0
A345206-A343330-A342676-A337917-A337196-A336355-A335520-A335462-A335453-A334740-A332671-A330735-A326688-A326687-A326686-A326685-A326684-A326683-A326682-A326681-A326680-A326679-A326678-A326549-A326548-A326547-A326546-A326545-A326544-A326543-A326542-A326541-A326540-A326463-A326462-A326461-A326460-A326459-A326458-A326457-A326456-A326455-A326292-A326291-A326075-A325720-A325650-A325318-A324870-A324803-A324802-A324731-A324179-A322438-A322437-A320742-A320647-A308583-A307721-A307343-A305892-A305821-A304572-A304571-A304570-A302907-A297247-A297244-A297046-A297045-A294929-A294889-A285007-A285006-A285005-A284978-A284974-A282289-A280815-A280617-A280492-A277165-A277164-A276653-A276570-A276183-A272624-A264668-A264009-A263787-A263014-A260502-A256974-A250002-A248805-A246580-A246578-A244606-A243836-A243835-A243834-A243833-A243832-A243831-A243199-A242435-A241690-A238403-A237123-A236460-A236417-A236374-A236265-A236241-A235358-A235145-A235044-A230915-A230686-A230571-A230533-A230398-A228953-A220441-A220093-A217156-A217155-A217151-A217149-A217148-A212619-A210718-A210633-A210632-A206499-A200214-A198255-A197629-A192541-A191928-A189973-A185715-A185709-A185294-A185284-A185264-A185255-A185246-A185245-A185244-A185238-A185237-A185229-A185228-A185203-A185044-A185037-A184946-A184945-A181838-A181735-A181340-A181009-A180995-A180989-A180601-A180472-A178798-A178780-A167263-A165878-A165766-A161280-A161279-A161278-A161277-A161276-A161275-A160990-A160989-A160988-A160987-A159708-A141097-A137579-A129947-A127937-A122180-A112802-A111899-A111898-A111895-A111859-A111855-A108322-A105519-A105517-A105514-A094382-A093392-A090318-A089458-A089457-A089456-A086015-A086007-A085982-A085980-A085974-A083344-A082998-A076142-A072769-A072325-A071839-A070206-A070205-A070204-A070202-A070141-A070097-A067169-A067168-A067159-A067157-A066035-A065687-A065685-A061858-A055967-A055965-A054900-A054439-A053473-A052375-A048037-A048026-A047752-A036877-A036861-A034582-A034581-A034580-A034579-A034578-A034577-A034576-A034575-A034574-A034573-A034572-A034571-A034570-A034569-A034568-A034567-A034566-A034565-A034564-A034563-A034562-A034561-A034560-A034559-A034558-A034557-A034556-A034555-A034554-A034553-A034552-A034551-A034550-A034549-A034548-A034547-A034546-A034545-A034544-A034543-A034542-A034541-A034540-A034539-A034538-A034537-A034536-A034535-A034534-A034533-A034532-A034531-A034530-A034529-A034528-A034527-A034526-A034525-A034523-A034522-A034521-A034520-A034519-A034518-A034516-A034515-A034514-A034512-A034511-A034510-A034509-A034508-A034507-A034506-A034505-A034504-A034503-A034502-A034501-A034500-A034499-A034498-A034497-A034495-A034493-A034492-A034490-A034489-A034487-A034486-A034485-A034484-A034483-A034482-A034481-A034480-A034479-A034477-A034476-A034475-A034473-A034471-A034469-A034468-A034467-A034466-A034465-A034464-A034462-A034461-A034459-A034458-A034457-A034456-A034455-A034454-A034453-A034452-A034451-A034450-A034449-A034447-A034446-A034445-A034443-A034441-A034440-A034439-A034438-A034437-A034435-A034434-A034432-A034431-A034429-A034427-A034426-A034425-A034424-A034423-A034422-A034421-A034420-A034419-A034417-A025469-A025466-A025444-A025443-A025439-A025438-A024682-A024681-A023976-A023975-A023974-A020740-A011745-A011744-A011743-A011742-A011741-A011740-A011739-A011738-A011737-A011736-A011735-A011734-A011733-A011732-A011731-A011730-A007394-A006983-A000004: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1
A346418-A339235-A336697-A336468-A335078-A330098-A326307-A322674-A319150-A319101-A318809-A318671-A316439-A309913-A307156-A305195-A304042-A296077-A291168-A291149-A290105-A289014-A288120-A287091-A284562-A280865-A279759-A279185-A278657-A275216-A274196-A272901-A272038-A271955-A271954-A271839-A271838-A271837-A269301-A266227-A262681-A262438-A262079-A260897-A254730-A254609-A249770-A242718-A240228-A239700-A236861-A231072-A215788-A214956-A213982-A195061-A194333-A194293-A194285-A193518-A193179-A184348-A184303-A180466-A179742-A178688-A177849-A175782-A172369-A172368-A172363-A172098-A167966-A167965-A167964-A161996-A161618-A160338-A153683-A153675-A152907-A152851-A152849-A152848-A152847-A152846-A152845-A152844-A152831-A141605-A139553-A139551-A139039-A137979-A136640-A135362-A133707-A127836-A125891-A121657-A119849-A119335-A117456-A113515-A111024-A103159-A102609-A101598-A098190-A097876-A097031-A096811-A091717-A085685-A082586-A079724-A076498-A074481-A070672-A066701-A064284-A063435-A062513-A061653-A061494-A059197-A059196-A053878-A049107-A049100-A043568-A043290-A036225-A035115-A032548-A032545-A030599-A016300-A016288-A016272-A016266-A016240-A016236-A016210-A016192-A016182-A016168-A016156-A016126-A016086-A016080-A016068-A016056-A016042-A016030-A015970-A015966-A015952-A015936-A015930-A015928-A015918-A015900-A015862-A015852-A015838-A015828-A015826-A015778-A015772-A015760-A015748-A015726-A015720-A015700-A015688-A015658-A015652-A015642-A015600-A015586-A015550-A015546-A015526-A015522-A015510-A015466-A015420-A015412-A015396-A015372-A015366-A015358-A015352-A015342-A015282-A015280-A015256-A015250-A015228-A015216-A015198-A015168-A015156-A015148-A015130-A015090-A015082-A015046-A015016-A015012-A014998-A014952-A014910-A014908-A014902-A014860-A014826-A014808-A014788-A014740-A014722-A014712-A014706-A014676-A014638-A014598-A014560-A014536-A014502-A014446-A014400-A014332-A000012: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2
A296076-A242259-A239374-A194338-A194334-A176170-A076303-A007395: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
x
A103303: 0 1 2 3 4 5 6 7 8 9
A345201-A341936-A341709-A335525-A335524-A335469-A331172-A328447-A326880-A326872-A323048-A322463-A298639-A292579-A291179-A277112-A275993-A274846-A274399-A273888-A273887-A273886-A273885-A273884-A273883-A273882-A273881-A273880-A272813-A272554-A272443-A272437-A272325-A272323-A272322-A272302-A272284-A272269-A272159-A272118-A272076-A272074-A271980-A271143-A268200-A267086-A267069-A266279-A262545-A262437-A262065-A261924-A260255-A258071-A258070-A258069-A258068-A258009-A256577-A254109-A250395-A250394-A247759-A247756-A247752-A247751-A247163-A247151-A239427-A236851-A236850-A236841-A236674-A229621-A214922-A203565-A191932-A191853-A188459-A182049-A179239-A175427-A171829-A167129-A160700-A154470-A138234-A136602-A135383-A135382-A135381-A130909-A130734-A130696-A128829-A124695-A123719-A123068-A118760-A118759-A115847-A114086-A113221-A113219-A108192-A106620-A106618-A090273-A089870-A089869-A089868-A089867-A084688-A081331-A078453-A076121-A071670-A071669-A066566-A059962-A057946-A057605-A056963-A056962-A056561-A055645-A055644-A055643-A053836-A052060-A052057-A051108-A051107-A050723-A050608-A048340-A048327-A048313-A046510-A043275-A039691-A036218-A033619-A032521-A032520-A032517-A032513-A032512-A030066-A029730-A028823-A025484-A025483-A023810-A023809-A023797-A023796-A023784-A023771-A023770-A023769-A023757-A008554-A004830-A002837-A001477: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
(2 + 1)
A157831-A053444-A010701: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
(x + 1)
A342591-A342523-A341749-A338555-A338497-A338331-A338265-A336358-A335376-A335282-A335280-A330232-A328617-A326200-A325400-A325383-A325360-A324720-A323404-A323368-A323366-A322554-A321993-A321293-A320249-A320113-A318893-A318892-A318535-A317945-A317257-A316530-A308702-A303502-A302026-A302025-A301274-A300473-A298359-A296906-A296903-A296900-A296897-A296894-A296891-A296888-A296885-A296882-A296879-A296876-A296873-A296870-A296867-A296864-A296765-A296762-A296089-A296088-A295886-A295020-A291769-A289555-A287478-A285054-A281873-A276568-A276347-A275776-A275164-A275156-A274055-A273058-A272215-A269396-A269395-A269394-A269393-A269331-A269172-A269171-A265711-A263314-A263028-A262530-A260424-A260423-A258266-A255422-A255421-A255408-A255407-A250251-A250250-A250249-A250248-A250247-A250246-A250245-A250244-A250243-A249830-A249818-A249817-A249816-A249815-A247064-A246103-A246102-A246101-A246100-A246099-A246098-A246097-A246095-A246094-A246093-A246091-A246090-A246089-A246087-A246086-A246083-A246082-A246079-A246076-A243903-A242474-A242031-A241989-A241673-A230034-A227981-A226537-A214701-A212554-A204315-A197640-A194967-A194966-A194907-A194906-A194417-A193989-A192438-A188462-A180925-A180493-A179978-A179797-A178772-A178157-A174670-A174228-A167976-A167975-A167974-A167662-A166719-A166718-A164710-A160547-A160546-A160544-A160543-A153679-A153671-A151764-A144972-A137317-A135579-A133137-A132264-A132263-A132086-A132033-A132016-A130446-A124231-A122937-A122079-A121761-A120951-A110548-A110303-A107602-A102800-A098452-A098451-A096105-A094759-A093618-A093616-A092629-A090322-A090111-A090110-A090109-A090108-A090107-A090106-A089247-A088480-A088382-A087143-A085736-A085735-A084981-A083243-A080686-A080685-A080684-A080683-A080682-A080681-A080197-A077342-A076499-A076084-A074805-A072676-A070915-A069782-A067080-A064598-A062996-A060340-A056064-A052425-A048266-A048242-A044923-A044922-A044921-A038770-A034837-A032966-A032951-A022465-A008684-A005555-A004441-A004438-A000027: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
(x - 1)
A023443: ~1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
(2 + 2)
A010709: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(x + 2)
A309810-A309066-A292740-A276181-A261906-A257333-A230308-A228144-A193176-A192218-A162421-A146297-A146296-A146295-A132145-A114142-A109427-A109425-A104661-A085380-A081330-A058321-A030545-A030542-A020725: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
(x - 2)
A023444: ~2 ~1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
(x * 2)
A055966-A055964-A005843: 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
(x div 2)
A331163-A330027-A330015-A327036-A274618-A111660-A021895-A004526: 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7
(x mod 2)
A339933-A216188-A125122-A000035: 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1
(0 - x)
A001489: 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12 ~13 ~14 ~15
(1 - x)
A024000: 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12 ~13 ~14
(2 - x)
A022958: 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12 ~13
(x * x)
A174452-A000290: 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225
(if x <= 0 then 1 else 0)
A341882-A341881-A341001-A341000-A340999-A325742-A323538-A319330-A318715-A307382-A285698-A284757-A278297-A249832-A240351-A226120-A210709-A181154-A172542-A151935-A151934-A151933-A151909-A151878-A151838-A151818-A151815-A151813-A151812-A151811-A151810-A151722-A151721-A151713-A151660-A151623-A151622-A151621-A151620-A147531-A146888-A134975-A112316-A112315-A112314-A111332-A097479-A091536-A088157-A088156-A088155-A080953-A076710-A072189-A067158-A067156-A058348-A058343-A023935-A023933-A023931-A023929-A018895-A018843-A015161-A015070-A014041-A010894-A010893-A000007: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if x <= 0 then 2 else 0)
A000038: 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if x <= 0 then 0 else 1)
A328672-A324872-A323022-A319689-A319679-A309026-A304118-A267084-A265404-A255270-A231560-A213004-A211666-A178489-A178487-A178334-A139128-A057427: 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(if x <= 0 then 2 else 1)
A058665-A054977: 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(if x <= 0 then 1 else 2)
A343356-A292563-A242253-A177830-A108248-A087104-A040000-A036453-A036452: 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
(if x <= 0 then 1 else x)
A028310: 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
((2 + 2) + 1)
A010716: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
(x - (2 + 1))
A023445: ~3 ~2 ~1 0 1 2 3 4 5 6 7 8 9 10 11 12
(x div (2 + 1))
A172474-A113675-A002264: 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5
(x mod (2 + 1))
A010872: 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0
((x + 2) + 1)
A154660: 3 4 5 6 7 8
A141213-A081311-A062983-A053233-A030544-A009056: 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
((x * 2) + 1)
A326835-A317439-A317107-A294748-A283002-A247328-A176271-A105356-A089684-A053229-A033041-A005408: 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
((x * 2) - 1)
A060747: ~1 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29
((x div 2) + 1)
A320467-A242681-A157271-A135020-A086388-A008619: 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8
((x mod 2) + 1)
A322357-A184319-A000034: 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2
((0 - x) - 1)
A001478: ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12 ~13 ~14 ~15 ~16
((2 - x) + 1)
A022959: 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12
(2 div (x + 1))
A033322: 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
((x * x) + 1)
A172411: 1 2 5 10
A217990-A002522: 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226
(x mod (0 - 2))
A293704-A262352: 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1
((2 + 1) * 2)
A010722: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
((x + 1) * 2)
A317440-A317108-A306720-A299174-A141098-A122080-A119432-A087113-A084564-A084563-A053228: 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
((x + 1) div 2)
A110654-A076938: 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8
((x + 1) mod 2)
A331218-A250299-A196563-A102818-A079806-A059841: 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0
((2 + 2) * 2)
A010731: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
(x - (2 + 2))
A023446: ~4 ~3 ~2 ~1 0 1 2 3 4 5 6 7 8 9 10 11
(x div (2 + 2))
A090617-A054893-A002265: 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3
(x mod (2 + 2))
A189480-A010873: 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3
((x + 2) + 2)
A227983-A114143-A081333-A081313-A030543-A020705: 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
((x + 2) * 2)
A193175-A063127: 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34
((x * 2) * 2)
A189917-A172326-A008586: 0 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
((x div 2) * 2)
A052928: 0 0 2 2 4 4 6 6 8 8 10 10 12 12 14 14
((x div 2) mod 2)
A285501-A188257-A021913: 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1
((x mod 2) + 2)
A010693: 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3
((x mod 2) * 2)
A010673: 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2
((1 - x) * 2)
A239229: 2 0 ~2 ~4 ~6 ~8 ~10 ~12 ~14 ~16 ~18 ~20 ~22 ~24 ~26 ~28
((2 - x) + 2)
A022960: 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11
(1 - (x * 2))
A165747: 1 ~1 ~3 ~5 ~7 ~9 ~11 ~13 ~15 ~17 ~19 ~21 ~23 ~25 ~27 ~29
((x * x) + 2)
A157656: 2 3 6 11 18 27
A059100: 2 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227
((x * x) * 2)
A001105: 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450
((x * x) div 2)
A007590: 0 0 2 4 8 12 18 24 32 40 50 60 72 84 98 112
((2 + 1) * x)
A008585: 0 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45
((x + 1) * x)
A002378: 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240
((x - 1) * x)
A279019: 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210
((x + 2) * x)
A005563: 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255
((x - 2) * x)
A067998: 0 ~1 0 3 8 15 24 35 48 63 80 99 120 143 168 195
((x div 2) + x)
A275672: 0 1 3 4 6 7 9
A258574-A032766: 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22
((x mod 2) * x)
A167465: 0 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15
(1 - (x * x))
A258837: 1 0 ~3 ~8 ~15 ~24 ~35 ~48 ~63 ~80 ~99 ~120 ~143 ~168 ~195 ~224
((x * x) * x)
A000578: 0 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375
(if x <= 0 then (0 - 1) else 0)
A328959: ~1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 1) <= 0 then 1 else 0)
A322308-A322281-A298859-A292547-A256433-A240357-A205987-A179961-A019590-A014071-A014067-A014055-A014047-A014043: 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if x <= 0 then (2 + 1) else 0)
A307802: 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then 1 else 0)
A130716-A094497-A094496-A014102-A014096-A014078-A014066-A014060: 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (2 - x) <= 0 then 1 else 0)
A274070-A225654-A157928-A077433: 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(1 - (if x <= 0 then 2 else 0))
A158388: ~1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(if (x - 1) <= 0 then x else 0)
A326168-A216284-A178333-A084928-A074038-A063524-A033683: 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x mod 2) <= 0 then x else 0)
A237420: 0 0 2 0 4 0 6 0 8 0 10 0 12 0 14 0
(if (2 - x) <= 0 then x else 0)
A199969: 0 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15
((if x <= 0 then 1 else 0) - 1)
A057428: 0 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
(if (x - 2) <= 0 then 0 else 1)
A065686-A000520: 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1
((if x <= 0 then 2 else 0) - 1)
A153881: 1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
(x - (if x <= 0 then 0 else 1))
A172275-A139179: 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
((if x <= 0 then 2 else 1) + 1)
A178815: 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
((if x <= 0 then 0 else 2) + 1)
A122916: 1 3 3 3 3
A122553-A087717: 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
(if (x - 1) <= 0 then 2 else 1)
A141044: 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
((if x <= 0 then 1 else 2) + 1)
A244919-A157532: 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
(if (2 - x) <= 0 then 2 else 1)
A341422-A211661-A087103-A053230: 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
(if (x - 2) <= 0 then x else 1)
A294619: 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).(x * 2),x,1)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A323830-A320487-A260814-A247208-A118655-A050732-A000079: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
(if x <= 0 then 0 else (x + 1))
A191882-A173474-A158377-A087156: 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
loop(\(x,i).(i * x),x,1)
A000142: 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000
(if (x - 2) <= 0 then 1 else 2)
A329683-A204560-A086858: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2
((if x <= 0 then 0 else 2) + 2)
A040002: 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
((if x <= 0 then 1 else 2) + 2)
A255176: 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(if x <= 0 then 1 else (2 + 2))
A141248-A123932: 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(if (x - 1) <= 0 then x else 2)
A130130: 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2
((if x <= 0 then 1 else x) * 2)
A202102: 2 2 4 6 8 10
((if x <= 0 then 1 else x) mod 2)
A135528-A098800: 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1
loop(\(x,i).(x * 2),x,2)
A025489: 2 4 8 16 32 64
((if x <= 0 then 2 else x) div 2)
A123108: 1 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7
(if x <= 0 then 0 else (x + 2))
A114637-A029674: 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
(if x <= 0 then 1 else (x + 2))
A121818-A065475-A026505: 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
(if x <= 0 then 1 else (x * 2))
A241071: 1 2 4 6 8 10 12
A271907: 1 2 4 6 8 10 12 14 16 18
A338922-A105360-A076032-A004277: 1 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
(if x <= 0 then 2 else (x mod 2))
A215036: 2 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1
(if (2 - x) <= 0 then x else 2)
A233583: 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15
loop(\(x,i).(x * x),x,2)
A001146: 2 4 16 256 65536 4294967296 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,2)
A208529: 2 2 4 12 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
(if (x mod 2) <= 0 then 1 else x)
A093178: 1 1 1 3 1 5 1 7 1 9 1 11 1 13 1 15
(1 mod (if x <= 0 then 2 else x))
A339221-A060576: 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(2 div (if x <= 0 then 2 else x))
A130713: 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).(x * 2),x,x)
A036289: 0 2 8 24 64 160 384 896 2048 4608 10240 22528 49152 106496 229376 491520
(if x <= 0 then 1 else (x * x))
A253909: 1 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225
loop(\(x,i).(x * x),x,x)
A097547: 0 1 16 6561 4294967296 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,x)
A001563: 0 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 19615115520000
((x div (2 + 1)) + 1)
A296357-A127757-A008620: 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6
((x mod (2 + 1)) + 1)
A010882: 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1
((2 mod (x + 1)) - 1)
A299912: ~1 ~1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(((2 + 1) * 2) + 1)
A010727: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
(((x + 1) * 2) + 1)
A144396-A082453-A081874: 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33
(((x + 1) div 2) + 1)
A330878-A109728-A080513: 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9
(((2 + 2) * 2) + 1)
A292864-A181693-A099646-A010734: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
(x - ((2 + 2) + 1))
A023447: ~5 ~4 ~3 ~2 ~1 0 1 2 3 4 5 6 7 8 9 10
(x div ((2 + 2) + 1))
A301506-A108611-A027868-A002266: 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3
(x mod ((2 + 2) + 1))
A278182-A010874: 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0
((x div (2 + 2)) + 1)
A328301-A235492-A226762-A008652-A008621: 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4
((x mod (2 + 2)) + 1)
A010883: 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
(((x + 2) + 2) + 1)
A030541-A020710: 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
(((x + 2) * 2) + 1)
A333038-A049013-A020735: 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35
(((x * 2) * 2) + 1)
A016813: 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61
(((x div 2) * 2) + 1)
A293701-A109613: 1 1 3 3 5 5 7 7 9 9 11 11 13 13 15 15
(((x div 2) mod 2) + 1)
A130658: 1 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2
(((x mod 2) + 2) + 1)
A010702: 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4
(((x mod 2) * 2) + 1)
A010684: 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3
((x + 1) * (2 + 1))
A337244-A194416-A135943-A031193: 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48
((x + 1) div (2 + 1))
A157685-A062299: 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5
((2 + 2) * (2 + 1))
A010851: 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
((x + 2) div (2 + 1))
A261916: 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5
((x * 2) * (2 + 1))
A008588: 0 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90
((x * 2) div (2 + 1))
A121930-A004523: 0 0 1 2 2 3 4 4 5 6 6 7 8 8 9 10
((x * 2) mod (2 + 1))
A080425: 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0
((x div 2) * (2 + 1))
A168237: 0 0 3 3 6 6 9 9 12 12 15 15 18 18 21 21
((x div 2) div (2 + 1))
A340763-A152467-A111856-A054895: 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2
((x div 2) mod (2 + 1))
A131555: 0 0 1 1 2 2 0 0 1 1 2 2 0 0 1 1
((x mod 2) * (2 + 1))
A021037-A010674: 0 3 0 3 0 3 0 3 0 3 0 3 0 3 0 3
((2 - x) + (2 + 1))
A022961: 5 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10
(x - (x div (2 + 1)))
A322042-A032509: 0 1 2 2 3 4 4 5 6 6 7 8 8 9 10 10
(1 - (x mod (2 + 1)))
A057078: 1 0 ~1 1 0 ~1 1 0 ~1 1 0 ~1 1 0 ~1 1
((x * x) + (2 + 1))
A117950: 3 4 7 12 19 28 39 52 67 84 103 124 147 172 199 228
((x * x) * (2 + 1))
A033428: 0 3 12 27 48 75 108 147 192 243 300 363 432 507 588 675
((x * x) div (2 + 1))
A000212: 0 0 1 3 5 8 12 16 21 27 33 40 48 56 65 75
((x * x) mod (2 + 1))
A022928-A011655: 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0
(x mod ((x div 2) + 1))
A140106: 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7
((2 - (x mod 2)) + 1)
A176059: 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2
(x div ((x mod 2) + 1))
A065423: 0 0 2 1 4 2 6 3 8 4 10 5 12 6 14 7
(((x * x) * 2) + 1)
A058331: 1 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451
(((x * x) * 2) - 1)
A056220: ~1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449
(((x * x) div 2) + 1)
A099392: 1 1 3 5 9 13 19 25 33 41 51 61 73 85 99 113
(((2 + 1) * x) + 1)
A145289-A016777: 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46
(((x + 1) * x) + 1)
A169627: 1 3 7 13 21 31
A247890: 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241
(((x - 1) * x) + 1)
A084537-A002061: 1 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211
(((x - 1) * x) - 1)
A165900: ~1 ~1 1 5 11 19 29 41 55 71 89 109 131 155 181 209
(((x + 2) * x) + 1)
A221222: 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256
(((x + 2) * x) - 1)
A008865: ~1 2 7 14 23 34 47 62 79 98 119 142 167 194 223 254
(((x - 2) * x) + 1)
A174902: 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196
(((x div 2) + x) + 1)
A329925-A329843-A292640-A274384-A248607-A224999-A191266-A127450-A059564-A054386-A001651: 1 2 4 5 7 8 10 11 13 14 16 17 19 20 22 23
((2 + 1) div (x + 1))
A278105: 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
((2 + 2) * (x + 1))
A337080-A059558: 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64
((2 + 2) div (x + 1))
A033324: 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0
(1 - (2 div (x + 1)))
A261012: ~1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
((x * 2) * (x + 1))
A046092: 0 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480
((x * x) * (x + 1))
A011379: 0 2 12 36 80 150 252 392 576 810 1100 1452 1872 2366 2940 3600
((x * x) * (x - 1))
A045991: 0 0 4 18 48 100 180 294 448 648 900 1210 1584 2028 2548 3150
(2 - (x div (0 - 2)))
A177876: 2 3 3 4
(x - (x div (0 - 2)))
A258575-A007494: 0 2 3 5 6 8 9 11 12 14 15 17 18 20 21 23
(((2 + 2) + 1) * 2)
A010692: 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
(x - ((2 + 1) * 2))
A023448: ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3 4 5 6 7 8 9
(x mod ((2 + 1) * 2))
A010875: 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3
((x div (2 + 1)) + 2)
A079001: 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7
((x mod (2 + 1)) div 2)
A286747-A285936-A212663-A144604-A022926-A022003: 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0
(((x + 2) + 1) * 2)
A064466-A020739: 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
(((x * 2) + 1) * 2)
A122905-A016825: 2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62
(((x div 2) + 1) div 2)
A326032: 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4
(((x div 2) + 1) mod 2)
A320006-A133872: 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0
(((x mod 2) + 1) * 2)
A010694: 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4
((2 mod (x + 1)) + 2)
A267649: 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(((x * x) + 1) * 2)
A271624: 2 4 10 20 34 52 74 100 130 164 202 244 290 340 394 452
(((x * x) + 1) div 2)
A192225: 0 1 2 5
A000982: 0 1 2 5 8 13 18 25 32 41 50 61 72 85 98 113
((x div (0 - 2)) mod 2)
A269927: 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0
(((x + 1) div 2) div 2)
A129253: 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4
(((2 + 2) * 2) * 2)
A010855: 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
(x - ((2 + 2) * 2))
A023450: ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3 4 5 6 7
(x div ((2 + 2) * 2))
A303119-A297037-A294234-A277158-A161314-A161300-A161287-A161262-A161248-A161234-A161110-A161097-A161084-A161071-A161058-A161045-A161033-A160979-A132292-A054897-A035672-A033112: 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1
(x mod ((2 + 2) * 2))
A309959-A010877: 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7
((x div (2 + 2)) * 2)
A122461: 0 0 0 0 2 2 2 2 4 4 4 4 6 6 6 6
((x mod (2 + 2)) + 2)
A328943: 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5
((x mod (2 + 2)) * 2)
A131806: 0 2 4 6 0 2 4 6 0 2 4 6 0 2 4 6
(((x + 2) + 2) + 2)
A030546-A020715: 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
(((x + 2) + 2) * 2)
A020744: 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38
(((x + 2) * 2) * 2)
A192544: 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68
(((x * 2) * 2) * 2)
A008590: 0 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120
(((x mod 2) + 2) + 2)
A010710: 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5
(((x mod 2) + 2) * 2)
A010711: 4 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6
(((x mod 2) * 2) * 2)
A010675: 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4
((0 - x) mod (2 + 2))
A158459: 0 3 2 1 0 3 2 1 0 3 2 1 0 3 2 1
((2 - x) + (2 + 2))
A022962: 6 5 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9
(x - (x div (2 + 2)))
A215090-A093700-A076539: 0 1 2 3 3 4 5 6 6 7 8 9 9 10 11 12
((x * x) + (2 + 2))
A087475: 4 5 8 13 20 29 40 53 68 85 104 125 148 173 200 229
((x * x) * (2 + 2))
A016742: 0 4 16 36 64 100 144 196 256 324 400 484 576 676 784 900
((x * x) div (2 + 2))
A002620: 0 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56
((2 - (x mod 2)) * 2)
A105397: 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2
(x mod ((x mod 2) + 2))
A110270: 0 1 0 0 0 2 0 1 0 0 0 2 0 1 0 0
(1 - ((x mod 2) * 2))
A033999-A016327-A016303-A016287-A016251-A016171-A016155-A016083-A016023-A016015-A015987-A015895-A015811-A015807-A015795-A015711-A015643-A015607-A015567-A015471-A015435-A015415-A015403-A015343-A015267-A015187-A015111-A015063-A014995-A014883-A014791-A014655: 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1
(((x * x) + 2) * 2)
A255843: 4 6 12 22 36 54 76 102 132 166 204 246 292 342 396 454
(((2 + 1) * x) + 2)
A292661-A190082-A016789: 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47
(((x + 1) * x) + 2)
A014206: 2 4 8 14 22 32 44 58 74 92 112 134 158 184 212 242
(((x + 1) * x) div 2)
A130910-A109811-A105340-A105339-A105338-A105337-A105336-A078256-A077367-A000217: 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120
(((x - 1) * x) div 2)
A161680: 0 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105
(((x + 2) * x) - 2)
A123968: ~2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253
(((x + 2) * x) * 2)
A054000: 0 6 16 30 48 70 96 126 160 198 240 286 336 390 448 510
(((x - 2) * x) + 2)
A160457: 2 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197
(((x div 2) + x) + 2)
A052490: 2 3 5 6 8 9 11 12 14 15 17 18 20 21 23 24
(((x div 2) + x) * 2)
A047238: 0 2 6 8 12 14 18 20 24 26 30 32 36 38 42 44
(((x div 2) + x) div 2)
A187329-A057353: 0 0 1 2 3 3 4 5 6 6 7 8 9 9 10 11
(((x div 2) * x) mod 2)
A342024-A342023-A331282-A331169-A285464-A276077-A188221-A129251-A011765: 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
(((x mod 2) + x) * 2)
A168273: 0 4 4 8 8 12 12 16 16 20 20 24 24 28 28 32
(((x mod 2) * x) div 2)
A234585-A234584-A234583-A034948: 0 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7
((x div 2) + (x * 2))
A047215-A038126: 0 2 5 7 10 12 15 17 20 22 25 27 30 32 35 37
((x mod 2) + (x * 2))
A014601: 0 3 4 7 8 11 12 15 16 19 20 23 24 27 28 31
((x * x) * (x * 2))
A033431: 0 2 16 54 128 250 432 686 1024 1458 2000 2662 3456 4394 5488 6750
((x div 2) * (x div 2))
A008794: 0 0 1 1 4 4 9 9 16 16 25 25 36 36 49 49
((x * x) + (x div 2))
A035608: 0 1 5 10 18 27 39 52 68 85 105 126 150 175 203 232
((x * x) - (x div 2))
A014848: 0 1 3 8 14 23 33 46 60 77 95 116 138 163 189 218
((x * x) * (x div 2))
A265645: 0 0 4 9 32 50 108 147 256 324 500 605 864 1014 1372 1575
(x div (2 - (x mod 2)))
A026741: 0 1 1 3 2 5 3 7 4 9 5 11 6 13 7 15
((x * 2) - (x mod 2))
A126001-A042948: 0 1 4 5 8 9 12 13 16 17 20 21 24 25 28 29
(((x * x) * x) + 2)
A084380: 2 3 10 29 66 127 218 345 514 731 1002 1333 1730 2199 2746 3377
(((x * x) * x) div 2)
A036487: 0 0 4 13 32 62 108 171 256 364 500 665 864 1098 1372 1687
(((2 + 2) + 1) * x)
A172336-A172328-A008587: 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75
((x div (2 + 1)) + x)
A138083: 0 1 2 4 5 6
A317551-A104401-A039070-A004773: 0 1 2 4 5 6 8 9 10 12 13 14 16 17 18 20
((x div (2 + 1)) * x)
A242669: 0 0 0 3 4 5 12 14 16 27 30 33 48 52 56 75
(((x + 2) + 1) * x)
A028552: 0 4 10 18 28 40 54 70 88 108 130 154 180 208 238 270
(((x * 2) + 1) * x)
A014105: 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465
(((x * 2) - 1) * x)
A000384: 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435
(((x mod 2) + 1) * x)
A109043: 0 2 2 6 4 10 6 14 8 18 10 22 12 26 14 30
((2 mod (x + 1)) + x)
A214084: 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17
(1 - ((x + 1) * x))
A110331: 1 ~1 ~5 ~11 ~19 ~29 ~41 ~55 ~71 ~89 ~109 ~131 ~155 ~181 ~209 ~239
(((x * x) + 1) * x)
A034262: 0 2 10 30 68 130 222 350 520 738 1010 1342 1740 2210 2758 3390
(((x - 1) div 2) * x)
A050187: 0 0 0 3 4 10 12 21 24 36 40 55 60 78 84 105
(((2 + 2) * 2) + x)
A020722: 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
(((2 + 2) * 2) - x)
A022964: 8 7 6 5 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7
((x div (2 + 2)) + x)
A087069-A039145-A038129-A023737-A020654-A001068: 0 1 2 3 5 6 7 8 10 11 12 13 15 16 17 18
((x mod (2 + 2)) + x)
A083220: 0 2 4 6 4 6 8 10 8 10 12 14 12 14 16 18
(((x + 2) + 2) * x)
A028347: 0 5 12 21 32 45 60 77 96 117 140 165 192 221 252 285
(((x + 2) * 2) + x)
A070300: 4 7 10 13 16 19 22
((2 - (x div 2)) * x)
A079243: 0 2 2 3
((2 - (x mod 2)) * x)
A022998: 0 1 4 3 8 5 12 7 16 9 20 11 24 13 28 15
(((x * x) + 2) * x)
A054602: 0 3 12 33 72 135 228 357 528 747 1020 1353 1752 2223 2772 3405
(((x * x) - 2) * x)
A242135: 0 ~1 4 21 56 115 204 329 496 711 980 1309 1704 2171 2716 3345
(((x div 2) + x) * x)
A249127: 0 1 6 12 24 35 54 70 96 117 150 176 216 247 294 330
(1 div (2 - (x * x)))
A134824: 0 1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
((x * x) * (x * x))
A000583: 0 1 16 81 256 625 1296 2401 4096 6561 10000 14641 20736 28561 38416 50625
(1 - ((x * x) * x))
A024001: 1 0 ~7 ~26 ~63 ~124 ~215 ~342 ~511 ~728 ~999 ~1330 ~1727 ~2196 ~2743 ~3374
(if (x - (2 + 1)) <= 0 then 1 else 0)
A329678: 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
(if (x mod (2 + 1)) <= 0 then 1 else 0)
A079978: 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1
(if x <= 0 then ((2 + 2) + 1) else 0)
A236239-A020761: 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - (2 + 2)) <= 0 then 1 else 0)
A014194-A014164-A014154-A014124-A014104-A014094: 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
(if (x mod (2 + 2)) <= 0 then 1 else 0)
A265260-A121262-A059484: 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0
(if ((2 - x) + 2) <= 0 then 1 else 0)
A297033-A175801-A161093-A130543-A111852-A071701: 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1
(if (x - 1) <= 0 then (x + 1) else 0)
A072507: 1 2 0 0 0 0 0 0 0 0 0
A130706: 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then (x + 1) else 0)
A173012: 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x mod 2) <= 0 then (x + 1) else 0)
A193356: 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0
(if (2 - x) <= 0 then (x - 2) else 0)
A289207: 0 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13
(if (x - 2) <= 0 then (x div 2) else 0)
A343957-A328794-A185012-A181837: 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x mod 2) <= 0 then (x div 2) else 0)
A326834-A309261-A276457-A257770-A171181-A142150-A135472: 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0
(if (x - 1) <= 0 then (0 - x) else 0)
A159075: 0 ~1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((x * 2) + 1),x,0)
A222010: 0 1 3 7
A000225: 0 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767
loop(\(x,i).((x * x) + 1),x,0)
A192225: 0 1 2 5
A003095: 0 1 2 5 26 677 458330 210066388901 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * x) + 1),x,0)
A002627: 0 1 3 10 41 206 1237 8660 69281 623530 6235301 68588312 823059745 10699776686 149796873605 2246953104076
loop(\(x,i).((x + 2) * 2),x,0)
A028399: 0 4 12 28 60 124 252 508 1020 2044 4092 8188 16380 32764 65532 131068
loop(\(x,i).((x * x) + 2),x,0)
A072191: 0 2 6 38 1446 2090918 4371938082726 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) * 2),x,0)
A145654: 0 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738 65504 131038
loop(\(x,i).((i * i) + x),x,0)
A000330: 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240
loop(\(x,i).((x + 1) * i),x,0)
A007526: 0 1 4 15 64 325 1956 13699 109600 986409 9864100 108505111 1302061344 16926797485 236975164804 3554627472075
loop(\(x,i).((x * x) + i),x,0)
A098152: 0 1 3 12 148 21909 480004287 230404115538378376 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) - i),x,0)
A153059: 0 ~1 ~1 ~2 0 ~5 19 354 125308 15702094855 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) * i),x,0)
A030297: 0 1 6 27 124 645 3906 27391 219192 1972809 19728190 217010211 2604122676 33853594957 473950329594 7109254944135
(if (x - (2 + 2)) <= 0 then 0 else 1)
A297034-A235043-A161107-A161094-A161068-A161042: 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1
(if (x mod (2 + 2)) <= 0 then 0 else 1)
A341625-A188260-A166486-A144609: 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1
(if ((x div 2) - 2) <= 0 then 0 else 1)
A297035-A230493-A185714-A163858-A161108-A161095-A161069-A161043-A121902-A071842: 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1
((if (x mod 2) <= 0 then 2 else 0) + 1)
A176040: 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1
(if (x mod 2) <= 0 then 2 else (0 - 1))
A168361: 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1
((if (x - 1) <= 0 then x else 0) + 1)
A087102: 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
((x * 2) - (if x <= 0 then 0 else 1))
A004273: 0 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29
((if (2 - x) <= 0 then 2 else 1) + 1)
A326166-A165024: 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
loop(\(x,i).i,((x div 2) - 1),1)
A025159: 1 1 1 1 1 1 2 2 3 3 4 4 5 5 6 6
(loop(\(x,i).(x * 2),x,1) + 1)
A000051: 2 3 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385 32769
((if (x mod 2) <= 0 then x else 1) + 1)
A141310: 1 2 3 2 5 2 7 2 9 2 11 2 13 2 15 2
loop(\(x,i).(x * 2),(x - 1),1)
A274867-A274866-A274865-A249169-A220493-A011782: 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384
(loop(\(x,i).(i * x),x,1) + 1)
A038507: 2 2 3 7 25 121 721 5041 40321 362881 3628801 39916801 479001601 6227020801 87178291201 1307674368001
(loop(\(x,i).(i * x),x,1) - 1)
A033312: 0 0 1 5 23 119 719 5039 40319 362879 3628799 39916799 479001599 6227020799 87178291199 1307674367999
(if x <= 0 then ((2 + 1) * 2) else 1)
A257936: 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
((if (x - 2) <= 0 then 1 else 2) + 1)
A345073: 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3
(if x <= 0 then 0 else ((2 + 2) + 1))
A021022: 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
loop(\(x,i).i,(x div (2 + 2)),1)
A097913: 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3
(if ((2 - x) + 2) <= 0 then 2 else 1)
A214455-A110591-A097944: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
loop(\(x,i).i,((x div 2) - 2),1)
A122522-A025161: 1 1 1 1 1 1 1 1 2 2 3 3 4 4 5 5
((if x <= 0 then 0 else 2) * (2 + 1))
A021019: 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
((if x <= 0 then 1 else 2) * (2 + 1))
A040006: 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
((if x <= 0 then 1 else x) + (2 + 1))
A243427: 4 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
loop(\(x,i).(x * 2),x,(2 + 1))
A007283: 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304
loop(\(x,i).(x * x),x,(2 + 1))
A011764: 3 9 81 6561 43046721 1853020188851841 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,(2 + 1))
A052560: 3 3 6 18 72 360 2160 15120 120960 1088640 10886400 119750400 1437004800 18681062400 261534873600 3923023104000
((if (x - 1) <= 0 then x else 2) + 1)
A185436-A158799: 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
(loop(\(x,i).(x * 2),x,2) + 1)
A048578: 3 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385 32769 65537
(loop(\(x,i).(x * 2),x,2) - 1)
A168604-A126646: 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535
((if x <= 0 then 0 else (x + 2)) + 1)
A171463-A026434-A026419: 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
((if x <= 0 then 1 else (x + 2)) + 1)
A162880: 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
loop(\(x,i).(i * x),(x * 2),1)
A279309-A010050: 1 2 24 720 40320 3628800 479001600 87178291200 20922789888000 6402373705728000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x div 2),1)
A076939-A016116: 1 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128
loop(\(x,i).(i * x),(x div 2),1)
A081123: 1 1 1 1 2 2 6 6 24 24 120 120 720 720 5040 5040
(loop(\(x,i).(x * x),x,2) + 1)
A164307-A019434: 3 5 17 257 65537
A262534: 3 5 17 257 65537 4294967297
A000215: 3 5 17 257 65537 4294967297 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),x,2) - 1)
A250405: 1 3 15 255 65535
A051179: 1 3 15 255 65535 4294967295 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,2) + 1)
A052898: 3 3 5 13 49 241 1441 10081 80641 725761 7257601 79833601 958003201 12454041601 174356582401 2615348736001
(loop(\(x,i).(i * x),x,2) - 1)
A020543: 1 1 3 11 47 239 1439 10079 80639 725759 7257599 79833599 958003199 12454041599 174356582399 2615348735999
((if (x - 2) <= 0 then 0 else x) + 1)
A171526: 1 1 1 4 5 6 7 8 9 10 11 12 13 14 15 16
(if (x mod (2 + 1)) <= 0 then x else 1)
A088439: 0 1 1 3 1 1 6 1 1 9 1 1 12 1 1 15
((if (x mod 2) <= 0 then 1 else x) + 1)
A133265: 2 2 2 4 2 6 2 8 2 10 2 12 2 14 2 16
((2 div (if x <= 0 then 1 else x)) + 1)
A261143: 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).((i * x) + 1),x,1)
A309115: 1 2 5 16
A000522: 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 3554627472076
loop(\(x,i).((x + 1) * 2),x,1)
A099018-A033484: 1 4 10 22 46 94 190 382 766 1534 3070 6142 12286 24574 49150 98302
(if (x mod (2 + 2)) <= 0 then x else 1)
A088440: 0 1 1 1 4 1 1 1 8 1 1 1 12 1 1 1
((if x <= 0 then (2 + 2) else x) + 1)
A031285: 5 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
loop(\(x,i).((x + 2) * 2),x,1)
A048487: 1 6 16 36 76 156 316 636 1276 2556 5116 10236 20476 40956 81916 163836
loop(\(x,i).((x - 2) * 2),x,1)
A165751: 1 ~2 ~8 ~20 ~44 ~92 ~188 ~380 ~764 ~1532 ~3068 ~6140 ~12284 ~24572 ~49148 ~98300
loop(\(x,i).((x * 2) * 2),x,1)
A000302: 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824
((if (x mod 2) <= 0 then 2 else x) - 1)
A124625: 1 0 1 2 1 4 1 6 1 8 1 10 1 12 1 14
loop(\(x,i).((0 - x) * 2),x,1)
A122803: 1 ~2 4 ~8 16 ~32 64 ~128 256 ~512 1024 ~2048 4096 ~8192 16384 ~32768
loop(\(x,i).((1 - x) * 2),x,1)
A151575: 1 0 2 ~2 6 ~10 22 ~42 86 ~170 342 ~682 1366 ~2730 5462 ~10922
loop(\(x,i).((2 - x) * 2),x,1)
A084247: 1 2 0 4 ~4 12 ~20 44 ~84 172 ~340 684 ~1364 2732 ~5460 10924
loop(\(x,i).(1 - (x * 2)),x,1)
A077925: 1 ~1 3 ~5 11 ~21 43 ~85 171 ~341 683 ~1365 2731 ~5461 10923 ~21845
loop(\(x,i).((x * x) + 2),x,1)
A102847: 1 3 11 123 15131 228947163 52416803445748571 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * 2),x,1)
A058891: 1 2 8 128 32768 2147483648 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) * 2),x,1)
A097809: 1 4 12 30 68 146 304 622 1260 2538 5096 10214 20452 40930 81888 163806
loop(\(x,i).((i * x) * 2),x,1)
A000165: 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 51011754393600 1428329123020800 42849873690624000
((if x <= 0 then 0 else 2) * (x + 1))
A163300: 0 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
((if x <= 0 then 1 else 2) * (x + 1))
A231407: 1 4 6
A272651-A103517: 1 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
(if (x - 1) <= 0 then x else (x + 1))
A184985-A179005: 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16
(if (x - 2) <= 0 then x else (x + 1))
A138083: 0 1 2 4 5 6
A326178: 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16
loop(\(x,i).(i - x),x,(x + 1))
A319556: 1 ~1 4 ~2 7 ~3 10 ~4 13 ~5 16 ~6 19 ~7 22 ~8
loop(\(x,i).((2 + 1) * x),x,1)
A000244: 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907
loop(\(x,i).((x + 1) * x),x,1)
A242927-A014117: 1 2 6 42 1806
A007018: 1 2 6 42 1806 3263442 10650056950806 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,x) + 1)
A002064: 1 3 9 25 65 161 385 897 2049 4609 10241 22529 49153 106497 229377 491521
loop(\(x,i).(x * 2),(x * x),1)
A002416: 1 2 16 512 65536 33554432 68719476736 562949953421312 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(x * x),1)
A088020: 1 1 24 362880 20922789888000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) + x),x,1)
A079583: 1 3 8 19 42 89 184 375 758 1525 3060 6131 12274 24561 49136 98287
loop(\(x,i).((i + x) * x),x,1)
A110384: 1 2 8 88 8096 65585696 4301483913318592 4611686018427387903 4611686018427387903
loop(\(x,i).((i * x) * x),x,1)
A052129: 1 1 2 12 576 1658880 16511297126400 4611686018427387903 4611686018427387903
loop(\(x,i).((0 - i) * x),x,1)
A133942: 1 ~1 2 ~6 24 ~120 720 ~5040 40320 ~362880 3628800 ~39916800 479001600 ~6227020800 87178291200 ~1307674368000
loop(\(x,i).(1 - (i * x)),x,1)
A182386: 1 0 1 ~2 9 ~44 265 ~1854 14833 ~133496 1334961 ~14684570 176214841 ~2290792932 32071101049 ~481066515734
loop(\(x,i).((i * i) + x),x,1)
A056520: 1 2 6 15 31 56 92 141 205 286 386 507 651 820 1016 1241
loop(\(x,i).((i * i) - x),x,1)
A125577: 1 0 4 5 11 14 22 27 37 44 56 65 79 90 106 119
loop(\(x,i).((i * i) * x),x,1)
A001044: 1 1 4 36 576 14400 518400 25401600 1625702400 131681894400 13168189440000 1593350922240000 229442532802560000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * i),x,1)
A033540: 1 2 6 21 88 445 2676 18739 149920 1349289 13492900 148421911 1781062944 23153818285 324153456004 4862301840075
loop(\(x,i).((x - 1) * i),x,1)
A166554: 1 0 ~2 ~9 ~40 ~205 ~1236 ~8659 ~69280 ~623529 ~6235300 ~68588311 ~823059744 ~10699776685 ~149796873604 ~2246953104075
loop(\(x,i).((x + 2) * i),x,1)
A188545: 1 3 10
A165792: 1 3 10 36 152 770 4632 32438 259520 2335698 23357000 256927022 3083124288 40080615770 561128620808 8416929312150
loop(\(x,i).((x - 2) * i),x,1)
A165793: 1 ~1 ~6 ~24 ~104 ~530 ~3192 ~22358 ~178880 ~1609938 ~16099400 ~177093422 ~2125121088 ~27626574170 ~386772038408 ~5801580576150
loop(\(x,i).((x * x) + i),x,1)
A028300: 1 2 6 39 1525 2325630 5408554896906 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) * i),x,1)
A053817: 1 2 8 33 148 765 4626 32431 259512 2335689 23356990 256927011 3083124276 40080615757 561128620794 8416929312135
(if (x mod (2 + 2)) <= 0 then 0 else 2)
A277024: 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2
(if (x mod 2) <= 0 then 1 else (0 - 2))
A327767: 1 ~2 1 ~2 1 ~2 1 ~2 1 ~2 1 ~2 1 ~2 1 ~2
loop(\(x,i).(i - x),x,(0 - 2))
A152832: ~2 3 ~1 4 0 5 1 6 2 7 3 8 4 9 5 10
((x - (if x <= 0 then 0 else 1)) mod 2)
A144608: 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0
(if (x mod (2 + 1)) <= 0 then 1 else 2)
A130196: 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1
(if (x - (2 + 2)) <= 0 then 1 else 2)
A339276-A217693-A168353-A110592-A069926-A060417: 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2
(if ((x div 2) - 2) <= 0 then 1 else 2)
A204553-A085576-A032550: 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
(if x <= 0 then 1 else ((2 + 1) * 2))
A020793: 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
(((if x <= 0 then 1 else x) + 1) div 2)
A248180-A088461-A065033-A034888: 1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8
(loop(\(x,i).(x * 2),x,1) + 2)
A052548: 3 4 6 10 18 34 66 130 258 514 1026 2050 4098 8194 16386 32770
(loop(\(x,i).(x * 2),x,1) - 2)
A000918: ~1 0 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766
(loop(\(x,i).(x * 2),x,1) div 2)
A131577: 0 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384
((if (x mod 2) <= 0 then x else 1) * 2)
A266073: 0 2 4 2 8 2 12 2 16 2 20 2 24 2 28 2
(loop(\(x,i).(i * x),x,1) - 2)
A261193: ~1 ~1 0 4 22 118 718 5038 40318 362878 3628798 39916798 479001598 6227020798 87178291198 1307674367998
(((if x <= 0 then 2 else 0) + 2) * 2)
A131921: 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(((if x <= 0 then 0 else 2) + 2) * 2)
A040012: 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
(((if x <= 0 then 1 else 2) + 2) * 2)
A049110: 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
(if (x mod 2) <= 0 then 1 else (2 + 2))
A010685: 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1 4
loop(\(x,i).(x * 2),x,(2 + 2))
A020707: 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072
((if x <= 0 then 1 else (x + 2)) + 2)
A285173-A009005: 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
((if x <= 0 then 1 else (x * 2)) + 2)
A051755: 3 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
(if x <= 0 then 1 else ((x * 2) * 2))
A295774-A008574: 1 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
(if x <= 0 then 1 else ((x div 2) + 2))
A266977-A091374-A005410: 1 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9
(loop(\(x,i).(x * x),x,2) - 2)
A070813: 0 2 14 254 65534
loop(\(x,i).((x * 2) + 1),x,2)
A192580: 2 5 11 23 47
A153893: 2 5 11 23 47 95 191 383 767 1535 3071 6143 12287 24575 49151 98303
(2 - ((if x <= 0 then 1 else x) mod 2))
A066788-A040001: 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1
loop(\(x,i).((x * x) - 1),x,2)
A003096: 2 3 8 63 3968 15745023 247905749270528 4611686018427387903 4611686018427387903
loop(\(x,i).((i * x) + 1),x,2)
A201363: 2 3 7
A038159: 2 3 7 22 89 446 2677 18740 149921 1349290 13492901 148421912 1781062945 23153818286 324153456005 4862301840076
loop(\(x,i).((x + 1) * 2),x,2)
A228038: 2 6 14 30 62
loop(\(x,i).((x * 2) * 2),x,2)
A004171: 2 8 32 128 512 2048 8192 32768 131072 524288 2097152 8388608 33554432 134217728 536870912 2147483648
((if (x mod 2) <= 0 then 2 else x) div 2)
A057979: 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7
((2 div (if x <= 0 then 2 else x)) mod 2)
A240465-A240353-A186719-A154272-A014061-A014053: 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((i * x) * 2),x,2)
A066318: 2 4 16 96 768 7680 92160 1290240 20643840 371589120 7431782400 163499212800 3923981107200 102023508787200 2856658246041600 85699747381248000
loop(\(x,i).(i * x),x,(x + 2))
A001048: 2 3 8 30 144 840 5760 45360 403200 3991680 43545600 518918400 6706022400 93405312000 1394852659200 22230464256000
(if (x mod 2) <= 0 then 1 else (x * 2))
A266303: 1 2 1 6 1 10 1 14 1 18 1 22 1 26 1 30
loop(\(x,i).(x * x),2,(x * 2))
A016744: 0 16 256 1296 4096 10000 20736 38416 65536 104976 160000 234256 331776 456976 614656 810000
((if x <= 0 then 1 else x) + (x * 2))
A008486: 1 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45
loop(\(x,i).(x * 2),x,(x * 2))
A058922: 0 4 16 48 128 320 768 1792 4096 9216 20480 45056 98304 212992 458752 983040
(if (2 - x) <= 0 then x else (x * 2))
A079243: 0 2 2 3
A254667: 0 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15
loop(\(x,i).(i * x),x,(x * 2))
A052582: 0 2 8 36 192 1200 8640 70560 645120 6531840 72576000 878169600 11496038400 161902540800 2440992153600 39230231040000
((if x <= 0 then 1 else x) + (x div 2))
A049624: 1 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22
loop(\(x,i).(i * x),x,(x div 2))
A052657: 0 0 2 6 48 240 2160 15120 161280 1451520 18144000 199584000 2874009600 37362124800 610248038400 9153720576000
((if x <= 0 then 0 else 2) - (x mod 2))
A329129-A134451: 0 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1
((if x <= 0 then 1 else x) + (x mod 2))
A131055: 1 2 2 4 4 6 6 8 8 10 10 12 12 14 14 16
loop(\(x,i).(i * x),x,(x mod 2))
A005212: 0 1 0 6 0 120 0 5040 0 362880 0 39916800 0 6227020800 0 1307674368000
loop(\(x,i).((2 + 1) * x),x,2)
A008776: 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814
loop(\(x,i).((x div 2) + x),x,2)
A061418: 2 3 4 6 9 13 19 28 42 63 94 141 211 316 474 711
(if x <= 0 then 1 else ((x * x) + 2))
A083462: 1 3 6 11
A010000: 1 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227
loop(\(x,i).((x * x) * x),x,2)
A023365: 2 8 512 134217728 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) + x),x,2)
A201363: 2 3 7
A153056: 2 3 7 16 32 57 93 142 206 287 387 508 652 821 1017 1242
loop(\(x,i).((i * i) * x),x,2)
A048617: 2 2 8 72 1152 28800 1036800 50803200 3251404800 263363788800 26336378880000 3186701844480000 458885065605120000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) - i),x,2)
A201363: 2 3 7
A198959: 2 3 7 46 2112 4460539 19896408170515 4611686018427387903 4611686018427387903
(if (x mod (2 + 1)) <= 0 then 0 else x)
A091684: 0 1 2 0 4 5 0 7 8 0 10 11 0 13 14 0
(if (x mod (2 + 2)) <= 0 then 0 else x)
A190621: 0 1 2 3 0 5 6 7 0 9 10 11 0 13 14 15
((if (x mod 2) <= 0 then 2 else 0) + x)
A137805-A103889: 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15
(if (x mod 2) <= 0 then x else (0 - x))
A038608: 0 ~1 2 ~3 4 ~5 6 ~7 8 ~9 10 ~11 12 ~13 14 ~15
(1 div (if (x mod 2) <= 0 then 1 else x))
A335909-A266591: 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0
loop(\(x,i).(x * 2),x,(1 - x))
A159964: 1 0 ~4 ~16 ~48 ~128 ~320 ~768 ~1792 ~4096 ~9216 ~20480 ~45056 ~98304 ~212992 ~458752
(if (x mod 2) <= 0 then x else (1 - x))
A137501: 0 0 2 ~2 4 ~4 6 ~6 8 ~8 10 ~10 12 ~12 14 ~14
(loop(\(x,i).(x * 2),x,1) + x)
A083462: 1 3 6 11
A006127: 1 3 6 11 20 37 70 135 264 521 1034 2059 4108 8205 16398 32783
(loop(\(x,i).(x * 2),x,1) - x)
A000325: 1 1 2 5 12 27 58 121 248 503 1014 2037 4084 8179 16370 32753
((if (x mod 2) <= 0 then x else 1) * x)
A065679: 0 1 4 3 16 5 36 7 64 9 100 11 144 13 196 15
loop(\(x,i).(x * 2),(x - 1),x)
A001787: 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760
(loop(\(x,i).(i * x),x,1) + x)
A005095: 1 2 4 9 28 125 726 5047 40328 362889 3628810 39916811 479001612 6227020813 87178291214 1307674368015
(loop(\(x,i).(i * x),x,1) - x)
A160540: 1 0 0 3
A005096: 1 0 0 3 20 115 714 5033 40312 362871 3628790 39916789 479001588 6227020787 87178291186 1307674367985
((if (x - 2) <= 0 then 1 else 2) + x)
A293754-A242410: 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17
loop(\(x,i).i,(x div (2 + 2)),x)
A276333: 0 1 2 3 1 1 1 1 2 2 2 2 3 3 3 3
loop(\(x,i).(x * x),(2 + 2),x)
A010804: 0 1 65536 43046721 4294967296 152587890625 2821109907456 33232930569601 281474976710656 1853020188851841 10000000000000000 45949729863572161 184884258895036416 665416609183179841 2177953337809371136 4611686018427387903
loop(\(x,i).((x * x) div 2),2,x)
A212892: 0 0 2 8 32 72 162 288 512 800 1250 1800 2592 3528 4802 6272
loop(\(x,i).((x + 2) * x),2,x)
A123865: 0 15 80 255 624 1295 2400 4095 6560 9999 14640 20735 28560 38415 50624 65535
loop(\(x,i).(x * 2),(x - 2),x)
A057711: 0 1 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880
loop(\(x,i).(x * 2),(x div 2),x)
A132344: 0 1 4 6 16 20 48 56 128 144 320 352 768 832 1792 1920
loop(\(x,i).((x * x) * x),2,x)
A001017: 0 1 512 19683 262144 1953125 10077696 40353607 134217728 387420489 1000000000 2357947691 5159780352 10604499373 20661046784 38443359375
(if (x mod 2) <= 0 then (0 - x) else x)
A181983: 0 1 ~2 3 ~4 5 ~6 7 ~8 9 ~10 11 ~12 13 ~14 15
((if (x - 2) <= 0 then 1 else x) + x)
A316571: 1 2 3 6 8 10 12 14 16 18 20 22 24 26 28 30
loop(\(x,i).((x * 2) + 1),x,x)
A087323: 0 3 11 31 79 191 447 1023 2303 5119 11263 24575 53247 114687 245759 524287
loop(\(x,i).((x * 2) - 1),x,x)
A092679: 0 1 5 17
A082753: 0 1 5 17 49 129 321 769 1793 4097 9217 20481 45057 98305 212993
A000337: 0 1 5 17 49 129 321 769 1793 4097 9217 20481 45057 98305 212993 458753
((if (x mod 2) <= 0 then 1 else x) + x)
A043547: 1 2 3 6 5 10 7 14 9 18 11 22 13 26 15 30
((if (x mod 2) <= 0 then 1 else x) * x)
A065599: 0 1 2 9 4 25 6 49 8 81 10 121 12 169 14 225
loop(\(x,i).((x * 2) * 2),x,x)
A018215: 0 4 32 192 1024 5120 24576 114688 524288 2359296 10485760 46137344 201326592 872415232 3758096384 16106127360
loop(\(x,i).(x * x),2,(x * x))
A001016: 0 1 256 6561 65536 390625 1679616 5764801 16777216 43046721 100000000 214358881 429981696 815730721 1475789056 2562890625
loop(\(x,i).(x * 2),x,(x * x))
A007758: 0 2 16 72 256 800 2304 6272 16384 41472 102400 247808 589824 1384448 3211264 7372800
loop(\(x,i).(i * x),x,(x * x))
A002775: 0 1 8 54 384 3000 25920 246960 2580480 29393280 362880000 4829932800 68976230400 1052366515200 17086945075200 294226732800000
loop(\(x,i).((2 + 1) * x),x,x)
A036290: 0 3 18 81 324 1215 4374 15309 52488 177147 590490 1948617 6377292 20726199 66961566 215233605
loop(\(x,i).((i + 1) * x),x,x)
A062119: 0 2 12 72 480 3600 30240 282240 2903040 32659200 399168000 5269017600 74724249600 1133317785600 18307441152000 313841848320000
(loop(\(x,i).(x * 2),x,x) + x)
A069229: 0 3 10 27 68 165 390 903 2056 4617 10250 22539 49164 106509 229390 491535
(loop(\(x,i).(x * 2),x,x) - x)
A066524: 0 1 6 21 60 155 378 889 2040 4599 10230 22517 49140 106483 229362 491505
loop(\(x,i).(x * 2),(x * x),x)
A280211: 0 2 32 1536 262144 167772160 412316860416 3940649673949184 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) + x),x,x)
A260006: 0 3 12 35 90 217 504 1143 2550 5621 12276 26611 57330 122865 262128 557039
loop(\(x,i).((i * i) * x),x,x)
A084915: 0 1 8 108 2304 72000 3110400 177811200 13005619200 1185137049600 131681894400000 17526860144640000 2753310393630720000 4611686018427387903
((x mod ((0 - 2) - 1)) + 1)
A049347-A016202-A016148-A016118-A016100-A016010-A015896-A015776-A015662-A015590-A015488-A015320-A015182-A014978-A011646: 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0 1
((x div ((2 + 2) + 1)) + 1)
A241766-A187183-A133875-A008648: 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4
((x mod ((2 + 2) + 1)) + 1)
A010884: 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1
(((x + 1) div (2 + 1)) + 1)
A194990-A086161: 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6
(((x + 1) mod (2 + 1)) - 1)
A102283: 0 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0
(((2 + 2) * (2 + 1)) + 1)
A010852: 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
(((2 + 2) * (2 + 1)) - 1)
A010850: 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
(((x + 2) * (2 + 1)) + 1)
A112414: 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52
(((x + 2) * (2 + 1)) - 1)
A180486: 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50
(((x * 2) * (2 + 1)) + 1)
A225227: 1 7 13
A016921: 1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91
(((x * 2) mod (2 + 1)) + 1)
A130784: 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1
(((x div 2) div (2 + 1)) + 1)
A290792-A280952-A279757-A279221-A133876-A097992: 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3
(((x div 2) mod (2 + 1)) + 1)
A105899: 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2
(x - ((x div (2 + 1)) - 1))
A248103: 1 2 3 3 4 5 5 6 7 7 8 9 9 10 11 11
(((x * x) * (2 + 1)) + 1)
A056107: 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676
((2 mod ((x div 2) + 1)) + 1)
A290858: 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3
((x div ((x mod 2) + 1)) + 1)
A323462: 1 1 3 2 5 3 7 4 9 5 11 6 13 7 15 8
(((2 + 2) * (x + 1)) + 1)
A004766: 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65
(((2 + 2) * (x + 1)) - 1)
A189787-A004767: 3 7 11 15 19 23 27 31 35 39 43 47 51 55 59 63
(((x + 2) * (x + 1)) - 1)
A088059-A028387: 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271
(((x * 2) * (x + 1)) + 1)
A001844: 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481
(((x * 2) * (x + 1)) - 1)
A142463: ~1 3 11 23 39 59 83 111 143 179 219 263 311 363 419 479
(((x * x) * (x + 1)) + 1)
A318165: 1 3 13
A098547: 1 3 13 37 81 151 253 393 577 811 1101 1453 1873 2367 2941 3601
(((x * x) * (x - 1)) + 1)
A100104: 1 1 5 19 49 101 181 295 449 649 901 1211 1585 2029 2549 3151
(x - (x div ((0 - 2) - 1)))
A004772: 0 2 3 4 6 7 8 10 11 12 14 15 16 18 19 20
(x - ((x div (0 - 2)) - 1))
A225647: 1 3 4 6 7
A329987-A329962-A189935: 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24
(x - (((2 + 1) * 2) + 1))
A023449: ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3 4 5 6 7 8
(x div (((2 + 1) * 2) + 1))
A132270-A111858-A054896: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2
(x mod (((2 + 1) * 2) + 1))
A010876: 0 1 2 3 4 5 6 0 1 2 3 4 5 6 0 1
((x mod ((2 + 1) * 2)) + 1)
A010885: 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4
(((x div (2 + 1)) * 2) + 1)
A130823: 1 1 1 3 3 3 5 5 5 7 7 7 9 9 9 11
(((x div (2 + 1)) mod 2) + 1)
A135265: 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2
(((x mod (2 + 1)) * 2) + 1)
A130793: 1 3 5 1 3 5 1 3 5 1 3 5 1 3 5 1
(((x mod (2 + 1)) div 2) + 1)
A177702: 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1
(((x mod (2 + 1)) mod 2) + 1)
A131534: 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1
((((x + 2) + 1) * 2) + 1)
A020742: 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37
((((x div 2) + 1) div 2) + 1)
A128929: 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5
((((x mod 2) + 1) * 2) + 1)
A010703: 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5
((((x * x) + 1) * 2) + 1)
A093328: 3 5 11 21 35 53 75 101 131 165 203 245 291 341 395 453
((((x * x) + 1) div 2) + 1)
A074150-A061925: 1 2 3 6 9 14 19 26 33 42 51 62 73 86 99 114
(((x div (0 - 2)) mod 2) + 1)
A014695: 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1
((((x + 1) div 2) div 2) + 1)
A144075: 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5
((((x - 1) div 2) div 2) + 1)
A300763-A285881-A110655: 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4
((((2 + 2) * 2) * 2) + 1)
A010856: 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17
((((2 + 2) * 2) * 2) - 1)
A010854: 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
(x - (((2 + 2) * 2) + 1))
A023451: ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3 4 5 6
(x div (((2 + 2) * 2) + 1))
A343609-A325955-A297038-A277162-A230257-A173667-A161315-A161301-A161288-A161263-A161249-A161235-A161111-A161098-A161085-A161072-A161059-A161046-A161034-A160980-A135661-A133144-A111851-A102684-A087472-A061217-A054898-A037816-A027197-A004216: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1
(x mod (((2 + 2) * 2) + 1))
A326746-A309788-A010878: 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6
((x div ((2 + 2) * 2)) + 1)
A279223-A279041-A214081-A133878-A003108: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
((x mod ((2 + 2) * 2)) + 1)
A338496-A101412-A010887: 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8
(((x div (2 + 2)) * 2) + 1)
A129756: 1 1 1 1 3 3 3 3 5 5 5 5 7 7 7 7
((((x + 2) + 2) + 2) + 1)
A020719: 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
((((x * 2) * 2) * 2) + 1)
A017077: 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121
((((x div 2) * 2) * 2) + 1)
A168277: 1 1 5 5 9 9 13 13 17 17 21 21 25 25 29 29
((((x mod 2) + 2) + 2) + 1)
A010717: 5 6 5 6 5 6 5 6 5 6 5 6 5 6 5 6
((((x mod 2) + 2) * 2) + 1)
A010718: 5 7 5 7 5 7 5 7 5 7 5 7 5 7 5 7
((((x mod 2) * 2) * 2) + 1)
A010686: 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5
((x + 1) div ((2 + 2) + 1))
A105513-A104355: 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3
((x + 2) div ((2 + 2) + 1))
A105512: 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3
((x * 2) div ((2 + 2) + 1))
A172476-A172267-A097508-A057354: 0 0 0 1 1 2 2 2 3 3 4 4 4 5 5 6
((x * 2) mod ((2 + 2) + 1))
A257164: 0 2 4 1 3 0 2 4 1 3 0 2 4 1 3 0
((x div 2) div ((2 + 2) + 1))
A338505-A335808-A297039-A226135-A185711-A175424-A175402-A161316-A161302-A161289-A161264-A161250-A161236-A161112-A161099-A161086-A161073-A161060-A161047-A161035-A160981-A138471-A133501-A111853-A081503-A076489-A062329-A059995-A054899-A037817-A037807-A031346-A031286: 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1
((x div 2) mod ((2 + 2) + 1))
A106747: 0 0 1 1 2 2 3 3 4 4 0 0 1 1 2 2
(2 - (x - ((2 + 2) + 1)))
A022963: 7 6 5 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8
(x - (x div ((2 + 2) + 1)))
A303787: 0 1 2 3 4 4 5 6 7 8 8 9 10 11 12 12
((x * x) - ((2 + 2) + 1))
A028875: ~5 ~4 ~1 4 11 20 31 44 59 76 95 116 139 164 191 220
((x * x) div ((2 + 2) + 1))
A118015: 0 0 0 1 3 5 7 9 12 16 20 24 28 33 39 45
((x * x) mod ((2 + 2) + 1))
A070430: 0 1 4 4 1 0 1 4 4 1 0 1 4 4 1 0
(2 mod ((x div (2 + 2)) + 1))
A307987: 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2
(((x * x) + (2 + 2)) + 1)
A117951: 5 6 9 14 21 30 41 54 69 86 105 126 149 174 201 230
(((x * x) * (2 + 2)) + 1)
A053755: 1 5 17 37 65 101 145 197 257 325 401 485 577 677 785 901
(((x * x) * (2 + 2)) - 1)
A000466: ~1 3 15 35 63 99 143 195 255 323 399 483 575 675 783 899
(((x * x) div (2 + 2)) + 1)
A033638: 1 1 2 3 5 7 10 13 17 21 26 31 37 43 50 57
(((x * x) div (2 + 2)) - 1)
A078126: ~1 ~1 0 1 3 5 8 11 15 19 24 29 35 41 48 55
(x - (((x div 2) mod 2) - 1))
A098180: 1 2 2 3 5 6 6 7 9 10 10 11 13 14 14 15
((x div ((x mod 2) + 2)) + 1)
A242112: 1 1 2 2 3 2 4 3 5 4 6 4 7 5 8 6
(x - (((x mod 2) * 2) - 1))
A004442: 1 0 3 2 5 4 7 6 9 8 11 10 13 12 15 14
((x div (2 + 1)) mod (2 + 1))
A163326: 0 0 0 1 1 1 2 2 2 0 0 0 1 1 1 2
(((x * 2) + 1) * (2 + 1))
A016945: 3 9 15 21 27 33 39 45 51 57 63 69 75 81 87 93
(((x * 2) + 1) div (2 + 1))
A004396: 0 1 1 2 3 3 4 5 5 6 7 7 8 9 9 10
(((x div 2) + 1) div (2 + 1))
A163857-A156877-A067100: 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2
(((x mod 2) + 1) * (2 + 1))
A010704: 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6
(((2 + 1) * 2) * (2 + 1))
A010857: 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18
(((x + 1) * 2) * (2 + 1))
A175130: 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96
(((x + 1) div 2) div (2 + 1))
A194699-A179528: 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2
(((2 + 2) * 2) * (2 + 1))
A010863: 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
(x - ((2 + 2) * (2 + 1)))
A023454: ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3
(x div ((2 + 2) * (2 + 1)))
A342696-A297041-A210716-A194698-A161318-A161304-A161291-A161266-A161252-A161238-A161114-A161101-A161088-A161075-A161062-A161049-A161037-A160983-A156878-A064459: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
(x mod ((2 + 2) * (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A010881: 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3
(((x + 2) * 2) div (2 + 1))
A038372: 1 2 2 3 4 4 5 6 6 7 8 8 9 10 10 11
(((x * 2) * 2) * (2 + 1))
A008594: 0 12 24 36 48 60 72 84 96 108 120 132 144 156 168 180
(((x div 2) * 2) div (2 + 1))
A098428-A098424: 0 0 0 0 1 1 2 2 2 2 3 3 4 4 4 4
(((x div 2) mod 2) * (2 + 1))
A021307: 0 0 3 3 0 0 3 3 0 0 3 3 0 0 3 3
(((x mod 2) + 2) * (2 + 1))
A010725: 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9
(((x mod 2) * 2) * (2 + 1))
A010677: 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
(x - ((x div 2) div (2 + 1)))
A303788: 0 1 2 3 4 5 5 6 7 8 9 10 10 11 12 13
(((x * x) + 2) div (2 + 1))
A008810: 0 1 2 3 6 9 12 17 22 27 34 41 48 57 66 75
(((x * x) * 2) * (2 + 1))
A033581: 0 6 24 54 96 150 216 294 384 486 600 726 864 1014 1176 1350
(((x * x) div 2) * (2 + 1))
A319127: 0 0 6 12 24 36 54 72 96 120 150 180 216 252 294 336
(((x * x) div 2) div (2 + 1))
A056827: 0 0 0 1 2 4 6 8 10 13 16 20 24 28 32 37
(((2 + 1) * x) * (2 + 1))
A008591: 0 9 18 27 36 45 54 63 72 81 90 99 108 117 126 135
(x - ((1 - x) div (2 + 1)))
A042965: 0 1 3 4 5 7 8 9 11 12 13 15 16 17 19 20
(((x + 1) * x) + (2 + 1))
A027688: 3 5 9 15 23 33 45 59 75 93 113 135 159 185 213 243
(((x + 1) * x) * (2 + 1))
A028896: 0 6 18 36 60 90 126 168 216 270 330 396 468 546 630 720
(((x - 1) * x) div (2 + 1))
A128422: 0 0 0 2 4 6 10 14 18 24 30 36 44 52 60 70
(((x + 2) * x) + (2 + 1))
A183199: 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258
(((x + 2) * x) * (2 + 1))
A097658-A067725: 0 9 24 45 72 105 144 189 240 297 360 429 504 585 672 765
(((x + 2) * x) div (2 + 1))
A192225: 0 1 2 5
A032765: 0 1 2 5 8 11 16 21 26 33 40 47 56 65 74 85
(((x mod 2) + x) * (2 + 1))
A168328: 0 6 6 12 12 18 18 24 24 30 30 36 36 42 42 48
((x * 2) - (x div (2 + 1)))
A047212: 0 2 4 5 7 9 10 12 14 15 17 19 20 22 24 25
((x div 2) - (x div (2 + 1)))
A008615: 0 0 1 0 1 1 1 1 2 1 2 2 2 2 3 2
((2 + 2) - (x mod (2 + 1)))
A244951: 4 3 2 4 3
((x * 2) - (x mod (2 + 1)))
A047240: 0 1 2 6 7 8 12 13 14 18 19 20 24 25 26 30
(((x * x) * x) + (2 + 1))
A084378: 3 4 11 30 67 128 219 346 515 732 1003 1334 1731 2200 2747 3378
(((x * x) * x) * (2 + 1))
A117642: 0 3 24 81 192 375 648 1029 1536 2187 3000 3993 5184 6591 8232 10125
(((x * x) * x) div (2 + 1))
A131476: 0 0 2 9 21 41 72 114 170 243 333 443 576 732 914 1125
((((x + 1) * x) div 2) + 1)
A025739-A025732-A025725-A000124: 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121
((((x - 1) * x) div 2) + 1)
A152947: 1 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106
((((x div 2) + x) * 2) + 1)
A086515-A047241: 1 3 7 9 13 15 19 21 25 27 31 33 37 39 43 45
((((x div 2) + x) div 2) + 1)
A069210-A037915: 1 1 2 3 4 4 5 6 7 7 8 9 10 10 11 12
((((x div 2) * x) div 2) + 1)
A000403: 1 1 2 2 5 6
((((x div 2) * x) mod 2) + 1)
A327936-A276329-A177704-A129252-A081117-A022929: 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2
((((x mod 2) + x) * 2) + 1)
A163980: 1 5 5 9 9 13 13 17 17 21 21 25 25 29 29 33
((((x mod 2) * x) div 2) + 1)
A162520-A152271-A007879: 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8
(((x mod 2) * (x + 2)) + 1)
A210491: 1 4 1 6
(((x div 2) + (x * 2)) + 1)
A047219: 1 3 6 8 11 13 16 18 21 23 26 28 31 33 36 38
(((x mod 2) + (x * 2)) + 1)
A338062: 1 4 5 8 9 12 13 16 17 20 21 24 25 28 29 32
((x * x) mod ((x * 2) + 1))
A225126: 0 1 4 2 7 3 10 4 13 5 16 6 19 7 22 8
(0 - (1 div ((x * 2) - 1)))
A279485-A240356-A240354-A240352-A240350-A240349-A240348-A240331-A240330-A240329-A240328-A154955-A016422-A016411-A016399-A016383-A014040-A014038-A014032-A014028-A014026: 1 ~1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(((x * x) * (x * 2)) + 1)
A033562: 1 3 17 55 129 251 433 687 1025 1459 2001 2663 3457 4395 5489 6751
((0 - 2) mod ((x div 2) + 1))
A244325: 0 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6
(2 - (2 div ((x div 2) + 1)))
A111893: 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2
((x * x) div ((x div 2) + 1))
A233524: 0 1 2 4 5 8
(((x * x) + (x div 2)) + 1)
A317186: 1 2 6 11 19 28 40 53 69 86 106 127 151 176 204 233
(((x * 2) - (x mod 2)) + 1)
A042963: 1 2 5 6 9 10 13 14 17 18 21 22 25 26 29 30
(((x div 2) - (x mod 2)) + 1)
A028242: 1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7
((((1 - x) * x) div 2) + 1)
A080956: 1 1 0 ~2 ~5 ~9 ~14 ~20 ~27 ~35 ~44 ~54 ~65 ~77 ~90 ~104
((x div ((x * x) - 2)) + 1)
A194337: 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1
(x - (((x * x) * 2) - 1))
A110325: 1 0 ~5 ~14 ~27 ~44 ~65 ~90 ~119 ~152 ~189 ~230 ~275 ~324 ~377 ~434
((((x * x) * x) div 2) + 1)
A274324: 1 1 5 14 33 63 109 172 257 365 501 666 865 1099 1373 1688
((((2 + 2) + 1) * x) + 1)
A145287-A016861: 1 6 11 16 21 26 31 36 41 46 51 56 61 66 71 76
(((x div (2 + 1)) + x) + 1)
A337037-A329974-A285465-A276078-A195291-A193303-A187386-A164087-A109237-A059557-A059531-A048103-A042968-A039053: 1 2 3 5 6 7 9 10 11 13 14 15 17 18 19 21
((((x + 2) + 1) * x) - 1)
A014209: ~1 3 9 17 27 39 53 69 87 107 129 153 179 207 237 269
((((x * 2) + 1) * x) + 1)
A084849: 1 4 11 22 37 56 79 106 137 172 211 254 301 352 407 466
((((x * 2) - 1) * x) + 1)
A130883: 1 2 7 16 29 46 67 92 121 154 191 232 277 326 379 436
((((x mod 2) + 1) * x) + 1)
A114753: 1 3 3 7 5 11 7 15 9 19 11 23 13 27 15 31
(((2 mod (x + 1)) * x) + 1)
A267872: 1 1 5 7 9 11 13 15 17 19 21 23 25 27 29 31
((((x * x) + 1) * x) + 1)
A071568: 1 3 11 31 69 131 223 351 521 739 1011 1343 1741 2211 2759 3391
((((x * x) - 1) * x) + 1)
A061600: 1 1 7 25 61 121 211 337 505 721 991 1321 1717 2185 2731 3361
((((x + 1) div 2) * x) + 1)
A075855: 1 2 3 7 9 16 19 29 33
((((2 + 2) * 2) + x) + 1)
A020723-A004498: 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
((((2 + 2) * 2) - x) + 1)
A022965: 9 8 7 6 5 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5 ~6
(((x div (2 + 2)) + x) + 1)
A330002-A261189-A225859-A225496-A190241-A120518-A115180-A101888-A047201-A039116-A023721-A020655-A001961: 1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 19
((((x + 2) + 2) * x) + 1)
A028872: 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286
((((x div 2) mod 2) + x) + 1)
A341744: 1 2 4 5 5 6 8 9 9 10 12 13 13 14 16 17
(((2 - (x mod 2)) * x) + 1)
A114752: 1 2 5 4 9 6 13 8 17 10 21 12 25 14 29 16
((((x * x) + 2) * x) + 1)
A135859: 1 4 13 34 73 136 229 358 529 748 1021 1354 1753 2224 2773 3406
((((x * x) - 2) * x) + 1)
A033445: 1 0 5 22 57 116 205 330 497 712 981 1310 1705 2172 2717 3346
(((2 + 2) + 1) * (x + 1))
A330003-A140233: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80
(((2 + 2) + 1) div (x + 1))
A033325: 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0
(((x div 2) + 1) * (x + 1))
A093005: 1 2 6 8 15 18 28 32 45 50 66 72 91 98 120 128
(((x * x) + 1) * (x + 1))
A053698: 1 4 15 40 85 156 259 400 585 820 1111 1464 1885 2380 2955 3616
(((2 + 1) * 2) div (x + 1))
A033326: 6 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0
(((2 + 2) * 2) div (x + 1))
A033328: 8 4 2 2 1 1 1 1 0 0 0 0 0 0 0 0
(((x * 2) * 2) * (x + 1))
A033996: 0 8 24 48 80 120 168 224 288 360 440 528 624 728 840 960
(((x mod 2) + 2) * (x + 1))
A106832: 2 6 6 12 10 18 14 24 18 30 22 36 26 42 30 48
(((x mod 2) + 2) mod (x + 1))
A158478: 0 1 2 3 2 3 2 3 2 3 2 3 2 3 2 3
((2 - (x mod 2)) * (x + 1))
A204904: 2 2 6 4 10 6 14 8 18 10 22 12 26 14 30 16
(((x * x) - 2) * (x + 1))
A214446: ~2 ~2 6 28 70 138 238 376 558 790 1078 1428 1846 2338 2910 3568
(((x * x) * 2) * (x + 1))
A181617: 0 4 24 72 160 300 504 784 1152 1620 2200 2904 3744 4732 5880 7200
(((x * x) * 2) div (x + 1))
A004275: 0 1 2 4 6 8 10 12 14 16 18 20 22 24 26 28
(((x mod 2) + x) * (x + 1))
A238411: 0 4 6 16 20 36 42 64 72 100 110 144 156 196 210 256
(((x * x) + 1) * (x - 1))
A062158: ~1 0 5 20 51 104 185 300 455 656 909 1220 1595 2040 2561 3164
(((x * x) - 1) * (x - 1))
A152618: 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136
(((x - 2) * x) * (x - 1))
A007531: 0 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730
(((x * x) * x) * (x - 1))
A085537: 0 0 8 54 192 500 1080 2058 3584 5832 9000 13310 19008 26364 35672 47250
((0 - x) mod ((x * x) + 1))
A222010: 0 1 3 7
(((x * x) * (x * x)) + 1)
A002523: 1 2 17 82 257 626 1297 2402 4097 6562 10001 14642 20737 28562 38417 50626
(x - ((x div 2) div (0 - 2)))
A047207-A039132: 0 1 3 4 5 6 8 9 10 11 13 14 15 16 18 19
((x * 2) - (x div (0 - 2)))
A047218: 0 3 5 8 10 13 15 18 20 23 25 28 30 33 35 38
((x mod 2) - (x div (0 - 2)))
A030451: 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9
(2 - ((x * x) div (0 - 2)))
A330357: 2 3 4 7 10 15 20 27 34 43 52 63 74 87 100 115
(((x div (2 + 1)) + 1) mod 2)
A088911: 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0
(((x mod (2 + 1)) + 1) mod 2)
A204418: 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1
((((2 + 1) * 2) + 1) * 2)
A010853: 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
((((x + 1) * 2) + 1) * 2)
A073760: 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 66
(x - (((2 + 2) + 1) * 2))
A023452: ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3 4 5
(x mod (((2 + 2) + 1) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A175423-A175422-A175421-A175420-A175419-A079475-A031347-A010879-A007954: 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
((x div ((2 + 2) + 1)) * 2)
A130496: 0 0 0 0 0 2 2 2 2 2 4 4 4 4 4 6
((x div ((2 + 2) + 1)) mod 2)
A102675: 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1
((x mod ((2 + 2) + 1)) mod 2)
A303591-A285686-A145573: 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0
(((x div (2 + 2)) + 1) div 2)
A156685-A095861-A071841-A066339: 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2
(((x div (2 + 2)) + 1) mod 2)
A131078: 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0
(((x mod (2 + 2)) + 1) div 2)
A140081: 0 1 1 2 0 1 1 2 0 1 1 2 0 1 1 2
((((x * 2) * 2) + 1) * 2)
A017089: 2 10 18 26 34 42 50 58 66 74 82 90 98 106 114 122
((((x div 2) * 2) + 1) * 2)
A168276: 2 2 6 6 10 10 14 14 18 18 22 22 26 26 30 30
((((x div 2) mod 2) + 1) * 2)
A165207: 2 2 4 4 2 2 4 4 2 2 4 4 2 2 4 4
((((x mod 2) + 2) + 1) * 2)
A010724: 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 8
((((x mod 2) * 2) + 1) * 2)
A010696: 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6
(((x + 2) div (2 + 1)) * 2)
A302402: 0 2 2 2 4 4 4 6 6 6 8 8 8 10 10 10
(((x * 2) * (2 + 1)) + 2)
A016933: 2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92
(((x div 2) * (2 + 1)) + 2)
A168236: 2 2 5 5 8 8 11 11 14 14 17 17 20 20 23 23
(((x div 2) * (2 + 1)) div 2)
A187321: 0 0 1 1 3 3 4 4 6 6 7 7 9 9 10 10
(((x div 2) mod (2 + 1)) div 2)
A131532: 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0
(((x mod 2) * (2 + 1)) + 2)
A010695: 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5
((x * x) mod ((2 + 1) * 2))
A070511-A070431: 0 1 4 3 4 1 0 1 4 3 4 1 0 1 4 3
(2 - ((x div (2 + 1)) mod 2))
A144110: 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1
((x - (x div (2 + 1))) * 2)
A063224: 0 2 4 4 6 8 8 10 12 12 14 16 16 18 20 20
(1 - ((x mod (2 + 1)) div 2))
A198890: 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1
(((x * x) + (2 + 1)) * 2)
A255844: 6 8 14 24 38 56 78 104 134 168 206 248 294 344 398 456
(((x * x) * (2 + 1)) + 2)
A120328: 2 5 14 29 50 77 110 149 194 245 302 365 434 509 590 677
(((x * x) * (2 + 1)) div 2)
A032528: 0 1 6 13 24 37 54 73 96 121 150 181 216 253 294 337
((1 div ((x * 2) - 1)) + 2)
A104435: 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2
((2 mod ((x div 2) + 1)) + 2)
A335855: 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4
((x mod ((x div 2) + 1)) div 2)
A072750: 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3
((x mod ((x div 2) + 1)) mod 2)
A327219: 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1
(x - (((x div 2) - 1) div 2))
A105235-A066530: 1 2 2 3 4 5 5 6 7 8 8 9 10 11 11 12
(((2 - (x mod 2)) + 1) * 2)
A226294: 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 4
(x mod (((x mod 2) + 1) * 2))
A109718: 0 1 0 3 0 1 0 3 0 1 0 3 0 1 0 3
((((x * x) div 2) + 1) * 2)
A248800: 2 2 6 10 18 26 38 50 66 82 102 122 146 170 198 226
((((x - 1) * x) + 1) * 2)
A051890: 2 2 6 14 26 42 62 86 114 146 182 222 266 314 366 422
((((x div 2) + x) + 1) * 2)
A328588-A047235: 2 4 8 10 14 16 20 22 26 28 32 34 38 40 44 46
((((x div 2) + x) + 1) div 2)
A249243: 0 1 2 2 3 4 5 5 6 7 8 8 9 10 11 11
((((x div 2) * x) + 1) div 2)
A211521: 0 0 1 2 4 5 9 11 16 18 25 28 36 39 49 53
(((2 + 1) div (x + 1)) + 2)
A094284: 5 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2
(((2 + 2) div (x + 1)) + 2)
A343461: 6 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2
(((x + 2) * (x + 1)) div 2)
A176659-A025747-A025738: 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136
(((x div 2) * (x + 1)) mod 2)
A285495: 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0
(((x * x) * (x + 1)) div 2)
A002411: 0 1 6 18 40 75 126 196 288 405 550 726 936 1183 1470 1800
((x * x) - ((x - 1) div 2))
A267682: 1 1 4 8 15 23 34 46 61 77 96 116 139 163 190 218
((((x * x) * x) + 1) div 2)
A036486: 0 1 4 14 32 63 108 172 256 365 500 666 864 1099 1372 1688
(1 - (x div ((0 - 2) - 2)))
A075245: 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5
(x - (x div ((0 - 2) - 2)))
A047203: 0 2 3 4 5 7 8 9 10 12 13 14 15 17 18 19
((x - (x div (0 - 2))) * 2)
A047233: 0 4 6 10 12 16 18 22 24 28 30 34 36 40 42 46
((((2 + 2) + 1) * 2) * 2)
A081245-A010859: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
((((x * 2) + 1) * 2) * 2)
A017113: 4 12 20 28 36 44 52 60 68 76 84 92 100 108 116 124
((((x mod 2) + 1) * 2) * 2)
A105398-A010713: 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8
((((x + 1) div 2) div 2) + 2)
A050500: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6
((((x + 1) div 2) div 2) div 2)
A161313-A161299-A161286-A161261-A161247-A161233-A161083-A161057-A161032-A160978-A104407-A027196-A013941: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2
((((x + 1) div 2) div 2) mod 2)
A072626: 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0
((((2 + 2) * 2) * 2) * 2)
A010871: 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32
(x - (((2 + 2) * 2) * 2))
A023458: ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1
((x div ((2 + 2) * 2)) + 2)
A082896-A079416: 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
((((x * 2) * 2) * 2) * 2)
A217558-A008598: 0 16 32 48 64 80 96 112 128 144 160 176 192 208 224 240
((((x mod 2) + 2) + 2) + 2)
A010723: 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7
((((x mod 2) + 2) + 2) * 2)
A010733: 8 10 8 10 8 10 8 10 8 10 8 10 8 10 8 10
((((x mod 2) * 2) * 2) * 2)
A010679: 0 8 0 8 0 8 0 8 0 8 0 8 0 8 0 8
(2 - (x - ((2 + 2) * 2)))
A022966: 10 9 8 7 6 5 4 3 2 1 0 ~1 ~2 ~3 ~4 ~5
(x - (x div ((2 + 2) * 2)))
A245336: 0 1 2 3 4 5 6 7 7 8 9 10 11 12 13 14
((x * x) mod ((2 + 2) * 2))
A070432: 0 1 4 1 0 1 4 1 0 1 4 1 0 1 4 1
(x - ((x div (2 + 2)) * 2))
A083219: 0 1 2 3 2 3 4 5 4 5 6 7 6 7 8 9
((x - (x div (2 + 2))) mod 2)
A341389-A188027-A165211-A089809: 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0
((2 - (x mod (2 + 2))) div 2)
A102560: 1 0 0 ~1 1 0 0 ~1 1 0 0 ~1 1 0 0 ~1
(((x * x) + (2 + 2)) + 2)
A114949: 6 7 10 15 22 31 42 55 70 87 106 127 150 175 202 231
(((x * x) + (2 + 2)) * 2)
A155966: 8 10 16 26 40 58 80 106 136 170 208 250 296 346 400 458
(((x * x) * (2 + 2)) * 2)
A139098: 0 8 32 72 128 200 288 392 512 648 800 968 1152 1352 1568 1800
(x div (((x div 2) + 2) + 2))
A297036-A161109-A161096-A161070-A161044-A111892-A033110-A023972: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1
(1 - (((x div 2) mod 2) * 2))
A057077: 1 1 ~1 ~1 1 1 ~1 ~1 1 1 ~1 ~1 1 1 ~1 ~1
((x - ((x div 2) mod 2)) div 2)
A004524: 0 0 0 1 2 2 2 3 4 4 4 5 6 6 6 7
((x mod ((x mod 2) + 2)) div 2)
A341618-A337690-A336835-A302110-A294936-A286925-A210455-A179527-A172051-A122841-A097796-A093958-A083206-A080225-A044936: 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
((x mod ((x mod 2) + 2)) mod 2)
A300477-A124300-A047764: 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0
(((2 - x) div 2) mod (2 + 2))
A160540: 1 0 0 3
(((x + 1) * x) + (2 + 2))
A027689: 4 6 10 16 24 34 46 60 76 94 114 136 160 186 214 244
(((x + 1) * x) div (2 + 2))
A194170-A194166: 0 0 1 3 5 7 10 14 18 22 27 33 39 45 52 60
(((x - 1) * x) div (2 + 2))
A011848: 0 0 0 1 3 5 7 10 14 18 22 27 33 39 45 52
(x - ((2 - x) div (2 + 2)))
A138083: 0 1 2 4 5 6
A039139-A032769: 0 1 2 4 5 6 7 9 10 11 12 14 15 16 17 19
(((x + 2) * x) * (2 + 2))
A134582: 0 12 32 60 96 140 192 252 320 396 480 572 672 780 896 1020
(((x + 2) * x) div (2 + 2))
A198442: 0 0 2 3 6 8 12 15 20 24 30 35 42 48 56 63
(((x div 2) + x) + (2 + 2))
A146968: 4 5 7
(((x div 2) + x) div (2 + 2))
A060144-A057364-A057360: 0 0 0 1 1 1 2 2 3 3 3 4 4 4 5 5
(((x mod 2) + x) * (2 + 2))
A168397: 0 8 8 16 16 24 24 32 32 40 40 48 48 56 56 64
((x * 2) - (x div (2 + 2)))
A047293: 0 2 4 6 7 9 11 13 14 16 18 20 21 23 25 27
((x * 2) - (x mod (2 + 2)))
A047476-A037462: 0 1 2 3 8 9 10 11 16 17 18 19 24 25 26 27
(((x * x) * x) + (2 + 2))
A274077: 4 5 12 31 68 129 220 347 516 733 1004 1335 1732 2201 2748 3379
(((x * x) * x) * (2 + 2))
A033430: 0 4 32 108 256 500 864 1372 2048 2916 4000 5324 6912 8788 10976 13500
((((2 + 1) * x) + 2) * 2)
A016957: 4 10 16 22 28 34 40 46 52 58 64 70 76 82 88 94
((((x + 1) * x) + 2) * 2)
A271649: 4 8 16 28 44 64 88 116 148 184 224 268 316 368 424 484
((((x - 1) * x) div 2) + 2)
A152948: 2 2 3 5 8 12 17 23 30 38 47 57 68 80 93 107
((((x + 2) * x) div 2) * 2)
A120413: 0 2 8 14 24 34 48 62 80 98 120 142 168 194 224 254
(((2 + 2) div (x + 2)) mod 2)
A171386-A093313: 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
(((x + 2) * (x + 2)) + 2)
A102305: 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258 291
(((2 - x) div (x + 2)) mod 2)
A179184: 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1
(((x div 2) + (x * 2)) + 2)
A329991-A329846-A225000-A067839-A047211: 2 4 7 9 12 14 17 19 22 24 27 29 32 34 37 39
(((x div 2) + (x * 2)) * 2)
A146763: 0 4 10 14 20 24 30 34 40 44 50 54 60 64 70 74
(((x mod 2) + (x * 2)) * 2)
A047451: 0 6 8 14 16 22 24 30 32 38 40 46 48 54 56 62
((x * 2) - ((x div 2) mod 2))
A047605: 0 2 3 5 8 10 11 13 16 18 19 21 24 26 27 29
(((x * x) + (x div 2)) + 2)
A201363: 2 3 7
(((x * x) + (x div 2)) * 2)
A139592: 0 2 10 20 36 54 78 104 136 170 210 252 300 350 406 464
(((x * x) + (x div 2)) div 2)
A038707: 0 0 2 5 9 13 19 26 34 42 52 63 75 87 101 116
(x div ((2 - (x mod 2)) * 2))
A130722: 0 0 0 1 1 2 1 3 2 4 2 5 3 6 3 7
(x mod ((2 - (x mod 2)) * 2))
A007877: 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1
(((x * 2) - (x mod 2)) + 2)
A338064-A042964: 2 3 6 7 10 11 14 15 18 19 22 23 26 27 30 31
(((x * 2) - (x mod 2)) * 2)
A126002-A079599-A047467: 0 2 8 10 16 18 24 26 32 34 40 42 48 50 56 58
((x div 2) mod ((x mod 2) + 2))
A269518: 0 0 1 1 0 2 1 0 0 1 1 2 0 0 1 1
((1 - x) - ((x mod 2) * 2))
A114285: 1 ~2 ~1 ~4 ~3 ~6 ~5 ~8 ~7 ~10 ~9 ~12 ~11 ~14 ~13 ~16
((((2 + 2) + 1) * x) + 2)
A016873: 2 7 12 17 22 27 32 37 42 47 52 57 62 67 72 77
((((2 + 2) + 1) * x) * 2)
A008592: 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150
(((x div (2 + 1)) + x) + 2)
A230319: 2 3 4 6 7 8 10 11 12 14 15 16 18 19 20 22
(((x div (2 + 1)) + x) * 2)
A047464: 0 2 4 8 10 12 16 18 20 24 26 28 32 34 36 40
((((x + 2) + 1) * x) * 2)
A158865: 0 8 20 36 56 80 108 140
A139570: 0 8 20 36 56 80 108 140 176 216 260 308 360 416 476 540
((((x + 2) + 1) * x) div 2)
A272370-A132337-A132336-A079509-A000096: 0 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135
((((x * 2) + 1) * x) + 2)
A096376: 2 5 12 23 38 57 80 107 138 173 212 255 302 353 408 467
((((x * 2) + 1) * x) * 2)
A002943: 0 6 20 42 72 110 156 210 272 342 420 506 600 702 812 930
((((x * 2) - 1) * x) * 2)
A002939: 0 2 12 30 56 90 132 182 240 306 380 462 552 650 756 870
((((x * x) + 1) * x) div 2)
A006003: 0 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695
((((x * x) - 1) * x) div 2)
A135503: 0 0 3 12 30 60 105 168 252 360 495 660 858 1092 1365 1680
((((2 + 2) * 2) + x) + 2)
A328075-A308407-A102494-A088475-A001637: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
(((x div (2 + 2)) + x) div 2)
A136409-A057361: 0 0 1 1 2 3 3 4 5 5 6 6 7 8 8 9
((((x div 2) mod 2) + x) div 2)
A194169-A194165: 0 0 1 2 2 2 3 4 4 4 5 6 6 6 7 8
(x - (((x mod 2) - x) * 2))
A047225: 0 1 6 7 12 13 18 19 24 25 30 31 36 37 42 43
(((x div 2) + 1) * (x + 2))
A093353: 2 3 8 10 18 21 32 36 50 55 72 78 98 105 128 136
(2 - ((2 + 2) div (x + 2)))
A211670-A046698: 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2
(((x * 2) * 2) div (x + 2))
A235224-A186313-A092139-A084558: 0 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3
(((2 + 1) * x) div (x + 2))
A258198: 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2
(((x + 2) * x) * (x + 2))
A152619: 0 9 32 75 144 245 384 567 800 1089 1440 1859 2352 2925 3584 4335
((x div (2 + 1)) + (x * 2))
A047349: 0 2 4 7 9 11 14 16 18 21 23 25 28 30 32 35
(x - (2 mod (1 - (x * 2))))
A214813: 0 1 3 6 9 12 15 18 21
(((x div 2) mod 2) + (x * 2))
A047481: 0 2 5 7 8 10 13 15 16 18 21 23 24 26 29 31
(x - ((2 - x) * (x * 2)))
A014107: 0 ~1 2 9 20 35 54 77 104 135 170 209 252 299 350 405
(((x div 2) + x) + (x * 2))
A047355: 0 3 7 10 14 17 21 24 28 31 35 38 42 45 49 52
(((x * x) * x) * (x * 2))
A244730: 0 2 32 162 512 1250 2592 4802 8192 13122 20000 29282 41472 57122 76832 101250
(((x div 2) + 1) * (x div 2))
A110660: 0 0 2 2 6 6 12 12 20 20 30 30 42 42 56 56
(((x mod 2) + 1) * (x div 2))
A029578: 0 0 1 2 2 4 3 6 4 8 5 10 6 12 7 14
(((x * 2) * 2) - (x div 2))
A047345: 0 4 7 11 14 18 21 25 28 32 35 39 42 46 49 53
(((x * x) div 2) * (x div 2))
A131475: 0 0 2 4 16 24 54 72 128 160 250 300 432 504 686 784
(x - ((1 - x) * (x div 2)))
A031878: 0 1 3 5 10 13 21 25 36 41 55 61 78 85 105 113
(((x + 2) * x) - (x div 2))
A156859: 0 3 7 14 22 33 45 60 76 95 115 138 162 189 217 248
(((x div 2) * x) * (x div 2))
A122656: 0 0 2 3 16 20 54 63 128 144 250 275 432 468 686 735
(((x mod 2) * x) - (x div 2))
A001057: 0 1 ~1 2 ~2 3 ~3 4 ~4 5 ~5 6 ~6 7 ~7 8
(((2 + 2) + 1) * (x mod 2))
A010676: 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5
((x mod (2 + 1)) + (x mod 2))
A110269: 0 2 2 1 1 3 0 2 2 1 1 3 0 2 2 1
(((2 + 2) * 2) + (x mod 2))
A010732: 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9
((x div (2 + 2)) + (x mod 2))
A026922: 0 1 0 1 1 2 1 2 2 3 2 3 3 4 3 4
(((x * 2) * 2) + (x mod 2))
A047615: 0 5 8 13 16 21 24 29 32 37 40 45 48 53 56 61
(((x * 2) * 2) - (x mod 2))
A047470: 0 3 8 11 16 19 24 27 32 35 40 43 48 51 56 59
(((x div 2) mod 2) - (x mod 2))
A291197: 0 ~1 1 0 0 ~1 1 0 0 ~1 1 0 0 ~1 1 0
((x + 2) div (2 - (x mod 2)))
A145051: 1 3 2 5 3 7 4 9 5 11 6 13 7 15 8 17
((x * x) div (2 - (x mod 2)))
A129194: 0 1 2 9 8 25 18 49 32 81 50 121 72 169 98 225
(((x * x) * 2) - (x mod 2))
A077221: 0 1 8 17 32 49 72 97 128 161 200 241 288 337 392 449
(((x - 2) * x) + (x mod 2))
A137932: 0 0 0 4 8 16 24 36 48 64 80 100 120 144 168 196
(1 - (x div ((x * x) - 2)))
A171905: 1 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1
(2 - (x div ((x * x) - 2)))
A194298: 2 3 1 2 2 2 2 2 2 2 2 2 2 2 2 2
((((2 + 1) * 2) + 1) * x)
A008589: 0 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105
((((x + 1) * 2) + 1) * x)
A014106: 0 5 14 27 44 65 90 119 152 189 230 275 324 377 434 495
((((x + 1) div 2) + 1) * x)
A092530: 0 2 4 9 12 20 24 35 40 54 60 77 84 104 112 135
((x div ((2 + 2) + 1)) + x)
A191610-A047226-A039259-A037465: 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18
((((x + 2) + 2) + 1) * x)
A028557: 0 6 14 24 36 50 66 84 104 126 150 176 204 234 266 300
((((x + 2) * 2) + 1) * x)
A033537: 0 7 18 33 52 75 102 133 168 207 250 297 348 403 462 525
((((x * 2) * 2) + 1) * x)
A007742: 0 5 18 39 68 105 150 203 264 333 410 495 588 689 798 915
((((x * 2) * 2) - 1) * x)
A033991: 0 3 14 33 60 95 138 189 248 315 390 473 564 663 770 885
((((x div 2) mod 2) + 1) * x)
A266491: 0 1 4 6 4 5 12 14 8 9 20 22 12 13 28 30
(((x + 1) mod (2 + 1)) + x)
A080782: 1 3 2 4 6 5 7 9 8 10 12 11 13 15 14 16
(((2 + 2) * (2 + 1)) - x)
A109065: 12 11 10 9 8 7 6 5 4 3 2 1
A022968: 12 11 10 9 8 7 6 5 4 3 2 1 0 ~1 ~2 ~3
(((x * 2) div (2 + 1)) + x)
A244644-A047220: 0 1 3 5 6 8 10 11 13 15 16 18 20 21 23 25
(((x div 2) * (2 + 1)) + x)
A008851: 0 1 5 6 10 11 15 16 20 21 25 26 30 31 35 36
(((x div 2) div (2 + 1)) + x)
A067570: 0 1 2 3 4 5 7
A267304-A047368-A037470-A020657: 0 1 2 3 4 5 7 8 9 10 11 12 14 15 16 17
(((x * x) - (2 + 1)) * x)
A136434: 0 ~2 2 18 52 110 198 322 488 702 970 1298 1692 2158
A121670: 0 ~2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330
(((x * x) * (2 + 1)) + x)
A049451: 0 4 14 30 52 80 114 154 200 252 310 374 444 520 602 690
(((x * x) * (2 + 1)) - x)
A330280: 0 2 10 24
A049450: 0 2 10 24 44 70 102 140 184 234 290 352 420 494 574 660
((((x * x) * 2) + 1) * x)
A061317: 0 3 18 57 132 255 438 693 1032 1467 2010 2673 3468 4407 5502 6765
((((x * x) * 2) - 1) * x)
A007588: 0 1 14 51 124 245 426 679 1016 1449 1990 2651 3444 4381 5474 6735
((((x + 1) * x) + 1) * x)
A027444: 0 3 14 39 84 155 258 399 584 819 1110 1463 1884 2379 2954 3615
((((x + 1) * x) - 1) * x)
A085490: 0 1 10 33 76 145 246 385 568 801 1090 1441 1860 2353 2926 3585
((((x - 1) * x) - 1) * x)
A152015: 0 ~1 2 15 44 95 174 287 440 639 890 1199 1572 2015 2534 3135
(((2 + 2) * (x + 1)) + x)
A016897: 4 9 14 19 24 29 34 39 44 49 54 59 64 69 74 79
(((x div 2) * (x + 1)) + x)
A105638: 0 1 5 7 14 17 27 31 44 49 65 71 90 97 119 127
(((x mod 2) * (x + 1)) + x)
A059029: 0 3 2 7 4 11 6 15 8 19 10 23 12 27 14 31
((((x * x) * x) + 1) * x)
A091940: 0 2 18 84 260 630 1302 2408 4104 6570 10010 14652 20748 28574 38430 50640
((((x * x) * x) - 1) * x)
A058895: 0 0 14 78 252 620 1290 2394 4088 6552 9990 14630 20724 28548 38402 50610
(((x div (2 + 1)) * 2) + x)
A192225: 0 1 2 5
A047217: 0 1 2 5 6 7 10 11 12 15 16 17 20 21 22 25
(((x mod (2 + 1)) div 2) + x)
A130481: 0 1 3 3 4 6 6 7 9 9 10 12 12 13 15 15
(((x div (0 - 2)) mod 2) * x)
A078112: 0 1 2 0 0 5 6 0 0 9 10 0 0 13 14 0
((((2 + 2) * 2) * 2) + x)
A115420-A004457: 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
((((2 + 2) * 2) * 2) - x)
A022972: 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
((x div ((2 + 2) * 2)) + x)
A084689: 0 1 2 3 4 5 6 7 9
A277050-A248375-A052421-A037477-A020661-A013937-A004727: 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16
(((x div (2 + 2)) * 2) + x)
A047246-A039029-A037460: 0 1 2 3 6 7 8 9 12 13 14 15 18 19 20 21
(((x mod (2 + 2)) * 2) - x)
A073791: 0 1 2 3 ~4 ~3 ~2 ~1 ~8 ~7 ~6 ~5 ~12 ~11 ~10 ~9
((((x + 2) + 2) + 2) * x)
A028560: 0 7 16 27 40 55 72 91 112 135 160 187 216 247 280 315
(((x * x) + (2 + 2)) * x)
A155965: 0 5 16 39 80 145 240 371 544 765 1040 1375 1776 2249 2800 3435
(((x * x) div (2 + 2)) + x)
A024206: 0 1 3 5 8 11 15 19 24 29 35 41 48 55 63 71
((2 - ((x div 2) mod 2)) * x)
A079243: 0 2 2 3
A227380: 0 2 2 3 8 10 6 7 16 18 10 11 24 26 14 15
((((2 + 1) * x) + 2) * x)
A045944: 0 5 16 33 56 85 120 161 208 261 320 385 456 533 616 705
((((2 + 1) * x) - 2) * x)
A000567: 0 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645
((x - ((2 - x) div 2)) * x)
A191967: 0 1 4 12 20 35 48 70 88 117 140 176 204 247 280 330
((((x div 2) + x) div 2) + x)
A187330-A047392: 0 1 3 5 7 8 10 12 14 15 17 19 21 22 24 26
((((x div 2) * x) mod 2) + x)
A140201: 0 1 2 4 4 5 6 8 8 9 10 12 12 13 14 16
((((x mod 2) + x) * 2) + x)
A047264: 0 5 6 11 12 17 18 23 24 29 30 35 36 41 42 47
(((x mod 2) * (x + 2)) + x)
A066104: 0 4 2 8 4 12 6 16 8 20 10 24 12 28 14 32
(((x * x) div (x + 2)) + x)
A135251: 0 1 3 4 6 8 10
A058992: 0 1 3 4 6 8 10 12 14 16 18 20 22 24 26 28
(((x div 2) * (x div 2)) + x)
A135276: 0 1 3 4 8 9 15 16 24 25 35 36 48 49 63 64
((x div 2) - ((x mod 2) * x))
A130472: 0 ~1 1 ~2 2 ~3 3 ~4 4 ~5 5 ~6 6 ~7 7 ~8
((((x * x) * x) + 2) * x)
A185065: 0 3 20 87 264 635 1308 2415 4112 6579 10020 14663 20760 28587 38444 50655
((((x * x) * x) - 2) * x)
A246767: 0 ~1 12 75 248 615 1284 2387 4080 6543 9980 14619 20712 28535 38388 50595
((((2 + 2) + 1) * x) * x)
A033429: 0 5 20 45 80 125 180 245 320 405 500 605 720 845 980 1125
((((x * 2) + 1) * x) * x)
A099721: 0 3 20 63 144 275 468 735 1088 1539 2100 2783 3600 4563 5684 6975
((((x * 2) - 1) * x) * x)
A015237: 0 1 12 45 112 225 396 637 960 1377 1900 2541 3312 4225 5292 6525
((((x * x) + 1) * x) * x)
A071253: 0 2 20 90 272 650 1332 2450 4160 6642 10100 14762 20880 28730 38612 50850
((((2 + 2) * 2) + x) * x)
A028566: 0 9 20 33 48 65 84 105 128 153 180 209 240 273 308 345
((((x + 2) * 2) + x) * x)
A140676: 0 7 20 39 64 95 132 175 224 279 340 407 480 559 644 735
(((2 - (x mod 2)) * x) * x)
A181900: 0 1 8 9 32 25 72 49 128 81 200 121 288 169 392 225
((((x * x) - 2) * x) * x)
A178392: 0 ~1 8 63 224 575 1224 2303 3968 6399 9800 14399 20448 28223 38024 50175
((2 mod (x + 1)) + (x * x))
A160842: 0 1 6 11 18 27 38 51 66 83 102 123 146 171 198 227
(((2 + 2) * 2) + (x * x))
A189833: 8 9 12 17 24 33 44 57 72 89 108 129 152 177 204 233
((x div (2 + 2)) + (x * x))
A173562: 0 1 4 9 17 26 37 50 66 83 102 123 147 172 199 228
(((x mod 2) * 2) + (x * x))
A248825: 0 3 4 11 16 27 36 51 64 83 100 123 144 171 196 227
(2 - (1 mod (2 - (x * x))))
A131959: 1 2 3 8
(1 - ((x * x) * (x * x)))
A024002: 1 0 ~15 ~80 ~255 ~624 ~1295 ~2400 ~4095 ~6560 ~9999 ~14640 ~20735 ~28560 ~38415 ~50624
(((x * x) * x) * (x * x))
A000584: 0 1 32 243 1024 3125 7776 16807 32768 59049 100000 161051 248832 371293 537824 759375
(if (x mod 2) <= 0 then (if x <= 0 then 0 else 2) else 0)
A021499: 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0
(if (x - 2) <= 0 then (if x <= 0 then 1 else 2) else 0)
A180215: 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then (if x <= 0 then 1 else x) else 0)
A130779: 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((if x <= 0 then 1 else x) * 2),x,0)
A155559: 0 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
loop(\(x,i).(if x <= 0 then i else (x - 1)),x,1)
A261301: 1 0 2 1 0 5 4 3 2 1 0 11 10 9 8 7
(if (x - 2) <= 0 then (if x <= 0 then 1 else x) else 1)
A329684: 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).((if x <= 0 then i else x) - 1),x,1)
A035327: 1 0 1 0 3 2 1 0 7 6 5 4 3 2 1 0
loop(\(x,i).loop(\(x,i).(i * x),x,2),x,1)
A181179: 1 2 4 48 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),i,x),x,1)
A000178: 1 1 2 12 288 34560 24883200 125411328000 5056584744960000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else 2))
A151821-A046055: 1 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536
loop(\(x,i).(i * x),x,(if x <= 0 then 1 else 2))
A098558: 1 2 4 12 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,2)
A217994: 2 4 16 128 2048 65536 4194304 536870912 137438953472 70368744177664 72057594037927936 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else x))
A134401: 1 2 8 24 64 160 384 896 2048 4608 10240 22528 49152 106496 229376 491520
loop(\(x,i).(i * x),x,(if x <= 0 then 1 else x))
A094258: 1 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 19615115520000
loop(\(x,i).((if x <= 0 then i else 2) - x),x,x)
A188652: 0 1 2 ~1 6 ~5 12 ~11 20 ~19 30 ~29 42 ~41 56 ~55
(if (x mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A079998-A014184: 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
(if ((2 + 2) mod (x + 1)) <= 0 then 1 else 0)
A329670-A067109: 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - ((2 + 1) * 2)) <= 0 then 1 else 0)
A014590-A014562-A014520-A014506-A014478-A014436-A014422-A014380-A014338-A014310-A014296-A014268-A014226-A014212-A014170-A014142-A014128: 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
(if (x mod ((2 + 1) * 2)) <= 0 then 1 else 0)
A319691-A288711-A234954-A079979: 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0
(if (x mod ((2 + 2) * 2)) <= 0 then 1 else 0)
A326499-A320319-A304002-A288324-A280130-A279760-A278929-A270599-A253513-A245039-A244171-A126811-A104124-A052434-A015689-A014057: 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
(if ((x div (2 + 2)) - 2) <= 0 then 1 else 0)
A118626: 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0
(if (((x div 2) - 2) - 2) <= 0 then 1 else 0)
A247889: 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0
(if ((x div 2) mod (2 + 2)) <= 0 then 1 else 0)
A304021-A279329-A279281: 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0
(if (x mod 2) <= 0 then ((2 + 2) + 1) else 0)
A071873: 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0
(if (x mod ((x div 2) + 2)) <= 0 then 1 else 0)
A306862: 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0
(if (x - 1) <= 0 then ((x * 2) + 1) else 0)
A169585: 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x mod 2) <= 0 then ((x div 2) + 1) else 0)
A027656: 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0
(if (2 div ((x * x) - 2)) <= 0 then 1 else 0)
A267936-A266678: 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1
((x * x) - (if (2 - x) <= 0 then 1 else 0))
A132411: 0 1 3 8 15 24 35 48 63 80 99 120 143 168 195 224
(if (((2 - x) + 2) * x) <= 0 then 1 else 0)
A185114: 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).((i * i) + x),(x + 1),0)
A109678: 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496
loop(\(x,i).((i + x) + x),(x - 1),0)
A000295: 0 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752
(if (x - 2) <= 0 then ((x * x) + 1) else 0)
A020821: 1 2 5 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 1) <= 0 then ((x + 1) * 2) else 0)
A266296: 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).i,(((x div 2) - 2) - 2),0)
A211020: 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3
loop(\(x,i).(i + x),(x div (2 + 2)),0)
A268443: 0 0 0 0 1 1 1 1 3 3 3 3 6 6 6 6
loop(\(x,i).((i * i) + x),(x * 2),0)
A258582: 0 5 30 91 204 385 650 1015 1496 2109 2870 3795 4900 6201 7714 9455
loop(\(x,i).((x + 1) * 2),(x div 2),0)
A056453: 0 0 2 2 6 6 14 14 30 30 62 62 126 126 254 254
loop(\(x,i).(((x * 2) * 2) + 1),x,0)
A002450: 0 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941
loop(\(x,i).((x + 1) * (2 + 1)),x,0)
A029858: 0 3 12 39 120 363 1092 3279 9840 29523 88572 265719 797160 2391483 7174452 21523359
(x - loop(\(x,i).((x * 2) - 1),x,0))
A052944: 0 2 5 10 19 36 69 134 263 520 1033 2058 4107 8204 16397 32782
loop(\(x,i).(((i + x) * 2) - 1),x,0)
A050488: 0 1 5 15 37 83 177 367 749 1515 3049 6119 12261 24547 49121 98271
loop(\(x,i).(((i * x) * 2) + 1),x,0)
A056541: 0 1 5 31 249 2491 29893 418503 6696049 120528883 2410577661 53032708543 1272785005033 33092410130859 926587483664053 27797624509921591
loop(\(x,i).(((2 + 1) * x) + 1),x,0)
A003462: 0 1 4 13 40 121 364 1093 3280 9841 29524 88573 265720 797161 2391484 7174453
loop(\(x,i).(((x + 1) * x) + 1),x,0)
A002065: 0 1 3 13 183 33673 1133904603 1285739649838492213 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 1) * x) + 1),x,0)
A056542: 0 1 4 17 86 517 3620 28961 260650 2606501 28671512 344058145 4472755886 62618582405 939278736076 15028459777217
loop(\(x,i).(((x + 2) * x) + 1),x,0)
A004019: 0 1 4 25 676 458329 210066388900 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div 2) + x) + 1),x,0)
A006999: 0 1 2 4 7 11 17 26 40 61 92 139 209 314 472 709
loop(\(x,i).(((i + 2) * x) + 1),x,0)
A185108: 0 1 5 26 157 1100 8801 79210 792101 8713112 104557345 1359245486 19029436805 285441552076 4567064833217 77640102164690
loop(\(x,i).((2 + 2) * (x + 1)),x,0)
A080674: 0 4 20 84 340 1364 5460 21844 87380 349524 1398100 5592404 22369620 89478484 357913940 1431655764
loop(\(x,i).((i + x) + (x + 1)),x,0)
A095151: 0 2 7 18 41 88 183 374 757 1524 3059 6130 12273 24560 49135 98286
loop(\(x,i).((i * i) * (x + 1)),x,0)
A193563: 0 1 8 81 1312 32825 1181736 57905113 3705927296 300180111057 30018011105800 3632179343801921 523033825507476768 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) + (x - 1)),x,0)
A051925: 0 0 3 11 26 50 85 133 196 276 375 495 638 806 1001 1225
loop(\(x,i).(((x * x) * x) + 1),x,0)
A135361: 0 1 2 9 730 389017001 4611686018427387903 4611686018427387903
(1 - loop(\(x,i).((i * x) - 1),x,0))
A213937: 1 2 4 11 42 207 1238 8661 69282 623531 6235302 68588313 823059746 10699776687 149796873606 2246953104077
loop(\(x,i).(((i * i) * x) + 1),x,0)
A066998: 0 1 5 46 737 18426 663337 32503514 2080224897 168498216658 16849821665801 2038828421561922 293591292704916769 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) + (i + 1)),x,0)
A168558: 0 2 7 53 2814 7918602 62704257634411 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) + 1) * 2),x,0)
A084180: 0 2 10 42 170 682 2730 10922 43690 174762 699050 2796202 11184810
A020988: 0 2 10 42 170 682 2730 10922 43690 174762 699050 2796202 11184810 44739242 178956970 715827882
(if (x mod ((2 + 2) * 2)) <= 0 then x else 0)
A127886: 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0
loop(\(x,i).(((2 + 1) * x) + 2),x,0)
A024023: 0 2 8 26 80 242 728 2186 6560 19682 59048 177146 531440 1594322 4782968 14348906
loop(\(x,i).(((x div 2) + x) + 2),x,0)
A134342: 0 2 5 9 15 24 38 59 90 137 207 312 470 707 1062 1595
loop(\(x,i).(((i div 2) + x) * 2),x,0)
A257198: 0 0 2 6 16 36 78 162 332 672 1354 2718 5448 10908 21830 43674
loop(\(x,i).((i + x) + (x + 2)),x,0)
A000247: 0 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053
loop(\(x,i).((i * i) + (x + 2)),x,0)
A145068: 0 3 9 20 38 65 103 154 220 303 405 528 674 845 1043 1270
loop(\(x,i).((i * i) + (x - 2)),x,0)
A145067: 0 ~1 1 8 22 45 79 126 188 267 365 484 626 793 987 1210
(2 - loop(\(x,i).(1 - (x * 2)),x,0))
A140966: 2 1 3 ~1 7 ~9 23 ~41 87 ~169 343 ~681 1367 ~2729 5463 ~10921
loop(\(x,i).((i mod 2) + (x * 2)),x,0)
A192225: 0 1 2 5
A000975: 0 1 2 5 10 21 42 85 170 341 682 1365 2730 5461 10922 21845
loop(\(x,i).((1 - x) - (x * 2)),x,0)
A014983: 0 1 ~2 7 ~20 61 ~182 547 ~1640 4921 ~14762 44287 ~132860 398581 ~1195742 3587227
loop(\(x,i).((i * i) + (x * 2)),x,0)
A047520: 0 1 6 21 58 141 318 685 1434 2949 5998 12117 24378 48925 98046 196317
(1 div (1 - (if (x mod 2) <= 0 then x else 0)))
A165326: 1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1
loop(\(x,i).(((i + x) + x) * 2),x,0)
A145766: 0 2 12 54 224 906 3636 14558 58248 233010 932060 3728262 14913072 59652314 238609284 954437166
loop(\(x,i).(1 - ((i + x) * 2)),x,0)
A140962: 0 ~1 ~1 ~3 ~1 ~7 3 ~19 23 ~63 107 ~235 447 ~919 1811 ~3651
loop(\(x,i).((i * x) + (i mod 2)),x,0)
A186763: 0 1 2 7 28 141 846 5923 47384 426457 4264570 46910271 562923252 7318002277 102452031878 1536780478171
loop(\(x,i).(((x + 2) * 2) + x),x,0)
A100774: 0 4 16 52 160 484 1456 4372 13120 39364 118096 354292 1062880 3188644 9565936 28697812
loop(\(x,i).((x - i) * (i + x)),x,0)
A143779: 0 ~1 ~3 0 ~16 231 53325 2843555576 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i mod 2) - (i * x)),x,0)
A009628: 0 1 ~2 7 ~28 141 ~846 5923 ~47384 426457 ~4264570 46910271 ~562923252 7318002277 ~102452031878 1536780478171
(2 - loop(\(x,i).(i - (i * x)),x,0))
A179508: 2 1 2 ~1 10 ~43 266 ~1853 14834 ~133495 1334962 ~14684569 176214842 ~2290792931 32071101050 ~481066515733
loop(\(x,i).(((i + x) * i) + x),x,0)
A319013: 0 1 7 37 201 1231 8653 69273 623521 6235291 68588301 823059733 10699776673 149796873591 2246953104061 35951249665201
loop(\(x,i).(((x * 2) + 1) * i),x,0)
A067273: 0 1 6 39 316 3165 37986 531811 8508984 153161721 3063234430 67391157471 1617387779316 42052082262229 1177458303342426 35323749100272795
(2 - loop(\(x,i).((x - 1) * i),x,0))
A073591: 2 3 6 17 66 327 1958 13701 109602 986411 9864102 108505113 1302061346 16926797487 236975164806 3554627472077
loop(\(x,i).((i - (x - 1)) * i),x,0)
A054516: 0 2 2 6 ~4 50 ~258 1862 ~14824 133506 ~1334950 14684582 ~176214828 2290792946 ~32071101034 481066515750
loop(\(x,i).(((i + x) - 1) * i),x,0)
A038154: 0 0 2 12 60 320 1950 13692 109592 986400 9864090 108505100 1302061332 16926797472 236975164790 3554627472060
loop(\(x,i).(((i * x) + 1) * i),x,0)
A180255: 0 1 6 57 916 22905 824586 40404721 2585902152 209458074321 20945807432110 2534442699285321 364959748697086236 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * i) + x) * i),x,0)
A337001: 0 1 10 57 292 1585 9726 68425 547912 4931937 49320370 542525401 6510306540 84633987217 1184875823782 17773137360105
(if (x mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A011558: 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0
(if ((x div 2) mod (2 + 1)) <= 0 then 0 else 1)
A131735: 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1
(if (x mod ((2 + 1) * 2)) <= 0 then 0 else 1)
A097325: 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1
((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)
A109007: 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3
(if (x mod ((2 + 2) * 2)) <= 0 then 0 else 1)
A324732-A168181: 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1
(if ((x - 1) mod (2 + 2)) <= 0 then 0 else 1)
A284677: 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1
(if ((x + 2) mod (2 + 2)) <= 0 then 0 else 1)
A152822-A105234: 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1
((if (x mod 2) <= 0 then (2 + 2) else 0) + 1)
A176260: 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1
(x - (if ((x div 2) - 2) <= 0 then 0 else 1))
A029915: 0 1 2 3 4 5 5 6 7 8 9 10 11 12 13 14
((if (x mod 2) <= 0 then (x div 2) else 0) + 1)
A336514-A335497-A322182-A318225-A309872-A158416: 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1
(loop(\(x,i).((2 - x) * 2),x,0) + 1)
A083594: 1 5 ~3 13 ~19 45 ~83 173 ~339 685 ~1363 2733 ~5459 10925 ~21843 43693
((x div (2 + 1)) + (if x <= 0 then 0 else 1))
A261231-A220658: 0 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6
(((x * 2) * 2) - (if x <= 0 then 0 else 1))
A172338: 0 3 7 11 15 19 23 27 31 35 39 43 47 51 55 59
(((x div 2) * 2) + (if x <= 0 then 0 else 1))
A063196: 0 1 3 3 5 5 7 7 9 9 11 11 13 13 15 15
(((x mod 2) * 2) - (if x <= 0 then 0 else 1))
A062157: 0 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1
(((x div 2) + x) + (if x <= 0 then 0 else 1))
A195175: 0 2 4 5 7 8 10 11 13 14 16 17 19 20 22 23
((if (x mod (2 + 1)) <= 0 then 2 else 1) + 1)
A052901: 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3
loop(\(x,i).i,(((x - 1) div 2) - 1),1)
A025160: 1 1 1 1 1 1 1 2 2 3 3 4 4 5 5 6
loop(\(x,i).i,(x - ((2 + 2) + 1)),1)
A049812: 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10
loop(\(x,i).i,(x div ((2 + 2) + 1)),1)
A187188-A120202: 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3
((if ((2 - x) + 2) <= 0 then 2 else 1) + 1)
A165020: 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3
(((if x <= 0 then 0 else 2) * (2 + 1)) + 1)
A255910: 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
((if (x - 1) <= 0 then x else (2 + 1)) + 1)
A151798: 1 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(loop(\(x,i).(x * 2),x,(2 + 1)) + 1)
A181565: 4 7 13 25 49 97 193 385 769 1537 3073 6145 12289 24577 49153 98305
loop(\(x,i).(x * 2),(x div (2 + 1)),1)
A173862: 1 1 1 2 2 2 4 4 4 8 8 8 16 16 16 32
(loop(\(x,i).(x * x),x,(2 + 1)) + 1)
A059919: 4 10 82 6562 43046722 1853020188851842 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,(2 + 1)) + 1)
A173324: 4 4 7 19 73 361 2161 15121 120961 1088641 10886401 119750401 1437004801 18681062401 261534873601 3923023104001
(loop(\(x,i).(i * x),x,(2 + 1)) - 1)
A173323: 2 2 5 17 71 359 2159 15119 120959 1088639 10886399 119750399 1437004799 18681062399 261534873599 3923023103999
((x div (if (2 - x) <= 0 then 2 else 1)) + 1)
A263997-A078452: 1 2 2 2 3 3 4 4 5 5 6 6 7 7 8 8
loop(\(x,i).(x * 2),((x * 2) - 1),1)
A081294: 1 2 8 32 128 512 2048 8192 32768 131072 524288 2097152 8388608 33554432 134217728 536870912
(loop(\(x,i).(i * x),(x * 2),1) + 1)
A127231: 2 3 25 721 40321 3628801 479001601 87178291201 20922789888001 6402373705728001 2432902008176640001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,1) + 1)
A052539: 2 5 17 65 257 1025 4097 16385 65537 262145 1048577 4194305 16777217 67108865 268435457 1073741825
(loop(\(x,i).((x * 2) * 2),x,1) - 1)
A024036: 0 3 15 63 255 1023 4095 16383 65535 262143 1048575 4194303 16777215 67108863 268435455 1073741823
(loop(\(x,i).((x * x) * 2),x,1) + 1)
A332203: 2 3 9 129 32769 2147483649 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * 2),x,1) - 1)
A077585: 0 1 7 127 32767 2147483647 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 1 else x) * (x + 1)) + 1)
A201363: 2 3 7
A003509: 2 3 7 13 21 31
loop(\(x,i).((x * 2) + 1),(x - 1),1)
A255047: 1 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767
loop(\(x,i).((x - 1) * 2),(x - 1),1)
A122958: 1 1 0 ~2 ~6 ~14 ~30 ~62 ~126 ~254 ~510 ~1022 ~2046 ~4094 ~8190 ~16382
loop(\(x,i).((x * 2) * 2),(x - 1),1)
A265032: 1 1 4 16 64
loop(\(x,i).((0 - x) * 2),(x - 1),1)
A123344: 1 1 ~2 4 ~8 16 ~32 64 ~128 256 ~512 1024 ~2048 4096 ~8192 16384
loop(\(x,i).((2 + 1) * x),(x - 1),1)
A133494: 1 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969
loop(\(x,i).((x * x) - i),(x - 1),1)
A086851: 1 1 0 ~2 1 ~3 4 10 93 8641 74666872 5575141774264374 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,1) + 1)
A034472: 2 4 10 28 82 244 730 2188 6562 19684 59050 177148 531442 1594324 4782970 14348908
(loop(\(x,i).((x + 1) * x),x,1) + 1)
A201363: 2 3 7
A000058: 2 3 7 43 1807 3263443 10650056950807 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),x,1) - 1)
A065035: 0 1 5 41 1805 3263441 10650056950805 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),x,1) + 1)
A139149: 2 4 13 61 361 2521 20161 181441 1814401 19958401 239500801 3113510401 43589145601 653837184001 10461394944001 177843714048001
(loop(\(x,i).((i + 2) * x),x,1) - 1)
A139172: 0 2 11 59 359 2519 20159 181439 1814399 19958399 239500799 3113510399 43589145599 653837183999 10461394943999 177843714047999
(loop(\(x,i).(x * 2),(x * x),1) - 1)
A212739: 0 1 15 511 65535 33554431 68719476735 562949953421311 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) + x),x,1) + 1)
A123720: 2 4 9 20 43 90 185 376 759 1526 3061 6132 12275 24562 49137 98288
(loop(\(x,i).((i * i) * x),x,1) + 1)
A020549: 2 2 5 37 577 14401 518401 25401601 1625702401 131681894401 13168189440001 1593350922240001 229442532802560001 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)
A169609: 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1
((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1)
A167817-A153401: 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3
(x - (if (x mod 2) <= 0 then (0 - 2) else 1))
A168232: 2 0 4 2 6 4 8 6 10 8 12 10 14 12 16 14
(x div (if (x mod 2) <= 0 then (0 - 2) else 1))
A176447: 0 1 ~1 3 ~2 5 ~3 7 ~4 9 ~5 11 ~6 13 ~7 15
loop(\(x,i).(i - x),x,((0 - 2) - 1))
A152833: ~3 4 ~2 5 ~1 6 0 7 1 8 2 9 3 10 4 11
((if (x - (2 + 2)) <= 0 then 1 else 2) + 1)
A068549: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3
(if (x mod 2) <= 0 then ((2 + 1) * 2) else 1)
A176355: 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1
(if (2 - x) <= 0 then ((2 + 1) * 2) else 1)
A177057: 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6
loop(\(x,i).i,(x - ((2 + 1) * 2)),1)
A322855-A322803-A322800-A049813-A023358-A005711-A005710: 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9
((x div (if (x - 2) <= 0 then 1 else 2)) + 1)
A137467: 1 2 3 2 3 3 4
((loop(\(x,i).(x * 2),x,1) + 2) + 1)
A146968: 4 5 7
A062709: 4 5 7 11 19 35 67 131 259 515 1027 2051 4099 8195 16387 32771
((loop(\(x,i).(x * 2),x,1) - 2) - 1)
A036563: ~2 ~1 1 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765
((loop(\(x,i).(x * 2),x,1) div 2) + 1)
A094373: 1 2 3 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385
(if x <= 0 then 0 else (((x + 1) * 2) + 1))
A062545: 0 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33
loop(\(x,i).(x * 2),((x + 1) div 2),1)
A163403-A060546: 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256
((x + 2) div ((if x <= 0 then 1 else 2) + 1))
A231153-A020912: 1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5
loop(\(x,i).i,(((x - 1) div 2) - 2),1)
A025162: 1 1 1 1 1 1 1 1 1 2 2 3 3 4 4 5
loop(\(x,i).i,(((x - 1) div 2) div 2),1)
A120194: 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3
((((if x <= 0 then 0 else 2) * 2) * 2) + 1)
A291092-A271880: 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
(if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A160322: 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1
(if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1)
A138191: 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1
(if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1)
A236398: 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1
(if x <= 0 then 0 else (((2 + 2) * 2) + 1))
A180599: 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
(if (2 - x) <= 0 then ((2 + 2) * 2) else 1)
A195139: 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8
loop(\(x,i).i,(x - ((2 + 2) * 2)),1)
A289410-A274842-A273737-A179622-A175740-A171890-A067453: 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7
loop(\(x,i).(x * 2),x,((2 + 2) + 1))
A323831-A020714: 5 10 20 40 80 160 320 640 1280 2560 5120 10240 20480 40960 81920 163840
loop(\(x,i).(x * x),x,((2 + 2) + 1))
A176594: 5 25 625 390625 152587890625 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(2 + 2)) + 1)
A020737: 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385 32769 65537 131073
loop(\(x,i).(x * 2),(x div (2 + 2)),1)
A200675: 1 1 1 1 2 2 2 2 4 4 4 4 8 8 8 8
loop(\(x,i).(i * 2),(x div (2 + 2)),1)
A092533-A092532: 1 1 1 1 2 2 2 2 4 4 4 4 6 6 6 6
loop(\(x,i).(i + x),(x div (2 + 2)),1)
A092508: 1 1 1 1 2 2 2 2 4 4 4 4 7 7 7 7
loop(\(x,i).(i * x),(x div (2 + 2)),1)
A139554: 1 1 1 1 1 1 1 1 2 2 2 2 6 6 6 6
loop(\(x,i).(x * 2),(x mod (2 + 2)),1)
A222011: 1 2 4 8
A133145: 1 2 4 8 1 2 4 8 1 2 4 8 1 2 4 8
(loop(\(x,i).(x * x),x,(2 + 2)) + 1)
A222008: 5 17 257 65537
(loop(\(x,i).(i * x),x,(2 + 2)) + 1)
A173322: 5 5 9 25 97 481 2881 20161 161281 1451521 14515201 159667201 1916006401 24908083201 348713164801 5230697472001
(loop(\(x,i).(i * x),x,(2 + 2)) - 1)
A173321: 3 3 7 23 95 479 2879 20159 161279 1451519 14515199 159667199 1916006399 24908083199 348713164799 5230697471999
(((if x <= 0 then 1 else (x + 2)) * 2) + 1)
A005818: 3 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35
((x + 2) div (if (x - 2) <= 0 then 2 else 1))
A057544: 1 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17
(((if x <= 0 then 1 else (x * 2)) * 2) - 1)
A131098: 1 3 7 11 15 19 23 27 31 35 39 43 47 51 55 59
loop(\(x,i).(i * x),((x * 2) * 2),1)
A100733: 1 24 40320 479001600 20922789888000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(x div 2),2) - 1)
A052551: 1 1 3 3 7 7 15 15 31 31 63 63 127 127 255 255
loop(\(x,i).(i * x),((x div 2) * 2),1)
A248812: 1 1 2 2 24 24 720 720 40320 40320 3628800 3628800 479001600 479001600 87178291200 87178291200
((if x <= 0 then 0 else ((x mod 2) + 2)) + 1)
A103947: 1 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4
((loop(\(x,i).(x * x),x,2) + 2) + 1)
A130729: 5 7 19 259 65539 4294967299 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),x,2) * 2) + 1)
A070969: 5 9 33 513 131073 8589934593 4611686018427387903 4611686018427387903 4611686018427387903
((x - (if x <= 0 then 0 else 1)) div (2 + 1))
A172264-A032615: 0 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4
((if x <= 0 then (2 + 2) else 1) * (2 + 1))
A113923: 12 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
(if x <= 0 then 1 else ((x - 1) div (2 + 1)))
A192262: 1 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4
(((if x <= 0 then 0 else 2) + 2) * (2 + 1))
A040030: 6 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
(loop(\(x,i).(x * 2),x,2) * (2 + 1))
A091629: 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608
(((if x <= 0 then 2 else x) * 2) mod (2 + 1))
A228817: 1 2 1 0 2
loop(\(x,i).(x * 2),(x + 2),(2 + 1))
A081808: 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216
(if (x mod 2) <= 0 then (x * 2) else (2 + 1))
A265723: 0 3 4 3 8 3 12 3 16 3 20 3 24 3 28 3
(if x <= 0 then 1 else ((x * 2) * (2 + 1)))
A008458: 1 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90
((if (x mod 2) <= 0 then 1 else x) mod (2 + 1))
A093718: 1 1 1 0 1 2 1 1 1 0 1 2 1 1 1 0
(1 - (if (x - 1) <= 0 then x else (2 + 1)))
A113679: 1 0 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2 ~2
loop(\(x,i).((x * x) + 1),x,(2 + 1))
A062013: 3 10 101 10202 104080805 10832813969448026 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * 2),x,(2 + 1))
A051633: 3 8 18 38 78 158 318 638 1278 2558 5118 10238 20478 40958 81918 163838
loop(\(x,i).((x * 2) * 2),x,(2 + 1))
A164346: 3 12 48 192 768 3072 12288 49152 196608 786432 3145728 12582912 50331648 201326592 805306368 3221225472
loop(\(x,i).((x * x) - 2),x,(2 + 1))
A001566: 3 7 47 2207 4870847 23725150497407 4611686018427387903 4611686018427387903
A331038: 3 7 47 2207 4870847 23725150497407 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else x) - (x div (2 + 1)))
A020909: 1 1 2 2 3 4 4 5 6 6 7 8 8 9 10 10
loop(\(x,i).((x + 1) * x),x,(2 + 1))
A004168: 3 12 156 24492 599882556 359859081592975692 4611686018427387903 4611686018427387903
loop(\(x,i).((x - 1) * x),x,(2 + 1))
A117805: 3 6 30 870 756030 571580604870 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (x * x)) mod (2 + 1))
A267208: 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0
loop(\(x,i).((x * x) * x),x,(2 + 1))
A055777: 3 27 19683 7625597484987 4611686018427387903
(loop(\(x,i).(i * x),x,x) * (2 + 1))
A052673: 0 3 12 54 288 1800 12960 105840 967680 9797760 108864000 1317254400 17244057600 242853811200 3661488230400 58845346560000
loop(\(x,i).((i * i) + x),x,(2 + 1))
A153057: 3 4 8 17 33 58 94 143 207 288 388 509 653 822 1018 1243
loop(\(x,i).((x - 1) * i),x,(2 + 1))
A117643: 3 2 2 3 8 35 204 1421 11360 102231 1022300 11245289 134943456 1754264915 24559708796 368395631925
(((if (x mod 2) <= 0 then 1 else x) * 2) - 1)
A266072: 1 1 1 5 1 9 1 13 1 17 1 21 1 25 1 29
(loop(\(x,i).((x * x) - 1),x,2) + 1)
A073015: 3 4 9 64 3969 15745024 247905749270529 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) - 1),x,2) - 1)
A100523: 1 2 7 62 3967 15745022 247905749270527 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 2) * 2),x,2) - 1)
A048488: 1 7 19 43 91 187 379 763 1531 3067 6139 12283 24571 49147 98299 196603
(loop(\(x,i).((x * 2) * 2),x,2) + 1)
A087289: 3 9 33 129 513 2049 8193 32769 131073 524289 2097153 8388609 33554433 134217729 536870913 2147483649
(loop(\(x,i).((x * 2) * 2),x,2) - 1)
A083420: 1 7 31 127 511 2047 8191 32767 131071 524287 2097151 8388607 33554431 134217727 536870911 2147483647
(if (2 - x) <= 0 then ((2 - x) div 2) else 1)
A168050: 1 1 0 ~1 ~1 ~2 ~2 ~3 ~3 ~4 ~4 ~5 ~5 ~6 ~6 ~7
(loop(\(x,i).((i + x) * 2),x,2) - 1)
A142964: 1 5 15 37 83 177 367 749 1515 3049 6119 12261 24547 49121 98271 196573
(loop(\(x,i).(x * 2),x,(x + 2)) - 1)
A099035: 1 5 15 39 95 223 511 1151 2559 5631 12287 26623 57343 122879 262143 557055
loop(\(x,i).((0 - x) * 2),(x - 2),1)
A141531: 1 1 1 ~2 4 ~8 16 ~32 64 ~128 256 ~512 1024 ~2048 4096 ~8192
loop(\(x,i).((i + 2) * x),(x - 2),1)
A077134: 1 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800
A001710: 1 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000
loop(\(x,i).((x + 1) * 2),(x * 2),1)
A096045: 1 10 46 190 766 3070 12286 49150 196606 786430 3145726 12582910 50331646 201326590 805306366 3221225470
loop(\(x,i).((x * 2) * 2),(x * 2),1)
A001025: 1 16 256 4096 65536 1048576 16777216 268435456 4294967296 68719476736 1099511627776 17592186044416 281474976710656 4503599627370496 72057594037927936 1152921504606846976
loop(\(x,i).((i * x) * 2),(x * 2),1)
A067624: 1 8 384 46080 10321920 3715891200 1961990553600 1428329123020800 1371195958099968000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,((x * 2) + 1))
A016756: 1 81 625 2401 6561 14641 28561 50625 83521 130321 194481 279841 390625 531441 707281 923521
loop(\(x,i).(x * 2),x,((x * 2) + 1))
A014480: 1 6 20 56 144 352 832 1920 4352 9728 21504 47104 102400 221184 475136 1015808
loop(\(x,i).(i * x),x,((x * 2) + 1))
A188545: 1 3 10
A007680: 1 3 10 42 216 1320 9360 75600 685440 6894720 76204800 918086400 11975040000 168129561600 2528170444800 40537905408000
(if (x - 2) <= 0 then x else ((x * 2) - 1))
A192225: 0 1 2 5
A163985: 0 1 2 5 7 9 11 13 15 17 19 21 23 25 27 29
loop(\(x,i).((2 + 1) * x),(x * 2),1)
A001019: 1 9 81 729 6561 59049 531441 4782969 43046721 387420489 3486784401 31381059609 282429536481 2541865828329 22876792454961 205891132094649
((if (x - 1) <= 0 then x else (x * 2)) + 1)
A140139: 1 2 5 7 9 11 13 15 17 19 21 23 25 27 29 31
loop(\(x,i).((i + 1) * x),(x * 2),1)
A009445: 1 6 120 5040 362880 39916800 6227020800 1307674368000 355687428096000 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(x * 2)) - 1)
A163383: ~1 3 15 47 127 319 767 1791 4095 9215 20479 45055 98303 212991 458751 983039
loop(\(x,i).((i + 2) * x),(x * 2),1)
A002674: 1 12 360 20160 1814400 239500800 43589145600 10461394944000 3201186852864000 1216451004088320000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (2 - x) <= 0 then x else (x * 2)) + 1)
A003860: 1 3 3 4 5
(loop(\(x,i).(i * x),x,(x * 2)) + 1)
A155159: 1 3 9 37 193 1201 8641 70561 645121 6531841 72576001 878169601 11496038401 161902540801 2440992153601 39230231040001
loop(\(x,i).(1 - (i * x)),(x * 2),1)
A306535: 1 1 9 265 14833 1334961 176214841 32071101049 7697064251745 2355301661033953 895014631192902121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) * x),(x * 2),1)
A134372: 1 4 576 518400 1625702400 13168189440000 229442532802560000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(x div 2),1)
A213173: 1 1 4 4 16 16 64 64 256 256 1024 1024 4096 4096 16384 16384
loop(\(x,i).(1 - (x * 2)),(x div 2),1)
A077953: 1 1 ~1 ~1 3 3 ~5 ~5 11 11 ~21 ~21 43 43 ~85 ~85
loop(\(x,i).((i * x) * 2),(x div 2),1)
A037223: 1 1 2 2 8 8 48 48 384 384 3840 3840 46080 46080 645120 645120
loop(\(x,i).(x * 2),x,((x div 2) + 1))
A134353: 1 2 8 16 48 96 256 512 1280 2560 6144 12288 28672 57344 131072 262144
loop(\(x,i).(i * x),x,((x div 2) + 1))
A052558: 1 1 4 12 72 360 2880 20160 201600 1814400 21772800 239500800 3353011200 43589145600 697426329600 10461394944000
loop(\(x,i).((2 + 1) * x),(x div 2),1)
A108411: 1 1 3 3 9 9 27 27 81 81 243 243 729 729 2187 2187
loop(\(x,i).((i * i) * x),(x div 2),1)
A180064: 1 1 1 1 4 4 36 36 576 576 14400 14400 518400 518400 25401600 25401600
loop(\(x,i).(x * 2),x,((x mod 2) + 1))
A164906-A056450: 1 4 4 16 16 64 64 256 256 1024 1024 4096 4096 16384 16384 65536
(loop(\(x,i).((2 + 1) * x),x,2) - 1)
A048473: 1 5 17 53 161 485 1457 4373 13121 39365 118097 354293 1062881 3188645 9565937 28697813
(loop(\(x,i).((x div 2) + x),x,2) + 1)
A003312: 3 4 5 7 10 14 20 29 43 64 95 142 212 317 475 712
(loop(\(x,i).((x div 2) + x),x,2) - 1)
A156623-A061419: 1 2 3 5 8 12 18 27 41 62 93 140 210 315 473 710
loop(\(x,i).(x * 2),((x * x) div 2),1)
A099202: 1 1 4 16 256 4096 262144 16777216 4294967296 1099511627776 1125899906842624 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) + x),x,2) + 1)
A095768: 3 6 13 28 59 122 249 504 1015 2038 4085 8180 16371 32754 65521 131056
(loop(\(x,i).((i + x) + x),x,2) - 1)
A125128: 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054
((if (x mod (2 + 2)) <= 0 then 0 else x) + 1)
A001438: 1 2 3 4 1 6 7 8
loop(\(x,i).(((x * 2) * 2) - 1),x,1)
A007583: 1 3 11 43 171 683 2731 10923 43691 174763 699051 2796203 11184811 44739243 178956971 715827883
loop(\(x,i).((x + 1) * (2 + 1)),x,1)
A134931: 1 6 21 66 201 606 1821 5466 16401 49206 147621 442866 1328601 3985806 11957421 35872266
loop(\(x,i).((x + 2) * (2 + 1)),x,1)
A036543: 1 9 33 105 321 969 2913 8745 26241 78729 236193 708585 2125761 6377289 19131873 57395625
loop(\(x,i).((x - 2) * (2 + 1)),x,1)
A165746: 1 ~3 ~15 ~51 ~159 ~483 ~1455 ~4371 ~13119 ~39363 ~118095 ~354291 ~1062879 ~3188643 ~9565935 ~28697811
loop(\(x,i).((x * 2) * (2 + 1)),x,1)
A000400: 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 78364164096 470184984576
loop(\(x,i).(i * x),((2 + 1) * x),1)
A100732: 1 6 720 362880 479001600 1307674368000 6402373705728000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((1 - x) * (2 + 1)),x,1)
A084567: 1 0 3 ~6 21 ~60 183 ~546 1641 ~4920 14763 ~44286 132861 ~398580 1195743 ~3587226
loop(\(x,i).((2 - x) * (2 + 1)),x,1)
A165553: 1 3 ~3 15 ~39 123 ~363 1095 ~3279 9843 ~29523 88575 ~265719 797163 ~2391483 7174455
loop(\(x,i).((i * x) * (2 + 1)),x,1)
A032031: 1 3 18 162 1944 29160 524880 11022480 264539520 7142567040 214277011200 7071141369600 254561089305600 9927882482918400 416971064282572800 4611686018427387903
loop(\(x,i).((i div (x + 2)) + 1),x,1)
A257212: 1 1 1 2 2 2 2 2 3 2 3 3 3 3 3 4
loop(\(x,i).(i - ((x * 2) - 1)),x,1)
A077898: 1 0 3 ~2 9 ~12 31 ~54 117 ~224 459 ~906 1825 ~3636 7287 ~14558
loop(\(x,i).(((i * x) * 2) + 1),x,1)
A318165: 1 3 13
A010844: 1 3 13 79 633 6331 75973 1063623 17017969 306323443 6126468861 134782314943 3234775558633 84104164524459 2354916606684853 70647498200545591
loop(\(x,i).(((i * x) * 2) - 1),x,1)
A055214: 1 1 3 17 135 1349 16187 226617 3625871 65265677 1305313539 28716897857 689205548567 17919344262741 501741639356747 15052249180702409
((if (2 - x) <= 0 then x else (1 - x)) + 1)
A181440: 2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16
loop(\(x,i).(((2 + 1) * x) - 1),x,1)
A007051: 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485 7174454
loop(\(x,i).(((i + 1) * x) - 1),x,1)
A056543: 1 1 2 7 34 203 1420 11359 102230 1022299 11245288 134943455 1754264914 24559708795 368395631924 5894330110783
((loop(\(x,i).(x * 2),x,1) + x) + 1)
A005126: 2 4 7 12 21 38 71 136 265 522 1035 2060 4109 8206 16399 32784
loop(\(x,i).((2 + 2) * (x + 1)),x,1)
A083597: 1 8 36 148 596 2388 9556 38228 152916 611668 2446676 9786708 39146836 156587348 626349396 2505397588
loop(\(x,i).((x * 2) * (x + 1)),x,1)
A059918: 1 4 40 3280 21523360 926510094425920 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * (x + 1)),x,1)
A125295: 1 2 12 1872 6563711232 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) + (x + 1)),x,1)
A081489: 1 3 8 18 35 61 98 148 213 295 396 518 663 833 1030 1256
(loop(\(x,i).(x * 2),(x - 1),x) + 1)
A005183: 1 2 5 13 33 81 193 449 1025 2305 5121 11265 24577 53249 114689 245761
loop(\(x,i).(x * 2),((x - 1) * x),1)
A053773: 1 1 4 64 4096 1048576 1073741824 4398046511104 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903
A053763: 1 1 4 64 4096 1048576 1073741824 4398046511104 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then ((x - 1) * x) else 1)
A103505: 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210
((loop(\(x,i).(i * x),x,1) + x) + 1)
A213169: 2 3 5 10 29 126 727 5048 40329 362890 3628811 39916812 479001613 6227020814 87178291215 1307674368016
loop(\(x,i).(((i * i) * x) + 1),x,1)
A006040: 1 2 9 82 1313 32826 1181737 57905114 3705927297 300180111058 30018011105801 3632179343801922 523033825507476769 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * x) * (i + 1)),x,1)
A010790: 1 2 12 144 2880 86400 3628800 203212800 14631321600 1316818944000 144850083840000 19120211066880000 2982752926433280000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (0 - 2)),x,1)
A262710: 1 ~4 16 ~64 256 ~1024 4096 ~16384 65536 ~262144 1048576 ~4194304 16777216 ~67108864 268435456 ~1073741824
loop(\(x,i).(((x + 2) + 1) * 2),x,1)
A048489: 1 8 22 50 106 218 442 890 1786 3578 7162 14330 28666 57338 114682 229370
loop(\(x,i).(((x * 2) + 1) * 2),x,1)
A020989: 1 6 26 106 426 1706 6826 27306 109226 436906 1747626 6990506 27962026 111848106 447392426 1789569706
loop(\(x,i).(((x * 2) - 1) * 2),x,1)
A047849: 1 2 6 22 86 342 1366 5462 21846 87382 349526 1398102 5592406 22369622 89478486 357913942
loop(\(x,i).(((i + x) - 1) * 2),x,1)
A097813: 1 2 6 16 38 84 178 368 750 1516 3050 6120 12262 24548 49122 98272
loop(\(x,i).(((x + 2) + 2) * 2),x,1)
A048491: 1 10 28 64 136 280 568 1144 2296 4600 9208 18424 36856 73720 147448 294904
loop(\(x,i).(((x - 2) * 2) * 2),x,1)
A165752: 1 ~4 ~24 ~104 ~424 ~1704 ~6824 ~27304 ~109224 ~436904 ~1747624 ~6990504 ~27962024 ~111848104 ~447392424 ~1789569704
loop(\(x,i).(((x * 2) * 2) * 2),x,1)
A001018: 1 8 64 512 4096 32768 262144 2097152 16777216 134217728 1073741824 8589934592 68719476736 549755813888 4398046511104 35184372088832
(if (((x div 2) - 2) - 2) <= 0 then x else 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A175401-A175400-A175399-A175398-A133500-A000030: 0 1 2 3 4 5 6 7 8 9 1 1 1 1 1 1
loop(\(x,i).((2 - x) * (2 + 2)),x,1)
A165622: 1 4 ~8 40 ~152 616 ~2456 9832 ~39320 157288 ~629144 2516584 ~10066328 40265320 ~161061272 644245096
loop(\(x,i).((x * x) * (2 + 2)),x,1)
A051191: 1 4 64 16384 1073741824 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(2 + 2),x) + 1)
A060895: 1 2 65537 43046722 4294967297 152587890626 2821109907457 33232930569602 281474976710657 1853020188851842 10000000000000001 45949729863572162 184884258895036417 665416609183179842 2177953337809371137 4611686018427387903
loop(\(x,i).((i * x) * (2 + 2)),x,1)
A047053: 1 4 32 384 6144 122880 2949120 82575360 2642411520 95126814720 3805072588800 167423193907200 8036313307545600 417888291992371200 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 - x) + 2) * 2),x,1)
A083581: 1 6 ~4 16 ~24 56 ~104 216 ~424 856 ~1704 3416 ~6824 13656 ~27304 54616
loop(\(x,i).(1 - ((x * 2) * 2)),x,1)
A014985: 1 ~3 13 ~51 205 ~819 3277 ~13107 52429 ~209715 838861 ~3355443 13421773 ~53687091 214748365 ~858993459
loop(\(x,i).(((i + x) + 2) * 2),x,1)
A099041: 1 8 24 58 128 270 556 1130 2280 4582 9188 18402 36832 73694 147420 294874
loop(\(x,i).(((i + x) - 2) * 2),x,1)
A005803: 1 0 0 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738
loop(\(x,i).((x - (i - 2)) * 2),x,1)
A131831-A100314: 1 4 8 14 24 42 76 142 272 530 1044 2070 4120 8218 16412 32798
((if (x mod 2) <= 0 then x else (2 - x)) + 1)
A057174: 1 2 3 0 5 ~2 7 ~4 9 ~6 11 ~8 13 ~10 15 ~12
loop(\(x,i).(((x - 1) * x) + 2),x,1)
A166105: 1 2 4 14 184 33674 1133904604 1285739649838492214 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - 1) * x) + 2),x,1)
A054091: 1 2 4 10 32 130 652 3914 27400 219202 1972820 19728202 217010224 2604122690 33853594972 473950329610
((loop(\(x,i).(x * 2),x,2) + x) - 1)
A122039-A083706: 1 4 9 18 35 68 133 262 519 1032 2057 4106 8203 16396 32781 65550
((loop(\(x,i).(x * 2),x,2) - x) + 1)
A132753: 3 4 7 14 29 60 123 250 505 1016 2039 4086 8181 16372 32755 65522
loop(\(x,i).(((x div 2) + x) * 2),x,1)
A181490: 1 2 6 18
A025192: 1 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938
loop(\(x,i).(((i + 2) * x) * 2),x,1)
A051578: 1 6 48 480 5760 80640 1290240 23224320 464486400 10218700800 245248819200 6376469299200 178541140377600 5356234211328000 171399494762496000 4611686018427387903
loop(\(x,i).(((i * 2) + x) * 2),x,1)
A027178: 1 6 20 52 120 260 544 1116 2264 4564 9168 18380 36808 73668 147392 294844
loop(\(x,i).(((i mod 2) - x) * 2),x,1)
A167193: 1 0 0 2 ~4 10 ~20 42 ~84 170 ~340 682 ~1364 2730 ~5460 10922
(loop(\(x,i).(x * 2),(x + 2),x) + 1)
A048479: 1 9 33 97 257 641 1537 3585 8193 18433 40961 90113 196609 425985 917505 1966081
loop(\(x,i).(x * 2),((x + 2) * x),1)
A103488: 1 8 256 32768 16777216 34359738368 281474976710656 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),((x + 2) * x),1)
A256511: 1 6 40320 1307674368000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) + (x + 2)),x,1)
A094002: 1 5 14 33 72 151 310 629 1268 2547 5106 10225 20464 40943 81902 163821
loop(\(x,i).((i * i) + (x + 2)),x,1)
A049480: 1 4 10 21 39 66 104 155 221 304 406 529 675 846 1044 1271
loop(\(x,i).((x div 2) + (x * 2)),x,1)
A076883: 1 2 5 12 30 75 187 467 1167 2917 7292 18230 45575 113937 284842 712105
loop(\(x,i).((i mod 2) + (x * 2)),x,1)
A081254: 1 3 6 13 26 53 106 213 426 853 1706 3413 6826 13653 27306 54613
loop(\(x,i).((i + x) + (x * 2)),x,1)
A108765: 1 4 14 45 139 422 1272 3823 11477 34440 103330 310001 930015 2790058 8370188 25110579
loop(\(x,i).(x - (i - (x * 2))),x,1)
A164039: 1 2 4 9 23 64 186 551 1645 4926 14768 44293 132867 398588 1195750 3587235
loop(\(x,i).(i * x),((x div 2) * x),1)
A005607: 1 1 2 6 40320
(if (2 - x) <= 0 then ((x mod 2) + x) else 1)
A085914: 1 1 2 4 4 6 6 8 8 10 10 12 12 14 14 16
loop(\(x,i).(x * 2),((x mod 2) * x),1)
A066532: 1 2 1 8 1 32 1 128 1 512 1 2048 1 8192 1 32768
(((if (2 - x) <= 0 then x else 2) + x) - 1)
A053224-A004280: 1 2 3 5 7 9 11 13 15 17 19 21 23 25 27 29
loop(\(x,i).((i * x) * (i + 2)),x,1)
A010791: 1 3 24 360 8640 302400 14515200 914457600 73156608000 7242504192000 869100503040000 124281371934720000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) + (i * 2)),x,1)
A318165: 1 3 13
A114317: 1 3 13 175 30633 938380699 880558336255728613 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - (i mod 2)),x,1)
A005578: 1 1 2 3 6 11 22 43 86 171 342 683 1366 2731 5462 10923
(loop(\(x,i).(x * 2),x,1) div (x + 1))
A074099-A006788: 1 1 1 2 3 5 9 16 28 51 93 170 315 585 1092 2048
(loop(\(x,i).(x * 2),x,1) mod (x + 1))
A229878: 0 0 1 0 1 2
A062173: 0 0 1 0 1 2 1 0 4 2 1 8 1 2 4 0
(loop(\(x,i).(i * x),x,1) div (x + 1))
A226198: 1 0 0 1 4 20 102 630 4480 36288 329890 3326400 36846276 444787200 5811886080 81729648000
(loop(\(x,i).(i * x),x,1) mod (x + 1))
A061006: 0 1 2 2 4 0 6 0 0 0 10 0 12 0 0 0
loop(\(x,i).((x + 1) * x),2,(x + 1))
A176780-A082986: 6 42 156 420 930 1806 3192 5256 8190 12210 17556 24492 33306 44310 57840 74256
(loop(\(x,i).(x * 2),x,2) div (x + 1))
A000799: 2 2 2 4 6 10 18 32 56 102 186 341 630 1170 2184 4096
(loop(\(x,i).(x * 2),x,2) mod (x + 1))
A015910: 0 0 2 0 2 4 2 0 8 4 2 4 2 4 8 0
loop(\(x,i).((x div 2) + x),2,(x + 1))
A231407: 1 4 6
A330186-A330182: 1 4 6 9 10 13 15 18 19 22 24 27 28 31 33 36
(((if x <= 0 then 2 else x) * 2) * (x + 1))
A106232: 4 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480
((if x <= 0 then 1 else (x + 2)) * (x + 1))
A180291: 1 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272
((if (2 - x) <= 0 then x else 2) * (x + 1))
A060798: 2 4 6 12 20 30 42 56 72 90 110 132 156 182 210 240
loop(\(x,i).((i + x) * x),2,(x + 1))
A247727: 8 48 168 440 960 1848 3248 5328 8280 12320 17688 24648 33488 44520 58080 74528
((if (x mod 2) <= 0 then 1 else x) + (x + 1))
A321220: 2 3 4 7 6 11 8 15 10 19 12 23 14 27 16 31
loop(\(x,i).((i * x) + 1),x,(x + 1))
A084756: 1 3 9 34 161 926 6277 48980 432161 4252330 46152101 547589912 7050080545 97878067886 1457471241605 23169742992076
loop(\(x,i).((x + 1) * 2),x,(x + 1))
A328890: 1 6 18 46 110 254 574 1278 2814 6142 13310 28670 61438 131070 278526 589822
loop(\(x,i).((x - 1) * 2),x,(x + 1))
A181490: 1 2 6 18
A048495: 1 2 6 18 50 130 322 770 1794 4098 9218 20482 45058 98306 212994 458754
(if (x - (2 + 2)) <= 0 then x else (x + 1))
A340288-A231237: 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16
(if ((x div 2) - 2) <= 0 then x else (x + 1))
A067570: 0 1 2 3 4 5 7
A103679-A029916: 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16
loop(\(x,i).((i + x) * 2),x,(x + 1))
A027993: 1 6 20 54 132 306 688 1518 3308 7146 15336 32742 69604 147426 311264 655326
loop(\(x,i).((i + 2) * x),x,(x + 1))
A001286: 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 9153720576000 156920924160000 2845499424768000
loop(\(x,i).((i + x) + x),x,(x + 1))
A053221: 1 5 16 43 106 249 568 1271 2806 6133 13300 28659 61426 131057 278512 589807
(loop(\(x,i).(i * x),x,x) mod (x + 1))
A061007: 0 1 1 2 1 0 1 0 0 0 1 0 1 0 0 0
loop(\(x,i).((x - i) * x),2,(x - 1))
A052762: 0 0 0 0 24 120 360 840 1680 3024 5040 7920 11880 17160 24024 32760
(loop(\(x,i).(x * 2),x,x) * (x - 1))
A128796: 0 0 8 48 192 640 1920 5376 14336 36864 92160 225280 540672 1277952 2981888 6881280
loop(\(x,i).(((2 + 2) + 1) * x),x,1)
A000351: 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 30517578125
loop(\(x,i).(((i + 2) + 1) * x),x,1)
A001715: 1 4 20 120 840 6720 60480 604800 6652800 79833600 1037836800 14529715200 217945728000 3487131648000 59281238016000 1067062284288000
loop(\(x,i).(((i * 2) - 1) * x),x,1)
A001147: 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 213458046676875 6190283353629375
loop(\(x,i).(((x * x) + 1) * x),x,1)
A074333: 1 2 10 1010 1030302010 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) + 1) * x),x,1)
A275611: 1 2 10 310 384710 740009305210 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * i) + 1) * x),x,1)
A101686: 1 2 10 100 1700 44200 1635400 81770000 5315050000 435834100000 44019244100000 5370347780200000 778700428129000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 1) div 2) * x),x,1)
A010551: 1 1 1 2 4 12 36 144 576 2880 14400 86400 518400 3628800 25401600 203212800
loop(\(x,i).(((x + 2) * 2) + x),x,1)
A058481: 1 7 25 79 241 727 2185 6559 19681 59047 177145 531439 1594321 4782967 14348905 43046719
(loop(\(x,i).((x * 2) * 2),x,x) + 1)
A050915: 1 5 33 193 1025 5121 24577 114689 524289 2359297 10485761 46137345 201326593 872415233 3758096385 16106127361
loop(\(x,i).(((i + 2) + 2) * x),x,1)
A001720: 1 5 30 210 1680 15120 151200 1663200 19958400 259459200 3632428800 54486432000 871782912000 14820309504000 266765571072000 5068545850368000
loop(\(x,i).(((i mod 2) + 2) * x),x,1)
A026532: 1 3 6 18 36 108 216 648 1296 3888 7776 23328 46656 139968 279936 839808
loop(\(x,i).(((i * i) - 2) * x),x,1)
A263766: 1 ~1 ~2 ~14 ~196 ~4508 ~153272 ~7203784 ~446634608 ~35284134032 ~3457845135136 ~411483571081184 ~58430667093528128 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * i) * 2) + x),x,1)
A188475: 1 3 11 29 61 111 183 281 409 571 771 1013 1301 1639 2031 2481
loop(\(x,i).((i * x) + 1),(x * x),1)
A326253: 1 2 65 986410 56874039553217 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(x * x),1)
A060757: 1 4 256 262144 4294967296 1125899906842624 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),2,(x * x)) + 1)
A060890: 1 2 257 6562 65537 390626 1679617 5764802 16777217 43046722 100000001 214358882 429981697 815730722 1475789057 2562890626
loop(\(x,i).(i * x),x,((x * x) + 1))
A082042: 1 2 10 60 408 3120 26640 252000 2620800 29756160 366508800 4869849600 69455232000 1058593536000 17174123366400 295534407168000
loop(\(x,i).((2 + 1) * x),(x * x),1)
A060722: 1 3 81 19683 43046721 847288609443 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(x * x)) + 1)
A248917: 1 3 17 73 257 801 2305 6273 16385 41473 102401 247809 589825 1384449 3211265 7372801
(loop(\(x,i).((2 + 1) * x),x,x) + 1)
A050914: 1 4 19 82 325 1216 4375 15310 52489 177148 590491 1948618 6377293 20726200 66961567 215233606
loop(\(x,i).(((i * 2) + x) * x),x,1)
A145386: 1 3 21 567 326025 106295560875 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x * x) * x),1)
A190539: 1 2 256 134217728 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),((x * x) * x),1)
A255358: 1 1 40320 4611686018427387903
loop(\(x,i).((i * x) * (x * x)),x,1)
A054909: 1 1 2 24
A123851: 1 1 2 24 55296 845378412871680 4611686018427387903
loop(\(x,i).((i * i) + (x * x)),x,1)
A143760: 1 2 8 73 5345 28569050 816190617902536 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) * (x * x)),x,1)
A030450: 1 1 4 144 331776 2751882854400 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) + x),x,x) + 1)
A221882: 1 4 13 36 91 218 505 1144 2551 5622 12277 26612 57331 122866 262129 557040
loop(\(x,i).(i - ((1 - i) * x)),x,1)
A111063: 1 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609
loop(\(x,i).(((i + 2) * i) + x),x,1)
A047732: 1 4 12 27 51 86 134 197 277 376 496 639 807 1002 1226 1481
loop(\(x,i).(((i mod 2) + i) * x),x,1)
A001900: 1 2 4 16 64 384 2304 18432 147456 1474560 14745600 176947200 2123366400 29727129600 416179814400 6658877030400
loop(\(x,i).((i + x) * (i + x)),x,1)
A143764: 1 4 36 1521 2325625 5408554896900 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - i) * (i + x)),x,1)
A153062: 1 0 ~4 7 33 1064 1132060 1281559843551 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - x) * (i - x)),x,1)
A143763: 1 0 4 1 9 16 100 8649 74666881 5575141774264384 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) * (i * x)),x,1)
A000442: 1 1 8 216 13824 1728000 373248000 128024064000 65548320768000 47784725839872000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * i) * i) + x),x,1)
A154323: 1 2 10 37 101 226 442 785 1297 2026 3026 4357 6085 8282 11026 14401
loop(\(x,i).((x - (2 + 1)) * i),x,1)
A165814: 1 ~2 ~10 ~39 ~168 ~855 ~5148 ~36057 ~288480 ~2596347 ~25963500 ~285598533 ~3427182432 ~44553371655 ~623747203212 ~9356208048225
loop(\(x,i).(((x + 2) + 1) * i),x,1)
A165813: 1 4 14 51 216 1095 6588 46137 369120 3322107 33221100 365432133 4385185632 57007413255 798103785612 11971556784225
loop(\(x,i).(((i + x) - 1) * i),x,1)
A085923: 1 1 4 18 84 440 2670 18732 149912 1349280 13492890 148421900 1781062932 23153818272 324153455990 4862301840060
loop(\(x,i).(((i * x) + 1) * i),x,1)
A026025: 1 2 10 93 1492 37305 1342986 65806321 4211604552 341139968721 34113996872110 4127793621525321 594402281499646236 4611686018427387903 4611686018427387903
loop(\(x,i).((x - (2 + 2)) * i),x,1)
A166680: 1 ~3 ~14 ~54 ~232 ~1180 ~7104 ~49756 ~398080 ~3582756 ~35827600 ~394103644 ~4729243776 ~61480169140 ~860722368016 ~12910835520300
loop(\(x,i).((x mod (2 + 2)) * i),x,1)
A300659: 1 1 2 6 8 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).(((x + 2) + 2) * i),x,1)
A166677: 1 5 18 66 280 1420 8544 59836 478720 4308516 43085200 473937244 5687246976 73934210740 1035078950416 15526184256300
loop(\(x,i).(((x * 2) * 2) - i),x,1)
A188545: 1 3 10
A164044: 1 3 10 37 144 571 2278 9105 36412 145639 582546 2330173 9320680 37282707 149130814 596523241
loop(\(x,i).(((i + x) * 2) + i),x,1)
A097810: 1 5 16 41 94 203 424 869 1762 3551 7132 14297 28630 57299 114640 229325
((x - (if (x - 1) <= 0 then 1 else 0)) mod 2)
A266070: 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1
((x - (if (x - 2) <= 0 then 1 else 0)) mod 2)
A266719: 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1
((x - (if (2 - x) <= 0 then 1 else 0)) mod 2)
A296066: 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0
(if (x mod 2) <= 0 then (2 + 1) else (0 - 2))
A168330: 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2
(x - ((if x <= 0 then 1 else x) div (0 - 2)))
A294732: 1 2 3 5 6 8 9 11 12 14 15 17 18 20 21 23
(x - (if x <= 0 then 1 else (x div (0 - 2))))
A045506: ~1 2 3 5 6 8 9 11 12 14 15 17 18 20 21 23
(((x * 2) - 1) * (if x <= 0 then 0 else 2))
A130824: 0 2 6 10 14 18 22 26 30 34 38 42 46 50 54 58
(loop(\(x,i).((i + x) + x),x,0) div 2)
A320933: 0 0 2 5 13 28 60 123 251 506 1018 2041 4089 8184 16376 32759
(x - (if (x mod 2) <= 0 then (0 - 1) else 2))
A097062: 1 ~1 3 1 5 3 7 5 9 7 11 9 13 11 15 13
(if (x - ((2 + 1) * 2)) <= 0 then 1 else 2)
A300287-A226764-A171622: 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2
(if ((x div (2 + 1)) - 2) <= 0 then 1 else 2)
A329624-A282622-A279951-A279224-A277090-A276502-A254524-A248777-A211665-A187187-A167661-A133879-A116371-A103376-A032574-A032572-A032556: 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2
((if (x mod (2 + 1)) <= 0 then 2 else 1) + 2)
A129344: 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 4
(if ((x div (2 + 2)) - 2) <= 0 then 1 else 2)
A285481-A279758-A145884-A103379: 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2
(if (((x div 2) - 2) - 2) <= 0 then 1 else 2)
A324160-A262190-A226233-A204551-A179051-A160093-A140438-A138902-A133880-A133502-A132272-A108622-A103377-A098378-A055642: 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2
(if ((x - 1) mod (2 + 2)) <= 0 then 1 else 2)
A214860: 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2
(if (x mod ((x mod 2) + 2)) <= 0 then 1 else 2)
A213636: 1 2 1 1 1 2 1 2 1 1 1 2 1 2 1 1
(if (x mod 2) <= 0 then 1 else ((2 + 1) * 2))
A010687: 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6
((if (x - 2) <= 0 then x else (2 + 1)) + 2)
A168092: 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5
(loop(\(x,i).(x * 2),x,(2 + 1)) + 2)
A164094: 5 8 14 26 50 98 194 386 770 1538 3074 6146 12290 24578 49154 98306
(loop(\(x,i).(x * 2),x,(2 + 1)) div 2)
A170684-A170636-A170588-A170540-A170492-A170444-A170396-A170348-A170300-A170252-A170204-A170156-A170108-A170060-A170012-A169544-A169496-A169448-A169400-A169352-A169304-A169256-A169208-A169160-A169112-A169064-A169016-A168968-A168920-A168872-A168824-A168776-A168728-A168680-A167881-A003945: 1 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152
(((if x <= 0 then 2 else x) mod (2 + 1)) div 2)
A173857: 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0
(if x <= 0 then 1 else ((x div (2 + 1)) + 2))
A053620: 1 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7
loop(\(x,i).(i - x),(x mod (2 + 1)),2)
A131756: 2 ~1 3 2 ~1 3 2 ~1 3 2 ~1 3 2 ~1 3 2
(loop(\(x,i).(x * x),x,(2 + 1)) + 2)
A057726: 5 11 83 6563
A057727: 5 11 83 6563 43046723 1853020188851843 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x * 2) + 1) * 2))
A133653: 1 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62
loop(\(x,i).(x * 2),((x * 2) - 1),2)
A155543: 2 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824
(if x <= 0 then 1 else (((x * 2) - 1) * 2))
A111284: 1 2 6 10 14 18 22 26 30 34 38 42 46 50 54 58
((loop(\(x,i).(x * x),x,2) - 1) * 2)
A074777: 2 6 30 510 131070 8589934590
(loop(\(x,i).((x + 1) * 2),x,1) div 2)
A086219-A060153-A055010: 0 2 5 11 23 47 95 191 383 767 1535 3071 6143 12287 24575 49151
(loop(\(x,i).((x * 2) * 2),x,1) + 2)
A178789: 3 6 18 66 258 1026 4098 16386 65538 262146 1048578 4194306 16777218 67108866 268435458 1073741826
(if (((2 - x) + 2) * x) <= 0 then 1 else 2)
A171624: 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1
(loop(\(x,i).(x * x),2,(x + 1)) div 2)
A191903: 0 8 40 128 312 648 1200 2048 3280 5000 7320 10368 14280 19208 25312 32768
loop(\(x,i).((i * x) * 2),(x + 1),2)
A130683: 4 16 96 768 7680 92160 1290240 20643840 371589120 7431782400 163499212800 3923981107200 102023508787200 2856658246041600 85699747381248000 2742391916199936000
loop(\(x,i).(i * x),x,((x + 1) div 2))
A052591: 0 1 2 12 48 360 2160 20160 161280 1814400 18144000 239500800 2874009600 43589145600 610248038400 10461394944000
loop(\(x,i).(x * 2),x,((x + 1) mod 2))
A199572: 1 0 4 0 16 0 64 0 256 0 1024 0 4096 0 16384 0
loop(\(x,i).(i * x),x,((x + 1) mod 2))
A005359: 1 0 2 0 24 0 720 0 40320 0 3628800 0 479001600 0 87178291200 0
(((if x <= 0 then 2 else x) * (x + 1)) div 2)
A179865: 1 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120
(if (x mod 2) <= 0 then 1 else ((x - 1) * 2))
A265722: 1 0 1 4 1 8 1 12 1 16 1 20 1 24 1 28
(((if x <= 0 then 1 else x) * (x - 1)) + 2)
A222011: 1 2 4 8
(1 mod loop(\(x,i).(x * x),(x - 1),2))
A144616-A068214: 1 1 1 1 1 1 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((2 + 2) + 1) * (if x <= 0 then 1 else 2))
A040020: 5 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
(((x * x) + 1) * (if x <= 0 then 1 else 2))
A005893: 1 4 10 20 34 52 74 100 130 164 202 244 290 340 394 452
(((2 + 2) * 2) * (if x <= 0 then 1 else 2))
A040056: 8 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
((x div (2 + 2)) + (if x <= 0 then 1 else 2))
A226763: 1 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5
(((x + 2) + 2) + (if x <= 0 then 1 else 2))
A242963: 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
(((x + 2) * 2) + (if x <= 0 then 1 else 2))
A115401: 5 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36
((2 - (x mod 2)) * (if x <= 0 then 1 else 2))
A040003: 2 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2
(((x * x) div 2) + (if x <= 0 then 1 else 2))
A333574: 1 2 4 6 10 14 20 26 34 42 52 62 74 86 100 114
(((x + 1) * x) + (if x <= 0 then 1 else 2))
A003682: 1 4 8 14 22 32 44 58 74 92 112 134 158 184 212 242
(((x div 2) + x) + (if x <= 0 then 1 else 2))
A114119: 1 3 5 6 8 9 11 12 14 15 17 18 20 21 23 24
(((x * x) * x) + (if x <= 0 then 1 else 2))
A188545: 1 3 10
(loop(\(x,i).((2 + 1) * x),x,1) + 2)
A168607: 3 5 11 29 83 245 731 2189 6563 19685 59051 177149 531443 1594325 4782971 14348909
(loop(\(x,i).((x + 1) * x),x,1) * 2)
A053631: 2 4 12 84 3612 6526884 21300113901612 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,1) + 2) + 2)
A140504: 5 6 8 12 20 36 68 132 260 516 1028 2052 4100 8196 16388 32772
((loop(\(x,i).(x * 2),x,1) div 2) + 2)
A056469: 2 3 4 6 10 18 34 66 130 258 514 1026 2050 4098 8194 16386
((loop(\(x,i).(i * x),x,1) div 2) * 2)
A124355: 0 0 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000
((if (x mod 2) <= 0 then 1 else (2 + 2)) * 2)
A010698: 2 8 2 8 2 8 2 8 2 8 2 8 2 8 2 8
(if (x mod 2) <= 0 then 1 else ((2 + 2) * 2))
A010689: 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8
(if x <= 0 then 1 else (x div ((2 + 2) * 2)))
A339109-A288684-A264595-A245793-A245148-A185328-A185118-A025153-A017902-A017876-A017875-A017874-A017873: 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1
loop(\(x,i).((x * x) * x),(2 + 2),2)
A144134-A118329-A115453-A072288-A058446: 4611686018427387903
A291353-A280419-A257374-A217419-A210704-A130682-A008870-A008869: 4611686018427387903 4611686018427387903
A338966-A328860-A291354-A246291-A169667-A160678-A155960-A141756-A135956-A135386-A120335-A115556-A115503-A105300-A033290-A010034-A008868-A003944-A003937-A003854-A003847: 4611686018427387903 4611686018427387903 4611686018427387903
A338958-A338954-A292993-A292992-A292858-A292857-A292856-A292846-A261700-A257376-A246290-A234594-A219283-A217416-A194216-A181789-A171265-A120318-A115555-A115548-A115547-A115542-A115532-A115531-A114993-A105301-A105299-A104300-A008916-A008915-A008872-A008871-A003943-A003942-A003936-A003935-A003846-A003845: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A332605-A306797-A292635-A291042-A280350-A280349-A280347-A280346-A280301-A280299-A280298-A272522-A246289-A217431-A217428-A217425-A217422-A217413-A217410-A181309-A174817-A174671-A173907-A162033-A135955-A115541-A115540-A104319-A104304-A104283-A009190-A003853-A003852-A003813-A003812-A003806: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A292859-A272521-A247262-A219323-A217404-A175274-A105298-A104322-A104267-A083104-A083103-A046061-A003805: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A343266-A341116-A291215-A265913-A246288-A246255-A239924-A181791-A181790-A132902-A120317-A115530-A105303: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A281907-A272520-A246254-A219322-A217407-A215403-A146561-A121977-A104263-A092118: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A338609-A246253-A238360-A216854-A187716-A187714-A180247-A175273-A132185-A076335-A037017: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A343357-A340397-A326414-A324208-A304373-A290156-A252504-A238359-A219321-A215876-A116356: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A321136-A316155-A288290-A257307-A231562: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A266961: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A257370: 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(x + 2),2) * 2)
A109384: 32 512 131072 8589934592 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x * 2) * 2) * 2))
A022144: 1 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120
((if (x - 2) <= 0 then (x div 2) else 2) + 2)
A300404: 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4
(x - loop(\(x,i).((x * x) + 2),2,2))
A023480: ~38 ~37 ~36 ~35 ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23
loop(\(x,i).(x * x),(x * 2),(2 + 2))
A137840: 4 256 4294967296 4611686018427387903 4611686018427387903
(if (x - (2 + 1)) <= 0 then x else (2 + 2))
A158411: 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4
loop(\(x,i).((x * 2) + 1),x,(2 + 2))
A153894: 4 9 19 39 79 159 319 639 1279 2559 5119 10239 20479 40959 81919 163839
((if (x mod 2) <= 0 then 1 else x) mod (2 + 2))
A093148: 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3
loop(\(x,i).((x * x) - 1),x,(2 + 2))
A139244: 4 15 224 50175 2517530624 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) - 2),x,(2 + 2))
A003010: 4 14 194 37634 1416317954 2005956546822746114 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,(x - (2 + 2)))
A282822: ~4 ~3 ~4 ~6 0 120 1440 15120 161280 1814400 21772800 279417600 3832012800 56043187200 871782912000 14384418048000
((if x <= 0 then 1 else x) - (x div (2 + 2)))
A213854-A074184: 1 1 2 3 3 4 5 6 6 7 8 9 9 10 11 12
loop(\(x,i).((x - 1) * x),x,(2 + 2))
A204321: 4 12 132 17292 298995972 89398590973228812 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,x) * (2 + 2))
A208528: 0 4 16 72 384 2400 17280 141120 1290240 13063680 145152000 1756339200 22992076800 323805081600 4881984307200 78460462080000
loop(\(x,i).((i * i) + x),x,(2 + 2))
A153058: 4 5 9 18 34 59 95 144 208 289 389 510 654 823 1019 1244
loop(\(x,i).((x * x) + i),x,(2 + 2))
A153061: 4 17 291 84684 7171379860 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) - i),x,(2 + 2))
A153060: 4 15 223 49726 2472675072 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) + 1),x,2) div 2)
A083329: 1 2 5 11 23 47 95 191 383 767 1535 3071 6143 12287 24575 49151
(loop(\(x,i).((x * 2) * 2),x,2) + 2)
A283070: 4 10 34 130 514 2050 8194 32770 131074 524290 2097154 8388610 33554434 134217730 536870914 2147483650
(loop(\(x,i).((x * 2) * 2),x,2) - 2)
A002446: 0 6 30 126 510 2046 8190 32766 131070 524286 2097150 8388606 33554430 134217726 536870910 2147483646
loop(\(x,i).(x * 2),x,((x + 2) + 2))
A079859: 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592
(((if x <= 0 then 1 else x) * (x + 2)) div 2)
A178939: 1 1 4 7 12
(loop(\(x,i).(x * 2),x,(x + 2)) div 2)
A001792: 1 3 8 20 48 112 256 576 1280 2816 6144 13312 28672 61440 131072 278528
loop(\(x,i).((i + 2) * x),(x + 2),2)
A124657: 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 20922789888000 355687428096000 6402373705728000 121645100408832000
loop(\(x,i).((x * 2) + 1),(x * 2),2)
A198693: 2 11 47 191 767 3071 12287 49151 196607 786431 3145727 12582911 50331647 201326591 805306367 3221225471
loop(\(x,i).((x * 2) * 2),(x * 2),2)
A013776: 2 32 512 8192 131072 2097152 33554432 536870912 8589934592 137438953472 2199023255552 35184372088832 562949953421312 9007199254740992 144115188075855872 2305843009213693952
loop(\(x,i).(x * x),2,((x * 2) * 2))
A016804: 0 256 4096 20736 65536 160000 331776 614656 1048576 1679616 2560000 3748096 5308416 7311616 9834496 12960000
(if (x mod 2) <= 0 then 1 else ((x div 2) + 2))
A342703-A133622: 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9
loop(\(x,i).((2 + 1) * x),(x div 2),2)
A117855: 2 2 6 6 18 18 54 54 162 162 486 486 1458 1458 4374 4374
(1 mod (if (2 - x) <= 0 then (x div 2) else 2))
A267537: 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1
(((if x <= 0 then 1 else x) + (x mod 2)) + 2)
A213222: 3 4 4 6 6 8 8 10 10 12 12 14 14 16 16 18
(loop(\(x,i).((2 + 1) * x),x,2) + 2)
A115099: 4 8 20 56 164 488 1460 4376 13124 39368 118100 354296 1062884 3188648 9565940 28697816
(loop(\(x,i).((x div 2) + x),x,2) div 2)
A005428: 1 1 2 3 4 6 9 14 21 31 47 70 105 158 237 355
loop(\(x,i).(((i + x) + x) * x),2,2)
A157645: 220 220 220 220 220 220 220 220 220 220 220 220 220 220 220 220
((if (x mod (2 + 1)) <= 0 then 1 else x) mod 2)
A065535: 1 1 0 1 0 1 1 1 0 1 0
A285518-A093719: 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1
loop(\(x,i).(((x * 2) * 2) + 1),x,2)
A206374: 2 9 37 149 597 2389 9557 38229 152917 611669 2446677 9786709 39146837 156587349 626349397 2505397589
loop(\(x,i).(((x * 2) * 2) - 1),x,2)
A136412: 2 7 27 107 427 1707 6827 27307 109227 436907 1747627 6990507 27962027 111848107 447392427 1789569707
loop(\(x,i).((x - 1) * (2 + 1)),x,2)
A115098: 2 3 6 15 42 123 366 1095 3282 9843 29526 88575 265722 797163 2391486 7174455
loop(\(x,i).(((x * x) * 2) - 1),x,2)
A002812: 2 7 97 18817 708158977 1002978273411373057 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then 2 else ((1 - x) div 2))
A174007: 2 0 2 ~1 2 ~2 2 ~3 2 ~4 2 ~5 2 ~6 2 ~7
loop(\(x,i).(((x + 1) * x) + 1),x,2)
A105183: 2 7 57 3307 10939557 119673918295807 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,1) + x) * 2)
A131520: 2 6 12 22 40 74 140 270 528 1042 2068 4118 8216 16410 32796 65566
loop(\(x,i).(((i + 2) * x) + 1),x,2)
A185109: 2 7 29 146 877 6140 49121 442090 4420901 48629912 583558945 7586266286 106207728005 1593115920076 25489854721217 433327530260690
loop(\(x,i).((2 + 2) * (x + 1)),x,2)
A080675: 2 12 52 212 852 3412 13652 54612 218452 873812 3495252 13981012 55924052 223696212 894784852 3579139412
(loop(\(x,i).(i * x),(x - 1),x) * 2)
A052849: 0 2 4 12 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
(((2 + 2) mod (if x <= 0 then 1 else x)) mod 2)
A343958-A193243-A185013-A045840: 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((i * x) * (i + 1)),x,2)
A047677: 2 4 24 288 5760 172800 7257600 406425600 29262643200 2633637888000 289700167680000 38240422133760000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 2) <= 0 then 1 else 2) + x) + 2)
A063992-A055495: 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19
(((if (x - 2) <= 0 then 1 else 2) + x) * 2)
A309374: 2 4 6 10 12
loop(\(x,i).(((x * 2) * 2) * 2),x,2)
A013730: 2 16 128 1024 8192 65536 524288 4194304 33554432 268435456 2147483648 17179869184 137438953472 1099511627776 8796093022208 70368744177664
(if (((x div 2) - 2) - 2) <= 0 then x else 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A177895: 0 1 2 3 4 5 6 7 8 9 2 2 2 2 2 2
(2 - loop(\(x,i).((x div 2) - 2),x,2))
A267884: 0 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6
(loop(\(x,i).((x * x) div 2),2,x) div 2)
A030179: 0 0 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136
loop(\(x,i).((x - (i mod 2)) * 2),x,2)
A052953: 2 2 4 6 12 22 44 86 172 342 684 1366 2732 5462 10924 21846
loop(\(x,i).(((x + 1) * x) div 2),x,2)
A007501: 2 3 6 21 231 26796 359026206 64449908476890321 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),2,x) div 2)
A110450: 0 3 21 78 210 465 903 1596 2628 4095 6105 8778 12246 16653 22155 28920
loop(\(x,i).(((x + 2) * x) - 2),x,2)
A145502: 2 6 46 2206 4870846 23725150497406 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) - x) div 2)
A084174: 1 1 3 6 14 29 61 124 252 507 1019 2042 4090 8185 16377 32760
loop(\(x,i).(((i + 2) * x) * 2),x,2)
A014297: 2 12 96 960 11520 161280 2580480 46448640 928972800 20437401600 490497638400 12752938598400 357082280755200 10712468422656000 342798989524992000 4611686018427387903
(loop(\(x,i).(x * 2),(x + 2),x) * 2)
A059165: 0 16 64 192 512 1280 3072 7168 16384 36864 81920 180224 393216 851968 1835008 3932160
loop(\(x,i).(x * 2),((x + 2) * x),2)
A063391: 2 16 512 65536 33554432 68719476736 562949953421312 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(x - 2),x) div 2)
A049610: 0 0 1 3 8 20 48 112 256 576 1280 2816 6144 13312 28672 61440
(loop(\(x,i).(i * x),(x * 2),x) * 2)
A062779: 0 4 96 4320 322560 36288000 5748019200 1220496076800 334764638208000 115242726703104000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),((x div 2) + x),2)
A173566: 2 4 256
(if x <= 0 then 1 else (((x mod 2) + x) * 2))
A146890: 1 4 4 8 8 12 12 16 16
(((2 + 1) mod (if x <= 0 then 2 else x)) mod 2)
A267878-A267870: 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).(((i * x) * x) + 2),x,2)
A065410: 2 6 74 16430 1079779602 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(i * x),x,2) + x) + 2)
A275929: 4 5 8 17 54 247 1448 10089 80650 725771 7257612 79833613 958003214 12454041615 174356582416 2615348736017
loop(\(x,i).((i * x) * (i + 2)),x,2)
A175430: 2 6 48 720 17280 604800 29030400 1828915200 146313216000 14485008384000 1738201006080000 248562743869440000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + x) * i) + 2),x,2)
A107283: 2 5 16 59 254 1297 7820 54791 438394 3945629 39456392 434020435 5208245366 67707189929 947900659204 14218509888287
loop(\(x,i).(x - ((i * i) - 2)),x,2)
A058372: 2 3 1 ~6 ~20 ~43 ~77 ~124 ~186 ~265 ~363 ~482 ~624 ~791 ~985 ~1208
(loop(\(x,i).(x * 2),x,1) mod (x + 2))
A213859: 1 2 0 3 4 4 0 2 6 6 4 7 8 2 0 9
loop(\(x,i).((x * x) - 2),2,(x + 2))
A304725: 2 47 194 527 1154 2207 3842 6239 9602 14159 20162 27887 37634 49727 64514 82367
(loop(\(x,i).(i * x),x,2) div (x + 2))
A061370: 1 0 1 2 8 34 180 1120 8064 65978 604800 6141046 68428800 830269440 10897286400 153844043294
(if ((x div 2) - 2) <= 0 then x else (x + 2))
A039260: 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17
loop(\(x,i).((2 + 1) * x),x,(x + 2))
A288834: 2 9 36 135 486 1701 5832 19683 65610 216513 708588 2302911 7440174 23914845 76527504 243931419
(if x <= 0 then 1 else ((x * x) * (x + 2)))
A216149: 1 3 16
(loop(\(x,i).(i * x),x,x) * (x + 2))
A130744: 0 3 16 90 576 4200 34560 317520 3225600 35925120 435456000 5708102400 80472268800 1214269056000 19527937228800 333456963840000
loop(\(x,i).((i * i) * x),x,(x + 2))
A179442: 2 3 16 180 3456 100800 4147200 228614400 16257024000 1448500838400 158018273280000 20713561989120000 3212195459235840000 4611686018427387903 4611686018427387903
(if (x - (2 + 2)) <= 0 then 1 else (x - 2))
A171604: 1 1 1 1 1 3 4
(1 mod (if (x - 2) <= 0 then 2 else (x - 2)))
A267871: 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1
(2 div (if (x - 2) <= 0 then 2 else (x - 2)))
A329679: 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0
((if (x - 1) <= 0 then 1 else 0) + (x * 2))
A027440: 1 3 4 6 8 10 12
((if (2 - x) <= 0 then 1 else 0) + (x * 2))
A130773: 0 2 5 7 9 11 13 15 17 19 21 23 25 27 29 31
loop(\(x,i).(x * x),(2 + 1),(x * 2))
A016748: 0 256 65536 1679616 16777216 100000000 429981696 1475789056 4294967296 11019960576 25600000000 54875873536 110075314176 208827064576 377801998336 656100000000
loop(\(x,i).(x * 2),x,(1 - (x * 2)))
A143126: 1 ~2 ~12 ~40 ~112 ~288 ~704 ~1664 ~3840 ~8704 ~19456 ~43008 ~94208 ~204800 ~442368 ~950272
((2 - x) - (if x <= 0 then 1 else (x * 2)))
A112335: 1 ~1 ~4 ~7 ~10 ~13 ~16 ~19 ~22 ~25 ~28 ~31 ~34 ~37 ~40 ~43
((if (x - 2) <= 0 then 1 else 2) + (x * 2))
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
(if (x mod 2) <= 0 then (x div 2) else (x * 2))
A064680: 0 2 1 6 2 10 3 14 4 18 5 22 6 26 7 30
loop(\(x,i).((x * x) * x),2,(x * 2))
A016749: 0 512 262144 10077696 134217728 1000000000 5159780352 20661046784 68719476736 198359290368 512000000000 1207269217792 2641807540224 5429503678976 10578455953408 19683000000000
loop(\(x,i).((x - 1) * 2),x,(x * 2))
A036799: 0 2 10 34 98 258 642 1538 3586 8194 18434 40962 90114 196610 425986 917506
loop(\(x,i).((x - 2) * 2),x,(x * 2))
A291526: 0 0 4 20 68 196 516 1284 3076 7172 16388 36868 81924 180228 393220 851972
((if (x mod 2) <= 0 then 2 else 0) + (x div 2))
A084964: 2 0 3 1 4 2 5 3 6 4 7 5 8 6 9 7
((if (x mod 2) <= 0 then x else 0) + (x div 2))
A071045: 0 0 3 1 6 2 9 3 12 4 15 5 18 6 21 7
((if (x mod 2) <= 0 then x else 1) - (x div 2))
A097140: 0 1 1 0 2 ~1 3 ~2 4 ~3 5 ~4 6 ~5 7 ~6
(if (x mod 2) <= 0 then (x + 1) else (x div 2))
A174239: 1 0 3 1 5 2 7 3 9 4 11 5 13 6 15 7
loop(\(x,i).(x * 2),(x - 1),(x div 2))
A274497: 0 0 2 4 16 32 96 192 512 1024 2560 5120 12288 24576 57344 114688
((if (x mod 2) <= 0 then x else 2) + (x div 2))
A266286: 0 2 3 3 6 4 9 5 12 6 15 7 18 8 21 9
((if (x mod 2) <= 0 then 1 else x) + (x div 2))
A266285: 1 1 2 4 3 7 4 10 5 13 6 16 7 19 8 22
((if (2 - x) <= 0 then 2 else 1) + (x mod 2))
A174296: 1 2 2 3 2 3 2 3 2 3 2 3 2 3 2 3
(loop(\(x,i).(x * 2),x,1) - (x mod 2))
A051049: 1 1 4 7 16 31 64 127 256 511 1024 2047 4096 8191 16384 32767
loop(\(x,i).(i * x),x,(2 - (x mod 2)))
A052566: 2 1 4 6 48 120 1440 5040 80640 362880 7257600 39916800 958003200 6227020800 174356582400 1307674368000
loop(\(x,i).(((2 + 2) + 1) * x),x,2)
A020729: 2 10 50 250 1250 6250 31250 156250 781250 3906250 19531250 97656250 488281250 2441406250 12207031250 61035156250
loop(\(x,i).(((x * 2) - 1) * x),x,2)
A097419: 2 6 66 8646 149497986 44699295486614406 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) + 1) * x),x,2)
A002301: 2 8 40 240 1680 13440 120960 1209600 13305600 159667200 2075673600 29059430400 435891456000 6974263296000 118562476032000 2134124568576000
loop(\(x,i).(((i * 2) - 1) * x),x,2)
A097801: 2 2 6 30 210 1890 20790 270270 4054050 68918850 1309458150 27498621150 632468286450 15811707161250 426916093353750 12380566707258750
(loop(\(x,i).((x + 1) * 2),x,x) div 2)
A006589: 0 2 7 19 47 111 255 575 1279 2815 6143 13311 28671 61439 131071 278527
(loop(\(x,i).((x * 2) * 2),x,x) div 2)
A002699: 0 2 16 96 512 2560 12288 57344 262144 1179648 5242880 23068672 100663296 436207616 1879048192 8053063680
(((if (x mod 2) <= 0 then 2 else x) + x) div 2)
A029579: 1 1 2 3 3 5 4 7 5 9 6 11 7 13 8 15
(loop(\(x,i).((0 - x) * 2),x,x) div 2)
A085750: 0 ~1 4 ~12 32 ~80 192 ~448 1024 ~2304 5120 ~11264 24576 ~53248 114688 ~245760
loop(\(x,i).(x * 2),x,((x * x) + 2))
A217527: 2 6 24 88 288 864 2432 6528 16896 42496 104448 251904 598016 1400832 3244032 7438336
(if x <= 0 then 1 else (x div ((x * x) - 2)))
A263013-A014195-A014183-A014147-A014123-A014111: 1 ~1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((x * x) * x),(x * x),2)
A260548-A124075: 2 8 4611686018427387903
((if (x mod (2 + 1)) <= 0 then 1 else 0) + x)
A147534: 1 1 2 4 4 5 7 7 8 10 10 11 13 13 14 16
(if (x mod ((2 + 2) + 1)) <= 0 then 0 else x)
A091703: 0 1 2 3 4 0 6 7 8 9 0 11 12 13 14 0
((if (x - (2 + 2)) <= 0 then 1 else 0) + x)
A108141-A072932: 1 2 3 4 5 5 6 7 8 9 10 11 12 13 14 15
((if (x mod 2) <= 0 then (x + 1) else 0) + x)
A133090: 1 1 5 3 9 5 13 7 17 9 21 11 25 13 29 15
(if ((x div (2 + 1)) - 2) <= 0 then 0 else x)
A095777: 0 0 0 0 0 0 0 0 0 9 10 11 12 13 14 15
(if (x mod ((2 + 2) * 2)) <= 0 then 0 else x)
A004183: 0 1 2 3 4 5 6 7 0 9 10 11 12 13 14 15
((if ((x div 2) mod 2) <= 0 then 2 else 0) + x)
A174091: 2 3 2 3 6 7 6 7 10 11 10 11 14 15 14 15
(if (x mod ((x mod 2) + 2)) <= 0 then 0 else x)
A091685: 0 1 0 0 0 5 0 7 0 0 0 11 0 13 0 0
(if (x mod 2) <= 0 then (x + 1) else (0 - x))
A296063: 1 ~1 3 ~3 5 ~5 7 ~7 9 ~9 11 ~11 13 ~13 15 ~15
(1 div (if (x mod (2 + 1)) <= 0 then 1 else x))
A329680: 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1
(loop(\(x,i).i,((x div 2) - 1),1) + x)
A308017: 1 2 3 4 5 6 8 9 11 12 14 15 17 18 20 21
(loop(\(x,i).(x * 2),(x - 1),1) + x)
A288133: 1 2 4 7 12 21 38 71 136 265 522 1035 2060 4109 8206 16399
((if (x - (2 + 2)) <= 0 then 2 else 1) + x)
A121604: 2 3 4 5 6 6 7 8 9
((if (x mod 2) <= 0 then (2 + 2) else 1) * x)
A195161: 0 1 8 3 16 5 24 7 32 9 40 11 48 13 56 15
(if x <= 0 then 1 else (((2 + 2) + 1) * x))
A008706: 1 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75
((if ((2 - x) + 2) <= 0 then 2 else 1) + x)
A099260-A053241: 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17
(loop(\(x,i).i,((x div 2) - 2),1) + x)
A342081: 1 2 3 4 5 6 7 8 10 11 13 14 16 17 19 20
loop(\(x,i).(x * x),2,((2 + 1) * x))
A016768: 0 81 1296 6561 20736 50625 104976 194481 331776 531441 810000 1185921 1679616 2313441 3111696 4100625
(((if x <= 0 then 1 else x) mod (2 + 1)) + x)
A143097: 1 2 4 3 5 7 6 8 10 9 11 13 12 14 16 15
loop(\(x,i).((x + 2) * x),(2 + 1),x)
A258809: 0 255 6560 65535 390624 1679615 5764800 16777215 43046720 99999999 214358880 429981695 815730720 1475789055 2562890624 4294967295
loop(\(x,i).((x * x) * x),(2 + 1),x)
A122968: 0 1 134217728 7625597484987 18014398509481984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) - 1) * x)
A059672: 0 3 14 45 124 315 762 1785 4088 9207 20470 45045 98292 212979 458738 983025
((if (x mod 2) <= 0 then (x + 2) else 1) * x)
A065530-A037206: 0 1 8 3 24 5 48 7 80 9 120 11 168 13 224 15
(if x <= 0 then 1 else (((x + 2) + 1) * x))
A217748: 1 4 10 18 28 40 54 70 88 108 130 154 180 208 238 270
(loop(\(x,i).(x * 2),(x - 2),1) + x)
A288382: 1 2 3 5 8 13 22 39 72 137 266 523 1036 2061 4110 8207
((if (2 - x) <= 0 then (x - 2) else 1) + x)
A300576: 1 2 2 4 6 8 10 12 14 16 18 20 22 24 26 28
((x * x) - (if (x mod 2) <= 0 then 1 else x))
A289296: ~1 0 3 6 15 20 35 42 63 72 99 110 143 156 195 210
(loop(\(x,i).((i * x) + 1),x,1) - x)
A243014: 1 1 3 13 61 321 1951 13693 109593 986401 9864091 108505101 1302061333 16926797473 236975164791 3554627472061
(loop(\(x,i).((i * x) + 1),x,1) * x)
A036918: 0 2 10 48 260 1630 11742 95900 876808 8877690 98641010 1193556232 15624736140 220048367318 3317652307270 53319412081140
(loop(\(x,i).((x * 2) * 2),x,1) + x)
A158879: 1 5 18 67 260 1029 4102 16391 65544 262153 1048586 4194315 16777228 67108877 268435470 1073741839
(loop(\(x,i).((x * 2) * 2),x,1) - x)
A024037: 1 3 14 61 252 1019 4090 16377 65528 262135 1048566 4194293 16777204 67108851 268435442 1073741809
loop(\(x,i).((x * 2) + 1),(x + 1),x)
A003261: 1 7 23 63 159 383 895 2047 4607 10239 22527 49151 106495 229375 491519 1048575
(loop(\(x,i).(x * x),2,(x + 1)) - x)
A269657: 1 15 79 253 621 1291 2395 4089 6553 9991 14631 20725 28549 38403 50611 65521
loop(\(x,i).(x * x),2,((x + 1) * x))
A248619: 0 16 1296 20736 160000 810000 3111696 9834496 26873856 65610000 146410000 303595776 592240896 1097199376 1944810000 3317760000
(loop(\(x,i).(x * 2),x,(x + 1)) - x)
A188545: 1 3 10
A048493: 1 3 10 29 76 187 442 1017 2296 5111 11254 24565 53236 114675 245746 524273
loop(\(x,i).((x * x) * x),(x + 1),x)
A323662: 0 1 134217728 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,(x + 1)) + x)
A030495: 1 3 8 27 124 725 5046 40327 362888 3628809 39916810 479001611 6227020812 87178291213 1307674368014 20922789888015
loop(\(x,i).((i * i) + x),(x + 1),x)
A131820: 1 6 16 33 59 96 146 211 293 394 516 661 831 1028 1254 1511
loop(\(x,i).((x * 2) * 2),(x - 1),x)
A002697: 0 1 8 48 256 1280 6144 28672 131072 589824 2621440 11534336 50331648 218103808 939524096 4026531840
loop(\(x,i).((2 + 1) * x),(x - 1),x)
A027471: 0 1 6 27 108 405 1458 5103 17496 59049 196830 649539 2125764 6908733 22320522 71744535
loop(\(x,i).((i + 2) * x),(x - 1),x)
A180119: 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 9153720576000 156920924160000
(((0 - 2) - 1) mod (if x <= 0 then 1 else x))
A229878: 0 0 1 0 1 2
(((2 + 2) + 1) * (if x <= 0 then 1 else x))
A242895: 5 5 10 15 20 25 30
((x mod (2 + 2)) mod (if x <= 0 then 1 else x))
A276335: 0 0 0 0 0 1 2 3 0 1 2 3 0 1 2 3
(((x mod 2) * 2) + (if x <= 0 then 1 else x))
A065190: 1 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17
(loop(\(x,i).((2 + 1) * x),x,1) + x)
A104743: 1 4 11 30 85 248 735 2194 6569 19692 59059 177158 531453 1594336 4782983 14348922
(loop(\(x,i).((2 + 1) * x),x,1) - x)
A024024: 1 2 7 24 77 238 723 2180 6553 19674 59039 177136 531429 1594310 4782955 14348892
loop(\(x,i).(x * 2),((x * x) - 1),x)
A134183: 0 1 16 768 131072 83886080 206158430208 1970324836974592 4611686018427387903 4611686018427387903 4611686018427387903
((if (x - (2 + 2)) <= 0 then 1 else 2) + x)
A272978-A132999-A129657-A129487-A097010-A080907: 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17
((if ((x div 2) - 2) <= 0 then 1 else 2) + x)
A327105-A298747-A129618-A049533-A038673: 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17
loop(\(x,i).(((x * x) * 2) - 1),2,x)
A144130: 1 1 97 577 1921 4801 10081 18817 32257 51841 79201 116161 164737 227137 305761 403201
loop(\(x,i).(x * 2),((x + 1) div 2),x)
A132314: 0 2 4 12 16 40 48 112 128 288 320 704 768 1664 1792 3840
loop(\(x,i).(x * 2),((x - 1) div 2),x)
A093968: 0 1 2 6 8 20 24 56 64 144 160 352 384 832 896 1920
loop(\(x,i).(((x * x) * x) - 1),2,x)
A178393: ~2 ~1 342 17575 250046 1906623 9938374 40001687 133432830 385828351 997002998 2352636999 5150827582 10590025535 20638466406 38409197623
(if ((x + 2) mod (2 + 2)) <= 0 then 2 else x)
A216972: 0 1 2 3 4 5 2 7 8 9 2 11 12 13 2 15
loop(\(x,i).i,(x - ((2 + 2) * 2)),x)
A053844-A053830-A025482: 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7
loop(\(x,i).((x * x) div (2 + 2)),2,x)
A059403: 0 0 0 1 4 9 20 36 64 100 156 225 324 441 600 784
loop(\(x,i).i,(((x div 2) - 2) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A257295-A113230-A004427: 0 1 2 3 4 5 6 7 8 9 1 1 2 2 3 3
(loop(\(x,i).((x * x) + 2),2,2) + x)
A341708: 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
(loop(\(x,i).((x * x) + 2),2,2) - x)
A022994: 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23
loop(\(x,i).(x - i),(x div (2 + 2)),x)
A244041: 0 1 2 3 3 4 5 6 5 6 7 8 6 7 8 9
loop(\(x,i).(((x + 1) * x) div 2),2,x)
A002817: 0 1 6 21 55 120 231 406 666 1035 1540 2211 3081 4186 5565 7260
loop(\(x,i).(((x - 1) * x) div 2),2,x)
A050534: 0 0 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460
loop(\(x,i).((x div 2) + (x * 2)),2,x)
A214067: 0 5 12 17 25 30 37 42 50 55 62 67 75 80 87 92
(loop(\(x,i).((x * 2) + 1),x,2) + x)
A275970: 2 6 13 26 51 100 197 390 775 1544 3081 6154 12299 24588 49165 98318
loop(\(x,i).(((x * 2) - 1) * x),2,x)
A063249: 0 1 66 435 1540 4005 8646 16471 28680 46665 72010 106491 152076 210925 285390 378015
loop(\(x,i).(((i + x) div 2) + x),2,x)
A174396: 1 4 5 8 10 13 14 17 19 22 23 26 28 31 32 35
loop(\(x,i).((i + 2) * x),(x + 2),x)
A034865: 0 60 720 7560 80640 907200 10886400 139708800 1916006400 28021593600 435891456000 7192209024000 125536739328000 2311968282624000 44816615940096000 912338253066240000
((if (x - 2) <= 0 then 1 else (x - 2)) + x)
A333183-A004278: 1 2 3 4 6 8 10 12 14 16 18 20 22 24 26 28
((if (x mod 2) <= 0 then 1 else (x * 2)) + x)
A294178: 1 3 3 9 5 15 7 21 9 27 11 33 13 39 15 45
loop(\(x,i).((x * 2) * 2),(x * 2),x)
A268147: 0 16 512 12288 262144 5242880 100663296 1879048192 34359738368 618475290624 10995116277760 193514046488576 3377699720527872 58546795155816448 1008806316530991104 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x * 2),x)
A158749: 0 9 162 2187 26244 295245 3188646 33480783 344373768 3486784401 34867844010 345191655699 3389154437772 33044255768277 320275094369454 3088366981419735
(if x <= 0 then 1 else ((2 - (x mod 2)) * x))
A257088: 1 1 4 3 8 5 12 7 16 9 20 11 24 13 28 15
loop(\(x,i).(x * 2),x,((x mod 2) + x))
A291938: 0 4 8 32 64 192 384 1024 2048 5120 10240 24576 49152 114688 229376 524288
(((x div 2) - 1) mod (if x <= 0 then 2 else x))
A286041: 1 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6
(1 - loop(\(x,i).((x * x) * x),2,x))
A024007: 1 0 ~511 ~19682 ~262143 ~1953124 ~10077695 ~40353606 ~134217727 ~387420488 ~999999999 ~2357947690 ~5159780351 ~10604499372 ~20661046783 ~38443359374
(1 - loop(\(x,i).((i - x) * x),2,x))
A058031: 1 1 9 49 169 441 961 1849 3249 5329 8281 12321 17689 24649 33489 44521
((if (x - 2) <= 0 then (2 + 1) else x) + x)
A299114: 3 4 5 6 8 10
loop(\(x,i).((x * 2) * (2 + 1)),x,x)
A036292: 0 6 72 648 5184 38880 279936 1959552 13436928 90699264 604661760 3990767616 26121388032 169789022208 1097098297344 7052774768640
loop(\(x,i).(x div ((x mod 2) + 1)),x,x)
A153733: 0 0 2 0 4 2 6 0 8 4 10 2 12 6 14 0
(loop(\(x,i).(x * 2),(x - 1),x) + x)
A215149: 0 2 6 15 36 85 198 455 1032 2313 5130 11275 24588 53261 114702 245775
loop(\(x,i).((i + x) + (x - 1)),x,x)
A058877: 0 2 9 28 75 186 441 1016 2295 5110 11253 24564 53235 114674 245745 524272
loop(\(x,i).(((x * 2) * 2) * 2),x,x)
A036294: 0 8 128 1536 16384 163840 1572864 14680064 134217728 1207959552 10737418240 94489280512 824633720832 7146825580544 61572651155456 527765581332480
(loop(\(x,i).(x * x),(2 + 2),x) * x)
A010805: 0 1 131072 129140163 17179869184 762939453125 16926659444736 232630513987207 2251799813685248 16677181699666569 100000000000000000 505447028499293771 2218611106740436992 4611686018427387903
loop(\(x,i).(((x + 1) * x) div 2),x,x)
A309009: 0 1 6 231
loop(\(x,i).(x div (2 - (x mod 2))),x,x)
A327539-A227140-A106617-A106609: 0 1 1 3 1 5 3 7 1 9 5 11 3 13 7 15
(loop(\(x,i).((x * x) * x),2,x) + x)
A196290: 0 2 514 19686 262148 1953130 10077702 40353614 134217736 387420498 1000000010 2357947702 5159780364 10604499386 20661046798 38443359390
(loop(\(x,i).((x * x) * x),2,x) - x)
A196289: 0 0 510 19680 262140 1953120 10077690 40353600 134217720 387420480 999999990 2357947680 5159780340 10604499360 20661046770 38443359360
(loop(\(x,i).((x * x) * x),2,x) * x)
A008454: 0 1 1024 59049 1048576 9765625 60466176 282475249 1073741824 3486784401 10000000000 25937424601 61917364224 137858491849 289254654976 576650390625
(loop(\(x,i).(x * 2),x,1) + (x * x))
A001580: 1 3 8 17 32 57 100 177 320 593 1124 2169 4240 8361 16580 32993
(loop(\(x,i).(x * 2),x,1) - (x * x))
A024012: 1 1 0 ~1 0 7 28 79 192 431 924 1927 3952 8023 16188 32543
(loop(\(x,i).(i * x),x,1) + (x * x))
A004664: 1 2 6 15 40 145 756 5089 40384 362961 3628900 39916921 479001744 6227020969 87178291396 1307674368225
(loop(\(x,i).(i * x),x,1) - (x * x))
A005008: 1 0 ~2 ~3 8 95 684 4991 40256 362799 3628700 39916679 479001456 6227020631 87178291004 1307674367775
loop(\(x,i).((x div 2) + x),2,(x * x))
A195042: 0 1 9 19 36 55 81 109 144 181 225 271 324 379 441 505
(1 - loop(\(x,i).(x * x),2,(x * x)))
A024006: 1 0 ~255 ~6560 ~65535 ~390624 ~1679615 ~5764800 ~16777215 ~43046720 ~99999999 ~214358880 ~429981695 ~815730720 ~1475789055 ~2562890624
loop(\(x,i).((x * x) * x),2,(x * x))
A010806: 0 1 262144 387420489 68719476736 3814697265625 101559956668416 1628413597910449 18014398509481984 150094635296999121 1000000000000000000 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),x,(x * x))
A128782: 0 4 64 576 4096 25600 147456 802816 4194304 21233664 104857600 507510784 2415919104 11341398016 52613349376 241591910400
(1 - loop(\(x,i).(x * 2),x,(x * x)))
A168298: 1 ~1 ~15 ~71 ~255 ~799 ~2303 ~6271 ~16383 ~41471 ~102399 ~247807 ~589823 ~1384447 ~3211263 ~7372799
loop(\(x,i).((2 + 1) * x),x,(x * x))
A127960: 0 3 36 243 1296 6075 26244 107163 419904 1594323 5904900 21434787 76527504 269440587 937461924 3228504075
(loop(\(x,i).(x * 2),x,x) * (x * x))
A128789: 0 2 32 216 1024 4000 13824 43904 131072 373248 1024000 2725888 7077888 17997824 44957696 110592000
(loop(\(x,i).(i * x),x,x) * (x * x))
A091363: 0 1 16 162 1536 15000 155520 1728720 20643840 264539520 3628800000 53129260800 827714764800 13680764697600 239217231052800 4413400992000000
loop(\(x,i).((i * i) + x),x,(x * x))
A101986: 0 2 9 23 46 80 127 189 268 366 485 627 794 988 1211 1465
loop(\(x,i).(((2 + 2) + 1) * x),x,x)
A036291: 0 5 50 375 2500 15625 93750 546875 3125000 17578125 97656250 537109375 2929687500 15869140625 85449218750 457763671875
(loop(\(x,i).(x * x),2,(x * x)) + x)
A196288: 0 2 258 6564 65540 390630 1679622 5764808 16777224 43046730 100000010 214358892 429981708 815730734 1475789070 2562890640
(loop(\(x,i).(x * x),2,(x * x)) - x)
A195859: 0 0 254 6558 65532 390620 1679610 5764794 16777208 43046712 99999990 214358870 429981684 815730708 1475789042 2562890610
loop(\(x,i).(x * x),2,((x * x) * x))
A008456: 0 1 4096 531441 16777216 244140625 2176782336 13841287201 68719476736 282429536481 1000000000000 3138428376721 8916100448256 23298085122481 56693912375296 129746337890625
loop(\(x,i).((x * x) * x),(x * x),x)
A276972-A250494-A250493-A030198: 0 1 4611686018427387903
A345296: 0 1 4611686018427387903 4611686018427387903
A338981-A338980: 0 1 4611686018427387903 4611686018427387903 4611686018427387903
A338983: 0 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A074194: 0 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * i) + x),x,x)
A168559: 0 4 13 29 54 90 139 203 284 384 505 649 818 1014 1239 1495
((x div ((x div (2 + 1)) + 1)) + 1)
A346153: 1 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3
(((x div 2) mod ((0 - 2) - 1)) + 1)
A103368: 1 1 ~1 ~1 0 0 1 1 ~1 ~1 0 0 1 1 ~1 ~1
(x - ((x div ((0 - 2) - 1)) - 1))
A260003-A183147-A122906-A074227-A005848: 1 3 4 5 7 8 9 11 12 13 15 16 17 19 20 21
((x div (((2 + 1) * 2) + 1)) + 1)
A280953-A279222-A279012-A187185-A133877: 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3
((x mod (((2 + 1) * 2) + 1)) + 1)
A010886: 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2
((x mod (((2 + 2) * 2) + 1)) + 1)
A342829-A177274-A131650-A128244-A114570: 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7
(((x + 1) div ((2 + 2) + 1)) + 1)
A235402-A184349: 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4
(((x * 2) div ((2 + 2) + 1)) + 1)
A302128-A173276: 1 1 1 2 2 3 3 3 4 4 5 5 5 6 6 7
(x - ((x div ((2 + 2) + 1)) - 1))
A003005: 1 2 3 4 5 5 6 7 8 9 9 10 11 12 13 13
((2 mod ((x div (2 + 2)) + 1)) + 1)
A303168-A032552: 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3
(((x mod (2 + 1)) * (2 + 1)) + 1)
A100402: 1 4 7 1 4 7 1 4 7 1 4 7 1 4 7 1
((((x div 2) + 1) div (2 + 1)) + 1)
A240567-A185679-A151982-A132085-A111654: 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3
((((x mod 2) + 1) * (2 + 1)) + 1)
A010712: 4 7 4 7 4 7 4 7 4 7 4 7 4 7 4 7
(x mod (((x + 1) mod (2 + 1)) + 1))
A286685: 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1
((((2 + 1) * 2) * (2 + 1)) + 1)
A057430-A010858: 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19
((((x + 1) * 2) * (2 + 1)) - 1)
A059538-A016969: 5 11 17 23 29 35 41 47 53 59 65 71 77 83 89 95
((((x + 1) div 2) * (2 + 1)) + 1)
A168233: 1 4 4 7 7 10 10 13 13 16 16 19 19 22 22 25
((((x + 1) div 2) div (2 + 1)) + 1)
A147583: 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3
((((2 + 2) * 2) * (2 + 1)) + 1)
A010864: 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25
((((2 + 2) * 2) * (2 + 1)) - 1)
A010862: 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23
(x - (((2 + 2) * (2 + 1)) + 1))
A023455: ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2
(x div (((2 + 2) * (2 + 1)) + 1))
A297042-A283763-A162781-A161319-A161305-A161292-A161267-A161253-A161239-A161115-A161102-A161089-A161076-A161063-A161050-A161038-A160984-A090620-A011727: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
(x - (((2 + 2) * (2 + 1)) - 1))
A023453: ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1 2 3 4
(x div (((2 + 2) * (2 + 1)) - 1))
A344420-A328499-A297040-A250100-A161317-A161303-A161290-A161265-A161251-A161237-A161113-A161100-A161087-A161074-A161061-A161048-A161036-A160982-A131981-A105390-A091195-A091194-A072375-A064458-A037808-A027198-A023973: 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1
(x mod (((2 + 2) * (2 + 1)) - 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A010880: 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4
((x mod ((2 + 2) * (2 + 1))) + 1)
A034326: 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4
((((x + 2) * 2) div (2 + 1)) + 1)
A177876: 2 3 3 4
A066481: 2 3 3 4 5 5 6 7 7 8 9 9 10 11 11 12
((((x * 2) * 2) * (2 + 1)) + 1)
A017533: 1 13 25 37 49 61 73 85 97 109 121 133 145 157 169 181
((((x mod 2) + 2) * (2 + 1)) + 1)
A010730: 7 10 7 10 7 10 7 10 7 10 7 10 7 10 7 10
((((x mod 2) + 2) * (2 + 1)) - 1)
A010719: 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5 8
((((x mod 2) * 2) * (2 + 1)) + 1)
A010688: 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7
(x - (((x * 2) mod (2 + 1)) - 1))
A236348: 1 0 2 4 3 5 7 6 8 10 9 11 13 12 14 16
(x - (((x div 2) div (2 + 1)) - 1))
A248148: 1 2 3 4 5 6 6 7 8 9 10 11 11 12 13 14
((((x * x) * 2) * (2 + 1)) - 1)
A140811: ~1 5 23 53 95 149 215 293 383 485 599 725 863 1013 1175 1349
((((2 + 1) * x) * (2 + 1)) + 1)
A326833-A017173: 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136
(x - (((1 - x) div (2 + 1)) - 1))
A329978-A329839-A249245-A184421-A059553: 1 2 4 5 6 8 9 10 12 13 14 16 17 18 20 21
(x - (((1 - x) mod (2 + 1)) - 1))
A064429: 0 2 1 3 5 4 6 8 7 9 11 10 12 14 13 15
((((x + 1) * x) * (2 + 1)) + 1)
A073859: 1 7 19 37 61
A003215: 1 7 19 37 61 91 127 169 217 271 331 397 469 547 631 721
((((x + 1) * x) * (2 + 1)) - 1)
A004538: ~1 5 17 35 59 89 125 167 215 269 329 395 467 545 629 719
((((x + 1) * x) div (2 + 1)) + 1)
A208994: 1 1 3 5 7 11 15 19 25 31 37 45 53 61 71 81
((((x + 2) * x) * (2 + 1)) + 1)
A100536: 1 10 25 46 73 106 145 190 241 298 361 430 505 586 673 766
((((x div 2) + x) * (2 + 1)) + 1)
A087444: 1 4 10 13 19 22 28 31 37 40 46 49 55 58 64 67
((((x mod 2) + x) * (2 + 1)) + 1)
A168301: 1 7 7 13 13 19 19 25 25 31 31 37 37 43 43 49
((((x mod 2) + x) div (2 + 1)) + 1)
A281687: 1 1 1 2 2 3 3 3 3 4 4 5 5 5 5 6
((((x mod 2) * x) div (2 + 1)) + 1)
A243554-A243546: 1 1 1 2 1 2 1 3 1 4
(((x * 2) - (x div (2 + 1))) + 1)
A329993-A329845-A064994: 1 3 5 6 8 10 11 13 15 16 18 20 21 23 25 26
(((2 + 2) - (x mod (2 + 1))) + 1)
A164360: 5 4 3 5 4 3 5 4 3 5 4 3 5 4 3 5
(((x * 2) - (x mod (2 + 1))) + 1)
A194381-A047245: 1 2 3 7 8 9 13 14 15 19 20 21 25 26 27 31
((x + 1) mod ((x mod (2 + 1)) + 1))
A286688-A285125: 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0
((x - 1) mod ((x mod (2 + 1)) + 1))
A214090: 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0
(1 - (2 mod ((x mod (2 + 1)) + 1)))
A131561: 1 1 ~1 1 1 ~1 1 1 ~1 1 1 ~1 1 1 ~1 1
((((x * x) * x) * (2 + 1)) - 1)
A345701: ~1 2 23 80 191 374 647 1028 1535 2186 2999 3992 5183 6590 8231 10124
((0 - (2 div ((x * 2) - 1))) - 1)
A260196: 1 ~3 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
((2 - (2 div ((x div 2) + 1))) + 1)
A300402-A214454: 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3
(((x div 2) div ((x mod 2) + 1)) + 1)
A106466: 1 1 2 1 3 2 4 2 5 3 6 3 7 4 8 4
(((x * x) div ((x mod 2) + 1)) + 1)
A228564: 1 1 5 5 17 13 37 25 65 41 101 61 145 85 197 113
((((2 + 2) + 1) * (x + 1)) + 1)
A140232: 6 11 16 21 26 31 36 41 46 51 56 61 66 71 76 81
((((x * x) + 1) * (x + 1)) + 1)
A188947: 2 5 16 41 86 157 260 401 586 821 1112 1465 1886 2381 2956 3617
((((x * x) - 1) * (x + 1)) - 1)
A214731: ~2 ~1 8 31 74 143 244 383 566 799 1088 1439 1858 2351 2924 3583
((((2 + 2) * 2) * (x + 1)) + 1)
A004768: 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129
((((2 + 2) * 2) * (x + 1)) - 1)
A017149-A004771: 7 15 23 31 39 47 55 63 71 79 87 95 103 111 119 127
((((x + 2) * 2) * (x + 1)) + 1)
A099776: 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545
((((x * 2) * 2) * (x + 1)) + 1)
A016754: 1 9 25 49 81 121 169 225 289 361 441 529 625 729 841 961
((((x * x) + 2) * (x + 1)) - 1)
A100705: 1 5 17 43 89 161 265 407 593 829 1121 1475 1897 2393 2969 3631
((((x + 1) * x) * (x + 1)) - 1)
A087908: ~1 3 17 47 99 179 293 447 647 899 1209 1583 2027 2547 3149 3839
((((x + 2) * x) * (x + 1)) - 1)
A126420: ~1 5 23 59 119 209 335 503 719 989 1319 1715 2183 2729 3359 4079
((((x - 2) * x) * (x + 1)) + 1)
A123972: 1 ~1 1 13 41 91 169 281 433 631 881 1189 1561 2003 2521 3121
((((x - 2) * x) * (x + 1)) - 1)
A153257: ~1 ~3 ~1 11 39 89 167 279 431 629 879 1187 1559 2001 2519 3119
((((x + 2) * 2) * (x - 1)) - 1)
A222182: ~5 ~1 7 19 35 55 79 107 139 175 215 259 307 359 415 475
(x div (((x - 2) * (x - 1)) + 1))
A236619: 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0
(x - (((x * 2) * (x - 1)) - 1))
A168244: 1 2 ~1 ~8 ~19 ~34 ~53 ~76 ~103 ~134 ~169 ~208 ~251 ~298 ~349 ~404
((((x + 2) * x) * (x - 1)) + 1)
A168297: 1 1 9 31 73 141 241 379 561 793 1081 1431 1849 2341 2913 3571
(x - (((x div 2) div (0 - 2)) - 1))
A184738: 1 2 4 5 6 7 9 10 11 12 14 15 16 17 19 20
(x - ((x div 2) div ((0 - 2) - 1)))
A047310: 0 1 3 4 5 6 7 8 10 11 12 13 14 15 17 18
((x + 2) - (x div ((0 - 2) - 1)))
A277676: 2 4 5 6 8 9 10 12 13 14 16 17 18 20 21 22
((x * 2) - (x div ((0 - 2) - 1)))
A047390: 0 3 5 7 10 12 14 17 19 21 24 26 28 31 33 35
((x div 2) - (x div ((0 - 2) - 1)))
A090168: 0 1 2 2 4 4 5 6 7 7 9 9 10 11 12 12
((x * 2) - (x mod ((0 - 2) - 1)))
A047258: 0 4 5 6 10 11 12 16 17 18 22 23 24 28 29 30
(((x * 2) - (x div (0 - 2))) + 1)
A231407: 1 4 6
A047209: 1 4 6 9 11 14 16 19 21 24 26 29 31 34 36 39
(((x mod 2) - (x div (0 - 2))) + 1)
A052938: 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10
(1 - (x div ((x div (0 - 2)) - 1)))
A156752: 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3
((x * x) - ((x div (0 - 2)) - 1))
A263511: 1 3 6 12 19 29 40 54 69 87 106 128 151 177 204 234
(x - (((x * x) div (0 - 2)) - 1))
A080827: 1 3 5 9 13 19 25 33 41 51 61 73 85 99 113 129
((((x div (2 + 1)) + 1) div 2) + 1)
A138194: 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4
((x mod (((2 + 2) + 1) * 2)) + 1)
A274206-A263131-A010889: 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6
(((x div ((2 + 2) + 1)) * 2) + 1)
A130497: 1 1 1 1 1 3 3 3 3 3 5 5 5 5 5 7
(((x mod ((2 + 2) + 1)) * 2) + 1)
A141518: 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1
(((((x + 2) + 2) + 1) * 2) + 1)
A277268-A171491: 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41
(((((x * 2) * 2) + 1) * 2) + 1)
A252802: 3 11 19
A017101: 3 11 19 27 35 43 51 59 67 75 83 91 99 107 115 123
(((((x div 2) * 2) + 1) * 2) + 1)
A168269: 3 3 7 7 11 11 15 15 19 19 23 23 27 27 31 31
(((((x mod 2) + 2) + 1) * 2) + 1)
A010729: 7 9 7 9 7 9 7 9 7 9 7 9 7 9 7 9
(((((x mod 2) * 2) + 1) * 2) + 1)
A010705: 3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7
((((x * 2) div (2 + 1)) * 2) + 1)
A168056: 1 1 3 5 5 7 9 9 11 13 13 15 17 17 19 21
((((x * 2) mod (2 + 1)) * 2) + 1)
A130794: 1 5 3 1 5 3 1 5 3 1 5 3 1 5 3 1
((((x div 2) mod (2 + 1)) mod 2) + 1)
A096285: 1 1 2 2 1 1 1 1 2 2 1 1 1 1 2 2
((x * 2) div (((2 + 1) * 2) + 1))
A172274-A060971-A057356: 0 0 0 0 1 1 1 2 2 2 2 3 3 3 4 4
((x div 2) div (((2 + 1) * 2) + 1))
A297043-A216038-A210717-A185274-A185236-A185227-A185063-A185036-A165656-A160985-A157242-A146167-A135297-A122669-A111897-A046786-A034412-A011728: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
(x - (x div (((2 + 1) * 2) + 1)))
A303789-A171970-A145569: 0 1 2 3 4 5 6 6 7 8 9 10 11 12 12 13
((x * x) div (((2 + 1) * 2) + 1))
A183140-A056834: 0 0 0 1 2 3 5 7 9 11 14 17 20 24 28 32
((x * x) mod (((2 + 1) * 2) + 1))
A053879: 0 1 4 2 2 4 1 0 1 4 2 2 4 1 0 1
(x div (((x div (2 + 1)) + 2) + 1))
A338732-A161106-A161067-A161041: 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 1
(x - (((x div (2 + 1)) * 2) - 1))
A194960: 1 2 3 2 3 4 3 4 5 4 5 6 5 6 7 6
(x - (((x mod (2 + 1)) mod 2) - 1))
A117571: 1 1 3 4 4 6 7 7 9 10 10 12 13 13 15 16
(((((x * x) * 2) + 1) * 2) + 1)
A222465: 3 7 19 39 67 103 147 199 259 327 403 487 579 679 787 903
(((((x + 1) * x) + 1) * 2) + 1)
A301894: 3 7 15 27
A097080: 3 7 15 27 43 63 87 115 147 183 223 267 315 367 423 483
(((((x div 2) + x) + 1) * 2) + 1)
A047270: 3 5 9 11 15 17 21 23 27 29 33 35 39 41 45 47
(((((x div 2) + x) + 1) div 2) + 1)
A083544: 1 2 3 3 4 5 6 6 7 8 9 9 10 11 12 12
((((x * x) * (x + 1)) div 2) + 1)
A100119: 1 2 7 19 41 76 127 197 289 406 551 727 937 1184 1471 1801
(1 - (x div (((0 - 2) - 2) - 1)))
A154099: 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4
(x - (x div (((0 - 2) - 2) - 1)))
A195122-A114024-A047248: 0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18
(((x - (x div (0 - 2))) * 2) + 1)
A322271: 1 5 7 11 13 17 19 23
A070191-A069040-A007310: 1 5 7 11 13 17 19 23 25 29 31 35 37 41 43 47
(((((2 + 2) + 1) * 2) * 2) + 1)
A010860: 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21
((((x div (2 + 1)) mod 2) * 2) + 1)
A130974: 1 1 1 3 3 3 1 1 1 3 3 3 1 1 1 3
(((((x * 2) + 1) * 2) * 2) + 1)
A004770: 5 13 21 29 37 45 53 61 69 77 85 93 101 109 117 125
(((((x div 2) - 1) div 2) div 2) + 1)
A071840-A071702: 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2
(((((x mod 2) + 1) * 2) * 2) + 1)
A010720: 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9
(((((x * x) - 1) div 2) div 2) + 1)
A004652: 0 1 1 3 4 7 9 13 16 21 25 31 36 43 49 57
(((x mod ((0 - 2) - 2)) div 2) + 1)
A219977: 1 ~1 0 0 1 ~1 0 0 1 ~1 0 0 1 ~1 0 0
((((x div (0 - 2)) mod 2) * 2) + 1)
A084101: 1 3 3 1 1 3 3 1 1 3 3 1 1 3 3 1
(((((x + 1) div 2) div 2) + 2) + 1)
A096056-A050501: 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7
(((((x + 1) div 2) div 2) div 2) + 1)
A318585: 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3
(((((x - 1) div 2) div 2) div 2) + 1)
A236362-A190311-A135660-A115338-A110656: 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2
(((((x - 1) div 2) mod 2) * 2) - 1)
A319117-A262725-A087960: 1 ~1 ~1 1 1 ~1 ~1 1 1 ~1 ~1 1 1 ~1 ~1 1
(((((2 + 2) * 2) * 2) * 2) - 1)
A010870-A009734: 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
(x - ((((2 + 2) * 2) * 2) + 1))
A023459: ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2
(x - ((((2 + 2) * 2) * 2) - 1))
A023457: ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0
(x div ((((2 + 2) * 2) * 2) - 1))
A337380-A324326-A321379-A297248-A297246-A297241-A297044-A295884-A284977-A280830-A236344-A236074-A219055-A216602-A216601-A167688-A160986-A157237-A111253-A105516-A101638-A101637-A085860-A082996-A070208-A070140-A070139-A065718-A036665-A034418-A034416-A034413-A014083-A011729: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
(x mod ((((2 + 2) * 2) * 2) - 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A167463: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0
(((x div ((2 + 2) * 2)) + 2) + 1)
A053388: 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
((((x mod (2 + 2)) * 2) * 2) + 1)
A070370: 1 5 9 13 1 5 9 13 1 5 9 13 1 5 9 13
(((((x * 2) * 2) * 2) * 2) + 1)
A158057: 1 17 33 49 65 81 97 113 129 145 161 177 193 209 225 241
(((((x div 2) mod 2) * 2) * 2) + 1)
A100285: 1 1 5 5 1 1 5 5 1 1 5 5 1 1 5 5
(((((x mod 2) + 2) + 2) + 2) + 1)
A010728: 7 8 7 8 7 8 7 8 7 8 7 8 7 8 7 8
(((((x mod 2) * 2) * 2) * 2) + 1)
A010690: 1 9 1 9 1 9 1 9 1 9 1 9 1 9 1 9
(2 - (x - (((2 + 2) * 2) + 1)))
A022967: 11 10 9 8 7 6 5 4 3 2 1 0 ~1 ~2 ~3 ~4
(x - (x div (((2 + 2) * 2) + 1)))
A245338: 0 1 2 3 4 5 6 7 8 8 9 10 11 12 13 14
((x * x) div (((2 + 2) * 2) + 1))
A056838: 0 0 0 1 1 2 4 5 7 9 11 13 16 18 21 25
((x * x) mod (((2 + 2) * 2) + 1))
A070433: 0 1 4 0 7 7 0 4 1 0 1 4 0 7 7 0
(x mod ((x div ((2 + 2) * 2)) + 1))
A053472-A035673: 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1
(x - ((x div ((2 + 2) * 2)) - 1))
A160755: 1 2 3 4 5 6 7 8 8 9 10 11 12 13 14 15
(x - ((x mod ((2 + 2) * 2)) - 1))
A291720-A290546: 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9
(x div (((x div (2 + 2)) + 2) + 1))
A067099: 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2
((x div ((x div (2 + 2)) + 2)) + 1)
A212625: 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 4
(x - (((x div (2 + 2)) * 2) - 1))
A235121: 1 2 3 4 3 4 5 6 5 6 7 8 7 8 9 10
(((1 - (x mod (2 + 2))) * 2) + 1)
A132429: 3 1 ~1 ~3 3 1 ~1 ~3 3 1 ~1 ~3 3 1 ~1 ~3
(x - (((x mod (2 + 2)) - 2) - 1))
A244584: 3 3 3 3 7 7 7 7 11 11 11 11 15 15 15 15
((((x * x) + (2 + 2)) + 2) + 1)
A117619: 7 8 11 16 23 32 43 56 71 88 107 128 151 176 203 232
((((x * x) + (2 + 2)) * 2) + 1)
A339048: 9 11 17 27 41 59 81 107 137 171 209 251 297 347 401 459
((((x * x) * (2 + 2)) * 2) + 1)
A081585: 1 9 33 73 129 201 289 393 513 649 801 969 1153 1353 1569 1801
(((x mod ((x mod 2) + 2)) div 2) + 1)
A334926-A334924-A325469-A300826-A245477-A226957-A108775-A106751-A074971-A050433-A043279: 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1
(((x mod ((x mod 2) + 2)) mod 2) + 1)
A031263: 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1
((x mod (((x mod 2) - 2) * 2)) + 1)
A011632: 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 1
A101455-A056594-A016245-A016213-A016141-A016117-A016077-A015981-A015933-A015901-A015813-A015757-A015637-A015621-A015573-A015517-A015373-A015301-A015285-A015205-A015021-A014997-A014893-A014845-A014757-A014581: 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0
(((((x * x) div 2) * 2) * 2) + 1)
A275543: 1 1 9 17 33 49 73 97 129 161 201 241 289 337 393 449
(((x * 2) + 1) * ((2 + 2) + 1))
A068528-A017329: 5 15 25 35 45 55 65 75 85 95 105 115 125 135 145 155
(((x * 2) + 1) div ((2 + 2) + 1))
A288156: 0 0 1 1 1 2 2 3 3 3 4 4 5 5 5 6
(((x div 2) + 1) * ((2 + 2) + 1))
A166598: 5 5 10 10 15 15 20 20 25 25 30 30 35 35 40 40
(((x div 2) + 1) mod ((2 + 2) + 1))
A084054: 1 1 2 2 3 3 4 4 0 0 1 1 2 2 3 3
(((x mod 2) + 1) * ((2 + 2) + 1))
A010721: 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10
(((x * x) + 1) div ((2 + 2) + 1))
A008738: 0 0 1 2 3 5 7 10 13 16 20 24 29 34 39 45
(((2 + 1) * 2) * ((2 + 2) + 1))
A056958-A010869: 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30
(((x + 1) * 2) * ((2 + 2) + 1))
A158814: 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160
(((x + 1) * 2) div ((2 + 2) + 1))
A029920: 0 0 1 1 2 2 2 3 3 4 4 4 5 5 6 6
(((x + 1) div 2) * ((2 + 2) + 1))
A168284: 0 5 5 10 10 15 15 20 20 25 25 30 30 35 35 40
(((x * 2) * 2) * ((2 + 2) + 1))
A008602: 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300
(((x * 2) * 2) div ((2 + 2) + 1))
A090223: 0 0 1 2 3 4 4 5 6 7 8 8 9 10 11 12
(((x div 2) * 2) div ((2 + 2) + 1))
A093354-A090621: 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2
(((x mod 2) * 2) * ((2 + 2) + 1))
A010681: 0 10 0 10 0 10 0 10 0 10 0 10 0 10 0 10
(x - ((x * 2) div ((2 + 2) + 1)))
A195119-A098294: 0 1 2 2 3 3 4 5 5 6 6 7 8 8 9 9
(x - ((x div 2) div ((2 + 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A324161-A245339-A081600-A028904: 0 1 2 3 4 5 6 7 8 9 9 10 11 12 13 14
(((x * x) * 2) * ((2 + 2) + 1))
A033583: 0 10 40 90 160 250 360 490 640 810 1000 1210 1440 1690 1960 2250
(((x * x) * 2) div ((2 + 2) + 1))
A033437: 0 0 1 3 6 10 14 19 25 32 40 48 57 67 78 90
(((x * x) div 2) div ((2 + 2) + 1))
A056865: 0 0 0 0 1 2 3 4 6 8 10 12 14 16 19 22
(((2 + 1) * x) * ((2 + 2) + 1))
A008597: 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225
(((2 + 1) * x) div ((2 + 2) + 1))
A057355: 0 0 1 1 2 3 3 4 4 5 6 6 7 7 8 9
(1 - ((1 - x) div ((2 + 2) + 1)))
A075249: 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4
(x - ((1 - x) div ((2 + 2) + 1)))
A047252-A039235: 0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18
(((x + 1) * x) + ((2 + 2) + 1))
A027690: 5 7 11 17 25 35 47 61 77 95 115 137 161 187 215 245
(((x + 1) * x) * ((2 + 2) + 1))
A124080: 0 10 30 60 100 150 210 280 360 450 550 660 780 910 1050 1200
(((x + 1) * x) mod ((2 + 2) + 1))
A053796: 0 2 1 2 0 0 2 1 2 0 0 2 1 2 0 0
(((x - 1) * x) div ((2 + 2) + 1))
A011858: 0 0 0 1 2 4 6 8 11 14 18 22 26 31 36 42
(x - ((2 - x) div ((2 + 2) + 1)))
A138083: 0 1 2 4 5 6
A160044-A047263-A039244: 0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18
(2 - ((2 - x) mod ((2 + 2) + 1)))
A117444: 0 1 2 ~2 ~1 0 1 2 ~2 ~1 0 1 2 ~2 ~1 0
(((x div 2) + x) div ((2 + 2) + 1))
A327440: 0 0 0 0 1 1 1 2 2 2 3 3 3 3 4 4
(((x mod 2) + x) * ((2 + 2) + 1))
A168461: 0 10 10 20 20 30 30 40 40 50 50 60 60 70 70 80
((x * 2) - (x mod ((2 + 2) + 1)))
A293292-A007091: 0 1 2 3 4 10 11 12 13 14 20 21 22 23 24 30
(((x * x) * x) + ((2 + 2) + 1))
A084381: 5 6 13 32 69 130 221 348 517 734 1005 1336 1733 2202 2749 3380
(((x * x) * x) * ((2 + 2) + 1))
A244725: 0 5 40 135 320 625 1080 1715 2560 3645 5000 6655 8640 10985 13720 16875
(((x * x) * x) mod ((2 + 2) + 1))
A070690-A070471: 0 1 3 2 4 0 1 3 2 4 0 1 3 2 4 0
(2 div (((1 - x) mod (2 + 2)) + 1))
A130731: 1 2 0 0 1 2 0 0 1 2 0 0 1 2 0 0
(x - (((2 - x) div (2 + 2)) - 1))
A242491-A062071: 1 2 3 5 6 7 8 10 11 12 13 15 16 17 18 20
((((x + 2) * x) * (2 + 2)) + 1)
A082109: 1 13 33 61 97 141 193 253 321 397 481 573 673 781 897 1021
((((x - 2) * x) div (2 + 2)) - 1)
A179272: ~1 ~2 ~1 ~1 1 2 5 7 11 14 19 23 29 34 41 47
((((x div 2) + x) * (2 + 2)) + 1)
A087445: 1 5 13 17 25 29 37 41 49 53 61 65 73 77 85 89
((((x div 2) + x) div (2 + 2)) + 1)
A341440: 1 1 1 2 2 2 3 3 4 4 4 5 5 5 6 6
((((x mod 2) + x) * (2 + 2)) + 1)
A168390: 1 9 9 17 17 25 25 33 33 41 41 49 49 57 57 65
((((x mod 2) * x) div (2 + 2)) + 1)
A340830: 1 1 1 1 1 2 1 2 1 3 1 3 1 4 1 4
(((x * 2) - (x div (2 + 2))) + 1)
A330117-A292648-A284366-A059546: 1 3 5 7 8 10 12 14 15 17 19 21 22 24 26 28
((0 - 2) mod ((x div (2 + 2)) + 1))
A208246-A072114: 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2
(1 - (2 mod ((x div (2 + 2)) + 1)))
A143622: 1 1 1 1 1 1 1 1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
(((x * 2) - (x mod (2 + 2))) + 1)
A047454: 1 2 3 4 9 10 11 12 17 18 19 20 25 26 27 28
(((((x + 1) * x) + 2) * 2) + 1)
A294774: 5 9 17 29 45 65 89 117 149 185 225 269 317 369 425 485
(((((x + 1) * x) div 2) + 2) + 1)
A152950: 3 4 6 9 13 18 24 31 39 48 58 69 81 94 108 123
(((((x + 1) * x) div 2) - 2) - 1)
A307681: ~3 ~2 0 3 7 12 18 25 33 42 52 63 75 88 102 117
(((((x - 1) * x) div 2) + 2) + 1)
A152949: 3 3 4 6 9 13 18 24 31 39 48 58 69 81 94 108
(((((x + 2) * x) div 2) * 2) + 1)
A085046: 1 3 9 15 25 35 49 63 81 99 121 143 169 195 225 255
((((x + 2) * (x + 2)) div 2) - 1)
A047838: 1 3 7 11 17 23 31 39 49 59 71 83 97 111 127 143
((x * x) div (((x + 2) + 2) + 1))
A127035: 0 0 0 1 1 2 3 4 4 5 6 7 8 9 10 11
((((x div 2) + (x * 2)) + 2) + 1)
A332102: 3 5 8 10 13 15 18 20 23 25 28 30 33 35 38 40
((((x div 2) + (x * 2)) * 2) + 1)
A137002: 1 5 11 15
A187715: 1 5 11 15 21 25 31 35 41 45 51 55 61 65 71 75
((((x mod 2) + (x * 2)) * 2) + 1)
A047522: 1 7 9 15 17 23 25 31 33 39 41 47 49 55 57 63
(((x - 1) div ((x div 2) + 2)) + 1)
A111972: 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2
(((x - 2) div ((x div 2) + 2)) + 1)
A000195: 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2
(((x * 2) - ((x div 2) mod 2)) + 1)
A047415: 1 3 4 6 9 11 12 14 17 19 20 22 25 27 28 30
((((x * x) + (x div 2)) * 2) + 1)
A317298: 1 3 11 21 37 55 79 105 137 171 211 253 301 351 407 465
((((x * x) + (x div 2)) div 2) - 1)
A082645: ~1 ~1 1 4 8 12 18 25 33 41 51 62 74 86 100 115
((x div ((2 - (x mod 2)) * 2)) + 1)
A178804: 1 1 1 2 2 3 2 4 3 5 3 6 4 7 4 8
((x mod ((2 - (x mod 2)) * 2)) + 1)
A068073: 1 2 3 2 1 2 3 2 1 2 3 2 1 2 3 2
((((x * 2) - (x mod 2)) + 2) + 1)
A154708: 3 4 7 8 11 12 15 16 19 20 23 24 27 28 31 32
((((x * 2) - (x mod 2)) * 2) + 1)
A047471: 1 3 9 11 17 19 25 27 33 35 41 43 49 51 57 59
((((x div 2) - (x mod 2)) div 2) + 1)
A008624: 1 0 1 1 2 1 2 2 3 2 3 3 4 3 4 4
(((x + 1) mod ((x mod 2) + 2)) - 1)
A134667: 0 1 0 0 0 ~1 0 1 0 0 0 ~1 0 1 0 0
(((x div 2) - ((x mod 2) * 2)) + 1)
A097065: 1 ~1 2 0 3 1 4 2 5 3 6 4 7 5 8 6
(((((x * x) * x) div 2) * 2) + 1)
A129957: 1 1 9 27 65 125 217 343 513 729 1001 1331 1729 2197 2745 3375
(((x div (2 + 1)) + 1) div (2 + 1))
A135663: 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2
(((x div (2 + 1)) + 1) mod (2 + 1))
A133873: 1 1 1 2 2 2 0 0 0 1 1 1 2 2 2 0
((((2 + 2) * 2) + 1) * (2 + 1))
A010866: 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27
((x mod ((2 + 2) + 1)) div (2 + 1))
A011658: 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0
((x mod ((2 + 2) + 1)) mod (2 + 1))
A119346: 0 1 2 0 1 0 1 2 0 1 0 1 2 0 1 0
((((x * 2) * 2) + 1) * (2 + 1))
A017557: 3 15 27 39 51 63 75 87 99 111 123 135 147 159 171 183
((((x div 2) * 2) + 1) * (2 + 1))
A168329: 3 3 9 9 15 15 21 21 27 27 33 33 39 39 45 45
((((x div 2) * 2) + 1) div (2 + 1))
A266193: 0 0 1 1 1 1 2 2 3 3 3 3 4 4 5 5
((((x mod 2) * 2) + 1) * (2 + 1))
A010707: 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9
(((x * 2) * (2 + 1)) * (2 + 1))
A008600-A004961: 0 18 36 54 72 90 108 126 144 162 180 198 216 234 252 270
(((x mod 2) * (2 + 1)) * (2 + 1))
A021015-A010680: 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9
((x - (x div (2 + 1))) mod (2 + 1))
A270740: 0 1 2 2 0 1 1 2 0 0 1 2 2 0 1 1
(((x * x) * (2 + 1)) * (2 + 1))
A016766: 0 9 36 81 144 225 324 441 576 729 900 1089 1296 1521 1764 2025
(x - (((x div 2) - 1) div (2 + 1)))
A157282: 1 2 2 3 4 5 6 7 7 8 9 10 11 12 12 13
((((x * x) * 2) + 1) * (2 + 1))
A097803: 3 9 27 57 99 153 219 297 387 489 603 729 867 1017 1179 1353
((((x * x) * 2) + 1) div (2 + 1))
A071619: 0 1 3 6 11 17 24 33 43 54 67 81 96 113 131 150
((((2 + 1) * x) + 1) * (2 + 1))
A017197: 3 12 21 30 39 48 57 66 75 84 93 102 111 120 129 138
((((x div 2) + x) + 1) * (2 + 1))
A070790-A016051: 3 6 12 15 21 24 30 33 39 42 48 51 57 60 66 69
(((x * 2) * (x + 1)) * (2 + 1))
A049598: 0 12 36 72 120 180 252 336 432 540 660 792 936 1092 1260 1440
(((x div 2) * (x + 1)) mod (2 + 1))
A285133: 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1
((x * 2) - ((x + 1) div (2 + 1)))
A047222: 0 2 3 5 7 8 10 12 13 15 17 18 20 22 23 25
((x div 2) - ((x + 1) div (2 + 1)))
A338336-A298783: 0 0 0 0 1 0 1 1 1 1 2 1 2 2 2 2
((x * 2) - ((x - 1) div (2 + 1)))
A032793: 1 2 4 6 7 9 11 12 14 16 17 19 21 22 24 26
((x div 2) - ((x - 1) div (2 + 1)))
A103221: 1 0 1 1 1 1 2 1 2 2 2 2 3 2 3 3
(x - (x div ((0 - 2) * (2 + 1))))
A047306: 0 2 3 4 5 6 7 9 10 11 12 13 14 16 17 18
(2 - ((x div (0 - 2)) * (2 + 1)))
A168199: 2 5 5 8 8 11 11 14 14 17 17 20 20 23 23 26
(x - ((x div (0 - 2)) * (2 + 1)))
A047208: 0 4 5 9 10 14 15 19 20 24 25 29 30 34 35 39
(x - (((2 + 1) * 2) * (2 + 1)))
A023460: ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3
(((x div (2 + 1)) + 2) div (2 + 1))
A097430: 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2
(((x div (2 + 1)) * 2) div (2 + 1))
A090618: 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 3
(((x mod (2 + 1)) div 2) * (2 + 1))
A021337: 0 0 3 0 0 3 0 0 3 0 0 3 0 0 3 0
((((x * 2) + 1) * 2) * (2 + 1))
A017593: 6 18 30 42 54 66 78 90 102 114 126 138 150 162 174 186
(1 - (((x + 1) div 2) div (2 + 1)))
A014064: 1 1 1 1 1 0 0 0 0 0 0 ~1 ~1 ~1 ~1 ~1
(x - (((x - 1) div 2) div (2 + 1)))
A210062: 1 1 2 3 4 5 6 6 7 8 9 10 11 11 12 13
(x - (((2 + 2) * 2) * (2 + 1)))
A023466: ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9
((((x * 2) * 2) * 2) * (2 + 1))
A008606: 0 24 48 72 96 120 144 168 192 216 240 264 288 312 336 360
((((x * 2) * 2) * 2) div (2 + 1))
A047618: 0 2 5 8 10 13 16 18 21 24 26 29 32 34 37 40
((((x div 2) + 2) * 2) div (2 + 1))
A109497: 1 1 2 2 2 2 3 3 4 4 4 4 5 5 6 6
(x - (1 - ((2 + 2) * (2 + 1))))
A178405: 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
((x - 2) - ((2 + 2) * (2 + 1)))
A023456: ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1 0 1
(1 - (x - ((2 + 2) * (2 + 1))))
A022969: 13 12 11 10 9 8 7 6 5 4 3 2 1 0 ~1 ~2
(2 - (x - ((2 + 2) * (2 + 1))))
A022970: 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 ~1
(x - (x div ((2 + 2) * (2 + 1))))
A103303: 0 1 2 3 4 5 6 7 8 9
A180613: 0 1 2 3 4 5 6 7 8 9 10 11 11 12 13 14
((x * x) div ((2 + 2) * (2 + 1)))
A274039-A008724-A005377: 0 0 0 0 1 2 3 4 5 6 8 10 12 14 16 18
((x * x) mod ((2 + 2) * (2 + 1)))
A070516-A070435: 0 1 4 9 4 1 0 1 4 9 4 1 0 1 4 9
(x - ((x div (2 + 2)) * (2 + 1)))
A276332-A276328-A053737: 0 1 2 3 1 2 3 4 2 3 4 5 3 4 5 6
(1 - ((x mod (2 + 2)) mod (2 + 1)))
A131379: 1 0 ~1 1 1 0 ~1 1 1 0 ~1 1 1 0 ~1 1
(((x * x) * (2 + 2)) * (2 + 1))
A135453: 0 12 48 108 192 300 432 588 768 972 1200 1452 1728 2028 2352 2700
(((x * x) * (2 + 2)) div (2 + 1))
A256320: 0 1 5 12 21 33 48 65 85 108 133 161 192 225 261 300
(((x * x) div (2 + 2)) * (2 + 1))
A242477: 0 0 3 6 12 18 27 36 48 60 75 90 108 126 147 168
((1 - ((x mod 2) * 2)) * (2 + 1))
A174971: 3 ~3 3 ~3 3 ~3 3 ~3 3 ~3 3 ~3 3 ~3 3 ~3
((((x * x) + 2) * 2) div (2 + 1))
A084672: 1 2 4 7 12 18 25 34 44 55 68 82 97 114 132 151
((((x * x) div 2) + 2) div (2 + 1))
A056829: 0 0 1 2 3 4 6 8 11 14 17 20 24 28 33 38
((((2 + 1) * x) + 2) * (2 + 1))
A017233: 6 15 24 33 42 51 60 69 78 87 96 105 114 123 132 141
((((x + 1) * x) div 2) * (2 + 1))
A045943: 0 3 9 18 30 45 63 84 108 135 165 198 234 273 315 360
((((x - 1) * x) div 2) div (2 + 1))
A130518-A062781: 0 0 0 1 2 3 5 7 9 12 15 18 22 26 30 35
(x - (((2 - x) div 2) div (2 + 1)))
A138083: 0 1 2 4 5 6
A308065-A047318: 0 1 2 4 5 6 7 8 9 11 12 13 14 15 16 18
((((x + 2) * x) div 2) mod (2 + 1))
A171182: 0 1 1 1 0 2 0 1 1 1 0 2 0 1 1 1
((((x mod 2) + x) + 2) div (2 + 1))
A123919: 0 1 1 2 2 2 2 3 3 4 4 4 4 5 5 6
((x * 2) - ((x - 2) div (2 + 1)))
A330066-A059535-A047206: 1 3 4 6 8 9 11 13 14 16 18 19 21 23 24 26
((x div 2) - ((x - 2) div (2 + 1)))
A320536: 1 1 1 1 2 1 2 2 2 2 3 2 3 3 3 3
(((x * x) * (x * 2)) * (2 + 1))
A244726: 0 6 48 162 384 750 1296 2058 3072 4374 6000 7986 10368 13182 16464 20250
(x - ((1 - (x div 2)) div (2 + 1)))
A047334-A032775-A029927: 0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 17
((x * 2) - ((x div 2) div (2 + 1)))
A214671: 0 2 4 6 8 10 11 13 15 17 19 21 22 24 26 28
(((x * x) + (x div 2)) div (2 + 1))
A171662: 0 0 1 3 6 9 13 17 22 28 35 42 50 58 67 77
((x div (2 - (x mod 2))) * (2 + 1))
A165351: 0 3 3 9 6 15 9 21 12 27 15 33 18 39 21 45
((x div (2 - (x mod 2))) mod (2 + 1))
A088689: 0 1 1 0 2 2 0 1 1 0 2 2 0 1 1 0
((((2 - x) * x) div 2) mod (2 + 1))
A300069: 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1
((1 - ((x * x) div 2)) mod (2 + 1))
A117447: 1 1 2 0 2 1 1 1 2 0 2 1 1 1 2 0
((((x * x) * x) + 2) div (2 + 1))
A088110: 0 1 3 9
A131477: 0 1 3 9 22 42 72 115 171 243 334 444 576 733 915 1125
((((2 + 2) + 1) * x) + (2 + 1))
A016885: 3 8 13 18 23 28 33 38 43 48 53 58 63 68 73 78
(((x div (2 + 1)) + x) * (2 + 1))
A319451: 0 3 6 12 15 18 24 27 30 36 39 42 48 51 54 60
(((x div (2 + 1)) + x) mod (2 + 1))
A327306-A159955: 0 1 2 1 2 0 2 0 1 0 1 2 1 2 0 2
((((x + 2) + 1) * x) * (2 + 1))
A277978: 0 12 30 54 84 120 162 210 264 324 390 462 540 624 714 810
((((x * 2) + 1) * x) * (2 + 1))
A195319: 0 9 30 63 108 165 234 315 408 513 630 759 900 1053 1218 1395
((((x * 2) - 1) * x) * (2 + 1))
A094159: 0 3 18 45 84 135 198 273 360 459 570 693 828 975 1134 1305
((((x div 2) + 1) * x) mod (2 + 1))
A095130: 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0
((x * 2) - ((1 - x) div (2 + 1)))
A047386: 0 2 5 7 9 12 14 16 19 21 23 26 28 30 33 35
(1 - (((x + 1) * x) mod (2 + 1)))
A257075: 1 ~1 1 1 ~1 1 1 ~1 1 1 ~1 1 1 ~1 1 1
((((x * x) + 1) * x) * (2 + 1))
A119536: 0 6 30 90 204 390 666 1050 1560 2214 3030 4026 5220 6630 8274 10170
((((x - 1) div 2) * x) div (2 + 1))
A182079: 0 0 0 1 1 3 4 7 8 12 13 18 20 26 28 35
(((x div (2 + 2)) + x) div (2 + 1))
A336861-A121830-A114540: 0 0 0 1 1 2 2 2 3 3 4 4 5 5 5 6
((((x + 2) + 2) * x) div (2 + 1))
A071408: 0 1 4 7 10 15 20 25 32 39 46 55 64 73 84 95
(((2 - (x mod 2)) * x) * (2 + 1))
A165988: 0 3 12 9 24 15 36 21 48 27 60 33 72 39 84 45
(x - (((x mod 2) - x) * (2 + 1)))
A047393: 0 1 8 9 16 17 24 25 32 33 40 41 48 49 56 57
(1 - (((x mod 2) - x) div (2 + 1)))
A285507: 1 1 2 2 3 3 3 3 4 4 5 5 5 5 6 6
(x - (((x mod 2) - x) div (2 + 1)))
A047517: 0 1 3 4 6 7 8 9 11 12 14 15 16 17 19 20
((((x * x) + 2) * x) div (2 + 1))
A006527: 0 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135
((x div (2 + 1)) * (x div (2 + 1)))
A211547: 0 0 0 1 1 1 4 4 4 9 9 9 16 16 16 25
((x mod (2 + 1)) * (x div (2 + 1)))
A115273: 0 0 0 0 1 2 0 2 4 0 3 6 0 4 8 0
(((x * 2) + 1) + (x div (2 + 1)))
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A047391: 1 3 5 8 10 12 15 17 19 22 24 26 29 31 33 36
(((x div 2) + 1) + (x div (2 + 1)))
A063208: 1 1 2 3 4 4 6 6 7 8 9 9 11 11 12 13
(((x + 1) * 2) + (x div (2 + 1)))
A184978: 2 4 6 9 11
A330118-A292649-A189930-A061785-A047292: 2 4 6 9 11 13 16 18 20 23 25 27 30 32 34 37
(((x + 1) div 2) + (x div (2 + 1)))
A063197: 0 1 1 3 3 4 5 6 6 8 8 9 10 11 11 13
(((x + 1) div 2) - (x div (2 + 1)))
A011960: 0 1 1 1 1 2 1 2 2 2 2 3 2 3 3 3
(((x + 1) mod 2) + (x div (2 + 1)))
A051274: 1 0 1 1 2 1 3 2 3 3 4 3 5 4 5 5
(((x div 2) + 2) + (x div (2 + 1)))
A242774: 2 2 3 4 5 5 7 7 8 9 10 10 12 12 13 14
(((2 + 1) * x) - (x div (2 + 1)))
A198084-A047399: 0 3 6 8 11 14 16 19 22 24 27 30 32 35 38 40
(((x div 2) * x) * (x div (2 + 1)))
A213033: 0 0 0 3 8 10 36 42 64 108 150 165 288 312 392 525
(((x * x) * x) - (x div (2 + 1)))
A002901: 0 1 8 26 63 124 214 341 510 726 997 1328 1724 2193 2740 3370
(((x + 1) * 2) - (x mod (2 + 1)))
A047228: 2 3 4 8 9 10 14 15 16 20 21 22 26 27 28 32
(((2 + 1) * x) + (x mod (2 + 1)))
A140282: 0 4 8 9 13 17 18 22 26 27 31 35 36 40 44 45
(((x - 1) * x) + (x mod (2 + 1)))
A028444: 0 1 4 6 13
(2 - (((1 - x) * x) * (2 + 1)))
A242658: 2 2 8 20 38 62 92 128 170 218 272 332 398 470 548 632
((2 mod (2 - (x * x))) mod (2 + 1))
A163581-A144603-A100283: 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1
(1 - (x - ((x * x) * (2 + 1))))
A056106: 1 3 11 25 45 71 103 141 185 235 291 353 421 495 575 661
((x * 2) - ((x * x) mod (2 + 1)))
A047242: 0 1 3 6 7 9 12 13 15 18 19 21 24 25 27 30
(((x * x) * (x * x)) * (2 + 1))
A219056: 0 3 48 243 768 1875 3888 7203 12288 19683 30000 43923 62208 85683 115248 151875
(((((2 + 2) + 1) * x) * 2) + 1)
A017281: 1 11 21 31 41 51 61 71 81 91 101 111 121 131 141 151
((((x div (2 + 1)) + x) * 2) + 1)
A047623: 1 3 5 9 11 13 17 19 21 25 27 29 33 35 37 41
(((((x + 2) + 1) * x) * 2) + 1)
A059993: 1 9 21 37 57 81 109 141 177 217 261 309 361 417 477 541
(((((x * 2) + 1) * x) * 2) + 1)
A054569: 1 7 21 43 73 111 157 211 273 343 421 507 601 703 813 931
(((((x * 2) + 1) * x) * 2) - 1)
A125202: ~1 5 19 41 71 109 155 209 271 341 419 505 599 701 811 929
(((((x * 2) - 1) * x) * 2) + 1)
A318165: 1 3 13
A054554: 1 3 13 31 57 91 133 183 241 307 381 463 553 651 757 871
(x - (x mod (((1 - x) * 2) + 1)))
A338923-A004274: 0 1 2 3 5 7 9 11 13 15 17 19 21 23 25 27
(x - (x div (((1 - x) div 2) - 1)))
A258022: 0 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17
((((x div (2 + 2)) + x) div 2) + 1)
A020915: 1 1 2 2 3 4 4 5 6 6 7 7 8 9 9 10
((((x div (2 + 2)) * x) mod 2) + 1)
A227195: 1 1 1 1 1 2 1 2 1 1 1 1 1 2 1 2
(((((x + 2) + 2) * x) * 2) + 1)
A161532: 1 11 25 43 65 91 121 155 193 235 281 331 385 443 505 571
(((((x mod 2) + 2) * x) div 2) + 1)
A063914: 1 2 3 5 5 8 7 11 9 14 11 17 13 20 15 23
((((2 - (x mod 2)) * x) * 2) + 1)
A178414: 1 3 9 7 17 11 25 15 33 19 41 23 49 27 57 31
(x - ((((x mod 2) - x) * 2) - 1))
A047239: 1 2 7 8 13 14 19 20 25 26 31 32 37 38 43 44
((((x div 2) + 1) * (x + 2)) - 1)
A079326: 1 2 7 9 17 20 31 35 49 54 71 77 97 104 127 135
(((2 - (x div 2)) div (x + 2)) + 1)
A218245: 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0
(((x * 2) + 1) * ((x + 2) + 1))
A071355: 3 12 25 42 63 88 117 150 187 228 273 322 375 432 493 558
(((x * 2) * 2) * ((x + 2) + 1))
A332519: 0 16 40 72 112 160 216 280 352 432 520 616 720 832 952 1080
(((x * 2) * 2) div ((x + 2) + 1))
A286103-A080342: 0 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3
(((2 + 1) * x) div ((x + 2) + 1))
A098391: 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2
(((x + 1) * x) * ((x + 2) + 1))
A317637: 0 8 30 72 140 240 378 560 792 1080 1430 1848 2340 2912 3570 4320
(x - ((x * x) div ((x + 2) + 1)))
A004233: 0 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3
((((x + 2) * x) * (x + 2)) + 1)
A081437: 1 10 33 76 145 246 385 568 801 1090 1441 1860 2353 2926 3585 4336
(x - ((2 mod (1 - (x * 2))) - 1))
A033627: 1 2 4 7 10 13 16 19 22 25 28 31 34 37 40 43
(((x div (2 + 2)) + (x * 2)) + 1)
A190511: 1 3 5 7 10 12 14 16 19 21 23 25 28 30 32 34
(((x div 2) + 1) * ((x * 2) + 1))
A188545: 1 3 10
A245524: 1 3 10 14 27 33 52 60 85 95 126 138 175 189 232 248
(((x + 1) div 2) * ((x * 2) + 1))
A074378: 0 3 5 14 18 33 39 60 68 95 105 138 150 189 203 248
(((2 + 2) * 2) * ((x * 2) + 1))
A051062: 8 24 40 56 72 88 104 120 136 152 168 184 200 216 232 248
(((x * 2) * 2) * ((x * 2) + 1))
A033586: 0 12 40 84 144 220 312 420 544 684 840 1012 1200 1404 1624 1860
((2 - (x mod 2)) * ((x * 2) + 1))
A123167: 2 3 10 7 18 11 26 15 34 19 42 23 50 27 58 31
(((x + 1) * x) * ((x * 2) + 1))
A055112: 0 6 30 84 180 330 546 840 1224 1710 2310 3036 3900 4914 6090 7440
(((x + 1) * x) mod ((x * 2) + 1))
A076937-A014682: 0 2 1 5 2 8 3 11 4 14 5 17 6 20 7 23
(((x div 2) + x) + ((x * 2) + 1))
A047346: 1 4 8 11 15 18 22 25 29 32 36 39 43 46 50 53
(((x mod 2) + x) * ((x * 2) + 1))
A014494: 0 6 10 28 36 66 78 120 136 190 210 276 300 378 406 496
(((x * x) * x) div ((x * 2) + 1))
A082644: 0 0 1 3 7 11 16 22 30 38 47 57 69 81 94 108
(((x * 2) * 2) * ((x * 2) - 1))
A085250: 0 4 24 60 112 180 264 364 480 612 760 924 1104 1300 1512 1740
(((2 mod (x + 1)) + (x div 2)) + 1)
A003869: 1 1 4 4 5 5 6
((((x * 2) * 2) - (x div 2)) + 1)
A047383: 1 5 8 12 15 19 22 26 29 33 36 40 43 47 50 54
((((x * x) div 2) + (x div 2)) + 1)
A084263: 1 1 4 6 11 15 22 28 37 45 56 66 79 91 106 120
(((x mod 2) + 2) * ((x div 2) + 1))
A195013: 2 3 4 6 6 9 8 12 10 15 12 18 14 21 16 24
((x + 2) - (2 div ((x div 2) + 1)))
A078923: 0 1 3 4 6 7 8 9 10 11 12 13 14 15 16 17
(2 - ((1 - x) div ((x div 2) + 1)))
A130193-A084526-A084516: 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4
(((x + 2) * x) + ((x div 2) + 1))
A213398: 1 4 10 17 27 38 52 67 85 104 126 149 175 202 232 263
(((x mod 2) * x) + ((x div 2) + 1))
A266981: 1 2 2 5 3 8 4 11 5 14 6 17 7 20 8 23
((((2 + 2) * 2) + (x mod 2)) + 1)
A010735: 9 10 9 10 9 10 9 10 9 10 9 10 9 10 9 10
((((x * 2) * 2) + (x mod 2)) + 1)
A047452: 1 6 9 14 17 22 25 30 33 38 41 46 49 54 57 62
((((x * 2) * 2) - (x mod 2)) + 1)
A047461: 1 4 9 12 17 20 25 28 33 36 41 44 49 52 57 60
((((x * x) div 2) - (x mod 2)) + 1)
A097063: 1 0 3 4 9 12 19 24 33 40 51 60 73 84 99 112
(((x + 2) * x) + ((x mod 2) + 1))
A080335: 1 5 9 17 25 37 49 65 81 101 121 145 169 197 225 257
(((x + 1) * x) - ((x mod 2) - 1))
A213041: 1 2 7 12 21 30 43 56 73 90 111 132 157 182 211 240
(((x + 2) * x) + ((x mod 2) - 1))
A181106: ~1 3 7 15 23 35 47 63 79 99 119 143 167 195 223 255
(x - (((2 - (x * x)) * 2) + 1))
A100040: ~5 ~2 5 16 31 50 73 100 131 166 205 248 295 346 401 460
((((x * x) * (x * x)) div 2) + 1)
A274323: 1 1 9 41 129 313 649 1201 2049 3281 5001 7321 10369 14281 19209 25313
(((((2 + 1) * 2) + 1) * x) + 1)
A079043-A016993: 1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 106
(((x div ((2 + 2) + 1)) + x) + 1)
A320340-A248910-A232741-A228869-A204878-A194386-A187390-A184522-A136447-A108586-A108120-A098901-A098767-A094520-A088725-A051772-A049093-A047253-A039215-A037918-A031943-A005100: 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17 19
(((((x + 2) + 2) + 1) * x) + 1)
A082111: 1 7 15 25 37 51 67 85 105 127 151 177 205 235 267 301
(((((x * 2) * 2) + 1) * x) + 1)
A054567: 1 6 19 40 69 106 151 204 265 334 411 496 589 690 799 916
(((((x * 2) * 2) + 1) * x) - 1)
A182868: ~1 4 17 38 67 104 149 202 263 332 409 494 587 688 797 914
(((((x * 2) * 2) - 1) * x) + 1)
A054556: 1 4 15 34 61 96 139 190 249 316 391 474 565 664 771 886
(((((x * 2) * 2) - 1) * x) - 1)
A185950: ~1 2 13 32 59 94 137 188 247 314 389 472 563 662 769 884
((((x div 2) * (2 + 1)) + x) + 1)
A047216: 1 2 6 7 11 12 16 17 21 22 26 27 31 32 36 37
((((x div 2) div (2 + 1)) + x) + 1)
A332107-A302478-A286997-A267305-A187396-A047304-A020658: 1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18
((((x * x) + (2 + 1)) * x) + 1)
A005491: 1 5 15 37 77 141 235 365 537 757 1031 1365 1765 2237 2787 3421
((((x * x) * (2 + 1)) + x) + 1)
A056108: 1 5 15 31 53 81 115 155 201 253 311 375 445 521 603 691
((((x * x) div (2 + 1)) + x) + 1)
A022339-A007980: 1 2 4 7 10 14 19 24 30 37 44 52 61 70 80 91
(((((x + 1) * x) - 1) * x) + 1)
A100109: 1 2 11 34 77 146 247 386 569 802 1091 1442 1861 2354 2927 3586
(((((x - 1) * x) - 1) * x) - 1)
A083074: ~1 ~2 1 14 43 94 173 286 439 638 889 1198 1571 2014 2533 3134
((((x div (2 + 1)) * 2) + x) + 1)
A047223: 1 2 3 6 7 8 11 12 13 16 17 18 21 22 23 26
((((x mod (2 + 1)) mod 2) + x) + 1)
A092200: 1 3 3 4 6 6 7 9 9 10 12 12 13 15 15 16
((((2 div (x + 1)) + 2) * x) + 1)
A223134: 1 4 5 7 9 11 13 15 17 19 21 23 25 27 29 31
(((((x * x) + 1) div 2) * x) + 1)
A309115: 1 2 5 16
((((x div (0 - 2)) mod 2) + x) + 1)
A098181: 1 3 4 4 5 7 8 8 9 11 12 12 13 15 16 16
(((((2 + 2) * 2) * 2) - x) + 1)
A022973: 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2
(((((2 + 2) * 2) * 2) - x) - 1)
A022971-A004456: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
(((x div ((2 + 2) * 2)) + x) + 1)
A331682-A328335-A327534-A325389-A317492-A316502-A316495-A306202-A265999-A255808-A194151-A168183-A122132-A107037-A088481-A037479-A036741-A032897-A032856-A031980-A020662: 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17
((((x div (2 + 2)) * 2) + x) + 1)
A047227-A031477: 1 2 3 4 7 8 9 10 13 14 15 16 19 20 21 22
(((((x + 2) + 2) + 2) * x) + 1)
A028884: 1 8 17 28 41 56 73 92 113 136 161 188 217 248 281 316
((((x * x) div (2 + 2)) + x) + 1)
A231408: 1 2 4 6 9
A087811-A025699: 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72
(((((2 + 1) * x) + 2) * x) + 1)
A056109: 1 6 17 34 57 86 121 162 209 262 321 386 457 534 617 706
(((((2 + 1) * x) + 2) * x) - 1)
A270710: ~1 4 15 32 55 84 119 160 207 260 319 384 455 532 615 704
(((((2 + 1) * x) - 2) * x) + 1)
A056105: 1 2 9 22 41 66 97 134 177 226 281 342 409 482 561 646
(((((x + 2) * x) + 2) * x) + 1)
A069778: 1 6 21 52 105 186 301 456 657 910 1221 1596 2041 2562 3165 3856
(((((x div 2) + x) div 2) + x) + 1)
A184638-A047294: 1 2 4 6 8 9 11 13 15 16 18 20 22 23 25 27
(((((x mod 2) + x) * 2) + x) + 1)
A011990: 1 6 7 12
((0 - x) mod (((x div 2) * x) + 1))
A334320: 0 0 1 1 5 6 13 15 25 28 41 45 61 66 85 91
((((x * 2) - (x mod 2)) * x) + 1)
A083783: 1 2 9 16
(1 - (1 mod (((x mod 2) - x) + 1)))
A267458: 1 1 1 1 3 3 5 5 7 7 9 9 11 11 13 13
((x div ((0 - 2) - 1)) mod (x + 1))
A121928: 0 1 2 3 3 4 5 5 6 7 7 8 9 9 10 11
((((2 + 1) * 2) + 1) * (x + 1))
A182341: 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112
((((2 + 1) * 2) + 1) div (x + 1))
A033327: 7 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0
((((x + 1) div 2) + 1) * (x + 1))
A231407: 1 4 6
A265225: 1 4 6 12 15 24 28 40 45 60 66 84 91 112 120 144
((((2 + 2) * 2) + 1) div (x + 1))
A033329: 9 4 3 2 1 1 1 1 1 0 0 0 0 0 0 0
((x div ((2 + 2) + 1)) * (x + 1))
A108613: 0 0 0 0 0 6 7 8 9 10 22 24 26 28 30 48
((((x div 2) * 2) + 1) * (x + 1))
A183207: 1 2 9 12 25 30 49 56 81 90 121 132 169 182 225 240
((((x mod 2) * 2) + 1) * (x + 1))
A165998: 1 6 3 12 5 18 7 24 9 30 11 36 13 42 15 48
(((2 + 2) * (2 + 1)) div (x + 1))
A033332: 12 6 4 3 2 2 1 1 1 1 1 1 0 0 0 0
(((x + 2) div (2 + 1)) * (x + 1))
A229593: 0 2 3 4 10 12 14 24 27 30 44 48 52 70 75 80
(((2 - (x mod 2)) + 1) * (x + 1))
A106833: 3 4 9 8 15 12 21 16 27 20 33 24 39 28 45 32
((((x * x) * 2) + 1) div (x + 1))
A092535: 1 1 3 4 6 8 10 12 14 16 18 20 22 24 26 28
((((x div 2) + x) + 1) * (x + 1))
A319259: 1 4 12 20
((((x mod 2) + x) + 1) * (x + 1))
A011988: 1 6 9 20
((((x mod 2) + x) - 1) * (x + 1))
A289870: ~1 2 3 12 15 30 35 56 63 90 99 132 143 182 195 240
(((x * 2) * (x + 1)) * (x + 1))
A035006: 0 8 36 96 200 360 588 896 1296 1800 2420 3168 4056 5096 6300 7680
(((x div 2) * (x + 1)) * (x + 1))
A303692: 0 0 9 16 50 72 147 192 324 400 605 720 1014 1176 1575 1792
(((x * x) * (x + 1)) * (x + 1))
A035287: 0 4 36 144 400 900 1764 3136 5184 8100 12100 17424 24336 33124 44100 57600
((((2 + 2) + 1) * 2) div (x + 1))
A033330: 10 5 3 2 2 1 1 1 1 1 0 0 0 0 0 0
((((2 + 2) + 1) * 2) mod (x + 1))
A324471: 0 0 1 2 0 4 3 2 1 0 10 10 10 10 10 10
((x div ((0 - 2) - 2)) mod (x + 1))
A195180-A195172: 0 1 2 3 4 4 5 6 7 7 8 9 10 10 11 12
((((x + 1) div 2) div 2) * (x + 1))
A233035: 0 0 0 4 5 6 7 16 18 20 22 36 39 42 45 64
((((2 + 2) * 2) * 2) * (x + 1))
A044061: 16 32 48 64 80 96 112 128 144 160 176 192 208 224 240 256
((((2 + 2) * 2) * 2) div (x + 1))
A033336: 16 8 5 4 3 2 2 2 1 1 1 1 1 1 1 1
((((x + 2) + 2) + 2) * (x + 1))
A104675: 6 14 24 36 50 66 84 104 126 150 176 204 234 266 300 336
((((x + 2) * 2) * 2) div (x + 1))
A202258: 8 6 5 5 4
((((x * 2) * 2) * 2) * (x + 1))
A035008: 0 16 48 96 160 240 336 448 576 720 880 1056 1248 1456 1680 1920
(((x + 1) mod (2 + 2)) mod (x + 1))
A049804: 0 0 0 0 1 2 3 0 1 2 3 0 1 2 3 0
(1 - (((x * 2) * 2) * (x + 1)))
A184882: 1 ~7 ~23 ~47 ~79 ~119 ~167 ~223 ~287 ~359 ~439 ~527 ~623 ~727 ~839 ~959
(2 - (((x div 2) - 2) div (x + 1)))
A171627: 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2
(((x mod 2) + x) + (2 mod (x + 1)))
A267460: 0 2 4 6 6 8 8 10 10 12 12 14 14 16 16 18
((((x + 1) * x) div 2) * (x + 1))
A006002: 0 2 9 24 50 90 147 224 324 450 605 792 1014 1274 1575 1920
((((x mod 2) + x) + 2) * (x + 1))
A013654: 2 8 12 24 30 48 56 80 90 120 132 168 182 224 240 288
(((x + 2) * (x + 2)) * (x + 1))
A114364: 4 18 48 100 180 294 448 648 900 1210 1584 2028 2548 3150 3840 4624
(((x * x) * (x + 2)) * (x + 1))
A047927: 0 6 48 180 480 1050 2016 3528 5760 8910 13200 18876 26208 35490 47040 61200
((((x * x) + 1) * x) * (x + 1))
A027445: 0 4 30 120 340 780 1554 2800 4680 7380 11110 16104 22620 30940 41370 54240
(((2 - (x mod 2)) * x) * (x + 1))
A045895: 0 2 12 12 40 30 84 56 144 90 220 132 312 182 420 240
(((x * x) * (x * x)) * (x + 1))
A101362: 0 2 48 324 1280 3750 9072 19208 36864 65610 110000 175692 269568 399854 576240 810000
((((x * x) * x) - 1) * (x - 1))
A138849: 1 0 7 52 189 496 1075 2052 3577 5824 8991 13300 18997 26352 35659 47236
(x - ((x div (0 - 2)) * (x - 1)))
A222010: 0 1 3 7
A128223: 0 1 3 7 10 17 21 31 36 49 55 71 78 97 105 127
((((x - 2) * x) * 2) * (x - 1))
A280058: 0 0 0 12 48 120 240 420 672 1008 1440 1980 2640 3432 4368 5460
((x * x) - ((x mod 2) * (x - 1)))
A325657: 0 1 4 7 16 21 36 43 64 73 100 111 144 157 196 211
(x - (((2 - x) * x) * (x - 1)))
A001093: 0 1 2 9 28 65 126 217 344 513 730 1001 1332 1729 2198 2745
(((x * x) * (x * x)) * (x - 1))
A085538: 0 0 16 162 768 2500 6480 14406 28672 52488 90000 146410 228096 342732 499408 708750
(((((2 + 2) + 1) * x) * x) + 1)
A212656: 1 6 21 46 81 126 181 246 321 406 501 606 721 846 981 1126
(1 - (2 mod (((1 - x) * x) + 1)))
A276272: 1 1 1 4 10
(((((x * x) + 1) * x) * x) + 1)
A059826: 1 3 21 91 273 651 1333 2451 4161 6643 10101 14763 20881 28731 38613 50851
(((((x * x) - 1) * x) * x) + 1)
A060886: 1 1 13 73 241 601 1261 2353 4033 6481 9901 14521 20593 28393 38221 50401
(((((x mod 2) * 2) + x) * x) + 1)
A081345: 1 4 5 16 17 36 37 64 65 100 101 144 145 196 197 256
(((((x * x) + 2) * x) * x) + 1)
A082044: 1 4 25 100 289 676 1369 2500 4225 6724 10201 14884 21025 28900 38809 51076
((((2 + 2) * 2) + (x * x)) + 1)
A189834: 9 10 13 18 25 34 45 58 73 90 109 130 153 178 205 234
(((x * 2) * 2) * ((x * x) + 1))
A105374: 0 8 40 120 272 520 888 1400 2080 2952 4040 5368 6960 8840 11032 13560
(((x * x) + 2) * ((x * x) + 1))
A304579: 2 6 30 110 306 702 1406 2550 4290 6806 10302 15006 21170 29070 39006 51302
(((x * x) * x) * ((x * x) + 1))
A155977: 0 2 40 270 1088 3250 7992 17150 33280 59778 101000 162382 250560 373490 540568 762750
(((x * 2) * 2) * ((x * x) - 1))
A272871: 0 0 24 96 240 480 840 1344 2016 2880 3960 5280 6864 8736 10920 13440
(((x * x) * x) * ((x * x) - 1))
A133754: 0 0 24 216 960 3000 7560 16464 32256 58320 99000 159720 247104 369096 535080 756000
((x div ((0 - 2) - 2)) div (0 - 2))
A135665: 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2
(1 - (x div ((2 + 2) * (0 - 2))))
A108582: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3
(x - (x div ((2 + 2) * (0 - 2))))
A057717: 0 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17
(x div (2 - ((x div 2) div (0 - 2))))
A333525-A262303-A056811: 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2
((x mod 2) - ((x div 2) div (0 - 2)))
A319688: 0 1 1 2 1 2 2 3 2 3 3 4 3 4 4 5
(x - (((x + 2) * x) div (0 - 2)))
A116940: 0 3 6 11 16 23 30 39 48 59 70 83 96 111 126 143
(x - (((x div 2) + x) div (0 - 2)))
A047379: 0 2 4 5 7 9 11 12 14 16 18 19 21 23 25 26
(((x + 1) * 2) - (x div (0 - 2)))
A330067-A075328: 2 5 7 10 12 15 17 20 22 25 27 30 32 35 37 40
(((x * 2) * 2) - (x div (0 - 2)))
A130877: 0 5 9 14 18 23 27 32 36 41 45 50 54 59 63 68
(((x mod 2) + 2) - (x div (0 - 2)))
A060762: 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11
((x * x) - ((x * x) div (0 - 2)))
A238410: 0 2 6 14 24 38 54 74 96 122 150 182 216 254 294 338
(((x div ((2 + 2) + 1)) + 1) * 2)
A105674: 2 2 2 2 2 4 4 4 4 4 6 6 6 6 6 8
(((x div ((2 + 2) + 1)) + 1) mod 2)
A084052: 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0
(((x mod ((2 + 2) + 1)) + 1) mod 2)
A188044: 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1
((((x + 1) div (2 + 1)) + 1) * 2)
A110870: 2 2 4 4 4 6 6 6 8 8 8
((((2 + 2) * (2 + 1)) + 1) * 2)
A010865: 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26
((((2 + 2) * (2 + 1)) - 1) * 2)
A010861: 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22
((((x * 2) * (2 + 1)) + 1) * 2)
A017545: 2 14 26 38 50 62 74 86 98 110 122 134 146 158 170 182
((x mod ((x div (2 + 1)) + 1)) div 2)
A024160: 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 1
((x - ((x div (2 + 1)) - 1)) * 2)
A082990: 2 4 6 6 8 10 10 12 14 14 16 18 18 20 22 22
(x - (((x mod (2 + 1)) - 1) * 2))
A330396: 2 1 0 5 4 3 8 7 6 11 10 9 14 13 12 17
((((2 + 2) * (x + 1)) - 1) * 2)
A189785-A017137: 6 14 22 30 38 46 54 62 70 78 86 94 102 110 118 126
((((x + 2) * (x + 1)) - 1) * 2)
A090288: 2 10 22 38 58 82 110 142 178 218 262 310 362 418 478 542
((((x * 2) * (x + 1)) + 1) * 2)
A069894: 2 10 26 50 82 122 170 226 290 362 442 530 626 730 842 962
(x - ((x div ((0 - 2) - 1)) * 2))
A047205: 0 3 4 5 8 9 10 13 14 15 18 19 20 23 24 25
((x - (x div ((0 - 2) - 1))) * 2)
A047407: 0 4 6 8 12 14 16 20 22 24 28 30 32 36 38 40
((x - ((x div (0 - 2)) - 1)) * 2)
A189933: 2 6 8 12 14 18 20 24 26 30 32 36 38 42 44 48
(x mod ((((2 + 1) * 2) + 1) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A070696: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1
((x div (((2 + 1) * 2) + 1)) mod 2)
A135500: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0
(((((x mod 2) + 1) * 2) + 1) * 2)
A010726: 6 10 6 10 6 10 6 10 6 10 6 10 6 10 6 10
((x div (((0 - 2) - 2) - 1)) mod 2)
A112713: 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1
((x mod (((0 - 2) - 2) - 1)) mod 2)
A188037: 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0
(((((x + 1) div 2) div 2) + 1) div 2)
A067441: 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2
((x mod (((2 + 2) * 2) + 1)) div 2)
A014589: 0 0 1 1 2 2 3 3 4 0 0 1 1 2 2 3
((x mod (((2 + 2) * 2) + 1)) mod 2)
A287773-A285685: 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0
(((x div ((2 + 2) * 2)) + 1) * 2)
A064128: 2 2 2 2 2 2 2 2 4 4 4 4 4 4 4 4
(((((x mod 2) * 2) * 2) + 1) * 2)
A010700: 2 10 2 10 2 10 2 10 2 10 2 10 2 10 2 10
(((x + 1) mod ((2 + 2) + 1)) * 2)
A135033: 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 2
(((x + 1) mod ((2 + 2) + 1)) mod 2)
A281274-A198517-A190227: 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1
(((x + 2) mod ((2 + 2) + 1)) mod 2)
A085242: 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0
(((x - 2) mod ((2 + 2) + 1)) mod 2)
A285076-A232990: 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1
((x + 1) mod (((2 + 2) + 1) * 2))
A179636-A128212-A118943-A087471-A062078: 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6
(x - (x mod (((2 + 2) + 1) * 2)))
A169932-A070565: 0 0 0 0 0 0 0 0 0 0 10 10 10 10 10 10
((x * x) mod (((2 + 2) + 1) * 2))
A008959: 0 1 4 9 6 5 6 9 4 1 0 1 4 9 6 5
(((0 - x) mod ((2 + 2) + 1)) * 2)
A177154: 0 8 6 4 2 0 8 6 4 2 0 8 6 4 2 0
(x - ((x div ((2 + 2) + 1)) * 2))
A255938-A081748: 0 1 2 3 4 3 4 5 6 7 6 7 8 9 10 9
((2 div ((x div (2 + 2)) + 1)) mod 2)
A327051: 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0
(x - (((x div (2 + 2)) + 1) div 2))
A257682-A029928: 0 1 2 3 3 4 5 6 7 8 9 10 10 11 12 13
((x - ((x div (2 + 2)) + 1)) mod 2)
A188467-A187950-A112539-A104104: 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1
((x mod ((x div (2 + 2)) + 1)) div 2)
A255361-A210703: 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1
(x - (((x div (2 + 2)) - 1) div 2))
A105598: 1 2 3 4 4 5 6 7 8 9 10 11 11 12 13 14
((x div ((x mod (2 + 2)) + 1)) mod 2)
A216511: 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1
((((x * x) + (2 + 2)) + 1) * 2)
A255845: 10 12 18 28 42 60 82 108 138 172 210 252 298 348 402 460
((((x * x) * (2 + 2)) + 1) * 2)
A108100: 2 10 34 74 130 202 290 394 514 650 802 970 1154 1354 1570 1802
((((x * x) div (2 + 2)) + 1) div 2)
A056837-A001971: 0 0 1 1 2 3 5 6 8 10 13 15 18 21 25 28
((x - (((x div 2) mod 2) - 1)) div 2)
A194247-A004525: 0 1 1 1 2 3 3 3 4 5 5 5 6 7 7 7
((x mod (((x mod 2) + 2) + 1)) mod 2)
A276950: 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1
(((x mod (2 + 1)) * (2 + 1)) + 2)
A131598: 2 5 8 2 5 8 2 5 8 2 5 8 2 5 8 2
(((x mod (2 + 1)) * (2 + 1)) div 2)
A101000: 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0
((((x div 2) + 1) div (2 + 1)) * 2)
A100825: 0 0 0 0 2 2 2 2 2 2 4 4 4 4 4 4
((((x + 1) div 2) div (2 + 1)) + 2)
A085290: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4
(1 - (((x * 2) div (2 + 1)) * 2))
A168053: 1 1 ~1 ~3 ~3 ~5 ~7 ~7 ~9 ~11 ~11 ~13 ~15 ~15 ~17 ~19
(x - (((x div 2) div (2 + 1)) * 2))
A325631-A309064-A276073: 0 1 2 3 4 5 4 5 6 7 8 9 8 9 10 11
((x - ((x div 2) div (2 + 1))) div 2)
A183142: 0 0 1 1 2 2 2 3 3 4 4 5 5 5 6 6
((((x * x) div 2) mod (2 + 1)) div 2)
A282778-A120325: 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0
(((x + 1) * x) + ((2 + 1) * 2))
A027691: 6 8 12 18 26 36 48 62 78 96 116 138 162 188 216 246
(((x * x) * x) + ((2 + 1) * 2))
A084382: 6 7 14 33 70 131 222 349 518 735 1006 1337 1734 2203 2750 3381
((((2 + 1) * x) * (2 + 1)) + 2)
A017185: 2 11 20 29 38 47 56 65 74 83 92 101 110 119 128 137
(x - (((1 - x) div (2 + 1)) * 2))
A008854: 0 1 4 5 6 9 10 11 14 15 16 19 20 21 24 25
((x - ((1 - x) div (2 + 1))) * 2)
A047395: 0 2 6 8 10 14 16 18 22 24 26 30 32 34 38 40
((((x + 2) * x) * (2 + 1)) + 2)
A080663: 2 11 26 47 74 107 146 191 242 299 362 431 506 587 674 767
((((x div 2) + x) * (2 + 1)) div 2)
A010378: 0 1 4 6 9 10
A214068: 0 1 4 6 9 10 13 15 18 19 22 24 27 28 31 33
((((x mod 2) + x) * (2 + 1)) + 2)
A168286: 2 8 8 14 14 20 20 26 26 32 32 38 38 44 44 50
(x mod (2 - ((x mod (2 + 1)) div 2)))
A286907-A284851: 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1
((x * 2) - ((x mod (2 + 1)) div 2))
A047244: 0 2 3 6 8 9 12 14 15 18 20 21 24 26 27 30
((x div 2) - ((x mod (2 + 1)) div 2))
A174257: 0 0 0 1 2 1 3 3 3 4 5 4 6 6 6 7
((x * 2) - ((x mod (2 + 1)) mod 2))
A047234: 0 1 4 6 7 10 12 13 16 18 19 22 24 25 28 30
(((((x + 1) * x) div 2) + 1) div 2)
A194248: 0 1 2 3 5 8 11 14 18 23 28 33 39 46 53 60
(((((x - 1) * x) div 2) + 1) div 2)
A054925: 0 0 1 2 3 5 8 11 14 18 23 28 33 39 46 53
(((((x + 2) * x) * 2) + 1) * 2)
A060626: 2 14 34 62 98 142 194 254 322 398 482 574 674 782 898 1022
(((((x + 2) * x) div 2) + 1) * 2)
A137928: 2 4 10 16 26 36 50 64 82 100 122 144 170 196 226 256
(((((x div 2) + x) div 2) + 1) div 2)
A334415: 0 0 1 1 2 2 2 3 3 3 4 4 5 5 5 6
(((((x mod 2) + x) * 2) + 1) * 2)
A168381: 2 10 10 18 18 26 26 34 34 42 42 50 50 58 58 66
((((x + 2) * (x + 2)) - 1) div 2)
A074148: 1 4 7 12 17 24 31 40 49 60 71 84 97 112 127 144
(((x * x) mod ((x + 2) + 1)) mod 2)
A339369: 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1
((((x * x) * (x * 2)) + 1) * 2)
A278611: 2 6 34
(((x - 1) mod ((x div 2) + 1)) div 2)
A333535-A091372: 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3
(((2 + 2) mod ((x div 2) + 1)) mod 2)
A343959: 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
((x * 2) - (((x div 2) + 1) div 2))
A047371-A022847: 0 2 3 5 7 9 10 12 14 16 17 19 21 23 24 26
((x * 2) - (((x div 2) - 1) div 2))
A184748-A047298: 1 3 4 6 8 10 11 13 15 17 18 20 22 24 25 27
((((x * 2) - (x mod 2)) + 1) * 2)
A047463: 2 4 10 12 18 20 26 28 34 36 42 44 50 52 58 60
((((x div 2) - (x mod 2)) + 1) div 2)
A059169: 0 0 1 0 1 1 2 1 2 2 3 2 3 3 4 3
(((((2 + 2) + 1) * x) + 1) * 2)
A017293: 2 12 22 32 42 52 62 72 82 92 102 112 122 132 142 152
((((x div (2 + 1)) + x) + 1) * 2)
A309374: 2 4 6 10 12
A047410: 2 4 6 10 12 14 18 20 22 26 28 30 34 36 38 42
(((((x div 2) + 1) * x) + 1) div 2)
A088414: 0 1 2 3 6 8
(((((2 + 2) * 2) + x) + 1) * 2)
A088383: 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48
((((x div (2 + 2)) + x) + 1) * 2)
A217562: 2 4 6 8 12 14 16 18 22 24 26 28 32 34 36 38
((((x div (2 + 2)) + x) + 1) div 2)
A090638-A073869-A055930-A005206: 0 1 1 2 3 3 4 4 5 6 6 7 8 8 9 9
(((((x + 2) + 2) * x) + 1) * 2)
A152811: 2 12 26 44 66 92 122 156 194 236 282 332 386 444 506 572
(((((x mod 2) * 2) + x) + 1) * 2)
A124356: 2 8 6 12 10 16 14 20 18 24 22 28 26 32 30 36
(x - ((((x mod 2) - x) - 1) * 2))
A047243: 2 3 8 9 14 15 20 21 26 27 32 33 38 39 44 45
((((x * 2) + 1) * (x + 1)) + 2)
A033816: 3 8 17 30 47 68 93 122 155 192 233 278 327 380 437 498
((((2 + 1) * 2) mod (x + 1)) mod 2)
A185014: 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
((((2 + 2) * 2) mod (x + 1)) mod 2)
A269246: 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0
(((x - (2 + 2)) * (x + 1)) div 2)
A167544: ~2 ~3 ~3 ~2 0 3 7 12 18 25 33 42 52 63 75 88
((((x mod 2) + 2) * (x + 1)) div 2)
A080512: 1 3 3 6 5 9 7 12 9 15 11 18 13 21 15 24
((((1 - x) div 2) mod (x + 1)) div 2)
A055679: 0 0 1 1 1 2 2 2 2 3 3 3 3 4 4 4
((((x * x) + 2) * (x + 1)) div 2)
A064808: 1 3 9 22 45 81 133 204 297 415 561 738 949 1197 1485 1816
((((x * x) div 2) mod (x + 1)) div 2)
A322996: 0 0 1 0 1 0 2 0 2 0 3 0 3 0 4 0
((((x * x) div 2) mod (x + 1)) mod 2)
A292370-A188187-A160380: 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0
((x div (2 + 2)) + ((x + 1) * 2))
A193766-A022839: 2 4 6 8 11 13 15 17 20 22 24 26 29 31 33 35
(((x div 2) + x) + ((x + 1) * 2))
A047385: 2 5 9 12 16 19 23 26 30 33 37 40 44 47 51 54
(((x mod 2) + x) * ((x + 1) div 2))
A079242: 0 2 2 8
((((x + 2) * x) * (x + 1)) div 2)
A027480: 0 3 12 30 60 105 168 252 360 495 660 858 1092 1365 1680 2040
(((2 - (x * x)) * (x + 1)) div 2)
A110427: 1 1 ~3 ~14 ~35 ~69 ~119 ~188 ~279 ~395 ~539 ~714 ~923 ~1169 ~1455 ~1784
((((x div 2) + 2) * (x - 1)) + 2)
A266287: 0 2 5 8 14 18 27 32 44 50 65 72 90 98 119 128
((((x div 2) mod 2) * (x - 1)) div 2)
A131360: 0 0 0 1 0 0 2 3 0 0 4 5 0 0 6 7
((x - ((x - 2) * (x - 1))) * 2)
A147973: ~4 2 4 2 ~4 ~14 ~28 ~46 ~68 ~94 ~124 ~158 ~196 ~238 ~284 ~334
(x - (((x div 2) div (0 - 2)) * 2))
A047260: 0 1 4 5 6 7 10 11 12 13 16 17 18 19 22 23
(1 - (((x div 2) div (0 - 2)) div 2))
A344517-A058318: 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3
((x * 2) - (x div ((0 - 2) - 2)))
A198082: 0 3 5 7 9 12 14 16 18 21 23 25 27 30 32 34
((x * 2) - (x mod ((0 - 2) - 2)))
A047575: 0 5 6 7 8 13 14 15 16 21 22 23 24 29 30 31
((((x div 2) + x) div (0 - 2)) mod 2)
A130198: 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1
(((x * 2) - (x div (0 - 2))) * 2)
A146951: 0 6 10 16 20 26 30 36 40 46 50 56 60 66 70 76
(0 - (x div ((x div (0 - 2)) - 2)))
A243113-A135662-A121900-A076620: 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
(1 - (x div ((x div (0 - 2)) - 2)))
A125269: 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3
((x * 2) - ((x div (0 - 2)) mod 2))
A047401: 0 1 3 6 8 9 11 14 16 17 19 22 24 25 27 30
(((((2 + 1) * 2) + 1) * 2) * 2)
A010867: 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28
(x - ((((2 + 2) + 1) * 2) * 2))
A023462: ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5
(((x mod ((2 + 2) + 1)) div 2) div 2)
A305802-A283317-A276206-A248640-A188041-A112765-A093957: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0
(((((x * 2) * 2) + 1) * 2) * 2)
A085805: 4 20 36 52 68
A119413: 4 20 36 52 68 84 100 116 132 148 164 180 196 212 228 244
(((((x div 2) * 2) + 1) * 2) * 2)
A168398: 4 4 12 12 20 20 28 28 36 36 44 44 52 52 60 60
((((x * 2) * (2 + 1)) + 2) * 2)
A017569: 4 16 28 40 52 64 76 88 100 112 124 136 148 160 172 184
((((x div 2) * (2 + 1)) + 2) * 2)
A168326: 4 4 10 10 16 16 22 22 28 28 34 34 40 40 46 46
((((x mod 2) * (2 + 1)) + 2) * 2)
A010715: 4 10 4 10 4 10 4 10 4 10 4 10 4 10 4 10
(1 - (((x div (2 + 1)) mod 2) * 2))
A130151: 1 1 1 ~1 ~1 ~1 1 1 1 ~1 ~1 ~1 1 1 1 ~1
((x - ((x div (2 + 1)) mod 2)) div 2)
A300293: 0 0 1 1 1 2 3 3 4 4 4 5 6 6 7 7
((x - ((x mod (2 + 1)) div 2)) div 2)
A300068: 0 0 0 1 2 2 3 3 3 4 5 5 6 6 6 7
(((x - (x mod (2 + 1))) div 2) div 2)
A166872-A089051: 0 0 0 0 0 0 1 1 1 2 2 2 3 3 3 3
(x - ((((x div 2) + 1) div 2) div 2))
A332613: 0 1 2 3 4 5 5 6 7 8 9 10 11 12 12 13
(((x mod ((x div 2) + 1)) div 2) + 2)
A090663: 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5
(((((x + 1) * x) + 1) * 2) * 2)
A112087: 4 12 28 52 84 124 172 228 292 364 444 532 628 732 844 964
(((((x div 2) + x) + 1) * 2) * 2)
A092259: 4 8 16 20 28 32 40 44 52 56 64 68 76 80 88 92
((((x + 2) * (x + 1)) div 2) + 2)
A255981: 3 5 8 12 17
((((x div 2) * (x + 1)) mod 2) + 2)
A214861-A037914: 2 2 3 2 2 2 3 2 2 2 3 2 2 2 3 2
(((((x * x) * x) + 1) * 2) * 2)
A100214: 4 8 36 112 260 504 868 1376 2052 2920 4004 5328 6916 8792 10980 13504
(x - ((x div ((0 - 2) - 2)) * 2))
A047250: 0 3 4 5 6 9 10 11 12 15 16 17 18 21 22 23
((x - (x div ((0 - 2) - 2))) div 2)
A101803-A029922: 0 1 1 2 2 3 4 4 5 6 6 7 7 8 9 9
(x - ((x mod ((0 - 2) - 2)) * 2))
A120634: 0 7 6 5 4 11 10 9 8 15 14 13 12 19 18 17
(x - ((((x + 1) div 2) div 2) * 2))
A285869: 0 1 2 1 2 3 4 3 4 5 6 5 6 7 8 7
((2 - (((x - 1) div 2) div 2)) div 2)
A014074: 1 1 1 1 1 0 0 0 0 0 0 0 0 ~1 ~1 ~1
(x - ((((x - 1) div 2) div 2) * 2))
A162330: 2 1 2 3 4 3 4 5 6 5 6 7 8 7 8 9
(((((x - 1) div 2) div 2) div 2) mod 2)
A339110-A288685-A245794-A245149-A185329-A185119-A025154-A017903-A017886-A017885-A017884-A017883-A017882: 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1
(x - ((((2 + 2) * 2) * 2) * 2))
A023474: ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17
(((((x * 2) * 2) * 2) * 2) * 2)
A174312: 0 32 64 96 128 160 192 224 256 288 320 352 384 416 448 480
((x mod (1 - ((2 + 2) * 2))) mod 2)
A327211-A022925: 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0
((0 - x) mod (((2 + 2) * 2) * 2))
A055126: 0 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
(2 - (x - (((2 + 2) * 2) * 2)))
A022974: 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3
((x * x) mod (((2 + 2) * 2) * 2))
A070439: 0 1 4 9 0 9 4 1 0 1 4 9 0 9 4 1
(((2 - x) div ((2 + 2) * 2)) mod 2)
A072609: 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0
((2 - ((x div (2 + 2)) mod 2)) * 2)
A074803: 4 4 4 4 2 2 2 2 4 4 4 4 2 2 2 2
(1 - (((x div (2 + 2)) mod 2) * 2))
A143621: 1 1 1 1 ~1 ~1 ~1 ~1 1 1 1 1 ~1 ~1 ~1 ~1
(x - (((x mod (2 + 2)) - 2) * 2))
A113778: 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13
((((x * x) + (2 + 2)) + 2) * 2)
A255842: 12 14 20 30 44 62 84 110 140 174 212 254 300 350 404 462
((((x * x) * (2 + 2)) * 2) * 2)
A016802: 0 16 64 144 256 400 576 784 1024 1296 1600 1936 2304 2704 3136 3600
(x div ((((x mod 2) + 2) * 2) * 2))
A072931: 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1
((x div (((x mod 2) - 2) * 2)) mod 2)
A217207: 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0
((x - ((x div 2) mod (2 + 2))) div 2)
A082871: 0 0 0 1 1 1 1 2 4
(x - (x div (1 - ((2 + 2) * 2))))
A274375-A047594: 0 2 3 4 5 6 7 8 10 11 12 13 14 15 16 18
((x mod (0 - 2)) mod ((2 + 2) * 2))
A010678: 0 7 0 7 0 7 0 7 0 7 0 7 0 7 0 7
(((x + 1) * x) + ((2 + 2) * 2))
A027693: 8 10 14 20 28 38 50 64 80 98 118 140 164 190 218 248
(((x + 1) * x) mod ((2 + 2) * 2))
A053794: 0 2 6 4 4 6 2 0 0 2 6 4 4 6 2 0
(((x - 1) * x) div ((2 + 2) * 2))
A011861: 0 0 0 0 1 2 3 5 7 9 11 13 16 19 22 26
(((x div 2) + x) div ((2 + 2) * 2))
A105518: 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2
(((x mod 2) * x) mod ((2 + 2) * 2))
A109753: 0 1 0 3 0 5 0 7 0 1 0 3 0 5 0 7
((x * 2) - (x div ((2 + 2) * 2)))
A316837: 0 2 4 6 8 10 12 14 15 17 19 21 23 25 27 29
((x div 2) - (x div ((2 + 2) * 2)))
A073642: 0 0 1 1 2 2 3 3 3 3 4 4 5 5 6 6
((x * 2) - (x mod ((2 + 2) * 2)))
A161673: 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23
(((x * x) * x) - ((2 + 2) * 2))
A259348: ~8 ~7 0 19 56 117 208 335 504 721 992 1323 1720 2189 2736 3367
(((x * x) * x) * ((2 + 2) * 2))
A016743: 0 8 64 216 512 1000 1728 2744 4096 5832 8000 10648 13824 17576 21952 27000
(((x * x) * x) div ((2 + 2) * 2))
A081276: 0 0 1 3 8 15 27 42 64 91 125 166 216 274 343 421
(x - (((2 - x) div (2 + 2)) * 2))
A192225: 0 1 2 5
A047269: 0 1 2 5 6 7 8 11 12 13 14 17 18 19 20 23
(x mod (2 - ((x div (2 + 2)) mod 2)))
A288223: 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0
((x mod 2) - ((x div (2 + 2)) mod 2))
A131851: 0 1 0 1 ~1 0 ~1 0 0 1 0 1 ~1 0 ~1 0
(((x * 2) - (x mod (2 + 2))) + 2)
A047596: 2 3 4 5 10 11 12 13 18 19 20 21 26 27 28 29
(((((2 + 1) * x) + 2) * 2) * 2)
A017617: 8 20 32 44 56 68 80 92 104 116 128 140 152 164 176 188
(((((x + 1) * x) div 2) + 2) + 2)
A146968: 4 5 7
A145018: 4 5 7 10 14 19 25 32 40 49 59 70 82 95 109 124
((x * x) div (((x + 2) + 2) * 2))
A233795-A155213: 0 0 0 0 1 1 1 2 2 3 3 4 4 4 5 5
(((x * x) mod ((x + 2) + 2)) mod 2)
A219097: 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0
((((x * x) * (x + 2)) * 2) * 2)
A258617: 0 12 64 180 384 700 1152 1764 2560 3564 4800 6292 8064 10140 12544 15300
(2 - (x - (((x * 2) * 2) * 2)))
A017005: 2 9 16 23 30 37 44 51 58 65 72 79 86 93 100 107
(((x - 1) div ((x div 2) + 2)) + 2)
A320065: 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3
(((x - 1) div ((x div 2) + 2)) mod 2)
A185115: 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1
(((x - 2) div ((x div 2) + 2)) + 2)
A077430: 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3
(((x * 2) mod ((x div 2) + 2)) mod 2)
A308074: 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1
(x - (x div (((x div 2) + 2) + 2)))
A076946: 0 1 2 3 4 5 6 6 7 8 9 10 11 12 13 14
(((x * 2) - ((x div 2) mod 2)) + 2)
A047495: 2 4 5 7 10 12 13 15 18 20 21 23 26 28 29 31
((((x * x) + (x div 2)) div 2) div 2)
A038709: 0 0 1 2 4 6 9 13 17 21 26 31 37 43 50 58
((((x * 2) - (x mod 2)) + 2) * 2)
A047406: 4 6 12 14 20 22 28 30 36 38 44 46 52 54 60 62
((((x * 2) - (x mod 2)) * 2) * 2)
A326781: 0 4 16 20 32 36 48 52 64 68 80 84 96 100 112 116
(((x - 1) mod ((x mod 2) + 2)) mod 2)
A285625-A283966: 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0
((1 - (x mod ((x mod 2) + 2))) div 2)
A133944: 0 0 0 0 0 ~1 0 0 0 0 0 ~1 0 0 0 0
(1 - ((x mod ((x mod 2) + 2)) div 2))
A294934: 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1
(((x div (2 + 2)) + 1) mod (2 + 2))
A133874: 1 1 1 1 2 2 2 2 3 3 3 3 0 0 0 0
((((x + 1) * x) div 2) mod (2 + 2))
A105198: 0 1 3 2 2 3 1 0 0 1 3 2 2 3 1 0
(((x div (2 + 1)) + x) * (2 + 2))
A104235: 0 4 8 16 20 24 32 36 40 48 52 56 64 68 72 80
(((x div (2 + 2)) + x) mod (2 + 2))
A159956-A053839: 0 1 2 3 1 2 3 0 2 3 0 1 3 0 1 2
(((x div (2 + 2)) - x) mod (2 + 2))
A287576: 0 3 2 1 1 0 3 2 2 1 0 3 3 2 1 0
((x * 2) - ((2 - x) div (2 + 2)))
A022848: 0 2 4 7 9 11 13 16 18 20 22 25 27 29 31 34
(x - (((x mod 2) - x) * (2 + 2)))
A197652: 0 1 10 11 20 21 30 31 40 41 50 51 60 61 70 71
((((x * x) div 2) * x) div (2 + 2))
A034828: 0 0 1 3 8 15 27 42 64 90 125 165 216 273 343 420
((x div (2 + 2)) * (x div (2 + 2)))
A295643: 0 0 0 0 1 1 1 1 4 4 4 4 9 9 9 9
((x mod (2 + 2)) * (x div (2 + 2)))
A257844: 0 0 0 0 0 1 2 3 0 2 4 6 0 3 6 9
(((x * x) * 2) - (x div (2 + 2)))
A293296: 0 2 8 18 31 49 71 97 126 160 198 240 285 335 389 447
(((x div 2) + x) + (x div (2 + 2)))
A047344: 0 1 3 4 7 8 10 11 14 15 17 18 21 22 24 25
(((x + 2) * 2) - (x mod (2 + 2)))
A047566: 4 5 6 7 12 13 14 15 20 21 22 23 28 29 30 31
(x - (((1 - x) * x) * (2 + 2)))
A001107: 0 1 10 27 52 85 126 175 232 297 370 451 540 637 742 855
((x * x) - ((x * x) div (2 + 2)))
A222010: 0 1 3 7
A077043: 0 1 3 7 12 19 27 37 48 61 75 91 108 127 147 169
(((x * x) * (x * x)) + (2 + 2))
A057781: 4 5 20 85 260 629 1300 2405 4100 6565 10004 14645 20740 28565 38420 50629
(((x * x) * (x * x)) * (2 + 2))
A141046: 0 4 64 324 1024 2500 5184 9604 16384 26244 40000 58564 82944 114244 153664 202500
(((x * x) * (x * x)) div (2 + 2))
A131479: 0 0 4 20 64 156 324 600 1024 1640 2500 3660 5184 7140 9604 12656
(((((2 + 2) + 1) * x) + 2) * 2)
A017317: 4 14 24 34 44 54 64 74 84 94 104 114 124 134 144 154
((((2 mod (x + 1)) - x) div 2) mod 2)
A296028: 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1
(((((x div 2) mod 2) + x) div 2) * 2)
A201629: 0 0 2 4 4 4 6 8 8 8 10 12 12 12 14 16
((2 div (((x div 2) + x) - 2)) mod 2)
A154281: 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
((x mod (((x div 2) + x) - 2)) mod 2)
A160351: 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1
(x - ((((x mod 2) - x) - 2) * 2))
A047257: 4 5 10 11 16 17 22 23 28 29 34 35 40 41 46 47
((((x div 2) - 1) mod (x + 2)) mod 2)
A188189: 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0
((((x - 2) * 2) mod (x + 2)) mod 2)
A284683: 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1
((((1 - x) div 2) mod (x + 2)) div 2)
A257839: 0 0 1 2 2 2 2 3 3 3 3 4 4 4 4 5
(((2 - (x div 2)) div (x + 2)) mod 2)
A185116-A060287: 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1
((((x * x) div 2) mod (x + 2)) mod 2)
A231600: 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0
(((x * 2) * 2) div ((x + 2) + 2))
A072746: 0 0 1 1 2 2 2 2 2 2 2 2 3 3 3 3
(((2 + 1) * x) div ((x + 2) + 2))
A339183-A287272-A211668-A062153: 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2
(x - ((x * x) div ((x + 2) + 2)))
A244317: 0 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4
(((x div (2 + 2)) + (x * 2)) * 2)
A276340: 0 4 8 12 18 22 26 30 36 40 44 48 54 58 62 66
(((x div 2) + 2) + ((x * 2) * 2))
A193910: 2 6 11 15 20 24 29 33 38 42 47 51 56 60 65 69
(((x mod 2) + 2) + ((x * 2) * 2))
A047524: 2 7 10 15 18 23 26 31 34 39 42 47 50 55 58 63
((2 - (x div 2)) + ((x * 2) * 2))
A047276: 2 6 9 13 16 20 23 27 30 34 37 41 44 48 51 55
((2 - (x mod 2)) + ((x * 2) * 2))
A047617: 2 5 10 13 18 21 26 29 34 37 42 45 50 53 58 61
(((x * x) div 2) + ((x * 2) * 2))
A271911: 0 4 10 16 24 32 42 52 64 76 90 104 120 136 154 172
(((x mod (2 + 1)) * (x div 2)) mod 2)
A277148: 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0
((((x - 1) div 2) * (x div 2)) div 2)
A130519: 0 0 0 0 1 2 3 4 6 8 10 12 15 18 21 24
(((x mod (2 + 2)) + (x div 2)) div 2)
A246552: 0 0 1 2 1 1 2 3 2 2 3 4 3 3 4 5
((((x * 2) * 2) - (x div 2)) * 2)
A238290: 0 8 14 22 28 36 42 50 56 64 70 78 84 92 98 106
((((x mod 2) + 2) * (x div 2)) div 2)
A226107: 0 0 1 1 2 3 3 4 4 6 5 7 6 9 7 10
(x - (((x mod 2) - (x div 2)) div 2))
A265430: 0 1 3 3 5 6 8 8 10 11 13 13 15 16 18 18
(2 - ((2 - x) div ((x div 2) + 2)))
A084506: 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4
(((x + 2) * x) + ((x div 2) + 2))
A171769: 2 5 11 18 28 39 53 68 86 105 127 150 176 203 233 264
((2 - (x mod 2)) + ((x div 2) mod 2))
A157810: 2 1 3 2 2 1 3 2 2 1 3 2 2 1 3 2
(((2 + 1) * x) + ((x div 2) mod 2))
A319279: 0 3 7 10 12 15 19 22 24 27 31 34 36 39 43 46
(((x mod 2) + x) - ((x div 2) mod 2))
A080412: 0 2 1 3 4 6 5 7 8 10 9 11 12 14 13 15
((((x + 1) * x) + (x div 2)) div 2)
A181947: 0 1 3 6 11 16
((((x + 2) * x) - (x div 2)) * 2)
A139596: 0 6 14 28 44 66 90 120 152 190 230 276 324 378 434 496
((((2 + 2) + 1) * (x mod 2)) + 2)
A181284-A010697: 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7
(((x + 1) div (2 - (x mod 2))) div 2)
A124072: 0 1 0 2 1 3 1 4 2 5 2 6 3 7 3 8
(x - ((x - 1) div ((x mod 2) + 2)))
A226142: 1 1 2 3 3 4 4
((x div (2 + 2)) mod ((x mod 2) + 2))
A277144: 0 0 0 0 1 1 1 1 0 2 0 2 1 0 1 0
(((x mod 2) + 2) * ((x mod 2) + 2))
A071793-A010714: 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9
(x - ((x * x) mod ((x mod 2) + 2)))
A213635: 0 0 2 3 4 4 6 6 8 9 10 10 12 12 14 15
((((x + 2) * x) + (x mod 2)) * 2)
A139598: 0 8 16 32 48 72 96 128 160 200 240 288 336 392 448 512
(x - ((x div ((x * x) - 2)) * 2))
A060858: 0 3 0 3 4 5 6
((((x mod (2 + 1)) + 1) * x) div 2)
A119719: 0 1 3 1 4
(((((2 + 1) * 2) + 1) * x) * 2)
A008596: 0 14 28 42 56 70 84 98 112 126 140 154 168 182 196 210
(((((x + 2) + 2) + 1) * x) div 2)
A055998: 0 3 7 12 18 25 33 42 52 63 75 88 102 117 133 150
(((((x * 2) * 2) + 1) * x) * 2)
A033585: 0 10 36 78 136 210 300 406 528 666 820 990 1176 1378 1596 1830
(((((x * 2) * 2) - 1) * x) * 2)
A033588-A014635: 0 6 28 66 120 190 276 378 496 630 780 946 1128 1326 1540 1770
((((x - 1) mod (2 + 1)) + x) div 2)
A106251: 1 0 1 2 2 3 4 3 4 5 5 6 7 6 7 8
((((x * 2) div (2 + 1)) + x) + 2)
A028738: 2 3 5 7 8 10 12 13 15 17 18 20 22 23
((((x div 2) * (2 + 1)) + x) + 2)
A201363: 2 3 7
A233998-A047221: 2 3 7 8 12 13 17 18 22 23 27 28 32 33 37 38
((((x div 2) * (2 + 1)) + x) div 2)
A187322: 0 0 2 3 5 5 7 8 10 10 12 13 15 15 17 18
((((x div 2) div (2 + 1)) + x) + 2)
A316228: 2 3 4 5 6 7 9 10 11 12 13 14 16 17 18 19
((((1 - x) mod (2 + 1)) + x) + 2)
A105676: 3 3 6 6 6 9 9 9 12 12 12 15 15 15 18 18
((((1 - x) mod (2 + 1)) + x) div 2)
A035307: 0 0 2 2 2 3
(x - (((x div (2 + 1)) - x) * 2))
A047281: 0 3 6 7 10 13 14 17 20 21 24 27 28 31 34 35
(x - (((x mod (2 + 1)) - x) * 2))
A281899: 0 1 2 9 10 11 18 19 20 27 28 29 36 37 38 45
(((x - (x mod (2 + 1))) * x) div 2)
A213034: 0 0 0 4 6 7 18 21 24 40 45 49 72 78 84 112
((((x * x) + (2 + 1)) * x) div 2)
A229183: 0 2 7 18 38 70 117 182 268 378 515 682 882 1118 1393 1710
((((x * x) * (2 + 1)) + x) * 2)
A033580: 0 8 28 60 104 160 228 308 400 504 620 748 888 1040 1204 1380
((((x * x) * (2 + 1)) + x) div 2)
A005449: 0 2 7 15 26 40 57 77 100 126 155 187 222 260 301 345
((((x * x) * (2 + 1)) - x) * 2)
A033579: 0 4 20 48 88 140 204 280 368 468 580 704 840 988 1148 1320
((((x * x) * (2 + 1)) - x) div 2)
A000326: 0 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330
((((x * x) div (2 + 1)) + x) div 2)
A301654: 0 0 1 3 4 6 9 11 14 18 21 25 30 34 39 45
(((x mod ((x div 2) + 1)) + x) div 2)
A073719: 0 0 1 2 2 3 4 5 5 6 7 8 8 9 10 11
(((((x * x) * 2) + 1) * x) * 2)
A061804: 0 6 36 114 264 510 876 1386 2064 2934 4020 5346 6936 8814 11004 13530
(x - (((x * x) * (1 - x)) * 2))
A059722: 0 1 10 39 100 205 366 595 904 1305 1810 2431 3180 4069 5110 6315
((((2 + 2) * (x + 1)) + x) * 2)
A017365: 8 18 28 38 48 58 68 78 88 98 108 118 128 138 148 158
(((((x * x) * x) + 1) * x) div 2)
A027441: 0 1 9 42 130 315 651 1204 2052 3285 5005 7326 10374 14287 19215 25320
((((x div (2 + 1)) * 2) + x) + 2)
A047202: 2 3 4 7 8 9 12 13 14 17 18 19 22 23 24 27
((((2 mod (x + 1)) - 2) * x) * 2)
A124856: 0 ~4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
((((x div (0 - 2)) mod 2) * x) div 2)
A338780: 0 0 1 0 0 2 3 0 0 4 5 0 0 6 7 0
(((x div ((2 + 2) * 2)) + x) + 2)
A121603: 2 3 4 5 6 7 8 9 11
A183222-A014089: 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18
(((x div ((2 + 2) * 2)) + x) div 2)
A214656-A085268: 0 0 1 1 2 2 3 3 4 5 5 6 6 7 7 8
((((x div (2 + 2)) * 2) + x) + 2)
A047247: 2 3 4 5 8 9 10 11 14 15 16 17 20 21 22 23
(((((x + 2) + 2) + 2) * x) + 2)
A028881: 2 9 18 29 42 57 74 93 114 137 162 189 218 249 282 317
((((x - 1) mod (2 + 2)) + x) div 2)
A106249: 1 0 1 2 3 2 3 4 5 4 5 6 7 6 7 8
(x - ((((x div 2) mod 2) - x) div 2))
A047229: 0 2 3 4 6 8 9 10 12 14 15 16 18 20 21 22
((x * x) div (x - ((2 - x) div 2)))
A330560: 0 1 2 2 3 3 4 4 5 6 7 7 8 8 9 10
(x - (((x * x) * (2 - x)) div 2))
A057566: 0 1 2 8 20 43 78 130 200 293 410 556 732 943 1190 1478
(((((2 + 1) * x) + 2) * x) + 2)
A141631: 2 7 18 35 58 87 122 163 210 263 322 387 458 535 618 707
(((((2 + 1) * x) + 2) * x) * 2)
A202804: 0 10 32 66 112 170 240 322 416 522 640 770 912 1066 1232 1410
(((((2 + 1) * x) - 2) * x) + 2)
A271740: 2 3 10 23 42 67 98 135 178 227 282 343 410 483 562 647
(((((2 + 1) * x) - 2) * x) * 2)
A139267: 0 2 16 42 80 130 192 266 352 450 560 682 816 962 1120 1290
(((((x + 2) * x) + 2) * x) * 2)
A071233: 0 10 40 102 208 370 600 910 1312 1818 2440 3190 4080 5122 6328 7710
((((x div 2) * (x div 2)) + x) * 2)
A266074: 0 2 6 8 16 18 30 32 48 50 70 72 96 98 126 128
((x * 2) - (((x div 2) * x) mod 2))
A047612: 0 2 4 5 8 10 12 13 16 18 20 21 24 26 28 29
((((x + 1) * x) - 1) * (x + 2))
A318765: ~2 3 20 55 114 203 328 495 710 979 1308 1703 2170 2715 3344 4063
((((x + 1) * x) div 2) mod (x + 2))
A119719: 0 1 3 1 4
A179820: 0 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1
(((x * x) * (x + 2)) * (x + 2))
A099761: 0 9 64 225 576 1225 2304 3969 6400 9801 14400 20449 28224 38025 50176 65025
((x div (2 - (x mod 2))) * (x + 2))
A066830: 0 3 4 15 12 35 24 63 40 99 60 143 84 195 112 255
((x * 2) - ((x div 2) * (x - 2)))
A230564: 0 2 4 5 4
(((x div 2) * (2 + 1)) + (x * 2))
A047352: 0 2 7 9 14 16 21 23 28 30 35 37 42 44 49 51
(((1 - x) mod (2 + 1)) + (x * 2))
A327258: 1 2 6 7 8 12 13 14 18 19 20 24 25 26 30 31
(((x * x) mod (2 + 1)) + (x * 2))
A047271: 0 3 5 6 9 11 12 15 17 18 21 23 24 27 29 30
((x mod 2) - (1 mod (1 - (x * 2))))
A192225: 0 1 2 5
A264120: 0 1 2 5 6 9 10 13 14 17 18 21 22 25 26 29
(2 - (2 div (2 div (1 - (x * 2)))))
A113311: 1 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(((x mod (2 + 1)) div 2) + (x * 2))
A047267: 0 2 5 6 8 11 12 14 17 18 20 23 24 26 29 30
(((x mod (2 + 1)) mod 2) + (x * 2))
A047231: 0 3 4 6 9 10 12 15 16 18 21 22 24 27 28 30
(((x div (0 - 2)) mod 2) + (x * 2))
A047444: 0 3 5 6 8 11 13 14 16 19 21 22 24 27 29 30
((((x - 1) div 2) mod 2) + (x * 2))
A047541: 1 2 4 7 9 10 12 15 17 18 20 23 25 26 28 31
((((x div 2) * x) mod 2) + (x * 2))
A047540: 0 2 4 7 8 10 12 15 16 18 20 23 24 26 28 31
((x mod 2) - ((1 - x) * (x * 2)))
A255840: 0 1 4 13 24 41 60 85 112 145 180 221 264 313 364 421
(x - (((x mod 2) - x) * (x * 2)))
A276914: 0 1 10 15 36 45 78 91 136 153 210 231 300 325 406 435
((x div ((2 + 2) + 1)) + (x div 2))
A110532: 0 0 1 1 2 3 4 4 5 5 7 7 8 8 9 10
((x div ((2 + 2) + 1)) * (x div 2))
A110533: 0 0 0 0 0 2 3 3 4 4 10 10 12 12 14 21
(((x + 1) * (2 + 1)) + (x div 2))
A047280: 3 6 10 13 17 20 24 27 31 34 38 41 45 48 52 55
(((x * x) mod (2 + 1)) + (x div 2))
A105637: 0 1 2 1 3 3 3 4 5 4 6 6 6 7 8 7
((x - (x div (0 - 2))) * (x div 2))
A032438: 0 0 3 5 12 16 27 33 48 56 75 85 108 120 147 161
((((x + 1) div 2) div 2) * (x div 2))
A159915: 0 0 0 1 2 2 3 6 8 8 10 15 18 18 21 28
(1 mod (((2 + 2) * 2) - (x div 2)))
A296079-A228594: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0
(2 div (((2 + 2) * 2) - (x div 2)))
A258186-A185226-A035587: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2
((((x mod 2) * 2) * 2) + (x div 2))
A168230: 0 4 1 5 2 6 3 7 4 8 5 9 6 10 7 11
(((x * x) * (2 + 2)) + (x div 2))
A173511: 0 4 17 37 66 102 147 199 260 328 405 489 582 682 791 907
((((x * 2) + 1) * x) + (x div 2))
A139593: 0 3 11 22 38 57 81 108 140 175 215 258 306 357 413 472
(x - (((x mod 2) - x) * (x div 2)))
A266725: 0 1 4 5 12 13 24 25 40 41 60 61 84 85 112 113
((((x div 2) mod 2) + 1) * (x mod 2))
A131743: 0 1 0 2 0 1 0 2 0 1 0 2 0 1 0 2
(((x * 2) * (2 + 1)) + (x mod 2))
A272975: 0 7 12 19 24 31 36 43 48 55 60 67 72 79 84 91
(((x * x) * (2 + 1)) + (x mod 2))
A278211: 0 4 12 28 48 76
(((2 + 2) * (x + 1)) - (x mod 2))
A047535: 4 7 12 15 20 23 28 31 36 39 44 47 52 55 60 63
(((x div (2 + 2)) * 2) - (x mod 2))
A226279: 0 ~1 0 ~1 2 1 2 1 4 3 4 3 6 5 6 5
(((x div (2 + 2)) mod 2) + (x mod 2))
A345021-A215604-A139351: 0 1 0 1 1 2 1 2 0 1 0 1 1 2 1 2
(((x + 2) + 1) div (2 - (x mod 2)))
A097362: 1 4 2 6 3 8 4 10 5 12 6 14 7 16 8 18
(((x div 2) * (x div 2)) - (x mod 2))
A131805: 0 ~1 1 0 4 3 9 8 16 15 25 24 36 35 49 48
(1 - (2 mod ((1 - x) - (x mod 2))))
A140839: 1 1 1 2 2 4
((1 - ((x + 2) * x)) - (x mod 2))
A141354: 1 ~3 ~7 ~15 ~23 ~35 ~47 ~63 ~79 ~99 ~119 ~143 ~167 ~195 ~223 ~255
(((((2 + 2) + 1) * x) * x) div 2)
A032526: 0 2 10 22 40 62 90 122 160 202 250 302 360 422 490 562
(((((x * x) + 1) * x) * x) div 2)
A037270: 0 1 10 45 136 325 666 1225 2080 3321 5050 7381 10440 14365 19306 25425
(((((x mod 2) * 2) + x) * x) div 2)
A213037: 0 1 2 7 8 17 18 31 32 49 50 71 72 97 98 127
(((((x * x) + 2) * x) * x) + 2)
A178390: 2 5 26 101 290 677 1370 2501 4226 6725 10202 14885 21026 28901 38810 51077
((((2 + 2) * 2) + (x * x)) * 2)
A255847: 16 18 24 34 48 66 88 114 144 178 216 258 304 354 408 466
(1 - (2 mod (1 - ((x * x) * 2))))
A068941: 1 1 6 16
(x - (x mod (1 - ((x * x) div 2))))
A295484: 0 1 2 3 7
((((2 + 2) * (2 + 1)) + 1) * x)
A008595: 0 13 26 39 52 65 78 91 104 117 130 143 156 169 182 195
((((2 + 2) * (2 + 1)) - 1) * x)
A059632-A008593: 0 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165
((((x * 2) * (2 + 1)) + 1) * x)
A049453: 0 7 26 57 100 155 222 301 392 495 610 737 876 1027 1190 1365
((((x * 2) * (2 + 1)) - 1) * x)
A049452: 0 5 22 51 92 145 210 287 376 477 590 715 852 1001 1162 1335
((((2 + 2) * (x + 1)) - 1) * x)
A033954: 0 7 22 45 76 115 162 217 280 351 430 517 612 715 826 945
((((x + 2) * (x + 1)) + 1) * x)
A068601: 0 7 26 63 124 215 342 511 728 999 1330 1727 2196 2743 3374 4095
((((x * 2) * (x + 1)) + 1) * x)
A048395: 0 5 26 75 164 305 510 791 1160 1629 2210 2915 3756 4745 5894 7215
((((x * x) * (x + 1)) + 1) * x)
A100606: 0 3 26 111 324 755 1518 2751 4616 7299 11010 15983 22476 30771 41174 54015
((x div (((2 + 1) * 2) + 1)) + x)
A335513-A047421-A037474-A022551-A004777-A000378: 0 1 2 3 4 5 6 8 9 10 11 12 13 14 16 17
(((((x + 2) + 1) * 2) + 1) * x)
A130861: 0 9 22 39 60 85 114 147 184 225 270 319 372 429 490 555
(((((2 + 2) * 2) * 2) + 1) * x)
A161440-A008599: 0 17 34 51 68 85 102 119 136 153 170 187 204 221 238 255
((x div (((2 + 2) * 2) + 1)) + x)
A235034-A191845-A043094-A031994-A023803-A023751-A020663-A007095-A004774-A004745-A004728: 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16
(((((x + 2) + 2) + 2) + 1) * x)
A028563: 0 8 18 30 44 60 78 98 120 144 170 198 228 260 294 330
(((((x + 2) + 2) * 2) + 1) * x)
A139576: 0 11 26 45 68 95 126 161 200 243 290 341 396 455 518 585
(((((x * 2) * 2) * 2) + 1) * x)
A139275: 0 9 34 75 132 205 294 399 520 657 810 979 1164 1365 1582 1815
(((((x * 2) * 2) * 2) - 1) * x)
A139274: 0 7 30 69 124 195 282 385 504 639 790 957 1140 1339 1554 1785
(((x + 1) div ((2 + 2) + 1)) + x)
A047256-A039252: 0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18
(((x * 2) div ((2 + 2) + 1)) + x)
A097506-A047381-A001951: 0 1 2 4 5 7 8 9 11 12 14 15 16 18 19 21
(((x div 2) div ((2 + 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A342851-A328781-A239016-A226134-A171397-A132781-A131058-A118764-A072544-A065039-A063742-A055572-A055571-A055570-A043095-A023804-A009994-A004746: 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16
((2 mod ((x div (2 + 2)) + 1)) + x)
A084690: 0 1 2 3 4 5 6 7 10
A272576-A039269-A039207-A039155-A007094-A000433: 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17
((((x * x) * (2 + 2)) + 1) * x)
A317297: 0 5 34 111 260 505 870 1379 2056 2925 4010 5335 6924 8801 10990 13515
((((x * x) * (2 + 2)) - 1) * x)
A035328: 0 3 30 105 252 495 858 1365 2040 2907 3990 5313 6900 8775 10962 13485
((((x * 2) + 1) * (2 + 1)) + x)
A017017: 3 10 17 24 31 38 45 52 59 66 73 80 87 94 101 108
((((x div 2) + 1) * (2 + 1)) + x)
A047204: 3 4 8 9 13 14 18 19 23 24 28 29 33 34 38 39
((((x * x) + 1) * (2 + 1)) + x)
A295089: 3 7 17 33 55 83 117 157 203 255 313 377 447 523 605 693
((((x + 1) * 2) * (2 + 1)) + x)
A017053: 6 13 20 27 34 41 48 55 62 69 76 83 90 97 104 111
((((x + 1) div 2) div (2 + 1)) + x)
A047303: 0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17
((((2 + 2) * 2) * (2 + 1)) - x)
A022980: 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9
((x div ((2 + 2) * (2 + 1))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A343268-A325202-A247762-A130572-A107909-A084176-A031996-A023805-A023753: 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16
(((x div (2 + 2)) * (2 + 1)) + x)
A295484: 0 1 2 3 7
A047361: 0 1 2 3 7 8 9 10 14 15 16 17 21 22 23 24
((((x div 2) * 2) div (2 + 1)) + x)
A047450-A039073: 0 1 2 3 5 6 8 9 10 11 13 14 16 17 18 19
((((x mod 2) + x) * (2 + 1)) + x)
A047521: 0 7 8 15 16 23 24 31 32 39 40 47 48 55 56 63
((((x mod 2) + x) div (2 + 1)) + x)
A047498-A039069: 0 1 2 4 5 7 8 9 10 12 13 15 16 17 18 20
(((((x - 2) * x) div 2) + 1) * x)
A323724: 0 0 2 6 20 40 78 126 200 288 410 550 732 936 1190 1470
(((((2 + 2) + 1) * x) + 1) * x)
A202803: 0 6 22 48 84 130 186 252 328 414 510 616 732 858 994 1140
(((((x + 2) + 1) * x) - 1) * x)
A064043: 0 3 18 51 108 195 318 483 696 963 1290 1683 2148 2691 3318 4035
(((((2 + 2) * 2) + x) + 1) * x)
A028569: 0 10 22 36 52 70 90 112 136 162 190 220 252 286 322 360
((x mod (((x div 2) * x) - 1)) + x)
A294369: 0 1 2 4 8 10
(((2 mod (x + 1)) * (x + 1)) + x)
A061570: 0 1 8 11 14 17 20 23 26 29 32 35 38 41 44 47
((((2 + 2) * 2) * (x + 1)) + x)
A017257: 8 17 26 35 44 53 62 71 80 89 98 107 116 125 134 143
((((x + 2) * 2) * (x + 1)) + x)
A091823: 4 13 26 43 64 89 118 151 188 229 274 323 376 433 494 559
((((x * x) + 2) * (x + 1)) + x)
A270109: 2 7 20 47 94 167 272 415 602 839 1132 1487 1910 2407 2984 3647
((2 - ((2 - x) * (x - 1))) * x)
A242659: 0 2 4 12 32 70 132 224 352 522 740 1012 1344 1742 2212 2760
((((x * x) * (x * x)) + 1) * x)
A131471: 0 2 34 246 1028 3130 7782 16814 32776 59058 100010 161062 248844 371306 537838 759390
((((x * x) * (x * x)) - 1) * x)
A061167: 0 0 30 240 1020 3120 7770 16800 32760 59040 99990 161040 248820 371280 537810 759360
((x mod (((2 + 2) + 1) * 2)) + x)
A230099: 0 2 4 6 8 10 12 14 16 18 10 12 14 16 18 20
((x mod (((2 + 2) + 1) * 2)) * x)
A098736-A063462: 0 1 4 9 16 25 36 49 64 81 0 11 24 39 56 75
(((x div ((2 + 2) + 1)) * 2) + x)
A047337-A039049-A037466: 0 1 2 3 4 7 8 9 10 11 14 15 16 17 18 21
(((x mod ((2 + 2) + 1)) * 2) - x)
A073792: 0 1 2 3 4 ~5 ~4 ~3 ~2 ~1 ~10 ~9 ~8 ~7 ~6 ~15
((((x + 2) * (2 + 1)) + 2) * x)
A140677: 0 11 28 51 80 115 156 203 256 315 380 451 528 611 700 795
((((x * 2) div (2 + 1)) * 2) + x)
A047347: 0 1 4 7 8 11 14 15 18 21 22 25 28 29 32 35
((((x div 2) div (2 + 1)) * 2) + x)
A047602-A039076-A037471: 0 1 2 3 4 5 8 9 10 11 12 13 16 17 18 19
(((2 mod ((x div 2) + 1)) * 2) + x)
A161641: 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19
(((x mod ((x div 2) + 1)) div 2) + x)
A172269-A087066-A045774-A045681-A020656: 0 1 2 3 4 6 7 8 9 11 12 13 14 16 17 18
((((x + 2) * (x + 1)) div 2) + x)
A058759: 1 4 8 13
A034856: 1 4 8 13 19 26 34 43 53 64 76 89 103 118 134 151
(((((2 + 2) + 1) * 2) * 2) + x)
A008553: 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
(((((2 + 2) + 1) * 2) * 2) - x)
A022976: 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5
(((x mod ((2 + 1) * 2)) * 2) - x)
A073793: 0 1 2 3 4 5 ~6 ~5 ~4 ~3 ~2 ~1 ~12 ~11 ~10 ~9
((((x div (2 + 1)) * 2) * 2) + x)
A047354: 0 1 2 7 8 9 14 15 16 21 22 23 28 29 30 35
(((((x * 2) + 1) * 2) * 2) + x)
A017209: 4 13 22 31 40 49 58 67 76 85 94 103 112 121 130 139
(((((x * 2) + 1) * 2) * 2) - x)
A017029: 4 11 18 25 32 39 46 53 60 67 74 81 88 95 102 109
((((2 mod (x + 1)) + 2) * 2) + x)
A177711-A115945: 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23
(((((2 + 2) * 2) * 2) * 2) + x)
A115421: 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
(((((2 + 2) * 2) * 2) * 2) - x)
A022988: 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17
(1 mod ((((2 + 2) * 2) * 2) - x))
A340369-A307430-A194325-A025451: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0
(2 div ((((2 + 2) * 2) * 2) - x))
A332640-A325719-A325649-A297238: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
(((x mod ((2 + 2) * 2)) * 2) - x)
A073795: 0 1 2 3 4 5 6 7 ~8 ~7 ~6 ~5 ~4 ~3 ~2 ~1
(((((x div 2) + 2) * 2) * 2) + x)
A174041: 8 9 14 15 20 21 26 27 32 33 38 39 44 45 50 51
((x div (1 - ((2 + 2) * 2))) + x)
A172475: 0 0 1 2 3 4 5 6 6 7 8 9 10 11 12 12
(((x - (x div (2 + 2))) div 2) + x)
A063732: 0 1 3 4 5 7 8 10 11 12 14 15 16 18 19 21
((x div (((x div 2) + 2) + 2)) + x)
A052419-A004726: 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16
(((x - ((x div 2) mod 2)) div 2) + x)
A047237: 0 1 2 4 6 7 8 10 12 13 14 16 18 19 20 22
((x - ((1 - x) * (2 + 2))) * x)
A051624: 0 1 12 33 64 105 156 217 288 369 460 561 672 793 924 1065
((((x + 2) * x) div (2 + 2)) + x)
A079524: 0 1 4 6 10 13 18 22 28 33 40 46 54 61 70 78
((((x * x) * x) + (2 + 2)) * x)
A180354: 0 5 24 93 272 645 1320 2429 4128 6597 10040 14685 20784 28613 38472 50685
(((((x + 1) * x) + 2) * 2) + x)
A100037: 4 9 18 31 48 69 94 123 156 193 234 279 328 381 438 499
(((((x - 1) * x) div 2) - 2) * x)
A341768: 0 ~2 ~2 3 16 40 78 133 208 306 430 583 768 988 1246 1545
((((x + 2) * (x + 2)) div 2) + x)
A125622: 2 5 10 15 22
((x - ((1 - (x * 2)) * 2)) * x)
A147874: 0 3 16 39 72 115 168 231 304 387 480 583 696 819 952 1095
((((x * x) + (x mod 2)) + 2) * x)
A020875: 0 4 12 36 72 140 228 364 528 756 1020 1364 1752 2236 2772 3420
(((((2 + 2) + 1) * x) + 2) * x)
A168668: 0 7 24 51 88 135 192 259 336 423 520 627 744 871 1008 1155
(((((x * x) + 1) * x) + 2) * x)
A054603: 0 4 24 96 280 660 1344 2464 4176 6660 10120 14784 20904 28756 38640 50880
(((((2 + 2) * 2) + x) + 2) * x)
A098603: 0 11 24 39 56 75 96 119 144 171 200 231 264 299 336 375
(((((x div 2) mod 2) + x) * 2) + x)
A108752: 0 3 8 11 12 15 20 23 24 27 32 35 36 39 44 47
(((((x div 2) mod 2) + x) div 2) + x)
A047273: 0 1 3 5 6 7 9 11 12 13 15 17 18 19 21 23
(2 - (1 mod (((2 - x) * 2) - x)))
A145441: 1 2 3 6 9 12 15 18 21 24
((((x * 2) * 2) div (x + 2)) + x)
A139283: 0 2 4 5 6 7 9 10 11 12 13 14 15 16 17 18
((x - ((2 - x) * (x * 2))) * x)
A015238: 0 ~1 4 27 80 175 324 539 832 1215 1700 2299 3024 3887 4900 6075
((((2 + 2) + 1) * (x div 2)) + x)
A047274: 0 1 7 8 14 15 21 22 28 29 35 36 42 43 49 50
((((x * 2) + 1) * (x div 2)) + x)
A074377: 0 1 7 10 22 27 45 52 76 85 115 126 162 175 217 232
((((x * x) * (x * x)) - 2) * x)
A242436: 0 ~1 28 237 1016 3115 7764 16793 32752 59031 99980 161029 248808 371267 537796 759345
(((((2 + 1) * 2) + 1) * x) * x)
A033582: 0 7 28 63 112 175 252 343 448 567 700 847 1008 1183 1372 1575
(((((x + 1) * 2) + 1) * x) * x)
A275709: 0 5 28 81 176 325 540 833 1216 1701 2300 3025 3888 4901 6076 7425
(((((x + 2) * 2) + 1) * x) * x)
A163683: 0 7 36 99 208 375 612 931 1344 1863 2500 3267 4176 5239 6468 7875
(((((x - 2) * 2) - 1) * x) * x)
A015240: 0 ~3 ~4 9 48 125 252 441 704 1053 1500 2057 2736 3549 4508 5625
((((2 + 2) * (2 + 1)) + x) * x)
A098847: 0 13 28 45 64 85 108 133 160 189 220 253 288 325 364 405
((((2 + 2) * (2 + 1)) - x) * x)
A257401: 0 11 20
((((x * x) * (2 + 1)) + x) * x)
A294315: 0 4 28 90 208 400 684 1078 1600 2268 3100 4114 5328 6760 8428 10350
(((((x * x) * 2) - 1) * x) * x)
A002593: 0 1 28 153 496 1225 2556 4753 8128 13041 19900 29161 41328 56953 76636 101025
((x - ((x * x) * (1 - x))) * x)
A309372: 0 1 12 63 208 525 1116 2107 3648 5913 9100 13431 19152 26533 35868 47475
(((((x + 1) * x) + 1) * x) * x)
A100019: 0 3 28 117 336 775 1548 2793 4672 7371 11100 16093 22608 30927 41356 54225
(((((x - 1) * x) - 1) * x) * x)
A132998: 0 ~1 4 45 176 475 1044 2009 3520 5751 8900 13189 18864 26195 35476 47025
((((2 + 2) * (x + 1)) + x) * x)
A135705: 0 9 28 57 96 145 204 273 352 441 540 649 768 897 1036 1185
(((((x * x) * x) - 1) * x) * x)
A135497: 0 0 28 234 1008 3100 7740 16758 32704 58968 99900 160930 248688 371124 537628 759150
(((((2 + 2) * 2) * 2) + x) * x)
A098849: 0 17 36 57 80 105 132 161 192 225 260 297 336 377 420 465
(((((x + 2) + 2) + 2) * x) * x)
A126562: 0 7 32 81 160 275 432 637 896 1215 1600 2057 2592 3211 3920 4725
(((2 + 2) * (2 + 1)) + (x * x))
A241748: 12 13 16 21 28 37 48 61 76 93 112 133 156 181 208 237
(((x * 2) div (2 + 1)) + (x * x))
A240438: 0 1 5 11 18 28 40 53 69 87 106 128 152 177 205 235
((((2 + 2) * 2) * 2) + (x * x))
A241751: 16 17 20 25 32 41 52 65 80 97 116 137 160 185 212 241
(((x * x) div (2 + 2)) + (x * x))
A032527: 0 1 5 11 20 31 45 61 80 101 125 151 180 211 245 281
(1 - ((2 + 2) mod (2 - (x * x))))
A048873: 1 1 1 4 11
(((x * x) * (x * x)) * (x * x))
A001014: 0 1 64 729 4096 15625 46656 117649 262144 531441 1000000 1771561 2985984 4826809 7529536 11390625
(1 - (((x * x) * x) * (x * x)))
A024003: 1 0 ~31 ~242 ~1023 ~3124 ~7775 ~16806 ~32767 ~59048 ~99999 ~161050 ~248831 ~371292 ~537823 ~759374
(if (if (x mod (2 + 2)) <= 0 then x else 0) <= 0 then 1 else 0)
A345008: 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1
(if (if (x - 2) <= 0 then x else (x mod 2)) <= 0 then 1 else 0)
A267043: 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0
(loop(\(x,i).(x * 2),x,2) + (if x <= 0 then 1 else 0))
A198633: 3 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536
loop(\(x,i).((x + 1) * 2),x,(if x <= 0 then 1 else 0))
A095121: 1 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534
loop(\(x,i).((x + 2) * 2),x,(if x <= 0 then 1 else 0))
A269712-A173033: 1 4 12 28 60 124 252 508 1020 2044 4092 8188 16380 32764 65532 131068
(if x <= 0 then 1 else (if (x - 1) <= 0 then (2 + 2) else 0))
A274981: 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then (if x <= 0 then 1 else (2 + 2)) else 0)
A175372: 1 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then (if x <= 0 then 1 else (x * 2)) else 0)
A166926: 1 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((if x <= 0 then i else x) - 1),(x * 2),0)
A261693: 0 1 3 1 7 5 3 1 15 13 11 9 7 5 3 1
loop(\(x,i).(x * 2),x,(1 - (if x <= 0 then 2 else 0)))
A171449: ~1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
(loop(\(x,i).(x * 2),x,1) + (if x <= 0 then 2 else 0))
A171559: 3 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
loop(\(x,i).loop(\(x,i).((x * 2) * 2),x,1),x,0)
A114561: 0 1 4 256 4611686018427387903
loop(\(x,i).((if x <= 0 then 1 else 2) * (x + 1)),x,0)
A296953: 0 1 4 10 22 46 94 190 382 766 1534 3070 6142 12286 24574 49150
loop(\(x,i).(if (x - 1) <= 0 then i else (x - 1)),x,0)
A341707: 0 1 2 1 4 3 2 1 8 7 6 5 4 3 2 1
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + 1),x,0)
A076131: 0 1 5 41 657 21025 1345601 172236929 44092653825 22575438758401 23117249288602625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0))
A006257: 0 1 1 3 1 3 5 7 1 3 5 7 9 11 13 15
loop(\(x,i).((if x <= 0 then 1 else x) + (x * 2)),x,0)
A088110: 0 1 3 9
A140429: 0 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969
loop(\(x,i).(if x <= 0 then 1 else ((i * x) + 2)),x,0)
A296943: 0 1 4 14 58 292 1754 12280 98242 884180 8841802 97259824 1167117890 15172532572 212415456010 3186231840152
loop(\(x,i).(loop(\(x,i).(x * 2),x,1) + x),x,0)
A034797: 0 1 3 11 2059
loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),x,0)
A088110: 0 1 3 9
A180632: 0 1 3 9 33 153
A007489: 0 1 3 9 33 153 873 5913 46233 409113 4037913 43954713 522956313 6749977113 93928268313 1401602636313
loop(\(x,i).(loop(\(x,i).(i * x),i,1) - x),x,0)
A005165: 0 1 1 5 19 101 619 4421 35899 326981 3301819 36614981 442386619 5784634181 81393657019 1226280710981
loop(\(x,i).((if (i - x) <= 0 then 0 else i) + x),x,0)
A003817: 0 1 3 3 7 7 7 7 15 15 15 15 15 15 15 15
((if (x mod 2) <= 0 then (if x <= 0 then 0 else 2) else 0) + 1)
A153284: 1 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1
(if (x mod 2) <= 0 then (if x <= 0 then 1 else 2) else (0 - 1))
A280193: 1 ~1 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1 2 ~1
(loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1)
A080079: 1 2 1 4 3 2 1 8 7 6 5 4 3 2 1 16
(loop(\(x,i).((if x <= 0 then 1 else x) * 2),x,0) + 1)
A083318: 1 3 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385 32769
loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then x else 0),1)
A059222: 1 1 4 1 16 1 64 1 256 1 1024 1 4096 1 16384 1
((if (x mod 2) <= 0 then x else 1) + (if x <= 0 then 0 else 1))
A007389: 0 2 3 2 5 2 7 2 9 2 11 2 13 2 15 2
loop(\(x,i).(i * x),(x - 1),(if x <= 0 then 0 else 1))
A104150: 0 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200
loop(\(x,i).(x * 2),(x - 2),(if x <= 0 then 0 else 1))
A166444: 0 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192
loop(\(x,i).(x * 2),(x div 2),(if x <= 0 then 0 else 1))
A131572: 0 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128
(loop(\(x,i).(x * x),x,2) + (if x <= 0 then 0 else 1))
A290200-A269834: 2 5 17 257 65537
loop(\(x,i).(i * x),loop(\(x,i).(x * 2),x,1),1)
A000722: 1 2 24 40320 20922789888000 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,1) + 1)
A126884: 2 3 9 65 1025 32769 2097153 268435457 68719476737 35184372088833 36028797018963969 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,1) - 1)
A126883: 0 1 7 63 1023 32767 2097151 268435455 68719476735 35184372088831 36028797018963967 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(i * x),i,x),x,1) + 1)
A019515: 2 2 3 13 289 34561 24883201 125411328001 5056584744960001 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(i * x),i,x),x,1) - 1)
A030428: 0 0 1 11 287 34559 24883199 125411327999 5056584744959999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if ((if x <= 0 then 1 else x) mod (2 + 1)) <= 0 then 2 else 1)
A100063: 1 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A277872-A164115-A107453: 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1
(if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1)
A040005: 2 1 4 1 4 1 4 1 4 1 4 1 4 1 4 1
loop(\(x,i).loop(\(x,i).(x * 2),x,1),x,(2 + 1))
A162185: 3 8 256 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),i,x),x,(2 + 1))
A060377: 3 9 6561 4611686018427387903
(if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) div 2) else 1)
A177815: 1 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1
(loop(\(x,i).loop(\(x,i).(x * x),i,x),x,2) + 1)
A101331: 3 5 257 4611686018427387903
(if x <= 0 then 0 else ((if (x mod 2) <= 0 then 1 else x) + 1))
A275365: 0 2 2 4 2 6 2 8 2 10 2 12 2 14 2 16
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + 1),x,1)
A318165: 1 3 13
A182104: 1 3 13 105 1681 53793 3442753 440672385 112812130561
A073587: 1 3 13 105 1681 53793 3442753 440672385 112812130561 57759810847233 59146046307566593 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),(i * x),1),x,1)
A000197: 1 1 2 720 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),(x div 2),2),x,1)
A271552: 1 2 4 16 4611686018427387903
loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),x,1)
A152423: 1 2 2 4 2 4 6 8 2 4 6 8 10 12 14 16
loop(\(x,i).(if (i - x) <= 0 then 1 else (x + 2)),x,1)
A323555-A323553: 1 1 3 1 3 5 7 1 3 5 7 9 11 13 15 1
loop(\(x,i).(x * x),x,loop(\(x,i).(x * 2),x,1))
A057156: 1 4 256 16777216 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i + x),x,loop(\(x,i).(x * 2),x,1))
A132109: 1 3 7 14 26 47 85 156 292 557 1079 2114 4174 8283 16489 32888
loop(\(x,i).(x - i),x,loop(\(x,i).(x * 2),x,1))
A014833: 1 1 1 2 6 17 43 100 220 467 969 1982 4018 8101 16279 32648
loop(\(x,i).(if (i - x) <= 0 then x else (x * 2)),x,1)
A098820: 1 1 2 4 4 8 8 8 8 16 16 16 16 16 16 16
loop(\(x,i).(if (x - 2) <= 0 then i else (x * 2)),x,1)
A098011: 1 1 2 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288
loop(\(x,i).loop(\(x,i).(x * 2),i,(x * 2)),x,1)
A036442: 1 4 32 512 16384 1048576 134217728 34359738368 17592186044416 18014398509481984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),i,(x * 2)),x,1)
A079682: 1 4 4096 4611686018427387903
loop(\(x,i).loop(\(x,i).((x + 1) * i),x,2),x,1)
A071107: 1 3 27 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,(x + 1))
A095340: 1 4 24 256 5120 196608 14680064 2147483648 618475290624 351843720888320 396316767208603648 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),i,x),x,(x + 1))
A096313: 1 2 6 48 1440 207360 174182400 1003290624000 45509262704640000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1)
A296613-A062383: 1 2 4 4 8 8 8 8 16 16 16 16 16 16 16 16
loop(\(x,i).((if (i mod 2) <= 0 then x else 1) + x),x,1)
A083416: 1 2 4 5 10 11 22 23 46 47 94 95 190 191 382 383
loop(\(x,i).(loop(\(x,i).(i * x),x,1) + x),x,1)
A329063: 1 2 4 28 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then x else 2) + x),x,1)
A123208: 1 3 6 8 16 18 36 38 76 78 156 158 316 318 636 638
loop(\(x,i).((if (i mod 2) <= 0 then i else 2) * x),x,1)
A222011: 1 2 4 8
A307611: 1 2 4 8 32
A271216: 1 2 4 8 32 64 384 768 6144 12288 122880 245760 2949120 5898240 82575360 165150720
loop(\(x,i).loop(\(x,i).(i * x),(i * 2),x),x,1)
A137592-A098694: 1 2 48 34560 1393459200 5056584744960000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),i,2) + x),x,1)
A066237: 1 3 7 19 67 307 1747 11827 92467 818227 8075827 87909427 1045912627 13499954227 187856536627 2803205272627
loop(\(x,i).((if x <= 0 then i else x) - 1),(x * x),1)
A334042: 1 0 3 6 15 6 27 14 63 46 27 6 111 86 59 30
loop(\(x,i).((if (x mod 2) <= 0 then 1 else x) + x),x,1)
A075427: 1 2 3 6 7 14 15 30 31 62 63 126 127 254 255 510
loop(\(x,i).((if (i mod 2) <= 0 then 2 else x) + x),x,1)
A222011: 1 2 4 8
A099942: 1 2 4 8 10 20 22 44 46 92 94 188 190 380 382 764
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + x),x,1)
A028362: 1 3 15 135 2295 75735 4922775 635037975 163204759575 83724041661975 85817142703524375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) - x),x,1)
A005329: 1 1 3 21 315 9765 615195 78129765 19923090075 10180699028325 10414855105976475 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then 2 else i) * x),x,1)
A081125: 1 1 2 6 12 60 120 840 1680 15120 30240 332640 665280 8648640 17297280 259459200
loop(\(x,i).loop(\(x,i).((i * x) * 2),i,x),x,1)
A108400: 1 2 16 768 294912 1132462080 52183852646400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if x <= 0 then 1 else 0) - (i * x)),x,1)
A009179: 1 ~1 3 ~9 37 ~185 1111 ~7777 62217 ~559953 5599531 ~61594841 739138093 ~9608795209 134523132927 ~2017846993905
loop(\(x,i).(i + x),x,loop(\(x,i).(i * x),x,1))
A101292: 1 2 5 12 34 135 741 5068 40356 362925 3628855 39916866 479001678 6227020891 87178291305 1307674368120
loop(\(x,i).loop(\(x,i).(i * x),i,(i * x)),x,1)
A152653: 1 1 4 72 6912 4147200 17915904000 632073093120000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * i) * x),i,x),x,1)
A055209: 1 1 4 144 82944 1194393600 619173642240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),(i * i),x),x,1)
A185995: 1 2 32 16384 1073741824 36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),(i * i),x),x,1)
A255322: 1 1 24 8709120 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),x,1) + i),x,1)
A189896: 1 2 4 27
A264930: 1 2 4 27 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + i),x,1)
A180435: 1 3 14 115 1844 59013 3776838 483435271 123759429384 63364827844617 64885583712887818 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (if x <= 0 then 1 else 2) else (0 - 2))
A280560: 1 ~2 2 ~2 2 ~2 2 ~2 2 ~2 2 ~2 2 ~2 2 ~2
(loop(\(x,i).((if x <= 0 then 1 else x) * 2),x,0) + 2)
A133140: 2 4 6 10 18 34 66 130 258 514 1026 2050 4098 8194 16386 32770
(loop(\(x,i).loop(\(x,i).(x * x),x,2),x,0) + 2)
A275000: 2 4 18 4611686018427387903
loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 0 else 2))
A171163: 0 2 2 4 16 256 65536 4294967296 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(if (x - 2) <= 0 then 1 else 2))
A171381: 1 2 4 16 32 64
(if x <= 0 then 1 else ((if (x - 2) <= 0 then x else 1) * 2))
A077748: 1 2 4 2 2
loop(\(x,i).(x * 2),(x - 2),(if x <= 0 then 1 else 2))
A090129: 1 2 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384
loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 1 else 2))
A165420: 1 2 2 4 16 256 65536 4294967296 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) + 1),x,(if x <= 0 then 1 else 2))
A052940: 1 5 11 23 47 95 191 383 767 1535 3071 6143 12287 24575 49151 98303
((if (x mod 2) <= 0 then 1 else x) * (if x <= 0 then 1 else 2))
A266722: 1 2 2 6 2 10 2 14 2 18 2 22 2 26 2 30
loop(\(x,i).((x + 1) * 2),x,(if x <= 0 then 1 else 2))
A134067: 1 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534 131070
loop(\(x,i).((x * 2) * 2),x,(if x <= 0 then 1 else 2))
A081654: 1 8 32 128 512 2048 8192 32768 131072 524288 2097152 8388608 33554432 134217728 536870912 2147483648
loop(\(x,i).((i * x) * 2),x,(if x <= 0 then 1 else 2))
A032184: 1 4 16 96 768 7680 92160 1290240 20643840 371589120 7431782400 163499212800 3923981107200 102023508787200 2856658246041600 85699747381248000
loop(\(x,i).((2 + 1) * x),x,(if x <= 0 then 1 else 2))
A099856: 1 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814
loop(\(x,i).((i * i) + x),x,(if x <= 0 then 1 else 2))
A179904: 1 3 7 16 32 57 93 142 206 287 387 508 652 821 1017 1242
loop(\(x,i).(x * 2),x,((if x <= 0 then 1 else 2) + 2))
A171497: 3 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (2 + 2)))
A146541: 1 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072
(if x <= 0 then 1 else (loop(\(x,i).(x * 2),x,2) + 2))
A134351: 1 6 10 18 34 66 130 258 514 1026 2050 4098 8194 16386 32770 65538
loop(\(x,i).loop(\(x,i).((x * 2) + 1),x,0),x,2)
A201363: 2 3 7
A007013: 2 3 7 127 4611686018427387903
loop(\(x,i).((if x <= 0 then (i * 2) else x) - 1),x,2)
A171960: 2 1 0 5 4 3 2 1 0 17 16 15 14 13 12 11
(if x <= 0 then 1 else ((2 div (if x <= 0 then 1 else x)) * 2))
A167891: 1 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).(x * 2),x,((if x <= 0 then 1 else x) mod 2))
A103424: 1 2 0 8 0 32 0 128 0 512 0 2048 0 8192 0 32768
loop(\(x,i).((if (i mod 2) <= 0 then x else 1) + x),x,2)
A066880: 2 3 6 7 14 15 30 31 62 63 126 127 254 255 510 511
loop(\(x,i).((if (2 - i) <= 0 then x else 1) + x),x,2)
A042950: 2 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152
loop(\(x,i).(loop(\(x,i).(x * x),i,2) + x),x,2)
A060803: 2 6 22 278 65814 4295033110 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),i,2) - x),x,2)
A325912: 2 2 14 242 65294 4294902002 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i - 2) <= 0 then 2 else x) + x),x,2)
A058764: 2 4 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152
loop(\(x,i).(x * 2),x,loop(\(x,i).(x * x),x,2))
A073113: 2 8 64 2048 1048576 137438953472 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i - 2) <= 0 then i else x) + x),x,2)
A257113: 2 3 5 10 20 40 80 160 320 640 1280 2560 5120 10240 20480 40960
loop(\(x,i).(loop(\(x,i).(i * x),i,x) + x),x,2)
A217757: 2 4 12 84 2100 254100 183206100 923541950100 37238134969982100 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (if x <= 0 then 1 else x) else (0 - x))
A274922: 1 ~1 2 ~3 4 ~5 6 ~7 8 ~9 10 ~11 12 ~13 14 ~15
loop(\(x,i).loop(\(x,i).(x * x),x,2),x,(1 - x))
A114560: 1 2 16 4611686018427387903
loop(\(x,i).(x * 2),(x - 2),(if x <= 0 then 1 else x))
A129952: 1 1 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880
(if loop(\(x,i).(x * x),(x * x),x) <= 0 then 1 else x)
A273400: 1 1 2 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * i) + x),x,0),2,x)
A329753: 0 1 55 1015 9455 56980 255346 924490 2850730 7757035 19096385 43312841 91753025 183453270 349074740 636310340
(if x <= 0 then 1 else loop(\(x,i).(x * 2),(x + 2),x))
A241204: 1 8 32 96 256 640 1536 3584 8192 18432 40960 90112 196608 425984 917504 1966080
loop(\(x,i).loop(\(x,i).(x * 2),i,x),(x - 2),x)
A123903: 0 1 2 6 32 320 6144 229376 16777216 2415919104 687194767360 387028092977152 432345564227567616 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(1 mod (if x <= 0 then 2 else x)))
A186949: 1 0 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
loop(\(x,i).loop(\(x,i).((i - x) div 2),x,x),2,x)
A143996: 0 0 0 0 1 0 1 1 1 1 1 2 2 2 1 1
loop(\(x,i).(loop(\(x,i).(x * x),i,x) * x),2,x)
A010803: 0 1 32768 14348907 1073741824 30517578125 470184984576 4747561509943 35184372088832 205891132094649 1000000000000000 4177248169415651 15407021574586368 51185893014090757 155568095557812224
loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)
A229878: 0 0 1 0 1 2
A298486-A189768-A166352-A163351-A025691-A025690-A025689-A025682-A025681-A025680-A025675-A025674-A025668-A025667-A025659-A025650-A002262: 0 0 1 0 1 2 0 1 2 3 0 1 2 3 4 0
loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),x,x)
A036782: 0 2 5 12 37 158 879 5920 46241 409122 4037923 43954724 522956325 6749977126 93928268327 1401602636328
loop(\(x,i).loop(\(x,i).(i - 1),(x - i),x),x,x)
A048151: 0 1 0 1 2 0 1 2 3 0 1 2 3 4 0 1
(1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x))
A200443-A200370-A200329-A200272: 1 1 2 1 3 2 1 4 3 2 1 5 4 3 2 1
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0)
A286935-A082784-A014646-A014548: 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0
(if (x mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 0)
A341025-A320320-A288325-A267142-A245040-A244172-A127843-A114099-A015899-A014063: 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A085856: 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0
(if (x div (((x - 2) * 2) - 1)) <= 0 then 1 else 0)
A204443: 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1
(if (x mod (((x - 2) * 2) - 1)) <= 0 then 1 else 0)
A183918: 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0
(if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 0)
A016258-A016180-A016128-A016050-A015972-A015946-A015816-A015790-A015712-A015660-A015478-A015426-A015400-A015348-A015322-A015270-A015166-A015088-A015036-A014958-A014932-A014880-A014802-A014776-A014698-A014620-A014568-A014542-A014490-A014412-A014386-A014308-A014256-A014230: 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0
(if (x mod ((2 + 2) * (2 + 1))) <= 0 then 1 else 0)
A321936-A293814-A282568-A240355-A181004-A155797-A097798-A056620: 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
(if ((x * x) mod ((x + 2) + 1)) <= 0 then 1 else 0)
A267417-A016347-A015989-A015269-A014045: 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
(if ((2 + 1) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A151666: 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0
(if ((x - 1) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A329677: 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0
(if (((2 + 2) + 1) mod (x + 1)) <= 0 then 1 else 0)
A254211-A240467-A047751-A016371-A014065-A014049: 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
(if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 0)
A016176-A016132-A016110-A016000-A015978-A015912-A015846-A015802-A015736-A015670-A015648-A015538-A015516-A015450-A015406-A015252-A015208-A015186-A015142-A015120-A015076-A014988-A014922-A014878-A014812-A014790-A014746-A014680-A014658-A014592-A014526-A014482-A014460-A014416-A014350-A014328-A014262-A014218-A014196: 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then 1 else 0)
A341026-A320321-A316898-A316897-A316893-A288326-A245041-A244173-A217096-A216809-A127844-A055641-A051907-A010109: 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
(if ((x mod ((2 + 2) + 1)) - 2) <= 0 then 1 else 0)
A230412: 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1
(if (x - 1) <= 0 then (((x + 1) * 2) + 1) else 0)
A152624: 3 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 1 else 0)
A342019-A335510-A324832-A323510-A295659-A244413-A188436-A116378-A104488-A083918-A083895-A078128-A072401-A064873-A056626-A044938-A037823-A026828-A026801: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
(if ((x - 1) mod ((2 + 2) * 2)) <= 0 then 1 else 0)
A098108: 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 1 else 0)
A186746: 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0
(if (x mod (((x div 2) + 2) + 2)) <= 0 then 1 else 0)
A297199: 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
loop(\(x,i).(i + x),(x div ((2 + 2) + 1)),0)
A270774: 0 0 0 0 0 1 1 1 1 1 3 3 3 3 3 6
(if (((x div 2) + x) mod (2 + 2)) <= 0 then 1 else 0)
A326072: 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0
(if (((x div 2) * x) mod (2 + 2)) <= 0 then 1 else 0)
A087049: 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0
(if ((((x mod 2) * x) div 2) - 2) <= 0 then 1 else 0)
A179775: 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0
(if ((x * x) mod ((x + 2) + 2)) <= 0 then 1 else 0)
A181000-A126010-A003982: 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0
(if (x - 1) <= 0 then (((x * 2) * 2) + 1) else 0)
A152623: 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if ((x * 2) mod ((x div 2) + 2)) <= 0 then 1 else 0)
A195198: 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0
loop(\(x,i).((i mod 2) - x),(x div (2 + 1)),0)
A242602: 0 0 0 1 1 1 ~1 ~1 ~1 2 2 2 ~2 ~2 ~2 3
(if (x mod (2 + 2)) <= 0 then (x mod (2 + 1)) else 0)
A182660: 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0
(if (x - 2) <= 0 then ((x * x) * (2 + 1)) else 0)
A181405: 0 3 12 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (((2 + 1) * 2) mod (x + 2)) <= 0 then 1 else 0)
A204843: 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
(if (((2 + 2) * 2) mod (x + 2)) <= 0 then 1 else 0)
A069845: 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0
(if ((x - (2 + 2)) * (x - 2)) <= 0 then 1 else 0)
A093314: 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0
(if ((x mod (2 + 2)) * (x - 2)) <= 0 then 1 else 0)
A036297: 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0
loop(\(x,i).((i * i) + x),((x * 2) + 1),0)
A100157: 1 14 55 140 285 506 819 1240 1785 2470 3311 4324 5525 6930 8555 10416
loop(\(x,i).((i + x) * (2 + 1)),(x + 1),0)
A290764: 3 15 54 174 537 1629 4908 14748 44271 132843 398562 1195722 3587205 10761657 32285016 96855096
loop(\(x,i).((i + x) * (2 + 2)),(x + 1),0)
A145655: 4 24 108 448 1812 7272 29116 116496 466020 1864120 7456524 29826144 119304628 477218568 1908874332 7635497392
loop(\(x,i).((i * i) * (i + x)),(x + 1),0)
A288035: 1 12 135 2224 55725 2006316 98309827 6291829440 509638185369 50963818537900 6166622043087231 887993574204562992 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 2) * (2 + 1)),(x - 1),0)
A058809: 0 0 6 24 78 240 726 2184 6558 19680 59046 177144 531438 1594320 4782966 14348904
loop(\(x,i).((i + 1) * (x + 1)),(x - 1),0)
A038156: 0 0 2 9 40 205 1236 8659 69280 623529 6235300 68588311 823059744 10699776685 149796873604 2246953104075
(1 - loop(\(x,i).((x - i) * 2),(x - 1),0))
A183155: 1 1 3 9 23 53 115 241 495 1005 2027 4073 8167 16357 32739 65505
loop(\(x,i).(((i * i) div 2) + x),(x - 1),0)
A212964: 0 0 0 2 6 14 26 44 68 100 140 190 250 322 406 504
loop(\(x,i).(((i - 2) * i) + x),(x - 1),0)
A058373: 0 0 ~1 ~1 2 10 25 49 84 132 195 275 374 494 637 805
((((x div 2) + 2) * 2) - (if x <= 0 then 1 else 0))
A263842: 3 4 6 6 8 8
(1 - (if (2 - x) <= 0 then (x div (0 - 2)) else 0))
A226142: 1 1 2 3 3 4 4
A120835: 1 1 2 3 3 4 4 5 5 6 6 7 7 8 8 9
(2 - (if (2 - x) <= 0 then (x div (0 - 2)) else 0))
A321667: 2 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10
(if ((x mod ((x mod 2) + 2)) - 1) <= 0 then 2 else 0)
A137934: 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2
(if (x mod 2) <= 0 then (x div ((2 + 2) * 2)) else 0)
A277153: 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0
(x - (1 - (if (x mod 2) <= 0 then (2 + 2) else 0)))
A165754: 3 0 5 2 7 4 9 6 11 8 13 10 15 12 17 14
(if (((2 + 2) + 1) mod (x + 2)) <= 0 then 2 else 0)
A005926: 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 1) <= 0 then (((2 + 1) * x) + 2) else 0)
A020773: 2 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (2 - x) <= 0 then (((x + 1) * x) div 2) else 0)
A057241: 0 0 3 6 10
loop(\(x,i).(((i * 2) + x) * 2),(x + 2),0)
A258547: 16 44 104 228 480 988 2008 4052 8144 16332 32712 65476 131008 262076 524216 1048500
loop(\(x,i).(((i div 2) * i) + x),(x + 2),0)
A049779: 2 5 13 23 41 62 94 130 180 235 307 385 483 588 716 852
((2 + 1) - (if (2 - x) <= 0 then (x - 2) else 0))
A215409: 3 3 3 2 1 0
loop(\(x,i).(((x * 2) * 2) + 1),(x * 2),0)
A195156: 0 5 85 1365 21845 349525 5592405 89478485 1431655765 22906492245 366503875925 5864062014805 93824992236885 1501199875790165 24019198012642645 384307168202282325
loop(\(x,i).(((2 + 1) * x) + 1),(x * 2),0)
A191681: 0 4 40 364 3280 29524 265720 2391484 21523360 193710244 1743392200 15690529804 141214768240 1270932914164 11438396227480 102945566047324
loop(\(x,i).(((0 - i) * x) - 1),(x * 2),0)
A306675: 0 1 15 455 25487 2293839 302786759 55107190151 13225725636255 4047072044694047 1537887376983737879 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),0)
A024101: 0 8 80 728 6560 59048 531440 4782968 43046720 387420488 3486784400 31381059608 282429536480 2541865828328 22876792454960 205891132094648
(x - loop(\(x,i).((x - i) * 2),(x * 2),0))
A289254: 0 9 54 243 1008 4077 16362 65511 262116 1048545 4194270 16777179 67108824 268435413 1073741778 4294967247
(if (x mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0)
A316866-A086013: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1
(1 - (if ((x div 2) - 2) <= 0 then (x mod 2) else 0))
A097456: 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1
(2 - (if ((x div 2) - 2) <= 0 then (x mod 2) else 0))
A127267: 2 1 2 1 2 1 2 2 2 2 2 2 2 2 2 2
(if ((2 - x) + 2) <= 0 then ((x * x) - 2) else 0)
A184220: 0 0 0 0 14 23 34 47 62 79 98 119 142 167 194 223
loop(\(x,i).(((x * 2) * (2 + 1)) + 1),x,0)
A003464: 0 1 7 43 259 1555 9331 55987 335923 2015539 12093235 72559411 435356467 2612138803 15672832819 94036996915
loop(\(x,i).(((x + 2) * (i + 1)) - 1),x,0)
A026243: 0 3 14 63 324 1955 13698 109599 986408 9864099 108505110 1302061343 16926797484 236975164803 3554627472074 56874039553215
loop(\(x,i).((((i + x) + 1) * 2) + 1),x,0)
A168617: 0 5 17 43 97 207 429 875 1769 3559 7141 14307 28641 57311 114653 229339
loop(\(x,i).((((x * 2) * 2) * 2) + 1),x,0)
A023001: 0 1 9 73 585 4681 37449 299593 2396745 19173961 153391689 1227133513 9817068105 78536544841 628292358729 5026338869833
(2 - loop(\(x,i).(((x * 2) * 2) - 1),x,0))
A201363: 2 3 7
A163834: 2 3 7 23 87 343 1367 5463 21847 87383 349527 1398103 5592407 22369623 89478487 357913943
loop(\(x,i).(((x - (i - 2)) * 2) + 1),x,0)
A061761: 0 3 7 13 23 41 75 141 271 529 1043 2069 4119 8217 16411 32797
loop(\(x,i).(((x + 2) + 1) * (2 + 1)),x,0)
A168569: 0 9 36 117 360 1089 3276 9837 29520 88569 265716 797157 2391480 7174449 21523356 64570077
loop(\(x,i).(((x + 1) * 2) * (2 + 1)),x,0)
A105281: 0 6 42 258 1554 9330 55986 335922 2015538 12093234 72559410 435356466 2612138802 15672832818 94036996914 564221981490
loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0)
A154917: 0 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461
A001045: 0 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923
loop(\(x,i).((((i mod 2) - x) * 2) - 1),x,0)
A225883: 0 1 ~3 7 ~15 31 ~63 127 ~255 511 ~1023 2047 ~4095 8191 ~16383 32767
loop(\(x,i).(((x mod 2) + (x * 2)) + 1),x,0)
A084639: 0 1 4 9 20 41 84 169 340 681 1364 2729 5460 10921 21844 43689
(if (x - 2) <= 0 then (((x * 2) - 1) * x) else 0)
A186685: 0 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0
((x mod 2) - loop(\(x,i).((x * 2) - 1),x,0))
A166920: 0 2 3 8 15 32 63 128 255 512 1023 2048 4095 8192 16383 32768
loop(\(x,i).((((i + x) + x) * 2) - 1),x,0)
A141291: 0 1 7 33 139 565 2271 9097 36403 145629 582535 2330161 9320667 37282693 149130799 596523225
loop(\(x,i).((i * x) - ((i mod 2) - 1)),x,0)
A080227: 0 0 1 3 13 65 391 2737 21897 197073 1970731 21678041 260136493 3381774409 47344841727 710172625905
loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,0)
A003463: 0 1 6 31 156 781 3906 19531 97656 488281 2441406 12207031 61035156 305175781 1525878906 7629394531
loop(\(x,i).((((i + 2) + 1) * x) + 1),x,0)
A079751: 0 1 6 37 260 2081 18730 187301 2060312 24723745 321408686 4499721605 67495824076 1079933185217 18358864148690 330459554676421
loop(\(x,i).((((i * 2) - 1) * x) + 1),x,0)
A286286: 0 1 4 21 148 1333 14664 190633 2859496 48611433 923617228 19395961789 446107121148 11152678028701 301122306774928 8732546896472913
(1 - loop(\(x,i).(((i + 1) * x) - 1),x,0))
A094294: 1 2 5 18 87 518 3621 28962 260651 2606502 28671513 344058146 4472755887 62618582406 939278736077 15028459777218
loop(\(x,i).((((i + 1) div 2) * x) + 1),x,0)
A192225: 0 1 2 5
A254342: 0 1 2 5 11 34
loop(\(x,i).(((x div (2 + 2)) + x) + 1),x,0)
A279075: 0 1 2 3 4 6 8 11 14 18 23 29 37 47 59 74
loop(\(x,i).(((2 + 2) + 1) * (x + 1)),x,0)
A104891: 0 5 30 155 780 3905 19530 97655 488280 2441405 12207030 61035155 305175780 1525878905 7629394530 38146972655
loop(\(x,i).(((i + 2) + 1) * (x + 1)),x,0)
A079750: 0 4 25 156 1099 8800 79209 792100 8713111 104557344 1359245485 19029436804 285441552075 4567064833216 77640102164689 1397521838964420
loop(\(x,i).(((x * x) + 1) * (x + 1)),x,0)
A055776: 0 1 4 85 621436 239988219843053389 4611686018427387903
loop(\(x,i).(i - ((i + 1) mod (x + 1))),x,0)
A092323: 0 1 1 3 3 3 3 7 7 7 7 7 7 7 7 15
loop(\(x,i).((((i + x) * 2) + i) - 1),x,0)
A213387: 0 2 9 26 63 140 297 614 1251 2528 5085 10202 20439 40916 81873 163790
loop(\(x,i).(((x * 2) + 1) mod (i + 1)),x,0)
A064434: 0 1 0 1 3 1 3 7 6 3 7 3 7 1 3 7
loop(\(x,i).(((x * x) + 1) mod (i + 1)),x,0)
A330405: 0 1 2 1 2 5 5 2 5 6 4 5 0 1 2 5
loop(\(x,i).((x * 2) - (i div (0 - 2))),x,0)
A178420: 0 1 3 8 18 39 81 166 336 677 1359 2724 5454 10915 21837 43682
loop(\(x,i).(x - ((i * i) div (0 - 2))),x,0)
A131941: 0 1 3 8 16 29 47 72 104 145 195 256 328 413 511 624
loop(\(x,i).((((x * 2) * 2) + 1) * 2),x,0)
A125835: 0 2 18 146 1170 9362 74898 599186 4793490 38347922 306783378 2454267026 19634136210 157073089682 1256584717458 10052677739666
loop(\(x,i).(((x + 2) * (2 + 1)) + 2),x,0)
A302507: 0 8 32 104 320 968 2912 8744 26240 78728 236192 708584 2125760 6377288 19131872 57395624
loop(\(x,i).((((i * 2) + x) - 1) * 2),x,0)
A051667: 0 2 10 30 74 166 354 734 1498 3030 6098 12238 24522 49094 98242 196542
loop(\(x,i).(((x + 2) * (x + 1)) div 2),x,0)
A072638: 0 1 3 10 66 2278 2598060 3374961778891 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) + 1) * 2) * 2),x,0)
A108019: 0 4 36 292 2340 18724 149796 1198372 9586980 76695844 613566756 4908534052 39268272420 314146179364 2513169434916 20105355479332
loop(\(x,i).((((x + 2) + 2) * 2) * 2),x,0)
A247817: 0 16 80 336 1360 5456 21840 87376 349520 1398096 5592400 22369616 89478480 357913936 1431655760 5726623056
(1 - loop(\(x,i).((x - (2 + 2)) * 2),x,0))
A048490: 1 9 25 57 121 249 505 1017 2041 4089 8185 16377 32761 65529 131065 262137
loop(\(x,i).(((i + x) * (2 + 2)) * 2),x,0)
A145729: 0 8 80 664 5344 42792 342384 2739128 21913088 175304776 1402438288 11219506392 89756051232 718048409960 5744387279792 45955098238456
(1 - loop(\(x,i).(((x - 2) * 2) * 2),x,0))
A083584: 1 9 41 169 681 2729 10921 43689 174761 699049 2796201 11184809 44739241 178956969 715827881 2863311529
loop(\(x,i).((i + x) - (x div (2 + 2))),x,0)
A220657: 0 1 3 6 9 12 15 19 23 27 31 35 39 43 47 51
loop(\(x,i).(((i + x) + x) * (2 + 2)),x,0)
A145730: 0 4 40 332 2672 21396 171192 1369564 10956544 87652388 701219144 5609753196 44878025616 359024204980 2872193639896 22977549119228
loop(\(x,i).((((x - 1) * x) div 2) + 2),x,0)
A108225: 0 2 3 5 12 68 2280 2598062 3374961778893 4611686018427387903 4611686018427387903
loop(\(x,i).(((i mod 2) + (x * 2)) * 2),x,0)
A117616: 0 2 8 34 136 546 2184 8738 34952 139810 559240 2236962 8947848 35791394 143165576 572662306
loop(\(x,i).(i - (x div ((x mod 2) - 2))),x,0)
A138037: 0 1 3 6 7 12 12 13 21 30 25 36 30 28 28 29
(1 - loop(\(x,i).((x - (i * 2)) * 2),x,0))
A247618: 1 5 17 45 105 229 481 989 2009 4053 8145 16333 32713 65477 131009 262077
(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,0))
A283642: 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923 21845 43691
loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,0)
A125831-A121177: 0 2 12 62 312 1562 7812 39062 195312 976562 4882812 24414062 122070312 610351562 3051757812 15258789062
loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,0)
A175164: 0 16 48 112 240 496 1008 2032 4080 8176 16368 32752 65520 131056 262128 524272
loop(\(x,i).((i * i) - ((2 - x) div 2)),x,0)
A208951: 0 0 3 10 20 34 52 74
loop(\(x,i).((i * i) + x),((x + 2) * x),0)
A109764: 0 14 204 1240 4900 14910 38024 85344 173880 328350 583220 984984 1594684 2490670 3771600 5559680
(1 - loop(\(x,i).((i * 2) * (x - 2)),x,0))
A085644: 1 5 25 157 1265 12661 151945 2127245 34035937 612646885 12252937721 269564629885 6469551117265 168208329048917 4709833213369705 141294996401091181
loop(\(x,i).((i div (2 + 1)) + (x * 2)),x,0)
A178455: 0 0 0 1 3 7 16 34 70 143 289 581 1166 2336 4676 9357
loop(\(x,i).((2 div (i + 1)) - (x * 2)),x,0)
A325744: 0 1 ~2 4 ~8 16 ~32 64 ~128 256 ~512 1024 ~2048 4096 ~8192 16384
loop(\(x,i).(((i div 2) + x) + (x * 2)),x,0)
A097137: 0 0 1 4 14 44 135 408 1228 3688 11069 33212 99642 298932 896803 2690416
loop(\(x,i).(((x + 2) * 2) - (x div 2)),x,0)
A140260: 0 4 10 19 33 54 85 132 202 307 465 702 1057 1590 2389 3588
(1 - (if (x - 2) <= 0 then ((x mod 2) - x) else 0))
A103755: 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
(1 - (x - loop(\(x,i).((i + x) * 2),x,0)))
A123203: 1 2 7 20 49 110 235 488 997 2018 4063 8156 16345 32726 65491 131024
(1 - loop(\(x,i).((x - (i - x)) * 2),x,0))
A318165: 1 3 13
A302757: 1 3 13 55 225 907 3637 14559 58249 233011 932061 3728263 14913073 59652315 238609285 954437167
(1 - (x - loop(\(x,i).((i * x) + 2),x,0)))
A286282: 1 2 5 18 79 408 2469 17314 138555 1247052 12470593 137176614 1646119479 21399553360 299593747197 4493906208138
loop(\(x,i).(((x * 2) * 2) + (i div 2)),x,0)
A097138: 0 0 1 5 22 90 363 1455 5824 23300 93205 372825 1491306 5965230 23860927 95443715
loop(\(x,i).(((i * i) + x) + (i mod 2)),x,0)
A171218: 0 2 6 16 32 58 94 144 208 290 390 512 656 826 1022 1248
loop(\(x,i).(x - (i - ((i * i) * 2))),x,0)
A002412: 0 1 7 22 50 95 161 252 372 525 715 946 1222 1547 1925 2360
loop(\(x,i).(((i + x) * (2 + 1)) + x),x,0)
A078904: 0 3 18 81 336 1359 5454 21837 87372 349515 1398090 5592393 22369608 89478471 357913926 1431655749
loop(\(x,i).(((i * i) div (2 + 1)) + x),x,0)
A181286: 0 0 1 4 9 17 29 45 66 93 126 166 214 270 335 410
loop(\(x,i).((i div ((i mod 2) + 1)) - x),x,0)
A131119: 0 0 2 ~1 5 ~3 9 ~6 14 ~10 20 ~15 27 ~21 35 ~28
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0)
A024049: 0 4 24 124 624 3124 15624 78124 390624 1953124 9765624 48828124 244140624 1220703124 6103515624 30517578124
loop(\(x,i).(((i + 2) * (x + 1)) + x),x,0)
A139176: 0 3 19 119 839 6719 60479 604799 6652799 79833599 1037836799 14529715199 217945727999 3487131647999 59281238015999 1067062284287999
loop(\(x,i).(((i * 2) * (x + 1)) - x),x,0)
A093303: 0 2 10 56 400 3610 39722 516400 7746016 131682290 2501963530 52541234152 1208448385520 30211209638026 815702660226730 23655377146575200
loop(\(x,i).(((i * i) * (i + 1)) + x),x,0)
A153978: 0 2 14 50 130 280 532 924 1500 2310 3410 4862 6734 9100 12040 15640
loop(\(x,i).(((i div 2) * (i - 1)) - x),x,0)
A245288: 0 0 1 1 5 3 12 6 22 10 35 15 51 21 70 28
loop(\(x,i).(((i * i) div (2 + 2)) + x),x,0)
A173196: 0 0 1 3 7 13 22 34 50 70 95 125 161 203 252 308
loop(\(x,i).((((i * i) + 2) * 2) + x),x,0)
A059834: 0 6 18 40 76 130 206 308 440 606 810 1056 1348 1690 2086 2540
loop(\(x,i).((((i * i) * i) div 2) + x),x,0)
A198297: 0 0 4 17
A173704: 0 0 4 17 49 111 219 390 646 1010 1510 2175 3039 4137 5509 7196
(loop(\(x,i).((x * x) * x),(x * x),x) * 0)
A338982: 0 0 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) + 1) * i) + x),x,0)
A249349: 0 1 7 52 472 5197 67567 1013512 17229712 327364537 6874655287 158117071612 3952926790312 106729023338437 3095141676814687 95949391981255312
loop(\(x,i).((((i * 2) + 1) * i) + x),x,0)
A016061: 0 3 13 34 70 125 203 308 444 615 825 1078 1378 1729 2135 2600
loop(\(x,i).(((i mod 2) * 2) + (i * x)),x,0)
A306150: 0 2 4 14 56 282 1692 11846 94768 852914 8529140 93820542 1125846504 14636004554 204904063756 3073560956342
(1 - loop(\(x,i).(x - ((i * i) - x)),x,0))
A183156: 1 2 7 22 59 142 319 686 1435 2950 5999 12118 24379 48926 98047 196318
loop(\(x,i).(((i * i) * (i * i)) + x),x,0)
A000538: 0 1 17 98 354 979 2275 4676 8772 15333 25333 39974 60710 89271 127687 178312
(1 - loop(\(x,i).(((x * 2) - 1) * i),x,0))
A308876: 1 2 7 40 317 3166 37987 531812 8508985 153161722 3063234431 67391157472 1617387779317 42052082262230 1177458303342427 35323749100272796
(1 - loop(\(x,i).(((x - 2) * 2) - i),x,0))
A101945: 1 6 17 40 87 182 373 756 1523 3058 6129 12272 24559 49134 98285 196588
loop(\(x,i).(((x + 2) * (x + 2)) - i),x,0)
A143985: 0 3 23 622 389372 151612111871 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - 2) * (x - 2)) - i),x,0)
A143984: 0 3 ~1 6 12 95 8643 74666874 5575141774264376 4611686018427387903 4611686018427387903
(1 - loop(\(x,i).(((x - i) * 2) - i),x,0))
A101946: 1 4 13 34 79 172 361 742 1507 3040 6109 12250 24535 49108 98257 196558
loop(\(x,i).((((i * i) * i) + x) * i),x,0)
A337002: 0 1 18 135 796 4605 28926 204883 1643160 14795001 147960010 1627574751 19530917748 253901959285 3554627468406 53319412076715
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)
A109720: 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1
(if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else 1)
A168182: 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A190239-A120529: 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1
(if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A188038: 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1
(if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A179850: 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1
(if ((x div 2) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A102669: 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1
(if ((x div (0 - 2)) mod (2 + 1)) <= 0 then 0 else 1)
A131719: 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1
(if (x mod ((2 + 2) * (2 + 1))) <= 0 then 0 else 1)
A168185: 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1
(if ((x * 2) mod ((x div 2) + 1)) <= 0 then 0 else 1)
A087101: 0 0 0 0 1 1 0 1 1
(if ((x * x) mod ((x div 2) + 1)) <= 0 then 0 else 1)
A272817: 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1
(if (((2 + 2) + 1) mod (x + 1)) <= 0 then 0 else 1)
A132312: 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1
((if ((x mod (2 + 1)) - 1) <= 0 then 2 else 0) + 1)
A144437: 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 1)
A336682-A168184-A168046: 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1
(if ((x - 2) mod ((2 + 1) * 2)) <= 0 then 0 else 1)
A127254: 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1
((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)
A176415: 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1
(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))
A051176: 0 1 2 1 4 5 2 7 8 3 10 11 4 13 14 5
((if ((x - 1) mod (2 + 2)) <= 0 then 2 else 0) + 1)
A007362: 1 3 1 1 1 3 1 1
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 0 else 1)
A212793-A071374: 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 0 else 1)
A157972: 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1
(if (((x div 2) + x) mod (2 + 2)) <= 0 then 0 else 1)
A285418: 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1
((x * 2) - (if (x - (2 + 2)) <= 0 then 0 else 1))
A345436: 0 2 4 6 8 9 11 13 15 17 19 21 23 25 27 29
((x * 2) - (if (x mod (2 + 2)) <= 0 then 0 else 1))
A047624: 0 1 3 5 8 9 11 13 16 17 19 21 24 25 27 29
(if ((x * x) mod ((x + 2) + 2)) <= 0 then 0 else 1)
A257680: 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1
(if ((x mod (2 + 2)) * (x - 2)) <= 0 then 0 else 1)
A252743: 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1
loop(\(x,i).((0 - i) * x),(x - 1),(0 - 1))
A155456: ~1 ~1 1 ~2 6 ~24 120 ~720 5040 ~40320 362880 ~3628800 39916800 ~479001600 6227020800 ~87178291200
loop(\(x,i).((i + 1) * (x + 1)),x,(0 - 1))
A224869: ~1 0 3 16 85 516 3619 28960 260649 2606500 28671511 344058144 4472755885 62618582404 939278736075 15028459777216
loop(\(x,i).(((i mod 2) + x) * 2),x,(0 - 1))
A167030: ~1 0 0 2 4 10 20 42 84 170 340 682 1364 2730 5460 10922
(1 - (x mod loop(\(x,i).(x * 2),x,(0 - 1))))
A132045: 1 2 3 6 13 28 59 122 249 504 1015 2038 4085 8180 16371 32754
((if ((x div (2 + 2)) - 1) <= 0 then x else 0) + 1)
A255829: 1 2 3 4 5 6 7 8 1 1 1 1 1 1 1 1
((if ((x div (2 + 1)) - 2) <= 0 then x else 0) + 1)
A306354-A287877-A256229-A179635-A126616-A121042-A075877-A052423: 1 2 3 4 5 6 7 8 9 1 1 1 1 1 1 1
((if (x mod ((2 + 2) * 2)) <= 0 then x else 0) + 1)
A264981: 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1
(loop(\(x,i).(((x + 2) + 2) * 2),x,0) - 1)
A172252: ~1 7 23 55 119 247 503 1015 2039 4087 8183 16375 32759 65527 131063 262135
(if (((x + 2) mod (2 + 2)) * x) <= 0 then 0 else 1)
A277674-A047988: 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1
(loop(\(x,i).(1 - ((x * 2) * 2)),x,0) + 1)
A166114: 1 2 ~2 14 ~50 206 ~818 3278 ~13106 52430 ~209714 838862 ~3355442 13421774 ~53687090 214748366
(loop(\(x,i).(((x div 2) + x) + 2),x,0) + 1)
A152009: 1 3 6 10 16 25 39 60 91 138 208 313 471 708 1063 1596
(loop(\(x,i).((1 - x) - (x * 2)),x,0) + 1)
A084222: 1 2 ~1 8 ~19 62 ~181 548 ~1639 4922 ~14761 44288 ~132859 398582 ~1195741 3587228
((if (2 - x) <= 0 then ((x div 2) + x) else 0) + 1)
A097482: 1 1 4 5 7 8 10 11 13 14 16 17 19 20 22 23
(((x + 1) mod (2 + 1)) - (if x <= 0 then 0 else 1))
A106510: 1 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0
(((x * 2) * (2 + 1)) - (if x <= 0 then 0 else 1))
A172337: 0 5 11 17 23 29 35 41 47 53 59 65 71 77 83 89
(((x div 2) div (2 + 1)) + (if x <= 0 then 0 else 1))
A264749-A195177-A137588: 0 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3
(((1 - x) mod (2 + 1)) - (if x <= 0 then 0 else 1))
A163804: 1 ~1 1 0 ~1 1 0 ~1 1 0 ~1 1 0 ~1 1 0
(((x * x) div (2 + 1)) + (if x <= 0 then 0 else 1))
A154255: 0 1 2 4 6 9 13 17 22 28 34 41 49 57 66 76
(((x * 2) * (x + 1)) - (if x <= 0 then 0 else 1))
A132209: 0 3 11 23 39 59 83 111 143 179 219 263 311 363 419 479
(((x mod (2 + 1)) div 2) + (if x <= 0 then 0 else 1))
A101825: 0 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1
((x div ((2 + 2) * 2)) + (if x <= 0 then 0 else 1))
A261226-A211662-A067394-A048766: 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
((((x + 2) + 2) + 2) + (if x <= 0 then 0 else 1))
A135558: 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
((((x + 2) + 2) * 2) - (if x <= 0 then 0 else 1))
A308602: 8 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37
((((x mod 2) * x) div 2) + (if x <= 0 then 0 else 1))
A249068-A249009-A248034: 0 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8
(((x div 2) + (x * 2)) - (if x <= 0 then 0 else 1))
A010387: 0 1 4 6 9 11 14 16 19 21 24
((((x mod 2) * 2) + x) - (if x <= 0 then 0 else 1))
A014681: 0 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16
(loop(\(x,i).(((2 - x) * 2) - x),x,0) + 1)
A081630: 1 5 ~7 29 ~79 245 ~727 2189 ~6559 19685 ~59047 177149 ~531439 1594325 ~4782967 14348909
((2 mod ((if (x mod 2) <= 0 then x else 0) - 1)) + 1)
A125768: 1 1 1 1 3 1 3 1 3 1 3 1 3 1 3 1
loop(\(x,i).i,(((x - 2) div (2 + 1)) - 1),1)
A140437: 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3
(loop(\(x,i).(i * x),(x div (2 + 1)),1) - 1)
A241471: 0 0 0 0 0 0 1 1 1 5
(loop(\(x,i).((0 - i) * x),(x + 1),1) - 1)
A235378: ~2 1 ~7 23 ~121 719 ~5041 40319 ~362881 3628799 ~39916801 479001599 ~6227020801 87178291199 ~1307674368001 20922789887999
(loop(\(x,i).((i * i) * x),(x + 1),1) - 1)
A046032: 0 3 35 575 14399 518399 25401599 1625702399 131681894399 13168189439999 1593350922239999 229442532802559999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),((x + 1) div 2),1) + 1)
A051032: 2 3 3 5 5 9 9 17 17 33 33 65 65 129 129 257
(((x + 2) div ((if x <= 0 then 1 else 2) + 1)) + 1)
A231152: 2 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6
loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1)
A274843-A273738-A271949-A213652-A067032: 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6
((if (x - 1) <= 0 then x else ((2 + 2) + 1)) + 1)
A134201: 1 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6
(loop(\(x,i).(x * 2),x,((2 + 2) + 1)) + 1)
A083575: 6 11 21 41 81 161 321 641 1281 2561 5121 10241 20481 40961 81921 163841
loop(\(x,i).(x * 2),(x div ((2 + 2) + 1)),1)
A108105: 1 1 1 1 1 2 2 2 2 2 4 4 4 4 4 8
loop(\(x,i).(x * 2),(x mod ((2 + 2) + 1)),1)
A222011: 1 2 4 8
A269266: 1 2 4 8 16 1 2 4 8 16 1 2 4 8 16 1
(loop(\(x,i).(x * x),x,((2 + 2) + 1)) + 1)
A199591: 6 26 626 390626 152587890626 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,((2 + 2) + 1)) + 1)
A173319: 6 6 11 31 121 601 3601 25201 201601 1814401 18144001 199584001 2395008001 31135104001 435891456001 6538371840001
(loop(\(x,i).(i * x),x,((2 + 2) + 1)) - 1)
A173317: 4 4 9 29 119 599 3599 25199 201599 1814399 18143999 199583999 2395007999 31135103999 435891455999 6538371839999
(if (x - 1) <= 0 then ((x + 1) * (2 + 1)) else 1)
A142464: 3 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1
(if (2 - x) <= 0 then ((x - 1) mod (2 + 1)) else 1)
A308009: 1 1 1 2 0 1 2 0 1 2 0 1 2 0 1 2
((if (x - 2) <= 0 then (x * 2) else (2 + 1)) + 1)
A000655: 1 3 5 4 4 4 4 4 4 4 4 4 4 4 4 4
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) + 1)
A271114: 2 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91
((if x <= 0 then 2 else ((x * 2) * (2 + 1))) - 1)
A101328: 1 5 11 17 23 29 35 41 47 53 59 65 71 77 83 89
loop(\(x,i).(i * x),((x * 2) * (2 + 1)),1)
A195390: 1 720 479001600 6402373705728000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x * 2) div (2 + 1)),1)
A291778: 1 1 2 4 4 8 16 16 32 64 64 128 256 256 512 1024
((loop(\(x,i).(i * x),x,2) * (2 + 1)) + 1)
A173314: 7 7 13 37 145 721 4321 30241 241921 2177281 21772801 239500801 2874009601 37362124801 523069747201 7846046208001
((loop(\(x,i).(i * x),x,2) * (2 + 1)) - 1)
A173316: 5 5 11 35 143 719 4319 30239 241919 2177279 21772799 239500799 2874009599 37362124799 523069747199 7846046207999
(loop(\(x,i).((x + 2) * 2),x,(2 + 1)) + 1)
A156127: 4 11 25 53 109 221 445 893 1789 3581 7165 14333 28669 57341 114685 229373
(loop(\(x,i).((x * 2) * 2),x,(2 + 1)) + 1)
A140660: 4 13 49 193 769 3073 12289 49153 196609 786433 3145729 12582913 50331649 201326593 805306369 3221225473
loop(\(x,i).((x * 2) + 1),(x div (2 + 1)),1)
A077885: 1 1 1 3 3 3 7 7 7 15 15 15 31 31 31 63
loop(\(x,i).(1 - (x * 2)),(x div (2 + 1)),1)
A077886: 1 1 1 ~1 ~1 ~1 3 3 3 ~5 ~5 ~5 11 11 11 ~21
loop(\(x,i).(i * x),x,((x div (2 + 1)) + 1))
A052569: 1 1 2 12 48 240 2160 15120 120960 1451520 14515200 159667200 2395008000 31135104000 435891456000 7846046208000
loop(\(x,i).((2 + 1) * x),(x div (2 + 1)),1)
A127975: 1 1 1 3 3 3 9 9 9 27 27 27 81 81 81 243
((loop(\(x,i).(x * 2),x,x) * (2 + 1)) + 1)
A048477: 1 7 25 73 193 481 1153 2689 6145 13825 30721 67585 147457 319489 688129 1474561
((if ((2 - x) * x) <= 0 then x else (2 + 1)) + 1)
A132293: 1 4 3 4 5 6
(loop(\(x,i).((x * x) * x),x,(2 + 1)) + 1)
A129290: 4 28 19684 7625597484988 4611686018427387903 4611686018427387903
(((x * x) div (if (2 - x) <= 0 then 2 else 1)) + 1)
A085913: 1 2 3 5 9 13 19 25 33 41 51 61 73 85 99 113
loop(\(x,i).((i * i) * x),((x * 2) + 1),1)
A134374: 1 36 14400 25401600 131681894400 1593350922240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) + 1),((x * 2) - 1),1)
A103454: 1 3 15 63 255 1023 4095 16383 65535 262143 1048575 4194303 16777215 67108863 268435455 1073741823
loop(\(x,i).((2 - x) * 2),((x * 2) - 1),1)
A039301: 1 2 4 12 44 172 684 2732 10924 43692 174764 699052 2796204 11184812 44739244 178956972
loop(\(x,i).((2 + 1) * x),((x * 2) - 1),1)
A102518: 1 3 27 243 2187 19683 177147 1594323 14348907 129140163 1162261467 10460353203 94143178827 847288609443 7625597484987 68630377364883
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + 1)
A062396: 2 10 82 730 6562 59050 531442 4782970 43046722 387420490 3486784402 31381059610 282429536482 2541865828330 22876792454962 205891132094650
(loop(\(x,i).((x + 1) * x),(x * 2),1) + 1)
A123180: 2 7 1807 10650056950807 4611686018427387903
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) + 1)
A062394: 2 7 37 217 1297 7777 46657 279937 1679617 10077697 60466177 362797057 2176782337 13060694017 78364164097 470184984577
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - 1)
A024062: 0 5 35 215 1295 7775 46655 279935 1679615 10077695 60466175 362797055 2176782335 13060694015 78364164095 470184984575
(loop(\(x,i).((x * 2) * (x + 1)),x,1) + 1)
A059917: 2 5 41 3281 21523361 926510094425921 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) * x) + 1),x,1) - 1)
A115590: 0 1 8 729 389017000 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + 1)
A062395: 2 9 65 513 4097 32769 262145 2097153 16777217 134217729 1073741825 8589934593 68719476737 549755813889 4398046511105 35184372088833
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - 1)
A024088: 0 7 63 511 4095 32767 262143 2097151 16777215 134217727 1073741823 8589934591 68719476735 549755813887 4398046511103 35184372088831
(loop(\(x,i).((x - (i - 2)) * 2),x,1) + 1)
A176691: 2 5 9 15 25 43 77 143 273 531 1045 2071 4121 8219 16413 32799
(loop(\(x,i).(((x div 2) + x) * 2),x,1) + 1)
A201363: 2 3 7
A052919: 2 3 7 19 55 163 487 1459 4375 13123 39367 118099 354295 1062883 3188647 9565939
(loop(\(x,i).(((i mod 2) + x) * 2),x,1) + 1)
A062092: 2 5 9 19 37 75 149 299 597 1195 2389 4779 9557 19115 38229 76459
(loop(\(x,i).((i mod 2) + (x * 2)),x,1) + 1)
A171231: 2 4 7 14 27 54 107 214 427 854 1707 3414 6827 13654 27307 54614
(if (2 - x) <= 0 then (((x div 2) + x) - 1) else 1)
A267528: 1 1 2 3 5 6 8 9 11 12 14 15 17 18 20 21
(loop(\(x,i).((x * x) + (x mod 2)),x,1) + 1)
A092506: 2 3 5 17 257 65537
(loop(\(x,i).((x * x) * x),2,(x + 1)) - 1)
A258810: 0 511 19682 262143 1953124 10077695 40353606 134217727 387420488 999999999 2357947690 5159780351 10604499372 20661046783 38443359374 68719476735
(loop(\(x,i).((i + 1) * x),x,(x + 1)) + 1)
A188914: 2 5 19 97 601 4321 35281 322561 3265921 36288001 439084801 5748019201 80951270401 1220496076801 19615115520001 334764638208001
(loop(\(x,i).((i + 2) * x),x,(x + 1)) - 1)
A305739: 0 5 35 239 1799 15119 141119 1451519 16329599 199583999 2634508799 37362124799 566658892799 9153720575999 156920924159999 2845499424767999
loop(\(x,i).(((i div 2) + i) * x),(x + 1),1)
A319948: 1 3 12 72 504 4536 45360 544320 7076160 106142400 1698278400 30569011200 580811212800 12197035468800 268334780313600 6440034727526400
loop(\(x,i).(((i * i) * i) - x),(x + 1),1)
A153026: 0 8 19 45 80 136 207 305 424 576 755 973 1224 1520 1855 2241
loop(\(x,i).(((x * x) * 2) + 1),(x - 1),1)
A329470: 1 1 3 19 723 1045459 2185969041363 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 1),(x - 1),1)
A261547: 1 1 4 13 40 121 364 1093 3280 9841 29524 88573 265720 797161 2391484 7174453
loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),1)
A124302: 1 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485
loop(\(x,i).((x * 2) * (i + 1)),(x - 1),1)
A002866: 1 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 714164561510400 21424936845312000
loop(\(x,i).((i + x) + (x + 2)),(x - 1),1)
A188589: 1 1 5 14 33 72 151 310 629 1268 2547 5106 10225 20464 40943 81902
loop(\(x,i).(x - ((i * x) * 2)),(x - 1),1)
A330797: 1 1 ~1 3 ~15 105 ~945 10395 ~135135 2027025 ~34459425 654729075 ~13749310575 316234143225 ~7905853580625 213458046676875
loop(\(x,i).((x * 2) - (i mod 2)),(x - 1),1)
A247968: 1 1 1 2 3 6 11 22 43 86 171 342 683 1366 2731 5462
loop(\(x,i).((x mod (i + 1)) + x),(x - 1),1)
A073117: 1 1 2 4 4 8 10 13 18 18 26 30 36 46 50 55
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 1)
A034474: 2 6 26 126 626 3126 15626 78126 390626 1953126 9765626 48828126 244140626 1220703126 6103515626 30517578126
(loop(\(x,i).(((i + 2) + 1) * x),x,1) + 1)
A139153: 2 5 21 121 841 6721 60481 604801 6652801 79833601 1037836801 14529715201 217945728001 3487131648001 59281238016001 1067062284288001
((1 - x) mod (loop(\(x,i).(i * x),x,1) + 1))
A066305: 1 0 2 5 22 117
(loop(\(x,i).((i * i) * (i * x)),x,1) + 1)
A019514: 2 2 9 217 13825 1728001 373248001 128024064001 65548320768001 47784725839872001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) + 1)
A032568: 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3
(if ((x + 1) mod (2 + 1)) <= 0 then (0 - 2) else 1)
A061347: 1 1 ~2 1 1 ~2 1 1 ~2 1 1 ~2 1 1 ~2 1
(if ((x - 1) mod (2 + 1)) <= 0 then (0 - 2) else 1)
A131713: 1 ~2 1 1 ~2 1 1 ~2 1 1 ~2 1 1 ~2 1 1
(x - (if (x mod (2 + 1)) <= 0 then (0 - 2) else 1))
A004483: 2 0 1 5 3 4 8 6 7 11 9 10 14 12 13 17
(if (((x - 1) div 2) mod 2) <= 0 then (0 - 2) else 1)
A134430: 1 ~2 ~2 1 1 ~2 ~2 1 1 ~2 ~2 1 1 ~2 ~2 1
(if (x mod 2) <= 0 then ((x div 2) mod (0 - 2)) else 1)
A131729: 0 1 ~1 1 0 1 ~1 1 0 1 ~1 1 0 1 ~1 1
(if (x mod 2) <= 0 then (2 + 2) else ((0 - 2) - 1))
A168309: 4 ~3 4 ~3 4 ~3 4 ~3 4 ~3 4 ~3 4 ~3 4 ~3
(x - ((if x <= 0 then 1 else x) div ((0 - 2) - 1)))
A319371-A188188-A187572-A184478: 1 2 3 4 6 7 8 10 11 12 14 15 16 18 19 20
((2 - (x div 2)) mod ((if x <= 0 then 0 else 2) + 1))
A327310: 0 2 1 1 0 0 2 2 1 1 0 0 2 2 1 1
(2 - ((1 - x) div ((if x <= 0 then 0 else 2) + 1)))
A285761-A196176-A121536: 1 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7
((if (x mod ((2 + 2) + 1)) <= 0 then 1 else 2) + 1)
A022923: 2 3 3 3 3 2 3 3 3 3 2 3 3 3 3 2
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A177706-A107038-A055457-A032542: 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1
(if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A130782: 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1
loop(\(x,i).i,(x - (((2 + 2) + 1) * 2)),1)
A271835-A213651: 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5
((x mod (if ((x div 2) - 2) <= 0 then 1 else 2)) + 1)
A334948-A167968: 1 1 1 1 1 1 1 2 1 2 1 2 1 2 1 2
loop(\(x,i).(((x * x) + 1) * (2 + 1)),2,1)
A107844: 111 111 111 111 111 111 111 111 111 111 111 111 111 111 111 111
(if ((x div (0 - 2)) mod (2 + 1)) <= 0 then 2 else 1)
A096284: 2 1 1 1 1 2 2 1 1 1 1 2 2 1 1 1
(if (x - 1) <= 0 then x else (((2 + 1) * 2) + 1))
A186684: 0 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7
loop(\(x,i).(x * 2),x,(((2 + 1) * 2) + 1))
A005009: 7 14 28 56 112 224 448 896 1792 3584 7168 14336 28672 57344 114688 229376
(if x <= 0 then 1 else (x div (((2 + 1) * 2) + 1)))
A185327-A017863: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2
(loop(\(x,i).(x * x),x,((2 + 1) * 2)) + 1)
A078303: 7 37 1297 1679617 2821109907457 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,(2 + 1)) div 2) + 1)
A103204: 2 4 7 13 25 49 97 193 385 769 1537 3073 6145 12289 24577 49153
loop(\(x,i).(i + x),((x mod (2 + 1)) + 2),1)
A175833: 4 7 11 4 7 11 4 7 11 4 7 11 4 7 11 4
((loop(\(x,i).((x + 2) * 2),x,1) * 2) - 1)
A139634: 1 11 31 71 151 311 631 1271 2551 5111 10231 20471 40951 81911 163831 327671
((loop(\(x,i).((x + 2) * 2),x,1) div 2) + 1)
A052549: 1 4 9 19 39 79 159 319 639 1279 2559 5119 10239 20479 40959 81919
((loop(\(x,i).((x * 2) * 2),x,1) + 2) + 1)
A253208: 4 7 19 67 259 1027 4099 16387 65539 262147 1048579 4194307 16777219 67108867 268435459 1073741827
((loop(\(x,i).((2 - x) * 2),x,1) + 2) + 1)
A268741: 4 5 3 7 ~1 15 ~17 47 ~81 175 ~337 687 ~1361 2735 ~5457 10927
((loop(\(x,i).((i + x) * 2),x,1) * 2) - 1)
A126284: 1 7 23 59 135 291 607 1243 2519 5075 10191 20427 40903 81859 163775 327611
((loop(\(x,i).((i + x) * 2),x,1) div 2) + 1)
A133124: 1 3 7 16 35 74 153 312 631 1270 2549 5108 10227 20466 40945 81904
(if (((2 + 2) + 1) mod (x + 1)) <= 0 then 2 else 1)
A214710: 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).(((x * 2) + 1) * (x + 1)),2,1)
A103847: 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91
loop(\(x,i).(i * x),x,(((x + 1) * 2) + 1))
A129326: 3 5 14 54 264 1560 10800 85680 766080 7620480 83462400 997920000 12933043200 180583603200 2702527027200 43153254144000
loop(\(x,i).((2 + 1) * x),((x + 1) * 2),1)
A100062: 9 81 729 6561 59049 531441 4782969 43046721 387420489 3486784401 31381059609 282429536481 2541865828329 22876792454961 205891132094649 1853020188851841
loop(\(x,i).(i * x),x,(((x + 1) div 2) + 1))
A052689: 1 2 4 18 72 480 2880 25200 201600 2177280 21772800 279417600 3353011200 49816166400 697426329600 11769069312000
loop(\(x,i).((2 + 1) * x),((x + 1) div 2),1)
A162436-A056449: 1 3 3 9 9 27 27 81 81 243 243 729 729 2187 2187 6561
((loop(\(x,i).(x * 2),x,(x + 1)) div 2) + 1)
A131056: 1 3 7 17 41 97 225 513 1153 2561 5633 12289 26625 57345 122881 262145
((loop(\(x,i).((2 + 1) * x),x,1) + 2) + 1)
A178674: 4 6 12 30 84 246 732 2190 6564 19686 59052 177150 531444 1594326 4782972 14348910
((loop(\(x,i).((x + 1) * x),x,1) * 2) + 1)
A053630: 3 5 13 85 3613 6526885 21300113901613 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((x * x) + 1) div 2),1)
A247014: 1 2 4 32 256 8192 262144 33554432 4294967296 2199023255552 1125899906842624 2305843009213693952 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 1)
A250209: 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else 1)
A194302-A194294-A074264: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
(if ((x + 2) mod ((2 + 1) * 2)) <= 0 then 2 else 1)
A305936: 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1
(if ((x - 2) mod ((2 + 1) * 2)) <= 0 then 2 else 1)
A107577: 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1
(((loop(\(x,i).(x * 2),x,1) + 2) + 2) + 1)
A168614: 6 7 9 13 21 37 69 133 261 517 1029 2053 4101 8197 16389 32773
(((loop(\(x,i).(x * 2),x,1) - 2) - 2) - 1)
A168616: ~4 ~3 ~1 3 11 27 59 123 251 507 1019 2043 4091 8187 16379 32763
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A328856-A325988-A325837-A304327-A295657-A107039-A072911-A061704-A053150-A050361-A043281: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2
(x div (if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1))
A283971: 0 1 1 3 4 5 3 7 8 9 5 11 12 13 7 15
((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 1)
A010699: 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9
loop(\(x,i).(x * 2),x,(((2 + 2) * 2) + 1))
A005010: 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456 294912
loop(\(x,i).(x * 2),(x - ((2 + 2) * 2)),1)
A275075-A275063: 1 1 1 1 1 1 1 1 1 2 4 8 16 32 64 128
loop(\(x,i).(i + x),(x - ((2 + 2) * 2)),1)
A212367: 1 1 1 1 1 1 1 1 1 2 4 7 11 16 22 29
(loop(\(x,i).(x * x),x,((2 + 2) * 2)) + 1)
A152581: 9 65 4097 16777217 281474976710657 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),x,((2 + 2) * 2)) - 1)
A036287: 7 63 4095 16777215 281474976710655 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 1) <= 0 then x else (2 + 2)) * 2) + 1)
A100401: 1 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9
(if (2 - x) <= 0 then ((x div (2 + 2)) + 2) else 1)
A103128: 1 1 2 2 3 3 3 3 4 4 4 4 5 5 5 5
(if (x mod 2) <= 0 then ((x div (2 + 2)) mod 2) else 1)
A320007-A115971: 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1
((((if (x - 1) <= 0 then x else 2) * 2) * 2) + 1)
A175373: 1 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9
(((if x <= 0 then 1 else ((x * 2) * 2)) * 2) - 1)
A133655: 1 7 15 23 31 39 47 55 63 71 79 87 95 103 111 119
loop(\(x,i).(i * x),(((x * 2) * 2) * 2),1)
A195392: 1 40320 20922789888000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (((x mod 2) - (x div 2)) + 2) <= 0 then 2 else 1)
A163376: 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2
(((loop(\(x,i).(x * x),x,2) + 2) + 2) + 1)
A063486: 7 9 21 261 65541 4294967301 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * x),x,2) - 2) - 2) - 1)
A232460: ~3 ~1 11 251 65531 4294967291 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x - 1) mod (2 + 1)) <= 0 then (2 + 2) else 1)
A146325: 1 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1
(if ((x mod (2 + 1)) mod 2) <= 0 then (2 + 2) else 1)
A173259: 4 1 4 4 1 4 4 1 4 4 1 4 4 1 4 4
(x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1))
A214392: 0 1 2 3 1 5 6 7 2 9 10 11 3 13 14 15
((x * x) div (if (x mod 2) <= 0 then (2 + 2) else 1))
A168077: 0 1 1 9 4 25 9 49 16 81 25 121 36 169 49 225
(((if x <= 0 then 0 else 2) + 2) * ((2 + 2) + 1))
A040090: 10 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
(if x <= 0 then 1 else ((x div 2) div ((2 + 2) + 1)))
A288686-A245795-A245150-A083850-A025155-A017904-A017896-A017895-A017894-A017893-A017892-A017891: 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1
loop(\(x,i).((x + 1) * 2),x,((2 + 2) + 1))
A176448: 5 12 26 54 110 222 446 894 1790 3582 7166 14334 28670 57342 114686 229374
loop(\(x,i).((x * x) - 2),x,((2 + 2) + 1))
A003487: 5 23 527 277727 77132286527 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,((2 + 2) + 1))
A005030: 5 15 45 135 405 1215 3645 10935 32805 98415 295245 885735 2657205 7971615 23914845 71744535
((if (x - (2 + 1)) <= 0 then x else (2 + 2)) + 1)
A210032: 1 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5
(loop(\(x,i).((x * x) - 2),x,(2 + 2)) - 1)
A145503: 3 13 193 37633 1416317953 2005956546822746113 4611686018427387903
loop(\(x,i).((x * 2) * 2),(x div (2 + 2)),1)
A242954: 1 1 1 1 4 4 4 4 16 16 16 16 64 64 64 64
loop(\(x,i).(i * x),x,((x div (2 + 2)) + 1))
A052614: 1 1 2 6 48 240 1440 10080 120960 1088640 10886400 119750400 1916006400 24908083200 348713164800 5230697472000
loop(\(x,i).((2 + 1) * x),(x div (2 + 2)),1)
A111575: 1 1 1 1 3 3 3 3 9 9 9 9 27 27 27 27
((if (x mod 2) <= 0 then x else (x mod (2 + 2))) + 1)
A230089: 1 2 3 4 5 2 7 4 9 2 11 4 13 2 15 4
(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) + 1)
A199108: 5 13 37 109 325 973 2917 8749 26245 78733 236197 708589 2125765 6377293 19131877 57395629
(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) - 1)
A171498: 3 11 35 107 323 971 2915 8747 26243 78731 236195 708587 2125763 6377291 19131875 57395627
(loop(\(x,i).((x + 1) * x),x,(2 + 2)) + 1)
A144779: 5 21 421 176821 31265489221 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x * x) div (2 + 2)),1)
A060656: 1 1 2 4 16 64 512 4096 65536 1048576 33554432 1073741824 68719476736 4398046511104 562949953421312 72057594037927936
((loop(\(x,i).((x * 2) * 2),x,2) + 2) + 1)
A188161: 5 11 35 131 515 2051 8195 32771 131075 524291 2097155 8388611 33554435 134217731 536870915 2147483651
((loop(\(x,i).(1 - (x * 2)),x,2) + 2) + 1)
A156550: 5 0 10 ~10 30 ~50 110 ~210 430 ~850 1710 ~3410 6830 ~13650 27310 ~54610
(if (((2 + 2) + 1) mod (x + 2)) <= 0 then 2 else 1)
A078315: 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).(x * 2),x,(((x + 2) + 2) + 1))
A196410: 5 12 28 64 144 320 704 1536 3328 7168 15360 32768 69632 147456 311296 655360
loop(\(x,i).(i * x),x,(((x + 2) + 2) + 1))
A282466: 5 6 14 48 216 1200 7920 60480 524160 5080320 54432000 638668800 8143027200 112086374400 1656387532800 26153487360000
((x mod (2 + 1)) div (if (x - 2) <= 0 then 2 else 1))
A229878: 0 0 1 0 1 2
A220659: 0 0 1 0 1 2 0 1 2 0 1 2 0 1 2 0
(loop(\(x,i).((x * 2) * 2),(x * 2),2) - 1)
A241888: 1 31 511 8191 131071 2097151 33554431 536870911 8589934591 137438953471 2199023255551 35184372088831 562949953421311 9007199254740991 144115188075855871 2305843009213693951
loop(\(x,i).((x * 2) * 2),((x * 2) * 2),1)
A133752: 1 256 65536 16777216 4294967296 1099511627776 281474976710656 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,(((x * 2) * 2) + 1))
A016816: 1 625 6561 28561 83521 194481 390625 707281 1185921 1874161 2825761 4100625 5764801 7890481 10556001 13845841
loop(\(x,i).(x * 2),x,(((x * 2) * 2) + 1))
A118415: 1 10 36 104 272 672 1600 3712 8448 18944 41984 92160 200704 434176 933888 1998848
loop(\(x,i).(i * x),x,(((x * 2) * 2) + 1))
A082034: 1 5 18 78 408 2520 18000 146160 1330560 13426560 148780800 1796256000 23471078400 330032102400 4969162598400 79768136448000
(loop(\(x,i).((2 + 1) * x),(x * 2),2) + 1)
A199559: 3 19 163 1459 13123 118099 1062883 9565939 86093443 774840979 6973568803 62762119219 564859072963 5083731656659 45753584909923 411782264189299
(loop(\(x,i).((2 + 1) * x),(x * 2),2) - 1)
A198859: 1 17 161 1457 13121 118097 1062881 9565937 86093441 774840977 6973568801 62762119217 564859072961 5083731656657 45753584909921 411782264189297
(loop(\(x,i).((i + 2) * x),(x * 2),2) - 1)
A127230: 1 23 719 40319 3628799 479001599 87178291199 20922789887999 6402373705727999 2432902008176639999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) + x),(x * 2),2) - 1)
A289255: 1 11 57 247 1013 4083 16369 65519 262125 1048555 4194281 16777191 67108837 268435427 1073741793 4294967263
((if (x - 2) <= 0 then x else ((x div 2) + 2)) + 1)
A309250: 1 2 3 4 5 5 6 6 7 7 8 8 9 9 10 10
loop(\(x,i).((x mod 2) + i),((x div 2) - 2),1)
A005858: 1 1 1 1 1 1 2 2 2 2 3 3 5 5 6 6
((x + 2) - loop(\(x,i).i,((x div 2) - 2),1))
A327708-A079631: 1 2 3 4 5 6 7 8 8 9 9 10 10 11 11 12
(if (2 - x) <= 0 then (2 - ((x div 2) mod 2)) else 1)
A303827: 1 1 1 1 2 2 1 1 2 2 1 1 2 2 1 1
(if x <= 0 then 0 else (((2 - (x mod 2)) + 2) + 1))
A021026: 0 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4
loop(\(x,i).(x * 2),x,(((x mod 2) * 2) + 1))
A081631: 1 6 4 24 16 96 64 384 256 1536 1024 6144 4096 24576 16384 98304
((if ((2 - x) * x) <= 0 then (x mod 2) else 2) + 1)
A084642: 1 3 1 2 1 2 1 2 1 2 1 2 1 2 1 2
(loop(\(x,i).(x * x),((x * x) * 2),2) + 1)
A161473: 3 17 4611686018427387903
A162713: 3 17 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * x) * x),x,2) div 2) + 1)
A121270: 2 5 257
((loop(\(x,i).((i + x) + x),x,2) div 2) + 1)
A201363: 2 3 7
A112884: 2 3 7 14 30 61 125 252 508 1019 2043 4090 8186 16377 32761 65528
(loop(\(x,i).(((x * x) + i) * x),2,2) - 1)
A245206: 1019
(((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1))
A040072: 9 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18
(if x <= 0 then 1 else (((x mod 2) - 1) * (2 + 1)))
A115634: 1 0 ~3 0 ~3 0 ~3 0 ~3 0 ~3 0 ~3 0 ~3 0
(((if (x - 2) <= 0 then 0 else x) + 1) div (2 + 1))
A062276: 0 0 0 1 1 2 2 2 3 3 3 4 4 4 5 5
(loop(\(x,i).((x + 1) * 2),x,1) * (2 + 1))
A089143: 3 12 30 66 138 282 570 1146 2298 4602 9210 18426 36858 73722 147450 294906
(((if x <= 0 then 0 else 2) * (x - 1)) div (2 + 1))
A135672: 0 0 0 1 2 2 3 4 4 5 6 6 7 8 8 9
((if (x mod (2 + 1)) <= 0 then 1 else 2) * (2 + 1))
A105396: 3 6 6 3 6 6 3 6 6 3 6 6 3 6 6 3
((loop(\(x,i).(x * 2),x,1) + 2) * (2 + 1))
A153973: 9 12 18 30 54 102 198 390 774 1542 3078 6150 12294 24582 49158 98310
(if x <= 0 then 1 else (((x + 1) div 2) div (2 + 1)))
A114968: 1 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2
((((if x <= 0 then 0 else 2) + 2) * 2) * (2 + 1))
A040132: 12 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
(if x <= 0 then 1 else (x div ((2 + 2) * (2 + 1))))
A017906: 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
((2 - ((if x <= 0 then 1 else x) mod 2)) * (2 + 1))
A040007: 3 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3
(loop(\(x,i).((x * 2) * 2),x,2) * (2 + 1))
A002023: 6 24 96 384 1536 6144 24576 98304 393216 1572864 6291456 25165824 100663296 402653184 1610612736 6442450944
loop(\(x,i).(i * x),x,((x + 2) div (2 + 1)))
A052688: 0 1 2 6 48 240 1440 15120 120960 1088640 14515200 159667200 1916006400 31135104000 435891456000 6538371840000
loop(\(x,i).((x * x) - 2),(x * 2),(2 + 1))
A219162: 3 47 4870847 4611686018427387903
loop(\(x,i).(x * x),2,((x * 2) * (2 + 1)))
A016912: 0 1296 20736 104976 331776 810000 1679616 3111696 5308416 8503056 12960000 18974736 26873856 37015056 49787136 65610000
loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1))
A013708: 3 27 243 2187 19683 177147 1594323 14348907 129140163 1162261467 10460353203 94143178827 847288609443 7625597484987 68630377364883 617673396283947
loop(\(x,i).((x * 2) * 2),(x div 2),(2 + 1))
A117856: 3 3 12 12 48 48 192 192 768 768 3072 3072 12288 12288 49152 49152
(((if (x mod 2) <= 0 then 2 else 0) + x) div (2 + 1))
A285870: 0 0 1 1 2 1 2 2 3 3 4 3 4 4 5 5
loop(\(x,i).(((x * 2) * 2) + 1),x,(2 + 1))
A072197: 3 13 53 213 853 3413 13653 54613 218453 873813 3495253 13981013 55924053 223696213 894784853 3579139413
loop(\(x,i).((x - 1) * (2 + 1)),x,(2 + 1))
A067771: 3 6 15 42 123 366 1095 3282 9843 29526 88575 265722 797163 2391486 7174455 21523362
loop(\(x,i).((x * 2) * (2 + 1)),x,(2 + 1))
A169604: 3 18 108 648 3888 23328 139968 839808 5038848 30233088 181398528 1088391168 6530347008 39182082048 235092492288 1410554953728
loop(\(x,i).((x * x) - (2 + 1)),x,(2 + 1))
A186750: 3 6 33 1086 1179393 1390967848446 4611686018427387903 4611686018427387903
loop(\(x,i).((i * x) * (2 + 1)),x,(2 + 1))
A032179: 3 9 54 486 5832 87480 1574640 33067440 793618560 21427701120 642831033600 21213424108800 763683267916800 29783647448755200 1250913192847718400 4611686018427387903
loop(\(x,i).(((x * x) * 2) - 1),x,(2 + 1))
A292082: 3 17 577 665857
loop(\(x,i).(((2 + 1) * x) + 1),x,(2 + 1))
A237930: 3 10 31 94 283 850 2551 7654 22963 68890 206671 620014 1860043 5580130 16740391 50221174
loop(\(x,i).(((2 + 1) * x) - 1),x,(2 + 1))
A057198: 3 8 23 68 203 608 1823 5468 16403 49208 147623 442868 1328603 3985808 11957423 35872268
loop(\(x,i).(((x - 1) * x) - 1),x,(2 + 1))
A144743: 3 5 19 341 115939 13441735781 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 2) * (x - 1)),x,(2 + 1))
A135583: 3 8 28 108 428 1708 6828 27308 109228 436908 1747628 6990508 27962028 111848108 447392428 1789569708
(x - ((2 div (if x <= 0 then 1 else x)) - (2 + 1)))
A228728-A174416: 1 2 4 6 7 8 9 10 11 12 13 14 15 16 17 18
loop(\(x,i).(((x * 2) - 1) * 2),x,(2 + 1))
A308124: 3 10 38 150 598 2390 9558 38230 152918 611670 2446678 9786710 39146838 156587350 626349398 2505397590
loop(\(x,i).(((x - 2) * 2) * 2),x,(2 + 1))
A155701: 3 4 8 24 88 344 1368 5464 21848 87384 349528 1398104 5592408 22369624 89478488 357913944
loop(\(x,i).((x * x) - (2 + 2)),x,(2 + 1))
A186751: 3 5 21 437 190965 36467631221 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) div 2),x,(2 + 1))
A096662: 3 6 21 231 26796 359026206 64449908476890321 4611686018427387903 4611686018427387903
(((if (x - 1) <= 0 then x else 2) + x) + (2 + 1))
A102890: 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20
(((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1))
A021823: 0 0 1 2 2 1 0 0 1 2 2 1 0 0 1 2
((if x <= 0 then 1 else ((x + 2) * x)) + (2 + 1))
A197985: 4 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258
(loop(\(x,i).(i * x),(x + 2),x) div (2 + 1))
A090672: 0 2 16 120 960 8400 80640 846720 9676800 119750400 1596672000 22832409600 348713164800 5666588928000 97639686144000 1778437140480000
(if x <= 0 then 1 else (((x div 2) + x) * (2 + 1)))
A261953: 1 3 9 12 18 21 27 30 36 39 45 48 54 57 63 66
loop(\(x,i).(x * 2),x,(1 - (x mod (2 + 1))))
A104538: 1 0 ~4 8 0 ~32 64 0 ~256 512 0 ~2048 4096 0 ~16384 32768
loop(\(x,i).((x div (2 + 1)) + x),x,(2 + 1))
A299114: 3 4 5 6 8 10
A100585: 3 4 5 6 8 10 13 17 22 29 38 50 66 88 117 156
loop(\(x,i).(((x * 2) + 1) * x),x,(2 + 1))
A176430: 3 21 903 1631721 5325028475403 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then (1 - x) else x) mod (2 + 1))
A100286: 1 1 2 0 0 2 1 1 2 0 0 2 1 1 2 0
(((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1))
A131026: 2 2 1 0 0 1 2 2 1 0 0 1 2 2 1 0
loop(\(x,i).((x * x) * x),(x * x),(2 + 1))
A162414: 3 27 4611686018427387903
((loop(\(x,i).(x * 2),x,x) - x) * (2 + 1))
A317404: 0 3 18 63 180 465 1134 2667 6120 13797 30690 67551 147420 319449 688086 1474515
loop(\(x,i).((x - i) * (i + x)),x,(2 + 1))
A110385: 3 8 60 3591 12895265 166287859420200 4611686018427387903 4611686018427387903 4611686018427387903
((((if (x mod 2) <= 0 then 2 else 0) + x) * 2) - 1)
A166519: 3 1 7 5 11 9 15 13 19 17 23 21 27 25 31 29
(loop(\(x,i).((x + 1) * (2 + 1)),x,2) - 1)
A116952: 1 8 29 92 281 848 2549 7652 22961 68888 206669 620012 1860041 5580128 16740389 50221172
(loop(\(x,i).((x * 2) * (2 + 1)),x,2) + 1)
A199317: 3 13 73 433 2593 15553 93313 559873 3359233 20155393 120932353 725594113 4353564673 26121388033 156728328193 940369969153
(loop(\(x,i).((x * 2) * (2 + 1)),x,2) - 1)
A164559: 1 11 71 431 2591 15551 93311 559871 3359231 20155391 120932351 725594111 4353564671 26121388031 156728328191 940369969151
(loop(\(x,i).(((i + 1) * x) + 1),x,2) + 1)
A274103: 3 6 17 66 327
(((loop(\(x,i).(x * 2),x,1) + x) * 2) - 1)
A131898: 1 5 11 21 39 73 139 269 527 1041 2067 4117 8215 16409 32795 65565
(loop(\(x,i).((2 + 2) * (x + 1)),x,2) - 1)
A321421: 1 11 51 211 851 3411 13651 54611 218451 873811 3495251 13981011 55924051 223696211 894784851 3579139411
loop(\(x,i).(i * x),(((x + 1) * x) div 2),1)
A052295: 1 1 6 720 3628800 1307674368000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 2) * (x - 1)),x,2) + 1)
A321358: 3 5 13 45 173 685 2733 10925 43693 174765 699053 2796205 11184813 44739245 178956973 715827885
loop(\(x,i).(x * 2),(((x - 1) * x) div 2),1)
A006125: 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i * x) + 1) * 2),x,2) + 1)
A161370: 3 7 27 159 1267 12663 151947 2127247 34035939 612646887 12252937723 269564629887 6469551117267 168208329048919 4709833213369707 141294996401091183
(loop(\(x,i).(((x * 2) * 2) * 2),x,2) + 1)
A199493: 3 17 129 1025 8193 65537 524289 4194305 33554433 268435457 2147483649 17179869185 137438953473 1099511627777 8796093022209 70368744177665
(loop(\(x,i).(((x * 2) * 2) * 2),x,2) - 1)
A198850: 1 15 127 1023 8191 65535 524287 4194303 33554431 268435455 2147483647 17179869183 137438953471 1099511627775 8796093022207 70368744177663
(loop(\(x,i).((x - i) * (2 + 2)),x,2) - 1)
A210985: 1 3 7 19 63 235 919 3651 14575
((loop(\(x,i).i,((x div 2) - 2),x) * 2) + 1)
A103701: 1 3 5 7 9 11 3 3 5 5 7 7 9 9 11 11
(loop(\(x,i).(((x + 1) * x) div 2),x,2) - 1)
A006893: 1 2 5 20 230 26795 359026205 64449908476890320 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 2) * x),2,x) div 2) + 1)
A171714: 1 8 41 128 313 648 1201 2048 3281 5000 7321 10368 14281 19208 25313 32768
(loop(\(x,i).((i div 2) + (x * 2)),x,2) - 1)
A011377: 1 3 8 18 39 81 166 336 677 1359 2724 5454 10915 21837 43682 87372
((0 - x) mod (loop(\(x,i).(x * 2),x,2) - 1))
A076878: 0 2 5 12 27 58 121 248 503 1014 2037 4084 8179 16370 32753 65520
(loop(\(x,i).(x - (i - (x * 2))),x,2) - 1)
A090328: 1 4 12 35 103 306 914 2737 8205 24608 73816 221439 664307 1992910 5978718 17936141
((loop(\(x,i).((i + x) * x),2,x) * 2) + 1)
A008514: 1 17 97 337 881 1921 3697 6497 10657 16561 24641 35377 49297 66977 89041 116161
(loop(\(x,i).(x - ((i - x) * 2)),x,2) - 1)
A233656: 1 3 7 17 45 127 371 1101 3289 9851 29535 88585 265733 797175 2391499 7174469
((loop(\(x,i).(i * x),x,1) mod (x + 2)) - 1)
A056051: 0 0 1 0 ~1 0 ~1 ~1 ~1 0 ~1 0 ~1 ~1 ~1 0
(if (2 - (x div (2 + 2))) <= 0 then (x + 2) else 1)
A058364: 1 1 1 1 1 1 1 1 10 11 12 13 14 15 16 17
(loop(\(x,i).((x - i) * x),2,(x + 2)) + 1)
A062938: 1 25 121 361 841 1681 3025 5041 7921 11881 17161 24025 32761 43681 57121 73441
(loop(\(x,i).(x * 2),x,1) mod ((x + 2) + 1))
A077748: 1 2 4 2 2
A294389: 1 2 4 2 2 0 1 8 3 8 10 4 1 0 13 8
(loop(\(x,i).(i * x),x,1) mod ((x + 2) + 1))
A285982: 1 1 2 0 3 0 0 0 5 0 6 0 0 0 8 0
loop(\(x,i).(x * 2),(x div 2),((x + 2) + 1))
A092434: 3 4 10 12 28 32 72 80 176 192 416 448 960 1024
(if (x mod 2) <= 0 then (1 - x) else ((x + 2) + 1))
A227832: 1 4 ~1 6 ~3 8 ~5 10 ~7 12 ~9 14 ~11 16 ~13 18
(((if (x - 2) <= 0 then 1 else x) * (x + 2)) + 1)
A290014: 3 4 5 16 25
((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)
A073599: 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18
loop(\(x,i).(((x * 2) * 2) + 1),(x * 2),1)
A144864: 1 21 341 5461 87381 1398101 22369621 357913941 5726623061 91625968981 1466015503701 23456248059221 375299968947541 6004799503160661 96076792050570581 1537228672809129301
loop(\(x,i).(((x * 2) * 2) - 1),(x * 2),1)
A139792: 1 11 171 2731 43691 699051 11184811 178956971 2863311531 45812984491 733007751851 11728124029611 187649984473771 3002399751580331 48038396025285291 768614336404564651
(if ((x - 1) mod (2 + 1)) <= 0 then (x * 2) else 1)
A078689: 1 2 1 1 8 1 1 14 1 1 20 1 1 26 1 1
loop(\(x,i).((x * 2) * (2 + 1)),(x * 2),1)
A009980: 1 36 1296 46656 1679616 60466176 2176782336 78364164096 2821109907456 101559956668416 3656158440062976 131621703842267136 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((1 - x) * (2 + 1)),(x * 2),1)
A054879: 1 3 21 183 1641 14763 132861 1195743 10761681 96855123 871696101 7845264903 70607384121 635466457083 5719198113741 51472783023663
loop(\(x,i).((i * x) * (2 + 1)),(x * 2),1)
A068181: 1 18 1944 524880 264539520 214277011200 254561089305600 416971064282572800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 1),(x * 2),1)
A096053: 1 13 121 1093 9841 88573 797161 7174453 64570081 581130733 5230176601 47071589413 423644304721 3812798742493 34315188682441 308836698141973
loop(\(x,i).(((2 + 1) * x) - 1),(x * 2),1)
A083884: 1 5 41 365 3281 29525 265721 2391485 21523361 193710245 1743392201 15690529805 141214768241 1270932914165 11438396227481 102945566047325
loop(\(x,i).((x * 2) * (i + 1)),(x * 2),1)
A002671: 1 24 1920 322560 92897280 40874803200 25505877196800 21424936845312000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - 1) * 2),(x * 2),1)
A091881: 1 6 86 1366 21846 349526 5592406 89478486 1431655766 22906492246 366503875926 5864062014806 93824992236886 1501199875790166 24019198012642646 384307168202282326
(loop(\(x,i).((x * x) - 1),2,(x * 2)) + 1)
A069075: 1 9 225 1225 3969 9801 20449 38025 65025 104329 159201 233289 330625 455625 613089 808201
loop(\(x,i).(((x * 2) * 2) * 2),(x * 2),1)
A089357: 1 64 4096 262144 16777216 1073741824 68719476736 4398046511104 281474976710656 18014398509481984 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((1 - (x * 2)) * 2),(x * 2),1)
A061654: 1 10 154 2458 39322 629146 10066330 161061274 2576980378 41231686042 659706976666 10555311626650 168884986026394 2702159776422298 43234556422756762 691752902764108186
loop(\(x,i).(1 - ((x * 2) * 2)),(x * 2),1)
A299960: 1 13 205 3277 52429 838861 13421773 214748365 3435973837 54975581389 879609302221 14073748835533 225179981368525 3602879701896397 57646075230342349 922337203685477581
loop(\(x,i).(((i + x) - 2) * 2),(x * 2),1)
A107584: 1 0 8 52 240 1004 4072 16356 65504 262108 1048536 4194260 16777168 67108812 268435400 1073741764
loop(\(x,i).((x - (i - 2)) * 2),(x * 2),1)
A221906: 1 8 24 76 272 1044 4120 16412 65568 262180 1048616 4194348 16777264 67108916 268435512 1073741884
loop(\(x,i).(((x div 2) + x) * 2),(x * 2),1)
A092810: 1 6 54 486 4374 39366 354294 3188646 28697814 258280326 2324522934 20920706406 188286357654 1694577218886 15251194969974 137260754729766
loop(\(x,i).((1 - x) - (x * 2)),(x * 2),1)
A066443: 1 7 61 547 4921 44287 398581 3587227 32285041 290565367 2615088301 23535794707 211822152361 1906399371247 17157594341221 154418349070987
(((if x <= 0 then 2 else (x mod 2)) + (x * 2)) - 1)
A263881: 1 2 3 6 7 10 11
A053438: 1 2 3 6 7 10 11 14 15 18 19 22 23 26 27 30
loop(\(x,i).(x - ((i * x) * 2)),(x * 2),1)
A101485: 1 3 105 10395 2027025 654729075 316234143225 213458046676875 191898783962510625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),((x * 2) + 1))
A016760: 1 6561 390625 5764801 43046721 214358881 815730721 2562890625 6975757441 16983563041 37822859361 78310985281 152587890625 282429536481 500246412961 852891037441
loop(\(x,i).(x * 2),(x - 1),((x * 2) + 1))
A188545: 1 3 10
A128135: 1 3 10 28 72 176 416 960 2176 4864 10752 23552 51200 110592 237568 507904
loop(\(x,i).((x * x) * x),1,((x * 2) + 1))
A016755: 1 27 125 343 729 1331 2197 3375 4913 6859 9261 12167 15625 19683 24389 29791
(((if x <= 0 then 1 else 2) + 2) * ((x * 2) + 1))
A281813: 3 12 20 28 36 44 52 60 68 76 84 92 100 108 116 124
(((if x <= 0 then 1 else x) mod 2) * ((x * 2) + 1))
A266437: 1 3 0 7 0 11 0 15 0 19 0 23 0 27 0 31
(loop(\(x,i).(x * 2),x,2) * ((x * 2) + 1))
A118417: 2 12 40 112 288 704 1664 3840 8704 19456 43008 94208 204800 442368 950272 2031616
(loop(\(x,i).(x * 2),x,2) div ((x * 2) + 1))
A191631: 2 1 1 2 3 5 9 17 30 53 97 178 327 606 1129 2114
((if x <= 0 then 1 else (x * 2)) * ((x * 2) + 1))
A068377: 1 6 20 42 72 110 156 210 272 342 420 506 600 702 812 930
loop(\(x,i).((x * x) * x),2,((x * 2) + 1))
A016761: 1 19683 1953125 40353607 387420489 2357947691 10604499373 38443359375 118587876497 322687697779 794280046581 1801152661463 3814697265625 7625597484987 14507145975869 26439622160671
loop(\(x,i).((x - 2) * 2),x,((x * 2) + 1))
A048497: 1 2 8 28 84 228 580 1412 3332 7684 17412 38916 86020 188420 409604 884740
loop(\(x,i).((x * 2) * 2),x,((x * 2) + 1))
A058962: 1 12 80 448 2304 11264 53248 245760 1114112 4980736 22020096 96468992 419430400 1811939328 7784628224 33285996544
loop(\(x,i).((i * x) * 2),x,((x * 2) + 1))
A014481: 1 6 40 336 3456 42240 599040 9676800 175472640 3530096640 78033715200 1880240947200 49049763840000 1377317368627200 41421544567603200 1328346084409344000
loop(\(x,i).((2 + 1) * x),x,((x * 2) + 1))
A124647: 1 9 45 189 729 2673 9477 32805 111537 373977 1240029 4074381 13286025 43046721 138706101 444816117
loop(\(x,i).((i + 1) * x),x,((x * 2) + 1))
A175925: 1 6 30 168 1080 7920 65520 604800 6168960 68947200 838252800 11017036800 155675520000 2353813862400 37922556672000 648606486528000
(if x <= 0 then 1 else ((x * x) mod ((x * 2) + 1)))
A123684: 1 1 4 2 7 3 10 4 13 5 16 6 19 7 22 8
loop(\(x,i).(((2 + 2) + 1) * x),(x * 2),1)
A009969: 1 25 625 15625 390625 9765625 244140625 6103515625 152587890625 3814697265625 95367431640625 2384185791015625 59604644775390625 1490116119384765625 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * 2) + 1) * x),(x * 2),1)
A103639: 1 15 945 135135 34459425 13749310575 7905853580625 6190283353629375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * 2),x,(x * 2)) + 1)
A088578: 1 3 11 35 99 259 643 1539 3587 8195 18435 40963 90115 196611 425987 917507
(loop(\(x,i).((i + x) * 2),x,(x * 2)) + 1)
A213569: 1 7 25 71 181 435 1009 2287 5101 11243 24553 53223 114661 245731 524257 1114079
(loop(\(x,i).((x - i) * 2),x,(x * 2)) + 1)
A048481: 1 3 9 27 77 207 529 1299 3093 7191 16409 36891 81949 180255 393249 852003
(loop(\(x,i).(x - (i - x)),x,(x * 2)) + 1)
A181527: 1 4 13 38 103 264 649 1546 3595 8204 18445 40974 90127 196624 426001 917522
loop(\(x,i).((i * i) * (i * x)),(x * 2),1)
A134373: 1 8 13824 373248000 65548320768000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + 1),(x div 2),1)
A052992: 1 1 5 5 21 21 85 85 341 341 1365 1365 5461 5461 21845 21845
loop(\(x,i).(((2 + 1) * x) + 1),(x div 2),1)
A052993: 1 1 4 4 13 13 40 40 121 121 364 364 1093 1093 3280 3280
((loop(\(x,i).(x * 2),x,1) - (x div 2)) - 1)
A173009: 0 1 2 6 13 29 60 124 251 507 1018 2042 4089 8185 16376 32760
((if (x mod 2) <= 0 then (x * 2) else (x div 2)) + 1)
A112871: 1 1 5 2
A065262: 1 1 5 2 9 3 13 4 17 5 21 6 25 7 29 8
(loop(\(x,i).(i * x),x,1) div ((x div 2) + 1))
A107991: 1 1 1 3 8 40 180 1260 8064 72576 604800 6652800 68428800 889574400 10897286400 163459296000
loop(\(x,i).(i * x),x,(2 mod ((x div 2) + 1)))
A052683: 0 0 0 0 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),1)
A074872: 1 1 5 5 25 25 125 125 625 625 3125 3125 15625 15625 78125 78125
loop(\(x,i).(((i * 2) - 1) * x),(x div 2),1)
A133221: 1 1 1 1 3 3 15 15 105 105 945 945 10395 10395 135135 135135
((loop(\(x,i).(x * 2),x,1) + (x mod 2)) + 1)
A049332: 2 4 5 10 17 34 65 130 257 514 1025 2050 4097 8194 16385 32770
((loop(\(x,i).(x * 2),x,1) - (x mod 2)) + 1)
A052531: 2 2 5 8 17 32 65 128 257 512 1025 2048 4097 8192 16385 32768
((loop(\(x,i).(x * 2),x,1) - (x mod 2)) - 1)
A141023: 0 0 3 6 15 30 63 126 255 510 1023 2046 4095 8190 16383 32766
(if ((x div (2 + 1)) - 2) <= 0 then (x mod 2) else 1)
A116372: 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1
(if (2 - (x div (2 + 2))) <= 0 then (x mod 2) else 1)
A267256: 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1
loop(\(x,i).(i * x),x,((2 - (x mod 2)) + 1))
A052616: 3 2 6 12 72 240 2160 10080 120960 725760 10886400 79833600 1437004800 12454041600 261534873600 2615348736000
((if (2 - x) <= 0 then 2 else 1) * ((x mod 2) + 1))
A106469-A082508: 1 2 2 4 2 4 2 4 2 4 2 4 2 4 2 4
loop(\(x,i).(x * 2),(x - 1),((x mod 2) + 1))
A158302: 1 2 2 8 8 32 32 128 128 512 512 2048 2048 8192 8192 32768
loop(\(x,i).((x * 2) * 2),x,((x mod 2) + 1))
A107906: 1 8 16 128 256 2048 4096 32768 65536 524288 1048576 8388608 16777216 134217728 268435456 2147483648
((((x mod 2) + x) * x) + (if x <= 0 then 2 else 1))
A193064: 2 3 5 13
(loop(\(x,i).(((2 + 2) + 1) * x),x,2) + 1)
A199212: 3 11 51 251 1251 6251 31251 156251 781251 3906251 19531251 97656251 488281251 2441406251 12207031251 61035156251
(loop(\(x,i).(((2 + 2) + 1) * x),x,2) - 1)
A081655: 1 9 49 249 1249 6249 31249 156249 781249 3906249 19531249 97656249 488281249 2441406249 12207031249 61035156249
((((if (x - 2) <= 0 then 1 else x) * x) div 2) + 1)
A323457: 1 1 2 5 9
(loop(\(x,i).(((i + 2) + 1) * x),x,2) + 1)
A139150: 3 9 41 241 1681 13441 120961 1209601 13305601 159667201 2075673601 29059430401 435891456001 6974263296001 118562476032001 2134124568576001
(loop(\(x,i).(((i + 2) + 1) * x),x,2) - 1)
A139173: 1 7 39 239 1679 13439 120959 1209599 13305599 159667199 2075673599 29059430399 435891455999 6974263295999 118562476031999 2134124568575999
((loop(\(x,i).((x + 2) * 2),x,x) div 2) + 1)
A047859: 1 4 11 27 63 143 319 703 1535 3327 7167 15359 32767 69631 147455 311295
(loop(\(x,i).(((i mod 2) + 2) * x),x,2) - 1)
A164560: 1 5 11 35 71 215 431 1295 2591 7775 15551 46655 93311 279935 559871 1679615
((loop(\(x,i).((x - i) * 2),x,x) div 2) + 1)
A112089: 1 1 1 2 7 24
loop(\(x,i).((x * 2) * 2),((x * x) * 2),1)
A078186: 1 16 65536 68719476736 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),((x * x) * 2),1)
A060761: 1 9 6561 387420489 1853020188851841 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * x),((x * x) * 2),1)
A079683: 1 6 4611686018427387903
loop(\(x,i).((2 + 1) * x),((x * x) div 2),1)
A168493: 1 1 9 81 6561 531441 387420489 282429536481 1853020188851841 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),((x * x) * x),2) - 1)
A058473: 1 3 4611686018427387903
((loop(\(x,i).((i * i) + x),x,x) * 2) + 1)
A005894: 1 5 15 35 69 121 195 295 425 589 791 1035 1325 1665 2059 2511
(loop(\(x,i).(((i + x) * 2) + i),x,2) - 1)
A095264: 1 6 19 48 109 234 487 996 2017 4062 8155 16344 32725 65490 131023 262092
((loop(\(x,i).((i * x) + 1),x,0) * x) + 1)
A193657: 1 2 7 31 165 1031 7423 60621 554249 5611771 62353011 754471433 9876716941 139097096919 2097156230471 33704296561141
((loop(\(x,i).((i + x) * 2),x,0) - x) - 1)
A109363: ~1 0 5 18 47 108 233 486 995 2016 4061 8154 16343 32724 65489 131022
(((if (x mod 2) <= 0 then (x * x) else 0) + x) + 1)
A190716: 1 2 7 4 21 6 43 8 73 10 111 12 157 14 211 16
loop(\(x,i).(((x + 2) * (2 + 1)) + 1),x,1)
A116970: 1 10 37 118 361 1090 3277 9838 29521 88570 265717 797158 2391481 7174450 21523357 64570078
loop(\(x,i).(((x * 2) * (2 + 1)) - 1),x,1)
A083066: 1 5 29 173 1037 6221 37325 223949 1343693 8062157 48372941 290237645 1741425869 10448555213 62691331277 376147987661
loop(\(x,i).(((i * x) * (2 + 1)) + 1),x,1)
A010845: 1 4 25 226 2713 40696 732529 15383110 369194641 9968255308 299047659241 9868572754954 355268619178345 13855476147955456 581929998214129153 4611686018427387903
loop(\(x,i).((x mod ((i div 2) + 1)) + 1),x,1)
A062050: 1 1 2 1 2 3 4 1 2 3 4 5 6 7 8 1
((loop(\(x,i).(x * 2),(x - 1),1) + x) + 1)
A052968: 2 3 5 8 13 22 39 72 137 266 523 1036 2061 4110 8207 16400
loop(\(x,i).(((x + 2) mod (i + 1)) + 1),x,1)
A054995: 1 2 2 1 4 1 4 7 1 4 7 10 13 2 5 8
loop(\(x,i).(((i * x) * (i + 1)) + 1),x,1)
A228229: 1 3 19 229 4581 137431 5772103 323237769 23273119369 2094580743211 230403881753211 30413312391423853 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (x div ((0 - 2) - 1))),x,1)
A087192: 1 2 3 4 6 8 11 15 20 27 36 48 64 86 115 154
loop(\(x,i).((((x + 2) * 2) * 2) + 1),x,1)
A141725: 1 13 61 253 1021 4093 16381 65533 262141 1048573 4194301 16777213 67108861 268435453 1073741821 4294967293
loop(\(x,i).((((x * 2) * 2) * 2) - 1),x,1)
A083068: 1 7 55 439 3511 28087 224695 1797559 14380471 115043767 920350135 7362801079 58902408631 471219269047 3769754152375 30158033218999
loop(\(x,i).(i * x),(((2 + 2) + 1) * x),1)
A100734: 1 120 3628800 1307674368000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) * (2 + 2)) + 1),x,1)
A056545: 1 5 41 493 7889 157781 3786745 106028861 3392923553 122145247909 4885809916361 214975636319885 10318830543354481 536579188254433013 4611686018427387903 4611686018427387903
(((if ((2 - x) + 2) <= 0 then 2 else 1) + x) + 1)
A249407-A127161-A054027: 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18
loop(\(x,i).(((x * 2) - 1) * (2 + 1)),x,1)
A152596: 1 3 15 87 519 3111 18663 111975 671847 4031079 24186471 145118823 870712935 5224277607 31345665639 188073993831
(1 div (if ((x - 1) mod (2 + 1)) <= 0 then x else 1))
A329682: 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1
loop(\(x,i).(((x + 1) div 2) * (2 + 1)),x,1)
A070885: 1 3 6 9 15 24 36 54 81 123 186 279 420 630 945 1419
loop(\(x,i).(((x - 2) * 2) * (2 + 1)),x,1)
A165758: 1 ~6 ~48 ~300 ~1812 ~10884 ~65316 ~391908 ~2351460 ~14108772 ~84652644 ~507915876 ~3047495268 ~18284971620 ~109709829732 ~658258978404
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1)
A001021: 1 12 144 1728 20736 248832 2985984 35831808 429981696 5159780352 61917364224 743008370688 8916100448256 106993205379072 1283918464548864 15407021574586368
loop(\(x,i).(((2 - x) * 2) * (2 + 1)),x,1)
A165638: 1 6 ~24 156 ~924 5556 ~33324 199956 ~1199724 7198356 ~43190124 259140756 ~1554844524 9329067156 ~55974402924 335846417556
loop(\(x,i).(1 - ((x * 2) * (2 + 1))),x,1)
A014987: 1 ~5 31 ~185 1111 ~6665 39991 ~239945 1439671 ~8638025 51828151 ~310968905 1865813431 ~11194880585 67169283511 ~403015701065
loop(\(x,i).(((i * x) * 2) * (2 + 1)),x,1)
A047058: 1 6 72 1296 31104 933120 33592320 1410877440 67722117120 3656994324480 219419659468800 14481697524940800 1042682221795737600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,(((2 + 1) * x) + 1))
A016780: 1 256 2401 10000 28561 65536 130321 234256 390625 614656 923521 1336336 1874161 2560000 3418801 4477456
loop(\(x,i).(x * 2),x,(((2 + 1) * x) + 1))
A130129: 1 8 28 80 208 512 1216 2816 6400 14336 31744 69632 151552 327680 704512 1507328
loop(\(x,i).(i * x),x,(((2 + 1) * x) + 1))
A082033: 1 4 14 60 312 1920 13680 110880 1008000 10160640 112492800 1357171200 17723059200 249080832000 3748666521600 60153020928000
loop(\(x,i).((2 + 1) * x),((2 + 1) * x),1)
A009971: 1 27 729 19683 531441 14348907 387420489 10460353203 282429536481 7625597484987 205891132094649 5559060566555523 150094635296999121 4052555153018976267 4611686018427387903 4611686018427387903
loop(\(x,i).((i + 1) * x),((2 + 1) * x),1)
A100089: 1 24 5040 3628800 6227020800 20922789888000 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i - ((1 - x) * (2 + 1))),x,1)
A111277: 1 1 2 6 19 59 180 544 1637 4917 14758 44282 132855 398575 1195736 3587220
loop(\(x,i).(((i + 1) * x) * (2 + 1)),x,1)
A034001: 1 6 54 648 9720 174960 3674160 88179840 2380855680 71425670400 2357047123200 84853696435200 3309294160972800 138990354760857600 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) * (2 + 1)),x,1)
A051606: 1 9 108 1620 29160 612360 14696640 396809280 11904278400 392841187200 14142282739200 551549026828800 23165059126809600 1042427660706432000 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) - (x div (2 + 1))),x,1)
A129896: 1 2 4 6 8 11 14 17 20 23 26 29 32 35 38 41
(loop(\(x,i).(i + x),(x div (2 + 1)),x) + 1)
A101882: 1 2 3 5 6 7 10 11 12 16 17 18 23 24 25 31
loop(\(x,i).(((x * x) * x) * (2 + 1)),x,1)
A134799: 1 3 81 1594323 4611686018427387903
loop(\(x,i).(x - ((i * x) * (2 + 1))),x,1)
A133480: 1 ~2 10 ~80 880 ~12320 209440 ~4188800 96342400 ~2504902400 72642169600 ~2324549427200 81359229952000 ~3091650738176000 126757680265216000 4611686018427387903
loop(\(x,i).((((x + 1) * x) div 2) + 1),x,1)
A006894: 1 2 4 11 67 2279 2598061 3374961778892 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((x * 2) + 1) * x),1)
A122067: 1 8 1024 2097152 68719476736 36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (i - ((x * 2) + 1))),x,1)
A047926: 1 3 8 22 63 185 550 1644 4925 14767 44292 132866 398587 1195749 3587234 10761688
loop(\(x,i).(((i + x) + (x * 2)) + 1),x,1)
A000340: 1 5 18 58 179 543 1636 4916 14757 44281 132854 398574 1195735 3587219 10761672 32285032
loop(\(x,i).(((i + x) + (x * 2)) - 1),x,1)
A188545: 1 3 10
A244762: 1 3 10 32 99 301 908 2730 8197 24599 73806 221428 664295 1992897 5978704 17936126
loop(\(x,i).(((i * i) * (x * 2)) + 1),x,1)
A336804: 1 3 25 451 14433 721651 51958873 5091969555 651772103041 105587080692643 21117416138528601 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then (x div 2) else 1) + x) + 1)
A071054: 1 3 4 5 7 7 10 9 13 11 16 13 19 15 22 17
(((if (2 - x) <= 0 then (x div 2) else 1) + x) + 1)
A133223: 2 3 4 5 7 8 10 11 13 14 16 17 19 20 22 23
loop(\(x,i).(((x - (i - x)) * 2) + 1),x,1)
A073724: 1 3 9 31 117 459 1825 7287 29133 116515 466041 1864143 7456549 29826171 119304657 477218599
loop(\(x,i).((x * 2) mod ((i * 2) + 1)),x,1)
A035492: 1 2 4 1 2 4 8 1 2 4 8 16 7 14 28 25
loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,1)
A083065: 1 4 19 94 469 2344 11719 58594 292969 1464844 7324219 36621094 183105469 915527344 4577636719 22888183594
loop(\(x,i).(((x div (2 + 1)) + x) + 1),x,1)
A193622: 1 2 3 5 7 10
A155167: 1 2 3 5 7 10 14 19 26 35 47 63 85 114 153 205
loop(\(x,i).((((i * 2) - 1) * x) + 1),x,1)
A112293: 1 2 7 36 253 2278 25059 325768 4886521 83070858 1578346303 33145272364 762341264373 19058531609326 514580353451803 14922830250102288
((loop(\(x,i).((i * x) + 1),x,1) * x) + 1)
A001339: 1 3 11 49 261 1631 11743 95901 876809 8877691 98641011 1193556233 15624736141 220048367319 3317652307271 53319412081141
(((if (x mod (2 + 2)) <= 0 then x else 1) + x) + 1)
A095028: 1 3 4 5 9
loop(\(x,i).((((i + x) * 2) + x) + 1),x,1)
A060188: 1 6 23 76 237 722 2179 6552 19673 59038 177135 531428 1594309 4782954 14348891 43046704
loop(\(x,i).((((i + x) * 2) + x) - 1),x,1)
A132308: 1 4 15 50 157 480 1451 4366 13113 39356 118087 354282 1062869 3188632 9565923 28697798
loop(\(x,i).(((x * 2) * 2) * (x + 1)),x,1)
A190840: 1 8 288 332928 443365544448 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),((x + 1) * x),1)
A053863: 1 16 4096 16777216 1099511627776 1152921504606846976 4611686018427387903
loop(\(x,i).(x * 2),x,(((x + 1) * x) + 1))
A276041: 1 6 28 104 336 992 2752 7296 18688 46592 113664 272384 643072 1499136 3457024 7897088
loop(\(x,i).(i * x),x,(((x + 1) * x) + 1))
A001564: 1 3 14 78 504 3720 30960 287280 2943360 33022080 402796800 5308934400 75203251200 1139544806400 18394619443200 315149522688000
loop(\(x,i).((2 + 1) * x),((x + 1) * x),1)
A053854: 1 9 729 531441 3486784401 205891132094649 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + 1) * x),((x + 1) * x),1)
A066061: 1 6 5040 6227020800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(2 - ((1 - i) * (x + 1))),x,1)
A143918: 1 2 5 14 47 194 977 5870 41099 328802 2959229 29592302 325515335 3906184034 50780392457 710925494414
loop(\(x,i).(((2 - i) * i) + (x + 1)),x,1)
A179297: 1 3 4 2 ~5 ~19 ~42 ~76 ~123 ~185 ~264 ~362 ~481 ~623 ~790 ~984
(loop(\(x,i).((x * x) - 1),(x - 1),x) + 1)
A275203: 1 2 4 64
loop(\(x,i).((x * 2) * 2),((x - 1) * x),1)
A053765: 1 1 16 4096 16777216 1099511627776 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),((x - 1) * x),1)
A053764: 1 1 9 729 531441 3486784401 205891132094649 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),(x - 1),x) + 1)
A300559: 1 2 7 37 241 1801 15121 141121 1451521 16329601 199584001 2634508801 37362124801 566658892801 9153720576001 156920924160001
(loop(\(x,i).(x - (i - x)),(x - 1),x) + 1)
A057580: 1 2 4 9 22
A343291: 1 2 4 9 22 55 136 329 778 1803 4108 9229 20494 45071 98320 213009
(loop(\(x,i).((i * i) + x),(x - 1),x) + 1)
A081490: 1 2 4 9 19 36 62 99 149 214 296 397 519 664 834 1031
loop(\(x,i).(((i * i) * (i * x)) + 1),x,1)
A217284: 1 2 17 460 29441 3680126 794907217 272653175432 139598425821185 101767252423643866 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) + i) + 1),x,1)
A014825: 1 6 27 112 453 1818 7279 29124 116505 466030 1864131 7456536 29826157 119304642 477218583 1908874348
loop(\(x,i).((((x * 2) * 2) + i) - 1),x,1)
A172447: 1 4 17 70 283 1136 4549 18202 72815 291268 1165081 4660334 18641347 74565400 298261613 1193046466
loop(\(x,i).((((x * 2) * 2) - i) + 1),x,1)
A160156: 1 4 15 58 229 912 3643 14566 58257 233020 932071 3728274 14913085 59652328 238609299 954437182
loop(\(x,i).(((x + 2) + 2) mod (i + 1)),x,1)
A088333: 1 1 2 2 1 5 2 6 1 5 9 1 5 9 13 1
loop(\(x,i).(((x * 2) * 2) * (i + 1)),x,1)
A034177: 1 8 96 1536 30720 737280 20643840 660602880 23781703680 951268147200 41855798476800 2009078326886400 104472072998092800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) * (i + 1)),x,1)
A010796: 1 6 72 1440 43200 1814400 101606400 7315660800 658409472000 72425041920000 9560105533440000 1491376463216640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * i) * x) * (i + 1)),x,1)
A172492: 1 2 24 864 69120 10368000 2612736000 1024192512000 589934886912000 477847258398720000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((i * x) * (i - 1))),x,1)
A130031: 1 1 ~1 5 ~55 1045 ~30305 1242505 ~68337775 4851982025 ~431826400225 47069077624525 ~6166049168812775 955737621165980125 4611686018427387903 4611686018427387903
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A053835: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1
loop(\(x,i).((x mod ((2 + 2) + 1)) * 2),x,1)
A222011: 1 2 4 8
A000689: 1 2 4 8 6 2 4 8 6 2 4 8 6 2 4 8
loop(\(x,i).((((x + 2) + 2) + 1) * 2),x,1)
A139635: 1 12 34 78 166 342 694 1398 2806 5622 11254 22518 45046 90102 180214 360438
loop(\(x,i).((((x * 2) * 2) + 1) * 2),x,1)
A238276: 1 10 82 658 5266 42130 337042 2696338 21570706 172565650 1380525202 11044201618 88353612946 706828903570 5654631228562 45237049828498
(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + 1)
A270420-A248182-A183220-A102352-A096432-A007412: 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18
loop(\(x,i).(((x * 2) * (2 + 1)) + 2),x,1)
A061801: 1 8 50 302 1814 10886 65318 391910 2351462 14108774 84652646 507915878 3047495270 18284971622 109709829734 658258978406
loop(\(x,i).(((x * 2) * (2 + 1)) - 2),x,1)
A261399: 1 4 22 130 778 4666 27994 167962 1007770 6046618 36279706 217678234 1306069402 7836416410 47018498458 282110990746
loop(\(x,i).((x - ((i mod 2) - 1)) * 2),x,1)
A084170: 1 2 6 12 26 52 106 212 426 852 1706 3412 6826 13652 27306 54612
loop(\(x,i).((((i - 1) * x) + 1) * 2),x,1)
A099758: 1 2 6 26 158 1266 12662 151946 2127246 34035938 612646886 12252937722
A099760: 1 2 6 26 158 1266 12662 151946 2127246 34035938 612646886 12252937722 269564629886 6469551117266 168208329048918 4709833213369706
loop(\(x,i).((((i * 2) + x) + 1) * 2),x,1)
A051669: 1 8 26 66 150 322 670 1370 2774 5586 11214 22474 44998 90050 180158 360378
loop(\(x,i).((((i mod 2) + x) - 1) * 2),x,1)
A128209: 1 2 2 4 6 12 22 44 86 172 342 684 1366 2732 5462 10924
(loop(\(x,i).((x * 2) * (x + 1)),2,x) + 1)
A175110: 1 41 313 1201 3281 7321 14281 25313 41761 65161 97241 139921 195313 265721 353641 461761
(loop(\(x,i).((i + x) * (x + 1)),2,x) - 1)
A085151: 5 29 109 305 701 1405 2549 4289 6805 10301 15005 21169 29069 39005 51301 66305
((loop(\(x,i).(x * 2),(x - 1),2) + x) - 1)
A172411: 1 2 5 10
A132736: 1 2 5 10 19 36 69 134 263 520 1033 2058 4107 8204 16397 32782
((x mod 2) - loop(\(x,i).((x - 1) * 2),x,1))
A140253: ~1 1 2 7 14 31 62 127 254 511 1022 2047 4094 8191 16382 32767
(loop(\(x,i).(i + x),((x - 1) div 2),x) + 1)
A117142: 1 2 3 5 6 9 10 14 15 20 21 27 28 35 36 44
loop(\(x,i).(((i + x) * (x - 1)) + 2),x,1)
A274702: 1 2 6 47
loop(\(x,i).((x - 1) mod ((i + 1) * 2)),x,1)
A261302: 1 0 5 4 3 2 1 0 17 16 15 14 13 12 11 10
loop(\(x,i).(((i * x) * (i + 1)) div 2),x,1)
A006472: 1 1 3 18 180 2700 56700 1587600 57153600 2571912000 141455160000 9336040560000 728211163680000 66267215894880000 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - ((i - 1) div 2)),x,1)
A086445: 1 2 4 7 13 24 46 89 175 346 688 1371 2737 5468 10930 21853
loop(\(x,i).((x - (x div (0 - 2))) * 2),x,1)
A170685-A170637-A170589-A170541-A170493-A170445-A170397-A170349-A170301-A170253-A170205-A170157-A170109-A170061-A170013-A169545-A169497-A169449-A169401-A169353-A169305-A169257-A169209-A169161-A169113-A169065-A169017-A168969-A168921-A168873-A168825-A168777-A168729-A168681-A167882-A003946: 1 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292 19131876
loop(\(x,i).((x - ((i - 1) div 2)) * 2),x,1)
A052185: 1 2 4 6 10 16 28
(((((if x <= 0 then 0 else 2) * 2) * 2) + x) + 1)
A171891: 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
loop(\(x,i).((((x - 2) * 2) * 2) * 2),x,1)
A165760: 1 ~8 ~80 ~656 ~5264 ~42128 ~337040 ~2696336 ~21570704 ~172565648 ~1380525200 ~11044201616 ~88353612944 ~706828903568 ~5654631228560 ~45237049828496
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else 1)
A055061: 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 15
(if x <= 0 then 0 else ((((2 + 2) * 2) + x) + 1))
A117884: 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
loop(\(x,i).(((2 - x) * (2 + 2)) * 2),x,1)
A165748: 1 8 ~48 400 ~3184 25488 ~203888 1631120 ~13048944 104391568 ~835132528 6681060240 ~53448481904 427587855248 ~3420702841968 27365622735760
loop(\(x,i).(((i * x) * (2 + 2)) * 2),x,1)
A051189: 1 8 128 3072 98304 3932160 188743680 10569646080 676457349120 48704929136640 3896394330931200 342882701121945600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * 2)),x,1)
A014990: 1 ~7 57 ~455 3641 ~29127 233017 ~1864135 14913081 ~119304647 954437177 ~7635497415 61083979321 ~488671834567 3909374676537 ~31274997412295
loop(\(x,i).(i div (((x mod 2) + 2) + 2)),x,1)
A029326: 1 0 0 0 1 1 1 1 1 1 2 2 3 2 3 3
loop(\(x,i).((x div ((i mod 2) - 2)) * 2),x,1)
A152166: 1 ~2 2 ~4 4 ~8 8 ~16 16 ~32 32 ~64 64 ~128 128 ~256
(loop(\(x,i).((i * x) * 2),(2 + 2),x) + 1)
A229853: 1 385 769 1153 1537 1921 2305 2689 3073 3457 3841 4225 4609 4993 5377 5761
((loop(\(x,i).(x * 2),x,(2 + 2)) + x) - 1)
A145071: 3 8 17 34 67 132 261 518 1031 2056 4105 8202 16395 32780 65549 131086
loop(\(x,i).(((x div 2) + x) * (2 + 2)),x,1)
A067411: 1 4 24 144 864 5184 31104 186624 1119744 6718464 40310784 241864704 1451188224 8707129344 52242776064 313456656384
loop(\(x,i).(((i + 2) * x) * (2 + 2)),x,1)
A051620: 1 12 192 3840 92160 2580480 82575360 2972712960 118908518400 5231974809600 251134790860800 13059009124761600 731304510986649600 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i + x),(x div (2 + 2)),x) + 1)
A101883: 1 2 3 4 6 7 8 9 12 13 14 15 19 20 21 22
loop(\(x,i).(((i * i) * x) * (2 + 2)),x,1)
A002454: 1 4 64 2304 147456 14745600 2123366400 416179814400 106542032486400 34519618525593600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * x) - 2) * 2),x,1)
A047851: 1 2 8 44 260 1556 9332 55988 335924 2015540 12093236 72559412 435356468 2612138804 15672832820 94036996916
loop(\(x,i).((x - ((2 - x) div 2)) * 2),x,1)
A094388: 1 2 4 10 28 82 244 730 2188 6562 19684 59050 177148 531442 1594324 4782970
loop(\(x,i).((((i * 2) + x) - 2) * 2),x,1)
A131064: 1 2 8 24 60 136 292 608 1244 2520 5076 10192 20428 40904 81860 163776
(1 - (1 mod loop(\(x,i).((x - 2) * 2),x,1)))
A131128: 1 2 8 20 44 92 188 380 764 1532 3068 6140 12284 24572 49148 98300
(1 - (x mod loop(\(x,i).((x - 2) * 2),x,1)))
A077802: 1 2 7 18 41 88 183 374 757 1524 3059 6130 12273 24560 49135 98286
loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,1)
A318165: 1 3 13
A034478: 1 3 13 63 313 1563 7813 39063 195313 976563 4882813 24414063 122070313 610351563 3051757813 15258789063
loop(\(x,i).(((x div 2) + (x * 2)) * 2),x,1)
A005054: 1 4 20 100 500 2500 12500 62500 312500 1562500 7812500 39062500 195312500 976562500 4882812500 24414062500
loop(\(x,i).(((x mod 2) + (x * 2)) * 2),x,1)
A164908: 1 6 24 96 384 1536 6144 24576 98304 393216 1572864 6291456 25165824 100663296 402653184 1610612736
loop(\(x,i).(((x mod 2) - (x * 2)) * 2),x,1)
A009117: 1 ~2 8 ~32 128 ~512 2048 ~8192 32768 ~131072 524288 ~2097152 8388608 ~33554432 134217728 ~536870912
loop(\(x,i).(((i mod 2) + (x * 2)) * 2),x,1)
A117614: 1 6 24 98 392 1570 6280 25122 100488 401954 1607816 6431266 25725064 102900258 411601032 1646404130
loop(\(x,i).((1 - x) - ((x * 2) * 2)),x,1)
A014986: 1 ~4 21 ~104 521 ~2604 13021 ~65104 325521 ~1627604 8138021 ~40690104 203450521 ~1017252604 5086263021 ~25431315104
loop(\(x,i).(x - (i - ((x * 2) * 2))),x,1)
A164045: 1 4 18 87 431 2150 10744 53713 268557 1342776 6713870 33569339 167846683 839233402 4196166996 20980834965
loop(\(x,i).(x - ((i - (x * 2)) * 2)),x,1)
A268414: 1 3 11 49 237 1175 5863 29301 146489 732427 3662115 18310553 91552741 457763679 2288818367 11444091805
loop(\(x,i).((x * 2) - ((x div 2) mod 2)),x,1)
A046630: 1 2 3 5 10 19 37 74 147 293 586 1171 2341 4682 9363 18725
(((if (x - 2) <= 0 then (x mod 2) else 2) + x) + 1)
A003879: 1 3 3 6 7 8
loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,1)
A018251: 1 2 3 6 9 18
A018264: 1 2 3 6 9 18 27 54
A018311: 1 2 3 6 9 18 27 54 81 162
A018481: 1 2 3 6 9 18 27 54 81 162 243 486
A038754: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374
((loop(\(x,i).((x * x) * x),2,2) * x) + 1)
A076338: 1 513 1025 1537 2049 2561 3073 3585 4097 4609 5121 5633 6145 6657 7169 7681
loop(\(x,i).((x - ((i + x) mod 2)) * 2),x,1)
A135231: 1 2 4 6 12 22 44 86 172 342 684 1366 2732 5462 10924 21846
loop(\(x,i).((x - ((i * x) * 2)) * 2),x,1)
A097388: 1 ~2 12 ~120 1680 ~30240 665280 ~17297280 518918400 ~17643225600 670442572800 ~28158588057600 1295295050649600 ~64764752532480000 3497296636753920000 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,1)
A057651: 1 7 37 187 937 4687 23437 117187 585937 2929687 14648437 73242187 366210937 1831054687 9155273437 45776367187
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)
A011557: 1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000 100000000000 1000000000000 10000000000000 100000000000000 1000000000000000
loop(\(x,i).((((i + 2) + 1) * x) * 2),x,1)
A051580: 1 8 80 960 13440 215040 3870720 77414400 1703116800 40874803200 1062744883200 29756856729600 892705701888000 28566582460416000 971263803654144000 4611686018427387903
loop(\(x,i).((((i * 2) + 1) * x) * 2),x,1)
A000407: 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 32382376266240000 1748648318376960000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - 1) * x) * 2),x,1)
A001813: 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 1295295050649600 64764752532480000 3497296636753920000 4611686018427387903
loop(\(x,i).((((i mod 2) + 1) * x) * 2),x,1)
A094015: 1 4 8 32 64 256 512 2048 4096 16384 32768 131072 262144 1048576 2097152 8388608
(loop(\(x,i).((x div (2 + 2)) + x),2,x) + 1)
A074215-A022164: 1 2 3 4 7 8 9 11 13 14 16 17 19 21 22 23
((loop(\(x,i).((x * 2) * 2),x,2) + x) + 1)
A221130: 3 10 35 132 517 2054 8199 32776 131081 524298 2097163 8388620 33554445 134217742 536870927 2147483664
loop(\(x,i).((((i + 2) + 2) * x) * 2),x,1)
A051582: 1 10 120 1680 26880 483840 9676800 212889600 5109350400 132843110400 3719607091200 111588212736000 3570822807552000 121407975456768000 4370687116443648000 4611686018427387903
loop(\(x,i).((((i mod 2) - 2) * x) * 2),x,1)
A094014: 1 ~2 8 ~16 64 ~128 512 ~1024 4096 ~8192 32768 ~65536 262144 ~524288 2097152 ~4194304
(((if ((2 - x) + 2) <= 0 then x else 2) + x) + 1)
A104373: 3 4 5 6 9 11
loop(\(x,i).((((i + x) mod 2) + x) * 2),x,1)
A026644: 1 2 4 10 20 42 84 170 340 682 1364 2730 5460 10922 21844 43690
loop(\(x,i).(x - (((i div 2) - x) * 2)),x,1)
A104522: 1 3 7 19 53 155 459 1371 4105 12307 36911 110723 332157 996459 2989363 8968075
loop(\(x,i).(x - (((i mod 2) - x) * 2)),x,1)
A122983: 1 1 3 7 21 61 183 547 1641 4921 14763 44287 132861 398581 1195743 3587227
loop(\(x,i).(x * 2),x,(((x + 2) * x) + 1))
A014477: 1 8 36 128 400 1152 3136 8192 20736 51200 123904 294912 692224 1605632 3686400 8388608
((loop(\(x,i).(i * x),x,(x + 2)) + x) - 1)
A341302: 1 3 9 32 147 844 5765 45366 403207 3991688 43545609 518918410 6706022411 93405312012 1394852659213 22230464256014
loop(\(x,i).(((2 + 2) + 1) * (x - 2)),x,1)
A165755: 1 ~5 ~35 ~185 ~935 ~4685 ~23435 ~117185 ~585935 ~2929685 ~14648435 ~73242185 ~366210935 ~1831054685 ~9155273435 ~45776367185
loop(\(x,i).(((i - 1) div 2) + (x * 2)),x,1)
A084172: 1 2 4 9 19 40 82 167 337 678 1360 2725 5455 10916 21838 43683
loop(\(x,i).(((i + x) mod 2) + (x * 2)),x,1)
A262864: 1 2 4 9 19 38 76 153 307 614 1228 2457 4915 9830 19660 39321
loop(\(x,i).(x - ((i mod 2) - (x * 2))),x,1)
A139629: 1 2 6 17
A153773: 1 2 6 17 51 152 456 1367 4101 12302 36906 110717 332151 996452 2989356 8968067
(x - ((x div 2) - loop(\(x,i).(x * 2),x,1)))
A134522: 1 3 5 10 18 35 67 132 260 517 1029 2054 4102 8199 16391 32776
(x - (2 mod (x - loop(\(x,i).(x * 2),x,1))))
A296965: 0 1 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766
(1 - ((x * x) - loop(\(x,i).(x * 2),x,1)))
A030110: 2 2 1 0 1 8 29 80 193 432 925 1928 3953 8024 16189 32544
(x - ((x * x) - loop(\(x,i).(x * 2),x,1)))
A142974: 1 2 2 2 4 12 34 86 200 440 934 1938 3964 8036 16202 32558
(loop(\(x,i).((2 + 1) * x),(x * 2),x) + 1)
A064747: 1 10 163 2188 26245 295246 3188647 33480784 344373769 3486784402 34867844011 345191655700 3389154437773 33044255768278 320275094369455 3088366981419736
(loop(\(x,i).((i * i) + x),(x * 2),x) + 1)
A168574: 1 7 33 95 209 391 657 1023 1505 2119 2881 3807 4913 6215 7729 9471
loop(\(x,i).(((x mod 2) * i) + (x * 2)),x,1)
A077552: 1 3 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536
loop(\(x,i).(((i * i) * i) * (x * 2)),x,1)
A088386: 1 2 32 1728 221184 55296000 23887872000 16387080192000 16780370116608000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i * i) + x) * x),2,x) + 1)
A047673: 1 13 61 193 481 1021 1933 3361 5473 8461 12541 17953 24961 33853 44941 58561
loop(\(x,i).(x - (i - ((i * x) * 2))),x,1)
A193651: 1 2 8 53 473 5198 67568 1013513 17229713 327364538 6874655288 158117071613 3952926790313 106729023338438 3095141676814688 95949391981255313
loop(\(x,i).((((i + x) * 2) + i) + 2),x,1)
A308579: 1 7 22 55 124 265 550 1123 2272 4573 9178 18391 36820 73681 147406 294859
loop(\(x,i).(((x div 2) + x) * (i * 2)),x,1)
A052563: 1 2 12 108 1296 19440 349920 7348320 176359680 4761711360 142851340800 4714094246400 169707392870400 6618588321945600 277980709521715200 4611686018427387903
loop(\(x,i).(((i * i) - x) * (i div 2)),x,1)
A091130: 1 0 4 5 22
loop(\(x,i).((i * x) div (2 - (i mod 2))),x,1)
A090932: 1 1 1 3 6 30 90 630 2520 22680 113400 1247400 7484400 97297200 681080400 10216206000
(if ((x div (2 + 1)) - 2) <= 0 then 0 else (x + 1))
A256556: 0 0 0 0 0 0 0 0 0 10 11 12 13 14 15 16
(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1))
A128311: 0 1 0 3 0 1 0 7 3 1 0 7 0 1 3 15
(loop(\(x,i).((i + x) + x),x,0) mod (x + 1))
A082495: 0 1 1 3 1 3 1 7 7 3 1 3 1 3 7 15
(loop(\(x,i).((i * i) + x),x,0) mod (x + 1))
A215573: 0 1 2 2 0 1 0 4 6 5 0 2 0 7 10 8
((loop(\(x,i).(i * x),x,1) + 1) mod (x + 1))
A055976: 0 0 0 3 0 1 0 1 1 1 0 1 0 1 1 1
(loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1))
A044251: 81 162 243 324 405 486 567 648 729 810 891 972 1053 1134 1215 1296
(loop(\(x,i).(x * x),2,(2 + 1)) div (x + 1))
A033401: 81 40 27 20 16 13 11 10 9 8 7 6 6 5 5 5
((loop(\(x,i).(x * 2),x,2) + 1) mod (x + 1))
A096196: 0 1 0 1 3 5 3 1 0 5 3 5 3 5 9 1
((loop(\(x,i).(x * 2),x,2) - 1) div (x + 1))
A082482: 1 1 2 3 6 10 18 31 56 102 186 341 630 1170 2184 4095
(loop(\(x,i).(i * x),(x * 2),1) div (x + 1))
A060593: 1 1 8 180 8064 604800 68428800 10897286400 2324754432000 640237370572800 221172909834240000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x div 2) - 1),(x + 1))
A005456: 1 2 3 4 10 12 28
(loop(\(x,i).((i * x) + 1),x,1) mod (x + 1))
A176787: 0 0 2 0 0 2 4 4 8 0 5 8 0 4 5 12
(loop(\(x,i).((x * 2) * 2),x,1) mod (x + 1))
A062175: 0 0 1 0 1 4 1 0 7 4 1 4 1 4 1 0
(loop(\(x,i).(x * 2),x,(x - 1)) mod (x + 1))
A082493: 0 0 1 0 3 2 5 0 1 6 9 8 11 10 7 0
loop(\(x,i).((i + 2) * x),(x - 1),(x + 1))
A074143: 1 2 9 48 300 2160 17640 161280 1632960 18144000 219542400 2874009600 40475635200 610248038400 9807557760000 167382319104000
loop(\(x,i).((i + x) + x),(x - 1),(x + 1))
A134311: 1 2 7 20 51 122 281 632 1399 3062 6645 14324 30707 65522 139249 294896
(loop(\(x,i).((2 + 1) * x),x,1) mod (x + 1))
A062174: 0 1 0 3 1 3 1 3 0 3 1 3 1 3 9 11
(loop(\(x,i).(1 - (i * x)),x,1) mod (x + 1))
A049782: 0 0 1 2 4 4 6 2 1 4 1 10 10 6 4 10
(loop(\(x,i).(x - (i * i)),x,1) mod (x + 1))
A133623: 0 0 2 3 1 0 1 5 4 6 1 11 1 8 6 9
((((if x <= 0 then 1 else 2) + 1) * 2) * (x + 1))
A230628: 4 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96
((loop(\(x,i).(i * x),x,1) - 2) * (x + 1))
A242569: ~1 ~2 0 16 110 708 5026 40304 362862 3628780 39916778 479001576 6227020774 87178291172 1307674367970 20922789887968
loop(\(x,i).(x - (x div (2 + 2))),2,(x + 1))
A304110: 1 2 3 3 3 4 5 5 6 6 7 7 8 9 9 9
(loop(\(x,i).(x * x),(2 + 2),2) mod (x + 1))
A245970: 0 0 1 0 1 4 2 0 7 6 9 4 3 2 1 0
(loop(\(x,i).((x * x) + 2),2,2) div (x + 1))
A033358: 38 19 12 9 7 6 5 4 4 3 3 3 2 2 2 2
(loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1))
A309092: 256 512 768 1024 1280 1536 1792 2048 2304 2560 2816 3072 3328 3584 3840 4096
(loop(\(x,i).(x * x),2,(2 + 2)) div (x + 1))
A057066: 256 128 85 64 51 42 36 32 28 25 23 21 19 18 17 16
(loop(\(x,i).(x * x),2,(2 + 2)) mod (x + 1))
A337398: 0 0 1 0 1 4 4 0 4 6 3 4 9 4 1 0
(loop(\(x,i).(x * 2),x,(2 + 2)) div (x + 1))
A281375: 4 4 5 8 12 21 36 64 113 204 372 682 1260 2340 4369 8192
(loop(\(x,i).(x * 2),x,(2 + 2)) mod (x + 1))
A112983: 0 0 1 0 4 2 4 0 7 8 4 8 4 8 1 0
(1 div loop(\(x,i).(x * x),(2 + 2),(x + 1)))
A323535: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),(2 + 2),(x + 1))
A309113: 1 4611686018427387903
A338965-A338964-A338952-A194566-A173471-A115543: 1 4611686018427387903 4611686018427387903 4611686018427387903
A338967-A338957-A338956-A338953: 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A020476: 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A214266: 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),2,2) div (x + 1))
A033362: 42 21 14 10 8 7 6 5 4 4 3 3 3 3 2 2
(loop(\(x,i).((x + 2) * x),2,2) div (x + 1))
A033400: 80 40 26 20 16 13 11 10 8 8 7 6 6 5 5 5
(loop(\(x,i).(x * 2),(x + 2),2) mod (x + 1))
A212844: 0 0 2 0 3 4 1 0 5 6 8 4 8 2 2 0
loop(\(x,i).(x * x),((x + 2) + 2),(x + 1))
A255344: 1 4294967296
(((if x <= 0 then 1 else (x * 2)) + 2) * (x + 1))
A184636: 3 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512
((if x <= 0 then 1 else ((x * 2) * 2)) * (x + 1))
A333714: 1 8 24 48 80 120 168 224 288 360 440 528 624 728 840 960
loop(\(x,i).(x * x),((x * 2) * 2),(x + 1))
A255323: 1 65536 4611686018427387903
(loop(\(x,i).(x * 2),x,2) + (2 div (x + 1)))
A258935: 4 5 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536
((if x <= 0 then 1 else (2 + 2)) + (2 mod (x + 1)))
A231407: 1 4 6
A329502: 1 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6
((2 - ((if x <= 0 then 1 else x) mod 2)) * (x + 1))
A066043: 1 2 6 4 10 6 14 8 18 10 22 12 26 14 30 16
loop(\(x,i).((i + 2) * x),(x - 2),(x + 1))
A188588: 1 2 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 10461394944000
loop(\(x,i).((2 + 1) * x),(x * 2),(x + 1))
A053540: 1 18 243 2916 32805 354294 3720087 38263752 387420489 3874204890 38354628411 376572715308 3671583974253 35586121596606 343151886824415 3294258113514384
(loop(\(x,i).((2 + 1) * x),x,2) * (x + 1))
A212697: 2 12 54 216 810 2916 10206 34992 118098 393660 1299078 4251528 13817466 44641044 143489070 459165024
loop(\(x,i).((x * 2) * (2 + 1)),x,(x + 1))
A053469: 1 12 108 864 6480 46656 326592 2239488 15116544 100776960 665127936 4353564672 28298170368 182849716224 1175462461440 7522959753216
((loop(\(x,i).(x * 2),x,1) + x) div (x + 1))
A053637: 1 1 2 2 4 6 10 16 29 52 94 171 316 586 1093 2048
(if ((2 + 2) mod (x + 1)) <= 0 then x else (x + 1))
A131209: 0 1 3 3 5 6 7 8 9 10 11 12 13 14 15 16
loop(\(x,i).(x * 2),((x + 1) * x),(x + 1))
A128406: 1 8 192 16384 5242880 6442450944 30786325577728 576460752303423488 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(x - 1),x) + (x + 1))
A188626: 1 3 7 16 37 86 199 456 1033 2314 5131 11276 24589 53262 114703 245776
((loop(\(x,i).(i * x),x,1) + x) div (x + 1))
A261779: 1 1 1 2 5 20 103 630 4480 36288 329891 3326400 36846277 444787200 5811886080 81729648000
loop(\(x,i).((x * 2) * (i + 1)),x,(x + 1))
A014479: 1 8 72 768 9600 138240 2257920 41287680 836075520 18579456000 449622835200 11771943321600 331576403558400 9998303861145600 321374052679680000 4611686018427387903
(loop(\(x,i).((x * x) div 2),2,x) mod (x + 1))
A226786: 0 0 2 0 2 0 1 0 8 0 7 0 5 0 2 0
loop(\(x,i).(i - ((2 - x) * 2)),x,(x + 1))
A188716: 1 1 4 15 46 125 316 763 1786 4089 9208 20471 45046 98293 212980 458739
(loop(\(x,i).((x + 2) * x),2,x) - (x + 1))
A126423: ~1 13 77 251 619 1289 2393 4087 6551 9989 14629 20723 28547 38401 50609 65519
((loop(\(x,i).(x * 2),x,2) + x) div (x + 1))
A053638: 2 2 3 4 7 11 19 32 57 103 187 342 631 1171 2185 4096
(if (2 - x) <= 0 then ((x + 2) * x) else (x + 1))
A272930: 1 2 8 15
loop(\(x,i).((i mod 2) + (x * 2)),x,(x + 1))
A127980: 1 5 14 37 90 213 490 1109 2474 5461 11946 25941 55978 120149 256682 546133
loop(\(x,i).((i * x) + (x div 2)),x,(x + 1))
A188545: 1 3 10
A309885: 1 3 10 52
loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))
A276234-A161955-A072963-A000265: 1 1 3 1 5 3 7 1 9 5 11 3 13 7 15 1
(((if (2 - x) <= 0 then x else 2) + x) * (x + 1))
A257479: 2 6 12 24
loop(\(x,i).(((i * 2) + 1) * x),x,(x + 1))
A001879: 1 6 45 420 4725 62370 945945 16216200 310134825 6547290750 151242416325 3794809718700 102776096548125 2988412653476250 92854250304440625 3070380543400170000
loop(\(x,i).(((i * 2) - 1) * x),x,(x + 1))
A001193: 1 2 9 60 525 5670 72765 1081080 18243225 344594250 7202019825 164991726900 4111043861925 110681950128750 3201870700153125 99044533658070000
(loop(\(x,i).((x * 2) * 2),x,x) * (x + 1))
A116144: 0 8 96 768 5120 30720 172032 917504 4718592 23592960 115343360 553648128 2617245696 12213813248 56371445760 257698037760
loop(\(x,i).(((i + 2) + 2) * x),x,(x + 1))
A061206: 1 10 90 840 8400 90720 1058400 13305600 179625600 2594592000 39956716800 653837184000 11333177856000 207484333056000 4001483566080000 81096733605888000
loop(\(x,i).(((i mod 2) + 2) * x),x,(x + 1))
A027266: 1 6 18 72 180 648 1512 5184 11664 38880 85536 279936 606528 1959552 4199040 13436928
(loop(\(x,i).((2 + 1) * x),x,x) * (x + 1))
A116138: 0 6 54 324 1620 7290 30618 122472 472392 1771470 6495390 23383404 82904796 290166786 1004423490 3443737680
(loop(\(x,i).((i + 1) * x),x,x) * (x + 1))
A098916: 0 4 36 288 2400 21600 211680 2257920 26127360 326592000 4390848000 63228211200 971415244800 15866448998400 274611617280000 5021469573120000
loop(\(x,i).(((x * x) * x) + 1),2,(x - 1))
A178391: 1 2 9 730 21953 274626 2000377 10218314 40707585 135005698 389017001 1003003002 2363266369 5168743490 10618986393 20683643626
(if x <= 0 then 1 else (((2 + 2) * 2) * (x - 1)))
A181390: 1 0 8 16 24 32 40 48 56 64 72 80 88 96 104 112
(if (x mod 2) <= 0 then ((x div 2) mod 2) else (x - 1))
A338824: 0 0 1 2 0 4 1 6 0 8 1 10 0 12 1 14
(loop(\(x,i).(x * 2),(x - 1),x) * (x - 1))
A100381: 0 0 4 24 96 320 960 2688 7168 18432 46080 112640 270336 638976 1490944 3440640
(loop(\(x,i).(x * 2),(x - 2),x) * (x - 1))
A001815: 0 0 2 12 48 160 480 1344 3584 9216 23040 56320 135168 319488 745472 1720320
(loop(\(x,i).((x * x) * x),2,x) * (x - 1))
A240933: 0 0 512 39366 786432 7812500 50388480 242121642 939524096 3099363912 9000000000 23579476910 56757583872 127253992476 268593608192 538207031250
(loop(\(x,i).((x * 2) * 2),x,x) * (x - 1))
A128798: 0 0 32 384 3072 20480 122880 688128 3670016 18874368 94371840 461373440 2214592512 10468982784 48855252992 225485783040
((if (x - 2) <= 0 then 2 else (x * x)) + (x - 1))
A111802: 1 2 3 11 19 29 41 55 71 89 109 131 155 181 209 239
(loop(\(x,i).(x * x),2,(x * x)) * (x - 1))
A240932: 0 0 256 13122 196608 1562500 8398080 34588806 117440512 344373768 900000000 2143588810 4729798656 9788768652 19185257728 35880468750
(loop(\(x,i).((2 + 1) * x),x,x) * (x - 1))
A128797: 0 0 18 162 972 4860 21870 91854 367416 1417176 5314410 19486170 70150212 248714388 870500358 3013270470
((((if (x mod 2) <= 0 then 2 else 0) + x) * x) + 1)
A081346: 1 2 9 10 25 26 49 50 81 82 121 122 169 170 225 226
loop(\(x,i).(((i div (2 + 1)) + 1) * x),x,1)
A264557: 1 1 1 2 4 8 24 72 216 864 3456 13824 69120 345600 1728000 10368000
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)
A000420: 1 7 49 343 2401 16807 117649 823543 5764801 40353607 282475249 1977326743 13841287201 96889010407 678223072849 4747561509943
loop(\(x,i).((((i + 1) * 2) + 1) * x),x,1)
A051577: 1 5 35 315 3465 45045 675675 11486475 218243025 4583103525 105411381075 2635284526875 71152682225625 2063427784543125 63966261320836875 2110886623587616875
loop(\(x,i).((x mod ((2 + 2) + 1)) + x),x,1)
A222011: 1 2 4 8
A235700: 1 2 4 8 11 12 14 18 21 22 24 28 31 32 34 38
loop(\(x,i).((((x * 2) * 2) - 1) * x),x,1)
A204687: 1 3 33 4323 74748993 22349647743307203 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 2) + 2) + 1) * x),x,1)
A001725: 1 6 42 336 3024 30240 332640 3991680 51891840 726485760 10897286400 174356582400 2964061900800 53353114214400 1013709170073600 20274183401472000
loop(\(x,i).((((i + 2) * 2) + 1) * x),x,1)
A051579: 1 7 63 693 9009 135135 2297295 43648605 916620705 21082276215 527056905375 14230536445125 412685556908625 12793252264167375 422177324717523375 4611686018427387903
loop(\(x,i).((((i * 2) * 2) - 1) * x),x,1)
A008545: 1 3 21 231 3465 65835 1514205 40883535 1267389585 44358635475 1729986783525 74389431691575 3496303289504025 178311467764705275 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) + 2) + 1) * x),x,1)
A282023: 1 4 12 48 144 576 1728 6912 20736 82944 248832 995328 2985984 11943936 35831808 143327232
(loop(\(x,i).((x * 2) * (2 + 1)),x,x) + 1)
A050917: 1 7 73 649 5185 38881 279937 1959553 13436929 90699265 604661761 3990767617 26121388033 169789022209 1097098297345 7052774768641
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,1)
A006267: 1 4 76 439204 84722519070079276 4611686018427387903
loop(\(x,i).(((x * x) * (2 + 1)) - x),x,1)
A161181: 1 2 10 290 252010 190526868290 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) * (2 + 1)) - x),x,1)
A008544: 1 2 10 80 880 12320 209440 4188800 96342400 2504902400 72642169600 2324549427200 81359229952000 3091650738176000 126757680265216000 4611686018427387903
loop(\(x,i).((i - (i div (2 + 1))) * x),x,1)
A004527: 1 1 2 4 12 48 192 960 5760 34560 241920 1935360 15482880 139345920 1393459200 13934592000
loop(\(x,i).(((2 - (i mod 2)) + 1) * x),x,1)
A026549: 1 2 6 12 36 72 216 432 1296 2592 7776 15552 46656 93312 279936 559872
loop(\(x,i).((x div ((i mod 2) + 1)) + x),x,1)
A182522: 1 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187
loop(\(x,i).((((i * i) * 2) + 1) * x),x,1)
A277352: 1 3 27 513 16929 863379 63026667 6239640033 804913564257 131200910973891 26371383105752091 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 1) * x) + 1) * x),x,1)
A166999: 1 3 39 60879 225636660844959 4611686018427387903
loop(\(x,i).((((i - 1) * i) + 1) * x),x,1)
A130032: 1 1 3 21 273 5733 177723 7642089 435599073 31798732329 2893684641939 321198995255229 42719466368945457 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i div 2) + (i + 1)) * x),x,1)
A111394: 1 2 8 40 280 2240 22400 246400 3203200 44844800 717516800 12197785600 231757926400 4635158528000 101973487616000 2345390215168000
loop(\(x,i).(((i mod 2) + (i - 1)) * x),x,1)
A247006-A000246: 1 1 1 3 9 45 225 1575 11025 99225 893025 9823275 108056025 1404728325 18261468225 273922023375
loop(\(x,i).((((i * i) * i) + 1) * x),x,1)
A255433: 1 2 18 504 32760 4127760 895723920 308129028480 158070191610240 115391239875475200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - (i div (0 - 2))) * x),x,1)
A293653: 1 2 6 30 180 1440 12960 142560 1710720 23950080 359251200 6107270400 109930867200 2198617344000 46170964224000 1061932177152000
loop(\(x,i).(((i mod (2 + 1)) + 2) * x),x,1)
A076506: 1 3 12 24 72 288 576 1728 6912 13824 41472 165888 331776 995328 3981312 7962624
loop(\(x,i).(((x mod (2 + 2)) + 2) * x),x,1)
A005053: 1 3 15 75 375 1875 9375 46875 234375 1171875 5859375 29296875 146484375 732421875 3662109375 18310546875
(loop(\(x,i).(((x * 2) * 2) * 2),x,x) + 1)
A064746: 1 9 129 1537 16385 163841 1572865 14680065 134217729 1207959553 10737418241 94489280513 824633720833 7146825580545 61572651155457 527765581332481
loop(\(x,i).((((i + 2) + 2) + 2) * x),x,1)
A001730: 1 7 56 504 5040 55440 665280 8648640 121080960 1816214400 29059430400 494010316800 8892185702400 168951528345600 3379030566912000 70959641905152000
loop(\(x,i).(((1 - x) * (2 + 2)) - x),x,1)
A083085: 1 ~1 9 ~41 209 ~1041 5209 ~26041 130209 ~651041 3255209 ~16276041 81380209 ~406901041 2034505209 ~10172526041
loop(\(x,i).(((i * i) * (2 + 2)) + x),x,1)
A166464: 1 5 21 57 121 221 365 561 817 1141 1541 2025 2601 3277 4061 4961
loop(\(x,i).((((i + x) div 2) * 2) + x),x,1)
A026646: 1 3 7 17 37 79 163 333 673 1355 2719 5449 10909 21831 43675 87365
loop(\(x,i).(((2 - (i mod 2)) + 2) * x),x,1)
A282022: 1 3 12 36 144 432 1728 5184 20736 62208 248832 746496 2985984 8957952 35831808 107495424
loop(\(x,i).((((x - i) div 2) + 2) * x),x,1)
A222011: 1 2 4 8
A307611: 1 2 4 8 32
loop(\(x,i).(((2 + 2) + 1) * (2 - x)),x,1)
A165625: 1 5 ~15 85 ~415 2085 ~10415 52085 ~260415 1302085 ~6510415 32552085 ~162760415 813802085 ~4069010415 20345052085
loop(\(x,i).(((i * i) div (x + 2)) + x),x,1)
A325544-A118103: 1 1 2 4 6 9 12 15 18 22 26 30 34 38 42 47
(loop(\(x,i).((i + x) * (x * 2)),x,x) + 1)
A029495: 1 5 337
loop(\(x,i).((((2 + 1) * i) + 2) * x),x,1)
A034000: 1 5 40 440 6160 104720 2094400 48171200 1252451200 36321084800 1162274713600 40679614976000 1545825369088000 63378840132608000 2788668965834752000 4611686018427387903
loop(\(x,i).((((2 + 1) * i) - 2) * x),x,1)
A007559: 1 1 4 28 280 3640 58240 1106560 24344320 608608000 17041024000 528271744000 17961239296000 664565853952000 26582634158080000 1143053268797440000
loop(\(x,i).((x * 2) * (2 + 1)),(x * x),1)
A076781: 1 6 1296 10077696 2821109907456 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(i * x),x,1) + (x * x)) + 1)
A201363: 2 3 7
A227546: 2 3 7 16 41 146 757 5090 40385 362962 3628901 39916922 479001745 6227020970 87178291397 1307674368226
loop(\(x,i).(((x * 2) * 2) * 2),(x * x),1)
A060760: 1 8 4096 134217728 281474976710656 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 1) <= 0 then x else 2) + (x * x)) + 1)
A062714: 1 3 7 12 19 28 39
((loop(\(x,i).(x * 2),x,2) + (x * x)) - 1)
A290707: 1 4 11 24 47 88 163 304 575 1104 2147 4216 8335 16552 32963 65760
loop(\(x,i).((2 + 1) * x),x,((x * x) + 1))
A003486: 1 6 45 270 1377 6318 26973 109350 426465 1614006 5963949 21611934 77058945 271034910 942244893 3242852982
loop(\(x,i).((x - i) * x),2,((x * x) - 1))
A217574: 0 0 24 3024 43680 303600 1413720 5085024 15249024 39929760 94109400 203889840 412293024 787083024 1431033240 2495102400
loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1)
A060758: 1 5 625 1953125 152587890625 298023223876953125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((2 div (if x <= 0 then 1 else x)) + (x * x)) - 1)
A222011: 1 2 4 8
A082562: 1 2 4 8 15 24 35 48 63 80 99 120 143 168 195 224
loop(\(x,i).(i - ((1 - x) * x)),(x * x),1)
A068741: 1 1 24 4611686018427387903
loop(\(x,i).(i * x),((x * x) * (x * x)),1)
A255359: 1 1 20922789888000
(loop(\(x,i).(((2 + 2) + 1) * x),x,x) + 1)
A050916: 1 6 51 376 2501 15626 93751 546876 3125001 17578126 97656251 537109376 2929687501 15869140626 85449218751 457763671876
(((if (x - 2) <= 0 then 1 else (x * x)) * x) + 1)
A098812: 1 2 3 28
loop(\(x,i).((2 + 1) * x),((x * x) * x),1)
A187879: 1 3 6561 7625597484987 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) * x) * (x * x)),x,1)
A164334: 1 1 2 48 21233664 4611686018427387903
loop(\(x,i).(((i + x) * i) + (x * x)),x,1)
A143762: 1 3 19 427 184053 33876427099 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - x) * i) + (x * x)),x,1)
A143761: 1 1 3 9 61 3441 11819871 139709267717593 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * i) * x),x,1)
A047054: 1 5 50 750 15000 375000 11250000 393750000 15750000000 708750000000
A052562: 1 5 50 750 15000 375000 11250000 393750000 15750000000 708750000000 35437500000000 1949062500000000 116943750000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 2) + 1) * i) * x),x,1)
A010792: 1 4 40 720 20160 806400 43545600 3048192000 268240896000 28970016768000 3766102179840000 579979735695360000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) + 1) * i) * x),x,1)
A007019: 1 3 30 630 22680 1247400 97297200 10216206000 1389404016000 237588086736000 49893498214560000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - 1) * i) * x),x,1)
A000680: 1 1 6 90 2520 113400 7484400 681080400 81729648000 12504636144000 2375880867360000 548828480360160000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) + 1) * i) * x),x,1)
A232205: 1 2 4 24 96 960 5760 80640 645120 11612160 116121600 2554675200 30656102400 797058662400 11158821273600 334764638208000
loop(\(x,i).((((2 + 2) * 2) + i) * x),x,1)
A049389: 1 9 90 990 11880 154440 2162160 32432400 518918400 8821612800 158789030400 3016991577600 60339831552000 1267136462592000 27877002177024000 641171050071552000
loop(\(x,i).((((i + 2) + 2) * i) * x),x,1)
A010793: 1 5 60 1260 40320 1814400 108864000 8382528000 804722688000 94152554496000 13181357629440000 2174924008857600000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 2) * 2) + i) * x),x,1)
A051604: 1 7 70 910 14560 276640 6086080 152152000 4260256000 132067936000 4490309824000 166141463488000 6645658539520000 285763317199360000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) + 2) * i) + x),x,1)
A298950: 1 4 8 17 25 40 52 73 89 116 136 169 193 232 260 305
loop(\(x,i).(((2 - (i mod 2)) * i) * x),x,1)
A268363: 1 1 4 12 96 480 5760 40320 645120 5806080 116121600 1277337600 30656102400 398529331200 11158821273600 167382319104000
loop(\(x,i).(((i * i) * i) * (i * x)),x,1)
A134375: 1 1 16 1296 331776 207360000 268738560000 645241282560000 2642908293365760000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) + x) + 2) * i),x,1)
A105344: 1 4 12 45
((x - (if (x - (2 + 1)) <= 0 then 1 else 0)) mod 2)
A266611: 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1
((x - (if (x - (2 + 2)) <= 0 then 1 else 0)) mod 2)
A266246: 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2)
A261596-A161274-A158465: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
(if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else 2)
A308979-A308978-A308977-A308976-A308975-A307637: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2
(x - (if ((x div (2 + 1)) - 2) <= 0 then 0 else 2))
A245353: 0 1 2 3 4 5 6 7 8 7 8 9 10 11 12 13
(x - (if (((x div 2) - 2) - 2) <= 0 then 0 else 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A309166-A081599-A028903: 0 1 2 3 4 5 6 7 8 9 8 9 10 11 12 13
(if ((x - 2) mod ((x mod 2) + 2)) <= 0 then 0 else 2)
A290542: 0 2 0 2 0 0 0 2 0 2 0 0 0 2 0 2
((if ((x div 2) - 1) <= 0 then (x mod 2) else 0) + 2)
A159580: 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2
loop(\(x,i).((x div 2) - (x * 2)),x,(0 - 2))
A333588: ~2 3 ~5 7 ~11 16 ~24 36 ~54 81 ~122 183 ~275 412 ~618 927
((if (x - 1) <= 0 then x else 2) - (x div (0 - 2)))
A267530: 0 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10
(x - ((if x <= 0 then 1 else (x * x)) div (0 - 2)))
A222011: 1 2 4 8
A080476: 1 2 4 8 12 18 24 32 40 50 60 72 84 98 112 128
(2 - (if x <= 0 then 1 else ((x * x) div (0 - 2))))
A105343: 1 3 4 7 10 15 20 27 34 43 52 63 74 87 100 115
(loop(\(x,i).((x + 1) * (2 + 1)),x,0) div 2)
A080926: 0 1 6 19 60 181 546 1639 4920 14761 44286 132859 398580 1195741 3587226 10761679
(loop(\(x,i).(((x div 2) + x) + 2),x,0) div 2)
A079719: 0 1 2 4 7 12 19 29 45 68 103 156 235 353 531 797
((((x + 2) + 2) * 2) + (if x <= 0 then 0 else 2))
A048868: 8 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40
(loop(\(x,i).((i - (x - 1)) * i),x,0) div 2)
A009574: 0 1 1 3 ~2 25 ~129 931 ~7412 66753 ~667475 7342291 ~88107414 1145396473 ~16035550517 240533257875
(loop(\(x,i).(((i + x) - 1) * i),x,0) div 2)
A038155: 0 0 1 6 30 160 975 6846 54796 493200 4932045 54252550 651030666 8463398736 118487582395 1777313736030
((x - (if ((x div 2) - 2) <= 0 then 0 else 1)) mod 2)
A082446: 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0
(((x div (2 + 1)) + (if x <= 0 then 0 else 1)) mod 2)
A327256: 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0
(if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2)
A103380: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2
((loop(\(x,i).((x + 2) * 2),x,1) + 1) div 2)
A131051: 1 3 8 18 38 78 158 318 638 1278 2558 5118 10238 20478 40958 81918
(loop(\(x,i).((i * x) + 2),(x + 1),1) div 2)
A082570: 1 4 13 53 266 1597 11180 89441 804970 8049701 88546712 1062560545 13813287086 193386019205 2900790288076 46412644609217
((loop(\(x,i).((0 - i) * x),x,1) + 1) div 2)
A105752: 1 0 1 ~3 12 ~60 360 ~2520 20160 ~181440 1814400 ~19958400 239500800 ~3113510400 43589145600 ~653837184000
((x mod ((if (x - 2) <= 0 then 0 else 2) + 1)) div 2)
A320003: 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0
(((if x <= 0 then 1 else x) div ((0 - 2) - 1)) mod 2)
A302203: 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1
(if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2)
A292027-A263109-A261585-A214564-A206245-A206244-A112348-A103378-A083311-A055098: 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then 1 else 2)
A259143: 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else 2)
A342227-A333748-A320267-A297784-A295658-A287656-A271952-A263110-A262432-A258257-A239526-A238015-A209869-A203640-A163379-A117358-A114295-A069291-A063775-A062379-A053164-A046042-A043567-A043543-A043289: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2
(if ((x div 2) - ((2 + 1) * 2)) <= 0 then 1 else 2)
A316089-A072344-A066422: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2
(loop(\(x,i).i,(((x div 2) - 1) div 2),1) mod 2)
A105586: 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1
(if ((x mod ((2 + 2) * 2)) - 2) <= 0 then 1 else 2)
A038082: 1 1 1 2 2 2 2 2 1 1 1
((if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1) + 2)
A172515: 3 3 4 3 3 3 4 3 3 3 4 3 3 3 4 3
(x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else 2))
A297242-A230224-A178101-A112801-A046785: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1
(x mod (if (((x div 2) - 2) - 2) <= 0 then 1 else 2))
A308069: 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1
(if ((x div ((x mod 2) + 2)) - 2) <= 0 then 1 else 2)
A237684: 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2
(if (x mod 2) <= 0 then 1 else (((2 + 2) + 1) * 2))
A010691: 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10
loop(\(x,i).(x * x),x,(((2 + 2) + 1) * 2))
A220812: 10 100 10000 100000000 10000000000000000 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),x,((2 + 2) + 1)) + 2)
A152578: 7 27 627 390627 152587890627 4611686018427387903 4611686018427387903
(x div ((if ((2 - x) + 2) <= 0 then 2 else 1) + 2))
A289133: 0 0 0 1 1 1 1 1 2 2 2 2 3 3 3 3
(if ((x * x) mod ((x + 2) + 2)) <= 0 then 1 else 2)
A140685: 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2
((x mod loop(\(x,i).i,((x div 2) - 2),1)) div 2)
A114699-A024157: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0
(if x <= 0 then 1 else ((((x div 2) * 2) + 1) * 2))
A063210: 1 2 6 6 10 10 14 14 18 18 22 22 26 26 30 30
(loop(\(x,i).(x * x),(x + 1),(2 + 1)) + 2)
A152582: 11 83 6563 43046723 1853020188851843 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(x - 2),(2 + 1)) div 2)
A122391: 1 1 1 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288
(loop(\(x,i).(x * 2),x,1) + ((2 + 1) * 2))
A153972: 7 8 10 14 22 38 70 134 262 518 1030 2054 4102 8198 16390 32774
loop(\(x,i).((x * 2) + 1),x,((2 + 1) * 2))
A086224: 6 13 27 55 111 223 447 895 1791 3583 7167 14335 28671 57343 114687 229375
loop(\(x,i).((x * x) - 2),x,((2 + 1) * 2))
A003423: 6 34 1154 1331714 1773462177794 4611686018427387903 4611686018427387903
loop(\(x,i).((x - i) * i),x,((2 + 1) * 2))
A101634: 6 5 6 9 20 75 414 2849 22728 204471 2044610 22490589 269886924 3508529843 49119417606 736791263865
(loop(\(x,i).((x * x) - 2),x,(2 + 1)) * 2)
A213681: 6 14 94 4414 9741694 47450300994814 4611686018427387903 4611686018427387903
(1 mod loop(\(x,i).(x * x),(x - (2 + 1)),2))
A053776: 1 1 1 1 1 1 1 1 1 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((x - (x div (2 + 1))) * 2))
A063200: 1 2 4 4 6 8 8 10 12 12 14 16 16 18 20 20
(loop(\(x,i).((i + 1) * x),x,(2 + 1)) div 2)
A070960: 1 3 9 36 180 1080 7560 60480 544320 5443200 59875200 718502400 9340531200 130767436800 1961511552000 31384184832000
(if x <= 0 then 1 else (((x * x) * (2 + 1)) + 2))
A005918: 1 5 14 29 50 77 110 149 194 245 302 365 434 509 590 677
(if x <= 0 then 1 else (((x * x) div (2 + 1)) + 2))
A193622: 1 2 3 5 7 10
(if x <= 0 then 1 else (((x * x) mod (2 + 1)) + 2))
A164359: 1 3 3 2 3 3 2 3 3 2 3 3 2 3 3 2
(loop(\(x,i).((x * x) * x),x,(2 + 1)) div 2)
A173506: 1 13 9841 3812798742493 4611686018427387903
loop(\(x,i).((x * 2) + 1),((x * 2) + 1),2)
A140529: 5 23 95 383 1535 6143 24575 98303 393215 1572863 6291455 25165823 100663295 402653183 1610612735 6442450943
loop(\(x,i).((x + 2) * 2),((x * 2) + 1),2)
A181358: 8 44 188 764 3068 12284 49148 196604 786428 3145724 12582908 50331644 201326588 805306364 3221225468 12884901884
loop(\(x,i).((x * 2) * 2),((x * 2) + 1),2)
A013777: 8 128 2048 32768 524288 8388608 134217728 2147483648 34359738368 549755813888 8796093022208 140737488355328 2251799813685248 36028797018963968 576460752303423488 4611686018427387903
loop(\(x,i).(x * x),2,(((x * 2) + 1) * 2))
A016828: 16 1296 10000 38416 104976 234256 456976 810000 1336336 2085136 3111696 4477456 6250000 8503056 11316496 14776336
loop(\(x,i).((i + x) + x),((x * 2) + 1),2)
A069993: 5 27 121 503 2037 8179 32753 131055 524269 2097131 8388585 33554407 134217701 536870883 2147483617 8589934559
loop(\(x,i).((x * x) * 2),((x * 2) - 1),2)
A046967: 2 8 32768 4611686018427387903
(loop(\(x,i).((i + 1) * x),(x * 2),1) div 2)
A085990: 0 3 60 2520 181440 19958400 3113510400 653837184000 177843714048000 60822550204416000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((2 mod ((x div 2) + 1)) + 2))
A217871: 1 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4
loop(\(x,i).(x * 2),x,(((x div 2) + 1) mod 2))
A108474: 1 2 0 0 16 32 0 0 256 512 0 0 4096 8192 0 0
(if x <= 0 then 1 else (((2 - (x mod 2)) + 1) * 2))
A231407: 1 4 6
A168428: 1 4 6 4 6 4 6 4 6 4 6 4 6 4 6 4
((if x <= 0 then 1 else x) mod (((x mod 2) + 1) * 2))
A204689: 1 1 0 3 0 1 0 3 0 1 0 3 0 1 0 3
((loop(\(x,i).((x div 2) + x),x,2) - 1) * 2)
A305498: 2 4 6 10 16 24 36 54 82 124 186 280 420 630 946 1420
(if x <= 0 then 1 else ((((x * x) * 2) + 1) * 2))
A005899: 1 6 18 38 66 102 146 198 258 326 402 486 578 678 786 902
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) div 2)
A015518: 0 1 2 7 20 61 182 547 1640 4921 14762 44287 132860 398581 1195742 3587227
(loop(\(x,i).(((x div 2) + x) + 1),x,1) * 2)
A305497: 2 4 8 14 22 34 52 80 122 184 278 418 628 944 1418 2128
(loop(\(x,i).((i * i) + (x + 1)),x,1) * 2)
A159938: 2 6 16 36 70 122 196 296 426 590 792 1036 1326 1666 2060 2512
(loop(\(x,i).(((i + x) - 2) * 2),x,1) * 2)
A302689: 2 0 0 4 16 44 104 228 480 988 2008 4052 8144 16332 32712 65476
((((if (x - 1) <= 0 then x else 2) + x) + 1) * 2)
A214586: 2 6 10 12 14 16 18 20 22 24 26 28 30 32 34 36
(loop(\(x,i).(((x - 1) * i) div 2),x,1) mod 2)
A117944: 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0
(loop(\(x,i).(x * x),(2 + 1),(x + 1)) div 2)
A191899: 0 128 3280 32768 195312 839808 2882400 8388608 21523360 50000000 107179440 214990848 407865360 737894528 1281445312 2147483648
loop(\(x,i).(((x + 2) * x) - 2),(x + 1),2)
A145506: 6 46 2206 4870846 23725150497406 4611686018427387903 4611686018427387903
(((if x <= 0 then 0 else (x + 2)) * (x + 1)) div 2)
A253145: 0 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136
loop(\(x,i).(x * x),((x + 2) * (x + 1)),2)
A341689: 16 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(x div 2),(x + 1)) div 2)
A239632: 0 1 3 4 10 12 28 32 72 80 176 192 416 448 960 1024
(loop(\(x,i).((x * x) * x),2,(x + 1)) div 2)
A191680: 0 256 9841 131072 976562 5038848 20176803 67108864 193710244 500000000 1178973845 2579890176 5302249686 10330523392 19221679687 34359738368
((loop(\(x,i).(i * x),x,2) mod (x + 1)) + 2)
A118136: 2 2 3 2 5 2 7 2 2 2 11 2 13 2 2 2
loop(\(x,i).(((i * i) * x) div 2),(x + 1),2)
A184358: 1 2 9 72 900 16200 396900 12700800 514382400 25719120000 1556006760000 112032486720000 9466745127840000 927741022528320000 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (x div 2) else ((x + 1) * 2))
A271478: 0 4 1 8 2 12 3 16 4 20 5 24 6 28 7 32
(x div (if (x - 2) <= 0 then 2 else ((x + 1) div 2)))
A185219-A185218: 0 0 1 1 2 1 2 1 2 1 2 1 2 1 2 1
loop(\(x,i).(x * 2),(x - 1),((x + 1) mod 2))
A199573: 1 0 2 0 8 0 32 0 128 0 512 0 2048 0 8192 0
loop(\(x,i).(x * 2),(x div 2),((x + 1) mod 2))
A077957: 1 0 2 0 4 0 8 0 16 0 32 0 64 0 128 0
loop(\(x,i).(i - (x * 2)),x,((x + 1) mod 2))
A082383: 1 1 4 3 14 9 52 31 202 117 800 459 3190 1825 12748 7287
loop(\(x,i).((i - x) * 2),x,((x + 1) mod 2))
A068018: 1 2 4 6 12 18 40 62 148 234 576 918 2284 3650 9112 14574
((if ((x div 2) - 2) <= 0 then x else (x + 1)) div 2)
A194212: 0 0 1 1 2 2 3 4 4 5 5 6 6 7 7 8
((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2)
A288818-A283991-A252233-A010051: 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0
(loop(\(x,i).(i * x),(x + 2),(x - 1)) + 2)
A280556: 0 2 26 242 2162 20162 201602 2177282 25401602 319334402 4311014402 62270208002 958961203202 15692092416002 271996268544002 4979623993344002
((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2))
A040042: 7 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
((((2 + 2) * 2) * 2) * (if x <= 0 then 1 else 2))
A040240: 16 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32
((x div ((2 + 2) * 2)) + (if x <= 0 then 1 else 2))
A134914-A082528: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
(((2 - (x mod 2)) * 2) * (if x <= 0 then 1 else 2))
A040013: 4 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4
((((x + 1) * x) + 2) * (if x <= 0 then 1 else 2))
A137882: 2 8 16 28 44 64 88 116 148 184 224 268 316 368 424 484
((((x + 1) * x) div 2) + (if x <= 0 then 1 else 2))
A097911: 1 3 5 8
A133263: 1 3 5 8 12 17 23 30 38 47 57 68 80 93 107 122
((((x - 1) * x) div 2) + (if x <= 0 then 1 else 2))
A089071: 1 2 3 5 8 12 17 23 30 38 47 57 68 80 93 107
((((x - 2) * x) div 2) + (if x <= 0 then 1 else 2))
A261243: 1 1 2 3 6 9 14 19 26 33 42 51 62 73 86 99
((((2 + 2) * 2) + x) + (if x <= 0 then 1 else 2))
A263772: 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
((((x mod 2) + x) * x) + (if x <= 0 then 1 else 2))
A231407: 1 4 6
A157616: 1 4 6 14 18 32 38 58 66 92 102 134
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 2)
A242328: 3 7 27 127 627 3127 15627 78127 390627 1953127 9765627 48828127 244140627 1220703127 6103515627 30517578127
loop(\(x,i).((x * x) * x),((x * x) + 1),2)
A173058: 8 512 4611686018427387903
(loop(\(x,i).(((x - i) div 2) * i),x,1) mod 2)
A217586: 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1
((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 2)
A345438: 2 4 4 4 4 2 4 4
((if (x - ((2 + 1) * 2)) <= 0 then 0 else 2) + 2)
A166594: 2 2 2 2 2 2 2 4 4 4 4 4 4 4 4 4
(((if (x mod (2 + 2)) <= 0 then 2 else 0) + 2) * 2)
A226276: 8 4 4 4 8 4 4 4 8 4 4 4 8 4 4 4
(x - (if ((x div 2) mod 2) <= 0 then (0 - 2) else 2))
A004443: 2 3 0 1 6 7 4 5 10 11 8 9 14 15 12 13
(2 - ((if x <= 0 then 1 else x) div ((0 - 2) - 2)))
A050499: 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6
(x - ((if x <= 0 then 1 else x) div ((0 - 2) - 2)))
A226066-A184486-A005838: 1 2 3 4 5 7 8 9 10 12 13 14 15 17 18 19
((loop(\(x,i).(i - (i * x)),x,0) - 2) * 2)
A056158: ~4 ~2 ~4 2 ~20 86 ~532 3706 ~29668 266990 ~2669924 29369138 ~352429684 4581585862 ~64142202100 962133031466
((if (x mod 2) <= 0 then 1 else ((2 + 1) * 2)) + 2)
A309345: 3 8 3 8 3 8
A010706: 3 8 3 8 3 8 3 8 3 8 3 8 3 8 3 8
((if x <= 0 then 2 else (((x div 2) + 1) div 2)) div 2)
A264593: 1 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2
((loop(\(x,i).((x * 2) * 2),x,1) + 2) + 2)
A178675: 5 8 20 68 260 1028 4100 16388 65540 262148 1048580 4194308 16777220 67108868 268435460 1073741828
((loop(\(x,i).((x * 2) * 2),x,1) - 2) - 2)
A058896: ~3 0 12 60 252 1020 4092 16380 65532 262140 1048572 4194300 16777212 67108860 268435452 1073741820
(loop(\(x,i).((x * x) + 1),(x + 1),2) - 2)
A056207: 3 24 675 458328 210066388899 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 2) * 2),(x + 1),2) * 2)
A182461: 16 40 88 184 376 760 1528 3064 6136 12280 24568 49144 98296 196600 393208 786424
(loop(\(x,i).((x + 1) * x),(x + 1),2) * 2)
A118017: 12 84 3612 6526884 21300113901612
(loop(\(x,i).((x * 2) + 1),(x - 1),2) div 2)
A266550: 1 1 2 5 11 23 47 95 191 383 767 1535 3071 6143 12287 24575
(loop(\(x,i).((x div 2) + x),(x - 1),2) div 2)
A073941: 1 1 1 2 3 4 6 9 14 21 31 47 70 105 158 237
((loop(\(x,i).((2 + 1) * x),x,1) + 2) + 2)
A178648: 5 7 13 31
A168609: 5 7 13 31 85 247 733 2191 6565 19687 59053 177151 531445 1594327 4782973 14348911
((loop(\(x,i).((2 + 1) * x),x,1) - 2) - 2)
A168611: ~3 ~1 5 23 77 239 725 2183 6557 19679 59045 177143 531437 1594319 4782965 14348903
(((loop(\(x,i).(x * 2),x,1) div 2) + 2) * 2)
A078785-A053016: 4 6 8 12 20
A146528: 4 6 8 12 20 36 68 132 260 516 1028 2052 4100 8196 16388 32772
((if x <= 0 then 2 else (((x + 1) div 2) div 2)) div 2)
A025152-A017862: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2
((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)
A010708: 3 10 3 10 3 10 3 10 3 10 3 10 3 10 3 10
((x div loop(\(x,i).i,(x div (2 + 2)),2)) mod 2)
A181712: 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1
(((loop(\(x,i).(x * 2),x,2) + 2) * 2) * 2)
A175161: 16 24 40 72 136 264 520 1032 2056 4104 8200 16392 32776 65544 131080 262152
(loop(\(x,i).(x * x),(x - 1),(2 + 2)) + 2)
A073096: 6 6 18 258 65538 4294967298 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) + ((2 + 2) * 2))
A242475: 9 10 12 16 24 40 72 136 264 520 1032 2056 4104 8200 16392 32776
loop(\(x,i).((x * 2) - 1),x,((2 + 2) * 2))
A083686: 8 15 29 57 113 225 449 897 1793 3585 7169 14337 28673 57345 114689 229377
(((if x <= 0 then 2 else 1) - x) mod ((2 + 2) * 2))
A228819: 2 0 7 6
(if (x - 2) <= 0 then 1 else (x div ((2 + 2) * 2)))
A186728: 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1
(if (x mod 2) <= 0 then 1 else (x div ((2 + 2) * 2)))
A339368-A109704-A008618: 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1
loop(\(x,i).((2 + 1) * x),x,((2 + 2) * 2))
A005051: 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584 38263752 114791256
loop(\(x,i).((i + 1) * x),x,((2 + 2) * 2))
A159038: 8 16 48 192 960 5760 40320 322560 2903040 29030400 319334400 3832012800 49816166400 697426329600 10461394944000 167382319104000
(loop(\(x,i).((x * 2) + 1),x,(2 + 2)) div 2)
A054135: 2 4 9 19 39 79 159 319 639 1279 2559 5119 10239 20479 40959 81919
(loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2)
A159741: 8 24 56 120 248 504 1016 2040 4088 8184 16376 32760 65528 131064 262136 524280
((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) mod 2)
A274828: 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1
((if x <= 0 then 1 else x) - ((x div (2 + 2)) * 2))
A187180: 1 1 2 3 2 3 4 5 4 5 6 7 6 7 8 9
loop(\(x,i).(x * 2),x,(((x + 2) + 2) + 2))
A078836: 6 14 32 72 160 352 768 1664 3584 7680 16384 34816 73728 155648 327680 688128
loop(\(x,i).(x * x),x,(((x + 2) * 2) * 2))
A235383: 8 144
((loop(\(x,i).(x * 2),x,(x + 2)) div 2) div 2)
A129953: 0 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264
((loop(\(x,i).(x * x),2,(x * 2)) + 2) + 2)
A222655: 4 20 260 1300 4100 10004 20740 38420 65540 104980 160004 234260 331780 456980 614660 810004
loop(\(x,i).(x * x),2,(((x * 2) * 2) * 2))
A017068: 0 4096 65536 331776 1048576 2560000 5308416 9834496 16777216 26873856 40960000 59969536 84934656 116985856 157351936 207360000
loop(\(x,i).((i + 1) * x),((x * 2) * 2),2)
A006523: 2 240 725760 12454041600 711374856192000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),((x * 2) * 2),2)
A176935-A118019: 2 4611686018427387903
A257228: 2 4611686018427387903 4611686018427387903
A100267: 2 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A154424: 2 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A082566: 2 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A309966: 2 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * x),(x * 2),2) div 2)
A195529-A004217: 1 256 4611686018427387903
((if (x mod 2) <= 0 then 1 else ((x div 2) + 2)) + 2)
A244055: 3 4 3 5 3
(if (x mod 2) <= 0 then 1 else (((x div 2) + 2) + 2))
A019303: 1 4 1 5 1 6 1 7 1 8 1 9 1 10 1 11
(if x <= 0 then 1 else (x div (((x div 2) + 2) + 2)))
A264594-A185117: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1
loop(\(x,i).(x * 2),x,(((x mod 2) + 2) + 2))
A056486: 4 10 16 40 64 160 256 640 1024 2560 4096 10240 16384 40960 65536 163840
(((if x <= 0 then 1 else x) mod ((x mod 2) + 2)) mod 2)
A060396: 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0
(loop(\(x,i).(x * 2),x,((x mod 2) + 2)) div 2)
A084221: 1 3 4 12 16 48 64 192 256 768 1024 3072 4096 12288 16384 49152
(((if x <= 0 then 2 else x) div ((x mod 2) + 2)) mod 2)
A115604: 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1
((if x <= 0 then 2 else (x mod ((x mod 2) + 2))) div 2)
A339089-A327153-A281244-A133943: 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
((x * x) mod loop(\(x,i).((x * x) + 2),2,2))
A070460: 0 1 4 9 16 25 36 11 26 5 24 7 30 17 6 35
(x - loop(\(x,i).(1 - ((x * x) * 2)),2,2))
A130765: 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
(if ((x div (2 + 1)) - 2) <= 0 then 1 else (2 + 2))
A032564: 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4
(if (((x div 2) - 2) - 2) <= 0 then 1 else (2 + 2))
A138908: 1 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4
loop(\(x,i).((x * 2) + 1),(x * 2),(2 + 2))
A156760: 4 19 79 319 1279 5119 20479 81919 327679 1310719 5242879 20971519 83886079 335544319 1342177279 5368709119
loop(\(x,i).((x * 2) * 2),(x * 2),(2 + 2))
A013709: 4 64 1024 16384 262144 4194304 67108864 1073741824 17179869184 274877906944 4398046511104 70368744177664 1125899906842624 18014398509481984 288230376151711744 4611686018427387903
loop(\(x,i).((x * x) - 2),(x * 2),(2 + 2))
A219163: 4 194 1416317954 4611686018427387903
loop(\(x,i).((i * x) * 2),(x * 2),(2 + 2))
A257583: 4 32 1536 184320 41287680 14863564800 7847962214400 5713316492083200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + 1),x,(2 + 2))
A330246: 4 17 69 277 1109 4437 17749 70997 283989 1135957 4543829 18175317 72701269 290805077 1163220309 4652881237
loop(\(x,i).(((x * 2) * 2) - 1),x,(2 + 2))
A199210: 4 15 59 235 939 3755 15019 60075 240299 961195 3844779 15379115 61516459 246065835 984263339 3937053355
loop(\(x,i).(((x * x) * 2) - 1),x,(2 + 2))
A005828: 4 31 1921 7380481 108942999582721 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) - 1),x,(2 + 2))
A199109: 4 11 32 95 284 851 2552 7655 22964 68891 206672 620015 1860044 5580131 16740392 50221175
loop(\(x,i).(((x - 1) * x) - 1),x,(2 + 2))
A144744: 4 11 109 11771 138544669 19194625169774891 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 2) * (x + 1)),x,(2 + 2))
A155721: 4 20 84 340 1364 5460 21844 87380 349524 1398100 5592404 22369620 89478484 357913940 1431655764 5726623060
(loop(\(x,i).(i * x),(x - 1),x) * (2 + 2))
A052578: 0 4 8 24 96 480 2880 20160 161280 1451520 14515200 159667200 1916006400 24908083200 348713164800 5230697472000
loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 2))
A013731: 4 32 256 2048 16384 131072 1048576 8388608 67108864 536870912 4294967296 34359738368 274877906944 2199023255552 17592186044416 140737488355328
loop(\(x,i).(((2 + 1) * x) + 2),x,(2 + 2))
A198643: 4 14 44 134 404 1214 3644 10934 32804 98414 295244 885734 2657204 7971614 23914844 71744534
loop(\(x,i).(((x + 1) * x) div 2),x,(2 + 2))
A013589: 4 10 55 1540 1186570 703974775735 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),2,x) * (2 + 2))
A288486: 0 24 168 624 1680 3720 7224 12768 21024 32760 48840 70224 97968 133224 177240 231360
loop(\(x,i).(((x - 1) * x) div 2),x,(2 + 2))
A086714: 4 6 15 105 5460 14903070 111050740260915 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 2) * x) - 2),x,(2 + 2))
A145504: 4 22 526 277726 77132286526 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) - x) div (2 + 2))
A173010: 0 0 1 3 7 14 30 62 126 253 509 1021 2045 4092 8188 16380
(loop(\(x,i).((i + x) * x),2,x) div (2 + 2))
A001621: 0 2 12 42 110 240 462 812 1332 2070 3080 4422 6162 8372 11130 14520
loop(\(x,i).i,(x mod (2 + 2)),(x div (2 + 2)))
A276327: 0 1 2 3 1 1 2 3 2 1 2 3 3 1 2 3
((if x <= 0 then 1 else (x * 2)) - (x div (2 + 2)))
A184654: 1 2 4 6 7 9 11 13 14 16 18 20 21 23 25 27
(((if (x mod 2) <= 0 then 1 else x) + x) * (2 + 2))
A272708: 4 8 12 24 20 40 28 56 36 72 44 88 52 104 60 120
loop(\(x,i).((x div (2 + 2)) + x),x,(2 + 2))
A182305: 4 5 6 7 8 10 12 15 18 22 27 33 41 51 63 78
(((if (x mod 2) <= 0 then 2 else x) * x) div (2 + 2))
A129889: 0 0 1 2 2 6 3 12 4 20 5 30 6 42 7 56
loop(\(x,i).(i * x),x,((x * x) div (2 + 2)))
A306258: 0 0 2 12 96 720 6480 60480 645120 7257600 90720000 1197504000 17244057600 261534873600 4271736268800 73229764608000
loop(\(x,i).(((x + 2) * 2) + i),x,(2 + 2))
A208638: 4 13 32 71 150 309 628 1267 2546 5105 10224 20463 40942 81901 163820 327659
(loop(\(x,i).(((x * 2) * 2) + 1),x,2) div 2)
A266753: 1 4 18 74 298 1194 4778 19114 76458 305834 1223338 4893354 19573418 78293674 313174698 1252698794
(loop(\(x,i).(((2 + 1) * x) + 1),x,2) div 2)
A081250: 1 3 11 33 101 303 911 2733 8201 24603 73811 221433 664301 1992903 5978711 17936133
(loop(\(x,i).(((2 + 1) * x) - 1),x,2) + 2)
A289521: 4 7 16 43 124 367 1096 3283 9844 29527 88576 265723 797164 2391487 7174456 21523363
(loop(\(x,i).(((i + 2) * x) - 1),x,2) div 2)
A002395: 1 2 9 47
((x * x) mod loop(\(x,i).((x + 1) * x),2,2))
A070464: 0 1 4 9 16 25 36 7 22 39 16 37 18 1 28 15
loop(\(x,i).(x * x),(x - ((2 - x) div 2)),2)
A249760: 2 4 16 65536
(loop(\(x,i).(x * 2),(x - 1),(x + 2)) div 2)
A087447: 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264
(loop(\(x,i).((x - 1) * x),2,(x + 2)) div 2)
A088058: 1 15 66 190 435 861 1540 2556 4005 5995 8646 12090 16471 21945
loop(\(x,i).((i * i) + (x + 2)),(x + 2),2)
A026037: 11 22 40 67 105 156 222 305 407 530 676 847 1045 1272 1530 1821
(loop(\(x,i).((x - i) * x),2,(x + 2)) div 2)
A033486: 0 12 60 180 420 840 1512 2520 3960 5940 8580 12012 16380 21840 28560 36720
(loop(\(x,i).(x * 2),x,1) mod ((x + 2) + 2))
A294390: 1 2 4 1 0 5 4 7 4 5 2 8 0 15 4 12
loop(\(x,i).((i + 2) * x),x,((x + 2) + 2))
A171005: 4 15 72 420 2880 22680 201600 1995840 21772800 259459200 3353011200 46702656000 697426329600 11115232128000 188305108992000 3379030566912000
(if (x mod 2) <= 0 then (x + 1) else ((x + 2) * 2))
A066070: 1 6 3 10 5 14 7 18 9 22 11 26 13 30 15 34
((if (2 - x) <= 0 then x else 2) + ((x + 2) * 2))
A086822: 6 8 10 13 16 19 22 25 28 31 34 37 40 43 46 49
loop(\(x,i).((2 + 1) * x),x,((x + 2) * 2))
A159715: 4 18 72 270 972 3402 11664 39366 131220 433026 1417176 4605822 14880348 47829690 153055008 487862838
((if (x - (2 + 2)) <= 0 then x else (x + 2)) + 2)
A319824: 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19
(loop(\(x,i).((x + 2) * 2),x,(x + 2)) div 2)
A047860: 1 5 14 34 78 174 382 830 1790 3838 8190 17406 36862 77822 163838 344062
((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 2)
A336064-A336063-A279486-A001476: 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19
(loop(\(x,i).((i + x) * 2),x,(x + 2)) div 2)
A133546: 1 4 12 31 74 169 376 823 1782 3829 8180 17395 36850 77809 163824 344047
(loop(\(x,i).((i * x) * 2),x,(x + 2)) div 2)
A216149: 1 3 16
A187735: 1 3 16 120 1152 13440 184320 2903040 51609600 1021870080 22295347200 531372441600 13733933875200 382588157952000 11426632984166400 364223926370304000
(if (x - (2 + 1)) <= 0 then x else ((x - 2) * 2))
A068670-A004271: 0 1 2 3 4 6 8 10 12 14 16 18 20 22 24 26
loop(\(x,i).((1 - x) * (2 + 1)),(x * 2),2)
A137483: 2 12 102 912 8202 73812 664302 5978712 53808402 484275612 4358480502 39226324512 353036920602 3177332285412 28595990568702 257363915118312
loop(\(x,i).(((2 + 1) * x) + 1),(x * 2),2)
A255043: 2 22 202 1822 16402 147622 1328602 11957422 107616802 968551222 8716961002 78452649022 706073841202 6354664570822 57191981137402 514727830236622
loop(\(x,i).(((2 + 1) * x) - 1),(x * 2),2)
A199560: 2 14 122 1094 9842 88574 797162 7174454 64570082 581130734 5230176602 47071589414 423644304722 3812798742494 34315188682442 308836698141974
loop(\(x,i).(((i + 1) * x) + 1),(x * 2),2)
A294039: 2 16 326 13700 986410 108505112 16926797486 3554627472076 966858672404690 330665665962404000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (i + 1)),(x * 2),2)
A067626: 2 48 3840 645120 185794560 81749606400 51011754393600 42849873690624000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),(x * 2),2)
A277757: 2 128 8192 524288 33554432 2147483648 137438953472 8796093022208 562949953421312 36028797018963968 2305843009213693952 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),2)
A198960: 2 26 242 2186 19682 177146 1594322 14348906 129140162 1162261466 10460353202 94143178826 847288609442 7625597484986 68630377364882 617673396283946
loop(\(x,i).((1 - x) - (x * 2)),(x * 2),2)
A199565: 2 16 142 1276 11482 103336 930022 8370196 75331762 677985856 6101872702 54916854316 494251688842 4448265199576 40034386796182 360309481165636
loop(\(x,i).(x * x),(2 + 1),((x * 2) * 2))
A016808: 0 65536 16777216 429981696 4294967296 25600000000 110075314176 377801998336 1099511627776 2821109907456 6553600000000 14048223625216 28179280429056 53459728531456 96717311574016 167961600000000
loop(\(x,i).((x * x) * x),1,((x * 2) * 2))
A016803: 0 64 512 1728 4096 8000 13824 21952 32768 46656 64000 85184 110592 140608 175616 216000
loop(\(x,i).((x * x) * x),2,((x * 2) * 2))
A016809: 0 262144 134217728 5159780352 68719476736 512000000000 2641807540224 10578455953408 35184372088832 101559956668416 262144000000000 618121839509504 1352605460594688 2779905883635712
loop(\(x,i).(((x * 2) + 1) * 2),(x div 2),2)
A263053: 2 2 10 10 42 42 170 170 682 682 2730 2730 10922 10922 43690 43690
loop(\(x,i).((2 - x) * (2 + 2)),(x div 2),2)
A167291: 2 2 0 0 8 8 ~24 ~24 104 104 ~408 ~408 1640 1640 ~6552 ~6552
(((if x <= 0 then 1 else x) * 2) div ((x div 2) + 2))
A332025: 1 1 1 2 2 2 2 2 2 3 2 3 3 3 3 3
(x mod loop(\(x,i).((x * x) * x),(x div 2),2))
A308071: 0 1 2 3 4 5 6 7 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - 2) <= 0 then x else ((2 - (x mod 2)) + 2))
A158515: 0 1 2 3 4 3 4 3 4 3 4 3 4 3 4 3
((loop(\(x,i).(x * 2),x,2) - (x mod 2)) - 2)
A101622: 0 1 6 13 30 61 126 253 510 1021 2046 4093 8190 16381 32766 65533
(loop(\(x,i).(x * 2),x,2) div ((x mod 2) + 2))
A092809: 1 1 4 5 16 21 64 85 256 341 1024 1365 4096 5461 16384 21845
loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2))
A164090: 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384
(loop(\(x,i).(x * 2),x,1) - ((x mod 2) * 2))
A099430: 1 0 4 6 16 30 64 126 256 510 1024 2046 4096 8190 16384 32766
(2 - (loop(\(x,i).((x div 2) + x),x,2) mod 2))
A304274: 2 1 2 2 1 1 1 2 2 1 2 1 1 2 2 1
(loop(\(x,i).(((i + x) - 1) * i),x,2) div 2)
A266083: 1 1 3 12 54 280 1695 11886 95116 856080 8560845 94169350 1130032266 14690419536 205665873595 3084988104030
((loop(\(x,i).((i * x) + 1),x,0) - x) div 2)
A038158: 0 0 0 3 18 100 615 4326 34636 311760 3117645 34294150 411529866 5349888336 74898436795 1123476552030
loop(\(x,i).(((x * 2) * (2 + 1)) + 1),x,2)
A198849: 2 13 79 475 2851 17107 102643 615859 3695155 22170931 133025587 798153523 4788921139 28733526835 172401161011 1034406966067
loop(\(x,i).(((x * 2) * (2 + 1)) - 1),x,2)
A199412: 2 11 65 389 2333 13997 83981 503885 3023309 18139853 108839117 653034701 3918208205 23509249229 141055495373 846332972237
(2 - ((if (x mod (2 + 1)) <= 0 then 1 else x) mod 2))
A244227-A131718: 1 1 2 1 2 1 1 1 2 1 2 1 1 1 2 1
(((if (x - (2 + 2)) <= 0 then 2 else 1) + x) div 2)
A229803: 1 1 2 2 3 3 3 4 4 5 5 6 6 7 7 8
loop(\(x,i).((((x * 2) * 2) * 2) + 1),x,2)
A132433: 2 17 137 1097 8777 70217 561737 4493897 35951177 287609417 2300875337 18407002697 147256021577 1178048172617 9424385380937 75395083047497
(2 - ((if (x - (2 + 2)) <= 0 then 1 else x) mod 2))
A334541: 1 1 1 1 1 1 2 1 2 1 2 1 2 1 2 1
loop(\(x,i).(((x - (i mod 2)) * 2) + 1),x,2)
A201363: 2 3 7
A048573: 2 3 7 13 27 53 107 213 427 853 1707 3413 6827 13653 27307 54613
loop(\(x,i).(x * x),2,(((2 + 1) * x) + 2))
A016792: 16 625 4096 14641 38416 83521 160000 279841 456976 707281 1048576 1500625 2085136 2825761 3748096 4879681
loop(\(x,i).((i + 2) * x),((2 + 1) * x),2)
A100043: 2 120 40320 39916800 87178291200 355687428096000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) * (2 + 1)),x,2)
A153647: 2 18 216 3240 58320 1224720 29393280 793618560 23808556800 785682374400 28284565478400 1103098053657600 46330118253619200 2084855321412864000 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((x * 2) - 1) * x) * 2))
A118239: 1 2 12 30 56 90 132 182 240 306 380 462 552 650 756 870
loop(\(x,i).(((x * 2) - (i mod 2)) + 1),x,2)
A081253: 2 4 9 18 37 74 149 298 597 1194 2389 4778 9557 19114 38229 76458
((if ((x div 2) mod 2) <= 0 then x else (1 - x)) div 2)
A127365: 0 0 ~1 ~1 2 2 ~3 ~3 4 4 ~5 ~5 6 6 ~7 ~7
loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,2)
A198769: 2 11 56 281 1406 7031 35156 175781 878906 4394531 21972656 109863281 549316406 2746582031 13732910156 68664550781
loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,2)
A199308: 2 9 44 219 1094 5469 27344 136719 683594 3417969 17089844 85449219 427246094 2136230469 10681152344 53405761719
((((if (x - 2) <= 0 then 1 else x) + 1) * x) div 2)
A186783: 0 1 2 6 10 15 21 28 36 45 55 66 78
loop(\(x,i).((((x * x) - 1) * x) + 1),x,2)
A144787: 2 7 337 38272417 4611686018427387903 4611686018427387903
((loop(\(x,i).((i * x) + 1),x,1) * x) div 2)
A036919: 0 1 5 24 130 815 5871 47950 438404 4438845 49320505 596778116 7812368070 110024183659 1658826153635 26659706040570
(loop(\(x,i).((i + 2) * x),(x + 1),x) div 2)
A213269: 0 6 60 540 5040 50400 544320 6350400 79833600 1077753600 15567552000 239740300800 3923023104000 67999067136000 1244905998336000 24008901396480000
(loop(\(x,i).((x * 2) - 1),(x - 1),x) div 2)
A139756: 0 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688
((loop(\(x,i).(x * x),2,(x - 1)) * x) div 2)
A019583: 0 0 1 24 162 640 1875 4536 9604 18432 32805 55000 87846 134784 199927 288120
((((2 + 1) * 2) mod (if x <= 0 then 1 else x)) mod 2)
A341619-A327159-A318880-A196272-A185015-A177063-A061853-A027192: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
(((x * x) + 2) div ((if x <= 0 then 1 else x) + 2))
A101788: 0 1 1 2 3 3 4 5 6 7 8 9 10 11 12 13
loop(\(x,i).(((i * x) * 2) div (i + 1)),x,2)
A339711: 2 2 2 3 4 6 10 17 30 54 98 179 330 612 1142 2141
((((if (x mod 2) <= 0 then x else 0) + 2) * x) div 2)
A240134: 0 1 4 3 12 5 24 7 40 9 60 11 84 13 112 15
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A043274: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2
(((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * 2)
A260391: 2 4 6 8 10 14 16 18 20 22 24 26 28 30 32 34
(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + 2)
A154660: 3 4 5 6 7 8
A138928: 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19
loop(\(x,i).(((x * 2) * (2 + 1)) + 2),x,2)
A005610: 2 14 86 518 3110 18662 111974 671846 4031078 24186470 145118822 870712934 5224277606 31345665638 188073993830 1128443962982
loop(\(x,i).(((x div 2) * (2 + 1)) + 2),x,2)
A304025: 2 5 8 14 23 35 53 80 122 185 278 419 629 944 1418 2129
((2 div (if (x mod (2 + 1)) <= 0 then 2 else x)) mod 2)
A227998: 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1
(loop(\(x,i).(((x + 1) * x) + 1),2,x) - 2)
A072025: 1 11 55 181 461 991 1891 3305 5401 8371 12431 17821 24805 33671 44731 58321
(loop(\(x,i).(((x + 1) * x) + 1),2,x) div 2)
A336535: 1 6 28 91 231 496 946 1653 2701 4186 6216 8911 12403 16836 22366 29161
(loop(\(x,i).((i + x) * (x + 1)),2,x) * 2)
A120571: 12 60 220 612 1404 2812 5100 8580 13612 20604 30012 42340 58140 78012 102604 132612
(if (x mod 2) <= 0 then (((2 + 2) * 2) - x) else 2)
A228818: 8 2 6 2
(x mod ((if ((x div 2) mod 2) <= 0 then 2 else x) div 2))
A122179-A101606-A048622: 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1
((loop(\(x,i).((x * x) + 2),2,2) * x) * 2)
A004944-A004924: 0 76 152 228 304 380 456 532 608 684 760 836 912 988 1064 1140
(((if (x mod 2) <= 0 then 1 else (2 + 2)) + x) * 2)
A142954: 2 10 6 14 10 18 14 22 18 26 22 30 26 34 30 38
(2 div (if ((x + 2) mod (2 + 2)) <= 0 then x else 2))
A303300: 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1
loop(\(x,i).((((x + 1) * x) div 2) + 2),x,2)
A067339: 2 5 17 155 12092 73114280 2672849006516342 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,2)
A199213: 2 8 38 188 938 4688 23438 117188 585938 2929688 14648438 73242188 366210938 1831054688 9155273438 45776367188
loop(\(x,i).((x - ((2 - i) div 2)) * 2),x,2)
A288206: 2 4 8 18 38 80 164 334 674 1356 2720 5450 10910 21832 43676 87366
loop(\(x,i).((x * 2) - ((i div 2) mod 2)),x,2)
A262267: 2 4 7 13 26 52 103 205 410 820 1639 3277 6554 13108 26215 52429
((((if (x - 2) <= 0 then 1 else x) mod 2) + x) + 2)
A320727: 3 4 5 6 6 8
loop(\(x,i).((((i * 2) - 1) * x) * 2),x,2)
A151817: 2 4 24 240 3360 60480 1330560 34594560 1037836800 35286451200 1340885145600 56317176115200 2590590101299200 129529505064960000 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i * x) + 1) * x),2,x) div 2)
A219086: 0 5 39 150 410 915 1785 3164 5220 8145 12155 17490 24414 33215 44205 57720
((loop(\(x,i).((x * 2) * 2),x,2) - x) - 2)
A124133: 0 5 28 123 506 2041 8184 32759 131062 524277 2097140 8388595 33554418 134217713 536870896 2147483631
loop(\(x,i).(((i + 2) * i) + (x + 2)),x,2)
A145066: 2 7 17 34 60 97 147 212 294 395 517 662 832 1029 1255 1512
(((if (x - 2) <= 0 then 1 else (x - 2)) + x) * 2)
A050622: 2 4 6 8 12 16 20 24 28 32 36 40 44 48 52 56
(if (x - 2) <= 0 then 1 else (((x - 2) * x) + 2))
A098749: 1 1 1 5 10 17 26 37 50 65 82 101 122 145 170 197
((loop(\(x,i).(x * x),2,(x * 2)) * x) * 2)
A016745: 0 32 1024 7776 32768 100000 248832 537824 1048576 1889568 3200000 5153632 7962624 11881376 17210368 24300000
(((x mod 2) - 1) mod loop(\(x,i).(x * 2),x,2))
A279872: 1 0 7 0 31 0 127 0 511 0 2047 0 8191 0 32767 0
loop(\(x,i).(((x * x) * x) * (x div 2)),x,2)
A174736: 2 8 2048 8796093022208 4611686018427387903
((1 - loop(\(x,i).((i - x) * x),2,x)) * 2)
A173785: 2 2 18 98 338 882 1922 3698 6498 10658 16562 24642 35378 49298 66978 89042
loop(\(x,i).(((i + 2) * x) * (i + 2)),x,2)
A123385: 2 18 288 7200 259200 12700800 812851200 65840947200 6584094720000 796675461120000 114721266401280000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) div (2 - (i mod 2))),x,2)
A068994: 2 4 8 64 2048
(loop(\(x,i).((i * i) + x),x,0) * (x + 2))
A289643: 0 3 20 70 180 385 728 1260 2040 3135 4620 6578 9100 12285 16240 21080
((if (x mod 2) <= 0 then (2 + 2) else 1) * (x + 2))
A144433: 8 3 16 5 24 7 32 9 40 11 48 13 56 15 64 17
((loop(\(x,i).(i * x),x,2) + 1) div (x + 2))
A126328: 1 1 1 2 8 34 180 1120 8064 65978 604800 6141046 68428800 830269440 10897286400 153844043294
(loop(\(x,i).((0 - x) * 2),x,1) mod (x + 2))
A213381: 1 1 0 2 4 3 0 7 6 5 4 6 8 13 0 8
((loop(\(x,i).(i * x),x,1) + 2) mod (x + 2))
A160540: 1 0 0 3
A249355: 1 0 0 3 2 3 2 2 2 3 2 3 2 2 2 3
(((if x <= 0 then 1 else (x * 2)) * 2) div (x + 2))
A163291: 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3
loop(\(x,i).((x div (2 + 2)) + x),2,(x + 2))
A296350: 2 3 6 7 8 10 12 13 15 16 18 20 21 22 25 26
(if (x - ((2 + 1) * 2)) <= 0 then x else (x + 2))
A103681-A039265-A039204: 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17
(if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2))
A329299-A039272-A039209-A023778: 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17
(if ((x div (2 + 2)) - 2) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A130574-A113191-A035064-A023780: 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17
(if (((x div 2) - 2) - 2) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A343951-A118766-A102487-A055569-A050759-A039274-A009993: 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17
(loop(\(x,i).((0 - x) * 2),x,x) mod (x + 2))
A110146: 0 1 0 1 4 1 0 4 8 1 4 1 12 4 0 1
(loop(\(x,i).((i * x) * 2),x,x) mod (x + 2))
A119690: 0 2 0 4 0 6 0 0 0 10 0 12 0 0 0 16
loop(\(x,i).((x mod (2 + 2)) * i),x,(x + 2))
A115562: 2 3 0 6 0 0 0 0 0 0
((if (x mod (2 + 1)) <= 0 then 1 else 0) + (x * 2))
A047236: 1 2 4 7 8 10 13 14 16 19 20 22 25 26 28 31
((if (x mod (2 + 2)) <= 0 then 1 else 0) + (x * 2))
A231408: 1 2 4 6 9
A047411: 1 2 4 6 9 10 12 14 17 18 20 22 25 26 28 30
((if ((x div 2) - 2) <= 0 then 1 else 0) + (x * 2))
A246407: 1 3 5 7 9 11 12 14 16 18 20 22 24 26 28 30
((if (x mod (2 + 2)) <= 0 then 0 else 1) + (x * 2))
A047485: 0 3 5 7 8 11 13 15 16 19 21 23 24 27 29 31
((if ((x div 2) - 2) <= 0 then 0 else 1) + (x * 2))
A246408-A246404: 0 2 4 6 8 10 13 15 17 19 21 23 25 27 29 31
((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x * 2))
A047254: 2 3 5 8 9 11 14 15 17 20 21 23 26 27 29 32
((if (x mod (2 + 2)) <= 0 then 2 else 1) + (x * 2))
A047487: 2 3 5 7 10 11 13 15 18 19 21 23 26 27 29 31
((if ((x div 2) - 2) <= 0 then 2 else 1) + (x * 2))
A285591: 2 4 6 8 10 12 13 15 17 19 21 23 25 27 29 31
((if (2 - x) <= 0 then (x - 2) else 1) + (x * 2))
A026488: 1 3 4 7 10 13 16 19 22 25 28 31 34 37 40 43
loop(\(x,i).((x * 2) * 2),x,(1 - (x * 2)))
A144704: 1 ~4 ~48 ~320 ~1792 ~9216 ~45056 ~212992 ~983040 ~4456448 ~19922944 ~88080384 ~385875968 ~1677721600 ~7247757312 ~31138512896
(loop(\(x,i).((x * 2) * 2),x,1) - (x * 2))
A100103: 1 2 12 58 248 1014 4084 16370 65520 262126 1048556 4194282 16777192 67108838 268435428 1073741794
(loop(\(x,i).((2 + 1) * x),x,1) - (x * 2))
A186948: 1 1 5 21 73 233 717 2173 6545 19665 59029 177125 531417 1594297 4782941 14348877
((if (x - (2 + 2)) <= 0 then 1 else 2) + (x * 2))
A246405: 1 3 5 7 9 12 14 16 18 20 22 24 26 28 30 32
((if ((x div 2) - 2) <= 0 then 1 else 2) + (x * 2))
A285590: 1 3 5 7 9 11 14 16 18 20 22 24 26 28 30 32
loop(\(x,i).((x * x) * x),(2 + 2),(x * 2))
A330009-A127352: 0 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - 1) <= 0 then x else ((x div 2) + (x * 2)))
A256680: 0 1 5 7 10 12 15 17 20 22 25 27 30 32 35 37
((if (x mod 2) <= 0 then (x * x) else 2) + (x * 2))
A066106: 0 4 8 8 24 12 48 16 80 20 120 24 168 28 224 32
loop(\(x,i).(((x * 2) * 2) + 1),x,(x * 2))
A072258: 0 9 69 405 2133 10581 50517 234837 1070421 4805973 21321045 93672789 408245589 1767200085 7605671253 32570168661
loop(\(x,i).((i + x) + (x - 1)),x,(x * 2))
A208658: 0 4 17 52 139 346 825 1912 4343 9718 21493 47092 102387 221170 475121 1015792
((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2))
A038810: 1 1 2 2 3 3 5 5 6 6 7 7 8 8 9 9
(loop(\(x,i).(i - x),(x - 1),2) * (x div 2))
A174474: 0 0 ~1 3 0 8 3 15 8 24 15 35 24 48 35 63
loop(\(x,i).(x - (x div (i + 2))),2,(x div 2))
A023967: 0 0 1 1 2 2 2 2 3 3 3 3 3 3 4 4
((if (x mod 2) <= 0 then 1 else (x + 2)) + (x div 2))
A064455: 1 3 2 6 3 9 4 12 5 15 6 18 7 21 8 24
((if (x mod 2) <= 0 then 1 else (x + 2)) - (x div 2))
A195084: 1 3 0 4 ~1 5 ~2 6 ~3 7 ~4 8 ~5 9 ~6 10
(((if (x mod 2) <= 0 then 2 else 0) + x) + (x div 2))
A166517: 2 1 5 4 8 7 11 10 14 13 17 16 20 19 23 22
loop(\(x,i).(x * 2),x,((1 - x) - (x div 2)))
A179609: 1 0 ~8 ~24 ~80 ~192 ~512 ~1152 ~2816 ~6144 ~14336 ~30720 ~69632 ~147456 ~327680 ~688128
((if (x - (2 + 1)) <= 0 then 2 else 1) - (x mod 2))
A275346: 2 1 2 1 1 0 1 0 1 0 1 0 1 0 1 0
(loop(\(x,i).(x * 2),x,(2 + 1)) + (x mod 2))
A280345: 3 7 12 25 48 97 192 385 768 1537 3072 6145 12288 24577 49152 98305
(loop(\(x,i).(x * 2),(x div 2),1) - (x mod 2))
A106624: 1 0 2 1 4 3 8 7 16 15 32 31 64 63 128 127
(loop(\(x,i).((x * 2) * 2),x,1) - (x mod 2))
A216149: 1 3 16
A267036: 1 3 16 63 256 1023 4096 16383 65536 262143 1048576 4194303 16777216 67108863 268435456 1073741823
loop(\(x,i).((x * 2) + 1),(x - 1),(x mod 2))
A140252: 0 1 1 7 7 31 31 127 127 511 511 2047 2047 8191 8191 32767
(2 - (if (x mod (2 + 1)) <= 0 then 2 else (x mod 2)))
A193680: 0 1 2 0 2 1 0 1 2 0 2 1 0 1 2 0
((if x <= 0 then 1 else ((x + 2) * 2)) - (x mod 2))
A100832: 1 5 8 9 12 13 16 17 20 21 24 25 28 29 32 33
loop(\(x,i).(x * 2),(x div 2),(2 - (x mod 2)))
A135530: 2 1 4 2 8 4 16 8 32 16 64 32 128 64 256 128
(loop(\(x,i).(x * x),x,2) div (2 - (x mod 2)))
A074073: 1 4 8 256 32768 4294967296 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) + 2),(x div 2),(x mod 2))
A065653: 0 1 2 3 6 11 38 123 1446 15131 2090918 228947163 4371938082726 52416803445748571 4611686018427387903 4611686018427387903
(((if (2 - x) <= 0 then 2 else 1) + x) + (x mod 2))
A265283: 1 3 4 6 6 8 8 10 10 12 12 14 14 16 16 18
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2)
A109808: 2 14 98 686 4802 33614 235298 1647086 11529602 80707214 564950498 3954653486 27682574402 193778020814 1356446145698 9495123019886
loop(\(x,i).((((i + 1) div 2) + 1) * x),x,2)
A152875: 2 4 8 24 72 288 1152 5760 28800 172800 1036800 7257600 50803200 406425600 3251404800 29262643200
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,2)
A006266: 2 14 2786 21624372014 4611686018427387903 4611686018427387903
(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2)
A108202-A025480: 0 0 1 0 2 1 3 0 4 2 5 1 6 3 7 0
loop(\(x,i).((((x * x) * 2) - 1) * x),x,2)
A106484: 2 14 5474 328053267374 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,2)
A198762: 2 14 74 374 1874 9374 46874 234374 1171874 5859374 29296874 146484374 732421874 3662109374 18310546874 91552734374
((loop(\(x,i).(x * 2),(x - 2),x) - x) * 2)
A052749: 0 0 0 6 24 70 180 434 1008 2286 5100 11242 24552 53222 114660 245730
(loop(\(x,i).((1 - x) * (x div 2)),x,x) mod 2)
A227768: 0 0 0 0 1 0 4611686018427387903
((loop(\(x,i).(i * x),(x div 2),x) + x) div 2)
A023785: 0 1 2 3 6 7 21
((loop(\(x,i).((x * x) * x),2,x) + x) div 2)
A168116: 0 1 257 9843 131074 976565 5038851 20176807 67108868 193710249 500000005 1178973851 2579890182 5302249693 10330523399 19221679695
(loop(\(x,i).(((i - x) * x) div 2),x,x) mod 2)
A172577: 0 0 0 0 0 1 4611686018427387903 4611686018427387903 4611686018427387903
((2 div (if x <= 0 then 2 else x)) + ((x * x) * 2))
A127081: 1 4 9 18 32
(1 mod loop(\(x,i).((x * x) * x),(x * x),2))
A255360: 1 1 4611686018427387903
(loop(\(x,i).(((x div 2) - 2) * x),x,x) mod 2)
A172564: 0 0 0 0 0 0 0 1 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),2,(x * x)) + x) div 2)
A168067: 0 1 129 3282 32770 195315 839811 2882404 8388612 21523365 50000005 107179446 214990854 407865367 737894535 1281445320
((loop(\(x,i).((x div 2) + x),x,x) - x) div 2)
A339655: 0 0 1 3 7 14 28
(loop(\(x,i).(((x - 1) * i) + x),x,x) div 2)
A317527: 0 0 3 24 180 1440 12600 120960 1270080 14515200 179625600 2395008000 34248614400 523069747200 8499883392000 146459529216000
(loop(\(x,i).(((x - 2) * i) + x),x,x) div 2)
A317483: 0 0 1 13 121 1081 10081 100801 1088641 12700801 159667201 2155507201 31135104001 479480601601 7846046208001 135998134272001
((if (x - ((2 + 1) * 2)) <= 0 then 1 else 0) + x)
A124808: 1 2 3 4 5 6 7 7 8 9 10 11 12 13 14 15
(if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x)
A004184: 0 1 2 3 4 5 6 7 8 0 10 11 12 13 14 15
((if ((x div (2 + 2)) - 2) <= 0 then 1 else 0) + x)
A071523: 1 2 3 4 5 6 7 8 9 10 11 12 12 13 14 15
((if (((x div 2) - 2) - 2) <= 0 then 1 else 0) + x)
A122262-A122256: 1 2 3 4 5 6 7 8 9 10 10 11 12 13 14 15
((if (x mod (2 + 1)) <= 0 then (2 + 1) else 0) + x)
A130509: 3 1 2 6 4 5 9 7 8 12 10 11 15 13 14 18
(if ((x * x) mod ((x + 2) + 1)) <= 0 then 0 else x)
A004181: 0 1 2 3 4 5 0 7 8 9 10 11 12 13 14 15
(loop(\(x,i).((i + x) + x),(x - 1),0) - x)
A070313: 0 ~1 ~1 1 7 21 51 113 239 493 1003 2025 4071 8165 16355 32737
(if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else x)
A308974: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 15
((if (x mod 2) <= 0 then ((x * 2) * 2) else 0) + x)
A195817: 0 1 10 3 20 5 30 7 40 9 50 11 60 13 70 15
(loop(\(x,i).((i * i) + (x * 2)),x,0) - x)
A229788: 0 0 4 18 54 136 312 678 1426 2940 5988 12106 24366 48912 98032 196302
((if (x mod 2) <= 0 then ((x div 2) + x) else 0) + x)
A195140: 0 1 5 3 10 5 15 7 20 9 25 11 30 13 35 15
(loop(\(x,i).i,((x div (2 + 1)) - 1),1) + x)
A133812: 1 2 3 4 5 6 7 8 9 11 12 13 15 16 17 19
(loop(\(x,i).i,(x - ((2 + 2) + 1)),1) + x)
A292621-A280693-A033059: 1 2 3 4 5 6 7 9 11 13 15 17 19 21 23 25
(loop(\(x,i).i,(x div ((2 + 2) + 1)),1) + x)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A245028-A233264-A198343-A074402: 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18
(loop(\(x,i).i,(((x div 2) - 2) - 1),1) + x)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A309129-A307345: 1 2 3 4 5 6 7 8 9 10 12 13 15 16 18 19
(loop(\(x,i).i,((x - 1) div (2 + 1)),1) + x)
A082463: 1 2 3 4 5 6 7 9 10
A342525-A325457: 1 2 3 4 5 6 7 9 10 11 13 14 15 17 18 19
((x mod 2) mod (if (x mod (2 + 1)) <= 0 then 1 else x))
A059781: 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0
(loop(\(x,i).((i + x) * x),(x - 1),1) + x)
A198864: 1 2 4 11 92 8101 65585702 4301483913318599 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * x) * x),(x - 1),1) * x)
A088679: 0 1 2 6 48 2880 9953280 115579079884800 4611686018427387903 4611686018427387903
(((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1) * x)
A109044: 0 3 6 3 12 15 6 21 24 9 30 33 12 39 42 15
(((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * x)
A102483: 0 1 2 3 4 15
((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) * x)
A317312: 0 1 12 3 24 5 36 7 48 9 60 11 72 13 84 15
(loop(\(x,i).i,(x - ((2 + 1) * 2)),1) + x)
A330729-A316115-A316114-A302834-A122936-A113768-A080750-A079645-A032958-A008726: 1 2 3 4 5 6 7 8 10 12 14 16 18 20 22 24
(loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A338883-A327749-A194424-A155182-A147820-A108864-A096076-A055722-A051038-A033892-A033637-A033620-A028830: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18
(loop(\(x,i).i,(((x - 1) div 2) div 2),1) + x)
A336547-A325097-A219361-A122156-A122154: 1 2 3 4 5 6 7 8 9 11 12 13 14 16 17 18
(if ((x - 1) mod ((2 + 2) * 2)) <= 0 then 1 else x)
A319657: 0 1 2 3 4 5 6 7 8 1 10 11 12 13 14 15
((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) * x)
A317316: 0 1 16 3 32 5 48 7 64 9 80 11 96 13 112 15
loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247796-A209685-A080463-A076314-A053837-A010888-A007953: 0 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6
((if (2 - x) <= 0 then ((2 + 2) * 2) else 1) + x)
A171893: 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23
(loop(\(x,i).i,(x - ((2 + 2) * 2)),1) + x)
A179052-A122618-A117804-A064223-A032960-A008728: 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 22
(1 div (if (x mod ((2 + 2) * 2)) <= 0 then 1 else x))
A010057: 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
(1 mod (if (x mod ((2 + 2) * 2)) <= 0 then 1 else x))
A104121: 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1
((loop(\(x,i).((x * x) * 2),2,2) - 1) * x)
A138127: 0 127 254 381 508 635 762 889 1016 1143 1270 1397 1524 1651 1778 1905
loop(\(x,i).(x * x),2,(((2 + 2) + 1) * x))
A016852: 0 625 10000 50625 160000 390625 810000 1500625 2560000 4100625 6250000 9150625 12960000 17850625 24010000 31640625
loop(\(x,i).(i + x),(x - ((2 + 2) + 1)),x)
A067570: 0 1 2 3 4 5 7
A272072: 0 1 2 3 4 5 7 10
A195944: 0 1 2 3 4 5 7 10 14
loop(\(x,i).(x - i),(x div ((2 + 2) + 1)),x)
A245335: 0 1 2 3 4 4 5 6 7 8 7 8 9 10 11 9
(1 div (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x))
A071036: 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1
((((if (2 - x) <= 0 then x else 2) + 2) + 1) * x)
A164004: 0 5 10 18 28 40 54 70 88 108 130 154 180 208 238 270
loop(\(x,i).(((x * x) * 2) - 1),(2 + 1),x)
A243134: 1 1 18817 665857 7380481 46099201 203253121 708158977 2081028097 5374978561 12545596801 26986755841 54276558337 103182433537 186979578241 325142092801
((loop(\(x,i).(x * 2),x,1) div (2 + 1)) + x)
A340849: 0 1 3 5 9 15 27 49 93 179 351 693 1377 2743 5475 10937
(loop(\(x,i).((x * x) + 2),2,(2 + 1)) * x)
A004965-A004945: 0 123 246 369 492 615 738 861 984 1107 1230 1353 1476 1599 1722 1845
loop(\(x,i).(((x + 1) * x) div 2),(2 + 1),x)
A064322: 0 1 21 231 1540 7260 26796 82621 222111 536130 1186570 2445366 4747821 8763391 15487395 26357430
((if x <= 0 then 1 else ((x div 2) div (2 + 1))) + x)
A247832: 1 1 2 3 4 5 7 8 9 10 11 12 14 15 16 17
loop(\(x,i).(x * x),(2 + 1),((2 + 1) * x))
A016772: 0 6561 1679616 43046721 429981696 2562890625 11019960576 37822859361 110075314176 282429536481 656100000000 1406408618241 2821109907456 5352009260481 9682651996416 16815125390625
loop(\(x,i).((x * x) * x),1,((2 + 1) * x))
A016767: 0 27 216 729 1728 3375 5832 9261 13824 19683 27000 35937 46656 59319 74088 91125
loop(\(x,i).((x * x) * x),2,((2 + 1) * x))
A016773: 0 19683 10077696 387420489 5159780352 38443359375 198359290368 794280046581 2641807540224 7625597484987 19683000000000 46411484401953 101559956668416 208728361158759 406671383849472
((if (x - 2) <= 0 then 1 else (x div (2 + 1))) + x)
A071959: 1 2 3 4 5 6 8 9 10 12 13 14 16 17 18 20
(if x <= 0 then 1 else (((x * x) + (2 + 1)) * x))
A079908: 1 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420
loop(\(x,i).((x * 2) * 2),((x * 2) + 1),x)
A239739: 0 64 2048 49152 1048576 20971520 402653184 7516192768 137438953472 2473901162496 43980465111040 774056185954304 13510798882111488 234187180623265792 4035225266123964416 4611686018427387903
(loop(\(x,i).(x * 2),x,((x * 2) + 1)) - x)
A271771: 1 5 18 53 140 347 826 1913 4344 9719 21494 47093 102388 221171 475122 1015793
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + x)
A226202: 1 10 83 732 6565 59054 531447 4782976 43046729 387420498 3486784411 31381059620 282429536493 2541865828342 22876792454975 205891132094664
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - x)
A024102: 1 8 79 726 6557 59044 531435 4782962 43046713 387420480 3486784391 31381059598 282429536469 2541865828316 22876792454947 205891132094634
(loop(\(x,i).(i * x),((x * x) * 2),1) + x)
A140656: 1 3 40322 6402373705728003 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) div 2) + 2),x,(1 - x))
A243299: 1 2 3 6 12 32
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) + x)
A226200: 1 7 38 219 1300 7781 46662 279943 1679624 10077705 60466186 362797067 2176782348 13060694029 78364164110 470184984591
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - x)
A024063: 1 5 34 213 1292 7771 46650 279929 1679608 10077687 60466166 362797045 2176782324 13060694003 78364164082 470184984561
(1 - (loop(\(x,i).((i * x) - 1),x,1) * x))
A007808: 1 1 3 13 69 431 3103 25341 231689 2345851 26065011 315386633 4128697741 58145826519 876660153671 14089181041141
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + x)
A226201: 1 9 66 515 4100 32773 262150 2097159 16777224 134217737 1073741834 8589934603 68719476748 549755813901 4398046511118 35184372088847
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - x)
A024089: 1 7 62 509 4092 32763 262138 2097145 16777208 134217719 1073741814 8589934581 68719476724 549755813875 4398046511090 35184372088817
((if (((x div 2) - 2) - 2) <= 0 then x else 1) + x)
A182324: 0 2 4 6 8 10 12 14 16 18 11 12 13 14 15 16
loop(\(x,i).(x * 2),(((x - 2) * x) + 1),x)
A197927: 0 1 4 48 2048 327680 201326592 481036337152 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * x) * x),2,x) + 1) * x)
A196292: 0 2 1026 59052 1048580 9765630 60466182 282475256 1073741832 3486784410 10000000010 25937424612 61917364236 137858491862 289254654990 576650390640
((loop(\(x,i).((x * x) * x),2,x) - 1) * x)
A196291: 0 0 1022 59046 1048572 9765620 60466170 282475242 1073741816 3486784392 9999999990 25937424590 61917364212 137858491836 289254654962 576650390610
loop(\(x,i).(((2 + 1) * x) + 2),(x + 1),x)
A060352: 2 17 80 323 1214 4373 15308 52487 177146 590489 1948616 6377291 20726198 66961565 215233604 688747535
((loop(\(x,i).(x * x),x,2) div (x + 1)) + x)
A201363: 2 3 7
A057736: 2 3 7 67
(loop(\(x,i).(x * 2),x,1) + ((x + 1) * x))
A131924: 1 4 10 20 36 62 106 184 328 602 1134 2180 4252 8374 16594 33008
(loop(\(x,i).(x * 2),x,1) - ((x + 1) * x))
A220588: 1 0 ~2 ~4 ~4 2 22 72 184 422 914 1916 3940 8010 16174 32528
loop(\(x,i).((x * x) * x),1,((x + 1) * x))
A060459: 0 8 216 1728 8000 27000 74088 175616 373248 729000 1331000 2299968 3796416 6028568 9261000 13824000
(loop(\(x,i).(i * x),x,1) + ((x + 1) * x))
A066143: 1 3 8 18 44 150 762 5096 40392 362970 3628910 39916932 479001756 6227020982 87178291410 1307674368240
((if (x mod 2) <= 0 then (x * x) else (x + 1)) + x)
A103831: 0 3 6 7 20 11 42 15 72 19 110 23 156 27 210 31
loop(\(x,i).(i - ((x - 1) div 2)),(x - 1),x)
A154392: 0 1 1 3 2 4 4 5 5 6 7 7 8 9 9 10
loop(\(x,i).(((x * 2) * 2) * 2),(x - 1),x)
A053539: 0 1 16 192 2048 20480 196608 1835008 16777216 150994944 1342177280 11811160064 103079215104 893353197568 7696581394432 65970697666560
loop(\(x,i).((i * x) * (2 + 2)),(x - 1),x)
A052570: 0 1 8 96 1536 30720 737280 20643840 660602880 23781703680 951268147200 41855798476800 2009078326886400 104472072998092800 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x - 2) * (x - 1)),x)
A217652: 0 1 2 12 256 20480 6291456 7516192768 35184372088832 648518346341351424 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),((x div 2) * (x - 1)),x)
A114045: 0 1 2 6 2880
loop(\(x,i).((x * 2) - (x mod 2)),(x - 1),x)
A005985: 0 1 4 9 32 65 192 385 1024 2049 5120 10241 24576 49153 114688 229377
(loop(\(x,i).((x - i) * x),2,(x - 1)) + x)
A001094: 0 1 2 3 28 125 366 847 1688 3033 5050 7931 11892 17173 24038 32775
loop(\(x,i).((x + 2) * 2),x,((x - 1) * x))
A196508: 0 4 20 76 252 764 2172 5884 15356 38908 96252 233468 557052 1310716 3047420 7012348
loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),x)
A053464: 0 1 10 75 500 3125 18750 109375 625000 3515625 19531250 107421875 585937500 3173828125 17089843750 91552734375
loop(\(x,i).(((i + 2) + 1) * x),(x - 1),x)
A005990: 0 1 8 60 480 4200 40320 423360 4838400 59875200 798336000 11416204800 174356582400 2833294464000 48819843072000 889218570240000
((x div ((2 + 2) * 2)) + (if x <= 0 then 1 else x))
A118065: 1 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16
((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x))
A257848-A218470-A143287: 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7
(x - ((x mod (2 + 2)) mod (if x <= 0 then 1 else x)))
A276334: 0 1 2 3 4 4 4 4 8 8 8 8 12 12 12 12
(2 - (((x div 2) + 2) div (if x <= 0 then 1 else x)))
A300403-A179076: 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + x)
A104745: 1 6 27 128 629 3130 15631 78132 390633 1953134 9765635 48828136 244140637 1220703138 6103515639 30517578140
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - x)
A024050: 1 4 23 122 621 3120 15619 78118 390617 1953116 9765615 48828114 244140613 1220703112 6103515611 30517578110
(loop(\(x,i).(((i mod 2) + x) * x),x,1) + x)
A117850: 1 3 6 23
((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) + x)
A082463: 1 2 3 4 5 6 7 9 10
A337052-A336592-A335275-A270428-A242094-A220218-A219227-A187947-A138302: 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x)
A336557-A335235-A318275-A279367-A277061-A274125-A254621-A243079-A239215-A229301-A229300-A227510-A209931-A190221-A173646-A167619-A129350-A102827-A090274-A083114-A070698-A069570-A067251-A052382-A052040-A032898-A032857-A020731-A020664: 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17
((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A322847-A302492-A256474-A252474-A180004-A113763-A088185-A085824-A011760: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17
((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A337843-A333501-A332111-A328869-A179308-A171987-A167520-A160542-A136002-A122260-A122254-A101947-A059543-A048737-A020753: 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17
loop(\(x,i).i,(x - (((2 + 2) + 1) * 2)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A053831: 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5
((loop(\(x,i).(x * 2),x,(2 + 1)) div 2) - x)
A179744: 1 2 4 9 20 43 90 185 376 759 1526 3061 6132 12275 24562 49137
loop(\(x,i).((((i + 2) + 2) * x) + 1),2,x)
A128471: 7 37 67 97 127 157 187 217 247 277 307 337 367 397 427 457
loop(\(x,i).(((2 + 2) * 2) * (x + 1)),2,x)
A157336: 72 136 200 264 328 392 456 520 584 648 712 776 840 904 968 1032
loop(\(x,i).(((2 + 2) * 2) div (x + 1)),2,x)
A053644: 0 1 2 2 4 4 4 4 8 8 8 8 8 8 8 8
loop(\(x,i).(((x * 2) * 2) * (x + 1)),2,x)
A322677: 0 288 2400 9408 25920 58080 113568 201600 332928 519840 776160 1117248 1560000 2122848 2825760 3690240
((if (x - 2) <= 0 then 1 else ((x - 1) * 2)) + x)
A051637: 1 2 3 7 10
loop(\(x,i).(((i + x) * x) div (i + 1)),2,x)
A006007: 0 1 5 16 40 85 161 280 456 705 1045 1496 2080 2821 3745 4880
(((((if x <= 0 then 1 else 2) + 1) * 2) * 2) + x)
A124159: 8 13 14 15
(loop(\(x,i).(((x + 2) * x) + 1),2,2) + x)
A135600: 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115
(loop(\(x,i).(((x + 2) * x) + 1),2,2) - x)
A096582: 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85
loop(\(x,i).(((x * x) * (x + 1)) div 2),2,x)
A329754: 0 1 126 3078 32800 213750 1008126 3783976 11985408 33297075 83338750 191592126 410450976 828497488 1589341950 2917620000
loop(\(x,i).((x div ((x mod 2) - 2)) - 2),2,x)
A225058: ~1 1 1 3 0 5 3 7 1 9 5 11 2 13 7 15
(2 div (if ((x div 2) mod (2 + 2)) <= 0 then 2 else x))
A025446: 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0
loop(\(x,i).(i + 1),(x - ((2 + 2) * 2)),x)
A245345: 0 1 2 3 4 5 6 7 8 2 3 4 5 6 7 8
loop(\(x,i).(x - 2),(x - ((2 + 2) * 2)),x)
A287793-A279319: 0 1 2 3 4 5 6 7 8 7 6 5 4 3 2 1
loop(\(x,i).(i * 2),(x - ((2 + 2) * 2)),x)
A043268: 0 1 2 3 4 5 6 7 8 2 4 6 8 10 12 14
(loop(\(x,i).((i + 1) * x),(2 + 2),2) + x)
A121378: 240 241 242 243 244 245 246 247 248 249
(loop(\(x,i).(x * x),((x * 2) * 2),2) + x)
A272137: 2 65537 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 2),(2 + 2),x)
A044712: 80 161 242 323 404 485 566 647 728 809 890 971 1052 1133 1214 1295
loop(\(x,i).(((x + 1) * x) div 2),(2 + 2),x)
A066370: 0 1 231 26796 1186570 26357430 359026206 3413156131 24666759216 143717956515 703974775735 2989908659661 11270904497931 38398515291136 119929709686710 347357071281165
(loop(\(x,i).((x + 1) * x),2,(2 + 2)) * x)
A169825: 0 420 840 1260 1680 2100 2520 2940 3360 3780 4200 4620 5040 5460 5880 6300
loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),x)
A169827: 0 840 1680 2520 3360 4200 5040 5880 6720 7560 8400 9240 10080 10920 11760 12600
((if ((2 - x) + 2) <= 0 then (x - 2) else 2) + x)
A120370: 2 3 4 5 6 8 10 12 14 16 18 20 22 24 26 28
(loop(\(x,i).((x + 1) * 2),(x * 2),2) - x)
A290721: 2 13 60 251 1018 4089 16376 65527 262134 1048565 4194292 16777203 67108850 268435441 1073741808 4294967279
(x - loop(\(x,i).(((1 - x) * x) div 2),2,x))
A088110: 0 1 3 9
A101357: 0 1 3 9 25 60 126 238 414 675 1045 1551 2223 3094 4200 5580
(loop(\(x,i).(x * x),((x * x) * 2),2) + x)
A279883: 2 17 4611686018427387903
(if x <= 0 then 1 else ((((x * x) div 2) + 2) * x))
A064705: 1 2 8 18 40
(loop(\(x,i).(2 - ((x * x) * x)),2,2) + x)
A121379: 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233
loop(\(x,i).((x * x) div ((i + x) + 2)),2,x)
A309689: 0 0 0 0 0 1 2 2 2 3 4 5 6 7 8 9
loop(\(x,i).((((i + x) * i) * x) div 2),2,x)
A061316: 0 3 15 48 120 255 483 840 1368 2115 3135 4488 6240 8463 11235 14640
loop(\(x,i).(((x * x) + (2 + 1)) * x),2,x)
A261574: 0 76 2786 46764 439204 2744420 12813606 48229636 153992264 432083484 1092730090 2537720636 5489037036 11179326964 21624372014 40001698260
loop(\(x,i).((i - ((x * x) + 1)) * x),2,x)
A218132: 0 0 504 19656 262080 1953000 10077480 40353264 134217216 387419760 999999000 2357946360 5159778624 10604497176 20661044040 38443356000
loop(\(x,i).(((x - i) div (2 + 2)) - x),2,x)
A340205: 0 0 1 1 2 2 3 4 4 4 5 6 7 7 7 8
loop(\(x,i).((x div ((i + 2) * 2)) + x),2,x)
A067570: 0 1 2 3 4 5 7
A191919: 0 1 2 3 4 5 7 9 10 11 12 13 15 16 18 19
loop(\(x,i).((((2 + 1) * x) - 2) * x),2,x)
A264892: 0 1 176 1281 4720 12545 27456 52801 92576 151425 234640 348161 498576 693121 939680 1246785
(loop(\(x,i).((x * x) - 1),2,(x + 2)) - x)
A269607: 8 62 222 572 1220 2298 3962 6392 9792 14390 20438 28212 38012 50162 65010 82928
(loop(\(x,i).((x - 1) * x),2,(x + 2)) * x)
A214944: 0 30 264 1140 3480 8610 18480 35784 64080 107910 172920 265980 395304 570570 803040 1105680
((if (x - 2) <= 0 then (x div 2) else (x + 2)) + x)
A067569: 0 1 3 8 10
(loop(\(x,i).(x * 2),x,1) + ((x + 2) * x))
A220425: 1 5 12 23 40 67 112 191 336 611 1144 2191 4264 8387 16608 33023
(loop(\(x,i).(x * 2),x,1) - ((x + 2) * x))
A176778: 1 ~1 ~4 ~7 ~8 ~3 16 65 176 413 904 1905 3928 7997 16160 32513
loop(\(x,i).((x * 2) * (i + 1)),(x - 2),x)
A052564: 0 1 2 12 96 960 11520 161280 2580480 46448640 928972800 20437401600 490497638400 12752938598400 357082280755200 10712468422656000
loop(\(x,i).(((i * x) div 2) * 2),(x - 2),x)
A098557: 0 1 2 2 8 24 144 720 5760 40320 403200 3628800 43545600 479001600 6706022400 87178291200
(loop(\(x,i).((x - i) * x),2,(x - 2)) * x)
A052787: 0 0 0 0 0 120 720 2520 6720 15120 30240 55440 95040 154440 240240 360360
(loop(\(x,i).(x * 2),x,1) - ((x - 2) * x))
A176776: 1 3 4 5 8 17 40 93 208 449 944 1949 3976 8049 16216 32573
(loop(\(x,i).((x * 2) - 1),x,(x * 2)) - x)
A059673: 0 2 11 38 109 284 699 1658 3833 8696 19447 42998 94197 204788 442355 950258
loop(\(x,i).(((x div 2) + i) div 2),(x div 2),x)
A265370: 0 1 1 1 1 1 1 1 2 2 3 3 3 3 4 4
loop(\(x,i).(((x * x) * x) * (x * x)),2,x)
A010813: 0 1 33554432 847288609443 1125899906842624 298023223876953125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((x div (i + 1)) * i)),2,x)
A332380: 0 1 1 2 2 1 1 2 2 3 3 2 2 3 3 4
((if (((x div 2) - 2) - 2) <= 0 then 1 else x) * x)
A103303: 0 1 2 3 4 5 6 7 8 9
A135295: 0 1 2 3 4 5 6 7 8 9 100 121 144 169 196 225
(((if (x mod 2) <= 0 then (2 + 2) else 1) * x) * x)
A154615: 0 1 16 9 64 25 144 49 256 81 400 121 576 169 784 225
((if ((x div 2) - 2) <= 0 then (2 + 1) else x) + x)
A154660: 3 4 5 6 7 8
A277641: 3 4 5 6 7 8 12
((loop(\(x,i).(x * x),2,(2 + 1)) * x) * x)
A017162: 0 81 324 729 1296 2025 2916 3969 5184 6561 8100 9801 11664 13689 15876 18225
(loop(\(x,i).((x * x) * x),(2 + 1),x) * x)
A122969: 0 1 268435456 22876792454961 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - loop(\(x,i).(x div ((x mod 2) + 1)),x,x))
A331739: 0 1 0 3 0 3 0 7 0 5 0 9 0 7 0 15
loop(\(x,i).(x - (x div ((i * 2) + 1))),x,x)
A089576: 0 1 2 2 3 4 4 4 5 5 6 6 6 7 7 7
(loop(\(x,i).((x * 2) * 2),(x - 1),x) * x)
A086952: 0 1 16 144 1024 6400 36864 200704 1048576 5308416 26214400 126877696 603979776 2835349504 13153337344 60397977600
(loop(\(x,i).((i + 2) * x),(x - 1),x) - x)
A213168: 0 0 4 33 236 1795 15114 141113 1451512 16329591 199583990 2634508789 37362124788 566658892787 9153720575986 156920924159985
(loop(\(x,i).((i * i) * x),(2 + 2),x) * x)
A325475: 0 576 2304 5184 9216 14400 20736 28224 36864 46656 57600 69696 82944 97344 112896 129600
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,x)
A126431: 0 10 200 3000 40000 500000 6000000 70000000 800000000 9000000000 100000000000 1100000000000 12000000000000 130000000000000 1400000000000000 15000000000000000
(loop(\(x,i).((2 + 1) * x),(x * 2),x) * x)
A128788: 0 9 324 6561 104976 1476225 19131876 234365481 2754990144 31381059609 348678440100 3797108212689 40669853253264 429575324987601 4483851321172356 46325504721296025
(1 - (loop(\(x,i).((x * x) * x),2,x) * x))
A024008: 1 0 ~1023 ~59048 ~1048575 ~9765624 ~60466175 ~282475248 ~1073741823 ~3486784400 ~9999999999 ~25937424600 ~61917364223 ~137858491848 ~289254654975 ~576650390624
(loop(\(x,i).((x * 2) * 2),x,1) - (x * x))
A024038: 1 3 12 55 240 999 4060 16335 65472 262063 1048476 4194183 16777072 67108695 268435260 1073741599
(loop(\(x,i).(x * x),2,(x + 1)) - (x * x))
A257925: 1 15 77 247 609 1271 2365 4047 6497 9919 14541 20615 28417 38247 50429 65311
(loop(\(x,i).((2 + 1) * x),x,1) + (x * x))
A251701: 1 4 13 36 97 268 765 2236 6625 19764 59149 177268 531585 1594492 4783165 14349132
(loop(\(x,i).((2 + 1) * x),x,1) - (x * x))
A024025: 1 2 5 18 65 218 693 2138 6497 19602 58949 177026 531297 1594154 4782773 14348682
loop(\(x,i).(x * 2),((x * x) - 1),(x * x))
A185968: 0 1 32 2304 524288 419430400 1236950581248 13792273858822144 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod (2 + 2)) <= 0 then 0 else 2) + (x * x))
A277023: 0 3 6 11 16 27 38 51 64 83 102 123 144 171 198 227
(if x <= 0 then 1 else (((x + 2) + 2) * (x * x)))
A112613: 1 5 24
loop(\(x,i).((x - (i - 1)) * x),2,(x * x))
A218131: 0 0 240 6480 65280 390000 1678320 5762400 16773120 43040160 99990000 214344240 429960960 815702160 1475750640 2562840000
loop(\(x,i).((x * 2) * (2 + 1)),x,(x * x))
A128785: 0 6 144 1944 20736 194400 1679616 13716864 107495424 816293376 6046617600 43898443776 313456656384 2207257288704 15359376162816 105791621529600
loop(\(x,i).(((x * 2) * 2) * 2),x,(x * x))
A128787: 0 8 256 4608 65536 819200 9437184 102760448 1073741824 10871635968 107374182400 1039382085632 9895604649984 92908732547072 862017116176384 7916483719987200
loop(\(x,i).(x div (2 - (x mod 2))),x,(x * x))
A191871: 0 1 1 9 1 25 9 49 1 81 25 121 9 169 49 225
(loop(\(x,i).((x * x) * x),2,x) * (x * x))
A008455: 0 1 2048 177147 4194304 48828125 362797056 1977326743 8589934592 31381059609 100000000000 285311670611 743008370688 1792160394037 4049565169664 8649755859375
loop(\(x,i).(((2 + 2) + 1) * x),x,(x * x))
A128784: 0 5 100 1125 10000 78125 562500 3828125 25000000 158203125 976562500 5908203125 35156250000 206298828125 1196289062500 6866455078125
loop(\(x,i).(((i * 2) - 1) * x),x,(x * x))
A161124: 0 1 12 135 1680 23625 374220 6621615 129729600 2791213425 65472907500 1663666579575 45537716624400 1336089255125625 41837777148667500 1392813754566609375
((if (x mod 2) <= 0 then (1 - x) else x) + (x * x))
A081347: 1 2 3 12 13 30 31 56 57 90 91 132 133 182 183 240
(loop(\(x,i).((x * 2) * 2),x,x) * (x * x))
A128790: 0 4 128 1728 16384 128000 884736 5619712 33554432 191102976 1048576000 5582618624 28991029248 147438174208 736586891264 3623878656000
loop(\(x,i).(i * x),x,((x * x) * (x * x)))
A091364: 0 1 32 486 6144 75000 933120 12101040 165150720 2380855680 36288000000 584421868800 9932577177600 177849941068800 3349041234739200 66201014880000000
(loop(\(x,i).((2 + 1) * x),x,x) * (x * x))
A062074: 0 3 72 729 5184 30375 157464 750141 3359232 14348907 59049000 235782657 918330048 3502727631 13124466936 48427561125
loop(\(x,i).(((i * i) * i) + x),x,(x * x))
A117717: 0 2 13 45 116 250 477 833 1360 2106 3125 4477 6228 8450 11221 14625
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,x)
A036293: 0 7 98 1029 9604 84035 705894 5764801 46118408 363182463 2824752490 21750594173 166095446412 1259557135291 9495123019886 71213422649145
loop(\(x,i).(((i * i) * (2 + 2)) + x),x,x)
A050533: 0 5 22 59 124 225 370 567 824 1149 1550 2035 2612 3289 4074 4975
(loop(\(x,i).(x * x),((x - 2) * x),x) * x)
A053015: 0 1 4 19683 4611686018427387903
((if (x mod 2) <= 0 then (x + 1) else (x * x)) + x)
A103832: 1 2 5 12 9 30 13 56 17 90 21 132 25 182 29 240
(loop(\(x,i).((x * x) * x),2,(x * x)) * x)
A010807: 0 1 524288 1162261467 274877906944 19073486328125 609359740010496 11398895185373143 144115188075855872 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),((x * x) * x))
A010812: 0 1 16777216 282429536481 281474976710656 59604644775390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) + ((x * x) * x))
A097339: 1 3 12 35 80 157 280 471 768 1241 2024 3379 5824 10389 19128 36143
(loop(\(x,i).(x * 2),x,1) - ((x * x) * x))
A024013: 1 1 ~4 ~19 ~48 ~93 ~152 ~215 ~256 ~217 24 717 2368 5995 13640 29393
(loop(\(x,i).(i * x),x,1) - ((x * x) * x))
A007339: 1 0 ~6 ~21 ~40 ~5 504 4697 39808 362151 3627800 39915469 478999872 6227018603 87178288456 1307674364625
(1 - loop(\(x,i).(x * x),2,((x * x) * x)))
A024010: 1 0 ~4095 ~531440 ~16777215 ~244140624 ~2176782335 ~13841287200 ~68719476735 ~282429536480 ~999999999999 ~3138428376720 ~8916100448255 ~23298085122480 ~56693912375295 ~129746337890624
(loop(\(x,i).(x * x),2,((x * x) * x)) * x)
A010801: 0 1 8192 1594323 67108864 1220703125 13060694016 96889010407 549755813888 2541865828329 10000000000000 34522712143931 106993205379072 302875106592253 793714773254144 1946195068359375
loop(\(x,i).(((x * x) * x) * (x * x)),x,x)
A323661: 0 1 33554432 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * i) + 2) * i) + x),x,x)
A334694: 0 4 17 51 124 260 489 847 1376 2124 3145 4499 6252 8476 11249 14655
((x div (((x + 2) div (2 + 1)) + 1)) + 1)
A272314: 1 1 2 2 2 2 3 2 3 3 3 3 3 3 3 3
(x - (((x div 2) div ((0 - 2) - 1)) - 1))
A188397-A057904: 1 2 4 5 6 7 8 9 11 12 13 14 15 16 18 19
(((x + 2) - (x div ((0 - 2) - 1))) + 1)
A335740: 3 5 6 7 9 10 11 13 14 15 17 18 19 21 22 23
(((x * 2) - (x div ((0 - 2) - 1))) + 1)
A231407: 1 4 6
A225002-A047290: 1 4 6 8 11 13 15 18 20 22 25 27 29 32 34 36
(x - ((x div ((x div (0 - 2)) - 1)) - 1))
A072442: 1 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18
(((x + 1) div (((2 + 1) * 2) + 1)) + 1)
A295866: 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3
(((x - 2) div (((2 + 1) * 2) + 1)) + 1)
A003074: 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2
(((x div 2) div (((2 + 1) * 2) + 1)) - 1)
A286707: ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 0 0
((x mod ((((2 + 2) * 2) * 2) - 1)) + 1)
A053165-A002377: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1
(((x - 1) div (((2 + 2) * 2) + 1)) + 1)
A191228-A111891-A004218: 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2
(((x * 2) mod (((2 + 2) * 2) + 1)) + 1)
A131669: 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4
((x mod ((x div ((2 + 2) * 2)) + 1)) + 1)
A338652-A140195: 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2
((x div (((x div (2 + 2)) + 2) + 1)) + 1)
A204164-A055980-A052374-A052364: 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3
((x mod (((x - 1) mod (2 + 2)) + 1)) + 1)
A085476: 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1
((((x * 2) + 1) * ((2 + 2) + 1)) + 1)
A017341: 6 16 26 36 46 56 66 76 86 96 106 116 126 136 146 156
((((x * 2) + 1) div ((2 + 2) + 1)) + 1)
A100719: 1 1 2 2 2 3 3 4 4 4 5 5 6 6 6 7
((((x div 2) + 1) * ((2 + 2) + 1)) - 1)
A168280: 4 4 9 9 14 14 19 19 24 24 29 29 34 34 39 39
((((x div 2) - 1) div ((2 + 2) + 1)) + 1)
A185712: 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2
(x - (((x + 1) div ((2 + 2) + 1)) - 1))
A120507-A003004: 1 2 3 4 4 5 6 7 8 8 9 10 11 12 12 13
((((x * x) + 1) mod ((2 + 2) + 1)) - 1)
A080891: 0 1 ~1 ~1 1 0 1 ~1 ~1 1 0 1 ~1 ~1 1 0
((((x * x) - 1) div ((2 + 2) + 1)) + 1)
A036404: 0 1 1 2 4 5 8 10 13 17 20 25 29 34 40 45
((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)
A010868: 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29
((((x + 1) * 2) * ((2 + 2) + 1)) - 1)
A017377: 9 19 29 39 49 59 69 79 89 99 109 119 129 139 149 159
((((x + 1) * 2) div ((2 + 2) + 1)) + 1)
A248515-A194986-A054071: 1 1 2 2 3 3 3 4 4 5 5 5 6 6 7 7
((((x + 1) div 2) * ((2 + 2) + 1)) + 1)
A168282: 1 6 6 11 11 16 16 21 21 26 26 31 31 36 36 41
((((x - 1) * 2) div ((2 + 2) + 1)) + 1)
A029865: 0 1 1 1 2 2 3 3 3 4 4
((((x - 1) div 2) div ((2 + 2) + 1)) + 1)
A330634-A055640-A035931: 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2
((((x + 2) * 2) div ((2 + 2) + 1)) + 1)
A214046: 1 2 2 3 3 3 4 4 5 5 5 6 6 7 7 7
((((x * 2) * 2) * ((2 + 2) + 1)) + 1)
A215145: 1 21 41 61 81 101 121 141 161 181 201 221 241 261 281 301
((((x mod 2) * 2) * ((2 + 2) + 1)) + 1)
A266327: 1 11 1 11 1 11 1 11 1 11 1 11 1 11 1 11
((((2 - x) div 2) div ((2 + 2) + 1)) + 1)
A014048: 1 1 1 0 0 0 0 0 0 0 0 0 0 ~1 ~1 ~1
(x mod (((x + 2) div ((2 + 2) + 1)) + 1))
A055087-A025685-A022333: 0 0 0 1 0 1 0 1 2 0 1 2 0 1 2 3
(x - (((x + 2) div ((2 + 2) + 1)) - 1))
A138467: 1 2 3 3 4 5 6 7 7 8 9 10 11 11 12 13
((((x * x) * 2) * ((2 + 2) + 1)) + 1)
A158187: 1 11 41 91 161 251 361 491 641 811 1001 1211 1441 1691 1961 2251
((((2 + 1) * x) div ((2 + 2) + 1)) + 1)
A256502-A210434-A064542: 1 1 2 2 3 4 4 5 5 6 7 7 8 8 9 10
(x - (((1 - x) div ((2 + 2) + 1)) - 1))
A180917: 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18 19
((((x + 1) * x) * ((2 + 2) + 1)) + 1)
A062786: 1 11 31 61 101 151 211 281 361 451 551 661 781 911 1051 1201
(x - (((2 - x) div ((2 + 2) + 1)) - 1))
A184526: 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18 19
((((x + 2) * x) * ((2 + 2) + 1)) + 1)
A134593: 1 16 41 76 121 176 241 316 401 496 601 716 841 976 1121 1276
((((x div 2) + x) * ((2 + 2) + 1)) + 1)
A087446: 1 6 16 21 31 36 46 51 61 66 76 81 91 96 106 111
((((x div 2) + x) div ((2 + 2) + 1)) + 1)
A137214-A034887: 1 1 1 1 2 2 2 3 3 3 4 4 4 4 5 5
((((x mod 2) + x) * ((2 + 2) + 1)) + 1)
A168459: 1 11 11 21 21 31 31 41 41 51 51 61 61 71 71 81
(((x * 2) - (x div ((2 + 2) + 1))) + 1)
A108598: 1 3 5 7 9 10 12 14 16 18 19 21 23 25 27 28
((0 - 2) mod ((x div ((2 + 2) + 1)) + 1))
A210715: 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2
(2 - (2 div ((x div ((2 + 2) + 1)) + 1)))
A105515: 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2
(((x * 2) - (x mod ((2 + 2) + 1))) + 1)
A084545: 1 2 3 4 5 11 12 13 14 15 21 22 23 24 25 31
((0 - 2) mod ((x mod ((2 + 2) + 1)) + 1))
A021817: 0 0 1 2 3 0 0 1 2 3 0 0 1 2 3 0
(((x + 1) mod ((x div (2 + 2)) + 1)) + 1)
A266476: 1 1 1 1 2 1 2 1 1 2 3 1 2 3 4 1
((2 - (2 div ((x div (2 + 2)) + 1))) + 1)
A124156: 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3
(((x * x) div (((x + 2) + 2) + 1)) + 1)
A182220: 1 1 1 2 2 3 4 5 5 6 7 8 9 10 11 12
(((x - 1) div (((x div 2) + 2) + 1)) + 1)
A211669: 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2
((2 mod ((x mod ((x mod 2) + 2)) + 1)) + 1)
A272334-A014491: 1 1 1 1 1 3 1 1 1 1 1 3 1 1 1 1
((((x * 2) * (2 + 1)) * (2 + 1)) + 1)
A161705: 1 19 37 55 73 91 109 127 145 163 181 199 217 235 253 271
((((x * 2) div (2 + 1)) * (2 + 1)) + 1)
A168074-A061891: 1 1 4 7 7 10 13 13 16 19 19 22 25 25 28 31
((((x * 2) mod (2 + 1)) * (2 + 1)) + 1)
A070403: 1 7 4 1 7 4 1 7 4 1 7 4 1 7 4 1
((((x * x) * (2 + 1)) * (2 + 1)) + 1)
A247792: 1 10 37 82 145 226 325 442 577 730 901 1090 1297 1522 1765 2026
(((x mod ((x div 2) + 1)) div (2 + 1)) + 1)
A004052: 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3
(((((x + 1) * x) + 1) div (2 + 1)) + 1)
A096777: 1 2 3 5 8 11 15 20 25 31 38 45 53 62 71 81
(((((x + 2) * x) + 1) div (2 + 1)) + 1)
A231408: 1 2 4 6 9
A087483: 1 2 4 6 9 13 17 22 28 34 41 49 57 66 76 86
(((((x div 2) + x) + 1) * (2 + 1)) + 1)
A125758: 4 7 13 16 22 25 31 34 40 43 49 52 58 61 67 70
((((2 + 2) * (x + 1)) * (2 + 1)) - 1)
A017653: 11 23 35 47 59 71 83 95 107 119 131 143 155 167 179 191
((((x * 2) * (x + 1)) * (2 + 1)) + 1)
A003154: 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441
(((x * 2) - ((x + 1) mod (2 + 1))) + 1)
A047266: 0 1 5 6 7 11 12 13 17 18 19 23 24 25 29 30
(1 - (x mod (((x + 1) mod (2 + 1)) + 1)))
A286726: 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0
((((x * 2) * (x - 1)) * (2 + 1)) - 1)
A103115: ~1 ~1 11 35 71 119 179 251 335 431 539 659 791 935 1091 1259
((x + 1) mod (((x - 1) mod (2 + 1)) + 1))
A082960: 1 0 1 1 0 0 1 0 1
A141212: 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1
((2 + 2) div (((x - 1) mod (2 + 1)) + 1))
A153727: 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2 1
((x - 2) mod (((x - 1) mod (2 + 1)) + 1))
A317961: 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1
((x div 2) mod (((x - 1) mod (2 + 1)) + 1))
A287382: 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1
(x - ((x div ((0 - 2) * (2 + 1))) - 1))
A057903: 1 3 4 5 6 7 8 10 11 12 13 14 15 17 18 19
(((x - (x div (0 - 2))) * (2 + 1)) + 1)
A301451: 1 7 10 16 19 25 28 34 37 43 46 52 55 61 64 70
(x - ((((2 + 1) * 2) * (2 + 1)) + 1))
A023461: ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6 ~5 ~4
(((((x * 2) + 1) * 2) * (2 + 1)) + 1)
A017605: 7 19 31 43 55 67 79 91 103 115 127 139 151 163 175 187
(((((x * 2) + 1) * 2) * (2 + 1)) - 1)
A017581: 5 17 29 41 53 65 77 89 101 113 125 137 149 161 173 185
(((((x div 2) + 1) * 2) * (2 + 1)) - 1)
A168300: 5 5 11 11 17 17 23 23 29 29 35 35 41 41 47 47
(x mod ((((x + 1) div 2) div (2 + 1)) + 1))
A334872-A322823: 0 0 0 0 0 1 0 1 0 1 0 2 0 1 2 0
(x - ((((x + 1) div 2) div (2 + 1)) - 1))
A256562-A228297: 1 2 3 4 5 5 6 7 8 9 10 10 11 12 13 14
(((((x - 1) div 2) div 2) div (2 + 1)) + 1)
A074802: 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2
(x - ((((2 + 2) * 2) * (2 + 1)) + 1))
A023467: ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10
(x - ((((2 + 2) * 2) * (2 + 1)) - 1))
A023465: ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8
(((((x * 2) * 2) * 2) * (2 + 1)) + 1)
A216869: 1 25 49
A103214: 1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361
(((((x * 2) * 2) * 2) * (2 + 1)) - 1)
A183010: ~1 23 47 71 95 119 143 167 191 215 239 263 287 311 335 359
(((((x * 2) * 2) * 2) div (2 + 1)) + 1)
A047400: 1 3 6 9 11 14 17 19 22 25 27 30 33 35 38 41
((x * x) div (((2 + 2) * (2 + 1)) + 1))
A011865: 0 0 0 0 1 1 2 3 4 6 7 9 11 13 15 17
((x * x) mod (((2 + 2) * (2 + 1)) + 1))
A070436: 0 1 4 9 3 12 10 10 12 3 9 4 1 0 1 4
((x + 1) mod (((2 + 2) * (2 + 1)) - 1))
A275010-A090175: 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5
((x * x) mod (((2 + 2) * (2 + 1)) - 1))
A070434: 0 1 4 9 5 3 3 5 9 4 1 0 1 4 9 5
(x - (((x div (2 + 2)) * (2 + 1)) - 1))
A173524: 1 2 3 4 2 3 4 5 3 4 5 6 4 5 6 7
((((x * x) * (2 + 2)) * (2 + 1)) + 1)
A158480: 1 13 49 109 193 301 433 589 769 973 1201 1453 1729 2029 2353 2701
((((x * x) * (2 + 2)) * (2 + 1)) - 1)
A158463: ~1 11 47 107 191 299 431 587 767 971 1199 1451 1727 2027 2351 2699
(((x - ((x mod 2) * 2)) div (2 + 1)) + 1)
A341307: 1 0 1 1 2 2 3 2 3 3 4 4 5 4 5 5
(((((2 + 1) * x) + 2) * (2 + 1)) + 1)
A017245: 7 16 25 34 43 52 61 70 79 88 97 106 115 124 133 142
(((((2 + 1) * x) + 2) * (2 + 1)) - 1)
A017221: 5 14 23 32 41 50 59 68 77 86 95 104 113 122 131 140
(((((x + 1) * x) div 2) * (2 + 1)) + 1)
A005448: 1 4 10 19 31 46 64 85 109 136 166 199 235 274 316 361
(((((x + 1) * x) div 2) div (2 + 1)) + 1)
A008748: 1 1 2 3 4 6 8 10 13 16 19 23 27 31 36 41
(x - ((((2 - x) div 2) div (2 + 1)) - 1))
A057905: 1 2 3 5 6 7 8 9 10 12 13 14 15 16 17 19
(((((x + 2) * x) div 2) div (2 + 1)) + 1)
A008747: 1 1 2 3 5 6 9 11 14 17 21 24 29 33 38 43
(((((x + 2) * x) div 2) mod (2 + 1)) + 1)
A083039: 1 2 2 2 1 3 1 2 2 2 1 3 1 2 2 2
(((((x div 2) + x) + 2) * (2 + 1)) - 1)
A253195: 5 8 14 17 23 26 32 35 41 44 50 53 59 62 68 71
(x - (((1 - (x div 2)) div (2 + 1)) - 1))
A057906: 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17 18
(((x * 2) - ((x div 2) div (2 + 1))) + 1)
A094391: 1 3 5 7 9 11 12 14 16 18 20 22 23 25 27 29
((((x * 2) - (x mod 2)) * (2 + 1)) + 1)
A228137: 1 4 13 16 25 28 37 40 49 52 61 64 73 76 85 88
((((x mod (2 + 1)) * x) div (2 + 1)) + 1)
A270743: 1 1 2 1 2 4 1 3 6 1 4 8 1 5 10 1
(((((x + 2) + 1) * x) * (2 + 1)) + 1)
A166143: 1 13 31 55 85 121 163 211 265 325 391 463 541 625 715 811
(((((x * 2) + 1) * x) * (2 + 1)) + 1)
A085473: 1 10 31 64 109 166 235 316 409 514 631 760 901 1054 1219 1396
(((x * 2) - ((1 - x) div (2 + 1))) + 1)
A304497-A047282: 1 3 6 8 10 13 15 17 20 22 24 27 29 31 34 36
((((2 mod (x + 1)) + x) div (2 + 1)) + 1)
A110867: 1 1 2 2 3 3 3 4 4 4 5 5 5
(x - ((((x + 1) * x) mod (2 + 1)) - 1))
A061800: 1 0 3 4 3 6 7 6 9 10 9 12 13 12 15 16
((((x div (2 + 2)) + x) div (2 + 1)) + 1)
A231149: 1 1 1 2 2 3 3 3 4 4 5 5 6 6 6 7
(x - (2 mod (((2 - x) div (2 + 1)) - 1)))
A067570: 0 1 2 3 4 5 7
A107750: 0 1 2 3 4 5 7 8 9 11 12 13 15 16 17 19
((2 + 2) div (((2 - x) mod (2 + 1)) + 1))
A069705: 1 2 4 1 2 4 1 2 4 1 2 4 1 2 4 1
(x - ((((x mod 2) + x) div (2 + 1)) - 1))
A257063: 1 2 3 3 4 4 5 6 7 7 8 8 9 10 11 11
(x - ((((x mod 2) - x) * (2 + 1)) - 1))
A047468: 1 2 9 10 17 18 25 26 33 34 41 42 49 50 57 58
(x - ((((x mod 2) - x) div (2 + 1)) - 1))
A026367: 1 2 4 5 7 8 9 10 12 13 15 16 17 18 20 21
(((((x * x) + 2) * x) div (2 + 1)) + 1)
A116731: 1 2 5 12 25 46 77 120 177 250 341 452 585 742 925 1136
(((2 + 1) * x) - ((x div (2 + 1)) - 1))
A047537: 1 4 7 9 12 15 17 20 23 25 28 31 33 36 39 41
((((2 + 1) * x) + (x div (2 + 1))) + 1)
A078309: 1 4 7 11 14 17 21 24 27 31 34 37 41 44 47 51
(((x div (2 + 1)) - (x mod (2 + 1))) + 1)
A063942: 1 0 ~1 2 1 0 3 2 1 4 3 2 5 4 3 6
((((x + 1) * 2) - (x mod (2 + 1))) + 1)
A327257-A047249: 3 4 5 9 10 11 15 16 17 21 22 23 27 28 29 33
(((x + 2) + 1) div ((x mod (2 + 1)) + 1))
A323417: 3 2 1 6 3 2
((x div ((((x div 2) * x) mod 2) + 1)) + 1)
A186646: 1 2 3 2 5 6 7 4 9 10 11 6 13 14 15 8
((((x + 1) * 2) * ((x + 2) + 1)) - 1)
A268581: 5 15 29 47 69 95 125 159 197 239 285 335 389 447 509 575
((((x * 2) * 2) * ((x + 2) + 1)) + 1)
A152817: 1 17 41
A166147: 1 17 41 73 113 161 217 281 353 433 521 617 721 833 953 1081
((((x div 2) + 2) * ((x + 2) + 1)) + 1)
A249333: 7 9 16 19 29 33 46 51 67 73 92 99 121 129 154 163
((((x + 1) * 2) * ((x * 2) + 1)) - 1)
A082108: 1 11 29 55 89 131 181 239 305 379 461 551 649 755 869 991
((((x + 1) div 2) * ((x * 2) + 1)) + 1)
A231407: 1 4 6
A266883: 1 4 6 15 19 34 40 61 69 96 106 139 151 190 204 249
((((x * 2) * 2) * ((x * 2) + 1)) + 1)
A102083: 1 13 41 85 145 221 313 421 545 685 841 1013 1201 1405 1625 1861
((((2 - x) + 2) mod ((x * 2) + 1)) + 1)
A077756: 1 1 3 2 1 11
((((x mod 2) + x) * ((x * 2) + 1)) + 1)
A193867: 1 7 11 29 37 67 79 121 137 191 211 277 301 379 407 497
((((x * 2) * 2) * ((x * 2) - 1)) + 1)
A080856: 1 5 25 61 113 181 265 365 481 613 761 925 1105 1301 1513 1741
((((x + 1) div 2) * ((x div 2) + 1)) + 1)
A193622: 1 2 3 5 7 10
A025700: 1 2 3 5 7 10 13 17 21 26 31 37 43 50 57 65
((((2 + 2) * 2) * ((x div 2) + 1)) - 1)
A168379: 7 7 15 15 23 23 31 31 39 39 47 47 55 55 63 63
(((x + 1) mod ((2 - (x mod 2)) + 1)) + 1)
A175307: 2 1 1 1 3 1 2 1 1 1 3 1 2 1 1 1
(x mod ((x mod ((2 - (x mod 2)) + 1)) + 1))
A159195: 0 1 2 1 0 1 0 1 2 1 0 1 0 1 2 1
((((2 + 1) * x) div ((x mod 2) + 1)) + 1)
A165355: 1 2 7 5 13 8 19 11 25 14 31 17 37 20 43 23
((((x + 2) * x) * ((x mod 2) + 1)) + 1)
A309199: 1 7 9 31 25 71 49 127 81 199 121 287 169 391 225 511
((((x div 2) + x) * ((x mod 2) + 1)) + 1)
A285265: 1 3 4 9 7
(((x * x) div (((x div 2) + x) + 1)) + 1)
A096607: 1 1 2 2 3 4 4 5 5 6 7 8 8 9 9 10
((((x + 2) * (x + 1)) * (x + 1)) - 1)
A003777: 1 11 35 79 149 251 391 575 809 1099 1451 1871 2365 2939 3599 4351
((((x * 2) * (x - 1)) div (x + 1)) + 1)
A075692: 1 1 2 4 5 7 9 11 13 15
(((((x * x) + 1) div 2) mod (x + 1)) + 1)
A319702: 1 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2
(((((2 + 2) * 2) * 2) * (x + 1)) - 1)
A125169: 15 31 47 63 79 95 111 127 143 159 175 191 207 223 239 255
(((((x + 2) + 2) + 2) * (x + 1)) - 1)
A108195: 5 13 23 35 49 65 83 103 125 149 175 203 233 265 299 335
(((((x + 2) + 2) * 2) div (x + 1)) + 1)
A343947: 9 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3
(((((x + 2) * 2) * 2) * (x + 1)) - 1)
A073577: 7 23 47 79 119 167 223 287 359 439 527 623 727 839 959 1087
(((((x * 2) * 2) * 2) * (x + 1)) + 1)
A069129: 1 17 49 97 161 241 337 449 577 721 881 1057 1249 1457 1681 1921
((2 + 1) mod (((2 + 2) div (x + 1)) + 1))
A307808: 3 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0
((2 + 2) div (((2 + 2) div (x + 1)) + 1))
A071805: 0 1 2 2 4 4 4 4 4 4 4 4 4 4 4 4
(((x div 2) + 1) div ((2 mod (x + 1)) + 1))
A226749: 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2
(((((2 + 1) * x) + 2) * (x + 1)) - 1)
A144390: 1 9 23 43 69 101 139 183 233 289 351 419 493 573 659 751
(((((x + 1) * x) + 2) * (x + 1)) - 1)
A261893: 1 7 23 55 109 191 307 463 665 919 1231 1607 2053 2575 3179 3871
((((x - 2) * (x - 2)) * (x + 1)) - 1)
A177058: 3 1 ~1 3 19 53 111 199 323 489 703 971 1299 1693 2159 2703
(((((x * x) + 1) * x) * (x + 1)) + 1)
A053699: 1 5 31 121 341 781 1555 2801 4681 7381 11111 16105 22621 30941 41371 54241
(((((x + 2) * 2) + x) * (x + 1)) - 1)
A144391: 3 13 29 51 79 113 153 199 251 309 373 443 519 601 689 783
(((x + 2) - ((2 - x) div (x + 1))) + 1)
A257542: 1 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19
(x - (((x div (0 - 2)) * (x - 1)) - 1))
A222011: 1 2 4 8
A053439: 1 2 4 8 11 18 22 32 37 50 56 72 79 98 106 128
(((((x * x) + 1) * x) * (x - 1)) + 1)
A060884: 1 1 11 61 205 521 1111 2101 3641 5905 9091 13421 19141 26521 35855 47461
(((((x + 2) + 2) * x) * (x - 1)) + 1)
A106734: 1 1 13 43 97 181 301 463 673 937 1261 1651 2113 2653 3277 3991
(x - ((((2 - x) * x) * (x - 1)) - 1))
A034324: 1 2 3 10 29 66 127 218 345 514 731 1002 1333 1730 2199 2746
((1 - x) mod (((x * x) * (x - 1)) + 1))
A198297: 0 0 4 17
((((x * x) + 2) * ((x * x) + 1)) - 1)
A057721: 1 5 29 109 305 701 1405 2549 4289 6805 10301 15005 21169 29069 39005 51301
((((x + 2) * x) * ((x * x) + 1)) + 1)
A165563: 1 7 41 151 409 911 1777 3151 5201 8119 12121 17447 24361 33151 44129 57631
((((x * x) - 2) * ((x * x) - 1)) - 1)
A057722: 1 ~1 5 55 209 551 1189 2255 3905 6319 9701 14279 20305 28055 37829 49951
((x mod (((x mod 2) + 1) * (0 - 2))) + 1)
A230074: 1 ~2 1 0 1 ~2 1 0 1 ~2 1 0 1 ~2 1 0
(x - (x div (((2 + 2) * (0 - 2)) - 1)))
A231239-A231238: 0 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17
(x - ((x div ((2 + 2) * (0 - 2))) - 1))
A304812: 1 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18
(x - (((x div (2 + 2)) div (0 - 2)) - 1))
A183302-A076216-A003247: 1 2 3 4 6 7 8 9 10 11 12 13 15 16 17 18
((x div (2 - ((x div 2) div (0 - 2)))) + 1)
A056813: 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3
(1 - (x div (((x div 2) div (0 - 2)) - 1)))
A105096: 1 2 2 3 3 4 3 4 4
(x - ((x div (2 + 1)) div ((0 - 2) - 1)))
A138083: 0 1 2 4 5 6
A235498-A052405: 0 1 2 4 5 6 7 8 9 10 11 12 14 15 16 17
(x - (((x * x) * 2) div ((0 - 2) - 1)))
A320259: 0 2 5 9 15 22 30 40 51 63 77 92 108 126 145 165
(x - (((x mod 2) + x) div ((0 - 2) - 1)))
A047587: 0 2 3 5 6 7 8 10 11 13 14 15 16 18 19 21
(((x + 1) mod 2) - (x div ((0 - 2) - 1)))
A267806: 1 1 2 1 3 2 3 3 4 3 5 4 5 5 6 5
((x div 2) div (2 - (x div ((0 - 2) - 1))))
A184964-A054908-A034402: 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1
(((2 + 1) * x) - (x div ((0 - 2) - 1)))
A198266-A067497: 0 4 7 10 14 17 20 24 27 30 34 37 40 44 47 50
((1 - (x * 2)) - (x mod ((0 - 2) - 1)))
A168071: 1 1 ~2 ~5 ~5 ~8 ~11 ~11 ~14 ~17 ~17 ~20 ~23 ~23 ~26 ~29
((x * x) - ((x * x) div ((0 - 2) - 1)))
A147623: 0 2 6 12 22 34 48 66 86 108 134 162 192 226 262 300
(x - ((((x div 2) + x) div (0 - 2)) - 1))
A329841-A047329: 1 3 5 6 8 10 12 13 15 17 19 20 22 24 26 27
(((x div ((x mod (2 + 1)) + 1)) mod 2) + 1)
A214074: 1 1 1 2 1 2 1 2 1 2 2 2 1 1 1 2
(x - ((((x mod (2 + 1)) - 1) * 2) - 1))
A113655: 3 2 1 6 5 4 9 8 7 12 11 10 15 14 13 18
(((((2 + 2) * (x + 1)) + 1) * 2) + 1)
A004769: 11 19 27 35 43 51 59 67 75 83 91 99 107 115 123 131
(((((x * 2) * (x + 1)) + 1) * 2) + 1)
A164897: 3 11 27 51 83 123 171 227 291 363 443 531 627 731 843 963
(((x - (x div ((0 - 2) - 1))) * 2) + 1)
A047478: 1 5 7 9 13 15 17 21 23 25 29 31 33 37 39 41
(((x div ((x mod (2 + 2)) + 1)) mod 2) + 1)
A322480-A251683: 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 2
(x - ((((x mod (2 + 2)) - 1) * 2) - 1))
A004444: 3 2 1 0 7 6 5 4 11 10 9 8 15 14 13 12
(x div (((((x mod 2) + 2) + 1) * 2) + 1))
A230198: 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 1
(((((x * 2) + 1) div (2 + 1)) * 2) + 1)
A222657: 1 3 3 5 7 7 9 11 11 13 15 15 17 19 19 21
(x - ((((x - 1) div (2 + 1)) * 2) + 1))
A008611: 1 0 1 2 1 2 3 2 3 4 3 4 5 4 5 6
(((((x + 1) div 2) * (2 + 1)) div 2) + 1)
A265428: 1 2 2 4 4 5 5 7 7 8 8 10 10 11 11 13
(x div ((((x div 2) div (2 + 1)) + 2) + 1))
A071804: 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 3
((x div (((x div 2) div (2 + 1)) + 2)) + 1)
A111393: 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4
(((x - ((x div 2) div (2 + 1))) div 2) + 1)
A195072-A121828: 1 1 2 2 3 3 3 4 4 5 5 6 6 6 7 7
(x - ((x - 1) div (((2 + 1) * 2) + 1)))
A227394-A209900-A097043: 1 1 2 3 4 5 6 7 7 8 9 10 11 12 13 13
(((x + 1) * 2) div (((2 + 1) * 2) + 1))
A183138-A060065: 0 0 0 1 1 1 2 2 2 2 3 3 3 4 4 4
(((x * 2) * 2) div (((2 + 1) * 2) + 1))
A263574-A194208-A057358-A038128: 0 0 1 1 2 2 3 4 4 5 5 6 6 7 8 8
(((x div 2) * 2) div (((2 + 1) * 2) + 1))
A165927: 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2
(x - ((x * 2) div (((2 + 1) * 2) + 1)))
A049474: 0 1 2 3 3 4 5 5 6 7 8 8 9 10 10 11
(((2 + 1) * x) div (((2 + 1) * 2) + 1))
A308358-A057357: 0 0 0 1 1 2 2 3 3 3 4 4 5 5 6 6
(((2 + 1) * x) mod (((2 + 1) * 2) + 1))
A111952: 0 3 6 2 5 1 4 0 3 6 2 5 1 4 0 3
(x - ((1 - x) div (((2 + 1) * 2) + 1)))
A047565: 0 1 3 4 5 6 7 8 9 11 12 13 14 15 16 17
(((x + 1) * x) mod (((2 + 1) * 2) + 1))
A053793: 0 2 6 5 6 2 0 0 2 6 5 6 2 0 0 2
(((x - 1) * x) div (((2 + 1) * 2) + 1))
A011860: 0 0 0 0 1 2 4 6 8 10 12 15 18 22 26 30
(2 - ((2 - x) div (((2 + 1) * 2) + 1)))
A210568-A132944: 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4
(x - ((2 - x) div (((2 + 1) * 2) + 1)))
A138083: 0 1 2 4 5 6
A047573: 0 1 2 4 5 6 7 8 9 10 12 13 14 15 16 17
(((x * x) * x) mod (((2 + 1) * 2) + 1))
A070472: 0 1 1 6 1 6 6 0 1 1 6 1 6 6 0 1
((((x + 1) * x) + ((2 + 1) * 2)) + 1)
A027692: 7 9 13 19 27 37 49 63 79 97 117 139 163 189 217 247
((((x + 2) * x) mod ((2 + 1) * 2)) + 1)
A284517: 1 4 3 4 1 6 1 4 3 4 1 6 1 4 3 4
((((x * x) * x) + ((2 + 1) * 2)) + 1)
A084377: 7 8 15 34 71 132 223 350 519 736 1007 1338 1735 2204 2751 3382
(((x - ((1 - x) div (2 + 1))) * 2) + 1)
A047529: 1 3 7 9 11 15 17 19 23 25 27 31 33 35 39 41
((((x * 2) - (x div (2 + 1))) * 2) + 1)
A063213: 1 5 9 11 15 19 21 25 29 31 35 39 41 45 49 51
((((x div 2) - (x div (2 + 1))) div 2) + 1)
A297777-A043560-A043536: 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2
((x div 2) div (((x div (2 + 1)) + 2) + 1))
A342721-A342720-A340370-A331302-A327932-A326033-A326016-A322358-A297245-A297243-A296213-A292149-A277161-A261488-A235919-A180834-A180649-A159451-A151795-A127686-A127683-A125005-A123546-A098854-A098852-A098851-A070105-A070096-A070090-A036876-A036860-A035678-A034409-A025442-A025437-A024154: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
(((x * 2) - ((x div (2 + 1)) mod 2)) + 1)
A187977-A120243: 1 3 5 6 8 10 13 15 17 18 20 22 25 27 29 30
(((x * 2) - ((x mod (2 + 1)) div 2)) + 1)
A029739: 1 3 4 7 9 10 13 15 16 19 21 22 25 27 28 31
(((x * 2) - ((x mod (2 + 1)) mod 2)) + 1)
A047268: 1 2 5 7 8 11 13 14 17 19 20 23 25 26 29 31
((((((x + 2) * x) div 2) + 1) * 2) + 1)
A286264: 3 5 11 17 27 37 51 65 83 101 123 145 171 197 227 257
((((((x mod 2) + x) * 2) + 1) * 2) + 1)
A168378: 3 11 11 19 19 27 27 35 35 43 43 51 51 59 59 67
(((((x div 2) + (x * 2)) + 1) * 2) + 1)
A063239-A063226: 3 7 13 17 23 27 33 37 43 47 53 57 63 67 73 77
(((((x * 2) - (x mod 2)) + 1) * 2) + 1)
A066587-A047621: 3 5 11 13 19 21 27 29 35 37 43 45 51 53 59 61
((x div 2) div ((((x mod 2) + 1) * 2) + 1))
A254436: 0 0 0 0 0 0 1 0 1 0 1 1 2 1 2 1
((((((2 + 2) + 1) * x) + 1) * 2) + 1)
A017305: 3 13 23 33 43 53 63 73 83 93 103 113 123 133 143 153
(((((x div (2 + 1)) + x) + 1) * 2) + 1)
A047484: 3 5 7 11 13 15 19 21 23 27 29 31 35 37 39 43
(((((x div (2 + 2)) + x) + 1) * 2) + 1)
A261033: 3 5 7 9 13
(((((x div (2 + 2)) + x) + 1) div 2) + 1)
A097369-A019446: 1 2 2 3 4 4 5 5 6 7 7 8 9 9 10 10
((((((x + 2) + 2) * x) + 1) * 2) + 1)
A271625: 3 13 27 45 67 93 123 157 195 237 283 333 387 445 507 573
(x - (((((x mod 2) - x) - 1) * 2) - 1))
A047230: 3 4 9 10 15 16 21 22 27 28 33 34 39 40 45 46
(((((x div 2) + 1) * (x + 1)) div 2) + 1)
A191535-A100598: 1 2 4 5 8 10
(((((x * x) - 1) * (x + 1)) div 2) + 1)
A092679: 0 1 5 17
(((((2 + 1) * 2) mod (x + 1)) mod 2) + 1)
A307608: 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
(((((2 + 2) * 2) mod (x + 1)) mod 2) + 1)
A077619: 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1
((((x div (2 + 2)) * (x + 1)) mod 2) + 1)
A111628-A111620: 1 1 1 1 2 1 2 1 1 1 1 1 2 1 2 1
(((((x div 2) + 2) * (x + 1)) div 2) + 1)
A193063-A165132: 2 3 5 7 11 13
(((((x * x) + 2) * (x + 1)) div 2) + 1)
A189890: 2 4 10 23 46 82 134 205 298 416 562 739 950 1198 1486 1817
(((((x * x) * 2) div (x + 1)) * 2) + 1)
A342474: 1 3 5 9 13 17
(((((x * x) div 2) mod (x + 1)) div 2) + 1)
A224876: 1 1 2 1 2 1 3 1 3 1 4 1 4 1 5 1
(((((x + 2) * x) * (x + 1)) div 2) + 1)
A158842: 1 4 13 31 61 106 169 253 361 496 661 859 1093 1366 1681 2041
(((((x div 2) + 2) * (x - 1)) + 2) + 1)
A031940: 1 3 6 9 15 19 28 33 45 51 66 73 91 99 120 129
((((((x div 2) + x) * x) + 1) * 2) + 1)
A301524: 3 5 15 27
((((1 - x) mod ((x * x) + 1)) div 2) + 1)
A238531: 1 1 3 5 8 12 17 23 30 38 47 57 68 80 93 107
(x - (((2 - ((x * x) - 1)) * 2) + 1))
A100041: ~7 ~4 3 14 29 48 71 98 129 164 203 246 293 344 399 458
(((x - ((x div 2) div (0 - 2))) * 2) + 1)
A085820-A045572: 1 3 7 9 11 13 17 19 21 23 27 29 31 33 37 39
(x - ((x + 2) div (((0 - 2) - 2) - 1)))
A285126-A232012-A187388-A184524-A157846-A059537: 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18 19
(x - ((x * 2) div (((0 - 2) - 2) - 1)))
A047332: 0 2 3 5 6 7 9 10 12 13 14 16 17 19 20 21
((x * 2) - (x div (((0 - 2) - 2) - 1)))
A195167: 0 3 5 7 9 11 14 16 18 20 22 25 27 29 31 33
((x div (2 - (x div ((0 - 2) - 2)))) + 1)
A286888: 1 1 1 2 2 2 2 2 3 2 3 3 3 3 3 3
(x mod (x - ((x mod ((0 - 2) - 2)) + 1)))
A338774: 0 1 2 0 1 5 6 0 1 9 10 0 1 13 14 0
((((x * 2) - (x div (0 - 2))) * 2) + 1)
A131229: 1 7 11 17 21 27 31 37 41 47 51 57 61 67 71 77
(x - ((x div ((x div (0 - 2)) - 2)) - 1))
A184336: 1 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18
(((((x div (2 + 1)) - 1) div 2) div 2) + 1)
A297032-A225541-A161092-A102572: 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2
(x - (((((2 + 2) + 1) * 2) * 2) + 1))
A023463: ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7 ~6
((((((x div 2) * 2) + 1) * 2) * 2) + 1)
A168392: 5 5 13 13 21 21 29 29 37 37 45 45 53 53 61 61
(x - (((((x div 2) + 1) div 2) div 2) - 1))
A071377: 1 2 3 4 5 6 6 7 8 9 10 11 12 13 13 14
(((x - (((x div 2) + 1) div 2)) * 2) + 1)
A293990: 1 3 3 5 7 9 9 11 13 15 15 17 19 21 21 23
(((x mod (((x mod 2) + 1) * 2)) * 2) + 1)
A112132: 1 3 1 7 1 3 1 7 1 3 1 7 1 3 1 7
((((((x + 1) * x) + 1) * 2) * 2) + 1)
A078370: 5 13 29 53 85 125 173 229 293 365 445 533 629 733 845 965
((((((x div 2) + x) - 1) div 2) div 2) + 1)
A029865: 0 1 1 1 2 2 3 3 3 4 4
A225593: 0 1 1 1 2 2 3 3 3 4 4 4 5 5 6 6
(((((x + 2) * (x + 1)) div 2) div 2) + 1)
A039823: 1 2 4 6 8 11 15 19 23 28 34 40 46 53 61 69
(((x - (x div ((0 - 2) - 2))) div 2) + 1)
A319433: 1 2 2 3 3 4 5 5 6 7 7 8 8 9 10 10
(((((x mod (2 + 1)) div 2) + 2) * 2) + 1)
A122273: 5 5 7 5 5 7
(x - (((((x + 1) div 2) div 2) div 2) - 1))
A309082-A228298-A060431: 1 2 3 4 5 6 7 7 8 9 10 11 12 13 14 14
((((((x * x) - 1) div 2) div 2) div 2) + 1)
A036406: 0 1 1 2 2 4 5 7 8 11 13 16 18 22 25 29
(x - (((((2 + 2) * 2) * 2) * 2) + 1))
A023475: ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18
(x - (((((2 + 2) * 2) * 2) * 2) - 1))
A023473: ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16
(2 - (x - ((((2 + 2) * 2) * 2) + 1)))
A022975: 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4
((x * x) mod ((((2 + 2) * 2) * 2) + 1))
A054580: 0 1 4 9 16 8 2 15 13 13 15 2 8 16 9 4
((x * 2) div ((((2 + 2) * 2) * 2) - 1))
A209899: 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2
((1 - x) mod ((((2 + 2) * 2) * 2) - 1))
A261305: 1 0 14 13 12 11 10 9 8 7 6 5 4 3 2 1
((x * x) mod ((((2 + 2) * 2) * 2) - 1))
A070638-A070438: 0 1 4 9 1 10 6 4 4 6 10 1 9 4 1 0
(((x - (x div ((2 + 2) * 2))) div 2) + 1)
A104305-A050506: 1 1 2 2 3 3 4 4 4 5 5 6 6 7 7 8
((x div (((x div (2 + 2)) + 2) + 2)) + 1)
A245636: 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3
((((x - (x div (2 + 2))) * 2) * 2) + 1)
A080455: 1 5 9 13 13 17 21 25 25 29 33 37 37 41 45 49
(x - (((((x div 2) mod 2) - 2) - 2) - 1))
A335015: 5 6 6 7 9
((((x - ((x div 2) mod 2)) div 2) * 2) + 1)
A290561: 1 1 1 3 5 5 5 7 9 9 9 11 13 13 13 15
(x mod (((((x mod 2) + 2) + 2) * 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A346511: 0 1 2 3 4 5 6 7 8 9 1 0 3 2 5 4
(x div (((((x mod 2) + 2) * 2) * 2) + 1))
A033665-A024163: 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1
(((((x * x) div 2) mod (2 + 2)) * 2) + 1)
A109768: 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1
((((x * x) + 2) + ((2 + 2) * 2)) + 1)
A189836: 11 12 15 20 27 36 47 60 75 92 111 132 155 180 207 236
(((0 - x) - 1) mod (((2 + 2) * 2) + 1))
A141726: 8 7 6 5 4 3 2 1 0 8 7 6 5 4 3 2
(x - ((x + 1) mod (((2 + 2) * 2) + 1)))
A160949: ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 8 8 8 8 8 8 8 8
(((x + 1) * 2) mod (((2 + 2) * 2) + 1))
A146082: 2 4 6 8 1 3 5 7 0 2 4 6 8 1 3 5
(((x + 2) * 2) div (((2 + 2) * 2) + 1))
A105564: 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3
(x - ((1 - x) div (((2 + 2) * 2) + 1)))
A052404: 0 1 3 4 5 6 7 8 9 10 11 13 14 15 16 17
(((x - 1) * x) div (((2 + 2) * 2) + 1))
A011862: 0 0 0 0 1 2 3 4 6 8 10 12 14 17 20 23
(((x + 2) * x) div (((2 + 2) * 2) + 1))
A287893: 0 0 0 1 2 3 5 7 8 11 13 15 18 21 24 28
(((x * x) * x) div (((2 + 2) * 2) + 1))
A061263: 0 0 0 3 7 13 24 38 56 81 111 147 192 244 304 375
(((x * x) * x) mod (((2 + 2) * 2) + 1))
A167176: 0 1 8 0 1 8 0 1 8 0 1 8 0 1 8 0
((((x + 1) * x) + ((2 + 2) * 2)) + 1)
A027694: 9 11 15 21 29 39 51 65 81 99 119 141 165 191 219 249
(x - (((2 - x) div ((2 + 2) * 2)) - 1))
A183298: 1 2 3 5 6 7 8 9 10 11 12 14 15 16 17 18
(((x * 2) - (x div ((2 + 2) * 2))) + 1)
A329938-A329831-A247429-A063460: 1 3 5 7 9 11 13 15 16 18 20 22 24 26 28 30
(((x div 2) - (x div ((2 + 2) * 2))) + 1)
A285879-A061070: 1 1 2 2 3 3 4 4 4 4 5 5 6 6 7 7
(((x - 2) div ((x div (2 + 2)) + 2)) + 1)
A284248-A023968: 0 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3
(((x * 2) - ((x div (2 + 2)) mod 2)) + 1)
A191230: 1 3 5 7 8 10 12 14 17 19 21 23 24 26 28 30
((((x * 2) - (x mod (2 + 2))) + 2) + 1)
A047425: 3 4 5 6 11 12 13 14 19 20 21 22 27 28 29 30
((((((2 + 1) * x) + 2) * 2) * 2) + 1)
A017629: 9 21 33 45 57 69 81 93 105 117 129 141 153 165 177 189
((((((x div 2) + x) + 2) * 2) * 2) - 1)
A168489: 7 11 19 23 31 35 43 47 55 59 67 71 79 83 91 95
(x - ((((2 - (x div 2)) div 2) div 2) - 1))
A257458: 1 2 3 4 5 6 8 9 10 11 12 13 14 15 17 18
(((x * 2) div (((x div 2) + 2) + 2)) + 1)
A171626-A069624: 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3
((x * 2) div ((((x div 2) + 2) + 2) + 1))
A077429: 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2
(((x div ((2 - (x mod 2)) * 2)) * 2) + 1)
A215495: 1 1 1 3 3 5 3 7 5 9 5 11 7 13 7 15
(((x mod ((2 - (x mod 2)) * 2)) * 2) + 1)
A287765: 1 3 5 3 1 3 5 3 1 3 5 3 1 3 5 3
(((((x * 2) - (x mod 2)) + 2) * 2) + 1)
A047550: 5 7 13 15 21 23 29 31 37 39 45 47 53 55 61 63
((x mod ((x mod ((x mod 2) + 2)) + 2)) + 1)
A131456: 1 2 1 2 1 2 1 2 1 2 1 4 1 2 1 2
(x mod (((x mod ((x mod 2) + 2)) * 2) + 1))
A228495: 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0
(x - ((x mod (((x mod 2) - 2) * 2)) + 1))
A290562: ~1 1 3 3 3 5 7 7 7 9 11 11 11 13 15 15
(((x * 2) - ((x + 1) mod (2 + 2))) + 1)
A047527: 0 1 2 7 8 9 10 15 16 17 18 23 24 25 26 31
((x * x) mod (((x - 1) mod (2 + 2)) + 1))
A175854-A101605: 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0
(((((x * x) - 1) div 2) mod (2 + 2)) + 1)
A109008: 4 1 2 1 4 1 2 1 4 1 2 1 4 1 2 1
(((((x + 1) * x) div 2) mod (2 + 2)) + 1)
A110549: 1 2 4 3 3 4 2 1 1 2 4 3 3 4 2 1
(((x + 1) * (2 + 1)) * ((2 + 2) + 1))
A161455: 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240
(((x + 1) * (2 + 1)) div ((2 + 2) + 1))
A171975: 0 1 1 2 3 3 4 4 5 6 6 7 7 8 9 9
(((x * 2) * (2 + 1)) * ((2 + 2) + 1))
A249674: 0 30 60 90 120 150 180 210 240 270 300 330 360 390 420 450
(((x * x) * (2 + 1)) * ((2 + 2) + 1))
A064761: 0 15 60 135 240 375 540 735 960 1215 1500 1815 2160 2535 2940 3375
((((x div 2) + x) + 1) * ((2 + 2) + 1))
A072703: 5 10 20 25 35 40 50 55 65 70 80 85 95 100 110 115
((((x mod 2) + x) + 1) * ((2 + 2) + 1))
A166621: 5 15 15 25 25 35 35 45 45 55 55 65 65 75 75 85
(((x * 2) * (x + 1)) * ((2 + 2) + 1))
A163761: 0 20 60 120 200 300 420 560 720 900 1100 1320 1560 1820 2100 2400
((x div 2) - ((x + 1) div ((2 + 2) + 1)))
A286716: 0 0 1 1 1 1 2 2 3 2 3 3 4 4 4 4
(2 - ((x div (0 - 2)) * ((2 + 2) + 1)))
A168278: 2 7 7 12 12 17 17 22 22 27 27 32 32 37 37 42
(x - ((x div (0 - 2)) * ((2 + 2) + 1)))
A047335: 0 6 7 13 14 20 21 27 28 34 35 41 42 48 49 55
(x - (((2 + 1) * 2) * ((2 + 2) + 1)))
A023472: ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15
((((x div 2) + 1) * 2) div ((2 + 2) + 1))
A134119: 0 0 0 0 1 1 1 1 2 2 2 2 2 2 3 3
(x - (((x + 1) * 2) div ((2 + 2) + 1)))
A098295-A074840: 0 1 1 2 2 3 4 4 5 5 6 7 7 8 8 9
((((x * x) - 1) * 2) * ((2 + 2) + 1))
A302576: ~10 0 30 80 150 240 350 480 630 800 990 1200 1430 1680 1950 2240
(x - (((2 + 2) * 2) * ((2 + 2) + 1)))
A023482: ~40 ~39 ~38 ~37 ~36 ~35 ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25
((((x * 2) * 2) * 2) * ((2 + 2) + 1))
A317095: 0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600
((((x * 2) * 2) * 2) div ((2 + 2) + 1))
A085270-A047416: 0 1 3 4 6 8 9 11 12 14 16 17 19 20 22 24
((((x div 2) + 2) * 2) div ((2 + 2) + 1))
A321017-A262694-A259361-A182434-A098429: 0 0 1 1 1 1 2 2 2 2 2 2 3 3 3 3
(((x * x) * (2 + 2)) * ((2 + 2) + 1))
A195322: 0 20 80 180 320 500 720 980 1280 1620 2000 2420 2880 3380 3920 4500
(((x * x) * (2 + 2)) div ((2 + 2) + 1))
A279169: 0 0 3 7 12 20 28 39 51 64 80 96 115 135 156 180
(x - (((1 - x) * 2) div ((2 + 2) + 1)))
A047299: 0 1 3 4 6 7 8 10 11 13 14 15 17 18 20 21
((((x + 1) * x) div 2) * ((2 + 2) + 1))
A028895: 0 5 15 30 50 75 105 140 180 225 275 330 390 455 525 600
((((x - 1) * x) div 2) div ((2 + 2) + 1))
A173345: 0 0 0 0 1 2 3 4 5 7 9 11 13 15 18 21
(((x mod 2) * (x + 2)) * ((2 + 2) + 1))
A187486: 0 15 0 25 0 35 0 45 0 55 0 65 0 75 0 85
(x - (1 - ((x + 2) mod ((2 + 2) + 1))))
A065186: 1 3 5 2 4 6 8 10 7 9 11 13 15 12 14 16
(x - (2 - ((x + 2) mod ((2 + 2) + 1))))
A277618: 0 2 4 1 3 5 7 9 6 8 10 12 14 11 13 15
(((x * x) * (x + 2)) mod ((2 + 2) + 1))
A152892: 0 3 1 0 1 0 3 1 0 1 0 3 1 0 1 0
(x - ((1 - (x * 2)) div ((2 + 2) + 1)))
A047301: 0 2 3 4 6 7 9 10 11 13 14 16 17 18 20 21
((x * 2) - ((x * 2) div ((2 + 2) + 1)))
A204399-A195176-A195126-A047496: 0 2 4 5 7 8 10 12 13 15 16 18 20 21 23 24
(((x * x) * (x * 2)) * ((2 + 2) + 1))
A244729: 0 10 80 270 640 1250 2160 3430 5120 7290 10000 13310 17280 21970 27440 33750
((x div 2) - ((x div 2) div ((2 + 2) + 1)))
A139789-A117695: 0 0 1 1 2 2 3 3 4 4 4 4 5 5 6 6
((((2 + 2) + 1) * x) * ((2 + 2) + 1))
A008607: 0 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375
((((x * 2) - 1) * x) * ((2 + 2) + 1))
A152745: 0 5 30 75 140 225 330 455 600 765 950 1155 1380 1625 1890 2175
(1 - (((x + 1) * x) mod ((2 + 2) + 1)))
A105368: 1 ~1 0 ~1 1 1 ~1 0 ~1 1 1 ~1 0 ~1 1 1
((((x * x) - 1) * x) mod ((2 + 2) + 1))
A152894: 0 0 1 4 0 0 0 1 4 0 0 0 1 4 0 0
(((x div (2 + 2)) + x) + ((2 + 2) + 1))
A201472: 5 6 7 8 10 11 12 13 15 16 17 18 20 21 22 23
((x * 2) - ((2 - x) div ((2 + 2) + 1)))
A029924: 0 2 4 7 9 11 13 15 18 20 22 24 26 29 31 33
(1 - (((x mod 2) - x) div ((2 + 2) + 1)))
A260999-A242768-A100617-A090532-A003058: 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4
(x - (((x mod 2) - x) div ((2 + 2) + 1)))
A039234: 0 1 3 4 5 6 8 9 10 11 12 13 15 16 17 18
((x div (2 + 2)) - (x div ((2 + 2) + 1)))
A088951: 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0
(((x + 2) * 2) - (x mod ((2 + 2) + 1)))
A059709: 4 5 6 7 8 14 15
(((2 + 1) * x) - (x mod ((2 + 2) + 1)))
A192333: 0 2 4 6 8 15 17 19 21 23 30 32 34 36 38 45
(1 mod ((2 - (x * x)) mod ((2 + 2) + 1)))
A125144: 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1
(((x * x) * (x * x)) * ((2 + 2) + 1))
A269792: 0 5 80 405 1280 3125 6480 12005 20480 32805 50000 73205 103680 142805 192080 253125
(2 - (1 mod (((1 - x) * (2 + 2)) + 1)))
A222011: 1 2 4 8
A048166-A019442: 1 2 4 8 12 16 20 24 28 32 36 40 44 48 52 56
((((x div (2 + 2)) + x) mod (2 + 2)) + 1)
A273149: 1 2 3 4 2 3 4 1 3 4 1 2 4 1 2 3
(((x * 2) - ((2 - x) div (2 + 2))) + 1)
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A184584: 1 3 5 8 10 12 14 17 19 21 23 26 28 30 32 35
(x - ((((x div 2) + x) div (2 + 2)) - 1))
A039729: 1 2 3 3 4 5 5 6 6 7 8 8 9 10 10 11
(x - ((((x mod 2) - x) * (2 + 2)) - 1))
A136986: 1 2 11 12 21
((((x * 2) * 2) + (x div (2 + 2))) + 1)
A081835: 1 5 9 13 18 22 26 30 35 39 43 47 52 56 60 64
(x - (2 mod (0 - ((x div (2 + 2)) + 1))))
A084689: 0 1 2 3 4 5 6 7 9
A249017-A214879-A014133: 0 1 2 3 4 5 6 7 9 10 11 12 14 15 16 17
((x + 2) - (2 div ((x div (2 + 2)) + 1)))
A244218: 0 1 2 3 5 6 7 8 10 11 12 13 14 15 16 17
((x div 2) - (2 mod ((x div (2 + 2)) + 1)))
A290884: 0 0 1 1 2 2 3 3 2 2 3 3 4 4 5 5
(x - ((x div 2) mod ((x div (2 + 2)) + 1)))
A163296: 0 1 2 3 4 5 5 6 7 8 8 9 10 11 11 12
(((1 - x) * x) mod ((x div (2 + 2)) + 1))
A035668: 0 0 0 0 0 0 0 0 1 0 0 1 0 0 2 2
((((x div 2) + x) + (x div (2 + 2))) + 1)
A047380: 1 2 4 5 8 9 11 12 15 16 18 19 22 23 25 26
(((x + 1) * x) mod ((x mod (2 + 2)) + 1))
A280799-A218876-A123298: 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0
((1 - (x * x)) mod ((x mod (2 + 2)) + 1))
A330174-A316867-A276306-A185708-A185016-A103674-A096904-A086011-A083928: 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
(x - ((((1 - x) * x) * (2 + 2)) - 1))
A054552: 1 2 11 28 53 86 127 176 233 298 371 452 541 638 743 856
((x + 1) mod (((x * x) div (2 + 2)) + 1))
A028253: 0 0 1 1 0 6 7 8 9 10 11 12 13 14 15 16
((x * x) - (((x * x) div (2 + 2)) + 1))
A331952: ~1 0 2 6 11 18 26 36 47 60 74 90 107 126 146 168
((x * x) - (((x * x) div (2 + 2)) - 1))
A222011: 1 2 4 8
A164486-A084684: 1 2 4 8 13 20 28 38 49 62 76 92 109 128 148 170
(1 - (x div ((((1 - x) div 2) - 2) - 1)))
A211664: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3
(x - ((x div (((1 - x) div 2) - 2)) - 1))
A003619: 1 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18
(((((2 mod (x + 1)) - x) div 2) mod 2) + 1)
A026606: 1 2 1 2 2 1 1 2 2 1 1 2 2 1 1 2
((((x * x) - ((2 - x) div 2)) div 2) + 1)
A082643: 0 1 3 6 9 14 20 27 34 43 53 64 75 88 102 117
(((x - (((x mod 2) - x) * 2)) * 2) + 1)
A318165: 1 3 13
A146512: 1 3 13 15 25 27 37 39 49 51 61 63 73 75 85 87
(x - ((x * x) div (((x + 2) + 2) + 1)))
A029837-A004258: 0 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4
((((2 + 1) * x) div ((x + 2) + 2)) + 1)
A220104-A123119: 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3
((((x div 2) * x) div ((x + 2) + 2)) + 1)
A280950-A068980: 1 1 1 1 2 2 2 2 3 3 4 4 5 5 6 6
(((x * x) - 2) mod (((x + 2) * 2) + 1))
A279390: 3 6 2 7
(x - ((x * x) div (((x + 2) * 2) + 1)))
A065603: 0 1 2 3 3 4 4 5 5 6 6 7 8 8 9
((((x * x) * x) * ((x + 2) * 2)) + 1)
A274823: 1 7 65
(((((x mod 2) * x) * (x + 2)) div 2) + 1)
A176889: 1 2 1 8 1 18 1 32 1 50 1 72 1 98 1 128
(x - ((((2 - x) * (x - 2)) * 2) - 1))
A236257: 9 4 3 6 13 24 39 58 81 108 139 174 213 256 303 354
(x - (((2 mod (1 - (x * 2))) * 2) - 1))
A172411: 1 2 5 10
A135042: 1 2 5 10 15 20 25 30 35 40 45 50 55 60 65 70
(((x - (2 mod (1 - (x * 2)))) * 2) + 1)
A144917: 1 3 7 13 19 25 31 37 43 49 55 61 67 73 79 85
(x - ((((x mod 2) - (x * 2)) * 2) - 1))
A271508: 1 4 11 14 21 24 31 34 41 44 51 54 61 64 71 74
(((2 - (x div 2)) + ((x * 2) * 2)) + 1)
A248522: 3 7 10 14 17 21 24 28 31 35 38 42 45 49 52 56
(((2 - (x mod 2)) + ((x * 2) * 2)) + 1)
A047398: 3 6 11 14 19 22 27 30 35 38 43 46 51 54 59 62
(((((2 + 2) + 1) * (x div 2)) + 2) + 1)
A168283: 3 3 8 8 13 13 18 18 23 23 28 28 33 33 38 38
((((x + 1) * 2) div ((x div 2) + 2)) + 1)
A288914: 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4
(x - ((x - 1) div (((x div 2) + 2) + 1)))
A302780: 1 1 2 3 4 5 6 6 7 8 9 10 11 12 13 14
(x - (((1 - x) div ((x div 2) + 2)) - 1))
A212445: 1 2 4 5 6 7 8 10 11 12 13 14 15 16 17 18
(x - (((2 - x) div ((x div 2) + 2)) - 1))
A340745: 0 2 3 5 6 7 8 9 10 12 13 14 15 16 17 18
((((x mod 2) + x) * ((x div 2) + 2)) + 1)
A178218: 1 5 7 13 17 25 31 41 49 61 71 85 97 113 127 145
(((x + 1) * x) div (((x div 2) mod 2) + 1))
A227316: 0 2 3 6 20 30 21 28 72 90 55 66 156 182 105 120
(((x mod 2) + x) - (((x div 2) mod 2) - 1))
A116966: 1 3 2 4 5 7 6 8 9 11 10 12 13 15 14 16
(((((x * x) div 2) - (x mod 2)) div 2) + 1)
A097066: 1 0 2 2 5 6 10 12 17 20 26 30 37 42 50 56
((x div (2 + 2)) div (((x mod 2) + 2) + 1))
A344446-A337605: 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0
(2 - ((2 - x) div (((x mod 2) + 2) + 1)))
A209356: 2 2 2 3 3 3 4 4 4 4 5 5 6
((x + 1) div ((x div ((x mod 2) + 2)) + 1))
A257993-A204917-A062356-A055881: 1 2 1 2 1 3 1 2 1 2 1 3 1 2 1 2
(((x * x) - 1) div (((x mod 2) * 2) - 1))
A131386: 1 0 ~3 8 ~15 24 ~35 48 ~63 80 ~99 120 ~143 168 ~195 224
(((x div 2) + x) div (((x mod 2) * 2) - 1))
A084056: 0 1 ~3 4 ~6 7 ~9 10 ~12 13 ~15 16 ~18 19 ~21 22
((((x + 2) * x) + ((x mod 2) * 2)) + 1)
A086955: 1 6 9 18 25 38 49 66 81 102 121 146 169 198 225 258
((((x * x) * x) + ((x mod 2) * 2)) - 1)
A123363: ~1 2 7 28 63 126 215 344 511 730 999 1332 1727 2198 2743 3376
(((0 - x) mod (((x * x) div 2) + 2)) + 1)
A267459: 1 2 3 4 7 10 15 20 27 34 43 52 63 74 87 100
((((x * 2) div (2 + 1)) + 1) * (2 + 1))
A136289: 3 3 6 9 9 12 15 15 18 21 21 24 27 27 30 33
(x - (((x div (0 - 2)) - 1) div (2 + 1)))
A335137-A187394-A109234-A057907: 1 2 3 4 5 7 8 9 10 11 12 14 15 16 17 18
((x mod (((2 + 1) * 2) + 1)) div (2 + 1))
A307247: 0 0 0 1 1 1 2 0 0 0 1 1 1 2 0 0
((x mod (((2 + 1) * 2) + 1)) mod (2 + 1))
A263844: 0 1 2 0 1 2 0 0 1 2 0 1 2 0 0 1
(((x mod ((2 + 1) * 2)) + 1) div (2 + 1))
A151899: 0 0 1 1 1 2 0 0 1 1 1 2 0 0 1 1
(x - ((((2 + 2) * 2) + 1) * (2 + 1)))
A023469: ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12
(((((x * 2) * 2) * 2) + 1) div (2 + 1))
A047622: 0 3 5 8 11 13 16 19 21 24 27 29 32 35 37 40
(((x - 2) mod ((2 + 2) + 1)) mod (2 + 1))
A014586: 0 1 0 1 2 0 1 0 1 2 0 1 0 1 2 0
(((x div 2) mod ((2 + 2) + 1)) div (2 + 1))
A102677: 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0
(x - ((x div ((2 + 2) + 1)) * (2 + 1)))
A215088: 0 1 2 3 4 2 3 4 5 6 4 5 6 7 8 6
((((x * x) div (2 + 2)) + 1) div (2 + 1))
A328283: 0 0 0 1 1 2 3 4 5 7 8 10 12 14
A069905: 0 0 0 1 1 2 3 4 5 7 8 10 12 14 16 19
(x - ((((x div 2) * 2) + 1) div (2 + 1)))
A276952: 0 1 1 2 3 4 4 5 5 6 7 8 8 9 9 10
((((x + 1) div 2) * (2 + 1)) * (2 + 1))
A168419: 0 9 9 18 18 27 27 36 36 45 45 54 54 63 63 72
(x - (((2 + 2) * (2 + 1)) * (2 + 1)))
A023478: ~36 ~35 ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21
((((x * 2) * 2) * (2 + 1)) * (2 + 1))
A044102: 0 36 72 108 144 180 216 252 288 324 360 396 432 468 504 540
((((x div 2) * 2) mod (2 + 1)) * (2 + 1))
A146761: 0 0 6 6 3 3 0 0 6 6 3 3 0 0 6 6
((((x div 2) mod 2) * (2 + 1)) * (2 + 1))
A021105: 0 0 9 9 0 0 9 9 0 0 9 9 0 0 9 9
((((x * x) * 2) * (2 + 1)) * (2 + 1))
A195321: 0 18 72 162 288 450 648 882 1152 1458 1800 2178 2592 3042 3528 4050
((((2 + 1) * x) * (2 + 1)) * (2 + 1))
A305548: 0 27 54 81 108 135 162 189 216 243 270 297 324 351 378 405
((((x + 1) * x) * (2 + 1)) * (2 + 1))
A163758: 0 18 54 108 180 270 378 504 648 810 990 1188 1404 1638 1890 2160
((((x + 2) * x) * (2 + 1)) * (2 + 1))
A147651: 0 27 72 135 216 315 432 567 720 891 1080 1287 1512 1755 2016 2295
(x - ((1 - (x div (2 + 1))) div (2 + 1)))
A067570: 0 1 2 3 4 5 7
A052414: 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 17
(((x * 2) - (x div (2 + 1))) mod (2 + 1))
A060588: 0 2 1 2 1 0 1 0 2 0 2 1 2 1 0 1
((((x * x) * x) * (2 + 1)) * (2 + 1))
A244728: 0 9 72 243 576 1125 1944 3087 4608 6561 9000 11979 15552 19773 24696 30375
(((((x + 1) * x) div 2) + 1) * (2 + 1))
A290768: 3 6 12 21 33 48 66 87 111 138 168 201 237 276 318 363
(1 - ((x mod ((x div 2) + 1)) div (2 + 1)))
A014100: 1 1 1 1 1 1 1 0 0 0 0 0 0 ~1 ~1 ~1
((x * 2) - (((x div 2) - 1) div (2 + 1)))
A027440: 1 3 4 6 8 10 12
A184736: 1 3 4 6 8 10 12 14 15 17 19 21 23 25 26 28
(((x div (2 - (x mod 2))) + 1) mod (2 + 1))
A164965: 1 2 2 1 0 0 1 2 2 1 0 0 1 2 2 1
((((x * 2) - (x mod 2)) + 1) div (2 + 1))
A273663-A096386: 0 0 1 2 3 3 4 4 5 6 7 7 8 8 9 10
(((1 - x) div ((x mod 2) + 1)) mod (2 + 1))
A110568: 1 0 2 2 0 1 1 0 2 2 0 1 1 0 2 2
((((x div (2 + 2)) + x) + 1) mod (2 + 1))
A190487: 1 2 0 1 0 1 2 0 2 0 1 2 1 2 0 1
(x - ((((x mod 2) - x) + 1) div (2 + 1)))
A047428: 0 1 3 4 5 6 8 9 11 12 13 14 16 17 19 20
(x - ((((x mod 2) - x) - 1) * (2 + 1)))
A047457: 3 4 11 12 19 20 27 28 35 36 43 44 51 52 59 60
(x - ((((x mod 2) - x) - 1) div (2 + 1)))
A047519-A039054: 1 2 3 4 6 7 9 10 11 12 14 15 17 18 19 20
((((2 + 2) * 2) * (x + 1)) div (2 + 1))
A330094-A236535-A059551: 2 5 8 10 13 16 18 21 24 26 29 32 34 37 40 42
((((x + 2) + 2) * (x + 1)) div (2 + 1))
A143975: 1 3 6 9 13 18 23 29 36 43 51 60 69 79 90 101
((((x + 2) * 2) * (x + 1)) div (2 + 1))
A058759: 1 4 8 13
A143978: 1 4 8 13 20 28 37 48 60 73 88 104 121 140 160 181
((((x * x) div 2) mod (x + 1)) div (2 + 1))
A260160: 0 0 0 0 1 0 1 0 1 0 2 0 2 0 2 0
(x - ((x div 2) - ((x + 1) div (2 + 1))))
A010761: 0 1 2 3 3 5 5 6 7 8 8 10 10 11 12 13
(1 - ((x mod 2) - ((x + 1) div (2 + 1))))
A051275: 1 0 2 1 2 2 3 2 4 3 4 4 5 4 6 5
((((x + 1) * x) * (x + 1)) * (2 + 1))
A059986: 0 12 54 144 300 540 882 1344 1944 2700 3630 4752 6084 7644 9450 11520
((((x * 2) * 2) * (x - 1)) * (2 + 1))
A064200: 0 0 24 72 144 240 360 504 672 864 1080 1320 1584 1872 2184 2520
(((x + 2) * x) - ((x - 1) div (2 + 1)))
A331943: 1 3 8 15 23 34 47 61 78 97 117 140 165 191 220 251
((((x - 1) * x) * (x - 1)) * (2 + 1))
A270205: 0 0 6 36 108 240 450 756 1176 1728 2430 3300 4356 5616 7098 8820
((((x - 2) * x) * (x - 1)) div (2 + 1))
A007290: 0 0 0 2 8 20 40 70 112 168 240 330 440 572 728 910
(x - (((x div 2) div (0 - 2)) * (2 + 1)))
A047322: 0 1 5 6 7 8 12 13 14 15 19 20 21 22 26 27
((x * 2) - ((x div (0 - 2)) * (2 + 1)))
A047382: 0 5 7 12 14 19 21 26 28 33 35 40 42 47 49 54
((((x div (2 + 1)) + 1) * 2) * (2 + 1))
A052380: 6 6 6 12 12 12 18 18 18 24 24 24 30 30 30 36
(((((x * 2) * 2) + 1) * 2) * (2 + 1))
A259752: 6 30 54 78 102 126 150 174 198 222 246 270 294 318 342 366
((((x div 2) * (2 + 1)) + 2) * (2 + 1))
A168414: 6 6 15 15 24 24 33 33 42 42 51 51 60 60 69 69
((x * x) mod (((2 + 1) * 2) * (2 + 1)))
A070440: 0 1 4 9 16 7 0 13 10 9 10 13 0 7 16 9
((x mod ((x div (2 + 1)) + 2)) div (2 + 1))
A144200-A144198-A085983-A037911: 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0
((x mod ((x mod (2 + 1)) + 2)) div (2 + 1))
A341508-A335460-A335446-A333146-A325801-A323547-A321537-A320313-A308424-A297234-A294937-A294930-A294927-A294890-A289110-A282673-A277156-A179801-A179391-A107846-A085863-A085393-A084904-A080224-A070203-A070201-A070109-A065202-A062977-A062535-A045701-A037134-A036875-A035698-A035655-A024155-A024153: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
((((x + 2) * (x + 1)) div 2) div (2 + 1))
A001840: 0 1 2 3 5 7 9 12 15 18 22 26 30 35 40 45
(x - (1 - (((x + 1) * 2) * (2 + 1))))
A017041: 5 12 19 26 33 40 47 54 61 68 75 82 89 96 103 110
(x - ((x div ((0 - 2) - 2)) * (2 + 1)))
A047312: 0 4 5 6 7 11 12 13 14 18 19 20 21 25 26 27
((((x div (2 + 1)) * 2) * 2) div (2 + 1))
A054861: 0 0 0 1 1 1 2 2 2 4 4 4 5 5 5 6
(((((x * 2) + 1) * 2) * 2) * (2 + 1))
A073762: 12 36 60 84 108 132 156 180 204 228 252 276 300 324 348 372
(((((x * 2) + 1) * 2) * 2) div (2 + 1))
A231407: 1 4 6
A047408: 1 4 6 9 12 14 17 20 22 25 28 30 33 36 38 41
(x - ((((x + 1) div 2) div 2) * (2 + 1)))
A110657: 0 1 2 0 1 2 3 1 2 3 4 2 3 4 5 3
((((x mod (2 + 2)) * 2) * 2) div (2 + 1))
A130659: 0 1 2 4 0 1 2 4 0 1 2 4 0 1 2 4
(((((x * 2) * 2) * 2) * 2) div (2 + 1))
A172334: 0 5 10 16 21 26 32 37 42 48 53 58 64 69 74 80
(x - (2 - (((2 + 2) * 2) * (2 + 1))))
A296763: 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
((x + 2) - (((2 + 2) * 2) * (2 + 1)))
A023464: ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11 ~10 ~9 ~8 ~7
((x - 2) - (((2 + 2) * 2) * (2 + 1)))
A023468: ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13 ~12 ~11
(1 - (x - (((2 + 2) * 2) * (2 + 1))))
A022981: 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10
(2 - (x - (((2 + 2) * 2) * (2 + 1))))
A022982: 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11
((x * x) mod (((2 + 2) * 2) * (2 + 1)))
A070446: 0 1 4 9 16 1 12 1 16 9 4 1 0 1 4 9
(x - ((x div ((2 + 2) * 2)) * (2 + 1)))
A245355: 0 1 2 3 4 5 6 7 5 6 7 8 9 10 11 12
((((x * x) * (2 + 2)) * 2) * (2 + 1))
A195824: 0 24 96 216 384 600 864 1176 1536 1944 2400 2904 3456 4056 4704 5400
(x - ((((x div 2) * 2) * 2) div (2 + 1)))
A337932: 0 1 1 2 2 3 2 3 3 4 4 5 4 5 5 6
((x mod (((x mod 2) + 2) + 2)) div (2 + 1))
A285963: 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0
((((x + 1) div 2) mod (2 + 2)) div (2 + 1))
A288665: 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0
(0 - (x div (1 - ((2 + 2) * (2 + 1)))))
A174631: 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2
(1 - ((2 - x) div ((2 + 2) * (2 + 1))))
A105209: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3
(((x * x) * x) mod ((2 + 2) * (2 + 1)))
A070597-A070474: 0 1 8 3 4 5 0 7 8 9 4 11 0 1 8 3
(x - (((2 - x) div (2 + 2)) * (2 + 1)))
A047279: 0 1 2 6 7 8 9 13 14 15 16 20 21 22 23 27
((((x div 2) * x) mod (2 + 2)) div (2 + 1))
A340599-A160753: 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0
((x * 2) - ((x div (2 + 2)) * (2 + 1)))
A271324-A230631: 0 2 4 6 5 7 9 11 10 12 14 16 15 17 19 21
((x * 2) - ((x mod (2 + 2)) mod (2 + 1)))
A047397: 0 1 2 6 8 9 10 14 16 17 18 22 24 25 26 30
(((((x - 1) * x) div 2) + 2) div (2 + 1))
A007997: 0 0 1 1 2 4 5 7 10 12 15 19 22 26 31 35
((((x + 2) * (x + 2)) * 2) div (2 + 1))
A030511: 2 6 10 16 24 32 42 54 66 80 96 112 130 150 170 192
(1 - (x - (((x * 2) * 2) * (2 + 1))))
A017401: 1 12 23 34 45 56 67 78 89 100 111 122 133 144 155 166
(2 - (x - (((x * 2) * 2) * (2 + 1))))
A017413: 2 13 24 35 46 57 68 79 90 101 112 123 134 145 156 167
((((x div 2) * (x div 2)) div 2) div (2 + 1))
A319399: 0 0 0 0 0 0 1 1 2 2 4 4 6 6 8 8
(((x * 2) div ((x div 2) + 2)) div (2 + 1))
A219966-A087991: 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1
(((((2 + 2) + 1) * x) + 2) * (2 + 1))
A139606: 6 21 36 51 66 81 96 111 126 141 156 171 186 201 216 231
(((((x + 2) + 1) * x) div 2) * (2 + 1))
A140091: 0 6 15 27 42 60 81 105 132 162 195 231 270 312 357 405
(((((x * 2) - 1) * x) * 2) * (2 + 1))
A152746: 0 6 36 90 168 270 396 546 720 918 1140 1386 1656 1950 2268 2610
((((x div (2 + 2)) + x) + 2) div (2 + 1))
A189574: 0 1 1 1 2 2 3 3 4 4 4 5 5 6 6 6
(1 - ((((x - 2) * x) div 2) mod (2 + 1)))
A115360: 1 ~1 1 0 0 0 1 ~1 1 0 0 0 1 ~1 1 0
(x - ((((x mod 2) - x) - 2) * (2 + 1)))
A047589: 6 7 14 15 22 23 30 31 38 39 46 47 54 55 62 63
(x - ((((x mod 2) - x) - 2) div (2 + 1)))
A047572-A039052: 1 2 4 5 6 7 9 10 12 13 14 15 17 18 20 21
(((x * 2) * 2) - ((x + 2) div (2 + 1)))
A343028: 0 3 7 11 14 18 22 25 29 33 36 40 44 47 51 55
(((x + 1) div 2) - ((x - 2) div (2 + 1)))
A026806: 1 2 1 2 2 2 2 3 2 3 3 3 3 4 3 4
(x - ((2 mod (1 - (x * 2))) div (2 + 1)))
A061402: 0 1 3 4 6 8 9 11 13 14 16 18 19 21 23 24
(1 - ((x div 2) - ((x * 2) * (2 + 1))))
A131912: 1 7 12 18 23 29 34 40 45 51 56 62 67 73 78 84
(x - (((1 - x) * (x * 2)) * (2 + 1)))
A051866: 0 1 14 39 76 125 186 259 344 441 550 671 804 949 1106 1275
((((x - 1) div 2) * (x div 2)) div (2 + 1))
A011866: 0 0 0 0 0 1 2 3 4 5 6 8 10 12 14 16
(((2 + 1) * x) - ((x div 2) div (2 + 1)))
A198263: 0 3 6 9 12 15 17 20 23 26 29 32 34 37 40 43
(((x div 2) + x) - ((x div 2) mod (2 + 1)))
A037472: 0 1 2 3 4 5 9 10 11 12 13 14 18 19 20 21
(x - (((1 - x) - (x mod 2)) div (2 + 1)))
A047503: 0 2 3 4 5 7 8 10 11 12 13 15 16 18 19 20
((((x + 2) * x) + (x mod 2)) * (2 + 1))
A270257: 0 12 24 48 72 108 144 192 240 300 360 432 504 588 672 768
(x - ((((1 - x) * x) - 2) * (2 + 1)))
A047915: 6 7 14 27 46 71 102 139 182 231 286 347 414 487 566 651
((1 - (((2 - x) * x) div 2)) mod (2 + 1))
A115357: 1 1 1 0 2 0 1 1 1 0 2 0 1 1 1 0
(((((2 + 1) * 2) + 1) * x) * (2 + 1))
A008603: 0 21 42 63 84 105 126 147 168 189 210 231 252 273 294 315
(((x div ((2 + 2) + 1)) + x) * (2 + 1))
A271449: 0 3 6 9 12 18
(((((x * 2) * 2) + 1) * x) * (2 + 1))
A063436: 0 15 54 117 204 315 450 609 792 999 1230 1485 1764 2067 2394 2745
(((((x * 2) * 2) - 1) * x) * (2 + 1))
A062783: 0 9 42 99 180 285 414 567 744 945 1170 1419 1692 1989 2310 2655
((((x div 2) div (2 + 1)) + x) div (2 + 1))
A085269-A057362: 0 0 0 1 1 1 2 2 3 3 3 4 4 5 5 5
(1 - (((x div (2 + 1)) - x) div (2 + 1)))
A108956-A108955: 1 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5
((((x * x) * (2 + 1)) + x) * (2 + 1))
A282693: 0 12 42 90 156
A045945: 0 12 42 90 156 240 342 462 600 756 930 1122 1332 1560 1806 2070
((((x * x) * (2 + 1)) - x) * (2 + 1))
A152743: 0 6 30 72 132 210 306 420 552 702 870 1056 1260 1482 1722 1980
(((((x * x) * 2) + 1) * x) div (2 + 1))
A005900: 0 1 6 19 44 85 146 231 344 489 670 891 1156 1469 1834 2255
(((x + 1) * 2) - ((1 - x) div (2 + 1)))
A329842: 2 4 7 9 11 14 16 18 21 23 25 28 30 32 35 37
(((x + 1) * x) - ((1 - x) div (2 + 1)))
A262523: 0 2 7 13 21 32 44 58 75 93 113 136 160 186 215 245
(((((x + 1) * x) - 1) * x) div (2 + 1))
A212971: 0 0 3 11 25 48 82 128 189 267 363 480 620 784 975 1195
((((2 + 2) mod (x + 1)) + x) div (2 + 1))
A080405: 0 0 1 1 2 3 3 3 4 4 4 5 5 5 6 6
(((2 - (x div (0 - 2))) * x) div (2 + 1))
A233524: 0 1 2 4 5 8
A095031: 0 1 2 4 5 8 10
(((x div ((2 + 2) * 2)) + x) + (2 + 1))
A154660: 3 4 5 6 7 8
A048135: 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19
(((((x + 2) + 2) + 2) * x) + (2 + 1))
A028878: 3 10 19 30 43 58 75 94 115 138 163 190 219 250 283 318
(((((x + 2) + 2) + 2) * x) * (2 + 1))
A140681: 0 21 48 81 120 165 216 273 336 405 480 561 648 741 840 945
(((((x mod 2) + 2) * 2) + x) div (2 + 1))
A103469: 1 2 2 3 2 3 3 4 4 5 4 5 5 6 6 7
(x - (((x mod (2 + 2)) - x) * (2 + 1)))
A126007: 0 1 2 3 16 17 18 19 32 33 34 35 48 49 50 51
(((((2 + 1) * x) - 2) * x) * (2 + 1))
A152751: 0 3 24 63 120 195 288 399 528 675 840 1023 1224 1443 1680 1935
(1 - (x - (((x div 2) + x) * (2 + 1))))
A047356: 1 3 8 10 15 17 22 24 29 31 36 38 43 45 50 52
(2 - (x - (((x div 2) + x) * (2 + 1))))
A047348: 2 4 9 11 16 18 23 25 30 32 37 39 44 46 51 53
(2 - (x - (((x mod 2) + x) * (2 + 1))))
A168205: 2 7 6 11 10 15 14 19 18 23 22 27 26 31 30 35
((x + 2) - (((x mod 2) - x) * (2 + 1)))
A047473: 2 3 10 11 18 19 26 27 34 35 42 43 50 51 58 59
(((x div (2 + 1)) - 1) * (x div (2 + 1)))
A241460: 0 0 0 0 0 0 2 2 2 6
((((x - 1) * 2) - 1) * (x div (2 + 1)))
A112986: 0 0 0 3 5 7 18 22 26 45 51 57 84 92 100 135
(((x + 1) * (2 + 1)) + (x div (2 + 1)))
A171982-A066343: 3 6 9 13 16 19 23 26 29 33 36 39 43 46 49 53
(((x + 1) div (2 + 1)) * (x div (2 + 1)))
A008133: 0 0 0 1 1 2 4 4 6 9 9 12 16 16 20 25
(((x + 2) div (2 + 1)) * (x div (2 + 1)))
A008130: 0 0 0 1 2 2 4 6 6 9 12 12 16 20 20 25
((((x div 2) + 1) div 2) + (x div (2 + 1)))
A187324: 0 0 1 2 2 2 4 4 4 5 6 6 7 7 8 9
((((x + 2) * 2) * 2) + (x div (2 + 1)))
A078609: 8 12 16 21 25 29 34 38 42 47 51 55 60 64 68 73
((((x - 1) * x) div 2) + (x div (2 + 1)))
A171452: 0 0 1 4 7 11 17 23 30 39 48 58 70 82 95 110
((((x * 2) - 1) * x) + (x div (2 + 1)))
A264938: 0 1 6 16 29 46 68 93 122 156 193 234 280 329 382 440
((((x + 2) * 2) + x) + (x div (2 + 1)))
A125620: 4 7 10 14
(x div (((2 + 1) * 2) + (x mod (2 + 1))))
A236765: 0 0 0 0 0 0 1 1 1 1 1 1 2 1 1 2
((((x div 2) + x) * 2) - (x mod (2 + 1)))
A272299: 0 1 4 8 11 12 18 19 22 26 29 30 36 37 40 44
(((((2 + 2) + 1) * x) * x) div (2 + 1))
A222170: 0 1 6 15 26 41 60 81 106 135 166 201 240 281 326 375
(((((x * x) - 1) * x) * x) div (2 + 1))
A112742: 0 0 4 24 80 200 420 784 1344 2160 3300 4840 6864 9464 12740 16800
(x - ((2 mod (2 - (x * x))) mod (2 + 1)))
A335129: 0 1 2 2 4 5 5 7 8 8 10 11 11 13 14 14
(((x * x) * 2) - ((x * x) div (2 + 1)))
A113422: 0 2 7 15 27 42 60 82 107 135 167 202 240 282 327 375
(((x * 2) * 2) - ((x * x) mod (2 + 1)))
A083031: 0 3 7 12 15 19 24 27 31 36 39 43 48 51 55 60
((((((2 + 1) * 2) + 1) * x) * 2) + 1)
A131877: 1 15 29 43 57 71 85 99 113 127 141 155 169 183 197 211
((((((x + 2) + 2) + 1) * x) div 2) - 1)
A046691: ~1 2 6 11 17 24 32 41 51 62 74 87 101 116 132 149
((((((x + 2) * 2) + 1) * x) * 2) + 1)
A082112: 1 15 37 67 105 151 205 267 337 415 501 595 697 807 925 1051
((((((x * 2) * 2) + 1) * x) * 2) + 1)
A188135: 1 11 37 79 137 211 301 407 529 667 821 991 1177 1379 1597 1831
((((((x * 2) * 2) + 1) * x) * 2) - 1)
A033566: ~1 9 35 77 135 209 299 405 527 665 819 989 1175 1377 1595 1829
((((((x * 2) * 2) - 1) * x) * 2) + 1)
A185438: 1 7 29 67 121 191 277 379 497 631 781 947 1129 1327 1541 1771
((((((x div 2) + 2) + 1) * x) div 2) + 1)
A013660: 1 2 5 7 11
(((((x div 2) div (2 + 1)) + x) div 2) + 1)
A005378: 1 1 2 2 3 3 4 5 5 6 6 7 8 8 9 9
(((((x * x) * (2 + 1)) + x) * 2) + 1)
A136392: 1 9 29 61 105 161 229 309 401 505 621 749 889 1041 1205 1381
(((((x * x) * (2 + 1)) + x) div 2) + 1)
A104249: 1 3 8 16 27 41 58 78 101 127 156 188 223 261 302 346
(((((x * x) * (2 + 1)) - x) div 2) + 1)
A143689: 1 2 6 13 23 36 52 71 93 118 146 177 211 248 288 331
(((((x * x) div (2 + 1)) - x) div 2) + 1)
A058212: 1 0 0 1 1 2 4 5 7 10 12 15 19 22 26 31
(x - ((((x * x) * (1 - x)) div 2) - 1))
A218152: 1 2 5 13 29 56 97 155 233 334 461 617 805 1028 1289 1591
(((((2 + 2) * (x + 1)) + x) * 2) - 1)
A017353: 7 17 27 37 47 57 67 77 87 97 107 117 127 137 147 157
(((((2 div (x + 1)) + 2) * x) * 2) + 1)
A222945: 1 7 9 13 17 21 25 29 33 37 41 45 49 53 57 61
((((x div ((2 + 2) * 2)) + x) * 2) + 1)
A204458-A192861: 1 3 5 7 9 11 13 15 19 21 23 25 27 29 31 33
((((x div ((2 + 2) * 2)) + x) div 2) + 1)
A226190: 1 1 2 2 3 3 4 4 5 6 6 7 7 8 8 9
(x mod ((((x div (2 + 2)) + x) div 2) + 1))
A057367-A057366-A032634: 0 0 0 1 1 1 2 2 2 3 3 4 4 4 5 5
(x - ((((x div (2 + 2)) - x) * 2) - 1))
A115566: 1 4 7 10 11 14 17 20 21 24 27 30 31 34 37 40
(x - ((((x div (2 + 2)) - x) div 2) - 1))
A225647: 1 3 4 6 7
A247987: 1 3 4 6 7 8 10 11 12 14 15 17 18 19 21 22
(x - (((((x div 2) mod 2) - x) * 2) + 1))
A042944: ~1 2 3 6 11 14 15 18 23 26 27 30 35 38 39 42
(x - (((((x div 2) mod 2) - x) * 2) - 1))
A174398: 1 4 5 8 13 16 17 20 25 28 29 32 37 40 41 44
(x - (((((x div 2) mod 2) - x) div 2) - 1))
A213637-A047251: 1 3 4 5 7 9 10 11 13 15 16 17 19 21 22 23
((((((2 + 1) * x) + 2) * x) * 2) + 1)
A080859: 1 11 33 67 113 171 241 323 417 523 641 771 913 1067 1233 1411
((((((x mod 2) + x) * 2) + x) * 2) + 1)
A091998: 1 11 13 23 25 35 37 47 49 59 61 71 73 83 85 95
(((x * 2) - (((x div 2) * x) mod 2)) + 1)
A047445: 1 3 5 6 9 11 13 14 17 19 21 22 25 27 29 30
((((x div (2 + 1)) + 1) * (x + 2)) - 1)
A138984: 1 2 3 9 11 13 23 26 29 43 47 51 69 74 79 101
((((x div (2 + 2)) + 1) * (x + 2)) - 1)
A138985: 1 2 3 4 11 13 15 17 29 32 35 38 55 59 63 67
((((x * x) * (2 + 1)) div (x + 2)) + 1)
A231408: 1 2 4 6 9
A271906: 1 2 4 6 9 11 14 17 20 23 26
((((x + 2) * (x + 2)) * (x + 2)) + 1)
A034126: 9 28 65 126 217 344 513 730 1001 1332 1729 2198 2745 3376 4097 4914
((x mod (((x * x) + 2) div (x + 2))) + 1)
A157639: 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3
((((x * 2) * 2) + 1) div ((x + 2) + 1))
A130259: 0 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3
(((x * x) * (x - 1)) * ((x + 2) + 1))
A173963: 0 0 20 108 336 800 1620 2940 4928 7776 11700 16940 23760 32448 43316 56700
((((x div 2) + 1) * 2) * ((x + 2) + 1))
A159469: 6 8 20 24 42 48 72 80 110 120 156 168 210 224 272 288
(((x * x) div (2 + 2)) div ((x + 2) + 1))
A123577: 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3
(2 - (((x - 2) * 2) div ((x + 2) + 1)))
A171623: 4 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1
((((x + 1) * x) div 2) * ((x + 2) + 1))
A077414: 0 4 15 36 70 120 189 280 396 540 715 924 1170 1456 1785 2160
((((x - 1) * x) div 2) * ((x + 2) + 1))
A212343: 0 0 5 18 42 80 135 210 308 432 585 770 990 1248 1547 1890
(2 - (((2 - x) * 2) div ((x + 2) + 1)))
A323665: 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4
((((2 + 2) + 1) * x) div ((x + 2) + 1))
A227177: 0 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4
(x - (((x - 1) * x) div ((x + 2) + 1)))
A331137-A236857-A156874-A084556-A078767-A071578: 0 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4
((((x * x) div (2 + 1)) + (x * 2)) + 1)
A083505: 1 3 6 10 14
(((x * 2) - (2 mod (1 - (x * 2)))) + 1)
A083505: 1 3 6 10 14
A113127: 1 3 6 10 14 18 22 26 30 34 38 42 46 50 54 58
((x * x) - ((2 mod (1 - (x * 2))) - 1))
A267874: 1 2 6 13 22 33 46 61 78 97 118 141 166 193 222 253
((((x mod (2 + 1)) mod 2) + (x * 2)) + 1)
A047259: 1 4 5 7 10 11 13 16 17 19 22 23 25 28 29 31
((((x div (0 - 2)) mod 2) + (x * 2)) + 1)
A231407: 1 4 6
A047508: 1 4 6 7 9 12 14 15 17 20 22 23 25 28 30 31
((((x div (2 + 2)) mod 2) + (x * 2)) + 1)
A225240: 1 3 5 7 10 12 14 16 17 19 21 23 26 28 30 32
((((1 - x) mod (2 + 2)) + (x * 2)) - 1)
A047551: 0 1 6 7 8 9 14 15 16 17 22 23 24 25 30 31
((((x * x) div (2 + 2)) + (x * 2)) + 1)
A004116: 1 3 6 9 13 17 22 27 33 39 46 53 61 69 78 87
((x * x) div (((x div 2) + (x * 2)) - 1))
A283302-A107347: 0 1 1 1 1 2 2 3 3 3 4 4 4 5 5 6
((x div ((0 - 2) - 1)) mod ((x * 2) + 1))
A195127: 0 2 4 6 7 9 11 12 14 16 17 19 21 22 24 26
((((2 + 1) * 2) + 1) * ((x * 2) + 1))
A147587: 7 21 35 49 63 77 91 105 119 133 147 161 175 189 203 217
((((x + 2) * 2) + 1) * ((x * 2) + 1))
A078371: 5 21 45 77 117 165 221 285 357 437 525 621 725 837 957 1085
((((x * 2) * 2) + 1) * ((x * 2) + 1))
A014634: 1 15 45 91 153 231 325 435 561 703 861 1035 1225 1431 1653 1891
((((x div 2) * 2) + 1) * ((x * 2) + 1))
A014493: 1 3 15 21 45 55 91 105 153 171 231 253 325 351 435 465
((((2 + 1) * x) + 1) * ((x * 2) + 1))
A033570: 1 12 35 70 117 176 247 330 425 532 651 782 925 1080 1247 1426
((((x + 1) * x) + 1) * ((x * 2) + 1))
A005898: 1 9 35 91 189 341 559 855 1241 1729 2331 3059 3925 4941 6119 7471
(((x + 2) * (x + 1)) * ((x * 2) + 1))
A213820: 2 18 60 140 270 462 728 1080 1530 2090 2772 3588 4550 5670 6960 8432
(((x * 2) * (x + 1)) * ((x * 2) + 1))
A300758: 0 12 60 168 360 660 1092 1680 2448 3420 4620 6072 7800 9828 12180 14880
((x div ((0 - 2) - 2)) mod ((x * 2) + 1))
A195173: 0 2 4 6 8 9 11 13 15 16 18 20 22 23 25 27
((((x + 2) + 2) + 2) * ((x * 2) + 1))
A056237: 6 21 40 63 90 121 156 195 238 285 336 391 450 513 580 651
((1 - ((x mod 2) * 2)) * ((x * 2) + 1))
A157142: 1 ~3 5 ~7 9 ~11 13 ~15 17 ~19 21 ~23 25 ~27 29 ~31
((((x + 1) * x) div 2) * ((x * 2) + 1))
A059270: 0 3 15 42 90 165 273 420 612 855 1155 1518 1950 2457 3045 3720
((((x - 1) * x) div 2) * ((x * 2) + 1))
A160378: 0 0 5 21 54 110 195 315 476 684 945 1265 1650 2106 2639 3255
((((x + 2) * x) + 2) * ((x * 2) + 1))
A290631: 2 15 50 119 234 407 650 975 1394 1919 2562 3335 4250 5319 6554 7967
((((x * 2) + 1) * x) * ((x * 2) + 1))
A084367: 0 9 50 147 324 605 1014 1575 2312 3249 4410 5819 7500 9477 11774 14415
(((2 - (x mod 2)) * x) * ((x * 2) + 1))
A169642: 0 3 20 21 72 55 156 105 272 171 420 253 600 351 812 465
((((x * 2) * 2) - 1) * ((x * 2) - 1))
A039595: 1 3 21 55
A033567: 1 3 21 55 105 171 253 351 465 595 741 903 1081 1275 1485 1711
((((2 + 1) * x) + 1) * ((x * 2) - 1))
A033569: ~1 4 21 50 91 144 209 286 375 476 589 714 851 1000 1161 1334
((((2 + 1) * x) - 1) * ((x * 2) - 1))
A033568: 1 2 15 40 77 126 187 260 345 442 551 672 805 950 1107 1276
((((x * 2) * 2) * 2) * ((x * 2) - 1))
A152750: 0 8 48 120 224 360 528 728 960 1224 1520 1848 2208 2600 3024 3480
(x - (((1 - x) * x) * ((x * 2) - 1)))
A212133: 0 1 8 33 88 185 336 553 848 1233 1720 2321 3048 3913 4928 6105
(((((x + 2) * 2) + x) * (x * 2)) + 1)
A239325: 1 15 41 79 129 191 265 351 449 559 681 815 961 1119 1289 1471
((((x * x) div (2 + 1)) + (x div 2)) + 1)
A281333: 1 1 3 5 8 11 16 20 26 32 39 46 55 63 73 83
(((((x - 1) * x) - 1) * (x div 2)) + 1)
A140837: 1 1 2 6 23
(((((x + 2) * x) * 2) - (x div 2)) + 1)
A234717: 1 7 16 30 47 69 94 124 157 195 236 282 331 385 442 504
(((((x + 2) * x) div 2) + (x div 2)) + 1)
A084265: 1 2 6 9 15 20 28 35 45 54 66 77 91 104 120 135
((((x + 2) * 2) + 1) * ((x div 2) + 1))
A153192: 5 7 18 22 39 45 68 76 105 115 150 162 203 217 264 280
((((x mod 2) + 2) + 1) * ((x div 2) + 1))
A195019: 3 4 6 8 9 12 12 16 15 20 18 24 21 28 24 32
(x mod (2 - ((2 + 1) mod ((x div 2) + 1))))
A324539-A241666: 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
(((1 - x) div (2 + 1)) mod ((x div 2) + 1))
A261348: 0 0 1 1 2 1 2 2 2 2 3 2 3 3 3 3
((((x + 2) * x) + 1) * ((x div 2) + 1))
A130656: 1 4 18 32 75 108 196 256 405 500 726 864 1183 1372 1800 2048
(2 - ((x div (0 - 2)) * ((x div 2) + 1)))
A290743: 2 3 4 6 8 11 14 18 22 27 32 38 44 51 58 66
((((x div 2) + 1) * 2) * ((x div 2) + 1))
A137583: 2 2 8 8 18 18 32 32
((x - ((x div 2) mod 2)) * ((x div 2) + 1))
A215795: 0 1 2 4 12
(x - (((x mod 2) - x) * ((x div 2) - 1)))
A247375: 0 1 2 3 8 9 18 19 32 33 50 51 72 73 98 99
(x - ((((2 - x) * x) * (x div 2)) - 1))
A306666: 1 2 3 7 21
(((2 mod ((x div 2) + 1)) + (x mod 2)) + 1)
A076258: 1 2 1 2 3 4 3 4 3 4 3 4 3 4 3 4
(((x div ((2 + 2) * 2)) - (x mod 2)) + 1)
A025821: 1 0 1 0 1 0 1 0 2 1 2 1 2 1 2 1
((((x mod (2 + 2)) * 2) - (x mod 2)) + 1)
A131800: 1 2 5 6 1 2 5 6 1 2 5 6 1 2 5 6
(((x - 2) * x) mod ((2 - (x mod 2)) + 1))
A265859: 0 1 0 1 2 1 0 1 0 1 2 1 0 1 0 1
(((((x + 1) * x) div 2) + (x mod 2)) + 1)
A236453: 1 3 4 8 11 17 22 30 37 47 56 68 79 93 106 122
((((x div 2) + (x * 2)) * (x mod 2)) + 1)
A165498: 1 3 1 8 1
((((2 + 1) * x) + 1) * ((x mod 2) + 1))
A166138: 1 8 7 20 13 32 19 44 25 56 31 68 37 80 43 92
(((x + 2) * (x + 1)) div ((x mod 2) + 1))
A168059: 2 3 12 10 30 21 56 36 90 55 132 78 182 105 240 136
((x - (x div (0 - 2))) div ((x mod 2) + 1))
A006368: 0 1 3 2 6 4 9 5 12 7 15 8 18 10 21 11
(((x * x) div (2 + 2)) div ((x mod 2) + 1))
A123596: 0 0 1 1 4 3 9 6 16 10 25 15 36 21 49 28
((((x + 2) + 2) * x) + ((x mod 2) + 1))
A225227: 1 7 13
A227786: 1 7 13 23 33 47 61 79 97 119 141 167 193 223 253 287
((((((2 + 2) + 1) * x) * x) div 2) + 1)
A121509: 1 3 11 23 41 63 91 123 161 203 251 303 361 423 491 563
(2 - (1 mod ((((1 - x) * x) + 2) + 1)))
A135445: 1 1 2 4 10
((((((x + 2) * 2) + x) * x) div 2) + 1)
A212959: 1 4 11 20 33 48 67 88 113 140 171 204 241 280 323 368
((((x * x) + 2) * ((x * x) + 2)) - 1)
A304726: 3 8 35 120 323 728 1443 2600 4355 6888 10403 15128 21315 29240 39203 51528
((((x * x) - 2) * ((x * x) - 2)) - 1)
A033596: 3 0 3 48 195 528 1155 2208 3843 6240 9603 14160 20163 27888 37635 49728
(((((x * x) * x) * (x * x)) div 2) + 1)
A274325: 1 1 17 122 513 1563 3889 8404 16385 29525 50001 80526 124417 185647 268913 379688
(((((2 + 2) * (2 + 1)) + 1) * x) + 1)
A190991: 1 14 27 40 53 66 79 92 105 118 131 144 157 170 183 196
(((((2 + 2) * (x + 1)) - 1) * x) + 1)
A033951: 1 8 23 46 77 116 163 218 281 352 431 518 613 716 827 946
(((x div (((2 + 1) * 2) + 1)) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A344742-A342521-A330977-A329135-A325368-A325251-A255805-A207481-A188437-A182768-A078129-A068937-A048107-A047592-A007915-A004709: 1 2 3 4 5 6 7 9 10 11 12 13 14 15 17 18
((((((2 + 2) * 2) * 2) + 1) * x) + 1)
A215137: 1 18 35 52 69 86 103 120 137 154 171 188 205 222 239 256
((((((x + 2) + 2) + 2) + 1) * x) + 1)
A190576: 1 9 19 31 45 61 79 99 121 145 171 199 229 261 295 331
((((x * 2) div ((2 + 2) + 1)) + x) + 1)
A047333-A039033-A032796: 1 2 3 5 6 8 9 10 12 13 15 16 17 19 20 22
(((2 mod ((x div (2 + 2)) + 1)) + x) + 1)
A214678: 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18
(((x - (((x div 2) mod 2) - 1)) * x) + 1)
A076862: 1 3 5 10 21
(((((2 + 2) * 2) * (2 + 1)) - x) - 1)
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((((x div (2 + 2)) * (2 + 1)) + x) + 1)
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(((((x * x) * 2) div (2 + 1)) + x) + 1)
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(((((x + 2) * x) div (2 + 1)) + x) + 1)
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(((((x mod 2) + x) * (2 + 1)) + x) + 1)
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(((((x mod 2) + x) div (2 + 1)) + x) + 1)
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((((((2 + 2) + 1) * x) - 1) * x) + 1)
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((((((2 + 2) * 2) + x) + 1) * x) + 1)
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(((((x * x) div 2) mod (x + 1)) + x) + 1)
A187012-A081556: 1 2 5 4 8 6 11 8 14 10 17 12 20 14 23 16
(((2 + 1) * x) div (((x - 1) * x) + 1))
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(((((x * x) * (x * x)) + 1) * x) + 1)
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(((((x * x) * (x * x)) - 1) * x) + 1)
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((((x div ((2 + 2) + 1)) * 2) + x) + 1)
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(((((x * 2) div (2 + 1)) * 2) + x) + 1)
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(((((x div 2) div (2 + 1)) * 2) + x) + 1)
A340152-A047422-A031487: 1 2 3 4 5 6 9 10 11 12 13 14 17 18 19 20
((((x - (x mod (2 + 1))) div 2) + x) + 1)
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((((2 mod ((x div 2) + 1)) * 2) + x) + 1)
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((((((2 + 2) + 1) * 2) * 2) - x) + 1)
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(((((x div (2 + 1)) * 2) * 2) + x) + 1)
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A191159-A047360: 1 2 3 8 9 10 15 16 17 22 23 24 29 30 31 36
(((((2 mod (x + 1)) + 2) + 2) * x) + 1)
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((((((2 + 2) * 2) * 2) * 2) - x) + 1)
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((((((2 + 2) * 2) * 2) * 2) - x) - 1)
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((2 div ((((2 + 2) * 2) * 2) - x)) + 1)
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(x div (((x mod ((2 + 2) * 2)) + x) - 1))
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((((x - (x div (2 + 2))) div 2) + x) + 1)
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((((x - (x div (2 + 2))) mod 2) + x) + 1)
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((((x - ((x div 2) mod 2)) div 2) + x) + 1)
A047255-A039019: 1 2 3 5 7 8 9 11 13 14 15 17 19 20 21 23
(1 mod ((((x + 1) mod (2 + 2)) * x) - 1))
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((((2 - (x div 2)) mod (2 + 2)) + x) - 1)
A236210: 1 2 2 3 3 4 8 9
(((x - ((1 - x) * (2 + 2))) * x) + 1)
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(((((x + 2) * x) + (2 + 2)) * x) + 1)
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(((((x + 2) * x) div (2 + 2)) + x) + 1)
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(((((x mod 2) + x) * (2 + 2)) + x) + 1)
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(((((2 - x) * x) + (2 + 2)) * x) + 1)
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((((((x + 1) * x) div 2) + 2) * x) + 1)
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(((x * x) div (((x + 2) * 2) + x)) + 1)
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(((x - ((1 - (x * 2)) * 2)) * x) + 1)
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(((((x mod 2) + (x * 2)) * 2) + x) + 1)
A306277-A291663: 1 8 11 18 21 28 31 38 41 48 51 58 61 68 71 78
(((((x * x) + (x mod 2)) * 2) - x) + 1)
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((((((2 + 2) + 1) * x) + 2) * x) + 1)
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(((((x div (2 + 1)) + x) * 2) + x) + 1)
A085048: 1 4 7 12 15 18 23
(((((x div (2 + 2)) + x) div 2) + x) + 1)
A286989-A184656: 1 2 4 5 7 9 10 12 14 15 17 18 20 22 23 25
((((((x div 2) mod 2) + x) div 2) + x) + 1)
A285520: 1 2 4 6 7 8 10 12 13 14 16 18 19 20 22 24
(2 mod (((((x div 2) * x) mod 2) * x) - 1))
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(x - (2 mod (x - (((x - 2) * x) + 1))))
A295484: 0 1 2 3 7
A073827: 0 1 2 3 7 14
(((((2 + 2) + 1) * (x div 2)) + x) + 1)
A327299-A047353: 1 2 8 9 15 16 22 23 29 30 36 37 43 44 50 51
(((((x * 2) + 1) * (x div 2)) + x) + 1)
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(((((x div 2) + 1) * (x div 2)) + x) + 1)
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(x - ((x * x) div (((x div 2) + x) + 1)))
A227145: 0 1 1 2 2 2 3 3 4 4 4 4 5 5 6 6
(((x mod ((0 - 2) - 1)) + 1) * (x + 1))
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((((2 + 2) * (2 + 1)) + 1) * (x + 1))
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((((2 + 2) * (2 + 1)) + 1) div (x + 1))
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((((2 + 2) * (2 + 1)) - 1) * (x + 1))
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((((2 + 2) * (2 + 1)) - 1) div (x + 1))
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((((x * x) div (2 + 1)) + 1) * (x + 1))
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(((2 mod ((x div 2) + 1)) + 1) * (x + 1))
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((x div (((0 - 2) - 2) - 1)) mod (x + 1))
A332204-A195181: 0 1 2 3 4 5 5 6 7 8 9 9 10 11 12 13
(((((2 + 2) * 2) * 2) + 1) * (x + 1))
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(((((2 + 2) * 2) * 2) + 1) div (x + 1))
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(((((2 + 2) * 2) * 2) - 1) div (x + 1))
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(((x mod ((2 + 2) * 2)) + 1) mod (x + 1))
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(((x + 1) mod ((2 + 2) + 1)) mod (x + 1))
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((((2 - x) mod (2 + 2)) + 1) div (x + 1))
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((((2 - (x mod 2)) + 2) + 1) * (x + 1))
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((((2 + 1) * 2) * (2 + 1)) div (x + 1))
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((((2 + 2) * 2) * (2 + 1)) div (x + 1))
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(((((x + 1) * x) div 2) + 1) * (x + 1))
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(((((x + 2) * x) div 2) + 1) * (x + 1))
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(((x div (2 - (x mod 2))) + 1) * (x + 1))
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A133092: 1 4 6 16 15 36 28 64 45 100 66 144 91 196 120 256
(((((x mod 2) * 2) + x) + 1) * (x + 1))
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((((x * x) + 1) * (x + 1)) * (x + 1))
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(((2 - (x mod 2)) * (x + 1)) * (x + 1))
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((((x * x) * 2) * (x + 1)) * (x + 1))
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((((x + 1) * x) * (x + 1)) * (x + 1))
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((((x + 2) * x) * (x + 1)) * (x + 1))
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((((x div 2) - 1) * (x - 1)) div (x + 1))
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(((((2 + 1) * 2) + 1) * 2) div (x + 1))
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(((((x + 2) + 2) + 1) * 2) * (x + 1))
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((((2 - (x mod 2)) + 1) * 2) * (x + 1))
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((((x * x) * (x + 1)) div 2) * (x + 1))
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((((x div 2) div (0 - 2)) * 2) mod (x + 1))
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(((((2 + 2) + 1) * 2) * 2) div (x + 1))
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(((((x + 1) div 2) div 2) div 2) * (x + 1))
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(((((2 + 2) * 2) * 2) * 2) div (x + 1))
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(((x div ((2 + 2) * 2)) + 2) * (x + 1))
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(((x mod ((2 + 2) * 2)) + 2) mod (x + 1))
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((x - (((x div 2) mod 2) * 2)) * (x + 1))
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(2 - ((2 - (x div (2 + 2))) div (x + 1)))
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(((x * x) - (x div (2 + 2))) div (x + 1))
A064524: 0 0 1 2 3 4 5 6 6 7 8 9 10 11 12 13
(2 - (x - (((x * 2) * 2) * (x + 1))))
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(2 - (((1 - (x div 2)) * 2) div (x + 1)))
A230864: 0 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3
((1 - (x mod ((x mod 2) + 2))) div (x + 1))
A284586: 1 0 0 0 0 ~1 0 0 0 0 0 ~1 0 0 0 0
(((((x div 2) + 1) * x) div 2) mod (x + 1))
A131739: 0 0 2 3 1 1 5 6 2 2 8 9 3 3 11 12
(((((x * x) + 1) * x) div 2) * (x + 1))
A071237: 0 2 15 60 170 390 777 1400 2340 3690 5555 8052 11310 15470 20685 27120
((((x div (2 + 2)) - x) div 2) mod (x + 1))
A156301-A112318: 0 1 2 2 3 4 4 5 6 6 7 7 8 9 9 10
((((2 + 2) * 2) mod (x + 2)) div (x + 1))
A162518-A063665: 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
((((x + 2) * x) * (x + 2)) * (x + 1))
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(x - ((x div 2) - ((x * 2) * (x + 1))))
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(((x + 2) div (2 - (x mod 2))) * (x + 1))
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((((x - 2) * x) + (x mod 2)) div (x + 1))
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(((((2 + 1) * 2) + 1) * x) * (x + 1))
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(((((x + 1) * 2) + 1) * x) * (x + 1))
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((((x * x) * (2 + 1)) + x) * (x + 1))
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(((((x - 1) div 2) div 2) * x) div (x + 1))
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(((((x + 2) * 2) * 2) + x) * (x + 1))
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((((x * 2) mod (2 + 1)) - 1) * (x - 1))
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(((((x * x) + 1) * x) div 2) * (x - 1))
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((((x * x) div 2) * (x - 2)) * (x - 1))
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((x - ((x * x) * (1 - x))) * (x - 1))
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(2 - ((((2 - x) * 2) - x) * (x - 1)))
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(((((x * x) + 1) * x) * x) * (x - 1))
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(((((x + 2) * 2) + x) * x) * (x - 1))
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((((x * x) * x) * (x * x)) * (x - 1))
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((((((2 + 1) * 2) + 1) * x) * x) + 1)
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(((((2 + 2) * (x + 1)) + x) * x) + 1)
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(((((x * x) + (2 + 2)) * x) * x) + 1)
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((((2 + 2) * (2 + 1)) + (x * x)) + 1)
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((((2 + 2) mod (x + 1)) + (x * x)) + 1)
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(((((2 + 2) * 2) * 2) + (x * x)) + 1)
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(((((2 + 2) * 2) * 2) + (x * x)) - 1)
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((((x * 2) * 2) * 2) * ((x * x) + 1))
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(((x * x) + (2 + 2)) * ((x * x) + 1))
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(((x * x) * (2 + 2)) * ((x * x) + 1))
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((((x * x) * 2) - 1) * ((x * x) - 1))
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(((x * x) * (2 + 2)) * ((x * x) - 1))
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(((x * x) * (x * x)) * ((x * x) - 1))
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((((x * x) * (x * x)) * (x * x)) + 1)
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(x - (((x div 2) * (2 + 1)) div (0 - 2)))
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(x - ((((x - 1) div 2) div 2) div (0 - 2)))
A323733: 0 1 2 3 4 6 7 8 9 10 11 12 13 15 16 17
((x div (((x mod 2) - 2) - 2)) div (0 - 2))
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(x - (((x + 1) mod (2 + 2)) div (0 - 2)))
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((x + 2) - ((x div (2 + 2)) div (0 - 2)))
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(x - (((x + 2) * (x + 2)) div (0 - 2)))
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(x - (((x div (2 + 2)) + x) div (0 - 2)))
A066093-A022342: 0 2 3 5 7 8 10 11 13 15 16 18 20 21 23 24
(x - ((((x div 2) mod 2) + x) div (0 - 2)))
A047262: 0 2 4 5 6 8 10 11 12 14 16 17 18 20 22 23
(((1 - x) div (2 + 1)) * (x div (0 - 2)))
A010762: 0 0 1 2 2 6 6 8 12 15 15 24 24 28 35 40
(((x * x) div (0 - 2)) * (x div (0 - 2)))
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(((x mod (2 + 1)) mod 2) - (x div (0 - 2)))
A137719: 0 2 1 2 3 3 3 5 4 5 6 6 6 8 7 8
((1 - ((2 + 2) * 2)) * (x div (0 - 2)))
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((x div ((2 + 2) * 2)) - (x div (0 - 2)))
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(2 - ((2 - x) div (2 - (x div (0 - 2)))))
A345377-A096143: 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4
((((x mod 2) * x) * 2) - (x div (0 - 2)))
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(((x * x) * (x + 2)) - (x div (0 - 2)))
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(((x mod 2) * 2) - ((x * x) div (0 - 2)))
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(((x mod (((2 + 1) * 2) + 1)) + 1) mod 2)
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(((x mod (((2 + 2) * 2) + 1)) + 1) mod 2)
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((((x - 2) mod ((2 + 2) + 1)) + 1) mod 2)
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((((x div 2) mod ((2 + 2) + 1)) + 1) mod 2)
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((x mod ((x div ((2 + 2) + 1)) + 1)) div 2)
A024161-A011725: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1
((x div ((x mod ((2 + 2) + 1)) + 1)) mod 2)
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((((x * x) div ((2 + 2) + 1)) + 1) div 2)
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(((x div ((x mod (2 + 2)) + 1)) + 1) mod 2)
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(((x mod ((x mod (2 + 2)) + 1)) + 1) mod 2)
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(((x mod (((x mod 2) + 2) + 1)) + 1) mod 2)
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(((x mod (((x mod 2) - 2) - 1)) + 1) mod 2)
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(((((x + 1) * 2) * (2 + 1)) - 1) * 2)
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((x mod (((x + 2) div (2 + 1)) + 1)) mod 2)
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((x - (((1 - x) div (2 + 1)) - 1)) * 2)
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(((2 + 1) mod ((x div (2 + 1)) + 1)) mod 2)
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(((x + 1) mod ((x div (2 + 1)) + 1)) mod 2)
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(((x * 2) mod ((x div (2 + 1)) + 1)) mod 2)
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(((2 + 2) div ((x mod (2 + 1)) + 1)) + 2)
A217515: 6 4 3 6 4 3 6 4 3 6 4 3 6 4 3 6
((x - (x div ((x mod (2 + 1)) + 1))) mod 2)
A283020-A204814: 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0
((((x * x) div ((x div 2) + 1)) + 1) mod 2)
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(((((2 + 1) * 2) mod (x + 1)) + 1) mod 2)
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(((((x + 2) + 2) * (x + 1)) - 1) * 2)
A181510: 6 18 34 54 78 106 138 174 214 258 306 358 414 474 538 606
((((2 - (x div 2)) mod (x + 1)) + 1) mod 2)
A281114: 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0
(((((x * x) + 2) * (x + 1)) - 1) * 2)
A304159: 2 10 34 86 178 322 530 814 1186 1658 2242 2950 3794 4786 5938 7262
((x div (((2 + 2) * (0 - 2)) - 1)) mod 2)
A343643: 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0
((x mod (((2 + 2) * (0 - 2)) - 1)) mod 2)
A327253-A144607: 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1
(x - (((x div 2) div ((0 - 2) - 1)) * 2))
A047569: 0 1 4 5 6 7 8 9 12 13 14 15 16 17 20 21
((x mod (2 - (x div ((0 - 2) - 1)))) mod 2)
A324772: 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1
(0 - (x div ((x div ((0 - 2) - 1)) - 2)))
A329199-A127321: 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3
((((x * 2) - (x div (0 - 2))) + 1) * 2)
A090772: 2 8 12 18 22 28 32 38 42 48 52 58 62 68 72 78
((((((x div 2) * 2) + 1) * 2) + 1) * 2)
A168384: 6 6 14 14 22 22 30 30 38 38 46 46 54 54 62 62
(((x + 1) mod (((2 + 1) * 2) + 1)) mod 2)
A267513: 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0
(((x - 1) div (((2 + 1) * 2) + 1)) mod 2)
A017872: 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0
(((x + 2) mod (((2 + 1) * 2) + 1)) mod 2)
A285684-A253050-A241575: 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1
((x * x) mod ((((2 + 1) * 2) + 1) * 2))
A070437: 0 1 4 9 2 11 8 7 8 11 2 9 4 1 0 1
(((2 - x) div (((2 + 1) * 2) + 1)) mod 2)
A204547: 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0
(((2 - x) mod (((2 + 1) * 2) + 1)) mod 2)
A299908: 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1
((x mod (((x div (2 + 1)) * 2) - 1)) mod 2)
A274635: 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0
((x - (((x mod (2 + 1)) div 2) - 1)) div 2)
A300076: 0 1 1 2 2 2 3 4 4 5 5 5 6 7 7 8
(x - ((x div (((0 - 2) - 2) - 1)) * 2))
A047308: 0 3 4 5 6 7 10 11 12 13 14 17 18 19 20 21
(((x * x) div (((0 - 2) - 2) - 1)) mod 2)
A188321: 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 1
(x - (((x div ((0 - 2) - 2)) - 1) * 2))
A028726: 2 5 6 7 8 11
((((x - (x div (0 - 2))) * 2) + 1) * 2)
A091999: 2 10 14 22 26 34 38 46 50 58 62 70 74 82 86 94
((x mod ((((x + 1) div 2) div 2) + 1)) div 2)
A025432: 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0
((x mod ((((x + 1) div 2) div 2) + 1)) mod 2)
A099618: 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0
((2 mod ((((x - 1) div 2) * 2) - 1)) + 2)
A327441: 1 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4
(x - (((((2 + 2) * 2) * 2) + 1) * 2))
A023476: ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19
((x div ((((2 + 2) * 2) * 2) - 1)) + 2)
A156822: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
(((x + 2) mod (((2 + 2) * 2) + 1)) mod 2)
A276394-A215532: 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0
(((2 - x) mod (((2 + 2) * 2) + 1)) mod 2)
A287028: 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1
((x div ((x div ((2 + 2) * 2)) + 1)) mod 2)
A173923: 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1
((x div ((x mod ((2 + 2) * 2)) + 1)) mod 2)
A305930-A277151-A091888-A035697-A035671-A035641: 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1
((((x * x) div ((2 + 2) * 2)) + 1) div 2)
A056822: 0 0 0 1 1 2 2 3 4 5 6 8 9 11 12 14
(((x div ((x div (2 + 2)) + 2)) + 1) div 2)
A065684-A037203: 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2
((x mod (((x div (2 + 2)) * 2) - 1)) mod 2)
A290870-A277159-A216579-A035674-A025434: 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0
((((x - (x div (2 + 2))) div 2) + 1) mod 2)
A085002: 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1
(((((x * x) + (2 + 2)) + 2) + 1) * 2)
A255846: 14 16 22 32 46 64 86 112 142 176 214 256 302 352 406 464
((x mod ((((x mod 2) - 2) * 2) - 1)) mod 2)
A143541: 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0
((2 div (((x + 1) mod (2 + 2)) + 1)) + 2)
A182214: 3 2 2 4 3 2 2 4 3 2 2 4 3 2 2 4
((x mod (((x + 1) mod (2 + 2)) + 1)) mod 2)
A130638: 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0
((x mod (((x - 1) mod (2 + 2)) + 1)) mod 2)
A330549-A322392-A318673-A316868-A295883-A295662-A263717-A187946-A186747-A185017-A083929-A079690-A033109: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
((x mod (((x + 2) mod (2 + 2)) + 1)) div 2)
A339171-A329639-A325562-A316869-A229659-A198318-A186748-A083919-A083896-A056975-A054438-A044939-A037877-A037859-A037824-A033111-A027353-A026829-A026802: 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
((((x * 2) + 1) div ((2 + 2) + 1)) * 2)
A289195: 0 0 2 2 2 4 4 6 6 6 8 8 10 10 10 12
((((x div 2) + 1) mod ((2 + 2) + 1)) mod 2)
A281081-A279278: 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1
(x - (((x + 1) div ((2 + 2) + 1)) * 2))
A286717: 0 1 2 3 2 3 4 5 6 5 6 7 8 9 8 9
((((x * x) - 1) div ((2 + 2) + 1)) mod 2)
A083035: 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0
((((x - 1) div 2) div ((2 + 2) + 1)) mod 2)
A096740-A017905: 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1
((x - ((x div 2) div ((2 + 2) + 1))) mod 2)
A179081-A113217: 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0
(x - (((x div 2) mod ((2 + 2) + 1)) * 2))
A103181: 0 1 0 1 0 1 0 1 0 1 10 11 10 11 10 11
((((x * x) * 2) mod ((2 + 2) + 1)) * 2)
A191761: 0 4 6 6 4 0 4 6 6 4 0 4 6 6 4 0
(((2 + 1) * x) mod (((2 + 2) + 1) * 2))
A131579: 0 3 6 9 2 5 8 1 4 7 0 3 6 9 2 5
(((x + 1) * x) mod (((2 + 2) + 1) * 2))
A134301: 0 2 6 2 0 0 2 6 2 0 0 2 6 2 0 0
((x * 2) - (x mod (((2 + 2) + 1) * 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A249873-A140281-A118761-A102491-A024657: 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25
((1 - (x * x)) mod (((2 + 2) + 1) * 2))
A194886: 1 0 7 2 5 6 5 2 7 0 1 0 7 2 5 6
(((x * x) * x) mod (((2 + 2) + 1) * 2))
A008960: 0 1 8 7 4 5 6 3 2 9 0 1 8 7 4 5
(x - (((1 - x) div ((2 + 2) + 1)) * 2))
A047314: 0 1 4 5 6 7 8 11 12 13 14 15 18 19 20 21
(x - (((2 - x) div ((2 + 2) + 1)) * 2))
A192225: 0 1 2 5
A047326: 0 1 2 5 6 7 8 9 12 13 14 15 16 19 20 21
((((x mod 2) + x) * ((2 + 2) + 1)) + 2)
A168457: 2 12 12 22 22 32 32 42 42 52 52 62 62 72 72 82
((x * x) - ((x - ((2 + 2) + 1)) * 2))
A154533: 10 9 10 13 18 25 34 45 58 73 90 109 130 153 178 205
(((x * 2) - (x mod ((2 + 2) + 1))) * 2)
A179082-A014263: 0 2 4 6 8 20 22 24 26 28 40 42 44 46 48 60
((x - (((2 - x) div (2 + 2)) - 1)) div 2)
A123070-A074065-A024811: 0 1 1 2 3 3 4 5 5 6 6 7 8 8 9 10
((x mod (((2 - x) div (2 + 2)) - 1)) mod 2)
A219052-A218604: 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0
((x mod (((2 - x) mod (2 + 2)) + 1)) div 2)
A345952-A345951-A319710-A107078-A080733-A060039-A056978-A056170: 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1
(((((x div 2) + x) div (2 + 2)) + 1) mod 2)
A074201: 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0
(((x + 1) mod ((x div (2 + 2)) + 1)) div 2)
A127788-A060564-A001617: 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0
(((x - 1) mod ((x div (2 + 2)) + 1)) div 2)
A277154-A035693-A035653-A025433-A011723: 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1
((x div 2) - (((x div (2 + 2)) + 1) div 2))
A123087: 0 0 1 1 1 1 2 2 3 3 4 4 4 4 5 5
(((x + 1) mod ((x mod (2 + 2)) + 1)) div 2)
A297231-A185705-A056977-A049337-A044941-A033909-A026831-A025463: 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
((x * 2) - (((x mod (2 + 2)) + 1) div 2))
A047460: 0 1 3 4 8 9 11 12 16 17 19 20 24 25 27 28
((x * 2) - (((x mod (2 + 2)) - 1) div 2))
A047613: 1 2 4 5 9 10 12 13 17 18 20 21 25 26 28 29
((x mod (x - ((x mod (2 + 2)) - 1))) mod 2)
A070107-A070103: 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0
((((((x div 2) + x) div 2) * 2) + 1) * 2)
A080460: 2 2 6 10 14 14 18 22 26 26 30 34 38 38 42 46
(((((x div 2) + (x * 2)) + 2) + 1) * 2)
A131501: 6 10 16 20 26 30 36 40 46 50
(((x * x) mod (((x * 2) * 2) + 1)) mod 2)
A082848-A078588: 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0
(((x * x) div (((x div 2) + 2) + 1)) mod 2)
A092436: 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0
(((((1 - x) * (x div 2)) div 2) + 1) mod 2)
A294624: 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0
(((x + 1) mod (((x mod 2) + 2) + 1)) div 2)
A025435: 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0
((2 mod (x - (((x mod 2) + 2) + 1))) + 2)
A281796: 1 1 2 2 2 2 4 4 4 4 4 4 4 4 4 4
(x div ((x div (((x mod 2) + 2) + 1)) + 2))
A085141: 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 3
((x - (x mod (((x mod 2) - 2) - 1))) div 2)
A296021: 0 1 1 2 3 3 3 4 4 5 6 6 6 7 7 8
(((x mod ((2 + 2) + 1)) div (2 + 1)) + 2)
A107789: 2 2 2 3 3 2 2 2 3 3 2 2 2 3 3 2
((x - ((x div (2 + 1)) mod (2 + 1))) div 2)
A096533: 0 0 1 1 1 2 2 2 3 4 5 5 5 6 6 6
((x - ((x div (2 + 1)) mod (2 + 1))) mod 2)
A051069-A051065: 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1
((((x * x) div (2 + 1)) mod (2 + 1)) mod 2)
A305388: 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0
(((((x div 2) + x) + 1) * (2 + 1)) div 2)
A330184: 1 3 6 7 10 12 15 16 19 21 24 25 28 30 33 34
((x mod 2) - (((x + 1) div (2 + 1)) mod 2))
A092220: 0 1 ~1 0 ~1 1 0 1 ~1 0 ~1 1 0 1 ~1 0
((x mod (x - ((x + 1) mod (2 + 1)))) div 2)
A057558: 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0
(x - ((x div ((0 - 2) * (2 + 1))) * 2))
A047563: 0 3 4 5 6 7 8 11 12 13 14 15 16 19 20 21
(x - (((x div (0 - 2)) * (2 + 1)) div 2))
A047297: 0 3 4 6 7 10 11 13 14 17 18 20 21 24 25 27
(x - ((((x + 1) div 2) div (2 + 1)) * 2))
A285872: 0 1 2 3 4 3 4 5 6 7 8 7 8 9 10 11
((x - (((x + 1) div 2) div (2 + 1))) mod 2)
A197879-A187976: 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1
(((((x + 1) div 2) div 2) mod (2 + 1)) mod 2)
A023970: 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1
(((((x - 1) div 2) div 2) div (2 + 1)) mod 2)
A017907: 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
(((((x - 1) div 2) div 2) mod (2 + 1)) div 2)
A029446-A017879: 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0
(((x mod ((2 + 2) * 2)) mod (2 + 1)) mod 2)
A284772: 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1
(((((x * 2) * 2) * 2) div (2 + 1)) + 2)
A047539: 2 4 7 10 12 15 18 20 23 26 28 31 34 36 39 42
((x mod (1 - ((2 + 2) * (2 + 1)))) mod 2)
A051840: 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1
((x - (x div ((2 + 2) * (2 + 1)))) div 2)
A029923: 0 0 1 1 2 2 3 3 4 4 5 5 5 6 6 7
((x - (x div ((2 + 2) * (2 + 1)))) mod 2)
A285589: 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0
(x - (((x div (2 + 2)) * (2 + 1)) div 2))
A331835-A022290: 0 1 2 3 3 4 5 6 5 6 7 8 8 9 10 11
((((x * x) div (2 + 2)) * (2 + 1)) div 2)
A033436: 0 0 1 3 6 9 13 18 24 30 37 45 54 63 73 84
(((x mod ((x div 2) + 2)) div (2 + 1)) mod 2)
A037806: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0
((x - (((x div 2) - 2) div (2 + 1))) div 2)
A244225: 0 1 1 2 2 2 3 3 4 4 4 5 5 6 6 7
(((((x + 1) * x) div 2) * (2 + 1)) div 2)
A281026: 0 1 4 9 15 22 31 42 54 67 82 99 117 136 157 180
(x - ((((2 - x) div 2) div (2 + 1)) * 2))
A192225: 0 1 2 5
A047581-A039067: 0 1 2 5 6 7 8 9 10 13 14 15 16 17 18 21
(((((x + 2) * x) + 2) * (2 + 1)) + 2)
A106648: 8 17 32 53 80 113 152 197 248 305 368 437 512 593 680 773
(x - (((1 - (x * 2)) div (2 + 1)) * 2))
A047342: 0 3 4 7 10 11 14 17 18 21 24 25 28 31 32 35
((((x div 2) + (x * 2)) * (2 + 1)) div 2)
A214066: 0 3 7 10 15 18 22 25 30 33 37 40 45 48 52 55
((2 - ((1 - (x div 2)) div (2 + 1))) * 2)
A111655: 4 4 4 4 6 6 6 6 6 6 8 8 8 8 8 8
(x - (((1 - (x div 2)) div (2 + 1)) * 2))
A047505-A039071: 0 1 2 3 6 7 8 9 10 11 14 15 16 17 18 19
((x - ((1 - (x div 2)) div (2 + 1))) div 2)
A244229: 0 0 1 1 2 3 3 4 4 5 6 6 7 7 8 8
(x - ((x - ((x div 2) div (2 + 1))) div 2))
A097337: 0 1 1 2 2 3 4 4 5 5 6 6 7 8 8 9
((x + 2) div (((x mod 2) * (2 + 1)) + 2))
A290980: 1 0 2 1 3 1 4 1 5 2 6 2 7 3 8 3
((((x + 1) * x) div 2) mod ((2 + 1) * 2))
A104686: 0 1 3 0 4 3 3 4 0 3 1 0 0 1 3 0
(((x div (2 + 2)) + x) + ((2 + 1) * 2))
A005050: 6 7 8 9 11 12 13 14 16 17 18 19 21 22 23 24
((((x div 2) + x) * x) mod ((2 + 1) * 2))
A076266: 0 1 0 0 0 5 0 4 0 3 0 2 0 1 0 0
((((x div (2 + 1)) * x) mod (2 + 1)) div 2)
A144194: 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0
((((x div (2 + 1)) * x) mod (2 + 1)) mod 2)
A144596: 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0
(x - ((x - ((1 - x) mod (2 + 1))) div 2))
A096445: 1 1 2 2 2 4 4
((((x div (2 + 2)) + x) div (2 + 1)) + 2)
A231151: 2 2 2 3 3 4 4 4 5 5 6 6 7 7 7 8
(((((x mod 2) * 2) + x) + (2 + 1)) * 2)
A124349: 6 12 10 16 14 20 18 24 22 28 26 32 30 36 34 40
((x mod ((0 - 2) - (x div (2 + 1)))) mod 2)
A260446-A096268: 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0
(((x div 2) + x) - ((x div (2 + 1)) * 2))
A063201: 0 1 3 2 4 5 5 6 8 7 9 10 10 11 13 12
((((x div 2) * x) * (x div (2 + 1))) mod 2)
A328981: 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1
((x div (x - (1 - (x mod (2 + 1))))) + 2)
A276857-A244893: 2 3 2 3 3 2 3 3 2 3 3 2 3 3 2 3
(((x + 1) * 2) - ((x mod (2 + 1)) div 2))
A047261: 2 4 5 8 10 11 14 16 17 20 22 23 26 28 29 32
(((x * 2) * 2) - ((x mod (2 + 1)) div 2))
A083030: 0 4 7 12 16 19 24 28 31 36 40 43 48 52 55 60
(2 - ((x mod 2) - ((x mod (2 + 1)) mod 2)))
A106253: 2 2 2 1 3 1 2 2 2 1 3 1 2 2 2 1
(((2 mod (2 - (x * x))) mod (2 + 1)) + 2)
A022922: 2 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3
(((((x div (2 + 2)) * x) div 2) + 1) div 2)
A161422: 0 0 0 0 1 1 2 2 4 5
(((x mod (((x div 2) + x) - 2)) + 1) mod 2)
A076213: 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0
(((((2 + 2) * 2) div (x + 2)) + 1) mod 2)
A186727: 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1
((((x div 2) * x) div ((x + 2) + 1)) mod 2)
A037828: 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1
((((2 - x) * x) div ((x + 2) + 1)) mod 2)
A288508: 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1
((((x div 2) - 1) mod ((x * 2) + 1)) + 2)
A183193: 2 4 2 2 3 3 4
(((x div (2 + 2)) * ((x * 2) + 1)) + 2)
A112727: 2 2 2 2 11
((((x * x) + 1) div ((x * 2) - 1)) mod 2)
A285162: 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1
(x - (((x - 1) mod ((x div 2) + 1)) div 2))
A176842: 0 1 2 3 4 5 6 6 7 8 9 9 10 11 12 12
((((x * x) + 1) mod ((x div 2) + 1)) mod 2)
A073059: 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0
((((2 + 1) * 2) mod ((x div 2) + 1)) mod 2)
A102681-A097470-A065716-A049800-A037832: 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0
((((x - 2) * 2) mod ((x div 2) + 1)) mod 2)
A285931: 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0
((((x * 2) * 2) mod ((x div 2) + 1)) mod 2)
A144601: 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0
((((x div 2) + 2) * ((x div 2) + 1)) div 2)
A008805: 1 1 3 3 6 6 10 10 15 15 21 21 28 28 36 36
(x div (((x * 2) div ((x div 2) + 1)) + 2))
A092278: 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 3
((((x * x) * 2) mod ((x div 2) + 1)) mod 2)
A284976-A277149-A011722: 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0
((((2 + 1) * x) mod ((x div 2) + 1)) mod 2)
A116374: 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1
((((x div 2) * x) * ((x div 2) + 1)) div 2)
A290168: 0 0 2 3 12 15 36 42 80 90 150 165 252 273 392 420
((((1 - x) * x) mod ((x div 2) + 1)) mod 2)
A193139: 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0
((x - ((x * x) mod ((x div 2) + 1))) mod 2)
A258021-A033684: 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
((x div (((2 - x) * (x div 2)) - 1)) - 2)
A133852: ~2 ~3 ~4 ~4 ~3
(x div ((x div ((2 - (x mod 2)) + 1)) + 2))
A230773: 0 0 1 1 1 1 1 1 2 1 2 1 2 1 2 1
((((x * x) div (2 - (x mod 2))) + 1) div 2)
A147685: 0 1 1 5 4 13 9 25 16 41 25 61 36 85 49 113
((((x + 1) div 2) div ((x mod 2) + 1)) * 2)
A240828: 0 0 2 2 4 2 6 4 8 4 10 6 12 6 14 8
((((x div ((2 + 2) + 1)) + x) + 1) * 2)
A225241: 2 4 6 8 10 14 16 18 20 22 26 28 30 32 34 38
((((((x div 2) * 2) + 1) * x) + 1) * 2)
A245764: 2 4 14 20 42 52 86 100 146 164 222 244 314 340 422 452
((((((x + 1) * x) + 1) * x) - 1) * 2)
A155120: ~2 4 26 76 166 308 514 796 1166 1636 2218 2924 3766 4756 5906 7228
((((((x mod 2) + x) - 1) * x) + 1) * 2)
A245766: 2 4 6 20 26 52 62 100 114 164 182 244 266 340 366 452
((((x div ((2 + 2) * 2)) + x) + 1) div 2)
A276796: 0 1 1 2 2 3 3 4 5 5 6 6 7 7 8 8
(((((x div 2) * (x div 2)) + x) + 1) div 2)
A166515: 0 1 2 2 4 5 8 8 12 13 18 18 24 25 32 32
(((x div ((0 - 2) - 1)) mod (x + 1)) + 2)
A196165-A020892: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 13
(((x div ((2 + 2) + 1)) * (x + 1)) mod 2)
A144197: 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0
((((x div (2 + 2)) + 1) * (x + 1)) + 2)
A154664: 3 4 5 6 12
((((x div (2 + 2)) + 1) * (x + 1)) mod 2)
A236677-A190236: 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0
(2 - (((x div (0 - 2)) * (x + 1)) div 2))
A050679: 2 3 4 6 7 11
(((((2 + 2) * 2) * 2) mod (x + 1)) mod 2)
A285139: 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0
((((x - (2 + 2)) * 2) mod (x + 1)) mod 2)
A342845-A180160-A045887-A011724: 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0
(((((x + 2) + 2) + 2) * (x + 1)) div 2)
A141214: 3 7 12 18 25 33 42 52 63 75 88 102 117 133 150 168
((((x * x) div (2 + 2)) mod (x + 1)) mod 2)
A069846-A069843: 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0
(((((x * x) div 2) + 2) mod (x + 1)) mod 2)
A288106: 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0
(x - (((x div 2) - (2 div (x + 1))) div 2))
A060151: 1 2 2 3 3 4 5 6 6 7 8 9 9 10 11 12
(((((x - 2) * x) - 2) * (x + 1)) - 2)
A153258: ~4 ~8 ~8 2 28 76 152 262 412 608 856 1162 1532 1972 2488 3086
((((x - 2) mod (x + 2)) * (x + 1)) div 2)
A175631: 0 2 0 2 5 9 14 20 27 35 44 54 65 77 90 104
((x * 2) - (((x div 2) * (x + 1)) mod 2))
A047403: 0 2 3 6 8 10 11 14 16 18 19 22 24 26 27 30
((((x * x) - (x div 2)) * (x + 1)) div 2)
A220788: 0 1 4 16
((x div ((2 + 2) + 1)) + ((x + 1) * 2))
A276383-A094390: 2 4 6 8 10 13 15 17 19 21 24 26 28 30 32 35
(((x div 2) div (2 + 1)) + ((x + 1) * 2))
A292651: 2 4 6 8 10 12 15 17 19 21 23 25 28 30 32 34
((((x + 1) div 2) div 2) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A252169: 2 4 6 9 11 13 15 18 20 22 24 27 29 31 33 36
((x div ((2 + 2) * 2)) + ((x + 1) * 2))
A249124-A094041: 2 4 6 8 10 12 14 16 19 21 23 25 27 29 31 33
(x - ((x div (2 + 2)) - ((x + 1) * 2)))
A330144-A329924-A292988-A187341-A108589: 2 5 8 11 13 16 19 22 24 27 30 33 35 38 41 44
(((x * x) div (2 + 2)) + ((x + 1) * 2))
A014616: 2 4 7 10 14 18 23 28 34 40 47 54 62 70 79 88
((((x div 2) + x) + 1) * ((x + 1) div 2))
A152749: 0 2 4 10 14 24 30 44 52 70 80 102 114 140 154 184
(1 - ((x - ((x * x) * (x + 1))) div 2))
A181490: 1 2 6 18
(((((x * x) + 1) div 2) * (x - 1)) div 2)
A212561: 0 0 1 5 12 26 45 75 112 164 225 305 396 510 637 791
(((2 + 2) * (x + 1)) + ((x - 1) div 2))
A190368: 3 8 12 17 21 26 30 35 39 44 48 53 57 62 66 71
(((x div (2 + 1)) * 2) - ((x - 1) div 2))
A008612: 1 0 0 1 1 0 2 1 1 2 2 1 3 2 2 3
(2 div (((2 + 2) * 2) - ((x - 1) div 2)))
A340001: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2
(x - ((((2 - x) * x) * (x - 1)) div 2))
A060354: 0 1 2 6 16 35 66 112 176 261 370 506 672 871 1106 1380
(1 - (x mod ((((1 - x) * x) - 1) * 2)))
A116735: 1 2 5 12 23 38 57 80 107 138 173 212 255 302 353 408
(((((2 + 2) * 2) + (x * x)) + 1) * 2)
A255848: 18 20 26 36 50 68 90 116 146 180 218 260 306 356 410 468
((((x div (2 + 2)) + (x * x)) + 1) div 2)
A192225: 0 1 2 5
A120615: 0 1 2 5 9 13 19 25 33 42 51 62 74 86 100 114
(((((x div 2) mod 2) + (x * x)) + 1) div 2)
A104563: 0 1 3 5 8 13 19 25 32 41 51 61 72 85 99 113
((((x * x) * x) * ((x * x) + 1)) div 2)
A168178: 0 1 20 135 544 1625 3996 8575 16640 29889 50500 81191 125280 186745 270284 381375
((((x * x) * x) * ((x * x) - 1)) div 2)
A321672: 0 0 12 108 480 1500 3780 8232 16128 29160 49500 79860 123552 184548 267540 378000
(((x div ((2 + 2) + 1)) div (0 - 2)) mod 2)
A023971: 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0
((x - (x div ((2 + 2) * (0 - 2)))) div 2)
A100679: 0 1 1 2 2 3 3 4 4 5 6 6 7 7 8 8
(x - (((x div (2 + 2)) div (0 - 2)) * 2))
A039141-A008541: 0 1 2 3 6 7 8 9 10 11 12 13 16 17 18 19
((x - ((x div (2 + 2)) div (0 - 2))) div 2)
A214672: 0 0 1 1 2 3 3 4 4 5 5 6 7 7 8 8
((x + 2) - (((x div 2) div (0 - 2)) div 2))
A081023: 2 3 5 6 7 8 9 10 11 12 14 15 16 17 18 19
(((x * 2) * 2) - (x div ((0 - 2) - 2)))
A004958: 0 5 9 13 17 22 26 30 34 39 43 47 51 56 60 64
((((x div (2 + 2)) + x) div (0 - 2)) mod 2)
A171587: 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1
(((1 - x) mod (2 - (x div (0 - 2)))) mod 2)
A088592: 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0
((x + 2) - (x div ((x div (0 - 2)) - 2)))
A139143: 2 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19
(((((x + 1) div (2 + 1)) + 1) * 2) * 2)
A105675: 4 4 8 8 8 12 12 12
(((((2 + 2) * (x + 1)) - 1) * 2) * 2)
A158953-A098502: 12 28 44 60 76 92 108 124 140 156 172 188 204 220 236 252
(((((x * 2) * (x + 1)) + 1) * 2) * 2)
A108099: 4 20 52 100 164 244 340 452 580 724 884 1060 1252 1460 1684 1924
(x - (((x div ((0 - 2) - 1)) * 2) * 2))
A047320: 0 5 6 7 12 13 14 19 20 21 26 27 28 33 34 35
(x - (((((2 + 1) * 2) + 1) * 2) * 2))
A023470: ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14 ~13
(2 - (x - ((((2 + 2) + 1) * 2) * 2)))
A022978: 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7
((x * x) mod ((((2 + 2) + 1) * 2) * 2))
A070643-A070442: 0 1 4 9 16 5 16 9 4 1 0 1 4 9 16 5
(x mod ((x mod (((2 + 2) + 1) * 2)) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A141022: 0 1 2 3 4 5 6 7 8 9 0 2 0 3 2 1
(x - (((x div ((2 + 2) + 1)) * 2) * 2))
A053824: 0 1 2 3 4 1 2 3 4 5 2 3 4 5 6 3
((x - ((x div ((2 + 2) + 1)) * 2)) * 2)
A230865: 0 2 4 6 8 6 8 10 12 14 12 14 16 18 20 18
((x div ((x mod ((2 + 2) + 1)) + 2)) mod 2)
A037814-A011710: 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1
((x - (((x div (2 + 2)) - 1) div 2)) mod 2)
A344649: 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0
(x mod ((((x - 1) div (2 + 1)) mod 2) + 2))
A328616-A260736: 0 1 0 1 1 2 0 1 0 1 1 2 0 1 0 1
(((((x div 2) + 2) * (2 + 1)) div 2) div 2)
A108356: 1 1 2 2 3 3 3 3 4 4 5 5 6 6 6 6
(x mod ((((x - 2) div (2 + 1)) mod 2) + 2))
A341514-A276084-A230403-A168570: 0 1 0 1 0 2 0 1 0 1 0 2 0 1 0 1
(x - ((((x div 2) div (2 + 1)) * 2) * 2))
A329243-A215089-A094937: 0 1 2 3 4 5 2 3 4 5 6 7 4 5 6 7
(((x - ((x div 2) div (2 + 1))) div 2) * 2)
A202103: 0 0 2 2 4 4 4 6 6 8 8 10
(x - ((((1 - x) div (2 + 1)) * 2) * 2))
A047275: 0 1 6 7 8 13 14 15 20 21 22 27 28 29 34 35
(((x - ((1 - x) div (2 + 1))) * 2) * 2)
A267958: 0 4 12 16 20 28 32 36 44 48 52 60 64 68 76 80
(((x * 2) mod ((x div (2 + 1)) + 2)) mod 2)
A309163-A104853: 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0
((x * 2) div (((x div (2 + 1)) + 2) + 2))
A099396: 0 0 1 1 1 2 2 2 2 2 2 3 3 3 3 3
(((x * x) mod ((x div (2 + 1)) + 2)) div 2)
A319687-A085861: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0
((x div (x - ((x mod (2 + 1)) + 2))) mod 2)
A115517: 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1
((x mod (2 - ((x mod (2 + 1)) div 2))) + 2)
A244228: 2 3 2 3 2 2 2 3 2 3 2 2 2 3 2 3
((((((x + 1) * x) div 2) + 1) div 2) * 2)
A192447: 0 2 4 6 10 16 22 28 36 46 56 66 78 92 106 120
(((((x - 2) * (x - 2)) + 1) * 2) * 2)
A128445: 20 8 4 8 20 40 68 104 148 200 260 328 404 488 580 680
((((2 - x) mod ((x * 2) + 1)) div 2) div 2)
A091373-A056172: 0 0 0 1 1 2 2 2 2 3 3 3 3 4 4 4
((((((2 + 2) + 1) * x) + 1) * 2) * 2)
A139245: 4 24 44 64 84 104 124 144 164 184 204 224 244 264 284 304
(((((x div (2 + 2)) + x) + 1) div 2) div 2)
A301461: 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 4
(((((2 + 1) * 2) mod (x + 1)) mod 2) * 2)
A178926: 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0
(((((1 - x) div 2) mod (x + 1)) div 2) mod 2)
A271591: 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0
(((((x * x) div 2) mod (x + 1)) mod 2) + 2)
A081147: 2 2 2 2 3 2 2 2 3 2 2 2 3 2 2 2
((((x div 2) + x) + ((x + 1) * 2)) * 2)
A113804: 4 10 18 24 32 38 46 52 60 66 74 80 88 94 102 108
(((((x div 2) + 1) * (x - 1)) div 2) + 2)
A323383: 1 2 3 4 6 8 12
((x div (2 + 1)) - (((x - 1) div 2) div 2))
A008679: 1 0 0 1 1 0 1 1 1 1 1 1 2 1 1 2
(((((x - 2) * x) * (x - 1)) div 2) div 2)
A011886: 0 0 0 1 6 15 30 52 84 126 180 247 330 429 546 682
(x - ((((x div 2) div (0 - 2)) div 2) * 2))
A039128: 0 1 4 5 6 7 8 9 10 11 14 15 16 17 18 19
((x * 2) - ((x mod ((0 - 2) - 2)) div 2))
A047492: 0 4 5 7 8 12 13 15 16 20 21 23 24 28 29 31
((((x * x) - (x div (0 - 2))) div 2) + 2)
A125621: 2 3 4 7 11 16
((((x mod ((2 + 2) + 1)) div 2) div 2) + 2)
A217619: 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2
((((((x * 2) * 2) + 1) * 2) * 2) * 2)
A305075: 8 40 72 104 136 168 200 232 264 296 328 360 392 424 456 488
(((x mod ((x div (2 + 1)) + 2)) div 2) div 2)
A339172-A323514-A302047-A284261-A278701-A239705-A229660-A188300-A122840-A102683-A086075-A086016-A083910-A056976-A044940-A037878-A037860-A037825-A026830-A026803-A025468-A025465-A025462: 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
(((x - ((x mod (2 + 1)) div 2)) div 2) div 2)
A294235: 0 0 0 0 1 1 1 1 1 2 2 2 3 3 3 3
(x div ((((x mod (2 + 1)) mod 2) + 2) + 2))
A089050: 0 0 0 0 0 1 1 1 2 2 2 2 3 2 3 3
((((((x div 2) + x) + 1) * 2) * 2) * 2)
A259751: 8 16 32 40 56 64 80 88 104 112 128 136 152 160 176 184
(((((x + 2) * (x + 1)) div 2) div 2) + 2)
A039825: 2 3 5 7 9 12 16 20 24 29 35 41 47 54 62 70
((x mod ((x mod ((0 - 2) - 2)) - 2)) mod 2)
A037913: 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0
((x - ((((x + 1) div 2) div 2) div 2)) mod 2)
A191152: 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1
((x mod ((((x - 1) div 2) mod 2) + 2)) mod 2)
A283318: 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0
((((((x * 2) * 2) * 2) * 2) * 2) * 2)
A152691: 0 64 128 192 256 320 384 448 512 576 640 704 768 832 896 960
(((x mod (1 - ((2 + 2) * 2))) div 2) mod 2)
A191162: 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1
(2 - (x - ((((2 + 2) * 2) * 2) * 2)))
A022990: 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19
((x * x) div ((((2 + 2) * 2) * 2) * 2))
A011881: 0 0 0 0 0 0 1 1 2 2 3 3 4 5 6 7
((x * x) mod ((((2 + 2) * 2) * 2) * 2))
A070454: 0 1 4 9 16 25 4 17 0 17 4 25 16 9 4 1
((x div ((x div ((2 + 2) * 2)) - 2)) mod 2)
A057215: 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 1
((x div ((x mod ((2 + 2) * 2)) + 2)) mod 2)
A049986: 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1
((x mod (((x div (2 + 2)) mod 2) + 2)) div 2)
A302049-A078926: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0
((x div (((x div (2 + 2)) mod 2) - 2)) mod 2)
A286049: 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1
(x div ((((x mod (2 + 2)) + 2) * 2) * 2))
A035694: 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0
(((((x * x) * (2 + 2)) * 2) * 2) * 2)
A244082: 0 32 128 288 512 800 1152 1568 2048 2592 3200 3872 4608 5408 6272 7200
((x mod ((((x mod 2) + 2) + 2) + 2)) mod 2)
A268384: 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1
((((x mod ((x mod 2) + 2)) div 2) + 2) + 2)
A091844: 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4
(x - ((((x div 2) mod (2 + 2)) * 2) * 2))
A320283: 0 1 ~2 ~1 ~4 ~3 ~6 ~5 8 9 6 7 4 5 2 3
(1 - (x div ((1 - ((2 + 2) * 2)) * 2)))
A204562: 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
((x * x) - ((1 - ((2 + 2) * 2)) * 2))
A114962: 14 15 18 23 30 39 50 63 78 95 114 135 158 183 210 239
(((x - 1) * x) div (((2 + 2) * 2) * 2))
A011869: 0 0 0 0 0 1 1 2 3 4 5 6 8 9 11 13
(x - (2 div (x - (((2 + 2) * 2) * 2))))
A339889-A337379-A337138-A330938-A323035-A297289-A296759-A288139-A253781-A209061-A194897-A178210-A123093-A121684-A121176-A115105-A115063-A097745-A046100-A044965-A044920-A044827-A043719-A037144-A033067-A032965-A022766-A013938: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17
(((x * x) * x) mod (((2 + 2) * 2) * 2))
A070478: 0 1 8 11 0 13 8 7 0 9 8 3 0 5 8 15
((((x + 1) * x) + ((2 + 2) * 2)) + 2)
A187710: 10 12 16 22 30 40 52 66 82 100 120 142 166 192 220 250
(x - (((2 - x) div ((2 + 2) * 2)) - 2))
A302058: 2 3 4 6 7 8 9 10 11 12 13 15 16 17 18 19
(x - (((2 - x) div ((2 + 2) * 2)) * 2))
A192225: 0 1 2 5
A039135: 0 1 2 5 6 7 8 9 10 11 12 15 16 17 18 19
((((x + 2) * x) * ((2 + 2) * 2)) * 2)
A114444: 0 48 128 240 384 560 768 1008 1280 1584 1920 2288 2688 3120 3584 4080
(((x div 2) - (x div ((2 + 2) * 2))) mod 2)
A284487-A269723: 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0
(((x - ((2 - x) div (2 + 2))) div 2) mod 2)
A273129: 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1
(((((x div 2) + x) div (2 + 2)) + 2) + 2)
A134992: 4 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9
(((x - 2) div ((x div (2 + 2)) + 2)) + 2)
A218461-A186189-A083375: 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4
(((x - 2) div ((x div (2 + 2)) + 2)) mod 2)
A138149: 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0
(((x * 2) mod ((x div (2 + 2)) + 2)) mod 2)
A324824: 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0
((x * 2) div (((x div (2 + 2)) + 2) + 2))
A342882-A052146: 0 0 1 1 1 2 2 2 2 3 3 3 3 3 4 4
(((1 - x) div ((x div (2 + 2)) + 2)) mod 2)
A138150: 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1
(((x * 2) - ((x div (2 + 2)) mod 2)) + 2)
A225773: 2 4 6 8 9 11 13 15 18 20 22 24 25 27 29 31
(((x div 2) - ((x div (2 + 2)) mod 2)) div 2)
A173711: 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 3
((x mod 2) - (((x div (2 + 2)) mod 2) * 2))
A318702: 0 1 0 1 ~2 ~1 ~2 ~1 0 1 0 1 ~2 ~1 ~2 ~1
(1 - (((x - (x div (2 + 2))) mod 2) * 2))
A143431-A112865: 1 ~1 1 ~1 ~1 1 ~1 1 1 ~1 1 ~1 ~1 1 ~1 1
(((x + 1) mod ((x mod (2 + 2)) + 2)) mod 2)
A102863: 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1
(((x * x) div (((x + 2) + 2) * 2)) mod 2)
A037811: 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1
(x - ((((2 - (x div 2)) div 2) div 2) * 2))
A039150-A008539: 0 1 2 3 4 5 8 9 10 11 12 13 14 15 18 19
(((x - ((2 - (x div 2)) div 2)) div 2) + 2)
A309077-A247908: 1 2 3 3 4 4 5 6 6 7 8 8 9 9 10 11
((((x - 2) mod ((x div 2) + 2)) div 2) div 2)
A027352: 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1
((((x - 2) mod ((x div 2) + 2)) div 2) mod 2)
A174793: 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0
((x - (x mod (((x div 2) mod 2) - 2))) * 2)
A282939: 0 4 4 6 8 12 12 14 16 20 20 22 24 28 28 30
(((((x * x) + (x div 2)) div 2) div 2) mod 2)
A080887: 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0
((((x - 2) mod ((x mod 2) + 2)) + 2) * 2)
A155874: 4 8 4 6 4 4 4 8 4 6 4 4 4 8 4 6
((x mod (1 - (((x mod 2) + 2) * 2))) mod 2)
A211225: 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0
(1 - ((x + 1) mod (1 - ((2 + 2) * 2))))
A309909: 7 6 5 4 3 2 1 7 6 5 4 3 2 1 7 6
(x - ((x + 2) div (1 - ((2 + 2) * 2))))
A292638-A059561: 1 2 3 4 5 6 8 9 10 11 12 13 14 16 17 18
(0 - ((x * x) div (1 - ((2 + 2) * 2))))
A036405: 0 1 1 2 3 4 6 7 10 12 15 18 21 25 28 33
(x mod (x - ((x - 1) mod ((2 + 2) * 2))))
A307629-A257849-A239092-A143288-A138953-A131242-A093882-A088118-A053392-A037886-A037850: 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6
((((x div 2) - 1) div 2) + ((2 + 2) * 2))
A108186: 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11
((((x + 1) * x) div 2) mod ((2 + 2) * 2))
A105332: 0 1 3 6 2 7 5 4 4 5 7 2 6 3 1 0
(x - (2 div ((x div 2) - ((2 + 2) * 2))))
A343822-A331995-A324109-A322911-A322901-A321291-A320230-A318991-A317294-A303550-A285801-A247160-A179892-A164563-A080944-A076564-A061773: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17
(((2 - x) - (x div 2)) mod ((2 + 2) * 2))
A078301: 2 1 7 6 4
((((x div 2) + 2) * x) div ((2 + 2) * 2))
A060407: 0 0 0 1 2 2 3 4 6
(1 - (((x div 2) + x) div ((2 + 2) * 2)))
A343190: 1 1 1 1 1 1 0 0 0 0 0 ~1 ~1 ~1 ~1 ~1
(((x div 2) mod 2) - (x div ((2 + 2) * 2)))
A131852: 0 0 1 1 0 0 1 1 ~1 ~1 0 0 ~1 ~1 0 0
(x - (((1 - x) * x) * ((2 + 2) * 2)))
A051870: 0 1 18 51 100 165 246 343 456 585 730 891 1068 1261 1470 1695
(x - (((1 - x) * x) div ((2 + 2) * 2)))
A135251: 0 1 3 4 6 8 10
A024182: 0 1 3 4 6 8 10 13 15 18 22 25 29 33 37 42
(((x * x) * (x * x)) div ((2 + 2) * 2))
A212714: 0 0 2 10 32 78 162 300 512 820 1250 1830 2592 3570 4802 6328
(0 - (x div (((2 - x) div (2 + 2)) - 2)))
A178786-A000196: 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3
(1 - (x div (((2 - x) div (2 + 2)) - 2)))
A088519-A003059: 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4
(x - (x div (((2 - x) div (2 + 2)) - 2)))
A028392: 0 2 3 4 6 7 8 9 10 12 13 14 15 16 17 18
((x - (((x div 2) + x) div (2 + 2))) div 2)
A029917: 0 0 1 1 1 2 2 2 2 3 3 3 4 4 4 5
(2 - ((1 - x) div ((x div (2 + 2)) + 2)))
A182009: 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5
(x - ((1 - x) div ((x div (2 + 2)) + 2)))
A058986: 0 1 3 4 5 7 8 9 10 11 13 14 15 16 17 18
(((x + 1) mod 2) - ((x div (2 + 2)) mod 2))
A116510: 1 0 1 0 0 ~1 0 ~1 1 0 1 0 0 ~1 0 ~1
((((x div 2) + x) + (x div (2 + 2))) + 2)
A047331: 2 3 5 6 9 10 12 13 16 17 19 20 23 24 26 27
((x - (((1 - x) * x) * (2 + 2))) * 2)
A139271: 0 2 20 54 104 170 252 350 464 594 740 902 1080 1274 1484 1710
(x - ((x div (((1 - x) div 2) - 2)) - 2))
A103838: 2 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19
(x - (((((x mod 2) - x) - 2) * 2) * 2))
A057104: 8 9 18 19 28 29 38 39 48 49 58 59 68 69 78 79
((x mod ((((x mod 2) * x) div 2) + 2)) div 2)
A302643: 0 0 0 0 0 0 0 1 0 1 0 2 0 2 0 3
(((((x + 2) + 1) * (x + 2)) div 2) div 2)
A054040: 1 3 5 7 10 14 18 22 27 33 39 45 52 60 68 76
((((1 - (x div 2)) mod (x + 2)) div 2) div 2)
A130635: 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2
((((x * x) - 2) div ((x + 2) + 2)) + 2)
A095394: 1 1 2 3 3 4 5 6 7 8 9 9 10 11 12 13
((((x * x) - 2) div ((x + 2) + 2)) mod 2)
A168030: 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1
((((x + 2) * x) * ((x + 2) + 2)) + 2)
A212836: 2 17 50 107 194 317 482 695 962 1289 1682 2147 2690 3317 4034 4847
((x - ((x * x) div ((x + 2) + 2))) div 2)
A111857: 0 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2
(((((x - 1) * x) div (x + 2)) mod 2) + 2)
A343902: 2 2 2 3 2 2 3 2 3 2 3 2 3 2 3 2
(x - ((((2 - x) div (x + 2)) - 2) - 2))
A133043: 3 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20
((x - (((2 - x) div (x + 2)) - 2)) * 2)
A209249: 2 6 8 12 14 16 18 20 22 24 26 28 30 32 34 36
(((((x * x) div 2) * (x - 2)) div 2) div 2)
A111384: 0 0 0 1 4 9 18 30 48 70 100 135 180 231 294 364
((((x div 2) + x) + ((x * 2) * 2)) + 2)
A168465: 2 7 13 18 24 29 35 40 46 51 57 62 68 73 79 84
((((2 mod (x + 1)) + (x div 2)) div 2) + 2)
A102515: 2 2 3 3 4 4 4 4 5 5 5 5 6 6 6 6
(((((x - 1) div 2) * (x div 2)) div 2) div 2)
A011870: 0 0 0 0 0 1 1 2 3 4 5 6 7 9 10 12
(((((x div 2) + 2) * (x div 2)) div 2) div 2)
A038716: 0 0 0 0 2 2 3 3 6 6 8 8 12 12 15 15
(((x - (2 + 2)) div ((x div 2) + 2)) + 2)
A329195: 0 0 1 1 2 2 2 2 2 2 2 3 3 3 3 3
((((2 - x) + 2) mod ((x div 2) + 2)) mod 2)
A189212: 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1
(x mod (((x - 2) div ((x div 2) + 2)) + 2))
A215590: 0 0 0 1 0 1 0 1 2 0 1 2 0 1 2 0
((((x * x) * 2) mod ((x div 2) + 2)) mod 2)
A293162-A186734-A185644-A115790-A025460: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0
(((x * 2) * 2) div (((x div 2) + 2) + 2))
A263089: 0 1 1 2 2 3 3 4 4 4 4 4 4 5 5 5
(((x div 2) + x) div (((x div 2) + 2) + 2))
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((((2 + 1) * x) mod ((x div 2) + 2)) div 2)
A164089: 0 0 0 0 0 1 1 0 0 1 1 2 2 3 3 0
(x - (((1 - x) div ((x div 2) + 2)) - 2))
A145397: 2 3 5 6 7 8 9 11 12 13 14 15 16 17 18 19
((x - ((1 - x) mod ((x div 2) + 2))) mod 2)
A267869: 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1
((((x - 1) * x) mod ((x div 2) + 2)) mod 2)
A337542-A336432-A280829-A070138-A051516-A046783-A035675: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1
((((1 - x) * x) mod ((x div 2) + 2)) mod 2)
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(((1 - (x * x)) mod ((x div 2) + 2)) mod 2)
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((((x * x) * x) + ((x div 2) + 2)) * 2)
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((x * 2) - (x mod (((x div 2) mod 2) - 2)))
A047414: 0 3 4 6 8 11 12 14 16 19 20 22 24 27 28 30
((((x + 1) * x) - ((x div 2) mod 2)) div 2)
A192225: 0 1 2 5
A215098: 0 1 2 5 10 15 20 27 36 45 54 65 78 91 104 119
((((x + 2) * x) + ((x div 2) mod 2)) div 2)
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((((x div 2) + x) * ((x div 2) mod 2)) div 2)
A131742: 0 0 1 2 0 0 4 5 0 0 7 8 0 0 10 11
((x - (((2 - x) * (x div 2)) - 2)) * 2)
A078785-A053016: 4 6 8 12 20
(x div (((x + 1) div ((x mod 2) + 2)) + 2))
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(1 - ((2 - x) div (((x mod 2) + 2) + 2)))
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(x - ((2 - x) div (((x mod 2) + 2) + 2)))
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A039187-A001963: 0 1 2 4 5 6 7 8 10 11 12 13 15 16 17 18
((x - 1) mod ((x mod ((x mod 2) + 2)) + 2))
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(((x div 2) + x) - (((x mod 2) - 2) * 2))
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((x * 2) - (x mod (((x mod 2) - 2) * 2)))
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(x - (((x - ((x * x) * 2)) * 2) * 2))
A139273: 0 5 26 63 116 185 270 371 488 621 770 935 1116 1313 1526 1755
((((x * x) + 2) div (2 + 1)) mod (2 + 2))
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(((((2 - x) div 2) - x) + 1) mod (2 + 2))
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((((x + 1) * x) div (0 - 2)) mod (2 + 2))
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((((x + 2) * (x + 1)) div 2) mod (2 + 2))
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(((((2 + 1) * 2) + 1) * x) * (2 + 2))
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(((((x * 2) * 2) - 1) * x) * (2 + 2))
A104188: 0 12 56 132 240 380 552 756 992 1260 1560 1892 2256 2652 3080 3540
((((1 - x) mod (2 + 1)) - x) mod (2 + 2))
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(x - (((x mod (2 + 1)) - x) * (2 + 2)))
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(1 - (((x mod (2 + 1)) - x) div (2 + 2)))
A246435: 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5
((((x * x) * (2 + 1)) + x) div (2 + 2))
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A330707: 0 1 3 7 13 20 28 38 50 63 77 93 111 130 150 172
((((x * x) * (2 + 1)) - x) * (2 + 2))
A014642: 0 8 40 96 176 280 408 560 736 936 1160 1408 1680 1976 2296 2640
((((x * x) * (2 + 1)) - x) div (2 + 2))
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((((x * x) mod (2 + 1)) + x) div (2 + 2))
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(((((x * x) * 2) - 1) * x) * (2 + 2))
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(((((x * x) div 2) + 1) * x) * (2 + 2))
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((x * x) - (((x + 1) * x) div (2 + 2)))
A340648: 0 1 3 6 11 18 26 35 46 59 73 88 105 124 144 165
(((x * 2) * 2) - ((2 - x) div (2 + 2)))
A004938: 0 4 8 13 17 21 25 30 34 38 42 47 51 55 59 64
(((((2 + 1) * x) + 2) * x) div (2 + 2))
A006578: 0 1 4 8 14 21 30 40 52 65 80 96 114 133 154 176
(((((2 + 1) * x) - 2) * x) * (2 + 2))
A153794: 0 4 32 84 160 260 384 532 704 900 1120 1364 1632 1924 2240 2580
(((x - ((2 - x) * 2)) * x) div (2 + 2))
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(((((x div 2) * x) mod 2) * x) div (2 + 2))
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((x * 2) - (((x div 2) + x) div (2 + 2)))
A004956: 0 2 4 5 7 9 10 12 13 15 17 18 20 22 23 25
(((x div (2 + 2)) + 1) * (x div (2 + 2)))
A038714: 0 0 0 0 2 2 2 2 6 6 6 6 12 12 12 12
(((x * 2) * (2 + 1)) + (x div (2 + 2)))
A172331: 0 6 12 18 25 31 37 43 50 56 62 68 75 81 87 93
(((2 + 2) * (x + 1)) + (x div (2 + 2)))
A190885: 4 8 12 16 21 25 29 33 38 42 46 50 55 59 63 67
((((x + 1) div 2) div 2) * (x div (2 + 2)))
A008217: 0 0 0 0 1 1 1 2 4 4 4 6 9 9 9 12
(x - compr(\x.((x div 2) mod 2),(x div (2 + 2))))
A273004-A029931: 0 1 2 3 3 4 5 6 4 5 6 7 7 8 9 10
(((x div (2 + 2)) + 1) * (x mod (2 + 2)))
A194745: 0 1 2 3 0 2 4 6 0 3 6 9 0 4 8 12
(((((x * x) - 1) * x) * x) div (2 + 2))
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(((x + 1) * x) - ((x * x) div (2 + 2)))
A001859: 0 2 5 10 16 24 33 44 56 70 85 102 120 140 161 184
(x - (((1 - (x * x)) * x) * (2 + 2)))
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((((x div ((2 + 2) + 1)) + x) + 2) * 2)
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(((((x div 2) * (2 + 1)) + x) + 2) * 2)
A090773: 4 6 14 16 24 26 34 36 44 46 54 56 64 66 74 76
(((((x div 2) div (2 + 1)) + x) + 2) * 2)
A242396: 4 6 8 10 12 14 18 20 22 24 26 28 32 34 36 38
(((x * x) mod (((2 + 1) * x) - 2)) mod 2)
A219558: 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0
(((((x mod (2 + 1)) div 2) - x) div 2) mod 2)
A241979: 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 0
((((((x * x) + 1) div 2) * x) div 2) * 2)
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(x - (((((x div 2) mod 2) - x) div 2) - 2))
A340932: 2 4 5 6 8 10 11 12 14 16 17 18 20 22 23 24
(x - (((((x div 2) mod 2) - x) div 2) * 2))
A047599: 0 3 4 5 8 11 12 13 16 19 20 21 24 27 28 29
((x - ((((x div 2) mod 2) - x) div 2)) * 2)
A157932: 0 4 6 8 12 16 18 20 24 28 30 32 36 40 42 44
((((x mod ((x mod 2) + 2)) * x) div 2) mod 2)
A156659: 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0
((1 mod (((2 - (x div 2)) * x) + 2)) mod 2)
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(x div ((2 - (((x div 2) * x) mod 2)) * 2))
A130845: 0 0 0 1 1 1 1 3 2 2 2 5 3 3 3 7
(((x * 2) - (((x div 2) * x) mod 2)) + 2)
A047510: 2 4 6 7 10 12 14 15 18 20 22 23 26 28 30 31
(((2 - x) div (((x mod 2) * x) + 2)) mod 2)
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(x - ((2 - (((x mod 2) * x) div 2)) div 2))
A063281: ~1 0 1 3 3 5 5 8 7 10 9 13 11 15 13 18
((((x * x) + (2 + 1)) * (x + 2)) div 2)
A307457: 3 6 14 30
(((((2 + 1) * x) + 1) * (x + 2)) div 2)
A095794: 1 6 14 25 39 56 76 99 125 154 186 221 259 300 344 391
(((x div ((0 - 2) - 2)) mod (x + 2)) div 2)
A189663: 0 1 1 2 2 2 3 3 4 4 4 5 5 5 6 6
(((((x mod 2) * x) + 2) * (x + 2)) div 2)
A225232: 2 4 4 12 6 24 8 40 10 60 12 84 14 112 16 144
(x - ((2 - ((x + 2) * (x + 2))) div 2))
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((((x + 1) * x) + 1) div ((x + 2) + 2))
A238401: 0 0 1 1 2 3 4 5 6 7 7 8 9 10 11 12
(x - (((x * x) + 1) div ((x + 2) + 2)))
A244160: 0 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4
((((x + 2) * 2) + x) * ((x + 2) + 2))
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(((x div 2) * (2 + 1)) + ((x + 2) * 2))
A047288: 4 6 11 13 18 20 25 27 32 34 39 41 46 48 53 55
((((x div 2) - (x * x)) div (x + 2)) mod 2)
A204175: 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1
((x - (((2 - x) * x) * (x - 2))) div 2)
A162607: 0 1 1 3 10 25 51 91 148 225 325 451 606 793 1015 1275
(x - (((x * x) mod (1 - (x * 2))) * 2))
A123168: 0 1 6 5 14 9 22 13 30 17 38 21 46 25 54 29
(((x * 2) div (2 + 1)) + ((x * 2) * 2))
A228177: 0 4 9 14 18 23 28 32 37 42 46 51 56 60 65 70
((((x + 1) * x) div 2) + ((x * 2) * 2))
A056000: 0 5 11 18 26 35 45 56 68 81 95 110 126 143 161 180
((((x - 1) * x) div 2) + ((x * 2) * 2))
A055999: 0 4 9 15 22 30 39 49 60 72 85 99 114 130 147 165
(((x div ((2 + 2) + 1)) * (x div 2)) mod 2)
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((((x - 2) div (2 + 1)) * (x div 2)) mod 2)
A226463: 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0
(1 - (((x div (2 + 1)) - (x div 2)) div 2))
A257474-A257317: 1 1 2 1 2 2 2 2 2 2 2 2 2 2 3 2
(((((x + 1) div 2) div 2) * (x div 2)) mod 2)
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((2 div (((2 + 2) * 2) - (x div 2))) mod 2)
A225099-A065744: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0
((((2 - x) mod (2 + 2)) + (x div 2)) div 2)
A110659: 1 0 0 2 2 1 1 3 3 2 2 4 4 3 3 5
(((((x div 2) + x) div 2) * (x div 2)) mod 2)
A188472-A123740: 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1
(((2 + 2) * (x + 1)) div ((x div 2) + 2))
A108422: 2 4 4 5 5 6 5 6 6 6 6 6 6 7 6 7
((((x div 2) * x) * 2) div ((x div 2) + 2))
A091627: 0 0 1 2 4 5 7 8 10 12 14 15 18 19 21 23
(((x mod 2) + (x * 2)) div ((x div 2) + 2))
A078120: 0 1 1 2 2 2 2 3 2 3 2 3 3 3 3 3
((((x div 2) mod 2) + x) + ((x div 2) * 2))
A047439: 0 1 5 6 8 9 13 14 16 17 21 22 24 25 29 30
(((x * x) mod (2 + 1)) - ((x div 2) mod 2))
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(((x mod 2) * (x + 1)) + ((x div 2) mod 2))
A330602: 0 2 1 5 0 6 1 9 0 10 1 13 0 14 1 17
((x div ((2 + 2) * 2)) + ((x div 2) mod 2))
A139352: 0 0 1 1 0 0 1 1 1 1 2 2 1 1 2 2
((x * 2) - (x mod (2 - ((x div 2) mod 2))))
A047409: 0 1 4 6 8 9 12 14 16 17 20 22 24 25 28 30
(((((x div 2) mod 2) * x) + (x div 2)) div 2)
A134172: 0 0 1 2 1 1 4 5 2 2 7 8 3 3 10 11
(((x + 1) mod ((2 - x) - (x div 2))) mod 2)
A339825-A280596-A280126-A112345-A090677-A033183: 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0
((2 - (2 mod ((2 - x) - (x div 2)))) div 2)
A039960: 1 1 1 1 2 2 3 4 5 5 6 7 8 8 9 10
((((x + 1) mod (2 + 1)) - (x mod 2)) div 2)
A131533: 0 0 0 0 1 ~1 0 0 0 0 1 ~1 0 0 0 0
((x * 2) - (x mod ((2 - (x mod 2)) * 2)))
A192225: 0 1 2 5
A047620: 0 1 2 5 8 9 10 13 16 17 18 21 24 25 26 29
(((((x + 2) * x) * 2) - (x mod 2)) + 2)
A195605: 2 7 18 31 50 71 98 127 162 199 242 287 338 391 450 511
(((x div 2) div (2 + 1)) mod ((x mod 2) + 2))
A277150: 0 0 0 0 0 0 1 1 1 1 1 1 0 2 0 2
(((x div 2) - (x * 2)) div ((x mod 2) - 2))
A342131: 0 2 1 5 3 8 4 11 6 14 7 17 9 20 10 23
((x * 2) - ((x div 2) mod ((x mod 2) - 2)))
A047441: 0 2 5 6 8 10 13 14 16 18 21 22 24 26 29 30
(((x - 2) * x) - (x div ((x mod 2) - 2)))
A181995: 0 0 1 6 10 20 27 42 52 72 85 110 126 156 175 210
(((x * x) * (2 + 1)) - ((x mod 2) * 2))
A195143: 0 1 12 25 48 73 108 145 192 241 300 361 432 505 588 673
((x - ((2 mod (2 - (x * x))) - 2)) div 2)
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A212342: 1 1 2 5 9 14 20 27 35 44 54 65 77 90 104 119
((((x * x) * x) * ((x * x) div 2)) div 2)
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(((((2 + 2) * (2 + 1)) + 1) * x) + 2)
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(((((2 + 2) * (2 + 1)) + 1) * x) * 2)
A252994: 0 26 52 78 104 130 156 182 208 234 260 286 312 338 364 390
(((((2 + 2) * (2 + 1)) - 1) * x) * 2)
A008604: 0 22 44 66 88 110 132 154 176 198 220 242 264 286 308 330
(((((x + 2) * (2 + 1)) + 1) * x) div 2)
A140090: 0 5 13 24 38 55 75 98 124 153 185 220 258 299 343 390
(((((x + 2) * (2 + 1)) - 1) * x) div 2)
A115067: 0 4 11 21 34 50 69 91 116 144 175 209 246 286 329 375
(((((x * 2) * (2 + 1)) - 1) * x) * 2)
A126964: 0 10 44 102 184 290 420 574 752 954 1180 1430 1704 2002 2324 2670
(((((x * x) * (2 + 1)) - 1) * x) div 2)
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(((((2 + 2) * (x + 1)) - 1) * x) * 2)
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(((x div (((2 + 2) * 2) + 1)) + x) + 2)
A183223-A051882: 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18
(((x mod (((2 + 2) * 2) + 1)) + x) + 2)
A064806: 2 4 6 8 10 12 14 16 18 11 13 15 17 19 21 23
(((x mod (((2 + 2) * 2) + 1)) + x) div 2)
A245350: 0 1 2 3 4 5 6 7 8 4 5 6 7 8 9 10
((((((x + 2) + 2) * 2) + 1) * x) * 2)
A277979: 0 22 52 90 136 190 252 322 400 486 580 682 792 910 1036 1170
((((x + 1) div ((2 + 2) + 1)) + x) + 2)
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((((x * 2) div ((2 + 2) + 1)) + x) + 2)
A186275: 2 3 4 6 7 9 10 11 13 14 16 17 18 20 21 23
((((x * 2) div ((2 + 2) + 1)) + x) div 2)
A188511-A049472: 0 0 1 2 2 3 4 4 5 6 7 7 8 9 9 10
((((x div 2) div ((2 + 2) + 1)) + x) + 2)
A329138-A183224-A085235-A027855: 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18
((((x * x) div ((2 + 2) + 1)) + x) div 2)
A249013: 0 0 1 2 3 5 6 8 10 12 15 17 20 23 26 30
(((2 mod ((x div (2 + 2)) + 1)) + x) + 2)
A174908-A136399-A082757-A056167: 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19
(x - ((((x - 1) div (2 + 1)) - x) * 2))
A047284: 2 3 6 9 10 13 16 17 20 23 24 27 30 31 34 37
(((x div ((2 + 2) * (2 + 1))) + x) + 2)
A236866: 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18
((((x div (2 + 2)) * (2 + 1)) + x) + 2)
A047362: 2 3 4 5 9 10 11 12 16 17 18 19 23 24 25 26
(x - ((((x - 2) div (2 + 1)) - x) * 2))
A047323: 2 5 6 9 12 13 16 19 20 23 26 27 30 33 34 37
(((((x * x) div 2) div (2 + 1)) + x) div 2)
A253186-A160138: 0 0 1 2 3 4 6 7 9 11 13 15 18 20 23 26
(((((x + 2) * x) div (2 + 1)) + x) div 2)
A212555: 0 1 2 4 6 8 11 14 17 21 25
A339573: 0 1 2 4 6 8 11 14 17 21 25 29 34 39 44 50
((x * x) div (((x div (2 + 1)) + x) + 2))
A076874: 0 0 1 1 2 3 3 4 5 5 6 7 8 8 9 10
((2 mod (1 - ((x div (2 + 1)) * x))) mod 2)
A076754: 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0
((x mod (2 - ((x div (2 + 1)) * x))) mod 2)
A317542: 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0
(x - (1 mod (((x div (2 + 1)) * x) - 2)))
A177497: 1 2 3 3 3 4 5 6 7 8 9 10 11 12 13 14
(((((x * x) * (x + 2)) - 1) * x) div 2)
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(2 - (((2 div ((x div 2) + 1)) - x) div 2))
A027923: 1 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10
(x - ((((x * x) * x) * (1 - x)) div 2))
A101375: 0 1 6 30 100 255 546 1036 1800 2925 4510 6666 9516 13195 17850 23640
((((((2 + 2) + 1) * x) + 1) * x) div 2)
A005475: 0 3 11 24 42 65 93 126 164 207 255 308 366 429 497 570
((((((2 + 2) + 1) * x) - 1) * x) div 2)
A005476: 0 2 9 21 38 60 87 119 156 198 245 297 354 416 483 555
(x - (x mod (2 - (((x + 1) * x) div 2))))
A186752: 0 1 2 4 8 13 19 26 34 43 53
(((((x * x) * (x * x)) + 1) * x) div 2)
A021003: 0 1 17 123 514 1565 3891 8407 16388 29529 50005 80531 124422 185653 268919 379695
(((x mod (((2 + 2) + 1) * 2)) + x) div 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A081596-A028900: 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 10
((((x div ((2 + 2) + 1)) * 2) + x) + 2)
A047305: 2 3 4 5 6 9 10 11 12 13 16 17 18 19 20 23
(((((x div 2) div (2 + 1)) * 2) + x) + 2)
A047593: 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21
((((x mod ((x div 2) + 1)) div 2) + x) div 2)
A060143-A057365-A057363: 0 0 1 1 2 3 3 4 4 5 6 6 7 8 8 9
(x - (((((x div 2) - 1) div 2) - x) div 2))
A247431: 1 2 3 5 6 8 9 10 12 13 14 16 17 19 20 21
(x - ((((x div (0 - 2)) mod 2) - x) * 2))
A112652: 0 1 4 9 12 13 16 21 24 25 28 33 36 37 40 45
(((((x div (2 + 1)) * 2) * 2) + x) + 2)
A047339: 2 3 4 9 10 11 16 17 18 23 24 25 30 31 32 37
((((((x + 1) div 2) div 2) div 2) + x) + 2)
A302569: 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 19
((((((2 + 2) * 2) * 2) * 2) - x) - 2)
A327846-A022986: 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15
((((((x + 2) * 2) * 2) * 2) + x) * 2)
A099048: 32 50 68 86 104 122 140 158 176 194 212 230 248 266 284 302
(((x div (1 - ((2 + 2) * 2))) + x) + 2)
A289188: 2 2 3 4 5 6 7 8 8 9 10 11 12 13 14 14
(2 - (((x div ((2 + 2) * 2)) - x) div 2))
A177876: 2 3 3 4
A024745: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9
(((x div ((x div (2 + 2)) + 2)) + x) + 2)
A028729: 2 3 5 6 7 8 10 11 12 13 14 15
(((x div (((x div 2) + 2) + 2)) + x) + 2)
A324721-A305732-A183221-A072886: 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18
(((x mod (((x div 2) + 2) + 2)) * x) mod 2)
A288524: 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0
((((x - ((x div 2) mod 2)) div 2) + x) + 2)
A225731-A106577-A068577-A067290-A063450: 2 3 4 6 8 9 10 12 14 15 16 18 20 21 22 24
(((x - ((1 - x) * (2 + 2))) * x) * 2)
A152965: 0 2 24 66 128 210 312 434 576 738 920 1122 1344 1586 1848 2130
(((((x + 2) * x) + (2 + 2)) * x) + 2)
A221574: 2 9 26 59 114 197 314 471 674 929 1242 1619 2066 2589 3194 3887
(((((x div 2) + x) mod (2 + 2)) + x) + 2)
A236629: 2 4 7 5
(((x - ((1 - (x * 2)) * 2)) * x) + 2)
A295905: 2 5 18 41 74 117 170 233 306 389 482 585 698 821 954 1097
(((((x mod 2) + (x * 2)) * 2) + x) + 2)
A273669: 2 9 12 19 22 29 32 39 42 49 52 59 62 69 72 79
(((x - (x div ((x mod 2) - 2))) * x) div 2)
A088110: 0 1 3 9
A308422: 0 1 3 9 12 25 27 49 48 81 75 121 108 169 147 225
(x - ((x * x) div (x - ((2 - x) div 2))))
A330561: 0 0 0 1 1 2 2 3 3 3 3 4 4 5 5 5
((((((x + 2) + 1) * x) - 2) * x) div 2)
A256857: 0 1 8 24 52 95 156 238 344 477 640 836 1068 1339 1652 2010
((((((x * x) - 1) * x) + 2) * x) div 2)
A101374: 0 1 8 39 124 305 636 1183 2024 3249 4960 7271 10308 14209 19124 25215
(((((x div (2 + 2)) + x) div 2) + x) + 2)
A186322: 2 3 5 6 8 10 11 13 15 16 18 19 21 23 24 26
((2 - (2 mod (((2 - x) div 2) - x))) div 2)
A074183: 1 1 1 2 2 3 4 5 5 6 7 8 8 9 10 11
(((((2 + 2) + 1) * (x div 2)) + x) + 2)
A047358: 2 3 9 10 16 17 23 24 30 31 37 38 44 45 51 52
(((((2 + 2) + 1) * (x div 2)) + x) * 2)
A147832: 0 2 14 16 28 30 42 44 56 58 70 72 84 86 98 100
((x div (2 + 1)) - (((x div 2) * x) mod 2))
A230128: 0 0 0 0 1 1 2 1 2 3 3 2 4 4 4 4
((((2 + 2) * (2 + 1)) - 1) * (x + 2))
A096768: 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 187
((((x * x) * (2 + 1)) + 1) * (x + 2))
A179259: 2 12 52 140 294 532 872 1332 1930 2684 3612 4732 6062 7620 9424 11492
(((((x * x) div 2) + 2) + 1) div (x + 2))
A083055: 1 1 1 1 1 2 2 3 3 3 4 4 5 5 6 6
((1 - ((x * x) div (2 + 1))) mod (x + 2))
A092092: 1 1 0 3 2 0 5 3 0 7 4 0 9 5 0 11
(((((x + 2) + 2) * x) + 1) * (x + 2))
A058794: 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862
(1 - ((1 mod (1 - (x * 2))) div (x + 2)))
A101787: 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3
(((x - ((2 + 2) + 1)) * x) * (x + 2))
A126935: 0 ~12 ~24 ~30 ~24 0 48 126 240 396 600 858 1176 1560 2016 2550
(((((x + 1) * x) + 1) * x) * (x + 2))
A242604: 0 9 56 195 504 1085 2064 3591 5840 9009 13320 19019 26376 35685 47264 61455
((x div (((0 - 2) - 2) - 1)) + (x * 2))
A262770-A187318: 0 1 3 5 7 9 10 12 14 16 18 19 21 23 25 27
((x div (((2 + 2) * 2) + 1)) + (x * 2))
A058066: 0 2 4 6 8 10 12 14 16 19 21 23 25 27 29 31
(((x * 2) div ((2 + 2) + 1)) + (x * 2))
A175884: 0 2 4 7 9 12 14 16 19 21 24 26 28 31 33 36
((x div ((x div (2 + 2)) + 1)) + (x * 2))
A133006: 0 3 6 9 10 12 15
((2 div ((x mod (2 + 2)) + 1)) + (x * 2))
A047417: 2 3 4 6 10 11 12 14 18 19 20 22 26 27 28 30
((((x div 2) + 1) * (2 + 1)) + (x * 2))
A047389: 3 5 10 12 17 19 24 26 31 33 38 40 45 47 52 54
((x div ((0 - 2) * (2 + 1))) + (x * 2))
A276384-A272915-A158919: 0 1 3 5 7 9 11 12 14 16 18 20 22 23 25 27
(((x div ((2 + 2) + 1)) mod 2) + (x * 2))
A054683: 0 2 4 6 8 11 13 15 17 19 20 22 24 26 28 31
(((x mod ((x div 2) + 1)) div 2) + (x * 2))
A262773: 0 2 4 6 8 11 13 15 17 20 22 24 26 29 31 33
((((x + 2) * (x + 1)) div 2) + (x * 2))
A052905: 1 5 10 16 23 31 40 50 61 73 86 100 115 131 148 166
((((x mod 2) - (x div 2)) div 2) + (x * 2))
A047285: 0 2 3 6 7 9 10 13 14 16 17 20 21 23 24 27
(((x + 1) mod ((x mod 2) + 2)) + (x * 2))
A267027: 1 4 5 7 9 10 13 16 17 19 21 22 25 28 29 31
((((x div 2) - 2) * (x div 2)) + (x * 2))
A087279: 0 2 3 5 8 10 15 17 24 26 35 37 48 50 63 65
(x - ((2 div ((x * x) - 2)) - (x * 2)))
A011986: 1 5 5 9 12
(((((2 + 1) * 2) + 1) * x) * (x * 2))
A144555: 0 14 56 126 224 350 504 686 896 1134 1400 1694 2016 2366 2744 3150
(((((x div 2) * x) mod 2) + x) + (x * 2))
A319452: 0 3 6 10 12 15 18 22 24 27 30 34 36 39 42 46
(((((x div 2) + 1) * 2) + 1) * (x div 2))
A266440: 0 0 5 5 14 14 27 27 44 44 65 65 90 90 119 119
((2 mod ((x div (2 + 2)) + 1)) + (x div 2))
A147795: 0 0 1 1 2 2 3 3 6 6 7 7 8 8 9 9
((((x + 1) * 2) * (2 + 1)) + (x div 2))
A187391: 6 12 19 25 32 38 45 51 58 64 71 77 84 90 97 103
(x - ((((x mod 2) - x) + 1) * (x div 2)))
A131179: 0 1 3 4 10 11 21 22 36 37 55 56 78 79 105 106
(x - ((((x mod 2) - x) - 1) * (x div 2)))
A266304: 0 1 5 6 14 15 27 28 44 45 65 66 90 91 119 120
((((x + 1) div (2 + 1)) mod 2) - (x div 2))
A176001: 0 0 0 0 ~1 ~2 ~3 ~3 ~3 ~3 ~4 ~5 ~6 ~6 ~6 ~6
((((x div 2) div (2 + 1)) * 2) + (x div 2))
A219651: 0 0 1 1 2 2 5 5 6 6 7 7 10 10 11 11
(((((x mod 2) * 2) * 2) * 2) + (x div 2))
A168321: 0 8 1 9 2 10 3 11 4 12 5 13 6 14 7 15
(x - ((1 - ((2 + 2) * 2)) * (x div 2)))
A090570: 0 1 9 10 18 19 27 28 36 37 45 46 54 55 63 64
((((x mod 2) + x) * (2 + 2)) + (x div 2))
A274406: 0 8 9 17 18 26 27 35 36 44 45 53 54 62 63 71
(x - (((x div 2) - (x * 2)) * (x div 2)))
A001082: 0 1 5 8 16 21 33 40 56 65 85 96 120 133 161 176
((((x * x) * 2) - (x mod 2)) + (x div 2))
A139591: 0 1 9 18 34 51 75 100 132 165 205 246 294 343 399 456
((((2 mod (x + 1)) + 1) * x) + (x div 2))
A030123: 0 1 7 10 14 17 21 24 28 31 35 38 42 45 49 52
((((x * 2) div (2 + 1)) + x) + (x div 2))
A090169: 0 1 4 6 8 10 13 14 17 19 21 23 26 27 30 32
((((x div 2) div (2 + 1)) + x) + (x div 2))
A060832: 0 1 3 4 6 7 10 11 13 14 16 17 20 21 23 24
((((x * x) div (2 + 1)) + x) + (x div 2))
A236771: 0 1 4 7 11 15 21 26 33 40 48 56 66 75 86 97
(((x div 2) div ((2 + 2) + 1)) + (x mod 2))
A196564: 0 1 0 1 0 1 0 1 0 1 1 2 1 2 1 2
(((x div ((0 - 2) - 1)) mod 2) - (x mod 2))
A131531: 0 0 1 0 0 ~1 0 0 1 0 0 ~1 0 0 1 0
((((x div 2) div (2 + 1)) * 2) + (x mod 2))
A276090: 0 1 0 1 0 1 2 3 2 3 2 3 4 5 4 5
(((((x * 2) + 1) * 2) * 2) + (x mod 2))
A173512: 4 13 20 29 36 45 52 61 68 77 84 93 100 109 116 125
((((x div (2 + 2)) mod 2) * 2) + (x mod 2))
A059905: 0 1 0 1 2 3 2 3 0 1 0 1 2 3 2 3
(((2 - (x mod (2 + 2))) * 2) - (x mod 2))
A216178: 4 1 0 ~3 4 1 0 ~3 4 1 0 ~3 4 1 0 ~3
(((x - ((x div 2) mod 2)) div 2) + (x mod 2))
A291271: 0 1 0 2 2 3 2 4 4 5 4 6 6 7 6 8
((((2 + 1) * x) + 2) * (2 - (x mod 2)))
A166304: 4 5 16 11 28 17 40 23 52 29 64 35 76 41 88 47
((((2 + 1) * x) + 2) div (2 - (x mod 2)))
A165367: 1 5 4 11 7 17 10 23 13 29 16 35 19 41 22 47
(((((x + 2) + 1) * x) div 2) + (x mod 2))
A176222: 0 3 5 10 14 21 27 36 44 55 65 78 90 105 119 136
(2 - ((x + 1) div ((1 - x) - (x mod 2))))
A329505: 1 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4
((((((2 + 1) * 2) + 1) * x) * x) div 2)
A032525: 0 3 14 31 56 87 126 171 224 283 350 423 504 591 686 787
((((((x + 2) * x) - 1) * x) * x) div 2)
A255499: 0 1 14 63 184 425 846 1519 2528 3969 5950 8591 12024 16393 21854 28575
((((((x * x) * x) + 1) * x) * x) div 2)
A101378: 0 1 18 126 520 1575 3906 8428 16416 29565 50050 80586 124488 185731 269010 379800
(1 - (((((2 - x) div 2) - x) * x) div 2))
A263465: 1 2 3 7 11
(((((2 + 2) * 2) * 2) + (x * x)) + 2)
A241848: 18 19 22 27 34 43 54 67 82 99 118 139 162 187 214 243
(1 - ((((x div 2) mod 2) - (x * x)) div 2))
A220315: 1 2 3 5 9 14
(((x * x) div ((0 - 2) - 2)) * (0 - x))
A213389: 0 1 2 9 16 35 54 91 128 189 250 341 432 559 686 855
(((((x + 2) + 1) * (2 + 1)) + 1) * x)
A140678: 0 13 32 57 88 125 168 217 272 333 400 473 552 637 728 825
(((((2 + 1) * 2) * (2 + 1)) + 1) * x)
A008601: 0 19 38 57 76 95 114 133 152 171 190 209 228 247 266 285
(((((x + 1) * 2) * (2 + 1)) - 1) * x)
A211014: 0 11 34 69 116 175 246 329 424 531 650 781 924 1079 1246 1425
(((((2 + 2) * 2) * (2 + 1)) - 1) * x)
A008605: 0 23 46 69 92 115 138 161 184 207 230 253 276 299 322 345
((x div (((2 + 2) * (2 + 1)) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A335467-A334140-A247755-A244511-A172270-A171828-A140332-A084347-A084034-A023806-A023754-A014157: 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16
((x div (((2 + 2) * (2 + 1)) - 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A342382-A335523-A331162-A249626-A247809-A247806-A247802-A247801-A241158-A241157-A102823-A052081-A043096-A031995-A023752-A010784-A004775-A004744: 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16
(((((x + 1) * x) * (2 + 1)) + 1) * x)
A249354: 0 7 38 111 244 455 762 1183 1736 2439 3310 4367 5628 7111 8834 10815
(((((x + 2) * x) * (2 + 1)) + 1) * x)
A196507: 0 10 50 138 292 530 870 1330 1928 2682 3610 4730 6060 7618 9422 11490
(((((2 + 2) * 2) * (x + 1)) - 1) * x)
A139278: 0 15 46 93 156 235 330 441 568 711 870 1045 1236 1443 1666 1905
(((((x * x) + 2) * (x + 1)) - 1) * x)
A186636: 0 5 34 129 356 805 1590 2849 4744 7461 11210 16225 22764 31109 41566 54465
((((((x + 2) + 2) + 1) * 2) + 1) * x)
A139577: 0 13 30 51 76 105 138 175 216 261 310 363 420 481 546 615
((((((x * 2) * 2) + 1) * 2) + 1) * x)
A139276: 0 11 38 81 140 215 306 413 536 675 830 1001 1188 1391 1610 1845
(((x + 1) div (((2 + 1) * 2) + 1)) + x)
A067570: 0 1 2 3 4 5 7
A263715-A079298-A047595: 0 1 2 3 4 5 7 8 9 10 11 12 13 15 16 17
(((x + 2) div (((2 + 1) * 2) + 1)) + x)
A004776: 0 1 2 3 4 6 7 8 9 10 11 12 14 15 16 17
(((x * 2) div (((2 + 1) * 2) + 1)) + x)
A187328-A039105: 0 1 2 3 5 6 7 9 10 11 12 14 15 16 18 19
(((x div 2) div (((2 + 1) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A335522-A334966-A120401-A056651-A023807-A023755-A000401: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16
compr(\x.((x mod ((x mod (2 + 1)) + 2)) - 1),x)
A039238: 0 1 3 4 5 6 7 8 9 10 12 13 15 16 17 18
((((((x * 2) + 1) * 2) * 2) + 1) * x)
A139277: 0 13 42 87 148 225 318 427 552 693 850 1023 1212 1417 1638 1875
((((((x * 2) - 1) * 2) * 2) - 1) * x)
A139272: 0 3 22 57 108 175 258 357 472 603 750 913 1092 1287 1498 1725
((((((2 + 2) * 2) * 2) * 2) - 1) * x)
A135631: 0 31 62 93 124 155 186 217 248 279 310 341 372 403 434 465
((x div ((((2 + 2) * 2) * 2) - 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A125007-A095736-A048339-A048326-A048312-A035062-A029960-A023808-A023756-A004829: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16
((((((x + 2) + 2) + 2) * 2) + 1) * x)
A139578: 0 15 34 57 84 115 150 189 232 279 330 385 444 507 574 645
(((x * 2) div (((2 + 2) * 2) + 1)) + x)
A039199: 0 1 2 3 4 6 7 8 9 11 12 13 14 15 17 18
(((((x * x) * (2 + 2)) * 2) + 1) * x)
A118465: 0 9 66 219 516 1005 1734 2751 4104 5841 8010 10659 13836 17589 21966 27015
(((x div (2 + 1)) * ((2 + 2) + 1)) + x)
A047469: 0 1 2 8 9 10 16 17 18 24 25 26 32 33 34 40
((((x * 2) + 1) * ((2 + 2) + 1)) + x)
A017449: 5 16 27 38 49 60 71 82 93 104 115 126 137 148 159 170
((((x * 2) + 1) div ((2 + 2) + 1)) + x)
A047367: 0 1 3 4 5 7 8 10 11 12 14 15 17 18 19 21
((((x div 2) + 1) * ((2 + 2) + 1)) + x)
A047319: 5 6 12 13 19 20 26 27 33 34 40 41 47 48 54 55
((((x + 1) * 2) * ((2 + 2) + 1)) + x)
A104341: 10 21 32 43 54 65 76 87 98
A017509: 10 21 32 43 54 65 76 87 98 109 120 131 142 153 164 175
((((2 + 2) * 2) * ((2 + 2) + 1)) + x)
A082763: 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55
((((2 + 2) * 2) * ((2 + 2) + 1)) - x)
A273770-A022996: 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25
(((x div (2 + 2)) * ((2 + 2) + 1)) + x)
A037463: 0 1 2 3 9 10 11 12 18 19 20 21 27 28 29 30
((((x div 2) * 2) div ((2 + 2) + 1)) + x)
A067570: 0 1 2 3 4 5 7
A039264: 0 1 2 3 4 5 7 8 9 10 12 13 14 15 16 17
((((x mod 2) + x) div ((2 + 2) + 1)) + x)
A039258: 0 1 2 3 4 6 7 8 9 11 12 13 14 15 16 18
((x - (((1 - x) * (2 + 2)) - 1)) * x)
A135706: 0 2 14 36 68 110 162 224 296 378 470 572 684 806 938 1080
(((((2 + 2) * 2) + 1) * (2 + 1)) - x)
A022983: 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12
(((x div ((2 + 2) + 1)) * (2 + 1)) + x)
A047453-A037467: 0 1 2 3 4 8 9 10 11 12 16 17 18 19 20 24
((((x div (2 + 2)) + 1) * (2 + 1)) + x)
A047307: 3 4 5 6 10 11 12 13 17 18 19 20 24 25 26 27
(((((x * 2) * 2) + 1) * (2 + 1)) - x)
A017425: 3 14 25 36 47 58 69 80 91 102 113 124 135 146 157 168
((((2 + 2) * (2 + 1)) * (2 + 1)) - x)
A022992: 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21
((((x div 2) * (2 + 1)) * (2 + 1)) + x)
A112651: 0 1 11 12 22 23 33 34 44 45 55 56 66 67 77 78
(((x - (x div (2 + 1))) div (2 + 1)) + x)
A039193: 0 1 2 3 5 6 7 8 10 11 12 13 14 16 17 18
compr(\x.(((x * x) div (2 + 1)) mod (2 + 1)),x)
A265227: 0 1 3 6 8 9 10 12 15 17 18 19 21 24 26 27
(((2 mod ((x div 2) + 1)) * (2 + 1)) + x)
A288657: 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21
(((x mod ((x div 2) + 1)) div (2 + 1)) + x)
A043092-A023801-A020659: 0 1 2 3 4 5 6 8 9 10 11 12 13 15 16 17
((((2 + 2) * (x + 1)) * (2 + 1)) - x)
A104340: 12 23 34 45 56 67 78 89
(x - (1 mod (((x + 1) mod (2 + 1)) - x)))
A010375: 0 1 3 4 5 9
((((x div (2 + 1)) * 2) div (2 + 1)) + x)
A067570: 0 1 2 3 4 5 7
A039203: 0 1 2 3 4 5 7 8 9 11 12 13 14 15 16 18
(((((x * 2) + 1) * 2) * (2 + 1)) + x)
A186113: 6 19 32 45 58 71 84 97 110 123 136 149 162 175 188 201
(((((x * 2) + 1) * 2) * (2 + 1)) - x)
A017461: 6 17 28 39 50 61 72 83 94 105 116 127 138 149 160 171
(((((2 + 2) * 2) * 2) * (2 + 1)) + x)
A121377: 48 49 50 51 52 53 54 55 56 57
((((x div (2 + 2)) * 2) * (2 + 1)) + x)
A276326-A055655-A007090: 0 1 2 3 10 11 12 13 20 21 22 23 30 31 32 33
((x - (1 - ((2 + 2) * (2 + 1)))) * x)
A119412: 0 12 26 42 60 80 102 126 152 180 210 242 276 312 350 390
((x div (1 - ((2 + 2) * (2 + 1)))) + x)
A172268: 0 0 1 2 3 4 5 6 7 8 9 10 10 11 12 13
(((((x * x) + 2) * 2) div (2 + 1)) - x)
A076202: 1 1 2 4 8 13
((x - (((1 - x) * 2) * (2 + 1))) * x)
A051868: 0 1 16 45 88 145 216 301 400 513 640 781 936 1105 1288 1485
((x - (2 - ((x * 2) * (2 + 1)))) * x)
A135703: 0 5 24 57 104 165 240 329 432 549 680 825 984 1157 1344 1545
(((1 - ((x * x) div 2)) mod (2 + 1)) + x)
A235451: 1 2 4 3 6 6 7 8 10 9 12 12 13 14 16 15
((((x div (2 + 1)) + x) div (2 + 1)) + x)
A037087: 0 1 2 4 5 7 8 10 11 13 14 15 17 18 20 21
((x + 1) div (((1 - x) mod (2 + 1)) + x))
A141571: 1 2 0 1 1 0 1 1 0 1 1 0 1 1 0 1
(((((x * x) + 2) * x) div (2 + 1)) + x)
A033547: 0 2 6 14 28 50 82 126 184 258 350 462 596 754 938 1150
(((x div (2 + 2)) * (x div (2 + 1))) + x)
A272341: 0 1 2 3 5 6 8 9 12 15
(1 - (x div ((1 - (x mod (2 + 1))) - x)))
A082204: 1 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3
compr(\x.(((x div 2) mod 2) - (x mod (2 + 1))),x)
A039241: 0 1 2 4 5 7 8 9 10 11 12 13 14 16 17 19
((((((x * 2) + 1) * x) * 2) + 1) * x)
A110451: 0 7 42 129 292 555 942 1477 2184 3087 4210 5577 7212 9139 11382 13965
((((((2 + 2) * 2) + x) * 2) + 1) * x)
A139580: 0 19 42 69 100 135 174 217 264 315 370 429 492 559 630 705
((((((2 + 2) * 2) + x) * 2) - 1) * x)
A139579: 0 17 38 63 92 125 162 203 248 297 350 407 468 533 602 675
(((((x * 2) + 1) * (x + 2)) - 1) * x)
A163832: 0 8 38 102 212 380 618 938 1352 1872 2510 3278 4188 5252 6482 7890
((((2 + 2) * 2) * ((x * 2) + 1)) - x)
A164284: 8 23 38 53 68 83 98 113 128 143 158 173 188 203 218 233
((((((2 + 1) * 2) + 1) * x) + 1) * x)
A092277: 0 8 30 66 116 180 258 350 456 576 710 858 1020 1196 1386 1590
(((((2 + 2) * (2 + 1)) + x) + 1) * x)
A132759: 0 14 30 48 68 90 114 140 168 198 230 264 300 338 378 420
((((((x - 1) * x) - 1) * x) - 1) * x)
A152016: 0 ~2 2 42 172 470 1038 2002 3512 5742 8890 13178 18852 26182 35462 47010
((((((2 + 2) * 2) * 2) + x) + 1) * x)
A132761: 0 18 38 60 84 110 138 168 200 234 270 308 348 390 434 480
((((((2 + 2) * 2) * 2) + x) - 1) * x)
A132760: 0 16 34 54 76 100 126 154 184 216 250 286 324 364 406 450
((((((2 + 2) * 2) * 2) - x) - 1) * x)
A256573: 0 14 26
((((((2 + 1) * x) + 2) * x) + 1) * x)
A067389: 0 6 34 102 228 430 726 1134 1672 2358 3210 4246 5484 6942 8638 10590
(((((x + 2) * x) + 2) * (x + 1)) + x)
A094792: 2 11 32 71 134 227 356 527 746 1019 1352 1751 2222 2771 3404 4127
(((x * x) div (2 + 2)) + ((x + 1) * x))
A249547: 0 2 7 14 24 36 51 68 88 110 135 162 192 224 259 296
(((((x * x) * x) * (x * x)) + 1) * x)
A131472: 0 2 66 732 4100 15630 46662 117656 262152 531450 1000010 1771572 2985996 4826822 7529550 11390640
(((((x * x) * x) * (x * x)) - 1) * x)
A131473: 0 0 62 726 4092 15620 46650 117642 262136 531432 999990 1771550 2985972 4826796 7529522 11390610
(1 - ((x div ((2 + 2) * (0 - 2))) * x))
A092596: 1 2 3 4 5 6 7 8 9 19
(((x div (((2 + 1) * 2) + 1)) * 2) + x)
A272574-A039111-A037475: 0 1 2 3 4 5 6 9 10 11 12 13 14 15 18 19
(((x mod (((2 + 1) * 2) + 1)) * 2) - x)
A073794: 0 1 2 3 4 5 6 ~7 ~6 ~5 ~4 ~3 ~2 ~1 ~14 ~13
(((x mod (((2 + 2) * 2) + 1)) * 2) - x)
A073796: 0 1 2 3 4 5 6 7 8 ~9 ~8 ~7 ~6 ~5 ~4 ~3
((((x + 1) div ((2 + 2) + 1)) * 2) + x)
A047287-A039047: 0 1 2 3 6 7 8 9 10 13 14 15 16 17 20 21
(((((x div 2) + 1) * (2 + 1)) div 2) + x)
A047325: 1 2 5 6 8 9 12 13 15 16 19 20 22 23 26 27
(((((x + 1) div 2) div (2 + 1)) * 2) + x)
A047549-A039074: 0 1 2 3 4 7 8 9 10 11 12 15 16 17 18 19
(((((x + 2) + 2) * (2 + 1)) + 2) * x)
A140679: 0 17 40 69 104 145 192 245 304 369 440 517 600 689 784 885
(((x - ((x div 2) div (2 + 1))) div 2) + x)
A022846: 0 1 3 4 6 7 8 10 11 13 14 16 17 18 20 21
(((((2 + 1) * x) * (2 + 1)) + 2) * x)
A147296: 0 11 40 87 152 235 336 455 592 747 920 1111 1320 1547 1792 2055
(((((2 + 1) * x) * (2 + 1)) - 2) * x)
A013656: 0 7 32 75 136 215 312 427 560 711 880 1067 1272 1495 1736 1995
((x div ((2 mod ((x div 2) + 1)) + 2)) + x)
A039236: 0 1 3 4 5 6 7 8 10 11 12 13 15 16 17 18
(((((x + 2) * x) * (x + 1)) - 2) * x)
A330651: 0 4 44 174 472 1040 2004 3514 5744 8892 13180 18854 26184 35464 47012 61170
(((((x div (2 + 1)) + 1) * 2) * 2) + x)
A047311: 4 5 6 11 12 13 18 19 20 25 26 27 32 33 34 39
((((((2 + 1) * 2) + 1) * 2) * 2) - x)
A022984: 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13
(((x mod (((2 + 2) + 1) * 2)) * 2) - x)
A103303: 0 1 2 3 4 5 6 7 8 9
A073835: 0 1 2 3 4 5 6 7 8 9 ~10 ~9 ~8 ~7 ~6 ~5
((((x div ((2 + 2) + 1)) + 2) * 2) + x)
A295742: 4 5 6 7 8 11
((((x div ((2 + 2) + 1)) * 2) * 2) + x)
A037468: 0 1 2 3 4 9 10 11 12 13 18 19 20 21 22 27
(((((x * 2) * (2 + 1)) + 2) * 2) + x)
A127547: 4 17 30 43 56 69 82 95 108 121 134 147 160 173 186 199
(((((x * 2) * (2 + 1)) + 2) * 2) - x)
A017437: 4 15 26 37 48 59 70 81 92 103 114 125 136 147 158 169
(((((x div 2) * (2 + 1)) + 2) * 2) + x)
A047608: 4 5 12 13 20 21 28 29 36 37 44 45 52 53 60 61
(((((x div 2) div (2 + 1)) * 2) * 2) + x)
A007092: 0 1 2 3 4 5 10 11 12 13 14 15 20 21 22 23
(((x - (x div ((0 - 2) - 2))) div 2) + x)
A007067: 0 2 3 5 6 8 10 11 13 15 16 18 19 21 23 24
((((((x div 2) - 1) div 2) div 2) mod 2) + x)
A118868: 1 2 2 3 4 5 6 7 8 9 11 12 13 14 15 16
((((((x + 1) div 2) div 2) div 2) * 2) + x)
A039153: 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 19
((x - ((1 - ((2 + 2) * 2)) * 2)) * x)
A098848: 0 15 32 51 72 95 120 147 176 207 240 275 312 351 392 435
((2 + 1) div ((((2 + 2) * 2) * 2) - x))
A034411: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3
((2 + 2) div ((((2 + 2) * 2) * 2) - x))
A168084: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4
((x div (((x div (2 + 2)) + 2) + 2)) + x)
A276389-A052413: 0 1 2 3 4 6 7 8 9 10 11 12 13 14 16 17
(((x * 2) div (1 - ((2 + 2) * 2))) + x)
A057359: 0 0 1 2 2 3 4 5 5 6 7 7 8 9 10 10
((((x div 2) + x) div ((2 + 2) * 2)) + x)
A067570: 0 1 2 3 4 5 7
A345913-A043091-A023800: 0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17
((x - (((1 - x) * (2 + 2)) * 2)) * x)
A051872: 0 1 20 57 112 185 276 385 512 657 820 1001 1200 1417 1652 1905
((x div (((2 - x) div (2 + 2)) - 2)) + x)
A028391: 0 0 1 2 2 3 4 5 6 6 7 8 9 10 11 12
(((x - ((2 - x) div (2 + 2))) div 2) + x)
A058065: 0 1 3 5 6 8 9 11 13 14 16 18 19 21 22 24
((((((2 + 1) * x) + 2) * 2) * 2) - x)
A017485: 8 19 30 41 52 63 74 85 96 107 118 129 140 151 162 173
compr(\x.(((x + 1) div ((x mod 2) + 2)) mod 2),x)
A191276: 0 1 4 5 7 8 11 12 13 16 17 19 20 23 24 25
(1 div (1 - (((x - 1) mod (2 + 2)) * x)))
A164660: 1 1 ~1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 ~1
compr(\x.(1 - (((x div 2) * x) mod (2 + 2))),x)
A047586: 2 3 5 6 7 10 11 13 14 15 18 19 21 22 23 26
((((x div 2) + 2) * (x div (2 + 2))) + x)
A337261: 0 1 2 3 8 9 11 12
((((x * x) * (x * x)) + (2 + 2)) * x)
A054604: 0 5 40 255 1040 3145 7800 16835 32800 59085 100040 161095 248880 371345 537880 759435
((((((x div 2) mod 2) + x) div 2) * 2) + x)
A047538: 0 1 4 7 8 9 12 15 16 17 20 23 24 25 28 31
compr(\x.(((x mod (2 + 1)) * (x div 2)) mod 2),x)
A039267-A039206-A000398: 0 1 2 3 4 5 6 8 9 11 12 13 14 15 16 17
(((((x div 2) + 1) * (x div 2)) div 2) + x)
A165157: 0 1 3 4 7 8 12 13 18 19 25 26 33 34 42 43
(x - (((x mod (2 + 1)) div 2) * (2 - x)))
A222256: 0 1 2 3 4 8 6 7 14 9 10 20 12 13 26 15
(((((x div 2) div (2 + 1)) + x) div 2) + x)
A275672: 0 1 3 4 6 7 9
A172272-A056576: 0 1 3 4 6 7 9 11 12 14 15 17 19 20 22 23
(((((x div (0 - 2)) mod 2) + x) * 2) + x)
A072833: 0 5 8 9 12 17 20 21 24 29 32 33 36 41 44 45
((((((x - 1) div 2) mod 2) + x) * 2) + x)
A294510: 2 3 6 11 14 15 18 23
A218155: 2 3 6 11 14 15 18 23 26 27 30 35 38 39 42 47
((((((2 + 2) * 2) * 2) + x) + 2) * x)
A098850: 0 19 40 63 88 115 144 175 208 243 280 319 360 403 448 495
((((x div ((2 + 2) * 2)) + x) div 2) + x)
A275672: 0 1 3 4 6 7 9
A140758: 0 1 3 4 6 7 9 10 12 14 15 17 18 20 21 23
((x - ((((2 - x) + 2) * x) * 2)) * x)
A015242: 0 ~5 ~12 ~9 16 75 180 343 576 891 1300 1815 2448 3211 4116 5175
((((((x * x) * x) + 2) * x) - 2) * x)
A240129: 0 1 36
((((x + 2) * (x + 2)) * (x + 2)) - x)
A250352: 8 26 62 122 212 338 506 722 992 1322 1718 2186 2732 3362 4082 4898
(((x * x) mod (2 + 1)) + ((x - 2) * x))
A109340: 0 0 1 3 9 16 24 36 49 63 81 100 120 144 169 195
((2 - (2 div (2 div (1 - (x * 2))))) + x)
A231407: 1 4 6
A074764: 1 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19
((1 mod (((2 + 2) * 2) - (x div 2))) + x)
A323372-A322021-A296090-A295888-A295880-A295300: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 15
(((((x mod 2) * x) div 2) * (x div 2)) + x)
A346004: 0 1 2 4 4 9 6 16 8 25 10 36 12 49 14 64
((((x div 2) + x) + 2) * ((x div 2) + x))
A057780: 0 3 15 24 48 63 99 120 168 195 255 288 360 399 483 528
((x div ((x mod 2) + 2)) + ((x div 2) * x))
A075100: 0 0 3 4 10 11
((((x div 2) + x) + 1) * ((x mod 2) + x))
A062717: 0 4 8 20 28 48 60 88 104 140 160 204 228 280 308 368
(((x * x) - (((2 - x) * x) div 2)) * x)
A212679: 0 1 8 33 80 165 288 469 704 1017 1400 1881 2448 3133 3920 4845
(((((2 + 2) * (2 + 1)) + 1) * x) * x)
A152742: 0 13 52 117 208 325 468 637 832 1053 1300 1573 1872 2197 2548 2925
(((((2 + 2) * (2 + 1)) - 1) * x) * x)
A033584: 0 11 44 99 176 275 396 539 704 891 1100 1331 1584 1859 2156 2475
(((((x + 2) * (2 + 1)) + 1) * x) * x)
A257042: 0 10 52 144 304 550 900 1372 1984 2754 3700 4840 6192 7774 9604 11700
((((((2 + 2) * 2) * 2) + 1) * x) * x)
A244630: 0 17 68 153 272 425 612 833 1088 1377 1700 2057 2448 2873 3332 3825
(((((x - (2 + 2)) * 2) - 1) * x) * x)
A015243: 0 ~7 ~20 ~27 ~16 25 108 245 448 729 1100 1573 2160 2873 3724 4725
((((((x + 2) * 2) * 2) + 1) * x) * x)
A258618: 0 13 68 189 400 725 1188 1813 2624 3645 4900 6413 8208 10309 12740 15525
((2 mod (((x - 1) div (2 + 1)) - x)) + x)
A084520-A084510-A054846: 0 1 2 2 3 3 3 4 4 4 5 5 5 6 6 6
(((((2 + 2) * 2) * (2 + 1)) + x) * x)
A132766: 0 25 52 81 112 145 180 217 256 297 340 385 432 481 532 585
((((((x * x) + 1) * x) + 1) * x) * x)
A133073: 0 3 44 279 1104 3275 8028 17199 33344 59859 101100 162503 250704 373659 540764 762975
((((((x * x) + 1) * x) - 1) * x) * x)
A240129: 0 1 36
A133072: 0 1 36 261 1072 3225 7956 17101 33216 59697 100900 162261 250416 373321 540372 762525
((((((x * x) - 1) * x) + 1) * x) * x)
A133071: 0 1 28 225 976 3025 7596 16513 32320 58401 99100 159841 247248 369265 535276 756225
((((((x * x) - 1) * x) - 1) * x) * x)
A133070: 0 ~1 20 207 944 2975 7524 16415 32192 58239 98900 159599 246960 368927 534884 755775
(((((x * x) * (x * x)) - 1) * x) * x)
A136008: 0 0 60 720 4080 15600 46620 117600 262080 531360 999900 1771440 2985840 4826640 7529340 11390400
((((((2 + 2) + 1) * 2) * 2) + x) * x)
A120071: 0 21 44 69 96 125 156 189 224 261 300 341 384 429 476 525
((1 mod ((((2 + 2) * 2) * 2) - x)) + x)
A309083: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15
((((((x + 2) + 2) * 2) * 2) - x) * x)
A140680: 0 19 44 75 112 155 204 259 320 387 460 539 624 715 812 915
(((((x + 2) * (x + 2)) + 2) * x) * x)
A258402: 0 11 72 243 608 1275 2376 4067 6528 9963 14600 20691 28512 38363 50568 65475
((((2 + 2) * 2) * (2 + 1)) + (x * x))
A241890: 24 25 28 33 40 49 60 73 88 105 124 145 168 193 220 249
((((x * x) div 2) * (2 + 1)) + (x * x))
A195142: 0 1 10 21 40 61 90 121 160 201 250 301 360 421 490 561
(((((2 + 2) + 1) * 2) * 2) + (x * x))
A241850: 20 21 24 29 36 45 56 69 84 101 120 141 164 189 216 245
((((x div 2) + 1) * (x div 2)) + (x * x))
A239767: 0 1 6 11 22 31 48 61 84 101 130 151 186 211 252 281
(((((2 + 1) * 2) + 1) * x) * (x * x))
A244727: 0 7 56 189 448 875 1512 2401 3584 5103 7000 9317 12096 15379 19208 23625
(((((x * x) * x) - 1) * x) * (x * x))
A136006: 0 0 56 702 4032 15500 46440 117306 261632 530712 999000 1770230 2984256 4824612 7526792 11387250
((1 mod (((2 - x) * 2) - x)) + (x * x))
A118403: 1 1 3 5 9 15 23 33 45 59 75 93 113 135 159 185
(1 - (((x * x) * (x * x)) * (x * x)))
A024004: 1 0 ~63 ~728 ~4095 ~15624 ~46655 ~117648 ~262143 ~531440 ~999999 ~1771560 ~2985983 ~4826808 ~7529535 ~11390624
((((x * x) * x) * (x * x)) * (x * x))
A001015: 0 1 128 2187 16384 78125 279936 823543 2097152 4782969 10000000 19487171 35831808 62748517 105413504 170859375
loop(\(x,i).loop(\(x,i).loop(\(x,i).(i * x),i,x),i,x),x,1)
A054909: 1 1 2 24
A055462: 1 1 2 24 6912 238878720 5944066965504000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x)
A087734: 0 0 0 0 0 1 0 0 0 1 2 3 0 1 0 0
(if (if (x mod ((2 + 2) + 1)) <= 0 then x else 0) <= 0 then 1 else 0)
A345009-A236862-A236853-A178666: 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0
(if (if (x mod ((2 + 1) * 2)) <= 0 then x else 0) <= 0 then 1 else 0)
A249133-A118102: 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1
(if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then 1 else 0)
A273592-A070887: 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1
(if (x mod ((2 + 1) * 2)) <= 0 then (if x <= 0 then 0 else 1) else 0)
A144600-A024943: 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0
(if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) * (2 + 1)) else 0)
A021169: 0 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
(if ((x div 2) mod 2) <= 0 then (if (2 - x) <= 0 then 2 else 1) else 0)
A143432: 1 1 0 0 2 2 0 0 2 2 0 0 2 2 0 0
(if (x mod 2) <= 0 then (if x <= 0 then 0 else ((x * 2) + 1)) else 0)
A266439: 0 0 5 0 9 0 13 0 17 0 21 0 25 0 29 0
loop(\(x,i).i,(loop(\(x,i).((i - 1) - x),x,2) - 1),0)
A008736-A008722: 1 0 2 0 3 0 4 0 5 1 6 2 7 3 8 4
(if (((2 + 2) + 1) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 0)
A094875-A012245: 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
(if (((2 + 2) * 2) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 0)
A296209-A255738-A076141: 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0
(loop(\(x,i).(x * 2),x,2) + (if (2 - x) <= 0 then 1 else 0))
A088039: 2 4 9 17 33 65 129 257 513 1025 2049 4097 8193 16385 32769 65537
loop(\(x,i).(i * x),x,(x - (if (2 - x) <= 0 then 1 else 0)))
A018931: 0 1 2 12 72 480 3600 30240
loop(\(x,i).((x * 2) + 1),(if (x mod 2) <= 0 then x else 1),0)
A080924: 0 1 3 1 15 1 63 1 255 1 1023 1 4095 1 16383 1
(loop(\(x,i).((2 + 1) * x),x,2) + (if x <= 0 then 1 else 0))
A110593: 3 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814
loop(\(x,i).(((x + 1) * 2) + 1),x,(if x <= 0 then 1 else 0))
A068156: 1 3 9 21 45 93 189 381 765 1533 3069 6141 12285 24573 49149 98301
loop(\(x,i).((x + 1) * (2 + 1)),x,(if x <= 0 then 1 else 0))
A123109: 1 3 12 39 120 363 1092 3279 9840 29523 88572 265719 797160 2391483 7174452 21523359
loop(\(x,i).((x * x) + (2 + 1)),x,(if x <= 0 then 1 else 0))
A329471: 1 3 12 147 21612 467078547 218162369067631212 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 2) + 1) * 2),x,(if x <= 0 then 1 else 0))
A068293: 1 6 18 42 90 186 378 762 1530 3066 6138 12282 24570 49146 98298 196602
loop(\(x,i).(((2 + 1) * x) + 2),x,(if x <= 0 then 1 else 0))
A103453: 1 2 8 26 80 242 728 2186 6560 19682 59048 177146 531440 1594322 4782968 14348906
(loop(\(x,i).(x * 2),x,2) + (if (x mod 2) <= 0 then 2 else 0))
A087288: 4 4 10 16 34 64 130 256 514 1024 2050 4096 8194 16384 32770 65536
loop(\(x,i).((x * 2) + 1),x,(if (x mod 2) <= 0 then 2 else 0))
A303611: 2 1 11 7 47 31 191 127 767 511 3071 2047 12287 8191 49151 32767
(1 - (if (x - 1) <= 0 then x else (if (x mod 2) <= 0 then 2 else 0)))
A105812: 1 0 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1
loop(\(x,i).(1 - (x * 2)),x,(if (x mod 2) <= 0 then 2 else 0))
A255138: 2 1 7 3 27 11 107 43 427 171 1707 683 6827 2731 27307 10923
loop(\(x,i).(i * x),x,(if (2 - x) <= 0 then (x - 2) else 0))
A052571: 0 0 0 6 48 360 2880 25200 241920 2540160 29030400 359251200 4790016000 68497228800 1046139494400 16999766784000
(if x <= 0 then 1 else (if (x - (2 + 1)) <= 0 then (x * 2) else 0))
A182687: 1 2 4 6 0 0 0 0 0 0 0 0 0 0 0 0
(loop(\(x,i).(i * x),(x - 2),1) - (if x <= 0 then 2 else 0))
A159333: ~1 1 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800
(2 - loop(\(x,i).(1 - (x * 2)),x,(if x <= 0 then 2 else 0)))
A171501: 0 1 3 ~1 7 ~9 23 ~41 87 ~169 343 ~681 1367 ~2729 5463 ~10921
loop(\(x,i).(((x + 2) * 2) - (if x <= 0 then 1 else 0)),x,0)
A053208: 0 3 10 24 52 108 220 444 892 1788 3580 7164 14332 28668 57340 114684
loop(\(x,i).(i - loop(\(x,i).((i * x) - 2),x,0)),x,0)
A055591: 0 1 4 85 4611686018427387903
loop(\(x,i).(x - loop(\(x,i).((x - 1) * i),i,0)),x,0)
A006231: 0 1 5 20 84 409 2365 16064 125664 1112073 10976173 119481284 1421542628 18348340113 255323504917 3809950976992
loop(\(x,i).(((i + x) * 2) + (if x <= 0 then 0 else 1)),x,0)
A116454: 0 2 9 25 59 129 271 557 1131 2281 4583 9189 18403 36833 73695 147421
loop(\(x,i).(x * x),x,loop(\(x,i).((x * 2) + 1),x,0))
A092258: 0 1 81 5764801 4611686018427387903 4611686018427387903
loop(\(x,i).(i + x),x,loop(\(x,i).((x * 2) + 1),x,0))
A335439: 0 2 6 13 25 46 84 155 291 556 1078 2113 4173 8282 16488 32887
loop(\(x,i).(i * x),x,loop(\(x,i).((x * 2) + 1),x,0))
A052589: 0 1 6 42 360 3720 45360 640080 10281600 185431680 3712262400 81709689600 1961511552000 51005527372800 1428241944729600 42848566016256000
loop(\(x,i).loop(\(x,i).(x * 2),i,((x * 2) + 1)),x,0)
A104462: 0 2 20 328 10512 672800 86118464 22046326912 11287719379200 11558624644301312 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if x <= 0 then 0 else i) + 1) * (x + 1)),x,0)
A309490: 0 1 6 28 145 876 6139 49120 442089 4420900 48629911 583558944 7586266285 106207728004 1593115920075 25489854721216
loop(\(x,i).(if x <= 0 then ((i div 2) + 2) else (x - 1)),x,0)
A092488: 0 2 1 0 4 3 2 1 0 6 5 4 3 2 1 0
loop(\(x,i).(x - (loop(\(x,i).(x * 2),i,x) - 1)),x,0)
A176337: 0 1 ~2 15 ~224 6945 ~437534 55566819 ~14169538844 7240634349285 ~7407168939318554 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),1,((i * x) + 1)),x,0)
A303143-A168257: 0 1 9 784
loop(\(x,i).(loop(\(x,i).(x * 2),x,1) mod (i + 1)),x,0)
A131644: 0 1 2 0 1 2 4 0 1 2 4 4 3 8 1 2
(if (x mod 2) <= 0 then 1 else loop(\(x,i).((x + 1) * 2),x,0))
A280412: 1 2 1 14 1 62 1 254 1 1022 1 4094 1 16382 1 65534
loop(\(x,i).((x div (if i <= 0 then 1 else i)) + (x + 2)),x,0)
A061717-A003314: 0 2 5 8 12 16 20 24 29 34 39 44 49 54 59 64
(loop(\(x,i).(i * x),x,x) - (if (x - 2) <= 0 then x else 0))
A052633: 0 0 2 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 19615115520000
loop(\(x,i).(x * x),1,loop(\(x,i).(1 - (x * 2)),x,0))
A139818: 0 1 1 9 25 121 441 1849 7225 29241 116281 466489 1863225 7458361 29822521 119311929
loop(\(x,i).((if (i mod 2) <= 0 then 1 else x) + (x * 2)),x,0)
A329114: 0 0 1 3 7 21 43 129 259 777 1555 4665 9331 27993 55987 167961
loop(\(x,i).loop(\(x,i).((x * 2) + 1),i,(x * 2)),x,0)
A215203: 0 1 11 183 5871 375775 48099263 12313411455 6304466665215 6455773865180671 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) + 1),i,0) + x),x,0)
A125046: 0 1 3 8 34 711 459041 210066847942 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + x),x,0)
A003422: 0 1 2 4 10 34 154 874 5914 46234 409114 4037914 43954714 522956314 6749977114 93928268314
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) - x),x,0)
A153229: 0 1 0 2 4 20 100 620 4420 35900 326980 3301820 36614980 442386620 5784634180 81393657020
(if (((2 + 2) * 2) mod (if x <= 0 then 1 else x)) <= 0 then x else 0)
A048298: 0 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + x),x,0)
A112369: 0 2 10 58 442 4282 50362 695482 11017402 196811962 3912703162 85662309562 2047652863162 53059407256762 1481388530277562 44331262220901562
loop(\(x,i).(((2 + 2) + 1) * (if x <= 0 then 2 else x)),x,0)
A095687: 0 10 50 250 1250 6250 31250 156250 781250 3906250 19531250 97656250 488281250 2441406250 12207031250 61035156250
loop(\(x,i).(loop(\(x,i).(x * x),2,(i * 2)) + x),x,0)
A330151: 0 16 272 1568 5664 15664 36400 74816 140352 245328 405328 639584 971360 1428336 2042992 2852992
loop(\(x,i).(x * x),1,loop(\(x,i).((i + x) + x),x,0))
A294140: 0 1 16 121 676 3249 14400 61009 252004 1026169 4145296 16670889 66879684 267944161 1072693504 4292739361
loop(\(x,i).loop(\(x,i).(((2 + 1) * x) + 2),i,x),x,0)
A206601: 0 2 26 728 59048 14348906 10460353202 22876792454960 150094635296999120 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,i) + x),x,0)
A007487: 0 1 513 20196 282340 2235465 12313161 52666768 186884496 574304985 1574304985 3932252676 9092033028 19696532401 40357579185 78800938560
loop(\(x,i).((if (i mod 2) <= 0 then 2 else 0) + (i * x)),x,0)
A230071: 0 0 2 6 26 130 782 5474 43794 394146 3941462 43356082 520272986 6763548818 94689683454 1420345251810
loop(\(x,i).((if (i mod 2) <= 0 then i else 1) + (i * x)),x,0)
A344418: 0 1 4 13 56 281 1692 11845 94768 852913 8529140 93820541 1125846504 14636004553 204904063756 3073560956341
loop(\(x,i).((if (i mod 2) <= 0 then 1 else i) + (i * x)),x,0)
A344419: 0 1 3 12 49 250 1501 10514 84113 757026 7570261 83272882 999274585 12990569618 181867974653 2728019619810
loop(\(x,i).loop(\(x,i).(((i * i) * i) + x),i,x),x,0)
A085437-A024166: 0 1 10 46 146 371 812 1596 2892 4917 7942 12298 18382 26663 37688 52088
loop(\(x,i).(loop(\(x,i).(x * x),2,(i * i)) + x),x,0)
A000542: 0 1 257 6818 72354 462979 2142595 7907396 24684612 67731333 167731333 382090214 812071910 1627802631 3103591687 5666482312
loop(\(x,i).(x * x),1,loop(\(x,i).((i * i) + x),x,0))
A271535: 0 1 25 196 900 3025 8281 19600 41616 81225 148225 256036 422500 670761 1030225 1537600
loop(\(x,i).(((if (i mod 2) <= 0 then i else 1) + x) * i),x,0)
A344496: 0 1 6 21 100 505 3066 21469 171816 1546353 15463630 170099941 2041199436 26535592681 371498297730 5572474465965
loop(\(x,i).((if (x mod 2) <= 0 then (0 - x) else x) + i),x,0)
A226940: 0 1 3 6 ~2 7 13 20 ~12 21 31 42 ~30 43 57 72
(if x <= 0 then 0 else ((if (x mod 2) <= 0 then (2 + 2) else 0) + 1))
A021070: 0 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1
loop(\(x,i).(x * 2),x,((if (x mod 2) <= 0 then 2 else 0) + 1))
A098646: 3 2 12 8 48 32 192 128 768 512 3072 2048 12288 8192 49152 32768
((if ((2 + 1) mod (if x <= 0 then 2 else x)) <= 0 then 2 else 0) + 1)
A121273: 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 1
(if (x mod (2 + 1)) <= 0 then (if x <= 0 then 1 else 2) else (0 - 1))
A099837: 1 ~1 ~1 2 ~1 ~1 2 ~1 ~1 2 ~1 ~1 2 ~1 ~1 2
(loop(\(x,i).((if x <= 0 then 1 else x) * (2 + 1)),x,0) + 1)
A103457: 1 4 10 28 82 244 730 2188 6562 19684 59050 177148 531442 1594324 4782970 14348908
(loop(\(x,i).((if x <= 0 then 1 else x) * (x + 1)),x,0) + 1)
A129871: 1 2 3 7 43 1807 3263443 10650056950807 4611686018427387903 4611686018427387903
(loop(\(x,i).(if (x - 1) <= 0 then i else (x - 1)),x,0) + 1)
A132226: 1 2 3 2 5 4 3 2 9 8 7 6 5 4 3 2
loop(\(x,i).(i * x),loop(\(x,i).((x + 1) * 2),x,0),1)
A028367: 1 2 720 87178291200 4611686018427387903 4611686018427387903
(loop(\(x,i).(if x <= 0 then 1 else ((x * 2) * 2)),x,0) + 1)
A123166: 1 2 5 17 65 257 1025 4097 16385 65537 262145 1048577 4194305 16777217 67108865 268435457
(loop(\(x,i).(if x <= 0 then (2 + 1) else (x * 2)),x,0) + 1)
A004119: 1 4 7 13 25 49 97 193 385 769 1537 3073 6145 12289 24577 49153
(loop(\(x,i).((if x <= 0 then 2 else x) + (x * 2)),x,0) + 1)
A100702: 1 3 7 19 55 163 487 1459 4375 13123 39367 118099 354295 1062883 3188647 9565939
(2 div (loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1))
A135387: 2 1 2 0 1 2 0 0 1 2 0 0 0 1 2 0
loop(\(x,i).((x * 2) + 1),(if (x mod 2) <= 0 then x else 0),1)
A084181: 1 1 7 1 31 1 127 1 511 1 2047 1 8191 1 32767 1
loop(\(x,i).(1 - (x * 2)),(if (x mod 2) <= 0 then x else 0),1)
A166752: 1 1 3 1 11 1 43 1 171 1 683 1 2731 1 10923 1
(loop(\(x,i).(i * x),(x - 1),1) + (if x <= 0 then 0 else 1))
A185387: 1 2 2 3 7 25 121 721 5041 40321 362881 3628801 39916801 479001601 6227020801 87178291201
loop(\(x,i).(x * 2),((x div 2) - 1),(if x <= 0 then 0 else 1))
A158780: 0 1 1 1 2 2 4 4 8 8 16 16 32 32 64 64
(loop(\(x,i).((i + x) + x),x,1) + (if x <= 0 then 0 else 1))
A133095: 1 4 9 20 43 90 185 376 759 1526 3061 6132 12275 24562 49137 98288
(((if (x mod 2) <= 0 then x else 1) * 2) - (if x <= 0 then 0 else 1))
A266724: 0 1 3 1 7 1 11 1 15 1 19 1 23 1 27 1
(if ((2 - x) + 2) <= 0 then (2 + 2) else (if x <= 0 then 0 else 1))
A258199: 0 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4
(loop(\(x,i).(x * x),(x * 2),2) + (if x <= 0 then 0 else 1))
A269836: 2 17 65537
loop(\(x,i).(x * 2),(x - (if (x - 2) <= 0 then 0 else 1)),1)
A161816: 1 2 4 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) * 2) else 1) + 1)
A059855: 1 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2
(if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1)
A040011: 3 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1
loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,1) + 1))
A028400: 4 9 25 81 289 1089 4225 16641 66049 263169 1050625 4198401 16785409 67125249 268468225 1073807361
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),x,1) + 1))
A052561: 2 3 10 54 408 3960 46800 650160 10362240 186157440 3719520000 81789523200 1962469555200 51017981414400 1428416301312000 42851181364992000
loop(\(x,i).((2 + 1) * x),((if x <= 0 then 2 else x) - 1),1)
A155734: 3 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969
loop(\(x,i).((if x <= 0 then 1 else (i * i)) - x),(x + 1),1)
A135405: 0 1 8 8 17 19 30 34 47 53 68 76 93 103 122 134
(if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) * (x - 1)) else 1)
A267354: 0 1 2 1 6 1 10 1 14 1 18 1 22 1 26 1
loop(\(x,i).loop(\(x,i).(x * 2),i,(x * x)),(x - 1),1)
A016031: 1 1 2 16 2048 67108864 144115188075855872 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * x) * 2),i,x),(x - 1),1)
A186002: 1 1 2 16 768 294912 1132462080 52183852646400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 0 else 2) else 1)
A327538-A327407: 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1
loop(\(x,i).(x * x),(x - 2),((if x <= 0 then 0 else 2) + 1))
A165421: 1 3 3 9 81 6561 43046721 1853020188851841 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * 2),x,((if x <= 0 then 0 else 2) + 1))
A134062: 1 8 18 38 78 158 318 638 1278 2558 5118 10238 20478 40958 81918 163838
(if ((if x <= 0 then 1 else x) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A277873-A236833: 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2
loop(\(x,i).(i * x),x,(if (x mod (2 + 1)) <= 0 then 2 else 1))
A052579: 2 1 2 12 24 120 1440 5040 40320 725760 3628800 39916800 958003200 6227020800 87178291200 2615348736000
(if (x mod ((2 + 1) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A303824-A280801-A278567-A204897: 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A326297-A325561-A298735-A294335-A294333-A290106-A290104-A198293-A188169-A144871-A066799-A043282-A025452: 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1
(if ((x div 2) mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A174353: 1 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1
(if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1)
A010121: 2 1 1 1 4 1 1 1 4 1 1 1 4 1 1 1
(if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) * 2) else 1)
A276330: 0 1 1 1 4 1 1 1 4 1 1 1 4 1 1 1
(if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1)
A040019: 4 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1
(if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) * 2) * 2) else 1)
A021059: 0 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1
loop(\(x,i).(i * x),x,(if (x mod (2 + 2)) <= 0 then 2 else 1))
A052621: 2 1 2 6 48 120 720 5040 80640 362880 3628800 39916800 958003200 6227020800 87178291200 1307674368000
(if (if (x mod 2) <= 0 then x else ((2 - x) + 2)) <= 0 then 2 else 1)
A051700: 2 1 1 1 1 2 1 2 1 2 1 2 1 2 1 2
(if (x mod 2) <= 0 then ((if x <= 0 then 2 else 0) - 2) else (2 + 1))
A049071: 0 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2 3 ~2 3
(if x <= 0 then 1 else ((2 div (if x <= 0 then 1 else x)) * (2 + 1)))
A154738: 1 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then 0 else loop(\(x,i).(i * x),x,(2 + 1)))
A052619: 0 0 0 18 72 360 2160 15120 120960 1088640 10886400 119750400 1437004800 18681062400 261534873600 3923023104000
loop(\(x,i).(x * 2),(if (x - (2 + 1)) <= 0 then x else 2),1)
A222011: 1 2 4 8
A031401: 1 2 4 8 4 4 4 4 4 4 4
loop(\(x,i).(x * 2),x,((if (x - 1) <= 0 then x else 2) + 1))
A132477: 1 4 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304
(loop(\(x,i).(x * 2),x,1) + (if (2 - x) <= 0 then 2 else 1))
A089985: 2 3 6 10 18 34 66 130 258 514 1026 2050 4098 8194 16386 32770
(((if x <= 0 then 0 else 2) * 2) + (if (2 - x) <= 0 then 2 else 1))
A101101: 1 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
((if x <= 0 then 1 else (2 + 2)) + (if (2 - x) <= 0 then 2 else 1))
A113975: 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
(loop(\(x,i).(x * x),x,2) div (if (2 - x) <= 0 then 2 else 1))
A200758: 2 4 8 128 32768 2147483648
loop(\(x,i).((2 + 1) * x),x,(if (2 - x) <= 0 then 2 else 1))
A027334: 1 3 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814
loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - 1))
A060867: 1 9 49 225 961 3969 16129 65025 261121 1046529 4190209 16769025 67092481 268402689 1073676289 4294836225
loop(\(x,i).(x * x),2,(loop(\(x,i).(x * 2),x,2) - 1))
A128832: 1 81 2401 50625 923521 15752961 260144641 4228250625 68184176641 1095222947841 17557851463681 281200199450625 4501401006735361 72040003462430721 1152780773560811521 4611686018427387903
loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) - 1))
A171476: 1 6 28 120 496 2016 8128 32640 130816 523776 2096128 8386560 33550336 134209536 536854528 2147450880
loop(\(x,i).(i + x),x,(loop(\(x,i).(x * 2),x,2) - 1))
A132925: 1 4 10 21 41 78 148 283 547 1068 2102 4161 8269 16474 32872 65655
loop(\(x,i).((i + 1) * x),loop(\(x,i).(x * 2),x,2),1)
A317888: 6 120 362880 355687428096000 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,((if x <= 0 then 0 else (x + 2)) + 1))
A052572: 1 4 10 36 168 960 6480 50400 443520 4354560 47174400 558835200 7185024000 99632332800 1482030950400 23538138624000
(if (x mod 2) <= 0 then (if x <= 0 then 1 else 2) else ((x * 2) - 1))
A266256: 1 1 2 5 2 9 2 13 2 17 2 21 2 25 2 29
(if (x - 2) <= 0 then ((if x <= 0 then 1 else x) + (x * 2)) else 1)
A177022: 1 3 6 1 1 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).((x * 2) * (i + 1)),x,(if x <= 0 then 2 else 1))
A032107: 2 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 714164561510400 21424936845312000 685597979049984000
(((if (x mod 2) <= 0 then x else 2) * x) + (if x <= 0 then 2 else 1))
A215658-A192579: 2 3 5 7 17
loop(\(x,i).(x * 2),loop(\(x,i).((x div 2) + x),x,2),1)
A023376: 4 8 16 64 512 8192 524288 268435456 4398046511104 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((if (i - 2) <= 0 then 2 else x) + x),x,2) - 1)
A290114: 1 3 5 11 23 47 95 191 383 767 1535 3071 6143 12287 24575 49151
loop(\(x,i).(x * x),1,(loop(\(x,i).(x * x),x,2) + 1))
A330828: 9 25 289 66049 4295098369
(loop(\(x,i).(x * 2),x,loop(\(x,i).(x * x),x,2)) - 1)
A137810: 1 7 63 2047 1048575 137438953471 4611686018427387903 4611686018427387903 4611686018427387903
(if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then x else 1)
A319656: 0 1 2 3 4 5 6 7 1 9 10 11 12 13 14 15
loop(\(x,i).(x - loop(\(x,i).((x - 1) * i),i,0)),x,1)
A121726: 1 2 6 21 85 410 2366 16065 125665 1112074 10976174 119481285 1421542629 18348340114 255323504918 3809950976993
loop(\(x,i).loop(\(x,i).(x * 2),i,((x * 2) + 1)),x,1)
A164894: 1 6 52 840 26896 1721376 220336192 56406065280 28879905423616 29573023153783296 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,(x * 2)) - 1),x,1)
A073588: 1 3 23 367 11743 751551 96198527 24626822911 12608933330431 12911547730361343 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) + 1),x,1)
A117261: 1 2 5 21 169 2705 86561 5539905 709107841 181531607297 92944182936065 95174843326530561 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) + 1),x,1)
A036781: 1 3 6 13 38 159 880 5921 46242 409123 4037924 43954725 522956326 6749977127 93928268328 1401602636329
loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) - 1),x,1)
A136574: 1 1 2 7 30 149 868 5907 46226 409105 4037904 43954703 522956302 6749977101 93928268300 1401602636299
loop(\(x,i).(loop(\(x,i).(x * 2),(i + 2),x) + 1),x,1)
A178185: 1 9 145 4641 297025 38019201 9732915457 4983252713985 5102850779120641 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x - i) <= 0 then (x * 2) else (x - 1)),x,1)
A193298: 1 2 4 3 6 5 10 9 8 16 15 14 13 26 25 24
loop(\(x,i).(loop(\(x,i).(x * 2),i,(x * x)) - 1),x,1)
A073589: 1 1 3 71 80655 208167328799 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i - 2) <= 0 then i else x) + x) + 1),x,1)
A267604: 1 3 6 13 27 55 111 223 447 895 1791 3583 7167 14335 28671 57343
loop(\(x,i).(x * 2),x,loop(\(x,i).((i * x) + 1),x,1))
A082032: 1 4 20 128 1040 10432 125248 1753600 28057856 505041920 10100839424 222218469376 5333243269120 138664325005312 3882601100165120 116478033004986368
loop(\(x,i).(x - (i - loop(\(x,i).(i * x),i,1))),x,1)
A262376: 1 1 1 4 24 139 853 5886 46198 409069 4037859 43954648 522956236 6749977023 93928268209 1401602636194
loop(\(x,i).(x * x),1,loop(\(x,i).((x + 1) * 2),x,1))
A169721: 1 16 100 484 2116 8836 36100 145924 586756 2353156 9424900 37724164 150945796 603881476 2415722500 9663283204
loop(\(x,i).(x * 2),x,loop(\(x,i).((x + 1) * 2),x,1))
A165665: 1 8 40 176 736 3008 12160 48896 196096 785408 3143680 12578816 50323456 201310208 805273600 3221159936
loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then x else (2 - x)),1)
A224783: 1 2 4 1 16 1 64 1 256 1 1024 1 4096 1 16384 1
loop(\(x,i).(((if (i - 2) <= 0 then 1 else 0) - x) * 2),x,1)
A084633: 1 0 2 ~4 8 ~16 32 ~64 128 ~256 512 ~1024 2048 ~4096 8192 ~16384
loop(\(x,i).(x * 2),x,loop(\(x,i).((1 - x) * 2),x,1))
A083086: 1 0 8 ~16 96 ~320 1408 ~5376 22016 ~87040 350208 ~1396736 5595136 ~22364160 89489408 ~357892096
loop(\(x,i).((x div (if i <= 0 then 1 else i)) + (x + 2)),x,1)
A033156: 1 4 8 12 17 22 27 32 38 44 50 56 62 68 74 80
loop(\(x,i).((if (i - 2) <= 0 then 1 else 0) + (x * 2)),x,1)
A125176: 1 3 7 14 28 56 112 224 448 896 1792 3584 7168 14336 28672 57344
loop(\(x,i).(2 - x),x,loop(\(x,i).(1 - (x * 2)),x,1))
A277955: 1 3 3 7 11 23 43 87 171 343 683 1367 2731 5463 10923 21847
loop(\(x,i).((if (i - 2) <= 0 then i else 1) + (x * 2)),x,1)
A052996: 1 3 8 17 35 71 143 287 575 1151 2303 4607 9215 18431 36863 73727
loop(\(x,i).(loop(\(x,i).(i * x),i,1) + (x * 2)),x,1)
A233449: 1 3 8 22 68 256 1232 7504 55328 473536 4575872 49068544 577138688 7381298176 101940887552 1511556143104
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1))
A161168: 2 6 20 72 272 1056 4160 16512 65792 262656 1049600 4196352 16781312 67117056 268451840 1073774592
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,1))
A020522: 0 2 12 56 240 992 4032 16256 65280 261632 1047552 4192256 16773120 67100672 268419072 1073709056
loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(x * 2),x,1))
A242985: 3 8 24 80 288 1088 4224 16640 66048 263168 1050624 4198400 16785408 67125248 268468224 1073807360
loop(\(x,i).(x - i),(x + 1),loop(\(x,i).(x * 2),x,1))
A014846: 0 ~1 ~2 ~2 1 11 36 92 211 457 958 1970 4005 8087 16264 32632
loop(\(x,i).(x * x),(x - 1),loop(\(x,i).(x * 2),x,1))
A088321: 1 2 16 4096 4294967296 4611686018427387903
A061301: 1 2 16 4096 4294967296 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,1) + loop(\(x,i).(x * 2),x,1))
A007611: 2 3 6 14 40 152 784 5168 40576 363392 3629824 39918848 479005696 6227028992 87178307584 1307674400768
(loop(\(x,i).(i * x),x,1) - loop(\(x,i).(x * 2),x,1))
A123642: 0 ~1 ~2 ~2 8 88 656 4912 40064 362368 3627776 39914752 478997504 6227012608 87178274816 1307674335232
loop(\(x,i).((x - 1) * x),2,loop(\(x,i).(x * 2),x,1))
A020524: 0 2 132 3080 57360 983072 16252992 264241280 4261413120 68451041792 1097364145152 17575006177280 281337537761280 4502500115750912 72048797944922112 1152851135862702080
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,1))
A099393: 1 5 19 71 271 1055 4159 16511 65791 262655 1049599 4196351 16781311 67117055 268451839 1073774591
loop(\(x,i).((x * 2) - 1),x,loop(\(x,i).(x * 2),x,1))
A318165: 1 3 13
A020515: 1 3 13 57 241 993 4033 16257 65281 261633 1047553 4192257 16773121 67100673 268419073 1073709057
loop(\(x,i).((if (x - 2) <= 0 then 0 else x) + (x * 2)),x,1)
A025579: 1 2 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292
loop(\(x,i).((if (i - 2) <= 0 then 1 else x) + (x * 2)),x,1)
A141495: 1 3 7 21 63 189 567 1701 5103 15309 45927 137781 413343 1240029 3720087 11160261
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + (x * 2)),x,1)
A006088: 1 4 24 240 4320 146880 9694080 1260230400 325139443200 167121673804800 171466837323724800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i - 2) <= 0 then i else x) + (x * 2)),x,1)
A080923: 1 3 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584
loop(\(x,i).((if (x - 2) <= 0 then 1 else i) * (x * 2)),x,1)
A121892: 1 2 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800
loop(\(x,i).loop(\(x,i).((0 - x) * 2),i,(x * 2)),x,1)
A127945: 1 ~4 ~32 512 16384 ~1048576 ~134217728 34359738368 17592186044416 ~18014398509481984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(0 - x),x,loop(\(x,i).(i - (x * 2)),x,1))
A006904: 1 1 4 5 14 23 52 97 202 395 800 1589 3190 6367 12748 25481
loop(\(x,i).loop(\(x,i).(x * x),(x - i),(x * 2)),x,1)
A275203: 1 2 4 64
A279969: 1 2 4 64 4611686018427387903
loop(\(x,i).(x * 2),(x - 1),((if x <= 0 then 2 else x) - 1))
A097064: 1 0 2 8 24 64 160 384 896 2048 4608 10240 22528 49152 106496 229376
loop(\(x,i).(x * 2),(x - 2),((if x <= 0 then 2 else x) - 1))
A097067: 1 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688
loop(\(x,i).((x + 1) * 2),x,((if x <= 0 then 2 else x) - 1))
A058966: 1 2 10 30 78 190 446 1022 2302 5118 11262 24574 53246 114686 245758 524286
(loop(\(x,i).((x * 2) * 2),x,(if x <= 0 then 2 else x)) - 1)
A060416: 1 3 31 191 1023 5119 24575 114687 524287 2359295 10485759 46137343 201326591 872415231 3758096383 16106127359
(loop(\(x,i).loop(\(x,i).((i - x) div 2),x,x),2,x) + 1)
A143977-A115265: 1 1 1 1 2 1 2 2 2 2 2 3 3 3 2 2
loop(\(x,i).(x * 2),x,loop(\(x,i).((x * x) * 2),x,1))
A028369: 1 4 32 1024 524288 68719476736 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,x) div 2),x,1)
A098695: 1 1 4 96 18432 35389440 815372697600 263006617337856000 4611686018427387903 4611686018427387903 4611686018427387903
(if ((2 + 2) mod (if x <= 0 then 1 else x)) <= 0 then 0 else (x + 1))
A333479: 0 0 0 4 0 6 7 8 9 10 11 12 13 14 15 16
(if (if (x mod 2) <= 0 then x else (2 - x)) <= 0 then 0 else (x + 1))
A296065: 0 2 3 0 5 0 7 0 9 0 11 0 13 0 15 0
(loop(\(x,i).loop(\(x,i).(i * x),x,2),x,1) * (x + 1))
A175718-A173603: 1 4 12 192 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),x,1),(x mod 2),(x + 1))
A223925: 1 4 3 16 5 64 7 256 9 1024 11 4096 13 16384 15 65536
loop(\(x,i).loop(\(x,i).i,(x - (i + 1)),x),x,(x + 1))
A066041: 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2
loop(\(x,i).((if (i - 2) <= 0 then i else x) + x),x,(x + 1))
A129954: 1 3 6 14 32 72 160 352 768 1664 3584 7680 16384 34816 73728 155648
(loop(\(x,i).(x - (if x <= 0 then 1 else i)),x,x) + (x + 1))
A131818: 1 2 2 3 2 3 4 2 3 4 5 2 3 4 5 6
loop(\(x,i).(if (x mod (i + 1)) <= 0 then i else x),x,(x + 1))
A346466-A187730-A057237-A049559: 1 1 2 1 4 1 6 1 2 1 10 1 12 1 2 1
loop(\(x,i).(x * x),x,loop(\(x,i).(i * x),x,(x + 1)))
A283260: 1 4 1296 110075314176 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * i) * x),i,x),x,(x + 1))
A108078: 1 2 12 576 414720 7166361600 4334215495680000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).i,(x - (i * i)),x),x,(x + 1))
A064866: 1 1 2 3 4 1 2 3 4 5 6 7 8 9 1 2
loop(\(x,i).((if (x - i) <= 0 then (x * 2) else 0) + x),x,1)
A064235: 1 3 3 9 9 9 9 9 9 27 27 27 27 27 27 27
loop(\(x,i).((if (i mod 2) <= 0 then 1 else i) * (0 - x)),x,1)
A055634: 1 ~1 1 ~3 3 ~15 15 ~105 105 ~945 945 ~10395 10395 ~135135 135135 ~2027025
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1)
A194965-A194905-A133994-A023121-A002260: 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1
loop(\(x,i).(loop(\(x,i).((i * i) + x),i,0) * x),x,1)
A135438: 1 1 5 70 2100 115500 10510500 1471470000 300179880000 85551265800000 32937237333000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (x - 2) <= 0 then x else 1) + 1) * x),x,1)
A111286: 1 2 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + x),x,1)
A067078: 1 2 3 5 11 35 155 875 5915 46235 409115 4037915 43954715 522956315 6749977115 93928268315
loop(\(x,i).(x div 2),x,loop(\(x,i).((2 + 1) * x),x,1))
A002379: 1 1 2 3 5 7 11 17 25 38 57 86 129 194 291 437
loop(\(x,i).((if (i mod 2) <= 0 then x else (2 + 1)) + x),x,1)
A220753: 1 4 8 11 22 25 50 53 106 109 218 221 442 445 890 893
loop(\(x,i).(loop(\(x,i).(i * x),i,(2 + 1)) - x),x,1)
A122972: 1 2 4 14 58 302 1858 13262 107698 980942 9905458 109844942 1327159858 17353902542 244180971058 3678842132942
loop(\(x,i).((if (i mod 2) <= 0 then (x * 2) else 1) + x),x,1)
A220946: 1 2 6 7 21 22 66 67 201 202 606 607 1821 1822 5466 5467
loop(\(x,i).i,loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1)
A322250: 1 1 2 1 4 2 6 1 8 4 10 2 12 6 14 1
loop(\(x,i).(loop(\(x,i).(i * x),(i * 2),1) + x),x,1)
A138525: 1 3 27 747 41067 3669867 482671467 87660962667 21010450850667 6423384156578667 2439325392333218667 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) + 1),i,1) * x),x,1)
A294352: 1 2 10 160 10400 3390400 6635012800 90899675360000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - (x * 2)),i,1) * x),x,1)
A015013: 1 ~1 ~3 15 165 ~3465 ~148995 12664575 2165642325 ~738484032825 ~504384594419475 688484971382583375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + x),x,1)
A112368: 1 3 11 59 443 4283 50363 695483 11017403 196811963 3912703163 85662309563 2047652863163 53059407256763 1481388530277563 44331262220901563
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) - x),x,1)
A290044: 1 1 7 41 343 3497 42583 602537 9719383 176075177 3539816023 78209790377 1883780763223 49127973630377 1379201149390423 41470672541233577
loop(\(x,i).loop(\(x,i).((2 + 1) * x),(i + 1),x),x,1)
A217628: 1 9 243 19683 4782969 3486784401 7625597484987 50031545098999707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),i,(i + 1)) * x),x,1)
A005832: 1 4 324 21233664 3240000000000000000 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),i,(i - 1)) + x),x,1)
A132371: 1 1 3 15 87 567 4167 34407 316647 3219687 35878887 435046887 5704064487 80428314087 1213746099687 19521187251687
loop(\(x,i).(loop(\(x,i).((i + 2) * x),i,1) + x),x,1)
A345889: 1 4 16 76 436 2956 23116 204556 2018956 21977356 261478156 3374988556 46964134156 700801318156 11162196262156 189005910310156
loop(\(x,i).(loop(\(x,i).((0 - i) * x),i,1) + x),x,1)
A058006: 1 0 2 ~4 20 ~100 620 ~4420 35900 ~326980 3301820 ~36614980 442386620 ~5784634180 81393657020 ~1226280710980
loop(\(x,i).(loop(\(x,i).((i * i) * x),i,1) + x),x,1)
A061062: 1 2 6 42 618 15018 533418 25935018 1651637418 133333531818 13301522971818 1606652445211818 231049185247771818 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then 2 else (0 - 2)) * x),x,1)
A120617: 1 ~2 ~4 8 16 ~32 ~64 128 256 ~512 ~1024 2048 4096 ~8192 ~16384 32768
loop(\(x,i).(((if (2 - x) <= 0 then 2 else 1) + 2) * x),x,1)
A002001: 1 3 12 48 192 768 3072 12288 49152 196608 786432 3145728 12582912 50331648 201326592 805306368
loop(\(x,i).(((if (i mod 2) <= 0 then x else 1) * 2) + x),x,1)
A220944: 1 3 9 11 33 35 105 107 321 323 969 971 2913 2915 8745 8747
loop(\(x,i).(((if (i - 2) <= 0 then i else 1) + 2) * x),x,1)
A027327: 1 3 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292 19131876
loop(\(x,i).(loop(\(x,i).((x * x) + 2),2,2) * x),x,1)
A009982: 1 38 1444 54872 2085136 79235168 3010936384 114415582592 4347792138496 165216101262848 6278211847988224 238572050223552512 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then x else (2 + 2)) + x),x,1)
A224692: 1 5 10 14 28 32 64 68 136 140 280 284 568 572 1144 1148
loop(\(x,i).((if (2 - x) <= 0 then x else (2 + 2)) + x),x,1)
A146523: 1 5 10 20 40 80 160 320 640 1280 2560 5120 10240 20480 40960 81920
loop(\(x,i).((if (x - 2) <= 0 then i else (2 + 2)) * x),x,1)
A084509: 1 1 2 6 24 96 384 1536 6144 24576 98304 393216 1572864 6291456 25165824 100663296
loop(\(x,i).(loop(\(x,i).((x + 1) * x),2,2) * x),x,1)
A009986: 1 42 1764 74088 3111696 130691232 5489031744 230539333248 9682651996416 406671383849472 17080198121677824 717368321110468608 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x + 2) * x),2,2) * x),x,1)
A259076: 1 80 6400 512000 40960000 3276800000 262144000000 20971520000000 1677721600000000 134217728000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),((i * 2) * 2),x),x,1)
A268505: 1 24 967680 463520268288000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then 1 else (x * 2)) + x),x,1)
A094025: 1 3 4 12 13 39 40 120 121 363 364 1092 1093 3279 3280 9840
loop(\(x,i).(loop(\(x,i).(x * 2),i,(x * 2)) + x),x,1)
A155104: 1 5 45 765 25245 1640925 211679325 54401586525 27908013887325 28605714234508125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if ((i + 2) - x) <= 0 then x else 2) * x),x,1)
A222011: 1 2 4 8
A167182: 1 2 4 8 64 4096 16777216 281474976710656 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * 2),i,2) * x),x,1)
A076688: 1 8 1024 33554432 72057594037927936 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).((i + 2) * x),x,1))
A233005: 1 1 3 7 22 78 315 1417 7087 38981 233887 1520268 10641881 79814109 638512875 5427359437
loop(\(x,i).loop(\(x,i).((i * x) * 2),(i * 2),x),x,1)
A137565: 1 8 3072 141557760 1461147874099200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i + 1) * x),(i * 2),x),x,1)
A168467: 1 6 720 3628800 1316818944000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * i) * x),(i * 2),x),x,1)
A097476: 1 4 2304 1194393600 1941728542064640000 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else x) + x),x,1)
A005018: 1 2 4 5 10 20
loop(\(x,i).((if (x mod 2) <= 0 then (2 + 1) else x) + x),x,1)
A172411: 1 2 5 10
A185647: 1 2 5 10 13 26 29 58 61 122 125 250 253 506 509 1018
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) + x),x,1)
A028361: 1 2 6 30 270 4590 151470 9845550 1270075950 326409519150 167448083323950 171634285407048750 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((if (2 - i) <= 0 then x else 2) + x),x,x) + 1)
A132750: 1 4 9 21 49 113 257 577 1281 2817 6145 13313 28673 61441 131073 278529
loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + (x * x)),x,1)
A318165: 1 3 13
A168320: 1 3 13 177 31345 982509057 965324047087029313 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,(x * x)) + x),x,1)
A097421: 1 3 39 12207 2384185791 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,x) - x),x,1)
A027637: 1 3 45 2835 722925 739552275 3028466566125 49615367752825875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((0 - x) * 2),i,x) - x),x,1)
A216206: 1 ~3 ~9 81 1215 ~40095 ~2525985 325852065 83092276575 ~42626337882975 ~43606743654283425 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,x) - x),x,1)
A027871: 1 2 16 416 33280 8053760 5863137280 12816818094080 84078326697164800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(i * x),i,i) + x) + x),x,1)
A188545: 1 3 10
A140710: 1 3 10 38 172 944 6208 47696 417952 4101824 44491648 528068096 6804155392 94559581184 1409615239168 22434345998336
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else i) * x),x,1)
A232980: 1 1 2 2 8 40 40 280 2240 2240 22400 246400 246400 3203200 44844800 44844800
loop(\(x,i).loop(\(x,i).(i * x),((2 + 1) * i),x),x,1)
A268504: 1 6 4320 1567641600 750902834626560000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),((i - 1) * i),x),x,1)
A272168: 1 1 2 1440 689762304000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * i) * (x * 2)),i,x),x,1)
A091804: 1 2 32 9216 84934656 39137889484800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (i + x)),x,1)
A135287: 1 2 1 4 2 1 7 14 7 16 8 4 2 1 15 30
loop(\(x,i).(x * x),1,loop(\(x,i).(1 - (i * x)),x,1))
A335691: 1 0 1 4 81 1936 70225 3437316 220017889 17821182016 1782120871521 215636596084900 31051670188655281 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),(x - 1),(i * x)),x,1)
A073581: 1 1 2 36 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + (i * x)),x,1)
A188545: 1 3 10
A010842: 1 3 10 38 168 872 5296 37200 297856 2681216 26813184 294947072 3539368960 46011804672 644165281792 9662479259648
loop(\(x,i).((if (i mod 2) <= 0 then i else 1) + (i * x)),x,1)
A344317: 1 2 6 19 80 401 2412 16885 135088 1215793 12157940 133737341 1604848104 20863025353 292082354956 4381235324341
loop(\(x,i).loop(\(x,i).(x * 2),(i - 1),(i * x)),x,1)
A011266: 1 1 4 48 1536 122880 23592960 10569646080 10823317585920 24936923717959680 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(i * x),x,1))
A020547: 0 0 2 30 552 14280 517680 25396560 1625662080 131681531520 13168185811200 1593350882323200 229442532323558400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(x - 2),loop(\(x,i).(i * x),x,1))
A280420: 1 1 2 36 331776 42998169600000000 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).(i * x),x,1))
A228448: 1 0 0 0 0 0 0 2 6 18 61 225 901 3905 18226 91134
loop(\(x,i).(x div (2 + 2)),x,loop(\(x,i).(i * x),x,1))
A228449: 1 0 0 0 0 0 0 0 0 1 3 9 28 92 324 1217
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + (i * x)),x,1)
A277355: 1 3 18 198 3960 146520 10256400 1384614000 365538096000 190445348016000 196920489848544000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x mod 2) <= 0 then 1 else i) + (i * x)),x,1)
A344262: 1 2 5 18 73 370 2221 15554 124433 1119906 11199061 123189682 1478276185 19217590418 269046265853 4035693987810
loop(\(x,i).loop(\(x,i).(((i * 2) - 1) * x),i,x),x,1)
A057863: 1 1 3 45 4725 4465125 46414974375 6272287562165625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * i) * (i * x)),i,x),x,1)
A061719: 1 1 8 1728 23887872 41278242816000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((0 - x) * 2),(i * i),x),x,1)
A128146: 1 ~2 ~32 16384 1073741824 ~36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),(x - 1),1) + i),x,1)
A218129: 1 2 4 11 1028
loop(\(x,i).(((if (i mod 2) <= 0 then 1 else i) + x) * i),x,1)
A344495: 1 2 6 27 112 585 3516 24661 197296 1775745 17757460 195332181 2343986184 30471820561 426605487868 6399082318245
((if (x mod 2) <= 0 then (if x <= 0 then 1 else (2 + 2)) else 0) + 2)
A040008: 3 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2
(if x <= 0 then 1 else (loop(\(x,i).((x + 2) * 2),x,0) - 2))
A131130: 1 2 10 26 58 122 250 506 1018 2042 4090 8186 16378 32762 65530 131066
(if (x mod 2) <= 0 then ((x * 2) - (if x <= 0 then 0 else 1)) else 2)
A266258: 0 2 3 2 7 2 11 2 15 2 19 2 23 2 27 2
((if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1) + 2)
A276863: 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * 2)
A040015: 4 2 8 2 8 2 8 2 8 2 8 2 8 2 8 2
loop(\(x,i).loop(\(x,i).(x * x),x,x),x,((2 + 1) * 2))
A115528: 6 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((if (x - 2) <= 0 then x else (2 + 1)) + 2))
A128999: 1 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5
(if (x mod 2) <= 0 then (loop(\(x,i).(x * 2),x,2) - 1) else 2)
A282454: 1 2 7 2 31 2 127 2 511 2 2047 2 8191 2 32767 2
loop(\(x,i).((x * 2) * 2),x,((if x <= 0 then 2 else 1) + 2))
A110594: 4 12 48 192 768 3072 12288 49152 196608 786432 3145728 12582912 50331648 201326592 805306368 3221225472
(loop(\(x,i).((2 + 1) * x),x,(if x <= 0 then 2 else 1)) + 2)
A259821: 4 5 11 29 83 245 731 2189 6563 19685 59051 177149 531443 1594325 4782971 14348909
(if (((2 + 2) + 1) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 2)
A055666: 1 1 2 2 2 1 2 2 2 2 2 2 2 2 2 2
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),x,1) + 2))
A052626: 3 4 12 60 432 4080 47520 655200 10402560 186520320 3723148800 81829440000 1962948556800 51024208435200 1428503479603200 42852489039360000
(if x <= 0 then 1 else loop(\(x,i).((i + 2) * x),(x + 1),2))
A342856: 1 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 20922789888000 355687428096000 6402373705728000
(loop(\(x,i).((x + 1) * x),x,1) * (if x <= 0 then 1 else 2))
A226960: 1 4 12 84 3612
loop(\(x,i).(x * 2),(x - (2 + 2)),(if x <= 0 then 1 else 2))
A171869: 1 2 2 2 2 4 8 16 32 64 128 256 512 1024 2048 4096
loop(\(x,i).((i * x) * (2 + 1)),x,(if x <= 0 then 1 else 2))
A098559: 1 6 36 324 3888 58320 1049760 22044960 529079040 14285134080 428554022400 14142282739200 509122178611200 19855764965836800 833942128565145600 4611686018427387903
((loop(\(x,i).(x * 2),x,1) - x) * (if x <= 0 then 1 else 2))
A132732: 1 2 4 10 24 54 116 242 496 1006 2028 4074 8168 16358 32740 65506
loop(\(x,i).((i * x) * (2 + 2)),x,(if x <= 0 then 1 else 2))
A098560: 1 8 64 768 12288 245760 5898240 165150720 5284823040 190253629440 7610145177600 334846387814400 16072626615091200 835776583984742400 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - 1) * x),x,(if x <= 0 then 1 else 2))
A099147: 1 6 66 8646 149497986 44699295486614406 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),x,1) div 2)
A192225: 0 1 2 5
A014288: 0 1 2 5 17 77 437 2957 23117 204557 2018957 21977357 261478157 3374988557 46964134157 700801318157
(loop(\(x,i).(x * 2),x,2) * ((if x <= 0 then 1 else 2) + 2))
A171494: 6 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144
loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 1 else (2 + 2)))
A165422: 1 4 4 16 256 65536 4294967296 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) + 2))
A028403: 4 12 40 144 544 2112 8320 33024 131584 525312 2099200 8392704 33562624 134234112 536903680 2147549184
loop(\(x,i).(i * x),x,(if x <= 0 then 1 else ((x + 2) + 2)))
A052644: 1 5 12 42 192 1080 7200 55440 483840 4717440 50803200 598752000 7664025600 105859353600 1569209241600 24845812992000
loop(\(x,i).(i * x),x,(if x <= 0 then 1 else ((x div 2) + 2)))
A181490: 1 2 6 18
A052687: 1 2 6 18 96 480 3600 25200 241920 2177280 25401600 279417600 3832012800 49816166400 784604620800 11769069312000
(if x <= 0 then 1 else (loop(\(x,i).(x * x),(x * x),2) * 2))
A123276: 1 8 131072 4611686018427387903 4611686018427387903
((if (x - 1) <= 0 then x else loop(\(x,i).(i - x),x,2)) + 2)
A297996: 2 3 5 2 6 3 7 4 8 5 9 6 10 7 11 8
(if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then x else 2)
A097449: 0 1 2 3 4 5 6 7 2 9 10 11 12 13 14 15
loop(\(x,i).(x * 2),(loop(\(x,i).(x * 2),x,1) - x),2)
A118016: 4 4 8 64 8192 268435456 576460752303423488 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x div 2),((if x <= 0 then 1 else x) mod 2))
A131575: 1 1 0 2 0 4 0 8 0 16 0 32 0 64 0 128
loop(\(x,i).(x * x),2,loop(\(x,i).((x * 2) * 2),x,2))
A013721: 16 4096 1048576 268435456 68719476736 17592186044416 4503599627370496 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 div loop(\(x,i).(if (i - x) <= 0 then 1 else (x * 2)),x,2))
A228817: 1 2 1 0 2
A156319: 1 2 1 0 2 1 0 0 2 1 0 0 0 2 1 0
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,2))
A028402: 6 20 72 272 1056 4160 16512 65792 262656 1049600 4196352 16781312 67117056 268451840 1073774592 4295032832
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,2))
A092431: 2 9 35 135 527 2079 8255 32895 131327 524799 2098175 8390655 33558527 134225919 536887295 2147516415
loop(\(x,i).((x + 1) * 2),x,loop(\(x,i).(x * 2),x,2))
A143960: 2 10 38 142 542 2110 8318 33022 131582 525310 2099198 8392702 33562622 134234110 536903678 2147549182
loop(\(x,i).(if (x mod (i + 1)) <= 0 then i else x),x,(x + 2))
A251758: 2 3 1 5 1 7 1 2 1 11 1 13 1 2 1 17
(if (x mod 2) <= 0 then (2 - (if x <= 0 then 1 else x)) else (x - 2))
A105811: 1 ~1 0 1 ~2 3 ~4 5 ~6 7 ~8 9 ~10 11 ~12 13
(if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 1) else (x * 2))
A267352: 1 2 3 6 3 10 3 14 3 18 3 22 3 26 3 30
(if x <= 0 then 1 else (if (x - (2 + 1)) <= 0 then x else (x * 2)))
A057543: 1 1 2 3 8 10 12 14 16 18 20 22 24 26 28 30
loop(\(x,i).loop(\(x,i).(i * x),x,1),(x mod 2),(x div 2))
A116447: 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 5040
loop(\(x,i).(if (x - 1) <= 0 then i else (x * x)),x,(x div 2))
A266198: 0 1 2 4 65536
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else (x mod 2))
A098178: 1 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1
loop(\(x,i).loop(\(x,i).(x * x),x,2),(x div 2),(x mod 2))
A014221: 0 1 2 4 16 65536
(2 - (if (x - 2) <= 0 then (if x <= 0 then 1 else x) else (x mod 2)))
A288699: 1 1 0 1 2 1 2 1 2 1 2 1 2 1 2 1
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(0 - x),x,2))
A135440: ~1 4 2 10 14 34 62 130 254 514 1022 2050 4094 8194 16382 32770
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(0 - x),x,2))
A092297: 0 6 6 18 30 66 126 258 510 1026 2046 4098 8190 16386 32766 65538
loop(\(x,i).(x div 2),x,loop(\(x,i).((2 + 1) * x),x,2))
A147788: 2 3 4 6 10 15 22 34 51 76 115 172 259 389 583 875
loop(\(x,i).((loop(\(x,i).(x * x),i,2) + 2) * x),x,2)
A092124: 2 12 216 55728 3652301664 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * x),x,2))
A330825: 6 20 272 65792 4295032832
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * x),x,2))
A111403: 2 12 240 65280 4294901760 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,x) + x),x,2)
A323716: 2 8 80 2240 183680 44817920 32717081600 71584974540800 469740602936729600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * i) * x),i,x) + x),x,2)
A325050: 2 4 20 740 426980 6148938980 3187616116170980 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) div 2)
A180918: 0 0 1 0 1 1 0 2 1 1 0 2 2 1 1 0
((if (x - 1) <= 0 then 1 else (if (x mod 2) <= 0 then 2 else 0)) + x)
A114112-A113981: 1 2 4 3 6 5 8 7 10 9 12 11 14 13 16 15
((if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) div 2) else 0) + x)
A257143: 1 1 3 3 6 5 9 7 12 9 15 11 18 13 21 15
(if (x mod 2) <= 0 then (if x <= 0 then 1 else (x * 2)) else (0 - x))
A280166: 1 ~1 4 ~3 8 ~5 12 ~7 16 ~9 20 ~11 24 ~13 28 ~15
(loop(\(x,i).((if x <= 0 then i else x) - 1),(x * 2),1) + x)
A010078: 1 2 5 4 11 10 9 8 23 22 21 20 19 18 17 16
loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x))
A194908-A167289-A167288-A102482-A023122-A004736: 1 2 1 3 2 1 4 3 2 1 5 4 3 2 1 6
loop(\(x,i).((if (2 - x) <= 0 then x else 2) + x),x,(1 - x))
A323383: 1 2 3 4 6 8 12
A029744-A018635: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256
loop(\(x,i).((if (i - 2) <= 0 then 2 else x) + x),x,(1 - x))
A172160: 1 2 3 4 4 0 ~16 ~64 ~192 ~512 ~1280 ~3072 ~7168 ~16384 ~36864 ~81920
loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,1) - x))
A186947: 1 2 8 40 192 864 3712 15488 63488 257536 1038336 4171776 16728064 67002368 268206080 1073250304
(loop(\(x,i).((i * x) * 2),x,2) div (if x <= 0 then 1 else x))
A064378: 2 4 8 32 192 1536 15360 184320 2580480 41287680 743178240 14863564800 326998425600 7847962214400 204047017574400 5713316492083200
(loop(\(x,i).(x * 2),(x - 2),x) + (if x <= 0 then 1 else x))
A227978: 1 2 4 9 20 45 102 231 520 1161 2570 5643 12300 26637 57358 122895
(if x <= 0 then 1 else loop(\(x,i).(i * x),((x - 1) * 2),x))
A327882: 1 1 4 72 2880 201600 21772800 3353011200 697426329600 188305108992000 64023737057280000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) - 2) else (2 - x))
A097141: 0 1 0 ~1 2 ~3 4 ~5 6 ~7 8 ~9 10 ~11 12 ~13
loop(\(x,i).((if (x - 1) <= 0 then i else (2 + 2)) + x),2,x)
A169911: 3 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23
loop(\(x,i).(if x <= 0 then 1 else ((i + 2) * x)),(x + 2),x)
A034866: 4 60 720 7560 80640 907200 10886400 139708800 1916006400 28021593600 435891456000 7192209024000 125536739328000 2311968282624000 44816615940096000 912338253066240000
loop(\(x,i).loop(\(x,i).((2 + 1) * x),i,x),(x - 2),x)
A219116: 0 1 2 9 108 3645 354294 100442349 83682825624 205891132094649 1500946352969991210 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i - x) <= 0 then i else 0) - x),(x * 2),x)
A053186: 0 0 1 2 0 1 2 3 4 0 1 2 3 4 5 6
loop(\(x,i).loop(\(x,i).(x * 2),(x div 2),2),(x mod 2),x)
A138219: 0 2 2 4 4 8 6 16 8 32 10 64 12 128 14 256
loop(\(x,i).(x * 2),(x - 2),(1 mod (if x <= 0 then 2 else x)))
A034008: 1 0 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192
(if (x mod 2) <= 0 then (if x <= 0 then 1 else ((x * x) - 2)) else x)
A027673: 1 1 2 3 14
loop(\(x,i).(x - (if (i - x) <= 0 then (i * 2) else 0)),x,x)
A196199: 0 ~1 0 1 ~2 ~1 0 1 2 ~3 ~2 ~1 0 1 2 3
loop(\(x,i).loop(\(x,i).((x + 2) mod (i + 1)),x,0),x,x)
A071055: 0 0 2 0 2 2 6 0 2 2 6 2 6 6 14 0
(x - loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x))
A057944: 0 1 1 3 3 3 6 6 6 6 10 10 10 10 10 15
(x - loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 1)),x,x))
A061885: 0 2 3 6 7 8 12 13 14 15 20 21 22 23 24 30
(0 - loop(\(x,i).((x - (if x <= 0 then 1 else i)) - 1),x,x))
A138083: 0 1 2 4 5 6
A063656: 0 1 2 4 5 6 9 10 11 12 16 17 18 19 20 25
(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x))
A330238-A122200-A025683-A025677-A025676-A025671-A025670-A025669-A025662-A025661-A025660-A025652-A025651-A025646-A025581: 0 1 0 2 1 0 3 2 1 0 4 3 2 1 0 5
loop(\(x,i).(x - ((if (i - x) <= 0 then i else 0) div 2)),x,x)
A322832: 0 1 1 2 2 3 2 3 4 3 4 5 3 4 5 6
loop(\(x,i).((if (2 - i) <= 0 then x else 1) + (x * 2)),x,x)
A229277: 0 3 15 63 243 891 3159 10935 37179 124659 413343 1358127 4428675 14348907 46235367 148272039
(x - loop(\(x,i).(x - ((if x <= 0 then 0 else i) * 2)),x,x))
A259225: 0 2 2 6 6 6 6 12 12 12 12 12 12 20 20 20
(0 - loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x))
A053187: 0 1 1 4 4 4 4 9 9 9 9 9 9 16 16 16
loop(\(x,i).(x - (x div (if i <= 0 then 1 else (i * 2)))),x,x)
A270362: 0 1 1 2 2 3 3 3 3 4 4 5 5 5 5 5
loop(\(x,i).(loop(\(x,i).(x * x),i,x) * x),2,(x * x))
A122971: 0 1 1073741824 205891132094649 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then (if x <= 0 then 1 else 2) else x) + (x * x))
A238739: 1 2 6 12 18 30
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + x)
A051162: 0 1 2 2 3 4 3 4 5 6 4 5 6 7 8 5
loop(\(x,i).(loop(\(x,i).(x * x),2,(i * 2)) * x),x,x)
A280845: 0 16 8192 15925248 86973087744 1087163596800000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((if (x - 2) <= 0 then 2 else (x * x)) * x))
A189896: 1 2 4 27
(if ((x mod (((2 + 2) * 2) + 1)) - 1) <= 0 then 1 else 0)
A284095-A167700: 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0
(if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 1 else 0)
A340988-A323402-A294266-A294265-A015868: 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
(if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 1 else 0)
A343380-A341027-A304820-A135767-A100910-A015582-A014856: 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
(if ((x - 2) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else 0)
A195470: 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0
(if ((x * x) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else 0)
A336868-A083187: 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0
(if (((x * x) mod ((x + 2) + 1)) - 1) <= 0 then 1 else 0)
A241759-A151667: 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0
(if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0)
A331671-A286996-A214411-A083917-A083894-A079365-A044937-A025459: 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0
(if ((x + 2) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0)
A025458: 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0
(if ((x - 2) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0)
A025455: 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0
(if (x mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 1 else 0)
A325488-A162289-A089010: 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0
(if (x mod ((((2 + 2) * 2) * 2) - 1)) <= 0 then 1 else 0)
A340998-A260813-A085854-A017909-A014376: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
(if (x mod (((x - 1) mod (2 + 2)) + 1)) <= 0 then 1 else 0)
A337263-A214021-A071024: 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1
(if ((x div (0 - 2)) mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A316896-A017877: 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
(if (2 - ((x div 2) mod ((2 + 2) + 1))) <= 0 then 1 else 0)
A102673: 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1
(if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 0)
A065333: 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1
(if ((x + 1) mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else 0)
A317489: 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1
(if ((x * 2) mod (((x + 2) + 2) + 1)) <= 0 then 1 else 0)
A016389-A014059: 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
(if ((x * x) mod (((x - 2) * 2) - 1)) <= 0 then 1 else 0)
A245811: 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1
(if (x mod ((2 - ((x div 2) mod 2)) + 1)) <= 0 then 1 else 0)
A285034: 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0
(if x <= 0 then ((((2 + 1) * 2) * (2 + 1)) + 1) else 0)
A340650: 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if ((x mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 0)
A289034-A285208-A260444: 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0
(if (((x div 2) - 2) - (x div (2 + 1))) <= 0 then 1 else 0)
A340372-A340363-A167851-A167850: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1
(x - (if (2 - x) <= 0 then ((x div (2 + 1)) + 1) else 0))
A131737: 0 1 1 1 2 3 3 4 5 5 6 7 7 8 9 9
(if (((x * x) div 2) mod ((x + 2) + 1)) <= 0 then 1 else 0)
A256432-A113052: 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0
(if (((x div 2) * x) mod ((x + 2) + 1)) <= 0 then 1 else 0)
A274179: 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0
(if (((x * 2) - 1) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A256574-A089801: 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0
(if ((x - (2 + 2)) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A266178: 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0
(if (2 - ((x - 2) mod ((x div 2) + 1))) <= 0 then 1 else 0)
A268238: 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1
(if ((((2 + 2) * 2) + 1) mod (x + 1)) <= 0 then 1 else 0)
A291529-A225569: 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0
(if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then 1 else 0)
A302052-A010052: 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 0)
A036987: 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1
(if (x mod (2 - ((x div 2) div (0 - 2)))) <= 0 then 1 else 0)
A330682: 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0
(if (x mod ((2 + 2) - (x div (0 - 2)))) <= 0 then 1 else 0)
A085976-A017867: 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0
(if (x mod ((((2 + 1) * 2) + 1) * 2)) <= 0 then 1 else 0)
A321448-A320332: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
(if (((x div 2) mod ((2 + 2) + 1)) - 2) <= 0 then 1 else 0)
A204441: 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1
(if ((x - 2) mod (((2 + 2) + 1) * 2)) <= 0 then 1 else 0)
A316863-A269248-A185706: 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0
(if ((x div (((x mod 2) + 2) + 1)) - 2) <= 0 then 1 else 0)
A202022-A188641-A136522: 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0
(if (x mod 2) <= 0 then (((x div (2 + 1)) mod 2) + 1) else 0)
A239704: 1 0 1 0 2 0 1 0 1 0 2 0 1 0 1 0
(if (x - 1) <= 0 then ((((2 - x) + 1) * 2) + 1) else 0)
A152627: 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if (x mod (((x mod (2 + 1)) + 2) * 2)) <= 0 then 1 else 0)
A321375-A321374-A112313: 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0
(if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then 1 else 0)
A294935-A242902-A196368-A178788-A168509: 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1
(if (x mod ((x mod ((2 + 2) * 2)) + 2)) <= 0 then 1 else 0)
A025920: 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0
(if (x mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 1 else 0)
A132918: 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0
(if ((x mod ((x div (2 + 2)) + 2)) - 2) <= 0 then 1 else 0)
A344884: 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1
(if (x mod ((((x mod 2) + 2) + 2) + 2)) <= 0 then 1 else 0)
A066288: 1 0 0 0 0 0 1 1 0 0 0 0 1 0
A333818: 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0
(if ((((x + 1) div 2) mod (2 + 2)) - 2) <= 0 then 1 else 0)
A262045: 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1
(if ((x - (2 + 2)) mod ((2 + 2) * 2)) <= 0 then 1 else 0)
A330551-A079260-A024362: 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0
(if (x mod (((2 - x) mod (2 + 2)) + 2)) <= 0 then 1 else 0)
A267704: 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1
(if ((((x div 2) + x) mod (2 + 2)) - 2) <= 0 then 1 else 0)
A285431-A285421: 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1
(if (x mod ((x - (x div (2 + 2))) + 2)) <= 0 then 1 else 0)
A029442-A017869: 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0
(if (((((x mod 2) * x) div 2) - 2) - 2) <= 0 then 1 else 0)
A228710: 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0
(if ((x - 1) mod (((x div 2) + 2) + 2)) <= 0 then 1 else 0)
A030583: 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0
(if ((x - 2) mod (((x div 2) + 2) + 2)) <= 0 then 1 else 0)
A031234-A030584: 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0
(if ((x div 2) mod (((x div 2) mod 2) + 2)) <= 0 then 1 else 0)
A039963: 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0
(if ((x div 2) mod (((x mod 2) + 2) + 2)) <= 0 then 1 else 0)
A281814: 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0
(if (((x + 2) div (2 + 1)) mod (2 + 2)) <= 0 then 1 else 0)
A025926-A017888: 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0
(if ((((x div 2) * x) + 2) mod (2 + 2)) <= 0 then 1 else 0)
A189624: 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0
(2 - (if (x - 1) <= 0 then (x - ((2 + 2) + 1)) else 0))
A138096: 7 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2
(if (x mod (2 + 2)) <= 0 then (x div ((2 + 2) + 1)) else 0)
A047753: 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0
(if ((((x div 2) - 1) * x) mod (2 + 2)) <= 0 then 1 else 0)
A104106: 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0
(if ((x mod (2 + 2)) - (x div (2 + 2))) <= 0 then 1 else 0)
A165190: 1 0 0 0 1 1 0 0 1 1 1 0 1 1 1 1
(if (x mod (((2 + 2) mod (x + 2)) + 2)) <= 0 then 1 else 0)
A278169-A267423-A262693-A005369: 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0
(if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 1 else 0)
A297240-A292150-A234323-A224772-A162782-A133010-A123545-A086080-A056649-A047766-A036859-A035677: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
(if (((x * x) - 2) mod ((x + 2) + 2)) <= 0 then 1 else 0)
A025456: 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0
(if (((x * x) + 2) mod ((x div 2) + 2)) <= 0 then 1 else 0)
A087032: 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0
(if (((x * x) - 2) mod ((x div 2) + 2)) <= 0 then 1 else 0)
A017887: 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0
(if ((2 + 1) mod ((x div 2) + 1)) <= 0 then (2 + 1) else 0)
A269707: 3 3 0 0 3 3 0 0 0 0 0 0 0 0 0 0
(x - (if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else 0))
A186101: 0 1 2 2 4 5 4 7 8 6 10 11 8 13 14 10
(if ((((2 + 2) + 1) * 2) mod (x + 2)) <= 0 then 1 else 0)
A227291: 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0
loop(\(x,i).(((i * i) * i) + x),((x + 2) + 1),0)
A250813: 36 100 225 441 784 1296 2025 3025 4356 6084 8281 11025 14400 18496 23409 29241
(((x mod 2) + (x * 2)) + (if (x - 2) <= 0 then 1 else 0))
A005556: 1 4 5 7 8 11
loop(\(x,i).(((i + 2) * i) + x),((x * 2) + 1),0)
A269342: 3 26 85 196 375 638 1001 1480 2091 2850 3773 4876 6175 7686 9425 11408
loop(\(x,i).((i * x) + (i mod 2)),((x * 2) - 1),0)
A051397: 0 1 7 141 5923 426457 46910271 7318002277 1536780478171 418004290062513 142957467201379447 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (((2 + 2) * 2) - (x div 2))) <= 0 then 1 else 0)
A091426-A054907-A014671: 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1
(if ((x - 1) mod (2 + 2)) <= 0 then ((x div 2) + 1) else 0)
A195938: 0 1 0 0 0 3 0 0 0 5 0 0 0 7 0 0
(if (((x + 1) mod ((2 + 2) * 2)) * x) <= 0 then 1 else 0)
A284093: 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
(if (((x - 1) mod ((2 + 2) * 2)) * x) <= 0 then 1 else 0)
A004530: 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0
(if ((((2 + 2) * 2) mod (x + 2)) - x) <= 0 then 1 else 0)
A162519: 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1
(if ((((x - 2) * 2) mod (x + 2)) - x) <= 0 then 1 else 0)
A307223-A063053: 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).((i * i) + x),(((x + 2) * x) + 1),0)
A113754: 1 30 285 1496 5525 16206 40425 89440 180441 338350 597861 1005720 1623245 2529086 3822225 5625216
loop(\(x,i).((((i * i) * 2) + x) + 1),(x + 1),0)
A037237: 3 12 31 64 115 188 287 416 579 780 1023 1312 1651 2044 2495 3008
loop(\(x,i).(((2 + 2) * 2) * (x + 1)),(x + 1),0)
A052379: 8 72 584 4680 37448 299592 2396744 19173960 153391688 1227133512 9817068104 78536544840 628292358728 5026338869832 40210710958664 321685687669320
loop(\(x,i).(((i * i) * i) + (x * 2)),(x + 1),0)
A213575: 1 10 47 158 441 1098 2539 5590 11909 24818 50967 103662 209521 421786 846947 1697990
loop(\(x,i).(((i * i) * (i div 2)) + x),(x + 1),0)
A285188: 0 4 13 45 95 203 350 606 930 1430 2035 2899 3913 5285 6860 8908
loop(\(x,i).((((i div 2) + x) * i) + x),(x + 1),0)
A080049: 0 2 11 63 388 2734 21893 197069 1970726 21678036 260136487 3381774403 47344841720 710172625898 11362762014473 193166954246169
((x + 1) - loop(\(x,i).((x - 2) * 2),(x - 1),0))
A132738: 1 2 7 16 33 66 131 260 517 1030 2055 4104 8201 16394 32779 65548
loop(\(x,i).(((i + x) * 2) - (i mod 2)),(x - 1),0)
A171507: 0 0 1 6 17 42 93 198 409 834 1685 3390 6801 13626 27277 54582
loop(\(x,i).(((i + x) * (2 + 2)) - x),(x - 1),0)
A061981: 0 0 4 20 72 232 716 2172 6544 19664 59028 177124 531416 1594296 4782940 14348876
loop(\(x,i).((((i + x) + x) * 2) + x),(x - 1),0)
A185055: 0 0 2 14 76 388 1950 9762 48824 244136 1220698 6103510 30517572 152587884 762939446 3814697258
((((x * x) + (2 + 2)) * 2) + (if x <= 0 then 1 else 0))
A003135: 9 10 16
(((((2 + 2) * 2) * 2) + x) - (if x <= 0 then 1 else 0))
A043704-A043669: 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 0)
A295663-A138045: 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0
(if (x mod 2) <= 0 then (x mod (((2 + 2) + 1) * 2)) else 0)
A001613: 0 0 2 0 4 0 6 0 8 0 0 0 2 0 4 0
loop(\(x,i).(i + x),(x mod (((2 + 2) + 1) * 2)),0)
A107082: 0 1 3 6 10 15 21 28 36 45 0 1 3 6 10 15
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 0)
A230730-A230614-A127268-A112053: 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0
(if (2 - x) <= 0 then (((x mod 2) * (2 + 1)) + 2) else 0)
A021400: 0 0 2 5 2 5 2 5 2 5 2 5 2 5 2 5
(x - (1 - (if (x mod 2) <= 0 then ((2 + 1) * 2) else 0)))
A168195: 5 0 7 2 9 4 11 6 13 8 15 10 17 12 19 14
(if (x mod 2) <= 0 then ((2 - (x div (2 + 1))) div 2) else 0)
A016334-A015829-A015549: 1 0 1 0 0 0 0 0 0 0 ~1 0 ~1 0 ~1 0
((((x + 2) + 2) * 2) + (if (x - 1) <= 0 then 2 else 0))
A301860: 10 12 12 14 16
(if (x mod (2 + 1)) <= 0 then ((x div (0 - 2)) mod 2) else 0)
A277145: 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0
(if x <= 0 then (((((2 + 1) * 2) + 1) * 2) * 2) else 0)
A243105: 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 0)
A103270: 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0
(1 - (if ((x - 1) mod ((2 + 2) * 2)) <= 0 then 2 else 0))
A071936: 1 ~1 1 1 1 1 1 1 1 ~1 1 1 1 1 1 1
(if ((x + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0)
A226557: 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0
(x - (if (2 - x) <= 0 then (1 - ((2 + 2) * 2)) else 0))
A171892: 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22
(x - (if (x mod 2) <= 0 then ((x div (2 + 2)) * 2) else 0))
A212831: 0 1 2 3 2 5 4 7 4 9 6 11 6 13 8 15
(if (x mod (((2 + 2) mod (x + 2)) + 2)) <= 0 then 2 else 0)
A089800: 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0
(1 - (if ((x - 1) mod (2 + 2)) <= 0 then (2 + 2) else 0))
A176563: 1 ~3 1 1 1 ~3 1 1 1 ~3 1 1 1 ~3 1 1
(x - (1 - (if (x mod (2 + 2)) <= 0 then (2 + 2) else 0)))
A263313: 3 0 1 2 7 4 5 6 11 8 9 10 15 12 13 14
(x - (1 - (if ((x div 2) mod 2) <= 0 then (2 + 2) else 0)))
A256008: 3 4 1 2 7 8 5 6 11 12 9 10 15 16 13 14
(if (x mod ((2 + 2) + 1)) <= 0 then ((x mod 2) * 2) else 0)
A241541: 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2
(if (x - (2 + 2)) <= 0 then (1 - ((x mod 2) * 2)) else 0)
A014379-A014319-A014299-A014239-A014199-A014179: 1 ~1 1 ~1 1 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((((x + 2) * i) * x) + 1),(x + 2),0)
A010332: 7 190
loop(\(x,i).((((x + 2) + 2) + 2) * 2),(x + 2),0)
A226264: 36 84 180 372 756 1524 3060 6132 12276 24564 49140 98292 196596 393204 786420 1572852
loop(\(x,i).(((i div 2) * x) + (i mod 2)),(x + 2),0)
A007876: 1 2 4 9 27 82 328 1313 6565 32826 196956 1181737 8272159 57905114 463240912 3705927297
loop(\(x,i).(((i * i) div (2 + 2)) + x),(x + 2),0)
A002623: 1 3 7 13 22 34 50 70 95 125 161 203 252 308 372 444
loop(\(x,i).((((i * i) div 2) * i) + x),(x + 2),0)
A006009: 4 16 48 108 216 384 640 1000 1500 2160 3024 4116 5488 7168 9216 11664
(1 - loop(\(x,i).((x - (i mod 2)) * 2),(x - 2),0))
A152046: 1 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923
loop(\(x,i).((((i - 1) * i) + x) + x),(x - 2),0)
A324172: 0 0 0 0 2 10 32 84 198 438 932 1936 3962 8034 16200 32556
loop(\(x,i).(((x * 2) * (0 - 2)) - 1),(x * 2),0)
A182512: 0 3 51 819 13107 209715 3355443 53687091 858993459 13743895347 219902325555 3518437208883 56294995342131 900719925474099 14411518807585587 230584300921369395
loop(\(x,i).(((0 - 2) - 2) * (x + 1)),(x * 2),0)
A108020: 0 12 204 3276 52428 838860 13421772 214748364 3435973836 54975581388 879609302220 14073748835532 225179981368524 3602879701896396 57646075230342348 922337203685477580
(1 - loop(\(x,i).((x - (2 + 2)) * 2),(x * 2),0))
A141722: 1 25 121 505 2041 8185 32761 131065 524281 2097145 8388601 33554425 134217721 536870905 2147483641 8589934585
loop(\(x,i).(((i div 2) + x) + (x * 2)),(x * 2),0)
A004004: 0 1 14 135 1228 11069 99642 896803 8071256 72641337 653772070 5883948671 52955538084 476599842805 4289398585298 38604587267739
(if (x mod (((2 + 2) * 2) + 1)) <= 0 then (x div 2) else 0)
A236378-A005873: 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0
(if ((x + 2) mod ((x mod 2) + 2)) <= 0 then (x div 2) else 0)
A046667: 0 0 1 0 2 0 3 3 4 0 5 0 6 6 7 0
(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0)
A316864: 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0
(((((x + 2) + 2) * 2) * 2) + (if x <= 0 then 2 else 0))
A295745: 18 20 24
loop(\(x,i).((x mod ((i mod (x + 1)) + 1)) + 1),x,0)
A137866: 0 1 1 2 1 2 1 2 3 2 1 2 1 2 3 4
(if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then x else 0)
A321803-A321797-A321538: 0 0 0 0 0 0 0 0 0 0 0 11 0 0 0 0
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),x,0)
A002452: 0 1 10 91 820 7381 66430 597871 5380840 48427561 435848050 3922632451 35303692060 317733228541 2859599056870 25736391511831
loop(\(x,i).(((x * 2) - (x mod (2 + 1))) + 1),x,0)
A295484: 0 1 2 3 7
A073827: 0 1 2 3 7 14
A294627: 0 1 2 3 7 14 27 55 110 219 439 878 1755 3511 7022 14043
loop(\(x,i).(x - ((x div ((0 - i) - 1)) - 1)),x,0)
A092757: 0 1 3 5 7 10 13 16 19 22 25 29 33 37 41 45
loop(\(x,i).(x - (((1 - x) div (i + 1)) - 1)),x,0)
A061168: 0 1 2 4 6 8 10 13 16 19 22 25 28 31 34 38
loop(\(x,i).((((i + 1) * x) * (i + 1)) + 1),x,0)
A074703: 0 1 10 161 4026 144937 7101914 454522497 36816322258 3681632225801 445477499321922 64148759902356769 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x mod ((2 + 2) + 1)) * 2) + 1),x,0)
A222010: 0 1 3 7
A267317: 0 1 3 7 5 1 3 7 5 1 3 7 5 1 3 7
loop(\(x,i).(((((x * 2) * 2) + 1) * 2) + 1),x,0)
A083713: 0 3 27 219 1755 14043 112347 898779 7190235 57521883 460175067 3681400539 29451204315 235609634523 1884877076187 15079016609499
loop(\(x,i).(((x - ((i mod 2) - 1)) * 2) + 1),x,0)
A084640: 0 1 5 11 25 51 105 211 425 851 1705 3411 6825 13651 27305 54611
loop(\(x,i).(((((x * 2) + 1) * 2) * 2) + 1),x,0)
A125836: 0 5 45 365 2925 23405 187245 1497965 11983725 95869805 766958445 6135667565 49085340525 392682724205 3141461793645 25131694349165
(1 - loop(\(x,i).((((x * 2) * 2) * 2) - 1),x,0))
A047853: 1 2 10 74 586 4682 37450 299594 2396746 19173962 153391690 1227133514 9817068106 78536544842 628292358730 5026338869834
loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),x,0)
A002279: 0 5 55 555 5555 55555 555555 5555555 55555555 555555555 5555555555 55555555555 555555555555 5555555555555 55555555555555 555555555555555
loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)
A105279: 0 10 110 1110 11110 111110 1111110 11111110 111111110 1111111110 11111111110 111111111110 1111111111110 11111111111110 111111111111110 1111111111111110
loop(\(x,i).((i * x) - ((x mod (2 + 2)) - 1)),x,0)
A192225: 0 1 2 5
A009551: 0 1 2 5 20 101 606 4241 33928 305353 3053530 33588829 403065948 5239857325 73358002550 1100370038249
loop(\(x,i).((((i mod 2) + (x * 2)) * 2) - 1),x,0)
A015521: 0 1 3 13 51 205 819 3277 13107 52429 209715 838861 3355443 13421773 53687091 214748365
loop(\(x,i).((((i mod 2) - (x * 2)) * 2) - 1),x,0)
A084241: 0 1 ~5 21 ~85 341 ~1365 5461 ~21845 87381 ~349525 1398101 ~5592405 22369621 ~89478485 357913941
((2 + 2) - loop(\(x,i).(((x * 2) * 2) - 1),x,0))
A163868: 4 5 9 25 89 345 1369 5465 21849 87385 349529 1398105 5592409 22369625 89478489 357913945
(2 - loop(\(x,i).(((x - (i mod 2)) * 2) + 1),x,0))
A153643: 2 3 3 5 7 13 23 45 87 173 343 685 1367 2733 5463 10925
loop(\(x,i).(((x + 1) * (2 + 1)) * (2 + 1)),x,0)
A052386: 0 9 90 819 7380 66429 597870 5380839 48427560 435848049 3922632450 35303692059 317733228540 2859599056869 25736391511830 231627523606479
loop(\(x,i).((((x * x) div 2) + 1) * (2 + 1)),x,0)
A103031: 0 3 15 339
(1 - loop(\(x,i).(((x - 1) div 2) * (2 + 1)),x,0))
A156622: 1 4 7 13 22 34 52 79 121 184 277 418 628 943 1417 2128
(1 - loop(\(x,i).(((x - 2) * 2) * (2 + 1)),x,0))
A233325: 1 13 85 517 3109 18661 111973 671845 4031077 24186469 145118821 870712933 5224277605 31345665637 188073993829 1128443962981
loop(\(x,i).((((2 + 1) * x) + 2) * (2 + 1)),x,0)
A054880: 0 6 60 546 4920 44286 398580 3587226 32285040 290565366 2615088300 23535794706 211822152360 1906399371246 17157594341220 154418349070986
loop(\(x,i).((((2 + 2) + 1) * x) + (2 + 1)),x,0)
A125833: 0 3 18 93 468 2343 11718 58593 292968 1464843 7324218 36621093 183105468 915527343 4577636718 22888183593
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0)
A002275: 0 1 11 111 1111 11111 111111 1111111 11111111 111111111 1111111111 11111111111 111111111111 1111111111111 11111111111111 111111111111111
(((x + 2) * x) - loop(\(x,i).((x * 2) + 1),x,0))
A071099: 0 2 5 8 9 4 ~15 ~64 ~175 ~412 ~903 ~1904 ~3927 ~7996 ~16159 ~32512
(((2 + 2) * 2) - loop(\(x,i).((x * 2) - 1),x,0))
A168415: 8 9 11 15 23 39 71 135 263 519 1031 2055 4103 8199 16391 32775
(((x mod 2) * 2) - loop(\(x,i).((x * 2) - 1),x,0))
A062510: 0 3 3 9 15 33 63 129 255 513 1023 2049 4095 8193 16383 32769
loop(\(x,i).(((i * i) + x) + ((x * 2) - 1)),x,0)
A061982: 0 0 3 17 66 222 701 2151 6516 19628 58983 177069 531350 1594218 4782849 14348771
loop(\(x,i).((((x * 2) * 2) + (x mod 2)) + 1),x,0)
A037481: 0 1 6 25 102 409 1638 6553 26214 104857 419430 1677721 6710886 26843545 107374182 429496729
loop(\(x,i).(x - (((1 - x) div (i + 2)) - 1)),x,0)
A130261: 0 1 2 4 6 8 10 12 15 18 21 24 27 30 33 36
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),x,0)
A023000: 0 1 8 57 400 2801 19608 137257 960800 6725601 47079208 329554457 2306881200 16148168401 113037178808 791260251657
(1 - loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,0))
A047850: 1 2 7 32 157 782 3907 19532 97657 488282 2441407 12207032 61035157 305175782 1525878907 7629394532
loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + 1),x,0)
A067570: 0 1 2 3 4 5 7
A279076: 0 1 2 3 4 5 7 9 11 14 17 21 26 32 39 47
loop(\(x,i).((((x div 2) div (2 + 1)) + x) + 1),x,0)
A279077: 0 1 2 3 4 5 6 8 10 12 15 18 22 26 31 37
loop(\(x,i).((((i + 2) * (x + 1)) + x) - 1),x,0)
A079752: 0 2 13 82 579 4638 41749 417498 4592487 55109854 716428113 10029993594 150449903923 2407198462782 40922373867309 736602729611578
(1 - loop(\(x,i).(((x div (i + 1)) + x) - 1),x,0))
A092777: 1 2 4 6 8 11 14 17 20 23 26 30 34 38 42 46
loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + 1),x,0)
A279079: 0 1 2 3 4 5 6 7 8 10 12 14 16 19 22 25
loop(\(x,i).((((2 + 1) * 2) + 1) * (x + 1)),x,0)
A104896: 0 7 56 399 2800 19607 137256 960799 6725600 47079207 329554456 2306881199 16148168400 113037178807 791260251656 5538821761599
loop(\(x,i).((x + 2) - (x div ((0 - i) - 1))),x,0)
A130235: 0 2 5 9 13 18 23 28 34 40 46 52 58 65 72 79
loop(\(x,i).((((i - 1) * x) + 1) * (i + 1)),x,0)
A006041: 0 2 9 76 1145 27486 962017 46176824 2909139921 232731193690 23040388175321 2764846581038532 395373061088510089 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (x + 1)) - 1) * 2),x,0)
A125837: 0 6 54 438 3510 28086 224694 1797558 14380470 115043766 920350134 7362801078 58902408630 471219269046 3769754152374 30158033218998
(if (x mod ((((2 + 1) * 2) + 1) * 2)) <= 0 then x else 0)
A243830: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 0
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 2),x,0)
A125857: 0 2 20 182 1640 14762 132860 1195742 10761680 96855122 871696100 7845264902 70607384120 635466457082 5719198113740 51472783023662
loop(\(x,i).((x - (1 - (i mod (2 + 1)))) * 2),x,0)
A152732: 0 0 2 2 4 10 18 36 74 146 292 586 1170 2340 4682 9362
loop(\(x,i).((i + x) - (((x div 2) + 1) div 2)),x,0)
A001855: 0 1 3 5 8 11 14 17 21 25 29 33 37 41 45 49
loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,0)
A002276: 0 2 22 222 2222 22222 222222 2222222 22222222 222222222 2222222222 22222222222 222222222222 2222222222222 22222222222222 222222222222222
loop(\(x,i).(x - ((i * i) div ((0 - 2) - 2))),x,0)
A192225: 0 1 2 5
A175287: 0 1 2 5 9 16 25 38 54 75 100 131 167 210 259 316
loop(\(x,i).((x - ((i + x) div (0 - 2))) * 2),x,0)
A178222: 0 2 8 28 88 270 816 2456 7376 22138 66424 199284 597864 1793606 5380832 16142512
loop(\(x,i).(((((x * 2) * 2) + 1) * 2) * 2),x,0)
A141032: 0 4 68 1092 17476 279620 4473924 71582788 1145324612 18325193796 293203100740 4691249611844 75059993789508 1200959900632132 19215358410114116 307445734561825860
(1 - loop(\(x,i).((x - ((2 + 1) * 2)) * 2),x,0))
A139697: 1 13 37 85 181 373 757 1525 3061 6133 12277 24565 49141 98293 196597 393205
(if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else 0)
A103303: 0 1 2 3 4 5 6 7 8 9
A321801-A320486: 0 1 2 3 4 5 6 7 8 9 10 0 12 13 14 15
(1 - loop(\(x,i).((((x * 2) - 1) * 2) * 2),x,0))
A046636: 1 5 37 293 2341 18725 149797 1198373 9586981 76695845 613566757 4908534053 39268272421 314146179365 2513169434917 20105355479333
(1 - loop(\(x,i).((((x - 2) * 2) * 2) * 2),x,0))
A233328: 1 17 145 1169 9361 74897 599185 4793489 38347921 306783377 2454267025 19634136209 157073089681 1256584717457 10052677739665 80421421917329
loop(\(x,i).(((x * x) + 2) + ((2 + 2) * 2)),x,0)
A092500: 0 10 110 12110 146652110 21506841367452110 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + x) div 2) + ((2 + 2) * 2)),x,0)
A328241: 0 8 13 16 18 19 20 21 22 23 24 25 26 27 28 29
(1 - (x - loop(\(x,i).(((x + 2) * 2) * 2),x,0)))
A144414: 1 8 39 166 677 2724 10915 43682 174753 699040 2796191 11184798 44739229 178956956 715827867 2863311514
loop(\(x,i).(2 - (x - (((x * 2) * 2) * 2))),x,0)
A125725: 0 2 16 114 800 5602 39216 274514 1921600 13451202 94158416 659108914 4613762400 32296336802 226074357616 1582520503314
(1 - loop(\(x,i).((x - ((i div 2) mod 2)) * 2),x,0))
A190569: 1 1 3 7 13 25 51 103 205 409 819 1639 3277 6553 13107 26215
loop(\(x,i).((((x * 2) - (i mod 2)) + 2) * 2),x,0)
A115243: 0 2 12 50 204 818 3276 13106 52428 209714 838860 3355442 13421772 53687090 214748364 858993458
loop(\(x,i).((x - (1 - ((i mod 2) * 2))) * 2),x,0)
A014113: 0 2 2 6 10 22 42 86 170 342 682 1366 2730 5462 10922 21846
(if (((x + 2) div (2 + 1)) mod (2 + 2)) <= 0 then x else 0)
A330024: 0 0 0 0 0 0 0 0 0 0 10 11 12 0 0 0
(1 div (2 - (if ((x - 1) mod (2 + 2)) <= 0 then x else 0)))
A292273: 0 1 0 0 0 ~1 0 0 0 ~1 0 0 0 ~1 0 0
loop(\(x,i).(x - (i - ((i * i) * (2 + 2)))),x,0)
A132124: 0 3 17 50 110 205 343 532 780 1095 1485 1958 2522 3185 3955 4840
loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),x,0)
A002278: 0 4 44 444 4444 44444 444444 4444444 44444444 444444444 4444444444 44444444444 444444444444 4444444444444 44444444444444 444444444444444
(((x mod 2) * 2) - loop(\(x,i).((x - 2) * 2),x,0))
A014131: 0 6 12 30 60 126 252 510 1020 2046 4092 8190 16380 32766 65532 131070
(2 - loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,0))
A132079: 2 4 14 64 314 1564 7814 39064 195314 976564 4882814 24414064 122070314 610351564 3051757814 15258789064
loop(\(x,i).(((i div 2) + x) + ((x * 2) * 2)),x,0)
A097139: 0 0 1 6 32 162 813 4068 20344 101724 508625 2543130 12715656 63578286 317891437 1589457192
(1 - loop(\(x,i).(((2 - x) * (x div 2)) - 2),x,0))
A232806: 1 3 7 27 367 67347 2267809207 2571479299676984427 4611686018427387903
(x - loop(\(x,i).((x - ((i - x) div 2)) * 2),x,0))
A183119: 0 1 4 11 32 93 276 823 2464 7385 22148 66435 199296 597877 1793620 5380847
loop(\(x,i).(((2 + 1) * x) + ((i div 2) mod 2)),x,0)
A177881: 0 0 1 4 12 36 109 328 984 2952 8857 26572 79716 239148 717445 2152336
(1 - loop(\(x,i).(((x * 2) - (i mod 2)) * 2),x,0))
A102865: 1 3 9 35 137 547 2185 8739 34953 139811 559241 2236963 8947849 35791395 143165577 572662307
loop(\(x,i).((i * x) - (1 - ((i mod 2) * 2))),x,0)
A002467: 0 1 1 4 15 76 455 3186 25487 229384 2293839 25232230 302786759 3936227868 55107190151 826607852266
((x + 1) - loop(\(x,i).((x - (i mod 2)) * 2),x,0))
A094968: 1 4 7 14 25 48 91 178 349 692 1375 2742 5473 10936 21859 43706
((2 - x) - loop(\(x,i).((x - (i mod 2)) * 2),x,0))
A322783: 2 3 4 9 18 39 80 165 334 675 1356 2721 5450 10911 21832 43677
loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),x,0)
A002282: 0 8 88 888 8888 88888 888888 8888888 88888888 888888888 8888888888 88888888888 888888888888 8888888888888 88888888888888 888888888888888
loop(\(x,i).(((((2 + 2) * 2) * 2) + x) * 2),x,0)
A175165: 0 32 96 224 480 992 2016 4064 8160 16352 32736 65504 131040 262112 524256 1048544
loop(\(x,i).((1 - x) - (((i mod 2) + x) * 2)),x,0)
A076040: 0 ~1 4 ~13 40 ~121 364 ~1093 3280 ~9841 29524 ~88573 265720 ~797161 2391484 ~7174453
loop(\(x,i).(((i - x) mod (2 + 1)) + (x * 2)),x,0)
A033129: 0 1 3 6 13 27 54 109 219 438 877 1755 3510 7021 14043 28086
loop(\(x,i).(((i * i) div (2 + 2)) + (x * 2)),x,0)
A272144: 0 0 1 4 12 30 69 150 316 652 1329 2688 5412 10866 21781 43618
(1 - loop(\(x,i).(x - ((i mod 2) - (x * 2))),x,0))
A039300: 1 2 4 11 31 92 274 821 2461 7382 22144 66431 199291 597872 1793614 5380841
loop(\(x,i).(((i - 1) div (2 + 1)) - (x mod 2)),x,0)
A035662: 0 0 0 0 1 0 1 1 1 1 2 3 2 4 4 4
loop(\(x,i).(((i div 2) + (x * 2)) + (x mod 2)),x,0)
A178452: 0 0 1 4 10 22 47 98 200 404 813 1632 3270 6546 13099 26206
(((x div (0 - 2)) mod 2) + (if (x mod 2) <= 0 then x else 0))
A003815: 0 1 3 0 4 1 7 0 8 1 11 0 12 1 15 0
(1 - ((x mod 2) - loop(\(x,i).((i + x) * 2),x,0)))
A166754: 1 2 9 22 53 114 241 494 1005 2026 4073 8166 16357 32738 65505 131038
(1 - loop(\(x,i).((x - ((2 + 1) * i)) * 2),x,0))
A247620: 1 7 25 67 157 343 721 1483 3013 6079 12217 24499 49069 98215 196513 393115
loop(\(x,i).(((((i * 2) + x) - 1) * i) * 2),x,0)
A093302: 0 2 20 150 1256 12650 151932 2127230 34035920 612646866 12252937700 269564629862 6469551117240 168208329048890 4709833213369676 141294996401091150
loop(\(x,i).(((x * 2) * (2 + 1)) + (i div 2)),x,0)
A178719: 0 0 1 7 44 266 1599 9597 57586 345520 2073125 12438755 74632536 447795222 2686771339 16120628041
((x mod 2) - loop(\(x,i).((x * 2) - (i div 2)),x,0))
A083579: 0 1 1 4 8 19 39 82 166 337 677 1360 2724 5455 10915 21838
loop(\(x,i).(((i * i) div ((2 + 2) + 1)) + x),x,0)
A181640: 0 0 0 1 4 9 16 25 37 53 73 97 125 158 197 242
loop(\(x,i).((((x * 2) + 1) * (2 + 1)) + x),x,0)
A120741: 0 3 24 171 1200 8403 58824 411771 2882400 20176803 141237624 988663371 6920643600 48444505203 339111536424 2373780754971
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,0)
A024075: 0 6 48 342 2400 16806 117648 823542 5764800 40353606 282475248 1977326742 13841287200 96889010406 678223072848 4747561509942
loop(\(x,i).((((i * i) * i) div (2 + 1)) + x),x,0)
A173707: 0 0 2 11 32 73 145 259 429 672 1005 1448 2024 2756 3670 4795
loop(\(x,i).(((i * i) div ((x * 2) + 1)) + x),x,0)
A022554: 0 1 2 3 5 7 9 11 13 16 19 22 25 28 31 34
loop(\(x,i).((((i + 1) * i) * (i + 1)) + x),x,0)
A052149: 0 4 22 70 170 350 644 1092 1740 2640 3850 5434 7462 10010 13160 17000
loop(\(x,i).((((i * i) * 2) * (i - 1)) + x),x,0)
A036464: 0 0 8 44 140 340 700 1288 2184 3480 5280 7700 10868 14924 20020 26320
loop(\(x,i).(((i * i) div ((2 + 1) * 2)) + x),x,0)
A171965: 0 0 0 1 3 7 13 21 31 44 60 80 104 132 164 201
loop(\(x,i).((((i * i) * (i + 1)) div 2) + x),x,0)
A001296: 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820
loop(\(x,i).(((((x * 2) + 1) * 2) * 2) - x),x,0)
A125823: 0 4 32 228 1600 11204 78432 549028 3843200 26902404 188316832 1318217828 9227524800 64592673604 452148715232 3165041006628
loop(\(x,i).((((x div 2) + i) div (2 + 2)) + x),x,0)
A177332: 0 0 0 0 1 2 3 5 7 10 13 17 22 28 35 43
loop(\(x,i).((((i div 2) + x) * (i + 2)) + x),x,0)
A079756: 0 0 4 29 215 1734 15630 156327 1719637 20635688 268264004 3755696121 56335441899 901367070474 15323240198170 275818323567179
loop(\(x,i).((((i * i) * i) * (i * 2)) + x),x,0)
A259108: 0 2 34 196 708 1958 4550 9352 17544 30666 50666 79948 121420 178542 255374 356624
loop(\(x,i).(((((i * 2) * 2) + 1) * i) + x),x,0)
A331987: 0 5 23 62 130 235 385 588 852 1185 1595 2090 2678 3367 4165 5080
loop(\(x,i).(((x - ((i mod 2) - 1)) * i) + x),x,0)
A014508: 0 0 2 8 44 264 1854 14832 133496 1334960 14684570 176214840 2290792932 32071101048 481066515734 7697064251744
loop(\(x,i).(((((i + 1) * i) + 1) * i) + x),x,0)
A152457: 0 3 17 56 140 295 553 952 1536 2355 3465 4928 6812 9191 12145 15760
loop(\(x,i).(((((i mod 2) + 2) + 2) * i) + x),x,0)
A185039: 0 5 13 28 44 69 93 128 160 205 245 300 348 413 469 544
loop(\(x,i).((((i * i) div (2 + 2)) + i) + x),x,0)
A005744: 0 1 4 9 17 28 43 62 86 115 150 191 239 294 357 428
(((x mod 2) + 1) - loop(\(x,i).(x - (i - x)),x,0))
A084173: 1 3 5 13 27 59 121 249 503 1015 2037 4085 8179 16371 32753 65521
(((2 - x) * 2) - loop(\(x,i).(x - (i - x)),x,0))
A249453: 4 3 4 9 22 51 112 237 490 999 2020 4065 8158 16347 32728 65493
loop(\(x,i).(((((i * 2) - 1) * i) * i) + x),x,0)
A103220: 0 1 13 58 170 395 791 1428 2388 3765 5665 8206 11518 15743 21035 27560
loop(\(x,i).(((((i * i) - 1) * i) * i) + x),x,0)
A303916: 0 0 12 84 324 924 2184 4536 8568 15048 24948 39468 60060 88452 126672 177072
loop(\(x,i).((((i * i) * i) * (i * i)) + x),x,0)
A000539: 0 1 33 276 1300 4425 12201 29008 61776 120825 220825 381876 630708 1002001 1539825 2299200
loop(\(x,i).((((i * i) * i) * (i * i)) - x),x,0)
A062393: 0 1 31 212 812 2313 5463 11344 21424 37625 62375 98676 150156 221137 316687 442688
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) + i),x,0)
A014899: 0 1 18 291 4660 74565 1193046 19088743 305419896 4886718345 78187493530 1250999896491 20015998343868 320255973501901 5124095576030430 81985529216486895
(1 - loop(\(x,i).(x - ((x div (2 + 2)) + i)),x,0))
A332071: 1 2 3 5 8 11 14 17 21 25 29 33 37 41 45 49
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + i),x,0)
A014824: 0 1 12 123 1234 12345 123456 1234567 12345678 123456789 1234567900 12345679011 123456790122 1234567901233 12345679012344 123456790123455
(if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 0 else 1)
A322817-A145568: 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1
(if ((x + 2) mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)
A071041: 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1
(if ((x - 2) mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)
A188395: 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1
(if (x mod (((x mod (2 + 1)) + 2) + 1)) <= 0 then 0 else 1)
A288736: 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 0 else 1)
A330548-A136712-A071025: 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1
(if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 0 else 1)
A333189-A171157-A106799: 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0
(if ((x + 1) mod ((x mod (2 + 2)) + 1)) <= 0 then 0 else 1)
A341995-A070108: 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0
(if ((x * 2) mod (((x + 2) + 2) + 1)) <= 0 then 0 else 1)
A336387-A276398-A086600: 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
(if ((x + 2) mod (((x - 2) * 2) - 1)) <= 0 then 0 else 1)
A039737: 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1
(if ((x - (x div (2 + 1))) mod (2 + 1)) <= 0 then 0 else 1)
A060584: 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1
(x - (if ((x div (0 - 2)) mod (2 + 1)) <= 0 then 0 else 1))
A128054: 0 0 1 2 3 5 6 6 7 8 9 11 12 12 13 14
(if ((x mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 1)
A260394-A189479: 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1
(if ((x + 2) mod ((2 + 2) * (2 + 1))) <= 0 then 0 else 1)
A228813-A122261-A122255: 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1
(if (((x div 2) - 2) - (x mod (2 + 1))) <= 0 then 0 else 1)
A011688: 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1
(if ((((2 + 2) * 2) + 1) mod (x + 1)) <= 0 then 0 else 1)
A072165: 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 1)
A043545: 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0
(loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),0) - 1)
A123183: ~1 ~1 ~2 ~5 ~14 ~41 ~122 ~365 ~1094 ~3281 ~9842 ~29525 ~88574 ~265721 ~797162 ~2391485
(if ((x mod (((2 + 1) * 2) + 1)) - 2) <= 0 then 0 else 1)
A191153: 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0
(if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 1)
A336556-A209929: 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1
(if (x mod (((x div 2) div (2 + 1)) + 2)) <= 0 then 0 else 1)
A105469: 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1
(if (x mod (x - ((x mod (2 + 1)) + 2))) <= 0 then 0 else 1)
A239499: 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1
((x * x) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))
A046162: 0 1 4 3 16 25 12 49 64 27 100 121 48 169 196 75
(if ((x mod (((2 + 2) + 1) * 2)) - 2) <= 0 then 0 else 1)
A102671: 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else 0) - 1)
A189023-A053981: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ~1
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 0) + 1)
A333843-A185358: 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3
(if (((x + 2) + 1) mod ((2 + 2) * 2)) <= 0 then 0 else 1)
A263000: 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1
(if ((x - (2 + 2)) mod ((2 + 2) * 2)) <= 0 then 0 else 1)
A330550-A188470-A187944-A105597-A089939: 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1
(if (((x div 2) + 2) mod ((2 + 2) * 2)) <= 0 then 0 else 1)
A131217: 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1
((if (x mod 2) <= 0 then (x div ((2 + 2) * 2)) else 0) + 1)
A338651-A247599-A023126: 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2 1
(if ((x div 2) - (x mod ((2 + 2) * 2))) <= 0 then 0 else 1)
A037815: 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0
(if (((x div 2) - (x mod (2 + 2))) - 2) <= 0 then 0 else 1)
A338430: 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1
(if (((x div (2 + 1)) - 1) mod (2 + 2)) <= 0 then 0 else 1)
A204439: 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0
((if (x mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0) + 1)
A109009: 5 1 1 1 1 5 1 1 1 1 5 1 1 1 1 5
(if ((2 - (x div (2 + 1))) mod (2 + 2)) <= 0 then 0 else 1)
A285467: 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1
(if (((x div 2) * (x + 1)) mod (2 + 2)) <= 0 then 0 else 1)
A324908: 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0
(if (((x div (0 - 2)) * x) mod (2 + 2)) <= 0 then 0 else 1)
A224444: 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0
(((x div 2) + x) - (if (x mod (2 + 2)) <= 0 then 0 else 1))
A187326: 0 0 2 3 6 6 8 9 12 12 14 15 18 18 20 21
(if ((((x - 2) * 2) mod (x + 2)) - 2) <= 0 then 0 else 1)
A035466: 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1
(if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 0 else 1)
A133011: 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1
(if (((x mod (2 + 1)) - 1) * (x - 2)) <= 0 then 0 else 1)
A181663: 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0
(x - (if ((x + 1) mod (2 + 1)) <= 0 then 2 else (0 - 1)))
A004482: 1 2 0 4 5 3 7 8 6 10 11 9 13 14 12 16
(if (x mod 2) <= 0 then (x div ((2 + 2) * 2)) else (0 - 1))
A270370: 0 ~1 0 ~1 0 ~1 0 ~1 1 ~1 1 ~1 1 ~1 1 ~1
(x - (if (x mod 2) <= 0 then (x mod (2 + 2)) else (0 - 1)))
A291330: 0 2 0 4 4 6 4 8 8 10 8 12 12 14 12 16
(1 - (1 mod loop(\(x,i).(1 - (x * 2)),x,(0 - 1))))
A279030: 1 0 5 0 21 0 85 0 341 0 1365 0 5461 0 21845 0
((x * x) - (x mod loop(\(x,i).(x * 2),x,(0 - 1))))
A290699: 0 2 6 14 28 52 94 170 312 584 1114 2158 4228 8348 16566 32978
(2 - loop(\(x,i).((x div (2 + 2)) + x),x,(0 - 1)))
A100586: 3 4 5 6 7 9 11 14 17 21 26 32 40 50 62 77
(if (((x + 1) mod ((2 + 2) + 1)) * x) <= 0 then 0 else 1)
A022930: 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1
((if (x mod ((2 + 2) * (2 + 1))) <= 0 then x else 0) + 1)
A251072: 1 1 1 1 1 1 1 1 1 1 1 1 13 1 1 1
(loop(\(x,i).(i - ((i + 1) mod (x + 1))),x,0) + 1)
A279170: 1 2 2 4 4 4 4 8 8 8 8 8 8 8 8 16
(loop(\(x,i).(((x * 2) + 1) mod (i + 1)),x,0) + 1)
A079878: 1 2 1 2 4 2 4 8 7 4 8 4 8 2 4 8
((if (x - (((2 + 2) + 1) * 2)) <= 0 then x else 0) - 1)
A216587: ~1 0 1 2 3 4 5 6 7 8 9 ~1 ~1 ~1 ~1 ~1
((if (x mod (((2 + 2) + 1) * 2)) <= 0 then x else 0) + 1)
A268357: 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1
(if (((x + 1) mod ((2 + 2) * 2)) * x) <= 0 then 0 else 1)
A022932: 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0
(loop(\(x,i).((1 - x) - ((x * 2) * 2)),x,0) + 1)
A166122: 1 2 ~3 22 ~103 522 ~2603 13022 ~65103 325522 ~1627603 8138022 ~40690103 203450522 ~1017252603 5086263022
(loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,0) - 1)
A137410: ~1 1 11 61 311 1561 7811 39061 195311 976561 4882811 24414061 122070311 610351561 3051757811 15258789061
((x div (((2 + 1) * 2) + 1)) + (if x <= 0 then 0 else 1))
A195174: 0 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3
((((x div 2) + 1) div (2 + 1)) + (if x <= 0 then 0 else 1))
A340764-A321018-A056556: 0 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3
((((x + 1) div 2) div (2 + 1)) + (if x <= 0 then 0 else 1))
A111854: 0 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3
(x - (((x div 2) div (2 + 1)) + (if x <= 0 then 0 else 1)))
A172266: 0 0 1 2 3 4 4 5 6 7 8 9 9 10 11 12
((((x + 2) * x) div (2 + 1)) + (if x <= 0 then 0 else 1))
A280984: 0 2 3 6 9 12 17 22 27 34 41 48 57 66 75 86
((x + 2) - ((x div (0 - 2)) - (if x <= 0 then 0 else 1)))
A005781: 2 5 6 8 9 11
A049636: 2 5 6 8 9 11 12 14 15 17 18 20 21 23 24 26
(((x div ((0 - 2) - 1)) mod 2) - (if x <= 0 then 0 else 1))
A000493: 0 0 0 0 ~1 ~1 ~1 0 0 0 ~1 ~1 ~1 0 0 0
((x mod (((2 + 2) + 1) * 2)) - (if x <= 0 then 0 else 1))
A321999: 0 0 1 2 3 4 5 6 7 8 ~1 0 1 2 3 4
((((x div (2 + 2)) + 1) div 2) + (if x <= 0 then 0 else 1))
A000193: 0 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3
((((x div 2) mod (2 + 1)) div 2) + (if x <= 0 then 0 else 1))
A328483-A321856: 0 1 1 1 2 2 1 1 1 1 2 2 1 1 1 1
((((x + 2) * (x + 1)) div 2) + (if x <= 0 then 0 else 1))
A134869: 1 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137
(((x - ((x div 2) mod 2)) div 2) + (if x <= 0 then 0 else 1))
A049206: 0 1 1 2 3 3 3 4 5 5 5 6 7 7 7 8
(((x mod ((x mod 2) + 2)) div 2) + (if x <= 0 then 0 else 1))
A132126: 0 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1
(((x + 1) mod ((x mod 2) + 2)) - (if x <= 0 then 0 else 1))
A163817: 1 1 0 0 0 ~1 0 1 0 0 0 ~1 0 1 0 0
(((1 - x) mod ((x mod 2) + 2)) - (if x <= 0 then 0 else 1))
A163811: 1 ~1 0 0 0 1 0 ~1 0 0 0 1 0 ~1 0 0
((((x div 2) div (2 + 1)) + x) + (if x <= 0 then 0 else 1))
A195178: 0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18
(((((2 + 2) * 2) * 2) + x) + (if x <= 0 then 0 else 1))
A043705-A043675: 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
(loop(\(x,i).((((i * 2) + x) * 2) + i),x,0) + 1)
A247904: 1 6 21 56 131 286 601 1236 2511 5066 10181 20416 40891 81846 163761 327596
(loop(\(x,i).(i * x),(x div ((2 + 2) + 1)),1) - 1)
A252930: 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 5
loop(\(x,i).i,((x div (((x mod 2) + 2) + 1)) - 1),1)
A329340: 1 1 1 1 1 1 1 1 1 1 2 1 3 2 3 2
loop(\(x,i).(i + x),(((x - 2) div (2 + 1)) - 1),1)
A001584: 1 1 1 1 1 1 1 1 2 2 2 4 4 4 7 7
(loop(\(x,i).((i * i) * (i * x)),(x + 1),1) - 1)
A046033: 0 7 215 13823 1727999 373247999 128024063999 65548320767999 47784725839871999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x div 2) + x) * 2),(x - 1),1) - 1)
A154992: 0 0 1 5 17 53 161 485 1457 4373 13121 39365 118097 354293 1062881 3188645
((x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)) + 1)
A087507: 1 1 1 4 2 2 7 3 3 10 4 4 13 5 5 16
(((x + 2) div (if (x mod 2) <= 0 then (0 - 2) else 1)) + 1)
A174390: 0 4 ~1 6 ~2 8 ~3 10 ~4 12 ~5 14 ~6 16 ~7 18
(loop(\(x,i).((0 - x) * 2),x,((0 - 2) - 1)) - 1)
A140683: ~4 5 ~13 23 ~49 95 ~193 383 ~769 1535 ~3073 6143 ~12289 24575 ~49153 98303
loop(\(x,i).(i * x),x,((x mod ((0 - 2) - 1)) + 1))
A194770: 1 ~1 0 6 ~24 0 720 ~5040 0 362880 ~3628800 0 479001600 ~6227020800 0 1307674368000
loop(\(x,i).(i * 2),(x - (((2 + 1) * 2) + 1)),1)
A322405: 1 1 1 1 1 1 1 1 2 4 6 8 10 12 14 16
(loop(\(x,i).(x * x),x,(((2 + 1) * 2) + 1)) + 1)
A078304: 8 50 2402 5764802 33232930569602 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,(((2 + 1) * 2) + 1)) + 1)
A229554: 8 8 15 43 169 841 5041 35281 282241 2540161 25401601 279417601 3353011201 43589145601 610248038401 9153720576001
(loop(\(x,i).(i * x),x,(((2 + 1) * 2) + 1)) - 1)
A229828: 6 6 13 41 167 839 5039 35279 282239 2540159 25401599 279417599 3353011199 43589145599 610248038399 9153720575999
((((x div 2) + 2) div ((if x <= 0 then 1 else 2) + 1)) + 1)
A060508: 2 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4
((if (x mod 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1)
A283894: 17 2 17 2 17 2 17 2 17 2 17 2 17 2 17 2
(x mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1))
A255327: 0 1 0 1 0 1 0 1 2 1 0 1 0 1 0 1
((x div (if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1)) + 1)
A234741: 1 2 3 4 5 6 7 8 5 10 11 12 13 14 15 16
(loop(\(x,i).(x * 2),x,(((2 + 2) * 2) + 1)) + 1)
A083705: 10 19 37 73 145 289 577 1153 2305 4609 9217 18433 36865 73729 147457 294913
loop(\(x,i).(x * 2),(x - (((2 + 2) * 2) + 1)),1)
A275076-A275064-A113019-A113010: 1 1 1 1 1 1 1 1 1 1 2 4 8 16 32 64
loop(\(x,i).(i - 2),(x - (((2 + 2) * 2) + 1)),1)
A307651: 1 1 1 1 1 1 1 1 1 1 ~1 0 1 2 3 4
loop(\(x,i).(i + x),(x - (((2 + 2) * 2) + 1)),1)
A212368: 1 1 1 1 1 1 1 1 1 1 2 4 7 11 16 22
((if (x - (2 + 2)) <= 0 then x else ((2 + 2) + 1)) + 1)
A101272: 1 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6
(loop(\(x,i).((x * 2) * 2),x,((2 + 2) + 1)) + 1)
A199115: 6 21 81 321 1281 5121 20481 81921 327681 1310721 5242881 20971521 83886081 335544321 1342177281 5368709121
(loop(\(x,i).((x + 1) * x),x,((2 + 2) + 1)) + 1)
A144780: 6 31 931 865831 749662454731 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div 2) + x),x,((2 + 2) + 1)) + 1)
A183208: 6 8 11 16 23 34 50 74 110 164 245 367 550 824 1235 1852
(if (x mod 2) <= 0 then (2 mod ((x div (2 + 2)) + 1)) else 1)
A221171: 0 1 0 1 0 1 0 1 2 1 2 1 2 1 2 1
(loop(\(x,i).((x * 2) * 2),((x + 2) * 2),1) + 1)
A209533: 257 4097 65537 1048577 16777217 268435457 4294967297 68719476737 1099511627777 17592186044417 281474976710657 4503599627370497 72057594037927937 1152921504606846977 4611686018427387903
(loop(\(x,i).((x * 2) * 2),((x * 2) * 2),1) - 1)
A175824: 0 255 65535 16777215 4294967295 1099511627775 281474976710655 72057594037927935 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) + 1),(((x div 2) - 2) - 1),1)
A147096: 1 1 1 1 1 1 1 1 3 3 7 7 15 15 31 31
(loop(\(x,i).(i * x),(((x * x) + 2) * 2),1) - 1)
A181745: 23 719 479001599 4611686018427387903
loop(\(x,i).(i * x),((((x * x) div 2) * 2) - 1),1)
A028366: 1 1 6 5040 1307674368000 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + x) + x),x,1) * (2 + 1)) + 1)
A227712: 4 10 25 58 127 268 553 1126 2275 4576 9181 18394 36823 73684 147409 294862
(((if ((x div 2) - 2) <= 0 then 0 else 2) * (2 + 1)) + 1)
A108689: 1 1 1 1 1 1 7 7 7 7 7 7 7 7 7 7
loop(\(x,i).(x + 2),(((x - 1) div 2) - (2 + 1)),1)
A237718: 1 1 1 1 1 1 1 1 1 3 3 5 5 7 7 9
loop(\(x,i).(x * 2),x,(((2 + 2) * (2 + 1)) + 1))
A005029: 13 26 52 104 208 416 832 1664 3328 6656 13312 26624 53248 106496 212992 425984
loop(\(x,i).(x * x),x,(((2 + 2) * (2 + 1)) + 1))
A176596: 13 169 28561 815730721 665416609183179841 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(((2 + 2) * (2 + 1)) - 1))
A005015: 11 22 44 88 176 352 704 1408 2816 5632 11264 22528 45056 90112 180224 360448
loop(\(x,i).(x * x),x,(((2 + 2) * (2 + 1)) - 1))
A176595: 11 121 14641 214358881 45949729863572161 4611686018427387903 4611686018427387903
loop(\(x,i).(x + 2),(x - ((2 + 2) * (2 + 1))),1)
A133854: 1 1 1 1 1 1 1 1 1 1 1 1 1 3 5 7
loop(\(x,i).(i * 2),(x - ((2 + 2) * (2 + 1))),1)
A224813: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 6
(loop(\(x,i).(x * x),x,((2 + 2) * (2 + 1))) + 1)
A152585: 13 145 20737 429981697 184884258895036417 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(((x * 2) * 2) * (2 + 1)),1)
A181728: 1 479001600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then (((x div 2) + 2) div (2 + 1)) else 1)
A122521-A033271: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3
((if (x mod 2) <= 0 then ((x div 2) mod 2) else (2 + 1)) + 1)
A176895: 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4
((loop(\(x,i).((x * 2) + 1),x,2) * (2 + 1)) + 1)
A176449: 7 16 34 70 142 286 574 1150 2302 4606 9214 18430 36862 73726 147454 294910
((loop(\(x,i).((x * 2) * 2),x,2) * (2 + 1)) + 1)
A199116: 7 25 97 385 1537 6145 24577 98305 393217 1572865 6291457 25165825 100663297 402653185 1610612737 6442450945
loop(\(x,i).i,((((x mod 2) * x) div 2) - (2 + 1)),1)
A195843: 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 4
loop(\(x,i).((i div 2) + x),((x + 2) div (2 + 1)),1)
A179269: 1 1 1 1 2 2 2 3 3 3 5 5 5 7 7 7
loop(\(x,i).(x * x),1,(((x * 2) * (2 + 1)) + 1))
A016922: 1 49 169 361 625 961 1369 1849 2401 3025 3721 4489 5329 6241 7225 8281
loop(\(x,i).(x * x),2,(((x * 2) * (2 + 1)) + 1))
A016924: 1 2401 28561 130321 390625 923521 1874161 3418801 5764801 9150625 13845841 20151121 28398241 38950081 52200625 68574961
loop(\(x,i).(x * x),1,(((x * 2) * (2 + 1)) - 1))
A174371: 1 25 121 289 529 841 1225 1681 2209 2809 3481 4225 5041 5929 6889 7921
(loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1)) + 1)
A199561: 4 28 244 2188 19684 177148 1594324 14348908 129140164 1162261468 10460353204 94143178828 847288609444 7625597484988 68630377364884 617673396283948
((if ((x div 2) mod 2) <= 0 then (x mod 2) else (2 + 1)) + 1)
A094225: 1 2 4 4 1
(loop(\(x,i).((x * 2) * (2 + 1)),x,(2 + 1)) + 1)
A199318: 4 19 109 649 3889 23329 139969 839809 5038849 30233089 181398529 1088391169 6530347009 39182082049 235092492289 1410554953729
(loop(\(x,i).((x * 2) * (2 + 1)),x,(2 + 1)) - 1)
A198796: 2 17 107 647 3887 23327 139967 839807 5038847 30233087 181398527 1088391167 6530347007 39182082047 235092492287 1410554953727
loop(\(x,i).(i * x),(((2 + 1) * x) * (2 + 1)),1)
A195393: 1 362880 6402373705728000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - 1),x) * (2 + 1)) + 1)
A048474: 1 4 13 37 97 241 577 1345 3073 6913 15361 33793 73729 159745 344065 737281
(loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 1)) + 1)
A199494: 4 25 193 1537 12289 98305 786433 6291457 50331649 402653185 3221225473 25769803777 206158430209 1649267441665 13194139533313 105553116266497
(loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 1)) - 1)
A198851: 2 23 191 1535 12287 98303 786431 6291455 50331647 402653183 3221225471 25769803775 206158430207 1649267441663 13194139533311 105553116266495
(if ((x mod (2 + 1)) mod 2) <= 0 then (x div (2 + 1)) else 1)
A103627: 0 1 0 1 1 1 2 1 2 3 1 3 4 1 4 5
loop(\(x,i).(x * 2),((x div 2) - (x div (2 + 1))),1)
A140426: 1 1 2 1 2 2 2 2 4 2 4 4 4 4 8 4
(if (x mod (2 + 1)) <= 0 then 0 else ((x div (2 + 1)) + 1))
A087508: 0 1 1 0 2 2 0 3 3 0 4 4 0 5 5 0
loop(\(x,i).(((i div 2) + 1) + x),(x div (2 + 1)),1)
A086159: 1 1 1 2 2 2 4 4 4 6 6 6 9 9 9 12
loop(\(x,i).(((2 + 2) + 1) * x),(x mod (2 + 1)),1)
A271378: 1 5 25 1 5 25 1 5 25 1 5 25 1 5 25 1
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 1)) + 1)
A199214: 4 16 76 376 1876 9376 46876 234376 1171876 5859376 29296876 146484376 732421876 3662109376 18310546876 91552734376
(((if (x mod 2) <= 0 then (1 - x) else x) mod (2 + 1)) - 1)
A131736: 0 0 1 ~1 ~1 1 0 0 1 ~1 ~1 1 0 0 1 ~1
((((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) - 1)
A016350-A016345-A016333-A015947-A011652-A011649-A010892-A000484: 1 1 0 ~1 ~1 0 1 1 0 ~1 ~1 0 1 1 0 ~1
(loop(\(x,i).(((i + 2) + 2) * x),x,(2 + 1)) + 1)
A139155: 4 16 91 631 5041 45361 453601 4989601 59875201 778377601 10897286401 163459296001 2615348736001 44460928512001 800296713216001 15205637551104001
(loop(\(x,i).(((i + 2) + 2) * x),x,(2 + 1)) - 1)
A139183: 2 14 89 629 5039 45359 453599 4989599 59875199 778377599 10897286399 163459295999 2615348735999 44460928511999 800296713215999 15205637551103999
loop(\(x,i).((2 + 1) * x),((x * x) div (2 + 1)),1)
A168495: 1 1 3 27 243 6561 531441 43046721 10460353203 7625597484987 5559060566555523 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x div 2) + x) div (if (2 - x) <= 0 then 2 else 1)) + 1)
A272206: 1 2 2 3 4 4 5 6 7 7 8 9 10 10 11 12
(loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) - 1)
A069756: 23 119 359 839 1679 3023 5039 7919 11879 17159 24023 32759 43679 57119 73439 93023
(loop(\(x,i).(((x * 2) * 2) * 2),(x * 2),1) + 1)
A228081: 2 65 4097 262145 16777217 1073741825 68719476737 4398046511105 281474976710657 18014398509481985 1152921504606846977 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(((x mod 2) + (x * 2)) - 1),1)
A169661: 1 2 6 720 5040 3628800 39916800
loop(\(x,i).((x * 2) * (2 + 1)),((x * 2) + 1),1)
A013711: 6 216 7776 279936 10077696 362797056 13060694016 470184984576 16926659444736 609359740010496 21936950640377856 789730223053602816 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),((x * 2) + 1),1)
A013713: 8 512 32768 2097152 134217728 8589934592 549755813888 35184372088832 2251799813685248 144115188075855872 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 2),((x * 2) + 1),1)
A198963: 5 53 485 4373 39365 354293 3188645 28697813 258280325 2324522933 20920706405 188286357653 1694577218885 15251194969973 137260754729765 1235346792567893
loop(\(x,i).(((2 + 2) + 1) * x),((x * 2) + 1),1)
A013710: 5 125 3125 78125 1953125 48828125 1220703125 30517578125 762939453125 19073486328125 476837158203125 11920928955078125 298023223876953125 4611686018427387903 4611686018427387903
loop(\(x,i).(((i div 2) + i) * x),((x * 2) + 1),1)
A176731: 1 12 504 45360 7076160 1698278400 580811212800 268334780313600 161000868188160000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (i + 1)),((x * 2) - 1),1)
A274304: 1 4 192 23040 5160960 1857945600 980995276800 714164561510400 685597979049984000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div 2) + x) * 2),((x * 2) - 1),1)
A270369: 1 2 18 162 1458 13122 118098 1062882 9565938 86093442 774840978 6973568802 62762119218 564859072962 5083731656658 45753584909922
(((x + 2) * 2) - loop(\(x,i).i,((x div 2) - 1),1))
A186383: 3 5 7 9 11 13 14 16 17 19 20 22 23 25 26 28
(((x * 2) mod (if (2 - x) <= 0 then (x div 2) else 1)) + 1)
A334949: 1 1 1 1 1 1 1 3 1 3 1 3 1 3 1 3
loop(\(x,i).i,(((x div (2 + 1)) - (x mod 2)) - 1),1)
A322391: 1 1 1 1 1 1 1 1 1 1 2 1 3 2 3 3
((if ((x div (2 + 1)) - 2) <= 0 then (x mod 2) else 1) + 1)
A111627: 1 2 1 2 1 2 1 2 1 2 2 2 2 2 2 2
loop(\(x,i).((x * 2) + 1),(x div ((x mod 2) + 1)),1)
A290235: 1 1 7 3 31 7 127 15 511 31 2047 63 8191 127 32767 255
loop(\(x,i).(i * x),x,((x div ((x mod 2) + 1)) + 1))
A191662: 1 1 6 12 120 360 5040 20160 362880 1814400 39916800 239500800 6227020800 43589145600 1307674368000 10461394944000
loop(\(x,i).(x * 2),(x - (x div ((x mod 2) + 1))),1)
A072345: 1 2 1 4 1 8 1 16 1 32 1 64 1 128 1 256
(((if x <= 0 then 1 else (x * x)) * ((x mod 2) + 1)) + 1)
A130076: 2 3 5 19
loop(\(x,i).(i * x),(((x * x) * (x mod 2)) - 1),1)
A168359: 1 1 1 40320
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) + 1)
A178248: 2 13 145 1729 20737 248833 2985985 35831809 429981697 5159780353 61917364225 743008370689 8916100448257 106993205379073 1283918464548865 15407021574586369
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - 1)
A024140: 0 11 143 1727 20735 248831 2985983 35831807 429981695 5159780351 61917364223 743008370687 8916100448255 106993205379071 1283918464548863 15407021574586367
(2 div ((if ((x div 2) mod (2 + 1)) <= 0 then x else 1) + 1))
A090405: 2 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1
((x div loop(\(x,i).((i div (x + 2)) + 1),x,1)) + 1)
A137467: 1 2 3 2 3 3 4
A257213: 1 2 3 2 3 3 4 4 3 5 4 4 5 5 5 4
(loop(\(x,i).((x * 2) * 2),((x + 1) * x),1) - 1)
A172322: 0 15 4095 16777215 1099511627775 1152921504606846975 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else 1) + 1)
A216455: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1)
A062397: 2 11 101 1001 10001 100001 1000001 10000001 100000001 1000000001 10000000001 100000000001 1000000000001 10000000000001 100000000000001 1000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1)
A002283: 0 9 99 999 9999 99999 999999 9999999 99999999 999999999 9999999999 99999999999 999999999999 9999999999999 99999999999999 999999999999999
loop(\(x,i).((i + 2) * x),(((x + 2) * x) - 1),1)
A264040: 1 12 181440 10461394944000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((1 - (x * 2)) mod loop(\(x,i).(x * 2),x,1)) + 1)
A132824: 1 2 2 4 10 24 54 116 242 496 1006 2028 4074 8168 16358 32740
((x * x) - (x - (loop(\(x,i).(x * 2),x,1) + 1)))
A201363: 2 3 7
A020873: 2 3 7 15 29 53 95 171 313 585 1115 2159 4229 8349 16567 32979
(((x + 1) div 2) mod ((if (x mod 2) <= 0 then x else 1) + 1))
A166514: 0 1 1 0 2 1 3 0 4 1 5 0 6 1 7 0
(loop(\(x,i).(((i + 1) * x) + (i mod 2)),x,1) - 1)
A001540: 0 2 8 36 184 1110 7776 62216 559952 5599530 61594840 739138092 9608795208 134523132926 2017846993904 32285551902480
((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) + 1)
A158123: 82 163 244 325 406 487 568 649 730 811 892 973 1054 1135 1216 1297
((loop(\(x,i).(x * x),2,(x + 1)) * (x + 1)) - 1)
A258807: 0 31 242 1023 3124 7775 16806 32767 59048 99999 161050 248831 371292 537823 759374 1048575
(loop(\(x,i).((x - i) * x),(x - 1),(x + 1)) + 1)
A201363: 2 3 7
A062935: 2 3 7 121
(loop(\(x,i).(((x * x) * x) - 1),2,(x + 1)) + 1)
A117197: 0 343 17576 250047 1906624 9938375 40001688 133432831 385828352 997002999 2352637000 5150827583 10590025536 20638466407 38409197624 68669157375
(((loop(\(x,i).(i * x),x,1) + 2) * (x + 1)) - 1)
A139464: 2 5 11 31 129 731 5053 40335 362897 3628819 39916821 479001623 6227020825 87178291227 1307674368029 20922789888031
((loop(\(x,i).((x * x) * 2),2,2) * (x + 1)) + 1)
A157951: 129 257 385 513 641 769 897 1025 1153 1281 1409 1537 1665 1793 1921 2049
((loop(\(x,i).((x * x) * 2),2,2) * (x + 1)) - 1)
A157949: 127 255 383 511 639 767 895 1023 1151 1279 1407 1535 1663 1791 1919 2047
((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) + 1)
A158231: 257 513 769 1025 1281 1537 1793 2049 2305 2561 2817 3073 3329 3585 3841 4097
((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) - 1)
A158250: 255 511 767 1023 1279 1535 1791 2047 2303 2559 2815 3071 3327 3583 3839 4095
loop(\(x,i).(x * x),2,(((2 + 2) * (x + 1)) - 1))
A016840: 81 2401 14641 50625 130321 279841 531441 923521 1500625 2313441 3418801 4879681 6765201 9150625 12117361 15752961
(loop(\(x,i).((i * i) * x),(2 + 2),(x + 1)) + 1)
A158370: 577 1153 1729 2305 2881 3457 4033 4609 5185 5761 6337 6913 7489 8065 8641 9217
(loop(\(x,i).((i * i) * x),(2 + 2),(x + 1)) - 1)
A158372: 575 1151 1727 2303 2879 3455 4031 4607 5183 5759 6335 6911 7487 8063 8639 9215
((loop(\(x,i).((x + 2) * x),2,2) * (x + 1)) - 1)
A046050: 79 159 239 319 399 479 559
((loop(\(x,i).((x * x) * x),2,2) * (x + 1)) - 1)
A158011: 511 1023 1535 2047 2559 3071 3583 4095 4607 5119 5631 6143 6655 7167 7679 8191
(loop(\(x,i).((x + 1) * 2),x,(2 div (x + 1))) - 1)
A290113: 1 3 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533
(x - ((loop(\(x,i).(x * 2),x,2) mod (x + 1)) - 1))
A082494: 1 2 1 4 3 2 5 8 1 6 9 8 11 10 7 16
loop(\(x,i).(i * x),x,(((x + 2) * (x + 1)) - 1))
A213167: 1 5 22 114 696 4920 39600 357840 3588480 39553920 475372800 6187104000 86699289600 1301447347200 20835611596800 354379753728000
loop(\(x,i).(x * x),1,(((x * 2) * (x + 1)) + 1))
A007204: 1 25 169 625 1681 3721 7225 12769 21025 32761 48841 70225 97969 133225 177241 231361
((loop(\(x,i).(x * 2),x,(x * 2)) div (x + 1)) + 1)
A213255: 1 3 6 13 26 54 110 225 456 922 1862 3755 7562 15214 30584 61441
((((if x <= 0 then 1 else x) + (x mod 2)) * (x + 1)) + 1)
A181447: 2 5 7 17
(loop(\(x,i).((i * i) * (x * x)),2,(x + 1)) + 1)
A211412: 5 65 325 1025 2501 5185 9605 16385 26245 40001 58565 82945 114245 153665 202501 262145
loop(\(x,i).(((i + 2) * x) * (i + 2)),(x + 1),1)
A162993: 9 144 3600 129600 6350400 406425600 32920473600 3292047360000 398337730560000 57360633200640000 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * 2),x,1) - x) * (x + 1)) - 1)
A092442: 0 1 5 19 59 161 405 967 2231 5029 11153 24443 53091 114505 245549 524047
((loop(\(x,i).(x * 2),(x - 1),x) * (x + 1)) + 1)
A318165: 1 3 13
A048482: 1 3 13 49 161 481 1345 3585 9217 23041 56321 135169 319489 745473 1720321 3932161
((loop(\(x,i).((x + 2) * x),2,x) * (x + 1)) - 1)
A126426: ~1 29 239 1019 3119 7769 16799 32759 59039 99989 161039 248819 371279 537809 759359 1048559
loop(\(x,i).(((i div 2) + (i * 2)) * x),(x + 1),1)
A317980: 2 10 70 700 8400 126000 2142000 42840000 942480000 23562000000 636174000000 19085220000000 610727040000000 21375446400000000 790891516800000000 4611686018427387903
loop(\(x,i).(((i * i) * (i * 2)) - x),(x + 1),1)
A126950: 1 15 39 89 161 271 415 609 849 1151 1511 1945 2449 3039 3711 4481
loop(\(x,i).((((i mod 2) * i) + x) * x),(x + 1),1)
A329102: 2 4 28 784
loop(\(x,i).(((i div (2 + 1)) + i) * x),(x + 1),1)
A319949: 1 2 8 40 240 1920 17280 172800 2073600 26956800 377395200 6038323200 102651494400 1847726899200 36954537984000 776045297664000
loop(\(x,i).(((x * x) mod (i + 1)) + 1),(x - 1),1)
A125678: 1 1 2 2 1 2 5 5 2 5 6 4 5 13 2 5
((loop(\(x,i).((i * x) + 1),x,1) * (x - 1)) + 1)
A093964: 0 1 6 33 196 1305 9786 82201 767208 7891281 88776910 1085051121 14322674796 203121569833 3080677142466 49764784609065
((loop(\(x,i).(x * x),2,(x - 1)) * (x - 1)) + 1)
A002561: 0 1 2 33 244 1025 3126 7777 16808 32769 59050 100001 161052 248833 371294 537825
loop(\(x,i).((x - (x div (0 - 2))) * 2),(x - 1),1)
A052156: 1 1 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292
loop(\(x,i).(((i * x) + (x div 2)) * 2),(x - 1),1)
A293962: 1 1 2 10 70 630 6930 90090 1351350 22972950 436486050 9166207050 210822762150 5270569053750 142305364451250 4126855569086250
loop(\(x,i).(i * x),x,(((x + 2) * (x - 1)) - 1))
A152456: ~3 ~1 6 54 408 3240 28080 267120 2782080 31570560 388281600 5149267200 73287244800 1114636723200 18045906278400 309918825216000
(1 - ((x mod 2) - loop(\(x,i).(x * 2),(x - 1),1)))
A052950: 2 1 3 4 9 16 33 64 129 256 513 1024 2049 4096 8193 16384
loop(\(x,i).(((i * x) * 2) - (x div 2)),(x - 1),1)
A119602: 1 1 2 7 39
loop(\(x,i).((((i + 1) * 2) + 1) * x),(x - 1),1)
A102147: 1 1 5 35 315 3465 45045 675675 11486475 218243025 4583103525 105411381075 2635284526875 71152682225625 2063427784543125 63966261320836875
loop(\(x,i).((((i * 2) * 2) + 1) * x),(x - 1),1)
A007696: 1 1 5 45 585 9945 208845 5221125 151412625 4996616625 184874815125 7579867420125 341094033905625 16713607661375625 885821206052908125 4611686018427387903
loop(\(x,i).((((i + 2) * i) + 2) * x),(x - 1),1)
A051893: 1 1 5 50 850 22100 817700 40885000 2657525000 217917050000 22009622050000 2685173890100000 389350214064500000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) + 1) * i) * x),(x - 1),1)
A327021: 1 1 3 30 630 22680 1247400 97297200 10216206000 1389404016000 237588086736000 49893498214560000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - (i mod 2)) * i) + x),(x - 1),1)
A174318: 1 1 1 3 9 45 265 1855 14833 133497 1334961 14684571 176214841 2290792933 32071101049 481066515735
loop(\(x,i).(((i * i) * (i * i)) + x),(x - 1),1)
A267691: 1 1 2 18 99 355 980 2276 4677 8773 15334 25334 39975 60711 89272 127688
loop(\(x,i).((((x * x) div 2) + 2) * i),(x - 1),1)
A008926: 1 1 2 8 102
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + 1)
A034491: 2 8 50 344 2402 16808 117650 823544 5764802 40353608 282475250 1977326744 13841287202 96889010408 678223072850 4747561509944
((if (x - (2 + 2)) <= 0 then x else ((x * x) + 1)) + 1)
A084853: 1 2 3 4 5 27
(loop(\(x,i).(((i * i) * i) * (i * x)),x,1) + 1)
A260478: 2 2 17 1297 331777 207360001 268738560001 645241282560001 2642908293365760001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) + 1)
A339876-A333844-A318497-A317933-A223728-A223726-A069292: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else 2) + 1)
A147381-A147343-A147072-A146906-A105592-A072917: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3
(x - (if ((x mod (2 + 1)) - 1) <= 0 then (0 - 2) else 1))
A130508: 2 3 1 5 6 4 8 9 7 11 12 10 14 15 13 17
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (0 - 2) else 1)
A140345: 1 1 1 1 ~2 1 1 1 1 ~2 1 1 1 1 ~2 1
((if (x - 2) <= 0 then 1 else 2) - (x div ((0 - 2) - 1)))
A138161: 1 2 2 3 4 4 4 5 5
loop(\(x,i).(i * x),((x mod 2) - (x div (0 - 2))),1)
A284434: 1 2 1 6 2 24 6
((x + 2) - ((1 - x) div ((if x <= 0 then 0 else 2) + 1)))
A186145: 1 3 5 6 7 9 10 11 13 14 15 17 18 19 21 22
(((x - loop(\(x,i).(i - (i * x)),x,0)) div 2) + 1)
A009281: 1 1 2 1 7 ~19 136 ~923 7421 ~66743 667486 ~7342279 88107427 ~1145396459 16035550532 ~240533257859
(((x - (if (x - (2 + 2)) <= 0 then 0 else 1)) mod 2) + 1)
A083921: 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1
(if (((x div 2) mod ((2 + 2) + 1)) - 1) <= 0 then 2 else 1)
A078786: 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1
(((x mod ((if (x - 2) <= 0 then 0 else 2) + 1)) div 2) + 1)
A107751: 1 1 1 1 1 2 1 1 2 1 1 2 1 1 2 1
(if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1)
A043280-A022931: 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1
loop(\(x,i).i,((x mod (((2 + 1) * 2) + 1)) div 2),1)
A106797: 1 1 1 1 2 2 3 1 1 1 1 2 2 3 1 1
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 1)
A337584-A325989-A325625-A318672-A280940-A270419-A245690-A134870-A091887-A055229: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1
(if ((x - 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 1)
A078379-A031260: 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1
((x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else 2)) + 1)
A297782-A043565-A043541: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2
((x mod (if (((x div 2) - 2) - 2) <= 0 then 1 else 2)) + 1)
A215745: 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2
((if ((x div ((x mod 2) + 2)) - 2) <= 0 then 1 else 2) + 1)
A212300: 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3
(if (((x div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A337198-A335208-A030409-A025453: 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
(if (((x div 2) + 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A030407: 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1
loop(\(x,i).(x + 2),(x - (((2 + 2) + 1) * 2)),1)
A133848: 1 1 1 1 1 1 1 1 1 1 1 3 5 7 9 11
loop(\(x,i).(x * 2),(x - (((2 + 2) + 1) * 2)),1)
A275077-A275065: 1 1 1 1 1 1 1 1 1 1 1 2 4 8 16 32
loop(\(x,i).(i + x),(x - (((2 + 2) + 1) * 2)),1)
A212369: 1 1 1 1 1 1 1 1 1 1 1 2 4 7 11 16
loop(\(x,i).(i * x),(x mod (((2 + 2) + 1) * 2)),1)
A066459: 1 1 2 6 24 120 720 5040 40320 362880 1 1 2 6 24 120
(loop(\(x,i).(x * x),x,(((2 + 2) + 1) * 2)) + 1)
A080176: 11 101 10001 100000001 10000000000000001 4611686018427387903 4611686018427387903
(if ((x * 2) mod (((x + 2) + 2) + 1)) <= 0 then 2 else 1)
A136441: 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
((loop(\(x,i).(i + x),((x div 2) - 2),1) div 2) + 1)
A108104: 1 1 1 1 1 1 2 2 3 3 4 4 6 6 9 9
(if x <= 0 then 0 else ((((x - 1) mod (2 + 1)) * 2) + 1))
A021078: 0 1 3 5 1 3 5 1 3 5 1 3 5 1 3 5
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1)
A340654-A340596-A338160-A334933-A330461-A327528-A323719-A323163-A322320-A322318-A320105-A309004-A308479-A304779-A285337-A282749-A275215-A274193-A264857-A215870-A213211-A194673-A146291-A107910-A063686-A062760-A043285-A014649-A003652: 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
(if ((x - 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1)
A333254: 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1
(if ((x + 2) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1)
A344008-A286520-A249771-A198067-A124778-A103754-A088530-A083911-A083230-A057523-A053632-A043284: 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
(if (x - (((x div 2) - 2) * (2 + 1))) <= 0 then 2 else 1)
A297781-A043564-A043540: 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2
((loop(\(x,i).(x * x),x,2) + ((2 + 1) * 2)) + 1)
A130730: 9 11 23 263 65543 4294967303 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) div (((2 + 1) * 2) + 1))
A155803: 0 0 0 1 2 4 9 18 36 73 146 292 585 1170 2340 4681
(if (x - 1) <= 0 then (x * 2) else (((2 + 1) * 2) + 1))
A021040: 0 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7
(if x <= 0 then 1 else ((x div 2) div (((2 + 1) * 2) + 1)))
A284991-A017908: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
loop(\(x,i).((x * 2) * 2),x,(((2 + 1) * 2) + 1))
A002042: 7 28 112 448 1792 7168 28672 114688 458752 1835008 7340032 29360128 117440512 469762048 1879048192 7516192768
((if x <= 0 then 1 else x) - (x div (((2 + 1) * 2) + 1)))
A213851: 1 1 2 3 4 5 6 6 7 8 9 10 11 12 12 13
loop(\(x,i).((2 + 1) * x),x,(((2 + 1) * 2) + 1))
A005032: 7 21 63 189 567 1701 5103 15309 45927 137781 413343 1240029 3720087 11160261 33480783 100442349
loop(\(x,i).((i + 1) * x),x,(((2 + 1) * 2) + 1))
A062098: 7 14 42 168 840 5040 35280 282240 2540160 25401600 279417600 3353011200 43589145600 610248038400 9153720576000 146459529216000
(loop(\(x,i).((x * x) - 2),x,((2 + 1) * 2)) - 1)
A145505: 5 33 1153 1331713 1773462177793 4611686018427387903 4611686018427387903
loop(\(x,i).i,((x - 1) mod ((x mod (2 + 1)) + 2)),1)
A331311: 1 1 1 1 1 1 1 1 3 1 1 2 1 1 1 1
((loop(\(x,i).((x + 1) * x),x,(2 + 1)) * 2) + 1)
A231579: 7 25 313 48985 1199765113 719718163185951385 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + 2) * x),(x + 2),1) div 2) + 1)
A139151: 7 31 181 1261 10081 90721 907201 9979201 119750401 1556755201 21794572801 326918592001 5230697472001 88921857024001 1600593426432001 30411275102208001
((loop(\(x,i).((i + 2) * x),(x + 2),1) div 2) - 1)
A139174: 5 29 179 1259 10079 90719 907199 9979199 119750399 1556755199 21794572799 326918591999 5230697471999 88921857023999 1600593426431999 30411275102207999
(loop(\(x,i).((x * 2) * 2),((x * 2) + 1),2) - 1)
A241955: 7 127 2047 32767 524287 8388607 134217727 2147483647 34359738367 549755813887 8796093022207 140737488355327 2251799813685247 36028797018963967 576460752303423487 4611686018427387903
loop(\(x,i).((2 + 1) * x),(((x * 2) + 1) * 2),1)
A013714: 9 729 59049 4782969 387420489 31381059609 2541865828329 205891132094649 16677181699666569 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),((x * 2) + 1),2) + 1)
A199564: 7 55 487 4375 39367 354295 3188647 28697815 258280327 2324522935 20920706407 188286357655 1694577218887 15251194969975 137260754729767 1235346792567895
((if (x mod 2) <= 0 then x else (((x div 2) + 1) mod 2)) + 1)
A086112: 1 2 3 1 5 2 7 1 9 2 11 1 13 2 15 1
((x + 2) - loop(\(x,i).i,(((x div 2) - 1) div 2),1))
A061069: 1 2 3 4 5 6 7 8 9 10 10 11 12 13 13 14
((loop(\(x,i).((x + 1) * (2 + 1)),x,1) div 2) + 1)
A060925: 1 4 11 34 101 304 911 2734 8201 24604 73811 221434 664301 1992904 5978711 17936134
((loop(\(x,i).((x + 2) * (2 + 1)),x,1) * 2) - 1)
A036545: 1 17 65 209 641 1937 5825 17489 52481 157457 472385 1417169 4251521 12754577 38263745 114791249
((loop(\(x,i).(((x + 2) + 1) * 2),x,1) * 2) - 1)
A173873: 1 15 43 99 211 435 883 1779 3571 7155 14323 28659 57331 114675 229363 458739
((loop(\(x,i).((i mod 2) + (x * 2)),x,1) div 2) + 1)
A107949: 1 2 4 7 14 27 54
(loop(\(x,i).((2 + 2) * (x + 1)),(x + 1),2) + 1)
A206444: 13 53 213 853 3413 13653 54613 218453 873813 3495253
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 1)
A297382: 2 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2
(loop(\(x,i).(x * x),((x + 2) * (x + 1)),2) + 1)
A257377: 17 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A257305: 17 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,2) div (((x + 1) * 2) + 1))
A191630: 0 0 1 1 2 4 8 15 26 48 89 163 303 564 1057 1985
loop(\(x,i).((x * 2) * (2 + 1)),((x + 1) div 2),1)
A056452: 1 6 6 36 36 216 216 1296 1296 7776 7776 46656 46656 279936 279936 1679616
loop(\(x,i).((0 - x) * (2 + 1)),((x + 1) div 2),1)
A128019: 1 ~3 ~3 9 9 ~27 ~27 81 81 ~243 ~243 729 729 ~2187 ~2187 6561
loop(\(x,i).(((x * 2) * 2) * 2),((x + 1) div 2),1)
A164683: 1 8 8 64 64 512 512 4096 4096 32768 32768 262144 262144 2097152 2097152 16777216
loop(\(x,i).(((2 + 2) + 1) * x),((x + 1) div 2),1)
A162962-A056451: 1 5 5 25 25 125 125 625 625 3125 3125 15625 15625 78125 78125 390625
(if (((x div 2) - 2) - 2) <= 0 then ((x + 1) mod 2) else 1)
A230093: 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1
(loop(\(x,i).(x * 2),(x div 2),((x + 1) mod 2)) + 1)
A052552: 2 1 3 1 5 1 9 1 17 1 33 1 65 1 129 1
(((if ((x div 2) - 2) <= 0 then x else (x + 1)) * 2) + 1)
A204457: 1 3 5 7 9 11 15 17 19 21 23 25 27 29 31 33
((2 - loop(\(x,i).((i + 2) * x),(x + 1),2)) + 1)
A092634: ~3 ~21 ~117 ~717 ~5037 ~40317 ~362877 ~3628797 ~39916797 ~479001597 ~6227020797 ~87178291197 ~1307674367997 ~20922789887997 ~355687428095997 ~6402373705727997
((loop(\(x,i).((i + 1) * x),x,(x + 1)) div 2) + 1)
A188545: 1 3 10
A082426: 1 3 10 49 301 2161 17641 161281 1632961 18144001 219542401 2874009601 40475635201 610248038401 9807557760001 167382319104001
(((if (x - 2) <= 0 then (x * x) else (x + 1)) div 2) + 1)
A270059: 1 1 3 3 3 4 4 5 5 6 6 7 7 8 8 9
((loop(\(x,i).((x + 1) * i),x,(x + 1)) div 2) + 1)
A210690: 1 2 6 20 93
(loop(\(x,i).(((i mod 2) + i) * x),(x + 1),2) - 1)
A103901: 3 7 31 127
loop(\(x,i).((x * x) * (2 + 2)),((x - 1) * 2),1)
A295175: 1 1 64 1073741824 4611686018427387903
(loop(\(x,i).(((i + x) div 2) * x),(x - 1),2) - 1)
A120587: 1 1 1 3 11 95
((((x mod 2) * x) + 2) div ((if x <= 0 then 1 else 2) + 1))
A243319: 1 1 0 1 0 2 0 3 0 3
(((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1)
A171372: 1 5 5 5 5 1 5 5 5 5 1 5 5 5 5 1
(((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) + 1)
A032560: 1 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5
(x - ((if x <= 0 then 1 else x) div (((0 - 2) - 2) - 1)))
A189891-A184520-A048265-A032798-A030173: 1 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18
loop(\(x,i).(x * x),1,(x div (((0 - 2) - 2) - 1)))
A287392: 0 1 1 1 1 1 4 4 4 4 4 9 9 9 9 9
loop(\(x,i).(x * x),1,((x div ((0 - 2) - 2)) - 1))
A013189: 1 4 4 4 4 9 9 9 9 16 16 16 16 25 25 25
(if (2 - x) <= 0 then (x - (x div ((0 - 2) - 2))) else 1)
A118170: 1 1 3 4 5 7 8 9 10 12 13 14 15 17 18 19
((if x <= 0 then 1 else ((x - (x div (0 - 2))) * 2)) + 1)
A020581: 2 5 7 11 13 17
(((x + 2) * 2) div (((if x <= 0 then 0 else 2) + 2) + 1))
A061375: 1 1 1 2 2 2 3 3 4 4 4 5 5 6 6 6
(1 - ((1 - x) div (((if x <= 0 then 0 else 2) * 2) + 1)))
A105511: 0 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4
(if (x mod ((((2 + 1) * 2) + 1) * 2)) <= 0 then 2 else 1)
A345999: 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
(if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 1)
A329314-A298481-A238900-A191358-A182284-A160094-A147300-A083235-A043283: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1
(if ((x - 2) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 1)
A280010: 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1
(if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then 2 else 1)
A339047-A309997: 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1
(((loop(\(x,i).((x + 2) * 2),x,1) div 2) div 2) + 1)
A172411: 1 2 5 10
A084215: 1 2 5 10 20 40 80 160 320 640 1280 2560 5120 10240 20480 40960
(loop(\(x,i).((x * x) * 2),((x + 1) * 2),2) - 1)
A135983: 127 2147483647 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((2 + 1) * x),x,1) + 2) + 2) + 1)
A168610: 6 8 14 32 86 248 734 2192 6566 19688 59054 177152 531446 1594328 4782974 14348912
(((loop(\(x,i).((2 + 1) * x),x,1) - 2) - 2) - 1)
A168613: ~4 ~2 4 22 76 238 724 2182 6556 19678 59044 177142 531436 1594318 4782964 14348902
((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) * 2) + 1)
A166925: 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1
(((if x <= 0 then 1 else (((2 + 2) * 2) * 2)) * 2) - 1)
A003892: 1 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
(if ((x + 2) mod (((2 + 2) * 2) * 2)) <= 0 then 2 else 1)
A345047-A345045-A334184-A319907-A318829-A297783-A193517-A184340-A167852-A098744-A043566-A043542-A043288: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
(if ((x - (2 + 2)) mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A006466: 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1
(if (((x div 2) + 2) mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A184257: 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1
loop(\(x,i).(x * 2),x,((((2 + 2) * 2) * 2) + 1))
A110287: 17 34 68 136 272 544 1088 2176 4352 8704 17408 34816 69632 139264 278528 557056
loop(\(x,i).(x * 2),x,((((2 + 2) * 2) * 2) - 1))
A110286: 15 30 60 120 240 480 960 1920 3840 7680 15360 30720 61440 122880 245760 491520
(if ((x + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 1)
A307609-A249622-A030556: 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1
(if (x mod 2) <= 0 then (((x mod (2 + 2)) + 2) * 2) else 1)
A089146: 4 1 8 1 4 1 8 1 4 1 8 1 4 1 8 1
loop(\(x,i).i,((x div ((x mod (2 + 2)) + 2)) - 2),1)
A173398: 1 1 1 1 1 1 1 1 2 1 1 1 4 2 1 1
(((loop(\(x,i).(x * x),(x * 2),2) + 2) + 2) + 1)
A130740: 7 21 65541 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(((x div 2) - 2) - 2),2) - 1)
A146450: 1 1 1 1 1 1 1 1 1 1 3 3 7 7 15 15
(loop(\(x,i).(i * x),(((x div 2) - 2) - 2),2) - 1)
A147175-A147159-A147120-A147112-A146828: 1 1 1 1 1 1 1 1 1 1 1 1 3 3 11 11
((if x <= 0 then 0 else ((((x mod 2) + 2) + 2) + 2)) + 1)
A327854: 1 8 7 8
((loop(\(x,i).(x * x),(x * 2),(2 + 2)) + 2) + 1)
A130741: 7 259 4294967299 4611686018427387903
(((x - (if x <= 0 then 0 else 1)) mod ((2 + 2) * 2)) + 1)
A033929: 1 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7
((loop(\(x,i).(x * 2),x,1) + ((2 + 2) * 2)) + 1)
A188165: 10 11 13 17 25 41 73 137 265 521 1033 2057 4105 8201 16393 32777
((loop(\(x,i).(x * 2),x,1) - ((2 + 2) * 2)) - 1)
A185346: ~8 ~7 ~5 ~1 7 23 55 119 247 503 1015 2039 4087 8183 16375 32759
(loop(\(x,i).(x * 2),x,1) div (((2 + 2) * 2) + 1))
A153234: 0 0 0 0 1 3 7 14 28 56 113 227 455 910 1820 3640
(loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * 2) + 1))
A222011: 1 2 4 8
A153130: 1 2 4 8 7 5 1 2 4 8 7 5 1 2 4 8
loop(\(x,i).((x * 2) * 2),x,(((2 + 2) * 2) + 1))
A002063: 9 36 144 576 2304 9216 36864 147456 589824 2359296 9437184 37748736 150994944 603979776 2415919104 9663676416
(if (x - 2) <= 0 then 1 else (x div (((2 + 2) * 2) + 1)))
A266216-A186729: 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1
(loop(\(x,i).((x * x) - 2),x,((2 + 2) * 2)) - 1)
A145507: 7 61 3841 14760961 217885999165441 4611686018427387903 4611686018427387903
loop(\(x,i).((x div 2) + 2),(x - ((2 + 2) * 2)),1)
A025791: 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3
(loop(\(x,i).((2 + 1) * x),x,((2 + 2) * 2)) + 1)
A199111: 9 25 73 217 649 1945 5833 17497 52489 157465 472393 1417177 4251529 12754585 38263753 114791257
(loop(\(x,i).((2 + 1) * x),x,((2 + 2) * 2)) - 1)
A198644: 7 23 71 215 647 1943 5831 17495 52487 157463 472391 1417175 4251527 12754583 38263751 114791255
(loop(\(x,i).((x + 1) * x),x,((2 + 2) * 2)) + 1)
A144782: 9 73 5257 27630793 763460694178057 4611686018427387903 4611686018427387903
(((if (x - (2 + 1)) <= 0 then x else (2 + 2)) + 2) + 1)
A168093: 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7
(((x * x) + 2) div (if (x - (2 + 2)) <= 0 then 2 else 1))
A004044: 1 1 3 5 9 27
(if (x mod 2) <= 0 then x else (((x div (2 + 2)) * 2) + 1))
A186421: 0 1 2 1 4 3 6 3 8 5 10 5 12 7 14 7
(if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 2 else 1)
A332649-A329291-A303929-A303694-A294775-A259094-A210960-A165633-A152830-A118107-A076250-A056059-A055801-A043287: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1
(if (((x * x) - 2) mod ((x + 2) + 2)) <= 0 then 2 else 1)
A030379: 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1
(if (x - 2) <= 0 then x else ((((x + 2) + 2) + 2) + 1))
A278816: 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22
loop(\(x,i).(x * x),1,((((x * 2) * 2) * 2) + 1))
A017078: 1 81 289 625 1089 1681 2401 3249 4225 5329 6561 7921 9409 11025 12769 14641
loop(\(x,i).(x * x),2,((((x * 2) * 2) * 2) + 1))
A017080: 1 6561 83521 390625 1185921 2825761 5764801 10556001 17850625 28398241 43046721 62742241 88529281 121550625 163047361 214358881
(loop(\(x,i).((x * x) * x),((x * 2) * 2),2) + 1)
A050920: 3 4611686018427387903
A115527: 3 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) + 1)
A199562: 5 37 325 2917 26245 236197 2125765 19131877 172186885 1549681957 13947137605 125524238437 1129718145925 10167463313317 91507169819845 823564528378597
((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) - 1)
A198961: 3 35 323 2915 26243 236195 2125763 19131875 172186883 1549681955 13947137603 125524238435 1129718145923 10167463313315 91507169819843 823564528378595
(if (((x * x) + 1) mod ((x div 2) + 2)) <= 0 then 2 else 1)
A031264: 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1
loop(\(x,i).((2 + 1) * x),(((x div 2) - 2) - 2),1)
A147244-A146788-A146575: 1 1 1 1 1 1 1 1 1 1 3 3 9 9 27 27
(if (2 - x) <= 0 then ((x div ((x mod 2) + 2)) mod 2) else 1)
A114000: 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1
loop(\(x,i).(i * x),((((x * x) + 2) * 2) * 2),1)
A045516: 40320 479001600 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),((x * x) * 2),2) * 2) - 1)
A173649: 3 31 4611686018427387903
(if ((((x - 1) div 2) div 2) mod 2) <= 0 then (2 + 2) else 1)
A071907: 1 4 4 4 4 1 1 1 1 4 4 4 4 1 1 1
(loop(\(x,i).(x * x),((x + 2) + 2),(2 + 2)) + 1)
A281576: 4294967297 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),(x * 2),(2 + 2)) + 1)
A207262: 5 65 1025 16385 262145 4194305 67108865 1073741825 17179869185 274877906945 4398046511105 70368744177665 1125899906842625 18014398509481985 288230376151711745 4611686018427387903
(if (x mod (2 + 2)) <= 0 then ((x div 2) mod (2 + 2)) else 1)
A259042: 0 1 1 1 2 1 1 1 0 1 1 1 2 1 1 1
(((x + 2) * x) div (if (x mod 2) <= 0 then (2 + 2) else 1))
A142705: 0 3 2 15 6 35 12 63 20 99 30 143 42 195 56 255
(loop(\(x,i).((x + 1) * 2),x,0) div ((2 + 2) + 1))
A140659: 0 0 1 2 6 12 25 50 102 204 409 818 1638 3276 6553 13106
((loop(\(x,i).(x * 2),x,1) + 1) * ((2 + 2) + 1))
A231643: 10 15 25 45 85 165 325 645 1285 2565 5125 10245 20485 40965 81925 163845
(((if x <= 0 then 1 else 2) * (2 + 1)) * ((2 + 2) + 1))
A040210: 15 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30
(loop(\(x,i).((i * i) + x),x,1) div ((2 + 2) + 1))
A173690: 0 0 1 3 6 11 18 28 41 57 77 101 130 164 203 248
((((if x <= 0 then 0 else 2) + 2) * 2) * ((2 + 2) + 1))
A040380: 20 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40
((2 - ((if x <= 0 then 1 else x) mod 2)) * ((2 + 2) + 1))
A040021: 5 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5
(loop(\(x,i).((x * 2) * 2),x,2) * ((2 + 2) + 1))
A002066: 10 40 160 640 2560 10240 40960 163840 655360 2621440 10485760 41943040 167772160 671088640 2684354560 10737418240
(loop(\(x,i).((i + x) + 2),x,2) * ((2 + 2) + 1))
A269457: 10 25 45 70 100 135 175 220 270 325 385 450 520 595 675 760
(2 - ((if x <= 0 then 1 else (x + 2)) mod ((2 + 2) + 1)))
A257145: 1 ~1 ~2 2 1 0 ~1 ~2 2 1 0 ~1 ~2 2 1 0
(if (x - 2) <= 0 then 1 else ((x + 2) div ((2 + 2) + 1)))
A125893-A094999: 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3
loop(\(x,i).((x * x) - 2),(x * 2),((2 + 2) + 1))
A219164: 5 527 77132286527 4611686018427387903
(if (x - 2) <= 0 then 1 else ((x * 2) div ((2 + 2) + 1)))
A294622-A025778: 1 1 1 1 1 2 2 2 3 3 4 4 4 5 5 6
(if (x - 2) <= 0 then 1 else ((x div 2) div ((2 + 2) + 1)))
A204269: 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1
(loop(\(x,i).((2 + 1) * x),x,2) * ((2 + 2) + 1))
A005052: 10 30 90 270 810 2430 7290 21870 65610 196830 590490 1771470 5314410 15943230 47829690 143489070
loop(\(x,i).(((x * 2) * 2) - 1),x,((2 + 2) + 1))
A206373: 5 19 75 299 1195 4779 19115 76459 305835 1223339 4893355 19573419 78293675 313174699 1252698795 5010795179
(loop(\(x,i).(i * x),(x - 1),x) * ((2 + 2) + 1))
A052648: 0 5 10 30 120 600 3600 25200 201600 1814400 18144000 199584000 2395008000 31135104000 435891456000 6538371840000
loop(\(x,i).((x * x) div (2 + 2)),x,((2 + 2) + 1))
A014980: 5 6 9 20 100 2500 1562500 610351562500 4611686018427387903 4611686018427387903 4611686018427387903
(x mod ((if (x mod 2) <= 0 then 2 else x) * ((2 + 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A059707: 0 1 2 3 4 5 6 7 8 9 0 11 2 13 4 15
loop(\(x,i).(((x + 1) * x) div 2),x,((2 + 2) + 1))
A050542: 5 15 120 7260 26357430 347357071281165 4611686018427387903 4611686018427387903
(((if (x - 1) <= 0 then x else 2) + x) + ((2 + 2) + 1))
A194394: 5 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22
(((if (x - (2 + 2)) <= 0 then 1 else x) div (2 + 2)) + 1)
A076885: 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4
(loop(\(x,i).((x * 2) * (2 + 1)),x,(2 + 2)) + 1)
A199319: 5 25 145 865 5185 31105 186625 1119745 6718465 40310785 241864705 1451188225 8707129345 52242776065 313456656385 1880739938305
(loop(\(x,i).((x * 2) * (2 + 1)),x,(2 + 2)) - 1)
A198797: 3 23 143 863 5183 31103 186623 1119743 6718463 40310783 241864703 1451188223 8707129343 52242776063 313456656383 1880739938303
(loop(\(x,i).((x * 2) * (x + 1)),x,(2 + 2)) + 1)
A145008: 5 41 3281 21523361 926510094425921 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x + 2) * 2) * 2),x,(2 + 2)) + 1)
A146882: 5 25 105 425 1705 6825 27305 109225 436905 1747625 6990505 27962025 111848105 447392425 1789569705 7158278825
(loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 2)) + 1)
A199552: 5 33 257 2049 16385 131073 1048577 8388609 67108865 536870913 4294967297 34359738369 274877906945 2199023255553 17592186044417 140737488355329
(loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 2)) - 1)
A198852: 3 31 255 2047 16383 131071 1048575 8388607 67108863 536870911 4294967295 34359738367 274877906943 2199023255551 17592186044415 140737488355327
(x mod (((if (x mod 2) <= 0 then 2 else x) * (2 + 2)) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A059717: 0 1 2 3 4 5 6 7 8 9 1 11 3 13 5 15
((0 - (if ((2 - x) + 2) <= 0 then x else (2 + 2))) - 1)
A291497: ~5 ~5 ~5 ~5 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12 ~13 ~14 ~15 ~16
((x + 2) mod loop(\(x,i).(i * x),(x div (2 + 2)),1))
A297330-A165111-A040163-A037904: 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5
((x * x) mod loop(\(x,i).(i + x),(x mod (2 + 2)),1))
A096271: 0 1 0 2 0 1 0 0 0 1 0 2 0 1 0 1
(((x + 2) * 2) - loop(\(x,i).i,(x mod (2 + 2)),1))
A047582: 3 5 6 7 11 13 14 15 19 21 22 23 27 29 30 31
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) + 1)
A199215: 5 21 101 501 2501 12501 62501 312501 1562501 7812501 39062501 195312501 976562501 4882812501 24414062501 122070312501
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) - 1)
A198763: 3 19 99 499 2499 12499 62499 312499 1562499 7812499 39062499 195312499 976562499 4882812499 24414062499 122070312499
((loop(\(x,i).((x + 2) * 2),x,x) div (2 + 2)) + 1)
A131352: 1 2 6 14 32 72 160 352 768 1664 3584 7680 16384 34816 73728 155648
loop(\(x,i).((2 + 1) * x),((x * x) div (2 + 2)),1)
A078684: 1 1 3 9 81 729 19683 531441 43046721 3486784401 847288609443 205891132094649 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903
((x * x) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070465: 0 1 4 9 16 25 36 6 21 38 14 35 15 40 24 10
((loop(\(x,i).((x mod (i + 1)) + 2),x,2) * 2) - 1)
A172097: 3 3 7 3 7 11 15 3 7 11 15 19 23 27 31 3
(((x + 2) * 2) - (if ((2 - x) + 2) <= 0 then 2 else 1))
A308412: 3 5 7 9 10 12 14 16 18 20 22 24 26 28 30 32
(loop(\(x,i).(x * x),(x - ((2 - x) div 2)),2) + 1)
A249759: 3 5 17 65537
(if (2 - x) <= 0 then ((((x div 2) * x) mod 2) + 2) else 1)
A185049: 1 1 2 3 2 2 2 3 2 2 2 3 2 2 2 3
loop(\(x,i).i,(x - ((((x mod 2) * x) + 2) * 2)),1)
A318775: 1 1 1 1 1 1 2 1 4 1 6 1 8 1 10 1
(loop(\(x,i).(x * 2),(((x mod 2) * x) div 2),2) - 1)
A094024: 1 1 1 3 1 7 1 15 1 31 1 63 1 127 1 255
(if (x - (2 + 2)) <= 0 then x else (((x + 2) + 2) + 1))
A119798: 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20
(if (x mod 2) <= 0 then (2 - x) else (((x + 2) + 2) + 1))
A227805: 2 6 0 8 ~2 10 ~4 12 ~6 14 ~8 16 ~10 18 ~12 20
((if (x - (2 + 2)) <= 0 then x else ((x + 2) + 2)) + 1)
A261039: 1 2 3 4 5 10 11
(loop(\(x,i).(((i * x) * x) + 2),(x - 2),2) - 1)
A319767: 1 1 1 5 73
(if (x - (2 + 2)) <= 0 then x else (((x - 2) * 2) - 1))
A067570: 0 1 2 3 4 5 7
A032515-A004276: 0 1 2 3 4 5 7 9 11 13 15 17 19 21 23 25
((if (x - (2 + 1)) <= 0 then x else ((x - 2) * 2)) + 1)
A033057-A004281: 1 2 3 4 5 7 9 11 13 15 17 19 21 23 25 27
(((x mod 2) + (x * 2)) + (if (x - 2) <= 0 then 2 else 1))
A273867: 2 5 6 8 9 12
(loop(\(x,i).((x + 1) * (2 + 1)),(x * 2),2) + 1)
A198964: 3 31 283 2551 22963 206671 1860043 16740391 150663523 1355971711 12203745403 109833708631 988503377683 8896530399151 80068773592363 720618962331271
(loop(\(x,i).(((2 + 1) * x) + 1),(x * 2),2) + 1)
A135423: 3 23 203 1823 16403 147623 1328603 11957423 107616803 968551223 8716961003 78452649023 706073841203 6354664570823 57191981137403 514727830236623
((if ((x mod (2 + 1)) mod 2) <= 0 then (x * 2) else 2) + 1)
A130140: 1 3 5 7 3 11 13
(loop(\(x,i).(((x * 2) + 1) * 2),(x * 2),2) + 1)
A141060: 3 43 683 10923 174763 2796203 44739243 715827883 11453246123 183251937963 2932031007403 46912496118443 750599937895083 12009599006321323 192153584101141163 3074457345618258603
(loop(\(x,i).((1 - x) * (2 + 2)),(x * 2),2) - 1)
A182460: 1 19 307 4915 78643 1258291 20132659 322122547 5153960755 82463372083 1319413953331 21110623253299 337769972052787 5404319552844595 86469112845513523 1383505805528216371
loop(\(x,i).(x * x),(2 + 1),(((x * 2) * 2) + 1))
A016820: 1 390625 43046721 815730721 6975757441 37822859361 152587890625 500246412961 1406408618241 3512479453921 7984925229121 16815125390625 33232930569601 62259690411361 111429157112001 191707312997281
loop(\(x,i).((x * x) * x),1,(((x * 2) * 2) + 1))
A016815: 1 125 729 2197 4913 9261 15625 24389 35937 50653 68921 91125 117649 148877 185193 226981
loop(\(x,i).((x * x) * x),2,(((x * 2) * 2) + 1))
A016821: 1 1953125 387420489 10604499373 118587876497 794280046581 3814697265625 14507145975869 46411484401953 129961739795077 327381934393961 756680642578125 1628413597910449 3299763591802133
loop(\(x,i).((x - i) * x),2,(((x * 2) * 2) - 1))
A054777: 0 24 1680 11880 43680 116280 255024 491400 863040 1413720 2193360 3258024 4669920 6497400 8814960 11703240
(loop(\(x,i).((x - 1) * 2),x,((x * 2) * 2)) + 1)
A339771: 1 7 27 83 227 579 1411 3331 7683 17411 38915 86019 188419 409603 884739 1900547
loop(\(x,i).(((x - 2) * i) * x),((x * 2) * 2),1)
A127224: 1 20160 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - (i mod 2)) * 2),(x div 2),2) - 1)
A077893: 1 1 1 1 3 3 5 5 11 11 21 21 43 43 85 85
(loop(\(x,i).((x * 2) - (i mod 2)),(x div 2),2) - 1)
A287744: 1 1 2 2 5 5 10 10 21 21 42 42 85 85 170 170
(((loop(\(x,i).(x * 2),x,1) - (x mod 2)) * 2) - 1)
A284353: 1 1 7 13 31 61 127 253 511 1021 2047 4093 8191 16381 32767 65533
((if (x - 2) <= 0 then x else ((2 - (x mod 2)) + 2)) + 1)
A291520: 1 2 3 4 5 4 5 4 5 4 5 4 5 4 5 4
(loop(\(x,i).(x * 2),(x div (2 - (x mod 2))),2) - 1)
A285542: 1 3 3 15 7 63 15 255 31 1023 63 4095 127 16383 255 65535
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 1)
A209721: 3 4 5 7 9 13 17 25 33 49 65 97 129 193 257 385
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) - 1)
A052955: 1 2 3 5 7 11 15 23 31 47 63 95 127 191 255 383
loop(\(x,i).(x * 2),(x div 2),(((x mod 2) + 2) + 1))
A163978: 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512
((loop(\(x,i).(x * 2),x,1) - ((x mod 2) * 2)) + 1)
A014551: 2 1 5 7 17 31 65 127 257 511 1025 2047 4097 8191 16385 32767
((loop(\(x,i).(x * 2),x,1) - ((x mod 2) * 2)) - 1)
A166956: 0 ~1 3 5 15 29 63 125 255 509 1023 2045 4095 8189 16383 32765
(if (x mod (2 + 1)) <= 0 then 0 else (((x mod 2) * 2) + 1))
A120323: 0 3 1 0 1 3 0 3 1 0 1 3 0 3 1 0
loop(\(x,i).(x * 2),(x div 2),(((x mod 2) * 2) + 1))
A164073: 1 3 2 6 4 12 8 24 16 48 32 96 64 192 128 384
loop(\(x,i).(i * x),(x * 2),(((x mod 2) * 2) - 1))
A186246: ~1 2 ~24 720 ~40320 3628800 ~479001600 87178291200 ~20922789888000 6402373705728000 ~2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (if (((x div 2) - 2) - 2) <= 0 then 0 else (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A245351-A081598-A028902: 0 1 2 3 4 5 6 7 8 9 7 8 9 10 11 12
(loop(\(x,i).(((x * 2) * 2) + i),x,0) div (2 + 1))
A178875: 0 0 2 9 37 151 606 2426 9708 38835 155343 621377 2485512 9942052 39768214 159072861
(loop(\(x,i).((x div 2) + x),x,(0 - 1)) mod (2 + 1))
A304273: 2 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1
((loop(\(x,i).((1 - x) * 2),x,0) + 1) div (2 + 1))
A135258: 0 1 ~1 2 ~3 7 ~14 29 ~57 114 ~227 455 ~910 1821 ~3641 7282
((((x + 1) * x) - (if x <= 0 then 0 else 1)) * (2 + 1))
A211441: 0 3 15 33 57 87 123 165 213 267 327 393 465 543 627 717
((((x div 2) * x) + (if x <= 0 then 0 else 1)) mod (2 + 1))
A257510: 0 1 0 1 0 2 1 1 0 1 0 2 1 1 0 1
((loop(\(x,i).(x * 2),x,(x + 1)) + 1) div (2 + 1))
A100335: 0 1 4 11 27 64 149 341 768 1707 3755 8192 17749 38229 81920 174763
((if (x - 1) <= 0 then x else ((2 + 2) + 1)) * (2 + 1))
A181404: 0 3 15 15 15 15 15 15 15 15 15 15 15 15 15 15
((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * (2 + 1))
A040306: 18 36 36 36 36 36 36 36 36 36 36 36 36 36 36 36
loop(\(x,i).(x * x),1,(((x * 2) + 1) * (2 + 1)))
A016946: 9 81 225 441 729 1089 1521 2025 2601 3249 3969 4761 5625 6561 7569 8649
loop(\(x,i).(x * x),2,(((x * 2) + 1) * (2 + 1)))
A016948: 81 6561 50625 194481 531441 1185921 2313441 4100625 6765201 10556001 15752961 22667121 31640625 43046721 57289761 74805201
(((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1))
A229878: 0 0 1 0 1 2
A087509: 0 0 1 0 1 2 0 2 3 0 3 4 0 4 5 0
(if x <= 0 then 1 else ((((2 + 1) * x) - 1) * (2 + 1)))
A122709: 1 6 15 24 33 42 51 60 69 78 87 96 105 114 123 132
((x mod 2) - (loop(\(x,i).(x * 2),x,1) div (2 + 1)))
A083943: 0 1 ~1 ~1 ~5 ~9 ~21 ~41 ~85 ~169 ~341 ~681 ~1365 ~2729 ~5461 ~10921
(loop(\(x,i).((x * x) + (x mod 2)),x,1) * (2 + 1))
A085866: 3 6 12 48 768 196608 12884901888 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) + 1),2,(x + 1)) div (2 + 1))
A014820: 1 8 33 96 225 456 833 1408 2241 3400 4961 7008 9633 12936 17025 22016
(loop(\(x,i).(x * 2),(x + 2),(x + 1)) * (2 + 1))
A059162: 12 48 144 384 960 2304 5376 12288 27648 61440 135168 294912 638976 1376256 2949120 6291456
(loop(\(x,i).(x * 2),x,2) mod ((x + 1) * (2 + 1)))
A191561: 2 4 8 4 2 10 2 16 26 4 2 28 2 4 8 16
loop(\(x,i).((x * 2) - 1),x,((x + 1) * (2 + 1)))
A288038: 3 11 33 89 225 545 1281 2945 6657 14849 32769 71681 155649 335873 720897 1540097
loop(\(x,i).((x * 2) * 2),x,((x + 1) * (2 + 1)))
A212698: 3 24 144 768 3840 18432 86016 393216 1769472 7864320 34603008 150994944 654311424 2818572288 12079595520 51539607552
((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * (2 + 1))
A173068: 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6
(x - ((if x <= 0 then 1 else x) div ((0 - 2) * (2 + 1))))
A082463: 1 2 3 4 5 6 7 9 10
A332108-A020660: 1 2 3 4 5 6 7 9 10 11 12 13 14 16 17 18
((((x * x) - (if x <= 0 then 0 else 1)) div 2) div (2 + 1))
A337483: 0 0 0 1 2 4 5 8 10 13 16 20 23 28 32 37
(loop(\(x,i).((x + 2) * 2),(x + 1),2) * (2 + 1))
A182464: 24 60 132 276 564 1140 2292 4596 9204 18420 36852 73716 147444 294900 589812 1179636
((((2 + 2) * 2) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040552: 24 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040031: 6 6 12 6 12 6 12 6 12 6 12 6 12 6 12 6
((((x + 2) * x) + (if x <= 0 then 1 else 2)) * (2 + 1))
A290325: 3 15 30 51 78 111 150 195 246 303 366 435 510 591 678 771
(if (x - 1) <= 0 then (((x * 2) * 2) * 2) else (2 + 1))
A021016: 0 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3
loop(\(x,i).((x * 2) + 1),x,((2 + 2) * (2 + 1)))
A198274: 12 25 51 103 207 415 831 1663 3327 6655 13311 26623 53247 106495 212991 425983
loop(\(x,i).((x * 2) - 1),x,((2 + 2) * (2 + 1)))
A083683: 12 23 45 89 177 353 705 1409 2817 5633 11265 22529 45057 90113 180225 360449
((if x <= 0 then 1 else x) - ((x div (2 + 2)) * (2 + 1)))
A033924: 1 1 2 3 1 2 3 4 2 3 4 5 3 4 5 6
loop(\(x,i).(x * x),1,(((x * 2) * 2) * (2 + 1)))
A017522: 0 144 576 1296 2304 3600 5184 7056 9216 11664 14400 17424 20736 24336 28224 32400
loop(\(x,i).(x * x),2,(((x * 2) * 2) * (2 + 1)))
A017524: 0 20736 331776 1679616 5308416 12960000 26873856 49787136 84934656 136048896 207360000 303595776 429981696 592240896 796594176 1049760000
loop(\(x,i).((2 + 1) * x),((x * 2) * 2),(2 + 1))
A013778: 3 243 19683 1594323 129140163 10460353203 847288609443 68630377364883 5559060566555523 450283905890997363 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x + 2) * 2) + 1),x,2) * (2 + 1))
A305158: 6 27 69 153 321 657 1329 2673 5361 10737 21489 42993 86001 172017 344049 688113
(loop(\(x,i).(((x * 2) * 2) + 1),x,2) * (2 + 1))
A198694: 6 27 111 447 1791 7167 28671 114687 458751 1835007 7340031 29360127 117440511 469762047 1879048191 7516192767
(loop(\(x,i).(((x * x) * 2) - 1),x,2) * (2 + 1))
A213680: 6 21 291 56451 2124476931 3008934820234119171 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((x + 1) * x) div 2) * (2 + 1)))
A134479: 1 3 9 18 30 45 63 84 108 135 165 198 234 273 315 360
((loop(\(x,i).(i * x),(x - 1),x) * 2) * (2 + 1))
A298881: 0 6 12 36 144 720 4320 30240 241920 2177280 21772800 239500800 2874009600 37362124800 523069747200 7846046208000
(loop(\(x,i).(((x + 2) + 1) * 2),x,2) * (2 + 1))
A305163: 6 30 78 174 366 750 1518 3054 6126 12270 24558 49134 98286 196590 393198 786414
(x - ((1 - loop(\(x,i).(x * 2),x,2)) div (2 + 1)))
A081660: 1 2 5 8 15 26 49 92 179 350 693 1376 2743 5474 10937 21860
(2 - (((1 - (if x <= 0 then 2 else x)) div 2) div (2 + 1)))
A065801: 3 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5
(loop(\(x,i).((x - i) * x),2,(x + 2)) div (2 + 1))
A162668: 0 8 40 120 280 560 1008 1680 2640 3960 5720 8008 10920 14560 19040 24480
loop(\(x,i).((x * 2) * 2),x,((x + 2) * (2 + 1)))
A159721: 6 36 192 960 4608 21504 98304 442368 1966080 8650752 37748736 163577856 704643072 3019898880 12884901888 54760833024
(if (x - 2) <= 0 then (x div 2) else ((x - 2) * (2 + 1)))
A242088: 0 0 1 3 6 9 12
A296515: 0 0 1 3 6 9 12 15 18 21 24 27 30 33 36 39
loop(\(x,i).((1 - x) - (x * 2)),(x * 2),(2 + 1))
A199679: 3 25 223 2005 18043 162385 1461463 13153165 118378483 1065406345 9588657103 86297913925 776681225323 6990131027905 62911179251143 566200613260285
((if (x mod 2) <= 0 then (x div 2) else (x * 2)) * (2 + 1))
A174012: 0 6 3 18 6 30 9 42 12 54 15 66 18 78 21 90
loop(\(x,i).(x * x),(2 + 1),((x * 2) * (2 + 1)))
A016916: 0 1679616 429981696 11019960576 110075314176 656100000000 2821109907456 9682651996416 28179280429056 72301961339136 167961600000000 360040606269696 722204136308736 1370114370683136
loop(\(x,i).((x * x) * x),1,((x * 2) * (2 + 1)))
A016911: 0 216 1728 5832 13824 27000 46656 74088 110592 157464 216000 287496 373248 474552 592704 729000
loop(\(x,i).((x * x) * x),2,((x * 2) * (2 + 1)))
A016917: 0 10077696 5159780352 198359290368 2641807540224 19683000000000 101559956668416 406671383849472 1352605460594688 3904305912313344 10077696000000000 23762680013799936 51998697814228992
loop(\(x,i).(x * 2),x,(1 - ((x * 2) div (2 + 1))))
A171552: 1 2 0 ~8 ~16 ~64 ~192 ~384 ~1024 ~2560 ~5120 ~12288 ~28672 ~57344 ~131072 ~294912
(loop(\(x,i).((i + 1) * x),x,(x div 2)) div (2 + 1))
A259705: 0 0 2 8 80 480 5040 40320
(loop(\(x,i).((x + 1) * 2),x,(x mod 2)) div (2 + 1))
A084184: 0 1 2 7 10 31 42 127 170 511 682 2047 2730 8191 10922 32767
((loop(\(x,i).((x - 1) * 2),x,x) div 2) div (2 + 1))
A137221: 0 0 0 1 5 16 43 107 256 597 1365 3072 6827 15019 32768 70997
((loop(\(x,i).((x * 2) * 2),x,x) div 2) * (2 + 1))
A229504: 0 6 48 288 1536 7680 36864 172032 786432 3538944 15728640 69206016 301989888 1308622848 5637144576 24159191040
(x - ((1 - (if (2 - x) <= 0 then x else 2)) div (2 + 1)))
A187681: 1 2 3 4 5 7 8 9 11 12 13 15 16 17 19 20
loop(\(x,i).(((x * x) * (x + 1)) - 1),x,(2 + 1))
A231831: 3 35 44099 85762231424099 4611686018427387903
(((if ((x div 2) - 2) <= 0 then 2 else 1) + x) + (2 + 1))
A169869: 5 6 7 8 9 10 10 11 12 13 14
loop(\(x,i).(((x * 2) + 1) * (2 + 1)),x,(2 + 1))
A125682: 3 21 129 777 4665 27993 167961 1007769 6046617 36279705 217678233 1306069401 7836416409 47018498457 282110990745 1692665944473
loop(\(x,i).(x * x),2,(((2 + 1) * x) * (2 + 1)))
A017164: 0 6561 104976 531441 1679616 4100625 8503056 15752961 26873856 43046721 65610000 96059601 136048896 187388721 252047376 332150625
loop(\(x,i).((2 + 1) * x),((2 + 1) * x),(2 + 1))
A013732: 3 81 2187 59049 1594323 43046721 1162261467 31381059609 847288609443 22876792454961 617673396283947 16677181699666569 450283905890997363 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 1) <= 0 then x else (2 + 1)) + x) + (2 + 1))
A107820: 3 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21
(if x <= 0 then 1 else ((((x mod 2) + 1) * x) * (2 + 1)))
A298026: 1 6 6 18 12 30 18 42 24 54 30 66 36 78 42 90
loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,(2 + 1))
A199314: 3 14 69 344 1719 8594 42969 214844 1074219 5371094 26855469 134277344 671386719 3356933594 16784667969 83923339844
(((if (x mod (2 + 1)) <= 0 then x else 1) + x) div (2 + 1))
A186731: 0 0 1 2 1 2 4 2 3 6 3 4 8 4 5 10
loop(\(x,i).((((x * x) - 1) * x) + 1),x,(2 + 1))
A144788: 3 25 15601 3797146111201 4611686018427387903 4611686018427387903
(1 - (((if (x mod 2) <= 0 then x else 1) + x) mod (2 + 1)))
A134668: 1 ~1 0 0 ~1 1 1 ~1 0 0 ~1 1 1 ~1 0 0
(loop(\(x,i).((i * x) * 2),(x - 1),x) * (2 + 1))
A052676: 0 3 12 72 576 5760 69120 967680 15482880 278691840 5573836800 122624409600 2942985830400 76517631590400 2142493684531200 64274810535936000
(((x + 2) * 2) - ((if x <= 0 then 1 else x) mod (2 + 1)))
A283051: 3 5 6 10
loop(\(x,i).(((2 + 1) * x) - (i + 1)),x,(2 + 1))
A103177: 3 7 18 50 145 429 1280 3832 11487 34451 103342 310014 930029 2790073 8370204 25110596
(((if (x mod (2 + 2)) <= 0 then 1 else 2) + x) div (2 + 1))
A189667: 0 1 1 1 1 2 2 3 3 3 4 4 4 5 5 5
loop(\(x,i).((((x - 1) * x) - 1) * 2),x,(2 + 1))
A308657: 3 10 178
loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,(2 + 1))
A198766: 3 17 87 437 2187 10937 54687 273437 1367187 6835937 34179687 170898437 854492187 4272460937 21362304687 106811523437
((x * x) - (x - loop(\(x,i).(x * 2),x,(2 + 1))))
A307457: 3 6 14 30
A308580: 3 6 14 30 60 116 222 426 824 1608 3162 6254 12420 24732 49334 98514
loop(\(x,i).((2 + 1) * x),((x div 2) + x),(2 + 1))
A055156: 3 9 81 243 2187 6561 59049 177147 1594323 4782969 43046721 129140163 1162261467 3486784401 31381059609 94143178827
(if x <= 0 then 1 else (((2 - (x mod 2)) * x) * (2 + 1)))
A298028: 1 3 12 9 24 15 36 21 48 27 60 33 72 39 84 45
(if (x - 2) <= 0 then 1 else (((x mod 2) + x) div (2 + 1)))
A096605: 1 1 1 1 1 2 2 2 2 3 3 4 4 4 4 5
(((if x <= 0 then 1 else x) + (x * 2)) + (x div (2 + 1)))
A117549: 1 3 6 10 13 16
((if (x mod (2 + 1)) <= 0 then 0 else x) - (x div (2 + 1)))
A166711: 0 1 2 ~1 3 4 ~2 5 6 ~3 7 8 ~4 9 10 ~5
loop(\(x,i).((0 - x) * 2),x,(1 - (x mod (2 + 1))))
A120580: 1 0 ~4 ~8 0 32 64 0 ~256 ~512 0 2048 4096 0 ~16384 ~32768
((if x <= 0 then 0 else ((x * x) + 1)) + (x mod (2 + 1)))
A098001: 0 3 7 10 18
((if x <= 0 then 1 else ((2 + 1) * 2)) - (x mod (2 + 1)))
A328263: 1 5 4 6 5 4 6 5 4 6 5 4 6 5 4 6
(((if x <= 0 then 1 else x) * (x + 2)) + (x mod (2 + 1)))
A058201: 2 4 10 15 25
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 1))
A169634: 3 21 147 1029 7203 50421 352947 2470629 17294403 121060821 847425747 5931980229 41523861603 290667031221 2034669218547 14242684529829
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,(2 + 1))
A006268: 3 36 46764 102266868132036 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(2 + 1))
A001999: 3 18 5778 192900153618 4611686018427387903
loop(\(x,i).((x div ((i mod 2) + 1)) + x),x,(2 + 1))
A153339: 3 4 8 12 24 36 72 108 216 324 648 972 1944 2916 5832 8748
(2 - (if x <= 0 then 1 else (((1 - x) * x) * (2 + 1))))
A077588: 1 2 8 20 38 62 92 128 170 218 272 332 398 470 548 632
(loop(\(x,i).(((i mod 2) + x) * 2),x,x) div (2 + 1))
A127985: 0 1 4 11 28 67 156 355 796 1763 3868 8419 18204 39139 83740 178403
(if x <= 0 then 1 else ((((x div 2) + x) * x) * (2 + 1)))
A097989: 1 3 18 36
(loop(\(x,i).((x * 2) - (i mod 2)),x,x) div (2 + 1))
A140960: 0 0 2 6 18 46 114 270 626 1422 3186 7054 15474 33678 72818 156558
loop(\(x,i).(((x * x) * x) div 2),(x * x),(2 + 1))
A157323: 3 13 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) - i) * x),x,(2 + 1))
A036750: 3 15 60 180 360 360
loop(\(x,i).((((2 + 2) * 2) - i) * x),x,(2 + 1))
A036754: 3 21 126 630 2520 7560 15120 15120
(((loop(\(x,i).((i + x) * 2),x,0) - x) * 2) + 1)
A318165: 1 3 13
A320661: 1 3 13 39 97 219 469 975 1993 4035 8125 16311 32689 65451 130981 262047
(((loop(\(x,i).(x * 2),(x - 1),1) + x) * 2) - 1)
A081494: 1 3 7 13 23 41 75 141 271 529 1043 2069 4119 8217 16411 32797
loop(\(x,i).(i * x),((((2 + 2) + 1) * x) * 2),1)
A195394: 1 3628800 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,2) - 1)
A199031: 1 23 287 3455 41471 497663 5971967 71663615 859963391 10319560703 123834728447 1486016741375 17832200896511 213986410758143 2567836929097727 30814043149172735
loop(\(x,i).((2 + 1) * x),(((2 + 1) * x) + 2),1)
A013733: 9 243 6561 177147 4782969 129140163 3486784401 94143178827 2541865828329 68630377364883 1853020188851841 50031545098999707 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 2) * x),(2 + 1),x) div 2) + 1)
A191495: 1 128 3281 32768 195313 839808 2882401 8388608 21523361 50000000 107179441 214990848 407865361 737894528 1281445313 2147483648
(((if x <= 0 then 2 else ((x mod (2 + 1)) * x)) * 2) + 1)
A078302: 5 3 9 1
(loop(\(x,i).((((x div 2) + x) * 2) + 1),x,2) - 1)
A027107: 1 6 20 62 188 566 1700 5102 15308 45926 137780 413342 1240028 3720086 11160260 33480782
(loop(\(x,i).((((x div 2) + x) * 2) - 1),x,2) + 1)
A079003: 3 6 14 38 110 326 974 2918 8750 26246 78734 236198 708590 2125766 6377294 19131878
(loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,2) - 1)
A117617: 1 8 43 218 1093 5468 27343 136718 683593 3417968 17089843 85449218 427246093 2136230468 10681152343 53405761718
(loop(\(x,i).(x * 2),x,(((x + 1) * x) + 2)) - 1)
A055580: 1 7 31 111 351 1023 2815 7423 18943 47103 114687 274431 647167 1507327 3473407 7929855
loop(\(x,i).(x * x),1,((((x + 1) * x) div 2) + 1))
A086601: 1 4 16 49 121 256 484 841 1369 2116 3136 4489 6241 8464 11236 14641
loop(\(x,i).(x * 2),x,((((x + 1) * x) div 2) + 1))
A340257: 1 4 16 56 176 512 1408 3712 9472 23552 57344 137216 323584 753664 1736704 3964928
loop(\(x,i).((i * x) + 1),(((x - 1) * x) div 2),1)
A091479: 1 1 2 16 1957 9864101 3554627472076 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,((((x - 1) * x) div 2) + 1))
A052481: 1 2 8 32 112 352 1024 2816 7424 18944 47104 114688 274432 647168 1507328 3473408
loop(\(x,i).((2 + 1) * x),(((x - 1) * x) div 2),1)
A047656: 1 1 3 27 729 59049 14348907 10460353203 22876792454961 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),(x - 1),x) * 2) + 1)
A318165: 1 3 13
A140320: 1 3 13 55 217 811 2917 10207 34993 118099 393661 1299079 4251529 13817467 44641045 143489071
(((((x mod 2) * 2) + (if x <= 0 then 1 else x)) * 2) - 1)
A086970: 1 5 3 9 7 13 11 17 15 21 19 25 23 29 27 33
(((if (x - 2) <= 0 then ((x * x) + 1) else x) * 2) - 1)
A285264: 1 3 9 5 7
(loop(\(x,i).(((2 + 1) * x) - (i + 1)),x,2) + 1)
A243513: 3 5 10 24 65 187 552 1646 4927 14769 44294 132868 398589 1195751 3587236 10761690
(loop(\(x,i).((((x - i) * 2) + 1) * 2),x,2) + 1)
A160128: 3 7 19 63 235 919 3651 14575 58267 233031 932083 3728287 14913099 59652343 238609315 954437199
(loop(\(x,i).((((x * 2) - 1) * 2) * 2),x,2) - 1)
A245599: 1 11 91 731 5851 46811 374491 2995931 23967451 191739611 1533916891 12271335131 98170681051 785365448411 6282923587291 50263388698331
(loop(\(x,i).(((x * x) * (2 + 2)) * 2),x,2) - 1)
A119598: 1 31 8191
((x mod ((if ((x div 2) mod 2) <= 0 then 2 else x) div 2)) + 1)
A318749-A102097-A050330: 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2
(loop(\(x,i).((i + x) - (x div (2 + 2))),x,2) - 1)
A231408: 1 2 4 6 9
A083652: 1 2 4 6 9 12 15 18 22 26 30 34 38 42 46 50
((x * x) mod ((if (x mod (2 + 2)) <= 0 then x else 2) + 1))
A194683: 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0
(((((if (x mod 2) <= 0 then x else 2) + 2) * x) * 2) + 1)
A271186: 1 9 17 25 49
((loop(\(x,i).(x * 2),((x + 2) + 2),x) * 2) + 1)
A115342: 1 65 257 769 2049 5121 12289 28673 65537 147457 327681 720897 1572865 3407873 7340033 15728641
(loop(\(x,i).((x * 2) - ((x div 2) mod 2)),x,2) - 1)
A033138: 1 2 4 9 18 36 73 146 292 585 1170 2340 4681 9362 18724 37449
(loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,2) - 1)
A112346: 1 2 5 8 17 26 53 80 161 242 485 728 1457 2186 4373 6560
(loop(\(x,i).((x * 2) - ((i div 2) mod 2)),x,2) - 1)
A077854: 1 3 6 12 25 51 102 204 409 819 1638 3276 6553 13107 26214 52428
(loop(\(x,i).(x - (x div ((i mod 2) - 2))),x,2) - 1)
A060647: 1 3 5 11 17 35 53 107 161 323 485 971 1457 2915 4373 8747
(((x div (2 + 2)) + 2) * (if (2 - x) <= 0 then 2 else 1))
A080606: 2 2 4 4 6 6 6 6 8 8 8 8 10 10 10 10
((((x + 2) + 2) * x) + (if (2 - x) <= 0 then 2 else 1))
A005281: 1 6 14 23 34
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) + 1)
A199682: 3 21 201 2001 20001 200001 2000001 20000001 200000001 2000000001 20000000001 200000000001 2000000000001 20000000000001 200000000000001 2000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1)
A067272: 1 19 199 1999 19999 199999 1999999 19999999 199999999 1999999999 19999999999 199999999999 1999999999999 19999999999999 199999999999999 1999999999999999
(loop(\(x,i).((((x * 2) - 1) * x) + 2),x,2) - 1)
A074487: 1 7 121 29647 1757978161 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * x) + 1) * x) div 2),x,2) + 1)
A296374: 3 6 66 137346 1295413937737986 4611686018427387903
(loop(\(x,i).((((x div 2) + 2) * x) div 2),x,2) - 1)
A006892: 1 2 3 7 23 167 7223 13053767 42600227803223 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * x),2,(x + 2)) - x) div 2) - 1)
A027482: 7 39 126 310 645 1197 2044 3276 4995 7315 10362 14274 19201 25305 32760 41752
loop(\(x,i).(x * x),1,((((x + 2) * x) div 2) + 1))
A212893: 1 4 25 64 169 324 625 1024 1681 2500 3721 5184 7225 9604 12769 16384
loop(\(x,i).(i * x),x,((((x mod 2) * x) div 2) + 1))
A211374: 1 1 2 12 24 360 720 20160 40320 1814400 3628800 239500800 479001600 43589145600 87178291200 10461394944000
loop(\(x,i).((2 + 1) * x),(((x mod 2) * x) div 2),1)
A130599: 1 1 1 3 1 9 1 27 1 81 1 243 1 729 1 2187
loop(\(x,i).(x * 2),(x - (((x mod 2) * x) div 2)),1)
A079102: 1 2 4 4 16 8 64 16 256 32 1024 64 4096 128 16384 256
(1 - ((2 - x) div (((if x <= 0 then 2 else x) div 2) + 1)))
A345379: 0 0 1 2 2 2 2 3 3 3 3 3 3 3 3 3
(2 - ((2 - x) div (((if x <= 0 then 2 else x) div 2) + 1)))
A297212-A090529: 1 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4
(loop(\(x,i).((((i + 1) * i) + x) * 2),x,2) - 1)
A027180: 1 7 27 79 199 459 1003 2119 4383 8947 18115 36495 73303 146971 294363 589207
(loop(\(x,i).((((i + x) * 2) + i) + 2),x,2) - 1)
A169831: 1 8 25 62 139 296 613 1250 2527 5084 10201 20438 40915 81872 163789 327626
(loop(\(x,i).(((x - i) * 2) * (i * 2)),x,2) + 1)
A056826: 3 5 17 157
(loop(\(x,i).(((x + 2) * 2) - (i mod 2)),x,2) - 1)
A085278: 1 6 17 38 81 166 337 678 1361 2726 5457 10918 21841 43686 87377 174758
(((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)) + 1)
A181569: 1 1 2 1 6 1 8 9 10 1 12 1 14 15 16 1
loop(\(x,i).((((i * i) div 2) + x) - 1),(x + 2),1)
A213759: 1 4 11 22 39 62 93 132 181 240 311 394 491 602 729 872
(if (2 - x) <= 0 then (((x * x) + 1) div (x + 2)) else 1)
A034138: 1 1 1 2 2 3 4 5 6 7 8 9 10 11 12 13
loop(\(x,i).(i * x),(((x + 2) + 2) * (x + 2)),1)
A072269: 40320 1307674368000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div (2 + 2)) + x),2,(x + 2)) + 1)
A296352: 3 4 7 8 9 11 13 14 16 17 19 21 22 23 26 27
loop(\(x,i).((i + x) * 2),(x + 1),((x + 2) + 1))
A060602: 8 24 62 148 338 752 1646 3564 7658 16360
(((if x <= 0 then 1 else x) * (2 + 2)) div ((x + 2) + 1))
A126235-A111651-A081604: 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3
loop(\(x,i).((i + 1) * x),(2 + 2),((x + 2) + 1))
A069478: 360 480 600 720 840 960 1080 1200 1320 1440 1560 1680 1800 1920 2040 2160
(loop(\(x,i).((i + x) + 2),x,2) * ((x + 2) + 1))
A005564: 6 20 45 84 140 216 315 440 594 780 1001 1260 1560 1904 2295 2736
(if ((x div (2 + 1)) - 2) <= 0 then x else ((x + 2) + 1))
A119797: 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18
(if (((x div 2) - 2) - 2) <= 0 then x else ((x + 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A094823: 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18
((if (x - ((2 + 1) * 2)) <= 0 then x else (x + 2)) + 1)
A031981: 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18
((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + 1)
A344543-A277046-A239216-A239089-A190218-A102234-A032881-A032848: 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18
(if x <= 0 then 2 else ((((x mod 2) + x) * (x + 2)) - 1))
A341322: 2 5 7 19
(loop(\(x,i).((x * 2) - (i mod 2)),x,(x + 2)) - 1)
A127981: 1 4 13 34 85 202 469 1066 2389 5290 11605 25258 54613 117418 251221 535210
loop(\(x,i).((x - (x div (0 - 2))) * x),(x - 2),1)
A327425: 1 1 1 2 6 54
loop(\(x,i).(1 - ((x + 2) * (2 + 1))),(x * 2),1)
A211866: 1 19 181 1639 14761 132859 1195741 10761679 96855121 871696099 7845264901 70607384119 635466457081 5719198113739 51472783023661 463255047212959
((loop(\(x,i).((x * 2) * 2),x,1) - (x * 2)) + 1)
A100102: 2 3 13 59 249 1015 4085 16371 65521 262127 1048557 4194283 16777193 67108839 268435429 1073741795
loop(\(x,i).(((x * x) * x) * (x + 1)),(x * 2),1)
A255403: 1 24 4611686018427387903
loop(\(x,i).(((i + 1) * i) + (x + 1)),(x * 2),1)
A057813: 1 11 45 119 249 451 741 1135 1649 2299 3101 4071 5225 6579 8149 9951
loop(\(x,i).(((i - x) * 2) - (x - 1)),(x * 2),1)
A325153: 1 5 33 277 2465 22149 199297 1793621 16142529 145282693 1307544161 11767897365 105911076193 953199685637 8578797170625 77209174535509
(loop(\(x,i).((x - i) * (x + 1)),2,(x * 2)) + 1)
A144139: 1 5 209 1189 3905 9701 20305 37829 64769 104005 158801 232805 330049 454949 612305 807301
loop(\(x,i).(x - (((x * 2) * 2) * 2)),(x * 2),1)
A087752: 1 49 2401 117649 5764801 282475249 13841287201 678223072849 33232930569601 1628413597910449 79792266297612001 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - ((x div 2) mod 2)),(x * 2),1)
A188545: 1 3 10
A046632: 1 3 10 37 147 586 2341 9363 37450 149797 599187 2396746 9586981 38347923 153391690 613566757
loop(\(x,i).((x - ((i * x) * 2)) * 2),(x * 2),1)
A009120: 1 12 1680 665280 518918400 670442572800 1295295050649600 3497296636753920000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * 2),1)
A098608: 1 100 10000 1000000 100000000 10000000000 1000000000000 100000000000000 10000000000000000 1000000000000000000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * i) * 2) + x) + 2),(x * 2),1)
A085474: 1 15 69 195 425 791 1325 2059 3025 4255 5781 7635 9849 12455 15485 18971
loop(\(x,i).((x * 2) * 2),((x div 2) + (x * 2)),1)
A067490: 1 16 1024 16384 1048576 16777216 1073741824 17179869184 1099511627776 17592186044416 1125899906842624 18014398509481984 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * i) + x),x,0) * ((x * 2) + 1))
A180324: 0 3 25 98 270 605 1183 2100 3468 5415 8085 11638 16250 22113 29435 38440
((loop(\(x,i).(x * 2),x,2) - 1) * ((x * 2) + 1))
A118414: 1 9 35 105 279 693 1651 3825 8687 19437 42987 94185 204775 442341 950243 2031585
loop(\(x,i).(x * 2),((x * 2) - 1),((x * 2) + 1))
A229580: 1 6 40 224 1152 5632 26624 122880 557056 2490368 11010048 48234496 209715200 905969664 3892314112 16642998272
(loop(\(x,i).((x * x) * 2),x,1) * ((x * 2) + 1))
A001367: 1 6 40 896 294912 23622320128 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 0 else 2) * (x + 1)) * ((x * 2) + 1))
A280344: 0 12 30 56 90 132 182 240 306 380 462 552 650 756 870 992
loop(\(x,i).((i + 2) * x),(x + 1),((x * 2) + 1))
A034860: 3 36 300 2520 22680 221760 2358720 27216000 339292800 4550515200 65383718400 1002550348800 16345929600000 282457663488000 5157467707392000 99236792438784000
loop(\(x,i).(x * 2),((x + 1) div 2),((x * 2) + 1))
A097578: 1 6 10 28 36 88 104 240 272 608 672 1472 1600 3456 3712 7936
loop(\(x,i).((i + 2) * x),(2 + 2),((x * 2) + 1))
A140801: 360 1080 1800 2520 3240 3960 4680 5400 6120 6840 7560 8280 9000 9720 10440 11160
(loop(\(x,i).((x * 2) * 2),x,2) * ((x * 2) + 1))
A288443: 2 24 160 896 4608 22528 106496 491520 2228224 9961472 44040192 192937984 838860800 3623878656 15569256448 66571993088
(loop(\(x,i).((x * 2) * 2),x,2) mod ((x * 2) + 1))
A179976: 0 2 2 2 8 2 2 8 2 2 8 2 7 26 2 2
(loop(\(x,i).((i + x) + 2),x,2) * ((x * 2) + 1))
A162256: 2 15 45 98 180 297 455 660 918 1235 1617 2070 2600 3213 3915 4712
loop(\(x,i).((i + 2) * x),(x - 2),((x * 2) + 1))
A084253: 1 3 5 21 108 660 4680 37800 342720 3447360 38102400 459043200 5987520000 84064780800 1264085222400 20268952704000
loop(\(x,i).((x * 2) * 2),(x * 2),((x * 2) + 1))
A165283: 1 48 1280 28672 589824 11534336 218103808 4026531840 73014444032 1305670057984 23089744183296 404620279021568 7036874417766400 121597189939003392 2089670227099910144 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x * 2),((x * 2) + 1))
A155988: 1 27 405 5103 59049 649539 6908733 71744535 731794257 7360989291 73222472421 721764371007 7060738412025 68630377364883 663426981193869 6382625094934119
loop(\(x,i).((i + 1) * x),(x * 2),((x * 2) + 1))
A061079: 1 18 600 35280 3265920 439084800 80951270400 19615115520000 6046686277632000 2311256907767808000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * 2) + x) * x),2,((x * 2) + 1))
A176711: 21 285 1365 4221 10197 21021 38805 66045 105621 160797 235221 332925 458325 616221 811797 1050621
loop(\(x,i).((x * 2) * (2 + 1)),x,((x * 2) + 1))
A199299: 1 18 180 1512 11664 85536 606528 4199040 28553472 191476224 1269789696 8344332288 54419558400 352638738432 2272560758784 14575734521856
((loop(\(x,i).(x * 2),x,1) + x) + ((x * 2) + 1))
A194455: 2 6 11 18 29 48 83 150 281 540 1055 2082 4133 8232 16427 32814
loop(\(x,i).(((x * 2) * 2) * 2),x,((x * 2) + 1))
A199301: 1 24 320 3584 36864 360448 3407872 31457280 285212672 2550136832 22548578304 197568495616 1717986918400 14843406974976 127543348822016 1090715534753792
loop(\(x,i).((i * x) * (2 + 2)),x,((x * 2) + 1))
A167558: 1 12 160 2688 55296 1351680 38338560 1238630400 44920995840 1807409479680 79906524364800 3850733459865600 200907832688640000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - (i mod 2)) * 2),x,((x * 2) + 1))
A174836: 1 4 16 46 124 310 748 1750 4012 9046 20140 44374 96940 210262 453292 972118
loop(\(x,i).(((2 + 2) + 1) * x),x,((x * 2) + 1))
A171220: 1 15 125 875 5625 34375 203125 1171875 6640625 37109375 205078125 1123046875 6103515625 32958984375 177001953125 946044921875
(((if x <= 0 then 0 else 2) * (x + 1)) * ((x * 2) - 1))
A187297: 0 4 18 40 70 108 154 208 270 340 418 504 598 700 810 928
(loop(\(x,i).(x * 2),(x - 1),x) * ((x * 2) - 1))
A086950: 0 1 12 60 224 720 2112 5824 15360 39168 97280 236544 565248 1331200 3096576 7127040
((loop(\(x,i).(x * 2),x,2) + x) + ((x * 2) - 1))
A131833: 1 6 13 24 43 78 145 276 535 1050 2077 4128 8227 16422 32809 65580
loop(\(x,i).(((i * 2) - 1) * x),x,((x * 2) - 1))
A126965: ~1 1 9 75 735 8505 114345 1756755 30405375 585810225 12439852425 288735522075 7273385294175 197646339515625 5763367260275625 179518217255251875
loop(\(x,i).(((i div 2) + (i + 1)) * x),(x * 2),1)
A079929: 1 8 280 22400 3203200 717516800 231757926400 101973487616000 58634755379200000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i mod 2) + (i - 1)) * x),(x * 2),1)
A001818: 1 1 9 225 11025 893025 108056025 18261468225 4108830350625 1187451971330625 428670161650355625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - (i div (0 - 2))) * x),(x * 2),1)
A176730: 1 6 180 12960 1710720 359251200 109930867200 46170964224000 25486372251648000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i div 2) + (x * 2)),x,(x * 2)) + 1)
A127983: 1 5 18 52 137 339 808 1874 4263 9553 21158 46416 101029 218447 469668 1004878
loop(\(x,i).((i - ((2 - i) div 2)) * x),(x * 2),1)
A060079: 1 2 40 2240 246400 44844800 12197785600 4635158528000 2345390215168000
A052502: 1 2 40 2240 246400 44844800 12197785600 4635158528000 2345390215168000 1524503639859200000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - ((i * i) * 2)) * x),(x * 2),1)
A067630: 1 6 2520 7484400 81729648000 2375880867360000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * x),(x * x),(x * 2)) + 1)
A058474: 1 9 4611686018427387903
(if x <= 0 then 2 else ((((x * x) * x) * (x * 2)) + 1))
A066269: 2 3 33
loop(\(x,i).((((i mod 2) + 1) * i) * x),(x * 2),1)
A065140: 1 4 96 5760 645120 116121600 30656102400 11158821273600 5356234211328000 3278015337332736000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + x) * 2) + i),x,(x * 2)) + 1)
A131438: 1 8 29 82 207 492 1129 2534 5603 12256 26589 57306 122839 262100 557009 1179598
((if (x mod 2) <= 0 then ((x + 1) * 2) else (x div 2)) + 1)
A235800: 3 1 7 2 11 3 15 4 19 5 23 6 27 7 31 8
(if ((x - 2) mod ((2 + 2) * 2)) <= 0 then (x div 2) else 1)
A344757-A319099: 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x div 2),1)
A286507: 1 1 10 10 100 100 1000 1000 10000 10000 100000 100000 1000000 1000000 10000000 10000000
(loop(\(x,i).(i * x),x,(x + 1)) div ((x div 2) + 1))
A256881: 1 2 3 12 40 240 1260 10080 72576 725760 6652800 79833600 889574400 12454041600 163459296000 2615348736000
((((if x <= 0 then 1 else x) + 1) div 2) * ((x div 2) + 1))
A076921: 1 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64
loop(\(x,i).(x * 2),((x + 1) div 2),((x div 2) + 1))
A222011: 1 2 4 8
A171647: 1 2 4 8 12 24 32 64 80 160 192 384 448 896 1024 2048
(loop(\(x,i).(i * x),x,(x div 2)) * ((x div 2) + 1))
A077611: 0 0 4 12 144 720 8640 60480 806400 7257600 108864000 1197504000 20118067200 261534873600 4881984307200 73229764608000
loop(\(x,i).((x * x) * x),(x mod 2),((x div 2) + 1))
A126951: 1 1 2 8 3 27 4 64 5 125 6 216 7 343 8 512
(((if (x mod 2) <= 0 then x else 1) + x) + ((x div 2) + 1))
A113497: 1 3 6 6 11 9 16 12 21 15 26 18 31 21 36 24
(((if (x mod 2) <= 0 then 1 else x) * x) div ((x div 2) + 1))
A019425: 0 1 1 4 1 8 1 12 1 16 1 20 1 24 1 28
loop(\(x,i).(((i + 2) * i) + x),x,((x div 2) + 1))
A087035: 1 4 13 28 53 88 137 200 281 380 501 644 813 1008 1233 1488
(((if (2 - x) <= 0 then x else 2) + x) + ((x div 2) - 1))
A231408: 1 2 4 6 9
A265286: 1 2 4 6 9 11 14 16 19
loop(\(x,i).(((x mod (2 + 2)) * i) + x),(x div 2),1)
A051548: 1 1 2 2 6 6 12 12 12 12 12 12 12 12 12 12
(if ((x - 1) mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 1)
A249351-A071035: 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1
(if (2 - (x mod ((2 + 2) + 1))) <= 0 then (x mod 2) else 1)
A039982: 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1
(if (x - ((2 + 2) * (2 + 1))) <= 0 then (x mod 2) else 1)
A327532-A327515: 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1
(if ((x div (2 + 2)) mod (2 + 1)) <= 0 then (x mod 2) else 1)
A072608: 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1
(((if (x - (2 + 1)) <= 0 then x else 1) - (x mod 2)) + 1)
A186144: 1 1 3 3 2 1 2 1 2 1 2 1 2
((loop(\(x,i).((2 + 1) * x),x,1) - (x mod 2)) + 1)
A052929: 2 3 10 27 82 243 730 2187 6562 19683 59050 177147 531442 1594323 4782970 14348907
((2 - (if (x mod (2 + 1)) <= 0 then 2 else (x mod 2))) + 1)
A135511: 1 2 3 1 3 2 1 2 3 1 3 2 1 2 3 1
(if (x mod ((x div (2 + 2)) + 2)) <= 0 then (x mod 2) else 1)
A316829: 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1
((loop(\(x,i).(x * 2),(x div 2),2) + (x mod 2)) - 1)
A097110: 1 2 3 4 7 8 15 16 31 32 63 64 127 128 255 256
(loop(\(x,i).(x * 2),(x div 2),(2 - (x mod 2))) - 1)
A316742: 1 0 3 1 7 3 15 7 31 15 63 31 127 63 255 127
loop(\(x,i).(x * 2),(x div 2),((2 - (x mod 2)) + 1))
A162255: 3 2 6 4 12 8 24 16 48 32 96 64 192 128 384 256
loop(\(x,i).((x + 1) * 2),x,((2 - (x mod 2)) + 1))
A117863: 3 6 18 30 78 126 318 510 1278 2046 5118 8190 20478 32766 81918 131070
(if (x - 2) <= 0 then x else (((x * 2) - (x mod 2)) + 1))
A121248: 0 1 2 6 9 10
((if (x - 1) <= 0 then x else (x + 1)) * ((x mod 2) + 1))
A296070: 0 2 3 8 5 12 7 16 9 20 11 24 13 28 15 32
loop(\(x,i).((i + 2) * x),(x + 1),((x mod 2) + 1))
A070734: 3 24 60 720 2520 40320 181440 3628800 19958400 479001600 3113510400 87178291200 653837184000 20922789888000 177843714048000 6402373705728000
loop(\(x,i).(x * 2),((x + 1) div 2),((x mod 2) + 1))
A143095: 1 4 2 8 4 16 8 32 16 64 32 128 64 256 128 512
loop(\(x,i).((x + 1) * 2),(x div 2),((x mod 2) + 1))
A027383: 1 2 4 6 10 14 22 30 46 62 94 126 190 254 382 510
loop(\(x,i).((x + 2) * 2),(x div 2),((x mod 2) + 1))
A238549: 1 2 6 8 16 20 36 44 76 92 156 188 316 380 636 764
(loop(\(x,i).(i * x),(x - 1),x) * ((x mod 2) + 1))
A052612: 0 2 2 12 24 240 720 10080 40320 725760 3628800 79833600 479001600 12454041600 87178291200 2615348736000
(if ((2 - ((x div 2) - 2)) * x) <= 0 then (x mod 2) else 1)
A079421: 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1
(((((x + 2) * 2) * 2) + x) - (if x <= 0 then 2 else 1))
A248149: 6 12 17 22 27 32 37 42 47 52 57 62 67 72 77 82
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) + 1)
A199416: 3 15 99 687 4803 33615 235299 1647087 11529603 80707215 564950499 3954653487 27682574403 193778020815 1356446145699 9495123019887
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) - 1)
A198480: 1 13 97 685 4801 33613 235297 1647085 11529601 80707213 564950497 3954653485 27682574401 193778020813 1356446145697 9495123019885
(((((if (x - 2) <= 0 then 2 else 1) + x) * x) div 2) + 1)
A013660: 1 2 5 7 11
A342939: 1 2 5 7 11 16 22 29 37 46 56 67 79 92 106 121
((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1)
A336936-A336935-A336934-A336460-A336392-A336162-A108712-A003602: 1 1 2 1 3 2 4 1 5 3 6 2 7 4 8 1
(loop(\(x,i).(((x * x) div (i + 1)) + x),x,2) + 1)
A003186: 3 5 10 30 198
((loop(\(x,i).(((x + 2) + 2) * 2),x,x) div 2) + 1)
A047861: 1 6 17 41 93 205 445 957 2045 4349 9213 19453 40957 86013 180221 376829
(loop(\(x,i).((((x div 2) + x) + 2) * x),x,2) + 1)
A006485: 3 11 171 43691 2863311531 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) + 1)
A076877: 3 5 5 9 9 9 9 17 17 17 17 17 17 17 17 33
((if ((x div 2) - 2) <= 0 then x else ((x * x) + 2)) + 1)
A173575: 1 2 3 4 5 6 39
((loop(\(x,i).(x * 2),x,1) + ((x * x) * 2)) + 1)
A322593: 2 5 13 27 49 83 137 227 385 675 1225 2291 4385 8531 16777 33219
((loop(\(x,i).(x * 2),x,x) + ((x * x) * 2)) + 1)
A046916: 1 5 17 43 97 211 457 995 2177 4771 10441 22771 49441 106835 229769 491971
((loop(\(x,i).(((i * i) * 2) + x),x,x) * 2) + 1)
A001845: 1 7 25 63 129 231 377 575 833 1159 1561 2047 2625 3303 4089 4991
(loop(\(x,i).((((x + 2) + 2) * 2) + i),x,2) - 1)
A058968: 1 12 35 82 177 368 751 1518 3053 6124 12267 24554 49129 98280 196583 393190
(loop(\(x,i).((((i * 2) + x) * 2) + i),x,2) + 1)
A114958: 3 10 29 72 163 350 729 1492 3023 6090 12229 24512 49083 98230 196529 393132
((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x) + 1)
A328131-A068636-A004719-A004151: 1 2 3 4 5 6 7 8 9 1 11 12 13 14 15 16
((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else x) + 1)
A180409: 1 2 3 4 5 6 7 8 9 10 1 12 13 14 15 16
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else x) + 1)
A008835: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
(((if (x mod ((2 + 2) * 2)) <= 0 then x else 0) + x) + 1)
A269358-A269356: 1 2 3 4 5 6 7 8 17 10 11 12 13 14 15 16
loop(\(x,i).((x mod ((i div (2 + 1)) + 1)) + 1),x,1)
A256553-A212721: 1 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5
loop(\(x,i).((((x * 2) * 2) * (2 + 1)) + 1),x,1)
A016125: 1 13 157 1885 22621 271453 3257437 39089245 469070941 5628851293 67546215517 810554586205 9726655034461 116719860413533 1400638324962397 16807659899548765
loop(\(x,i).((((i * x) * 2) * (2 + 1)) + 1),x,1)
A056547: 1 7 85 1531 36745 1102351 39684637 1666754755 80004228241 4320228325015 259213699500901 17108104167059467 1231783500028281625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - (i mod 2)) * (2 + 1)) + 1),x,1)
A006342: 1 1 4 10 31 91 274 820 2461 7381 22144 66430 199291 597871 1793614 5380840
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) - 1),x,1)
A187709: 1 8 71 638 5741 51668 465011 4185098 37665881 338992928 3050936351 27458427158 247125844421 2224132599788 20017193398091 180154740582818
loop(\(x,i).((((x + 1) * x) * (2 + 1)) + 1),x,1)
A172027: 1 7 169 86191 22286924017 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 1) * x) * (2 + 1)) + 1),x,1)
A173516: 1 7 64 769 11536 207649 4360630 104655121 2825688268 84770648041 2797431385354 100707529872745 3927593665037056 164958933931556353 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) + x) * (2 + 1)) + 1),x,1)
A085287: 1 7 22 70 211 637 1912 5740 17221 51667 155002 465010 1395031 4185097 12555292 37665880
loop(\(x,i).((((i * i) * x) * (2 + 1)) + 1),x,1)
A336805: 1 4 49 1324 63553 4766476 514779409 75672573124 14529134039809 3530579571673588 1059173871502076401 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 2) + 2) mod (i + 1)) + 1),x,1)
A181281: 1 2 1 2 2 1 6 3 8 3 8 1 6 11 1 6
loop(\(x,i).(x - (x div ((i mod (0 - 2)) - 1))),x,1)
A068911: 1 2 4 6 12 18 36 54 108 162 324 486 972 1458 2916 4374
loop(\(x,i).(i * x),((((2 + 1) * 2) + 1) * x),1)
A195391: 1 5040 87178291200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((((x + 1) * 2) + 1) * x),1)
A121913: 1 32 16384 134217728 17592186044416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) * (i + 1)) div 2) + 1),x,1)
A228230: 1 2 7 43 431 6466 135787 3802037 136873333 6159299986 338761499231 22358258949247 1743944198041267 158698922021755298 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) + 1),x,1)
A131865: 1 17 273 4369 69905 1118481 17895697 286331153 4581298449 73300775185 1172812402961 18764998447377 300239975158033 4803839602528529 76861433640456465 1229782938247303441
((if ((x - 1) mod ((2 + 2) * 2)) <= 0 then 1 else x) + 1)
A318492: 1 2 3 4 5 6 7 8 9 2 11 12 13 14 15 16
loop(\(x,i).(x - ((((x * 2) * 2) * 2) - 1)),x,1)
A014989: 1 ~6 43 ~300 2101 ~14706 102943 ~720600 5044201 ~35309406 247165843 ~1730160900 12111126301 ~84777884106 593445188743 ~4154116321200
(((x div (if ((x div 2) - 2) <= 0 then 2 else 1)) + x) + 1)
A232832: 1 2 4 5 7 8 13 15
loop(\(x,i).(((((i * x) div 2) * 2) * 2) + 1),x,1)
A000354: 1 1 5 29 233 2329 27949 391285 6260561 112690097 2253801941 49583642701 1190007424825 30940193045449 866325405272573 25989762158177189
loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),x,1)
A099915: 1 15 155 1555 15555 155555 1555555 15555555 155555555 1555555555 15555555555 155555555555 1555555555555 15555555555555 155555555555555 1555555555555555
loop(\(x,i).(((x * 2) - 1) * ((2 + 2) + 1)),x,1)
A093140: 1 5 45 445 4445 44445 444445 4444445 44444445 444444445 4444444445 44444444445 444444444445 4444444444445 44444444444445 444444444444445
(1 div (if ((x - 1) mod ((2 + 2) + 1)) <= 0 then x else 1))
A336676: 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1
(1 mod (if ((x - 1) mod ((2 + 2) + 1)) <= 0 then x else 1))
A085862: 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),x,1)
A009964: 1 20 400 8000 160000 3200000 64000000 1280000000 25600000000 512000000000 10240000000000 204800000000000 4096000000000000 81920000000000000 1638400000000000000 4611686018427387903
loop(\(x,i).(((2 - x) * 2) * ((2 + 2) + 1)),x,1)
A165750: 1 10 ~80 820 ~8180 81820 ~818180 8181820 ~81818180 818181820 ~8181818180 81818181820 ~818181818180 8181818181820 ~81818181818180 818181818181820
loop(\(x,i).(((i * x) * 2) * ((2 + 2) + 1)),x,1)
A051262: 1 10 200 6000 240000 12000000 720000000 50400000000 4032000000000 362880000000000 36288000000000000 3991680000000000000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((((2 + 2) + 1) * x) + 1))
A016862: 1 36 121 256 441 676 961 1296 1681 2116 2601 3136 3721 4356 5041 5776
loop(\(x,i).(x * x),2,((((2 + 2) + 1) * x) + 1))
A016864: 1 1296 14641 65536 194481 456976 923521 1679616 2825761 4477456 6765201 9834496 13845841 18974736 25411681 33362176
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),x,1)
A001024: 1 15 225 3375 50625 759375 11390625 170859375 2562890625 38443359375 576650390625 8649755859375 129746337890625 1946195068359375 29192926025390625 437893890380859375
loop(\(x,i).(((i + 1) * x) * ((2 + 2) + 1)),x,1)
A034325: 1 10 150 3000 75000 2250000 78750000 3150000000 141750000000 7087500000000 389812500000000 23388750000000000 1520268750000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) * ((2 + 2) + 1)),x,1)
A051691: 1 15 300 7500 225000 7875000 315000000 14175000000 708750000000 38981250000000 2338875000000000 152026875000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) - (x div ((2 + 2) + 1))),x,1)
A130243: 1 2 4 7 10 13 17 21 25 29 34 39 44 49 54 59
loop(\(x,i).((((i * i) * x) * (2 + 2)) + 1),x,1)
A336807: 1 5 81 2917 186689 18668901 2688321745 526911062021 134889231877377 43704111128270149 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) + (x * 2)) * 2) + 1),x,1)
A037576: 1 7 29 119 477 1911 7645 30583 122333 489335 1957341 7829367 31317469 125269879 501079517 2004318071
loop(\(x,i).((((i mod 2) + (x * 2)) * 2) - 1),x,1)
A108981: 1 5 19 77 307 1229 4915 19661 78643 314573 1258291 5033165 20132659 80530637 322122547 1288490189
loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,1)
A260216-A260115-A260091-A257953-A000166: 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734
loop(\(x,i).(((x - ((i - x) * 2)) * 2) + 1),x,1)
A094259: 1 3 11 55 315 1871 11203 67191 403115 2418655 14511891 87071303 522427771 3134566575 18807399395 112844396311
loop(\(x,i).((x mod ((2 + 2) + 1)) * (2 + 1)),x,1)
A168400: 1 3 9 12 6 3 9 12 6 3 9 12 6 3 9 12
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),x,1)
A001027: 1 18 324 5832 104976 1889568 34012224 612220032 11019960576 198359290368 3570467226624 64268410079232 1156831381426176 20822964865671168 374813367582081024 4611686018427387903
loop(\(x,i).(((2 - x) * (2 + 1)) * (2 + 1)),x,1)
A165749: 1 9 ~63 585 ~5247 47241 ~425151 3826377 ~34437375 309936393 ~2789427519 25104847689 ~225943629183 2033492662665 ~18301433963967 164712905675721
loop(\(x,i).(((i * x) * (2 + 1)) * (2 + 1)),x,1)
A051232: 1 9 162 4374 157464 7085880 382637520 24106163760 1735643790720 140587147048320 12652843234348800 1252631480200531200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (i + 1)) * (2 + 1)),x,1)
A034788: 1 12 216 5184 155520 5598720 235146240 11287019520 609499054080 36569943244800 2413616254156800 173780370299289600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - ((i + 1) div (2 + 1))),x,1)
A136169: 1 2 3 5 9 16 30 58 113 223 443 882 1760 3516 7027 14049
loop(\(x,i).((((x * 2) - 1) * 2) * (2 + 1)),x,1)
A173535: 1 6 66 786 9426 113106 1357266 16287186 195446226 2345354706 28144256466 337731077586 4052772931026 48633275172306 583599302067666 7003191624811986
((loop(\(x,i).((x * x) + 1),2,(2 + 1)) * x) + 1)
A078787: 1 102 203 304 405 506 607 708 809 910 1011 1112 1213 1314 1415 1516
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),x,1)
A009968: 1 24 576 13824 331776 7962624 191102976 4586471424 110075314176 2641807540224 63403380965376 1521681143169024 36520347436056576 876488338465357824 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) * (2 + 2)) * (2 + 1)),x,1)
A145448: 1 12 288 10368 497664 29859840 2149908480 180592312320 17336861982720 1872381094133760 224685731296051200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * (2 + 1))),x,1)
A014994: 1 ~11 133 ~1595 19141 ~229691 2756293 ~33075515 396906181 ~4762874171 57154490053 ~685853880635 8230246567621 ~98762958811451 1185155505737413 ~14221866068848955
loop(\(x,i).((((2 + 1) * x) + 2) * (2 + 1)),x,1)
A096046: 1 15 141 1275 11481 103335 930021 8370195 75331761 677985855 6101872701 54916854315 494251688841 4448265199575 40034386796181 360309481165635
loop(\(x,i).((((x + 1) * x) div 2) * (2 + 1)),x,1)
A304780: 1 3 18 513 395523 234658258578 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),x,1)
A034494: 1 4 25 172 1201 8404 58825 411772 2882401 20176804 141237625 988663372 6920643601 48444505204 339111536425 2373780754972
loop(\(x,i).(x - (1 - ((x * 2) * (2 + 1)))),x,1)
A083067: 1 6 41 286 2001 14006 98041 686286 4804001 33628006 235396041 1647772286 11534406001 80740842006 565185894041 3956301258286
loop(\(x,i).(x - (2 - ((x * 2) * (2 + 1)))),x,1)
A083076: 1 5 33 229 1601 11205 78433 549029 3843201 26902405 188316833 1318217829 9227524801 64592673605 452148715233 3165041006629
loop(\(x,i).(x - (i - ((x * 2) * (2 + 1)))),x,1)
A122471: 1 6 40 277 1935 13540 94774 663411 4643869 32507074 227549508 1592846545 11149925803 78049480608 546346364242 3824424549679
loop(\(x,i).((i * 2) - ((x * 2) div (2 + 1))),x,1)
A034298: 1 2 3 4 6 6 8 9 10 12 12 14 15 16 18 18
loop(\(x,i).((i + x) - ((x div 2) div (2 + 1))),x,1)
A256967: 1 2 4 7 10 14 18 22 27 32 37 42 47 53 59 65
(loop(\(x,i).(((i + x) + x) * 2),(2 + 1),x) - 1)
A239124: 53 117 181 245 309 373 437 501 565 629 693 757 821 885 949 1013
loop(\(x,i).(((i * x) * (i + 2)) * (2 + 1)),x,1)
A064633: 1 9 216 9720 699840 73483200 10581580800 1999918771200 479980505088000 142554210011136000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(((2 + 1) * x) + 1))
A016784: 1 65536 5764801 100000000 815730721 4294967296 16983563041 54875873536 152587890625 377801998336 852891037441 1785793904896 3512479453921 6553600000000 11688200277601 20047612231936
loop(\(x,i).((x * x) * x),1,(((2 + 1) * x) + 1))
A061102-A016779: 1 64 343 1000 2197 4096 6859 10648 15625 21952 29791 39304 50653 64000 79507 97336
(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) + 1))
A006370: 0 4 1 10 2 16 3 22 4 28 5 34 6 40 7 46
loop(\(x,i).((x * x) * x),2,(((2 + 1) * x) + 1))
A016785: 1 262144 40353607 1000000000 10604499373 68719476736 322687697779 1207269217792 3814697265625 10578455953408 26439622160671 60716992766464 129961739795077 262144000000000 502592611936843
loop(\(x,i).((x - 1) * 2),x,(((2 + 1) * x) + 1))
A027992: 1 6 22 66 178 450 1090 2562 5890 13314 29698 65538 143362 311298 671746 1441794
(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) - 1))
A001281: 0 2 1 8 2 14 3 20 4 26 5 32 6 38 7 44
loop(\(x,i).(((i + 2) + 1) * x),((2 + 1) * x),1)
A065961: 1 120 60480 79833600 217945728000 1067062284288000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((2 + 1) * x) * (2 + 1))),x,1)
A014991: 1 ~8 73 ~656 5905 ~53144 478297 ~4304672 38742049 ~348678440 3138105961 ~28242953648 254186582833 ~2287679245496 20589113209465 ~185302018885184
loop(\(x,i).((((i + 2) + 1) * x) * (2 + 1)),x,1)
A051609: 1 12 180 3240 68040 1632960 44089920 1322697600 43649020800 1571364748800 61283225203200 2573895458534400 115825295634048000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) + 1) * x) * (2 + 1)),x,1)
A034723: 1 9 135 2835 76545 2525985 98513415 4433103675 226088287425 12887032383225 811883040143175 56019929769879075 4201494732740930625 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - 1) * x) * (2 + 1)),x,1)
A011781: 1 3 27 405 8505 229635 7577955 295540245 13299311025 678264862275 38661097149675 2435649120429525 168059789309637225 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div (i + 1)) + x) * (2 + 1)),x,1)
A064017: 1 3 12 45 162 567 1944 6561 21870 72171 236196 767637 2480058 7971615 25509168 81310473
loop(\(x,i).(((2 - (i mod 2)) * x) * (2 + 1)),x,1)
A130505: 1 3 18 54 324 972 5832 17496 104976 314928 1889568 5668704 34012224 102036672 612220032 1836660096
(loop(\(x,i).((x - i) * 2),(x div (2 + 1)),x) + 1)
A280429: 1 2 3 5 7 9 17 21 25 51 59 67 141 157 173 367
loop(\(x,i).(((x + 1) * 2) + (x mod (2 + 1))),x,1)
A053209: 1 5 14 32 68 140 284 572 1148 2300 4604 9212 18428 36860 73724 147452
loop(\(x,i).((x * 2) - ((x - i) mod (2 + 1))),x,1)
A018254: 1 2 4 7 14 28
A057744: 1 2 4 7 14 28 55 110 220 439 878 1756 3511 7022 14044 28087
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)
A135463-A000042: 1 11 111 1111 11111 111111 1111111 11111111 111111111 1111111111 11111111111 111111111111 1111111111111 11111111111111 111111111111111 1111111111111111
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,1)
A059482: 1 9 89 889 8889 88889 888889 8888889 88888889 888888889 8888888889 88888888889 888888888889 8888888888889 88888888888889 888888888888889
(if (((x * x) - 1) mod ((x + 2) + 1)) <= 0 then x else 1)
A326073: 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).((((i + x) * x) * (x + 2)) + 1),x,1)
A308582: 1 7 568
loop(\(x,i).(x - (((i mod 2) - (x * 2)) - 1)),x,1)
A188545: 1 3 10
A033113: 1 3 10 30 91 273 820 2460 7381 22143 66430 199290 597871 1793613 5380840 16142520
loop(\(x,i).(x * x),1,((((x * 2) + 1) * x) - 1))
A123198: 1 4 81 400 1225 2916 5929 10816 18225 28900 43681 63504 89401 122500 164025 215296
loop(\(x,i).(((i mod 2) + x) + ((x * 2) + 1)),x,1)
A037480: 1 5 16 50 151 455 1366 4100 12301 36905 110716 332150 996451 2989355 8968066 26904200
loop(\(x,i).(((i mod 2) + x) + ((x * 2) - 1)),x,1)
A153774: 1 3 8 24 71 213 638 1914 5741 17223 51668 155004 465011 1395033 4185098 12555294
(loop(\(x,i).((i * i) + x),((x * 2) - 1),x) + 1)
A168547: 1 3 17 59 145 291 513 827 1249 1795 2481 3323 4337 5539 6945 8571
((loop(\(x,i).((i + 2) * x),(x * 2),1) - x) - 1)
A016101: 0 10 357 20156 1814395 239500794 43589145593 10461394943992 3201186852863991 1216451004088319990 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) - (x mod 2)) + 1),x,1)
A033114: 1 4 17 68 273 1092 4369 17476 69905 279620 1118481 4473924 17895697 71582788 286331153 1145324612
loop(\(x,i).(((x * 2) * 2) * ((i * 2) + 1)),x,1)
A034910: 1 12 240 6720 241920 10644480 553512960 33210777600 2258332876800 171633298636800 14417197085491200 1326382131865190400 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * ((i * 2) - 1)),x,1)
A144828: 1 4 48 960 26880 967680 42577920 2214051840 132843110400 9033331507200 686533194547200 57668788341964800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 1) * x) * ((i * 2) - 1)),x,1)
A132911: 1 2 18 360 12600 680400 52390800 5448643200 735566832000 125046361440000 26134689540960000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) * ((i * 2) - 1)),x,1)
A132912: 1 3 36 900 37800 2381400 209563200 24518894400 3677834160000 687754987920000 156808137245760000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) div ((i div 2) + 1)),x,1)
A242172: 1 3 6 15 30 70 140 315 630 1386 2772 6006 12012 25740 51480 109395
((loop(\(x,i).(((i + 1) * x) + 1),x,1) * x) + 1)
A093965: 1 4 21 124 825 6186 51961 484968 4988241 56117710 685883121 9053657196 128397320233 1947359356866 31457343457065 539268744978256
loop(\(x,i).(((((x + 2) * 2) * 2) + x) - 1),x,1)
A117088: 1 12 67 342 1717 8592 42967 214842 1074217 5371092 26855467 134277342 671386717 3356933592 16784667967 83923339842
((loop(\(x,i).((x - (i - x)) * 2),x,1) + x) - 1)
A323397: 0 2 5 12 35 122 465 1832 7295 29142 116525 466052 1864155 7456562 29826185 119304672
(loop(\(x,i).((x + 1) * (2 + 1)),(x + 1),x) + 1)
A079272: 4 22 94 364 1336 4738 16402 55768 186988 620014 2037190 6643012 21523360 69353050 222408058 710270896
loop(\(x,i).(x * 2),(((2 + 2) * (x + 1)) + x),1)
A013825: 16 512 16384 524288 16777216 536870912 17179869184 549755813888 17592186044416 562949953421312 18014398509481984 576460752303423488 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + (2 div (x + 1))),x,1)
A269696-A170686-A170638-A170590-A170542-A170494-A170446-A170398-A170350-A170302-A170254-A170206-A170158-A170110-A170062-A170014-A169546-A169498-A169450-A169402-A169354-A169306-A169258-A169210-A169162-A169114-A169066-A169018-A168970-A168922-A168874-A168826-A168778-A168730-A168682-A167896-A003947: 1 5 20 80 320 1280 5120 20480 81920 327680 1310720 5242880 20971520 83886080 335544320 1342177280
(loop(\(x,i).(((i mod 2) + x) * 2),(x + 1),x) + 1)
A191007: 3 9 27 69 171 405 939 2133 4779 10581 23211 50517 109227 234837 502443 1070421
(loop(\(x,i).((i div 2) + (x * 2)),(x + 1),x) + 1)
A127982: 1 6 20 57 147 360 850 1959 4433 9894 21840 47781 103759 223908 480590 1026723
(loop(\(x,i).((x div 2) + x),2,((x + 1) * x)) + 1)
A301294: 1 5 14 28 46 68 95 127 163 203 248 298 352 410 473 541
loop(\(x,i).((i * x) * (i + 2)),((x + 1) * x),1)
A319900: 1 24 14515200 4611686018427387903
loop(\(x,i).((x div 2) + x),2,(((x + 1) * x) + 1))
A301292: 1 6 15 28 46 69 96 127 163 204 249 298 352 411 474 541
loop(\(x,i).((i + 1) * x),x,(((x + 1) * x) + 1))
A162968: 1 6 42 312 2520 22320 216720 2298240 26490240 330220800 4430764800 63707212800 977642265600 15953627289600 275919291648000 5042392363008000
loop(\(x,i).((((i * 2) + 1) * i) + (x + 1)),x,1)
A174723: 1 5 16 38 75 131 210 316 453 625 836 1090 1391 1743 2150 2616
(loop(\(x,i).(((i + 1) * x) - 1),(x - 1),x) + 1)
A140836: 1 2 4 15 80
loop(\(x,i).(i * x),(x - 2),(((x - 1) * x) + 1))
A108217: 1 1 3 7 26 126 744 5160 41040 367920 3669120 40279680 482630400 6266937600 87657292800 1313901388800
loop(\(x,i).(((2 + 2) + 1) * x),((x - 1) * x),1)
A053766: 1 1 25 15625 244140625 95367431640625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i mod 2) + 2) * x),((x - 1) * x),1)
A109354: 1 1 6 216 46656 60466176 470184984576 21936950640377856 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - (x div 2)) * x),((x - 1) * x),1)
A275588: 1 1 2 16 4611686018427387903
(((x mod ((2 + 2) + 1)) mod (if x <= 0 then 1 else x)) + 1)
A339146: 1 1 1 1 1 1 2 3 4 5 1 2 3 4 5 1
(((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)) + 1)
A322856-A291146-A280863-A274841-A273736-A175772-A049814: 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8
((((x + 2) * x) + 1) * ((if x <= 0 then 1 else x) + 1))
A184628: 2 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096
loop(\(x,i).((((x mod 2) * 2) + (x * x)) - 1),x,1)
A229220: 1 2 3 10 99 9802 96079203 9231213249115210 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * i) * x) + 1),x,1)
A056546: 1 6 61 916 18321 458026 13740781 480927336 19237093441 865669204846 43283460242301 2380590313326556 142835418799593361 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div (i + 1)) + (i + x)) + 1),x,1)
A062714: 1 3 7 12 19 28 39
A337300: 1 3 7 12 19 28 39 51 65 81 99 119 141 165 191 218
loop(\(x,i).((((x mod 2) * 2) + (i * x)) - 1),x,1)
A003048: 1 2 3 10 39 196 1175 8226 65807 592264 5922639 65149030 781788359 10163248668 142285481351 2134282220266
loop(\(x,i).((((x * 2) * (2 + 1)) + i) + 1),x,1)
A014829: 1 8 51 310 1865 11196 67183 403106 2418645 14511880 87071291 522427758 3134566561 18807399380 112844396295 677066377786
loop(\(x,i).(((((x * 2) * 2) * 2) + i) + 1),x,1)
A014831: 1 10 83 668 5349 42798 342391 2739136 21913097 175304786 1402438299 11219506404 89756051245 718048409974 5744387279807 45955098238472
loop(\(x,i).((((i + x) * 2) + 1) * (i + 1)),x,1)
A271476: 1 10 75 628 6325 75966 1063615 17017960 306323433 6126468850 134782314931 3234775558620 84104164524445 2354916606684838 70647498200545575 2260719942417458896
loop(\(x,i).(((i * x) * (i + 1)) * (i + 1)),x,1)
A224900: 1 4 72 3456 345600 62208000 18289152000 8193540096000 5309413982208000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - 1) mod ((2 + 2) * (i + 1))),x,1)
A261304: 1 0 11 10 9 8 7 6 5 4 3 2 1 0 59 58
loop(\(x,i).(((i * x) * (i + 2)) * (i + 1)),x,1)
A090443: 1 6 144 8640 1036800 217728000 73156608000 36870930432000 26547069911040000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) + (i + 1)),x,1)
A014827: 1 7 38 194 975 4881 24412 122068 610349 3051755 15258786 76293942 381469723 1907348629 9536743160 47683715816
(0 - loop(\(x,i).(((i * i) * x) * (0 - 2)),x,1))
A055546: ~1 2 ~16 288 ~9216 460800 ~33177600 3251404800 ~416179814400 67421129932800 ~13484225986560000 3263182688747520000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * 2),(x - 1),1) div 2) + x) + 1)
A231408: 1 2 4 6 9
A323227: 1 2 4 6 9 14 23 40 73 138 267 524 1037 2062 4111 8208
loop(\(x,i).(((((x + 2) + 2) + 2) + 1) * 2),x,1)
A099003: 1 16 46 106 226 466 946 1906 3826 7666 15346 30706 61426 122866 245746 491506
loop(\(x,i).(((0 - x) mod ((2 + 2) + 1)) * 2),x,1)
A014391: 1 8 4 2 6 8 4 2 6 8 4 2 6 8 4 2
loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * 2),x,1)
A078008: 1 0 2 2 6 10 22 42 86 170 342 682 1366 2730 5462 10922
loop(\(x,i).((((x - (i mod 2)) * 2) + 1) * 2),x,1)
A122117: 1 2 10 38 154 614 2458 9830 39322 157286 629146 2516582 10066330 40265318 161061274 644245094
(loop(\(x,i).(x + 2),(x - ((2 + 1) * 2)),x) + 1)
A308019: 1 2 3 4 5 6 7 10 13 16 19 22 25 28 31 34
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 2),x,1)
A138894: 1 11 101 911 8201 73811 664301 5978711 53808401 484275611 4358480501 39226324511 353036920601 3177332285411 28595990568701 257363915118311
loop(\(x,i).((x - ((1 - i) * (2 + 1))) * 2),x,1)
A131068: 1 2 10 32 82 188 406 848 1738 3524 7102 14264 28594 57260 114598 229280
(loop(\(x,i).((((x + 1) * x) div 2) + 1),2,x) - 1)
A188545: 1 3 10
A267707: 1 3 10 28 66 136 253 435 703 1081 1596 2278 3160 4278 5671 7381
loop(\(x,i).(((((i mod 2) + x) * 2) - 1) * 2),x,1)
A255465: 1 6 22 90 358 1434 5734 22938 91750 367002 1468006 5872026 23488102 93952410 375809638 1503238554
loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,1)
A090843: 1 12 122 1222 12222 122222 1222222 12222222 122222222 1222222222 12222222222 122222222222 1222222222222 12222222222222 122222222222222 1222222222222222
((loop(\(x,i).((x * 2) + 1),(x - 1),2) * x) + 1)
A036542: 1 3 11 34 93 236 571 1338 3065 6904 15351 33782 73717 159732 344051 737266
loop(\(x,i).((((i * i) * x) * (i + 1)) div 2),x,1)
A167484: 1 1 6 108 4320 324000 40824000 8001504000 2304433152000 933295426560000 513312484608000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - (x div (0 - 2))) * 2),x,1)
A170687-A170639-A170591-A170543-A170495-A170447-A170399-A170351-A170303-A170255-A170207-A170159-A170111-A170063-A170015-A169547-A169499-A169451-A169403-A169355-A169307-A169259-A169211-A169163-A169115-A169067-A169019-A168971-A168923-A168875-A168827-A168779-A168731-A168683-A167897-A003948: 1 6 30 150 750 3750 18750 93750 468750 2343750 11718750 58593750 292968750 1464843750 7324218750 36621093750
loop(\(x,i).(x - (x div ((x mod (0 - 2)) - 2))),x,1)
A018752: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) * 2),x,1)
A222011: 1 2 4 8
A095915: 1 2 4 8 16 12 4 8 16 12 4 8 16 12 4 8
(if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A337864-A137564-A106612-A084905: 0 1 2 3 4 5 6 7 8 9 10 1 12 13 14 15
(loop(\(x,i).(((x + 2) * (x + 1)) div 2),2,x) - 1)
A153977: 2 9 27 65 135 252 434 702 1080 1595 2277 3159 4277 5670 7380 9452
((loop(\(x,i).(((x * x) * x) - 1),2,2) + x) + 1)
A112821: 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358
loop(\(x,i).((((x div 2) * (i + 1)) div 2) + 2),x,1)
A107481: 1 2 3 4 7 11 19 38
loop(\(x,i).(((x - (x div (0 - 2))) * 2) * 2),x,1)
A270576: 1 8 48 288 1728 10368 62208 373248 2239488 13436928 80621568 483729408 2902376448 17414258688 104485552128 626913312768
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),x,1)
A009976: 1 32 1024 32768 1048576 33554432 1073741824 34359738368 1099511627776 35184372088832 1125899906842624 36028797018963968 1152921504606846976 4611686018427387903 4611686018427387903
((((if x <= 0 then 1 else ((2 + 2) * 2)) * 2) + x) - 1)
A250038-A248501: 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
(loop(\(x,i).(i + 1),(x - ((2 + 2) * 2)),x) + 1)
A178051: 1 2 3 4 5 6 7 8 9 3 4 5 6 7 8 9
(loop(\(x,i).(x + 2),(x - ((2 + 2) * 2)),x) + 1)
A008816: 1 2 3 4 5 6 7 8 9 12 15 18 21 24 27 30
(loop(\(x,i).(x - 2),(x - ((2 + 2) * 2)),x) + 1)
A262734-A179987: 1 2 3 4 5 6 7 8 9 8 7 6 5 4 3 2
(loop(\(x,i).(1 - i),(x - ((2 + 2) * 2)),x) + 1)
A274580: 1 2 3 4 5 6 7 8 9 1 0 ~1 ~2 ~3 ~4 ~5
loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,1)
A047855: 1 2 12 112 1112 11112 111112 1111112 11111112 111111112 1111111112 11111111112 111111111112 1111111111112 11111111111112 111111111111112
(if (x mod (((2 - x) mod (2 + 2)) + 2)) <= 0 then x else 1)
A131516: 0 1 2 1 4 1 6 1 8 9 10 1 12 1 14 15
(loop(\(x,i).(i + x),((x mod (2 + 2)) * 2),x) + 1)
A121511: 1 5 13 25 5 9 17 29 9 13 21 33 13 17 25 37
(loop(\(x,i).((((2 + 1) * x) + 2) * 2),2,x) + 1)
A044131: 29 65 101 137 173 209 245 281 317 353 389 425 461 497 533 569
loop(\(x,i).((x - ((1 - (x * 2)) * 2)) * 2),x,1)
A093142: 1 6 56 556 5556 55556 555556 5555556 55555556 555555556 5555555556 55555555556 555555555556 5555555555556 55555555555556 555555555555556
loop(\(x,i).((((x div 2) + (x * 2)) * 2) * 2),x,1)
A346178: 1 8 80 800 8000 80000 800000 8000000 80000000 800000000 8000000000 80000000000 800000000000 8000000000000 80000000000000 800000000000000
loop(\(x,i).((((x mod 2) + (x * 2)) * 2) * 2),x,1)
A270568: 1 12 96 768 6144 49152 393216 3145728 25165824 201326592 1610612736 12884901888 103079215104 824633720832 6597069766656 52776558133248
loop(\(x,i).(2 - (x - (((x * 2) * 2) * 2))),x,1)
A238275: 1 9 65 457 3201 22409 156865 1098057 7686401 53804809 376633665 2636435657 18455049601 129185347209 904297430465 6330082013257
loop(\(x,i).((((x * 2) - (x mod 2)) * 2) * 2),x,1)
A092811: 1 4 32 256 2048 16384 131072 1048576 8388608 67108864 536870912 4294967296 34359738368 274877906944 2199023255552 17592186044416
(if x <= 0 then 2 else (((((x mod 2) * 2) * 2) + x) - 1))
A065164: 2 4 1 6 3 8 5 10 7 12 9 14 11 16 13 18
((((loop(\(x,i).(i * x),x,2) + 2) * 2) + x) + 1)
A073829: 9 10 15 32 105 490 2891 20172 161293 1451534 14515215 159667216 1916006417 24908083218 348713164819 5230697472020
loop(\(x,i).((x - ((x div (i + 2)) mod 2)) * 2),x,1)
A222011: 1 2 4 8
A004651: 1 2 4 8 14 28 54
(loop(\(x,i).((i + x) + (x * 2)),(2 + 2),x) + 1)
A156796: 59 140 221 302 383 464 545 626 707 788 869 950 1031 1112 1193 1274
loop(\(x,i).(x - (((i mod 2) - x) * (2 + 2))),x,1)
A100284: 1 1 5 21 105 521 2605 13021 65105 325521 1627605 8138021 40690105 203450521 1017252605 5086263021
(loop(\(x,i).((x + 2) + 1),(x - (2 + 2)),x) + 1)
A026484: 1 2 3 4 5 9 13 17 21 25 29 33 37 41 45 49
(loop(\(x,i).(i * x),x,((x div (2 + 2)) + x)) + 1)
A322011: 1 2 5 19 121
(1 - (x mod loop(\(x,i).((i * x) - (2 + 2)),x,1)))
A210689: 1 3 9 32 137
loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),x,1)
A099914: 1 14 144 1444 14444 144444 1444444 14444444 144444444 1444444444 14444444444 144444444444 1444444444444 14444444444444 144444444444444 1444444444444444
loop(\(x,i).((x - (((x mod 2) - x) * 2)) * 2),x,1)
A167747: 1 2 12 72 432 2592 15552 93312 559872 3359232 20155392 120932352 725594112 4353564672 26121388032 156728328192
loop(\(x,i).((((x div 2) + x) + (x * 2)) * 2),x,1)
A055272: 1 6 42 294 2058 14406 100842 705894 4941258 34588806 242121642 1694851494 11863960458 83047723206 581334062442 4069338437094
loop(\(x,i).((((x * 2) * 2) + (x div 2)) * 2),x,1)
A055275: 1 8 72 648 5832 52488 472392 4251528 38263752 344373768 3099363912 27894275208 251048476872 2259436291848 20334926626632 183014339639688
loop(\(x,i).((((x * 2) * 2) - (x div 2)) * 2),x,1)
A170689-A170641-A170593-A170545-A170497-A170449-A170401-A170353-A170305-A170257-A170209-A170161-A170113-A170065-A170017-A169549-A169501-A169453-A169405-A169357-A169309-A169261-A169213-A169165-A169117-A169069-A169021-A168973-A168925-A168877-A168829-A168781-A168733-A168685-A167899-A003950: 1 8 56 392 2744 19208 134456 941192 6588344 46118408 322828856 2259801992 15818613944 110730297608 775112083256 5425784582792
(((if ((2 - x) + 2) <= 0 then (x div 2) else 2) + x) + 1)
A154660: 3 4 5 6 7 8
A298003: 3 4 5 6 7 8 10 11 13 14 16 17 19 20 22 23
((loop(\(x,i).((i + x) * 2),(x div 2),2) + x) + 1)
A126269: 3 4 9 10 21 22 45 46 93 94 189 190 381 382 765 766
loop(\(x,i).((1 - (x * 2)) - ((x div 2) mod 2)),x,1)
A077931: 1 ~1 2 ~4 9 ~17 34 ~68 137 ~273 546 ~1092 2185 ~4369 8738 ~17476
loop(\(x,i).((((x * 2) * 2) - (x mod 2)) * 2),x,1)
A083233: 1 6 48 384 3072 24576 196608 1572864 12582912 100663296 805306368 6442450944 51539607552 412316860416 3298534883328 26388279066624
loop(\(x,i).((((i * x) * 2) - (x mod 2)) * 2),x,1)
A274448-A051711: 1 2 16 192 3072 61440 1474560 41287680 1321205760 47563407360 1902536294400 83711596953600 4018156653772800 208944145996185600 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - 1) * x) + ((x mod 2) + 2)),x,1)
A054099: 1 3 6 14 44 178 892 5354 37480 299842 2698580 26985802 296843824 3562125890 46307636572 648306912010
loop(\(x,i).(x - ((x + 2) div ((x mod 2) - 2))),x,1)
A164123: 1 4 7 16 25 52 79 160 241 484 727 1456 2185 4372 6559 13120
(((if (x - 2) <= 0 then 1 else ((x mod 2) * 2)) + x) + 1)
A104650: 2 3 4 6 5 8 7
loop(\(x,i).((((x - 1) * x) + (x mod 2)) * 2),x,1)
A001510: 1 2 4 24 1104 2435424 11862575248704 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) - (x div ((i + 2) * 2))),x,1)
A025708: 1 2 4 7 11 16 21 27 34 42 51 61 71 82 94 107
loop(\(x,i).(x - (((2 - x) div (i + 2)) - 2)),x,1)
A256966: 1 3 6 9 13 17 21 26 31 36 41 46 52 58 64 70
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),x,1)
A001023: 1 14 196 2744 38416 537824 7529536 105413504 1475789056 20661046784 289254654976 4049565169664 56693912375296 793714773254144 11112006825558016 155568095557812224
loop(\(x,i).(((((i + 1) * 2) + 1) * x) * 2),x,1)
A051618: 1 10 140 2520 55440 1441440 43243200 1470268800 55870214400 2346549004800 107941254220800 5397062711040000 291441386396160000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - ((((2 + 2) + 1) * x) * 2)),x,1)
A014992: 1 ~9 91 ~909 9091 ~90909 909091 ~9090909 90909091 ~909090909 9090909091 ~90909090909 909090909091 ~9090909090909 90909090909091 ~909090909090909
loop(\(x,i).(((((i + 2) * 2) + 1) * x) * 2),x,1)
A051622: 1 14 252 5544 144144 4324320 147026880 5587021440 234654900480 10794125422080 539706271104000 29144138639616000 1690360041097728000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) * 2) + 1) * x) * 2),x,1)
A034908: 1 10 180 4680 159120 6683040 334152000 19380816000 1279133856000 94655905344000 7761784238208000 698560581438720000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) * 2) - 1) * x) * 2),x,1)
A147626: 1 6 84 1848 55440 2106720 96909120 5233092480 324451733760 22711621363200 1771506466329600 152349556104345600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i div 2) * 2) + 1) * x) * 2),x,1)
A002867: 1 2 12 72 720 7200 100800 1411200 25401600 457228800 10059033600 221298739200 5753767219200 149597947699200 4487938430976000 134638152929280000
loop(\(x,i).(((((i mod 2) * 2) + 1) * x) * 2),x,1)
A107904: 1 6 12 72 144 864 1728 10368 20736 124416 248832 1492992 2985984 17915904 35831808 214990848
(((if ((x + 1) mod (2 + 1)) <= 0 then x else 2) + x) - 1)
A222257: 1 2 3 4 5 9 7 8 15 10 11 21 13 14 27 16
loop(\(x,i).((((2 + 2) * (2 + 1)) + x) * 2),x,1)
A139698: 1 26 76 176 376 776 1576 3176 6376 12776 25576 51176 102376 204776 409576 819176
loop(\(x,i).((((x div 2) * (2 + 1)) + x) * 2),x,1)
A020699: 1 2 10 50 250 1250 6250 31250 156250 781250 3906250 19531250 97656250 488281250 2441406250 12207031250
loop(\(x,i).((((x * x) * (2 + 1)) + x) div 2),x,1)
A059406: 1 2 7 77 8932 119675402 21483302825630107 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) * (2 + 1)) + x) * 2),x,1)
A034689: 1 8 112 2240 58240 1863680 70819840 3116072960 155803648000 8725004288000 540950265856000 36784618078208000 2722061737787392000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) * (2 + 1)) - x) * 2),x,1)
A049308: 1 4 40 640 14080 394240 13404160 536166400 24663654400 1282510028800 74385581670400 4760677226905600 333247405883392000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((1 - (i mod (2 + 1))) - x) * 2),x,1)
A131562: 1 ~2 2 ~2 4 ~10 22 ~44 86 ~170 340 ~682 1366 ~2732 5462 ~10922
loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),x,1)
A246059: 1 18 188 1888 18888 188888 1888888 18888888 188888888 1888888888 18888888888 188888888888 1888888888888 18888888888888 188888888888888 1888888888888888
(loop(\(x,i).(((i + x) + (x + 1)) * x),2,x) + 1)
A272850: 1 45 325 1225 3321 7381 14365 25425 41905 65341 97461 140185 195625 266085 354061 462241
((loop(\(x,i).((i + x) * (x + 1)),x,2) + x) + 1)
A275338: 3 11 113
loop(\(x,i).((((i mod 2) + (i - 1)) * x) * 2),x,1)
A110491: 1 2 4 24 144 1440 14400 201600 2822400 50803200 914457600 20118067200 442597478400 11507534438400 299195895398400 8975876861952000
(loop(\(x,i).((x div ((2 + 2) * 2)) + x),2,x) + 1)
A259178: 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 19
loop(\(x,i).(((((i mod 2) + 2) + 2) * x) div 2),x,1)
A026395: 1 2 4 10 20 50 100 250 500 1250 2500 6250 12500 31250 62500 156250
loop(\(x,i).(x - ((((x div 2) mod 2) - x) div 2)),x,1)
A328262: 1 2 3 4 6 9 14 21 32 48 72 108 162 243 364 546
loop(\(x,i).(x - ((((i mod 2) - 2) * x) * 2)),x,1)
A100747: 1 3 15 45 225 675 3375 10125 50625 151875 759375 2278125 11390625 34171875 170859375 512578125
loop(\(x,i).(((((2 + 1) * i) + 2) * x) * 2),x,1)
A034724: 1 10 160 3520 98560 3351040 134041600 6165913600 320627507200 18596395417600 1190169306726400 83311851470848000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * i) - 2) * x) * 2),x,1)
A047657: 1 2 16 224 4480 116480 3727360 141639680 6232145920 311607296000 17450008576000 1081900531712000 73569236156416000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 1) * i) + 2) * x) div 2),x,1)
A128814: 1 2 8 56 616 9856 216832 6288128 232660736 10702393856 599334055936 40155381747712 3172275158069248 291849314542370816 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * i) div 2) + x) + 2),x,1)
A173154: 1 4 10 19 33 52 78 111 153 204 266 339 425 524 638 767
loop(\(x,i).((((i + x) * x) + 2) div (x + 2)),x,1)
A022856: 1 1 1 2 3 5 8 12 17 23 30 38 47 57 68 80
(loop(\(x,i).(x * 2),x,1) mod (((x + 2) * x) + 1))
A220105: 0 2 4 8 16 32 15 0 13 12 56 32 40 156 184 0
(loop(\(x,i).(i * x),x,1) div (((x + 2) * x) + 1))
A242426: 1 0 0 0 0 3 14 78 497 3628 29990 277200 2834328 31770514 387459072 5108103000
(loop(\(x,i).(x * 2),x,2) div (((x + 2) * x) + 1))
A060505: 2 1 0 1 1 1 2 4 6 10 16 28 48 83 145 256
(loop(\(x,i).(x * 2),x,2) mod (((x + 2) * x) + 1))
A066606: 0 0 8 0 7 28 30 0 26 24 112 64 80 116 143 0
loop(\(x,i).((2 + 1) * x),x,(((x + 2) * x) + 1))
A069996: 1 12 81 432 2025 8748 35721 139968 531441 1968300 7144929 25509168 89813529 312487308 1076168025 3673320192
loop(\(x,i).((i + 2) * x),x,(((x + 2) * x) + 1))
A055533: 1 12 108 960 9000 90720 987840 11612160 146966400 1995840000 28979596800 448345497600 7366565606400 128152088064000 2353813862400000 45527990796288000
loop(\(x,i).(i * x),(((x * x) div (x + 2)) * x),1)
A005607: 1 1 2 6 40320
A161563: 1 1 2 6 40320 1307674368000 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * (x - 2)),x,1)
A165759: 1 ~7 ~63 ~455 ~3199 ~22407 ~156863 ~1098055 ~7686399 ~53804807 ~376633663 ~2636435655 ~18455049599 ~129185347207 ~904297430463 ~6330082013255
(loop(\(x,i).(((x * x) div 2) + 1),(x - 2),x) + 1)
A124045: 1 2 3 6 42
loop(\(x,i).((1 - ((2 + 2) * 2)) * (x - 2)),x,1)
A165639: 1 7 ~35 259 ~1799 12607 ~88235 617659 ~4323599 30265207 ~211856435 1482995059 ~10380965399 72666757807 ~508667304635 3560671132459
(((x div (if (x - 2) <= 0 then 2 else (x - 2))) + x) + 1)
A161211: 1 2 4 7 7 7
((loop(\(x,i).(x * 2),x,2) - ((x - 2) * x)) - 1)
A243860: 1 4 7 12 23 48 103 220 463 960 1967 3996 8071 16240 32599 65340
loop(\(x,i).(i * x),(x - 2),(((x - 2) * x) + 1))
A094304: 1 0 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800
((((x * x) + 1) div 2) * (if (x - 2) <= 0 then x else 1))
A030978: 0 1 4 5 8 13 18 25 32 41 50 61 72 85 98 113
loop(\(x,i).(((i * i) mod (2 + 1)) + (x * 2)),x,1)
A267210: 1 3 7 14 29 59 118 237 475 950 1901 3803 7606 15213 30427 60854
loop(\(x,i).(((i + 2) * (i + 1)) + (x * 2)),x,1)
A134638: 1 8 28 76 182 406 868 1808 3706 7522 15176 30508 61198 122606 245452 491176
loop(\(x,i).(((i div (0 - 2)) mod 2) + (x * 2)),x,1)
A151754: 1 3 7 14 28 57 115 230 460 921 1843 3686 7372 14745 29491 58982
loop(\(x,i).((((i - 1) * i) div 2) + (x * 2)),x,1)
A116702: 1 2 5 13 32 74 163 347 722 1480 3005 6065 12196 24470 49031 98167
loop(\(x,i).((((x div 2) + i) mod 2) + (x * 2)),x,1)
A265381: 1 3 7 14 29 59 119 238 477 955 1911 3822 7645 15291 30583 61166
(((x * 2) * (x + 1)) + loop(\(x,i).(x * 2),x,1))
A131949: 1 6 16 32 56 92 148 240 400 692 1244 2312 4408 8556 16804 33248
((((2 + 2) + 1) * 2) + loop(\(x,i).(x * 2),x,1))
A246139: 11 12 14 18 26 42 74 138 266 522 1034 2058 4106 8202 16394 32778
((((1 - x) * x) div 2) + loop(\(x,i).(x * 2),x,1))
A014844: 1 2 3 5 10 22 49 107 228 476 979 1993 4030 8114 16293 32663
((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),x,1))
A297663: 1 7 14 23 36 57 94 163 296 557 1074 2103 4156 8257 16454 32843
((((x + 2) + 1) * x) + loop(\(x,i).(x * 2),x,1))
A131951: 1 6 14 26 44 72 118 198 344 620 1154 2202 4276 8400 16622 33038
((((2 - x) + 1) * x) + loop(\(x,i).(x * 2),x,1))
A231407: 1 4 6
A176777: 1 4 6 8 12 22 46 100 216 458 954 1960 3988 8062 16230 32588
((x mod 2) - loop(\(x,i).((2 - x) - (x * 2)),x,1))
A341463: ~1 2 ~5 14 ~41 122 ~365 1094 ~3281 9842 ~29525 88574 ~265721 797162 ~2391485 7174454
(loop(\(x,i).(((i + 1) * i) + x),(x * 2),x) + 1)
A336288: 1 10 43 116 245 446 735 1128 1641 2290 3091 4060 5213 6566 8135 9936
loop(\(x,i).((((i + 2) * 2) + i) * (x * 2)),x,1)
A053101: 1 14 280 7280 232960 8852480 389509120 19475456000 1090625536000 67618783232000 4598077259776000 340257717223424000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i div ((x div 2) + 1)) + (x div 2)),x,1)
A321578: 1 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6
loop(\(x,i).((((x mod 2) + 2) * x) - (x div 2)),x,1)
A086813: 1 3 8 12 18 27 68 102 153 383 958 1437 3593 8983 22458 33687
((((x + 1) * x) div 2) + (if (x mod 2) <= 0 then x else 1))
A266259: 0 2 5 7 14 16 27 29 44 46 65 67 90 92 119 121
((((x + 2) * x) + 1) * ((if x <= 0 then 2 else x) + 1))
A066023: 3 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) + x) + 1)
A060460: 3 12 53 254 1255 6256 31257 156258 781259 3906260 19531261 97656262 488281263 2441406264 12207031265 61035156266
loop(\(x,i).(x - (((x div (2 + 1)) - i) div 2)),x,1)
A126794: 1 2 3 4 6 8 10 12 14 17 20 23 26 29 32 35
loop(\(x,i).(((x div 2) + (x * 2)) * (i * 2)),x,1)
A052675: 1 4 40 600 12000 300000 9000000 315000000 12600000000 567000000000 28350000000000 1559250000000000 93555000000000000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * i) + x),(x + 1),0) * (x + 1))
A108678: 1 10 42 120 275 546 980 1632 2565 3850 5566 7800 10647 14210 18600 23936
(if (x - (((2 + 2) + 1) * 2)) <= 0 then 0 else (x + 1))
A071955: 0 0 0 0 0 0 0 0 0 0 0 12 13 14 15 16
(loop(\(x,i).((1 - i) * (x + 1)),x,0) mod (x + 1))
A226570: 0 0 2 0 2 2 4 0 8 2 10 8 8 4 2 8
((1 - ((x mod 2) * 2)) * (if x <= 0 then 0 else (x + 1)))
A131738: 0 ~2 3 ~4 5 ~6 7 ~8 9 ~10 11 ~12 13 ~14 15 ~16
(loop(\(x,i).(((i + x) * 2) + x),x,0) mod (x + 1))
A094918: 0 0 1 0 1 4 1 0 4 4 1 4 1 4 13 0
((loop(\(x,i).(x * x),2,(2 + 1)) + 1) div (x + 1))
A033402: 82 41 27 20 16 13 11 10 9 8 7 6 6 5 5 5
(loop(\(x,i).(1 - (i * x)),(x - 1),1) mod (x + 1))
A067462: 0 1 0 1 3 3 5 1 0 3 0 9 9 5 3 9
(loop(\(x,i).(((x * x) + 2) * 2),2,1) div (x + 1))
A033396: 76 38 25 19 15 12 10 9 8 7 6 6 5 5 5 4
((loop(\(x,i).((x * x) * 2),2,2) - 1) mod (x + 1))
A254410: 0 1 1 3 2 1 1 7 1 7 6 7 10 1 7 15
((loop(\(x,i).((x + 1) * x),2,2) + 1) div (x + 1))
A033363: 43 21 14 10 8 7 6 5 4 4 3 3 3 3 2 2
((loop(\(x,i).((x + 2) * x),2,2) - 1) div (x + 1))
A033399: 79 39 26 19 15 13 11 9 8 7 7 6 6 5 5 4
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) div (x + 1))
A092763: 3 4 9 20 48 121 312 820 2187 5904 16104 44286 122640 341640 956593 2690420
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod (x + 1))
A066601: 0 1 0 1 3 3 3 1 0 9 3 9 3 9 12 1
(if x <= 0 then 1 else (((x * x) div (2 + 1)) mod (x + 1)))
A089598: 1 0 1 3 0 2 5 0 3 7 0 4 9 0 5 11
((loop(\(x,i).((x * 2) * 2),x,2) - 1) * (x + 1))
A224328: 1 14 93 508 2555 12282 57337 262136 1179639 5242870 23068661 100663284 436207603 1879048178 8053063665 34359738352
loop(\(x,i).((x * 2) * 2),((x * 2) + 1),(x + 1))
A267796: 4 128 3072 65536 1310720 25165824 469762048 8589934592 154618822656 2748779069440 48378511622144 844424930131968 14636698788954112 252201579132747776 4323455642275676160 4611686018427387903
(loop(\(x,i).((i + 1) * x),(x * 2),1) div (x + 1))
A110468: 1 3 40 1260 72576 6652800 889574400 163459296000 39520825344000 12164510040883200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * i) + x),(x div 2),1) mod (x + 1))
A133624: 0 1 2 2 1 0 1 7 4 1 1 8 1 8 6 13
((loop(\(x,i).((2 + 1) * x),x,2) - 1) * (x + 1))
A224327: 1 10 51 212 805 2910 10199 34984 118089 393650 1299067 4251516 13817453 44641030 143489055 459165008
(loop(\(x,i).(((x * 2) * 2) + 1),x,1) mod (x + 1))
A094919: 0 1 0 1 1 3 1 5 0 5 1 9 1 5 6 5
(loop(\(x,i).(((i + 1) * x) + 1),x,1) * (x + 1))
A345887: 1 6 30 164 1030 7422 60620 554248 5611770 62353010 754471432 9876716940 139097096918 2097156230470 33704296561140 575219994643472
(loop(\(x,i).(((x div 2) + x) * 2),x,1) * (x + 1))
A027261: 1 4 18 72 270 972 3402 11664 39366 131220 433026 1417176 4605822 14880348 47829690 153055008
((loop(\(x,i).(x * 2),x,1) div (x + 1)) * (x + 1))
A131959: 1 2 3 8
A011946: 1 2 3 8 15 30 63 128 252 510 1023 2040
((loop(\(x,i).(i * x),x,1) mod (x + 1)) * (x + 1))
A072230: 0 2 6 8 20 0 42 0 0 0 110 0 156 0 0 0
loop(\(x,i).(((x + 1) * x) div 2),(x + 1),(x + 1))
A099129: 1 6 231 1186570 347357071281165 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) div (x + 1)) * (x + 1))
A128092: 2 4 6 16 30 60 126 256 504 1020 2046 4092 8190 16380 32760 65536
loop(\(x,i).((i * i) * (x * 2)),(x + 1),(x + 1))
A333772: 2 32 864 36864 2304000 199065600 22759833600 3329438515200 606790169395200 134842259865600000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * 2) + 1) * x),(x + 1),(x + 1))
A200142: 3 30 315 3780 51975 810810 14189175 275675400 5892561675 137493105750 3478575575475 94870242967500 2774954606799375 86663966950811250 2878481759437659375 4611686018427387903
(loop(\(x,i).((0 - x) * 2),x,(x - 1)) mod (x + 1))
A215747: 0 0 1 0 3 4 5 0 1 4 9 4 11 4 7 0
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (x + 1))
A062176: 0 1 1 1 0 5 1 5 7 5 1 5 1 5 10 13
((if (x - 2) <= 0 then 2 else ((x * x) - 1)) * (x + 1))
A100838: 2 4 6 32
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * (x + 1))
A110803-A109795: 1 2 3 4 5 6 7 8 9 20 22 24 26 28 30 32
loop(\(x,i).((((x * 2) * 2) * 2) - 1),2,(x + 1))
A044242: 55 119 183 247 311 375 439 503 567 631 695 759 823 887 951 1015
((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * (x + 1))
A132271: 1 2 3 4 5 6 7 8 9 10 22 24 26 28 30 32
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1))
A134341: 144 288 432 576 720 864 1008 1152 1296 1440 1584 1728 1872 2016 2160 2304
((loop(\(x,i).(x * x),2,(2 + 1)) + 2) div (x + 1))
A033403: 83 41 27 20 16 13 11 10 9 8 7 6 6 5 5 5
((loop(\(x,i).(x * 2),x,(2 + 1)) div 2) * (x + 1))
A128543: 1 6 18 48 120 288 672 1536 3456 7680 16896 36864 79872 172032 368640 786432
loop(\(x,i).(x - ((x div 2) div (i + 1))),2,(x + 1))
A324477: 1 2 3 3 4 5 5 5 6 7 8 8 9 10 10 10
(loop(\(x,i).(((x * x) * 2) - 1),2,2) div (x + 1))
A033417: 97 48 32 24 19 16 13 12 10 9 8 8 7 6 6 6
(loop(\(x,i).(((x + 1) * x) + 1),2,2) div (x + 1))
A033377: 57 28 19 14 11 9 8 7 6 5 5 4 4 4 3 3
(loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1))
A166731-A044332: 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600
(loop(\(x,i).(((x + 2) * x) + 1),2,2) div (x + 1))
A033420: 100 50 33 25 20 16 14 12 11 10 9 8 7 7 6 6
(loop(\(x,i).(((x + 2) * x) + 1),2,2) mod (x + 1))
A090976: 0 0 1 0 0 4 2 4 1 0 1 4 9 2 10 4
(loop(\(x,i).((i * x) * (x + 1)),2,2) div (x + 1))
A033404: 84 42 28 21 16 14 12 10 9 8 7 7 6 6 5 5
(loop(\(x,i).(((x * x) - 1) * 2),2,2) div (x + 1))
A033390: 70 35 23 17 14 11 10 8 7 7 6 5 5 5 4 4
(loop(\(x,i).((i * x) + 1),(2 + 2),2) div (x + 1))
A033409: 89 44 29 22 17 14 12 11 9 8 8 7 6 6 5 5
loop(\(x,i).(i * 2),(x - ((2 + 2) * 2)),(x + 1))
A110805: 1 2 3 4 5 6 7 8 9 2 4 6 8 10 12 14
(loop(\(x,i).(((x + 1) * x) + 2),2,2) div (x + 1))
A033394: 74 37 24 18 14 12 10 9 8 7 6 6 5 5 4 4
((((if (x - 1) <= 0 then x else 2) + 2) * 2) * (x + 1))
A273315: 4 12 24 32 40 48 56 64 72 80 88 96 104 112 120 128
((loop(\(x,i).((x + 2) * x),2,2) - 2) div (x + 1))
A033398: 78 39 26 19 15 13 11 9 8 7 7 6 6 5 5 4
(loop(\(x,i).((x * x) + (i + 2)),2,2) div (x + 1))
A033373: 53 26 17 13 10 8 7 6 5 5 4 4 4 3 3 3
(loop(\(x,i).(x * x),(2 + 2),(2 + 2)) mod (x + 1))
A245971: 0 0 1 0 1 4 4 0 4 6 4 4 9 4 1 0
loop(\(x,i).((x * x) * (x * 2)),(2 + 2),(x + 1))
A139573: 1099511627776 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) div (x + 1))
A129794: 4 8 21 64 204 682 2340 8192 29127 104857 381300 1398101 5162220 19173961 71582788 268435456
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) mod (x + 1))
A066602: 0 0 1 0 4 4 4 0 1 6 4 4 4 2 4 0
(loop(\(x,i).(((i + x) + 1) * x),2,2) div (x + 1))
A033408: 88 44 29 22 17 14 12 11 9 8 8 7 6 6 5 5
(if (x mod 2) <= 0 then 1 else (((x * 2) * 2) * (x + 1)))
A271060: 1 8 1 48 1 120 1 224 1 360 1 528 1 728 1 960
(loop(\(x,i).((i + x) + (x * x)),2,2) div (x + 1))
A033378: 58 29 19 14 11 9 8 7 6 5 5 4 4 4 3 3
loop(\(x,i).(((x div (2 + 1)) * 2) - x),2,(x + 1))
A194513: ~1 0 ~1 0 1 0 1 0 1 0 1 0 1 2 1 2
(1 - ((if x <= 0 then 1 else ((2 - x) * 2)) div (x + 1)))
A343607: 0 0 1 2 2 2 3 3 3 3 3 3 3 3 3 3
(loop(\(x,i).(((2 + 1) * x) + 2),x,2) div (x + 1))
A225585: 2 4 8 20 48 121 312 820 2186 5904 16104 44286 122640 341640 956593 2690420
(((loop(\(x,i).(x * 2),x,2) + x) div 2) div (x + 1))
A054650: 1 1 1 2 3 5 9 16 28 51 93 171 315 585 1092 2048
loop(\(x,i).((((i * 2) - x) + 2) * x),2,(x + 1))
A157371: 9 8 9 0 ~55 ~216 ~567 ~1216 ~2295 ~3960 ~6391 ~9792 ~14391 ~20440 ~28215 ~38016
((loop(\(x,i).(i * x),x,1) div (x + 2)) div (x + 1))
A143357: 0 0 0 0 0 2 12 70 448 3298 27490 255876 2631876 29652480 363242880 4807626352
loop(\(x,i).((x * x) div 2),2,((x + 2) * (x + 1)))
A202107: 2 162 2592 20000 101250 388962 1229312 3359232 8201250 18301250 37949472 74030112 137149922 243101250 414720000 684204032
loop(\(x,i).((2 + 1) * x),x,((x + 2) * (x + 1)))
A006043: 2 18 108 540 2430 10206 40824 157464 590490 2165130 7794468 27634932 96722262 334807830 1147912560 3902902704
loop(\(x,i).((i + 2) * x),x,((x + 2) * (x + 1)))
A001804: 2 18 144 1200 10800 105840 1128960 13063680 163296000 2195424000 31614105600 485707622400 7933224499200 137305808640000 2510734786560000 48373490221056000
loop(\(x,i).(((i + 2) + 2) * x),(x * 2),(x + 1))
A091032: 1 60 5040 604800 99792000 21794572800 6102480384000 2134124568576000 912338253066240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) + (x div 2)) div (x + 1))
A065482: 2 2 3 4 6 11 18 32 57 102 186 341 630 1170 2185 4096
loop(\(x,i).((((i + 2) * 2) + x) * x),2,(x + 1))
A190577: 105 384 945 1920 3465 5760 9009 13440 19305 26880 36465 48384 62985 80640 101745 126720
(loop(\(x,i).((x + 2) * x),(2 + 1),x) div (x + 1))
A258808: 0 127 2186 16383 78124 279935 823542 2097151 4782968 9999999 19487170 35831807 62748516 105413503 170859374 268435455
((x - (2 div (if x <= 0 then (2 + 1) else x))) + (x + 1))
A267873: 1 1 4 7 9 11 13 15 17 19 21 23 25 27 29 31
(loop(\(x,i).((i + x) * (x + 1)),2,x) * (x + 1))
A120573: 6 60 330 1224 3510 8436 17850 34320 61254 103020 165066 254040 377910 546084 769530 1060896
loop(\(x,i).(((i * x) * (2 + 2)) * 2),x,(x + 1))
A034976: 1 16 384 12288 491520 23592960 1321205760 84557168640 6088116142080 487049291366400 42860337640243200 4114592413463347200 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,(2 + 2)) + x) div (x + 1))
A053639: 4 4 6 8 13 22 37 64 114 205 373 683 1261 2341 4370 8192
(loop(\(x,i).(((x + 1) * x) div 2),2,x) + (x + 1))
A004255: 1 3 9 25 60 126 238 414 675 1045 1551 2223 3094 4200 5580 7276
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(x + 1))
A053541: 1 20 300 4000 50000 600000 7000000 80000000 900000000 10000000000 110000000000 1200000000000 13000000000000 140000000000000 1500000000000000 16000000000000000
loop(\(x,i).((((i * 2) + 1) * x) * 2),x,(x + 1))
A001814: 1 12 180 3360 75600 1995840 60540480 2075673600 79394515200 3352212864000 154872234316800 7771770303897600 420970891461120000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - 1) * x) * 2),x,(x + 1))
A002690: 1 4 36 480 8400 181440 4656960 138378240 4670265600 176432256000 7374868300800 337903056691200 16838835658444800 906706535454720000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(((x + 2) * x) * (x + 1)))
A099764: 0 36 576 3600 14400 44100 112896 254016 518400 980100 1742400 2944656 4769856 7452900 11289600 16646400
loop(\(x,i).((2 div (i + 1)) + (x * 2)),x,(x + 1))
A052951: 1 5 14 36 88 208 480 1088 2432 5376 11776 25600 55296 118784 253952 540672
(loop(\(x,i).((2 + 1) * x),(x * 2),x) * (x + 1))
A116176: 0 18 486 8748 131220 1771470 22320522 267846264 3099363912 34867844010 383546284110 4142299868388 44059007691036 462619580755878 4804126415541810 49413871702715760
(x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A135481: 0 1 0 3 0 1 0 7 0 1 0 3 0 1 0 15
loop(\(x,i).((2 + 1) * x),((x mod 2) + x),(x + 1))
A154920: 1 18 27 324 405 4374 5103 52488 59049 590490 649539 6377292 6908733 66961566 71744535 688747536
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(x + 1))
A027473: 1 14 147 1372 12005 100842 823543 6588344 51883209 403536070 3107227739 23727920916 179936733613 1356446145698 10173346092735 75960984159088
loop(\(x,i).((((i + 1) * 2) + 1) * x),x,(x + 1))
A000457: 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 924984868933125 28887988983603750 959493919812553125 4611686018427387903
loop(\(x,i).((((i + 2) + 2) + 1) * x),x,(x + 1))
A062199: 1 12 126 1344 15120 181440 2328480 31933440 467026560 7264857600 119870150400 2092278988800 38532804710400 746943599001600 15205637551104000 324386934423552000
loop(\(x,i).((((i div 2) * 2) + 1) * x),x,(x + 1))
A111601: 1 2 9 36 225 1350 11025 88200 893025 8930250 108056025 1296672300 18261468225 255660555150 4108830350625 65741285610000
(loop(\(x,i).((x * 2) * (2 + 1)),x,x) * (x + 1))
A116164: 0 12 216 2592 25920 233280 1959552 15676416 120932352 906992640 6651279360 47889211392 339578044416 2377046310912 16456474460160 112844396298240
loop(\(x,i).(((2 - (i mod 2)) + 1) * x),x,(x + 1))
A027271: 1 4 18 48 180 432 1512 3456 11664 25920 85536 186624 606528 1306368 4199040 8957952
loop(\(x,i).((((i - 1) * i) + 1) * x),x,(x + 1))
A262011: 1 2 9 84 1365 34398 1244061 61136712 3920391657 317987323290 31830531061329 3854387943062748 555353062796290941 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * 2),x,x) * (x + 1))
A116166: 0 16 384 6144 81920 983040 11010048 117440512 1207959552 12079595520 118111600640 1133871366144 10720238370816 100055558127616 923589767331840 8444249301319680
loop(\(x,i).((((i + 2) + 2) + 2) * x),x,(x + 1))
A062148: 1 14 168 2016 25200 332640 4656960 69189120 1089728640 18162144000 319653734400 5928123801600 115598414131200 2365321396838400 50685458503680000 1135354270482432000
(loop(\(x,i).(((2 + 2) + 1) * x),x,x) * (x + 1))
A116156: 0 10 150 1500 12500 93750 656250 4375000 28125000 175781250 1074218750 6445312500 38085937500 222167968750 1281738281250 7324218750000
(if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else (x - 1))
A260316: 0 0 1 1 3 4 2 6 7 3 9 10 4 12 13 5
(x mod (if ((x mod (2 + 1)) - 1) <= 0 then 2 else (x - 1)))
A285515: 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1
loop(\(x,i).(((x - 1) * x) div (i + 1)),2,(x - 1))
A034827: 0 0 0 0 2 10 30 70 140 252 420 660 990 1430 2002 2730
loop(\(x,i).(x - ((x div (2 + 1)) * 2)),2,(x - 1))
A076622: 1 0 1 2 1 2 1 2 1 2 1 2 3 2 3 2
((loop(\(x,i).(i * x),(x - 1),x) * 2) * (x - 1))
A052609: 0 0 4 24 144 960 7200 60480 564480 5806080 65318400 798336000 10538035200 149448499200 2266635571200 36614882304000
loop(\(x,i).((x + 2) * 2),x,((x * 2) * (x - 1)))
A196514: 0 4 28 124 444 1404 4092 11260 29692 75772 188412 458748 1097724 2588668 6029308 13893628
(loop(\(x,i).((i + x) + x),(x - 1),x) - (x - 1))
A066368: 1 1 4 14 40 102 244 562 1264 2798 6124 13290 28648 61414 131044 278498
((if (x - 2) <= 0 then 2 else ((x + 2) * x)) + (x - 1))
A029876: 1 2 3 17 27
(loop(\(x,i).((x * 2) * 2),(x - 2),x) * (x - 1))
A052780: 0 0 2 24 192 1280 7680 43008 229376 1179648 5898240 28835840 138412032 654311424 3053453312 14092861440
((loop(\(x,i).(x * x),2,(x - 2)) * x) * (x - 1))
A182788: 0 0 0 6 192 1620 7680 26250 72576 172872 368640 721710 1320000 2283996 3773952 5997810
(loop(\(x,i).((2 + 1) * x),(x * 2),x) * (x - 1))
A128803: 0 0 162 4374 78732 1180980 15943230 200884698 2410616376 27894275208 313810596090 3451916556990 37280698815492 396531069219324 4163576226802902 43237137739876290
(loop(\(x,i).((x * 2) * (2 + 1)),x,x) * (x - 1))
A128800: 0 0 72 1296 15552 155520 1399680 11757312 94058496 725594112 5441955840 39907676160 287335268352 2037468266496 14262277865472 98738846760960
(loop(\(x,i).(((x * 2) * 2) * 2),x,x) * (x - 1))
A128802: 0 0 128 3072 49152 655360 7864320 88080384 939524096 9663676416 96636764160 944892805120 9070970929152 85761906966528 800444465020928 7388718138654720
(loop(\(x,i).(((2 + 2) + 1) * x),x,x) * (x - 1))
A128799: 0 0 50 750 7500 62500 468750 3281250 21875000 140625000 878906250 5371093750 32226562500 190429687500 1110839843750 6408691406250
(loop(\(x,i).(((x * x) + 2) * x),x,x) - (x - 1))
A262500: 1 3 1751
((if (x mod 2) <= 0 then 2 else ((x * x) * x)) + (x - 1))
A096621: 1 1 3 29
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),x,1)
A001022: 1 13 169 2197 28561 371293 4826809 62748517 815730721 10604499373 137858491849 1792160394037 23298085122481 302875106592253 3937376385699289 51185893014090757
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1)
A001020: 1 11 121 1331 14641 161051 1771561 19487171 214358881 2357947691 25937424601 285311670611 3138428376721 34522712143931 379749833583241 4177248169415651
loop(\(x,i).((((i + 2) * (2 + 1)) + 1) * x),x,1)
A051607: 1 10 130 2080 39520 869440 21736000 608608000 18866848000 641472832000 23734494784000 949379791360000 40823331028480000 1877873227310080000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 2) * (2 + 1)) - 1) * x),x,1)
A051605: 1 8 88 1232 20944 418880 9634240 250490240 7264216960 232454942720 8135922995200 309165073817600 12675768026521600 557733793166950400 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) * (2 + 1)) - 1) * x),x,1)
A008543: 1 5 55 935 21505 623645 21827575 894930575 42061737025 2229272062325 131527051677175 8549258359016375 606997343490162625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - ((x mod (2 + 1)) - 1)) * x),x,1)
A247007-A102736: 1 1 2 4 16 80 400 2800 22400 179200 1792000 19712000 216832000 2818816000 39463424000 552487936000
loop(\(x,i).((((i * i) * (2 + 1)) + 1) * x),x,1)
A277353: 1 4 52 1456 71344 5422144 591013696 87470027008 16881715212544 4119138511860736 1239860692070081536 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (i + 1)) + 1) * x),x,1)
A051617: 1 9 117 1989 41769 1044225 30282525 999323325 36974963025 1515973484025 68218806781125 3342721532275125 177164241210581625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (i + 1)) - 1) * x),x,1)
A034176: 1 7 77 1155 21945 504735 13627845 422463195 14786211825 576662261175 24796477230525 1165434429834675 59437155921568425 3269043575686263375 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) * (i + 1)) + 1) * x),x,1)
A277347: 1 5 65 1625 66625 4064125 345450625 39035920625 5660208490625 1024497736803125 226413999833490625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 1) * 2) + 1) * x),x,1)
A051581: 1 9 99 1287 19305 328185 6235515 130945815 3011753745 75293843625 2032933777875 58955079558375 1827607466309625 60311046388217625 2110886623587616875 4611686018427387903
loop(\(x,i).(((((i mod 2) + 1) * 2) + 1) * x),x,1)
A101553: 1 5 15 75 225 1125 3375 16875 50625 253125 759375 3796875 11390625 56953125 170859375 854296875
loop(\(x,i).(((((x * x) + 1) * 2) + 1) * x),x,1)
A238799: 1 5 265 37220045 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),x,1)
A001026: 1 17 289 4913 83521 1419857 24137569 410338673 6975757441 118587876497 2015993900449 34271896307633 582622237229761 9904578032905937 168377826559400929 2862423051509815793
loop(\(x,i).((x mod (((2 + 2) * 2) + 1)) + x),x,1)
A222011: 1 2 4 8
A007612: 1 2 4 8 16 23 28 29 31 35 43 50 55 56 58 62
loop(\(x,i).(((((i + 2) + 2) + 2) + 1) * x),x,1)
A049388: 1 8 72 720 7920 95040 1235520 17297280 259459200 4151347200 70572902400 1270312243200 24135932620800 482718652416000 10137091700736000 223016017416192000
loop(\(x,i).(((((i + 2) + 2) * 2) + 1) * x),x,1)
A051583: 1 11 143 2145 36465 692835 14549535 334639305 8365982625 225881530875 6550564395375 203067496256625 6701227376468625 234542958176401875 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * 2) * 2) + 1) * x),x,1)
A051621: 1 13 221 4641 116025 3364725 111035925 4108329225 168441498225 7579867420125 371413503586125 19684915690064625 1122040194333683625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * 2) * 2) - 1) * x),x,1)
A051619: 1 11 165 3135 72105 1946835 60351885 2112315975 82380323025 3542353890075 166490632833525 8491022274509775 467006225098037625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) * 2) * 2) - 1) * x),x,1)
A049210: 1 7 105 2415 74865 2919735 137227545 7547514975 475493443425 33760034483175 2667042724170825 232032717002861775 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x div ((x mod (2 + 2)) + 1)),x,x) + 1)
A140210: 1 1 1 1 5 1 1 1 9 5 1 1 13 1 5 1
loop(\(x,i).((((i * i) * (2 + 2)) + 1) * x),x,1)
A277354: 1 5 85 3145 204425 20646925 2993804125 589779412625 151573309044625 49261325439503125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * i) * (2 + 2)) - 1) * x),x,1)
A079484: 1 3 45 1575 99225 9823275 1404728325 273922023375 69850115960625 22561587455281875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,x) + 1)
A064750: 1 13 289 5185 82945 1244161 17915905 250822657 3439853569 46438023169 619173642241 8173092077569 106993205379073 1390911669927937 17974858503684097 231105323618795521
loop(\(x,i).(((x * 2) div ((x div 2) + 1)) * x),x,1)
A222011: 1 2 4 8
A026097: 1 2 4 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528
loop(\(x,i).((((2 + 2) * 2) * (x + 1)) - x),x,1)
A233326: 1 15 113 799 5601 39215 274513 1921599 13451201 94158415 659108913 4613762399 32296336801 226074357615 1582520503313 11077643523199
((loop(\(x,i).((x * 2) - 1),(x - 1),x) * x) + 1)
A048504: 1 2 7 28 101 326 967 2696 7177 18442 46091 112652 270349 638990 1490959 3440656
(loop(\(x,i).((i * x) * x),((x - 1) * x),x) + 1)
A109336: 1 2 33 4611686018427387903
(((if (x - 2) <= 0 then ((x * x) - 1) else x) * x) + 1)
A098748: 1 1 7 10 17 26 37 50 65 82 101 122 145 170 197 226
loop(\(x,i).(((((2 + 2) + 1) * i) - 1) * x),x,1)
A008546: 1 4 36 504 9576 229824 6664896 226606464 8837652096 388856692224 19053977918976 1028914807624704 60705973649857536 3885182313590882304 4611686018427387903 4611686018427387903
loop(\(x,i).((((i div 2) + 1) * (i + 1)) + x),x,1)
A049778: 1 3 9 17 32 50 78 110 155 205 271 343 434 532 652 780
loop(\(x,i).((((2 + 2) * 2) + (i + 1)) * x),x,1)
A049398: 1 10 110 1320 17160 240240 3603600 57657600 980179200 17643225600 335221286400 6704425728000 140792940288000 3097444686336000 71241227785728000 1709789466857472000
loop(\(x,i).((((2 + 2) * 2) div (i + 1)) * x),x,1)
A045534: 1 4 8 16 16 16 16 16 0 0 0 0 0 0 0 0
loop(\(x,i).((((i * i) * (i * i)) + 1) * x),x,1)
A255434: 1 2 34 2788 716516 448539016 581755103752 1397375759212304 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) + x),x,1)
A222011: 1 2 4 8
A102039: 1 2 4 8 16 22 24 28 36 42 44 48 56 62 64 68
loop(\(x,i).((((i + 2) * (2 + 1)) + 2) * x),x,1)
A051608: 1 11 154 2618 52360 1204280 31311280 908027120 29056867840 1016990374400 38645634227200 1584471003315200 69716724145868800 3276686034855833600 4611686018427387903 4611686018427387903
loop(\(x,i).((((i mod 2) * (2 + 1)) + 2) * x),x,1)
A268100: 1 5 10 50 100 500 1000 5000 10000 50000 100000 500000 1000000 5000000 10000000 50000000
loop(\(x,i).(((i * 2) - ((i + 1) mod 2)) * x),x,1)
A177373: 1 2 6 36 252 2520 27720 388080 5821200 104781600 1990850400 43798708800 1007370302400 26191627862400 707173952284800 21215218568544000
loop(\(x,i).(((((x + 2) + 2) * 2) * 2) + x),x,1)
A164785: 1 21 121 621 3121 15621 78121 390621 1953121 9765621 48828121 244140621 1220703121 6103515621 30517578121 152587890621
loop(\(x,i).((((1 - x) * (2 + 2)) * 2) - x),x,1)
A083294: 1 ~1 17 ~145 1313 ~11809 106289 ~956593 8609345 ~77484097 697356881 ~6276211921 56485907297 ~508373165665 4575358490993 ~41178226418929
(((loop(\(x,i).((x * x) + 2),2,2) * x) * x) + 1)
A158593: 1 39 153 343 609 951 1369 1863 2433 3079 3801 4599 5473 6423 7449 8551
loop(\(x,i).((i - ((1 - i) * (2 + 2))) * x),x,1)
A008548: 1 1 6 66 1056 22176 576576 17873856 643458816 26381811456 1213563326976 61891729675776 3465936861843456 211422148572450816 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x + 1) * x),2,2) * x) * x) + 1)
A158604: 1 43 169 379 673 1051 1513 2059 2689 3403 4201 5083 6049 7099 8233 9451
(((loop(\(x,i).((x + 2) * x),2,2) * x) * x) + 1)
A158776: 1 81 321 721 1281 2001 2881 3921 5121 6481 8001 9681 11521 13521 15681 18001
loop(\(x,i).((((2 + 2) mod (x + 2)) + 2) * x),x,1)
A081341: 1 3 18 108 648 3888 23328 139968 839808 5038848 30233088 181398528 1088391168 6530347008 39182082048 235092492288
loop(\(x,i).((i - ((1 - (i * 2)) * 2)) * x),x,1)
A047056: 1 3 24 312 5616 129168 3616704 119351232 4535346816 195019913088 9360955828224 496130658895872 28775578215960576 1812861427605516288 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,x) + 1)
A064748: 1 11 201 3001 40001 500001 6000001 70000001 800000001 9000000001 100000000001 1100000000001 12000000000001 130000000000001 1400000000000001 15000000000000001
((((if (x - 2) <= 0 then 1 else (x * 2)) + x) * x) + 1)
A281701: 1 3 7 28
loop(\(x,i).(((((2 + 2) + 1) * i) + 2) * x),x,1)
A034323: 1 7 84 1428 31416 848232 27143424 1004306688 42180880896 1982501402112 103090072909824 5876134155859968 364320317663318016 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 1) * i) div 2) * x),x,1)
A067550: 1 2 10 90 1260 25200 680400 23814000 1047816000 56582064000 3677834160000 283193230320000 25487390728800000 2650688635795200000 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) + 1) * i) * 2) + x),x,1)
A098931: 1 7 27 69 141 251 407 617 889 1231 1651 2157 2757 3459 4271 5201
loop(\(x,i).(((((2 + 2) * 2) + i) + 2) * x),x,1)
A051431: 1 11 132 1716 24024 360360 5765760 98017920 1764322560 33522128640 670442572800 14079294028800 309744468633600 7124122778572800 170978946685747200 4274473667143680000
loop(\(x,i).((((i div 2) + 2) * (i div 2)) + x),x,1)
A109622: 1 1 4 7 15 23 38 53 77 101 136 171 219 267 330 393
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x * x),1)
A076807: 1 12 20736 5159780352 184884258895036416 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * x),1)
A076782: 1 10 10000 1000000000 10000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - (i - 1)) * x),2,(x * x)) + 1)
A060893: 1 1 241 6481 65281 390001 1678321 5762401 16773121 43040161 99990001 214344241 429960961 815702161 1475750641 2562840001
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x * x),1)
A060759: 1 7 2401 40353607 33232930569601 4611686018427387903 4611686018427387903 4611686018427387903
(2 - loop(\(x,i).((x div 2) - (x * x)),(x * x),1))
A059232: 1 3 30 4611686018427387903
((loop(\(x,i).((2 + 1) * x),x,x) * (x * x)) + 1)
A168299: 1 4 73 730 5185 30376 157465 750142 3359233 14348908 59049001 235782658 918330049 3502727632 13124466937 48427561126
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,x) + 1)
A050919: 1 8 99 1030 9605 84036 705895 5764802 46118409 363182464 2824752491 21750594174 166095446413 1259557135292 9495123019887 71213422649146
((if (x - 2) <= 0 then (x + 1) else ((x * x) * x)) + 1)
A100604: 2 3 4 28
loop(\(x,i).((((i * x) * x) * (x * x)) * x),x,1)
A164335: 1 1 2 96 32614907904 4611686018427387903
loop(\(x,i).(((((i + 2) + 1) * i) + x) * x),x,1)
A051481: 1 5 75 6975 48845925 2385926342942625 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * i) * x),x,1)
A051188: 1 7 98 2058 57624 2016840 84707280 4150656720 232436776320 14643516908160 1025046183571200 78928556134982400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 1) * 2) + 1) * i) * x),x,1)
A302910: 1 5 70 1890 83160 5405400 486486000 57891834000 8799558768000 1663116607152000 382516819644960000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 2) + 1) * i) * x),x,1)
A010794: 1 6 84 2016 72576 3628800 239500800 20118067200 2092278988800 263627152588800 39544072888320000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i mod 2) * 2) - 1) * i) * x),x,1)
A165233: 1 1 ~2 ~6 24 120 ~720 ~5040 40320 362880 ~3628800 ~39916800 479001600 6227020800 ~87178291200 ~1307674368000
loop(\(x,i).((((2 + 2) * (i + 1)) + i) * x),x,1)
A034301: 1 9 126 2394 57456 1666224 56651616 2209413024 97214173056 4763494479744 257228701906176 15176493412464384 971295578397720576 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 2) + 2) * i) * x),x,1)
A010795: 1 7 112 3024 120960 6652800 479001600 43589145600 4881984307200 659067881472000 105450861035520000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * 2) * 2) + i) * x),x,1)
A051689: 1 13 234 5382 150696 4972968 188972784 8125829712 390039826176 20672110787328 1198982425665024 75535892816896512 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * i) - 2) * i) * x),x,1)
A084941: 1 1 8 168 6720 436800 41932800 5577062400 981562982400 220851671040000 61838467891200000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i - 2) * i) + 2) * i) + x),x,1)
A228394: 1 2 6 21 61 146 302 561 961 1546 2366 3477 4941 6826 9206 12161
((((1 - x) * x) div 2) + loop(\(x,i).(i * x),x,1))
A114311: 1 1 1 3 18 110 705 5019 40292 362844 3628755 39916745 479001534 6227020722 87178291109 1307674367895
loop(\(x,i).(((((i + 2) * 2) + i) * i) * x),x,1)
A302912: 1 7 140 5460 349440 33196800 4381977600 766846080000 171773521920000 47924812615680000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(0 - loop(\(x,i).((x * 2) - ((i mod 2) * i)),x,1))
A106157: ~1 ~1 ~2 ~1 ~2 1 2 11 22 53 106 223 446 905 1810 3635
((x - (if (x - ((2 + 1) * 2)) <= 0 then 1 else 0)) mod 2)
A285592-A276793: 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1
((x * 2) - (if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2))
A187333: 0 0 2 4 6 10 10 12 14 16 20 20 22 24 26 30
((x mod (x - (if (x mod (2 + 2)) <= 0 then 2 else 0))) + 2)
A045818: 2 2 2 2 2 2 2 2 4 2 2 2 4 2 2 2
((x * x) - (x - (if (x mod (2 + 2)) <= 0 then 0 else 2)))
A330022: 0 2 4 8 12 22 32
((if ((2 + 2) mod (x + 2)) <= 0 then (x + 2) else 0) + 2)
A236213: 4 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2
(x - (if ((x div (2 + 2)) - 2) <= 0 then 1 else (0 - 2)))
A108155: ~1 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17
(x mod (if ((x mod (2 + 1)) - 1) <= 0 then 2 else (0 - 2)))
A131734: 0 1 0 1 0 ~1 0 1 0 1 0 ~1 0 1 0 1
(x mod (if ((x div (2 + 2)) mod 2) <= 0 then 2 else (0 - 2)))
A188510: 0 1 0 1 0 ~1 0 ~1 0 1 0 1 0 ~1 0 ~1
(2 - (if x <= 0 then 1 else ((x div (2 + 2)) div (0 - 2))))
A130255-A082527: 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4
(if x <= 0 then 1 else ((x mod 2) - ((x div 2) div (0 - 2))))
A033922: 1 1 1 2 1 2 2 3 2 3 3 4 3 4 4 5
((if (x - 2) <= 0 then 1 else x) - ((x div 2) div (0 - 2)))
A064318: 1 1 2 4 5 6 8 9 10 11 13 14 15 16 18 19
loop(\(x,i).(i * x),x,(x - ((x * x) div (0 - 2))))
A152661: 0 2 8 48 288 2160 17280 161280 1612800 18144000 217728000 2874009600 40236134400 610248038400 9763968614400 167382319104000
(2 - (loop(\(x,i).(((x div 2) + x) - 2),x,0) div 2))
A112088: 2 3 5 7 11 16 24 36 54 81 122 183 274 411 617 925
((((x * x) * 2) * (2 + 1)) - (if x <= 0 then 0 else 2))
A163433: 0 4 22 52 94 148 214 292 382 484 598 724 862 1012 1174 1348
(((x + 1) * x) - ((x mod 2) - (if x <= 0 then 0 else 2)))
A335048: 0 3 8 13 22 31 44 57 74 91 112 133 158 183 212 241
(loop(\(x,i).(((i + x) * (i + 1)) + x),x,0) div 2)
A080047: 0 1 7 41 256 1807 14477 130321 1303246 14335751 172029067 2236377937 31309291196 469639368031 7514229888601 127741908106337
(((((x + 1) div 2) div 2) + (if x <= 0 then 0 else 1)) * 2)
A177692: 0 2 2 4 4 4 4 6 6 6 6 8 8 8 8 10
(((((x + 2) + 2) * 2) - (if x <= 0 then 0 else 1)) * 2)
A308607: 16 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74
((loop(\(x,i).((i - (x - 1)) * i),x,0) + 1) * 2)
A051398: 2 6 6 14 ~6 102 ~514 3726 ~29646 267014 ~2669898 29369166 ~352429654 4581585894 ~64142202066 962133031502
(if (x mod (((2 + 2) mod (x + 1)) + 1)) <= 0 then 1 else 2)
A043556: 1 1 1 1 2 1 2 2 2 2 1 2 2 2 2 1
(if (x mod ((2 - (x div (0 - 2))) + 1)) <= 0 then 1 else 2)
A174664: 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2
(x mod (if (x mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 2))
A323239: 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1
(if (x mod (((x - 1) mod (2 + 2)) + 1)) <= 0 then 1 else 2)
A331284-A327924-A214575-A177991-A120888: 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1
(if (x mod (((x + 2) mod (2 + 2)) + 1)) <= 0 then 1 else 2)
A233138: 1 2 1 2 2 2 1 2 2 2 1 2 1 2 1 2
(if (((x div 2) + 2) mod ((2 + 2) + 1)) <= 0 then 1 else 2)
A179529: 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2
(x mod (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 1 else 2))
A284751: 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1
(if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2)
A277070-A237442-A094840-A035218: 1 1 1 1 2 1 2 1 1 2 2 1 2 2 2 1
(if ((x - 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2)
A270641: 1 1 1 1 2 1 2 1 2 2 1 2 2 1 2 2
(if (((x div (0 - 2)) * x) mod (2 + 1)) <= 0 then 1 else 2)
A317960: 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1
((loop(\(x,i).((x * 2) * 2),x,(2 + 1)) + 1) * 2)
A140788: 8 26 98 386 1538 6146 24578 98306 393218 1572866 6291458 25165826 100663298 402653186 1610612738 6442450946
(if (((x mod 2) - 2) + (x div (2 + 1))) <= 0 then 1 else 2)
A297776-A043559-A043535: 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2
(if ((x - (2 + 2)) * (x mod (2 + 1))) <= 0 then 1 else 2)
A274353: 1 1 1 1 1 2 1 2 2 1 2 2 1 2 2 1
(if x <= 0 then 1 else ((((x * x) * (2 + 1)) + 1) * 2))
A005897: 1 8 26 56 98 152 218 296 386 488 602 728 866 1016 1178 1352
(if x <= 0 then 1 else ((((x * x) div (2 + 1)) + 1) * 2))
A222011: 1 2 4 8
A053799: 1 2 4 8 12 18 26 34 44 56 68 82 98 114 132 152
(loop(\(x,i).((x div 2) + 2),((x div 2) - 1),1) * 2)
A071809: 2 2 2 2 4 4 6 6 6 6 6 6 6 6 6 6
(if ((((2 + 2) * 2) + 1) mod (x + 1)) <= 0 then 1 else 2)
A055027: 1 2 1 2 2 2 2 2 1 2 2 2 2 2 2 2
(if (((2 + 2) * (2 + 1)) mod (x + 1)) <= 0 then 1 else 2)
A297773-A043532: 1 1 1 1 2 1 2 2 2 2 2 1 2 2 2 2
(if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then 1 else 2)
A169695: 1 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 2)
A043529: 1 1 2 1 2 2 2 1 2 2 2 2 2 2 2 1
(loop(\(x,i).(x * 2),x,((2 mod (x + 1)) + 1)) div 2)
A082505: 0 1 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152
((loop(\(x,i).((x * x) * x),2,(x + 1)) + 1) div 2)
A191496: 1 256 9842 131072 976563 5038848 20176804 67108864 193710245 500000000 1178973846 2579890176 5302249687 10330523392 19221679688 34359738368
(loop(\(x,i).(((i mod 2) + 2) * x),(x + 1),1) div 2)
A026565: 1 3 9 18 54 108 324 648 1944 3888 11664 23328 69984 139968 419904 839808
((loop(\(x,i).((i * x) * x),(x * x),1) + 1) div 2)
A107739: 1 1 288 4611686018427387903
((x mod ((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1)) div 2)
A182581: 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0
(if (x - 2) <= 0 then 0 else ((x div ((0 - 2) - 1)) mod 2))
A341613: 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1
((((x div 2) + 1) div ((if x <= 0 then 0 else 2) + 1)) mod 2)
A138711: 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0
(if ((x mod ((x div (2 + 1)) + 1)) - 2) <= 0 then 1 else 2)
A297780-A043563-A043539: 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + 2)
A091799: 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 3
(if ((x div (((x mod 2) + 2) + 1)) - 2) <= 0 then 1 else 2)
A297779-A261913-A261675-A146879-A094876-A080462-A043562-A043538-A036485: 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2
(if (x mod 2) <= 0 then 1 else ((((2 + 1) * 2) + 1) * 2))
A002393: 1 14 1
(loop(\(x,i).(x * x),x,(((2 + 1) * 2) + 1)) + 2)
A152580: 9 51 2403 5764803 33232930569603 4611686018427387903
(if (((x * 2) mod ((x div 2) + 1)) - 2) <= 0 then 1 else 2)
A297778-A088601-A047726-A043561-A043537-A030547: 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2
(((x + 1) mod (((if x <= 0 then 0 else 2) * 2) + 1)) mod 2)
A212126-A144605: 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1
(((x - 2) mod (((if x <= 0 then 0 else 2) * 2) + 1)) mod 2)
A037907: 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1
(x div ((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 2))
A176044: 0 0 0 0 1 1 1 1 2 2 3 3 4 4 4 5
(if ((x mod (((x mod 2) + 2) + 2)) - 2) <= 0 then 1 else 2)
A235748: 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1
(if ((x div (((x mod 2) + 2) * 2)) - 2) <= 0 then 1 else 2)
A337144-A288739-A184240-A167967: 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1
(if (((x div ((x mod 2) + 2)) - 2) - 2) <= 0 then 1 else 2)
A049099: 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 2
(loop(\(x,i).(x * 2),(x - ((2 + 2) * 2)),1) div 2)
A009714: 0 0 0 0 0 0 0 0 0 1 2 4 8 16 32 64
(if ((x + 2) mod ((x div (2 + 2)) + 2)) <= 0 then 1 else 2)
A076371: 1 2 1 2 1 2 2 1 2 2 1 2 2 1 2 2
(if ((x - 2) mod ((x mod (2 + 2)) + 2)) <= 0 then 1 else 2)
A161974: 1 2 1 2 1 1 1 1 1 2 1 2 1 2 1 2
(x - (x mod (if (((x div 2) - 2) - 2) <= 0 then 1 else 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A228722: 0 1 2 3 4 5 6 7 8 9 10 10 12 12 14 14
((x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1)) mod 2)
A285383-A259044: 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1
(if x <= 0 then 1 else (((x + 1) div ((2 + 2) + 1)) + 2))
A247189: 1 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5
(loop(\(x,i).(x * 2),x,1) - (((2 + 2) + 1) * 2))
A246168: ~9 ~8 ~6 ~2 6 22 54 118 246 502 1014 2038 4086 8182 16374 32758
loop(\(x,i).((x * 2) + 1),x,(((2 + 2) + 1) * 2))
A086225: 10 21 43 87 175 351 703 1407 2815 5631 11263 22527 45055 90111 180223 360447
loop(\(x,i).((x * x) - 2),x,(((2 + 2) + 1) * 2))
A135927: 10 98 9602 92198402 8500545331353602 4611686018427387903 4611686018427387903
(if ((((x div 2) + 1) * x) mod (2 + 2)) <= 0 then 1 else 2)
A103587: 1 2 1 2 1 2 1 1 1 2 1 2 1 2 1 1
(((if x <= 0 then 1 else x) - ((x div (2 + 2)) - 1)) div 2)
A026405: 1 1 1 2 2 2 3 3 3 4 4 5 5 5 6 6
((loop(\(x,i).((2 + 1) * x),x,(2 + 2)) - 1) * 2)
A171495: 6 22 70 214 646 1942 5830 17494 52486 157462 472390 1417174 4251526 12754582 38263750 114791254
(if x <= 0 then 1 else ((((x * x) * (2 + 2)) + 1) * 2))
A008527: 1 10 34 74 130 202 290 394 514 650 802 970 1154 1354 1570 1802
(if (x mod (((2 + 2) mod (x + 2)) + 2)) <= 0 then 1 else 2)
A160242: 1 2 1 2 2 2 1 2 2 2 2 2 1 2 2 2
(if (((x * x) - 2) mod ((x + 2) + 2)) <= 0 then 1 else 2)
A276788: 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2
loop(\(x,i).(x * x),1,((((x * 2) * 2) + 1) * 2))
A017090: 4 100 324 676 1156 1764 2500 3364 4356 5476 6724 8100 9604 11236 12996 14884
loop(\(x,i).(x * x),2,((((x * 2) * 2) + 1) * 2))
A017092: 16 10000 104976 456976 1336336 3111696 6250000 11316496 18974736 29986576 45212176 65610000 92236816 126247696 168896016 221533456
((x - (2 div loop(\(x,i).i,((x div 2) - 2),1))) + 2)
A084689: 0 1 2 3 4 5 6 7 9
A039271: 0 1 2 3 4 5 6 7 9 10 12 13 14 15 16 17
(loop(\(x,i).(x * 2),x,(((x mod 2) + 2) + 1)) div 2)
A231407: 1 4 6
A133572: 1 4 6 16 24 64 96 256 384 1024 1536 4096 6144 16384 24576 65536
(loop(\(x,i).((x * 2) * 2),(x + 1),(2 + 1)) + 2)
A205354: 14 50 194 770 3074 12290 49154 196610 786434 3145730 12582914 50331650 201326594 805306370 3221225474 12884901890
loop(\(x,i).(x * x),(((x * x) - 1) div (2 + 1)),2)
A079556: 2 2 4 16 4294967296
((((x div 2) - (if x <= 0 then 0 else 2)) div (2 + 1)) mod 2)
A138712: 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1
((if x <= 0 then 1 else (((x + 1) div 2) div (2 + 1))) mod 2)
A138885: 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0
(if x <= 0 then 1 else ((((x + 1) div 2) div (2 + 1)) + 2))
A168255: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4
((((if x <= 0 then 0 else (x + 2)) + 2) * (2 + 1)) div 2)
A063551: 3 7 9 10 12 13 15
((((if x <= 0 then 0 else (x + 2)) * 2) div (2 + 1)) * 2)
A273308: 0 4 4 6 8 8 10 12 12 14 16 16 18 20 20 22
((if x <= 0 then 1 else (((x * 2) * 2) * (2 + 1))) + 2)
A063098: 3 14 26 38 50 62 74 86 98 110 122 134 146 158 170 182
((if (x - 2) <= 0 then x else ((x + 2) div (2 + 1))) * 2)
A018838: 0 2 4 2 4 4 4 6 6 6 8 8 8 10 10 10
loop(\(x,i).(x * x),1,(((x * 2) * (2 + 1)) + 2))
A016934: 4 64 196 400 676 1024 1444 1936 2500 3136 3844 4624 5476 6400 7396 8464
loop(\(x,i).(x * x),2,(((x * 2) * (2 + 1)) + 2))
A016936: 16 4096 38416 160000 456976 1048576 2085136 3748096 6250000 9834496 14776336 21381376 29986576 40960000 54700816 71639296
(loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1)) + 2)
A134752: 5 29 245 2189 19685 177149 1594325 14348909 129140165 1162261469 10460353205 94143178829 847288609445 7625597484989 68630377364885 617673396283949
(if (x - 1) <= 0 then x else (((x div 2) div (2 + 1)) + 2))
A064601-A064557: 0 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4
(if (x - 1) <= 0 then x else (((x div 2) mod (2 + 1)) div 2))
A071986: 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0
((if x <= 0 then 1 else ((2 - (x mod 2)) * (2 + 1))) + 2)
A136188: 3 5 8 5 8 5 8 5 8 5 8 5 8 5 8 5
loop(\(x,i).((x * x) - 2),(x * 2),((2 + 1) * 2))
A219165: 6 1154 1773462177794 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + 1),x,((2 + 1) * 2))
A323824: 6 25 101 405 1621 6485 25941 103765 415061 1660245 6640981 26563925 106255701 425022805 1700091221 6800364885
loop(\(x,i).(((x * x) * 2) - 1),x,((2 + 1) * 2))
A242232: 6 71 10081 203253121 82623662392481281 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) + 1),x,((2 + 1) * 2))
A238055: 6 19 58 175 526 1579 4738 14215 42646 127939 383818 1151455 3454366 10363099 31089298 93267895
loop(\(x,i).(((2 + 1) * x) - 1),x,((2 + 1) * 2))
A199113: 6 17 50 149 446 1337 4010 12029 36086 108257 324770 974309 2922926 8768777 26306330 78918989
loop(\(x,i).(((x - 1) * x) - 1),x,((2 + 1) * 2))
A144746: 6 29 811 656909 431528777371 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div 2) + x) + 1),x,((2 + 1) * 2))
A302748: 6 10 16 25 38 58 88 133 200 301 452 679 1019 1529 2294 3442
(loop(\(x,i).((x - (i - 1)) * 2),x,(2 + 1)) * 2)
A295904: 6 12 20 32 52 88 156 288 548 1064 2092 4144 8244 16440 32828 65600
(loop(\(x,i).((i mod 2) + (x * 2)),x,(2 + 1)) div 2)
A052997: 1 3 7 14 29 58 117 234 469 938 1877 3754 7509 15018 30037 60074
(if ((x div 2) - 2) <= 0 then x else ((x - (2 + 1)) * 2))
A004272: 0 1 2 3 4 5 6 8 10 12 14 16 18 20 22 24
((if (x mod (2 + 2)) <= 0 then 1 else (x div (2 + 1))) mod 2)
A267776: 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1
((if ((x div 2) mod 2) <= 0 then 1 else (x div (2 + 1))) mod 2)
A298941-A295281-A267778: 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1
((x mod (if (x - 2) <= 0 then 1 else (x div (2 + 1)))) div 2)
A193095-A036874: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0
(if x <= 0 then 1 else (((x * 2) - (x div (2 + 1))) * 2))
A063087: 1 4 8 10 14 18 20 24 28 30 34 38 40 44 48 50
((if (x mod 2) <= 0 then 1 else x) mod ((x mod (2 + 1)) + 2))
A133721-A124389-A066636-A061680: 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1
loop(\(x,i).(1 - (x * 2)),x,((x mod (2 + 1)) div 2))
A157241: 0 1 3 3 ~5 ~21 ~21 43 171 171 ~341 ~1365 ~1365 2731 10923 10923
(loop(\(x,i).((x * x) * x),(x * x),(2 + 1)) + 2)
A187605: 5 29 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x + 1) * x) div 2),x,2) - 1) * 2)
A159860: 2 4 10 40 460 53590 718052410 128899816953780640 4611686018427387903 4611686018427387903
(if (((2 + 2) * (2 + 1)) mod (x + 2)) <= 0 then 1 else 2)
A214574: 1 1 1 2 1 2 2 2 2 2 1 2 2 2 2 2
(if ((((x * x) div 2) + 2) mod (x + 2)) <= 0 then 1 else 2)
A118916: 1 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2
(loop(\(x,i).(x * 2),(x - 1),((x + 2) + 1)) div 2)
A045623: 1 2 5 12 28 64 144 320 704 1536 3328 7168 15360 32768 69632 147456
(loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) div 2)
A112415: 12 60 180 420 840 1512 2520 3960 5940 8580 12012 16380 21840 28560 36720 46512
((1 mod (if (x mod (2 + 1)) <= 0 then (x - 2) else 1)) mod 2)
A214772: 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1
(loop(\(x,i).(((i + x) + 1) * 2),(x - 2),1) div 2)
A247188: 0 0 0 3 9 22 49 104 215 438 885 1780 3571 7154 14321 28656
(((x mod (2 + 1)) div 2) + (if (x - 2) <= 0 then 1 else 2))
A239141: 1 1 2 2 2 3 2 2 3 2 2 3 2 2 3 2
loop(\(x,i).(((x * 2) + 1) * 2),((x * 2) + 1),2)
A325911: 10 170 2730 43690 699050 11184810 178956970 2863311530 45812984490 733007751850 11728124029610 187649984473770 3002399751580330 48038396025285290 768614336404564650 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),((x * 2) + 1),2)
A013735: 16 1024 65536 4194304 268435456 17179869184 1099511627776 70368744177664 4503599627370496 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(((x * 2) + 1) * 2))
A016832: 256 1679616 100000000 1475789056 11019960576 54875873536 208827064576 656100000000 1785793904896 4347792138496 9682651996416 20047612231936 39062500000000 72301961339136
loop(\(x,i).((x * x) * x),1,(((x * 2) + 1) * 2))
A016827: 8 216 1000 2744 5832 10648 17576 27000 39304 54872 74088 97336 125000 157464 195112 238328
loop(\(x,i).((x * x) * x),2,(((x * 2) + 1) * 2))
A016833: 512 10077696 1000000000 20661046784 198359290368 1207269217792 5429503678976 19683000000000 60716992766464 165216101262848 406671383849472 922190162669056 1953125000000000 3904305912313344
loop(\(x,i).(((x + 1) * x) - i),((x * 2) - 1),2)
A176117: 2 5 809
(x - (if ((x div 2) - 2) <= 0 then ((x div 2) - 1) else 2))
A079685: 1 2 2 3 3 4 4 5 6
((((if (x - 2) <= 0 then 1 else x) * (x div 2)) + 1) mod 2)
A188192: 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0
(loop(\(x,i).(x * 2),x,((2 - (x mod 2)) + 1)) div 2)
A122756: 1 2 6 8 24 32 96 128 384 512 1536 2048 6144 8192 24576 32768
(((loop(\(x,i).(x * 2),x,2) + (x mod 2)) - 1) * 2)
A250554: 2 8 14 32 62 128 254 512 1022 2048 4094 8192 16382 32768 65534 131072
(loop(\(x,i).((((i + 1) div 2) * x) + 1),x,1) + 2)
A215176: 3 4 5 9 17 48 141 559 2231 11148 55733 334389 2006325 14044264 98309837 786478683
(loop(\(x,i).((((i + x) * 2) + x) + 1),x,1) * 2)
A003993: 2 12 46 152 474 1444 4358 13104 39346 118076 354270 1062856 3188618 9565908 28697782 86093408
(loop(\(x,i).((((i * i) * 2) + x) + 1),x,1) * 2)
A100504: 2 8 26 64 130 232 378 576 834 1160 1562 2048 2626 3304 4090 4992
(((((2 + 2) * 2) div (if x <= 0 then 1 else x)) + 1) mod 2)
A330985: 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1
(((((2 + 2) * 2) mod (if x <= 0 then 1 else x)) + 1) mod 2)
A071038: 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1
(((((x + 2) + 2) * (if x <= 0 then 1 else x)) - 1) div 2)
A172411: 1 2 5 10
A179207: 1 2 5 10 15 22 29 38 47 58 69 82 95 110 125 142
(((1 - x) mod loop(\(x,i).((i * x) + 1),x,1)) + 2)
A303150: 2 2 6 16 64
((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + 1) * 2)
A051756: 4 6 8 10 12 16 18 20
A053226: 4 6 8 10 12 16 18 20 22 24 26 28 30 32 34 36
(loop(\(x,i).((((x + 2) + 2) + 2) * 2),x,1) div 2)
A100206: 0 7 20 46 98 202 410 826 1658 3322 6650 13306 26618 53242 106490 212986
(loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,1) div 2)
A232801: 0 1 1 3 4 9 13 27 40 81 121 243 364 729 1093 2187
(loop(\(x,i).((((x * x) + i) div 2) + 2),x,1) div 2)
A327230: 0 1 3 14 198
(loop(\(x,i).((((i mod 2) * 2) + x) * 2),x,1) + 2)
A340627: 3 8 14 30 58 118 234 470 938 1878 3754 7510 15018 30038 60074 120150
(1 - (x mod ((x - loop(\(x,i).(x * 2),x,1)) * 2)))
A131959: 1 2 3 8
A132730: 1 2 3 8 21 50 111 236 489 998 2019 4064 8157 16346 32727 65492
(((if x <= 0 then 1 else (((x * x) + 2) * x)) + 1) div 2)
A139629: 1 2 6 17
loop(\(x,i).(((x * x) * (x - 1)) + 1),(x + 1),2)
A231830: 5 101 1020101 1061522231810040101 4611686018427387903
((loop(\(x,i).((i - x) * 2),x,1) div (x + 1)) mod 2)
A175192: 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0
((loop(\(x,i).(x * x),2,(x + 1)) * (x + 1)) div 2)
A191902: 0 16 121 512 1562 3888 8403 16384 29524 50000 80525 124416 185646 268912 379687 524288
(loop(\(x,i).((x * 2) * 2),(x - 1),(x + 1)) div 2)
A292044: 0 1 6 32 160 768 3584 16384 73728 327680 1441792 6291456 27262976 117440512 503316480 2147483648
(((if x <= 0 then 2 else ((x + 1) div 2)) * (x + 1)) div 2)
A189889: 1 1 1 4 5 9 10 16 18 25 27 36 39 49 52 64
(loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) div 2)
A066164: 180 360 540 720 900 1080 1260 1440 1620 1800 1980 2160 2340 2520 2700 2880
(if x <= 0 then 1 else (((x * 2) - (2 mod (x + 1))) * 2))
A003829: 1 4 4 8 12 16
loop(\(x,i).(x * x),2,(((x + 2) * (x + 1)) div 2))
A059977: 1 81 1296 10000 50625 194481 614656 1679616 4100625 9150625 18974736 37015056 68574961 121550625 207360000 342102016
loop(\(x,i).((i * x) * x),((x + 2) * (x + 1)),2)
A123238: 32 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - 1) * x),1,((x + 1) * 2))
A069072: 6 60 210 504 990 1716 2730 4080 5814 7980 10626 13800 17550 21924 26970 32736
loop(\(x,i).(((x div 2) * x) div 2),2,((x + 1) * 2))
A212766: 0 4 18 64 150 324 588 1024 1620 2500 3630 5184 7098 9604 12600 16384
(loop(\(x,i).(x * x),2,(x + 2)) - ((x + 1) * 2))
A269495: 14 77 250 617 1286 2389 4082 6545 9982 14621 20714 28537 38390 50597 65506 83489
(if x <= 0 then 1 else (((x div 2) + 2) * ((x + 1) div 2)))
A035106: 1 2 3 6 8 12 15 20 24 30 35 42 48 56 63 72
loop(\(x,i).(((i mod 2) + i) * x),x,((x + 1) div 2))
A122693: 0 2 4 32 128 1152 6912 73728 589824 7372800 73728000 1061683200 12740198400 208089907200 2913258700800 53271016243200
loop(\(x,i).i,(x div ((2 + 2) + 1)),((x + 1) mod 2))
A025811: 1 0 1 0 1 1 1 1 1 1 2 2 2 2 2 3
(if ((x mod (2 + 1)) - 1) <= 0 then 2 else ((x + 1) mod 2))
A285930: 2 2 1 2 2 0 2 2 1 2 2 0 2 2 1 2
loop(\(x,i).((0 - x) * 2),(x div 2),((x + 1) mod 2))
A077966: 1 0 ~2 0 4 0 ~8 0 16 0 ~32 0 64 0 ~128 0
loop(\(x,i).((2 + 1) * x),(x div 2),((x + 1) mod 2))
A254006: 1 0 3 0 9 0 27 0 81 0 243 0 729 0 2187 0
loop(\(x,i).(((x * x) + (2 + 1)) * x),(x + 1),2)
A145188: 14 2786 21624372014 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - 1),x) * (x + 1)) div 2)
A001788: 0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080
(((loop(\(x,i).(x * 2),x,2) - x) * (x + 1)) div 2)
A048470: 1 3 9 26 70 177 427 996 2268 5075 11209 24510 53170 114597 245655 524168
((loop(\(x,i).((x * x) * x),2,x) * (x + 1)) div 2)
A170783: 0 1 768 39366 655360 5859375 35271936 161414428 603979776 1937102445 5500000000 14147686146 33538572288 74231495611 154957850880 307546875000
((loop(\(x,i).(x * x),2,(x * x)) * (x + 1)) div 2)
A168675: 0 1 384 13122 163840 1171875 5878656 23059204 75497472 215233605 550000000 1286153286 2794881024 5710115047 11068417920 20503125000
(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div 2)
A011926: 0 0 0 0 1 7 22 52 105 189 315 495 742 1072 1501 2047
(if x <= 0 then 1 else ((((x * x) div 2) * (x - 1)) + 2))
A100605: 1 2 4 10 26
(((loop(\(x,i).(i * x),x,x) div 2) * (x - 1)) div 2)
A001809: 0 0 1 9 72 600 5400 52920 564480 6531840 81648000 1097712000 15807052800 242853811200 3966612249600 68652904320000
((((if x <= 0 then 1 else x) mod 2) * 2) + ((x - 1) div 2))
A267182: 1 2 0 3 1 4 2 5 3 6 4 7 5 8 6 9
(loop(\(x,i).(((i + 2) * x) div 2),x,(x - 1)) + 2)
A096122: 1 2 4 17 62
((0 - x) mod loop(\(x,i).((i + x) + x),(x - 1),2))
A088110: 0 1 3 9
A244331: 0 1 3 9 23 53 115 241 495 1005 2027 4073 8167 16357 32739 65505
((((2 + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2))
A040156: 13 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26
((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2))
A040110: 11 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22
(((((2 + 2) * 2) * 2) + 1) * (if x <= 0 then 1 else 2))
A040272: 17 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34
(((((2 + 1) * 2) + 1) * 2) * (if x <= 0 then 1 else 2))
A040182: 14 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28
((((x + 2) * (x + 1)) div 2) + (if x <= 0 then 1 else 2))
A272719: 2 5 8 12 17
((((x div 2) * (x + 1)) mod 2) + (if x <= 0 then 1 else 2))
A186181: 1 2 3 2 2 2 3 2 2 2 3 2 2 2 3 2
(((x - ((x div 2) mod 2)) div 2) + (if x <= 0 then 1 else 2))
A092038: 1 2 2 3 4 4 4 5 6 6 6 7 8 8 8 9
((((2 - (x mod 2)) * 2) * 2) * (if x <= 0 then 1 else 2))
A040057: 8 8 16 8 16 8 16 8 16 8 16 8 16 8 16 8
((((x div 2) + x) div (2 + 2)) + (if x <= 0 then 1 else 2))
A245473: 1 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7
((((x * x) * (x + 2)) div 2) + (if x <= 0 then 1 else 2))
A188545: 1 3 10
A231116: 1 3 10 24
((((x * x) * (x div 2)) div 2) + (if x <= 0 then 1 else 2))
A192335: 1 2 4 6 18
((x mod ((2 - (x mod 2)) * 2)) + (if x <= 0 then 1 else 2))
A164358: 1 3 4 3 2 3 4 3 2 3 4 3 2 3 4 3
((((x div (2 + 2)) * x) div 2) + (if x <= 0 then 1 else 2))
A096323: 1 2 2 2 4 4 5
((x div 2) - ((1 - (x * 2)) * (if x <= 0 then 1 else 2)))
A063289: ~1 2 7 11 16 20 25 29 34 38 43 47 52 56 61 65
(((((2 + 2) + 1) * x) * x) + (if x <= 0 then 1 else 2))
A010001: 1 7 22 47 82 127 182 247 322 407 502 607 722 847 982 1127
(loop(\(x,i).((x mod ((2 + 2) + 1)) + x),x,1) * 2)
A002081: 2 4 8 16 22 24 28 36 42 44 48 56 62 64 68 76
(loop(\(x,i).(i - (((x div 2) mod 2) + x)),x,1) div 2)
A162350: 0 0 1 0 2 0 2 1 2 2 3 2 4 2 4 3
(loop(\(x,i).(((i + x) * (i + 2)) + x),x,1) div 2)
A079753: 0 3 21 136 967 7757 69841 698446 7682951 92195467 1198541137 16779575996 251693640031 4027098240601 68460670090337 1232292061626202
(loop(\(x,i).((((x div 2) + x) + 1) * i),x,1) mod 2)
A327166: 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) * 2)
A184955: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else 2) + 2)
A296078-A137325: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4
(x - ((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2))
A245354: 0 1 2 3 4 5 6 7 8 5 6 7 8 9 10 11
(x - ((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A081597-A028901: 0 1 2 3 4 5 6 7 8 9 6 7 8 9 10 11
(((if (x - 2) <= 0 then ((x div 2) + 2) else 0) + 2) + 2)
A070058: 6 6 7 4
(x mod (if (x mod ((2 + 2) + 1)) <= 0 then (0 - 2) else 2))
A134452: 0 1 0 1 0 ~1 0 1 0 1 0 1 0 1 0 ~1
((if (x - 2) <= 0 then 1 else 2) - (x div ((0 - 2) - 2)))
A066063-A062571: 1 2 2 3 3 4 4 4 4 5 5 5 5 6 6 6
(if x <= 0 then (2 + 2) else (x - (x div ((0 - 2) - 2))))
A225001: 4 2 3 4 5 7 8 9 10 12 13 14 15 17 18 19
(((if (x mod (2 + 1)) <= 0 then 1 else x) div (0 - 2)) mod 2)
A140865: 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1
((2 div ((if (x mod (2 + 2)) <= 0 then x else 0) - 2)) mod 2)
A334460-A063050: 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1
((x mod ((if (x mod (2 + 2)) <= 0 then x else 0) - 2)) div 2)
A305053: 0 ~1 0 ~1 0 ~1 0 ~1 1 ~1 0 ~1 1 ~1 0 ~1
(x div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2))
A330558: 0 0 0 1 1 1 2 2 2 3 3 3 3 3 3 3
((x mod (if (((x div 2) - 2) - 2) <= 0 then 1 else 2)) + 2)
A100961: 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 3
(2 div loop(\(x,i).i,(x - (((2 + 2) + 1) * 2)),2))
A178401: 1 1 1 1 1 1 1 1 1 1 1 2 1 0 0 0
(((2 - x) div (if ((x div 2) - 2) <= 0 then 1 else 2)) mod 2)
A189219-A189008: 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1
(((x mod loop(\(x,i).i,((x div 2) - 2),1)) div 2) + 2)
A076925: 2 2 2 2 2 2 2 2 2 2 2 3 2 2 4 2
(2 div loop(\(x,i).i,(((x - 2) div (2 + 1)) - 2),2))
A295555-A246465-A211226-A172497-A172356-A172353-A157343-A141604-A085684: 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1
((if x <= 0 then 2 else (x mod ((x mod (2 + 1)) + 2))) div 2)
A186716: 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0
(((if (x - 1) <= 0 then ((2 - x) * 2) else 1) + 2) * 2)
A071279: 12 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6
loop(\(x,i).(x * x),1,((((x * 2) + 1) * 2) * 2))
A017114: 16 144 400 784 1296 1936 2704 3600 4624 5776 7056 8464 10000 11664 13456 15376
loop(\(x,i).(x * x),2,((((x * 2) + 1) * 2) * 2))
A017116: 256 20736 160000 614656 1679616 3748096 7311616 12960000 21381376 33362176 49787136 71639296 100000000 136048896 181063936 236421376
(loop(\(x,i).((2 + 1) * x),((x * 2) + 1),2) + 2)
A087290: 8 56 488 4376 39368 354296 3188648 28697816 258280328 2324522936 20920706408 188286357656 1694577218888 15251194969976 137260754729768 1235346792567896
((x * x) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A002015: 0 1 4 9 16 25 36 49 64 81 0 21 44 69 96 25
((((x div 2) - (if (x - 2) <= 0 then x else 1)) div 2) mod 2)
A023959: 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1
(loop(\(x,i).((i * x) * (i + 1)),(x + 1),2) * 2)
A108214: 8 48 576 11520 345600 14515200 812851200 58525286400 5267275776000 579400335360000 76480844267520000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) + 1) * x),((x + 1) * 2),2)
A317526: 1010 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x mod (2 + 1)) - 2) mod ((if x <= 0 then 1 else 2) + 2))
A224317: 1 3 0 2 3 0 2 3 0 2 3 0 2 3 0 2
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 2) + 2)
A242329: 5 9 29 129 629 3129 15629 78129 390629 1953129 9765629 48828129 244140629 1220703129 6103515629 30517578129
((2 - (if x <= 0 then 1 else (x div ((0 - 2) - 2)))) div 2)
A135664: 0 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3
((loop(\(x,i).((x + 2) * 2),(x + 1),2) * 2) * 2)
A182466: 32 80 176 368 752 1520 3056 6128 12272 24560 49136 98288 196592 393200 786416 1572848
((loop(\(x,i).((2 + 1) * x),(x + 1),2) + 2) * 2)
A205248: 16 40 112 328 976 2920 8752 26248 78736 236200 708592 2125768 6377296 19131880 57395632 172186888
(((loop(\(x,i).(i * x),x,(x - 1)) div 2) + 2) + 2)
A133320: 3 4 5 10 40
((((loop(\(x,i).(x * 2),x,2) + 2) * 2) * 2) * 2)
A175162: 32 48 80 144 272 528 1040 2064 4112 8208 16400 32784 65552 131088 262160 524304
((if x <= 0 then 1 else ((((x * 2) * 2) * 2) * 2)) + 2)
A063116: 3 18 34 50 66 82 98 114 130 146 162 178 194 210 226 242
(if x <= 0 then 1 else (((x - 1) mod ((2 + 2) * 2)) + 2))
A189506-A173529-A156230-A038506: 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8
loop(\(x,i).((x * 2) + 1),x,(((2 + 2) * 2) * 2))
A198275: 16 33 67 135 271 543 1087 2175 4351 8703 17407 34815 69631 139263 278527 557055
(if (x - 2) <= 0 then (x * x) else (((2 + 2) * 2) * 2))
A220788: 0 1 4 16
A170836: 0 1 4 16 16 16 16 16 16 16 16 16 16 16 16 16
(loop(\(x,i).((x * 2) - 1),x,((2 + 2) * 2)) + 2)
A164285: 10 17 31 59 115 227 451 899 1795 3587 7171 14339 28675 57347 114691 229379
(loop(\(x,i).((x div 2) + x),x,((2 + 2) * 2)) div 2)
A120134: 4 6 9 13 20 30 45 67 101 151 227 340 510 765 1148 1722
((if x <= 0 then 1 else ((x * x) div ((2 + 2) * 2))) mod 2)
A173858: 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0
(((if x <= 0 then 1 else x) mod ((x div (2 + 2)) + 2)) mod 2)
A141727: 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0
(loop(\(x,i).((x * x) * x),((x * 2) * 2),2) + 2)
A066546: 4 4611686018427387903 4611686018427387903
A132653-A115544: 4 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else (x mod (((x div 2) mod 2) - 2))) + 2)
A106437: 4 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2
(loop(\(x,i).(x * x),((x * 2) * 2),(2 + 2)) * 2)
A067486: 8 8589934592 4611686018427387903 4611686018427387903 4611686018427387903
(0 - ((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2))))
A278950-A109703-A103375: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3
loop(\(x,i).((x * 2) + 1),(x * 2),((2 + 2) * 2))
A114569: 8 35 143 575 2303 9215 36863 147455 589823 2359295 9437183 37748735 150994943 603979775 2415919103 9663676415
loop(\(x,i).((x * 2) - 1),(x * 2),((2 + 2) * 2))
A199207: 8 29 113 449 1793 7169 28673 114689 458753 1835009 7340033 29360129 117440513 469762049 1879048193 7516192769
loop(\(x,i).(((x + 1) * 2) + 1),x,((2 + 2) * 2))
A156198: 8 19 41 85 173 349 701 1405 2813 5629 11261 22525 45053 90109 180221 360445
loop(\(x,i).(((2 + 1) * x) + 1),x,((2 + 2) * 2))
A295911: 8 25 76 229 688 2065 6196 18589 55768 167305 501916 1505749 4517248 13551745 40655236 121965709
loop(\(x,i).(((x - 1) * x) + 1),x,((2 + 2) * 2))
A144781: 8 57 3193 10192057 103878015699193 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - 1) * x) - 1),x,((2 + 2) * 2))
A144748: 8 55 2969 8811991 77651176572089 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) - 2),x,((2 + 2) * 2))
A199110: 8 22 64 190 568 1702 5104 15310 45928 137782 413344 1240030 3720088 11160262 33480784 100442350
loop(\(x,i).(((x + 1) * x) div 2),x,((2 + 2) * 2))
A050536: 8 36 666 222111 24666759216 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 2) * x) - 2),x,((2 + 2) * 2))
A145508: 8 78 6238 38925118 1515164889164158 4611686018427387903 4611686018427387903
(if (x mod (2 + 1)) <= 0 then 1 else (x div ((2 + 2) * 2)))
A025851: 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1
(if (x mod (2 + 2)) <= 0 then 1 else (x div ((2 + 2) * 2)))
A029374: 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1
(loop(\(x,i).(((i + x) * 2) + 1),x,(2 + 2)) div 2)
A054127: 2 5 13 30 65 136 279 566 1141 2292 4595 9202 18417 36848 73711 147438
(loop(\(x,i).(((2 + 1) * x) + 1),x,(2 + 2)) div 2)
A081251: 2 6 20 60 182 546 1640 4920 14762 44286 132860 398580 1195742 3587226 10761680 32285040
(if (x - 2) <= 0 then 1 else (x - ((x div (2 + 2)) + 2)))
A051898: 1 1 1 1 1 2 3 4 4 5 6
((x mod (((if (x - 2) <= 0 then 1 else x) mod 2) + 2)) div 2)
A099395: 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0
((loop(\(x,i).((x - 1) * x),2,(x + 2)) * 2) * 2)
A086302: 8 120 528 1520 3480 6888 12320 20448 32040 47960 69168 96720 131768 175560 229440 294848
(loop(\(x,i).((i * i) + (x + 2)),(x + 2),2) div 2)
A026038: 5 11 20 33 52 78 111 152 203 265 338 423 522 636 765 910
((loop(\(x,i).((x - i) * x),2,(x + 2)) div 2) div 2)
A033487: 0 6 30 90 210 420 756 1260 1980 2970 4290 6006 8190 10920 14280 18360
loop(\(x,i).((x * x) * (2 + 2)),((x + 2) + 2),2)
A139575: 70368744177664 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 1) * x),x,((x + 2) + 2)) div 2)
A038720: 2 5 18 84 480 3240 25200 221760 2177280 23587200 279417600 3592512000 49816166400 741015475200 11769069312000 198766503936000
loop(\(x,i).(((x * x) * 2) - 1),((x + 2) * 2),2)
A219279: 708158977 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((2 div (if x <= 0 then 1 else x)) + ((x + 2) * 2)) * 2)
A272861: 12 16 18 20 24 28 32 36 40 44 48 52 56 60 64 68
(loop(\(x,i).((x + 1) * (2 + 1)),(x * 2),2) + 2)
A199566: 4 32 284 2552 22964 206672 1860044 16740392 150663524 1355971712 12203745404 109833708632 988503377684 8896530399152 80068773592364 720618962331272
(loop(\(x,i).((x + 2) * (2 + 1)),(x * 2),2) + 2)
A198962: 4 44 404 3644 32804 295244 2657204 23914844 215233604 1937102444 17433922004 156905298044 1412147682404 12709329141644 114383962274804 1029455660473244
(loop(\(x,i).((x * x) * (x * 2)),(x * 2),2) div 2)
A309112: 1 4096 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(((x * 2) * 2) * 2))
A017072: 0 16777216 4294967296 110075314176 1099511627776 6553600000000 28179280429056 96717311574016 281474976710656 722204136308736 1677721600000000 3596345248055296 7213895789838336 13685690504052736
loop(\(x,i).((x * x) * x),1,(((x * 2) * 2) * 2))
A017067: 0 512 4096 13824 32768 64000 110592 175616 262144 373248 512000 681472 884736 1124864 1404928 1728000
loop(\(x,i).((x * x) * x),2,(((x * 2) * 2) * 2))
A017073: 0 134217728 68719476736 2641807540224 35184372088832 262144000000000 1352605460594688 5416169448144896 18014398509481984 51998697814228992 134217728000000000 316478381828866048 692533995824480256
loop(\(x,i).(x * x),2,(x - (((x * 2) * 2) * 2)))
A016984: 0 2401 38416 194481 614656 1500625 3111696 5764801 9834496 15752961 24010000 35153041 49787136 68574961 92236816 121550625
(loop(\(x,i).(x * 2),x,x) - (((x * 2) * 2) * 2))
A083727: 0 ~6 ~8 0 32 120 336 840 1984 4536 10160 22440 49056 106392 229264 491400
(loop(\(x,i).(((x * x) * 2) + i),(x * 2),2) * 2)
A135442: 4 328
(x div (if (x - 2) <= 0 then 1 else (((x div 2) mod 2) + 2)))
A029550: 0 1 2 1 2 2 2 2 4
(loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),2) * 2)
A117857: 4 4 20 20 100 100 500 500 2500 2500 12500 12500 62500 62500 312500 312500
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 2)
A209722: 4 5 6 8 10 14 18 26 34 50 66 98 130 194 258 386
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) * 2)
A090989: 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768
(loop(\(x,i).((x * 2) + 1),x,((x mod 2) + 2)) div 2)
A290662: 1 3 5 15 23 63 95 255 383 1023 1535 4095 6143 16383 24575 65535
(loop(\(x,i).((x * 2) * 2),x,((x mod 2) + 2)) div 2)
A266180: 1 6 16 96 256 1536 4096 24576 65536 393216 1048576 6291456 16777216 100663296 268435456 1610612736
(((loop(\(x,i).((x - 1) * 2),x,x) div 2) + 2) + 2)
A098821: 4 4 5 9 21 53 133 325 773 1797 4101 9221 20485 45061 98309 212997
(((x * x) * x) mod loop(\(x,i).((x * x) + 2),2,2))
A070500: 0 1 8 27 26 11 26 1 18 7 12 1 18 31 8 31
(x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2)))
A297235-A269445-A093391: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3
loop(\(x,i).((x * 2) * 2),((x * 2) * 2),(2 + 2))
A013780: 4 1024 262144 67108864 17179869184 4398046511104 1125899906842624 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),(x * 2),(2 + 2))
A013734: 4 256 16384 1048576 67108864 4294967296 274877906944 17592186044416 1125899906842624 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - loop(\(x,i).(((i - 1) - x) * x),2,(2 + 2)))
A112820: 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287
((if (x mod ((x mod 2) + 2)) <= 0 then 1 else x) mod (2 + 2))
A339877: 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1
(loop(\(x,i).((2 + 1) * x),(x - 1),x) * (2 + 2))
A120908: 0 4 24 108 432 1620 5832 20412 69984 236196 787320 2598156 8503056 27634932 89282088 286978140
loop(\(x,i).((((i + 2) * i) + x) - 1),x,(2 + 2))
A160805: 4 6 13 27 50 84 131 193 272 370 489 631 798 992 1215 1469
(((if (x mod (2 + 1)) <= 0 then 1 else 2) + x) div (2 + 2))
A333348: 0 0 1 1 1 1 1 2 2 2 3 3 3 3 4 4
(loop(\(x,i).((i + x) * (x + 1)),2,x) div (2 + 2))
A039623: 1 7 27 76 175 351 637 1072 1701 2575 3751 5292 7267 9751 12825 16576
loop(\(x,i).(((i * x) * (2 + 2)) * 2),x,(2 + 2))
A153511: 4 32 512 12288 393216 15728640 754974720 42278584320 2705829396480 194819716546560 15585577323724800 1371530804487782400 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * x) + 2) * 2),x,(2 + 2))
A125687: 4 28 172 1036 6220 37324 223948 1343692 8062156 48372940 290237644 1741425868 10448555212 62691331276 376147987660 2256887925964
loop(\(x,i).((x - ((2 - x) * 2)) * 2),x,(2 + 2))
A005618: 4 16 88 520 3112 18664 111976 671848 4031080 24186472 145118824 870712936 5224277608 31345665640 188073993832 1128443962984
loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,(2 + 2))
A199309: 4 18 88 438 2188 10938 54688 273438 1367188 6835938 34179688 170898438 854492188 4272460938 21362304688 106811523438
(loop(\(x,i).(((i + x) + 2) * x),2,x) div (2 + 2))
A168566: 0 8 35 99 224 440 783 1295 2024 3024 4355 6083 8280 11024 14399 18495
((if x <= 0 then 1 else x) - (((x div 2) + x) div (2 + 2)))
A177151-A076935: 1 1 2 2 3 4 4 5 5 6 7 7 8 9 9 10
(loop(\(x,i).(x * x),((x * x) - 2),x) * (2 + 2))
A171959: 0 4 64 4611686018427387903
((if (x mod (2 + 2)) <= 0 then 2 else 0) + (x div (2 + 2)))
A082507: 2 0 0 0 3 1 1 1 4 2 2 2 5 3 3 3
(if ((2 + 2) mod (x + 1)) <= 0 then 1 else (x div (2 + 2)))
A272187-A169990: 1 1 0 1 1 1 1 1 2 2 2 2 3 3 3 3
((if x <= 0 then 1 else ((x * 2) * 2)) + (x div (2 + 2)))
A311435: 1 4 8 12 17 21 25 29 34 38 42 46 51 55 59 63
(loop(\(x,i).i,(x div (2 + 2)),1) * (x mod (2 + 2)))
A309954: 0 1 2 3 0 1 2 3 0 2 4 6 0 3 6 9
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 2))
A208704: 4 28 196 1372 9604 67228 470596 3294172 23059204 161414428 1129900996 7909306972 55365148804 387556041628 2712892291396 18990246039772
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(2 + 2))
A219160: 4 52 140452 2770663499604052 4611686018427387903
loop(\(x,i).((x div ((x mod 2) + 2)) + x),x,(2 + 2))
A165897: 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972
(x - ((if (x mod 2) <= 0 then (2 - x) else x) div (2 + 2)))
A265888: 0 1 2 3 5 4 7 6 10 7 12 9 15 10 17 12
loop(\(x,i).((x * x) * x),1,((x * x) * (2 + 2)))
A016746: 0 64 4096 46656 262144 1000000 2985984 7529536 16777216 34012224 64000000 113379904 191102976 308915776 481890304 729000000
loop(\(x,i).((((i + x) + 2) * 2) + i),x,(2 + 2))
A059140: 4 15 40 93 202 423 868 1761 3550 7131 14296 28629 57298 114639 229324
((((if (x - (2 + 2)) <= 0 then 2 else 0) - x) div 2) mod 2)
A284369: 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0
(loop(\(x,i).(((i * 2) div (x + 1)) + 1),x,2) mod 2)
A284792: 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0
(loop(\(x,i).((((x * x) - 2) * 2) - 1),x,2) * 2)
A099941: 4 6 26 666 443546 196733054106 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(((2 + 1) * x) + 2),2)
A277426: 32 2048 131072 8388608 536870912 34359738368 2199023255552 140737488355328 9007199254740992 576460752303423488 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((((2 + 1) * x) + 2) * 2))
A016958: 16 100 256 484 784 1156 1600 2116 2704 3364 4096 4900 5776 6724 7744 8836
loop(\(x,i).(x * x),2,((((2 + 1) * x) + 2) * 2))
A016960: 256 10000 65536 234256 614656 1336336 2560000 4477456 7311616 11316496 16777216 24010000 33362176 45212176 59969536 78074896
(loop(\(x,i).(x * 2),x,(((2 + 1) * x) + 2)) div 2)
A053220: 1 5 16 44 112 272 640 1472 3328 7424 16384 35840 77824 167936 360448 770048
(loop(\(x,i).((x * x) * x),((2 + 1) * x),2) div 2)
A161774: 1 67108864 4611686018427387903
(((x * x) * x) mod loop(\(x,i).((x + 1) * x),2,2))
A070504: 0 1 8 27 22 41 6 7 8 15 34 29 6 13 14 15
(loop(\(x,i).(((i + x) + 2) * (i + 1)),x,2) div 2)
A103519: 1 5 21 94 485 2931 20545 164396 1479609 14796145 162757661 1953092010 25390196221 355462747199 5331941208105 85311059329816
((((if ((x div 2) - 2) <= 0 then 0 else 2) - x) div 2) mod 2)
A287657: 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1
(((if ((x div 2) mod (2 + 1)) <= 0 then 2 else x) div 2) mod 2)
A285504: 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1
(loop(\(x,i).((x * 2) - ((x div 2) mod 2)),x,2) div 2)
A323457: 1 1 2 5 9
A077947: 1 1 2 5 9 18 37 73 146 293 585 1170 2341 4681 9362 18725
(loop(\(x,i).((x * 2) - ((i div 2) mod 2)),x,2) div 2)
A007910: 1 2 3 6 13 26 51 102 205 410 819 1638 3277 6554 13107 26214
(loop(\(x,i).(x * 2),x,(x - ((2 - x) * 2))) div 2)
A053565: ~2 ~1 4 20 64 176 448 1088 2560 5888 13312 29696 65536 143360 311296 671744
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 2)
A086573: 0 18 198 1998 19998 199998 1999998 19999998 199999998 1999999998 19999999998 199999999998 1999999999998 19999999999998 199999999999998 1999999999999998
(loop(\(x,i).(x * 2),x,(((x + 2) * x) + 2)) div 2)
A084850: 1 5 20 68 208 592 1600 4160 10496 25856 62464 148480 348160 806912 1851392 4210688
(loop(\(x,i).(x * 2),x,(((x div 2) + x) + 2)) div 2)
A188545: 1 3 10
A231116: 1 3 10 24
A179608: 1 3 10 24 64 144 352 768 1792 3840 8704 18432 40960 86016 188416 393216
(2 - ((2 - x) div (((if x <= 0 then 2 else x) div 2) + 2)))
A346425: 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4
(loop(\(x,i).((x * 2) - ((i + x) mod 2)),x,2) div 2)
A016029: 1 1 2 5 10 19 38 77 154 307 614 1229 2458 4915 9830 19661
(loop(\(x,i).((((i + x) * 2) + i) + 2),x,2) * 2)
A059133: 4 18 52 126 280 594 1228 2502 5056 10170 20404 40878 81832 163746 327580 655254
(((((if x <= 0 then 0 else 2) + 2) + 1) * (x + 2)) * 2)
A307348: 12 30 40
((2 - ((if (x mod 2) <= 0 then x else 1) * (x + 2))) div 2)
A110326: 1 ~1 ~3 ~2 ~11 ~3 ~23 ~4 ~39 ~5 ~59 ~6 ~83 ~7 ~111 ~8
(((if (x mod 2) <= 0 then 1 else (x + 2)) * (x + 2)) div 2)
A226725: 1 4 2 12 3 24 4 40 5 60 6 84 7 112 8 144
(x - (loop(\(x,i).(1 - (x * x)),2,(x + 2)) - 2))
A269468: 10 66 228 580 1230 2310 3976 6408 9810 14410 20460 28236 38038 50190 65040 82960
(if ((x div (2 + 2)) - 2) <= 0 then x else ((x + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A004840: 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19
(if (((x div 2) - 2) - 2) <= 0 then x else ((x + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A335134-A244155: 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19
loop(\(x,i).((x - (i + 1)) * x),2,((x + 2) * 2))
A069079: 40 504 2160 6160 14040 27720 49504 82080 128520 192280 277200 387504 527800 703080 918720 1180480
loop(\(x,i).(((i + 2) * x) * 2),x,((x + 2) * 2))
A019999: 4 36 384 4800 69120 1128960 20643840 418037760 9289728000 224811417600 5885971660800 165788201779200 4999151930572800 160687026339840000 4611686018427387903 4611686018427387903
((if (x - ((2 + 1) * 2)) <= 0 then x else (x + 2)) + 2)
A227691-A167703: 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19
((if ((x div (2 + 2)) - 2) <= 0 then x else (x + 2)) + 2)
A114522: 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19
(loop(\(x,i).(((x + 2) + 2) * 2),x,(x + 2)) div 2)
A047862: 1 7 20 48 108 236 508 1084 2300 4860 10236 21500 45052 94204 196604 409596
loop(\(x,i).((((i + 1) * i) div 2) + x),(x + 2),2)
A222001: 6 12 22 37 58 86 122 167 222 288 366 457 562 682 818 971
(x mod (if (x mod ((2 + 1) * 2)) <= 0 then (x - 2) else 2))
A257260: 0 1 0 1 0 1 2 1 0 1 0 1 2 1 0 1
(x - (x mod (1 - loop(\(x,i).(x * 2),(x - 2),2))))
A295484: 0 1 2 3 7
A153010: 0 1 2 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383
(if (x - (2 + 2)) <= 0 then (x + 1) else ((x - 2) * 2))
A067319: 1 2 3 4 5 6 8 10 12
A032956-A004279: 1 2 3 4 5 6 8 10 12 14 16 18 20 22 24 26
loop(\(x,i).((((x * x) div 2) * 2) - 1),(x * 2),2)
A144836: 2 7 2207 23725150497407 4611686018427387903
(loop(\(x,i).(((x + 2) * x) + 1),2,(x * 2)) * 2)
A020329: 8 200
loop(\(x,i).(x - (((x * 2) * 2) * 2)),(x * 2),2)
A324266: 2 98 4802 235298 11529602 564950498 27682574402 1356446145698 66465861139202 3256827195820898 159584532595224002 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - (2 mod loop(\(x,i).((x - 2) * 2),(x * 2),2)))
A267924: 1 3 27 123 507 2043 8187 32763 131067 524283 2097147 8388603 33554427 134217723 536870907 2147483643
loop(\(x,i).(x - (((i - 1) - x) * 2)),(x * 2),2)
A338186: 2 16 126 1100 9850 88584 797174 7174468 64570098 581130752 5230176622 47071589436 423644304746 3812798742520 34315188682470 308836698142004
loop(\(x,i).((((i mod 2) + i) * x) * 2),(x * 2),2)
A329928: 2 32 2048 294912 75497472 30198988800 17394617548800 13637380158259200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - 1) * x),1,((x * 2) * 2))
A069140: 0 60 504 1716 4080 7980 13800 21924 32736 46620 63960 85140 110544 140556 175560 215940
(loop(\(x,i).((2 + 1) * x),(x - 1),(x div 2)) * 2)
A274499: 0 0 6 18 108 324 1458 4374 17496 52488 196830 590490 2125764 6377292 22320522 66961566
((loop(\(x,i).((x * x) + 1),x,2) - (x div 2)) div 2)
A060596: 1 2 12 338
(((x mod 2) - 1) mod loop(\(x,i).(x * 2),(x div 2),2))
A077896: 1 0 3 0 7 0 15 0 31 0 63 0 127 0 255 0
(2 - ((x mod 2) - loop(\(x,i).(x * 2),(x div 2),2)))
A261723: 4 3 6 5 10 9 18 17 34 33 66 65 130 129 258 257
(if (x - 2) <= 0 then 2 else ((x * 2) div ((x div 2) + 2)))
A328680: 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3
((x * 2) - (if ((x div 2) mod 2) <= 0 then (x mod 2) else 2))
A047466: 0 1 2 4 8 9 10 12 16 17 18 20 24 25 26 28
(if (x mod (2 + 2)) <= 0 then 1 else ((2 - (x mod 2)) * 2))
A177002: 1 2 4 2 1 2 4 2 1 2 4 2 1 2 4 2
(if (x - 2) <= 0 then 1 else (x div ((2 - (x mod 2)) * 2)))
A243561: 1 1 1 1 1 2 1 3 2 4
(loop(\(x,i).((x + 1) * 2),x,(2 - (x mod 2))) div 2)
A284354: 1 2 7 11 31 47 127 191 511 767 2047 3071 8191 12287 32767 49151
(loop(\(x,i).((2 + 1) * x),x,2) div ((x mod 2) + 2))
A083423: 1 2 9 18 81 162 729 1458 6561 13122 59049 118098 531441 1062882 4782969 9565938
((if (x - 2) <= 0 then (x + 1) else 0) + ((x mod 2) * 2))
A067018: 1 4 3 2 0 2 0 2 0 2 0 2 0 2 0 2
((if (2 - x) <= 0 then (2 + 2) else 1) + ((x mod 2) * 2))
A101432: 1 3 4 6 4 6 4 6 4 6 4 6 4 6 4 6
(loop(\(x,i).((x * 2) + 1),x,2) + ((x mod 2) * 2))
A201630: 2 7 11 25 47 97 191 385 767 1537 3071 6145 12287 24577 49151 98305
(0 - loop(\(x,i).(1 - (x * 2)),x,((x mod 2) * 2)))
A096773: 0 3 1 13 5 53 21 213 85 853 341 3413 1365 13653 5461 54613
(loop(\(x,i).(((x * x) + (2 + 1)) * x),x,2) div 2)
A145451: 1 7 1393 10812186007 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * (x + 1)),(x * x),2) * 2)
A162187: 4 24 4611686018427387903
(loop(\(x,i).(((x - i) * (i + x)) * x),x,2) + 2)
A120822: 4 8 194
(((if ((x div (2 + 2)) - 2) <= 0 then 1 else 0) + x) div 2)
A062108: 0 1 1 2 2 3 3 4 4 5 5 6 6 6 7 7
(((if (((x div 2) - 2) - 2) <= 0 then 1 else 0) + x) div 2)
A186704: 0 1 1 2 2 3 3 4 4 5 5 5 6
((loop(\(x,i).(((i * 2) + x) * 2),x,0) - x) * 2)
A308585: 0 6 28 82 200 446 948 1962 4000 8086 16268 32642 65400 130926 261988 524122
((loop(\(x,i).((x - 1) mod (i + 2)),x,0) + x) + 2)
A256302: 2 5 5 5 11 11 11 11 11 11 23 23 23 23 23 23
((loop(\(x,i).i,(x div ((2 + 2) + 1)),1) + x) * 2)
A240171: 2 4 6 8 10 12 14 16 18 20 24 26 28 30 32 36
((loop(\(x,i).i,(((x div 2) - 2) - 1),1) + x) + 2)
A154660: 3 4 5 6 7 8
A298296: 3 4 5 6 7 8 9 10 11 12 14 15 17 18 20 21
((loop(\(x,i).i,((x - 2) div (2 + 1)),1) + x) + 2)
A154660: 3 4 5 6 7 8
A298004: 3 4 5 6 7 8 9 10 12 13 14 16 17 18 20 21
loop(\(x,i).((((x + 1) * x) * (2 + 1)) + 1),x,2)
A172028: 2 19 1141 3909067 45842426158669 4611686018427387903 4611686018427387903
((if ((x mod ((2 + 2) + 1)) - 2) <= 0 then 1 else x) mod 2)
A185305: 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1
(2 - ((if ((x div (2 + 1)) - 2) <= 0 then 1 else x) mod 2))
A338653: 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1
((loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x) * 2)
A147819: 2 4 6 8 10 12 14 16 18 20 22 24 28 30 32 36
((loop(\(x,i).i,(((x div 2) - 1) div 2),1) + x) + 2)
A154660: 3 4 5 6 7 8
A298005: 3 4 5 6 7 8 9 10 11 12 14 15 16 17 19 20
(((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) div 2)
A194964: 1 1 2 2 3 3 4 4 5 5 5 6 6 7 7 8
(((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x) div 2)
A075355: 1 1 2 2 3 3 4 4 5 5 6 6 6 7 7 8
(loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),x) * 2)
A245627-A169805-A136614-A097586: 0 2 4 6 8 10 12 14 16 18 2 4 6 8 10 12
loop(\(x,i).(((((x * x) div 2) * 2) * 2) + 1),x,2)
A081459: 2 9 161 51841 5374978561 4611686018427387903 4611686018427387903 4611686018427387903
(2 div (if ((x - 2) mod ((2 + 2) + 1)) <= 0 then x else 2))
A118111-A071039: 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1
loop(\(x,i).(x * x),1,((((2 + 2) + 1) * x) + 2))
A016874: 4 49 144 289 484 729 1024 1369 1764 2209 2704 3249 3844 4489 5184 5929
loop(\(x,i).(x * x),2,((((2 + 2) + 1) * x) + 2))
A016876: 16 2401 20736 83521 234256 531441 1048576 1874161 3111696 4879681 7311616 10556001 14776336 20151121 26873856 35153041
loop(\(x,i).(x * x),1,((((2 + 2) + 1) * x) * 2))
A017270: 0 100 400 900 1600 2500 3600 4900 6400 8100 10000 12100 14400 16900 19600 22500
loop(\(x,i).(x * x),2,((((2 + 2) + 1) * x) * 2))
A017272: 0 10000 160000 810000 2560000 6250000 12960000 24010000 40960000 65610000 100000000 146410000 207360000 285610000 384160000 506250000
((if x <= 0 then 2 else ((((x + 2) + 2) + 1) * x)) div 2)
A027379: 1 3 7 12 18 25 33 42 52 63 75 88 102 117 133 150
((if ((x * x) mod ((x + 2) + 2)) <= 0 then 1 else x) mod 2)
A285384: 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1
(1 - ((loop(\(x,i).i,((x div 2) - 2),1) - x) div 2))
A232753-A067085: 1 1 2 2 3 3 4 4 4 5 5 5 5 6 6 6
loop(\(x,i).((i * x) - (((i mod 2) * 2) - 1)),x,2)
A236438: 2 1 3 8 33 164 985 6894 55153 496376 4963761 54601370 655216441 8517813732 119249392249 1788740883734
loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),x,2)
A199417: 2 11 74 515 3602 25211 176474 1235315 8647202 60530411 423712874 2965990115 20761930802 145333515611 1017334609274 7121342264915
loop(\(x,i).(x - (1 - ((x * 2) * (2 + 1)))),x,2)
A199489: 2 13 90 629 4402 30813 215690 1509829 10568802 73981613 517871290 3625099029 25375693202 177629852413 1243408966890 8703862768229
loop(\(x,i).(x - (2 - ((x * 2) * (2 + 1)))),x,2)
A199420: 2 12 82 572 4002 28012 196082 1372572 9608002 67256012 470792082 3295544572 23068812002 161481684012 1130371788082 7912602516572
loop(\(x,i).(x * x),(2 + 1),(((2 + 1) * x) + 2))
A016796: 256 390625 16777216 214358881 1475789056 6975757441 25600000000 78310985281 208827064576 500246412961 1099511627776 2251875390625 4347792138496 7984925229121 14048223625216 23811286661761
loop(\(x,i).((x * x) * x),1,(((2 + 1) * x) + 2))
A061103-A016791: 8 125 512 1331 2744 4913 8000 12167 17576 24389 32768 42875 54872 68921 85184 103823
(loop(\(x,i).(x * 2),x,2) div (((2 + 1) * x) + 2))
A191629: 1 0 1 1 2 3 6 11 19 35 64 117 215 399 744 1394
loop(\(x,i).((x * x) * x),2,(((2 + 1) * x) + 2))
A016797: 512 1953125 134217728 2357947691 20661046784 118587876497 512000000000 1801152661463 5429503678976 14507145975869 35184372088832 78815638671875 165216101262848 327381934393961
loop(\(x,i).(x * 2),(((x * x) mod (2 + 1)) + x),2)
A080095: 2 8 16 16 64 128 128 512 1024 1024 4096 8192 8192 32768 65536 65536
(if (((x * 2) - 1) mod ((x + 2) + 1)) <= 0 then x else 2)
A053238: 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2
(loop(\(x,i).((2 + 1) * x),((x * 2) - 1),x) * 2)
A230540: 0 6 108 1458 17496 196830 2125764 22320522 229582512 2324522934 23245229340 230127770466 2259436291848 22029503845518 213516729579636 2058911320946490
((loop(\(x,i).((i div 2) * i),(x div 2),1) + x) mod 2)
A076404: 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0
loop(\(x,i).((((x * 2) * 2) + (x mod 2)) + 1),x,2)
A037489: 2 9 38 153 614 2457 9830 39321 157286 629145 2516582 10066329 40265318 161061273 644245094 2576980377
(((x * x) * x) - ((if (x mod 2) <= 0 then 1 else x) - 2))
A085070: 1 2 9 26
(((loop(\(x,i).((i + x) + x),x,2) - 1) * x) div 2)
A276659: 0 2 11 39 114 300 741 1757 4052 9162 20415 44979 98214 212888 458633 982905
loop(\(x,i).(((x * x) div 2) + ((i * 2) + 1)),x,2)
A123374: 2 5 17 151
((loop(\(x,i).((i * 2) div (x + 2)),x,1) + x) mod 2)
A332479: 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0
(((loop(\(x,i).((x * x) * x),2,x) + 1) * x) div 2)
A168118: 0 1 513 29526 524290 4882815 30233091 141237628 536870916 1743392205 5000000005 12968712306 30958682118 68929245931 144627327495 288325195320
((loop(\(x,i).((i * x) div 2),x,(x + 1)) + x) mod 2)
A337165-A243148: 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0
((x - (((2 + 2) + 1) mod (if x <= 0 then 1 else x))) mod 2)
A275606: 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0
(x - (((x div (2 + 2)) - (if x <= 0 then 1 else x)) div 2))
A305847: 1 2 3 5 6 7 9 10 11 13 14 16 17 18 20 21
(x - ((((x div 2) mod 2) - (if x <= 0 then 1 else x)) div 2))
A171581-A094229: 1 2 3 4 6 8 9 10 12 14 15 16 18 20 21 22
((((x * x) + 2) * 2) div ((if x <= 0 then 1 else x) + 2))
A187102: 1 2 3 4 6 7 9 11
((((x * x) + 2) * x) + ((if x <= 0 then 1 else x) mod 2))
A119683: 1 4 12 34
loop(\(x,i).(x * x),1,((((x * x) + 1) * x) div 2))
A135509: 0 1 25 225 1156 4225 12321 30625 67600 136161 255025 450241 756900 1221025 1901641 2873025
loop(\(x,i).(((x * 2) div (i + 1)) * (i + 1)),x,2)
A178901: 2 4 6 12 20 36 70 136 270 540 1078 2148 4290 8568 17130 34256
loop(\(x,i).(((i * x) * (2 + 2)) * (i + 1)),x,2)
A002474: 2 16 384 18432 1474560 176947200 29727129600 6658877030400 1917756584755200 690392370511872000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) * (i + 2)) * (i + 1)),x,2)
A176037: 2 12 288 17280 2073600 435456000 146313216000 73741860864000 53094139822080000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) + x) + 2)
A154660: 3 4 5 6 7 8
A297468: 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19
loop(\(x,i).(((((x * 2) * 2) * 2) + 1) * 2),x,2)
A098704: 2 34 546 8738 139810 2236962 35791394 572662306 9162596898 146601550370 2345624805922 37529996894754 600479950316066 9607679205057058 153722867280912930 2459565876494606882
(2 div (if ((x - 2) mod ((2 + 1) * 2)) <= 0 then x else 2))
A340374-A340371: 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1
(loop(\(x,i).((((x - 2) * x) div 2) + 1),2,x) div 2)
A307182: 0 0 0 0 4 12 36 72 144 240 400 600 900 1260 1764 2352
(if x <= 0 then 1 else ((((2 mod (x + 1)) + 2) * x) * 2))
A234275: 1 4 16 24 32 40 48 56 64 72 80 88 96 104 112 120
loop(\(x,i).(x - ((i mod 2) - ((x + 1) * 2))),x,2)
A037488: 2 7 23 70 212 637 1913 5740 17222 51667 155003 465010 1395032 4185097 12555293 37665880
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else x) div 2)
A096194: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),x,2)
A013822: 2 64 2048 65536 2097152 67108864 2147483648 68719476736 2199023255552 70368744177664 2251799813685248 72057594037927936 2305843009213693952 4611686018427387903 4611686018427387903
((loop(\(x,i).i,(x - ((2 + 2) * 2)),2) + x) div 2)
A025766: 1 1 2 2 3 3 4 4 5 5 6 7 8 9 10 11
(((loop(\(x,i).((x * x) * 2),2,2) - 2) * x) * 2)
A242570: 0 252 504 756 1008 1260 1512 1764 2016 2268 2520 2772 3024 3276 3528 3780
((loop(\(x,i).i,((x div 2) mod (2 + 2)),2) + x) div 2)
A140858: 1 1 1 2 3 3 4 5 5 5 5 6 7
loop(\(x,i).(x * 2),x,((((2 + 2) * 2) + x) + 2))
A079861: 10 22 48 104 224 480 1024 2176 4608 9728 20480 43008 90112 188416 393216 819200
(loop(\(x,i).((x div (2 - (x mod 2))) + 2),2,x) div 2)
A331745-A331743-A286378-A103391: 1 2 2 3 2 4 3 5 2 6 4 7 3 8 5 9
((loop(\(x,i).(((x * x) * x) - 2),2,2) * x) div 2)
A134297: 0 107 214 321 428 535 642 749 856 963 1070 1177 1284 1391 1498 1605
(2 - (2 div (if ((x + 2) mod (2 + 2)) <= 0 then x else 2)))
A333915: 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1
(loop(\(x,i).(x * 2),x,(((x + 2) * 2) + x)) div 2)
A066373: 2 7 20 52 128 304 704 1600 3584 7936 17408 37888 81920 176128 376832 802816
loop(\(x,i).((((x div 2) + x) * (x + 2)) + 2),x,2)
A101524: 2 14 338
(loop(\(x,i).(((i * x) + 1) * (x * 2)),2,x) div 2)
A185096: 0 36 300 1176 3240 7260 14196 25200 41616 64980 97020 139656 195000 265356 353220 461280
(((0 - 2) - 1) mod loop(\(x,i).((x * 2) * 2),x,2))
A267921: 1 5 29 125 509 2045 8189 32765 131069 524285 2097149 8388605 33554429 134217725 536870909 2147483645
loop(\(x,i).(((i + 1) * x) - ((x div 2) mod 2)),x,2)
A082569: 2 3 8 32 160 960 6720 53760 483840 4838400 53222400 638668800 8302694400 116237721600 1743565824000 27897053184000
((x - loop(\(x,i).(((1 - x) * x) div 2),2,x)) * 2)
A062026: 0 2 6 18 50 120 252 476 828 1350 2090 3102 4446 6188 8400 11160
loop(\(x,i).((x * 2) - (((i * x) div 2) mod 2)),x,2)
A262450: 2 3 5 9 18 35 69 137 274 547 1093 2185 4370 8739 17477 34953
loop(\(x,i).i,((x + 1) mod (2 + 1)),((2 - x) + 2))
A087775: 1 2 2 1 2 ~1 1 2 ~4 1 2 ~7 1 2 ~10 1
(((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + x) + 2)
A079431: 2 4 6 8 10 9 14 16 12 20 22 15 26 28 18 32
loop(\(x,i).((((x * x) * (2 + 1)) - x) div 2),x,2)
A099137: 2 5 35 1820 4967690 37016913420305 4611686018427387903 4611686018427387903
(loop(\(x,i).((((i * i) * x) + 1) * x),2,x) div 2)
A339483: 0 9 75 294 810 1815 3549 6300 10404 16245 24255 34914 48750 66339 88305 115320
loop(\(x,i).(((((i mod 2) + 2) + 2) * x) div 2),x,2)
A162963: 2 5 10 25 50 125 250 625 1250 3125 6250 15625 31250 78125 156250 390625
((loop(\(x,i).((i * i) + (x * 2)),x,2) + x) div 2)
A048492: 1 3 8 20 47 105 226 474 977 1991 4028 8112 16291 32661 65414 130934
loop(\(x,i).(((((i + 1) * i) div 2) + x) + 2),x,2)
A177787: 2 5 10 18 30 47 70 100 138 185 242 310 390 483 590 712
(loop(\(x,i).((x * 2) - (i - 1)),(x + 2),x) + 2)
A045618: 1 6 23 72 201 522 1291 3084 7181 16398 36879 81936 180241 393234 851987 1835028
(loop(\(x,i).(((x * x) * x) + 1),(x * 2),x) + 2)
A079331: 2 11 4611686018427387903
((loop(\(x,i).((x * x) * x),2,(x * 2)) * x) * 2)
A016750: 0 1024 1048576 60466176 1073741824 10000000000 61917364224 289254654976 1099511627776 3570467226624 10240000000000 26559922791424 63403380965376 141167095653376 296196766695424 590490000000000
(((x + 1) * (2 + 1)) + loop(\(x,i).(x * 2),x,2))
A086653: 5 10 17 28 47 82 149 280 539 1054 2081 4132 8231 16426 32813 65584
((loop(\(x,i).((x * x) * x),x,(x * 2)) - x) + 2)
A103562: 2 9 262144 4611686018427387903
loop(\(x,i).(i * x),x,(((2 - (x mod 2)) * x) + 2))
A256031: 2 3 12 30 240 840 10080 45360 725760 3991680 79833600 518918400 12454041600 93405312000 2615348736000 22230464256000
(((2 + 2) * (x + 1)) + ((if x <= 0 then 2 else x) div 2))
A210240: 5 8 13 17 22
(loop(\(x,i).((((i + x) - 1) * x) * x),2,x) div 2)
A168555: 0 1 288 10206 133120 984375 5062176 20235628 67239936 193975965 500500000 1179859626 2581383168 5304663091 10334288160 19227375000
loop(\(x,i).((x * 2) - (((x div 2) + i) mod 2)),x,2)
A262333: 2 4 8 15 29 57 114 228 456 911 1821 3641 7282 14564 29128 58255
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else (x + 2))
A300909: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17
(loop(\(x,i).(x * 2),((x - 1) div 2),1) div (x + 2))
A338333: 0 0 0 0 0 0 0 0 0 1 1 2 2 4 4 7
(if ((x + 2) mod ((x mod 2) + 2)) <= 0 then 1 else (x + 2))
A308090: 1 1 1 5 1 7 1 1 1 11 1 13 1 1 1 17
(loop(\(x,i).((x div 2) + x),x,(2 + 1)) div (x + 2))
A067859: 1 1 1 1 2 2 3 4 6 8 11 16 22 31 44 62
((if x <= 0 then 0 else ((2 + 2) * (x - 1))) div (x + 2))
A132090-A071538: 0 0 1 1 2 2 2 2 2 2 3 3 3 3 3 3
loop(\(x,i).(((x * x) + (x mod 2)) - 1),2,(x + 2))
A208114: 9 81 225 625 1225 2401 3969 6561 9801 14641 20449 28561 38025 50625 65025 83521
(loop(\(x,i).((i * i) * x),x,(x + 2)) * (x + 2))
A162991: 4 9 64 900 20736 705600 33177600 2057529600 162570240000 15933509222400 1896219279360000 269276305858560000 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - ((2 + 2) * (2 + 1))) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A050607-A023781: 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17
(loop(\(x,i).((2 + 1) * x),(x - 1),x) * (x + 2))
A069515: 0 3 24 135 648 2835 11664 45927 174960 649539 2361960 8444007 29760696 103630995 357128352 1219657095
(if (x - (((2 + 2) + 1) * 2)) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A336813-A247812-A209860-A050724-A023779: 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A344022-A247764-A023783: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17
(if ((x div 2) - ((2 + 1) * 2)) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A283657-A053432-A023782: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17
(2 div (if ((x div (2 + 2)) mod 2) <= 0 then 2 else (x - 2)))
A025448: 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 0) + (x * 2))
A249123-A094042: 1 3 5 7 9 11 13 15 17 18 20 22 24 26 28 30
((if (((x div 2) - 2) - 2) <= 0 then 1 else 0) + (x * 2))
A329835-A038124: 1 3 5 7 9 11 13 15 17 19 20 22 24 26 28 30
((if (((2 - x) + 2) * x) <= 0 then 1 else 0) + (x * 2))
A231408: 1 2 4 6 9
A326494: 1 2 4 6 9 11 13 15 17 19 21 23 25 27 29 31
((if ((x - 1) mod (2 + 2)) <= 0 then 0 else 1) + (x * 2))
A047482: 1 2 5 7 9 10 13 15 17 18 21 23 25 26 29 31
((if ((x + 2) mod (2 + 2)) <= 0 then 0 else 1) + (x * 2))
A047544: 1 3 4 7 9 11 12 15 17 19 20 23 25 27 28 31
(loop(\(x,i).i,(x - ((2 + 1) * 2)),1) + (x * 2))
A005842: 1 3 5 7 9 11 13 15 18 21 24 27 30 33 36 39
((if (x - ((2 + 1) * 2)) <= 0 then 2 else 1) + (x * 2))
A247427: 2 4 6 8 10 12 14 15 17 19 21 23 25 27 29 31
(loop(\(x,i).i,(((x - 1) div 2) div 2),1) + (x * 2))
A248608: 1 3 5 7 9 11 13 15 17 20 22 24 26 29 31 33
((if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1) + (x * 2))
A047493: 1 4 5 7 9 12 13 15 17 20 21 23 25 28 29 31
((if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1) + (x * 2))
A047558: 1 3 6 7 9 11 14 15 17 19 22 23 25 27 30 31
loop(\(x,i).(((x * 2) * 2) + 1),(2 + 1),(x * 2))
A239123: 21 149 277 405 533 661 789 917 1045 1173 1301 1429 1557 1685 1813 1941
loop(\(x,i).((x * 2) + 1),((x * 2) + 1),(x * 2))
A098713: 1 23 159 895 4607 22527 106495 491519 2228223 9961471 44040191 192937983 838860799 3623878655 15569256447 66571993087
((if (x mod (2 + 2)) <= 0 then x else (x + 1)) + (x * 2))
A083032: 0 4 7 10 12 16 19 22 24 28 31 34 36 40 43 46
((((x + 1) * 2) + 1) * (if x <= 0 then 1 else (x * 2)))
A059193: 3 10 28 54 88 130 180 238 304 378 460 550 648 754 868 990
((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) + (x * 2))
A247428: 1 3 5 7 9 11 13 16 18 20 22 24 26 28 30 32
((if (x mod 2) <= 0 then 1 else ((2 + 1) * 2)) + (x * 2))
A168204: 1 8 5 12 9 16 13 20 17 24 21 28 25 32 29 36
loop(\(x,i).((((i + x) * 2) + 1) * x),2,(x * 2))
A101734: 0 462
(if ((x + 2) mod (2 + 2)) <= 0 then (x div 2) else (x * 2))
A188167: 0 2 1 6 8 10 3 14 16 18 5 22 24 26 7 30
((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) + (x * 2))
A047546: 2 3 4 7 10 11 12 15 18 19 20 23 26 27 28 31
loop(\(x,i).(x - (x div ((i + 2) + 1))),x,(x * 2))
A121856: 0 2 3 4 5 6 6 7 7 8 8 9 9 9 10 10
((loop(\(x,i).((2 + 1) * x),x,1) + x) + (x * 2))
A221905: 1 6 15 36 93 258 747 2208 6585 19710 59079 177180 531477 1594362 4783011 14348952
((loop(\(x,i).((2 + 1) * x),x,1) - x) - (x * 2))
A107583: 1 0 3 18 69 228 711 2166 6537 19656 59019 177114 531405 1594284 4782927 14348862
(loop(\(x,i).(((i * x) + 2) * x),2,x) * (x * 2))
A192832: 0 48 576 2880 9600 25200 56448 112896 207360 356400 580800 906048 1362816 1987440 2822400 3916800
loop(\(x,i).((x div ((i mod 2) + 1)) + x),x,(x * 2))
A187273: 0 3 12 27 72 135 324 567 1296 2187 4860 8019 17496 28431 61236 98415
loop(\(x,i).(x * x),1,(x - ((x * x) * (x * 2))))
A277792: 0 1 196 2601 15376 60025 181476 461041 1032256 2099601 3960100 7027801 11861136 19193161 29964676 45360225
((if (x - 2) <= 0 then 2 else ((x * x) * x)) + (x * 2))
A175877: 2 4 6 33
((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + (x div 2))
A137235: 6 1 7 2 8 3 9 4 10 5 11 6 12 7 13 8
(loop(\(x,i).i,(x - ((2 + 1) * 2)),1) + (x div 2))
A029025: 1 1 2 2 3 3 4 4 6 7 9 10 12 13 15 16
(loop(\(x,i).i,(((x - 1) div 2) - 2),1) + (x div 2))
A025765: 1 1 2 2 3 3 4 4 5 6 7 8 9 10 11 12
(loop(\(x,i).i,(x - ((2 + 2) * 2)),1) + (x div 2))
A029030: 1 1 2 2 3 3 4 4 5 5 7 8 10 11 13 14
((loop(\(x,i).(x * x),(x + 2),x) + 1) - (x div 2))
A213619: 1 2 65536
(x mod ((if (x - (2 + 2)) <= 0 then 1 else 2) + (x div 2)))
A210609-A210608: 0 0 0 1 1 1 1 2 2 3 3 4 4 5 5 6
loop(\(x,i).(x - (x div ((i * 2) + 1))),2,(x div 2))
A048273: 0 0 1 1 2 2 2 2 3 3 4 4 4 4 4 4
loop(\(x,i).(x + 2),(((x div 2) - 2) - 2),(x div 2))
A035679: 0 0 1 1 2 2 3 3 4 4 7 7 10 10 13 13
(loop(\(x,i).((x * x) - (x div 2)),x,2) - (x div 2))
A201363: 2 3 7
A156585: 2 3 7 59
((if (x mod (2 + 2)) <= 0 then x else (x + 2)) + (x div 2))
A244953: 0 3 5 6 6 9 11 12 12 15 17 18 18 21 23 24
(((if ((x div 2) - 2) <= 0 then 1 else 0) + x) + (x div 2))
A285423: 1 2 4 5 7 8 9 10 12 13 15 16 18 19 21 22
(((if (x mod (2 + 2)) <= 0 then 1 else 2) + x) + (x div 2))
A342051: 1 3 5 6 7 9 11 12 13 15 17 18 19 21 23 24
(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + (x div 2))
A187576: 1 2 4 5 7 8 11 12 14 15 17 18 20 21 23 24
((if (x mod (2 + 1)) <= 0 then (2 + 2) else 1) * (x mod 2))
A120324: 0 1 0 4 0 1 0 1 0 4 0 1 0 1 0 4
(loop(\(x,i).((x * 2) * 2),(x div 2),1) - (x mod 2))
A277800: 1 0 4 3 16 15 64 63 256 255 1024 1023 4096 4095 16384 16383
loop(\(x,i).((i * i) + x),((x div 2) + 1),(x mod 2))
A215147: 1 2 5 6 14 15 30 31 55 56 91 92 140 141 204 205
(loop(\(x,i).(x * 2),x,((x mod 2) + 1)) - (x mod 2))
A285475: 1 3 4 15 16 63 64 255 256 1023 1024 4095 4096 16383 16384 65535
(loop(\(x,i).(((x * 2) * 2) - 1),x,1) - (x mod 2))
A140322: 1 2 11 42 171 682 2731 10922 43691 174762 699051 2796202 11184811 44739242 178956971 715827882
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (x mod 2))
A164907: 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) + (x mod 2))
A103425: 1 3 5 15 41 123 365 1095 3281 9843 29525 88575 265721 797163 2391485 7174455
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) - (x mod 2))
A046717: 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453
loop(\(x,i).((i mod 2) - (x * 2)),(x - 1),(x mod 2))
A136324: 0 1 1 2 5 6 21 22 85 86 341 342 1365 1366 5461 5462
((if ((2 + 2) mod (x + 1)) <= 0 then 0 else 2) + (x mod 2))
A321861: 0 1 2 1 2 3 2 3 2 3 2 3 2 3 2 3
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) - (x mod 2))
A025823: 1 0 1 0 1 0 1 0 1 1 2 1 2 1 2 1
((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) - (x mod 2))
A025826: 1 0 1 0 1 0 1 0 1 0 2 1 2 1 2 1
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else (x mod 2))
A244415: 0 1 0 1 0 1 0 2 0 1 0 1 0 1 0 2
(if x <= 0 then 1 else (((x mod (2 + 2)) - 2) * (x mod 2)))
A163805: 1 ~1 0 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 1
(if x <= 0 then 1 else ((2 - (x mod (2 + 2))) * (x mod 2)))
A117569: 1 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 1 0 ~1
loop(\(x,i).((x * 2) * 2),(x div 2),(2 - (x mod 2)))
A135520: 2 1 8 4 32 16 128 64 512 256 2048 1024 8192 4096 32768 16384
loop(\(x,i).(((i + 1) div 2) * x),x,(2 - (x mod 2)))
A092186: 2 1 2 2 8 12 72 144 1152 2880 28800 86400 1036800 3628800 50803200 203212800
((if x <= 0 then 2 else ((x * x) * x)) div (2 - (x mod 2)))
A129204: 1 1 4 27 32 125 108 343 256 729 500 1331 864 2197 1372 3375
(loop(\(x,i).(((x + 2) * x) * 2),x,2) + (x mod 2))
A007759: 2 17 576 665857 886731088896 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(x - 1),((x * 2) - (x mod 2)))
A335873: 0 1 4 10 48 216 1440 9360 80640 685440 7257600 76204800 958003200 11975040000 174356582400 2528170444800
loop(\(x,i).(((x * 2) + 1) * 2),(x div 2),(x mod 2))
A061547: 0 1 2 6 10 26 42 106 170 426 682 1706 2730 6826 10922 27306
loop(\(x,i).(((2 + 1) * x) + 2),(x div 2),(x mod 2))
A192225: 0 1 2 5
A062318: 0 1 2 5 8 17 26 53 80 161 242 485 728 1457 2186 4373
loop(\(x,i).(1 - x),(x div 2),((0 - x) * (x mod 2)))
A309215: 0 ~1 1 4 0 ~5 1 8 0 ~9 1 12 0 ~13 1 16
(1 - loop(\(x,i).((1 - (x * 2)) * 2),x,(x mod 2)))
A113870: 1 3 7 39 103 615 1639 9831 26215 157287 419431 2516583 6710887 40265319 107374183 644245095
((x mod 2) - loop(\(x,i).((1 - x) * 2),x,(x mod 2)))
A193652: 0 1 2 3 10 11 42 43 170 171 682 683 2730 2731 10922 10923
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,2)
A334603: 2 22 242 2662 29282 322102 3543122 38974342 428717762 4715895382 51874849202 570623341222 6276856753442 69045424287862 759499667166482 8354496338831302
loop(\(x,i).((x mod (((2 + 2) * 2) + 1)) * x),x,2)
A110365: 2 4 16 112 448 3136 12544 87808 351232 2458624 9834496 68841472 275365888 1927561216 7710244864 53971714048
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,2)
A198647: 2 20 146 1028 7202 50420 352946 2470628 17294402 121060820 847425746 5931980228 41523861602 290667031220 2034669218546 14242684529828
loop(\(x,i).(((x + 2) div ((i mod 2) + 1)) + x),x,2)
A117862: 2 4 10 16 34 52 106 160 322 484 970 1456 2914 4372 8746 13120
((if (x mod 2) <= 0 then 1 else x) - (((1 - x) * x) div 2))
A128918: 1 1 2 6 7 15 16 28 29 45 46 66 67 91 92 120
((loop(\(x,i).((x * 2) * 2),(x - 1),x) + x) * 2)
A229135: 0 4 20 102 520 2570 12300 57358 262160 1179666 5242900 23068694 100663320 436207642 1879048220 8053063710
((loop(\(x,i).((2 + 1) * x),(x - 1),x) + x) div 2)
A082133: 0 1 4 15 56 205 732 2555 8752 29529 98420 324775 1062888 3454373 11160268 35872275
loop(\(x,i).((((i + 1) * i) * (i + 1)) + x),x,2)
A087645: 2 6 24 72 172 352 646 1094 1742 2642 3852 5436 7464 10012 13162 17002
loop(\(x,i).((((i + 1) mod (2 + 1)) + 2) * x),x,2)
A076508: 2 8 16 48 192 384 1152 4608 9216 27648 110592 221184 663552 2654208 5308416 15925248
(loop(\(x,i).(((x div 2) * (x + 1)) + 2),x,x) div 2)
A051832: 0 1 7 133
((loop(\(x,i).((2 + 1) * x),(x - 2),x) + x) div 2)
A229472: 0 1 2 6 20 70 246 854 2920 9846 32810 108262 354300 1151462 3720094 11957430
((loop(\(x,i).((i + x) + x),x,0) - (x * x)) div 2)
A002662: 0 0 0 1 5 16 42 99 219 466 968 1981 4017 8100 16278 32647
(((x div (if (x - 2) <= 0 then 1 else 2)) + (x * x)) div 2)
A118026: 0 1 3 5 9 13 19 26 34 42 52 63 75 87 101 116
(loop(\(x,i).(((i + x) - 1) * x),2,(x * x)) div 2)
A071231: 0 1 136 3321 32896 195625 840456 2883601 8390656 21526641 50005000 107186761 215001216 407879641 737913736 1281470625
((loop(\(x,i).((i + x) + x),x,2) - (x * x)) div 2)
A084634: 1 2 4 9 21 48 106 227 475 978 1992 4029 8113 16292 32662 65415
loop(\(x,i).(((x * x) div 2) + 1),x,((x * x) + 2))
A124275: 2 5 181
((if (x - 2) <= 0 then 1 else (0 - x)) + ((x * x) * 2))
A056287: 1 3 9 15 28
((if (x mod (2 + 2)) <= 0 then x else 2) + ((x * x) div 2))
A161337: 0 2 4 6 12 14 20 26
((loop(\(x,i).((x * x) * x),2,x) + (x * x)) div 2)
A168125: 0 1 258 9846 131080 976575 5038866 20176828 67108896 193710285 500000050 1178973906 2579890248 5302249771 10330523490 19221679800
((loop(\(x,i).(x * x),2,(x * x)) + (x * x)) div 2)
A168124: 0 1 130 3285 32776 195325 839826 2882425 8388640 21523401 50000050 107179501 214990920 407865445 737894626 1281445425
(((loop(\(x,i).((x * x) * x),2,x) + x) * x) div 2)
A168126: 0 1 514 29529 524296 4882825 30233106 141237649 536870944 1743392241 5000000050 12968712361 30958682184 68929246009 144627327586 288325195425
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 0) + x)
A178787-A072778: 1 2 3 4 5 6 7 8 9 10 11 11 12 13 14 15
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x)
A004182: 0 1 2 3 4 5 6 0 8 9 10 11 12 13 14 15
((if (x mod 2) <= 0 then (((x + 2) * 2) + 1) else 0) - x)
A158552: 5 ~1 7 ~3 9 ~5 11 ~7 13 ~9 15 ~11 17 ~13 19 ~15
((if (x mod 2) <= 0 then ((x * 2) * (2 + 1)) else 0) + x)
A317314: 0 1 14 3 28 5 42 7 56 9 70 11 84 13 98 15
((if (x mod 2) <= 0 then (((x * 2) * 2) * 2) else 0) + x)
A317318: 0 1 18 3 36 5 54 7 72 9 90 11 108 13 126 15
((if ((x div (2 + 2)) mod 2) <= 0 then (2 + 2) else 0) + x)
A244586: 4 5 6 7 4 5 6 7 12 13 14 15 12 13 14 15
(loop(\(x,i).((i + 1) * (x + 1)),(x - 2),0) * x)
A038157: 0 0 0 6 36 200 1230 8652 69272 623520 6235290 68588300 823059732 10699776672 149796873590 2246953104060
(loop(\(x,i).(((x + 2) * 2) + i),(x - 2),0) + x)
A296954: 0 1 2 8 20 44 92 188 380 764 1532 3068 6140 12284 24572 49148
((if (x mod 2) <= 0 then ((x div 2) + (x * 2)) else 0) + x)
A195159: 0 1 7 3 14 5 21 7 28 9 35 11 42 13 49 15
(loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0) * x)
A093835: 0 1 2 9 20 55 126 301 680 1539 3410 7513 16380 35503 76454 163845
(loop(\(x,i).(x - ((i * i) div (0 - 2))),x,0) * x)
A325517: 0 1 6 24 64 145 282 504 832 1305 1950 2816 3936 5369 7154 9360
(loop(\(x,i).(((i * i) + x) - (i div 2)),x,0) * x)
A325656: 0 1 8 36 104 245 492 896 1504 2385 3600 5236 7368 10101 13524 17760
(loop(\(x,i).(((i div 2) * (i div 2)) + x),x,0) * x)
A289161: 0 0 2 6 24 50 114 196 352 540 850 1210 1752 2366 3234 4200
(loop(\(x,i).((x mod ((i * 2) - 1)) + i),x,0) - x)
A091068: 0 0 1 3 6 1 6 12 4 12 2 12 0 12 25 10
(loop(\(x,i).i,(((x - 2) div (2 + 1)) - 1),1) + x)
A317468-A064683: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 17 18
(loop(\(x,i).i,((((x + 1) div 2) div 2) - 1),1) + x)
A338973-A191328: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 18
(if ((x - 1) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004185: 0 1 2 3 4 5 6 7 8 9 1 11 12 13 14 15
(loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) + x)
A033063-A032961-A008729: 1 2 3 4 5 6 7 8 9 10 11 13 15 17 19 21
(loop(\(x,i).i,((x + 1) div ((2 + 2) + 1)),1) + x)
A253643-A052044: 1 2 3 4 5 6 7 8 9 11 12 13 14 15 17 18
(if ((x - 1) mod ((2 + 2) * (2 + 1))) <= 0 then 1 else x)
A103303: 0 1 2 3 4 5 6 7 8 9
A106614: 0 1 2 3 4 5 6 7 8 9 10 11 12 1 14 15
((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 1) * x)
A317324: 0 1 24 3 48 5 72 7 96 9 120 11 144 13 168 15
(1 div (if (x mod ((2 + 2) * (2 + 1))) <= 0 then 1 else x))
A256434: 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
(loop(\(x,i).(i + 2),((x - 2) div (2 + 1)),1) + x)
A260113: 1 2 3 4 5 8 9 10 12 13 14 16 17 18 20 21
((if ((2 - x) + 2) <= 0 then (x mod (2 + 1)) else 1) + x)
A318936-A088750: 1 2 3 4 5 7 6 8 10 9 11 13 12 14 16 15
(loop(\(x,i).((i * x) + 2),(x mod (2 + 1)),1) + x)
A121512: 1 4 10 4 7 13 7 10 16 10 13 19 13 16 22 16
(if x <= 0 then 1 else ((((x + 2) * (x + 1)) + 1) * x))
A135300: 1 7 26 63 124 215 342 511 728 999 1330 1727 2196 2743 3374 4095
(loop(\(x,i).((i + x) + (x + 2)),(x - 1),1) + x)
A154117: 1 2 7 17 37 77 157 317 637 1277 2557 5117 10237 20477 40957 81917
(((1 - x) mod loop(\(x,i).(x * 2),(x - 1),1)) + x)
A127904: 0 1 3 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385
(loop(\(x,i).(((i + x) * 2) + x),(x - 1),1) + x)
A060816: 1 2 7 22 67 202 607 1822 5467 16402 49207 147622 442867 1328602 3985807 11957422
((if (2 - x) <= 0 then ((x * x) * (x - 1)) else 1) + x)
A228398: 1 2 6 21 52 105 186 301 456 657 910 1221 1596 2041 2562 3165
(loop(\(x,i).(((x + 2) * 2) + i),(x - 1),1) + x)
A154118: 1 2 9 23 51 107 219 443 891 1787 3579 7163 14331 28667 57339 114683
((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) * x)
A317320: 0 1 20 3 40 5 60 7 80 9 100 11 120 13 140 15
(loop(\(x,i).i,(x - (((2 + 2) + 1) * 2)),1) + x)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A294358-A262358-A246074-A033064-A032962-A008730: 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20
(if x <= 0 then 1 else (((((x * x) + 1) * 2) + 1) * x))
A288534: 1 5 22 63 140 265 450 707 1048 1485 2030 2695 3492 4433 5530 6795
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else 1) + x)
A159062: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 16
(loop(\(x,i).(i * 2),(((x - 1) div 2) div 2),1) + x)
A230999: 1 2 3 4 5 7 8 9 10 13 14 15 16 19 20 21
(if x <= 0 then 1 else (((((2 + 2) * 2) * 2) + 1) * x))
A048843: 1 17 34 51 68 85 102 119 136 153 170 187 204 221 238 255
loop(\(x,i).(2 - i),(x - (((2 + 2) * 2) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A225693: 0 1 2 3 4 5 6 7 8 9 1 0 ~1 ~2 ~3 ~4
loop(\(x,i).(i * i),(x - (((2 + 2) * 2) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A113018-A113009-A112875: 0 1 2 3 4 5 6 7 8 9 1 4 9 16 25 36
(1 div (if (x mod ((x mod (2 + 2)) + 2)) <= 0 then 1 else x))
A064391: 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1
(1 mod (if (x mod ((x mod (2 + 2)) + 2)) <= 0 then 1 else x))
A165560: 0 0 1 1 0 1 1 1 0 0 1 1 0 1 1 0
(1 div (if (x mod (((x div 2) + 2) + 2)) <= 0 then 1 else x))
A291748-A281084-A279280: 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0
(1 div (if (x mod (((x mod 2) + 2) + 2)) <= 0 then 1 else x))
A178725: 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1
loop(\(x,i).(i + x),((x - 1) div ((2 + 2) + 1)),x)
A067570: 0 1 2 3 4 5 7
A004764: 0 1 2 3 4 5 7 8 9 10 11 14 15 16 17 18
loop(\(x,i).((x * x) div (x + 2)),((2 + 2) + 1),x)
A340184: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5
loop(\(x,i).(x * x),(2 + 1),(((2 + 2) + 1) * x))
A016856: 0 390625 100000000 2562890625 25600000000 152587890625 656100000000 2251875390625 6553600000000 16815125390625 39062500000000 83733937890625 167961600000000 318644812890625 576480100000000 1001129150390625
loop(\(x,i).((x * x) * x),1,(((2 + 2) + 1) * x))
A016851: 0 125 1000 3375 8000 15625 27000 42875 64000 91125 125000 166375 216000 274625 343000 421875
loop(\(x,i).((x * x) * x),2,(((2 + 2) + 1) * x))
A016857: 0 1953125 1000000000 38443359375 512000000000 3814697265625 19683000000000 78815638671875 262144000000000 756680642578125 1953125000000000 4605366583984375 10077696000000000 20711912837890625
((if ((2 - x) + 2) <= 0 then ((x - 2) * 2) else 1) + x)
A275646: 1 2 3 4 8 11
(1 mod (if (x mod ((2 - (x mod 2)) + 2)) <= 0 then 1 else x))
A059125: 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0
(loop(\(x,i).((x * x) - 2),(2 + 1),(2 + 1)) * x)
A004971-A004951: 0 2207 4414 6621 8828 11035 13242 15449 17656 19863 22070 24277 26484 28691 30898 33105
(((loop(\(x,i).(x * 2),x,2) + 1) div (2 + 1)) * x)
A193449: 0 1 6 15 44 105 258 595 1368 3069 6830 15015 32772 70993 152922 327675
(if (x mod 2) <= 0 then (((x * 2) + 1) * (2 + 1)) else x)
A261671: 3 1 15 3 27 5 39 7 51 9 63 11 75 13 87 15
loop(\(x,i).(((i + x) * x) div (i + 1)),(2 + 1),x)
A061319: 0 1 10 76 430 1870 6601 19810 52326 124785 273790 560626 1083160 1991626 3509065 5957260
loop(\(x,i).(i + x),(((x - 1) div 2) div (2 + 1)),x)
A337582-A031992-A023749-A022556-A004828-A004765-A003726: 0 1 2 3 4 5 6 8 9 10 11 12 13 16 17 18
loop(\(x,i).(i * 2),(x - ((2 + 2) * (2 + 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A043272: 0 1 2 3 4 5 6 7 8 9 10 11 12 2 4 6
loop(\(x,i).((((i + x) * 2) + x) * 2),(2 + 1),x)
A154518: 204 420 636 852 1068 1284 1500 1716 1932 2148 2364 2580 2796 3012 3228 3444
loop(\(x,i).((i + 2) + 2),((x div 2) div (2 + 1)),x)
A194259: 0 1 2 3 4 5 5 5 5 5 5 5 6 6 6 6
((if (x mod 2) <= 0 then x else ((1 - x) div (2 + 1))) + x)
A198473-A026185: 0 1 4 2 8 3 12 5 16 6 20 7 24 9 28 10
loop(\(x,i).(((i * i) * (x + 1)) + x),(2 + 1),x)
A044812: 99 199 299 399 499 599 699 799 899 999 1099 1199 1299 1399 1499 1599
loop(\(x,i).(((x div 2) div (i + 1)) + x),(2 + 1),x)
A201804: 0 1 2 3 5 7 9 10 12 13 15 16 19 20 21 23
(if (x mod 2) <= 0 then (((x div 2) + x) * (2 + 1)) else x)
A195312: 0 1 9 3 18 5 27 7 36 9 45 11 54 13 63 15
((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x))
A265133-A064506: 0 1 2 2 3 4 4 5 6 6 7 8 9 9 10 11
(loop(\(x,i).(((i + 1) * x) + 1),(x - 2),1) * x)
A296964: 0 1 2 9 40 205 1236 8659 69280 623529 6235300 68588311 823059744 10699776685 149796873604 2246953104075
((if ((x + 1) mod (2 + 2)) <= 0 then (x - 2) else 1) + x)
A222259: 1 2 3 4 5 6 7 12 9 10 11 20 13 14 15 28
(loop(\(x,i).(((i + 1) * x) + 2),(x - 2),1) * x)
A296944: 0 1 2 12 56 290 1752 12278 98240 884178 8841800 97259822 1167117888 15172532570 212415456008 3186231840150
((loop(\(x,i).((x - i) * x),2,(x - 2)) + 1) * x)
A001095: 0 1 2 3 4 125 726 2527 6728 15129 30250 55451 95052 154453 240254 360375
((loop(\(x,i).((x * x) - 1),2,(x * 2)) + 1) * x)
A069073: 0 9 450 3675 15876 49005 122694 266175 520200 938961 1592010 2566179 3967500 5923125 8583246 12123015
((if ((x + 2) mod (2 + 2)) <= 0 then (x div 2) else 1) + x)
A279407-A068384: 1 2 3 4 5 6 9 8
(loop(\(x,i).((x div 2) + x),2,((x div 2) + 1)) - x)
A274009: 1 0 2 1 2 1 3 2 2 1 3 2 3 2 4 3
(((if x <= 0 then 1 else (2 + 2)) * ((x mod 2) + 1)) - x)
A113959: 1 7 2 5
((((x + 1) * x) div 2) + (if (x mod 2) <= 0 then 1 else x))
A266257: 1 2 4 9 11 20 22 35 37 54 56 77 79 104 106 135
loop(\(x,i).(((x * x) * (x * x)) + 1),x,(1 - x))
A246649: 1 1 17 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - 1) * x) * 2),x,(1 - x))
A119837: 1 0 ~12 ~240 ~5040 ~120960 ~3326400 ~103783680 ~3632428800 ~141145804800 ~6033983155200 ~281585880576000 ~14248245557145600 ~777177030389760000 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - x)
A024141: 1 11 142 1725 20732 248827 2985978 35831801 429981688 5159780343 61917364214 743008370677 8916100448244 106993205379059 1283918464548850 15407021574586353
((if ((x - 1) mod ((2 + 2) * 2)) <= 0 then x else 1) + x)
A199343: 1 2 3 4 5 6 7 8 9 18 11 12 13 14 15 16
(loop(\(x,i).(((i * x) - (i div 2)) + 2),x,1) + x)
A220444: 1 4 9 25 92
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + x)
A081552: 1 11 102 1003 10004 100005 1000006 10000007 100000008 1000000009 10000000010 100000000011 1000000000012 10000000000013 100000000000014 1000000000000015
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - x)
A024115: 1 9 98 997 9996 99995 999994 9999993 99999992 999999991 9999999990 99999999989 999999999988 9999999999987 99999999999986 999999999999985
(((0 - x) - 2) mod (loop(\(x,i).(x * 2),x,1) - x))
A052515: 0 0 0 0 6 20 50 112 238 492 1002 2024 4070 8164 16354 32736
(loop(\(x,i).(((x + 1) * x) - (i mod 2)),x,1) - x)
A141415: 1 0 0 2 26
(1 div loop(\(x,i).(((1 - x) * x) + 1),(x + 1),x))
A071759: 1 1 ~1 ~1 ~1 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * (x * x)) + 1),(x + 1),x)
A128398: 1 17 4611686018427387903
loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) + x))
A016898: 16 81 196 361 576 841 1156 1521 1936 2401 2916 3481 4096 4761 5476 6241
loop(\(x,i).(x * x),2,(((2 + 2) * (x + 1)) + x))
A016900: 256 6561 38416 130321 331776 707281 1336336 2313441 3748096 5764801 8503056 12117361 16777216 22667121 29986576 38950081
(loop(\(x,i).((i + 1) * x),(2 + 2),(x + 1)) + x)
A158130: 120 241 362 483 604 725 846 967 1088 1209 1330 1451 1572 1693 1814 1935
(loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) + x)
A158308: 360 721 1082 1443 1804 2165 2526 2887 3248 3609 3970 4331 4692 5053 5414 5775
(loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) + x)
A176145: 0 1 5 18 49 110 216 385 638 999 1495 2156 3015 4108 5474 7155
((loop(\(x,i).((i + x) + x),x,2) * (x + 1)) - x)
A288958: 2 9 34 105 286 721 1730 4017 9118 20361 44914 98137 212798 458529 982786 2096865
loop(\(x,i).(((x * x) - 1) * x),1,((x + 1) * x))
A120436: 0 6 210
(loop(\(x,i).(x * x),2,(x + 2)) - ((x + 1) * x))
A269584: 16 79 250 613 1276 2371 4054 6505 9928 14551 20626 28429 38260 50443 65326 83281
loop(\(x,i).(((2 + 2) * (x + 1)) + x),(x + 1),x)
A064751: 4 49 374 2499 15624 93749 546874 3124999 17578124 97656249 537109374 2929687499 15869140624 85449218749 457763671874 2441406249999
loop(\(x,i).((((i + 1) * i) div 2) + x),(x + 1),x)
A341209: 1 5 12 23 39 61 90 127 173 229 296 375 467 573 694 831
loop(\(x,i).((i div ((x * 2) + 1)) + 1),(x - 1),x)
A307707: 0 1 1 1 2 1 2 2 2 2 2 3 2 3 2 3
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x - 1),x)
A081128: 0 1 24 432 6912 103680 1492992 20901888 286654464 3869835264 51597803520 681091006464 8916100448256 115909305827328 1497904875307008 19258776968232960
loop(\(x,i).((((i + 2) + 1) * x) * 2),(x - 1),x)
A058667: 0 1 16 240 3840 67200 1290240 27095040 619315200 15328051200 408748032000 11690193715200 357082280755200 11605174124544000 399932154445824000 4611686018427387903
((((2 + 2) * 2) mod (x + 1)) div (if x <= 0 then 1 else x))
A275451-A086074: 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0
((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x))
A343608-A330633-A257850-A257297-A218530-A217657-A207505-A171765-A143289-A088117-A056967-A037887-A037851-A035930: 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5
(((((x div 2) mod 2) + x) div 2) + (if x <= 0 then 1 else x))
A301729: 1 1 3 5 6 7 9 11 12 13 15 17 18 19 21 23
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + x)
A226199: 1 8 51 346 2405 16812 117655 823550 5764809 40353616 282475259 1977326754 13841287213 96889010420 678223072863 4747561509958
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - x)
A024076: 1 6 47 340 2397 16802 117643 823536 5764793 40353598 282475239 1977326732 13841287189 96889010394 678223072835 4747561509928
loop(\(x,i).((i * i) + x),x,(((x * x) - 1) * x))
A007585: 0 1 11 38 90 175 301 476 708 1005 1375 1826 2366 3003 3745 4600
((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) + x)
A298534-A291442-A285356-A272477-A122526-A114886-A095392-A026495-A022772-A004440-A004437: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + x)
A342526-A342522-A338190-A334969-A325778-A325397-A325369-A325361-A325328-A322547-A321292-A318536-A317710-A317101-A316529-A316521-A304678-A304449-A303554-A299702-A289812-A285100-A283550-A271113-A263837-A255724-A242414-A236510-A206551-A168186-A160453-A131881-A098240-A085924-A085156-A072774-A065200-A053460-A048991-A035332: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17
(loop(\(x,i).i,(x - (((2 + 1) * 2) + 1)),2) + x)
A122638: 2 3 4 5 6 7 8 9 9 11 13 15 17 19 21 23
((x mod (if (((x div 2) - 2) - 2) <= 0 then 1 else 2)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A228723: 0 1 2 3 4 5 6 7 8 9 10 12 12 14 14 16
loop(\(x,i).(x - 2),(x - (((2 + 2) + 1) * 2)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A334387-A287796: 0 1 2 3 4 5 6 7 8 9 10 9 8 7 6 5
loop(\(x,i).(((x * x) div ((x + 2) + 2)) + 1),2,x)
A116572: 1 1 1 1 2 2 3 3 4 5 6 7 8 8 9 10
loop(\(x,i).(i + x),(((x - 2) div (2 + 1)) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247814: 0 1 2 3 4 5 6 7 8 9 10 12 13 14 17 18
((if (x - (2 + 2)) <= 0 then 1 else ((2 + 1) * 2)) + x)
A316538: 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21
loop(\(x,i).(((2 + 1) * x) + 2),((2 + 1) * 2),x)
A158395: 728 1457 2186 2915 3644 4373 5102 5831 6560 7289 8018 8747 9476 10205 10934 11663
((loop(\(x,i).((i + x) * 2),x,(2 + 1)) div 2) - x)
A026624: 1 3 8 20 46 100 210 432 878 1772 3562 7144 14310 28644 57314 114656
(if x <= 0 then 1 else ((((x * x) mod (2 + 1)) + 2) * x))
A066393: 1 3 6 6 12 15 12 21 24 18 30 33 24 39 42 30
(x - loop(\(x,i).(x - (x mod ((i + 2) + 1))),2,x))
A066323: 0 1 2 3 4 5 6 7 3 4 5 6 2 3 4 5
loop(\(x,i).((((x + 2) * x) div (i + 2)) + 1),2,x)
A151521: 1 3 4 13 25
loop(\(x,i).(((((x + 2) + 2) + 1) * x) + 1),2,x)
A058795: 7 85 301 751 1555 2857 4825 7651 11551 16765 23557 32215 43051 56401 72625 92107
((loop(\(x,i).((x * 2) - (i mod 2)),x,1) div 2) * x)
A099429: 0 0 2 3 12 25 66 147 344 765 1710 3751 8196 17745 38234 81915
loop(\(x,i).(((2 + 2) * (2 + 1)) div (x + 1)),2,x)
A265533: 0 1 2 3 4 4 6 6 6 6 6 6 12 12 12 12
(loop(\(x,i).((x * x) * x),1,((x + 1) * 2)) * x)
A188785: 0 64 432 1536 4000 8640 16464 28672 46656 72000 106480 152064 210912 285376 378000 491520
loop(\(x,i).(((2 + 1) * x) + 2),((x + 1) * 2),x)
A064755: 8 161 2186 26243 295244 3188645 33480782 344373767 3486784400 34867844009 345191655698 3389154437771 33044255768276 320275094369453 3088366981419734 29648323021629455
(((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) + x)
A113637: 0 2 3 3 5 5 7 7 8 9 11 11 13 13 14 15
loop(\(x,i).((x * x) div (2 + 1)),((x - 1) div 2),x)
A291673: 0 1 2 3 5 21
loop(\(x,i).((((i + x) + 2) * x) div (i + 1)),2,x)
A014629: 0 4 15 39 84 160 279 455 704 1044 1495 2079 2820 3744 4879 6255
((2 mod ((if x <= 0 then 1 else x) div ((0 - 2) - 2))) + x)
A252373: 0 1 2 3 4 5 6 7 8 8 9 10 11 11 12 13
(if ((x - 2) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else x)
A103303: 0 1 2 3 4 5 6 7 8 9
A333921: 0 1 2 3 4 5 6 7 8 9 10 11 2 13 14 15
(((if (x - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) + x)
A082463: 1 2 3 4 5 6 7 9 10
A187226: 1 2 3 4 5 6 7 9 10 11 12 14 15 16 17 19
loop(\(x,i).((((x div 2) mod 2) * (x - 1)) div 2),2,x)
A292256: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 3
(loop(\(x,i).((((x + 2) * i) * x) + 1),2,2) * x)
A004946-A004926: 0 199 398 597 796 995 1194 1393 1592 1791 1990 2189 2388 2587 2786 2985
((loop(\(x,i).((x + 2) * (x + 2)),2,2) - 2) * x)
A004967-A004947: 0 322 644 966 1288 1610 1932 2254 2576 2898 3220 3542 3864 4186 4508 4830
(loop(\(x,i).(((x * 2) + 1) * 2),(2 + 2),2) * x)
A200860: 0 682 1364 2046 2728 3410 4092 4774 5456 6138 6820 7502 8184 8866 9548 10230
((x mod (2 + 1)) div (if (x mod (2 + 2)) <= 0 then 2 else x))
A342000: 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0
loop(\(x,i).(x - (((1 - x) * x) * (2 + 2))),2,x)
A264895: 0 1 370 2835 10660 28645 63126 121975 214600 351945 546490 812251 1164780 1621165 2200030 2921535
loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),2,x)
A102438: 44 144 244 344 444 544 644 744 844 944 1044 1144 1244 1344 1444 1544
(x - loop(\(x,i).((((x + 1) * x) div 2) - 2),2,x))
A110426: 1 3 3 ~5 ~30 ~84 ~182 ~342 ~585 ~935 ~1419 ~2067 ~2912 ~3990 ~5340 ~7004
(x - loop(\(x,i).(((1 - x) * (x + 2)) div 2),2,x))
A086602: 0 0 2 12 39 95 195 357 602 954 1440 2090 2937 4017 5369 7035
loop(\(x,i).((((x - i) * x) div (x + 2)) + 2),2,x)
A173777: 2 2 2 2 3 3 4 5 5 6 7 8 9 10 11 12
(loop(\(x,i).((i + x) + x),((x div 2) * 2),2) + x)
A281500: 2 3 14 15 62 63 254 255 1022 1023 4094 4095 16382 16383 65534 65535
(x - loop(\(x,i).(((i * x) + (x div 2)) div 2),2,x))
A334440: 0 1 1 1 1 2 1 1 1 2 2 1 1 2 2 2
loop(\(x,i).((i + x) - (x div ((i + 2) * 2))),2,x)
A154660: 3 4 5 6 7 8
A196033: 3 4 5 6 7 8 8 9 9 10 11 12 12 13 14 15
((if ((x div (2 + 1)) - 2) <= 0 then 1 else (2 + 2)) + x)
A092598-A032973: 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19
loop(\(x,i).((((x + 2) + 1) * i) + 1),(2 + 2),x)
A126979: 233 257 281 305 329 353 377 401 425 449 473 497 521 545 569 593
loop(\(x,i).(((i + x) * x) div (i + 1)),(2 + 2),x)
A061321: 0 1 28 1216 37324 700876 8719921 78503068 547643916 3114359073 14992411852 62860750876 234647983648 793316418076
(((if (x - 2) <= 0 then (2 + 1) else x) + (2 + 2)) * x)
A164005: 0 7 14 21 32 45 60 77 96 117 140 165 192 221 252 285
loop(\(x,i).(((2 + 2) * (x + 1)) + x),(2 + 2),x)
A158374: 624 1249 1874 2499 3124 3749 4374 4999 5624 6249 6874 7499 8124 8749 9374 9999
((loop(\(x,i).((x + 1) * x),2,x) * (2 + 2)) - x)
A248698: 0 23 166 621 1676 3715 7218 12761 21016 32751 48830 70213 97956 133211 177226 231345
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) + x)
A113022: 4 21 102 503 2504 12505 62506 312507 1562508 7812509 39062510 195312511 976562512 4882812513 24414062514 122070312515
loop(\(x,i).(x - (((i * x) * (0 - x)) div 2)),2,x)
A235367: 0 6 20 72 156 342 600 1056 1640 2550 3660 5256 7140 9702 12656 16512
loop(\(x,i).((((x * x) * (2 + 1)) - x) div 2),2,x)
A232713: 0 1 35 210 715 1820 3876 7315 12650 20475 31465 46376 66045 91390 123410 163185
loop(\(x,i).(((2 + 2) * (2 + 1)) div (x + 2)),2,x)
A070319-A068509-A057142: 1 2 2 3 3 4 4 4 4 4 4 6 6 6 6 6
loop(\(x,i).((((2 + 2) + 1) * 2) div (x + 2)),2,x)
A048689: 1 2 2 2 3 3 3 3 3 5 5 5 5 5 5 5
(((x * 2) mod (2 + 1)) mod (if (x mod 2) <= 0 then 2 else x))
A056560: 0 0 1 0 0 1 0 2 1 0 0 1 0 2 1 0
(((loop(\(x,i).((i + x) + x),x,x) + 2) * 2) - x)
A291064: 4 9 26 71 180 433 1006 2283 5096 11237 24546 53215 114652 245721 524246 1114067
((loop(\(x,i).(((x - i) * x) + i),x,2) div 2) + x)
A271553: 1 2 4 9 64
loop(\(x,i).(((x div 2) div ((i + 2) + 1)) + x),2,x)
A084689: 0 1 2 3 4 5 6 7 9
A039270-A039208: 0 1 2 3 4 5 6 7 9 11 12 13 14 15 16 17
(loop(\(x,i).(((i * x) - 1) * (i + 1)),x,2) + x)
A300898: 2 3 11 107
loop(\(x,i).((((x div 2) + 2) div (i + 1)) + x),2,x)
A187911: 1 3 4 5 7 8 10 11 13 14 15 17 19 20 21 22
loop(\(x,i).((x div ((i + 2) * (i + 1))) + x),2,x)
A067570: 0 1 2 3 4 5 7
A218444-A172152: 0 1 2 3 4 5 7 8 9 10 11 13 15 16 17 18
(x - loop(\(x,i).(((x - i) div (2 + 2)) - x),2,x))
A344497: 0 1 1 2 2 3 3 3 4 5 5 5 5 6 7 7
loop(\(x,i).(0 - ((x div ((i + 2) + 2)) + x)),2,x)
A047363: 0 2 3 4 5 7 9 10 11 12 14 16 17 18 19 21
loop(\(x,i).((x div ((i + 2) + (x div 2))) + x),2,x)
A333841-A231236: 0 1 2 3 4 6 8 9 10 11 12 13 14 15 16 17
(loop(\(x,i).((((i div 2) * i) + x) + 2),x,2) + x)
A027613: 2 5 10 16 27 40
loop(\(x,i).(((((x * 2) * 2) + i) * 2) + x),2,x)
A156795: 22 103 184 265 346 427 508 589 670 751 832 913 994 1075 1156 1237
compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)
A268174: 1 3 5 9 11 15 17 21 27 29 35 39 41 45 51 57
compr(\x.(loop(\(x,i).(i * x),(x div 2),1) mod (x + 2)),x)
A061837: 10 13 14 16 18 19 22 23 25 26 28 30 31 33 34 37
compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)
A249426-A040976: 0 1 3 5 9 11 15 17 21 27 29 35 39 41 45 51
loop(\(x,i).((x * x) div ((x mod 2) + 1)),(x - 2),x)
A271551: 0 1 2 4 256
loop(\(x,i).(((x + 1) * 2) + 1),x,((x - 2) * x))
A036826: 0 1 9 45 173 573 1725 4861 13053 33789 84989 208893 503805 1196029 2801661 6488061
(loop(\(x,i).((x * x) * (2 + 2)),2,(x * 2)) * x)
A016805: 0 1024 32768 248832 1048576 3200000 7962624 17210368 33554432 60466176 102400000 164916224 254803968 380204032 550731776 777600000
(loop(\(x,i).((i * x) + 1),(2 + 2),(x * 2)) + x)
A044179: 41 90 139 188 237 286 335 384 433 482 531 580 629 678 727 776
(loop(\(x,i).(((i * x) * x) - 2),2,(x * 2)) * x)
A242850: 0 6 780 6930 30744 96030 241956 526890 1032240 1866294 3168060 5111106 7907400 11811150 17122644 24192090
compr(\x.loop(\(x,i).((1 - x) div 2),(x div 2),(x * 2)),x)
A335033: 0 2 3 6 7 10 11 14 15 16 17 18 19 20 21 22
loop(\(x,i).((x * x) mod ((2 + 2) + 1)),(x div 2),x)
A185057: 0 1 4 4 1 0 1 1 1 1 0 1 1 1 1 0
((if ((x div 2) - 2) <= 0 then (2 + 1) else (x div 2)) + x)
A154660: 3 4 5 6 7 8
A299532: 3 4 5 6 7 8 9 10 12 13 15 16 18 19 21 22
((if (x mod 2) <= 0 then 1 else ((x div 2) * (x div 2))) + x)
A079097: 1 1 3 4 5 9 7 16 9 25 11 36 13 49 15 64
loop(\(x,i).((x * 2) - (x mod 2)),2,((x div 2) + x))
A151973: 0 1 9 16 24 25 33 40 48 49 57 64 72 73 81 88
(if x <= 0 then 1 else ((((x + 2) * x) - (x div 2)) * x))
A104905: 1 3 14 42
loop(\(x,i).((0 - x) - 1),(x div 2),((x mod 2) * x))
A309214: 0 1 ~1 ~4 0 5 ~1 ~8 0 9 ~1 ~12 0 13 ~1 ~16
((((x div 2) - 1) div (2 + 1)) mod (if x <= 0 then 2 else x))
A226982: 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2
(loop(\(x,i).((x div ((i mod 2) + 2)) + x),x,2) * x)
A187272: 0 2 6 12 24 40 72 112 192 288 480 704 1152 1664 2688 3840
(loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) + x)
A206332: 2 5 6 11 12 13 14 23 24 25 26 27 28 29 30 47
loop(\(x,i).((0 - x) mod (((2 + 2) * 2) + i)),2,x)
A004720: 0 2 3 4 5 6 7 8 9 0 2 3 4 5 6 7
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + i),2,x)
A265948: 12 112 212 312 412 512 612 712 812 912 1012 1112 1212 1312 1412 1512
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else x) + x)
A032950: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 30
(loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),x) + x)
A062028: 0 2 4 6 8 10 12 14 16 18 11 13 15 17 19 21
((loop(\(x,i).((x + 2) * (x + 2)),2,1) * x) * x)
A017390: 0 121 484 1089 1936 3025 4356 5929 7744 9801 12100 14641 17424 20449 23716 27225
((if (x mod 2) <= 0 then ((1 - x) div (2 + 1)) else x) + x)
A338206: 0 2 1 6 3 10 4 14 5 18 7 22 8 26 9 30
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,x)
A033713: 0 9 189 2889 38889 488889 5888889 68888889 788888889 8888888889 98888888889 1088888888889 11888888888889 128888888888889 1388888888888889 14888888888888889
((loop(\(x,i).(((x * x) * 2) - 1),2,2) * x) * x)
A174338: 0 97 388 873 1552 2425 3492 4753 6208 7857 9700 11737 13968 16393 19012 21825
(loop(\(x,i).((((x - 2) * x) - 1) div 2),2,x) + x)
A133568: 1 2 3 2 5 22
(loop(\(x,i).(((1 - (x * 2)) * 2) * 2),2,x) * x)
A304378: 0 36 200 492 912 1460 2136 2940 3872 4932 6120 7436 8880 10452 12152 13980
loop(\(x,i).(x * x),((x - ((2 + 2) * 2)) * x),x)
A308072-A228052: 0 1 2 3 4 5 6 7 8 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),x) - x)
A135639: 0 839 1678 2517 3356 4195 5034 5873 6712 7551 8390 9229 10068 10907 11746 12585
(x - loop(\(x,i).(((2 - x) * (x div 2)) - 2),x,x))
A079657: 0 3 8 89
loop(\(x,i).((((x * x) - 2) div (i + 2)) + 2),x,x)
A262279: 0 1 2 6 75
loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),x,x)
A294327: 0 18 288 3888 48888 588888 6888888 78888888 888888888 9888888888 108888888888 1188888888888 12888888888888 138888888888888 1488888888888888 15888888888888888
(loop(\(x,i).((x - 2) * (2 + 1)),(x - 2),x) + x)
A261864: 0 2 4 6 16 62
(loop(\(x,i).(((i * 2) + 1) * x),(x - 2),x) * x)
A161120: 0 1 4 27 240 2625 34020 509355 8648640 164189025 3445942500 79222218075 1979900722800 53443570205025 1549547301802500 48028060502296875
(loop(\(x,i).((2 - (x mod 2)) * x),(x - 2),x) * x)
A168251: 0 1 4 9 64 25 576 49 4096 81 25600 121 147456 169 802816 225
((x * 2) - loop(\(x,i).(x div (2 - (x mod 2))),x,x))
A129527: 0 1 3 3 7 5 9 7 15 9 15 11 21 13 21 15
(loop(\(x,i).(((x * x) * x) * (x * x)),2,x) * x)
A089081: 0 1 67108864 2541865828329 4503599627370496 1490116119384765625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * i),(x - 2),1) + (x * x))
A116729-A048840: 1 2 5 12 22 34 48 64 82 102 124 148 174 202 232 264
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (x * x))
A024103: 1 8 77 720 6545 59024 531405 4782920 43046657 387420408 3486784301 31381059488 282429536337 2541865828160 22876792454765 205891132094424
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - (x * x))
A024064: 1 5 32 207 1280 7751 46620 279887 1679552 10077615 60466076 362796935 2176782192 13060693847 78364163900 470184984351
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (x * x))
A024090: 1 7 60 503 4080 32743 262108 2097103 16777152 134217647 1073741724 8589934471 68719476592 549755813719 4398046510908 35184372088607
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (x * x))
A024051: 1 4 21 116 609 3100 15589 78076 390561 1953044 9765525 48828004 244140481 1220702956 6103515429 30517577900
loop(\(x,i).(x div ((x mod 2) - 2)),(2 + 2),(x * x))
A181318: 0 1 1 9 1 25 9 49 4 81 25 121 9 169 49 225
(loop(\(x,i).((x * x) * x),(2 + 1),x) * (x * x))
A122970: 0 1 536870912 68630377364883 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x - 1),x) * (x * x))
A086603: 0 1 24 243 1728 10125 52488 250047 1119744 4782969 19683000 78594219 306110016 1167575877 4374822312 16142520375
(loop(\(x,i).((i + x) + x),(x - 1),x) - (x * x))
A338230: 0 0 1 7 27 81 213 519 1207 2725 6033 13179 28515 61257 130861 278287
(loop(\(x,i).(((x - 1) * x) div 2),2,x) + (x * x))
A037255: 0 1 4 12 31 70 141 259 442 711 1090 1606 2289 3172 4291 5685
(loop(\(x,i).(((i * x) + 2) * x),2,x) * (x * x))
A292282: 0 24 576 4320 19200 63000 169344 395136 829440 1603800 2904000 4983264 8176896 12918360 19756800 29376000
(loop(\(x,i).((2 + 1) * x),(x * 2),x) * (x * x))
A128795: 0 9 648 19683 419904 7381125 114791256 1640558367 22039921152 282429536481 3486784401000 41768190339579 488038239039168 5584479224838813 62773918496412984 694882570819440375
(1 - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024009: 1 0 ~2047 ~177146 ~4194303 ~48828124 ~362797055 ~1977326742 ~8589934591 ~31381059608 ~99999999999 ~285311670610 ~743008370687 ~1792160394036 ~4049565169663 ~8649755859374
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(x * x))
A128786: 0 7 196 3087 38416 420175 4235364 40353607 368947264 3268642167 28247524900 239256535903 1993145356944 16374242758783 132931722278404 1068201339737175
(loop(\(x,i).((x * 2) * (2 + 1)),x,x) * (x * x))
A128792: 0 6 288 5832 82944 972000 10077696 96018048 859963392 7346640384 60466176000 482882881536 3761479876608 28694344753152 215031266279424 1586874322944000
(loop(\(x,i).(((x * 2) * 2) * 2),x,x) * (x * x))
A128794: 0 8 512 13824 262144 4096000 56623104 719323136 8589934592 97844723712 1073741824000 11433202941952 118747255799808 1207813523111936 12068239626469376 118747255799808000
(loop(\(x,i).(x * 2),x,1) - ((x * x) * (x * x)))
A024014: 1 1 ~12 ~73 ~240 ~593 ~1232 ~2273 ~3840 ~6049 ~8976 ~12593 ~16640 ~20369 ~22032 ~17857
(loop(\(x,i).(i * x),x,1) - ((x * x) * (x * x)))
A196411: 1 0 ~14 ~75 ~232 ~505 ~576 2639 36224 356319 3618800 39902159 478980864 6226992239 87178252784 1307674317375
loop(\(x,i).((x * 2) * 2),x,((x * x) * (x * x)))
A062075: 0 4 256 5184 65536 640000 5308416 39337984 268435456 1719926784 10485760000 61408804864 347892350976 1916696264704 10312216477696 54358179840000
(loop(\(x,i).(((2 + 2) + 1) * x),x,x) * (x * x))
A128791: 0 5 200 3375 40000 390625 3375000 26796875 200000000 1423828125 9765625000 64990234375 421875000000 2681884765625 16748046875000 102996826171875
(loop(\(x,i).(x * x),2,((x * x) * x)) * (x * x))
A010802: 0 1 16384 4782969 268435456 6103515625 78364164096 678223072849 4398046511104 22876792454961 100000000000000 379749833583241 1283918464548864 3937376385699289 11112006825558016 29192926025390625
loop(\(x,i).(x * x),2,(((x * x) * x) * (x * x)))
A010808: 0 1 1048576 3486784401 1099511627776 95367431640625 3656158440062976 79792266297612001 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - 1) mod ((2 + 2) * 2)) + x),x,x)
A231684: 0 1 3 6 10 15 21 28 36 37 39 42 46 51 57 64
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,x) - x)
A110807: 0 9 198 2997 39996 499995 5999994 69999993 799999992 8999999991 99999999990 1099999999989 11999999999988 129999999999987 1399999999999986 14999999999999985
(loop(\(x,i).((x * 2) * 2),x,1) - ((x * x) * x))
A024039: 1 3 8 37 192 899 3880 16041 65024 261415 1047576 4192973 16775488 67106667 268432712 1073738449
(loop(\(x,i).((2 + 1) * x),x,1) + ((x * x) * x))
A001585: 1 4 17 54 145 368 945 2530 7073 20412 60049 178478 533169 1596520 4785713 14352282
(loop(\(x,i).((2 + 1) * x),x,1) - ((x * x) * x))
A024026: 1 2 1 0 17 118 513 1844 6049 18954 58049 175816 529713 1592126 4780225 14345532
((if (x - 2) <= 0 then 1 else (x * 2)) + ((x * x) * x))
A139628: 1 2 9 33
loop(\(x,i).((x div ((i * 2) - 1)) + x),(x * x),x)
A278484: 0 2 6 12 18 26 38 48 62 78 90 108 132 146 180 206
loop(\(x,i).(((((i * 2) * 2) + 1) * i) + x),x,x)
A332698: 0 6 25 65 134 240 391 595 860 1194 1605 2101 2690 3380 4179 5095
((2 mod (((x - 1) mod ((2 + 2) + 1)) + 1)) - 1)
A210247: 1 ~1 ~1 1 1 1 ~1 ~1 1 1 1 ~1 ~1 1 1 1
((x mod (((x + 2) div ((2 + 2) + 1)) + 1)) + 1)
A249727-A122197-A030718-A023118: 1 1 1 2 1 2 1 2 3 1 2 3 1 2 3 4
((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) + 1)
A346089-A302789-A302776: 1 1 1 1 1 2 1 2 1 2 1 3 1 2 3 1
(((x - 1) div (((2 + 2) * (2 + 1)) + 1)) + 1)
A287866-A226046-A167383: 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2
(((x + 1) mod (((2 + 2) * (2 + 1)) - 1)) - 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A055017: 0 1 2 3 4 5 6 7 8 9 ~1 0 1 2 3 4
(((x * 2) mod (((x div 2) div (2 + 1)) + 1)) + 1)
A344879: 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1
(((x - 1) mod (((2 - x) mod (2 + 1)) + 1)) + 1)
A176514: 3 1 1 3 2 1 3 1 1 3 2 1 3 1 1 3
((x * 2) div ((2 mod ((x mod (2 + 1)) + 1)) + 1))
A342369: 0 2 1 6 8 3 12 14 5 18 20 7 24 26 9 30
((x mod ((((2 + 2) * 2) mod (x + 1)) + 1)) + 1)
A139378: 1 1 3 1 1 3 1 1 9
(((x * x) div (((2 + 2) * (x + 1)) + 1)) + 1)
A204591: 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4
(x - ((x div (((2 + 2) * (0 - 2)) - 1)) - 1))
A304814: 1 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18
(x - (((x mod (2 + 2)) mod ((0 - 2) - 1)) - 1))
A127932: 1 4 4 4 5 8 8 8 9 12 12 12 13 16 16 16
(((x + 2) * x) - ((x div ((0 - 2) - 1)) - 1))
A080341: 1 5 10 17 27 38 51 67 84 103 125 148 173 201 230 261
((2 div (x + 1)) - ((x mod ((0 - 2) - 1)) + 1))
A122434: 1 2 0 ~1 1 0 ~1 1 0 ~1 1 0 ~1 1 0 ~1
(((x * x) div (x - ((x div (0 - 2)) - 1))) + 1)
A248610-A209081: 1 1 2 2 3 3 4 5 5 6 7 7 8 9 9 10
(((x + 2) - (x div ((x div (0 - 2)) - 1))) + 1)
A229858: 3 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20
((x mod ((((x div (2 + 2)) + 1) div 2) + 1)) + 1)
A167969: 1 1 1 1 1 2 1 2 1 2 1 2 1 2 3 1
((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1)
A111850: 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4
((((x + 2) + 1) div (((2 + 1) * 2) + 1)) + 1)
A276798-A257639-A076080: 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3
((((x + 1) * 2) div (((2 + 1) * 2) + 1)) + 1)
A194920-A072912: 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5
((((x - 1) * 2) div (((2 + 1) * 2) + 1)) + 1)
A086707: 0 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5
((((x + 2) * 2) div (((2 + 1) * 2) + 1)) + 1)
A217538: 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 5
(x - (((x * 2) div (((2 + 1) * 2) + 1)) - 1))
A080820: 1 2 3 4 4 5 6 6 7 8 9 9 10 11 11 12
((((2 + 1) * x) div (((2 + 1) * 2) + 1)) + 1)
A254528: 1 1 1 2 2 3 3 4 4 4 5 5 6 6 7 7
(x - (((1 - x) div (((2 + 1) * 2) + 1)) - 1))
A183297: 1 2 4 5 6 7 8 9 10 12 13 14 15 16 17 18
(x - (((2 - x) div (((2 + 1) * 2) + 1)) - 1))
A213257-A171521-A092784: 1 2 3 5 6 7 8 9 10 11 13 14 15 16 17 18
(((x * 2) - (x div (((2 + 1) * 2) + 1))) + 1)
A292650: 1 3 5 7 9 11 13 14 16 18 20 22 24 26 27 29
(((x + 1) div (((x div (2 + 1)) + 2) + 1)) + 1)
A256707: 1 1 2 2 2 2 2 2 2 2 2 3 2 3 3 3
((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1)
A060819: 1 1 3 1 5 3 7 2 9 5 11 3 13 7 15 4
(x - ((1 mod ((((2 - x) + 1) * 2) + 1)) - 1))
A233524: 0 1 2 4 5 8
A322125: 0 1 2 4 5 8 11
(x - (((x div 2) div (((0 - 2) - 2) - 1)) - 1))
A133016: 1 2 4 5 6 7 8 9 10 11 12 13 15 16 17 18
((x div ((((x mod (2 + 1)) + 2) + 2) + 1)) + 1)
A278949: 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4
((x div ((((x mod (2 + 1)) div 2) + 2) + 1)) + 1)
A122651: 1 1 1 2 2 2 3 3 3 4 4 3 5 5 4 6
((x div ((((x mod (2 + 2)) + 2) * 2) + 1)) + 1)
A187186: 1 1 1 1 1 1 1 1 2 2 2 2 3 2 2 2
((x div (((((x div 2) mod 2) + 2) * 2) + 1)) + 1)
A105223: 1 1 1 1 1 2 1 2 2 2 2 2 3 3 3 3
((((x * 2) + 1) div (((2 + 2) * 2) + 1)) + 1)
A104277: 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4
((((0 - x) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A138531: 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3
((((x * x) - 1) div (((2 + 2) * 2) + 1)) + 1)
A036407: 0 1 1 1 2 3 4 6 8 9 12 14 16 19 22 25
(x - (((x * 2) div (((2 + 2) * 2) + 1)) - 1))
A247971: 1 2 3 4 5 5 6 7 8 8 9 10 11 12 12 13
((((x + 1) * x) mod (((2 + 2) * 2) + 1)) + 1)
A256676: 1 3 7 4 3 4 7 3 1 1 3 7 4 3 4 7
((((x + 2) * x) mod (((2 + 2) * 2) + 1)) + 1)
A056992: 1 4 9 7 7 9 4 1 9 1 4 9 7 7 9 4
((((x div 2) + x) mod (((2 + 2) * 2) + 1)) + 1)
A141425: 1 2 4 5 7 8 1 2 4 5 7 8 1 2 4 5
((x + 1) div ((x mod (((2 + 2) * 2) + 1)) + 1))
A080461-A066578: 1 1 1 1 1 1 1 1 1 10 5 4 3 2 2 2
((x + 1) mod ((x mod (((2 + 2) * 2) + 1)) + 1))
A070635: 0 0 0 0 0 0 0 0 0 0 1 0 1 4 3 2
((((0 - x) * x) mod (((2 + 2) * 2) + 1)) + 1)
A194825: 1 9 6 1 3 3 1 6 9 1 9 6 1 3 3 1
(((x - 2) div (((x div (2 + 2)) + 2) + 1)) + 1)
A059939: 0 0 1 1 1 1 2 2 2 2 2 2 2 2 3 3
(((x * 2) div (((x div (2 + 2)) + 2) + 1)) + 1)
A106742-A106733-A087839-A087838: 1 1 2 3 3 3 4 4 4 4 5 5 5 5 5 6
((x div (((x mod ((x mod 2) + 2)) div 2) + 1)) + 1)
A125746: 1 2 3 4 5 3 7 8 9 10 11 6 13 14 15 16
(((x * 2) mod (((x - 1) mod (2 + 2)) + 1)) + 1)
A337820-A322127: 1 1 1 1 1 1 1 3 1 1 1 2 1 1 1 1
(((2 + 1) mod (((x div 2) mod (2 + 2)) + 1)) + 1)
A053390: 1 1 2 2 1 1 4 4 1 1 2 2 1 1 4 4
(((x mod ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1)
A070397: 1 6 11 16 21 1 6 11 16 21 1 6 11 16 21 1
(((((x div 2) * 2) + 1) * ((2 + 2) + 1)) + 1)
A168460: 6 6 16 16 26 26 36 36 46 46 56 56 66 66 76 76
((((x + 1) * (2 + 1)) * ((2 + 2) + 1)) - 1)
A257645: 14 29 44 59 74 89 104 119 134 149 164 179 194 209 224 239
((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1)
A128470: 1 31 61 91 121 151 181 211 241 271 301 331 361 391 421 451
((((x div 2) div (2 + 1)) * ((2 + 2) + 1)) + 1)
A241155: 1 1 1 1 1 1 6 6 6 6 6 6 11 11 11 11
(((2 mod ((x div 2) + 1)) * ((2 + 2) + 1)) + 1)
A290856: 1 1 1 1 11 11 11 11 11 11 11 11 11 11 11 11
(((((x + 2) * x) + 1) * ((2 + 2) + 1)) - 1)
A134538: 4 19 44 79 124 179 244 319 404 499 604 719 844 979 1124 1279
(((((x mod 2) + x) + 1) * ((2 + 2) + 1)) - 1)
A168420: 4 14 14 24 24 34 34 44 44 54 54 64 64 74 74 84
(((((x mod 2) + x) + 1) div ((2 + 2) + 1)) + 1)
A051742: 1 1 1 2 2 2 2 2 2 3 3 3 3 4 4 4
(((x - (2 mod (x + 1))) div ((2 + 2) + 1)) + 1)
A060384: 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3
((((x + 2) * (x + 1)) div ((2 + 2) + 1)) + 1)
A025692: 1 2 3 5 7 9 12 15 19 23 27 32 37 43 49 55
((((x * 2) * (x + 1)) * ((2 + 2) + 1)) + 1)
A069133: 1 21 61 121 201 301 421 561 721 901 1101 1321 1561 1821 2101 2401
(((x * 2) - ((x + 1) div ((2 + 2) + 1))) + 1)
A253301-A187841: 1 3 5 7 8 10 12 14 16 17 19 21 23 25 26 28
(((x div 2) - ((x + 1) div ((2 + 2) + 1))) + 1)
A105588: 1 1 2 2 2 2 3 3 4 3 4 4 5 5 5 5
((0 - 2) mod (((x + 1) div ((2 + 2) + 1)) + 1))
A091048: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2
((x div 2) div (((x + 1) div ((2 + 2) + 1)) + 1))
A319661: 0 0 1 1 1 1 1 1 2 1 1 1 2 2 1 1
(x - (x mod (((x + 1) div ((2 + 2) + 1)) + 1)))
A081328: 0 1 2 3 4 4 6 6 8 9 9 9 12 12 12 12
(((x * 2) - ((x + 1) mod ((2 + 2) + 1))) + 1)
A235499: 0 1 2 3 9 10 11 12 13 19 20 21 22 23 29 30
(((x * 2) - ((x - 1) div ((2 + 2) + 1))) + 1)
A186290: 2 3 5 7 9 11 12 14 16 18 20 21 23 25 27 29
((2 - ((x div (0 - 2)) * ((2 + 2) + 1))) + 1)
A168209: 3 8 8 13 13 18 18 23 23 28 28 33 33 38 38 43
(x - (((x div (0 - 2)) div ((2 + 2) + 1)) - 1))
A304816: 1 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
(x - ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A023471: ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20 ~19 ~18 ~17 ~16 ~15 ~14
(((((x div 2) + 1) * 2) * ((2 + 2) + 1)) - 1)
A161365: 9 9 19 19 29 29 39 39 49 49 59 59 69 69 79 79
(x - ((((x + 1) * 2) div ((2 + 2) + 1)) - 1))
A077467: 1 2 2 3 3 4 5 5 6 6 7 8 8 9 9 10
(((((x * x) - 1) div 2) div ((2 + 2) + 1)) + 1)
A036408: 0 1 1 1 2 3 4 5 7 9 10 13 15 17 20 23
(x - ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A023481: ~39 ~38 ~37 ~36 ~35 ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24
(((x mod ((2 + 2) * 2)) mod ((2 + 2) + 1)) + 1)
A276757: 1 2 3 4 5 1 2 3 1 2 3 4 5 1 2 3
(((((x * 2) * 2) * 2) div ((2 + 2) + 1)) + 1)
A047497: 1 2 4 5 7 9 10 12 13 15 17 18 20 21 23 25
((((x * x) * (2 + 2)) * ((2 + 2) + 1)) + 1)
A158493: 1 21 81 181 321 501 721 981 1281 1621 2001 2421 2881 3381 3921 4501
(x - ((((x div 2) * 2) div ((2 + 2) + 1)) - 1))
A319681: 1 2 3 4 5 6 6 7 8 9 9 10 11 12 13 14
(x - ((((1 - x) * 2) div ((2 + 2) + 1)) - 1))
A329996-A286428-A258833-A189794: 1 2 4 5 7 8 9 11 12 14 15 16 18 19 21 22
(((((x + 1) * x) div 2) * ((2 + 2) + 1)) + 1)
A005891: 1 6 16 31 51 76 106 141 181 226 276 331 391 456 526 601
(((((x div 2) + x) * 2) div ((2 + 2) + 1)) + 1)
A280814: 1 1 2 2 3 3 4 5 5 6 7 7 8 8 9 9
((2 + 2) mod (((x + 2) div ((2 + 2) + 1)) + 1))
A037805: 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0
((x + 2) mod (((x + 2) div ((2 + 2) + 1)) + 1))
A037281: 0 0 0 1 0 1 0 1 1 2 0
((2 + 2) mod (((x + 2) mod ((2 + 2) + 1)) + 1))
A152889: 1 0 4 0 0 1 0 4 0 0 1 0 4 0 0 1
(x - (((1 - (x div 2)) div ((2 + 2) + 1)) - 1))
A132329: 1 2 3 4 6 7 8 9 10 11 12 13 14 15 17 18
(((((x + 2) + 1) * x) * ((2 + 2) + 1)) + 1)
A166150: 1 21 51 91 141 201 271 351 441 541 651 771 901 1041 1191 1351
(((((x * 2) + 1) * x) * ((2 + 2) + 1)) + 1)
A080860: 1 16 51 106 181 276 391 526 681 856 1051 1266 1501 1756 2031 2326
(((x * 2) - ((1 - x) div ((2 + 2) + 1))) + 1)
A189467: 1 3 6 8 10 12 14 17 19 21 23 25 28 30 32 34
(x - (x mod (((1 - x) div ((2 + 2) + 1)) - 1)))
A232091: 0 1 2 4 4 6 6 9 9 9 12 12 12 16 16 16
(((((x + 2) + 2) * x) * ((2 + 2) + 1)) + 1)
A162316: 1 26 61 106 161 226 301 386 481 586 701 826 961 1106 1261 1426
(((((x + 2) + 2) * x) div ((2 + 2) + 1)) + 1)
A193622: 1 2 3 5 7 10
A022790: 1 2 3 5 7 10 13 16 20 24 29 34 39 45 51 58
(x - ((((x div 2) + x) div ((2 + 2) + 1)) - 1))
A094500: 1 2 3 4 4 5 6 6 7 8 8 9 10 11 11 12
(x - ((((x mod 2) - x) div ((2 + 2) + 1)) - 1))
A282532-A183299: 1 2 4 5 6 7 9 10 11 12 13 14 16 17 18 19
(x - (2 mod (0 - ((x div ((2 + 2) + 1)) + 1))))
A103303: 0 1 2 3 4 5 6 7 8 9
A050743: 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 17
(((0 - 2) - 2) mod ((x div ((2 + 2) + 1)) + 1))
A240713: 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0
(x - (2 - (2 div ((x div ((2 + 2) + 1)) + 1))))
A171974: 0 1 2 3 4 4 5 6 7 8 8 9 10 11 12 13
((x + 2) - (2 div ((x div ((2 + 2) + 1)) + 1)))
A278373: 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17
((1 - (x * x)) mod ((x div ((2 + 2) + 1)) + 1))
A343023: 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0
((((x + 2) * 2) - (x mod ((2 + 2) + 1))) + 1)
A293481: 5 6 7 8 9 15 16 17 18 19 25 26 27 28 29 35
(x - (((x + 1) mod ((x div (2 + 2)) + 1)) - 1))
A179276: 1 2 3 4 4 6 6 8 9 9 9 12 12 12 12 16
(x - (((x div 2) mod ((x div (2 + 2)) + 1)) - 1))
A278055: 1 2 3 4 5 6 6 7 8 9 9 10 11 12 12 13
((x + 2) mod ((x mod ((x div (2 + 2)) + 1)) + 1))
A337383-A276479: 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1
((((x * x) - 1) mod ((x mod (2 + 2)) + 1)) + 1)
A093818-A030559: 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1
((((x + 1) * x) mod ((x mod (2 + 2)) + 1)) + 1)
A326538-A070670: 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1
(((1 - (x * x)) mod ((x mod (2 + 2)) + 1)) + 1)
A300362-A156264-A030575: 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1
(x - ((x div ((((1 - x) div 2) - 2) - 1)) - 1))
A183296: 1 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18
((x mod (((((x div 2) * x) mod 2) - 2) - 1)) + 1)
A319448: 1 ~1 0 0 ~1 0 1 0 0 1 ~1 0 1 ~1 0 0
(x - (((x * x) div (((x + 2) + 2) + 1)) - 1))
A070941: 1 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5
((((2 + 1) * x) div (((x div 2) + 2) + 1)) + 1)
A261100: 1 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5
((((0 - x) * x) mod (((x mod 2) + 2) + 1)) + 1)
A106055: 1 4 3 4 3 4 1 4 3 4 3 4 1 4 3 4
(1 - (x mod ((x mod (((x mod 2) - 2) - 1)) - 1)))
A286281: 1 2 1 2 3 2 1 2 1 2 3 2 1 2 1 2
(((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)
A294180: 1 2 3 1 2 3 1 1 2 3 1 2 3 1 1 2
(((x mod (((0 - 2) - 2) - 1)) div (2 + 1)) + 1)
A016349-A016339-A016336-A016194-A015964-A015624-A011653-A011647-A011644-A010891: 1 ~1 0 0 0 1 ~1 0 0 0 1 ~1 0 0 0 1
((((0 - x) mod ((2 + 2) + 1)) mod (2 + 1)) + 1)
A193865: 1 2 1 3 2 1 2 1 3 2 1 2 1 3 2 1
(((x - (x mod ((2 + 2) + 1))) div (2 + 1)) + 1)
A187243-A169718-A001306-A001300-A001299: 1 1 1 1 1 2 2 2 2 2 4 4 4 4 4 6
(((((x * x) div (2 + 2)) + 1) div (2 + 1)) + 1)
A014591: 1 1 1 2 2 3 4 5 6 8 9 11 13 15 17 20
(((((x * 2) + 1) * (2 + 1)) * (2 + 1)) + 1)
A082286: 10 28 46 64 82 100 118 136 154 172 190 208 226 244 262 280
(((((x div 2) + 1) * (2 + 1)) * (2 + 1)) - 1)
A168409: 8 8 17 17 26 26 35 35 44 44 53 53 62 62 71 71
(((((x + 1) * 2) * (2 + 1)) * (2 + 1)) - 1)
A239129: 17 35 53 71 89 107 125 143 161 179 197 215 233 251 269 287
(((((x + 1) div 2) * (2 + 1)) * (2 + 1)) + 1)
A168416: 1 10 10 19 19 28 28 37 37 46 46 55 55 64 64 73
(x - ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A023479: ~37 ~36 ~35 ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22
(x - ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A023477: ~35 ~34 ~33 ~32 ~31 ~30 ~29 ~28 ~27 ~26 ~25 ~24 ~23 ~22 ~21 ~20
(((x - ((1 - x) div (2 + 1))) div (2 + 1)) + 1)
A112995: 1 1 2 2 2 3 3 4 4 5 5 6 6 6 7 7
(((((x + 1) * x) * (2 + 1)) * (2 + 1)) + 1)
A069131: 1 19 55 109 181 271 379 505 649 811 991 1189 1405 1639 1891 2161
((((((x + 2) * x) div 2) + 1) mod (2 + 1)) - 1)
A278718: 0 1 1 1 0 ~1 0 1 1 1 0 ~1 0 1 1 1
((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1)
A128834: 0 1 1 0 ~1 ~1 0 1 1 0 ~1 ~1 0 1 1 0
((x div 2) div ((((x mod 2) + 1) * (2 + 1)) + 1))
A035689: 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1
((((1 - x) div ((x mod 2) + 1)) mod (2 + 1)) + 1)
A110569: 2 1 3 3 1 2 2 1 3 3 1 2 2 1 3 3
((((((x div 2) mod 2) + x) + 1) div (2 + 1)) + 1)
A085182: 1 1 2 2 2 3 3 4 4 4 5 5 5 5 6 6
(((((x + 1) * 2) * (x + 1)) * (2 + 1)) + 1)
A227776: 7 25 55 97 151 217 295 385 487 601 727 865 1015 1177 1351 1537
(((((x + 1) * 2) * (x + 1)) div (2 + 1)) + 1)
A194069: 1 3 7 11 17 25 33 43 55 67 81 97 113 131 151 171
(((((x + 2) + 2) * (x + 1)) * (2 + 1)) - 1)
A236485: 11 29 53
(((((x * 2) * 2) * (x + 1)) * (2 + 1)) + 1)
A069190: 1 25 73 145 241 361 505 673 865 1081 1321 1585 1873 2185 2521 2881
((((x * x) * x) mod ((x + 1) * (2 + 1))) + 1)
A203648: 1 2 9 4 5 18 7 8 27 10 11 36 13 14 45 16
(x - (((x div 2) - ((x + 1) div (2 + 1))) - 1))
A337125: 1 2 3 4 4 6 6 7 8 9 9 11 11 12 13 14
(((((x + 2) * x) * (x + 1)) div (2 + 1)) + 1)
A064999: 1 3 9 21 41 71 113 169 241 331 441 573 729 911 1121 1361
(((((x + 2) * x) * (x + 1)) div (2 + 1)) - 1)
A108766: ~1 1 7 19 39 69 111 167 239 329 439 571 727 909 1119 1359
(2 div ((2 + 2) - (((x - 1) div (2 + 1)) - 1)))
A319922: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2
(((x * 2) - (x div ((0 - 2) * (2 + 1)))) + 1)
A231407: 1 4 6
A186331: 1 4 6 8 10 12 14 17 19 21 23 25 27 30 32 34
(((x * 2) - ((x div (0 - 2)) * (2 + 1))) + 1)
A047336: 1 6 8 13 15 20 22 27 29 34 36 41 43 48 50 55
((((((x * 2) * 2) + 1) * 2) * (2 + 1)) + 1)
A135659: 7 31 55 79 103 127 151 175 199 223 247 271 295 319 343 367
(((((x * 2) * (2 + 1)) + 2) * (2 + 1)) - 1)
A242215: 5 23 41 59 77 95 113 131 149 167 185 203 221 239 257 275
(((((x * 2) div (2 + 1)) * 2) div (2 + 1)) + 1)
A226222: 1 1 1 2 2 3 3 3 4 5 5 5 6 6 7 7
(((((x div 2) * (2 + 1)) + 2) * (2 + 1)) + 1)
A168411: 7 7 16 16 25 25 34 34 43 43 52 52 61 61 70 70
(((((x div 2) * (2 + 1)) + 2) * (2 + 1)) - 1)
A168418: 5 5 14 14 23 23 32 32 41 41 50 50 59 59 68 68
((x * 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A076312-A061762: 0 2 4 6 8 10 12 14 16 18 1 3 5 7 9 11
((x * x) div ((((2 + 1) * 2) * (2 + 1)) + 1))
A011871: 0 0 0 0 0 1 1 2 3 4 5 6 7 8 10 11
((x * x) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070441: 0 1 4 9 16 6 17 11 7 5 5 7 11 17 6 16
(((x - ((x mod (2 + 1)) div 2)) * (2 + 1)) + 1)
A180964: 1 4 4 10 13 13 19 22 22 28 31 31 37 40 40 46
(((((x * x) + (2 + 1)) * 2) * (2 + 1)) - 1)
A151953: 17 23 41 71 113 167 233 311 401 503 617 743 881 1031 1193 1367
((((((x + 1) * x) + 1) * 2) * (2 + 1)) - 1)
A260981: 5 17 41
(((((x + 2) * (x + 1)) div 2) div (2 + 1)) + 1)
A025694-A022796: 1 2 3 4 6 8 10 13 16 19 23 27 31 36 41 46
(((x * 2) - (((x + 1) div 2) div (2 + 1))) + 1)
A329837-A249098: 1 3 5 7 9 10 12 14 16 18 20 21 23 25 27 29
((x * x) mod ((((x + 1) div 2) div (2 + 1)) + 1))
A133008: 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0
((((((2 - x) * x) + 1) * 2) * (2 + 1)) + 1)
A157517: 7 13 7 ~11 ~41 ~83 ~137 ~203 ~281 ~371 ~473 ~587 ~713 ~851 ~1001 ~1163
(x - ((x div (((0 - 2) - 2) * (2 + 1))) - 1))
A333214: 1 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18
((((x mod ((2 + 1) * 2)) * 2) * (2 + 1)) + 1)
A225227: 1 7 13
A070419: 1 7 13 19 25 31 1 7 13 19 25 31 1 7 13 19
((((((x * 2) + 1) * 2) * 2) div (2 + 1)) + 1)
A047480-A022841: 2 5 7 10 13 15 18 21 23 26 29 31 34 37 39 42
((x * x) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070447: 0 1 4 9 16 0 11 24 14 6 0 21 19 19 21 0
((x * x) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070445: 0 1 4 9 16 2 13 3 18 12 8 6 6 8 12 18
(((((x * x) * (2 + 2)) * 2) * (2 + 1)) + 1)
A158547: 1 25 97 217 385 601 865 1177 1537 1945 2401 2905 3457 4057 4705 5401
(x - ((x - 1) div (((2 + 2) * (2 + 1)) + 1)))
A274933: 1 1 2 3 4 5 6 7 8 9 10 11 12 13 13 14
(((x * x) div 2) div (((2 + 2) * (2 + 1)) + 1))
A091848-A011877: 0 0 0 0 0 0 1 1 2 3 3 4 5 6 7 8
(1 - ((1 - x) div (((2 + 2) * (2 + 1)) + 1)))
A211663: 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3
(((x + 1) * x) mod (((2 + 2) * (2 + 1)) + 1))
A111658: 0 2 6 12 7 4 3
(((x div 2) * x) div (((2 + 2) * (2 + 1)) + 1))
A011879-A011878: 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 8
((x * 2) - (x div (((2 + 2) * (2 + 1)) + 1)))
A195169: 0 2 4 6 8 10 12 14 16 18 20 22 24 25 27 29
(((x * x) * x) mod (((2 + 2) * (2 + 1)) + 1))
A070475: 0 1 8 1 12 8 8 5 5 1 12 5 12 0 1 8
(1 - ((x + 1) mod (((2 + 2) * (2 + 1)) - 1)))
A076313: 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 1 0 ~1 ~2 ~3 ~4
(((2 + 1) * x) mod (((2 + 2) * (2 + 1)) - 1))
A183033: 0 3 6 9 1 4 7 10 2 5 8
(((x - 1) * x) div (((2 + 2) * (2 + 1)) - 1))
A011864: 0 0 0 0 1 1 2 3 5 6 8 10 12 14 16 19
(1 - ((2 - x) div (((2 + 2) * (2 + 1)) - 1)))
A230501: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3
(((x div 2) * x) div (((2 + 2) * (2 + 1)) - 1))
A011875: 0 0 0 0 0 0 1 1 2 3 4 5 6 7 8 9
((x * 2) - (x div (((2 + 2) * (2 + 1)) - 1)))
A214673: 0 2 4 6 8 10 12 14 16 18 20 21 23 25 27 29
(((x * x) * x) mod (((2 + 2) * (2 + 1)) - 1))
A070473: 0 1 8 5 9 4 7 2 6 3 10 0 1 8 5 9
((((x + 2) * x) div ((2 + 2) * (2 + 1))) + 1)
A036410: 1 1 1 2 3 3 5 6 7 9 11 12 15 17 19 22
(x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1)))
A297232-A283001-A221912-A143290-A097462: 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4
(((x - ((2 - x) div (2 + 2))) div (2 + 1)) + 1)
A088462: 1 1 1 2 2 3 3 4 4 4 5 5 6 6 6 7
(((x * 2) - ((x mod (2 + 2)) mod (2 + 1))) + 1)
A047533: 1 2 3 7 9 10 11 15 17 18 19 23 25 26 27 31
((((((x + 1) * x) div 2) + 2) * (2 + 1)) - 1)
A124011: 5 8 14 23 35 50 68 89 113 140 170 203 239 278 320 365
(((((x div 2) * (x + 2)) + 2) div (2 + 1)) + 1)
A187679: 1 1 3 3 5 6 9
(x - (((x - ((x div 2) mod 2)) div (2 + 1)) - 1))
A303735: 1 2 3 4 4 5 6 6 7 7
A187103: 1 2 3 4 4 5 6 6 7 7 8
(((((x div 2) - (x mod 2)) + 2) * (2 + 1)) - 1)
A168202: 5 2 8 5 11 8 14 11 17 14 20 17 23 20 26 23
((x div 2) mod ((((x mod 2) * 2) * (2 + 1)) + 1))
A234582: 0 0 0 1 0 2 0 3 0 4 0 5 0 6 0 0
((((((x + 2) + 1) * x) * 2) * (2 + 1)) + 1)
A166873: 1 25 61 109 169 241 325 421 529 649 781 925 1081 1249 1429 1621
((((((x + 2) + 1) * x) div 2) * (2 + 1)) + 1)
A133694: 1 7 16 28 43 61 82 106 133 163 196 232 271 313 358 406
(((((x div (2 + 2)) + x) * 2) * (2 + 1)) + 1)
A225227: 1 7 13
A004611: 1 7 13 19 31 37 43 49 61 67 73 79 91 97 103 109
((((((x + 2) + 2) * x) div 2) div (2 + 1)) + 1)
A156040: 1 1 3 4 6 8 11 13 17 20 24 28 33 37 43 48
(x div ((2 - (((2 - x) div 2) div (2 + 1))) + 1))
A323015: 0 0 0 0 1 1 1 1 2 1 2 2 2 2 2 2
(x - (((((x mod 2) - x) - 2) * (2 + 1)) + 1))
A047436: 5 6 13 14 21 22 29 30 37 38 45 46 53 54 61 62
(x - (((((x mod 2) - x) - 2) div (2 + 1)) - 1))
A285420: 2 3 5 6 7 8 10 11 13 14 15 16 18 19 21 22
(x - (((((x mod 2) - x) * 2) div (2 + 1)) - 1))
A045573: 1 2 5 6 8 9 11 12 15 16 18 19 21 22 25 26
(2 div ((2 + 2) - (((x - 2) div (2 + 1)) - 1)))
A035586: 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2
((((x div (2 + 1)) + (x * 2)) div (2 + 1)) + 1)
A210436: 1 1 2 3 4 4 5 6 7 8 8 9 10 11 11 12
(x - ((((x div 2) - (x * 2)) * (2 + 1)) - 1))
A168670: 1 8 12 19 23 30 34 41 45 52 56 63 67 74 78 85
(((2 - x) * 2) mod (((x div 2) div (2 + 1)) + 1))
A060277: 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1
(((x * x) - 2) mod (((x div 2) mod (2 + 1)) + 1))
A300067: 0 0 0 1 2 2 0 0 0 1 2 2 0 0 0 1
((x div 2) div (((2 - (x mod 2)) * (2 + 1)) + 1))
A125688: 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1
(x - (((((1 - x) * x) - 2) * (2 + 1)) - 1))
A191413: 7 8 15 28 47 72 103 140 183 232 287 348 415 488 567 652
((((1 - x) mod ((x * x) + 2)) div (2 + 1)) + 1)
A097921: 1 1 2 4 6 8 12 16 20 26 32 38 46 54 62 72
((((((2 + 1) * 2) + 1) * x) * (2 + 1)) + 1)
A215146: 1 22 43 64 85 106 127 148 169 190 211 232 253 274 295 316
((((((x + 2) * 2) + 1) * x) div (2 + 1)) + 1)
A000969: 1 3 7 12 18 26 35 45 57 70 84 100 117 135 155 176
((((((x * 2) * 2) + 1) * x) * (2 + 1)) + 1)
A244805: 1 16 55 118 205 316 451 610 793 1000 1231 1486 1765 2068 2395 2746
((((((x * 2) * 2) - 1) * x) * (2 + 1)) + 1)
A244802: 1 10 43 100 181 286 415 568 745 946 1171 1420 1693 1990 2311 2656
(((((x div 2) * (2 + 1)) + x) * (2 + 1)) + 1)
A146510: 1 4 16 19 31 34 46 49 61 64 76 79 91 94 106 109
(((((x * x) * (2 + 1)) + x) * (2 + 1)) + 1)
A082040: 1 13 43 91 157 241 343 463 601 757 931 1123 1333 1561 1807 2071
(((2 + 1) * x) - (((1 - x) div (2 + 1)) - 1))
A297464: 1 4 8 11 14 18 21 24 28 31 34 38 41 44 48 51
((x + 2) div ((((x + 1) * x) mod (2 + 1)) + 1))
A145064: 2 1 4 5 2 7 8 3 10 11 4 13 14 5 16 17
(x - (((((x div 2) mod 2) - x) * (2 + 1)) - 1))
A011985: 1 5 6 10 17
((x + 2) - (1 mod (((2 - x) * (2 + 1)) + 1)))
A139544: 1 2 4 6 10 14 18 22 26 30 34 38 42 46 50 54
((((((2 + 1) * x) + 2) * x) * (2 + 1)) + 1)
A016778: 1 16 49 100 169 256 361 484 625 784 961 1156 1369 1600 1849 2116
((((((2 + 1) * x) - 2) * x) * (2 + 1)) + 1)
A016790: 1 4 25 64 121 196 289 400 529 676 841 1024 1225 1444 1681 1936
((((((x div 2) * x) mod 2) + x) div (2 + 1)) + 1)
A026414: 1 1 1 2 2 2 3 3 3 4 4 5 5 5 5 6
(((x * 2) - (((x mod 2) - x) div (2 + 1))) + 1)
A244223: 1 3 6 8 11 13 15 17 20 22 25 27 29 31 34 36
(((((x * x) + (x mod 2)) * x) * (2 + 1)) + 1)
A261722: 1 7 25 91
((((2 + 2) * (x + 1)) - (x div (2 + 1))) - 1)
A260484: 3 7 11 14 18 22 25 29 33 36 40 44 47 51 55 58
((((x div (2 + 1)) + 2) * (x div (2 + 1))) + 1)
A075561: 1 1 1 4 4 4 9 9 9 16 16 16 25 25 25 36
((((x * x) + (2 + 2)) - (x div (2 + 1))) + 1)
A341301: 5 6 9 13 20 29 39 52 67 83 102 123 145 170 197 225
((((x + 1) div 2) + 1) mod ((x div (2 + 1)) + 1))
A010764: 0 0 0 1 1 0 1 2 2 2 2 3 2 3 3 3
((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1))
A064722: 0 0 0 1 0 1 0 1 2 3 0 1 0 1 2 3
(((x mod (2 + 1)) div 2) * ((x div (2 + 1)) + 1))
A175676: 0 0 1 0 0 2 0 0 3 0 0 4 0 0 5 0
(((x + 2) mod (2 + 2)) mod ((x div (2 + 1)) + 1))
A277904: 0 0 0 1 0 1 0 1 2 3 0 1 2 3 0 1
((1 - ((x mod 2) * 2)) * ((x div (2 + 1)) + 1))
A104581: 1 ~1 1 ~2 2 ~2 3 ~3 3 ~4 4 ~4 5 ~5 5 ~6
((((x mod (2 + 1)) * 2) * (x mod (2 + 1))) + 1)
A168399: 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1
((x mod 2) - ((x - 1) mod ((x mod (2 + 1)) + 1)))
A131720: 0 1 ~1 1 ~1 0 0 1 ~1 1 ~1 0 0 1 ~1 1
(((x div 2) - (x mod 2)) mod ((x mod (2 + 1)) + 1))
A189706: 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0
(((((x * x) div 2) + 1) div ((x + 2) + 1)) + 1)
A093337: 1 1 1 1 2 2 3 3 4 4 4 5 5 6 6 7
((((x * x) div (2 + 2)) div ((x + 2) + 1)) + 1)
A005857: 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4
(((((x * x) div 2) + 2) div ((x + 2) + 1)) + 1)
A020911: 1 1 1 2 2 2 3 3 4 4 5 5 5 6 6 7
(((((2 + 2) + 1) * x) div ((x + 2) + 1)) + 1)
A335741-A103586: 1 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5
(x - ((((x div 2) * x) div ((x + 2) + 1)) - 1))
A039733: 1 2 3 4 4 5 5 6 7 7 8 9 9 10 10 11
(((x * 2) - ((x * x) div ((x + 2) + 1))) + 1)
A212450: 1 3 5 6 7 8 9 11 12 13 14 15 16 17 18 19
(((((x div 2) * 2) + 1) * ((x * 2) + 1)) + 1)
A193868: 2 4 16 22 46 56 92 106 154 172 232 254 326 352 436 466
((((2 + 2) * (x + 1)) * ((x * 2) + 1)) + 1)
A060820: 5 25 61 113 181 265 365 481 613 761 925 1105 1301 1513 1741 1985
(x - (((x div (0 - 2)) * ((x * 2) + 1)) - 1))
A245534: 1 5 8 18 23 39 46 68 77 105 116 150 163 203 218 264
(((((x + 2) * 2) * 2) * ((x * 2) + 1)) + 1)
A273220: 9 37 81 141 217 309 417 541 681 837 1009 1197 1401 1621 1857 2109
(((((x * 2) * 2) * 2) * ((x * 2) + 1)) + 1)
A016814: 1 25 81 169 289 441 625 841 1089 1369 1681 2025 2401 2809 3249 3721
(((((x - 1) * x) div 2) * ((x * 2) + 1)) + 1)
A081441: 1 1 6 22 55 111 196 316 477 685 946 1266 1651 2107 2640 3256
((((x div 2) * (x - 2)) * ((x * 2) + 1)) + 1)
A110215: 1 1 1 8 37
(((((2 + 1) * 2) + 1) * ((x div 2) + 1)) - 1)
A168332: 6 6 13 13 20 20 27 27 34 34 41 41 48 48 55 55
((((1 - x) div (2 + 1)) mod ((x div 2) + 1)) + 1)
A026834: 1 1 2 2 3 2 3 3 3 3 4 3 4 4 4 4
((1 - x) mod (((x * 2) mod ((x div 2) + 1)) + 1))
A237049: 0 0 0 0 0 0 0 0 1 0 0 0 1 0 2 0
((((x mod (2 + 2)) - 1) * ((x mod 2) + 1)) + 1)
A192225: 0 1 2 5
A091086: 0 1 2 5 0 1 2 5 0 1 2 5 0 1 2 5
(((((x + 2) * x) + 2) div ((x mod 2) + 1)) + 1)
A164900: 3 3 11 9 27 19 51 33 83 51 123 73 171 99 227 129
(x - ((x mod ((((2 - x) * x) div 2) - 1)) - 1))
A094859: 1 2 3 4 6 10
(((x * x) div (((x div (2 + 2)) + x) + 1)) + 1)
A066508: 1 1 2 3 3 4 5 6 6 7 8 9 10 10 11 12
(((((x - 1) mod (2 + 1)) + 1) * (x + 1)) + 1)
A228949: 4 3 7 13 6 13 22 9 19 31 12 25 40 15 31 49
((((((x * 2) * 2) * 2) + 1) * (x + 1)) + 1)
A125201: 2 19 52 101 166 247 344 457 586 731 892 1069 1262 1471 1696 1937
(((((2 + 2) * 2) * (x + 1)) * (x + 1)) - 1)
A157914: 7 31 71 127 199 287 391 511 647 799 967 1151 1351 1567 1799 2047
(((((x * x) * 2) * (x + 1)) * (x + 1)) + 1)
A096129: 1 9 73 289 801 1801 3529 6273 10369 16201 24201 34849 48673 66249 88201 115201
((((((x * 2) * 2) + 1) * 2) * (x + 1)) - 1)
A194431: 1 19 53 103 169 251 349 463 593 739 901 1079 1273 1483 1709 1951
(((((x * 2) * (2 + 1)) + 2) * (x + 1)) + 1)
A126587: 3 17 43 81 131 193 267 353 451 561 683 817 963 1121 1291 1473
((((2 - ((x div 2) - 1)) * 2) * (x + 1)) + 1)
A229831: 7 13 13 17
(((((x * x) * (x + 1)) - 2) * (x + 1)) + 1)
A165568: ~1 1 31 137 391 889 1751 3121 5167 8081 12079 17401 24311 33097 44071 57569
((((((2 + 2) * 2) * 2) * 2) * (x + 1)) - 1)
A239128: 31 63 95 127 159 191 223 255 287 319 351 383 415 447 479 511
((((x mod ((2 + 2) * 2)) + 2) mod (x + 1)) + 1)
A285758: 1 2 2 2 2 2 2 2 3 4 5 6 7 8 9 10
((((((x * 2) * 2) * 2) * 2) * (x + 1)) + 1)
A195315: 1 33 97 193 321 481 673 897 1153 1441 1761 2113 2497 2913 3361 3841
((((x - 2) mod ((2 + 2) * 2)) mod (x + 1)) + 1)
A137846-A080915: 1 2 1 2 3 4 5 6 7 8 1 2 3 4 5 6
(x - (x mod ((0 - ((2 + 2) mod (x + 1))) - 1)))
A265562: 0 1 2 3 5 5 10 10 10 10 10 15 15 15 15 15
((((((2 + 1) * x) + 2) * 2) * (x + 1)) + 1)
A201279: 5 21 49 89 141 205 281 369 469 581 705 841 989 1149 1321 1505
(2 - ((1 - (x div 2)) div ((2 mod (x + 1)) + 1)))
A157791: 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4
(((x + 2) + 2) - (x div ((2 mod (x + 1)) + 1)))
A196594: 4 4 6 6 7 8 8 9 10 10
(((((x * x) + 1) * (x - 2)) * (x + 1)) + 1)
A125082: ~1 ~3 1 41 171 469 1037 2001 3511 5741 8889 13177 18851 26181 35461 47009
((((((2 + 1) * 2) + 1) * x) * (x + 1)) + 1)
A069127: 1 15 43 85 141 211 295 393 505 631 771 925 1093 1275 1471 1681
(((((x - 2) div (2 + 1)) * x) div (x + 1)) + 1)
A053264: 1 0 1 1 1 1 1 1 2 2 2 3 3 3 4 4
(((((2 mod (x + 1)) + 2) * x) * (x + 1)) + 1)
A273789: 1 5 25 49 81 121 169 225 289 361 441 529 625 729 841 961
((((x mod ((2 + 2) * 2)) * x) div (x + 1)) + 1)
A338881: 1 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7
((((((x + 2) + 2) + 1) * x) * (x - 1)) + 1)
A241577: 1 1 15 49 109 201 331 505 729 1009 1351 1761 2245 2809 3459 4201
((((x * x) * (2 + 2)) * ((x * x) - 1)) + 1)
A239607: 1 1 49 289 961 2401 5041 9409 16129 25921 39601 58081 82369 113569 152881 201601
(((((x * x) * x) - 2) * ((x * x) - 1)) - 1)
A177075: 1 ~1 17 199 929 2951 7489 16367 32129 58159 98801 159479 246817 368759 534689 755551
(x div (x - ((x mod ((2 + 2) * (0 - 2))) + 1)))
A329343-A309395-A167262-A037831: 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1
(x - ((x div (2 - ((x div 2) div (0 - 2)))) - 1))
A230490: 1 2 3 3 4 5 6 7 7 8 9 10 11 12 13 14
((x * x) div (x - (((x div 2) div (0 - 2)) - 1)))
A056847: 0 0 1 1 2 3 4 4 5 6 7 8 9 9 10 11
(x - (((x div (2 + 1)) * 2) div ((0 - 2) - 1)))
A138083: 0 1 2 4 5 6
A039185: 0 1 2 4 5 6 8 9 10 11 12 13 15 16 17 19
((x * 2) - ((x mod (2 + 2)) mod ((0 - 2) - 1)))
A047430: 0 4 5 6 8 12 13 14 16 20 21 22 24 28 29 30
(((x + 2) * x) - ((x div 2) div ((0 - 2) - 1)))
A024385: 0 3 9 16 25 36 49 64 82 101 122 145 170 197 227 258
(x - (((x div (2 + 2)) + x) div ((0 - 2) - 1)))
A001953: 0 2 3 4 6 7 9 10 12 13 14 16 17 19 20 21
(((x div 2) div (0 - 2)) * (x div ((0 - 2) - 1)))
A062722: 0 0 1 1 2 2 4 6 6 6 12 12 12 15 20 20
(((x * x) div (2 + 2)) - (x div ((0 - 2) - 1)))
A088414: 0 1 2 3 6 8
A211519: 0 1 2 3 6 8 11 15 19 23 29 34 40 47 54 61
((x * x) div ((x + 2) - (x div ((0 - 2) - 1))))
A309945: 0 0 0 1 2 2 3 4 4 5 6 7 8 8 9 10
(((x div (2 + 1)) * 2) - (x mod ((0 - 2) - 1)))
A131380: 0 2 1 2 4 3 4 6 5 6 8 7 8 10 9 10
(x - ((((x div (2 + 2)) + x) div (0 - 2)) - 1))
A330063-A292644-A188035-A090908-A000202-A000201: 1 3 4 6 8 9 11 12 14 16 17 19 21 22 24 25
(((x mod 2) - (((x + 2) * x) div (0 - 2))) + 1)
A236283: 1 4 5 10 13 20 25 34 41 52 61 74 85 100 113 130
(((1 - ((2 + 2) * 2)) * (x div (0 - 2))) + 1)
A168337: 1 8 8 15 15 22 22 29 29 36 36 43 43 50 50 57
(((x div ((2 + 2) * 2)) - (x div (0 - 2))) + 1)
A079685: 1 2 2 3 3 4 4 5 6
A329547: 1 2 2 3 3 4 4 5 6 7 7 8 8 9 9 10
(x - (((1 - x) div (2 - (x div (0 - 2)))) - 1))
A183301: 1 2 4 5 6 7 8 9 11 12 13 14 15 16 17 18
((2 - ((2 - x) div (2 - (x div (0 - 2))))) + 1)
A177876: 2 3 3 4
A132983: 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5
(((2 div ((x div ((2 + 2) + 1)) + 1)) mod 2) + 1)
A063059: 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1
(((x div (((x + 1) div (2 + 1)) + 1)) * 2) + 1)
A132424: 1 3 3 3 5 3 5 5 5 5 5 5 5 5 5 5
(((x - (x mod ((x div (2 + 1)) + 1))) div 2) + 1)
A024417-A005041: 1 1 2 2 3 3 4 4 4 5 5 5 6 6 6 7
((((((2 + 2) * 2) * (x + 1)) - 1) * 2) - 1)
A082285: 13 29 45 61 77 93 109 125 141 157 173 189 205 221 237 253
(((x mod (2 - (x div ((0 - 2) - 1)))) mod 2) + 1)
A293811-A106035: 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2
((2 - (x div ((x div ((0 - 2) - 1)) - 2))) + 1)
A194882: 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6
(((((x * 2) - (x div (0 - 2))) + 1) * 2) + 1)
A268044: 3 9 13 19 23 29 33 39 43 49 53 59 63 69 73 79
((((x + 1) mod (((2 + 1) * 2) + 1)) mod 2) + 1)
A188512: 2 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1
((((x + 2) mod (((2 + 1) * 2) + 1)) mod 2) + 1)
A214848: 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2
((((x - 2) mod (((2 + 1) * 2) + 1)) mod 2) + 1)
A071709: 2 1 1 2 1 2 1 2 1 1 2 1 2 1 2 1
((((2 - x) mod (((2 + 1) * 2) + 1)) mod 2) + 1)
A131406: 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 2
((x mod ((((x div (2 + 1)) + 2) + 1) * 2)) + 1)
A072965: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 16
(((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) + 1)
A334607-A322596-A309049-A284249-A274190-A219347-A215521-A208245-A166240-A037306-A008284: 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1
(((x - (x div (((0 - 2) - 2) - 1))) * 2) + 1)
A005763: 1 5 7 9 11 13 17
(((((((x * 2) + 1) * 2) * 2) + 1) * 2) + 1)
A106839: 11 27 43 59 75 91 107 123 139 155 171 187 203 219 235 251
(((x mod ((((x + 1) div 2) div 2) + 1)) div 2) + 1)
A115583-A115580-A115577-A115574-A115571-A115570-A069288: 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1
(((((((x mod 2) * 2) * 2) * 2) + 1) * 2) + 1)
A293700: 3 19 3 19 3 19 3 19 3 19 3 19 3 19 3 19
(((x div ((x mod ((2 + 2) * 2)) + 1)) mod 2) + 1)
A337006-A216915: 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2
(((x mod (((x div (2 + 2)) * 2) - 1)) mod 2) + 1)
A232550-A152828-A115582-A115581-A115578-A115576-A115575-A115572-A097305: 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1
(((2 div (((x - 1) mod (2 + 2)) + 1)) * 2) + 1)
A132400: 1 5 3 1 1 5 3 1 1 5 3 1 1 5 3 1
(((((0 - x) - 1) mod ((2 + 2) + 1)) * 2) + 1)
A096230: 9 7 5 3 1 9 7 5 3 1 9 7 5 3 1 9
(((((x div 2) + 2) mod ((2 + 2) + 1)) mod 2) + 1)
A214211: 1 1 2 2 1 1 1 1 2 2 1 1 2 2 1 1
(((((0 - x) * 2) mod ((2 + 2) + 1)) * 2) + 1)
A139788: 1 7 3 9 5 1 7 3 9 5 1 7 3 9 5 1
(((x - ((x div 2) mod ((2 + 2) + 1))) mod 2) + 1)
A331104: 1 2 2 1 1 2 2 1 1 2 1 2 2 1 1 2
(((((x * x) div 2) div ((2 + 2) + 1)) mod 2) + 1)
A030600: 1 1 1 1 2 1 2 1 1 1 1 1 1 1 2 1
(2 div (((x + 2) mod (((2 + 2) + 1) * 2)) + 1))
A342465: 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0
((((x - 1) * x) mod (((2 + 2) + 1) * 2)) + 1)
A133368: 1 1 3 7 3 1 1 3 7 3 1 1 3 7 3 1
(((x * 2) - (x mod (((2 + 2) + 1) * 2))) + 1)
A256079-A216556: 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26
((0 - 2) mod ((x mod (((2 + 2) + 1) * 2)) + 1))
A235049: 0 0 1 2 3 4 5 6 7 8 0 0 1 2 3 4
(x div (x - ((x mod (((2 + 2) + 1) * 2)) - 1)))
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A115353-A054054: 0 1 2 3 4 5 6 7 8 9 0 1 1 1 1 1
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(((((x mod 2) + x) * ((2 + 2) + 1)) + 2) + 1)
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((x * x) mod (((x div ((2 + 2) + 1)) * 2) - 1))
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((((x * 2) - (x mod ((2 + 2) + 1))) * 2) + 1)
A179085-A030142: 1 3 5 7 9 21 23 25 27 29 41 43 45 47 49 61
(((((1 - x) * x) mod ((2 + 2) + 1)) div 2) + 1)
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(((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + 1)
A323308-A307848-A278908-A007424: 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 2
((((x - 1) mod ((x div (2 + 2)) + 1)) div 2) + 1)
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((((x + 2) mod ((x div (2 + 2)) + 1)) div 2) + 1)
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((((x * 2) mod ((x div (2 + 2)) + 1)) mod 2) + 1)
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((((x + 1) mod ((x mod (2 + 2)) + 1)) * 2) + 1)
A342666-A339969: 1 1 1 1 1 1 3 1 1 1 5 1 1 1 1 1
(((x * 2) - (((x mod (2 + 2)) - 1) div 2)) + 1)
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((((x * x) div (((x div 2) + 2) + 1)) mod 2) + 1)
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(((x - (((x div 2) + 1) div (2 + 1))) mod 2) + 1)
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((((x mod ((x div 2) + 1)) div (2 + 1)) * 2) + 1)
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(((x mod (x - ((x + 1) mod (2 + 1)))) div 2) + 1)
A057559: 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 1
(((x - ((x div (0 - 2)) * (2 + 1))) * 2) + 1)
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(x - (((((x - 1) div 2) div (2 + 1)) * 2) + 1))
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(((x - (((x - 1) div 2) div (2 + 1))) div 2) + 1)
A225545: 1 1 2 2 3 3 4 4 4 5 5 6 6 6 7 7
((((((x - 1) div 2) div 2) div (2 + 1)) mod 2) - 1)
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(((x - (((2 - x) div 2) div (2 + 1))) * 2) + 1)
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(x - ((((1 - (x * 2)) div (2 + 1)) * 2) - 1))
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(((x - ((1 - (x div 2)) div (2 + 1))) div 2) + 1)
A244224-A076905: 1 1 2 2 3 4 4 5 5 6 7 7 8 8 9 9
((2 + 2) mod ((((x div 2) div (2 + 1)) * 2) + 1))
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((x * x) mod ((((x div 2) div (2 + 1)) * 2) - 1))
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(x - (((x - ((x div 2) div (2 + 1))) div 2) - 1))
A194979: 1 2 2 3 3 4 5 5 6 6 7 7 8 9 9 10
(((x * x) + (2 + 1)) div (((2 + 1) * 2) + 1))
A056833: 0 0 1 1 2 4 5 7 9 12 14 17 21 24 28 32
(((x * x) * (2 + 1)) * (((2 + 1) * 2) + 1))
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(((x * x) * (2 + 1)) div (((2 + 1) * 2) + 1))
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(x - (((x * 2) + 1) div (((2 + 1) * 2) + 1)))
A257175: 0 1 2 2 3 4 5 5 6 7 7 8 9 10 10 11
(x - (((x * 2) - 1) div (((2 + 1) * 2) + 1)))
A248231: 1 1 2 3 3 4 5 6 6 7 8 8 9 10 11 11
((((2 + 1) * x) + 1) * (((2 + 1) * 2) + 1))
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(2 - (((2 - x) + 1) div (((2 + 1) * 2) + 1)))
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(x - (((2 - x) + 1) div (((2 + 1) * 2) + 1)))
A047588: 0 1 2 3 5 6 7 8 9 10 11 13 14 15 16 17
((((x div 2) + x) + 1) * (((2 + 1) * 2) + 1))
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(((x mod 2) * (x - 1)) div (((2 + 1) * 2) + 1))
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(x mod (x - ((x - 1) mod (((2 + 1) * 2) + 1))))
A037885-A037849: 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 0
(x - (((x + 1) * 2) div (((2 + 1) * 2) + 1)))
A064488: 0 1 2 2 3 4 4 5 6 7 7 8 9 9 10 11
(x - (((x - 1) * 2) div (((2 + 1) * 2) + 1)))
A095769: 1 1 2 3 4 4 5 6 6 7 8 9 9 10 11 11
((x div ((2 + 2) * 2)) * (((2 + 1) * 2) + 1))
A261225: 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7
(((x * x) + (2 + 2)) * (((2 + 1) * 2) + 1))
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(((x * x) * (2 + 2)) * (((2 + 1) * 2) + 1))
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(x - (((x - 2) * 2) div (((2 + 1) * 2) + 1)))
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((((x + 1) * x) div 2) * (((2 + 1) * 2) + 1))
A024966: 0 7 21 42 70 105 147 196 252 315 385 462 546 637 735 840
((((x - 1) * x) div 2) div (((2 + 1) * 2) + 1))
A011867: 0 0 0 0 0 1 2 3 4 5 6 7 9 11 13 15
(x - (((2 - x) * 2) div (((2 + 1) * 2) + 1)))
A138083: 0 1 2 4 5 6
A039100: 0 1 2 4 5 6 8 9 10 11 13 14 15 17 18 19
((((x div 2) * x) div 2) div (((2 + 1) * 2) + 1))
A309685: 0 0 0 0 0 0 1 1 2 2 3 3 5 5 7 7
((((x mod 2) * x) * 2) div (((2 + 1) * 2) + 1))
A284965-A242096: 0 0 0 0 0 1 0 2 0 2 0 3 0 3 0 4
((x * 2) - ((x * 2) div (((2 + 1) * 2) + 1)))
A083089: 0 2 4 6 7 9 11 12 14 16 18 19 21 23 24 26
((x div 2) - ((x div 2) div (((2 + 1) * 2) + 1)))
A327247: 0 0 1 1 2 2 3 3 4 4 5 5 6 6 6 6
(((x * x) - (x div 2)) div (((2 + 1) * 2) + 1))
A211522: 0 0 0 1 2 3 4 6 8 11 13 16 19 23 27 31
(x - (((2 + 1) * x) div (((2 + 1) * 2) + 1)))
A195182: 0 1 2 2 3 3 4 4 5 6 6 7 7 8 8 9
((((x * 2) + 1) * x) * (((2 + 1) * 2) + 1))
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((((x * 2) - 1) * x) * (((2 + 1) * 2) + 1))
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((((x div 2) mod 2) * x) div (((2 + 1) * 2) + 1))
A282947: 0 0 0 0 0 0 0 1 0 0 1 1 0 0 2 2
(1 - ((x mod 2) - (x div (((2 + 1) * 2) + 1))))
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(((x * x) * (x * x)) mod (((2 + 1) * 2) + 1))
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(((((x div (2 + 1)) * x) mod (2 + 1)) mod 2) + 1)
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(((((x div (2 + 2)) + x) mod (2 + 1)) mod 2) + 1)
A138330: 1 2 1 1 1 1 2 1 2 1 1 2 1 2 1 1
(x - (((((x mod 2) - x) div (2 + 1)) * 2) - 1))
A284507: 1 2 5 6 9 10 11 12 15 16 19 20 21 22 25 26
(((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) + 1)
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(((((x + 1) div 2) + (x div (2 + 1))) * 2) + 1)
A063212: 1 3 3 7 7 9 11 13 13 17 17 19 21 23 23 27
((((x div (2 + 2)) * (x mod (2 + 1))) mod 2) + 1)
A120889: 1 1 1 1 2 1 1 2 1 1 1 1 1 2 1 1
((x div (2 + 2)) div (((x mod (2 + 1)) + 2) + 1))
A344833-A218867-A187585-A187567-A046784-A024165: 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1
(1 - (2 mod ((x mod ((x mod (2 + 1)) + 2)) + 1)))
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((((x * 2) - ((x * x) mod (2 + 1))) * 2) + 1)
A056530: 1 3 7 13 15 19 25 27 31 37 39 43 49 51 55 61
((((((x div (2 + 2)) + x) div 2) + 1) div 2) + 1)
A081832: 1 1 2 2 2 3 3 3 4 4 4 4 5 5 5 6
(((((x * x) + 1) div ((x + 2) + 1)) * 2) + 1)
A050824: 1 1 3 3 5 7 9 11 11 13 15 17 19 21 23 25
(((((x + 2) * x) * ((x + 2) + 1)) div 2) + 1)
A127736: 1 7 21 46 85 141 217 316 441 595 781 1002 1261 1561 1905 2296
((((((x * 2) * 2) - (x div 2)) + 1) * 2) + 1)
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(x - ((((x - 1) mod ((x div 2) + 1)) div 2) - 1))
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((((x - (2 + 2)) div ((x div 2) + 1)) mod 2) + 1)
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(((((x - 2) * 2) mod ((x div 2) + 1)) mod 2) + 1)
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((x + 1) div (((2 mod ((x div 2) + 1)) * 2) + 1))
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(((((2 - x) * 2) mod ((x div 2) + 1)) mod 2) + 1)
A335211-A327818: 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1
(((((x * x) * 2) mod ((x div 2) + 1)) mod 2) + 1)
A336691-A256554-A256067-A081418: 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1
(((((x + 2) * x) + ((x div 2) + 1)) * 2) + 1)
A287057: 3 9 21 35 55 77 105 135 171 209 253 299 351 405 465 527
((((1 - (x * x)) mod ((x div 2) + 1)) div 2) + 1)
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(x - (((x div ((2 - (x mod 2)) + 1)) * 2) - 1))
A251101: 1 2 3 2 3 2 3 2 5 2 5 2 5 2 7 2
(((x - 2) div ((x div ((x mod 2) + 1)) + 2)) + 1)
A095999: 0 0 1 1 1 1 1 2 1 2 1 2 1 2 1 2
(((((((x + 2) + 2) + 1) * x) + 1) * 2) + 1)
A152813: 3 15 31 51 75 103 135 171 211 255 303 355 411 471 535 603
((((((x div (2 + 1)) * 2) + x) + 1) * 2) + 1)
A063241: 3 5 7 13 15 17 23 25 27 33 35 37 43 45 47 53
(((((x div ((2 + 2) * 2)) + x) + 1) * 2) + 1)
A192863: 3 5 7 9 11 13 15 17 21 23 25 27 29 31 33 35
((((((x div (2 + 2)) mod 2) + x) + 1) div 2) + 1)
A227737: 1 2 2 3 4 4 5 5 5 6 6 7 8 8 9 9
((((((x * x) div (2 + 2)) + x) + 1) div 2) + 1)
A089651: 1 2 3 4 5 7 9 11 13 16 19 22 25 29 33 37
((((x div ((2 + 2) + 1)) * (x + 1)) mod 2) + 1)
A079700: 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1
(((((x div 2) div (0 - 2)) mod (x + 1)) div 2) + 1)
A306904: 1 1 2 2 3 3 3 4 4 5 5 5 6 6 6 7
(((x * 2) * 2) div (((2 mod (x + 1)) + 2) + 1))
A232748: 0 1 1 2 3 4 4 5 6 7 8 8 9 10 11 12
(((((x * x) * x) + (2 mod (x + 1))) + 2) + 1)
A174684: 3 4 13 32
((((2 + 1) mod (x + 1)) + ((x + 1) * 2)) + 1)
A095029: 3 6 7 12 14
((((x + 1) mod (2 + 2)) + ((x + 1) * 2)) + 1)
A282848: 4 7 10 9 12 15 18 17 20 23 26 25 28 31 34 33
(((x * 2) * (2 + 1)) * (((x + 1) * 2) + 1))
A277980: 0 30 84 162 264 390 540 714 912 1134 1380 1650 1944 2262 2604 2970
((((x + 2) + 1) * x) * (((x + 1) * 2) + 1))
A303609: 0 20 70 162 308 520 810 1190 1672 2268 2990 3850 4860 6032 7378 8910
(x - (((2 - x) * x) div (((x + 1) * 2) + 1)))
A307913-A155902: 0 1 2 4 5 7 8 10 11 12 14 15 17 18 20 21
(((x - (x div (2 + 1))) * ((x + 1) div 2)) + 1)
A217396: 1 2 3 5 7 13
(((((x div 2) + x) - 1) * ((x + 1) div 2)) + 1)
A329482: 1 1 3 7 11 19 25 37 45 61 71 91 103 127 141 169
(((((x mod 2) + x) + 1) * ((x + 1) div 2)) + 1)
A266438: 1 4 4 11 11 22 22 37 37 56 56 79 79 106 106 137
(x - ((((2 - x) div 2) * ((x + 1) div 2)) - 1))
A130404: 1 2 3 6 7 12 13 20 21 30 31 42 43 56 57 72
((((x mod 2) + x) + 2) * (((x + 1) div 2) + 1))
A269510: 2 8 8 18 18 32 32 50 50
A093907: 2 8 8 18 18 32 32 50 50 72 72 98 98 128 128 162
((((x mod 2) + x) * x) div (((x + 1) div 2) + 1))
A005152: 0 1 2 4 5 7 9 11 12 15 16 18 20 22 24 26
(x - (((((2 - x) * x) * (x - 1)) div 2) - 1))
A158498: 1 2 3 7 17 36 67 113 177 262 371 507 673 872 1107 1381
(((x - ((x div (2 + 2)) div (0 - 2))) * 2) + 1)
A325128-A320056: 1 3 5 7 11 13 15 17 19 21 23 25 29 31 33 35
(x - (((x + 1) * 2) div (((0 - 2) - 2) - 1)))
A047317-A000062: 1 2 4 5 6 8 9 11 12 13 15 16 18 19 20 22
(x - (((x div 2) + x) div (((0 - 2) - 2) - 1)))
A001959: 0 2 3 4 6 7 8 9 11 12 13 15 16 17 19 20
(((x + 1) * 2) - (x div (((0 - 2) - 2) - 1)))
A184737: 2 5 7 9 11 13 16 18 20 22 24 27 29 31 33 35
(x - ((((x div 2) + x) div ((0 - 2) - 2)) - 1))
A184744: 1 3 4 5 7 8 10 11 12 14 15 16 18 19 21 22
(((2 + 1) * x) - ((x div ((0 - 2) - 2)) - 1))
A186238: 1 5 8 11 14 18 21 24 27 31 34 37 40 44 47 50
(x div ((2 + 2) - ((x mod ((0 - 2) - 2)) - 1)))
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(((x + 2) - (x div ((x div (0 - 2)) - 2))) + 1)
A289178: 3 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20
(x div (2 - (x div (((x mod (0 - 2)) * 2) - 1))))
A336121: 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 2
(((x - ((x div ((0 - 2) - 1)) * 2)) * 2) + 1)
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((((x mod (((0 - 2) - 2) - 1)) mod 2) + 2) + 1)
A276864: 3 3 4 3 4 3 3 4 3 4 3 3 4 3 4 3
((((((x div (0 - 2)) mod 2) + 1) * 2) * 2) + 1)
A147818: 5 9 9 5 5 9 9 5 5 9 9 5 5 9 9 5
(((((((x * 2) * 2) * 2) + 1) * 2) * 2) + 1)
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(((((x + 2) mod ((2 + 2) + 1)) + 2) * 2) + 1)
A158607: 9 11 13 5 7 9 11 13 5 7 9 11 13 5 7 9
((1 - x) mod (((((2 + 2) + 1) * 2) * 2) + 1))
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((x * x) mod (((((2 + 2) + 1) * 2) * 2) + 1))
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(x - ((((x div ((2 + 2) + 1)) * 2) * 2) - 1))
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(x - ((((x mod ((2 + 2) + 1)) - 2) * 2) - 1))
A266084: 5 4 3 2 1 10 9 8 7 6 15 14 13 12 11 20
(((((x mod (2 + 2)) * (2 + 1)) div 2) * 2) + 1)
A131712: 1 3 7 9 1 3 7 9 1 3 7 9 1 3 7 9
(((x mod (((x div 2) * (2 + 1)) - 2)) mod 2) + 1)
A214054: 1 2 1 1 1 2 1 1 1 2 1 2 1 2 1 2
(x - (1 div (((x - ((2 + 1) * 2)) * 2) - 1)))
A331303: 1 2 3 4 5 6 7 6 8 9 10 11 12 13 14 15
((((x * 2) div ((x div (2 + 1)) + 2)) mod 2) + 1)
A229122: 1 2 1 1 1 2 2 2 1 2 1 1 1 1 1 1
((((x * 2) mod ((x div (2 + 1)) + 2)) mod 2) + 1)
A344590-A111616: 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1
(((x * 2) div (((x div (2 + 1)) + 2) + 2)) + 1)
A238598-A029836: 1 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4
((0 - 2) mod ((((x mod (2 + 1)) * 2) * 2) + 1))
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(((((((x + 2) * x) * 2) + 1) * 2) * 2) + 1)
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((((((x + 2) * (x + 2)) + 1) * 2) * 2) + 1)
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(((x - ((((x mod 2) - x) - 1) * 2)) * 2) + 1)
A092242: 5 7 17 19 29 31 41 43 53 55 65 67 77 79 89 91
((((((2 + 1) * 2) mod (x + 1)) mod 2) * 2) + 1)
A103756: 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1
((((((x - 2) * 2) mod (x + 1)) mod 2) * 2) + 1)
A334732: 1 1 1 1 1 1 3 1 3 1 3 1 3 1 3 1
(2 div ((2 + 2) - ((((x + 1) div 2) div 2) - 1)))
A061798: 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2
(x - ((2 + 2) - ((((x - 1) div 2) div 2) - 1)))
A217290: ~6 ~4 ~3 ~2 ~1 1 2 3 4 6
(((((x div 2) + x) * ((x - 1) div 2)) div 2) + 1)
A131355: 1 1 1 3 4 8 10 16 19 27 31 41 46 58 64 78
((((((x * x) * (x * x)) - 1) div 2) div 2) + 1)
A131478: 0 1 4 21 64 157 324 601 1024 1641 2500 3661 5184 7141 9604 12657
(x - (((((x div 2) div (0 - 2)) div 2) * 2) - 1))
A073416-A072957: 1 2 5 6 7 8 9 10 11 12 15 16 17 18 19 20
(1 - (x div (((x div ((0 - 2) - 2)) - 2) - 1)))
A227581-A204166: 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4
(((x div ((x mod ((2 + 1) * 2)) + 2)) mod 2) + 1)
A223708: 1 1 1 1 1 1 2 1 1 2 2 2 1 1 2 2
((((x - (((x div 2) - 1) div 2)) * 2) * 2) - 1)
A080457: 3 7 7 11 15 19 19 23 27 31 31 35 39 43 43 47
((((x - (((x div 2) - 1) div 2)) mod 2) * 2) - 1)
A162285: 1 ~1 ~1 1 ~1 1 1 ~1 1 ~1 ~1 1 ~1 1 1 ~1
((((((x + 2) * (x + 1)) div 2) + 2) + 2) + 1)
A167499: 6 8 11 15 20 26 33 41 50 60 71 83 96 110 125 141
(((x + 2) div ((((x + 1) div 2) div 2) + 2)) - 1)
A133188: 0 0 1 0 1 1 1 1 1 1 2 1 1 2 2 1
(((x * 2) - ((((x + 1) div 2) div 2) div 2)) + 1)
A064996: 1 3 5 7 9 11 13 14 16 18 20 22 24 26 28 29
((((x - (x div ((0 - 2) - 2))) * 2) * 2) + 1)
A134441: 1 9 13 17 21 29 33 37 41 49 53 57 61 69 73 77
((((x - (x div ((0 - 2) - 2))) div 2) div 2) + 1)
A285524-A284726: 1 1 1 2 2 2 3 3 3 4 4 4 4 5 5 5
(((x mod ((x mod ((0 - 2) - 2)) - 2)) mod 2) + 1)
A156144-A103414: 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1
(x - ((((((x - 1) div 2) div 2) div 2) * 2) + 1))
A071934: 1 0 1 2 3 4 5 6 7 6 7 8 9 10 11 12
(((x - ((((x - 1) div 2) div 2) div 2)) mod 2) + 1)
A078614: 2 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1
(x div ((((((x - 1) div 2) mod 2) + 2) + 2) + 1))
A219025: 0 0 0 0 0 1 1 1 1 1 2 1 2 2 2 2
(2 - (x - (((((2 + 2) * 2) * 2) * 2) + 1)))
A022991: 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20
((x * x) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070455: 0 1 4 9 16 25 3 16 31 15 1 22 12 4 31 27
((x * x) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070453: 0 1 4 9 16 25 5 18 2 19 7 28 20 14 10 8
(((x mod ((x div ((2 + 2) * 2)) + 2)) mod 2) + 1)
A326398: 1 2 1 2 1 2 1 2 1 1 2 1 1 2 1 1
(((x div ((x div ((2 + 2) * 2)) - 2)) mod 2) + 1)
A026605: 1 2 2 1 1 2 2 1 1 2 1 2 1 2 1 2
(((x div (((x div (2 + 2)) + 2) + 2)) mod 2) + 1)
A063056: 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1
(((x mod (((x div (2 + 2)) mod 2) + 2)) div 2) + 1)
A330751-A031280-A031242: 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1
((x div ((((x mod (2 + 2)) + 2) * 2) * 2)) + 1)
A091499-A058398-A055215: 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1
((((((x * x) * (2 + 2)) * 2) * 2) * 2) + 1)
A158575: 1 33 129 289 513 801 1153 1569 2049 2593 3201 3873 4609 5409 6273 7201
(((x - (x div (1 - ((2 + 2) * 2)))) div 2) + 1)
A079685: 1 2 2 3 3 4 4 5 6
A225875: 1 2 2 3 3 4 4 5 6 6 7 7 8 8 9 10
(x - ((((x mod 2) - ((2 + 2) * 2)) * 2) - 1))
A004458: 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30
(2 div (((x + 1) mod (((2 + 2) * 2) * 2)) + 1))
A343905: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
(((x + 1) * x) mod ((((2 + 2) * 2) * 2) + 1))
A054579: 0 2 6 12 3 13 8 5 4 5 8 13 3 12 6 2
(x div (2 - (x - ((((2 + 2) * 2) * 2) + 1))))
A259195: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3
(((x * x) * x) mod ((((2 + 2) * 2) * 2) + 1))
A070479: 0 1 8 10 13 6 12 3 2 15 14 5 11 4 7 9
(((x * x) div 2) div ((((2 + 2) * 2) * 2) - 1))
A011880: 0 0 0 0 0 0 1 1 2 2 3 4 4 5 6 7
(((x - 1) * x) div ((((2 + 2) * 2) * 2) - 1))
A011868: 0 0 0 0 0 1 2 2 3 4 6 7 8 10 12 14
(((x * x) * x) mod ((((2 + 2) * 2) * 2) - 1))
A070697-A070477: 0 1 8 12 4 5 6 13 2 9 10 11 3 7 14 0
(x - ((2 div (x - (((2 + 2) * 2) * 2))) - 1))
A247250-A235986: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18
(((((x + 1) * x) + ((2 + 2) * 2)) + 2) + 1)
A048058: 11 13 17 23 31 41 53 67 83 101 121 143 167 193 221 251
(((((x + 1) * x) + ((2 + 2) * 2)) * 2) + 1)
A259555: 17 21 29 41 57 77 101 129 161 197 237 281 329 381 437 497
(((((x - 1) * x) div ((2 + 2) * 2)) mod 2) + 1)
A096993: 1 1 1 1 2 1 2 2 2 2 2 2 1 2 1 1
(((((x + 2) * x) + ((2 + 2) * 2)) + 2) + 1)
A114948: 11 14 19 26 35 46 59 74 91 110 131 154 179 206 235 266
((((x * 2) - (x div ((2 + 2) * 2))) + 2) + 1)
A248196: 3 5 7 9 11 13 15 17 18 20 22 24 26 28 30 32
((((x * 2) - (x mod ((2 + 2) * 2))) + 2) + 1)
A154660: 3 4 5 6 7 8
A137913: 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26
((x div 2) div (((x mod ((2 + 2) * 2)) + 2) + 1))
A283655: 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0
((((((x + 1) * x) + (2 + 2)) * 2) * 2) - 1)
A242412: 15 23 39 63 95 135 183 239 303 375 455 543 639 743 855 975
(((x * 2) div (((x div (2 + 2)) + 2) + 2)) + 1)
A087834: 1 1 2 2 2 3 3 3 3 4 4 4 4 4 5 5
(((x mod (1 - ((x div (2 + 2)) * 2))) mod 2) + 1)
A183953: 1 1 1 1 1 1 1 1 2 1 1 2 2 1 2 1
(x - ((((x - (x div (2 + 2))) div 2) * 2) + 1))
A339765: ~1 0 ~1 0 1 0 1 0 1 2 1 2 3 2 3 2
((x div 2) div ((((x mod (2 + 2)) + 2) + 2) + 1))
A085978-A011726: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0
((x div 2) div ((((x mod (2 + 2)) + 2) * 2) + 1))
A327450-A309785-A309528-A297237-A293496-A281155-A279948-A277163-A277160-A277157-A225413-A167265-A088918-A088183-A086078-A079302-A049825-A047758-A035699-A035676-A035656: 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
(((x - (((2 - (x div 2)) div 2) div 2)) * 2) + 1)
A283800-A043325-A023692: 1 3 5 7 9 11 15 17 19 21 23 25 27 29 33 35
((((x - ((2 - (x div 2)) div 2)) div 2) div 2) + 1)
A192543-A082964: 0 1 1 1 2 2 2 3 3 3 4 4 4 4 5 5
(x div ((((2 - ((x div 2) mod 2)) + 2) * 2) + 1))
A174847: 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 2
((x + 1) div (((((x div 2) mod 2) + 2) + 2) + 1))
A339931: 0 0 0 0 1 1 1 1 1 2 1 2 2 2 2 2
((((x mod ((2 - (x mod 2)) * 2)) * 2) * 2) + 1)
A135169: 1 5 9 5 1 5 9 5 1 5 9 5 1 5 9 5
(x div (((x mod (((x mod 2) + 2) * 2)) + 2) + 1))
A177236: 0 0 0 0 1 0 1 1 2 1 2 1 4 3 2 2
((x div 2) div ((((x + 2) mod (2 + 2)) + 2) + 1))
A226517: 0 0 0 0 0 0 1 0 0 0 1 1 1 1 2 1
(x - (2 mod ((x div (1 - ((2 + 2) * 2))) - 1)))
A084689: 0 1 2 3 4 5 6 7 9
A285316-A187320-A043093-A023802: 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 17
((x div (2 - ((x div 2) - ((2 + 2) * 2)))) + 1)
A120178: 1 1 1 1 1 1 1 2 2 2 3 3 4 4 5 6
(x - ((2 div ((x div 2) - ((2 + 2) * 2))) - 1))
A249611-A140823-A119675-A028261: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18
((((x + 2) + 2) + 1) * (((2 + 2) * 2) + 1))
A242267-A242226: 45 54 63 72 81 90 99 108 117 126 135 144 153 162 171 180
((((x * 2) * 2) + 1) * (((2 + 2) * 2) + 1))
A139609: 9 45 81 117 153 189 225 261 297 333 369 405 441 477 513 549
(((x * x) * (2 + 1)) * (((2 + 2) * 2) + 1))
A244634: 0 27 108 243 432 675 972 1323 1728 2187 2700 3267 3888 4563 5292 6075
(x - (((2 - x) + 1) div (((2 + 2) * 2) + 1)))
A089590-A052406: 0 1 2 3 5 6 7 8 9 10 11 12 13 15 16 17
((((x + 2) * x) - 1) mod (((2 + 2) * 2) + 1))
A152179: 8 2 7 5 5 7 2 8 7 8 2 7 5 5 7 2
((((x div 2) + x) + 1) * (((2 + 2) * 2) + 1))
A051063: 9 18 36 45 63 72 90 99 117 126 144 153 171 180 198 207
(((x * 2) * (x + 1)) * (((2 + 2) * 2) + 1))
A162940: 0 36 108 216 360 540 756 1008 1296 1620 1980 2376 2808 3276 3780 4320
(((x mod (2 + 1)) div 2) * (((2 + 2) * 2) + 1))
A021115: 0 0 9 0 0 9 0 0 9 0 0 9 0 0 9 0
(((x * x) * (2 + 2)) * (((2 + 2) * 2) + 1))
A016910: 0 36 144 324 576 900 1296 1764 2304 2916 3600 4356 5184 6084 7056 8100
(x - (((x + 2) * 2) div (((2 + 2) * 2) + 1)))
A105566: 0 1 2 2 3 4 5 5 6 7 8 9 9 10 11 12
((((2 + 1) * x) + 2) * (((2 + 2) * 2) + 1))
A124388: 18 45 72 99 126 153 180 207 234 261 288 315 342 369 396 423
(x - (((1 - x) * 2) div (((2 + 2) * 2) + 1)))
A039178-A001965: 0 1 3 4 5 6 8 9 10 11 12 14 15 16 17 19
((((x + 1) * x) + 2) mod (((2 + 2) * 2) + 1))
A146079: 2 4 8 5 4 5 8 4 2 2 4 8 5 4 5 8
((((x + 1) * x) div 2) * (((2 + 2) * 2) + 1))
A027468: 0 9 27 54 90 135 189 252 324 405 495 594 702 819 945 1080
((((x + 1) * x) div 2) mod (((2 + 2) * 2) + 1))
A134804: 0 1 3 6 1 6 3 1 0 0 1 3 6 1 6 3
(x - (((2 - x) * 2) div (((2 + 2) * 2) + 1)))
A138083: 0 1 2 4 5 6
A265187-A039186: 0 1 2 4 5 6 7 9 10 11 12 13 15 16 17 18
(((x * x) * (x * 2)) mod (((2 + 2) * 2) + 1))
A021041: 0 2 7 0 2 7 0 2 7 0 2 7 0 2 7 0
((((x * 2) - 1) * x) * (((2 + 2) * 2) + 1))
A152994: 0 9 54 135 252 405 594 819 1080 1377 1710 2079 2484 2925 3402 3915
((1 - ((x + 1) * x)) mod (((2 + 2) * 2) + 1))
A254375: 1 8 4 7 8 7 4 8 1 1 8 4 7 8 7 4
((((x * x) - 1) * x) * (((2 + 2) * 2) + 1))
A124007: 0 0 54 216 540 1080 1890 3024 4536 6480 8910 11880 15444 19656 24570
(((x * x) * (x * x)) mod (((2 + 2) * 2) + 1))
A070513: 0 1 7 0 4 4 0 7 1 0 1 7 0 4 4 0
(x - (x mod (x - ((x mod ((2 + 2) * 2)) - 1))))
A265521: 0 1 2 3 4 5 6 7 0 9 9 9 9 9 9 9
((x div ((1 - x) - (x mod ((2 + 2) * 2)))) + 1)
A015241-A014025: 1 0 0 0 0 0 0 0 ~1 0 0 0 0 0 0 0
(x - ((x div (((2 - x) div (2 + 2)) - 2)) - 1))
A184431-A078358: 1 3 4 5 7 8 9 10 11 13 14 15 16 17 18 19
(((x - (((x div 2) + x) div (2 + 2))) div 2) + 1)
A285588: 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 6
(((x + 1) div ((2 - (x div (2 + 2))) + 2)) + 1)
A275378: 1 1 1 2 2 3 3 3 5
((((x * 2) - 1) div ((x div (2 + 2)) + 2)) + 1)
A061339: 0 1 2 3 3 4 4 5 4 5 5 6 5 6 6 6
(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))
A169894-A163352-A117707-A083291-A003056: 0 1 1 2 2 2 3 3 3 3 4 4 4 4 4 5
(((x div 2) + x) div (((x div (2 + 2)) + 2) + 1))
A066490: 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 3
((x * x) mod ((x div ((x div (2 + 2)) + 2)) + 1))
A111700-A106002: 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1
(1 - ((x - 2) div (((x div (2 + 2)) * 2) + 1)))
A242928: 3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0
(((((x + 2) * 2) - (x mod (2 + 2))) * 2) + 1)
A214865: 9 11 13 15 25 27 29 31 41 43 45 47 57 59 61 63
((((2 - (x mod 2)) * (x mod (2 + 2))) * 2) + 1)
A001148: 1 3 9 7 1 3 9 7 1 3 9 7 1 3 9 7
((((((x + 2) + 1) * (x + 2)) div 2) + 2) + 1)
A167614: 6 9 13 18 24 31 39 48 58 69 81 94 108 123 139 156
(((((1 - (x div 2)) mod (x + 2)) div 2) div 2) + 1)
A343265-A263846-A230774-A132173: 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3
(((((x * x) * 2) mod ((x + 2) + 2)) mod 2) + 1)
A031279: 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2
(((((x * x) div 2) mod ((x + 2) + 2)) mod 2) + 1)
A003649: 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 2
(((x * x) + 1) div ((((x + 2) + 2) + 2) + 1))
A127037: 0 0 0 1 1 2 2 3 4 5 5 6 7 8 9 10
(x - ((x * x) div ((((x + 2) + 2) + 2) + 1)))
A327008: 0 1 2 3 3 3 4 4 4 4 5 5 5 5 5 5
(((x - (1 mod (1 - ((x * 2) * 2)))) * 2) + 1)
A160912: 1 7 17 27 37 47 57 67 77 87 97 107 117 127 137 147
(((((x div 2) + 2) + ((x * 2) * 2)) * 2) + 1)
A143988: 5 13 23 31 41 49 59 67 77 85 95 103 113 121 131 139
(((((x div 2) + x) + ((x * 2) * 2)) + 2) + 1)
A299647: 3 8 14 19 25 30 36 41 47 52 58 63 69 74 80 85
((x mod (((x - 2) div ((x div 2) + 2)) + 2)) + 1)
A136314-A023128: 1 1 1 2 1 2 1 2 3 1 2 3 1 2 3 1
(x mod ((((x - 2) mod ((x div 2) + 2)) div 2) + 1))
A341519: 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0
(((((x * x) * 2) mod ((x div 2) + 2)) mod 2) + 1)
A303825-A246588-A026492: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1
(x mod (((x - 1) mod (((x div 2) + 2) + 2)) + 1))
A297236: 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3
(((x * 2) * 2) div ((((x div 2) + 2) + 2) + 1))
A210533: 0 0 1 2 2 2 3 3 3 4 4 4 4 4 4 5
(((((x - 1) * x) mod ((x div 2) + 2)) mod 2) + 1)
A330665-A317145-A003650: 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2
((((x div 2) + 2) div (((x div 2) mod 2) + 2)) - 1)
A308068: 0 0 0 0 1 1 0 0 2 2 1 1 3 3 2 2
((((((x mod 2) * x) - (x div 2)) div 2) * 2) + 1)
A186422: 1 1 ~1 3 ~1 3 ~3 5 ~3 5 ~5 7 ~5 7 ~7 9
(x div (((x div ((2 - (x mod 2)) + 2)) + 2) + 1))
A081757: 0 0 0 0 1 1 1 1 1 1 2 1 2 1 2 1
(((x - ((x - 2) mod ((x mod 2) + 2))) div 2) + 1)
A291268: 1 0 2 2 3 3 4 3 5 5 6 6 7 6 8 8
((x div 2) div ((x div (((x mod 2) + 2) + 2)) + 1))
A307706: 0 0 1 1 1 1 1 1 1 2 1 1 1 2 1 1
((x + 2) div (((x div ((x mod 2) + 2)) + 2) + 1))
A322401: 0 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2
(1 - (x mod (((x mod ((x mod 2) + 2)) * 2) + 1)))
A254377: 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1
(((x * 2) - (x mod (((x mod 2) - 2) * 2))) + 1)
A074231: 1 4 7 8 9 12 15 16 17 20 23 24 25 28 31 32
(((((x * x) + 2) div (2 + 1)) mod (2 + 2)) + 1)
A232244-A028356: 1 2 3 4 3 2 1 2 3 4 3 2 1 2 3 4
(x div (x - ((((x div 2) - 1) mod (2 + 2)) - 1)))
A321859: 0 ~1 0 0 1 1 1 1 1 1 0 0 1 1 1 1
(2 div (((((x div 2) * x) - 1) mod (2 + 2)) + 1))
A330005: 0 0 1 0 0 1 1 2 0 0 1 0 0 1 1 2
((((x * 2) - ((x div 2) mod 2)) mod (2 + 2)) + 1)
A070352: 1 3 4 2 1 3 4 2 1 3 4 2 1 3 4 2
(x - ((((2 - x) - (x div 2)) div (2 + 2)) - 1))
A260483-A247778-A059567-A006594-A003511: 1 2 4 5 6 8 9 10 12 13 15 16 17 19 20 21
((((2 + 2) * (x + 1)) - 1) * ((2 + 2) + 1))
A290781: 15 35 55 75 95 115 135 155 175 195 215 235 255 275 295 315
(x - ((x div ((0 - 2) - 1)) * ((2 + 2) + 1)))
A047590: 0 6 7 8 14 15 16 22 23 24 30 31 32 38 39 40
(((((x * 2) * 2) * 2) + 1) div ((2 + 2) + 1))
A047446: 0 1 3 5 6 8 9 11 13 14 16 17 19 21 22 24
((((x * x) + 1) * (2 + 1)) div ((2 + 2) + 1))
A288425: 0 1 3 6 10 15 22 30 39
((((x + 1) * 2) * (2 + 1)) * ((2 + 2) + 1))
A050519: 30 60 90 120 150 180 210 240 270 300 330 360 390 420 450 480
((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1))
A169823: 0 60 120 180 240 300 360 420 480 540 600 660 720 780 840 900
(x - (((x div 2) div (2 + 1)) * ((2 + 2) + 1)))
A283370-A053827: 0 1 2 3 4 5 1 2 3 4 5 6 2 3 4 5
((x - ((x div 2) mod (2 + 1))) mod ((2 + 2) + 1))
A341513-A276150-A275729-A034968: 0 1 1 2 2 3 1 2 2 3 3 4 2 3 3 4
((((x * x) * 2) * (2 + 1)) * ((2 + 2) + 1))
A244636: 0 30 120 270 480 750 1080 1470 1920 2430 3000 3630 4320 5070 5880 6750
(x - (((1 - x) div (2 + 1)) * ((2 + 2) + 1)))
A047523: 0 1 7 8 9 15 16 17 23 24 25 31 32 33 39 40
(((((x - 1) * x) div 2) + 1) * ((2 + 2) + 1))
A082450: 5 5 10 20 35 55 80 110 145 185 230 280 335 395 460 530
((((x + 2) * (x + 2)) - 1) * ((2 + 2) + 1))
A067724: 15 40 75 120 175 240 315 400 495 600 715 840 975 1120 1275 1440
((x * 2) - (((x * 2) + 1) div ((2 + 2) + 1)))
A047488: 0 2 3 5 7 8 10 11 13 15 16 18 19 21 23 24
((x div 2) - (((x * 2) - 1) div ((2 + 2) + 1)))
A008616: 1 0 1 0 1 1 1 1 1 1 2 1 2 1 2 2
(((x * x) mod ((x * 2) - 1)) div ((2 + 2) + 1))
A302642: 0 0 0 0 0 1 0 2 0 2 1 3 1 3 1 4
(x - (1 - (((x div 2) + 1) * ((2 + 2) + 1))))
A047374: 4 5 11 12 18 19 25 26 32 33 39 40 46 47 53 54
(x - (2 - (((x div 2) + 1) * ((2 + 2) + 1))))
A047341: 3 4 10 11 17 18 24 25 31 32 38 39 45 46 52 53
((((x * 2) - (x mod 2)) + 1) div ((2 + 2) + 1))
A225370: 0 0 1 1 1 2 2 2 3 3 4 4 5 5 5 6
(1 div ((((x * x) div 2) - 1) mod ((2 + 2) + 1)))
A289035-A276397: 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1
(1 mod ((((x * x) div 2) - 1) mod ((2 + 2) + 1)))
A276395: 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0
(x - ((((x div 2) + x) - 1) div ((2 + 2) + 1)))
A248227-A086525-A061288: 1 1 2 3 3 4 5 6 6 7 8 8 9 10 10 11
(2 - ((((x mod 2) - x) - 1) * ((2 + 2) + 1)))
A168458: 7 7 17 17 27 27 37 37 47 47 57 57 67 67 77 77
(x - ((((x mod 2) - x) - 1) div ((2 + 2) + 1)))
A336109-A039216: 1 2 3 4 5 6 8 9 10 11 13 14 15 16 17 18
((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1))
A044077: 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400
((((x * x) + 1) * (x + 1)) mod ((2 + 2) + 1))
A152898: 1 4 0 0 0 1 4 0 0 0 1 4 0 0 0 1
((((2 + 2) * 2) * (x + 1)) div ((2 + 2) + 1))
A285676-A064724: 1 3 4 6 8 9 11 12 14 16 17 19 20 22 24 25
((((x * 2) * 2) * (x + 1)) div ((2 + 2) + 1))
A281151: 0 1 4 9 16 24 33 44 57 72 88 105 124 145 168 192
(((x * x) - (2 mod (x + 1))) * ((2 + 2) + 1))
A032772: 0 5 10 35
(((x + 1) * 2) - ((x + 1) mod ((2 + 2) + 1)))
A037469: 1 2 3 4 10 11 12 13 14 20 21 22 23 24 30 31
(((2 + 1) * x) - ((x - 1) div ((2 + 2) + 1)))
A191405: 1 3 6 9 12 15 17 20 23 26 29 31 34 37 40 43
((((x - 2) * x) * (x - 1)) div ((2 + 2) + 1))
A011887: 0 0 0 1 4 12 24 42 67 100 144 198 264 343 436 546
(x - ((((2 + 2) + 1) * 2) * ((2 + 2) + 1)))
A256958: ~50 ~49 ~48 ~47 ~46 ~45 ~44 ~43 ~42 ~41 ~40 ~39 ~38 ~37 ~36 ~35
(((((x * 2) * 2) + 1) * 2) div ((2 + 2) + 1))
A047448: 0 2 3 5 6 8 10 11 13 14 16 18 19 21 22 24
((x * x) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A070653-A070452: 0 1 4 9 16 25 6 19 4 21 10 1 24 19 16 15
(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1))))
A017497: 9 20 31 42 53 64 75 86 97 108 119 130 141 152 163 174
(x - (1 - (((x + 1) * 2) mod ((2 + 2) + 1))))
A065187: 1 4 2 5 3 6 9 7 10 8 11 14 12 15 13 16
((((x - 2) * (x - 1)) div 2) div ((2 + 2) + 1))
A130520: 0 0 0 0 0 1 2 3 4 5 7 9 11 13 15 18
((x * 2) - (((x - 1) * 2) div ((2 + 2) + 1)))
A047512: 1 2 4 6 7 9 10 12 14 15 17 18 20 22 23 25
(1 - (((x div (0 - 2)) * 2) div ((2 + 2) + 1)))
A339391: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5
(((x + 1) mod ((2 + 2) * 2)) div ((2 + 2) + 1))
A319510: 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0
((x * x) mod (((2 + 2) * 2) * ((2 + 2) + 1)))
A070462: 0 1 4 9 16 25 36 9 24 1 20 1 24 9 36 25
(x - ((x div ((2 + 2) * 2)) * ((2 + 2) + 1)))
A245347: 0 1 2 3 4 5 6 7 3 4 5 6 7 8 9 10
(x - ((((x div 2) - 2) * 2) div ((2 + 2) + 1)))
A307294: 1 2 3 4 4 5 6 7 8 9 9 10 11 12 12 13
(x div ((((x div 2) mod 2) + 2) * ((2 + 2) + 1)))
A055639-A048142: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1
((((x - 1) * x) div (2 + 2)) div ((2 + 2) + 1))
A011873: 0 0 0 0 0 1 1 2 2 3 4 5 6 7 9 10
(x - ((((2 - x) div 2) * 2) div ((2 + 2) + 1)))
A138083: 0 1 2 4 5 6
A039243: 0 1 2 4 5 6 7 9 10 11 12 13 14 16 17 18
((((x + 2) * (x + 2)) + 2) * ((2 + 2) + 1))
A027578: 30 55 90 135 190 255 330 415 510 615 730 855 990 1135 1290 1455
(1 - (x - (((x * 2) * 2) * ((2 + 2) + 1))))
A215144: 1 20 39 58 77 96 115 134 153 172 191 210 229 248 267 286
(x - (((1 - (x div 2)) * 2) div ((2 + 2) + 1)))
A039251: 0 1 2 3 5 6 7 8 10 11 12 13 14 15 17 18
((x * 2) - (((x div 2) - 2) div ((2 + 2) + 1)))
A285594-A191251: 1 3 5 7 8 10 12 14 16 18 20 22 24 26 27 29
(((((x + 2) + 1) * x) * 2) div ((2 + 2) + 1))
A269132: 0 1 4 7 11 16 21 28 35 43 52 61 72 83 95 108
(((((x * 2) - 1) * x) * 2) * ((2 + 2) + 1))
A144560: 0 10 60 150 280 450 660 910 1200 1530 1900 2310 2760 3250 3780 4350
((x + 2) - (((1 - x) * 2) div ((2 + 2) + 1)))
A087057: 2 3 5 6 8 9 10 12 13 15 16 17 19 20 22 23
(x - ((((x div 2) + x) + 2) div ((2 + 2) + 1)))
A049473: 0 1 1 2 3 4 4 5 6 6 7 8 8 9 10 11
(x - ((((x mod 2) - x) - 2) * ((2 + 2) + 1)))
A102488: 10 11 22 23 34 35 46 47 58 59 70 71 82 83 94 95
(x - ((((x mod 2) - x) - 2) div ((2 + 2) + 1)))
A039214: 1 2 3 4 6 7 8 9 10 11 13 14 15 16 18 19
((((x - 2) * 2) mod (x + 2)) div ((2 + 2) + 1))
A026826: 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1
(((x + 1) * 2) - ((x + 2) div ((2 + 2) + 1)))
A184585: 2 4 6 7 9 11 13 15 16 18 20 22 24 25 27 29
(((x + 1) * 2) - ((x + 2) mod ((2 + 2) + 1)))
A237415: 0 1 2 8 9 10 11 12 18 19 20 21 22 28 29 30
((((x * x) + 1) * (x - 2)) mod ((2 + 2) + 1))
A152893: 3 3 0 0 4 3 3 0 0 4 3 3 0 0 4 3
(1 - (((x div 2) - (x * 2)) div ((2 + 2) + 1)))
A222642: 1 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6
(x - (((x div 2) - (x * 2)) div ((2 + 2) + 1)))
A195128: 0 2 3 4 6 7 8 10 11 12 13 15 16 17 19 20
(x div (x - (2 - ((x * 2) mod ((2 + 2) + 1)))))
A144611: 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1
(x - (((1 - x) * (x * 2)) * ((2 + 2) + 1)))
A051874: 0 1 22 63 124 205 306 427 568 729 910 1111 1332 1573 1834 2115
(x - (((1 - x) * (x * 2)) div ((2 + 2) + 1)))
A005488: 0 1 3 6 9 13 18 24
((((x div 2) + 1) * (x div 2)) div ((2 + 2) + 1))
A308767: 0 0 0 0 1 1 2 2 4 4 6 6 8 8 11 11
((x + 2) - ((1 - (x div 2)) div ((2 + 2) + 1)))
A175407: 2 3 4 5 7 8 9 10 11 12 13 14 15 16 18 19
(x - (((2 - x) - (x div 2)) div ((2 + 2) + 1)))
A001957: 0 1 3 4 5 6 8 9 10 12 13 14 16 17 18 19
(x - ((((1 - x) * x) div 2) * ((2 + 2) + 1)))
A000566: 0 1 7 18 34 55 81 112 148 189 235 286 342 403 469 540
(((x div ((2 + 2) + 1)) + x) mod ((2 + 2) + 1))
A159957-A053840: 0 1 2 3 4 1 2 3 4 0 2 3 4 0 1 3
(x - (((x div (2 + 1)) + x) div ((2 + 2) + 1)))
A215781: 0 1 2 3 3 4 5 6 6 7 8 9 9 10 11 11
((((x * x) * (2 + 1)) - x) * ((2 + 2) + 1))
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((x + 1) div (2 - ((1 - x) div ((2 + 2) + 1))))
A122921: 0 1 1 1 1 2 2 2 2 2 2 3 2 2 3 3
(1 - (((x * x) * (1 - x)) mod ((2 + 2) + 1)))
A138019: 1 1 0 ~1 ~1 1 1 0 ~1 ~1 1 1 0 ~1 ~1 1
(1 - (((2 div (x + 1)) - x) div ((2 + 2) + 1)))
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(2 - (((2 div (x + 1)) - x) div ((2 + 2) + 1)))
A182008: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5
((x * 2) - (1 - ((2 - x) mod ((2 + 2) + 1))))
A242590: 1 2 3 9 10 11 12 13 19 20 21 22 23 29 30 31
(((((2 + 1) * x) + 2) * x) div ((2 + 2) + 1))
A332410: 0 1 3 6 11 17 24 32 41 52 64 77 91 106 123 141
(((((2 + 1) * x) - 2) * x) * ((2 + 2) + 1))
A153795: 0 5 40 105 200 325 480 665 880 1125 1400 1705 2040 2405 2800 3225
((x + 2) - (((x mod 2) - x) div ((2 + 2) + 1)))
A028729: 2 3 5 6 7 8 10 11 12 13 14 15
A167759-A028813-A028812-A028809-A028797-A028785-A028773-A028761-A000037: 2 3 5 6 7 8 10 11 12 13 14 15 17 18 19 20
((x mod ((2 + 2) + 1)) * (x div ((2 + 2) + 1)))
A257845: 0 0 0 0 0 0 1 2 3 4 0 2 4 6 8 0
(((2 + 2) * (x + 1)) + (x div ((2 + 2) + 1)))
A164086-A109238: 4 8 12 16 20 25 29 33 37 41 46 50 54 58 62 67
(((x + 2) * (x + 1)) + (x div ((2 + 2) + 1)))
A005991: 2 6 12 20 30 43
(((x + 2) * (x + 1)) - (x div ((2 + 2) + 1)))
A034110: 2 6 12 20 30 41 55 71 89 109 130 154 180 208 238 269
((((2 + 1) * x) + 2) - (x div ((2 + 2) + 1)))
A329848: 2 5 8 11 14 16 19 22 25 28 30 33 36 39 42 44
(((x mod (2 + 1)) * x) * (x mod ((2 + 2) + 1)))
A255680: 0 1 8 0 16 0 0 14 48 0 0 22 0 39 112 0
(((((2 + 2) + 1) * x) * x) * ((2 + 2) + 1))
A016850: 0 25 100 225 400 625 900 1225 1600 2025 2500 3025 3600 4225 4900 5625
((2 + 2) - (2 mod ((x * x) - ((2 + 2) + 1))))
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((((((2 + 1) * 2) + 1) * x) * (2 + 2)) + 1)
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((((((x + 1) * 2) + 1) * x) * (2 + 2)) + 1)
A118057: 1 21 57 109 177 261 361 477 609 757 921 1101 1297 1509 1737 1981
((((((x + 2) * 2) + 1) * x) * (2 + 2)) + 1)
A161617: 1 29 73 133 209 301 409 533 673 829 1001 1189 1393 1613 1849 2101
((((((x * 2) * 2) + 1) * x) * (2 + 2)) + 1)
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(((((x div 2) * (2 + 1)) + x) * (2 + 2)) + 1)
A228141: 1 5 21 25 41 45 61 65 81 85 101 105 121 125 141 145
(((((1 - x) mod (2 + 1)) - x) mod (2 + 2)) + 1)
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(x - ((((x mod (2 + 1)) - x) div (2 + 2)) - 1))
A287527-A187570: 1 2 3 5 6 7 9 10 11 13 14 15 16 17 18 20
(((((x * x) * (2 + 1)) + x) * (2 + 2)) - 1)
A179741: ~1 15 55 119 207 319 455 615 799 1007 1239 1495 1775 2079 2407 2759
(((((x * x) div (2 + 1)) + x) div (2 + 2)) + 1)
A253012: 1 1 1 2 3 4 5 6 8 10 11 13 16 18 20 23
(((((x * x) mod (2 + 1)) + x) div (2 + 2)) + 1)
A337635: 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4
((((x div ((2 + 2) * 2)) + x) div (2 + 2)) + 1)
A020913: 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 5
(((((x div 2) mod (2 + 2)) + x) div (2 + 2)) + 1)
A175018: 1 1 1 2 2 2 3 3 3 3 3 4 4 4 5 5
(((2 + 1) * x) - (((2 - x) div (2 + 2)) - 1))
A172513: 1 4 7 11 14 17 20 24 27 30 33 37 40 43 46 50
((((((2 + 1) * x) + 2) * x) * (2 + 2)) + 1)
A014641: 1 21 65 133 225 341 481 645 833 1045 1281 1541 1825 2133 2465 2821
((((((2 + 1) * x) - 2) * x) * (2 + 2)) + 1)
A185212: 1 5 33 85 161 261 385 533 705 901 1121 1365 1633 1925 2241 2581
(x - (((((2 - x) div 2) - x) div (2 + 2)) - 1))
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((((((x div 2) * x) mod 2) * x) div (2 + 2)) + 1)
A054576-A001492: 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 4
((((((x mod 2) * x) + 2) * x) div (2 + 2)) + 1)
A000463: 1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64
(((x * 2) - (((x div 2) + x) div (2 + 2))) + 1)
A247913-A189662-A186320: 1 3 5 6 8 10 11 13 14 16 18 19 21 23 24 26
((x + 1) mod ((((x mod 2) * x) div (2 + 2)) + 1))
A252459-A117371-A117370: 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0
((0 - 2) mod ((((x mod 2) * x) div (2 + 2)) + 1))
A237184: 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 2
(2 - (2 div ((((x mod 2) * x) div (2 + 2)) + 1)))
A053471: 0 0 0 0 0 1 0 1 0 2 0 2 0 2 0 2
((x * 2) mod ((((x mod 2) * x) div (2 + 2)) + 1))
A036664: 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2
((x div (((2 + 2) * 2) - (x div (2 + 2)))) + 1)
A005861: 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 4
(((x mod (2 + 2)) + 1) * ((x div (2 + 2)) + 1))
A268444: 1 2 3 4 2 4 6 8 3 6 9 12 4 8 12 16
((x + 1) mod ((x + 1) div ((x div (2 + 2)) + 1)))
A079644: 0 0 0 0 1 0 1 0 0 1 2 0 1 2 0 0
(((x + 2) + 2) - (2 div ((x div (2 + 2)) + 1)))
A161508: 2 3 4 5 7 8 9 10 12 13 14 15 16 17 18 19
(((x + 1) div 2) - (2 mod ((x div (2 + 2)) + 1)))
A339970-A106486: 0 1 1 2 2 3 3 4 2 3 3 4 4 5 5 6
(((x div 2) mod 2) - (2 mod ((x div (2 + 2)) + 1)))
A318703: 0 0 1 1 0 0 1 1 ~2 ~2 ~1 ~1 ~2 ~2 ~1 ~1
((((x div (2 + 2)) + 1) * (x mod (2 + 2))) + 1)
A194742: 1 2 3 4 1 3 5 7 1 4 7 10 1 5 9 13
((x * 2) - ((0 - 2) mod ((x mod (2 + 2)) + 1)))
A047456: 0 2 3 4 8 10 11 12 16 18 19 20 24 26 27 28
((x * 2) - (1 - (2 div ((x mod (2 + 2)) + 1))))
A047606: 1 2 3 5 9 10 11 13 17 18 19 21 25 26 27 29
((x + 2) mod ((x + 2) div ((x mod (2 + 2)) + 1)))
A084114: 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 1
(((x * 2) - (((1 - x) * x) div (2 + 2))) + 1)
A186353: 1 3 6 9 12 16 21 26 31 37 44 51 58 66 75 84
((((((x + 2) * 2) + x) * x) div (2 + 2)) + 1)
A238377: 1 2 6 10 17 24 34 44 57 70 86 102 121 140 162 184
(1 - (x div ((((2 - x) * x) div (2 + 2)) - 1)))
A185437: 1 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2
(((x + 1) * x) - (((x * x) div (2 + 2)) - 1))
A083462: 1 3 6 11
A263807: 1 3 6 11 17 25 34 45 57 71 86 103 121 141 162 185
(x - ((((1 - (x * x)) * x) * (2 + 2)) - 1))
A280089: 1 2 27 100 245 486 847 1352 2025 2890 3971 5292 6877 8750 10935 13456
((((x * x) mod (((2 + 1) * x) - 2)) mod 2) + 1)
A132587: 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1
(x - (((((x mod (2 + 1)) - x) div 2) - 2) - 1))
A286994: 3 4 5 8 9 10 12 13 14 17 18 19 21 22 23 26
(((x div 2) - (x div (((1 - x) div 2) - 2))) + 1)
A338006: 1 2 3 3 4 5 6 6 7 7 8 8 9 9 10 10
(x - ((((((x div 2) mod 2) - x) div 2) * 2) - 1))
A047431: 1 4 5 6 9 12 13 14 17 20 21 22 25 28 29 30
(((x * x) + 2) div ((((2 - x) + 2) * 2) + 1))
A208493: 0 0 1 3 18
((x mod ((2 - (((x div 2) * x) mod 2)) + 2)) + 1)
A065882: 1 2 3 1 1 2 3 2 1 2 3 3 1 2 3 1
((((x div 2) - (((x div 2) * x) mod 2)) + 2) + 1)
A102302: 3 3 4 3 5 5 6 5 7 7 8 7 9 9 10 9
(x div ((x div ((((x div 2) * x) mod 2) + 2)) + 1))
A339890-A293234-A105240: 0 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2
((((((x * x) + 1) div 2) mod (x + 2)) mod 2) + 1)
A318930: 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 2
((((((x + 2) + 2) + 2) * (x + 2)) * 2) - 1)
A153037: 23 41 63 89 119 153 191 233 279 329 383 441 503 569 639 713
((((((x * x) div 2) + 2) * (x + 2)) div 2) - 1)
A005998: 1 2 7 14 29 48 79 116 169 230 311 402 517 644 799 968
(2 - (x - ((((x + 2) * (x + 2)) * 2) + 1)))
A100038: 11 20 33 50 71 96 125 158 195 236 281 330 383 440 501 566
(((((x mod 2) + (x * 2)) * (x + 2)) div 2) + 1)
A110349: 1 5 9 18 25 39 49 68 81 105 121 150 169 203 225 264
(((((x + 2) + 2) + 1) * ((x + 2) + 2)) + 1)
A034111: 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381
(((((x - 1) * x) + 1) div ((x + 2) + 2)) + 1)
A097950: 1 1 1 2 2 3 4 4 5 6 7 8 9 10 11 12
(((x + 1) * (2 + 1)) * (((x + 2) + 2) + 1))
A067707: 15 36 63 96 135 180 231 288 351 420 495 576 663 756 855 960
(x - (((x * x) + 1) div (((x + 2) + 2) + 1)))
A276621-A130260-A120699-A072643: 0 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4
(x - (((x * x) - 1) div (((x + 2) + 2) + 1)))
A070939: 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4
((((x + 1) * x) div 2) * (((x + 2) + 2) + 1))
A267370: 0 6 21 48 90 150 231 336 468 630 825 1056 1326 1638 1995 2400
(x - (((x * x) + 2) div (((x + 2) + 2) + 1)))
A185283: 0 1 2 2 2 3 3 3 3 4 4 4 4 4 4 4
(x - (((x * x) div 2) div (((x + 2) + 2) + 1)))
A225553: 0 1 2 3 4 4 5 5 6 7 7 8 8 9 9 10
((((x - 1) div 2) * x) div (((x + 2) + 2) + 1))
A328090: 0 0 0 0 0 1 1 1 1 2 2 3 3 4 4 5
(((((1 - x) mod (2 + 1)) + (x * 2)) * 2) - 1)
A305859: 1 3 11 13 15 23 25 27 35 37 39 47 49 51 59 61
((((x * x) div (2 + 1)) + ((x * 2) * 2)) + 1)
A005280: 1 5 10 16 22 29
(((((x + 1) * x) div 2) + ((x * 2) * 2)) + 1)
A051936: 1 6 12 19 27 36 46 57 69 82 96 111 127 144 162 181
((((2 + 1) * x) + 1) * (((x * 2) * 2) + 1))
A033577: 1 20 63 130 221 336 475 638 825 1036 1271 1530 1813 2120 2451 2806
((((x + 2) * x) + 1) * (((x * 2) * 2) + 1))
A103532: 1 20 81 208 425 756 1225 1856 2673 3700 4961 6480 8281 10388 12825 15616
((((x * 2) + 1) * 2) * (((x * 2) * 2) + 1))
A157870: 2 30 90 182 306 462 650 870 1122 1406 1722 2070 2450 2862 3306 3782
((((x + 1) * x) div 2) * (((x * 2) * 2) + 1))
A135713: 0 5 27 78 170 315 525 812 1188 1665 2255 2970 3822 4823 5985 7320
((((x * 2) + 1) * x) * (((x * 2) * 2) + 1))
A316224: 0 15 90 273 612 1155 1950 3045 4488 6327 8610 11385 14700 18603 23142 28365
((((2 + 1) * x) - 1) * (((x * 2) * 2) - 1))
A033578: 1 6 35 88 165 266 391 540 713 910 1131 1376 1645 1938 2255 2596
((((((2 + 1) * 2) + 1) * (x div 2)) + 2) + 1)
A168376: 3 3 10 10 17 17 24 24 31 31 38 38 45 45 52 52
(x div (((((2 + 2) * 2) - (x div 2)) * 2) + 1))
A034398: 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 5
(x - ((((1 - (x div 2)) * (x div 2)) div 2) - 1))
A134519: 1 2 3 4 6 7 10 11 15 16 21 22 28 29 36 37
((((x * 2) * (x + 1)) mod ((x div 2) + 2)) + 1)
A137237: 1 1 1 1 1 1 5 3
(1 mod ((((x - 2) * 2) mod ((x div 2) + 2)) - 1))
A226516: 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1
(((((x div 2) * x) div 2) div ((x div 2) + 2)) + 1)
A109964: 1 1 1 1 2 2 2 3 3 4 4 4 5 5 6 6
(((((x div 2) * x) mod 2) * ((x div 2) + 2)) + 1)
A179054: 1 1 1 4 1 1 1 6 1 1 1 8 1 1 1 10
((2 - ((1 - (x * 2)) div ((x div 2) + 2))) + 1)
A262302: 3 4 4 5 5 6 6 6 6 6 6 6 6
(1 div (((x * 2) - 1) mod (((x div 2) + 2) + 1)))
A083923: 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0
(2 - (((2 - x) + 1) div (((x div 2) + 2) + 1)))
A064099: 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4
((((x div 2) + x) * 2) div (((x div 2) + 2) + 1))
A091092: 0 0 1 2 2 2 3 3 3 3 3 4 4 4 4 4
(x - (((x * x) div 2) div (((x div 2) + 2) + 1)))
A334097-A196050: 0 1 2 2 3 3 3 3 4 4 4 4 4 4 5 4
((((x div (2 + 1)) * x) div ((x div 2) + 2)) + 1)
A062051-A008650-A008649: 1 1 1 2 2 2 3 3 3 5 5 5 7 7 7 9
((((x div 2) + x) + 1) * (((x div 2) * 2) + 1))
A036499: 1 2 12 15 35 40 70 77 117 126 176 187 247 260 330 345
((((x div 2) mod 2) + x) + (((x div 2) * 2) + 1))
A047554: 1 2 6 7 9 10 14 15 17 18 22 23 25 26 30 31
(((x * x) * (x * x)) div (((x div 2) * 2) + 1))
A180928: 0 1 5 27
(((((x div 2) + x) div 2) - ((x div 2) mod 2)) + 1)
A130766: 1 1 1 2 4 4 4 5 7 7 7 8 10 10 10 11
(((((x mod (2 + 2)) * 2) - (x mod 2)) * 2) + 1)
A070354: 1 3 9 11 1 3 9 11 1 3 9 11 1 3 9 11
((((((x * 2) * 2) * 2) + (x mod 2)) + 2) + 1)
A134965: 3 12 19 28 35 44 51 60 67 76 83 92 99 108 115 124
(((x * 2) - (x mod ((2 - (x mod 2)) * 2))) + 1)
A047404: 1 2 3 6 9 10 11 14 17 18 19 22 25 26 27 30
(((x * 2) - ((x + 2) div ((x mod 2) - 2))) + 1)
A189327: 2 6 7 12 12 18 17 24 22 30 27 36 32 42 37 48
((x div (2 - ((x div 2) div ((x mod 2) - 2)))) + 1)
A189172: 1 1 1 2 2 2 2 2 3 2 3 2 3 2 3 2
((((x + 2) * (x + 1)) + ((x mod 2) * 2)) - 1)
A081352: 1 7 11 21 29 43 55 73 89 111 131 157 181 211 239 273
((((x + 2) * (x + 1)) - ((x mod 2) * 2)) + 1)
A081353: 3 5 13 19 31 41 57 71 91 109 133 155 183 209 241 271
(((((x + 2) * x) div 2) - ((x mod 2) * 2)) + 1)
A326657: 1 0 5 6 13 16 25 30 41 48 61 70 85 96 113 126
((((x + 2) mod ((2 + 2) + 1)) - 1) mod (2 + 1))
A152855: 1 2 0 2 0 1 2 0 2 0 1 2 0 2 0 1
(((((x + 1) div 2) * (2 + 1)) + 1) * (2 + 1))
A168410: 3 12 12 21 21 30 30 39 39 48 48 57 57 66 66 75
((((x - 2) mod ((x div 2) + 1)) + 1) div (2 + 1))
A026825: 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 2
(((x div ((2 - (x mod 2)) + 1)) + 1) div (2 + 1))
A161311-A161297-A161284-A161259-A161245-A161231-A161081-A161055-A161030-A160976: 0 0 0 0 0 1 1 1 1 1 1 2 1 2 1 2
(((((2 + 2) * 2) * (x + 1)) - 1) * (2 + 1))
A102603: 21 45 69 93 117 141 165 189 213 237 261 285 309 333 357 381
(((((x * 2) * 2) * (x + 1)) + 1) div (2 + 1))
A211480: 0 3 8 16 27 40 56 75 96 120 147 176 208 243 280 320
((x mod ((2 - (x div (0 - 2))) + 1)) div (2 + 1))
A080584: 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1
(((x * 2) div (((2 + 1) * 2) + 1)) mod (2 + 1))
A122879: 0 0 0 0 1 1 1 2 2 2 2 0 0 0 1 1
(((x * x) mod (((2 + 1) * 2) + 1)) div (2 + 1))
A289001-A288203-A286748-A171588: 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0
((x mod (((x mod (2 + 1)) * 2) + 1)) div (2 + 1))
A325135-A324053-A106405: 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0
(((x - 2) mod (((x + 1) div 2) + 1)) div (2 + 1))
A033105: 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1
(x - ((x div (((0 - 2) - 2) - 1)) * (2 + 1)))
A047567: 0 4 5 6 7 8 12 13 14 15 16 20 21 22 23 24
((((x - (x div (0 - 2))) * 2) + 1) * (2 + 1))
A306771: 3 15 21 33 39 51 57 69 75 87 93 105 111 123 129 141
((((x + 1) mod ((2 + 2) * 2)) - 1) mod (2 + 1))
A283310: 0 1 2 0 1 2 0 2 0 1 2
((1 - x) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A261309: 1 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13
(2 - (x - ((((2 + 2) * 2) + 1) * (2 + 1))))
A022985: 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14
((x * x) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070449: 0 1 4 9 16 25 9 22 10 0 19 13 9 7 7 9
((x mod (((x mod (2 + 2)) * 2) + 1)) div (2 + 1))
A024360: 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0
((((x * x) * 2) * ((2 + 2) + 1)) div (2 + 1))
A330451: 0 3 13 30 53 83 120 163 213 270 333 403 480 563 653 750
(x - (((1 - x) div ((2 + 2) + 1)) * (2 + 1)))
A047577: 0 1 5 6 7 8 9 13 14 15 16 17 21 22 23 24
(x - (((2 - x) div ((2 + 2) + 1)) * (2 + 1)))
A047555: 0 1 2 6 7 8 9 10 14 15 16 17 18 22 23 24
((2 - (x - (x div ((2 + 2) + 1)))) mod (2 + 1))
A190676: 2 1 0 2 1 1 0 2 1 0 0 2 1 0 2 2
(x - ((x - (x div ((2 + 2) + 1))) div (2 + 1)))
A076538: 0 1 2 2 3 4 5 5 6 7 8 8 9 10 10 11
((((((x + 2) * x) div 2) * 2) + 1) div (2 + 1))
A340318: 0 1 3 5 8 11 16
(((((x + 2) * (x + 2)) * 2) - 1) * (2 + 1))
A224334: 21 51 93 147 213 291 381 483 597 723 861 1011 1173 1347 1533 1731
((2 mod ((x mod ((x mod 2) + 2)) + 1)) * (2 + 1))
A187794: 0 0 0 0 0 6 0 0 0 0 0 6 0 0 0 0
((2 mod ((x div ((x mod 2) - 2)) - 1)) mod (2 + 1))
A333839: 0 0 0 1 2 2 1 0 0 1 2 2 1 0 0 1
(((2 - (x div (2 + 1))) mod (2 + 1)) * (2 + 1))
A153509: 6 6 6 3 3 3 0 0 0 6 6 6 3 3 3 0
(x - (((x div (2 + 1)) mod (2 + 1)) * (2 + 1)))
A105186: 0 1 2 0 1 2 0 1 2 9 10 11 9 10 11 9
(2 - (((x div (0 - 2)) * (2 + 1)) * (2 + 1)))
A168413: 2 11 11 20 20 29 29 38 38 47 47 56 56 65 65 74
(1 - (x - (((2 + 2) * (2 + 1)) * (2 + 1))))
A022993: 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22
((x * x) mod (((2 + 2) * (2 + 1)) * (2 + 1)))
A070458: 0 1 4 9 16 25 0 13 28 9 28 13 0 25 16 9
((2 - (x - ((x div 2) div (2 + 1)))) mod (2 + 1))
A190893: 2 1 0 2 1 0 0 2 1 0 2 1 1 0 2 1
(x - ((x - ((x div 2) mod (2 + 1))) div (2 + 1)))
A099479: 0 1 2 3 4 4 4 5 6 7 8 8 8 9 10 11
((x mod (2 - ((1 - x) div (2 + 1)))) div (2 + 1))
A011700: 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0
((((x div (2 + 2)) + x) div (2 + 1)) mod (2 + 1))
A327298: 0 0 0 1 1 2 2 2 0 0 1 1 2 2 2 0
((x + 2) - ((1 - (x div (2 + 1))) div (2 + 1)))
A171524: 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 19
((((x mod 2) * 2) * (x div (2 + 1))) div (2 + 1))
A036663: 0 0 0 0 0 0 0 1 0 2 0 2 0 2 0 3
(x - ((1 - (x - (x div (2 + 1)))) div (2 + 1)))
A039179: 0 1 3 4 5 6 7 9 10 11 12 14 15 16 17 18
((((((2 + 2) + 1) * x) * 2) + 1) * (2 + 1))
A139222: 3 33 63 93 123 153 183 213 243 273 303 333 363 393 423 453
((((x * 2) + 1) * ((x + 2) + 1)) div (2 + 1))
A183857: 1 4 8 14 21 29 39 50 62 76 91 107 125 144 164 186
((((x + 1) * 2) * ((x + 2) + 1)) * (2 + 1))
A067726: 18 48 90 144 210 288 378 480 594 720 858 1008 1170 1344 1530 1728
((((x + 1) div 2) * ((x * 2) + 1)) * (2 + 1))
A274757: 0 9 15 42 54 99 117 180 204 285 315 414 450 567 609 744
((((x * x) * 2) * ((x * 2) + 1)) * (2 + 1))
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((((x + 1) * x) * ((x * 2) + 1)) div (2 + 1))
A006331: 0 2 10 28 60 110 182 280 408 570 770 1012 1300 1638 2030 2480
((((x - 2) * x) * ((x * 2) + 1)) div (2 + 1))
A146298: 0 ~1 0 7 24 55 104 175 272 399 560 759 1000 1287 1624 2015
((((x * 2) * 2) * ((x * 2) - 1)) * (2 + 1))
A143698: 0 12 72 180 336 540 792 1092 1440 1836 2280 2772 3312 3900 4536 5220
(((x - (2 + 1)) mod ((x div 2) + 1)) div (2 + 1))
A026827: 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1
((((x - 1) div 2) * ((x div 2) - 1)) div (2 + 1))
A174709: 0 0 0 0 0 0 1 2 3 4 5 6 8 10 12 14
(((((1 - x) * x) * (x div 2)) + 1) mod (2 + 1))
A173432: 1 1 2 1 1 0 1 1 2 1 1 0 1 1 2 1
((((x + 1) * x) - ((x mod 2) - 1)) * (2 + 1))
A270510: 3 6 21 36 63 90 129 168 219 270 333 396 471 546 633 720
(x - (((((1 - x) * x) div 2) - 1) div (2 + 1)))
A211004-A025693-A022794: 1 2 3 5 7 9 12 15 18 22 26 30 35 40 45 51
(x - ((((x div (2 + 1)) - x) - 1) div (2 + 1)))
A277644: 1 2 3 4 6 7 8 9 11 12 13 14 15 17 18 19
((((x div ((2 + 2) * 2)) - x) - 1) mod (2 + 1))
A190766: 2 1 0 2 1 0 2 1 1 0 2 1 0 2 1 0
(((((x div (2 + 2)) * 2) + x) + 1) * (2 + 1))
A203016: 3 6 9 12 21 24 27 30 39 42 45 48 57 60 63 66
((((((x div 2) * x) mod 2) + x) + 1) div (2 + 1))
A189631: 0 0 1 1 1 2 2 3 3 3 3 4 4 4 5 5
(((((x mod 2) + (x * 2)) * x) + 1) div (2 + 1))
A222010: 0 1 3 7
A063437: 0 1 3 7 11 18
((((x * 2) * (x + 1)) * (x + 1)) * (2 + 1))
A187163: 0 24 108 288 600 1080 1764 2688 3888 5400 7260 9504 12168 15288 18900 23040
(((x - (x div (0 - 2))) * (x + 1)) div (2 + 1))
A260708: 0 1 3 6 10 16 21 29 36 46 55 68 78 93 105 122
(x - (1 - (((2 + 2) * (x + 1)) * (2 + 1))))
A269100: 11 24 37 50 63 76 89 102 115 128 141 154 167 180 193 206
(1 - (x - (((2 + 2) * (x + 1)) * (2 + 1))))
A104342: 13 24 35 46 57 68 79
(((((x + 2) * x) * 2) * (x + 1)) div (2 + 1))
A210440: 0 4 16 40 80 140 224 336 480 660 880 1144 1456 1820 2240 2720
(((x - 2) div (2 + 1)) + ((x + 1) * (2 + 1)))
A297465: 2 5 9 12 15 19 22 25 29 32 35 39 42 45 49 52
(((x div 2) div (2 + 1)) + ((x + 1) * (2 + 1)))
A292666-A177102: 3 6 9 12 15 18 22 25 28 31 34 37 41 44 47 50
(((x div (0 - 2)) mod 2) + ((x + 1) * (2 + 1)))
A013574: 3 7 10 12 15 19 22 24 27 31 34 36 39 43 46 48
((((x + 1) div 2) div 2) + ((x + 1) * (2 + 1)))
A059540: 3 6 9 13 16 19 22 26 29 32 35 39 42 45 48 52
(((x + 1) mod (2 + 2)) + ((x + 1) * (2 + 1)))
A080458: 4 8 12 12 16 20 24 24 28 32 36 36 40 44 48 48
(((x * x) div (2 + 2)) + ((x + 1) * (2 + 1)))
A036572: 3 6 10 14 19 24 30 36 43 50 58 66 75 84 94 104
((((x mod 2) + x) * 2) + ((x + 1) * (2 + 1)))
A235089: 3 10 13 20 23 30 33 40 43 50 53 60 63 70 73 80
(((x * 2) div (2 + 1)) + ((x + 1) mod (2 + 1)))
A133310: 1 2 1 3 4 3 5 6 5 7 8 7 9 10 9 11
(x - ((x div (2 + 1)) - ((x + 1) mod (2 + 1))))
A130727: 1 3 2 3 5 4 5 7 6 7 9 8 9 11 10 11
(((((x * x) - 1) * x) * (x + 1)) div (2 + 1))
A288961: 0 0 6 32 100 240 490 896 1512 2400 3630 5280 7436 10192 13650 17920
(2 - (1 mod ((x mod 2) - ((x - 1) * (2 + 1)))))
A229489: 1 2 4 6 10 12 16 18 22 24 28 30 34 36 40 42
((((x + 2) + 2) * 2) - ((x - 1) div (2 + 1)))
A295743: 9 10 12 14 15
((((x * x) * 2) * ((x * x) - 1)) div (2 + 1))
A072819: 0 0 8 48 160 400 840 1568 2688 4320 6600 9680 13728 18928 25480 33600
((x mod 2) - ((x div 2) div ((0 - 2) * (2 + 1))))
A175150: 0 1 1 2 1 2 1 2 1 2 1 2 1 2 2 3
(((2 + 1) * x) - (x div ((0 - 2) * (2 + 1))))
A198265: 0 4 7 10 13 16 19 23 26 29 32 35 38 42 45 48
(((((x + 1) div (2 + 1)) + 1) * 2) div (2 + 1))
A186444: 0 0 1 1 1 2 2 2 2 2 2 3 3 3 4 4
(x - ((((x div (2 + 1)) + 1) * 2) div (2 + 1)))
A051068: 0 1 2 2 3 4 4 5 6 7 8 9 9 10 11 11
(x - (((x div ((0 - 2) - 1)) - 2) div (2 + 1)))
A230313: 1 2 3 4 6 7 8 9 10 11 12 13 14 16 17 18
((((((x mod 2) * 2) * 2) + 1) * 2) * (2 + 1))
A165734: 6 30 6 30 6 30 6 30 6 30 6 30 6 30 6 30
(((x * x) * x) mod (((2 + 1) * 2) * (2 + 1)))
A070480: 0 1 8 9 10 17 0 1 8 9 10 17 0 1 8 9
(((2 - ((1 - x) div (2 + 1))) * 2) div (2 + 1))
A131996: 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4
(x - ((((1 - x) div (2 + 1)) - 2) div (2 + 1)))
A232490: 1 2 3 4 5 7 8 9 10 11 12 13 14 15 17 18
(x - ((((1 - x) div (2 + 1)) * 2) * (2 + 1)))
A135043-A054966: 0 1 8 9 10 17 18 19 26 27 28 35 36 37 44 45
(x - ((((1 - x) div (2 + 1)) * 2) div (2 + 1)))
A039177: 0 1 3 4 5 7 8 9 10 11 12 14 15 16 18 19
(((((x + 2) * x) * (2 + 1)) + 2) * (2 + 1))
A157872: 6 33 78 141 222 321 438 573 726 897 1086 1293 1518 1761 2022 2301
((((x * 2) - (x div (2 + 1))) * 2) * (2 + 1))
A328632: 0 12 24 30 42 54 60 72 84 90 102 114 120 132 144 150
(((x * 2) mod ((x div (2 + 1)) + 2)) div (2 + 1))
A336562-A328712-A320005: 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0
(x - ((1 - ((x div (2 + 1)) * 2)) div (2 + 1)))
A138083: 0 1 2 4 5 6
A039188: 0 1 2 4 5 6 7 8 9 11 12 13 15 16 17 18
(x - ((x mod ((x mod (2 + 1)) + 2)) div (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A131232: 0 1 2 3 4 5 6 7 8 9 10 10 12 13 14 15
(x - (1 - ((((x * 2) + 1) * 2) * (2 + 1))))
A154609: 5 18 31 44 57 70 83 96 109 122 135 148 161 174 187 200
(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017473: 7 18 29 40 51 62 73 84 95 106 117 128 139 150 161 172
((((x + 2) div ((x mod 2) + 1)) + 2) div (2 + 1))
A154958: 1 1 2 1 2 1 3 2 4 2 4 2 5 3 6 3
((((((2 + 2) + 1) * x) + 1) * 2) * (2 + 1))
A139249: 6 36 66 96 126 156 186 216 246 276 306 336 366 396 426 456
(((((x + 2) * x) * (x + 1)) div 2) div (2 + 1))
A000292: 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680
(((x div ((2 + 2) * (0 - 2))) mod 2) * (2 + 1))
A179804: 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0
((x mod (2 - (x mod ((0 - 2) - 2)))) div (2 + 1))
A284258-A284256-A269249-A180823-A073490: 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0
(x - ((((x div (2 + 1)) * 2) * 2) div (2 + 1)))
A089792: 0 1 2 2 3 4 4 5 6 5 6 7 7 8 9 9
((((((x + 1) * x) + 1) * 2) * 2) div (2 + 1))
A008577: 1 4 9 17 28 41 57 76 97 121 148 177 209 244 281 321
(((((x + 2) * (x + 1)) div 2) div 2) div (2 + 1))
A064313: 0 0 1 1 2 3 4 6 7 9 11 13 15 17 20 22
(1 - (((((x + 1) div 2) div 2) * 2) div (2 + 1)))
A014086: 1 1 1 1 1 1 1 0 0 0 0 ~1 ~1 ~1 ~1 ~1
((((x + 2) mod ((2 + 2) * 2)) * 2) mod (2 + 1))
A120614: 1 0 2 1 0 2 0 2 1 0 2 1 0 2 0 2
((x * x) mod ((((2 + 2) * 2) * 2) * (2 + 1)))
A070470: 0 1 4 9 16 25 36 1 16 33 4 25 0 25 4 33
((x mod ((((x div 2) mod 2) + 2) + 2)) div (2 + 1))
A281302: 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0
((((x - ((x div 2) mod 2)) div 2) * 2) div (2 + 1))
A080352: 0 0 0 0 1 1 1 2 2 2 2 3 4 4 4 4
(x div ((((x + 1) mod (2 + 2)) + 2) * (2 + 1)))
A339927: 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 2
((((x + 2) + 1) mod ((2 + 2) * 2)) mod (2 + 1))
A159917: 0 1 2 0 1 0 1 2 0 1 2 0 1 0 1 2
((x * x) - ((1 - ((2 + 2) * 2)) * (2 + 1)))
A241851: 21 22 25 30 37 46 57 70 85 102 121 142 165 190 217 246
((x * x) - (1 - (((2 + 2) * 2) * (2 + 1))))
A241889: 23 24 27 32 39 48 59 72 87 104 123 144 167 192 219 248
((x * x) - (2 - (((2 + 2) * 2) * (2 + 1))))
A114963: 22 23 26 31 38 47 58 71 86 103 122 143 166 191 218 247
(((x * x) * x) mod (((2 + 2) * 2) * (2 + 1)))
A070608-A070486: 0 1 8 3 16 5 0 7 8 9 16 11 0 13 8 15
((x * 2) - ((x mod ((2 + 2) * 2)) div (2 + 1)))
A050731: 0 2 4 5 7 9 10 12 16
((x mod (((1 - x) mod (2 + 2)) + 2)) div (2 + 1))
A277017-A277007: 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1
(x - (2 - (((x div (2 + 2)) + 2) * (2 + 1))))
A191164: 4 5 6 7 11 12 13 14 18 19 20 21 25 26 27 28
(x - (((x - (x mod (2 + 2))) * 2) div (2 + 1)))
A260112: 0 1 2 3 2 3 4 5 3 4 5 6 4 5 6 7
(1 - (x - ((((x * 2) * 2) * 2) * (2 + 1))))
A215148: 1 24 47 70 93 116 139 162 185 208 231 254 277 300 323 346
(x div (x - ((((x div 2) - 2) - 2) * (2 + 1))))
A213325: 0 0 0 0 0 0 0 0 1 1 1 1 2 1 2 2
((x mod ((x mod ((x mod 2) + 2)) + 2)) mod (2 + 1))
A260393: 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1
((((x + 2) div (2 + 1)) mod (2 + 2)) div (2 + 1))
A102679: 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0
((x mod (x - ((x + 1) mod (2 + 2)))) div (2 + 1))
A316491-A307598-A284975-A277155-A167261-A035696-A035654: 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0
(((((x div 2) + 1) div 2) mod (2 + 2)) div (2 + 1))
A244157: 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0
(((x mod ((x div 2) + 2)) mod (2 + 2)) div (2 + 1))
A037833: 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
(((((x div 2) * x) div 2) mod (2 + 2)) div (2 + 1))
A306488-A167264: 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0
(0 - ((x * x) div (1 - ((2 + 2) * (2 + 1)))))
A036409: 0 1 1 1 2 3 4 5 6 8 10 11 14 16 18 21
(x - ((x - ((2 - x) div (2 + 2))) div (2 + 1)))
A189688: 0 1 2 2 3 3 4 4 5 6 6 7 7 8 9 9
(((((2 - x) div 2) - x) mod (2 + 2)) div (2 + 1))
A068716: 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0
(((((x * x) + 2) * x) * (2 + 2)) div (2 + 1))
A217873: 0 4 16 44 96 180 304 476 704 996 1360 1804 2336 2964 3696 4540
((((x div 2) * 2) + (x div (2 + 2))) div (2 + 1))
A090616: 0 0 0 0 1 1 2 2 3 3 4 4 5 5 5 5
((((x + 1) * x) + (x mod (2 + 2))) div (2 + 1))
A192225: 0 1 2 5
A115200: 0 1 2 5 6 10 14
(x - ((((1 - x) * x) * (2 + 2)) * (2 + 1)))
A255185: 0 1 26 75 148 245 366 511 680 873 1090 1331 1596 1885 2198 2535
((x - (((1 - x) * x) * (2 + 2))) * (2 + 1))
A152767: 0 3 30 81 156 255 378 525 696 891 1110 1353 1620 1911 2226 2565
(1 - (x - (((x * x) * (2 + 2)) * (2 + 1))))
A244803: 1 12 47 106 189 296 427 582 761 964 1191 1442 1717 2016 2339 2686
((2 - (x - ((x * x) div (2 + 2)))) div (2 + 1))
A211540: 0 0 0 0 0 1 1 2 3 4 5 7 8 10 12 14
((x - ((((x div 2) * x) mod 2) - 2)) div (2 + 1))
A339332: 0 1 1 1 2 2 2 2 3 3 4 4 4 5 5 5
((((x + 2) * x) * ((x + 2) + 2)) div (2 + 1))
A077415: 0 5 16 35 64 105 160 231 320 429 560 715 896 1105 1344 1615
(x - ((x * 2) mod (((x + 2) * 2) div (2 + 1))))
A307531: 0 1 2 3 4 3 4 5 4 5 6 5 6 7 6 7
(((((x - 1) * x) div (x + 2)) * 2) div (2 + 1))
A248333: 0 0 0 0 1 1 2 2 3 4 4 5 6 6 7 8
((((x - (2 + 1)) * (x - 2)) div 2) div (2 + 1))
A058937: 1 0 0 0 0 1 2 3 5 7 9 12 15 18 22 26
(((((x + 2) * 2) + (x div 2)) * 2) div (2 + 1))
A288475: 2 4 6 7 9 10 12 14 16 17 19 20 22 24 26 27
((((x - 1) * 2) div ((x div 2) + 2)) div (2 + 1))
A287867: ~1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1
((((x - 2) * x) mod ((x div 2) + 2)) mod (2 + 1))
A187969: 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0
((((((x + 2) + 2) + 1) * x) div 2) * (2 + 1))
A140673: 0 9 21 36 54 75 99 126 156 189 225 264 306 351 399 450
(((((x * x) * (2 + 1)) + x) * 2) * (2 + 1))
A045946: 0 24 84 180 312 480 684 924 1200 1512 1860 2244 2664 3120 3612 4140
(((((x * x) * (2 + 1)) + x) div 2) * (2 + 1))
A081266: 0 6 21 45 78 120 171 231 300 378 465 561 666 780 903 1035
(((((x * x) * (2 + 1)) - x) * 2) * (2 + 1))
A153792: 0 12 60 144 264 420 612 840 1104 1404 1740 2112 2520 2964 3444 3960
(((((x * x) * (2 + 1)) - x) div 2) * (2 + 1))
A062741: 0 3 15 36 66 105 153 210 276 351 435 528 630 741 861 990
((((((x * x) * 2) + 1) * x) * 2) div (2 + 1))
A035597: 0 2 12 38 88 170 292 462 688 978 1340 1782 2312 2938 3668 4510
((x - (((2 div (x + 1)) - x) div 2)) + (2 + 1))
A186149: 2 4 6 8 9 11 12 14 15 17 18 20 21 23 24 26
(((((x mod (2 + 1)) div 2) * x) div 2) div (2 + 1))
A336757-A141100-A035692-A024164-A024159: 0 0 0 0 0 0 0 0 1 0 0 1 0 0 2 0
(((((x * x) + (2 + 2)) * x) + 2) div (2 + 1))
A124677: 0 2 6 13 27
((((((2 + 1) * x) - 2) * x) * 2) * (2 + 1))
A153796: 0 6 48 126 240 390 576 798 1056 1350 1680 2046 2448 2886 3360 3870
((((((x div 2) * x) mod 2) * x) div 2) div (2 + 1))
A343222: 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 2
(((((x + 1) * x) + 1) * (x + 2)) div (2 + 1))
A213396: 0 3 9 21 42 72 114 171 243 333 444 576 732 915 1125 1365
((((x * x) * (2 + 2)) div (x + 2)) div (2 + 1))
A263135: 0 0 1 2 3 4 6 7 8 9 11 12 13 15 16 17
(((((x div 2) + x) + 2) * (x + 2)) div (2 + 1))
A264041: 1 3 6 10 16 21 29 36 46 55 68 78 93 105 122 136
((((x * x) * (x - 2)) * (x + 2)) * (2 + 1))
A339488: 0 ~9 0 135 576 1575 3456 6615 11520 18711 28800 42471 60480 83655 112896 149175
(((0 - x) * (x * 2)) mod ((x + 2) * (2 + 1)))
A138339: 0 7 4 12
(((((x - 1) * x) - 1) * (x - 2)) div (2 + 1))
A152728: 0 0 0 1 7 19 38 68 110 165 237 327 436 568 724 905
((x * 2) - ((2 mod (1 - (x * 2))) div (2 + 1)))
A038127: 0 2 5 7 10 13 15 18 21 23 26 29 31 34 37 39
((x mod 2) - (x mod (1 - ((x * 2) * (2 + 1)))))
A063093: 0 5 9 15 19 25 29 35 39 45 49 55 59 65 69 75
((((x + 1) * x) div 2) + ((x * 2) * (2 + 1)))
A056119: 0 7 15 24 34 45 57 70 84 99 115 132 150 169 189 210
((((x - 1) * x) div 2) + ((x * 2) * (2 + 1)))
A056115: 0 6 13 21 30 40 51 63 76 90 105 121 138 156 175 195
(((((x * x) + 2) * x) * (x * 2)) div (2 + 1))
A035598: 0 2 16 66 192 450 912 1666 2816 4482 6800 9922 14016 19266 25872 34050
((x - 1) div (2 - ((1 - (x div 2)) div (2 + 1))))
A064661: ~1 0 0 1 1 1 1 2 2 2 2 2 2 3 3 3
(((2 + 1) * x) - ((1 - (x div 2)) div (2 + 1)))
A198264: 0 3 6 9 13 16 19 22 25 28 32 35 38 41 44 47
(((x mod ((0 - 2) - 2)) * (x div 2)) mod (2 + 1))
A186034: 0 0 1 2 0 0 0 0 0 0 2 1 0 0 1 2
(x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1)))
A326632-A326631-A326630-A326629-A326628-A326626: 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5
((x * x) - (((x div 2) * (x div 2)) * (2 + 1)))
A213038: 0 1 1 6 4 13 9 22 16 33 25 46 36 61 49 78
((x div ((2 + 2) + 1)) - ((x div 2) div (2 + 1)))
A011673: 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1
((x mod ((2 + 1) * 2)) * ((x div 2) div (2 + 1)))
A257846: 0 0 0 0 0 0 0 1 2 3 4 5 0 2 4 6
((((2 + 1) * x) + 2) - ((x div 2) div (2 + 1)))
A276385-A140099-A109232: 2 5 8 11 14 17 19 22 25 28 31 34 36 39 42 45
((((x div 2) + x) + 2) - ((x div 2) mod (2 + 1)))
A275910: 2 3 4 5 6 7 11 12 13 14 15 16 20 21 22 23
(((x * 2) - (x mod 2)) - ((x div 2) mod (2 + 1)))
A153883: 0 1 3 4 6 7 12 13 15 16 18 19 24 25 27 28
(((x * x) * (2 + 2)) - ((x mod 2) * (2 + 1)))
A195146: 0 1 16 33 64 97 144 193 256 321 400 481 576 673 784 897
((((x + 2) * x) * 2) - ((x mod 2) * (2 + 1)))
A258717: 0 3 16 27 48 67 96 123 160 195 240 283 336 387 448 507
((x + 2) - ((((1 - x) * x) div 2) div (2 + 1)))
A266542: 2 3 5 6 8 11 13 16 20 23 27 32 36 41 47 52
((((((x * x) - 1) * x) * x) div 2) div (2 + 1))
A008911: 0 0 2 12 40 100 210 392 672 1080 1650 2420 3432 4732 6370 8400
(x - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A222010: 0 1 3 7
A004006: 0 1 3 7 14 25 41 63 92 129 175 231 298 377 469 575
(2 - (((x * 2) * 2) div ((0 - x) - (2 + 1))))
A060197: 2 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6
(((((x * 2) * (2 + 1)) + 1) * x) * (2 + 1))
A144314: 0 21 78 171 300 465 666 903 1176 1485 1830 2211 2628 3081 3570 4095
(((x - ((x div (0 - 2)) - 1)) * x) div (2 + 1))
A260699: 0 1 2 6 9 15 20 28 34 45 53 66 76 91 102 120
((((x * x) div ((2 + 2) + 1)) * x) mod (2 + 1))
A085859: 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0
(((((x * x) * (2 + 2)) - 1) * x) div (2 + 1))
A000447: 0 1 10 35 84 165 286 455 680 969 1330 1771 2300 2925 3654 4495
(x - ((((x - 1) div (2 + 1)) - x) div (2 + 1)))
A231004-A039161-A032797: 1 2 3 4 5 7 8 9 10 12 13 14 15 16 18 19
(x - ((((x - 2) div (2 + 1)) - x) div (2 + 1)))
A175439-A039160: 1 2 3 4 6 7 8 9 10 12 13 14 15 17 18 19
(1 - ((((x div 2) mod (2 + 1)) - x) div (2 + 1)))
A099480: 1 2 2 2 2 2 3 4 4 4 4 4 5 6 6 6
(x - ((((x div 2) mod (2 + 1)) - x) div (2 + 1)))
A047424: 0 2 3 4 5 6 8 10 11 12 13 14 16 18 19 20
((x * x) div (((x div (2 + 1)) + x) + (2 + 1)))
A125229: 0 0 0 1 2 2 3 4 4 5 6 7 7 8 9 9
((((((2 + 2) + 1) * x) - 1) * x) * (2 + 1))
A060785: 0 12 54 126 228 360 522 714 936 1188 1470 1782 2124 2496 2898 3330
((((((x + 2) + 1) * x) - 1) * x) div (2 + 1))
A084990: 0 1 6 17 36 65 106 161 232 321 430 561 716 897 1106 1345
(1 - ((x mod 2) - (((x + 1) * x) * (2 + 1))))
A090381: 1 6 19 36 61 90 127 168 217 270 331 396 469 546 631 720
(((2 - ((x mod (2 + 1)) mod 2)) * x) div (2 + 1))
A009947: 0 0 1 2 1 3 4 2 5 6 3 7 8 4 9 10
(((((x + 2) * (x + 1)) + 2) * x) * (2 + 1))
A280304: 0 24 84 198 384 660 1044 1554 2208 3024 4020 5214 6624 8268 10164 12330
(((((x + 2) * (x + 1)) div 2) + x) * (2 + 1))
A297675: 3 12 24 39 57 78 102 129 159 192 228 267 309 354 402 453
(1 - ((((x div (0 - 2)) mod 2) - x) div (2 + 1)))
A058032: 1 1 2 2 3 3 3 4 4 4 4 5 5 5 6 6
(((((x div (2 + 1)) * 2) * 2) + x) + (2 + 1))
A047364: 3 4 5 10 11 12 17 18 19 24 25 26 31 32 33 38
((((((x * 2) + 1) * 2) * 2) + x) * (2 + 1))
A154266: 12 39 66 93 120 147 174 201 228 255 282 309 336 363 390 417
((((((x * x) - 1) div 2) div 2) * x) div (2 + 1))
A006584: 0 0 0 2 4 10 16 28 40 60 80 110 140 182 224 280
((((x div ((0 - 2) - 2)) mod 2) + x) div (2 + 1))
A094708: 0 0 1 1 1 1 2 2 2 3 3 4 4 4 4 5
((((x mod ((x mod 2) + 2)) div 2) * x) div (2 + 1))
A094518: 0 0 0 0 0 1 0 0 0 0 0 3 0 0 0 0
(1 - ((((x div 2) mod (2 + 2)) - x) div (2 + 1)))
A208251: 1 2 2 2 2 2 2 3 4 4 4 5 5 5 5 5
(((x - ((1 - x) * (2 + 2))) * x) * (2 + 1))
A153448: 0 3 36 99 192 315 468 651 864 1107 1380 1683 2016 2379 2772 3195
(2 - ((x div 2) - (((x mod 2) + x) * (2 + 1))))
A166539: 2 8 7 13 12 18 17 23 22 28 27 33 32 38 37 43
(((x + 1) * 2) - (((x mod 2) - x) div (2 + 1)))
A283964: 2 4 7 9 12 14 16 18 21 23 26 28 30 32 35 37
((x + 1) mod (2 - (((x mod 2) - x) div (2 + 1))))
A122059: 1 0 0 1 1 2 3 0 4
((x div ((x div (2 + 1)) + 1)) + (x div (2 + 1)))
A276581-A084557-A084500-A030530: 0 1 2 2 3 3 4 4 4 5 5 5 6 6 6 7
(x - ((1 - (x div (2 + 1))) * (x div (2 + 1))))
A087278: 0 1 2 3 4 5 8 9 10 15 16 17 24 25 26 35
((x * x) - ((x div (2 + 1)) * (x div (2 + 1))))
A213035: 0 1 4 8 15 24 32 45 60 72 91 112 128 153 180 200
(((x div ((2 + 2) + 1)) * 2) + (x div (2 + 1)))
A268395: 0 0 0 1 1 3 4 4 4 5 7 7 8 8 8 11
((((x div 2) * (2 + 1)) div 2) + (x div (2 + 1)))
A187323: 0 0 1 2 4 4 6 6 8 9 10 10 13 13 14 15
((((x + 2) * (x + 1)) div 2) + (x div (2 + 1)))
A083462: 1 3 6 11
A024401: 1 3 6 11 16 22 30 38 47 58 69 81 95 109 124 141
((x + 2) div (((x div 2) + 2) - (x div (2 + 1))))
A086833-A054725: 1 1 1 2 2 2 2 3 2 3 3 3 3 3 3 4
((((x * 2) + 1) * (x + 2)) - (x div (2 + 1)))
A248121: 2 9 20 34 53 76 102 133 168 206 249 296 346 401 460 522
(1 - ((2 - x) div ((x + 2) - (x div (2 + 1)))))
A211667-A001069: 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3
(2 - ((2 - x) div ((x + 2) - (x div (2 + 1)))))
A063510-A010096: 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4
((((x div 2) + x) + (x * 2)) - (x div (2 + 1)))
A063204: 0 3 7 9 13 16 19 22 26 28 32 35 38 41 45 47
((((x - 1) div 2) * (x div 2)) - (x div (2 + 1)))
A108579: 0 0 0 0 1 3 4 7 10 13 17 22 26 32 38 44
((((2 + 2) * (x + 1)) + x) - (x div (2 + 1)))
A214989-A038123: 4 9 14 18 23 28 32 37 42 46 51 56 60 65 70 74
((((2 + 2) mod (x + 1)) + x) + (x div (2 + 1)))
A010376: 0 1 3 4 9 10 12
(((1 - (x div 2)) mod (2 + 1)) - (x mod (2 + 1)))
A117188: 1 0 ~2 0 1 0 1 0 ~2 0 1 0 1 0 ~2 0
((x * x) mod (((x mod 2) + 2) + (x mod (2 + 1))))
A125203: 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0
(((((x * x) * (2 + 1)) + x) * x) * (2 + 1))
A085409: 0 12 84 270 624 1200 2052 3234 4800 6804 9300 12342 15984 20280 25284 31050
((((((x * x) * 2) + 1) * x) * x) div (2 + 1))
A071270: 0 1 12 57 176 425 876 1617 2752 4401 6700 9801 13872 19097 25676 33825
(((((2 + 2) * 2) * 2) + (x * x)) + (2 + 1))
A241849: 19 20 23 28 35 44 55 68 83 100 119 140 163 188 215 244
((((x * x) div (2 + 2)) + (x * x)) div (2 + 1))
A033438: 0 0 1 3 6 10 15 20 26 33 41 50 60 70 81 93
((((x * x) + 1) * x) * ((x * x) + (2 + 1)))
A124152: 0 8 70 360 1292 3640 8658 18200 34840 61992 104030 166408 255780 380120 548842 772920
(((x * x) div (2 + 2)) + ((x * x) * (2 + 1)))
A227541: 0 3 13 29 52 81 117 159 208 263 325 393 468 549 637 731
(x - (((x mod 2) * 2) - ((x * x) * (2 + 1))))
A200039: 0 2 14 28 52 78 114 152 200 250 310 372 444 518 602 688
((((x + 1) * x) div 2) + ((x * x) * (2 + 1)))
A022265: 0 4 15 33 58 90 129 175 228 288 355 429 510 598 693 795
((((x - 1) * x) div 2) + ((x * x) * (2 + 1)))
A022264: 0 3 13 30 54 85 123 168 220 279 345 418 498 585 679 780
((((x + 2) * x) + 1) + ((x * x) div (2 + 1)))
A238705: 1 4 10 19 30 44 61 80 102 127 154 184 217 252 290 331
(2 - (((x div 2) - ((x * x) * x)) div (2 + 1)))
A118332: 2 3 5 11 23
((((((2 + 2) * (2 + 1)) - 1) * x) * 2) + 1)
A161709: 1 23 45 67 89 111 133 155 177 199 221 243 265 287 309 331
((((((x * 2) * (2 + 1)) + 1) * x) * 2) + 1)
A194454: 1 15 53 115 201 311 445 603 785 991 1221 1475 1753 2055 2381 2731
((((((x * 2) * (2 + 1)) - 1) * x) * 2) - 1)
A185918: ~1 9 43 101 183 289 419 573 751 953 1179 1429 1703 2001 2323 2669
((((x mod ((x div (2 + 1)) + 1)) + x) div 2) + 1)
A226142: 1 1 2 3 3 4 4
A014245: 1 1 2 3 3 4 4 5 6 6 7 8 8 9 10 10
(((((((x + 2) + 2) + 2) + 1) * x) * 2) + 1)
A161549: 1 17 37 61 89 121 157 197 241 289 341 397 457 521 589 661
(((((((x * 2) * 2) * 2) + 1) * x) * 2) + 1)
A204675: 1 19 69 151 265 411 589 799 1041 1315 1621 1959 2329 2731 3165 3631
(((((x div 2) div ((2 + 2) + 1)) + x) * 2) + 1)
A338316-A193414-A138217: 1 3 5 7 9 11 13 15 17 19 23 25 27 29 31 33
(((((x div 2) mod ((2 + 2) + 1)) * x) mod 2) + 1)
A338274: 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1
(((((x * x) div ((2 + 2) + 1)) + x) div 2) + 1)
A249020: 1 1 2 3 4 6 7 9 11 13 16 18 21 24 27 31
((((((x * x) + (2 + 2)) + 1) * x) div 2) + 1)
A006001: 1 4 10 22 43 76 124 190 277 388 526 694 895 1132 1408 1726
((((((x * x) * (2 + 2)) + 1) * x) * 2) - 1)
A255877: ~1 9 67 221 519 1009 1739 2757 4111 5849 8019 10669 13847 17601 21979 27029
(((((((x * x) div 2) + 2) + 1) * x) div 2) + 1)
A005999: 1 2 6 11 23 38 64 95 141 194 266 347 451 566 708 863
((((((x div 2) + 1) mod (2 + 1)) + x) div 2) + 1)
A194272: 1 2 3 3 3 3 4 5 6 6 6 6 7 8 9 9
(x - (((((x div 2) mod (2 + 1)) - x) div 2) - 1))
A092253: 1 3 4 5 6 8 10 12
((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1)
A242678-A008761-A008760-A008759-A001399: 1 1 2 3 4 5 7 8 10 12 14 16 19 21 24 27
(((2 mod (2 - ((x div (2 + 1)) * x))) mod 2) - 1)
A142720: ~1 ~1 ~1 ~1 ~1 0 ~1 ~1 ~1 0 ~1 0 ~1 ~1 ~1 0
((((((x div 2) + (x * 2)) + 1) * x) div 2) + 1)
A237443: 1 2 7 13 23
(((((((2 + 2) + 1) * x) + 1) * x) div 2) + 1)
A116668: 1 4 12 25 43 66 94 127 165 208 256 309 367 430 498 571
(((((((2 + 2) + 1) * x) - 1) * x) div 2) + 1)
A188545: 1 3 10
A140066: 1 3 10 22 39 61 88 120 157 199 246 298 355 417 484 556
(((((((x * 2) + 1) * x) + 1) * x) div 2) + 1)
A081423: 1 3 12 34 75 141 238 372 549 775 1056 1398 1807 2289 2850 3496
((((x mod (((x div 2) * x) - 1)) + x) * 2) + 1)
A143106: 1 3 5 9 17 21
(((((x + 1) mod ((2 + 1) * 2)) + x) div 2) + 1)
A215092: 1 2 3 4 5 3 4 5 6 7 8 6 7 8 9 10
((((((x div 2) * (x + 1)) - 2) * x) div 2) + 1)
A105510: 1 0 2 4 17
(((x * x) div ((((2 + 2) * 2) + x) + 2)) + 1)
A113865: 1 1 1 1 2 2 3 3 4 5 6 6 7 8 9 10
(x - ((((x div ((2 + 2) * 2)) - x) div 2) - 1))
A225647: 1 3 4 6 7
A258048-A186227-A184746: 1 3 4 6 7 9 10 12 13 14 16 17 19 20 22 23
((((x div (((x div 2) + 2) + 2)) + x) * 2) + 1)
A324846-A324761-A324760-A265166-A244579-A151991-A084820: 1 3 5 7 9 11 13 17 19 21 23 25 27 29 31 33
(x - (((((2 - x) div (2 + 2)) - x) div 2) - 1))
A292663-A206805-A182774-A182772-A109259: 1 3 4 6 8 9 11 13 14 16 17 19 21 22 24 26
(((x * 2) - (((x div (2 + 2)) - x) div 2)) + 1)
A231407: 1 4 6
A190348: 1 4 6 9 11 13 16 18 20 23 25 28 30 32 35 37
((((((x + 2) * (x + 2)) * 2) - x) * 2) - 1)
A228318: 15 33 59 93 135 185 243 309 383 465 555 653 759 873 995 1125
(x - (((((2 - (x div 2)) div 2) - x) div 2) - 1))
A184732: 1 2 4 6 7 9 11 12 14 15 17 19 20 22 24 25
((((((x div 2) * (x div 2)) div 2) + x) div 2) + 1)
A008642: 1 1 2 2 4 4 6 6 9 9 12 12 16 16 20 20
(((((x * 2) div ((x div 2) + 2)) + x) div 2) + 1)
A259549: 1 2 2 3 4 4 5 5 6 7 7 8 8 9 9 10
((x * x) div (((x * 2) - ((2 - x) div 2)) - 1))
A226033-A054404: 0 1 1 1 2 2 2 3 3 3 4 4 5 5 5 6
(((((((2 + 2) + 1) * x) + 2) * x) * 2) + 1)
A272039: 1 15 49 103 177 271 385 519 673 847 1041 1255 1489 1743 2017 2311
(((((((x div 2) mod 2) + x) div 2) + x) * 2) + 1)
A276283: 1 3 7 11 13 15 19 23 25 27 31 35 37 39 43 47
(((((((x mod 2) * 2) + x) + 2) * x) div 2) + 1)
A266723: 1 3 5 11 13 23 25 39 41 59 61 83 85 111 113 143
((((((x * 2) * 2) div (x + 2)) + x) div 2) + 1)
A139338: 1 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10
((((x - ((2 - x) * (x * 2))) * x) * 2) + 1)
A141530: 1 ~1 9 55 161 351 649 1079 1665 2431 3401 4599 6049 7775 9801 12151
((((x div ((2 + 2) + 1)) + 1) * (x + 2)) - 1)
A138986: 1 2 3 4 5 13 15 17 19 21 35 38 41 44 47 67
(((((x div 2) div (2 + 1)) + 1) * (x + 2)) - 1)
A138987: 1 2 3 4 5 6 15 17 19 21 23 25 41 44 47 50
(((((x + 2) * (x + 1)) + 1) * (x + 2)) + 1)
A188377: 7 22 53 106 187 302 457 658 911 1222 1597 2042 2563 3166 3857 4642
((((x div ((2 + 2) * 2)) + 1) * (x + 2)) - 1)
A173577: 1 2 3 4 5 6 7 8 19
(((((x * x) + (2 + 2)) + 1) * (x + 2)) + 1)
A271779: 11 19 37 71 127 211 329 487 691 947 1261 1639 2087 2611 3217 3911
((((((2 + 2) + 1) * x) + 1) * (x + 2)) - 1)
A172044: 1 17 43 79 125 181 247 323 409 505 611 727 853 989 1135 1291
(x - ((((x div 2) * (x - 1)) div (x + 2)) - 1))
A340792-A112232: 1 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11
(((x div ((2 + 2) * (0 - 2))) mod (x + 2)) + 1)
A118716: 1 3 4 5 6 7 8 9 10 10 11 12 13 14 15 16
(x - (((1 mod (1 - (x * 2))) div (x + 2)) - 1))
A175431-A138836-A133398: 1 2 4 5 6 8 9 10 11 12 13 14 15 16 17 18
((((x mod (2 + 1)) * 2) - 1) mod ((x + 2) + 1))
A284429: 2 1 3 5 1 3 8 1 3 11 1 3 14 1 3 17
(((((x + 2) * 2) * 2) - 1) * ((x + 2) + 1))
A180863: 21 44 75 114 161 216 279 350 429 516 611 714 825 944 1071 1206
((((x + 2) * (x + 2)) - 1) * ((x + 2) + 1))
A027620: 9 32 75 144 245 384 567 800 1089 1440 1859 2352 2925 3584 4335 5184
(((2 - (x mod 2)) * (x + 1)) * ((x + 2) + 1))
A039720: 6 8 30 24 70 48 126 80 198 120 286 168 390 224 510 288
((((x - 2) * (x - 1)) div 2) div ((x + 2) + 1))
A257481: 0 0 0 0 0 0 1 1 1 2 2 3 3 4
(x - (((x * x) div (2 + 2)) div ((x + 2) + 1)))
A123731: 0 1 2 3 4 5 5 6 7 8 9 9 10 11 12 12
(((((x mod 2) + x) + 2) * 2) * ((x + 2) + 1))
A242371: 12 32 40 72 84 128 144 200 220 288 312 392 420 512 544 648
((x + 2) - (((1 - x) * 2) div ((x + 2) + 1)))
A028729: 2 3 5 6 7 8 10 11 12 13 14 15
A171519: 2 3 5 6 7 8 10 11 12 13 14 15 16 17 18 19
(x - ((((x + 1) div 2) * x) div ((x + 2) + 1)))
A339187: 0 1 2 2 3 4 4 5 6 6 7 7 8 8 9 9
(((x + 1) * 2) - ((x * x) div ((x + 2) + 1)))
A147613: 2 4 6 7 8 9 10 12 13 14 15 16 17 18 19 20
((x * x) - (((x * x) * x) div ((x + 2) + 1)))
A335408: 0 1 3 5 7 10 12 15 18 21
((((((x + 1) * 2) + 1) * x) * (x + 2)) + 1)
A187277: 1 16 57 136 265 456 721 1072 1521 2080 2761 3576 4537 5656 6945 8416
(((((x div 2) * (x + 1)) + x) * (x + 2)) + 1)
A204557: 1 4 21 36 85 120 217 280 441 540 781 924 1261 1456 1905 2160
((((((x mod 2) + 2) + 2) * x) div (x + 2)) + 1)
A108414: 1 2 3 4 3 4 4 4 4 5 4 5 4 5 4 5
(((2 - (1 mod (2 - (x * x)))) * (x + 2)) + 1)
A062605: 3 7 13 41
(x - ((((1 - x) div (2 + 1)) * (x - 2)) - 1))
A309370: 1 2 3 5 7 12 15
(((x div (((2 + 1) * 2) + 1)) + (x * 2)) + 1)
A184591: 1 3 5 7 9 11 13 16 18 20 22 24 26 28 31 33
(((x mod ((x div (2 + 2)) + 1)) + (x * 2)) + 1)
A131628: 1 3 5 7 9 12 13
(((2 div ((x mod (2 + 2)) + 1)) + (x * 2)) + 1)
A047499: 3 4 5 7 11 12 13 15 19 20 21 23 27 28 29 31
((((x + 2) * 2) - (2 mod (1 - (x * 2)))) + 1)
A190035: 5 7 10 14 18 22 26 30 34 38 42 46 50 54 58 62
(((((x div 2) - 1) * (x div 2)) + (x * 2)) + 1)
A264754: 1 3 5 7 11 13 19 21 29 31 41 43 55 57 71 73
(x - ((x * x) div (((x div 2) + (x * 2)) - 1)))
A079952: 0 0 1 2 3 3 4 4 5 6 6 7 8 8 9 9
((((2 + 2) * (x + 1)) + 1) * ((x * 2) + 1))
A181890: 5 27 65 119 189 275 377 495 629 779 945 1127 1325 1539 1769 2015
((((x * 2) * (x + 1)) + 1) * ((x * 2) + 1))
A005917: 1 15 65 175 369 671 1105 1695 2465 3439 4641 6095 7825 9855 12209 14911
(((((x + 2) + 2) * 2) + 1) * ((x * 2) + 1))
A145923: 9 33 65 105 153 209 273 345 425 513 609 713 825 945 1073 1209
(((((x * 2) * 2) * 2) + 1) * ((x * 2) + 1))
A028993: 1 27 85 175 297 451 637 855 1105 1387 1701 2047 2425 2835 3277 3751
(((((x + 1) * x) div 2) + 1) * ((x * 2) + 1))
A063488: 1 6 20 49 99 176 286 435 629 874 1176 1541 1975 2484 3074 3751
(((((2 + 2) + 1) * x) + 1) * ((x * 2) + 1))
A033571: 1 18 55 112 189 286 403 540 697 874 1071 1288 1525 1782 2059 2356
((((x * 2) + 1) * (x + 1)) * ((x * 2) + 1))
A139757: 1 18 75 196 405 726 1183 1800 2601 3610 4851 6348 8125 10206 12615 15376
((((x * x) div 2) * (x + 1)) div ((x * 2) + 1))
A194250: 0 0 1 2 4 6 9 12 16 21 26 31 37 43 50 57
((((x + 2) * (x + 1)) div 2) * ((x * 2) + 1))
A002414: 1 9 30 70 135 231 364 540 765 1045 1386 1794 2275 2835 3480 4216
(((((x * 2) + 1) * 2) * 2) * ((x * 2) + 1))
A016826: 4 36 100 196 324 484 676 900 1156 1444 1764 2116 2500 2916 3364 3844
((x div (1 - ((2 + 2) * 2))) mod ((x * 2) + 1))
A228295-A195125: 0 2 4 6 8 10 12 14 15 17 19 21 23 25 27 28
(x - (1 - (((2 + 2) * 2) * ((x * 2) + 1))))
A154612: 7 24 41 58 75 92 109 126 143 160 177 194 211 228 245 262
(((((x + 1) * x) div 2) + 2) * ((x * 2) + 1))
A173965: 2 9 25 56 108 187 299 450 646 893 1197 1564 2000 2511 3103 3782
(1 - (x - (((x * 2) * 2) * ((x * 2) + 1))))
A236267: 1 12 39 82 141 216 307 414 537 676 831 1002 1189 1392 1611 1846
(((((x div 2) mod 2) - x) div 2) mod ((x * 2) + 1))
A227187: 0 2 4 6 7 8 10 12 13 14 16 18 19 20 22 24
(((((2 + 2) + 1) * x) - 1) * ((x * 2) - 1))
A158186: 1 4 27 70 133 216 319 442 585 748 931 1134 1357 1600 1863 2146
(((((x * x) + 2) * x) div 2) div ((x * 2) - 1))
A194205: 0 1 2 3 5 7 10 13 17 21 26 32 38 44 51 58
(x - ((x * 2) mod (((2 - x) * (x * 2)) - 1)))
A224886: 0 1 2 4 13
((x div (((2 + 2) * (2 + 1)) - (x div 2))) + 1)
A091946: 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 4
(x - ((((1 - x) div (2 + 1)) * (x div 2)) - 1))
A123120: 1 2 4 5 7 10 13
(((((x mod (2 + 1)) + x) div 2) + (x div 2)) + 1)
A274631-A131042: 1 2 4 3 5 6 7 8 10 9 11 12 13 14 16 15
(x - ((((x div 2) - (x * 2)) * (x div 2)) - 1))
A257083: 1 2 6 9 17 22 34 41 57 66 86 97 121 134 162 177
((((2 + 2) * (2 + 1)) + 1) * ((x div 2) + 1))
A166545: 13 13 26 26 39 39 52 52 65 65 78 78 91 91 104 104
(((x div 2) div ((0 - 2) - 1)) mod ((x div 2) + 1))
A329242-A033270: 0 0 1 1 2 2 3 3 3 3 4 4 5 5 5 5
((x - ((x div (0 - 2)) - 1)) * ((x div 2) + 1))
A014255: 1 3 8 12 21 27 40 48 65 75 96 108 133 147 176 192
((((x + 2) * (x + 1)) div 2) * ((x div 2) + 1))
A212760: 1 3 12 20 45 63 112 144 225 275 396 468 637 735 960 1088
((((x mod 2) * 2) + x) * (2 div ((x div 2) + 1)))
A021020: 0 6 2 5 0 0 0 0 0 0 0 0 0 0 0 0
((x div 2) - (((0 - x) * 2) div ((x div 2) + 1)))
A216522-A086419: 0 2 3 4 5 6 6 7 8 8 9 9 10 10 11 11
(((x div ((2 + 2) + 1)) + x) div ((x div 2) + 1))
A084359: 0 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2
(((x + 2) + 2) - ((1 - x) div ((x div 2) + 1)))
A336867: 3 5 7 8 9 11 12 13 14 15 16 17 18 19 20 21
((((2 + 1) mod (x + 1)) + x) + ((x div 2) + 1))
A152520: 1 3 4 8 10 11
((((x div (2 + 1)) mod 2) + x) + ((x div 2) + 1))
A263800: 1 2 4 6 8 9 10
(((x div ((2 + 2) * 2)) + x) div ((x div 2) + 1))
A309025: 0 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2
((((x div (2 + 2)) mod 2) + x) + ((x div 2) + 1))
A286031: 1 2 4 5 8 9 11 12 13 14 16 17 20 21 23 24
(((((x mod 2) * 2) * 2) + x) + ((x div 2) + 1))
A177898-A168198: 1 6 4 9 7 12 10 15 13 18 16 21 19 24 22 27
(((x div 2) - ((x mod 2) * x)) * ((x div 2) + 1))
A083392: 0 ~1 2 ~4 6 ~9 12 ~16 20 ~25 30 ~36 42 ~49 56 ~64
((((2 + 2) + 1) * x) + (x mod ((x div 2) + 1)))
A178181: 0 5 10 16 21 27 32 38 43 49 54
(((((x mod 2) * x) + 2) * x) - ((x div 2) - 1))
A174406: 1 4 4 15
((((x mod (2 + 1)) * (2 + 1)) + (x mod 2)) + 1)
A153110: 1 5 7 2 4 8 1 5 7 2 4 8 1 5 7 2
(((x + 2) * 2) - (x mod ((2 - (x mod 2)) + 1)))
A334457: 4 5 6 9 11 13 16
(((x mod ((0 - 2) - 1)) + 1) * ((x mod 2) + 1))
A112300: 1 ~2 0 2 ~1 0 1 ~2 0 2 ~1 0 1 ~2 0 2
((((x * x) + 1) * (x + 1)) div ((x mod 2) + 1))
A281660: 1 2 15 20 85 78 259 200 585 410 1111 732 1885 1190 2955 1808
(x div (1 - ((x div (0 - 2)) div ((x mod 2) + 1))))
A338731: 0 0 1 1 1 1 1 2 1 2 1 2 1 2 1 3
((x mod (((2 + 2) + 1) * 2)) div ((x mod 2) + 1))
A107130: 0 0 2 1 4 2 6 3 8 4 0 0 2 1 4 2
((((x div 2) + 1) * (x div 2)) div ((x mod 2) + 1))
A131174: 0 0 2 1 6 3 12 6 20 10 30 15 42 21 56 28
(((x * 2) - (2 mod ((1 - x) - (x mod 2)))) + 1)
A097911: 1 3 5 8
A005004: 1 3 5 8 10 14 16 20 22 26 28 32 34 38 40 44
((((x * x) * 2) - (((2 - x) * x) div 2)) + 1)
A128127: 1 3 9 21 37 59
(((((x + 1) * x) + 1) * ((x * x) + 2)) - 1)
A304160: 1 8 41 142 377 836 1633 2906 4817 7552 11321 16358 22921 31292 41777 54706
(1 - (((2 - x) * x) div (((x * x) div 2) + 1)))
A140474: 1 0 1 2 2 3 3 3 3 3 3 3 3 3 3 3
(((x * x) div (2 + 2)) * (((x * x) div 2) - 1))
A227970: 0 0 1 6 28 66 153 276 496 780 1225 1770 2556 3486 4753 6216
((((x mod 2) - (x div 2)) div 2) * ((0 - x) - 1))
A308123: 0 0 3 0 5 6 14 8 18 20 33 24 39 42 60 48
(x - ((((x div 2) + x) * 2) div ((0 - x) - 1)))
A274333: 0 2 4 5 7 8 9 10 11 12 13 14 15 16 17 18
((((((x * 2) * 2) * (2 + 1)) + 1) * x) + 1)
A244804: 1 14 51 112 197 306 439 596 777 982 1211 1464 1741 2042 2367 2716
((((((2 + 2) * 2) * (x + 1)) - 1) * x) + 1)
A194268: 1 16 47 94 157 236 331 442 569 712 871 1046 1237 1444 1667 1906
((((x + 2) div (((2 + 1) * 2) + 1)) + x) + 1)
A023055: 1 2 3 4 5 7 8 9 10 11 12 13 15 16 17 18
((((x * 2) div (((2 + 1) * 2) + 1)) + x) + 1)
A039081: 1 2 3 4 6 7 8 10 11 12 13 15 16 17 19 20
(compr(\x.((x mod ((x mod (2 + 1)) + 2)) - 1),x) + 1)
A039212: 1 2 4 5 6 7 8 9 10 11 13 14 16 17 18 19
(((((((x * 2) * 2) * 2) * 2) + 1) * x) + 1)
A143859: 1 18 67 148 261 406 583 792 1033 1306 1611 1948 2317 2718 3151 3616
(((((((x * 2) * 2) * 2) * 2) - 1) * x) + 1)
A143860: 1 16 63 142 253 396 571 778 1017 1288 1591 1926 2293 2692 3123 3586
(x div ((((x mod ((2 + 2) * 2)) + 1) * x) - 1))
A318584: 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
((((x div (2 + 1)) * ((2 + 2) + 1)) + x) + 1)
A047475: 1 2 3 9 10 11 17 18 19 25 26 27 33 34 35 41
(((((2 + 2) * 2) * ((2 + 2) + 1)) - x) - 1)
A022995: 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24
(((((x * x) * 2) div ((2 + 2) + 1)) + x) + 1)
A025718-A022783: 1 2 4 7 11 16 21 27 34 42 51 60 70 81 93 106
(((((x + 2) * x) div ((2 + 2) + 1)) + x) + 1)
A183873: 1 2 4 7 9 13 16 20 25 29 35 40 46 53 59 67
((((x * 2) div (((x div 2) + 2) + 1)) + x) + 1)
A059921: 1 2 4 5 6 8 9 10 11 12 13 14 15 16 17 19
((((x div ((2 + 2) + 1)) * (2 + 1)) + x) + 1)
A194398-A047603: 1 2 3 4 5 9 10 11 12 13 17 18 19 20 21 25
(((((x div 2) * (2 + 1)) * (2 + 1)) + x) + 1)
A143795: 1 2 12 13 23 24 34 35 45 46 56 57 67 68 78 79
(((((x div (2 + 1)) * 2) div (2 + 1)) + x) + 1)
A039162: 1 2 3 4 5 6 8 9 10 12 13 14 15 16 17 19
((((((x * 2) + 1) * 2) * (2 + 1)) + x) + 1)
A269044: 7 20 33 46 59 72 85 98 111 124 137 150 163 176 189 202
(((((x div (2 + 2)) * 2) * (2 + 1)) + x) + 1)
A084544: 1 2 3 4 11 12 13 14 21 22 23 24 31 32 33 34
((((x * x) div ((2 + 2) * (2 + 1))) + x) + 1)
A113769: 1 2 3 4 6 8 10 12 14 16 19 22 25 28 31 34
((((x mod ((x div 2) + 2)) div (2 + 1)) + x) + 1)
A332110-A188301: 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 18
(((((x * x) + (x div 2)) div (2 + 1)) + x) + 1)
A078617: 1 2 4 7 11 15 20 25 31 38 46 54 63 72 82 93
((((x + 2) * x) + 1) * (((2 + 1) * x) + 1))
A100176: 1 16 63 160 325 576 931 1408 2025 2800 3751 4896 6253 7840 9675 11776
((((2 + 1) * x) + 2) * (((2 + 1) * x) + 1))
A001504: 2 20 56 110 182 272 380 506 650 812 992 1190 1406 1640 1892 2162
((((x + 2) * 2) + x) * (((2 + 1) * x) + 1))
A085024-A085001: 4 28 70 130 208 304 418 550 700 868 1054 1258 1480 1720 1978 2254
(((((x div (2 + 2)) + x) div (2 + 1)) + x) + 1)
A184622-A184580: 1 2 3 5 6 8 9 10 12 13 15 16 18 19 20 22
(1 - ((x * x) mod (((x * x) * (1 - x)) + 1)))
A039749: 1 1 3 9 32
(((((((2 + 1) * x) + 2) * x) + 1) * x) + 1)
A130884: 1 7 35 103 229 431 727 1135 1673 2359 3211 4247 5485 6943 8639 10591
((((x mod ((0 - 2) - 1)) mod (x + 1)) + x) + 1)
A080031: 1 2 5 4 8 11 7 14 17 10 20 23 13 26 29 16
(((((2 + 2) * 2) * 2) + ((x + 1) * x)) + 1)
A007635: 17 19 23 29 37 47 59 73 89 107 127 149 173 199 227 257
((((x * x) * x) - 1) * (((x - 1) * x) + 1))
A062159: ~1 0 21 182 819 2604 6665 14706 29127 53144 90909 147630 229691 344772 501969 711914
((((x div (((2 + 1) * 2) + 1)) * 2) + x) + 1)
A031492: 1 2 3 4 5 6 7 10 11 12 13 14 15 16 19 20
(((((x + 1) div ((2 + 2) + 1)) * 2) + x) + 1)
A285405: 1 2 3 4 7 8 9 10 11 14 15 16 17 18 21 22
(x div (((x mod (((2 + 2) + 1) * 2)) + x) - 1))
A030564: 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0
(compr(\x.((x div (((x mod 2) - 2) - 1)) mod 2),x) + 1)
A005556: 1 4 5 7 8 11
A228919: 1 4 5 7 8 11 12 13 16 17 19 20 23 24 25 28
((((((x div 2) + 1) * (2 + 1)) div 2) + x) + 1)
A191215: 2 3 6 7 9 10 13 14 16 17 20 21 23 24 27 28
((((((x + 1) div 2) div (2 + 1)) * 2) + x) + 1)
A080401: 1 2 3 4 5 8 9 10 11 12 13 16 17 18 19 20
(1 mod ((((x + 1) mod ((2 + 1) * 2)) * x) - 1))
A086597: 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1
(((x div ((2 mod ((x div 2) + 1)) + 2)) + x) + 1)
A247419: 1 2 4 5 6 7 8 9 11 12 13 14 16 17 18 19
((((((x div 2) div (2 + 1)) * 2) * 2) + x) + 1)
A057436: 1 2 3 4 5 6 11 12 13 14 15 16 21 22 23 24
(((((x mod ((x div 2) + 1)) div 2) * 2) + x) + 1)
A276878: 1 2 3 4 5 8 9 10 11 14 15 16 17 20 21 22
((((((x + 2) * (x + 1)) div 2) + 2) * x) + 1)
A132127: 1 6 17 37 69 116 181 267 377 514 681 881 1117 1392 1709 2071
((((((x div 2) * (x - 1)) div 2) * 2) + x) + 1)
A337172: 1 2 3 6 11 14
((((x - (x div ((0 - 2) - 2))) div 2) + x) + 1)
A225647: 1 3 4 6 7
A247425: 1 3 4 6 7 9 11 12 14 16 17 19 20 22 24 25
(((((((2 + 2) * 2) * 2) * 2) * 2) + x) + 1)
A130764: 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
((x div 2) div (((((2 + 2) * 2) * 2) - x) + 1))
A034407: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3
((((x - (x div ((2 + 2) * 2))) div 2) + x) + 1)
A307513-A186515-A059539: 1 2 4 5 7 8 10 11 12 14 15 17 18 20 21 23
(((((x * x) div ((2 + 2) * 2)) * 2) + x) + 1)
A302488: 1 2 3 6 9 12 15 20 25 30 35 42 49 56 63 72
(((((x - (x div (2 + 2))) div 2) * 2) + x) + 1)
A286751: 1 2 5 6 7 10 11 14 15 16 19 20 21 24 25 28
(x - ((x * x) div ((((2 + 2) * 2) + x) + 1)))
A061420: 0 1 2 3 3 4 4 4 5 5 5 5 6 6 6 6
(((((x + 2) * x) div ((2 + 2) * 2)) + x) + 1)
A191535-A100598: 1 2 4 5 8 10
A186349: 1 2 4 5 8 10 13 15 19 22 26 29 34 38 43 47
(((((x mod 2) + x) * ((2 + 2) * 2)) + x) + 1)
A118510: 1 18 19 36 37 54 55 72 73
(x - (2 mod (((x div ((2 + 2) * 2)) - x) - 1)))
A172277: 0 1 3 5 7 9 11 13 14 16 18 20 22 24 26 28
(x - (x mod (((x mod ((2 + 2) * 2)) - x) - 1)))
A084689: 0 1 2 3 4 5 6 7 9
A265570: 0 1 2 3 4 5 6 7 9 9 18 18 18 18 18 18
(((x div (((2 - x) div (2 + 2)) - 2)) + x) + 1)
A247983: 1 1 2 3 3 4 5 6 7 7 8 9 10 11 12 13
((((x - ((2 - x) div (2 + 2))) div 2) + x) + 1)
A247910-A184658-A026273: 1 2 4 6 7 9 10 12 14 15 17 19 20 22 23 25
((((((x div 2) + x) div (2 + 2)) * 2) + x) + 1)
A276887: 1 2 3 6 7 8 11 12 15 16 17 20 21 22 25 26
((((x * 2) div (((x div 2) + 2) + 2)) + x) + 1)
A213367-A175084-A072099: 1 2 3 5 6 7 8 10 11 12 13 14 15 16 17 18
((((((x * x) + 1) * x) div (2 + 2)) + x) + 1)
A292528: 1 2 5 11 22
(compr(\x.(x mod ((((x div 2) * x) mod 2) + 2)),x) + 1)
A128201: 1 3 4 5 7 9 11 13 15 16 17 19 21 23 25 27
((((((x + 2) + 2) * (x + 2)) - 2) * x) + 1)
A090197: 1 14 45 100 185 306 469 680 945 1270 1661 2124 2665 3290 4005 4816
((((((x div 2) + 1) * (x div 2)) div 2) + x) + 1)
A101881: 1 2 4 5 8 9 13 14 19 20 26 27 34 35 43 44
((((((x * x) - 1) * (x div 2)) div 2) + x) + 1)
A222011: 1 2 4 8
A014225: 1 2 4 8 20
((((((x - 1) div 2) * (x div 2)) div 2) + x) + 1)
A328325-A005705-A001972: 1 2 3 4 6 8 10 12 15 18 21 24 28 32 36 40
(((x + 2) * 2) div ((((x mod 2) + 2) * x) + 1))
A110916: 4 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0
(((((x div ((2 + 2) + 1)) + x) * 2) + x) + 1)
A276874: 1 4 7 10 13 18 21 24 27 30 35 38 41 44 47 52
((((((x div 2) div (2 + 1)) + x) div 2) + x) + 1)
A020914: 1 2 4 5 7 8 10 12 13 15 16 18 20 21 23 24
((((x * x) div (((2 + 1) * x) - 2)) + x) + 1)
A285659: 1 3 4 5 6 7 9 10 11 13 14 15 17 18 19 21
((((((x * x) div (2 + 1)) + x) div 2) + x) + 1)
A186357: 1 2 4 7 9 12 16 19 23 28 32 37 43 48 54 61
((((((x mod (2 + 1)) div 2) + x) * 2) + x) + 1)
A028837: 1 4 9 10 13 18 19 22 27 28 31 36 37 40 45 46
(((((x div ((2 + 2) * 2)) + x) div 2) + x) + 1)
A226896: 1 2 4 5 7 8 10 11 13 15 16 18 19 21 22 24
(((x + 2) * (x + 1)) * (((x + 2) * x) + 1))
A179824: 2 24 108 320 750 1512 2744 4608 7290 11000 15972 22464 30758 41160 54000 69632
(((x * x) * (x + 1)) * (((x + 2) * x) + 1))
A099762: 0 8 108 576 2000 5400 12348 25088 46656 81000 133100 209088 316368 463736 661500 921600
((((x * x) + 1) div 2) * (((x + 2) * x) + 1))
A177755: 0 4 18 80 200 468 882 1600 2592 4100 6050 8784 12168 16660 22050 28928
(((x * x) * (2 + 2)) * (((x + 2) * x) + 1))
A060300: 0 16 144 576 1600 3600 7056 12544 20736 32400 48400 69696 97344 132496 176400 230400
((1 - ((x mod 2) * 2)) * (((x + 2) * x) + 1))
A162395: 1 ~4 9 ~16 25 ~36 49 ~64 81 ~100 121 ~144 169 ~196 225 ~256
((((x + 1) * x) div 2) * (((x + 2) * x) + 1))
A092364: 0 4 27 96 250 540 1029 1792 2916 4500 6655 9504 13182 17836 23625 30720
((((x - 2) * x) - 1) * (((x + 2) * x) - 1))
A272870: 1 ~4 ~7 28 161 476 1081 2108 3713 6076 9401 13916 19873 27548 37241 49276
((((x - 1) * x) div 2) * (((x - 2) * x) + 1))
A019582: 0 0 1 12 54 160 375 756 1372 2304 3645 5500 7986 11232 15379 20580
(((2 div (((2 + 2) * 2) - (x div 2))) + x) + 1)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A246450: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 17 18
(((((x div 2) + x) + 2) * ((x div 2) + x)) + 1)
A135556: 1 4 16 25 49 64 100 121 169 196 256 289 361 400 484 529
(((((x div 2) + x) + 1) * ((x mod 2) + x)) + 1)
A319384: 1 5 9 21 29 49 61 89 105 141 161 205 229 281 309 369
(((x * 2) * 2) - (1 div (((x mod 2) + x) - 1)))
A336705: 1 3 7 12 16 20 24 28 32 36 40 44 48 52 56 60
(((x mod (((2 + 2) * 2) + 1)) + 1) * (x + 1))
A213630: 1 4 9 16 25 36 49 64 81 10 22 36 52 70 90 112
(((((2 + 1) * 2) * (2 + 1)) + 1) div (x + 1))
A033339: 19 9 6 4 3 3 2 2 2 1 1 1 1 1 1 1
(((((2 + 2) * 2) * (2 + 1)) + 1) div (x + 1))
A033345: 25 12 8 6 5 4 3 3 2 2 2 2 1 1 1 1
(((((2 + 2) * 2) * (2 + 1)) - 1) div (x + 1))
A033343: 23 11 7 5 4 3 3 2 2 2 2 1 1 1 1 1
(((((x + 1) * x) * (2 + 1)) + 1) * (x + 1))
A005915: 1 14 57 148 305 546 889 1352 1953 2710 3641 4764 6097 7658 9465 11536
(((x + 2) div ((x div (2 + 1)) + 1)) mod (x + 1))
A131294: 0 1 1 2 3 3 2 3 3 2 3 3 2 3 3 2
((x - (((x * x) div (0 - 2)) - 1)) * (x + 1))
A074149: 1 6 15 36 65 114 175 264 369 510 671 876 1105 1386 1695 2064
((((2 - x) mod ((2 + 1) * 2)) + 1) div (x + 1))
A307753: 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0
((((((2 + 2) + 1) * 2) * 2) + 1) div (x + 1))
A033341: 21 10 7 5 4 3 3 2 2 2 1 1 1 1 1 1
((((((2 + 2) * 2) * 2) * 2) + 1) div (x + 1))
A033353: 33 16 11 8 6 5 4 4 3 3 3 2 2 2 2 2
((((((2 + 2) * 2) * 2) * 2) - 1) div (x + 1))
A033351: 31 15 10 7 6 5 4 3 3 3 2 2 2 2 2 1
((((((x + 2) * 2) * 2) * 2) + 1) * (x + 1))
A005570: 17 50 99 164 245 342 455 584 729 890 1067 1260 1469 1694 1935 2192
((((2 + 1) * 2) * ((2 + 2) + 1)) div (x + 1))
A033350: 30 15 10 7 6 5 4 3 3 3 2 2 2 2 2 1
((((2 + 2) * 2) * ((2 + 2) + 1)) div (x + 1))
A033360: 40 20 13 10 8 6 5 5 4 4 3 3 3 2 2 2
(((((x - 1) * x) div (2 + 2)) - 1) mod (x + 1))
A194765: 0 1 2 0 2 4 6 1 4 7 10 2 6 10 14 3
(((((x + 2) * (x + 2)) div 2) - 1) * (x + 1))
A180857: 1 6 21 44 85 138 217 312 441 590 781 996 1261 1554 1905 2288
(((x * 2) mod (((x + 2) + 2) + 1)) mod (x + 1))
A212598: 0 0 1 2 3 0 1 2 3 4 5 6 7 8 9 10
(((x * 2) div (((x mod 2) - 2) - 1)) mod (x + 1))
A082460: 0 1 1 1 2 1 3 1 3 1 4 1 5 1 5 1
(((((2 + 2) * 2) + 1) * (2 + 1)) div (x + 1))
A033347: 27 13 9 6 5 4 3 3 3 2 2 2 2 1 1 1
((((2 + 2) * (2 + 1)) * (2 + 1)) div (x + 1))
A033356: 36 18 12 9 7 6 5 4 4 3 3 3 2 2 2 2
(((((2 + 2) * 2) * 2) * (2 + 1)) div (x + 1))
A033368: 48 24 16 12 9 8 6 6 5 4 4 4 3 3 3 3
((1 - (x - ((2 + 2) * (2 + 1)))) * (x + 1))
A136316: 13 24 33 40 45 48 49 48 45 40 33 24 13 0 ~15 ~32
compr(\x.(((x div (2 + 1)) * x) mod (2 + 1)),(x + 1))
A344208: 1 2 3 6 9 10 11 12 15 18 19 20 21 24 27 28
((((((x * 2) + 1) * x) * 2) + 1) * (x + 1))
A050492: 1 14 63 172 365 666 1099 1688 2457 3430 4631 6084 7813 9842 12195 14896
((((((x * x) + 1) * x) div 2) + 1) * (x + 1))
A100177: 1 4 18 64 175 396 784 1408 2349 3700 5566 8064 11323 15484 20700 27136
(((((x * x) * x) div (x + 2)) + 1) * (x + 1))
A274543: 1 2 9 24 55
((((x * x) div 2) * ((x div 2) + 1)) mod (x + 1))
A226782: 0 0 1 0 4 0 2 0 7 0 3 0 10 0 4 0
((((x div ((2 + 2) + 1)) + x) + 1) * (x + 1))
A108612: 1 4 9 16 25 42 56 72 90 110 143 168 195 224 255 304
((((((x * 2) * 2) + 1) * x) + 1) * (x + 1))
A204674: 1 12 57 160 345 636 1057 1632 2385 3340 4521 5952 7657 9660 11985 14656
(((((x - 1) div (2 + 1)) * x) + 1) div (x + 1))
A247049: 1 0 0 0 1 1 1 1 1 1 2 2 2 3 3 3
(((((x * x) div (2 + 1)) + x) + 1) * (x + 1))
A192736: 1 4 12 28 50 84 133 192 270 370 484 624 793 980 1200 1456
(2 - ((((x mod (2 + 2)) - x) - 1) * (x + 1)))
A083400: 3 4 5 6 27
(((((x * x) div (2 + 2)) + x) + 1) * (x + 1))
A128624: 1 4 12 24 45 72 112 160 225 300 396 504 637 784 960 1152
((((((x * x) + 2) * x) * x) + 1) * (x + 1))
A288487: 1 8 75 400 1445 4056 9583 20000 38025 67240 112211 178608 273325 404600 582135 817216
(((((2 + 2) * (2 + 1)) + 1) * 2) div (x + 1))
A033346: 26 13 8 6 5 4 3 3 2 2 2 2 2 1 1 1
(((((2 + 2) * (2 + 1)) - 1) * 2) div (x + 1))
A033342: 22 11 7 5 4 3 3 2 2 2 2 1 1 1 1 1
((((((2 + 2) * 2) * 2) + 1) * 2) div (x + 1))
A033354: 34 17 11 8 6 5 4 4 3 3 3 2 2 2 2 2
(((((x + 2) * (x + 2)) - 1) div 2) * (x + 1))
A138179: 1 8 21 48 85 144 217 320 441 600 781 1008 1261 1568 1905 2304
(((x + 1) mod (((x mod 2) + 1) * 2)) * (x + 1))
A251610: 1 4 3 0 5 12 7 0 9 20 11 0 13 28 15 0
((((((1 - x) * x) div 2) + 1) div 2) mod (x + 1))
A194763: 0 0 0 3 2 1 0 6 4 2 0 9 6 3 0 12
(((((x div (2 + 2)) + x) + 1) div 2) * (x + 1))
A293688: 0 2 3 8 15 18 28 32 45 60 66 84 104 112 135 144
(((((x mod 2) + 1) mod (x + 1)) + 2) * (x + 1))
A014290: 2 4 9 16 15
(((((x + 2) * x) * (x + 1)) div 2) * (x + 1))
A083374: 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640
((((((2 + 1) * 2) + 1) * 2) * 2) div (x + 1))
A033348: 28 14 9 7 5 4 4 3 3 2 2 2 2 2 1 1
((((((x div 2) + 1) div 2) div 2) + 2) mod (x + 1))
A345376: 0 0 2 2 2 2 3 3 3 3 3 3 3 3 4 4
((((((2 + 2) * 2) * 2) * 2) * 2) * (x + 1))
A044187: 64 128 192 256 320 384 448 512 576 640 704 768 832 896 960 1024
((((((2 + 2) * 2) * 2) * 2) * 2) div (x + 1))
A033384: 64 32 21 16 12 10 9 8 7 6 5 5 4 4 4 4
((((((x + 2) + 2) + 2) * 2) * 2) * (x + 1))
A277108: 24 56 96 144 200 264 336 416 504 600 704 816 936 1064 1200 1344
((((x - 2) mod ((2 + 2) * 2)) + 2) mod (x + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A322001-A273005-A244158-A093017-A081594-A028897: 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7
((((x - ((x div 2) mod 2)) div 2) + 2) mod (x + 1))
A173073: 0 0 2 3 4 4 4 5 6 6 6 7 8 8 8 9
(((((x + 2) * x) + (2 + 2)) * 2) * (x + 1))
A153976: 8 28 72 152 280 468 728 1072 1512 2060 2728 3528 4472 5572 6840 8288
((((x * 2) mod ((x div 2) + 2)) mod 2) * (x + 1))
A308229: 0 0 3 0 0 0 0 0 0 0 0 12 0 0 15 16
(x mod (((((x * x) div 2) + 2) + 2) div (x + 1)))
A175835: 0 1 0 1 0 1 0 1 0 1 2 1 2 1 2 1
((((x div 2) + 1) div 2) + ((2 + 2) * (x + 1)))
A299641: 4 8 13 17 21 25 30 34 38 42 47 51 55 59 64 68
((((x div 2) - 1) div 2) + ((2 + 2) * (x + 1)))
A299638: 3 7 12 16 20 24 29 33 37 41 46 50 54 58 63 67
((x div ((2 + 2) * 2)) + ((2 + 2) * (x + 1)))
A171984: 4 8 12 16 20 24 28 32 37 41 45 49 53 57 61 65
(((((2 - x) + 1) * x) div (2 + 2)) mod (x + 1))
A194743: 0 0 0 0 4 3 2 1 8 6 4 2 12 9 6 3
(2 - ((2 - ((x * x) div (2 + 2))) div (x + 1)))
A103298: 0 1 2 2 3 3 3 4 4 4 5 5 5 5 6 6
compr(\x.(x mod ((((x div 2) * x) mod 2) + 2)),(x + 1))
A336367: 2 3 4 6 8 10 12 14 15 16 18 20 22 24 26 27
((((2 + 2) * 2) mod ((x + 2) + 2)) div (x + 1))
A258825: 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0
(2 - ((x mod 2) - (((x + 2) * 2) * (x + 1))))
A343007: 6 13 26 41 62 85 114 145 182 221 266 313 366 421 482 545
(1 - (2 mod (2 - (((x * 2) * 2) * (x + 1)))))
A265056: 1 5 21 45 77 117 165 221 285 357 437 525 621 725 837 957
(((((x div (2 + 2)) mod 2) - x) div 2) mod (x + 1))
A089575: 0 1 2 2 3 4 4 5 5 5 6 6 7 8 8 9
(((x * x) mod (x - ((2 - x) div 2))) div (x + 1))
A175861: 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0
(x - ((x - ((x + 2) * (x + 2))) * (x + 1)))
A166781: 4 17 44 91 164 269 412 599 836 1129 1484 1907 2404 2981 3644 4399
((((x * x) - (x div 2)) mod (x + 2)) div (x + 1))
A031250: 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0
(((x * x) div (2 + 2)) + ((x + 2) * (x + 1)))
A226292: 2 6 13 22 34 48 65 84 106 130 157 186 218 252 289 328
((1 - ((2 + 2) mod (1 - (x * 2)))) div (x + 1))
A267587: 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1
((((x - 1) * x) div 2) + ((x * 2) * (x + 1)))
A147875: 0 4 13 27 46 70 99 133 172 216 265 319 378 442 511 585
(((((2 + 2) * (2 + 1)) + 1) * x) * (x + 1))
A173307: 0 26 78 156 260 390 546 728 936 1170 1430 1716 2028 2366 2730 3120
(((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1))
A164136: 0 22 66 132 220 330 462 616 792 990 1210 1452 1716 2002 2310 2640
(2 - ((((x div (0 - 2)) - 1) * x) * (x + 1)))
A071636: 2 6 14 38 62
((((((2 + 2) * 2) * 2) + 1) * x) * (x + 1))
A173308: 0 34 102 204 340 510 714 952 1224 1530 1870 2244 2652 3094 3570 4080
(((((2 + 2) * 2) * (x + 1)) + x) * (x + 1))
A154516: 8 34 78 140 220 318 434 568 720 890 1078 1284 1508 1750 2010 2288
((2 div ((((2 + 2) * 2) * 2) - x)) + (x + 1))
A290748-A246085-A246078-A246075-A033066-A032964: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 18
((((x mod ((2 + 2) * 2)) + 2) * x) div (x + 1))
A055401-A053829: 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8
(((((x div (2 + 2)) + 2) + 2) * x) div (x + 1))
A079243: 0 2 2 3
A270826: 0 2 2 3 4 4 4 4 5 5 5 5 6 6 6 6
(((x * 2) mod (((2 + 2) * 2) + x)) mod (x + 1))
A055400: 0 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7
((((x mod 2) + x) * ((x mod 2) + x)) + (x + 1))
A081348: 1 6 7 20 21 42 43 72 73 110 111 156 157 210 211 272
((((x + 2) mod (2 + 2)) + (x * x)) * (x + 1))
A135443: 2 8 12 40
((((x + 2) * x) * ((x * x) - 1)) * (x - 1))
A192849: 0 0 24 240 1080 3360 8400 18144 35280 63360 106920 171600 264264 393120 567840 799680
((x - (((x * x) * (1 - x)) div 2)) * (x - 1))
A212135: 0 0 4 24 84 220 480 924 1624 2664 4140 6160 8844 12324 16744 22260
(x - ((((2 - x) - (x * 2)) * x) * (x - 1)))
A226450: 0 1 10 45 124 265 486 805 1240 1809 2530 3421 4500 5785 7294 9045
(((x * x) * (x * x)) * ((x * x) * (x - 1)))
A240930: 0 0 64 1458 12288 62500 233280 705894 1835008 4251528 9000000 17715610 32845824 57921708 97883968 159468750
(((((((2 + 2) * 2) * 2) + 1) * x) * x) - 1)
A321180: ~1 16 67 152 271 424 611 832 1087 1376 1699 2056 2447 2872 3331 3824
((((((x * x) + (2 + 2)) + 1) * x) * x) + 1)
A082113: 1 7 37 127 337 751 1477 2647 4417 6967 10501 15247 21457 29407 39397 51751
(((((((x * 2) + 1) * 2) * 2) - x) * x) + 1)
A005892: 1 12 37 76 129 196 277 372 481 604 741 892 1057 1236 1429 1636
(((((((x + 1) * x) + 2) * 2) + x) * x) + 1)
A047672: 1 10 37 94 193 346 565 862 1249 1738 2341 3070 3937 4954 6133 7486
(((((((x - 1) * x) div 2) + 2) * x) * x) + 1)
A318165: 1 3 13
A239592: 1 3 13 46 129 301 613 1128 1921 3079 4701 6898 9793 13521 18229 24076
(((2 - (1 mod (((2 - x) * 2) - x))) * x) + 1)
A298125: 1 3 7 19 37 61 91 127 169 217 271 331 397 469 547 631
(((2 mod ((x mod (2 + 1)) + 1)) + (x * x)) + 1)
A105770: 1 2 7 10 17 28 37 50 67 82 101 124 145 170 199 226
((((x * 2) * (x + 1)) + 1) * ((x * x) + 1))
A058920: 1 10 65 250 697 1586 3145 5650 9425 14842 22321 32330 45385 62050 82937 108706
((((x * x) * (x * x)) + 1) * ((x * x) + 1))
A059830: 1 4 85 820 4369 16276 47989 120100 266305 538084 1010101 1786324 3006865 4855540 7568149 11441476
(x - ((((1 - x) * x) div 2) * ((x * x) + 1)))
A100855: 0 1 7 33 106 265 561 1057 1828 2961 4555 6721 9582 13273 17941 23745
(x - (((x * x) * (1 - x)) * ((x * x) + 1)))
A191012: 0 1 22 183 820 2605 6666 14707 29128 53145 90910 147631 229692 344773 501970 711915
((((((x * x) * x) + 1) * x) * (x * x)) + 1)
A060883: 1 3 73 757 4161 15751 46873 117993 262657 532171 1001001 1772893 2987713 4829007 7532281 11394001
((((((x * x) * x) - 1) * x) * (x * x)) + 1)
A060891: 1 1 57 703 4033 15501 46441 117307 261633 530713 999001 1770231 2984257 4824613 7526793 11387251
(((((x * x) * x) * (x * x)) * (x * x)) + 1)
A258806: 1 2 129 2188 16385 78126 279937 823544 2097153 4782970 10000001 19487172 35831809 62748518 105413505 170859376
(((((2 + 2) * 2) * 2) + ((x * x) * x)) + 1)
A084379: 17 18 25 44 81 142 233 360 529 746 1017 1348 1745 2214 2761 3392
((x + 2) - ((x div ((2 + 2) + 1)) div (0 - 2)))
A183219: 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 19
(((x - ((x * x) div (2 + 2))) div 2) * (0 - 2))
A182568: 0 0 0 0 0 2 4 6 8 12 16 20 24 30 36 42
(((x + 1) mod 2) - (x div ((2 + 2) * (0 - 2))))
A185319: 1 1 2 1 2 1 2 1 2 2 3 2 3 2 3 2
((x div (2 + 2)) - (x div ((2 + 2) * (0 - 2))))
A260731-A119026: 0 1 1 1 2 2 2 2 3 4 4 4 5 5 5 5
(((x * 2) * 2) - (x div ((2 + 2) * (0 - 2))))
A198395: 0 5 9 13 17 21 25 29 33 38 42 46 50 54 58 62
(((x + 1) div 2) - ((x div (2 + 2)) div (0 - 2)))
A050292: 0 1 1 2 3 4 4 5 5 6 6 7 8 9 9 10
((x mod (2 + 2)) - ((x div (2 + 2)) div (0 - 2)))
A339822: 0 1 2 3 1 2 3 4 1 2 3 4 2 3 4 5
(((2 + 1) * x) - ((x mod (2 + 2)) div (0 - 2)))
A319280: 0 4 7 11 12 16 19 23 24 28 31 35 36 40 43 47
(((((x div (2 + 2)) mod 2) - x) div 2) div (0 - 2))
A192002-A074795-A072358: 0 0 0 1 1 1 1 1 2 2 2 3 3 3 3 3
(((x + 1) * 2) - (((x div 2) + x) div (0 - 2)))
A248520: 2 5 8 10 13 16 19 21 24 27 30 32 35 38 41 43
(2 - ((((2 + 1) * 2) + 1) * (x div (0 - 2))))
A168333: 2 9 9 16 16 23 23 30 30 37 37 44 44 51 51 58
(((((x * 2) + 1) * 2) * 2) - (x div (0 - 2)))
A155095: 4 13 21 30 38 47 55 64 72 81 89 98 106 115 123 132
(x - (((2 - x) * x) div (2 - (x div (0 - 2)))))
A004401: 0 1 2 4 6 8 11 13 16 18
(2 - ((((x + 2) * x) + 2) * (x div (0 - 2))))
A092831: 2 7 12 36
(2 - ((((x div 2) + x) + 2) * (x div (0 - 2))))
A133146: 2 5 7 14 18 29 35 50 58 77 87 110 122 149 163 194
(((x div ((x div ((2 + 2) + 1)) + 1)) + 1) mod 2)
A325616-A101688-A026836: 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0
((x div ((x mod ((x div (2 + 1)) + 1)) + 1)) mod 2)
A279863: 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1
(((x mod (2 - (x div ((0 - 2) - 1)))) + 1) mod 2)
A104521: 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0
(((x - 1) mod ((x div ((0 - 2) - 1)) - 1)) mod 2)
A328979: 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0
(((2 + 2) mod ((x div ((0 - 2) - 1)) - 1)) mod 2)
A224782-A027870: 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0
(((x * 2) div ((x div ((0 - 2) - 1)) - 1)) mod 2)
A341684: 0 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1
(((x * 2) mod ((x div ((0 - 2) - 1)) - 1)) mod 2)
A319581: 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0
((((x * 2) mod ((x div (0 - 2)) - 1)) + 1) mod 2)
A318997: 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1
((((x + 1) mod (((2 + 1) * 2) + 1)) + 1) mod 2)
A191156: 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1
((((x + 2) mod (((2 + 1) * 2) + 1)) + 1) mod 2)
A341150-A298426-A113704: 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0
((((x - 2) mod (((2 + 1) * 2) + 1)) + 1) mod 2)
A073070: 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1
((((x * 2) div (((2 + 1) * 2) + 1)) + 1) mod 2)
A130657: 1 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1
((((2 - x) mod (((2 + 1) * 2) + 1)) + 1) mod 2)
A128174-A097304-A096055: 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0
(((x mod (((x div (2 + 1)) * 2) - 1)) + 1) mod 2)
A214088-A141646-A129573: 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1
((x - ((x div (((0 - 2) - 2) - 1)) - 1)) * 2)
A005795: 2 6 8 10 12 14 18
(((x mod ((x mod ((0 - 2) - 2)) - 1)) + 1) mod 2)
A089011: 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0
(((x mod ((((x + 1) div 2) div 2) + 1)) + 1) mod 2)
A132194: 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1
((((x * 2) div (((2 + 2) * 2) + 1)) + 1) mod 2)
A130630: 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0
((((2 - x) mod (((2 + 2) * 2) + 1)) + 1) mod 2)
A286990: 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0
(((x div (((x - (2 + 2)) * 2) - 1)) + 1) mod 2)
A168553: 1 0 0 0 1 0 1 0 0 0 1 1
(((((x * 2) + 1) * ((2 + 2) + 1)) + 1) * 2)
A305074: 12 32 52 72 92 112 132 152 172 192 212 232 252 272 292 312
(((((x div 2) + 1) * ((2 + 2) + 1)) - 1) * 2)
A168456: 8 8 18 18 28 28 38 38 48 48 58 58 68 68 78 78
((x - (((x div 2) mod ((2 + 2) + 1)) + 1)) mod 2)
A285258: 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 0
(((((x + 1) * x) * ((2 + 2) + 1)) + 1) * 2)
A273366: 2 22 62 122 202 302 422 562 722 902 1102 1322 1562 1822 2102 2402
((x mod (((2 - x) div ((2 + 2) + 1)) - 1)) mod 2)
A324883: 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1
((x mod (((2 - x) mod ((2 + 2) + 1)) + 1)) div 2)
A288377: 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 0
(((((x div 2) + x) div ((2 + 2) + 1)) + 1) * 2)
A214628: 2 2 2 2 4 4 4 6 6 6 8 8 8 8 10 10
((x - (2 div ((x div ((2 + 2) + 1)) + 1))) mod 2)
A244221-A159684: 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1
((x - (x mod ((x div ((2 + 2) + 1)) + 1))) mod 2)
A179829: 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0
(((x - 1) div ((x mod ((2 + 2) + 1)) + 1)) mod 2)
A017871: 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0
(((((x + 1) * (2 + 1)) * (2 + 1)) + 1) * 2)
A345339: 20 38 56 74 92 110 128 146 164 182 200 218 236 254 272 290
(((((x * x) div (2 + 1)) mod (2 + 1)) + 1) mod 2)
A305387: 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1
((((((x * 2) + 1) * 2) * (2 + 1)) + 1) * 2)
A142241: 14 38 62 86 110 134 158 182 206 230 254 278 302 326 350 374
((x mod ((((0 - 2) - 2) * (2 + 1)) - 1)) mod 2)
A144599: 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1
((((x mod ((2 + 2) * 2)) mod (2 + 1)) + 1) mod 2)
A144612: 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0
(((x - 2) div (((2 + 2) * (2 + 1)) + 1)) mod 2)
A216280: 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
((x * x) mod ((((2 + 2) * (2 + 1)) + 1) * 2))
A070448: 0 1 4 9 16 25 10 23 12 3 22 17 14 13 14 17
(x mod ((x mod (((2 + 2) * (2 + 1)) + 1)) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A053833: 0 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3
((x * x) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A070444: 0 1 4 9 16 3 14 5 20 15 12 11 12 15 20 5
(((x + 1) div (((x * 2) mod (2 + 1)) + 1)) mod 2)
A245837: 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0
((x div (((2 - (x div 2)) * (2 + 1)) + 1)) mod 2)
A144195: 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0
(((x + 1) mod (((x div 2) * (2 + 1)) - 1)) mod 2)
A106138: 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0
(((x * 2) mod (((x div 2) * (2 + 1)) - 1)) mod 2)
A340006: 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0
(((x - 1) div (((x div 2) div (2 + 1)) + 1)) mod 2)
A320179: 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0
(((x - 1) mod (((x div 2) div (2 + 1)) + 1)) mod 2)
A277147: 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0
(((1 - x) div (((x div 2) mod (2 + 1)) + 1)) mod 2)
A322980: 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1
(((((x div (2 + 1)) - x) div (2 + 1)) + 1) mod 2)
A027354: 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1
((((((x div 2) + 1) * x) div (2 + 1)) + 1) mod 2)
A089885: 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1
(((((x mod (2 + 2)) + x) div (2 + 1)) + 1) mod 2)
A187972: 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1
(((x * 2) mod (((2 - x) div (2 + 1)) - 1)) mod 2)
A086079: 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0
((x - ((((x mod 2) - x) div (2 + 1)) - 1)) * 2)
A284853: 2 4 8 10 14 16 18 20 24 26 30 32 34 36 40 42
(((x mod ((0 - 2) - (x div (2 + 1)))) + 1) mod 2)
A259599-A141260-A035263: 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1
(2 - (((x + 1) mod ((x div (2 + 1)) + 1)) mod 2))
A248380: 2 2 2 2 1 2 1 2 2 2 1 2 1 2 2
((x - ((2 + 2) mod ((x div (2 + 1)) + 1))) mod 2)
A288473: 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1
((((x + 2) + 2) mod ((x div (2 + 1)) + 1)) div 2)
A250214: 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0
((((2 - x) * 2) mod ((x div (2 + 1)) + 1)) mod 2)
A188172-A037822: 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0
(((2 + 1) * x) - (((x div (2 + 1)) + 1) div 2))
A022851: 0 3 6 8 11 14 17 20 23 25 28 31 34 37 40 42
(((2 + 1) * x) - (((x div (2 + 1)) - 1) div 2))
A342281: 1 4 7 9 12 15 18 21 24 26 29 32 35 38 41 43
((((2 - x) div 2) div ((x mod (2 + 1)) + 1)) mod 2)
A106665: 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1
(((2 - x) * x) mod (((x mod (2 + 1)) + 1) * 2))
A323878: 0 1 0 1 0 3 0 1 0 1 0 3 0 1 0 1
(((x + 2) div (x - ((x mod (2 + 1)) + 1))) mod 2)
A309262: 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1
(1 - ((x mod (x - ((x mod (2 + 1)) + 1))) div 2))
A308016: 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1
((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2)
A252742-A066247: 0 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1
(((((x * x) + 2) mod ((x + 2) + 1)) + 1) mod 2)
A309850-A262448: 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0
(((((2 - x) * x) div ((x + 2) + 1)) + 1) mod 2)
A331509-A331039: 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
((x div (((x * x) mod ((x + 2) + 1)) + 1)) mod 2)
A033103: 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1
(((((x + 1) * 2) * ((x * 2) + 1)) + 1) * 2)
A254527: 6 26 62 114 182 266 366 482 614 762 926 1106 1302 1514 1742 1986
(((((x - 2) * 2) mod ((x div 2) + 1)) + 1) mod 2)
A333922-A071026: 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1
(((x div 2) mod ((2 mod ((x div 2) + 1)) + 1)) mod 2)
A323162: 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1
(((((2 - x) + 2) mod ((x div 2) + 1)) + 1) mod 2)
A130047: 1 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0
(((((x * x) + 2) mod ((x div 2) + 1)) + 1) mod 2)
A192280: 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0
(((x div (2 - ((2 + 2) mod (x + 1)))) + 1) mod 2)
A341941: 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1
(((((x * x) + (2 + 2)) * (x + 1)) - 1) * 2)
A304161: 6 18 46 102 198 346 558 846 1222 1698 2286 2998 3846 4842 5998 7326
((x mod ((((x div 2) - 2) mod (x + 1)) + 1)) mod 2)
A083914-A083891: 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1
(((((x - 2) * (x - 2)) div (x + 1)) + 1) mod 2)
A140653: 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1
((2 - (x div (((x div 2) div (0 - 2)) - 1))) div 2)
A238418-A235125-A235124: 1 1 1 2 2 2 2 2 2 2 2 2 2 3 2 2
(x - (((x div (2 + 1)) div ((0 - 2) - 1)) * 2))
A192225: 0 1 2 5
A039182: 0 1 2 5 6 7 8 9 10 11 12 13 16 17 18 19
(((x * 2) mod (2 - (x div ((0 - 2) - 1)))) mod 2)
A103589: 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0
(0 - ((x * 2) div ((x div ((0 - 2) - 1)) - 2)))
A329194: 0 1 2 2 2 3 3 3 4 4 4 4 4 4 4 5
((((2 + 2) * 2) mod ((x div (0 - 2)) - 1)) mod 2)
A132726: 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1
((((x * x) * 2) mod ((x div (0 - 2)) - 1)) mod 2)
A025457: 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0
((((2 + 1) * x) mod ((x div (0 - 2)) - 1)) mod 2)
A328891-A276935: 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0
((((x div 2) * x) div ((x div (0 - 2)) - 1)) mod 2)
A179770: 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0
((x mod (1 - (x mod ((x div (0 - 2)) - 1)))) div 2)
A339895: 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1
((x div ((((x mod (2 + 1)) + 1) * 2) + 1)) mod 2)
A275949: 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1
((((((x + 2) * (x + 1)) + 1) * 2) + 1) * 2)
A027575: 14 30 54 86 126 174 230 294 366 446 534 630 734 846 966 1094
((((x mod (((2 + 2) * 2) + 1)) div 2) + 1) mod 2)
A286903: 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0
((x mod (((x div ((2 + 2) + 1)) * 2) + 1)) mod 2)
A304095: 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1
((x mod (((x mod ((2 + 2) + 1)) div 2) + 1)) mod 2)
A135461: 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0
((x mod ((((x mod (2 + 2)) - 1) * 2) - 1)) mod 2)
A144201-A144199-A103675: 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
(x - ((((((x div 2) - 2) - 1) * 2) - 1) * 2))
A004455: 14 15 12 13 10 11 8 9 6 7 4 5 2 3 0 1
((x mod ((((x + 1) mod (2 + 1)) + 2) + 1)) mod 2)
A172486: 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1
((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2)
A081130-A035630: 0 0 0 0 0 0 0 0 1 0 0 0 1 3 0 0
((2 mod ((((x - 2) div (2 + 1)) * 2) - 1)) + 2)
A216452: 1 1 2 2 2 2 2 2 4 4 4 4 4 4 4 4
((x mod ((((x - 2) div (2 + 1)) * 2) - 1)) mod 2)
A219157: 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1
(x - (((((x div 2) * (2 + 1)) div 2) - 1) div 2))
A321695: 1 2 2 3 3 4 5 6 6 7 7 8 8 9 10 11
((x div ((((x div 2) mod (2 + 1)) + 2) + 1)) mod 2)
A065714: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1
((((x + 2) + 1) mod (((2 + 1) * 2) + 1)) mod 2)
A342770-A319797-A152140-A129569: 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0
((((x * 2) + 1) mod (((2 + 1) * 2) + 1)) div 2)
A014587: 0 1 2 0 1 2 3 0 1 2 0 1 2 3 0 1
(x - (((x + 2) div (((2 + 1) * 2) + 1)) * 2))
A309241: 0 1 2 3 4 3 4 5 6 7 8 9 8 9 10 11
((x - ((x * 2) div (((2 + 1) * 2) + 1))) * 2)
A099188: 0 2 4 6 6 8 10 10 12 14 16 16 18 20 20 22
(((x * x) * x) mod ((((2 + 1) * 2) + 1) * 2))
A070476: 0 1 8 13 8 13 6 7 8 1 6 1 6 13 0 1
(x - (((2 - x) div (((2 + 1) * 2) + 1)) * 2))
A192225: 0 1 2 5
A039097: 0 1 2 5 6 7 8 9 10 11 14 15 16 17 18 19
((((1 - x) * x) div (((2 + 1) * 2) + 1)) mod 2)
A335617: 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0
(((x - 1) mod ((x mod ((2 + 1) * 2)) + 1)) mod 2)
A254379: 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0
((x mod (x - ((x mod ((2 + 1) * 2)) - 1))) mod 2)
A098357: 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0
((x mod (((2 - (x div (2 + 1))) * 2) + 1)) mod 2)
A080885: 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0
((((x * 2) div ((x div (2 + 1)) + 2)) + 1) mod 2)
A293164-A280711: 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1
((((x * 2) mod ((x div (2 + 1)) + 2)) + 1) mod 2)
A344880: 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1
(((x div 2) div (((x div (2 + 1)) + 2) + 1)) + 2)
A107609: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2
(((2 - x) mod (((x div (2 + 1)) + 2) + 1)) mod 2)
A189028: 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1
((x - (x mod (((x div (2 + 1)) + 2) + 1))) mod 2)
A037803: 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0
((x div ((x div ((x div (2 + 1)) + 2)) + 1)) mod 2)
A284935: 0 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1
(((x mod (1 - ((x div (2 + 1)) * 2))) + 1) mod 2)
A248863: 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0
(((x div 2) mod (((x div (2 + 1)) * 2) - 1)) mod 2)
A169674-A025461: 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1
(((x * x) mod (((x div (2 + 1)) * 2) - 1)) div 2)
A299905-A283666: 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0
(((x div (x - ((x mod (2 + 1)) + 2))) + 1) mod 2)
A121505: 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0
(((x + 2) mod ((((x div 2) + 1) div 2) + 1)) div 2)
A011690: 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1
(((1 - x) div ((((x div 2) + 1) div 2) + 1)) mod 2)
A275973: 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1
((((x * x) + 1) div (((x + 1) div 2) + 1)) mod 2)
A071028: 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1
((((x * x) * 2) mod (((x + 1) div 2) + 1)) mod 2)
A243759-A011692: 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0
((((((x div 2) + x) * (x - 1)) div 2) + 1) div 2)
A006066: 0 0 1 2 5 7 11 15 21
(x - (((x div 2) div (((0 - 2) - 2) - 1)) * 2))
A039230: 0 1 4 5 6 7 8 9 10 11 12 13 16 17 18 19
(((x mod 2) - (x div (((0 - 2) - 2) - 1))) div 2)
A097471: 0 1 0 1 0 1 1 1 1 1 1 2 1 2 1 2
((x - (x mod ((x div ((0 - 2) - 2)) - 1))) mod 2)
A011701: 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1
(((x div 2) div (((x div (0 - 2)) mod 2) + 1)) mod 2)
A169675: 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1
((((x - ((x mod (2 + 1)) div 2)) div 2) + 1) div 2)
A176146: 0 0 0 1 1 1 2 2 2 2 3 3 3 3 3 4
(((2 - x) mod ((((x + 1) div 2) div 2) + 1)) div 2)
A320312: 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1
((x * 2) - (((((x - 1) div 2) div 2) - 1) div 2))
A287774: 1 3 5 7 9 10 12 14 16 18 20 22 24 25 27 29
((x div (((x div ((0 - 2) - 2)) - 2) - 1)) mod 2)
A204549: 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1
((x mod (((((x + 1) div 2) div 2) * 2) - 1)) div 2)
A221836-A035788: 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 0
((x - (((((x + 1) div 2) div 2) div 2) + 1)) mod 2)
A191188: 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0
((((x mod (1 - ((2 + 2) * 2))) div 2) + 1) mod 2)
A190843: 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0
((x * x) mod (((((2 + 2) * 2) * 2) + 1) * 2))
A070456: 0 1 4 9 16 25 2 15 30 13 32 19 8 33 26 21
((((x - (x div ((2 + 2) * 2))) div 2) + 1) mod 2)
A280933-A033461: 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 0
(((x mod (((x - 1) mod (2 + 2)) + 2)) + 1) mod 2)
A285128: 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0
((x mod ((x mod (1 - ((2 + 2) * 2))) - 1)) mod 2)
A323170-A178498-A124761: 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0
(((x div ((x mod 2) - ((2 + 2) * 2))) + 1) mod 2)
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((((2 - x) + 1) mod (((2 + 2) * 2) + 1)) mod 2)
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(2 - (((x + 2) mod (((2 + 2) * 2) + 1)) mod 2))
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(((1 - (x * 2)) div (((2 + 2) * 2) + 1)) mod 2)
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(x - (((1 - x) div (((2 + 2) * 2) + 1)) * 2))
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((((x - 2) * x) mod (((2 + 2) * 2) + 1)) mod 2)
A221151: 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0
((x - (((2 - x) div ((2 + 2) * 2)) + 1)) mod 2)
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(((x * 2) mod ((x mod ((2 + 2) * 2)) + 1)) mod 2)
A072629: 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0
((x * 2) - (((x mod ((2 + 2) * 2)) - 1) div 2))
A285401: 1 2 4 5 7 8 10 11 17 18 20 21 23 24 26 27
((x div ((((1 - x) mod (2 + 2)) * 2) + 1)) mod 2)
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((((x - 2) mod ((x div (2 + 2)) + 2)) + 1) mod 2)
A174205: 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0
((((x * 2) mod ((x div (2 + 2)) + 2)) + 1) mod 2)
A244250: 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1
((x - (x mod (((x div (2 + 2)) + 2) + 1))) mod 2)
A342753: 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0
(((x - 2) mod (((x div (2 + 2)) * 2) - 1)) mod 2)
A035695-A035670: 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1
((x mod ((2 - ((x div (2 + 2)) mod 2)) + 1)) div 2)
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((x mod (((x - (x div (2 + 2))) div 2) + 1)) div 2)
A037909: 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0
(x - ((((x - (x div (2 + 2))) div 2) - 1) div 2))
A329548: 1 2 2 3 4 5 6 6 7 8 9 10 11 11 12 13
((x mod (((2 - (x mod (2 + 2))) * 2) + 1)) mod 2)
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(((x + 1) mod (((x mod (2 + 2)) + 2) + 1)) mod 2)
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(((x div 2) mod (((x mod (2 + 2)) + 2) + 1)) mod 2)
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(((x mod (1 - ((x mod (2 + 2)) * 2))) + 1) mod 2)
A267919: 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1
(((x * 2) div (((x mod (2 + 2)) * 2) + 1)) mod 2)
A296210-A270417-A239657-A116376-A116357: 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0
(((x * x) mod (((x mod (2 + 2)) * 2) + 1)) mod 2)
A342910: 0 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1
(((x div 2) div (((x mod (2 + 2)) * 2) - 1)) mod 2)
A096094: 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1
(((((((x div 2) + x) + 2) * 2) * 2) - 1) * 2)
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(((((x * x) mod ((x + 2) + 2)) div 2) + 1) mod 2)
A123551: 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1
((x div (((2 - ((x div 2) - 2)) * 2) + 1)) mod 2)
A002100: 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1
(((x mod ((x mod ((x mod 2) + 2)) + 2)) + 1) div 2)
A083912-A083889: 0 1 0 1 0 1 0 1 0 1 0 2 0 1 0 1
(((x * 2) mod ((((x mod 2) - 2) - 2) - 1)) mod 2)
A288707: 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0
(((2 - x) div ((((x mod 2) - 2) - 2) - 1)) mod 2)
A284092: 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1
(((x - 1) mod ((((x mod 2) - 2) * 2) - 1)) mod 2)
A051908: 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1
(((x + 1) div (((x + 1) mod (2 + 2)) + 1)) mod 2)
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((x * 2) - ((((x + 1) mod (2 + 2)) - 1) div 2))
A047532: 0 2 3 7 8 10 11 15 16 18 19 23 24 26 27 31
(((x + 1) div (((x - 1) mod (2 + 2)) + 1)) mod 2)
A323158: 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1
(((x - 1) mod (((x - 1) mod (2 + 2)) + 1)) mod 2)
A260390: 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0
(((x - 2) mod (((x - 1) mod (2 + 2)) + 1)) div 2)
A287530: 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0
((x - (x div (((x - 1) mod (2 + 2)) + 1))) mod 2)
A336302: 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0
((x div ((((2 - x) div 2) mod (2 + 2)) + 1)) mod 2)
A288633: 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1
(((x + 2) div (((x + 2) mod (2 + 2)) + 1)) mod 2)
A216279: 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0
(((x - 2) div (((x + 2) mod (2 + 2)) + 1)) mod 2)
A205988: 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0
((x - ((x div (2 + 1)) mod ((2 + 2) + 1))) mod 2)
A286655: 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1
((((x * x) div (2 + 1)) mod ((2 + 2) + 1)) div 2)
A151774: 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0
(((((1 - x) div 2) - 1) mod ((2 + 2) + 1)) * 2)
A140976: 8 8 6 6 4 4 2 2 0 0 8 8 6 6 4 4
(((((x * x) * 2) + 1) * ((2 + 2) + 1)) + 2)
A061722: 7 17 47 97 167 257 367 497 647 817 1007 1217 1447 1697 1967 2257
(((x - (2 mod (x + 1))) mod ((2 + 2) + 1)) mod 2)
A285073: 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 1
((((x div 2) * (x - 1)) div ((2 + 2) + 1)) mod 2)
A304577: 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1
((x mod (x - ((x - 1) mod ((2 + 2) + 1)))) mod 2)
A011695: 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0
(((x mod ((2 + 2) * 2)) mod ((2 + 2) + 1)) mod 2)
A334414: 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0
(((((x * 2) * 2) * 2) div ((2 + 2) + 1)) + 2)
A260396: 2 3 5 6 8 10 11 13 14 16 18 19 21 22 24 26
(((((x + 1) * x) div 2) * ((2 + 2) + 1)) div 2)
A332495: 0 2 7 15 25 37 52 70 90 112 137 165 195 227 262 300
(((((x - 1) * x) + 2) mod ((2 + 2) + 1)) * 2)
A165662: 4 4 8 6 8 4 4 8 6 8 4 4 8 6 8 4
(x - ((((2 - x) div 2) div ((2 + 2) + 1)) * 2))
A192225: 0 1 2 5
A039239: 0 1 2 5 6 7 8 9 10 11 12 13 14 17 18 19
((x - (1 - ((x * 2) div ((2 + 2) + 1)))) div 2)
A258703: ~1 0 0 1 2 3 3 4 5 5 6 7 7 8 9 10
(x - (((1 - (x div 2)) div ((2 + 2) + 1)) * 2))
A039247: 0 1 2 3 6 7 8 9 10 11 12 13 14 15 18 19
(((0 - x) * (2 + 1)) mod (((2 + 2) + 1) * 2))
A144468: 0 7 4 1 8 5 2 9 6 3 0 7 4 1 8 5
(((x mod 2) * (x + 1)) mod (((2 + 2) + 1) * 2))
A071648: 0 2 0 4 0 6 0 8 0 0 0 2 0 4 0 6
((((x + 1) * x) div 2) mod (((2 + 2) + 1) * 2))
A008954: 0 1 3 6 0 5 1 8 6 5 5 6 8 1 5 0
(1 mod (((x * x) + 2) mod (((2 + 2) + 1) * 2)))
A267773: 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1
((1 - ((x + 1) * x)) mod (((2 + 2) + 1) * 2))
A191759: 1 9 5 9 1 1 9 5 9 1 1 9 5 9 1 1
(((x * x) * (x * x)) mod (((2 + 2) + 1) * 2))
A070514: 0 1 6 1 6 5 6 1 6 1 0 1 6 1 6 5
((((x div (2 + 1)) + x) mod ((2 + 2) + 1)) mod 2)
A285831: 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 0
(0 - (x div (((2 - x) div ((2 + 2) + 1)) - 2)))
A076869: 0 1 1 1 2 2 2 3 2 3 3 3 3 3 3 3
((x div (((x div 2) + x) - ((2 + 2) + 1))) mod 2)
A265333: 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0
((1 - (((x mod 2) - x) div ((2 + 2) + 1))) * 2)
A001670: 2 2 4 4 4 4 6 6 6 6 6 6 8 8 8 8
(1 - ((((x mod 2) - x) div ((2 + 2) + 1)) * 2))
A130821: 1 1 3 3 3 3 5 5 5 5 5 5 7 7 7 7
(1 - (1 mod (1 - ((x div ((2 + 2) + 1)) * 2))))
A105591: 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 5
(2 - (2 mod (1 - ((x div ((2 + 2) + 1)) * 2))))
A156821: 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 5
(((x div 2) + 1) div ((x mod ((2 + 2) + 1)) + 2))
A229850: 0 0 0 0 0 1 1 1 1 0 3 2
(((x div 2) mod (((0 - x) mod (2 + 2)) + 1)) div 2)
A094912-A025441: 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0
((2 - (x mod (((2 - x) div (2 + 2)) - 1))) div 2)
A334745: 1 1 1 1 1 1 1 2 1 1 2 1 1 2 2 1
(1 - ((x mod (((2 - x) mod (2 + 2)) + 1)) div 2))
A323154-A060038-A008966: 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0
((x - ((((x div 2) + x) div (2 + 2)) - 1)) * 2)
A050827: 2 4 6 6 8 10 10 12 12 14 16 16 18 20 20 22
((((x div (2 + 2)) * (x div (2 + 2))) + 1) div 2)
A035681: 0 0 0 0 1 1 1 1 2 2 2 2 5 5 5 5
(((x + 1) mod (0 - ((x div (2 + 2)) + 1))) mod 2)
A309168: 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0
(((x * 2) div (0 - ((x div (2 + 2)) + 1))) mod 2)
A011671: 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0
(((x div 2) + x) - (((x div (2 + 2)) + 1) div 2))
A197911: 0 1 3 4 5 6 8 9 11 12 14 15 16 17 19 20
(((x div 2) + x) - (((x div (2 + 2)) - 1) div 2))
A286045: 1 2 4 5 6 7 9 10 12 13 15 16 17 18 20 21
((((x + 1) * x) - ((x div (2 + 2)) - 1)) div 2)
A124157: 0 1 3 6 10 15 21 28 35
(((x div (2 + 1)) div ((x mod (2 + 2)) + 1)) mod 2)
A037820: 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1
((x - ((1 - x) div ((x mod (2 + 2)) + 1))) mod 2)
A265186-A174600-A053258: 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1
(((1 - (x * x)) mod ((x mod (2 + 2)) + 1)) + 2)
A258757: 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2
(((x + 1) * 2) - (((x mod (2 + 2)) - 1) div 2))
A047514: 3 4 6 7 11 12 14 15 19 20 22 23 27 28 30 31
((((((x - 2) * 2) mod (x + 2)) div 2) + 1) mod 2)
A189166: 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1
(((((x * x) * 2) mod ((x + 2) + 2)) + 1) mod 2)
A263338: 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0
((x mod (((x * x) mod ((x + 2) + 2)) + 1)) mod 2)
A065710: 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1
((((x * x) - 2) mod (((x + 2) * 2) + 1)) mod 2)
A287772: 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1
((((x * x) - 1) mod (((x - 2) * 2) - 1)) mod 2)
A025915: 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0
((x - ((x div 2) div (((x - 2) * 2) - 1))) + 2)
A262564: 2 3 5 4 6 7 8 9 10 11 12 13 14 15 16 17
(x - (((((x div 2) - (x * 2)) * 2) - 1) * 2))
A306278: 2 11 16 25 30 39 44 53 58 67 72 81 86 95 100 109
((((x * x) - 2) mod (((x * 2) * 2) - 1)) mod 2)
A097203-A025427: 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0
(((x * 2) div (((2 - (x div 2)) * 2) - 1)) mod 2)
A011694: 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1
(1 - ((x mod (((2 - (x div 2)) * 2) - 1)) div 2))
A029125: 1 1 1 1 1 1 1 2 2 2 3 3 4 4 5 5
(((((x * x) + 1) div ((x div 2) + 2)) + 1) mod 2)
A071906: 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0
(((((x * x) * 2) mod ((x div 2) + 2)) + 1) mod 2)
A119981-A115789: 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1
((((x * x) * 2) div (((x div 2) + 2) + 1)) mod 2)
A086256-A086249: 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1
((((x - 1) * x) div (((x div 2) + 2) + 1)) mod 2)
A304096: 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1
((((1 - x) * x) mod (((x div 2) + 2) + 1)) mod 2)
A188009-A157228: 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0
(((2 - (x * x)) mod (((x div 2) + 2) + 1)) mod 2)
A093879: 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1
(((((x - 1) * x) mod ((x div 2) + 2)) + 1) mod 2)
A123927-A089829: 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0
((((x * x) * x) div (((x div 2) * 2) - 1)) mod 2)
A316343: 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1
(((x div (2 + 2)) div (((x div 2) mod 2) + 1)) mod 2)
A329032-A328615: 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1
((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)
A301295-A297155-A262262-A262202-A215480-A143731-A079275: 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0
(x div ((x div (((2 - (x mod 2)) + 2) + 1)) + 2))
A343911: 0 0 1 1 2 1 2 2 2 2 2 2 3 2 3 3
(x - (((x mod ((2 - (x mod 2)) * 2)) - 1) * 2))
A263426: 2 1 0 3 6 5 4 7 10 9 8 11 14 13 12 15
((x - ((((x div 2) - (x mod 2)) div 2) - 1)) div 2)
A262869: 0 1 1 2 2 3 3 3 3 4 4 5 5 6 6 6
((x mod (1 - (x div (((x mod 2) - 2) - 1)))) div 2)
A224708: 0 0 0 0 0 0 0 1 0 1 0 2 1 2 1 3
((x mod (2 - (x mod (((x mod 2) - 2) - 1)))) div 2)
A188170: 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0
((2 + 2) - ((x mod (((x mod 2) - 2) - 1)) mod 2))
A320604: 4 3 3 3 4 3 4 3 3 3 4 3 4 3 3 3
(x - ((((x div (2 + 1)) + 1) div (2 + 1)) * 2))
A309293: 0 1 2 3 4 5 4 5 6 7 8 9 10 11 12 11
(((x - (x div ((2 + 2) + 1))) mod (2 + 1)) div 2)
A188079: 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0
((x mod (((x mod (2 + 2)) + 1) * (2 + 1))) mod 2)
A284893: 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1
(((((x - 1) * 2) div (2 + 1)) mod (2 + 1)) div 2)
A287663: 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0
(x - ((((x div 2) div (2 + 1)) * (2 + 1)) div 2))
A245321: 0 1 2 3 4 5 5 6 7 8 9 10 9 10 11 12
(((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + 2)
A281546: 2 29 56 83 110 137 164 191 218 245 272 299 326 353 380 407
(((((x - 1) * x) div (2 + 1)) mod (2 + 1)) div 2)
A105563: 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0
(x - (((1 - (x div (2 + 1))) div (2 + 1)) * 2))
A039200: 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 19
(((x - (1 - (x div (2 + 1)))) div (2 + 1)) mod 2)
A287674: 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0
((((x - 1) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)
A131378: 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0
((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)
A089734: 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0
(x - (((x mod ((x div 2) + 1)) div (2 + 1)) * 2))
A309279: 0 1 2 3 4 5 6 5 6 7 8 9 10 9 10 11
(((((x div (2 + 2)) * x) - 1) div (2 + 1)) mod 2)
A190207: 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0
((x mod ((((x mod 2) - x) - 1) div (2 + 1))) mod 2)
A238304: 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0
(x div ((((2 + 2) mod (x + 1)) * (2 + 1)) + 2))
A030566: 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1
((((x div (2 + 2)) * (x + 1)) div (2 + 1)) mod 2)
A286606: 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0
(((x + 1) mod (x - ((x + 1) mod (2 + 1)))) div 2)
A240718: 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1
((x - (((x div (2 + 1)) mod 2) * (2 + 1))) * 2)
A004516: 0 2 4 0 2 4 12 14 16 12 14 16 24 26 28 24
((x - ((((x div 2) - 1) div 2) div (2 + 1))) div 2)
A100682: 0 1 1 1 2 2 3 3 4 4 5 5 6 6 6 7
((x - (x div (((0 - 2) - 2) * (2 + 1)))) mod 2)
A327208: 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1
(((((x div (2 + 1)) * 2) * 2) div (2 + 1)) * 2)
A344853: 0 0 0 2 2 2 4 4 4 8 8 8 10 10 10 12
((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2)
A175797: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 3
((((x - 1) mod ((2 + 2) * 2)) mod (2 + 1)) mod 2)
A114482: 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0
((((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) mod 2)
A188432: 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1
(((x mod ((x div (2 + 2)) + 2)) mod (2 + 1)) div 2)
A103673: 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0
(((x div (((x div 2) mod 2) - 2)) mod (2 + 1)) mod 2)
A156731: 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0
(((x * x) div (1 - ((2 + 2) * (2 + 1)))) mod 2)
A167392: 0 1 1 1 0 1 0 1 0 0 0 1 0 0 0 1
(((x * x) mod (1 - ((2 + 2) * (2 + 1)))) mod 2)
A289104-A289016-A288991-A288167: 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0
((x mod ((x div 2) - ((2 + 2) * (2 + 1)))) mod 2)
A284905: 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0
((((x * 2) - (x div (2 + 2))) div (2 + 1)) mod 2)
A288213: 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1
((((x * 2) mod ((x div 2) + 2)) mod (2 + 1)) div 2)
A226464: 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0
(x - (((x mod ((x div 2) + 2)) div (2 + 1)) * 2))
A309384: 0 1 2 3 4 5 6 7 8 7 8 9 10 11 12 11
(((((1 - x) * (x div 2)) div 2) div (2 + 1)) mod 2)
A339051: 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1
(((((x div (2 + 1)) * x) div 2) div (2 + 1)) mod 2)
A346392: 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0
(((((x div (2 + 2)) * x) + 2) div (2 + 1)) mod 2)
A025431: 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1
(x - (((((x mod 2) - x) - 2) div (2 + 1)) * 2))
A102806: 2 3 6 7 8 9 12 13 16 17 18 19 22 23 26 27
((((1 - (x div 2)) mod (x + 2)) mod (2 + 1)) mod 2)
A280456: 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0
((((2 - (x div 2)) mod (x + 2)) mod (2 + 1)) mod 2)
A286063: 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0
(((((x * x) * x) div (x + 2)) mod (2 + 1)) div 2)
A062301: 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0
((((x div (2 + 1)) - (x * 2)) div (2 + 1)) mod 2)
A176405: 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1
(0 - (x div (((1 - (x div 2)) div (2 + 1)) - 2)))
A278163-A000194: 0 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4
(1 - (x div (((1 - (x div 2)) div (2 + 1)) - 2)))
A331256-A331246-A316843-A283297-A122027: 1 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5
(((x + 1) mod (2 - ((x div 2) * (2 + 1)))) mod 2)
A109706: 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1
(1 - ((2 - x) div (((x div 2) div (2 + 1)) + 2)))
A268708: 0 1 1 2 2 3 3 3 3 4 4 4 4 4 4 5
((x - 2) mod ((((x * x) div 2) mod (2 + 1)) + 2))
A262680: 0 1 0 1 2 1 0 1 2 1 0 1 0 1 0 1
(2 - ((1 - (x mod (2 + 1))) mod ((2 + 1) * 2)))
A132677: 1 2 ~3 1 2 ~3 1 2 ~3 1 2 ~3 1 2 ~3 1
((x * x) - ((x div (0 - 2)) - ((2 + 1) * 2)))
A100602: 6 8 11 17
((((x div 2) div (2 + 1)) + x) mod ((2 + 1) * 2))
A053841: 0 1 2 3 4 5 1 2 3 4 5 0 2 3 4 5
((((((x + 2) * 2) + 1) * x) div (2 + 1)) + 2)
A030503: 2 4 8 13 19 27 36 46 58 71 85 101 118 136 156 177
(x - ((((x mod (2 + 1)) - x) - (2 + 1)) * 2))
A133893: 6 7 8 15 16 17 24 25 26 33 34 35 42 43 44 51
((x - (x div (2 - ((1 - x) div (2 + 1))))) mod 2)
A107329: 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1
((((((x div 2) + 1) div 2) * x) mod (2 + 1)) div 2)
A122414: 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0
((((((x - 1) div 2) div 2) + x) mod (2 + 1)) div 2)
A281272: 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0
((((((x mod 2) * 2) * 2) + x) * (2 + 1)) div 2)
A168197: 0 7 3 10 6 13 9 16 12 19 15 22 18 25 21 28
(((((1 - x) mod (2 + 2)) - x) div (2 + 1)) mod 2)
A159689: 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 1
(((((x * x) div (2 + 2)) + x) * (2 + 1)) + 2)
A228344: 2 5 11 17 26 35 47 59 74 89 107 125 146 167 191 215
((((x mod ((x div 2) + 2)) * x) div (2 + 1)) mod 2)
A340507-A243224: 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0
((((((x div 2) * x) mod 2) + x) * (2 + 1)) div 2)
A130482: 0 1 3 6 6 7 9 12 12 13 15 18 18 19 21 24
((x + 2) mod ((((x mod 2) + x) div (2 + 1)) + 2))
A065134: 0 1 0 2 0 3 0 1 2 1 2 1 2 3 4 3
((((x div (2 + 1)) - 1) * (x div (2 + 1))) div 2)
A211534: 0 0 0 0 0 0 1 1 1 3 3 3 6 6 6 10
((((x div (2 + 2)) + 1) * (x div (2 + 1))) mod 2)
A309144: 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0
((2 div (((2 + 1) * 2) - (x div (2 + 1)))) * 2)
A308922-A308921-A308920: 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 4
((((x div (2 + 2)) mod 2) + (x div (2 + 1))) div 2)
A156684: 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 3
(((((x + 1) * x) div 2) + (x div (2 + 1))) div 2)
A024169: 0 0 1 3 5 8 11 15 19 24 29 34 41 47 54 62
(((2 - x) div ((x + 2) - (x div (2 + 1)))) mod 2)
A204445: 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0
((((x + 2) * (x + 1)) + (x mod (2 + 1))) div 2)
A143101: 1 3 7 10 15 22 28 36 46 55 66 79 91 105 121 136
((((x div 2) div (0 - 2)) * (x mod (2 + 1))) mod 2)
A084863-A024326: 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0
((x mod (((2 - x) div 2) - (x mod (2 + 1)))) mod 2)
A319659: 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0
(((((x div 2) * x) mod 2) + (x mod (2 + 1))) div 2)
A116178: 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0
(((x + 1) mod (2 + 2)) div ((x mod (2 + 1)) + 2))
A341994: 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0
(((x div 2) mod (2 + 2)) div ((x mod (2 + 1)) + 2))
A011683: 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1
(x mod ((2 + 2) - (x mod ((x mod (2 + 1)) + 2))))
A283988: 0 1 0 0 1 2 2 1 0 0 1 0 0 1 0 0
((((x - 1) div 2) div 2) * ((x mod (2 + 1)) div 2))
A136274: 0 0 0 0 0 1 0 0 1 0 0 2 0 0 3 0
(((x + 1) div (2 - (x - (x mod (2 + 1))))) mod 2)
A209229: 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0
((((((x - 2) div (2 + 1)) * x) div 2) + 1) mod 2)
A091949: 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1
((((((1 - x) div (2 + 1)) * x) div 2) + 1) mod 2)
A063995: 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1
(x - (((((x mod (2 + 1)) - x) div 2) - 1) div 2))
A288315: 1 2 3 5 6 7 8 9 10 12 13 14 16 17 18 20
(((((x div (2 + 1)) * (1 - x)) div 2) + 1) mod 2)
A267576: 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0
((((((2 - x) div (2 + 2)) - x) div 2) + 1) mod 2)
A298731-A109705: 1 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1
(x - ((((((x div 2) mod 2) - x) div 2) - 1) * 2))
A047578: 2 5 6 7 10 13 14 15 18 21 22 23 26 29 30 31
((((x * x) * x) mod (((2 - x) * 2) + 1)) mod 2)
A284745: 0 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0
((((((x * x) + 1) div 2) mod (x + 2)) + 1) mod 2)
A285657: 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0
(((((x * x) div (2 + 2)) mod (x + 2)) + 1) mod 2)
A305994: 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0
((((x * x) * (x + 1)) div ((x + 2) + 1)) mod 2)
A307597: 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0
((((2 + 2) * (x - 1)) mod ((x + 2) + 1)) mod 2)
A316865: 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0
(((((x * x) * x) - 1) mod ((x + 2) + 1)) mod 2)
A276404-A037912: 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0
(((((x * x) + 2) * 2) mod ((x + 2) + 1)) mod 2)
A203951: 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0
((((2 - x) * (x - 2)) div ((x + 2) + 1)) mod 2)
A285196: 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 0
(((1 - ((x * x) div 2)) mod ((x + 2) + 1)) mod 2)
A267349: 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1
(((((x div 2) - (x * x)) div (x + 2)) + 1) mod 2)
A204171: 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0
(((((x + 1) * x) + 1) * ((x * 2) + 1)) div 2)
A147656: 0 4 17 45 94 170 279 427 620 864 1165 1529 1962 2470 3059 3735
(((2 - (x div 2)) div 2) + (((x * 2) + 1) * 2))
A190080: 3 7 10 14 18 22 25 29 33 37 40 44 48 52 55 59
((((x + 1) * x) div 2) + (((x * 2) + 1) * 2))
A155212: 2 7 13 20 28 37 47 58 70 83 97 112 128 145 163 182
((((x * x) * (x * x)) div ((x * 2) - 1)) mod 2)
A285565: 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1
(((((x - 2) div (2 + 1)) * (x div 2)) + 1) mod 2)
A071031-A070950: 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1
((x mod (((x div (2 + 2)) * (x div 2)) - 1)) mod 2)
A011707: 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1
((((((x div 2) + x) div 2) * (x div 2)) + 1) mod 2)
A188031-A005713: 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0
((((((x mod 2) + x) * 2) - (x div 2)) + 1) * 2)
A166542: 2 10 8 16 14 22 20 28 26 34 32 40 38 46 44 52
(((x * 2) mod (((x div 2) * (x div 2)) + 1)) mod 2)
A302048: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0
(((((2 + 1) * 2) + 1) * ((x div 2) + 1)) - 2)
A168336: 5 5 12 12 19 19 26 26 33 33 40 40 47 47 54 54
((((x * 2) * (2 + 1)) mod ((x div 2) + 1)) mod 2)
A045698: 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0
(((((x * x) * x) - 1) div ((x div 2) + 1)) mod 2)
A181359: 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1
(((((2 - x) + 1) * 2) mod ((x div 2) + 1)) mod 2)
A033985: 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0
((((x * x) + (2 + 2)) mod ((x div 2) + 1)) mod 2)
A037819: 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1
((((x + 1) div 2) div 2) * (((x div 2) + 1) div 2))
A151819: 0 0 0 1 1 1 2 4 4 4
(((((x * 2) - 1) * x) mod ((x div 2) + 1)) div 2)
A279794: 0 0 0 0 0 0 1 1 0 1 2 1 1 1 1 1
((x div 2) div (((x * x) mod ((x div 2) + 1)) + 2))
A340795: 0 0 0 0 0 0 1 1 0 1 0 1 1 2 1 2
((((x * x) div (2 + 2)) * ((x div 2) - 1)) div 2)
A330298: 0 0 0 0 2 3 9 12 24 30 50 60 90 105 147 168
((((x - 1) div 2) div 2) * (((x div 2) - 1) div 2))
A321406: 1 0 0 0 0 0 1 1 1 2 4
((((((x div 2) mod 2) * x) - (x div 2)) + 1) div 2)
A242601: 0 0 1 1 ~1 ~1 2 2 ~2 ~2 3 3 ~3 ~3 4 4
((x mod (((x div (2 + 2)) + (x mod 2)) + 1)) div 2)
A293513-A025429: 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0
(((x * 2) div (2 + 1)) mod (((x mod 2) + 1) * 2))
A109362: 0 0 1 2 0 3 0 0 1 2 0 3 0 0 1 2
(((((x mod (2 + 2)) + (x * x)) div 2) + 1) div 2)
A008811: 0 1 2 3 4 7 10 13 16 21 26 31 36 43 50 57
((x - ((((x div 2) - (x * x)) div 2) - 1)) div 2)
A261222: 0 1 2 4 6 9 12 15 19 24 29 35 41 48 55 62
((((x * x) * x) div (((2 + 1) * x) + 1)) mod 2)
A064990: 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1
(((2 - (x * x)) div (((2 + 1) * x) - 1)) mod 2)
A175337: 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 0
((((1 mod (((2 - x) * 2) + 1)) + x) + 1) * 2)
A254275: 4 6 6 8 6 4
((((x div ((x mod (2 + 1)) + 2)) * x) + 1) mod 2)
A165556-A090174: 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0
(((((x - (x div (2 + 2))) div 2) + x) + 1) div 2)
A075357: 0 1 2 2 3 4 4 5 6 6 7 8 8 9 10 11
((2 mod (((x mod ((x mod 2) + 2)) - x) - 1)) mod 2)
A261447: 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0
(((((((2 + 2) + 1) * x) + 2) * x) + 1) * 2)
A295906: 2 16 50 104 178 272 386 520 674 848 1042 1256 1490 1744 2018 2312
(((((((x div 2) mod 2) + x) div 2) + x) + 1) * 2)
A118286: 2 4 8 12 14 16 20 24 26 28 32 36 38 40 44 48
((x - ((0 - 2) mod (((x div 2) * x) + 1))) mod 2)
A284944-A284674: 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1
((x div 2) div ((((2 + 2) + 1) mod (x + 1)) + 2))
A027191: 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1
((((2 + 2) - (x div (2 + 1))) div (x + 1)) mod 2)
A085979: 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1
((((((x * 2) + 1) * x) + 1) * (x + 1)) div 2)
A212960: 0 4 16 44 92 168 276 424 616 860 1160 1524 1956 2464 3052 3728
((((x mod ((x div 2) + 1)) div 2) * (x + 1)) mod 2)
A037910: 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0
((((x div ((x mod 2) + 1)) + 2) * (x + 1)) div 2)
A056136: 1 2 6 6 15 12 28 20 45 30 66 42 91 56 120 72
(((((x * x) * (x + 1)) div 2) * (x + 1)) div 2)
A000537: 0 1 9 36 100 225 441 784 1296 2025 3025 4356 6084 8281 11025 14400
((((((x div 2) + 1) div 2) div 2) * (x + 1)) mod 2)
A248747: 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0
(((1 - ((x * x) div (2 + 2))) div (x + 1)) mod 2)
A051341: 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0
((((((x + 2) * x) div 2) + 2) * (x + 1)) div 2)
A246695: 1 3 9 18 35 57 91 132 189 255 341 438 559 693 855 1032
(((((x + 2) * (x + 2)) + 2) * (x + 1)) div 2)
A164845: 3 11 27 54 95 153 231 332 459 615 803 1026 1287 1589 1935 2328
((((x div 2) + x) + 2) div ((2 mod (x + 1)) + 2))
A077219: 1 1 1 1 2 2 2 3 3 3 4 4 5 5 5 6
((((((x * 2) + 1) * x) + 2) * (x + 1)) div 2)
A081435: 1 5 18 46 95 171 280 428 621 865 1166 1530 1963 2471 3060 3736
(((x mod 2) - 2) mod (((x + 2) * (x + 1)) div 2))
A162761: 0 2 4 9 13 20 26 35 43 54 64 77 89 104 118 135
(((((x - 1) div 2) * (x div 2)) * (x + 1)) div 2)
A080838: 0 0 0 2 5 12 21 36 54 80 110 150 195 252 315 392
((((x mod (2 + 2)) + (x div 2)) * (x + 1)) div 2)
A124193: 0 1 4 8 5 9
(((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2)
A038189: 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1
((((((x div 2) + x) * x) + 2) div (x + 1)) mod 2)
A284878-A118006: 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0
((x div (((2 + 2) * 2) + 1)) + ((x + 1) * 2))
A329836: 2 4 6 8 10 12 14 16 18 21 23 25 27 29 31 33
(((x + 1) div ((2 + 2) + 1)) + ((x + 1) * 2))
A249099: 2 4 6 8 11 13 15 17 19 22 24 26 28 30 33 35
(((x * 2) div ((2 + 2) + 1)) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A285075-A186220: 2 4 6 9 11 14 16 18 21 23 26 28 30 33 35 38
(((x div 2) div ((2 + 2) + 1)) + ((x + 1) * 2))
A246414-A137804-A064720-A059548-A059534-A054965: 2 4 6 8 10 12 14 16 18 20 23 25 27 29 31 33
((2 div (((x - 2) * 2) - 1)) mod ((x + 1) * 2))
A167876: 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0
((((x + 1) div 2) div (2 + 1)) + ((x + 1) * 2))
A329828-A182766: 2 4 6 8 10 13 15 17 19 21 23 26 28 30 32 34
((x div ((2 + 2) * (2 + 1))) + ((x + 1) * 2))
A064676: 2 4 6 8 10 12 14 16 18 20 22 24 27 29 31 33
(((x mod ((2 + 2) + 1)) mod 2) + ((x + 1) * 2))
A028946: 2 5 6 9 10 12
((((x + 1) div (2 + 1)) mod 2) + ((x + 1) * 2))
A187978-A120749: 2 4 7 9 11 12 14 16 19 21 23 24 26 28 31 33
((((x div 2) mod (2 + 1)) mod 2) + ((x + 1) * 2))
A327207: 2 4 7 9 10 12 14 16 19 21 22 24 26 28 31 33
(((((x + 1) div 2) div 2) div 2) + ((x + 1) * 2))
A329939-A329832: 2 4 6 8 10 12 14 17 19 21 23 25 27 29 31 34
(((((x + 1) div 2) div 2) mod 2) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A191231: 2 4 6 9 11 13 15 16 18 20 22 25 27 29 31 32
((x div (1 - ((2 + 2) * 2))) + ((x + 1) * 2))
A186330: 2 3 5 7 9 11 13 15 16 18 20 22 24 26 28 29
(x - ((x div ((2 + 2) * 2)) - ((x + 1) * 2)))
A329988-A329961-A078608: 2 5 8 11 14 17 20 23 25 28 31 34 37 40 43 46
(((x - (x div (2 + 2))) div 2) + ((x + 1) * 2))
A190004-A182761: 2 4 7 9 11 14 16 19 21 23 26 28 30 33 35 38
((x div (((x div 2) + 2) + 2)) + ((x + 1) * 2))
A247430: 2 4 6 8 10 12 14 17 19 21 23 25 27 29 31 33
((((x - 1) * x) div (2 + 2)) + ((x + 1) * 2))
A186351: 2 4 6 9 13 17 21 26 32 38 44 51 59 67 75 84
((((x div (2 + 2)) + x) div 2) + ((x + 1) * 2))
A189379-A184735-A184583: 2 4 7 9 12 15 17 20 23 25 28 30 33 36 38 41
((((x div 2) - 1) * (x div 2)) + ((x + 1) * 2))
A082742: 2 4 6 8 12 14 20 22 30 32 42 44 56 58 72 74
((((x * x) + 2) div (x + 2)) + ((x + 1) div 2))
A339022: 1 2 2 4 5 6 7 9 10 12 13 15 16 18 19 21
((((x + 2) * x) + (x mod 2)) * ((x + 1) div 2))
A050442: 0 4 8 32 48 108 144 256 320 500 600 864 1008 1372 1568 2048
(((x div ((x mod 2) + 1)) + x) * ((x + 1) div 2))
A129370: 0 1 4 8 16 21 36 40 64 65 100 96 144 133 196 176
((x - ((((x div 2) - 2) * x) div (x + 1))) div 2)
A319951: 0 1 1 2 2 2 3 3 3 4 4 4 4 5 5 5
((((((2 + 1) * x) - 2) * x) * (x + 1)) div 2)
A007586: 0 1 12 42 100 195 336 532 792 1125 1540 2046 2652 3367 4200 5160
(((((x * x) * x) * (x * x)) * (x + 1)) div 2)
A168351: 0 1 48 486 2560 9375 27216 67228 147456 295245 550000 966306 1617408 2599051 4033680 6075000
((2 + 1) div (((2 + 2) * 2) - ((x - 1) div 2)))
A034401: 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3
((((x + 2) + 2) * (x * x)) - ((x - 1) div 2))
A112613: 1 5 24
A205669: 1 5 24 62
((1 - x) mod (2 - (((2 - x) * (x - 1)) div 2)))
A170807: 1 0 1 1 2 4 7
(((x * x) * 2) - (((2 - x) * (x - 1)) div 2))
A192136: 1 2 8 19 35 56 82 113 149 190 236 287 343 404 470 541
(((((x * x) div (2 + 2)) + (x * x)) + 1) div 2)
A330133: 0 1 3 6 10 16 23 31 40 51 63 76 90 106 123 141
(((((x - 2) * x) + 2) * ((x * x) + 1)) div 2)
A058919: 1 1 5 25 85 221 481 925 1625 2665 4141 6161 8845 12325 16745 22261
((((x * 2) - (x mod 2)) * ((x * x) + 1)) div 2)
A071289: 0 1 10 25 68 117 222 325 520 697 1010 1281 1740 2125 2758 3277
((((x * x) * (x * x)) * ((x * x) + 1)) div 2)
A168192: 0 1 40 405 2176 8125 23976 60025 133120 269001 505000 893101 1503360 2427685 3783976 5720625
(x - (((x div ((2 + 2) + 1)) div (0 - 2)) * 2))
A039254: 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 19
(x - (((((x - 1) div 2) div 2) div (0 - 2)) * 2))
A039146: 0 1 2 3 4 7 8 9 10 11 12 13 14 17 18 19
((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2)
A010060: 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0
(((x div 2) - (x div ((2 + 2) * (0 - 2)))) mod 2)
A245938: 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1
(0 - (x div ((x div ((2 + 2) * (0 - 2))) - 2)))
A070564: 0 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4
(((x + 2) - ((x div (2 + 2)) div (0 - 2))) * 2)
A067315: 4 6 8 10 14 16 18 20 22 24 26 28 32 34 36 38
(((x div 2) - ((x div (2 + 2)) div (0 - 2))) mod 2)
A095190: 0 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1
((x mod 2) - (((x div (2 + 2)) div (0 - 2)) * 2))
A068639: 0 1 0 1 2 3 2 3 2 3 2 3 4 5 4 5
((((x * x) mod ((x + 2) + 2)) div (0 - 2)) mod 2)
A173922: 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0
((((x * 2) mod ((x div 2) + 2)) div (0 - 2)) mod 2)
A014707: 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0
(((x div (2 - ((x div 2) mod 2))) div (0 - 2)) mod 2)
A324903: 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0
(((((x mod (2 + 1)) + x) div 2) div (0 - 2)) mod 2)
A269528: 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0
(((((x mod (2 + 1)) - x) div 2) div (0 - 2)) mod 2)
A214210: 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0
((0 - (x div (2 + 2))) * (x div ((0 - 2) - 2)))
A008238: 0 0 0 0 1 2 2 2 4 6 6 6 9 12 12 12
(1 - ((2 - x) div (2 - (x div ((0 - 2) - 2)))))
A186437-A074280-A000523: 0 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4
(2 - ((2 - x) div (2 - (x div ((0 - 2) - 2)))))
A113473: 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5
((x - (x mod (2 + 2))) - (x mod ((0 - 2) - 2)))
A159966: 0 3 2 1 4 7 6 5 8 11 10 9 12 15 14 13
((((x - 1) div (2 + 1)) * (x div (0 - 2))) mod 2)
A037802: 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0
((((2 - x) + 1) mod (2 - (x div (0 - 2)))) mod 2)
A127241-A087748: 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0
((((2 + 2) * 2) mod (2 - (x div (0 - 2)))) mod 2)
A316345: 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0
(((1 - (x * x)) mod (2 - (x div (0 - 2)))) mod 2)
A333816: 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 0
(1 - (((2 + 1) * x) div ((x div (0 - 2)) - 2)))
A305233: 1 2 3 4 4 4 5 5 5 5 6 6 6 6 6 6
((x + 1) mod (1 - (x div ((x div (0 - 2)) - 2))))
A237451-A220663: 0 0 1 0 1 0 1 2 0 1 2 0 1 2 0 1
(((x div 2) * (x div 2)) + ((x div (0 - 2)) mod 2))
A137224: 0 1 2 1 4 5 10 9 16 17 26 25 36 37 50 49
((2 + 2) - ((x + 2) mod ((x mod (0 - 2)) - 2)))
A111731: 4 4 4 5 4 6 4 4 4
(((2 mod ((x mod ((2 + 2) + 1)) + 1)) + 2) + 2)
A019559: 4 4 6 6 6 4 4 6 6 6 4 4 6 6 6 4
((((x div ((x mod (2 + 2)) + 1)) - 1) div 2) mod 2)
A059318: 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1
(((x - (((x + 1) mod (2 + 1)) - 1)) div 2) div 2)
A230516: 0 0 0 0 0 1 1 1 2 2 2 3 3 3 3 3
((((x * 2) mod ((x div (2 + 1)) + 1)) mod 2) + 2)
A272231: 2 2 2 2 2 2 2 2 3 2 2 2 2 3 3 2
((x mod ((x mod ((x div (2 + 1)) + 1)) + 2)) div 2)
A224447-A025436: 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0
(((x mod (((2 + 2) * (0 - 2)) - 1)) mod 2) + 2)
A276856: 2 2 3 2 3 2 3 2 3 2 2 3 2 3 2 3
(x - (((x div ((x div (0 - 2)) - 1)) - 2) * 2))
A253472: 4 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23
((x * x) - (((((2 + 1) * 2) + 1) * 2) * 2))
A155136: ~28 ~27 ~24 ~19 ~12 ~3 8 21 36 53 72 93 116 141 168 197
((x * x) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A070450: 0 1 4 9 16 25 8 21 8 25 16 9 4 1 0 1
((((2 - x) mod (((2 + 1) * 2) + 1)) div 2) mod 2)
A188374: 1 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0
(x - (((x div (((2 + 1) * 2) + 1)) * 2) * 2))
A245344: 0 1 2 3 4 5 6 3 4 5 6 7 8 9 6 7
(((x mod ((x mod ((2 + 1) * 2)) + 1)) div 2) div 2)
A275926: 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0
(1 - (((x mod (((0 - 2) - 2) - 1)) mod 2) * 2))
A131554: 1 1 ~1 1 ~1 1 1 ~1 1 ~1 1 1 ~1 1 ~1 1
(((((x - (x div (0 - 2))) * 2) + 1) * 2) * 2)
A259755: 4 20 28 44 52 68 76 92 100 116 124 140 148 164 172 188
(((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2)
A320535: 0 0 0 2 0 2 0 2 0 0 2 2 0 2 0 0
(((x div ((((2 + 2) * 2) * 2) - 1)) + 2) * 2)
A273339: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6
(((x mod ((((x mod 2) + 2) + 2) + 1)) div 2) div 2)
A262900: 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0
((((x mod (2 + 2)) * ((2 + 2) + 1)) div 2) + 2)
A071790: 2 4 7 9 2 4 7 9 2 4 7 9 2 4 7 9
(((x * x) * x) mod ((((2 + 2) + 1) * 2) * 2))
A070702-A070482: 0 1 8 7 4 5 16 3 12 9 0 11 8 17 4 15
(((((x div 2) + x) mod ((2 + 2) + 1)) div 2) mod 2)
A188297: 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1
(((2 - x) mod ((x div ((2 + 2) + 1)) + 2)) div 2)
A160973: 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1
(((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + 2)
A127656: 2 2 2 3 2 2 2 3 3 2 2 3 2 2 2 3
((x div 2) - ((((x div (2 + 2)) + 1) div 2) * 2))
A059906: 0 0 1 1 0 0 1 1 2 2 3 3 2 2 3 3
(((x div 2) - (((x div (2 + 2)) - 1) div 2)) mod 2)
A179020: 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0
((((x + 1) mod ((x mod (2 + 2)) + 1)) div 2) + 2)
A227533: 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2
(((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2)
A014577: 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1
((((x * 2) mod (((x div 2) + 2) + 1)) div 2) mod 2)
A189203: 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0
((((x div 2) - ((x + 1) mod (2 + 1))) div 2) mod 2)
A170966: 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 1
(((x - 1) div (((x - 1) mod (2 + 1)) + 2)) mod 2)
A284680: 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1
(x - ((((x div (2 + 2)) * (2 + 1)) div 2) * 2))
A339902-A110157: 0 1 2 3 2 3 4 5 2 3 4 5 4 5 6 7
((((((x + 1) * x) div 2) * (2 + 1)) div 2) * 2)
A268810: 0 2 8 18 30 44 62 84 108 134 164 198 234 272 314 360
(((x * x) mod (((x - 2) * (2 + 1)) - 2)) mod 2)
A327802: 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1
(((x - (1 - ((x div 2) div (2 + 1)))) div 2) mod 2)
A188398: 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0
(2 - ((2 + 2) div ((x mod ((2 + 1) * 2)) + 2)))
A300075: 0 1 1 2 2 2 0 1 1 2 2 2 0 1 1 2
(((x + 1) mod (((1 - x) div (2 + 1)) - 2)) mod 2)
A068430: 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1
(((((x - 1) div 2) - (x div (2 + 1))) div 2) mod 2)
A343344-A341168: 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1
((x - ((x - 1) div ((x div (2 + 1)) + 2))) mod 2)
A338354-A290452-A246720-A246690-A054521: 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1
((((x * x) - 1) div ((x div (2 + 1)) + 2)) mod 2)
A108357-A036988: 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0
(((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) mod 2)
A285969-A189664: 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0
(2 - (((x * 2) div ((x div (2 + 1)) + 2)) mod 2))
A026513: 2 1 2 2 2 1 1 1 2 1 2 2 2 2 2 2
(((((x + 1) div 2) + (x mod (2 + 1))) div 2) mod 2)
A296084: 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0
(((((2 - x) div 2) * (x mod (2 + 1))) div 2) mod 2)
A024879: 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0
((((x - 1) div 2) mod ((x mod (2 + 1)) + 2)) div 2)
A242192-A011672: 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0
((x div 2) - (x div (((x mod (2 + 1)) div 2) + 2)))
A307985: 0 0 1 0 0 1 0 0 2 0 0 2 0 0 3 0
(((((x div (2 + 2)) * (x div 2)) - 1) div 2) mod 2)
A115944: 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0
(x - ((((2 + 2) mod ((x div 2) + 1)) mod 2) * 2))
A331171: 0 1 2 3 2 3 6 7 8 9 10 11 12 13 14 15
((((x - (2 + 2)) mod ((x div 2) + 1)) div 2) mod 2)
A037830: 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1
((((x mod (2 + 1)) mod ((0 - x) - 1)) div 2) mod 2)
A189816: 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0
(((((x mod (2 + 1)) - 1) * (x + 1)) div 2) mod 2)
A239927: 1 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0
((((x div ((0 - 2) - 1)) * (x + 1)) div 2) mod 2)
A267371-A094186: 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0
((((x div ((0 - 2) - 1)) mod (x + 1)) + 2) * 2)
A020891: 4 6 8 10 10 12 14 14 16 18 18 20 22 22 24 26
((((x div ((2 + 2) + 1)) * (x + 1)) div 2) mod 2)
A118952: 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0
((((((x + 2) * x) + 1) * (x + 1)) div 2) * 2)
A301647: 0 8 26 64 124 216 342 512 728 1000 1330 1728 2196 2744 3374 4096
(((((x + 2) * (x + 2)) * (x + 1)) div 2) div 2)
A078618: 1 4 12 25 45 73 112 162 225 302 396 507 637 787 960 1156
(((((x div 2) + x) + 1) * ((x + 1) div 2)) div 2)
A192225: 0 1 2 5
A001318: 0 1 2 5 7 12 15 22 26 35 40 51 57 70 77 92
((x div ((2 + 2) * 2)) + (((x + 1) div 2) div 2))
A057627-A013940: 0 0 0 1 1 1 1 2 3 3 3 4 4 4 4 5
(((x div ((0 - 2) - 1)) * ((x - 1) div 2)) mod 2)
A336356-A319988-A268340: 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1
((((x div 2) mod (2 + 1)) * ((x - 1) div 2)) mod 2)
A295308: 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1
((x mod ((x div ((2 + 2) * (0 - 2))) - 2)) mod 2)
A272664: 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1
(x - ((((x div 2) + 1) mod ((0 - 2) - 2)) * 2))
A244588: 6 7 6 7 6 7 6 7 14 15 14 15 14 15 14 15
((((x div (2 + 2)) * x) div ((0 - 2) - 2)) mod 2)
A336921-A325122-A324930: 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0
(((2 - x) div (2 - (x div ((0 - 2) - 2)))) mod 2)
A030300: 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1
(0 - ((x * 2) div ((x div ((0 - 2) - 2)) - 2)))
A253272-A123578-A023965: 0 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5
((x + 2) - (x div ((x div ((0 - 2) - 2)) - 2)))
A172284-A062289: 2 4 5 6 8 9 10 11 12 13 14 16 17 18 19 20
(((x * 2) div (2 - (x mod ((0 - 2) - 2)))) mod 2)
A309061: 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0
(((x * x) div (x - ((x div (0 - 2)) - 2))) + 2)
A303003: 2 2 2 3 4 4 5 5 6 7 7 8 9 9 10
((x div (((x div ((0 - 2) - 1)) mod 2) + 2)) mod 2)
A134391: 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1
((((x - (x mod ((0 - 2) - 1))) div 2) div 2) + 2)
A057810: 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5
(((x - ((x div ((2 + 2) + 1)) * 2)) * 2) * 2)
A081747: 0 4 8 12 16 12 16 20 24 28 24 28 32 36 40 36
((x div ((((x - 1) mod (2 + 1)) + 2) + 2)) mod 2)
A194670: 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 0
((2 div ((((x div 2) * (2 + 1)) div 2) - 2)) mod 2)
A281083-A117964-A074079: 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0
(x - (((((1 - x) div (2 + 1)) * 2) * 2) * 2))
A112654: 0 1 10 11 12 21 22 23 32 33 34 43 44 45 54 55
((((x - 1) mod ((x div (2 + 1)) + 2)) div 2) div 2)
A055240: 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0
((2 - (x mod (((x mod (2 + 1)) - 2) - 2))) div 2)
A006928: 1 2 1 1 2 1 2 2 1 2 2 1 1 2 1 1
((((x - ((x * x) mod (2 + 1))) div 2) div 2) mod 2)
A325954: 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1
(((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2)
A143580-A010059: 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1
((((((x + 2) * (x + 2)) - 1) div 2) * 2) * 2)
A332044: 4 16 28 48 68 96 124 160 196 240 284 336 388 448 508 576
(((((((2 + 2) + 1) * x) + 1) * 2) * 2) * 2)
A139279: 8 48 88 128 168 208 248 288 328 368 408 448 488 528 568 608
((((((x * x) div 2) mod (x + 1)) mod 2) + 2) + 2)
A276866: 4 4 4 4 5 4 4 4 5 4 4 4 5 4 4 4
(((x + 1) * 2) - ((((x + 1) div 2) div 2) div 2))
A184592: 2 4 6 8 10 12 14 15 17 19 21 23 25 27 29 30
(((((x div (2 + 1)) * (x - 1)) div 2) div 2) mod 2)
A070100-A070095: 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1
((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2)
A011890: 0 0 0 0 3 7 15 26 42 63 90 123 165 214 273 341
(((x mod (2 - (((x * x) - 1) div 2))) div 2) mod 2)
A276630: 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0
((x mod ((((x div 2) div (0 - 2)) div 2) - 2)) mod 2)
A288752: 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1
(((((x - 1) mod ((2 + 1) * 2)) + 2) + 2) * 2)
A104218: 18 8 10 12 14 16 18 8 10 12 14 16 18
(((x - ((((x div 2) - 1) div 2) mod 2)) div 2) + 2)
A110862: 1 2 3 3 4 4 4 5 5 6 7 7
((((((x div 2) * (x - 1)) div 2) div 2) div 2) div 2)
A011885: 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 6
((x mod (((((x + 1) div 2) div 2) mod 2) + 2)) mod 2)
A174998: 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1
(x - (((1 - (((2 + 2) * 2) * 2)) * 2) * 2))
A266916: 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
(x - ((1 - ((((2 + 2) * 2) * 2) * 2)) * 2))
A296766: 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77
((((x - (x div ((2 + 2) * 2))) mod 2) + 2) + 2)
A126128: 4 5 4 5 4 5 4 5 5 4 5 4 5 4 5 4
((x mod ((((x div (2 + 2)) mod 2) + 2) + 2)) mod 2)
A285966: 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0
((x - ((((x div (2 + 2)) mod 2) * 2) * 2)) * 2)
A004518: 0 2 4 6 0 2 4 6 16 18 20 22 16 18 20 22
((((((x * x) * (2 + 2)) * 2) * 2) * 2) * 2)
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((x div ((((x + 1) mod (2 + 2)) + 2) * 2)) mod 2)
A011716: 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1
((x div ((((x - 1) mod (2 + 2)) + 2) + 2)) mod 2)
A037812: 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0
(((x mod ((x mod 2) - ((2 + 2) * 2))) mod 2) + 2)
A307713: 2 2 2 2 2 2 2 2 2 3 2 3 2 3 2 2
((x * x) - ((1 - (((2 + 2) * 2) * 2)) * 2))
A114964: 30 31 34 39 46 55 66 79 94 111 130 151 174 199 226 255
(((x * x) * x) mod ((((2 + 2) * 2) * 2) * 2))
A070494: 0 1 8 27 0 29 24 23 0 25 8 19 0 21 24 15
((x - (2 div (x - (((2 + 2) * 2) * 2)))) * 2)
A194396: 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 34
(((x - 2) div ((x div ((2 + 2) * 2)) + 2)) + 2)
A157792: 1 1 2 2 3 3 4 4 4 4 4 5 5 5 6 6
(((x mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2)
A082401-A080846: 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0
((((x + 2) mod ((x div (2 + 2)) + 2)) div 2) mod 2)
A011684: 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1
((((x * 2) mod ((x div (2 + 2)) + 2)) div 2) mod 2)
A084143: 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0
(((x - 1) div (((x div (2 + 2)) + 2) + 2)) mod 2)
A204545: 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0
(((x div 2) - (((x div (2 + 2)) mod 2) * 2)) * 2)
A063695: 0 0 2 2 0 0 2 2 8 8 10 10 8 8 10 10
((x - (((x - (x div (2 + 2))) div 2) mod 2)) div 2)
A245710: 0 0 0 1 1 2 3 3 3 4 5 5 6 6 6 7
(((((x * 2) - (x mod (2 + 2))) * 2) * 2) * 2)
A125991: 0 8 16 24 64 72 80 88 128 136 144 152 192 200 208 216
(((x div 2) mod (((x mod (2 + 2)) + 2) + 2)) mod 2)
A288551: 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0
(((x - (x mod ((x mod (2 + 2)) + 2))) div 2) mod 2)
A083916-A083893: 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1
(((2 - (x - (((x * 2) * 2) * 2))) * 2) * 2)
A139608: 8 36 64 92 120 148 176 204 232 260 288 316 344 372 400 428
(x - (((x - (((x * 2) * 2) * 2)) * 2) * 2))
A248786-A195819-A004922: 0 29 58 87 116 145 174 203 232 261 290 319 348 377 406 435
(((x mod (1 - (((x mod 2) + 2) * 2))) mod 2) * 2)
A110177: 0 0 2 0 0 0 0 2 2 2 0 0 0 0 2 0
((x div ((x - ((x + 1) mod (2 + 2))) * 2)) mod 2)
A316341: 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0
(((x + 2) mod (((x - 1) mod (2 + 2)) + 2)) div 2)
A069847: 1 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0
((x mod ((((x - 1) div 2) mod (2 + 2)) + 2)) div 2)
A340007: 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0
(((x - 1) div (((x + 2) mod (2 + 2)) + 2)) mod 2)
A025919: 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0
(((2 - x) div (((x div 2) mod (2 + 2)) + 2)) mod 2)
A027360: 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1
((x - (x div (((x div 2) mod (2 + 2)) + 2))) mod 2)
A284468: 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0
((((x + 1) * x) div (1 - ((2 + 2) * 2))) mod 2)
A288478: 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1
((2 - ((x * x) div (1 - ((2 + 2) * 2)))) div 2)
A029040: 1 1 1 2 2 3 4 4 6 7 8 10 11 13 15 17
(((x * 2) - ((x + 1) mod ((2 + 2) * 2))) + 2)
A309126: 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 32
(x - ((2 div ((x div 2) - ((2 + 2) * 2))) - 2))
A154660: 3 4 5 6 7 8
A192452-A132147: 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19
(x - ((2 div ((x div 2) - ((2 + 2) * 2))) * 2))
A279487-A046039: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19
((x - (2 div ((x div 2) - ((2 + 2) * 2)))) * 2)
A321193-A284788: 2 4 6 8 10 12 14 16 18 20 22 24 26 28 32 34
((x - ((2 + 2) * 2)) mod (((2 + 2) * 2) * 2))
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((((x + 1) * x) div 2) mod (((2 + 2) * 2) * 2))
A105333: 0 1 3 6 10 15 5 12 4 13 7 2 14 11 9 8
(((x * x) * (x mod 2)) mod (((2 + 2) * 2) * 2))
A167545: 0 1 0 9 0 9 0 1 0 1 0 9 0 9 0 1
(2 div (1 - (2 mod (x - (((2 + 2) * 2) * 2)))))
A034410: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2
(((x * x) * (x * x)) div (((2 + 2) * 2) * 2))
A011863: 0 0 1 5 16 39 81 150 256 410 625 915 1296 1785 2401 3164
((((x * 2) * 2) - (x div ((2 + 2) * 2))) + 2)
A251538: 2 6 10 14 18 22 26 30 33 37 41 45 49 53 57 61
((x mod (2 + 2)) div ((x div ((2 + 2) * 2)) + 2))
A339824: 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1
(x - ((((1 - x) * x) * ((2 + 2) * 2)) * 2))
A282854: 0 1 34 99 196 325 486 679 904 1161 1450 1771 2124 2509 2926 3375
(((x + 1) mod (((2 - x) div (2 + 2)) - 2)) mod 2)
A309848: 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0
((1 - (x div (((2 - x) div (2 + 2)) - 2))) * 2)
A130819: 2 4 4 4 6 6 6 6 6 8 8 8 8 8 8 8
(x - ((x div (((2 - x) div (2 + 2)) - 2)) - 2))
A345443-A135668: 2 4 5 6 8 9 10 11 12 14 15 16 17 18 19 20
(1 - ((x div (((2 - x) div (2 + 2)) - 2)) * 2))
A130175-A001650: 1 3 3 3 5 5 5 5 5 7 7 7 7 7 7 7
(x - ((x div (((2 - x) div (2 + 2)) - 2)) * 2))
A112594: 0 3 4 5 8 9 10 11 12 15 16 17 18 19 20 21
((x - ((((x div 2) + x) div (2 + 2)) mod 2)) div 2)
A267097: 0 0 1 1 1 2 3 3 3 4 4 5 6 6 6 7
(((x - 1) mod ((2 - (x div (2 + 2))) + 2)) div 2)
A014108-A014072: 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0
((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2)
A101257-A069859: 0 0 0 0 0 1 0 0 0 1 0 1 0 1 2 0
((((x + 1) * 2) mod ((x div (2 + 2)) + 2)) mod 2)
A092573: 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0
((((x - 1) * 2) mod ((x div (2 + 2)) + 2)) mod 2)
A033107: 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1
((x - ((x * 2) div ((x div (2 + 2)) + 2))) mod 2)
A011697: 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1
(((x + 1) * 2) div (((x div (2 + 2)) + 2) + 2))
A261104: 0 1 1 2 2 2 2 3 3 3 3 4 3 4 4 4
(((x div 2) + x) div (((x div (2 + 2)) + 2) * 2))
A161105-A161066-A161040: 0 0 0 1 1 1 1 1 1 1 1 2 1 1 2 2
(x - (((1 - x) div ((x div (2 + 2)) + 2)) - 2))
A183874-A175140: 2 3 5 6 7 9 10 11 12 13 15 16 17 18 19 20
(x - ((2 + 2) div (((x div (2 + 2)) - 2) - 2)))
A101771: 1 2 3 4 6 7 8 9 10 11 12 13 16 17 18 19
(((x - 1) mod ((2 - (x mod (2 + 2))) + 2)) div 2)
A103840: 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0
((((2 - x) + 2) div ((x mod (2 + 2)) + 2)) mod 2)
A106701: 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1
(2 - (((x + 2) div ((x mod (2 + 2)) + 2)) mod 2))
A337565: 1 1 1 1 1 2 2 1 1 1 1 2 1 1 2 1
((((x * x) + 2) div ((x mod (2 + 2)) + 2)) mod 2)
A285671-A230901: 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1
((((x * x) + 2) mod ((x mod (2 + 2)) + 2)) mod 2)
A287372-A188291: 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0
(x - ((x - 1) div (((x mod (2 + 2)) + 2) + 2)))
A093697: 1 1 2 3 4 5 6 7 7 8 9 10 10 11 12 13
(((x mod 2) * x) div (((x mod (2 + 2)) + 2) * 2))
A283929: 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 1
((2 - (x mod (1 - ((x mod (2 + 2)) * 2)))) div 2)
A337260-A296772-A228525: 1 1 1 2 1 1 1 2 1 1 2 3 1 1 1 1
((2 mod ((x - ((x * x) div (2 + 2))) + 2)) mod 2)
A011704: 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1
((1 - ((x - ((x * x) div (2 + 2))) div 2)) div 2)
A011872: 0 0 0 0 0 1 1 2 2 3 4 5 6 8 9 11
(((((1 - (x div 2)) mod (x + 2)) div 2) div 2) + 2)
A104147: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4
((((x - 2) * x) div (((x + 2) + 2) + 2)) mod 2)
A085977: 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1
((x - ((x * x) div (((x + 2) + 2) + 2))) mod 2)
A086072: 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1
((((2 - (x * x)) mod ((x + 2) + 2)) div 2) mod 2)
A141738: 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0
(x - (((x - ((2 - (x div 2)) div 2)) div 2) div 2))
A210435-A175406: 1 1 2 3 3 4 5 5 6 7 7 8 9 10 10 11
(((((x * x) - 1) mod ((x div 2) + 2)) div 2) div 2)
A297239-A034408: 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2
(((((x + 1) * 2) mod ((x div 2) + 2)) div 2) div 2)
A116377: 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1
(((((x * x) - 2) mod ((x div 2) + 2)) div 2) div 2)
A026799: 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1
(((x - ((2 - x) mod ((x div 2) + 2))) div 2) mod 2)
A289074: 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1
(((((1 - x) * x) mod ((x div 2) + 2)) div 2) mod 2)
A280164: 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1
((((x div 2) - 1) mod (((x div 2) mod 2) + 2)) mod 2)
A285661: 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0
((((2 - x) div 2) mod (((x div 2) mod 2) + 2)) mod 2)
A141737-A141728: 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0
(((x mod (((2 - x) * (x div 2)) + 2)) div 2) mod 2)
A011718: 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1
((x - ((2 - x) div (((x mod 2) + 2) + 2))) mod 2)
A188014: 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0
((((x div 2) - (x mod ((x mod 2) + 2))) div 2) mod 2)
A282244: 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1
(x div ((x mod ((x mod ((x mod 2) + 2)) + 2)) + 2))
A213633: 0 0 1 1 2 1 3 2 4 3 5 2 6 4 7 5
(((x - 1) mod ((x div ((x mod 2) - 2)) - 2)) mod 2)
A267927: 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1
(((x - 2) div ((x div ((x mod 2) - 2)) - 2)) mod 2)
A267155: 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1
((x - (((x - ((x * x) * 2)) * 2) * 2)) * 2)
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(((x - 1) div (x - ((x - 1) mod (2 + 2)))) mod 2)
A024359: 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1
(((x + 2) div (x - ((x - 1) mod (2 + 2)))) mod 2)
A267579: 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1
((x mod 2) - ((0 - ((x div 2) mod (2 + 2))) div 2))
A140085: 0 1 1 2 1 2 2 3 0 1 1 2 1 2 2 3
(x - ((((2 - x) - (x div 2)) div (2 + 2)) - 2))
A188070: 2 3 5 6 7 9 10 11 13 14 16 17 18 20 21 22
(x - (((x + 1) * 2) div (1 - ((2 + 2) * 2))))
A287770-A039080: 1 2 3 5 6 7 8 10 11 12 14 15 16 17 19 20
(1 - (((2 + 1) * x) div (1 - ((2 + 2) * 2))))
A120397: 1 2 2 3 3 4 4 4 5 5 6 6 7 7 7 8
(x - (((2 + 1) * x) div (1 - ((2 + 2) * 2))))
A195129: 0 2 3 5 6 8 9 10 12 13 15 16 18 19 20 22
(((2 + 1) * x) - (x div (1 - ((2 + 2) * 2))))
A121381: 0 4 7 10 13 16 19 22 26 29 32 35 38 41 44 48
((0 - x) mod (x - ((x - 1) mod ((2 + 2) * 2))))
A138472: 0 0 0 0 0 0 0 0 0 0 8 7 6 5 4 3
(x - (x mod (x - ((x - 1) mod ((2 + 2) * 2)))))
A103303: 0 1 2 3 4 5 6 7 8 9
A329623-A257779: 0 1 2 3 4 5 6 7 8 9 9 9 9 9 9 9
((x - (((x div 2) mod 2) * 2)) mod ((2 + 2) * 2))
A063694: 0 1 0 1 4 5 4 5 0 1 0 1 4 5 4 5
(((((x + 2) + 1) * x) div 2) + ((2 + 2) * 2))
A167487: 8 10 13 17 22 28 35 43 52 62 73 85 98 112 127 143
(1 - (((2 - x) - (x div 2)) div ((2 + 2) * 2)))
A247781: 1 1 2 2 2 2 2 2 3 3 3 3 3 4 4 4
((((x + 1) * x) + (x mod 2)) mod ((2 + 2) * 2))
A159058: 0 3 6 5 4 7 2 1 0 3 6 5 4 7 2 1
(((x div ((2 + 2) * 2)) + x) mod ((2 + 2) * 2))
A053843: 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0
(((((2 + 1) * x) - 2) * x) * ((2 + 2) * 2))
A153808: 0 8 64 168 320 520 768 1064 1408 1800 2240 2728 3264 3848 4480 5160
((x mod 2) - (((x mod 2) - x) * ((2 + 2) * 2)))
A151977: 0 1 16 17 32 33 48 49 64 65 80 81 96 97 112 113
(((x + 1) * (2 + 1)) - (x div ((2 + 2) * 2)))
A342831: 3 6 9 12 15 18 21 24 26 29 32 35 38 41 44 47
((((x + 2) + 2) * 2) - (x mod ((2 + 2) * 2)))
A115419: 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31
(((x mod (2 + 2)) + (x * x)) mod ((2 + 2) * 2))
A077750: 0 2 6 4 0 2 6 4 0 2 6 4 0 2 6 4
(x - ((((2 div (x + 1)) - x) div (2 + 2)) - 2))
A136432: 2 3 5 6 7 9 10 11 12 14 15 16 17 19 20 21
((x - (((2 div (x + 1)) - x) div (2 + 2))) div 2)
A194179-A005379: 0 0 1 2 2 3 4 4 5 6 6 7 7 8 9 9
(((((x div 2) * (x + 1)) - x) div (2 + 2)) mod 2)
A255817: 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0
(((((x div (2 + 1)) - 2) * x) div (2 + 2)) mod 2)
A161382: 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1
((((2 - ((x div 2) mod 2)) * x) mod (2 + 2)) + 2)
A182215: 2 4 4 5 2 4 4 5 2 4 4 5 2 4 4 5
(((x div ((2 + 2) + 1)) * (x div (2 + 2))) div 2)
A211190: 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4
((x div (((2 + 2) * 2) - (x div (2 + 2)))) mod 2)
A011713: 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1
(((2 - x) mod (2 + 2)) div ((x div (2 + 2)) + 2))
A205633: 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0
((x * 2) - ((x - 2) div ((x div (2 + 2)) + 2)))
A193732: 1 3 4 6 8 9 11 13 15 17 18 20 22 24 26 28
(x - (((x mod 2) - x) div ((x div (2 + 2)) + 2)))
A066533: 0 1 3 4 6 7 8 9 10 11 13 14 15
(((x * 2) - (x mod 2)) + ((x div (2 + 2)) mod 2))
A003995: 0 1 4 5 9 10 13 14 16 17 20 21 25 26 29 30
(((2 + 1) * x) div ((x - (x div (2 + 2))) + 2))
A029835: 0 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3
(x - ((x mod 2) - ((x - (x div (2 + 2))) mod 2)))
A340477-A340401: 0 1 2 3 5 4 7 6 8 9 10 11 13 12 15 14
((x mod ((((2 - (x div 2)) * x) div 2) - 2)) mod 2)
A086483: 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1
(1 - (((x mod (((x div 2) + x) - 2)) mod 2) * 2))
A276438: 1 1 1 ~1 1 1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1
(2 - ((x div ((((x div 2) * x) mod 2) + 2)) mod 2))
A320473: 2 2 1 1 2 2 1 2 2 2 1 1 2 2 1 1
(((((x div (2 + 1)) - 1) * (x + 2)) div 2) mod 2)
A029444: 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0
(((((x mod (2 + 1)) - 1) * (x + 2)) div 2) mod 2)
A262805: 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1
(((((x * x) * (2 + 1)) div (x + 2)) div 2) mod 2)
A074937: 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1
((((((2 + 1) * x) + 1) * (x + 2)) div 2) div 2)
A024219: 0 3 7 12 19 28 38 49 62 77 93 110 129 150 172 195
((((((x + 1) * x) + 1) * (x + 2)) div 2) * 2)
A245996: 2 8 28 64 126 216 344 512 730 1000 1332 1728 2198 2744 3376 4096
(((((x + 2) * (x + 2)) * (x + 2)) - 2) - 2)
A030653: 4 23 60 121 212 339 508 725 996 1327 1724 2193 2740 3371 4092 4909
(((((x * x) div 2) + 1) mod ((x + 2) + 2)) mod 2)
A237048: 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0
(((((x + 2) + 2) + 2) * ((x + 2) + 2)) + 2)
A034106: 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401
(((x - 2) * (x - 1)) div (((x + 2) + 2) + 2))
A319413: 0 0 0 0 0 1 1 2 3 3 4 5 6 6 7 8
((((x * 2) * 2) * 2) div (((x + 2) + 2) + 2))
A156876: 0 1 2 2 3 3 4 4 4 4 5 5 5 5 5 5
(x - (((x * x) - 2) div (((x + 2) + 2) + 2)))
A201052: 1 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5
(x - (((x + 1) * x) div (((x + 2) + 2) + 2)))
A135034: 0 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4
(1 - ((2 - (x * x)) div (((x + 2) + 2) + 2)))
A103354: 1 1 2 2 3 4 4 5 6 7 8 8 9 10 11 12
(2 div (((x * x) - 2) mod (((x + 2) + 2) * 2)))
A280618: 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0
(x - ((((x div 2) * x) div ((x + 2) + 2)) * 2))
A276439-A064289: 0 1 2 3 2 3 4 5 4 5 4 5 4 5 4 5
(x - ((((x - 1) * x) div ((x + 2) * 2)) - 2))
A198292: 2 3 4 5 5 6 7 7 8 8 9 9 10 10 11 11
((((x - ((2 + 2) * 2)) * (x - 2)) - 2) - 2)
A127146: 12 3 ~4 ~9 ~12 ~13 ~12 ~9 ~4 3 12 23 36 51 68 87
((((x + 1) * x) div 2) + (((x * 2) * 2) * 2))
A056126: 0 9 19 30 42 55 69 84 100 117 135 154 174 195 217 240
((((x - 1) * x) div 2) + (((x * 2) * 2) * 2))
A056121: 0 8 17 27 38 50 63 77 92 108 125 143 162 182 203 225
(((x - ((2 - (x * x)) * (x * 2))) * 2) * 2)
A163322: 0 ~4 40 180 464 940 1656 2660 4000 5724 7880 10516 13680 17420 21784 26820
(x - (((x - ((x * x) * (x * 2))) * 2) * 2))
A173202: 0 5 58 207 500 985 1710 2723 4072 5805 7970 10615 13788 17537 21910 26955
((((((2 + 1) * 2) + 1) * (x div 2)) + 2) + 2)
A168373: 4 4 11 11 18 18 25 25 32 32 39 39 46 46 53 53
(((((x - 2) div (2 + 1)) * (x div 2)) mod 2) + 2)
A273165: 2 2 2 2 2 2 3 3 2 2 2 3 2 2 2 2
((2 - (((x mod (2 + 1)) - (x div 2)) div 2)) div 2)
A053261: 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 3
(((((x + 2) * (x + 1)) + (x div 2)) div 2) div 2)
A261223: 0 1 3 5 8 11 14 18 23 28 34 40 47 54 61 69
(x - ((((2 - (x div 2)) * (x div 2)) div 2) div 2))
A067570: 0 1 2 3 4 5 7
A274337: 0 1 2 3 4 5 7 8 10 11 14
((x mod (2 - (((x mod 2) - (x div 2)) div 2))) div 2)
A345375: 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0
(((((x - 1) * x) - 1) mod ((x div 2) + 2)) mod 2)
A285960: 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0
(((((x * x) + 1) * 2) div ((x div 2) + 2)) mod 2)
A333437-A308264-A186518: 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0
(((x - ((2 - x) * 2)) div ((x div 2) + 2)) + 2)
A130245: 0 1 2 3 4 4 4 5 5 5 5 6 6 6 6 6
((2 - x) mod (((x - 2) div ((x div 2) + 2)) + 2))
A025664-A025656: 0 0 0 1 0 1 0 1 0 2 1 0 2 1 0 2
((((1 - x) * (x * 2)) div ((x div 2) + 2)) mod 2)
A011720: 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1
((((1 - x) * (x * 2)) mod ((x div 2) + 2)) mod 2)
A198317-A026800: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1
(((((x * x) * x) + 2) div ((x div 2) + 2)) mod 2)
A320638-A272974-A272965-A144093-A054431-A047999: 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1
(((x - (2 + 1)) * 2) div (((x div 2) + 2) + 2))
A064663: ~2 ~1 ~1 0 0 0 0 1 1 1 1 1 1 2 2 2
(1 - ((x - ((x * x) div ((x div 2) + 2))) div 2))
A279135: 1 1 1 1 1 2 2 2 2 3 3 4 4 5 5 6
((((1 - (x * x)) * x) div ((x div 2) + 2)) mod 2)
A219463: 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0
(((x mod (2 + 1)) * x) mod (((x div 2) mod 2) + 2))
A194685: 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0
((((x + 1) div 2) * x) mod (((x div 2) mod 2) + 2))
A101669: 0 1 2 0 0 1 0 1 0 1 2 0 0 1 2 0
(x - ((x div (2 + 2)) div (((x div 2) mod 2) - 2)))
A039253: 0 1 2 3 5 6 7 8 9 10 12 13 14 15 17 18
(((x + 2) * 2) - ((x - ((x div 2) mod 2)) div 2))
A192506-A175526-A091212: 4 6 8 9 10 12 14 15 16 18 20 21 22 24 26 27
(((x * 2) mod (((x div 2) - (x mod 2)) + 2)) mod 2)
A277627: 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0
((x div 2) - (((x + 1) div ((x mod 2) + 2)) div 2))
A276797: 0 0 1 1 1 1 2 2 2 3 3 3 3 4 4 5
(((x - ((x div 2) mod 2)) div ((x mod 2) + 2)) mod 2)
A328831: 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0
((x + 1) mod (((x + 2) mod ((x mod 2) + 2)) + 2))
A247477: 1 0 1 0 1 0 1 0 1 2 1 0 1 0 1 0
(((x mod (2 + 1)) + x) div (((x mod 2) + 2) + 2))
A053267: 0 0 1 0 1 1 1 1 2 1 2 2 3 2 4 3
(2 - ((x + 1) mod ((x mod ((x mod 2) + 2)) + 2)))
A283144: 1 0 1 2 1 0 1 0 1 2 1 2 1 0 1 2
(((2 - (x div (2 + 1))) div ((x mod 2) - 2)) mod 2)
A328361: 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1
((((0 - x) mod (2 + 2)) * ((x mod 2) - 2)) + 2)
A228826: 2 ~1 ~2 1 2 ~1 ~2 1 2 ~1 ~2 1 2 ~1 ~2 1
(x - ((((x mod (2 - (x * x))) - 2) div 2) div 2))
A193622: 1 2 3 5 7 10
A019529: 1 2 3 5 7 10 14 18 22 27 33 39 45 52 60 68
((x div (((x mod (2 + 1)) * 2) - 1)) mod (2 + 2))
A339601: 0 1 0 1 0 1 2 3 2 3 2 3 0 1 0 1
((x - (((2 - x) div 2) div (2 + 1))) mod (2 + 2))
A159880: 0 1 2 0 1 2 3 0 1 3 0 1 2 3 0 2
((x - (((x mod 2) + x) div (2 + 1))) mod (2 + 2))
A300290: 0 1 2 2 3 3 0 1 2 2 3 3 0 1 2 2
(((((x div (2 + 2)) + 1) * x) + 1) mod (2 + 2))
A089652: 1 2 3 0 1 3 1 3 1 0 3 2 1 1 1 1
(1 - ((((2 + 2) + 1) mod (x + 1)) mod (2 + 2)))
A014165-A014141: 1 0 ~1 0 1 0 0 0 0 0 0 0 0 0 0 0
(x - (((x div 2) mod 2) - ((x + 1) mod (2 + 2))))
A056699: 1 3 4 2 5 7 8 6 9 11 12 10 13 15 16 14
((1 - (x * 2)) mod (x - ((x + 1) mod (2 + 2))))
A343464: 0 0 0 1 2 0 1 1 6
(x - (((x div 2) mod 2) - ((x - 1) mod (2 + 2))))
A292576: 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16
(2 - ((x * 2) div ((x div (0 - 2)) - (2 + 2))))
A194847: 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5
((x * 2) - (x mod (((x div 2) + 2) + (2 + 2))))
A103303: 0 1 2 3 4 5 6 7 8 9
A276392: 0 1 2 3 4 5 6 7 8 9 10 22 24 25 27 28
((x - (((x div (2 + 2)) * x) * 2)) mod (2 + 2))
A193682: 0 1 2 3 0 3 2 1 0 1 2 3 0 3 2 1
(((((x + 2) * (x + 1)) - 1) * x) div (2 + 2))
A319007: 0 1 5 14 29 51 82 124 178 245 327 426 543 679 836 1016
(((x div (((2 + 1) * 2) + 1)) + x) * (2 + 2))
A034045: 0 4 8 12 16 20 24 32 36 40 44 48 52 56 64 68
(((((x * x) * (2 + 2)) + 1) * x) * (2 + 2))
A144965: 0 20 136 444 1040 2020 3480 5516 8224 11700 16040 21340 27696 35204 43960 54060
(x - ((((x * x) mod (2 + 1)) - x) div (2 + 2)))
A241403: 0 1 3 4 5 6 8 9 10 12 13 14 15 16 18 19
(((x div 2) + (x * 2)) + ((1 - x) mod (2 + 2)))
A345019: 1 2 8 9 11 12 18 19 21 22 28 29 31 32 38 39
(x - ((((x div (2 + 1)) mod 2) + x) div (2 + 2)))
A072586: 0 1 2 2 3 4 5 6 6 7 8 8 9 10 11 11
(x - (((x mod ((2 + 2) * 2)) - x) * (2 + 2)))
A024646: 0 1 2 3 4 5 6 7 40 41 42 43 44 45 46 47
(((x div (((x div 2) + 2) + 2)) + x) + (2 + 2))
A162706-A088331: 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20
(((x div (((x div 2) + 2) + 2)) + x) mod (2 + 2))
A308898: 0 1 2 3 0 1 2 0 1 2 3 0 1 2 3 0
((((x mod ((x mod 2) + 2)) div 2) * x) div (2 + 2))
A341624-A341620-A336917-A088722-A065205-A051584: 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0
(x - ((((x div 2) mod (2 + 2)) + x) div (2 + 2)))
A286389: 0 1 2 2 3 4 4 5 6 7 8 8 9 10 10 11
(1 - ((((x div 2) mod (2 + 2)) - x) div (2 + 2)))
A303904: 1 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4
(((x - ((1 - (x * 2)) * 2)) * x) * (2 + 2))
A193872: 0 12 64 156 288 460 672 924 1216 1548 1920 2332 2784 3276 3808 4380
((((((x * x) + 1) * x) + 2) * x) div (2 + 2))
A006528: 0 1 6 24 70 165 336 616 1044 1665 2530 3696 5226 7189 9660 12720
(((2 + 1) * x) - (((x div 2) + x) div (2 + 2)))
A004957: 0 3 6 8 11 14 16 19 21 24 27 29 32 35 37 40
((1 - (x mod (2 - ((x mod 2) * x)))) mod (2 + 2))
A330888: 1 1 1 1 1 2 1 0 1 2 1 0 1 2 1 0
(((((x + 1) div 2) div 2) + 1) * (x div (2 + 2)))
A038715: 0 0 0 0 2 2 2 3 6 6 6 8 12 12 12 15
((x div ((x div (2 + 2)) + 1)) + (x div (2 + 2)))
A202304: 0 1 2 3 3 3 4 4 4 5 5 5 6 6 6 6
((((2 + 2) + 1) * (x + 1)) + (x div (2 + 2)))
A001962: 5 10 15 20 26 31 36 41 47 52 57 62 68 73 78 83
((((x mod (2 + 2)) * 2) * 2) + (x div (2 + 2)))
A126006: 0 4 8 12 1 5 9 13 2 6 10 14 3 7 11 15
((((x * 2) * 2) div (x + 2)) + (x div (2 + 2)))
A219652: 0 1 2 2 3 3 4 4 5 5 5 5 6 6 6 6
(((((x div 2) + x) div 2) * x) + (x mod (2 + 2)))
A010386: 0 1 4 9 12 16
((((((2 + 1) * 2) + 1) * x) * x) div (2 + 2))
A195041: 0 1 7 15 28 43 63 85 112 141 175 211 252 295 343 393
((((((x + 1) * 2) + 1) * x) * x) div (2 + 2))
A011934: 0 1 7 20 44 81 135 208 304 425 575 756 972 1225 1519 1856
((((x div ((2 + 2) + 1)) + x) * x) div (2 + 2))
A107427: 0 0 1 2 4 7 10 14 18 22
(((x + 1) * x) - (((1 - x) * x) div (2 + 2)))
A249852: 0 2 7 14 23 35 50 67 86 108 133 160 189 221 256 293
(((x + 2) * x) - (((2 - x) * x) div (2 + 2)))
A115006: 0 3 8 16 26 39 54 72 92 115 140 168 198 231 266 304
((((x + 1) * x) div 2) + ((x * x) * (2 + 2)))
A022267: 0 5 19 42 74 115 165 224 292 369 455 550 654 767 889 1020
((((x - 1) * x) div 2) + ((x * x) * (2 + 2)))
A022266: 0 4 17 39 70 110 159 217 284 360 445 539 642 754 875 1005
(((((x div 2) div ((2 + 2) + 1)) + x) div 2) + 2)
A111684: 2 2 3 3 4 4 5 5 6 6 7 8 8 9 9 10
((2 - (((x mod ((2 + 2) + 1)) - x) div 2)) div 2)
A290573: 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 5
(((x mod (((x mod (2 + 2)) + 1) - x)) mod 2) * 2)
A172246: 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2
((((x div ((2 + 2) * (2 + 1))) + x) + 2) * 2)
A284665-A111305: 4 6 8 10 12 14 16 18 20 22 24 26 30 32 34 36
((((((2 - x) div 2) mod (2 + 1)) * x) div 2) mod 2)
A320927: 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1
(((1 - (x * x)) mod (((2 + 1) * x) + 2)) mod 2)
A267814-A191232: 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1
((2 - ((((x * x) mod (2 + 1)) - x) div 2)) div 2)
A111890: 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 5
(x - ((((2 mod ((x div 2) + 1)) + x) div 2) div 2))
A282029-A079420: 0 1 2 3 3 4 4 5 6 7 7 8 9 10 10 11
((((((x div (2 + 2)) - 1) div 2) * x) div 2) mod 2)
A232442: 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1
((x div (((((2 + 2) * 2) * 2) - x) * 2)) mod 2)
A249856-A118135: 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1
(x - (((((2 - x) div (2 + 2)) - x) div 2) - 2))
A226720: 2 4 5 7 9 10 12 14 15 17 18 20 22 23 25 27
(((x mod (2 - ((x div (2 + 2)) * x))) div 2) mod 2)
A060838: 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0
(((((1 - x) div ((x div 2) + 2)) * x) div 2) mod 2)
A317991: 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1
(((((1 - x) mod ((x div 2) + 2)) * x) div 2) mod 2)
A288314: 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0
((x div (((x mod ((x mod 2) + 2)) * x) - 2)) mod 2)
A288694: 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0
((x - ((x * x) mod (x - ((2 - x) div 2)))) mod 2)
A309142: 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0
((((x * x) - 1) mod (((x div 2) + x) - 2)) mod 2)
A109700: 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0
((((x * x) div 2) div (((x div 2) + x) - 2)) mod 2)
A236419-A236389-A037804: 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1
(((x + 1) div (2 - (((x div 2) * x) mod 2))) div 2)
A131508: 0 0 0 2 1 1 1 4 2 2 2 6 3 3 3 8
((x div 2) - (x div ((((x div 2) * x) mod 2) + 2)))
A337346-A321516-A294902: 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2
((((((x * x) + 1) div 2) + 1) mod (x + 2)) mod 2)
A285341: 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0
((((1 - x) div ((2 + 2) + 1)) mod (x + 2)) mod 2)
A138328-A095907: 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0
(((((x * x) * (2 + 2)) - 1) div (x + 2)) + 2)
A233779: 1 3 5 9 12 16
((((((x + 2) * x) div 2) + 1) * (x + 2)) div 2)
A188545: 1 3 10
A005997: 1 3 10 20 39 63 100 144 205 275 366 468 595 735 904 1088
((((((2 + 2) + 1) * x) + 1) * (x + 2)) div 2)
A131895: 1 9 22 40 63 91 124 162 205 253 306 364 427 495 568 646
((((((x + 2) + 2) * x) + 1) * (x + 2)) div 2)
A154560: 1 9 26 55 99 161 244 351 485 649 846 1079 1351 1665 2024 2431
(((2 - (((x div 2) - 2) - 2)) div (x + 2)) mod 2)
A099200: 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1
(((2 - ((x * x) div (2 + 2))) div (x + 2)) mod 2)
A120532: 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0
(((((x + 2) * (x + 2)) div 2) * (x + 2)) div 2)
A005996: 2 6 16 30 54 84 128 180 250 330 432 546 686 840 1024 1224
(((((2 - x) - (x div 2)) div 2) mod (x + 2)) div 2)
A345378: 0 0 1 2 2 2 2 2 2 2 2 3 3 3 3 3
((x mod 2) - ((2 - ((x + 2) * (x + 2))) * 2))
A337519: 4 15 28 47 68 95 124 159 196 239 284 335 388 447 508 575
(((((x - 2) * x) * (x - 2)) div (x + 2)) mod 2)
A011721: 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1
((((x + 2) div (2 - (x mod 2))) * (x + 2)) div 2)
A241496: 1 4 4 12 9 24 16 40 25 60 36 84 49 112 64 144
((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)
A082774: 0 0 1 1 2 2 3 4 4 5 6 6 7 8 9 9
((x div 2) - ((((x * x) div 2) mod (x + 2)) mod 2))
A173989: 0 0 1 1 2 1 3 3 4 3 5 5 6 5 7 7
(((x + 2) * 2) - ((x * x) div ((x + 2) + 2)))
A137353: 4 6 8 9 10 12 13 14
((((x div 2) + x) * (2 + 1)) + ((x + 2) * 2))
A092464: 4 9 17 22 30 35 43 48 56 61 69 74 82 87 95 100
(((((x mod 2) + 2) * (1 - x)) div (x + 2)) mod 2)
A284957: 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1
(x - ((x + 2) div (((1 - x) div (x + 2)) - 2)))
A184484: 1 3 4 5 6 8 9 10 12 13 14 16 17 18 20 21
((((x - (x div (2 + 2))) * x) div (x + 2)) + 2)
A248868: 2 2 3 3 4 4 5 6 6 7 8 9 9 10 11 12
((((((x div 2) * x) mod 2) + x) * (x + 2)) div 2)
A079283: 0 1 4 10 12 17
(x - ((((x * x) div 2) div (1 - (x * 2))) - 2))
A183572: 2 3 5 6 8 9 10 11 13 14 15 16 18 19 20 21
((x div 2) - (((2 mod (x + 1)) - (x * 2)) * 2))
A120740: 0 4 5 9 14 18 23 27 32 36 41 45 50 54 59 63
(((x mod ((x div 2) + 1)) div 2) + ((x * 2) * 2))
A004976: 0 4 8 12 16 21 25 29 33 38 42 46 50 55 59 63
((((x + 2) * (x + 1)) div 2) + ((x * 2) * 2))
A246172: 1 7 14 22 31 41 52 64 77 91 106 122 139 157 176 196
((((x div 2) + x) div (2 + 2)) + ((x * 2) * 2))
A172325: 0 4 8 13 17 21 26 30 35 39 43 48 52 56 61 65
(((x - ((x div (0 - 2)) - 1)) * (x div 2)) div 2)
A211539: 0 0 2 3 7 9 15 18 26 30 40 45 57 63 77 84
(x - ((((x - 2) div (2 + 1)) + (x div 2)) div 2))
A261133: 1 2 2 3 3 4 4 5 5 6 7 7 8 9 9 10
(x - ((((1 - x) div (2 + 1)) * (x div 2)) - 2))
A179101: 2 3 5 6 8 11 14
((x mod 2) - (((x div (2 + 1)) - (x div 2)) div 2))
A244145-A086435: 0 1 1 1 1 2 1 2 1 2 1 2 1 2 2 2
(((((x div 2) div (2 + 1)) mod 2) + (x div 2)) div 2)
A307726-A156875: 0 0 0 0 1 1 2 2 2 2 3 3 3 3 3 3
(((((x div 2) mod (2 + 1)) mod 2) + (x div 2)) div 2)
A156078: 0 0 1 1 1 1 1 1 2 2 2 2 3 3 4 4
(1 - ((((x div (2 + 2)) mod 2) - (x div 2)) div 2))
A236678: 1 1 2 2 2 2 2 2 3 3 4 4 4 4 4 4
(x - ((((x div (2 + 2)) mod 2) - (x div 2)) div 2))
A039134: 0 1 3 4 5 6 7 8 10 11 13 14 15 16 17 18
((x * 2) - (((x mod (2 + 2)) + (x div 2)) div 2))
A047340: 0 2 3 4 7 9 10 11 14 16 17 18 21 23 24 25
((((x - ((2 - x) div 2)) - 2) * (x div 2)) div 2)
A211538: 0 0 0 1 3 5 9 12 18 22 30 35 45 51 63 70
((((x * x) div ((x div 2) + 2)) - (x div 2)) div 2)
A181972: 0 0 0 1 1 2 2 3 3 4 4 6 6 7 7 9
(x - (((x div ((x mod 2) + 2)) - (x div 2)) * 2))
A265228: 0 1 2 3 4 7 6 9 8 11 10 15 12 17 14 19
(x - ((((x div 2) - (x * 2)) * (x div 2)) - 2))
A201363: 2 3 7
A271713: 2 3 7 10 18 23 35 42 58 67 87 98 122 135 163 178
(((((x * x) * x) * (x div 2)) * (x div 2)) * 2)
A122658: 0 0 16 54 512 1000 3888 6174 16384 23328 50000 66550 124416 158184 268912 330750
((x - (1 mod (1 - (x * 2)))) div ((x div 2) + 2))
A237261: 0 0 1 2 2 3 3 3 3 4 4 4 4 4 4 4
((((x mod 2) * x) - (x div 2)) * ((x div 2) + 2))
A131723: 0 2 ~3 6 ~8 12 ~15 20 ~24 30 ~35 42 ~48 56 ~63 72
((2 - ((x div 2) mod (2 + 2))) * ((x div 2) mod 2))
A132380: 0 0 1 1 0 0 ~1 ~1 0 0 1 1 0 0 ~1 ~1
((x * 2) - (((x mod 2) - 2) * ((x div 2) mod 2)))
A047553: 0 2 6 7 8 10 14 15 16 18 22 23 24 26 30 31
(((x + 2) * (x + 1)) div (2 - ((x div 2) mod 2)))
A257942: 1 3 12 20 15 21 56 72 45 55 132 156 91 105 240 272
(((((x div 2) + x) div 2) + x) + ((x div 2) mod 2))
A047291: 0 1 4 6 7 8 11 13 14 15 18 20 21 22 25 27
(((((x div 2) + x) div 2) + x) - ((x div 2) mod 2))
A010377: 0 1 2 4 7 8 9 11
A047351: 0 1 2 4 7 8 9 11 14 15 16 18 21 22 23 25
((((((2 + 2) * 2) * 2) * 2) - (x mod 2)) - 2)
A057348-A056998: 30 29 30 29 30 29 30 29 30 29 30 29 30 29 30 29
(((x * 2) div (((2 + 2) * 2) - (x mod 2))) + 2)
A066927: 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6
((((x div (2 + 2)) + 2) div (2 - (x mod 2))) mod 2)
A267129: 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1
((x div (((2 + 1) * 2) + 1)) mod ((x mod 2) + 2))
A277152: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 2
(((2 - x) - (x * 2)) * (x div ((x mod 2) - 2)))
A329404: 0 1 4 21 20 65 48 133 88 225 140 341 204 481 280 645
((((x + 1) * x) * (2 + 1)) + ((x mod 2) * 2))
A129958: 0 8 18 38 60 92 126 170 216 272 330 398 468 548 630 722
((x * x) - ((((x mod 2) - (x * x)) * 2) * 2))
A195148: 0 1 20 41 80 121 180 241 320 401 500 601 720 841 980 1121
((x - (((2 - x) * x) * ((x * x) - 2))) div 2)
A242983: 0 1 1 12 58 175 411 826 1492 2493 3925 5896 8526 11947 16303 21750
(((x div (((2 + 2) * (2 + 1)) + 1)) + x) + 2)
A325044-A105427-A075592-A070776: 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18
(((x div (((2 + 2) * (2 + 1)) - 1)) + x) + 2)
A118844-A085265-A026467: 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18
(((x div (((2 + 2) * (2 + 1)) - 1)) + x) * 2)
A029741: 0 2 4 6 8 10 12 14 16 18 20 24 26 28 30 32
((((((x + 2) + 2) * (2 + 1)) + 1) * x) div 2)
A140672: 0 8 19 33 50 70 93 119 148 180 215 253 294 338 385 435
((((((x + 2) + 2) * (2 + 1)) - 1) * x) div 2)
A059845: 0 7 17 30 46 65 87 112 140 171 205 242 282 325 371 420
(1 - (((x mod ((x div (2 + 1)) + 1)) - x) div 2))
A127763: 1 2 2 2 3 3 4 4 4 5 5 5 6 6 6 7
(((((((x * x) * x) + 1) div 2) + 1) * x) + 2)
A332235: 2 4 12 47
((((x + 1) mod (((2 + 2) * 2) + 1)) + x) + 2)
A160931: 3 5 7 9 11 13 15 17 10 12 14 16 18 20 22 24
((((x div (2 + 1)) * ((2 + 2) + 1)) + x) + 2)
A047455: 2 3 4 10 11 12 18 19 20 26 27 28 34 35 36 42
(((((x * 2) + 1) div ((2 + 2) + 1)) + x) + 2)
A248233-A097432: 2 3 5 6 7 9 10 12 13 14 16 17 19 20 21 23
(((((x + 2) * x) * ((2 + 2) + 1)) + x) div 2)
A279895: 0 8 21 39 62 90 123 161 204 252 305 363 426 494 567 645
(((((x + 2) * x) div ((2 + 2) + 1)) + x) + 2)
A183871: 2 3 5 8 10 14 17 21 26 30 36 41 47 54 60 68
(((((x div 2) + x) div ((2 + 2) + 1)) + x) + 2)
A284676-A247915: 2 3 4 5 7 8 9 11 12 13 15 16 17 18 20 21
(((x - (((1 - x) * (2 + 2)) - 1)) * x) * 2)
A153784: 0 4 28 72 136 220 324 448 592 756 940 1144 1368 1612 1876 2160
(((x - (((2 - x) * (2 + 2)) - 1)) * x) div 2)
A326725: 0 ~1 3 12 26 45 69 98 132 171 215 264 318 377 441 510
(((x div (0 - ((x div (2 + 2)) + 1))) + x) div 2)
A218447: 0 0 0 0 1 1 1 1 2 3 3 3 4 4 5 5
(compr(\x.(1 - (x mod ((x mod (2 + 2)) + 1))),x) * 2)
A345211: 2 4 6 10 14 18 20 22 26 28 30 34 38 42 44 46
((((x mod ((2 - (x mod 2)) * 2)) + 1) * x) div 2)
A186813: 0 1 3 3 2 5 9 7 4 9 15 11 6 13 21 15
((((x div ((2 + 2) + 1)) * (2 + 1)) + x) + 2)
A047423: 2 3 4 5 6 10 11 12 13 14 18 19 20 21 22 26
((((x mod ((x div 2) + 1)) div (2 + 1)) + x) + 2)
A307646-A287519: 2 3 4 5 6 7 8 10 11 12 13 14 15 17 18 19
(x - (((((x div 2) - 1) div (2 + 1)) - x) div 2))
A184624-A184117: 1 2 3 5 6 8 9 11 12 13 15 16 18 19 20 22
((((((x * 2) + 1) * 2) * (2 + 1)) - x) * 2)
A141694: 12 34 56 78 100 122 144 166 188 210 232 254 276 298 320 342
(x - (((x div ((2 + 2) * (2 + 1))) - x) div 2))
A195123-A061054: 0 2 3 5 6 8 9 11 12 14 15 17 18 19 21 22
(x - (((x mod ((2 + 2) * (2 + 1))) - x) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A289234: 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21
((((x mod ((x div 2) + 2)) div (2 + 1)) + x) + 2)
A072226: 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 19
((((((x div 2) + x) + 2) * (2 + 1)) + x) * 2)
A082296: 12 20 34 42 56 64 78 86 100 108 122 130 144 152 166 174
(((x - ((1 - (x * 2)) * (2 + 1))) * x) * 2)
A316466: 0 8 44 108 200 320 468 644 848 1080 1340 1628 1944 2288 2660 3060
(((x - ((1 - (x * 2)) * (2 + 1))) * x) div 2)
A218471: 0 2 11 27 50 80 117 161 212 270 335 407 486 572 665 765
(((((x mod 2) + (x * 2)) * (2 + 1)) + x) + 2)
A113802: 2 12 16 26 30 40 44 54 58 68 72 82 86 96 100 110
(((x - (2 - ((x * 2) * (2 + 1)))) * x) * 2)
A195023: 0 10 48 114 208 330 480 658 864 1098 1360 1650 1968 2314 2688 3090
((((x + 2) * 2) + x) * (((2 + 1) * x) + 2))
A136016: 8 35 80 143 224 323 440 575 728 899 1088 1295 1520 1763 2024 2303
(((x * x) * (x * x)) * (((2 + 1) * x) + 2))
A229147: 0 5 128 891 3584 10625 25920 55223 106496 190269 320000 512435 787968 1171001 1690304 2379375
(((((x div (2 + 1)) + x) div (2 + 1)) + x) + 2)
A186237: 2 3 4 6 7 9 10 12 13 15 16 17 19 20 22 23
(((x - ((((x mod 2) - x) * 2) - 1)) * x) div 2)
A104584: 0 1 7 12 26 35 57 70 100 117 155 176 222 247 301 330
(((((((x - 1) * x) - 1) * x) - 1) * x) div 2)
A171129: 0 ~1 1 21 86 235 519 1001 1756 2871 4445 6589 9426 13091 17731 23505
(((((((x mod 2) + x) * 2) + x) - 1) * x) div 2)
A104585: 0 2 5 15 22 40 51 77 92 126 145 187 210 260 287 345
(((x mod 2) * (x + 2)) + (((x + 1) * x) div 2))
A316966: 0 4 3 11 10 22 21 37 36 56 55 79 78 106 105 137
((((((x * x) * x) * (x * x)) + 1) * x) div 2)
A167963: 0 1 33 366 2050 7815 23331 58828 131076 265725 500005 885786 1492998 2413411 3764775 5695320
(x - (((((x div (2 + 1)) - 1) div 2) - x) div 2))
A288998: 1 2 4 5 6 8 9 11 12 13 15 16 18 19 21 22
((((x div ((2 mod (x + 1)) + 1)) mod 2) + x) div 2)
A194202: 0 1 1 2 2 3 3 3 4 5 5 6 6 6 7 8
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A024658: 0 1 2 3 4 5 6 7 8 9 30 31 32 33 34 35
((((((x div 2) + 1) div (2 + 1)) mod 2) + x) div 2)
A194243: 0 0 1 1 2 3 3 4 4 5 5 5 6 6 7 7
((((((x div 2) - 2) div (2 + 1)) mod 2) + x) div 2)
A194161: 0 1 1 2 2 2 3 3 4 4 5 6 6 7 7 8
(x - ((((x mod ((x div 2) + 1)) div 2) - x) div 2))
A195121: 0 2 3 5 6 7 9 10 12 13 14 16 17 18 20 21
(((((x mod ((2 + 2) + 1)) div 2) div 2) + x) div 2)
A194249: 0 0 1 1 2 2 3 3 4 5 5 5 6 6 7 7
((((((x div (2 + 2)) + 1) div 2) mod 2) + x) div 2)
A217713: 0 0 1 1 2 3 3 4 4 5 5 6 6 6 7 7
((((x - (x div ((2 + 2) * 2))) div 2) + x) + 2)
A246046-A224996: 2 3 5 6 8 9 11 12 13 15 16 18 19 21 22 24
((x div ((((x mod (2 + 2)) - 2) * 2) - x)) mod 2)
A341591-A101040: 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0
(((x * x) + 2) div ((((2 + 2) * 2) + x) + 2))
A127039: 0 0 0 0 1 1 2 3 3 4 5 5 6 7 8 9
(((x - (((1 - x) * (2 + 2)) * 2)) * x) + 2)
A154254: 2 3 22 59 114 187 278 387 514 659 822 1003 1202 1419 1654 1907
(1 - (((((2 - (x div 2)) div 2) div 2) - x) div 2))
A309093: 1 2 2 3 3 4 5 5 6 6 7 7 8 8 9 10
(((((x * 2) mod ((x div 2) + 2)) mod 2) * x) div 2)
A308224: 0 0 1 0 0 0 0 0 0 0 0 5 0 0 7 7
(1 - ((((x mod ((x div 2) + 2)) div 2) - x) div 2))
A248170: 1 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7
(2 - ((((x mod ((x div 2) + 2)) div 2) - x) div 2))
A177876: 2 3 3 4
A134995-A070984: 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 8
(((x div ((2 - ((x div 2) mod 2)) + 2)) + x) div 2)
A257808: 0 0 1 2 2 3 4 4 5 5 6 7 7 8 9 10
((((x - 2) mod (((x div 2) mod 2) + 2)) + x) div 2)
A256991: 0 1 1 2 2 3 3 4 4 5 6 5 6 7 7 8
(1 - (((x div (((x mod 2) - 2) * 2)) * x) div 2))
A140860: 1 2 2 4 3 9
((((((2 + 2) * 2) + x) * (2 + 2)) + x) + 2)
A295750: 34 39
((x * 2) - ((((2 - x) div (2 + 2)) - x) div 2))
A022850: 0 3 5 8 11 13 16 19 21 24 26 29 32 34 37 40
((x * 2) - ((2 - ((x div (2 + 2)) + x)) div 2))
A057843: ~1 2 4 7 10 12 15 17 20 23 25 28 31 33 36 38
(x - ((x * x) div (((x div (2 + 2)) + x) + 2)))
A227568-A097882: 0 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4
((((((x + 2) + 2) * (x + 2)) - 2) * x) + 2)
A229013: 2 15 46 101 186 307 470 681 946 1271 1662 2125 2666 3291 4006 4817
(compr(\x.(((x mod (2 + 1)) * (x div 2)) mod 2),x) + 2)
A131565: 2 3 4 5 6 7 8 10 11 13 14 15 16 17 18 19
(((((x mod (2 + 2)) + (x div 2)) div 2) + x) div 2)
A072490: 0 0 1 2 2 3 4 5 5 5 6 7 7 8 9 10
(((((2 + 1) * x) div ((x div 2) + 2)) + x) div 2)
A317596: 0 1 2 3 3 4 4 5 6 6 7 7 8 8 9 10
(x - ((2 mod (2 - (((x div 2) mod 2) + x))) div 2))
A173905: 0 1 2 3 4 6 8 9 10 12 14 15 16 18 20 21
((((((x * x) div (2 + 1)) + x) div 2) + x) + 2)
A186498: 2 3 5 8 10 13 17 20 24 29 33 38 44 49 55 62
((x * 2) - ((2 mod (2 - ((x + 2) * x))) div 2))
A267461: 0 2 6 12 18 26 34 44 54 66 78 92 106 122 138 156
((x mod 2) - ((x div 2) - (((x + 2) * x) * 2)))
A139597: 0 7 15 30 46 69 93 124 156 195 235 282 330 385 441 504
(((2 div (((2 + 2) * 2) - (x div 2))) + x) div 2)
A180639: 0 0 1 1 2 2 3 3 4 4 5 5 6 7 8 8
((((x + 1) * x) + 1) div (((x div 2) + x) + 2))
A283371: 0 1 1 2 2 3 3 4 5 6 6 7 7 8 9 10
(2 div (((2 + 2) * 2) - (((x mod 2) * x) div 2)))
A236138: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2
(((((x * x) div (2 + 1)) + 2) + 1) div (x + 2))
A025786: 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4
(((((x - 2) * (x - 1)) div 2) + 1) mod (x + 2))
A175630: 0 1 1 2 4 0 3 7 2 7 1 7 0 7 15 7
compr(\x.(1 - (x mod ((x mod (2 + 2)) + 1))),(x + 2))
A325798-A238524-A237287-A237046-A067715: 3 5 7 9 10 11 13 14 15 17 19 21 22 23 25 26
((((x mod 2) - (x div 2)) * (2 + 1)) mod (x + 2))
A336764: 0 0 1 0 0 4 7
(((2 - (x div 2)) + (x div (2 + 1))) div (x + 2))
A321447: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ~1 0
((2 - (x mod ((x mod (2 + 1)) + 2))) div (x + 2))
A304819-A015824-A015703: 1 0 0 0 0 0 0 0 0 0 0 ~1 0 0 0 0
(((x div (1 - ((2 + 2) * 2))) * 2) mod (x + 2))
A005599: 0 1 2 3 4 5 6 7 6 7 8 9 10 11 12 11
compr(\x.(((x div 2) * (x + 1)) mod (2 + 2)),(x + 2))
A229838: 3 5 7 8 9 11 13 15 16 17 19 21 23 24 25 27
((1 mod (((2 - x) * x) + (2 + 2))) mod (x + 2))
A171950: 1 1 1 0 3 4 5 6 7 8 9 10 11 12 13 14
(((((x div (2 + 2)) - x) div 2) * 2) mod (x + 2))
A116939: 0 1 2 1 2 3 2 3 4 3 4 3 4 5 4 5
(((x * x) mod (x - ((2 - x) div 2))) div (x + 2))
A269166-A169673: 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0
(((x div 2) * 2) mod (((x * x) + 2) div (x + 2)))
A184221: 0 0 0 0 1 1 2 1 2 1 2 1 2 1 2 1
(x - (((x - (x div (2 + 1))) * x) div (x + 2)))
A186704: 0 1 1 2 2 3 3 4 4 5 5 5 6
A320297: 0 1 1 2 2 3 3 4 4 5 5 5 6 6 6 7
((((((x + 2) * x) * 2) - 1) * x) * (x + 2))
A196506: 0 15 120 435 1128 2415 4560 7875 12720 19503 28680 40755 56280 75855 100128 129795
((((((x div 2) + x) + 1) div 2) * x) div (x + 2))
A285902: 0 0 1 1 2 2 3 3 4 5 6 6 7 8 9 9
(((((x div (2 + 2)) + 2) + 2) * x) div (x + 2))
A342678: 0 1 2 2 3 3 3 3 4 4 5 5 6 6 6 6
((((x * 2) + 1) mod ((x div 2) + 1)) * (x - 2))
A325689: 0 0 0 1 0 6 4 15 12 28 24 45 40 66 60 91
((2 div (((x + 1) mod (2 + 2)) + 1)) + (x * 2))
A222011: 1 2 4 8
A003485: 1 2 4 8 9 10 12 16 17 18 20 24 25 26 28 32
(((x div (0 - 2)) div ((2 + 2) + 1)) + (x * 2))
A172273: 0 1 3 5 7 9 11 13 15 17 19 20 22 24 26 28
((x div (1 - ((2 + 2) * (2 + 1)))) + (x * 2))
A214657: 0 1 3 5 7 9 11 13 15 17 19 21 22 24 26 28
(((x + 1) * (2 + 1)) - (2 mod (1 - (x * 2))))
A168101: 3 6 10 15 20 25 30 35 40 45 50 55 60 65 70 75
(((2 + 2) div ((x div (2 + 1)) + 2)) + (x * 2))
A287113: 2 4 6 7 9 11 13 15 17 18 20 22 24 26 28 30
((((2 - (x div 2)) * (x + 1)) div 2) + (x * 2))
A292192: 1 4 5 8 8 10
(((x - (x div ((0 - 2) - 2))) div 2) + (x * 2))
A004937: 0 3 5 8 10 13 16 18 21 24 26 29 31 34 37 39
((((((x - 1) div 2) div 2) div 2) mod 2) + (x * 2))
A241071: 1 2 4 6 8 10 12
A248195: 1 2 4 6 8 10 12 14 16 19 21 23 25 27 29 31
(((x * 2) div (1 - ((2 + 2) * 2))) + (x * 2))
A083042-A082977: 0 1 3 5 6 8 10 12 13 15 17 18 20 22 24 25
(((x mod (0 - 2)) mod ((2 + 2) * 2)) + (x * 2))
A168203: 0 9 4 13 8 17 12 21 16 25 20 29 24 33 28 37
((((x div 2) + x) div ((2 + 2) * 2)) + (x * 2))
A172278: 0 2 4 6 8 10 13 15 17 19 21 24 26 28 30 32
(x - (((2 - x) - ((x * 2) * 2)) * (x * 2)))
A195018: 0 7 34 81 148 235 342 469 616 783 970 1177 1404 1651 1918 2205
((((x mod (2 + 2)) + (x div 2)) div 2) + (x * 2))
A174438: 0 2 5 8 9 11 14 17 18 20 23 26 27 29 32 35
(1 - ((x * x) div (1 - ((x div 2) + (x * 2)))))
A165906: 1 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8
(((((2 + 2) * (2 + 1)) + 1) * x) * (x * 2))
A244633: 0 26 104 234 416 650 936 1274 1664 2106 2600 3146 3744 4394 5096 5850
(((((2 + 2) * (2 + 1)) - 1) * x) * (x * 2))
A195323: 0 22 88 198 352 550 792 1078 1408 1782 2200 2662 3168 3718 4312 4950
((((((2 + 2) * 2) * 2) + 1) * x) * (x * 2))
A303302: 0 34 136 306 544 850 1224 1666 2176 2754 3400 4114 4896 5746 6664 7650
((((x mod ((x div 2) + 1)) div 2) + x) + (x * 2))
A276854: 0 3 6 9 12 16 19 22 25 29 32 35 38 42 45 48
(((((x div 2) + x) div (2 + 2)) + x) + (x * 2))
A277722: 0 3 6 10 13 16 20 23 27 30 33 37 40 43 47 50
((((x mod 2) * 2) * ((2 + 2) + 1)) + (x div 2))
A340138-A332177-A317330-A238880-A130858-A107408-A098760: 0 10 1 11 2 12 3 13 4 14 5 15 6 16 7 17
compr(\x.((x + 1) mod ((x div (2 + 2)) + 1)),(x div 2))
A121261: 0 0 1 1 2 2 3 3 5 5 7 7 8 8 11 11
((((x + 1) * (2 + 1)) * (2 + 1)) + (x div 2))
A194152: 9 18 28 37 47 56 66 75 85 94 104 113 123 132 142 151
(x - ((1 - ((2 + 2) * (2 + 1))) * (x div 2)))
A112653: 0 1 13 14 26 27 39 40 52 53 65 66 78 79 91 92
(((((x mod 2) + x) * x) * (2 + 1)) - (x div 2))
A193866: 0 6 11 35 46 88 105 165 188 266 295 391 426 540 581 713
(((1 - (x div 2)) mod ((x * 2) + 1)) + (x div 2))
A163750: 0 1 1 1 10 12 14 16 18 20 22 24 26 28 30 32
((((x * x) + (x mod 2)) * (x + 1)) + (x div 2))
A213496: 0 4 13 41 82 158 255 403 580 824 1105 1469 1878 2386 2947 3623
((((x mod 2) + 2) - (x div (0 - 2))) * (x div 2))
A236203: 0 0 3 5 8 12 15 21 24 32 35 45 48 60 63 77
((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2))
A011371: 0 0 1 1 3 3 4 4 7 7 8 8 10 10 11 11
(((x + 1) mod (((x mod 2) + 1) * 2)) + (x div 2))
A121496: 1 2 2 1 3 4 4 3 5 6 6 5 7 8 8 7
(x mod (((((2 + 2) + 1) * 2) * 2) - (x div 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A053834: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2
((((x - (x div (0 - 2))) * 2) * 2) - (x div 2))
A243520: 0 8 11 19 22 30 33 41 44 52 55 63 66 74 77 85
(x - ((1 - (((2 + 2) * 2) * 2)) * (x div 2)))
A151978: 0 1 17 18 34 35 51 52 68 69 85 86 102 103 119 120
((((((x div 2) * x) mod 2) + x) * 2) + (x div 2))
A100530: 0 2 5 9 10 12 15 19 20 22 25 29 30 32 35 39
((1 mod (((2 + 2) * 2) - (x div 2))) + (x div 2))
A238263: 1 1 2 2 3 3 4 4 5 5 6 6 7 7 7 7
(((((x mod 2) + (x * 2)) + 2) * x) - (x div 2))
A274681: 0 5 11 26 38 63 81 116 140 185 215 270 306 371 413 488
(((((x * 2) - (x mod 2)) + 2) * x) + (x div 2))
A299645: 0 3 13 22 42 57 87 108 148 175 225 258 318 357 427 472
((((x div ((2 + 2) * 2)) + 2) + 1) * (x mod 2))
A053387: 0 3 0 3 0 3 0 3 0 4 0 4 0 4 0 4
(((((x div 2) mod 2) + x) * (2 + 1)) - (x mod 2))
A072065: 0 2 9 11 12 14 21 23 24 26 33 35 36 38 45 47
(((((x + 2) * 2) * 2) * (x + 1)) + (x mod 2))
A188819: 8 25 48 81 120 169 224 289 360 441 528 625 728 841 960 1089
(((((x div (2 + 2)) mod 2) + x) * 2) - (x mod 2))
A131855: 0 1 4 5 10 11 14 15 16 17 20 21 26 27 30 31
((((((x * x) * (2 + 1)) - 1) * x) * x) div 2)
A260810: 0 1 22 117 376 925 1926 3577 6112 9801 14950 21901 31032 42757 57526 75825
((((((x * 2) + 1) * (2 + 1)) + x) * x) div 2)
A186029: 0 5 17 36 62 95 135 182 236 297 365 440 522 611 707 810
((((((x * x) * (x * x)) + 1) * x) * x) div 2)
A168122: 0 1 34 369 2056 7825 23346 58849 131104 265761 500050 885841 1493064 2413489 3764866 5695425
((((x - (x div ((x mod 2) - 2))) * x) * x) div 2)
A309337: 0 1 6 27 48 125 162 343 384 729 750 1331 1296 2197 2058 3375
(((((((x * x) - 1) * x) + 2) * x) * x) div 2)
A101377: 0 1 16 117 496 1525 3816 8281 16192 29241 49600 79981 123696 184717 267736 378225
((((((x + 2) + 2) * (x + 2)) + x) * x) div 2)
A111694: 0 8 26 57 104 170 258 371 512 684 890 1133 1416 1742 2114 2535
(((((x + 2) * x) div (2 + 2)) + (x * x)) * 2)
A195015: 0 2 12 24 44 66 96 128 168 210 260 312 372 434 504 576
((((x + 2) * (x + 1)) div 2) + ((x * x) * 2))
A134238: 1 5 14 28 47 71 100 134 173 217 266 320 379 443 512 586
(((x * x) mod ((x * 2) + 1)) + ((x * x) div 2))
A266223: 0 1 6 6 15 15 28 28 45 45 66 66 91 91 120 120
((((((x * x) * x) + 1) * x) * (x * x)) div 2)
A240129: 0 1 36
A071232: 0 1 36 378 2080 7875 23436 58996 131328 266085 500500 886446 1493856 2414503 3766140 5697000
((((((x * x) * x) - 1) * x) * (x * x)) div 2)
A085744: 0 0 28 351 2016 7750 23220 58653 130816 265356 499500 885115 1492128 2412306 3763396 5693625
(2 - (((x * 2) * 2) div (((x * x) * x) - 2)))
A246505: 2 6 1 2 2
compr(\x.((x mod ((x div ((2 + 2) + 1)) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A053433: 0 1 2 3 4 5 6 7 8 9 10 12 13 16 17 20
((((x - 1) mod (((2 + 2) * 2) + 1)) + 1) * x)
A057147: 0 1 4 9 16 25 36 49 64 81 10 22 36 52 70 90
compr(\x.((x mod ((((x mod 2) - 2) * 2) - 1)) + 1),x)
A324583: 1 2 4 5 6 7 8 11 12 13 14 16 17 18 19 22
compr(\x.((x mod ((2 - ((x div 2) mod 2)) + 1)) - 1),x)
A039256: 0 1 2 3 4 6 7 9 10 11 12 13 14 15 16 18
(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x)
A085959: 0 37 74 111 148 185 222 259 296 333 370 407 444 481 518 555
((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x)
A004963-A004943: 0 47 94 141 188 235 282 329 376 423 470 517 564 611 658 705
((((((2 + 1) * x) - 2) * (2 + 1)) - 1) * x)
A152995: 0 2 22 60 116 190 282 392 520 666 830 1012 1212 1430 1666 1920
((x - ((((1 - x) * 2) * (2 + 1)) - 1)) * x)
A139268: 0 2 18 48 92 150 222 308 408 522 650 792 948 1118 1302 1500
((((((2 + 2) * 2) + x) * (2 + 1)) - 1) * x)
A277976: 0 26 58 96 140 190 246 308 376 450 530 616 708 806 910 1020
(((((x + 1) * 2) * ((x * 2) + 1)) + 1) * x)
A268201: 0 13 62 171 364 665 1098 1687 2456 3429 4630 6083 7812 9841 12194 14895
(((2 - (x div 2)) div ((2 mod (x + 1)) + 1)) + x)
A134986: 2 3 2 3 4 5 5 6 7 8 9 10 10 11 12 13
((((((x * x) + 1) * x) * (x + 1)) + 1) * x)
A152031: 0 5 62 363 1364 3905 9330 19607 37448 66429 111110 177155 271452 402233 579194 813615
compr(\x.(1 - (x mod (2 - (x mod ((0 - 2) - 1))))),x)
A153088: 1 2 3 5 7 8 9 10 11 13 14 15 17 19 20 21
((((((x * x) * (2 + 2)) + 1) * 2) + 1) * x)
A173200: 0 11 70 225 524 1015 1746 2765 4120 5859 8030 10681 13860 17615 21994 27045
((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + x)
A138083: 0 1 2 4 5 6
A140102-A039101: 0 1 2 4 5 6 7 9 10 11 13 14 15 16 18 19
compr(\x.(1 - (x mod ((x mod ((2 + 1) * 2)) + 1))),x)
A141819: 1 2 3 4 5 7 8 9 11 13 14 15 16 17 19 20
(((((((2 + 2) * 2) + x) + 1) * 2) + 1) * x)
A139581: 0 21 46 75 108 145 186 231 280 333 390 451 516 585 658 735
(((x - 1) div ((x mod ((0 - 2) - 2)) - 1)) + x)
A008741: 1 1 1 2 1 4 4 4 1
((x div ((((x mod (2 + 1)) + 2) + 2) + 1)) + x)
A067570: 0 1 2 3 4 5 7
A002855: 0 1 2 3 4 5 7 8 9 10 11 12 14 15 16 18
((((x * 2) + 1) div (((2 + 2) * 2) + 1)) + x)
A039194: 0 1 2 3 5 6 7 8 9 11 12 13 14 16 17 18
((((x - 1) * x) div (((2 + 2) * 2) + 1)) + x)
A023535: 0 1 2 3 5 7 9 11 14 17 20 23 26 30 34 38
((2 div ((x div (((x mod 2) + 2) + 2)) + 1)) + x)
A317334: 2 3 4 5 5 6 7 8 8 10 10 11 12 13 14 15
compr(\x.(((x mod 2) - ((x div 2) mod (2 + 2))) + 1),x)
A047570: 2 4 5 6 7 10 12 13 14 15 18 20 21 22 23 26
((((x div (2 + 1)) + 1) * ((2 + 2) + 1)) + x)
A047574: 5 6 7 13 14 15 21 22 23 29 30 31 37 38 39 45
(((((x mod 2) + x) + 1) div ((2 + 2) + 1)) + x)
A138083: 0 1 2 4 5 6
A039245: 0 1 2 4 5 6 7 8 9 11 12 13 14 16 17 18
((x - (((1 - x) * 2) * ((2 + 2) + 1))) * x)
A051876: 0 1 24 69 136 225 336 469 624 801 1000 1221 1464 1729 2016 2325
compr(\x.(((x mod (2 + 1)) * x) mod ((2 + 2) + 1)),x)
A281746: 0 3 5 6 9 10 12 15 18 20 21 24 25 27 30 33
(compr(\x.((x div 2) mod 2),(x div ((2 + 2) + 1))) + x)
A166274: 0 1 2 3 4 6 7 8 9 10 14 15 16 17 18 20
compr(\x.((x mod (2 + 1)) - (x mod ((2 + 2) + 1))),x)
A004763: 0 1 2 3 4 6 7 8 9 12 13 14 15 16 17 18
((((x * x) * (x * x)) + ((2 + 2) + 1)) * x)
A180355: 0 6 42 258 1044 3150 7806 16842 32808 59094 100050 161106 248892 371358 537894 759450
(((2 - x) mod (x - ((x mod (2 + 2)) - 1))) + x)
A295484: 0 1 2 3 7
A171464: 0 1 2 3 7 7 7 7 11 11 11 11 15 15 15 15
(((((x * x) * (x * x)) * (2 + 2)) + 1) * x)
A069078: 0 5 130 975 4100 12505 31110 67235 131080 236205 400010 644215 995340 1485185 2151310 3037515
((((x * x) + 1) div (((x + 2) * 2) + 1)) + x)
A061723: 0 1 2 3 5 6 8 9 11 12 14 15 17 18 19 21
compr(\x.(1 - ((x * 2) mod (((x div 2) + 2) + 1))),x)
A193406: 1 3 4 7 8 9 10 11 12 13 14 16 17 19 20 21
((((x div ((2 + 2) + 1)) + 1) * (2 + 1)) + x)
A047562: 3 4 5 6 7 11 12 13 14 15 19 20 21 22 23 27
((((x mod ((2 + 2) + 1)) - 1) mod (2 + 1)) + x)
A113790: 2 1 3 5 4 7 6 8 10 9 12 11 13 15 14 17
(((x div (((2 + 1) * 2) + 1)) * (2 + 1)) + x)
A007093: 0 1 2 3 4 5 6 10 11 12 13 14 15 16 20 21
((((x + 1) div ((2 + 2) + 1)) * (2 + 1)) + x)
A295484: 0 1 2 3 7
A047534: 0 1 2 3 7 8 9 10 11 15 16 17 18 19 23 24
((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) + x)
A030118: 1 1 2 4 6 7 7 7 8 10 12 13 13 13 14 16
(((x - ((x div 2) mod (2 + 1))) div (2 + 1)) + x)
A047420-A039075: 0 1 2 3 4 6 8 9 10 11 12 14 16 17 18 19
(((((2 + 2) * 2) * (x + 1)) * (2 + 1)) + x)
A044482: 24 49 74 99 124 149 174 199 224 249 274 299 324 349 374 399
((((1 - (x div 2)) mod (x + 1)) div (2 + 1)) + x)
A039192: 0 1 2 3 5 6 7 9 10 11 12 13 14 16 17 18
(((((x + 2) * x) * (x + 1)) div (2 + 1)) + x)
A145069: 0 3 10 23 44 75 118 175 248 339 450 583 740 923 1134 1375
(((((x + 1) div (2 + 1)) * 2) div (2 + 1)) + x)
A039198: 0 1 2 3 4 6 7 8 10 11 12 13 14 15 17 18
(((((x div (2 + 1)) + 2) * 2) div (2 + 1)) + x)
A039159-A003251: 1 2 3 5 6 7 8 9 10 12 13 14 16 17 18 19
(((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x)
A138083: 0 1 2 4 5 6
A004128: 0 1 2 4 5 6 8 9 10 13 14 15 17 18 19 21
((x - ((1 - ((2 + 2) * 2)) * (2 + 1))) * x)
A132763: 0 22 46 72 100 130 162 196 232 270 310 352 396 442 490 540
((x - (1 - (((2 + 2) * 2) * (2 + 1)))) * x)
A132765: 0 24 50 78 108 140 174 210 248 288 330 374 420 468 518 570
((x - (2 - (((2 + 2) * 2) * (2 + 1)))) * x)
A132764: 0 23 48 75 104 135 168 203 240 279 320 363 408 455 504 555
((x - (((1 - x) * (2 + 2)) * (2 + 1))) * x)
A161935: 0 1 28 81 160 265 396 553 736 945 1180 1441 1728 2041 2380 2745
(((((x div 2) * (x - 2)) div 2) div (2 + 1)) + x)
A010385: 0 1 2 3 4 6 8 9 12 13 16 18
((((((x div 2) mod 2) + x) div 2) * (2 + 1)) - x)
A215415: 0 ~1 1 3 2 1 3 5 4 3 5 7 6 5 7 9
((((((x * x) div 2) * x) * 2) div (2 + 1)) + x)
A181946: 0 1 4 11 25 45
(((((x div 2) div (2 + 1)) + x) div (2 + 1)) + x)
A138083: 0 1 2 4 5 6
A247964: 0 1 2 4 5 6 8 9 11 12 13 15 16 18 19 20
((((((2 + 2) * 2) * 2) + x) + (2 + 1)) * x)
A132762: 0 20 42 66 92 120 150 182 216 252 290 330 372 416 462 510
((2 div (((2 + 1) * 2) - (x div (2 + 1)))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A329481: 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 17
((2 div (((2 + 1) * 2) - (x div (2 + 1)))) * x)
A308919: 0 0 0 0 0 0 0 0 0 0 0 0 12 13 14 30
(((((((2 + 1) * 2) + 1) * x) * 2) - 1) * x)
A195024: 0 13 54 123 220 345 498 679 888 1125 1390 1683 2004 2353 2730 3135
((x mod ((((x div (2 + 2)) + x) div 2) + 1)) + x)
A138083: 0 1 2 4 5 6
A172276: 0 1 2 4 5 6 8 9 10 12 13 15 16 17 19 20
((x - (((1 - x) * x) * ((x * 2) - 1))) * x)
A344866: 0 1 16 99 352 925 2016 3871 6784 11097 17200 25531 36576 50869 68992 91575
((((((2 + 2) * 2) * (2 + 1)) + x) + 1) * x)
A132767: 0 26 54 84 116 150 186 224 264 306 350 396 444 494 546 600
(((((((2 + 2) * 2) * 2) * 2) + x) - 1) * x)
A132773: 0 32 66 102 140 180 222 266 312 360 410 462 516 572 630 690
((1 - (x mod (x - (((x - 2) * x) + 1)))) + x)
A185092: 1 2 3 4 6 12
((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) + x)
A084689: 0 1 2 3 4 5 6 7 9
A031876: 0 1 2 3 4 5 6 7 9 11 13 15 17 19 21 23
(((1 - (((x div 2) * x) div 2)) div (x + 1)) + x)
A226142: 1 1 2 3 3 4 4
A076895: 1 1 2 3 3 4 4 5 6 7 7 8 9 10 10 11
((2 - ((((1 - x) * x) div 2) * (x - 1))) * x)
A117665: 0 2 6 24 80 210 462 896 1584 2610 4070 6072 8736 12194 16590 22080
((((x * x) div 2) - ((2 - x) * (x - 1))) * x)
A212680: 0 0 4 18 56 120 228 378 592 864 1220 1650 2184 2808 3556 4410
(((((x * x) * (x * x)) * (x * x)) + 1) * x)
A190578: 0 2 130 2190 16388 78130 279942 823550 2097160 4782978 10000010 19487182 35831820 62748530 105413518 170859390
(((((x * x) * (x * x)) * (x * x)) - 1) * x)
A133499: 0 0 126 2184 16380 78120 279930 823536 2097144 4782960 9999990 19487160 35831796 62748504 105413490 170859360
((((x + 1) div (((2 + 1) * 2) + 1)) * 2) + x)
A039109: 0 1 2 3 4 5 8 9 10 11 12 13 14 17 18 19
((((x + 2) div (((2 + 1) * 2) + 1)) * 2) + x)
A039106: 0 1 2 3 4 7 8 9 10 11 12 13 16 17 18 19
compr(\x.((x mod ((((x div 2) + 1) div 2) + 1)) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A193096: 0 1 2 3 4 5 6 7 8 9 10 12 13 15 16 17
((((((x + 2) + 2) + 2) * (2 + 1)) + 2) * x)
A140689: 0 23 52 87 128 175 228 287 352 423 500 583 672 767 868 975
(((((x div 2) + x) + 2) * ((x + 1) div 2)) + x)
A271675: 0 4 7 15 20 32 39 55 64 84 95 119 132 160 175 207
((((x - (x mod ((0 - 2) - 1))) div 2) div 2) + x)
A171948-A045749: 0 1 2 3 5 6 7 9 10 11 13 14 15 16 17 18
((((((x + 1) div 2) div (2 + 1)) * 2) * 2) + x)
A135210: 0 1 2 3 4 9 10 11 12 13 14 19 20 21 22 23
((((x mod (2 + 2)) + ((2 + 1) * 2)) * 2) - x)
A004453: 12 13 14 15 8 9 10 11 4 5 6 7 0 1 2 3
(((1 - x) div (((x mod (2 + 1)) + 2) + 2)) + x)
A109401: 0 1 1 2 3 4 4 5 6 7 8 9 9 10 11 11
(((((2 - (x div 2)) mod (x + 1)) div 2) div 2) + x)
A067570: 0 1 2 3 4 5 7
A039263: 0 1 2 3 4 5 7 8 9 11 12 13 14 15 16 17
((((x - ((x mod (2 + 1)) div 2)) div 2) div 2) + x)
A099354: 0 1 2 3 5 6 7 8 9 11 12 13 15 16 17 18
((x - (((1 - ((2 + 2) * 2)) * 2) * 2)) * x)
A132770: 0 29 60 93 128 165 204 245 288 333 380 429 480 533 588 645
((x - ((1 - (((2 + 2) * 2) * 2)) * 2)) * x)
A132772: 0 31 64 99 136 175 216 259 304 351 400 451 504 559 616 675
((x * x) div (((((2 + 2) * 2) * 2) * 2) - x))
A257594: 0 0 0 0 0 0 1 1 2 3 4 5 7 8 10
(((x div (((x div (2 + 2)) + 2) + 2)) * 2) + x)
A039195: 0 1 2 3 4 7 8 9 10 11 12 13 14 15 18 19
((x div ((((x div (2 + 2)) mod 2) + 2) + 2)) + x)
A039257: 0 1 2 3 4 6 7 8 10 11 12 13 14 15 16 18
((x div ((((x div (2 + 2)) mod 2) + 2) * 2)) + x)
A067570: 0 1 2 3 4 5 7
A039262: 0 1 2 3 4 5 7 8 10 11 12 13 14 15 16 17
((((x - ((x div (2 + 2)) mod 2)) div 2) div 2) + x)
A039149: 0 1 2 3 4 6 7 8 10 11 12 13 14 16 17 18
((x div ((((x div 2) mod (2 + 2)) + 2) + 2)) + x)
A039266-A039205: 0 1 2 3 4 5 6 8 10 11 12 13 14 15 16 17
((((x - ((x div 2) mod (2 + 2))) div 2) div 2) + x)
A039154: 0 1 2 3 4 5 6 8 10 11 12 13 14 15 16 18
((x - ((((1 - x) * (2 + 2)) * 2) * 2)) * x)
A240129: 0 1 36
A282853: 0 1 36 105 208 345 516 721 960 1233 1540 1881 2256 2665 3108 3585
(((x * 2) div (((x div (2 + 2)) + 2) + 2)) + x)
A081688: 0 1 3 4 5 7 8 9 10 12 13 14 15 16 18 19
((((x div 2) - ((x div (2 + 2)) mod 2)) div 2) + x)
A067570: 0 1 2 3 4 5 7
A039152: 0 1 2 3 4 5 7 8 10 11 12 13 14 15 17 18
compr(\x.((((x * x) mod ((x div 2) + 2)) - 2) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A159452: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 20
(((((x - 2) mod ((x mod 2) + 2)) + 2) * 2) + x)
A155875: 4 9 6 9 8 9 10 15 12 15 14 15 16 21 18 21
((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A071980: 0 1 2 3 4 5 6 7 8 9 11 13 15 17 19 21
compr(\x.(x mod (x - ((x - 1) mod ((2 + 2) * 2)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A319725: 0 1 2 3 4 5 6 7 8 9 17 25 33 41 49 57
compr(\x.(((x div 2) * (x - 2)) mod ((2 + 2) * 2)),x)
A329952: 0 1 2 8 10 16 17 18 24 26 32 33 34 40 42 48
((((x + 1) * x) + 1) div (((2 + 2) * 2) + x))
A127036: 0 0 0 1 1 2 3 3 4 5 6 7 7 8 9 10
(2 div (((x * x) - 2) mod (((2 + 2) * 2) + x)))
A243827: 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0
(((((((2 + 2) + 1) * x) + 2) * 2) * 2) - x)
A144619: 8 27 46 65 84 103 122 141 160 179 198 217 236 255 274 293
(((((2 - (x div 2)) mod (x + 2)) div 2) div 2) + x)
A067570: 0 1 2 3 4 5 7
A039201: 0 1 2 3 4 5 7 9 10 11 12 13 14 15 16 18
(((((x * x) - 2) div ((x + 2) + 2)) + 2) * x)
A119640: 0 1 4 9 12 20 30 42 56 72 90 99 120 143 168 195
(((2 - (x * x)) div (((x + 2) + 2) + 2)) + x)
A325678: 0 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4
(((((x div (2 + 2)) mod 2) + x) div (2 + 2)) + x)
A039144: 0 1 2 3 5 6 7 9 10 11 12 13 15 16 17 19
(((((x div 2) mod (2 + 2)) + x) div (2 + 2)) + x)
A138083: 0 1 2 4 5 6
A039138: 0 1 2 4 5 6 8 9 10 11 12 14 15 16 18 19
((((x * x) div (x - ((2 - x) div 2))) * 2) - x)
A330559: 0 1 2 1 2 1 2 1 2 3 4 3 4 3 4 5
((((2 - x) * (x div 2)) div ((x + 2) + 2)) + x)
A195124: 0 1 2 2 3 4 4 5 6 6 7 8 8 9 9 10
(((((x div (2 + 2)) mod 2) + (x div 2)) div 2) + x)
A039143: 0 1 2 3 5 6 8 9 10 11 12 13 15 16 18 19
((((((2 + 2) * 2) * (2 + 1)) + x) + 2) * x)
A132768: 0 27 56 87 120 155 192 231 272 315 360 407 456 507 560 615
((((((x mod 2) + x) div (2 + 1)) + x) * 2) + x)
A246976: 0 3 6 11 14 19 22 25 28 33 36 41 44 47 50 55
(((((x mod ((x div 2) + 1)) div 2) + x) div 2) + x)
A066096: 0 1 3 4 6 8 9 11 12 14 16 17 19 21 22 24
(((2 div ((((2 + 2) * 2) * 2) - x)) * 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A154125: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 19
((x - (((x - ((2 + 2) * 2)) * x) * 2)) * x)
A015234: 0 15 52 99 144 175 180 147 64 ~81 ~300 ~605 ~1008 ~1521 ~2156 ~2925
((x - ((((2 - x) + (2 + 2)) * x) * 2)) * x)
A015245: 0 ~9 ~28 ~45 ~48 ~25 36 147 320 567 900 1331 1872 2535 3332 4275
((((((2 + 2) + 1) * (x mod 2)) + x) * 2) + x)
A168210: 0 13 6 19 12 25 18 31 24 37 30 43 36 49 42 55
((1 mod ((2 + 1) - (((x mod 2) * x) * 2))) + x)
A118402: 1 1 3 1 5 ~1 7 ~3 9 ~5 11 ~7 13 ~9 15 ~11
((((x mod ((0 - 2) - 1)) + 1) mod (x + 2)) + x)
A325909: 1 3 2 4 9 5 7 15 8 10 21 11 13 27 14 16
((((((2 + 2) * 2) * 2) + 1) * (x div 2)) + x)
A151979: 0 1 19 20 38 39 57 58 76 77 95 96 114 115 133 134
(((x * x) div (((2 + 2) * 2) + (x div 2))) + x)
A047893: 0 1 2 4 5 7 9 11 13 15 17 20 22 25 27 30
(((2 + 1) div (((2 + 2) * 2) - (x div 2))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A333126: 0 1 2 3 4 5 6 7 8 9 11 12 13 14 17 18
(((((x div 2) + (x * 2)) + 2) * (x div 2)) + x)
A195162: 0 1 9 12 28 33 57 64 96 105 145 156 204 217 273 288
((x + 1) div (2 - (x mod (2 - ((x mod 2) * x)))))
A273943: 0 1 1 2 2 2 3 1 4 1 5 1 6 1 7 1
((x - (((((2 + 2) * 2) - x) * x) * 2)) * x)
A015247: 0 ~13 ~44 ~81 ~112 ~125 ~108 ~49 64 243 500 847 1296 1859 2548 3375
((((((2 + 1) * 2) * (2 + 1)) + 1) * x) * x)
A244631: 0 19 76 171 304 475 684 931 1216 1539 1900 2299 2736 3211 3724 4275
((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * x)
A244632: 0 23 92 207 368 575 828 1127 1472 1863 2300 2783 3312 3887 4508 5175
(((((x - ((2 + 1) * 2)) * 2) - 1) * x) * x)
A015246: 0 ~11 ~36 ~63 ~80 ~75 ~36 49 192 405 700 1089 1584 2197 2940 3825
(((((((x * x) div 2) * 2) * 2) + 1) * x) * x)
A240129: 0 1 36
A275496: 0 1 36 153 528 1225 2628 4753 8256 13041 20100 29161 41616 56953 77028 101025
((((((2 + 2) * 2) + 1) * (2 + 1)) + x) * x)
A132769: 0 28 58 90 124 160 198 238 280 324 370 418 468 520 574 630
((((x - (x div ((0 - 2) - 2))) div 2) + x) * x)
A050508: 0 2 6 15 24 40 60 77 104 135 160 198 228 273 322 360
((x mod (((x - 1) mod ((2 + 2) * 2)) - x)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A122481-A043269: 0 1 2 3 4 5 6 7 8 9 2 4 6 8 10 12
(((1 - (x * x)) div (((2 + 2) * 2) + x)) + x)
A034463: 0 1 1 2 2 3 3 3 4 4 4 4 4 5 5 5
(((x - (((2 - x) * x) * (x - 2))) * x) * x)
A079503: 0 2 8 54 320 1250 3672 8918 18944 36450 65000 109142 174528 268034 397880 573750
((((x * 2) + 1) * ((2 + 2) + 1)) + (x * x))
A134594: 5 16 29 44 61 80 101 124 149 176 205 236 269 304 341 380
((((x * x) div 2) * ((2 + 2) + 1)) + (x * x))
A195145: 0 1 14 29 56 85 126 169 224 281 350 421 504 589 686 785
((((x div 2) + 1) * ((x * 2) + 1)) + (x * x))
A213399: 1 4 14 23 43 58 88 109 149 176 226 259 319 358 428 473
(1 - ((((x * x) * x) * (x * x)) * (x * x)))
A024005: 1 0 ~127 ~2186 ~16383 ~78124 ~279935 ~823542 ~2097151 ~4782968 ~9999999 ~19487170 ~35831807 ~62748516 ~105413503 ~170859374
loop(\(x,i).loop(\(x,i).loop(\(x,i).(x * 2),i,x),i,x),(x - 1),1)
A125791: 1 1 2 16 1024 1048576 34359738368 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),i,1) div (if x <= 0 then 1 else x)),x,1)
A006882: 1 1 2 3 8 15 48 105 384 945 3840 10395 46080 135135 645120 2027025
loop(\(x,i).loop(\(x,i).(i * x),loop(\(x,i).(x * 2),i,1),x),x,1)
A261125: 1 2 48 1935360 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(i * x),i,x),i,1) + x),x,1)
A152690: 1 2 4 16 304 34864 24918064 125436246064 5056710181206064 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).loop(\(x,i).(i * x),i,x),(i * 2),x),x,1)
A306635: 1 2 576 14332723200 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((x div (if i <= 0 then 1 else i)) * x),x,i),x,1)
A046882: 1 1 4 46656 4611686018427387903
loop(\(x,i).(x - i),x,loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else 2)))
A080522: 1 3 5 10 22 49 107 228 476 979 1993 4030 8114 16293 32663 65416
(x - loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x))
A342126: 0 1 2 3 4 4 6 7 8 8 8 8 12 12 14 15
loop(\(x,i).(loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1),x,x)
A065176: 0 2 2 4 4 2 2 8 8 2 2 4 4 2 2 16
compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x),x)
A077436-A023758: 0 1 2 3 4 6 7 8 12 14 15 16 24 28 30 31
(if (if (x mod ((2 + 2) * (2 + 1))) <= 0 then x else 0) <= 0 then 1 else 0)
A307090-A267959-A214020-A155454-A114213-A108358-A065413: 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1
(if (if (((x div 2) + x) mod (2 + 2)) <= 0 then x else 0) <= 0 then 1 else 0)
A307421: 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1
(if (x mod ((x mod (2 + 2)) + 2)) <= 0 then (if x <= 0 then 0 else 1) else 0)
A220400: 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1
(if (((x div 2) * x) mod (2 + 2)) <= 0 then (if x <= 0 then 0 else 1) else 0)
A118605: 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 0 else (2 + 1)) else 0)
A171063: 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0
(if (x mod 2) <= 0 then (if x <= 0 then 1 else ((x div 2) div (2 + 1))) else 0)
A341981-A219203: 1 0 0 0 0 0 1 0 1 0 1 0 2 0 2 0
(if (x - 1) <= 0 then x else (if (x mod 2) <= 0 then ((x * 2) + 1) else 0))
A266222: 0 1 5 0 9 0 13 0 17 0 21 0 25 0 29 0
(loop(\(x,i).((x + 1) * 2),x,0) - (if (2 - x) <= 0 then 1 else 0))
A091270: 0 2 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533
loop(\(x,i).((if (x mod 2) <= 0 then (i * i) else 1) + x),(x + 1),0)
A140148: 1 2 11 12 37 38 87 88 169 170 291 292 461 462 687 688
loop(\(x,i).loop(\(x,i).(((i + 2) * i) + x),i,x),(x + 1),0)
A005701: 3 14 40 90 175 308 504 780 1155 1650 2288 3094 4095 5320 6800 8568
loop(\(x,i).(((if (i mod 2) <= 0 then 1 else i) * i) + x),(x + 1),0)
A136047: 1 3 12 16 41 47 96 104 185 195 316 328 497 511 736 752
loop(\(x,i).(x * 2),x,loop(\(x,i).((i * i) + x),(x + 1),0))
A014483: 1 10 56 240 880 2912 8960 26112 72960 197120 518144 1331200 3354624 8314880 20316160 49020928
loop(\(x,i).(loop(\(x,i).(i * x),i,(i * i)) + x),(x + 1),0)
A206816: 1 9 63 447 3447 29367 276327 2856807 32250087 395130087 5225062887 74201293287 1126567808487 18213512883687 312440245683687 5668674457011687
loop(\(x,i).(i * x),x,loop(\(x,i).((x * 2) + 1),(x - 1),0))
A052665: 0 0 2 18 168 1800 22320 317520 5120640 92534400 1854316800 40834886400 980516275200 25499650176000 714077383219200 21423629170944000
(if (x mod 2) <= 0 then 1 else loop(\(x,i).((x + 2) * 2),(x - 1),0))
A277799: 1 0 1 12 1 60 1 252 1 1020 1 4092 1 16380 1 65532
loop(\(x,i).(((2 - x) * 2) + 1),(x - 1),(if x <= 0 then 1 else 0))
A140360: 1 0 5 ~5 15 ~25 55 ~105 215 ~425 855 ~1705 3415 ~6825 13655 ~27305
((loop(\(x,i).((x + 1) * x),x,1) * 2) + (if x <= 0 then 1 else 0))
A127690: 3 4 12 84 3612 6526884 21300113901612 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x div 2),2) + (if x <= 0 then 1 else 0))
A225367: 3 2 6 6 18 18 54 54 162 162 486 486 1458 1458 4374 4374
((loop(\(x,i).((2 + 1) * x),x,2) + 2) + (if x <= 0 then 1 else 0))
A198635: 5 8 20 56 164 488 1460 4376 13124 39368 118100 354296 1062884 3188648 9565940 28697816
loop(\(x,i).((((x + 2) * 2) + 1) * 2),x,(if x <= 0 then 1 else 0))
A086462: 1 10 50 210 850 3410 13650 54610 218450 873810 3495250 13981010 55924050 223696210 894784850 3579139410
(1 - (1 mod loop(\(x,i).((2 - x) * 2),x,(if x <= 0 then 1 else 0))))
A282579: 1 0 4 0 20 0 84 0 340 0 1364 0 5460 0 21844 0
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,(if x <= 0 then 1 else 0))
A103455: 1 4 24 124 624 3124 15624 78124 390624 1953124 9765624 48828124 244140624 1220703124 6103515624 30517578124
(if (x mod 2) <= 0 then (if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) else 0)
A230103-A045843: 1 0 1 0 1 0 1 0 1 0 2 0 2 0 2 0
(if x <= 0 then 1 else (if (x - 1) <= 0 then (((2 + 2) + 1) * 2) else 0))
A285476: 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(if x <= 0 then 1 else (if (x mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 0))
A029696: 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0
(if x <= 0 then 1 else (if (((2 + 2) + 1) mod (x + 1)) <= 0 then 2 else 0))
A071164-A028718-A028714-A028710-A028706-A028661-A028653-A028645-A028637-A028629: 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 0)
A086008-A067898: 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0
(if (x mod ((x mod (2 + 1)) + 2)) <= 0 then (if x <= 0 then 1 else 2) else 0)
A160498: 1 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0
(if ((x - (if (x - 2) <= 0 then 2 else 0)) mod (2 + 2)) <= 0 then 2 else 0)
A262682: 0 0 2 0 2 0 0 0 2 0 0 0 2 0 0 0
(if (2 - x) <= 0 then (if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) else 0)
A021554: 0 0 1 8 1 8 1 8 1 8 1 8 1 8 1 8
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else (2 + 2)) else 0)
A341880: 1 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else (x div (2 + 2))) else 0)
A035444: 1 0 0 0 1 0 0 0 2 0 0 0 3 0 0 0
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 0 else (x + 2)) else 0)
A270035: 0 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0
(if ((if x <= 0 then 1 else x) mod ((2 + 2) * 2)) <= 0 then (x - 2) else 0)
A173453: 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0
loop(\(x,i).(i + x),((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),0)
A111074: 3 0 6 1 10 3 15 6 21 10 28 15 36 21 45 28
loop(\(x,i).((i * x) - loop(\(x,i).((i * x) - 1),i,0)),x,0)
A114870: 0 1 5 25 141 911 6703 55581 513929 5248891 58724211 714554633 9397715341 132870076119 2009977939271 32396622193141
loop(\(x,i).(x - loop(\(x,i).((x - (i - 1)) * i),i,0)),x,0)
A119913: 0 0 2 14 74 394 2344 16036 125628 1112028 10976118 119481218 1421542550 18348340022 255323504812 3809950976872
loop(\(x,i).(((if x <= 0 then 1 else x) * 2) * ((2 + 2) + 1)),x,0)
A178500: 0 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000 100000000000 1000000000000 10000000000000 100000000000000 1000000000000000
(if (x - 2) <= 0 then (if (x mod 2) <= 0 then ((x + 2) + 1) else x) else 0)
A318382: 3 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((x * x) * 2),1,loop(\(x,i).((x * 2) + 1),x,0))
A087291: 0 2 18 98 450 1922 7938 32258 130050 522242 2093058 8380418 33538050 134184962 536805378 2147352578
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).((x * 2) + 1),x,0))
A134057: 0 0 3 21 105 465 1953 8001 32385 130305 522753 2094081 8382465 33542145 134193153 536821761
loop(\(x,i).(i * x),(x - 1),loop(\(x,i).((x * 2) + 1),x,0))
A029767: 0 1 3 14 90 744 7560 91440 1285200 20603520 371226240 7428153600 163459296000 3923502105600 102017281766400 2856571067750400
(loop(\(x,i).(x * x),x,2) - loop(\(x,i).((x * 2) + 1),x,0))
A119564: 2 3 13 249 65521 4294967265 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x * 2) + 1),x,0))
A248225: 0 3 27 189 1215 7533 45927 277749 1673055 10058013 60407127 362619909 2176250895 13059099693 78359381127 470170635669
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).((x * 2) - 1),x,0))
A006516: 0 1 6 28 120 496 2016 8128 32640 130816 523776 2096128 8386560 33550336 134209536 536854528
(loop(\(x,i).(i * x),x,1) - loop(\(x,i).((x * 2) - 1),x,0))
A127986: 1 2 5 13 39 151 783 5167 40575 363391 3629823 39918847 479005695 6227028991 87178307583 1307674400767
(loop(\(x,i).(x * x),x,2) - loop(\(x,i).((x * 2) - 1),x,0))
A119550: 2 5 19 263 65551
A119563: 2 5 19 263 65551 4294967327 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A238976: 0 1 16 169 1600 14641 132496 1194649 10758400 96845281 871666576 7845176329 70607118400 635465659921 5719195722256 51472775849209
loop(\(x,i).(i * x),x,loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A052698: 0 1 8 78 960 14520 262080 5508720 132249600 3571102080 107136691200 3535550726400 127280305152000 4963938127948800 208485488552140800 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x * x) + 2),2,2) * x) + 1),x,0)
A218741: 0 1 39 1483 56355 2141491 81376659 3092313043 117507895635 4465300034131 169681401296979 6447893249285203 245019943472837715 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * x),2,(2 + 2)) * x) + 1),x,0)
A218723: 0 1 257 65793 16843009 4311810305 1103823438081 282578800148737 72340172838076673 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x + 1) * x),2,2) * x) + 1),x,0)
A218745: 0 1 43 1807 75895 3187591 133878823 5622910567 236162243815 9918814240231 416590198089703 17496788319767527 734865109430236135 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(i * x),i,1) - 1) div (x + 1)),x,0)
A128882: 0 0 1 2 7 14 47 104 383 944 3839 10394 46079 135134 645119 2027024
loop(\(x,i).loop(\(x,i).(((i * i) + x) * i),x,(x + 1)),x,0)
A055590: 0 1 3 81 4611686018427387903
(loop(\(x,i).(i * x),x,(x + 1)) + (if (x - 1) <= 0 then x else 0))
A338112: 1 3 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 20922789888000
loop(\(x,i).(x * x),(x - 1),loop(\(x,i).((i * x) + 1),x,0))
A321618: 0 1 9 10000
loop(\(x,i).(x - (loop(\(x,i).((2 + 1) * x),i,x) - 1)),x,0)
A176338: 0 1 ~7 183 ~14639 3542639 ~2579041191 5637784043527 ~36983863325537119 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if x <= 0 then 1 else (x + 2)) + (x div (i + 1))),x,0)
A130262: 0 1 3 5 8 11 14 17 20 24 28 32 36 40 44 48
loop(\(x,i).((x * x) + 1),1,loop(\(x,i).((x + 1) * 2),x,0))
A273539: 1 5 37 197 901 3845 15877 64517 260101 1044485 4186117 16760837 67076101 268369925 1073610757 4294705157
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((x + 1) * 2),x,0))
A129868: 0 5 27 119 495 2015 8127 32639 130815 523775 2096127 8386559 33550335 134209535 536854527 2147450879
(1 - loop(\(x,i).(x * 2),x,loop(\(x,i).((x - 1) * 2),x,0)))
A092440: 1 5 25 113 481 1985 8065 32513 130561 523265 2095105 8384513 33546241 134201345 536838145 2147418113
loop(\(x,i).(((i mod 2) + (x * 2)) * (if x <= 0 then 1 else 2)),x,0)
A117615: 0 1 4 18 72 290 1160 4642 18568 74274 297096 1188386 4753544 19014178 76056712 304226850
loop(\(x,i).(if x <= 0 then 1 else (((x + 2) * x) * (2 + 2))),x,0)
A060612: 0 1 12 672
loop(\(x,i).(if x <= 0 then 1 else ((((2 + 2) + 1) * x) * 2)),x,0)
A178501: 0 1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000 100000000000 1000000000000 10000000000000 100000000000000
loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A248216: 0 4 32 208 1280 7744 46592 279808 1679360 10077184 60465152 362795008 2176778240 13060685824 78364147712 470184951808
loop(\(x,i).((loop(\(x,i).(i * x),(x - 2),1) + x) + 2),x,0)
A274999: 0 3 6 32 4611686018427387903
loop(\(x,i).(i + x),((if (x - 2) <= 0 then 1 else (x - 2)) + x),0)
A299017: 1 3 6 10 21 36 55 78 105 136 171 210 253 300 351
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).(1 - (x * 2)),x,0))
A084152: 0 0 1 3 15 55 231 903 3655 14535 58311 232903 932295 3727815 14913991 59650503
loop(\(x,i).(if (x div (2 + 2)) <= 0 then (i + 1) else (x * 2)),x,0)
A244750: 0 2 3 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),x,0)
A210448: 0 3 15 57 195 633 1995 6177 18915 57513 174075 525297 1582035 4758393 14299755 42948417
loop(\(x,i).(0 - ((if (i - 2) <= 0 then 1 else x) + (x * 2))),x,0)
A141413: 0 ~1 1 ~3 9 ~27 81 ~243 729 ~2187 6561 ~19683 59049 ~177147 531441 ~1594323
loop(\(x,i).(0 - x),x,(1 - loop(\(x,i).(i - (x * 2)),x,0)))
A113954: 1 0 1 2 3 8 13 30 55 116 225 458 907 1824 3637 7286
loop(\(x,i).(0 - x),x,loop(\(x,i).((i * i) - (x * 2)),x,0))
A232603: 0 ~1 2 ~5 6 ~13 10 ~29 6 ~69 ~38 ~197 ~250 ~669 ~1142 ~2509
loop(\(x,i).((i - (if (i - x) <= 0 then (i * 2) else 0)) + x),x,0)
A008344: 0 1 3 0 4 9 3 10 2 11 1 12 0 13 27 12
loop(\(x,i).(loop(\(x,i).((x * x) * 2),(i - 1),1) + x),x,0)
A072639: 0 1 3 11 139 32907 2147516555 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then x else ((x div 2) + 1)) + x),x,0)
A048328: 0 1 2 4 8 13 26 40 80 121 242 364 728 1093 2186 3280
loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),x,0)
A001705: 0 1 5 26 154 1044 8028 69264 663696 6999840 80627040 1007441280 13575738240 196287356160 3031488633600 49811492505600
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + x),x,0)
A099953: 0 1 4 19 124 1069 11464 146599 2173624 36633049 691362124 14440672699 330674815924 8236528396549 221694575073424 6411977928702799
loop(\(x,i).(loop(\(x,i).(((i div 2) + 1) * x),i,1) - x),x,0)
A121746: 0 1 1 3 9 27 117 459 2421 11979 74421 443979 3184821 22216779 180996021 1444706379
loop(\(x,i).((if x <= 0 then 2 else (x div ((x mod 2) + 2))) + x),x,0)
A171826: 0 2 3 4 6 9 12 18 27
loop(\(x,i).((if x <= 0 then 1 else (((i mod 2) + x) div 2)) + x),x,0)
A117792: 0 1 1 2 3 5 7 11 16 24 36 54 81 122 183 275
loop(\(x,i).((loop(\(x,i).((i * i) + x),i,0) * i) + x),x,0)
A207361: 0 1 11 53 173 448 994 1974 3606 6171 10021 15587 23387 34034 48244 66844
loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).(x - (i - x)),x,0)))
A008353: 1 4 20 96 432 1856 7744 31744 128768 519168 2085888 8364032 33501184 134103040 536625152 2146959360
(x - loop(\(x,i).(x * 2),x,loop(\(x,i).(x - (i - x)),x,0)))
A064671: 0 3 18 91 420 1829 7686 31623 128520 518665 2084874 8361995 33497100 134094861 536608782 2146926607
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),x,0)
A000254: 0 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 4339163001600
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 2),1) + (i * x)),x,0)
A187249: 0 1 3 11 48 248 1504 10560 84544 761024 7610496 83715968 1004592640 13059706368 182835893248 2742538406912
loop(\(x,i).(loop(\(x,i).((i * i) * x),i,1) + (i * x)),x,0)
A217238: 0 1 6 54 792 18360 628560 29801520 1864114560 148458925440 14652778694400 1754531487878400 250496910657100800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),i) + (i * x)),x,0)
A066534: 0 1 6 30 152 840 5232 37072 297600 2680704 26812160 294945024 3539364864 46011796480 644165265408 9662479226880
loop(\(x,i).(((loop(\(x,i).(i * x),i,1) + x) * i) + x),x,0)
A067318: 0 1 7 46 326 2556 22212 212976 2239344 25659360 318540960 4261576320 61148511360 937030429440 15275952518400 264030355814400
loop(\(x,i).loop(\(x,i).((((i mod 2) + 2) * i) + x),i,x),x,0)
A212967: 0 3 10 26 50 89 140 212 300 415 550 718 910 1141 1400 1704
loop(\(x,i).((loop(\(x,i).((x * x) * x),2,i) * i) + x),x,0)
A023002: 0 1 1025 60074 1108650 10874275 71340451 353815700 1427557524 4914341925 14914341925 40851766526 102769130750 240627622599 529882277575 1106532668200
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((i * i) + x),x,0))
A087076: 0 1 10 56 240 880 2912 8960 26112 72960 197120 518144 1331200 3354624 8314880 20316160
loop(\(x,i).((loop(\(x,i).(x * 2),i,i) * (i * i)) + x),x,0)
A036827: 0 2 34 250 1274 5274 19098 63002 194074 567322 1591322 4317210 11395098 29392922 74350618 184942618
loop(\(x,i).((loop(\(x,i).((0 - x) * 2),i,i) * i) + x),x,0)
A232601: 0 ~2 14 ~58 198 ~602 1702 ~4570 11814 ~29658 72742 ~175066 414758 ~969690 2241574 ~5131226
loop(\(x,i).(loop(\(x,i).(x * x),2,((i * i) * i)) + x),x,0)
A123094: 0 1 4097 535538 17312754 261453379 2438235715 16279522916 84998999652 367428536133 1367428536133 4505856912854 13421957361110 36720042483591 93413954858887 223160292749512
((if (2 - x) <= 0 then (if (x mod 2) <= 0 then (2 + 2) else 1) else 0) + 1)
A112871: 1 1 5 2
A072996: 1 1 5 2 5 2 5 2 5 2 5 2 5 2 5 2
(loop(\(x,i).((if x <= 0 then 1 else x) * (2 + 2)),(x - 1),0) + 1)
A092896: 1 1 5 17 65 257 1025 4097 16385 65537 262145 1048577 4194305 16777217 67108865 268435457
((if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 0 else 2) else 0) + 1)
A342466-A336651-A327537-A327401-A318449-A049586-A030560: 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1
(if ((x + 2) mod ((if (x - 2) <= 0 then 1 else 2) + 2)) <= 0 then 0 else 1)
A284368: 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1
loop(\(x,i).i,(if (x mod 2) <= 0 then (((x - 1) div 2) - 2) else 0),1)
A195842: 1 1 1 1 1 1 1 1 1 1 2 1 3 1 4 1
(loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then 2 else 0)) + 1)
A066827: 3 1 1 1 33 1 1 1 513 1 1 1 8193 1 1 1
(if ((x - (if (x - 2) <= 0 then 0 else 2)) mod (2 + 2)) <= 0 then 0 else 1)
A185207-A185206-A185205: 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1
loop(\(x,i).(x * 2),((x div 2) - (if (x mod 2) <= 0 then 2 else 0)),1)
A076736: 1 1 1 2 1 4 2 8 4 16 8 32 16 64 32 128
((if x <= 0 then 1 else ((x + 2) + 2)) + (if (x - 2) <= 0 then 0 else 1))
A270653: 1 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20
(loop(\(x,i).((if x <= 0 then 1 else x) * (2 + 1)),(x * 2),0) + 1)
A103460: 1 10 82 730 6562 59050 531442 4782970 43046722 387420490 3486784402 31381059610 282429536482 2541865828330 22876792454962 205891132094650
(if ((x mod (2 + 1)) - 1) <= 0 then (if x <= 0 then 1 else 2) else (0 - 1))
A143098: 1 2 ~1 2 2 ~1 2 2 ~1 2 2 ~1 2 2 ~1 2
loop(\(x,i).(((if (i mod 2) <= 0 then 2 else 0) + x) * 2),x,(0 - 1))
A153772: ~1 ~2 0 0 4 8 20 40 84 168 340 680 1364 2728 5460 10920
(loop(\(x,i).(((if x <= 0 then 2 else 1) + 2) * (x + 1)),x,0) + 1)
A052909: 1 5 16 49 148 445 1336 4009 12028 36085 108256 324769 974308 2922925 8768776 26306329
(loop(\(x,i).(if x <= 0 then ((i div 2) + 2) else (x - 1)),x,0) + 1)
A080883: 1 3 2 1 5 4 3 2 1 7 6 5 4 3 2 1
(loop(\(x,i).(loop(\(x,i).(x * 2),x,2) mod (i + 1)),x,0) + 1)
A119979: 1 1 3 1 3 3 2 5 6 5 11 9 6 9 3 9
(loop(\(x,i).(((if x <= 0 then 1 else x) * (2 + 2)) * 2),x,0) + 1)
A103459: 1 9 65 513 4097 32769 262145 2097153 16777217 134217729 1073741825 8589934593 68719476737 549755813889 4398046511105 35184372088833
(loop(\(x,i).(if x <= 0 then 1 else (((x + 2) + 2) * 2)),x,0) + 1)
A154251: 1 2 11 29 65 137 281 569 1145 2297 4601 9209 18425 36857 73721 147449
(loop(\(x,i).(((if x <= 0 then 1 else x) * (x + 2)) * 2),x,0) + 1)
A084765: 1 5 49 4801 46099201 4250272665676801 4611686018427387903 4611686018427387903
(loop(\(x,i).((if x <= 0 then 1 else ((x + 2) * x)) * 2),x,0) + 1)
A001601: 1 3 17 577 665857 886731088897 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div (if i <= 0 then 1 else i)) + (x + 2)),x,0) + 1)
A123753: 1 3 6 9 13 17 21 25 30 35 40 45 50 55 60 65
((if (x mod ((2 + 1) * 2)) <= 0 then 2 else 1) + (if x <= 0 then 0 else 1))
A096917: 2 2 2 2 2 2 3 2 2 2 2 2 3 2 2 2
loop(\(x,i).(i * x),x,(((x + 1) * 2) + (if x <= 0 then 0 else 1)))
A052649: 2 5 14 54 264 1560 10800 85680 766080 7620480 83462400 997920000 12933043200 180583603200 2702527027200 43153254144000
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else (if x <= 0 then 0 else 1))
A341644: 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 2 else (if x <= 0 then 0 else 1))
A158819: 0 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1
(loop(\(x,i).(((x * x) div 2) + 1),x,2) + (if x <= 0 then 0 else 1))
A275664: 2 4 6 14 86 3614 6526886 21300113901614 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,(x + 1)) + x) + (if x <= 0 then 0 else 1))
A135854: 1 6 15 36 85 198 455 1032 2313 5130 11275 24588 53261 114702 245775 524304
((loop(\(x,i).(x * x),2,(x + 2)) - x) + (if x <= 0 then 0 else 1))
A250362: 16 81 255 623 1293 2397 4091 6555 9993 14633 20727 28551 38405 50613 65523 83507
(loop(\(x,i).(if x <= 0 then (2 + 1) else ((x - 1) * x)),x,0) + 1)
A000289: 1 4 7 31 871 756031 571580604871 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(x - 1),((if (2 - x) <= 0 then x else 0) + 1))
A059171: 1 1 3 8 30 144 840 5760 45360 403200 3991680 43545600 518918400 6706022400 93405312000 1394852659200
(loop(\(x,i).(if x <= 0 then (2 + 2) else ((x - 2) * x)),x,0) + 1)
A000324: 1 5 9 49 2209 4870849 23725150497409 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),(x - 1),1) + 1))
A052584: 2 2 6 30 216 2040 23760 327600 5201280 93260160 1861574400 40914720000 981474278400 25512104217600 714251739801600 21426244519680000
(if (2 - x) <= 0 then (if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) else 1)
A099384: 1 1 1 1 1 1 2 2 1 1 1 1 2 2 1 1
((if (x - 2) <= 0 then x else (if (x mod 2) <= 0 then (2 + 2) else 1)) + 1)
A328317: 1 2 3 2 5 2 5 2 5 2 5 2 5 2
(if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1)
A040041: 6 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1
loop(\(x,i).((if (i mod 2) <= 0 then 2 else i) * x),(x div (2 + 1)),1)
A139552: 1 1 1 1 1 1 2 2 2 6 6 6 12 12 12 60
(loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),(x div 2),1) - 1)
A266539-A266529-A266509: 0 0 1 1 1 1 3 3 1 1 3 3 5 5 7 7
(if x <= 0 then 2 else (if (x - 2) <= 0 then (((x * x) * 2) - 1) else 1))
A116891: 2 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1
(loop(\(x,i).((if (i - 2) <= 0 then 2 else x) * (x + 1)),x,1) + 1)
A239900: 2 5 11 111 12211 149096311 22229709804712411 4611686018427387903
loop(\(x,i).(i * x),x,(loop(\(x,i).((x * 2) * 2),x,1) + 1))
A052695: 2 5 34 390 6168 123000 2949840 82580400 2642451840 95127177600 3805076217600 167423233824000 8036313786547200 417888298219392000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),loop(\(x,i).(((i + x) - 2) * 2),x,1),1)
A165623: 2 1 1 4 256 4194304 4503599627370496 4611686018427387903 4611686018427387903
(loop(\(x,i).(if x <= 0 then 1 else (x * 2)),x,((2 - x) + 1)) - 1)
A088041: 2 3 3 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + 1)
A001576: 3 7 21 73 273 1057 4161 16513 65793 262657 1049601 4196353 16781313 67117057 268451841 1073774593
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,1)) - 1)
A156589: ~1 1 11 55 239 991 4031 16255 65279 261631 1047551 4192255 16773119 67100671 268419071 1073709055
(loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(x * 2),x,1)) - 1)
A130567: 2 7 23 79 287 1087 4223 16639 66047 263167 1050623 4198399 16785407 67125247 268468223 1073807359
(loop(\(x,i).((x + 2) * x),2,loop(\(x,i).(x * 2),x,1)) - 1)
A099360: 14 79 623 6559 83519 1185919 17850623 276922879 4362470399 69257922559 1103812890623 17626570956799 281749955297279 4505799053311999 72075187834650623 1153062248537784319
((loop(\(x,i).(x * x),x,2) + loop(\(x,i).(x * 2),x,1)) + 1)
A119561: 4 7 21 265 65553 4294967329 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(x * 2),x,1) + 1))
A343318: 8 27 125 729 4913 35937 274625 2146689 16974593 135005697 1076890625 8602523649 68769820673 549957165057 4398851866625 35187593412609
loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1))
A074607: 2 9 45 243 1377 8019 47385 282123 1686177 10097379 60525225 362974203 2177313777 13062288339 78368947065 470199333483
((if (x mod (2 + 1)) <= 0 then 0 else (if (x mod 2) <= 0 then x else 1)) + 1)
A214055: 1 2 3 1 5 2 1 2 9 1 11 2 1 2 15 1
loop(\(x,i).loop(\(x,i).((i + 1) * x),(i * 2),x),(x + 1),1)
A169668: 6 720 3628800 1316818944000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i + 2) * x),(i * 2),x),(x + 1),1)
A169657: 12 4320 87091200 158018273280000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,x) + x),(x + 1),1)
A018925: 5 85 5525 1419925
loop(\(x,i).((x * 2) - loop(\(x,i).(i * x),i,1)),(x - 1),1)
A106539: 1 1 1 0 ~6 ~36 ~192 ~1104 ~7248 ~54816 ~472512 ~4573824 ~49064448 ~577130496 ~7381281792 ~101940854784
(if ((if x <= 0 then 1 else x) mod ((2 + 1) * 2)) <= 0 then (x - 1) else 1)
A282304: 1 1 1 1 1 1 5 1 1 1 1 1 11 1 1 1
(if ((if x <= 0 then 1 else x) mod ((2 + 2) * 2)) <= 0 then (x - 1) else 1)
A336699: 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1
loop(\(x,i).loop(\(x,i).(x * x),(x - 2),(x * 2)),(x - 1),1)
A048829: 1 1 2 4 4096
(if x <= 0 then (2 + 2) else (0 - loop(\(x,i).(x * 2),(x - 1),1)))
A154589: 4 ~1 ~2 ~4 ~8 ~16 ~32 ~64 ~128 ~256 ~512 ~1024 ~2048 ~4096 ~8192 ~16384
(loop(\(x,i).(i * x),x,1) - loop(\(x,i).(x * 2),(x - 1),1))
A059204: 0 0 0 2 16 104 688 4976 40192 362624 3628288 39915776 478999552 6227016704 87178283008 1307674351616
loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + (x * 2)),(x - 1),1)
A126391: 1 1 4 24 240 4320 146880 9694080 1260230400 325139443200 167121673804800 171466837323724800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then (x - 2) else 1) + x),(x - 1),1)
A228693: 1 1 2 2 3 4 5 8 9 16 17 32 33 64 65 128
loop(\(x,i).(x * x),1,loop(\(x,i).((x + 1) * x),(x - 1),1))
A174864: 1 1 4 36 1764 3261636 10650053687364 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else loop(\(x,i).((i div (0 - 2)) * x),(x - 1),1))
A111942: 0 1 ~1 1 ~2 4 ~12 36 ~144 576 ~2880 14400 ~86400 518400 ~3628800 25401600
loop(\(x,i).((loop(\(x,i).(x * x),i,2) - x) * x),(x - 1),1)
A076628: 1 1 3 39 8463 483008799 1841209495473815103 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,x) + x),(x - 1),1)
A309327: 1 1 5 85 5525 1419925 1455423125 5962868543125 97701601079103125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,x) + x),(x - 1),1)
A290000: 1 1 4 40 1120 91840 22408960 16358540800 35792487270400 234870301468364800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * x) * (i + 1)),i,x),(x - 1),1)
A054909: 1 1 2 24
A059332: 1 1 2 24 3456 9953280 859963392000 3120635156889600000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),2,loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A063270: 2 82 6562 531442 43046722 3486784402 282429536482 22876792454962 1853020188851842 150094635296999122 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1))
A074601: 2 8 40 224 1312 7808 46720 280064 1679872 10078208 60467200 362799104 2176786432 13060702208 78364180480 470185017344
loop(\(x,i).(i * x),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1))
A052573: 2 4 20 168 1968 29280 525600 11027520 264579840 7142929920 214280640000 7071181286400 254561568307200 9927888709939200 416971151460864000 4611686018427387903
((0 - x) mod (loop(\(x,i).loop(\(x,i).(x * 2),x,x),x,1) + 1))
A320505: 0 2 7 2046
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),x,1)) + 1)
A066142: 3 3 7 43 601 14521 519121 25406641 1625742721 131682257281 13168193068801 1593350962156801 229442533281561601 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(i * x),x,1)) + 1)
A261471: 1 1 3 31 553 14281 517681 25396561 1625662081 131681531521 13168185811201 1593350882323201 229442532323558401 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(if x <= 0 then i else (x div 2)),(x - 1),0) div 2) + 1)
A089688: 1 1 1 1 2 1 1 4 2 1 1 6 3 2 1 1
(loop(\(x,i).(x * 2),x,1) - (if (x mod 2) <= 0 then (0 - 2) else 1))
A280293: 3 1 6 7 18 31 66 127 258 511 1026 2047 4098 8191 16386 32767
(if (x mod ((2 + 2) * (2 + 1))) <= 0 then (if x <= 0 then 0 else 2) else 1)
A049704: 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (if x <= 0 then 0 else 2) else 1)
A303837-A193582-A095827-A085021: 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
(if (x mod (2 + 2)) <= 0 then (if (x mod (2 + 1)) <= 0 then 1 else 2) else 1)
A244226: 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1
(if ((x div 2) - 2) <= 0 then (if (x mod (2 + 1)) <= 0 then 1 else 2) else 1)
A100244: 1 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1
((loop(\(x,i).(if x <= 0 then i else (x div 2)),(x - 1),1) div 2) + 1)
A104762: 1 1 1 2 1 1 3 2 1 1 5 3 2 1 1 8
(if ((if x <= 0 then 1 else x) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1)
A333737-A333733-A333159-A332770-A322494-A306741-A296554-A284582-A284558-A273975-A257463-A257462-A245013-A242784-A238384-A227690-A226444-A224697-A220122-A219924-A212177-A204162-A196929-A196017-A189006-A171398-A155050-A143654-A140356-A139549-A139147-A139040-A139038-A133687-A129192-A119963-A119326-A109035-A108465-A067059-A057790-A052307-A047996-A043286-A008327: 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1
((loop(\(x,i).loop(\(x,i).((x * x) - 1),x,2),x,1) * 2) + 1)
A005844: 3 7 127 4611686018427387903
((loop(\(x,i).loop(\(x,i).((i * x) + 2),x,2),x,1) * 2) + 1)
A318970: 3 9 261 4611686018427387903
(if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040029: 5 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1
(if (x mod 2) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040071: 8 1 16 1 16 1 16 1 16 1 16 1 16 1 16 1
(if (x mod (((x div 2) + 2) + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A204014: 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1
(if ((x div (0 - 2)) mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A329040: 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2
(if (((x div 2) + x) mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A294932: 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1
(loop(\(x,i).((i + x) + x),(x - 2),(if x <= 0 then 1 else 2)) - 1)
A130103: 0 1 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752
(((if (x - 1) <= 0 then x else 0) + 2) * ((if x <= 0 then 1 else 2) + 1))
A168608: 4 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6
(x - (if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) * 2) else 1))
A276331: 0 0 1 2 0 4 5 6 4 8 9 10 8 12 13 14
loop(\(x,i).(x * x),(x - 2),(((if x <= 0 then 0 else 2) * 2) + 1))
A165423: 1 5 5 25 625 390625 152587890625 4611686018427387903 4611686018427387903
loop(\(x,i).i,((x - (if (x mod (2 + 1)) <= 0 then 1 else 2)) div 2),1)
A029111: 1 1 1 1 1 1 2 2 3 4 4 4 5 5 6 7
loop(\(x,i).((x * 2) * 2),x,(((if x <= 0 then 1 else 2) + 2) + 1))
A292540: 4 20 80 320 1280 5120 20480 81920 327680 1310720 5242880 20971520 83886080 335544320 1342177280 5368709120
(if x <= 0 then 0 else (if ((x * x) mod ((x + 2) + 2)) <= 0 then 2 else 1))
A257679: 0 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else (2 + 2)) else 1)
A336649: 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1
loop(\(x,i).(x * 2),(x div 2),(if (x mod 2) <= 0 then (2 + 2) else 1))
A112032: 4 1 8 2 16 4 32 8 64 16 128 32 256 64 512 128
(if x <= 0 then 1 else (loop(\(x,i).(i * x),x,2) * ((2 + 2) + 1)))
A174183: 1 10 20 60 240 1200 7200 50400 403200 3628800 36288000 399168000 4790016000 62270208000 871782912000 13076743680000
loop(\(x,i).(x * x),1,loop(\(x,i).(x * 2),x,((2 + 2) + 1)))
A309779: 25 100 400 1600 6400 25600 102400 409600 1638400 6553600 26214400 104857600 419430400 1677721600 6710886400 26843545600
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else (x div (2 + 2))) else 1)
A260534-A178239: 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1
loop(\(x,i).(x * x),1,(loop(\(x,i).(x * x),x,(2 + 2)) - 1))
A330830: 9 225 65025 4294836225 4611686018427387903
(if (x mod (2 + 2)) <= 0 then 0 else (if ((2 - x) + 2) <= 0 then 2 else 1))
A215883: 0 1 1 1 0 2 2 2 0 2 2 2 0 2 2 2
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) + 2)) + 1)
A085601: 5 13 41 145 545 2113 8321 33025 131585 525313 2099201 8392705 33562625 134234113 536903681 2147549185
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) + 2)) - 1)
A281482: 3 11 39 143 543 2111 8319 33023 131583 525311 2099199 8392703 33562623 134234111 536903679 2147549183
loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),(x + 2),2) - 1))
A171472: 7 30 124 504 2032 8160 32704 130944 524032 2096640 8387584 33552384 134213632 536862720 2147467264 8589901824
(loop(\(x,i).((x * x) * 2),(if x <= 0 then 1 else (x * 2)),2) - 1)
A277634-A077586: 7 127 2147483647 4611686018427387903
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),(x div 2),2) - 1))
A052634: 1 1 6 18 168 840 10800 75600 1249920 11249280 228614400 2514758400 60833203200 790831641600 22230464256000 333456963840000
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * x),x,2) * 2)) + 1)
A076448: 5 17 129 4097 2097153 274877906945 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((if (2 - x) <= 0 then 2 else 1) + 1) * (2 + 1)))
A100403: 1 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (2 + 1))
A040033: 6 3 12 3 12 3 12 3 12 3 12 3 12 3 12 3
(loop(\(x,i).(if (i - x) <= 0 then 1 else (x + 2)),x,1) mod (2 + 1))
A065252: 1 1 0 1 0 2 1 1 0 2 1 0 2 1 0 1
loop(\(x,i).(i * x),x,((if (x - 2) <= 0 then x else 1) * (2 + 1)))
A052637: 0 3 12 18 72 360 2160 15120 120960 1088640 10886400 119750400 1437004800 18681062400 261534873600 3923023104000
(loop(\(x,i).((if x <= 0 then i else x) - 1),(x * x),1) mod (2 + 1))
A123635: 1 0 0 0 0 0 0 2 0 1 0 0 0 2 2 0
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * x),2,(2 + 1)))
A220088: ~80 ~79 ~77 ~73 ~65 ~49 ~17 47 175 431 943 1967 4015 8111 16303 32687
(if x <= 0 then 2 else ((if (2 - x) <= 0 then (x * x) else 2) * (2 + 1)))
A289443: 2 6 12 27 48 75 108 147 192 243 300 363 432 507 588 675
((if x <= 0 then 1 else ((if (x mod 2) <= 0 then x else 1) * x)) mod (2 + 1))
A204688: 1 1 1 0 1 2 0 1 1 0 1 2 0 1 1 0
(if x <= 0 then 1 else (loop(\(x,i).(x * 2),(x - 1),x) * (2 + 1)))
A167667: 1 3 12 36 96 240 576 1344 3072 6912 15360 33792 73728 159744 344064 737280
(if x <= 0 then 1 else loop(\(x,i).(((x div 2) + x) * 2),x,(2 + 1)))
A083583: 1 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584 38263752
loop(\(x,i).((x * x) * x),1,loop(\(x,i).(x * 2),x,(2 + 1)))
A272342: 27 216 1728 13824 110592 884736 7077888 56623104 452984832 3623878656 28991029248 231928233984 1855425871872 14843406974976 118747255799808 949978046398464
(if x <= 0 then 2 else (if (x - (2 + 1)) <= 0 then x else (x - (2 + 1))))
A329794: 2 1 2 3 1 2 3 4 5 6 7 8 9 10 11 12
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),1) - x),x,(2 + 1))
A154879: 3 ~2 4 0 8 8 24 40 88 168 344 680 1368 2728 5464 10920
loop(\(x,i).(x * x),2,loop(\(x,i).((2 + 1) * x),x,(2 + 1)))
A089683: 81 6561 531441 43046721 3486784401 282429536481 22876792454961 1853020188851841 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),i,(2 + 1)) + x),x,(2 + 1))
A115245: 3 12 93 6654 43053375 1853020231905216 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(x div 2),(if (2 - x) <= 0 then x else (2 + 1)))
A175796: 3 3 4 9 256
loop(\(x,i).(x * x),1,(loop(\(x,i).(i * x),x,x) * (2 + 1)))
A069134: 0 9 144 2916 82944 3240000 167961600 11202105600 936404582400 95996101017600 11851370496000000 1735159154319360000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then x else 2) + 1)
A327535-A327389-A282779: 1 2 3 4 5 6 7 8 3 10 11 12 13 14 15 16
loop(\(x,i).((2 + 1) * x),x,((if (x - 1) <= 0 then x else 2) + 1))
A027313: 1 6 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x + 2) * 2),x,2) + 1))
A103897: 3 18 84 360 1488 6048 24384 97920 392448 1571328 6288384 25159680 100651008 402628608 1610563584 6442352640
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x * 2) * 2),x,2) - 1))
A147590: 1 14 124 1016 8176 65504 524224 4194176 33554176 268434944 2147482624 17179867136 137438949376 1099511619584 8796093005824 70368744144896
loop(\(x,i).(i * x),x,(loop(\(x,i).((x * 2) * 2),x,2) - 1))
A167550: 1 7 62 762 12264 245640 5897520 165145680 5284782720 190253266560 7610141548800 334846347897600 16072626136089600 835776577757721600 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),x,1) div (if (2 - x) <= 0 then 2 else 1))
A133799: 1 3 6 30 180 1260 10080 90720 907200 9979200 119750400 1556755200 21794572800 326918592000 5230697472000 88921857024000
(loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).i,(2 - x),2)) - 1)
A267941: 1 3 31 127 511 2047 8191 32767 131071 524287 2097151 8388607 33554431 134217727 536870911 2147483647
(loop(\(x,i).(((if (i mod 2) <= 0 then 2 else 0) + x) * 2),x,2) + 1)
A159290: 3 5 13 25 53 105 213 425 853 1705 3413 6825 13653 27305 54613 109225
(loop(\(x,i).(((if (i mod 2) <= 0 then 2 else 0) + x) * 2),x,2) - 1)
A173078: 1 3 11 23 51 103 211 423 851 1703 3411 6823 13651 27303 54611 109223
loop(\(x,i).(x * x),1,(loop(\(x,i).((0 - x) * 2),x,2) - 1))
A216869: 1 25 49
A171590: 1 25 49 289 961 4225 16129 66049 261121 1050625 4190209 16785409 67092481 268468225 1073676289 4295098369
loop(\(x,i).(0 - x),x,(loop(\(x,i).((2 - x) * 2),x,2) + 1))
A171382: 3 ~1 5 3 13 19 45 83 173 339 685 1363 2733 5459 10925 21843
(loop(\(x,i).((if (i - 2) <= 0 then 2 else 1) + (x * 2)),x,2) - 1)
A060182: 1 5 13 28 58 118 238 478 958 1918 3838 7678 15358 30718 61438 122878
(loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(x * 2),x,2)) - 1)
A093069: 7 23 79 287 1087 4223 16639 66047 263167 1050623 4198399 16785407 67125247 268468223 1073807359 4295098367
(loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x * 2),x,2)) - 1)
A093112: ~1 7 47 223 959 3967 16127 65023 261119 1046527 4190207 16769023 67092479 268402687 1073676287 4294836223
loop(\(x,i).((x * x) + 2),1,(loop(\(x,i).(x * 2),x,2) - 1))
A191341: 3 11 51 227 963 3971 16131 65027 261123 1046531 4190211 16769027 67092483 268402691 1073676291 4294836227
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(x * 2),x,2) - 1))
A128831: 1 27 343 3375 29791 250047 2048383 16581375 133432831 1070599167 8577357823 68669157375 549554511871 4397241253887 35181150961663 281462092005375
loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,2) - 1))
A016137: 1 9 63 405 2511 15309 92583 557685 3352671 20135709 120873303 725416965 4353033231 26119793709 156723545223 940355620245
loop(\(x,i).(x * 2),(x * x),(loop(\(x,i).(x * 2),x,2) - 1))
A088668: 1 6 112 7680 2031616 2113929216 8727373545472 143552238122434560 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) + x),x,(loop(\(x,i).(x * 2),x,2) - 1))
A174121: 1 4 12 29 61 118 218 395 715 1308 2432 4601 8841 17202 33782 66775
loop(\(x,i).(x - (i * i)),x,(loop(\(x,i).(x * 2),x,2) - 1))
A174120: 1 2 2 1 1 8 36 115 307 738 1662 3589 7541 15564 31752 64295
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else (x + 2)) else 1)
A284100: 1 1 1 1 1 1 1 1 10 1 1 1 1 1 1 1
loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,((x + 2) + 1))
A309391: 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1
loop(\(x,i).(i * x),x,((if (x - 2) <= 0 then 1 else (x - 2)) - 1))
A052520: 0 0 0 0 24 240 2160 20160 201600 2177280 25401600 319334400 4311014400 62270208000 958961203200 15692092416000
(if (x - 2) <= 0 then x else loop(\(x,i).((x + 2) * 2),(x - 2),1))
A270810: 0 1 2 6 16 36 76 156 316 636 1276 2556 5116 10236 20476 40956
loop(\(x,i).(if ((x + 1) mod (2 + 1)) <= 0 then i else 2),(x - 2),1)
A275382: 1 1 1 2 2 3 2 5 6
loop(\(x,i).(x * x),1,loop(\(x,i).(x * 2),x,((x * 2) + 1)))
A164583: 1 36 400 3136 20736 123904 692224 3686400 18939904 94633984 462422016 2218786816 10485760000 48922361856 225754218496 1031865892864
loop(\(x,i).((if (i - 1) <= 0 then x else i) * x),x,((x * 2) + 1))
A007681: 1 9 50 294 1944 14520 121680 1134000 11652480 130999680 1600300800 21115987200 299376000000 4539498163200 73316942899200 1256675067648000
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,(x * 2)) + 1)
A057036: 1 2 2 1 3 1 3 5 2 4 6 2 4 6 1 3
loop(\(x,i).(x div 2),x,loop(\(x,i).((2 + 1) * x),(x * 2),1))
A094971: 1 4 20 91 410 1845 8303 37366 168151 756680 3405062 15322783 68952523 310286355 1396288601 6283298708
loop(\(x,i).(((if (i - 2) <= 0 then x else 2) + 2) * x),(x * 2),1)
A090411: 1 15 240 3840 61440 983040 15728640 251658240 4026531840 64424509440 1030792151040 16492674416640 263882790666240 4222124650659840 67553994410557440 1080863910568919040
loop(\(x,i).loop(\(x,i).(((i * 2) + 1) * x),i,x),(x * 2),1)
A089626: 1 45 4465125 6272287562165625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod 2) <= 0 then 2 else i) + i) * x),(x * 2),1)
A065141: 1 8 288 23040 3225600 696729600 214592716800 89270570188800 48206107901952000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).((i * i) * x),(x * 2),1))
A264153: 1 2 144 64800 101606400 411505920000 3585039575040000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i - x) <= 0 then 0 else i) + 1) * x),(x div 2),1)
A286865: 1 1 1 1 3 3 3 3 15 15 15 15 15 15 15 15
loop(\(x,i).((if (i mod 2) <= 0 then (0 - 2) else 2) * x),(x div 2),1)
A320770: 1 1 2 2 ~4 ~4 ~8 ~8 16 16 32 32 ~64 ~64 ~128 ~128
(loop(\(x,i).(if (2 - x) <= 0 then (x * x) else 2),x,(x div 2)) + 1)
A007516: 1 3 5 17 65537
loop(\(x,i).(loop(\(x,i).(x * x),2,(2 + 2)) - 2),(x mod 2),1)
A110827: 1 254 1
(loop(\(x,i).(x * x),x,((if x <= 0 then 1 else x) + (x mod 2))) + 1)
A258429: 2 5 17 65537
(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,(if x <= 0 then 2 else 1)))
A167167: ~1 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * 2) + 1)
A158405: 1 1 3 1 3 5 1 3 5 7 1 3 5 7 9 1
loop(\(x,i).(x * x),1,(loop(\(x,i).((2 + 1) * x),x,2) + 1))
A169724: 9 49 361 3025 26569 237169 2128681 19140625 172213129 1549760689 13947373801 125524947025 1129720271689 10167469690609 91507188951721 823564585774225
loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,2) - 1))
A081656: 1 10 68 424 2576 15520 93248 559744 3358976 20154880 120931328 725592064 4353560576 26121379840 156728311808 940369936384
(loop(\(x,i).((if (2 - (i div 2)) <= 0 then x else 2) + x),x,2) - 1)
A334084: 1 3 5 7 15 31 63 127 255 511 1023
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * x),x,2)) + 1)
A220161: 7 21 273 65793 4295032833 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * x),x,2)) + 1)
A220294: 3 13 241 65281 4294901761 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x div 2) * x),1,(loop(\(x,i).(x * x),x,2) + 1))
A191363: 3 10 136 32896 2147516416
loop(\(x,i).(i * x),x,(loop(\(x,i).((i + x) + x),x,2) - 1))
A052650: 1 4 22 156 1368 14400 177840 2530080 40844160 738823680 14816390400 326439590400 7840777190400 203947385241600 5711834461132800 171375956623872000
(if (if (x mod ((2 + 2) * (2 + 1))) <= 0 then x else 0) <= 0 then x else 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A345672: 0 1 2 3 4 5 6 7 8 9 10 11 1 13 14 15
((loop(\(x,i).(if x <= 0 then (i * 2) else (x - 1)),x,0) + x) + 1)
A179526: 1 4 4 4 13 13 13 13 13 13 13 13 13 40 40 40
loop(\(x,i).((i + x) - (if (x - (i * 2)) <= 0 then 0 else 1)),x,1)
A077169: 1 2 4 7 11 15 20 26 33 41 50 60 71 83 96 110
(if (x mod 2) <= 0 then (2 mod (if (x mod (2 + 1)) <= 0 then 1 else x)) else 1)
A038698: 0 1 0 1 2 1 0 1 2 1 2 1 0 1 2 1
loop(\(x,i).loop(\(x,i).(x * 2),(i div ((x * 2) + 1)),1),x,1)
A113793: 1 1 1 2 1 2 2 2 2 2 4 2 4 2 4 2
loop(\(x,i).((i * x) - loop(\(x,i).(i * x),(i - 1),1)),x,1)
A081047: 1 0 ~1 ~5 ~26 ~154 ~1044 ~8028 ~69264 ~663696 ~6999840 ~80627040 ~1007441280 ~13575738240 ~196287356160 ~3031488633600
loop(\(x,i).(if (i - x) <= 0 then (((2 + 2) + 1) * 2) else 1),x,1)
A269352: 1 10 10 10 10 10 10 10 10 10 10 1 1 1 1 1
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A016131: 1 10 84 680 5456 43680 349504 2796160 22369536 178956800 1431655424 11453245440 91625967616 733007749120 5864062009344 46912496107520
loop(\(x,i).(i * x),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A052654: 1 5 42 510 8184 163800 3931920 110098800 3523201920 126835632000 5073428908800 223230911904000 10715084250393600 557184387247488000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) * 2) - 1),x,1))
A082412: 1 6 44 344 2736 21856 174784 1398144 11184896 89478656 715828224 5726623744 45812985856 366503878656 2932031012864 23456248070144
loop(\(x,i).((loop(\(x,i).(x * 2),i,1) - x) * (2 + 1)),x,1)
A165405: 1 3 3 15 3 87 ~69 591 ~1005 4551 ~10581 37887 ~101373 328695 ~936933 2909103
loop(\(x,i).(0 - x),x,loop(\(x,i).(i - ((x * 2) - 1)),x,1))
A053088: 1 0 3 2 9 12 31 54 117 224 459 906 1825 3636 7287 14558
loop(\(x,i).(2 - x),x,loop(\(x,i).(i - ((x * 2) - 1)),x,1))
A133993: 1 2 3 4 9 14 31 56 117 226 459 908 1825 3638 7287 14560
loop(\(x,i).(x * 2),x,loop(\(x,i).(((i * x) * 2) + 1),x,1))
A097820: 1 6 52 632 10128 202592 4862272 136143744 4356600064 156837602816 6273504113664 276034181003264 13249640688160768 688981315784368128 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * x),2,(2 + 1)) * x) + 1),x,1)
A239670: 1 82 6643 538084 43584805 3530369206 285959905687 23162752360648 1876182941212489 151970818238211610 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A016129: 1 8 52 320 1936 11648 69952 419840 2519296 15116288 90698752 544194560 3265171456 19591036928 117546237952 705277460480
loop(\(x,i).(i * x),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A052577: 1 4 26 240 2904 43680 786960 16531200 396789120 10713669120 321413702400 10606692096000 381841394457600 14891820610867200 625456552834713600 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(((2 + 1) * x) - 1),x,1))
A051500: 1 4 25 196 1681 14884 133225 1196836 10764961 96864964 871725625 7845353476 70607649841 635467254244 5719200505225 51472790198116
loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) - 1),x,1))
A081335: 1 4 20 112 656 3904 23360 140032 839936 5039104 30233600 181399552 1088393216 6530351104 39182090240 235092508672
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),(i + 1),x) + 1),x,1)
A130449: 1 17 1089 278785 285475841 1169309044737 19157959388971009 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),x) + 1),x,1)
A117263: 1 2 7 64 1729 140050 34032151 24809438080 54258241080961 355988319732185122 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * x),(i - 1),2) * x) + 1),x,1)
A318165: 1 3 13
A085010: 1 3 13 209 53505 3506503681 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i + 1) * x),(2 + 2),x) + 1),x,1)
A178512: 1 121 14521 1742521 209102521 25092302521 3011076302521 361329156302521 43359498756302521 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x + 2) * x),2,2) * x) + 1),x,1)
A178513: 1 81 6481 518481 41478481 3318278481 265462278481 21236982278481 1698958582278481 135916686582278481 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i + 2),x) + 1),x,1)
A178187: 1 28 2269 551368 401947273 879058686052 5767504039187173 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).((x * 2) * (x + 1)),x,1))
A059723: 1 2 10 410 1345210 28953440450810 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (i - (x - 1))),x,1)
A345877: 1 1 2 1 4 2 1 7 2 1 10 5 8 4 2 1
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((i + x) + 1)),x,1)
A090895: 1 3 6 3 8 4 2 1 10 5 16 8 4 2 1 17
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).((i * x) + 1),x,1))
A097815: 1 8 80 1024 16640 333824 8015872 224460800 7182811136 258581463040 10343259570176 455103425282048 21844964430315520 1135938150443515904 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((i * x) + 1),x,1))
A097814: 1 6 45 432 5265 79218 1426653 29961900 719092161 19415508030 582465299949 19221355075464 691968783248145 26986782548271978 1133444867032206045 4611686018427387903
loop(\(x,i).((1 - (x * 2)) - (if (i - 2) <= 0 then i else 1)),x,1)
A110164: 1 ~2 3 ~6 12 ~24 48 ~96 192 ~384 768 ~1536 3072 ~6144 12288 ~24576
loop(\(x,i).((if (x mod (i + 1)) <= 0 then 0 else x) + (i + 1)),x,1)
A343752: 1 3 3 7 12 6 13 21 30 10 21 33 46 60 15 31
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then x else i) * (i + 1)),x,1)
A160274-A072938: 1 2 6 12 60 360 2520
loop(\(x,i).(0 - x),x,loop(\(x,i).(x - ((i * i) - 1)),x,1))
A167386: 1 ~1 ~2 10 ~25 49 ~84 132 ~195 275 ~374 494 ~637 805 ~1000 1224
loop(\(x,i).((x * 2) - 1),x,loop(\(x,i).((x + 1) * 2),x,1))
A169726: 1 7 37 169 721 2977 12097 48769 195841 784897 3142657 12576769 50319361 201302017 805257217 3221127169
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x + 1) * 2),x,1))
A093801: 1 12 90 594 3726 22842 138510 835434 5025726 30193722 181280430 1088036874 6529284126 39178893402 235082926350 1410526255914
loop(\(x,i).((x - (if (i mod 2) <= 0 then 2 else (0 - 2))) * 2),x,1)
A083595: 1 6 8 20 36 76 148 300 596 1196 2388 4780 9556 19116 38228 76460
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),(2 + 2),x) + 1)
A222417-A194896: 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 6
loop(\(x,i).(x * 2),x,loop(\(x,i).((1 - x) * (2 + 2)),x,1))
A083295: 1 0 16 ~96 832 ~6528 52480 ~419328 3355648 ~26843136 214749184 ~1717985280 13743898624 ~109951156224 879609315328 ~7036874391552
loop(\(x,i).((if ((i mod (2 + 1)) - 1) <= 0 then x else 2) * 2),x,1)
A222011: 1 2 4 8
A167426: 1 2 4 8 16 4 8 16 4 8 16 4 8 16 4 8
(loop(\(x,i).(i * x),x,1) mod loop(\(x,i).((x * 2) * 2),x,1))
A212310: 0 1 2 6 24 120 720 5040 40320 100736 483072 2168064 9239552 53005312 205203456 930568192
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).((x * 2) * 2),x,1))
A064628: 1 1 1 2 3 4 5 7 9 13 17 23 31 42 56 74
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((x * 2) * 2),x,1))
A155592: 1 9 67 519 4111 32799 262207 2097279 16777471 134218239 1073742847 8589936639 68719480831 549755822079 4398046527487 35184372121599
loop(\(x,i).((x * 2) - 1),x,loop(\(x,i).((x * 2) * 2),x,1))
A155599: 1 7 61 505 4081 32737 262081 2097025 16776961 134217217 1073740801 8589932545 68719472641 549755805697 4398046494721 35184372056065
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1)
A002457: 1 6 30 140 630 2772 12012 51480 218790 923780 3879876 16224936 67603900 280816200 1163381400 4808643120
loop(\(x,i).(((if (i mod 2) <= 0 then (x * 2) else 0) + x) * 2),x,1)
A176710: 1 2 12 24 144 288 1728 3456 20736 41472 248832 497664 2985984 5971968 35831808 71663616
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((0 - x) * 2),x,1))
A071930: 0 6 12 72 240 1056 4032 16512 65280 262656 1047552 4196352 16773120 67117056 268419072 1073774592
loop(\(x,i).(1 - (x * 2)),x,loop(\(x,i).((1 - x) * 2),x,1))
A245489: 1 1 7 19 91 331 1387 5419 21931 87211 349867 1397419 5593771 22366891 89483947 357903019
loop(\(x,i).(0 - x),x,loop(\(x,i).(x - ((2 - x) * 2)),x,1))
A168589: 1 1 ~7 25 ~79 241 ~727 2185 ~6559 19681 ~59047 177145 ~531439 1594321 ~4782967 14348905
loop(\(x,i).(x * x),1,loop(\(x,i).(((x div 2) + x) * 2),x,1))
A270473: 1 4 36 324 2916 26244 236196 2125764 19131876 172186884 1549681956 13947137604 125524238436 1129718145924 10167463313316 91507169819844
((((if x <= 0 then 0 else 2) + 2) * 2) - (if (x - 2) <= 0 then x else 1))
A292510: 4 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then 1 else 0) + (x * 2)),x,1)
A222011: 1 2 4 8
A018299: 1 2 4 8 17 34 68 136
A083593: 1 2 4 8 17 34 68 136 273 546 1092 2184 4369 8738 17476 34952
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).(1 - (x * 2)),x,1))
A084175: 0 1 3 15 55 231 903 3655 14535 58311 232903 932295 3727815 14913991 59650503 238612935
loop(\(x,i).((0 - i) * x),x,loop(\(x,i).(1 - (x * 2)),x,1))
A052585: 1 1 6 30 264 2520 30960 428400 6894720 123742080 2478470400 54486432000 1308153369600 34005760588800 952248474777600 28566146568960000
loop(\(x,i).loop(\(x,i).((2 + 1) * x),(i - 1),(x * 2)),x,1)
A083667: 1 2 12 216 11664 1889568 918330048 1338925209984 5856458868470016 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),(x - (i + 2)),(x * 2)),x,1)
A222011: 1 2 4 8
A071071: 1 2 4 8 65536
((if (x mod (2 + 1)) <= 0 then 1 else 0) + loop(\(x,i).(x * 2),x,1))
A052935: 2 2 4 9 16 32 65 128 256 513 1024 2048 4097 8192 16384 32769
((if (x - 2) <= 0 then (x div 2) else 0) + loop(\(x,i).(x * 2),x,1))
A240951: 1 2 5 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768
loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1))
A063481: 2 12 80 576 4352 33792 266240 2113536 16842752 134479872 1074790400 8594128896 68736253952 549822922752 4398314946560 35185445830656
loop(\(x,i).((x * x) * (x - 1)),1,loop(\(x,i).(x * 2),x,1))
A059409: 0 4 48 448 3840 31744 258048 2080768 16711680 133955584 1072693248 8585740288 68702699520 549688705024 4397778075648 35183298347008
loop(\(x,i).(((x + 1) * x) + 2),1,loop(\(x,i).(x * 2),x,1))
A170938: 4 8 22 74 274 1058 4162 16514 65794 262658 1049602 4196354 16781314 67117058 268451842 1073774594
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1))
A188545: 1 3 10
A007582: 1 3 10 36 136 528 2080 8256 32896 131328 524800 2098176 8390656 33558528 134225920 536887296
loop(\(x,i).(((x - 1) * x) + 2),1,loop(\(x,i).(x * 2),x,1))
A170939: 2 4 14 58 242 994 4034 16258 65282 261634 1047554 4192258 16773122 67100674 268419074 1073709058
((if (x - 1) <= 0 then (x * 2) else 1) + loop(\(x,i).(x * 2),x,1))
A143096: 1 4 5 9 17 33 65 129 257 513 1025 2049 4097 8193 16385 32769
loop(\(x,i).((x * x) - (x div 2)),1,loop(\(x,i).(x * 2),x,1))
A131262: 1 3 14 60 248 1008
loop(\(x,i).(((x * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1))
A074603: 2 10 68 520 4112 32800 262208 2097280 16777472 134218240 1073742848 8589936640 68719480832 549755822080 4398046527488 35184372121600
loop(\(x,i).(((x * x) - 1) * x),1,loop(\(x,i).(x * 2),x,1))
A248217: 0 6 60 504 4080 32736 262080 2097024 16776960 134217216 1073740800 8589932544 68719472640 549755805696 4398046494720 35184372056064
(loop(\(x,i).((i * x) + 1),x,1) + loop(\(x,i).(x * 2),x,1))
A097656: 2 4 9 24 81 358 2021 13828 109857 986922 9865125 108507160 1302065441 16926805678 236975181189 3554627504844
(loop(\(x,i).((i * x) + 1),x,1) - loop(\(x,i).(x * 2),x,1))
A097204: 0 0 1 8 49 294 1893 13572 109345 985898 9863077 108503064 1302057249 16926789294 236975148421 3554627439308
loop(\(x,i).(((x * x) + 2) * x),1,loop(\(x,i).(x * 2),x,1))
A020530: 3 12 72 528 4128 32832 262272 2097408 16777728 134218752 1073743872 8589938688 68719484928 549755830272 4398046543872 35184372154368
loop(\(x,i).((x * 2) - 1),(x - 1),loop(\(x,i).(x * 2),x,1))
A134169: 1 2 7 29 121 497 2017 8129 32641 130817 523777 2096129 8386561 33550337 134209537 536854529
(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1))
A007689: 2 5 13 35 97 275 793 2315 6817 20195 60073 179195 535537 1602515 4799353 14381675
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),x,1))
A001047: 0 1 5 19 65 211 665 2059 6305 19171 58025 175099 527345 1586131 4766585 14316139
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).(x * 2),x,1))
A002380: 0 1 1 3 1 19 25 11 161 227 681 1019 3057 5075 15225 29291
loop(\(x,i).(((x * x) * 2) - 1),2,loop(\(x,i).(x * 2),x,1))
A020538: 1 97 1921 32257 522241 8380417 134184961 2147352577 34359214081 549753716737 8796084633601 140737454800897 2251799679467521 36028796482093057 576460750155939841 4611686018427387903
(loop(\(x,i).(i * x),(x + 2),2) + loop(\(x,i).(x * 2),x,1))
A133751: 5 14 52 248 1456 10112 80704 725888 7257856 79834112 958004224 12454043648 174356586496 2615348744192 41845579792384 711374856224768
loop(\(x,i).((x * 2) + 1),(x * 2),loop(\(x,i).(x * 2),x,1))
A155619: 1 11 79 575 4351 33791 266239 2113535 16842751 134479871 1074790399 8594128895 68736253951 549822922751 4398314946559 35185445830655
loop(\(x,i).((x * 2) - 1),(x * 2),loop(\(x,i).(x * 2),x,1))
A155629: 1 5 49 449 3841 31745 258049 2080769 16711681 133955585 1072693249 8585740289 68702699521 549688705025 4397778075649 35183298347009
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,1))
A027649: 1 4 14 46 146 454 1394 4246 12866 38854 117074 352246 1058786 3180454 9549554 28665046
loop(\(x,i).(((2 + 1) * x) + 2),x,loop(\(x,i).(x * 2),x,1))
A155604: 1 8 44 242 1376 8018 47384 282122 1686176 10097378 60525224 362974202 2177313776 13062288338 78368947064 470199333482
loop(\(x,i).(((2 + 1) * x) - 2),x,loop(\(x,i).(x * 2),x,1))
A155611: 1 4 28 190 1216 7534 45928 277750 1673056 10058014 60407128 362619910 2176250896 13059099694 78359381128 470170635670
(loop(\(x,i).((2 + 1) * x),x,x) + loop(\(x,i).(x * 2),x,1))
A086090: 1 5 22 89 340 1247 4438 15437 52744 177659 591514 1950665 6381388 20734391 66977950 215266373
((0 - 2) mod loop(\(x,i).(x - i),x,loop(\(x,i).(x * 2),x,1)))
A342352: 0 0 0 0 4 15 41 98 218 465 967 1980 4016 8099 16277 32646
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else x) + (x * 2)),x,1)
A018316: 1 3 9 19 57 171
loop(\(x,i).((if (x - (2 + 2)) <= 0 then 1 else x) * (x * 2)),x,1)
A222011: 1 2 4 8
A130693: 1 2 4 8 128
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) + (x * 2)),x,1)
A139486: 1 3 12 72 720 12960 440640 29082240 3780691200 975418329600 501365021414400 514400511971174400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),i,2) + x) + (x * 2)),x,1)
A102485: 1 7 29 103 341 1087 3389 10423 31781 96367 291149 877543 2640821 7938847 23849309 71613463
loop(\(x,i).loop(\(x,i).((0 - x) * (2 + 1)),i,(x * 2)),x,1)
A127946: 1 ~6 ~108 5832 944784 ~459165024 ~669462604992 2928229434235008 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(0 - x),x,loop(\(x,i).((1 - i) - (x * 2)),x,1))
A131959: 1 2 3 8
A103196: 1 2 3 8 13 30 55 116 225 458 907 1824 3637 7286 14559 29132
loop(\(x,i).loop(\(x,i).(((x * 2) * 2) * 2),i,(x * 2)),x,1)
A121366: 1 16 2048 2097152 17179869184 1125899906842624 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((2 + 2) + 1) * x),i,(x * 2)),x,1)
A127947: 1 10 500 125000 156250000 976562500000 30517578125000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((0 - i) - 1) * x),i,(x * 2)),x,1)
A112693: 1 ~4 ~48 2304 552960 ~796262400 ~8026324992000 647242847354880000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(0 - loop(\(x,i).((0 - i) * x),i,(x * 2))),x,1)
A156926: 1 2 ~8 ~96 4608 1105920 ~1592524800 ~16052649984000 1294485694709760000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,1) div 2) - (if (x mod 2) <= 0 then x else 1))
A293047: 0 0 0 3 4 15 26 63 120 255 502 1023 2036 4095 8178 16383
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * x) * 2),x,1))
A002542: 0 2 56 16256 1073709056 4611686016279904256 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,x) + x) div 2),x,1)
A156296: 1 2 10 140 5740 700280 255602200 279628806800 917462115110800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),i,x) div 2),x,1)
A171739: 1 3 54 5832 3779136 14693280768 342764853755904 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (loop(\(x,i).((x * 2) * 2),i,x) div 2)),x,1)
A290974: 1 ~1 7 ~217 27559 ~14082649 28827182503 ~236123451882073 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)
A000984: 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520
loop(\(x,i).(((2 + 1) * x) mod loop(\(x,i).(x * 2),i,2)),x,1)
A058842: 1 3 1 3 9 27 81 243 217 651 1953 1763 5289 15867 14833 44499
loop(\(x,i).((loop(\(x,i).((x - 2) * x),2,x) * i) div 2),x,1)
A297119: 1 1 3 4 96
loop(\(x,i).((x * x) div 2),(x div 2),(if x <= 0 then 0 else (x + 1)))
A261714: 0 2 4 8 72
loop(\(x,i).((i + 1) * x),((if x <= 0 then 1 else 2) + 2),(x + 1))
A247825: 24 240 360
loop(\(x,i).((if (2 - i) <= 0 then x else 1) + (x * 2)),x,(x + 1))
A081038: 1 5 21 81 297 1053 3645 12393 41553 137781 452709 1476225 4782969 15411789 49424013 157837977
loop(\(x,i).(if (x mod (2 + 2)) <= 0 then x else (x * 2)),x,(x + 1))
A084351: 1 4 12 4 20 12 28 8 36 20 44 12 52 28 60 16
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + (x + 1))
A132118: 1 2 4 4 6 8 7 9 11 13 11 13 15 17 19 16
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + (x + 1))
A094727: 1 2 3 3 4 5 4 5 6 7 5 6 7 8 9 6
loop(\(x,i).(((if (2 - i) <= 0 then x else 1) * 2) + x),x,(x + 1))
A006234: 1 4 15 54 189 648 2187 7290 24057 78732 255879 826686 2657205 8503056 27103491 86093442
loop(\(x,i).(if (x mod (2 + 2)) <= 0 then (x div 2) else x),x,(x + 1))
A327937-A259445: 1 2 3 2 5 6 7 2 9 10 11 6 13 14 15 2
loop(\(x,i).(loop(\(x,i).(x * x),2,(i * 2)) * x),x,(x + 1))
A280100: 1 32 12288 21233664 108716359680 1304596316160000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) - (x + 1)))
A136272: 1 3 6 7 11 12 13 18 19 20 21 27 28 29 30 31
loop(\(x,i).(x * x),(x - 1),loop(\(x,i).(i * x),x,(x + 1)))
A283261: 1 2 36 331776 42998169600000000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(x div 2),loop(\(x,i).(i * x),x,(x + 1)))
A064030: 1 2 36 576 207360000 268738560000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1)
A035031: 1 2 2 3 3 5 5 7 7 7 7 11 11 13 13 13
loop(\(x,i).((i - (if (i - x) <= 0 then (i * 2) else 0)) + x),x,1)
A008343: 1 0 2 5 1 6 0 7 15 6 16 5 17 4 18 3
loop(\(x,i).((if (i mod 2) <= 0 then (2 + 2) else (0 - 1)) * x),x,1)
A164111: 1 ~1 ~4 4 16 ~16 ~64 64 256 ~256 ~1024 1024 4096 ~4096 ~16384 16384
loop(\(x,i).(((if (i mod 2) <= 0 then (2 + 2) else 1) + 1) * x),x,1)
A004643: 1 2 10 20 100 200 1000 2000 10000 20000 100000 200000 1000000 2000000 10000000 20000000
loop(\(x,i).(loop(\(x,i).((i * i) * x),(i + 1),1) + x),x,1)
A104344: 1 5 41 617 15017 533417 25935017 1651637417 133333531817 13301522971817 1606652445211817 231049185247771817 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * i) * x),(i + 1),1) - x),x,1)
A092170: 1 3 33 543 13857 504543 24897057 1600805343 130081089057 13038108350943 1580312813889057 227862219988670943 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) * 2),(i - 1),1) + x),x,1)
A004400: 1 2 4 12 60 444 4284 50364 695484 11017404 196811964 3912703164 85662309564 2047652863164 53059407256764 1481388530277564
loop(\(x,i).((loop(\(x,i).((x * x) * 2),2,2) - 1) * x),x,1)
A138128: 1 127 16129 2048383 260144641 33038369407 4195872914689 532875860165503 67675234241018881 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A094969: 1 2 6 15 39 97 244 610 1525 3814 9536 23841 59604 149011 372529 931322
loop(\(x,i).((loop(\(x,i).((x + 1) * x),2,2) + 1) * x),x,1)
A009987: 1 43 1849 79507 3418801 147008443 6321363049 271818611107 11688200277601 502592611936843 21611482313284249 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) + 1),2,(2 + 1)) * x),x,1)
A096884: 1 101 10201 1030301 104060401 10510100501 1061520150601 107213535210701 10828567056280801 1093685272684360901 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then (x * 2) else (2 + 1)) + x),x,1)
A224785: 1 4 12 15 45 48 144 147 441 444 1332 1335 4005 4008 12024 12027
loop(\(x,i).loop(\(x,i).(i * x),((i * 2) * (2 + 1)),x),x,1)
A271946: 1 720 344881152000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),(i - 1),((2 + 1) * x)),x,1)
A132727: 1 3 18 216 5184 248832 23887872 4586471424 1761205026816 1352605460594688 2077601987473440768 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A074610: 2 12 90 756 6642 59292 532170 4785156 43053282 387440172 3486843450 31381236756 282430067922 2541867422652 22876797237930 205891146443556
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A059410: 0 6 72 702 6480 58806 530712 4780782 43040160 387400806 3486725352 31380882462 282429005040 2541864234006 22876787671992 205891117745742
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A026121: 0 3 36 351 3240 29403 265356 2390391 21520080 193700403 1743362676 15690441231 141214502520 1270932117003 11438393835996 102945558872871
(loop(\(x,i).(i * x),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A212309: 0 1 2 6 24 120 720 666 954 8586 26811 58725 173259 1189485 3898206 1077462
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((2 + 1) * x),x,1))
A155589: 1 7 39 223 1311 7807 46719 280063 1679871 10078207 60467199 362799103 2176786431 13060702207 78364180479 470185017343
loop(\(x,i).((x * 2) - 1),x,loop(\(x,i).((2 + 1) * x),x,1))
A155597: 1 5 33 209 1281 7745 46593 279809 1679361 10077185 60465153 362795009 2176778241 13060685825 78364147713 470184951809
loop(\(x,i).(x * 2),(x * x),loop(\(x,i).((2 + 1) * x),x,1))
A133460: 1 6 144 13824 5308416 8153726976 50096498540544 1231171548132409344 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x - 2) <= 0 then 1 else (x div (2 + 1))) + x),x,1)
A054961: 1 2 3 4 5 6 8 10 13 17
loop(\(x,i).loop(\(x,i).((0 - x) * 2),(i mod (2 + 1)),x),x,1)
A128018: 1 ~2 ~8 ~8 16 64 64 ~128 ~512 ~512 1024 4096 4096 ~8192 ~32768 ~32768
loop(\(x,i).((loop(\(x,i).(x * 2),i,(x * 2)) + 1) - x),x,1)
A277357: 1 4 29 436 13517 851572 108149645 27578159476 14092439492237 14416565600558452 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod 2) <= 0 then x else ((x div 2) + 1)) + x),x,1)
A181655: 1 2 4 7 14 22 44 67 134 202 404 607 1214 1822 3644 5467
loop(\(x,i).(loop(\(x,i).((i + 2) * x),(i - 2),1) + x),x,1)
A093468: 1 2 3 6 18 78 438 2958 23118 204558 2018958 21977358 261478158 3374988558 46964134158 700801318158
loop(\(x,i).(loop(\(x,i).(x * x),2,((i * 2) + 1)) + x),x,1)
A002309: 1 82 707 3108 9669 24310 52871 103496 187017 317338 511819 791660 1182285 1713726 2421007 3344528
loop(\(x,i).loop(\(x,i).((i * x) * 2),((i * 2) - 1),x),x,1)
A168442: 1 2 96 368640 237817036800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).(((i * 2) - 1) * x),x,1))
A020090: 1 0 0 1 6 29 162 1055 7918 67303 639383 6713530 77205601 965070017 13028445231 188912455860
loop(\(x,i).(loop(\(x,i).((i + 1) * x),(i * 2),1) + x),x,1)
A138523: 1 7 127 5167 368047 40284847 6267305647 1313941673647 357001369769647 122002101778601647 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - (x * 2)),(i div 2),1) + x),x,1)
A077874: 1 2 1 0 3 6 1 ~4 7 18 ~3 ~24 19 62 ~23 ~108
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 0 else i) + 1) * x),x,1)
A123144: 1 2 6 6 30 180 180 1440 12960 12960 142560 1710720 1710720 23950080 359251200 359251200
loop(\(x,i).(((if (x mod (i + 1)) <= 0 then 0 else i) + 1) * x),x,1)
A066616: 1 2 6 24 120 120 840 840 7560 7560 83160 83160 1081080 1081080 1081080 17297280
(x - (loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 1)),x,x) - 1))
A004201: 1 3 4 7 8 9 13 14 15 16 21 22 23 24 25 31
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) * x),x,1)
A015002: 1 5 105 8925 3043425 4154275125 22686496457625 495586515116818125 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) * (2 + 1)),i,1) + x),x,1)
A112370: 1 4 22 184 2128 31288 556168 11578648 276118168 7418685208 221695696408 7292837066008 261853926371608 10189736409290008 427160800691862808 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) * x),x,1)
A015001: 1 4 52 2080 251680 91611520 100131391360 328430963660800 3232089113385932800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) * (i + 1)),i,1) + x),x,1)
A016065: 1 3 15 159 3039 89439 3718239 206931039 14838252639 1331657196639 146181741036639 19266392807916639 3002019319241196639 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - ((x * 2) * 2)),i,1) * x),x,1)
A015017: 1 ~3 ~39 1989 407745 ~333943155 ~1094331718935 14343405840081045 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((1 - x) - (x * 2)),i,1) * x),x,1)
A015015: 1 ~2 ~14 280 17080 ~3108560 ~1700382320 2788627004800 13722833490620800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x - ((i * x) * 2)),i,1) + x),x,1)
A263801: 1 0 3 ~12 93 ~852 9543 ~125592 1901433 ~32557992 622171083 ~13127139492 303107003733 ~7602746576892 205855300099983 ~5984428053529392
(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))
A127739: 1 3 3 6 6 6 10 10 10 10 15 15 15 15 15 21
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((i + 1) * x)),x,1)
A290650: 1 2 1 4 2 1 7 56 28 14 7 84 42 21 315 5040
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,(i + 1)) - x),x,1)
A191010: 1 7 41 215 1065 5079 23593 107479 482345 2139095 9395241 40936407 177167401 762356695 3264175145 13915694039
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,(i + 1)) - x),x,1)
A191008: 1 5 22 86 319 1139 3964 13532 45517 151313 498226 1627538 5281195 17039327 54705208 174877304
loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + ((i - 1) * x)),x,1)
A195254: 1 2 6 20 76 336 1744 10592 74400 595712 5362432 53626368 589894144 7078737920 92023609344 1288330563584
loop(\(x,i).(loop(\(x,i).(i - ((1 - i) * x)),i,1) + x),x,1)
A285201: 1 2 5 14 45 174 825 4738 32137 251338 2224157 21952358 238962581 2843085270 36696680241 510647009850
loop(\(x,i).(loop(\(x,i).((i * i) * (i * x)),i,1) + x),x,1)
A289948: 1 2 10 226 14050 1742050 374990050 128399054050 65676719822050 47850402559694050 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(0 - x),x,(i * i)) - 1) * x),x,1)
A129464: 1 ~2 ~6 ~48 ~720 ~17280 ~604800 ~29030400 ~1828915200 ~146313216000 ~14485008384000 ~1738201006080000 ~248562743869440000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (2 - x) <= 0 then x else (2 + 1)) * 2) + x),x,1)
A083596: 1 7 21 63 189 567 1701 5103 15309 45927 137781 413343 1240029 3720087
A082541: 1 7 21 63 189 567 1701 5103 15309 45927 137781 413343 1240029 3720087 11160261 33480783
loop(\(x,i).(((if (i mod 2) <= 0 then (x - 2) else 1) * 2) + x),x,1)
A062547: 1 3 5 7 17 19 53 55 161 163 485 487 1457 1459 4373 4375
loop(\(x,i).(((if ((2 - x) + 2) <= 0 then x else 1) + 2) * x),x,1)
A078221: 1 3 9 99 9999 99999999 9999999999999999 4611686018427387903 4611686018427387903
loop(\(x,i).((((if (2 - x) <= 0 then 2 else 1) + 2) + 2) * x),x,1)
A052934: 1 5 30 180 1080 6480 38880 233280 1399680 8398080 50388480 302330880 1813985280 10883911680 65303470080 391820820480
loop(\(x,i).((((if (2 - x) <= 0 then x else 2) * 2) * 2) + x),x,1)
A270567-A189274: 1 9 45 225 1125 5625 28125 140625 703125 3515625 17578125 87890625 439453125 2197265625 10986328125 54931640625
loop(\(x,i).((if (i mod 2) <= 0 then (0 - 1) else (2 + 2)) * x),x,1)
A141125: 1 4 ~4 ~16 16 64 ~64 ~256 256 1024 ~1024 ~4096 4096 16384 ~16384 ~65536
loop(\(x,i).((if (2 - x) <= 0 then x else ((x + 2) * 2)) + x),x,1)
A135092: 1 7 14 28 56 112 224 448 896 1792 3584 7168 14336 28672 57344 114688
loop(\(x,i).(((if (i - 2) <= 0 then 1 else (x * 2)) * 2) + x),x,1)
A074701: 1 3 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625
loop(\(x,i).loop(\(x,i).((i + 1) * x),((i * 2) * 2),x),x,1)
A294320: 1 120 43545600 271159356948480000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else x) * 2) + x),x,1)
A057245-A018282: 1 3 9 11 33 99
loop(\(x,i).(((if (i mod (2 + 2)) <= 0 then 1 else x) * 2) + x),x,1)
A018644: 1 3 9 27 29 87 261 783
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 2 else x) * 2) + x),x,1)
A018292: 1 3 9 13 39 117
loop(\(x,i).(((if (i mod (2 + 2)) <= 0 then 2 else x) * 2) + x),x,1)
A018675: 1 3 9 27 31 93 279 837
loop(\(x,i).(if (x - 2) <= 0 then (x + 1) else ((x + 2) * x)),x,1)
A250404: 1 2 3 15 255 65535
(loop(\(x,i).((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),x,x) + 1)
A172984: 1 1 2 3 5 3 3 1 4 5 4 4 3 2 5 2
loop(\(x,i).((((if (i mod 2) <= 0 then 2 else x) + x) div 2) + x),x,1)
A222011: 1 2 4 8
A043816-A043807-A043799: 1 2 4 8 13 26 40 80 121 242 364 728 1093 2186 3280 6560
loop(\(x,i).(loop(\(x,i).(x * 2),i,((x * x) * 2)) + x),x,1)
A068531: 1 5 205 672605 14476720225405 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,x) div 2) + x),x,1)
A085521: 1 3 27 891 114939 58963707 120816635643 989850695823099 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - i) * x),2,(i + 2)) * x),x,1)
A090444: 1 24 2880 1036800 870912000 1463132160000 4424511651840000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),(i - 1),((i + 2) * x)),x,1)
A185970: 1 3 24 480 23040 2580480 660602880 380507258880 487049291366400 1371530804487782400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),(i - 2)) + x),x,1)
A065355: 1 0 0 2 14 86 566 4166 34406 316646 3219686 35878886 435046886 5704064486 80428314086 1213746099686
loop(\(x,i).loop(\(x,i).(x - ((i * x) * 2)),(i * 2),x),x,1)
A168440: 1 3 315 3274425 6637341335625 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).(i * x),(x - 2),((x * x) - 1)))
A261766: 1 0 3 8 30 144 840 5760 45360 403200 3991680 43545600 518918400 6706022400 93405312000 1394852659200
loop(\(x,i).(x * 2),x,loop(\(x,i).((2 + 1) * x),(x * x),1))
A135397: 1 6 324 157464 688747536 27113235502176 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x mod ((i + 2) + 1)) <= 0 then 1 else x) + x),x,1)
A222011: 1 2 4 8
A018366: 1 2 4 8 16 17 34 68 136 272
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then (2 + 1) else x) + x),x,1)
A222011: 1 2 4 8
A018277: 1 2 4 8 11 22 44 88
loop(\(x,i).((loop(\(x,i).(x * x),i,(2 + 1)) - x) * x),x,1)
A225168: 1 8 584 3490568 138073441864904 4611686018427387903 4611686018427387903
(loop(\(x,i).i,loop(\(x,i).(x div ((x mod 2) + 1)),x,x),x) + 1)
A274346: 1 2 3 4 5 3 7 8 9 5 11 3 13 7 15 16
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then (i + 1) else x) + x),x,1)
A222011: 1 2 4 8
A018285: 1 2 4 8 13 26 52 104
loop(\(x,i).(loop(\(x,i).((i * i) + x),(i + 1),x) + x),x,1)
A156928: 1 7 28 86 227 545 1230 2664 5613 11611 23728 48106 97031 195077 391394 784284
loop(\(x,i).(loop(\(x,i).(x * 2),(i - (x mod 2)),x) + x),x,1)
A082472: 1 2 10 90 1530 50490 3281850 423358650 108803173050 55816027774650 57211428469016250 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),x) - x),x,1)
A027877: 1 8 640 465920 3056435200 180476385689600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(0 - loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x * x)),x,1))
A168319: ~1 ~1 ~3 1 ~15 193 37185 1382724097 1911925928424465153 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),i,x) - x),x,1)
A027873: 1 5 175 37625 48724375 378832015625 17674407688984375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,x) - x),x,1)
A027876: 1 7 441 225351 922812345 30237792108615 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((0 - loop(\(x,i).((0 - x) * 2),i,x)) * x),x,1)
A331691: 1 2 ~16 2048 ~67108864 144115188075855872 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,x) - x),x,1)
A027872: 1 4 96 11904 7428096 23205371904 362560730628096 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - (2 mod (loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) - 1)))
A193592: 1 1 1 1 2 1 1 3 2 1 1 4 3 2 1 1
((x * 2) mod loop(\(x,i).((if (i - x) <= 0 then 0 else i) + x),x,1))
A336018: 0 0 1 0 1 3 5 0 1 3 5 7 9 11 13 0
loop(\(x,i).((((if (i mod 2) <= 0 then 2 else 0) + 1) * i) * x),x,1)
A059944: 1 1 6 18 216 1080 19440 136080 3265920 29393280 881798400 9699782400 349192166400 4539498163200 190658922854400 2859883842816000
loop(\(x,i).loop(\(x,i).(i * x),(((2 + 2) + 1) * i),x),x,1)
A268506: 1 120 435456000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i + 1) * x),((2 + 1) * i),x),x,1)
A294318: 1 24 120960 438939648000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((i * x) * 2) * (i + 1)),i,x),x,1)
A159783: 1 4 192 221184 10192158720 28179280429056000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((if (2 - x) <= 0 then 2 else 1) + 2) * i) * x),x,1)
A052592: 1 3 24 288 4608 92160 2211840 61931520 1981808640 71345111040 2853804441600 125567395430400 6027234980659200 313416218994278400 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((i * i) * x) * (2 + 2)),i,x),x,1)
A136807: 1 4 256 589824 86973087744 1282470362637926400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * 2) - 1) * x) * 2),i,x),x,1)
A110131: 1 2 24 2880 4838400 146313216000 97339256340480000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),x,1)
A000774: 1 2 5 17 74 394 2484 18108 149904 1389456 14257440 160460640 1965444480 26029779840 370643938560 5646837369600
loop(\(x,i).(loop(\(x,i).(0 - x),(i - 2),1) + (i * x)),x,1)
A110043: 1 2 5 14 57 284 1705 11934 95473 859256 8592561 94518170 1134218041 14744834532 206427683449 3096415251734
loop(\(x,i).(loop(\(x,i).((i * x) + 1),i,1) - (i * x)),x,1)
A087208: 1 1 3 7 37 141 1111 5923 62217 426457 5599531 46910271 739138093 7318002277 134523132927 1536780478171
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,1) + (i * x)),x,1)
A053487: 1 5 26 142 824 5144 34960 261104 2154368 19651456 197563136 2177388800 26145442816 339957865472 4759678552064 71396252022784
loop(\(x,i).(loop(\(x,i).((0 - x) * 2),i,1) + (i * x)),x,1)
A000023: 1 ~1 2 ~2 8 8 112 656 5504 49024 491264 5401856 64826368 842734592 11798300672 176974477312
loop(\(x,i).(loop(\(x,i).((i * x) + 2),i,1) + (i * x)),x,1)
A306495: 1 4 16 74 402 2542 18446 151482 1390738 14126582 157365222 1908110866 25022451482 352918443438 5327630246542 85716034274282
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (i * x)),x,1)
A053486: 1 4 17 78 393 2208 13977 100026 806769 7280604 72865089 801693126 9620848953 125072630712 1751021612937 26265338542962
loop(\(x,i).(loop(\(x,i).((i * i) * x),i,1) + (i * x)),x,1)
A143217: 1 2 8 60 816 18480 629280 29806560 1864154880 148459288320 14652782323200 1754531527795200 250496911136102400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),2) + (i * x)),x,1)
A000776: 1 3 8 28 124 668 4248 31176 259488 2416032 24886080 281004480 3451887360 45832538880 654109585920 9986000371200
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(i * x),x,1))
A055555: 1 1 3 21 300 7260 259560 12703320 812871360 65841128640 6584096534400 796675481078400 114721266640780800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) + 2) * x),1,loop(\(x,i).(i * x),x,1))
A020550: 3 3 12 228 13872 1728240 373249440 128024074080 65548320848640 47784725840597760 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(i * x),x,1))
A249945: 2 4 11 33 105 363 1449 7227 46881 382563 3687849 40093947 479533041 6228615123 87183074169 1307688716907
((loop(\(x,i).(x * 2),x,1) div 2) + loop(\(x,i).(i * x),x,1))
A089476: 1 2 4 10 32 136
loop(\(x,i).(x div (i + 1)),(x div 2),loop(\(x,i).(i * x),x,1))
A262033: 1 1 1 3 4 20 30 210 336 3024 5040 55440 95040 1235520 2162160 32432400
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(i * x),x,1))
A160624-A049606: 1 1 1 3 3 15 45 315 315 2835 14175 155925 467775 6081075 42567525 638512875
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then 1 else i) + (i * x)),x,1)
A344229: 1 2 6 21 85 430 2586 18109 144873 1303866 13038670 143425381 1721104573 22374359462 313241032482 4698615487245
loop(\(x,i).loop(\(x,i).(((i * x) * (2 + 1)) - x),i,x),x,1)
A263417: 1 2 20 1600 1408000 17346560000 3633063526400000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((loop(\(x,i).(i * x),i,1) + x) * i) + x),x,1)
A318165: 1 3 13
A121586: 1 3 13 70 446 3276 27252 253296 2602224 29288160 358457760 4740577920 67375532160 1024208720640 16583626886400 284953145702400
loop(\(x,i).loop(\(x,i).((((2 + 1) * i) - 2) * x),i,x),x,1)
A263416: 1 1 4 112 31360 114150400 6648119296000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * 2) - 1) * i) * x),i,x),x,1)
A121835: 1 1 6 540 1360800 154314720000 1154953090368000000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((i * i) * i) * (i * x)),i,x),x,1)
A168488: 1 1 16 20736 6879707136 1426576071720960000 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + ((i * i) * x)),x,1)
A216149: 1 3 16
A228513: 1 3 16 152 2448 61232 2204416 108016512 6913057024 559957619456 55995761946624 6775487195543552 975670156158275584 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else (x - (if (x mod (2 + 1)) <= 0 then 1 else 0))) div 2)
A243322: 1 0 1 1 2 2 2 3 4 4
(if x <= 0 then 1 else ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2))
A227783: 1 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4
(if (x - 1) <= 0 then x else ((if (x mod 2) <= 0 then (2 + 2) else 0) + 2))
A126664: 0 1 6 2 6 2 6 2 6 2 6 2 6 2 6 2
loop(\(x,i).(((x + 1) * x) + 1),(if (x mod 2) <= 0 then 2 else 0),2)
A278068: 57 2 57 2 57 2 57 2 57 2 57 2 57 2 57 2
(loop(\(x,i).((x * 2) + 1),x,(if (x mod 2) <= 0 then 2 else 0)) div 2)
A283507: 1 0 5 3 23 15 95 63 383 255 1535 1023 6143 4095 24575 16383
(if x <= 0 then (x - 1) else (loop(\(x,i).(i * i),(x - 2),0) + 2))
A102762: ~1 2 2 3 6 11 18 27 38 51 66 83 102 123 146 171
(if (x - 1) <= 0 then 1 else (if ((x div 2) mod 2) <= 0 then 2 else (0 - 2)))
A084100: 1 1 ~2 ~2 2 2 ~2 ~2 2 2 ~2 ~2 2 2 ~2 ~2
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else 2) else (x mod (0 - 2)))
A323202: 1 ~1 0 ~1 2 ~1 0 ~1 2 ~1 0 ~1 2 ~1 0 ~1
(loop(\(x,i).(2 - loop(\(x,i).((x - i) * 2),x,0)),x,0) div 2)
A105035: 0 1 5 2037
(loop(\(x,i).(x * x),2,loop(\(x,i).((x * 2) + 1),x,0)) - 2)
A118558: ~2 ~1 79 2399 50623 923519 15752959 260144639 4228250623 68184176639 1095222947839 17557851463679 281200199450623 4501401006735359 72040003462430719 1152780773560811519
(loop(\(x,i).(loop(\(x,i).(x * 2),x,(2 + 1)) div 2),x,0) * 2)
A173609: 0 2 6 24 12288
(loop(\(x,i).(((i * i) + x) + (if x <= 0 then 1 else 2)),x,0) * 2)
A121318: 0 4 16 38 74 128 204 306 438 604 808 1054 1346 1688 2084 2538
(loop(\(x,i).(((if x <= 0 then 1 else x) + (i div 2)) * 2),x,0) + 2)
A288170: 2 4 8 16 34 70 144 292 590 1186 2380 4768 9546 19102 38216 76444
(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + (if x <= 0 then 0 else 2))
A231369: 1 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19
(loop(\(x,i).(loop(\(x,i).((x * x) div 2),2,i) + x),x,0) div 2)
A059859: 0 0 1 5 21 57 138 282 538 938 1563 2463 3759 5523 7924 11060
(loop(\(x,i).((if (x - 2) <= 0 then 2 else (x - 2)) * i),x,0) + 2)
A152491: 2 4 6 8 18 72
((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * 2)
A040035: 6 2 12 2 12 2 12 2 12 2 12 2 12 2 12 2
(loop(\(x,i).((i * x) * 2),loop(\(x,i).(x * 2),x,1),1) div 2)
A028370: 1 4 192 5160960 685597979049984000 4611686018427387903
(if x <= 0 then 1 else ((loop(\(x,i).((x * x) + 2),x,1) + 1) * 2))
A002268: 1 8 24 248
(if x <= 0 then 1 else (loop(\(x,i).((x + 2) * 2),(x - 1),1) * 2))
A154252: 1 2 12 32 72 152 312 632 1272 2552 5112 10232 20472 40952 81912 163832
(if x <= 0 then 1 else (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2))
A260188-A048764: 1 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6
((if (x mod ((2 + 1) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1) + 2)
A081168: 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * 2)
A040063: 8 2 16 2 16 2 16 2 16 2 16 2 16 2 16 2
(if x <= 0 then 1 else ((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) + 2))
A188545: 1 3 10
A072988: 1 3 10 3 10 3 10 3 10 3 10 3 10 3 10 3
((if (if (x mod (2 + 1)) <= 0 then x else (x mod 2)) <= 0 then 2 else 1) + 2)
A171783: 4 3 4 3 4 3 3 3 4 3 4 3 3 3 4 3
(if x <= 0 then 1 else ((if (x - 2) <= 0 then (x * 2) else (2 + 1)) * 2))
A063808: 1 4 8 6 6 6 6 6 6 6 6 6 6 6 6 6
(if x <= 0 then 1 else loop(\(x,i).(x * 2),((x * 2) div (2 + 1)),2))
A222011: 1 2 4 8
A132720: 1 2 4 8 8 16 32 32 64 128 128 256 512 512 1024 2048
loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 1 else ((2 + 1) * 2)))
A165424: 1 6 6 36 1296 1679616 2821109907456 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (if (x - 2) <= 0 then 1 else 2) else ((2 + 1) * 2))
A078300: 1 6 1 6 2
((if x <= 0 then 2 else (if (x - (2 + 2)) <= 0 then (x - 2) else 1)) div 2)
A204853: 1 ~1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
(if (x - 1) <= 0 then x else (if (x mod 2) <= 0 then ((x * 2) - 1) else 2))
A266664: 0 1 3 2 7 2 11 2 15 2 19 2 23 2 27 2
loop(\(x,i).((0 - x) * (2 + 1)),x,((if x <= 0 then 2 else 1) + 2))
A256096: 4 ~9 27 ~81 243 ~729 2187 ~6561 19683 ~59049 177147 ~531441 1594323 ~4782969 14348907 ~43046721
(if (((2 + 2) * (2 + 1)) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 2)
A342510-A043557: 1 1 1 1 1 2 1 2 2 2 2 2 1 2 2 2
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x + 1) * 2),x,1) div 2))
A093357: 0 4 20 88 368 1504 6080 24448 98048 392704 1571840 6289408 25161728 100655104 402636800 1610579968
(loop(\(x,i).(((if (i mod 2) <= 0 then 2 else 0) + x) * 2),x,1) + 2)
A171160: 3 4 10 18 38 74 150 298 598 1194 2390 4778 9558 19114 38230 76458
loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).(x * 2),x,1) + 2))
A290718: 3 10 30 94 318 1150 4350 16894 66558 264190 1052670 4202494 16793598 67141630 268500990 1073872894
loop(\(x,i).(loop(\(x,i).((x * x) - 1),i,x) + 2),(x + 1),2)
A072952: 5 577 4611686018427387903
loop(\(x,i).((if (i - 2) <= 0 then 2 else x) + x),x,((x + 1) mod 2))
A104721: 1 2 5 8 20 32 80 128 320 512 1280 2048 5120 8192 20480 32768
loop(\(x,i).(x div 2),x,(loop(\(x,i).(i * x),x,(x + 1)) div 2))
A066979: 0 0 0 1 3 11 39 157 708 3543 19490 116943 760134 5320940 39907054 319256437
loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x * 2),(x - 1),2))
A211012: 0 0 8 48 224 960 3968 16128 65024 261120 1046528 4190208 16769024 67092480 268402688 1073676288
(loop(\(x,i).(x div 2),x,loop(\(x,i).(x * x),2,(x - 1))) div 2)
A036443: 0 0 0 1 2 4 4 5 4 4 3 2 1 1
(if x <= 0 then 1 else (if (x div (2 + 2)) <= 0 then x else ((x - 1) * 2)))
A089422: 1 1 2 3 6 8 10 12 14 16 18 20 22 24 26 28
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) * x),(x - 1),2)
A300361: 2 2 4 32 4096 134217728 288230376151711744 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then (2 + 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040024: 5 2 10 2 10 2 10 2 10 2 10 2 10 2 10 2
(((if (x mod 2) <= 0 then (2 + 2) else 0) + 2) * (if x <= 0 then 1 else 2))
A040032: 6 4 12 4 12 4 12 4 12 4 12 4 12 4 12 4
(((if (x mod 2) <= 0 then (2 + 2) else 1) * 2) * (if x <= 0 then 1 else 2))
A040059: 8 4 16 4 16 4 16 4 16 4 16 4 16 4 16 4
loop(\(x,i).(x * x),(((x * x) - 1) div 2),(if x <= 0 then 1 else 2))
A006263: 1 2 4 65536
(loop(\(x,i).((i * x) * 2),(x - 2),2) - (if x <= 0 then 1 else 2))
A033169: 1 0 0 2 14 94
(loop(\(x,i).(((x * 2) * 2) * 2),x,2) + (if x <= 0 then 1 else 2))
A291775: 3 18 130 1026
(if (2 - ((x mod 2) * x)) <= 0 then (x div 2) else (if x <= 0 then 1 else 2))
A168208: 1 2 2 1 2 2 2 3 2 4 2 5 2 6 2 7
loop(\(x,i).(((x * 2) - (i + 1)) * 2),x,(if x <= 0 then 1 else 2))
A151746: 1 4 10 32 118 460 1826 7288 29134 116516 466042 1864144 7456550 29826172 119304658 477218600
loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,(if x <= 0 then 1 else 2))
A182751: 1 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561
loop(\(x,i).((((2 + 1) * x) - 2) * x),x,(if x <= 0 then 1 else 2))
A099175: 1 8 176 92576 25710762176 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * i) + x),x,(x * x)) + (if x <= 0 then 1 else 2))
A110610: 1 4 11 25 48 82 129 191 270 368 487 629 796 990 1213 1467
(x - ((loop(\(x,i).((if x <= 0 then i else x) - 1),x,0) div 2) * 2))
A339132: 0 1 2 3 2 3 6 7 2 3 6 7 10 11 14 15
((loop(\(x,i).(if x <= 0 then (2 + 1) else (x * 2)),x,0) + 2) + 2)
A003461: 4 7 10 16 28 52 100 196 388 772 1540 3076 6148 12292 24580 49156
(if x <= 0 then 1 else ((loop(\(x,i).((x + 2) * 2),x,1) - 2) * 2))
A321237: 1 8 28 68 148 308 628 1268 2548 5108 10228 20468 40948 81908 163828 327668
(if x <= 0 then 1 else ((loop(\(x,i).((x + 1) * x),x,1) * 2) * 2))
A226962: 1 8 24 168 7224
(if (x - 2) <= 0 then (if x <= 0 then 1 else (((x * 2) * 2) * 2)) else 2)
A073926: 1 8 16 2
(if (x - (2 + 2)) <= 0 then (if x <= 0 then 0 else 1) else ((2 + 2) * 2))
A201053: 0 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8
loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 1 else ((2 + 2) * 2)))
A165426: 1 8 8 64 4096 16777216 281474976710656 4611686018427387903 4611686018427387903
(if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else x) else (2 + 2))
A113472: 1 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4
(if x <= 0 then 1 else (loop(\(x,i).((2 + 1) * x),x,x) * (2 + 2)))
A236967: 1 12 72 324 1296 4860 17496 61236 209952 708588 2361960 7794468 25509168 82904796 267846264 860934420
(loop(\(x,i).(x * 2),x,loop(\(x,i).((x * 2) + 1),x,2)) div 2)
A010036: 1 5 22 92 376 1520 6112 24512 98176 392960 1572352 6290432 25163776 100659200 402644992 1610596352
((((if x <= 0 then 2 else (if (x - 2) <= 0 then x else 1)) + x) + 2) * 2)
A329822: 8 8 12 12 14 16 18 20 22 24 26 28 30 32 34 36
(loop(\(x,i).(x * 2),x,loop(\(x,i).((i + x) + 1),x,2)) div 2)
A007466: 1 4 14 44 128 352 928 2368 5888 14336 34304 80896 188416 434176 991232 2244608
(loop(\(x,i).(i * x),x,loop(\(x,i).((i + x) + 1),x,2)) div 2)
A006595: 1 2 7 33 192 1320 10440 93240 927360 10160640 121564800 1576713600 22034073600 330032102400 5274286617600 89575694208000
(if (x mod 2) <= 0 then 1 else (loop(\(x,i).((x * 2) * 2),x,2) - 2))
A266302: 1 6 1 126 1 2046 1 32766 1 524286 1 8388606 1 134217726 1 2147483646
(loop(\(x,i).((if (i mod 2) <= 0 then i else 1) + (x * 2)),x,2) div 2)
A091919: 1 2 6 12 27 54 112 224 453 906 1818 3636 7279 14558 29124 58248
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,2)) - 2)
A005367: 4 18 70 270 1054 4158 16510 65790 262654 1049598 4196350 16781310 67117054 268451838 1073774590 4295032830
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,2)) - 2)
A170940: 0 10 54 238 990 4030 16254 65278 261630 1047550 4192254 16773118 67100670 268419070 1073709054 4294901758
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,2)) * 2)
A059153: 4 24 112 480 1984 8064 32512 130560 523264 2095104 8384512 33546240 134201344 536838144 2147418112 8589803520
loop(\(x,i).((x * 2) + 1),x,(loop(\(x,i).(x * 2),x,2) + 2))
A297928: 4 13 43 151 559 2143 8383 33151 131839 525823 2100223 8394751 33566719 134242303 536920063 2147581951
(loop(\(x,i).(if (x mod 2) <= 0 then (1 - x) else (x * 2)),x,2) div 2)
A077980: 1 ~1 ~1 1 3 ~3 ~5 5 11 ~11 ~21 21 43 ~43 ~85 85
(loop(\(x,i).(x * 2),x,loop(\(x,i).((i + x) + 2),x,2)) div 2)
A001793: 1 5 18 56 160 432 1120 2816 6912 16640 39424 92160 212992 487424 1105920 2490368
loop(\(x,i).(x * x),(x - 2),loop(\(x,i).(x * 2),(x + 2),2))
A239280: 8 16 32 4096
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,(x + 2)) div 2)
A333361: 1 1 0 1 0 0 1 1 0 0 1 1 2 0 0 1
(loop(\(x,i).((if (i - 2) <= 0 then 2 else x) + x),x,(x + 2)) div 2)
A109975: 1 2 4 9 20 44 96 208 448 960 2048 4352 9216 19456 40960 86016
(if x <= 0 then 1 else (if (x mod ((2 + 2) * 2)) <= 0 then (x - 2) else 2))
A063790: 1 2 2 2 2 2 2 2 6 2 2 2 2 2 2 2
loop(\(x,i).(x * 2),x,loop(\(x,i).((x + 1) * 2),(x * 2),2))
A147537: 2 28 248 2032 16352 131008 1048448 8388352 67108352 536869888 4294965248 34359734272 274877898752 2199023239168 17592186011648 140737488289792
loop(\(x,i).(x * x),2,loop(\(x,i).((x * 2) * 2),(x * 2),2))
A013804: 16 1048576 68719476736 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((if x <= 0 then i else x) - 1),x,2) + (x * 2)) * 2)
A079250: 4 6 8 16 18 20 34 36 38 40 42 44 70 72 74 76
loop(\(x,i).(x * x),(x * 2),(if x <= 0 then 1 else ((x * 2) * 2)))
A185981: 1 256 281474976710656 4611686018427387903
loop(\(x,i).(x * 2),(x div 2),(if x <= 0 then 1 else ((x mod 2) + 2)))
A145751-A063759: 1 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * x),x,2)) * 2)
A330826: 12 40 544 131584 8590065664
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * x),x,2)) div 2)
A040996: 1 6 120 32640 2147450880 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,loop(\(x,i).((i + x) + x),x,2)) div 2)
A112613: 1 5 24
A008464: 1 5 24 108 464 1936 7936 32192 129792 521472 2091008 8375296 33525760 134156288 536739840 2147205120
(if x <= 0 then 1 else (((if (x mod 2) <= 0 then (x * 2) else 0) + x) * 2))
A035877: 1 2 12 6 24 10 36 14 48 18 60 22 72 26 84 30
(loop(\(x,i).((if (2 - x) <= 0 then x else 2) + x),x,(0 - x)) * 2)
A131117: 0 2 4 6 8 12 16 24 32 48 64 96 128 192 256 384
(loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)) * 2)
A212012: 2 4 2 6 4 2 8 6 4 2 10 8 6 4 2 12
(loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)) div 2)
A060450: 0 1 0 1 1 0 2 1 1 0 2 2 1 1 0 3
((loop(\(x,i).(x * 2),(x div 2),1) div (if x <= 0 then 1 else x)) div 2)
A206559-A034397: 0 0 0 0 0 0 0 0 1 0 1 1 2 2 4 4
((if x <= 0 then 1 else (((2 + 2) * 2) mod (if x <= 0 then 1 else x))) mod 2)
A186741-A173864: 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0
((loop(\(x,i).(x * 2),x,2) - 1) * ((if x <= 0 then 1 else x) mod 2))
A277936: 1 3 0 15 0 63 0 255 0 1023 0 4095 0 16383 0 65535
loop(\(x,i).((((if (2 - i) <= 0 then x else 1) + x) * x) - 1),x,2)
A244014: 2 5 49 4801 46099201 4250272665676801 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) - 1),2,(x * x)) - 1),x,2)
A242835: 2 223 4611686018427387903
(if x <= 0 then 0 else loop(\(x,i).(((i + 2) * x) * (i + 1)),x,2))
A143248: 0 12 144 2880 86400 3628800 203212800 14631321600 1316818944000 144850083840000 19120211066880000 2982752926433280000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) + 1) * 2),x,2))
A115489: 2 20 168 1360 10912 87360 699008 5592320 44739072 357913600 2863310848 22906490880 183251935232 1466015498240 11728124018688 93824992215040
loop(\(x,i).(i + x),(x + 1),loop(\(x,i).((x + 1) * 2),x,2))
A145070: 3 9 20 40 77 147 282 546 1067 2101 4160 8268 16473 32871 65654 131206
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((x + 1) * 2),x,2))
A187560: 2 13 59 247 1007 4063 16319 65407 261887 1048063 4193279 16775167 67104767 268427263 1073725439 4294934527
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).((x + 1) * 2),x,2))
A147538: 2 24 224 1920 15872 129024 1040384 8355840 66977792 536346624 4292870144 34351349760 274844352512 2198889037824 17591649173504 140735340871680
(if x <= 0 then 1 else (loop(\(x,i).(i * x),((x - 1) * 2),x) * 2))
A166356: 1 2 8 144 5760 403200 43545600 6706022400 1394852659200 376610217984000 128047474114560000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - (if (i mod 2) <= 0 then 2 else (0 - 2))) * 2),x,2)
A115102: 2 8 12 28 52 108 212 428 852 1708 3412 6828 13652 27308 54612 109228
loop(\(x,i).(x * x),2,loop(\(x,i).(((x * 2) * 2) * 2),x,2))
A013758: 16 65536 268435456 1099511627776 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * 2),x,2))
A193475: 2 56 992 16256 261632 4192256 67100672 1073709056 17179738112 274877382656 4398044413952 70368735789056 1125899873288192 18014398375264256 288230375614840832 4611686016279904256
(loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(2 - x)) div 2)
A152146: 1 0 1 0 1 1 0 2 1 1 0 2 2 1 1 0
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) * 2),x,2)
A081956: 2 10 38 130 422 1330 4118 12610 38342 116050 350198 1054690 3172262 9533170 28632278 85962370
loop(\(x,i).((if ((i div 2) - 1) <= 0 then 1 else 0) + (x * 2)),x,2)
A248646: 2 5 11 23 46 92 184 368 736 1472 2944 5888 11776 23552 47104 94208
loop(\(x,i).(x * x),1,loop(\(x,i).((i mod 2) - (x * 2)),x,2))
A262473: 4 9 36 121 484 1849 7396 29241 116964 466489 1865956 7458361 29833444 119311929 477247716 1908903481
(loop(\(x,i).(x * 2),(x div 2),1) + loop(\(x,i).(x * 2),x,2))
A001445: 3 5 10 18 36 68 136 264 528 1040 2080 4128 8256 16448 32896 65664
loop(\(x,i).((x * x) + (x div 2)),1,loop(\(x,i).(x * 2),x,2))
A164051: 5 18 68 264 1040 4128 16448 65664 262400 1049088 4195328 16779264 67112960 268443648 1073758208 4295000064
loop(\(x,i).((x * x) - (x div 2)),1,loop(\(x,i).(x * 2),x,2))
A171499: 3 14 60 248 1008 4064 16320 65408 261888 1048064 4193280 16775168 67104768 268427264 1073725440 4294934528
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).(x * 2),x,2))
A171496: 6 28 120 496 2016 8128 32640 130816 523776 2096128 8386560 33550336 134209536 536854528 2147450880 8589869056
loop(\(x,i).(((x * x) - 2) * x),1,loop(\(x,i).(x * 2),x,2))
A020540: 4 56 496 4064 32704 262016 2096896 16776704 134216704 1073739776 8589930496 68719468544 549755797504 4398046478336 35184372023296 281474976579584
(loop(\(x,i).(i * x),x,(x + 1)) mod loop(\(x,i).(x * 2),x,2))
A068496: 1 2 6 8 24 16 48 128 384 768 1280 3072 3072 10240 22528 32768
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),x,2))
A003063: ~1 ~1 1 11 49 179 601 1931 6049 18659 57001 173051 523249 1577939 4750201 14283371
loop(\(x,i).(((i + 2) * x) + 2),2,loop(\(x,i).(x * 2),x,2))
A211715: 34 58 106 202 394 778 1546 3082 6154 12298 24586 49162 98314 196618 393226 786442
loop(\(x,i).(((i + x) * 2) + x),2,loop(\(x,i).(x * 2),x,2))
A305060: 28 46 82 154 298 586 1162 2314 4618 9226 18442 36874 73738 147466 294922 589834
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,2))
A056182: 0 2 10 38 130 422 1330 4118 12610 38342 116050 350198 1054690 3172262 9533170 28632278
loop(\(x,i).(((if (x - 2) <= 0 then 1 else x) + x) * (x div 2)),x,2)
A173501: 2 3 6 36 1296 1679616 2821109907456 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((x * x) * x),1,((x * x) * 2)),x,2)
A139302: 2 512 144115188075855872
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2)
A028329: 2 4 12 40 140 504 1848 6864 25740 97240 369512 1410864 5408312 20801200 80233200 310235040
loop(\(x,i).(x * x),1,loop(\(x,i).((i * x) * (i + 2)),x,2))
A179870: 4 36 2304 518400 298598400 365783040000 842764124160000 3344930808791040000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - x),(x div 2),(if (x mod 2) <= 0 then 1 else (x + 2)))
A077140: 1 3 0 ~4 1 7 0 ~8 1 11 0 ~12 1 15 0 ~16
loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x + 2))
A305430-A268101-A123318: 2 3 5 5 7 7 11 11 11 11 13 13 17 17 17 17
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + (x + 2))
A248110-A108872: 2 3 4 4 5 6 5 6 7 8 6 7 8 9 10 7
loop(\(x,i).((if (x - 2) <= 0 then 1 else 2) + x),(2 + 1),(x - 2))
A089743: 1 2 3 5 7 9 10 11 12 13 14 15 16 17 18 19
((if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) div 2) else 0) + (x * 2))
A184418: 1 2 5 6 10 10 15 14 20 18 25 22 30 26 35 30
loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - (x * 2)))
A057037: 1 1 2 4 2 5 3 1 5 3 1 6 4 2 8 6
(if x <= 0 then 1 else loop(\(x,i).((x - i) * (x - 2)),2,(x * 2)))
A095956: 1 4 16 324
(loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,2) + (x * 2))
A171757: 2 4 8 10 16 18 20 22 32 34 36 38 40 42 44 46
loop(\(x,i).(i * x),(x - 1),loop(\(x,i).(x * x),2,(x * 2)))
A174335: 0 16 256 2592 24576 240000 2488320 27659520 330301440 4232632320 58060800000 850068172800 13243436236800 218892235161600 3827475696844800 70614415872000000
(x - loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,(x * 2)))
A168038: 0 1 4 4 9 9 9 16 16 16 16 25 25 25 25 25
((if ((if x <= 0 then 1 else x) mod 2) <= 0 then 2 else (x * x)) + (x * 2))
A066107: 0 3 6 15 10 35 14 63 18 99 22 143 26 195 30 255
((if ((2 + 2) mod (if x <= 0 then 1 else x)) <= 0 then 2 else 1) + (x div 2))
A162897: 2 2 3 2 4 3 4 4 5 5 6 6 7 7 8 8
(1 - loop(\(x,i).((if x <= 0 then 2 else 0) - (x * 2)),x,(x mod 2)))
A086893: 1 3 5 13 21 53 85 213 341 853 1365 3413 5461 13653 21845 54613
loop(\(x,i).((if ((x * x) mod (i + 2)) <= 0 then 2 else 0) + x),x,2)
A309195: 2 2 4 4 4 4 6 8 8 8 8 8 8 8 10 10
loop(\(x,i).((x + 1) div 2),x,loop(\(x,i).((2 + 1) * x),x,2))
A117590: 2 3 5 7 11 16 23 35 52 77 116 173 260 390 584 876
loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),2)
A274139: 2 2 8 2 32 8 128 2 512 32 2048 8 8192 128 32768 2
loop(\(x,i).(loop(\(x,i).(x * x),i,((i * 2) + 1)) * x),x,2)
A191554: 2 18 11250 64854011250 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(1 - ((x + 1) * x)),x,2))
A093959: 4 25 361 116281 13441851721 4611686018427387903 4611686018427387903
(x - (loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 1)),x,x) - 2))
A166021: 2 4 5 8 9 10 14 15 16 17 22 23 24 25 26 32
(1 - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * 2))
A099375: 1 3 1 5 3 1 7 5 3 1 9 7 5 3 1 11
loop(\(x,i).((loop(\(x,i).(x * 2),i,2) div (i + 1)) + x),x,2)
A000801: 2 4 6 10 16 26 44 76 132 234 420 761 1391 2561 4745 8841
loop(\(x,i).(loop(\(x,i).(((i + 2) + 1) - x),i,1) * x),x,2)
A152873: 2 6 12 48 144 720 2880 17280 86400 604800 3628800 29030400 203212800 1828915200 14631321600 146313216000
(loop(\(x,i).(x - ((if (i - x) <= 0 then i else 0) div 2)),x,x) + 2)
A177876: 2 3 3 4
A336751: 2 3 3 4 4 5 4 5 6 5 6 7 5 6 7 8
loop(\(x,i).loop(\(x,i).(i * x),(((i * 2) + 1) * 2),x),x,2)
A294321: 2 1440 5225472000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i + 2) * x),(i * 2),2) + x),x,2)
A138524: 2 26 746 41066 3669866 482671466 87660962666 21010450850666 6423384156578666 2439325392333218666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),(((2 + 1) * i) + 2),x),x,2)
A294319: 2 240 9676800 386266890240000 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((if (x mod 2) <= 0 then 1 else x) + (x * x)) + 2))
A157615: 1 4 7 14 19 32 39 58 67 92 103 134 147 184 199 242
loop(\(x,i).((if ((x div (2 + 1)) - 2) <= 0 then 2 else x) * x),x,2)
A281291: 2 4 8 16 256 65536
((if (x - 1) <= 0 then (2 + 2) else 0) + loop(\(x,i).(x * x),x,2))
A299030: 6 8 16 256
(loop(\(x,i).(x * x),x,(2 + 1)) - loop(\(x,i).(x * x),x,2))
A167536: 1 5 65 6305 42981185 1853015893884545 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),(x * x),2) div loop(\(x,i).(i * x),x,2))
A127223: 1 1 12 60480 871782912000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) div (if i <= 0 then 1 else (i * i))) + x),x,2)
A061322: 2 6 15 40 140 924 24640 12415040 2408343949440 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,i),x,2)
A000381: 2 3 4 6 9 14 22 35 56 90 145 234 378 611 988 1598
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(x - 1),0) * x)
A288780: 0 0 2 9 36 165 918 6111 47304 416097 4091130 44417043 527456556 6798432069 94499679582 1408924024695
(loop(\(x,i).((if (i - x) <= 0 then 0 else i) + x),(x - 1),0) + x)
A004760: 0 1 3 6 7 12 13 14 15 24 25 26 27 28 29 30
loop(\(x,i).(if x <= 0 then ((i * i) + x) else x),(x + 1),(0 - x))
A253902: 1 4 3 2 1 9 8 7 6 5 4 3 2 1 16 15
loop(\(x,i).((if x <= 0 then 1 else (i * i)) + x),(x * 2),(0 - x))
A172076: 0 1 17 62 150 295 511 812 1212 1725 2365 3146 4082 5187 6475 7960
(if (x mod 2) <= 0 then ((if x <= 0 then 1 else x) + (x div 2)) else (0 - x))
A280167: 1 ~1 3 ~3 6 ~5 9 ~7 12 ~9 15 ~11 18 ~13 21 ~15
(loop(\(x,i).((if x <= 0 then (2 + 1) else x) * (2 + 1)),x,0) + x)
A301571: 0 10 29 84 247 734 2193 6568 19691 59058 177157 531452 1594335 4782982 14348921 43046736
compr(\x.(x - loop(\(x,i).((if x <= 0 then (i * 2) else x) - 1),x,0)),x)
A134025: 0 1 3 4 9 10 11 12 13 27 28 29 30 31 32 33
(loop(\(x,i).loop(\(x,i).((i * x) + 2),x,2),(x - 1),1) + x)
A274695: 1 2 6 133 4611686018427387903
loop(\(x,i).i,(if (x mod 2) <= 0 then (x mod ((2 + 1) * 2)) else 1),x)
A276094: 0 1 2 1 4 1 6 1 2 1 4 1 12 1 2 1
(if x <= 0 then 1 else (loop(\(x,i).i,(x - ((2 + 2) * 2)),1) * x))
A114800: 1 1 2 3 4 5 6 7 8 9 20 33 48 65 84 105
(loop(\(x,i).(x * 2),(x - 1),1) - (if (x mod 2) <= 0 then 1 else x))
A293046: 0 0 1 1 7 11 31 57 127 247 511 1013 2047 4083 8191 16369
loop(\(x,i).((i + x) div (x + 1)),loop(\(x,i).(x * 2),x,1),x)
A017910: 1 1 2 2 4 5 8 11 16 22 32 45 64 90 128 181
(loop(\(x,i).((loop(\(x,i).(x * x),i,x) * x) + 2),x,1) - x)
A049333: 1 2 243 4611686018427387903
loop(\(x,i).((if (i - 2) <= 0 then 1 else x) + (i * x)),(x + 1),x)
A006157: 1 5 28 180 1320 10920 100800 1028160 11491200 139708800 1836172800 25945920000 392302310400 6320426112000 108101081088000 1956280854528000
loop(\(x,i).(x - loop(\(x,i).((x - 1) * i),i,0)),(x - 1),x)
A002104: 0 1 3 8 24 89 415 2372 16072 125673 1112083 10976184 119481296 1421542641 18348340127 255323504932
loop(\(x,i).(((if (x - 2) <= 0 then 2 else i) * x) * 2),(x - 1),x)
A052656: 0 1 8 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 714164561510400 21424936845312000
loop(\(x,i).(((if (x - 2) <= 0 then 2 else i) + 1) * x),(x - 1),x)
A052655: 0 1 6 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 19615115520000
loop(\(x,i).((if (i mod 2) <= 0 then 2 else (0 - 2)) * x),(x - 1),x)
A118442: 0 1 ~4 ~12 32 80 ~192 ~448 1024 2304 ~5120 ~11264 24576 53248 ~114688 ~245760
(loop(\(x,i).((i + 1) - (i * x)),x,0) div (if x <= 0 then 1 else x))
A302190: 0 2 ~1 2 ~6 24 ~120 720 ~5040 40320 ~362880 3628800 ~39916800 479001600 ~6227020800 87178291200
(if x <= 0 then 1 else ((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)))
A263364: 1 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7
(loop(\(x,i).((x * 2) - 1),(x - 2),x) + (if x <= 0 then 1 else x))
A222011: 1 2 4 8
A154222: 1 2 4 8 17 38 87 200 457 1034 2315 5132 11277 24590 53263 114704
(loop(\(x,i).(((x + 1) * 2) + 1),x,x) + (if x <= 0 then 1 else x))
A269059: 1 6 19 48 113 258 579 1284 2821 6150 13319 28680 61449 131082 278539 589836
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),x,1)) + x)
A066084: 2 3 8 45 604 14525 519126 25406647 1625742728 131682257289 13168193068810 1593350962156811 229442533281561612 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(x - (i - x)),i,i) + x),x,1) + x)
A048503: 1 3 8 22 61 165 430 1080 2627 6223 14428 32874 73849 163977 360602 786604
loop(\(x,i).loop(\(x,i).(x - (i - ((i * i) * 2))),x,0),2,x)
A329755: 0 1 252 7337 84575 576080 2795121 10700382 34388362 96606475 243939410 564840991 1217275137 2469392562 4757404575 8765621740
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x)
A329424-A106610: 0 1 2 1 4 5 2 7 8 1 10 11 4 13 14 5
loop(\(x,i).(if (x mod 2) <= 0 then (x div (2 + 2)) else (x - 1)),2,x)
A035663: 0 0 0 0 0 1 0 1 0 2 0 2 2 3 2 3
compr(\x.((loop(\(x,i).loop(\(x,i).(i - x),x,x),x,x) + 1) mod 2),x)
A201363: 2 3 7
A338691: 2 3 7 8 10 11 12 15 18 19 23 26 27 28 31 32
loop(\(x,i).(((if x <= 0 then 1 else 2) + 2) - x),((2 + 2) * 2),x)
A275974: 1 1 2 3 3 3 3 3 4 5 6 7 8 9 10 11
loop(\(x,i).(x * x),1,((if (x - 2) <= 0 then 1 else (2 + 2)) + x))
A164839: 1 4 9 49 64 81
((if x <= 0 then 0 else (if (x - 2) <= 0 then 1 else ((x - 2) * 2))) + x)
A271876: 0 2 3 5 8 11 14 17 20
loop(\(x,i).(i - (if (x mod ((i * 2) + 1)) <= 0 then 0 else x)),2,x)
A195508: 1 2 3 1 5 6 1 8 9 1 11 2 1 14 15 1
loop(\(x,i).((if ((x div (2 + 2)) - i) <= 0 then 1 else 2) + x),2,x)
A121603: 2 3 4 5 6 7 8 9 11
A099649: 2 3 4 5 6 7 8 9 11 12 14 15 16 17 18 19
loop(\(x,i).loop(\(x,i).(x - ((x div 2) div (i + 1))),2,x),2,x)
A189721: 0 1 2 3 3 3 4 4 4 5 5 5 5 6 7 7
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),x)
A153167: 2 4 6 7 8 10 12 13 14 16 18 19 20 22 23 24
(if x <= 0 then 1 else loop(\(x,i).((i * i) * (i * 2)),(x - 2),x))
A001119: 1 1 2 2 16 54
loop(\(x,i).(((if (x mod 2) <= 0 then x else 1) * x) * x),(x - 2),x)
A132859: 0 1 2 9 262144
loop(\(x,i).(if (x mod 2) <= 0 then ((i * 2) + x) else 2),(x div 2),x)
A193422: 0 1 4 2 10 6 18 12 28 20 40 30 54 42 70 56
((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) mod (if x <= 0 then 2 else x))
A109038: 1 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2
loop(\(x,i).((loop(\(x,i).(x * x),(i + 1),x) * x) * x),2,x)
A276377: 0 1 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024019: 1 1 ~508 ~19675 ~262128 ~1953093 ~10077632 ~40353479 ~134217472 ~387419977 ~999998976 ~2357945643 ~5159776256 ~10604491181 ~20661030400 ~38443326607
(loop(\(x,i).(i * x),x,1) - loop(\(x,i).((x * x) * x),2,x))
A144768: 1 0 ~510 ~19677 ~262120 ~1953005 ~10076976 ~40348567 ~134177408 ~387057609 ~996371200 ~2318030891 ~4680778752 ~4377478573 66517244416 1269231008625
(2 - loop(\(x,i).loop(\(x,i).((x + 2) mod (i + 1)),x,0),x,x))
A142242: 2 2 0 2 0 0 ~4 2 0 0 ~4 0 ~4 ~4 ~12 2
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((x * 2) - 1),x,x))
A192021: 0 1 10 68 392 2064 10272 49216 229504 1048832 4719104 20972544 92276736 402657280 1744838656 7516209152
(x - loop(\(x,i).(x - (((if x <= 0 then 0 else i) * 2) + 1)),x,x))
A161983: 0 3 4 5 10 11 12 13 14 21 22 23 24 25 26 27
(1 - loop(\(x,i).(x - (if (2 - x) <= 0 then (i + 2) else 1)),x,x))
A171601: 1 1 3 3 3 6 6 6 6 10 10 10 10 10 15 15
(x - loop(\(x,i).(x - ((if x <= 0 then 1 else (i * 2)) - 1)),x,x))
A048761: 0 1 4 4 4 9 9 9 9 9 16 16 16 16 16 16
compr(\x.(loop(\(x,i).((if x <= 0 then (i * 2) else x) - 1),x,1) - x),x)
A095028: 1 3 4 5 9
A132141: 1 3 4 5 9 10 11 12 13 14 15 16 17 27 28 29
compr(\x.(loop(\(x,i).((x - 1) * 2),x,1) mod (if x <= 0 then 1 else x)),x)
A158611: 0 1 2 3 5 7 11 13 17 19 23 29 31 37 41 43
compr(\x.(loop(\(x,i).((2 - x) * 2),x,2) mod (if x <= 0 then 1 else x)),x)
A335402: 0 1 2 4 5 7 11 13 17 19 23 29 31 37 41 43
(if x <= 0 then 1 else (loop(\(x,i).((x * 2) - 1),(x - 2),x) * x))
A003013: 1 1 4 15 52 165 486 1351 3592 9225 23050 56331 135180 319501 745486 1720335
(loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x - 2),x) * x)
A103164: 0 1 4 9 4 25 6 49 8 9 10 121 12 169 14 15
(loop(\(x,i).((2 + 1) * x),x,x) - loop(\(x,i).(x * 2),x,x))
A004142: 0 1 10 57 260 1055 3990 14413 50440 172539 580250 1926089 6328140 20619703 66732190 214742085
(loop(\(x,i).((if (i - x) <= 0 then i else 0) - x),(x * 2),x) + x)
A094761: 0 1 3 5 4 6 8 10 12 9 11 13 15 17 19 21
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x)
A005430: 0 2 12 60 280 1260 5544 24024 102960 437580 1847560 7759752 32449872 135207800 561632400 2326762800
loop(\(x,i).(x - (x div ((if (x mod 2) <= 0 then 2 else i) + 2))),x,x)
A331135: 0 1 2 2 3 3 3 3 3 3 5 5 5 5 5 5
loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),(x * 2),(x * x))
A076816: 0 0 1 3 1 4 0 4 9 3 9 1 8 16 6 15
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024018: 1 1 ~252 ~6553 ~65520 ~390593 ~1679552 ~5764673 ~16776960 ~43046209 ~99998976 ~214356833 ~429977600 ~815722529 ~1475772672 ~2562857857
(loop(\(x,i).(i * x),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A196738: 1 0 ~254 ~6555 ~65512 ~390505 ~1678896 ~5759761 ~16736896 ~42683841 ~96371200 ~174442081 49019904 5411290079 85702502144 1305111477375
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x)
A005823: 0 2 6 8 18 20 24 26 54 56 60 62 72 74 78 80
loop(\(x,i).((((if (2 - i) <= 0 then x else 1) + x) * 2) + x),x,x)
A229279: 0 5 40 275 1750 10625 62500 359375 2031250 11328125 62500000 341796875 1855468750 10009765625 53710937500 286865234375
compr(\x.loop(\(x,i).(if (x mod (2 + 2)) <= 0 then x else (x div 2)),x,x),x)
A003754: 0 1 2 3 5 6 7 10 11 13 14 15 21 22 23 26
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,x)
A174002: 0 5 30 105 280 630 1260 2310 3960 6435 10010 15015 21840 30940 42840 58140
(if ((x mod (((2 + 2) * (2 + 1)) - 1)) - 1) <= 0 then 1 else 0)
A339627: 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0
(if ((x mod (((x div (2 + 1)) + 2) + 1)) - 1) <= 0 then 1 else 0)
A068434: 1 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0
(if (x mod ((x mod (((2 + 2) * 2) + 1)) + 1)) <= 0 then 1 else 0)
A025924: 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0
(if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 0)
A240025: 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0
(if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 0)
A336477: 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1
(if (x mod ((2 mod ((x div (2 + 2)) + 1)) + 1)) <= 0 then 1 else 0)
A328306: 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1
(if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 1 else 0)
A345950-A122895: 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1
(if (((x div 2) * x) mod ((x mod (2 + 1)) + 1)) <= 0 then 1 else 0)
A136442: 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1
(if ((((x - 2) * (2 + 1)) mod (x + 1)) - 1) <= 0 then 1 else 0)
A093709: 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0
(if ((x - 1) mod (((2 + 2) mod (x + 1)) + 1)) <= 0 then 1 else 0)
A155972: 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0
(if (x mod ((((x - 1) mod (2 + 1)) + 2) + 1)) <= 0 then 1 else 0)
A341024-A287457-A127842: 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1
(if (x mod ((((x * 2) mod (2 + 1)) * 2) + 1)) <= 0 then 1 else 0)
A164704: 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1
(if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 1 else 0)
A318983-A318982-A102448-A065803-A035153: 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1
(if (x mod ((((x div 2) mod (2 + 1)) * 2) + 1)) <= 0 then 1 else 0)
A153778: 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1
(if (2 - ((x * 2) mod (((2 + 1) * 2) + 1))) <= 0 then 1 else 0)
A095770: 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1
(if ((x + 1) mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 1 else 0)
A279693-A225542: 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1
(if (x mod ((((1 - x) mod (2 + 1)) + 2) + 1)) <= 0 then 1 else 0)
A338211-A281455: 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0
(if (x mod (2 - (x mod (((0 - 2) - 2) - 1)))) <= 0 then 1 else 0)
A266243: 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0
(if (x mod (((x mod ((2 + 1) * 2)) * 2) + 1)) <= 0 then 1 else 0)
A277264-A127840: 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0
(if ((x mod (((x div (2 + 2)) + 2) + 2)) - 1) <= 0 then 1 else 0)
A298246: 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1
(if (((x - 2) * x) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 0)
A281458: 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0
(if (x mod ((((0 - x) mod (2 + 2)) * 2) - 1)) <= 0 then 1 else 0)
A285621: 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1
(if ((x - 2) mod (((x mod (2 + 2)) * 2) - 1)) <= 0 then 1 else 0)
A261092-A145362: 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0
(if ((x * 2) mod ((((x + 2) + 2) + 2) + 1)) <= 0 then 1 else 0)
A156297: 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
(if (((x * 2) mod (((x div 2) + 2) + 2)) - 1) <= 0 then 1 else 0)
A293449: 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0
(if ((x div 2) mod ((((x mod 2) + 2) + 2) + 1)) <= 0 then 1 else 0)
A281815: 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0
(if ((x - 1) mod ((((x mod 2) + 2) * 2) + 1)) <= 0 then 1 else 0)
A288673: 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1
(if ((x - 2) mod ((((x mod 2) + 2) * 2) + 1)) <= 0 then 1 else 0)
A188371: 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0
(if ((x + 1) mod (((x div 2) mod (2 + 2)) + 1)) <= 0 then 1 else 0)
A087429: 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1
(if (((x div 2) * (x + 1)) mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A216577: 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0
(if ((x - (x div (0 - 2))) mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A281457: 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0
(if ((x - (x div (2 + 2))) mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A281245: 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0
(if ((((x div 2) + x) - 2) mod ((2 + 2) + 1)) <= 0 then 1 else 0)
A269245: 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1
(if ((x mod 2) - (1 - (x mod ((2 + 2) + 1)))) <= 0 then 1 else 0)
A333817: 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1
(if (x mod ((x + 1) div ((x div (2 + 2)) + 1))) <= 0 then 1 else 0)
A206567-A203945: 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0
(if (x - ((x * x) mod (((x + 2) + 2) + 1))) <= 0 then 1 else 0)
A085357: 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0
(if ((((x - 1) * 2) mod ((x div 2) + 2)) - 1) <= 0 then 1 else 0)
A254634-A108336: 1 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1
(if ((x + 2) mod ((x mod ((x div 2) + 2)) + 1)) <= 0 then 1 else 0)
A089012: 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0
(if ((x + 1) mod ((x div ((x mod 2) + 2)) + 1)) <= 0 then 1 else 0)
A322586-A147612: 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0
(if (x mod (((x div (2 + 2)) + 1) * (2 + 1))) <= 0 then 1 else 0)
A024692: 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0
(if (x mod ((x - (x div (2 + 1))) + (2 + 1))) <= 0 then 1 else 0)
A025923-A017878: 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0
(if ((x - (2 mod ((x div 2) + 1))) mod (2 + 1)) <= 0 then 1 else 0)
A299196: 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0
(if (((x mod (2 + 2)) * (x - 1)) mod (2 + 1)) <= 0 then 1 else 0)
A285568: 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1
(if ((x mod (((2 + 2) + 1) * 2)) mod (2 + 1)) <= 0 then 1 else 0)
A306383: 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0
(if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 0)
A286654-A285205-A188034-A003849: 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0
(if (x mod ((2 - ((x div 2) mod 2)) * (2 + 1))) <= 0 then 1 else 0)
A070563-A037011: 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1
(if (((((x div 2) - 1) * x) div 2) mod (2 + 1)) <= 0 then 1 else 0)
A082960: 1 0 1 1 0 0 1 0 1
A266502: 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1
(if ((x mod (2 + 2)) - ((x * 2) mod (2 + 1))) <= 0 then 1 else 0)
A285345: 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0
(if (x - (((x div 2) * (x div 2)) div (2 + 1))) <= 0 then 1 else 0)
A185364-A058276: 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1
(if ((((x div 2) div (2 + 1)) + x) mod (2 + 1)) <= 0 then 1 else 0)
A281271: 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0
(if (x mod (((2 + 2) * 2) - (x div (2 + 1)))) <= 0 then 1 else 0)
A307897-A008651: 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1
(if ((x mod ((2 + 2) * 2)) - (x div (2 + 1))) <= 0 then 1 else 0)
A017870: 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0
(if (x mod ((2 + 2) + 1)) <= 0 then ((x mod (2 + 1)) - 1) else 0)
A095408: ~1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 ~1
(if ((x - ((2 + 2) + 1)) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A197183: 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0
(if ((((x - 2) * 2) - 1) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A113047: 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0
(if ((((x * 2) * 2) + 1) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A255849: 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0
(if ((2 - (((x div 2) - 1) div 2)) mod (x + 1)) <= 0 then 1 else 0)
A017889: 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0
(if (2 - ((((2 + 2) * 2) * 2) mod (x + 1))) <= 0 then 1 else 0)
A236192: 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0
(if (x - 2) <= 0 then ((((x * 2) * 2) * (x - 1)) + 1) else 0)
A226121: 1 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0
((((2 + 2) * (2 + 1)) + x) - (if (x - 1) <= 0 then 1 else 0))
A247849: 11 12 14 15 16 17
(if ((x - 1) mod (2 - ((x div 2) div (0 - 2)))) <= 0 then 1 else 0)
A179828: 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0
(if ((x - 2) mod ((2 + 2) - (x div (0 - 2)))) <= 0 then 1 else 0)
A030565: 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0
(if (((2 - x) + 2) mod (2 - (x div (0 - 2)))) <= 0 then 1 else 0)
A127692: 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0
(if (((x * x) mod (((2 + 1) * 2) + 1)) - 2) <= 0 then 1 else 0)
A080764: 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1
(if (x mod (((x + 1) mod ((2 + 2) + 1)) + 2)) <= 0 then 1 else 0)
A086071: 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1
(if ((x + 2) mod ((x div ((2 + 2) + 1)) + 2)) <= 0 then 1 else 0)
A088517: 1 0 1 0 1 0 0 1 0 0 1 0 0 0 1 0
(if (x mod ((x - (x div ((2 + 2) + 1))) + 2)) <= 0 then 1 else 0)
A017890: 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0
(if ((x * x) mod ((x mod ((2 + 2) + 1)) + 2)) <= 0 then 1 else 0)
A108340: 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0
(if ((x - 2) mod (((x div (2 + 2)) + 1) * 2)) <= 0 then 1 else 0)
A088917: 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0
(if (((x - 1) mod (((x div 2) + 2) + 1)) div 2) <= 0 then 1 else 0)
A270803: 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0
(if ((x - ((x div 2) mod 2)) mod ((2 + 1) * 2)) <= 0 then 1 else 0)
A059117: 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0
(if (((x + 1) * 2) mod ((x div (2 + 1)) + 2)) <= 0 then 1 else 0)
A115356: 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 0
(if (x mod (2 + 2)) <= 0 then (((x div (2 + 1)) mod 2) + 1) else 0)
A258059: 1 0 0 0 2 0 0 0 1 0 0 0 1 0 0 0
(if (2 - x) <= 0 then ((((2 - (x mod 2)) + 1) * 2) + 1) else 0)
A021136: 0 0 7 5 7 5 7 5 7 5 7 5 7 5 7 5
(if ((((x - (2 + 2)) * 2) mod (x + 1)) div 2) <= 0 then 1 else 0)
A324822-A220945-A062892: 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0
(if ((x mod (2 + 1)) - ((x div (0 - 2)) mod 2)) <= 0 then 1 else 0)
A055088: 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1
(if (((x + 2) mod (((2 + 2) + 1) * 2)) - 2) <= 0 then 1 else 0)
A025918-A017868: 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0
(if ((x * 2) mod ((x mod ((2 + 1) * 2)) + 2)) <= 0 then 1 else 0)
A267525: 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1
(if (((x * 2) mod ((x div (2 + 1)) + 2)) - 2) <= 0 then 1 else 0)
A336546: 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1
(if ((x mod (2 - (x mod ((0 - 2) - 2)))) - 2) <= 0 then 1 else 0)
A334465-A137794: 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1
(if (((x + 2) mod (1 - ((2 + 2) * 2))) + 2) <= 0 then 1 else 0)
A285403: 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1
(if (((x * 2) mod (1 - ((2 + 2) * 2))) + 2) <= 0 then 1 else 0)
A286746: 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1
(if (x mod (((x + 2) mod ((2 + 2) * 2)) + 2)) <= 0 then 1 else 0)
A267463: 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1
(if ((((x div 2) + x) mod ((2 + 2) * 2)) - 2) <= 0 then 1 else 0)
A280454: 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 1 else 0)
A320841-A261477-A023531: 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0
(if (x mod ((x mod (((x mod 2) + 2) * 2)) + 2)) <= 0 then 1 else 0)
A181923: 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1
(if ((x mod (x - ((x + 1) mod (2 + 2)))) - 2) <= 0 then 1 else 0)
A334946-A225595: 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1
(if ((((x div 2) + 2) * x) mod ((2 + 2) * 2)) <= 0 then 1 else 0)
A343870-A339070-A091006: 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0
(if (x mod (2 + 1)) <= 0 then ((x div ((2 + 2) * 2)) + 1) else 0)
A341793-A341792-A341791-A341778-A341777-A341776-A341773: 1 0 0 1 0 0 1 0 0 2 0 0 2 0 0 2
(if (((((2 - x) div 2) - x) mod (2 + 2)) - 2) <= 0 then 1 else 0)
A188433: 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1
(if (x mod (2 + 2)) <= 0 then (((x div (2 + 2)) mod 2) + 1) else 0)
A126812-A008442: 1 0 0 0 2 0 0 0 1 0 0 0 2 0 0 0
(if (x mod (((x * x) mod ((x + 2) + 2)) + 2)) <= 0 then 1 else 0)
A116857: 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0
(if ((x - (2 + 1)) mod (((x div 2) + 2) + 2)) <= 0 then 1 else 0)
A030585: 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0
(if ((((1 - x) div 2) mod (x + 1)) mod (2 + 2)) <= 0 then 1 else 0)
A281082: 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0
(if ((x mod (2 + 1)) - ((x + 1) mod (2 + 2))) <= 0 then 1 else 0)
A143104: 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1
(if ((x - (x div ((2 + 2) * 2))) mod (2 + 2)) <= 0 then 1 else 0)
A303947-A280129-A111900: 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0
(if ((((x * x) div 2) mod (x + 2)) mod (2 + 2)) <= 0 then 1 else 0)
A183919: 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0
(x - (if (x mod 2) <= 0 then ((x div 2) mod ((2 + 2) + 1)) else 0))
A107128: 0 1 1 3 2 5 3 7 4 9 10 11 11 13 12 15
(if (x mod (2 + 2)) <= 0 then (1 - (x div ((2 + 2) + 1))) else 0)
A016343-A016328-A016289-A016193-A016049-A015857-A015569-A015329-A014849-A014033: 1 0 0 0 1 0 0 0 0 0 0 0 ~1 0 0 0
(if (((x div ((2 + 2) * 2)) + x) mod (2 + 2)) <= 0 then 1 else 0)
A281456: 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1
(if ((x div (2 + 2)) - ((2 - x) mod (2 + 2))) <= 0 then 1 else 0)
A190230: 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1
loop(\(x,i).(i + x),((((x mod 2) * x) div (2 + 2)) + 1),0)
A236939-A236936-A236915-A236865: 1 1 1 1 1 3 1 3 1 6 1 6 1 10 1 10
(if (x mod 2) <= 0 then ((x - 2) mod ((x div (2 + 2)) + 1)) else 0)
A342121: 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0
(if (x mod 2) <= 0 then ((2 - x) mod ((x div (2 + 2)) + 1)) else 0)
A100951: 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0
(if (((x * 2) mod (2 + 1)) - (x mod (2 + 2))) <= 0 then 1 else 0)
A239302-A105806: 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1
(if (((x * x) mod (((x div 2) + x) + 2)) div 2) <= 0 then 1 else 0)
A133100: 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0
(if ((x + 1) mod (((2 + 1) mod (x + 2)) + 2)) <= 0 then 1 else 0)
A339367: 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0
(if (x mod ((((2 + 2) * 2) - (x div 2)) * 2)) <= 0 then 1 else 0)
A324917: 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0
(if ((((x + 2) * x) + 1) mod ((x div 2) + 2)) <= 0 then 1 else 0)
A010058: 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0
(if ((((x * 2) + 1) * 2) mod ((x div 2) + 2)) <= 0 then 1 else 0)
A214263: 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0
(if (((x * x) + (x mod 2)) mod ((x div 2) + 2)) <= 0 then 1 else 0)
A216230: 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0
(if (x mod ((2 + 2) + 1)) <= 0 then (((x div 2) mod 2) + 1) else 0)
A001343: 1 0 0 0 0 1 0 0 0 0 2 0 0 0 0 2
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then (2 + 1) else 0)
A280051: 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0
loop(\(x,i).(i + x),((x div 2) - ((x - 1) div (2 + 1))),0)
A025796: 1 0 1 1 1 1 3 1 3 3 3 3 6 3 6 6
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 0)
A097017: 0 0 0 0 1 0 0 0 0 3 0 0 0 0 4 0
(if (x mod ((2 + 2) + 1)) <= 0 then (1 - (x mod (2 + 1))) else 0)
A015284-A014984-A014834-A014534: 1 0 0 0 0 ~1 0 0 0 0 0 0 0 0 0 1
loop(\(x,i).((((i + 1) div 2) * i) + x),((x * 2) + 1),0)
A051662: 1 9 32 78 155 271 434 652 933 1285 1716 2234 2847 3563 4390 5336
(if (((x + 2) mod ((2 + 1) * 2)) * (x div 2)) <= 0 then 1 else 0)
A023533-A014305: 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0
(if ((x * x) mod (((2 + 2) * 2) + (x div 2))) <= 0 then 1 else 0)
A340851-A178665: 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((x div 2) - 1) else 0)
A282530: 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 6
(if (((((x + 2) mod (2 + 2)) + 2) * 2) - x) <= 0 then 1 else 0)
A218754: 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1
(if ((((x + 2) + 1) mod ((2 + 2) * 2)) * x) <= 0 then 1 else 0)
A205809-A024941: 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0
(if (x - ((x * x) mod (((2 + 2) * 2) + x))) <= 0 then 1 else 0)
A229429-A166360: 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1
(if (((x * x) mod (x - ((2 - x) div 2))) - x) <= 0 then 1 else 0)
A175860: 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + 1),(x + 1),0)
A146884: 7 49 301 1813 10885 65317 391909 2351461 14108773 84652645 507915877 3047495269 18284971621 109709829733 658258978405 3949553870437
loop(\(x,i).(((i + x) + x) * ((2 + 2) + 1)),(x + 1),0)
A099672: 5 60 615 6170 61725 617280 6172835 61728390 617283945 6172839500 61728395055 617283950610 6172839506165 61728395061720 617283950617275 6172839506172830
(if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then (x + 1) else 0)
A065332: 1 2 3 4 0 6 0 8 9 0 0 12 0 0 0 16
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then (x + 1) else 0)
A308425-A187795: 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 0
loop(\(x,i).((((i * i) * (2 + 2)) + x) - 1),(x + 1),0)
A268484: 3 18 53 116 215 358 553 808 1131 1530 2013 2588 3263 4046 4945 5968
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then (x + 1) else 0)
A099894: 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16
loop(\(x,i).((((i + x) * (2 + 2)) + x) * 2),(x + 1),0)
A099675: 8 96 984 9872 98760 987648 9876536 98765424 987654312 9876543200 98765432088 987654320976 9876543209864 98765432098752 987654320987640 9876543209876528
loop(\(x,i).(((((i + x) + x) * 2) + x) * 2),(x + 1),0)
A099671: 4 48 492 4936 49380 493824 4938268 49382712 493827156 4938271600 49382716044 493827160488 4938271604932 49382716049376 493827160493820 4938271604938264
loop(\(x,i).((((i * i) * i) + x) + (x * 2)),(x + 1),0)
A066999: 1 11 60 244 857 2787 8704 26624 80601 242803 729740 2190948 6575041 19727867 59186976 177565024
loop(\(x,i).((((i mod 2) + x) * (2 + 1)) + x),(x + 1),0)
A043291: 3 12 51 204 819 3276 13107 52428 209715 838860 3355443 13421772 53687091 214748364 858993459 3435973836
loop(\(x,i).((((2 + 2) * 2) * (x + 1)) - x),(x + 1),0)
A146885: 8 64 456 3200 22408 156864 1098056 7686400 53804808 376633664 2636435656 18455049600 129185347208 904297430464 6330082013256 44310574092800
loop(\(x,i).(((i - 1) mod ((2 + 1) * 2)) + x),(x + 1),0)
A130484: 0 1 3 6 10 15 15 16 18 21 25 30 30 31 33 36
loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),(x + 1),0)
A062748: 3 9 19 34 55 83 119 164 219 285 363 454 559 679 815 968
loop(\(x,i).(((i - 1) mod ((2 + 2) * 2)) + x),(x + 1),0)
A130486: 0 1 3 6 10 15 21 28 28 29 31 34 38 43 49 56
loop(\(x,i).(((((i * 2) + 1) * i) * i) + x),(x + 1),0)
A024196: 3 23 86 230 505 973 1708 2796 4335 6435 9218 12818 17381 23065 30040 38488
((x mod 2) - loop(\(x,i).(((x - 1) * 2) - 1),(x - 1),0))
A192033: 0 1 3 10 21 46 93 190 381 766 1533 3070 6141 12286 24573 49150
(if ((x - 1) mod (((2 + 2) * 2) + 1)) <= 0 then (x - 1) else 0)
A193581: 0 0 0 0 0 0 0 0 0 0 9 0 0 0 0 0
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then (x - 1) else 0)
A331428: 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0
(1 - loop(\(x,i).((x - ((i div 2) mod 2)) * 2),(x - 1),0))
A078000-A007909: 1 1 1 3 7 13 25 51 103 205 409 819 1639 3277 6553 13107
(1 - loop(\(x,i).((x - ((i mod 2) * 2)) * 2),(x - 1),0))
A097074: 1 1 5 9 21 41 85 169 341 681 1365 2729 5461 10921 21845 43689
(1 - ((x mod 2) - loop(\(x,i).((x + 2) * 2),(x - 1),0)))
A283506: 1 0 5 12 29 60 125 252 509 1020 2045 4092 8189 16380 32765 65532
((x mod 2) - loop(\(x,i).(((i mod 2) + x) * 2),(x - 1),0))
A083944: 0 1 ~2 ~3 ~10 ~19 ~42 ~83 ~170 ~339 ~682 ~1363 ~2730 ~5459 ~10922 ~21843
loop(\(x,i).(((i mod 2) * (x + 1)) + (x * 2)),(x - 1),0)
A329115: 0 0 1 2 7 14 43 86 259 518 1555 3110 9331 18662 55987 111974
loop(\(x,i).((((i + x) + x) * (2 + 2)) + x),(x - 1),0)
A002754: 0 0 4 44 408 3688 33212 298932 2690416 24213776 217924020 1961316220 17651846024 158866614264 1429799528428 12868195755908
((((2 + 2) * (x + 1)) * (x + 1)) + (if x <= 0 then 1 else 0))
A184635: 5 16 36 64 100 144 196 256 324 400 484 576 676 784 900 1024
((((((x * 2) * 2) + 1) * 2) * 2) + (if x <= 0 then 1 else 0))
A063110: 5 20 36 52 68 84 100 116 132 148 164 180 196 212 228 244
((((((x + 2) * x) + 2) * 2) * 2) - (if x <= 0 then 1 else 0))
A162024: 7 20 40 68 104 148 200 260 328 404 488 580 680 788 904 1028
(((((x div (2 + 2)) + 2) * 2) + x) - (if x <= 0 then 1 else 0))
A154663: 3 5 6 7 10 11
(x - (if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 0))
A331173: 0 1 2 3 4 5 6 5 8 9 10 11 12 13 14 15
(x - (if (x mod 2) <= 0 then (x mod (((2 + 2) + 1) * 2)) else 0))
A210524: 0 1 0 3 0 5 0 7 0 9 10 11 10 13 10 15
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then ((2 + 1) * 2) else 0)
A323487: 0 0 0 0 0 0 6 0 0 0 0 0 0 0 6 0
loop(\(x,i).(((x + 2) * (2 + 1)) + 2),((x + 1) * 2),0)
A173952: 32 320 2912 26240 236192 2125760 19131872 172186880 1549681952 13947137600 125524238432 1129718145920 10167463313312 91507169819840 823564528378592 7412080755407360
(x - loop(\(x,i).i,((x mod (((2 + 2) + 1) * 2)) - 2),0))
A171818: 0 1 2 2 2 2 2 2 2 2 10 11 12 12 12 12
(2 - (if (x mod 2) <= 0 then (((x mod (2 + 1)) div 2) - 2) else 0))
A291357: 4 2 3 2 4 2 4 2 3 2 4 2 4 2 3 2
(if (x mod (2 + 1)) <= 0 then ((x div ((0 - 2) - 2)) mod 2) else 0)
A024889: 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0
(1 - (if ((x - (2 + 2)) mod ((2 + 2) * 2)) <= 0 then 2 else 0))
A156608: 1 1 1 1 ~1 1 1 1 1 1 1 1 ~1 1 1 1
(1 - (if ((x + 1) mod (((x div 2) + 2) + 2)) <= 0 then 2 else 0))
A157895: 1 1 1 1 1 ~1 ~1 1 1 1 1 1 1 1 1 1
(if (x mod (2 + 2)) <= 0 then (x mod ((x div (2 + 2)) + 2)) else 0)
A334348-A331902-A257685: 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0
(x - (if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 2 else 0))
A103303: 0 1 2 3 4 5 6 7 8 9
A331166: 0 1 2 3 4 5 6 7 8 9 10 11 12 11 14 15
(1 - (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0))
A291568: 1 1 1 1 ~3 1 1 1 1 ~3 1 1 1 1 ~3 1
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then (2 + 2) else 0)
A318679-A308429-A308428-A308426-A089371: 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
loop(\(x,i).((((2 + 2) + 1) * x) + 1),((x + 2) * 2),0)
A275766: 156 3906 97656 2441406 61035156 1525878906 38146972656 953674316406 23841857910156 596046447753906 14901161193847656 372529029846191406 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((x div 2) - 2) else 0)
A068385: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 5
(if ((x + 2) mod ((x mod 2) + 2)) <= 0 then ((x div 2) * 2) else 0)
A046666: 0 0 2 0 4 0 6 6 8 0 10 0 12 12 14 0
(if (x mod ((2 + 2) + 1)) <= 0 then (1 - ((x mod 2) * 2)) else 0)
A014359: 1 0 0 0 0 ~1 0 0 0 0 1 0 0 0 0 ~1
(if ((x div (2 + 2)) - 1) <= 0 then (1 - ((x mod 2) * 2)) else 0)
A292560: 1 ~1 1 ~1 1 ~1 1 ~1 0 0 0 0 0 0 0 0
(if (x - ((2 + 1) * 2)) <= 0 then (1 - ((x mod 2) * 2)) else 0)
A015171-A015115-A015031-A015003-A014947-A014863-A014835-A014751-A014667-A014611-A014583-A014527-A014443-A014415-A014331-A014275-A014247: 1 ~1 1 ~1 1 ~1 1 0 0 0 0 0 0 0 0 0
((((x + 1) * x) * (2 + 1)) + (if (x mod 2) <= 0 then 2 else 0))
A202963: 2 6 20 36 62 90 128 168 218 270 332 396 470 546 632 720
((((x * 2) + 1) * (x + 1)) + (if (x mod 2) <= 0 then 2 else 0))
A235088: 3 6 17 28 47 66 93 120 155 190 233 276 327 378 437 496
(if (((((x div 2) - 1) div (2 + 1)) mod 2) * x) <= 0 then 2 else 0)
A089582: 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 2
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then (x + 2) else 0)
A270034: 0 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0
loop(\(x,i).(((((i + 1) * i) div 2) + x) + 2),(x + 2),0)
A255993: 8 16 28 45 68 98 136 183 240 308 388 481 588 710 848 1003
(if (x mod (2 + 2)) <= 0 then ((2 - (x div 2)) div (x + 2)) else 0)
A321376: 1 0 0 0 0 0 0 0 ~1 0 0 0 ~1 0 0 0
(if ((x - 2) mod ((2 + 2) * (2 + 1))) <= 0 then (x - 2) else 0)
A340362: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0
loop(\(x,i).((x + 1) mod ((i div (2 + 1)) + 2)),(x - 2),0)
A255120: 0 0 0 1 0 1 2 0 1 2 3 4 0 1 2 3
(1 - loop(\(x,i).((((i mod 2) * 2) + x) * 2),(x - 2),0))
A173114: 1 1 1 ~3 ~7 ~19 ~39 ~83 ~167 ~339 ~679 ~1363 ~2727 ~5459 ~10919 ~21843
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),0)
A099814: 0 11 1111 111111 11111111 1111111111 111111111111 11111111111111 1111111111111111 111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then (x div 2) else 0)
A048894: 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0
((x mod 2) - loop(\(x,i).((2 + 2) * (x - 1)),(x div 2),0))
A080610: 0 1 4 5 20 21 84 85 340 341 1364 1365 5460 5461 21844 21845
(0 - (x mod (1 - (if (x mod (2 + 2)) <= 0 then (x div 2) else 0))))
A160086: 0 0 0 0 0 0 0 0 1 0 0 0 3 0 0 0
((x mod 2) - loop(\(x,i).(((2 + 1) * x) - 2),(x div 2),0))
A030439: 0 1 2 3 8 9 26 27 80 81 242 243 728 729 2186 2187
(if (((x * 2) div (2 + 1)) mod (2 + 1)) <= 0 then (x mod 2) else 0)
A324964: 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0
((((((2 + 2) * 2) + x) * 2) + 1) - (if x <= 0 then 2 else 0))
A224535: 15 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + 1),x,0)
A073549-A002280: 0 6 66 666 6666 66666 666666 6666666 66666666 666666666 6666666666 66666666666 666666666666 6666666666666 66666666666666 666666666666666
loop(\(x,i).((((x * 2) * 2) * ((2 + 2) + 1)) + 1),x,0)
A064108: 0 1 21 421 8421 168421 3368421 67368421 1347368421 26947368421 538947368421 10778947368421 215578947368421 4311578947368421 86231578947368421 1724631578947368421
loop(\(x,i).((((x * 2) * (2 + 1)) * (2 + 1)) + 1),x,0)
A218721: 0 1 19 343 6175 111151 2000719 36012943 648232975 11668193551 210027483919 3780494710543 68048904789775 1224880286215951 22047845151887119 396861212733968143
loop(\(x,i).(((((x * 2) * 2) * 2) * (2 + 1)) + 1),x,0)
A218727: 0 1 25 601 14425 346201 8308825 199411801 4785883225 114861197401 2756668737625 66160049703001 1587841192872025 38108188628928601 914596527094286425 4611686018427387903
(1 - loop(\(x,i).((((x * 2) * 2) * (2 + 1)) - 1),x,0))
A196791: 1 2 14 158 1886 22622 271454 3257438 39089246 469070942 5628851294 67546215518 810554586206 9726655034462 116719860413534 1400638324962398
loop(\(x,i).(((((2 + 1) * x) + 2) * (2 + 1)) - 1),x,0)
A125962: 0 5 50 455 4100 36905 332150 2989355 26904200 242137805 2179240250 19613162255 176518460300 1588666142705 14297995284350 128681957559155
(1 - loop(\(x,i).((((2 + 1) * x) * (2 + 1)) - 1),x,0))
A047854: 1 2 11 92 821 7382 66431 597872 5380841 48427562 435848051 3922632452 35303692061 317733228542 2859599056871 25736391511832
loop(\(x,i).(x - ((x div ((0 - i) - (2 + 1))) - 1)),x,0)
A279539: 0 1 3 5 7 9 11 14 17 20 23 26 29 32 35 38
loop(\(x,i).(((1 - x) * 2) mod (((2 + 1) * 2) + 1)),x,0)
A021043: 0 2 5 6 4 1 0 2 5 6 4 1 0 2 5 6
loop(\(x,i).((((x * x) div ((x div 2) + 1)) * 2) + 1),x,0)
A088110: 0 1 3 9
A084508: 0 1 3 9 33 129 513 2049 8193 32769 131073 524289 2097153 8388609 33554433 134217729
loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,0)
A002277: 0 3 33 333 3333 33333 333333 3333333 33333333 333333333 3333333333 33333333333 333333333333 3333333333333 33333333333333 333333333333333
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * 2) + 1),x,0)
A132469: 0 1 33 1057 33825 1082401 34636833 1108378657 35468117025 1134979744801 36319351833633 1162219258676257 37191016277640225 1190112520884487201 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) - (x mod (((2 + 2) * 2) + 1))),x,0)
A103303: 0 1 2 3 4 5 6 7 8 9
A340254-A317110-A227378-A226637-A051885: 0 1 2 3 4 5 6 7 8 9 19 29 39 49 59 69
loop(\(x,i).((((x + 2) + 2) + 1) * ((2 + 2) + 1)),x,0)
A168571: 0 25 150 775 3900 19525 97650 488275 2441400 12207025 61035150 305175775 1525878900 7629394525 38146972650 190734863275
(2 - loop(\(x,i).(((x * 2) - 1) * ((2 + 2) + 1)),x,0))
A178769: 2 7 57 557 5557 55557 555557 5555557 55555557 555555557 5555555557 55555555557 555555555557 5555555555557 55555555555557 555555555555557
(1 div (2 - (if ((x - 1) mod ((2 + 2) + 1)) <= 0 then x else 0)))
A030213: 0 1 0 0 0 0 ~1 0 0 0 0 ~1 0 0 0 0
(1 - loop(\(x,i).(((x - 2) * 2) * ((2 + 2) + 1)),x,0))
A165402: 1 21 221 2221 22221 222221 2222221 22222221 222222221 2222222221 22222222221 222222222221 2222222222221 22222222222221 222222222222221 2222222222222221
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then x else 0)
A102391: 0 0 0 3 0 5 6 0 0 9 10 0 12 0 0 15
loop(\(x,i).(x - ((((x mod 2) - (x * 2)) * 2) - 1)),x,0)
A015531: 0 1 4 21 104 521 2604 13021 65104 325521 1627604 8138021 40690104 203450521 1017252604 5086263021
loop(\(x,i).(((((i mod 2) + x) + (x * 2)) * 2) - 1),x,0)
A015540: 0 1 5 31 185 1111 6665 39991 239945 1439671 8638025 51828151 310968905 1865813431 11194880585 67169283511
loop(\(x,i).(((((x * 2) * 2) + (i mod 2)) * 2) - 1),x,0)
A082310: 0 1 7 57 455 3641 29127 233017 1864135 14913081 119304647 954437177
A015565: 0 1 7 57 455 3641 29127 233017 1864135 14913081 119304647 954437177 7635497415 61083979321 488671834567 3909374676537
((x mod 2) - loop(\(x,i).(((x - (i mod 2)) * 2) + 1),x,0))
A155944: 0 2 1 4 5 12 21 44 85 172 341 684 1365 2732 5461 10924
loop(\(x,i).((x - (1 - (i mod (2 + 1)))) * (2 + 1)),x,0)
A152733: 0 0 3 6 18 57 168 504 1515 4542 13626 40881 122640 367920 1103763 3311286
(if (x - 2) <= 0 then ((((x mod 2) + 1) * (2 + 1)) + x) else 0)
A301755: 3 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0
(1 - loop(\(x,i).((((2 + 1) * x) - 1) * (2 + 1)),x,0))
A039306: 1 4 31 274 2461 22144 199291 1793614 16142521 145282684 1307544151 11767897354 105911076181 953199685624 8578797170611 77209174535494
loop(\(x,i).(((((x + 2) + 2) + 1) * 2) * (2 + 1)),x,0)
A178672: 0 30 210 1290 7770 46650 279930 1679610 10077690 60466170 362797050 2176782330 13060694010 78364164090 470184984570 2821109907450
loop(\(x,i).(x - (1 - (((x + 1) * 2) * (2 + 1)))),x,0)
A125729: 0 5 40 285 2000 14005 98040 686285 4804000 33628005 235396040 1647772285 11534406000 80740842005 565185894040 3956301258285
loop(\(x,i).(((((x + 2) + 2) + 2) * 2) * (2 + 1)),x,0)
A247840: 0 36 252 1548 9324 55980 335916 2015532 12093228 72559404 435356460 2612138796 15672832812 94036996908 564221981484 3385331888940
(1 - loop(\(x,i).(x - (1 - ((x * 2) * (2 + 1)))),x,0))
A047852: 1 2 9 58 401 2802 19609 137258 960801 6725602 47079209 329554458 2306881201 16148168402 113037178809 791260251658
(1 - loop(\(x,i).(((i * x) - (i div 2)) * (2 + 1)),x,0))
A266757: 1 1 4 31 367
(1 - (if (x mod (2 + 1)) <= 0 then ((x div (2 + 1)) - x) else 0))
A101443: 1 1 1 3 1 1 5 1 1 7 1 1 9 1 1 11
(2 - loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,0))
A098406: 2 3 13 113 1113 11113 111113 1111113 11111113 111111113 1111111113 11111111113 111111111113 1111111111113 11111111111113 111111111111113
loop(\(x,i).(((((2 + 2) * (x + 1)) + x) * 2) - 1),x,0)
A002281: 0 7 77 777 7777 77777 777777 7777777 77777777 777777777 7777777777 77777777777 777777777777 7777777777777 77777777777777 777777777777777
(1 - loop(\(x,i).(((2 + 2) * 2) * ((x * 2) - 1)),x,0))
A139760: 1 9 137 2185 34953 559241 8947849 143165577 2290649225 36650387593 586406201481 9382499223689 150119987579017 2401919801264265 38430716820228233 614891469123651721
(((2 + 2) * (2 + 1)) - loop(\(x,i).((x * 2) - 1),x,0))
A267615: 12 13 15 19 27 43 75 139 267 523 1035 2059 4107 8203 16395 32779
(((x * 2) * (x - 1)) - loop(\(x,i).((x * 2) - 1),x,0))
A295077: 0 1 7 19 39 71 123 211 367 655 1203 2267 4359 8503 16747 33187
loop(\(x,i).(((x div ((x mod (2 + 1)) + 1)) + x) + 1),x,0)
A295484: 0 1 2 3 7
A180516: 0 1 2 3 7 11 15 31 47 63 127 191 255 511 767 1023
loop(\(x,i).(((x div (((2 + 1) * 2) + 1)) + x) + 1),x,0)
A084689: 0 1 2 3 4 5 6 7 9
A279078: 0 1 2 3 4 5 6 7 9 11 13 15 18 21 25 29
loop(\(x,i).(((x div ((x mod (2 + 2)) + 1)) + x) + 1),x,0)
A181287: 0 1 2 3 4 9 14 19 24 49 74 99 124 249 374 499
loop(\(x,i).(((x mod (((2 + 2) + 1) * 2)) + x) + 1),x,0)
A222010: 0 1 3 7
A235699: 0 1 3 7 15 21 23 27 35 41 43 47 55 61 63 67
loop(\(x,i).(((((x div 2) + x) * (2 + 2)) + x) + 1),x,0)
A015552: 0 1 6 43 300 2101 14706 102943 720600 5044201 35309406 247165843 1730160900 12111126301 84777884106 593445188743
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * (x + 1)),x,0)
A105280: 0 11 132 1463 16104 177155 1948716 21435887 235794768 2593742459 28531167060 313842837671 3452271214392 37974983358323 417724816941564 4594972986357215
loop(\(x,i).((((1 - ((i mod 2) * 2)) * i) * x) - 1),x,0)
A176304: 0 ~1 ~3 8 31 ~156 ~937 6558 52463 ~472168 ~4721681 51938490 623261879 ~8102404428 ~113433661993 1701504929894
loop(\(x,i).((((x * 2) * 2) * 2) - (i div (0 - 2))),x,0)
A178827: 0 1 9 74 594 4755 38043 304348 2434788 19478309 155826477 1246611822 9972894582 79783156663 638265253311 5106122026496
loop(\(x,i).((i + x) - (x mod (((2 + 2) + 1) * 2))),x,0)
A103303: 0 1 2 3 4 5 6 7 8 9
A247107-A158699-A138142-A061511: 0 1 2 3 4 5 6 7 8 9 10 21 32 43 54 65
((2 div (x + 1)) - loop(\(x,i).((x - (2 + 1)) * 2),x,0))
A037294: 2 7 18 42 90 186
(((2 + 2) * 2) - (if ((x div (2 + 1)) - 2) <= 0 then x else 0))
A307339: 8 7 6 5 4 3 2 1 0 8 8 8 8 8 8 8
loop(\(x,i).((i + x) - ((x mod ((x div 2) + 1)) div 2)),x,0)
A084525-A084515: 0 1 3 6 9 12 16 20 24 28 32 36 40 44 48 52
((1 - x) - loop(\(x,i).((x - ((i * 2) - 1)) * 2),x,0))
A131066: 1 2 9 28 71 162 349 728 1491 3022 6089 12228 24511 49082 98229 196528
(1 - loop(\(x,i).(((((2 + 2) + 1) * x) - 1) * 2),x,0))
A093135: 1 3 23 223 2223 22223 222223 2222223 22222223 222222223 2222222223 22222222223 222222222223 2222222222223 22222222222223 222222222222223
loop(\(x,i).((((x + 1) * 2) - (x div (i + 1))) * 2),x,0)
A115112: 0 4 18 68 250 922 3430 12868 48618 184754 705430 2704154 10400598 40116598 155117518 601080388
loop(\(x,i).(x - ((i * i) div (1 - ((2 + 2) * 2)))),x,0)
A175822: 0 1 2 4 7 11 17 24 34 46 61 79 100 125 153 186
loop(\(x,i).((((2 + 2) * 2) + x) * ((2 + 2) * 2)),x,0)
A247841: 0 64 576 4672 37440 299584 2396736 19173952 153391680 1227133504 9817068096 78536544832 628292358720 5026338869824 40210710958656 321685687669312
(1 - loop(\(x,i).((x - ((2 - x) * (2 + 2))) * 2),x,0))
A246058: 1 17 177 1777 17777 177777 1777777 17777777 177777777 1777777777 17777777777 177777777777 1777777777777 17777777777777 177777777777777 1777777777777777
(if (((2 - x) + 2) mod (((x mod 2) + 2) + 2)) <= 0 then x else 0)
A105570: 0 0 0 0 4 0 0 0 8 9 0 0 12 0 0 0
(x - loop(\(x,i).(x - (((x div 2) + i) div (2 + 2))),x,0))
A092919: 0 1 2 3 5 7 9 11 13 15 17 19 22 25 28 31
loop(\(x,i).(x - ((1 - (((i mod 2) + x) * 2)) * 2)),x,0)
A231103: 0 2 8 42 208 1042 5208 26042 130208 651042 3255208 16276042 81380208 406901042 2034505208 10172526042
(1 - loop(\(x,i).(x - (((i mod 2) - (x * 2)) * 2)),x,0))
A039302: 1 3 11 53 261 1303 6511 32553 162761 813803 4069011 20345053 101725261 508626303 2543131511 12715657553
((x + 1) - loop(\(x,i).(x - (i - ((x * 2) * 2))),x,0))
A188545: 1 3 10
A094195: 1 3 10 42 199 981 4888 24420 122077 610359 3051766 15258798 76293955 381469737 1907348644 9536743176
loop(\(x,i).(((i + 2) * x) - (1 - ((i mod 2) * 2))),x,0)
A006347: 0 1 3 16 95 666 5327 47944 479439 5273830 63285959 822717468 11518044551 172770668266 2764330692255 46993621768336
loop(\(x,i).(((i * i) * x) - (1 - ((i mod 2) * 2))),x,0)
A340789: 0 1 3 28 447 11176 402335 19714416 1261722623 102199532464 10219953246399 1236614342814280 178072465365256319 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div (((i div 2) * 2) + 1)) + x) + 2),x,0)
A130251: 0 2 4 7 10 14 18 22 26 30 34 39 44 49 54 59
(((x mod 2) * 2) - loop(\(x,i).(((2 + 1) * x) - 2),x,0))
A105723: 0 4 8 28 80 244 728 2188 6560 19684 59048 177148 531440 1594324 4782968 14348908
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) + x) * 2),x,0)
A175166: 0 64 192 448 960 1984 4032 8128 16320 32704 65472 131008 262080 524224 1048512 2097088
loop(\(x,i).(((x div ((i - (x mod 2)) + 2)) + x) + 2),x,0)
A130240: 0 2 4 6 9 12 15 18 21 25 29 33 37 41 45 49
(2 - loop(\(x,i).(((x div ((i + 2) + 2)) + x) - 2),x,0))
A003067: 2 4 7 10 13 17 21 25 29 34 39 44 49 54 59 64
loop(\(x,i).(((i div ((0 - 2) - 2)) mod 2) + (x * 2)),x,0)
A222010: 0 1 3 7
A224520: 0 1 3 7 15 30 60 120 240 481 963 1927 3855 7710 15420 30840
loop(\(x,i).(((((x - 1) div 2) mod 2) + x) + (x * 2)),x,0)
A062107: 0 1 3 10 30 90 270 810 2430 7290 21870 65610 196830 590490 1771470 5314410
(1 - loop(\(x,i).(((x - ((i * 2) - 1)) * i) * 2),x,0))
A007566: 1 3 21 151 1257 12651 151933 2127231 34035921 612646867 12252937701 269564629863 6469551117241 168208329048891 4709833213369677 141294996401091151
((x + 1) - loop(\(x,i).((x - ((i + 2) * i)) * 2),x,0))
A213764: 1 8 31 90 225 516 1123 2366 4885 9960 20151 40578 81481 163340 327115 654726
loop(\(x,i).(((((x * 2) + 1) * 2) * 2) - (i mod 2)),x,0)
A172241: 0 3 28 227 1820 14563 116508 932067 7456540 59652323 477218588 3817748707 30541989660 244335917283 1954687338268 15637498706147
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i mod 2)),x,0)
A056830: 0 1 10 101 1010 10101 101010 1010101 10101010 101010101 1010101010 10101010101 101010101010 1010101010101 10101010101010 101010101010101
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),x,0)
A024127: 0 10 120 1330 14640 161050 1771560 19487170 214358880 2357947690 25937424600 285311670610 3138428376720 34522712143930 379749833583240 4177248169415650
loop(\(x,i).(((((i + 1) * i) div 2) * (i + 1)) + x),x,0)
A000914: 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500
loop(\(x,i).(((((i + 2) * 2) + 1) * (i - 1)) + x),x,0)
A266397: 0 0 9 31 70 130 215 329 476 660 885 1155 1474 1846 2275 2765
loop(\(x,i).((i - (((x div (2 + 2)) - 1) div 2)) + x),x,0)
A219657: 0 2 5 8 12 16 21 26 32 38 44 50 57 64 71 78
loop(\(x,i).((((((i * i) + 1) * i) * i) div 2) + x),x,0)
A079547: 0 1 11 56 192 517 1183 2408 4488 7809 12859 20240 30680 45045 64351 89776
loop(\(x,i).((((((i * 2) + 1) * i) + 1) * i) + x),x,0)
A172123: 0 4 26 92 240 520 994 1736 2832 4380 6490 9284 12896 17472 23170 30160
loop(\(x,i).((((((i + 2) + 2) * i) + 1) * i) + x),x,0)
A296196: 0 6 32 98 230 460 826 1372 2148 3210 4620 6446 8762 11648 15190 19480
loop(\(x,i).(((i - ((1 - i) * (2 + 2))) * i) + x),x,0)
A007587: 0 1 13 46 110 215 371 588 876 1245 1705 2266 2938 3731 4655 5720
loop(\(x,i).(((x - (1 - ((i mod 2) * 2))) * i) + x),x,0)
A155521: 0 1 1 7 31 191 1331 10655 95887 958879 10547659 126571919 1645434935 23036089103 345541336531 5528661384511
loop(\(x,i).((((((2 + 1) * 2) + 1) * i) * i) + x),x,0)
A169607: 0 7 35 98 210 385 637 980 1428 1995 2695 3542 4550 5733 7105 8680
loop(\(x,i).((((((2 + 1) * i) - 2) * i) * i) + x),x,0)
A172045: 0 1 17 80 240 565 1141 2072 3480 5505 8305 12056 16952 23205 31045 40720
loop(\(x,i).((((i * i) * i) * ((i * i) * i)) + x),x,0)
A000540: 0 1 65 794 4890 20515 67171 184820 446964 978405 1978405 3749966 6735950 11562759 19092295 30482920
loop(\(x,i).((((x + 2) * x) div ((x + 2) + 2)) + i),x,0)
A024536: 0 1 2 4 7 10 14 19 25 32 40 49 59 70 82 95
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i * i)),x,0)
A032343: 0 1 14 149 1506 15085 150886 1508909 15089154 150891621 1508916310 15089163221 150891632354 1508916323709 15089163237286 150891632373085
(if (x mod (((x - 1) mod ((2 + 2) + 1)) + 1)) <= 0 then 0 else 1)
A011714: 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0
(if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 0 else 1)
A336469-A295297: 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0
(if ((x - 1) mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 0 else 1)
A131695: 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1
(if (x mod (((x mod (2 + 2)) * (2 + 1)) + 1)) <= 0 then 0 else 1)
A284939-A098725: 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1
(if ((x - 1) mod (((2 + 2) mod (x + 1)) + 1)) <= 0 then 0 else 1)
A335106-A288132-A070200: 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1
(if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 0 else 1)
A049240: 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0
(if (((x + 2) + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)
A071027: 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1
(if (x mod (((2 mod ((x div 2) + 1)) + 2) + 1)) <= 0 then 0 else 1)
A080886: 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 0
(if (x mod ((x - (((x div 2) - 1) div 2)) + 1)) <= 0 then 0 else 1)
A204437: 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1
(if ((x + 2) mod (((2 mod (x + 1)) + 2) + 1)) <= 0 then 0 else 1)
A230632: 1 0 1 0 1 1 1 1 0 1 1 1 1 0 1 1
(if ((x - 1) mod ((((x div 2) + 2) + 2) + 1)) <= 0 then 0 else 1)
A341167: 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1
(if (x mod ((x div (((x mod 2) + 2) * 2)) + 1)) <= 0 then 0 else 1)
A011699: 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0
(if (x mod ((((x + 1) div 2) mod (2 + 2)) + 1)) <= 0 then 0 else 1)
A060952: 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 0
(if ((((x div 2) + x) + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A188318: 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1
(if ((x - (x div (0 - 2))) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A285978: 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1
(if (((x * x) div (0 - 2)) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A284929: 0 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1
(if ((x div 2) - ((x + 2) mod ((2 + 2) + 1))) <= 0 then 0 else 1)
A237657: 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1
(if (((x * x) div (x + 2)) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A288226: 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1
(if (((x mod 2) + x) mod ((x div (2 + 2)) + 1)) <= 0 then 0 else 1)
A294233: 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0
(if ((((1 - x) * x) mod ((x div 2) + 2)) - 1) <= 0 then 0 else 1)
A011708: 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1
(if ((x - ((x * x) div (2 + 1))) mod (2 + 1)) <= 0 then 0 else 1)
A284622: 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0
(if ((x mod ((2 + 2) * (0 - 2))) mod (2 + 1)) <= 0 then 0 else 1)
A022924: 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1
(if ((x - (((x - 1) div 2) mod 2)) mod (2 + 1)) <= 0 then 0 else 1)
A283437: 1 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1
(if (((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 1)
A114986: 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0
(if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 1)
A005614: 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1
(if (((1 - x) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 1)
A334413-A114483: 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1
(if ((x - (x div ((2 + 2) * 2))) mod (2 + 1)) <= 0 then 0 else 1)
A188295: 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1
(if ((x mod (((x mod 2) + 2) + 2)) mod (2 + 1)) <= 0 then 0 else 1)
A292077: 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0
(if (x mod ((2 - ((x div 2) mod 2)) * (2 + 1))) <= 0 then 0 else 1)
A014578: 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0
((if ((x div 2) mod (2 + 1)) <= 0 then (x div (2 + 1)) else 0) + 1)
A014421: 1 1 1 1 1 1 3 3 1 1 1 1 5 5 1 1
(if (x mod (((2 + 2) * 2) - (x div (2 + 1)))) <= 0 then 0 else 1)
A182067: 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0
((x + 2) div ((if (x mod 2) <= 0 then (x div (2 + 1)) else 0) + 1))
A088492: 2 3 4 5 3 7 2 9 3 11 3 13 2 15 3 17
((if (x mod ((2 + 2) + 1)) <= 0 then (x mod (2 + 1)) else 0) + 1)
A023593: 1 1 1 1 1 3 1 1 1 1 2 1 1 1 1 1
(if ((x - 2) mod ((2 + 2) - (x mod (2 + 1)))) <= 0 then 0 else 1)
A165728: 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1
(if (((((2 + 2) + 1) * 2) * 2) mod (x + 1)) <= 0 then 0 else 1)
A339184: 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
(loop(\(x,i).((((x + 2) * 2) * 2) + x),(x + 1),0) - 1)
A064385: 7 47 247 1247 6247 31247 156247 781247 3906247 19531247 97656247 488281247 2441406247 12207031247 61035156247 305175781247
(loop(\(x,i).((((i div 2) * 2) + x) * 2),(x - 1),0) + 1)
A141025: 1 1 1 5 13 33 73 157 325 665 1345 2709 5437 10897 21817 43661
((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 0) + 1)
A094404-A066715-A031246-A030579: 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1
(if (x - (((2 - x) mod ((2 + 2) + 1)) * 2)) <= 0 then 0 else 1)
A308243: 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1
(if (x mod ((x - (x div ((2 + 2) + 1))) + 2)) <= 0 then 0 else 1)
A204447: 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1
(if (x mod ((2 - ((x div 2) div (2 + 1))) + 2)) <= 0 then 0 else 1)
A280379-A217564: 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1
(if ((x * 2) mod (((x div 2) div (2 + 1)) + 2)) <= 0 then 0 else 1)
A011709: 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1
(if ((x div (2 + 2)) - (x mod ((2 + 1) * 2))) <= 0 then 0 else 1)
A124760: 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0
(if (((x + 1) * 2) mod ((x div (2 + 1)) + 2)) <= 0 then 0 else 1)
A238451: 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1
((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 0) + 1)
A030580: 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1
((if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then 2 else 0) + 1)
A186028: 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 0 else 1)
A090477-A023532: 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1
((if ((x + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0) + 1)
A250208-A120263-A083202-A030578: 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1
((if ((((x + 1) div 2) + 1) mod (2 + 2)) <= 0 then 2 else 0) + 1)
A059790: 1 1 1 1 1 3 3 1 1 1 1 1 1 3 3 1
(if ((x + 1) mod (((1 - x) mod (2 + 2)) + 2)) <= 0 then 0 else 1)
A080545: 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0
(if ((x - 2) mod (((2 - x) mod (2 + 2)) + 2)) <= 0 then 0 else 1)
A262808: 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 1
((if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 2 else 0) + 1)
A340085-A214268-A214249-A195768: 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1
(if (x mod (((x * x) mod ((x + 2) + 2)) + 2)) <= 0 then 0 else 1)
A285972-A275510: 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1
(2 - ((1 - x) div ((if ((x div 2) - 2) <= 0 then 2 else 0) + 1)))
A160642: 2 2 3 3 3 4 7 8 9 10 11 12 13 14 15 16
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0) + 1)
A060904: 1 1 1 1 5 1 1 1 1 5 1 1 1 1 5 1
(if ((((x + 1) div 2) * (x + 1)) mod (2 + 2)) <= 0 then 0 else 1)
A341642-A296211: 0 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0
(if ((((x div 2) + 2) * (x + 1)) mod (2 + 2)) <= 0 then 0 else 1)
A284948: 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0
(x div ((if (x mod ((2 + 1) * 2)) <= 0 then (2 + 2) else 0) + 1))
A214394: 0 1 2 3 4 5 1 7 8 9 10 11 2 13 14 15
(if ((x - ((2 - (x div 2)) div 2)) mod (2 + 2)) <= 0 then 0 else 1)
A334377: 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1
(if ((x - ((2 + 2) * 2)) * (x - (2 + 2))) <= 0 then 0 else 1)
A266434: 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1
((if ((x div (2 + 1)) - 2) <= 0 then (x div (2 + 2)) else 0) + 1)
A225538: 1 1 1 1 2 2 2 2 3 1 1 1 1 1 1 1
(if (((x * 2) mod (2 + 1)) - (x mod (2 + 2))) <= 0 then 0 else 1)
A129185-A129184: 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0
(if ((((x * x) * x) - 1) mod ((x div 2) + 2)) <= 0 then 0 else 1)
A120530: 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1
((if (x mod ((2 + 2) * (2 + 1))) <= 0 then (x div 2) else 0) + 1)
A174544: 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1
(if (((x + 2) mod ((2 + 1) * 2)) * (x div 2)) <= 0 then 0 else 1)
A014306: 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1
((if (x mod ((x mod (2 + 2)) + 2)) <= 0 then (x mod 2) else 0) + 1)
A124148: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2
((x + 1) div ((if ((2 - x) + 2) <= 0 then (x mod 2) else 0) + 1))
A275823: 1 2 3 4 5 3 7 4 9 5 11 6 13 7 15 8
(x - (x div (if ((x + 1) mod (2 + 1)) <= 0 then 2 else (0 - 1))))
A138750: 0 2 1 6 8 3 12 14 4 18 20 6 24 26 7 30
((x * 2) - (if ((x div 2) mod 2) <= 0 then (x mod 2) else (0 - 1)))
A047479: 0 1 5 7 8 9 13 15 16 17 21 23 24 25 29 31
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then x else (0 - 1))
A321804-A321800: ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 11 ~1 ~1 ~1 ~1
(if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else (0 - 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A321802-A320485: 0 1 2 3 4 5 6 7 8 9 10 ~1 12 13 14 15
(loop(\(x,i).((x mod ((i mod (x + 1)) + 1)) + 1),x,0) + 1)
A099427: 1 2 2 3 2 3 2 3 4 3 2 3 2 3 4 5
((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then x else 0) + 1)
A056191: 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1
((if (x mod (((x mod (2 + 2)) + 2) + 1)) <= 0 then x else 0) + 1)
A280506: 1 1 1 1 1 1 1 1 1 1 11 1 13 1 1 1
(loop(\(x,i).(((((i * i) * x) + 2) * x) + 1),x,0) + 1)
A035129: 1 2 8 457
(loop(\(x,i).((((2 + 2) * 2) + x) mod (i + 1)),x,0) + 1)
A109630: 1 1 3 3 1 3 4 4 3 1 9 5 13 7 15 7
(loop(\(x,i).((x + 1) mod ((i div (2 + 1)) + 2)),x,0) + 1)
A037125: 1 2 1 2 3 1 2 3 4 5 1 2 3 4 5 6
((if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else 0) + 1)
A322094: 1 2 3 4 5 6 7 8 9 10 11 1 13 14 15 16
(((x + 2) div (((2 + 1) * 2) + 1)) + (if x <= 0 then 0 else 1))
A180447: 0 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3
(((x * 2) div (((x div 2) + 2) + 1)) + (if x <= 0 then 0 else 1))
A269024: 0 1 2 2 2 3 3 3 3 3 3 3 3 3 3 4
((((x * 2) * (2 + 1)) * (2 + 1)) - (if x <= 0 then 0 else 1))
A004921: 0 17 35 53 71 89 107 125 143 161 179 197 215 233 251 269
(((((x div 2) * x) + 1) mod (2 + 1)) + (if x <= 0 then 0 else 1))
A204893: 1 2 1 2 1 3 2 2 1 2 1 3 2 2 1 2
(((x - ((x div 2) mod 2)) div (2 + 1)) + (if x <= 0 then 0 else 1))
A257807-A211339-A152595: 0 1 1 1 2 2 2 3 3 4 4 4 5 5 5 5
(((x * 2) - ((x div 2) div (2 + 1))) - (if x <= 0 then 0 else 1))
A214315: 0 1 3 5 7 9 10 12 14 16 18 20 21 23 25 27
(((x + 2) - ((1 - x) div (2 + 1))) + (if x <= 0 then 0 else 1))
A135673: 2 4 6 7 8 10 11 12 14 15 16 18 19 20 22 23
((((x * 2) * 2) - (x div (2 + 1))) - (if x <= 0 then 0 else 1))
A172323: 0 3 7 10 14 18 21 25 29 32 36 40 43 47 51 54
(x - (((x div ((2 + 2) + 1)) * 2) - (if x <= 0 then 0 else 1)))
A326167: 0 2 3 4 5 4 5 6 7 8 7 8 9 10 11 10
(((((x + 1) div 2) div (2 + 1)) + 2) + (if x <= 0 then 0 else 1))
A155934: 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5
(((((x div 2) + (x * 2)) + 1) * 2) + (if x <= 0 then 0 else 1))
A063206: 2 7 13 17 23 27 33 37 43 47 53 57 63 67 73 77
(((((x div (2 + 2)) + 1) div 2) * 2) + (if x <= 0 then 0 else 1))
A331134: 0 1 1 1 3 3 3 3 3 3 3 3 5 5 5 5
(((x - ((x div (2 + 1)) * 2)) * 2) - (if x <= 0 then 0 else 1))
A063198: 0 1 3 1 3 5 3 5 7 5 7 9 7 9 11 9
((2 - ((x mod ((x mod 2) + 2)) div 2)) + (if x <= 0 then 0 else 1))
A276858: 2 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3
(((((x div (2 + 2)) * x) div 2) mod 2) + (if x <= 0 then 0 else 1))
A344339: 0 1 1 1 1 1 2 2 1 2 1 2 1 2 2 1
((((x mod (2 + 1)) * (x div 2)) mod 2) + (if x <= 0 then 0 else 1))
A120891-A092523: 0 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1
(x div ((x + 2) div ((2 - (x mod 2)) + (if x <= 0 then 0 else 1))))
A332202: 0 1 2 1 2 1 3 1 2 1 2 1 3 1 2 1
(((((x * x) + (2 + 2)) * 2) + x) + (if x <= 0 then 0 else 1))
A232867: 8 12 19 30 45 64 87 114 145 180 219 262 309 360 415 474
(((((x * 2) * 2) div (x + 2)) + x) + (if x <= 0 then 0 else 1))
A138891: 0 3 5 6 7 8 10 11 12 13 14 15 16 17 18 19
(((((x div 2) div (2 + 1)) + x) + x) + (if x <= 0 then 0 else 1))
A195179: 0 3 5 7 9 11 14 16 18 20 22 24 27 29 31 33
((((((x + 2) + 2) + 2) * x) * x) - (if x <= 0 then 0 else 1))
A087725: 0 6 31 80
(loop(\(x,i).(((((i mod 2) + 2) + 2) * i) + x),x,0) - 1)
A266958: ~1 4 12 27 43 68 92 127 159 204 244 299 347 412 468 543
(loop(\(x,i).((((i * i) * x) div (i + 2)) + i),x,0) + 1)
A004252: 1 2 4 9 26 95
(loop(\(x,i).(x * 2),x,(((2 + 2) * (2 + 1)) + 1)) + 1)
A168596: 14 27 53 105 209 417 833 1665 3329 6657 13313 26625 53249 106497 212993 425985
(loop(\(x,i).(x * x),x,(((2 + 2) * (2 + 1)) - 1)) + 1)
A199592: 12 122 14642 214358882 45949729863572162 4611686018427387903 4611686018427387903
((x mod ((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 1)) + 1)
A106038: 1 2 3 1 2 1 1 2 3 1 1 3 1 2 3 1
((if (x mod ((((2 + 2) * 2) * 2) - 1)) <= 0 then 2 else 1) + 1)
A248743: 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3
((if (x mod ((x mod ((2 + 2) * 2)) + 1)) <= 0 then 2 else 1) + 1)
A270003: 3 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2
(if ((x div 2) - 2) <= 0 then (((x mod (2 + 1)) div 2) + 1) else 1)
A283149-A183017: 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1
((x mod (if (x mod (2 + 1)) <= 0 then ((x - 1) div 2) else 1)) + 1)
A337798: 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1 2
loop(\(x,i).i,(((x - ((x mod (2 + 1)) div 2)) div 2) - 1),1)
A029113: 1 1 1 1 1 1 2 2 2 3 4 4 5 5 5 6
(((x - 1) mod ((((if x <= 0 then 0 else 2) * 2) * 2) + 1)) + 1)
A033930: 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6
(loop(\(x,i).(x * 2),x,((((2 + 2) * 2) * 2) - 1)) - 1)
A196305: 14 29 59 119 239 479 959 1919 3839 7679 15359 30719 61439 122879 245759 491519
((1 - x) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1))
A179010: 1 0 1 0 1 0 1 0 2 0 1 0 1 0 1 0
(loop(\(x,i).((x + 2) * 2),x,(((2 + 2) * 2) + 1)) + 1)
A156202: 10 23 49 101 205 413 829 1661 3325 6653 13309 26621 53245 106493 212989 425981
(loop(\(x,i).((x * 2) * 2),x,(((2 + 2) * 2) + 1)) + 1)
A199208: 10 37 145 577 2305 9217 36865 147457 589825 2359297 9437185 37748737 150994945 603979777 2415919105 9663676417
loop(\(x,i).(x * x),1,((x mod (((2 + 2) * 2) + 1)) + 1))
A153211: 1 4 9 16 25 36 49 64 81 1 4 9 16 25 36 49
(loop(\(x,i).((x + 1) * x),x,(((2 + 2) * 2) + 1)) + 1)
A144783: 10 91 8191 67084291 4500302031888391 4611686018427387903 4611686018427387903 4611686018427387903
((if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 2 else 1) + 1)
A180258: 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2
((if ((x mod ((2 + 2) + 1)) mod 2) <= 0 then (2 + 2) else 1) + 1)
A244892: 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5
(((x - (if (x mod 2) <= 0 then 2 else 0)) div ((2 + 2) + 1)) + 1)
A240874: 0 1 1 1 1 2 1 2 2 2 2 3 3 3 3 4
loop(\(x,i).((i - 1) - x),((x + 1) div ((2 + 2) + 1)),1)
A037869: 1 1 1 1 ~1 ~1 ~1 ~1 ~1 2 2 2 2 2 0 0
(((loop(\(x,i).(x * 2),x,1) - 2) div ((2 + 2) + 1)) + 1)
A256494: 0 1 1 2 3 7 13 26 51 103 205 410 819 1639 3277 6554
((if x <= 0 then 1 else (((x + 1) * 2) * ((2 + 2) + 1))) - 1)
A038364: 0 19 29 39 49 59 69 79 89 99
((if x <= 0 then 1 else (((x - 1) * 2) div ((2 + 2) + 1))) + 1)
A127950: 2 1 1 1 2 2 3 3 3 4 4 5 5 5 6 6
((loop(\(x,i).((x * 2) * 2),x,2) * ((2 + 2) + 1)) + 1)
A199209: 11 41 161 641 2561 10241 40961 163841 655361 2621441 10485761 41943041 167772161 671088641 2684354561 10737418241
(if (x mod (2 + 2)) <= 0 then ((x + 2) div ((2 + 2) + 1)) else 1)
A076398: 0 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1
(loop(\(x,i).((2 + 1) * x),(x * 2),((2 + 2) + 1)) + 1)
A199563: 6 46 406 3646 32806 295246 2657206 23914846 215233606 1937102446 17433922006 156905298046 1412147682406 12709329141646 114383962274806 1029455660473246
loop(\(x,i).((2 + 1) * x),((x div 2) - ((2 + 2) + 1)),1)
A147510-A147502-A147433-A147128-A146607: 1 1 1 1 1 1 1 1 1 1 1 1 3 3 9 9
((loop(\(x,i).((2 + 1) * x),x,2) * ((2 + 2) + 1)) + 1)
A199112: 11 31 91 271 811 2431 7291 21871 65611 196831 590491 1771471 5314411 15943231 47829691 143489071
((loop(\(x,i).((2 + 1) * x),x,2) * ((2 + 2) + 1)) - 1)
A198645: 9 29 89 269 809 2429 7289 21869 65609 196829 590489 1771469 5314409 15943229 47829689 143489069
(loop(\(x,i).((x * 2) * (2 + 1)),x,((2 + 2) + 1)) + 1)
A199320: 6 31 181 1081 6481 38881 233281 1399681 8398081 50388481 302330881 1813985281 10883911681 65303470081 391820820481 2350924922881
(loop(\(x,i).((x * 2) * (2 + 1)),x,((2 + 2) + 1)) - 1)
A198794: 4 29 179 1079 6479 38879 233279 1399679 8398079 50388479 302330879 1813985279 10883911679 65303470079 391820820479 2350924922879
((loop(\(x,i).(x * 2),(x - 1),x) * ((2 + 2) + 1)) + 1)
A048476: 1 6 21 61 161 401 961 2241 5121 11521 25601 56321 122881 266241 573441 1228801
(loop(\(x,i).(((x * 2) * 2) * 2),x,((2 + 2) + 1)) + 1)
A199553: 6 41 321 2561 20481 163841 1310721 10485761 83886081 671088641 5368709121 42949672961 343597383681 2748779069441 21990232555521 175921860444161
(loop(\(x,i).(((x * 2) * 2) * 2),x,((2 + 2) + 1)) - 1)
A198853: 4 39 319 2559 20479 163839 1310719 10485759 83886079 671088639 5368709119 42949672959 343597383679 2748779069439 21990232555519 175921860444159
loop(\(x,i).(x * 2),(x - ((2 - x) div ((2 + 2) + 1))),1)
A171381: 1 2 4 16 32 64
A334083: 1 2 4 16 32 64 128 256 1024
((loop(\(x,i).((x + 1) * x),2,x) * ((2 + 2) + 1)) + 1)
A022521: 1 31 211 781 2101 4651 9031 15961 26281 40951 61051 87781 122461 166531 221551 289201
loop(\(x,i).(((2 + 2) + 1) * x),(x div ((2 + 2) + 1)),1)
A243757: 1 1 1 1 1 5 5 5 5 5 25 25 25 25 25 125
(loop(\(x,i).(i * x),(((x div 2) + x) + (2 + 2)),1) + 1)
A087399-A085692: 25 121 5041
(loop(\(x,i).((x + 1) * x),x,((x div (2 + 2)) + 1)) + 1)
A201363: 2 3 7
A014546: 2 3 7 43 3263443
((((2 - x) + 1) mod loop(\(x,i).i,(x div (2 + 2)),1)) + 1)
A228570: 1 1 1 1 1 1 1 1 2 1 2 1 1 3 2 1
(((x * x) mod loop(\(x,i).(i + x),(x mod (2 + 2)),1)) + 1)
A078734: 1 2 1 3 1 2 1 1 1 2 1 3 1 2 1 2
loop(\(x,i).(i * x),((((x + 2) * (x + 2)) * 2) - 1),1)
A072242: 5040 355687428096000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x * x) div (((x + 2) + 2) + 1)),1)
A140839: 1 1 1 2 2 4
A054243: 1 1 1 2 2 4 8 16 16 32 64 128 256 512 1024 2048
loop(\(x,i).((x * 2) * (2 + 1)),(((x * 2) * 2) + 1),1)
A013784: 6 7776 10077696 13060694016 16926659444736 21936950640377856 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),(((x * 2) * 2) + 1),1)
A013788: 8 32768 134217728 549755813888 2251799813685248 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(((x * 2) * 2) + 1),1)
A013782: 5 3125 1953125 1220703125 762939453125 476837158203125 298023223876953125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - i),(((x div 2) - ((x mod 2) * 2)) + 1),1)
A317301: 0 1 ~2 1 ~5 0 ~9 ~2 ~14 ~5 ~20 ~9 ~27 ~14 ~35 ~20
((loop(\(x,i).(x * 2),x,2) div (((x mod 2) * 2) + 1)) - 1)
A282798: 1 0 7 4 31 20 127 84 511 340 2047 1364 8191 5460 32767 21844
((loop(\(x,i).((x + 2) mod (i + 1)),x,0) * (2 + 1)) + 1)
A256255: 1 1 7 1 7 13 19 1 7 13 19 25 31 37 43 1
loop(\(x,i).(i * x),((((x * 2) * 2) + 1) * (2 + 1)),1)
A072240: 6 1307674368000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i * x) - 1),x,(2 + 1)) * (2 + 1)) + 1)
A068444: 10 7 10 25 94 463 2770 19381 155038 1395331 13953298 153486265 1841835166 23943857143 335213999986 5028209999773
loop(\(x,i).(x * 2),((x - (x div (2 + 1))) div (2 + 1)),1)
A113452: 1 1 1 1 2 2 2 2 4 4 4 4 4 8 8 8
((((x + 2) div (if (2 - x) <= 0 then 2 else 1)) div (2 + 1)) + 1)
A082892: 1 2 1 1 2 2 2 2 2 2 3 3 3 3 3 3
((loop(\(x,i).(((i + 1) * x) - 1),x,1) div (2 + 1)) + 1)
A039750: 1 1 1 3 12 68
loop(\(x,i).(x * 2),((((x + 1) * x) + 1) div (2 + 1)),1)
A179532: 1 2 4 16 128 1024 16384 524288 16777216 1073741824 137438953472 17592186044416 4503599627370496 2305843009213693952 4611686018427387903 4611686018427387903
((2 + 2) div ((((if x <= 0 then 1 else x) + 1) mod (2 + 1)) + 1))
A136619: 1 1 4 2 1 4 2 1 4 2 1 4 2 1 4 2
loop(\(x,i).(x * 2),((((x + 2) * x) + 1) div (2 + 1)),1)
A134751: 1 2 8 32 256 4096 65536 2097152 134217728 8589934592 1099511627776 281474976710656 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then ((((x + 2) * x) - 1) div (2 + 1)) else 1)
A199085: 1 1 2 4 7 11 15 20 26 32 39 47 55 64 74 84
((loop(\(x,i).(x * 2),(x - 1),(x + 1)) * (2 + 1)) - 1)
A074494: 2 5 17 47 119 287 671 1535 3455 7679 16895 36863 79871 172031 368639 786431
(if ((x + 2) mod (2 + 2)) <= 0 then ((x + 1) div (2 + 1)) else 1)
A292505-A281119: 1 1 1 1 1 1 2 1 1 1 3 1 1 1 5 1
(if (2 - x) <= 0 then ((x div 2) - ((x + 1) div (2 + 1))) else 1)
A112220: 1 1 0 0 1 0 1 1 1 1 2 1 2 2 2 2
loop(\(x,i).(2 - ((x div 2) - 2)),((x - 1) div (2 + 1)),1)
A109610: 1 1 1 1 4 4 4 2 2 2 3 3 3 3 3 3
loop(\(x,i).(x * 2),((x div 2) - ((x - 1) div (2 + 1))),1)
A060548: 2 1 2 2 2 2 4 2 4 4 4 4 8 4 8 8
((x mod ((if ((x div 2) - 2) <= 0 then 1 else 2) * (2 + 1))) + 1)
A194074: 1 2 3 1 2 3 1 2 3 4 5 6 1 2 3 4
loop(\(x,i).(x * 2),x,((((2 + 1) * 2) * (2 + 1)) + 1))
A110288: 19 38 76 152 304 608 1216 2432 4864 9728 19456 38912 77824 155648 311296 622592
(loop(\(x,i).(x * x),1,(((x + 1) * 2) * (2 + 1))) - 1)
A136017: 35 143 323 575 899 1295 1763 2303 2915 3599 4355 5183 6083 7055 8099 9215
loop(\(x,i).(x * x),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016970: 25 121 289 529 841 1225 1681 2209 2809 3481 4225 5041 5929 6889 7921 9025
loop(\(x,i).(x * x),2,((((x + 1) * 2) * (2 + 1)) - 1))
A016972: 625 14641 83521 279841 707281 1500625 2825761 4879681 7890481 12117361 17850625 25411681 35153041 47458321 62742241 81450625
(loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * (2 + 1)) + 1))
A222011: 1 2 4 8
A036118: 1 2 4 8 3 6 12 11 9 5 10 7 1 2 4 8
loop(\(x,i).((2 + 1) * x),x,(((2 + 2) * (2 + 1)) + 1))
A258597: 13 39 117 351 1053 3159 9477 28431 85293 255879 767637 2302911 6908733 20726199 62178597 186535791
(loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A222011: 1 2 4 8
A036117: 1 2 4 8 5 10 9 7 3 6 1 2 4 8 5 10
loop(\(x,i).((x * 2) * 2),x,(((2 + 2) * (2 + 1)) - 1))
A002089: 11 44 176 704 2816 11264 45056 180224 720896 2883584 11534336 46137344 184549376 738197504 2952790016 11811160064
loop(\(x,i).((2 + 1) * x),x,(((2 + 2) * (2 + 1)) - 1))
A120354: 11 33 99 297 891 2673 8019 24057 72171 216513 649539 1948617 5845851 17537553 52612659 157837977
((((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) * (2 + 1)) - 1)
A142702: 5 2 5 8 5 2 5 8 5 2 5 8 5 2 5 8
loop(\(x,i).(i * x),(x - ((x div (2 + 2)) * (2 + 1))),1)
A269224: 1 1 2 6 1 2 6 24 2 6 24 120 6 24 120 720
((if (x - 2) <= 0 then x else (((x - 2) * 2) * (2 + 1))) + 1)
A100764: 1 2 3 7 13 19 25 31 37 43 49 55 61 67 73 79
loop(\(x,i).(x * x),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017534: 1 169 625 1369 2401 3721 5329 7225 9409 11881 14641 17689 21025 24649 28561 32761
loop(\(x,i).(x * x),2,((((x * 2) * 2) * (2 + 1)) + 1))
A017536: 1 28561 390625 1874161 5764801 13845841 28398241 52200625 88529281 141158161 214358881 312900721 442050625 607573201 815730721 1073283121
loop(\(x,i).((i + 1) * x),(((x * 2) * 2) * (2 + 1)),1)
A198807: 1 6227020800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if x <= 0 then 2 else ((x - 1) * x)) div 2) * (2 + 1)) - 1)
A143208: 2 ~1 2 8 17 29 44 62 83 107 134 164 197 233 272 314
((loop(\(x,i).((x mod (i + 1)) + 2),x,2) mod (2 + 1)) - 1)
A065251: 1 1 0 1 0 ~1 1 1 0 ~1 1 0 ~1 1 0 1
((loop(\(x,i).(((x * 2) * 2) * 2),x,2) * (2 + 1)) + 1)
A199554: 7 49 385 3073 24577 196609 1572865 12582913 100663297 805306369 6442450945 51539607553 412316860417 3298534883329 26388279066625 211106232532993
((loop(\(x,i).(((x * 2) * 2) * 2),x,2) * (2 + 1)) - 1)
A198854: 5 47 383 3071 24575 196607 1572863 12582911 100663295 805306367 6442450943 51539607551 412316860415 3298534883327 26388279066623 211106232532991
(((loop(\(x,i).((i + x) * x),2,x) div 2) * (2 + 1)) + 1)
A143008: 1 13 73 253 661 1441 2773 4873 7993 12421 18481 26533 36973 50233 66781 87121
((loop(\(x,i).(x * 2),(x - 1),(x + 2)) div (2 + 1)) + 1)
A145230: 1 2 3 7 17 38
(if (x mod 2) <= 0 then (x div 2) else (((x + 2) * (2 + 1)) - 1))
A181762: 0 8 1 14 2 20 3 26 4 32 5 38 6 44 7 50
((loop(\(x,i).((x - 2) * 2),x,(x + 2)) div (2 + 1)) + 1)
A318234: 1 1 2 5 13 34 87
loop(\(x,i).(x * x),(2 + 1),(((x * 2) * (2 + 1)) + 1))
A016928: 1 5764801 815730721 16983563041 152587890625 852891037441 3512479453921 11688200277601 33232930569601 83733937890625 191707312997281 406067677556641 806460091894081 1517108809906561
loop(\(x,i).((x * x) * x),1,(((x * 2) * (2 + 1)) + 1))
A016923: 1 343 2197 6859 15625 29791 50653 79507 117649 166375 226981 300763 389017 493039 614125 753571
loop(\(x,i).((x * x) * x),2,(((x * 2) * (2 + 1)) + 1))
A016929: 1 40353607 10604499373 322687697779 3814697265625 26439622160671 129961739795077 502592611936843 1628413597910449 4605366583984375 11694146092834141 27206534396294947 58871586708267913
loop(\(x,i).((x - 2) * 2),x,(((x * 2) * (2 + 1)) + 1))
A027981: 1 10 40 124 340 868 2116 4996 11524 26116 58372 129028 282628 614404 1327108 2850820
(if ((x - 1) mod (2 + 1)) <= 0 then ((x * 2) div (2 + 1)) else 1)
A005131: 1 0 1 1 2 1 1 4 1 1 6 1 1 8 1 1
loop(\(x,i).((x * 2) * (2 + 1)),((x div 2) div (2 + 1)),1)
A243758: 1 1 1 1 1 1 6 6 6 6 6 6 36 36 36 36
(x mod ((if (x - 2) <= 0 then 2 else ((x div 2) div (2 + 1))) + 1))
A101668: 0 1 2 0 0 0 0 1 0 1 0 1 0 1 2 0
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) * (2 + 1)) + 1)
A199216: 7 31 151 751 3751 18751 93751 468751 2343751 11718751 58593751 292968751 1464843751 7324218751 36621093751 183105468751
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) * (2 + 1)) - 1)
A198764: 5 29 149 749 3749 18749 93749 468749 2343749 11718749 58593749 292968749 1464843749 7324218749 36621093749 183105468749
((loop(\(x,i).((x * x) * x),(x * x),2) * (2 + 1)) - 1)
A200822: 5 23 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,(2 + 1)) - 1)
A199032: 2 35 431 5183 62207 746495 8957951 107495423 1289945087 15479341055 185752092671 2229025112063 26748301344767 320979616137215 3851755393646591 46221064723759103
loop(\(x,i).(x * x),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017174: 1 100 361 784 1369 2116 3025 4096 5329 6724 8281 10000 11881 13924 16129 18496
loop(\(x,i).(x * x),2,((((2 + 1) * x) * (2 + 1)) + 1))
A017176: 1 10000 130321 614656 1874161 4477456 9150625 16777216 28398241 45212176 68574961 100000000 141158161 193877776 260144641 342102016
loop(\(x,i).(i * x),x,((((x + 1) * x) * (2 + 1)) + 1))
A056197: 1 7 38 222 1464 10920 91440 851760 8749440 98340480 1201132800 15846969600 224651750400 3406180377600 55009501747200 942833219328000
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (2 + 1)) + 1)
A338782: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4
((((if (x mod (2 + 2)) <= 0 then 1 else 2) + x) div (2 + 1)) + 1)
A090701: 1 2 2 2 2 3 3 4 4 4 5 5 5 6 6 6
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)) + 1)
A199683: 4 31 301 3001 30001 300001 3000001 30000001 300000001 3000000001 30000000001 300000000001 3000000000001 30000000000001 300000000000001 3000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)) - 1)
A198698: 2 29 299 2999 29999 299999 2999999 29999999 299999999 2999999999 29999999999 299999999999 2999999999999 29999999999999 299999999999999 2999999999999999
(x - (((x mod 2) - loop(\(x,i).(x * 2),x,(2 + 1))) - 1))
A116969: 4 7 15 27 53 101 199 391 777 1545 3083 6155 12301 24589 49167 98319
(if ((x + 1) mod ((2 + 1) * 2)) <= 0 then (x - (2 + 1)) else 1)
A327156: 1 1 1 1 1 2 1 1 1 1 1 8 1 1 1 1
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (x div (2 + 1)) else 1)
A326029: 0 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1
(if (x mod (2 + 1)) <= 0 then ((x + 2) - (x div (2 + 1))) else 1)
A208648: 2 1 1 4 1 1 6 1 1 8 1 1 10 1 1 12
((((if x <= 0 then 1 else x) + (x div 2)) + (x div (2 + 1))) + 1)
A049625: 2 2 4 6 8 9 12 13 15 17 19 20 23 24 26 28
((if (x mod (2 + 1)) <= 0 then 1 else 2) * ((x div (2 + 1)) + 1))
A087627: 1 2 2 2 4 4 3 6 6 4 8 8 5 10 10 6
(if (((x + 1) mod (2 + 2)) * x) <= 0 then (x div (2 + 1)) else 1)
A316767-A316695: 0 1 1 1 1 1 1 2 1 1 1 3 1 1 1 5
(if ((x mod (2 + 1)) - 1) <= 0 then (x - (x div (2 + 1))) else 1)
A092942: 0 1 1 2 3 1 4 5 1 6 7 1 8 9 1 10
(if ((x mod (2 + 1)) mod 2) <= 0 then (x - (x div (2 + 1))) else 1)
A110090: 0 1 2 2 1 4 4 1 6 6 1 8 8 1 10 10
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then (x mod (2 + 1)) else 1)
A331596: 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
(if ((x div 2) mod ((2 + 2) + 1)) <= 0 then (x mod (2 + 1)) else 1)
A343639-A331592-A211111-A071625-A058060: 0 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1
((loop(\(x,i).((x * 2) * 2),x,1) + (x mod (2 + 1))) - 1)
A191272: 0 4 17 63 256 1025 4095 16384 65537 262143 1048576 4194305 16777215 67108864 268435457 1073741823
(if (x mod (((x div 2) mod 2) + 2)) <= 0 then (x mod (2 + 1)) else 1)
A261029: 0 1 1 0 1 1 0 1 2 1 1 1 0 1 1 0
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x mod (2 + 1)),1)
A145644: 1 10 100 1 10 100 1 10 100 1 10 100 1 10 100 1
loop(\(x,i).(x * x),(x div (2 + 1)),((x mod (2 + 1)) + 1))
A121340: 1 2 3 1 4 9 1 16 81 1 256 6561 1 65536 43046721 1
(((if (x - 2) <= 0 then x else 1) + x) mod ((x mod (2 + 1)) + 1))
A111406: 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0
((if (((x div 2) * x) mod 2) <= 0 then x else (x mod (2 + 1))) + 1)
A327938-A065883: 1 2 3 1 5 6 7 2 9 10 11 3 13 14 15 1
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 1)) + 1)
A199418: 4 22 148 1030 7204 50422 352948 2470630 17294404 121060822 847425748 5931980230 41523861604 290667031222 2034669218548 14242684529830
(loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(2 + 1)) + 1)
A002813: 4 19 5779 192900153619 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then (2 - (((1 - x) * x) div (2 + 1))) else 1)
A097922: 1 1 3 4 6 9 12 16 21 26 32 39 46 54 63 72
(((if ((x div 2) mod 2) <= 0 then (2 - x) else x) mod (2 + 1)) - 1)
A260192: 1 0 1 ~1 0 ~1 ~1 0 ~1 1 0 1 1 0 1 ~1
((if ((x div 2) - 2) <= 0 then x else ((x * x) div (2 + 1))) + 1)
A057224: 1 2 3 4 5 6 13 17
((if ((2 - x) + 2) <= 0 then (((x + 1) * x) div 2) else 1) - 1)
A184218: 0 0 0 0 9 14 20 27 35 44 54 65 77 90 104 119
loop(\(x,i).(i * x),((((x * 2) * 2) div (x + 2)) + 1),1)
A048765: 1 2 6 6 6 6 24 24 24 24 24 24 24 24 24 24
loop(\(x,i).(i * x),(x - ((x * x) div ((x + 2) + 1))),1)
A343122-A338869: 1 1 2 2 2 2 2 6 6 6 6 6 6 6 6 6
(((x + 1) div loop(\(x,i).((x div 2) + 2),(x - 2),1)) + 1)
A343435: 2 3 4 3 2 3 3 3 4 4 4 5 5 5 6 6
(loop(\(x,i).(((x * x) + 2) * (i - 1)),(x * 2),1) + 1)
A071219: 2 3 439
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * 2),1) - 1)
A098609: 0 99 9999 999999 99999999 9999999999 999999999999 99999999999999 9999999999999999 999999999999999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((0 - x) * 2),(((x mod 2) + (x * 2)) - 1),1)
A091095: 1 4 ~8 64 ~128 1024 ~2048 16384 ~32768 262144 ~524288 4194304 ~8388608 67108864 ~134217728 1073741824
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),((x * 2) + 1),1)
A013717: 12 1728 248832 35831808 5159780352 743008370688 106993205379072 15407021574586368 2218611106740436992 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * x) * 2),2,2) * ((x * 2) + 1)) - 1)
A143034: 127 383 639 895 1151 1407 1663 1919 2175 2431 2687 2943 3199 3455 3711 3967
((loop(\(x,i).(x * x),2,(2 + 2)) * ((x * 2) + 1)) - 1)
A143035: 255 767 1279 1791 2303 2815 3327 3839 4351 4863 5375 5887 6399 6911 7423 7935
((loop(\(x,i).((x * x) * x),2,2) * ((x * 2) + 1)) - 1)
A143036: 511 1535 2559 3583 4607 5631 6655 7679 8703 9727 10751 11775 12799 13823 14847 15871
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x * 2) + 1),1)
A013715: 10 1000 100000 10000000 1000000000 100000000000 10000000000000 1000000000000000 100000000000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((x * 2) + 1),1)
A013712: 7 343 16807 823543 40353607 1977326743 96889010407 4747561509943 232630513987207 11398895185373143 558545864083284007 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((x + 1) * x) mod ((x * 2) + 1)),1)
A076936: 1 4 2 32 4 256 8 2048 16 16384 32 131072 64 1048576 128 8388608
((((if (x mod 2) <= 0 then 1 else x) * x) div ((x div 2) + 1)) + 1)
A266662: 1 2 2 5 2 9 2 13 2 17 2 21 2 25 2 29
loop(\(x,i).i,(((x * x) * (x * x)) mod ((x div 2) + 1)),1)
A153094: 1 1 1 1 1 1 1 1 1 1 4 1 2 1 1 1
(if ((x + 2) mod ((2 + 1) * 2)) <= 0 then ((x div 2) - 1) else 1)
A336870: 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1
((if (x - ((2 + 2) * (2 + 1))) <= 0 then (x mod 2) else 1) + 1)
A082898: 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 2
((if ((x div (2 + 2)) mod (2 + 1)) <= 0 then (x mod 2) else 1) + 1)
A111626: 1 2 1 2 2 2 2 2 2 2 2 2 1 2 1 2
(((x - 1) mod (((if x <= 0 then 0 else 2) - (x mod 2)) + 1)) + 1)
A205794: 1 1 2 1 1 1 3 1 2 1 1 1 3 1 2 1
(2 - ((if ((x div (2 + 1)) - 2) <= 0 then (x mod 2) else 1) - 1))
A308006: 3 2 3 2 3 2 3 2 3 2 2 2 2 2 2 2
((if (x mod ((x div (2 + 2)) + 2)) <= 0 then (x mod 2) else 1) + 1)
A105220: 1 2 1 2 2 2 1 2 1 2 2 2 2 2 2 2
((loop(\(x,i).(x * 2),x,1) div ((2 - (x mod 2)) + 1)) + 1)
A080880: 1 2 2 5 6 17 22 65 86 257 342 1025 1366 4097 5462 16385
(((if (x - 2) <= 0 then 1 else x) mod ((2 - (x mod 2)) + 1)) - 1)
A063933: 0 0 0 0 0 0 ~1 0 1 0 0 0 ~1 0 1 0
loop(\(x,i).((x * 2) * 2),(((x div 2) - (x mod 2)) + 1),1)
A094361: 4 1 16 4 64 16 256 64 1024 256 4096 1024 16384 4096 65536 16384
(x - (loop(\(x,i).(x * 2),(x div 2),((x mod 2) - 1)) - 1))
A016724: 2 2 5 4 9 6 15 8 25 10 43 12 77 14 143 16
loop(\(x,i).(i * x),((((x * x) * x) + (x mod 2)) + 1),1)
A079288: 1 6 362880 4611686018427387903
((1 mod (if ((x - 1) mod ((2 + 2) + 1)) <= 0 then x else 1)) + 1)
A074064: 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1
loop(\(x,i).((x * 2) * (2 + 1)),(((2 + 1) * x) + 1),1)
A013738: 6 1296 279936 60466176 13060694016 2821109907456 609359740010496 131621703842267136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),(((2 + 1) * x) + 1),1)
A013742: 8 4096 2097152 1073741824 549755813888 281474976710656 144115188075855872 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(((2 + 1) * x) + 1),1)
A013736: 5 625 78125 9765625 1220703125 152587890625 19073486328125 2384185791015625 298023223876953125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x + 1) * x) div ((x div 2) + 1)),x,1) + 1)
A256994: 2 3 4 7 11 19 35 67 131 259 515 1027 2051 4099 8195 16387
(loop(\(x,i).(((i + 1) * x) * ((i mod 2) + 1)),x,1) + 1)
A082101: 2 5 13 97
((2 mod (if ((x - 2) mod ((2 + 1) * 2)) <= 0 then x else 1)) + 1)
A262619-A166123: 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 1
((1 - x) mod ((if (x mod ((2 + 1) * 2)) <= 0 then x else 1) + 1))
A340928: 0 0 1 0 1 0 2 0 1 0 1 0 2 0 1 0
(loop(\(x,i).((((i + 2) * x) * (i + 1)) div 2),x,1) + 1)
A061213: 2 4 19 181 2701 56701 1587601 57153601 2571912001 141455160001 9336040560001 728211163680001 66267215894880001 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * x),1,(((x + 2) * x) + 1)) - 1)
A123866: 0 63 728 4095 15624 46655 117648 262143 531440 999999 1771560 2985983 4826808 7529535 11390624 16777215
((((x * 2) * (x + 1)) + loop(\(x,i).(x * 2),x,1)) + 1)
A321123: 2 7 17 33 57 93 149 241 401 693 1245 2313 4409 8557 16805 33249
loop(\(x,i).(((x + 1) * 2) + 1),(((x mod 2) * x) - 1),1)
A277866: 1 1 1 13 1 61 1 253 1 1021 1 4093 1 16381 1 65533
(((if x <= 0 then 0 else (((2 + 2) * 2) + 1)) div (x + 1)) + 1)
A317173-A190302: 1 5 4 3 2 2 2 2 2 1 1 1 1 1 1 1
((loop(\(x,i).(x * x),2,((2 + 2) + 1)) * (x + 1)) + 1)
A158383: 626 1251 1876 2501 3126 3751 4376 5001 5626 6251 6876 7501 8126 8751 9376 10001
(loop(\(x,i).((i + 2) * x),((2 + 2) + 1),(x + 1)) - 1)
A166931: 2519 5039 7559 10079 12599 15119 17639 20159 22679 25199 27719 30239 32759 35279 37799 40319
((loop(\(x,i).((x + 2) * (x + 2)),2,1) * (x + 1)) + 1)
A158131: 122 243 364 485 606 727 848 969 1090 1211 1332 1453 1574 1695 1816 1937
loop(\(x,i).((((x * 2) - 1) * 2) * (2 + 1)),(x + 1),1)
A127858: 6 66 786 9426 113106 1357266 16287186 195446226 2345354706 28144256466 337731077586 4052772931026 48633275172306 583599302067666 7003191624811986 84038299497743826
(loop(\(x,i).((i * i) * (x * 2)),(2 + 1),(x + 1)) + 1)
A157990: 289 577 865 1153 1441 1729 2017 2305 2593 2881 3169 3457 3745 4033 4321 4609
(loop(\(x,i).((i * i) * (x * 2)),(2 + 1),(x + 1)) - 1)
A157997: 287 575 863 1151 1439 1727 2015 2303 2591 2879 3167 3455 3743 4031 4319 4607
((loop(\(x,i).((i * x) * x),2,(2 + 1)) * (x + 1)) + 1)
A157952: 163 325 487 649 811 973 1135 1297 1459 1621 1783 1945 2107 2269 2431 2593
((loop(\(x,i).((i * x) * x),2,(2 + 1)) * (x + 1)) - 1)
A157954: 161 323 485 647 809 971 1133 1295 1457 1619 1781 1943 2105 2267 2429 2591
loop(\(x,i).((((i * i) * (2 + 2)) + x) + 1),(x + 1),1)
A208598: 6 23 60 125 226 371 568 825 1150 1551 2036 2613 3290 4075 4976 6001
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),(x + 1)) - 1)
A064752: 5 71 647 5183 38879 279935 1959551 13436927 90699263 604661759 3990767615 26121388031 169789022207 1097098297343 7052774768639 45137758519295
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),(x + 1)) - 1)
A064754: 7 127 1535 16383 163839 1572863 14680063 134217727 1207959551 10737418239 94489280511 824633720831 7146825580543 61572651155455 527765581332479 4503599627370495
((loop(\(x,i).((x * x) * x),2,(x + 1)) * (x + 1)) - 1)
A123867: 0 1023 59048 1048575 9765624 60466175 282475248 1073741823 3486784400 9999999999 25937424600 61917364223 137858491848 289254654975 576650390624 1099511627775
((loop(\(x,i).(((i * x) + 1) * x),x,1) * (x + 1)) + 1)
A295391: 2 5 31 1241 1923551 4440055831261 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) + 1)
A158133: 145 289 433 577 721 865 1009 1153 1297 1441 1585 1729 1873 2017 2161 2305
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) - 1)
A158136: 143 287 431 575 719 863 1007 1151 1295 1439 1583 1727 1871 2015 2159 2303
((loop(\(x,i).(x * x),((x * x) - 1),2) * (x + 1)) + 1)
A119497: 3 5 769 4611686018427387903
((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) + 1)
A158128: 101 201 301 401 501 601 701 801 901 1001 1101 1201 1301 1401 1501 1601
(((loop(\(x,i).(x * 2),(x - 1),2) + 2) * (x + 1)) + 1)
A292773: 5 9 19 41 91
((loop(\(x,i).((x * x) * (2 + 2)),2,2) * (x + 1)) - 1)
A158421: 1023 2047 3071 4095 5119 6143 7167 8191 9215 10239 11263 12287 13311 14335 15359 16383
(loop(\(x,i).(x * x),1,(((2 + 2) * 2) * (x + 1))) - 1)
A158684: 63 255 575 1023 1599 2303 3135 4095 5183 6399 7743 9215 10815 12543 14399 16383
loop(\(x,i).(x * x),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017150: 49 225 529 961 1521 2209 3025 3969 5041 6241 7569 9025 10609 12321 14161 16129
loop(\(x,i).(x * x),2,((((2 + 2) * 2) * (x + 1)) - 1))
A017152: 2401 50625 279841 923521 2313441 4879681 9150625 15752961 25411681 38950081 57289761 81450625 112550881 151807041 200533921 260144641
((loop(\(x,i).((x + 2) * (x + 2)),2,2) * (x + 1)) + 1)
A158272: 325 649 973 1297 1621 1945 2269 2593 2917 3241 3565 3889 4213 4537 4861 5185
((loop(\(x,i).((x + 2) * (x + 2)),2,2) * (x + 1)) - 1)
A158306: 323 647 971 1295 1619 1943 2267 2591 2915 3239 3563 3887 4211 4535 4859 5183
((loop(\(x,i).((i + x) * (x + 2)),2,2) * (x + 1)) + 1)
A158223: 197 393 589 785 981 1177 1373 1569 1765 1961 2157 2353 2549 2745 2941 3137
((loop(\(x,i).((i + x) * (x + 2)),2,2) * (x + 1)) - 1)
A158225: 195 391 587 783 979 1175 1371 1567 1763 1959 2155 2351 2547 2743 2939 3135
loop(\(x,i).((i * x) * 2),x,(((2 + 2) * (x + 1)) + 1))
A158455: 5 18 104 816 8064 96000 1336320 21288960 381911040 7617576960 167215104000 4005730713600 103985499340800 2907670000435200 87128076504268800 2785241789890560000
loop(\(x,i).(x * x),(2 + 1),(((2 + 2) * (x + 1)) - 1))
A016844: 6561 5764801 214358881 2562890625 16983563041 78310985281 282429536481 852891037441 2251875390625 5352009260481 11688200277601 23811286661761 45767944570401 83733937890625
loop(\(x,i).((x * x) * x),1,(((2 + 2) * (x + 1)) - 1))
A016839: 27 343 1331 3375 6859 12167 19683 29791 42875 59319 79507 103823 132651 166375 205379 250047
loop(\(x,i).((x * x) * x),2,(((2 + 2) * (x + 1)) - 1))
A016845: 19683 40353607 2357947691 38443359375 322687697779 1801152661463 7625597484987 26439622160671 78815638671875 208728361158759 502592611936843 1119130473102767 2334165173090451 4605366583984375
loop(\(x,i).(((((2 + 2) * 2) + x) + 2) * 2),(x + 1),1)
A305064: 22 64 148 316 652 1324 2668 5356 10732 21484 42988 85996 172012 344044 688108 1376236
loop(\(x,i).(x * x),1,((((x + 2) + 2) * (x + 1)) - 1))
A207399: 9 81 289 729 1521 2809 4761 7569 11449 16641 23409 32041 42849 56169 72361 91809
loop(\(x,i).(x - (((2 - x) div (i + 2)) - 2)),(x + 1),1)
A280944: 3 6 9 13 17 21 26 31 36 41 46 52 58 64 70 76
((loop(\(x,i).(((2 + 1) * x) + 2),x,2) div (x + 1)) + 1)
A129787: 3 5 9 21 49 122 313 821 2187 5905 16105 44287 122641 341641 956594 2690421
(((if (((x mod 2) * x) div 2) <= 0 then x else 2) * (x + 1)) + 1)
A096102: 1 3 7 9 21 13
loop(\(x,i).((x * 2) * (x + 1)),((x + 2) * (x + 1)),1)
A116101: 40 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) + 2) * 2),((x + 2) * (x + 1)),1)
A116246: 76 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) + 2),((x + 2) * (x + 1)),1)
A119566: 22 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) + 1) * x),((x + 2) * (x + 1)),1)
A062012: 21 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,((((x * x) + 2) * (x + 1)) - 1))
A002776: 1 5 34 258 2136 19320 190800 2051280 23909760 300827520 4067884800 58877280000 908666035200 14901260774400 258832346572800 4748165630208000
(((if (x - 2) <= 0 then x else ((x + 2) * x)) * (x + 1)) + 1)
A046859: 1 3 7 61
((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)
A006519: 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 16
loop(\(x,i).((x mod ((i div (2 + 1)) + 1)) + 1),(x - 1),1)
A243712: 1 1 1 1 2 1 2 3 1 2 3 4 1 2 3 4
loop(\(x,i).((x * 2) mod (((2 + 2) * 2) + 1)),(x - 1),1)
A029898: 1 1 2 4 8 7 5 1 2 4 8 7 5 1 2 4
loop(\(x,i).((x - (i * 2)) * ((i * 2) + 1)),(x - 1),1)
A339516: 1 1 ~3 ~35 ~287 ~2655 ~29315 ~381251 ~5718975 ~97222847 ~1847234435 ~38791923555 ~892214242271 ~22305356057375 ~602244613549827 ~17465093792945795
loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1)
A001405: 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435
loop(\(x,i).((((i * i) + (x div 2)) * x) + 1),(x - 1),1)
A287149: 1 1 2 11 155
loop(\(x,i).(x - (x div ((x mod (0 - 2)) - 2))),(x - 1),1)
A000792: 1 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243
loop(\(x,i).((x - (1 - ((i mod 2) * 2))) * 2),(x - 1),1)
A084214: 1 1 4 6 14 26 54 106 214 426 854 1706 3414 6826 13654 27306
loop(\(x,i).(((i mod 2) + x) + ((x div 2) * 2)),(x - 1),1)
A115451: 1 1 2 4 9 17 34 68 137 273 546 1092 2185 4369 8738 17476
loop(\(x,i).((((i * 2) * (2 + 1)) + 1) * x),(x - 1),1)
A008542: 1 1 7 91 1729 43225 1339975 49579075 2131900225 104463111025 5745471106375 350473737488875 23481740411754625 1714167050058087625 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) div (2 + 1)) + 1) * x),(x - 1),1)
A004395: 1 1 1 2 6 18 72 360 1800 10800 75600 529200 4233600 38102400 342921600 3429216000
loop(\(x,i).((x mod (((2 + 2) * 2) + 1)) + x),(x - 1),1)
A130917: 1 1 2 4 8 16 23 28 29 31 35 43 50 55 56 58
loop(\(x,i).(((((i * 2) * 2) * 2) + 1) * x),(x - 1),1)
A045755: 1 1 9 153 3825 126225 5175225 253586025 14454403425 939536222625 68586144251625 5555477684381625 494437513909964625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 - ((i mod 2) * (2 + 1))) * x),(x - 1),1)
A117575: 1 1 ~1 ~2 2 4 ~4 ~8 8 16 ~16 ~32 32 64 ~64 ~128
loop(\(x,i).((((i mod 2) * (x + 2)) + x) * x),(x - 1),1)
A262546: 1 1 4 16 544
loop(\(x,i).((((i * i) * i) * (i * i)) + x),(x - 1),1)
A263689: 1 1 2 34 277 1301 4426 12202 29009 61777 120826 220826 381877 630709 1002002 1539826
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + 1)
A034524: 2 12 122 1332 14642 161052 1771562 19487172 214358882 2357947692 25937424602 285311670612 3138428376722 34522712143932 379749833583242 4177248169415652
(loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),x,1) + 1)
A224384: 2 18 290 4914 83522 1419858 24137570 410338674 6975757442 118587876498 2015993900450 34271896307634 582622237229762 9904578032905938 168377826559400930 2862423051509815794
(loop(\(x,i).((((i div 2) + x) * (i + 2)) + x),x,1) - 1)
A079755: 0 3 23 148 1054 8453 76109 761126 8372436 100469287 1306100803 18285411320 274281169898 4388498718473 74604478214169 1342880607855178
((x * x) - (x - ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)))
A163979: 1 3 5 7 15 23 31 45 59 73 93 113 133 159 185 211
(x div (((if ((x div (2 + 2)) - 2) <= 0 then 2 else 0) + 2) + 1))
A035660: 0 0 0 0 0 1 1 1 1 1 2 2 4 4 4 5
((if ((x div 2) - (x mod ((2 + 2) * 2))) <= 0 then 0 else 2) + 1)
A324497: 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 1
loop(\(x,i).i,(x mod (2 - ((x div (2 + 2)) div (0 - 2)))),1)
A341674: 1 1 1 1 1 2 1 1 2 1 1 2 1 1 2 3
(if (x mod 2) <= 0 then ((x mod (2 + 2)) + 2) else ((0 - 2) - 1))
A131731: 2 ~3 4 ~3 2 ~3 4 ~3 2 ~3 4 ~3 2 ~3 4 ~3
(if x <= 0 then 1 else (x - (((x + 2) * x) div ((0 - 2) - 1))))
A183861: 1 2 5 8 12 17 22 28 35 42 50 59 68 78 89 100
((if (x mod (2 + 1)) <= 0 then 0 else 2) - (x div ((0 - 2) - 1)))
A226576: 0 3 3 1 4 4 2 5 5 3 6 6 4 7 7 5
(if (x mod 2) <= 0 then 1 else (x div (2 - (x div ((0 - 2) - 1)))))
A122402: 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2
(if x <= 0 then 1 else (((2 + 1) * x) - (x div ((0 - 2) - 1))))
A123384: 1 4 7 10 14 17 20 24 27 30 34 37 40 44 47 50
loop(\(x,i).(x * 2),(x div 2),(x - ((x div (0 - 2)) - 1)))
A058582: 1 3 8 12 28 36 80 96 208 240 512 576 1216 1344 2816 3072
((loop(\(x,i).(((i * x) - (i div 2)) + 1),x,0) div 2) + 1)
A177921: 1 1 2 4 12 58
(((((x * 2) * 2) * 2) + 1) div ((if x <= 0 then 0 else 2) + 1))
A097911: 1 3 5 8
A008576: 1 3 5 8 11 13 16 19 21 24 27 29 32 35 37 40
(((x + 2) + 2) - ((1 - x) div ((if x <= 0 then 0 else 2) + 1)))
A024352: 3 5 7 8 9 11 12 13 15 16 17 19 20 21 23 24
(if ((x - 1) mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 2 else 1)
A131789: 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1
(if x <= 0 then 1 else (x - (((x mod ((0 - 2) - 1)) * 2) + 1)))
A074066: 1 4 3 2 7 6 5 10 9 8 13 12 11 16 15 14
((x div (if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else 2)) + 1)
A291581-A291580-A058035: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 8
(if (((x + 2) + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1)
A120336-A030392: 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1
(if (2 - ((x + 2) mod (((2 + 1) * 2) + 1))) <= 0 then 2 else 1)
A083534: 2 2 2 2 2 1 1 2 2 2 2 2 1 1 2 2
(loop(\(x,i).(x * x),x,((((2 + 1) * 2) + 1) * 2)) + 1)
A152587: 15 197 38417 1475789057 2177953337809371137 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then ((x div (((2 + 1) * 2) + 1)) mod 2) else 1)
A266253: 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0
(((x + 1) div (if ((x div (2 + 1)) - 2) <= 0 then 1 else 2)) + 1)
A254596: 2 3 4 5 6 7 8 9 10 6 6 7 7 8 8 9
((((loop(\(x,i).((x * 2) * 2),x,1) + 2) + 1) * 2) + 1)
A193579: 9 15 39 135 519 2055 8199 32775 131079 524295 2097159 8388615 33554439 134217735 536870919 2147483655
(if (2 - x) <= 0 then (((((x - 1) div 2) div 2) + 1) * 2) else 1)
A096445: 1 1 2 2 2 4 4
A007614: 1 1 2 2 2 4 4 4 4 6 6 6 6 8 8 8
(if (x mod ((((x div (2 + 2)) + 2) * 2) + 1)) <= 0 then 2 else 1)
A078572: 2 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1
((x div ((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 2)) + 1)
A185322: 1 1 1 1 2 2 2 2 3 3 4 4 5 5 5 6
(if (x mod (((((x mod 2) * 2) * 2) * 2) + 1)) <= 0 then 2 else 1)
A214715: 2 1 2 1 2 1 2 1 2 2 2 1 2 1 2 1
(if ((x - 1) div (((x mod (2 + 2)) * 2) - 1)) <= 0 then 2 else 1)
A106825: 1 2 2 2 2 1 1 1 2 1 1 1 2 1 1 1
loop(\(x,i).(i * x),(((((x + 2) * 2) * 2) - 1) * 2),1)
A045519: 87178291200 4611686018427387903 4611686018427387903 4611686018427387903
(if (((x div (2 + 1)) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A152906-A109037-A030597: 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1
loop(\(x,i).i,((((x * 2) - 1) div ((2 + 2) + 1)) - 2),1)
A103264: 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3
(if (x mod 2) <= 0 then (((x - 1) div ((2 + 2) + 1)) mod 2) else 1)
A137161: 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1
(loop(\(x,i).((x * x) - 2),x,(((2 + 2) + 1) * 2)) - 1)
A145509: 9 97 9601 92198401 8500545331353601 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),x,(((2 + 2) + 1) * 2)) + 1)
A144784: 11 111 12211 149096311 22229709804712411 4611686018427387903 4611686018427387903
loop(\(x,i).i,((x + 1) mod ((x div ((2 + 2) + 1)) + 2)),1)
A285851: 1 1 1 1 1 1 1 2 1 1 3 1 1 2 3 1
((((loop(\(x,i).((x * 2) * 2),x,2) + 2) + 1) * 2) + 1)
A195463: 11 23 71 263 1031 4103 16391 65543 262151 1048583 4194311 16777223 67108871 268435463 1073741831 4294967303
(if (((x + 2) + 1) mod (((x - 2) * 2) - 1)) <= 0 then 2 else 1)
A258383: 2 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1
loop(\(x,i).(x * x),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017102: 9 121 361 729 1225 1849 2601 3481 4489 5625 6889 8281 9801 11449 13225 15129
loop(\(x,i).(x * x),2,(((((x * 2) * 2) + 1) * 2) + 1))
A017104: 81 14641 130321 531441 1500625 3418801 6765201 12117361 20151121 31640625 47458321 68574961 96059601 131079601 174900625 228886641
loop(\(x,i).((2 + 1) * x),((((x * 2) * 2) + 1) * 2),1)
A013790: 9 59049 387420489 2541865828329 16677181699666569 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (((x + 1) * x) mod ((x div 2) + 2)) <= 0 then 1 else 2) + 1)
A281855: 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3
(((x div (2 + 2)) mod (if ((x div 2) - 2) <= 0 then 1 else 2)) + 1)
A342461: 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2
(if (x mod (((x div (2 + 2)) + 1) * (2 + 1))) <= 0 then 2 else 1)
A205375: 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 1
(if x <= 0 then 1 else (x - ((((x + 1) div (2 + 1)) * 2) + 1)))
A253174: 1 0 ~1 0 1 0 1 2 1 2 3 2 3 4 3 4
loop(\(x,i).(i div (2 + 1)),(((x - 1) div (2 + 1)) * 2),1)
A262742: 1 1 1 1 0 0 0 1 1 1 2 2 2 2 2 2
(if ((x mod ((2 + 2) * (0 - 2))) mod (2 + 1)) <= 0 then 2 else 1)
A245222: 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1
(if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 2 else 1)
A055443-A003842: 1 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1
loop(\(x,i).i,(x mod (((x div (2 + 2)) mod (2 + 1)) + 2)),1)
A321744: 1 1 1 1 1 2 1 1 1 1 2 3 1 1 1 1
(if ((x - 2) mod (((x mod 2) + 2) * (2 + 1))) <= 0 then 2 else 1)
A085006: 1 1 2 1 1 1 1 1 2 1 1 2 1 1 2 1
loop(\(x,i).((2 - x) + 2),(((x - 2) div (2 + 1)) - 2),1)
A172364-A172358: 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1
loop(\(x,i).((2 + 1) * x),(((x * 2) * (2 + 1)) + 2),1)
A013744: 9 6561 4782969 3486784401 2541865828329 1853020188851841 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 2) - loop(\(x,i).i,(((x * 2) div (2 + 1)) - 2),1))
A091987: 1 2 3 4 5 6 6 7 7 7 8 8 8 9 9 9
loop(\(x,i).(x * 2),x,((((x * 2) div (2 + 1)) * 2) + 1))
A168057: 1 2 12 40 80 224 576 1152 2816 6656 13312 30720 69632 139264 311296 688128
(x div (((if (x mod 2) <= 0 then (x div 2) else (2 + 1)) + 2) + 1))
A161312-A161298-A161285-A161260-A161246-A161232-A161082-A161056-A161031-A160977: 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 2
(if ((2 - x) + 2) <= 0 then (((x div 2) div (2 + 1)) + 2) else 1)
A156081: 1 1 1 1 2 2 3 3 3 3 3 3 4 4 4 4
(if (x - 2) <= 0 then x else ((((x div 2) div (2 + 1)) + 2) + 1))
A262070: 0 1 2 3 3 3 4 4 4 4 4 4 5 5 5 5
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then ((2 + 1) * 2) else 1)
A339747: 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1
(if ((x + 1) mod ((2 + 1) * 2)) <= 0 then ((2 + 1) * 2) else 1)
A325471-A234959: 1 1 1 1 1 6 1 1 1 1 1 6 1 1 1 1
(((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 1) * 2) + 1))
A040420: 21 42 42 42 42 42 42 42 42 42 42 42 42 42 42 42
(loop(\(x,i).(x * 2),x,(2 + 1)) * (((2 + 1) * 2) + 1))
A175805: 21 42 84 168 336 672 1344 2688 5376 10752 21504 43008 86016 172032 344064 688128
(loop(\(x,i).((0 - x) * 2),x,1) mod (((2 + 1) * 2) + 1))
A070365: 1 5 4 6 2 3 1 5 4 6 2 3 1 5 4 6
((if x <= 0 then 1 else x) - ((x + 1) div (((2 + 1) * 2) + 1)))
A106744: 1 1 2 3 4 5 5 6 7 8 9 10 11 11 12 13
(loop(\(x,i).((2 + 1) * x),x,1) mod (((2 + 1) * 2) + 1))
A033940: 1 3 2 6 4 5 1 3 2 6 4 5 1 3 2 6
((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1))
A040756: 28 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56
((2 - ((if x <= 0 then 1 else x) mod 2)) * (((2 + 1) * 2) + 1))
A040043: 7 7 14 7 14 7 14 7 14 7 14 7 14 7 14 7
(loop(\(x,i).((i * i) + x),x,2) div (((2 + 1) * 2) + 1))
A173721: 0 0 1 2 4 8 13 20 29 41 55 72 93 117 145 177
(loop(\(x,i).((i * i) * x),x,2) div (((2 + 1) * 2) + 1))
A285995: 0 0 1 10 164
loop(\(x,i).(((x * 2) * 2) + 1),x,(((2 + 1) * 2) + 1))
A072261: 7 29 117 469 1877 7509 30037 120149 480597 1922389 7689557 30758229 123032917 492131669 1968526677 7874106709
loop(\(x,i).(((x - 1) * x) - 1),x,(((2 + 1) * 2) + 1))
A144747: 7 41 1639 2684681 7207509387079 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) div 2),x,(((2 + 1) * 2) + 1))
A050548: 7 28 406 82621 3413156131 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x div 2) + x),(((2 + 1) * 2) + 1))
A135536: 7 14 56 112 448 896 3584 7168 28672 57344 229376 458752 1835008 3670016 14680064 29360128
loop(\(x,i).(((2 + 2) + 1) * x),x,(((2 + 1) * 2) + 1))
A005055: 7 35 175 875 4375 21875 109375 546875 2734375 13671875 68359375 341796875 1708984375 8544921875 42724609375 213623046875
((((if (x mod 2) <= 0 then x else 1) + x) mod ((2 + 1) * 2)) + 1)
A110551: 1 3 5 5 3 1 1 3 5 5 3 1 1 3 5 5
(((2 - x) + 1) mod loop(\(x,i).i,(x - ((2 + 1) * 2)),1))
A165091-A037903-A037895-A037841: 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6
(x - ((x div 2) - loop(\(x,i).i,(x - ((2 + 1) * 2)),1)))
A079685: 1 2 2 3 3 4 4 5 6
A035448: 1 2 2 3 3 4 4 5 6 8 9 11 12 14 15 17
(x mod ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 1)) * 2) + 1))
A078979: 0 1 2 0 1 0 0 1 2 0 1 1 0 1 2 0
((((2 + 2) * 2) + x) - (if (x - (2 + 1)) <= 0 then 2 else 1))
A143616: 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22
(if (2 - x) <= 0 then (x - ((2 - (x div (2 + 1))) div 2)) else 1)
A247833: 1 1 1 3 4 5 6 7 8 10 11 12 13 14 15 17
(if (x - 2) <= 0 then 1 else (x div (((x div (2 + 1)) + 2) + 1)))
A086257: 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2 1
(if (x mod (2 + 1)) <= 0 then (x div ((x div (2 + 1)) + 2)) else 1)
A286334: 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2
(if (x mod (2 + 1)) <= 0 then 0 else (((x div (2 + 1)) * 2) + 1))
A102899: 0 1 1 0 3 3 0 5 5 0 7 7 0 9 9 0
(if ((x div (2 + 2)) - 2) <= 0 then ((x mod (2 + 1)) div 2) else 1)
A285177: 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1
((loop(\(x,i).((i * x) * (i + 1)),(x - 2),1) div 2) + 1)
A319621: 1 1 1 2 7 73
(((((x * x) - 1) div 2) div (if (x - 2) <= 0 then 1 else 2)) + 1)
A181385: 0 1 2 3 4 7 9 13 16 21 25 31 36 43 49 57
(if (2 - (((2 + 2) + 1) mod ((x div 2) + 1))) <= 0 then 2 else 1)
A343504-A328582-A328581-A227153: 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2
(loop(\(x,i).((x * x) * x),x,(((x mod 2) + 1) * 2)) - 1)
A283931: 1 63 511
(loop(\(x,i).(x * x),(((x div (2 + 2)) + x) + 1),2) + 1)
A222008: 5 17 257 65537
A286678: 5 17 257 65537 4611686018427387903 4611686018427387903
((loop(\(x,i).((x - ((i + x) mod 2)) * 2),x,1) * 2) - 1)
A267052: 1 3 7 11 23 43 87 171 343 683 1367 2731 5463 10923 21847 43691
((loop(\(x,i).(((i + x) * 2) + (i mod 2)),x,1) div 2) + 1)
A026635: 1 3 8 18 40 84 174 354 716 1440 2890 5790 11592 23196 46406 92826
((loop(\(x,i).(((x + 2) * x) * 2),2,(x + 1)) div 2) - 1)
A069760: 47 287 959 2399 5039 9407 16127 25919 39599 58079 82367 113567 152879 201599 261119 332927
(loop(\(x,i).((x + 2) * x),((x + 2) * (x + 1)),2) - 1)
A243432: 79 4611686018427387903
A093404: 79 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * x) * x),((x + 2) * (x + 1)),2) - 1)
A091308: 31 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) + 1) div (((x + 1) * 2) + 1))
A191633: 1 1 1 1 3 5 8 15 27 48 89 163 303 565 1057 1985
loop(\(x,i).(((x - 1) * x) div 2),2,(((x + 1) * 2) + 1))
A062346: 3 45 210 630 1485 3003 5460 9180 14535 21945 31878 44850 61425 82215 107880 139128
(loop(\(x,i).((x * 2) * 2),x,2) mod (((x + 1) * 2) + 1))
A178970: 2 3 4 2 6 7 2 9 10 2 12 8 20 15 16 2
loop(\(x,i).((i + 1) * x),(x * 2),(((x + 1) * 2) + 1))
A174549: 3 30 840 45360 3991680 518918400 93405312000 22230464256000 6758061133824000 2554547108585472000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((x mod 2) * 2) + ((x + 1) div 2)),1)
A164587: 1 8 2 16 4 32 8 64 16 128 32 256 64 512 128 1024
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x + 1) div 2),1)
A286508: 1 10 10 100 100 1000 1000 10000 10000 100000 100000 1000000 1000000 10000000 10000000 100000000
(((loop(\(x,i).(x * 2),(x - 1),x) * (x + 1)) div 2) + 1)
A048506: 1 2 7 25 81 241 673 1793 4609 11521 28161 67585 159745 372737 860161 1966081
(loop(\(x,i).(((x * x) * (x * x)) + 1),(x - 1),2) - 1)
A144830: 1 1 16 83521 4611686018427387903
loop(\(x,i).(((2 - x) * x) + (2 + 1)),((x - 1) div 2),1)
A239351: 1 1 1 4 4 ~5
((x + 2) - loop(\(x,i).((x - i) * 2),((x - 1) div 2),1))
A081026: 1 2 3 5 6 11 12 23 24 47 48 95 96 191 192 383
(1 div (x - (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) - 1)))
A185906: 1 ~1 ~1 0 1 0 0 0 0 0 0 0 0 0 0 0
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) * 2) + 1)
A333751-A269626-A069293: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5
(((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else 2) * 2) + 1)
A147494-A147016: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5
(0 - ((x mod ((if (x div 2) <= 0 then 2 else (0 - 2)) * 2)) + 1))
A194525: ~1 ~2 1 0 ~1 2 1 0 ~1 2 1 0 ~1 2 1 0
(((if x <= 0 then 1 else x) - (((x div 2) div (0 - 2)) - 2)) + 1)
A006672: 4 4 6 7 8 9 11 12 13 14
((x + 2) - (if x <= 0 then 1 else (x div (((0 - 2) - 2) - 1))))
A251392: 1 4 5 6 7 8 10 11 12 13 14 16 17 18 19 20
((if (x - 2) <= 0 then 1 else 2) - (x div (((0 - 2) - 2) - 1)))
A162988: 1 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5
(if (x - 2) <= 0 then x else (x - (x div (((0 - 2) - 2) - 1))))
A138083: 0 1 2 4 5 6
A080240: 0 1 2 4 5 6 8 9 10 11 12 14 15 16 17 18
(if x <= 0 then 1 else (x div ((2 - (x div ((0 - 2) - 2))) + 1)))
A058776: 1 0 0 0 1 1 1 1 1 1 1 1 2 1 2 2
((if x <= 0 then 1 else (((x * 2) - (x div (0 - 2))) * 2)) + 1)
A063097: 2 7 11 17 21 27 31 37 41 47 51 57 61 67 71 77
loop(\(x,i).(x * x),1,(((x - (x div (0 - 2))) * 2) + 1))
A216869: 1 25 49
A104777: 1 25 49 121 169 289 361 529 625 841 961 1225 1369 1681 1849 2209
(if ((x + 1) mod (((2 mod (x + 1)) + 1) * 2)) <= 0 then 2 else 1)
A062557: 1 2 1 1 1 2 1 1 1 1 1 2 1 1 1 1
(if x <= 0 then 0 else ((((x div ((0 - 2) - 1)) mod 2) * 2) - 1))
A070747: 0 1 1 1 ~1 ~1 ~1 1 1 1 ~1 ~1 ~1 1 1 1
((x div ((if ((x div 2) mod (2 + 2)) <= 0 then 1 else 2) + 2)) + 1)
A025424: 1 1 1 1 2 2 2 2 3 4 3 3 4 4 4 4
(if (x mod 2) <= 0 then (((x div ((2 + 2) + 1)) mod 2) * 2) else 1)
A175799: 0 1 0 1 0 1 2 1 2 1 0 1 0 1 0 1
(((x div (if (x mod ((x mod 2) + 2)) <= 0 then 1 else 2)) mod 2) + 1)
A300409-A279495: 1 1 1 2 1 1 1 2 1 2 1 2 1 1 1 2
((if (x mod 2) <= 0 then (((x - 1) div (2 + 1)) mod 2) else 2) + 1)
A071282: 2 3 1 3 2 3 2 3 1 3 2 3 2 3 1 3
(if (x mod 2) <= 0 then ((((x div 2) div (2 + 1)) mod 2) * 2) else 1)
A221169: 0 1 0 1 0 1 2 1 2 1 2 1 0 1 0 1
((((loop(\(x,i).(x * x),x,2) div (2 + 1)) * 2) * 2) + 1)
A101694: 1 5 21 341 87381 5726623061 4611686018427387903 4611686018427387903 4611686018427387903
(if ((((x + 1) div 2) + 1) mod ((2 + 1) * 2)) <= 0 then 2 else 1)
A083888: 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1
(((loop(\(x,i).((x + 2) * 2),x,(2 + 1)) * 2) * 2) + 1)
A305155: 13 41 97 209 433 881 1777 3569 7153 14321 28657 57329 114673 229361 458737 917489
(if ((2 - x) + 2) <= 0 then (((x mod (2 + 1)) div 2) + 2) else 1)
A166497: 1 1 1 1 2 3 2 2 3 2 2 3 2 2 3 2
(x - (((0 - (x div (if (x - 2) <= 0 then 1 else 2))) div 2) - 1))
A247914-A184518: 1 3 4 5 6 7 9 10 11 12 14 15 16 17 19 20
(loop(\(x,i).(x * x),1,((((x * 2) + 1) * 2) * 2)) - 1)
A177065: 15 143 399 783 1295 1935 2703 3599 4623 5775 7055 8463 9999 11663 13455 15375
loop(\(x,i).(x * x),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017126: 25 169 441 841 1369 2025 2809 3721 4761 5929 7225 8649 10201 11881 13689 15625
loop(\(x,i).(x * x),2,(((((x * 2) + 1) * 2) * 2) + 1))
A017128: 625 28561 194481 707281 1874161 4100625 7890481 13845841 22667121 35153041 52200625 74805201 104060401 141158161 187388721 244140625
(((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + 2) + 2) + 1)
A253209: 6 11 41 221 1301 7781 46661 279941 1679621 10077701 60466181 362797061 2176782341 13060694021 78364164101 470184984581
(((loop(\(x,i).(((x * 2) + 1) * 2),x,1) div 2) + 2) + 1)
A340498: 3 6 16 56 216 856 3416 13656 54616 218456 873816 3495256 13981016 55924056 223696216 894784856
((((0 - (if ((x div 2) - 2) <= 0 then x else 1)) div 2) div 2) + 1)
A016346-A016284-A015934-A014034: 1 0 0 0 0 ~1 0 0 0 0 0 0 0 0 0 0
(if x <= 0 then 1 else ((((((x - 2) * x) + 1) + 2) * 2) + 1))
A207079: 1 5 7 13 23
((loop(\(x,i).(((x + 2) + 1) * 2),(x + 1),2) * 2) + 1)
A304517: 21 53 117 245 501 1013 2037 4085 8181 16373 32757 65525 131061 262133 524277 1048565
((loop(\(x,i).((x * x) - 2),x,((x + 1) * 2)) * 2) + 1)
A057706: 5 29 2309
loop(\(x,i).((x mod (2 + 2)) * i),(((x + 1) div 2) div 2),1)
A248782: 1 1 1 1 1 1 1 2 2 2 2 6 6 6 6 8
(((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 2) + 2) + 1)
A178676: 6 10 30 130 630 3130 15630 78130 390630 1953130 9765630 48828130 244140630 1220703130 6103515630 30517578130
(((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - 2) - 2) - 1)
A178671: ~4 0 20 120 620 3120 15620 78120 390620 1953120 9765620 48828120 244140620 1220703120 6103515620 30517578120
(x mod ((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) * 2) + 1))
A070692: 0 1 2 0 4 5 0 7 8 0 1 2 0 4 5 0
(((if (x mod 2) <= 0 then x else (x mod ((0 - 2) - 2))) div 2) + 1)
A110514: 1 ~1 2 0 3 ~1 4 0 5 ~1 6 0 7 ~1 8 0
(if ((x * 2) mod ((x mod ((2 + 1) * 2)) + 2)) <= 0 then 2 else 1)
A214713: 2 1 2 1 1 1 2 1 2 1 1 1 2 1 2 2
(((((loop(\(x,i).(x * 2),x,1) + 2) + 2) * 2) * 2) - 1)
A168144: 19 23 31 47 79
(if (((x div (((x mod 2) - 2) * 2)) + 2) + 2) <= 0 then 2 else 1)
A338650: 1 1 1 1 1 1 1 2 1 2 1 2 1 2 2 2
(if ((((x + 1) div 2) + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A184318: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1
(if ((2 - (x div (0 - 2))) mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A318191-A208183: 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1
(if ((((x div 2) + x) - 2) mod ((2 + 2) * 2)) <= 0 then 2 else 1)
A249545-A122934-A072170: 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 1
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) * 2) + 1))
A222011: 1 2 4 8
A062116: 1 2 4 8 16 15 13 9 1 2 4 8 16 15 13 9
loop(\(x,i).((2 + 1) * x),x,((((2 + 2) * 2) * 2) + 1))
A258598: 17 51 153 459 1377 4131 12393 37179 111537 334611 1003833 3011499 9034497 27103491 81310473 243931419
loop(\(x,i).(i * x),x,(x div ((((2 + 2) * 2) * 2) - 1)))
A061126: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1307674368000
(loop(\(x,i).((x + 1) * x),x,(((2 + 2) * 2) * 2)) + 1)
A179093: 17 273 74257 5514027793 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * 2) + 1),x,((2 + 2) * 2)) div 2) + 1)
A116453: 5 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456
(((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2) * 2) - 1)
A166118: 15 47 111 239 495 1007 2031 4079 8175 16367 32751 65519 131055 262127 524271 1048559
(if (((x * x) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 1)
A031230: 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1
((loop(\(x,i).(x * 2),x,(((x + 2) + 2) + 2)) div 2) + 1)
A115618: 4 8 17 37 81 177 385 833 1793 3841 8193 17409 36865 77825 163841 344065
loop(\(x,i).((i + 1) * x),((((x * 2) * 2) * 2) * 2),1)
A198803: 1 355687428096000 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) * 2) + 1)
A199677: 9 73 649 5833 52489 472393 4251529 38263753 344373769 3099363913 27894275209 251048476873 2259436291849 20334926626633 183014339639689 1647129056757193
(((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) * 2) - 1)
A198966: 7 71 647 5831 52487 472391 4251527 38263751 344373767 3099363911 27894275207 251048476871 2259436291847 20334926626631 183014339639687 1647129056757191
(if (((x + 2) * x) mod (((x div 2) + 2) + 2)) <= 0 then 2 else 1)
A276948: 2 1 1 2 2 1 1 2 2 1 1 1 1 1 1 1
(if (((x div 2) + 2) mod (((x mod 2) + 2) * 2)) <= 0 then 2 else 1)
A263723: 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1
(if ((((x + 1) div (2 + 1)) + 1) mod (2 + 2)) <= 0 then 2 else 1)
A025454: 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1
(if (x - (((x div (2 + 1)) - 1) * (2 + 2))) <= 0 then 2 else 1)
A115579-A115573: 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2
(if (((((x div 2) * x) div 2) + 1) mod (2 + 2)) <= 0 then 2 else 1)
A298917: 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1
((loop(\(x,i).(x * x),((x * 2) - 1),(2 + 2)) * 2) - 1)
A101329: 7 31 131071 4611686018427387903
(x - ((((x - 2) div (if x <= 0 then 1 else (2 + 2))) * 2) + 1))
A183041: 3 2 1 2 3 4 3 4 5 6 5 6 7 8 7 8
((loop(\(x,i).(x * x),((x + 1) * 2),(2 + 2)) + 2) + 1)
A063485: 259 4294967299 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x - ((x div (2 + 2)) + 2)) mod (2 + 2)) <= 0 then 2 else 1)
A030419: 1 1 2 1 1 1 1 2 2 1 1 1 1 2 1 1
(if ((((1 - x) * (x div 2)) + 2) mod (2 + 2)) <= 0 then 2 else 1)
A264119: 1 1 1 2 2 1 1 2 1 1 1 2 2 1 1 2
(if ((((x - 2) * 2) mod (x + 2)) mod (2 + 2)) <= 0 then 2 else 1)
A111621: 2 1 2 1 2 1 2 1 1 1 2 1 1 1 2 1
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 1)
A268355-A008834: 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 8
(((x + 2) * x) div (if (x mod 2) <= 0 then ((2 + 2) * 2) else 1))
A198148: 0 3 1 15 3 35 6 63 10 99 15 143 21 195 28 255
(if (((x div 2) - 2) - 2) <= 0 then 0 else (((2 + 2) * 2) + 1))
A270172-A066568: 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 9
(((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1))
A040702: 27 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54
(loop(\(x,i).(x * 2),x,(2 + 1)) * (((2 + 2) * 2) + 1))
A175806: 27 54 108 216 432 864 1728 3456 6912 13824 27648 55296 110592 221184 442368 884736
(if x <= 0 then 1 else (x - ((x - 1) mod (((2 + 2) * 2) + 1))))
A160941: 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10
(loop(\(x,i).(x * 2),x,(2 + 2)) mod (((2 + 2) * 2) + 1))
A146501: 4 8 7 5 1 2 4 8 7 5 1 2 4 8 7 5
((2 - ((if x <= 0 then 1 else x) mod 2)) * (((2 + 2) * 2) + 1))
A040073: 9 9 18 9 18 9 18 9 18 9 18 9 18 9 18 9
loop(\(x,i).((x * x) * x),(x * 2),(((2 + 2) * 2) + 1))
A154110: 9 387420489
loop(\(x,i).(((x - 1) * x) - 1),x,(((2 + 2) * 2) + 1))
A144745: 9 71 4969 24685991 609398126966089 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),(x - 1),x) * (((2 + 2) * 2) + 1))
A295473: 0 9 18 54 216 1080 6480 45360 362880 3265920 32659200 359251200 4311014400 56043187200 784604620800 11769069312000
loop(\(x,i).(((x + 1) * x) div 2),x,(((2 + 2) * 2) + 1))
A050909: 9 45 1035 536130 143717956515 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then x else 2) + x) div (((2 + 2) * 2) + 1))
A072527: 0 0 0 0 0 0 1 1 1 1 2 1 2 1 3 1
(if (x mod (2 + 1)) <= 0 then 1 else (x div (((2 + 2) * 2) + 1)))
A025856: 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1
((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 1)
A328865: 1 2 3 4 5 6 7 8 9 9 9 9 9 9 9 9
(loop(\(x,i).((x * 2) * (2 + 1)),x,((2 + 2) * 2)) + 1)
A199411: 9 49 289 1729 10369 62209 373249 2239489 13436929 80621569 483729409 2902376449 17414258689 104485552129 626913312769 3761479876609
(loop(\(x,i).((x * 2) * (2 + 1)),x,((2 + 2) * 2)) - 1)
A198845: 7 47 287 1727 10367 62207 373247 2239487 13436927 80621567 483729407 2902376447 17414258687 104485552127 626913312767 3761479876607
((x + 2) - loop(\(x,i).(i * 2),(x - ((2 + 2) * 2)),1))
A289642: 1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3
(loop(\(x,i).(((2 + 2) + 1) * x),x,((2 + 2) * 2)) + 1)
A199311: 9 41 201 1001 5001 25001 125001 625001 3125001 15625001 78125001 390625001 1953125001 9765625001 48828125001 244140625001
(loop(\(x,i).(((2 + 2) + 1) * x),x,((2 + 2) * 2)) - 1)
A198767: 7 39 199 999 4999 24999 124999 624999 3124999 15624999 78124999 390624999 1953124999 9765624999 48828124999 244140624999
(if (2 - x) <= 0 then ((((x div 2) + x) div (2 + 2)) + 2) else 1)
A087823: 1 1 2 3 3 3 4 4 5 5 5 6 6 6 7 7
(if ((x - ((2 + 2) * 2)) * (x - (2 + 2))) <= 0 then 2 else 1)
A345112-A016016: 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1
((x * x) div (if (x mod 2) <= 0 then ((x mod (2 + 2)) + 2) else 1))
A251091: 0 1 1 9 8 25 9 49 32 81 25 121 72 169 49 225
(if ((((x div (2 + 2)) + x) * x) mod (2 + 2)) <= 0 then 2 else 1)
A104248: 2 1 2 1 2 1 1 2 2 1 2 1 2 2 1 1
(((loop(\(x,i).(((2 + 1) * x) + 1),x,2) div 2) * 2) + 1)
A096019: 3 7 23 67 203 607 1823 5467 16403 49207 147623 442867 1328603 3985807 11957423 35872267
(((if x <= 0 then 1 else ((x - ((2 - x) div 2)) * 2)) * 2) - 1)
A092899: 1 3 7 15 19 27 31 39 43 51 55 63 67 75 79 87
((loop(\(x,i).(x * x),(x - ((2 - x) div 2)),2) + 2) + 1)
A274022: 5 7 19 65539
((loop(\(x,i).(x * x),(x - ((2 - x) div 2)),2) * 2) - 1)
A249761: 3 7 31 131071
(((x - ((2 - ((if x <= 0 then 2 else x) div 2)) div 2)) div 2) + 1)
A253671: 1 1 2 2 3 3 4 5 5 6 7 7 8 8 9 10
(((if x <= 0 then 1 else (((x mod 2) + (x * 2)) * 2)) * 2) + 1)
A339329: 3 13 17 29
loop(\(x,i).(x * x),(2 + 1),((((x * 2) * 2) * 2) + 1))
A017084: 1 43046721 6975757441 152587890625 1406408618241 7984925229121 33232930569601 111429157112001 318644812890625 806460091894081 1853020188851841 3936588805702081 7837433594376961 14774554437890625
loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) * 2) + 1))
A017079: 1 729 4913 15625 35937 68921 117649 185193 274625 389017 531441 704969 912673 1157625 1442897 1771561
loop(\(x,i).((x * x) * x),2,((((x * 2) * 2) * 2) + 1))
A017085: 1 387420489 118587876497 3814697265625 46411484401953 327381934393961 1628413597910449 6351461955384057 20711912837890625 58871586708267913 150094635296999121 350356403707485209
loop(\(x,i).(x * x),1,(x - ((((x * 2) * 2) * 2) + 1)))
A016994: 1 64 225 484 841 1296 1849 2500 3249 4096 5041 6084 7225 8464 9801 11236
loop(\(x,i).(x * x),2,(x - ((((x * 2) * 2) * 2) + 1)))
A016996: 1 4096 50625 234256 707281 1679616 3418801 6250000 10556001 16777216 25411681 37015056 52200625 71639296 96059601 126247696
(if (2 - x) <= 0 then ((((x div 2) * (x div 2)) div 2) + 2) else 1)
A018819-A008645-A008644-A008643: 1 1 2 2 4 4 6 6 10 10 14 14 20 20 26 26
(if (2 - (((x - 1) * 2) mod ((x div 2) + 2))) <= 0 then 2 else 1)
A110627: 1 1 2 1 2 1 1 2 2 2 2 2 2 1 2 1
loop(\(x,i).(x * 2),(x div 2),((((x mod 2) + 2) + 2) + 1))
A164095: 5 6 10 12 20 24 40 48 80 96 160 192 320 384 640 768
loop(\(x,i).(x * 2),(x div 2),((((x mod 2) + 2) * 2) + 1))
A070875: 5 7 10 14 20 28 40 56 80 112 160 224 320 448 640 896
((loop(\(x,i).(x * 2),x,1) - (((x mod 2) * 2) * 2)) + 1)
A269019: 2 ~1 5 5 17 29 65 125 257 509 1025 2045 4097 8189 16385 32765
(x - (((x * x) div loop(\(x,i).((x * x) + 2),2,2)) - 1))
A327707: 1 2 3 4 5 6 7 7 8 8 9 9 10 10 10 11
((x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2))) + 1)
A271950: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4
((if x <= 0 then 1 else (x * x)) mod (((x - 1) mod (2 + 2)) + 1))
A238897-A205808: 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0
((((x * x) div (if (x - 2) <= 0 then 1 else 2)) mod (2 + 2)) + 1)
A211005: 1 2 1 1 1 1 3 1 1 1 3 1 1 1 3 1
(loop(\(x,i).((x + 1) * (2 + 1)),(x * 2),(2 + 2)) + 1)
A198969: 5 49 445 4009 36085 324769 2922925 26306329 236756965 2130812689 19177314205 172595827849 1553362450645 13980262055809 125822358502285 1132401226520569
((if ((x div (2 + 2)) - 1) <= 0 then (x div 2) else (2 + 2)) + 1)
A282711: 1 1 2 2 3 3 4 4 5 5 5 5 5 5 5 5
(1 - (if (x mod (2 + 2)) <= 0 then ((x div 2) mod (2 + 2)) else 1))
A016033-A015985-A015777-A015681-A015505-A015297-A015153-A015073-A014961-A014737-A014625-A014289-A014017: 1 0 0 0 ~1 0 0 0 1 0 0 0 ~1 0 0 0
(((x * x) + (2 + 2)) div (if (x mod 2) <= 0 then (2 + 2) else 1))
A261327: 1 5 2 13 5 29 10 53 17 85 26 125 37 173 50 229
((((x + 2) + 2) * x) div (if (x mod 2) <= 0 then (2 + 2) else 1))
A171621: 0 5 3 21 8 45 15 77 24 117 35 165 48 221 63 285
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else ((2 + 2) + 1))
A281462: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5
((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * ((2 + 2) + 1))
A040870: 30 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
loop(\(x,i).(x * x),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017330: 25 225 625 1225 2025 3025 4225 5625 7225 9025 11025 13225 15625 18225 21025 24025
loop(\(x,i).(x * x),2,(((x * 2) + 1) * ((2 + 2) + 1)))
A017332: 625 50625 390625 1500625 4100625 9150625 17850625 31640625 52200625 81450625 121550625 174900625 244140625 332150625 442050625 577200625
((((if (x mod 2) <= 0 then 2 else 0) + x) + 1) div ((2 + 2) + 1))
A070098: 0 0 1 0 1 1 1 1 2 2 2 2 3 2 3 3
(loop(\(x,i).((x - i) * x),2,(x - 1)) div ((2 + 2) + 1))
A011915: 0 0 0 0 4 24 72 168 336 604 1008 1584 2376 3432 4804 6552
((if (x mod ((2 + 1) * 2)) <= 0 then 0 else 2) * ((2 + 2) + 1))
A131722: 0 10 10 10 10 10 0 10 10 10 10 10 0 10 10 10
((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1))
A040600: 25 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1))
A040091: 10 10 20 10 20 10 20 10 20 10 20 10 20 10 20 10
(loop(\(x,i).((x + 1) * 2),x,(2 + 2)) * ((2 + 2) + 1))
A182462: 20 50 110 230 470 950 1910 3830 7670 15350 30710 61430 122870 245750 491510 983030
(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) * ((2 + 2) + 1))
A116530: 20 60 180 540 1620 4860 14580 43740 131220 393660 1180980 3542940 10628820 31886460 95659380 286978140
(x - (((if (x - 2) <= 0 then 0 else x) - 2) div ((2 + 2) + 1)))
A214449: 1 2 3 3 4 5 6 6 7 8 9 10 10 11 12 13
(x - ((1 - ((if x <= 0 then 1 else x) * 2)) div ((2 + 2) + 1)))
A214857: 1 2 3 4 6 7 9 10 11 13 14 16 17 18 20 21
loop(\(x,i).(x * x),1,(x - ((x - 2) div ((2 + 2) + 1))))
A226096: 1 4 4 9 16 25 36 36 49 64 81 100 100 121 144 169
loop(\(x,i).(1 - ((x * 2) * 2)),(x * 2),((2 + 2) + 1))
A318236: 5 77 1229 19661 314573 5033165 80530637 1288490189 20615843021 329853488333 5277655813325 84442493013197 1351079888211149 21617278211378381 345876451382054093 4611686018427387903
(((if (x - 1) <= 0 then x else 2) + (x * 2)) * ((2 + 2) + 1))
A167210: 0 15 30 40
loop(\(x,i).((x * 2) * (2 + 1)),(x div 2),((2 + 2) + 1))
A117858: 5 5 30 30 180 180 1080 1080 6480 6480 38880 38880 233280 233280 1399680 1399680
loop(\(x,i).((((i + x) * 2) + x) + 1),x,((2 + 2) + 1))
A133648: 5 18 59 184 561 1694 5095 15300 45917 137770 413331 1240016 3720073 11160246 33480767 100442332
(loop(\(x,i).((x * 2) * 2),(x - 1),x) * ((2 + 2) + 1))
A269822: 0 5 40 240 1280 6400 30720 143360 655360 2949120 13107200 57671680 251658240 1090519040 4697620480 20132659200
(loop(\(x,i).((0 - x) * 2),(x - 1),x) mod ((2 + 2) + 1))
A082116: 0 1 1 2 3 0 3 3 1 4 0 4 4 3 2 0
(if x <= 0 then 1 else ((((x * x) + 1) * x) * ((2 + 2) + 1)))
A008531: 1 10 50 150 340 650 1110 1750 2600 3690 5050 6710 8700 11050 13790 16950
loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,((2 + 2) + 1))
A199312: 5 23 113 563 2813 14063 70313 351563 1757813 8789063 43945313 219726563 1098632813 5493164063 27465820313 137329101563
loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,((2 + 2) + 1))
A198771: 5 27 137 687 3437 17187 85937 429687 2148437 10742187 53710937 268554687 1342773437 6713867187 33569335937 167846679687
(((if (2 - x) <= 0 then 2 else 1) + x) + (x div ((2 + 2) + 1)))
A276216: 1 2 4 5 6 8 9 10 11 12 14 15 16 17 18 20
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((2 + 2) + 1))
A193577: 5 35 245 1715 12005 84035 588245 4117715 28824005 201768035 1412376245 9886633715 69206436005 484445052035 3391115364245 23737807549715
loop(\(x,i).((x div ((2 + 2) + 1)) + x),x,((2 + 2) + 1))
A182306: 5 6 7 8 9 10 12 14 16 19 22 26 31 37 44 52
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,((2 + 2) + 1))
A006269: 5 140 2744420 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,((2 + 2) + 1))
A219161: 5 110 1330670 2356194280407770990 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),x,((2 + 2) + 1))
A137841: 5 3125 298023223876953125 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,(2 + 2)) - 1)
A199106: 3 47 575 6911 82943 995327 11943935 143327231 1719926783 20639121407 247669456895 2972033482751 35664401793023 427972821516287 5135673858195455 61628086298345471
(((if ((x div 2) mod 2) <= 0 then x else (1 - x)) mod (2 + 2)) + 1)
A070402: 1 2 4 3 1 2 4 3 1 2 4 3 1 2 4 3
loop(\(x,i).((0 - x) * 2),(((x + 1) * x) div (2 + 2)),1)
A160637: 1 1 ~2 ~8 ~32 ~128 1024 16384 262144 4194304 ~134217728 ~8589934592 ~549755813888 ~35184372088832 4503599627370496 1152921504606846976
((((if (x - 2) <= 0 then x else (x + 1)) * x) * (2 + 2)) + 1)
A273384: 1 5 17 49 81 121 169 225 289 361 441 529 625 729 841 961
((loop(\(x,i).((x + 2) * 2),(x - 1),x) div (2 + 2)) + 1)
A045891: 1 1 3 7 16 36 80 176 384 832 1792 3840 8192 17408 36864 77824
((loop(\(x,i).((i * i) + x),(x - 1),x) * (2 + 2)) + 1)
A321124: 1 5 13 33 73 141 245 393 593 853 1181 1585 2073 2653 3333 4121
(loop(\(x,i).(((x * 2) - (i mod 2)) * 2),x,(2 + 2)) - 1)
A037583: 3 13 55 221 887 3549 14199 56797 227191 908765 3635063 14540253 58161015 232644061 930576247 3722304989
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 2)) + 1)
A199684: 5 41 401 4001 40001 400001 4000001 40000001 400000001 4000000001 40000000001 400000000001 4000000000001 40000000000001 400000000000001 4000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 2)) - 1)
A198970: 3 39 399 3999 39999 399999 3999999 39999999 399999999 3999999999 39999999999 399999999999 3999999999999 39999999999999 399999999999999 3999999999999999
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 2)) else 1)
A250261-A175010: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1
(2 - loop(\(x,i).(((1 - x) * x) - 1),(x div (2 + 2)),1))
A339971: 1 1 1 1 3 3 3 3 5 5 5 5 15 15 15 15
(x - ((x + 2) mod loop(\(x,i).(i * x),(x div (2 + 2)),1)))
A265541: 0 1 2 3 4 5 6 7 8 8 10 10 10 10 10 10
(if ((x - 1) mod ((2 + 2) + 1)) <= 0 then (x mod (2 + 2)) else 1)
A296240: 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1 1
(1 - (if (x mod ((2 + 1) * 2)) <= 0 then (x mod (2 + 2)) else 1))
A014189: 1 0 0 0 0 0 ~1 0 0 0 0 0 1 0 0 0
loop(\(x,i).(i * x),((x div (2 + 2)) - (x mod (2 + 2))),1)
A331562: 1 1 1 1 1 1 1 1 2 1 1 1 6 2 1 1
((if ((x div 2) - 2) <= 0 then 1 else 2) div ((x mod (2 + 2)) + 1))
A280586-A280125-A025872: 1 0 0 0 1 0 0 0 2 1 0 0 2 1 0 0
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 2)) + 1)
A199419: 5 29 197 1373 9605 67229 470597 3294173 23059205 161414429 1129900997 7909306973 55365148805 387556041629 2712892291397 18990246039773
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 2)) - 1)
A198686: 3 27 195 1371 9603 67227 470595 3294171 23059203 161414427 1129900995 7909306971 55365148803 387556041627 2712892291395 18990246039771
loop(\(x,i).((2 + 1) * x),((((2 + 1) * x) + 2) * 2),1)
A013745: 81 59049 43046721 31381059609 22876792454961 16677181699666569 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x * x) * x) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070505: 0 1 8 27 21 39 1 42 39 41 11 41 8 4 35 21
(((if ((x - 2) mod ((2 + 2) * 2)) <= 0 then x else 2) * 2) - 1)
A079083: 3 3 3 3 3 3 3 3 3 3 19 3 3 3 3 3
(if (x mod 2) <= 0 then ((((x div (2 + 2)) + x) div 2) mod 2) else 1)
A285596: 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1
((((if x <= 0 then 2 else ((x div (2 + 2)) * x)) div 2) + 2) + 1)
A281705: 4 3 3 3 5 5 6
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) + 2) + 1)
A173041: 5 23 203 2003 20003 200003 2000003 20000003 200000003 2000000003 20000000003 200000000003 2000000000003 20000000000003 200000000000003 2000000000000003
((((loop(\(x,i).((x * 2) + 1),x,2) + x) div 2) div 2) + 1)
A099155: 1 2 4 7 13 26 50 98
(((if (x - 2) <= 0 then x else (((x + 2) * x) * 2)) * 2) + 1)
A273254: 1 3 5 61
((if (x - 1) <= 0 then x else ((((x mod 2) * x) div 2) + 2)) + 1)
A323238-A323237-A319701: 1 2 3 4 3 5 3 6 3 7 3 8 3 9 3 10
((2 - ((2 - x) div (((if x <= 0 then 2 else x) div 2) + 2))) + 1)
A289189: 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5
(x - (((2 - x) div (((if x <= 0 then 2 else x) div 2) + 2)) - 1))
A183295: 1 2 3 5 6 7 8 9 10 12 13 14 15 16 17 18
(x - ((loop(\(x,i).(1 - (x * x)),2,(x + 2)) - 2) - 1))
A268458: 11 67 229 581 1231 2311 3977 6409 9811 14411 20461 28237 38039 50191 65041 82961
loop(\(x,i).((x - (2 + 2)) * 2),x,(((x * 2) * 2) + 1))
A048501: 1 2 12 48 152 424 1096 2696 6408 14856 33800 75784 167944 368648 802824 1736712
loop(\(x,i).(((i * 2) - 1) * x),x,(((x * 2) * 2) + 1))
A126119: 1 5 27 195 1785 19845 259875 3918915 66891825 1274998725 26843892075 618718975875 15495473018025 419010239773125 12167108660581875 377607284571391875
loop(\(x,i).((((i + 1) div 2) * i) * x),((x * 2) * 2),1)
A163494: 1 96 23224320 248314429440000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * (2 + 1)),x,(x * 2)) div 2) + 1)
A083877: 1 5 25 101 385 1397 4921 16949 57409 191909 634777 2081477 6775873 21921941 70548793 225995285
((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + 1)
A023193: 1 1 2 2 2 2 3 3 4 4 4 4 5 5 5 5
((if x <= 0 then 1 else ((((x + 2) * 2) + (x div 2)) * 2)) + 1)
A020585: 2 13 19 23
((if x <= 0 then 1 else ((((x * 2) * 2) - (x div 2)) * 2)) + 1)
A063094: 2 9 15 23 29 37 43 51 57 65 71 79 85 93 99 107
((if (x - ((2 + 2) * 2)) <= 0 then 1 else ((x div 2) - 2)) - 1)
A238701-A238134: 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then ((x div 2) - 2) else 1)
A340366-A322356-A119788: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1
(x mod (if ((x + 2) mod (2 + 2)) <= 0 then ((x div 2) - 2) else 1))
A046782: 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 0
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then ((x div 2) mod 2) else 1)
A187967-A185304: 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1
(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then ((x div 2) mod 2) else 1)
A209349-A203986-A166280-A071023: 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1
(if (((x div 2) * x) mod (2 + 1)) <= 0 then ((x div 2) mod 2) else 1)
A189078: 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1
(x - loop(\(x,i).(1 - x),x,(x - (((x div 2) mod 2) + 1))))
A266614: 1 0 2 3 1 8 2 11 1 16 2 19 1 24 2 27
(((((if (x mod 2) <= 0 then 2 else 0) + x) + (x div 2)) * 2) - 1)
A136320: 3 1 9 7 15 13 21 19 27 25 33 31 39 37 45 43
(loop(\(x,i).((x div ((i mod 2) + 2)) + x),(x div 2),2) - 1)
A119620: 1 1 1 1 2 2 3 3 5 5 7 7 11 11 15 15
((loop(\(x,i).(((i + 2) * i) + x),x,(x div 2)) div 2) + 1)
A014112: 1 2 7 14 27 44 69 100 141 190 251 322 407 504 617 744
(((loop(\(x,i).(x * 2),(x div 2),1) + (x mod 2)) * 2) - 1)
A086341: 1 3 3 5 7 9 15 17 31 33 63 65 127 129 255 257
(((loop(\(x,i).((x * 2) * 2),x,1) + (x mod 2)) * 2) - 1)
A140323: 1 9 31 129 511 2049 8191 32769 131071 524289 2097151 8388609 33554431 134217729 536870911 2147483649
(((((if x <= 0 then 1 else x) * (x + 1)) + (x mod 2)) * 2) - 1)
A296911: 1 5 11 25 39 61 83 113 143 181 219 265 311 365 419 481
(((loop(\(x,i).((2 + 1) * x),x,1) + (x mod 2)) * 2) - 1)
A081632: 1 7 17 55 161 487 1457 4375 13121 39367 118097 354295 1062881 3188647 9565937 28697815
(((loop(\(x,i).((2 + 1) * x),x,1) - (x mod 2)) * 2) + 1)
A174132: 3 5 19 53 163 485 1459 4373 13123 39365 118099 354293 1062883 3188645 9565939 28697813
(if ((x + 2) mod (((2 + 2) * 2) + (x mod 2))) <= 0 then 2 else 1)
A236000: 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1
loop(\(x,i).(x * 2),(x div 2),(((2 - (x mod 2)) + 2) + 1))
A163888: 5 4 10 8 20 16 40 32 80 64 160 128 320 256 640 512
((if x <= 0 then 1 else x) div ((x div ((2 - (x mod 2)) + 2)) + 1))
A323424: 1 1 2 1 2 2 3 2 2 2 3 2 3 2 3 2
((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) * 2) + 1)
A136252: 1 3 5 9 13 21 29 45 61 93 125 189 253 381 509 765
((loop(\(x,i).((x + 1) * x),x,1) * ((x mod 2) + 2)) + 1)
A221211: 3 7 13 127
loop(\(x,i).(x * 2),((x + 1) div 2),(((x mod 2) + 2) + 1))
A164654: 3 8 6 16 12 32 24 64 48 128 96 256 192 512 384 1024
(loop(\(x,i).(x * 2),(x + 2),2) div (((x mod 2) + 2) + 1))
A238720: 2 4 10 16 42 64 170 256 682 1024 2730 4096 10922 16384 43690 65536
((x * 2) mod (if (2 - x) <= 0 then (x div ((x mod 2) + 2)) else 1))
A262889: 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0
loop(\(x,i).(((x + 1) * x) * (2 + 1)),((x mod 2) * 2),1)
A110825: 1 126 1
((loop(\(x,i).((x * 2) * 2),x,1) + ((x mod 2) * 2)) - 1)
A247281: 0 5 15 65 255 1025 4095 16385 65535 262145 1048575 4194305 16777215 67108865 268435455 1073741825
((loop(\(x,i).((x * 2) * 2),x,1) - ((x mod 2) * 2)) + 1)
A201455: 2 3 17 63 257 1023 4097 16383 65537 262143 1048577 4194303 16777217 67108863 268435457 1073741823
((loop(\(x,i).((2 + 1) * x),x,1) - ((x mod 2) * 2)) + 1)
A102345: 2 2 10 26 82 242 730 2186 6562 19682 59050 177146 531442 1594322 4782970 14348906
((loop(\(x,i).((2 + 1) * x),x,1) - ((x mod 2) * 2)) - 1)
A141317: 0 0 8 24 80 240 728 2184 6560 19680 59048 177144 531440 1594320 4782968 14348904
((loop(\(x,i).(x * 2),x,2) - 1) div (((x mod 2) * 2) + 1))
A213243: 1 1 7 5 31 21 127 85 511 341 2047 1365 8191 5461 32767 21845
loop(\(x,i).(x * 2),((x + 1) div 2),(((x mod 2) * 2) + 1))
A163864: 1 6 2 12 4 24 8 48 16 96 32 192 64 384 128 768
((if x <= 0 then 1 else (x div (2 + 2))) div (((x mod 2) * 2) + 1))
A319973: 1 0 0 0 1 0 1 0 2 0 2 0 3 1 3 1
loop(\(x,i).(x * 2),((x div 2) + x),(((x mod 2) * 2) + 1))
A164640: 1 6 8 48 64 384 512 3072 4096 24576 32768 196608 262144 1572864 2097152 12582912
((2 - x) div (if (x - 1) <= 0 then 2 else (((x mod 2) * 2) - 1)))
A099570: 1 0 0 ~1 2 ~3 4 ~5 6 ~7 8 ~9 10 ~11 12 ~13
(((loop(\(x,i).(((x + 2) * 2) * 2),x,x) div 2) div 2) + 1)
A087449: 1 4 19 91 427 1963 8875 39595 174763 764587 3320491 14330539 61516459 262843051 1118481067 4742359723
(loop(\(x,i).((x * 2) * (x + 1)),((x * x) * 2),2) + 1)
A039954: 3 313 4611686018427387903
(loop(\(x,i).((i + x) * (2 + 2)),(x - 1),0) div (2 + 1))
A178744: 0 0 1 8 36 149 604 2424 9705 38832 155340 621373 2485508 9942048 39768209 159072856
(loop(\(x,i).(((x + 2) + 1) mod (i + 1)),x,0) div (2 + 1))
A218601-A066628: 0 0 0 0 1 0 1 2 0 1 2 3 4 0 1 2
((1 mod (2 - (if (x mod (2 + 2)) <= 0 then x else 0))) mod (2 + 1))
A176046-A172090: 1 1 1 1 2 1 1 1 1 1 1 1 0 1 1 1
((((2 - x) div 2) - (if (x - 2) <= 0 then x else 0)) mod (2 + 1))
A175862: 1 2 1 2 2 1 1 0 0 2 2 1 1 0 0 2
((((x - 1) mod (2 + 1)) + 1) * (if x <= 0 then 0 else (2 + 1)))
A180593: 0 3 6 9 3 6 9 3 6 9 3 6 9 3 6 9
(x - ((x - (if (x mod (2 + 2)) <= 0 then 0 else 1)) div (2 + 1)))
A189726: 0 1 2 3 3 4 5 5 6 7 7 8 8 9 10 11
(((((x + 2) + 2) * 2) - (if x <= 0 then 0 else 1)) * (2 + 1))
A308603: 24 27 33 39 45 51 57 63 69 75 81 87 93 99 105 111
((if x <= 0 then 0 else (((2 - x) mod (2 + 1)) + 1)) * (2 + 1))
A180596: 0 6 3 9 6 3 9 6 3 9 6 3 9 6 3 9
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + 1) div (2 + 1))
A132805: 0 3 21 171 1365 10923 87381 699051 5592405 44739243 357913941 2863311531 22906492245 183251937963 1466015503701 11728124029611
(loop(\(x,i).(((x * 2) * 2) + 1),(x + 1),1) div (2 + 1))
A037597: 1 7 28 113 455 1820 7281 29127 116508 466033 1864135 7456540 29826161 119304647 477218588 1908874353
(loop(\(x,i).(((x * 2) + 1) * 2),(x + 1),1) div (2 + 1))
A037618: 2 8 35 142 568 2275 9102 36408 145635 582542 2330168 9320675 37282702 149130808 596523235 2386092942
((loop(\(x,i).((i mod 2) - x),x,(2 + 2)) + 1) div (2 + 1))
A014119: 1 ~1 1 ~1 1 0 0 0 0 0 0 1 ~1 1 ~1 1
loop(\(x,i).(x * x),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017558: 9 225 729 1521 2601 3969 5625 7569 9801 12321 15129 18225 21609 25281 29241 33489
loop(\(x,i).(x * x),2,((((x * 2) * 2) + 1) * (2 + 1)))
A017560: 81 50625 531441 2313441 6765201 15752961 31640625 57289761 96059601 151807041 228886641 332150625 466948881 639128961 855036081 1121513121
(if x <= 0 then 1 else ((x - ((1 - x) div (2 + 1))) * (2 + 1)))
A136290: 1 3 9 12 15 21 24 27 33 36 39 45 48 51 57 60
((((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1)) * (2 + 1))
A021277: 0 0 3 6 6 3 0 0 3 6 6 3 0 0 3 6
((loop(\(x,i).(((x * 2) * 2) * 2),x,2) + 1) div (2 + 1))
A082311: 1 5 43 341 2731 21845 174763 1398101 11184811 89478485 715827883 5726623061 45812984491 366503875925 2932031007403 23456248059221
((loop(\(x,i).(x * 2),((x + 2) * x),2) + 1) div (2 + 1))
A231279: 1 5 171 21845 11184811 22906492245 187649984473771 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),((x div 2) + x),2) + 1) div (2 + 1))
A141355: 1 1 5 11 43 85 341 683 2731 5461 21845 43691 174763 349525 1398101 2796203
(loop(\(x,i).((x * x) + 1),2,((x * 2) + 1)) div (2 + 1))
A142993: 1 33 225 833 2241 4961 9633 17025 28033 43681 65121 93633 130625 177633 236321 308481
loop(\(x,i).(x * x),(2 + 1),(((x * 2) + 1) * (2 + 1)))
A016952: 6561 43046721 2562890625 37822859361 282429536481 1406408618241 5352009260481 16815125390625 45767944570401 111429157112001 248155780267521 513798374428641 1001129150390625 1853020188851841
loop(\(x,i).((x * x) * x),1,(((x * 2) + 1) * (2 + 1)))
A016947: 27 729 3375 9261 19683 35937 59319 91125 132651 185193 250047 328509 421875 531441 658503 804357
loop(\(x,i).((x * x) * x),2,(((x * 2) + 1) * (2 + 1)))
A016953: 19683 387420489 38443359375 794280046581 7625597484987 46411484401953 208728361158759 756680642578125 2334165173090451 6351461955384057 15633814156853823 35452087835576229 75084686279296875
loop(\(x,i).((x * 2) * 2),x,(((x * 2) + 1) * (2 + 1)))
A268898: 3 36 240 1344 6912 33792 159744 737280 3342336 14942208 66060288 289406976 1258291200 5435817984 23353884672 99857989632
loop(\(x,i).(x * x),1,(x - (((x * 2) + 1) * (2 + 1))))
A016886: 9 64 169 324 529 784 1089 1444 1849 2304 2809 3364 3969 4624 5329 6084
loop(\(x,i).(x * x),2,(x - (((x * 2) + 1) * (2 + 1))))
A016888: 81 4096 28561 104976 279841 614656 1185921 2085136 3418801 5308416 7890481 11316496 15752961 21381376 28398241 37015056
(loop(\(x,i).(1 - (x * 2)),x,((x * 2) + 1)) div (2 + 1))
A232600: 0 ~2 6 ~18 46 ~114 270 ~626 1422 ~3186 7054 ~15474 33678 ~72818 156558 ~334962
(x - ((0 - (if (2 - x) <= 0 then (x div 2) else 1)) div (2 + 1)))
A332109-A246786-A158037: 1 2 3 4 5 6 7 8 10 11 12 13 14 15 17 18
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) + 1) * (2 + 1))
A097804: 9 33 153 753 3753 18753 93753 468753 2343753 11718753 58593753 292968753 1464843753 7324218753 36621093753 183105468753
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) + 1) div (2 + 1))
A083217: 1 3 17 83 417 2083 10417 52083 260417 1302083 6510417 32552083 162760417 813802083 4069010417 20345052083
loop(\(x,i).(x * x),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017198: 9 144 441 900 1521 2304 3249 4356 5625 7056 8649 10404 12321 14400 16641 19044
loop(\(x,i).(x * x),2,((((2 + 1) * x) + 1) * (2 + 1)))
A017200: 81 20736 194481 810000 2313441 5308416 10556001 18974736 31640625 49787136 74805201 108243216 151807041 207360000 276922881 362673936
loop(\(x,i).(((x * x) - 1) * x),1,((x + 1) * (2 + 1)))
A097321: 24 210 720 1716 3360 5814 9240 13800 19656 26970 35904 46620 59280 74046 91080 110544
loop(\(x,i).(x div (2 - (x mod 2))),x,((x + 1) * (2 + 1)))
A166466: 3 3 9 3 15 9 21 3 27 15 33 9 39 21 45 3
((if x <= 0 then 1 else ((x * 2) * 2)) + ((x + 1) div (2 + 1)))
A312901: 1 4 9 13 17 22 26 30 35 39 43 48 52 56 61 65
(((if x <= 0 then 1 else x) + (x * 2)) + ((x + 1) div (2 + 1)))
A298786: 1 3 7 10 13 17 20 23 27 30 33 37 40 43 47 50
(loop(\(x,i).((x * 2) - (i mod 2)),x,(x + 1)) div (2 + 1))
A088110: 0 1 3 9
A045883: 0 1 3 9 23 57 135 313 711 1593 3527 7737 16839 36409 78279 167481
(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) * (2 + 1))
A060008: 0 0 0 0 9 45 135 315 630 1134 1890 2970 4455 6435 9009 12285
(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div (2 + 1))
A000332: 0 0 0 0 1 5 15 35 70 126 210 330 495 715 1001 1365
((if (x - 2) <= 0 then 1 else (x - 2)) + ((x - 1) div (2 + 1)))
A253570: 0 1 1 1 3 4 5 7 8 9
(loop(\(x,i).(((i * i) div (2 + 1)) + x),x,1) div (2 + 1))
A177100: 0 0 0 1 3 6 10 15 22 31 42 55 71 90 112 137
(x - ((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) * (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A081595-A028899: 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9
(((x + 2) div (if ((x div 2) - 2) <= 0 then 1 else 2)) div (2 + 1))
A328114-A246359: 0 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2
(if x <= 0 then 1 else ((((x * 2) * (2 + 1)) - 2) * (2 + 1)))
A019557: 1 12 30 48 66 84 102 120 138 156 174 192 210 228 246 264
loop(\(x,i).((x * 2) + 1),x,(((2 + 1) * 2) * (2 + 1)))
A198276: 18 37 75 151 303 607 1215 2431 4863 9727 19455 38911 77823 155647 311295 622591
((loop(\(x,i).((i * i) + x),(x + 2),1) div 2) div (2 + 1))
A014126: 1 2 5 9 15 23 34 47 64 84 108 136 169 206 249 297
loop(\(x,i).(x * x),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017594: 36 324 900 1764 2916 4356 6084 8100 10404 12996 15876 19044 22500 26244 30276 34596
loop(\(x,i).(x * x),2,((((x * 2) + 1) * 2) * (2 + 1)))
A017596: 1296 104976 810000 3111696 8503056 18974736 37015056 65610000 108243216 168896016 252047376 362673936 506250000 688747536 916636176 1196883216
(loop(\(x,i).(((x * 2) * 2) + 1),(x + 1),2) div (2 + 1))
A037646: 3 12 49 199 796 3185 12743 50972 203889 815559 3262236 13048945 52195783 208783132 835132529 3340530119
(loop(\(x,i).(((x * 2) + 1) * 2),(x + 1),2) div (2 + 1))
A037667: 3 14 56 227 910 3640 14563 58254 233016 932067 3728270 14913080 59652323 238609294 954437176 3817748707
loop(\(x,i).((x - 1) * x),1,(((x + 1) * 2) * (2 + 1)))
A291582: 30 132 306 552 870 1260 1722 2256 2862 3540 4290 5112 6006 6972 8010 9120
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),2) div (2 + 1))
A037584: 3 16 83 416 2083 10416 52083 260416 1302083 6510416 32552083 162760416 813802083 4069010416 20345052083 101725260416
(loop(\(x,i).((x - (i mod 2)) * 2),(x - 1),2) div (2 + 1))
A113405: 0 0 0 1 2 4 7 14 28 57 114 228 455 910 1820 3641
((((2 - (x mod 2)) * 2) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040133: 12 12 24 12 24 12 24 12 24 12 24 12 24 12 24 12
(((((x * x) - (if x <= 0 then 0 else 1)) div 2) div 2) div (2 + 1))
A340445-A230059: 0 0 0 0 1 2 2 4 5 6 8 10 11 14 16 18
((loop(\(x,i).((x div 2) + x),(x - 1),2) div 2) * (2 + 1))
A081848: 3 3 3 6 9 12 18 27 42 63 93 141 210 315 474 711
loop(\(x,i).(i - x),x,(2 - (((2 + 2) * 2) * (2 + 1))))
A152835: ~22 23 ~21 24 ~20 25 ~19 26 ~18 27 ~17 28 ~16 29 ~15 30
((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2) * (2 + 1))
A305065: 24 72 168 360 744 1512 3048 6120 12264 24552 49128 98280 196584 393192 786408 1572840
((loop(\(x,i).(x * 2),x,((x mod 2) + 2)) div 2) * (2 + 1))
A137344: 3 9 12 36 48 144 192 576 768 2304 3072 9216 12288 36864 49152 147456
loop(\(x,i).((x * 2) - 1),(x + 1),((2 + 2) * (2 + 1)))
A122041: 23 45 89 177 353 705 1409 2817 5633 11265 22529 45057 90113 180225 360449 720897
loop(\(x,i).(((x - 1) * x) + 1),x,((2 + 2) * (2 + 1)))
A144785: 12 133 17557 308230693 95006159799029557 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),x,((2 + 2) * (2 + 1)))
A204623: 12 96 768 6144 49152 393216 3145728 25165824 201326592 1610612736 12884901888 103079215104 824633720832 6597069766656 52776558133248 422212465065984
loop(\(x,i).(((2 + 1) * x) - 2),x,((2 + 2) * (2 + 1)))
A199114: 12 34 100 298 892 2674 8020 24058 72172 216514 649540 1948618 5845852 17537554 52612660 157837978
loop(\(x,i).(((2 + 2) + 1) * x),x,((2 + 2) * (2 + 1)))
A216491: 12 60 300 1500 7500 37500 187500 937500 4687500 23437500 117187500 585937500 2929687500 14648437500 73242187500 366210937500
(loop(\(x,i).(((x * 2) * 2) - 1),x,(2 + 2)) * (2 + 1))
A199211: 12 45 177 705 2817 11265 45057 180225 720897 2883585 11534337 46137345 184549377 738197505 2952790017 11811160065
(if x <= 0 then 1 else (((x - ((2 - x) div 2)) * 2) * (2 + 1)))
A298033: 1 6 12 24 30 42 48 60 66 78 84 96 102 114 120 132
(x - ((x - (((if x <= 0 then 2 else x) div 2) mod 2)) div (2 + 1)))
A284006: 1 1 2 3 3 4 5 5 6 6 7 8 8 9 10 11
((loop(\(x,i).((x - i) * x),2,(x + 2)) div 2) div (2 + 1))
A033488: 0 4 20 60 140 280 504 840 1320 1980 2860 4004 5460 7280 9520 12240
loop(\(x,i).(x * x),(2 + 1),(((x * 2) * 2) * (2 + 1)))
A017528: 0 429981696 110075314176 2821109907456 28179280429056 167961600000000 722204136308736 2478758911082496 7213895789838336 18509302102818816 42998169600000000 92170395205042176
loop(\(x,i).((x * x) * x),1,(((x * 2) * 2) * (2 + 1)))
A017523: 0 1728 13824 46656 110592 216000 373248 592704 884736 1259712 1728000 2299968 2985984 3796416 4741632 5832000
loop(\(x,i).((x * x) * x),2,(((x * 2) * 2) * (2 + 1)))
A017529: 0 5159780352 2641807540224 101559956668416 1352605460594688 10077696000000000 51998697814228992 208215748530929664 692533995824480256 1999004627104432128 4611686018427387903
loop(\(x,i).(x * x),2,(x - (((x * 2) * 2) * (2 + 1))))
A017392: 0 14641 234256 1185921 3748096 9150625 18974736 35153041 59969536 96059601 146410000 214358881 303595776 418161601 562448656 741200625
((loop(\(x,i).(((x + 2) * 2) + x),x,2) * 2) * (2 + 1))
A277106: 12 60 204 636 1932 5820 17484 52476 157452 472380 1417164 4251516 12754572 38263740 114791244 344373756
loop(\(x,i).(x * x),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017234: 36 225 576 1089 1764 2601 3600 4761 6084 7569 9216 11025 12996 15129 17424 19881
loop(\(x,i).(x * x),2,((((2 + 1) * x) + 2) * (2 + 1)))
A017236: 1296 50625 331776 1185921 3111696 6765201 12960000 22667121 37015056 57289761 84934656 121550625 168896016 228886641 303595776 395254161
(if x <= 0 then 1 else (((((x mod 2) + 1) * x) * 2) * (2 + 1)))
A298036: 1 12 12 36 24 60 36 84 48 108 60 132 72 156 84 180
(x - (((x mod 2) - ((if x <= 0 then 1 else x) * 2)) div (2 + 1)))
A174799: 1 2 4 5 7 8 10 12 14 15 17 18 20 22 24 25
(if x <= 0 then 1 else (((((x * x) + 1) * x) * 2) * (2 + 1)))
A008530: 1 12 60 180 408 780 1332 2100 3120 4428 6060 8052 10440 13260 16548 20340
(loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,2) * (2 + 1))
A146883: 6 36 186 936 4686 23436 117186 585936 2929686 14648436 73242186 366210936 1831054686 9155273436 45776367186 228881835936
(if (x - 2) <= 0 then x else ((((x div 2) + x) * 2) - (2 + 1)))
A192225: 0 1 2 5
A067568: 0 1 2 5 9 11 15
(if x <= 0 then 1 else ((((2 - (x mod 2)) * x) * 2) * (2 + 1)))
A298038: 1 6 24 18 48 30 72 42 96 54 120 66 144 78 168 90
(x - ((loop(\(x,i).((1 - x) * x),2,x) div 2) div (2 + 1)))
A006484: 0 1 3 10 30 75 161 308 540 885 1375 2046 2938 4095 5565 7400
((((if (2 - x) <= 0 then x else 0) + 2) * (x + 2)) div (2 + 1))
A229154: 1 2 5 8 12 16 21 27 33 40 48 56 65 75 85 96
(loop(\(x,i).((x - i) * (x + 2)),2,(x + 2)) * (2 + 1))
A014136: 36 288
(((if (x mod (2 + 2)) <= 0 then 0 else 1) + (x * 2)) div (2 + 1))
A274616: 0 1 1 2 2 3 4 5 5 6 7 7 8 9 9 10
(((if (x mod (2 + 1)) <= 0 then 1 else 2) + (x * 2)) * (2 + 1))
A234904: 3 12 18 21 30 36 39 48 54 57 66 72 75 84 90 93
(loop(\(x,i).((i + x) * (x + 1)),2,(x * 2)) - (2 + 1))
A094200: 3 107 699 2547 6803 15003 29067 51299 84387 131403 195803 281427 392499 533627 709803 926403
((if ((x div 2) - 2) <= 0 then (x + 2) else (x div 2)) div (2 + 1))
A341356-A276153-A099564-A099563: 0 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2
(loop(\(x,i).((x + 1) * 2),x,1) + ((x mod 2) * (2 + 1)))
A280173: 1 7 10 25 46 97 190 385 766 1537 3070 6145 12286 24577 49150 98305
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * (2 + 1))
A216517: 6 42 294 2058
(2 - (if x <= 0 then 1 else ((((1 - x) * x) div 2) * (2 + 1))))
A139482: 1 2 5 11 20 32 47 65 86 110 137 167 200 236 275 317
((loop(\(x,i).(((2 + 1) * x) - 1),x,x) div 2) * (2 + 1))
A289399: 0 3 21 102 426 1641 6015 21324 73812 250959 841449 2790066 9167358 29893557 96855123 312088728
((loop(\(x,i).(((x * 2) * 2) * 2),x,x) div 2) * (2 + 1))
A230539: 0 12 192 2304 24576 245760 2359296 22020096 201326592 1811939328 16106127360 141733920768 1236950581248 10720238370816 92358976733184 791648371998720
((x + 2) - ((1 - (if (2 - x) <= 0 then x else 2)) div (2 + 1)))
A113777: 3 4 5 6 7 9 10 11 13 14 15 17 18 19 21 22
(x - (((x mod 2) - (if (2 - x) <= 0 then x else 2)) div (2 + 1)))
A188010: 1 2 3 4 6 7 8 9 11 12 14 15 16 17 19 20
(((if ((x div (2 + 2)) - 2) <= 0 then 2 else 0) + x) div (2 + 1))
A046155: 0 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5
loop(\(x,i).((((x + 1) * x) * (2 + 1)) + 1),x,(2 + 1))
A172029: 3 37 4219 53412541 8558698768467667 4611686018427387903 4611686018427387903
((loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x) * (2 + 1))
A194423: 3 6 9 12 15 18 21 24 27 30 33 36 42 45 48 54
((loop(\(x,i).i,(((x div 2) - 1) div 2),1) + x) + (2 + 1))
A063713: 4 5 6 7 8 9 10 11 12 13 15 16 17 18 20 21
loop(\(x,i).((2 + 1) * x),(((2 + 2) + 1) * x),(2 + 1))
A013826: 3 729 177147 43046721 10460353203 2541865828329 617673396283947 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (if (x - ((2 + 2) * (2 + 1))) <= 0 then x else (2 + 1)))
A048024: 0 0 0 0 0 0 0 0 0 0 0 0 0 10 11 12
loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),x,(2 + 1))
A199421: 3 18 123 858 6003 42018 294123 2058858 14412003 100884018 706188123 4943316858 34603218003 242222526018 1695557682123 11868903774858
loop(\(x,i).(x - (2 - ((x * 2) * (2 + 1)))),x,(2 + 1))
A199484: 3 19 131 915 6403 44819 313731 2196115 15372803 107609619 753267331 5272871315 36910099203 258370694419 1808594860931 12660164026515
loop(\(x,i).(((x * 2) * 2) + 1),((2 + 1) * x),(2 + 1))
A072196: 3 213 13653 873813 55924053 3579139413 229064922453 14660155037013 938249922368853 60047995031606613 3843071682022823253 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(((2 + 1) * x) * (2 + 1)))
A017168: 0 43046721 11019960576 282429536481 2821109907456 16815125390625 72301961339136 248155780267521 722204136308736 1853020188851841 4304672100000000 9227446944279201 18509302102818816 35114532758015841
loop(\(x,i).((x - 1) * x),1,(((2 + 1) * x) * (2 + 1)))
A277991: 0 72 306 702 1260 1980 2862 3906 5112 6480 8010 9702 11556 13572 15750 18090
loop(\(x,i).((x * x) * x),1,(((2 + 1) * x) * (2 + 1)))
A017163: 0 729 5832 19683 46656 91125 157464 250047 373248 531441 729000 970299 1259712 1601613 2000376 2460375
loop(\(x,i).((x * x) * x),2,(((2 + 1) * x) * (2 + 1)))
A017169: 0 387420489 198359290368 7625597484987 101559956668416 756680642578125 3904305912313344 15633814156853823 51998697814228992 150094635296999121 387420489000000000 913517247483640899
loop(\(x,i).(x * 2),(x div (2 + 1)),((1 - x) mod (2 + 1)))
A168090: 1 0 2 2 0 4 4 0 8 8 0 16 16 0 32 32
(x - ((if (x mod (2 + 1)) <= 0 then x else (1 - x)) div (2 + 1)))
A006369: 0 1 3 2 5 7 4 9 11 6 13 15 8 17 19 10
(1 - (((if (x - (2 + 1)) <= 0 then x else 1) + x) mod (2 + 1)))
A010890: 1 ~1 0 1 ~1 1 0 ~1 1
loop(\(x,i).(x * x),1,((((x * x) - 1) * x) div (2 + 1)))
A169801: 0 0 4 64 400 1600 4900 12544 28224 57600 108900 193600 327184 529984 828100 1254400
(x - (if ((x div 2) - ((2 + 1) * 2)) <= 0 then x else (2 + 1)))
A048035: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 12
(((((2 + 2) * 2) * (if x <= 0 then 1 else 2)) + x) + (2 + 1))
A102815: 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
((x * 2) - (if ((x mod (2 + 2)) - 2) <= 0 then x else (2 + 1)))
A222258: 0 1 2 3 4 5 6 11 8 9 10 19 12 13 14 27
(loop(\(x,i).((((x + 1) * x) div 2) + 2),2,x) div (2 + 1))
A027927: 1 2 5 12 26 51 92 155 247 376 551 782 1080 1457 1926 2501
((loop(\(x,i).(((x * x) * x) + 2),2,2) + x) - (2 + 1))
A317594: 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014
(((if ((x div 2) - 2) <= 0 then 1 else (2 + 2)) * x) + (2 + 1))
A154660: 3 4 5 6 7 8
A082464: 3 4 5 6 7 8 27
loop(\(x,i).((((x * 2) div (i + 1)) + x) * 2),x,(2 + 1))
A052482: 3 12 40 120 336 896 2304 5760 14080 33792 79872 186368 430080 983040 2228224 5013504
loop(\(x,i).(x - ((((x div 2) mod 2) - x) div 2)),x,(2 + 1))
A147790: 3 4 6 9 14 21 32 48 72 108 162 243 364 546 819 1228
loop(\(x,i).(((((i + 2) * i) div 2) + x) + 2),x,(2 + 1))
A203292: 3 6 12 21 35 54 80 113 155 206 268 341 427 526 640 769
(if (x - 2) <= 0 then ((x + 1) * (2 + 1)) else (x div (2 + 1)))
A094560: 3 6 9 1 1 1 2 2 2 3 3 3 4 4 4 5
(((2 + 1) * x) mod (if (x - 2) <= 0 then 1 else (x div (2 + 1))))
A269162: 0 0 0 0 0 0 0 1 0 0 0 0 0 3 2 0
(loop(\(x,i).(((x * x) * x) + 1),x,1) - (x div (2 + 1)))
A249903: 1 2 9 729
loop(\(x,i).(x * 2),(x - 1),((x * 2) - (x mod (2 + 1))))
A128205: 0 1 4 24 56 128 384 832 1792 4608 9728 20480 49152 102400 212992 491520
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) + x),x,(2 + 1))
A102040: 3 6 12 14 18 26 32 34 38 46 52 54 58 66 72 74
((((if (x - (2 + 2)) <= 0 then 1 else 2) - x) * x) mod (2 + 1))
A286044-A129272: 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0
loop(\(x,i).((((x div (2 + 1)) * 2) * 2) + x),x,(2 + 1))
A338852: 3 7 15 35 79 183 427 995 2319 5411 12623 29451 68719 160343 374131 872971
(x - ((loop(\(x,i).i,(x div (2 + 2)),x) - x) * (2 + 1)))
A048704: 0 1 2 3 13 17 21 25 26 30 34 38 39 43 47 51
(if x <= 0 then 1 else ((((x + 2) + 2) * (x * x)) + (2 + 1)))
A084825: 1 8 27 66
((if (x mod (2 + 2)) <= 0 then 1 else 0) + ((x * x) * (2 + 1)))
A058034: 1 3 12 27 49 75 108 147 193 243 300 363 433 507 588 675
(if (x div (2 + 2)) <= 0 then (x + 1) else ((x * x) div (2 + 1)))
A254328: 1 2 3 4 5 8 12 16
((if (x mod (2 + 1)) <= 0 then 1 else ((x * x) * x)) + (2 + 1))
A161433: 4 4 11 4
(x - ((((if ((2 - x) + 2) <= 0 then 1 else 0) - x) div 2) - 1))
A225647: 1 3 4 6 7
A083922: 1 3 4 6 7 8 10 11 13 14 16 17 19 20 22 23
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else x) div 2) + 1)
A322473: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8
loop(\(x,i).((x * 2) * 2),((((2 + 2) + 1) * x) + 2),1)
A013831: 16 16384 16777216 17179869184 17592186044416 18014398509481984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013827: 9 2187 531441 129140163 31381059609 7625597484987 1853020188851841 450283905890997363 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,((((2 + 2) + 1) * x) * 2)) + 1)
A323178: 1 101 401 901 1601 2501 3601 4901 6401 8101 10001 12101 14401 16901 19601 22501
loop(\(x,i).(x * x),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017282: 1 121 441 961 1681 2601 3721 5041 6561 8281 10201 12321 14641 17161 19881 22801
loop(\(x,i).(x * x),2,(((((2 + 2) + 1) * x) * 2) + 1))
A017284: 1 14641 194481 923521 2825761 6765201 13845841 25411681 43046721 68574961 104060401 151807041 214358881 294499921 395254161 519885601
(loop(\(x,i).(x * x),((x div ((2 + 2) + 1)) + x),2) + 1)
A164307-A019434: 3 5 17 257 65537
A123599-A100270: 3 5 17 257 65537 4611686018427387903
(((loop(\(x,i).((x * x) + 1),2,(2 + 1)) - x) * 2) - 1)
A107843: 201 199 197 195 193 191 189 187 185 183 181 179 177 175 173 171
loop(\(x,i).((x * 2) * (2 + 1)),(((2 + 1) * x) + 2),1)
A013739: 36 7776 1679616 362797056 78364164096 16926659444736 3656158440062976 789730223053602816 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),(((2 + 1) * x) + 2),1)
A013743: 64 32768 16777216 8589934592 4398046511104 2251799813685248 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(((2 + 1) * x) + 2),1)
A013737: 25 3125 390625 48828125 6103515625 762939453125 95367431640625 11920928955078125 1490116119384765625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div 2) + x),x,(((2 + 1) * x) + 2)) - 1)
A083045: 1 6 17 35 68 122 224 383 656 1092 1841 2978 4859 7835 12776 20291
((loop(\(x,i).((x - 2) * 2),x,((2 + 1) * x)) div 2) + 1)
A048496: 1 2 7 23 67 179 451 1091 2563 5891 13315 29699 65539 143363 311299 671747
(2 - (if (2 - x) <= 0 then (((x div (2 + 1)) * x) mod 2) else 1))
A051034-A024935: 1 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1
loop(\(x,i).(x * 2),((((x * x) * (2 + 1)) - x) div 2),1)
A166077: 1 2 32 4096 4194304 34359738368 2251799813685248 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((i mod 2) * i) + x) * (2 + 1)),x,2) + 1)
A262251: 3 10 28 91
loop(\(x,i).(i * x),x,(((((x * 2) + 1) * x) * 2) + 1))
A082035: 1 7 42 258 1752 13320 113040 1063440 11007360 124467840 1527724800 20237817600 287879961600 4377595622400 70875950745600 1217444836608000
((((((if (x - 2) <= 0 then x else 1) + x) + 1) * x) div 2) + 1)
A087327: 1 2 6 8 13 18 25 32 41 50 61 72 85 98 113 128
((loop(\(x,i).(((2 + 1) * x) + 1),(x + 1),x) div 2) + 1)
A014915: 1 7 34 142 547 2005 7108 24604 83653 280483 930022 3055786 9964519 32285041 104029576 333612088
(loop(\(x,i).(((i + x) * (2 + 2)) div (x + 1)),x,2) + 1)
A205560: 3 5 5 6 7 7 7 8 8 9 9 9 9 10 10 10
loop(\(x,i).(x * 2),(x - 1),((((x + 1) * x) div 2) + 1))
A087431: 1 2 8 28 88 256 704 1856 4736 11776 28672 68608 161792 376832 868352 1982464
((loop(\(x,i).(((2 + 1) * x) - 2),(x - 1),x) * 2) + 1)
A180741: 1 3 9 39 165
loop(\(x,i).(((x * 2) * 2) * 2),(((x - 1) * x) div 2),1)
A109966: 1 1 8 512 262144 1073741824 35184372088832 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(x - 1),((((x - 1) * x) div 2) + 1))
A121635: 1 1 2 8 42 264 1920 15840 146160 1491840 16692480 203212800 2674425600 37841126400 572885913600 9240898867200
loop(\(x,i).(((2 + 2) + 1) * x),(((x - 1) * x) div 2),1)
A109345: 1 1 5 125 15625 9765625 30517578125 476837158203125 4611686018427387903 4611686018427387903 4611686018427387903
((((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x) * 2) + 1)
A288452: 3 5 7 9 11 13 15 17 19 23 25 27 29 31 33 35
(loop(\(x,i).((x * 2) - ((i mod (2 + 1)) mod 2)),x,2) - 1)
A292528: 1 2 5 11 22
A033120: 1 2 5 11 22 45 91 182 365 731 1462 2925 5851 11702 23405 46811
((loop(\(x,i).(((2 + 2) * 2) div (x + 1)),2,x) * 2) + 1)
A090792: 1 3 5 5 9 9 9 9 17 17 17 17 17 17 17 17
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - 1)
A030662: 1 5 19 69 251 923 3431 12869 48619 184755 705431 2704155 10400599 40116599 155117519 601080389
(if (((((x + 2) mod (2 + 2)) + 2) * 2) - x) <= 0 then 2 else 1)
A282625: 1 1 1 1 1 1 2 2 2 1 2 2 2 2 2 2
(((loop(\(x,i).((i + x) * (x + 2)),2,2) * x) * 2) + 1)
A158002: 1 393 785 1177 1569 1961 2353 2745 3137 3529 3921 4313 4705 5097 5489 5881
(loop(\(x,i).(((x * x) div 2) + ((x div 2) + 2)),x,2) - 1)
A037447: 1 4 15 137
(loop(\(x,i).((((x * x) * 2) + (i mod 2)) * 2),x,2) - 1)
A268067: 1 17 1295
((((x * x) * (2 + 1)) + 1) * (if (2 - x) <= 0 then 2 else 1))
A273981: 1 4 26 56 98 152 218 296 386 488 602 728 866 1016 1178 1352
((((((if (x mod 2) <= 0 then 2 else 0) + x) * 2) + x) * 2) - 1)
A166639: 7 5 19 17 31 29 43 41 55 53 67 65 79 77 91 89
(loop(\(x,i).(((((x * x) * 2) - 1) * x) + 2),x,2) - 1)
A074488: 1 15 8177 1093884103327 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x div ((i + 2) + 2)) + x) + 2),x,2) - 1)
A130257: 1 3 5 7 10 13 16 19 22 25 28 31 35 39 43 47
((loop(\(x,i).(((i + 1) * i) + x),(x * 2),x) * 2) + 1)
A063496: 1 19 85 231 489 891 1469 2255 3281 4579 6181 8119 10425 13131 16269 19871
(if (x - 1) <= 0 then (x + 2) else ((((x div 2) + x) * 2) - 1))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A192489-A038179: 2 3 5 7 11 13 17 19 23 25 29 31 35 37 41 43
loop(\(x,i).(x * 2),((x div 2) - (((x div 2) * x) mod 2)),1)
A300622: 1 1 2 1 4 4 8 4 16 16 32 16 64 64 128 64
(((1 - loop(\(x,i).((x - 2) * 2),x,0)) * (x + 2)) + 1)
A190730: 3 16 53 146 367 876 2025 4582 10211 22496 49117 106458 229335 491476 1048529 2228174
(loop(\(x,i).(x * x),x,(((x * x) + 1) * (x + 2))) + 1)
A176245: 3 37 160001
(if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then (x + 2) else 1)
A337335: 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1
(((((x * x) + 1) * (if x <= 0 then 1 else 2)) div (x + 2)) + 1)
A080276: 1 2 3 5 6 8 10 12 14 15 17 19 21 23 25 27
loop(\(x,i).(x + 1),((x - ((2 + 2) * 2)) * (x + 2)),1)
A250666: 1 1 1 1 1 1 1 1 1 12 25 40 57 76 97 120
(((if (x - 2) <= 0 then 2 else ((x * x) div 2)) * (x + 2)) - 1)
A154526: 3 5 7 19 47
(loop(\(x,i).((i + x) + (x + 2)),x,0) * ((x + 2) + 1))
A342482: 0 12 50 150 392 952 2214 5010 11132 24420 53066 114478 245520 524016 1113806 2358954
((loop(\(x,i).((i + x) + x),x,2) - 1) * ((x + 2) + 1))
A027540: 3 16 55 156 399 960 2223 5020 11143 24432 53079 114492 245535 524032 1113823 2358972
loop(\(x,i).(((i * x) * (x - 1)) div 2),2,((x + 2) + 1))
A107394: 6 30 90 210 420 756 1260 1980 2970 4290
(((if x <= 0 then ((2 + 2) * 2) else 2) * 2) * ((x + 2) + 1))
A124354: 48 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72
(if (x - ((2 + 2) * (2 + 1))) <= 0 then x else ((x + 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A004841: 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18
(if (x - 2) <= 0 then 1 else (((x - 1) * x) div ((x + 2) + 1)))
A053758: 1 1 1 1 1 2 3 4 5 6 6 7 8 9 10 11
(if (x - (((2 + 2) + 1) * 2)) <= 0 then x else ((x + 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A050726: 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18
(if ((x div 2) - ((2 + 1) * 2)) <= 0 then x else ((x + 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A106039: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2)) + 1)
A341750-A331026-A258264-A246096-A098312: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then x else (x + 2)) + 1)
A302140-A166535-A039698: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18
loop(\(x,i).(((((x * 2) + 1) * i) * 2) + x),(x + 2),1)
A212557: 67 877
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then (x - 2) else 1)
A059592: 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1
loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 2),1)
A210736: 1 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432
(1 - (if ((x - 1) mod ((2 + 2) * 2)) <= 0 then (x - 2) else 1))
A002483: 0 2 0 0 0 0 0 0 0 ~6 0 0 0 0 0 0
(((x div 2) + 2) mod (if (x mod (2 + 2)) <= 0 then (x - 2) else 1))
A334709-A272625: 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0
loop(\(x,i).(((((x + 2) * x) * 2) + 1) * x),(x - 2),1)
A330295: 1 1 1 7 889
loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),(x * 2),1)
A120694: 1 25 1201 58825 2882401 141237625 6920643601 339111536425 16616465284801 814206798955225 39896133148806001 1954910524291494025 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1)
A100706: 1 111 11111 1111111 111111111 11111111111 1111111111111 111111111111111 11111111111111111 1111111111111111111 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 1) * x) * ((i * 2) + 1)),(x * 2),1)
A052277: 1 90 113400 681080400 12504636144000 548828480360160000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x - i) * x),2,(x - 1)) + (x * 2)) + 1)
A137864: 1 3 5 7 33 131 373 855 1697 3043 5061 7943 11905 17187 24053 32791
loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),1)
A131970: 1 122 12222 1222222 122222222 12222222222 1222222222222 122222222222222 12222222222222222 1222222222222222222 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * i) * x) div ((0 - 2) - 2)),(x * 2),1)
A171105: 1 1 12 675
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),(x * 2),1)
A140300: 1 1024 1048576 1073741824 1099511627776 1125899906842624 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - (((x mod 2) - x) * 2)) * 2),(x * 2),1)
A067429: 1 12 432 15552 559872 20155392 725594112 26121388032 940369969152 33853318889472 1218719480020992 43873901280755712 1579460446107205632 4611686018427387903 4611686018427387903 4611686018427387903
(((if ((2 - x) + 2) <= 0 then (x - 2) else 2) + (x * 2)) - 1)
A080751: 1 3 5 7 9 12 15 18 21 24 27 30 33 36 39 42
loop(\(x,i).(1 - ((((2 + 2) + 1) * x) * 2)),(x * 2),1)
A095372: 1 91 9091 909091 90909091 9090909091 909090909091 90909090909091 9090909090909091 909090909090909091 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i div 2) * 2) + 1) * x) * 2),(x * 2),1)
A000909: 1 12 720 100800 25401600 10059033600 5753767219200 4487938430976000 4577697199595520000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((i + x) * 2) + 1) * x),2,(x * 2)) + 1)
A102997: 1 463
(((((2 + 2) div (if x <= 0 then 1 else x)) mod 2) + (x * 2)) + 1)
A097911: 1 3 5 8
A192881: 1 3 5 8 10 11 13 15 17 19
loop(\(x,i).(1 - ((((i div 2) mod 2) + x) * 2)),(x * 2),1)
A102900: 1 1 7 25 103 409 1639 6553 26215 104857 419431 1677721 6710887 26843545 107374183 429496729
(loop(\(x,i).((i * i) + x),(x + 1),0) * ((x * 2) + 1))
A053134: 1 15 70 210 495 1001 1820 3060 4845 7315 10626 14950 20475 27405 35960 46376
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) div ((x * 2) + 1))
A191632: 3 3 5 11 27 66 168 437 1157 3107 8435 23106 63772 177147 494789 1388603
loop(\(x,i).((2 + 1) * x),((x * 2) + 1),((x * 2) + 1))
A060851: 3 81 1215 15309 177147 1948617 20726199 215233605 2195382771 22082967873 219667417263 2165293113021 21182215236075 205891132094649 1990280943581607 19147875284802357
((if (x - 2) <= 0 then 1 else ((x * x) - 1)) * ((x * 2) + 1))
A086340: 1 3 5 56
loop(\(x,i).(((x * x) * x) * (x * x)),1,((x * 2) + 1))
A016757: 1 243 3125 16807 59049 161051 371293 759375 1419857 2476099 4084101 6436343 9765625 14348907 20511149 28629151
(loop(\(x,i).((x + 2) * (x + 1)),2,2) * ((x * 2) + 1))
A272361: 182 546 910 1274 1638 2002 2366 2730 3094 3458 3822 4186 4550 4914 5278 5642
(((if x <= 0 then 1 else ((x * 2) * 2)) * 2) * ((x * 2) + 1))
A068379: 2 24 80 168 288 440 624 840 1088 1368 1680 2024 2400 2808 3248 3720
loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),((x * 2) + 1))
A232099: 840 2520 4200 5880 7560 9240 10920 12600 14280 15960 17640 19320 21000 22680 24360 26040
(loop(\(x,i).(((x * 2) + 1) * x),2,2) * ((x * 2) + 1))
A236432-A235921: 210 630 1050 1470 1890 2310 2730 3150 3570 3990 4410 4830 5250 5670 6090 6510
(if ((2 - x) + 2) <= 0 then ((x mod 2) * 2) else ((x * 2) + 1))
A173013: 1 3 5 7 0 2 0 2 0 2 0 2 0 2 0 2
loop(\(x,i).(((2 + 2) + 1) * x),(x * 2),((x * 2) + 1))
A166725: 1 75 3125 109375 3515625 107421875 3173828125 91552734375 2593994140625 72479248046875 2002716064453125 54836273193359375 1490116119384765625 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),x,1) + x) + ((x * 2) + 1))
A176805: 2 7 16 37 94 259 748 2209 6586 19711 59080 177181 531478 1594363 4783012 14348953
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((x * 2) + 1))
A199300: 1 21 245 2401 21609 184877 1529437 12353145 98001617 766718533 5931980229 45478515089 346032180025 2616003280989 19668469112621 147174406808233
(loop(\(x,i).((i * i) + x),x,(x * x)) * ((x * 2) + 1))
A302709: 0 6 45 161 414 880 1651 2835 4556 6954 10185 14421 19850 26676 35119 45415
((((if x <= 0 then 0 else 2) * 2) * (x + 1)) * ((x * 2) - 1))
A187287: 0 8 36 80 140 216 308 416 540 680 836 1008 1196 1400 1620 1856
((((x mod 2) + 1) * (if x <= 0 then 0 else 2)) * ((x * 2) - 1))
A123169: 0 4 6 20 14 36 22 52 30 68 38 84 46 100 54 116
(if x <= 0 then 1 else ((((x * 2) - 1) * 2) * ((x * 2) - 1)))
A077591: 1 2 18 50 98 162 242 338 450 578 722 882 1058 1250 1458 1682
(if x <= 0 then 1 else (((2 mod (x + 1)) + 2) * ((x * 2) - 1)))
A136725: 1 2 12 20 28 36 44 52 60 68 76 84 92 100
(if x <= 0 then 1 else ((((x * 2) * 2) * 2) * ((x * 2) - 1)))
A067239: 1 8 48 120 224 360 528 728 960 1224 1520 1848 2208 2600 3024 3480
((loop(\(x,i).((x * 2) * 2),x,1) - x) - ((x * 2) - 1))
A175976: 2 2 11 56 245 1010 4079 16364 65513 262118 1048547 4194272 16777181 67108826 268435415 1073741780
((loop(\(x,i).(x * 2),(x - 1),2) + x) + ((x * 2) - 1))
A132074: 1 4 9 16 27 46 81 148 279 538 1053 2080 4131 8230 16425 32812
loop(\(x,i).(((((i mod 2) + 2) * 2) + 1) * x),(x * 2),1)
A009979: 1 35 1225 42875 1500625 52521875 1838265625 64339296875 2251875390625 78815638671875 2758547353515625 96549157373046875 3379220508056640625 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + x) * 2) div (2 + 1)),x,(x * 2)) + 1)
A214585: 1 3 4 5 7 8 9 11 13 15 17 19 21 23 25 27
loop(\(x,i).(((((x + 2) + 2) * 2) * 2) - x),(x * 2),1)
A177095: 1 73 721 6553 59041 531433 4782961 43046713 387420481 3486784393 31381059601 282429536473 2541865828321 22876792454953 205891132094641 1853020188851833
(((loop(\(x,i).((x * x) + 2),2,2) * x) * (x * 2)) + 1)
A158767: 1 77 305 685 1217 1901 2737 3725 4865 6157 7601 9197 10945 12845 14897 17101
(if (x - 2) <= 0 then (x * 2) else (((x * x) * (x * 2)) + 1))
A121234: 0 2 4 55
loop(\(x,i).(((i + x) - (x div (2 + 2))) + 1),(x div 2),1)
A290966: 1 1 3 3 6 6 9 9 12 12 15 15 19 19 23 23
(if ((x - 2) mod ((2 + 2) * (2 + 1))) <= 0 then (x div 2) else 1)
A101027: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x div 2),1)
A289404: 1 1 11 11 111 111 1111 1111 11111 11111 111111 111111 1111111 1111111 11111111 11111111
(if (((x mod ((x mod 2) + 2)) * x) - 1) <= 0 then (x div 2) else 1)
A175126: 0 0 1 1 2 1 3 1 4 4 5 1 6 1 7 7
(if ((x - 2) mod (((2 + 2) + 1) * 2)) <= 0 then (x div 2) else 1)
A260340: 1 1 1 1 1 1 1 1 1 1 1 1 6 1 1 1
(loop(\(x,i).(x - (x div ((i * 2) + 1))),2,(x div 2)) + 1)
A196383: 1 1 2 2 3 3 3 3 4 4 5 5 5 5 5 5
((if (x mod (2 + 2)) <= 0 then (x - 2) else 1) mod ((x div 2) + 1))
A205617: 0 0 1 1 2 1 1 1 1 1 1 1 3 1 1 1
(loop(\(x,i).((i + 1) * x),x,(x + 1)) div ((x div 2) + 1))
A256880: 1 4 9 48 200 1440 8820 80640 653184 7257600 73180800 958003200 11564467200 174356582400 2451889440000 41845579776000
(if x <= 0 then 1 else (x - ((x div (0 - 2)) * ((x div 2) + 1))))
A184674: 1 2 4 7 10 14 18 23 28 34 40 47 54 62 70 79
((if x <= 0 then 0 else (((x div 2) + 1) * 2)) * ((x div 2) + 1))
A116471: 0 2 8 8 18 18 32 32 50 50 72 72 98 98 128 128
loop(\(x,i).(i * x),x,(((x + 1) div 2) * ((x div 2) + 1)))
A077613: 0 1 4 24 144 1080 8640 80640 806400 9072000 108864000 1437004800 20118067200 305124019200 4881984307200 83691159552000
((loop(\(x,i).(i * x),x,(x div 2)) div 2) * ((x div 2) + 1))
A152885: 0 0 2 6 72 360 4320 30240 403200 3628800 54432000 598752000 10059033600 130767436800 2440992153600 36614882304000
(((if (2 - x) <= 0 then x else 2) + (x * 2)) * ((x div 2) + 1))
A052289: 2 4 12 18 36
(if (x mod 2) <= 0 then (((2 + 2) + 1) * x) else ((x div 2) + 1))
A319154: 0 1 10 2 20 3 30 4 40 5 50 6 60 7 70 8
((x mod 2) - ((if x <= 0 then 0 else (1 - x)) * ((x div 2) + 1)))
A192225: 0 1 2 5
A109094: 0 1 2 5 9 13 20 25 35 41 54 61 77 85 104 113
loop(\(x,i).((((i * 2) + 1) * i) + x),x,((x div 2) + 1))
A304487: 1 4 15 36 73 128 207 312 449 620 831 1084 1385 1736 2143 2608
loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),(x div 2),1)
A058187: 1 1 4 4 10 10 20 20 35 35 56 56 84 84 120 120
(if (((x - 1) mod ((2 + 2) + 1)) - 1) <= 0 then (x mod 2) else 1)
A285668-A267813-A117278: 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1
(if (2 - (x mod (((2 + 1) * 2) + 1))) <= 0 then (x mod 2) else 1)
A104120: 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1
(((if (2 - x) <= 0 then ((x div 2) + 2) else 1) * (x mod 2)) + 1)
A282738: 1 2 1 4 1 5 1 6 1 7 1 8 1 9 1 10
(((loop(\(x,i).((x + 2) * 2),x,1) div 2) + (x mod 2)) + 1)
A087940: 1 5 9 20 39 80 159 320 639 1280 2559 5120 10239 20480 40959 81920
(loop(\(x,i).((x * 2) * 2),(x div 2),(2 - (x mod 2))) + 1)
A140590: 3 2 9 5 33 17 129 65 513 257 2049 1025 8193 4097 32769 16385
(((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) * (x mod 2)) + 1)
A214057: 1 2 1 4 1 3 1 8 1 10 1 3 1 14 1 16
((loop(\(x,i).((x - (i mod 2)) * 2),x,2) - (x mod 2)) - 1)
A097072: 1 0 3 4 11 20 43 84 171 340 683 1364 2731 5460 10923 21844
(loop(\(x,i).((2 + 2) * (x + 1)),(x div 2),(x mod 2)) + 1)
A097163: 1 2 5 9 21 37 85 149 341 597 1365 2389 5461 9557 21845 38229
(if (x - ((2 + 2) * (2 + 1))) <= 0 then 0 else ((x mod 2) + 1))
A161273: 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2
(((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) * ((x mod 2) + 1))
A089145: 3 2 1 6 1 2 3 2 1 6 1 2 3 2 1 6
(loop(\(x,i).i,(((x div 2) - 1) div 2),1) div ((x mod 2) + 1))
A332677: 1 0 1 0 1 0 1 0 1 0 2 1 2 1 3 1
((if (x mod (2 + 1)) <= 0 then (x * 2) else 1) * ((x mod 2) + 1))
A069566: 0 2 1 12 1 2
(loop(\(x,i).((x * 2) * 2),(x div 2),1) div ((x mod 2) + 1))
A154383: 1 0 4 2 16 8 64 32 256 128 1024 512 4096 2048 16384 8192
(loop(\(x,i).(1 - (x * 2)),(x div 2),1) div ((x mod 2) + 1))
A117576: 1 0 ~1 ~1 3 1 ~5 ~3 11 5 ~21 ~11 43 21 ~85 ~43
loop(\(x,i).((i * i) * x),((x div 2) + 1),((x mod 2) + 1))
A222011: 1 2 4 8
A263623: 1 2 4 8 36
(loop(\(x,i).(((x * 2) * 2) + 1),x,1) div ((x mod 2) + 1))
A266873: 1 2 21 42 341 682 5461 10922 87381 174762 1398101 2796202 22369621 44739242 357913941 715827882
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) div ((x mod 2) + 1))
A156189: 1 3 36 108 1296 3888 46656 139968 1679616 5038848 60466176 181398528 2176782336 6530347008 78364164096 235092492288
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) div ((x mod 2) + 1))
A167205: 1 1 5 7 41 61 365 547 3281 4921 29525 44287 265721 398581 2391485 3587227
(loop(\(x,i).(((i mod 2) - x) * 2),x,1) * ((x mod 2) + 1))
A087213: 1 0 0 4 ~4 20 ~20 84 ~84 340 ~340 1364 ~1364 5460 ~5460 21844
((if (x - 2) <= 0 then 1 else (x div (2 + 2))) div ((x mod 2) + 1))
A029238: 1 0 1 0 1 0 1 0 2 1 2 1 3 1 3 1
((if (x mod (2 + 2)) <= 0 then x else (x * 2)) * ((x mod 2) + 1))
A109045: 0 4 4 12 4 20 12 28 8 36 20 44 12 52 28 60
loop(\(x,i).((2 + 2) * (x + 1)),(x div 2),((x mod 2) + 1))
A176961: 1 2 8 12 36 52 148 212 596 852 2388 3412 9556 13652 38228 54612
loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),((x mod 2) + 1))
A172411: 1 2 5 10
A018262: 1 2 5 10 25 50
A018356: 1 2 5 10 25 50 125 250
A026383: 1 2 5 10 25 50 125 250 625 1250 3125 6250 15625 31250 78125 156250
loop(\(x,i).(((x + 2) + 1) * x),(x div 2),((x mod 2) + 1))
A003223: 1 2 4 10 28 130
loop(\(x,i).(x - (x div ((i mod 2) - 2))),x,((x mod 2) + 1))
A166552: 1 4 3 12 9 36 27 108 81 324 243 972 729 2916 2187 8748
loop(\(x,i).((((i mod 2) + 2) + 1) * x),x,((x mod 2) + 1))
A162466: 1 8 12 96 144 1152 1728 13824 20736 165888 248832 1990656 2985984 23887872 35831808 286654464
loop(\(x,i).((((i mod 2) * 2) + 1) * x),x,((x mod 2) + 1))
A166450: 1 6 3 18 9 54 27 162 81 486 243 1458 729 4374 2187 13122
loop(\(x,i).(((2 - (i mod 2)) + 1) * x),x,((x mod 2) + 1))
A231407: 1 4 6
A164532: 1 4 6 24 36 144 216 864 1296 5184 7776 31104 46656 186624 279936 1119744
(((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 1)
A258409-A060680: 1 2 1 4 1 6 1 2 1 10 1 12 1 2 1 16
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,2) + 1)
A199750: 3 23 243 2663 29283 322103 3543123 38974343 428717763 4715895383 51874849203 570623341223 6276856753443 69045424287863 759499667166483 8354496338831303
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,2) - 1)
A198974: 1 21 241 2661 29281 322101 3543121 38974341 428717761 4715895381 51874849201 570623341221 6276856753441 69045424287861 759499667166481 8354496338831301
(x - ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) - 1))
A225381: 1 2 2 4 3 5 4 8 5 8 6 11 7 11 8 16
(loop(\(x,i).((i - (x div ((i + 2) + 1))) + x),x,2) - 1)
A025704-A022776: 1 2 4 7 10 14 19 24 30 37 45 53 62 72 82 93
((loop(\(x,i).((((x + 2) + 2) + 2) * 2),x,x) div 2) + 1)
A048467: 1 8 23 55 123 267 571 1211 2555 5371 11259 23547 49147 102395 212987 442363
((loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,x) div 2) + 1)
A048469: 1 10 29 69 153 329 697 1465 3065 6393 13305 27641 57337 118777 245753 507897
(loop(\(x,i).((((i * 2) + 1) * x) * 2),(x * x),2) + 1)
A112856: 3 13 30241 670442572801 4611686018427387903 4611686018427387903
(((if (2 - x) <= 0 then x else 2) + 1) * (((x * x) * 2) + 1))
A135415: 3 9 27 76
(if (x - (2 + 2)) <= 0 then (x + 1) else (((x * x) * 2) - 1))
A173574: 1 2 3 4 5 49
(if (x - (2 + 2)) <= 0 then (x * x) else (((x * x) * 2) - 1))
A291216: 0 1 4 9 16 49
loop(\(x,i).((x + 2) * i),(x - 1),(((x * x) div 2) + 1))
A343165: 1 1 5 18 84
(((((2 + 2) * 2) * 2) + loop(\(x,i).(x * x),x,2)) - 1)
A160027: 17 19 31 271 65551 4294967311
((loop(\(x,i).((((i * 2) + 1) * i) + x),x,x) * 2) + 1)
A177342: 1 9 31 75 149 261 419 631 905 1249 1671 2179 2781 3485 4299 5231
((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x) + 1)
A270418-A056192: 1 2 3 4 5 6 7 1 9 10 11 12 13 14 15 16
((if (x mod (((x mod (2 + 2)) + 2) + 1)) <= 0 then 0 else x) + 1)
A280505: 1 2 3 4 5 6 7 8 9 10 1 12 1 14 15 16
((if ((x div (0 - 2)) mod ((2 + 2) + 1)) <= 0 then 0 else x) + 1)
A180410: 1 2 3 4 5 6 7 8 9 1 1 12 13 14 15 16
(((if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + x) + 1)
A093783: 1 2 3 6 5 6 7 8 11 10 11 12 13 16 15 16
((if (((x * 2) div ((x div 2) + 2)) - 2) <= 0 then 0 else x) + 1)
A179937: 1 1 1 1 1 1 1 1 1 10 1 12 13 14 15 16
((if (((x div 2) * (x + 1)) mod (2 + 2)) <= 0 then 0 else x) + 1)
A147661: 1 1 3 1 5 1 7 1 1 1 11 1 13 1 15 1
(((0 - x) * 2) mod (((if (x mod 2) <= 0 then 2 else 0) + x) + 1))
A021796: 0 0 1 2 6 2 6 2 6 2 6 2 6 2 6 2
((loop(\(x,i).(((i + 2) * x) + 1),(x - 2),0) * x) + 1)
A131965: 1 1 1 4 21 131 943 7701 70409 712891 7921011 95844233 1254688141 17670191319 266412115271 4281623281141
(((if (x mod (((2 + 2) * 2) + 1)) <= 0 then x else 0) + x) + 1)
A092596: 1 2 3 4 5 6 7 8 9 19
A199344: 1 2 3 4 5 6 7 8 9 19 11 12 13 14 15 16
((loop(\(x,i).(i - ((i + 1) mod (x + 1))),x,0) + x) + 1)
A092754: 1 3 4 7 8 9 10 15 16 17 18 19 20 21 22 31
((loop(\(x,i).(((i + x) * 2) + (i mod 2)),x,0) - x) + 1)
A005262: 1 3 9 25 59 131 277 573 1167 2359 4745 9521 19075 38187 76413 152869
loop(\(x,i).((x mod ((i div ((x mod 2) + 1)) + 1)) + 1),x,1)
A071797: 1 1 2 3 1 2 3 4 5 1 2 3 4 5 6 7
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + 1),x,1)
A246057: 1 16 166 1666 16666 166666 1666666 16666666 166666666 1666666666 16666666666 166666666666 1666666666666 16666666666666 166666666666666 1666666666666666
loop(\(x,i).((((x * 2) - 1) * ((2 + 2) + 1)) - 1),x,1)
A093137: 1 4 34 334 3334 33334 333334 3333334 33333334 333333334 3333333334 33333333334 333333333334 3333333333334 33333333333334 333333333333334
loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1)
A033175: 1 31 331 3331 33331 333331 3333331 33333331 333333331 3333333331 33333333331 333333333331 3333333333331 33333333333331 333333333333331 3333333333333331
loop(\(x,i).((((2 + 1) * x) * ((2 + 2) + 1)) + 1),x,1)
A135518: 1 16 241 3616 54241 813616 12204241 183063616 2745954241 41189313616 617839704241 9267595563616 139013933454241 2085209001813616 31278135027204241 469172025408063616
loop(\(x,i).((((i * i) * x) * ((2 + 2) + 1)) + 1),x,1)
A336808: 1 6 121 5446 435681 54460126 9802822681 2401691556846 768541298190721 311259225767242006 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + x) * (x + 1)) div (2 + 1)) + 1),x,1)
A097980: 1 2 5 17 127
loop(\(x,i).(((((x + 2) + 2) * 2) * (2 + 1)) + 1),x,1)
A164784: 1 31 211 1291 7771 46651 279931 1679611 10077691 60466171 362797051 2176782331 13060694011 78364164091 470184984571 2821109907451
((if ((x - 1) mod ((2 + 2) * (2 + 1))) <= 0 then 1 else x) + 1)
A268982: 1 2 3 4 5 6 7 8 9 10 11 12 13 2 15 16
loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) - 1)),x,1)
A014993: 1 ~10 111 ~1220 13421 ~147630 1623931 ~17863240 196495641 ~2161452050 23775972551 ~261535698060 2876892678661 ~31645819465270 348104014117971 ~3829144155297680
((loop(\(x,i).((x * x) * 2),(x - (2 + 1)),1) + x) - 1)
A259503: 0 1 2 3 5 12 133
loop(\(x,i).((((x * 2) * 2) + (i mod (2 + 1))) + 1),x,1)
A037604: 1 6 27 109 438 1755 7021 28086 112347 449389 1797558 7190235 28760941 115043766 460175067 1840700269
((loop(\(x,i).((i * x) + 1),((x * 2) - 1),1) * x) + 1)
A086894: 1 3 33 979 54801 4932051 651030673 118487582403 28437019776609 8701728051642211 3306656659624040001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1),x) + 1)
A174090: 1 2 3 4 5 7 8 11 13 16 17 19 23 29 31 32
((if x <= 0 then 2 else ((((2 + 2) * (x + 1)) + 1) * x)) - 1)
A164754: 1 8 25 50 83 124 173 230 295 368 449 538 635 740 853 974
loop(\(x,i).(((((x + 2) + 2) + 2) mod (i + 1)) + 1),x,1)
A178853: 1 2 3 2 4 5 5 4 2 9 5 12 6 13 5 12
loop(\(x,i).(x - (x div (((2 + 2) * (0 - 2)) - 1))),x,1)
A060472-A033062: 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 23
loop(\(x,i).((x mod (((i + 1) div (2 + 1)) + 2)) + 1),x,1)
A194063-A194053: 1 2 3 1 2 3 4 1 2 3 4 5 6 1 2 3
loop(\(x,i).(((((i + x) + x) * (2 + 1)) div 2) + 1),x,1)
A141397: 1 5 19 62 193 587 1771 5324 15985 47969 143923 431786 1295377 3886151 11658475 34975448
loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,1)
A097166: 1 13 133 1333 13333 133333 1333333 13333333 133333333 1333333333 13333333333 133333333333 1333333333333 13333333333333 133333333333333 1333333333333333
loop(\(x,i).(((x - (((x * 2) * 2) * 2)) * 2) + 1),x,1)
A268413: 1 ~13 183 ~2561 35855 ~501969 7027567 ~98385937 1377403119 ~19283643665 269971011311 ~3779594158353 52914318216943 ~740800455037201 10371206370520815 ~145196889187291409
(loop(\(x,i).(i * 2),(x mod (((2 + 2) * 2) + 1)),x) + 1)
A118137: 1 3 5 7 9 11 13 15 17 10 3 5 7 9 11 13
loop(\(x,i).((((((i * i) * x) div 2) * 2) * 2) + 1),x,1)
A337152: 1 1 9 161 5153 257649 18550729 1817971441 232700344449 37697455800737 7539491160147401 1824556860755671041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * ((2 + 2) + 1)),x,1)
A009974: 1 30 900 27000 810000 24300000 729000000 21870000000 656100000000 19683000000000 590490000000000 17714700000000000 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i + x),((x - 1) div ((2 + 2) + 1)),x) + 1)
A269164: 1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19
loop(\(x,i).(((x * 2) * (i + 1)) * ((2 + 2) + 1)),x,1)
A035279: 1 20 600 24000 1200000 72000000 5040000000 403200000000 36288000000000 3628800000000000 399168000000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * ((2 + 2) + 1)),x,1)
A009984: 1 40 1600 64000 2560000 102400000 4096000000 163840000000 6553600000000 262144000000000 10485760000000000 419430400000000000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) div (x + 2)),((2 + 2) + 1),x) + 1)
A111633: 1 1 1 1 1 1 1 1 1 1 2 2 3 4 5 6
loop(\(x,i).(x - ((1 - (x * 2)) * ((2 + 2) + 1))),x,1)
A034659: 1 6 61 666 7321 80526 885781 9743586 107179441 1178973846 12968712301 142655835306 1569214188361 17261356071966 189874916791621 2088624084707826
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) + 1) * x) + 1))
A016868: 1 1679616 214358881 4294967296 37822859361 208827064576 852891037441 2821109907456 7984925229121 20047612231936 45767944570401 96717311574016 191707312997281 360040606269696
loop(\(x,i).((x * x) * x),1,((((2 + 2) + 1) * x) + 1))
A016863: 1 216 1331 4096 9261 17576 29791 46656 68921 97336 132651 175616 226981 287496 357911 438976
loop(\(x,i).((x * x) * x),2,((((2 + 2) + 1) * x) + 1))
A016869: 1 10077696 2357947691 68719476736 794280046581 5429503678976 26439622160671 101559956668416 327381934393961 922190162669056 2334165173090451 5416169448144896 11694146092834141 23762680013799936
loop(\(x,i).(((x mod (2 + 1)) * x) * ((2 + 2) + 1)),x,1)
A093143: 1 5 50 500 5000 50000 500000 5000000 50000000 500000000 5000000000 50000000000 500000000000 5000000000000 50000000000000 500000000000000
loop(\(x,i).((((i * 2) + 1) * x) * ((2 + 2) + 1)),x,1)
A035274: 1 15 375 13125 590625 32484375 2111484375 158361328125 13460712890625 1278767724609375 134270611083984375 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x * x) - 1),x,(2 + 2)) + 1) * x) + 1)
A271438: 1 17 451
loop(\(x,i).(x - ((((x mod 2) - (x * 2)) * 2) - 1)),x,1)
A083425: 1 4 21 104 521 2604 13021 65104 325521 1627604 8138021 40690104 203450521 1017252604 5086263021 25431315104
loop(\(x,i).(x - (((i mod 2) - ((x * 2) * 2)) - 1)),x,1)
A033115: 1 5 26 130 651 3255 16276 81380 406901 2034505 10172526 50862630 254313151 1271565755 6357828776 31789143880
loop(\(x,i).((((i mod 2) + x) + ((x * 2) * 2)) + 1),x,1)
A037482: 1 7 36 182 911 4557 22786 113932 569661 2848307 14241536 71207682 356038411 1780192057 8900960286 44504801432
loop(\(x,i).(((((i mod 2) + x) + (x * 2)) * 2) + 1),x,1)
A037578: 1 9 55 333 1999 11997 71983 431901 2591407 15548445 93290671 559744029 3358464175 20150785053 120904710319 725428261917
loop(\(x,i).(((((i mod 2) + x) + (x * 2)) * 2) - 1),x,1)
A108983: 1 7 41 247 1481 8887 53321 319927 1919561 11517367 69104201 414625207 2487751241 14926507447 89559044681 537354268087
(((x * x) div (loop(\(x,i).i,((x div 2) - 2),1) + x)) + 1)
A100721: 1 1 2 3 4 5 6 7 7 8 8 9 10 10 11 12
loop(\(x,i).(((i * i) * x) - (((x mod 2) * 2) - 1)),x,1)
A073701: 1 0 1 8 129 3224 116065 5687184 363979777 29482361936 2948236193601 356736579425720 51370067437303681 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) - (x div (((i * 2) * 2) + 1))),x,1)
A025726: 1 2 4 7 11 16 22 29 37 45 54 64 75 87 100 114
loop(\(x,i).(((((x * 2) * 2) + (i mod 2)) * 2) + 1),x,1)
A037580: 1 11 89 715 5721 45771 366169 2929355 23434841 187478731 1499829849 11998638795 95989110361 767912882891 6143303063129 49146424505035
loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * (2 + 1)),x,1)
A054878: 1 0 3 6 21 60 183 546 1641 4920 14763 44286 132861 398580 1195743 3587226
loop(\(x,i).((((i + 1) * x) * (2 + 1)) * (2 + 1)),x,1)
A035023: 1 18 486 17496 787320 42515280 2678462640 192849310080 15620794116480 1405871470483200 139181275577836800 4611686018427387903 4611686018427387903 4611686018427387903
(2 - loop(\(x,i).(((i + 1) * (x - 1)) div (2 + 1)),x,1))
A003218: 1 2 3 5 9 18 42
loop(\(x,i).((((i + 1) * x) * (i + 1)) * (2 + 1)),x,1)
A080141: 1 12 324 15552 1166400 125971200 18517766400 3555411148800 863964909158400 259189472747520000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) * (2 + 1)),x,1)
A168427: 1 3 9 27 21 3 9 27 21 3 9 27 21 3 9 27
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * (2 + 1)),x,1)
A009992: 1 48 2304 110592 5308416 254803968 12230590464 587068342272 28179280429056 1352605460594688 64925062108545024 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (2 + 1) else x) + 1)
A007948: 1 2 3 4 5 6 7 4 9 10 11 12 13 14 15 4
loop(\(x,i).((((i * x) * (2 + 2)) * 2) * (2 + 1)),x,1)
A080775: 1 24 1152 82944 7962624 955514880 137594142720 23115815976960 4438236667576320 958659120196485120 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (((1 - (x * 2)) * 2) * (2 + 1))),x,1)
A193578: 1 7 85 1099 14281 185647 2413405 31374259 407865361 5302249687 68929245925 896080197019 11649042561241 151437553296127 1968688192849645 25592946507045379
loop(\(x,i).(x - (2 - (((x * 2) * 2) * (2 + 1)))),x,1)
A083078: 1 11 141 1831 23801 309411 4022341 52290431 679775601 8837082811 114882076541 1493466995031 19415070935401 252395922160211 3281146988082741 42654910845075631
loop(\(x,i).((1 - x) - (((x * 2) * 2) * (2 + 1))),x,1)
A015000: 1 ~12 157 ~2040 26521 ~344772 4482037 ~58266480 757464241 ~9847035132 128011456717 ~1664148937320 21633936185161 ~281241170407092 3656135215292197 ~47529757798798560
loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016123: 1 12 133 1464 16105 177156 1948717 21435888 235794769 2593742460 28531167061 313842837672 3452271214393 37974983358324 417724816941565 4594972986357216
loop(\(x,i).(2 - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A199023: 1 13 145 1597 17569 193261 2125873 23384605 257230657 2829537229 31124909521 342374004733 3766114052065 41427254572717 455699800299889 5012697803298781
loop(\(x,i).((((x * 2) - (x mod 2)) * 2) * (2 + 1)),x,1)
A067419: 1 6 72 864 10368 124416 1492992 17915904 214990848 2579890176 30958682112 371504185344 4458050224128 53496602689536 641959232274432 7703510787293184
loop(\(x,i).(((((i * 2) + 1) * x) * 2) * (2 + 1)),x,1)
A254381: 1 18 540 22680 1224720 80831520 6304858560 567437270400 57878601580800 6598160580211200 831368233106611200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) - 1) * x) * 2) * (2 + 1)),x,1)
A221954: 1 6 108 3240 136080 7348320 484989120 37829151360 3404623622400 347271609484800 39588963481267200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) + x) + 2) * (2 + 1)),x,1)
A036546: 1 33 129 417 1281 3873 11649 34977 104961 314913 944769 2834337 8503041 25509153 76527489 229582497
loop(\(x,i).(x - (((x mod 2) - (x * 2)) * (2 + 1))),x,1)
A270471: 1 4 28 196 1372 9604 67228 470596 3294172 23059204 161414428 1129900996 7909306972 55365148804 387556041628 2712892291396
loop(\(x,i).(1 - ((x mod 2) - ((x * 2) * (2 + 1)))),x,1)
A033116: 1 6 37 222 1333 7998 47989 287934 1727605 10365630 62193781 373162686 2238976117 13433856702 80603140213 483618841278
(((if (x - 2) <= 0 then 2 else ((x * 2) div (2 + 1))) + x) - 1)
A032955: 1 2 3 4 5 7 9 10 12 14 15 17 19 20 22 24
loop(\(x,i).(x - (((2 - (i + x)) div 2) div (2 + 1))),x,1)
A007279: 1 1 2 3 4 6 8 11 14 18 23 29 36 44 54 66
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((2 + 1) * x),1)
A060366: 1 1000 1000000 1000000000 1000000000000 1000000000000000 1000000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - 1) * x) * 2),((2 + 1) * x),1)
A166351: 1 120 665280 17643225600 1295295050649600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i * i) + x),x,0) * (((2 + 1) * x) + 1))
A011195: 0 4 35 140 390 880 1729 3080 5100 7980 11935 17204 24050 32760 43645 57040
loop(\(x,i).(x div ((x mod 2) - 2)),2,(((2 + 1) * x) + 1))
A176672: 1 1 7 5 13 4 19 11 25 7 31 17 37 10 43 23
loop(\(x,i).((x - (2 + 1)) * 2),x,(((2 + 1) * x) + 1))
A048499: 1 2 10 38 118 326 838 2054 4870 11270 25606 57350 126982 278534 606214 1310726
loop(\(x,i).(((x * x) - 1) * x),1,(((2 + 1) * x) - 1))
A054776: 0 6 120 504 1320 2730 4896 7980 12144 17550 24360 32736 42840 54834 68880 85140
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),x,1)
A009965: 1 21 441 9261 194481 4084101 85766121 1801088541 37822859361 794280046581 16679880978201 350277500542221 7355827511386641 154472377739119461 3243919932521508681 4611686018427387903
loop(\(x,i).(((((i + 1) * 2) + 1) * x) * (2 + 1)),x,1)
A053102: 1 15 315 8505 280665 10945935 492567075 25120920825 1431892487025 90209226682575 6224436641097675 466832748082325625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) * (2 + 1)) + x) * (2 + 1)),x,1)
A035013: 1 12 252 7560 294840 14152320 806682240 53241027840 3993077088000 335418475392000 31193918211456000 3181779657568512000 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) * (2 + 1)) - x) * (2 + 1)),x,1)
A147630: 1 6 90 2160 71280 2993760 152681760 9160905600 632102486400 49303993939200 4289447472710400 411786957380198400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) div (2 + 1)) + x) + (2 + 1)),x,1)
A076861: 1 4 9 21 52
(((if (x mod 2) <= 0 then x else ((1 - x) div (2 + 1))) + x) + 1)
A026219-A026201: 1 2 5 3 9 4 13 6 17 7 21 8 25 10 29 11
((x * 2) - (loop(\(x,i).i,((1 - x) mod (2 + 1)),x) - 1))
A080029: 0 2 3 6 5 9 12 8 15 18 11 21 24 14 27 30
loop(\(x,i).((((x * 2) div (i + 1)) + x) * (2 + 1)),x,1)
A036068: 1 6 30 135 567 2268 8748 32805 120285 433026 1535274 5373459 18600435 63772920 216827928 731794257
((((if (x mod 2) <= 0 then x else (2 - x)) mod (2 + 1)) + x) + 1)
A077859: 1 3 5 6 6 6 7 9 11 12 12 12 13 15 17 18
(((loop(\(x,i).((x div 2) * x),2,x) div (2 + 1)) + x) + 1)
A072246: 1 2 3 5 15 22
loop(\(x,i).(((((2 + 1) * i) + 2) * x) * (2 + 1)),x,1)
A035020: 1 15 360 11880 498960 25446960 1526817600 105350414400 8217332323200 714907912118400 68631159563366400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * i) - 2) * x) * (2 + 1)),x,1)
A144758: 1 3 36 756 22680 884520 42456960 2420046720 159723083520 11979231264000 1006255426176000 93581754634368000 4611686018427387903 4611686018427387903 4611686018427387903
(((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + 1)
A181534: 1 2 3 3 4 5 5 6 7 7 8 9 10 10 11 12
(((if ((x div 2) - 2) <= 0 then 2 else (x div (2 + 1))) + x) + 1)
A154660: 3 4 5 6 7 8
A298112: 3 4 5 6 7 8 9 10 11 13 14 15 17 18 19 21
(if ((x - 1) mod (2 + 1)) <= 0 then ((x div (2 + 1)) + x) else 1)
A058281: 1 1 1 1 5 1 1 9 1 1 13 1 1 17 1 1
loop(\(x,i).((((x * 2) * 2) * 2) + (x mod (2 + 1))),x,1)
A170690-A170642-A170594-A170546-A170498-A170450-A170402-A170354-A170306-A170258-A170210-A170162-A170114-A170066-A170018-A169550-A169502-A169454-A169406-A169358-A169310-A169262-A169214-A169166-A169118-A169070-A169022-A168974-A168926-A168878-A168830-A168782-A168734-A168686-A167900-A003951: 1 9 72 576 4608 36864 294912 2359296 18874368 150994944 1207959552 9663676416 77309411328 618475290624 4947802324992 39582418599936
loop(\(x,i).((((i mod 2) - x) * 2) - (x mod (2 + 1))),x,1)
A122959: 1 ~1 0 2 ~6 14 ~30 62 ~126 254 ~510 1022 ~2046 4094 ~8190 16382
loop(\(x,i).(((i mod 2) - (x * 2)) - (x mod (2 + 1))),x,1)
A248155: 1 ~2 3 ~5 9 ~17 33 ~65 129 ~257 513 ~1025 2049 ~4097 8193 ~16385
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) * 2) + 1),x,1)
A135519: 1 15 211 2955 41371 579195 8108731 113522235 1589311291 22250358075 311505013051 4361070182715 61054982558011 854769755812155 11966776581370171 167534872139182395
loop(\(x,i).((((x * 2) * (2 + 1)) + (x mod 2)) + 1),x,1)
A037483: 1 8 49 296 1777 10664 63985 383912 2303473 13820840 82925041 497550248 2985301489 17911808936 107470853617 644825121704
loop(\(x,i).(((((x * 2) * 2) * 2) + (x mod 2)) + 1),x,1)
A037485: 1 10 81 650 5201 41610 332881 2663050 21304401 170435210 1363481681 10907853450 87262827601 698102620810 5584820966481 44678567731850
loop(\(x,i).(((((x * 2) * 2) * 2) - (x mod 2)) + 1),x,1)
A033118: 1 8 65 520 4161 33288 266305 2130440 17043521 136348168 1090785345 8726282760 69810262081 558482096648 4467856773185 35742854185480
loop(\(x,i).((((i * 2) + 1) * x) * ((i + 2) + 1)),x,1)
A014130: 1 12 300 12600 793800 69854400 8172964800 1225944720000 229251662640000 52269379081920000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1)
A188545: 1 3 10
A001700: 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195
loop(\(x,i).((((x * 2) * 2) * 2) * ((i * 2) + 1)),x,1)
A254619: 1 24 960 53760 3870720 340623360 35424829440 4250979532800 578133216460800 87876248902041600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) + i) * 2) + 1),x,1)
A179619: 1 13 135 1357 13579 135801 1358023 13580245 135802467 1358024689 13580246911 135802469133 1358024691355 13580246913577 135802469135799 1358024691358021
loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) + 1),x,1)
A091030: 1 14 183 2380 30941 402234 5229043 67977560 883708281 11488207654 149346699503 1941507093540 25239592216021 328114698808274 4265491084507563 55451384098598320
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) - 1),x,1)
A199760: 1 10 109 1198 13177 144946 1594405 17538454 192922993 2122152922 23343682141 256780503550 2824585539049 31070440929538 341774850224917 3759523352474086
loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * x) + 1),x,1)
A091045: 1 18 307 5220 88741 1508598 25646167 435984840 7411742281 125999618778 2141993519227 36413889826860 619036127056621 10523614159962558 178901440719363487 3041324492229179280
((loop(\(x,i).(((i * i) * x) + (i + 1)),x,1) * x) + 1)
A141827: 1 4 31 418 8917 278656 12037939 688168846 50334635593 4586743668412 509638185379111 67832842473959674 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * i) * (i + 1)) div 2) + x) + 1),x,1)
A188545: 1 3 10
A130218: 1 3 10 29 70 146 273 470 759 1165 1716 2443 3380 4564 6035 7836
loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) + x) + 1),x,1)
A037577: 1 8 41 208 1041 5208 26041 130208 651041 3255208 16276041 81380208 406901041 2034505208 10172526041 50862630208
loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) + x) - 1),x,1)
A108982: 1 6 29 146 729 3646 18229 91146 455729 2278646 11393229 56966146 284830729 1424153646 7120768229 35603841146
((loop(\(x,i).((i * x) - ((x div 2) - 2)),x,1) + x) + 1)
A324149: 2 5 10 24 77
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + x) - 1)
A123522: 0 10 101 1002 10003 100004 1000005 10000006 100000007 1000000008 10000000009 100000000010 1000000000011 10000000000012 100000000000013 1000000000000014
loop(\(x,i).((((((i mod 2) + 2) * i) div 2) + x) + 1),x,1)
A083462: 1 3 6 11
A087099: 1 3 6 11 16 24 31 42 51 65 76 93 106 126 141 164
loop(\(x,i).(((((i div 2) + 2) * (i div 2)) + x) + 1),x,1)
A005993: 1 2 6 10 19 28 44 60 85 110 146 182 231 280 344 408
(compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) + 1)
A176997-A175524-A138980-A074918-A006005: 1 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)
A324050-A094742-A064555-A052424-A015919-A008578-A005180: 1 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,0) mod (x + 1)),x) + 1)
A322271: 1 5 7 11 13 17 19 23
A271116-A175212-A140475: 1 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
(((if (x - 2) <= 0 then 1 else ((2 + 2) * (x + 1))) + x) + 1)
A309789: 2 3 4 20 25
(loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) + x)) - 1)
A180577: 15 80 195 360 575 840 1155 1520 1935 2400 2915 3480 4095 4760 5475 6240
loop(\(x,i).((x * 2) * 2),(((2 + 2) * (x + 1)) + x),1)
A013833: 256 262144 268435456 274877906944 281474976710656 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013829: 81 19683 4782969 1162261467 282429536481 68630377364883 16677181699666569 4052555153018976267 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + x) div ((x mod 2) + 2)) + (x + 1)),x,1)
A077866: 1 2 5 8 15 22 37 52 83 114 177 240 367 494 749 1004
loop(\(x,i).(((x * 2) * (2 + 1)) + (2 div (x + 1))),x,1)
A170688-A170640-A170592-A170544-A170496-A170448-A170400-A170352-A170304-A170256-A170208-A170160-A170112-A170064-A170016-A169548-A169500-A169452-A169404-A169356-A169308-A169260-A169212-A169164-A169116-A169068-A169020-A168972-A168924-A168876-A168828-A168780-A168732-A168684-A167898-A003949: 1 7 42 252 1512 9072 54432 326592 1959552 11757312 70543872 423263232 2539579392 15237476352 91424858112 548549148672
loop(\(x,i).((((x * 2) * 2) * 2) - (2 div (x + 1))),x,1)
A055274: 1 7 56 448 3584 28672 229376 1835008 14680064 117440512 939524096 7516192768 60129542144 481036337152 3848290697216 30786325577728
(((if (x mod 2) <= 0 then (2 + 2) else (2 div (x + 1))) + x) - 1)
A065168: 3 1 5 2 7 4 9 6 11 8 13 10 15 12 17 14
((loop(\(x,i).(x * x),2,(x + 2)) - ((x + 1) * x)) - 1)
A269620: 15 78 249 612 1275 2370 4053 6504 9927 14550 20625 28428 38259 50442 65325 83280
(loop(\(x,i).((((x + 2) + 2) * i) + x),(x + 1),x) + 1)
A052225: 5 27 141 837 5757 45357 403197 3991677 43545597 518918397 6706022397 93405311997 1394852659197 22230464255997 376610217983997 6758061133823997
loop(\(x,i).((((x * 2) * (2 + 1)) + i) + (x + 1)),x,1)
A014830: 1 9 66 466 3267 22875 160132 1120932 7846533 54925741 384480198 2691361398 18839529799 131876708607 923136960264 6461958721864
loop(\(x,i).((((x div (2 + 1)) + 2) * i) + (x + 1)),x,1)
A096124: 1 4 11 27 72
loop(\(x,i).(((((i + 2) + 2) + 2) * i) + (x + 1)),x,1)
A052153: 1 9 26 54 95 151 224 316 429 565 726 914 1131 1379 1660 1976
(((2 + 2) * 2) - loop(\(x,i).((2 + 2) * (x - 1)),x,1))
A156605: 7 8 12 28 92 348 1372 5468 21852 87388 349532 1398108 5592412 22369628 89478492 357913948
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x - 1),x) + 1)
A094797: 1 2 21 301 4001 50001 600001 7000001 80000001 900000001 10000000001 110000000001 1200000000001 13000000000001 140000000000001 1500000000000001
((if (x - 2) <= 0 then 1 else (x * x)) * (((x - 1) * x) + 1))
A135444: 1 1 3 63
loop(\(x,i).((i - ((i * i) * 2)) * x),((x - 1) * x),1)
A273723: 1 1 6 7484400 4611686018427387903
(loop(\(x,i).(((i * i) div (2 + 2)) + x),(x - 1),x) + 1)
A088795: 1 2 3 5 8 13 20 30 43 60 81 107 138 175 218 268
loop(\(x,i).(((((i * 2) - 1) * i) * i) + (x - 1)),x,1)
A046998: 1 1 12 56 167 391 786 1422 2381 3757 5656 8196 11507 15731 21022 27546
(((((x mod 2) - x) div (2 + 1)) mod (if x <= 0 then 1 else x)) + 1)
A005229: 1 1 2 3 3 4 5 6 6 7 7 8 9 10 10 11
(((x mod ((2 + 2) * 2)) + 1) mod ((if x <= 0 then 1 else x) + 1))
A263363: 1 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8
loop(\(x,i).((i + 2) * x),((((x * x) * x) - 1) * x),1)
A127225: 1 1 10461394944000 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) + (i + x)) + 1),x,1)
A014832: 1 11 102 922 8303 74733 672604 6053444 54481005 490329055 4412961506 39716653566 357449882107 3217048938977 28953440450808 260580964057288
loop(\(x,i).(x - (((2 + 1) * x) div ((0 - i) - 1))),x,1)
A083462: 1 3 6 11
A014125: 1 3 6 11 18 27 39 54 72 94 120 150 185 225 270 321
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) + i) + 1),x,1)
A014882: 1 14 171 2056 24677 296130 3553567 42642812 511713753 6140565046 73686780563 884241366768 10610896401229 127330756814762 1527969081777159 18335628981325924
loop(\(x,i).((((x div (2 + 2)) * (x + 1)) + i) + 1),x,1)
A005433: 1 2 3 4 10 28
loop(\(x,i).(((((x div 2) * 2) * 2) + 1) * (i + 1)),x,1)
A161937: 1 2 15 116 1165 13974 195643 3130280 56345049 1126900970 24791821351 595003712412 15470096522725 433162702636286 12994881079088595 415836194530835024
loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * (i + 1)),x,1)
A000240: 1 0 3 8 45 264 1855 14832 133497 1334960 14684571 176214840 2290792933 32071101048 481066515735 7697064251744
loop(\(x,i).((((i + 2) * x) * (2 + 1)) div (i + 1)),x,1)
A120926: 1 4 16 60 216 756 2592 8748 29160 96228 314928 1023516 3306744 10628820 34012224 108413964
loop(\(x,i).(((((x mod 2) * 2) + x) - 1) * (i + 1)),x,1)
A085110: 1 4 9 40 195 1176 8225 65808 592263 5922640 65149029 781788360 10163248667 142285481352 2134282220265 34148515524256
loop(\(x,i).(((i + 1) * x) - ((x + 1) div (i + 1))),x,1)
A000255: 1 1 3 11 53 309 2119 16687 148329 1468457 16019531 190899411 2467007773 34361893981 513137616783 8178130767479
loop(\(x,i).((((i * i) * x) * (i + 1)) * (i + 1)),x,1)
A069135: 1 4 144 20736 8294400 7464960000 13168189440000 41295442083840000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) - (x div ((2 + 2) * (i + 1)))),x,1)
A025707: 1 2 4 7 11 16 22 29 37 46 55 65 76 88 101 115
loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)
A168491: 1 ~1 2 ~5 14 ~42 132 ~429 1430 ~4862 16796 ~58786 208012 ~742900 2674440 ~9694845
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)
A000108: 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845
loop(\(x,i).(((((i + 2) + 2) * x) * 2) div (i + 1)),x,1)
A080930: 1 5 20 70 224 672 1920 5280 14080 36608 93184 232960 573440 1392640 3342336 7938048
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (i + 1)),x,1)
A034834: 1 14 294 8232 288120 12101040 592950960 33205253760 2091930986880 146435169081600 11275508019283200 947142673619788800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x mod 2) * x) * 2) - (x div (0 - 2))),x,1)
A185453: 1 3 8 4 2 1 3 8 4 2 1 3 8 4 2 1
loop(\(x,i).((x mod (((2 + 2) * (2 + 1)) + 1)) * 2),x,1)
A222011: 1 2 4 8
A167425: 1 2 4 8 16 6 12 24 22 18 10 20 14 2 4 8
loop(\(x,i).((x mod (((2 + 2) * (2 + 1)) - 1)) * 2),x,1)
A222011: 1 2 4 8
A167421: 1 2 4 8 16 10 20 18 14 6 12 2 4 8 16 10
(if x <= 0 then 2 else (((((x mod (2 + 1)) + 1) * 2) * x) - 1))
A084743: 2 3 11 5
(loop(\(x,i).(x - (x mod ((x div (i + 1)) + 1))),2,x) + 1)
A155047: 1 2 3 3 3 3 5 5 5 5 7 7 7 7 7 7
(x mod ((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 2 else x) + 1))
A106608: 0 1 2 3 4 5 6 1 8 9 10 11 12 13 2 15
(loop(\(x,i).(x div ((x mod ((2 + 1) * 2)) + 1)),2,x) + 1)
A248909-A170824-A140213: 1 1 1 1 1 1 7 1 1 1 1 1 13 7 1 1
loop(\(x,i).(((((i + 2) * (x + 1)) div 2) + 1) div 2),x,1)
A182080: 1 2 3 5 9 18 38
loop(\(x,i).(((((x * 2) - (i mod 2)) * 2) + 1) * 2),x,1)
A090409: 1 6 50 398 3186 25486 203890 1631118 13048946 104391566 835132530 6681060238 53448481906 427587855246 3420702841970 27365622735758
loop(\(x,i).((x - ((x div (0 - 2)) * (2 + 1))) * 2),x,1)
A128625: 1 8 40 200 1000 5000 25000 125000 625000 3125000 15625000 78125000 390625000 1953125000 9765625000 48828125000
(loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + 1)
A303219: 1 2 3 4 5 6 7 8 9 10 11 12 12 12 13 14
(loop(\(x,i).(i + x),(((x - 2) div (2 + 1)) - 2),x) + 1)
A135402-A135393: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 18 19
(((if ((x div 2) - 2) <= 0 then x else ((2 + 1) * 2)) + x) + 1)
A194391: 1 3 5 7 9 11 13 14 15 16 17 18 19 20 21 22
(1 mod (if ((x - 1) mod ((x div (2 + 1)) + 2)) <= 0 then x else 1))
A212213-A027351: 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1
loop(\(x,i).((((x mod 2) * 2) * 2) + ((x + 1) div 2)),x,1)
A070366: 1 5 7 8 4 2 1 5 7 8 4 2 1 5 7 8
((((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) + x) + 1)
A014683: 1 3 4 4 6 6 8 8 9 10 12 12 14 14 15 16
loop(\(x,i).(((((i + 2) + 2) * x) * (i + 1)) div 2),x,1)
A085356: 1 5 45 630 12600 340200 11907000 523908000 28291032000 1838917080000 141596615160000 12743695364400000 1325344317897600000 4611686018427387903 4611686018427387903
loop(\(x,i).((x - (((2 - i) * x) div (i + 1))) * 2),x,1)
A068875: 1 2 4 10 28 84 264 858 2860 9724 33592 117572 416024 1485800 5348880 19389690
loop(\(x,i).(x - (x div (((x div 2) mod (0 - 2)) - 2))),x,1)
A323383: 1 2 3 4 6 8 12
A319054: 1 2 3 4 6 8 12 18 24 36 54 72 108 162 216 324
(((2 mod ((if x <= 0 then 1 else x) div ((0 - 2) - 2))) + x) + 1)
A137721-A081304: 1 2 3 4 5 6 7 8 9 9 10 11 12 12 13 14
loop(\(x,i).((((x * 2) * 2) - (x div (0 - 2))) * 2),x,1)
A170691-A170643-A170595-A170547-A170499-A170451-A170403-A170355-A170307-A170259-A170211-A170163-A170115-A170067-A170019-A169551-A169503-A169455-A169407-A169359-A169311-A169263-A169215-A169167-A169119-A169071-A169023-A168975-A168927-A168879-A168831-A168783-A168735-A168687-A167908-A003952: 1 10 90 810 7290 65610 590490 5314410 47829690 430467210 3874204890 34867844010 313810596090 2824295364810 25418658283290 228767924549610
loop(\(x,i).(((x - (((i mod 2) * 2) - 1)) * 2) * 2),x,1)
A109499: 1 0 4 12 52 204 820 3276 13108 52428 209716 838860 3355444 13421772 53687092 214748364
(((((if (x - 1) <= 0 then x else (2 + 1)) + 2) * 2) + x) + 1)
A046038: 5 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26
(loop(\(x,i).i,(x mod (((x mod (2 + 1)) div 2) + 2)),x) + 1)
A109674: 1 2 3 2 5 3 7 2 3 2 11 3 13 2 3 2
loop(\(x,i).((x - 1) mod (((i div (2 + 1)) + 2) + 2)),x,1)
A179753: 1 0 3 2 1 0 5 4 3 2 1 0 7 6 5 4
(2 - loop(\(x,i).((x - ((i mod (2 + 1)) mod 2)) * 2),x,1))
A063823: 1 2 2 2 4 6 10 20 38 74 148 294 586 1172 2342 4682
loop(\(x,i).((((x - (x div (0 - 2))) * 2) * 2) * 2),x,1)
A338100: 1 16 192 2304 27648 331776 3981312 47775744 573308928 6879707136 82556485632 990677827584 11888133931008 142657607172096 1711891286065152 20542695432781824
loop(\(x,i).(x - (x div (((x div (2 + 2)) - 2) - 2))),x,1)
A323383: 1 2 3 4 6 8 12
A018253: 1 2 3 4 6 8 12 24
((loop(\(x,i).(((x + 2) * (x + 2)) + 2),2,2) + x) - 1)
A296904: 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
(loop(\(x,i).((((x + 1) * x) div 2) mod (2 + 2)),2,x) + 1)
A090281: 1 2 3 4 4 3 2 1 1 2 3 4 4 3 2 1
(2 - (2 div (if ((x - 2) mod ((2 + 2) * 2)) <= 0 then x else 1)))
A290081: 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0
((if (x mod 2) <= 0 then (x div 2) else (((2 + 2) * 2) + x)) + 1)
A303784: 1 10 2 12 3 14 4 16 5 18 6 20 7 22 8 24
loop(\(x,i).((x - (((x mod 2) - x) * (2 + 2))) * 2),x,1)
A093136: 1 2 20 200 2000 20000 200000 2000000 20000000 200000000 2000000000 20000000000 200000000000 2000000000000 20000000000000 200000000000000
loop(\(x,i).((x - (((1 - i) * x) * (2 + 2))) * 2),x,1)
A084948: 1 2 20 360 9360 318240 13366080 668304000 38761632000 2558267712000 189311810688000 15523568476416000 1397121162877440000 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (x div ((0 - (i mod (2 + 2))) - 2))),x,1)
A245779: 1 2 3 4 6 8 10 12 18 24
A020490: 1 2 3 4 6 8 10 12 18 24 30
(loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),2,x) + 1)
A053743: 45 145 245 345 445 545 645 745 845 945 1045 1145 1245 1345 1445 1545
loop(\(x,i).((x - (((x mod 2) - (x * 2)) * 2)) * 2),x,1)
A090019: 1 6 60 600 6000 60000 600000 6000000 60000000 600000000 6000000000 60000000000 600000000000 6000000000000 60000000000000 600000000000000
loop(\(x,i).((((x div 2) + x) + ((x * 2) * 2)) * 2),x,1)
A055276: 1 10 110 1210 13310 146410 1610510 17715610 194871710 2143588810 23579476910 259374246010 2853116706110 31384283767210 345227121439310 3797498335832410
(2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1))
A087893-A079169: 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0
loop(\(x,i).(x - (((x - ((i * x) * 2)) * 2) * 2)),x,1)
A147625: 1 5 65 1365 39585 1464645 65909025 3493178325 213083877825 14702787569925 1132114642884225 96229744645159125 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - ((2 + 1) * 2)) <= 0 then 1 else (2 + 2)) * x) + 1)
A173576: 1 2 3 4 5 6 7 29
(((2 + 2) + 1) mod (if ((x - 1) mod (2 + 2)) <= 0 then x else 1))
A243829: 0 0 0 0 0 0 0 0 0 5 0 0 0 5 0 0
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 2)),x,1)
A009972: 1 28 784 21952 614656 17210368 481890304 13492928512 377801998336 10578455953408 296196766695424 8293509467471872 232218265089212416 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i mod 2) * 2) - 1) - x) * (2 + 2)),x,1)
A084240: 1 0 ~4 20 ~84 340 ~1364 5460 ~21844 87380 ~349524 1398100 ~5592404 22369620 ~89478484 357913940
loop(\(x,i).((((x div 2) * (2 + 1)) + x) * (2 + 2)),x,1)
A093141: 1 4 40 400 4000 40000 400000 4000000 40000000 400000000 4000000000 40000000000 400000000000 4000000000000 40000000000000 400000000000000
loop(\(x,i).(x - ((((2 - x) div 2) - x) div (2 + 2))),x,1)
A003411: 1 2 3 4 6 8 11 15 21 29 40 55 76 105 145 200
((x + 2) - loop(\(x,i).(x - (i - (x mod (2 + 2)))),x,1))
A222011: 1 2 4 8
A118030: 1 2 4 8 12 16 20 28 36 44 52 64 76 88 100 116
((loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) + x) + 1)
A308807: 5 22 103 504 2505 12506 62507 312508 1562509 7812510 39062511 195312512 976562513 4882812514 24414062515 122070312516
loop(\(x,i).(i * x),x,((((x * x) div (2 + 2)) + x) + 1))
A052618: 1 2 8 36 216 1440 11520 100800 1008000 10886400 130636800 1676505600 23471078400 348713164800 5579410636800 94152554496000
(loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),2,x) + 1)
A044421: 89 189 289 389 489 589 689 789 889 989 1089 1189 1289 1389 1489 1589
(loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),2,x) - 1)
A067749: 87 187 287 387 487 587 687 787 887 987 1087 1187 1287 1387 1487 1587
((loop(\(x,i).((x - ((x * x) * 2)) * x),2,2) + x) + 1)
A296907: 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616
loop(\(x,i).(((i + 1) mod (2 + 1)) + ((x * 2) * 2)),x,1)
A037505: 1 6 24 97 390 1560 6241 24966 99864 399457 1597830 6391320 25565281 102261126 409044504 1636178017
loop(\(x,i).(((1 - i) mod (2 + 1)) + ((x * 2) * 2)),x,1)
A037497: 1 4 18 73 292 1170 4681 18724 74898 299593 1198372 4793490 19173961 76695844 306783378 1227133513
loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),x,1)
A037695: 1 6 27 108 433 1734 6939 27756 111025 444102 1776411 7105644 28422577 113690310 454761243 1819044972
loop(\(x,i).(((x - 1) mod (2 + 2)) + ((x * 2) * 2)),x,1)
A037681: 1 4 19 78 313 1252 5011 20046 80185 320740 1282963 5131854 20527417 82109668 328438675 1313754702
loop(\(x,i).(((i * i) * (x mod 2)) + ((x * 2) * 2)),x,1)
A112613: 1 5 24
A270126: 1 5 24 96 384 1536 6144 24576 98304 393216 1572864 6291456 25165824 100663296 402653184 1610612736
loop(\(x,i).((2 div ((x * x) - 2)) + ((x * 2) * 2)),x,1)
A055841: 1 2 9 36 144 576 2304 9216 36864 147456 589824 2359296 9437184 37748736 150994944 603979776
loop(\(x,i).((((x * 2) * (2 + 1)) - (x div 2)) * 2),x,1)
A170693-A170645-A170597-A170549-A170501-A170453-A170405-A170357-A170309-A170261-A170213-A170165-A170117-A170069-A170021-A169553-A169505-A169457-A169409-A169361-A169313-A169265-A169217-A169169-A169121-A169073-A169025-A168977-A168929-A168881-A168833-A168785-A168737-A168689-A167916-A003954: 1 12 132 1452 15972 175692 1932612 21258732 233846052 2572306572 28295372292 311249095212 3423740047332 37661140520652 414272545727172 4556998002998892
loop(\(x,i).(((((x * 2) * 2) * 2) - (x div 2)) * 2),x,1)
A170735-A170697-A170649-A170601-A170553-A170505-A170457-A170409-A170361-A170313-A170265-A170217-A170169-A170121-A170073-A170025-A169557-A169509-A169461-A169413-A169365-A169317-A169269-A169221-A169173-A169125-A169077-A169029-A168981-A168933-A168885-A168837-A168789-A168741-A168693-A167924: 1 16 240 3600 54000 810000 12150000 182250000 2733750000 41006250000 615093750000 9226406250000 138396093750000 2075941406250000 31139121093750000 467086816406250000
((((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) * 2) + x) - 1)
A092486: 3 2 1 4 7 6 5 8 11 10 9 12 15 14 13 16
loop(\(x,i).((x - (((2 - x) + 2) div (i + 2))) + 2),x,1)
A231408: 1 2 4 6 9
A075349: 1 2 4 6 9 12 15 19 23 27 31 36 41 46 51 56
(if x <= 0 then 1 else ((1 - ((x mod 2) * 2)) * ((2 - x) + 1)))
A248157: 1 ~2 1 0 ~1 2 ~3 4 ~5 6 ~7 8 ~9 10 ~11 12
loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) * 2),x,1)
A009970: 1 26 676 17576 456976 11881376 308915776 8031810176 208827064576 5429503678976 141167095653376 3670344486987776 95428956661682176 2481152873203736576 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) - 2),x,1)
A083077: 1 9 97 1065 11713 128841 1417249 15589737 171487105 1886358153 20749939681 228249336489 2510742701377 27618169715145 303799866866593 3341798535532521
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),x,1)
A009966: 1 22 484 10648 234256 5153632 113379904 2494357888 54875873536 1207269217792 26559922791424 584318301411328 12855002631049216 282810057883082752 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * (2 + 1)) - 1) * x) * 2),x,1)
A053103: 1 16 352 9856 335104 13404160 616591360 32062750720 1859639541760 119016930672640 8331185147084800 633170071178444800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (i + 1)) + 1) * x) * 2),x,1)
A053115: 1 18 468 15912 668304 33415200 1938081600 127913385600 9465590534400 776178423820800 69856058143872000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (i + 1)) - 1) * x) * 2),x,1)
A034912: 1 14 308 9240 351120 16151520 872182080 54075288960 3785270227200 295251077721600 25391592684057600 2386809712301414400 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div (((2 + 1) * 2) + 1)) + x),2,x) + 1)
A231272-A143719-A078779: 1 2 3 4 5 6 7 10 11 12 13 14 15 17 19 20
loop(\(x,i).((((((i mod 2) + 1) * 2) + 1) * x) * 2),x,1)
A281863: 1 10 60 600 3600 36000 216000 2160000 12960000 129600000 777600000 7776000000 46656000000 466560000000 2799360000000 27993600000000
loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * x) * 2),x,1)
A009978: 1 34 1156 39304 1336336 45435424 1544804416 52523350144 1785793904896 60716992766464 2064377754059776 70188843638032384 2386420683693101056 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) * 2) * (2 + 1)) + x) * 2),x,1)
A026915: 1 26 100 272 640 1400 2944 6056 12304 24824 49888 100040 200368 401048 802432 1605224
loop(\(x,i).(((((i + x) mod 2) * (2 + 1)) + x) * 2),x,1)
A283353: 1 2 4 14 28 62 124 254 508 1022 2044 4094 8188 16382 32764 65534
loop(\(x,i).((((((2 + 2) + 1) * i) + 1) * x) * 2),x,1)
A035265: 1 12 264 8448 354816 18450432 1143926784 82362728448 6753743732736 621344423411712 63377131187994624 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div ((i + 2) * (i + 1))) + x),2,x) + 1)
A163101-A059519: 1 2 3 4 5 6 8 9 10 11 12 14 16 17 18 19
loop(\(x,i).(x - ((((i mod (2 + 1)) mod 2) - x) div 2)),x,1)
A117791: 1 1 2 3 4 6 9 13 20 30 45 68 102 153 230 345
loop(\(x,i).(((2 - (i div ((0 - 2) - 2))) * x) div 2),x,1)
A275071: 1 1 1 1 1 2 4 8 16 40 100 250 625 1875 5625 16875
(loop(\(x,i).(0 - ((x div ((i + 2) + 2)) + x)),2,x) + 1)
A047309: 1 3 4 5 6 8 10 11 12 13 15 17 18 19 20 22
loop(\(x,i).((i + 1) * x),((((x div 2) + x) div 2) + x),1)
A093459: 1 2 24 720 40320 362880 39916800 6227020800
loop(\(x,i).((((((2 + 2) + 1) * i) + 2) * x) * 2),x,1)
A035273: 1 14 336 11424 502656 27143424 1737179136 128551256064 10798305509376 1015040717881344 105564234659659776 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * 2) * 2) + (i + 2)) * x),2,x) + 1)
A014771: 1 225 2025 8281 23409 53361 105625 189225 314721 494209 741321 1071225 1500625 2047761 2732409 3575881
(compr(\x.(loop(\(x,i).(i * x),(x div 2),1) mod (x + 2)),x) + 1)
A061743: 11 14 15 17 19 20 23 24 26 27 29 31 32 34 35 38
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)
A249427-A146886-A075728-A006093: 1 2 4 6 10 12 16 18 22 28 30 36 40 42 46 52
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - 1)
A086801: ~1 0 2 4 8 10 14 16 20 26 28 34 38 40 44 50
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 1)
A231407: 1 4 6
A165972: 1 4 6 10 12 16 18 22 28 30 36 40 42 46 52 58
loop(\(x,i).((((x + 2) * 2) * 2) + 1),((x + 2) * x),1)
A237419: 1 253 262141 4294967293 1125899906842621 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - 1),2) + ((x + 2) * x)) - 1)
A132072: 1 4 11 22 39 66 111 190 335 610 1143 2190 4263 8386 16607 33022
((loop(\(x,i).(i * x),x,1) + 1) mod (((x + 2) * x) + 1))
A301316: 0 2 3 7 0 13 35 49 64 81 11 1 0 57 1 1
loop(\(x,i).((x * x) * (x * 2)),1,(((x + 2) * x) + 1))
A106318: 2 128 1458 8192 31250 93312 235298 524288 1062882 2000000 3543122 5971968 9653618 15059072 22781250 33554432
loop(\(x,i).(((x * x) * x) div 2),1,(((x + 2) * x) + 1))
A191901: 0 32 364 2048 7812 23328 58824 131072 265720 500000 885780 1492992 2413404 3764768 5695312 8388608
loop(\(x,i).((i * i) * x),(x + 1),(((x + 2) * x) + 1))
A176128: 1 16 324 9216 360000 18662400 1244678400 104044953600 10666233446400 1316818944000000 192795461591040000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(x * 2)) * (((x + 2) * x) + 1))
A128985: 0 16 144 768 3200 11520 37632 114688 331776 921600 2478080 6488064 16613376 41746432 103219200 251658240
loop(\(x,i).(((((2 + 2) + 1) * i) * i) + (x + 2)),x,1)
A063489: 1 8 30 77 159 286 468 715 1037 1444 1946 2553 3275 4122 5104 6231
((loop(\(x,i).(i * x),x,(x + 1)) - ((x - 2) * x)) - 1)
A127065: 0 2 5 20 111 704 5015 40284 362831 3628736 39916719 479001500 6227020679 87178291056 1307674367831 20922789887804
loop(\(x,i).((((x mod 2) * i) * (2 + 1)) + (x * 2)),x,1)
A132479: 1 5 16 32 64 128 256 512 1024 2048
loop(\(x,i).((((i + 1) mod (x + 1)) mod 2) + (x * 2)),x,1)
A222011: 1 2 4 8
A267045: 1 2 4 8 17 34 69 138 277 554 1109 2218 4437 8874 17749 35498
loop(\(x,i).(((((x div 2) mod 2) + x) div 2) + (x * 2)),x,1)
A140832: 1 2 5 12 30 75 188 470 1175 2938 7345 18362 45905 114762 286905 717262
(((((x mod 2) * 2) * 2) * 2) - loop(\(x,i).(x * 2),x,1))
A166978: ~1 6 ~4 0 ~16 ~24 ~64 ~120 ~256 ~504 ~1024 ~2040 ~4096 ~8184 ~16384 ~32760
loop(\(x,i).((((x + 1) mod (2 + 1)) + x) + (x * 2)),x,1)
A037504: 1 5 15 46 140 420 1261 3785 11355 34066 102200 306600 919801 2759405 8278215 24834646
loop(\(x,i).((((x - 1) mod (2 + 1)) + x) + (x * 2)),x,1)
A037496: 1 3 11 34 102 308 925 2775 8327 24982 74946 224840 674521 2023563 6070691 18212074
loop(\(x,i).((((i + x) mod (2 + 1)) + x) + (x * 2)),x,1)
A037536: 1 5 16 49 149 448 1345 4037 12112 36337 109013 327040 981121 2943365 8830096 26490289
loop(\(x,i).((((x div (2 + 1)) mod 2) + x) + (x * 2)),x,1)
A188545: 1 3 10
A033121: 1 3 10 31 93 280 841 2523 7570 22711 68133 204400 613201 1839603 5518810 16556431
loop(\(x,i).(((((i + 1) * 2) + 1) * i) * (x * 2)),x,1)
A165457: 1 10 280 15120 1330560 172972800 31135104000 7410154752000 2252687044608000 851515702861824000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (i + 1)) + i) * (x * 2)),x,1)
A035277: 1 18 504 19152 919296 53319168 3625703424 282804867072 24886828302336 2438909173628928 263402190751924224 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x mod 2) * 2) * (2 + 1)) + (x div 2)),x,1)
A070392: 1 6 3 7 9 10 5 8 4 2 1 6 3 7 9 10
loop(\(x,i).((((2 + 2) + 1) * (x mod 2)) - (x div 2)),x,1)
A135448: 1 5 3 4 ~2 1 5 3 4 ~2 1 5 3 4 ~2 1
(((((x + 2) + 1) * x) div 2) + (if (x mod 2) <= 0 then x else 1))
A098001: 0 3 7 10 18
A265724: 0 3 7 10 18 21 33 36 52 55 75 78 102 105 133 136
((loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) + x) + 1)
A141742: 3 6 7 12 13 14 15 24 25 26 27 28 29 30
A004755: 3 6 7 12 13 14 15 24 25 26 27 28 29 30 31 48
loop(\(x,i).(x - ((x div ((i * 2) + 1)) - (i * 2))),x,1)
A025713: 1 3 7 12 19 28 38 50 64 79 96 114 134 156 179 204
loop(\(x,i).((((x div 2) div (2 + 1)) + x) + (i div 2)),x,1)
A218507: 1 1 2 3 5 7 11 15 21 28 37 48 62 78 98 121
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i mod 2)),x,1)
A266219: 1 11 110 1101 11010 110101 1101010 11010101 110101010 1101010101 11010101010 110101010101 1101010101010 11010101010101 110101010101010 1101010101010101
(loop(\(x,i).(((i * i) * 2) + x),(x + 1),0) * (x + 1))
A098077: 2 20 84 240 550 1092 1960 3264 5130 7700 11132 15600 21294 28420 37200 47872
(loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) * (x + 1))
A117412: 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 3000 3200
(if (((x * 2) div ((x div 2) + 2)) - 2) <= 0 then 0 else (x + 1))
A088001: 0 0 0 0 0 0 0 0 0 10 0 12 13 14 15 16
((x - (1 - (if (x - 1) <= 0 then (2 + 2) else 0))) * (x + 1))
A106230: 3 8 3 8 15 24 35 48 63 80 99 120 143 168 195 224
((0 - loop(\(x,i).((i * i) + x),(x div 2),0)) mod (x + 1))
A259748: 0 0 2 3 0 1 0 2 6 0 0 5 0 7 10 4
(loop(\(x,i).(x - ((1 - x) * (i * 2))),x,0) mod (x + 1))
A318623: 0 0 1 0 1 4 1 0 1 6 1 4 1 8 1 0
(loop(\(x,i).(((i + x) * (2 + 2)) + x),x,0) mod (x + 1))
A094920: 0 0 1 0 1 0 1 0 4 6 1 0 1 6 1 0
(loop(\(x,i).((((x * 2) + 1) * i) + x),x,0) div (x + 1))
A104255: 0 0 2 13 94 866 9652 126689 1914412 32736453 624968662 13176422634 304071291562 7623501667031 206342778454312 5996836998828457
(((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) * (x + 1))
A147601: 7 4 21 8 35 12 49 16 63 20 77 24 91 28 105 32
((loop(\(x,i).(((x * x) + 2) * 2),2,1) + 1) div (x + 1))
A033397: 77 38 25 19 15 12 11 9 8 7 7 6 5 5 5 4
(loop(\(x,i).i,((x + 1) div ((2 + 2) + 1)),1) * (x + 1))
A132029: 1 2 3 4 5 6 7 8 9 20 22 24 26 28 45 48
((if (2 - x) <= 0 then ((x + 1) div (2 + 1)) else 1) * (x + 1))
A132027: 1 2 3 4 5 12 14 16 27 30 33 48 52 56 75 80
(loop(\(x,i).i,((2 - x) mod ((x div 2) + 1)),1) mod (x + 1))
A345439: 0 1 1 1 1 1 1 3 4 3 4 3 4 3 4 3
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1) div (x + 1))
A129796: 6 18 72 324 1555 7776 39990 209952 1119744 6046617 32981550 181398528 1004668770 5597440292 31345665638 176319369216
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1) mod (x + 1))
A066604: 0 0 0 0 1 0 6 0 0 6 6 0 6 8 6 0
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),1) div (x + 1))
A129798: 8 32 170 1024 6553 43690 299593 2097152 14913080 107374182 780903144 5726623061 42288908760 314146179364 2345624805922 17592186044416
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),1) mod (x + 1))
A066439: 0 0 2 0 3 4 1 0 8 4 8 4 8 8 2 0
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) div (x + 1))
A129795: 5 12 41 156 625 2604 11160 48828 217013 976562 4438920 20345052 93900240 435965401 2034505208 9536743164
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) mod (x + 1))
A066603: 0 1 2 1 0 1 5 1 8 5 5 1 5 11 5 1
(((if (x - ((2 + 1) * 2)) <= 0 then 0 else 2) + 1) * (x + 1))
A142594: 1 2 3 4 5 6 7 24 27 30 33 36 39 42 45 48
(((x mod (if ((x div 2) - 2) <= 0 then 1 else 2)) + 1) * (x + 1))
A334953: 1 2 3 4 5 6 7 16 9 20 11 24 13 28 15 32
(loop(\(x,i).(((x * x) + 1) * (2 + 1)),2,1) * (x + 1))
A177769: 111 222 333 444 555 666 777 888 999 1110 1221 1332 1443 1554 1665 1776
(loop(\(x,i).(((x * 2) + 1) * (x + 1)),2,1) div (x + 1))
A033411: 91 45 30 22 18 15 13 11 10 9 8 7 7 6 6 5
(loop(\(x,i).((2 + 1) * x),((x + 1) * 2),1) div (x + 1))
A129799: 9 40 243 1640 11809 88573 683281 5380840 43046721 348678440 2852823600 23535794706 195528140640 1634056603925 13726075472976 115813761803240
(loop(\(x,i).((((x + 1) * x) + 1) * 2),2,1) div (x + 1))
A033406: 86 43 28 21 17 14 12 10 9 8 7 7 6 6 5 5
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) * (x + 1))
A065640: 1 2 3 4 5 6 7 16 9 10 11 12 13 14 15 32
((loop(\(x,i).(((x * x) * x) + 2),2,2) - 1) * (x + 1))
A153814: 1001 2002 3003 4004 5005 6006 7007 8008 9009 10010 11011 12012 13013 14014 15015 16016
loop(\(x,i).((i * i) + x),x,(((2 + 2) + 1) * (x + 1)))
A080957: 5 11 20 34 55 85 126 180 249 335 440 566 715 889 1090 1320
loop(\(x,i).((x + 1) * i),(x - ((2 + 2) + 1)),(x + 1))
A241947: 1 2 3 4 5 6 8 20
((loop(\(x,i).(((i + x) + 1) * x),2,2) - 1) div (x + 1))
A033407: 87 43 29 21 17 14 12 10 9 8 7 7 6 6 5 5
(loop(\(x,i).((x * x) * x),(2 + 1),(2 + 1)) mod (x + 1))
A240162: 0 1 0 3 2 3 6 3 0 7 9 3 1 13 12 11
(loop(\(x,i).(x * x),((x mod 2) + 1),(2 + 1)) mod (x + 1))
A066440: 0 1 0 1 4 3 2 1 0 1 9 9 9 11 9 1
(loop(\(x,i).((x - i) * x),(2 + 2),(2 + 1)) mod (x + 1))
A273650: 0 0 0 0 0 0 0 0 0 0 1 0 8 0 0 0
((if (x - 2) <= 0 then 1 else ((x + 2) * (2 + 1))) * (x + 1))
A124083: 1 2 3 60 90
((loop(\(x,i).((x * 2) * (2 + 1)),x,2) - 1) * (x + 1))
A224330: 1 22 213 1724 12955 93306 653177 4478968 30233079 201553910 1330255861 8707129332 56596340723 365699432434 2350924922865 15045919506416
((loop(\(x,i).(((x * 2) * 2) * 2),x,2) - 1) * (x + 1))
A224332: 1 30 381 4092 40955 393210 3670009 33554424 301989879 2684354550 23622320117 206158430196 1786706395123 15393162788850 131941395333105 1125899906842608
((if (2 - (x div (2 + 2))) <= 0 then (x + 2) else 1) * (x + 1))
A109752: 1 2 3 4 5 6 7 8 90
(loop(\(x,i).(x - ((i * x) * 2)),(x div 2),1) mod (x + 1))
A126868: 0 1 2 3 3 3 6 1 6 5 1 3 8 7 0 1
(loop(\(x,i).((x * x) * x),1,((x div 2) + 1)) * (x + 1))
A212759: 1 2 24 32 135 162 448 512 1125 1250 2376 2592 4459 4802 7680 8192
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) - 1) * (x + 1))
A224329: 1 18 147 996 6245 37494 218743 1249992 7031241 39062490 214843739 1171874988 6347656237 34179687486 183105468735 976562499984
((loop(\(x,i).(((i * 2) - 1) * x),x,2) - 1) mod (x + 1))
A058359: 0 1 2 1 4 5 6 5 8 9 10 5 12 13 14 13
(loop(\(x,i).(((x * 2) * (2 + 1)) + 1),x,1) mod (x + 1))
A094921: 0 1 1 3 0 1 1 3 7 5 1 7 1 7 10 3
(loop(\(x,i).((((x * 2) * 2) * 2) + 1),x,1) mod (x + 1))
A094923: 0 1 1 1 1 3 0 1 1 9 1 9 1 7 13 9
(loop(\(x,i).((x - (x div (2 + 1))) * 2),x,1) div (x + 1))
A274157: 1 1 1 1 1 2 2 2 3 4 4 6 7 9 11 14
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) div (x + 1))
A056159: 1 5 33 250 2000 16666 142857 1250000 11111111 100000000 909090909 8333333333 76923076923 714285714285 6666666666666 62500000000000
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod (x + 1))
A056968: 0 0 1 0 0 4 1 0 1 0 1 4 1 10 10 0
(loop(\(x,i).((((i * 2) - 1) * x) * 2),x,1) div (x + 1))
A001761: 1 1 4 30 336 5040 95040 2162160 57657600 1764322560 60949324800 2346549004800 99638080819200 4626053752320000 233153109116928000 4611686018427387903
(((loop(\(x,i).(x * 2),x,2) - 1) div (x + 1)) * (x + 1))
A162214: 1 2 6 12 30 60 126 248 504 1020 2046 4092 8190 16380 32760 65520
(loop(\(x,i).(x * x),((x * x) - 1),(x + 1)) * (x + 1))
A089210: 1 4 19683 4611686018427387903
(((loop(\(x,i).(x * 2),x,1) + x) div (x + 1)) * (x + 1))
A162213: 1 2 6 8 20 36 70 128 261 520 1034 2052 4108 8204 16395 32768
(((loop(\(x,i).(x * 2),x,2) + x) div (x + 1)) * (x + 1))
A128093: 2 4 9 16 35 66 133 256 513 1030 2057 4104 8203 16394 32775 65536
(loop(\(x,i).(((x mod 2) + 2) * x),x,(x + 1)) div (x + 1))
A092270: 1 2 9 8 81 32 729 128 6561 512 59049 2048 531441 8192 4782969 32768
(1 - ((1 - loop(\(x,i).((i * i) * x),x,1)) div (x + 1)))
A131811: 1 1 2 10 116
(2 - ((2 - ((x div 2) - (if x <= 0 then 0 else 2))) div (x + 1)))
A303370: 0 0 1 2 2 2 2 2 2 2 3 3 3 3 3 3
((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) * (x + 1))
A132031: 1 2 3 4 5 6 7 8 9 10 11 12 13 28 30 32
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) - 1),2,(x + 1))
A044322: 71 152 233 314 395 476 557 638 719 800 881 962 1043 1124 1205 1286
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) * (x + 1))
A132030: 1 2 3 4 5 6 7 8 9 10 11 24 26 28 30 32
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else 2) * (x + 1))
A309127-A132032: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 32
(loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)) * (x + 1))
A168651: 10000 20000 30000 40000 50000 60000 70000 80000 90000 100000 110000 120000 130000 140000 150000 160000
(loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)) div (x + 1))
A033422: 10000 5000 3333 2500 2000 1666 1428 1250 1111 1000 909 833 769 714 666 625
(loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)) mod (x + 1))
A067007-A066298: 0 0 1 0 0 4 4 0 1 0 1 4 3 4 10 0
((loop(\(x,i).(x * x),(2 + 1),(x + 1)) div 2) div (x + 1))
A191900: 0 64 1093 8192 39062 139968 411771 1048576 2391484 5000000 9743585 17915904 31374258 52706752 85429687 134217728
loop(\(x,i).((x * x) * (x + 1)),((x + 1) * 2),(x + 1))
A081357: 12 4611686018427387903
loop(\(x,i).(((x * x) * x) + 1),((x + 1) * 2),(x + 1))
A058472-A058454: 9 4611686018427387903
A058448: 9 4611686018427387903 4611686018427387903
A067487: 9 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * (x + 2)),((x + 1) * 2),(x + 1))
A110479: 45 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) + x),x,((x + 1) * 2)) * (x + 1))
A068605: 2 18 84 300 930 2646 7112 18360 45990 112530 270204 638820 1490762 3440430 7864080 17825520
(loop(\(x,i).((x * x) * x),1,((x + 1) div 2)) * (x + 1))
A212763: 0 2 3 32 40 162 189 512 576 1250 1375 2592 2808 4802 5145 8192
(((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) * (x + 1))
A061397: 0 2 3 0 5 0 7 0 0 0 11 0 13 0 0 0
loop(\(x,i).(x - (x div (((i + 2) * i) + 1))),2,(x + 1))
A100618: 1 2 3 3 4 5 6 6 7 8 8 8 9 10 11 11
(((if (x - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) * (x + 1))
A132028: 1 2 3 4 5 6 7 16 18 20 22 36 39 42 45 64
((loop(\(x,i).(((x * x) * x) + 2),2,2) - 2) * (x + 1))
A168650: 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 16000
((loop(\(x,i).(((x * x) * x) + 2),2,2) - 2) div (x + 1))
A033421: 1000 500 333 250 200 166 142 125 111 100 90 83 76 71 66 62
((loop(\(x,i).(((x * x) * x) + 2),2,2) - 2) mod (x + 1))
A324472: 0 0 1 0 0 4 6 0 1 0 10 4 12 6 10 8
(loop(\(x,i).(x * x),(2 + 1),((2 + 2) * 2)) div (x + 1))
A057070: 16777216 8388608 5592405 4194304 3355443 2796202 2396745 2097152 1864135 1677721 1525201 1398101 1290555 1198372 1118481 1048576
(if (2 - (x div (2 + 2))) <= 0 then ((2 + 2) * 2) else (x + 1))
A108922: 1 2 3 4 5 6 7 8 8 8 8 8 8 8 8 8
(loop(\(x,i).(x * x),(2 + 2),((2 + 2) * 2)) mod (x + 1))
A332055: 0 0 1 0 1 4 1 0 1 6 3 4 1 8 1 0
loop(\(x,i).(x * x),1,(2 - (((2 + 2) * 2) * (x + 1))))
A017138: 36 196 484 900 1444 2116 2916 3844 4900 6084 7396 8836 10404 12100 13924 15876
loop(\(x,i).(x * x),2,(2 - (((2 + 2) * 2) * (x + 1))))
A017140: 1296 38416 234256 810000 2085136 4477456 8503056 14776336 24010000 37015056 54700816 78074896 108243216 146410000 193877776 252047376
loop(\(x,i).((x - 2) * 2),(x - ((2 + 2) * 2)),(x + 1))
A322260: 1 2 3 4 5 6 7 8 9 16 32
(x - (loop(\(x,i).(1 - ((x * x) * 2)),2,2) * (x + 1)))
A157924: 97 195 293 391 489 587 685 783 881 979 1077 1175 1273 1371 1469 1567
(x - ((x div 2) - ((if x <= 0 then 1 else (2 + 2)) * (x + 1))))
A263941: 1 9 13 18 22 27 31 36 40 45 49 54 58 63 67 72
(2 - loop(\(x,i).(((x * x) * x) - 1),(2 + 2),(x + 1)))
A241570: 11 4611686018427387903
A257304: 11 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(2 - (x mod 2)),(2 + 2)) mod (x + 1))
A155836: 0 0 1 0 1 4 4 0 4 6 3 4 9 2 1 0
(((x div 2) + x) div (if (x mod 2) <= 0 then (2 + 2) else (x + 1)))
A084360: 0 0 0 1 1 1 2 1 3 1 3 1 4 1 5 1
(x - (loop(\(x,i).(1 - (x * x)),2,(2 + 2)) * (x + 1)))
A158227: 224 449 674 899 1124 1349 1574 1799 2024 2249 2474 2699 2924 3149 3374 3599
(x - (loop(\(x,i).((i - x) * x),2,(2 + 2)) * (x + 1)))
A158219: 168 337 506 675 844 1013 1182 1351 1520 1689 1858 2027 2196 2365 2534 2703
loop(\(x,i).(((2 + 2) + 1) * x),x,((2 + 2) * (x + 1)))
A212699: 4 40 300 2000 12500 75000 437500 2500000 14062500 78125000 429687500 2343750000 12695312500 68359375000 366210937500 1953125000000
((((if (x mod 2) <= 0 then x else (0 - x)) + 2) * 2) * (x + 1))
A270456: 4 4 24 ~8 60 ~36 112 ~80 180 ~140 264 ~216 364 ~308 480 ~416
(loop(\(x,i).((x - ((x * x) * 2)) * x),2,2) * (x + 1))
A096472: 3600 7200 10800 14400 18000 21600 25200 28800 32400 36000 39600 43200 46800 50400 54000 57600
((loop(\(x,i).((x * 2) * 2),x,(x + 2)) div 2) * (x + 1))
A038845: 1 12 96 640 3840 21504 114688 589824 2949120 14417920 69206016 327155712 1526726656 7046430720 32212254720 146028888064
(if x <= 0 then 1 else (x - (((1 - (x * 2)) * 2) div (x + 1))))
A053663: 1 2 4 6 7 8 10 11 12 13 14 15 16 17 18 19
(((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) + 2) mod (x + 1))
A211010: 0 1 2 3 4 3 2 3 4 3 2 3 4 3 2 3
(((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + (2 mod (x + 1)))
A048972: 1 2 5 6 7 9 10 11 12 13 14 15 16
((2 - ((if (x - (2 + 2)) <= 0 then 1 else x) mod 2)) * (x + 1))
A334733: 1 2 3 4 5 6 14 8 18 10 22 12 26 14 30 16
loop(\(x,i).((x div ((2 + 2) * (i + 1))) + x),2,(x + 1))
A082463: 1 2 3 4 5 6 7 9 10
A239289-A210490-A166155: 1 2 3 4 5 6 7 9 10 11 13 14 15 16 17 19
loop(\(x,i).(2 - ((x div ((2 + 2) * 2)) + x)),2,(x + 1))
A285432: 1 2 4 5 6 7 8 10 11 13 14 15 16 17 18 20
loop(\(x,i).((i - ((1 - (x * 2)) * 2)) * x),2,(x + 1))
A014772: 36 784 4356 14400 36100 76176 142884 246016 396900 608400 894916 1272384 1758276 2371600 3132900 4064256
((((if (x mod 2) <= 0 then 1 else (x + 2)) * x) + 2) * (x + 1))
A181427: 2 10 12 68 30 222 56 520 90 1010 132 1740 182 2758 240 4112
loop(\(x,i).(x * 2),x,((((x + 2) * x) * 2) * (x + 1)))
A128960: 0 24 192 960 3840 13440 43008 129024 368640 1013760 2703360 7028736 17891328 44728320 110100480 267386880
(loop(\(x,i).((i + 2) * x),(x + 1),(x + 2)) * (x + 1))
A200978: 6 72 720 7200 75600 846720 10160640 130636800 1796256000 26345088000 410983372800 6799906713600 118998367488000 2196892938240000 42682491371520000 870722823979008000
(loop(\(x,i).((x - (i - 1)) * x),2,(x + 2)) * (x + 1))
A208139: 12 144 720 2400 6300 14112 28224 51840 89100 145200 226512 340704 496860 705600 979200 1331712
(loop(\(x,i).((i * i) + x),x,0) - ((x + 2) * (x + 1)))
A167554: ~2 ~5 ~7 ~6 0 13 35 68 114 175 253 350 468 609 775 968
(loop(\(x,i).(((i div 2) + 1) * x),x,(x * 2)) div (x + 1))
A118364: 0 1 2 6 19 60
(if x <= 0 then 0 else (2 - (x mod (2 - ((x div 2) * (x + 1))))))
A294524: 0 1 2 3 6 7 15
loop(\(x,i).(((x - 1) * 2) * ((2 + 2) + 1)),x,(x + 1))
A033714: 1 10 190 2890 38890 488890 5888890 68888890 788888890 8888888890 98888888890 1088888888890 11888888888890 128888888888890 1388888888888890 14888888888888890
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),x,(x + 1))
A061650: 1 40 1200 32000 800000 19200000 448000000 10240000000 230400000000 5120000000000 112640000000000 2457600000000000 53248000000000000 1146880000000000000 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),x,(x + 1))
A027475: 1 30 675 13500 253125 4556250 79734375 1366875000 23066015625 384433593750 6343154296875 103797070312500 1686702392578125 27246730957031250 437893890380859375 4611686018427387903
loop(\(x,i).((i * x) - (((i mod 2) * 2) - 1)),x,(x + 1))
A334716: 1 1 5 20 105 644 4585 37134 337393 3399416 37622961 453769370 5924234041 83242063332 1252567177849 20096182035734
(loop(\(x,i).(x - (x div (i + 1))),(2 + 1),x) + (x + 1))
A225647: 1 3 4 6 7
A111909: 1 3 4 6 7 8 9 11 12 13 14 15 16 18 19 21
loop(\(x,i).(((i + 2) * x) * ((i + 2) + 1)),x,(x + 1))
A105187: 1 24 720 28800 1512000 101606400 8534937600 877879296000 108637562880000 15933509222400000 2734190182563840000 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + x) * 2) + x),(x - 1),x) + (x + 1))
A086972: 1 3 11 41 149 527 1823 6197 20777 68891 226355 738113 2391485 7705895 24712007 78918989
(loop(\(x,i).(((x div 2) + x) * x),(x - 1),x) + (x + 1))
A091409: 1 3 9 220
(((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)) + (x + 1))
A331009-A322341-A317621-A298297-A225580-A122620-A088450-A088380-A080676-A058183-A033061-A008727: 1 2 3 4 5 6 7 8 9 11 13 15 17 19 21 23
loop(\(x,i).((((i + 1) * x) * (i + 1)) div 2),x,(x + 1))
A203157: 1 4 27 288 4500 97200 2778300 101606400 4629441600 257191200000 17116074360000 1344389840640000 123067686661920000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + x) * x) div (i + 1)),2,x) + (x + 1))
A134393: 1 3 8 20 45 91 168 288 465 715 1056 1508 2093 2835 3760 4896
(loop(\(x,i).(((2 + 1) * x) + 2),(2 + 2),x) * (x + 1))
A157953: 80 322 726 1292 2020 2910 3962 5176 6552 8090 9790 11652 13676 15862 18210 20720
((loop(\(x,i).((x * 2) * 2),x,(2 + 2)) + x) div (x + 1))
A129788: 4 8 22 64 205 683 2341 8192 29128 104858 381301 1398102 5162221 19173962 71582789 268435456
((x + 1) div loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)))
A118827: 1 ~2 1 ~4 1 ~2 1 ~8 1 ~2 1 ~4 1 ~2 1 ~16
loop(\(x,i).((x * x) div 2),1,(((x + 2) * x) * (x + 1)))
A288959: 0 18 288 1800 7200 22050 56448 127008 259200 490050 871200 1472328 2384928 3726450 5644800 8323200
(((if (x mod 2) <= 0 then 1 else x) + ((x div 2) * x)) * (x + 1))
A204556: 1 2 9 24 45 90 133 224 297 450 561 792 949 1274 1485 1920
(x - (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))))
A129760: 0 0 2 0 4 4 6 0 8 8 10 8 12 12 14 0
loop(\(x,i).((((i * i) * (2 + 2)) - 1) * x),x,(x + 1))
A013299: 1 6 135 6300 496125 58939650 9833098275 2191376187000 628651043645625 225615874552818750 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(x div (((x mod 2) * 2) + 1)),x,x),(x + 1))
A191110: 1 3 5 9 11 15 17 27 29 33 35 45 47 51 53 81
loop(\(x,i).(((x div 2) div ((i + 2) + 1)) + x),x,(x + 1))
A281613: 1 2 3 4 5 6 7 9 11 13 15 17 19 21 23 27
((if x <= 0 then 2 else ((((2 + 2) * 2) + x) * x)) div (x + 1))
A189466: 2 4 6 8 9 10 12 13 14 15 16 17 18 19 20 21
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,x) mod (x + 1))
A066209: 0 0 2 0 0 2 6 0 8 0 10 8 12 4 5 0
loop(\(x,i).(((2 + 2) + 1) * x),x,((x * x) * (x + 1)))
A129005: 0 10 300 4500 50000 468750 3937500 30625000 225000000 1582031250 10742187500 70898437500 457031250000 2888183593750 17944335937500 109863281250000
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,x) * (x + 1))
A116165: 0 14 294 4116 48020 504210 4941258 46118408 415065672 3631824630 31072277390 261007130076 2159240803356 17633799894074 142426845298290 1139414762386320
loop(\(x,i).((x * x) div 2),1,(((x * x) * x) * (x + 1)))
A163276: 0 2 288 5832 51200 281250 1143072 3764768 10616832 26572050 60500000 127552392 252315648 473027282 847072800 1458000000
loop(\(x,i).(((((i + 1) * 2) + 1) * i) * x),x,(x + 1))
A327411: 1 10 210 7560 415800 32432400 3405402000 463134672000 79196028912000 16631166071520000 4207685016094560000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - 1) <= 0 then x else (((2 + 2) * (x - 1)) * (x - 1)))
A220788: 0 1 4 16
A055808: 0 1 4 16 36 64 100 144 196 256 324 400 484 576 676 784
(2 div (if ((x mod ((2 + 2) * 2)) - 2) <= 0 then 2 else (x - 1)))
A025447: 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0
(loop(\(x,i).((i * x) * (2 + 2)),(x - 2),x) * (x - 1))
A052670: 0 0 2 24 384 7680 184320 5160960 165150720 5945425920 237817036800 10463949619200 502269581721600 26118018249523200 1462609021973299200 4611686018427387903
(if (x - 2) <= 0 then (x + 1) else (((x - 2) * x) * (x - 1)))
A171708: 1 2 3 6 24
(loop(\(x,i).(((i * 2) + 1) * x),(x - 2),x) * (x - 1))
A161122: 0 0 2 18 180 2100 28350 436590 7567560 145945800 3101348250 72020198250 1814908995900 49332526343100 1438865351673750 44826189802143750
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),x,1)
A001029: 1 19 361 6859 130321 2476099 47045881 893871739 16983563041 322687697779 6131066257801 116490258898219 2213314919066161 42052983462257059 799006685782884121 4611686018427387903
loop(\(x,i).(((((i + 1) * 2) * (2 + 1)) + 1) * x),x,1)
A053100: 1 13 247 6175 191425 7082725 304557175 14923301575 820781586625 50067676784125 3354534344536375 244881007151155375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 1) * 2) * (2 + 1)) - 1) * x),x,1)
A034787: 1 11 187 4301 124729 4365515 178986115 8412347405 445854412465 26305410335435 1709851671803275 121399468698032525 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),x,1)
A009967: 1 23 529 12167 279841 6436343 148035889 3404825447 78310985281 1801152661463 41426511213649 952809757913927 21914624432020321 504036361936467383 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * i) * (2 + 1)) - 1) * x),x,1)
A049211: 1 8 136 3536 123760 5445440 288608320 17893715840 1270453824640 101636305971200 9045631231436800 886471860680806400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) - (i div (2 + 1))) + 1) * x),x,1)
A319950: 1 3 15 90 720 7200 79200 1029600 15444000 247104000 4447872000 88957440000 1868106240000 42966443520000 1074161088000000 27928188288000000
loop(\(x,i).(((((2 + 2) + 1) * (i + 1)) + 1) * x),x,1)
A051687: 1 11 176 3696 96096 2978976 107243136 4396968576 202260554496 10315288279296 577656143640576 35237024762075136 2325643634296958976 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (i + 1)) + 1) * x),x,1)
A053114: 1 17 425 14025 575025 28176225 1606044825 104392913625 7620682694625 617275298264625 54937501545551625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (i + 1)) - 1) * x),x,1)
A034975: 1 15 345 10695 417105 19603935 1078216425 67927634775 4822862069025 381006103452975 33147531000408825 3149015445038838375 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x mod (2 + 1)) + 1) * 2) + 1) * x),x,1)
A196661: 1 5 35 245 1715 12005 84035 588245 4117715 28824005 201768035 1412376245 9886633715 69206436005 484445052035 3391115364245
loop(\(x,i).((((((i * 2) * 2) + 1) * 2) + 1) * x),x,1)
A034909: 1 11 209 5643 197505 8492715 433128465 25554579435 1712156822145 128411761660875 10658176217852625 969894035824588875 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i * 2) + 1) * 2) * 2) + 1) * x),x,1)
A034911: 1 13 273 7917 292929 13181805 698635665 42616775565 2940557513985 226422928576845 19245948929031825 1789873250399959725 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i * 2) - 1) * 2) * 2) - 1) * x),x,1)
A144756: 1 3 33 627 16929 592515 25478145 1299385395 76663738305 5136470466435 385235284982625 31974528653557875 2909682107473766625 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 mod (x + 1)) + 2) * 2) + 1) * x),x,1)
A067403: 1 5 45 405 3645 32805 295245 2657205 23914845 215233605 1937102445 17433922005 156905298045 1412147682405 12709329141645 114383962274805
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) + 1) * x),x,1)
A009977: 1 33 1089 35937 1185921 39135393 1291467969 42618442977 1406408618241 46411484401953 1531578985264449 50542106513726817 1667889514952984961 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) - 1) * x),x,1)
A009975: 1 31 961 29791 923521 28629151 887503681 27512614111 852891037441 26439622160671 819628286980801 25408476896404831 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i mod 2) + 2) + 2) * 2) + 1) * x),x,1)
A090337: 1 11 99 1089 9801 107811 970299 10673289 96059601 1056655611 9509900499 104608905489 941480149401 10356281643411 93206534790699 1025271882697689
loop(\(x,i).((x div (((x - 1) mod (2 + 2)) + 1)) + x),x,1)
A140730: 1 2 3 4 5 10 15 20 25 50 75 100 125 250 375 500
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + x),x,1)
A199018: 1 16 181 1996 21961 241576 2657341 29230756 321538321 3536921536 38906136901 427967505916 4707642565081 51784068215896 569624750374861 6265872254123476
loop(\(x,i).((((i * x) * 2) * ((2 + 2) + 1)) + x),x,1)
A045757: 1 11 231 7161 293601 14973651 913392711 64850882481 5252921480961 478015854767451 48279601331512551 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) * 2) * ((2 + 2) + 1)) - x),x,1)
A049212: 1 9 171 4959 193401 9476649 559122291 38579438079 3047775608241 271252029133449 26853950884211451 2927080646379048159 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 2) * x) * ((2 + 2) + 1)) - x),x,1)
A051690: 1 14 266 6384 185136 6294624 245490336 10801574784 529277164416 28580966878464 1686277045829376 107921730933080064 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - 2),(((x div 2) - 2) - 1),x) + x) + 1)
A293703: 1 3 5 7 9 11 13 15 15 17 17 19 19 21 21 23
loop(\(x,i).(((i - ((1 - (i * 2)) * 2)) - 1) * x),x,1)
A084946: 1 2 14 168 2856 62832 1696464 54286848 2008613376 84361761792
A047055: 1 2 14 168 2856 62832 1696464 54286848 2008613376 84361761792 3965002804224 206180145819648 11752268311719936 728640635326636032 4611686018427387903 4611686018427387903
loop(\(x,i).((i - ((1 - (i * 2)) * (2 + 1))) * x),x,1)
A144827: 1 4 44 792 19800 633600 24710400 1136678400 60243955200 3614637312000 242180699904000 17921371792896000 1451631115224576000 4611686018427387903 4611686018427387903
loop(\(x,i).((i - ((2 - (i * 2)) * (2 + 1))) * x),x,1)
A045754: 1 1 8 120 2640 76560 2756160 118514880 5925744000 337767408000 21617114112000 1534815101952000 119715577952256000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * i) + (2 + 1)) * x),x,1)
A034300: 1 8 104 1872 43056 1205568 39783744 1511782272 65006637696 3120318609408 165376886298624 9591859405320192 604287142535172096 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,(((((x * x) + 1) * x) * x) + 1))
A219619: 1 3 42 546 6552 78120 959760 12353040 167771520 2410611840 36654508800 589291718400 10002032409600 178908534604800 3366215358105600 66496549287168000
loop(\(x,i).((((((2 + 1) * 2) + 1) * i) - 1) * x),x,1)
A049209: 1 6 78 1560 42120 1432080 58715280 2818333440 155008339200 9610517030400 663125675097600 50397551307417600 4182996758515660800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - (i + 1)) * x),x,1)
A306957: 1 10 90 720 5040 30240 151200 604800 1814400 3628800 3628800 0 0 0 0 0
loop(\(x,i).(((((i mod 2) * i) + 1) * (i + 1)) + x),x,1)
A140113: 1 5 8 24 29 65 72 136 145 245 256 400 413 609 624 880
loop(\(x,i).(((((i + 2) * 2) * 2) + (i - 1)) * x),x,1)
A051688: 1 12 204 4488 121176 3877632 143472384 6025840128 283214486016 14727153272832 839447736551424 52045759666188288 3487065897634615296 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * i) * i) * (i * i)) + 1) * x),x,1)
A255435: 1 2 66 16104 16506600 51599631600 401290334953200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x mod (2 + 2)) + ((2 + 1) * 2)) * x),x,1)
A270472: 1 7 63 567 5103 45927 413343 3720087 33480783 301327047 2711943423 24407490807 219667417263 1977006755367 17793060798303 160137547184727
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + 2) * x),x,1)
A136308: 1 11 1111 11111111 1111111111111111 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * i) * (2 + 1)) + 2) * x),x,1)
A035012: 1 11 220 6380 242440 11394680 638102080 41476635200 3069271004800 254749493398400 23436953392652800 2367132292657932800 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * i) * (2 + 1)) - 2) * x),x,1)
A147631: 1 7 112 2800 95200 4093600 212867200 12984899200 908942944000 71806492576000 6318971346688000 612940220628736000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 2) * (i + 1)) div 2) + x),x,1)
A005286: 1 6 15 29 49 76 111 155 209 274 351 441 545 664 799 951
loop(\(x,i).(((((i mod 2) + 2) * (i + 1)) div 2) + x),x,1)
A111710: 1 4 7 13 18 27 34 46 55 70 81 99 112 133 148 172
loop(\(x,i).(((((x div 2) div (2 + 1)) mod 2) + 2) * x),x,1)
A222011: 1 2 4 8
A290859: 1 2 4 8 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152
loop(\(x,i).((((((x div 2) + 1) div 2) mod 2) + 2) * x),x,1)
A202337: 1 2 6 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292
(((loop(\(x,i).(((x * x) - 1) * 2),2,2) * x) * x) + 1)
A158734: 1 71 281 631 1121 1751 2521 3431 4481 5671 7001 8471 10081 11831 13721 15751
loop(\(x,i).((i - (((1 - i) * (2 + 2)) * 2)) * x),x,1)
A144772-A045756: 1 1 10 190 5320 196840 9054640 498005200 31872332800 2326680294400 190787784140800 17361688356812800 1736168835681280000 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((x + 1) * x) + 2),2,2) * x) * x) + 1)
A158742: 1 75 297 667 1185 1851 2665 3627 4737 5995 7401 8955 10657 12507 14505 16651
((((loop(\(x,i).((x + 2) * x),2,2) - 2) * x) * x) + 1)
A158769: 1 79 313 703 1249 1951 2809 3823 4993 6319 7801 9439 11233 13183 15289 17551
loop(\(x,i).(((((2 + 2) mod (x + 2)) + 2) + 2) * x),x,1)
A067412: 1 5 40 320 2560 20480 163840 1310720 10485760 83886080 671088640 5368709120 42949672960 343597383680 2748779069440 21990232555520
loop(\(x,i).((i - (((1 - (i * 2)) * 2) * 2)) * x),x,1)
A147629: 1 5 70 1610 51520 2112320 105616000 6231344000 423731392000 32627317184000 2805949277824000 266565181393280000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x div (i + 2)) mod 2) + x) * 2) + x),x,1)
A018361: 1 3 9 29 87 261
loop(\(x,i).((((((2 + 1) * 2) + 1) * i) + 2) * x),x,1)
A034829: 1 9 144 3312 99360 3676320 161758080 8249662080 478480400640 31101226041600 2239288274995200 176903773724620800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 1) * 2) + 1) * i) - 2) * x),x,1)
A147585: 1 5 60 1140 29640 978120 39124800 1838865600 99298742400 6057223286400 411891183475200 30891838760640000 2533130778372480000 4611686018427387903 4611686018427387903
loop(\(x,i).((i - ((2 - ((2 + 1) * i)) * 2)) * x),x,1)
A144739: 1 3 30 510 12240 379440 14418720 648842400 33739804800 1990648483200 131382799891200 9590944392057600 767275551364608000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i + 1) * i) + 2) * i) div 2) + x),x,1)
A144335: 1 3 11 32 76 156 288 491 787 1201 1761 2498 3446 4642 6126 7941
loop(\(x,i).((((((i - 1) * i) + 2) * i) div 2) + x),x,1)
A181490: 1 2 6 18
A308305: 1 2 6 18 46 101 197 351 583 916 1376 1992 2796 3823 5111 6701
loop(\(x,i).((i - ((x div (i + 1)) * (i * 2))) + x),x,1)
A085059: 1 2 4 1 5 10 4 11 3 12 2 13 1 14 28 13
loop(\(x,i).((((((i * 2) - 1) + i) * i) div 2) * x),x,1)
A084939: 1 1 5 60 1320 46200 2356200 164934000 15173928000 1775349576000 257425688520000 45306921179520000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),(x * x),1)
A078354: 1 20 160000 512000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(x * x),1)
A078185: 1 15 50625 38443359375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),(x * x),1)
A078352: 1 18 104976 198359290368 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * 2) - (x div (2 + 2))) + 2),(x * x),1)
A008137: 1 4 9 17 28 42 60 81 105 132 162 196 233 273 316 362
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(x * x),1)
A073940: 1 14 38416 20661046784 2177953337809371136 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - 1),(x + 2)) - (x * x)) - 1)
A339032: 1 1 3 10 31 86 219 526 1215 2734 6043 13190 28527 61270 130875 278302
((loop(\(x,i).((x * x) - 1),2,(x + 2)) - (x * x)) + 1)
A269641: 9 63 221 567 1209 2279 3933 6351 9737 14319 20349 28103 37881 50007 64829 82719
(loop(\(x,i).((x * 2) - (i mod 2)),(x - 2),(x * x)) + 1)
A068000: 1 2 5 18 63
((if (x - 2) <= 0 then 1 else ((x * 2) + 1)) * ((x * x) + 1))
A175169: 1 2 5 70
(loop(\(x,i).(x * 2),((x - 1) div 2),x) div ((x * x) + 1))
A206558: 0 0 0 0 0 0 0 1 0 1 1 2 2 4 4 8
(loop(\(x,i).((2 + 1) * x),(x * 2),x) * ((x * x) + 1))
A128074: 0 18 810 21870 446148 7676370 117979902 1674039150 22384294920 285916320882 3521652245010 42113381995278 491427393476940 5617523480607090 63094193590782438 697970937800860110
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x * x),1)
A076811: 1 13 28561 10604499373 665416609183179841 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x * x),1)
A076783: 1 11 14641 2357947691 45949729863572161 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(x * x),1)
A078351: 1 17 83521 118587876497 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 2) <= 0 then 1 else ((x * x) * x)) * (x * x)) + 1)
A175977: 1 2 5 244
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,x) + 1)
A064749: 1 12 243 3994 58565 805256 10629367 136410198 1714871049 21221529220 259374246011 3138428376722 37661140520653 448795257871104 5316497670165375 62658722541234766
loop(\(x,i).((((i + x) * x) div (2 + 2)) + (x * x)),x,1)
A319640: 1 1 1 2 7 70
(loop(\(x,i).((x - (i - 1)) * x),2,((x * x) * x)) + 1)
A060896: 1 1 4033 530713 16773121 244125001 2176735681 13841169553 68719214593 282429005041 999999000001 3138426605161 8916097462273 23298080295673 56693904845761 129746326500001
(loop(\(x,i).((x div ((i * 2) - 1)) + x),(x * x),x) + 1)
A000960: 1 3 7 13 19 27 39 49 63 79 91 109 133 147 181 207
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * i) * x),x,1)
A196258: 1 11 242 7986 351384 19326120 1275523920 98215341840 8642950081920 855652058110080 94121726392108800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (i + 1)) + 1) * i) * x),x,1)
A302914: 1 9 234 11934 1002456 125307000 21803418000 5036589558000 1490830509168000 550116457882992000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (i - 1)) + 1) * i) * x),x,1)
A084943: 1 1 10 270 14040 1193400 150368400 26314470000 6104957040000 1813172240880000 670873729125600000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) + 1) * (2 + 1)) + i) * x),x,1)
A034830: 1 10 170 4080 126480 4806240 216280800 11246601600 663549494400 43794266630400 3196981464019200 255758517121536000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 1) * 2) * (2 + 1)) + i) * x),x,1)
A034833: 1 13 260 7020 238680 9785880 469722240 25834723200 1601752838400 110520945849600 8399591884569600 697166126419276800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (i + 1)) + i) * x),x,1)
A035022: 1 17 442 15470 680680 36076040 2236714480 158806728080 12704538246400 1130703903929600 110808982585100800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (i + 1)) - i) * x),x,1)
A053104: 1 15 330 9570 344520 14814360 740718000 42220926000 2702139264000 191851887744000 14964447244032000 1271978015742720000 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * (i + 1)) div 2) + i) + x),x,1)
A008778: 1 5 13 26 45 71 105 148 201 265 341 430 533 651 785 936
loop(\(x,i).((((((i * 2) + 1) * 2) * 2) + i) * x),x,1)
A035017: 1 13 286 8866 354640 17377360 1007886880 67528420960 5132159992960 436233599401600 41005958343750400 4223613709406291200 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i * 2) + 1) * 2) * 2) - i) * x),x,1)
A034831: 1 11 198 4950 158400 6177600 284169600 15060988800 903659328000 60545174976000 4480342948224000 362907778806144000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - ((1 - i) * (2 + 2))) * i) * x),x,1)
A276482: 1 1 12 396 25344 2661120 415134720 90084234240 25944259461120 9573431741153280 4403778600930508800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) - loop(\(x,i).((((x div 2) mod 2) + i) - x),x,1))
A275380: 0 2 1 2 2 3 3 5 3 6
loop(\(x,i).((((i * i) * i) * ((i * i) * i)) - x),x,1)
A187620: 1 0 64 665 3431 12194 34462 83187 178957 352484 647516 1124045 1861939 2964870 4564666 6825959
loop(\(x,i).(((x * x) mod (((x * 2) * 2) + 1)) * i),x,1)
A039748: 1 1 2 12 184
loop(\(x,i).(x - ((((x div (i + 2)) * 2) - 1) * i)),x,1)
A139696: 1 2 4 7 3 8 2 9 17 8 18 7 19 6 20 5
((x - (if (((2 + 2) * 2) mod (x + 1)) <= 0 then 1 else 0)) mod 2)
A173856: 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1
((x - (if ((x div (2 + 1)) mod (2 + 2)) <= 0 then 1 else 0)) mod 2)
A117195: 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1
((x - (if ((x div (0 - 2)) mod (2 + 2)) <= 0 then 1 else 0)) mod 2)
A141735: 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0
(((2 + 1) * x) - (if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2))
A187334: 0 1 4 7 10 15 16 19 22 25 30 31 34 37 40 45
(loop(\(x,i).((((i * i) + 2) * i) - x),(x + 1),0) * 2)
A248462: 6 18 48 96 174 282 432 624 870 1170 1536 1968 2478 3066 3744 4512
((x - loop(\(x,i).((i * x) - (x + 1)),(x - 1),0)) + 2)
A046689: 2 3 5 7 11 23
(((x + 1) div 2) - (if (x - ((2 + 1) * 2)) <= 0 then 0 else 2))
A332249: 0 1 1 2 2 3 3 2 2 3 3 4 4 5 5 6
(((x + 1) div 2) - (if ((x div (2 + 1)) - 2) <= 0 then 0 else 2))
A340320: 0 1 1 2 2 3 3 4 4 3 3 4 4 5 5 6
((if (x mod (((2 + 2) * 2) + 1)) <= 0 then (x div 2) else 0) + 2)
A250201: 2 2 2 2 2 2 2 2 2 6 2 2 2 2 2 2
((if (x mod ((x mod (2 + 2)) + 2)) <= 0 then (x mod 2) else 0) + 2)
A104230: 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3
(x - ((if x <= 0 then 1 else ((x * x) * (2 + 1))) div (0 - 2)))
A227017: 1 3 8 17 28 43 60 81 104 131 160 193 228 267 308 353
(1 - (x div ((if (x - (2 + 2)) <= 0 then 1 else 2) * (0 - 2))))
A226390: 1 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5
(x mod (if (x mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else (0 - 2)))
A228109: 0 ~1 0 ~1 0 ~1 0 ~1 0 1 0 ~1 0 ~1 0 1
((x + 2) - (if x <= 0 then 1 else ((x div (2 + 2)) div (0 - 2))))
A171520: 1 3 4 5 7 8 9 10 11 12 13 14 16 17 18 19
((if x <= 0 then 1 else 2) - ((((x div 2) + x) div 2) div (0 - 2)))
A196376: 1 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8
((if x <= 0 then 1 else (x * 2)) - (((x + 2) * x) div (0 - 2)))
A265284: 1 4 8 14 20 28 36 46 56 68 80 94 108 124 140 158
loop(\(x,i).(i * x),x,((x div (0 - 2)) * (x div (0 - 2))))
A145889: 0 1 2 24 96 1080 6480 80640 645120 9072000 90720000 1437004800 17244057600 305124019200 4271736268800 83691159552000
((if x <= 0 then 1 else ((x * 2) * 2)) - ((x * x) div (0 - 2)))
A307028: 1 5 10 17 24 33 42 53
(loop(\(x,i).(((x div (i + 1)) + x) + (2 + 1)),x,0) div 2)
A060606: 0 1 3 5 8 10 13 16 19 22 26 29 33 36 40 44
(x - (((x div (2 + 1)) - (if (x - 1) <= 0 then x else 0)) * 2))
A047878: 0 3 2 1 2 3 2 3 4 3 4 5 4 5 6 5
(x - (((x div (2 + 2)) - (if (x - 1) <= 0 then x else 0)) * 2))
A018837: 0 3 2 3 2 3 4 5 4 5 6 7 6 7 8 9
(loop(\(x,i).(((i * i) + (x - 2)) * (i + 1)),x,0) div 2)
A076128: 0 ~1 0 14 105 699 5012 40284 362835 3628745 39916734 479001522 6227020709 87178291095 1307674367880 20922789887864
((x mod (((2 + 2) + 1) - (if (x mod 2) <= 0 then x else 0))) mod 2)
A116865: 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0
(((((x * x) - 1) div 2) mod (2 + 2)) + (if x <= 0 then 0 else 2))
A134267: 3 2 3 2 5 2 3 2 5 2 3 2 5 2 3 2
(loop(\(x,i).((i - (((x mod 2) - x) * 2)) + x),x,0) div 2)
A178828: 0 0 1 5 17 53 162 490 1474 4426 13283 39855 119571 358719 1076164 3228500
(loop(\(x,i).((((i + 2) + 1) * (i + 2)) + x),x,0) div 2)
A092286: 0 6 16 31 52 80 116 161 216 282 360 451 556 676 812 965
(loop(\(x,i).((((i + x) * (i + 1)) + x) + x),x,0) div 2)
A079754: 0 1 8 54 388 3119 28092 280948 3090464 37085613 482113024 6749582402 101243736108 1619899777819 27538296223028 495689332014624
((x - (if ((x div 2) mod ((2 + 2) + 1)) <= 0 then 0 else 1)) mod 2)
A284912-A192082: 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0
((x mod 2) - (if ((x div (2 + 1)) mod 2) <= 0 then (0 - 1) else 2))
A057079: 1 2 1 ~1 ~2 ~1 1 2 1 ~1 ~2 ~1 1 2 1 ~1
((loop(\(x,i).((x - 1) mod ((i + 1) * 2)),x,0) + 1) * 2)
A028352: 2 8 6 4 2 24 22 20 18 16 14 12 10 8 6 4
(1 - ((2 mod (loop(\(x,i).((1 - x) * 2),x,0) + 1)) div 2))
A282577: 1 0 1 0 5 0 21 0 85 0 341 0 1365 0 5461 0
((((x + 1) mod ((2 + 2) + 1)) + (if x <= 0 then 0 else 1)) mod 2)
A286987: 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0
(((((x + 1) div 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) mod 2)
A138886: 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1
(if (((x * x) mod ((x div (2 + 1)) + 1)) - 1) <= 0 then 1 else 2)
A326952: 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2
(if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 2)
A175044: 1 1 1 2 1 2 1 2 2 1 2 2 1 2 2 2
(if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 2)
A295660-A193453-A193169: 1 1 1 1 1 1 2 1 2 1 2 1 2 2 1 1
(if (x mod ((x div (((x mod 2) + 2) + 1)) + 1)) <= 0 then 1 else 2)
A107800: 1 1 1 1 1 2 1 2 2 1 2 2 2 2 2 2
(if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 1 else 2)
A345935: 1 1 1 1 1 2 1 2 1 2 1 2 1 2 2 1
(if (x mod ((((2 + 1) * 2) mod (x + 1)) + 1)) <= 0 then 1 else 2)
A043558: 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 2
(x - ((if x <= 0 then 0 else ((x mod ((0 - 2) - 1)) + 1)) * 2))
A165958: 0 3 2 1 6 5 4 9 8 7
(if (x mod (((x div ((2 + 2) + 1)) * 2) - 1)) <= 0 then 1 else 2)
A119646: 1 1 1 1 1 1 1 1 1 1 2 2 1 2 2 1
(if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 1 else 2)
A275437: 1 2 2 1 2 2 2 2 1 2 2 2 2 2 2 1
(loop(\(x,i).(x * 2),(x - (((2 + 1) * 2) + 1)),1) div 2)
A009694: 0 0 0 0 0 0 0 0 1 2 4 8 16 32 64 128
((x + 1) mod (if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2))
A174275: 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0
(if (x mod (x - ((x mod ((2 + 1) * 2)) - 1))) <= 0 then 1 else 2)
A298071: 1 1 1 1 1 1 2 1 2 2 2 2 2 1 2 2
((x + 1) mod (if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 1 else 2))
A285301: 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 1 else 2)
A001285: 1 2 2 1 2 1 1 2 2 1 1 2 1 2 2 1
(((if x <= 0 then 1 else x) div ((x div ((2 + 2) + 1)) + 1)) mod 2)
A140820: 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1
(if ((x - (2 + 2)) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2)
A240471: 1 1 1 1 1 2 1 2 2 2 1 2 1 2 2 2
(if (((x * 2) * 2) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2)
A109672: 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 1
(if (((x + 2) mod ((x * 2) - 1)) mod (2 + 1)) <= 0 then 1 else 2)
A074265: 1 1 2 1 1 2 2 1 2 2 1 2 2 1 2 2
(((x + 1) mod (((if x <= 0 then 0 else 2) * (2 + 1)) + 1)) mod 2)
A144606-A144598: 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0
(if x <= 0 then 1 else (((((x + 1) div 2) div (2 + 1)) + 1) * 2))
A131883: 1 2 2 2 2 4 4 4 4 4 4 6 6 6 6 6
(if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 2)
A014675: 2 1 2 2 1 2 1 2 2 1 2 2 1 2 1 2
(if (((1 - x) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 2)
A006340: 2 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2
(if (((2 - x) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 2)
A246127-A245977: 2 2 1 2 1 2 2 1 2 2 1 2 1 2 2 1
(loop(\(x,i).(x * x),x,(((2 + 2) * (2 + 1)) + 1)) + 2)
A152586: 15 171 28563 815730723 665416609183179843 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),x,(((2 + 2) * (2 + 1)) - 1)) + 2)
A152583: 13 123 14643 214358883 45949729863572163 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017546: 4 196 676 1444 2500 3844 5476 7396 9604 12100 14884 17956 21316 24964 28900 33124
loop(\(x,i).(x * x),2,((((x * 2) * (2 + 1)) + 1) * 2))
A017548: 16 38416 456976 2085136 6250000 14776336 29986576 54700816 92236816 146410000 221533456 322417936 454371856 623201296 835210000 1097199376
(if x <= 0 then 1 else (((((x * x) * 2) * (2 + 1)) + 1) * 2))
A005914: 1 14 50 110 194 302 434 590 770 974 1202 1454 1730 2030 2354 2702
(((x - 2) mod ((if x <= 0 then 2 else (x div (2 + 1))) + 1)) mod 2)
A285252: 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1
((if x <= 0 then 1 else ((x * x) mod ((x div (2 + 1)) + 1))) mod 2)
A266344: 1 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1
(((((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) - 1) * 2)
A130772: 2 2 0 ~2 ~2 0 2 2 0 ~2 ~2 0 2 2 0 ~2
(if ((x + 1) mod (((2 + 2) mod (x + 2)) + 1)) <= 0 then 1 else 2)
A297772-A043531: 1 1 1 2 1 2 2 2 2 1 2 2 2 2 1 2
(if (((x - (2 + 1)) * 2) mod ((x div 2) + 1)) <= 0 then 1 else 2)
A320107: 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 1
((loop(\(x,i).(i * x),x,(((2 + 1) * x) + 1)) + 1) div 2)
A066114: 1 2 7 30 156 960 6840 55440 504000 5080320 56246400 678585600 8861529600 124540416000 1874333260800 30076510464000
((loop(\(x,i).(((i + 1) * i) + (x * 2)),x,1) + 1) div 2)
A335927: 1 2 7 20 50 115 251 530 1096 2237 4529 9124 18326 36743 73591 147302
(((loop(\(x,i).(x * x),2,(x + 1)) * (x + 1)) + 1) div 2)
A191484: 1 16 122 512 1563 3888 8404 16384 29525 50000 80526 124416 185647 268912 379688 524288
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) + 2)
A133384: 12 102 1002 10002 100002 1000002 10000002 100000002 1000000002 10000000002 100000000002 1000000000002 10000000000002 100000000000002 1000000000000002 10000000000000002
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2)
A099150: 8 98 998 9998 99998 999998 9999998 99999998 999999998 9999999998 99999999998 999999999998 9999999999998 99999999999998 999999999999998 9999999999999998
(loop(\(x,i).((((i div 2) mod 2) + x) * 2),(x + 1),1) * 2)
A102653: 4 12 28 56 112 228 460 920 1840 3684 7372 14744 29488 58980 117964 235928
(((loop(\(x,i).(x * 2),(x - 1),x) div (x + 1)) + 1) div 2)
A340163: 0 0 1 2 3 7 14 28 57 115 233 469 945 1902 3823 7680
((loop(\(x,i).((((i * i) * i) + 1) * x),x,1) + 1) div 2)
A256019: 1 1 9 252 16380 2063880 447861960 154064514240 79035095805120 57695619937737600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x mod ((if ((2 - x) mod (2 + 2)) <= 0 then 0 else 2) + 1)) div 2)
A316359: 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0
((x div (if (x mod 2) <= 0 then (2 + 2) else ((0 - 2) - 1))) mod 2)
A123640: 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1
(if (x mod (2 + 1)) <= 0 then 1 else ((x div ((0 - 2) - 1)) * 2))
A138189: 1 ~2 ~2 1 ~4 ~4 1 ~6 ~6 1 ~8 ~8 1 ~10 ~10 1
((x mod (((if (x mod (2 + 2)) <= 0 then x else 0) - 2) - 1)) mod 2)
A083913-A083890: 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0
(if ((x mod ((2 - (x div (0 - 2))) + 1)) - 2) <= 0 then 1 else 2)
A080586: 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2
((if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1) + 2)
A276870-A063438: 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3
(if ((x mod (((x mod (2 + 1)) * 2) + 1)) - 2) <= 0 then 1 else 2)
A339790-A331295-A325133-A324907-A262618-A257743-A046597-A033272: 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1
(((((loop(\(x,i).(x * 2),x,1) + 2) + 1) * 2) + 1) * 2)
A250737: 18 22 30 46 78 142 270 526 1038 2062 4110 8206 16398 32782 65550 131086
(if ((x * x) mod ((x mod ((2 + 2) + 1)) + 2)) <= 0 then 1 else 2)
A214708-A083952: 1 2 1 2 2 2 1 2 2 2 1 2 1 2 2 2
(if x <= 0 then 1 else ((((((x * 2) * 2) - 1) * 2) - 1) * 2))
A113770: 1 10 26 42 58 74 90 106 122 138 154 170 186 202 218 234
(if x <= 0 then 1 else (((x + 2) div (((2 + 1) * 2) + 1)) + 2))
A083277: 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4
((if (x - 2) <= 0 then 1 else (x div (((2 + 1) * 2) + 1))) mod 2)
A266659: 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0
(if ((x div (2 + 2)) - (x mod ((2 + 1) * 2))) <= 0 then 1 else 2)
A184167: 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 1
((loop(\(x,i).((x div 2) + x),x,((2 + 1) * 2)) + 1) div 2)
A140261: 3 5 7 10 14 21 32 47 71 106 158 237 356 533 800 1199
(if (x mod 2) <= 0 then 1 else ((((x mod (2 + 1)) div 2) + 1) * 2))
A235918-A071222: 1 2 1 2 1 4 1 2 1 2 1 4 1 2 1 2
((((x div 2) + 2) div (if (x mod (2 + 1)) <= 0 then 2 else 1)) mod 2)
A068426: 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0
((if x <= 0 then 1 else (x mod ((((x div 2) + 1) div 2) + 1))) mod 2)
A121559: 1 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0
(((loop(\(x,i).(((x + 2) + 1) * 2),x,1) * 2) + 1) * 2)
A305164: 6 34 90 202 426 874 1770 3562 7146 14314 28650 57322 114666 229354 458730 917482
((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2)
A340831-A334862-A087436: 0 0 1 0 1 1 1 0 2 1 1 1 1 1 2 0
((if ((x div 2) mod (2 + 1)) <= 0 then ((x - 1) div 2) else 1) mod 2)
A267922: 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1
((x mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)) mod 2)
A189572: 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0
(if ((x mod (2 - ((x div 2) div (0 - 2)))) - 2) <= 0 then 1 else 2)
A336137: 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2
(2 - (if x <= 0 then 1 else ((x mod (((0 - 2) - 2) - 1)) mod 2)))
A022921: 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2
(2 - (((x + 1) div (((if x <= 0 then 0 else 2) * 2) + 1)) mod 2))
A126061: 1 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1
(x div ((if (x - (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + 2))
A308303: 0 0 0 0 1 1 1 1 2 2 2 3 4 4 4 5
(if (((x * 2) mod ((x div (2 + 1)) + 2)) - 2) <= 0 then 1 else 2)
A328511-A202053: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1
(if ((x mod (2 - (x mod ((0 - 2) - 2)))) - 2) <= 0 then 1 else 2)
A339095-A186006: 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1
(loop(\(x,i).(x * x),x,((((2 + 2) * 2) * 2) + 1)) + 2)
A152591: 19 291 83523 6975757443 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),x,((((2 + 2) * 2) * 2) - 1)) + 2)
A152588: 17 227 50627 2562890627 4611686018427387903 4611686018427387903 4611686018427387903
(if (((x + 2) mod ((x div (2 + 2)) + 2)) - 2) <= 0 then 1 else 2)
A097588: 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1
(if ((x mod (x - ((x + 1) mod (2 + 2)))) - 2) <= 0 then 1 else 2)
A263025: 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1
(if x <= 0 then 1 else (((x - 1) mod (((2 + 2) * 2) + 1)) + 2))
A117230: 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7
((x + 2) - loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),2))
A103303: 0 1 2 3 4 5 6 7 8 9
A262039-A262037: 0 1 2 3 4 5 6 7 8 9 11 11 11 11 11 11
(((if x <= 0 then 1 else (x * x)) mod (((2 + 2) * 2) + 1)) mod 2)
A142724: 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0
(loop(\(x,i).((i div 2) + x),(x - ((2 + 2) * 2)),1) div 2)
A309831: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6
(if (x - 2) <= 0 then 1 else (((x div ((2 + 2) * 2)) + 1) * 2))
A295101: 1 1 1 2 2 2 2 2 4 4 4 4 4 4 4 4
((x mod (2 + 1)) div (if (x mod ((2 + 2) * 2)) <= 0 then 1 else 2))
A191265-A007949: 0 0 1 0 0 1 0 0 2 0 0 1 0 0 1 0
((((if x <= 0 then 2 else (x - (x div (2 + 2)))) div 2) + 1) div 2)
A095139: 1 0 1 1 1 1 1 2 2 2 2 2 2 3 3 3
(((if x <= 0 then 1 else x) div (((x mod (2 + 2)) * 2) - 1)) mod 2)
A321081: 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1
(if x <= 0 then 1 else (((((x * x) * (2 + 2)) * 2) + 1) * 2))
A010006: 1 18 66 146 258 402 578 786 1026 1298 1602 1938 2306 2706 3138 3602
(((loop(\(x,i).((i + x) + x),(x + 2),2) * 2) - 1) * 2)
A250778: 46 106 230 482 990 2010 4054 8146 16334 32714 65478 131010 262078 524218 1048502 2097074
(((if x <= 0 then 1 else x) mod ((((x div 2) mod 2) + 2) + 1)) mod 2)
A141736: 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1
((x div (if (2 - x) <= 0 then (((x mod 2) + 2) * 2) else 1)) mod 2)
A285411: 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0
(if x <= 0 then 1 else (((x mod (((x mod 2) - 2) * 2)) + 1) * 2))
A176742: 1 0 ~2 0 2 0 ~2 0 2 0 ~2 0 2 0 ~2 0
((if x <= 0 then 1 else (x div (((x + 2) mod (2 + 2)) + 1))) mod 2)
A254113: 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1
((x mod ((if (x mod 2) <= 0 then x else 0) - ((2 + 2) + 1))) mod 2)
A059648: 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0
(if x <= 0 then 1 else ((((x * 2) * 2) * ((2 + 2) + 1)) - 2))
A114698: 1 18 38 58 78 98 118 138 158 178 198 218 238 258 278 298
((x - (((if x <= 0 then 2 else x) div 2) mod ((2 + 2) + 1))) mod 2)
A230001: 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1
((if (x - 2) <= 0 then 1 else ((x + 2) div ((2 + 2) + 1))) + 2)
A091786: 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5
(if (x - 1) <= 0 then x else (((x * 2) div ((2 + 2) + 1)) + 2))
A166724: 0 1 2 3 3 4 4 4 5 5 6 6 6 7 7 8
(if x <= 0 then 1 else ((((x * x) * 2) * ((2 + 2) + 1)) + 2))
A005901: 1 12 42 92 162 252 362 492 642 812 1002 1212 1442 1692 1962 2252
loop(\(x,i).((x * 2) + 1),(x * 2),(((2 + 2) + 1) * 2))
A198695: 10 43 175 703 2815 11263 45055 180223 720895 2883583 11534335 46137343 184549375 738197503 2952790015 11811160063
((if (x mod 2) <= 0 then x else (0 - x)) mod (((2 + 2) + 1) * 2))
A172423: 0 9 2 7 4 5 6 3 8 1 0 9 2 7 4 5
loop(\(x,i).(((2 + 1) * x) + 2),x,(((2 + 2) + 1) * 2))
A198646: 10 32 98 296 890 2672 8018 24056 72170 216512 649538 1948616 5845850 17537552 52612658 157837976
loop(\(x,i).(((x + 2) * x) - 2),x,(((2 + 2) + 1) * 2))
A145510: 10 118 14158 200477278 40191139395243838 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then 1 else x) + x) mod (((2 + 2) + 1) * 2))
A136315: 1 2 3 6 5 0 7 4 9 8 1 2 3 6 5 0
(if x <= 0 then 1 else ((((x + 1) * x) div ((2 + 2) + 1)) + 2))
A002984: 1 2 3 4 6 8 10 13 16 20 24 28 33 38 44 50
((if (x mod (2 + 1)) <= 0 then 1 else (x div ((2 + 2) + 1))) mod 2)
A126999: 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1
(((if x <= 0 then 2 else (x div 2)) - (x div ((2 + 2) + 1))) div 2)
A214131-A029348: 1 0 0 0 1 0 1 1 1 1 1 1 2 2 2 2
(if x <= 0 then 1 else (((x * 2) - (x mod ((2 + 2) + 1))) * 2))
A341869: 1 2 4 6 8 20 22 24 26 28 40 42 44 46 48 60
((if x <= 0 then 1 else (x mod (((2 - x) div (2 + 2)) - 1))) mod 2)
A213728: 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0
(if (((x * 2) mod (2 + 1)) - (x mod (2 + 2))) <= 0 then 1 else 2)
A042974: 1 2 1 1 2 1 1 1 2 1 1 1 1 2 1 1
(if ((((x - 1) div 2) div 2) - (x mod (2 + 2))) <= 0 then 1 else 2)
A273866-A182590: 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1
(if (x mod (((((x div 2) mod 2) * x) div 2) - 2)) <= 0 then 1 else 2)
A330348-A038769: 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1
(loop(\(x,i).(((x - 2) * i) * x),((x + 2) * 2),1) div 2)
A217867: 10080 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * (2 + 1)),(x * 2),2) + 1) * 2)
A198965: 6 62 566 5102 45926 413342 3720086 33480782 301327046 2711943422 24407490806 219667417262 1977006755366 17793060798302 160137547184726 1441237924662542
loop(\(x,i).(x * x),(2 + 1),((((x * 2) * 2) + 1) * 2))
A017096: 256 100000000 11019960576 208827064576 1785793904896 9682651996416 39062500000000 128063081718016 360040606269696 899194740203776 2044140858654976 4304672100000000 8507630225817856 15938480745308416
loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) + 1) * 2))
A017091: 8 1000 5832 17576 39304 74088 125000 195112 287496 405224 551368 729000 941192 1191016 1481544 1815848
loop(\(x,i).((x * x) * x),2,((((x * 2) * 2) + 1) * 2))
A017097: 512 1000000000 198359290368 5429503678976 60716992766464 406671383849472 1953125000000000 7427658739644928 23762680013799936 66540410775079424 167619550409708032 387420489000000000
loop(\(x,i).(x * x),1,(x - ((((x * 2) * 2) + 1) * 2)))
A017006: 4 81 256 529 900 1369 1936 2601 3364 4225 5184 6241 7396 8649 10000 11449
loop(\(x,i).(x * x),2,(x - ((((x * 2) * 2) + 1) * 2)))
A017008: 16 6561 65536 279841 810000 1874161 3748096 6765201 11316496 17850625 26873856 38950081 54700816 74805201 100000000 131079601
((((x div 2) * x) div 2) mod (if ((x div 2) - 2) <= 0 then 1 else 2))
A265757-A059782: 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0
(if x <= 0 then 1 else (((x mod ((2 - (x mod 2)) * 2)) + 1) * 2))
A231407: 1 4 6
A164356: 1 4 6 4 2 4 6 4 2 4 6 4 2 4 6 4
(loop(\(x,i).(x * 2),(x - 1),(((x mod 2) + 2) + 1)) div 2)
A131959: 1 2 3 8
A134683: 1 2 3 8 12 32 48 128 192 512 768 2048 3072 8192 12288 32768
((if x <= 0 then 0 else 2) - ((x mod (((x mod 2) - 2) - 1)) mod 2))
A049046: 0 1 1 1 2 1 2 1 1 1 2 1 2 1 1 1
(((x - (if (x - (2 + 1)) <= 0 then 1 else 0)) div (2 + 1)) mod 2)
A164950: 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1
(((x - (if x <= 0 then 1 else (x div (2 + 1)))) div (2 + 1)) + 2)
A225687: 1 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5
(((x - (if x <= 0 then 2 else (x div (2 + 1)))) mod (2 + 1)) mod 2)
A286993: 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1
(if (x - 1) <= 0 then x else (((x div (2 + 1)) mod (2 + 1)) div 2))
A122415: 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1
(if x <= 0 then 1 else ((((x * x) * (2 + 1)) * (2 + 1)) + 2))
A010002: 1 11 38 83 146 227 326 443 578 731 902 1091 1298 1523 1766 2027
(if x <= 0 then 2 else (((((x + 2) * x) + 1) * (2 + 1)) div 2))
A184533: 2 6 13 24 37 54 73 96 121 150 181 216 253 294 337 384
((loop(\(x,i).(x * 2),(x - 1),(x + 1)) * (2 + 1)) div 2)
A084858: 1 3 9 24 60 144 336 768 1728 3840 8448 18432 39936 86016 184320 393216
(if x <= 0 then 1 else (((x * 2) - ((x + 1) div (2 + 1))) * 2))
A231407: 1 4 6
A298784: 1 4 6 10 14 16 20 24 26 30 34 36 40 44 46 50
(if (x mod 2) <= 0 then (((x div (2 + 1)) mod 2) * (2 + 1)) else 2)
A264940: 0 2 0 2 3 2 0 2 0 2 3 2 0 2 0 2
(if (x - 1) <= 0 then x else ((((x + 1) div 2) div (2 + 1)) + 2))
A276611-A004257: 0 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4
(if x <= 0 then 1 else ((((x * x) * (2 + 2)) div (2 + 1)) + 2))
A115285: 1 3 7 14 23 35 50 67 87 110 135 163 194 227 263 302
(((if x <= 0 then 1 else x) - (((x div 2) - 2) div (2 + 1))) div 2)
A247366: 1 1 1 2 2 2 3 3 4 4 4 5 5 6 6 7
(if (x - 1) <= 0 then x else ((((x div 2) * 2) div (2 + 1)) + 2))
A283992-A070549-A000720: 0 1 2 2 3 3 4 4 4 4 5 5 6 6 6 6
(loop(\(x,i).((1 - x) - (x * 2)),(x * 2),(2 + 1)) * 2)
A199680: 6 50 446 4010 36086 324770 2922926 26306330 236756966 2130812690 19177314206 172595827850 1553362450646 13980262055810 125822358502286 1132401226520570
(if (x mod (2 + 1)) <= 0 then 1 else (((x * 2) * (2 + 1)) + 2))
A329499: 1 8 14 1
loop(\(x,i).(x * x),(2 + 1),(((x * 2) * (2 + 1)) + 2))
A016940: 256 16777216 1475789056 25600000000 208827064576 1099511627776 4347792138496 14048223625216 39062500000000 96717311574016 218340105584896 457163239653376 899194740203776 1677721600000000
loop(\(x,i).((x * x) * x),1,(((x * 2) * (2 + 1)) + 2))
A016935: 8 512 2744 8000 17576 32768 54872 85184 125000 175616 238328 314432 405224 512000 636056 778688
loop(\(x,i).((x * x) * x),2,(((x * 2) * (2 + 1)) + 2))
A016941: 512 134217728 20661046784 512000000000 5429503678976 35184372088832 165216101262848 618121839509504 1953125000000000 5416169448144896 13537086546263552 31087100296429568 66540410775079424
loop(\(x,i).(x * 2),x,(1 - (((x * 2) div (2 + 1)) * 2)))
A168054: 1 2 ~4 ~24 ~48 ~160 ~448 ~896 ~2304 ~5632 ~11264 ~26624 ~61440 ~122880 ~278528 ~622592
(((if (x mod (2 + 2)) <= 0 then 2 else (x div 2)) mod (2 + 1)) div 2)
A065293: 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0
(loop(\(x,i).(1 - (x * x)),((x * x) * 2),(2 + 1)) + 2)
A092823: 5 ~61 4611686018427387903
(((x mod (2 + 1)) - (if x <= 0 then 0 else 1)) mod ((2 + 1) * 2))
A021670: 0 0 1 5 0 1 5 0 1 5 0 1 5 0 1 5
(if ((x + 2) mod ((2 + 1) * 2)) <= 0 then 1 else ((2 + 1) * 2))
A080066: 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6
((x + 1) div (if (x - (2 + 2)) <= 0 then 1 else ((2 + 1) * 2)))
A339256: 1 2 3 4 5 1 1 1 1 1 1 2 2 2 2 2
loop(\(x,i).(x * x),(((x * 2) * 2) + 1),((2 + 1) * 2))
A058458: 36 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) + 1),((x * 2) + 1),((2 + 1) * 2))
A206372: 13 55 223 895 3583 14335 57343 229375 917503 3670015 14680063 58720255 234881023 939524095 3758096383 15032385535
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) + ((2 + 1) * 2))
A178681: 7 12 42 222 1302 7782 46662 279942 1679622 10077702 60466182 362797062 2176782342 13060694022 78364164102 470184984582
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + ((2 + 1) * 2))
A084443: 7 11 31 131
((if (x - 1) <= 0 then 2 else ((x * x) - 1)) mod ((2 + 1) * 2))
A300817: 2 2 3 2 3 0 5 0 3 2 3 0 5 0 3 2
(1 - (((if (x mod 2) <= 0 then x else 1) + x) mod ((2 + 1) * 2)))
A130778: 1 ~1 ~3 ~3 ~1 1 1 ~1 ~3 ~3 ~1 1 1 ~1 ~3 ~3
loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,((2 + 1) * 2))
A199315: 6 28 138 688 3438 17188 85938 429688 2148438 10742188 53710938 268554688 1342773438 6713867188 33569335938 167846679688
((if (x mod 2) <= 0 then 2 else ((x + 2) * x)) mod ((2 + 1) * 2))
A342309-A236454-A112047-A053669: 2 3 2 3 2 5 2 3 2 3 2 5 2 3 2 3
loop(\(x,i).(((x div 2) div (2 + 1)) + x),x,((2 + 1) * 2))
A182307: 6 7 8 9 10 11 12 14 16 18 21 24 28 32 37 43
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,((2 + 1) * 2))
A145180: 6 234 12813606 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,((2 + 1) * 2))
A112845: 6 198 7761798 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,((2 + 1) * 2))
A198765: 6 34 174 874 4374 21874 109374 546874 2734374 13671874 68359374 341796874 1708984374 8544921874 42724609374 213623046874
loop(\(x,i).(x * x),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017186: 4 121 400 841 1444 2209 3136 4225 5476 6889 8464 10201 12100 14161 16384 18769
loop(\(x,i).(x * x),2,((((2 + 1) * x) * (2 + 1)) + 2))
A017188: 16 14641 160000 707281 2085136 4879681 9834496 17850625 29986576 47458321 71639296 104060401 146410000 200533921 268435456 352275361
(((x div 2) - ((if (x - 2) <= 0 then 1 else x) mod (2 + 1))) mod 2)
A342991: 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1
(if x <= 0 then 1 else ((x div (2 - ((1 - x) div (2 + 1)))) + 2))
A130147: 1 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4
(if x <= 0 then 1 else (((x * 2) - ((1 - x) div (2 + 1))) * 2))
A298024: 1 4 10 14 18 24 28 32 38 42 46 52 56 60 66 70
((((2 - (x div 2)) mod (if x <= 0 then 1 else x)) mod (2 + 1)) div 2)
A275305-A169671: 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0
(loop(\(x,i).((((x * x) - 1) div 2) * 2),x,(2 + 1)) div 2)
A084764: 1 4 31 1921 7380481 108942999582721 4611686018427387903 4611686018427387903
(((if x <= 0 then 2 else ((x div (2 + 2)) * x)) mod (2 + 1)) div 2)
A014084: 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0
loop(\(x,i).(((x * 2) * 2) + 1),x,((x - (2 + 1)) * 2))
A072257: ~6 ~15 ~27 21 597 4437 25941 136533 677205 3233109 15029589 68506965 307582293 1364546901 5995058517 26127717717
((loop(\(x,i).(x * 2),(x - 1),x) * (x - (2 + 1))) div 2)
A178987: 0 ~1 ~2 0 16 80 288 896 2560 6912 17920 45056 110592 266240 630784 1474560
(if x <= 0 then 1 else ((((x div 2) + 1) + (x div (2 + 1))) * 2))
A063199: 1 2 4 6 8 8 12 12 14 16 18 18 22 22 24 26
((if (x mod 2) <= 0 then 1 else (0 - 2)) + ((x div (2 + 1)) mod 2))
A131556: 1 ~2 1 ~1 2 ~1 1 ~2 1 ~1 2 ~1 1 ~2 1 ~1
(if x <= 0 then 1 else ((((2 + 1) * x) - (x div (2 + 1))) * 2))
A063089: 1 6 12 16 22 28 32 38 44 48 54 60 64 70 76 80
(((((if (x mod 2) <= 0 then 2 else 0) + x) * x) * (2 + 1)) div 2)
A322462: 0 1 12 13 36 37 72 73 120 121 180 181 252 253 336 337
(if x <= 0 then 1 else (((((x mod 2) + x) * x) + (2 + 1)) * 2))
A115603: 1 10 14 30
(loop(\(x,i).(i * x),(x - 1),((x * x) + (2 + 1))) - 2)
A101206: 1 2 5 22 112
loop(\(x,i).(x * x),1,((x - ((x * x) * (2 + 1))) div 2))
A100255: 0 1 25 144 484 1225 2601 4900 8464 13689 21025 30976 44100 61009 82369 108900
(if (((2 - (x mod ((2 + 2) + 1))) * x) div 2) <= 0 then 1 else 2)
A303828: 1 1 1 1 1 2 2 1 1 1 2 2 1 1 1 2
(if x <= 0 then 1 else ((x - (2 mod (((1 - x) * 2) + 1))) * 2))
A222011: 1 2 4 8
A140164: 1 2 4 8 14 20 26 32 38 44 50 56 62 68 74 80
(((x - 1) div ((if ((x div 2) - 2) <= 0 then x else 2) + 1)) mod 2)
A025906: 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0
((loop(\(x,i).(x div 2),(x div (2 + 1)),(x + 2)) + 1) mod 2)
A070829: 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 2),1) - 2)
A292552: 98 998 9998 99998 999998 9999998 99999998 999999998 9999999998 99999999998 999999999998 9999999999998 99999999999998 999999999999998 9999999999999998 99999999999999998
(if (x - ((((x - 1) * x) div 2) mod (x + 2))) <= 0 then 1 else 2)
A102297: 1 2 2 1 2 2 1 2 1 2 2 2 2 2 2 2
(((if (2 - x) <= 0 then x else (x + 1)) * ((x + 2) + 1)) - 2)
A011989: 1 6 8 16 26
(loop(\(x,i).((x + 2) * i),(x - 1),((x + 2) + 1)) - 2)
A118814: 1 2 5 18 70
((((if x <= 0 then 0 else (x + 2)) + 2) * ((x + 2) + 1)) div 2)
A112355: 3 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171
((if x <= 0 then 1 else (((x * x) div 2) div ((x + 2) + 1))) mod 2)
A195376: 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0
loop(\(x,i).((x * x) * 2),(x div 2),(((x + 2) + 1) * 2))
A295429: 6 8 200
loop(\(x,i).(((x * 2) * 2) + 1),x,(((x + 2) + 1) * 2))
A072260: 6 33 165 789 3669 16725 75093 333141 1463637 6378837 27612501 118838613 508908885 2169853269 9216283989 39012619605
(loop(\(x,i).((((i * i) * i) + 1) * x),(x + 2),1) div 2)
A158621: 9 252 16380 2063880 447861960 154064514240 79035095805120 57695619937737600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if ((x div (2 + 2)) - 2) <= 0 then x else (x + 2)) + 1) * 2)
A230201: 2 4 6 8 10 12 14 16 18 20 22 24 30 32 34 36
(2 - ((x div ((0 - 2) - 2)) * (if (x - 2) <= 0 then 1 else 2)))
A177876: 2 3 3 4
A105677: 2 3 3 4 4 6 6 6
(loop(\(x,i).(((x * x) * x) + (2 + 2)),(x * 2),1) + 2)
A048796: 3 131 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x + 1)),((x * 2) + 1),2)
A067669: 24 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - 1) * x),1,(((x * 2) + 1) * 2))
A001505: 6 210 990 2730 5814 10626 17550 26970 39270 54834 74046 97290 124950 157410 195054 238266
(((if x <= 0 then 1 else x) + (x mod 2)) + (((x * 2) + 1) * 2))
A063225: 3 8 12 18 22 28 32 38 42 48 52 58 62 68 72 78
loop(\(x,i).((((i * 2) + 1) * i) * x),((x * 2) + 1),2)
A052278: 6 1260 2494800 20432412000 475176173472000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i * x) + 1),x,1) * ((x * 2) - 1)) + 2)
A082028: 1 4 17 82 457 2936 21529 178102 1644017 16768972 187417921 2278607354 29947410937 423169937152 6398329449737 103084196690206
(loop(\(x,i).(x * 2),((x div 2) - 1),((x div 2) + 1)) div 2)
A336102: 0 0 1 1 3 3 8 8 20 20 48 48 112 112 256 256
loop(\(x,i).(x * 2),(x div (2 + 2)),(((x div 2) + 1) mod 2))
A119332: 1 1 0 0 2 2 0 0 4 4 0 0 8 8 0 0
(loop(\(x,i).(x * 2),(x div 2),((2 - (x mod 2)) + 1)) div 2)
A074323: 1 1 3 2 6 4 12 8 24 16 48 32 96 64 192 128
((((x * 2) * (2 + 1)) + 1) * ((if x <= 0 then 2 else 1) + 2))
A063122: 4 21 39 57 75 93 111 129 147 165 183 201 219 237 255 273
((loop(\(x,i).i,((x + 1) div ((2 + 2) + 1)),x) + 1) div 2)
A161606: 0 1 1 2 1 1 1 1 1 1 1 1 1 1 2 2
loop(\(x,i).(x * x),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017294: 4 144 484 1024 1764 2704 3844 5184 6724 8464 10404 12544 14884 17424 20164 23104
loop(\(x,i).(x * x),2,(((((2 + 2) + 1) * x) + 1) * 2))
A017296: 16 20736 234256 1048576 3111696 7311616 14776336 26873856 45212176 71639296 108243216 157351936 221533456 303595776 406586896 533794816
(loop(\(x,i).(((((i + x) * x) div 2) * 2) - 1),x,1) div 2)
A327146: 0 0 0 1 9 227
(((x div ((2 + 2) - (if (x mod 2) <= 0 then 1 else x))) + 1) mod 2)
A068431: 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1
((2 - (if (((2 + 1) * 2) mod (x + 1)) <= 0 then x else 1)) div 2)
A089803: 1 0 0 0 0 ~2 0 0 0 0 0 0 0 0 0 0
((((((x mod 2) + 2) + 2) * (if x <= 0 then 1 else x)) - 1) div 2)
A179894: 1 2 3 7 7 12 11 17 15 22 19 27 23 32 27 37
(((((x div 2) * (x div 2)) mod (if x <= 0 then 1 else x)) + 1) mod 2)
A116683: 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1
((((2 - x) * (2 + 1)) div ((if x <= 0 then 1 else x) + 1)) mod 2)
A266155: 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1
(((((x + 2) * x) + 1) * ((if x <= 0 then 1 else x) + 1)) div 2)
A184632: 1 4 13 32 62 108 171 256 364 500 665 864 1098 1372 1687 2048
(((if ((x div 2) - 2) <= 0 then ((2 + 1) * 2) else x) + 1) * 2)
A291510: 14 14 14 14 14 14 14 16 18 20 22 24 26 28 30 32
(((((x * x) div (if (x - 2) <= 0 then 1 else 2)) + x) + 1) div 2)
A182531: 0 1 3 4 6 9 12 16 20 25 30 36 42 49 56 64
(if (x - ((x * x) mod (((2 + 2) * 2) + x))) <= 0 then 1 else 2)
A204260-A109338-A102715-A071202: 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1 1
(loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,1) + 2)
A173735: 3 4 14 114 1114 11114 111114 1111114 11111114 111111114 1111111114 11111111114 111111111114 1111111111114 11111111111114 111111111111114
(loop(\(x,i).((x - ((i - x) * (2 + 2))) * 2),x,1) * 2)
A036544: 2 4 8 32 256 2480 24704 246928 2469152 24691376 246913600 2469135824 24691358048 246913580272 2469135802496 24691358024720
((loop(\(x,i).(x - ((2 + 2) mod (x + 2))),2,x) + 1) div 2)
A262907: 0 0 1 0 0 0 1 0 0 1 1 2 2 3 3 4
(if ((((x - 2) * 2) mod ((x + 2) + 2)) - x) <= 0 then 1 else 2)
A122586: 1 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1
(if (x - ((x * x) mod (((x + 2) * 2) + x))) <= 0 then 1 else 2)
A195007: 1 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1
(((loop(\(x,i).(x * x),((x * x) - 2),2) * x) + 1) * 2)
A219037: 2 6 66 4611686018427387903
(((if x <= 0 then 1 else x) + 1) div (((2 + 1) mod (x + 1)) + 2))
A319816-A025809: 1 0 1 0 1 1 1 1 1 2 2 2 2 2 3 3
(loop(\(x,i).(((i mod 2) + 2) * x),(x + 1),(x + 1)) div 2)
A027276: 1 6 27 72 270 648 2268 5184 17496 38880 128304 279936 909792 1959552 6298560 13436928
loop(\(x,i).((i * x) * (x - 1)),((2 + 2) * (x + 1)),2)
A045517: 5040 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x div (2 + 2)),((2 mod (x + 1)) + 2))
A287293: 2 2 4 4 8 8 8 8 16 16 16 16 32 32 32 32
(((loop(\(x,i).(x * 2),(x - 2),x) div 2) * (x + 1)) div 2)
A309294: 0 0 1 6 20 60 168 448 1152 2880 7040 16896 39936 93184 215040 491520
((loop(\(x,i).(x * 2),(x - 1),(x + 2)) * (x + 1)) div 2)
A080929: 1 3 12 40 120 336 896 2304 5760 14080 33792 79872 186368 430080 983040 2228224
((loop(\(x,i).(i * x),x,2) mod ((x + 2) * (x + 1))) div 2)
A120387: 0 1 2 6 9 15 20 0 0 45 54 66 77 0 0 120
loop(\(x,i).(x * x),(2 + 1),(((x + 2) * (x + 1)) div 2))
A059980: 1 6561 1679616 100000000 2562890625 37822859361 377801998336 2821109907456 16815125390625 83733937890625 360040606269696 1370114370683136 4702525276151521 14774554437890625 42998169600000000
loop(\(x,i).((x * x) * x),1,(((x + 2) * (x + 1)) div 2))
A059827: 1 27 216 1000 3375 9261 21952 46656 91125 166375 287496 474552 753571 1157625 1728000 2515456
(loop(\(x,i).(x * 2),x,2) mod (((x + 2) * (x + 1)) div 2))
A289382: 0 1 2 6 2 1 16 4 17 34 2 40 2 4 8 120
loop(\(x,i).((2 + 1) * x),x,(((x + 2) * (x + 1)) div 2))
A027472: 1 9 54 270 1215 5103 20412 78732 295245 1082565 3897234 13817466 48361131 167403915 573956280 1951451352
(((loop(\(x,i).(i * x),x,x) mod (x + 2)) * (x + 1)) div 2)
A175567: 0 1 0 6 0 15 0 0 0 45 0 66 0 0 0 120
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod ((x + 1) * 2))
A082511: 1 1 3 1 3 9 3 1 9 9 3 9 3 9 27 1
loop(\(x,i).((((i * 2) + 1) * x) * 2),x,((x + 1) * 2))
A126804: 2 24 360 6720 151200 3991680 121080960 4151347200 158789030400 6704425728000 309744468633600 15543540607795200 841941782922240000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 1) * 2) + 1) * x),x,((x + 1) * 2))
A000906: 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 1849969737866250 57775977967207500 1918987839625106250 4611686018427387903
(if x <= 0 then 1 else ((((x div 2) + 2) + 1) * ((x + 1) div 2)))
A265611: 1 3 4 8 10 15 18 24 28 35 40 48 54 63 70 80
(if x <= 0 then 1 else ((((x mod 2) + x) + 1) * ((x + 1) div 2)))
A266221: 1 3 3 10 10 21 21 36 36 55 55 78 78 105 105 136
(loop(\(x,i).(i * x),x,((x - 1) div 2)) * ((x + 1) div 2))
A077612: 0 0 0 12 48 720 4320 60480 483840 7257600 72576000 1197504000 14370048000 261534873600 3661488230400 73229764608000
(((x * 2) + 1) mod (if (x - 1) <= 0 then 2 else ((x + 1) div 2)))
A243334: 1 1 0 1 1 2 1 3 1 4
(2 - (loop(\(x,i).i,(x div (2 + 2)),2) - ((x + 1) div 2)))
A327715: 0 1 1 2 3 4 4 5 4 5 5 6 5 6 6 7
loop(\(x,i).(((x * 2) + 1) * 2),(x div 2),((x + 1) mod 2))
A176965: 1 0 6 2 26 10 106 42 426 170 1706 682 6826 2730 27306 10922
loop(\(x,i).(((i * 2) - 1) * x),(x div 2),((x + 1) mod 2))
A123023: 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0
((if (x mod (((2 + 2) * 2) + 1)) <= 0 then x else (x + 1)) div 2)
A194173: 0 1 1 2 2 3 3 4 4 4 5 6 6 7 7 8
(loop(\(x,i).((x + 2) * x),((x - 1) * x),(x + 1)) div 2)
A101327: 0 1 127 4611686018427387903
(((loop(\(x,i).(x * 2),(x + 2),x) - x) * (x + 1)) div 2)
A059937: 0 7 45 186 630 1905 5355 14308 36828 92115 225225 540606 1277874 2981797 6881175 15728520
((x + 2) div ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) + 2))
A160467: 1 1 1 2 1 1 1 4 1 1 1 2 1 1 1 8
(((loop(\(x,i).((x * x) * x),2,x) * x) * (x + 1)) div 2)
A170793: 0 1 1536 118098 2621440 29296875 211631616 1129900996 4831838208 17433922005 55000000000 155624547606 402462867456 965009442943 2169409912320 4613203125000
((x + 2) - ((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2))
A113636: 2 2 3 5 5 7 7 9 10 11 11 13 13 15 16 17
((loop(\(x,i).(((i - 1) * x) + 2),x,1) * (x - 1)) + 2)
A054096-A006183: 1 2 6 22 98 522 3262 23486 191802 1753618 17755382 197282022 2387112466 31249472282 440096734638 6635304614542
loop(\(x,i).((x + 1) * 2),x,(((x - 2) * (x - 1)) div 2))
A217528: 1 2 6 22 78 254 766 2174 5886 15358 38910 96254 233470 557054 1310718 3047422
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else ((x - 1) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A023795: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 28
(((if (x - (2 + 2)) <= 0 then 1 else x) + x) + ((x - 1) div 2))
A179333: 0 2 3 5 6 12 14 17
((loop(\(x,i).((2 + 1) * x),(x - 1),x) * (x - 1)) div 2)
A129530: 0 0 3 27 162 810 3645 15309 61236 236196 885735 3247695 11691702 41452398 145083393 502211745
(loop(\(x,i).(((x * x) * x) * (x * 2)),x,(x - 1)) + 2)
A077747-A041012: 1 2 34 4611686018427387903
(((((2 + 1) * 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2))
A040342: 19 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38
(((((2 + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2))
A040506: 23 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46
((((((2 + 2) * 2) * 2) * 2) - 1) * (if x <= 0 then 1 else 2))
A040930: 31 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62
((((x - 1) * 2) mod ((2 + 2) + 1)) * (if x <= 0 then 1 else 2))
A128178: 3 0 4 8 2 6 0 4 8 2 6 0 4 8 2 6
((((2 + 2) * 2) * ((x * 2) + 1)) - (if x <= 0 then 1 else 2))
A063130: 7 22 38 54 70 86 102 118 134 150 166 182 198 214 230 246
(((((2 + 2) * (2 + 1)) + 1) * 2) * (if x <= 0 then 1 else 2))
A040650: 26 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52
(((((2 + 2) * (2 + 1)) - 1) * 2) * (if x <= 0 then 1 else 2))
A040462: 22 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44
(((x - ((x div (0 - 2)) - 1)) * 2) * (if x <= 0 then 1 else 2))
A295821: 2 12 16 24 28 36 40 48 52 60 64 72 76 84 88 96
((x div (((x div 2) div (2 + 1)) + 2)) + (if x <= 0 then 1 else 2))
A230411: 1 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5
((x div (((x div (2 + 2)) + 2) + 2)) + (if x <= 0 then 1 else 2))
A309398-A235037-A074279: 1 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4
(((((2 - (x mod 2)) * 2) * 2) * 2) * (if x <= 0 then 1 else 2))
A040241: 16 16 32 16 32 16 32 16 32 16 32 16 32 16 32 16
(((x div 2) - (x div ((2 + 2) * 2))) + (if x <= 0 then 1 else 2))
A061091: 1 2 3 3 4 4 5 5 5 5 6 6 7 7 8 8
(2 - ((1 - x) div ((x div (2 + 2)) + (if x <= 0 then 1 else 2))))
A260998-A085423: 1 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5
(((((x + 2) + 1) * (x + 2)) div 2) + (if x <= 0 then 1 else 2))
A340266: 4 8 12 17 23 30 38 47 57 68 80 93 107 122 138 155
((((x * x) * (2 + 1)) div (x + 2)) + (if x <= 0 then 1 else 2))
A182136: 1 3 5 7 10 12 15 18 21
(((((x + 2) * x) div 2) + (x div 2)) + (if x <= 0 then 1 else 2))
A114113: 1 3 7 10 16 21 29 36 46 55 67 78 92 105 121 136
(((x div ((2 + 2) * 2)) - (x mod 2)) + (if x <= 0 then 1 else 2))
A185318: 1 1 2 1 2 1 2 1 3 2 3 2 3 2 3 2
((((((2 + 2) + 1) * x) * x) div 2) + (if x <= 0 then 1 else 2))
A008253: 1 4 12 24 42 64 92 124 162 204 252 304 362 424 492 564
(((((x div 2) + x) div (2 + 2)) + x) + (if x <= 0 then 1 else 2))
A225647: 1 3 4 6 7
A276218: 1 3 4 6 7 8 10 11 13 14 15 17 18 19 21 22
((((((x div 2) mod 2) + x) div 2) + x) + (if x <= 0 then 1 else 2))
A062958: 1 3 5 7 8 9 11 13 14 15 17 19 20 21 23 25
((((((2 + 1) * 2) + 1) * x) * x) + (if x <= 0 then 1 else 2))
A005919: 1 9 30 65 114 177 254 345 450 569 702 849 1010 1185 1374 1577
(loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),x,1) + 2)
A153079: 3 15 171 2199 28563 371295 4826811 62748519 815730723 10604499375 137858491851 1792160394039 23298085122483 302875106592255 3937376385699291 51185893014090759
((loop(\(x,i).((i + x) div ((x div 2) + 1)),x,x) + 1) div 2)
A327007: 0 1 2 1 2 2 2 3 2 2 2 3 3 3 3 3
((loop(\(x,i).((x * x) * x),2,x) * ((x * x) + 1)) div 2)
A170784: 0 1 1280 98415 2228224 25390625 186437376 1008840175 4362076160 15884240049 50500000000 143834809151 374084075520 901382446705 2035113108224 4344099609375
((loop(\(x,i).(x * x),2,(x * x)) * ((x * x) + 1)) div 2)
A170774: 0 1 640 32805 557056 5078125 31072896 144120025 545259520 1764915561 5050000000 13075891741 31173672960 69337111285 145365222016 289606640625
(((x - (if ((x div (2 + 2)) - 2) <= 0 then 1 else 0)) div 2) mod 2)
A188083: 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1
((x div 2) mod (if ((x div 2) mod (2 + 1)) <= 0 then (0 - 2) else 2))
A274369: 0 0 1 1 0 0 ~1 ~1 0 0 1 1 0 0 1 1
(x - ((x + 2) div (if ((x div 2) mod 2) <= 0 then (0 - 2) else 2)))
A273155: 1 3 0 1 7
(((if x <= 0 then 2 else (x * x)) div (2 - (x div (0 - 2)))) mod 2)
A321740: 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0
((x - (x div ((if (x mod (2 + 1)) <= 0 then x else 0) - 2))) mod 2)
A226474: 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0
((2 - (loop(\(x,i).(((i * x) * 2) - 1),x,0) div 2)) div 2)
A212413: 1 1 2 9 63
(((((x * x) * 2) * (2 + 1)) - (if x <= 0 then 0 else 2)) * 2)
A188148: 0 8 44 104 188 296 428 584 764 968 1196 1448 1724 2024 2348 2696
((loop(\(x,i).(((i * i) div (2 + 1)) + x),x,0) div 2) div 2)
A181120: 0 0 0 1 2 4 7 11 16 23 31 41 53 67 83 102
((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 2) + 2)
A251539: 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4
(((x - 1) div (if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2)) mod 2)
A285305: 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1
((((2 - x) div 2) div (if (x mod (2 + 1)) <= 0 then 1 else 2)) mod 2)
A266982: 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1
(x - (((x div 2) - (if (x mod (2 + 1)) <= 0 then 1 else 2)) div 2))
A156562: 1 2 3 3 4 5 5 7 7 8 9 10 10 11 12 12
(((loop(\(x,i).((i mod 2) + (x * 2)),x,1) + 1) div 2) * 2)
A151794: 2 4 6 14 26 54 106 214 426 854 1706 3414 6826 13654 27306 54614
((((x div (if (x mod (2 + 1)) <= 0 then 1 else 2)) - 1) div 2) mod 2)
A179416: 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1
((if x <= 0 then 1 else ((x mod (((0 - 2) - 2) - 1)) mod 2)) + 2)
A245219-A097509: 3 2 3 2 3 2 2 3 2 3 2 2 3 2 3 2
(((x + 2) mod ((if ((x div 2) - 2) <= 0 then 2 else 1) + 2)) div 2)
A284391: 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 1
(if x <= 0 then 1 else ((((x + 1) mod ((2 + 2) + 1)) mod 2) + 2))
A085239: 1 2 3 2 2 3 2 3 2 2 3 2 3 2 2 3
loop(\(x,i).((x * 2) + 1),x,((((2 + 2) + 1) * 2) * 2))
A171389: 20 41 83 167 335 671 1343 2687 5375 10751 21503 43007 86015 172031 344063 688127
(((if (x - (2 + 2)) <= 0 then x else ((2 + 2) + 1)) + 2) + 2)
A168094: 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9
((if x <= 0 then 1 else x) - (((x div ((2 + 2) + 1)) * 2) * 2))
A033925: 1 1 2 3 4 1 2 3 4 5 2 3 4 5 6 3
loop(\(x,i).(x * x),1,(((((x div 2) * 2) + 1) * 2) * 2))
A174994: 16 16 144 144 400 400 784 784 1296 1296 1936 1936 2704 2704 3600 3600
(if x <= 0 then 1 else (((((x + 1) div 2) div (2 + 1)) + 2) * 2))
A175961: 1 4 4 4 4 6 6 6 6 6 6 8 8 8 8 8
(if x <= 0 then 1 else (((((x div 2) * 2) div (2 + 1)) + 2) * 2))
A277433: 1 4 4 4 6 6 8 8 8 8
loop(\(x,i).(x * x),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017570: 16 256 784 1600 2704 4096 5776 7744 10000 12544 15376 18496 21904 25600 29584 33856
loop(\(x,i).(x * x),2,((((x * 2) * (2 + 1)) + 2) * 2))
A017572: 256 65536 614656 2560000 7311616 16777216 33362176 59969536 100000000 157351936 236421376 342102016 479785216 655360000 875213056 1146228736
((if x <= 0 then 1 else (x div (((x div 2) div (2 + 1)) + 2))) mod 2)
A266377: 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1
(if x <= 0 then 1 else (((x - ((1 - x) div (2 + 1))) * 2) * 2))
A310565: 1 4 12 16 20 28 32 36 44 48 52 60 64 68 76 80
((if x <= 0 then 2 else ((x * x) mod ((x div (2 + 1)) + 2))) div 2)
A318886-A070536: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0
(((if x <= 0 then 2 else (x * x)) div ((x mod (2 + 1)) + 2)) mod 2)
A089806: 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0
(((((if (x mod 2) <= 0 then 1 else x) + x) div (2 + 1)) + 2) + 2)
A202151: 4 4 5 6 5 7
(((loop(\(x,i).(i * x),x,x) * ((x + 2) + 1)) div 2) div 2)
A180928: 0 1 5 27
A138772: 0 1 5 27 168 1200 9720 88200 887040 9797760 117936000 1536796800 21555072000 323805081600 5187108326400 88268019840000
loop(\(x,i).(x * x),(2 + 1),((((x * 2) + 1) * 2) * 2))
A017120: 65536 429981696 25600000000 377801998336 2821109907456 14048223625216 53459728531456 167961600000000 457163239653376 1113034787454976 2478758911082496 5132188731375616 10000000000000000
loop(\(x,i).((x * x) * x),1,((((x * 2) + 1) * 2) * 2))
A017115: 64 1728 8000 21952 46656 85184 140608 216000 314432 438976 592704 778688 1000000 1259712 1560896 1906624
loop(\(x,i).((x * x) * x),2,((((x * 2) + 1) * 2) * 2))
A017121: 262144 5159780352 512000000000 10578455953408 101559956668416 618121839509504 2779905883635712 10077696000000000 31087100296429568 84590643846578176 208215748530929664 472161363286556672
loop(\(x,i).(x * x),1,(x - ((((x * 2) + 1) * 2) * 2)))
A017030: 16 121 324 625 1024 1521 2116 2809 3600 4489 5476 6561 7744 9025 10404 11881
loop(\(x,i).(x * x),2,(x - ((((x * 2) + 1) * 2) * 2)))
A017032: 256 14641 104976 390625 1048576 2313441 4477456 7890481 12960000 20151121 29986576 43046721 59969536 81450625 108243216 141158161
(((x * x) mod ((if (x mod 2) <= 0 then (x div 2) else 1) + 2)) mod 2)
A189135: 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0
((x mod (if (x - 1) <= 0 then 1 else (((x div 2) + 1) div 2))) mod 2)
A011703: 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1
((if (((x + 1) mod ((2 + 2) + 1)) * x) <= 0 then 1 else 2) + 2)
A018244: 3 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4
((loop(\(x,i).(x - ((i * i) div (0 - 2))),x,1) div 2) div 2)
A173722: 0 0 1 2 4 7 12 18 26 36 49 64 82 103 128 156
(loop(\(x,i).((((i * i) div 2) + x) + 1),(x + 1),2) div 2)
A209008: 1 3 5 10 16 26 38 55 75 101 131 168 210 260 316 381
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),2) - 2)
A083812: 18 198 1998 19998 199998 1999998 19999998 199999998 1999999998 19999999998 199999999998 1999999999998 19999999999998 199999999999998 1999999999999998 19999999999999998
(loop(\(x,i).((((i * i) div 2) + x) + 2),(x + 1),2) div 2)
A266464: 2 4 7 12 19 29 42 59 80 106 137 174 217 267 324 389
loop(\(x,i).(((x * x) * (x + 1)) - 1),((x + 1) * 2),2)
A122421: 1451 4611686018427387903
(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then ((x + 1) div 2) else 2)
A145992: 2 2 2 2 2 2 2 2 4 2 2 2 2 7 2 2
((if ((x div (2 + 1)) - 2) <= 0 then 2 else ((x + 1) div 2)) div 2)
A116458: 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 4
(loop(\(x,i).(x div (2 - (x mod 2))),x,((x + 1) div 2)) + 2)
A329245: 2 3 3 3 3 5 5 3 3 7 7 5 5 9 9 3
(loop(\(x,i).(((x * x) * 2) * (x - 1)),(x - 1),2) * 2)
A051460: 4 4 16 1792
((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div 2) div 2)
A011942: 0 0 0 0 0 3 11 26 52 94 157 247 371 536 750 1023
(if (x mod ((2 + 2) + 1)) <= 0 then 1 else (((x - 1) div 2) * 2))
A328873: 1 0 0 2 2 1 4 6 6
(((1 - x) div ((x div (2 + 2)) + (if x <= 0 then 1 else 2))) mod 2)
A267034: 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1
(((((x * x) + 2) div (x + 2)) * (if x <= 0 then 1 else 2)) * 2)
A076342: 2 4 4 8 12 12 16 20 24 28 32 36 40 44 48 52
(x - ((if ((x div (2 + 2)) mod 2) <= 0 then (0 - 2) else 2) * 2))
A004445: 4 5 6 7 0 1 2 3 12 13 14 15 8 9 10 11
((if x <= 0 then 2 else 0) - (x div ((x div ((0 - 2) - 2)) - 2)))
A038605: 2 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3
(((x - 2) div ((if (x mod (2 + 1)) <= 0 then 1 else 2) + 2)) mod 2)
A179771: 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0
loop(\(x,i).i,(x div ((x mod (((2 + 2) + 1) * 2)) + 2)),2)
A103663: 2 2 2 2 2 2 2 2 2 2 5 3 3 2 2 2
(((x mod ((if (x mod 2) <= 0 then (x div 2) else 1) + 2)) div 2) mod 2)
A216278: 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 0
(((loop(\(x,i).(((x div 2) + x) * 2),x,1) * 2) * 2) * 2)
A188825: 8 16 48 144 432 1296 3888 11664 34992 104976 314928 944784 2834352 8503056 25509168 76527504
loop(\(x,i).(0 - x),x,((2 - (((x - 1) div 2) div 2)) div 2))
A014139: 1 ~1 1 ~1 1 0 0 0 0 0 0 0 0 1 ~1 1
((if (x mod (2 + 1)) <= 0 then x else (((x - 1) div 2) div 2)) mod 2)
A341612: 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1
((if x <= 0 then 1 else (((x - (x div (0 - 2))) * 2) * 2)) + 2)
A063221: 3 10 14 22 26 34 38 46 50 58 62 70 74 82 86 94
(((if x <= 0 then 1 else x) mod ((((x - 1) div 2) mod 2) + 2)) mod 2)
A265698: 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0
(if (x mod 2) <= 0 then 1 else (((((2 + 2) * 2) * 2) * 2) * 2))
A174927: 1 64 1 64 1 64 1 64 1 64 1 64 1 64 1 64
(((((loop(\(x,i).(x * 2),x,2) + 2) * 2) * 2) * 2) * 2)
A175163: 64 96 160 288 544 1056 2080 4128 8224 16416 32800 65568 131104 262176 524320 1048608
loop(\(x,i).((x * 2) - 1),x,((((2 + 2) * 2) * 2) * 2))
A206371: 32 63 125 249 497 993 1985 3969 7937 15873 31745 63489 126977 253953 507905 1015809
(loop(\(x,i).((x * 2) + 1),x,(((2 + 2) * 2) * 2)) - 2)
A156203: 14 31 65 133 269 541 1085 2173 4349 8701 17405 34813 69629 139261 278525 557053
(if (x mod 2) <= 0 then (((x - (x div (2 + 2))) div 2) mod 2) else 2)
A316828: 0 2 1 2 1 2 0 2 1 2 0 2 0 2 1 2
((loop(\(x,i).((2 + 1) * x),((x div 2) * 2),2) * 2) * 2)
A117861: 8 8 72 72 648 648 5832 5832 52488 52488 472392 472392 4251528 4251528 38263752 38263752
((x div ((if (x mod (2 + 1)) <= 0 then 1 else (2 + 2)) * 2)) mod 2)
A262588-A193140: 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1
((((x + 1) div (if (x - 2) <= 0 then 1 else (2 + 2))) div 2) mod 2)
A030301: 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0
((x mod ((if (x - 2) <= 0 then 2 else 1) - ((2 + 2) * 2))) mod 2)
A059620: 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0
(x - (((2 - x) div (if x <= 0 then 1 else ((2 + 2) * 2))) - 2))
A092459: 0 3 4 6 7 8 9 10 11 12 13 15 16 17 18 19
loop(\(x,i).((x * 2) - 1),(x + 1),(((2 + 2) * 2) * 2))
A195744: 31 61 121 241 481 961 1921 3841 7681 15361 30721 61441 122881 245761 491521 983041
(loop(\(x,i).((2 + 1) * x),x,1) + (((2 + 2) * 2) * 2))
A205646: 17 19 25 43 97 259 745 2203 6577 19699 59065 177163 531457 1594339 4782985 14348923
loop(\(x,i).(((x - 1) * x) + 1),x,(((2 + 2) * 2) * 2))
A179092: 16 241 57841 3345523441 4611686018427387903 4611686018427387903 4611686018427387903
(2 - ((x - (if x <= 0 then 1 else (x div ((2 + 2) * 2)))) mod 2))
A081129-A022934: 1 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2
(if ((x div (2 + 1)) - 2) <= 0 then (x div ((2 + 2) * 2)) else 2)
A102682-A008838: 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2
((x mod ((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) + 2)) div 2)
A097795: 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0
(if (x mod 2) <= 0 then ((x + 2) div ((x div (2 + 2)) + 2)) else 2)
A037968: 1 2 2 2 2 2 2 2 2 2 3 2 2 2 3 2
(((if x <= 0 then 2 else (x * x)) div ((x mod (2 + 2)) + 2)) mod 2)
A168002: 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1
(loop(\(x,i).((x * x) * (x div 2)),((x + 2) + 2),2) * 2)
A139574: 4398046511104 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) * 2),x,(((x + 2) + 2) + 2)) div 2)
A291097: 3 8 20 47 106 233 504 1079 2294 4853 10228 21491 45042 94193 196592 409583
((loop(\(x,i).((x * 2) * 2),x,((x + 2) + 2)) div 2) div 2)
A112613: 1 5 24
A081104: 1 5 24 112 512 2304 10240 45056 196608 851968 3670016 15728640
A079028: 1 5 24 112 512 2304 10240 45056 196608 851968 3670016 15728640 67108864 285212672 1207959552 5100273664
((loop(\(x,i).((x + 1) * (2 + 1)),(x * 2),2) + 2) * 2)
A199567: 8 64 568 5104 45928 413344 3720088 33480784 301327048 2711943424 24407490808 219667417264 1977006755368 17793060798304 160137547184728 1441237924662544
((loop(\(x,i).((x - 1) * (2 + 1)),(x * 2),2) + 2) * 2)
A062508: 8 16 88 736 6568 59056 531448 4782976 43046728 387420496 3486784408 31381059616 282429536488 2541865828336 22876792454968 205891132094656
((loop(\(x,i).(((x * x) * x) + 1),(x * 2),2) - 2) * 2)
A255345: 0 1456 4611686018427387903 4611686018427387903
(((((if (x mod 2) <= 0 then 1 else x) + (x div 2)) div 2) div 2) div 2)
A144765: 0 0 0 0 0 0 0 1 0 1 0 2 0 2 1 2
((x mod ((if ((2 - x) + 2) <= 0 then (x mod 2) else 2) + 2)) div 2)
A156660: 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 2) + 2)
A209723: 6 7 8 10 12 16 20 28 36 52 68 100 132 196 260 388
(if (x - 1) <= 0 then x else (((x mod ((x mod 2) + 2)) mod 2) * 2))
A045839: 0 1 0 0 0 0 0 2 0 0 0 0 0 2 0 0
(((loop(\(x,i).((x + 2) * 2),x,(x mod 2)) div 2) div 2) + 2)
A014556: 2 3 5 11 17 41
A082605: 2 3 5 11 17 41 65 161 257 641 1025 2561 4097 10241 16385 40961
(if (x mod 2) <= 0 then (((x div 2) mod 2) + 1) else ((2 + 2) * 2))
A143025: 1 8 2 8 1 8 2 8 1 8 2 8 1 8 2 8
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + ((2 + 2) * 2))
A253212: 9 17 89 737 6569 59057 531449 4782977 43046729 387420497 3486784409 31381059617 282429536489 2541865828337 22876792454969 205891132094657
(if (x - 2) <= 0 then (((2 + 1) * x) + 1) else ((2 + 2) * 2))
A115291: 1 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8
(((loop(\(x,i).(x * x),x,2) + x) div 2) + ((2 + 2) * 2))
A100595: 9 10 17 137
((loop(\(x,i).i,((x div 2) - 1),1) + x) + ((2 + 2) * 2))
A121816: 9 10 11 12 13 14 16 17 19 20 22 23 25 26 28 29
loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,((2 + 2) * 2))
A199310: 8 36 176 876 4376 21876 109376 546876 2734376 13671876 68359376 341796876 1708984376 8544921876 42724609376 213623046876
((if (x mod (2 + 1)) <= 0 then 1 else 0) + (x div ((2 + 2) * 2)))
A029316: 1 0 0 1 0 0 1 0 1 2 1 1 2 1 1 2
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,((2 + 2) * 2))
A145182: 8 536 153992264 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,((2 + 2) * 2))
A282180: 8 488 116212808 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,((2 + 2) * 2))
A198768: 8 44 224 1124 5624 28124 140624 703124 3515624 17578124 87890624 439453124 2197265624 10986328124 54931640624 274658203124
loop(\(x,i).((x div ((2 + 2) * 2)) + x),x,((2 + 2) * 2))
A182361-A023391: 8 9 10 11 12 13 14 15 16 18 20 22 24 27 30 33
(loop(\(x,i).(x div (2 - (x mod 2))),x,x) * ((2 + 2) * 2))
A109049: 0 8 8 24 8 40 24 56 8 72 40 88 24 104 56 120
loop(\(x,i).(x * x),2,(((x * x) * x) * ((2 + 2) * 2)))
A016752: 0 4096 16777216 2176782336 68719476736 1000000000000 8916100448256 56693912375296 281474976710656 1156831381426176 4096000000000000 12855002631049216 36520347436056576 95428956661682176 232218265089212416 531441000000000000
(x - ((if x <= 0 then 1 else x) div (((2 - x) div (2 + 2)) - 2)))
A286689: 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17 18
((if x <= 0 then 0 else 1) - (x div (((2 - x) div (2 + 2)) - 2)))
A130239: 0 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4
loop(\(x,i).(x * x),1,(x div (((2 - x) div (2 + 2)) - 2)))
A048760: 0 1 1 1 4 4 4 4 4 9 9 9 9 9 9 9
(loop(\(x,i).(x * x),1,(((x + 2) * x) + (2 + 2))) * 2)
A190176: 32 98 288 722 1568 3042 5408 8978 14112 21218 30752 43218 59168 79202 103968 134162
(loop(\(x,i).(x * x),1,(((x div 2) + x) + (2 + 2))) * 2)
A176542: 32 50 98 128 200 242 338 392 512 578 722 800 968 1058 1250 1352
((if ((x div (2 + 1)) mod 2) <= 0 then 1 else (x div (2 + 2))) mod 2)
A318924: 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1
loop(\(x,i).(x * 2),(x div 2),((2 - (x mod (2 + 2))) div 2))
A102561: 1 0 0 ~2 4 0 0 ~8 16 0 0 ~32 64 0 0 ~128
(loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(2 + 2)) div 2)
A094680: 2 26 70226 1385331749802026 4611686018427387903
loop(\(x,i).((x * 2) * 2),((((2 + 1) * x) + 2) * 2),2)
A013789: 512 2097152 8589934592 35184372088832 144115188075855872 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017618: 64 400 1024 1936 3136 4624 6400 8464 10816 13456 16384 19600 23104 26896 30976 35344
loop(\(x,i).(x * x),2,(((((2 + 1) * x) + 2) * 2) * 2))
A017620: 4096 160000 1048576 3748096 9834496 21381376 40960000 71639296 116985856 181063936 268435456 384160000 533794816 723394816 959512576 1249198336
(loop(\(x,i).(x * 2),x,((((x + 1) * x) div 2) + 2)) div 2)
A188545: 1 3 10
A104270: 1 3 10 32 96 272 736 1920 4864 12032 29184 69632 163840 380928 876544 1998848
(loop(\(x,i).(x * 2),x,((((x - 1) * x) div 2) + 2)) div 2)
A053730: 1 2 6 20 64 192 544 1472 3840 9728 24064 58368 139264 327680 761856 1753088
(loop(\(x,i).(i * x),x,((((x - 1) * x) div 2) + 2)) div 2)
A076301: 1 1 3 15 96 720 6120 57960 604800 6894720 85276800 1137628800 16286054400 249080832000 4053790540800 69960578688000
(x - (((x - loop(\(x,i).((x * x) + 1),x,2)) div 2) div 2))
A105232: 1 2 8 172
((((if x <= 0 then (((2 + 2) + 1) * 2) else x) + 2) * 2) * 2)
A087407: 48 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68
(((x - 1) div (((if (x mod 2) <= 0 then 2 else x) div 2) + 2)) mod 2)
A288855: 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 2) * 2)
A086575: 0 36 396 3996 39996 399996 3999996 39999996 399999996 3999999996 39999999996 399999999996 3999999999996 39999999999996 399999999999996 3999999999999996
((((x div 2) + 2) div ((if (x mod 2) <= 0 then x else 2) + 2)) mod 2)
A173861: 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0
(x - (((2 - x) div (((if x <= 0 then 2 else x) div 2) + 2)) - 2))
A183217: 2 3 4 6 7 8 9 10 11 13 14 15 16 17 18 19
(((x * x) mod ((if (x mod 2) <= 0 then 1 else (x + 2)) + 2)) mod 2)
A228039: 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0
(if x <= 0 then 1 else (((((x * x) + 2) div (x + 2)) * 2) * 2))
A086663: 1 4 4 8 12 12 16 20 24 28 32 36 40 44 48 52
(loop(\(x,i).((x * x) * x),(2 + 1),((x + 2) + 2)) div 2)
A320865: 9007199254740992 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (((x div 2) - 2) - 2) <= 0 then x else (((x + 2) + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A102489-A004838: 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21
loop(\(x,i).(((2 + 2) + 1) * x),x,(((x + 2) + 2) + 2))
A079027: 6 35 200 1125 6250 34375 187500 1015625 5468750 29296875 156250000 830078125 4394531250 23193359375 122070312500 640869140625
((if x <= 0 then 1 else x) - ((x * x) div (((x + 2) + 2) + 2)))
A278044: 1 1 2 2 3 3 3 4 4 4 4 4 4 5 5 5
loop(\(x,i).(((2 + 2) + 1) * x),x,(((x + 2) * 2) * 2))
A159727: 8 60 400 2500 15000 87500 500000 2812500 15625000 85937500 468750000 2539062500 13671875000 73242187500 390625000000 2075195312500
(((if ((x div 2) mod (2 + 1)) <= 0 then x else (x + 2)) div 2) div 2)
A156080: 0 0 1 1 1 1 1 1 2 2 3 3 3 3 4 4
(if x <= 0 then 1 else (((((x - 1) * x) div (x + 2)) mod 2) * 2))
A226914: 1 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0
(loop(\(x,i).(((x * x) div (i + 1)) + x),(x + 2),2) + 2)
A093382: 11 31 199
loop(\(x,i).(x * x),(2 + 1),(x - (((x * 2) * 2) * 2)))
A016988: 0 5764801 1475789056 37822859361 377801998336 2251875390625 9682651996416 33232930569601 96717311574016 248155780267521 576480100000000 1235736291547681 2478758911082496 4702525276151521
(loop(\(x,i).(x * x),2,(x * x)) + (((x * 2) * 2) * 2))
A180358: 0 9 272 6585 65568 390665 1679664 5764857 16777280 43046793 100000080 214358969 429981792 815730825 1475789168 2562890745
(loop(\(x,i).(((i + 2) * (i + 1)) + x),(x * 2),2) * 2)
A199833: 4 40 140 336 660 1144 1820 2720 3876 5320 7084 9200 11700 14616 17980 21824
(((if x <= 0 then 2 else ((x div (2 + 1)) * (x div 2))) div 2) mod 2)
A200261: 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1
((if x <= 0 then 1 else ((((x * 2) * 2) - (x div 2)) * 2)) + 2)
A063109: 3 10 16 24 30 38 44 52 58 66 72 80 86 94 100 108
(if x <= 0 then 2 else (((x div 2) + x) div (((x div 2) + 2) + 2)))
A129753: 2 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2
(((if (x mod (2 + 1)) <= 0 then 1 else x) mod ((x div 2) + 2)) mod 2)
A267269: 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1
(((if (x mod 2) <= 0 then (1 - x) else x) mod ((x div 2) + 2)) mod 2)
A339052: 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0
(1 - (if (x mod (2 + 1)) <= 0 then 1 else (((x div 2) mod 2) * 2)))
A174784: 0 1 ~1 0 1 1 0 ~1 1 0 ~1 ~1 0 1 ~1 0
((if (x mod 2) <= 0 then 1 else x) div (1 - (((x div 2) mod 2) * 2)))
A009001: 1 1 ~1 ~3 1 5 ~1 ~7 1 9 ~1 ~11 1 13 ~1 ~15
((if (x - 2) <= 0 then x else ((x + 1) mod ((x mod 2) + 2))) mod 2)
A308185: 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1
(loop(\(x,i).((x * x) + 1),(x div 2),((x mod 2) + 2)) div 2)
A303792: 1 1 2 5 13 50
loop(\(x,i).((x * 2) + 1),(x div 2),(((x mod 2) + 2) * 2))
A010737: 4 6 9 13 19 27 39 55 79 111 159 223 319 447 639 895
(loop(\(x,i).(((2 + 1) * x) + 1),x,((x mod 2) + 2)) div 2)
A297445: 1 5 11 47 101 425 911 3827 8201 34445 73811 310007 664301 2790065 5978711 25110587
(loop(\(x,i).(((x div 2) + x) * 2),x,((x mod 2) + 2)) div 2)
A133125: 1 4 9 36 81 324 729 2916 6561 26244 59049 236196 531441 2125764 4782969 19131876
(0 - (if (x - 2) <= 0 then 1 else ((x mod ((x mod 2) + 2)) div 2)))
A096606: ~1 ~1 ~1 0 0 ~1 0 0 0 0 0 ~1 0 0 0 0
(loop(\(x,i).((x + 1) * 2),x,1) + (((x mod 2) * 2) * 2))
A259713: 1 8 10 26 46 98 190 386 766 1538 3070 6146 12286 24578 49150 98306
((1 - ((loop(\(x,i).((0 - x) * 2),x,x) div 2) div 2)) div 2)
A168150: 0 1 ~1 3 ~8 20 ~48 112 ~256 576 ~1280 2816 ~6144 13312 ~28672 61440
(((x * x) * (x * x)) mod loop(\(x,i).((x * x) + 2),2,2))
A070581: 0 1 16 5 28 17 4 7 30 25 6 11 26 23 36 9
(((x * 2) - (if (x - (2 + 2)) <= 0 then 0 else 1)) mod (2 + 2))
A307197: 0 2 0 2 0 1 3 1 3 1 3 1 3 1 3 1
(if ((x div (((x mod 2) + 2) + 1)) - 2) <= 0 then 1 else (2 + 2))
A196222: 1 1 1 1 1 1 1 1 1 1 4 1 4 4 4 4
(x mod (if ((x div 2) - ((2 + 1) * 2)) <= 0 then 1 else (2 + 2)))
A308980: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3
loop(\(x,i).(((x + 2) * 2) + 1),((x + 2) + 1),(2 + 2))
A304383: 67 139 283 571 1147 2299 4603 9211 18427 36859 73723 147451 294907 589819 1179643 2359291
(((x + 2) * (x + 2)) - (if (x mod 2) <= 0 then 1 else (2 + 2)))
A142717: 3 5 15 21 35 45 63 77 99 117 143 165 195 221 255 285
((if (x mod 2) <= 0 then (x * 2) else 0) + ((x + 1) mod (2 + 2)))
A199398: 1 2 7 0 9 2 15 0 17 2 23 0 25 2 31 0
loop(\(x,i).((x * 2) * 2),(((x * 2) + 1) * 2),(2 + 2))
A013781: 64 16384 4194304 1073741824 274877906944 70368744177664 18014398509481984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then (x - 2) else (2 + 2))
A088899: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 12 4
(x - (if (x - ((2 + 2) * (2 + 1))) <= 0 then x else (2 + 2)))
A048048: 0 0 0 0 0 0 0 0 0 0 0 0 0 9 10 11
(((if (x - 2) <= 0 then (x * 2) else (2 + 1)) + x) + (2 + 2))
A093465: 4 7 10 10 11
loop(\(x,i).(x - (2 - ((x * 2) * (2 + 1)))),x,(2 + 2))
A199490: 4 26 180 1258 8804 61626 431380 3019658 21137604 147963226 1035742580 7250198058 50751386404 355259704826 2486817933780 17407725536458
(loop(\(x,i).((x + 2) * 2),x,((x - 1) * x)) div (2 + 2))
A053545: 0 1 5 19 63 191 543 1471 3839 9727 24063 58367 139263 327679 761855 1753087
((loop(\(x,i).(((x - 1) div 2) * i),x,1) + x) mod (2 + 2))
A206705: 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 3
(((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) + (2 + 2))
A268541: 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21
(x - (if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (2 + 2)))
A048015: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11
(x - (if ((x div 2) - ((2 + 1) * 2)) <= 0 then x else (2 + 2)))
A048002: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 11
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),x,(2 + 2))
A013823: 4 128 4096 131072 4194304 134217728 4294967296 137438953472 4398046511104 140737488355328 4503599627370496 144115188075855872 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x - (2 + 2)) mod ((2 + 2) * 2)) <= 0 then x else (2 + 2))
A290205: 4 4 4 4 4 4 4 4 4 4 4 4 12 4 4 4
loop(\(x,i).(((((x + 1) * x) div 2) + 2) + 2),x,(2 + 2))
A283793: 4 14 109 5999 17997004 161946085486514 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x - 1) * x) div 2) + 2) + 2),x,(2 + 2))
A151611: 4 10 49 1180 695614 241939070695 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (x * 2)) - (((x div 2) + x) div (2 + 2)))
A026351: 1 2 4 5 7 9 10 12 13 15 17 18 20 22 23 25
((if (x mod ((2 + 2) * 2)) <= 0 then 0 else 1) + (x div (2 + 2)))
A131849-A090736-A090735: 0 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4
(if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else (x div (2 + 2)))
A025794: 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3
loop(\(x,i).i,((x + 1) mod ((2 + 2) + 1)),(x div (2 + 2)))
A277543: 1 2 3 4 1 1 2 3 4 2 1 2 3 4 3 1
((if x <= 0 then 2 else ((x + 1) * (2 + 1))) + (x div (2 + 2)))
A186500: 2 6 9 12 16 19 22 25 29 32 35 38 42 45 48 51
((2 + 1) div (if (x - (2 + 2)) <= 0 then 2 else (x div (2 + 2))))
A110566: 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1
(((if (2 - x) <= 0 then 2 else 1) + (x mod 2)) + (x div (2 + 2)))
A105096: 1 2 2 3 3 4 3 4 4
A226164: 1 2 2 3 3 4 3 4 4 5 4 5 5 6 5 6
((if x <= 0 then 1 else ((0 - x) mod (2 + 2))) - (x mod (2 + 2)))
A084099: 1 2 0 ~2 0 2 0 ~2 0 2 0 ~2 0 2 0 ~2
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),x,(2 + 2))
A222138: 4 52 676 8788 114244 1485172 19307236 250994068 3262922884 42417997492 551433967396 7168641576148 93192340489924 1211500426369012 15749505542797156 204743572056363028
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,(2 + 2))
A198687: 4 34 244 1714 12004 84034 588244 4117714 28824004 201768034 1412376244 9886633714 69206436004 484445052034 3391115364244 23737807549714
(loop(\(x,i).(((x * x) + 1) * 2),2,(x * x)) - (2 + 2))
A088256: 6 30 2310
loop(\(x,i).(x * x),1,((x * x) - ((x * x) div (2 + 2))))
A212503: 0 1 9 49 144 361 729 1369 2304 3721 5625 8281 11664 16129 21609 28561
(loop(\(x,i).((x mod ((i mod (x + 1)) + 1)) + 1),x,2) div 2)
A167746-A050374-A050370: 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 2
(((x - (2 mod (if (x mod (2 + 1)) <= 0 then 1 else x))) div 2) mod 2)
A228487: 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1
loop(\(x,i).(x * x),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017318: 16 196 576 1156 1936 2916 4096 5476 7056 8836 10816 12996 15376 17956 20736 23716
loop(\(x,i).(x * x),2,(((((2 + 2) + 1) * x) + 2) * 2))
A017320: 256 38416 331776 1336336 3748096 8503056 16777216 29986576 49787136 78074896 116985856 168896016 236421376 322417936 429981696 562448656
(loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),x,2) div 2)
A083232: 1 5 37 257 1801 12605 88237 617657 4323601 30265205 211856437 1482995057 10380965401 72666757805 508667304637 3560671132457
loop(\(x,i).(x * x),(2 + 1),((((2 + 1) * x) + 2) * 2))
A016964: 65536 100000000 4294967296 54875873536 377801998336 1785793904896 6553600000000 20047612231936 53459728531456 128063081718016 281474976710656 576480100000000 1113034787454976 2044140858654976
loop(\(x,i).((x * x) * x),1,((((2 + 1) * x) + 2) * 2))
A016959: 64 1000 4096 10648 21952 39304 64000 97336 140608 195112 262144 343000 438976 551368 681472 830584
loop(\(x,i).((x * x) * x),2,((((2 + 1) * x) + 2) * 2))
A016965: 262144 1000000000 68719476736 1207269217792 10578455953408 60716992766464 262144000000000 922190162669056 2779905883635712 7427658739644928 18014398509481984 40353607000000000 84590643846578176
(loop(\(x,i).((i + 1) * x),x,(((2 + 1) * x) + 2)) div 2)
A112613: 1 5 24
A066118: 1 5 24 132 840 6120 50400 463680 4717440 52617600 638668800 8382528000 118313395200 1787154969600 28768836096000 491685562368000
((if x <= 0 then 1 else ((((1 - x) div (2 + 1)) * x) div 2)) mod 2)
A164364: 1 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0
loop(\(x,i).(x * 2),((((x * x) div (2 + 1)) + x) div 2),2)
A291338: 2 2 4 16 32 128 1024 4096 32768 524288 4194304 67108864 2147483648 34359738368 1099511627776 70368744177664
(loop(\(x,i).(((x * 2) - ((i * x) mod 2)) + 1),x,2) div 2)
A292528: 1 2 5 11 22
A266721: 1 2 5 11 22 45 90 181 362 725 1450 2901 5802 11605 23210 46421
((loop(\(x,i).(((2 + 1) * x) - 1),(x + 1),x) div 2) + 2)
A088581: 1 4 22 103 427 1642 6016 21325 73813 250960 841450 2790067 9167359 29893558 96855124 312088729
(loop(\(x,i).(x * 2),x,(2 - (((x + 1) * x) div 2))) div 2)
A127276: 1 1 ~2 ~16 ~64 ~208 ~608 ~1664 ~4352 ~11008 ~27136 ~65536 ~155648 ~364544 ~843776 ~1933312
(((x * x) * (x * x)) mod loop(\(x,i).((x + 1) * x),2,2))
A070585: 0 1 16 39 4 37 36 7 22 9 4 25 30 1 28 15
(((((x div 2) * (x div 2)) mod (if x <= 0 then 1 else x)) div 2) div 2)
A288166: 0 0 0 0 0 1 0 0 0 1 1 0 0 2 1 1
(((loop(\(x,i).((i + x) + x),(x + 1),2) * x) + 2) * 2)
A058227: 4 28 112 352 972 2484 6040 14200
(loop(\(x,i).((x * 2) - ((i - 1) div (2 + 2))),x,2) div 2)
A222011: 1 2 4 8
A018487: 1 2 4 8 16 31 62 124 248 496
((if x <= 0 then 2 else (x - (((x div (2 + 2)) - x) div 2))) div 2)
A248183: 1 1 1 2 3 3 4 5 5 6 7 8 8 9 10 10
(loop(\(x,i).(x * x),1,((x mod 2) - ((2 - x) div 2))) + 2)
A267942: 3 3 2 6 3 11 6 18 11 27 18 38 27 51 38 66
((if (x - 1) <= 0 then x else (((2 + 2) + 1) * (x + 2))) + 2)
A298470: 2 3 22 27 32 37 42 47 52 57 62 67 72 77 82 87
(((loop(\(x,i).(x * x),2,(x + 2)) - 1) * (x + 2)) div 2)
A027484: 15 120 510 1560 3885 8400 16380 29520 49995 80520 124410 185640 268905 379680 524280 709920
(((loop(\(x,i).((i + x) + x),x,2) - 1) * (x + 2)) div 2)
A003469: 1 6 22 65 171 420 988 2259 5065 11198 24498 53157 114583 245640 524152 1113959
((loop(\(x,i).(((2 + 1) * x) + 1),x,1) * (x + 2)) div 2)
A261064: 1 6 26 100 363 1274 4372 14760 49205 162382 531438 1727180 5580127 17936130 57395624 182948560
((x - (loop(\(x,i).((x - 1) * i),x,1) div (x + 2))) + 2)
A192578-A140768: 2 3 5 7 13 37
((loop(\(x,i).((x div 2) + x),(x - 1),2) div (x + 2)) div 2)
A035563: 0 0 0 0 0 0 0 1 1 1 2 3 5 7 9 13
((2 - ((if (x mod 2) <= 0 then (x div 2) else 2) * (x + 2))) div 2)
A110332: 1 ~2 ~1 ~4 ~5 ~6 ~11 ~8 ~19 ~10 ~29 ~12 ~41 ~14 ~55 ~16
((x - loop(\(x,i).((x div 2) - (x * x)),2,(x + 2))) div 2)
A289947: 5 34 102
((if ((2 - x) + 2) <= 0 then (x - 2) else 0) * ((x + 2) + 2))
A286429: 0 0 0 0 16 27 40 55 72 91 112 135 160 187 216 247
((if x <= 0 then 1 else x) - (((x * x) + 1) div ((x + 2) + 2)))
A134021: 1 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4
loop(\(x,i).(x mod ((x div (2 + 2)) + 2)),2,((x + 2) + 2))
A238406: 1 0 0 1 0 1 0 1 0 1 1 0 1 2 0 1
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else ((x + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A072089-A072088: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19
(loop(\(x,i).(((i + 2) * x) div 2),x,x) div ((x + 2) + 2))
A274326: 0 0 1 2 11 40
((if ((x div 2) - 1) <= 0 then (x mod 2) else 0) + ((x + 2) * 2))
A319926: 4 7 8 11 12 14 16
(loop(\(x,i).((((x + 2) + 2) + 2) * 2),x,(x + 2)) div 2)
A048468: 1 9 26 62 138 298 634 1338 2810 5882 12282 25594 53242 110586 229370 475130
(loop(\(x,i).((((i * 2) + 1) * x) * 2),x,(x + 2)) div 2)
A002691: 1 9 120 2100 45360 1164240 34594560 1167566400 44108064000 1843717075200 84475764172800 4209708914611200 226676633863680000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,(x + 2)) div 2)
A195857: 1 11 32 76 168 360 760 1592 3320 6904 14328 29688 61432 126968 262136 540664
((if (x mod (2 + 1)) <= 0 then 1 else ((x * x) div (x + 2))) mod 2)
A307183: 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1
(loop(\(x,i).((((x div 2) + x) div 2) + i),x,(x + 2)) div 2)
A320848: 1 1 2 3 4 5 7 9 10 12 14 16 18 20 22 24
(x mod (if ((x - 1) mod ((2 + 2) * 2)) <= 0 then (x - 2) else 2))
A280800: 0 0 0 1 0 1 0 1 0 2 0 1 0 1 0 1
(if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else ((x - 2) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A023768: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 26
((x * x) - (loop(\(x,i).((x * x) * x),x,(x - 2)) div 2))
A302349: 1 2 4 9 4611686018427387903
loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x * 2),2)
A099976: 2 20 252 3432 48620 705432 10400600 155117520 2333606220 35345263800 538257874440 8233430727600 126410606437752 1946939425648112 30067266499541040 465428353255261088
(loop(\(x,i).(((x * x) - (2 + 1)) * x),2,(x * 2)) div 2)
A243135: 0 1 70226 3880899 58106404 456335045 2421980406 9863382151 33165873224 96450076809 250283080090 592479412811 1300371936876 2678768828749 5228741809214 9743412645135
loop(\(x,i).(((i * i) mod (2 + 1)) + (x * 2)),(x * 2),2)
A037639: 2 11 45 182 731 2925 11702 46811 187245 748982 2995931 11983725 47934902 191739611 766958445 3067833782
loop(\(x,i).((x * 2) * (2 + 1)),x,(1 - ((x * 2) * 2)))
A144708: 1 ~18 ~252 ~2376 ~19440 ~147744 ~1073088 ~7558272 ~52068096 ~352719360 ~2358180864 ~15600273408 ~102308769792 ~666095394816 ~4310029025280 ~27740914089984
(((if x <= 0 then 2 else ((x - 1) * x)) div 2) + ((x * 2) * 2))
A134227: 1 4 9 15 22 30 39 49 60 72 85 99 114 130 147 165
(if ((x + 2) mod (2 + 2)) <= 0 then (x div 2) else ((x * 2) * 2))
A187541: 0 4 1 12 16 20 3 28 32 36 5 44 48 52 7 60
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x * 2),2)
A324272: 2 338 57122 9653618 1631461442 275716983698 46596170244962 7874752771398578 1330833218366359682 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (x div ((i + 2) + 1))),x,(x * 2)) + 2)
A238461: 2 4 5 6 7 8 8 9 9 10 10 11 11 11 12 12
((if x <= 0 then 1 else (((x div (2 + 1)) + 1) * (x div 2))) mod 2)
A228747: 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0
((if x <= 0 then 1 else (((x - 1) div (2 + 1)) * (x div 2))) mod 2)
A122276: 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0
((if (x mod 2) <= 0 then x else (((x * 2) * 2) - (x div 2))) div 2)
A318972: 0 2 1 5 2 9 3 12 4 16 5 19 6 23 7 26
((((if (x mod 2) <= 0 then 1 else x) + (x div 2)) * (x div 2)) div 2)
A245467: 0 0 1 2 3 7 6 15 10 26 15 40 21 57 28 77
((((x + 1) * x) + (if x <= 0 then 1 else 2)) * ((x div 2) + 2))
A171261: 2 8 24 42
(((if (x mod (2 + 2)) <= 0 then 1 else 2) + x) + ((x div 2) + 2))
A295075: 3 5 7 8 9 11 13 14 15 17 19 20 21 23 25 26
((if (x - 2) <= 0 then 1 else ((x - 2) * 2)) + ((x div 2) mod 2))
A189887: 1 1 2 3 4 6 9 11 12 14 17 19 20 22 25 27
((if (x mod 2) <= 0 then ((x + 2) + 1) else x) - ((x div 2) mod 2))
A067060: 3 1 4 2 7 5 8 6 11 9 12 10 15 13 16 14
loop(\(x,i).((x * x) * 2),(x div 2),(x - ((x div 2) mod 2)))
A054874: 0 1 2 8 2048
((((x * x) - 2) div ((if x <= 0 then 1 else x) + (x div 2))) mod 2)
A288640: 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0
(((1 - (x * x)) div ((if x <= 0 then 1 else x) + (x div 2))) mod 2)
A100060: 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1
((loop(\(x,i).((x + 2) * 2),x,(2 + 1)) + (x mod 2)) + 2)
A322417: 5 13 26 55 110 223 446 895 1790 3583 7166 14335 28670 57343 114686 229375
((loop(\(x,i).(((2 + 1) * x) + 1),x,1) - (x mod 2)) * 2)
A322116: 2 6 26 78 242 726 2186 6558 19682 59046 177146 531438 1594322 4782966 14348906 43046718
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then (x mod 2) else 2)
A201219: 0 1 2 1 2 2 2 1 2 2 2 2 2 2 2 1
loop(\(x,i).(x * 2),(((x * x) * (x + 1)) + (x mod 2)),2)
A092798: 2 16 8192 274877906944 4611686018427387903 4611686018427387903
(if ((x mod (((x mod 2) + 2) + 2)) - 2) <= 0 then (x mod 2) else 2)
A267860: 0 1 0 2 0 1 0 1 0 2 0 1 0 2 0 1
((loop(\(x,i).(x * 2),x,((x mod 2) + 2)) - (x mod 2)) div 2)
A277867: 1 2 4 11 16 47 64 191 256 767 1024 3071 4096 12287 16384 49151
loop(\(x,i).((2 + 1) * x),(x div 2),((2 - (x mod 2)) + 2))
A162766: 4 3 12 9 36 27 108 81 324 243 972 729 2916 2187 8748 6561
(if (x - (2 + 2)) <= 0 then 1 else (x mod ((2 - (x mod 2)) * 2)))
A334462: 1 1 1 1 1 1 2 1 0 1 2 1 0 1 2 1
(loop(\(x,i).((2 + 2) * (x + 1)),(x div 2),(x mod 2)) + 2)
A137208: 2 3 6 10 22 38 86 150 342 598 1366 2390 5462 9558 21846 38230
(loop(\(x,i).((x * 2) * (2 + 1)),x,2) div ((x mod 2) + 2))
A083223: 1 4 36 144 1296 5184 46656 186624 1679616 6718464 60466176 241864704 2176782336 8707129344 78364164096 313456656384
(if ((x + 1) mod ((2 + 1) * 2)) <= 0 then x else ((x mod 2) + 2))
A060395: 2 3 2 3 2 5 2 3 2 3 2 11 2 3 2 3
((if (x mod (2 + 1)) <= 0 then 1 else 2) * (1 - ((x mod 2) * 2)))
A131714: 1 ~2 2 ~1 2 ~2 1 ~2 2 ~1 2 ~2 1 ~2 2 ~1
loop(\(x,i).(1 - ((x * 2) * 2)),x,(1 - ((x mod 2) * 2)))
A113876: 1 5 13 77 205 1229 3277 19661 52429 314573 838861 5033165 13421773 80530637 214748365 1288490189
(loop(\(x,i).((i mod 2) + (x * 2)),x,1) - ((x mod 2) * 2))
A140359: 1 1 6 11 26 51 106 211 426 851 1706 3411 6826 13651 27306 54611
((if (x mod (2 + 1)) <= 0 then 1 else (0 - 2)) + ((x mod 2) * 2))
A079757: 1 0 ~2 3 ~2 0 1 0 ~2 3 ~2 0 1 0 ~2 3
(loop(\(x,i).((x * 2) + 1),x,(2 + 2)) + ((x mod 2) * 2))
A321643: 4 11 19 41 79 161 319 641 1279 2561 5119 10241 20479 40961 81919 163841
(loop(\(x,i).((x * 2) + 1),(x div 2),2) + ((x mod 2) * 2))
A097581: 2 4 5 7 11 13 23 25 47 49 95 97 191 193 383 385
(((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 2)
A092067-A092028: 2 3 2 5 2 7 2 3 2 11 2 13 2 3 2 17
(((2 mod (if (x mod (2 + 1)) <= 0 then 1 else x)) - (x mod 2)) + 2)
A341827: 2 1 2 1 4 3 2 3 4 1 4 3 2 3 4 1
(loop(\(x,i).((((i * i) * 2) div (x + 1)) + x),x,2) div 2)
A062427: 1 1 2 3 5 7 9 11 14 16 19 22 25 28 31 34
(((if (x - 2) <= 0 then 2 else (x * x)) * ((x * x) + 2)) div 2)
A097350: 2 3 6 49
(((if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 1 else 0) + x) div 2)
A194204: 0 1 1 1 2 2 3 3 4 4 5 6 6 6 7 7
(1 - (x mod (((if (x mod (2 + 2)) <= 0 then 2 else 0) - x) * 2)))
A001438: 1 2 3 4 1 6 7 8
A109680: 1 2 3 4 1 6 7 8 5 10 11 12 9 14 15 16
((loop(\(x,i).(i - ((i + 1) mod (x + 1))),x,0) + x) + 2)
A004754: 2 4 5 8 9 10 11 16 17 18 19 20 21 22 23 32
((loop(\(x,i).((i + x) - (x div (2 + 2))),x,0) + x) + 2)
A003068: 2 4 7 11 15 19 23 28 33 38 43 48 53 58 63 68
loop(\(x,i).(x - ((x div ((i div (0 - 2)) - 1)) - 1)),x,2)
A002789: 2 4 7 11 16 21 28 35 43 52 62 72 84 96 109 123
((if (x mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 1 else x) mod 2)
A254651: 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1
((loop(\(x,i).i,((((x + 1) div 2) div 2) - 1),1) + x) + 2)
A154660: 3 4 5 6 7 8
A298113: 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 20
((loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) + x) + 2)
A154660: 3 4 5 6 7 8
A283810-A130231: 3 4 5 6 7 8 9 10 11 12 13 15 17 19 21 23
loop(\(x,i).((((x * 2) - 1) * ((2 + 2) + 1)) - 1),x,2)
A073553: 2 14 134 1334 13334 133334 1333334 13333334 133333334 1333333334 13333333334 133333333334 1333333333334 13333333333334 133333333333334 1333333333333334
((if ((x - 2) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else x) mod 2)
A086299: 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1
(2 - ((if (x mod ((x div (2 + 2)) + 1)) <= 0 then 1 else x) mod 2))
A266871: 1 1 1 1 1 1 1 1 2 1 2 1 1 1 2 1
((loop(\(x,i).i,(((x - 1) div 2) - (2 + 1)),1) + x) + 2)
A154660: 3 4 5 6 7 8
A026447: 3 4 5 6 7 8 9 10 11 12 13 15 16 18 19 21
((if (((2 + 2) * 2) mod ((x div 2) + 1)) <= 0 then 1 else x) mod 2)
A255339: 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1
(((if (x mod (((x div 2) + 2) + 1)) <= 0 then 2 else 1) + x) div 2)
A135304: 1 1 1 2 2 3 4 4 4 5 5 6 6 7 7 8
(((if ((x div (2 + 2)) mod (2 + 1)) <= 0 then 2 else 1) + x) div 2)
A135636: 1 1 2 2 2 3 3 4 4 5 5 6 7
loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,2)
A100893: 2 23 233 2333 23333
A198972: 2 23 233 2333 23333 233333 2333333 23333333 233333333 2333333333 23333333333 233333333333 2333333333333 23333333333333 233333333333333 2333333333333333
loop(\(x,i).((((((2 + 2) + 1) * x) - 1) * 2) - 1),x,2)
A126109: 2 17 167 1667 16667 166667 1666667 16666667 166666667 1666666667 16666666667 166666666667 1666666666667 16666666666667 166666666666667 1666666666666667
(if x <= 0 then 1 else ((((((x * x) + 1) * 2) + 1) * x) * 2))
A008532: 1 10 44 126 280 530 900 1414 2096 2970 4060 5390 6984 8866 11060 13590
loop(\(x,i).(((x - ((2 - x) * (2 + 2))) * 2) + 1),x,2)
A133473: 2 5 35 335 3335 33335 333335 3333335 33333335 333333335 3333333335 33333333335 333333333335 3333333333335 33333333333335 333333333333335
loop(\(x,i).(x - ((1 - (x * 2)) * ((2 + 2) + 1))),x,2)
A199751: 2 17 182 1997 21962 241577 2657342 29230757 321538322 3536921537 38906136902 427967505917 4707642565082 51784068215897 569624750374862 6265872254123477
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) + 1) * x) + 2))
A016880: 256 5764801 429981696 6975757441 54875873536 282429536481 1099511627776 3512479453921 9682651996416 23811286661761 53459728531456 111429157112001 218340105584896 406067677556641 722204136308736 1235736291547681
loop(\(x,i).((x + 1) * x),1,((((2 + 2) + 1) * x) + 2))
A177059: 6 56 156 306 506 756 1056 1406 1806 2256 2756 3306 3906 4556 5256 6006
loop(\(x,i).((x * x) * x),1,((((2 + 2) + 1) * x) + 2))
A016875: 8 343 1728 4913 10648 19683 32768 50653 74088 103823 140608 185193 238328 300763 373248 456533
loop(\(x,i).((x * x) * x),2,((((2 + 2) + 1) * x) + 2))
A016881: 512 40353607 5159780352 118587876497 1207269217792 7625597484987 35184372088832 129961739795077 406671383849472 1119130473102767 2779905883635712 6351461955384057 13537086546263552 27206534396294947
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) + 1) * x) * 2))
A017276: 0 100000000 25600000000 656100000000 6553600000000 39062500000000 167961600000000 576480100000000 1677721600000000 4304672100000000 10000000000000000 21435888100000000 42998169600000000
loop(\(x,i).((x * x) * x),1,((((2 + 2) + 1) * x) * 2))
A017271: 0 1000 8000 27000 64000 125000 216000 343000 512000 729000 1000000 1331000 1728000 2197000 2744000 3375000
loop(\(x,i).((x * x) * x),2,((((2 + 2) + 1) * x) * 2))
A017277: 0 1000000000 512000000000 19683000000000 262144000000000 1953125000000000 10077696000000000 40353607000000000 134217728000000000 387420489000000000 1000000000000000000 2357947691000000000
loop(\(x,i).(x * x),1,(((x div ((2 + 2) + 1)) + x) + 2))
A328558: 4 9 16 25 36 64 81 100 121 144 196 225 256 289 324 400
(((loop(\(x,i).(((x * 2) + 1) * x),2,2) + 1) * x) div 2)
A242063: 0 105 211 316 422 527 633 738 844 949 1055
(loop(\(x,i).(x * 2),x,((((x + 2) + 2) + 1) * x)) + 2)
A096367: 2 14 58 194 578 1602 4226 10754 26626 64514 153602 360450 835586 1916930 4358146 9830402
loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * (2 + 1)),x,2)
A135522: 2 3 12 33 102 303 912 2733 8202 24603 73812 221433 664302 1992903 5978712 17936133
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (2 + 1) else x) + 2)
A097377: 2 3 4 5 6 7 8 5 10 11 12 13 14 15 16 5
(loop(\(x,i).(x * 2),x,(((2 + 2) * (2 + 1)) + x)) div 2)
A159694: 6 13 28 60 128 272 576 1216 2560 5376 11264 23552 49152 102400 212992 442368
loop(\(x,i).(2 - ((i mod 2) - ((x * 2) * (2 + 1)))),x,2)
A037491: 2 13 80 481 2888 17329 103976 623857 3743144 22458865 134753192 808519153 4851114920 29106689521 174640137128 1047840822769
(((loop(\(x,i).((i * i) + x),x,2) div (2 + 1)) + x) div 2)
A175812: 0 1 2 4 7 12 18 27 38 52 69 90 114 143 176 214
loop(\(x,i).(x div ((x mod 2) - 2)),2,(((2 + 1) * x) + 2))
A302773: 1 5 2 11 7 17 5 23 13 29 8 35 19 41 11 47
loop(\(x,i).(((((x * x) * 2) + 1) * x) div (2 + 1)),x,2)
A099185: 2 6 146 2074806 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then 2 else ((x * x) * (2 + 1))) * x) + 2)
A244434: 2 5 6 83
loop(\(x,i).(x * x),1,((((x * x) * (2 + 1)) + x) div 2))
A100256: 0 4 49 225 676 1600 3249 5929 10000 15876 24025 34969 49284 67600 90601 119025
loop(\(x,i).((((x * 2) + 1) * 2) - (i mod (2 + 1))),x,2)
A037521: 2 9 36 146 585 2340 9362 37449 149796 599186 2396745 9586980 38347922 153391689 613566756 2454267026
loop(\(x,i).((((2 + 1) * x) + 2) - (i mod (2 + 1))),x,2)
A037520: 2 7 21 65 196 588 1766 5299 15897 47693 143080 429240 1287722 3863167 11589501 34768505
((loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) * x) div 2)
A293615: 0 60 360 1260 3360 7560 15120 27720 47520 77220 120120 180180 262080 371280 514080 697680
((loop(\(x,i).(((i - 1) * i) + x),(x - 2),1) * x) * 2)
A319575: 0 2 4 6 24 90 252 574 1136 2034 3380 5302 7944 11466 16044 21870
loop(\(x,i).(((((x * 2) * 2) * 2) + (x mod 2)) + 1),x,2)
A037493: 2 17 138 1105 8842 70737 565898 4527185 36217482 289739857 2317918858 18543350865 148346806922 1186774455377 9494195643018 75953565144145
loop(\(x,i).(((i * x) * (2 + 2)) * ((i * 2) + 1)),x,2)
A122551: 2 24 960 80640 11612160 2554675200 797058662400 334764638208000 182111963185152000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x - (i mod (2 + 2))) div 2) + x) + 1),x,2)
A222431: 2 3 4 5 8 12 18 26 40 60 90 134 202 303 454 680
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 2)
A028815: 2 3 4 6 8 12 14 18 20 24 30 32 38 42 44 48
loop(\(x,i).((2 - (x div ((i * 2) + 1))) * (x + 1)),x,2)
A157671: 2 6 7 8 18 19 20 21 22 23 24 25 26 54 55 56
(loop(\(x,i).((x * x) + 1),((2 + 2) * (x + 1)),x) div 2)
A262298-A102910: 13 4611686018427387903
A322517-A228033: 13 4611686018427387903 4611686018427387903
A257375: 13 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A257369-A257308: 13 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(((2 + 2) * (x + 1)) + x),2)
A320861: 512 524288 536870912 549755813888 562949953421312 576460752303423488 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((((2 + 2) * (x + 1)) + x) * 2))
A017366: 64 324 784 1444 2304 3364 4624 6084 7744 9604 11664 13924 16384 19044 21904 24964
loop(\(x,i).(x * x),2,((((2 + 2) * (x + 1)) + x) * 2))
A017368: 4096 104976 614656 2085136 5308416 11316496 21381376 37015056 59969536 92236816 136048896 193877776 268435456 362673936 479785216 623201296
((loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) + x) + 2)
A158310: 362 723 1084 1445 1806 2167 2528 2889 3250 3611 3972 4333 4694 5055 5416 5777
(((if (x - 1) <= 0 then x else ((x mod 2) * (x + 1))) + x) + 2)
A227906: 2 4 4 9 6 13 8 17 10 21 12 25 14 29 16 33
(((if (x - (2 + 2)) <= 0 then 2 else 0) + ((x + 1) * x)) div 2)
A261993: 1 2 4 7 11 15 21 28 36 45 55 66 78 91 105 120
((loop(\(x,i).(x * 2),(x div 2),2) - ((x + 1) * x)) div 2)
A163417: 1 0 ~1 ~4 ~6 ~11 ~13 ~20 ~20 ~29 ~23 ~34 ~14 ~27 23 8
(((if (x mod 2) <= 0 then 1 else x) + x) + (((x + 1) * x) div 2))
A267353: 1 3 6 12 15 25 28 42 45 63 66 88 91 117 120 150
(loop(\(x,i).((((x * 2) - 1) * x) - 1),(x - 1),x) + 2)
A201363: 2 3 7
A062615: 2 3 7 379
((loop(\(x,i).((2 + 1) * x),x,2) - ((x - 1) * x)) div 2)
A182453: 1 3 8 24 75 233 714 2166 6533 19647 59004 177092 531375 1594245 4782878 14348802
(((loop(\(x,i).(x * 2),(x + 2),x) - (x - 1)) * x) div 2)
A059938: 0 4 31 141 506 1590 4593 12523 32740 82908 204755 495561 1179582 2768818 6422437 14745495
((((x mod ((2 + 2) + 1)) - 1) mod (if x <= 0 then 1 else x)) mod 2)
A327205: 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0
(((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x)) * 2)
A088116-A069816: 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10
((x - (((x + 1) mod (2 + 2)) mod (if x <= 0 then 1 else x))) + 2)
A256405: 2 3 3 5 5 5 5 9 9 9 9 13 13 13 13 17
((x * 2) - (((x div (2 + 2)) - (if x <= 0 then 1 else x)) div 2))
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A090846: 1 3 5 8 10 12 15 17 19 22 24 27 29 31 34 36
(((((x * 2) * 2) div (x + 2)) + (if x <= 0 then 1 else x)) + 2)
A107907: 3 4 6 7 8 9 11 12 13 14 15 16 17 18 19 20
((loop(\(x,i).(((x mod (2 + 2)) + 2) * x),x,1) * x) * 2)
A269760: 0 6 60 450 3000 18750 112500 656250 3750000 21093750 117187500 644531250 3515625000 19042968750 102539062500 549316406250
((((loop(\(x,i).((x * x) * x),2,x) * x) + 1) * x) div 2)
A168119: 0 1 1025 88575 2097154 24414065 181398531 988663375 4294967300 15690529809 50000000005 142655835311 371504185350 896080197025 2024782584839 4324877929695
((x * x) - (1 - loop(\(x,i).(((x div 2) + i) - 1),x,2)))
A267882: 1 1 4 10 19 30 43 58 75 94 115 138 163 190 219 250
(((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) + x) + 2)
A154660: 3 4 5 6 7 8
A191838-A118955: 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19
(loop(\(x,i).(2 - (x div ((x mod (2 + 2)) + 1))),2,x) div 2)
A335570-A305027-A303912-A293551-A135225-A124445-A099233-A096815-A096751: 1 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1
loop(\(x,i).((x - ((((i mod 2) - x) * 2) - 1)) * 2),x,2)
A092165: 2 10 62 370 2222 13330 79982 479890 2879342 17276050 103656302 621937810 3731626862 22389761170 134338567022 806031402130
loop(\(x,i).(x - ((i mod 2) - (((x * 2) + 1) * 2))),x,2)
A037490: 2 11 57 286 1432 7161 35807 179036 895182 4475911 22379557 111897786 559488932 2797444661 13987223307 69936116536
loop(\(x,i).(((((2 + 2) + 1) * x) + (i + 1)) * 2),x,2)
A099669: 2 24 246 2468 24690 246912 2469134 24691356 246913578 2469135800 24691358022 246913580244 2469135802466 24691358024688 246913580246910 2469135802469132
(loop(\(x,i).((x * x) div (((2 + 2) * 2) * 2)),2,x) div 2)
A344635: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6
loop(\(x,i).(x * 2),x,(((((2 + 2) * 2) * 2) + x) + 2))
A079862: 18 38 80 168 352 736 1536 3200 6656 13824 28672 59392 122880 253952 524288 1081344
(loop(\(x,i).(x * 2),x,((((2 + 2) * 2) * 2) + x)) div 2)
A159696: 8 17 36 76 160 336 704 1472 3072 6400 13312 27648 57344 118784 245760 507904
((loop(\(x,i).(((x * 2) + 1) * 2),(2 + 2),2) * x) * 2)
A004950-A004930: 0 1364 2728 4092 5456 6820 8184 9548 10912 12276 13640 15004 16368 17732 19096 20460
((((x div 2) + 1) div (if (x mod (2 + 2)) <= 0 then 2 else x)) mod 2)
A181011: 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0
loop(\(x,i).(x - (((2 - x) - ((x * 2) * 2)) * 2)),x,2)
A156341: 2 18 194 2130 23426 257682 2834498 31179474 342974210 3772716306 41499879362 456498672978 5021485402754 55236339430290 607599733733186 6683597071065042
((loop(\(x,i).(((i + 1) * x) - 1),x,(2 + 2)) + x) div 2)
A067353: 2 4 11 41 199 1184 8273 66163 595439 5954354 65497849 785974133 10217663663 143047291204 2145709367969 34331349887399
((x - (if (x - 2) <= 0 then 1 else ((x div (2 + 2)) * x))) mod 2)
A133101: 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0
(loop(\(x,i).(((x div (2 + 2)) + x) + i),(2 + 2),x) + 2)
A295744: 13 16 17 19 23
(loop(\(x,i).(((((x + 2) + 2) + 1) * x) div 2),2,x) * 2)
A168538: 0 24 84 204 414 750 1254 1974 2964 4284 6000 8184 10914 14274 18354 23250
(((((if x <= 0 then 1 else (x * x)) * (x - 2)) div 2) + x) + 2)
A057580: 1 2 4 9 22
loop(\(x,i).(x * 2),((((x mod 2) + (x * 2)) * 2) + x),2)
A067480: 2 256 2048 262144 2097152 268435456 2147483648 274877906944 2199023255552 281474976710656 2251799813685248 288230376151711744 2305843009213693952 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - 1) mod (2 + 1)) + ((x * 2) * 2)),x,2)
A037513: 2 8 33 134 536 2145 8582 34328 137313 549254 2197016 8788065 35152262 140609048 562436193 2249744774
loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),x,2)
A037744: 2 11 44 177 710 2843 11372 45489 181958 727835 2911340 11645361 46581446 186325787 745303148 2981212593
loop(\(x,i).(((x - 1) mod (2 + 2)) + ((x * 2) * 2)),x,2)
A037730: 2 9 36 147 590 2361 9444 37779 151118 604473 2417892 9671571 38686286 154745145 618980580 2475922323
((2 - ((if (x mod 2) <= 0 then ((x * x) div 2) else 2) + x)) div 2)
A110315: 1 ~1 ~1 ~2 ~5 ~3 ~11 ~4 ~19 ~5 ~29 ~6 ~41 ~7 ~55 ~8
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) - 2),x,2)
A199761: 2 20 218 2396 26354 289892 3188810 35076908 385845986 4244305844 46687364282 513561007100 5649171078098 62140881859076 683549700449834 7519046704948172
((loop(\(x,i).(((i * x) * x) div (x + 1)),x,2) + x) div 2)
A132346: 1 1 1 2 3 5 18
loop(\(x,i).(((((i + x) * i) div (x + 1)) + x) + 2),x,2)
A109470: 2 5 9 14 20 27 36 46 57 69 82 96 111 127 144 162
(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)
A338134-A322184-A245072-A240699-A215697-A211075-A075763-A065380-A065091-A056912-A038134: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)
A332346-A243292-A240710-A215848-A136207-A115232-A066047-A020626-A020624-A020621: 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - 2)
A172367: 1 3 7 9 13 15 19 25 27 33 37 39 43 49 55 57
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A322443-A322394-A316903-A301378-A295425-A242541-A238853-A238852-A234960-A233360-A231588-A229106-A228296-A219697-A216887-A216886-A216885-A216884-A216883-A196230-A176165-A171047-A171041-A171028-A164837-A163849-A137589-A124591-A124590-A118850-A118849-A118848-A110923-A100726-A100725-A095320-A095316-A095313-A095285-A082646-A080191-A079152-A078668-A077390-A077359-A073350-A070159-A069684-A069683-A069682-A069681-A069680-A069679-A069678-A069677-A069676-A069675-A062353-A061022-A058853-A057448-A055398-A052085-A050260-A050246-A049585-A049573-A049569-A049561-A049551-A049549-A038618-A038616-A038614-A030475-A030291-A000040: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) * 2)
A140777: 0 2 6 10 18 22 30 34 42 54 58 70 78 82 90 102
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 2)
A020581: 2 5 7 11 13 17
A045344: 2 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
(compr(\x.(2 - (loop(\(x,i).(x * 2),x,2) mod (x + 2))),x) + 2)
A111774: 6 9 10 12 14 15 18 20 21 22 24 25 26 27 28 30
(loop(\(x,i).(i * x),x,(x + 1)) mod (((x + 2) * x) + 2))
A177353: 1 2 6 7 16 17 40 20 30 72 108 45 20 188 206 115
(compr(\x.(x - (loop(\(x,i).(x * 2),x,x) mod (x + 2))),x) + 2)
A144147: 2 3 5 6 7 10 11 13 14 17 19 22 23 26 29 30
(if x <= 0 then 1 else ((((x div (2 + 1)) * (x - 2)) + x) * 2))
A222011: 1 2 4 8
A052184: 1 2 4 8 12 16 28
(loop(\(x,i).(((x + 1) * 2) + 1),x,((x - 2) * x)) * 2)
A036800: 0 2 18 90 346 1146 3450 9722 26106 67578 169978 417786 1007610 2392058 5603322 12976122
(loop(\(x,i).(((x mod 2) + x) * (i + 1)),(x * 2),x) * 2)
A006548: 0 24 480 40320 2903040 479001600 74724249600 20922789888000 5690998849536000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903
(((0 - 2) - 1) mod loop(\(x,i).((i mod 2) + (x * 2)),x,2))
A054111: 1 2 7 18 39 82 167 338 679 1362 2727 5458 10919 21842 43687 87378
loop(\(x,i).((((x + 1) mod (2 + 1)) + x) + (x * 2)),x,2)
A037512: 2 6 19 59 177 532 1598 4794 14383 43151 129453 388360 1165082 3495246 10485739 31457219
((x - (if (x mod (2 + 1)) <= 0 then 1 else ((x div 2) * x))) mod 2)
A218380: 1 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0
loop(\(x,i).(x * 2),(x div (2 + 2)),(((x div 2) * x) mod 2))
A236799: 0 0 0 1 0 0 0 2 0 0 0 4 0 0 0 8
(loop(\(x,i).((((i + 1) * i) div 2) + x),(x div 2),x) + 2)
A053436: 2 3 5 6 10 11 18 19 30 31 47 48 70 71 100 101
(((if ((x div 2) - 2) <= 0 then 1 else ((x * x) * 2)) + x) + 2)
A154660: 3 4 5 6 7 8
A144046: 3 4 5 6 7 8 80
(loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) div (x + 2))
A180102: 100 66 50 40 33 28 25 22 20 18 16 15 14 13 12 11
(loop(\(x,i).((i * i) + x),((x + 1) div 2),1) div (x + 2))
A026927: 0 0 0 1 1 2 1 3 3 5 4 7 6 9 8 12
(((if (2 - x) <= 0 then (x * 2) else 1) * (2 + 1)) div (x + 2))
A163400: 1 1 3 3 4 4 4 4 4 4 5 5 5 5 5 5
loop(\(x,i).((x * x) - 1),((x + 1) * (2 + 1)),(x + 2))
A116232: 63 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).i,(x div (2 + 2)),2) + (2 + 1)) mod (x + 2))
A109167: 1 2 1 0 4 4 4 4 5 5 5 5 6 6 6 6
((x * x) - (loop(\(x,i).(i * x),(x - 2),1) div (x + 2)))
A010409: 0 1 4 9 16 25 33 36
((((((if x <= 0 then 1 else x) mod 2) * 2) + x) + 1) * (x + 2))
A063722: 6 12 12 30 30
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 1 else 2) * (x + 2))
A250039-A248502: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 32 34
(if x <= 0 then 1 else ((((x div 2) - (x mod 2)) + 2) * (x + 2)))
A182455: 1 3 12 10 24 21 40 36 60 55 84 78 112 105 144 136
loop(\(x,i).(x * x),1,((x div ((x mod 2) - 2)) * (x + 2)))
A171522: 0 9 16 225 144 1225 576 3969 1600 9801 3600 20449 7056 38025 12544 65025
(((if (x mod (2 + 2)) <= 0 then 0 else x) + (x * 2)) div (x + 2))
A276337-A160385: 0 1 1 1 1 2 2 2 1 2 2 2 1 2 2 2
((loop(\(x,i).((i * x) + 2),x,2) + (x div 2)) div (x + 2))
A185349: 1 1 2 6 22 93
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),2,(x + 2))
A139572: 68719476736 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)) + (x + 2))
A331400-A317622: 2 3 4 5 6 7 8 9 10 12 14 16 18 20 22 24
(if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A325402: 0 1 2 3 4 5 6 7 8 9 10 13 12 13 14 15
loop(\(x,i).(i * x),x,((((x + 2) * 2) + x) * (x + 2)))
A225658: 8 21 80 390 2304 15960 126720 1134000 11289600 123742080 1480550400 19199980800 268240896000 4016428416000 64163222323200 1089292748544000
loop(\(x,i).(x - (x div ((2 + 2) * 2))),(2 + 1),(x - 2))
A102672: 0 0 0 1 2 3 4 5 6 7 7 7 7 8 9 10
((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 0) + (x * 2))
A064679: 1 3 5 7 9 11 13 15 17 19 21 23 25 26 28 30
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 0) + (x * 2))
A137803-A064719-A059547-A059533: 1 3 5 7 9 11 13 15 17 19 21 22 24 26 28 30
(((x div 2) - (if (x mod (2 + 2)) <= 0 then 0 else 1)) + (x * 2))
A187331: 0 1 4 6 10 11 14 16 20 21 24 26 30 31 34 36
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + (x * 2))
A246410: 2 4 6 8 10 12 14 16 18 20 22 23 25 27 29 31
((if x <= 0 then 1 else (((x mod 2) - x) div (2 + 1))) + (x * 2))
A025055: 1 2 3 5 6 8 10 12 13 15 16 18 20 22 23 25
(if x <= 0 then 1 else (((x * 2) * 2) - (2 mod (1 - (x * 2)))))
A270545: 1 4 9 15 21 27 33 39 45 51 57 63 69 75 81 87
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + (x * 2))
A173835: 1 12 104 1006 10008 100010 1000012 10000014 100000016 1000000018 10000000020 100000000022 1000000000024 10000000000026 100000000000028 1000000000000030
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (x * 2))
A173834: 1 8 96 994 9992 99990 999988 9999986 99999984 999999982 9999999980 99999999978 999999999976 9999999999974 99999999999972 999999999999970
((((x div 2) - 1) * (x div 2)) + (if x <= 0 then 1 else (x * 2)))
A152919: 1 2 4 6 10 12 18 20 28 30 40 42 54 56 70 72
((if ((x div 2) mod 2) <= 0 then 1 else (x mod (0 - 2))) + (x * 2))
A095028: 1 3 4 5 9
A047600: 1 3 4 5 9 11 12 13 17 19 20 21 25 27 28 29
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + (x * 2))
A293167-A246413-A246411-A158333: 1 3 5 7 9 11 13 15 17 19 21 24 26 28 30 32
((if ((x div 2) mod 2) <= 0 then 2 else ((x + 1) mod 2)) + (x * 2))
A047433: 2 4 5 6 10 12 13 14 18 20 21 22 26 28 29 30
((if (x - (2 + 2)) <= 0 then 1 else (x - (2 + 2))) + (x * 2))
A318919: 1 3 5 7 9 11 14 17 20 23 26 29 32 35 38 41
loop(\(x,i).((x div ((2 + 2) + 1)) + (x mod 2)),2,(x * 2))
A000999: 0 0 0 1 1 0 0 0 1 1 0 0 0 2 2 1
((if ((x div (0 - 2)) mod 2) <= 0 then (x mod 2) else 2) + (x * 2))
A047507: 0 4 6 7 8 12 14 15 16 20 22 23 24 28 30 31
((((if ((x div 2) - 2) <= 0 then 2 else 0) + x) div 2) + (x * 2))
A284534: 1 3 6 8 11 13 15 17 20 22 25 27 30 32 35 37
(((loop(\(x,i).(i * x),x,2) - x) div (x + 2)) + (x * 2))
A280031: 1 2 4 7 15 43
loop(\(x,i).((((i + 1) * i) div 2) + x),(x + 2),(x * 2))
A010897: 4 12 24 41 64 94
(((if (((x div 2) - 2) - 2) <= 0 then 1 else 0) + x) + (x * 2))
A190084: 1 4 7 10 13 16 19 22 25 28 30 33 36 39 42 45
(((x div ((if (x - 2) <= 0 then 1 else 2) + 1)) + x) + (x * 2))
A081842: 0 3 7 10 13 16 20 23 26 30 33 36 40 43 46 50
(((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) + (x * 2))
A189934: 2 5 8 11 14 17 20 23 26 28 31 34 37 40 43 46
(((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + x) + (x * 2))
A166521: 1 11 7 17 13 23 19 29 25 35 31 41 37 47 43 53
((loop(\(x,i).((x * x) * (i + 2)),2,x) * x) * (x * 2))
A286930: 0 72 4608 52488 294912 1125000 3359232 8470728 18874368 38263752 72000000 127552392 214990848 347530248 542126592 820125000
(loop(\(x,i).(((x div (i + 1)) + x) + 2),x,0) - (x div 2))
A097383: 0 2 3 6 8 11 13 17 20 24 27 31 34 38 41 46
(loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) + (x div 2))
A029031: 1 1 2 2 3 3 4 4 5 5 6 7 9 10 12 13
((((x * x) - (if x <= 0 then 0 else 1)) div (2 + 1)) - (x div 2))
A337484: 0 0 0 1 3 6 8 13 17 22 28 35 41 50 58 67
((if (x mod 2) <= 0 then 1 else (((2 + 2) + 1) * 2)) + (x div 2))
A318486-A303850-A303848: 1 10 2 11 3 12 4 13 5 14 6 15 7 16 8 17
((if (x mod 2) <= 0 then (x div 2) else ((x - 1) * 2)) * (x div 2))
A174595: 0 0 1 4 4 16 9 36 16 64 25 100 36 144 49 196
((if (x mod 2) <= 0 then (x + 1) else ((2 + 2) * 2)) - (x div 2))
A317386: 1 8 2 7 3 6 4 5 5 4 6 3 7 2 8 1
loop(\(x,i).((2 - x) div 2),((x + 1) mod (2 + 2)),(x div 2))
A066746: 1 0 0 1 0 1 0 3 ~1 1 0
((((if ((x div 2) - 2) <= 0 then 2 else x) div 2) mod 2) + (x div 2))
A306921: 1 1 2 2 3 3 4 4 4 4 6 6 6 6 8 8
(loop(\(x,i).(((i + 2) * i) + (x + 2)),x,2) - (x div 2))
A208995: 2 7 16 33 58 95 144 209 290 391 512 657 826 1023 1248 1505
((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else x) - (x div 2))
A059857: 12 1 11 2 10 3 9 4 8 5 7 6 6 7 5 8
((((if (2 - x) <= 0 then (2 + 2) else 1) * 2) + x) + (x div 2))
A189818: 2 3 11 12 14 15 17 18 20 21 23 24 26 27 29 30
(((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) + x) + (x div 2))
A107432: 1 1 4 4 7 8 10 11 13
(loop(\(x,i).((((i mod 2) + x) * i) + x),x,0) - (x mod 2))
A133798: 0 0 3 14 75 454 3185 25486 229383 2293838 25232229 302786758 3936227867 55107190150 826607852265 13225725636254
((if ((x mod ((2 + 2) * 2)) - 2) <= 0 then 0 else 1) + (x mod 2))
A143668: 0 1 0 2 1 2 1 2 0 1 0 2 1 2 1 2
(loop(\(x,i).(((2 + 1) * x) + 1),(x - 1),1) + (x mod 2))
A152011: 1 2 4 14 40 122 364 1094 3280 9842 29524 88574 265720 797162 2391484 7174454
((if (((x div 2) + 2) mod (2 + 2)) <= 0 then 2 else 1) * (x mod 2))
A292252: 0 1 0 1 0 2 0 1 0 1 0 1 0 2 0 1
((if (2 - x) <= 0 then (((x mod 2) * x) * 2) else 1) + (x mod 2))
A266220: 1 2 0 7 0 11 0 15 0 19 0 23 0 27 0 31
(loop(\(x,i).((2 + 2) * (x + 1)),(x div 2),1) + (x mod 2))
A221049: 1 2 8 9 36 37 148 149 596 597 2388 2389 9556 9557 38228 38229
loop(\(x,i).(((x + 1) * i) + x),((x div 2) + 1),(x mod 2))
A030494: 1 3 5 11 23 47 119 239 719 1439 5039 10079 40319 80639 362879 725759
(loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1) + (x mod 2))
A102239: 1 7 31 157 781 3907 19531 97657 488281 2441407 12207031 61035157 305175781 1525878907 7629394531 38146972657
(loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,1) - (x mod 2))
A081340: 1 2 13 62 313 1562 7813 39062 195313 976562 4882813 24414062 122070313 610351562 3051757813 15258789062
loop(\(x,i).((((i mod 2) + x) * 2) - 1),(x - 1),(x mod 2))
A084183: 0 1 1 5 3 21 11 85 43 341 171 1365 683 5461 2731 21845
(1 - loop(\(x,i).((x - (i mod 2)) * 2),(x - 1),(x mod 2)))
A092808: 1 0 3 1 11 5 43 21 171 85 683 341 2731 1365 10923 5461
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) - (x mod 2))
A025827: 1 0 1 0 1 0 1 0 1 0 1 1 2 1 2 1
(loop(\(x,i).(((x * 2) - 1) * 2),(x + 1),2) - (x mod 2))
A088556: 6 21 86 341 1366 5461 21846 87381 349526 1398101 5592406 22369621 89478486 357913941 1431655766 5726623061
(((loop(\(x,i).(x * 2),x,2) mod (x + 1)) + 2) * (x mod 2))
A158327: 0 2 0 2 0 6 0 2 0 6 0 6 0 6 0 2
((if (x mod (2 + 1)) <= 0 then ((x + 1) mod 2) else 2) - (x mod 2))
A131017: 1 1 2 ~1 2 1 1 1 2 ~1 2 1 1 1 2 ~1
((if (x mod (2 + 2)) <= 0 then 1 else ((2 + 2) * 2)) + (x mod 2))
A269222: 1 9 8 9 1 9 8 9 1 9 8 9 1 9 8 9
loop(\(x,i).((x div 2) * x),x,(((2 + 2) * 2) - (x mod 2)))
A019281: 8 21 512
(((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) * (2 - (x mod 2)))
A089128: 6 1 2 3 2 1 6 1 2 3 2 1 6 1 2 3
(loop(\(x,i).((i + x) * x),(x div 2),2) div (2 - (x mod 2)))
A171708: 1 2 3 6 24
A160683: 1 2 3 6 24 48
(((if (2 - x) <= 0 then 2 else 1) + ((x * x) * 2)) + (x mod 2))
A049486: 1 4 10 21 34 53 74 101 130 165 202 245 290 341 394 453
((x mod 2) - loop(\(x,i).((x - (i mod 2)) * 2),x,(x mod 2)))
A270797: 0 1 4 3 20 11 84 43 340 171 1364 683 5460 2731 21844 10923
((loop(\(x,i).(i * x),x,2) + ((x + 2) * x)) + (x mod 2))
A057582: 2 6 12 28 72
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + x),x,2)
A199021: 2 27 302 3327 36602 402627 4428902 48717927 535897202 5894869227 64843561502 713279176527 7846070941802 86306780359827 949374583958102 10443120423539127
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),x,2)
A199019: 2 32 362 3992 43922 483152 5314682 58461512 643076642 7073843072 77812273802 855935011832 9415285130162 103568136431792 1139249500749722 12531744508246952
((((loop(\(x,i).((x * x) * x),2,x) + 1) * x) * x) div 2)
A168153: 0 1 1026 88578 2097160 24414075 181398546 988663396 4294967328 15690529845 50000000050 142655835366 371504185416 896080197103 2024782584930 4324877929800
loop(\(x,i).((((x + 2) * (2 + 1)) div (i + 1)) + x),x,2)
A166830: 2 8 18 33 54 82 118 163 218 284 362 453 558 678 814 967
((loop(\(x,i).(((x * 2) * (2 + 1)) - 1),2,x) + x) * 2)
A277986: ~14 60 134 208 282 356 430 504 578 652 726 800 874 948 1022 1096
loop(\(x,i).((x div (((i - 1) mod (2 + 2)) + 2)) + x),x,2)
A133463: 2 3 4 5 6 9 12 15 18 27 36 45 54 81 108 135
((((2 + 2) * (x + 1)) - 1) div (if (2 - x) <= 0 then x else 2))
A329509: 1 3 5 5 4 4 4 4 4 4 4 4 4 4 4 4
(((if ((x div 2) - 2) <= 0 then 1 else ((x div 2) * x)) + x) mod 2)
A154388: 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0
((loop(\(x,i).((((i + x) - 1) * x) * x),2,x) * x) div 2)
A168660: 0 1 576 30618 532480 4921875 30373056 141649396 537919488 1745783685 5005000000 12978455886 30976598016 68960620183 144680034240 288410625000
loop(\(x,i).((((x * x) * x) * (x + 1)) - 1),(x * x),2)
A228241: 2 23 4611686018427387903
loop(\(x,i).(((x * x) * (x * x)) + (2 + 1)),(x * x),2)
A301637: 2 19 4611686018427387903
((0 - x) mod ((loop(\(x,i).(x * 2),x,1) - (x * x)) - 2))
A052516: 0 0 0 0 0 0 20 70 182 420 912 1914 3938 8008 16172 32526
((loop(\(x,i).(2 - ((x * x) * x)),2,2) * (x * x)) div 2)
A174339: 0 109 436 981 1744 2725 3924 5341 6976 8829 10900 13189 15696 18421 21364 24525
(loop(\(x,i).((((i + 2) * x) - 2) * x),2,(x * x)) div 2)
A151750: 0 1 3160
(((loop(\(x,i).((x * x) * x),2,x) + x) * (x * x)) div 2)
A168189: 0 1 1028 88587 2097184 24414125 181398636 988663543 4294967552 15690530169 50000000500 142655835971 371504186208 896080198117 2024782586204 4324877931375
(((loop(\(x,i).(x * x),2,(x * x)) + x) * (x * x)) div 2)
A168188: 0 1 516 29538 524320 4882875 30233196 141237796 536871168 1743392565 5000000500 12968712966 30958682976 68929247023 144627328860 288325197000
((loop(\(x,i).(x * x),2,((x * x) * x)) + (x * x)) div 2)
A168176: 0 1 2050 265725 8388616 122070325 1088391186 6920643625 34359738400 141214768281 500000000050 1569214188421 4458050224200 11649042561325 28346956187746 64873168945425
(loop(\(x,i).((x - (x div ((x mod 2) + 1))) + x),x,x) div 2)
A085062: 0 1 1 4 2 4 3 13 4 7 5 13 6 10 7 40
((loop(\(x,i).(((i + x) - 1) * x),2,(x * x)) * x) div 2)
A168372: 0 1 272 9963 131584 978125 5042736 20185207 67125248 193739769 500050000 1179054371 2580014592 5302435333 10330792304 19222059375
(loop(\(x,i).(((x * x) + 1) * x),1,((x * x) * x)) div 2)
A168187: 0 1 260 9855 131104 976625 5038956 20176975 67109120 193710609 500000500 1178974511 2579891040 5302250785 10330524764 19221681375
(loop(\(x,i).(((i + x) - 1) * x),2,((x * x) * x)) div 2)
A071235: 0 1 2080 266085 8390656 122078125 1088414496 6920702425 34359869440 141215033961 500000500000 1569215074141 4458051717120 11649044974645 28346959952416 64873174640625
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else x)
A102392: 0 1 2 0 4 0 0 7 8 0 0 11 0 13 14 0
((if ((x div 2) mod 2) <= 0 then (((x mod 2) * 2) + 1) else 0) + x)
A284307: 1 4 2 3 5 8 6 7 9 12 10 11 13 16 14 15
((if (x mod 2) <= 0 then (((x * 2) * 2) * (2 + 1)) else 0) + x)
A317326: 0 1 26 3 52 5 78 7 104 9 130 11 156 13 182 15
((if (x mod 2) <= 0 then (((x div 2) + x) * (2 + 1)) else 0) + x)
A317311: 0 1 11 3 22 5 33 7 44 9 55 11 66 13 77 15
(((((2 + 2) + 1) * x) * (if (x mod 2) <= 0 then 2 else 0)) + x)
A317322: 0 1 22 3 44 5 66 7 88 9 110 11 132 13 154 15
(loop(\(x,i).(i - ((i + 1) mod (x + 1))),(x - 2),0) + x)
A233524: 0 1 2 4 5 8
A004761: 0 1 2 4 5 8 9 10 11 16 17 18 19 20 21 22
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0) * x)
A053422: 0 1 22 333 4444 55555 666666 7777777 88888888 999999999 11111111110 122222222221 1333333333332 14444444444443 155555555555554 1666666666666665
(loop(\(x,i).((((x div (2 + 1)) + 2) * x) + 1),x,0) + x)
A214853: 0 2 5 13 55
(loop(\(x,i).((((x + 1) div 2) * (i + x)) + 1),x,0) - x)
A322399: 0 0 2 12 149
(loop(\(x,i).((i * x) + 1),(x - ((2 + 2) + 1)),1) + x)
A019532: 1 2 3 4 5 6 8 12 24
((0 - 2) mod (loop(\(x,i).i,(x - ((2 + 2) + 1)),1) + x))
A092755: 0 0 1 2 3 4 5 7 9 11 13 15 17 19 21 23
(loop(\(x,i).((x div 2) + 2),(((x div 2) - 2) - 1),1) + x)
A039218: 1 2 3 4 5 6 7 8 10 11 13 14 15 16 17 18
(if x <= 0 then 1 else (((((2 + 1) * 2) * (2 + 1)) + 1) * x))
A048844: 1 19 38 57 76 95 114 133 152 171 190 209 228 247 266 285
(if x <= 0 then 1 else (((((2 + 2) * 2) * (2 + 1)) - 1) * x))
A048845: 1 23 46 69 92 115 138 161 184 207 230 253 276 299 322 345
loop(\(x,i).(i + x),(x - (((2 + 2) * (2 + 1)) - 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A332166: 0 1 2 3 4 5 6 7 8 9 10 11 13 16 20 25
(loop(\(x,i).(i * 2),(x - ((2 + 2) * (2 + 1))),1) + x)
A246092: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 18 21
(((((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) - 1) * x)
A110665: 0 1 0 ~3 ~4 0 6 7 0 ~9 ~10 0 12 13 0 ~15
(loop(\(x,i).(((x + 1) * i) div (2 + 1)),(x - 1),1) + x)
A118987: 1 2 2 3 5 7 11 19
(loop(\(x,i).((((i div 2) + x) - 1) * 2),(x - 1),1) + x)
A023105: 1 2 2 3 4 7 12 23 44 87 172 343 684 1367 2732 5463
(((1 - x) mod loop(\(x,i).((x * 2) * 2),(x - 1),1)) + x)
A092679: 0 1 5 17
A046231: 0 1 5 17 65 257 1025 4097 16385 65537 262145 1048577 4194305 16777217 67108865 268435457
(loop(\(x,i).(((x div 2) + x) * (i * 2)),(x - 1),1) * x)
A052700: 0 1 4 36 432 6480 116640 2449440 58786560 1587237120 47617113600 1571364748800 56569130956800 2206196107315200 92660236507238400 4169710642825728000
(loop(\(x,i).((x - (x div (0 - 2))) * x),(x - 1),1) * x)
A327335: 0 1 4 18 216
(loop(\(x,i).(i * x),(((x div (2 + 1)) + 1) div 2),1) + x)
A178160: 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 21
((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 1) + x)
A323785: 1 2 3 4 5 6 7 9 9 10 11 12 13 14 15 16
(1 div (if ((x div (((x mod 2) - 2) - 1)) mod 2) <= 0 then 1 else x))
A077605-A070936: 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1
loop(\(x,i).((x * x) * x),1,((((2 + 1) * 2) + 1) * x))
A016983: 0 343 2744 9261 21952 42875 74088 117649 175616 250047 343000 456533 592704 753571 941192 1157625
loop(\(x,i).((x * x) * x),2,((((2 + 1) * 2) + 1) * x))
A016989: 0 40353607 20661046784 794280046581 10578455953408 78815638671875 406671383849472 1628413597910449 5416169448144896 15633814156853823 40353607000000000 95151694449171437 208215748530929664
((if ((x div (2 + 1)) - (x mod (2 + 1))) <= 0 then 2 else 1) + x)
A193768: 2 3 4 4 6 7 7 8 10 10 11 12 13 14 15 16
((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1) * x)
A109046: 0 5 10 15 20 5 30 35 40 45 10 55 60 65 70 15
((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + x)
A033862: 1 2 3 4 5 6 7 8 9 11 11 12 13 14 15 16
((loop(\(x,i).(((x * x) + (2 + 2)) * 2),2,2) + 1) * x)
A004948-A004928: 0 521 1042 1563 2084 2605 3126 3647 4168 4689 5210 5731 6252 6773 7294 7815
(1 div (if (x mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 1 else x))
A253903: 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0
((loop(\(x,i).((x * x) - (x div 2)),(2 + 2),2) + 1) * x)
A004952-A004932: 0 3571 7142 10713 14284 17855 21426 24997 28568 32139 35710 39281 42852 46423 49994 53565
(loop(\(x,i).((x div 2) + 2),(x - ((2 + 2) * 2)),1) + x)
A039219-A038365: 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18
(loop(\(x,i).((2 + 1) * i),(x - ((2 + 2) * 2)),1) + x)
A079238-A079042: 1 2 3 4 5 6 7 8 9 12 16 20 24 28 32 36
loop(\(x,i).(i + x),(((x - ((x div 2) mod 2)) div 2) - 1),x)
A028722: 0 1 2 3 5 6 7 10 14
(loop(\(x,i).((x - i) * 2),(x - 1),((2 + 2) + 1)) - x)
A270841: 5 4 6 9 14 23 40 73 138 267 524 1037 2062 4111 8208 16401
((if (x - 2) <= 0 then 1 else ((x + 2) div ((2 + 2) + 1))) + x)
A257500-A210940-A121208: 1 2 3 4 5 6 7 8 10 11 12 13 14 16 17 18
(x - loop(\(x,i).((x * x) div (x + 2)),((2 + 2) + 1),x))
A103303: 0 1 2 3 4 5 6 7 8 9
A137180: 0 1 2 3 4 5 6 7 8 9 9 10 10 10 10 10
(if (x mod 2) <= 0 then (((x div 2) + x) * ((2 + 2) + 1)) else x)
A317315: 0 1 15 3 30 5 45 7 60 9 75 11 90 13 105 15
(if x <= 0 then 1 else (((((x * x) * (x + 2)) * 2) + 1) * x))
A274822: 1 7 66
((if (x - (2 + 2)) <= 0 then x else (((x - 2) * 2) - 1)) + x)
A130174: 0 2 4 6 8 10 13 16 19 22 25 28 31 34 37 40
(1 div (if ((x mod (2 + 1)) - ((x div 2) mod 2)) <= 0 then 1 else x))
A275661: 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1
((if ((x div 2) mod 2) <= 0 then 2 else (((x mod 2) * 2) - 1)) + x)
A298364: 2 3 1 4 6 7 5 8 10 11 9 12 14 15 13 16
((loop(\(x,i).(((x + 2) * i) - 1),x,0) div (2 + 1)) + x)
A088110: 0 1 3 9
A180632: 0 1 3 9 33 153
((loop(\(x,i).i,(x - ((2 + 2) * 2)),1) * (2 + 1)) + x)
A154660: 3 4 5 6 7 8
A321153: 3 4 5 6 7 8 9 10 11 12 16 20 24
loop(\(x,i).(x * x),1,((((x * 2) + 1) * (2 + 1)) + x))
A017018: 9 100 289 576 961 1444 2025 2704 3481 4356 5329 6400 7569 8836 10201 11664
loop(\(x,i).(x * x),2,((((x * 2) + 1) * (2 + 1)) + x))
A017020: 81 10000 83521 331776 923521 2085136 4100625 7311616 12117361 18974736 28398241 40960000 57289761 78074896 104060401 136048896
loop(\(x,i).((i * 2) + x),(((x div 2) - 1) div (2 + 1)),x)
A084690: 0 1 2 3 4 5 6 7 10
A329298: 0 1 2 3 4 5 6 7 10 11 12 13 14 15 20 21
((loop(\(x,i).((x * x) + 1),2,(x + 1)) div (2 + 1)) * x)
A121782: 0 8 66 288 900 2280 4998 9856 17928 30600 49610 77088 115596 168168 238350 330240
loop(\(x,i).(x * x),1,((((x + 1) * 2) * (2 + 1)) + x))
A017054: 36 169 400 729 1156 1681 2304 3025 3844 4761 5776 6889 8100 9409 10816 12321
loop(\(x,i).(x * x),2,((((x + 1) * 2) * (2 + 1)) + x))
A017056: 1296 28561 160000 531441 1336336 2825761 5308416 9150625 14776336 22667121 33362176 47458321 65610000 88529281 116985856 151807041
(((((x * x) + 2) + (if x <= 0 then 1 else 2)) * (2 + 1)) + x)
A257496: 9 16 26 42
(loop(\(x,i).((((x * x) * 2) + 1) * 2),2,(2 + 1)) * x)
A004973-A004953: 0 5778 11556 17334 23112 28890 34668 40446 46224 52002 57780 63558 69336 75114 80892 86670
(loop(\(x,i).(((x + 2) * (x + 2)) + 2),2,(2 + 1)) * x)
A004969-A004949: 0 843 1686 2529 3372 4215 5058 5901 6744 7587 8430 9273 10116 10959 11802 12645
compr(\x.(1 - (loop(\(x,i).((x div 2) + x),x,2) mod (2 + 1))),x)
A087791: 0 2 5 6 7 10 12 13 16 18 20 21 24 26 27 29
compr(\x.(((x * x) + 2) mod loop(\(x,i).(x * x),2,(2 + 1))),x)
A156797: 22 59 103 140 184 221 265 302 346 383 427 464 508 545 589 626
(if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else ((2 + 1) * x))
A130724: 0 3 6 1 12 15 2 21 24 3 30 33 4 39 42 5
loop(\(x,i).(((x * x) * x) * (x * x)),1,((2 + 1) * x))
A016769: 0 243 7776 59049 248832 759375 1889568 4084101 7962624 14348907 24300000 39135393 60466176 90224199 130691232 184528125
(if (x mod 2) <= 0 then ((1 - x) - (x * 2)) else ((2 + 1) * x))
A084060: 1 3 ~5 9 ~11 15 ~17 21 ~23 27 ~29 33 ~35 39 ~41 45
loop(\(x,i).((((i * 2) * (2 + 1)) + 1) * x),(2 + 1),x)
A138129: 0 1729 3458 5187 6916 8645 10374 12103 13832 15561 17290 19019 20748 22477 24206 25935
(x - loop(\(x,i).(((x div (2 + 1)) mod 2) - x),(2 + 1),x))
A154571: 0 3 4 5 7 8 12 15 16 17 19 20 24 27 28 29
((loop(\(x,i).(((x * x) * 2) - 1),2,x) div (2 + 1)) + x)
A058581: 0 1 34 195 644 1605 3366 6279 10760 17289 26410 38731 54924 75725 101934 134415
((loop(\(x,i).((x div 2) + i),(2 + 2),x) * (2 + 1)) + x)
A297290-A296760: 18 19 20 21 22 23 24 25 26 27 28 29 30 31 35 36
(((x - 1) * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x))
A083920: 0 0 1 1 2 3 3 4 5 6 6 7 8 9 10 10
((if (2 - x) <= 0 then (((x div (2 + 1)) * x) mod 2) else 1) + x)
A004079: 1 2 2 4 4 6 6 7 8 10 10 12
(loop(\(x,i).(x * x),1,((((x + 1) * x) div 2) + 1)) - x)
A123350: 1 3 14 46 117 251 478 834 1361 2107 3126 4478 6229 8451 11222 14626
(loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 1)) * x)
A151974: 0 15 90 315 840 1890 3780 6930 11880 19305 30030 45045 65520 92820 128520 174420
compr(\x.(loop(\(x,i).((x * 2) - 1),x,x) mod ((x + 2) + 1)),x)
A154115: 0 2 4 8 10 14 16 20 26 28 34 38 40 44 50 56
(loop(\(x,i).(((i + x) div 2) * (i + 2)),(x - 2),1) + x)
A337638: 1 2 3 6 12 30 90
(loop(\(x,i).((((x * x) * x) + 2) * x),(x - 2),1) + x)
A180445: 1 2 3 6 91
loop(\(x,i).((((i * i) * 2) + x) - 1),((x * 2) + 1),x)
A024381: 1 26 107 276 565 1006 1631 2472 3561 4930 6611 8636 11037 13846 17095 20816
loop(\(x,i).((x * x) * x),1,((x mod ((x div 2) + 1)) + x))
A118719: 0 1 8 64 125 343 512 1000 1331 2197 2744 4096 4913 6859 8000 10648
(((((x * 2) - 1) * x) + 1) * (if (x mod 2) <= 0 then 1 else x))
A106159: 1 2 7 48
(loop(\(x,i).(((i * x) + 1) * x),((2 + 1) * x),1) - x)
A114484: 1 309 4611686018427387903
(loop(\(x,i).((((x div (2 + 2)) + 2) * x) + 1),x,1) - x)
A039719: 1 2 5 19 151
(loop(\(x,i).((((i * x) div 2) + 1) * (x + 1)),x,1) - x)
A058881: 1 1 7 137
(loop(\(x,i).((x - ((x div (0 - 2)) - 2)) * 2),x,1) - x)
A027138: 1 7 26 85 264 803 2422 7281 21860 65599 196818 590477 1771456 5314395 15943214 47829673
(loop(\(x,i).((((x * 2) * 2) - (x div 2)) * 2),x,1) * x)
A270111: 0 8 112 1176 10976 96040 806736 6588344 52706752 415065672 3228288560 24857821912 189823367328 1439493868904 10851569165584 81386768741880
(loop(\(x,i).((((i * i) div (x + 1)) + x) + 2),x,1) - x)
A096182: 1 2 4 6 8 10 13 16 19 22 26 30 34 38 42 46
(loop(\(x,i).(((i mod 2) + x) * x),((x - 2) * x),1) + x)
A115031: 1 2 3 23 4611686018427387903
(((((x - 1) div 2) mod 2) + (if (x mod 2) <= 0 then x else 1)) + x)
A109534: 1 2 4 5 9 6 12 9 17 10 20 13 25 14 28 17
((if ((2 - x) + 2) <= 0 then (((x * x) + 2) * x) else 1) + x)
A142959: 1 2 3 4 76
(loop(\(x,i).((2 + 1) * x),((2 + 2) + 1),(x + 1)) - x)
A157958: 243 485 727 969 1211 1453 1695 1937 2179 2421 2663 2905 3147 3389 3631 3873
(((loop(\(x,i).(x * 2),(x - 2),2) - 1) div (x + 1)) + x)
A291298: 1 1 2 3 5 7 10 14 22
loop(\(x,i).((((x * x) * x) + 1) * (x + 1)),(x + 1),x)
A274307: 1 325 4611686018427387903
loop(\(x,i).(((((x * x) + 1) * x) * x) + 1),(x + 1),x)
A323060: 1 91 4611686018427387903
compr(\x.(loop(\(x,i).(((i + 1) div 2) * x),x,1) mod (x + 1)),x)
A118742: 0 5 7 8 9 11 13 14 15 17 19 20 21 23 24 25
((loop(\(x,i).((x * x) + 1),(2 + 1),2) * (x + 1)) - x)
A158386: 677 1353 2029 2705 3381 4057 4733 5409 6085 6761 7437 8113 8789 9465 10141 10817
((loop(\(x,i).(((x * x) * x) + 1),2,2) * (x + 1)) - x)
A158397: 730 1459 2188 2917 3646 4375 5104 5833 6562 7291 8020 8749 9478 10207 10936 11665
loop(\(x,i).(x * x),1,((((2 + 2) * 2) * (x + 1)) + x))
A017258: 64 289 676 1225 1936 2809 3844 5041 6400 7921 9604 11449 13456 15625 17956 20449
loop(\(x,i).(x * x),2,((((2 + 2) * 2) * (x + 1)) + x))
A017260: 4096 83521 456976 1500625 3748096 7890481 14776336 25411681 40960000 62742241 92236816 131079601 181063936 244140625 322417936 418161601
((loop(\(x,i).((x * x) + 1),2,(2 + 2)) * (x + 1)) - x)
A158255: 290 579 868 1157 1446 1735 2024 2313 2602 2891 3180 3469 3758 4047 4336 4625
((loop(\(x,i).((i + x) * x),2,(2 + 2)) * (x + 1)) + x)
A158319: 440 881 1322 1763 2204 2645 3086 3527 3968 4409 4850 5291 5732 6173 6614 7055
loop(\(x,i).(x * x),(2 + 1),(((2 + 2) * (x + 1)) + x))
A016904: 65536 43046721 1475789056 16983563041 110075314176 500246412961 1785793904896 5352009260481 14048223625216 33232930569601 72301961339136 146830437604321 281474976710656 513798374428641
loop(\(x,i).((x * x) * x),1,(((2 + 2) * (x + 1)) + x))
A016899: 64 729 2744 6859 13824 24389 39304 59319 85184 117649 157464 205379 262144 328509 405224 493039
loop(\(x,i).((x * x) * x),2,(((2 + 2) * (x + 1)) + x))
A016905: 262144 387420489 20661046784 322687697779 2641807540224 14507145975869 60716992766464 208728361158759 618121839509504 1628413597910449 3904305912313344 8662995818654939 18014398509481984
(loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),(x + 1)) + x)
A158402: 840 1681 2522 3363 4204 5045 5886 6727 7568 8409 9250 10091 10932 11773 12614 13455
(loop(\(x,i).(((x div (2 + 2)) + x) + 2),2,(x + 1)) + x)
A280537: 5 8 10 13 16 18 20
((loop(\(x,i).((x - i) * x),2,(x * 2)) * (x + 1)) + x)
A243131: 0 1 362 3363 15124 47525 120126 262087 514088 930249 1580050 2550251 3946812 5896813 8550374 12082575
loop(\(x,i).(((x * x) * x) * (x * x)),1,((x + 1) * x))
A248720: 0 32 7776 248832 3200000 24300000 130691232 550731776 1934917632 5904900000 16105100000 40074642432 92389579776 199690286432 408410100000 796262400000
loop(\(x,i).(x * 2),(((x - 1) * x) div 2),((x + 1) * x))
A095338: 0 2 12 96 1280 30720 1376256 117440512 19327352832 6184752906240 3870280929771520 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),(x + 1),x)
A064753: 6 97 1028 9603 84034 705893 5764800 46118407 363182462 2824752489 21750594172 166095446411 1259557135290 9495123019885 71213422649144 531726889113615
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else (x - 1)) * x)
A322131: 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 210
(loop(\(x,i).(((x + 1) * x) div 2),2,x) - ((x - 1) * x))
A294259: 0 1 4 15 43 100 201 364 610 963 1450 2101 2949 4030 5383 7050
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x - 1),x)
A081127: 0 1 22 363 5324 73205 966306 12400927 155897368 1929229929 23579476910 285311670611 3423740047332 40799568897373 483317970015034 5696247503748615
(x div ((((x + 2) + 2) * (2 + 1)) div (if x <= 0 then 1 else x)))
A234537: 0 0 0 0 0 1 1 1 2 2 2 2 3 4 4 5
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + x)
A226737: 1 12 123 1334 14645 161056 1771567 19487178 214358889 2357947700 25937424611 285311670622 3138428376733 34522712143944 379749833583255 4177248169415666
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - x)
A024128: 1 10 119 1328 14637 161046 1771555 19487164 214358873 2357947682 25937424591 285311670600 3138428376709 34522712143918 379749833583227 4177248169415636
(loop(\(x,i).((((i mod 2) * i) * (i + 2)) + x),x,1) + x)
A135301: 1 5 6 22 23 59 60 124 125 225 226 370 371 567 568 824
loop(\(x,i).(1 - ((x * x) mod (((2 + 1) * 2) + 1))),2,x)
A234046: 0 1 ~1 0 0 ~1 1 0 1 ~1 0 0 ~1 1 0 1
loop(\(x,i).(((2 + 2) * 2) div (((x + 1) div 2) + 1)),2,x)
A334789-A063511: 1 2 2 4 4 4 4 4 4 4 4 4 4 4 4 8
loop(\(x,i).(1 - (((x * 2) + 1) * ((2 + 2) + 1))),2,x)
A067865: 36 136 236 336 436 536 636 736 836 936 1036 1136 1236 1336 1436 1536
loop(\(x,i).i,(((0 - x) - 1) mod (((2 + 2) + 1) * 2)),x)
A030076: 9 8 7 6 5 4 3 2 1 9 9 8 7 6 5 4
loop(\(x,i).(x - (((1 - x) div ((x div 2) + 2)) - 1)),2,x)
A275844: 2 4 6 7 8 10 11 13 14 15 16 17 18 19 20 21
loop(\(x,i).(((((i + 1) * x) + 2) * 2) * (2 + 1)),2,x)
A154519: 228 444 660 876 1092 1308 1524 1740 1956 2172 2388 2604 2820 3036 3252 3468
((loop(\(x,i).((i + 2) * x),(x - 2),(2 + 1)) div 2) + x)
A151908: 1 2 3 7 22 95
((if ((x div (2 + 2)) - 2) <= 0 then 1 else ((2 + 1) * 2)) + x)
A227508: 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21
((if (((x div 2) - 2) - 2) <= 0 then 1 else ((2 + 1) * 2)) + x)
A032993: 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21
((0 - x) mod loop(\(x,i).((((x + 1) * x) div 2) - 1),2,x))
A337130: 0 0 0 11 40 99 203 370 621 980 1474 2133 2990 4081 5445 7124
loop(\(x,i).((((x + 1) * x) div 2) * ((x * 2) - 1)),2,x)
A329757: 0 1 765 27435 345415 2469420 12352956 48294610 157609530 447989355 1141711615 2663460261 5775482505 11777133550 22789550070 42150245460
loop(\(x,i).((x - (x div (0 - 2))) div ((x mod 2) + 1)),2,x)
A168221: 0 1 2 3 9 6 7 4 18 5 11 12 27 15 16 8
loop(\(x,i).(((((i * 2) * (2 + 1)) + 1) * x) + 1),2,x)
A139614: 14 105 196 287 378 469 560 651 742 833 924 1015 1106 1197 1288 1379
loop(\(x,i).((((((i * 2) * 2) * 2) + 1) * x) + 1),2,x)
A139618: 18 171 324 477 630 783 936 1089 1242 1395 1548 1701 1854 2007 2160 2313
compr(\x.(((x div 2) - (if (x mod (2 + 1)) <= 0 then x else 1)) mod 2),x)
A140794: 0 2 3 7 10 11 12 14
loop(\(x,i).(x * 2),x,((((x + 2) * (x + 1)) div 2) + x))
A100312: 1 8 32 104 304 832 2176 5504 13568 32768 77824 182272 421888 966656 2195456 4947968
loop(\(x,i).(i * x),x,((((x + 2) * (x + 1)) div 2) + x))
A000780: 1 4 16 78 456 3120 24480 216720 2136960 23224320 275788800 3552595200 49337164800 734788454400 11681891020800 197458829568000
((if (x - (2 + 2)) <= 0 then (2 + 1) else ((x + 1) div 2)) + x)
A154660: 3 4 5 6 7 8
A299534-A298111: 3 4 5 6 7 8 9 11 12 14 15 17 18 20 21 23
((if ((x div (2 + 2)) - 1) <= 0 then 1 else ((x - 1) * 2)) + x)
A240963: 1 2 3 4 5 6 7 8 22
loop(\(x,i).((((2 + 2) * 2) * 2) * ((i * x) + 1)),2,x)
A157475: 528 1040 1552 2064 2576 3088 3600 4112 4624 5136 5648 6160 6672 7184 7696 8208
(1 - loop(\(x,i).(1 - (((i + x) * x) div (i + 1))),2,x))
A299120: 1 0 0 5 21 56 120 225 385 616 936 1365 1925 2640 3536 4641
loop(\(x,i).((((x * x) div ((2 + 2) * 2)) + 1) div 2),2,x)
A308952: 0 0 0 0 0 0 0 1 1 2 2 4 5 8 9 12
((x div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2)) + x)
A138083: 0 1 2 4 5 6
A145395: 0 1 2 4 5 6 8 9 10 12 13 14 15 16 17 18
loop(\(x,i).(x - ((x - ((i * x) div (2 + 1))) div 2)),2,x)
A189674: 0 1 1 2 3 3 3 4 4 5 6 6 7 8 8 8
loop(\(x,i).((((((i + x) * 2) + x) * 2) + 1) * 2),2,x)
A187206: 138 282 426 570 714 858 1002 1146 1290 1434 1578 1722 1866 2010 2154 2298
loop(\(x,i).(x * x),1,(((((x * 2) + 1) * 2) * 2) + x))
A017210: 16 169 484 961 1600 2401 3364 4489 5776 7225 8836 10609 12544 14641 16900 19321
loop(\(x,i).(x * x),2,(((((x * 2) + 1) * 2) * 2) + x))
A017212: 256 28561 234256 923521 2560000 5764801 11316496 20151121 33362176 52200625 78074896 112550881 157351936 214358881 285610000 373301041
((((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) * 2) + x)
A175028: 0 3 4 3 6 5 8 7 8 9 12 11 14 13 14 15
((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * 2) + x)
A146029: 0 1 2 3 4 5 6 7 8 17 18
((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) * 2) * 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A273376-A247758-A247757-A247754: 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23
loop(\(x,i).(1 - ((x - ((x mod (2 + 1)) div 2)) div 2)),2,x)
A120502: 1 1 1 1 2 2 2 2 2 3 4 4 4 4 4 4
((((if (x - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) * 2) + x)
A093515: 2 3 4 5 6 7 8 11 12 13 14 17 18 19 20 23
(((((if (x mod 2) <= 0 then (x div 2) else 2) + 2) * 2) * 2) - x)
A134990: 8 15 10 13 12 11 14 9 16 7 18 5 20 3 22 1
((if ((x div (2 + 1)) - 2) <= 0 then 1 else ((2 + 2) * 2)) + x)
A326298: 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23
loop(\(x,i).(1 - ((((x * x) div 2) * (x + 2)) div 2)),2,x)
A224707: 1 1 3 141
loop(\(x,i).(1 - (((i - x) * x) div ((x + 2) + 2))),2,x)
A029074-A008906: 1 1 1 1 2 2 2 3 4 5 5 6 7 8 9 10
(loop(\(x,i).((x * x) * 2),2,(((x * 2) * 2) * 2)) * x)
A017069: 0 32768 1048576 7962624 33554432 102400000 254803968 550731776 1073741824 1934917632 3276800000 5277319168 8153726976 12166529024 17623416832 24883200000
loop(\(x,i).(((2 + 2) * 2) + x),(((x div 2) - 2) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A067043: 0 1 2 3 4 5 6 7 8 9 18 19 28 29 38 39
(loop(\(x,i).(2 - x),(x - 1),(((x div 2) mod 2) + 2)) + x)
A116468: 2 3 1 6 4 7 5 10 8 11 9 14 12 15 13 18
(loop(\(x,i).((((x + 1) * x) + 1) * (i + 2)),2,2) * x)
A303272: 0 1852 3704 5556 7408 9260 11112 12964 14816 16668 18520 20372 22224 24076 25928 27780
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else (2 + 2)) + x)
A098314: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 19
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 1 else (2 + 2)) + x)
A078107: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19
((x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A032519: 0 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18
((if ((x div (2 + 2)) - 1) <= 0 then (x div 2) else (2 + 2)) + x)
A275672: 0 1 3 4 6 7 9
A246443: 0 1 3 4 6 7 9 10 12 13 14 15 16 17 18 19
loop(\(x,i).(((((2 + 2) + 1) * x) + i) * 2),(2 + 2),x)
A102689: 2468 12468 22468 32468 42468 52468 62468 72468 82468 92468 102468 112468 122468 132468 142468 152468
(((if (((x div 2) - 2) - 2) <= 0 then 1 else x) div (2 + 2)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A048097: 0 1 2 3 4 5 6 7 8 9 12 13 15 16 17 18
((if ((x div (2 + 1)) - 2) <= 0 then 1 else (x div (2 + 2))) + x)
A342191-A253784-A253567-A193671-A130073-A081306-A074779-A073491-A048197: 1 2 3 4 5 6 7 8 9 11 12 13 15 16 17 18
loop(\(x,i).(((x * x) - 1) * x),1,(((x + 2) * 2) + x))
A228889: 60 336 990 2184 4080 6840 10626 15600 21924 29760 39270 50616 63960 79464 97290 117600
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then ((x - 2) * 2) else x)
A222260: 0 1 2 3 4 5 6 7 8 14 10 11 12 13 24 15
loop(\(x,i).(((x div ((2 + 2) + 1)) mod 2) + (x * 2)),2,x)
A268620: 0 4 8 13 17 22 26 31 35 39 40 44 48 53 57 62
((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + x)
A219636: 0 1 3 4 5 6 8 9 11 12 13 14 16 17 18 19
((if ((x div (2 + 1)) - 2) <= 0 then 1 else ((x mod 2) * 2)) + x)
A183083: 1 2 3 4 5 6 7 8 9 11 10 13 12 15 14 17
loop(\(x,i).(((((2 + 2) + 1) * x) - (i * i)) * 2),2,x)
A277987: ~28 72 172 272 372 472 572 672 772 872 972 1072 1172 1272 1372 1472
loop(\(x,i).(((i * x) mod (2 + 2)) + 1),(x - 1),(2 - x))
A230850: 2 1 1 1 2 1 2 1 4 1 2 1 4 1 2 1
((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) div 2) + x)
A330116-A320829-A194145-A189784-A072633: 1 2 4 5 7 8 10 11 13 14 15 17 18 20 21 23
((((if (x mod ((x div 2) + 2)) <= 0 then 2 else 1) + x) div 2) + x)
A186513: 1 2 3 5 7 8 9 11 12 14 15 17 18 20 21 23
loop(\(x,i).(((((2 + 2) * 2) * 2) * (x + 1)) + x),2,x)
A158253: 288 577 866 1155 1444 1733 2022 2311 2600 2889 3178 3467 3756 4045 4334 4623
((loop(\(x,i).(x - (i - (x * 2))),(x - 1),x) * 2) - x)
A176177: 0 1 8 41 176 689 2552 9113 31712 108257 364136 1210505 3985808 13020305 42249560 136314617
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else x) div 2) * x)
A103303: 0 1 2 3 4 5 6 7 8 9
A330336: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 105
(loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) + x)
A110369: 2 13 114 1115 11116 111117 1111118 11111119 111111120 1111111121 11111111122 111111111123 1111111111124 11111111111125 111111111111126 1111111111111127
((loop(\(x,i).(x - (x div ((i + 2) + 2))),2,x) * 2) - x)
A165576: 0 1 2 3 4 3 4 3 4 5 4 5 6 7 6 5
((((if ((x div 2) - 2) <= 0 then 1 else (2 + 2)) + x) div 2) + x)
A028966: 0 2 3 5 6 8 11 12 14 15 17 18 20 21 23 24
((if (x - 2) <= 0 then 2 else ((((x div 2) mod 2) + x) div 2)) + x)
A063934: 2 3 4 5 6 7 9 11 12 13 15 17 18 19 21 23
(((loop(\(x,i).((i + 1) * i),(x div 2),2) + x) div 2) + x)
A282737: 1 2 4 5 9 10 15 16 22 23 30 31 39 40 49 50
loop(\(x,i).(((((i + 2) * 2) + 1) * (x div 2)) + x),2,x)
A037042: 0 1 45 55 99
loop(\(x,i).(((x mod ((x div 2) + 1)) div (i + 2)) + x),2,x)
A034047: 0 1 2 3 4 5 6 8 10 11 12 13 14 16 17 19
loop(\(x,i).(((x + 1) * 2) * (2 + 1)),2,((x + 2) * x))
A158479: 42 150 330 582 906 1302 1770 2310 2922 3606 4362 5190 6090 7062 8106 9222
loop(\(x,i).(1 - ((x div 2) div (2 + 1))),2,((x + 2) * x))
A342098-A025770: 1 1 1 2 2 2 3 3 3 4 5 5 6 7 7 8
loop(\(x,i).((x div 2) div ((x mod 2) + 1)),2,((x + 2) * x))
A115880: 0 0 2 0 6 4 12 3 20 12 30 8 42 24 56 15
loop(\(x,i).(((2 + 2) + 1) * (x + 1)),2,((x + 2) * x))
A158445: 30 105 230 405 630 905 1230 1605 2030 2505 3030 3605 4230 4905 5630 6405
loop(\(x,i).(((2 + 2) * 2) * (x + 1)),2,((x + 2) * x))
A158488: 72 264 584 1032 1608 2312 3144 4104 5192 6408 7752 9224 10824 12552 14408 16392
loop(\(x,i).(((i + x) * (2 + 2)) * 2),2,((x + 2) * x))
A157912: 80 272 592 1040 1616 2320 3152 4112 5200 6416 7760 9232 10832 12560 14416 16400
loop(\(x,i).(((i + x) * (i + 2)) + x),2,((x + 2) * x))
A167573: 23 83 183 323 503 723 983 1283 1623 2003 2423 2883 3383 3923 4503 5123
((if (x mod 2) <= 0 then 1 else ((x * x) * 2)) + ((x + 2) * x))
A270454: 1 5 9 33 25 85 49 161 81 261 121 385 169 533 225 705
(loop(\(x,i).((((i * 2) + 1) * x) - 2),x,(x + 2)) + x)
A296366: 2 8 50 442
loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 2),x)
A100071: 0 1 2 6 12 30 60 140 280 630 1260 2772 5544 12012 24024 51480
loop(\(x,i).(((x * x) div 2) * ((x + 1) div 2)),(x - 2),x)
A322142: 0 1 2 8 1024
(((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1) + ((x - 2) * x))
A018251: 1 2 3 6 9 18
(2 - loop(\(x,i).(1 - (((x - 2) * x) * 2)),(x * 2),x))
A100360-A061421: 2 7 71 4611686018427387903
(if (x mod 2) <= 0 then (((x * 2) * (2 + 1)) + (x div 2)) else x)
A317313: 0 1 13 3 26 5 39 7 52 9 65 11 78 13 91 15
loop(\(x,i).((x * x) mod (((2 + 2) + 1) * 2)),(x div 2),x)
A186723: 0 1 4 9 6 5 6 1 6 1 0 1 6 1 6 5
(loop(\(x,i).((((x div 2) + x) div 2) + 1),2,(x div 2)) + x)
A175320: 1 2 3 4 6 7 9 10 12 13 14 15 16 17 19 20
((loop(\(x,i).((i * x) + 1),(2 + 2),2) - (x div 2)) - x)
A096400: 89 88 86 85 83 82 80 79 77 76 74 73 71 70 68 67
(if (x mod 2) <= 0 then ((((x * 2) * 2) * 2) + (x div 2)) else x)
A317317: 0 1 17 3 34 5 51 7 68 9 85 11 102 13 119 15
(loop(\(x,i).((x div 2) + 2),(x div (2 + 2)),(x div 2)) + x)
A232779: 0 1 3 4 7 8 9 10 12 13 14 15 16 17 18 19
loop(\(x,i).((i div (2 + 1)) - (1 - (x div 2))),(x div 2),x)
A321860: 0 1 0 0 ~1 ~1 0 0 0 0 0 0 1 1 1 1
(if (x mod (2 + 2)) <= 0 then (x div (2 + 2)) else ((x mod 2) * x))
A316631: 0 1 0 3 1 5 0 7 2 9 0 11 3 13 0 15
loop(\(x,i).((((x div 2) + x) * x) + 1),((x * x) + 2),x)
A185120: 2 71 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (i * i)),x,1) + (((x * x) + 2) * x))
A139488: 1 3 8 20 43 81 138 218 325 463 636 848 1103 1405 1758 2166
((if ((x - 1) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else x) + x)
A070196: 0 2 4 6 8 10 12 14 16 18 11 22 24 26 28 30
(((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + x)
A303589: 0 2 4 5 7 9 10 12 14 15 17 19 21 22 24 26
((loop(\(x,i).((x * 2) - (i mod 2)),(x - 2),1) + x) * x)
A029929: 0 2 6 12 24 40 72 126 240 468 960 2002 4248 9048 19320 41190
(((if (x - 2) <= 0 then x else (((x + 2) * x) + 1)) * x) * x)
A227875: 0 1 8 144
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) - x)
A162177: 0 0 0 1 2 5 6 9 10 13 18 19 24 27 28 31
(((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A190760-A172432-A164836-A144688-A130514-A130232-A119823-A102685-A098952-A088235-A083292-A067082-A032518: 0 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20
compr(\x.((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A338829-A244890-A236402-A202272-A201982-A107085-A070958-A052018-A032945: 0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x)
A001791: 0 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675
loop(\(x,i).(x - ((x mod ((x div (2 + 1)) + 1)) div 2)),x,x)
A265539: 0 1 2 3 4 5 6 7 7 9 9 9 9 9 9 9
(loop(\(x,i).((((x div 2) * (2 + 1)) div 2) + 1),2,x) + x)
A189633: 1 2 4 5 8 9 10 11 13 14 17 18 20 21 22 23
(loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),2,x) + x)
A032614: 110 211 312 413 514 615 716 817 918 1019 1120 1221 1322 1423 1524 1625
compr(\x.(2 - loop(\(x,i).(x div (((x mod 2) * 2) + 1)),2,x)),x)
A330945: 2 4 6 7 8 10 12 13 14 16 18 19 20 21 22 23
(loop(\(x,i).((((i + 1) * x) - 1) * (2 + 1)),2,x) * x)
A277984: 0 24 156 396 744 1200 1764 2436 3216 4104 5100 6204 7416 8736 10164 11700
(loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + x)
A337718: 0 2 4 6 8 10 12 14 16 18 20 22 23 24 26 28
((loop(\(x,i).(x * x),2,(((x * 2) * 2) * 2)) * x) * x)
A016806: 0 4096 262144 2985984 16777216 64000000 191102976 481890304 1073741824 2176782336 4096000000 7256313856 12230590464 19770609664 30840979456 46656000000
(loop(\(x,i).(x * 2),((((x mod 2) * x) - 2) * 2),x) * x)
A323515: 0 1 4 36 16 1600
(1 div (if (x mod (((2 + 2) + 1) * 2)) <= 0 then (2 - x) else x))
A030215: 0 1 0 0 0 0 0 0 0 0 ~1 0 0 0 0 0
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - x)
A065890: 0 0 1 2 5 6 9 10 13 18 19 24 27 28 31 36
((loop(\(x,i).((x * x) * (2 + 1)),2,(x * 2)) * x) * x)
A228105: 0 432 27648 314928 1769472 6750000 20155392 50824368 113246208 229582512 432000000 765314352 1289945088 2085181488 3252759552 4920750000
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,x)
A024483: 0 2 10 42 168 660 2574 10010 38896 151164 587860 2288132 8914800 34767720 135727830 530365050
(((loop(\(x,i).(i * i),(x - 2),0) * 2) + 1) + (x * x))
A116720: 1 2 5 12 25 44 69 100 137 180 229 284 345 412 485 564
(if (x mod 2) <= 0 then ((((x + 2) * x) div 2) + 1) else (x * x))
A271391: 1 1 5 9 13 25 25 49 41 81 61 121 85 169 113 225
(loop(\(x,i).((i * i) + (x * 2)),(x - 2),1) + (x * x))
A026622: 1 2 5 12 26 54 110 222 446 894 1790 3582 7166 14334 28670 57342
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - (x * x))
A024142: 1 11 140 1719 20720 248807 2985948 35831759 429981632 5159780271 61917364124 743008370567 8916100448112 106993205378903 1283918464548668 15407021574586143
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (x * x))
A024116: 1 9 96 991 9984 99975 999964 9999951 99999936 999999919 9999999900 99999999879 999999999856 9999999999831 99999999999804 999999999999775
loop(\(x,i).(((x * x) * (x * 2)) + 1),(x + 1),(x * x))
A250489: 1 55 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - (x * x))
A024077: 1 6 45 334 2385 16782 117613 823494 5764737 40353526 282475149 1977326622 13841287057 96889010238 678223072653 4747561509718
loop(\(x,i).((((x * 2) * 2) * (x - 1)) + 1),2,(x * x))
A239609: 1 1 9409 332929 3690241 23049601 101626561 354079489 1040514049 2687489281 6272798401 13493377921 27138279169 51591216769 93489789121 162571046401
(loop(\(x,i).((x * x) * 2),2,((2 + 1) * x)) * (x * x))
A185270: 0 648 41472 472392 2654208 10125000 30233088 76236552 169869312 344373768 648000000 1147971528 1934917632 3127772232 4879139328 7381125000
((loop(\(x,i).((x * x) * 2),2,(x * 2)) * x) * (x * x))
A016747: 0 128 16384 279936 2097152 10000000 35831808 105413504 268435456 612220032 1280000000 2494357888 4586471424 8031810176 13492928512 21870000000
(loop(\(x,i).((x * 2) * 2),x,1) + ((x * x) * (x * x)))
A001589: 1 5 32 145 512 1649 5392 18785 69632 268705 1058576 4208945 16797952 67137425 268473872 1073792449
(loop(\(x,i).((x * 2) * 2),x,1) - ((x * x) * (x * x)))
A024040: 1 3 0 ~17 0 399 2800 13983 61440 255583 1038576 4179663 16756480 67080303 268397040 1073691199
(loop(\(x,i).((2 + 1) * x),x,1) - ((x * x) * (x * x)))
A024027: 1 2 ~7 ~54 ~175 ~382 ~567 ~214 2465 13122 49049 162506 510705 1565762 4744553 14298282
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,x) * (x * x))
A128793: 0 7 392 9261 153664 2100875 25412184 282475249 2951578112 29417779503 282475249000 2631821894933 23917744283328 212865155864179 1861044111897656 16023020096057625
(loop(\(x,i).(x * 2),x,1) - (((x * x) * x) * (x * x)))
A024015: 1 1 ~28 ~235 ~1008 ~3093 ~7712 ~16679 ~32512 ~58537 ~98976 ~159003 ~244736 ~363101 ~521440 ~726607
(loop(\(x,i).(i * x),x,1) - (((x * x) * x) * (x * x)))
A196412: 1 0 ~30 ~237 ~1000 ~3005 ~7056 ~11767 7552 303831 3528800 39755749 478752768 6226649507 87177753376 1307673608625
loop(\(x,i).(((i - 1) mod (((2 + 2) * 2) + 1)) + x),x,x)
A037123: 0 1 3 6 10 15 21 28 36 45 46 48 51 55 60 66
loop(\(x,i).((((2 + 1) * 2) + (2 div (i + 1))) * x),x,x)
A269895: 0 7 84 756 6048 45360 326592 2286144 15676416 105815808 705438720 4655895552 30474952704 198087192576 1279948013568 8228237230080
compr(\x.loop(\(x,i).(x div (2 - ((x mod (2 + 1)) div 2))),x,x),x)
A295897: 0 1 3 6 7 12 13 15 24 25 27 30 31 48 49 51
((loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),x) + x) * x)
A133496: 0 841 3364 7569 13456 21025 30276 41209 53824 68121 84100 101761 121104 142129 164836 189225
compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x)
A233524: 0 1 2 4 5 8
A340956-A003714: 0 1 2 4 5 8 9 10 16 17 18 20 21 32 33 34
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - ((x * x) * x))
A024104: 1 8 73 702 6497 58924 531225 4782626 43046209 387419760 3486783401 31381058278 282429534753 2541865826132 22876792452217 205891132091274
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - ((x * x) * x))
A024065: 1 5 28 189 1232 7651 46440 279593 1679104 10076967 60465176 362795725 2176780608 13060691819 78364161352 470184981201
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) + ((x * x) * x))
A318165: 1 3 13
A241527: 1 3 13 41 105 247 581 1437 3793 10571 30525 89905 267449 799359 2394229 7177829
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - ((x * x) * x))
A024091: 1 7 56 485 4032 32643 261928 2096809 16776704 134216999 1073740824 8589933261 68719475008 549755811691 4398046508360 35184372085457
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - ((x * x) * x))
A024052: 1 4 17 98 561 3000 15409 77782 390113 1952396 9764625 48826794 244138897 1220700928 6103512881 30517574750
(loop(\(x,i).(x * x),2,(((x * x) * x) * (x * x))) * x)
A010809: 0 1 2097152 10460353203 4398046511104 476837158203125 21936950640377856 558545864083284007 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((2 div (((x + 1) mod (((2 + 2) * 2) + 1)) + 1)) + 1)
A231071: 2 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1
(((0 - 2) mod ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1)
A338882: 1 1 2 3 4 5 6 7 8 1 1 2 3 4 5 6
((2 mod ((x mod ((((x mod 2) * 2) * 2) + 1)) + 1)) + 1)
A095345: 1 1 1 3 1 1 1 3 1 3 1 1 1 3 1 1
(((x * x) mod (((x + 1) div ((2 + 2) + 1)) + 1)) + 1)
A049236: 1 1 1 1 1 2 1 2 1 1 2 2 1 2 1 2
(((x * x) mod (((x - 1) mod ((2 + 2) + 1)) + 1)) + 1)
A238408: 1 1 1 1 1 1 1 2 2 2 1 1 1 2 1 1
((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A184848-A184720: 1 1 1 1 1 2 1 1 2 2 1 1 2 2 3 1
(((x + 2) - (2 div ((x div ((2 + 2) + 1)) + 1))) + 1)
A286926-A187392-A145198-A121229-A083210: 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17 18
((((x * x) div 2) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A214709: 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1
(((x mod (2 + 1)) div ((x mod ((2 + 2) + 1)) + 1)) + 1)
A023591: 1 1 1 1 1 3 1 1 1 1 2 2 1 1 1 1
(((x mod (2 + 2)) mod ((x mod ((2 + 2) + 1)) + 1)) + 1)
A255825: 1 2 3 4 1 1 1 1 1 2 1 2 1 2 3 1
(x mod ((2 - (2 div ((x mod ((2 + 2) + 1)) + 1))) + 1))
A101671: 0 1 2 0 1 0 0 1 2 0 0 1 0 1 2 0
(((x * 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) + 1)
A245234: 1 3 5 7 9 11 13 15 17 19 2 4 6 8 10 12
((x mod ((((x div (2 + 1)) * 2) div (2 + 1)) + 1)) + 1)
A097868: 1 1 1 1 1 1 1 2 1 1 2 3 1 2 3 4
((((x * x) - 2) div (((2 + 2) * (2 + 1)) + 1)) + 1)
A082543: 0 0 1 1 2 2 3 4 5 7
(x - (((1 - x) div (((2 + 2) * (2 + 1)) - 1)) - 1))
A083794-A083792: 1 2 4 5 6 7 8 9 10 11 12 13 14 16 17 18
(x - (((2 - x) div (((2 + 2) * (2 + 1)) - 1)) - 1))
A333638: 1 2 3 5 6 7 8 9 10 11 12 13 14 15 17 18
(((x div 2) mod ((((x div 2) * 2) mod (2 + 1)) + 1)) + 1)
A157129: 1 1 2 2 1 1 1 1 2 2 2 2 1 1 2 2
(((x div 2) div ((((x mod 2) * 2) * (2 + 1)) + 1)) + 1)
A308073: 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2
((((x * x) * 2) mod (((x div 2) div (2 + 1)) + 1)) + 1)
A046533-A046532: 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1
((x mod ((((x div (2 + 1)) - x) div (2 + 1)) - 1)) + 1)
A292049: 1 0 1 0 1 0 1 ~1 0 1 ~1 0 1 ~2 0 1
(((x * 2) div ((((x + 1) * x) mod (2 + 1)) + 1)) + 1)
A146535: 1 1 5 7 3 11 13 5 17 19 7 23 25 9 29 31
((x div (((x div (0 - 2)) * (x div (2 + 1))) - 1)) + 1)
A131483: 1 0 ~1 0 ~1 ~1 0 0 0 0 0 0 0 0 0 0
(((x - (x mod (2 + 1))) * ((x div (2 + 1)) + 1)) + 1)
A092076: 1 1 1 7 7 7 19 19 19 37 37 37 61 61 61 91
(((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) + 1)
A305300-A175851: 1 1 1 2 1 2 1 2 3 4 1 2 1 2 3 4
((((x div (2 + 2)) + x) div ((x div (2 + 1)) + 1)) + 1)
A123182: 1 2 3 2 3 4 3 3 4
(((x + 1) * 2) div ((2 mod ((x mod (2 + 1)) + 1)) + 1))
A068217: 2 4 2 8 10 4 14 16 6 20 22 8 26 28 10 32
(((x + 2) * 2) div ((2 mod ((x mod (2 + 1)) + 1)) + 1))
A059030: 4 6 2 10 12 4 16 18 6 22 24 8 28 30 10 34
(((1 - x) mod (((x * 2) mod ((x div 2) + 1)) + 1)) + 1)
A068347: 1 1 1 1 1 1 1 1 2 1 1 1 2 1 3 1
(x mod ((x mod (((0 - x) mod ((x div 2) + 1)) + 1)) + 1))
A334208-A271420-A099313: 0 0 0 1 0 1 0 1 2 1 0 1 0 1 2 1
((x + 2) - ((x div (((2 + 2) * (0 - 2)) - 1)) - 1))
A008521: 3 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20
(x - ((((x div (2 + 1)) * 2) div ((0 - 2) - 1)) - 1))
A188087: 1 2 3 5 6 7 9 10 11 12 13 14 16 17 18 20
((x * 2) - (((x mod (2 + 2)) mod ((0 - 2) - 1)) - 1))
A047576: 1 5 6 7 9 13 14 15 17 21 22 23 25 29 30 31
(x - ((((x div (2 + 2)) + x) div ((0 - 2) - 1)) - 1))
A184618-A136119: 1 3 4 5 7 8 10 11 13 14 15 17 18 20 21 22
((((x mod 2) + (x * 2)) + (x mod ((0 - 2) - 1))) + 1)
A222011: 1 2 4 8
A133007: 1 2 4 8 7 11 13 14
((2 div (((x + 2) mod (((2 + 2) + 1) * 2)) + 1)) + 1)
A337199: 1 1 1 1 1 1 1 1 3 2 1 1 1 1 1 1
(((0 - 2) mod ((x mod (((2 + 2) + 1) * 2)) + 1)) + 1)
A214950-A051802-A051801: 1 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5
((x div ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)
A087233: 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4
(((x * 2) mod (((x mod ((2 + 2) + 1)) div 2) + 1)) + 1)
A030558: 1 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1
(x - ((x div ((((x div 2) div (2 + 1)) + 2) + 1)) - 1))
A208746: 1 2 3 3 4 5 6 7 7 8 9 10 11 12 13 13
((((x * 2) * (x + 1)) * (((2 + 1) * 2) + 1)) + 1)
A195314: 1 29 85 169 281 421 589 785 1009 1261 1541 1849 2185 2549 2941 3361
(((x * 2) - ((x + 1) div (((2 + 1) * 2) + 1))) + 1)
A329827-A182765: 1 3 5 7 9 11 12 14 16 18 20 22 24 25 27 29
(((((x * x) * x) + 1) mod (((2 + 1) * 2) + 1)) - 1)
A175629: 0 1 1 ~1 1 ~1 ~1 0 1 1 ~1 1 ~1 ~1 0 1
((((x * x) * (2 + 2)) * (((2 + 1) * 2) + 1)) + 1)
A158556: 1 29 113 253 449 701 1009 1373 1793 2269 2801 3389 4033 4733 5489 6301
(x - ((((1 - x) * 2) div (((2 + 1) * 2) + 1)) - 1))
A286924: 1 2 4 5 6 8 9 10 11 13 14 15 17 18 19 20
(((((x + 1) * x) div 2) * (((2 + 1) * 2) + 1)) + 1)
A069099: 1 8 22 43 71 106 148 197 253 316 386 463 547 638 736 841
(((((x + 2) * x) div 2) div (((2 + 1) * 2) + 1)) + 1)
A091581-A088670: 1 1 1 2 2 3 4 5 6 8 9 11 13 14 17 19
(((x * 2) - ((x * 2) div (((2 + 1) * 2) + 1))) + 1)
A285074-A213908-A186315-A186219: 1 3 5 7 8 10 12 13 15 17 19 20 22 24 25 27
(((((x div 2) mod 2) * x) div (((2 + 1) * 2) + 1)) + 1)
A117147: 1 1 1 1 1 1 1 2 1 1 2 2 1 1 3 3
((x div (((x div 2) mod ((x mod (2 + 1)) + 2)) + 1)) + 1)
A160419: 1 2 2 2 2 2 4 8
(((x div (2 + 1)) mod (((x mod (2 + 1)) * 2) - 1)) + 1)
A331368: 1 1 1 1 1 2 1 1 3 1 1 1 1 1 2 1
((x div ((x div ((2 mod ((x div 2) + 1)) + 2)) + 1)) + 1)
A096036: 1 2 2 2 3 3 4 4 3 4 4 4 4 4 4 4
((((x + 2) * (2 + 1)) * (((x + 1) * 2) + 1)) - 1)
A227721: 17 44 83 134 197 272 359 458 569 692 827 974 1133 1304 1487 1682
(((x * 2) - ((x * 2) div (((0 - 2) - 2) - 1))) + 1)
A231407: 1 4 6
A189926-A060106: 1 4 6 9 11 13 16 18 21 23 25 28 30 33 35 37
(x - ((((x + 2) * x) div (((0 - 2) - 2) - 1)) - 1))
A184013: 1 3 5 7 10 13 17 21 25 30 35 41 47 53 60 67
((((x + 2) + 2) - (x div (((0 - 2) - 2) - 1))) + 1)
A043694-A043602-A031950: 5 7 8 9 10 11 13 14 15 16 17 19 20 21 22 23
(0 - ((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)))
A216607-A025672-A025665: 0 0 1 0 1 0 2 1 0 2 1 0 3 2 1 0
(1 - ((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)))
A084822-A023116: 1 1 2 1 2 1 3 2 1 3 2 1 4 3 2 1
((x div (2 - (x div (((x mod (0 - 2)) * 2) - 1)))) + 1)
A336312: 1 1 1 2 1 2 1 2 1 2 1 2 1 2 1 3
(((x * 2) mod (((((2 + 2) + 1) * 2) * 2) + 1)) + 1)
A238704: 1 3 5 7 9 11 13 15 17 19 21 2 4 6 8 10
(x - ((x div (((x div ((0 - 2) - 2)) - 2) - 1)) - 1))
A183300: 1 3 4 5 6 7 9 10 11 12 13 14 15 16 17 19
((x mod (x - (((((x + 1) div 2) div 2) div 2) - 1))) + 1)
A255828: 1 2 3 4 5 6 7 1 1 1 1 1 1 1 1 2
((x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1)) + 1)
A324918-A120186: 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 4
(((x mod ((0 - 2) - 1)) mod (((2 + 2) * 2) + 1)) + 1)
A073636: 1 8 9 1 8 9 1 8 9 1 8 9 1 8 9 1
(((0 - (x mod (2 + 1))) mod (((2 + 2) * 2) + 1)) + 1)
A275615: 1 9 8 1 9 8 1 9 8 1 9 8 1 9 8 1
((((2 + 2) * (x + 1)) * (((2 + 2) * 2) + 1)) + 1)
A158065: 37 73 109 145 181 217 253 289 325 361 397 433 469 505 541 577
((((2 + 2) * (x + 1)) * (((2 + 2) * 2) + 1)) - 1)
A044518: 35 71 107 143 179 215 251 287 323 359 395 431 467 503 539 575
((((x * 2) * (x + 1)) * (((2 + 2) * 2) + 1)) + 1)
A195316: 1 37 109 217 361 541 757 1009 1297 1621 1981 2377 2809 3277 3781 4321
((((x * 2) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A254373: 1 5 4 7 5 7 4 5 1 1 5 4 7 5 7 4
((((x * x) * (2 + 2)) * (((2 + 2) * 2) + 1)) + 1)
A158591: 1 37 145 325 577 901 1297 1765 2305 2917 3601 4357 5185 6085 7057 8101
(x - ((((1 - x) * 2) div (((2 + 2) * 2) + 1)) - 1))
A184516: 1 2 4 5 6 7 9 10 11 12 13 15 16 17 18 20
(((((x + 1) * x) div 2) * (((2 + 2) * 2) + 1)) + 1)
A081273-A060544: 1 10 28 55 91 136 190 253 325 406 496 595 703 820 946 1081
(((((x - 1) * x) div 2) mod (((2 + 2) * 2) + 1)) + 1)
A133292: 1 1 2 4 7 2 7 4 2 1 1 2 4 7 2 7
(x - ((((2 - x) * 2) div (((2 + 2) * 2) + 1)) - 1))
A183292: 1 2 3 5 6 7 8 10 11 12 13 14 16 17 18 19
(x - (((1 - (x * 2)) div (((2 + 2) * 2) + 1)) - 1))
A247782: 1 3 4 5 6 7 9 10 11 12 14 15 16 17 18 20
(((((x + 2) + 1) * x) mod (((2 + 2) * 2) + 1)) + 1)
A275704: 1 5 2 1 2 5 1 8 8 1 5 2 1 2 5 1
(((((x * 2) + 1) * x) * (((2 + 2) * 2) + 1)) + 1)
A272399: 1 28 91 190 325 496 703 946 1225 1540 1891 2278 2701 3160 3655 4186
(x - (x mod (x - ((x mod (((2 + 2) * 2) + 1)) - 1))))
A265523: 0 1 2 3 4 5 6 7 8 0 10 10 10 10 10 10
((((x + 1) div 2) mod ((x div ((2 + 2) * 2)) + 1)) + 1)
A086247: 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1
((2 mod ((x mod (((2 - x) mod (2 + 2)) + 2)) + 1)) + 1)
A154754: 1 1 1 3 1 3 1 3 1 1 1 1 1 1 1 1
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1)
A341510-A196238-A130146-A113764-A002024: 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6
(x - (((2 - x) div (((x div (2 + 2)) + 2) + 1)) - 1))
A046841: 1 2 3 5 6 7 8 10 11 12 13 14 15 16 17 19
((0 - x) mod ((x mod (((x div (2 + 2)) * 2) - 1)) + 1))
A036870: 0 0 0 0 0 0 0 0 1 0 0 1 0 3 1 0
((((x * x) div 2) mod ((((x - 2) * 2) * 2) - 1)) + 1)
A010558: 1 1 1 2 2 2 4 6 10
((2 mod ((((x - 2) mod ((x div 2) + 2)) div 2) + 1)) + 1)
A082457: 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3
((x mod (((x - 1) mod (((x div 2) + 2) + 2)) + 1)) + 1)
A309932: 1 1 1 1 1 1 1 1 1 1 1 2 1 2 3 4
((((x - 1) div 2) div ((((x mod 2) + 2) * 2) + 1)) + 1)
A028950: 0 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2
(((x div 2) - (x div ((((x mod 2) + 2) * 2) + 1))) + 1)
A156251: 1 1 2 2 3 3 3 3 4 4 4 5 5 6 6 6
((2 div (((((x div 2) * x) - 1) mod (2 + 2)) + 1)) + 1)
A092334-A092332: 1 1 2 1 1 2 2 3 1 1 2 1 1 2 2 3
((((x + 2) * 2) mod (((x + 1) mod (2 + 2)) + 1)) + 1)
A344759: 1 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1
((x div (((x mod (2 + 2)) + 1) * ((2 + 2) + 1))) + 1)
A333893-A065941: 1 1 1 1 1 1 1 1 2 1 1 1 3 2 1 1
(((x - (((x mod 2) * 2) - 1)) div ((2 + 2) + 1)) + 1)
A325357: 1 1 1 1 2 1 2 2 2 2 3 3 3 3 4 3
(((((x + 1) * 2) * (2 + 1)) * ((2 + 2) + 1)) - 1)
A128469: 29 59 89 119 149 179 209 239 269 299 329 359 389 419 449 479
(x - ((((x div 2) div (2 + 1)) * ((2 + 2) + 1)) - 1))
A173526: 1 2 3 4 5 6 2 3 4 5 6 7 3 4 5 6
(((((x * x) * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1)
A158558: 1 31 121 271 481 751 1081 1471 1921 2431 3001 3631 4321 5071 5881 6751
(x - ((((1 - x) div (2 + 1)) * ((2 + 2) + 1)) - 1))
A283774: 1 2 8 9 10 16 17 18 24 25 26 32 33 34 40 41
(x - (((((x mod 2) + x) + 1) div ((2 + 2) + 1)) - 1))
A091960: 1 2 3 3 4 5 6 7 8 8 9 10 11 11 12 13
(((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)) + 1)
A158060: 26 51 76 101 126 151 176 201 226 251 276 301 326 351 376 401
(((((x + 1) * 2) * (x + 1)) * ((2 + 2) + 1)) - 1)
A158447: 9 39 89 159 249 359 489 639 809 999 1209 1439 1689 1959 2249 2559
(((((x + 1) * 2) * (x + 1)) div ((2 + 2) + 1)) + 1)
A025696: 1 2 4 7 11 15 20 26 33 41 49 58 68 79 91 103
(((((x * 2) * 2) * (x + 1)) * ((2 + 2) + 1)) + 1)
A195317: 1 41 121 241 401 601 841 1121 1441 1801 2201 2641 3121 3641 4201 4801
(((1 - x) * x) mod (((x + 1) div ((2 + 2) + 1)) + 1))
A024158: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2
(((((x - 2) * 2) * (x - 1)) div ((2 + 2) + 1)) + 1)
A185170: 1 1 1 1 3 5 9 13 17 23 29 37 45 53 63 73
((((x mod 2) - (x div (0 - 2))) * ((2 + 2) + 1)) + 1)
A122088: 1 11 6 16 11 21 16 26 21 31 26 36 31 41 36 46
(((x * 2) - ((x div (0 - 2)) * ((2 + 2) + 1))) + 1)
A061908-A056020: 1 8 10 17 19 26 28 35 37 44 46 53 55 62 64 71
((((x mod ((2 + 2) + 1)) * 2) * ((2 + 2) + 1)) + 1)
A108812: 1 11 21 31 41 1 11 21 31 41 1 11 21 31 41 1
((((((x * 2) * 2) + 1) * 2) div ((2 + 2) + 1)) + 1)
A225647: 1 3 4 6 7
A330095-A284773-A182770-A059552-A047516: 1 3 4 6 7 9 11 12 14 15 17 19 20 22 23 25
(((((x * 2) * (2 + 1)) + 2) * ((2 + 2) + 1)) + 1)
A128467: 11 41 71 101 131 161 191 221 251 281 311 341 371 401 431 461
((x * x) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070451: 0 1 4 9 16 25 7 20 6 23 13 5 28 24 22 22
(((x * 2) - (((x - 1) * 2) div ((2 + 2) + 1))) + 1)
A295282: 2 3 5 7 8 10 11 13 15 16 18 19 21 23 24 26
((((((x * 2) + 1) * 2) * 2) * ((2 + 2) + 1)) - 1)
A250024: 19 59 99 139 179 219 259 299 339 379 419 459 499 539 579 619
(((x mod (1 - ((2 + 2) * 2))) div ((2 + 2) + 1)) + 1)
A016428-A016425-A016417-A016407-A016404-A016393-A016384-A016377-A016374-A016367-A016358-A016355-A016341-A016332-A016270-A014016-A011654: 1 ~1 0 0 0 0 0 1 ~1 0 0 0 0 0 1 ~1
((x * x) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070463: 0 1 4 9 16 25 36 8 23 40 18 39 21 5 32 20
((x * x) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070461: 0 1 4 9 16 25 36 10 25 3 22 4 27 13 1 30
(((((x * x) * (2 + 2)) * 2) * ((2 + 2) + 1)) + 1)
A158602: 1 41 161 361 641 1001 1441 1961 2561 3241 4001 4841 5761 6761 7841 9001
(((x - ((x div 2) mod (2 + 2))) div ((2 + 2) + 1)) + 1)
A025790: 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 3
((((((2 + 1) * x) + 2) * 2) * ((2 + 2) + 1)) - 1)
A156376: 19 49 79 109 139 169 199 229 259 289 319 349 379 409 439 469
((((((x - 1) * x) div 2) + 2) mod ((2 + 2) + 1)) - 1)
A175922: 1 1 2 ~1 2 1 1 2 ~1 2 1 1 2 ~1 2 1
(x - (((((2 - x) div 2) * 2) div ((2 + 2) + 1)) - 1))
A337533-A283296-A166546-A164514: 1 2 3 5 6 7 8 10 11 12 13 14 15 17 18 19
(x - ((((1 - (x div 2)) * 2) div ((2 + 2) + 1)) - 1))
A187968: 1 2 3 4 6 7 8 9 11 12 13 14 15 16 18 19
((((((x + 2) + 1) * x) div 2) * ((2 + 2) + 1)) + 1)
A166137: 1 11 26 46 71 101 136 176 221 271 326 386 451 521 596 676
(((x * 2) - (((1 - x) * 2) div ((2 + 2) + 1))) + 1)
A286666: 1 3 6 8 11 13 15 18 20 23 25 27 30 32 35 37
(((x * 2) - (((2 - x) div 2) div ((2 + 2) + 1))) + 1)
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A138829: 1 3 5 8 10 12 14 16 18 20 22 24 26 29 31 33
(2 - ((2 + 1) div (((x + 2) mod ((2 + 2) + 1)) + 1)))
A175921: 1 2 2 ~1 1 1 2 2 ~1 1 1 2 2 ~1 1 1
(((2 + 1) * x) - (((x * 2) div ((2 + 2) + 1)) - 1))
A186323: 1 4 7 9 12 14 17 20 22 25 27 30 33 35 38 40
(((2 + 2) * 2) mod (((x * 2) mod ((2 + 2) + 1)) + 1))
A152857: 0 2 3 0 0 0 2 3 0 0 0 2 3 0 0 0
(x - ((((1 - x) - (x mod 2)) div ((2 + 2) + 1)) - 1))
A304808-A077656: 1 3 4 5 6 7 8 10 11 12 13 15 16 17 18 19
((((((x + 1) * 2) + 1) * x) div ((2 + 2) + 1)) + 1)
A008823: 1 2 3 6 9 14 19 24 31 38 47 56 65 76 87 100
(x - ((((x div (2 + 1)) + x) div ((2 + 2) + 1)) - 1))
A328309: 1 2 3 4 4 5 6 7 7 8 9 10 10 11 12 12
(((((2 + 2) * (x + 1)) + x) * ((2 + 2) + 1)) - 1)
A044096: 19 44 69 94 119 144 169 194 219 244 269 294 319 344 369 394
(x - (((((x div 2) mod 2) - x) div ((2 + 2) + 1)) - 1))
A304804-A184530: 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18 19
(((x * 2) - (((x div 2) + x) div ((2 + 2) + 1))) + 1)
A186342: 1 3 5 7 8 10 12 13 15 17 18 20 22 24 25 27
((x - 1) mod ((((x mod 2) * x) div ((2 + 2) + 1)) + 1))
A280683: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2
(((((x - 1) div 2) div 2) - (x div ((2 + 2) + 1))) + 1)
A320015: 0 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1
((x + 2) - (2 mod (0 - ((x div ((2 + 2) + 1)) + 1))))
A102466-A067340-A062770: 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 19
((1 - (x div (2 + 1))) mod ((x div ((2 + 2) + 1)) + 1))
A048485: 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0
((x * 2) - (1 - (2 div ((x div ((2 + 2) + 1)) + 1))))
A184808: 1 3 5 7 9 10 12 14 16 18 19 21 23 25 27 29
((((x div 2) + 1) * x) mod ((x div ((2 + 2) + 1)) + 1))
A342557-A334621-A289618-A280710-A268374-A071006: 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0
(1 - (((2 + 2) + 1) mod ((x mod ((2 + 2) + 1)) + 1)))
A131670: 1 0 ~1 0 1 1 0 ~1 0 1 1 0 ~1 0 1 1
((x div ((2 + 2) + 1)) div ((x mod ((2 + 2) + 1)) + 1))
A036869-A036868: 0 0 0 0 0 1 0 0 0 0 2 1 0 0 0 3
((x mod ((x mod 2) + 2)) div ((x mod ((2 + 2) + 1)) + 1))
A060862: 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
((x * 2) - (1 - (2 div ((x mod ((2 + 2) + 1)) + 1))))
A001742: 1 2 3 5 7 11 12 13 15 17 21 22 23 25 27 31
((x * 2) mod ((((1 - x) * x) mod ((2 + 2) + 1)) - 1))
A281154-A279372: 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0
((((((x * x) - 2) * x) * x) * ((2 + 2) + 1)) + 1)
A121671: 1 ~4 41 316 1121 2876 6121 11516 19841 31996 49001 71996 102241 141116 190121 250876
(((x + 1) mod ((((x mod 2) * x) div (2 + 2)) + 1)) + 1)
A237513-A069897: 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1
(((x * x) div (((x * 2) - (x div (2 + 2))) + 1)) + 1)
A225215: 1 1 1 2 3 3 4 4 5 5 6 6 7 8 8 9
(x - (((x + 1) mod (0 - ((x div (2 + 2)) + 1))) - 1))
A134361: 1 2 3 4 6 6 8 8 9 12 12 12 16 16 16 16
(((x - ((2 + 2) + 1)) mod ((x div (2 + 2)) + 1)) + 1)
A205781: 1 1 1 1 2 1 2 1 1 2 3 1 4 1 2 3
((x + 1) mod (((x - 1) mod ((x div (2 + 2)) + 1)) + 1))
A100563: 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1
((((x div (2 + 1)) * 2) mod ((x div (2 + 2)) + 1)) + 1)
A345932: 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3
(((((x div 2) - 2) * 2) mod ((x div (2 + 2)) + 1)) + 1)
A152905: 1 1 1 1 1 1 1 1 2 2 1 1 1 1 3 3
(((x + 2) - ((x div 2) mod ((x div (2 + 2)) + 1))) + 1)
A154660: 3 4 5 6 7 8
A248631: 3 4 5 6 7 8 8 9 10 11 11 12 13 14 14 15
((((x mod (2 + 2)) + x) * ((x div (2 + 2)) + 1)) + 1)
A200975: 1 3 5 7 9 13 17 21 25 31 37 43 49 57 65 73
(((((x * x) - 1) div 2) mod ((x mod (2 + 2)) + 1)) + 1)
A079229: 1 1 2 1 1 1 3 1 1 1 2 1 1 1 2 1
(x - (((x * x) div ((((0 - x) - 2) * 2) - 1)) - 1))
A186499-A110882: 1 3 4 5 7 8 10 11 13 14 15 17 18 20 21 23
(x - ((((x * x) - 1) div (((x + 2) + 2) + 1)) - 1))
A137397: 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5
((((x - (2 + 2)) * 2) * (((x + 2) + 2) + 1)) - 1)
A155769: ~41 ~37 ~29 ~17 ~1 19 43 71 103 139 179 223 271 323 379 439
(x - ((((x * x) + 2) div (((x + 2) + 2) + 1)) - 1))
A316846: 1 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5
((2 div (((x * x) - 2) mod (((x + 2) + 2) + 1))) + 1)
A175432: 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1
(x - ((((x * x) div 2) div (((x + 2) * 2) + 1)) - 1))
A291764: 1 2 3 4 5 6 6 7 8 9 9 10 11 12 13 13
(x - ((((x * x) div 2) div (((x div 2) + 2) + 1)) - 1))
A061775: 1 2 3 3 4 4 4 4 5 5 5 5 5 5 6 5
(((((x div 2) + x) + 1) * (((x div 2) * 2) + 1)) - 1)
A195818: 0 1 11 14 34 39 69 76 116 125 175 186 246 259 329 344
(((x + 1) mod (((x + 1) div ((x mod 2) + 2)) + 1)) + 1)
A290988: 1 1 2 1 3 1 4 3 5 3 6 3 7 5 8 5
(((((x * x) div 2) + 2) * (((x mod 2) * 2) + 1)) + 1)
A282598: 3 7 5 19 11
(((((x - 2) mod ((2 + 2) + 1)) - 1) mod (2 + 1)) - 1)
A156174: 1 ~1 1 ~1 0 1 ~1 1 ~1 0 1 ~1 1 ~1 0 1
(x div (((((x - 1) mod (2 + 1)) + 1) * (2 + 1)) + 1))
A288165: 0 0 0 0 1 0 0 1 1 0 2 1 1 3 2 1
((((((x + 1) div 2) * (2 + 1)) + 1) * (2 + 1)) + 1)
A168401: 4 13 13 22 22 31 31 40 40 49 49 58 58 67 67 76
((((((x * 2) + 1) * (x + 1)) + 1) * (2 + 1)) + 1)
A129109: 7 22 49 88 139 202 277 364 463 574 697 832 979 1138 1309 1492
((((((2 + 1) * 2) mod (x + 1)) + 1) mod (2 + 1)) + 1)
A194290: 2 2 2 1 3 2 2 2 2 2 2 2 2 2 2 2
((x div 2) mod (((((x + 1) div 2) + 1) mod (2 + 1)) + 1))
A284817: 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0
((((x * 2) mod (((0 - 2) - 2) - 1)) div (2 + 1)) + 1)
A105367: 1 0 0 ~1 0 1 0 0 ~1 0 1 0 0 ~1 0 1
(((0 - ((x * 2) mod ((2 + 2) + 1))) div (2 + 1)) + 1)
A105385: 1 0 ~1 0 0 1 0 ~1 0 0 1 0 ~1 0 0 1
(((((x + 1) * x) * ((2 + 2) + 1)) div (2 + 1)) + 1)
A298787: 1 4 11 21 34 51 71 94 121 151 184 221 261 304 351 401
(((2 mod ((x mod ((x mod 2) + 2)) + 1)) * (2 + 1)) + 1)
A339748-A325470: 1 1 1 1 1 7 1 1 1 1 1 7 1 1 1 1
(((2 - ((x div (0 - 2)) * (2 + 1))) * (2 + 1)) - 1)
A168213: 5 14 14 23 23 32 32 41 41 50 50 59 59 68 68 77
(x - ((((x div (0 - 2)) * (2 + 1)) * (2 + 1)) - 1))
A101233: 1 11 12 22 23 33 34 44 45 55 56 66 67 77 78 88
((x * x) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070459: 0 1 4 9 16 25 36 12 27 7 26 10 33 21 11 3
((x * x) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A070457: 0 1 4 9 16 25 1 14 29 11 30 16 4 29 21 15
(((x - ((x div (2 + 2)) mod (2 + 1))) div (2 + 1)) + 1)
A132011: 1 1 1 2 2 2 2 3 3 3 3 4 5 5 5 6
(((((x + 2) * x) - (x mod (2 + 1))) div (2 + 1)) + 1)
A212984: 1 1 3 6 8 12 17 21 27 34 40 48 57 65 75 86
(((((x * x) + 2) * ((x + 2) + 1)) div (2 + 1)) + 1)
A155753: 3 5 11 23 43 73 115 171 243 333 443 575 731 913 1123 1363
(((((x + 1) * 2) * ((x * 2) + 1)) * (2 + 1)) + 1)
A154105: 7 37 91 169 271 397 547 721 919 1141 1387 1657 1951 2269 2611 2977
(((((x + 2) * 2) * ((x * 2) + 1)) div (2 + 1)) + 1)
A194111: 2 7 14 24 37 52 70 91 114 140 169 200 234 271 310 352
((((x - (2 + 1)) mod ((x div 2) + 1)) div (2 + 1)) + 1)
A031262: 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 2
(((((x + 1) div 2) * ((x div 2) + 1)) * (2 + 1)) + 1)
A194073: 1 4 7 13 19 28 37 49 61 76 91 109 127 148 169 193
((x - (2 + 1)) mod ((((x div 2) + 1) div (2 + 1)) + 1))
A215592-A073189-A025684-A025678: 0 0 0 0 1 0 1 0 1 0 1 2 0 1 2 0
(((x * 2) - ((x mod ((x div 2) + 1)) div (2 + 1))) + 1)
A286999: 1 3 5 7 9 11 13 14 16 18 20 22 24 25 27 29
((((((x * x) + (x mod 2)) * x) + 1) div (2 + 1)) + 1)
A018259: 1 2 4 11 22 44
((((((x * 2) * 2) + 1) * (x + 1)) div (2 + 1)) + 1)
A022781: 1 4 10 18 29 43 59 78 100 124 151 181 213 248 286 326
((((2 - (x div (0 - 2))) * (x + 1)) div (2 + 1)) + 1)
A225647: 1 3 4 6 7
A011975: 1 3 4 6 7 11 12 17 19 24 26 33 35 43 46 54
((((((x + 2) * 2) * 2) * (x + 1)) div (2 + 1)) + 1)
A202253: 3 9 17 27 41 57 75 97 121 147 177 209 243 281 321 363
((((((x * 2) * 2) * 2) * (x + 1)) div (2 + 1)) + 1)
A301696: 1 6 17 33 54 81 113 150 193 241 294 353 417 486 561 641
((((((2 + 1) * x) + 2) * (x + 1)) * (2 + 1)) + 1)
A304163: 7 31 73 133 211 307 421 553 703 871 1057 1261 1483 1723 1981 2257
(((x * 2) - (((x div 2) * (x + 1)) mod (2 + 1))) + 1)
A327206: 1 3 5 6 8 11 13 15 17 18 20 23 25 27 29 30
(((((x * x) * (x div 2)) * (x + 1)) div (2 + 1)) + 1)
A089794: 1 1 5 13 54
(((x - (x div (0 - 2))) + ((x + 1) div (2 + 1))) + 1)
A106252: 1 3 5 7 8 11 12 14 16 18 19 22 23 25 27 29
((x div (((2 + 2) * 2) - ((x + 1) div (2 + 1)))) + 1)
A239508: 1 1 1 1 1 1 2 2 2 2 3 3 4 4 5 6
((((x div (2 + 1)) + x) + ((x + 1) mod (2 + 1))) - 1)
A131452: 0 2 1 4 6 5 8 10 9 12 14 13 16 18 17 20
((((2 + 2) * (x + 1)) + ((x - 1) mod (2 + 1))) - 1)
A263536: 5 7 12 17 19 24 29 31 36 41 43 48 53 55 60 65
(x - (((((2 - x) * x) * (x - 1)) div (2 + 1)) - 1))
A086514: 1 2 3 6 13 26 47 78 121 178 251 342 453 586 743 926
((x div (0 - 2)) div ((x div ((0 - 2) * (2 + 1))) - 1))
A211263: 0 0 0 1 1 1 1 1 1 1 1 2 2 1 1 2
(x - (((((x + 1) * x) div (0 - 2)) div (2 + 1)) - 1))
A243302: 1 3 4 6 9 11 14 18 21 25
(1 - ((x * x) div (((x div (0 - 2)) * (2 + 1)) - 1)))
A249036: 1 2 2 3 4 4 5 5 6 7 8 8 9 9 10 10
((((x * x) - ((x * x) div (0 - 2))) * (2 + 1)) + 1)
A298034: 1 7 19 43 73 115 163 223 289 367 451 547 649 763 883 1015
((x - (((x div ((0 - 2) - 1)) - 2) div (2 + 1))) + 1)
A095410: 2 3 4 5 7 8 9 10 11 12 13 14 15 17 18 19
((((x div (((2 + 1) * 2) + 1)) * 2) * (2 + 1)) + 1)
A240830: 1 1 1 1 1 1 1 7 7 7 7 7 7 7 13 13
(((((x mod ((2 + 1) * 2)) + 1) * 2) div (2 + 1)) + 1)
A131282: 1 2 3 3 4 5 1 2 3 3 4 5 1 2 3 3
(((((x + 2) mod ((2 + 2) + 1)) * 2) div (2 + 1)) - 1)
A244895: 0 1 1 ~1 ~1 0 1 1 ~1 ~1 0 1 1 ~1 ~1 0
(((((x * 2) div ((2 + 2) + 1)) * 2) div (2 + 1)) + 1)
A063272: 1 1 1 1 1 2 2 2 3 3 3 3 3 4 4 5
((((2 mod ((x div (2 + 2)) + 1)) * 2) * (2 + 1)) + 1)
A290686: 1 1 1 1 1 1 1 1 13 13 13 13 13 13 13 13
(((((x * x) div 2) + ((2 + 1) * 2)) * (2 + 1)) - 1)
A345735: 17 17 23 29 41 53 71 89 113 137 167 197 233 269 311 353
(x - ((x * 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1)))
A249121: 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 9 8 7 6 5 4
(((x div 2) * x) div ((((2 + 1) * 2) * (2 + 1)) + 1))
A015743: 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 5
(x - (x div (x - ((((2 + 1) * 2) * (2 + 1)) + 1))))
A191881: 0 2 3 4 5 6 7 8 9 10 12 13 14 16 17 19
(((x * x) * x) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070481: 0 1 8 8 7 11 7 1 18 7 12 1 18 12 8 12
((((x * 2) - (x mod ((2 + 1) * 2))) div (2 + 1)) + 1)
A020917: 1 1 1 2 2 2 5 5 5 6 6 6 9 9 9 10
((((((x + 2) * x) * (2 + 1)) + 2) * (2 + 1)) + 1)
A259055: 7 34 79 142 223 322 439 574 727 898 1087 1294 1519 1762 2023 2302
((((0 - x) mod ((x div (2 + 1)) + 2)) div (2 + 1)) + 1)
A210721: 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 3
(x div ((((x - (x div (2 + 1))) * 2) div (2 + 1)) + 1))
A231813: 0 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2
((x div ((2 - ((x mod (2 + 1)) mod 2)) * (2 + 1))) + 1)
A117910: 1 1 1 1 2 1 2 3 2 2 4 2 3 5 3 3
(((((((x + 1) * x) div 2) + 1) div 2) * (2 + 1)) + 1)
A213484: 1 4 7 10 16 25 34 43 55 70 85 100 118 139 160 181
((((((x mod 2) + (x * 2)) + 1) * 2) * (2 + 1)) + 1)
A140716: 7 25 31 49 55 73 79 97 103 121 127 145 151 169 175 193
(((x - ((x mod ((x div 2) + 1)) mod 2)) div (2 + 1)) + 1)
A157684-A087847: 1 1 1 1 2 2 3 3 3 4 4 4 4 5 5 5
(x - ((((x mod 2) - ((x + 1) * 2)) * (2 + 1)) + 1))
A113805: 5 9 19 23 33 37 47 51 61 65 75 79 89 93 103 107
(((x div 2) - 1) mod ((((x + 1) div 2) mod (2 + 1)) + 1))
A283683: 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0
((x div ((((x mod (2 + 1)) div 2) + 2) * (2 + 1))) + 1)
A197081: 1 1 1 1 1 1 2 2 1 2 2 2 3 3 2 3
((x * x) div (((((2 + 2) * 2) * 2) * (2 + 1)) + 1))
A265409: 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4
((x * x) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070469: 0 1 4 9 16 25 36 2 17 34 6 27 3 28 8 37
((((((x * x) * (2 + 2)) * 2) * 2) * (2 + 1)) + 1)
A158638: 1 49 193 433 769 1201 1729 2353 3073 3889 4801 5809 6913 8113 9409 10801
((((((x * x) * (2 + 2)) * 2) * 2) * (2 + 1)) - 1)
A065532: ~1 47 191 431 767 1199 1727 2351 3071 3887 4799 5807 6911 8111 9407 10799
(((((x + 2) + 1) mod ((2 + 2) * 2)) mod (2 + 1)) + 1)
A270788: 1 2 3 1 2 1 2 3 1 2 3 1 2 1 2 3
(x mod (((x mod (1 - ((2 + 2) * 2))) mod (2 + 1)) + 1))
A280046: 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0
(((x * x) * x) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070487: 0 1 8 2 14 0 16 18 12 4 0 6 3 22 19 0
(((x - 1) * x) div ((((2 + 2) * 2) * (2 + 1)) - 1))
A011876: 0 0 0 0 0 0 1 1 2 3 3 4 5 6 7 9
(((x * x) * x) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070485: 0 1 8 4 18 10 9 21 6 16 11 20 3 12 7 17
((((x + 2) * x) div (((2 + 2) * 2) * (2 + 1))) + 1)
A029071: 1 1 1 1 2 2 3 3 4 5 6 6 8 9 10 11
(((((x + 1) * x) + ((2 + 2) * 2)) * (2 + 1)) - 1)
A007637: 23 29 41 59 83 113 149 191 239 293 353 419 491 569 653 743
(((((2 - x) * x) mod ((2 + 2) * 2)) * (2 + 1)) + 1)
A146160: 1 4 1 16 1 4 1 16 1 4 1 16 1 4 1 16
((((((x - 1) * x) div (2 + 2)) + 2) div (2 + 1)) + 1)
A008673: 1 1 1 2 2 3 4 5 6 7 9 10 12 14 16 19
(((x - ((2 - (x div (2 + 2))) div 2)) mod (2 + 1)) + 1)
A305391: 3 1 2 3 2 3 1 2 3 1 2 3 2 3 1 2
((((x + 2) div (((x div 2) mod 2) + 2)) div (2 + 1)) + 1)
A261129: 1 1 1 1 2 2 1 2 2 2 2 2 3 3 2 2
(((((x + 1) * x) div 2) + ((2 + 2) * (2 + 1))) + 1)
A173036: 13 14 16 19 23 28 34 41 49 58 68 79 91 104 118 133
((x + 1) div (((x + 2) mod ((2 + 2) * (2 + 1))) + 1))
A338920: 0 0 0 0 0 0 0 0 0 0 11 6 4 3 3 2
(x - ((x div ((x div 2) - ((2 + 2) * (2 + 1)))) - 1))
A091213: 1 3 4 5 6 7 8 9 10 12 13 14 15 17 18 19
(((x * x) * (x * x)) mod (((2 + 2) * (2 + 1)) + 1))
A070517: 0 1 3 3 9 1 9 9 1 9 3 3 1 0 1 3
(((x * x) * (2 + 1)) div (((2 + 2) * (2 + 1)) - 1))
A194213: 0 0 1 2 4 6 9 13 17 22 27 33 39 46 53 61
(((x * x) * (x * x)) mod (((2 + 2) * (2 + 1)) - 1))
A070515: 0 1 5 4 3 9 9 3 4 5 1 0 1 5 4 3
(((((2 + 2) + 1) * x) mod ((2 + 2) * (2 + 1))) + 1)
A258054: 1 6 11 4 9 2 7 12 5 10 3 8 1 6 11 4
(((2 + 1) * x) - ((x mod ((2 + 2) * (2 + 1))) - 1))
A033037: 1 3 5 7 9 11 13 15 17 19 21 23 37 39 41 43
((((x div (2 + 2)) - (x mod (2 + 2))) div (2 + 1)) + 1)
A025864: 1 0 0 0 1 1 0 0 1 1 1 0 2 1 1 1
(((((((2 + 2) + 1) * x) + 2) * 2) * (2 + 1)) + 1)
A082369: 13 43 73 103 133 163 193 223 253 283 313 343 373 403 433 463
(((((x * x) + 2) * ((x + 2) + 2)) div (2 + 1)) - 1)
A160860: 1 4 11 24 47 80
(((x div 2) - 1) mod ((((x div 2) + 2) div (2 + 1)) + 1))
A257684: 0 0 0 0 1 1 0 0 0 0 1 1 2 2 2 2
(2 - ((1 - x) div ((((x div 2) + 2) div (2 + 1)) + 1)))
A061716: 1 2 3 3 4 4 5 5 5 5 5 6 6 6 6 6
(((2 + 2) + 1) mod ((((x div 2) * 2) div (2 + 1)) + 1))
A334235-A321858: 0 0 0 0 1 1 2 2 2 2 1 1 0 0 0 0
(x - ((((0 - x) - ((x div 2) mod 2)) div (2 + 1)) - 1))
A225647: 1 3 4 6 7
A234349: 1 3 4 6 7 8 10 11 12 13 15 16 17 19 20 22
(((x + 2) * 2) div ((((x mod 2) + 2) * (2 + 1)) - 1))
A302604: 0 0 1 1 2 1 3 2 4 2 4 3 5 3 6 4
(((x - ((x div 2) mod ((x mod 2) - 2))) div (2 + 1)) + 1)
A086916: 1 1 2 2 2 2 3 3 3 4 4 4 5 5 6 6
((((((x * x) * (2 + 1)) + x) * 2) * (2 + 1)) + 1)
A081272: 1 25 85 181 313 481 685 925 1201 1513 1861 2245 2665 3121 3613 4141
((((((x * x) * (2 + 1)) + x) div 2) * (2 + 1)) + 1)
A081274-A038764: 1 7 22 46 79 121 172 232 301 379 466 562 667 781 904 1036
((((((x * x) * (2 + 1)) - x) * 2) * (2 + 1)) + 1)
A081589: 1 13 61 145 265 421 613 841 1105 1405 1741 2113 2521 2965 3445 3961
((((((x * x) * (2 + 1)) - x) div 2) * (2 + 1)) + 1)
A080855: 1 4 16 37 67 106 154 211 277 352 436 529 631 742 862 991
((((((2 + 2) * (x + 1)) + x) * 2) * (2 + 1)) - 1)
A128473: 23 53 83 113 143 173 203 233 263 293 323 353 383 413 443 473
(x - ((((((x * x) - 1) * x) div 2) div (2 + 1)) - 1))
A254749: 1 2 2 0 ~5 ~14 ~28 ~48 ~75 ~110 ~154 ~208 ~273 ~350 ~440 ~544
((((((x div (2 + 1)) * 2) + x) * 2) * (2 + 1)) + 1)
A225227: 1 7 13
A073473: 1 7 13 31 37 43 61 67 73
(((((x mod ((x mod 2) + 2)) + x) + 2) div (2 + 1)) + 1)
A016729: 1 2 2 2 3 4 3 4 4 4 5 6 5 6 6 6
(((((((2 + 1) * x) + 2) * x) * 2) * (2 + 1)) + 1)
A081275: 1 31 97 199 337 511 721 967 1249 1567 1921 2311 2737 3199 3697 4231
(((x * 2) - ((((x mod 2) - x) - 2) div (2 + 1))) + 1)
A284589: 2 4 7 9 11 13 16 18 21 23 25 27 30 32 35 37
((x div (((2 + 2) * 2) - ((x - 2) div (2 + 1)))) + 1)
A094996-A025787: 1 1 1 1 1 1 1 2 2 2 2 3 3 3 4 4
(x - ((((x div (2 + 2)) - (x * 2)) div (2 + 1)) - 1))
A186223: 1 3 5 6 8 9 11 13 14 16 17 19 20 22 24 25
(((((x + 1) * x) div 2) + ((x * 2) * (2 + 1))) + 1)
A302537: 1 8 16 25 35 46 58 71 85 100 116 133 151 170 190 211
((((x * x) div (2 + 2)) + ((x * 2) div (2 + 1))) + 1)
A212986: 1 1 3 5 7 10 14 17 22 27 32 38 45 51 59 67
((x * 2) - ((x * x) div (((x * 2) div (2 + 1)) + 1)))
A131138: 0 1 2 3 3 4 5 5 6 7 6 7 8 8 9 10
((((x mod 2) * 2) + 1) mod (((x div 2) div (2 + 1)) + 1))
A011682: 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0
(((x mod (2 + 1)) - 2) mod (((x div 2) div (2 + 1)) + 1))
A319854: 0 0 0 0 0 0 0 1 0 0 1 0 1 2 0 1
(((((x div 2) + 2) div (2 - (x mod 2))) div (2 + 1)) + 1)
A287476: 1 1 1 2 1 2 1 2 2 3 2 3 2 3 2 4
((0 - 2) mod (((x div (2 - (x mod 2))) div (2 + 1)) + 1))
A304034: 0 0 0 0 0 0 0 1 0 2 0 2 1 3 1 4
((((x + 2) * (x + 2)) - ((x mod 2) * (2 + 1))) + 1)
A214345: 5 7 17 23 37 47 65 79 101 119 145 167 197 223 257 287
(((((((x + 2) * 2) + x) * x) + 2) * (2 + 1)) - 1)
A185939: 5 26 65 122 197 290 401 530 677 842 1025 1226 1445 1682 1937 2210
(x - (((((1 - (x * x)) * x) div 2) div (2 + 1)) + 1))
A283551: ~1 0 2 6 13 24 40 62 91 128 174 230 297 376 468 574
(x - (((((1 - (x * x)) * x) div 2) div (2 + 1)) - 1))
A222011: 1 2 4 8
A000125: 1 2 4 8 15 26 42 64 93 130 176 232 299 378 470 576
(x - ((((x div ((2 + 2) + 1)) - x) * (2 + 1)) - 1))
A188261: 1 5 9 13 17 18 22 26 30 34 35 39 43 47 51 52
(((((x * x) div ((2 + 2) + 1)) + x) div (2 + 1)) + 1)
A062490: 1 1 1 2 3 4 5 6 7 9 11 12 14 16 18 21
((((((2 - x) div 2) mod (2 + 1)) + x) div (2 + 1)) + 1)
A058224: 1 1 1 2 3 3 3 3 3 4 5 5 5 5 5 6
(x - (((((x div 2) mod (2 + 1)) - x) div (2 + 1)) - 1))
A047564: 1 3 4 5 6 7 9 11 12 13 14 15 17 19 20 21
((((((x mod 2) + x) div (2 + 1)) + x) div (2 + 1)) + 1)
A287864: 1 1 1 2 2 3 3 4 4 5 5 6 6 6 7 7
(0 - (x div ((((x div (2 + 1)) - x) div (2 + 1)) - 1)))
A235123: 0 1 1 2 2 2 2 3 3 3 3 3 3 4 3 3
((((((x + 2) * (x + 2)) + 1) * x) div (2 + 1)) + 1)
A212973: 1 4 12 27 50 84 131 192 270 367 484 624 789 980 1200 1451
((((((x * x) * (x + 2)) - 1) * x) * (2 + 1)) + 1)
A181475: 1 7 91 397 1141 2611 5167 9241 15337 24031 35971 51877 72541 98827 131671 172081
((((((x - (2 + 1)) * x) - 1) * x) div (2 + 1)) - 1)
A109620: ~1 ~2 ~3 ~2 3 14 33 62 103 158 229 318 427 558 713 894
(x - (((((x div 2) div (0 - 2)) - x) div (2 + 1)) - 1))
A225647: 1 3 4 6 7
A186159-A184578: 1 3 4 6 7 8 10 11 13 14 16 17 18 20 21 23
((x - (((((x div 2) - 1) div 2) - x) * (2 + 1))) - 1)
A088227: 2 6 7 11 15 19 20 24 28 32 33 37 41 45 46 50
(((((x * x) div ((2 + 2) * 2)) + x) div (2 + 1)) + 1)
A025767: 1 1 1 2 3 3 4 5 6 7 8 9 11 12 13 15
(((((x mod ((x div 2) + 2)) div 2) + x) div (2 + 1)) + 1)
A330996: 1 1 2 2 2 2 3 3 4 4 4 5 5 6 6 7
(((((x mod ((x mod 2) + 2)) div 2) * x) div (2 + 1)) + 1)
A173441-A132068: 1 1 1 1 1 2 1 1 1 1 1 4 1 1 1 1
(((x * 2) - (((x div (2 + 2)) - x) * (2 + 1))) + 1)
A305408: 1 6 11 16 18 23 28 33 35 40 45 50 52 57 62 67
(x - (((((2 - (x div 2)) div 2) - x) div (2 + 1)) - 1))
A289036: 1 2 4 5 7 8 10 11 12 14 15 17 18 19 21 22
((((x div (2 - ((x div 2) mod 2))) * x) mod (2 + 1)) + 1)
A296976: 1 1 2 1 3 2 1 2 3 1 2 2 1 1 2 1
(((((x - 2) mod ((x mod 2) + 2)) + x) div (2 + 1)) + 1)
A123920: 1 2 1 2 2 2 3 4 3 4 4 4 5 6 5 6
((x div (2 + 1)) - (x div (((2 - x) div (2 + 1)) - 1)))
A073188: 0 1 2 3 3 4 4 5 5 6 6 6 7 7 7 8
(((((((2 + 2) + 1) * x) + 2) * x) * (2 + 1)) + 1)
A080861: 1 22 73 154 265 406 577 778 1009 1270 1561 1882 2233 2614 3025 3466
((((x * x) + 2) div (((x div 2) + x) + (2 + 1))) + 1)
A092982: 1 1 2 2 3 3 4 4 5 6 6 7 7 8 9 10
(((x * x) * x) mod ((((x mod 2) * x) div (2 + 1)) + 1))
A035464: 0 0 0 1 0 1 0 1 0 1 0 3 0 2 0 3
(((((x + 1) * 2) * (2 + 1)) - (x div (2 + 1))) - 1)
A187387: 5 11 17 22 28 34 39 45 51 56 62 68 73 79 85 90
((x + 2) div ((((2 + 2) * 2) - (x div (2 + 1))) + 1))
A302931: 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 4
(2 div (((((x mod 2) + 2) * 2) - (x div (2 + 1))) + 1))
A337563: 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 1
((((x * 2) - (x div (2 + 2))) + (x div (2 + 1))) + 1)
A097911: 1 3 5 8
A190280: 1 3 5 8 9 11 14 16 17 20 22 24 26 28 30 33
((x * x) div ((((x + 2) + 2) + (x div (2 + 1))) + 1))
A074239: 0 0 0 1 1 2 2 3 4 4 5 6 6 7 8 9
(((x - 2) div (((x div 2) + 2) - (x div (2 + 1)))) + 1)
A097429: 0 0 1 1 1 2 2 2 2 3 3 3 3 3 3 4
(((((x * 2) * 2) - (x div 2)) - (x div (2 + 1))) + 1)
A063247: 1 5 8 11 14 18 20 24 27 30 33 37 39 43 46 49
(((2 + 1) * x) mod (((x div 2) - (x div (2 + 1))) + 1))
A057556: 0 0 0 0 0 1 0 1 0 1 0 0 0 0 2 0
((((x + 1) mod (2 + 1)) - 1) * ((x div (2 + 1)) + 1))
A128615: 0 1 ~1 0 2 ~2 0 3 ~3 0 4 ~4 0 5 ~5 0
(((x div 2) - 1) mod ((x + 1) div ((x div (2 + 1)) + 1)))
A108736: 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0
((x - (((x div 2) + 1) div 2)) div ((x div (2 + 1)) + 1))
A305426: 0 1 1 1 1 2 1 1 2 1 1 2 1 2 2 1
(x - ((1 - ((2 + 2) * 2)) * ((x div (2 + 1)) + 1)))
A285468: 7 8 9 17 18 19 27 28 29 37 38 39 47 48 49 57
(((x + 1) div 2) - (2 - (2 div ((x div (2 + 1)) + 1))))
A035454: 0 1 1 1 1 2 1 2 2 3 3 4 4 5 5 6
(((x div ((2 + 2) * 2)) + x) + ((x div (2 + 1)) + 1))
A207672: 1 2 3 5 6 7 9 10 12 14 15 16 18 19 20 22
((x + 2) - ((2 - x) div (x - ((x div (2 + 1)) - 1))))
A092460: 0 3 4 6 7 8 9 10 11 12 13 14 16 17 18 19
((((x mod ((x div 2) + 1)) mod 2) - (x mod (2 + 1))) + 1)
A258940: 1 0 ~1 2 1 ~1 1 1 0 1 0 0 2 0 ~1 2
(((x div ((2 + 2) * 2)) + 1) div ((x mod (2 + 1)) + 1))
A025854: 1 0 0 1 0 0 1 0 0 2 1 0 2 1 0 2
(x div ((((x mod 2) + 2) + 2) * ((x mod (2 + 1)) + 1)))
A035649: 0 0 0 0 0 0 1 0 0 1 1 0 3 1 1 3
(((((x - 1) * x) div 2) + ((x * x) * (2 + 1))) + 1)
A140063: 1 4 14 31 55 86 124 169 221 280 346 419 499 586 680 781
((((x * 2) * (x + 1)) - ((x * x) div (2 + 1))) + 1)
A025740: 1 5 12 22 36 53 73 97 124 154 188 225 265 309 356 406
(((((x + 2) * (x + 1)) div 2) * ((x + 2) + 1)) - 1)
A117560: 2 11 29 59 104 167 251 359 494 659 857 1091 1364 1679 2039 2447
(((((x - 2) * (x - 2)) div 2) div ((x + 2) + 1)) + 1)
A029123: 1 1 1 1 1 1 1 2 2 3 3 3 4 4 5 5
(x - ((((1 - (x * 2)) * 2) div ((x + 2) + 1)) - 1))
A138591: 1 3 5 6 7 9 10 11 12 13 14 15 17 18 19 20
(x - (((((x * x) div 2) + 2) div ((x + 2) + 1)) - 1))
A274089-A196393-A020888: 1 2 3 3 4 5 5 6 6 7 7 8 9 9 10 10
(((((x * 2) div (2 + 1)) * x) div ((x + 2) + 1)) + 1)
A103563-A025769: 1 1 1 2 2 2 3 3 4 5 5 6 7 7 8 9
(((x div (((0 - 2) - 2) - 1)) mod ((x * 2) + 1)) + 1)
A186288: 1 3 5 7 9 11 12 14 16 18 20 21 23 25 27 29
(((((x + 1) * x) + (2 + 1)) * ((x * 2) + 1)) + 1)
A159940: 4 16 46 106 208 364 586 886 1276 1768 2374 3106 3976 4996 6178 7534
(((((2 + 2) * 2) * (x + 1)) * ((x * 2) + 1)) + 1)
A016838: 9 49 121 225 361 529 729 961 1225 1521 1849 2209 2601 3025 3481 3969
((((((x * 2) + 1) * 2) * 2) * ((x * 2) + 1)) - 1)
A001539: 3 35 99 195 323 483 675 899 1155 1443 1763 2115 2499 2915 3363 3843
(((x div (1 - ((2 + 2) * 2))) mod ((x * 2) + 1)) + 1)
A186328: 1 3 5 7 9 11 13 15 16 18 20 22 24 26 28 29
((((((x * 2) * 2) * 2) * 2) * ((x * 2) - 1)) + 1)
A081593: 1 17 97 241 449 721 1057 1457 1921 2449 3041 3697 4417 5201 6049 6961
((1 mod (((x * x) div (2 + 2)) - ((x * 2) - 1))) + 1)
A011633: 1 1 0 ~1 ~1 ~1 0 1 1
(x - ((((x mod 2) - (x * 2)) * ((x * 2) - 1)) - 1))
A308385: 1 3 15 29 61 87 139 177 249 299 391 453 565 639 771 857
(x - ((((1 - x) * (x * 2)) * ((x * 2) - 1)) - 1))
A271828: 1 2 15 64 173 366 667 1100 1689 2458 3431 4632 6085 7814 9843 12196
(((((x div 2) * x) * (x - 1)) div ((x div 2) + 1)) + 1)
A169762: 1 1 2 4 9 14 23
(x mod (((((x * 2) + 1) * 2) div ((x div 2) + 1)) + 1))
A190597: 0 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7
(((x - ((x div (0 - 2)) - 2)) * ((x div 2) + 1)) - 1)
A135370: 1 3 9 13 23 29 43 51 69 79 101 113 139 153 183 199
((1 - x) mod ((((2 - x) * 2) mod ((x div 2) + 1)) + 1))
A320751-A263764: 0 0 0 0 0 0 0 0 1 0 0 0 1 2 0 0
(((x - 1) div (((x div (2 + 2)) + (x mod 2)) + 1)) + 1)
A237354: 0 1 2 2 2 2 3 3 3 3 4 3 3 3 4 3
((x mod (x - ((x + 1) mod ((2 - (x mod 2)) + 1)))) + 1)
A241665: 1 1 1 1 1 1 2 1 1 1 3 1 2 1 1 1
(((((x mod 2) + 2) * 2) * (((x * x) div 2) + 1)) + 1)
A178648: 5 7 13 31
(((((x * x) + 1) div 2) * (((2 + 1) * x) + 1)) + 1)
A120825: 1 5 15 51
((2 + 1) div (((x * x) mod (((2 + 1) * x) - 1)) + 1))
A307766: 3 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0
(((x * x) div (((((2 + 2) * 2) * 2) + x) + 1)) + 1)
A025158: 1 1 1 1 1 2 2 3 3 4 4 5 5 6 7 8
(((((2 + 2) * 2) * 2) * (((x + 2) * x) + 1)) + 1)
A108211: 17 65 145 257 401 577 785 1025 1297 1601 1937 2305 2705 3137 3601 4097
(((((2 + 2) * 2) * 2) * (((x + 2) * x) + 1)) - 1)
A141759: 15 63 143 255 399 575 783 1023 1295 1599 1935 2303 2703 3135 3599 4095
((((((x - 1) * x) div (2 + 2)) - 1) mod (x + 1)) + 1)
A194762: 1 2 3 1 3 5 7 2 5 8 11 3 7 11 15 4
(((((2 + 1) * 2) + (2 div (x + 1))) * (x + 1)) + 1)
A058211: 9 15 19 25 31 37
(x - (x mod (0 - ((((2 + 1) * 2) mod (x + 1)) + 1))))
A067570: 0 1 2 3 4 5 7
A265566: 0 1 2 3 4 5 7 7 14 14 14 14 14 14 14 21
(((((((1 - x) * x) div 2) + 1) div 2) mod (x + 1)) + 1)
A194764: 1 1 1 4 3 2 1 7 5 3 1 10 7 4 1 13
(((((x mod ((2 + 2) + 1)) mod 2) * 2) mod (x + 1)) + 1)
A046111: 1 1 1 3 1 1 3 1 3 1 1 3 1 3 1 1
(((((((2 + 2) * 2) * 2) * 2) * 2) * (x + 1)) + 1)
A158071: 65 129 193 257 321 385 449 513 577 641 705 769 833 897 961 1025
(((((((2 + 2) * 2) * 2) * 2) * 2) * (x + 1)) - 1)
A044631: 63 127 191 255 319 383 447 511 575 639 703 767 831 895 959 1023
(((x - ((1 - ((2 + 2) * 2)) * 2)) * (x + 1)) - 1)
A243138: 13 29 47 67 89 113 139 167 197 229 263 299 337 377 419 463
((((2 - x) div (2 + 2)) + ((2 + 2) * (x + 1))) - 1)
A246170: 3 7 11 14 18 22 26 29 33 37 41 44 48 52 56 59
(((x - (x div (2 + 2))) + ((2 + 2) * (x + 1))) - 1)
A190505: 3 8 13 18 22 27 32 37 41 46 51 56 60 65 70 75
(x div (2 - ((1 - x) div (((2 + 2) mod (x + 1)) + 1))))
A331971: 0 0 0 0 1 1 2 1 2 2 2 2 2 2 2 3
((((((2 - x) + 1) * x) div (2 + 2)) mod (x + 1)) + 1)
A194744: 1 1 1 1 5 4 3 2 9 7 5 3 13 10 7 4
((2 - ((2 - ((x * x) div (2 + 2))) div (x + 1))) + 1)
A309407-A239308-A216256-A046693: 1 2 3 3 4 4 4 5 5 5 6 6 6 6 7 7
(((((((2 + 2) + 1) * x) + 2) * 2) * (x + 1)) + 1)
A087348: 5 29 73 137 221 325 449 593 757 941 1145 1369 1613 1877 2161 2465
(((0 - ((x * x) mod ((x + 2) + 2))) div (x + 1)) + 1)
A077052: 1 0 ~1 0 1 ~1 0 0 0 0 0 0 1 ~1 ~1 0
((x + 2) - ((((x div 2) * (x - 2)) div (x + 1)) - 1))
A225852: 3 4 5 6 7 7 8 9 9 10 10 11 11 12 12 13
(((x * x) * (x + 1)) mod (((x * 2) * (x + 1)) + 1))
A308215: 0 2 12 11 39 28 82 53 141 86 216 127 307 176 414 233
(((((((x + 2) * 2) + x) * x) + 2) * (x + 1)) - 1)
A130885: 1 17 65 163 329 581 937 1415 2033 2809 3761 4907 6265 7853 9689 11791
((((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1)) + 1)
A069173: 1 23 67 133 221 331 463 617 793 991 1211 1453 1717 2003 2311 2641
((((((x + 2) * 2) * (2 + 1)) + x) * (x + 1)) + 1)
A168235: 13 39 79 133 201 283 379 489 613 751 903 1069 1249 1443 1651 1873
(((((((2 + 2) + 1) * 2) * 2) - x) * (x + 1)) - 1)
A332884: 19 37 53 67 79 89 97 103 107 109 109 107 103 97 89 79
(((((x mod ((2 + 2) * 2)) + 2) * x) div (x + 1)) + 1)
A173528: 1 2 3 4 5 6 7 8 2 3 4 5 6 7 8 9
((((((x div (2 + 2)) + 2) + 2) * x) div (x + 1)) + 1)
A003860: 1 3 3 4 5
A072648: 1 3 3 4 5 5 5 5 6 6 6 6 7 7 7 7
((((x * 2) mod (((2 + 2) * 2) + x)) mod (x + 1)) + 1)
A033928: 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8
(((((2 - (x mod 2)) * (x + 2)) + x) * (x + 1)) - 1)
A154296: 3 7 29 31
(((x - ((1 - (x * 2)) * (2 + 1))) * (x - 1)) + 1)
A135704: 4 1 12 37 76 129 196 277 372 481 604 741 892 1057 1236 1429
(((x div 2) - ((x div ((2 + 2) + 1)) div (0 - 2))) + 1)
A050296: 1 1 2 2 3 4 5 5 6 6 7 7 8 8 9 10
(x - ((((x - (x div (2 + 2))) div 2) div (0 - 2)) - 1))
A184528: 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18 19
(((x + 1) * 2) - ((x div (2 + 1)) div ((0 - 2) - 1)))
A184978: 2 4 6 9 11
A285593: 2 4 6 9 11 13 15 17 19 21 23 25 28 30 32 34
((((x div (2 + 1)) + x) * 2) + (x div ((0 - 2) - 1)))
A222010: 0 1 3 7
A047357: 0 1 3 7 8 10 14 15 17 21 22 24 28 29 31 35
(x - ((x * x) div ((x + 2) - (x div ((0 - 2) - 1)))))
A172471: 0 1 2 2 2 3 3 3 4 4 4 4 4 5 5 5
((((x - 1) div (2 + 1)) - x) * (x div ((0 - 2) - 1)))
A088414: 0 1 2 3 6 8
A082667: 0 1 2 3 6 8 10 15 18 21 28 32 36 45 50 55
(((x + 1) mod (2 + 2)) div (2 - (x mod ((0 - 2) - 1))))
A288173: 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0
((((x div (2 + 1)) + x) * 2) - (x mod ((0 - 2) - 1)))
A047609: 0 4 5 8 12 13 16 20 21 24 28 29 32 36 37 40
(x - (((((x div 2) div (2 + 1)) + x) div (0 - 2)) - 1))
A225647: 1 3 4 6 7
A248521-A186539-A059555-A054385: 1 3 4 6 7 9 11 12 14 15 17 18 20 22 23 25
(x - (((((x * x) div (2 + 1)) + x) div (0 - 2)) - 1))
A186355: 1 3 5 7 10 13 16 20 24 28 33 38 43 49 55 61
(x - ((((x div ((2 + 2) * 2)) + x) div (0 - 2)) - 1))
A225647: 1 3 4 6 7
A292642-A249117-A140100-A093610: 1 3 4 6 7 9 10 12 14 15 17 18 20 21 23 24
((2 - ((((2 + 1) * 2) + 1) * (x div (0 - 2)))) + 1)
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((x + 2) mod (((x * 2) div (2 - (x div (0 - 2)))) + 1))
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((x div (2 + 1)) - ((x * 2) div ((x div (0 - 2)) - 1)))
A302778-A203967: 0 1 2 3 4 4 5 5 6 6 7 7 8 8 8 9
((((2 + 2) mod ((x div ((0 - 2) - 1)) - 1)) mod 2) + 1)
A232439-A036602: 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1
((((x * 2) mod ((x div ((0 - 2) - 1)) - 1)) mod 2) + 1)
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(((x mod ((x div ((x div (0 - 2)) - 1)) - 1)) mod 2) + 1)
A232740: 1 2 1 2 1 2 1 1 2 1 1 2 1 1 2 1
(((((x * x) div (((2 + 1) * 2) + 1)) + 1) div 2) + 1)
A062420: 1 1 1 2 2 3 4 5 6 7 8 10 11 13 15 17
(((((x * x) div (((2 + 2) * 2) + 1)) + 1) div 2) + 1)
A029049: 1 1 1 2 2 2 3 4 5 6 7 8 9 10 12 14
(((x mod (((x - 2) mod ((2 + 2) + 1)) + 1)) div 2) + 1)
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(((x mod (((x * 2) div ((2 + 2) + 1)) + 1)) div 2) + 1)
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(((x - (2 div ((x div ((2 + 2) + 1)) + 1))) mod 2) + 1)
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((((x div 2) mod ((x mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A063669: 1 1 1 1 2 1 1 1 1 3 1 1 1 2 2 1
((((x + 2) mod (((x + 1) div (2 + 1)) + 1)) * 2) + 1)
A110091: 1 1 1 3 1 3 5 1 5 7 1 7 9 1 9 11
(((x mod ((((0 - 2) - 2) * (2 + 1)) - 1)) mod 2) + 1)
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((((x + 1) mod (((2 + 2) * (2 + 1)) + 1)) * 2) + 1)
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(((x - (x mod (((2 + 2) * (2 + 1)) + 1))) div 2) + 1)
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(((x mod (((x div (2 + 2)) mod (2 + 1)) + 1)) mod 2) + 1)
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(((x div (((x mod (2 + 2)) * (2 + 1)) - 1)) mod 2) + 1)
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((((x * x) mod (((2 - x) * (2 + 1)) + 1)) mod 2) + 1)
A298475-A175096: 1 2 1 2 1 2 1 2 1 2 2 2 2 2 1 2
((((x * x) mod (((2 - x) div (2 + 1)) - 1)) mod 2) + 1)
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(((((2 - x) + 1) mod ((x div (2 + 1)) + 1)) mod 2) + 1)
A323172-A247462: 1 1 1 1 2 1 1 1 2 1 2 1 2 1 1 1
(((((x * x) - 1) mod ((x div (2 + 1)) + 1)) mod 2) + 1)
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(((((x + 1) * 2) mod ((x div (2 + 1)) + 1)) div 2) + 1)
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(((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2) + 1)
A344713: 1 1 1 2 1 2 1 2 2 2 1 2 1 2 2 2
((((((x * x) + 2) * ((x + 2) + 1)) - 1) * 2) - 1)
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(x - ((((x mod ((2 - (x mod 2)) + 1)) - 1) * 2) - 1))
A271830: 3 2 1 4 5 6 9 8 7 10 11 12 15 14 13 16
(((((((x + 2) + 2) * 2) * (x + 1)) + 1) * 2) + 1)
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((((x + 2) mod (((2 + 2) mod (x + 1)) + 1)) mod 2) + 1)
A214856: 1 1 1 1 2 1 2 1 1 2 1 2 1 1 2 1
(((x mod ((((x div 2) - 2) mod (x + 1)) + 1)) mod 2) + 1)
A205788: 1 1 1 2 1 1 1 2 1 1 1 2 1 2 1 2
((((((2 - x) * (x div 2)) mod (x + 1)) + 1) * 2) + 1)
A253358: 3 3 3 9 5 3
(((((((x * x) + 1) * x) * (x + 1)) - 1) * 2) - 1)
A155121: ~3 5 57 237 677 1557 3105 5597 9357 14757 22217 32205 45237 61877 82737 108477
((((x mod 2) - ((x div 2) div ((0 - 2) - 1))) div 2) + 1)
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(((x mod (1 - (x mod ((x div (0 - 2)) - 1)))) div 2) + 1)
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(((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) + 1)
A332648-A295679-A287216-A287214-A267383: 1 1 1 1 1 1 1 1 2 1 1 1 2 4 1 1
(((((x + 2) + 1) mod (((2 + 1) * 2) + 1)) mod 2) + 1)
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(x - ((((x + 1) div (((2 + 1) * 2) + 1)) * 2) - 1))
A099033: 1 2 3 4 5 6 5 6 7 8 9 10 11 10 11 12
((2 + 2) mod (((x div (((2 + 1) * 2) + 1)) * 2) + 1))
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((((x * x) mod (((x div (2 + 1)) * 2) - 1)) div 2) + 1)
A334549-A333901-A325825-A219208-A208673-A208615-A165661-A119329-A107711-A065372: 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1
(x mod ((((x mod ((x mod (2 + 1)) + 2)) - 1) * 2) - 1))
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((((x - 2) mod ((((x div 2) + 1) div 2) + 1)) div 2) + 1)
A217710: 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2
(((((x * x) * 2) mod (((x + 1) div 2) + 1)) mod 2) + 1)
A239702-A156054: 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 1
((((x - 1) mod ((((x + 1) div 2) div 2) + 1)) div 2) + 1)
A011793: 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 3
(((x mod ((x mod (1 - ((2 + 2) * 2))) - 1)) mod 2) + 1)
A344770-A337323-A331177-A247371-A173751-A126864: 1 1 1 1 1 2 1 1 1 2 1 2 1 2 1 1
(((((x + 2) + 2) mod (((2 + 2) * 2) + 1)) mod 2) + 1)
A133083-A020903: 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 2
((((1 - (x * 2)) div (((2 + 2) * 2) + 1)) mod 2) + 1)
A143544: 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1
((((((x + 1) * x) + ((2 + 2) * 2)) + 1) * 2) + 1)
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(((x - (((2 - x) div ((2 + 2) * 2)) - 1)) * 2) + 1)
A100933: 3 5 7 11 13 15 17 19 21 23 25 29 31 33 35 37
(((((((x + 1) * x) + (2 + 2)) * 2) + 1) * 2) + 1)
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(((((x - ((2 - x) div (2 + 2))) * 2) + 1) * 2) + 1)
A134442: 3 7 11 19 23 27 31 39 43 47 51 59 63 67 71 79
(((((x - ((2 - x) div (2 + 2))) div 2) + 1) div 2) + 1)
A047743: 1 1 2 2 2 3 3 3 4 4 4 5 5 5 5 6
(((x mod ((x mod ((x div (2 + 2)) + 2)) + 1)) div 2) + 1)
A330749-A174435: 1 1 1 1 1 2 1 1 1 1 1 2 1 1 3 1
((((2 - x) mod (((x div (2 + 2)) * 2) - 1)) div 2) + 1)
A304717-A304382: 1 1 1 1 1 1 1 1 1 2 1 1 1 3 2 2
((((x + 1) div (((x div (2 + 2)) mod 2) + 1)) mod 2) + 1)
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((((x * 2) div (((x mod (2 + 2)) * 2) + 1)) mod 2) + 1)
A250068: 1 1 1 1 1 2 1 1 1 1 1 2 1 1 2 1
((((x div 2) div (((x mod (2 + 2)) * 2) - 1)) mod 2) + 1)
A344318: 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 2
(((((((x * 2) - (x mod 2)) + 2) * 2) + 1) * 2) + 1)
A214863: 11 15 27 31 43 47 59 63 75 79 91 95 107 111 123 127
((x div ((x div ((((x mod 2) + 2) + 2) + 1)) + 2)) + 1)
A084320: 1 1 2 2 3 3 3 3 3 4 3 4 4 4 4 4
(((((x * 2) - ((x + 1) mod (2 + 2))) + 1) * 2) + 1)
A103192-A103127: 1 3 5 15 17 19 21 31 33 35 37 47 49 51 53 63
((x div 2) div (((((x + 1) mod (2 + 2)) + 1) * 2) + 1))
A282380: 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 2
(x - (((((x * 2) - 1) div ((2 + 2) + 1)) * 2) + 1))
A194509: 1 0 1 0 1 2 1 2 1 2 3 2 3 2 3 4
(1 div (((((x * 2) - 1) mod ((2 + 2) + 1)) * 2) - 1))
A092202: 0 1 0 ~1 0 0 1 0 ~1 0 0 1 0 ~1 0 0
((((((x * x) * 2) - 1) mod ((2 + 2) + 1)) * 2) + 1)
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(((((x * 2) * (x + 1)) div ((2 + 2) + 1)) * 2) + 1)
A211434: 1 1 5 9 17 25 33 45 57 73 89 105 125 145 169 193
(((x - ((x div (0 - 2)) * ((2 + 2) + 1))) * 2) + 1)
A113801: 1 13 15 27 29 41 43 55 57 69 71 83 85 97 99 111
(((x - (((x - 1) div 2) div ((2 + 2) + 1))) mod 2) + 1)
A052005: 2 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1
(x - (((((1 - x) * 2) div ((2 + 2) + 1)) * 2) - 1))
A286905: 1 2 5 6 9 10 11 14 15 18 19 20 23 24 27 28
((2 + 2) mod ((((x + 2) div ((2 + 2) + 1)) * 2) - 1))
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(((x div 2) mod (((x div 2) div ((2 + 2) + 1)) + 2)) + 1)
A112049: 1 1 2 2 1 1 2 2 1 1 3 3 1 1 2 2
(2 div ((((0 - x) - 1) mod (((2 + 2) + 1) * 2)) + 1))
A280843: 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0
(((((x + 1) * x) div 2) mod (((2 + 2) + 1) * 2)) + 1)
A061501: 1 2 4 7 1 6 2 9 7 6 6 7 9 2 6 1
((((x div (2 + 2)) + x) mod (((2 + 2) + 1) * 2)) + 1)
A131870-A071789: 1 2 3 4 6 7 8 9 1 2 3 4 6 7 8 9
(x - ((0 - 2) mod ((x mod (((2 + 2) + 1) * 2)) + 1)))
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((0 - x) mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1)))
A052036: 0 0 0 0 0 0 0 0 0 0 1 0 10 9 8 7
(x - (x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))))
A103303: 0 1 2 3 4 5 6 7 8 9
A265525: 0 1 2 3 4 5 6 7 8 9 0 11 11 11 11 11
((((x * x) * (x * x)) mod (((2 + 2) + 1) * 2)) + 1)
A088666: 1 2 7 2 7 6 7 2 7 2 1 2 7 2 7 6
(((1 - (((x mod 2) - x) div ((2 + 2) + 1))) * 2) + 1)
A130829: 3 3 5 5 5 5 7 7 7 7 7 7 9 9 9 9
((x - 1) mod ((x mod ((x div ((2 + 2) + 1)) + 2)) + 1))
A344987: 0 0 0 0 0 1 0 0 1 0 0 2 0 0 1 0
(2 div ((x + 2) div (((x div ((2 + 2) + 1)) * 2) + 1)))
A033182: 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1
(((((x + 2) * x) - (x div ((2 + 2) + 1))) div 2) + 1)
A054074: 1 2 5 8 13 18 24 32 40 50 60 71 84 97 112 127
(x - (((x mod (((1 - x) * (2 + 2)) + 1)) * 2) - 1))
A116728: 1 2 5 12 19 26 33 40 47 54 61 68 75 82 89 96
(((((x div 2) * x) div ((x div (2 + 2)) + 1)) mod 2) + 1)
A186713: 1 1 1 2 1 2 2 1 1 1 1 1 1 2 1 1
((x - 1) mod (((x mod ((x div (2 + 2)) + 1)) * 2) + 1))
A284270: 0 0 0 0 0 1 0 0 2 0 0 0 0 0 3 0
((((((x + 2) * x) + (x div (2 + 2))) + 1) div 2) + 1)
A054066: 1 3 5 9 14 19 26 33 42 52 62 74 87 100 115 130
(((((x * x) - 1) mod ((x mod (2 + 2)) + 1)) * 2) + 1)
A295554: 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1
(x mod (((x mod (x - ((x mod (2 + 2)) + 1))) div 2) + 1))
A324902-A318875-A215935: 0 0 0 0 0 1 0 0 0 1 0 2 0 1 0 0
(((x - ((x - 1) div (((x div 2) + 2) + 1))) * 2) - 1)
A122799: 1 1 3 5 7 9 11 11 13 15 17 19 21 23 25 27
(((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + 1)
A345926-A339887-A336570-A335449-A333175-A333145-A318369-A305150-A259936-A121382-A096825-A087802-A079553-A064372-A050320-A007875: 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2 1
((x + 1) div (((x div (((x mod 2) + 2) + 1)) + 2) + 1))
A033831: 0 0 1 1 1 1 1 2 1 2 1 2 1 2 2 2
(x - (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) - 1))
A096532: 1 2 2 3 4 4 5 6 6 6 6 7 8 8 9 10
(((((2 - (x div 2)) mod (x + 1)) mod (2 + 1)) div 2) + 1)
A078772: 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2
(((((x + 2) * 2) - ((x + 1) div (2 + 1))) * 2) - 1)
A103486: 7 11 13 17 21 23 27 31 33 37 41 43 47 51 53 57
(2 - (2 div ((x div (((x + 1) mod (2 + 1)) + 2)) + 1)))
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((x div (2 + 1)) div ((((x - 1) mod (2 + 1)) + 2) + 1))
A302301: 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1
(1 - ((x + 1) div ((((x - 1) mod (2 + 1)) + 2) + 1)))
A343188: 1 1 1 1 0 0 0 ~1 ~1 ~1 ~2 ~2 ~1 ~3 ~2 ~2
(x - (((x div ((x div (0 - 2)) - (2 + 1))) * 2) - 1))
A227763: 1 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20
(((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2) + 1)
A248774: 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 4
(x - ((((x mod ((2 + 2) * 2)) - (2 + 1)) * 2) - 1))
A004448: 7 6 5 4 3 2 1 0 15 14 13 12 11 10 9 8
((((x - ((x div 2) mod (2 + 2))) div (2 + 1)) + 2) + 1)
A236682: 3 3 3 3 3 4 4 4 5 6
((((x div ((2 - (x mod 2)) * 2)) * (2 + 1)) div 2) + 1)
A140839: 1 1 1 2 2 4
A241814: 1 1 1 2 2 4 2 5 4 7
(((((((x div 2) + 2) * x) div 2) mod (2 + 1)) div 2) + 1)
A220424: 1 1 1 1 2 1 1 2 1 1 2 2 1 1 1 1
(2 - (2 mod (((((2 - x) div 2) div (2 + 1)) * 2) - 1)))
A069577: 2 2 2 3 3 3 3 3 3 5 5 5 5 5 5 7
(x - ((((((x mod 2) - x) - 2) div (2 + 1)) * 2) - 1))
A284489: 3 4 7 8 9 10 13 14 17 18 19 20 23 24 27 28
(((x - ((((x mod 2) - x) - 2) div (2 + 1))) * 2) + 1)
A285141: 3 5 9 11 13 15 19 21 25 27 29 31 35 37 41 43
(((((x div (2 + 1)) + (x div 2)) mod (2 + 1)) mod 2) + 1)
A276947: 1 1 2 1 1 1 1 1 1 2 1 1 2 2 1 1
(((x mod (2 - ((1 - (x div 2)) div (2 + 1)))) div 2) + 1)
A090629: 1 1 1 1 1 2 1 1 2 1 2 2 1 1 2 2
(x - ((x div (((1 - (x div 2)) div (2 + 1)) - 2)) - 1))
A225647: 1 3 4 6 7
A164386: 1 3 4 6 7 8 9 11 12 13 14 15 16 18 19 20
((x div 2) - (x div ((((x div 2) div (2 + 1)) + 2) + 1)))
A116563: 0 0 1 0 1 1 2 2 2 2 3 3 4 4 5 4
(x - ((x div ((x mod (0 - 2)) - ((2 + 1) * 2))) - 1))
A304810-A304806-A026466: 1 3 4 5 6 7 8 9 11 12 13 14 15 16 18 19
(x - (((1 - x) div (2 + 1)) * (((2 + 1) * 2) + 1)))
A054967: 0 1 9 10 11 19 20 21 29 30 31 39 40 41 49 50
((((x - 1) * x) div (2 + 1)) div (((2 + 1) * 2) + 1))
A011874: 0 0 0 0 0 0 1 2 2 3 4 5 6 7 8 10
((((x + 2) * (x + 2)) - 1) * (((2 + 1) * 2) + 1))
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((x * 2) - (((x + 2) + 1) div (((2 + 1) * 2) + 1)))
A278039: 0 2 4 6 7 9 11 13 15 17 19 20 22 24 26 28
((x * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1)))
A083026: 0 2 4 5 7 9 11 12 14 16 17 19 21 23 24 26
(((((x * 2) - 1) * x) + 1) div (((2 + 1) * 2) + 1))
A194209: 0 0 1 2 4 6 9 13 17 22 27 33 39 46 54 62
(1 div ((((x - 1) * x) - 1) mod (((2 + 1) * 2) + 1)))
A288997-A221150: 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0
(1 mod ((((x - 1) * x) - 1) mod (((2 + 1) * 2) + 1)))
A230603: 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1
((((x - 2) * x) * (x - 1)) div (((2 + 1) * 2) + 1))
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((x * 2) - (((x + 1) * 2) div (((2 + 1) * 2) + 1)))
A083120: 0 2 4 5 7 9 10 12 14 16 17 19 21 22 24 26
((x * 2) - (((x - 1) * 2) div (((2 + 1) * 2) + 1)))
A184740: 1 2 4 6 8 9 11 13 14 16 18 20 21 23 25 26
((x - ((x div 2) mod (2 + 2))) mod (((2 + 1) * 2) + 1))
A326031: 0 1 1 2 2 3 3 4 1 2 2 3 3 4 4 5
((x * 2) - ((x - (2 + 2)) div (((2 + 1) * 2) + 1)))
A247357-A003144: 1 3 5 7 8 10 12 14 16 18 20 21 23 25 27 29
((x * 2) - (((x + 2) * 2) div (((2 + 1) * 2) + 1)))
A083027-A060107: 0 2 3 5 7 8 10 12 14 15 17 19 20 22 24 26
((((x - 2) * (x - 2)) div 2) div (((2 + 1) * 2) + 1))
A257594: 0 0 0 0 0 0 1 1 2 3 4 5 7 8 10
A034163-A034162-A034161-A034160-A034159-A034158-A034157-A034156-A034155-A034092: 0 0 0 0 0 0 1 1 2 3 4 5 7 8 10 12
((x * 2) - (((x - 2) * 2) div (((2 + 1) * 2) + 1)))
A184006-A003257: 1 3 4 6 8 10 11 13 15 16 18 20 22 23 25 27
(0 - ((x div ((x mod 2) - 2)) div (((2 + 1) * 2) + 1)))
A087942: 0 1 1 1 1 1 1 1 1 2 1 2 1 2 1 3
((x * 2) - (((2 - x) * 2) div (((2 + 1) * 2) + 1)))
A111495: 0 2 4 7 9 11 14 16 18 20 23 25 27 30 32 34
(1 mod ((((x - 2) * x) - 2) mod (((2 + 1) * 2) + 1)))
A129175: 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1
(x - ((((x mod 2) - x) * 2) * (((2 + 1) * 2) + 1)))
A267747: 0 1 30 31 60 61 90 91 120 121 150 151 180 181 210 211
(0 - (((x mod 2) - (x * 2)) div (((2 + 1) * 2) + 1)))
A195120: 0 1 1 1 2 2 2 2 3 3 3 3 4 4 4 5
(x - (((1 - x) * (x * 2)) * (((2 + 1) * 2) + 1)))
A254474: 0 1 30 87 172 285 426 595 792 1017 1270 1551 1860 2197 2562 2955
(x - ((((1 - x) * x) div 2) * (((2 + 1) * 2) + 1)))
A001106: 0 1 9 24 46 75 111 154 204 261 325 396 474 559 651 750
(x - ((((2 - x) * x) - 2) div (((2 + 1) * 2) + 1)))
A008739: 1 2 3 4 6 8 10 13 16 19 22 26 30 34 39 44
(((((2 + 1) * x) - 2) * x) * (((2 + 1) * 2) + 1))
A153797: 0 7 56 147 280 455 672 931 1232 1575 1960 2387 2856 3367 3920 4515
(((x div 2) div (2 + 1)) - (x div (((2 + 1) * 2) + 1)))
A308470-A011686-A005088: 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0
(((x div (2 + 2)) + (x * x)) div (((2 + 1) * 2) + 1))
A286283: 0 0 0 1 2 3 5 7 9 11 14 17 21 24 28 32
((((x * x) * x) * (x * x)) mod (((2 + 1) * 2) + 1))
A070593: 0 1 4 5 2 3 6 0 1 4 5 2 3 6 0 1
(1 - (((2 + 2) + 1) mod ((x mod ((2 + 1) * 2)) + 1)))
A291574: 1 0 ~1 0 1 ~4 1 0 ~1 0 1 ~4 1 0 ~1 0
((x * 2) - (1 - (2 div ((x mod ((2 + 1) * 2)) + 1))))
A263647: 1 2 3 5 7 9 13 14 15 17 19 21 25 26 27 29
((((((x div 2) div (2 + 1)) + x) * (2 + 1)) div 2) + 1)
A262978-A229303-A112886: 1 2 4 5 7 8 11 13 14 16 17 19 22 23 25 26
(((((1 - (x div (2 + 1))) * x) div (2 + 1)) mod 2) + 1)
A071292: 1 1 1 1 1 1 1 2 2 1 2 1 1 2 1 1
(((x - (((x div (2 + 1)) - x) div (2 + 1))) div 2) + 1)
A247911: 1 2 2 3 3 4 5 5 6 6 7 8 8 9 10 10
((x mod ((((x div (2 + 1)) - x) mod (2 + 1)) + 2)) + 1)
A007884: 1 2 3 1 1 2 3 2 1 2 3 3 1 2 3 4
(0 - ((x * 2) div ((((1 - x) div (2 + 1)) - 2) - 1)))
A214972-A023966: 0 1 1 2 2 2 3 3 3 3 4 4 4 4 4 4
(((((((x div 2) + 1) div 2) * x) div (2 + 1)) mod 2) + 1)
A195052: 1 1 1 2 2 2 1 1 2 1 1 2 1 2 1 1
(((((x div ((2 + 2) * 2)) + x) * (2 + 1)) div 2) + 1)
A229973-A007951: 1 2 4 5 7 8 10 11 14 16 17 19 20 22 23 25
(((((((2 + 1) * x) + 2) * x) * (2 + 1)) div 2) + 1)
A204467: 1 8 25 50 85 128 181 242 313 392 481 578 685 800 925 1058
(1 - (((1 - x) * 2) div (((x div (2 + 1)) + 2) + 1)))
A130148-A107436-A087843-A087836: 1 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5
((2 - x) mod (((1 - x) mod ((x div (2 + 1)) + 2)) + 1))
A292241: 0 0 0 1 0 0 0 1 0 2 0 0 0 0 0 0
((1 - x) mod (((x div 2) - ((x div (2 + 1)) mod 2)) + 1))
A047160: 0 0 1 0 1 0 3 2 3 0 1 0 3 2 3 0
((((x * 2) - (x mod 2)) + ((x div (2 + 1)) mod 2)) + 1)
A108118-A099477: 1 2 5 7 10 11 13 14 17 19 22 23 25 26 29 31
(((((x div 2) div (2 + 1)) - (x mod (2 + 1))) div 2) + 1)
A025849: 1 0 0 1 0 0 1 1 0 1 1 0 2 1 1 2
(((x mod (((2 - x) div 2) - (x mod (2 + 1)))) mod 2) + 1)
A003640: 1 1 1 1 1 2 1 2 1 2 1 2 2 2 1 1
(((((x * x) + (x mod 2)) + (x mod (2 + 1))) div 2) + 1)
A231408: 1 2 4 6 9
A090483: 1 2 4 6 9 15 19
((((x div 2) - (x mod 2)) + ((x mod (2 + 1)) div 2)) + 1)
A117572: 1 0 3 1 3 3 4 3 6 4 6 6 7 6 9 7
(((((x * x) * x) mod (((2 - x) * 2) + 1)) mod 2) + 1)
A102005: 1 2 1 1 1 1 2 1 2 1 2 1 2 1 1 1
(((((x * x) div (x - ((2 - x) div 2))) + 1) div 2) + 1)
A088676: 1 2 2 2 3 3 3 3 4 4 5 5 5 5 6 6
(((((x * x) div (2 + 2)) div ((x + 2) + 1)) + 2) + 1)
A210509: 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6
(((((x * x) * (x * x)) div ((x * 2) - 1)) mod 2) + 1)
A298231: 1 2 2 1 1 2 2 1 2 2 1 2 2 1 1 2
((((x * 2) mod (((x div 2) * (x div 2)) + 1)) mod 2) + 1)
A030561: 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1
((((x * 2) - ((x - 1) mod ((x div 2) + 1))) * 2) + 1)
A236204: 1 5 7 13 17 19 23 25 29 31 35 37 41 43 47 49
((((x - ((x div 2) mod 2)) * ((x div 2) + 1)) + 2) + 1)
A060728: 3 4 5 7 15
(((x - (((2 - x) + 2) div ((x div 2) + 1))) mod 2) + 1)
A143331: 1 1 2 2 1 1 2 1 2 1 2 2 1 2 1 2
(((2 - (x mod (2 + 2))) + (((x div 2) + 1) div 2)) + 1)
A262672: 3 2 2 1 4 3 3 2 5 4 4 3 6 5 5 4
(x - (x div ((((1 - x) mod ((x div 2) + 1)) + 2) + 1)))
A273662: 0 1 2 2 3 4 5 6 7 8 9 9 10 11 12 12
(x div ((((x - 2) mod ((2 - (x mod 2)) + 1)) + 2) + 1))
A230514: 0 0 0 0 0 1 1 1 2 2 2 2 3 3 4 3
((((x * 2) div (2 + 1)) mod (((x mod 2) + 1) * 2)) + 1)
A214684: 1 1 2 3 1 4 1 1 2 3 1 4 1 1 2 3
((x div (2 + 2)) div ((x mod (((x mod 2) + 1) * 2)) + 1))
A274576: 0 0 0 0 1 0 1 0 2 1 2 0 3 1 3 0
(((((x div (((x mod 2) + 2) + 2)) + x) + 1) div 2) + 1)
A278496: 1 2 2 3 4 4 5 5 6 6 7 8 9 9 10 10
(((((((x mod 2) + (x * 2)) * 2) + x) + 1) * 2) + 1)
A322490: 3 17 23 37 43 57 63 77 83 97 103 117 123 137 143 157
(((((2 - x) div ((2 + 2) + 1)) mod (x + 1)) mod 2) + 1)
A165413: 1 1 1 2 1 2 1 2 2 1 2 1 2 2 1 2
((x * 2) mod (((((x * x) div 2) mod (x + 1)) div 2) + 1))
A104515: 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 0
(((x mod (((x mod 2) - 2) - 1)) + ((x + 1) * 2)) + 1)
A059267: 3 4 6 8 9 12 15 16 18 20 21 24 27 28 30 32
((((x div 2) - (x mod (2 + 2))) + ((x + 1) * 2)) + 1)
A326422: 3 4 6 7 13 14 16 17 23 24 26 27 33 34 36 37
((((((x div 2) mod 2) - x) div 2) mod ((x + 1) * 2)) + 1)
A231407: 1 4 6
A205783: 1 4 6 8 9 10 12 14 15 16 18 20 21 22 24 26
((((x + 1) * 2) * (x + 1)) * (((x + 1) * 2) + 1))
A089207: 6 40 126 288 550 936 1470 2176 3078 4200 5566 7200 9126 11368 13950 16896
(((x mod ((0 - 2) - 1)) * 2) mod (((x + 1) * 2) + 1))
A147666: 0 1 5 0 7 11 0 13 17 0 19 23 0 25 29 0
(((((x * 2) + 1) * 2) * 2) * (((x + 1) * 2) + 1))
A158443: 12 60 140 252 396 572 780 1020 1292 1596 1932 2300 2700 3132 3596 4092
(x - ((((1 - x) * x) - 2) div (((x + 1) * 2) + 1)))
A078607: 1 2 3 4 6 7 9 10 12 13 14 16 17 19 20 22
((x + 2) - (((2 - x) * x) div (((x + 1) * 2) + 1)))
A230748: 2 3 4 6 7 9 10 12 13 14 16 17 19 20 22 23
(((x + 1) * 2) - ((x * x) div (((x + 1) * 2) + 1)))
A186151: 2 4 6 7 9 11 12 14 15 17 18 20 21 23 24 26
((x - (((x div (0 - 2)) - 1) * ((x + 1) div 2))) + 1)
A217571: 1 4 5 10 11 18 19 28 29 40 41 54 55 70 71 88
((((((x div (0 - 2)) mod 2) + x) * (x + 1)) div 2) + 1)
A093329: 1 3 5 7 11 19
(((x - ((((x div 2) - 2) * x) div (x + 1))) div 2) + 1)
A082429-A047744: 1 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6
((((((((x * x) * x) + 2) * x) * x) + 1) div 2) + 1)
A125701: 1 3 21 132
(((((((2 + 2) * 2) * 2) + (x * x)) - 1) * 2) - 1)
A007641: 29 31 37 47 61 79 101 127 157 191 229 271 317 367 421 479
(((x - ((x div ((2 + 2) + 1)) div (0 - 2))) * 2) + 1)
A204454-A029740: 1 3 5 7 9 13 15 17 19 21 23 25 27 29 31 35
(((((x * 2) mod ((x div 2) + 2)) div (0 - 2)) mod 2) + 1)
A014709: 1 1 2 1 1 2 2 1 1 1 2 2 1 2 2 1
(((x + 1) * 2) - ((x * 2) div (((0 - 2) - 2) - 1)))
A081032: 2 5 7 10 12 14 17 19 22 24 26 29 31 34 36 38
((x + 1) mod ((x mod (2 - (x div ((0 - 2) - 2)))) + 1))
A144193: 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0
(1 - (2 mod (1 - (x mod ((x mod ((0 - 2) - 2)) - 1)))))
A071935: 1 ~1 1 1 1 ~1 1 1 1 ~1 ~1 1 1 ~1 1 1
(x - (((((x div (2 + 2)) + x) div (0 - 2)) * 2) - 1))
A050140: 1 4 5 8 11 12 15 16 19 22 23 26 29 30 33 34
(((x - (((x div (2 + 2)) + x) div (0 - 2))) * 2) + 1)
A075317: 1 5 7 11 15 17 21 23 27 31 33 37 41 43 47 49
(((x - ((x - 2) mod (2 - (x div (0 - 2))))) mod 2) + 1)
A030615: 1 2 1 1 1 1 1 1 1 2 2 1 1 2 2 1
(((((x * x) * 2) mod (2 - (x div (0 - 2)))) mod 2) + 1)
A289944-A239550: 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1
(((x + 1) mod (1 - (x div ((x div (0 - 2)) - 2)))) + 1)
A220694-A121997: 1 1 2 1 2 1 2 3 1 2 3 1 2 3 1 2
((x * x) mod (1 - (x div (((x mod (0 - 2)) * 2) - 1))))
A213003: 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3
((((x - (x mod ((x div (2 + 1)) + 1))) div 2) + 2) + 1)
A119661: 3 3 4 4 5 5 6 6 6 7 7 7 8 8 8 9
(((((x * 2) mod ((x div (0 - 2)) - 1)) mod 2) * 2) + 1)
A110268: 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1
(((x div ((x mod (((2 + 1) * 2) + 1)) + 2)) mod 2) + 1)
A113121: 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2
((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) + 1)
A180683: 1 1 1 1 1 1 1 3 1 1 1 3 3 1 1 1
((((x mod (((x div (2 + 2)) * 2) - 1)) div 2) mod 2) + 1)
A123245-A110535: 1 1 1 1 1 1 1 1 2 1 1 2 2 2 1 1
(x div (((((x div 2) mod ((2 + 2) + 1)) + 2) + 2) + 1))
A008857: 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2
(((x - (((x div 2) mod ((2 + 2) + 1)) mod 2)) div 2) + 1)
A157943: 1 1 1 2 3 3 3 4 5 5 6 6 6 7 8 8
(((x * x) * x) mod (((((2 + 2) + 1) * 2) * 2) + 1))
A070483: 0 1 8 6 1 20 6 7 8 15 13 8 6 13 14 15
((x div 2) mod ((((x mod ((2 + 2) + 1)) mod 2) * 2) + 1))
A086077: 0 0 0 1 0 0 0 0 1 0 0 2 0 0 0 0
((((((1 - x) * x) mod ((2 + 2) + 1)) div 2) * 2) + 1)
A076824: 1 1 3 5 3 1 1 3 5 3 1 1 3 5 3 1
(((((x * x) mod (((x + 2) + 2) + 1)) div 2) mod 2) + 1)
A327521: 1 1 1 1 2 1 2 1 1 2 2 1 1 2 2 1
((((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) + 1)
A014710: 2 2 1 2 2 1 1 2 2 2 1 1 2 1 1 2
(((x mod ((x div (((x div 2) mod 2) + 1)) - 2)) div 2) + 1)
A185090: 1 1 1 1 1 2 1 1 2 2 1 2 2 2 3 1
((((2 mod ((x mod ((x mod 2) + 2)) + 1)) * 2) * 2) + 1)
A087966: 1 1 1 1 1 9 1 1 1 1 1 9 1 1 1 1
((((x - (x mod (((x mod 2) - 2) - 1))) div 2) div 2) + 1)
A316626: 1 1 1 2 2 2 2 3 3 3 4 4 4 4 4 5
(((x * 2) div ((((x div 2) div (2 + 1)) + 2) + 2)) + 1)
A196169: 1 1 2 2 3 3 3 3 4 4 5 5 5 5 5 6
((x div ((2 - (((x div 2) mod (2 + 1)) div 2)) + 2)) + 1)
A175387: 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4
((((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) * 2) + 1)
A342671: 1 3 1 1 1 3 1 3 1 3 1 1 1 3 1 1
(((((x div (0 - 2)) * (x div (2 + 1))) div 2) mod 2) + 1)
A092984: 1 1 1 2 2 1 2 1 1 1 1 2 1 1 1 1
(((x - (((x div 2) - (x div (2 + 1))) div 2)) mod 2) + 1)
A106703: 1 2 1 2 1 2 1 2 2 2 2 1 2 1 2 1
(((x - ((x mod 2) - ((x div (2 + 1)) mod 2))) * 2) + 1)
A249916: 1 1 5 7 11 11 13 13 17 19 23 23 25 25 29 31
((((1 - (x div 2)) div ((x mod (2 + 1)) + 2)) mod 2) + 1)
A239660: 1 1 1 1 2 2 2 2 2 1 1 2 2 1 1 2
(((x + 2) + 1) div ((((x mod (2 + 1)) div 2) + 2) + 1))
A110534: 1 1 1 2 2 2 3 3 2 4 4 3 5 5 4 6
((((((x - 2) * 2) mod ((x div 2) + 1)) mod 2) * 2) + 1)
A031178: 1 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1
(x div ((x + 2) div (((((x div 2) + 1) div 2) div 2) + 1)))
A033108: 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 3
((x mod ((((x * x) mod ((x div 2) + 1)) div 2) + 2)) + 1)
A235431: 1 2 1 2 1 2 1 2 1 2 3 2 1 2 3 2
(((x - (((((x div 2) mod 2) - x) - 1) * 2)) * 2) + 1)
A269819: 5 11 13 19 29 35 37 43 53 59 61 67 77 83 85 91
((x + 2) div ((((((x div 2) + x) + 1) div 2) div 2) + 1))
A269111: 2 3 2 2 3 2 2 3 2 2 2 2 2 2
(((((1 - (x div (2 + 1))) mod (x + 1)) div 2) mod 2) + 1)
A324381: 1 1 1 1 1 1 2 2 1 1 1 2 2 2 1 1
((((((x - (2 + 2)) * 2) mod (x + 1)) mod 2) * 2) + 1)
A063062: 1 1 1 1 1 1 1 1 1 1 3 1 3 1 3 1
((((((x div 2) + x) + 1) * ((x + 1) div 2)) + 2) + 1)
A247018: 3 5 7 13 17 27 33 47 55 73 83 105 117 143 157 187
((((((x div 2) + x) + 1) * ((x + 1) div 2)) div 2) + 1)
A319390: 1 2 3 6 8 13 16 23 27 36 41 52 58 71 78 93
(((x div ((2 + 2) * 2)) + (((x + 1) div 2) div 2)) + 1)
A064775: 1 1 1 2 2 2 2 3 4 4 4 5 5 5 5 6
((x mod ((2 + 2) + 1)) mod ((((x + 1) div 2) div 2) + 1))
A241914: 0 0 0 1 0 0 1 2 0 1 0 1 2 3 0 0
(((((((2 + 2) * 2) + x) * (x + 1)) + 2) * 2) + 1)
A154576: 21 41 65 93 125 161 201 245 293 345 401 461 525 593 665 741
((((x div ((0 - 2) - 1)) * ((x - 1) div 2)) mod 2) + 1)
A331048: 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 2
(x - (((((2 - x) * x) * ((x - 1) div 2)) div 2) - 1))
A065536: 1 2 3 6 9 21
((((x - (((2 - x) * x) * (x - 1))) * 2) * 2) + 1)
A243762: 1 5 9 37 113 261 505 869 1377 2053 2921 4005 5329 6917 8793 10981
(x - (((((x div 2) + x) div ((0 - 2) - 2)) * 2) - 1))
A287676: 1 4 5 6 9 10 13 14 15 18 19 20 23 24 27 28
((((x - 1) mod (2 - (x div ((0 - 2) - 2)))) div 2) + 1)
A282904: 1 1 1 2 1 1 1 2 2 2 3 1 1 1 1 2
(x - (((x * 2) div ((x div ((0 - 2) - 2)) - 2)) - 1))
A080036: 1 3 5 6 8 9 10 12 13 14 15 17 18 19 20 21
(((x + 2) - (x div ((x div ((0 - 2) - 2)) - 2))) + 1)
A308468-A136492-A062506: 3 5 6 7 9 10 11 12 13 14 15 17 18 19 20 21
(((((1 - x) mod (2 - (x div (0 - 2)))) mod 2) * 2) - 1)
A265643: 1 ~1 ~1 ~1 1 1 ~1 ~1 1 ~1 1 ~1 1 ~1 1 ~1
(x - ((((x + 1) mod ((x mod (0 - 2)) - 2)) * 2) + 1))
A133259: 1 2 3 6 5 4 7 8 9 12 11 10 13 14 15 18
(((((x div (((0 - 2) - 2) - 1)) mod 2) * 2) * 2) + 1)
A269268: 1 5 5 5 5 5 1 1 1 1 1 5 5 5 5 5
((((x * 2) mod ((x mod ((2 + 1) * 2)) + 2)) div 2) + 1)
A100428: 1 2 1 1 2 2 1 2 1 2 2 1 1 2 1 1
(((((x - 1) mod ((x div (2 + 1)) + 2)) div 2) div 2) + 1)
A316190-A227945-A207709-A161895: 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1
((((x mod 2) - (((x div (2 + 1)) mod 2) * 2)) * 2) + 1)
A132951: 1 3 1 ~1 ~3 ~1 1 3 1 ~1 ~3 ~1 1 3 1 ~1
(((x div 2) mod (((((x div 2) + 1) div 2) div 2) + 2)) + 1)
A073741: 1 1 2 2 1 1 1 1 2 2 3 3 1 1 4 4
(((((((x div (2 + 2)) * x) - 1) div 2) mod 2) * 2) - 1)
A011758: 1 1 1 1 1 ~1 ~1 1 1 ~1 1 ~1 1
(((((((2 - x) div 2) * (x + 1)) div 2) div 2) mod 2) + 1)
A087740: 1 1 1 2 1 2 1 1 2 1 2 2 2 2 2 1
((((((2 - (x div 2)) mod (x + 1)) div 2) div 2) * 2) + 1)
A162226: 1 1 1 1 1 1 3 3 3 5 5 5 5 5 5 5
(((x - (((x mod 2) - ((x + 1) * 2)) * 2)) * 2) - 1)
A067870: 7 13 27 33 47 53 67 73 87 93 107 113 127 133 147 153
(x - ((1 mod (1 - ((((x + 1) div 2) div 2) * 2))) - 1))
A173919: 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 22
compr(\x.((x div 2) mod 2),(((((x + 1) div 2) div 2) div 2) + 1))
A096300: 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 5
(2 div ((x + 2) div (((((x - 1) div 2) div 2) * 2) + 1)))
A076881: ~1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1
((((x - (((x div 2) div (0 - 2)) div 2)) div 2) + 2) + 1)
A274004: 3 3 4 5 5 6 6 7 7 8 9 9 10 10 11 11
(((x div ((((x div (2 + 1)) mod 2) + 2) + 2)) mod 2) + 1)
A034095: 1 1 1 1 1 2 2 2 1 2 1 1 2 2 2 2
(((x mod (1 - ((((x + 1) div 2) div 2) * 2))) mod 2) + 1)
A319608-A103765: 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 1
(((((x mod (1 - ((2 + 2) * 2))) mod 2) + 2) + 2) + 1)
A276860: 5 5 6 5 6 5 6 5 5 6 5 6 5 6 5 5
(((((((x * x) * (2 + 2)) * 2) * 2) * 2) * 2) + 1)
A158686: 1 65 257 577 1025 1601 2305 3137 4097 5185 6401 7745 9217 10817 12545 14401
((x * x) - ((((1 - ((2 + 2) * 2)) * 2) * 2) - 1))
A295749: 29 30 33
(((x * x) * x) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070495: 0 1 8 27 31 26 18 13 17 3 10 11 12 19 5 9
(((x - 1) * x) div (((((2 + 2) * 2) * 2) * 2) - 1))
A011884: 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 6
(((x * x) * x) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070493: 0 1 8 27 2 1 30 2 16 16 8 29 23 27 16 27
(((x - (2 div (x - (((2 + 2) * 2) * 2)))) + 2) + 1)
A181708: 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20
(((x + 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) + 1)
A274011-A076634: 1 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4
((((x mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2) + 1)
A202340-A060236: 1 2 1 1 2 2 1 2 1 1 2 1 1 2 2 1
((((x div 2) - (((x div (2 + 2)) mod 2) * 2)) * 2) + 1)
A090569: 1 1 3 3 1 1 3 3 9 9 11 11 9 9 11 11
(((x - (((x - (x div (2 + 2))) div 2) mod 2)) div 2) + 1)
A159481: 1 1 1 2 2 3 4 4 4 5 6 6 7 7 7 8
((x div ((((2 - (x mod (2 + 2))) + 2) + 2) * 2)) + 1)
A123584: 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 3
((((x - (x mod ((x mod (2 + 2)) + 2))) div 2) mod 2) + 1)
A204697: 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 2
(x - ((((x - (((x * 2) * 2) * 2)) * 2) * 2) - 1))
A248572: 1 30 59 88 117 146 175 204 233 262 291 320 349 378 407 436
((x * 2) div ((((((x div 2) mod 2) + 2) * 2) * 2) + 1))
A190353: 0 0 0 0 0 1 0 1 1 2 1 1 2 2 2 2
(((x div ((x mod (((x div 2) mod 2) + 2)) + 2)) mod 2) + 1)
A332292: 1 1 1 2 1 2 2 1 1 2 2 1 1 1 2 2
((x div 2) div ((((x + 1) mod ((2 + 2) * 2)) + 2) + 1))
A331293-A331292: 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2
((((x div 2) * x) + 2) div ((((2 + 2) * 2) * 2) + 1))
A194210: 0 0 0 0 0 0 1 1 2 2 3 3 4 4 5 6
((x + 1) div (2 - (x - ((((2 + 2) * 2) * 2) + 1))))
A049987: 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4
(((x * x) * (x * x)) mod ((((2 + 2) * 2) * 2) + 1))
A070534: 0 1 16 13 1 13 4 4 16 16 4 4 13 1 13 16
((((x - 1) * x) div 2) div ((((2 + 2) * 2) * 2) - 1))
A011883-A011882: 0 0 0 0 0 0 1 1 1 2 3 3 4 5 6 7
(((x * x) * (x * x)) mod ((((2 + 2) * 2) * 2) - 1))
A070533: 0 1 1 6 1 10 6 1 1 6 10 1 6 1 1 0
(((((x - (2 + 1)) * x) div ((2 + 2) * 2)) mod 2) + 1)
A074293: 1 2 2 1 1 2 1 2 2 1 1 2 2 1 2 1
((x + 1) div (((((1 - x) mod (2 + 2)) + 2) + 2) + 1))
A278341-A276520: 0 0 0 0 0 1 0 1 1 2 1 1 2 2 1 2
(((1 - (x div (((2 - x) div (2 + 2)) - 2))) * 2) + 1)
A131506: 3 5 5 5 7 7 7 7 7 9 9 9 9 9 9 9
(((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1)
A330754-A330753-A330746-A324369-A303759-A293810-A276781-A187279-A082068-A076820: 1 1 1 1 1 2 1 1 1 2 1 2 1 2 3 1
(((((0 - x) * 2) mod ((x div (2 + 2)) + 2)) div 2) + 1)
A156775: 1 1 1 1 1 2 1 1 1 2 1 2 1 3 2 1
(1 mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A303979-A094091: 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0
((1 - x) mod ((x div (((x mod (2 + 2)) + 2) + 2)) + 1))
A067432: 0 0 0 0 1 0 1 0 2 0 1 0 1 0 2 1
((((((x + 2) * x) - (x mod (2 + 2))) div 2) div 2) + 1)
A212988: 1 1 2 4 7 9 12 16 21 25 30 36 43 49 56 64
(x - ((((x - ((x * x) * (2 + 2))) * 2) * 2) - 1))
A143861: 1 14 59 136 245 386 559 764 1001 1270 1571 1904 2269 2666 3095 3556
((x * x) div (((((x * x) div (2 + 2)) + 2) + 2) + 1))
A086673: 0 0 0 1 1 2 2 2 3 3 3 3 3 3 3 3
(((x - ((x div (((1 - x) div 2) - 2)) - 2)) * 2) + 1)
A257292: 5 9 11 13 15 19 21 23 25 27 29 31 33 35 37 39
((((x - 2) * x) div ((((x + 2) + 2) + 2) * 2)) + 1)
A008671: 1 0 1 1 1 1 2 2 2 3 3 3 4 4 5 5
(((x - ((2 mod ((1 - (x * 2)) * 2)) * 2)) * 2) + 1)
A298035: 1 3 21 39 57 75 93 111 129 147 165 183 201 219 237 255
(((x - (1 mod ((1 - ((x * 2) * 2)) * 2))) * 2) + 1)
A063305: ~1 13 31 49 67 85 103 121 139 157 175 193 211 229 247 265
(x - ((((x mod 2) - (((x * 2) * 2) * 2)) * 2) - 1))
A161441: 1 16 35 50 69 84 103 118 137 152 171 186 205 220 239 254
((((((x * x) - 1) mod ((x div 2) + 2)) div 2) div 2) + 1)
A272917: 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 3
((((((x + 1) * 2) mod ((x div 2) + 2)) div 2) div 2) + 1)
A030421: 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 2
(x mod (((((x * 2) div ((x div 2) + 2)) + 2) * 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A241494: 0 1 2 3 4 5 6 7 8 9 1 0 1 2 3 4
((((((x * x) * 2) mod ((x div 2) + 2)) mod 2) + 2) + 1)
A115787: 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3
(((((x * 2) * 2) div (((x div 2) + 2) + 2)) * 2) + 1)
A177691: 1 3 3 5 5 7 7 9 9 9 9 9 9 11 11 11
(((x - (((1 - x) mod ((x div 2) + 2)) mod 2)) div 2) + 1)
A113512: 0 1 2 2 2 3 4 4 4 5 5 6 6 7 7 8
((((((x - 1) * x) mod ((x div 2) + 2)) mod 2) * 2) + 1)
A060268: 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3
((((((1 - x) * x) mod ((x div 2) + 2)) div 2) mod 2) + 1)
A046072-A034380: 1 1 1 1 1 1 1 2 1 1 1 2 1 1 2 2
((((x - ((x * x) mod ((x div 2) + 2))) div 2) mod 2) + 1)
A307614: 1 1 1 2 1 1 1 2 1 2 1 1 1 1 2 2
(((((x div (2 + 1)) - ((x div 2) mod 2)) div 2) div 2) + 1)
A081753: 1 1 0 1 1 1 1 1 1 1 1 1 2 2 1 2
(((((x + 1) div 2) mod (((x div 2) mod 2) + 2)) div 2) + 1)
A337473: 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 2
(2 div (((x + 1) mod ((((x div 2) mod 2) + 2) + 2)) + 1))
A097516: 1 0 0 0 1 0 0 0 1 0 1 0 1 0 2 1
(2 div (((1 - x) mod ((((x div 2) mod 2) + 2) * 2)) + 1))
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((((x mod (((2 - x) * (x div 2)) + 2)) div 2) mod 2) + 1)
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((x div ((((x + 1) mod ((x mod 2) + 2)) + 2) * 2)) + 1)
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(((x * 2) - (x div ((((x mod 2) + 2) * 2) * 2))) + 1)
A187907-A187232: 1 3 5 7 9 11 13 15 16 19 20 23 24 26 28 30
((x + 2) mod ((((x mod ((x mod 2) + 2)) * 2) * 2) - 1))
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(x - (((((x - ((x * x) * 2)) * 2) * 2) * 2) - 1))
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(((x - ((1 - (x div (2 + 1))) mod (2 + 2))) div 2) + 1)
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((x div 2) div ((x div (((x + 1) mod (2 + 2)) + 2)) + 1))
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(((((x * 2) - ((x div 2) mod 2)) mod (2 + 2)) * 2) + 1)
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(((x mod (((2 + 2) * 2) + 1)) mod ((2 + 2) * 2)) + 1)
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(x - ((((x + 2) * 2) div (1 - ((2 + 2) * 2))) - 1))
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(x - ((((x * 2) * 2) div (1 - ((2 + 2) * 2))) - 1))
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(((x * 2) - ((x + 2) div (1 - ((2 + 2) * 2)))) + 1)
A064997: 2 4 6 8 10 12 15 17 19 21 23 25 27 30 32 34
((x + 1) div ((2 - (x div (1 - ((2 + 2) * 2)))) + 1))
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((x * 2) - (2 mod ((x div (1 - ((2 + 2) * 2))) - 1)))
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((x * x) div (x - ((x div (1 - ((2 + 2) * 2))) - 1)))
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(x - ((((2 - x) - (x div 2)) div ((2 + 2) * 2)) - 1))
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((((2 + 2) * (x + 1)) - 1) mod (((2 + 2) * 2) + 1))
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(((x div (2 + 1)) * (x + 1)) div (((2 + 2) * 2) + 1))
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((1 - ((x * 2) * (x + 1))) mod (((2 + 2) * 2) + 1))
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((((x + 2) + 2) * (x - 1)) mod (((2 + 2) * 2) + 1))
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(1 - ((x mod 2) - ((x - 1) div (((2 + 2) * 2) + 1))))
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((((x - 2) * x) * (x - 1)) div (((2 + 2) * 2) + 1))
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(((((2 + 1) * x) + 2) * 2) * (((2 + 2) * 2) + 1))
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(((((x * 2) - 1) * x) * 2) * (((2 + 2) * 2) + 1))
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(1 mod ((((x + 2) * x) - 2) mod (((2 + 2) * 2) + 1)))
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(1 mod ((((x - 2) * x) - 2) mod (((2 + 2) * 2) + 1)))
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(((x * x) div (2 - (x mod 2))) mod (((2 + 2) * 2) + 1))
A168037: 0 1 2 0 8 7 0 4 5 0 5 4 0 7 8 0
((((x * x) * 2) + (x mod 2)) mod (((2 + 2) * 2) + 1))
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(x - ((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1)))
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(((((x mod 2) + 2) * 2) + x) div (((2 + 2) * 2) + 1))
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(((((2 + 1) * x) + 2) * x) mod (((2 + 2) * 2) + 1))
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(((((2 + 1) * x) - 2) * x) * (((2 + 2) * 2) + 1))
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((((x div 2) + 1) div 2) - (x div (((2 + 2) * 2) + 1)))
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((x - (x div (2 + 2))) - (x div (((2 + 2) * 2) + 1)))
A013928: 0 1 2 3 3 4 5 6 6 6 7 8 8 9 10 11
((x + 2) mod ((x + 2) - (x mod (((2 + 2) * 2) + 1))))
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(((((2 - x) * 2) - x) * x) mod (((2 + 2) * 2) + 1))
A111889: 0 1 5 3 4 8 6 7 2 0 1 5 3 4 8 6
((((x * x) * x) * (x * x)) mod (((2 + 2) * 2) + 1))
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(((x + 2) * x) mod (((1 - x) mod ((2 + 2) * 2)) + 1))
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((((x div 2) + (x * 2)) - (x div ((2 + 2) * 2))) + 1)
A190085: 1 3 6 8 11 13 16 18 20 22 25 27 30 32 35 37
((((x * 2) - (x mod 2)) + (x div ((2 + 2) * 2))) + 1)
A327220: 1 2 5 6 9 10 13 14 18 19 22 23 26 27 30 31
((((x + 1) div 2) div 2) div ((x div ((2 + 2) * 2)) + 1))
A147753: 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 2
((((((1 - x) mod (2 + 1)) + x) div (2 + 2)) mod 2) + 1)
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((((((x div (2 + 1)) - 2) * x) div (2 + 2)) mod 2) + 1)
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(1 - ((x * 2) div ((((2 - x) div (2 + 2)) - 2) - 1)))
A101776: 1 2 3 3 3 4 4 4 5 5 5 5 5 6 6 6
(2 - ((x * 2) div ((((2 - x) div (2 + 2)) - 2) - 1)))
A132913: 2 3 4 4 4 5 5 5 6 6 6 6 6 7 7 7
(x - (((0 - (((x + 2) * x) div (2 + 2))) div 2) - 1))
A186347: 1 2 4 6 8 10 13 16 19 22 26 30 34 38 43 48
((x - 2) mod (((((x mod 2) * x) div (2 + 2)) * 2) - 1))
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(((((x mod (2 + 1)) mod 2) + (x div (2 + 2))) div 2) + 1)
A019556-A008350: 1 1 1 1 2 1 1 2 2 2 2 2 2 3 2 2
(x mod (((((2 + 2) * 2) - (x div (2 + 2))) * 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A053832: 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4
(((((x mod 2) + x) - 1) div ((x div (2 + 2)) + 2)) + 1)
A241216-A125173-A064415: 0 1 1 2 2 2 2 3 2 3 3 3 3 3 3 4
(((1 - ((2 + 2) * 2)) mod ((x div (2 + 2)) + 2)) + 1)
A053384: 2 2 2 2 3 3 3 3 2 2 2 2 4 4 4 4
((((2 + 1) * x) + 1) div (((x div (2 + 2)) + 2) + 1))
A023964: 0 1 2 3 3 4 4 5 5 5 6 6 6 6 7 7
((2 + 2) - ((1 - x) div (((x div (2 + 2)) + 2) + 1)))
A080800: 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7
((x - 1) mod (((x * x) mod ((x div (2 + 2)) + 2)) + 1))
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((x div 2) mod (((x * x) mod ((x div (2 + 2)) + 2)) + 1))
A284508-A283316: 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0
(((2 + 1) * x) - (((x - (x div (2 + 2))) div 2) - 1))
A231407: 1 4 6
A066095-A003622: 1 4 6 9 12 14 17 19 22 25 27 30 33 35 38 40
(0 - (x div ((x div ((0 - (x mod (2 + 2))) - 2)) - 1)))
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((((((x div 2) + x) * 2) - (x mod (2 + 2))) + 2) + 1)
A112062: 3 4 7 8 15 16 19 20 27 28 31 32 39 40 43 44
(((((x div 2) + (x * 2)) - (x mod (2 + 2))) * 2) + 1)
A045797: 1 3 7 9 21 23 27 29 41 43 47 49 61 63 67 69
((((((((x * 2) * 2) - 1) * x) div 2) * 2) * 2) + 1)
A301858: 1 5 29 65
(((((x * x) div (x - ((2 - x) div 2))) mod 2) * 2) - 1)
A077008: ~1 1 ~1 ~1 1 1 ~1 ~1 1 ~1 1 1 ~1 ~1 1 ~1
(((((((x div 2) * (x + 2)) - x) div 2) div 2) div 2) + 1)
A008667: 1 0 1 1 2 2 3 3 5 5 7 7 10 10 13 14
(((x mod ((((2 - (x div 2)) * x) div 2) - 2)) mod 2) + 1)
A300983: 1 1 1 1 1 2 1 2 1 1 2 1 1 2 2 2
((((x div 2) * (x - 2)) div (((x + 2) + 2) + 2)) + 1)
A172033-A094994-A026839: 1 1 1 1 1 1 2 2 2 2 3 3 4 4 5 5
(x - (((x * x) - 1) div ((((x + 2) + 2) + 2) + 1)))
A130241: 1 1 2 3 3 3 4 4 4 4 5 5 5 5 5 5
(((((x + 1) * x) div 2) + (((x + 2) + 2) * 2)) + 1)
A166136: 9 12 16 21 27 34 42 51 61 72 84 97 111 126 142 159
(x - ((1 - (x * x)) div ((((x + 2) * 2) * 2) + 1)))
A099352: 0 1 3 4 5 6 8 9 10 11 13 14 15 16 17 19
(((((((x + 2) * 2) + x) * (x + 2)) div 2) div 2) - 1)
A184005: 1 4 9 15 23 32 43 55 69 84 101 119 139 160 183 207
(x - (((0 - (((x * x) * (x + 2)) div 2)) div 2) - 1))
A322108: 1 3 7 15 29 50 79 118 169 233 311 405 517 648 799 972
((((x div 2) * (x - 2)) + (((x * 2) * 2) * 2)) + 1)
A342434: 1 9 17 26 37 47
((((x - (((x mod 2) - x) * (x * 2))) * 2) * 2) + 1)
A276916: 1 5 41 61 145 181 313 365 545 613 841 925 1201 1301 1625 1741
((((((x * x) * 2) + 1) mod ((x div 2) + 2)) div 2) + 1)
A304041: 1 1 1 1 1 2 2 3 2 1
(((2 - x) mod (((x - 2) div ((x div 2) + 2)) + 2)) + 1)
A167970-A023132-A023124-A023120: 1 1 1 2 1 2 1 2 1 3 2 1 3 2 1 3
(1 - (x mod ((((x - 2) mod ((x div 2) + 2)) div 2) + 1)))
A336834: 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1
(2 - (x mod ((((x - 2) mod ((x div 2) + 2)) div 2) + 1)))
A098220: 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2
(((((1 - x) * (x * 2)) div ((x div 2) + 2)) mod 2) + 1)
A105224: 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2
(((((1 - x) * (x * 2)) mod ((x div 2) + 2)) mod 2) + 1)
A206491-A187447-A146292-A122172: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2
(1 - ((x * x) mod ((x mod (((x div 2) + 2) + 2)) + 1)))
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(x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1))
A322989: 0 0 0 0 0 1 0 0 0 1 0 2 0 1 2 0
(x mod (((((0 - x) * x) mod ((x div 2) + 2)) div 2) + 1))
A279210-A232243: 0 0 0 0 0 1 0 0 0 1 1 2 0 1 0 0
(((((1 - (x * x)) * x) div ((x div 2) + 2)) mod 2) + 1)
A307433-A245618-A178058-A166279-A077478-A047072: 1 1 1 1 2 1 1 1 1 1 1 2 2 2 1 1
(1 - (x mod (((x - 2) mod (((x div 2) mod 2) + 2)) + 1)))
A325414: 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0
((((((x * x) * (2 + 1)) + (x mod 2)) + 2) * 2) + 1)
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(((x - ((1 - x) div ((2 - (x mod 2)) + 2))) div 2) + 1)
A317686-A093878: 1 1 2 3 3 4 5 5 6 7 7 8 8 9 10 11
(((x + 2) div ((x div ((2 - (x mod 2)) * 2)) + 2)) - 1)
A286351: 0 0 1 0 1 0 1 0 1 0 2 0 1 0 2 0
(x div (x - (1 - (x mod ((((x mod 2) + 2) + 2) + 1)))))
A153638: 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0
(((((x + 2) * x) div 2) mod (((x mod 2) + 2) * 2)) + 1)
A225821-A055770-A053589: 1 2 1 2 1 6 1 2 1 2 1 6 1 2 1 2
((x + 1) div ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1))
A232098-A195155-A055874: 1 2 1 2 1 3 1 2 1 2 1 4 1 2 1 2
((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1))
A089196: 0 0 1 0 2 0 3 2 4 0 5 0 6 4 7 0
(1 div (2 - (x div (((x mod ((x mod 2) + 2)) * 2) - 1))))
A322796: 0 1 0 0 0 1 0 ~1 0 0 0 ~1 0 ~1 0 0
(x div ((2 + 2) - (x mod ((((x mod 2) - 2) * 2) - 1))))
A189684: 0 0 0 0 0 1 0 1 1 2 2 2 1 2 2 3
((x * 2) - (1 - (2 div (((x + 1) mod (2 + 2)) + 1))))
A222010: 0 1 3 7
A047530: 0 1 3 7 8 9 11 15 16 17 19 23 24 25 27 31
(x - (1 - (((x div (2 + 1)) + 1) * ((2 + 2) + 1))))
A047429: 4 5 6 12 13 14 20 21 22 28 29 30 36 37 38 44
(x - (2 - (((x div (2 + 1)) + 1) * ((2 + 2) + 1))))
A047598: 3 4 5 11 12 13 19 20 21 27 28 29 35 36 37 43
(x - ((x div (((2 + 1) * 2) + 1)) * ((2 + 2) + 1)))
A245342-A203580: 0 1 2 3 4 5 6 2 3 4 5 6 7 8 4 5
((((x - (x div (0 - 2))) * 2) + 1) * ((2 + 2) + 1))
A084967: 5 25 35 55 65 85 95 115 125 145 155 175 185 205 215 235
((x * x) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
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((((x * 2) + 1) * ((2 + 2) + 1)) * ((2 + 2) + 1))
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(x div ((((2 - x) mod (2 + 2)) + 1) * ((2 + 2) + 1)))
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((((((x div 2) + x) + 2) * 2) + 1) * ((2 + 2) + 1))
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((x * 2) - ((((x div 2) * 2) - 1) div ((2 + 2) + 1)))
A246705: 1 3 4 6 8 10 11 13 15 17 19 21 22 24 26 28
((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1))
A003151: 2 4 7 9 12 14 16 19 21 24 26 28 31 33 36 38
((x * x) mod (((2 + 2) * (2 + 1)) * ((2 + 2) + 1)))
A159852: 0 1 4 9 16 25 36 49 4 21 40 1 24 49 16 45
(((((x + 1) * x) div 2) * (2 + 1)) * ((2 + 2) + 1))
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(((((x + 2) * x) + 2) * (2 + 1)) div ((2 + 2) + 1))
A173106-A025723: 1 3 6 10 15 22 30 39 49 60 73 87 102 118 135 154
(x - ((((x mod 2) - x) * (2 + 1)) * ((2 + 2) + 1)))
A151983: 0 1 32 33 64 65 96 97 128 129 160 161 192 193 224 225
(x - (((((x mod 2) - x) * 2) - 1) div ((2 + 2) + 1)))
A187484: 1 2 3 4 6 7 9 10 12 13 15 16 17 18 20 21
(1 - (((x mod 2) - ((x div 2) - 1)) div ((2 + 2) + 1)))
A094916: 1 1 1 1 2 1 2 2 2 2 2 2 2 2 3 2
(((((x div 2) div (2 + 1)) + x) + 1) * ((2 + 2) + 1))
A067761: 5 10 15 20 25 30 40 45 50 55 60 65 75 80 85 90
(x - ((((x mod (2 + 1)) - x) - 1) div ((2 + 2) + 1)))
A113619: 1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 19
(((((2 + 2) * 2) * 2) * (x + 1)) div ((2 + 2) + 1))
A189783: 3 6 9 12 16 19 22 25 28 32 35 38 41 44 48 51
((((2 + 1) * x) + 2) - ((x + 1) div ((2 + 2) + 1)))
A292643: 2 5 8 11 13 16 19 22 25 27 30 33 36 39 41 44
((((2 + 2) + 1) * x) - ((x + 1) div ((2 + 2) + 1)))
A081839: 0 5 10 15 19 24 29 34 39 43 48 53 58 63 67 72
(((((x * x) * 2) + 1) * (x - 1)) mod ((2 + 2) + 1))
A152856: 4 0 4 3 4 4 0 4 3 4 4 0 4 3 4 4
(((x + 1) div (2 + 1)) - ((x - 1) div ((2 + 2) + 1)))
A165640: 1 0 1 1 1 2 1 1 2 2 2 2 2 2 3 3
(1 - (x - ((x - (x div (0 - 2))) * ((2 + 2) + 1))))
A168671: 1 10 14 23 27 36 40 49 53 62 66 75 79 88 92 101
(((x * x) * x) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A070711-A070492: 0 1 8 27 4 5 6 13 2 9 10 11 18 7 14 15
(((((2 + 1) * x) * (2 + 1)) + 2) * ((2 + 2) + 1))
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(x - ((((1 - x) div (2 + 1)) * 2) * ((2 + 2) + 1)))
A112655: 0 1 12 13 14 25 26 27 38 39 40 51 52 53 64 65
(1 div (((((x - 2) * x) - 1) div 2) mod ((2 + 2) + 1)))
A320926-A144597-A125117: 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0
(x - (((x div 2) - ((x + 1) * 2)) div ((2 + 2) + 1)))
A184480-A098572-A001955: 1 2 3 5 6 7 9 10 11 13 14 15 16 18 19 20
(((x * 2) * 2) - (((x + 1) * 2) div ((2 + 2) + 1)))
A198271: 0 4 7 11 14 18 22 25 29 32 36 40 43 47 50 54
((((x div (2 + 1)) * (x - 1)) div 2) div ((2 + 2) + 1))
A015742: 0 0 0 0 0 0 1 1 1 2 2 3 4 4 5 7
(((((x - 2) * x) * (x - 1)) div 2) div ((2 + 2) + 1))
A011892: 0 0 0 0 2 6 12 21 33 50 72 99 132 171 218 273
(2 - (x - ((((x * x) - 1) div 2) div ((2 + 2) + 1))))
A070178: 1 1 0 ~1 ~1 ~1 ~1 ~1 0 1 1
(x mod ((((x mod (2 + 1)) div 2) + 2) * ((2 + 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A139281: 0 1 2 3 4 5 6 7 8 9 0 11 2 3 14 5
((((((x div 2) + x) + 1) * 2) * 2) * ((2 + 2) + 1))
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(((x * x) * x) mod (((2 + 2) * 2) * ((2 + 2) + 1)))
A070721-A070502: 0 1 8 27 24 5 16 23 32 9 0 11 8 37 24 15
(1 - ((x - ((x * x) div (2 + 2))) div ((2 + 2) + 1)))
A094988: 1 1 1 1 1 2 2 2 3 4 4 5 6 7 8 10
((((((2 + 2) + 1) * x) + 2) * 2) * ((2 + 2) + 1))
A053741: 20 70 120 170 220 270 320 370 420 470 520 570 620 670 720 770
(1 mod (((((x + 2) * x) div 2) + 2) mod ((2 + 2) + 1)))
A285358: 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1
(((((x + 2) + 1) * (x + 2)) div 2) div ((2 + 2) + 1))
A067570: 0 1 2 3 4 5 7
A248421: 0 1 2 3 4 5 7 9 11 13 15 18 21 24 27 30
(x - ((x div 2) - (((x div 2) mod 2) * ((2 + 2) + 1))))
A197916: 0 1 6 7 2 3 8 9 4 5 10 11 6 7 12 13
((((((x + 2) + 2) + 1) * x) div 2) * ((2 + 2) + 1))
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(((((x div 2) * (2 + 1)) + x) + 2) * ((2 + 2) + 1))
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(((((x * x) * (2 + 1)) - x) div 2) * ((2 + 2) + 1))
A152734: 0 5 25 60 110 175 255 350 460 585 725 880 1050 1235 1435 1650
(x - (((((x div 2) mod 2) - x) - 2) div ((2 + 2) + 1)))
A183293: 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17 19
((x * 2) - ((x - ((2 - x) div 2)) div ((2 + 2) + 1)))
A292654-A136617-A083088: 1 2 4 6 7 9 11 12 14 16 18 19 21 23 24 26
(0 - ((((1 - (x div 2)) * x) div 2) div ((2 + 2) + 1)))
A145816: 0 0 0 0 1 1 2 2 3 3 4 5 6 7 9 9
(x - ((((2 - (x div 2)) * x) div 2) div ((2 + 2) + 1)))
A067570: 0 1 2 3 4 5 7
A213858: 0 1 2 3 4 5 7 8 10 11 13 15 17 19 21 23
((((2 + 2) * (2 + 1)) mod (x + 2)) div ((2 + 2) + 1))
A339166: 0 0 0 0 0 1 0 0 0 0 0 2 2 2 2 2
((2 + 2) div ((2 + 2) - ((x + 2) div ((2 + 2) + 1))))
A160675: 1 1 1 1 1 1 1 1 2 2 2 2 2 4 4 4
((((x - 1) mod (2 + 1)) + (x * 2)) div ((2 + 2) + 1))
A090702: 0 0 1 1 1 2 2 2 3 4 4 4 5 5 5 6
(1 - (((2 + 1) mod (1 - (x * 2))) * ((2 + 2) + 1)))
A123849: 1 1 1 11 21 31 41
((x + 2) - (((x div 2) - (x * 2)) * ((2 + 2) + 1)))
A168672: 2 13 19 30 36 47 53 64 70 81 87 98 104 115 121 132
((1 - x) - (((x mod 2) - (x * 2)) * ((2 + 2) + 1)))
A146509: 1 5 19 23 37 41 55 59 73 77 91 95 109 113 127 131
((((x + 1) div 2) div 2) - ((x div 2) div ((2 + 2) + 1)))
A280534: 0 0 0 1 1 1 1 2 2 2 1 2 2 2 2 3
(((((x * x) * x) * (x * x)) div 2) div ((2 + 2) + 1))
A342112: 0 0 3 24 102 312 777 1680 3276 5904 10000 16105 24883 37129 53782 75937
(x - ((((1 - (x * x)) * x) div 2) * ((2 + 2) + 1)))
A063522: 0 1 17 63 154 305 531 847 1268 1809 2485 3311 4302 5473 6839 8415
(x - ((((x + 1) mod (2 + 1)) - x) div ((2 + 2) + 1)))
A039180: 0 1 3 4 5 6 7 8 10 11 12 14 15 16 17 18
(((((2 + 2) * 2) * (2 + 1)) + x) * ((2 + 2) + 1))
A030501: 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195
((x * 2) - (((x div (2 + 1)) + x) div ((2 + 2) + 1)))
A198081: 0 2 4 6 7 9 11 13 14 16 18 20 21 23 25 26
((x + 2) - (((2 div (x + 1)) - x) div ((2 + 2) + 1)))
A184004: 2 3 5 6 7 8 10 11 12 13 14 16 17 18 19 20
(((((x * x) * (x * x)) - 1) * x) div ((2 + 2) + 1))
A208536: 0 0 6 48 204 624 1554 3360 6552 11808 19998 32208 49764 74256 107562 151872
(1 - (x - ((((x mod 2) * 2) + x) * ((2 + 2) + 1))))
A166523: 1 15 9 23 17 31 25 39 33 47 41 55 49 63 57 71
(x - ((((2 - x) - (x * 2)) * x) * ((2 + 2) + 1)))
A153786: 0 6 42 108 204 330 486 672 888 1134 1410 1716 2052 2418 2814 3240
(((x - ((2 - x) * (x * 2))) * x) + ((2 + 2) + 1))
A152064: 5 4 9 32 85 180 329 544 837 1220 1705 2304 3029 3892 4905 6080
(x - ((x * x) div (((x div 2) + x) + ((2 + 2) + 1))))
A177357: 0 1 2 2 3 3 4 4 5 5 5 6 6 6 7 7
(2 - ((x * 2) - (((x div 2) + x) * ((2 + 2) + 1))))
A168486: 2 5 13 16 24 27 35 38 46 49 57 60 68 71 79 82
(((x + 1) div ((2 + 2) + 1)) * (x div ((2 + 2) + 1)))
A008497: 0 0 0 0 0 1 1 1 1 2 4 4 4 4 6 9
((((x + 1) * 2) * (2 + 1)) + (x div ((2 + 2) + 1)))
A184523: 6 12 18 24 30 37 43 49 55 61 68 74 80 86 92 99
(((x mod ((2 + 2) + 1)) * 2) + (x div ((2 + 2) + 1)))
A004092: 0 2 4 6 8 1 3 5 7 9 2 4 6 8 10 3
(((2 - (x div 2)) div (x + 2)) + (x div ((2 + 2) + 1)))
A026798: 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 2
(((x div (2 + 1)) + (x div 2)) + (x div ((2 + 2) + 1)))
A106006: 0 0 1 2 3 4 6 6 7 8 10 10 12 12 13 15
(((x mod ((2 + 2) + 1)) + (x * x)) div ((2 + 2) + 1))
A211523: 0 0 1 2 4 5 7 10 13 17 20 24 29 34 40 45
((x * x) - (((x mod 2) - (x * x)) * ((2 + 2) + 1)))
A195158: 0 1 24 49 96 145 216 289 384 481 600 721 864 1009 1176 1345
(x - (((x mod (2 + 2)) - ((0 - x) mod (2 + 2))) - 1))
A263449: 1 4 3 2 5 8 7 6 9 12 11 10 13 16 15 14
((((2 - (x mod 2)) * 2) * ((0 - x) mod (2 + 2))) + 1)
A001903: 1 7 9 3 1 7 9 3 1 7 9 3 1 7 9 3
((((((x * x) * (x + 2)) - 1) * x) * (2 + 2)) - 1)
A057769: ~1 7 119 527 1519 3479 6887 12319 20447 32039 47959 69167 96719 131767 175559 229439
(x - (((((x div (2 + 1)) mod 2) - x) div (2 + 2)) - 1))
A304802: 1 3 4 5 6 7 9 10 11 12 14 15 16 18 19 20
(((((x * x) div ((2 + 2) * 2)) + x) div (2 + 2)) + 1)
A241951-A084630: 1 1 1 2 2 3 3 4 5 5 6 7 8 9 10 11
((((x div (((x div 2) + 2) + 2)) + x) mod (2 + 2)) + 1)
A309198: 1 2 3 4 1 2 3 1 2 3 4 1 2 3 4 1
(((((x mod ((x mod 2) + 2)) div 2) * x) div (2 + 2)) + 1)
A340827-A308608: 1 1 1 1 1 2 1 1 1 1 1 3 1 1 1 1
(((((x mod ((x mod 2) + 2)) div 2) * x) div (2 + 2)) - 1)
A082551: ~1 ~1 ~1 ~1 ~1 0 ~1 ~1 ~1 ~1 ~1 1 ~1 ~1 ~1 ~1
(x - (((((x div 2) mod (2 + 2)) - x) div (2 + 2)) - 1))
A039113: 1 3 4 5 6 7 8 9 11 13 14 15 16 17 18 19
(x - (((2 - ((x div (2 + 2)) + x)) div (2 + 2)) - 1))
A329990-A194375-A188222: 1 2 3 5 6 7 9 10 11 13 14 15 17 18 19 20
(1 - (((x + 1) * x) mod (((2 - x) div (2 + 2)) - 1)))
A258280-A152198: 1 1 1 1 1 1 1 2 1 1 2 1 1 3 3 1
(((2 + 1) * x) - ((((x div 2) + x) div (2 + 2)) - 1))
A007066: 1 4 7 9 12 15 17 20 22 25 28 30 33 36 38 41
(((x div ((x div (2 + 2)) + 1)) + (x div (2 + 2))) + 1)
A278814: 1 2 3 4 4 4 5 5 5 6 6 6 7 7 7 7
((x div (2 + 2)) - (x div (0 - ((x div (2 + 2)) + 1))))
A328179: 0 1 2 3 3 4 4 5 5 5 6 6 6 7 7 7
(((x + 2) mod ((2 + 2) + 1)) mod ((x div (2 + 2)) + 1))
A186336: 0 0 0 0 1 0 1 0 0 1 2 0 0 0 1 2
((((x div 2) + 1) * (x - 1)) mod ((x div (2 + 2)) + 1))
A107782: 0 0 0 0 1 0 0 0 2 1 0 0 1 0 0 0
((((x mod (2 + 2)) + 1) div 2) * ((x div (2 + 2)) + 1))
A029906: 0 1 1 2 0 2 2 4 0 3 3 6 0 4 4 8
(((((x mod 2) + x) + 1) * 2) mod ((x div (2 + 2)) + 1))
A111896: 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2
(x div ((((x + 2) + 2) + 2) div ((x div (2 + 2)) + 1)))
A230149: 0 0 0 0 0 1 1 1 2 1 2 2 3 3 2 3
((x - (x div (2 + 1))) - (2 mod ((x div (2 + 2)) + 1)))
A343228: 0 1 2 2 3 4 4 5 4 4 5 6 6 7 8 8
(((((x + 1) div 2) * x) div 2) mod ((x div (2 + 2)) + 1))
A011668: 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0
((((x * x) - 1) * (x + 2)) mod ((x div (2 + 2)) + 1))
A085858: 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0
((((((x div 2) + x) + 2) * 2) - (x mod (2 + 2))) + 1)
A285505: 5 6 9 10 17 18 21 22 29 30 33 34 41 42 45 46
(((((x + 1) * x) div 2) + ((x * x) * (2 + 2))) + 1)
A006137: 1 6 20 43 75 116 166 225 293 370 456 551 655 768 890 1021
(((((x - 1) * x) div 2) + ((x * x) * (2 + 2))) + 1)
A276819: 1 5 18 40 71 111 160 218 285 361 446 540 643 755 876 1006
((((x + 2) * (x + 1)) - ((x * x) div (2 + 2))) - 1)
A276382: 1 5 10 17 25 35 46 59 73 89 106 125 145 167 190 215
(((((((x * x) + (x mod 2)) - 1) * x) + 2) * 2) + 1)
A123195: 5 7 17 59
(x - ((x + 2) div ((x div (((1 - x) div 2) - 2)) - 1)))
A285598: 2 3 4 6 7 8 9 10 12 13 14 16 17 18 20 21
(x - ((((((x div 2) div (0 - 2)) - x) div 2) div 2) - 1))
A284679: 1 3 4 5 7 8 9 11 12 13 15 16 17 18 20 21
((((((1 - x) div ((x div 2) + 2)) * x) div 2) mod 2) + 1)
A317989-A106032-A003646: 1 1 2 1 1 2 2 2 1 2 1 2 1 2 1 2
((((((x mod (2 + 1)) * (x div 2)) + x) div 2) mod 2) + 1)
A232628: 1 1 1 2 2 1 2 2 1 1 2 1 1 2 1 2
(((((((x * 2) + 1) * (x div 2)) + x) div 2) * 2) + 1)
A211433: 1 1 7 11 23 27 45 53 77 85 115 127 163 175 217 233
(((((x * x) * 2) div (((x div 2) + x) + 2)) mod 2) + 1)
A246144: 1 1 2 2 1 2 1 1 2 1 2 2 1 1 2 1
(((((x * x) * x) div (((x mod 2) + x) + 2)) mod 2) + 1)
A092788: 1 1 1 1 1 2 2 1 2 1 2 2 2 2 2 2
((((((x div 2) + x) * (x - 1)) div (x + 2)) div 2) + 1)
A248186: 1 1 1 1 2 3 3 4 5 5 6 7 8 8 9 10
((((((x - 2) * x) * (x - 2)) div (x + 2)) mod 2) + 1)
A279044: 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 2
(((((((x div 2) + x) * x) + 2) div (x + 2)) div 2) + 1)
A168581-A024699: 1 1 2 2 3 3 4 5 5 6 7 7 8 9 10 10
(((((x div 2) + x) * (x - 1)) div ((x + 2) + 2)) + 1)
A068398: 1 1 1 2 3 4 5 6 8 9 10 11 13 14 16 17
((((((x * 2) * 2) - 1) * 2) div ((x + 2) + 2)) + 1)
A130233: 0 2 3 4 4 5 5 5 6 6 6 6 6 7 7 7
(x - ((((x - 1) * x) + 2) div (((x + 2) + 2) + 1)))
A332220-A286105-A122258: 0 1 2 2 3 3 4 4 4 4 4 4 5 5 5 5
(x - ((((x - 2) * x) - 2) div (((x + 2) + 2) + 1)))
A105195-A083398-A072649-A039836: 1 2 3 3 4 4 4 5 5 5 5 5 6 6 6 6
(((((x div 2) + x) * x) div 2) div (((x + 2) + 2) + 1))
A255572-A236863: 0 0 0 0 1 1 2 2 3 4 5 5 6 6 7 8
(((((x - 1) * x) + 2) * x) * (((x + 2) + 2) + 1))
A035289: 0 12 56 192 504 1100 2112 3696 6032 9324 13800 19712 27336 36972 48944 63600
(((((x * x) div (2 + 1)) - x) div ((x + 2) + 2)) + 1)
A112216-A008680: 1 0 0 1 1 1 1 1 2 2 2 2 3 3 3 4
(x - ((((x * x) - 1) div 2) div (((x + 2) * 2) + 1)))
A247973: 1 1 2 3 4 5 5 6 7 8 9 9 10 11 12 12
((((((2 mod (x + 1)) + 1) + x) * (x + 2)) * 2) + 1)
A230812: 5 13 41 61 85 113 145 181 221 265 313 365 421 481 545 613
(((((((x div 2) * x) mod 2) + x) * (x + 2)) div 2) + 1)
A031869: 1 2 5 11 13 18
(((x div 2) - ((((2 - x) * x) div (x + 2)) mod 2)) + 1)
A137661: 1 1 2 1 3 2 3 4 4 5 5 6 6 7 7 8
(x mod (((((x div 2) div (2 + 1)) * (x - 2)) div 2) - 1))
A246577: 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3
(((((x - 2) * x) div (2 + 2)) + ((x * 2) * 2)) + 1)
A035104: 1 4 9 13 19 24 31 37 45 52 61 69 79 88 99 109
((((2 + 2) * (x + 1)) + 1) * (((x * 2) * 2) + 1))
A003185: 5 45 117 221 357 525 725 957 1221 1517 1845 2205 2597 3021 3477 3965
((((x * 2) * 2) * (2 + 1)) * (((x * 2) * 2) + 1))
A068628: 0 60 216 468 816 1260 1800 2436 3168 3996 4920 5940 7056 8268 9576 10980
((((x * 2) + 1) * (x + 1)) * (((x * 2) * 2) + 1))
A100147-A079588: 1 30 135 364 765 1386 2275 3480 5049 7030 9471 12420 15925 20034 24795 30256
((((((x + 2) + 2) * (2 + 1)) - (x div 2)) * 2) - 1)
A344375-A153631: 23 29 33 39 43 49 53 59 63 69 73 79 83 89 93 99
(((x mod 2) - (((x div (2 + 1)) - (x div 2)) div 2)) + 1)
A329377: 1 2 2 2 2 3 2 3 2 3 2 3 2 3 3 3
(1 - (x mod ((((x div (2 + 1)) - (x div 2)) div 2) - 1)))
A334461-A321469-A266226: 1 1 1 1 1 2 1 2 1 2 1 2 1 2 2 2
((((((x div 2) div (2 + 1)) mod 2) + (x div 2)) div 2) + 1)
A156079: 1 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4
(x - (((((x div (2 + 2)) mod 2) - (x div 2)) div 2) - 1))
A039114: 1 2 4 5 6 7 8 9 11 12 14 15 16 17 18 19
(((x * 2) - (((x mod (2 + 2)) + (x div 2)) div 2)) + 1)
A047366: 1 3 4 5 8 10 11 12 15 17 18 19 22 24 25 26
((((((x * x) + 1) * (x + 2)) + (x div 2)) * 2) - 1)
A181863: 3 11 41 101
((((((x * x) div 2) mod (x + 2)) * (x div 2)) div 2) + 1)
A160791: 1 1 2 3 3 6 4 10 5 15 6 21 7 28 8 36
((x - ((((x div 2) - (x * 2)) * (x div 2)) - 2)) + 1)
A271723: 3 4 8 11 19 24 36 43 59 68 88 99 123 136 164 179
(((x - (((x div 2) - (x * 2)) * (x div 2))) * 2) + 1)
A186424: 1 3 11 17 33 43 67 81 113 131 171 193 241 267 323 353
((((x * x) div (2 - ((x div 2) * (x div 2)))) mod 2) + 1)
A172155: 1 1 1 2 1 2 1 2 2 1 2 1 2 2 2 2
((((x div ((x mod 2) + 1)) + 2) * ((x div 2) + 2)) + 1)
A055524: 5 5 13 10 25 17 41 26 61 37 85 50 113 65 145 82
((x * 2) mod (x - ((x - 1) mod (((x div 2) + 2) + 1))))
A293706: 0 0 0 0 0 0 0 0 0 2 2 4 4 6 6 8
((x + 2) - (((2 + 1) * x) div (((x div 2) + 2) + 1)))
A112672: 2 2 3 3 4 4 5 6 7 8 9 9 10 11 12 13
(((x + 2) mod ((2 + 1) * 2)) mod (((x div 2) * 2) + 1))
A332663: 0 0 1 2 0 1 2 3 4 5 0 1 2 3 4 5
((1 - (((x div 2) mod 2) * 2)) * (((x div 2) * 2) + 1))
A127630: 1 1 ~3 ~3 5 5 ~7 ~7 9 9 ~11 ~11 13 13 ~15 ~15
(x - ((x mod ((2 + 2) + 1)) mod (((x div 2) * 2) - 1)))
A265531: 0 1 2 3 3 5 5 5 5 5 10 10 10 10 10 15
((((x div ((2 + 2) * 2)) + 2) * ((x div 2) mod 2)) + 1)
A053386: 1 1 3 3 1 1 3 3 1 1 4 4 1 1 4 4
(((((x div 2) + x) div 2) + x) - (((x div 2) mod 2) - 1))
A047372: 1 2 3 5 8 9 10 12 15 16 17 19 22 23 24 26
((((x div (((2 + 1) * 2) + 1)) - (x mod 2)) div 2) + 1)
A008617: 1 0 1 0 1 0 1 1 1 1 1 1 1 1 2 1
(x - (((((x * 2) mod (2 + 1)) - (x mod 2)) div 2) - 1))
A131717: 1 2 3 5 4 6 7 8 9 11 10 12 13 14 15 17
((((((x mod (2 + 2)) * 2) * 2) - (x mod 2)) * 2) + 1)
A070416: 1 7 17 23 1 7 17 23 1 7 17 23 1 7 17 23
((x + 2) mod (((x div 2) mod ((2 - (x mod 2)) * 2)) + 1))
A144625: 0 0 0 1 0 0 0 1 0 0 0 1 2 0 0 1
(((((x div 2) * x) + (2 + 1)) * ((x mod 2) + 2)) - 1)
A046287: 5 8 9 17 21
((x div 2) div ((((x div 2) + 2) div ((x mod 2) + 2)) + 1))
A191004: 0 0 0 0 0 1 1 1 1 1 1 1 1 2 1 1
((x * x) mod ((2 - ((x div 2) mod ((x mod 2) + 2))) + 1))
A108737: 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1
(((((x div 2) + 2) + 2) + 1) div (((x mod 2) + 2) + 1))
A185317: 1 1 2 1 2 1 2 2 3 2 3 2 3 2 4 3
((x div (2 + 1)) mod (((2 - x) mod ((x mod 2) + 2)) + 1))
A083935: 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2
(x div (((x - 1) div 2) - (x mod (((x mod 2) - 2) - 1))))
A276949: 0 1 2 1 1 1 3 1 2 1 1 1 2 1 2 1
(((x mod (((2 + 2) + 1) * 2)) - ((x mod 2) * 2)) + 1)
A306436: 1 0 3 2 5 4 7 6 9 8 1 0 3 2 5 4
(2 - (((1 - x) mod (2 + 1)) * (((x mod 2) * 2) - 1)))
A140430: 3 2 4 1 2 0 3 2 4 1 2 0 3 2 4 1
(((((x + 2) * x) - 1) div 2) * (((x mod 2) * 2) - 1))
A188653: 1 1 ~3 7 ~11 17 ~23 31 ~39 49 ~59 71 ~83 97 ~111 127
((((x + 2) * (x + 1)) div 2) * (((x mod 2) * 2) - 1))
A089594: ~1 3 ~6 10 ~15 21 ~28 36 ~45 55 ~66 78 ~91 105 ~120 136
((((x + 1) mod (((2 + 1) * 2) + 1)) - 1) mod (2 + 1))
A284749: 0 1 2 0 1 2 2 0 1 2 0 1 2 2 0 1
(((((x * x) - 1) div ((2 + 2) + 1)) + 1) mod (2 + 1))
A207676: 0 1 1 2 1 2 2 1 1 2 2 1 2 1 1 0
((x - (x div ((x div ((2 + 2) + 1)) + 1))) div (2 + 1))
A224921: 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 4
(((0 - 2) mod ((x mod ((2 + 2) + 1)) + 1)) * (2 + 1))
A021275: 0 0 3 6 9 0 0 3 6 9 0 0 3 6 9 0
((((((2 + 1) * x) + 2) * (2 + 1)) - 1) * (2 + 1))
A154267: 15 42 69 96 123 150 177 204 231 258 285 312 339 366 393 420
((((((x + 1) * x) div 2) * (2 + 1)) + 1) * (2 + 1))
A164013: 3 12 30 57 93 138 192 255 327 408 498 597 705 822 948 1083
((x - ((x - 1) mod ((x div (2 + 1)) + 1))) div (2 + 1))
A077463: 0 0 0 1 1 1 1 2 2 3 3 3 3 3 3 4
((2 - (x div (((x div 2) div (0 - 2)) - 1))) div (2 + 1))
A340102-A322812-A320001: 0 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1
(x - (((((x + 1) div (2 + 1)) * 2) - 1) div (2 + 1)))
A050294: 1 2 2 3 4 4 5 6 7 8 9 9 10 11 11 12
((x mod ((((x + 2) div (2 + 1)) * 2) + 1)) div (2 + 1))
A164734: 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1
((x mod (((x + 1) mod ((2 + 1) * 2)) + 1)) div (2 + 1))
A179827: 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0
(((x + 1) div ((x mod ((2 + 1) * 2)) + 1)) mod (2 + 1))
A108393: 1 1 1 1 1 1 1 1 0 2 2 2 1 1 2 1
((((((x mod 2) + x) div (2 + 1)) * 2) + 1) div (2 + 1))
A093125: 0 0 0 1 1 1 1 1 1 2 2 3 3 3 3 3
((x - (x mod (((x mod (0 - 2)) - 2) - 1))) div (2 + 1))
A261221: 0 1 1 1 2 2 2 2 3 4 4 4 4 5 5 5
(x - (((((x div (2 + 1)) mod 2) * 2) - 1) * (2 + 1)))
A263824: 3 4 5 0 1 2 9 10 11 6 7 8 15 16 17 12
((((x * x) div (((2 + 2) * 2) * 2)) + 1) div (2 + 1))
A224710: 0 0 0 0 0 0 1 1 1 2 2 2 3 3 4 5
(((x * x) * x) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070489: 0 1 8 0 10 17 0 19 26 0 1 8 0 10 17 0
(((x - 1) mod (((x div (2 + 2)) + 2) + 1)) div (2 + 1))
A056979: 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0
(x - ((x - (((x div (2 + 2)) mod 2) - 1)) div (2 + 1)))
A005374: 0 1 1 2 3 4 4 5 5 6 7 7 8 9 10 10
(x - (x mod ((((x + 1) mod (2 + 2)) + 1) * (2 + 1))))
A161837: 0 0 0 3 0 0 0 6 6
(((((x div 2) + (x * 2)) mod (2 + 2)) + 1) mod (2 + 1))
A190248: 1 0 2 1 0 1 1 2 1 0 2 1 0 1 1 2
(((((x + 1) * x) + 1) * ((2 + 2) + 1)) div (2 + 1))
A298785: 1 5 11 21 35 51 71 95 121 151 185 221 261 305 351 401
(x div (x - (((x - 1) div ((2 + 2) + 1)) * (2 + 1))))
A001876: 0 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1
(x - ((((1 - x) * 2) div ((2 + 2) + 1)) * (2 + 1)))
A265188: 0 1 5 6 10 11 12 16 17 21 22 23 27 28 32 33
(((((x + 1) * x) div 2) * ((2 + 2) + 1)) div (2 + 1))
A194275: 0 1 5 10 16 25 35 46 60 75 91 110 130 151 175 200
(x - ((((x div 2) + x) div ((2 + 2) + 1)) * (2 + 1)))
A343638: 0 1 2 3 1 2 3 1 2 3 1 2 3 4 2 3
((((x * 2) * 2) div ((x div (2 + 2)) + 1)) mod (2 + 1))
A321101: 0 1 2 0 2 1 0 2 1 0 1 2 0 1 2 0
((x - ((x * x) div (((x + 2) + 2) + 1))) mod (2 + 1))
A230629: 0 1 2 2 0 0 0 0 1 1 1 1 1 1 1 1
(x - (((x * x) div (((x div 2) + 2) + 1)) div (2 + 1)))
A137687: 0 1 2 3 3 4 4 5 5 6 6 6 7 7 8 8
(x - ((x - (((x div 2) - 1) mod (2 + 1))) div (2 + 1)))
A323735: 1 2 2 2 3 4 5 6 6 6 7 8 9 10 10 10
(((x * x) * x) mod (((2 + 2) * (2 + 1)) * (2 + 1)))
A070498: 0 1 8 27 28 17 0 19 8 9 28 35 0 1 8 27
(x - ((x - (((x div 2) * x) mod (2 + 1))) div (2 + 1)))
A302405: 0 1 2 2 4 4 4 5 6 6 8 8 8 9 10 10
(((x mod ((2 + 2) + 1)) + (x div (2 + 1))) mod (2 + 1))
A137178: 0 1 2 1 2 1 0 1 2 1 0 1 0 1 2 2
(((x + 1) * 2) - ((1 - (x div (2 + 1))) div (2 + 1)))
A287122: 2 4 6 8 10 12 15 17 19 21 23 25 27 29 31 34
(((x + 1) * 2) - ((x - (x div (2 + 1))) div (2 + 1)))
A215000: 2 4 6 8 9 11 13 15 16 18 20 22 24 25 27 29
((((x div 2) mod (2 + 2)) + (x mod (2 + 1))) div (2 + 1))
A321694: 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1
(x - (((x - 2) - ((x * x) div (2 + 1))) div (2 + 1)))
A008740: 1 2 3 4 5 7 9 11 13 16 19 22 25 28 32 36
(1 - (((x mod 2) - ((x * x) div (2 + 1))) div (2 + 1)))
A055002: 1 1 2 2 3 4 5 6 8 10 12 14 17
((((x * 2) - (((x div 2) * x) mod 2)) + 1) div (2 + 1))
A135671: 0 1 1 2 3 3 4 4 5 6 7 7 8 9 9 10
(((((2 - x) div (2 + 1)) mod (x + 2)) + 1) div (2 + 1))
A284263: 0 0 0 1 2 2 2 2 3 3 3 3 3 4 4 4
(((((x + 2) * x) + 1) * ((x * 2) + 1)) div (2 + 1))
A212974: 0 4 15 37 75 132 212 320 459 633 847 1104 1408 1764 2175 2645
((((x * 2) * (x + 1)) * ((x * 2) + 1)) div (2 + 1))
A047810-A035007-A002492: 0 4 20 56 120 220 364 560 816 1140 1540 2024 2600 3276 4060 4960
(((((x * 2) + 1) * 2) * ((x * 2) + 1)) * (2 + 1))
A195901: 6 54 150
A260955: 6 54 150 294 486 726 1014 1350 1734 2166 2646 3174 3750 4374 5046 5766
(((((x + 1) * x) div 2) * ((x * 2) + 1)) * (2 + 1))
A220443: 0 9 45 126 270 495 819 1260 1836 2565 3465 4554 5850 7371 9135 11160
(((((x * 2) * 2) - 1) * ((x * 2) - 1)) div (2 + 1))
A320281: 0 1 7 18 35 57 84 117 155 198 247 301 360 425 495 570
(((((x mod 2) - 2) - 1) mod ((x * 2) - 1)) div (2 + 1))
A283993-A065855: 0 0 0 1 1 2 2 3 4 5 5 6 6 7 8 9
(x - ((((1 - x) * x) * ((x * 2) - 1)) div (2 + 1)))
A037235: 0 1 4 13 32 65 116 189 288 417 580 781 1024 1313 1652 2045
((((2 - x) + (2 + 1)) mod ((x div 2) + 1)) div (2 + 1))
A339169: 0 0 0 0 0 0 1 0 0 0 0 0 0 2 2 2
((((1 - x) * (x - 1)) mod ((x div 2) + 1)) div (2 + 1))
A308118: 0 0 0 0 0 0 1 0 0 0 1 0 1 1 2 1
(((0 - (x mod (2 + 2))) mod ((x div 2) + 1)) div (2 + 1))
A225518: 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 1
(((((x * x) * x) - 2) mod ((x div 2) + 1)) div (2 + 1))
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(((((2 - x) + 1) * x) mod ((x div 2) + 1)) div (2 + 1))
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(((x * x) div (x + 2)) - (((x div 2) - 1) div (2 + 1)))
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(1 - (((x div (2 + 1)) mod ((0 - x) - 1)) div (2 + 1)))
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((((((x mod (2 + 1)) mod 2) + 1) * x) + 1) div (2 + 1))
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(x - ((((x div ((2 + 2) + 1)) - x) - 1) div (2 + 1)))
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(x - (((((x div 2) mod (2 + 1)) - x) - 1) div (2 + 1)))
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((x * 2) - ((((x div (2 + 1)) - x) - 1) div (2 + 1)))
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(1 mod (2 div (x - ((((x - 1) * x) - 1) div (2 + 1)))))
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(((x - ((x div (0 - 2)) - 1)) * (x + 1)) div (2 + 1))
A337501: 0 2 4 8 11 18 23 32 39 50
(((((x + 2) * x) + (2 + 1)) * (x + 1)) * (2 + 1))
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(((((x + 2) * x) + (2 + 1)) * (x + 1)) div (2 + 1))
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(((((x + 2) * 2) * (x + 1)) * (x + 1)) div (2 + 1))
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(((((x + 2) * (x + 1)) div 2) * (x + 1)) * (2 + 1))
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((x div (((2 + 1) * 2) + 1)) + ((x + 1) * (2 + 1)))
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((x div (((2 + 2) * 2) + 1)) + ((x + 1) * (2 + 1)))
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(((x * 2) div ((2 + 2) + 1)) + ((x + 1) * (2 + 1)))
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(((x div 2) div ((2 + 2) + 1)) + ((x + 1) * (2 + 1)))
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((x div ((2 + 2) * (2 + 1))) + ((x + 1) * (2 + 1)))
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(((((x - 1) div 2) div 2) div 2) + ((x + 1) * (2 + 1)))
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((((x + 1) div 2) mod (2 + 1)) + ((x + 1) div (2 + 1)))
A334236: 0 1 2 3 3 2 2 3 4 5 5 4 4 5 6 7
((x - ((x * x) mod (2 + 1))) * ((x + 1) div (2 + 1)))
A213030: 0 0 1 3 3 8 12 12 21 27 27 40 48 48 65 75
((x div (((x div 2) + 2) + 2)) + ((x + 1) div (2 + 1)))
A189638: 0 0 1 1 1 2 2 3 4 4 4 5 5 5 6 6
((((x div (2 + 1)) + x) * 2) - ((x + 1) div (2 + 1)))
A047359: 0 2 3 7 9 10 14 16 17 21 23 24 28 30 31 35
(((((x * 2) * 2) + 1) * x) + ((x + 1) div (2 + 1)))
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(((((x * 2) * 2) - 1) * x) - ((x + 1) div (2 + 1)))
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(2 - ((1 - ((x mod 2) * 2)) * ((x + 1) mod (2 + 1))))
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((((((x * 2) * 2) - 1) * x) * (x + 1)) div (2 + 1))
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(((((x * x) * x) * (x - 1)) * (x - 1)) * (2 + 1))
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(((((x - 2) * x) div (2 + 2)) * (x - 1)) div (2 + 1))
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(((x * 2) div ((2 + 2) + 1)) - ((x - 1) div (2 + 1)))
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(((x - ((x div 2) mod 2)) div 2) - ((x - 1) div (2 + 1)))
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((((x div (2 + 1)) + x) * 2) - ((x - 1) div (2 + 1)))
A222011: 1 2 4 8
A233999-A047350: 1 2 4 8 9 11 15 16 18 22 23 25 29 30 32 36
((((2 + 2) * (x + 1)) + x) - ((x - 1) div (2 + 1)))
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((x * 2) - ((((2 - x) * x) * (x - 1)) div (2 + 1)))
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(x - (((((x - 1) div 2) div 2) * (0 - 2)) div (2 + 1)))
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((((x + 2) + 2) + 2) - (x div ((0 - 2) * (2 + 1))))
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(((x div 2) + 2) div (2 - (x div ((0 - 2) * (2 + 1)))))
A182595-A109036: 1 0 1 1 1 1 1 1 1 1 1 1 2 1 1 1
((x + 2) - ((((x + 2) * x) div (0 - 2)) * (2 + 1)))
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((((x * x) - 1) mod (2 - (x div (0 - 2)))) mod (2 + 1))
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(2 - (x - (((x * 2) - (x div (0 - 2))) * (2 + 1))))
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((((((x + 1) * 2) * (2 + 1)) - 1) * 2) * (2 + 1))
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((((((x * x) + 2) div (2 + 1)) + 1) * 2) * (2 + 1))
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((((((x + 1) * x) * (2 + 1)) + 1) * 2) * (2 + 1))
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(1 - ((x mod (((x div (2 + 1)) + 1) * 2)) div (2 + 1)))
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(2 - ((x mod (((x div (2 + 1)) + 1) * 2)) div (2 + 1)))
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((((0 - x) mod ((x div (2 + 1)) + 1)) * 2) * (2 + 1))
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((x + 2) - (((x div ((0 - 2) - 1)) - 2) div (2 + 1)))
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(x - (((x div (((2 + 1) * 2) + 1)) * 2) * (2 + 1)))
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((((x * 2) mod (((2 + 2) * 2) + 1)) div 2) mod (2 + 1))
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(((((x * x) div ((2 + 2) * 2)) + 1) * 2) div (2 + 1))
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A145813: 0 0 0 1 2 2 3 4 6 7 8 10 12 14 16 19
(x div ((((x - 1) mod ((2 + 2) + 1)) + 2) * (2 + 1)))
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((x mod (((x * 2) mod ((2 + 2) + 1)) + 2)) div (2 + 1))
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(((((((x div 2) + x) + 2) * 2) + 1) * 2) * (2 + 1))
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(((2 mod (x - (((x mod 2) + 2) + 1))) + 2) + (2 + 1))
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(x - ((((x div (2 + 1)) mod (2 + 1)) * 2) * (2 + 1)))
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(((x - (((x + 1) div 2) div (2 + 1))) * 2) div (2 + 1))
A289139: 0 0 1 2 2 2 3 4 4 5 6 6 6 7 8 8
(((x - (((x div 2) + 2) div (2 + 1))) * 2) div (2 + 1))
A194206: 0 0 0 1 2 2 3 4 4 4 5 6 6 7 7 8
(((x - (((x div 2) * 2) div (2 + 1))) * 2) div (2 + 1))
A194239: 0 0 1 2 2 2 2 3 4 4 4 5 5 6 6 7
(((x * x) * (x * x)) mod (((2 + 1) * 2) * (2 + 1)))
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(((((x * x) div 2) - (x div (2 + 1))) div 2) div (2 + 1))
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((x - (2 mod (1 - ((x div (2 + 1)) * 2)))) div (2 + 1))
A218446: 0 0 0 1 1 1 2 2 3 4 4 4 5 6 6 7
((((((x * x) div (2 + 1)) + x) + 1) * 2) * (2 + 1))
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(((((x div 2) div (0 - 2)) mod (x + 1)) div 2) + (2 + 1))
A134993: 3 3 4 4 5 5 5 6 6 7 7 7 8 8 8 9
(((((x + 2) * (x + 2)) * (x + 1)) div 2) * (2 + 1))
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(2 - ((((x div 2) mod 2) - ((x + 1) * 2)) div (2 + 1)))
A121500: 3 4 4 5 6 6 7 7 8 9 9 10 11 12 12 13
((((2 + 1) * x) + 2) - (((x + 1) div 2) div (2 + 1)))
A059560-A022842: 2 5 8 11 14 16 19 22 25 28 31 33 36 39 42 45
((((((x * x) + 2) * x) * (x + 1)) div 2) div (2 + 1))
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((((((x + 2) + 2) * x) * (x - 1)) div 2) div (2 + 1))
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((((((x * x) + 2) * x) * (x - 1)) div 2) div (2 + 1))
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(((x - ((x div ((2 + 2) + 1)) * 2)) * 2) div (2 + 1))
A194222: 0 0 1 2 2 2 2 3 4 4 4 4 5 6 6 6
((((x - (x div ((2 + 2) + 1))) + 2) * 2) div (2 + 1))
A269990: 1 2 2 3 4 4 4 5 6 6 6 7 8 8 9 9
(x mod ((1 - (((x div (2 + 1)) mod 2) * 2)) * (2 + 1)))
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((((((x + 2) * (x + 2)) + 1) * 2) * 2) * (2 + 1))
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((((((x - 2) * x) * (x - 1)) div 2) div 2) div (2 + 1))
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(((x + 2) - ((x mod ((0 - 2) - 2)) div 2)) div (2 + 1))
A334233: 0 1 1 2 2 3 3 3 3 4 4 4 4 5 5 6
(((((x - (x mod (2 + 1))) div 2) div 2) * 2) * (2 + 1))
A212096: 0 0 0 0 0 0 6 6 6 12 12 12 18 18 18 18
(((((((x div 2) + x) + 1) * 2) * 2) * 2) * (2 + 1))
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((((x - (x div ((0 - 2) - 2))) div 2) * 2) div (2 + 1))
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(x div ((((x + 1) mod ((2 + 2) * 2)) + 2) * (2 + 1)))
A339170-A056974-A037876-A037858: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2
(((x * x) * x) mod ((((2 + 2) * 2) * 2) * (2 + 1)))
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(x - (2 - (((x div ((2 + 2) * 2)) + 2) * (2 + 1))))
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((((2 + 2) + 1) * x) mod (((2 + 2) * 2) * (2 + 1)))
A137936: 0 5 10 15 20 1 6 11 16 21 2 7 12 17 22 3
(((x * x) * (x * x)) mod (((2 + 2) * 2) * (2 + 1)))
A070567: 0 1 16 9 16 1 0 1 16 9 16 1 0 1 16 9
(x - ((((1 - x) * x) * ((2 + 2) * 2)) * (2 + 1)))
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((2 - (x - ((x * x) div ((2 + 2) * 2)))) div (2 + 1))
A165686: 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5
((((x + 1) div 2) - ((x div (2 + 2)) mod 2)) mod (2 + 1))
A071858: 0 1 1 2 1 2 2 0 1 2 2 0 2 0 0 1
(((((x - 1) * x) + (x div (2 + 2))) + 2) div (2 + 1))
A032616: 0 0 1 2 5 7 11 15 20 25 31 38 45 53 62 71
((((1 - (x * x)) * (x div (2 + 2))) div 2) mod (2 + 1))
A267113-A188171-A083025-A046080-A005089: 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0
(((((((2 + 2) + 1) * x) + 2) * 2) * 2) * (2 + 1))
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(((((x * x) + 1) mod ((x + 2) + 2)) div 2) div (2 + 1))
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((((((x div 2) - 1) * (x div 2)) div 2) + 2) div (2 + 1))
A035644: 0 0 0 0 1 1 1 1 2 2 4 4 5 5 7 7
(x - ((((x * x) div ((x div 2) + 2)) - 2) div (2 + 1)))
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(1 - (((((2 - x) * (x div 2)) div 2) div 2) div (2 + 1)))
A140436: 1 1 1 2 2 2 2 3 3 4 5 5 6 7 8 9
((((x div 2) + 1) mod (((x mod 2) + 2) * 2)) div (2 + 1))
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((x div 2) - (((x div ((x mod 2) + 2)) + 2) div (2 + 1)))
A278078: 0 0 0 0 1 1 2 2 2 3 3 4 4 4 4 5
((((((x div 2) + x) + 1) div 2) mod (2 + 2)) div (2 + 1))
A261990-A044935: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1
(((((x - 1) * x) div (2 + 2)) mod (2 + 2)) div (2 + 1))
A277143: 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0
(((((x - 2) * x) div (x + 2)) mod (2 + 2)) div (2 + 1))
A103588: 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1
(((x + 2) * x) div (x - (1 - ((2 + 2) * (2 + 1)))))
A127038: 0 0 0 1 1 2 2 3 4 4 5 6 7 8 8 9
(((x + 1) * 2) - ((x + 2) mod ((2 + 2) * (2 + 1))))
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A249443: 0 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27
(((x + 2) * 2) - ((x + 2) mod ((2 + 2) * (2 + 1))))
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(x - ((x + 1) div ((x div 2) - ((2 + 2) * (2 + 1)))))
A339879-A308018: 1 2 3 4 5 6 7 8 10 11 12 13 15 16 17 19
(((((x * x) - 1) * x) * x) div ((2 + 2) * (2 + 1)))
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((((x div ((2 + 2) + 1)) + x) * (2 + 2)) div (2 + 1))
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A047614: 0 1 2 4 5 8 9 10 12 13 16 17 18 20 21 24
((1 - (((x mod (2 + 1)) - x) div (2 + 2))) * (2 + 1))
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(1 - ((x - (((x + 2) * x) * (2 + 2))) div (2 + 1)))
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((((2 - x) mod (2 + 2)) + (x div (2 + 2))) div (2 + 1))
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(1 - ((((2 - x) div 2) * (x div (2 + 2))) div (2 + 1)))
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(2 - (x - (((x * 2) - (x mod (2 + 2))) * (2 + 1))))
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(((x * x) - (((2 - x) * x) div (2 + 2))) div (2 + 1))
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(x - ((((((x div 2) mod 2) + x) div 2) * 2) div (2 + 1)))
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((((x * x) mod (((x div 2) + x) - 2)) div 2) div (2 + 1))
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(x - ((((x mod (2 + 2)) - (x + 2)) - 2) * (2 + 1)))
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((((((2 + 1) * x) + 2) * (x + 2)) div 2) div (2 + 1))
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(((((x * x) * (x - 2)) div (x + 2)) + 2) div (2 + 1))
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(((((x * x) - (x div 2)) mod (x + 2)) div 2) div (2 + 1))
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(x - (((((x * x) * 2) div (x + 2)) - 2) div (2 + 1)))
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((((x - 2) * (x - 1)) div ((x + 2) + 2)) div (2 + 1))
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(x - (((x div (2 + 1)) - ((x + 2) * 2)) div (2 + 1)))
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(((((x div (2 + 1)) mod 2) + (x * 2)) * 2) div (2 + 1))
A047513-A039068: 0 1 2 4 6 7 8 9 10 12 14 15 16 17 18 20
(((((x - 1) * x) div 2) + ((x * 2) * 2)) * (2 + 1))
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((x * 2) - ((x - ((2 - (x div 2)) div 2)) div (2 + 1)))
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(((2 - ((x * x) - 1)) mod ((x div 2) + 2)) div (2 + 1))
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((((x * x) * (2 + 2)) mod ((x div 2) + 2)) div (2 + 1))
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((((x * x) * (x - 2)) div ((x div 2) + 2)) mod (2 + 1))
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(((((x * x) + 1) * x) mod ((x div 2) + 2)) div (2 + 1))
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(2 - (x - ((x * x) - (((x div 2) * 2) * (2 + 1)))))
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(x - ((x - ((x * 2) mod ((x mod 2) + 2))) div (2 + 1)))
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((((((x + 1) mod (2 + 1)) - 1) * x) + 2) div (2 + 1))
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(x - ((((x div ((0 - 2) - 1)) - x) - 2) div (2 + 1)))
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((((((x * x) * (2 + 2)) - 1) * x) * 2) div (2 + 1))
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(1 - (x - (((((x * 2) + 1) * x) * 2) * (2 + 1))))
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((((((2 + 1) * 2) div (x + 1)) + x) * 2) div (2 + 1))
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(((((x mod ((2 + 2) + 1)) mod 2) + x) + 2) div (2 + 1))
A285189-A051889: 0 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5
(x - ((((x div ((0 - 2) - 2)) - x) - 2) div (2 + 1)))
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(x - ((((((x - 1) div 2) mod 2) - x) - 2) div (2 + 1)))
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((((((x div (2 + 2)) + 2) * 2) + x) * 2) * (2 + 1))
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(x - ((((x div ((2 + 2) * 2)) - x) - 2) div (2 + 1)))
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(x - ((((x mod ((2 + 2) * 2)) - x) div 2) * (2 + 1)))
A024644: 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27
((((((x div 2) * (x + 2)) + 2) * x) * 2) * (2 + 1))
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((2 - x) - (((((x div 2) mod 2) - x) div 2) * (2 + 1)))
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(((x div ((0 - 2) * (2 + 1))) mod (x + 2)) + (2 + 1))
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(2 - ((x - (((x + 2) + 2) * (x + 2))) * (2 + 1)))
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((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1))))
A085970-A082997: 0 0 0 0 0 1 1 1 1 2 2 3 3 4 5 5
((((x * 2) div (2 + 1)) + x) * ((x + 2) div (2 + 1)))
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((((x div (2 + 1)) + x) * 2) - ((x - 2) div (2 + 1)))
A152520: 1 3 4 8 10 11
A047343: 1 3 4 8 10 11 15 17 18 22 24 25 29 31 32 36
((((x div (2 + 2)) + x) div 2) - ((x - 2) div (2 + 1)))
A283467: 1 1 1 1 2 2 2 3 3 3 4 3 4 5 4 5
(1 - ((x div 2) - (((x mod 2) + (x * 2)) * (2 + 1))))
A341002-A175885-A061870: 1 10 12 21 23 32 34 43 45 54 56 65 67 76 78 87
((x div ((0 - 2) * (2 + 1))) + ((x * 2) * (2 + 1)))
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((x div (1 - ((2 + 2) * 2))) + ((x * 2) * (2 + 1)))
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(x - (((x * x) * x) div (2 - ((x * 2) * (2 + 1)))))
A024180: 0 2 3 5 7 10 13 16 20 24 28 32 37 42 48 54
((((x * x) * (2 + 1)) + x) * ((x * 2) * (2 + 1)))
A087887: 0 24 168 540 1248 2400 4104 6468 9600 13608 18600 24684 31968 40560 50568 62100
(((x * 2) - (x mod (2 + 1))) + ((x * 2) div (2 + 1)))
A047472: 0 1 3 8 9 11 16 17 19 24 25 27 32 33 35 40
(((x mod (2 + 1)) + (x * 2)) + ((x * 2) div (2 + 1)))
A047528: 0 3 7 8 11 15 16 19 23 24 27 31 32 35 39 40
(((((2 + 1) mod (x + 1)) + 2) + (x div 2)) div (2 + 1))
A305025-A108602: 0 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4
((((((x div 2) + 1) div 2) div 2) * (x div 2)) div (2 + 1))
A035683: 0 0 0 0 0 0 1 1 1 1 1 1 2 2 4 4
(x - ((((x + 1) mod (2 + 2)) + (x div 2)) div (2 + 1)))
A292836: 0 1 1 3 3 4 4 6 7 7 8 10 10 11 11 13
(x mod (1 - (((x mod (2 + 2)) - (x div 2)) div (2 + 1))))
A325223: 0 0 0 0 0 1 0 0 2 1 0 1 0 1 2 0
(x div (((x div (2 + 1)) + 2) + ((x div 2) mod (2 + 1))))
A213259: 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 1
(((((2 + 1) mod (x + 1)) + x) + (x div 2)) + (2 + 1))
A283051: 3 5 6 10
A028727: 3 5 6 10 12 13
((((x + 2) * 2) * (x + 1)) - ((x mod 2) * (2 + 1)))
A255876: 4 9 24 37 60 81 112 141 180 217 264 309 364 417 480 541
((((x * x) + 2) * 2) - (((x * x) - 2) div (2 + 1)))
A011984: 5 7 12 20 32
((((x * x) - 1) * x) - (((x * x) div 2) * (2 + 1)))
A212963: 0 0 0 12 36 84 156 264 408 600 840 1140 1500 1932 2436 3024
(x - ((((1 - (x * x)) * (x * x)) div 2) div (2 + 1)))
A329523: 0 1 4 15 44 105 216 399 680 1089 1660 2431 3444 4745 6384 8415
((x + 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A011826: 2 3 5 9 16 27 43 65 94 131 177 233 300 379 471 577
((((((2 + 1) * x) * (2 + 1)) + 1) * x) * (2 + 1))
A304836: 0 30 114 252 444 690 990 1344 1752 2214 2730 3300 3924 4602 5334 6120
((((((x + 1) * x) * (2 + 1)) + 1) * x) * (2 + 1))
A121628: 0 21 114 333 732 1365 2286 3549 5208 7317 9930 13101 16884 21333 26502 32445
(x - ((((x div 2) mod ((0 - 2) - 1)) - x) div (2 + 1)))
A047571: 0 2 4 5 6 7 8 10 12 13 14 15 16 18 20 21
((((x + 1) mod (((2 + 1) * 2) + 1)) + x) mod (2 + 1))
A140397: 1 0 2 1 0 2 0 2 1 0 2 1 0 1 0 2
((((((x * x) * (2 + 2)) * 2) + 1) * x) div (2 + 1))
A143166: 0 3 22 73 172 335 578 917 1368 1947 2670 3553 4612 5863 7322 9005
(x - ((((x - 1) div ((2 + 2) + 1)) - x) * (2 + 1)))
A188217: 3 4 8 12 16 20 21 25 29 33 37 38 42 46 50 54
((((x * x) div (((x div 2) + 2) + 1)) + x) mod (2 + 1))
A179854: 0 1 0 2 1 1 0 0 2 2 1 2 1 1 0 1
((((x mod ((x div 2) + 1)) div (2 + 1)) + x) * (2 + 1))
A039004: 0 3 6 9 12 15 18 24 27 30 33 36 39 45 48 51
(x - (((((x div 2) * 2) div (2 + 1)) - x) div (2 + 1)))
A001967: 0 2 3 4 5 7 8 9 10 12 13 14 15 16 18 19
(((((x * x) div (2 + 1)) + 1) * (1 - x)) mod (2 + 1))
A300060-A300056: 1 0 1 1 0 0 1 0 2 1 0 1 1 0 0 1
((((x * x) div 2) * x) mod (2 - ((1 - x) div (2 + 1))))
A255309: 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 0
((((x div (2 + 1)) + x) * 2) + ((1 - x) mod (2 + 1)))
A047396: 1 2 6 9 10 14 17 18 22 25 26 30 33 34 38 41
(((((x - 2) * (2 + 1)) mod (x + 1)) * x) mod (2 + 1))
A344982: 0 1 0 0 1 0 0 1 0 0 2 0 0 2 0 0
(((((x * 2) * (2 + 1)) div (x + 1)) + x) + (2 + 1))
A194407: 3 7 9 10 11 13 14 15 16 17 18 19 20 21 22 23
((((x - (x mod ((0 - 2) - 1))) div 2) + x) + (2 + 1))
A154663: 3 5 6 7 10 11
A028730: 3 5 6 7 10 11 12 14
(((1 - (x mod (((2 + 2) + 1) * 2))) * x) mod (2 + 1))
A223730-A144595-A025426: 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A024659: 0 1 2 3 4 5 6 7 8 9 40 41 42 43 44 45
(1 - ((((x mod ((2 + 2) + 1)) mod 2) - x) div (2 + 1)))
A110867: 1 1 2 2 3 3 3 4 4 4 5 5 5
A163563: 1 1 2 2 3 3 3 4 4 4 5 5 5 5 6 6
(x - (((((x mod (2 + 2)) - 1) div 2) - x) div (2 + 1)))
A050126: 1 2 3 4 6 7 8 9 11 12 14 15 17 18 19 20
((((x - ((x div 2) div (2 + 1))) div 2) + x) + (2 + 1))
A248185: 3 4 6 7 9 10 11 13 14 16 17 19 20 21 23 24
((((x mod (((2 + 2) + 1) * 2)) * 2) + x) div (2 + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A245346-A081502-A028898: 0 1 2 3 4 5 6 7 8 9 3 4 5 6 7 8
((((((x + 1) mod (2 + 1)) * 2) * 2) + x) div (2 + 1))
A171088: 1 3 0 2 4 1 3 5 2 4 6 3 5 7 4 6
((((((x div 2) div (2 + 1)) * 2) * 2) + x) div (2 + 1))
A243348: 0 0 0 1 1 1 3 3 4 4 4 5 6 7 7 7
(x - ((((x mod ((0 - 2) - 2)) - 2) - x) div (2 + 1)))
A220844: 1 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21
(1 - ((((x mod ((0 - 2) - 2)) div 2) - x) div (2 + 1)))
A071868: 1 2 2 3 3 4 4 4 4 5 5 5 5 6 6 7
(compr(\x.(x mod ((2 - (x mod (2 + 2))) + 2)),x) + (2 + 1))
A213199: 3 5 6 7 9 10 11 12 13 14 15 17 18 19 21 22
((x + 2) - ((((2 - (x div 2)) div 2) - x) div (2 + 1)))
A093001: 2 3 5 6 8 9 11 12 13 15 16 18 19 20 22 23
(1 - (x - (((((2 + 1) * x) + 2) * x) * (2 + 1))))
A214675: 1 15 47 97 165 251 355 477 617 775 951 1145 1357 1587 1835 2101
(1 - (x - (((((x div 2) + x) div 2) + x) * (2 + 1))))
A010064: 1 3 8 13 18 20 25 30 35 37 42 47 52 54 59 64
(((((((2 + 2) + 1) * x) * x) - 2) * x) div (2 + 1))
A004466: 0 1 12 43 104 205 356 567 848 1209 1660 2211 2872 3653 4564 5615
(((x * 2) - (x mod ((0 - 2) - 1))) + (x div (2 + 1)))
A047375: 0 4 5 7 11 12 14 18 19 21 25 26 28 32 33 35
(((x div ((x div (2 + 1)) + 1)) + 2) + (x div (2 + 1)))
A319434: 2 3 4 4 5 5 6 6 6 7 7 7 8 8 8 9
(((2 mod ((x mod (2 + 1)) + 1)) * 2) + (x div (2 + 1)))
A021247: 0 0 4 1 1 5 2 2 6 3 3 7 4 4 8 5
(((x - (x div ((0 - 2) - 1))) * 2) - (x div (2 + 1)))
A047289: 0 4 6 7 11 13 14 18 20 21 25 27 28 32 34 35
(x - (((x div ((2 + 2) + 1)) * 2) + (x div (2 + 1))))
A268672: 0 1 2 2 3 2 2 3 4 4 3 4 4 5 6 4
((((x - (x div (2 + 2))) + 1) div 2) - (x div (2 + 1)))
A333805-A091853: 0 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1
(((x - (((x div 2) mod 2) - 1)) div 2) - (x div (2 + 1)))
A112689: 0 1 1 0 1 2 1 1 2 2 2 2 2 3 3 2
(((x - ((1 - x) div (2 + 1))) * 2) - (x div (2 + 1)))
A047277: 0 2 6 7 9 13 14 16 20 21 23 27 28 30 34 35
(x div (x - ((((x div 2) - 1) div 2) + (x div (2 + 1)))))
A051265: 0 0 1 1 1 1 2 1 1 1 2 1 2 1 2 2
(((x div (2 + 2)) + ((x + 1) * 2)) + (x div (2 + 1)))
A189753: 2 4 6 9 12 14 17 19 22 25 27 29 33 35 37 40
(((x div (2 + 2)) - ((x - 1) div 2)) + (x div (2 + 1)))
A212219-A025865-A008647: 1 0 0 0 1 0 1 0 1 1 1 0 2 1 1 1
(((2 - (x div ((0 - 2) - 2))) div 2) + (x div (2 + 1)))
A097535: 1 1 1 2 2 3 4 4 4 5 5 5 6 7 7 8
(x - ((x + 2) div (((2 + 2) * 2) - (x div (2 + 1)))))
A123580: 0 1 2 3 4 4 5 6 7 7 8 9 9 10 10 10
((((x + 1) * 2) div ((x div 2) + 2)) + (x div (2 + 1)))
A095773: 1 2 2 3 3 4 4 5 5 6 6 6 7 7 7 8
((((1 - x) mod (2 + 1)) + (x * 2)) + (x div (2 + 1)))
A047278: 1 2 6 8 9 13 15 16 20 22 23 27 29 30 34 36
(((((x * 2) div (2 + 1)) * 2) + x) + (x div (2 + 1)))
A047462: 0 1 4 8 9 12 16 17 20 24 25 28 32 33 36 40
((2 div ((((2 + 2) * 2) * 2) - x)) * (x div (2 + 1)))
A222807: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10
(((((x * x) div 2) * (x - 2)) + 1) + (x mod (2 + 1)))
A121510: 1 2 3 5 18
(((x - (x div ((0 - 2) - 1))) * 2) - (x mod (2 + 1)))
A047458: 0 3 4 8 11 12 16 19 20 24 27 28 32 35 36 40
(((((x * 2) div (2 + 1)) * 2) * 2) + (x mod (2 + 1)))
A047394: 0 1 6 8 9 14 16 17 22 24 25 30 32 33 38 40
(x div ((((x div (2 + 2)) + 2) + 2) - (x mod (2 + 1))))
A024890: 0 0 1 0 1 1 1 1 2 1 2 2 1 2 2 2
(((((x mod 2) * 2) + x) * (x div 2)) + (x mod (2 + 1)))
A010382: 0 1 4 5 9 16
((((((x * x) * (2 + 2)) - 1) * x) * x) div (2 + 1))
A187756: 0 1 20 105 336 825 1716 3185 5440 8721 13300 19481 27600 38025 51156 67425
((x * 2) mod (2 - ((((x mod 2) * x) - x) div (2 + 1))))
A069849: 0 0 1 0 0 0 0 0 1 0 2 0 0 0 0 0
((((x - 2) * (x - 1)) div 2) + ((x * x) * (2 + 1)))
A140065: 1 3 12 28 51 81 118 162 213 271 336 408 487 573 666 766
(((x - 1) mod ((2 + 2) * 2)) + ((x * x) div (2 + 1)))
A118288: 7 0 2 5 8
((((((x * x) * 2) + 1) * x) * (x * x)) div (2 + 1))
A272125: 0 1 24 171 704 2125 5256 11319 22016 39609 67000 107811 166464 248261 359464 507375
(((2 - x) * 2) - (((1 - (x * x)) * x) div (2 + 1)))
A270809: 4 2 2 6 16 34 62 102 156 226 314 422 552 706 886 1094
((((x div (((2 + 2) * (2 + 1)) - 1)) + x) * 2) + 1)
A062505: 1 3 5 7 9 11 13 15 17 19 21 25 27 29 31 33
((x - ((((x - 1) div ((2 + 2) + 1)) - x) * 2)) - 1)
A276881: 1 2 5 8 11 14 15 18 21 24 27 28 31 34 37 40
((((((x + 1) * 2) * ((2 + 2) + 1)) + x) * 2) - 1)
A248339: 19 41 63 85 107 129 151 173 195 217 239 261 283 305 327 349
((((((x * x) div 2) div ((2 + 2) + 1)) + x) div 2) + 1)
A238886: 1 1 2 2 3 4 5 6 8 9 11 12 14 15 17 19
(((((x div 2) mod ((x div (2 + 2)) + 1)) + x) * 2) + 1)
A327260: 1 3 5 7 9 11 15 17 19 21 25 27 29 31 35 37
(x - (((((x div (2 + 1)) mod (2 + 1)) - x) div 2) - 1))
A330565: 1 3 4 5 7 8 9 11 12 15
(((((((x + 2) + 2) * 2) * (2 + 1)) + x) * 2) - 1)
A126980: 47 61 75 89 103 117 131 145 159 173 187 201 215 229 243 257
(((x * x) div ((((2 + 2) * (2 + 1)) + x) * 2)) + 1)
A008668: 1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 5
(((((x - (x mod (2 + 2))) div (2 + 1)) + x) * 2) + 1)
A283680: 1 3 5 7 11 13 15 17 21 23 25 27 33 35 37 39
(x - ((((((2 - x) div 2) div (2 + 1)) - x) div 2) - 1))
A285206: 1 3 4 6 8 9 11 12 14 16 17 19 20 22 23 25
(((x * 2) - ((((x div 2) div (2 + 1)) - x) div 2)) + 1)
A231407: 1 4 6
A285078: 1 4 6 9 11 14 16 18 21 23 26 28 30 33 35 38
((((((2 + 2) * 2) * ((x * 2) + 1)) - x) * 2) + 1)
A128468: 17 47 77 107 137 167 197 227 257 287 317 347 377 407 437 467
((((x mod 2) * (x + 2)) + (((x + 1) * x) div 2)) + 1)
A316671: 1 5 4 12 11 23 22 38 37 57 56 80 79 107 106 138
(((x * 2) - ((((x div 2) div (0 - 2)) - x) div 2)) + 1)
A279054: 1 4 7 9 12 14 17 20 22 25 28 30 33 35 38 41
((((((x + 1) div ((2 + 2) + 1)) * 2) + x) * 2) + 1)
A285130: 1 3 5 7 13 15 17 19 21 27 29 31 33 35 41 43
(x - ((((((x div (2 + 2)) - 1) div 2) - x) div 2) - 1))
A248229: 2 3 5 6 7 9 10 12 13 15 16 18 19 20 22 23
(x - ((((x div ((x div (0 - 2)) - 2)) - x) div 2) - 1))
A276210: 1 3 5 6 8 9 11 13 14 16 17 19 20 22 23 25
(((((x mod ((x mod (2 + 1)) + 2)) div 2) + x) div 2) + 1)
A317648-A284007: 1 1 2 2 3 3 4 4 5 5 6 7 7 7 8 8
((x - ((((((x - 1) div 2) div 2) div 2) - x) * 2)) - 1)
A276877: 1 2 5 8 11 14 17 20 23 24 27 30 33 36 39 42
((((x * 2) + 1) mod ((((2 + 2) * 2) + x) + 2)) + 1)
A115299-A088133: 2 4 6 8 10 12 14 16 18 1 2 3 4 5 6 7
(x - (x mod ((((x mod ((2 + 2) * 2)) - x) * 2) + 1)))
A171649: 0 1 2 3 4 5 6 7 15 15 15 15 15 15 15 15
(x - (x mod ((((x mod ((2 + 2) * 2)) - x) * 2) - 1)))
A171678: 0 1 2 3 4 5 6 7 17 17 17 17 17 17 17 17
((((x div (((2 - x) div (2 + 2)) - 2)) + x) * 2) + 1)
A122800: 1 1 3 5 5 7 9 11 13 13 15 17 19 21 23 25
(((((x * x) div (((x + 2) + 2) * 2)) + x) div 2) + 1)
A213855: 1 1 2 2 3 4 4 5 6 7 7 8 9 9 10 11
(x - ((((((2 - (x div 2)) div 2) div 2) - x) div 2) - 1))
A225647: 1 3 4 6 7
A247779-A243989: 1 3 4 6 7 9 11 12 14 15 17 18 20 21 23 25
(((((((x mod 2) * 2) + x) * (2 + 2)) - x) * 2) + 1)
A166526: 1 23 13 35 25 47 37 59 49 71 61 83 73 95 85 107
(x - (((x * x) div (((x div (2 + 2)) + x) + 2)) - 1))
A146323: 1 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5
(((((((x div (2 + 1)) * x) div 2) mod 2) + x) div 2) + 1)
A137512: 1 1 2 3 3 3 4 5 5 6 6 6 7 7 8 9
(x - (((x * x) div ((x * 2) - ((2 - x) div 2))) - 1))
A309430-A076370: 1 2 2 3 4 4 5 6 6 7 7 8 9 9 10 10
(((x * 2) - ((x * x) div (x - ((2 - x) div 2)))) + 1)
A026371: 1 2 3 5 6 8 9 11 12 13 14 16 17 19 20 21
((((((x div ((2 + 2) * 2)) + x) div 2) + x) * 2) + 1)
A132222: 1 3 7 9 13 15 19 21 25 29 31 35 37 41 43 47
((((((x div 2) + x) + 2) * ((x div 2) + x)) * 2) + 1)
A298039: 1 7 31 49 97 127 199 241
(x - ((((x * x) + 1) div (((x div 2) + x) + 2)) - 1))
A061017: 1 2 2 3 3 4 4 4 5 5 6 6 6 6 7 7
((((x * x) * 2) + 1) div ((((x div 2) + x) * 2) + 1))
A062298: 1 1 1 2 2 3 3 4 5 6 6 7 7 8 9 10
(((x div 2) mod (2 + 1)) div ((((x div 2) * x) mod 2) + 1))
A060571: 0 0 1 0 2 2 0 0 1 1 2 1 0 0 1 0
((((x div (((2 + 1) * 2) + 1)) + 1) * (x + 2)) - 1)
A138988: 1 2 3 4 5 6 7 17 19 21 23 25 27 29 47 50
(((2 - (x - (((2 + 2) * 2) + 1))) * (x + 2)) + 1)
A126719: 23 31 37 41 43 43 41 37 31 23 13 1 ~13 ~29 ~47 ~67
((((((x + 2) * (x + 2)) * 2) - 1) * (x + 2)) + 1)
A193608: 15 52 125 246 427 680 1017 1450 1991 2652 3445 4382 5475 6736 8177 9810
((((((x div (2 + 2)) - x) div 2) * 2) mod (x + 2)) + 1)
A100795: 1 2 3 2 3 4 3 4 5 4 5 4 5 6 5 6
((((((x + 2) * x) * (x + 2)) + 2) * (x + 2)) - 1)
A221464: 3 32 135 384 875 1728 3087 5120 8019 12000 17303 24192 32955 43904 57375 73728
((((x * x) mod (x - ((2 - x) div 2))) div (x + 2)) + 1)
A117546: 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1
((((x div 2) + (x * 2)) * (2 + 1)) div ((x + 2) + 1))
A130250: 0 1 3 3 4 4 5 5 5 5 5 5 6 6 6 6
(((((x * x) div (2 + 2)) + x) + 1) * ((x + 2) + 1))
A143785: 3 8 20 36 63 96 144 200 275 360 468 588 735 896 1088 1296
((((x + 2) div ((x mod 2) + 1)) + 2) * ((x + 2) + 1))
A048759: 12 12 30 24 56 40 90 60 132 84 182 112 240 144 306 180
(((((x div 2) + x) * (x - 1)) div 2) div ((x + 2) + 1))
A127041: 0 0 0 0 1 1 2 3 3 4 5 5 6 7 8 8
compr(\x.(x mod ((((x div 2) * x) mod 2) + 2)),((x + 2) + 1))
A272601: 4 6 8 10 12 14 15 16 18 20 22 24 26 27 28 30
(x - (((2 - x) - ((x * 2) * 2)) * ((x + 2) + 1)))
A239794: ~6 13 42 81 130 189 258 337 426 525 634 753 882 1021 1170 1329
(x - ((((x * x) * (1 - x)) div 2) * ((x + 2) + 1)))
A212134: 0 1 12 57 172 405 816 1477 2472 3897 5860 8481 11892 16237 21672 28365
((x + 2) - (((2 - x) * (x div 2)) div ((x + 2) + 1)))
A186511: 2 3 4 6 7 8 10 11 13 14 16 17 18 20 21 23
((x * 2) - (((2 - x) * (x div 2)) div ((x + 2) + 1)))
A081841: 0 2 4 7 9 11 14 16 19 21 24 26 28 31 33 36
((x * 2) div (((((2 + 2) + 1) * x) div (x + 2)) + 1))
A101402: 0 1 1 1 2 2 3 3 3 3 4 4 4 5 5 6
((((x + 2) * 2) - (((x - 1) * x) div (x + 2))) + 1)
A160811: 5 7 9 10 11 13 14 15 16 17 18 19 20 21 22 23
((((x - ((x div 2) div (0 - 2))) mod 2) + (x * 2)) + 1)
A231407: 1 4 6
A133483: 1 4 6 7 10 11 13 16
((((x - (((x div 2) - 1) div 2)) mod 2) + (x * 2)) + 1)
A133484: 2 3 5 8 9 12 14 15
((((x - (x div ((0 - 2) - 2))) div 2) + (x * 2)) + 1)
A231407: 1 4 6
A003259: 1 4 6 9 11 14 17 19 22 25 27 30 32 35 38 40
(((((x - (x div (2 + 2))) div 2) mod 2) + (x * 2)) + 1)
A286754: 1 3 6 8 10 11 13 16 18 20 21 23 25 28 30 31
(((((x div 2) - (x mod (2 + 2))) div 2) + (x * 2)) + 1)
A129630: 1 2 4 6 10 11 13 15 19 20 22 24 28 29 31 33
((((((x div 2) div (2 + 1)) + x) div 2) + (x * 2)) + 1)
A122437: 1 3 6 8 11 13 16 19 21 24 26 29 32 34 37 39
((((x * x) div (((2 + 1) * x) - 2)) + (x * 2)) + 1)
A231407: 1 4 6
A286043: 1 4 6 8 10 12 15 17 19 22 24 26 29 31 33 36
(1 - (((x + 2) * x) div (((x div 2) - (x * 2)) - 1)))
A254828: 1 2 3 4 5 5 6 7 8 8 9 9 10 11 12 12
(((((x * 2) * 2) * (2 + 1)) + 1) * ((x * 2) + 1))
A033576: 1 39 125 259 441 671 949 1275 1649 2071 2541 3059 3625 4239 4901 5611
(((((2 + 1) * x) * (2 + 1)) + 1) * ((x * 2) + 1))
A033573: 1 30 95 196 333 506 715 960 1241 1558 1911 2300 2725 3186 3683 4216
(((((x + 1) * x) * (2 + 1)) + 1) * ((x * 2) + 1))
A193218: 1 21 95 259 549 1001 1651 2535 3689 5149 6951 9131 11725 14769 18299 22351
(((((2 + 2) + 1) * (x + 1)) + 1) * ((x * 2) + 1))
A153127: 6 33 80 147 234 341 468 615 782 969 1176 1403 1650 1917 2204 2511
((((2 - x) mod ((2 + 2) * 2)) - 1) div ((x * 2) + 1))
A089805: 1 0 ~1 0 0 0 0 0 0 0 ~1 0 0 0 0 0
compr(\x.((x + 1) mod (((x mod 2) + 2) + 1)),((x * 2) + 1))
A140492: 3 8 14 19 23 27 32 38 43 47 51 56 62 67 71 75
((((((2 + 2) + 1) * x) * 2) + 1) * ((x * 2) + 1))
A033574: 1 33 105 217 369 561 793 1065 1377 1729 2121 2553 3025 3537 4089 4681
((((((2 + 1) * 2) + 1) * x) + 1) * ((x * 2) + 1))
A033572: 1 24 75 154 261 396 559 750 969 1216 1491 1794 2125 2484 2871 3286
(((((2 div (x + 1)) + 2) * x) + 1) * ((x * 2) + 1))
A280321: 1 12 25 49 81 121 169 225 289 361 441 529 625 729 841 961
(((((2 + 1) * x) + 1) * (x + 1)) * ((x * 2) + 1))
A011199: 1 24 105 280 585 1056 1729 2640 3825 5320 7161 9384 12025 15120 18705 22816
((((2 + 2) * (x + 1)) * (x + 1)) * ((x * 2) + 1))
A192418: 4 48 180 448 900 1584 2548 3840 5508 7600 10164 13248 16900 21168 26100 31744
(((((x * 2) * 2) * 2) * (x + 1)) * ((x * 2) + 1))
A181773: 0 48 240 672 1440 2640 4368 6720 9792 13680 18480 24288 31200 39312 48720 59520
(((((2 + 2) * (x + 1)) - 1) * 2) * ((x * 2) + 1))
A256833: 6 42 110 210 342 506 702 930 1190 1482 1806 2162 2550 2970 3422 3906
((((((x + 1) * x) + 1) * 2) * 2) * ((x * 2) + 1))
A173961: 4 36 140 364 756 1364 2236 3420 4964 6916 9324 12236 15700 19764 24476 29884
((x div 2) - (x - (((2 + 2) * 2) * ((x * 2) + 1))))
A164131: 8 23 39 54 70 85 101 116 132 147 163 178 194 209 225 240
(1 - (x - ((((x * 2) * 2) * 2) * ((x * 2) + 1))))
A143839: 1 24 79 166 285 436 619 834 1081 1360 1671 2014 2389 2796 3235 3706
(((((x * x) div (2 + 1)) * x) div 2) div ((x * 2) + 1))
A321195: 0 0 0 0 1 1 2 3 4 6 7 9 11 13 15 18
(((x div (((2 + 1) * 2) + 1)) + x) + ((x * 2) + 1))
A327139: 1 4 7 10 13 16 19 23 26 29 32 35 38 41 45 48
((((x * 2) div ((2 + 2) + 1)) + x) + ((x * 2) + 1))
A083051: 1 4 7 11 14 18 21 24 28 31 35 38 41 45 48 52
(((((x * 2) + 1) * (2 + 1)) + x) * ((x * 2) + 1))
A195029: 3 30 85 168 279 418 585 780 1003 1254 1533 1840 2175 2538 2929 3348
((((x mod ((2 + 2) * 2)) * 2) - x) mod ((x * 2) + 1))
A084689: 0 1 2 3 4 5 6 7 9
A245761: 0 1 2 3 4 5 6 7 9 12
(((x mod (((2 + 2) * 2) + 1)) - 1) div ((x * 2) - 1))
A015494-A014954-A014036: 1 0 0 0 0 0 0 0 0 ~1 0 0 0 0 0 0
((((2 + 2) * 2) * (x + 1)) + (1 div ((x * 2) - 1)))
A273745: 7 17 24 32 40 48 56 64 72 80 88 96 104 112 120 128
((((x - ((2 - x) * 2)) * x) + 1) * ((x * 2) - 1))
A033594: ~1 0 15 80 231 504 935 1560 2415 3536 4959 6720 8855 11400 14391 17864
((((x * 2) * (x + 1)) * (x + 1)) * ((x * 2) - 1))
A187190: 0 8 108 480 1400 3240 6468 11648 19440 30600 45980 66528 93288 127400 170100 222720
(((((x * x) * (2 + 1)) - x) div 2) * ((x * 2) - 1))
A005945: 0 1 15 60 154 315 561 910 1380 1989 2755 3696 4830 6175 7749 9570
((x * x) - (((1 - x) - (x * 2)) * ((x * 2) - 1)))
A239449: 1 3 19 49 93 151 223 309 409 523 651 793 949 1119 1303 1501
((((((x * x) - 1) * x) * x) div 2) div ((x * 2) - 1))
A045947: 0 0 2 7 17 33 57 90 134 190 260 345 447 567 707 868
(((((2 + 2) * (2 + 1)) + 1) * x) * ((x * 2) - 1))
A194713: 0 13 78 195 364 585 858 1183 1560 1989 2470 3003 3588 4225 4914 5655
(((((2 + 2) * (2 + 1)) - 1) * x) * ((x * 2) - 1))
A154617: 0 11 66 165 308 495 726 1001 1320 1683 2090 2541 3036 3575 4158 4785
((((((2 + 2) * (2 + 1)) + 1) * x) * (x * 2)) + 1)
A158549: 1 27 105 235 417 651 937 1275 1665 2107 2601 3147 3745 4395 5097 5851
((((((2 + 2) * (2 + 1)) - 1) * x) * (x * 2)) + 1)
A158537: 1 23 89 199 353 551 793 1079 1409 1783 2201 2663 3169 3719 4313 4951
(((((((2 + 2) * 2) * 2) + 1) * x) * (x * 2)) + 1)
A158586: 1 35 137 307 545 851 1225 1667 2177 2755 3401 4115 4897 5747 6665 7651
(((((x mod 2) * 2) * ((2 + 2) + 1)) + (x div 2)) + 1)
A338191-A330521: 1 11 2 12 3 13 4 14 5 15 6 16 7 17 8 18
(((x + 2) div (((2 + 2) * (2 + 1)) - (x div 2))) + 1)
A242763-A025788: 1 1 1 1 1 1 1 2 2 2 2 2 3 3 4 4
(x - (((((x div 2) - (x * 2)) - 1) * (x div 2)) - 1))
A309805: 1 2 7 10 19 24 37 44 61 70 91 102 127 140 169 184
((2 div (((((x mod 2) + 2) * 2) * 2) - (x div 2))) + 1)
A210954: 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1
((((((x mod 2) * 2) + x) * (2 + 2)) - (x div 2)) + 1)
A166522: 1 13 8 20 15 27 22 34 29 41 36 48 43 55 50 62
((((((x mod 2) * (2 + 1)) + x) * 2) + (x div 2)) + 1)
A166520: 1 9 6 14 11 19 16 24 21 29 26 34 31 39 36 44
((((((x div (2 + 1)) mod 2) + x) * 2) + (x div 2)) + 1)
A028357: 1 3 6 10 13 15 16 18 21 25 28 30 31 33 36 40
(((((((x mod 2) + x) * 2) + x) * 2) + (x div 2)) + 1)
A106389: 1 11 14 24 27 37 40 50 53 63 66 76 79 89 92 102
(((((((x * 2) - 1) * x) * x) div 2) + (x div 2)) + 1)
A129959: 1 1 8 24 59 115 202 322 485 693 956 1276 1663 2119 2654 3270
(((((x mod 2) + x) * (2 + 1)) + 1) * ((x div 2) + 1))
A095894: 1 7 14 26 39 57 76 100 125 155 186 222 259 301 344 392
((((((x + 1) div 2) div 2) * 2) + 1) * ((x div 2) + 1))
A282079: 1 1 2 6 9 9 12 20 25 25 30 42 49 49 56 72
((((x + 1) div 2) * ((x div 2) + 1)) * ((x div 2) + 1))
A210433: 0 1 4 8 18 27 48 64 100 125 180 216 294 343 448 512
(((x * x) - 2) div (((2 + 1) * 2) + ((x div 2) + 1)))
A127565: ~1 ~1 0 0 1 2 3 4 5 7 8 9 10 12 13 15
((((x + 2) div ((x mod 2) + 1)) + 2) * ((x div 2) + 1))
A055523: 4 3 12 8 24 15 40 24 60 35 84 48 112 63 144 80
(x mod (((((x + 2) + 2) * 2) * 2) div ((x div 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A217928: 0 1 2 3 4 5 6 7 8 9 1 1 3 4 5 6
((((x * x) - 1) mod ((x mod 2) + 2)) mod ((x div 2) + 1))
A174695: 0 0 1 0 1 0 1 0 1 2 1 0 1 0 1 2
((((x + 1) * x) div 2) - (2 - (2 div ((x div 2) + 1))))
A192225: 0 1 2 5
A054254: 0 1 2 5 8 13 19 26 34 43 53 64 76 89 103 118
(((((x div 2) mod (2 + 2)) + x) - 2) mod ((x div 2) + 1))
A229878: 0 0 1 0 1 2
A053645: 0 0 1 0 1 2 3 0 1 2 3 4 5 6 7 0
(((((x div 2) * 2) div (2 + 1)) + x) + ((x div 2) + 1))
A286805: 1 2 4 5 8 9 12 13 15 16 19 20 23 24 26 27
((((((x mod 2) * x) * 2) + 1) * x) div ((x div 2) + 1))
A019427: 0 3 1 10 1 18 1 26 1 34 1 42 1 50 1 58
((((((x mod 2) + (x * 2)) + 2) * x) - (x div 2)) + 1)
A057029: 1 6 12 27 39 64 82 117 141 186 216 271 307 372 414 489
(((x mod (2 + 2)) - (((x mod 2) * x) - (x div 2))) - 1)
A134405: ~1 ~1 2 0 1 ~3 4 ~2 3 ~5 6 ~4 5 ~7 8 ~6
(((x - (x mod (((2 + 2) * 2) + 1))) * (x mod 2)) + 1)
A343132: 1 1 1 1 1 1 1 1 1 10 1 10 1 10 1 10
((((((x div 2) + x) div 2) * (2 + 1)) + (x mod 2)) + 1)
A222011: 1 2 4 8
A028836: 1 2 4 8 10 11 13 17 19 20 22 26 28 29 31 35
(((((x * x) div (x + 2)) * (x + 1)) + (x mod 2)) + 1)
A002097: 1 2 4 6 11 20 29
(1 - (x mod (((x mod ((2 + 1) * 2)) + (x mod 2)) - 1)))
A321144: 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1
(((((x div 2) - (x div (2 + 1))) div 2) - (x mod 2)) + 1)
A025822: 1 0 1 0 1 0 1 0 2 0 2 1 2 1 2 1
(((((x div ((2 + 2) + 1)) mod 2) * 2) + (x mod 2)) + 1)
A105778: 1 2 1 2 1 4 3 4 3 4 1 2 1 2 1 4
((((x - 2) * x) div (((2 + 2) * 2) - (x mod 2))) + 1)
A114220: 1 0 1 1 2 3 4 6 7 10 11 15 16 21 22 28
(x - ((((((x div 2) + x) div 2) mod 2) - (x mod 2)) - 1))
A109451: 1 3 2 5 4 6 7 8 9 11 10 13 12 14 15 16
(((x - (x div ((0 - 2) - 2))) * (2 - (x mod 2))) + 1)
A328984: 1 3 7 5 11 8 17 10 21 13 27 15 31 18 37 20
((((x * x) div (2 + 1)) + 1) div ((2 - (x mod 2)) + 1))
A279405: 0 0 0 2 2 4 4 8 7
((((((x div 2) * (x div 2)) + x) div 2) - (x mod 2)) + 1)
A008818: 1 0 2 2 5 4 8 8 13 12 18 18 25 24 32 32
((x div (((2 + 2) * (2 + 1)) - 1)) * ((x mod 2) + 1))
A161272: 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2
((((1 - x) mod ((2 + 2) * 2)) + 1) div ((x mod 2) + 1))
A252852: 2 0 8 3 6
(x div (x - (((x - 1) div (2 + 1)) * ((x mod 2) + 1))))
A293895: 0 1 1 1 1 1 1 2 1 1 1 2 1 2 1 2
(((x * x) * x) mod (((2 + 2) * 2) * ((x mod 2) + 1)))
A167166: 0 1 0 11 0 13 0 7 0 9 0 3 0 5 0 15
(((x div 2) + 1) mod (((x div 2) + 2) div ((x mod 2) + 1)))
A135157: 1 0 2 0 3 1 4 0 5 2 6 0 7 3 8 0
((((((x * x) - 1) * x) + 1) * x) + ((x mod 2) + 1))
A125700: 1 3 15 77
((((((x - 1) * x) - 1) * x) * x) + ((x mod 2) + 1))
A307406: 1 1 5 47
(x - ((((x mod 2) - (((x div 2) + x) * x)) * 2) - 1))
A175828: 1 2 15 26 53 74 115 146 201 242 311 362 445 506 603 674
(((((x + 2) * x) div (2 + 2)) + ((x * x) * 2)) + 1)
A121471: 1 3 11 22 39 59 85 114 149 187 231 278 331 387 449 514
(((((x + 2) * x) * (x + 2)) - ((x * x) div 2)) + 1)
A111500: 1 10 31 72 137 234 367 544 769 1050 1391 1800 2281 2842 3487 4224
(((x + 1) div 2) - (((x * 2) * 2) div ((0 - x) - 1)))
A121854: 0 3 4 5 6 7 7 8 8 9 9 10 10 11 11 12
(((x - ((x mod (((2 + 2) * 2) + 1)) - 1)) * x) + 1)
A066492: 1 2 3 4 5 6 7 8 9 91 101 111 121 131 141 151
(((((((2 + 1) * x) + 2) * (2 + 1)) + 1) * x) + 1)
A214660: 1 17 51 103 173 261 367 491 633 793 971 1167 1381 1613 1863 2131
(((((((x * 2) * 2) + 1) * (x - 1)) - 1) * x) - 1)
A268644: ~1 ~2 15 74 199 414 743 1210 1839 2654 3679 4938 6455 8254 10359 12794
((((((((x * 2) * 2) * 2) + 1) * 2) + 1) * x) + 1)
A143854: 1 20 71 154 269 416 595 806 1049 1324 1631 1970 2341 2744 3179 3646
(((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + x) + 1)
A183570: 1 2 3 5 6 7 8 9 11 12 13 14 15 16 17 19
((((((((x * 2) * 2) + 1) * 2) * 2) + 1) * x) + 1)
A143838: 1 22 75 160 277 426 607 820 1065 1342 1651 1992 2365 2770 3207 3676
((((((((x * 2) * 2) - 1) * 2) * 2) - 1) * x) + 1)
A143856: 1 12 55 130 237 376 547 750 985 1252 1551 1882 2245 2640 3067 3526
(((((x + 2) * x) div (((2 + 2) * 2) + 1)) + x) + 1)
A184017: 1 2 3 5 7 9 12 15 17 21 24 27 31 35 39 44
(x - (x mod (((x mod (((2 + 2) * 2) + 1)) - x) - 1)))
A265572: 0 1 2 3 4 5 6 7 8 10 10 20 20 20 20 20
((((((x + 1) * x) div 2) div ((2 + 2) + 1)) + x) + 1)
A248420: 1 2 3 5 7 9 11 13 16 19 22 25 28 32 36 40
((((((x + 2) * x) * 2) div ((2 + 2) + 1)) + x) + 1)
A083505: 1 3 6 10 14
A183863: 1 3 6 10 14 20 26 33 41 49 59 69 80 92 104 118
((((((x mod 2) + x) + 2) * ((2 + 2) + 1)) + x) + 1)
A095779: 11 22 23 34 35 46 47 58 59 70 71 82 83 94 95 106
((compr(\x.((x div 2) mod 2),(x div ((2 + 2) + 1))) + x) + 1)
A333943-A333764: 1 2 3 4 5 7 8 9 10 11 15 16 17 18 19 21
((((x div (((2 + 1) * 2) + 1)) * (2 + 1)) + x) + 1)
A214677: 1 2 3 4 5 6 7 11 12 13 14 15 16 17 21 22
(compr(\x.((((2 - x) * x) div (2 + 1)) mod (2 + 1)),x) + 1)
A028841: 1 2 3 5 8 10 11 12 14 17 19 20 21 23 26 28
((((((x * 2) div (2 + 1)) * 2) div (2 + 1)) + x) + 1)
A288373: 1 2 3 5 6 8 9 10 12 14 15 16 18 19 21 22
(((((x mod ((x div 2) + 1)) div 2) * (2 + 1)) + x) + 1)
A032969: 1 2 3 4 5 9 10 11 12 16 17 18 19 23 24 25
((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) + 1)
A189529-A120514-A101886: 1 2 3 5 6 7 9 10 11 14 15 16 18 19 20 22
(((x * x) div ((((2 + 2) * 2) * (2 + 1)) + x)) + 1)
A029112: 1 1 1 1 1 1 2 2 3 3 3 4 5 5 6 6
(((x * x) * x) mod ((((2 + 2) * (2 + 1)) + x) + 1))
A106670: 0 1 8 11 13 17
((((((x + 2) * (x + 2)) * 2) div (2 + 1)) + x) + 1)
A317195: 3 8 13 20 29 38
((((((x div (2 + 2)) + x) div 2) * (2 + 1)) + x) + 1)
A286995: 1 2 6 7 11 15 16 20 24 25 29 30 34 38 39 43
((((((x * x) * 2) div (x + 2)) div (2 + 1)) + x) + 1)
A026355: 1 2 3 5 6 8 10 11 13 14 16 18 19 21 23 24
(((2 - x) * x) mod ((((x div 2) div (2 + 1)) + x) + 1))
A293497: 0 1 0 1 2 3 0 1 2 3 4 5 0 1 2 3
(((((2 + 2) + 1) * x) + 1) * (((2 + 1) * x) + 1))
A144459: 1 24 77 160 273 416 589 792 1025 1288 1581 1904 2257 2640 3053 3496
((((x - 2) * x) * (x - 1)) * (((2 + 1) * x) - 1))
A115056: 0 0 0 48 264 840 2040 4200 7728 13104 20880 31680 46200 65208 89544 120120
(x - (((1 - x) * (x * 2)) * (((2 + 1) * x) - 1)))
A272378: 0 1 22 99 268 565 1026 1687 2584 3753 5230 7051 9252 11869 14938 18495
((((((x + 1) mod (2 + 1)) * x) div (2 + 1)) + x) + 1)
A115274: 1 2 3 5 7 6 9 12 9 13 17 12 17 22 15 21
(((((x - 2) div (2 + 1)) * (x div (2 + 1))) + x) + 1)
A274583: 1 2 3 4 5 7 9 10 13 16 17 21 25 26 31 36
((((((2 + 2) * 2) * 2) - (x div (2 + 1))) * x) + 1)
A340000: 1 17 33 46
((((x + 1) * x) + 1) div (((x div (2 + 1)) + x) + 1))
A122797: 1 1 2 2 3 4 4 5 6 7 7 8 9 10 11 11
((((((x + 2) * 2) + 1) * ((x div 2) + 1)) + x) + 1)
A165717: 6 9 21 26 44 51 75 84 114 125 161 174 216 231 279 296
((((((((x + 2) + 2) * 2) + 1) * x) + 1) * x) + 1)
A274973: 1 13 55 139 277 481 763 1135 1609 2197 2911 3763 4765 5929 7267 8791
((2 + 2) mod (((((2 + 2) + 1) div (x + 1)) * x) + 1))
A178990: 0 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0
(((2 - (x - (((x * 2) * 2) * (x + 1)))) * x) + 1)
A056578: 1 10 49 142 313 586 985 1534 2257 3178 4321 5710 7369 9322 11593 14206
(((((x div 2) + 1) * (x div 2)) + ((x + 1) * x)) + 1)
A247643: 1 3 9 15 27 37 55 69 93 111 141 163 199 225 267 297
((((x * 2) * (x + 1)) + 1) * (((x + 1) * x) + 1))
A237516: 1 15 91 325 861 1891 3655 6441 10585 16471 24531 35245 49141 66795 88831 115921
(((((x * x) * x) + 1) * x) * (((x + 1) * x) + 1))
A228290: 0 6 126 1092 5460 19530 55986 137256 299592 597870 1111110 1948716 3257436 5229042 8108730 12204240
((((2 - x) + (2 + 1)) * 2) * (((x - 1) * x) + 1))
A147974: 10 8 18 28 26 0 ~62 ~172 ~342 ~584 ~910 ~1332 ~1862 ~2512 ~3294 ~4220
(((((x * 2) div (((2 + 1) * 2) + 1)) * 2) + x) + 1)
A276876: 1 2 3 4 7 8 9 12 13 14 15 18 19 20 23 24
((((x - (x div (((2 + 1) * 2) + 1))) div 2) + x) + 1)
A066344-A059549: 1 2 4 5 7 8 10 11 12 14 15 17 18 20 21 22
(x - (x mod (((x mod (((2 + 2) + 1) * 2)) - x) - 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A262038: 0 1 2 3 4 5 6 7 8 9 11 11 22 22 22 22
((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + x) + 1)
A343110-A247063-A032895-A032854: 1 2 3 4 5 6 8 9 10 11 12 13 16 17 18 19
(((((x mod ((x div 2) + 1)) div (2 + 1)) * 2) + x) + 1)
A181046: 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20
((((((x div (2 + 1)) + x) div (2 + 1)) * 2) + x) + 1)
A263881: 1 2 3 6 7 10 11
A276884: 1 2 3 6 7 10 11 14 15 18 19 20 23 24 27 28
(((((x div ((0 - 2) - 1)) mod (x + 1)) * 2) + x) + 1)
A082206: 1 4 7 10 11 14 17 18 21 24 25 28 31 32 35 38
(((((((x - 2) * x) - 1) * (x + 1)) - 2) * x) - 1)
A178617: ~1 ~7 ~11 17 131 409 953 1889 3367 5561 8669 12913 18539 25817 35041 46529
((((((x div 2) div (0 - 2)) mod (x + 1)) div 2) + x) + 1)
A288204-A276220: 1 2 4 5 7 8 9 11 12 14 15 16 18 19 20 22
((((((2 - x) div (2 + 2)) mod (x + 1)) div 2) + x) + 1)
A187909: 1 2 3 5 7 8 10 11 12 14 15 16 18 19 21 22
(((2 div (((2 + 2) * 2) - ((x - 1) div 2))) + x) + 1)
A272916-A254075-A232528-A140401: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 18
((((x - (x div ((2 + 2) * (0 - 2)))) div 2) + x) + 1)
A225647: 1 3 4 6 7
A329847-A286323-A059559: 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24
((((2 - x) div (2 - (x div ((0 - 2) - 2)))) + x) - 1)
A320847: 0 0 1 1 2 3 4 4 5 6 7 8 9 10 11 11
(((x * x) div (((((2 + 2) + 1) * 2) * 2) + x)) + 1)
A029099: 1 1 1 1 1 2 2 2 3 3 4 4 5 6 6 7
((x * 2) div ((((((2 + 2) + 1) * 2) * 2) - x) + 1))
A135585: 0 0 0 0 0 0 0 1 1 1 1 2 2 3 4 5
(((((((x + 1) div 2) div (2 + 1)) * 2) * 2) + x) + 1)
A261039: 1 2 3 4 5 10 11
A241213-A037473: 1 2 3 4 5 10 11 12 13 14 15 20 21 22 23 24
((((((2 - (x div 2)) mod (x + 1)) div 2) div 2) + x) + 1)
A192188: 1 2 3 4 5 6 8 9 10 12 13 14 15 16 17 18
(((((((x + 2) * (x + 1)) div 2) div 2) div 2) + x) + 1)
A186380: 1 2 4 6 8 11 14 17 20 23 27 31 35 40 45 50
(((((((x div 2) mod (2 + 2)) + 2) * 2) * 2) - x) + 1)
A004450: 9 8 11 10 13 12 15 14 1 0 3 2 5 4 7 6
((((x * x) div ((((2 + 2) * 2) * 2) * 2)) + x) + 1)
A184107: 1 2 3 4 5 6 8 9 11 12 14 15 17 19 21 23
(((x div ((((x div (2 + 2)) mod 2) + 2) + 2)) + x) + 1)
A344881: 1 2 3 4 5 7 8 9 11 12 13 14 15 16 17 19
(((((x - ((x div (2 + 2)) mod 2)) div 2) div 2) + x) + 1)
A039117: 1 2 3 4 5 7 8 9 11 12 13 14 15 17 18 19
(((((x - ((x div 2) mod (2 + 2))) div 2) div 2) + x) + 1)
A039119: 1 2 3 4 5 6 7 9 11 12 13 14 15 16 17 19
((((x - (x div (1 - ((2 + 2) * 2)))) div 2) + x) + 1)
A225647: 1 3 4 6 7
A330143-A330113-A329923-A292987-A206912-A187342: 1 3 4 6 7 9 10 12 14 15 17 18 20 21 23 25
(compr(\x.((x mod ((x mod 2) - ((2 + 2) * 2))) mod 2),x) + 1)
A325364-A133810: 1 2 3 4 5 6 7 8 9 11 13 15 16 17 18 19
(((x div 2) + 2) div (((((2 + 2) * 2) * 2) - x) + 1))
A332579: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4
(((((x + 2) * x) div (((2 + 2) * 2) * 2)) + x) + 1)
A184103: 1 2 3 4 6 8 10 11 14 16 18 20 23 26 29 31
(compr(\x.(((x - 1) mod ((x div (2 + 2)) + 2)) - 2),x) + 1)
A193159: 1 2 3 4 5 6 7 8 10 11 12 13 14 20 23 24
(((((x div 2) - ((x div (2 + 2)) mod 2)) div 2) + x) + 1)
A039118: 1 2 3 4 5 6 8 9 11 12 13 14 15 16 18 19
(((((x + 1) * x) - 1) div (((2 + 2) * 2) + x)) + 1)
A248958: 0 1 1 2 2 3 3 4 5 6 7 7 8 9 10 11
(((x * x) * (2 + 1)) div ((((2 + 2) * 2) + x) + 1))
A046654: 0 0 1 2 3 5 7 9 11 13 15 18 20 23 25 28
((x + 2) - ((x * x) div ((((2 + 2) * 2) + x) + 1)))
A200311: 2 3 4 5 5 6 6 6 7 7 7 7 8 8 8 8
((((((x + 2) + 1) * x) div ((2 + 2) * 2)) + x) + 1)
A186382: 1 2 4 6 8 11 13 16 20 23 27 31 35 40 44 49
(x - ((x + 1) mod (((x mod ((2 + 2) * 2)) - x) - 1)))
A171722: 0 1 2 3 4 5 6 7 8 17 17 17 17 17 17 17
((((x - (((x mod 2) - x) * (2 + 2))) * 2) + x) + 1)
A293698: 1 4 23 26 45 48 67 70 89 92 111 114 133 136 155 158
((((((x mod 2) + 2) + ((x * 2) * 2)) * 2) + x) + 1)
A225539: 5 16 23 34 41 52 59 70 77 88 95 106 113 124 131 142
((((((1 - x) mod (2 + 1)) + x) div (2 + 2)) + x) + 1)
A288992-A288168-A085007: 1 2 4 5 6 7 8 9 11 12 13 15 16 17 19 20
((((((x * x) div (2 + 1)) + x) div (2 + 2)) + x) + 1)
A186390: 1 2 3 5 7 9 11 13 16 19 21 24 28 31 34 38
(((x div (((2 + 2) * 2) - (x div (2 + 2)))) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A331119: 1 2 3 4 5 6 7 9 10 11 12 13 15 16 17 19
(((x * x) * 2) div ((((x * x) div (2 + 2)) + x) + 1))
A266082-A257569-A213711: 0 1 2 3 3 4 4 4 5 5 5 5 5 6 6 6
((((((x div 2) div (0 - 2)) mod (x + 2)) div 2) + x) + 1)
A289072: 1 2 4 6 7 9 10 11 13 14 15 17 18 20 21 22
((((((x * 2) * 2) * 2) div ((x + 2) + 2)) + x) + 1)
A215138: 1 3 5 7 9 10 11 13 14 15 16 17 19 20 21 22
(compr(\x.(2 - (((x * x) * x) mod ((x + 2) + 2))),x) + 1)
A058654: 3 4 6 7 8 9 11 12 14 15 16 17 18 19 20 21
((((((x div 2) * x) * 2) div ((x div 2) + 2)) + x) + 1)
A231408: 1 2 4 6 9
A265286: 1 2 4 6 9 11 14 16 19
A091626: 1 2 4 6 9 11 14 16 19 22 25 27 31 33 36 39
((((((x div 2) * x) div 2) div ((x div 2) + 2)) + x) + 1)
A248559: 1 2 3 4 6 7 8 10 11 13 14 15 17 18 20 21
((((((x * x) div (2 + 1)) + (x mod 2)) div 2) + x) + 1)
A069813: 1 2 3 6 7 10 13 16 19 24 27 32 37 42 47 54
((((x + 2) * (x + 2)) * (x + 2)) * ((2 - x) + 1))
A301575: 24 54 64
(((((x mod ((x div (2 + 1)) + 1)) + x) div 2) + x) + 1)
A189518-A189407: 1 2 4 6 7 9 10 12 14 15 17 19 20 22 24 25
((((((x * 2) div ((2 + 2) + 1)) + x) * 2) + x) + 1)
A276888-A237514: 1 4 7 12 15 20 23 26 31 34 39 42 45 50 53 58
(((((x div ((2 + 2) * (2 + 1))) + x) div 2) + x) + 1)
A213219: 1 2 4 5 7 8 10 11 13 14 16 17 19 21 22 24
((((((1 - (x div 2)) mod (2 + 1)) + x) * 2) + x) - 1)
A145265: 1 4 5 8 15 18 19 22 23 26 33 36 37 40 41 44
(((((((x mod 2) + x) div (2 + 1)) + x) * 2) + x) + 1)
A026360: 1 4 7 12 15 20 23 26 29 34 37 42 45 48 51 56
((((x * x) div (((x div (2 + 1)) + x) + 2)) + x) + 1)
A106829: 1 2 4 5 7 9 10 12 14 15 17 19 21 22 24 26
((((x * x) div ((((2 + 2) * 2) + x) + 2)) + x) + 1)
A225819: 1 2 3 4 6 7 9 10 12 14 16 17 19 21 23 25
((((x * x) div (((x div (2 + 2)) + x) + 2)) + x) + 1)
A093848: 1 2 4 5 7 9 11 12 14 16 18 20 21 23 25 27
(((((x + 1) * x) div 2) + 1) * (((x + 2) * x) + 1))
A092365: 1 8 36 112 275 576 1078 1856 2997 4600 6776 9648 13351 18032 23850 30976
(((((x + 2) * x) div 2) + 1) * (((x + 2) * x) + 1))
A210378: 1 8 45 128 325 648 1225 2048 3321 5000 7381 10368 14365 19208 25425 32768
((((x * 2) * 2) * (x + 1)) * (((x + 2) * x) + 1))
A160538: 0 32 216 768 2000 4320 8232 14336 23328 36000 53240 76032 105456 142688 189000 245760
((x - ((x * x) div (0 - 2))) * (((x + 2) * x) + 1))
A210379: 0 8 36 128 300 648 1176 2048 3240 5000 7260 10368 14196 19208 25200 32768
(((((x - 2) * x) + 1) div 2) * (((x + 2) * x) + 1))
A172517: 0 0 0 32 100 288 588 1152 1944 3200 4840 7200 10140 14112 18900 25088
((((((x div 2) + (x * 2)) + 2) * (x div 2)) + x) + 1)
A062317: 1 2 10 13 29 34 58 65 97 106 146 157 205 218 274 289
(((x * x) * 2) - ((((x div 2) * (x div 2)) + x) - 1))
A269706: 1 2 6 15 25 42
((x - ((x div (0 - 2)) - 1)) * (((x div 2) + x) + 1))
A102214: 1 6 16 30 49 72 100 132 169 210 256 306 361 420 484 552
((((x + 2) * (x + 1)) div 2) * (((x mod 2) + x) + 1))
A086500: 1 9 18 50 75 147 196 324 405 605 726 1014 1183 1575 1800 2312
((x + 1) div (2 - ((x - 2) mod (((x mod 2) - x) - 1))))
A161090: 0 1 1 1 1 1 1 2 1 2 2 3 2 3 3 4
((((x + 1) mod (((2 + 2) * 2) + 1)) + 1) * (x + 1))
A160938: 2 6 12 20 30 42 56 72 9 20 33 48 65 84 105 128
(((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) div (x + 1))
A033349: 29 14 9 7 5 4 4 3 3 2 2 2 2 2 1 1
(((((x + 1) * 2) * ((2 + 2) + 1)) + 1) * (x + 1))
A055437: 11 42 93 164 255 366 497 648 819 1010 1221 1452 1703 1974 2265 2576
(((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) div (x + 1))
A033361: 41 20 13 10 8 6 5 5 4 4 3 3 3 2 2 2
(((((2 + 2) * 2) * ((2 + 2) + 1)) - 1) div (x + 1))
A033359: 39 19 13 9 7 6 5 4 4 3 3 3 3 2 2 2
(((((x * x) * 2) div ((2 + 2) + 1)) - 1) mod (x + 1))
A194737: 0 1 0 2 0 3 6 2 6 1 6 11 4 10 2 9
(((((x + 1) * (2 + 1)) * (2 + 1)) + 1) * (x + 1))
A154517: 10 38 84 148 230 330 448 584 738 910 1100 1308 1534 1778 2040 2320
(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) div (x + 1))
A033357: 37 18 12 9 7 6 5 4 4 3 3 3 2 2 2 2
(((((2 + 2) * (2 + 1)) * (2 + 1)) - 1) div (x + 1))
A033355: 35 17 11 8 7 5 5 4 3 3 3 2 2 2 2 2
((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1))
A044138: 49 98 147 196 245 294 343 392 441 490 539 588 637 686 735 784
((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) div (x + 1))
A033369: 49 24 16 12 9 8 7 6 5 4 4 4 3 3 3 3
((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) div (x + 1))
A033367: 47 23 15 11 9 7 6 5 5 4 4 3 3 3 3 2
((((((x + 1) * x) div 2) * (2 + 1)) + 1) * (x + 1))
A100175: 1 8 30 76 155 276 448 680 981 1360 1826 2388 3055 3836 4740 5776
compr(\x.((x * 2) mod (((x div 2) div (2 + 1)) + 1)),(x + 1))
A083970: 1 2 3 4 5 6 7 8 9 10 11 12 15 18 20 22
((((((x * 2) + 1) * x) * (2 + 1)) + 1) * (x + 1))
A169711: 1 20 93 256 545 996 1645 2528 3681 5140 6941 9120 11713 14756 18285 22336
(((((x div 2) + 2) * (x div (2 + 1))) + 1) div (x + 1))
A025832: 1 0 0 1 1 0 1 1 1 1 2 1 2 2 2 2
(((((x + 2) * x) * ((x + 2) + 1)) + 1) * (x + 1))
A183066: 1 26 123 364 845 1686 3031 5048 7929 11890 17171 24036 32773 43694 57135 73456
((((((2 + 2) * 2) * 2) * (x + 1)) + 1) * (x + 1))
A157474: 17 66 147 260 405 582 791 1032 1305 1610 1947 2316 2717 3150 3615 4112
((((((2 + 2) * 2) * 2) * (x + 1)) - 1) * (x + 1))
A157446: 15 62 141 252 395 570 777 1016 1287 1590 1925 2292 2691 3122 3585 4080
(1 - ((x * x) div ((x div ((0 - 2) - 1)) - (x + 1))))
A247784-A138466: 1 2 2 3 4 5 5 6 7 8 8 9 10 10 11 12
((x - ((((x - 1) div (2 + 1)) * 2) + 1)) * (x + 1))
A229598: 1 0 3 8 5 12 21 16 27 40 33 48 65 56 75 96
((((((x mod 2) - x) div (2 + 1)) * 2) + 1) mod (x + 1))
A282701: 0 1 2 3 2 3 4 5 4 5 4 5 6 7 6 7
((((((x div (2 + 2)) + x) + 1) div 2) + 1) * (x + 1))
A231407: 1 4 6
A019445: 1 4 6 12 20 24 35 40 54 70 77 96 117 126 150 160
(((((x div (2 + 2)) * (x + 1)) mod 2) + 1) * (x + 1))
A111619: 1 2 3 4 10 6 14 8 9 10 11 12 26 14 30 16
((((x mod (((2 + 2) + 1) * 2)) * 2) + 1) mod (x + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A264600-A259043-A138470-A061486: 0 1 2 3 4 5 6 7 8 9 1 3 5 7 9 11
(((((((2 + 2) * 2) * 2) * 2) * 2) + 1) div (x + 1))
A033385: 65 32 21 16 13 10 9 8 7 6 5 5 5 4 4 4
(((((((2 + 2) * 2) * 2) * 2) * 2) - 1) div (x + 1))
A033383: 63 31 21 15 12 10 9 7 7 6 5 5 4 4 4 3
compr(\x.(x mod (((((x mod 2) * 2) * 2) * 2) + 1)),(x + 1))
A118672: 2 4 6 8 9 10 12 14 16 18 20 22 24 26 27 28
((((((x + 2) * x) div (2 + 2)) * 2) + 1) * (x + 1))
A212975: 1 2 15 28 65 102 175 248 369 490 671 852 1105 1358 1695 2032
(((((((x div 2) * x) mod 2) * 2) * 2) + 1) mod (x + 1))
A293235: 0 1 1 1 1 1 1 5 1 1 1 5 1 1 1 5
((((((x * x) - (x div 2)) * 2) * 2) + 1) div (x + 1))
A222011: 1 2 4 8
A086790: 1 2 4 8 11 15 19 23 26 30 34 38 42 46 50 54
(((((2 + 2) * 2) + 1) * ((2 + 2) + 1)) div (x + 1))
A033365: 45 22 15 11 9 7 6 5 5 4 4 3 3 3 3 2
((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) div (x + 1))
A033380: 60 30 20 15 12 10 8 7 6 6 5 5 4 4 4 3
(((((2 + 2) + 1) * 2) * ((2 + 2) + 1)) div (x + 1))
A033370: 50 25 16 12 10 8 7 6 5 5 4 4 3 3 3 3
((((2 - (x * x)) * 2) div ((2 + 2) + 1)) mod (x + 1))
A194735: 0 0 2 1 4 2 0 5 2 8 4 0 8 3 12 6
((((x * x) + 1) mod (((x + 2) + 2) + 1)) div (x + 1))
A266298: 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0
((((x - 1) * x) mod (((x + 2) + 2) + 1)) div (x + 1))
A092575: 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0
((((((2 + 2) * 2) * 2) + 1) * (2 + 1)) div (x + 1))
A033371: 51 25 17 12 10 8 7 6 5 5 4 4 3 3 3 3
(((((2 + 1) * 2) * (2 + 1)) * (2 + 1)) div (x + 1))
A033374: 54 27 18 13 10 9 7 6 6 5 4 4 4 3 3 3
(((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) div (x + 1))
A033392: 72 36 24 18 14 12 10 9 8 7 6 6 5 5 4 4
((((((2 + 2) * 2) * 2) * 2) * (2 + 1)) div (x + 1))
A033416: 96 48 32 24 19 16 13 12 10 9 8 8 7 6 6 6
((((((x + 2) + 2) + 2) * (x + 2)) + 1) * (x + 1))
A226514: 13 44 99 184 305 468 679 944 1269 1660 2123 2664 3289 4004 4815 5728
((((((2 + 2) * (x + 1)) + x) * x) + 1) * (x + 1))
A027849: 1 20 87 232 485 876 1435 2192 3177 4420 5951 7800 9997 12572 15555 18976
(x - ((((2 - x) * x) * ((x * x) + 1)) * (x + 1)))
A152017: 0 ~3 2 123 684 2345 6222 14007 28088 51669 88890 144947 226212 340353 496454 705135
(((x mod 2) - (((x + 2) * x) div (0 - 2))) * (x + 1))
A212976: 0 6 12 36 60 114 168 264 360 510 660 876 1092 1386 1680 2064
((((x + 2) + 2) - ((x * x) div (0 - 2))) * (x + 1))
A192797: 4 12 24 48 80 132 196 288 396 540 704 912 1144 1428 1740 2112
((((((2 + 2) * 2) * (2 + 1)) - 1) * 2) div (x + 1))
A033366: 46 23 15 11 9 7 6 5 5 4 4 3 3 3 3 2
(((x mod (((2 + 2) * (2 + 1)) - 1)) + 2) mod (x + 1))
A214949: 0 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6
((((((x + 1) * x) * (2 + 1)) + 1) * 2) * (x + 1))
A213829: 2 28 114 296 610 1092 1778 2704 3906 5420 7282 9528 12194 15316 18930 23072
(((x mod 2) - (((x div (2 + 1)) + 1) * 2)) mod (x + 1))
A063195: 0 1 1 1 1 3 1 3 3 3 3 5 3 5 5 5
((((((2 + 2) * 2) * (x + 1)) + 1) * 2) * (x + 1))
A158056: 18 68 150 264 410 588 798 1040 1314 1620 1958 2328 2730 3164 3630 4128
((((((2 + 2) * 2) * (x + 1)) - 1) * 2) * (x + 1))
A158058: 14 60 138 248 390 564 770 1008 1278 1580 1914 2280 2678 3108 3570 4064
((((((x + 2) + 2) * (x + 1)) - 1) * 2) * (x + 1))
A086113: 6 36 102 216 390 636 966 1392 1926 2580 3366 4296 5382 6636 8070 9696
(((((((2 + 2) * 2) * 2) * 2) + 1) * 2) div (x + 1))
A033386: 66 33 22 16 13 11 9 8 7 6 6 5 5 4 4 4
(((((((2 + 2) * 2) * 2) * 2) - 1) * 2) div (x + 1))
A033382: 62 31 20 15 12 10 8 7 6 6 5 5 4 4 4 3
(((((1 - x) * 2) div ((2 + 2) + 1)) * 2) mod (x + 1))
A086520: 0 0 1 2 1 2 3 2 3 2 3 4 3 4 3 4
(((((x + 2) * (x + 1)) * (2 + 1)) + 2) * (x + 1))
A143943: 8 40 114 248 460 768 1190 1744 2448 3320 4378 5640 7124 8848 10830 13088
((((((2 + 1) * x) + 2) * (x + 1)) div 2) * (x + 1))
A050509: 1 10 36 88 175 306 490 736 1053 1450 1936 2520 3211 4018 4950 6016
((((((x + 2) + 2) * x) * (x + 1)) div 2) * (x + 1))
A292058: 0 10 54 168 400 810 1470 2464 3888 5850 8470 11880 16224 21658 28350 36480
((((((x + 2) * 2) + x) * (x + 1)) div 2) * (x + 1))
A036659: 2 14 45 104 200 342 539 800 1134 1550 2057 2664 3380 4214 5175 6272
(((((x * x) * (x * x)) * (x + 1)) div 2) * (x + 1))
A163274: 0 2 72 648 3200 11250 31752 76832 165888 328050 605000 1054152 1752192 2798978 4321800 6480000
((((((2 + 2) * (2 + 1)) + 1) * 2) * 2) div (x + 1))
A033372: 52 26 17 13 10 8 7 6 5 5 4 4 4 3 3 3
((((((2 + 2) * (2 + 1)) + 1) * 2) * 2) mod (x + 1))
A050514: 0 0 1 0 2 4 3 4 7 2 8 4 0 10 7 4
((((((2 + 2) * (2 + 1)) - 1) * 2) * 2) div (x + 1))
A033364: 44 22 14 11 8 7 6 5 4 4 4 3 3 3 2 2
(((((((2 + 2) * 2) * 2) + 1) * 2) * 2) div (x + 1))
A033388: 68 34 22 17 13 11 9 8 7 6 6 5 5 4 4 4
((((((x + 2) * x) + (2 + 1)) * 2) * 2) * (x + 1))
A292022: 12 48 132 288 540 912 1428 2112 2988 4080 5412 7008 8892 11088 13620 16512
((((1 - x) div ((x div (2 + 1)) + 2)) div 2) mod (x + 1))
A080331: 0 0 2 3 4 5 6 7 8 9 10 11 12 13 13 15
((1 - (x mod (((x div (0 - 2)) mod 2) + 2))) div (x + 1))
A128407: 1 0 ~1 0 0 ~1 0 0 0 0 0 0 0 0 ~1 0
(((((((2 + 1) * 2) + 1) * 2) * 2) * 2) div (x + 1))
A033376: 56 28 18 14 11 9 8 7 6 5 5 4 4 4 3 3
((((x - ((x mod (2 + 1)) div 2)) div 2) div 2) * (x + 1))
A294239: 0 0 0 0 5 6 7 8 9 20 22 24 39 42 45 48
((((x * x) * (x mod 2)) div ((2 + 2) * 2)) mod (x + 1))
A175677: 0 0 0 1 0 3 0 6 0 0 0 3 0 7 0 12
compr(\x.((x mod (2 + 2)) - (x div ((2 + 2) * 2))),(x + 1))
A078137: 4 8 9 12 13 16 17 18 20 21 22 24 25 26 27 28
(((x - (((x div 2) + x) div (2 + 2))) * 2) mod (x + 1))
A229878: 0 0 1 0 1 2
A060145: 0 0 1 0 1 2 1 2 1 2 3 2 3 4 3 4
(((1 - (x * x)) mod (((x + 2) + 2) + 2)) div (x + 1))
A296212-A078768: 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0
(((((x - 1) * x) mod ((x div 2) + 2)) mod 2) * (x + 1))
A280832: 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 16
((x div (((2 + 1) * 2) + 1)) + ((2 + 2) * (x + 1)))
A059532: 4 8 12 16 20 24 28 33 37 41 45 49 53 57 62 66
((x div ((2 + 2) * (2 + 1))) + ((2 + 2) * (x + 1)))
A329975: 4 8 12 16 20 24 28 32 36 40 44 48 53 57 61 65
((((x - 1) div 2) * (x div 2)) + ((2 + 2) * (x + 1)))
A036573: 4 8 12 17 22 28 34 41 48 56 64 73 82 92 102 113
((((((x * x) * x) + 1) * x) div (2 + 2)) mod (x + 1))
A077814: 0 0 1 1 0 1 3 2 0 2 5 3 0 3 7 4
((2 + 2) - ((2 - (x - (x div (2 + 2)))) * (x + 1)))
A085620-A085619: 2 2 4 8 9 16
compr(\x.(((((x div 2) div (2 + 1)) + x) div 2) mod 2),(x + 1))
A005556: 1 4 5 7 8 11
A120753: 1 4 5 7 8 11 14 15 18 21 22 24 25 28 29 31
compr(\x.((((x div ((2 + 2) * 2)) + x) div 2) mod 2),(x + 1))
A190860: 1 4 5 8 11 12 15 18 19 22 23 25 26 29 30 32
compr(\x.(x mod ((((x div (2 + 2)) * x) mod 2) + 2)),(x + 1))
A280877: 2 4 6 8 10 12 14 15 16 18 20 21 22 24 26 28
(((1 mod (1 - (x * 2))) mod ((x + 2) + 2)) div (x + 1))
A174875: 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0
(((x div 2) - (x mod (2 - ((x div 2) mod 2)))) mod (x + 1))
A116921: 0 1 1 1 2 1 3 3 4 3 5 5 6 5 7 7
((2 + 2) - ((x div ((2 + 2) * 2)) - (2 div (x + 1))))
A125089: 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3
((((x - ((x div 2) mod 2)) div 2) + x) + (2 mod (x + 1)))
A141468: 0 1 4 6 8 9 10 12 14 15 16 18 20 21 22 24
((((((2 + 2) * (x + 1)) - 1) * x) * 2) * (x + 1))
A192796: 0 28 132 360 760 1380 2268 3472 5040 7020 9460 12408 15912 20020 24780 30240
((((((2 + 2) * 2) * (x + 1)) + x) * 2) * (x + 1))
A178574: 16 68 156 280 440 636 868 1136 1440 1780 2156 2568 3016 3500 4020 4576
(2 - (((((x div (0 - 2)) - 2) * x) * 2) * (x + 1)))
A216528: 2 14 38 98
(x - ((((x * x) div 2) * ((2 - x) div 2)) div (x + 1)))
A145801: 0 1 2 4 6 9 12 16 19 25 29 36
((((x - 1) * x) mod (x - ((2 - x) div 2))) div (x + 1))
A037821: 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0
(((1 - (x * x)) div (x - ((2 - x) div 2))) mod (x + 1))
A091226: 0 0 1 2 2 2 2 3 3 3 3 4 4 5 5 5
(((((((x + 2) + 1) * x) - 2) * x) div 2) * (x + 1))
A172225: 0 2 24 96 260 570 1092 1904 3096 4770 7040 10032 13884 18746 24780 32160
((((((x * x) * 2) + (x div 2)) * x) * 2) div (x + 1))
A211623: 0 2 12 28 54 86 128 176 234 298 372 452 542 638 744 856
(x - ((((x * x) * (x - 2)) div (x + 2)) div (x + 1)))
A079243: 0 2 2 3
A130249: 0 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5
(((x mod (((2 + 2) + 1) * 2)) - (x div 2)) mod (x + 1))
A279766: 0 1 1 2 2 3 3 4 4 5 6 8 9 11 12 14
(x - (((((x div 2) + 2) + 2) * (x div 2)) div (x + 1)))
A211275: 0 1 1 2 2 3 3 5 5 6 6 8 8 9 9 11
(((((2 - x) div 2) mod (2 + 2)) - (x mod 2)) div (x + 1))
A291147: 1 ~1 0 0 0 0 0 0 0 ~1 0 0 0 0 0 0
((((x + 2) * x) + 2) div (((x * x) + 2) div (x + 1)))
A003861: 1 5 5 8 8 9 10
((((((2 + 1) * 2) * (2 + 1)) + 1) * x) * (x + 1))
A173309: 0 38 114 228 380 570 798 1064 1368 1710 2090 2508 2964 3458 3990 4560
((((2 - x) + (2 + 2)) * ((x - 1) * x)) + (x + 1))
A161708: 1 2 11 22 29 26 7 ~34 ~103 ~206 ~349 ~538 ~779 ~1078 ~1441 ~1874
((((((x + 1) * x) * (2 + 1)) + 2) * x) * (x + 1))
A248621: 0 16 120 456 1240 2760 5376 9520 15696 24480 36520 52536 73320 99736 132720 173280
(x - (((x * 2) mod (((2 + 2) * 2) + x)) mod (x + 1)))
A048762: 0 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8
((((((x + 2) div (2 + 1)) + 1) * x) * x) div (x + 1))
A219114: 0 1 2 4 9 12 15 24
((((x + 1) * x) mod ((x mod (2 + 2)) + 1)) * (x - 1))
A160145: 0 0 0 0 0 0 0 0 0 0 18 0 0 0 0 0
(2 - ((1 - (((2 + 1) * x) * (2 + 1))) * (x - 1)))
A154262: 3 2 19 54 107 178 267 374 499 642 803 982 1179 1394 1627 1878
(((((((x div 2) mod 2) + 2) + 1) * 2) * 2) - (x - 1))
A004454: 13 12 15 14 9 8 11 10 5 4 7 6 1 0 3 2
(((((((x + 2) + 2) + 1) * x) + 2) * x) * (x - 1))
A035286: 0 0 32 156 456 1040 2040 3612 5936 9216 13680 19580 27192 36816 48776 63420
(((((x * x) * x) + 1) * x) * ((x * x) * (x - 1)))
A037251: 0 0 72 1512 12480 63000 234360 707952 1838592 4257360 9009000 17728920 32864832 57948072 97919640 159516000
((((x * x) * x) * (x * x)) * ((x * x) * (x - 1)))
A240931: 0 0 128 4374 49152 312500 1399680 4941258 14680064 38263752 90000000 194871710 394149888 752982204 1370375552 2392031250
((((1 - (x div 2)) div (2 + 1)) - 2) mod ((x * x) + 1))
A140479: 0 0 3 8 14 23 34 47 62 79 97 118 141 166 193 222
((((((x div 2) + 2) * 2) * 2) - x) * ((x * x) + 1))
A218555: 8 14 50 90
((((((x * x) + 1) * x) - 1) * x) * ((x * x) - 1))
A218130: 0 0 54 696 4020 15480 46410 117264 261576 530640 998910 1770120 2984124 4824456 7526610 11387040
(((x * 2) * 2) - ((((x - 1) div 2) div 2) div (0 - 2)))
A198272: 0 4 8 12 16 21 25 29 33 37 41 45 49 54 58 62
(x - (((x - ((x div (2 + 2)) mod 2)) div 2) div (0 - 2)))
A039133: 0 1 3 4 5 6 7 9 10 11 13 14 15 16 17 19
(x - (((x - ((x div 2) mod (2 + 2))) div 2) div (0 - 2)))
A138083: 0 1 2 4 5 6
A039140: 0 1 2 4 5 6 7 8 10 11 12 14 15 16 17 18
(((x + 2) + 1) div (2 - (x div ((2 + 2) * (0 - 2)))))
A186188: 1 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4
(1 - ((2 - x) div (2 - (x div ((2 + 2) * (0 - 2))))))
A263270: 0 1 1 2 2 2 3 3 3 3 3 4 4 4 4 5
((((2 + 2) * 2) + x) - (x div ((2 + 2) * (0 - 2))))
A043697-A043624-A031953: 8 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25
((x mod 2) - ((x div (2 - ((x div 2) mod 2))) div (0 - 2)))
A173234: 0 1 1 3 1 2 3 5 2 3 5 7 3 4 7 9
(x - (((((x div (2 + 2)) mod 2) + x) div 2) div (0 - 2)))
A039131: 0 1 3 4 5 7 8 9 10 11 13 14 15 17 18 19
(x - ((((x div (2 + 2)) mod 2) + (x div 2)) div (0 - 2)))
A039130: 0 1 3 4 6 7 8 9 10 11 13 14 16 17 18 19
((x + 2) - ((1 - x) div (2 - ((x div 2) div (0 - 2)))))
A068938: 2 3 5 6 7 9 10 11 12 13 14 15 17 18 19 20
(2 - (((((x div (2 + 2)) + x) div 2) + x) div (0 - 2)))
A280471: 2 3 4 4 5 6 7 8 9 9 10 11 12 13 13 14
((2 + 2) - ((((2 + 1) * 2) + 1) * (x div (0 - 2))))
A168212: 4 11 11 18 18 25 25 32 32 39 39 46 46 53 53 60
(((((x div (2 + 1)) + x) + 1) * 2) - (x div (0 - 2)))
A063217: 2 5 7 12 14 17 21 24 26 31 33 36 40 43 45 50
(((x * 2) * 2) div (((2 + 2) * 2) - (x div (0 - 2))))
A072749: 0 0 0 1 1 1 2 2 2 2 3 3 3 3 3 3
(((x + 2) * 2) - ((2 - x) div (2 - (x div (0 - 2)))))
A212451: 3 6 8 11 13 15 17 19 21 23 26 28 30 32 34 36
(((((x div 2) * x) mod 2) + x) + (2 - (x div (0 - 2))))
A085624: 2 4 5 8 8 10 11 14 14 16 17 20 20 22 23 26
((((((x mod 2) * 2) * 2) + x) * 2) - (x div (0 - 2)))
A168206: 0 11 5 16 10 21 15 26 20 31 25 36 30 41 35 46
(((x mod ((x div (((0 - 2) - 2) - 1)) - 1)) + 1) mod 2)
A275714: 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0
(((x mod (((1 - x) mod ((2 + 2) + 1)) + 1)) + 1) mod 2)
A267253-A261178: 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0
((x - ((2 div ((x div ((2 + 2) + 1)) + 1)) - 1)) mod 2)
A283963-A244220: 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0
(((x div (((x div (2 + 1)) mod (2 + 1)) + 1)) + 1) mod 2)
A266112: 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0
((((x div 2) div (((1 - x) mod (2 + 1)) + 1)) + 1) mod 2)
A127247: 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0
((((x * x) mod (((2 - x) * (2 + 1)) - 1)) + 1) mod 2)
A190224: 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0
(((((x + 1) * 2) mod ((x div (2 + 1)) + 1)) + 1) mod 2)
A118172-A071037: 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1
(((((x - 2) * x) mod ((x div (2 + 1)) + 1)) + 1) mod 2)
A342004: 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0
(((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) + 1) mod 2)
A294905-A192490-A080339: 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0
(((x mod (((x * x) mod ((x div 2) + 1)) + 1)) + 1) mod 2)
A297086: 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0
((((x * 2) mod (2 - (x div ((0 - 2) - 1)))) + 1) mod 2)
A103583: 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1
((x - ((x mod (2 - (x div ((0 - 2) - 1)))) - 1)) mod 2)
A342005: 1 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1
((x div ((x mod ((2 - (x div (0 - 2))) + 1)) + 1)) mod 2)
A087187: 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1
(((x div ((((x mod (2 + 2)) - 1) * 2) - 1)) + 1) mod 2)
A162549: 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0
(((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1) mod 2)
A266300: 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0
(((x div (((x - 1) mod ((2 + 1) * 2)) + 1)) + 1) mod 2)
A029445: 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0
(((((x + 1) * 2) div (((2 + 1) * 2) + 1)) + 1) mod 2)
A284512: 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1
(((x + 1) div ((x div (((2 + 1) * 2) + 1)) + 1)) mod 2)
A189169: 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1
(((x div 2) div ((x mod (((2 + 1) * 2) + 1)) + 1)) mod 2)
A011717: 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1
((((x + 1) div ((x mod ((2 + 1) * 2)) + 1)) + 1) mod 2)
A011705: 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1
(((x mod ((x - (((x div 2) - 1) div 2)) + 1)) + 1) mod 2)
A179761: 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1
(((((x * x) * 2) mod (((x + 1) div 2) + 1)) + 1) mod 2)
A127236: 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1
((x - (((x div 2) div (((0 - 2) - 2) - 1)) - 1)) * 2)
A133012: 2 4 8 10 12 14 16 18 20 22 24 26 30 32 34 36
(((x div (((((x mod 2) - 2) * 2) * 2) - 1)) + 1) mod 2)
A029439: 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0
(((((x + 2) + 2) mod (((2 + 2) * 2) + 1)) + 1) mod 2)
A287722-A284588-A177990: 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0
((x div (((2 - x) mod (((2 + 2) * 2) + 1)) + 1)) mod 2)
A011677: 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0
(((x - 1) mod ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2)
A340607: 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0
(((x div ((((1 - x) mod (2 + 2)) * 2) + 1)) + 1) mod 2)
A082960: 1 0 1 1 0 0 1 0 1
A156258: 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0
((((x + 1) mod (((x mod (2 + 2)) * 2) + 1)) + 1) mod 2)
A323000: 1 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1
((((x * x) div ((((x div 2) * 2) * 2) - 1)) + 1) div 2)
A294107: 0 0 1 2 1 2 2 2 2 3 3 3 3 4 4 4
((x - ((x div ((((x div 2) mod 2) + 2) + 1)) + 1)) mod 2)
A039983: 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1
(((x div ((x mod (((x mod 2) + 2) + 2)) + 1)) + 1) mod 2)
A011750: 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0
((x - ((x div (((x + 2) mod (2 + 2)) + 1)) + 1)) mod 2)
A267635: 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1
((x - (2 div (((x + 1) div ((2 + 2) + 1)) + 1))) mod 2)
A286665-A284533: 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1
(((x div (((x mod 2) - 2) * ((2 + 2) + 1))) + 1) mod 2)
A025914: 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0
((x - ((((1 - x) * 2) div ((2 + 2) + 1)) - 1)) * 2)
A286909-A189792: 2 4 8 10 14 16 18 22 24 28 30 32 36 38 42 44
(((x - 1) mod (((x - 2) mod ((2 + 2) + 1)) + 1)) div 2)
A280912-A280287-A280285: 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1
((x + 2) mod ((((x * 2) div ((2 + 2) + 1)) + 1) * 2))
A012265: 0 1 0 1 2 1 2 3 2 3 2 3 4 3 4 3
(x - ((2 - (2 div ((x div ((2 + 2) + 1)) + 1))) * 2))
A322290: 0 1 2 3 4 3 4 5 6 7 6 7 8 9 10 11
(2 - ((x - (2 div ((x div ((2 + 2) + 1)) + 1))) mod 2))
A080763: 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 1
(((((x + 2) * 2) - (x mod ((2 + 2) + 1))) + 1) * 2)
A179083-A007958: 10 12 14 16 18 30 32 34 36 38 50 52 54 56 58 70
((((x * 2) - 1) mod ((x mod ((2 + 2) + 1)) + 1)) div 2)
A001899: 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0
((((2 + 1) * x) mod ((x mod ((2 + 2) + 1)) + 1)) div 2)
A116375: 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0
((((x + 1) div (((2 - x) mod (2 + 2)) + 1)) + 1) mod 2)
A105165: 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1
(((((0 - x) - 1) mod ((x div (2 + 2)) + 1)) + 1) div 2)
A019269: 0 0 0 0 1 0 1 0 0 1 1 0 2 1 1 0
((x div (((1 - x) mod ((x div (2 + 2)) + 1)) + 1)) mod 2)
A115516: 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1
(((((x * x) + 2) div (((x + 2) + 2) + 1)) + 1) mod 2)
A275737: 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0
(((((x * x) + 2) mod (((x * 2) * 2) + 1)) + 1) mod 2)
A335392: 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1
(((((x * x) * x) div (((x div 2) * 2) - 1)) + 1) mod 2)
A291904: 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0
(((x mod (2 - (x div (((x div 2) mod 2) + 1)))) + 1) mod 2)
A345064-A344885-A328958-A325964-A324290-A160804-A010055: 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1
((x - (((2 - x) div (((x mod 2) + 2) + 1)) - 1)) div 2)
A194640: 0 1 1 2 3 3 4 5 5 6 7 7 8 8 9 10
(((x + 1) div ((x div (((x mod 2) + 2) + 1)) + 1)) mod 2)
A127829-A124788-A089198-A059607: 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0
((((x div 2) div ((x mod ((x mod 2) + 2)) + 1)) + 1) mod 2)
A073784: 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0
((x div (((x div 2) div (((x mod 2) * 2) + 1)) + 1)) mod 2)
A252372: 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1
((((x - (x div ((0 - 2) - 1))) div (2 + 1)) + 1) mod 2)
A286749: 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1
((x mod ((((x - 2) div (2 + 1)) mod (2 + 1)) + 1)) mod 2)
A117943: 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1
(((1 - x) div (((x mod (2 + 1)) * (2 + 1)) - 1)) mod 2)
A266754: 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0
(((((x - 1) mod ((x div 2) + 1)) mod (2 + 1)) + 1) mod 2)
A131377: 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1
((((x - (2 mod ((x div 2) + 1))) mod (2 + 1)) + 1) mod 2)
A285430: 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0
(((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) + 1) mod 2)
A167021: 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 1
((((x * x) mod (((x div 2) + 1) * (2 + 1))) + 1) mod 2)
A266282: 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 0
((x div ((0 - (((x div 2) + 1) mod (2 + 1))) - 1)) mod 2)
A189723: 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1
(2 - ((x - (x div (((x + 1) mod (2 + 1)) + 1))) mod 2))
A049710: 2 1 2 2 1 2 1 1 2 1 1 2 2 1 2 2
((x div (((((x - 1) div 2) div 2) * (2 + 1)) - 1)) mod 2)
A309752: 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1
((x * x) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A070468: 0 1 4 9 16 25 36 3 18 35 8 29 6 31 12 41
(((x div ((x div ((2 + 2) * 2)) - (2 + 1))) - 1) mod 2)
A303561: 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1
((((x div (((x div 2) mod 2) - 2)) mod (2 + 1)) + 1) mod 2)
A285414: 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1
(((x div ((((x mod 2) - 2) * 2) * (2 + 1))) + 1) mod 2)
A025913: 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0
(((x * x) * x) mod ((((2 + 2) * (2 + 1)) + 1) * 2))
A070488: 0 1 8 1 12 21 8 5 18 1 12 5 12 13 14 21
(((x * x) * x) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A070484: 0 1 8 5 20 15 18 13 6 3 10 11 12 19 16 9
(x - ((((2 - x) div ((2 + 2) * (2 + 1))) - 1) * 2))
A241783: 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 21
(((x - 2) div (((x mod (2 + 2)) * (2 + 1)) + 1)) mod 2)
A031233: 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1
((((x * x) div (((x + 2) * 2) div (2 + 1))) + 1) mod 2)
A131309: 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1
(((x + 1) div ((((x div 2) * 2) mod (2 + 1)) + 1)) mod 2)
A127245: 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1
(((x * x) - ((((x div 2) mod 2) * (2 + 1)) - 1)) div 2)
A187093: 0 1 1 3 8 13 17 23 32 41 49 59 72 85 97 111
(((((((x div 2) mod 2) - x) div 2) mod (2 + 1)) + 1) mod 2)
A290808: 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1
((x - ((x - 1) mod (((x + 2) div (2 + 1)) + 1))) mod 2)
A288858: 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1
(((x div 2) - (x mod (((x + 2) div (2 + 1)) + 1))) mod 2)
A285255: 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0
((((x div 2) * x) mod (((x * 2) * (2 + 1)) + 1)) mod 2)
A275855-A270573-A268310-A144602: 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0
((((2 + 1) * x) mod (((x * 2) div (2 + 1)) + 1)) mod 2)
A321013: 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1
((((x - 1) * x) div (((x * 2) div (2 + 1)) + 1)) mod 2)
A288520: 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1
((x - ((x * x) mod (((x div 2) * (2 + 1)) + 1))) mod 2)
A062103: 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0
((((x * x) + 1) div (((x div 2) div (2 + 1)) + 1)) mod 2)
A004569: 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1
((((x * x) div 2) mod (((x div 2) div (2 + 1)) + 1)) * 2)
A224893: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2
(((x + 2) * x) mod ((((x div 2) div (2 + 1)) + 1) * 2))
A221170: 0 1 0 1 0 1 0 3 0 3 0 3 0 3 2 3
((((2 - x) div 2) div (((x div 2) mod (2 + 1)) + 1)) mod 2)
A072792: 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0
((x - ((1 - x) div (((x div 2) mod (2 + 1)) + 1))) mod 2)
A267866: 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0
((x mod ((((2 - x) * (x div 2)) div (2 + 1)) - 1)) mod 2)
A337475: 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1
(((((x div ((2 + 2) + 1)) - x) mod (2 + 1)) + 1) mod 2)
A188090: 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1
((((((x div 2) div (2 + 1)) - x) mod (2 + 1)) + 1) mod 2)
A175480: 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1
((x - ((x div (2 - ((1 - x) div (2 + 1)))) + 1)) mod 2)
A026920: 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0
((0 - ((x div 2) mod (((1 - x) div (2 + 1)) - 1))) div 2)
A248327: 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 2
((2 - ((x div 2) mod (((1 - x) div (2 + 1)) - 1))) div 2)
A226273: 1 1 1 1 1 1 1 1 1 1 2 1 3 3 3 3
((((x mod 2) + x) mod (((1 - x) div (2 + 1)) - 1)) mod 2)
A011715: 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0
((((x div 2) + 2) div (((1 - x) mod (2 + 1)) + 1)) mod 2)
A249866: 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0
(((((((x div 2) + 1) div 2) * x) div (2 + 1)) + 1) mod 2)
A195053: 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1
((((x * x) * x) mod (((2 - x) div (2 + 1)) - 1)) mod 2)
A174898: 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1
(((2 - x) mod ((((x div 2) * x) div (2 + 1)) + 1)) div 2)
A257594: 0 0 0 0 0 0 1 1 2 3 4 5 7 8 10
A034154: 0 0 0 0 0 0 1 1 2 3 4 5 7 8 10 11
((x mod (x - ((((x div 2) * x) mod (2 + 1)) - 1))) mod 2)
A261013: 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1
(((x * 2) mod ((((x mod 2) - x) div (2 + 1)) - 1)) mod 2)
A238012-A080343: 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0
((x - (((x div (0 - 2)) - (x div (2 + 1))) - 1)) * 2)
A063242: 2 6 8 14 16 20 24 28 30 36 38 42 46 50 52 58
(((((x + 2) * (x + 2)) + (x div (2 + 1))) + 1) div 2)
A027916: 2 5 8 13 19 25 33 42 51 62 74 86 100 115 130 147
(((((x - 2) * 2) - 1) mod ((x div (2 + 1)) + 1)) div 2)
A144764: 0 0 0 0 0 0 0 0 1 0 1 0 2 0 1 0
(((1 - x) div ((x + 1) div ((x div (2 + 1)) + 1))) mod 2)
A179762: 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1
((((x - (2 + 1)) * 2) div ((x div (2 + 1)) + 1)) mod 2)
A037879: 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0
(((((2 + 1) * x) + 2) div ((x div (2 + 1)) + 1)) mod 2)
A316832-A086747: 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1
(((((x div 2) * x) + 2) mod ((x div (2 + 1)) + 1)) mod 2)
A162641: 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1
(((((2 - x) div 2) - x) mod ((x div (2 + 1)) + 1)) div 2)
A011702: 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1
((((x + 1) * x) div (x - ((x div (2 + 1)) - 1))) + 2)
A188262: 2 3 4 6 7 8 10 11 12 14 15 16 19 20 21 23
((((x - 1) * x) div (x - ((x div (2 + 1)) - 1))) mod 2)
A122924: 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1
(((x * x) mod (((x * 2) - (x mod (2 + 1))) + 1)) mod 2)
A327974: 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0
(((((x - 1) div 2) div 2) mod ((x mod (2 + 1)) + 1)) mod 2)
A063100: 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0
((((x div (2 + 2)) + 2) mod ((x mod (2 + 1)) + 1)) mod 2)
A300372-A102082: 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0
((((x div (2 + 1)) - x) mod ((x mod (2 + 1)) + 1)) mod 2)
A156595: 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0
((x - ((x * x) mod (x - ((x mod (2 + 1)) - 1)))) div 2)
A194251: 0 0 1 1 2 2 2 3 3 4 5 5 5 6 6 7
(((x mod (0 - (((2 + 2) mod (x + 2)) + 1))) + 1) mod 2)
A166946: 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1
(((((x mod (2 + 2)) * x) div ((x + 2) + 1)) + 1) mod 2)
A128915: 1 1 1 0 1 1 0 1 1 1 0 1 1 1 0 1
((((((x + 2) * x) + 1) * ((x * 2) + 1)) + 1) * 2)
A100207: 4 26 92 226 452 794 1276 1922 2756 3802 5084 6626 8452 10586 13052 15874
((x - ((((2 + 1) * 2) div ((x div 2) + 1)) + 1)) mod 2)
A190198: 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0
(((((x mod (2 + 2)) * 2) div ((x div 2) + 1)) + 1) mod 2)
A118274: 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1
((((((x * 2) * 2) * 2) div ((x div 2) + 1)) + 1) mod 2)
A167020: 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0
((x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) mod 2)
A056980: 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0
(((x * 2) div (((x - 2) mod ((x div 2) + 1)) + 1)) mod 2)
A065719: 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1
((x div (((1 - (x * 2)) mod ((x div 2) + 1)) + 1)) mod 2)
A334812: 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1
((2 div ((((x * x) + 2) mod ((x div 2) + 1)) + 1)) mod 2)
A101349: 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0
((x + 1) mod (((x mod ((2 - (x mod 2)) + 1)) + 1) * 2))
A292603: 1 2 3 0 1 2 1 0 3 2 3 0 1 2 3 0
(((x * 2) div (((x div 2) div ((x mod 2) + 1)) + 1)) mod 2)
A070092: 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1
(((x div ((((x + 1) mod (2 + 1)) * x) - 1)) + 1) mod 2)
A286046: 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0
(((((x * x) * x) div (((2 + 1) * x) + 1)) + 1) mod 2)
A217206: 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0
(((((x mod ((2 + 2) + 1)) - 1) mod (x + 1)) + 1) mod 2)
A190191: 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0
((((((x * x) div (2 + 2)) + 1) mod (x + 1)) + 1) mod 2)
A316533-A085405: 1 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0
((x div (((((2 + 2) * 2) * 2) mod (x + 1)) + 1)) mod 2)
A130854: 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1
((((x * 2) + 1) div (((2 + 2) mod (x + 1)) + 1)) mod 2)
A157926: 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0
((((x * 2) - 1) div (((2 + 2) mod (x + 1)) + 1)) mod 2)
A129572: 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1
((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2)
A318502: 0 0 0 1 0 0 0 3 1 0 0 5 0 0 0 7
(((((x - (2 + 2)) * (x - 2)) div (x + 1)) + 1) mod 2)
A341346: 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 1
((((((x div 2) - 2) * (x div 2)) mod (x + 1)) + 1) mod 2)
A229062-A000161: 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0
(((((((x div 2) + x) * x) + 2) div (x + 1)) + 1) mod 2)
A135022: 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1
(((((((x * x) div 2) + 2) * x) div (x + 1)) + 1) div 2)
A303331: 0 1 1 2 4 6 9 11 15 19
(((x * x) div (x - (((x div 2) div (0 - 2)) - 1))) + 2)
A086861: 2 2 3 3 4 5 6 6 7 8 9 10 11 11 12 13
(((x + 2) mod (2 - ((x div 2) div ((0 - 2) - 1)))) div 2)
A001878: 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1
((x - ((2 - x) div (2 - (x mod ((0 - 2) - 1))))) mod 2)
A267418: 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0
((x - ((((x div (2 + 2)) + x) div (0 - 2)) - 1)) * 2)
A283233: 2 6 8 12 16 18 22 24 28 32 34 38 42 44 48 50
((x mod (((2 - x) mod (2 - (x div (0 - 2)))) + 1)) mod 2)
A090171: 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1
(1 - ((((x - 2) * x) mod ((x div (0 - 2)) - 1)) mod 2))
A196251: 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0
((x mod (((((x div 2) mod (2 + 2)) + 1) * 2) + 1)) mod 2)
A172303: 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0
((x div ((((x - 1) div ((2 + 2) + 1)) * 2) + 1)) mod 2)
A112416: 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1
((((x + 1) div ((x div ((2 + 2) + 1)) + 2)) + 1) div 2)
A337788: 0 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2
((x mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 1)) div 2)
A036867-A036866: 0 0 0 0 0 1 0 0 0 0 2 1 0 0 1 3
(((x - 2) mod (((x mod ((2 + 2) + 1)) * 2) - 1)) div 2)
A269244: 0 0 0 0 1 0 0 1 0 0 0 0 0 0 2 0
((x mod ((0 - ((x mod ((2 + 2) + 1)) div 2)) - 1)) mod 2)
A086017: 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0
((x * x) mod ((((x mod ((2 + 2) + 1)) div 2) + 1) + 2))
A285351: 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0
((x div ((((x div (2 + 1)) mod (2 + 1)) + 2) + 1)) + 2)
A230775: 2 2 2 2 3 3 3 3 3 5 5 5 5 5 5 5
(((1 - x) mod ((((x - 1) mod (2 + 1)) + 2) + 1)) mod 2)
A266326: 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1
((((x - ((x div (0 - 2)) * (2 + 1))) * 2) + 1) * 2)
A322489: 2 18 22 38 42 58 62 78 82 98 102 118 122 138 142 158
((((x - ((x div (2 + 2)) * (2 + 1))) div 2) + 1) div 2)
A103610: 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 2
(x div ((2 mod ((((x - 2) div (2 + 1)) * 2) - 1)) + 2))
A344259: 0 1 1 1 2 2 3 3 2 2 2 2 3 3 3 3
((((x * x) div (((x div 2) * (2 + 1)) - 2)) + 1) mod 2)
A176724-A167371: 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0
(((1 - x) mod ((((x div 2) div (2 + 1)) + 2) + 1)) div 2)
A134404: 0 0 1 0 0 1 1 1 0 0 1 1 2 1 1 0
(((x + 1) mod ((((x div 2) mod (2 + 1)) + 2) + 1)) div 2)
A182582: 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 0
((((x * x) * (2 + 1)) mod (((2 + 1) * 2) + 1)) div 2)
A279316: 0 1 2 3 3 2 1 0 1 2 3 3 2 1 0 1
(x - ((((2 - x) + 1) div (((2 + 1) * 2) + 1)) * 2))
A060464-A039102: 0 1 2 3 6 7 8 9 10 11 12 15 16 17 18 19
(((x - (2 div (x + 1))) mod (((2 + 1) * 2) + 1)) mod 2)
A267598: 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1
(((((x + 1) * x) div 2) * (((2 + 1) * 2) + 1)) + 2)
A209294: 2 9 23 44 72 107 149 198 254 317 387 464 548 639 737 842
((((1 - x) * (x div 2)) div (((2 + 1) * 2) + 1)) mod 2)
A287125: 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0
((((x div 2) - (x mod 2)) mod (((2 + 1) * 2) + 1)) mod 2)
A286804-A188071: 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0
((((2 - (x * x)) div 2) mod (((2 + 1) * 2) + 1)) mod 2)
A178600: 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1
(((((x * x) * x) div 2) mod (((2 + 1) * 2) + 1)) mod 2)
A011681: 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0
(((x * x) * (x * x)) mod ((((2 + 1) * 2) + 1) * 2))
A070532: 0 1 2 11 4 9 8 7 8 9 4 11 2 1 0 1
(((((x div 2) + x) * x) div (((2 + 1) * 2) + 1)) mod 2)
A136036: 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1
(((x - 2) mod (((x * x) mod ((2 + 1) * 2)) + 1)) div 2)
A319995: 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0
((x - (x div ((((1 - x) mod (2 + 1)) + 2) + 1))) div 2)
A079440: 0 0 1 1 1 2 2 2 3 3 3 4 4 4 6 6
(((x - 2) mod ((((1 - x) mod (2 + 1)) * 2) + 1)) div 2)
A301989: 0 0 0 0 0 1 0 0 0 0 0 2 0 0 1 0
((((x + 2) + 2) mod (((x div (2 + 1)) * 2) + 1)) mod 2)
A330023-A093956: 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0
(((x div (0 - 2)) div (((x div (2 + 1)) mod 2) + 1)) mod 2)
A100656: 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0
((x mod ((((0 - 2) - (x mod (2 + 1))) * 2) - 1)) mod 2)
A078808: 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0
((((((x - 1) div 2) * (x mod (2 + 1))) div 2) + 1) mod 2)
A204177: 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1
((((((2 - x) div 2) * (x mod (2 + 1))) div 2) + 1) mod 2)
A135839-A071022: 1 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1
((((x + 1) div 2) mod (((x mod (2 + 1)) + 2) + 1)) mod 2)
A096493: 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0
((((((x div 2) * x) - (x mod (2 + 1))) div 2) + 1) mod 2)
A173894: 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 1
(((x div (2 - ((x - (x mod (2 + 1))) div 2))) + 1) mod 2)
A239393: 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0
((((((x + 2) * x) * ((x * 2) - 1)) div 2) + 1) div 2)
A212684: 0 1 6 19 42 79 132 205 300 421 570 751 966 1219 1512 1849
(((((x - (2 + 2)) mod ((x div 2) + 1)) div 2) + 1) mod 2)
A025449: 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0
(((x + 1) mod (((2 mod ((x div 2) + 1)) + 2) + 1)) mod 2)
A004641: 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1
((((x * x) div 2) mod ((((x div 2) + 1) div 2) + 1)) div 2)
A213902: 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1
(((1 - x) div (((x mod ((x div 2) + 1)) div 2) + 1)) mod 2)
A219180: 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0
(((x + 1) mod ((((2 - (x mod 2)) + 1) * 2) + 1)) mod 2)
A318962: 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1
(((x - 1) mod (((x div ((x mod 2) + 1)) + 2) + 1)) mod 2)
A131576-A096860: 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0
(((((((2 mod (x + 1)) + 1) * x) + 1) * 2) + 1) * 2)
A218553: 6 10 30 42
(((((x div ((0 - 2) - 1)) * (x + 1)) div 2) + 1) mod 2)
A267605: 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1
(((((x mod ((0 - 2) - 1)) mod (x + 1)) div 2) + 1) mod 2)
A142598: 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1
((x - ((x div (((2 + 1) mod (x + 1)) + 2)) + 1)) mod 2)
A309849: 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1
((((((2 - x) div (2 + 2)) mod (x + 1)) div 2) + 1) mod 2)
A116938: 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1
(((((x div ((x mod 2) + 2)) * (x + 1)) div 2) + 1) mod 2)
A190242: 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1
(((((x + 1) * x) + 1) * (((x + 1) * 2) + 1)) div 2)
A081436: 1 7 24 58 115 201 322 484 693 955 1276 1662 2119 2653 3270 3976
(((((x * x) + 2) * x) mod (((x + 1) * 2) + 1)) mod 2)
A246146: 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0
(((((x + 1) div 2) * x) * (((x + 1) div 2) + 1)) div 2)
A178312: 0 1 2 9 12 30 36 70 80 135 150 231 252 364 392 540
(((((2 + 2) * 2) - x) mod (((x + 1) div 2) + 1)) mod 2)
A284775: 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0
(2 - ((((x * x) + 2) mod (((x - 1) * 2) - 1)) mod 2))
A270644: 1 2 2 2 1 2 2 1 1 2 2 1 2 2 1 1
(((((x + 2) div (2 + 1)) * ((x - 1) div 2)) + 1) mod 2)
A132350: 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0
((x mod (((x div ((2 + 2) * (0 - 2))) * 2) - 1)) mod 2)
A289128-A024316: 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0
(((x div ((x mod ((2 + 2) * (0 - 2))) - 2)) - 1) mod 2)
A029426: 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0
(((x * 2) div (((x div 2) mod ((0 - 2) - 2)) - 1)) mod 2)
A271368: 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 1
((2 - ((x + 1) mod ((x div ((0 - 2) - 2)) - 1))) div 2)
A214018: 1 1 1 1 1 1 2 1 1 2 1 1 2 1 1 3
((x div (((((x - 1) mod (2 + 1)) + 2) + 2) + 1)) mod 2)
A011719: 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0
((x - (((((x div 2) * (2 + 1)) div 2) div 2) + 1)) mod 2)
A098033: 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1
((2 - (x div ((((x div (2 + 1)) mod 2) - 2) - 1))) div 2)
A210528: 1 1 1 2 2 2 2 2 2 3 3 4 3 3 3 5
(((x - 2) mod ((((x mod (2 + 1)) + 2) + 2) + 1)) mod 2)
A343999: 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1
(((x mod (1 - (((x mod (2 + 1)) + 2) * 2))) + 1) mod 2)
A226920: 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1
((x - ((((x - (x mod (2 + 1))) div 2) div 2) + 1)) mod 2)
A325897: 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 1
((x mod (((x mod (((x mod 2) + 1) * 2)) * 2) + 1)) div 2)
A093488: 0 0 0 1 0 1 0 0 0 0 0 2 0 0 0 0
((((2 - x) + 1) mod ((((x + 1) div 2) div 2) + 1)) mod 2)
A065717: 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1
((((x - 1) * 2) mod ((((x + 1) div 2) div 2) + 1)) div 2)
A267701: 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1
((((x + 1) * x) div ((((x + 1) div 2) div 2) + 1)) mod 2)
A037829: 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0
((((((x div (0 - 2)) * (x - 1)) div 2) div 2) + 1) mod 2)
A216513: 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1
((x - (x div (((x div ((0 - 2) - 2)) - 2) - 1))) mod 2)
A321396-A060510: 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0
((x div ((((((x div 2) - 1) div 2) mod 2) - 2) - 1)) mod 2)
A189718: 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0
((x div ((((((x + 1) div 2) div 2) mod 2) + 2) + 1)) mod 2)
A011663: 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1
(x - (((((((x div 2) mod 2) - 2) - 2) * 2) - 1) * 2))
A004459: 18 19 16 17 22 23 20 21 26 27 24 25 30 31 28 29
(((x div (((((x div 2) mod 2) - 2) * 2) * 2)) + 1) mod 2)
A025898: 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1
(((x div (((((x mod 2) - 2) * 2) * 2) - 2)) + 1) mod 2)
A029440: 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0
(((x * x) * x) mod (((((2 + 2) * 2) * 2) + 1) * 2))
A070496: 0 1 8 27 30 23 12 3 2 15 14 5 28 21 24 9
((1 - (x div (x - ((((2 + 2) * 2) * 2) + 1)))) div 2)
A316081: 0 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4
((x * 2) div ((x div ((((2 + 2) * 2) * 2) - 1)) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A124196: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 10
(((((1 - x) * x) div (((2 + 2) * 2) * 2)) + 1) mod 2)
A328100: 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 1
((((x - 2) mod ((x div ((2 + 2) * 2)) + 2)) + 1) mod 2)
A193497: 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0
(((x + 2) mod (((x mod ((2 + 2) * 2)) * 2) - 1)) mod 2)
A189628: 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0
((((x mod (((2 - x) div (2 + 2)) - 2)) div 2) + 1) mod 2)
A082960: 1 0 1 1 0 0 1 0 1
A341347-A137893: 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1
((((x * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod 2)
A337264: 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1
((2 - (x div ((((x div (2 + 2)) - 2) - 2) - 1))) div 2)
A218379-A025781: 1 1 1 1 1 2 2 2 2 2 3 3 4 4 4 5
(((x div 2) div ((((x mod (2 + 2)) + 2) * 2) + 1)) + 2)
A074594: 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2
(((2 - x) mod ((((x mod (2 + 2)) + 2) * 2) + 1)) mod 2)
A164349: 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1
((x mod (((x - ((x mod (2 + 2)) * 2)) * 2) - 1)) mod 2)
A289235: 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1
(((x mod (((x mod ((x div 2) + 2)) div 2) + 2)) + 1) mod 2)
A179758: 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1
(((x + 2) div (((((x div 2) mod 2) + 2) + 2) + 1)) mod 2)
A085137: 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0
(((x div ((x mod (((x div 2) mod 2) + 2)) + 2)) + 1) mod 2)
A329054-A051168: 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0
(((x mod (x - (((x + 1) mod (2 + 2)) + 2))) + 1) mod 2)
A289748: 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1
(((x - 2) div ((((x + 1) mod (2 + 2)) * 2) + 1)) mod 2)
A266459: 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1
((x mod (((((x div 2) + 2) mod (2 + 2)) * 2) + 1)) mod 2)
A101309: 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0
(((x - 2) mod ((((x + 2) mod (2 + 2)) * 2) + 1)) mod 2)
A266342: 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1
(((2 - x) div (((x + 1) mod ((2 + 2) * 2)) + 1)) mod 2)
A204435: 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1
((x mod (x - (((x + 2) mod ((2 + 2) * 2)) + 1))) mod 2)
A147645: 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0
(((((x + 1) * x) - 1) div (((2 + 2) * 2) + 1)) mod 2)
A238894: 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0
(x - ((((2 - x) + 1) div (((2 + 2) * 2) + 1)) * 2))
A039189: 0 1 2 3 6 7 8 9 10 11 12 13 14 17 18 19
(((((x - 2) * x) + 1) mod (((2 + 2) * 2) + 1)) mod 2)
A157423-A116663: 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1
(x - ((((x - 1) * 2) div (((2 + 2) * 2) + 1)) * 2))
A244789: 2 1 2 3 4 5 4 5 6 7 6 7 8 9 10 9
(((((x * x) div 2) * 2) div (((2 + 2) * 2) + 1)) mod 2)
A302231: 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0
(((((x + 1) * x) + 2) * (((2 + 2) * 2) + 1)) + 2)
A165442: 20 38 74
(((((x + 1) * x) div 2) * (((2 + 2) * 2) + 1)) + 2)
A062123: 2 11 29 56 92 137 191 254 326 407 497 596 704 821 947 1082
(((((x + 2) * x) * 2) mod (((2 + 2) * 2) + 1)) + 2)
A340536: 2 8 9 5 5 9 8 2 9 2 8 9 5 5 9 8
(((x mod 2) - ((x - 2) div (((2 + 2) * 2) + 1))) div 2)
A030217: 0 1 0 0 0 0 0 0 0 0 0 0 ~1 0 ~1 0
(((((x * x) + 1) * x) div (((2 + 2) * 2) + 1)) mod 2)
A287790: 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0
((((x - (2 + 2)) * x) mod (((2 + 2) * 2) + 1)) mod 2)
A189820: 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1
((((((x div 2) - 2) * x) div ((2 + 2) * 2)) + 1) mod 2)
A107740: 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0
(((x mod (2 - ((2 - x) div ((2 + 2) * 2)))) + 1) mod 2)
A174208: 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0
(((x * x) div (((2 - x) mod ((2 + 2) * 2)) + 1)) mod 2)
A102215: 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0
((x - ((2 - x) div ((x mod ((2 + 2) * 2)) + 1))) mod 2)
A288600: 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1
(((x + 2) div ((((1 - x) mod (2 + 2)) + 2) + 1)) mod 2)
A189301: 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1
(2 - ((x div ((((1 - x) mod (2 + 2)) * 2) + 1)) mod 2))
A156257-A074292: 2 1 2 2 1 1 2 1 2 1 1 2 2 1 2 1
(((x - 1) mod ((((2 - x) mod (2 + 2)) * 2) - 1)) div 2)
A108913: 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 2
((((x - (((x div 2) * x) div (2 + 2))) div 2) + 1) mod 2)
A280457: 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1
(((((x + 1) * 2) mod ((x div (2 + 2)) + 2)) + 1) mod 2)
A115954: 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1
((x - (((x + 2) div ((x div (2 + 2)) + 2)) + 1)) mod 2)
A048820: 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 2)
A177876: 2 3 3 4
A003057: 2 3 3 4 4 4 5 5 5 5 6 6 6 6 6 7
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2)
A279891: 0 2 2 4 4 4 6 6 6 6 8 8 8 8 8 10
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) mod 2)
A057212: 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1
((((x - 2) * 2) div (((x div (2 + 2)) + 2) + 1)) + 2)
A277903-A276571: 0 1 2 2 3 3 4 4 4 4 5 5 5 5 6 6
((((x - 2) * 2) div (((x div (2 + 2)) + 2) + 1)) mod 2)
A079944: 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0
((((0 - x) * 2) mod (((x div (2 + 2)) + 2) + 1)) div 2)
A068906: 0 0 1 0 0 1 0 1 2 1 0 1 0 2 1 0
(((((x mod 2) + x) div ((x div (2 + 2)) + 2)) + 1) div 2)
A300385: 0 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2
((x div ((((x div 2) - (x mod (2 + 2))) * 2) - 1)) mod 2)
A185204: 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0
((x - (x mod ((x mod ((x mod (2 + 2)) + 2)) + 1))) mod 2)
A235046: 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1
((((x * x) * x) mod (((x mod (2 + 2)) * 2) + 1)) mod 2)
A284901: 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1
((((x + 2) + 2) mod (((x mod (2 + 2)) * 2) - 1)) div 2)
A302721: 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 2
(((x - (((((x mod 2) - x) - 2) * 2) * 2)) - 1) * 2)
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((((2 - (x * x)) div (((x + 2) + 2) + 2)) + 1) mod 2)
A263919: 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0
((((((x - 1) * 2) mod ((x div 2) + 2)) div 2) + 1) mod 2)
A116929: 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1
((((2 + 1) * x) div ((((x div 2) + 2) + 2) + 1)) + 2)
A033810: 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5
(((x div 2) div ((x mod (((x div 2) + 2) + 2)) + 1)) mod 2)
A135133: 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1
(((x mod (((2 - x) mod ((x div 2) + 2)) + 2)) + 1) mod 2)
A267442: 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0
((((x - ((2 - x) mod ((x div 2) + 2))) div 2) + 1) mod 2)
A248396: 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0
(((((x mod 2) + x) mod (((x div 2) mod 2) + 2)) + 1) mod 2)
A129564-A089053: 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
((((x - (x div ((2 - (x mod 2)) + 2))) div 2) + 1) mod 2)
A190210: 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0
((x mod (((x - 1) mod (((x mod 2) + 2) + 2)) + 1)) + 2)
A179938: 2 2 2 2 2 2 2 3 2 3 2 2 2 3 2 2
((((x * 2) mod ((x div ((x mod 2) + 2)) + 2)) + 1) mod 2)
A265890-A255212-A143842: 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1
(((x div (2 + 1)) div ((((x mod 2) * 2) * 2) + 1)) mod 2)
A221152-A024944: 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1
(((x - 2) mod ((((x div 2) + 1) mod (2 + 2)) + 1)) div 2)
A265918: 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0
((x - ((x - 1) div (((x + 1) mod (2 + 2)) + 1))) mod 2)
A267621: 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1
((x div 2) div ((x div (((x + 1) mod (2 + 2)) + 1)) + 2))
A070106-A011675: 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0
(((x mod 2) * x) - ((((x + 1) mod (2 + 2)) - 1) div 2))
A003816: 0 1 ~1 4 0 5 ~1 8 0 9 ~1 12 0 13 ~1 16
(((x div (2 + 1)) div (((x + 2) mod (2 + 2)) + 1)) mod 2)
A011693: 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0
((((2 - x) + 1) div (((x + 2) mod (2 + 2)) + 1)) mod 2)
A245656: 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0
((x mod 2) - ((x div (((x + 2) mod (2 + 2)) + 1)) mod 2))
A258998: 0 1 0 0 ~1 0 0 0 0 1 0 0 0 0 0 0
(x - ((x - (x mod (((x + 2) mod (2 + 2)) + 1))) div 2))
A194171: 0 1 1 2 3 3 3 4 5 5 5 6 6 7 7 8
(((x + 2) div (((1 - (x div 2)) mod (2 + 2)) + 1)) mod 2)
A285599: 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1
((x - (x div (((1 - (x div 2)) mod (2 + 2)) + 1))) mod 2)
A257800: 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0
(1 - ((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) div 2))
A175608: 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0
((x mod (((((1 - x) * x) div 2) mod (2 + 2)) + 1)) div 2)
A289239: 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1
(((((x - 2) div (2 + 1)) - 1) mod ((2 + 2) + 1)) mod 2)
A292438: 1 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1
(((((x + 2) * (x + 1)) - 1) * ((2 + 2) + 1)) div 2)
A166151: 2 12 27 47 72 102 137 177 222 272 327 387 452 522 597 677
((((2 - (x mod (2 + 2))) + 1) * ((2 + 2) + 1)) div 2)
A071876: 7 5 2 0 7 5 2 0 7 5 2 0 7 5 2 0
((x - ((((x div 2) * 2) + 1) mod ((2 + 2) + 1))) mod 2)
A286752: 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1
(((x - 2) mod ((x div (2 + 1)) + ((2 + 2) + 1))) mod 2)
A328346: 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1
((((((x + 2) * x) div 2) + 1) div ((2 + 2) + 1)) mod 2)
A288729: 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1
((((x - 2) mod ((x div 2) + 1)) mod ((2 + 2) + 1)) mod 2)
A319660: 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0
((x - (2 - (((x div 2) + 1) * ((2 + 2) + 1)))) * 2)
A113806: 6 8 20 22 34 36 48 50 62 64 76 78 90 92 104 106
(((((x * x) + (x div 2)) + 1) mod ((2 + 2) + 1)) mod 2)
A260456: 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1
((1 div ((((x * x) div 2) - 1) mod ((2 + 2) + 1))) + 2)
A003589: 2 2 3 2 2 3 2 2 3 2 2 2 3 2 2 3
(((0 - x) - 1) mod (((x + 1) div ((2 + 2) + 1)) + 2))
A330759: 1 0 1 0 1 0 2 1 0 2 1 0 3 2 0 4
(((x mod 2) - (1 - ((x + 1) mod ((2 + 2) + 1)))) * 2)
A137797: 0 4 4 8 ~2 2 2 6 6 0 0 4 4 8 ~2 2
((((x + 1) * 2) - ((x + 1) mod ((2 + 2) + 1))) * 2)
A194376-A169906-A062897: 2 4 6 8 20 22 24 26 28 40 42 44 46 48 60 62
(((x * 2) mod (((x + 1) div 2) + ((2 + 2) + 1))) mod 2)
A047885: 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0
((((x mod ((x div 2) + 2)) + 2) mod ((2 + 2) + 1)) mod 2)
A341258: 0 1 0 0 0 1 1 0 0 0 0 1 1 0 0 1
((((x div ((x mod 2) + 2)) + 2) mod ((2 + 2) + 1)) mod 2)
A284932: 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0
(((((2 - x) * (x div 2)) + 2) mod ((2 + 2) + 1)) mod 2)
A243842: 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1
(((((x div (2 + 1)) * x) div 2) div ((2 + 2) + 1)) mod 2)
A011678: 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1
((x - ((((x div 2) * x) - 2) mod ((2 + 2) + 1))) mod 2)
A288733: 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0
((((x mod (2 + 1)) * (x + 2)) div ((2 + 2) + 1)) mod 2)
A287931: 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0
(((0 - 2) - 1) mod (((x + 2) mod ((2 + 2) + 1)) + 2))
A278313: 1 2 3 1 0 1 2 3 1 0 1 2 3 1 0 1
((((x div 2) * x) - ((x * 2) div ((2 + 2) + 1))) mod 2)
A074169: 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1
(((((x mod 2) * x) - (x div 2)) mod ((2 + 2) + 1)) * 2)
A138287: 0 2 8 4 6 6 4 8 2 0 0 2 8 4 6 6
((x mod (0 - (((x * x) + 2) mod ((2 + 2) + 1)))) mod 2)
A275947: 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1
((x mod (x - (((x * x) + 2) mod ((2 + 2) + 1)))) + 2)
A302098: 2 1 2 3 2 4 2 3
((((x * 2) + 1) * (x + 1)) mod (((2 + 2) + 1) * 2))
A194599: 1 6 5 8 5 6 1 0 3 0 1 6 5 8 5 6
(((1 - (x * 2)) * (x + 1)) mod (((2 + 2) + 1) * 2))
A194732: 1 8 1 0 5 6 3 6 5 0 1 8 1 0 5 6
(((x + 1) * 2) - ((x + 1) mod (((2 + 2) + 1) * 2)))
A111706: 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26
(((((x + 1) * x) div 2) + 2) mod (((2 + 2) + 1) * 2))
A096320: 2 3 5 8 2 7 3 0 8 7 7 8 0 3 7 2
((x - (((x mod 2) - x) * 2)) mod (((2 + 2) + 1) * 2))
A171654: 0 1 6 7 2 3 8 9 4 5 0 1 6 7 2 3
(((1 - (x * 2)) * (x + 2)) mod (((2 + 2) + 1) * 2))
A141721: 2 7 8 5 8 7 2 3 0 3 2 7 8 5 8 7
(((x div ((2 + 2) * 2)) + x) mod (((2 + 2) + 1) * 2))
A084689: 0 1 2 3 4 5 6 7 9
A021085: 0 1 2 3 4 5 6 7 9 0 1 2 3 4 5 6
((x * x) mod ((x * x) - (x - (((2 + 2) + 1) * 2))))
A169669-A111707: 0 1 4 9 16 25 36 49 64 81 0 1 2 3 4 5
((((x div 2) + 1) * 2) - (x mod (((2 + 2) + 1) * 2)))
A065031: 2 1 2 1 2 1 2 1 2 1 12 11 12 11 12 11
(((((x div (2 + 1)) - 1) * x) div ((2 + 2) + 1)) mod 2)
A341334: 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 0
((((x div ((2 + 2) + 1)) * x) mod ((2 + 2) + 1)) mod 2)
A011676: 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0
((((((x div 2) * 2) + 1) * x) div ((2 + 2) + 1)) mod 2)
A193238-A117814: 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1
(((((1 - x) mod (2 + 1)) - x) mod ((2 + 2) + 1)) mod 2)
A188093: 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1
(x - ((((x div (2 + 1)) - x) * ((2 + 2) + 1)) div 2))
A047536: 0 4 7 8 12 15 16 20 23 24 28 31 32 36 39 40
((((x mod (2 + 1)) * (1 - x)) div ((2 + 2) + 1)) mod 2)
A288257: 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0
((((2 - (x div (0 - 2))) * x) div ((2 + 2) + 1)) mod 2)
A090173: 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0
(((((x mod 2) + 2) * (2 - x)) mod ((2 + 2) + 1)) * 2)
A156551: 8 6 0 4 2 2 4 0 6 8 8 6 0 4 2 2
((x - (x mod (((x div 2) + x) - ((2 + 2) + 1)))) mod 2)
A101436: 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0
((((x + 2) div (2 + 1)) + (x div ((2 + 2) + 1))) div 2)
A011752: 0 0 0 0 1 1 1 2 2 2 3 3 3 3 3 4
(2 - (((2 - x) + 1) div ((x div ((2 + 2) + 1)) + 2)))
A259899-A095791: 1 1 2 2 3 3 3 4 4 4 4 4 5 5 5 5
(((x + 2) mod (2 + 2)) div ((x div ((2 + 2) + 1)) + 2))
A214284: 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0
(((x * x) mod (x - (1 - (x mod ((2 + 2) + 1))))) mod 2)
A309332: 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1
(((((x div (2 + 1)) - x) * x) div ((2 + 2) + 1)) mod 2)
A194664: 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0
((x - ((x + 1) div (((0 - x) mod (2 + 2)) + 1))) mod 2)
A071034-A071032: 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1
(((((x mod ((2 + 2) + 1)) * x) div (2 + 2)) + 1) mod 2)
A030302: 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1
((((((1 - x) mod (2 + 1)) - x) mod (2 + 2)) + 1) div 2)
A190483: 1 2 0 1 0 1 2 1 1 0 1 2 1 2 0 1
((((((x div (2 + 1)) + 2) * x) div (2 + 2)) + 1) mod 2)
A333925-A327005-A259776: 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1
((((x * x) div 2) div (((2 - x) div (2 + 2)) - 1)) mod 2)
A011691: 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1
(x mod ((2 - (x div (((2 - x) div (2 + 2)) - 1))) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A214587: 0 1 2 3 4 5 6 7 8 9 10 1 2 1 2 5
(((x mod 2) - (x div (((2 - x) div (2 + 2)) - 1))) div 2)
A329320: 0 1 1 1 1 2 1 2 1 2 2 2 1 2 2 2
(((2 - x) mod ((((x div 2) * x) div (2 + 2)) + 1)) div 2)
A319401-A185224: 0 0 0 0 0 0 0 0 1 1 2 2 4 4 6 7
((x mod 2) - (((((x mod 2) - x) * (2 + 2)) - 1) * 2))
A321212: 2 3 18 19 34 35 50 51 66 67 82 83 98 99 114 115
((x mod (2 - (x mod (0 - ((x div (2 + 2)) + 1))))) mod 2)
A189668: 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0
((((x div (0 - 2)) - 1) mod ((x div (2 + 2)) + 1)) mod 2)
A079688: 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1
((((x mod (2 + 2)) + 1) div ((x div (2 + 2)) + 1)) mod 2)
A295892: 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1
((x - (((x div 2) - 1) mod ((x div (2 + 2)) + 1))) mod 2)
A089224: 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1
(((x - 1) mod ((x + 1) div ((x div (2 + 2)) + 1))) div 2)
A006376: 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1
(((2 - ((x * x) - 1)) div ((x div (2 + 2)) + 1)) mod 2)
A243566: 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0
((x - (((x div 2) * 2) div ((x div (2 + 2)) + 1))) mod 2)
A147781: 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0
((((x * 2) div (2 + 1)) mod ((x mod (2 + 2)) + 1)) mod 2)
A091244: 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0
(((((((x + 2) * 2) + x) * x) div (2 + 2)) + 1) div 2)
A282513: 0 1 3 5 8 12 17 22 28 35 43 51 60 70 81 92
(((((((x mod (2 + 1)) div 2) + x) div 2) + 2) + 1) * 2)
A322292: 6 6 8 8 10 12 12 12 14 14 16 18 18 18 20 20
((((((x mod (2 + 1)) - 2) mod (x + 2)) div 2) + 1) mod 2)
A213061: 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0
(((x + 1) mod ((((2 + 2) mod (x + 2)) + 2) + 1)) mod 2)
A173859-A102243: 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0
((x div (((((x - 2) * 2) mod (x + 2)) * 2) - 1)) mod 2)
A127266: 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0
((((((x * x) * 2) + 1) div ((x + 2) + 2)) + 1) mod 2)
A189094: 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0
(((((x * x) * (2 + 2)) div ((x + 2) + 2)) + 1) mod 2)
A267853-A075439: 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0
((x - (((x * x) + 1) div (((x + 2) + 2) + 1))) * 2)
A162550: 0 2 4 4 6 6 6 6 6 8 8 8 8 8 8 8
((((((x * x) div 2) * x) div ((x + 2) + 2)) + 1) mod 2)
A189206: 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1
(((1 - x) mod (((x * x) mod ((x + 2) + 2)) + 1)) mod 2)
A284954: 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1
(((((x * x) + 2) * 2) div (((x - 2) * 2) - 1)) mod 2)
A025916: 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0
(((((x * x) mod ((2 - x) - (x * 2))) div 2) + 1) mod 2)
A140074: 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0
(((((x - (x div (0 - 2))) * (x div 2)) div 2) + 1) div 2)
A129819: 0 0 1 1 3 4 7 8 12 14 19 21 27 30 37 40
((2 mod ((((x mod (2 + 2)) * (x div 2)) div 2) + 1)) + 2)
A279401: 2 2 2 2 2 2 4 4 2 4 4 4 2 4 4 4
(((x + 1) div (((x - 2) mod ((x div 2) + 2)) + 1)) mod 2)
A120525: 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1
(((((1 - x) * (x * 2)) mod ((x div 2) + 2)) + 1) mod 2)
A025450: 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0
((((x div 2) - ((2 - x) div ((x div 2) + 2))) + 1) mod 2)
A209355: 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0
((((((2 - x) + 2) * x) mod ((x div 2) + 2)) + 1) mod 2)
A190669: 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1
(((1 - x) div (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)
A340373: 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 0
(((x div ((2 + 1) - (x - ((x div 2) mod 2)))) + 1) mod 2)
A118009: 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1
((((((x mod (2 + 1)) * x) + (x div 2)) div 2) + 1) mod 2)
A155898: 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0
(((x + 2) mod ((((x div 2) - (x mod 2)) * 2) - 1)) div 2)
A035628: 0 0 0 0 0 0 1 0 1 0 1 3 1 3 1 3
((((x - ((x div 2) mod 2)) div ((x mod 2) + 2)) + 1) mod 2)
A230000: 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1
(((2 - x) div (((x + 2) div ((x mod 2) + 2)) + 1)) mod 2)
A194661: 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1
((((x * x) - 1) mod (x - (((x mod 2) + 2) + 1))) mod 2)
A025921: 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0
(1 - (x mod (1 - ((x div (((x mod 2) + 2) + 1)) * 2))))
A047071: 1 1 1 1 1 1 1 1 2 1 1 2 3 3 1 1
(1 - ((x mod (0 - ((x div ((x mod 2) + 2)) + 1))) div 2))
A335108: 1 1 1 2 2 2 2 2 2 3 2 2 2 2 2 3
(((x div 2) - (2 mod ((x mod ((x mod 2) + 2)) + 1))) * 2)
A276151: 0 0 2 2 4 0 6 6 8 8 10 6 12 12 14 14
(2 - (((x div 2) div ((x mod ((x mod 2) + 2)) + 1)) mod 2))
A073783: 2 2 1 1 2 2 1 1 2 2 1 1 2 1 1 1
(((((x - 1) div 2) div 2) div (((x mod 2) * 2) + 1)) mod 2)
A264442: 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1
(x mod (((x div (2 + 2)) mod (((x mod 2) * 2) + 1)) + 2))
A323879-A129308: 0 1 0 1 0 2 0 1 0 1 0 3 0 1 0 1
(((((x * x) div 2) + 2) * (((x mod 2) * 2) + 1)) + 2)
A063723: 4 8 6 20 12
(((x mod (((2 + 2) * (2 + 1)) + 1)) mod (2 + 1)) mod 2)
A163584: 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0
(((x mod (((2 + 2) * (2 + 1)) - 1)) mod (2 + 1)) mod 2)
A305386-A215531: 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1
((x - ((((x * 2) div (2 + 1)) + 1) mod (2 + 1))) mod 2)
A170979: 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1
((((((x * x) div 2) div (2 + 1)) - 1) div (2 + 1)) mod 2)
A304109: 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0
((((((x + 1) * x) div (2 + 1)) - 1) div (2 + 1)) mod 2)
A286922-A284386: 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0
((((x + 2) div ((x mod (2 + 1)) + 1)) mod (2 + 1)) div 2)
A181406: 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1
((((x div ((2 - (x mod 2)) + 1)) + 1) div (2 + 1)) mod 2)
A011669: 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0
((x * 2) - ((((x div (0 - 2)) - 1) * (2 + 1)) div 2))
A189468: 2 5 7 11 13 16 18 22 24 27 29 33 35 38 40 44
(x - (((x div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2))
A245337: 0 1 2 3 4 5 6 6 7 8 9 10 11 12 11 12
((((x * x) div (((2 + 1) * 2) + 1)) mod (2 + 1)) mod 2)
A188086: 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0
((((x * x) mod (((2 + 1) * 2) + 1)) div (2 + 1)) + 2)
A261865-A157439: 2 2 3 2 2 3 2 2 2 3 2 2 3 2 2 2
((x - (((((x + 1) div 2) div 2) + 1) mod (2 + 1))) mod 2)
A181506: 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 1
(((x mod (((x - 1) mod (2 + 2)) + 1)) * (2 + 1)) div 2)
A221787-A123074: 0 0 0 0 0 0 0 1 0 0 0 3 0 0 0 0
(((((x * 2) + 1) div ((2 + 2) + 1)) mod (2 + 1)) mod 2)
A335716: 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0
((x div ((((2 - x) div (2 + 2)) - 1) * (2 + 1))) mod 2)
A188642: 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1
(((x - (((2 - x) div (2 + 2)) - 1)) * (2 + 1)) div 2)
A330178: 1 3 4 7 9 10 12 15 16 18 19 22 24 25 27 30
((((2 - x) mod (((x div 2) + 2) + 1)) mod (2 + 1)) div 2)
A071005: 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0
(((x - ((x div (2 + 1)) mod (2 + 1))) div (2 + 1)) * 2)
A064877: 0 0 0 0 2 2 2 2 4 6 6 6 6 8 8 8
((((((x + 2) * x) + 1) div (2 + 1)) mod (2 + 1)) div 2)
A288710: 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0
(((((x div 2) * (x + 1)) div (2 + 1)) mod (2 + 1)) div 2)
A011712: 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0
(((x - (x div ((0 - 2) * (2 + 1)))) mod (2 + 1)) div 2)
A188020: 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0
((x - ((((x div 2) * 2) div (2 + 1)) mod (2 + 1))) mod 2)
A188970: 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0
(((x - ((1 - (x div 2)) div (2 + 1))) mod (2 + 1)) div 2)
A289011: 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1
((((x * x) - ((x div 2) div (2 + 1))) mod (2 + 1)) div 2)
A073484: 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0
((((x * x) mod (((2 - x) * 2) + 1)) div (2 + 1)) mod 2)
A254605-A049763-A049759: 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0
((x - (((x + 2) mod ((x * 2) - 1)) mod (2 + 1))) div 2)
A337931: 0 0 0 1 2 2 2 3 3 3 5 5 5 6 6 6
((x - (((x - 2) mod ((x div 2) + 1)) mod (2 + 1))) mod 2)
A285530: 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1
((((x - 2) * x) div (((x div 2) + 1) * (2 + 1))) mod 2)
A241067: 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0
(((((2 + 2) * 2) mod ((0 - x) - 1)) mod (2 + 1)) mod 2)
A022883: 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1
((((((x + 2) * x) + 1) * (x + 1)) * (2 + 1)) div 2)
A211786: 1 12 40 96 187 324 514 768 1093 1500 1996 2592 3295 4116 5062 6144
((((2 - (x mod (2 + 2))) mod (x + 1)) mod (2 + 1)) div 2)
A118685: 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0
(((((x - 2) * (x - 2)) div (x + 1)) div (2 + 1)) mod 2)
A029432: 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1
((((x * x) div (2 + 2)) mod ((x + 1) * (2 + 1))) mod 2)
A079261: 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0
((((x mod (2 + 1)) div 2) + ((x + 1) div (2 + 1))) * 2)
A261557: 0 0 4 2 2 6 4 4 8 6 6 10 8 8 12 10
(((x - 1) mod (2 + 2)) div (((x + 1) mod (2 + 1)) + 2))
A025922: 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0
((((x + 2) * x) div (x - ((x + 1) mod (2 + 1)))) mod 2)
A190204: 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0
(((((x div 2) * x) - 1) * ((x - 1) div (2 + 1))) mod 2)
A320106: 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0
((((x div 2) div (2 + 1)) + ((x - 1) mod (2 + 1))) div 2)
A046772: 1 0 0 1 0 0 1 0 1 1 0 1 2 1 1 2
(x - (((x - ((x div 2) div (0 - 2))) div (2 + 1)) * 2))
A257564: 0 1 0 1 2 1 2 1 2 3 2 3 2 3 2 3
((1 - (x div (x - (((2 + 1) * 2) * (2 + 1))))) div 2)
A316082: 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3
(1 - ((1 - x) div ((((x + 1) div 2) div (2 + 1)) + 2)))
A112751: 1 1 2 2 3 3 3 3 4 4 4 4 4 4 5 5
(x - (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) * 2))
A053735: 0 1 2 1 2 3 2 3 4 1 2 3 2 3 4 3
((x - ((((x div (2 + 1)) * 2) * 2) div (2 + 1))) * 2)
A230641: 0 2 4 4 6 8 8 10 12 10 12 14 14 16 18 18
(((x div (((x div (2 + 2)) mod 2) - 2)) mod (2 + 1)) div 2)
A286493: 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0
(x - ((((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) mod 2))
A120613: 0 1 1 3 4 4 6 6 8 9 9 11 12 12 14 14
((((x + 1) mod ((x div (2 + 2)) + 2)) mod (2 + 1)) mod 2)
A291336-A291204: 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1
((((x + 2) mod ((x div (2 + 2)) + 2)) div (2 + 1)) + 2)
A074908: 2 2 2 2 2 2 2 2 2 3 2 2 3 2 2 2
((x mod (2 - (((x div (2 + 2)) + 2) * (2 + 1)))) mod 2)
A285249-A269027: 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1
((1 - ((x mod ((x div (2 + 2)) + 2)) mod (2 + 1))) div 2)
A028862: 0 0 0 0 0 ~1 0 0 0 0 ~1 0 ~1 0 0 0
((((x * 2) - ((x div (2 + 2)) mod 2)) div (2 + 1)) mod 2)
A289057: 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1
((((x + 1) mod (((x div 2) + 2) + 2)) mod (2 + 1)) mod 2)
A120523: 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 0
((((x + 1) div (((x div 2) mod 2) + 2)) mod (2 + 1)) mod 2)
A029693: 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0
(((x - (((x div 2) + 1) mod (2 + 2))) mod (2 + 1)) div 2)
A288926: 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0
(((x mod (((x div 2) + 2) + (2 + 2))) mod (2 + 1)) mod 2)
A272170-A126565: 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0
((x div 2) div (((x - 2) mod ((2 + 2) * (2 + 1))) + 2))
A257778: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2
(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))
A207328-A000120: 0 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4
((((((x * x) div 2) mod (x + 2)) div 2) mod (2 + 1)) mod 2)
A178226: 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0
(((((x * x) * x) div ((x + 2) + 2)) mod (2 + 1)) mod 2)
A288216: 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0
((((x * x) + 1) mod (((x + 2) * 2) div (2 + 1))) mod 2)
A285159: 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0
((((2 + 1) * 2) div (((x + 2) * 2) div (2 + 1))) mod 2)
A327144: 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0
((((x * x) - ((2 - (x div 2)) div 2)) div (2 + 1)) mod 2)
A230298: 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0
((((x - (2 + 1)) mod ((x div 2) + 2)) mod (2 + 1)) mod 2)
A290098: 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0
(((x - ((1 - x) div ((x div 2) + 2))) mod (2 + 1)) mod 2)
A241422-A189661: 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0
(((((x + 2) * x) div ((x div 2) + 2)) mod (2 + 1)) mod 2)
A031249: 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1
((2 - ((((0 - x) * (x div 2)) div 2) div (2 + 1))) div 2)
A029075: 1 1 1 1 2 2 2 3 4 4 5 6 7 7 9 10
((x - ((((x * x) * (x div 2)) div 2) div (2 + 1))) mod 2)
A038219: 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1
((x - (((x - ((x * x) * 2)) * 2) * (2 + 1))) * 2)
A270704: 0 14 76 186 344 550 804 1106 1456 1854 2300 2794 3336 3926 4564 5250
((((((x div (2 + 1)) + 1) * x) + 2) div (2 + 1)) mod 2)
A128617: 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0
(((((((x - 1) div 2) div 2) + x) div 2) mod (2 + 1)) div 2)
A281243: 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0
(x - ((((((x div 2) mod 2) - x) div 2) * (2 + 1)) div 2))
A047365: 0 3 4 5 7 10 11 12 14 17 18 19 21 24 25 26
(((x * x) div (x - (((2 - x) div 2) * (2 + 1)))) mod 2)
A141743: 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0
((((2 - (x div (2 + 1))) * (x + 2)) div (2 + 1)) mod 2)
A178600: 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1
A178651-A178602: 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1
((((((x + 2) + 2) + 2) * (x + 2)) - (2 + 1)) * 2)
A154575: 18 36 58 84 114 148 186 228 274 324 378 436 498 564 634 708
(((x - (((x * x) div 2) mod (x + 2))) div (2 + 1)) mod 2)
A020987: 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1
(((((x + 1) div 2) div 2) + ((x - 2) div (2 + 1))) mod 2)
A041004: 1 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0
(((x * 2) div (2 - ((1 - (x div 2)) div (2 + 1)))) mod 2)
A139312: 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1
((x + 2) - (x div (((1 - (x div 2)) div (2 + 1)) - 2)))
A175969: 2 4 5 7 8 9 10 12 13 14 15 16 17 19 20 21
(2 - (((2 - x) + 1) div (((x div 2) div (2 + 1)) + 2)))
A110867: 1 1 2 2 3 3 3 4 4 4 5 5 5
A342010-A006670: 1 1 2 2 3 3 3 4 4 4 5 5 5 5 5 5
((((x * 2) - (x mod 2)) - ((x div 2) mod (2 + 1))) * 2)
A153880: 0 2 6 8 12 14 24 26 30 32 36 38 48 50 54 56
((x mod 2) - ((1 - x) div (((x mod 2) * (2 + 1)) + 2)))
A271519: 0 1 1 2 2 2 3 3 4 3 5 3 6 4 7 4
(x - ((x - 2) div ((x div (2 + 2)) - ((2 + 1) * 2))))
A138083: 0 1 2 4 5 6
A193928: 0 1 2 4 5 6 7 8 10 11 12 14 16 17 18 20
(((((x mod ((0 - 2) - 2)) + 1) * x) div (2 + 1)) mod 2)
A029691: 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0
(((((x * 2) div ((2 + 2) + 1)) + x) * (2 + 1)) div 2)
A091087: 0 1 3 6 7 10 12 13 16 18 21 22 24 27 28 31
(((((((x div 2) + x) + 1) div 2) * x) div (2 + 1)) mod 2)
A027350: 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1
(((((x - ((x div 2) mod 2)) div 2) + x) * (2 + 1)) div 2)
A055264: 0 1 3 6 9 10 12 15 18 19 21 24 27 28 30 33
((((((x + 1) div 2) mod (2 + 2)) * x) div (2 + 1)) mod 2)
A037800: 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0
(((((((x div 2) + x) div 2) * 2) + x) * (2 + 1)) div 2)
A151972: 0 1 6 10 15 16 21 25 30 31 36 40 45 46 51 55
((((((x div 2) * (x div 2)) div 2) + x) mod (2 + 1)) mod 2)
A188294: 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0
(((x * 2) mod ((((x div 2) mod 2) * x) + (2 + 1))) mod 2)
A335622-A258141: 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0
(((((((x div 2) mod 2) + x) div 2) + x) * (2 + 1)) div 2)
A010380: 0 1 4 7 9 10 13 16
A242660: 0 1 4 7 9 10 13 16 18 19 22 25 27 28 31 34
((1 - ((((x div 2) - (x * 2)) * x) div (2 + 1))) * 2)
A192224: 2 4 6 12 18 30
((x - ((((2 - x) - (x * 2)) * x) * (2 + 1))) div 2)
A062708: 0 2 13 33 62 100 147 203 268 342 425 517 618 728 847 975
(((x - 1) mod (2 - (((x mod 2) - x) div (2 + 1)))) mod 2)
A267676: 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0
((((x + 2) div (2 - ((x mod 2) * x))) mod (2 + 1)) mod 2)
A273511: 1 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1
((x - ((x * x) div (((x mod 2) * x) + (2 + 1)))) mod 2)
A286487: 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1
(((((x + 1) div (2 + 1)) + 1) * (x div (2 + 1))) div 2)
A145805: 0 0 0 1 1 1 3 3 4 6 6 7 10 10 12 15
((((x - 2) div ((2 + 2) + 1)) * (x div (2 + 1))) div 2)
A036854: 0 0 0 0 0 0 0 1 1 1 1 1 4 4 4 5
((x - 2) div (((x div (2 + 1)) * (x div (2 + 1))) + 2))
A290739: ~1 ~1 0 0 0 1 0 0 1 0 0 0 0 0 0 0
(((x mod ((2 - (x mod 2)) + 1)) + (x div (2 + 1))) * 2)
A287393: 0 2 4 4 4 4 4 6 8 8 8 8 8 10 12 12
(x - (((x div ((2 + 2) * 2)) + (x div (2 + 1))) * 2))
A005812: 0 1 2 1 2 3 2 3 2 1 2 3 2 3 4 3
((x - ((x div 2) div (2 + 1))) div ((x div (2 + 1)) + 2))
A322811-A262885: 0 0 1 1 1 1 1 1 1 1 1 2 1 1 2 1
((((x * x) div (2 + 2)) + x) + ((x div (2 + 1)) mod 2))
A194273: 0 1 3 6 9 12 15 19 24 30 36 42 48 55 63 72
(((x * x) div (((0 - 2) - 2) - (x mod (2 + 1)))) mod 2)
A101264: 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1
((x div ((((x mod 2) + 2) + 2) + (x mod (2 + 1)))) mod 2)
A011679: 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1
((2 - ((2 - x) div ((2 + 2) - (x mod (2 + 1))))) div 2)
A320385: 1 1 1 1 1 2 1 2 2 2 2 3 2 3 4 3
((((x div 2) - (x mod 2)) + 2) div ((x mod (2 + 1)) + 2))
A025828: 1 0 0 1 1 0 2 1 1 2 2 1 4 2 2 4
(x div (((2 + 1) * 2) - (x mod ((x mod (2 + 1)) + 2))))
A079294: 0 0 0 0 0 1 1 1 1 1 2 3 2 2 3 3
((((x div (2 + 1)) + x) * 2) - ((x mod (2 + 1)) div 2))
A047474: 0 2 3 8 10 11 16 18 19 24 26 27 32 34 35 40
((((x * x) * x) div (2 + 1)) + ((x mod (2 + 1)) mod 2))
A212069: 0 1 2 9 22 41 72 115 170 243 334 443 576 733 914 1125
((x * 2) - ((x mod 2) - ((x - (x mod (2 + 1))) div 2)))
A010378: 0 1 4 6 9 10
A010462: 0 1 4 6 9 10 15 16 19 21 24 25
(x - ((1 - (x * x)) div (((x * x) div (2 + 1)) + 2)))
A008520: 0 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18
((2 - (x mod (2 - (x - ((x * x) mod (2 + 1)))))) div 2)
A029165: 1 0 1 1 1 1 2 1 2 3 3 3 5 4 5 6
(((((x mod (((x mod 2) + 2) + 1)) + x) div 2) + 1) div 2)
A262868: 0 1 1 2 1 2 2 3 3 3 3 4 3 4 4 5
((((((x mod ((x mod 2) + 2)) - 1) * x) div 2) + 1) mod 2)
A030324: 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1
(((((((x * x) div 2) div (2 + 1)) - x) div 2) + 1) div 2)
A121385: 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6
(((x * x) mod ((((x mod (2 + 1)) - x) div 2) - 1)) mod 2)
A011706: 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0
(x - (((x div (2 + 2)) mod (((1 - x) div 2) - 1)) div 2))
A039249: 0 1 2 3 5 6 8 9 10 11 12 13 14 15 17 18
(((((2 - (((x + 1) div 2) div 2)) * x) div 2) + 1) mod 2)
A004593: 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0
((((((x + 1) mod ((2 + 2) * 2)) + x) div 2) + 1) div 2)
A340327: 0 1 1 2 2 3 3 2 2 3 3 4 4 5 5 4
((((x * 2) mod ((((2 + 2) * 2) + x) + 2)) + 1) div 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A338379-A004426: 0 1 2 3 4 5 6 7 8 9 0 1 1 2 2 3
(x - ((((((x div (2 + 2)) mod 2) - x) div 2) - 1) div 2))
A039115: 1 2 3 5 6 7 8 9 11 12 13 15 16 17 18 19
((x * 2) - (((((x div (2 + 2)) - x) div 2) - 1) div 2))
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A003265: 1 3 5 8 10 12 14 16 18 21 23 25 27 29 32 34
(((((((1 - x) * (x div 2)) div 2) + x) div 2) + 1) mod 2)
A127243: 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0
(((((x + 1) * x) div (x - ((2 - x) div 2))) + 1) div 2)
A305817: 0 1 2 2 2 2 3 3 3 3 4 4 5 5 5 5
(((((((x mod (2 + 1)) - x) div 2) * x) div 2) + 1) mod 2)
A341540: 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1
(((((x - 2) * x) div (((x div 2) + x) + 2)) + 1) mod 2)
A099075: 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1
(((((0 - x) mod ((2 + 2) + 1)) mod (x + 2)) + 1) mod 2)
A277450: 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1
(((((x * x) * (2 + 1)) + 1) div ((x + 2) + 1)) mod 2)
A286339: 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1
(((((x * x) * (x - 1)) div 2) * ((x + 2) + 1)) div 2)
A085740: 0 0 5 27 84 200 405 735 1232 1944 2925 4235 5940 8112 10829 14175
(x - (((((x * x) div 2) + 2) div ((x + 2) + 1)) * 2))
A283431: 0 1 2 1 2 3 2 3 2 3 2 3 4 3 4 3
((((((x * x) + 1) * x) * 2) div ((x + 2) + 1)) * 2)
A278212: 0 2 8 20 38 64
(((((x - 1) div 2) * (x div 2)) * ((x + 2) + 1)) div 2)
A211379: 0 0 0 3 7 16 27 45 66 96 130 175 225 288 357 441
(2 div (((((2 - x) * x) div 2) mod ((x + 2) + 1)) + 2))
A105349: 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0
((x - ((((x * x) * x) - 2) div ((x + 2) + 1))) mod 2)
A284656: 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0
((((((x - 2) * 2) - 1) * x) div ((x + 2) + 1)) mod 2)
A083924: 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0
(x mod (((((x * 2) - 1) * x) mod ((x + 2) + 1)) - 2))
A153587: 0 0 0 0 0 2 0 0 0 2 4 1 0 1 0 0
((((((x div 2) + x) * (x * x)) div (x + 2)) + 1) mod 2)
A284527: 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0
(((((1 - x) mod ((2 + 2) + 1)) + (x * 2)) + 1) * 2)
A125133: 4 6 18 20 22 24 26 38 40 42 44 46 58 60 62 64
((((((x * x) * x) - 1) div 2) mod ((x * 2) + 1)) mod 2)
A308901-A289007: 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1
((((((x div 2) - 1) * x) div 2) mod ((x * 2) + 1)) mod 2)
A327462: 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0
((((((x div 2) mod 2) - x) div 2) mod ((x * 2) + 1)) + 2)
A324560: 2 4 6 8 9 10 12 14 15 16 18 20 21 22 24 26
((((x - 1) div 2) * (x div 2)) + (((x * 2) + 1) * 2))
A190091: 2 6 10 15 20 26 32 39 46 54 62 71 80 90 100 111
((((2 + 2) - ((x + 2) * x)) div ((x * 2) + 1)) mod 2)
A286059: 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1
((x + 1) div ((((x * x) + 1) mod ((x * 2) - 1)) + 2))
A307196: 0 1 0 2 1 0 1 0 1 0 1 0 1 0 1 0
(((((x * x) * (x + 2)) div 2) div ((x * 2) - 1)) mod 2)
A334941-A079101: 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1
((((2 + 2) * (x + 1)) + (2 div ((x * 2) - 1))) * 2)
A273791: 4 20 24 32 40 48 56 64 72 80 88 96 104 112 120 128
(((((x * x) div 2) * (x - 2)) div ((x * 2) - 1)) mod 2)
A011696: 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0
((x div ((((x - 2) div (2 + 1)) - (x div 2)) - 1)) mod 2)
A079336: 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0
((x - ((((x div 2) - (x * 2)) * (x div 2)) - 1)) div 2)
A186423: 0 1 3 4 8 11 17 20 28 33 43 48 60 67 81 88
((((x * x) div (2 - ((x div 2) * (x div 2)))) + 1) mod 2)
A100923: 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0
((((((x * 2) * 2) * 2) + 1) div ((x div 2) + 1)) mod 2)
A125999: 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1
((((x mod (2 + 1)) * (2 + 1)) mod ((x div 2) + 1)) div 2)
A074936: 0 0 0 0 0 0 0 1 0 0 1 0 0 1 3 0
((((((x * x) + 2) * x) + 1) mod ((x div 2) + 1)) mod 2)
A295309: 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0
(((((x + 1) div 2) * (x + 1)) * ((x div 2) + 1)) div 2)
A109900: 0 1 3 8 15 27 42 64 90 125 165 216 273 343 420 512
(((((x div 2) + x) mod (2 + 2)) mod ((x div 2) + 1)) div 2)
A025428: 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1
((((1 - x) - ((x * 2) * 2)) div ((x div 2) + 1)) mod 2)
A099076: 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0
(((((x * x) + (x div 2)) div 2) mod ((x div 2) + 1)) div 2)
A235189: 0 0 0 0 0 0 1 1 2 1 2 1 2 1 2 2
((((((x div 2) mod 2) - x) * 2) mod ((x div 2) + 1)) div 2)
A282459: 0 0 0 0 0 1 1 0 2 1 0 2 2 1 3 2
((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)
A342955-A261684-A082858-A048571-A004197: 0 0 0 0 1 0 0 1 1 0 0 1 2 1 0 0
((x - (((x div 2) - (x * 2)) * ((x div 2) + 1))) div 2)
A144065: 0 1 4 6 11 14 21 25 34 39 50 56 69 76 91 99
((((x * 2) * 2) div (x + 1)) + (((x div 2) + 1) div 2))
A087793: 0 2 3 4 4 4 5 5 5 5 6 6 6 6 7 7
(((((x div 2) mod (2 + 2)) * x) div ((x div 2) + 1)) mod 2)
A184172: 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1
((((((2 - x) * 2) - x) * x) div ((x div 2) + 1)) mod 2)
A138710: 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1
(((((x - 1) div 2) * (x div 2)) * ((x div 2) - 1)) div 2)
A028724: 0 0 0 0 1 2 6 9 18 24 40 50 75 90 126 147
((((x * x) + 1) div (x + 2)) - (((x div 2) - 1) div 2))
A097330: 1 1 1 2 2 3 3 4 5 6 6 7 8 9 9 10
(((x * 2) * 2) div ((x + 2) - (((x div 2) - 1) div 2)))
A197637: 0 1 2 2 2 2 3 3 3 3 4 4 4 4 4 4
(((((x * x) + (2 + 1)) * x) + ((x mod 2) + 1)) * 2)
A286230: 2 12 30 76
(((((((x mod 2) + (x * 2)) * x) * x) div 2) + 1) div 2)
A220788: 0 1 4 16
A296819: 0 1 4 16 32 69 108 184 256 385 500 696 864 1141 1372 1744
((x - (((2 - x) * x) div (((x * x) div 2) + 1))) + 2)
A152424: 2 2 4 6 7 9 10 11 12 13 14
(((1 - (x * x)) div ((((2 + 2) + 1) * x) + 1)) mod 2)
A267272: 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1
(2 - ((((x * x) + 2) mod (((2 + 1) * x) + 1)) mod 2))
A160198: 2 1 2 1 1 1 2 1 2 1 1 1 1 1 2 1
(((((x + 2) * 2) + x) * (((2 + 1) * x) + 1)) div 2)
A145910: 2 14 35 65 104 152 209 275 350 434 527 629 740 860 989 1127
(((((x * x) div (2 + 2)) + ((x + 1) * x)) + 1) div 2)
A265431: 0 1 4 7 12 18 26 34 44 55 68 81 96 112 130 148
(((((x - ((x div 2) div (2 + 1))) div 2) * x) + 1) mod 2)
A285373: 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1
((((((x - (x div (2 + 2))) div 2) mod 2) + x) + 1) div 2)
A115384: 0 1 2 2 3 3 3 4 5 5 5 6 6 7 8 8
(x - ((((x * x) div (((2 + 2) * 2) + x)) - 1) div 2))
A168389: 1 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11
(((((((x div 2) + x) div (2 + 2)) mod 2) + x) + 1) div 2)
A267098: 0 1 1 2 3 3 3 4 5 5 6 6 6 7 8 8
((((((x + 1) div (2 + 1)) mod (2 + 2)) + x) + 1) div 2)
A335380: 0 1 2 2 3 4 4 5 6 6 7 6 6 7 8 8
(x mod ((2 - (x mod (((x mod (2 + 2)) - x) - 1))) div 2))
A200221: 0 0 0 0 0 0 0 1 0 0 0 3 0 0 0 3
(((((((x * x) - 1) * (x div 2)) div 2) + x) + 1) * 2)
A028497: 2 4 8 16 40
((compr(\x.((((x div 2) div (2 + 1)) * x) mod 2),x) + 1) * 2)
A194372: 2 4 6 8 10 12 14 18 22 26 28 30 32 34 36 38
(((((x - 2) * x) div (((2 - x) * 2) - x)) + 1) mod 2)
A103522: 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0
((((((x div 2) * (x div 2)) div (x + 2)) + x) + 1) mod 2)
A328101: 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0
(2 div ((((x * x) - 2) mod (((x div 2) + x) + 1)) + 2))
A276791: 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0
(((((x * x) div ((x div 2) + 2)) + 1) mod (x + 1)) mod 2)
A286052: 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0
((((((x div 2) - 1) * x) div (2 + 1)) mod (x + 1)) mod 2)
A279024: 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0
(((x div ((0 - 2) - (x div (2 + 1)))) mod (x + 1)) mod 2)
A048156: 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1
(x div ((((2 + 2) - (x mod (2 + 1))) mod (x + 1)) + 2))
A289122: 0 0 0 1 0 1 1 1 2 1 2 2 2 2 3 2
(((((x div 2) + x) * ((x div 2) - 1)) div (x + 1)) mod 2)
A079813: 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 0
((x * 2) - ((((x div 2) div (0 - 2)) mod (x + 1)) div 2))
A029921: 0 2 3 5 6 8 10 11 13 14 16 18 19 21 23 24
((((x mod (((2 + 1) * 2) + 1)) + 2) mod (x + 1)) mod 2)
A167393: 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1
((((((x + 2) * (x + 2)) + 1) div 2) * (x + 1)) div 2)
A199771: 1 5 12 26 45 75 112 164 225 305 396 510 637 791 960 1160
((((x + 1) mod ((x mod (2 + 2)) + 2)) mod (x + 1)) div 2)
A011689: 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 0
(((x div 2) - ((((x - 2) * 2) * 2) div (x + 1))) mod 2)
A288622: 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0
(((2 - (x div (((x mod 2) - 2) * 2))) mod (x + 1)) mod 2)
A053259: 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0
(((x - (((1 - x) * x) * (2 + 2))) * (x + 1)) div 2)
A172073: 0 1 15 54 130 255 441 700 1044 1485 2035 2706 3510 4459 5565 6840
((((((x * 2) + 1) * (x + 2)) + 2) * (x + 1)) div 2)
A085786: 2 11 33 74 140 237 371 548 774 1055 1397 1806 2288 2849 3495 4232
(((2 - ((x * x) div ((x mod 2) + 2))) div (x + 1)) mod 2)
A189031: 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1
(((((x * x) * x) + ((x mod 2) * 2)) * (x + 1)) div 2)
A079245: 0 3 12 58
(((((((x mod 2) * 2) + 1) * x) + 2) * (x + 1)) div 2)
A110344: 1 5 6 22 15 51 28 92 45 145 66 210 91 287 120 376
(((((x div ((x mod 2) + 2)) * x) + 2) div (x + 1)) mod 2)
A095076: 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0
(((((((2 + 1) * x) + 2) * x) + 2) * (x + 1)) div 2)
A143690: 1 7 27 70 145 261 427 652 945 1315 1771 2322 2977 3745 4635 5656
((x - ((1 - (((x div 2) * x) div 2)) div (x + 1))) mod 2)
A298952: 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1
(((((x + 2) * (x + 2)) + (x * 2)) * (x + 1)) div 2)
A162260: 2 11 30 62 110 177 266 380 522 695 902 1146 1430 1757 2130 2552
((((((2 - x) * x) - 2) * (x div 2)) div (x + 1)) mod 2)
A308253: 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1
(((((((x + 2) * 2) + x) * x) + 2) * (x + 1)) div 2)
A005920: 1 9 33 82 165 291 469 708 1017 1405 1881 2454 3133 3927 4845 5896
(((x * 2) div (((2 + 2) * 2) + 1)) + ((x + 1) * 2))
A186289: 2 4 6 8 10 13 15 17 19 22 24 26 28 30 33 35
((((x * 2) + 1) div ((2 + 2) + 1)) + ((x + 1) * 2))
A329830: 2 4 7 9 11 14 16 19 21 23 26 28 31 33 35 38
((2 div (((0 - x) mod (2 + 2)) + 1)) + ((x + 1) * 2))
A128037: 4 4 6 9 12 12 14
(((x - (x div (2 + 1))) div (2 + 1)) + ((x + 1) * 2))
A184809: 2 4 6 8 11 13 15 17 20 22 24 26 28 31 33 35
(((x mod ((x div 2) + 1)) div (2 + 1)) + ((x + 1) * 2))
A186329: 2 4 6 8 10 12 14 17 19 21 23 25 27 30 32 34
((((x div (2 + 2)) + x) div (2 + 1)) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A186316: 2 4 6 9 11 14 16 18 21 23 26 28 31 33 35 38
((x div (2 - ((x div 2) div (0 - 2)))) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A207188: 2 4 6 9 11 13 15 17 20 22 24 26 28 30 32 34
((((x + 1) div ((2 + 2) + 1)) mod 2) + ((x + 1) * 2))
A327255: 2 4 6 8 11 13 15 17 19 20 22 24 26 28 31 33
(((((x div (2 + 2)) + x) + 1) div 2) + ((x + 1) * 2))
A330064-A292645-A001950: 2 5 7 10 13 15 18 20 23 26 28 31 34 36 39 41
((((((x div 2) + x) + 1) div 2) div 2) + ((x + 1) * 2))
A292647-A054406: 2 4 7 9 11 14 16 18 21 23 26 28 30 33 35 37
((x div ((x mod ((0 - 2) - 2)) - 2)) + ((x + 1) * 2))
A028728: 2 3 5 7 8 11 12 13 14
(((x - (x div ((2 + 2) * 2))) div 2) + ((x + 1) * 2))
A329834-A189681-A059542: 2 4 7 9 12 14 17 19 21 24 26 29 31 34 36 39
((((x div 2) - (x mod (2 + 2))) div 2) + ((x + 1) * 2))
A070026-A028835-A028834: 2 3 5 7 11 12 14 16 20 21 23 25 29 30 32 34
(((x div (2 + 2)) - ((x div 2) mod 2)) + ((x + 1) * 2))
A056527: 2 4 5 7 11 13 14 16 20 22 23 25 29 31 32 34
((((x - (x div (2 + 2))) div 2) + x) + ((x + 1) * 2))
A108165: 2 5 9 12 15 19 22 26 29 32 36 39 42 46 49 53
((((x * 2) - (x div (0 - 2))) + 1) * ((x + 1) div 2))
A219190: 0 4 6 18 22 42 48 76 84 120 130 174 186 238 252 312
((((x - (x div (0 - 2))) * 2) + 1) * ((x + 1) div 2))
A036498: 0 5 7 22 26 51 57 92 100 145 155 210 222 287 301 376
(((((x mod 2) + (x * 2)) * 2) + 1) * ((x + 1) div 2))
A154260: 0 7 9 30 34 69 75 124 132 195 205 282 294 385 399 504
((((x div 2) + x) + ((x + 1) * 2)) * ((x + 1) div 2))
A132354: 0 5 9 24 32 57 69 104 120 165 185 240 264 329 357 432
((((((x div 2) * 2) + 1) * 2) * 2) + ((x + 1) div 2))
A156638: 4 5 13 14 22 23 31 32 40 41 49 50 58 59 67 68
((((((x div 2) + x) + 1) * 2) * 2) - ((x + 1) div 2))
A281445: 4 7 15 18 26 29 37 40 48 51 59 62 70 73 81 84
((((x + 1) div ((x mod 2) + 2)) div 2) + ((x + 1) div 2))
A154951: 0 1 1 2 3 4 4 5 6 6 7 8 9 9 10 10
(((((x div 2) * (2 + 1)) + x) + 2) * ((x + 1) div 2))
A036666: 0 3 7 16 24 39 51 72 88 115 135 168 192 231 259 304
(((x div (((x mod 2) + 2) + 2)) + x) + ((x + 1) div 2))
A083033: 0 2 3 5 7 9 10 12 14 15 17 19 21 22 24 26
((((((2 + 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2)
A152741: 0 13 39 78 130 195 273 364 468 585 715 858 1014 1183 1365 1560
((((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1)) div 2)
A152740: 0 11 33 66 110 165 231 308 396 495 605 726 858 1001 1155 1320
((((((2 + 2) * (x + 1)) + 1) * x) * (x + 1)) div 2)
A281381: 0 9 39 102 210 375 609 924 1332 1845 2475 3234 4134 5187 6405 7800
((((((2 + 2) * (x + 1)) - 1) * x) * (x + 1)) div 2)
A051895: 0 7 33 90 190 345 567 868 1260 1755 2365 3102 3978 5005 6195 7560
(((((((2 + 2) * 2) * 2) + 1) * x) * (x + 1)) div 2)
A195037: 0 17 51 102 170 255 357 476 612 765 935 1122 1326 1547 1785 2040
(((((((x + 2) + 2) * 2) + 1) * x) * (x + 1)) div 2)
A162261: 0 11 39 90 170 285 441 644 900 1215 1595 2046 2574 3185 3885 4680
(((((x mod (2 + 1)) + 1) * (1 - x)) div (x + 1)) mod 2)
A082960: 1 0 1 1 0 0 1 0 1
A108882: 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1
((((x - ((1 - x) * (2 + 2))) * x) * (x + 1)) div 2)
A237616: 0 1 18 66 160 315 546 868 1296 1845 2530 3366 4368 5551 6930 8520
((((((x + 2) * (x + 2)) * 2) + x) * (x + 1)) div 2)
A162254: 4 19 51 106 190 309 469 676 936 1255 1639 2094 2626 3241 3945 4744
((((x * x) * (x * x)) * ((x * x) * (x + 1))) div 2)
A168526: 0 1 96 1458 10240 46875 163296 470596 1179648 2657205 5500000 10629366 19408896 33787663 56471520 91125000
(((((((x + 1) * x) div 2) - 2) * x) * (x - 1)) div 2)
A239352: 0 0 1 12 48 130 285 546 952 1548 2385 3520 5016 6942 9373 12390
((x - ((1 - ((2 + 2) * 2)) * ((x * x) + 1))) div 2)
A011799: 3 7 18 36 61 93 132 178 231 291 358 432
A006124: 3 7 18 36 61 93 132 178 231 291 358 432 513 601 696 798
(((((x * x) * x) * (x * x)) * ((x * x) + 1)) div 2)
A168364: 0 1 80 1215 8704 40625 143856 420175 1064960 2421009 5050000 9824111 18040320 31559905 52975664 85809375
((((x * x) * (x * x)) * (((x * x) * x) + 1)) div 2)
A168194: 0 1 72 1134 8320 39375 140616 412972 1050624 2394765 5005000 9750906 17926272 31388539 52725960 85455000
((x div (2 - ((x + 2) mod ((2 + 2) * (0 - 2))))) mod 2)
A091247: 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1
(x - ((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2))
A161560: 0 0 1 3 3 5 6 6 7 9 10 10 12 12 13 15
((x + 1) div (1 - (x div (((x div 2) div (0 - 2)) - 2))))
A280253: 1 1 1 2 1 2 2 2 3 2 3 3 3 3 3 4
(x div (2 - (((x div 2) div (2 + 1)) mod ((0 - 2) - 2))))
A071838: 0 0 1 1 2 2 1 1 1 1 2 2 3 3 3 3
(((x + 1) * 2) - (((x div 2) + x) div ((0 - 2) - 2)))
A003256: 2 5 7 9 12 14 17 19 21 24 26 28 31 33 36 38
((x + 2) - ((2 - x) div (2 - (x div ((0 - 2) - 2)))))
A225647: 1 3 4 6 7
A080804: 1 3 4 6 7 8 9 11 12 13 14 15 16 17 18 20
((((x * x) + 2) div ((2 + 2) - (x div (0 - 2)))) mod 2)
A152228: 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0
(((((x * x) * 2) - 1) mod (2 - (x div (0 - 2)))) mod 2)
A119842-A091862-A091492: 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1
((((x * x) * (x - 2)) div (2 - (x div (0 - 2)))) mod 2)
A285957: 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0
(((x * 2) - (x div (2 + 2))) + ((x div (0 - 2)) mod 2))
A047328: 0 3 5 6 7 10 12 13 14 17 19 20 21 24 26 27
(((x * 2) - (x div (2 + 2))) - ((x div (0 - 2)) mod 2))
A047283: 0 1 3 6 7 8 10 13 14 15 17 20 21 22 24 27
(((((x - 1) mod ((x div (2 + 1)) + 1)) - 1) div 2) mod 2)
A117198: 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0
((x div ((x mod ((x div ((0 - 2) - 1)) - 1)) - 2)) mod 2)
A053867: 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1
((((x mod ((((x + 1) div 2) div 2) + 1)) - 1) div 2) mod 2)
A050073: 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1
((((((x + 1) * x) * ((2 + 2) + 1)) + 1) * 2) * 2)
A193448: 4 44 124 244 404 604 844 1124 1444 1804 2204 2644 3124 3644 4204 4804
(((x - (2 div ((x div ((2 + 2) + 1)) + 1))) mod 2) + 2)
A276862: 2 3 2 3 2 2 3 2 3 2 2 3 2 3 2 3
((((x div (((2 - x) mod (2 + 2)) + 1)) - 1) div 2) mod 2)
A058840: 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1
(((((x * 2) div ((x div (2 + 2)) + 1)) + 1) div 2) div 2)
A157230-A072273: 0 0 1 1 1 1 1 2 1 1 1 2 1 1 2 2
((x * x) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2))
A070466: 0 1 4 9 16 25 36 5 20 37 12 33 12 37 20 5
(((x - (2 mod (((2 - x) * (2 + 1)) + 1))) + 2) + 2)
A284743: 2 3 6 7 11 15 19 23
((((x * 2) mod (((2 - x) div (2 + 1)) - 1)) mod 2) + 2)
A147793: 2 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2
(1 - ((((x - 1) mod ((x div (2 + 1)) + 1)) mod 2) * 2))
A160357: 1 1 1 1 ~1 1 1 1 ~1 1 ~1 1 ~1 1 ~1 1
((((2 - (x * x)) mod ((x div (2 + 1)) + 1)) div 2) mod 2)
A336396-A115861-A081227: 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0
((((((x div 2) * x) + (x div (2 + 1))) + 1) div 2) mod 2)
A025075: 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1
((((((2 + 2) * (x + 1)) * (x + 1)) + 1) * 2) * 2)
A158444: 20 68 148 260 404 580 788 1028 1300 1604 1940 2308 2708 3140 3604 4100
(((x mod ((((x * 2) div (2 + 1)) * 2) - 1)) mod 2) * 2)
A093569: 0 0 0 0 2 0 0 0 0 2 0 2 0 2 0 2
(((x * x) * x) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A070490: 0 1 8 27 8 13 20 7 8 1 20 15 20 13 0 15
(1 - ((((2 - x) mod (((2 + 1) * 2) + 1)) mod 2) * 2))
A097807: 1 ~1 1 1 ~1 1 ~1 1 ~1 1 1 ~1 1 ~1 1 ~1
((((x * x) mod (((x div (2 + 1)) * 2) - 1)) div 2) + 2)
A309120: 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2
((x - (((x div ((x mod (2 + 1)) + 2)) - 1) div 2)) mod 2)
A088150: 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0
((((x div (((x * x) mod (2 + 1)) + 2)) - 1) div 2) mod 2)
A127001: 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1
(((((x - ((x div 2) div (0 - 2))) * 2) + 1) * 2) * 2)
A072182: 4 12 28 36 44 52 68 76 84 92 108 116 124 132 148 156
((((x * x) mod ((((x - 1) div 2) * 2) - 1)) div 2) div 2)
A337621: 0 0 0 0 0 0 0 1 1 1 0 1 0 1 2 1
((((x * 2) mod ((x mod ((2 + 2) * 2)) + 1)) div 2) div 2)
A011670: 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1
(((x mod (((1 - (x div (2 + 2))) * 2) + 1)) mod 2) + 2)
A031217: 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2
(((((1 - x) mod ((x div (2 + 2)) + 2)) - 1) div 2) mod 2)
A189673: 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0
(((x - (((1 - x) * 2) mod ((2 + 2) + 1))) div 2) mod 2)
A272532: 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0
(((x - 1) div (((x - 2) mod ((2 + 2) + 1)) + 2)) mod 2)
A029441: 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0
(x - (x div ((((x div 2) mod ((2 + 2) + 1)) + 2) + 2)))
A025548: 0 1 2 3 4 5 6 6 7 8 8 9 10 11 12 13
(((x * x) * (x * x)) mod ((((2 + 2) + 1) * 2) * 2))
A070539: 0 1 16 1 16 5 16 1 16 1 0 1 16 1 16 5
((2 - (x mod (((1 - x) div ((2 + 2) + 1)) - 2))) div 2)
A002635: 1 1 1 1 2 1 1 1 1 2 2 1 2 2 1 1
((x - ((1 - x) div ((x mod ((2 + 2) + 1)) + 2))) mod 2)
A181932: 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0
(((x - 2) div (((x * x) mod ((2 + 2) + 1)) + 2)) mod 2)
A190245: 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0
((((((x div (2 + 1)) * x) div (2 + 2)) + 1) div 2) mod 2)
A085114: 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1
(((x - ((2 + 1) div ((x div (2 + 2)) + 1))) div 2) mod 2)
A143222: 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1
((x mod (((1 - x) mod ((x div (2 + 2)) + 1)) + 2)) div 2)
A113263: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1
(x - ((((((x div 2) - (x * 2)) * 2) - 1) * 2) * 2))
A306285: 4 21 30 47 56 73 82 99 108 125 134 151 160 177 186 203
((x div (((x * x) mod (((x * 2) * 2) - 1)) + 2)) + 2)
A316990: 2 2 2 2 3 2 2 2 4 2 2 2 4 2 2 2
(1 - ((((x * x) div (((x div 2) + 2) + 1)) mod 2) * 2))
A186032-A108784: 1 1 ~1 1 ~1 ~1 1 1 ~1 ~1 1 ~1 1 1 ~1 1
((((((2 + 1) * x) mod ((x div 2) + 2)) + 1) div 2) div 2)
A333382: 0 0 0 0 0 1 1 0 0 1 0 1 1 2 1 0
(((x + 2) div (x - ((((x div 2) mod 2) + 1) * 2))) mod 2)
A263243: 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1
(((1 - x) mod ((x div (((x div 2) mod 2) + 1)) + 2)) div 2)
A230596: 0 0 1 0 1 1 0 2 1 1 2 2 1 1 2 2
((x - (((((x * x) + (x div 2)) div 2) - 1) div 2)) mod 2)
A104105: 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0
(2 div ((2 - (((x div ((x mod 2) + 2)) - 1) div 2)) + 2))
A034399: 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 1
(x - ((((x div ((2 + 2) + 1)) * (2 + 1)) div 2) * 2))
A245343: 0 1 2 3 4 3 4 5 6 7 4 5 6 7 8 7
((((((x div 2) + 1) div (2 + 1)) * (2 + 1)) div 2) + 2)
A111656: 2 2 2 2 3 3 3 3 3 3 5 5 5 5 5 5
((x * 2) - (((((x div 2) - 1) * (2 + 1)) div 2) div 2))
A260479: 1 3 4 6 8 10 11 13 14 16 17 19 21 23 24 26
((((x div (2 + 2)) - ((x + 1) mod (2 + 1))) div 2) mod 2)
A286937: 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1
(x div (((((x div 2) * (x - 1)) mod (2 + 1)) + 2) + 2))
A089216: 0 0 0 0 1 0 1 1 1 1 2 1 3 3 2 2
(((x + 1) div (x - (((x - 1) mod (2 + 1)) + 2))) mod 2)
A267594: 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
((((1 - (x div ((0 - 2) - 2))) * (2 + 1)) div 2) div 2)
A324965: 0 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3
(((2 - x) div ((((x div 2) * 2) mod (2 + 1)) + 2)) mod 2)
A200246: 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 0
((2 - (x div ((((2 - x) div 2) div (2 + 1)) - 2))) div 2)
A309432: 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 2
((((x + 1) * x) div (((x * 2) div (2 + 1)) + 2)) + 2)
A284946: 2 3 4 5 7 8 9 11 12 13 15 16 17 20 21 22
(2 - (((2 - x) div (((x * 2) div (2 + 1)) + 2)) mod 2))
A165735: 1 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2
((x - (x mod (1 - (((x div 2) div (2 + 1)) * 2)))) div 2)
A194255-A194245: 0 0 1 1 2 2 3 3 4 4 5 5 6 7 7 7
(1 - ((2 - x) div ((((x div 2) mod (2 + 1)) + 2) * 2)))
A216325: 1 1 1 2 2 2 2 3 2 3 2 3 4 4 3 4
(((x - (((x * x) + (x div 2)) div (2 + 1))) div 2) mod 2)
A080679: 0 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1
((x * x) - (((((x * x) div 2) div (2 + 1)) * 2) * 2))
A267489: 0 1 4 5 8 9 12 17 24 29 36 41 48 57 68 77
(((1 - ((x div 2) mod (2 + 1))) mod ((2 + 1) * 2)) - 2)
A135695: ~1 ~1 ~2 ~2 3 3 ~1 ~1 ~2 ~2 3 3 ~1 ~1 ~2 ~2
(((x * x) mod (x - ((x + 1) mod ((2 + 1) * 2)))) mod 2)
A025430: 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1
(((x - (x div ((0 - 2) - 2))) + ((2 + 1) * 2)) * 2)
A126763: 12 16 18 20 22 26
(x - ((2 - (((x div 2) + 2) mod ((2 + 1) * 2))) div 2))
A197354: 0 1 3 4 5 6 8 9 7 8 10 11 12 13 15 16
(x div ((x + 2) div (((x div 2) mod ((2 + 1) * 2)) + 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A190600: 0 1 2 3 4 5 6 7 8 9 10 11 1 1 2 3
((((x + 1) * 2) div ((x mod 2) - ((2 + 1) * 2))) mod 2)
A246142: 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1
((((x div 2) + (x * 2)) - (x mod ((2 + 1) * 2))) * 2)
A328770-A276154: 0 2 6 8 12 14 30 32 36 38 42 44 60 62 66 68
(((((x div ((2 + 2) + 1)) + x) * (2 + 1)) div 2) + 2)
A028731: 2 3 5 6 8 11 12 14 15 17
A268226: 2 3 5 6 8 11 12 14 15 17 20 21 23 24 26 29
((x mod ((((x div (2 + 1)) + x) mod (2 + 1)) + 2)) div 2)
A049320: 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1
(((((x div ((2 + 2) * 2)) + x) * (2 + 1)) div 2) div 2)
A180446: 0 0 1 2 3 3 4 5 6 7 8 9 9 10 11 12
(((x - (((x mod (2 + 2)) + x) mod (2 + 1))) div 2) mod 2)
A165263: 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1
(1 - (((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) * 2))
A309873: 1 ~1 1 1 1 ~1 1 ~1 1 ~1 1 1 1 ~1 1 1
(((x - (x mod ((0 - 2) - (x div (2 + 1))))) div 2) div 2)
A177001: 0 0 0 0 1 1 2 2 2 2 2 3 3 4 4 5
((((x - (x div (0 - 2))) * (x div (2 + 1))) div 2) mod 2)
A011665: 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1
((x - ((((x + 1) div 2) * (x div (2 + 1))) div 2)) mod 2)
A286691: 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1
((((x + 1) * (2 + 1)) mod ((x div (2 + 1)) + 2)) div 2)
A035652: 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 3
(((x div 2) - ((x - 1) div ((x div (2 + 1)) + 2))) mod 2)
A153639: 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1
((((x mod 2) - (x * 2)) mod ((x div (2 + 1)) + 2)) div 2)
A345039: 0 0 0 0 0 0 0 1 0 1 0 2 0 2 1 3
((((0 - x) * (x * 2)) mod ((x div (2 + 1)) + 2)) div 2)
A035665: 0 0 0 0 0 0 0 1 0 1 0 1 0 2 2 2
((((2 - x) - (x div 2)) div ((x div (2 + 1)) + 2)) mod 2)
A246260: 1 0 1 1 0 0 0 0 1 1 1 1 1 1 0 1
(((x - (((x div 2) * x) * (x div (2 + 1)))) div 2) mod 2)
A189632: 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1
(((x - (((x div 2) + 2) * (x mod (2 + 1)))) div 2) mod 2)
A175992-A068933: 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1
((x - (((x * x) + 2) div ((x mod (2 + 1)) + 2))) mod 2)
A145273: 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0
((x + 2) - ((1 - x) div (((x mod (2 + 1)) + 2) + 2)))
A028729: 2 3 5 6 7 8 10 11 12 13 14 15
A158276-A028793-A028753: 2 3 5 6 7 8 10 11 12 13 14 15 17 18 19 21
((((x div 2) + 2) div (2 - ((x mod (2 + 1)) mod 2))) mod 2)
A138709: 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0
(((x + 1) div 2) - (((x - (x mod (2 + 1))) div 2) div 2))
A176839: 0 1 1 2 2 3 2 3 3 3 3 4 3 4 4 5
(((((((x * 2) + 1) * x) * x) * (2 + 1)) div 2) div 2)
A256328: 0 2 15 47 108 206 351 551 816 1154 1575 2087 2700 3422 4263 5231
((((((x mod (2 + 1)) * (1 - x)) div 2) - 1) div 2) mod 2)
A230031-A226206-A219946-A154957-A127970: 1 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1
((((((((x div 2) - 1) div 2) * x) div 2) - 1) div 2) mod 2)
A131364: 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0
((((((((x div 2) + x) - 2) * x) div 2) + 1) div 2) div 2)
A211520: 0 0 0 1 2 3 5 7 10 12 16 19 24 27 33 37
((((((x div 2) mod (2 + 1)) * (x + 2)) - 1) div 2) mod 2)
A342877: 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 0
((((((x div 2) * x) + 2) mod ((x + 2) + 1)) div 2) mod 2)
A239200: 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 0
(((((0 - x) * (x div 2)) div ((x + 2) + 1)) mod 2) + 2)
A071820: 2 2 3 3 2 2 2 3 3 3 2 2 3 3 2 2
((((((x + 2) * x) + 1) * ((x * 2) + 1)) div 2) div 2)
A182260: 0 3 11 28 56 99 159 240 344 475 635 828 1056 1323 1631 1984
(1 - ((((x div (0 - 2)) * ((x * 2) + 1)) div 2) * 2))
A058918: 1 5 7 15 19 35
((((((x - 2) * x) + 2) * ((x * 2) + 1)) div 2) div 2)
A212683: 0 0 2 8 22 46 84 138 212 308 430 580 762 978 1232 1526
((((x mod ((0 - 2) - 1)) * ((x div 2) + 1)) div 2) mod 2)
A295890: 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0
(1 - ((((x - (2 + 2)) div ((x div 2) + 1)) mod 2) * 2))
A339265: 1 ~1 ~1 ~1 1 1 1 1 1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
((x mod (((x - (2 + 2)) mod ((x div 2) + 1)) + 2)) div 2)
A011666: 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0
(((((x * x) * (2 + 2)) div ((x div 2) + 1)) mod 2) + 2)
A093450: 2 2 2 2 3 3 2 3 3 2 2 2 2 2 2 2
(((x - (((x * 2) * 2) div ((x div 2) + 1))) div 2) mod 2)
A081371: 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0
(x - ((2 + 1) mod (1 - ((((x div 2) + 1) div 2) * 2))))
A103303: 0 1 2 3 4 5 6 7 8 9
A305462: 0 1 2 3 4 5 6 7 8 9 12 13 14 15 18 19
((2 + 2) div ((2 - ((x mod ((x div 2) + 1)) div 2)) + 2))
A032576: 1 1 1 1 1 1 1 1 1 2 2 2 2 4 4 4
(((((x + 1) mod (2 + 1)) * ((x div 2) - 1)) div 2) mod 2)
A341754: 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 1
((((1 - (x mod (2 + 1))) * ((x div 2) - 1)) div 2) mod 2)
A287801: 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1
((x div ((0 - (x mod ((2 - (x mod 2)) + 1))) - 2)) mod 2)
A118249: 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1
(((2 - x) div ((x mod ((2 - (x mod 2)) + 1)) + 2)) mod 2)
A120531: 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1
(((((((x div (2 + 2)) + x) * x) div 2) - 1) div 2) mod 2)
A105470: 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1
(((2 mod (((x mod ((x mod 2) + 2)) - x) - 1)) mod 2) + 2)
A171135: 2 2 3 2 3 2 3 3 3 2 3 2 3 3 3 2
((((x * 2) + 1) div (((2 + 1) mod (x + 1)) + 2)) mod 2)
A295891: 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0
((((x * x) * x) div (((2 + 1) mod (x + 1)) + 2)) mod 2)
A078646: 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1
((x div ((((x * x) div (2 + 1)) mod (x + 1)) + 2)) mod 2)
A011667: 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1
(((((((x + 1) div 2) * x) + 1) * (x + 1)) div 2) div 2)
A235355: 0 1 2 7 11 24 33 58 74 115 140 201 237 322 371 484
((x mod (x - ((((x div 2) - 2) * (x + 1)) div 2))) mod 2)
A288512: 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0
(((((x * x) - ((x div 2) mod 2)) * (x + 1)) div 2) + 2)
A057581: 2 3 6 18 42
(((x - (((x div 2) * (x - 2)) div (x + 1))) div 2) + 2)
A126848: 2 2 3 3 4 4 4 5 5 5 5 6 6 6 6 7
((((x - (x div (2 + 2))) div 2) + ((x + 1) * 2)) * 2)
A190002: 4 8 14 18 22 28 32 38 42 46 52 56 60 66 70 76
((((x * x) div ((x div 2) + 2)) * ((x + 1) div 2)) mod 2)
A289165: 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0
(1 - (((1 - ((x * x) div 2)) * ((x + 1) div 2)) div 2))
A185178: 1 1 2 4 8 18
((((2 + 2) + 1) * (x + 1)) + (((x + 1) div 2) div 2))
A115181: 5 10 15 21 26 31 36 42 47 52 57 63 68 73 78 84
(((((x div 2) + x) + 1) div 2) * (((x + 1) div 2) div 2))
A296160: 0 0 0 2 3 4 5 10 12 14 16 24 27 30 33 44
(x - ((x div ((2 + 2) * 2)) + (((x + 1) div 2) div 2)))
A242493: 0 1 2 2 3 4 5 5 5 6 7 7 8 9 10 10
((((x div 2) mod 2) + (x * 2)) - (((x + 1) div 2) div 2))
A047324: 0 2 5 6 7 9 12 13 14 16 19 20 21 23 26 27
((((((x * x) + (2 + 1)) * x) * (x + 1)) + 2) + 2)
A166115: 4 12 46
(((((((2 + 2) * 2) * 2) + x) * (x + 1)) div 2) - 2)
A051940: 6 15 25 36 48 61 75 90 106 123 141 160 180 201 223 246
((((((x * x) * (x * x)) + 1) * (x - 1)) div 2) + 2)
A121194: 1 2 10 84
((((x * 2) - (x div (0 - 2))) * ((x - 1) div 2)) div 2)
A338544: 0 0 0 4 5 13 15 27 30 46 50 70 75 99 105 133
((x * x) - ((((x div 2) + x) * ((x - 1) div 2)) div 2))
A085787: 0 1 4 7 13 18 27 34 46 55 70 81 99 112 133 148
(((x - 1) mod (2 - (((x div 2) div (0 - 2)) div 2))) div 2)
A237584: 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1
((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2)
A325166-A111775-A091979: 0 0 0 0 0 1 0 0 1 1 0 1 0 1 2 0
((((2 - x) + 2) mod (2 - (x div ((0 - 2) - 2)))) div 2)
A085425: 0 0 1 0 0 1 1 0 0 0 2 1 1 1 1 0
((1 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) * 2)
A239896: 0 2 2 4 4 4 4 6 6 6 6 6 6 6 6 8
((2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) * 2)
A191682: 2 4 4 6 6 6 6 8 8 8 8 8 8 8 8 10
((((x - 1) div 2) mod (2 - (x mod ((0 - 2) - 2)))) mod 2)
A296338: 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1
(2 - (((2 - x) div (2 - (x mod ((0 - 2) - 2)))) mod 2))
A030614: 1 2 2 1 1 1 1 2 1 2 2 1 1 1 1 1
(1 - ((((x div (2 + 2)) * (x div (0 - 2))) div 2) div 2))
A029082: 1 1 1 1 2 2 2 2 3 4 4 4 6 7 7 7
(((x + 1) * x) div ((2 - ((x div (0 - 2)) mod 2)) * 2))
A064038: 0 1 3 3 5 15 21 14 18 45 55 33 39 91 105 60
(((((((2 + 2) * 2) * (x + 1)) - 1) * 2) * 2) * 2)
A157330: 56 120 184 248 312 376 440 504 568 632 696 760 824 888 952 1016
(((((((x div 2) * (x + 1)) div 2) - 1) div 2) div 2) + 2)
A029026: 1 1 2 2 3 3 4 4 6 6 8 9 11 12 14 15
((((1 - (x div (((0 - 2) - 2) - 1))) * 2) * 2) * 2)
A242890: 8 16 16 16 16 16 24
((x div ((((((x mod 2) - 2) * 2) + 1) * 2) * 2)) mod 2)
A324828: 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0
((x - (((((x div 2) mod (2 + 2)) - 1) * 2) * 2)) + 2)
A004447: 6 7 4 5 2 3 0 1 14 15 12 13 10 11 8 9
(((x - (((x + 1) div ((2 + 2) + 1)) mod 2)) div 2) mod 2)
A073089: 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1
(((x - (((x + 1) mod ((2 + 2) + 1)) mod 2)) div 2) mod 2)
A269175-A089013: 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1
(x - (((((x div 2) mod ((2 + 2) + 1)) div 2) * 2) * 2))
A132387: 0 1 2 3 0 1 2 3 0 1 10 11 12 13 10 11
(((x div 2) div (((x div ((2 + 2) + 1)) mod 2) - 2)) mod 2)
A072126: 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1
(((((((x - 1) * x) div (2 + 2)) - 1) div 2) div 2) + 2)
A106244: 1 1 1 2 2 3 3 4 5 6 7 8 10 11 13 14
(((x + 2) div ((((x - 2) div (2 + 1)) mod 2) + 2)) mod 2)
A341256-A091446-A091445: 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0
((((x * x) - 1) div (((x mod (2 + 1)) + 2) + 2)) mod 2)
A141095: 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0
((((((x div 2) * x) + (x mod (2 + 1))) div 2) div 2) mod 2)
A154103: 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0
(((x - ((2 - ((x * x) div (2 + 1))) div 2)) div 2) + 2)
A275673: 1 2 3 4 5 6 7 9 11 13 15 17 19 22 25 28
(2 - ((((x - ((x * x) div (2 + 1))) div 2) div 2) div 2))
A120195: 2 2 2 2 3 3 3 4 4 5 5 6 7 8 9 10
((((((x * x) + 2) * ((x + 2) + 1)) div 2) div 2) div 2)
A047866: 0 1 3 8 15 27 42 63 90 124 165 215 273 342 420 510
((((((x + 2) * x) * ((x * 2) + 1)) div 2) div 2) div 2)
A002717: 0 1 5 13 27 48 78 118 170 235 315 411 525 658 812 988
((((((2 - x) div 2) * ((x * 2) - 1)) div 2) div 2) mod 2)
A029411: 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1
((x mod ((((x * x) mod ((x * 2) - 1)) div 2) + 2)) mod 2)
A285830: 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 0
((((((((x div 2) + x) * x) div 2) - 1) div 2) div 2) mod 2)
A262683: 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1
(((((x * x) mod (((2 + 1) * x) - 1)) div 2) div 2) mod 2)
A260445: 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1
((((((x - (x div (0 - 2))) * x) + 1) * 2) * 2) * 2)
A302489: 8 24 56 128
(1 - (((2 - x) * 2) div ((((x + 1) div 2) div 2) + 2)))
A301640: ~1 0 1 2 3 3 4 4 4 5 5 5 5 6 6 6
(((((x div 2) mod 2) + x) - (((x + 1) div 2) div 2)) div 2)
A194220-A189627: 0 0 1 1 1 2 3 3 3 3 4 4 4 5 6 6
(((((x div (2 + 2)) + 1) * ((x - 1) div 2)) div 2) mod 2)
A218218: 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0
(1 - (((x + 1) div 2) div ((((x - 1) div 2) mod 2) + 2)))
A343189: 1 1 1 1 1 0 0 0 0 ~1 ~1 ~1 ~1 ~2 ~2 ~1
((((x div 2) + x) div ((x mod ((0 - 2) - 2)) - 2)) mod 2)
A100821: 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0
((((x + 1) * x) - ((x mod ((0 - 2) - 2)) div 2)) div 2)
A269403: 0 2 3 6 10 16 21 28 36 46 55 66 78 92 105 120
(((x - ((x * x) div ((x div (0 - 2)) - 2))) div 2) + 2)
A073571: 2 3 4 5 6 7 9 10 11 12 14 15 17 18 20 21
((x mod (1 - (((x mod ((2 + 1) * 2)) + 2) * 2))) mod 2)
A289242: 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1
(((((x div 2) - ((x mod (2 + 1)) div 2)) * 2) * 2) * 2)
A174256: 0 0 0 8 16 8 24 24 24 32 40 32 48 48 48 56
((x - (((x - ((x mod (2 + 1)) div 2)) div 2) div 2)) mod 2)
A096270: 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0
((((x - 2) * 2) div ((((x + 1) div 2) div 2) + 2)) mod 2)
A078359: 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0
(2 - ((2 - x) div (((((x + 1) div 2) div 2) div 2) + 2)))
A179390: 1 2 2 3 3 4 4 4 4 5 5 5 6 6 6 6
((x + 1) div ((x div ((((x - 1) div 2) mod 2) + 2)) + 2))
A211272: 0 1 1 1 1 1 1 2 2 1 1 2 2 1 1 2
(((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2) div 2)
A011898: 0 0 0 0 1 3 7 13 21 31 45 61 82 107 136 170
(((x mod (((((x + 1) div 2) div 2) mod 2) + 2)) mod 2) + 2)
A116909: 2 3 2 2 3 2 2 3 2 3 2 2 2 3 2 3
(((2 - (x div (x - (((2 + 2) * 2) * 2)))) div 2) div 2)
A178898: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 4
(((x - ((2 - (x mod ((2 + 2) * 2))) div 2)) div 2) + 2)
A116549: 1 2 3 4 4 5 6 7 5 6 7 8 8 9 10 11
((((x - (x mod ((x mod (2 + 2)) + 2))) div 2) mod 2) + 2)
A188794: 2 2 2 2 2 3 2 2 2 2 2 3 2 2 2 3
(((x * x) div (((((x mod 2) - 2) * 2) * 2) * 2)) mod 2)
A296135-A213729: 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1
((x - (x div ((((x + 2) mod (2 + 2)) + 2) + 2))) mod 2)
A327216: 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0
(((x - 1) div ((((x + 2) mod (2 + 2)) + 2) * 2)) mod 2)
A025900: 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0
(x div (((((x * x) - 1) mod ((2 + 2) * 2)) + 2) * 2))
A271484: 0 0 0 0 0 1 0 1 0 2 1 2 0 3 1 3
((x - ((2 div ((x div 2) - ((2 + 2) * 2))) - 2)) + 2)
A296603-A101107: 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21
((x - ((2 div ((x div 2) - ((2 + 2) * 2))) * 2)) * 2)
A307782-A093161: 4 6 8 10 12 14 16 18 20 22 24 26 28 30 36 38
((2 + 2) div (((x + 1) mod (((2 + 2) * 2) * 2)) + 2))
A261517: 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2
((((x + 1) * x) div 2) mod ((((2 + 2) * 2) * 2) * 2))
A105334: 0 1 3 6 10 15 21 28 4 13 23 2 14 27 9 24
(0 - ((x * x) div (x - ((((2 + 2) * 2) * 2) * 2))))
A067659: 0 1 1 1 1 1 2 2 3 4 5 6 8 9 11 14
(1 - (((2 - x) * x) div ((((2 + 2) * 2) * 2) * 2)))
A018118: 1 1 1 2 2 2 2 3 3 3 4 5 5 6 7 8
(((x * x) * (x * x)) mod ((((2 + 2) * 2) * 2) * 2))
A070575: 0 1 16 17 0 17 16 1 0 1 16 17 0 17 16 1
((2 - (((1 - x) * x) div (((2 + 2) * 2) * 2))) div 2)
A214129-A032739: 1 1 1 1 1 2 2 2 3 3 4 4 5 6 7 8
(((x + 1) div (((2 - x) mod ((2 + 2) * 2)) + 2)) mod 2)
A309768: 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 1
(((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2)
A345060: 0 0 0 0 0 2 0 0 0 2 0 2 0 2 4 0
((x mod (((x + 1) div ((x div (2 + 2)) + 2)) + 2)) div 2)
A191410: 0 0 1 1 0 0 1 1 0 0 1 0 0 0 2 0
((((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2)) mod 2)
A057211: 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0
(((x - ((1 - x) div ((x div (2 + 2)) + 2))) div 2) + 2)
A078489: 2 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11
(((x - 1) mod ((x div ((x div (2 + 2)) + 2)) + 2)) div 2)
A078134: 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 2
(((x - 2) div ((x mod ((x div (2 + 2)) + 2)) + 2)) mod 2)
A336040: 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0
(((x mod (2 + 1)) div (((x div (2 + 2)) mod 2) - 2)) mod 2)
A284848: 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0
(((x * 2) - (((x - (x div (2 + 2))) div 2) mod 2)) + 2)
A286753: 2 4 5 7 9 12 14 15 17 19 22 24 26 27 29 32
((x mod (((x + 2) div ((x mod (2 + 2)) + 2)) + 2)) mod 2)
A288426: 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0
((1 - (x div ((((2 - (x div 2)) div 2) div 2) - 2))) div 2)
A138033: 0 1 1 1 1 2 1 2 2 2 2 2 2 3 2 2
(((((x - 1) * 2) mod (((x div 2) + 2) + 2)) div 2) div 2)
A023969: 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1
(((((x * x) - 2) div (((x div 2) + 2) + 2)) div 2) mod 2)
A211706: 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0
((x mod ((((2 - x) mod ((x div 2) + 2)) div 2) + 2)) div 2)
A157218: 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1
(x div ((((x + 1) mod (((x div 2) mod 2) + 2)) + 2) + 2))
A158925: 0 0 0 0 0 1 1 1 1 2 1 2 2 3 3 3
((x div (x - ((((2 - (x mod 2)) * 2) * 2) * 2))) mod 2)
A225181: 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0
((x div ((((x + 1) mod ((x mod 2) + 2)) + 2) * 2)) + 2)
A084294: 2 2 2 2 2 3 3 2 3 3 3 4 4 3 4 4
(((x - ((x div 2) div (((x mod 2) - 2) - 2))) + 2) + 2)
A146968: 4 5 7
A182757: 4 5 7 8 9 10 11 12 13 15 16 17 18 19 20 22
((x mod ((((x - 1) div (2 + 1)) mod (2 + 2)) + 2)) div 2)
A144196: 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0
((x mod (((2 - (x div (2 + 1))) mod (2 + 2)) + 2)) div 2)
A318950: 0 0 1 0 0 1 0 0 0 2 0 0 0 0 1 0
(x - (((2 - (((x div 2) - 1) mod (2 + 2))) div 2) * 2))
A317613: 2 3 0 1 4 5 6 7 10 11 8 9 12 13 14 15
(((2 - (x div 2)) div (((x + 1) mod (2 + 2)) + 2)) mod 2)
A037813: 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1
(((x - 2) mod ((((2 - x) div 2) mod (2 + 2)) + 2)) mod 2)
A295405: 1 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1
(((x div 2) - (x div (((x + 2) mod (2 + 2)) + 2))) div 2)
A282192: 0 0 0 0 0 0 0 0 1 1 0 1 1 2 0 1
((((x * 2) + 1) mod (((x div 2) mod (2 + 2)) + 2)) div 2)
A245196: 0 0 1 0 0 1 1 0 0 0 0 1 0 1 2 0
((x + 1) div ((x div (((x div 2) mod (2 + 2)) + 2)) + 2))
A190321: 0 1 1 1 1 2 2 2 1 1 2 2 2 2 3 3
((x + 1) div (((x - ((x div 2) mod (2 + 2))) div 2) + 2))
A327104: 0 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2
(0 - (((x + 2) * x) div ((1 - ((2 + 2) * 2)) * 2)))
A061052: 0 1 1 2 2 3 4 5 6 8 9 11 12 14 16 19
((2 - (((x div 2) * x) div (1 - ((2 + 2) * 2)))) div 2)
A029080: 1 1 1 1 2 2 2 2 3 4 5 5 6 7 8 8
(((x + 1) mod (1 - (x mod (1 - ((2 + 2) * 2))))) mod 2)
A337802-A257531-A164292: 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0
(x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A287794-A232360-A158289: 0 1 2 3 4 5 6 7 8 9 8 7 6 5 4 3
(x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A100470: 0 1 2 3 4 5 6 7 8 9 10 10 11 11 12 12
(((x - (((x div 2) mod 2) * 2)) mod ((2 + 2) * 2)) * 2)
A004514: 0 2 0 2 8 10 8 10 0 2 0 2 8 10 8 10
((((x div 2) + 1) * (x + 1)) + (((2 + 2) * 2) * 2))
A295487: 17 18 22 24 31
(((((2 + 1) * x) + 2) * x) div (((2 + 2) * 2) * 2))
A183137: 0 0 1 2 3 5 7 10 13 16 20 24 28 33 38 44
(((x div 2) * 2) div (2 - (x - (((2 + 2) * 2) * 2))))
A185225: 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4
((x - (((x div (0 - 2)) * x) div ((2 + 2) * 2))) mod 2)
A262684: 0 0 1 0 1 1 1 1 0 1 1 0 1 1 1 0
(((x * 2) - (x div (((2 - x) div (2 + 2)) - 2))) + 2)
A246706: 2 5 7 9 12 14 16 18 20 23 25 27 29 31 33 35
(x - ((x + 2) div (((2 - (x div (2 + 2))) + 2) + 2)))
A025556: 0 1 2 3 3 4 5 6 6 7 7 8 8 8 9 10
((((x - 2) * (2 + 1)) div ((x div (2 + 2)) + 2)) mod 2)
A266441: 1 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1
(((((1 - x) * x) + 1) mod ((x div (2 + 2)) + 2)) mod 2)
A300294: 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1
(((((x * 2) - 1) * 2) div ((x div (2 + 2)) + 2)) mod 2)
A328682: 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1
(((((2 - x) + 1) * 2) div ((x div (2 + 2)) + 2)) mod 2)
A189215: 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1
((((x mod (2 + 2)) * 2) div ((x div (2 + 2)) + 2)) mod 2)
A135993: 0 1 0 1 0 0 1 0 0 0 1 1 0 0 0 1
(((((x div 2) + x) - 2) mod ((x div (2 + 2)) + 2)) mod 2)
A324823: 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0
(((((x div 2) * x) - 2) mod ((x div (2 + 2)) + 2)) div 2)
A309162: 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1
((((x * x) * (x - 2)) mod ((x div (2 + 2)) + 2)) div 2)
A085857: 0 0 0 0 1 0 0 1 0 1 0 0 0 2 1 0
(1 div (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)))
A073424: 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1
(1 mod (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)))
A326017-A306269-A123110-A114607: 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0
(1 div (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))))
A154990: 1 ~1 1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 ~1 ~1 ~1 1 ~1
(((2 - ((x div 2) * x)) div ((x div (2 + 2)) + 2)) mod 2)
A178225: 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1
(x div ((2 - (x mod (1 - ((x div (2 + 2)) * 2)))) + 2))
A161283-A161258-A161230-A161054: 0 0 0 0 1 1 1 1 1 2 1 2 1 2 2 3
(x - ((((2 - x) div 2) - ((x div (2 + 2)) mod 2)) div 2))
A039137: 0 1 2 4 5 7 8 9 10 11 12 14 15 17 18 19
((((x * 2) - 1) mod ((x - (x div (2 + 2))) + 2)) mod 2)
A244528: 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1
((((x * 2) * 2) - ((x - (x div (2 + 2))) div 2)) + 2)
A054770: 2 6 9 13 17 20 24 27 31 35 38 42 46 49 53 56
((((x mod 2) * (x + 2)) div ((x mod (2 + 2)) + 2)) div 2)
A308066: 0 0 0 0 0 1 0 0 0 1 0 1 0 2 0 1
(((x - ((2 - (((x div 2) + x) div 2)) div 2)) div 2) mod 2)
A141687: 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0
(1 - ((((2 - (((x div 2) * x) div 2)) div 2) div 2) div 2))
A029083: 1 1 1 1 2 2 2 2 3 3 4 5 6 6 7 8
(x - ((((((2 - x) div 2) * (x + 2)) div 2) div 2) - 2))
A240767: 2 3 4 7 8 11 12 16
((((((x * x) * (x + 2)) * (x + 2)) div 2) div 2) div 2)
A105636: 0 1 8 28 72 153 288 496 800 1225 1800 2556 3528 4753 6272 8128
(((((((x * x) * x) div 2) * (x + 2)) div 2) div 2) div 2)
A330520: 0 0 2 8 24 54 108 192 320 500 750 1080 1512 2058 2744 3584
((((((x * x) * x) - 1) mod ((x + 2) + 2)) div 2) mod 2)
A068433: 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1
(((x - ((1 - (x div 2)) mod ((x + 2) + 2))) div 2) mod 2)
A086694: 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1
((((x * x) * (x + 1)) div (((x + 2) + 2) + 2)) mod 2)
A189640: 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1
(((((((2 + 2) * 2) + x) * (x + 2)) - 2) - 2) * 2)
A154590: 24 46 72 102 136 174 216 262 312 366 424 486 552 622 696 774
(((((((x + 2) * 2) + x) * (x + 2)) div 2) div 2) + 2)
A132297: 4 7 12 18 26 35 46 58 72 87 104 122 142 163 186 210
(((x div 2) + x) - ((((2 - (x div 2)) div 2) div 2) - 2))
A280771: 2 3 5 6 8 9 12 13 15 16 18 19 21 22 25 26
((((x * x) - (((x mod 2) - (x div 2)) div 2)) div 2) div 2)
A194256-A194246: 0 0 1 2 4 6 9 12 16 20 25 30 36 43 50 57
((x mod ((((x * 2) + 1) mod ((x div 2) + 2)) + 2)) mod 2)
A246656: 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1
(x mod (((((x * 2) * 2) div ((x div 2) + 2)) + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A133048-A054055: 0 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5
((x - (x div (((x - 2) div ((x div 2) + 2)) + 2))) mod 2)
A284388: 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0
((((x - ((x * x) * 2)) mod ((x div 2) + 2)) div 2) mod 2)
A169672: 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1
(((((x + 2) * x) - 1) div (((x div 2) + 2) + 2)) + 2)
A066077: 1 2 3 4 5 7 8 10 11 14 15 17 18 21 22 25
((((2 + 2) * (x - 1)) div (((x div 2) + 2) + 2)) mod 2)
A303709-A112526-A102354-A075802: 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1
((((x div 2) - ((2 - x) div ((x div 2) + 2))) div 2) + 2)
A196390: 1 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6
((x + 1) div ((((x + 1) div ((x mod 2) + 2)) div 2) + 2))
A032358: 0 1 1 2 1 2 2 2 2 3 2 3 2 3 3 4
(x - ((1 - x) div ((x div (((x mod 2) + 2) + 2)) + 2)))
A081690: 0 1 3 4 5 7 8 9 10 12 13 14 15 16 17 18
(((((x div 2) + x) * x) div (((x mod 2) + 2) + 2)) mod 2)
A343219: 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0
((((x + 1) * x) - (x mod (((x mod 2) - 2) * 2))) div 2)
A116996: 0 1 4 6 10 15 22 28 36 45 56 66 78 91 106 120
((((((x - 1) div 2) - ((x * x) div 2)) div 2) div 2) mod 2)
A102511: 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 1
(x - ((((x + 2) * 2) * 2) div (1 - ((2 + 2) * 2))))
A186225: 2 3 5 6 8 9 11 13 14 16 17 19 20 22 24 25
(1 - (((x div (2 + 2)) * x) div (1 - ((2 + 2) * 2))))
A029079: 1 1 1 1 2 2 2 2 4 4 4 5 7 7 7 8
(((x mod 2) + 2) div (2 - (x mod (1 - ((2 + 2) * 2)))))
A277349-A127841: 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0
((x + 2) div ((x div ((0 - 2) - 2)) + ((2 + 2) * 2)))
A072613: 0 0 0 0 0 1 1 1 1 2 2 2 2 3 4 4
((x * 2) - (x mod ((x div (2 + 2)) + ((2 + 2) * 2))))
A103303: 0 1 2 3 4 5 6 7 8 9
A247803: 0 1 2 3 4 5 6 7 8 9 20 21 23 24 25 26
(x - ((x div (2 + 2)) div ((x div 2) - ((2 + 2) * 2))))
A165332-A031179: 0 1 2 3 5 6 7 8 9 10 11 12 14 15 17 18
(((((x * 2) div (2 + 1)) + 1) * x) div ((2 + 2) * 2))
A051602: 0 0 0 1 1 2 3 4 6 7 8 11
(((x div (((2 + 2) * 2) + 1)) + x) + ((2 + 2) * 2))
A089017: 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24
(((x div ((2 + 2) * (2 + 1))) + x) * ((2 + 2) * 2))
A061824: 0 8 16 24 32 40 48 56 64 72 80 88 104 112 120 128
((((x * 2) mod ((x div 2) + 2)) + x) div ((2 + 2) * 2))
A220091: 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 2
(x - (((2 - (x div 2)) div 2) * (x div ((2 + 2) * 2))))
A084689: 0 1 2 3 4 5 6 7 9
A063949: 0 1 2 3 4 5 6 7 9 10 12 13 14 15 17 18
(((x - 1) mod (2 + 1)) div (2 - (x div ((2 + 2) * 2))))
A025850: 1 0 0 1 0 0 1 0 1 2 0 1 2 0 1 2
(((((x - 2) div ((2 + 2) + 1)) * x) div (2 + 2)) mod 2)
A330306: 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1
((x - ((((1 - x) mod (2 + 1)) + x) div (2 + 2))) mod 2)
A139689: 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1
(((x * 2) - (((x mod (2 + 1)) - x) div (2 + 2))) + 2)
A184978: 2 4 6 9 11
A284365: 2 4 6 9 11 13 16 18 20 23 25 27 29 31 33 36
(((((x div ((2 + 2) + 1)) + 2) * x) div (2 + 2)) mod 2)
A257000: 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0
(x - (((((x mod (2 + 1)) div 2) - x) div (2 + 2)) - 2))
A085302: 2 4 5 6 7 8 10 11 12 14 15 16 17 19 20 21
(((x div (2 + 2)) + x) - (((2 - x) div (2 + 2)) * 2))
A192225: 0 1 2 5
A047388: 0 1 2 5 7 8 9 12 14 15 16 19 21 22 23 26
((((x * x) * 2) div (((x div 2) * x) - (2 + 2))) mod 2)
A258822: 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0
(x - (((x div ((2 + 2) + 1)) + (x div (2 + 2))) * 2))
A304111: 0 1 2 3 2 1 2 3 2 3 2 3 2 3 4 3
((x - (x div (((2 + 2) * 2) - (x div (2 + 2))))) mod 2)
A288466: 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0
(1 - ((((2 - x) div (2 + 2)) * (x div (2 + 2))) div 2))
A029084: 1 1 1 1 2 2 2 2 3 3 3 4 6 6 6 7
((x - 1) mod (1 - (((x mod 2) - (x div (2 + 2))) div 2)))
A194591: 0 0 0 0 1 0 1 0 1 0 1 0 2 0 1 0
(((x div ((0 - 2) - 2)) mod 2) - ((x div (2 + 2)) mod 2))
A046978: 0 1 1 1 0 ~1 ~1 ~1 0 1 1 1 0 ~1 ~1 ~1
(((((x + 1) div 2) div 2) mod 2) + ((x div (2 + 2)) mod 2))
A334889: 0 0 0 1 2 2 2 1 0 0 0 1 2 2 2 1
(2 div (2 - (((x div (2 + 2)) - (x mod (2 + 2))) div 2)))
A025860: 1 0 0 0 1 1 0 0 2 1 1 0 2 2 1 1
((((x + 2) * (x + 1)) - ((x * x) div (2 + 2))) div 2)
A265429: 1 3 5 9 13 18 23 30 37 45 53 63 73 84 95 108
((((x * x) * (x * x)) div (((0 - x) - 2) * 2)) mod 2)
A130853: 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1
(x mod ((((((x div 2) mod (2 + 1)) * x) div 2) mod 2) + 2))
A101670: 0 1 2 0 0 2 0 1 0 1 0 2 0 1 2 0
((((2 - (x * x)) mod (((2 + 1) * x) + 2)) div 2) mod 2)
A289174: 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0
((x - 1) mod ((((((x div 2) - 1) * x) div 2) mod 2) + 2))
A179759: 1 0 1 0 1 0 1 0 1 2 1 0 1 0 1 2
(((x - (((x div (2 + 1)) * (1 - x)) div 2)) + 2) + 2)
A295485: 4 5 6 8 10 11 15
((x - ((x mod (2 - (((x + 1) * x) div 2))) div 2)) div 2)
A024174: 0 0 1 2 3 4 6 8 10 13 16 19 22 25 29 33
((2 - (((((x div (0 - 2)) - 2) * x) div 2) div 2)) div 2)
A173151: 1 1 2 2 3 4 5 6 7 9 10 12 13 16 17 20
(((((((2 - x) * x) + (2 + 2)) * x) + 2) * 2) * 2)
A202290: 8 28 40 20
(((((((2 + 1) mod (x + 2)) + 2) * x) + 2) + 2) * 2)
A117802: 8 12 28 38 48 58 68 78 88 98 108 118 128 138 148 158
((((((x div (2 + 2)) + 2) * (2 - x)) div 2) div 2) mod 2)
A024375: 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1
(1 - ((((x * x) div (x - ((2 - x) div 2))) mod 2) * 2))
A212159: 1 ~1 1 1 ~1 ~1 1 1 ~1 1 ~1 ~1 1 1 ~1 1
(1 - ((x mod ((((2 - (x div 2)) * x) div 2) - 2)) mod 2))
A342892: 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0
((((((x + 2) * (2 + 1)) + 1) * (x + 2)) div 2) + 2)
A285009: 9 17 28 42 59 79 102 128 157 189 224 262 303 347 394 444
((((((x div (2 + 1)) - 2) - 1) mod (x + 2)) mod 2) + 2)
A178775: 3 2 3 3 2 3 3 2 3 2 2 2 3 3 3 2
(((2 - (((x * x) * (x - 1)) div (x + 2))) div 2) mod 2)
A100672-A080813: 1 1 0 1 1 0 0 1 1 0 1 0 0 1 1 0
((((((x * x) * (x * x)) - 1) div (x + 2)) div 2) mod 2)
A326822: 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0
((((((x div (2 + 1)) - 2) - 2) mod (x + 2)) div 2) mod 2)
A295893: 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0
((((((x + 1) * x) div (2 + 2)) mod (x + 2)) div 2) mod 2)
A316717: 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0
(2 - (x - (((((x + 2) + 2) * (x + 2)) + 2) * 2)))
A100039: 22 35 52 73 98 127 160 197 238 283 332 385 442 503 568 637
((((((2 mod (x + 1)) + x) + 2) * (x + 2)) div 2) div 2)
A064796: 1 2 6 8 12 15 20 24 30 35 42 48 56 63 72 80
(((((x + 2) * (x + 2)) + 1) * ((x + 2) + 2)) div 2)
A072277: 10 25 51 91 148 225 325 451 606 793 1015 1275 1576 1921 2313 2755
((((((x * 2) * 2) - 1) * 2) div ((x + 2) + 2)) + 2)
A108852: 1 3 4 5 5 6 6 6 7 7 7 7 7 8 8 8
(1 - ((((2 - x) * (x div 2)) div ((x + 2) + 2)) * 2))
A101435: 1 1 1 3 3 3 5 5 5 7 7 7 9 9 11 11
(((((((x + 2) * 2) * 2) + x) * (x + 2)) div 2) div 2)
A101424: 4 9 18 28 42 57 76 96 120 145 174 204 238 273 312 352
(x - ((((1 - ((x * x) * x)) * (x - 2)) div 2) div 2))
A309889: 1 1 2 10 36
((x - (((x * x) * x) div ((1 - (x * 2)) * 2))) mod 2)
A224326: 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 0
(((((x + 2) + 1) * x) div 2) + (((x * 2) * 2) * 2))
A051942: 0 10 21 33 46 60 75 91 108 126 145 165 186 208 231 255
((x - (((x div ((0 - 2) - 2)) * (x div 2)) div 2)) mod 2)
A030190: 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1
(x - (((((x div (2 + 2)) + 2) * (x div 2)) div 2) div 2))
A056792: 0 1 2 3 3 4 4 5 4 5 5 6 5 6 6 7
(((x * 2) - (((x mod (2 + 2)) + (x div 2)) div 2)) + 2)
A047315: 2 4 5 6 9 11 12 13 16 18 19 20 23 25 26 27
((x - (1 mod ((((2 - x) * 2) + (x div 2)) * 2))) + 2)
A075123: 1 2 3 6 9 14 17 22 25 30 33 38 41 46 49 54
((((x * x) div (2 - ((x div 2) * (x div 2)))) mod 2) + 2)
A145193: 2 2 2 3 2 3 2 3 3 2 3 2 3 3 3 3
(((x + 1) div (1 - (((x mod 2) - (x div 2)) div 2))) mod 2)
A316675-A274537-A238414-A124747: 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0
(((((x mod (2 + 2)) * 2) + 1) mod ((x div 2) + 2)) mod 2)
A030657: 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1
((((x div (2 + 1)) * (x + 1)) div ((x div 2) + 2)) mod 2)
A118953: 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0
((((((x * x) - 1) * x) - 2) div ((x div 2) + 2)) mod 2)
A253084-A113998: 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1
(((((x * x) + 1) * (x + 2)) div ((x div 2) + 2)) mod 2)
A323511: 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0
(((((x * x) + 2) div (x + 2)) mod ((x div 2) + 2)) mod 2)
A265695: 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 0
(((x + 1) div 2) - ((x * 2) div (((x div 2) + 2) + 2)))
A053266: 0 1 1 1 1 2 2 2 2 3 3 4 4 5 5 6
(1 - (((2 - x) * (x div 2)) div (((x div 2) + 2) + 2)))
A025768: 1 1 1 2 2 2 3 4 4 5 6 6 7 8 9 10
(((x + 1) * (2 + 1)) - (x div (((x div 2) + 2) + 2)))
A003252: 3 6 9 12 15 18 21 23 26 29 32 35 38 41 44 47
(((((x - 2) div (2 + 1)) - x) mod ((x div 2) + 2)) mod 2)
A186715: 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1
((((x div ((2 + 2) * 2)) - x) mod ((x div 2) + 2)) div 2)
A130634: 0 0 0 0 0 1 2 1 2 2 2 2 2 2 2 2
(x - (((x div 2) - ((2 - x) div ((x div 2) + 2))) div 2))
A094331: 1 1 2 2 3 4 4 5 6 6 7 8 8 9 10 11
((((x - ((2 - x) * 2)) * x) div ((x div 2) + 2)) mod 2)
A190201: 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 0
((((x + 2) + 1) * x) div ((2 - ((x div 2) mod 2)) * 2))
A160050: 0 1 5 9 7 10 27 35 22 27 65 77 45 52 119 135
(2 - ((((x div 2) + x) div 2) mod (((x div 2) mod 2) + 2)))
A189996: 2 2 1 0 1 1 1 0 2 2 1 0 1 1 1 0
(((((x div 2) + x) div 2) + x) - (((x div 2) mod 2) - 2))
A047300: 2 3 4 6 9 10 11 13 16 17 18 20 23 24 25 27
(1 - ((x * x) mod (2 - (x - (((x div 2) mod 2) * 2)))))
A243339: 1 1 1 1 1 3 1 3 3 4
(((x + 1) div 2) - (x div (((2 - (x mod 2)) + 2) + 2)))
A189671: 0 1 1 2 2 2 2 3 3 4 4 4 4 5 5 5
(((1 - (x * 2)) mod (((x div 2) - (x mod 2)) + 2)) mod 2)
A068428: 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1
((((x div 2) - (x mod 2)) + 2) mod (((x mod 2) + 2) + 2))
A190451: 2 1 3 2 0 3 1 4 2 0 3 1 0 2 1 3
(((x + 2) div (2 + 1)) - (x div (((x mod 2) + 2) * 2)))
A082498: 0 1 1 1 1 2 1 2 1 2 2 3 1 3 2 3
(((((x * 2) + 1) div ((2 + 2) + 1)) + 1) mod (2 + 2))
A084053: 1 1 2 2 2 3 3 0 0 0 1 1 2 2 2 3
((x - (((x div (2 + 1)) mod (2 + 1)) * 2)) mod (2 + 2))
A051329: 0 1 2 1 2 3 2 3 0 1 2 3 2 3 0 3
(((((x div 2) + 2) * ((x div 2) + 1)) div 2) mod (2 + 2))
A133884: 1 1 3 3 2 2 2 2 3 3 1 1 0 0 0 0
(((((((x * x) * 2) + 1) * 2) + 1) * x) * (2 + 2))
A271636: 0 28 152 468 1072 2060 3528 5572 8288 11772 16120 21428 27792 35308 44072 54180
(x - ((((x + 2) mod ((2 + 2) + 1)) - x) div (2 + 2)))
A138083: 0 1 2 4 5 6
A127428: 0 1 2 4 5 6 7 8 10 11 12 13 14 17 18 19
((((((x * 2) + 1) * 2) * (2 + 1)) - x) * (2 + 2))
A304157: 24 68 112 156 200 244 288 332 376 420 464 508 552 596 640 684
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * (2 + 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A024660: 0 1 2 3 4 5 6 7 8 9 50 51 52 53 54 55
(((((x * x) - 1) mod ((2 + 1) * 2)) + x) div (2 + 2))
A025799: 1 0 1 1 1 1 2 1 2 2 3 2 4 3 4 4
(((x + 1) div ((((2 + 2) * 2) * 2) - x)) div (2 + 2))
A098841: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4
(((((x div (2 + 2)) - 1) mod (2 + 2)) + x) div (2 + 2))
A199575: 0 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4
((x * 2) - ((((x div 2) mod (2 + 2)) + x) div (2 + 2)))
A244222: 0 2 4 5 7 9 10 12 14 16 18 19 21 23 24 26
(x - (((((1 - x) * x) div (2 + 2)) + x) div (2 + 2)))
A067570: 0 1 2 3 4 5 7
A135675: 0 1 2 3 4 5 7 8 10 12 14 16 18 20 22 25
((x * x) div ((((x * x) div (2 + 2)) - x) + (2 + 2)))
A085600: 0 0 1 3 4 5 5 5 5 5 5 5 5 5 5 5
((((((x + 1) * x) + 2) * (x + 2)) + x) div (2 + 2))
A319006: 1 3 8 18 34 57 89 132 187 255 338 438 556 693 851 1032
((((2 + 1) * x) div ((2 + 2) + 1)) - (x div (2 + 2)))
A277194: 0 0 1 1 1 2 2 3 2 3 4 4 4 4 5 6
(((x * x) + 1) div (((x + 2) * 2) - (x div (2 + 2))))
A105098: 0 0 0 1 1 2 2 2 3 4 4 5 5 6 6 7
((((x div (((2 + 2) * (2 + 1)) + 1)) + x) + 2) * 2)
A325038: 4 6 8 10 12 14 16 18 20 22 24 26 28 32 34 36
(((((x * x) div (((2 + 1) * 2) + 1)) + x) div 2) - 2)
A251418: ~2 ~2 ~1 0 1 2 3 5 6 8 10 12 14 16 19 21
(((((2 - x) mod (((x + 1) div 2) + 1)) + x) div 2) div 2)
A327469: 0 0 0 1 1 1 1 1 3 3 3 4 4 4 4 5
(x - ((((((x div (2 + 2)) mod 2) - 1) - x) div 2) * 2))
A097757-A001422: 2 3 6 7 8 11 12 15 18 19 22 23 24 27 28 31
(((x * x) mod ((((x * 2) div (2 + 1)) + x) - 2)) mod 2)
A202238: 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0
((2 - ((2 - (x * x)) div (((2 + 1) * x) + 2))) * 2)
A207540: 2 4 6 6 6 8 8 10 10 10 12 12 12 14 14 14
(((2 - (x mod (2 - ((x div (2 + 1)) * x)))) div 2) mod 2)
A072418: 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0
((x - (((((x + 2) + 2) + 1) * (1 - x)) * 2)) * 2)
A277981: ~20 2 32 70 116 170 232 302 380 466 560 662 772 890 1016 1150
(((x * 2) - ((((x div 2) div (0 - 2)) - x) div 2)) + 2)
A247426: 2 5 8 10 13 15 18 21 23 26 29 31 34 36 39 42
(((((x - 2) mod ((x div (2 + 1)) + 2)) + x) div 2) mod 2)
A189687: 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0
((((x div (2 - (x mod ((0 - 2) - 2)))) + x) div 2) mod 2)
A011656: 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0
((((x mod ((x div ((0 - 2) - 2)) - 2)) - x) div 2) mod 2)
A037801: 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1
((2 - ((((((x - 1) div 2) div 2) div 2) - x) div 2)) + 2)
A092279: 5 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11
((x - (x div (((((2 + 2) * 2) * 2) - x) * 2))) div 2)
A337853: 0 0 1 1 2 2 3 3 4 4 5 5 5 5 5 4
(x - (((((2 - (x div (2 + 2))) div 2) - x) div 2) - 2))
A184590: 2 3 5 6 8 10 11 13 14 16 17 19 21 22 24 25
((((2 - (x div ((x mod (2 + 2)) + 2))) * x) div 2) mod 2)
A213676: 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0
((2 - (((((1 - x) * x) div (2 + 2)) - x) div 2)) div 2)
A029021: 1 1 2 2 3 3 4 5 6 8 9 11 12 14 16 18
((((((x * x) * 2) div ((x + 2) + 2)) - x) div 2) mod 2)
A200263: 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0
((2 - (((((1 - x) * (x div 2)) div 2) - x) div 2)) div 2)
A029022: 1 1 2 2 3 3 4 5 6 7 9 10 12 13 16 17
((((((x div 2) div (2 + 1)) + 1) * (2 - x)) div 2) mod 2)
A071004: 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0
((x - (((x * x) + 1) div (((x div 2) + x) + 2))) + 2)
A177876: 2 3 3 4
A143502: 2 3 3 4 4 5 5 5 6 6 7 7 7 7 8 8
((((x mod (((x mod 2) + 1) * 2)) + 1) * (x + 2)) div 2)
A176743: 1 3 2 10 3 7 4 18 5 11 6 26 7 15 8 34
(((((x div 2) * x) * ((2 + 2) + 1)) div (x + 2)) mod 2)
A093385: 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0
(((x div 2) - ((((x - 2) * 2) - 1) div (x + 2))) div 2)
A056970: 1 0 1 0 1 1 1 1 1 1 2 2 2 2 3 3
(((((2 - x) * (2 + 1)) * (2 + 1)) div (x + 2)) mod 2)
A325896: 1 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1
((((((x * x) * 2) + 1) div (2 + 1)) mod (x + 2)) mod 2)
A080110: 0 1 1 1 1 1 0 0 1 0 1 1 0 0 1 0
((((((x * x) * 2) - 1) div (2 + 1)) mod (x + 2)) mod 2)
A080111: 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1
(((1 - ((x div 2) - (x mod (2 + 1)))) mod (x + 2)) mod 2)
A029408: 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1
((((((x div (2 + 2)) + x) div 2) - 1) mod (x + 2)) mod 2)
A092130: 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0
(((((((2 + 1) * 2) + 1) * x) + 1) * (x + 2)) div 2)
A131874: 1 12 30 55 87 126 172 225 285 352 426 507 595 690 792 901
((((((2 - x) + (2 + 2)) * x) + 1) * (x + 2)) div 2)
A028494: 1 9 18 25 27 21 4 ~27 ~75 ~143 ~234 ~351 ~497 ~675 ~888 ~1139
(((((2 - (x div 2)) * (x * x)) + 1) div (x + 2)) mod 2)
A261185: 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1
(((x div ((((x div 2) mod 2) - 2) - 2)) mod (x + 2)) div 2)
A100196: 0 1 1 2 2 2 3 3 4 4 4 4 5 5 5 6
((x - ((x - ((x * x) * (2 + 2))) div (x + 2))) div 2)
A047932: 0 1 3 5 7 9 12 14 16 19 21 24 26 29 31 34
(x - (((2 - ((x * x) div (2 + 2))) div (x + 2)) - 2))
A276212: 1 3 4 5 7 8 9 11 12 13 14 16 17 18 19 21
((((2 - (((x div 2) + x) div 2)) div 2) mod (x + 2)) mod 2)
A157686: 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0
(((x * x) * 2) div ((((x div 2) + 2) * (x + 2)) div 2))
A262558: 0 0 1 2 2 3 3 4 4 4 4 5 5 5 5 5
((((((x div 2) + x) * (x div 2)) + 2) div (x + 2)) mod 2)
A118175: 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1
(((((x mod ((2 + 1) * 2)) * x) + 2) div (x + 2)) mod 2)
A317595: 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0
((((((2 - (x div 2)) div 2) - x) div 2) mod (x + 2)) div 2)
A059396: 0 0 1 1 2 2 2 2 2 3 3 3 3 3 3 4
(((((x - 1) div (2 + 1)) * (x - 2)) div (x + 2)) mod 2)
A025908: 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1
((2 - ((((2 - x) + 1) * (x div 2)) div (x + 2))) + 2)
A138195: 4 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9
(((((x * x) * x) - ((x * x) div 2)) * (x + 2)) div 2)
A212682: 0 1 12 57 168 395 792 1435 2400 3789 5700 8261 11592 15847 21168 27735
((((((x mod 2) + 2) + 2) * x) + 1) div ((x + 2) + 2))
A331362: 0 1 1 2 2 2 2 3 2 3 2 3 3 3 3 4
(((x * x) - (((x mod 2) - 2) * 2)) div ((x + 2) + 2))
A083058: 1 0 1 1 2 3 4 4 5 6 7 8 9 10 11 11
(((x * x) mod ((x mod (2 + 2)) + 1)) + ((x + 2) * 2))
A159619: 4 7 9 11 12 15 16 19 20 23 25 27 28 31 33 35
((((x div 2) + x) div ((2 + 2) * 2)) + ((x + 2) * 2))
A258036: 4 6 8 10 12 14 17 19 21 23 25 28 30 32 34 36
((((2 - (x div 2)) * x) div (x + 2)) + ((x + 2) * 2))
A248419: 4 6 8 10 12 14 15 17 18 20 21 23 24 26 27 29
(((((2 + 1) * 2) + 1) * (x div 2)) + ((x + 2) * 2))
A106387: 4 6 15 17 26 28 37 39 48 50 59 61 70 72 81 83
((((x * 2) div ((2 + 2) + 1)) + x) + ((x + 2) * 2))
A125620: 4 7 10 14
A184625: 4 7 10 14 17 21 24 27 31 34 38 41 44 48 51 55
(2 - ((((x - (x div (2 + 1))) * x) div (x + 2)) mod 2))
A323116: 2 2 1 1 2 2 1 1 2 2 1 2 2 1 2 2
(((((2 - x) mod ((x div 2) + 1)) + x) * (x + 2)) div 2)
A106668: 0 1 4 10 15 17
(((((x + 2) mod ((2 + 1) * 2)) * x) div (x + 2)) mod 2)
A215530: 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0
(((((((x div 2) + x) + 1) div 2) * x) div (x + 2)) * 2)
A285999: 0 0 2 2 4 4 6 6 8 10 12 12 14 16 18 18
((((1 - x) - (x * 2)) * (1 mod (1 - (x * 2)))) * 2)
A187156: 0 0 20 64 132 224 340 480 644 832 1044 1280 1540 1824 2132 2464
((1 - (((x * x) * (x + 1)) div (1 - (x * 2)))) div 2)
A194174: 0 1 2 4 6 9 12 16 20 24 29 35 41 48 55 63
((x - ((x * x) div (1 - ((x div 2) + (x * 2))))) + 2)
A186157: 2 4 5 7 8 10 11 13 14 15 17 18 19 21 22 24
(((((x + 2) + 1) * (x + 2)) div 2) + ((x * 2) * 2))
A051938: 3 10 18 27 37 48 60 73 87 102 118 135 153 172 192 213
((((((x div 2) + x) div 2) + x) div 2) + ((x * 2) * 2))
A172324: 0 4 9 14 19 24 29 34 39 43 48 53 58 63 68 73
((((2 - (x div 2)) div (x + 2)) + x) + ((x * 2) * 2))
A313730: 1 5 10 15 20 25 29 34 39 44 49 54 59 64 69 74
((x - (((x * x) * x) div ((2 - x) - (x * 2)))) div 2)
A101433: 0 1 2 3 5 7 10 13 16 19 23 27 31 36 41 47
(((((x div 2) - ((x mod 2) * 2)) + 1) * (x div 2)) + 2)
A338042: 2 2 4 2 8 4 14 8 22 14 32 22 44 32 58 44
((((((x mod 2) + x) * x) * (2 + 1)) - (x div 2)) * 2)
A014633: 0 12 22 70 92 176 210 330 376 532 590 782 852 1080 1162 1426
(((((x + 1) * x) * ((x * 2) + 1)) + (x div 2)) div 2)
A219085: 0 3 15 42 91 166 274 421 614 857 1157 1520 1953 2460 3048 3723
(((x + 1) * x) - ((((x div 2) + 1) * (x div 2)) div 2))
A274830: 0 2 5 11 17 27 36 50 62 80 95 117 135 161 182 212
((((((2 + 2) * 2) * 2) mod (x + 1)) + (x div 2)) div 2)
A077819: 0 0 1 0 1 3 2 1 5
((((x div 2) + 2) div (((2 + 2) * 2) - (x div 2))) div 2)
A319403: 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 4
((((2 - (x div (2 + 1))) mod (2 + 2)) + (x div 2)) div 2)
A195851-A029127: 1 1 1 1 1 1 1 1 2 3 4 4 4 4 4 4
(x - (((x * x) div (((x + 2) * 2) - (x div 2))) - 2))
A196162: 2 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9
(1 - (x div (((x div ((x mod 2) + 2)) - (x div 2)) - 2)))
A330393: 1 2 2 3 3 3 4 4 5 4 6 4 7 5 8 5
(((x div 2) div (((2 + 1) * 2) + 1)) * ((x div 2) + 2))
A305503: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9
(x div (x - ((((x * x) * x) + 1) mod ((x div 2) + 2))))
A327103-A060128-A055090: 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1
(((((x div 2) * x) div (2 + 1)) + 2) div ((x div 2) + 2))
A225956-A169995-A169994-A169993-A169992-A169991-A053693-A032229-A000700: 1 1 0 1 1 1 1 1 2 2 2 2 3 3 3 4
(1 - (x div (0 - (((x + 1) * 2) div ((x div 2) + 2)))))
A056155: 1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6
(((x + 1) div 2) - (((x - 1) * 2) div ((x div 2) + 2)))
A029122: 1 1 1 1 1 1 1 2 2 3 3 4 4 4 5 5
((x div ((1 - ((2 + 2) * 2)) * 2)) mod ((x div 2) + 2))
A176841-A176814: 0 1 2 2 3 3 4 4 5 5 6 6 7 7 8 7
((((((x * 2) * 2) - 1) * x) * x) + ((x div 2) * 2))
A211617: 0 3 30 101 244 479 834 1329 1992 2843 3910 5213 6780 8631 10794 13289
(((x + 2) div ((x div (2 + 2)) + 2)) - ((x div 2) mod 2))
A232551: 1 1 1 1 2 2 1 2 2 2 2 2 2 3 2 2
((((x div 2) - ((x mod 2) * x)) div 2) + ((x div 2) mod 2))
A131730: 0 ~1 1 0 1 ~2 2 ~1 2 ~3 3 ~2 3 ~4 4 ~3
(((((x div (2 + 2)) + x) * (2 + 1)) + (x mod 2)) div 2)
A327492: 0 2 3 5 7 9 10 12 15 17 18 20 22 24 25 27
(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2)
A005187: 0 1 3 4 7 8 10 11 15 16 18 19 22 23 25 26
((x - ((x div (0 - 2)) * (2 + 1))) div ((x mod 2) + 2))
A340709: 0 1 2 3 5 4 7 6 10 8 12 9 15 11 17 13
(((x * 2) mod ((x div (2 + 1)) + 2)) div ((x mod 2) + 2))
A083915-A083892: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 2 0
((((x mod (2 + 1)) div 2) * (2 + 1)) + ((x mod 2) * 2))
A178142: 0 2 3 2 0 5 0 2 3 2 0 5 0 2 3 2
((((x * 2) div (2 + 1)) + 1) * (1 - ((x mod 2) * 2)))
A168052: 1 ~1 2 ~3 3 ~4 5 ~5 6 ~7 7 ~8 9 ~9 10 ~11
((((x * x) * (x + 2)) div 2) * (1 - ((x mod 2) * 2)))
A269429: 0 ~1 8 ~22 48 ~87 144 ~220 320 ~445 600 ~786 1008 ~1267 1568 ~1912
(((x div (((x + 1) div ((2 + 2) + 1)) + 1)) + x) div 2)
A064474: 0 1 2 3 3 3 4 5 6 6 6 7 8 8 8 9
((((((2 + 1) * x) * ((2 + 2) + 1)) + 1) * x) div 2)
A022273: 0 8 31 69 122 190 273 371 484 612 755 913 1086 1274 1477 1695
((((((2 + 1) * x) * ((2 + 2) + 1)) - 1) * x) div 2)
A022272: 0 7 29 66 118 185 267 364 476 603 745 902 1074 1261 1463 1680
(((((((x + 2) + 2) + 2) * (2 + 1)) + 1) * x) div 2)
A140675: 0 11 25 42 62 85 111 140 172 207 245 286 330 377 427 480
(((((((x + 2) + 2) + 2) * (2 + 1)) - 1) * x) div 2)
A140674: 0 10 23 39 58 80 105 133 164 198 235 275 318 364 413 465
(((((((2 + 1) * x) + 2) * (2 + 1)) + 1) * x) div 2)
A062728: 0 8 25 51 86 130 183 245 316 396 485 583 690 806 931 1065
(((((((2 + 1) * x) + 2) * (2 + 1)) - 1) * x) div 2)
A062725: 0 7 23 48 82 125 177 238 308 387 475 572 678 793 917 1050
(((x - ((((1 - x) * 2) * (2 + 1)) - 1)) * x) * 2)
A152760: 0 4 36 96 184 300 444 616 816 1044 1300 1584 1896 2236 2604 3000
((((x * x) div (((x * 2) div (2 + 1)) + 1)) + x) div 2)
A052083-A039268: 0 1 2 3 4 5 6 8 9 10 12 13 14 15 16 17
(((((((x * 2) + 1) * x) * (2 + 1)) + 1) * x) div 2)
A115519: 0 5 31 96 218 415 705 1106 1636 2313 3155 4180 5406 6851 8533 10470
(((((((x * x) + 2) * x) div (2 + 1)) + 1) * x) div 2)
A257055: 0 1 5 18 50 115 231 420 708 1125 1705 2486 3510 4823 6475 8520
(((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * x) * 2)
A169919: 0 2 4 6 8 10 12 14 16 18 220 242 264 286 308 330
(((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + x) + 2)
A175970: 2 3 4 6 7 8 9 10 12 13 14 15 16 17 18 20
(x - ((((x div 2) div (((2 + 1) * 2) + 1)) - x) div 2))
A248758: 0 2 3 5 6 8 9 11 12 14 15 17 18 20 21 22
((((((((x * 2) * 2) * 2) * 2) * 2) + 1) * x) * 2)
A158070: 0 66 260 582 1032 1610 2316 3150 4112 5202 6420 7766 9240 10842 12572 14430
(((2 - (x - ((((2 + 2) * 2) * 2) + 1))) * x) * 2)
A182428: 0 36 68 96 120 140 156 168 176 180 180 176 168 156 140 120
(compr(\x.((x mod (((x div 2) mod (2 + 2)) + 2)) - 1),x) + 2)
A028749: 2 3 5 6 7 8 10 11 12 14 15 17 18 19 20 21
(((((x + 2) * x) div (((2 + 2) * 2) + 1)) + x) + 2)
A184109: 2 3 4 6 8 10 13 16 18 22 25 28 32 36 40 45
(x - (((x - ((((x * 2) * 2) * 2) + 1)) * x) * 2))
A195025: 0 17 62 135 236 365 522 707 920 1161 1430 1727 2052 2405 2786 3195
(((((x div 2) div (2 + 1)) * ((2 + 2) + 1)) + x) * 2)
A212495: 0 2 4 6 8 10 22 24 26 28 30 32 44 46 48 50
((((x - (2 mod (x + 1))) div ((2 + 2) + 1)) + x) + 2)
A106092-A095949: 2 3 4 5 6 7 8 10 11 12 13 14 16 17 18 19
(((x - ((1 - (x * 2)) * ((2 + 2) + 1))) * x) div 2)
A226492: 0 3 17 42 78 125 183 252 332 423 525 638 762 897 1043 1200
((x * 2) - ((((x div 2) div ((2 + 2) + 1)) - x) div 2))
A198083: 0 3 5 8 10 13 15 18 20 23 25 27 30 32 35 37
((((x - (x div ((0 - 2) - 1))) div (2 + 1)) + x) + 2)
A167389: 2 3 5 6 8 9 10 12 13 15 16 18 19 21 22 23
((x mod ((((x mod (2 + 2)) - 1) * (2 + 1)) - x)) mod 2)
A341999-A341996-A327928: 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1
((((((x div 2) + 1) * (2 + 1)) * (2 + 1)) + x) + 2)
A118512: 11 12 22 23 33 34 44 45 55 56 66 67 77 78 88 89
((x + 2) mod (((((x div 2) - 1) mod (2 + 1)) + x) div 2))
A165033: 0 0 0 0 0 1 0 1 2 3 2 1 0 1 2 3
((((2 + 1) mod (x - ((x + 1) mod (2 + 1)))) + x) + 2)
A259444: 2 3 5 6 7 10 11 12 13 14 15 16 17 18 19 20
(((x - (1 - (((x + 1) * 2) * (2 + 1)))) * x) * 2)
A195027: 0 24 76 156 264 400 564 756 976 1224 1500 1804 2136 2496 2884 3300
(((x - (1 - (((x + 1) * 2) * (2 + 1)))) * x) div 2)
A179986: 0 6 19 39 66 100 141 189 244 306 375 451 534 624 721 825
(((((((x + 2) + 1) * 2) * 2) * (2 + 1)) + x) * 2)
A099943: 72 98 124 150 176 202 228 254 280 306 332 358 384 410 436 462
((((((x div 2) mod (2 + 2)) + 2) mod (2 + 1)) + x) div 2)
A034586: 1 1 1 1 2 3 4 4 5 5 5 5 6 7 8 8
(((x - ((1 - ((2 + 2) * 2)) * (2 + 1))) * x) div 2)
A101859: 0 11 23 36 50 65 81 98 116 135 155 176 198 221 245 270
(((x - (1 - (((2 + 2) * 2) * (2 + 1)))) * x) div 2)
A132754: 0 12 25 39 54 70 87 105 124 144 165 187 210 234 259 285
((((((x div 2) + 1) mod (2 + 2)) mod (2 + 1)) + x) div 2)
A236916: 0 1 2 2 2 2 3 3 4 5 6 6 6 6 7 7
((x * 2) - (((x div ((2 + 2) * (2 + 1))) - x) div 2))
A195168: 0 3 5 8 10 13 15 18 20 23 25 28 30 32 35 37
(((1 - (x - (((x + 2) * 2) * (2 + 1)))) * x) div 2)
A302906: 0 9 23 42 66 95 129 168 212 261 315 374 438 507 581 660
(((x - ((1 - ((x * 2) * 2)) * (2 + 1))) * x) div 2)
A186030: 0 5 23 54 98 155 225 308 404 513 635 770 918 1079 1253 1440
(((x - (1 - (((x * 2) * 2) * (2 + 1)))) * x) div 2)
A022270: 0 6 25 57 102 160 231 315 412 522 645 781 930 1092 1267 1455
(((1 - (x - (((x * 2) * 2) * (2 + 1)))) * x) div 2)
A022269: 0 6 23 51 90 140 201 273 356 450 555 671 798 936 1085 1245
((x * 2) - (((((x div 2) - 2) div (2 + 1)) - x) div 2))
A064437: 1 3 6 8 10 13 15 18 20 23 25 27 30 32 35 37
((((((x + 2) + 2) * (x + 2)) * (2 + 1)) + x) div 2)
A341740: 12 23 37 54 74 97 123 152 184 219 257 298 342 389 439 492
((((((x * x) div (2 + 1)) * x) div (2 + 1)) + x) + 2)
A004045: 2 3 4 8 12 20 32
(((((((x div 2) * x) mod 2) + x) div (2 + 1)) + x) + 2)
A099619: 2 3 4 6 7 8 10 11 12 14 15 17 18 19 20 22
(((2 + 2) mod ((2 + 1) - ((x div (2 + 1)) + x))) mod 2)
A029424: 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1
(x - (((1 - x) * x) div (((x div (2 + 1)) + x) + 2)))
A133280: 0 1 3 4 6 8 9 11 13 15 16 18 20 22 24 25
(2 - ((((1 - x) - ((x * x) * (2 + 1))) * x) div 2))
A332234: 2 4 15 46
(((((2 - ((x div 2) - 1)) * (x + 2)) + 1) * x) div 2)
A076856: 0 5 9 16 14
((((x div ((2 + 2) * 2)) * ((x + 2) + 1)) + x) * 2)
A140955: 0 2 4 6 8 10 12 14 38
(((((((2 + 2) * (2 + 1)) + 1) * x) + 1) * x) div 2)
A022271: 0 7 27 60 106 165 237 322 420 531 655 792 942 1105 1281 1470
(((((((2 + 2) * (2 + 1)) - 1) * x) - 1) * x) div 2)
A022268: 0 5 21 48 86 135 195 266 348 441 545 660 786 923 1071 1230
((((((((2 + 2) * 2) * 2) + 1) * x) + 1) * x) div 2)
A022275: 0 9 35 78 138 215 309 420 548 693 855 1034 1230 1443 1673 1920
((((((((2 + 2) * 2) * 2) + 1) * x) - 1) * x) div 2)
A022274: 0 8 33 75 134 210 303 413 540 684 845 1023 1218 1430 1659 1905
(((((((2 + 2) * 2) * (2 + 1)) + x) + 1) * x) div 2)
A132755: 0 13 27 42 58 75 93 112 132 153 175 198 222 247 273 300
((((((((2 + 2) * 2) * 2) * 2) + x) + 1) * x) div 2)
A212427: 0 17 35 54 74 95 117 140 164 189 215 242 270 299 329 360
((((((((2 + 2) * 2) * 2) * 2) + x) - 1) * x) div 2)
A132758: 0 16 33 51 70 90 111 133 156 180 205 231 258 286 315 345
((((x * x) div ((x + 2) + 2)) + ((x + 1) * x)) div 2)
A181947: 0 1 3 6 11 16
A333709: 0 1 3 6 11 16 22 30 38 48 58 70 82 95 110 125
(((((x div 2) + 1) * (x div 2)) + ((x + 1) * x)) * 2)
A273368: 0 4 16 28 52 72 108 136 184 220 280 324 396 448 532 592
((((((x * x) * (x * x)) * (x * x)) + 1) * x) div 2)
A168029: 0 1 65 1095 8194 39065 139971 411775 1048580 2391489 5000005 9743591 17915910 31374265 52706759 85429695
((((x - ((x div 2) div ((0 - 2) - 1))) div 2) + x) + 2)
A184588: 2 3 5 7 8 10 11 13 15 16 18 19 21 22 24 26
((((x - (x div (((2 + 1) * 2) + 1))) div 2) + x) + 2)
A226721: 2 3 5 6 8 9 11 12 13 15 16 18 19 21 22 23
((((x - (x div (((2 + 2) * 2) + 1))) div 2) + x) + 2)
A332101: 2 3 5 6 8 9 11 12 14 15 16 18 19 21 22 24
((((x div (((x div (2 + 2)) * 2) - 1)) mod 2) + x) div 2)
A194253-A194163: 0 1 1 2 2 3 3 4 4 5 5 6 6 6 7 8
((x * 2) div (((x mod (((2 + 2) + 1) * 2)) * x) + 2))
A108695: 0 0 0 0 0 0 0 0 0 0 10 1 0 0 0 0
((((x mod (x - ((x mod (2 + 2)) - 1))) mod 2) + x) + 2)
A179464: 2 3 4 5 6 7 9 9 10 11 13 13 14 15 17 17
(x - (((x - ((((x * 2) * 2) - 1) * 2)) * x) * 2))
A185019: 0 11 50 117 212 335 486 665 872 1107 1370 1661 1980 2327 2702 3105
((((((x div (2 + 1)) + x) div (2 + 1)) * 2) + x) + 2)
A188190: 2 3 4 7 8 11 12 15 16 19 20 21 24 25 28 29
(1 - (x div (((x mod ((x mod (2 + 1)) + 2)) - x) - 2)))
A036450: 1 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2
((x * 2) - ((((x mod ((x div 2) + 1)) div 2) - x) div 2))
A195170: 0 3 5 8 10 12 15 17 20 22 24 27 29 31 34 36
(((((((x div 2) mod 2) - 2) mod (x + 1)) div 2) + x) + 2)
A143664: 2 3 5 6 7 9 11 12 13 15 17 18 19 21 23 24
((((((x + 2) + 2) * ((x * x) + 1)) - 2) * x) div 2)
A201243: 0 4 28 102 268 580 1104 1918 3112 4788 7060 10054 13908 18772 24808 32190
((((((2 - (x div 2)) mod (x + 1)) div 2) div 2) + x) + 2)
A072497: 2 3 4 5 6 7 9 10 11 13 14 15 16 17 18 19
((((((x * x) - ((x - 1) div 2)) div 2) div 2) + x) div 2)
A065130: 0 0 1 2 3 5 7 9 11 14 17 20 23 26 30 34
(compr(\x.(((x * x) div (1 - ((2 + 2) * 2))) mod 2),x) + 2)
A283778: 2 5 7 8 10 11 13 16 19 21 22 24 25 27 30 33
(((x * x) + 1) div (((((2 + 2) * 2) * 2) + x) + 2))
A302930: 0 0 0 0 0 1 1 2 2 3 3 4 4 5 6 6
(((((x + 2) * x) div (((2 + 2) * 2) * 2)) + x) + 2)
A184112: 2 3 4 5 7 9 11 12 15 17 19 21 24 27 30 32
(x - (((2 div (x - (((2 + 2) * 2) * 2))) - x) div 2))
A003253: 1 2 4 5 7 8 10 11 13 14 16 17 19 20 22 24
(((((1 - x) * x) div (((2 + 2) * 2) * 2)) + x) div 2)
A163529: 0 0 0 1 1 1 2 2 2 2 2 2 1 1 1 0
((((x * 2) div (((x div (2 + 2)) + 2) + 2)) + x) + 2)
A183864-A181133: 2 3 5 6 7 9 10 11 12 14 15 16 17 18 20 21
(((((x div 2) - ((x div (2 + 2)) mod 2)) div 2) + x) + 2)
A125299: 2 3 4 5 6 7 9 10 12 13 14 15 16 17 19 20
(((2 - ((x div 2) mod (1 - ((2 + 2) * 2)))) * x) div 2)
A106669: 0 1 8 12 14 17
((1 - (((x * x) div (1 - ((2 + 2) * 2))) + x)) div 2)
A143286: 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 9
(1 - ((((x * x) div (1 - ((2 + 2) * 2))) + x) div 2))
A173925: 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 10
(1 - ((((x * x) div (1 - ((2 + 2) * 2))) - x) div 2))
A022788: 1 2 3 4 5 6 7 8 10 12 14 16 18 20 22 25
((x - (1 mod (((x - 2) mod ((2 + 2) * 2)) - x))) + 2)
A138100: 1 2 5 6 7 8 9 10 11 12 21 22 23 24 25 26
(x - ((((x * x) + 1) div (((2 + 2) * 2) + x)) div 2))
A039708: 0 1 2 3 4 4 5 6 6 7 8 8 9 9 10 11
(x mod ((((x * x) - 2) div (((2 + 2) * 2) + x)) + 2))
A337636: 0 0 0 1 1 2 2 2 3 3 3 3 3 4 4 4
(((((x + 2) + 1) * x) div (((2 + 2) * 2) + x)) mod 2)
A286807: 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1
((x - (1 mod (((2 - (x div (2 + 2))) * 2) - x))) + 2)
A065520: 1 2 3 5 7 9 11 13 17 19 21 23 27 29 31 33
((((((1 - (x div 2)) mod (x + 2)) div 2) div 2) + x) + 2)
A286291: 2 3 4 5 7 8 9 10 11 13 14 15 16 17 18 19
(compr(\x.((((1 - x) * x) mod ((x div 2) + 2)) mod 2),x) + 2)
A109423-A028737: 2 3 5 6 7 8 10 11 13 14 15 17 18 19 20 21
(compr(\x.(2 - (((x * x) + 2) mod ((x + 2) + 2))),x) + 2)
A214329: 2 3 5 6 8 9 10 11 12 13 14 17 18 19 20 21
((((((x + 2) * x) + 2) * ((x mod 2) + 2)) + x) div 2)
A093918: 2 8 11 27 28 58 53 101 86 156 127 223 176 302 233 393
((((((x + 2) * x) + 2) * ((x mod 2) + 2)) - x) div 2)
A093916: 2 7 9 24 24 53 47 94 78 147 117 212 164 289 219 378
(((x + 1) * x) div (((x div ((x mod 2) + 2)) * x) + 2))
A332581: 0 1 1 2 2 4 2 3 2 3 2 3 2 3 2 3
((((((x * 2) div ((2 + 2) + 1)) + x) div 2) + x) + 2)
A285077-A186344-A186317: 2 3 5 7 8 10 12 13 15 17 19 20 22 24 25 27
((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + x) + 2)
A099267: 2 3 5 6 8 10 11 13 14 16 18 19 21 23 24 26
((((((x - (x div (2 + 2))) div 2) + x) div 2) + x) + 2)
A186221: 2 3 5 7 8 10 12 14 15 17 19 20 22 24 25 27
((((x div 2) div ((2 + 2) + 1)) + ((x + 2) * x)) + 2)
A322008: 2 5 10 17 26 37 50 65 82 101 123 146 171 198 227 258
(((((x + 2) * x) - 1) div 2) * (((x + 2) * x) div 2))
A218832: 0 1 12 49 132 289 552 961 1560 2401 3540 5041 6972 9409 12432 16129
(1 - (((2 div (((2 + 2) * 2) - (x div 2))) - x) div 2))
A264810: 1 2 2 3 3 4 4 5 5 6 6 7 7 7 7 8
((((x div (2 + 2)) mod 2) + 1) * (((x div 2) * x) mod 2))
A343221: 0 0 0 1 0 0 0 2 0 0 0 1 0 0 0 2
(((x - 1) div (((2 + 1) * 2) - ((x mod 2) * x))) mod 2)
A029443: 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0
((2 - (x mod (2 - (x mod ((0 - 2) - 1))))) div (x + 2))
A240332-A015920-A015626-A014744: 1 0 0 0 0 0 0 ~1 0 0 0 0 0 0 0 0
(((((x div (2 + 2)) * 2) - x) div (2 + 1)) mod (x + 2))
A238839: 0 2 3 4 5 6 6 7 8 9 10 10 12 12 13 14
((((x * 2) * (2 + 1)) - (x div (2 + 1))) div (x + 2))
A081288: 0 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5
(x - (((((x div 2) + x) * (x div 2)) + 1) div (x + 2)))
A137791: 0 1 1 2 2 3 3 4 4 5 4 5 5 6 5 6
((((x mod ((2 + 2) * (2 + 1))) + 1) * 2) mod (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A043271: 0 1 2 3 4 5 6 7 8 9 10 11 2 4 6 8
((2 - ((x mod (((2 + 1) * 2) + 1)) div 2)) div (x + 2))
A284504: 1 0 0 0 0 0 ~1 0 0 0 0 0 0 ~1 0 0
((((x + 1) mod (((2 + 2) + 1) * 2)) * 2) mod (x + 2))
A190727: 0 1 2 3 4 5 6 7 8 0 2 4 6 8 10 12
((2 - (x mod ((((x div 2) mod 2) + 2) + 2))) div (x + 2))
A224877: 1 0 0 ~1 0 0 0 0 0 0 0 0 0 0 ~1 0
(((x div 2) - ((x + 1) mod ((2 + 2) * 2))) mod (x + 2))
A045430: 1 1 2 2 3 3 4 3 3 2 2 1 1
((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2))
A082462-A055086: 0 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6
(x - (((((x * x) div (2 + 1)) - x) * 2) div (x + 2)))
A202305: 0 2 3 3 4 5 5 5 6 6 7 7 7 8 8 8
((((((x div (2 + 1)) + x) * 2) + x) * 2) div (x + 2))
A211675: 0 2 3 4 4 4 5 5 5 6 6 6 6 6 6 6
(1 - ((((x mod (2 + 2)) + 2) - (x div 2)) div (x + 2)))
A122922: 0 0 1 1 1 1 1 1 2 2 2 1 2 2 2 2
(x - ((x - (((x div 2) - 2) * (x div 2))) div (x + 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A191878-A028964: 0 1 2 3 4 5 6 7 8 9 11 12 13 14 16 17
(((((((x + 1) div 2) div 2) + 2) + 1) * x) div (x + 2))
A176844: 0 1 1 2 2 2 3 3 4 4 4 5 5 5 5 6
(1 - (((((2 - x) div (2 + 2)) - 2) * x) div (x + 2)))
A228720-A225559-A085089-A069924: 1 2 2 3 3 4 4 5 5 5 5 6 6 6 6 7
(((2 + 2) mod ((x div ((2 + 2) + 1)) + 1)) + (x * 2))
A118070: 0 2 4 6 8 10 12 14 16 18 21 23 25 27 29 30
(((1 - (x * 2)) div (((2 + 1) * 2) + 1)) + (x * 2))
A083034: 0 1 3 5 7 8 10 12 13 15 17 19 20 22 24 25
((((x div (2 + 2)) + 1) * ((2 + 2) + 1)) + (x * 2))
A283771: 5 7 9 11 18 20 22 24 31 33 35 37 44 46 48 50
(((((x + 2) * x) + 2) div ((x mod 2) + 1)) + (x * 2))
A087420: 2 4 14 14 34 28 62 46 98 68 142 94 194 124 254 158
(((((x + 1) * x) div 2) + 1) + (2 mod (1 - (x * 2))))
A016028: 1 2 3 4 6 9 13 18 24 31 39 48 58 69 81 94
(((x - (x div (((2 + 2) * 2) + 1))) div 2) + (x * 2))
A022849: 0 2 5 7 10 12 15 17 20 22 24 27 29 32 34 37
(((((x div 2) + 1) mod ((2 + 2) + 1)) mod 2) + (x * 2))
A158705: 1 3 4 6 9 11 12 14 16 18 21 23 24 26 29 31
(((x - (x div ((2 + 2) * (2 + 1)))) mod 2) + (x * 2))
A227148: 0 3 4 7 8 11 12 15 16 19 20 23 25 26 29 30
(((2 - x) div (2 - (x div ((0 - 2) - 2)))) + (x * 2))
A049039: 1 2 4 5 7 9 11 12 14 16 18 20 22 24 26 27
((((x div 2) - (x div ((2 + 2) * 2))) mod 2) + (x * 2))
A158704: 0 2 5 7 8 10 13 15 17 19 20 22 25 27 28 30
(((x * x) div ((2 - x) - ((2 + 2) * 2))) + (x * 2))
A188916: 0 1 3 5 6 7 9 10 11 12 13 14 16 17 18 19
(((x - ((2 mod (2 - (x * x))) div 2)) div 2) + (x * 2))
A267531: 0 2 5 9 13 18 23 29 35 42 49 57 65 74 83 93
(((((x mod ((x div 2) + 1)) div 2) + x) div 2) + (x * 2))
A090909: 0 2 5 7 10 13 15 18 20 23 26 28 31 34 36 39
((((x * 2) div ((x div 2) + 1)) * (x div 2)) + (x * 2))
A191873: 0 2 6 9 12 16 21
(((((x div 2) * x) mod 2) + x) + ((x mod 2) + (x * 2)))
A180713: 0 4 6 11 12 16 18 23 24 28 30 35 36 40 42 47
(((x - (((1 - x) * (2 + 2)) - 1)) * x) * (x * 2))
A006592: 0 4 56 216 544 1100 1944 3136 4736 6804 9400 12584 16416 20956 26264 32400
(x - (((((1 - x) * 2) * (2 + 1)) - x) * (x * 2)))
A195021: 0 3 34 93 180 295 438 609 808 1035 1290 1573 1884 2223 2590 2985
((((x * 2) div (1 - ((2 + 2) * 2))) + x) + (x * 2))
A022843: 0 2 5 8 10 13 16 19 21 24 27 29 32 35 38 40
(((((x div (2 + 2)) + x) * 2) * (2 + 1)) - (x div 2))
A184550: 0 6 11 17 28 34 39 45 56 62 67 73 84 90 95 101
(((((x + 2) * 2) + (x mod 2)) * (2 + 1)) - (x div 2))
A248378: 12 21 23 32 34 43 45 54 56 65 67 76 78 87 89 98
((((((x mod 2) * 2) * 2) + x) * (2 + 1)) + (x div 2))
A168211: 0 15 7 22 14 29 21 36 28 43 35 50 42 57 49 64
(((x mod (((x * x) + 2) div (x + 2))) + 1) + (x div 2))
A317442: 1 1 2 3 4 5 6 6 7 7 8 8 9 9 10 10
(x - (((x div 2) - (((2 + 1) * x) + 1)) * (x div 2)))
A210982: 0 1 8 12 26 33 54 64 92 105 140 156 198 217 266 288
(((((x mod 2) * (x + 2)) + 1) * (x + 1)) - (x div 2))
A308217: 1 8 2 23 3 46 4 77 5 116 6 163 7 218 8 281
((((((x * x) div 2) + 2) * x) div (x + 1)) + (x div 2))
A340528: 0 1 3 5 10 13 20 25 34 41 52 61 74 85 100 113
((((x * x) div (((2 + 1) * 2) + 1)) mod 2) + (x div 2))
A194175: 0 0 1 2 2 3 4 4 5 5 5 6 6 6 7 7
((((x - 2) mod (((x + 1) div 2) + 1)) mod 2) + (x div 2))
A180101: 0 1 1 2 2 3 3 3 5 5 5 5 7 7 7 7
((((1 - (x div 2)) div ((2 + 2) + 1)) * 2) + (x div 2))
A340321-A332250: 0 0 1 1 0 0 1 1 2 2 3 3 4 4 3 3
(((2 - x) div ((x div ((2 + 2) + 1)) + 2)) + (x div 2))
A035386: 1 0 1 0 1 1 1 1 2 1 3 2 3 3 4 4
(x - (((x div (2 + 2)) - ((x - 1) div 2)) * (x div 2)))
A340448: 0 1 2 4 4 7 9 13 12 17 20 26 24 31 35 43
(x - ((x * x) div ((((x + 2) + 2) * 2) - (x div 2))))
A336112: 0 1 2 3 3 4 4 5 5 6 6 7 7 7 8 8
(((((x + 1) div 2) + 1) * (x div (2 + 2))) - (x div 2))
A131804: 0 0 ~1 ~1 1 2 1 2 6 8 7 9 15 18 17 20
((x * x) - ((((x div 2) + (x * 2)) + 2) * (x div 2)))
A317300: 0 1 ~3 0 ~8 ~3 ~15 ~8 ~24 ~15 ~35 ~24 ~48 ~35 ~63 ~48
(x - (((x * x) - 2) div (((2 - x) * 2) - (x div 2))))
A285667: 1 2 4 6 7 8 10 11 12 14 15 17 18 19 21 22
(((((x * x) + 1) div ((x div 2) + 2)) + x) + (x div 2))
A226596: 0 2 4 7 10 13 16 20 22
(((1 mod (((2 + 2) * 2) - (x div 2))) + x) + (x div 2))
A284602: 1 2 4 5 7 8 10 11 13 14 16 17 19 20 21 22
((((x div 2) mod ((x mod (2 + 2)) + 1)) + 1) * (x mod 2))
A053389: 0 1 0 2 0 1 0 4 0 1 0 2 0 1 0 4
((((x div (((x div 2) mod 2) + 2)) mod 2) + 1) * (x mod 2))
A191254: 0 1 0 2 0 1 0 1 0 1 0 2 0 1 0 2
(((((2 + 1) * x) + 1) * ((2 + 2) + 1)) - (x mod 2))
A255413: 5 19 35 49 65 79 95 109 125 139 155 169 185 199 215 229
(((((x * x) div 2) * (2 + 1)) * (2 + 1)) + (x mod 2))
A195147: 0 1 18 37 72 109 162 217 288 361 450 541 648 757 882 1009
(((x div ((((x mod 2) + 2) * 2) + 1)) * 2) + (x mod 2))
A156723: 0 1 0 1 0 1 2 3 2 3 4 3 4 3 4 5
((((1 - x) div ((x mod (2 + 2)) + 1)) mod 2) - (x mod 2))
A260971: 1 ~1 1 0 1 ~1 0 ~1 1 ~1 1 0 1 ~1 1 ~1
(((((x div 2) + 1) + (x mod (2 + 1))) div 2) * (x mod 2))
A137899: 0 1 0 1 0 2 0 2 0 2 0 4 0 4 0 4
(((((x div ((2 + 2) + 1)) mod 2) * 2) * 2) + (x mod 2))
A093348: 0 1 0 1 0 5 4 5 4 5 0 1 0 1 0 5
((((((x div (2 + 1)) mod 2) * 2) * 2) * 2) + (x mod 2))
A021095: 0 1 0 9 8 9 0 1 0 9 8 9 0 1 0 9
(((2 - ((x mod ((x mod 2) + 2)) div 2)) * 2) - (x mod 2))
A231475: 4 3 4 3 4 1 4 3 4 3 4 1 4 3 4 3
(2 div (((x + 1) * 2) mod (((2 + 2) * 2) + (x mod 2))))
A280542-A275001: 1 0 0 0 1 0 0 0 1 1 0 0 1 2 0 0
((1 - ((x div (((1 - x) div 2) - 2)) * 2)) - (x mod 2))
A078759: 1 2 3 2 3 4 5 4 5 4 5 4 5 4 5 4
((((x + 2) div (2 + 1)) - (x div (2 + 2))) - (x mod 2))
A238097-A066955: 0 0 1 0 1 0 1 1 1 0 2 1 1 1 2 1
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * (x mod 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A341935: 0 1 2 3 4 5 6 7 8 9 10 21 12 23 14 25
((compr(\x.(x mod ((x div ((2 + 2) * 2)) + 1)),x) + x) div 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A154771: 0 1 2 3 4 5 6 7 8 9 11 12 15 17 19 21
((compr(\x.(x mod ((x div ((2 + 2) * 2)) + 1)),x) - x) div 2)
A154781: 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 6
((((x - (((1 - x) * (2 + 2)) - 1)) * x) * x) div 2)
A006597: 0 1 14 54 136 275 486 784 1184 1701 2350 3146 4104 5239 6566 8100
(((((((2 + 2) * 2) + 1) * (2 + 1)) + x) * x) div 2)
A132756: 0 14 29 45 62 80 99 119 140 162 185 209 234 260 287 315
(((((((x * 2) * 2) + 1) * (2 + 1)) - x) * x) div 2)
A254963: 0 7 25 54 94 145 207 280 364 459 565 682 810 949 1099 1260
((((((x * x) * x) * ((x * 2) - 1)) + x) * x) div 2)
A100242: 0 1 26 207 904 2825 7146 15631 30752 55809 95050 153791 238536 357097 518714 734175
(((((x - ((x * x) * (1 - x))) + 1) * x) * x) div 2)
A101376: 0 1 14 99 424 1325 3366 7399 14624 26649 45550 73931 114984 172549 251174 356175
(((((((x * x) * x) * (x * x)) + 1) * x) * x) div 2)
A168123: 0 1 66 1098 8200 39075 139986 411796 1048608 2391525 5000050 9743646 17915976 31374343 52706850 85429800
((((((((x + 2) * x) + 2) * 2) * 2) + x) * x) + 2)
A131464: 2 23 86 215 434 767 1238 1871 2690 3719 4982 6503 8306 10415 12854 15647
((((((x div 2) + x) + 1) * ((x div 2) + x)) + x) div 2)
A210981: 0 1 7 11 23 30 48 58 82 95 125 141 177 196 238 260
((((x mod 2) + (x * 2)) * (x + 1)) + ((x * x) div 2))
A273365: 0 6 14 32 48 78 102 144 176 230 270 336 384 462 518 608
((((((x * x) * (x * x)) + 1) * x) * (x * x)) div 2)
A168179: 0 1 68 1107 8224 39125 140076 411943 1048832 2391849 5000500 9744251 17916768 31375357 52708124 85431375
((x div (((1 - (x div 2)) div (2 + 1)) - 2)) * (0 - x))
A166447: 0 1 2 6 8 10 12 21 24 27 30 33 36 52 56 60
compr(\x.((x mod (((x - 1) mod ((2 + 2) * 2)) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A334967-A333223: 0 1 2 3 4 5 6 7 8 9 10 12 15 16 17 18
(x - (1 mod (((x mod (((2 + 2) * 2) + 1)) + 1) - x)))
A004837: 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22
((x - ((((1 - x) * 2) * ((2 + 2) + 1)) - 1)) * x)
A152997: 0 2 26 72 140 230 342 476 632 810 1010 1232 1476 1742 2030 2340
compr(\x.((((x - 1) * x) mod ((x div (2 + 2)) + 1)) - 1),x)
A084689: 0 1 2 3 4 5 6 7 9
A254636: 0 1 2 3 4 5 6 7 9 10 12 13 16 18 21 22
(((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1) * x)
A100050: 0 1 2 0 ~4 ~5 0 7 8 0 ~10 ~11 0 13 14 0
((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A032516: 0 1 2 3 4 5 6 7 8 9 10 11 13 15 17 19
((((x - ((1 - x) * (2 + 2))) * (2 + 1)) - 1) * x)
A263226: 0 2 34 96 188 310 462 644 856 1098 1370 1672 2004 2366 2758 3180
((2 div ((2 + 2) - (((x - 2) div (2 + 1)) - 1))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A239348-A154314: 0 1 2 3 4 5 6 7 8 9 10 12 13 14 16 17
compr(\x.(((x mod (2 + 2)) - ((x div 2) div (2 + 1))) + 1),x)
A331801: 8 12 13 16 17 18 20 21 22 24 25 26 27 28 29 30
((compr(\x.((x div (2 + 2)) mod 2),(x div (2 + 1))) + 1) + x)
A023705: 1 2 3 5 6 7 9 10 11 13 14 15 21 22 23 25
(((((((x + 2) * 2) + x) * x) * (2 + 1)) - 1) * x)
A299965: 0 20 118 348 764 1420 2370 3668 5368 7524 10190 13420 17268 21788 27034 33060
(((((((2 + 1) * 2) + 1) * 2) * (x + 1)) - 1) * x)
A195028: 0 27 82 165 276 415 582 777 1000 1251 1530 1837 2172 2535 2926 3345
(((((x * x) + (2 + 2)) * ((x * x) + 1)) + 1) * x)
A261391: 0 11 82 393 1364 3775 8886 18557 35368 62739 105050 167761 257532 382343 551614 776325
compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A076641: 0 1 2 3 4 5 6 7 8 9 11 21 31 41 51 61
compr(\x.(x mod (((((x * x) div 2) mod (2 + 1)) * 2) + 1)),x)
A254614: 0 1 3 5 6 7 9 10 11 12 13 15 17 18 19 20
compr(\x.(((x mod (2 + 1)) * x) mod (((2 + 1) * 2) + 1)),x)
A176409: 0 3 6 7 9 12 14 15 18 21 24 27 28 30 33 35
compr(\x.((x div (2 + 2)) - (x mod (((2 + 1) * 2) + 1))),x)
A329297: 0 1 2 3 4 5 6 9 10 11 12 13 18 19 20 27
compr(\x.(1 - (x mod (((x * x) mod ((2 + 1) * 2)) + 1))),x)
A097904: 1 2 3 4 5 7 8 9 11 13 14 15 16 17 19 21
((2 div ((2 + 2) - ((((x + 1) div 2) div 2) - 1))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A125705: 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 17
((x - ((((1 - ((2 + 2) * 2)) * 2) * 2) - 1)) * x)
A132771: 0 30 62 96 132 170 210 252 296 342 390 440 492 546 602 660
((x div (2 - (x - ((((2 + 2) * 2) * 2) + 1)))) * x)
A308854: 0 0 0 0 0 0 0 0 0 0 10 11 12 26 28 45
compr(\x.((x - 2) mod (((x mod ((x mod 2) + 2)) * 2) + 1)),x)
A153276: 0 2 3 4 6 8 9 10 12 14 15 16 17 18 20 21
compr(\x.((x mod 2) - ((((x div 2) - 1) mod (2 + 2)) - 1)),x)
A047509: 0 1 4 6 7 8 9 12 14 15 16 17 20 22 23 24
(((x * x) mod (x - ((x - 1) div ((2 + 2) + 1)))) + x)
A067570: 0 1 2 3 4 5 7
A334273-A114994-A107686-A004743: 0 1 2 3 4 5 7 8 9 10 11 15 16 17 18 19
(((x - ((x * x) div (0 - 2))) div ((2 + 2) + 1)) + x)
A165453: 0 1 2 4 6 8 10 13 16 19 22 25 28 32 36 40
((((2 mod ((x div 2) + 1)) + 2) * ((2 + 2) + 1)) + x)
A244156: 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35
((((((x + 2) * 2) * 2) * 2) div ((2 + 2) + 1)) + x)
A184659: 3 5 8 11 13 16 18 21 24 26 29 31 34 37 39 42
(((((x div 2) + 1) * (x div 2)) div ((2 + 2) + 1)) * x)
A308783: 0 0 0 0 4 5 12 14 32 36 60 66 96 104 154 165
compr(\x.(2 - (((x div (2 + 1)) + x) mod ((2 + 2) + 1))),x)
A188094: 2 3 6 7 9 10 11 13 14 17 18 21 22 24 25 26
compr(\x.(1 - (((x mod (2 + 1)) * x) mod ((2 + 2) + 1))),x)
A229829: 1 2 4 7 8 11 13 14 16 17 19 22 23 26 28 29
compr(\x.((x mod ((2 + 1) * 2)) * (x mod ((2 + 2) + 1))),x)
A093509: 0 5 6 10 12 15 18 20 24 25 30 35 36 40 42 45
compr(\x.((2 - (((x * x) div 2) mod ((x + 2) + 2))) + 1),x)
A233746: 3 5 6 8 10 12 13 14 15 16 17 18 19 20 21 22
(((((2 - x) * x) + 1) div (((x + 2) + 2) + 1)) + x)
A255121-A238965-A143824-A036042: 0 1 2 2 3 3 3 4 4 4 4 4 5 5 5 5
((((2 + 2) * (2 + 1)) * (((x * 2) * 2) + 1)) + x)
A304205: 12 61 110 159 208 257 306 355 404 453 502 551 600 649 698 747
compr(\x.(((x div (2 + 1)) + 1) mod (((x mod 2) * 2) + 1)),x)
A153282: 0 2 4 6 7 8 10 12 14 15 16 17 18 20 22 24
(((((((2 + 2) * 2) * 2) * 2) + 1) * (2 + 1)) + x)
A317592: 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114
(((2 mod ((x mod ((x mod 2) + 2)) + 1)) * (2 + 1)) + x)
A325692: 0 1 2 3 4 11 6 7 8 9 10 17 12 13 14 15
(((x * x) mod (((x + 1) * (2 + 1)) * (2 + 1))) + x)
A160942: 0 2 6 12 20 30 42 56 72 90 11 24 39 56 75 96
((x - ((((1 - x) * 2) * (2 + 1)) * (2 + 1))) * x)
A261191: 0 1 40 117 232 385 576 805 1072 1377 1720 2101 2520 2977 3472 4005
((((x * x) - ((x - 2) div (2 + 1))) div (2 + 1)) + x)
A235269: 0 1 3 6 9 13 17 23 28 35 42 50 59 68 78 88
compr(\x.(((((x mod 2) * x) - x) div (2 + 1)) mod (2 + 1)),x)
A153309: 0 1 3 5 7 8 9 11 13 15 16 17 18 19 21 23
((x + 1) - (2 mod ((((2 - x) + 1) div (2 + 1)) - x)))
A223577: 1 2 3 5 8 10 12 15 17 19 22 24 26 29 31 33
((((((2 + 2) * 2) * 2) * (x + 1)) * (2 + 1)) + x)
A044567: 48 97 146 195 244 293 342 391 440 489 538 587 636 685 734 783
compr(\x.((x mod 2) - ((((x div 2) - 1) div 2) mod (2 + 1))),x)
A039240: 0 1 2 4 6 7 8 9 10 11 12 13 14 16 18 19
(((((x div 2) + x) * ((x - 1) div 2)) div (2 + 1)) + x)
A327094: 0 1 2 4 6 9 12 17 20
compr(\x.(x - (((x mod ((2 + 1) * 2)) * 2) * (2 + 1))),x)
A023775: 0 1 2 3 4 5 8 9 10 11 15 16 17 22 23 29
(((((x - (x div (2 + 2))) div 2) * 2) div (2 + 1)) + x)
A039148: 0 1 2 3 4 6 7 9 10 11 12 13 14 16 17 19
(((((x * x) - (x mod (2 + 2))) * 2) div (2 + 1)) + x)
A222010: 0 1 3 7
A161210: 0 1 3 7 14 21 28
(1 - (x div ((1 - (x mod ((2 + 2) * (2 + 1)))) - x)))
A337301: 1 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2
(((((x + 2) * x) * ((x + 2) + 2)) div (2 + 1)) + x)
A180118: 0 6 18 38 68 110 166 238 328 438 570 726 908 1118 1358 1630
(((((2 - x) * x) div ((x div 2) + 2)) div (2 + 1)) + x)
A176843-A071542: 0 1 2 2 3 3 4 4 5 5 6 6 7 7 7 7
((((((x div 2) * (2 + 1)) + x) + 2) * (2 + 1)) + x)
A212161: 6 10 23 27 40 44 57 61 74 78 91 95 108 112 125 129
compr(\x.(1 - (((x div (2 + 1)) + (x div 2)) mod (2 + 1))),x)
A145266: 2 3 6 7 9 10 11 12 13 14 16 17 20 21 24 25
((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) * x)
A326627: 0 0 0 0 0 0 0 0 0 0 10 11 24 26 56 75
((((((x mod 2) + x) div (2 + 1)) + x) div (2 + 1)) + x)
A062005: 0 1 2 4 5 7 8 10 11 13 14 16 17 18 20 21
(((x * x) div (((x + 2) * 2) + (x mod (2 + 1)))) + x)
A087067: 0 1 2 3 5 6 8 9 10 12 14 15 17 18 19 21
((((((x + 2) + 2) + 2) * 2) * ((x + 2) + 1)) + x)
A187989: 36 57 82 111 144 181 222 267 316 369 426 487 552 621 694 771
compr(\x.(((((x div 2) + 1) mod (2 + 2)) - (x mod 2)) - 1),x)
A047559: 0 1 3 6 7 8 9 11 14 15 16 17 19 22 23 24
compr(\x.(((((2 - x) div 2) mod (2 + 2)) - (x mod 2)) - 1),x)
A192225: 0 1 2 5
A047483: 0 1 2 5 7 8 9 10 13 15 16 17 18 21 23 24
((1 - (x mod ((((2 - x) * x) - (x mod 2)) + 1))) + x)
A118841: 1 2 3 4 8 16
(((((x * x) * x) div 2) div (((2 + 1) * x) + 1)) + x)
A032514: 0 1 2 4 6 8 11 14 18 22 26 30 35 40 45 51
((1 - ((x * x) div (((x div (2 + 1)) - x) - 1))) - x)
A105590: 1 1 1 1 1 1 3 3 3 4 4 4 5 5 5 7
((2 div ((x div ((((2 + 2) * 2) * 2) - x)) + 1)) + x)
A100637: 2 3 4 5 6 7 8 9 9 10 11 11 12 13 14 15
((((x + 2) mod ((2 + 2) * (2 + 1))) mod (x + 1)) * x)
A103303: 0 1 2 3 4 5 6 7 8 9
A321243-A067079: 0 1 2 3 4 5 6 7 8 9 0 11 24 39 56 75
((((((x * x) div 2) mod (2 + 2)) + 2) mod (x + 1)) + x)
A124194: 0 1 3 5 6 7 10 9
(((((((x * x) + 1) * x) div 2) + 2) * (x + 1)) + x)
A129669: 2 7 23 71
(((x - (x mod (((2 + 2) * (2 + 1)) - 1))) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004839: 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20
compr(\x.(((x div 2) div ((x mod ((2 + 1) * 2)) + 1)) - 2),x)
A067570: 0 1 2 3 4 5 7
A023748: 0 1 2 3 4 5 7 8 9 10 11 14 15 16 17 21
compr(\x.((x - (x div (((x + 2) mod (2 + 2)) + 1))) mod 2),x)
A029598-A028968-A028962: 0 2 3 5 6 7 8 10 11 12 13 14 15 18 19 20
(((((x div 2) * (2 + 1)) div ((2 + 2) + 1)) * 2) + x)
A161824: 0 1 2 3 6 7 8 9 12 13 16 17 18 19 22 23
((1 mod (1 - (((x * 2) div ((2 + 2) + 1)) * 2))) + x)
A325933: 0 1 2 3 4 3 4 5 4 5 4 5 6 5 6 5
compr(\x.((x mod (2 - ((1 - x) div ((2 + 2) + 1)))) - 2),x)
A010432: 0 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20
(((x * 2) div ((x div ((0 - 2) * (2 + 1))) - 2)) + x)
A096336: 0 0 0 1 1 1 2 3 4 4 5 5 6 7 8 9
compr(\x.(1 - ((x * x) mod (((x div 2) div (2 + 1)) + 2))),x)
A071977: 1 3 5 7 8 10 11 13 15 17 18 19 21 22 23 25
compr(\x.(((x + 1) mod 2) - (((x div 2) div (2 + 1)) mod 2)),x)
A194370: 1 3 5 6 7 8 9 10 11 13 15 17 18 19 20 21
(((((x * x) * x) * (x * x)) + ((2 + 1) * 2)) * x)
A180356: 0 7 76 747 4120 15655 46692 117691 262192 531495 1000060 1771627 2986056 4826887 7529620 11390715
((1 - (2 mod (2 - ((x - (x mod (2 + 1))) div 2)))) + x)
A135578: 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 19
compr(\x.((((((x div 2) div (2 + 1)) + x) div 2) + 1) mod 2),x)
A120752: 2 3 6 9 10 12 13 16 17 19 20 23 26 27 30 33
compr(\x.(((((x div ((2 + 2) * 2)) + x) div 2) + 1) mod 2),x)
A190847: 2 3 6 7 9 10 13 14 16 17 20 21 24 27 28 31
((((((x - 2) * x) + 1) * ((x + 2) + 1)) div 2) * x)
A144298: 0 0 4 36 124 320 672 1260 2152 3456 5260 7700 10884 14976 20104 26460
((((1 - (x div (2 + 2))) mod ((x div 2) + 1)) div 2) + x)
A084690: 0 1 2 3 4 5 6 7 10
A035060: 0 1 2 3 4 5 6 7 10 11 12 13 14 15 17 18
(((((((x div 2) + x) div 2) + 2) * (x + 1)) div 2) + x)
A083462: 1 3 6 11
A099951: 1 3 6 11 16 20
(((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) + x)
A093505: 0 2 3 3 5 5 6 8 9 9 10 12 12 14 15 15
(((((2 - (x div 2)) mod ((x * 2) + 1)) div 2) div 2) + x)
A118732: 0 1 2 3 4 5 9 10 11 13 14 16 17 18 20 21
((((((x - 1) div 2) - 1) * ((x - 1) div 2)) div 2) * x)
A060423: 0 0 0 0 0 5 6 21 24 54 60 110 120 195 210 315
(((((x div 2) + x) div 2) * (((x - 1) div 2) div 2)) + x)
A296161: 0 1 2 3 4 8 10 12 14 21 24 27 30 40 44 48
compr(\x.((x mod (((((x mod 2) - 2) * 2) * 2) - 2)) + 2),x)
A330120-A330108-A330104-A330060-A320456: 1 2 3 4 6 7 8 9 12 13 14 15 16 18 19 21
(((1 - (x * x)) div ((((2 + 2) * 2) * 2) * 2)) + x)
A268680: 0 1 1 2 3 4 4 5 6 6 6 7 7 7 7 8
((((x - (x mod ((x div (2 + 2)) + 2))) div 2) div 2) + x)
A067570: 0 1 2 3 4 5 7
A039202: 0 1 2 3 4 5 7 8 10 11 12 13 14 15 16 18
((x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)) * x)
A244635: 0 29 116 261 464 725 1044 1421 1856 2349 2900 3509 4176 4901 5684 6525
(x - (((x * x) - 2) div ((((2 + 2) * 2) * 2) + x)))
A047783: 1 2 2 3 4 4 5 5 6 6 7 7 7 8 8 8
(((x + 2) div (2 - (x - (((2 + 2) * 2) * 2)))) + x)
A084689: 0 1 2 3 4 5 6 7 9
A294295: 0 1 2 3 4 5 6 7 9 10 11 12 14 16 18 20
(1 - (1 mod (((((1 - x) mod (2 + 2)) + 2) + 2) - x)))
A161838: 0 0 0 0 1 1 1 1 3 5
compr(\x.(1 - ((x * x) mod (((x div (2 + 2)) + 2) * 2))),x)
A155935: 1 3 4 5 7 9 10 11 12 13 14 15 16 17 19 20
compr(\x.((x div (((((x div 2) * x) mod 2) - 2) * 2)) mod 2),x)
A047583: 0 3 5 6 7 8 11 13 14 15 16 19 21 22 23 24
(x - ((((x + 1) * x) - 1) div (((2 + 2) * 2) + x)))
A098388: 1 1 2 2 3 3 4 4 4 4 4 5 5 5 5 5
(1 - (((1 - x) * (x + 2)) div (((2 + 2) * 2) + x)))
A281957: 1 1 2 2 3 4 4 5 6 7 7 8 9 10 11 12
(1 - (((2 - x) * (x * 2)) div (((2 + 2) * 2) + x)))
A067175: 1 1 1 2 3 4 5 6 7 9 10 12 13 15 17 18
(((((2 + 2) * 2) + x) + 1) * (((2 + 2) * 2) - x))
A110678: 72 70 66 60 52 42 30 16 0 ~18 ~38 ~60 ~84 ~110 ~138 ~168
((1 - ((2 - (x * x)) div (((x + 2) + 2) + 2))) * x)
A119638: 0 1 4 6 12 20 24 35 48 63 80 88 108 130 154 180
compr(\x.(x - ((((2 - x) * x) mod ((x + 2) * 2)) * 2)),x)
A073849: 0 1 3 4 5 6 8 10 12 13 14 15 16 17 18 19
(((((((x + 2) * 2) + x) * (x + 2)) + 2) * 2) - x)
A228319: 20 45 82 131 192 265 350 447 556 677 810 955 1112 1281 1462 1655
(((((x mod ((2 + 2) + 1)) + (x div 2)) div 2) div 2) + x)
A140202: 0 1 2 4 5 5 7 8 9 11 11 12 14 15 16 16
(x div (((((x * x) + 1) div ((x div 2) + 2)) + 2) - x))
A319610: 0 0 2 1 2 1 2 1 2 1 1 1 1 1 1 1
(((((x div (2 + 1)) - x) mod ((x div 2) + 2)) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247144: 0 1 2 3 4 5 6 7 8 9 10 14 12 16 18 19
(((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)) + x)
A039142: 0 1 2 3 5 7 8 9 10 11 12 13 15 17 18 19
(((((((x div (2 + 2)) + x) div 2) + x) + 2) * 2) + x)
A190442: 4 7 12 15 20 25 28 33 38 41 46 49 54 59 62 67
(((((((x * x) * 2) + (x div 2)) * x) + 2) + 2) * x)
A258156: 0 6 44 183
(((((x mod ((x div 2) + 1)) div 2) + (x * 2)) * 2) + x)
A045682: 0 5 10 15 20 27 32 37 42 49 54 59 64 71 76 81
((((x - (x mod ((2 + 2) * 2))) + (x div 2)) div 2) + x)
A197433: 0 1 2 3 5 6 7 8 14 15 16 17 19 20 21 22
((((x + 1) mod (2 + 1)) + 1) + (((x div 2) + 2) * x))
A134641: 2 5 7 11 19
((((((2 - x) mod (2 + 2)) + x) + (x div 2)) div 2) + x)
A047286: 1 2 3 6 8 9 10 13 15 16 17 20 22 23 24 27
(((((x - 1) mod ((x div (2 + 1)) + 1)) + x) div 2) + x)
A135215: 0 1 3 4 6 7 10 10 12 13 15
(((((x div 2) div ((0 - 2) * (2 + 1))) + x) div 2) + x)
A240977: 0 1 2 4 5 7 8 10 11 13 14 16 17 19 20 21
(((((((x div 2) + x) div (2 + 2)) mod 2) + x) div 2) + x)
A026430: 0 1 3 5 6 8 9 10 12 14 15 16 18 19 21 23
((((((((x * x) * x) + 1) * x) + 2) * x) + 2) * x)
A054605: 0 6 84 780 4200 15810 46956 118104 262800 532350 1001220 1773156 2988024 4829370 7532700 11394480
(((((x + 1) div (2 + 1)) * ((x div 2) + x)) div 2) + x)
A070334: 0 1 3 5 7 12 15
(((((x + 1) * 2) * ((2 + 2) + 1)) div (x + 2)) + x)
A165513: 5 7 9 11 12 13 14 15 17 18 19 20 21 22 23 24
((((((2 + 2) mod (x + 1)) * x) + 1) div (x + 2)) + x)
A088414: 0 1 2 3 6 8
A321883: 0 1 2 3 6 8 9 10 11 12 13 14 15 16 17 18
(((2 - (x mod ((x mod (2 + 1)) + 2))) div (x + 2)) + x)
A130024: 1 1 2 3 4 5 6 7 8 9 10 10 12 13 14 15
((((((2 + 1) mod (x + 2)) + 2) * x) div (x + 2)) + x)
A138887: 0 1 4 6 7 8 9 10 12 13 14 15 16 17 18 19
compr(\x.(((x mod (((2 + 2) * 2) + 1)) mod 2) - (x mod 2)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A191839: 0 1 2 3 4 5 6 7 8 9 11 13 15 17 18 19
((((x * 2) - (x div (0 - 2))) + 1) * ((x mod 2) + x))
A132356: 0 8 12 36 44 84 96 152 168 240 260 348 372 476 504 624
(((((x * x) + 2) * x) div (2 + 1)) - ((x mod 2) * x))
A212686: 0 0 4 8 24 40 76 112 176 240 340 440 584 728 924 1120
(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) * x)
A016982: 0 49 196 441 784 1225 1764 2401 3136 3969 4900 5929 7056 8281 9604 11025
((x mod (((x - 1) mod (((2 + 2) * 2) + 1)) - x)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A043270: 0 1 2 3 4 5 6 7 8 9 10 2 4 6 8 10
((1 - (2 mod (2 - (((x * 2) div (2 + 1)) + x)))) + x)
A193622: 1 2 3 5 7 10
A096221: 1 2 3 5 7 10 13 15 18
((((x + 1) * x) div ((((2 + 2) * 2) * 2) + x)) + x)
A218442: 0 1 2 3 5 6 7 9 11 12 14 15 17 19 21 22
((((x + 2) * (x + 1)) div (((2 + 2) * 2) + x)) + x)
A135251: 0 1 3 4 6 8 10
A300997: 0 1 3 4 6 8 10 11 13 15 17 19 21 23 24 26
(((x * x) div (((2 + 2) * (2 + 1)) - 1)) + (x * x))
A152785: 0 1 4 9 17 27 39 53 69 88 109 132 157 184 213 245
(((((x * x) div 2) * (2 + 1)) * (2 + 1)) + (x * x))
A195149: 0 1 22 45 88 133 198 265 352 441 550 661 792 925 1078 1233
((x div (((1 - (x div 2)) div (2 + 1)) - 2)) + (x * x))
A213077: 0 0 3 7 14 23 34 46 61 78 97 118 141 165 192 221
loop(\(x,i).loop(\(x,i).loop(\(x,i).loop(\(x,i).(i * x),i,x),i,x),i,x),x,1)
A057527: 1 1 2 48 331776 79254226206720 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (if ((if x <= 0 then 1 else x) mod (2 + 1)) <= 0 then 2 else 1) else 0)
A133565: 1 0 1 0 1 0 2 0 1 0 1 0 2 0 1 0
loop(\(x,i).(if x <= 0 then 1 else loop(\(x,i).(i * x),i,x)),((x + 1) * x),0)
A296627: 0 2 24883200 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),i,(0 - x)),x,0)
A341900: 0 1 2 7 26 127 746 5167 41066 368047 3669866 40284847 482671466 6267305647 87660962666 1313941673647
loop(\(x,i).(i + x),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),0)
A112367: 0 0 1 0 1 3 0 1 3 6 0 1 3 6 10 0
loop(\(x,i).(loop(\(x,i).(if (i - x) <= 0 then x else (x * 2)),i,1) + x),x,0)
A222010: 0 1 3 7
A181497: 0 1 3 7 11 19 27 35 43 59 75 91 107 123 139 155
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).((i + 2) * x),i,2) + x),x,0))
A054117: 1 6 30 150 870 5910 46230 409110 4037910 43954710 522956310 6749977110 93928268310 1401602636310 22324392524310 378011820620310
loop(\(x,i).(loop(\(x,i).loop(\(x,i).i,(x div (2 + 2)),x),1,i) + x),x,0)
A073850: 0 1 3 6 7 8 9 10 12 14 16 18 21 24 27 30
loop(\(x,i).(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),i,i) + x),x,0)
A111138: 0 0 1 1 2 4 4 5 7 10 10 11 13 16 20 20
(loop(\(x,i).(x * 2),x,(if loop(\(x,i).(i - x),x,2) <= 0 then 1 else 2)) - 1)
A290683: 1 1 7 7 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535
loop(\(x,i).(x * x),1,loop(\(x,i).(x * 2),x,((if x <= 0 then 1 else 2) + 1)))
A183354: 4 36 144 576 2304 9216 36864 147456 589824 2359296 9437184 37748736 150994944 603979776 2415919104 9663676416
(loop(\(x,i).(x * 2),x,2) - (if loop(\(x,i).(i - x),x,2) <= 0 then 2 else 1))
A290682: 1 2 7 14 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535
(loop(\(x,i).loop(\(x,i).(x * 2),loop(\(x,i).(i * x),i,1),1),x,2) - 1)
A135444: 1 1 3 63
A175985: 1 1 3 63 16777215 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,(loop(\(x,i).(x * 2),x,2) - 1))
A122743: 1 6 56 960 31744 2064384 266338304 68451041280 35115652612096 35993612646875136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else loop(\(x,i).loop(\(x,i).((i + 1) * x),i,x),(x * 2),1))
A280734: 2 12 34560 125411328000 4611686018427387903 4611686018427387903
(if loop(\(x,i).(x * x),x,x) <= 0 then 2 else (loop(\(x,i).(x * x),x,2) + 1))
A290200-A269834: 2 5 17 257 65537
A111635: 2 5 17 257 65537 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(if x <= 0 then i else (x - 1)),i,0) + x) + 1),x,1)
A255748: 1 3 4 8 11 13 14 22 29 35 40 44 47 49 50 66
loop(\(x,i).loop(\(x,i).((x div (if i <= 0 then 1 else i)) * x),x,(i + 1)),x,1)
A165812: 1 4 46656 4611686018427387903
loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)),2,(x + 1))
A220465: 1 2 1 1 2 1 3 1 2 1 2 3 1 2 1 1
compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x),(x + 1))
A300630-A277704-A082752: 1 2 3 4 6 7 8 12 14 15 16 24 28 30 31 32
loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A059268: 1 1 2 1 2 4 1 2 4 8 1 2 4 8 16 1
loop(\(x,i).(i * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A168266: 1 1 2 1 2 4 1 2 4 6 1 2 4 6 8 1
loop(\(x,i).(i div 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A133734: 1 1 0 1 0 1 1 0 1 1 1 0 1 1 2 1
loop(\(x,i).(i * x),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A233543: 1 1 1 1 1 2 1 1 2 6 1 1 2 6 24 1
loop(\(x,i).loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),i,(1 - x)),x,1)
A136580: 1 1 3 7 27 127 747 5167 41067 368047 3669867 40284847 482671467 6267305647 87660962667 1313941673647
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(i - x),i,1)) + x),x,1)
A030533: 1 1 5 6 15 19 35 44 69 85 121 146 195 231 295 344
loop(\(x,i).(x - loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 1)),x,x)),x,1)
A060985: 1 2 3 6 12 22 43 79 157 310 610 1205 2381 4727 9383 18699
loop(\(x,i).loop(\(x,i).(x - (i - loop(\(x,i).(x * 2),i,1))),i,x),x,1)
A088921: 1 2 5 13 33 80 185 411 885 1862 3853 7881 15993 32284 64945 130359
loop(\(x,i).(x * x),1,loop(\(x,i).((if (i mod 2) <= 0 then 2 else i) * x),x,1))
A193282: 1 1 4 36 144 3600 14400 705600 2822400 228614400 914457600 110649369600 442597478400 74798973849600 299195895398400 67319076464640000
loop(\(x,i).loop(\(x,i).((x * 2) + 1),i,loop(\(x,i).(x * 2),i,x)),x,1)
A215172: 1 5 83 5319 1361679 1394359327 5711295803455 93573870443806847 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),i,x),i,1) + x),x,0) div 2)
A246534: 0 1 5 37 549 16933 1065509 135283237 34495021605 17626681066021 18032025190548005 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x * 2),x,2)))
A271061: 1 8 48 224 960 3968 16128 65024 261120 1046528 4190208 16769024 67092480 268402688 1073676288 4294836224
(if loop(\(x,i).((x * x) * x),x,x) <= 0 then 1 else loop(\(x,i).(x * 2),x,2))
A074025: 1 4 8 16 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((i + x) + 2),i,x),i,1) + x),x,2)
A252814: 2 6 17 40 81 147 246 387 580 836 1167 1586 2107 2745 3516 4437
loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),(2 + 1),x)
A038573: 0 1 1 3 1 3 3 7 1 3 3 7 3 7 7 15
loop(\(x,i).(i * x),x,((if (x - 2) <= 0 then (if x <= 0 then 1 else x) else 1) + x))
A052624: 1 2 8 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 20922789888000
loop(\(x,i).loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),i,x),(x - 1),x)
A222010: 0 1 3 7
A014144: 0 1 3 7 17 51 205 1079 6993 53227 462341 4500255 48454969 571411283 7321388397 101249656711
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + (if x <= 0 then 1 else x))
A134478: 1 1 2 2 3 4 3 4 5 6 4 5 6 7 8 5
(2 - loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) + 2),2,x))
A335964-A055363: 1 1 0 1 0 0 1 1 0 0 1 2 1 0 0 1
loop(\(x,i).loop(\(x,i).((if (i - 2) <= 0 then 1 else x) + x),x,2),x,(2 - x))
A343494: 2 3 4 16 65536
(if x <= 0 then 1 else loop(\(x,i).(if (i mod 2) <= 0 then 1 else (x * 2)),(x - 2),x))
A289203: 1 1 2 6 1 2 1 2 1 2 1 2 1 2 1 2
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).(i * x),i,x) + i),(x - 2),x))
A319634: 1 1 2 4 12 87
loop(\(x,i).(x * x),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x))
A143844: 0 0 1 0 1 4 0 1 4 9 0 1 4 9 16 0
loop(\(x,i).(x * x),1,loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x))
A095831: 0 1 0 4 1 0 9 4 1 0 16 9 4 1 0 25
compr(\x.(1 - loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x)),x)
A300669-A277706-A166934-A101082: 5 9 10 11 13 17 18 19 20 21 22 23 25 26 27 29
loop(\(x,i).(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),i,i) + x),x,x)
A332023: 0 1 3 4 6 9 10 12 15 19 20 22 25 29 34 35
(if (if (((x div 2) * x) mod (2 + 2)) <= 0 then (x - 1) else 0) <= 0 then 1 else 0)
A264048-A110471: 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1
(if x <= 0 then 2 else (if (x mod (((2 + 2) + 1) * 2)) <= 0 then (0 - 1) else 0))
A010106: 2 0 0 0 0 0 0 0 0 0 ~1 0 0 0 0 0
(if (if ((x mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then x else 0) <= 0 then 1 else 0)
A050072: 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1
(if (if (x mod (2 - (x mod ((0 - 2) - 2)))) <= 0 then x else 0) <= 0 then 1 else 0)
A117908: 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0
(if (if (x mod (((x div 2) mod (2 + 2)) + 2)) <= 0 then x else 0) <= 0 then 1 else 0)
A240009-A117904: 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0
(if (if ((((2 + 2) + 1) * 2) mod (x + 2)) <= 0 then x else 0) <= 0 then 1 else 0)
A175087-A050332: 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1
(if ((x - 2) mod ((x div (2 + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 0)
A342704: 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0
(if x <= 0 then 2 else (if ((x - 2) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 0))
A307832: 2 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0
(if (x mod (2 + 1)) <= 0 then loop(\(x,i).(x * 2),(x div (2 + 1)),1) else 0)
A077958: 1 0 0 2 0 0 4 0 0 8 0 0 16 0 0 32
((loop(\(x,i).(i * x),(x - 2),x) * x) + (if (x - 1) <= 0 then 1 else 0))
A054119: 1 2 4 9 32 150 864 5880 46080 408240 4032000 43908480 522547200 6745939200 93884313600 1401079680000
(if (x mod 2) <= 0 then (if x <= 0 then 1 else (x div (((2 + 1) * 2) + 1))) else 0)
A294142: 1 0 0 0 0 0 0 0 1 0 1 0 1 0 2 0
(if (2 - x) <= 0 then (if (x mod ((x mod (2 + 1)) + 2)) <= 0 then 2 else 1) else 0)
A194636: 0 0 1 1 1 1 2 1 2 1 1 1 2 1 1 1
(if (x mod (2 + 1)) <= 0 then (if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1) else 0)
A341774: 1 0 0 1 0 0 1 0 0 2 0 0 1 0 0 1
(if (2 - x) <= 0 then (if ((x div (0 - 2)) mod (2 + 2)) <= 0 then 2 else 1) else 0)
A118164: 0 0 1 1 1 1 1 2 2 1 1 1 1 1 1 2
(if ((2 - x) + 2) <= 0 then loop(\(x,i).i,(x - ((2 + 2) * 2)),1) else 0)
A033104: 0 0 0 0 1 1 1 1 1 1 2 3 4 5 6 7
(if (x - 2) <= 0 then (1 - x) else (if (x mod ((2 + 2) * 2)) <= 0 then 1 else 0))
A154271: 1 0 ~1 0 0 0 0 0 1 0 0 0 0 0 0 0
(if (x - 2) <= 0 then 1 else (if (x mod ((x mod (2 + 2)) + 2)) <= 0 then 1 else 0))
A079295: 1 1 1 0 1 0 0 0 1 1 0 0 1 0 0 1
loop(\(x,i).((if x <= 0 then 1 else 2) * (x + 1)),(x div ((2 + 2) + 1)),0)
A035627: 0 0 0 0 0 1 1 1 1 1 4 4 4 4 4 10
loop(\(x,i).(loop(\(x,i).(x * 2),x,1) + 1),(x mod ((2 + 2) + 1)),0)
A254429: 0 2 5 33 8589934593
(if x <= 0 then 1 else (if (x mod (((2 + 2) + 1) * 2)) <= 0 then (2 + 1) else 0))
A269250: 1 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0
(if (x mod (2 + 2)) <= 0 then ((2 - (if x <= 0 then 1 else x)) mod (2 + 1)) else 0)
A325194-A073345: 1 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0
loop(\(x,i).(1 - x),(x div 2),(if (x mod 2) <= 0 then ((x div 2) + 1) else 0))
A166445: 1 0 ~1 1 3 0 ~3 1 5 0 ~5 1 7 0 ~7 1
(if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then ((x mod 2) + 1) else 0)
A078461: 1 2 1 2 1 2 1 2 0 2 1 2 1 2 1 2
loop(\(x,i).((x * 2) + 1),((if (x mod 2) <= 0 then x else (1 - x)) + 1),0)
A282413: 1 1 7 0 31 0 127 0 511 0 2047 0 8191 0 32767 0
(loop(\(x,i).(((i mod 2) + x) * 2),x,1) + (if (2 - x) <= 0 then 1 else 0))
A133649: 1 4 9 19 37 75 149 299 597 1195 2389 4779 9557 19115 38229 76459
loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) * (i + 2)),(x + 1),0)
A000276: 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 2944310342400 48503818137600 846795372595200 15618926924697600
loop(\(x,i).loop(\(x,i).(((i + 2) * i) + x),(i + 1),x),(x + 1),0)
A217947: 11 37 87 172 305 501 777 1152 1647 2285 3091 4092 5317 6797 8565 10656
loop(\(x,i).(((if (i mod 2) <= 0 then i else 1) * (i * i)) + x),(x + 1),0)
A140149: 1 9 18 82 107 323 372 884 965 1965 2086 3814 3983 6727 6952 11048
loop(\(x,i).((i * x) * 2),x,loop(\(x,i).((i * i) + x),(x + 1),0))
A014484: 1 10 112 1440 21120 349440 6451200 131604480 2941747200 71530905600 1880240947200 53137244160000 1606870263398400 51776930709504000 1771128112545792000 4611686018427387903
loop(\(x,i).((((if (i mod 2) <= 0 then 1 else i) * i) * i) + x),(x + 1),0)
A140154: 1 5 32 48 173 209 552 616 1345 1445 2776 2920 5117 5313 8688 8944
loop(\(x,i).(i * x),(x - 1),loop(\(x,i).((x + 1) * 2),(x - 1),0))
A052867: 0 0 2 12 84 720 7440 90720 1280160 20563200 370863360 7424524800 163419379200 3923023104000 102011054745600 2856483889459200
loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).((i + x) + x),(x - 1),0))
A100575: 0 0 1 8 44 208 912 3840 15808 64256 259328 1042432 4180992 16748544 67047424 268304384
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),2) + (i * x)),(x - 1),0)
A052517: 0 0 2 6 22 100 548 3528 26136 219168 2053152 21257280 241087680 2972885760 39605518080 566931294720
((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 0) + (if x <= 0 then 1 else 0))
A063667: 3 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else (if x <= 0 then 1 else 0))
A110981: 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) + (if x <= 0 then 1 else 0))
A110595: 5 20 100 500 2500 12500 62500 312500 1562500 7812500 39062500 195312500 976562500 4882812500 24414062500 122070312500
(if (x mod 2) <= 0 then loop(\(x,i).(((i mod 2) + (i - 1)) * x),x,1) else 0)
A177145: 1 0 1 0 9 0 225 0 11025 0 893025 0 108056025 0 18261468225 0
(if (x mod ((2 + 2) + 1)) <= 0 then (if (x mod 2) <= 0 then 1 else (0 - 2)) else 0)
A089814: 1 0 0 0 0 ~2 0 0 0 0 1 0 0 0 0 ~2
(if (x mod 2) <= 0 then 1 else (if ((x mod ((2 + 2) + 1)) - 1) <= 0 then 2 else 0))
A191329: 1 2 1 0 1 2 1 0 1 0 1 2 1 0 1 2
(if x <= 0 then 1 else (if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 2 else 0))
A300715: 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0
(if (x mod 2) <= 0 then (if ((2 + 2) mod ((x div 2) + 1)) <= 0 then 1 else 2) else 0)
A230642: 1 0 1 0 2 0 1 0 2 0 2 0 2 0 2 0
(if (x mod (2 + 2)) <= 0 then (if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) else 0)
A280751: 1 0 0 0 1 0 0 0 1 0 0 0 2 0 0 0
(if ((x div 2) mod 2) <= 0 then (if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) else 0)
A137676: 1 1 0 0 1 1 0 0 1 2 0 0 2 2 0 0
(if (x mod (2 + 1)) <= 0 then (if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) else 0)
A079807: 1 0 0 1 0 0 1 0 0 1 0 0 2 0 0 2
(if (x mod 2) <= 0 then (if x <= 0 then 1 else (((x div (2 + 2)) + 1) div 2)) else 0)
A008614: 1 0 0 0 1 0 1 0 1 0 1 0 2 0 2 0
(if x <= 0 then 1 else (if (((x * 2) * 2) mod ((x + 2) + 1)) <= 0 then 2 else 0))
A335379: 1 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0
(if x <= 0 then 1 else (if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then 2 else 0))
A329266-A318985-A318984-A260676-A255258-A033759-A033755-A033753-A033749-A033743-A033741-A033735-A033731-A033729-A000122: 1 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0
(if x <= 0 then 1 else (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 0))
A069517: 1 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2
(if x <= 0 then 1 else (if ((((x div 2) - 2) - 2) mod (x + 1)) <= 0 then 2 else 0))
A214304: 1 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0
(if (x - 1) <= 0 then 1 else (if (x mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 0))
A257403: 1 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0
(if x <= 0 then 1 else (x - (if (x - 2) <= 0 then (1 - ((2 + 2) * 2)) else 0)))
A339800: 1 8 9 3
(if x <= 0 then 1 else (if (x mod (((2 + 2) * 2) + 1)) <= 0 then (2 + 2) else 0))
A217511: 1 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (if x <= 0 then 1 else (2 + 2)) else 0)
A307380: 1 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0
(if (x mod (2 + 1)) <= 0 then (2 - (((if x <= 0 then 2 else x) div 2) mod 2)) else 0)
A341775: 1 0 0 1 0 0 1 0 0 2 0 0 2 0 0 1
(if x <= 0 then 0 else (1 - (if (x mod (2 + 1)) <= 0 then ((x mod 2) - 2) else 0)))
A137457: 0 1 1 2 1 1 3 1 1 2 1 1 3 1 1 2
loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).((x - 2) * 2),(x - 2),0)))
A187468: 1 2 4 40 208 928 3904 16000 64768 260608 1045504 4188160 16764928 67084288 268386304 1073643520
loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).((i + x) + x),(x - 2),0))
A000431: 0 0 0 2 16 88 416 1824 7680 31616 128512 518656 2084864 8361984 33497088 134094848
(if x <= 0 then 1 else (if (x mod ((2 + 2) * (2 + 1))) <= 0 then (x div 2) else 0))
A331979: 1 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0
(if (x - 1) <= 0 then 1 else (if (x mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0))
A256436: 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1
loop(\(x,i).((((x + 2) * (x + 1)) div 2) + (if x <= 0 then 0 else 1)),x,0)
A220788: 0 1 4 16
A226588: 0 1 4 16 154 12091 73114279 2672849006516341 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - (if (i mod (2 + 2)) <= 0 then 2 else 0)) * 2) + 1),x,0)
A222010: 0 1 3 7
A139814: 0 1 3 7 11 23 47 95 187 375 751 1503 3003 6007 12015 24031
loop(\(x,i).((x - (if (i mod 2) <= 0 then 2 else (0 - 2))) * (2 + 1)),x,0)
A120471: 0 6 12 42 120 366 1092 3282 9840 29526 88572 265722 797160 2391486 7174452 21523362
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x + 2) + 2) * (2 + 1)),x,0))
A066406: 0 24 192 1248 7680 46464 279552 1678848 10076160 60463104 362790912 2176770048 13060669440 78364114944 470184886272 2821109710848
(1 - loop(\(x,i).(x * 2),x,loop(\(x,i).((x - 2) * (2 + 1)),x,0)))
A049294: 1 13 97 625 3841 23233 139777 839425 5038081 30231553 181395457 1088385025 6530334721 39182057473 235092443137 1410554855425
loop(\(x,i).(x * x),1,(1 - loop(\(x,i).((2 - x) * (2 + 1)),x,0)))
A120096: 1 25 169 1681 14641 133225 1194649 10764961 96845281 871725625 7845176329 70607649841 635465659921 5719200505225 51472775849209 463255068736321
loop(\(x,i).(0 - x),x,loop(\(x,i).((((x mod 2) + x) * 2) + 1),x,0))
A344920: 0 ~1 5 ~13 29 ~61 125 ~253 509 ~1021 2045 ~4093 8189 ~16381 32765 ~65533
(loop(\(x,i).((x + 1) * i),x,0) + loop(\(x,i).((x * 2) + 1),x,0))
A097967: 0 2 7 22 79 356 2019 13826 109855 986920 9865123 108507158 1302065439 16926805676 236975181187 3554627504842
(loop(\(x,i).(x * x),2,(2 + 1)) * loop(\(x,i).((x * 2) + 1),x,0))
A335843: 0 81 243 567 1215 2511 5103 10287 20655 41391 82863 165807 331695 663471 1327023 2654127
loop(\(x,i).((x * x) * (x + 2)),1,loop(\(x,i).((x * 2) + 1),x,0))
A060242: 0 3 45 441 3825 31713 257985 2080641 16711425 133955073 1072692225 8585738241 68702695425 549688696833 4397778059265 35183298314241
loop(\(x,i).(((x * x) * x) - 2),1,loop(\(x,i).((x * 2) + 1),x,0))
A098878: ~2 ~1 25 341 3373 29789 250045 2048381 16581373 133432829 1070599165 8577357821 68669157373 549554511869 4397241253885 35181150961661
loop(\(x,i).((x * 2) * 2),(x - 1),loop(\(x,i).((x * 2) + 1),x,0))
A016152: 0 1 12 112 960 7936 64512 520192 4177920 33488896 268173312 2146435072 17175674880 137422176256 1099444518912 8795824586752
(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).((x * 2) + 1),x,0))
A119683: 1 4 12 34
A005056: 1 4 12 34 96 274 792 2314 6816 20194 60072 179194 535536 1602514 4799352 14381674
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,0))
A083323: 1 2 6 20 66 212 666 2060 6306 19172 58026 175100 527346 1586132 4766586 14316140
((loop(\(x,i).(x * x),x,2) + 2) - loop(\(x,i).((x * 2) + 1),x,0))
A119562: 4 5 15 251 65523 4294967267 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x - 1) * x),loop(\(x,i).((x * 2) + 1),x,0))
A322556: 0 1 12 448 61440 32505856 67645734912 558551906910208 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),x,loop(\(x,i).((x * 2) + 1),x,0))
A248340: 0 5 75 875 9375 96875 984375 9921875 99609375 998046875 9990234375 99951171875 999755859375 9998779296875 99993896484375 999969482421875
loop(\(x,i).(i * x),(x - 1),(x - loop(\(x,i).((x * 2) - 1),x,0)))
A052850: 0 2 5 20 114 864 8280 96480 1325520 20966400 374855040 7468070400 163938297600 3929729126400 102104460057600 2857878742118400
loop(\(x,i).(((loop(\(x,i).((x + 1) * x),2,2) + 1) * x) + 1),x,0)
A218746: 0 1 44 1893 81400 3500201 150508644 6471871693 278290482800 11966490760401 514559102697244 22126041415981493 951419780887204200 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((2 + 1) * x) - 1),x,0))
A094374: 1 3 8 21 56 153 428 1221 3536 10353 30548 90621 269816 805353 2407868 7207221
loop(\(x,i).((x * x) + 1),1,loop(\(x,i).(((x + 1) * x) + 1),x,0))
A063573: 1 2 10 170 33490 1133870930 1285739648704587610 4611686018427387903
loop(\(x,i).((loop(\(x,i).(i * x),i,1) + ((i + 1) * x)) - 1),x,0)
A121633: 0 0 1 9 68 527 4408 40303 403046 4393339 51955528 663383135 9102982354 133668773755 2092209897524 34783032728383
loop(\(x,i).(loop(\(x,i).((x + 2) * x),(i - 1),1) * (x + 1)),x,0)
A048707: 0 1 6 105 27030 1771476585 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * 2) * 2),x,2) - 1) - (if (x - 1) <= 0 then x else 0))
A267890: 1 6 31 127 511 2047 8191 32767 131071 524287 2097151 8388607 33554431 134217727 536870911 2147483647
loop(\(x,i).(((x + 1) * x) + 1),1,loop(\(x,i).((x * x) + 1),x,0))
A213437: 1 3 7 31 703 459007 210066847231 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - 1) * x) + 1),1,loop(\(x,i).((x * x) + 1),x,0))
A001699: 1 1 3 21 651 457653 210065930571 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,x) + 1),x,0)
A076127: 0 1 101 101001 1010010001 101001000100001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),(i - 2),1) + (i * x)) - 1),x,0)
A187246: 0 0 0 1 7 42 267 1900 15263 137494 1375195 15127656 181532895 2359929682 33039019643 495585302836
(1 - loop(\(x,i).(x * 2),x,loop(\(x,i).((x - (2 + 1)) * 2),x,0)))
A020527: 1 13 73 337 1441 5953 24193 97537 391681 1569793 6285313 25153537 100638721 402604033 1610514433 6442254337
(if (x - 1) <= 0 then (1 - x) else loop(\(x,i).(((x * 2) + 1) * 2),x,0))
A087120: 1 0 10 42 170 682 2730 10922 43690 174762 699050 2796202 11184810 44739242 178956970 715827882
(loop(\(x,i).(i * i),(x - 1),1) * loop(\(x,i).((x + 1) * 2),x,0))
A213026: 0 2 6 56 270
loop(\(x,i).((2 + 1) * x),(x - 1),loop(\(x,i).((x + 1) * 2),x,0))
A060589: 0 2 18 126 810 5022 30618 185166 1115370 6705342 40271418 241746606 1450833930 8706066462 52239587418 313447090446
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x + 1) * 2),x,0))
A101052: 1 1 3 13 51 181 603 1933 6051 18661 57003 173053 523251 1577941 4750203 14283373
loop(\(x,i).((if x <= 0 then 1 else ((((i mod 2) + x) + 1) * 2)) * 2),x,0)
A122229: 0 2 12 56 228 920 3684 14744 58980 235928 943716 3774872 15099492 60397976 241591908 966367640
loop(\(x,i).(((if (x - 2) <= 0 then 1 else x) + ((x * 2) * 2)) * 2),x,0)
A337855: 0 2 18 180 1800 18000 180000 1800000 18000000 180000000 1800000000 18000000000 180000000000 1800000000000 18000000000000 180000000000000
loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,0)))
A246036: 1 6 20 88 336 1376 5440 21888 87296 349696 1397760 5593088 22368256 89481216 357908480 1431666688
loop(\(x,i).loop(\(x,i).(i + x),i,((((2 + 2) + 1) * x) * 2)),x,0)
A052262: 0 1 13 136 1370 13715 137171 1371738 13717416 137174205 1371742105 13717421116 137174211238 1371742112471 13717421124815 137174211248270
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + i),i,0) - (x * 2)),x,0)
A096978: 0 1 4 19 74 305 1208 4863 19398 77709 310612 1242907 4970722 19884713 79535216 318148151
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),1) - (x * 2)),x,0)
A015441: 0 1 1 7 13 55 133 463 1261 4039 11605 35839 105469 320503 953317 2876335
loop(\(x,i).((0 - x) * 2),(x - 1),loop(\(x,i).(1 - (x * 2)),x,0))
A003683: 0 1 2 12 40 176 672 2752 10880 43776 174592 699392 2795520 11186176 44736512 178962432
loop(\(x,i).((if x <= 0 then ((i div (2 + 1)) + 1) else 0) + (x div 2)),x,0)
A219659: 0 1 0 2 1 0 3 1 0 4 2 1 0 5 2 1
(loop(\(x,i).((i mod 2) + (x * 2)),x,0) - (if (x mod 2) <= 0 then x else 0))
A132796: 0 1 0 5 6 21 36 85 162 341 672 1365 2718 5461 10908 21845
(loop(\(x,i).(x * 2),x,1) - (1 div (1 - (if (x mod 2) <= 0 then x else 0))))
A166977: 0 1 5 7 17 31 65 127 257 511 1025 2047 4097 8191 16385 32767
loop(\(x,i).(if x <= 0 then 1 else ((x mod (((2 + 1) * 2) + 1)) + x)),x,0)
A010459-A010410: 0 1 2 4 8 9 11 15 16 18 22 23 25 29 30 32
loop(\(x,i).(loop(\(x,i).(x * 2),(((i - 1) * i) div 2),1) + x),x,0)
A181388: 0 1 3 11 75 1099 33867 2131019 270566475 68990043211 35253362132043 36064050381096011 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((i * 2) + 1) * x),(i - 2),1) + x),x,0)
A192225: 0 1 2 5
A076795: 0 1 2 5 20 125 1070 11465 146600 2173625 36633050 691362125 14440672700 330674815925 8236528396550 221694575073425
loop(\(x,i).(loop(\(x,i).((x - i) * x),2,((i * 2) + 1)) + x),x,0)
A228406: 0 24 384 2064 7104 18984 43008 86688 160128 276408 451968 706992 1065792 1557192 2214912 3077952
loop(\(x,i).(loop(\(x,i).(((i + 1) * x) - (x mod 2)),i,1) + x),x,0)
A056199: 0 1 3 11 51 291 1971 15411 136371 1345971 14651571 174318771 2249992371 31309422771 467200878771 7441464174771
loop(\(x,i).(((loop(\(x,i).(i * x),i,1) + x) * (i + 1)) + x),x,0)
A122057: 0 2 14 94 684 5508 49104 482256 5185440 60668640 767940480 10462227840 152698210560 2377651449600 39350097561600 689874448435200
loop(\(x,i).(if x <= 0 then 2 else ((((i * i) * (i + 1)) div 2) + x)),x,0)
A211885: 0 2 8 26 66 141 267 463 751
loop(\(x,i).(((if (x mod 2) <= 0 then 1 else x) * (i - (x mod 2))) + x),x,0)
A192225: 0 1 2 5
A077138: 0 1 2 5 20 25 150 157 1256 1265 12650 12661 151932 151945 2127230 2127245
loop(\(x,i).loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + i),2,x),x,0)
A177090: 0 12 1212 121212 12121212 1212121212 121212121212 12121212121212 1212121212121212 121212121212121212 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod 2) <= 0 then 2 else (x * 2)) * (i div 2)) + x),x,0)
A222559: 0 0 2 6 10 50 56 392 400 3600 3610 39710 39722 516386 516400 7746000
loop(\(x,i).(loop(\(x,i).((x * x) * 2),(i - 1),1) + (x * x)),x,0)
A332758: 0 1 3 17 417 206657 44854599297 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) - (x mod 2)),(i - 1),i) + x),x,0)
A176640: 0 1 5 14 46 111 303 688 1712 3761 8881 19122 43698 92851 207539 436916
loop(\(x,i).(loop(\(x,i).(((i + x) * x) div (i + 1)),2,i) + x),x,0)
A081282: 0 1 6 22 62 147 308 588 1044 1749 2794 4290 6370 9191 12936 17816
loop(\(x,i).(loop(\(x,i).((i * x) + (i mod 2)),i,0) + (i * x)),x,0)
A088129: 0 1 4 19 104 661 4812 39607 364240 3704617 41310740 501328411 6578864184 92843236669 1402257345244 22570640656831
loop(\(x,i).(loop(\(x,i).((i * x) + 1),(i - 1),1) + (i * x)),x,0)
A093904: 0 1 4 17 84 485 3236 24609 210572 2004749 21033900 241237001
A093344: 0 1 4 17 84 485 3236 24609 210572 2004749 21033900 241237001 3003349124 40345599957 581765196884 8963453118065
loop(\(x,i).(loop(\(x,i).((0 - x) * 2),(i - 1),1) + (i * x)),x,0)
A063083: 0 1 0 4 8 56 304 2192 17408 156928 1568768 17257472 207087616 2692143104 37689995264 565349945344
loop(\(x,i).(loop(\(x,i).((i * x) * 2),(i - 1),1) + (i * x)),x,0)
A126674: 0 1 4 20 128 1024 9984 115968 1572864 24477696 430571520 8452177920 183175741440 4343275192320 111817607086080 3105593229312000
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),(i mod 2)) + (i * x)),x,0)
A080252: 0 1 2 10 40 216 1296 9136 73088 658048 6580480 72386304 868635648 11292267520 158091745280 2371376195584
loop(\(x,i).loop(\(x,i).((((i * i) * (i + 1)) div 2) + x),i,x),x,0)
A051836: 0 1 8 33 98 238 504 966 1716 2871 4576 7007 10374 14924 20944 28764
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,i) + x),x,0)
A052245: 0 10 210 3210 43210 543210 6543210 76543210 876543210 9876543210 109876543210 1209876543210 13209876543210 143209876543210 1543209876543210 16543209876543210
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((i * i) + x),x,0))
A076767: 0 1 15 105 465 1540 4186 9870 20910 40755 74305 128271 211575 335790 515620 769420
loop(\(x,i).((loop(\(x,i).(x * 2),(i - 1),i) * (i * i)) + x),x,0)
A036828: 0 1 17 125 637 2637 9549 31501 97037 283661 795661 2158605 5697549 14696461 37175309 92471309
loop(\(x,i).((loop(\(x,i).((x * x) * x),2,i) * (i * i)) + x),x,0)
A123095: 0 1 2049 179196 4373500 53201625 415998681 2393325424 10983260016 42364319625 142364319625 427675990236 1170684360924 2962844754961 7012409924625 15662165784000
loop(\(x,i).((loop(\(x,i).((i * i) * x),(i - 1),1) + x) * i),x,0)
A061640: 0 1 4 24 240 4080 110880 4404960 238452480 16777393920 1484592883200 161180605555200 21054378333542400 3256459844769331200 4611686018427387903 4611686018427387903
(if ((x + 2) mod (((if (x mod 2) <= 0 then x else 2) * 2) + 1)) <= 0 then 0 else 1)
A100544-A031214: 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1
((if (x mod (2 + 1)) <= 0 then ((if x <= 0 then 0 else 2) * (2 + 1)) else 0) + 1)
A105395: 1 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7
(loop(\(x,i).(if x <= 0 then 2 else ((x - 1) * (2 + 1))),(x - 1),0) + 1)
A291773: 1 1 3 4 7 16 43 124 367 1096 3283 9844 29527 88576 265723 797164
loop(\(x,i).(x * 2),(x - 1),((if x <= 0 then ((0 - 2) - 2) else 0) - 1))
A157823: ~5 ~1 ~2 ~4 ~8 ~16 ~32 ~64 ~128 ~256 ~512 ~1024 ~2048 ~4096 ~8192 ~16384
(if ((x + 2) mod ((if (x - (2 + 2)) <= 0 then 1 else 2) + 2)) <= 0 then 0 else 1)
A317241: 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1
(if x <= 0 then 0 else ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 0) + 1))
A331273: 0 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3
(if x <= 0 then 0 else ((if (x mod (((x div 2) + 2) + 2)) <= 0 then 2 else 0) + 1))
A225054: 0 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1
(loop(\(x,i).((x + 1) * 2),x,0) div ((if (x mod 2) <= 0 then 2 else 0) + 1))
A060590: 0 2 2 14 10 62 42 254 170 1022 682 4094 2730 16382 10922 65534
(((if x <= 0 then 1 else 2) * (2 + 1)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040074: 9 6 18 6 18 6 18 6 18 6 18 6 18 6 18 6
((((if x <= 0 then 0 else 2) + 2) * 2) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040134: 12 8 24 8 24 8 24 8 24 8 24 8 24 8 24 8
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x + 2) * 2),(x + 2),0) + 1))
A086221: 13 58 244 1000 4048 16288 65344 261760 1047808 4192768 16774144 67102720 268423168 1073717248 4294918144 17179770880
(if (x mod 2) <= 0 then (2 - (((if x <= 0 then 2 else x) div 2) mod 2)) else (0 - 1))
A164117: 1 ~1 1 ~1 2 ~1 1 ~1 2 ~1 1 ~1 2 ~1 1 ~1
(loop(\(x,i).(((if x <= 0 then 1 else x) * 2) * ((2 + 2) + 1)),x,0) + 1)
A000533: 1 11 101 1001 10001 100001 1000001 10000001 100000001 1000000001 10000000001 100000000001 1000000000001 10000000000001 100000000000001 1000000000000001
(loop(\(x,i).(x - (if x <= 0 then (x - ((i div 2) + i)) else 1)),x,0) + 1)
A280513: 1 2 1 5 4 3 2 1 13 12 11 10 9 8 7 6
(loop(\(x,i).((if x <= 0 then 2 else (x - ((i mod 2) - 1))) * 2),x,0) + 1)
A168642: 1 5 11 21 43 85 171 341 683 1365 2731 5461 10923 21845 43691 87381
loop(\(x,i).((x * 2) * (i + 1)),loop(\(x,i).((x + 1) * 2),x,0),1)
A028371: 1 24 322560 21424936845312000 4611686018427387903
((if (x - 2) <= 0 then (x * 2) else loop(\(x,i).((x + 1) * 2),x,0)) + 1)
A286521: 1 3 5 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535
(loop(\(x,i).(loop(\(x,i).((x * x) + 1),i,2) + (x * 2)),x,0) + 1)
A285934: 1 6 37 750 459829 210067308558 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * x),(x - 1),(2 + 1)) - (if x <= 0 then 0 else 1))
A005267: 3 2 5 29 869 756029 571580604869 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (if x <= 0 then 0 else 1))
A103456: 1 9 99 999 9999 99999 999999 9999999 99999999 999999999 9999999999 99999999999 999999999999 9999999999999 99999999999999 999999999999999
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + (if x <= 0 then 0 else 1))
A103458: 1 8 50 344 2402 16808 117650 823544 5764802 40353608 282475250 1977326744 13841287202 96889010408 678223072850 4747561509944
(loop(\(x,i).((x - 1) * x),(x - 1),(2 + 2)) - (if x <= 0 then 0 else 1))
A126604: 4 3 11 131 17291 298995971 89398590973228811 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then (2 + 2) else 1) * ((x * 2) - (if x <= 0 then 0 else 1)))
A110185: 0 1 12 5 28 9 44 13 60 17 76 21 92 25 108 29
((loop(\(x,i).(x div (2 - (x mod 2))),x,x) * 2) - (if x <= 0 then 0 else 1))
A129343: 0 1 1 5 1 9 5 13 1 17 9 21 5 25 13 29
((((if (x - 2) <= 0 then x else (2 + 1)) + 1) * x) - (if x <= 0 then 0 else 1))
A217585: 0 1 5 11 15 19 23 27 31 35 39 43 47 51 55 59
((loop(\(x,i).((x * x) + 2),2,(2 + 1)) * x) - (if x <= 0 then 0 else 1))
A004925: 0 122 245 368 491 614 737 860 983 1106 1229 1352 1475 1598 1721 1844
(loop(\(x,i).((if (i mod ((x mod 2) + 2)) <= 0 then 1 else x) + x),x,0) + 1)
A113050: 1 1 2 3 4 7 8 15 16 17 18 35 36 71 72 73
(loop(\(x,i).(((if (i mod (2 + 2)) <= 0 then i else 1) + x) + x),x,0) + 1)
A222011: 1 2 4 8
A018306: 1 2 4 8 19 38 76 152
(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).(x * 2),x,1) + 1)) + 1)
A239679: 7 13 31 91 307 1123 4291 16771 66307 263683 1051651 4200451 16789507 67133443 268484611 1073840131
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + 1)
A074508: 3 10 46 244 1378 8020 47386 282124 1686178 10097380 60525226 362974204 2177313778 13062288340 78368947066 470199333484
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) + 1)
A074502: 3 9 41 225 1313 7809 46721 280065 1679873 10078209 60467201 362799105 2176786433 13060702209 78364180481 470185017345
loop(\(x,i).(x * 2),loop(\(x,i).(i * x),(x mod ((2 + 2) * 2)),1),1)
A050923: 2 2 4 64 16777216 4611686018427387903
(if (2 - x) <= 0 then (if (((x div 2) * x) mod (2 + 2)) <= 0 then 2 else 1) else 1)
A085424: 1 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1
loop(\(x,i).(x * 2),(x div 2),((if (x mod 2) <= 0 then (2 + 2) else 1) + 1))
A162396: 5 2 10 4 20 8 40 16 80 32 160 64 320 128 640 256
(if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * ((2 + 2) + 1)) else 1)
A040109: 10 1 20 1 20 1 20 1 20 1 20 1 20 1 20 1
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else (x div ((2 + 2) + 1))) else 1)
A219866-A156070: 1 1 1 1 0 1 1 1 1 1 1 1 2 1 1 1
loop(\(x,i).(i * x),((((if x <= 0 then 2 else x) + (x * 2)) * 2) + 1),1)
A126245: 120 5040 6227020800 121645100408832000 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 1)
A010170: 9 1 18 1 18 1 18 1 18 1 18 1 18 1 18 1
loop(\(x,i).(x * x),(x - 2),(((if x <= 0 then 0 else 2) * (2 + 1)) + 1))
A165425: 1 7 7 49 2401 5764801 33232930569601 4611686018427387903 4611686018427387903
(if (x mod ((2 + 2) + 1)) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1)
A010122: 3 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6
(if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (2 + 1)) else 1)
A040155: 12 1 24 1 24 1 24 1 24 1 24 1 24 1 24 1
(if ((if x <= 0 then 1 else x) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 1)
A111368: 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 5
(2 div (if x <= 0 then 2 else (if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else 1)))
A202146: 1 2 2 2 2 2 1 2 2 0 2 2 0 2 2 0
((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)
A325643-A272565-A214606-A135679-A079879-A020639: 1 2 3 2 5 2 7 2 3 2 11 2 13 2 3 2
(loop(\(x,i).((x div 2) * x),1,(loop(\(x,i).(x * x),x,2) + 1)) + 1)
A119571: 4 11 137 32897 2147516417 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) - 1),2,(loop(\(x,i).(x * x),x,2) + 1)) + 1)
A330831: 64 576 82944 4362338304 4611686018427387903
(loop(\(x,i).(i * x),loop(\(x,i).(((i * i) * i) + x),x,2),1) + 1)
A103319: 3 7 39916801 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),(2 + 2),loop(\(x,i).((x + 2) * 2),x,1)) + 1)
A305269: 25 145 385 865 1825 3745 7585 15265 30625 61345 122785 245665 491425 982945 1965985 3932065
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A020520: 1 13 241 4033 65281 1047553 16773121 268419073 4294901761 68719214593 1099510579201 17592181850113 281474959933441 4503599560261633 72057593769492481 1152921503533105153
((if (x - 1) <= 0 then (x + 2) else loop(\(x,i).((x * 2) * 2),x,1)) - 1)
A267596: 1 2 15 63 255 1023 4095 16383 65535 262143 1048575 4194303 16777215 67108863 268435455 1073741823
loop(\(x,i).((x - 1) * 2),x,(loop(\(x,i).((x * 2) * 2),x,1) - 1))
A302942: 0 4 54 490 4050 32674 261954 2096770 16776450 134216194 1073738754 8589928450 68719464450 549755789314 4398046461954 35184371990530
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A074514: 3 13 81 577 4353 33793 266241 2113537 16842753 134479873 1074790401 8594128897 68736253953 549822922753 4398314946561 35185445830657
(loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) + 1)
A281481: 2 4 11 37 137 529 2081 8257 32897 131329 524801 2098177 8390657 33558529 134225921 536887297
(loop(\(x,i).(((x + 2) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) + 1)
A343175: 2 5 13 41 145 545 2113 8321 33025 131585 525313 2099201 8392705 33562625 134234113 536903681
(loop(\(x,i).(((x * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + 1)
A074504: 3 11 69 521 4113 32801 262209 2097281 16777473 134218241 1073742849 8589936641 68719480833 549755822081 4398046527489 35184372121601
((loop(\(x,i).((x * x) * 2),x,1) - loop(\(x,i).(x * 2),x,1)) - 1)
A103743: ~1 ~1 3 119 32751 2147483615 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + 1)
A001550: 3 6 14 36 98 276 794 2316 6818 20196 60074 179196 535538 1602516 4799354 14381676
loop(\(x,i).((x * x) div (2 + 2)),1,(loop(\(x,i).(x * 2),x,1) + 1))
A063376: 1 2 6 20 72 272 1056 4160 16512 65792 262656 1049600 4196352 16781312 67117056 268451840
loop(\(x,i).(((x + 1) * x) div 2),1,(loop(\(x,i).(x * 2),x,1) + 1))
A028401: 3 6 15 45 153 561 2145 8385 33153 131841 525825 2100225 8394753 33566721 134242305 536920065
loop(\(x,i).(((x * x) * x) - 2),1,(loop(\(x,i).(x * 2),x,1) + 1))
A099359: 6 25 123 727 4911 35935 274623 2146687 16974591 135005695 1076890623 8602523647 68769820671 549957165055 4398851866623 35187593412607
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x * x) * 2),x,1)) + 1)
A119572: 3 7 73 16513 1073774593 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),((i * i) + 1),x) + 1),(x + 1),1)
A117068: 5 161 164865 21609185281 1450167876173430785 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),(((i * 2) * 2) - 1),x),(x + 1),1)
A294322: 6 30240 1207084032000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),1))
A092807: 1 2 8 40 224 1312 7808 46720 280064 1679872 10078208 60467200 362799104 2176786432 13060702208 78364180480
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((2 - x) * 2),(x - 1),1))
A123016: 1 1 4 0 32 ~64 384 ~1280 5632 ~21504 88064 ~348160 1400832 ~5586944 22380544 ~89456640
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),(x - 1),1))
A064686: 0 2 7 23 73 227 697 2123 6433 19427 58537 176123 529393 1590227 4774777 14332523
(if x <= 0 then (((2 + 2) + 1) * 2) else loop(\(x,i).(x * 2),(x - 1),1))
A090555: 10 1 2 4 8 16
loop(\(x,i).(loop(\(x,i).((2 - x) - (x * 2)),i,1) * x),(x - 1),1)
A247540: 1 1 ~1 ~5 65 2665 ~322465 ~117699725 128645799425 422086867913425 ~4153756867136015425 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(x div 2),2) + x),(x - 1),1)
A078590: 1 1 3 9 171 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) div 2),2,(x + 2)) * x),(x - 1),1)
A165429: 1 1 8 10000 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) - 1),i,2) * x),(x - 1),1)
A015502: 1 1 5 70 2870 350140 127801100 139814403400 458731057555400 4514831068460246800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) - 1) * 2),i,2) * x),(x - 1),1)
A015503: 1 1 6 132 11352 3882384 5303336544 28966824203328 632809241545903488 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * x),2,(i + 1)) * x) + x),(x - 1),1)
A256020: 1 1 17 1394 358258 224269508 290877551876 698687879606152 2862524242746404744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * 2) + 1) * x) * 2),i,x),(x - 1),1)
A086205: 1 1 6 360 302400 4572288000 1520925880320000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * 2) - 1) * x) * 2),i,x),(x - 1),1)
A054909: 1 1 2 24
A112332: 1 1 2 24 2880 4838400 146313216000 97339256340480000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * 2) * 2) + 1) * x),i,x),(x - 1),1)
A263430: 1 1 5 225 131625 1309010625 273380323978125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (loop(\(x,i).(x - (if x <= 0 then 1 else (i * i))),x,(x - 1)) - 1))
A291621: 2 3 4 8 9 10 11 20 21 22 23 24 25 26 27 28
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 1))
A050621: 2 12 104 1008 10016 100032 1000064 10000128 100000256 1000000512 10000001024 100000002048 1000000004096 10000000008192 100000000016384 1000000000032768
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A034513: 3 13 91 757 6643 59293 532171 4785157 43053283 387440173 3486843451 31381236757 282430067923 2541867422653 22876797237931 205891146443557
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) - 1)
A155607: 1 11 89 755 6641 59291 532169 4785155 43053281 387440171 3486843449 31381236755 282430067921 2541867422651 22876797237929 205891146443555
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A155614: 1 7 73 703 6481 58807 530713 4780783 43040161 387400807 3486725353 31380882463 282429005041 2541864234007 22876787671993 205891117745743
(loop(\(x,i).loop(\(x,i).((0 - x) * 2),(i mod (2 + 1)),x),x,1) + 1)
A157240: 2 ~1 ~7 ~7 17 65 65 ~127 ~511 ~511 1025 4097 4097 ~8191 ~32767 ~32767
(loop(\(x,i).(loop(\(x,i).(((x * x) + 1) * 2),x,1) - x),x,1) + 1)
A328313: 2 4 2312 4611686018427387903
(loop(\(x,i).((if (x - 2) <= 0 then x else ((x + 2) * x)) + x),x,1) + 1)
A110389: 2 3 5 29 869 756029 571580604869 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(i * x),(x * 2),1) - loop(\(x,i).(i * x),x,1)) + 1)
A237580: 1 2 23 715 40297 3628681 479000881 87178286161 20922789847681 6402373705365121 2432902008173011201 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 0 else 2) else 0) + 2) + 1)
A200811: 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3
loop(\(x,i).(x * 2),x,(if ((x - 1) mod (2 + 1)) <= 0 then (0 - 2) else 1))
A137717: 1 ~4 4 8 ~32 32 64 ~256 256 512 ~2048 2048 4096 ~16384 16384 32768
loop(\(x,i).((x * x) * x),((x - 2) * x),((if x <= 0 then 0 else 2) + 1))
A264932: 1 3 3 7625597484987
loop(\(x,i).((0 - x) * 2),x,((((if x <= 0 then 2 else 0) + 1) * 2) + 1))
A176414: 7 ~6 12 ~24 48 ~96 192 ~384 768 ~1536 3072 ~6144 12288 ~24576 49152 ~98304
(((loop(\(x,i).loop(\(x,i).((i + x) * 2),x,1),x,1) + 1) * 2) + 1)
A276511: 5 11 139 4611686018427387903
(if (if x <= 0 then 1 else (x mod ((x mod ((2 + 1) * 2)) + 1))) <= 0 then 2 else 1)
A228287: 1 1 1 1 1 1 2 1 1 1 2 1 2 1 1 1
(if x <= 0 then 0 else (if (x mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 2 else 1))
A329443: 0 1 1 1 1 1 2 1 1 1 2 1 2 1 1 1
(loop(\(x,i).(x * x),(x - 1),(((if x <= 0 then 1 else 2) + 1) * 2)) + 1)
A178428: 5 7 37 1297 1679617 2821109907457 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else (if (x mod ((x mod ((2 + 2) * 2)) + 1)) <= 0 then 2 else 1))
A324882-A257990-A214566: 0 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1
(if (x mod (2 + 1)) <= 0 then 0 else (if (x mod ((2 + 2) + 1)) <= 0 then 2 else 1))
A140080: 0 1 1 0 1 2 0 1 1 0 2 1 0 1 1 0
((if x <= 0 then 1 else loop(\(x,i).(x * x),(x - 1),((2 + 1) * 2))) + 1)
A182331: 2 7 37 1297
(1 - (if x <= 0 then 0 else loop(\(x,i).(i - 2),(x mod ((2 + 1) * 2)),1)))
A193690: 1 2 1 0 ~1 ~2 0 2 1 0 ~1 ~2 0 2 1 0
(if (x mod ((2 + 2) + 1)) <= 0 then 0 else (if (x mod (2 + 1)) <= 0 then 2 else 1))
A330714-A140082: 0 1 1 2 1 0 2 1 1 2 0 1 2 1 1 0
(loop(\(x,i).((if (i - 2) <= 0 then 2 else x) * x),((x * 2) - 1),2) + 1)
A261071: 3 5 65 16777217 4611686018427387903
loop(\(x,i).(i * x),x,((loop(\(x,i).((x + 2) * 2),x,1) div 2) + 1))
A052617: 1 4 18 114 936 9480 114480 1607760 25764480 464123520 9286099200 204334099200 4904497382400 127523158963200 3570735629260800 107123376552192000
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),((x + 1) div 2),1))
A233411: 0 0 2 4 12 24 56 112 240 480 992 1984 4032 8064 16256 32512
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),((x + 1) div 2),1))
A122746: 1 2 6 12 28 56 120 240 496 992 2016 4032 8128 16256 32640 65280
(loop(\(x,i).(x * 2),x,loop(\(x,i).((x + 1) * 2),(x - 1),2)) - 1)
A267816: 1 3 23 111 479 1983 8063 32511 130559 523263 2095103 8384511 33546239 134201343 536838143 2147418111
(if (x mod 2) <= 0 then ((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040055: 7 1 14 1 14 1 14 1 14 1 14 1 14 1 14 1
(if (x mod (2 + 2)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010130: 5 1 1 1 10 1 1 1 10 1 1 1 10 1 1 1
(if (x mod 2) <= 0 then ((((2 + 2) * 2) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040271: 16 1 32 1 32 1 32 1 32 1 32 1 32 1 32 1
(if (x mod (((x div 2) mod (2 + 2)) + 2)) <= 0 then (if x <= 0 then 1 else 2) else 1)
A117898: 1 1 1 2 2 1 1 1 2 1 1 1 2 1 1 2
(if (x mod (2 + 2)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1)
A010153: 8 1 1 1 16 1 1 1 16 1 1 1 16 1 1 1
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1) * 2) + 1)
A158894: 3 3 5 3 5 7 3 5 7 9 3 5 7 9 11 3
((loop(\(x,i).((if (i mod 2) <= 0 then (i - 1) else x) + x),x,1) div 2) + 1)
A147678: 1 2 2 4 5 10 12 24 27 54 58 116 121 242 248 496
(if x <= 0 then 0 else (if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then 2 else 1))
A276088: 0 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1
(((loop(\(x,i).loop(\(x,i).((x * x) - 1),x,2),x,1) + 2) * 2) + 1)
A057737: 7 11 131 4611686018427387903
loop(\(x,i).(x * x),(x - 2),((((if x <= 0 then 0 else 2) * 2) * 2) + 1))
A165427: 1 9 9 81 6561 43046721 1853020188851841 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(x - 1),(((if x <= 0 then 1 else 2) + 2) * 2)) + 1)
A178427: 7 9 65 4097 16777217 281474976710657 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((x * x) * 2),2,2) - 2)) + 1)
A196657: 127 253 505 1009 2017 4033 8065 16129 32257 64513 129025 258049 516097 1032193 2064385 4128769
(if ((x div (2 + 1)) - 2) <= 0 then (if x <= 0 then 1 else ((2 + 2) * 2)) else 1)
A269350: 1 8 8 8 8 8 8 8 8 1 1 1 1 1 1 1
(if (x - 1) <= 0 then x else (if (((x div 2) * x) mod (2 + 2)) <= 0 then 2 else 1))
A255326: 0 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1
(if ((if x <= 0 then 1 else x) mod ((2 + 2) * (2 + 1))) <= 0 then (2 + 2) else 1)
A196879: 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1
((if x <= 0 then 1 else loop(\(x,i).((x - 1) * x),(x - 1),(2 + 2))) + 1)
A275698: 2 5 13 133 17293 298995973 89398590973228813 4611686018427387903 4611686018427387903
(((if x <= 0 then 1 else 2) * (2 + 1)) * (if (x mod 2) <= 0 then (2 + 2) else 1))
A040135: 12 6 24 6 24 6 24 6 24 6 24 6 24 6 24 6
((((if x <= 0 then 0 else 2) + 2) * 2) * (if (x mod 2) <= 0 then (2 + 2) else 1))
A040243: 16 8 32 8 32 8 32 8 32 8 32 8 32 8 32 8
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * ((2 + 2) + 1))
A040093: 10 5 20 5 20 5 20 5 20 5 20 5 20 5 20 5
loop(\(x,i).(x * x),1,(loop(\(x,i).((0 - x) * 2),x,(2 + 2)) - 1))
A208556: 9 81 225 1089 3969 16641 65025 263169 1046529 4198401 16769025 67125249 268402689 1073807361 4294836225 17180131329
(loop(\(x,i).i,(x mod (2 + 2)),1) * loop(\(x,i).i,(x div (2 + 2)),1))
A338854: 1 1 2 3 1 1 2 3 2 2 4 6 3 3 6 9
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(x mod (2 + 2)),1))
A222011: 1 2 4 8
A018355: 1 2 4 8 31 62 124 248
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) mod (2 + 2)) + 1)
A138060: 1 1 2 1 2 3 1 2 3 4 1 2 3 4 1 1
loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) - 1))
A321003: 3 22 140 856 5168 31072 186560 1119616 6718208 40310272 241863680 1451186176 8707125248 52242767872 313456640000 1880739905536
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A222011: 1 2 4 8
A070349: 1 2 4 8 16 32 21 42 41 39 35 27 11 22 1 2
((if (x - 1) <= 0 then x else (loop(\(x,i).((x * 2) * 2),x,2) - 2)) + 1)
A267888: 1 2 31 127 511 2047 8191 32767 131071 524287 2097151 8388607 33554431 134217727 536870911 2147483647
loop(\(x,i).(i * x),x,(if (((2 + 2) + 1) mod (x + 2)) <= 0 then 2 else 1))
A052565: 1 1 2 12 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000
(if (2 - x) <= 0 then ((loop(\(x,i).(x * 2),x,1) div (x + 2)) * 2) else 1)
A286496: 1 1 2 2 4 8 16 28 50 92 170 314 584 1092 2048 3854
(loop(\(x,i).((x + 1) * x),(x - 2),x) * (if (x - 2) <= 0 then 2 else 1))
A030064: 0 2 4 12 420
(if x <= 0 then 0 else (if (x mod (((2 + 2) * 2) - (x div 2))) <= 0 then 2 else 1))
A005136: 0 1 1 1 1 1 1 1 2 1 1 1 2 1 2 2
(loop(\(x,i).(loop(\(x,i).(i * x),i,2) + x),(x + 2),0) div (2 + 1))
A309579: 2 6 22 102 582 3942 30822 272742 2691942 29303142 348637542 4499984742 62618845542 934401757542 14882928349542 252007880413542
(loop(\(x,i).((if (x mod 2) <= 0 then 1 else i) + x),(x - 2),0) mod (2 + 1))
A056558: 0 0 0 1 0 0 1 0 1 2 0 0 1 0 1 2
((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * (2 + 1))
A040077: 9 3 18 3 18 3 18 3 18 3 18 3 18 3 18 3
(loop(\(x,i).loop(\(x,i).(i * x),x,(i + 2)),(x - 1),1) + (2 + 1))
A261146: 4 4 6 27 4611686018427387903
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (2 + 1))
A040139: 12 3 24 3 24 3 24 3 24 3 24 3 24 3 24 3
loop(\(x,i).loop(\(x,i).((x * 2) + 1),x,2),(x mod (2 + 1)),(2 + 1))
A264929: 3 23 25165823
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) + 1)) div (2 + 1))
A192467: 1 3 12 45 176 693 2752 10965 43776 174933 699392 2796885 11186176 44741973 178962432 715838805
(loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - 1)) * (2 + 1))
A127509: 3 27 147 675 2883 11907 48387 195075 783363 3139587 12570627 50307075 201277443 805208067 3221028867 12884508675
((loop(\(x,i).loop(\(x,i).(x * 2),i,(x * 2)),x,2) + 1) div (2 + 1))
A083228: 1 3 21 341 10923 699051 89478485 22906492245 11728124029611 12009599006321323 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) div 2),1,(loop(\(x,i).(x * 2),x,1) div (2 + 1)))
A241683: 0 0 0 2 12 50 220 882 3612 14450 58140 232562 931612 3726450 14911260 59645042
loop(\(x,i).(x * 2),(x - 2),(loop(\(x,i).(x * 2),x,1) div (2 + 1)))
A320934: 0 0 1 4 20 80 336 1344 5440 21760 87296 349184 1397760 5591040 22368256 89473024
(if x <= 0 then 1 else loop(\(x,i).(((x * 2) * 2) * 2),(x - 1),(2 + 1)))
A103333: 1 3 24 192 1536 12288 98304 786432 6291456 50331648 402653184 3221225472 25769803776 206158430208 1649267441664 13194139533312
((loop(\(x,i).(if (x - 1) <= 0 then i else (x - 1)),x,0) * 2) * (2 + 1))
A262617: 0 6 12 6 24 18 12 6 48 42 36 30 24 18 12 6
loop(\(x,i).((x * 2) * 2),(x + 1),((if x <= 0 then 0 else 2) * (2 + 1)))
A292543: 0 96 384 1536 6144 24576 98304 393216 1572864 6291456 25165824 100663296 402653184 1610612736 6442450944 25769803776
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).((x * x) + 1),2,(2 + 1)))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036138: 1 2 4 8 16 32 64 27 54 7 14 28 56 11 22 44
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),x,(2 + 2)) div (2 + 1)))
A052600: 1 2 10 60 504 5040 61200 856800 13749120 247484160 4953312000 108972864000 2615827737600 68011521177600 1904409771264000 57132293137920000
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,2)) div (2 + 1))
A192466: 2 6 24 90 352 1386 5504 21930 87552 349866 1398784 5593770 22372352 89483946 357924864 1431677610
((if x <= 0 then 1 else loop(\(x,i).((x * x) * x),x,(x * 2))) * (2 + 1))
A297533: 3 24 786432
loop(\(x,i).(x * 2),((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),(2 + 1))
A112033: 12 3 24 6 48 12 96 24 192 48 384 96 768 192 1536 384
(loop(\(x,i).((if (i - 1) <= 0 then 2 else (x * x)) * x),x,2) * (2 + 1))
A181493: 6 12 192 786432
loop(\(x,i).(((if (x mod 2) <= 0 then 2 else x) div 2) * (x + 1)),x,(2 + 1))
A076601: 3 4 5 12 13 84 85 3612 3613 6526884 6526885 21300113901612 21300113901613 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,2) + loop(\(x,i).(x * 2),x,(2 + 1)))
A094125: 5 12 30 78 210 582 1650 4758 13890 40902 121170 360438 1075170 3213222 9615090 28796118
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,(2 + 1)))
A245804: ~1 0 6 30 114 390 1266 3990 12354 37830 115026 348150 1050594 3164070 9516786 28599510
loop(\(x,i).loop(\(x,i).((x * x) - 2),2,((x * x) + 2)),x,(2 + 1))
A195834: 3 14159 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),(x mod (2 + 1)),(if x <= 0 then 1 else (x div (2 + 1))))
A029293: 1 0 0 1 0 0 2 1 0 3 1 0 4 2 1 5
loop(\(x,i).(if x <= 0 then 1 else (((i * i) - 1) * x)),x,(x div (2 + 1)))
A030063: 0 1 3 8 120
loop(\(x,i).(((if (i mod 2) <= 0 then (2 + 2) else 1) + 1) * x),x,(2 + 1))
A125521: 3 6 30 60 300 600 3000 6000 30000 60000 300000 600000 3000000 6000000 30000000 60000000
(1 - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * (2 + 1)))
A143971: 1 4 1 7 4 1 10 7 4 1 13 10 7 4 1 16
loop(\(x,i).((2 + 1) * x),(x div 2),loop(\(x,i).(2 - x),x,(2 + 1)))
A162852: 3 ~1 9 ~3 27 ~9 81 ~27 243 ~81 729 ~243 2187 ~729 6561 ~2187
((((if ((if x <= 0 then 1 else x) mod 2) <= 0 then (x * 2) else 1) + x) * 2) - 1)
A153285: 1 3 11 7 23 11 35 15 47 19 59 23 71 27 83 31
(loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),x,1) - x) * 2)) - 1)
A186942: 1 3 15 79 383 1727 7423 30975 126975 515071 2076671 8343551 33456127 134004735 536412159 2146500607
loop(\(x,i).(i * x),x,loop(\(x,i).(i * x),(((x + 1) * x) div 2),1))
A127233: 1 1 12 4320 87091200 156920924160000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1) + x) * 2) + 1)
A080565: 3 7 13 15 25 27 29 31 49 51 53 55 57 59 61 63
(loop(\(x,i).((x - (if (i mod (2 + 2)) <= 0 then 2 else 0)) * 2),x,2) - 1)
A139806: 1 3 7 15 27 55 111 223 443 887 1775 3551 7099 14199 28399 56799
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((x + 2) + 1) * 2),x,2)) - 1)
A195460: 1 19 103 463 1951 7999 32383 130303 522751 2094079 8382463 33542143 134193151 536821759 2147385343 8589737983
(loop(\(x,i).(x div 2),(x - 2),loop(\(x,i).((x + 1) * 2),x,2)) - 1)
A134202: 1 5 13 14 14 14 14 14 14 14 14 14 14 14 14 14
(if x <= 0 then 0 else (((loop(\(x,i).((x * x) + 2),2,2) * x) * 2) + 1))
A004964: 0 77 153 229 305 381 457 533 609 685 761 837 913 989 1065 1141
(if ((x - 1) mod (2 + 1)) <= 0 then loop(\(x,i).((x * 2) * 2),x,2) else 1)
A254460: 1 8 1 1 512 1 1 32768 1 1 2097152 1 1 134217728 1 1
(loop(\(x,i).((x * x) * 2),2,loop(\(x,i).((x * 2) * 2),x,2)) - 1)
A175825: 127 32767 8388607 2147483647 549755813887 140737488355327 36028797018963967 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) div 2),1,(loop(\(x,i).((x * 2) * 2),x,2) + 1))
A075878: 4 40 544 8320 131584 2099200 33562624 536903680 8590065664 137439477760 2199025352704 35184380477440
loop(\(x,i).(x * 2),(x * x),(loop(\(x,i).((x * 2) * 2),x,2) - 1))
A190999: 1 14 496 65024 33488896 68685922304 562881233944576 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x - 1) * x) + 2),x,2)) + 1)
A096407: 5 17 197 33857 1133938277 1285739650972396817 4611686018427387903
loop(\(x,i).((0 - x) * 2),x,(loop(\(x,i).(1 - (x * 2)),x,2) - 1))
A246030: 1 8 24 112 416 1728 6784 27392 109056 437248 1746944 6991872 27959296 111853568 447381504 1789591552
((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),x,2)) + 1)
A028243: 0 0 2 12 50 180 602 1932 6050 18660 57002 173052 523250 1577940 4750202 14283372
((loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,2)) + 1)
A002783: 1 3 11 39 131 423 1331 4119 12611 38343 116051 350199 1054691 3172263 9533171 28632279
loop(\(x,i).(((x * 2) - 1) * x),1,(loop(\(x,i).(x * 2),x,2) + 1))
A127069: 15 45 153 561 2145 8385 33153 131841 525825 2100225 8394753 33566721 134242305 536920065 2147581953 8590131201
loop(\(x,i).((2 + 1) * x),(x * 2),(loop(\(x,i).(x * 2),x,2) - 1))
A076008: 1 27 567 10935 203391 3720087 67493007 1219657095 21996874431 396331160247 7137447668847 128505439098855 2313380333315871 41643387865514007 749603858371707087 4611686018427387903
loop(\(x,i).((x * 2) * (2 + 1)),x,(loop(\(x,i).(x * 2),x,2) - 1))
A016175: 1 18 252 3240 40176 489888 5925312 71383680 858283776 10309483008 123774262272 1485653944320 17830024114176 213973350064128 2567758564933632 30813572964188160
loop(\(x,i).(((x * 2) * 2) * 2),x,(loop(\(x,i).(x * 2),x,2) - 1))
A060195: 1 24 448 7680 126976 2064384 33292288 534773760 8573157376 137304735744 2197949513728 35175782154240 562881233944576 9006649498927104 144110790029344768 2305807824841605120
loop(\(x,i).(((2 + 2) + 1) * x),x,(loop(\(x,i).(x * 2),x,2) - 1))
A016164: 1 15 175 1875 19375 196875 1984375 19921875 199609375 1998046875 19990234375 199951171875 1999755859375 19998779296875 199993896484375 1999969482421875
(loop(\(x,i).loop(\(x,i).((x * x) * x),1,((x * x) * 2)),x,2) - 1)
A139303: 1 511 144115188075855871
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2) - 1)
A134760: 1 3 11 39 139 503 1847 6863 25739 97239 369511 1410863 5408311 20801199 80233199 310235039
(if x <= 0 then 0 else (if (((2 + 2) + 1) mod (x + 1)) <= 0 then (x + 2) else 1))
A143532: 0 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1
loop(\(x,i).(x * 2),x,(if (2 - (x div (2 + 2))) <= 0 then (x * 2) else 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A079845: 1 2 4 8 16 32 64 128 4096
loop(\(x,i).((if (i - 2) <= 0 then 2 else x) + ((x * 2) * 2)),(x * 2),1)
A170745-A170707-A170659-A170611-A170563-A170515-A170467-A170419-A170371-A170323-A170275-A170227-A170179-A170131-A170083-A170035-A169567-A169519-A169471-A169423-A169375-A169327-A169279-A169231-A169183-A169135-A169087-A169039-A168991-A168943-A168895-A168847-A168799-A168751-A168703-A167941-A167697-A167225: 1 26 650 16250 406250 10156250 253906250 6347656250 158691406250 3967285156250 99182128906250 2479553222656250 61988830566406250 1549720764160156250 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),(x * 2),1)
A001448: 1 6 70 924 12870 184756 2704156 40116600 601080390 9075135300 137846528820 2104098963720 32247603683100 495918532948104 7648690600760440 118264581564861424
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 2) * x) * 2),(x * 2),1)
A067488: 1 16 128 1024 16384 131072 1048576 16777216 134217728 1073741824 17179869184 137438953472 1099511627776 17592186044416 140737488355328 1125899906842624
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) - (x * 2)),(x * 2),1)
A096951: 1 7 55 463 4039 35839 320503 2876335 25854247 232557151 2092490071 18830313487 169464432775 1525146340543 13726182847159 123535108753519
loop(\(x,i).((if (i - 2) <= 0 then 1 else (x * 2)) + (x * 2)),(x * 2),1)
A067404: 1 7 112 1792 28672 458752 7340032 117440512 1879048192 30064771072 481036337152 7696581394432 123145302310912 1970324836974592 31525197391593472 504403158265495552
loop(\(x,i).loop(\(x,i).((i * i) - (x * 2)),x,0),1,((x * 2) + 1))
A239367: 1 5 13 29 69 197 669 2509 9813 38965 155501 621565 2485733 9942309 39768509 159073197
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((x * 2) + 1))
A016764: 1 531441 244140625 13841287201 282429536481 3138428376721 23298085122481 129746337890625 582622237229761 2213314919066161 7355827511386641 21914624432020321 59604644775390625 150094635296999121 353814783205469041 787662783788549761
(if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then x else ((x * 2) + 1))
A325829: 0 1 2 3 4 5 6 7 17 9 10 11 12 13 14 15
((if (x - 2) <= 0 then ((if x <= 0 then 1 else 2) + 2) else x) + ((x * 2) + 1))
A234429: 4 7 9 10 13 16 19 22 25 28 31 34 37 40 43 46
(x mod loop(\(x,i).(if (x mod (i + 1)) <= 0 then 2 else x),x,((x * 2) + 1)))
A307865: 0 1 2 3 0 5 6 1 8 9 0 11 0 1 14 15
(loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 2)),x,x) + ((x * 2) + 1))
A213183: 1 1 2 3 2 3 4 5 3 4 5 6 7 4 5 6
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 2)),x,x) + ((x * 2) + 1))
A134483: 1 3 4 5 6 7 7 8 9 10 9 10 11 12 13 11
(if x <= 0 then 1 else (loop(\(x,i).((i * i) * x),x,2) * ((x * 2) - 1)))
A344057: 1 2 24 360 8064 259200 11404800 660441600 48771072000 4477184409600 500391198720000 66920738734080000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 2)),x,loop(\(x,i).((2 + 1) * x),(x * 2),1))
A094981: 1 2 5 11 25 57 129 291 656 1477 3325 7481 16834 37876 85222 191751
loop(\(x,i).(((if (x - (2 + 2)) <= 0 then 1 else 2) + 2) * x),(x * 2),1)
A067415: 1 9 144 2304 36864 589824 9437184 150994944 2415919104 38654705664 618475290624 9895604649984 158329674399744 2533274790395904 40532396646334464 648518346341351424
loop(\(x,i).((((if (i - 2) <= 0 then 1 else x) + x) * 2) + x),(x * 2),1)
A196676: 1 17 425 10625 265625 6640625 166015625 4150390625 103759765625 2593994140625 64849853515625 1621246337890625 40531158447265625 1013278961181640625 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((x - 1) * 2),(x div 2),1))
A056309: 0 1 4 8 18 34 70 134 270 526 1054 2078 4158 8254 16510 32894
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),(x div 2),1)
A128057: 1 1 ~2 ~2 6 6 ~20 ~20 70 70 ~252 ~252 924 924 ~3432 ~3432
((if (x mod 2) <= 0 then ((if x <= 0 then 1 else x) + (x * 2)) else (x div 2)) + 1)
A160413: 2 1 7 2 13 3 19 4 25 5 31 6 37 7 43 8
(loop(\(x,i).loop(\(x,i).((x * 2) + 1),x,0),(x mod 2),(x div 2)) + 1)
A242971: 1 1 2 2 3 4 4 8 5 16 6 32 7 64 8 128
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),1)
A128014: 1 1 2 2 6 6 20 20 70 70 252 252 924 924 3432 3432
loop(\(x,i).(((if (i mod 2) <= 0 then 1 else i) * i) + x),x,((x div 2) + 1))
A228958: 1 2 5 14 19 44 51 100 109 190 201 322 335 504 519 744
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((2 + 1) * x),(x div 2),1))
A167936: 0 1 1 5 7 23 37 101 175 431 781 1805 3367 7463 14197 30581
loop(\(x,i).(x * x),(x mod 2),loop(\(x,i).((x + 1) * x),(x div 2),1))
A269265: 1 1 2 4 6 36 42 1764 1806 3261636 3263442 10650053687364 10650056950806 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),(x div 2),1)
A189976: 1 1 5 5 15 15 35 35 70 70 126 126 210 210 330 330
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(i * x),(x div 2),1))
A095987: 1 1 1 1 1 1 3 3 3 3 15 15 45 45 315 315
(loop(\(x,i).(i * x),x,1) div loop(\(x,i).((i * i) * x),(x div 2),1))
A056040: 1 1 2 6 6 30 20 140 70 630 252 2772 924 12012 3432 51480
loop(\(x,i).(i * x),x,((loop(\(x,i).(x * 2),x,1) - (x mod 2)) + 1))
A052647: 2 2 10 48 408 3840 46800 645120 10362240 185794560 3719520000 81749606400 1962469555200 51011754393600 1428416301312000 42849873690624000
loop(\(x,i).(x * 2),(x div 2),(((if x <= 0 then 0 else 2) - (x mod 2)) + 1))
A072946: 1 2 6 4 12 8 24 16 48 32 96 64 192 128 384 256
((loop(\(x,i).loop(\(x,i).((x + 2) mod (i + 1)),x,0),x,x) div 2) + 1)
A048896: 1 1 2 1 2 2 4 1 2 2 4 2 4 4 8 1
(loop(\(x,i).((x div (if (x mod (i + 2)) <= 0 then 2 else 1)) + x),x,2) + 1)
A154700: 3 5 7 13 19 37 73 109
loop(\(x,i).((x div 2) * x),1,(loop(\(x,i).((2 + 1) * x),x,2) - 1))
A240917: 0 10 136 1378 12880 117370 1060696 9559378 86073760 774781930 6973391656 62761587778 564857478640 5083726873690 45753570561016 411782221142578
loop(\(x,i).(x * 2),(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2),1)
A082392: 1 1 2 1 4 2 8 1 16 4 32 2 64 8 128 1
((loop(\(x,i).(x - ((if (i - x) <= 0 then i else 0) div 2)),x,x) * 2) + 1)
A261046: 1 3 3 5 5 7 5 7 9 7 9 11 7 9 11 13
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + x) * 2) + 1)
A131421: 1 3 5 5 7 9 7 9 11 13 9 11 13 15 17 11
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x * x) * x),x,2)) + 1)
A051154: 7 73 262657 18014398643699713 4611686018427387903
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * x) * x),x,2)) + 1)
A198915: 3 57 261633 18014398375264257 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,(loop(\(x,i).((x * x) * x),x,2) + 1))
A066807: 3 3 57 4971027 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - (if (x mod ((i + 1) * 2)) <= 0 then 1 else 0)),x,1)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A133024: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128
loop(\(x,i).(((x * 2) * 2) - loop(\(x,i).((1 - x) * 2),i,0)),x,1)
A108924: 1 2 10 34 146 562 2290 9074 36466 145522 582770 2329714 9321586 37280882 149134450 596515954
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) * (2 + 1)) + 1),x,1))
A016136: 1 14 172 2072 24880 298592 3583168 42998144 515977984 6191736320 74300836864 891610044416 10699320537088 128391846453248 1540702157455360 18488425889497088
loop(\(x,i).loop(\(x,i).(x * 2),(((i + x) * x) div (x + 1)),1),x,1)
A114642: 1 2 4 32 17179869184
loop(\(x,i).((i * x) - loop(\(x,i).((0 - x) * 2),(i - 1),1)),x,1)
A062282: 1 0 2 2 16 64 416 2848 22912 205952 2060032 22659328 271913984 3534877696 49488295936 742324422656
loop(\(x,i).(x * 2),loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),x),1)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A329562: 1 2 4 8 16 32 64 128 256 512 2 4 8 16 32 64
loop(\(x,i).(x * 2),x,loop(\(x,i).((((x + 2) * 2) * 2) + 1),x,1))
A020537: 1 26 244 2024 16336 130976 1048384 8388224 67108096 536869376 4294964224 34359732224 274877894656 2199023230976 17592185995264 140737488257024
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A166984: 1 20 336 5440 87296 1397760 22368256 357908480 5726601216 91625881600 1466015154176 23456246661120 375299963355136 6004799480791040 96076791961092096 1537228672451215360
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A016147: 1 15 189 2295 27621 331695 3981069 47775015 573306741 6879700575 82556465949 990677768535 11888133753861 142657606640655 1711891284470829 20542695427998855
loop(\(x,i).(x * 2),(x * x),loop(\(x,i).(((x * 2) * 2) - 1),x,1))
A165928: 1 6 176 22016 11206656 22917677056 187672890966016 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),(x - 1),(((x mod 2) * 2) + 1)),x,1)
A019437: 1 3 6 120 4611686018427387903
loop(\(x,i).((x - loop(\(x,i).(1 - (x * 2)),i,0)) * (2 + 1)),x,1)
A091000: 1 0 3 0 15 12 99 168 759 1764 6315 16896 54783 156156 484851 1421784
loop(\(x,i).((x - (if (i mod 2) <= 0 then 2 else (0 - 2))) * (2 + 1)),x,1)
A137340: 1 9 21 69 201 609 1821 5469 16401 49209 147621 442869 1328601 3985809 11957421 35872269
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).((x - 2) * (2 + 1)),x,1))
A134350: 1 7 23 67 191 547 1583 4627 13631 40387 120143 358387 1071071 3205027
loop(\(x,i).((loop(\(x,i).((x + 1) * x),2,2) + x) * (2 + 1)),x,1)
A036548: 1 129 513 1665 5121 15489 46593 139905 419841 1259649 3779073 11337345 34012161 102036609 306109953 918329985
loop(\(x,i).(((if (i mod (2 + 2)) <= 0 then x else 1) + (x * 2)) - 1),x,1)
A222011: 1 2 4 8
A018323: 1 2 4 8 23 46 92 184
loop(\(x,i).(x * 2),x,loop(\(x,i).(i * x),(((x * 2) + 1) * x),1))
A165970: 1 12 14515200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i - 2) <= 0 then 1 else x) + x) + ((x * 2) + 1)),x,1)
A272743: 1 5 17 69 277 1109 4437 17749 70997 283989 1135957 4543829 18175317 72701269 290805077 1163220309
loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) * ((i * 2) + 1)),x,1)
A128195: 1 9 65 511 4743 52525 683657 10256775 174369527 3313030741 69573667065 1600194389599 40004859842375 1080131215965309 31323805263469097
loop(\(x,i).(((loop(\(x,i).(x * x),(i - 1),2) + 1) * x) + 1),x,1)
A048164: 1 4 21 358 92007 6029862760 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1))
A016134: 1 12 124 1248 12496 124992 1249984 12499968 124999936 1249999872 12499999744 124999999488 1249999998976 12499999997952 124999999995904 1249999999991808
loop(\(x,i).(x * 2),x,loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,1))
A083234: 1 8 76 752 7504 75008 750016 7500032 75000064 750000128 7500000256 75000000512 750000001024 7500000002048 75000000004096 750000000008192
loop(\(x,i).((x * x) * 2),1,loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A060868: 2 32 338 3200 29282 264992 2389298 21516800 193690562 1743333152 15690352658 141214236800 1270931319842 11438391444512 102945551698418 926510051379200
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A016159: 1 16 208 2560 30976 372736 4476928 53739520 644939776 7739539456 92875522048 1114510458880 13374142283776 160489774514176 1925877562605568 23110531825008640
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((2 + 1) * x) - 1),x,1))
A233123: 1 8 80 896 10496 124928 1495040 17924096 215023616 2580021248 30959206400 371506282496 4458058612736 53496636243968 641959366492160 7703511324164096
loop(\(x,i).((loop(\(x,i).(((i + 1) * x) + 1),i,1) * x) + 1),x,1)
A059730: 1 4 41 1682 346493 428611842 3711778551721 257155729841782602 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + 1) * x),x,loop(\(x,i).(((i + 1) * x) + 1),x,1))
A061573: 1 6 60 984 24720 890640 43646400 2793409920 226266566400 22626660268800 2737825932441600 394246934750592000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((i + x) * (x + 1)),2,2) * x) + 1),x,1)
A172175: 1 111 12211 1343211 147753211 16252853211 1787813853211 196659523853211 21632547623853211 2379580238623853211 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,x) + 1),x,1)
A094028: 1 101 10101 1010101 101010101 10101010101 1010101010101 101010101010101 10101010101010101 1010101010101010101 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(((x * x) + 1) * x),2,2) * x) + 1),x,1)
A178349: 1 1011 1021111 1031322111 1041635332111 1052051685432111 1062572202286432111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) div (x + 1)),loop(\(x,i).(x * 2),x,1),x) + 1)
A136417: 2 2 3 3 5 6 9 12 17 23 33 46 65 91 129 182
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),(i + 2),x) + 1),x,1)
A178189: 1 126 78751 246096876 3845263687501 300411225586015626 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x + 2) * x),(i - 1),1) * (x + 1)),x,1)
A133468: 1 2 9 150 38505 2523490710 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + 1) * i) + (x + 1)),x,1)
A078501: 1 7 26 78 211 537 1312 3112 7217 16443 36934 82002 180319 393325 852092 1835148
loop(\(x,i).(if (x - 2) <= 0 then (((x * 2) * 2) * 2) else (x - 1)),x,1)
A132672: 1 8 7 6 5 4 3 2 16 15 14 13 12 11 10 9
loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),i,((i + x) + 1)),x,1)
A208884: 1 3 3 7 3 9 1 9 9 19 15 27 5 19 17 33
loop(\(x,i).(((2 + 2) + 1) * x),x,loop(\(x,i).((i * x) + 1),x,1))
A097816: 1 10 125 2000 40625 1018750 30578125 1070312500 42812890625 1926582031250 96329111328125 5298101171875000 317886070556640625 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),x,(x * x)) div loop(\(x,i).((i * x) + 1),x,1))
A032635: 0 0 1 3 5 9 13 18 23 29 36 44 52 62 72 82
loop(\(x,i).(((i * x) * (2 + 1)) + loop(\(x,i).(x * 2),i,1)),x,1)
A097817: 1 5 34 314 3784 56792 1022320 21468848 515252608 13911820928 417354628864 13772702754560 495817299168256 19336874667570176 812148736037963776 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),x,1)
A016127: 1 7 39 203 1031 5187 25999 130123 650871 3254867 16275359 81378843 406898311 2034499747 10172515119 50862608363
loop(\(x,i).((((2 + 2) + 1) * x) - loop(\(x,i).(x * 2),i,1)),x,1)
A247313: 1 3 11 47 219 1063 5251 26127 130379 651383 3255891 16277407 81382939 406906503 2034516131 10172547887
loop(\(x,i).((((i * 2) - 1) * x) + loop(\(x,i).(x * 2),i,1)),x,1)
A318165: 1 3 13
A128196: 1 3 13 73 527 4775 52589 683785 10257031 174370039 3313031765 69573669113 1600194393695 40004859850567 1080131215981693
loop(\(x,i).(x div 2),x,loop(\(x,i).(((x * 2) + 1) * (i + 1)),x,1))
A030799: 1 3 9 39 197 1187 8309 66476 598287 5982879 65811677 789740126 10266621646 143732703044 2155990545670 34495848730735
loop(\(x,i).loop(\(x,i).((x * 2) * 2),i,((x * 2) * (i + 1))),x,1)
A071900: 1 16 1536 786432 2013265920
loop(\(x,i).(x - ((i - x) - loop(\(x,i).((2 + 1) * x),i,1))),x,1)
A090326: 1 4 15 54 185 608 1939 6058 18669 57012 173063 523262 1577953 4750216 14283387 42915666
(loop(\(x,i).(x * x),1,((if ((x div 2) - 2) <= 0 then 1 else 2) + x)) + 1)
A069987: 2 5 10 17 26 37 65 82 101 122 145 170 197 226 257 290
loop(\(x,i).(x * x),1,(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + 1))
A179126: 4 9 16 25 36 49 81 100 121 144 169 196 225 256 289 324
loop(\(x,i).(((if x <= 0 then 1 else x) - ((i * x) mod (2 + 1))) * 2),x,1)
A087009: 1 0 2 4 6 12 24 48 96 192 384 768 1536 3072 6144 12288
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((x + 1) * 2),x,1))
A169720: 1 10 55 253 1081 4465 18145 73153 293761 1177345 4713985 18865153 75479041 301953025 1207885825 4831690753
loop(\(x,i).(((if x <= 0 then 1 else (x - (x mod (2 + 1)))) * 2) * 2),x,1)
A092898: 1 0 4 12 48 192 768 3072 12288 49152 196608 786432 3145728 12582912 50331648 201326592
(if (x mod 2) <= 0 then (if ((x - 2) mod ((2 + 2) * 2)) <= 0 then 2 else x) else 1)
A342242: 0 1 2 1 4 1 6 1 8 1 2 1 12 1 14 1
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A094976: 1 2 7 18 50 134 359 958 2557 6818 18183 48490 129307 344820 919522 2452059
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + ((x * 2) * 2)) * 2),x,1)
A004985: 1 10 90 780 6630 55692 464100 3845400 31724550 260846300 2138939660 17500415400 142920059100 1165348174200 9489263704200 77179344794160
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2) * 2),x,1)
A115902: 1 12 120 1120 10080 88704 768768 6589440 56010240 472975360 3972993024 33228668928 276905574400 2300446310400 19060840857600 157569617756160
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2) * 2),x,1)
A343842: 1 ~4 24 ~160 1120 ~8064 59136 ~439296 3294720 ~24893440 189190144 ~1444724736 11076222976 ~85201715200 657270374400 ~5082890895360
loop(\(x,i).(((x - (x div (if i <= 0 then 1 else (i * 2)))) * 2) * 2),x,1)
A100320: 1 4 12 40 140 504 1848 6864 25740 97240 369512 1410864 5408312 20801200 80233200 310235040
(((if x <= 0 then 1 else 2) + 2) mod ((if (x mod 2) <= 0 then (2 + 2) else x) + 1))
A297217: 3 0 4 0 4 4 4 4 4 4 4 4 4 4 4 4
loop(\(x,i).(0 - x),x,loop(\(x,i).(x - ((2 - x) * (2 + 2))),x,1))
A081628: 1 3 ~23 123 ~623 3123 ~15623 78123 ~390623 1953123 ~9765623 48828123 ~244140623 1220703123 ~6103515623 30517578123
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)),x,1)
A059304: 1 4 24 160 1120 8064 59136 439296 3294720 24893440 189190144 1444724736 11076222976 85201715200 657270374400 5082890895360
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else 0) + ((x * 2) * 2)),x,1)
A033140: 1 4 16 65 260 1040 4161 16644 66576 266305 1065220 4260880 17043521 68174084 272696336 1090785345
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then 1 else 0) + ((x * 2) * 2)),x,1)
A083589: 1 4 16 64 257 1028 4112 16448 65793 263172 1052688 4210752 16843009 67372036 269488144 1077952576
loop(\(x,i).((0 - x) * 2),x,loop(\(x,i).(1 - ((x * 2) * 2)),x,1))
A083301: 1 6 52 408 3280 26208 209728 1677696 13421824 107374080 858993664 6871947264 54975582208 439804649472 3518437212160 28147497664512
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else 2) + ((x * 2) * 2)),x,1)
A037545: 1 6 26 105 422 1690 6761 27046 108186 432745 1730982 6923930 27695721 110782886 443131546 1772526185
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((x * 2) * 2),x,1))
A026244: 1 10 136 2080 32896 524800 8390656 134225920 2147516416 34359869440 549756338176 8796095119360 140737496743936 2251799847239680 36028797153181696 576460752840294400
loop(\(x,i).(((x - 1) * x) div 2),1,loop(\(x,i).((x * 2) * 2),x,1))
A026337: 0 6 120 2016 32640 523776 8386560 134209536 2147450880 34359607296 549755289600 8796090925056 140737479966720 2251799780130816 36028796884746240 576460751766552576
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).((x * 2) * 2),x,1))
A079598: 1 28 496 8128 130816 2096128 33550336 536854528 8589869056 137438691328 2199022206976 35184367894528 562949936644096 9007199187632128 144115187807420416 2305843008139952128
(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1))
A074605: 2 7 25 91 337 1267 4825 18571 72097 281827 1107625 4371451 17308657 68703187 273218425 1088090731
loop(\(x,i).((x + 1) div (2 + 1)),x,loop(\(x,i).((x * 2) * 2),x,1))
A309212: 1 1 2 2 3 4 6 7 10 13 18 24 32 42 56 75
loop(\(x,i).((x + 2) div (2 + 1)),x,loop(\(x,i).((x * 2) * 2),x,1))
A130082: 1 2 2 3 4 5 6 8 10 14 18 24 32 43 57 75
loop(\(x,i).((2 + 1) * x),(x * x),loop(\(x,i).((x * 2) * 2),x,1))
A133461: 1 12 1296 1259712 11019960576 867623536069632 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(if (2 - x) <= 0 then (((x mod 2) * 2) + x) else 1))
A152458: 1 2 8 40 64
loop(\(x,i).(x * x),1,loop(\(x,i).((x - ((i * x) * 2)) * 2),x,1))
A122747: 1 4 144 14400 2822400 914457600 442597478400 299195895398400 269276305858560000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) div (if i <= 0 then 1 else i)) * ((i + 2) + 2)),x,1)
A003472: 1 10 60 280 1120 4032 13440 42240 126720 366080 1025024 2795520 7454720 19496960 50135040 127008768
loop(\(x,i).(((loop(\(x,i).(i * x),i,1) + x) * (i + 2)) div 2),x,1)
A188545: 1 3 10
A136128: 1 3 10 40 192 1092 7248 55296 478080 4625280 49524480 581368320 7422589440 102372076800 1516402944000 24004657152000
(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 1) + x),x,(2 - x)) - 1)
A059964: 1 1 2 2 3 2 3 2 3 4 5 2 3 2 3 4
loop(\(x,i).(x - (((if (i mod (2 + 1)) <= 0 then 2 else 0) - x) * 2)),x,1)
A018334: 1 3 9 23 69 207
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((0 - x) * 2),x,1))
A003665: 1 1 10 28 136 496 2080 8128 32896 130816 524800 2096128 8390656 33550336 134225920 536854528
loop(\(x,i).(((x - 1) * x) div 2),1,loop(\(x,i).((0 - x) * 2),x,1))
A003674: 0 3 6 36 120 528 2016 8256 32640 131328 523776 2098176 8386560 33558528 134209536 536887296
loop(\(x,i).((x div (2 + 1)) * x),1,loop(\(x,i).((0 - x) * 2),x,1))
A192382: 0 2 4 24 80 352 1344 5504 21760 87552 349184 1398784 5591040 22372352 89473024 357924864
(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).((0 - x) * 2),x,1))
A087451: 2 1 13 19 97 211 793 2059 6817 19171 60073 175099 535537 1586131 4799353 14316139
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i - 1),1) - x) * 2),x,1)
A102901: 1 0 6 6 42 78 330 798 2778 7566 24234 69630 215034 632814 1923018 5719902
loop(\(x,i).(loop(\(x,i).((0 - x) * 2),(i mod (2 + 1)),x) * 2),x,1)
A138340: 1 ~4 ~32 ~64 256 2048 4096 ~16384 ~131072 ~262144 1048576 8388608 16777216 ~67108864 ~536870912 ~1073741824
(loop(\(x,i).((0 - i) * x),x,1) * loop(\(x,i).((1 - x) * 2),x,1))
A052598: 1 0 4 12 144 1200 15840 211680 3467520 61689600 1241049600 27223257600 654316185600 16999766784000 476167826534400 14282419447296000
loop(\(x,i).((x * 2) * (0 - 2)),x,loop(\(x,i).((1 - x) * 2),x,1))
A091905: 1 0 32 128 1536 10240 90112 688128 5636096 44564480 358612992 2860515328 22917677056 183207198720 1466194460672 11727408201728
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) * (2 + 2)) - x) * 2),x,1)
A175375: 1 6 12 8 0 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).(x - ((2 - x) * 2)),x,1))
A241038: 0 1 28 325 3160 29161 264628 2388205 21513520 193680721 1743303628 15690264085 141213971080 1270930522681 11438389053028 102945544523965
(if x <= 0 then 1 else (((2 + 2) * (2 + 1)) - (if (x - 2) <= 0 then x else 1)))
A217789: 1 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11
(loop(\(x,i).(loop(\(x,i).((x + 1) * x),2,x) * x),(x - 2),x) + 1)
A128874: 1 2 3 469
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then (x div 2) else 0) + (x * 2)),x,1)
A004647: 1 2 4 10 20 40 100 200 400 1000 2000 4000 10000 20000 40000 100000
loop(\(x,i).((if (x mod ((i + 2) + 1)) <= 0 then i else 0) + (x * 2)),x,1)
A222011: 1 2 4 8
A018536: 1 2 4 8 16 37 74 148 296 592
loop(\(x,i).((x div ((if (i mod 2) <= 0 then 2 else 0) + 1)) + (x * 2)),x,1)
A018303: 1 3 7 21 49 147
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),1) - (x * 2)),x,1)
A232015: 1 ~1 5 ~1 29 23 197 335 1517 3527 12629 33791 109565 312311 969701 2843567
loop(\(x,i).(loop(\(x,i).(x * 2),((i + 1) div 2),1) + (x * 2)),x,1)
A107659: 1 4 10 24 52 112 232 480 976 1984 4000 8064 16192 32512 65152 130560
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),x,1)
A016133: 1 11 103 935 8431 75911 683263 6149495 55345711 498111911 4483008223 40347076055 363123688591 3268113205511 29413018865983 264717169826615
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).(1 - (x * 2)),x,1))
A015249: 1 3 15 55 231 903 3655 14535 58311 232903 932295 3727815 14913991 59650503 238612935 954429895
loop(\(x,i).((((if x <= 0 then 1 else x) * 2) div (i + 1)) - (x * 2)),x,1)
A126930: 1 ~1 2 ~3 6 ~10 20 ~35 70 ~126 252 ~462 924 ~1716 3432 ~6435
loop(\(x,i).loop(\(x,i).((x * 2) * (2 + 1)),(i - 1),(x * 2)),x,1)
A081955: 1 2 24 1728 746496 1934917632 30091839012864 2807929681968365568 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) + 1) * (x + 1)),1,loop(\(x,i).(x * 2),x,1))
A034496: 4 15 85 585 4369 33825 266305 2113665 16843009 134480385 1074791425 8594130945 68736258049 549822930945 4398314962945 35185445863425
loop(\(x,i).(((x * x) * (x + 1)) div 2),1,loop(\(x,i).(x * 2),x,1))
A081337: 1 6 40 288 2176 16896 133120 1056768 8421376 67239936 537395200 4297064448 34368126976 274911461376 2199157473280 17592722915328
loop(\(x,i).((((x + 2) + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1))
A257273: 2 5 14 44 152 560 2144 8384 33152 131840 525824 2100224 8394752 33566720 134242304 536920064
loop(\(x,i).((((x * x) + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1))
A081342: 1 5 34 260 2056 16400 131104 1048640 8388736 67109120 536871424 4294968320 34359740416 274877911040 2199023263744 17592186060800
loop(\(x,i).((((x * x) - 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1))
A120689: 0 3 30 252 2040 16368 131040 1048512 8388480 67108608 536870400 4294966272 34359736320 274877902848 2199023247360 17592186028032
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + loop(\(x,i).(x * 2),x,1))
A074604: 2 11 85 737 6577 59081 531505 4783097 43046977 387421001 3486785425 31381061657 282429540577 2541865836521 22876792471345 205891132127417
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(x * 2),x,1))
A191465: 0 7 77 721 6545 59017 531377 4782841 43046465 387419977 3486783377 31381057561 282429532385 2541865820137 22876792438577 205891132061881
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).(x * 2),x,1))
A138998: 0 1 1 1 1 9 49 121 65 329 913 25 2273 8169 16177 30905
loop(\(x,i).(((x * x) div (2 + 1)) + x),1,loop(\(x,i).(x * 2),x,1))
A079319: 1 3 9 29 101 373 1429 5589 22101 87893 350549 1400149 5596501 22377813 89494869 357946709
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) - loop(\(x,i).(x * 2),x,1))
A053152: 0 2 9 32 105 332 1029 3152 9585 29012 87549 263672 793065 2383292 7158069 21490592
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) + loop(\(x,i).(x * 2),x,1))
A099754: 2 4 9 22 57 154 429 1222 3537 10354 30549 90622 269817 805354 2407869 7207222
loop(\(x,i).((((x + 1) * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1))
A074535: 3 14 84 584 4368 33824 266304 2113664 16843008 134480384 1074791424 8594130944 68736258048 549822930944 4398314962944 35185445863424
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1))
A074600: 2 7 29 133 641 3157 15689 78253 390881 1953637 9766649 48830173 244144721 1220711317 6103532009 30517610893
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(x * 2),x,1))
A005057: 0 3 21 117 609 3093 15561 77997 390369 1952613 9764601 48826077 244136529 1220694933 6103499241 30517545357
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).(x * 2),x,1))
A029757: 0 1 1 5 1 21 9 45 225 357 761 1757 2641 5013 489 18829
(loop(\(x,i).((2 + 1) * x),(x * x),1) + loop(\(x,i).(x * 2),x,1))
A120798: 2 5 85 19691 43046737 847288609475 150094635296999185 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x * x),1) - loop(\(x,i).(x * 2),x,1))
A120799: 0 1 77 19675 43046705 847288609411 150094635296999057 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 0 else (((x * 2) + 1) * 2)) + loop(\(x,i).(x * 2),x,1))
A100315: 1 8 14 22 34 54 90 158 290 550 1066 2094 4146 8246 16442 32830
(loop(\(x,i).((2 + 1) * x),(x + 1),2) - loop(\(x,i).(x * 2),x,1))
A304168: 5 16 50 154 470 1426 4310 12994 39110 117586 353270 1060834 3184550 9557746 28681430 86060674
((loop(\(x,i).((2 + 1) * x),x,1) + 2) + loop(\(x,i).(x * 2),x,1))
A173657: 4 7 15 37 99 277 795 2317 6819 20197 60075 179197 535539 1602517 4799355 14381677
(loop(\(x,i).((x - 1) * (2 + 1)),x,2) - loop(\(x,i).(x * 2),x,1))
A134063: 1 1 2 7 26 91 302 967 3026 9331 28502 86527 261626 788971 2375102 7141687
(loop(\(x,i).(((2 + 1) * x) - 1),x,2) + loop(\(x,i).(x * 2),x,1))
A267799: 3 7 18 49 138 397 1158 3409 10098 30037 89598 267769 801258 2399677 7190838 21556129
(loop(\(x,i).(((2 + 1) * x) - 1),x,2) - loop(\(x,i).(x * 2),x,1))
A188545: 1 3 10
A053156: 1 3 10 33 106 333 1030 3153 9586 29013 87550 263673 793066 2383293 7158070 21490593
(loop(\(x,i).(x * 2),(x div 2),(x mod 2)) + loop(\(x,i).(x * 2),x,1))
A051437: 1 3 4 10 16 36 64 136 256 528 1024 2080 4096 8256 16384 32896
(loop(\(x,i).(((2 + 2) + 1) * x),x,2) - loop(\(x,i).(x * 2),x,1))
A083421: 1 8 46 242 1234 6218 31186 156122 780994 3905738 19530226 97654202 488277154 2441398058 12207014866 61035123482
((loop(\(x,i).((2 + 1) * x),x,1) + x) + loop(\(x,i).(x * 2),x,1))
A120846: 2 6 15 38 101 280 799 2322 6825 20204 60083 179206 535549 1602528 4799367 14381690
((loop(\(x,i).((2 + 1) * x),x,1) - x) + loop(\(x,i).(x * 2),x,1))
A120848: 2 4 11 32 93 270 787 2308 6809 20186 60063 179184 535525 1602502 4799339 14381660
loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,loop(\(x,i).(x * 2),x,1))
A155643: 1 6 76 876 9376 96876 984376 9921876 99609376 998046876 9990234376 99951171876 999755859376 9998779296876 99993896484376 999969482421876
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,loop(\(x,i).(x * 2),x,1))
A155637: 1 14 124 1124 10624 103124 1015624 10078124 100390624 1001953124 10009765624 100048828124 1000244140624 10001220703124 100006103515624 1000030517578124
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + (x * 2)),x,1)
A033139: 1 3 9 28 84 252 757 2271 6813 20440 61320 183960 551881 1655643 4966929 14900788
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then (0 - 1) else x) + (x * 2)),x,1)
A018307: 1 3 9 17 51 153
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) - x) - (x * 2)),x,1)
A053404: 1 1 13 25 181 481 2653 8425 40261 141361 624493 2320825 9814741 37664641 155441533 607417225
loop(\(x,i).(loop(\(x,i).((i * i) + x),(i + 1),x) + (x * 2)),x,1)
A156934: 1 8 38 144 487 1552 4796 14592 44061 132568 398210 1195280 3586659 10760992 32284216 96854144
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),x) + (x * 2)),x,1)
A153280: 1 3 15 165 4785 397155 97302975 71128474725 155700231173025 1021860617188563075 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 2) + x) + (x * 2)),x,1)
A037544: 1 5 17 52 158 476 1429 4289 12869 38608 115826 347480 1042441 3127325 9381977 28145932
loop(\(x,i).loop(\(x,i).(x * x),i,(((x * x) * x) * (x * 2))),x,1)
A067501: 1 4 68719476736 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((i + x) + (x * 2))),x,1)
A135294: 1 4 2 1 7 26 13 46 23 78 39 128 64 32 16 8
(loop(\(x,i).(if (x mod 2) <= 0 then ((i * 2) + x) else 2),(x div 2),x) + 1)
A185061: 1 2 5 3 11 7 19 13 29 21 41 31 55 43 71 57
(loop(\(x,i).(x * x),x,2) - loop(\(x,i).((x * x) + (x mod 2)),x,1))
A087046: 1 2 12 240 65280 4294901760 4611686018427387903 4611686018427387903 4611686018427387903
((2 + 1) - loop(\(x,i).((if x <= 0 then 1 else 0) - ((x * x) * 2)),x,1))
A277438: 2 5 10 100
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x * x) * x),2,x)) + 1)
A326618: 1 3 262657 387440173 68719738881 3814699218751 101559966746113 1628413638264057 18014398643699713 150094635684419611 1000000001000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2),x,1)
A001789: 1 8 40 160 560 1792 5376 15360 42240 112640 292864 745472 1863680 4587520 11141120 26738688
loop(\(x,i).(loop(\(x,i).((i * x) + 1),i,1) + ((i * x) * 2)),x,1)
A053482: 1 4 21 142 1201 12336 149989 2113546 33926337 611660476 12243073621 269456124774 6468249055921 168191402251432 4709596238204901 141291441773619106
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) - ((i * x) * 2)),x,1)
A343582: 1 1 5 ~3 105 ~807 10413 ~143595 2304081 ~41453775 829134549 ~18240782931 437779321785 ~11382260772087 318703306401405 ~9561099177693243
(loop(\(x,i).(i * x),(x * 2),1) - loop(\(x,i).((i * x) * 2),x,1))
A204841: 0 0 16 672 39936 3624960 478955520 87177646080 20922779566080 6402373519933440 2432902004460748800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)
A004982: 1 6 42 308 2310 17556 134596 1038312 8046918 62587140 488179692 3816677592 29897307804 234578876616 1843119744840 14499208659408
loop(\(x,i).(loop(\(x,i).((x - i) * 2),(x div 2),x) + 1),1,(x + 1))
A057225: 2 3 5 9 13 27
(loop(\(x,i).loop(\(x,i).((x + 1) * x),x,x),(x - 1),1) * (x + 1))
A135937: 1 2 6 168 4611686018427387903
(((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,1) * 2) - 1) div (x + 1))
A167374: 1 ~1 1 0 ~1 1 0 0 ~1 1 0 0 0 ~1 1 0
((if (x mod ((2 + 1) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1) * (x + 1))
A204896: 1 2 3 4 5 6 14 8 9 10 11 12 26 14 15 16
((if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1) * (x + 1))
A205406: 1 2 3 4 5 6 7 8 18 10 11 12 13 14 15 16
loop(\(x,i).(((i * 2) + 1) * x),((if x <= 0 then 1 else 2) + 1),(x + 1))
A019553: 15 210 315 420 525 630 735 840 945 1050 1155 1260 1365 1470 1575 1680
(loop(\(x,i).(if x <= 0 then 2 else ((i - 1) * x)),(x * 2),1) div (x + 1))
A322450: 1 1 4 60 2016 120960 11404800 1556755200 290594304000 71137485619200 22117290983424000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(0 - (loop(\(x,i).(x * 2),x,1) div (x + 1))))
A119000: ~1 ~2 ~4 ~16 ~48 ~160 ~576
(loop(\(x,i).(x * 2),x,2) - (loop(\(x,i).(x * 2),x,1) mod (x + 1)))
A320465: 2 4 7 16 31 62 127 256 508 1022 2047 4088 8191 16382 32764 65536
(loop(\(x,i).(((if (i mod 2) <= 0 then i else 1) + 1) * x),x,1) div (x + 1))
A205825: 1 1 2 3 12 20 120 210 1680 3024 30240 55440 665280 1235520 17297280 32432400
(loop(\(x,i).(loop(\(x,i).(i * x),i,(i + 1)) + x),x,1) div (x + 1))
A078619: 1 1 3 8 30 145 844 5779 45457 403791 3995883 43579692 519229008 6709162022 93440175754 1395274532769
(loop(\(x,i).(loop(\(x,i).(1 - (i * x)),i,1) - x),x,1) mod (x + 1))
A258817: 0 1 2 0 3 3 0 0 8 5 4 0 9 7 8 0
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(x + 1))
A038502: 1 2 1 4 5 2 7 8 1 10 11 4 13 14 5 16
((2 - loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then x else 1),2)) mod (x + 1))
A249744: 0 0 0 2 0 4 0 6 3 8 0 10 0 12 9 14
loop(\(x,i).loop(\(x,i).(x * 2),i,((x * x) * x)),(2 + 2),(x + 1))
A183062: 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((x * 2) + 1),x,(2 div (x + 1))))
A088037: 4 9 9 49 225 961 3969 16129 65025 261121 1046529 4190209 16769025 67092481 268402689 1073676289
loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,(x + 1))
A154660: 3 4 5 6 7 8
A099474: 3 4 5 6 7 8 9 10 11 12 14 16 17 18 19 20
(loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)) * (x + 1))
A243015: 2 6 0 20 0 42 0 0 0 110 0 156 0 0 0 272
loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))
A113459: 1 2 3 5 5 7 7 11 11 11 11 13
A159477: 1 2 3 5 5 7 7 11 11 11 11 13 13 17 17 17
(loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,x) + (x + 1))
A260392: 1 3 5 7 9 11 12 13 15 17 19 21 23 25 27 29
loop(\(x,i).((if (2 - i) <= 0 then x else 1) + ((x * 2) * 2)),x,(x + 1))
A081040: 1 9 65 425 2625 15625 90625 515625 2890625 16015625 87890625 478515625 2587890625 13916015625 74462890625 396728515625
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 1))
A002544: 1 12 90 560 3150 16632 84084 411840 1969110 9237800 42678636 194699232 878850700 3931426800 17450721000 76938289920
((if x <= 0 then 1 else (if (x - 2) <= 0 then x else ((x + 2) * x))) + (x + 1))
A130076: 2 3 5 19
A161414: 2 3 5 19 29
loop(\(x,i).(((if (2 - i) <= 0 then x else 1) + x) + (x * 2)),x,(x + 1))
A081039: 1 7 40 208 1024 4864 22528 102400 458752 2031616 8912896 38797312 167772160 721420288 3087007744 13153337344
loop(\(x,i).(x * 2),x,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A014964: 1 2 12 8 80 96 448 128 2304 2560 11264 6144 53248 57344 245760 32768
loop(\(x,i).loop(\(x,i).((0 - x) * 2),(i mod (2 + 1)),x),x,(x + 1))
A176900: 1 ~4 ~24 ~32 80 384 448 ~1024 ~4608 ~5120 11264 49152 53248 ~114688 ~491520 ~524288
(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - (x + 1)))
A064801: 1 4 5 9 10 11 16 17 18 19 25 26 27 28 29 36
loop(\(x,i).((x * x) * x),1,loop(\(x,i).((i + 1) * x),x,(x + 1)))
A321207: 1 64 5832 884736 216000000 80621568000 43912253952000 33560740233216000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(x div (if (x mod 2) <= 0 then 1 else (2 + 2))),x,x),(x + 1))
A032911: 1 3 5 7 13 15 21 23 29 31 53 55 61 63 85 87
((if x <= 0 then 1 else loop(\(x,i).(((i + x) * x) div 2),x,x)) + (x + 1))
A322067: 2 3 10 328
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,(x + 1))
A027800: 1 10 45 140 350 756 1470 2640 4455 7150 11011 16380 23660 33320 45900 62016
loop(\(x,i).((if ((x div 2) - 2) <= 0 then 1 else 2) + (i * x)),x,(x + 1))
A005346: 1 3 9 35 178 1132
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),2) + (i * x)),x,(x + 1))
A000775: 1 4 12 46 220 1268 8568 66456 582048 5681952 61174080 720089280 9199906560 126783809280 1874605662720 29601115891200
loop(\(x,i).(i * x),((x + 1) * x),loop(\(x,i).(i * x),x,(x + 1)))
A127235: 1 4 4320 11496038400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),i,i) + x),x,(x + 1))
A135013: 1 2 5 6 11 14 21 22 31 36 47 50 63 70 85 86
loop(\(x,i).((if (x - 2) <= 0 then 1 else (x * x)) * x),(x - 1),(x - 1))
A257229: ~1 0 1 2 7625597484987
(if x <= 0 then 2 else loop(\(x,i).(((x * x) - 1) * 2),(x * 2),(x - 1)))
A103527: 2 6 70 4611686018427387903
(if (x - (2 + 2)) <= 0 then 0 else loop(\(x,i).((x - i) * x),2,(x - 1)))
A052768: 0 0 0 0 0 120 360 840 1680 3024 5040 7920 11880 17160 24024 32760
((x * 2) - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 2))),x,(x - 1)))
A048859: 1 2 6 7 8 13 14 15 16 22 23 24 25 26 33 34
loop(\(x,i).(loop(\(x,i).(x - (i - ((i * i) * 2))),i,0) * x),x,1)
A279662: 1 1 7 154 7700 731500 117771500 29678418000 11040371496000 5796195035400000 4144279450311000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1)
A016014: 1 1 1 2 1 1 2 1 1 2 1 3 2 1 1 3
loop(\(x,i).((loop(\(x,i).((1 - x) * 2),(i - 1),1) + 1) * x),x,1)
A247525: 1 2 2 6 ~6 ~42 378 8694 ~356454 ~31011498 5240943162 1797643504566 ~1224195226609446 ~1673474874775112682 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((i + x) * x),2,(2 + 1)) - 1) * x),x,1)
A175558: 1 167 27889 4657463 777796321 129891985607 21691961596369 3622557586593623 604967116961135041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),1,((i div (2 + 1)) + 1)) + x),x,1)
A263465: 1 2 3 7 11
A092353: 1 2 3 7 11 15 24 33 42 58 74 90 115 140 165 201
loop(\(x,i).(loop(\(x,i).((i * i) * (i * x)),(i + 1),1) + x),x,1)
A138564: 1 9 225 14049 1742049 374990049 128399054049 65676719822049 47850402559694049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * x) + 1) * (2 + 1)),2,1) * x),x,1)
A225374: 1 111 12321 1367631 151807041 16850581551 1870414552161 207616015289871 23045377697175681 2558036924386500591 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A094970: 1 3 12 42 150 525 1838 6433 22518 78815 275854 965491 3379220 11827271 41395451 144884079
loop(\(x,i).((loop(\(x,i).(((x * x) * x) + 2),2,2) - 1) * x),x,1)
A097659: 1 1001 1002001 1003003001 1004006004001 1005010010005001 1006015020015006001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x div (if (i mod (2 + 1)) <= 0 then (2 + 2) else 1)) + x),x,1)
A005018: 1 2 4 5 10 20
A018283: 1 2 4 5 10 20 25 50 100
A018489: 1 2 4 5 10 20 25 50 100 125 250 500
A245478: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125
loop(\(x,i).((x div (if (i mod (2 + 2)) <= 0 then (2 + 2) else 1)) + x),x,1)
A222011: 1 2 4 8
A004655: 1 2 4 8 10 20 40 80 100 200 400 800 1000 2000 4000 8000
loop(\(x,i).((x div 2) * x),1,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A162729: 0 10 300 7750 195000 4881250 122062500 3051718750 76293750000 1907347656250 47683710937500 1192092871093750 29802322265625000 745058059082031250 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A094974: 1 1 2 4 7 12 21 35 59 99 165 275 459 765 1276 2126
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A155594: 1 11 103 1007 10015 100031 1000063 10000127 100000255 1000000511 10000001023 100000002047 1000000004095 10000000008191 100000000016383 1000000000032767
loop(\(x,i).((x * 2) - 1),x,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A155601: 1 9 97 993 9985 99969 999937 9999873 99999745 999999489 9999998977 99999997953 999999995905 9999999991809 99999999983617 999999999967233
loop(\(x,i).(x div (2 + 2)),x,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A094979-A065565: 1 1 1 1 2 3 3 4 5 7 9 11 14 18 22 28
loop(\(x,i).((x div 2) * x),1,(0 - loop(\(x,i).((2 + 1) * x),x,1)))
A025551: 1 6 45 378 3321 29646 266085 2392578 21526641 193720086 1743421725 15690618378 141215033961 1270933711326 11438398618965 102945573221778
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A010035: 1 15 153 1431 13041 117855 1062153 9563751 86086881 774821295 6973509753 62761942071 564858541521 5083730062335 45753580126953 411782249840391
(loop(\(x,i).((x - 2) * 2),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A094729: 0 1 1 7 37 151 541 1807 5797 18151 55981 171007 519157 1569751 4733821 14250607
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A005061: 0 1 7 37 175 781 3367 14197 58975 242461 989527 4017157 16245775 65514541 263652487 1059392917
(loop(\(x,i).((x * 2) * 2),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A064629: 0 1 7 10 13 52 451 1075 6487 6265 44743 119923 302545 147298 589192 11922706
loop(\(x,i).(((x * x) div 2) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A130213: 0 12 360 9828 265680 7174332 193709880 5230175508 141214764960 3812798732652 102945566017800 2779530283189188 75047317648233840 2026277576508690972 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - 1),(x - 1),loop(\(x,i).((2 + 1) * x),x,1))
A036551: 1 3 17 105 641 3873 23297 139905 839681 5038593 30232577 181397505 1088389121 6530342913 39182073857 235092475905
loop(\(x,i).(((x div 2) + x) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A016142: 1 12 117 1080 9801 88452 796797 7173360 64566801 581120892 5230147077 47071500840 423644039001 3812797945332 34315186290957 308836690967520
(loop(\(x,i).(x * 2),(x * x),1) + loop(\(x,i).((2 + 1) * x),x,1))
A120767: 2 5 25 539 65617 33554675 68719477465 562949953423499 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(x * x),1) - loop(\(x,i).((2 + 1) * x),x,1))
A120773: 0 ~1 7 485 65455 33554189 68719476007 562949953419125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * (2 + 1)),2,loop(\(x,i).((2 + 1) * x),x,1))
A013779: 27 2187 177147 14348907 1162261467 94143178827 7625597484987 617673396283947 50031545098999707 4052555153018976267 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),((x - 2) * 2),loop(\(x,i).((2 + 1) * x),x,1))
A057269: 1 3 9 531441
(loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).((2 + 1) * x),x,1))
A085350: 1 5 23 101 431 1805 7463 30581 124511 504605 2038103 8211461 33022991 132623405 532087943 2133134741
((x + 1) div loop(\(x,i).i,loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1))
A329900: 1 2 1 4 1 3 1 8 1 2 1 6 1 2 1 16
loop(\(x,i).(loop(\(x,i).((i + 1) * x),(i - (x mod 2)),1) + x),x,1)
A054116: 1 2 8 32 152 872 5912 46232 409112 4037912 43954712 522956312 6749977112 93928268312 1401602636312 22324392524312
(x - (loop(\(x,i).(x - (((if x <= 0 then 0 else i) * 2) + 1)),x,x) - 1))
A007606: 1 4 5 6 11 12 13 14 15 22 23 24 25 26 27 28
loop(\(x,i).((loop(\(x,i).((x * 2) * (x + 1)),i,2) + 1) * x),x,1)
A068532: 1 13 4069 794728597 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x - (i mod 2)) * 2),i,2) - 1) * x),x,1)
A269694: 1 1 3 15 165 3465 148995 12664575 2165642325 738484032825 504384594419475 688484971382583375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((i * 2) - 1) * x),x,1))
A166750: 1 1 27 3375 1157625 843908625 1123242379875 2467763508585375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) div 2),x,loop(\(x,i).(((i * 2) - 1) * x),x,1))
A020135: 1 1 1 2 7 30 163 1056 7919 67304 639384 6713531 77205602 965070018 13028445232 188912455861
(x - (loop(\(x,i).(x - (if x <= 0 then 1 else ((i div 2) + 1))),x,x) - 1))
A274427: 1 2 4 5 7 8 11 12 13 16 17 18 22 23 24 25
loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (i mod 2)) - 1) * x),x,1)
A003053: 1 2 6 48 720 23040 1451520 185794560 47377612800 24257337753600 24815256521932800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else ((2 + 2) * 2)) * loop(\(x,i).((x + 1) * x),x,1))
A226966: 1 16 48 336 14448
loop(\(x,i).((loop(\(x,i).(x * 2),i,1) div ((i * x) + 1)) + x),x,1)
A064324: 1 2 2 3 4 5 7 9 12 16 22 30 41 56 76 104
loop(\(x,i).(loop(\(x,i).(((x * 2) * (2 + 1)) + 1),i,1) * x),x,1)
A015005: 1 7 301 77959 121226245 1131162092095 63330372050122765 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1) * x),x,1)
A015007: 1 9 657 384345 1799118945 67375205371305 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - ((x * 2) * (2 + 1))),i,1) * x),x,1)
A015019: 1 ~5 ~155 28675 31857925 ~212333070125 ~8491411807368875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((x + 1) * x) div 2) + 1),i,1) + x),x,1)
A173449: 1 3 7 18 85 2364 2600425 3374964379317 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) * x),x,1)
A015004: 1 6 186 29016 22661496 88515803376 1728802155736656 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((i * x) * (i + 1)) div 2),i,1) * x),x,1)
A154604: 1 1 3 54 9720 26244000 1488034800000 2362404048480000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - (((x * 2) * 2) * 2)),i,1) * x),x,1)
A015022: 1 ~7 ~399 181545 661005345 ~19253102683815 ~4486300228074519855 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((1 - x) - ((x * 2) * 2)),i,1) * x),x,1)
A015018: 1 ~4 ~84 8736 4551456 ~11851991424 ~154324780331904 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),(i * 2),(i + 1)) + x),x,1)
A014931: 1 33 801 17185 344865 6636321 124076833 2271560481 40926266145 728121033505 12822748939041 223928981472033 3883103678710561 66933498461897505 1147797409030816545 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),(i + 1)) + x),x,1)
A014923: 1 19 262 3178 35983 390277 4110364 42374116 429794605 4303999495 42658627906 419231343214 4090815317467 39676936914073 382828823738488 3677086937252872
loop(\(x,i).loop(\(x,i).((((i + 1) div 2) * i) + x),(i + 1),x),x,1)
A206806: 1 4 13 30 62 112 190 300 455 660 931 1274 1708 2240 2892 3672
loop(\(x,i).loop(\(x,i).(((i * i) * (i * i)) + x),(i + 1),x),x,1)
A101089: 1 18 116 470 1449 3724 8400 17172 32505 57838 97812 158522 247793 375480 553792 797640
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,(i + 1)) + x),x,1)
A014921: 1 17 209 2257 22737 219345 2054353 18831569 169826513 1512003793 13323163857 116402378961 1009755576529 8706336970961 74677034637521 637626988058833
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,1) + ((i - 1) * x)),x,1)
A195256: 1 4 20 104 568 3296 20576 139840 1044416 8617472 78605824 790252544 8709555200 104581771264 1359831461888 19038714208256
loop(\(x,i).(loop(\(x,i).(((x mod (2 + 2)) + 2) * x),i,1) * x),x,1)
A099168: 1 3 45 3375 1265625 2373046875 22247314453125 1042842864990234375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((i * i) * i) * (i * x)),i,1) + x),x,1)
A289949: 1 2 18 1314 333090 207693090 268946253090 645510228813090 2643553803594573090 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (2 - x) <= 0 then ((2 + 2) * 2) else 1) + 2) * x),x,1)
A093138: 1 3 30 300 3000 30000 300000 3000000 30000000 300000000 3000000000 30000000000 300000000000 3000000000000 30000000000000 300000000000000
loop(\(x,i).(x mod 2),(x mod 2),loop(\(x,i).(((i + 1) div 2) * x),x,1))
A110947: 1 1 1 0 4 0 36 0 576 0 14400 0 518400 0 25401600 0
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),(x div (i + 1)),2) * x),x,1)
A073888: 1 2 4 32 262144 4611686018427387903
loop(\(x,i).(1 - (x - (loop(\(x,i).(x * x),(i - 1),2) * x))),x,1)
A162634: 1 2 7 106 27031 1771476586 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(((x mod (2 + 2)) + 2) * x),x,1))
A067405: 1 9 225 5625 140625 3515625 87890625 2197265625 54931640625 1373291015625 34332275390625 858306884765625 21457672119140625 536441802978515625 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else x) * (2 + 2)) + x),x,1)
A018612: 1 5 25 29 145 725
loop(\(x,i).((((if (i mod (2 + 1)) <= 0 then 2 else 0) + x) * 2) + x),x,1)
A018370: 1 3 9 31 93 279
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) + 1)
A318165: 1 3 13
A319924: 1 3 13 61 281 1261 5545 24025 102961 437581 1847561 7759753 32449873 135207801 561632401 2326762801
loop(\(x,i).(loop(\(x,i).(0 - x),i,(2 + 1)) + ((i + 2) * x)),x,1)
A176408: 1 0 3 12 75 522 4179 37608 376083 4136910 49642923 645357996 9035011947 135525179202 2168402867235 36862848742992
loop(\(x,i).(loop(\(x,i).((0 - i) * x),i,1) + ((i + 2) * x)),x,1)
A142983: 1 2 10 44 288 1896 15888 137952 1419840 15255360 186693120 2387093760 33898314240 502247692800 8123141376000 136785729024000
loop(\(x,i).loop(\(x,i).((((i + 1) div 2) * i) * x),(i * 2),x),x,1)
A174827: 1 2 192 4976640 115579079884800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod 2) <= 0 then 2 else (x * 2)) * (i div 2)) + x),x,1)
A047905: 1 1 3 9 13 65 71 497 505 4545 4555 50105 50117 651521 651535 9773025
loop(\(x,i).((loop(\(x,i).((x * 2) + 1),i,1) + (i mod 2)) * x),x,1)
A086812: 1 4 28 448 13888 888832 112881664 28897705984 14766727757824 15121129224011776 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x * 2) * 2),(x * x),1))
A135398: 1 12 2304 7077888 347892350976 273593677362757632 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x * x),1)
A201555: 1 2 70 48620 601080390 126410606437752 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) + 1)
A191106: 1 3 7 9 19 21 25 27 55 57 61 63 73 75 79 81
loop(\(x,i).((if (x mod ((i + 2) + 1)) <= 0 then (2 + 1) else x) + x),x,1)
A222011: 1 2 4 8
A018383: 1 2 4 8 16 19 38 76 152 304
loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then (2 + 1) else x) * x),x,1)
A175129: 1 3 9 27 729 531441 282429536481 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),((2 + 1) * x)) + x),x,1)
A155105: 1 4 28 364 9100 445900 43252300
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),((i * 2) - 1),x) + x),x,1)
A085523: 1 5 325 333125 5458253125 1430853765453125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),((i * 2) - 1),x) + x),x,1)
A085522: 1 4 112 27328 59793664 1176978482176 208499384160514048 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then ((x * x) - 1) else x) + x),x,1)
A018273: 1 2 4 19 38 76
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then ((i * x) + 1) else x) + x),x,1)
A018269: 1 2 4 17 34 68
loop(\(x,i).(loop(\(x,i).(x * 2),((2 + 2) div (i + 1)),x) + x),x,1)
A094283: 1 5 15 45 90 180 360 720 1440 2880 5760 11520 23040 46080 92160 184320
loop(\(x,i).(loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),x) - x),x,1)
A135640: 1 839 703921 590589719 495504774241 415728505588199 348796216188498961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(if (x mod (2 + 2)) <= 0 then x else (x div 2)),x,x),x) + 1)
A052499: 1 2 3 4 6 7 8 11 12 14 15 16 22 23 24 27
(loop(\(x,i).(if x <= 0 then 1 else ((((i - 1) * i) div 2) * x)),x,x) + 1)
A048774: 1 1 2 4 19 181
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),(i * 2),x) - x),x,1)
A028694: 1 24 14976 233985024 91400166014976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * 2),(i - 1),1) + (x * x)),x,1)
A332757: 1 2 6 44 2064 4292864 18430828806144 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,(x * x)),x,1)
A067504: 1 7 2401 1977326743
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),i,x) - x),x,1)
A027880: 1 11 1573 2716571 56328099685 14016177372718235 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,x) - x),x,1)
A027878: 1 9 891 890109 8900199891 890011088900109 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + (i * x)) - x),x,1)
A195255: 1 3 12 51 234 1179 6624 41931 300078 2420307 21841812 218595267 2405079378 28862546859 375217892136 5253064838811
loop(\(x,i).((loop(\(x,i).((0 - i) * x),i,1) + (i * x)) + x),x,1)
A024167: 1 1 5 14 94 444 3828 25584 270576 2342880 29400480 312888960 4546558080 57424792320 948550176000 13869128448000
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,x) - x),x,1)
A027875: 1 6 288 98496 236390400 3972777062400 467389275837235200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),((((2 + 1) * 2) + 1) * i),x),x,1)
A271947: 1 5040 439378587648000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i + 1) * x),(((2 + 2) + 1) * i),x),x,1)
A294323: 1 720 28740096000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((x * 2) * 2) * ((i * 2) - 1)),i,x),x,1)
A203516: 1 4 192 184320 4954521600 4794391461888000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((i * i) * (i * x)) * (i + 1)),i,x),x,1)
A091810: 1 2 96 497664 825564856320 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A000581: 1 9 45 165 495 1287 3003 6435 12870 24310 43758 75582 125970 203490 319770 490314
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),((2 + 1) * 2),i) - x),x,1)
A056084: 1 728 730 1457 1459 2186 2188 2915 2917 3644 3646 4373 4375 5102 5104 5831
loop(\(x,i).(loop(\(x,i).((i * x) + 1),(i - 1),1) + (i * x)),x,1)
A093345: 1 2 6 23 108 605 3956 29649 250892 2367629 24662700 281153801 3482350724 46572620757 668943488084 10271127486065
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),i,1) + (i * x)),x,1)
A108869: 1 7 50 366 2760 21576 176112 1512720 13781376 134110080 1401566976 15780033792 191537187840 2503044135936 35120982067200 527284915992576
loop(\(x,i).(loop(\(x,i).((0 - x) * (2 + 1)),i,1) + (i * x)),x,1)
A010843: 1 ~2 5 ~12 33 ~78 261 ~360 3681 13446 193509 1951452 23948865 309740922 4341155877 65102989248
loop(\(x,i).(loop(\(x,i).(((i * x) * 2) + 1),i,1) - (i * x)),x,1)
A110322: 1 2 9 52 425 4206 50737 708464 11350257 204171130 4084757561 89849981772 2156575777369 56068679418662 1569955094823585 47098171778191816
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (i * x)),x,1)
A080954: 1 6 37 236 1569 10970 81445 648240 5576545 52142030 531185925 5891873300 70946620225 923526766050 12935478240325 194062691183000
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + (i * x)),x,1)
A034430: 1 2 7 36 249 2190 23535 299880 4426065 74294010 1397669175 29123671500 665718201225 16560190196550 445300709428575 12869793995058000
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) - (i * x)),x,1)
A331403: 1 0 3 6 81 540 7155 85050 1346625 22339800 431331075 9004668750 208178118225 5199538043700 140664514065075 4080315642653250
loop(\(x,i).(x - ((if (i mod 2) <= 0 then (0 - 2) else 2) - (i * x))),x,1)
A055596: 1 0 2 6 32 190 1332 10654 95888 958878 10547660 126571918 1645434936 23036089102 345541336532 5528661384510
(loop(\(x,i).(i * x),((x * 2) * 2),1) div loop(\(x,i).(i * x),x,1))
A166338: 1 24 20160 79833600 871782912000 20274183401472000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i * 2) - 1) * x),x,1) div loop(\(x,i).(i * x),x,1))
A024502: 1 1 1 2 4 7 14 26 50 94 180 344 660 1269 2448 4733
(loop(\(x,i).((x * 2) * 2),(x * x),1) + loop(\(x,i).(i * x),x,1))
A309675: 2 5 258 262150 4294967320 1125899906842744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * i) * (2 + 2)) - 1) * x),i,x),x,1)
A136411: 1 3 135 212625 21097715625 207248662456171875 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),(x * x),1) div loop(\(x,i).((i * i) * x),x,1))
A088021: 1 1 6 10080 36324288000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * i) + x),i,i) * x),x,1)
A302911: 1 6 102 3366 181764 14541120 1614064320 237267455040 44606281547520 10437869882119680 2974792916404108800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i div (2 + 1)) + (x * 2)),x,1) + i),x,1)
A212814: 1 3 11 2632
(if x <= 0 then 1 else ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 0) + 2))
A103817: 1 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2
(loop(\(x,i).(x * 2),x,1) div (if (x mod (2 + 1)) <= 0 then 1 else (0 - 2)))
A104537: 1 ~1 ~2 8 ~8 ~16 64 ~64 ~128 512 ~512 ~1024 4096 ~4096 ~8192 32768
((if x <= 0 then 1 else x) mod (if ((x div (2 + 2)) mod 2) <= 0 then 2 else (0 - 2)))
A257170: 1 1 0 1 0 ~1 0 ~1 0 1 0 1 0 ~1 0 ~1
((x - (if (x - 2) <= 0 then 1 else (if (x mod (2 + 1)) <= 0 then x else 0))) mod 2)
A265245: 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0
(if x <= 0 then 1 else (loop(\(x,i).(((i * x) - (x div 2)) + 1),x,0) div 2))
A101205: 1 0 1 4 16 75
(if (x mod (((x - 1) mod (2 + 2)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)
A331591-A193509: 0 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1
(if ((x - 2) mod ((x div (2 + 2)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)
A212179: 0 1 1 1 1 2 1 2 1 2 2 1 2 2 1 2
(if x <= 0 then 0 else (if (x mod (((x div (2 + 2)) * 2) - 1)) <= 0 then 1 else 2))
A233544: 0 1 1 1 1 1 1 1 2 1 2 2 2 2 2 1
((if (x mod (2 + 1)) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * 2)
A010133: 6 2 2 12 2 2 12 2 2 12 2 2 12 2 2 12
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * 2)
A040143: 12 2 24 2 24 2 24 2 24 2 24 2 24 2 24 2
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,(2 + 1)) + 1)) div 2)
A049775: 2 7 26 100 392 1552 6176 24640 98432 393472 1573376 6292480 25167872 100667392 402661376 1610629120
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),(x - (2 + 1)),1) div 2))
A052652: 0 0 0 0 24 240 2880 40320 645120 11612160 232243200 5109350400 122624409600 3188234649600 89270570188800 2678117105664000
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((x + 2) * 2),x,1) + 1)) div 2)
A080960: 1 7 34 148 616 2512 10144 40768 163456 654592 2619904 10482688 41936896 167759872 671064064 2684305408
(((x + 2) div (if (if (x mod (2 + 1)) <= 0 then x else 0) <= 0 then 2 else 1)) mod 2)
A051023: 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1
((if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040099: 10 2 20 2 20 2 20 2 20 2 20 2 20 2 20 2
((if (x mod 2) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040255: 16 2 32 2 32 2 32 2 32 2 32 2 32 2 32 2
(if (x - 1) <= 0 then x else ((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) * 2))
A144532: 0 1 16 2 16 2 16 2 16 2 16 2 16 2 16 2
((if x <= 0 then 1 else x) mod (if (((x div 2) + 2) mod (2 + 2)) <= 0 then 1 else 2))
A321512: 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1
(if x <= 0 then 1 else ((if (x - 2) <= 0 then (x * 2) else ((2 + 2) + 1)) * 2))
A329503: 1 4 8 10 10 10 10 10 10 10 10 10 10 10 10 10
loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 1 else (((2 + 2) + 1) * 2)))
A165428: 1 10 10 100 10000 100000000 10000000000000000 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).((2 + 1) * x),((2 + 2) + 1),2))
A249227: 486 972 1944 3888 7776 15552 31104 62208 124416 248832 497664 995328 1990656 3981312 7962624 15925248
(if (x mod ((2 + 2) + 1)) <= 0 then 0 else (if (x - (2 + 2)) <= 0 then 1 else 2))
A215884: 0 1 1 1 1 0 2 2 2 2 0 2 2 2 2 0
(loop(\(x,i).(i * x),x,((if x <= 0 then 1 else ((x + 2) + 2)) + 1)) div 2)
A229039: 1 3 7 24 108 600 3960 30240 262080 2540160 27216000 319334400 4071513600 56043187200 828193766400 13076743680000
((if (x mod (2 + 1)) <= 0 then 1 else x) mod (if ((x div 2) - 2) <= 0 then 1 else 2))
A011680: 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1
(if (x - 1) <= 0 then x else (if ((x - 2) mod ((x mod 2) + 2)) <= 0 then 1 else 2))
A242481: 0 1 1 2 1 1 1 2 1 2 1 1 1 2 1 2
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 2)
A040080: 9 2 18 2 18 2 18 2 18 2 18 2 18 2 18 2
(if x <= 0 then 1 else loop(\(x,i).(x * 2),(((x div 2) + 1) div (2 + 1)),2))
A306390: 1 2 2 2 4 4 4 4 4 4 8 8 8 8 8 8
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).(x * x),2,(2 + 1)) + 2))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036135: 1 2 4 8 16 32 64 45 7 14 28 56 29 58 33 66
((if x <= 0 then 1 else ((if (x mod 2) <= 0 then x else 1) * x)) mod ((2 + 1) * 2))
A204671: 1 1 4 3 4 5 0 1 4 3 4 5 0 1 4 3
(if x <= 0 then 1 else ((((if (x mod 2) <= 0 then x else (1 - x)) * 2) - 1) * 2))
A161718: 1 ~2 6 ~10 14 ~18 22 ~26 30 ~34 38 ~42 46 ~50 54 ~58
loop(\(x,i).(x * x),2,loop(\(x,i).((x * 2) * 2),((x * 2) + 1),2))
A013805: 4096 268435456 17592186044416 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,loop(\(x,i).((x * x) * 2),((x * 2) - 1),2))
A139296: 16 4096 1152921504606846976 4611686018427387903
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * 2) + 1) * 2)
A174028: 2 2 6 2 6 10 2 6 10 14 2 6 10 14 18 2
(((if (x - 2) <= 0 then 1 else 2) - (if (x mod (2 + 1)) <= 0 then x else 1)) mod 2)
A267810: 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1
(loop(\(x,i).(x div 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1)) + 2)
A259796: 3 4 5 7 9 13 19 27 40 59 88 131 196 293 439 658
(if x <= 0 then 1 else ((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + 1) * 2))
A303580: 1 6 8 10 12 14 18 20 22 24 26 28 30 32 34 36
(loop(\(x,i).(0 - x),(x - 1),loop(\(x,i).((2 - x) * 2),x,1)) * 2)
A115341: 2 4 0 8 8 24 40 88 168 344 680 1368 2728 5464 10920 21848
(((if (x - (2 + 1)) <= 0 then 2 else 0) + loop(\(x,i).(x * 2),x,1)) * 2)
A212350: 6 8 12 20 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536
(loop(\(x,i).((2 + 1) * x),x,1) - (loop(\(x,i).(x * 2),x,1) div 2))
A083313: 1 2 7 23 73 227 697 2123 6433 19427 58537 176123 529393 1590227 4774777 14332523
loop(\(x,i).(i * x),x,loop(\(x,i).((i * x) * (i + 2)),(x + 1),2))
A084259: 6 48 1440 103680 14515200 3483648000 1316818944000 737418608640000 584035538042880000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 2)),x,x) + ((x + 1) * 2))
A182815: 2 4 5 6 7 8 8 9 10 11 10 11 12 13 14 12
loop(\(x,i).((if (x mod 2) <= 0 then (x * 2) else 1) + 2),x,((x + 1) mod 2))
A282004: 1 2 3 14 3 62 3 254 3 1022 3 4094 3 16382 3 65534
loop(\(x,i).(x * x),1,loop(\(x,i).(((i + 2) + 1) * x),(x + 1),2))
A162994: 64 1600 57600 2822400 180633600 14631321600 1463132160000 177038991360000 25493614755840000 4308420893736960000 4611686018427387903 4611686018427387903
(loop(\(x,i).(if (x mod 2) <= 0 then x else ((1 - x) div 2)),x,(x + 1)) div 2)
A329480: 0 1 0 2 ~1 3 1 4 ~2 5 0 6 ~3 7 2 8
loop(\(x,i).loop(\(x,i).(x * 2),(x - 1),((x * x) * x)),(x - 1),2)
A100680: 2 2 16 134217728 4611686018427387903
(((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040048: 7 2 14 2 14 2 14 2 14 2 14 2 14 2 14 2
(loop(\(x,i).((i * x) * (2 + 1)),(x + 1),1) div (if x <= 0 then 1 else 2))
A032108: 3 9 81 972 14580 262440 5511240 132269760 3571283520 107138505600 3535570684800 127280544652800 4963941241459200 208485532141286400 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(((x * x) div 2) div (2 + 1)),(if x <= 0 then 1 else 2))
A051285: 1 2 2 4 16 65536 4611686018427387903
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else 2) + (if x <= 0 then 1 else 2))
A151659: 1 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4
((((if (x mod 2) <= 0 then (2 + 2) else 0) + 1) * 2) * (if x <= 0 then 1 else 2))
A040094: 10 4 20 4 20 4 20 4 20 4 20 4 20 4 20 4
(((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) * 2) * (if x <= 0 then 1 else 2))
A040137: 12 4 24 4 24 4 24 4 24 4 24 4 24 4 24 4
(((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) * 2) * (if x <= 0 then 1 else 2))
A040247: 16 4 32 4 32 4 32 4 32 4 32 4 32 4 32 4
loop(\(x,i).(((2 + 2) + 1) * x),(2 - (x mod 2)),(if x <= 0 then 1 else 2))
A040604: 25 10 50 10 50 10 50 10 50 10 50 10 50 10 50 10
((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + (if x <= 0 then 1 else 2))
A331280: 1 2 3 2 4 3 5 2 6 4 7 3 8 5 9 2
(((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * (if x <= 0 then 1 else 2))
A231407: 1 4 6
A175246: 1 4 6 8 10 12 14 16 18 20 24 26 28 30 32 34
(loop(\(x,i).(loop(\(x,i).(x * x),2,((i * 2) + 1)) + x),x,1) * 2)
A259319: 2 164 1414 6216 19338 48620 105742 206992 374034 634676 1023638 1583320 2364570 3427452 4842014 6689056
(loop(\(x,i).((if ((x div (2 + 1)) - 2) <= 0 then 2 else x) * x),x,1) * 2)
A272698: 2 4 8 16 32 512
(if x <= 0 then 1 else ((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) * 2))
A205295: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
(((loop(\(x,i).((if (x - 1) <= 0 then i else x) + x),x,0) + 1) + 2) * 2)
A146529: 6 8 12 18 30 54 102 198 390 774 1542 3078 6150 12294 24582 49158
(((if x <= 0 then 1 else (loop(\(x,i).(x * 2),x,2) * (2 + 1))) + 2) * 2)
A091307: 6 28 52 100 196 388 772 1540 3076 6148 12292 24580 49156 98308 196612 393220
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),((x + 2) + 1),2) + 2)
A147615: 13 37 157 877 5917 46237 409117 4037917 43954717 522956317 6749977117 93928268317 1401602636317 22324392524317 378011820620317 6780385526348317
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).(((x * x) * 2) + 1),2,2))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036150: 1 2 4 8 16 32 64 128 93 23 46 92 21 42 84 5
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A000855: 1 2 4 8 16 32 64 28 56 12 24 48 96 92 84 68
((((if (x mod 2) <= 0 then (if x <= 0 then 1 else x) else 2) * (x + 1)) + 2) + 2)
A087280: 5 8 10 12 24
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),((x + 1) div 2),2))
A208901: 0 0 4 8 24 48 112 224 480 960 1984 3968 8064 16128 32512 65024
(loop(\(x,i).(loop(\(x,i).i,(x div (2 + 2)),1) + x),(x - 1),2) div 2)
A125894: 1 1 1 2 2 3 3 4 5 6 7 9 11 13 16 20
(if x <= 0 then 1 else (((if (x - (2 + 2)) <= 0 then 1 else (2 + 2)) * 2) * 2))
A132383: 1 4 4 4 4 16 16 16 16 16 16 16 16 16 16 16
(loop(\(x,i).((x div 2) + x),x,loop(\(x,i).((x * x) + 2),2,2)) div 2)
A120144: 19 28 42 63 95 142 213 320 480 720 1080 1620 2430 3645 5467 8201
(loop(\(x,i).(i * x),x,1) mod loop(\(x,i).((x * x) * 2),(2 + 2),2))
A289282: 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 1932053504 1278945280 2004310016
((if (x mod 2) <= 0 then loop(\(x,i).(x * 2),x,1) else x) mod ((2 + 2) * 2))
A204694: 1 1 4 3 0 5 0 7 0 1 0 3 0 5 0 7
((if x <= 0 then 1 else (x div ((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)))) mod 2)
A233320-A131218: 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1
(loop(\(x,i).(i + x),(x + 2),loop(\(x,i).(x * 2),x,(2 + 2))) * 2)
A077265: 14 28 52 94 170 312 584 1114 2158 4228 8348 16566 32978 65776 131344 262450
(loop(\(x,i).(x * 2),x,loop(\(x,i).(x * x),1,(x - (2 + 2)))) div 2)
A135466: 8 9 8 4 0 16 128 576 2048 6400 18432 50176 131072 331776 819200 1982464
((loop(\(x,i).(i * x),x,(if (x - (2 + 1)) <= 0 then x else 2)) div 2) * 2)
A052642: 0 0 4 18 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
loop(\(x,i).(x * 2),x,((loop(\(x,i).((x * 2) + 1),x,2) div 2) + 2))
A093356: 3 8 28 104 400 1568 6208 24704 98560 393728 1573888 6293504 25169920 100671488 402669568 1610645504
((loop(\(x,i).((x - i) * x),(if x <= 0 then 1 else 2),(x + 2)) * 2) * 2)
A241813: 8 96 480 1440
((if (x - 1) <= 0 then x else loop(\(x,i).(x * x),1,((x + 2) * 2))) + 2)
A099080: 2 3 66 102
loop(\(x,i).(x * 2),x,(loop(\(x,i).((i + 2) * x),(x div 2),2) + 2))
A094867: 4 8 32 64 416 832
(if x <= 0 then 1 else loop(\(x,i).(x * 2),(x - 1),(((x mod 2) + 2) + 2)))
A084568: 1 5 8 20 32 80 128 320 512 1280 2048 5120 8192 20480 32768 81920
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).((x * x) + 2),2,2))
A070360: 1 3 9 27 5 15 7 21 25 37 35 29 11 33 23 31
(loop(\(x,i).((x + 1) * 2),x,2) + loop(\(x,i).((x * x) * 2),2,2))
A250740: 130 134 142 158 190 254 382 638 1150 2174 4222 8318 16510 32894 65662 131198
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).((x * x) + (i + 2)),2,2))
A222011: 1 2 4 8
A036128: 1 2 4 8 16 32 11 22 44 35 17 34 15 30 7 14
loop(\(x,i).(((2 + 1) * x) + 1),x,(if (x - 2) <= 0 then 1 else (2 + 2)))
A045886: 1 4 13 121 364 1093 3280 9841 29524 88573 265720 797161 2391484 7174453
(loop(\(x,i).((x + 1) * 2),x,2) + loop(\(x,i).(x * x),2,(2 + 2)))
A250741: 258 262 270 286 318 382 510 766 1278 2302 4350 8446 16638 33022 65790 131326
loop(\(x,i).(x * x),2,loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 2)))
A013759: 256 1048576 4294967296 17592186044416 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(2 + 2))
A002011: 4 24 120 560 2520 11088 48048 205920 875160 3695120 15519504 64899744 270415600 1123264800 4653525600 19234572480
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),x,(2 + 2)))
A214091: ~3 ~5 ~7 ~5 17 115 473 1675 5537 17635 54953 168955 515057 1561555 4717433 14217835
loop(\(x,i).loop(\(x,i).(x * x),1,((x * x) * (x div 2))),x,(2 + 2))
A139300: 4 1024 288230376151711744
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(2 + 2))
A240530: 4 8 24 80 280 1008 3696 13728 51480 194480 739024 2821728 10816624 41602400 160466400 620470080
((if ((2 + 2) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 2) + (x div (2 + 2)))
A087845: 1 1 1 2 2 3 3 3 4 4 4 4 5 5 5 5
((2 - ((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) - x) div 2)) div 2)
A193738: 1 1 1 1 2 2 1 2 3 3 1 2 3 4 4 1
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((x + 2) * 2) + 1),x,2)) div 2)
A081193: 1 9 46 204 856 3504 14176 57024 228736 916224 3667456 14674944 58710016 234860544 939483136 3758014464
(if x <= 0 then 1 else (loop(\(x,i).(((x - (i mod 2)) * 2) + 1),x,2) * 2))
A168648: 1 6 14 26 54 106 214 426 854 1706 3414 6826 13654 27306 54614 109226
(loop(\(x,i).(x * 2),x,loop(\(x,i).((x - 1) * (2 + 1)),x,2)) div 2)
A092803: 1 3 12 60 336 1968 11712 70080 420096 2519808 15117312 90700800 544198656 3265179648 19591053312 117546270720
(loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).((x * 2) + 1),x,2)) div 2)
A165148: 1 10 88 736 6016 48640 391168 3137536 25133056 201195520 1610088448 12882804736 103070826496 824600166400 6596935548928 52776021262336
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((2 + 1) * x) - 1),x,2) + 2))
A154407: 4 14 64 344 1984 11744 70144 420224 2520064 15117824 90701824 544200704 3265183744 19591061504 117546287104 705277558784
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) - 1),x,2)) div 2)
A090040: 1 5 28 164 976 5840 35008 209984 1259776 7558400 45349888 272098304 1632587776 9795522560 58773127168 352638746624
loop(\(x,i).(i * x),x,((((2 + 2) mod (if x <= 0 then 1 else x)) mod 2) + 2))
A052628: 2 2 4 18 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
(loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((i + x) + 1),x,2)) div 2)
A084264: 1 2 7 22 64 176 464 1184 2944 7168 17152 40448 94208 217088 495616 1122304
(loop(\(x,i).((i + 1) * x),x,loop(\(x,i).((i + x) + 1),x,2)) div 2)
A284816: 1 4 21 132 960 7920 73080 745920 8346240 101606400 1337212800 18920563200 286442956800 4620449433600 79114299264000 1433211107328000
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).((x + 1) * 2),x,2)) div 2)
A128865: 4 108 1372 13500 119164 1000188 8193532 66325500 533731324 4282396668 34309431292 274676629500 2198218047484 17588965015548 140724603846652 1125848368021500
(loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((x + 1) * 2),x,2)) div 2)
A267774: 1 6 29 123 503 2031 8159 32703 130943 524031 2096639 8387583 33552383 134213631 536862719 2147467263
(loop(\(x,i).((x - i) * 2),x,loop(\(x,i).((x + 1) * 2),x,2)) * 2)
A250162: 4 20 96 436 1880 7836 32032 129572 521256 2091052 8376368 33529908 134168632 536772668 2147287104 8589541444
(if (x - 1) <= 0 then (x + 1) else (loop(\(x,i).((x * 2) * 2),x,2) - 2))
A267851: 1 2 30 126 510 2046 8190 32766 131070 524286 2097150 8388606 33554430 134217726 536870910 2147483646
(loop(\(x,i).((2 - x) * 2),x,loop(\(x,i).((1 - x) * 2),x,2)) - 2)
A279260: 0 6 18 90 330 1386 5418 21930 87210 349866 1397418 5593770 22366890 89483946 357903018 1431677610
(loop(\(x,i).(x * 2),x,loop(\(x,i).((i + x) + (x + 2)),x,2)) div 2)
A085354: 1 7 36 164 704 2928 11968 48448 195072 783104 3138560 12567552 50298880 201256960 805158912 3220914176
(loop(\(x,i).(((x * x) - 1) * x),1,loop(\(x,i).(x * 2),x,2)) * 2)
A059155: 12 120 1008 8160 65472 524160 4194048 33553920 268434432 2147481600 17179865088 137438945280 1099511611392 8796092989440 70368744112128 562949953290240
((loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,2)) * 2)
A145563: 0 4 20 76 260 844 2660 8236 25220 76684 232100 700396 2109380 6344524 19066340 57264556
(loop(\(x,i).loop(\(x,i).((x * x) * x),1,((x * x) * 2)),x,2) div 2)
A139304: 1 256 72057594037927936
loop(\(x,i).(x * 2),(((if x <= 0 then 1 else (x * 2)) * 2) * (x + 2)),2)
A139568: 32 8192 8589934592 2305843009213693952 4611686018427387903
loop(\(x,i).((x * 2) + 1),(x + 2),loop(\(x,i).(x * 2),(x + 2),2))
A171473: 35 135 527 2079 8255 32895 131327 524799 2098175 8390655 33558527 134225919 536887295 2147516415 8590000127 34359869439
(if x <= 0 then 0 else (((if (2 - x) <= 0 then 2 else 1) + 2) * ((x + 2) + 2)))
A173035: 0 15 24 28 32 36 40 44 48 52 56 60 64 68 72 76
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),(i - 1),1) - x),(x + 2),2)
A109546: 5 11 53 203 821 3275 13109 52427 209717 838859 3355445 13421771 53687093 214748363 858993461 3435973835
(x - (loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,(x - 2)) div 2))
A032953: 1 2 3 5 6 8 9 10 11 15 16 17 18 19 20 24
(if x <= 0 then 1 else (((if ((x div 2) - 2) <= 0 then 0 else 1) + (x * 2)) * 2))
A311225: 1 4 8 12 16 20 26 30 34 38 42 46 50 54 58 62
((if (x mod 2) <= 0 then (if x <= 0 then ((2 + 1) * 2) else 1) else (x * 2)) + 2)
A292529: 8 4 3 8 3
loop(\(x,i).(((x * x) * (2 + 2)) * 2),(if x <= 0 then 1 else (x * 2)),2)
A139294: 32 8192 2305843009213693952 4611686018427387903
loop(\(x,i).(i * x),(x * 2),loop(\(x,i).((x + 1) * 2),(x * 2),2))
A331839: 2 28 1488 182880 41207040 14856307200 7847004211200 5713142135500800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((x * 2) * 2))
A016812: 0 16777216 68719476736 8916100448256 281474976710656 4096000000000000 36520347436056576 232218265089212416 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((if (2 - x) <= 0 then x else 2) + x),x,(2 - (x div 2))) div 2)
A029867: 1 2 3 6 8 16 24
(if (x - 2) <= 0 then x else loop(\(x,i).(((i * 2) + 1) * x),(x div 2),2))
A126989: 0 1 2 6 30 30 210
((1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) div ((x mod 2) + 2))
A144903: 0 0 1 0 1 0 0 1 1 0 0 1 2 1 1 0
(loop(\(x,i).((x + 1) * (2 + 1)),(if x <= 0 then 1 else x),(x mod 2)) div 2)
A297444: 1 3 6 33 60 303 546 2733 4920 24603 44286 221433 398580 1992903 3587226 17936133
(loop(\(x,i).((loop(\(x,i).(x * 2),(i - 1),x) div 2) + x),x,2) * 2)
A060202: 4 6 12 36 180 1620 27540 908820 59073300 7620455700 1958457114900 1004688499943700 1029805712442292500 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(x - 2),loop(\(x,i).(x * 2),(x * x),2)) * 2)
A285634: 4 8 64 2097152 4611686018427387903
((loop(\(x,i).(x * x),(x - 1),2) + loop(\(x,i).(x * x),x,2)) div 2)
A055708: 2 3 10 136 32896 2147516416
(loop(\(x,i).(loop(\(x,i).(0 - x),(i mod (2 + 1)),i) + x),x,2) - 2)
A267313: 0 ~1 1 4 0 5 11 4 12 21 11 22 34 21 35 50
loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),(x + 1),((0 - x) * 2))
A057039: 2 3 1 3 1 4 2 6 4 2 7 5 3 1 7 5
loop(\(x,i).((if ((i + 2) mod ((x mod 2) + 2)) <= 0 then x else 1) + 1),x,2)
A308050: 2 2 3 2 3 2 3 4 5 2 3 2 3 4 5 2
(if x <= 0 then 1 else ((loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x) + 2))
A026440: 1 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20
(if x <= 0 then 1 else ((loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x) * 2))
A231407: 1 4 6
A210939: 1 4 6 8 10 12 14 16 18 20 22 24 28 30 32 36
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).((x - 2) * (2 + 1)),x,2))
A072674: 0 4 14 40 110 304 854 2440 7070 20704 61094 181240 539630 1610704 4815734 14414440
loop(\(x,i).(x * x),1,loop(\(x,i).((i - x) * x),((2 + 1) * x),2))
A058460: 4 7744 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((x * 2) + 1),x,2))
A091344: 0 1 7 31 115 391 1267 3991 12355 37831 115027 348151 1050595 3164071 9516787 28599511
(((if (x mod 2) <= 0 then (if x <= 0 then (2 + 1) else (x div 2)) else 1) + x) + 2)
A069214: 5 4 5 6 8 8 11 10 14 12 17 14 20 16 23 18
(loop(\(x,i).((if (x - 1) <= 0 then x else (x * 2)) + 2),x,(1 - x)) + 2)
A228305: 3 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).(((2 + 1) * x) - 1),x,2))
A051407: 2 15 126 1107 9882 88695 797526 7175547 64573362 581140575 5230206126 47071677987 423644570442 3812799539655 34315191073926 308836705316427
loop(\(x,i).((loop(\(x,i).((x - i) * x),2,(i + 2)) + x) + 1),x,2)
A166942: 2 27 148 509 1350 3031 6056 11097 19018 30899 48060 72085 104846 148527 205648 279089
loop(\(x,i).loop(\(x,i).(x * 2),(x - 1),x),1,(((x + 1) * x) div 2))
A095351: 0 1 12 192 5120 245760 22020096 3758096384 1236950581248 791648371998720 990791918021509120 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((if (i - 2) <= 0 then 1 else x) + (i * x)),(x + 1),x) * 2)
A097971: 2 10 56 360 2640 21840 201600 2056320 22982400 279417600 3672345600 51891840000 784604620800 12640852224000 216202162176000 3912561709056000
((loop(\(x,i).((x * 2) * 2),x,2) - 1) * ((if x <= 0 then 1 else x) mod 2))
A266436: 1 7 0 127 0 2047 0 32767 0 524287 0 8388607 0 134217727 0 2147483647
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) - ((if x <= 0 then 1 else x) mod 2))
A080925: 0 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453
(loop(\(x,i).(1 - x),x,(loop(\(x,i).(1 - (i * x)),x,1) + x)) div 2)
A145221-A000387: 0 0 1 0 6 20 135 924 7420 66744 667485 7342280 88107426 1145396460 16035550531 240533257860
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(((x + 2) + 1) * 2),x,2))
A188530: 2 21 107 471 1967 8031 32447 130431 523007 2094591 8383487 33544191 134197247 536829951 2147401727 8589770751
loop(\(x,i).((0 - x) * 2),x,loop(\(x,i).(0 - ((x + 1) * 2)),x,2))
A110953: 2 12 40 176 672 2752 10880 43776 174592 699392 2795520 11186176 44736512 178962432 715816960 2863333376
loop(\(x,i).((x + 2) * i),(2 + 2),loop(\(x,i).((x + 1) * 2),x,2))
A305062: 176 272 464 848 1616 3152 6224 12368 24656 49232 98384 196688 393296 786512 1572944 3145808
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((x + 1) * 2),x,2))
A260217: 0 0 4 24 100 360 1204 3864 12100 37320 114004 346104 1046500 3155880 9500404 28566744
(loop(\(x,i).(((if (x mod 2) <= 0 then 1 else x) * x) * (x + 1)),2,x) div 2)
A171104: 0 3 21 666
(compr(\x.((loop(\(x,i).loop(\(x,i).(i - x),x,x),x,x) + 1) mod 2),x) * 2)
A343501: 4 6 14 16 20 22 24 30 36 38 46 52 54 56 62 64
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 2 else 1) + ((x * 2) * 2)),x,2)
A037553: 2 9 37 150 601 2405 9622 38489 153957 615830 2463321 9853285 39413142 157652569 630610277 2522441110
loop(\(x,i).(x * x),1,loop(\(x,i).((x * 2) - ((x div 2) mod 2)),x,2))
A262753: 4 9 25 100 361 1369 5476 21609 85849 343396 1371241 5480281 21921124 87665769 350625625 1402502500
loop(\(x,i).(x * x),1,loop(\(x,i).((x * 2) - ((i div 2) mod 2)),x,2))
A262268: 4 16 49 169 676 2704 10609 42025 168100 672400 2686321 10738729 42954916 171819664 687226225 2748800041
(loop(\(x,i).(i - (if (x mod ((i * 2) + 1)) <= 0 then 0 else x)),2,x) * 2)
A329726-A260300-A182291-A071294-A060684: 2 4 6 2 10 12 2 16 18 2 22 4 2 28 30 2
loop(\(x,i).(x * x),1,loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,2))
A060870: 4 144 3844 97344 2439844 61027344 1525839844 38146777344 953673339844 23841853027344 596046423339844 14901161071777344 372529029235839844 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((if (x - (2 + 2)) <= 0 then 1 else x) div 2) + x) * 2))
A049015: 1 2 4 6 8 14 18
(loop(\(x,i).loop(\(x,i).(((x * 2) + 1) * 2),i,1),(x - 2),x) * 2)
A075876: 0 2 4 12 52 212 852 3412 13652 54612 218452 873812 3495252 13981012
loop(\(x,i).(((x * x) + 1) * (x - 1)),1,loop(\(x,i).(x * 2),x,2))
A145641: 5 51 455 3855 31775 258111 2080895 16711935 133956095 1072694271 8585742335 68702703615 549688713215 4397778092031 35183298379775 281470681808895
((if (2 - x) <= 0 then (x mod (0 - 2)) else 1) mod loop(\(x,i).(x * 2),x,2))
A277929: 1 1 0 15 0 63 0 255 0 1023 0 4095 0 16383 0 65535
loop(\(x,i).((x - (x mod (2 + 1))) * x),1,loop(\(x,i).(x * 2),x,2))
A242026: 0 12 48 240 960 4032 16128 65280 261120 1047552 4190208 16773120 67092480 268419072 1073676288 4294901760
(loop(\(x,i).(((x + 2) * 2) + x),x,1) + loop(\(x,i).(x * 2),x,2))
A171270: 3 11 33 95 273 791 2313 6815 20193 60071 179193 535535 1602513 4799351 14381673 43112255
(loop(\(x,i).((2 + 2) * (x - 1)),x,2) + loop(\(x,i).(x * 2),x,2))
A060919: 4 8 20 60 204 748 2860 11180 44204 175788 701100 2800300 11193004 44755628 178989740 715893420
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 2 else 1) + x) + (x * 2)),x,2)
A037552: 2 7 22 68 205 616 1850 5551 16654 49964 149893 449680 1349042 4047127 12141382 36424148
loop(\(x,i).((loop(\(x,i).(x * 2),(i - 2),1) + x) + (x * 2)),x,2)
A291012: 2 7 22 68 208 632 1912 5768 17368 52232 156952 471368 1415128 4247432 12746392 38247368
(2 - (if (x - 2) <= 0 then 1 else (loop(\(x,i).((i - x) * x),2,x) div 2)))
A138081: 1 1 1 26 86
loop(\(x,i).((2 + 1) * x),(x + 1),loop(\(x,i).((i + x) + 2),x,2))
A288835: 6 45 243 1134 4860 19683 76545 288684 1062882 3838185 13640319 47829690 165809592 569173311 1937102445 6543101592
(loop(\(x,i).(if (x div 2) <= 0 then (x + 2) else (0 - 1)),x,0) mod (x + 2))
A283878: 0 2 3 1 3 6 1 3 9 1 3 12 1 3 15 1
(loop(\(x,i).loop(\(x,i).(x * 2),x,((i div 2) + 2)),x,0) * (x + 2))
A173011: 0 6 48 61440
(if x <= 0 then 1 else (loop(\(x,i).((i mod 2) + (x * 2)),x,0) * (x + 2)))
A026970: 1 3 8 25 60 147 336 765 1700 3751 8184 17745 38220 81915 174752 371365
(((loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + x) + 1) * (x + 2))
A253608: 2 9 12 35 42 49 56 135 150 165 180 195 210 225 240 527
loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),(x - 2),(x + 2))
A266620: 2 3 4 5 7 7 11 11 11 11 13 13 17 17 17 17
loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),(x div 2),(x + 2))
A151799-A007917: 2 3 3 5 5 7 7 7 7 11 11 13 13 13 13 17
loop(\(x,i).((x * 2) - (if (x mod (i + 1)) <= 0 then 1 else x)),x,(x + 2))
A201363: 2 3 7
A050921-A034694: 2 3 7 5 11 7 29 17 19 11 23 13 53 29 31 17
(2 - loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else x)),x,(x + 2)))
A161872: 0 2 0 2 2 2 2 2 2 2 2 2 2 2 3 2
(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - (x + 2)))
A004202: 2 5 6 10 11 12 17 18 19 20 26 27 28 29 30 37
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,(x + 2))
A006470: 2 15 60 175 420 882 1680 2970 4950 7865 12012 17745 25480 35700 48960 65892
loop(\(x,i).(x - ((if (x - 1) <= 0 then x else 2) * 2)),(x div 2),(x - 2))
A118825: ~2 ~1 0 ~1 2 1 0 1 ~2 ~1 0 ~1 2 1 0 1
loop(\(x,i).((if (x - 2) <= 0 then (2 + 1) else x) + x),x,(1 - (x * 2)))
A067319: 1 2 3 4 5 6 8 10 12
A253789-A029747: 1 2 3 4 5 6 8 10 12 16 20 24 32 40 48 64
loop(\(x,i).((x * x) - loop(\(x,i).((i + 2) * x),i,2)),2,(x * 2))
A163323: 12 ~20 76 876 3340 8812 19020 36076 62476 101100 155212 228460 324876 448876 605260 799212
loop(\(x,i).(i - (if (x mod ((i * 2) + 1)) <= 0 then 0 else x)),2,(x * 2))
A214062: 1 3 5 1 9 11 1 15 2 1 21 23 1 2 29 1
((if x <= 0 then 0 else ((loop(\(x,i).(i * x),x,2) + x) + 2)) + (x * 2))
A076852: 0 7 12 23 62
loop(\(x,i).(x - (if ((x * 2) mod (i + 1)) <= 0 then 2 else 1)),x,(x * 2))
A047949: 0 0 1 2 1 4 5 4 7 8 7 10 9 8 13 14
(0 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)))
A061579: 0 2 1 5 4 3 9 8 7 6 14 13 12 11 10 20
(1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)))
A194910-A194909-A038722: 1 3 2 6 5 4 10 9 8 7 15 14 13 12 11 21
((if x <= 0 then 1 else (if (x - 2) <= 0 then 2 else ((x div 2) + x))) + (x * 2))
A231407: 1 4 6
A058917: 1 4 6 10 14 17
(x - loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else x)),x,(x * 2)))
A113523: 0 0 0 4 4 6 6 8 9 10 10 12 12 14 15 16
loop(\(x,i).(if (x - 2) <= 0 then (x + 1) else ((x * x) * x)),x,(x div 2))
A014222: 0 1 3 27 7625597484987
((x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)) div (2 - (x mod 2)))
A115379: 0 1 0 3 0 3 2 7 0 3 2 7 4 11 6 15
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),1) - x),(x div 2),(x mod 2))
A133684: 0 1 1 0 1 2 3 2 5 6 11 10 21 22 43 42
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((2 + 1) * x),x,2))
A002250: ~1 ~2 ~2 10 94 538 2638 12010 52414 222778 930478 3840010 15714334 63920218 258869518 1045044010
loop(\(x,i).(loop(\(x,i).(((x mod (2 + 2)) + 2) * x),i,1) * x),x,2)
A218151: 2 6 90 6750 2531250 4746093750 44494628906250 2085685729980468750 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (x - (loop(\(x,i).(x * x),(i - 1),2) * x))),x,2)
A162647: 2 3 10 151 38506 2523490711 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * (2 + 2)),i,(2 + 2)) * x),x,2)
A209248: 2 128 2097152 2251799813685248 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((loop(\(x,i).((x + 1) * x),2,2) * x) * x) + 2))
A010023: 1 44 170 380 674 1052 1514 2060 2690 3404 4202 5084 6050 7100 8234 9452
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,x) div 2)
A051133: 0 3 30 210 1260 6930 36036 180180 875160 4157010 19399380 89237148 405623400 1825305300 8143669800 36064823400
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),(i * 2),2) * x),x,2)
A232998: 2 144 373248 34828517376 116997070082015232 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(i * x),((((2 + 2) + 1) * i) + 2),x),x,2)
A294324: 2 10080 4828336128000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((i * 2) + 1) * x) * 2),i,2) + x),x,2)
A111424: 2 14 134 1814 32054 697334 17994614 536913014 18180138614 688622711414 28847210769014 1324142261418614 66088894793898614 3563385531547818614 4611686018427387903 4611686018427387903
((if ((if x <= 0 then 1 else x) mod 2) <= 0 then 1 else (2 + 2)) + ((x * x) * 2))
A137253: 4 6 9 22 33
((x - loop(\(x,i).i,loop(\(x,i).(x div ((x mod 2) + 1)),x,x),x)) * 2)
A318877: 0 0 0 0 0 6 0 0 0 10 0 18 0 14 0 0
((if x <= 0 then 1 else (((x mod 2) + x) * 2)) * loop(\(x,i).(x * x),x,2))
A094505: 2 16 64 2048
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(x div 2),i) + (x * x)),x,2)
A122524: 2 7 103 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x div 2) + x),(x + 1),loop(\(x,i).((x * x) * x),x,2))
A131489: 3 18 1728 679477248
loop(\(x,i).(loop(\(x,i).((i * x) + 1),(i + 1),1) + (i * x)),x,2)
A144495: 2 7 30 155 946 6687 53822 486355 4877250 53759351 646098622 8409146187 117836551730 1768850337295 28318532194206 481652022466307
(loop(\(x,i).(((i * 2) - 1) * x),x,1) div loop(\(x,i).(i * x),x,2))
A024504: 0 0 0 1 2 3 7 13 25 47 90 172 330 634 1224 2366
((loop(\(x,i).(x * 2),x,1) - (x mod 2)) mod loop(\(x,i).(i * x),x,2))
A286773: 1 1 0 7 16 31 64 127 256 511 1024 2047 4096 8191 16384 32767
((if x <= 0 then 1 else (if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else 0)) + x)
A257174: 1 1 2 4 4 5 8 7 8 12 10 11 16 13 14 20
(loop(\(x,i).((x * x) + (2 + 1)),x,(if (x - 2) <= 0 then 1 else 0)) + x)
A306589: 1 5 21 150
(loop(\(x,i).((if x <= 0 then (i div (2 - (i mod 2))) else x) - 1),x,0) + x)
A192225: 0 1 2 5
A171438: 0 1 2 5 5 5 8 8 8 17 17 17 17 17 17 17
(loop(\(x,i).loop(\(x,i).((((i * 2) + 1) * x) * x),x,2),x,0) - x)
A111416: 0 1 718 4611686018427387903
compr(\x.((x + 1) mod (loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1)),x)
A089633: 0 1 2 3 5 6 7 11 13 14 15 23 27 29 30 31
(if x <= 0 then 1 else (loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) * x))
A114806: 1 1 2 3 4 5 6 7 8 9 10 22 36 52 70 90
((if x <= 0 then 1 else 2) div (if ((x mod ((2 + 2) * 2)) - 1) <= 0 then 1 else x))
A173677: 1 2 1 0 0 0 0 0 2 2 0 0 0 0 0 0
(loop(\(x,i).i,((x div 2) - (if (x mod (2 + 2)) <= 0 then 2 else 1)),1) + x)
A324578-A295585-A286608: 1 2 3 4 5 6 8 9 10 12 14 15 16 18 20 21
(loop(\(x,i).((if (i - 2) <= 0 then 1 else i) + (x * 2)),(x - 1),1) + x)
A172411: 1 2 5 10
A267880: 1 2 5 10 21 43 87 175 351 703 1407 2815 5631 11263 22527 45055
(if x <= 0 then 1 else (loop(\(x,i).i,(x - (((2 + 2) + 1) * 2)),1) * x))
A288327: 1 1 2 3 4 5 6 7 8 9 10 11 24 39 56 75
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((((2 + 1) * 2) + 1) * x)))
A281200: 1 14 56 168 448 1120 2688 6272 14336 32256 71680 157696 344064 745472 1605632 3440640
loop(\(x,i).(x * x),1,loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),x))
A118881: 0 1 4 9 16 25 36 49 64 81 1 4 9 16 25 36
((if x <= 0 then 1 else (((if (2 - x) <= 0 then x else 0) + 2) * (2 + 1))) + x)
A131439: 1 7 14 18 22 26 30 34 38 42 46 50 54 58 62 66
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((2 + 1) * x))
A016776: 0 531441 2176782336 282429536481 8916100448256 129746337890625 1156831381426176 7355827511386641 36520347436056576 150094635296999121 531441000000000000 1667889514952984961 4611686018427387903
loop(\(x,i).(((x * x) div (if i <= 0 then 1 else (i * i))) + x),(2 + 1),x)
A061318: 0 4 40 304 1720 7480 26404 79240 209304 499140 1095160 2242504 4332640 7966504 14036260 23829040
(loop(\(x,i).(loop(\(x,i).((i * x) + 1),x,1) + 2),(x - 2),1) + x)
A333132: 1 2 3 7 71 4611686018427387903
(loop(\(x,i).(loop(\(x,i).((x * x) * x),i,2) + x),(x - 2),1) * x)
A327128: 0 1 2 27 2084
(loop(\(x,i).((i * i) * x),(x div 2),1) * (if (x mod 2) <= 0 then 1 else x))
A062870: 1 1 1 3 4 20 36 252 576 5184 14400 158400 518400 6739200 25401600 381024000
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) - x),(x - 1),(1 - x))
A092897: 1 0 4 4 24 56 188 540 1648 4912 14772 44276 132872 398568 1195756 3587212
loop(\(x,i).((if (x - 1) <= 0 then 2 else ((x * 2) - 1)) + x),x,(1 - x))
A246360: 1 2 3 5 8 14 23 41 68 122 203 365 608 1094 1823 3281
(((loop(\(x,i).(if x <= 0 then i else (x - 1)),(x - 2),0) + x) + 1) + x)
A097911: 1 3 5 8
A185456: 1 3 5 8 9 14 15 16 17 26 27 28 29 30 31 32
(if x <= 0 then 1 else ((loop(\(x,i).((x * 2) - 1),(x - 2),x) + 1) * x))
A181490: 1 2 6 18
A002999: 1 2 6 18 56 170 492 1358 3600 9234 23060 56342 135192 319514 745500 1720350
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) + x)
A134758: 1 3 8 23 74 257 930 3439 12878 48629 184766 705443 2704168 10400613 40116614 155117535
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) - x)
A045992: 1 1 4 17 66 247 918 3425 12862 48611 184746 705421 2704144 10400587 40116586 155117505
(if x <= 0 then 1 else compr(\x.(loop(\(x,i).((1 - x) * 2),x,0) mod (x + 1)),x))
A156037: 1 1 4 6 10 12 16 18 22 28 30 36 40 42 46 52
(2 - loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 1)),(x + 1),x))
A161758: 4 4 5 4 5 4 5 6 7 4 5 4 5 6 7 4
loop(\(x,i).((if (x - 1) <= 0 then 1 else ((i + 2) + 1)) + x),(x + 1),x)
A183897: 1 7 17 25 34 44 55 67 80 94 109 125 142 160 179 199
loop(\(x,i).loop(\(x,i).(x * x),1,((i * i) * (x + 1))),(x - 1),x)
A323337: 0 1 9 4624
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x - 1),x)
A037965: 0 1 4 18 80 350 1512 6468 27456 115830 486200 2032316 8465184 35154028 145608400 601749000
loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),(x - 1),x)
A121636: 0 1 5 23 122 754 5364 43308 391824 3929616 43287840 519711840 6755460480 94527008640 1416783432960 22646604153600
(loop(\(x,i).((if (i - 2) <= 0 then 1 else x) + (x * 2)),x,(x - 1)) * x)
A086951: 0 1 14 99 540 2565 11178 45927 180792 688905 2558790 9310059 33303636 117448461 409209570 1410975855
(loop(\(x,i).(((2 + 1) * i) + x),(x div 2),1) div (if x <= 0 then 1 else x))
A053277: 1 1 2 1 2 2 3 2 3 3 4 4 5 4 6 5
(loop(\(x,i).((x * x) * (2 + 1)),(2 + 1),x) div (if x <= 0 then 1 else x))
A016771: 0 2187 279936 4782969 35831808 170859375 612220032 1801088541 4586471424 10460353203 21870000000 42618442977 78364164096 137231006679 230539333248 373669453125
(loop(\(x,i).((x * x) * (2 + 2)),(2 + 1),x) div (if x <= 0 then 1 else x))
A016807: 0 16384 2097152 35831808 268435456 1280000000 4586471424 13492928512 34359738368 78364164096 163840000000 319277809664 587068342272 1028071702528 1727094849536 2799360000000
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),x,1) * x)
A121723: 0 3 22 150 1096 8820 78408 767088 8212608 95657760 1205438400 16350871680 237633108480 3685053415680 60748282022400 1061014235904000
(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(x div 2),2) + x),x,1) - x)
A077746: 1 2 7 168 4611686018427387903
(loop(\(x,i).((loop(\(x,i).((i + x) * x),2,i) * 2) + x),x,1) + x)
A061803: 1 18 115 452 1333 3254 6951 13448 24105 40666 65307 100684 149981 216958 305999 422160
loop(\(x,i).(x * x),1,((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x))
A052041: 1 4 9 16 25 36 49 64 81 121 144 169 196 225 256 289
loop(\(x,i).((x + 2) * x),1,((if (x - (2 + 2)) <= 0 then 1 else 2) + x))
A066079: 3 8 15 24 35 63 80 99 120 143 168 195 224 255
loop(\(x,i).(((((if x <= 0 then 2 else 0) + 2) * 2) * 2) div (x + 1)),2,x)
A230875: 0 1 2 2 4 4 4 4 16 16 16 16 16 16 16 16
loop(\(x,i).(((if (i mod 2) <= 0 then 1 else x) + (x * 2)) * (x + 1)),2,x)
A338795: 1 91 703 2701 7381 16471 32131 56953 93961 146611 218791 314821 439453 597871 795691 1038961
(if (x mod 2) <= 0 then 1 else (if ((x div 2) mod 2) <= 0 then ((x + 1) * 2) else x))
A123251: 1 4 1 3 1 12 1 7 1 20 1 11 1 28 1 15
loop(\(x,i).(if (x - 2) <= 0 then 0 else (x mod (((2 + 2) + 1) * 2))),2,x)
A176407: 0 0 0 3 4 5 6 7 8 9 0 0 0 3 4 5
(x - loop(\(x,i).((x - (((if x <= 0 then 2 else x) div 2) mod 2)) div 2),2,x))
A132351: 1 2 3 3 4 5 6 6 6 7 8 9 10 11 12 12
(x - loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),(2 + 2),x))
A102678: 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4
loop(\(x,i).(((x * x) div (if i <= 0 then 1 else (i * i))) + x),(2 + 2),x)
A061320: 0 5 140 6080 186620 3504380 43599605 392515340 2738219580 15571795365 74962059260 314303754380 1173239918240 3966582090380
loop(\(x,i).(i * x),(x - 1),loop(\(x,i).(((x - 1) * x) div 2),2,x))
A317487: 0 0 0 6 90 1080 12600 151200 1905120 25401600 359251200 5388768000 85621536000 1438441804800 25499650176000 475993469952000
(loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),x,i) - 1),x,2) + x)
A201363: 2 3 7
A048979: 2 3 7 2837
loop(\(x,i).loop(\(x,i).i,(x mod (((x div 2) div (2 + 1)) + 2)),x),2,x)
A257022: 0 1 2 1 4 1 6 1 2 9 1 2 12 1 2 1
(if x <= 0 then 1 else ((if (x mod (2 + 2)) <= 0 then ((x + 2) * x) else 2) * x))
A066719: 1 2 4 6 96
((loop(\(x,i).((if (i - x) <= 0 then i else 0) - x),(x * 2),x) * 2) + x)
A094765: 0 1 4 7 4 7 10 13 16 9 12 15 18 21 24 27
loop(\(x,i).((x * 2) - (if (x mod (i + 1)) <= 0 then i else 0)),(x - 2),x)
A144530: 0 1 2 6 14 37 88
compr(\x.(loop(\(x,i).((1 - x) * 2),x,1) mod (if x <= 0 then 1 else (x * 2))),x)
A171577: 0 1 5 7 11 13 17 19 23 29 31 37 41 43 47 53
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x)
A010376: 0 1 3 4 9 10 12
A005836: 0 1 3 4 9 10 12 13 27 28 30 31 36 37 39 40
compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x)
A047845: 0 4 7 10 12 13 16 17 19 22 24 25 27 28 31 32
((if ((x div 2) - 2) <= 0 then ((if x <= 0 then 1 else 2) + 1) else (x div 2)) + x)
A030771: 2 4 5 6 7 8 9 10 12 13 15 16 18 19 21 22
((loop(\(x,i).(if (x mod 2) <= 0 then (x + 2) else (x div 2)),x,x) div 2) - x)
A191362: 0 ~1 1 ~2 2 0 3 ~3 4 1 5 ~1 6 2 7 ~4
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024045: 1 3 ~496 ~19619 ~261888 ~1952101 ~10073600 ~40337223 ~134152192 ~387158345 ~998951424 ~2353753387 ~5143003136 ~10537390509 ~20392611328 ~37369617551
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024032: 1 2 ~503 ~19656 ~262063 ~1952882 ~10076967 ~40351420 ~134211167 ~387400806 ~999940951 ~2357770544 ~5159248911 ~10602905050 ~20656263815 ~38429010468
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).((x * x) * x),2,x))
A198478: 0 9 41472 14348907 1719926784 115330078125 5355700839936 193010051319183 5777633090469888 150094635296999121 3486784401000000000 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(if (x mod 2) <= 0 then (2 - x) else (x div 2)),(2 + 1),x),x)
A187905-A187228-A121538: 1 2 4 6 7 8 10 11 12 14 16 18 19 20 22 24
loop(\(x,i).((x div (if i <= 0 then 1 else (i * 2))) + x),((2 + 1) * x),x)
A007952: 0 1 3 5 9 11 17 21 29 33 41 47 57 59 77 81
(1 - loop(\(x,i).(x - (if x <= 0 then 0 else (i - (i div (2 + 1))))),x,x))
A205696: 1 1 2 1 2 1 3 2 1 4 3 2 1 4 3 2
((x * 2) - loop(\(x,i).(x - ((if x <= 0 then 1 else (i * 2)) - 1)),x,x))
A165775: 0 2 6 7 8 14 15 16 17 18 26 27 28 29 30 31
loop(\(x,i).(x - (loop(\(x,i).(x * 2),(x div 2),2) mod (x + 1))),x,x)
A218403: 0 1 1 3 1 3 1 7 3 7 1 7 1 7 7 15
loop(\(x,i).(x * 2),(x - 2),(loop(\(x,i).(x * 2),(x - 1),x) - x))
A308700: 0 0 2 18 112 600 2976 14112 65024 293760 1308160 5761536 25153536 109025280 469704704 2013143040
compr(\x.(loop(\(x,i).(x * 2),x,1) mod (if (x mod (2 + 1)) <= 0 then 2 else x)),x)
A231404: 1 2 3 4 6 8 9 12 15 16 18 21 24 27 30 32
(loop(\(x,i).((loop(\(x,i).(i * i),(x - 2),x) - 1) * x),2,x) * x)
A327113: 0 0 4 0 4752
(loop(\(x,i).(x - loop(\(x,i).i,(((x div 2) - 2) - 2),x)),2,x) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247808: 0 1 2 3 4 5 6 7 8 9 10 20 21 23 24 25
compr(\x.loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 1 else x)),(x - 2),x),x)
A160656: 0 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53
(0 - loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x))
A093049: 0 0 0 2 1 4 4 6 4 8 8 10 9 12 12 14
(loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024020: 1 1 ~1020 ~59041 ~1048560 ~9765593 ~60466112 ~282475121 ~1073741568 ~3486783889 ~9999998976 ~25937422553 ~61917360128 ~137858483657 ~289254638592 ~576650357857
(loop(\(x,i).(i * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A196739: 1 0 ~1022 ~59043 ~1048552 ~9765505 ~60465456 ~282470209 ~1073701504 ~3486421521 ~9996371200 ~25897507801 ~61438362624 ~131631471049 ~202076363776 731023977375
(loop(\(x,i).((x * x) * x),2,(if (x - 2) <= 0 then 1 else 2)) + (x * x))
A133378: 1 2 5 521
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024044: 1 3 ~240 ~6497 ~65280 ~389601 ~1675520 ~5748417 ~16711680 ~42784577 ~98951424 ~210164577 ~413204480 ~748621857 ~1207353600 ~1489148801
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024031: 1 2 ~247 ~6534 ~65455 ~390382 ~1678887 ~5762614 ~16770655 ~43027038 ~99940951 ~214181734 ~429450255 ~814136398 ~1471006087 ~2548541718
loop(\(x,i).(((x * 2) * 2) * 2),x,loop(\(x,i).(x * x),2,(x * x)))
A198404: 0 8 16384 3359232 268435456 12800000000 440301256704 12089663946752 281474976710656 5777633090469888 107374182400000000 1841328767004311552 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(x * x))
A002736: 0 2 24 180 1120 6300 33264 168168 823680 3938220 18475600 85357272 389398464 1757701400 7862853600 34901442000
compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x)
A067076: 0 1 2 4 5 7 8 10 13 14 17 19 20 22 25 28
compr(\x.loop(\(x,i).(x - (if ((x + 2) mod (i + 2)) <= 0 then 0 else 1)),x,x),x)
A173064: 0 2 6 8 12 14 18 24 26 32 36 38 42 48 54 56
(loop(\(x,i).(x - (if x <= 0 then 1 else (((i div 2) * 2) + 1))),x,x) + x)
A141455: 0 1 0 1 2 1 2 3 0 1 2 3 4 1 2 3
loop(\(x,i).((((if (2 - i) <= 0 then x else 1) + x) * (2 + 1)) + x),x,x)
A229281: 0 7 77 735 6517 55223 453789 3647119 28824005 224827239 1735205101 13276336703 100843663893 761270796055 5716451614013 42728053589487
loop(\(x,i).((((if (2 - i) <= 0 then x else 1) + x) * (2 + 2)) + x),x,x)
A229283: 0 9 126 1539 17496 190269 2007666 20726199 210450636 2109289329 20920706406 205720279659 2008387814976 19487638017189 188098071296346 1807266603941919
((loop(\(x,i).((2 + 1) * x),x,x) - loop(\(x,i).(x * 2),x,x)) - x)
A152692: 0 0 8 54 256 1050 3984 14406 50432 172530 580240 1926078 6328128 20619690 66732176 214742070
compr(\x.(1 - loop(\(x,i).(if (x mod (2 + 2)) <= 0 then x else (x div 2)),x,x)),x)
A004753: 4 8 9 12 16 17 18 19 20 24 25 28 32 33 34 35
((x div (if x <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,x))) + x)
A285326: 0 2 4 4 8 6 8 8 16 10 12 12 16 14 16 16
(loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x - 2),(x * x)) * x)
A282462: 0 1 8 27 4 125 6 343 8 9 10 1331 12 2197 14 15
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024022: 1 1 ~4092 ~531433 ~16777200 ~244140593 ~2176782272 ~13841287073 ~68719476480 ~282429535969 ~999999998976 ~3138428374673 ~8916100444160 ~23298085114289 ~56693912358912 ~129746337857857
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) - x)
A091311: 0 1 4 5 14 15 18 19 46 47 50 51 60 61 64 65
compr(\x.(loop(\(x,i).(x - ((if x <= 0 then 0 else (i * i)) - 1)),x,x) + x),x)
A214489: 0 4 8 9 10 11 16 17 18 19 20 21 22 23 24 25
((if (x mod 2) <= 0 then (if (x - 2) <= 0 then 1 else ((x * x) * x)) else x) + x)
A124649: 1 2 3 6 68
(if ((x mod (((x div ((2 + 2) + 1)) * 2) + 1)) - 1) <= 0 then 1 else 0)
A221641: 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1
(if ((x mod ((((x mod (2 + 1)) + 2) * 2) + 1)) - 1) <= 0 then 1 else 0)
A279279: 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1
(if (((x * 2) mod ((((x div 2) + 2) + 2) + 1)) - 1) <= 0 then 1 else 0)
A116860: 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0
(if (x mod (((1 - (x div (2 + 1))) mod (2 + 1)) + 1)) <= 0 then 1 else 0)
A267358: 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1
(if ((x * x) mod ((((x + 1) div 2) * (2 + 1)) + 1)) <= 0 then 1 else 0)
A186718: 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1
(if ((x + 1) mod ((((x div 2) + 2) div (2 + 1)) + 1)) <= 0 then 1 else 0)
A331281-A331168: 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1
(if (x mod ((((2 + 2) mod (x + 2)) * (2 + 1)) + 1)) <= 0 then 1 else 0)
A323513-A186717: 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0
(if ((x mod ((2 + 2) + 1)) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else 0)
A145361-A011748: 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1
(if ((((x * x) * x) + 2) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else 0)
A192687: 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0
(if (x mod ((((x - 2) * 2) mod ((x + 2) + 1)) + 1)) <= 0 then 1 else 0)
A345197: 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0
(if (x mod (((x - (2 + 2)) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 0)
A266843: 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0
(if (x mod ((((2 + 1) * x) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 0)
A321759-A266974-A075437: 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0
(if (x mod ((((x div 2) + 1) div ((x mod 2) + 1)) + 1)) <= 0 then 1 else 0)
A316480: 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1
(if ((x + 1) mod (((x div 2) div ((x mod 2) + 1)) + 1)) <= 0 then 1 else 0)
A344438-A341629-A326956-A322860-A322585-A322583: 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1
(if (x mod (((((x mod 2) + 2) + 1) mod (x + 1)) + 1)) <= 0 then 1 else 0)
A194679: 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1
(if (x mod ((((x div ((2 + 2) + 1)) + 1) * 2) + 1)) <= 0 then 1 else 0)
A214264: 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0
(if ((x + 1) mod (((x mod ((2 + 2) + 1)) div 2) + 1)) <= 0 then 1 else 0)
A103842: 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1
(if ((x - (2 + 1)) mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 1 else 0)
A295896: 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1
(if ((x div 2) mod ((((2 - (x mod 2)) + 1) * 2) + 1)) <= 0 then 1 else 0)
A186742: 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0
(if ((x * 2) mod ((2 - (x div ((0 - 2) - 2))) + 1)) <= 0 then 1 else 0)
A321016-A185907: 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0
(if (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1)) <= 0 then 1 else 0)
A319734-A286934: 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1
(if ((x * x) mod ((((x div (2 + 1)) + 2) * 2) + 1)) <= 0 then 1 else 0)
A341022: 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1
(if (x mod ((((x + 1) mod ((2 + 2) * 2)) * 2) + 1)) <= 0 then 1 else 0)
A341023: 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1
(if ((x * x) mod (((((x mod 2) + 2) * 2) * 2) + 1)) <= 0 then 1 else 0)
A109708: 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0
(if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 0)
A233427-A176508-A131219-A103451: 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1
(if (x mod (((2 + 1) mod ((x div (2 + 2)) + 2)) + 1)) <= 0 then 1 else 0)
A267179-A244527: 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0
(if (x mod (((1 - x) mod (((x div 2) + 2) + 2)) + 1)) <= 0 then 1 else 0)
A260595: 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0
(if (x mod (((2 - (x mod ((x mod 2) + 2))) * 2) + 1)) <= 0 then 1 else 0)
A109702: 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1
(if (x mod ((2 + 2) - ((x + 1) div ((2 + 2) + 1)))) <= 0 then 1 else 0)
A321665: 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1
(if (x mod 2) <= 0 then ((((2 - x) div 2) div ((2 + 2) + 1)) + 1) else 0)
A016419-A016391-A016378-A014037: 1 0 1 0 0 0 0 0 0 0 0 0 0 0 ~1 0
(x - (if (x mod 2) <= 0 then (((x div 2) mod ((2 + 2) + 1)) - 1) else 0))
A106647: 1 1 2 3 3 5 4 7 5 9 11 11 12 13 13 15
(if ((x - 2) mod (2 - ((2 - x) div ((2 + 2) + 1)))) <= 0 then 1 else 0)
A134286: 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0
(if (x mod ((((x * x) + 1) mod ((x div 2) + 2)) + 1)) <= 0 then 1 else 0)
A177444: 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0
(if (x mod ((((x div (2 + 2)) - (x mod 2)) * 2) + 1)) <= 0 then 1 else 0)
A304569-A174294-A051731: 1 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1
(if ((x div ((x mod ((0 - 2) - 2)) - 1)) mod (2 + 1)) <= 0 then 1 else 0)
A025925: 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0
(if ((x - (((x + 1) div 2) div (2 + 1))) mod (2 + 1)) <= 0 then 1 else 0)
A170956-A024942: 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0
(if ((((2 - (x div 2)) * x) div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 0)
A181653: 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0
(if (x mod (((2 + 1) * 2) - ((x - 1) div (2 + 1)))) <= 0 then 1 else 0)
A344447: 1 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0
(if (x mod (2 - (x mod (((0 - 2) - 2) * (2 + 1))))) <= 0 then 1 else 0)
A058342: 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0
(if ((((1 - x) * x) div ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 0)
A266837: 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1
(if ((x - (((x div 2) + 1) mod (2 + 2))) mod (2 + 1)) <= 0 then 1 else 0)
A071981: 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1
(if ((x * 2) mod (((x - 1) mod (2 + 2)) + (2 + 1))) <= 0 then 1 else 0)
A266174: 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1
(if ((((x * x) * x) div ((x + 2) + 2)) mod (2 + 1)) <= 0 then 1 else 0)
A068427: 1 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1
(if (((((x * 2) - 1) * (x div 2)) div 2) mod (2 + 1)) <= 0 then 1 else 0)
A328802-A257402: 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0
(if ((x mod (((2 + 2) * 2) + 1)) - (x div (2 + 1))) <= 0 then 1 else 0)
A017880: 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0
(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then ((x div (2 + 1)) - 1) else 0)
A036873: 0 0 0 0 0 0 0 0 1 0 0 0 0 3 0 0
(if ((x mod (2 + 1)) - 1) <= 0 then (x - ((x div (2 + 1)) - 1)) else 0)
A117909: 1 2 0 3 4 0 5 6 0 7 8 0 9 10 0 11
(if (((x * 2) mod ((2 + 2) + 1)) - (x mod (2 + 1))) <= 0 then 1 else 0)
A025889: 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1
((x div (((2 + 1) * 2) + 1)) + (if (x mod (2 + 1)) <= 0 then 1 else 0))
A029306: 1 0 0 1 0 0 1 1 1 2 1 1 2 1 2 3
((x div (((2 + 2) * 2) + 1)) + (if (x mod (2 + 1)) <= 0 then 1 else 0))
A029322: 1 0 0 1 0 0 1 0 0 2 1 1 2 1 1 2
(((x div 2) div ((2 + 2) + 1)) + (if (x mod (2 + 1)) <= 0 then 1 else 0))
A029325: 1 0 0 1 0 0 1 0 0 1 1 1 2 1 1 2
((((x div (2 + 1)) + x) * 2) + (if (x mod (2 + 1)) <= 0 then 1 else 0))
A047465: 1 2 4 9 10 12 17 18 20 25 26 28 33 34 36 41
(if ((x - 1) mod ((((x - 2) * 2) mod (x + 2)) + 1)) <= 0 then 1 else 0)
A143466: 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0
(if (((((x * 2) * 2) * 2) + 1) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A129186: 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0
(if (((2 + 2) * (x + 1)) mod (2 - (x div (0 - 2)))) <= 0 then 1 else 0)
A324252-A307303: 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0
(if (x mod (((x * 2) mod (((2 + 1) * 2) + 1)) + 2)) <= 0 then 1 else 0)
A027356: 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0
(if ((x div 2) mod 2) <= 0 then (((x div ((2 + 2) + 1)) mod 2) + 1) else 0)
A122071: 1 1 0 0 1 2 0 0 2 2 0 0 1 1 0 0
(if (x mod (((x + 2) mod ((x div (2 + 2)) + 1)) + 2)) <= 0 then 1 else 0)
A266840: 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 1
(if (x mod 2) <= 0 then (((x mod ((x div (2 + 2)) + 1)) div 2) + 1) else 0)
A248908: 1 0 1 0 1 0 1 0 2 0 1 0 1 0 2 0
(if ((x div (((x * x) mod ((x div 2) + 2)) + 1)) - 2) <= 0 then 1 else 0)
A145379: 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0
(if (x mod (((x mod ((2 + 2) * 2)) mod (2 + 1)) + 2)) <= 0 then 1 else 0)
A025902: 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1
(if ((x * 2) mod ((2 - ((x div 2) div (2 + 1))) + 2)) <= 0 then 1 else 0)
A104606: 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 1
(if (x mod (2 + 1)) <= 0 then (1 - (x div (((2 + 1) * 2) + 1))) else 0)
A016424-A016380-A014054: 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 ~1
(if ((x div ((2 + 2) + 1)) - (x mod ((2 + 1) * 2))) <= 0 then 1 else 0)
A264034: 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
(x - ((x div (2 + 2)) - (if ((x div (2 + 1)) - 2) <= 0 then 1 else 0)))
A107079: 1 2 3 4 4 5 6 7 7 7 8 9 9 10 11 12
(if (x mod ((((2 - x) * x) mod ((x div 2) + 1)) + 2)) <= 0 then 1 else 0)
A082960: 1 0 1 1 0 0 1 0 1
A320815: 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0
(if (((x + 1) * 2) mod (2 - (x div ((0 - 2) - 2)))) <= 0 then 1 else 0)
A178471-A090626: 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0
(if (x mod (2 - ((x div 2) div ((x mod (0 - 2)) - 2)))) <= 0 then 1 else 0)
A239434: 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1
(if (2 - x) <= 0 then (((((x - 1) mod (2 + 1)) + 2) + 2) + 1) else 0)
A021152: 0 0 6 7 5 6 7 5 6 7 5 6 7 5 6 7
(if (2 - ((x - 1) mod (((x div (2 + 1)) + 2) + 2))) <= 0 then 1 else 0)
A027355: 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1
(if (x mod 2) <= 0 then ((((((x div 2) - 1) div 2) mod 2) * 2) - 1) else 0)
A091337: 1 0 ~1 0 ~1 0 1 0 1 0 ~1 0 ~1 0 1 0
(if ((x mod (2 + 1)) - ((((x + 1) div 2) div 2) mod 2)) <= 0 then 1 else 0)
A078650: 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1
(if ((x * 2) mod (((x + 1) mod ((2 + 2) * 2)) + 2)) <= 0 then 1 else 0)
A252488: 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1
(if ((((x * x) div 2) mod (((x div 2) + 2) + 2)) - 2) <= 0 then 1 else 0)
A294821-A113706: 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1
(if (x mod (((((x div 2) + 1) div 2) mod (2 + 2)) + 2)) <= 0 then 1 else 0)
A230135: 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0
((x mod 2) - (if ((x - (2 + 2)) mod ((2 + 2) * 2)) <= 0 then 1 else 0))
A280237: 0 1 0 1 ~1 1 0 1 0 1 0 1 ~1 1 0 1
(if ((((x mod 2) * 2) + x) mod ((x div (2 + 2)) + 2)) <= 0 then 1 else 0)
A179560: 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0
(if ((x div (2 + 2)) - (x mod ((x mod (2 + 2)) + 2))) <= 0 then 1 else 0)
A239681: 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0
(if (x mod (((((x * x) + 2) div (x + 2)) mod 2) + 2)) <= 0 then 1 else 0)
A029423: 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1
(if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 1 else 0)
A287619-A131018-A033806-A033802-A033800-A033796-A033790-A033788-A033782-A033778-A033776-A010054: 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1
(if ((x div ((x div ((2 + 2) * 2)) + 1)) mod (2 + 2)) <= 0 then 1 else 0)
A067618: 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0
(if (((x - (2 + 1)) mod ((x div 2) + 1)) mod (2 + 2)) <= 0 then 1 else 0)
A053866: 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1
(if ((x - ((x div (2 + 2)) div (0 - 2))) mod (2 + 2)) <= 0 then 1 else 0)
A168201: 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0
(if ((x mod (((2 - x) div (2 + 2)) - 2)) mod (2 + 2)) <= 0 then 1 else 0)
A082960: 1 0 1 1 0 0 1 0 1
A082596: 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0
(if ((((((x + 1) div 2) + 1) * x) div 2) mod (2 + 2)) <= 0 then 1 else 0)
A068429: 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0
(if (x mod (2 + 2)) <= 0 then (((x - 1) * x) mod ((2 + 2) + 1)) else 0)
A059483: 0 0 0 0 2 0 0 0 1 0 0 0 2 0 0 0
(((((2 + 2) + 1) * x) + 2) + (if (x - (2 + 2)) <= 0 then 1 else 0))
A282025: 3 8 13 18 23 27 32 37 42 47 52 57 62 67 72 77
(if ((((x div 2) + x) mod (2 + 2)) - (x div (2 + 2))) <= 0 then 1 else 0)
A109699: 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1
loop(\(x,i).((x * 2) + 1),((x div 2) - ((x - 1) div (2 + 1))),0)
A042951-A029155: 1 0 1 1 1 1 3 1 3 3 3 3 7 3 7 7
(if ((x - 2) mod ((2 + 2) + 1)) <= 0 then ((x - 1) mod (2 + 1)) else 0)
A181502-A083927: 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0
(if (x mod ((2 + 2) + 1)) <= 0 then (1 - ((x div 2) div (2 + 1))) else 0)
A016337-A015959-A015659-A015059: 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 ~1
(if (((x * x) - 2) mod ((x + 2) + 2)) <= 0 then (x div (2 + 1)) else 0)
A051344: 0 0 0 1 0 0 0 0 0 0 3 0 0 0 0 0
((((2 + 2) + 1) * (x + 1)) + (if ((2 - x) + 2) <= 0 then 1 else 0))
A028435: 5 10 15 20 26 31 36 41 46 51 56 61 66 71 76 81
(if (x mod ((2 + 2) + 1)) <= 0 then ((((x div 2) * x) mod 2) + 1) else 0)
A234859: 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 2
(if (((x + 1) mod (1 - ((2 + 2) * 2))) mod (x + 2)) <= 0 then 1 else 0)
A102242: 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0
(if (((x * 2) mod (((2 + 1) * 2) + 1)) - (x div 2)) <= 0 then 1 else 0)
A025868: 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1
(if ((x - 1) mod (((2 + 2) + 1) * 2)) <= 0 then ((x div 2) + 1) else 0)
A339629: 0 1 0 0 0 0 0 0 0 0 0 6 0 0 0 0
(if ((((x + 2) mod ((2 + 2) + 1)) div 2) - (x mod 2)) <= 0 then 1 else 0)
A030308: 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (((x + 2) * x) + 1) else 0)
A106544: 1 0 0 0 0 0 0 0 0 0 121 0 0 0 0 0
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 1),(x + 1),0)
A132583: 11 121 1221 12221 122221 1222221 12222221 122222221 1222222221 12222222221 122222222221 1222222222221 12222222222221 122222222222221 1222222222222221 12222222222222221
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then (x + 1) else 0)
A102393: 1 0 0 4 0 6 7 0 0 10 11 0 13 0 0 16
loop(\(x,i).(((((i mod 2) + x) + (x * 2)) * 2) + 1),(x + 1),0)
A037585: 3 19 117 703 4221 25327 151965 911791 5470749 32824495 196946973 1181681839 7090091037 42540546223 255243277341 1531459664047
loop(\(x,i).(((((x * 2) * 2) + (i mod 2)) * 2) + 1),(x + 1),0)
A037587: 3 25 203 1625 13003 104025 832203 6657625 53261003 426088025 3408704203 27269633625 218157069003 1745256552025 13962052416203 111696419329625
(1 - loop(\(x,i).((((x * 2) - 1) * 2) * (2 + 1)),(x + 1),0))
A127859: 7 79 943 11311 135727 1628719 19544623 234535471 2814425647 33773107759
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then (x + 1) else 0)
A127773: 1 0 3 0 0 6 0 0 0 10 0 0 0 0 15 0
loop(\(x,i).(((i * i) * (i * i)) + ((x * 2) * 2)),(x + 1),0)
A067534: 1 20 161 900 4225 18196 75185 304836 1225905 4913620 19669121 78697220 314817441 1259308180 5037283345 20149198916
loop(\(x,i).(((((i + 2) * (i + 1)) div 2) + x) + 2),(x + 1),0)
A240001: 5 13 25 42 65 95 133 180 237 305 385 478 585 707 845 1000
(((1 - x) - ((x * 2) * 2)) * (if (x - 2) <= 0 then (x + 1) else 0))
A119522: 1 ~8 ~27 0 0 0 0 0 0 0 0 0 0 0 0 0
(if ((x mod (((2 + 2) + 1) * 2)) * (x div 2)) <= 0 then (x + 1) else 0)
A245515: 1 2 0 0 0 0 0 0 0 0 11 0 0 0 0 0
loop(\(x,i).(((i - 1) mod (((2 + 2) * 2) + 1)) + x),(x + 1),0)
A130487: 0 1 3 6 10 15 21 28 36 36 37 39 42 46 51 57
loop(\(x,i).((((i + x) * (2 + 1)) * (2 + 1)) + x),(x + 1),0)
A099676: 9 108 1107 11106 111105 1111104 11111103 111111102 1111111101 11111111100 111111111099 1111111111098 11111111111097 111111111111096 1111111111111095 11111111111111094
loop(\(x,i).(((i - 1) mod ((2 + 2) * (2 + 1))) + x),(x + 1),0)
A130490: 0 1 3 6 10 15 21 28 36 45 55 66 66 67 69 72
loop(\(x,i).((((i + x) + (x * 2)) * (2 + 1)) + x),(x + 1),0)
A099670: 3 36 369 3702 37035 370368 3703701 37037034 370370367 3703703700 37037037033 370370370366 3703703703699 37037037037032 370370370370365 3703703703703698
loop(\(x,i).(((((i + x) * 2) + x) * (2 + 1)) + x),(x + 1),0)
A099673: 6 72 738 7404 74070 740736 7407402 74074068 740740734 7407407400 74074074066 740740740732 7407407407398 74074074074064 740740740740730 7407407407407396
loop(\(x,i).((((i + 1) * 2) * ((i * 2) + 1)) + x),(x + 1),0)
A193068: 12 42 98 188 320 502 742 1048 1428 1890 2442 3092 3848 4718 5710 6832
loop(\(x,i).(((i - 1) mod (((2 + 2) + 1) * 2)) + x),(x + 1),0)
A130488: 0 1 3 6 10 15 21 28 36 45 45 46 48 51 55 60
loop(\(x,i).(((((i * i) * i) * (i + 1)) div 2) + x),(x + 1),0)
A086689: 1 13 67 227 602 1358 2730 5034 8679 14179 22165 33397 48776 69356 96356 131172
loop(\(x,i).(((((i * i) - 1) * (i + 2)) * i) + x),(x + 1),0)
A158874: 0 24 144 504 1344 3024 6048 11088 19008 30888 48048 72072 104832 148512 205632 279072
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) - i),(x + 1),0)
A064617: 9 98 987 9876 98765 987654 9876543 98765432 987654321 9876543210 98765432099 987654320988 9876543209877 98765432098766 987654320987655 9876543209876544
((((((x * 2) * 2) + 1) * 2) * (2 + 1)) + (if x <= 0 then 1 else 0))
A063148-A063128: 7 30 54 78 102 126 150 174 198 222 246 270 294 318 342 366
(((((x * 2) * (2 + 1)) + 2) * (2 + 1)) + (if x <= 0 then 1 else 0))
A063136: 7 24 42 60 78 96 114 132 150 168 186 204 222 240 258 276
(((((x * 2) - 1) mod ((2 + 2) + 1)) * 2) - (if x <= 0 then 1 else 0))
A128475: 7 2 6 0 4 8 2 6 0 4 8 2 6 0 4 8
((((((x * 2) * (2 + 1)) + 1) * 2) * 2) + (if x <= 0 then 1 else 0))
A063140: 5 28 52 76 100 124 148 172 196 220 244 268 292 316 340 364
(((((((2 + 2) + 1) * x) + 1) * 2) * 2) + (if x <= 0 then 1 else 0))
A063143: 5 24 44 64 84 104 124 144 164 184 204 224 244 264 284 304
(((((x div 2) + x) + ((x + 1) * 2)) * 2) - (if x <= 0 then 1 else 0))
A063211: 3 10 18 24 32 38 46 52 60 66 74 80 88 94 102 108
(((((((x * 2) * 2) + 1) * 2) * 2) * 2) + (if x <= 0 then 1 else 0))
A063164: 9 40 72 104 136 168 200 232 264 296 328 360 392 424 456 488
((((((x * 2) * (2 + 1)) + 2) * 2) * 2) + (if x <= 0 then 1 else 0))
A063134: 9 32 56 80 104 128 152 176 200 224 248 272 296 320 344 368
(((2 - (x - (((x * 2) * 2) * 2))) * 2) + (if x <= 0 then 1 else 0))
A063120: 5 18 32 46 60 74 88 102 116 130 144 158 172 186 200 214
(((((((2 + 2) + 1) * x) + 2) * 2) * 2) + (if x <= 0 then 1 else 0))
A063155: 9 28 48 68 88 108 128 148 168 188 208 228 248 268 288 308
((((((x * 2) + 1) * (2 + 1)) + x) * 2) + (if x <= 0 then 1 else 0))
A063151: 7 20 34 48 62 76 90 104 118 132 146 160 174 188 202 216
(1 - (if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 2 else 0))
A158387: ~1 1 1 ~1 1 1 1 1 ~1 1 1 1 1 1 1 ~1
(if ((((2 - x) * (x - 2)) div (2 + 1)) mod (2 + 1)) <= 0 then 2 else 0)
A273514: 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 2
((x - 2) div (x - (if (x mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 0)))
A034389: 1 ~1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
((((x div 2) + 1) * (2 + 1)) - (if (x mod (2 + 1)) <= 0 then 2 else 0))
A321773: 1 3 6 4 9 9 10 12 15 13 18 18 19 21 24 22
(if ((x - (2 + 1)) mod ((2 + 2) * 2)) <= 0 then ((x + 1) * 2) else 0)
A085121: 0 0 0 8 0 0 0 0 0 0 0 24 0 0 0 0
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then ((x - 1) * 2) else 0)
A091234: 0 0 0 0 0 0 0 0 0 0 0 20 0 0 0 0
(x mod (x - (if ((x * 2) mod (2 - (x div (0 - 2)))) <= 0 then 2 else 0)))
A082523: 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2
(if ((x + 1) mod (((x * x) mod ((2 + 2) + 1)) + 2)) <= 0 then 2 else 0)
A275962: 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2
(1 - (if (x mod ((x div ((2 + 2) * (2 + 1))) + 2)) <= 0 then 2 else 0))
A119665: ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 1 ~1
(1 - ((x * 2) div (x - (if (x mod ((2 + 1) * 2)) <= 0 then 2 else 0))))
A300547: 1 ~1 ~1 ~1 ~1 ~1 ~2 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1
((x * 2) mod ((x div 2) - (if ((x div (2 + 1)) mod 2) <= 0 then 2 else 0)))
A278922: 0 0 0 0 0 0 0 0 0 2 0 2 0 2 3 2
(if (x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) <= 0 then 2 else 0)
A105118: 2 0 2 0 2 0 0 0 0 2 2 0 0 0 0 0
((x + 1) - (if ((x + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0))
A158366: 1 2 3 4 5 4 7 8 9 10 11 12 13 14 15 16
(if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 2 else 0)
A089799: 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2
(x mod (x - (if (x mod 2) <= 0 then ((x - 1) mod ((2 + 2) * 2)) else 0)))
A164736: 0 0 0 0 0 0 0 0 0 0 1 0 3 0 5 0
((x + 1) - (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0))
A291305: 1 2 3 0 5 6 7 8 5 10 11 12 13 10 15 16
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then (1 - ((x mod 2) * 2)) else 0)
A015283-A015087: 1 0 0 0 0 0 0 ~1 0 0 0 0 0 0 1 0
(((((2 + 1) * x) + 2) * (x + 1)) + (if (x mod 2) <= 0 then 2 else 0))
A200455: 4 10 26 44 72 102 142 184 236 290 354 420 496 574 662 752
loop(\(x,i).(((i - 1) mod (((2 + 2) + 1) * 2)) + x),(x + 2),0)
A061076: 1 3 6 10 15 21 28 36 45 45 46 48 51 55 60 66
(((x mod 2) * 2) - loop(\(x,i).((x * 2) - (i mod 2)),(x - 2),0))
A135351: 0 2 0 3 2 7 10 23 42 87 170 343 682 1367 2730 5463
(x - (if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then (x div 2) else 0))
A103303: 0 1 2 3 4 5 6 7 8 9
A048893: 0 1 2 3 4 5 6 7 8 9 10 6 12 13 14 15
loop(\(x,i).(((((x div (2 + 2)) + x) div 2) + x) + 1),(x div 2),0)
A131524: 0 0 1 1 2 2 4 4 7 7 12 12 20 20 33 33
(1 - ((x * x) mod (1 - (if ((x div 2) mod 2) <= 0 then (x div 2) else 0))))
A178252: 1 1 1 1 1 1 1 1 3 1 1 1 2 2 1 1
((x + 1) - loop(\(x,i).((x mod ((i mod (x + 1)) + 1)) + 1),x,0))
A124195: 1 1 2 2 4 4 6 6 6 8 10 10 12 12 12 12
loop(\(x,i).((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1),x,0)
A218733: 0 1 31 931 27931 837931 25137931 754137931 22624137931 678724137931 20361724137931 610851724137931 18325551724137931 549766551724137931 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) * ((2 + 2) + 1)) + 1),x,0)
A218743: 0 1 41 1641 65641 2625641 105025641 4201025641 168041025641 6721641025641 268865641025641 10754625641025641 430185025641025641 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - ((x div 2) mod 2)) * ((2 + 2) + 1)) + 1),x,0)
A046233: 0 1 6 26 126 626 3126 15626 78126 390626 1953126 9765626 48828126 244140626 1220703126 6103515626
loop(\(x,i).(((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1),x,0)
A218728: 0 1 26 651 16276 406901 10172526 254313151 6357828776 158945719401 3973642985026 99341074625651 2483526865641276 62088171641031901 1552204291025797526 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) * (2 + 1)) + 1),x,0)
A218739: 0 1 37 1333 47989 1727605 62193781 2238976117 80603140213 2901713047669 104461669716085 3760620109779061 135382323952046197 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + 1),x,0)
A218730: 0 1 28 757 20440 551881 14900788 402321277 10862674480 293292210961 7918889695948 213810021790597 5772870588346120 155867505885345241 4208422658904321508 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * (2 + 1)) + 1),x,0)
A218751: 0 1 49 2353 112945 5421361 260225329 12490815793 599559158065 28778839587121 1381384300181809 66306446408726833 3182709427618887985 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x mod 2) + x) * (2 + 2)) * (2 + 1)) + 1),x,0)
A240846: 0 1 25 313 3769 45241 542905 6514873 78178489 938141881 11257702585 135092431033 1621109172409 19453310068921 233439720827065 2801276649924793
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) * (2 + 1)) + 1),x,0)
A218724: 0 1 22 463 9724 204205 4288306 90054427 1891142968 39714002329 833994048910 17513875027111 367791375569332 7723618886955973 162195996626075434 3406115929147584115
(if ((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) <= 0 then x else 0)
A166260: 0 1 2 0 4 0 6 0 0 0 10 0 12 0 0 0
(1 div (2 - (if ((x - 1) mod (((2 + 1) * 2) + 1)) <= 0 then x else 0)))
A030214: 0 1 0 0 0 0 0 0 ~1 0 0 0 0 0 0 ~1
loop(\(x,i).(((x * 2) - (i mod (((x mod 2) + 1) * 2))) + 1),x,0)
A229878: 0 0 1 0 1 2
A181586: 0 0 1 0 1 2 5 8 17 34 69 136 273 546 1093 2184
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * 2) * 2) + 1),x,0)
A133853: 0 1 65 4161 266305 17043521 1090785345 69810262081 4467856773185 285942833483841 18300341342965825 1171221845949812801 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) + 1) mod ((((2 + 2) * 2) * 2) + 1)),x,0)
A222010: 0 1 3 7
A117589: 0 1 3 7 15 14 12 8 0 1 3 7 15 14 12 8
loop(\(x,i).(((x - (((x mod 2) - (x * 2)) * 2)) * 2) + 1),x,0)
A073552-A067275: 0 1 7 67 667 6667 66667 666667 6666667 66666667 666666667 6666666667 66666666667 666666666667 6666666666667 66666666666667
loop(\(x,i).(x - ((((x mod 2) - ((x * 2) * 2)) * 2) - 1)),x,0)
A015577: 0 1 8 73 656 5905 53144 478297 4304672 38742049 348678440 3138105961 28242953648 254186582833 2287679245496 20589113209465
loop(\(x,i).(((((i mod 2) + x) + ((x * 2) * 2)) * 2) - 1),x,0)
A015585: 0 1 9 91 909 9091 90909 909091 9090909 90909091 909090909 9090909091 90909090909 909090909091 9090909090909 90909090909091
loop(\(x,i).(((((x + 2) + 2) * 2) + 1) * ((2 + 2) + 1)),x,0)
A086576: 0 45 495 4995 49995 499995 4999995 49999995 499999995 4999999995 49999999995 499999999995 4999999999995 49999999999995 499999999999995 4999999999999995
(1 - loop(\(x,i).(((x - (2 + 2)) * 2) * ((2 + 2) + 1)),x,0))
A173768: 1 41 441 4441 44441 444441 4444441 44444441 444444441 4444444441 44444444441 444444444441 4444444444441 44444444444441 444444444444441 4444444444444441
loop(\(x,i).(1 - (x - (((x * 2) * 2) * ((2 + 2) + 1)))),x,0)
A218722: 0 1 20 381 7240 137561 2613660 49659541 943531280 17927094321 340614792100 6471681049901 122961939948120 2336276859014281 44389260321271340 843395946104155461
(1 - loop(\(x,i).(((x - (i mod 2)) * 2) * ((2 + 2) + 1)),x,0))
A266508: 1 11 101 1011 10101 101011 1010101 10101011 101010101 1010101011 10101010101 101010101011 1010101010101 10101010101011 101010101010101 1010101010101011
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) * (2 + 2)) + 1),x,0)
A218731: 0 1 29 813 22765 637421 17847789 499738093 13992666605 391794664941 10970250618349 307167017313773 8600676484785645 240818941573998061 4611686018427387903 4611686018427387903
((((2 + 1) * 2) + 1) - (if ((x div (2 + 2)) - 1) <= 0 then x else 0))
A307338: 7 6 5 4 3 2 1 0 7 7 7 7 7 7 7 7
(((x mod (2 + 1)) div 2) - loop(\(x,i).(((x * 2) * 2) - 1),x,0))
A191597: 0 1 6 21 85 342 1365 5461 21846 87381 349525 1398102 5592405 22369621 89478486 357913941
loop(\(x,i).(((((x * 2) * (2 + 1)) + (i mod 2)) * 2) - 1),x,0)
A015609: 0 1 11 133 1595 19141 229691 2756293 33075515 396906181 4762874171 57154490053 685853880635 8230246567621 98762958811451 1185155505737413
(1 - loop(\(x,i).((x - ((i mod 2) * (2 + 1))) * (2 + 1)),x,0))
A116973: 1 10 28 91 271 820 2458 7381 22141 66430 199288 597871 1793611 5380840 16142518 48427561
loop(\(x,i).(1 - (x - ((((x * 2) * 2) * 2) * (2 + 1)))),x,0)
A218726: 0 1 24 553 12720 292561 6728904 154764793 3559590240 81870575521 1883023236984 43309534450633 996119292364560 22910743724384881 526947105660852264 4611686018427387903
(1 - loop(\(x,i).(x - (1 - (((x * 2) * 2) * (2 + 1)))),x,0))
A196792: 1 2 15 184 2381 30942 402235 5229044 67977561 883708282 11488207655 149346699504 1941507093541 25239592216022 328114698808275 4265491084507564
(1 - loop(\(x,i).(x - (((i mod 2) - (x * 2)) * (2 + 1))),x,0))
A039304: 1 4 22 151 1051 7354 51472 360301 2522101 17654704 123582922 865080451 6055563151 42388942054 296722594372 2077058160601
loop(\(x,i).((x - (i div (0 - 2))) + ((x * 2) * (2 + 1))),x,0)
A178730: 0 1 8 58 408 2859 20016 140116 980816 6865717 48060024 336420174 2354941224 16484588575 115392120032 807744840232
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) + x) * (2 + 1)),x,0)
A277107: 0 96 384 1248 3840 11616 34944 104928 314880 944736 2834304 8503008 25509120 76527456 229582464 688747488
(if (x mod ((2 + 2) * (2 + 1))) <= 0 then ((x div (2 + 1)) + x) else 0)
A181029: 0 0 0 0 0 0 0 0 0 0 0 0 16 0 0 0
loop(\(x,i).((((((2 + 2) * (2 + 1)) + 1) * x) * 2) + 1),x,0)
A218729: 0 1 27 703 18279 475255 12356631 321272407 8353082583 217180147159 5646683826135 146813779479511 3817158266467287 99246114928149463 2580398988131886039 4611686018427387903
loop(\(x,i).((((((2 + 2) * (2 + 1)) - 1) * x) * 2) + 1),x,0)
A218725: 0 1 23 507 11155 245411 5399043 118778947 2613136835 57489010371 1264758228163 27824681019587 612142982430915 13467145613480131 296277203496562883 4611686018427387903
loop(\(x,i).(((((((2 + 2) * 2) * 2) + 1) * x) * 2) + 1),x,0)
A218737: 0 1 35 1191 40495 1376831 46812255 1591616671 54114966815 1839908871711 62556901638175 2126934655697951 72315778293730335 2458736461986831391 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i div ((x mod 2) + 2)) + 1) + x) div 2) + 1),x,0)
A282692: 0 1 2 3 3 3 4 5 5 5 5 5 6 7 7
loop(\(x,i).(((x div ((x mod ((2 + 2) + 1)) + 1)) + x) + 1),x,0)
A181288: 0 1 2 3 4 5 11 17 23 29 35 71 107 143 179 215
(1 - loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) - 1),x,0))
A047856: 1 2 13 134 1465 16106 177157 1948718 21435889 235794770 2593742461 28531167062 313842837673 3452271214394 37974983358325 417724816941566
loop(\(x,i).(((x div ((x mod ((2 + 1) * 2)) + 1)) + x) + 1),x,0)
A181303: 0 1 2 3 4 5 6 13 20 27 34 41 48 97 146 195
loop(\(x,i).(((((((2 + 2) * 2) * 2) * 2) + 1) * x) + 1),x,0)
A218736: 0 1 34 1123 37060 1222981 40358374 1331826343 43950269320 1450358887561 47861843289514 1579440828553963 52121547342280780 1720011062295265741 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * 2) * 2) * 2) - 1) * x) + 1),x,0)
A218734: 0 1 32 993 30784 954305 29583456 917087137 28429701248 881320738689 27320942899360 846949229880161 26255426126284992 813918209914834753 4611686018427387903 4611686018427387903
loop(\(x,i).((((x mod ((2 + 2) * 2)) * (2 + 1)) + x) + 1),x,0)
A170837: 0 1 5 21 37 53 69 85 101 117 133 149 165 181 197 213
loop(\(x,i).((((x - ((x mod (2 + 1)) div 2)) div 2) + x) + 1),x,0)
A327421: 0 1 2 3 5 8 12 19 29 44 66 100 151 227 341 512
loop(\(x,i).((((((x div 2) + (x * 2)) * 2) * 2) + x) + 1),x,0)
A015592: 0 1 10 111 1220 13421 147630 1623931 17863240 196495641 2161452050 23775972551 261535698060 2876892678661 31645819465270 348104014117971
(1 - loop(\(x,i).(((((x div 2) + x) div (i + 2)) + x) - 1),x,0))
A231408: 1 2 4 6 9
A095114: 1 2 4 6 9 12 16 20 24 29 34 39 45 51 57 63
(((((x * 2) * 2) * (x + 1)) + 1) - (if (x - 1) <= 0 then x else 0))
A273743: 1 8 25 49 81 121 169 225 289 361 441 529 625 729 841 961
loop(\(x,i).((x * 2) - ((1 - ((i mod 2) * 2)) * (i + 1))),x,0)
A172285: 0 2 1 6 7 20 33 74 139 288 565 1142 2271 4556 9097 18210
loop(\(x,i).((((((i mod 2) * 2) - 1) * i) + x) * (i + 1)),x,0)
A180189: 0 2 0 12 40 270 1848 14840 133488 1334970 14684560 176214852 2290792920 32071101062 481066515720 7697064251760
(1 - loop(\(x,i).((x - ((((2 + 2) * 2) * 2) - 1)) * 2),x,0))
A139700: 1 31 91 211 451 931 1891 3811 7651 15331 30691 61411 122851 245731 491491 983011
((((2 + 2) * 2) + 1) - (if (((x div 2) - 2) - 2) <= 0 then x else 0))
A307340: 9 8 7 6 5 4 3 2 1 0 9 9 9 9 9 9
(((x + 1) mod 2) - loop(\(x,i).((x - ((i div 2) mod 2)) * 2),x,0))
A199403: 1 0 3 6 13 24 51 102 205 408 819 1638 3277 6552 13107 26214
(((x mod 2) * 2) - loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A274072: 0 6 24 126 624 3126 15624 78126 390624 1953126 9765624 48828126 244140624 1220703126 6103515624 30517578126
(x - (if (x mod ((2 + 2) + 1)) <= 0 then ((x div (2 + 2)) - x) else 0))
A236852: 0 1 2 3 4 9 6 7 8 9 18 11 12 13 14 27
(1 - (((2 + 1) * 2) mod (2 - (if (x mod (2 + 2)) <= 0 then x else 0))))
A250662-A220054-A135469: 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1
((1 - (x * 2)) mod (2 - (x - loop(\(x,i).((i + x) * 2),x,0))))
A309115: 1 2 5 16
A132734: 1 2 5 16 43 102 225 476 983 2002 4045 8136 16323 32702 65465 130996
(1 - loop(\(x,i).(((x * 2) * 2) - (((i - 1) * i) div 2)),x,0))
A326294: 1 1 2 8 35 147 600 2418
loop(\(x,i).((((i + 2) * x) - (((x mod 2) * 2) - 1)) + x),x,0)
A006348: 0 1 4 25 174 1393 12536 125361 1378970 16547641 215119332 3011670649 45175059734 722800955745 12287616247664 221177092457953
loop(\(x,i).(((((x + 2) + 1) * (2 + 1)) * (2 + 1)) + x),x,0)
A086574: 0 27 297 2997 29997 299997 2999997 29999997 299999997 2999999997 29999999997 299999999997 2999999999997 29999999999997 299999999999997 2999999999999997
loop(\(x,i).((((((i + 2) + 1) * i) div 2) * (i + 1)) + x),x,0)
A215862: 0 4 19 55 125 245 434 714 1110 1650 2365 3289 4459 5915 7700 9860
loop(\(x,i).((((((i + 2) + 2) * i) * (i + 1)) div 2) + x),x,0)
A241765: 0 5 23 65 145 280 490 798 1230 1815 2585 3575 4823 6370 8260 10540
loop(\(x,i).((((i + 2) * i) div (((x + 2) + 2) + 2)) + x),x,0)
A005356: 0 0 1 3 5 8 11 14 18 22 26 30 34 38 43 48
loop(\(x,i).(((((i * i) * i) * ((i * i) * i)) * 2) + x),x,0)
A259109: 0 2 130 1588 9780 41030 134342 369640 893928 1956810 3956810 7499932 13471900 23125518 38184590 60965840
loop(\(x,i).((((((2 + 2) * 2) * (i - 1)) + 1) * i) + x),x,0)
A172078: 0 1 19 70 170 335 581 924 1380 1965 2695 3586 4654 5915 7385 9080
loop(\(x,i).(((((((2 + 1) * 2) + 1) * i) - 2) * i) + x),x,0)
A050409: 0 5 29 86 190 355 595 924 1356 1905 2585 3410 4394 5551 6895 8440
loop(\(x,i).((((i - ((1 - i) * (2 + 2))) * i) * i) + x),x,0)
A172047: 0 1 25 124 380 905 1841 3360 5664 8985 13585 19756 27820 38129 51065 67040
loop(\(x,i).((((1 - ((i mod 2) * 2)) * i) * (i * i)) + x),x,0)
A232599: 0 ~1 7 ~20 44 ~81 135 ~208 304 ~425 575 ~756 972 ~1225 1519 ~1856
loop(\(x,i).(((((i * i) * i) * ((i * i) * i)) * i) + x),x,0)
A000541: 0 1 129 2316 18700 96825 376761 1200304 3297456 8080425 18080425 37567596 73399404 136147921 241561425 412420800
loop(\(x,i).(((((i * i) * i) * ((i * i) * i)) * i) - x),x,0)
A152726: 0 1 127 2060 14324 63801 216135 607408 1489744 3293225 6706775 12780396 23051412 39697105 65716399 105142976
(if (x mod (((x div 2) div ((x mod (2 + 2)) + 1)) + 1)) <= 0 then 0 else 1)
A011661: 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1
(if ((((x * x) * x) + 2) mod ((x div (2 + 1)) + 1)) <= 0 then 0 else 1)
A288381-A095792: 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1
(if ((x + 1) mod ((((x div (2 + 1)) + 1) div 2) + 1)) <= 0 then 0 else 1)
A011662: 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 0
(if ((x - 1) mod (((x div ((2 + 2) + 1)) + 2) + 1)) <= 0 then 0 else 1)
A263804: 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1
(if (x mod ((((x * x) mod ((2 + 2) + 1)) + 2) + 1)) <= 0 then 0 else 1)
A286055: 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0
(if ((((x + 1) * x) + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)
A098457: 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1
(if (((x mod (2 + 1)) * x) mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)
A284627: 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0
(if ((x - 1) mod (((2 - x) mod ((2 + 1) * 2)) + 1)) <= 0 then 0 else 1)
A333815: 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1
(if (x mod (((x - ((x div (2 + 1)) * 2)) * 2) + 1)) <= 0 then 0 else 1)
A181632: 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1
(if (x mod ((((x + 2) mod ((2 + 2) * 2)) * 2) + 1)) <= 0 then 0 else 1)
A196147: 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0
(if ((x + 1) mod ((((1 - x) mod (2 + 2)) * 2) + 1)) <= 0 then 0 else 1)
A209198: 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1
(if (((2 - x) + 1) mod (((x div (2 + 2)) + 2) + 1)) <= 0 then 0 else 1)
A294018: 0 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0
(if (((x div 2) - 1) div (((x mod (2 + 2)) * 2) - 1)) <= 0 then 0 else 1)
A117957: 1 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1
(if (((x - (x div (2 + 2))) + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A071040: 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1
(if ((x - (2 - ((x div 2) mod 2))) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A249865: 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1
(if (((x mod ((x div 2) + 2)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else 1)
A076182: 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0
((if (x mod ((2 + 1) * 2)) <= 0 then (x div ((2 + 2) + 1)) else 0) + 1)
A319430-A033630: 1 1 1 1 1 1 2 1 1 1 1 1 3 1 1 1
((if (x mod 2) <= 0 then ((x - 2) mod ((x div (2 + 2)) + 1)) else 0) + 1)
A291634: 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1
(if (((x - 1) div (((x mod 2) * 2) + 1)) mod (2 + 1)) <= 0 then 0 else 1)
A273512: 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1
(if ((x div (((x mod 2) + 1) * (2 + 1))) mod (2 + 1)) <= 0 then 0 else 1)
A039738: 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1
(if ((x - (x div ((2 + 2) * (2 + 1)))) mod (2 + 1)) <= 0 then 0 else 1)
A022933: 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1
(if ((((2 - x) * (x - 2)) div (2 + 1)) mod (2 + 1)) <= 0 then 0 else 1)
A039966: 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0
(if (((x * x) mod (((2 - x) * 2) + 1)) mod (2 + 1)) <= 0 then 0 else 1)
A270742: 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0
(if ((((x mod (2 + 2)) - 1) * (x + 1)) mod (2 + 1)) <= 0 then 0 else 1)
A187074: 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1
(if (((x - 1) mod (2 - (x div (0 - 2)))) mod (2 + 1)) <= 0 then 0 else 1)
A321223: 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1
(if (((x * 2) mod (2 - (x div (0 - 2)))) mod (2 + 1)) <= 0 then 0 else 1)
A174206: 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0
(if ((x - ((x div ((2 + 2) + 1)) mod 2)) mod (2 + 1)) <= 0 then 0 else 1)
A105565: 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
(if ((x mod (((1 - x) div (2 + 1)) - 2)) mod (2 + 1)) <= 0 then 0 else 1)
A127000: 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0
(if ((x + 2) mod ((2 - (x div (2 + 2))) + (2 + 1))) <= 0 then 0 else 1)
A330667: 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1
(if ((((x * x) * 2) mod ((x div 2) + 2)) mod (2 + 1)) <= 0 then 0 else 1)
A005091: 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0
(if (((((x div 2) + 2) * (2 - x)) div 2) mod (2 + 1)) <= 0 then 0 else 1)
A290307-A055800: 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1
(if ((((x - 2) div ((x div 2) + 2)) + x) mod (2 + 1)) <= 0 then 0 else 1)
A287523: 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1
((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 0) + 1)
A131324: 1 1 1 1 1 1 1 3 1 1 1 1 5 1 1 1
(loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),(x + 1),0) - 1)
A173812: 7 87 887 8887 88887 888887 8888887 88888887 888888887 8888888887 88888888887 888888888887 8888888888887 88888888888887 888888888888887 8888888888888887
(loop(\(x,i).((x + 1) mod ((i div (2 + 1)) + 2)),(x - 1),0) + 1)
A194844-A194055: 1 1 2 1 2 3 1 2 3 4 5 1 2 3 4 5
((if (x mod 2) <= 0 then (x mod ((((2 + 1) * 2) + 1) * 2)) else 0) + 1)
A327531-A327514: 1 1 3 1 5 1 7 1 9 1 11 1 13 1 1 1
((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 2 else 0) - 1)
A106400: 1 ~1 ~1 1 ~1 1 1 ~1 ~1 1 1 ~1 1 ~1 ~1 1
((if ((x mod (((x mod 2) + 2) + 2)) mod (2 + 1)) <= 0 then 2 else 0) - 1)
A209615: 1 ~1 ~1 1 1 1 ~1 ~1 1 ~1 ~1 ~1 1 1 ~1 1
(if ((x - 2) mod ((((x div 2) * 2) mod (2 + 1)) + 2)) <= 0 then 0 else 1)
A117872: 0 1 0 1 1 0 0 1 1 1 1 0 0 1 0 1
((if (x mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 1) * 2) else 0) + 1)
A109010: 7 1 1 1 1 1 1 7 1 1 1 1 1 1 7 1
(if ((x div (2 + 1)) - ((x * x) mod ((2 + 1) * 2))) <= 0 then 0 else 1)
A196049: 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1
(((x * x) * (2 + 2)) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))
A147560: 0 4 16 12 64 100 48 196 256 108 400 484 192 676 784 300
(if ((((1 - x) * (2 + 1)) mod ((x div 2) + 1)) div 2) <= 0 then 0 else 1)
A011698: 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1
(if ((x - 1) mod (((x div ((2 + 2) + 1)) + 2) + 2)) <= 0 then 0 else 1)
A275694: 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0
(if ((x + 1) mod ((2 - (((x - 1) div 2) div 2)) + 2)) <= 0 then 0 else 1)
A174897: 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0
((x div 2) - (if (((x + 1) mod ((2 + 2) * 2)) - 2) <= 0 then 0 else 1))
A140427: 0 0 0 0 1 1 2 3 4 4 4 4 5 5 6 7
(if (((x + 1) * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 0 else 1)
A157749: 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 1
((if (((((x div 2) * x) div 2) + 1) mod (2 + 2)) <= 0 then 2 else 0) + 1)
A063065: 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 0) + 1)
A113061: 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 9
((if (x mod (2 + 2)) <= 0 then (x mod ((x div (2 + 2)) + 2)) else 0) + 1)
A321125-A225174-A204127-A204125-A204112-A059895: 1 1 1 1 2 1 1 1 1 1 1 1 3 1 1 1
((1 - x) mod ((if ((x * 2) mod ((x div 2) + 2)) <= 0 then 2 else 0) + 1))
A291749: 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0
(if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 0 else 1)
A316101: 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0
((x * 2) - (((x mod 2) - (if ((x div 2) - 2) <= 0 then 2 else 0)) + 1))
A284492: 1 2 5 6 9 10 11 12 15 16 19 20 23 24 27 28
(if ((x mod (1 - ((2 + 2) * (2 + 1)))) mod (2 + 2)) <= 0 then 0 else 1)
A188068-A144610: 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1
(if (((((x - 2) * x) div (x + 2)) + 1) mod (2 + 2)) <= 0 then 0 else 1)
A319102-A103582: 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0
(if ((x - (((2 + 1) * 2) div (x + 1))) mod (2 + 2)) <= 0 then 0 else 1)
A232750: 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1
(if ((((x div (2 + 2)) + 2) * (x + 1)) mod (2 + 2)) <= 0 then 0 else 1)
A094934: 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0
((if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then (2 + 2) else 0) + 1)
A337337-A250131: 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1
(if ((((x * x) div ((x div 2) + 2)) + x) mod (2 + 2)) <= 0 then 0 else 1)
A189576: 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0
((((x + 1) * 2) * (2 + 1)) + (if (x - (2 + 2)) <= 0 then 0 else 1))
A028436: 6 12 18 24 30 37 43 49 55 61 67 73 79 85 91 97
((((2 + 2) * (x + 1)) + x) - (if (x - (2 + 2)) <= 0 then 0 else 1))
A190086: 4 9 14 19 24 28 33 38 43 48 53 58 63 68 73 78
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (x div (2 + 2)) else 0) + 1)
A342017-A073753-A062378: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 4
((if ((x * x) mod ((x + 2) + 2)) <= 0 then (x div (2 + 2)) else 0) + 1)
A204133: 1 1 1 1 2 1 1 1 1 1 1 1 4 1 1 1
(if (x - ((((x * x) * 2) - 1) mod ((x + 2) + 2))) <= 0 then 0 else 1)
A037818: 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1
(((x * 2) - (x mod (2 + 1))) + (if ((x div 2) - 2) <= 0 then 0 else 1))
A026311: 0 1 2 6 7 8 13 14 15 19 20 21 25 26 27 31
((1 - (((x div 2) mod 2) * 2)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A112030: 3 1 ~3 ~1 3 1 ~3 ~1 3 1 ~3 ~1 3 1 ~3 ~1
((if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then (x div 2) else 0) + 1)
A240831-A074465: 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1
(loop(\(x,i).((((2 + 1) * x) + (x mod (2 + 1))) + 1),x,0) + 1)
A077834: 1 2 6 19 56 168 505 1514 4542 13627 40880 122640 367921 1103762 3311286 9933859
(loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,0) - 1)
A323639: ~1 2 32 332 3332 33332 333332 3333332 33333332 333333332 3333333332 33333333332 333333333332 3333333333332 33333333333332 333333333333332
(loop(\(x,i).((i + x) - (x mod (((2 + 2) * 2) + 1))),x,0) + 1)
A302768-A223080-A212499-A180480-A166508-A093475-A080459-A071061-A051596-A037124-A032571: 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70
(loop(\(x,i).(((x * x) - 1) mod (((x + 2) * 2) + 1)),x,0) + 1)
A070367: 1 5 3 4 9 1 5 3 4 9 1 5 3 4 9 1
(loop(\(x,i).(((((x * 2) div (i + 1)) + i) * 2) - 1),x,0) + 1)
A222011: 1 2 4 8
A215459: 1 2 4 8 12 16 20 22 24 26 28 30 32 34 36 38
(loop(\(x,i).(((2 - x) mod (((2 + 1) * 2) + 1)) * 2),x,0) + 1)
A070369: 1 5 11 13 9 3 1 5 11 13 9 3 1 5 11 13
(loop(\(x,i).((i + x) - (x mod (((2 + 2) + 1) * 2))),x,0) + 1)
A179309-A178354-A032946: 1 2 3 4 5 6 7 8 9 10 11 22 33 44 55 66
(if ((((x + 2) * x) mod (((2 + 2) * 2) * 2)) - x) <= 0 then 0 else 1)
A102460: 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0
((x mod (((x + 1) div ((2 + 2) + 1)) + 1)) + (if x <= 0 then 0 else 1))
A081327: 0 1 1 1 1 2 1 2 1 1 2 3 1 2 3 4
((x div ((((x mod (2 + 1)) + 2) + 2) + 1)) + (if x <= 0 then 0 else 1))
A030603: 0 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4
(((x + 1) mod (((2 - x) mod (2 + 2)) + 1)) + (if x <= 0 then 0 else 1))
A031228: 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1
((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) - (if x <= 0 then 0 else 1))
A163810: 1 ~1 ~1 0 1 1 0 ~1 ~1 0 1 1 0 ~1 ~1 0
(((((2 + 1) * 2) * (2 + 1)) * (2 + 1)) - (if x <= 0 then 0 else 1))
A116386: 54 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53
((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - (if x <= 0 then 0 else 1))
A163806: 1 1 1 0 ~1 ~1 0 1 1 0 ~1 ~1 0 1 1 0
((((((x - 1) * x) div 2) + 2) * (2 + 1)) + (if x <= 0 then 0 else 1))
A081359: 6 7 10 16 25
(((x mod ((((x div 2) + 1) div 2) + 1)) mod 2) + (if x <= 0 then 0 else 1))
A023520: 0 1 1 2 1 2 1 2 1 1 1 2 1 2 1 1
(((x mod ((x mod ((x div 2) + 2)) + 1)) div 2) + (if x <= 0 then 0 else 1))
A326775: 0 1 2 1 1 1 1 1 2 1 2 1 2 1 2 1
(((x div 2) - (((x div 2) div (2 + 1)) * 2)) + (if x <= 0 then 0 else 1))
A287271: 0 1 2 2 3 3 2 2 3 3 4 4 3 3 4 4
(((((x * 2) + 1) + (x div (2 + 1))) * 2) + (if x <= 0 then 0 else 1))
A063205: 2 7 11 17 21 25 31 35 39 45 49 53 59 63 67 73
(((x mod ((x mod 2) - ((2 + 2) * 2))) mod 2) + (if x <= 0 then 0 else 1))
A306446: 0 1 1 1 1 1 1 1 1 2 1 2 1 2 1 1
(((2 - ((x mod ((x mod 2) + 2)) div 2)) + 2) + (if x <= 0 then 0 else 1))
A018245: 4 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5
((x - ((x + 2) div (1 - ((2 + 2) * 2)))) + (if x <= 0 then 0 else 1))
A155854: 1 3 4 5 6 7 9 10 11 12 13 14 15 17 18 19
((((x div 2) * (x div 2)) div ((2 + 2) * 2)) + (if x <= 0 then 0 else 1))
A237979: 0 1 1 1 1 1 2 2 3 3 4 4 5 5 7 7
(((((((2 + 2) + 1) * x) + 2) * 2) * 2) - (if x <= 0 then 0 else 1))
A063144: 8 27 47 67 87 107 127 147 167 187 207 227 247 267 287 307
((((((x - 1) * x) div (x + 2)) mod 2) * 2) - (if x <= 0 then 0 else 1))
A226523: 0 ~1 ~1 1 ~1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1
(((((x div (2 + 1)) * (x div 2)) div 2) mod 2) + (if x <= 0 then 0 else 1))
A104638: 0 1 1 1 2 2 2 2 1 1 2 2 1 1 1 2
(((((x - 1) * 2) mod ((x div 2) + 2)) mod 2) + (if x <= 0 then 0 else 1))
A346087: 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2
(((((x * x) mod (2 + 1)) + x) div (2 + 2)) + (if x <= 0 then 0 else 1))
A172263: 0 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4
((((((x * 2) * 2) * 2) + 1) div (x + 2)) + (if x <= 0 then 0 else 1))
A225491: 0 4 5 6 6 6 7 7 7 7 7 7 7 8 8 8
((((((x * 2) * 2) * 2) + 1) div (x + 2)) - (if x <= 0 then 0 else 1))
A225486: 0 2 3 4 4 4 5 5 5 5 5 5 5 6 6 6
((((((2 + 1) * x) * (2 + 1)) - 2) * x) - (if x <= 0 then 0 else 1))
A187508: 0 6 31 74 135 214 311 426 559 710 879 1066 1271 1494 1735 1994
(loop(\(x,i).(((((i + 2) * i) + 1) div (x + 1)) + x),x,0) + 1)
A262161: 1 5 6 8 11 14 17 20 24 28 32 36 40 44 49 54
(loop(\(x,i).((((i mod 2) + x) * ((2 + 2) * 2)) - x),x,0) + 1)
A102303: 1 9 57 401 2801 19609 137257 960801 6725601 47079209 329554457 2306881201 16148168401 113037178809 791260251657 5538821761601
(((x div 2) div ((if ((x mod (2 + 1)) mod 2) <= 0 then 2 else 0) + 1)) + 1)
A117905: 1 1 1 1 3 1 2 4 2 2 6 2 3 7 3 3
loop(\(x,i).(x * 2),(x - ((x mod (((2 + 2) * 2) + 1)) + 1)),1)
A248776: 1 1 1 1 1 1 1 1 1 256 256 256 256 256 256 256
(x div (((1 - x) mod ((if (x mod (2 + 2)) <= 0 then 2 else 1) + 1)) + 1))
A168485: 0 1 1 3 4 5 3 7 2 9 5 11 6 13 7 15
((if (x mod 2) <= 0 then (((2 + 2) * 2) * ((2 + 2) + 1)) else 1) + 1)
A283895: 41 2 41 2 41 2 41 2 41 2 41 2 41 2 41 2
((if ((x div (2 + 1)) mod 2) <= 0 then (x div ((2 + 2) + 1)) else 1) + 1)
A242306: 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 2
loop(\(x,i).(x * 2),((x div (((2 - x) mod (2 + 2)) + 1)) - 1),1)
A320076: 1 1 2 1 1 2 32 1
(((x - 2) mod ((if (x mod 2) <= 0 then (x div (2 + 2)) else 1) + 1)) + 1)
A259656-A096370: 1 2 1 2 1 2 1 2 1 2 3 2 3 2 1 2
((if (x mod 2) <= 0 then (((2 + 2) * (2 + 1)) * (2 + 1)) else 1) + 1)
A278067: 37 2 37 2 37 2 37 2 37 2 37 2 37 2 37 2
((if (x - 1) <= 0 then x else (((x mod (2 + 1)) * (2 + 1)) + 1)) + 1)
A141449: 1 2 8 2 5 8 2 5 8 2 5 8 2 5 8 2
(loop(\(x,i).(x * 2),x,((((2 + 2) * 2) * (2 + 1)) - 1)) - 1)
A291557: 22 45 91 183 367 735 1471 2943 5887 11775 23551 47103 94207 188415 376831 753663
(loop(\(x,i).((x + 1) * x),x,(((2 + 2) * (2 + 1)) + 1)) + 1)
A179090: 14 183 33307 1109322943 1230597390756858307 4611686018427387903 4611686018427387903
((x div ((if (x mod 2) <= 0 then ((x div 2) mod 2) else (2 + 1)) + 1)) + 1)
A087620: 1 1 2 1 5 2 4 2 9 3 6 3 13 4 8 4
((x - 1) mod ((if ((x div 2) mod 2) <= 0 then (x div (2 + 1)) else 1) + 1))
A072927: 0 0 1 0 1 0 1 0 1 0 1 0 1 2 1 0
loop(\(x,i).i,((((0 - x) * x) - 1) mod ((x div (2 + 1)) + 1)),1)
A014600: 1 1 1 1 1 1 2 1 1 2 3 2 1 1 3 2
(if ((x - 2) mod ((2 + 2) + 1)) <= 0 then ((x mod (2 + 1)) - 1) else 1)
A064334: 1 1 1 1 1 1 1 0 1 1 1 1 ~1 1 1 1
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x * 2) + 1),1) + 1)
A152577: 11 1001 100001 10000001 1000000001 100000000001 10000000000001 1000000000000001 100000000000000001 4611686018427387903 4611686018427387903 4611686018427387903
((x mod ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)
A083346: 1 2 3 1 5 6 7 2 3 10 11 3 13 14 15 1
((x mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1)
A327405: 1 2 1 4 1 2 1 8 1 2 1 4 1 2 3 16
(loop(\(x,i).(((x * 2) * 2) - (i mod (2 + 1))),(x + 1),1) - 1)
A037632: 2 9 39 158 633 2535 10142 40569 162279 649118 2596473 10385895 41543582 166174329 664697319 2658789278
(loop(\(x,i).(((((2 + 2) + 1) * x) - 1) * 2),(x + 1),1) + 1)
A173808: 9 79 779 7779 77779 777779 7777779 77777779 777777779 7777777779 77777777779 777777777779 7777777777779 77777777777779 777777777777779 7777777777777779
((x mod loop(\(x,i).i,((((2 + 2) * 2) * 2) mod (x + 1)),1)) + 1)
A297170: 1 1 1 1 1 2 1 1 2 4 1 4 1 2 1 1
loop(\(x,i).((x * 2) * (2 + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013785: 216 279936 362797056 470184984576 609359740010496 789730223053602816 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013783: 125 78125 48828125 30517578125 19073486328125 11920928955078125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x mod ((loop(\(x,i).((x + 2) * x),2,2) mod (x + 1)) + 1)) + 1)
A278509: 1 1 3 1 1 3 3 1 9 1 3 3 1 3 3 1
(loop(\(x,i).((((i mod 2) * (2 + 1)) + 2) * x),(x + 1),1) - 1)
A268099: 4 9 49 99 499 999 4999 9999 49999 99999 499999 999999 4999999 9999999 49999999 99999999
(loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1) + 1)
A051920: 2 2 3 4 7 11 21 36 71 127 253 463 925 1717 3433 6436
(loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1) - 1)
A014495: 0 0 1 2 5 9 19 34 69 125 251 461 923 1715 3431 6434
loop(\(x,i).(x * 2),(x - (((x * x) * 2) div ((0 - 2) - 1))),1)
A186339: 1 4 32 512 32768 4194304 1073741824 1099511627776 2251799813685248 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + 1),(x - ((x div (0 - 2)) - 1)),1)
A198586: 5 85 341 5461 21845 349525 1398101 22369621 89478485 1431655765 5726623061 91625968981 366503875925 5864062014805 23456248059221 375299968947541
((x div (if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 2 else 1)) + 1)
A327526-A062759: 1 2 3 4 5 6 7 8 9 10 11 6 13 14 15 16
((if (x mod 2) <= 0 then ((((x div (2 + 1)) mod 2) + 1) * 2) else 1) + 1)
A116895: 3 2 3 2 5 2 3 2 3 2 5 2 3 2 3 2
(x - (((1 - x) div ((if (x - (2 + 2)) <= 0 then 1 else 2) + 1)) - 1))
A187895: 1 2 4 5 7 8 9 10 12 13 14 16 17 18 20 21
loop(\(x,i).i,((x div 2) - ((((x + 1) div (2 + 1)) mod 2) + 1)),1)
A029115: 1 1 1 1 1 1 2 2 2 2 3 4 5 5 5 5
loop(\(x,i).i,(x mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1)),1)
A090628: 1 1 1 1 1 1 1 1 2 1 1 1 5 6 1 1
(loop(\(x,i).((x * 2) * (2 + 1)),x,(((2 + 1) * 2) + 1)) + 1)
A199321: 8 43 253 1513 9073 54433 326593 1959553 11757313 70543873 423263233 2539579393 15237476353 91424858113 548549148673 3291294892033
(loop(\(x,i).((x * 2) * (2 + 1)),x,(((2 + 1) * 2) + 1)) - 1)
A198795: 6 41 251 1511 9071 54431 326591 1959551 11757311 70543871 423263231 2539579391 15237476351 91424858111 548549148671 3291294892031
((loop(\(x,i).(x * 2),(x - 1),x) * (((2 + 1) * 2) + 1)) + 1)
A048478: 1 8 29 85 225 561 1345 3137 7169 16129 35841 78849 172033 372737 802817 1720321
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 1) * 2) + 1)) + 1)
A199555: 8 57 449 3585 28673 229377 1835009 14680065 117440513 939524097 7516192769 60129542145 481036337153 3848290697217 30786325577729 246290604621825
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 1) * 2) + 1)) - 1)
A198855: 6 55 447 3583 28671 229375 1835007 14680063 117440511 939524095 7516192767 60129542143 481036337151 3848290697215 30786325577727 246290604621823
((x mod ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 1)) * 2) + 1)) + 1)
A078711: 1 2 3 1 2 1 1 2 3 1 2 2 1 2 3 1
((loop(\(x,i).((x + 1) * 2),x,0) * (((x + 1) * 2) + 1)) + 1)
A213763: 1 11 43 127 331 807 1891 4319 9691 21463 47059 102351 221131 475079 1015747 2162623
(if (x mod (2 + 1)) <= 0 then ((x * x) div (((x + 1) * 2) + 1)) else 1)
A240850: 0 1 1 1 1 1 2 1 1 3 1 1 5 1 1 6
(((if x <= 0 then 0 else ((x + 2) + 1)) * (((x + 1) div 2) + 1)) + 1)
A329279: 1 9 11 19 22 33 37 51 56 73 79 99 106 129 137 163
((if (x mod 2) <= 0 then ((2 - ((x mod (2 + 1)) div 2)) * 2) else 1) + 1)
A291358: 5 2 3 2 5 2 5 2 3 2 5 2 5 2 3 2
(loop(\(x,i).((x + 1) * x),x,((((2 + 2) * 2) * 2) + 1)) + 1)
A179121: 18 307 93943 8825193307 4611686018427387903 4611686018427387903 4611686018427387903
(((x div 2) * x) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1))
A334109-A333842-A277885: 0 0 0 1 0 0 0 1 2 0 0 1 0 0 0 1
(((loop(\(x,i).(i * x),x,1) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A086358: 1 1 2 6 6 3 9 9 9 9 9 9 9 9 9 9
(if x <= 0 then 0 else ((((x * 2) - 1) mod (((2 + 2) * 2) + 1)) + 1))
A180592: 0 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3
(if x <= 0 then 0 else ((((0 - x) - 1) mod (((2 + 2) * 2) + 1)) + 1))
A180598: 0 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3
(loop(\(x,i).((x * 2) * (2 + 1)),x,(((2 + 2) * 2) + 1)) + 1)
A199413: 10 55 325 1945 11665 69985 419905 2519425 15116545 90699265 544195585 3265173505 19591041025 117546246145 705277476865 4231664861185
(loop(\(x,i).((x * 2) * (2 + 1)),x,(((2 + 2) * 2) + 1)) - 1)
A198846: 8 53 323 1943 11663 69983 419903 2519423 15116543 90699263 544195583 3265173503 19591041023 117546246143 705277476863 4231664861183
((loop(\(x,i).(x * 2),(x - 1),x) * (((2 + 2) * 2) + 1)) + 1)
A048480: 1 10 37 109 289 721 1729 4033 9217 20737 46081 101377 221185 479233 1032193 2211841
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 2) * 2) + 1)) + 1)
A199556: 10 73 577 4609 36865 294913 2359297 18874369 150994945 1207959553 9663676417 77309411329 618475290625 4947802324993 39582418599937 316659348799489
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 2) * 2) + 1)) - 1)
A198856: 8 71 575 4607 36863 294911 2359295 18874367 150994943 1207959551 9663676415 77309411327 618475290623 4947802324991 39582418599935 316659348799487
((loop(\(x,i).((x + 2) * x),2,x) mod (((2 + 2) * 2) + 1)) + 1)
A303296: 1 7 9 4 4 9 7 1 9 1 7 9 4 4 9 7
loop(\(x,i).(x mod 2),(x mod 2),((x mod (((2 + 2) * 2) + 1)) + 1))
A071649: 1 0 3 0 5 0 7 0 9 1 2 1 4 1 6 1
(loop(\(x,i).(((2 + 2) + 1) * x),x,(((2 + 2) * 2) + 1)) + 1)
A199313: 10 46 226 1126 5626 28126 140626 703126 3515626 17578126 87890626 439453126 2197265626 10986328126 54931640626 274658203126
loop(\(x,i).i,(((x div 2) - 1) div (((x mod (2 + 2)) * 2) - 1)),1)
A081060: 1 1 1 1 1 1 1 1 1 3 1 1 1 5 2 1
((x div (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (2 + 2) else 1)) + 1)
A066990: 1 2 3 4 5 6 7 2 9 10 11 12 13 14 15 4
loop(\(x,i).(x * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017342: 36 256 676 1296 2116 3136 4356 5776 7396 9216 11236 13456 15876 18496 21316 24336
loop(\(x,i).(x * x),2,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017344: 1296 65536 456976 1679616 4477456 9834496 18974736 33362176 54700816 84934656 126247696 181063936 252047376 342102016 454371856 592240896
loop(\(x,i).(x * x),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017378: 81 361 841 1521 2401 3481 4761 6241 7921 9801 11881 14161 16641 19321 22201 25281
loop(\(x,i).(x * x),2,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017380: 6561 130321 707281 2313441 5764801 12117361 22667121 38950081 62742241 96059601 141158161 200533921 276922881 373301041 492884401 639128961
(if x <= 0 then (2 + 2) else ((((x - 1) * 2) div ((2 + 2) + 1)) + 1))
A128211: 4 1 1 1 2 2 3 3 3 4 4 5 5 5 6 6
((((if x <= 0 then 1 else ((x * x) - 1)) * 2) mod ((2 + 2) + 1)) - 1)
A164116: 1 ~1 0 0 ~1 2 ~1 0 0 ~1 2 ~1 0 0 ~1 2
((loop(\(x,i).((x * 2) + 1),x,(2 + 2)) * ((2 + 2) + 1)) + 1)
A250777: 21 46 96 196 396 796 1596 3196 6396 12796 25596 51196 102396 204796 409596 819196
(if (x - 1) <= 0 then x else ((((x + 2) * 2) div ((2 + 2) + 1)) + 1))
A230418: 0 1 2 3 3 3 4 4 5 5 5 6 6 7 7 7
((loop(\(x,i).((2 + 1) * x),(x * 2),2) * ((2 + 2) + 1)) + 1)
A199678: 11 91 811 7291 65611 590491 5314411 47829691 430467211 3874204891 34867844011 313810596091 2824295364811 25418658283291 228767924549611 2058911320946491
((loop(\(x,i).((2 + 1) * x),(x * 2),2) * ((2 + 2) + 1)) - 1)
A198967: 9 89 809 7289 65609 590489 5314409 47829689 430467209 3874204889 34867844009 313810596089 2824295364809 25418658283289 228767924549609 2058911320946489
((loop(\(x,i).((x * 2) * (2 + 1)),x,2) * ((2 + 2) + 1)) + 1)
A199414: 11 61 361 2161 12961 77761 466561 2799361 16796161 100776961 604661761 3627970561 21767823361 130606940161 783641640961 4701849845761
((loop(\(x,i).((x * 2) * (2 + 1)),x,2) * ((2 + 2) + 1)) - 1)
A198847: 9 59 359 2159 12959 77759 466559 2799359 16796159 100776959 604661759 3627970559 21767823359 130606940159 783641640959 4701849845759
((loop(\(x,i).(((x * 2) * 2) * 2),x,2) * ((2 + 2) + 1)) + 1)
A199557: 11 81 641 5121 40961 327681 2621441 20971521 167772161 1342177281 10737418241 85899345921 687194767361 5497558138881 43980465111041 351843720888321
((loop(\(x,i).(((x * 2) * 2) * 2),x,2) * ((2 + 2) + 1)) - 1)
A198857: 9 79 639 5119 40959 327679 2621439 20971519 167772159 1342177279 10737418239 85899345919 687194767359 5497558138879 43980465111039 351843720888319
loop(\(x,i).(0 - x),x,((((2 - x) div 2) div ((2 + 2) + 1)) + 1))
A014087: 1 ~1 1 0 0 0 0 0 0 0 0 0 0 1 ~1 1
(if ((x + 1) mod (2 + 2)) <= 0 then ((x + 2) div ((2 + 2) + 1)) else 1)
A280688-A095136: 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3
loop(\(x,i).(((2 + 1) * x) + 2),((x div 2) - ((2 + 2) + 1)),1)
A147206-A147167-A146876-A146860-A146852-A146836-A146796-A146780-A146719-A146647: 1 1 1 1 1 1 1 1 1 1 1 1 5 5 17 17
(x - (((2 - (if (2 - x) <= 0 then x else 2)) * ((2 + 2) + 1)) - 1))
A091361: 1 2 3 9 15 21 27 33 39 45 51 57 63 69 75 81
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,((2 + 2) + 1)) - 1)
A199107: 4 59 719 8639 103679 1244159 14929919 179159039 2149908479 25798901759 309586821119 3715041853439 44580502241279 534966026895359 6419592322744319 77035107872931839
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) + 1)) + 1)
A199685: 6 51 501 5001 50001 500001 5000001 50000001 500000001 5000000001 50000000001 500000000001 5000000000001 50000000000001 500000000000001 5000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) + 1)) - 1)
A198971: 4 49 499 4999 49999 499999 4999999 49999999 499999999 4999999999 49999999999 499999999999 4999999999999 49999999999999 499999999999999 4999999999999999
(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then (x - ((2 + 2) + 1)) else 1)
A340365: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1
(if (((x * x) div 2) mod (2 + 1)) <= 0 then (x div ((2 + 2) + 1)) else 1)
A327342: 0 0 1 1 1 1 1 1 1 1 1 2 2 2 1 1
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((2 + 2) + 1)) + 1)
A199422: 6 36 246 1716 12006 84036 588246 4117716 28824006 201768036 1412376246 9886633716 69206436006 484445052036 3391115364246 23737807549716
(loop(\(x,i).((x * x) + (x mod 2)),x,((x div (2 + 2)) + 1)) + 1)
A268210-A004249: 2 3 5 17 65537
(if (2 - (x div (2 + 2))) <= 0 then (x div ((x div (2 + 2)) + 1)) else 1)
A121242-A065681-A025789: 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3 3
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(((x * 2) * 2) + 1),1)
A013796: 12 248832 5159780352 106993205379072 2218611106740436992 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((x * 2) * 2) + 1),1)
A013792: 10 100000 1000000000 10000000000000 100000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((x * 2) * 2) + 1),1)
A013786: 7 16807 40353607 96889010407 232630513987207 558545864083284007 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((x - 1) mod (2 + 1)) + 1) * (if x <= 0 then 0 else (2 + 1))) + 1)
A118517: 1 4 7 10 4 7 10 4 7 10 4 7 10 4 7 10
(((loop(\(x,i).(((i + x) * 2) + x),x,1) + 1) * (2 + 1)) + 1)
A092359: 7 19 61 193
((if x <= 0 then 2 else (((x + 2) mod ((2 + 2) + 1)) div (2 + 1))) + 1)
A077450: 3 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1
(if (x mod 2) <= 0 then ((x div ((x mod (2 + 2)) + 1)) mod (2 + 1)) else 1)
A339455: 0 1 0 1 1 1 2 1 2 1 0 1 0 1 1 1
loop(\(x,i).((i + 1) * x),(((x * 2) * (2 + 1)) * (2 + 1)),1)
A198801: 1 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903
(((((if (x mod 2) <= 0 then x else 1) + x) mod (2 + 1)) * (2 + 1)) + 1)
A153349: 1 7 4 4 7 1 1 7 4 4 7 1 1 7 4 4
((((if (x mod 2) <= 0 then x else (2 - x)) mod (2 + 1)) * (2 + 1)) + 1)
A084104: 1 4 7 7 4 1 1 4 7 7 4 1 1 4 7 7
(if (x mod (2 + 2)) <= 0 then ((1 - (x div (2 + 1))) mod (2 + 1)) else 1)
A257179: 1 1 1 1 0 1 1 1 2 1 1 1 0 1 1 1
((((if (x mod 2) <= 0 then (2 - x) else x) mod (2 + 1)) * (2 + 1)) + 1)
A131028: 7 4 1 1 4 7 7 4 1 1 4 7 7 4 1 1
((((loop(\(x,i).(x * 2),x,2) mod (x + 2)) + 1) div (2 + 1)) + 1)
A243928: 1 1 1 1 2 1 1 2 2 1 4 1 2 2 1 1
(loop(\(x,i).(((x + 2) + 2) * 2),((x + 2) + 1),(2 + 1)) + 1)
A250655: 81 169 345 697 1401 2809 5625 11257 22521 45049 90105 180217 360441 720889 1441785 2883577
(if x <= 0 then 1 else ((x * x) mod ((((x div 2) + 1) div (2 + 1)) + 1)))
A011746: 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0
((loop(\(x,i).((x + 1) * 2),x,((x mod 2) + 1)) div (2 + 1)) + 1)
A239024: 1 3 4 11 16 43 64 171 256 683 1024 2731 4096 10923 16384 43691
((loop(\(x,i).((x + 2) * 2),x,((x mod 2) + 1)) div (2 + 1)) + 1)
A282123: 1 3 6 15 26 63 106 255 426 1023 1706 4095 6826 16383 27306 65535
((loop(\(x,i).(x - (i - ((x * 2) + 1))),x,1) div (2 + 1)) + 1)
A131959: 1 2 3 8
A006545: 1 2 3 8 22 62
(if (2 - x) <= 0 then (((((x div 2) mod 2) + x) + 1) div (2 + 1)) else 1)
A087831: 1 1 1 1 1 2 2 3 3 3 4 4 4 4 5 5
loop(\(x,i).(x * x),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017654: 121 529 1225 2209 3481 5041 6889 9025 11449 14161 17161 20449 24025 27889 32041 36481
loop(\(x,i).(x * x),2,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017656: 14641 279841 1500625 4879681 12117361 25411681 47458321 81450625 131079601 200533921 294499921 418161601 577200625 777796321 1026625681 1330863361
((((if x <= 0 then 2 else ((x * x) * 2)) * (x + 1)) * (2 + 1)) - 1)
A216071: 5 11 71
(loop(\(x,i).((x * x) * (x * 2)),1,((x + 1) * (2 + 1))) - 1)
A181968: 53 431 1457 3455 6749 11663 18521 27647 39365 53999 71873 93311 118637 148175 182249 221183
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x + 1) * (2 + 1)),1)
A060365: 1000 1000000 1000000000 1000000000000 1000000000000000 1000000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - (x div (2 + 1))) * 2),((x + 1) div (2 + 1)),1)
A096445: 1 1 2 2 2 4 4
A123050-A079438: 1 1 2 2 2 4 4 4 6 6 6 8 8 8 12 12
(if (x - (2 + 1)) <= 0 then (x + 1) else (((x - 1) mod (2 + 1)) + 1))
A322424: 1 2 3 4 1 2 3 1 2 3 1 2 3 1 2 3
((loop(\(x,i).(((x div (i + 2)) + i) + x),x,1) div (2 + 1)) + 1)
A102424: 1 1 2 3 5 7 9 12 16 20 25 30 36 43 50 58
(((x - (if ((x div (2 + 2)) - 2) <= 0 then 0 else 2)) div (2 + 1)) + 1)
A026819: 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5 5
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A222011: 1 2 4 8
A036120: 1 2 4 8 16 13 7 14 9 18 17 15 11 3 6 12
loop(\(x,i).((2 + 1) * x),x,((((2 + 1) * 2) * (2 + 1)) + 1))
A176413: 19 57 171 513 1539 4617 13851 41553 124659 373977 1121931 3365793 10097379 30292137 90876411 272629233
loop(\(x,i).(x * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017606: 49 361 961 1849 3025 4489 6241 8281 10609 13225 16129 19321 22801 26569 30625 34969
loop(\(x,i).(x * x),2,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017608: 2401 130321 923521 3418801 9150625 20151121 38950081 68574961 112550881 174900625 260144641 373301041 519885601 705911761 937890625 1222830961
loop(\(x,i).(x * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017582: 25 289 841 1681 2809 4225 5929 7921 10201 12769 15625 18769 22201 25921 29929 34225
loop(\(x,i).(x * x),2,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017584: 625 83521 707281 2825761 7890481 17850625 35153041 62742241 104060401 163047361 244140625 352275361 492884401 671898241 895745041 1171350625
loop(\(x,i).(x * 2),((((x + 2) * (x + 1)) div 2) div (2 + 1)),1)
A222011: 1 2 4 8
A307611: 1 2 4 8 32
A186340: 1 2 4 8 32 128 512 4096 32768 262144 4194304 67108864 1073741824 34359738368 1099511627776 35184372088832
(loop(\(x,i).((x * x) * 2),1,(((x + 1) * 2) * (2 + 1))) - 1)
A158738: 71 287 647 1151 1799 2591 3527 4607 5831 7199 8711 10367 12167 14111 16199 18431
loop(\(x,i).(x * x),(2 + 1),((((x + 1) * 2) * (2 + 1)) - 1))
A016976: 390625 214358881 6975757441 78310985281 500246412961 2251875390625 7984925229121 23811286661761 62259690411361 146830437604321 318644812890625 645753531245761 1235736291547681 2252292232139041
loop(\(x,i).((x * x) * x),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016971: 125 1331 4913 12167 24389 42875 68921 103823 148877 205379 274625 357911 456533 571787 704969 857375
loop(\(x,i).((x * x) * x),2,((((x + 1) * 2) * (2 + 1)) - 1))
A016977: 1953125 2357947691 118587876497 1801152661463 14507145975869 78815638671875 327381934393961 1119130473102767 3299763591802133 8662995818654939 20711912837890625 45848500718449031 95151694449171437
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A222011: 1 2 4 8
A070336: 1 2 4 8 16 7 14 3 6 12 24 23 21 17 9 18
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A222011: 1 2 4 8
A070335: 1 2 4 8 16 9 18 13 3 6 12 1 2 4 8 16
(((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2) * (2 + 1)) - 1)
A248877: 23 71 167 359 743 1511 3047 6119 12263 24551 49127 98279 196583 393191 786407 1572839
(if x <= 0 then 1 else ((((2 - x) + 1) mod ((2 + 2) * (2 + 1))) + 1))
A280512: 1 3 2 1 12 11 10 9 8 7 6 5 4 3 2 1
(loop(\(x,i).((x * 2) * 2),x,1) mod (((2 + 2) * (2 + 1)) + 1))
A168430: 1 4 3 12 9 10 1 4 3 12 9 10 1 4 3 12
(loop(\(x,i).((x * 2) * 2),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A168429: 1 4 5 9 3 1 4 5 9 3 1 4 5 9 3 1
(loop(\(x,i).((0 - x) * 2),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A187466: 1 9 4 3 5 1 9 4 3 5 1 9 4 3 5 1
(loop(\(x,i).((2 + 1) * x),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A070341: 1 3 9 5 4 1 3 9 5 4 1 3 9 5 4 1
loop(\(x,i).(((x * 2) * 2) + 1),x,(((2 + 2) * (2 + 1)) - 1))
A072262: 11 45 181 725 2901 11605 46421 185685 742741 2970965 11883861 47535445 190141781 760567125 3042268501 12169074005
(if x <= 0 then 1 else (((x - ((2 - x) div (2 + 2))) * (2 + 1)) - 1))
A251536: 1 2 5 11 14 17 20 26 29 32 35 41 44 47 50 56
((if (x mod 2) <= 0 then 2 else ((2 - (x mod (2 + 2))) * (2 + 1))) - 1)
A133186: 1 2 1 ~4 1 2 1 ~4 1 2 1 ~4 1 2 1 ~4
loop(\(x,i).(x * x),(2 + 1),((((x * 2) * 2) * (2 + 1)) + 1))
A017540: 1 815730721 152587890625 3512479453921 33232930569601 191707312997281 806460091894081 2724905250390625 7837433594376961 19925626416901921 45949729863572161 97906861202319841
loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017535: 1 2197 15625 50653 117649 226981 389017 614125 912673 1295029 1771561 2352637 3048625 3869893 4826809 5929741
loop(\(x,i).((x * x) * x),2,((((x * 2) * 2) * (2 + 1)) + 1))
A017541: 1 10604499373 3814697265625 129961739795077 1628413597910449 11694146092834141 58871586708267913 231616946283203125 760231058654565217 2171893279442309389 4611686018427387903
loop(\(x,i).(x * x),1,(x - ((((x * 2) * 2) * (2 + 1)) + 1)))
A017402: 1 144 529 1156 2025 3136 4489 6084 7921 10000 12321 14884 17689 20736 24025 27556
loop(\(x,i).(x * x),2,(x - ((((x * 2) * 2) * (2 + 1)) + 1)))
A017404: 1 20736 279841 1336336 4100625 9834496 20151121 37015056 62742241 100000000 151807041 221533456 312900721 429981696 577200625 759333136
((x - (if x <= 0 then 0 else 1)) div ((((x div 2) + 2) div (2 + 1)) + 1))
A140361: 0 0 0 1 1 2 2 3 2 2 3 3 3 4 3 3
loop(\(x,i).(x * 2),(x div 2),((((x mod 2) + 2) * (2 + 1)) - 1))
A164682: 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024
(((loop(\(x,i).((x * x) * x),(x * x),2) + 2) * (2 + 1)) - 1)
A057739: 11 29 4611686018427387903
loop(\(x,i).(x * x),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017246: 49 256 625 1156 1849 2704 3721 4900 6241 7744 9409 11236 13225 15376 17689 20164
loop(\(x,i).(x * x),2,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017248: 2401 65536 390625 1336336 3418801 7311616 13845841 24010000 38950081 59969536 88529281 126247696 174900625 236421376 312900721 406586896
loop(\(x,i).(x * x),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017222: 25 196 529 1024 1681 2500 3481 4624 5929 7396 9025 10816 12769 14884 17161 19600
loop(\(x,i).(x * x),2,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017224: 625 38416 279841 1048576 2825761 6250000 12117361 21381376 35153041 54700816 81450625 116985856 163047361 221533456 294499921 384160000
(((loop(\(x,i).(((i + x) * x) + 1),2,x) * 2) div (2 + 1)) - 1)
A001846: 1 9 41 129 321 681 1289 2241 3649 5641 8361 11969 16641 22569 29961 39041
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) * (2 + 1)) + 1)
A199686: 7 61 601 6001 60001 600001 6000001 60000001 600000001 6000000001 60000000001 600000000001 6000000000001 60000000000001 600000000000001 6000000000000001
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) * (2 + 1)) - 1)
A099151: 5 59 599 5999 59999 599999 5999999 59999999 599999999 5999999999 59999999999 599999999999 5999999999999 59999999999999 599999999999999 5999999999999999
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) + 1)
A145126: 1 2 6 16 36 71 127 211 331 496 716 1002 1366 1821 2381 3061
((loop(\(x,i).(((i mod 2) + x) * 2),x,(x + 2)) div (2 + 1)) + 1)
A127984: 1 3 7 17 39 89 199 441 967 2105 4551 9785 20935 44601 94663 200249
(2 - loop(\(x,i).((x - (i mod 2)) * 2),((x - 2) div (2 + 1)),1))
A307616: 1 1 1 1 1 2 2 2 2 2 2 4 4 4 6 6
((if (x mod (2 + 1)) <= 0 then 1 else x) mod (((x div 2) div (2 + 1)) + 1))
A220136: 0 0 0 0 0 0 1 1 0 1 0 1 1 1 2 1
((((if (x - 1) <= 0 then x else 2) + x) + ((x div 2) div (2 + 1))) + 1)
A163162: 1 3 5 6 7 8 10 11 12 13 14 15 17 18 19 20
(if x <= 0 then 1 else ((x * 2) - (x mod (((x div 2) mod (2 + 1)) + 1))))
A072920: 1 2 4 5 7 8 12 14 16 17 19 20 24 26 28 29
(x - ((((if (x mod 2) <= 0 then 1 else x) - (x div 2)) div (2 + 1)) - 1))
A260307: 1 2 3 4 6 5 8 7 10 9 13 10 15 12 17 14
((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) div (2 + 1)) + 1)
A135318: 1 1 1 2 3 4 5 8 11 16 21 32 43 64 85 128
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * (2 + 1)) + 1)
A199483: 7 43 295 2059 14407 100843 705895 4941259 34588807 242121643 1694851495 11863960459 83047723207 581334062443 4069338437095 28485369059659
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * (2 + 1)) - 1)
A198688: 5 41 293 2057 14405 100841 705893 4941257 34588805 242121641 1694851493 11863960457 83047723205 581334062441 4069338437093 28485369059657
(((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1)
A318509: 1 1 2 1 3 2 3 1 4 3 5 2 5 3 6 1
(if (x mod ((2 + 2) + 1)) <= 0 then (((x * x) div 2) mod (2 + 1)) else 1)
A086251: 0 1 1 1 1 0 1 1 1 1 2 1 1 1 1 1
(x - ((((if (x mod (2 + 2)) <= 0 then 1 else 0) - x) div (2 + 1)) - 1))
A304800: 1 3 4 5 6 8 9 11 12 13 15 16 17 19 20 21
((if x <= 0 then 1 else ((((x div 2) div (2 + 1)) + x) * (2 + 1))) + 1)
A137281: 2 4 7 10 13 16 22 25 28 31 34 37 43 46 49 52
loop(\(x,i).(x * x),(2 + 1),((((2 + 1) * x) * (2 + 1)) + 1))
A017180: 1 100000000 16983563041 377801998336 3512479453921 20047612231936 83733937890625 281474976710656 806460091894081 2044140858654976 4702525276151521 10000000000000000 19925626416901921 37588592026706176
loop(\(x,i).((x * x) * x),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017175: 1 1000 6859 21952 50653 97336 166375 262144 389017 551368 753571 1000000 1295029 1643032 2048383 2515456
loop(\(x,i).((x * x) * x),2,((((2 + 1) * x) * (2 + 1)) + 1))
A017181: 1 1000000000 322687697779 10578455953408 129961739795077 922190162669056 4605366583984375 18014398509481984 58871586708267913 167619550409708032 427929800129788411 1000000000000000000
((if (x - (2 + 2)) <= 0 then x else (2 - ((1 - x) div (2 + 1)))) + 1)
A180600: 1 2 3 4 5 5 5 5 6 6 6 7 7 7 8 8
((if (x mod (2 + 1)) <= 0 then 2 else (x - ((1 - x) mod (2 + 1)))) + 1)
A244477: 3 2 1 3 5 4 3 8 7 3 11 10 3 14 13 3
((loop(\(x,i).(((x * 2) + 1) * 2),(x + 1),x) div (2 + 1)) + 1)
A014916: 1 9 57 313 1593 7737 36409 167481 757305 3378745 14913081 65244729 283348537 1222872633 5249404473 22429273657
loop(\(x,i).((x div 2) * x),1,((((x + 1) * x) * (2 + 1)) + 1))
A241219: 0 21 171 666 1830 4095 8001 14196 23436 36585 54615 78606 109746 149331 198765 259560
loop(\(x,i).((x * x) * x),1,((((x + 1) * x) * (2 + 1)) + 1))
A277636: 1 343 6859 50653 226981 753571 2048383 4826809 10218313 19902511 36264691 62570773 103161709 163667323 251239591 374805361
(((1 - (((2 + 1) * 2) mod (if x <= 0 then 1 else x))) mod (2 + 1)) + 1)
A194330: 2 2 2 2 3 1 2 2 2 2 2 2 2 2 2 2
((loop(\(x,i).(x + 2),(x - ((2 + 2) * 2)),x) div (2 + 1)) + 1)
A029060: 1 1 1 2 2 2 3 3 3 4 5 6 7 8 9 10
(if (2 - x) <= 0 then ((((x div (2 + 2)) mod 2) + x) div (2 + 1)) else 1)
A283422: 1 1 0 1 1 2 2 2 2 3 3 3 4 4 5 5
(((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 0) - (x div (2 + 1))) - 1)
A101677: 1 1 ~1 ~2 ~2 ~2 ~1 ~1 ~3 ~4 ~4 ~4 ~3 ~3 ~5 ~6
(if (((x div 2) + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 1)
A337201-A337200: 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1
loop(\(x,i).(x * 2),((((x - 1) * x) div 2) + (x div (2 + 1))),1)
A171451: 1 1 2 16 128 2048 131072 8388608 1073741824 549755813888 281474976710656 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((if (x - 1) <= 0 then x else 2) + x) + 2) + (x div (2 + 1))) + 1)
A281005: 3 5 7 9 10 11 13 14 15 17 18 19 21 22 23 25
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * ((x div (2 + 1)) + 1))
A132328: 1 1 1 2 2 2 3 3 3 8 8 8 10 10 10 12
loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),(x div (2 + 1)),1)
A190717: 1 1 1 4 4 4 10 10 10 20 20 20 35 35 35 56
(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (0 - (x mod (2 + 1))) else 1)
A189022-A053865: 1 1 1 1 1 1 1 ~1 1 1 1 1 1 1 1 0
(loop(\(x,i).((x + 2) * 2),(x div (2 + 1)),(x mod (2 + 1))) + 1)
A200672: 1 2 3 5 7 9 13 17 21 29 37 45 61 77 93 125
(((if (x - 1) <= 0 then 2 else ((x * 2) * 2)) + (x mod (2 + 1))) - 1)
A098934: 1 2 9 11 16
loop(\(x,i).((x * 2) * 2),(x div (2 + 1)),((x mod (2 + 1)) + 1))
A133464: 1 2 3 4 8 12 16 32 48 64 128 192 256 512 768 1024
((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) div ((x mod (2 + 1)) + 1))
A025857: 1 0 0 1 0 0 1 0 0 1 1 0 2 1 0 2
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(2 + 1)) + 1)
A199752: 4 34 364 3994 43924 483154 5314684 58461514 643076644 7073843074 77812273804 855935011834 9415285130164 103568136431794 1139249500749724 12531744508246954
(if x <= 0 then 0 else (((((x mod (2 + 1)) + x) * x) div (2 + 1)) + 1))
A305185: 0 1 3 4 7 12 13 19 27 28 37 48 49 61 75 76
((loop(\(x,i).((((i mod 2) + x) * 2) + 1),x,x) div (2 + 1)) + 1)
A059570: 1 2 6 14 34 78 178 398 882 1934 4210 9102 19570 41870 89202 189326
((((if ((x div (0 - 2)) mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) - 1)
A117441: 1 1 0 1 ~1 0 ~1 ~1 0 ~1 1 0 1 1 0 1
(((x + 2) - ((2 - x) div (((if x <= 0 then 2 else x) div 2) + 1))) + 1)
A180221: 2 3 5 7 8 9 10 12 13 14 15 16 17 18 19 20
((x div ((loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)) + 1)) + 1)
A255198: 1 1 1 4 1 6 2 2 5
loop(\(x,i).((x + 1) * x),(((x * 2) * 2) div ((x + 2) + 1)),1)
A196872: 1 2 2 6 6 6 6 6 6 42 42 42 42 42 42 42
(x - (loop(\(x,i).(((x div (i + 1)) + x) - 1),(x - 2),1) - 1))
A296349: 0 1 2 4 6 9 12 15 18 22 26 30 34 38 42 46
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),((x * 2) + 1),1)
A013725: 20 8000 3200000 1280000000 512000000000 204800000000000 81920000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),((x * 2) + 1),1)
A013720: 15 3375 759375 170859375 38443359375 8649755859375 1946195068359375 437893890380859375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),((x * 2) + 1),1)
A013723: 18 5832 1889568 612220032 198359290368 64268410079232 20822964865671168 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),((x * 2) + 1),1)
A013729: 24 13824 7962624 4586471424 2641807540224 1521681143169024 876488338465357824 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),((x * 2) + 1),1)
A320859: 32 32768 33554432 34359738368 35184372088832 36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),((x * 2) + 1),1)
A013719: 14 2744 537824 105413504 20661046784 4049565169664 793714773254144 155568095557812224 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (x div ((((2 - x) + 2) mod ((x * 2) + 1)) + 1)))
A089418: 1 1 0 1 4 0 0 0 0 0 0 0 0 0 0 0
loop(\(x,i).((x div (2 - (x mod 2))) * (i + 2)),((x * 2) + 1),1)
A160473: 3 30 315 11340 311850 12162150 638512875 86837751000 7424627710500 779585909602500 98617617564716250 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),((x * 2) + 1),1)
A013718: 13 2197 371293 62748517 10604499373 1792160394037 302875106592253 51185893014090757 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),((x * 2) + 1),1)
A013716: 11 1331 161051 19487171 2357947691 285311670611 34522712143931 4177248169415651 505447028499293771 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),((x * 2) + 1),1)
A013722: 17 4913 1419857 410338673 118587876497 34271896307633 9904578032905937 2862423051509815793 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 1) * i) * 2) + x),((x * 2) + 1),1)
A212668: 9 65 201 449 841 1409 2185 3201 4489 6081 8009 10305 13001 16129 19721 23809
loop(\(x,i).(((((i div 2) * 2) + 1) * x) * 2),((x * 2) - 1),1)
A123072: 1 2 72 7200 1411200 457228800 221298739200 149597947699200 134638152929280000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * x) * (x + 2)) + 1) * x),(x * 2),1) + 1)
A176937: 2 389 4611686018427387903
(if x <= 0 then 1 else ((x div 2) mod ((x mod ((2 - (x mod 2)) + 1)) + 1)))
A265246: 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1
((if x <= 0 then 1 else (((x * x) * (x * 2)) * ((x mod 2) + 1))) + 1)
A161609: 2 5 17 109
(loop(\(x,i).(x - (x div (((2 + 2) * (0 - 2)) - 1))),x,1) - 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A279080: 0 1 2 3 4 5 6 7 8 9 11 13 15 17 19 22
((if ((x - 1) mod ((((x mod 2) * 2) * 2) + 1)) <= 0 then x else 1) + 1)
A057815: 1 2 3 2 5 2 7 2 9 2 11 12 13 2 15 2
((if ((2 - x) mod (((x + 1) mod (2 + 2)) + 1)) <= 0 then x else 1) + 1)
A284255-A284253: 1 2 3 4 5 6 7 8 9 2 11 12 13 2 15 16
loop(\(x,i).((x * 2) * (2 + 1)),((((2 + 2) + 1) * x) + 1),1)
A013838: 6 46656 362797056 2821109907456 21936950640377856 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),((((2 + 2) + 1) * x) + 1),1)
A013846: 8 262144 8589934592 281474976710656 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013834: 5 15625 48828125 152587890625 476837158203125 1490116119384765625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),((2 + 1) * x),1) + 1)
A271527: 2 1001 1000001 1000000001 1000000000001 1000000000000001 1000000000000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(((2 + 1) * x) + 1),1)
A013750: 12 20736 35831808 61917364224 106993205379072 184884258895036416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 + 1) * x) + 1),1)
A013746: 10 10000 10000000 10000000000 10000000000000 10000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((2 + 1) * x) + 1),1)
A013740: 7 2401 823543 282475249 96889010407 33232930569601 11398895185373143 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * (x + 1)),((x div (2 + 1)) + x),1) + 1)
A093625: 2 5 41 21523361 926510094425921 4611686018427387903
(loop(\(x,i).(((x + 2) * x) * 2),((x div (2 + 1)) + x),1) + 1)
A277434: 2 7 97 708158977
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) - 1)
A010763: 0 2 9 34 125 461 1715 6434 24309 92377 352715 1352077 5200299 20058299 77558759 300540194
(loop(\(x,i).(x - (((i + 2) * i) div ((0 - x) - 1))),x,1) + 1)
A003066: 2 4 6 9 12 15 19 23 27 31 35 40 45 50 55 60
(loop(\(x,i).(((x * x) * x) div 2),1,(((x + 1) * x) - 1)) + 1)
A152725: 0 1 63 666 3430 12195 34461 83188 178956 352485 647515 1124046 1861938 2964871 4564665 6825960
(loop(\(x,i).((x * x) * (2 + 2)),(((x + 1) div 2) * x),1) + 1)
A268211: 2 5 65 4611686018427387903
(loop(\(x,i).(x - (x div (((x div 2) div (0 - 2)) - 2))),x,1) + 1)
A158923: 2 3 4 5 7 9 11 13 16 19 22 25 28 31 34 38
(loop(\(x,i).(x - (x div (((x div (2 + 2)) - 2) - 2))),x,1) + 1)
A239048: 2 3 4 5 7 9 13 25
((if (x mod 2) <= 0 then (x div 2) else ((((2 + 2) * 2) + x) + 1)) + 1)
A303785: 1 11 2 13 3 15 4 17 5 19 6 21 7 23 8 25
((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1)
A325446: 1 1 1 1 1 3 1 1 1 3 1 3 1 3 3 1
(loop(\(x,i).((i + 1) * x),((((x div 2) * x) mod 2) + x),1) + 1)
A201363: 2 3 7
A062935: 2 3 7 121
A083436: 2 3 7 121 121
(loop(\(x,i).((x - (1 - ((i mod 2) * 2))) * (x + 2)),x,1) + 1)
A109172: 2 7 41 1723 2967005 8803121637031 4611686018427387903
(loop(\(x,i).((x * x) * (x + 1)),1,(((x + 2) * x) + 1)) + 1)
A123656: 3 81 811 4353 16251 47953 120051 266241 538003 1010001 1786203 3006721 4855371 7567953 11441251 16842753
((loop(\(x,i).((x * x) + 2),2,2) * (((x + 2) * x) + 1)) - 1)
A158596: 37 151 341 607 949 1367 1861 2431 3077 3799 4597 5471 6421 7447 8549 9727
((loop(\(x,i).((x + 1) * x),2,2) * (((x + 2) * x) + 1)) - 1)
A158626: 41 167 377 671 1049 1511 2057 2687 3401 4199 5081 6047 7097 8231 9449 10751
((loop(\(x,i).((x + 2) * x),2,2) * (((x + 2) * x) + 1)) - 1)
A158774: 79 319 719 1279 1999 2879 3919 5119 6479 7999 9679 11519 13519 15679 17999 20479
((((x + 2) * (x + 1)) div 2) * (loop(\(x,i).(x * 2),x,1) + 1))
A273652: 2 9 30 90 255 693 1820 4644 11565 28215 67650 159822 372827 860265 1966200 4456584
((loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) * (x + 1)) + 1)
A157956: 201 401 601 801 1001 1201 1401 1601 1801 2001 2201 2401 2601 2801 3001 3201
((loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) * (x + 1)) - 1)
A157955: 199 399 599 799 999 1199 1399 1599 1799 1999 2199 2399 2599 2799 2999 3199
(((loop(\(x,i).((i + x) * x),2,(2 + 1)) + 1) * (x + 1)) + 1)
A158221: 170 339 508 677 846 1015 1184 1353 1522 1691 1860 2029 2198 2367 2536 2705
(if (x mod 2) <= 0 then (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) else 1)
A339421: 0 1 0 1 0 1 0 1 1 1 3 1 5 1 7 1
(((loop(\(x,i).((x * x) - 1),2,(2 + 2)) + 1) * (x + 1)) + 1)
A158229: 226 451 676 901 1126 1351 1576 1801 2026 2251 2476 2701 2926 3151 3376 3601
(((loop(\(x,i).((i + x) * x),2,(2 + 2)) + 1) * (x + 1)) + 1)
A158322: 442 883 1324 1765 2206 2647 3088 3529 3970 4411 4852 5293 5734 6175 6616 7057
(loop(\(x,i).((x * x) * 2),1,(((2 + 2) + 1) * (x + 1))) + 1)
A157916: 51 201 451 801 1251 1801 2451 3201 4051 5001 6051 7201 8451 9801 11251 12801
(loop(\(x,i).((x * x) * 2),1,(((2 + 2) + 1) * (x + 1))) - 1)
A157919: 49 199 449 799 1249 1799 2449 3199 4049 4999 6049 7199 8449 9799 11249 12799
((loop(\(x,i).((i + x) * (x + 2)),2,(2 + 1)) * (x + 1)) + 1)
A158326: 485 969 1453 1937 2421 2905 3389 3873 4357 4841 5325 5809 6293 6777 7261 7745
((loop(\(x,i).((i + x) * (x + 2)),2,(2 + 1)) * (x + 1)) - 1)
A158330: 483 967 1451 1935 2419 2903 3387 3871 4355 4839 5323 5807 6291 6775 7259 7743
(((loop(\(x,i).((i + x) * (x + 1)),2,x) + 1) div (x + 1)) + 1)
A197773: 8 16 38 77 141 235 365 537 757 1031 1365 1765 2237 2787 3421 4145
(loop(\(x,i).(x * x),2,((((x + 2) * x) + 1) * (x + 1))) - 1)
A123868: 0 4095 531440 16777215 244140624 2176782335 13841287200 68719476735 282429536480 999999999999 3138428376720 8916100448255 23298085122480 56693912375295 129746337890624 281474976710655
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x + 1),(x + 1)) - 1)
A064758: 11 287 5183 82943 1244159 17915903 250822655 3439853567 46438023167 619173642239 8173092077567 106993205379071 1390911669927935 17974858503684095 231105323618795519 2958148142320582655
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),(x + 1)) - 1)
A064756: 9 199 2999 39999 499999 5999999 69999999 799999999 8999999999 99999999999 1099999999999 11999999999999 129999999999999 1399999999999999 14999999999999999 159999999999999999
loop(\(x,i).(x - (((x * 2) * 2) div ((0 - i) - 1))),(x + 1),1)
A036830: 3 7 14 26 44 70 105 152 213 291 388 508 654 829 1037 1281
((((((2 + 1) * 2) + (if x <= 0 then 0 else 1)) * 2) * (x + 1)) + 1)
A120827: 13 29 43
(loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),2,(x + 1)) + 1)
A158313: 401 801 1201 1601 2001 2401 2801 3201 3601 4001 4401 4801 5201 5601 6001 6401
(loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),2,(x + 1)) - 1)
A158317: 399 799 1199 1599 1999 2399 2799 3199 3599 3999 4399 4799 5199 5599 5999 6399
(loop(\(x,i).((((2 + 2) + 1) * 2) div (x + 1)),2,(x + 1)) - 1)
A082852: 0 1 2 2 4 4 4 4 4 9 9 9 9 9 9 9
((loop(\(x,i).(((x + 2) * (x + 1)) + 2),2,2) * (x + 1)) - 1)
A157961: 241 483 725 967 1209 1451 1693 1935 2177 2419 2661 2903 3145 3387 3629 3871
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) * 2) * (x + 1)) - 1))
A017156: 5764801 2562890625 78310985281 852891037441 5352009260481 23811286661761 83733937890625 248155780267521 645753531245761 1517108809906561 3282116715437121 6634204312890625 12667700813876161
loop(\(x,i).((x * x) * x),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017151: 343 3375 12167 29791 59319 103823 166375 250047 357911 493039 658503 857375 1092727 1367631 1685159 2048383
loop(\(x,i).((x * x) * x),2,((((2 + 2) * 2) * (x + 1)) - 1))
A017157: 40353607 38443359375 1801152661463 26439622160671 208728361158759 1119130473102767 4605366583984375 15633814156853823 45848500718449031 119851595982618319 285544154243029527 630249409724609375
((loop(\(x,i).(((i + x) * i) * (x + 2)),2,2) * (x + 1)) - 1)
A158004: 391 783 1175 1567 1959 2351 2743 3135 3527 3919 4311 4703 5095 5487 5879 6271
((loop(\(x,i).(((x + 2) * x) + 1),2,(2 + 2)) * (x + 1)) - 1)
A158393: 675 1351 2027 2703 3379 4055 4731 5407 6083 6759 7435 8111 8787 9463 10139 10815
(((((if (x mod 2) <= 0 then 2 else 0) + x) * (2 + 2)) * (x + 1)) - 1)
A173294: 7 7 47 47 119 119 223 223 359 359 527 527 727 727 959 959
(loop(\(x,i).(2 - (((x * x) + 1) * x)),(2 + 2),(x + 1)) - 1)
A138647: 521 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) * (x + 1)) + 1))
A016758: 1 729 15625 117649 531441 1771561 4826809 11390625 24137569 47045881 85766121 148035889 244140625 387420489 594823321 887503681
((loop(\(x,i).(((x div (2 + 2)) + x) + 2),x,2) div (x + 1)) - 1)
A210024: 1 1 1 1 1 2 2 3 3 4 5 6 7 9 11 13
loop(\(x,i).((x * x) * (x * 2)),1,(((x + 2) * (x + 1)) - 1))
A109118: 2 250 2662 13718 48778 137842 332750 715822 1409938 2590058 4496182 7447750 11859482 18258658 27303838 39805022
((loop(\(x,i).(i * x),(x - 2),(2 - (x mod 2))) mod (x + 1)) + 1)
A014973: 1 2 3 2 5 1 7 1 1 1 11 1 13 1 1 1
loop(\(x,i).(((i - 1) mod (((2 + 2) + 1) * 2)) + x),(x + 1),1)
A070280: 1 2 4 7 11 16 22 29 37 46 46 47 49 52 56 61
(loop(\(x,i).(x * 2),x,2) div ((((x + 2) * x) * (x + 1)) + 1))
A233441: 2 0 0 0 0 0 0 0 0 1 1 2 3 5 9 16
(((loop(\(x,i).((x * x) * x),2,x) * (x * x)) div (x + 1)) + 1)
A269486: 1 1 683 44287 838861 8138021 51828151 247165843 954437177 3138105961 9090909091 23775972551 57154490053 128011456717 269971011311 540609741211
(((loop(\(x,i).(x * x),2,((x * x) * x)) * x) div (x + 1)) + 1)
A266229: 1 1 2731 398581 13421773 203450521 1865813431 12111126301 61083979321 254186582833 909090909091 2876892678661 8230246567621 21633936185161 52914318216943 121637191772461
loop(\(x,i).(((((i + 2) * i) * (i + 1)) + i) * x),(x + 1),1)
A158620: 7 182 11466 1421784 305683560 104543777520 53421870312720 38891121587660160 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + 1) - i),(x + 1),1)
A179477: 10 99 988 9877 98766 987655 9876544 98765433 987654322 9876543211 98765432100 987654320989 9876543209878 98765432098767 987654320987656 9876543209876545
loop(\(x,i).(x - (((1 - (x div 2)) div (2 + 1)) - 1)),(x - 1),1)
A171997: 1 1 2 3 4 6 8 10 13 16 20 24 29 35 42 50
loop(\(x,i).(((((x + 2) + 2) * x) * 2) div (2 + 1)),(x - 1),1)
A260995: 1 1 3 14 168
loop(\(x,i).(((i div (2 + 1)) + x) + (x div (2 + 1))),(x - 1),1)
A007478: 1 1 1 1 2 3 5 8 12 18 27 39 55
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1)
A088218: 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760
(loop(\(x,i).((x * 2) * (x + 1)),1,((2 + 2) * (x - 1))) + 1)
A272129: 25 1 41 145 313 545 841 1201 1625 2113 2665 3281 3961 4705 5513 6385
loop(\(x,i).(((i + 1) * x) - (1 - ((i mod 2) * 2))),(x - 1),1)
A001120: 1 1 3 8 33 164 985 6894 55153 496376 4963761 54601370 655216441 8517813732 119249392249 1788740883734
loop(\(x,i).(((((2 mod (x + 1)) + x) * 2) + x) * 2),(x - 1),1)
A309418: 1 1 6 44 272
loop(\(x,i).((((i * x) * 2) * ((2 + 2) + 1)) + x),(x - 1),1)
A144773: 1 1 11 231 7161 293601 14973651 913392711 64850882481 5252921480961 478015854767451 48279601331512551 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - (((i mod 2) * 2) - 1)) * i) + x),(x - 1),1)
A212291: 1 1 1 5 17 89 529 3709 29665 266993 2669921 29369141 352429681 4581585865 64142202097 962133031469
(loop(\(x,i).((((x * x) + 2) div ((x div 2) + 1)) + x),x,1) - 1)
A114982: 0 3 9 26 78 234 702 2106 6318 18954 56862 170586 511758 1535274 4605822 13817466
((if ((x - 1) mod (((2 + 2) * 2) + 1)) <= 0 then (x * x) else 1) - 1)
A097601: 0 0 0 0 0 0 0 0 0 0 99 0 0 0 0 0
loop(\(x,i).(x * 2),((((2 + 2) * 2) + x) * ((x * x) + 1)),1)
A100636: 256 262144 1125899906842624 4611686018427387903 4611686018427387903
((if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 0 else 2) + 1)
A171369: 1 3 3 1 3 3 3 3 1 3 3 3 3 3 3 1
((if ((x * 2) mod ((((x + 2) + 2) + 2) + 1)) <= 0 then 0 else 2) + 1)
A122916: 1 3 3 3 3
A135203: 1 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3
((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 1)
A268676: 1 3 3 1 3 1 1 3 3 1 1 3 1 3 3 1
((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 2) + 1)
A050141: 3 1 3 3 1 3 1 3 3 1 3 3 1 3 1 3
(((((x mod 2) + (x * 2)) + (if (x - 2) <= 0 then 1 else 0)) * 2) + 1)
A106373: 3 9 11 15 17 23
((loop(\(x,i).(((i * x) + (i div 2)) + 1),(x - 1),0) div 2) + 1)
A066304: 1 1 1 3 8 30 150
(x div (((if (x - ((2 + 2) * (2 + 1))) <= 0 then 2 else 0) + 2) + 1))
A035682: 0 0 0 0 0 1 1 1 1 1 2 2 2 4 4 5
(((x div 2) div ((if ((x div (2 + 1)) - 2) <= 0 then 2 else 0) + 2)) + 1)
A029129: 1 1 1 1 1 1 1 1 2 3 3 3 4 4 4 4
(((((x div 2) + x) * 2) - (if ((x div 2) - 2) <= 0 then 0 else 2)) + 1)
A285144: 1 3 7 9 13 15 17 19 23 25 29 31 35 37 41 43
(((x * x) + 1) div (x - ((if x <= 0 then 1 else x) div ((0 - 2) - 1))))
A064317: 1 1 1 2 2 3 4 5 5 6 7 8 9 9 10 11
(x - ((loop(\(x,i).((x - (i * 2)) * (2 + 1)),x,0) * 2) - 1))
A339136: 1 14 63 220 701 2154 6523 19640 59001 177094 531383 1594260 4782901 14348834 43046643 129140080
((loop(\(x,i).(((((x * x) + 1) * x) * x) + 1),x,0) + 2) + 1)
A267943: 3 4 6 94
((if (x - ((x * x) mod (((2 + 2) * 2) + x))) <= 0 then 0 else 2) + 1)
A285116: 1 1 1 1 1 1 1 3 3 1 1 3 3 3 1 1
((((x mod 2) - loop(\(x,i).((x - (i mod 2)) * 2),x,0)) * 2) + 1)
A083582: 1 7 9 23 41 87 169 343 681 1367 2729 5463 10921 21847 43689 87383
((((((x * 2) * 2) * 2) * 2) + 1) div ((if x <= 0 then 0 else 2) + 1))
A219529: 1 5 11 16 21 27 32 37 43 48 53 59 64 69 75 80
(x - (((((x div 2) mod 2) - (if (2 - x) <= 0 then x else 0)) div 2) - 1))
A122825: 1 2 4 5 7 9 10 11 13 15 16 17 19 21 22 23
((loop(\(x,i).(((((i + 2) + 2) + x) * 2) + x),x,0) * 2) + 1)
A116972: 1 21 85 281 873 2653 7997 24033 72145 216485 649509 1948585 5845817 17537517 52612621 157837937
((loop(\(x,i).((((i * i) - 1) * (i + 2)) + x),x,0) div 2) - 1)
A059302: ~1 ~1 5 25 70 154 294 510 825 1265 1859 2639 3640 4900 6460 8364
((loop(\(x,i).((((i * i) - 1) * (i - 2)) + x),x,0) div 2) + 1)
A226639: 1 1 1 5 20 56 126 246 435 715 1111 1651 2366 3290 4460 5916
((if ((x - 1) mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 1 else 2) + 1)
A098726: 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3
((((x - 1) div ((if (x mod (2 + 2)) <= 0 then 2 else 1) + 1)) mod 2) + 1)
A264840: 2 1 1 2 2 1 1 2 1 1 1 2 2 1 1 2
(if ((x - 2) mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then 2 else 1)
A080354: 2 2 2 1 2 1 2 1 2 1 1 2 1 1 2 1
(if (2 - ((x div 2) mod ((x mod ((2 + 2) + 1)) + 1))) <= 0 then 2 else 1)
A279496: 1 1 1 1 2 1 1 1 1 2 1 1 1 2 2 1
((if ((x - ((x div 2) div (2 + 1))) mod (2 + 1)) <= 0 then 1 else 2) + 1)
A276859: 2 3 3 2 3 3 3 2 3 3 2 3 3 3 2 3
((if (((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 2) + 1)
A076662: 3 3 2 3 3 2 3 2 3 3 2 3 3 2 3 2
((if ((x - (x div ((2 + 2) * 2))) mod (2 + 1)) <= 0 then 1 else 2) + 1)
A276869: 2 3 3 2 3 3 2 3 3 3 2 3 3 2 3 3
loop(\(x,i).i,(x div ((x mod (((2 + 2) * (2 + 1)) - 1)) + 2)),1)
A223475: 1 1 1 1 1 1 1 1 1 1 1 5 4 3 2 2
(if (x mod (2 - (x mod (((2 - x) div (2 + 1)) - 1)))) <= 0 then 2 else 1)
A084989: 2 1 2 2 2 1 2 1 1 1 1 1 1 1 1 2
((loop(\(x,i).(((i mod 2) + x) * (2 + 1)),(x + 1),1) * 2) - 1)
A199817: 11 35 113 341
loop(\(x,i).((2 + 1) * x),((((2 + 2) * (x + 1)) - 1) * 2),1)
A013791: 729 4782969 31381059609 205891132094649 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) + 2) + 1)
A216179: 13 103 1003 10003 100003 1000003 10000003 100000003 1000000003 10000000003 100000000003 1000000000003 10000000000003 100000000000003 1000000000000003 10000000000000003
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1)
A173833: 7 97 997 9997 99997 999997 9999997 99999997 999999997 9999999997 99999999997 999999999997 9999999999997 99999999999997 999999999999997 9999999999999997
((((if (x mod 2) <= 0 then 2 else ((x * 2) * (x + 1))) - 1) * 2) - 1)
A269910: 1 5 1 45 1 117 1 221 1 357 1 525 1 725 1 957
(((if x <= 0 then 2 else ((((x * x) * 2) * (x + 1)) - 1)) * 2) + 1)
A174267: 5 7 47
((loop(\(x,i).(((x mod 2) + (x * 2)) * 2),(x - 1),1) * 2) - 1)
A267614: 1 1 11 47 191 767 3071 12287 49151 196607 786431 3145727 12582911 50331647 201326591 805306367
((loop(\(x,i).((((i + x) * i) + x) * 2),(x - 1),1) div 2) + 1)
A317967: 1 1 4 23 186
((((x + 2) - ((1 - x) div ((if x <= 0 then 0 else 2) + 1))) * 2) + 1)
A102213: 3 7 11 13 15 19 21 23 27 29 31 35 37 39 43 45
(if (2 - (x mod ((((x - 1) mod (2 + 1)) * 2) + 1))) <= 0 then 2 else 1)
A270642: 1 1 2 2 1 2 1 1 2 2 1 2 2 1 2 1
(if ((((x + 1) * x) + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1)
A092400: 1 1 2 1 2 1 1 1 1 2 1 2 1 1 1 1
(loop(\(x,i).((x + 1) * x),x,((((2 + 1) * 2) + 1) * 2)) + 1)
A179091: 15 211 44311 1963420411 3855019708367988511 4611686018427387903 4611686018427387903
(if ((x + 1) mod ((((2 - x) mod (2 + 1)) * 2) + 1)) <= 0 then 2 else 1)
A175128: 1 1 2 1 1 2 1 1 2 2 1 2 1 1 2 1
(if (2 - ((x + 1) mod (((x mod (2 + 1)) * 2) + 1))) <= 0 then 2 else 1)
A270643: 1 2 2 1 2 1 1 2 2 1 2 2 1 2 1 1
(if ((x + 2) mod ((((2 - (x mod 2)) + 1) * 2) + 1)) <= 0 then 2 else 1)
A031276: 1 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1
(((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2) + 1)
A327657: 1 1 2 1 2 2 2 1 3 2 2 2 2 2 3 1
(((x mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)) mod 2) + 1)
A246140: 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1
(((x mod (((if ((x div 2) - 2) <= 0 then 0 else 2) + 2) + 1)) div 2) + 1)
A340260: 1 1 2 1 1 2 1 2 2 3 1 1 2 2 3 1
(((((x * x) - 1) mod (((if x <= 0 then 0 else 2) * 2) + 1)) div 2) + 1)
A135352: 1 1 2 2 1 3 1 2 2 1 3 1 2 2 1 3
(((((x + 1) * 2) mod (((if x <= 0 then 0 else 2) * 2) + 1)) * 2) + 1)
A127794: 1 9 3 7 1 5 9 3 7 1 5 9 3 7 1 5
((x div ((if (x - (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + 2)) + 1)
A025775: 1 1 1 1 2 2 2 2 3 3 3 4 5 5 5 6
(if (2 - (x mod ((((x - 1) mod (2 + 2)) * 2) - 1))) <= 0 then 2 else 1)
A077479: 1 1 1 1 2 1 1 1 2 1 1 2 2 1 1 1
(if (x mod (((((1 - x) div 2) mod (2 + 2)) + 2) + 1)) <= 0 then 2 else 1)
A205007: 2 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1
(((loop(\(x,i).(x * 2),x,1) div (((2 + 2) * 2) + 1)) * 2) + 1)
A132780: 1 1 1 1 3 7 15 29 57 113 227 455 911 1821 3641 7281
(((x mod (2 + 1)) div (if (x mod ((2 + 2) * 2)) <= 0 then 1 else 2)) + 1)
A280509-A051064: 1 1 2 1 1 2 1 1 3 1 1 2 1 1 2 1
(2 - ((2 - x) div ((if (x mod ((2 + 2) * 2)) <= 0 then 1 else 2) + 1)))
A077113: 1 2 2 3 3 3 4 4 5 5 5 5 6 6 6 7
(((((x - 1) div 2) mod ((if x <= 0 then 1 else (2 + 2)) + 1)) mod 2) + 1)
A160245: 2 1 1 2 2 1 1 2 2 1 1 1 1 2 2 1
(((x - 1) mod ((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * 2)) + 1)
A109011: 8 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1
(if (((((x div 2) + x) div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A082478: 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1
(if ((x - (((x div 2) - 1) div 2)) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A105551: 1 1 1 1 1 2 2 1 1 1 1 1 2 1 1 1
((((((if x <= 0 then 2 else x) - 1) * 2) mod ((2 + 2) + 1)) * 2) + 1)
A128359: 5 1 5 9 3 7 1 5 9 3 7 1 5 9 3 7
(if ((x - (2 - ((x div 2) mod 2))) mod ((2 + 2) + 1)) <= 0 then 2 else 1)
A163100: 1 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1
((((if (x - 2) <= 0 then x else (x * 2)) mod ((2 + 2) + 1)) div 2) + 1)
A136109-A080237: 1 1 2 1 2 1 2 3 1 2 1 2 3 1 2 1
(2 div (((if x <= 0 then 1 else (x * x)) mod (((2 + 2) + 1) * 2)) + 1))
A219482: 1 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0
(if (2 - x) <= 0 then ((((x - 1) * x) div ((2 + 2) + 1)) + 2) else 1)
A109965: 1 1 2 3 4 6 8 10 13 16 20 24 28 33 38 44
(((((if (x - 1) <= 0 then x else 2) + x) mod ((2 + 2) + 1)) * 2) + 1)
A127414: 1 5 9 1 3 5 7 9 1 3 5 7 9 1 3 5
((if x <= 0 then 0 else ((((x + 2) * x) div ((2 + 2) + 1)) + 2)) + 1)
A225647: 1 3 4 6 7
A202169: 1 3 4 6 7 10 12 15 19 22
loop(\(x,i).i,(x mod (2 + 1)),(((x div ((2 + 2) + 1)) mod 2) + 1))
A025142: 1 1 2 1 1 2 2 1 2 2 1 2 1 1 2 2
(if x <= 0 then 0 else (((2 div (((0 - x) mod (2 + 2)) + 1)) * 2) + 1))
A091084: 0 1 1 3 5 1 1 3 5 1 1 3 5 1 1 3
(((((x div 2) + 1) div 2) div (if (x - (2 + 2)) <= 0 then 1 else 2)) + 1)
A129139: 1 1 2 2 2 1 2 2 2 2 2 2 2 2 3 3
((loop(\(x,i).((x + 2) * 2),x,(((x + 2) + 2) + 1)) div 2) + 1)
A267226: 3 9 21 47 103 223 479 1023 2175 4607 9727 20479 43007 90111 188415 393215
loop(\(x,i).(x * x),(2 + 1),(((((x * 2) * 2) + 1) * 2) + 1))
A017108: 6561 214358881 16983563041 282429536481 2251875390625 11688200277601 45767944570401 146830437604321 406067677556641 1001129150390625 2252292232139041 4702525276151521 9227446944279201
loop(\(x,i).((x * x) * x),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017103: 27 1331 6859 19683 42875 79507 132651 205379 300763 421875 571787 753571 970299 1225043 1520875 1860867
loop(\(x,i).((x * x) * x),2,(((((x * 2) * 2) + 1) * 2) + 1))
A017109: 19683 2357947691 322687697779 7625597484987 78815638671875 502592611936843 2334165173090451 8662995818654939 27206534396294947 75084686279296875 186940255267540403 427929800129788411
loop(\(x,i).(((2 + 2) + 1) * x),((((x * 2) * 2) + 1) * 2),1)
A191559: 25 9765625 3814697265625 1490116119384765625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then ((x * 2) - ((x div 2) mod 2)) else 1) + 2) + 1)
A139186: 3 4 6 4 11 4
(if (2 - x) <= 0 then ((x div ((x mod ((x mod 2) + 2)) + 1)) mod 2) else 1)
A264739: 1 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1
(((x div ((if (x mod 2) <= 0 then (2 + 2) else 1) * (2 + 1))) mod 2) + 1)
A003647: 1 1 1 2 1 2 1 1 1 2 1 2 2 1 2 2
(if (x mod (2 + 2)) <= 0 then (((x div (2 + 1)) mod (2 + 1)) * 2) else 1)
A345000: 0 1 1 1 2 1 1 1 4 1 1 1 2 1 1 1
(if x <= 0 then 1 else (x mod ((((x div (2 + 1)) mod (2 + 1)) * 2) - 1)))
A281669: 1 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0
((((x - (if (x mod (2 + 2)) <= 0 then x else 1)) div (2 + 1)) mod 2) + 1)
A317756-A052494-A039998: 1 1 1 1 1 2 2 1 1 1 2 2 1 1 1 1
loop(\(x,i).(x * x),1,(x - ((((x + 1) div (2 + 1)) * 2) - 1)))
A007891: 1 4 1 4 9 4 9 16 9 16 25 16 25 36 25 36
((((if (x - (2 + 2)) <= 0 then x else (x + 1)) * (2 + 1)) div 2) + 1)
A182337: 1 2 4 5 7 10 11 13 14 16 17 19 20 22 23 25
(if ((x - ((x div ((2 + 2) + 1)) mod 2)) mod (2 + 1)) <= 0 then 2 else 1)
A056731: 2 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1
((if (x - 1) <= 0 then x else ((((x + 1) div 2) div (2 + 1)) + 2)) + 1)
A117806: 1 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5
(if (((x + 1) mod (((2 + 2) * 2) * 2)) mod (2 + 1)) <= 0 then 2 else 1)
A138742: 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 2
loop(\(x,i).i,(((x - ((x div 2) mod (2 + 2))) div (2 + 1)) * 2),1)
A248781: 1 1 1 1 1 2 2 2 4 6 6 6 6 6 6 8
((if (x - 1) <= 0 then x else ((((x div 2) * 2) div (2 + 1)) + 2)) + 1)
A192512-A185195-A038567-A036234: 1 2 3 3 4 4 5 5 5 5 6 6 7 7 7 7
(if (2 - x) <= 0 then (((((x - 1) * x) div 2) div (2 + 1)) + 2) else 1)
A076677-A008750: 1 1 2 3 4 5 7 9 11 14 17 20 24 28 32 37
(((loop(\(x,i).(((x * 2) * 2) * 2),x,2) div (2 + 1)) * 2) + 1)
A082365: 1 11 85 683 5461 43691 349525 2796203 22369621 178956971 1431655765 11453246123 91625968981 733007751851 5864062014805 46912496118443
(if ((((2 - x) * (x - 2)) div (x + 2)) mod (2 + 1)) <= 0 then 2 else 1)
A157196: 1 1 2 1 1 1 1 2 1 1 2 1 1 2 2 1
(if (((x mod ((2 + 2) + 1)) + (x mod 2)) mod (2 + 1)) <= 0 then 2 else 1)
A030613: 2 1 1 1 1 1 1 2 2 1 2 1 1 1 1 1
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + ((2 + 1) * 2)) + 1)
A253211: 8 15 71 519 4103 32775 262151 2097159 16777223 134217735 1073741831 8589934599 68719476743 549755813895 4398046511111 35184372088839
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) div (((2 + 1) * 2) + 1))
A178703: 0 0 1 5 17 52 156 468 1405 4217 12653 37960 113880 341640 1024921 3074765
(loop(\(x,i).((x - i) * x),2,(x - 1)) div (((2 + 1) * 2) + 1))
A011917: 0 0 0 0 3 17 51 120 240 432 720 1131 1697 2451 3432 4680
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * (((2 + 1) * 2) + 1))
A040183: 14 14 28 14 28 14 28 14 28 14 28 14 28 14 28 14
(loop(\(x,i).((x + 1) * 2),x,(2 + 2)) * (((2 + 1) * 2) + 1))
A182465: 28 70 154 322 658 1330 2674 5362 10738 21490 42994 86002 172018 344050 688114 1376242
loop(\(x,i).(((x * 2) * 2) * 2),(x div 2),(((2 + 1) * 2) + 1))
A117860: 7 7 56 56 448 448 3584 3584 28672 28672 229376 229376 1835008 1835008 14680064 14680064
((loop(\(x,i).((2 + 1) * x),x,1) + x) mod (((2 + 1) * 2) + 1))
A168455: 1 4 4 2 1 3 0 3 3 1 0 2 6 2 2 0
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,(((2 + 1) * 2) + 1))
A145181: 7 364 48229636 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(((2 + 1) * 2) + 1))
A002000: 7 322 33385282 4611686018427387903 4611686018427387903
(((x + 1) mod ((if (x mod 2) <= 0 then 1 else x) mod ((2 + 1) * 2))) + 1)
A245548: 1 1 1 2 1 2 1 1 1 2 1 3 1 1 1 2
((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 1) * 2)) + 1)
A099547: 1 1 3 1 5 3 1 1 3 5 5 3 1 1 3 1
(((((if (x mod 2) <= 0 then (2 + 2) else 0) + x) * (2 + 1)) div 2) + 1)
A147677: 7 2 10 5 13 8 16 11 19 14 22 17 25 20 28 23
((if x <= 0 then 2 else ((((x div (2 + 1)) * x) mod (2 + 1)) mod 2)) + 1)
A282496: 3 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1
((loop(\(x,i).((((x + 2) + 2) + 1) * 2),x,(2 + 1)) * 2) + 1)
A275163: 7 33 85 189 397 813 1645 3309 6637 13293 26605 53229 106477 212973 425965 851949
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 1)) div 2) + 1)
A189303: 2 4 5 7 8 10 13 14 16 17 19 20 22 23 25 26
((if x <= 0 then 1 else ((((2 + 1) * x) - (x div (2 + 1))) * 2)) + 1)
A063099: 2 7 13 17 23 29 33 39 45 49 55 61 65 71 77 81
((if x <= 0 then 1 else (x div (2 + 1))) div (((x mod (2 + 1)) * 2) + 1))
A029301: 1 0 0 1 0 0 2 0 0 3 1 0 4 1 0 5
((loop(\(x,i).((x * 2) * 2),x,2) - ((x mod (2 + 1)) div 2)) + 1)
A183425: 3 9 32 129 513 2048 8193 32769 131072 524289 2097153 8388608 33554433 134217729 536870912 2147483649
(((x mod 2) + 2) - (if (2 - x) <= 0 then ((x mod (2 + 1)) div 2) else 1))
A033559: 1 2 1 3 2 2 2 3 1 3 2 2 2 3 1 3
(if (2 - x) <= 0 then (2 - ((x mod 2) - ((x mod (2 + 1)) mod 2))) else 1)
A069929: 1 1 2 1 3 1 2 2 2 1 3 1 2 2 2 1
((((x div (2 + 1)) + x) * 2) + (if (x mod (2 + 1)) <= 0 then 2 else 1))
A047604: 2 3 5 10 11 13 18 19 21 26 27 29 34 35 37 42
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * 2) - 1)
A083818: 1 37 397 3997 39997 399997 3999997 39999997 399999997 3999999997 39999999997 399999999997 3999999999997 39999999999997 399999999999997 3999999999999997
loop(\(x,i).((i + 1) * x),(((((x + 2) * x) div 2) + 1) * 2),1)
A126244: 6 120 39916800 355687428096000 4611686018427387903 4611686018427387903 4611686018427387903
((x - ((x div ((0 - 2) - 2)) - (if (x - 2) <= 0 then 1 else 2))) + 1)
A184014: 2 4 5 7 8 10 11 12 13 15 16 17 18 20 21 22
loop(\(x,i).(x * x),1,(((((x div 2) + (x * 2)) + 1) * 2) + 1))
A273374: 9 49 169 289 529 729 1089 1369 1849 2209 2809 3249 3969 4489 5329 5929
(loop(\(x,i).(((x * x) * x) * (x + 1)),((x * 2) + 1),2) - 1)
A053558: 23 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (2 - (((x - (2 + 1)) * 2) mod ((x div 2) + 1))) <= 0 then 2 else 1)
A205107: 1 1 1 1 2 1 2 1 1 2 2 2 2 2 2 1
(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then (((x div 2) + 1) div 2) else 1)
A306489: 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1
(if ((x - 2) mod ((2 + 2) + 1)) <= 0 then (((x div 2) + 1) div 2) else 1)
A134505: 1 1 1 1 1 1 1 2 1 1 1 1 3 1 1 1
(if x <= 0 then 1 else ((((x + 1) div ((2 - (x mod 2)) + 1)) * 2) - 1))
A344674: 1 1 1 3 1 5 3 7 5 9 5 11
(((loop(\(x,i).((x + 2) * 2),(x div 2),(x mod 2)) + 1) * 2) + 1)
A164053: 3 5 11 15 27 35 59 75 123 155 251 315 507 635 1019 1275
((if (x - 2) <= 0 then (2 + 1) else x) div ((((x mod 2) + 1) * 2) + 1))
A025806: 1 0 1 0 1 1 2 1 2 1 3 2 4 2 4 3
loop(\(x,i).(x * x),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017306: 9 169 529 1089 1849 2809 3969 5329 6889 8649 10609 12769 15129 17689 20449 23409
loop(\(x,i).(x * x),2,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017308: 81 28561 279841 1185921 3418801 7890481 15752961 28398241 47458321 74805201 112550881 163047361 228886641 312900721 418161601 547981281
loop(\(x,i).((2 + 1) * x),(((((2 + 2) + 1) * x) + 1) * 2),1)
A013850: 9 531441 31381059609 1853020188851841 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - 1),(((2 + 1) * x) + 1)) div 2) + 1)
A170881: 1 3 8 21 53 129 305 705 1601 3585 7937 17409 37889 81921 176129 376833
((loop(\(x,i).(((i + x) + x) - (x div (2 + 1))),x,1) div 2) + 1)
A222011: 1 2 4 8
A339656: 1 2 4 8 15 28 49 84
((if (x - ((x * x) mod (((2 + 2) * 2) + x))) <= 0 then 1 else 2) + 1)
A109829: 2 2 2 2 2 2 2 3 3 2 2 3 3 3 2 2
((if (x - ((x * x) mod (((x + 2) * 2) + x))) <= 0 then 1 else 2) + 1)
A020649: 2 2 2 2 3 2 2 2 2 2 2 3 2 2 3 2
((loop(\(x,i).(((((x + 2) * 2) * 2) + x) * 2),x,1) * 2) + 1)
A173802: 3 53 553 5553 55553 555553 5555553 55555553 555555553 5555555553 55555555553 555555555553 5555555555553 55555555555553 555555555555553 5555555555555553
((loop(\(x,i).(((((x + 2) * 2) * 2) + x) * 2),x,1) * 2) - 1)
A173804: 1 51 551 5551 55551 555551 5555551 55555551 555555551 5555555551 55555555551 555555555551 5555555555551 55555555555551 555555555555551 5555555555555551
((x + 1) div (if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then 2 else 1))
A143052: 0 1 3 4 2 6 7 8 9 5 11 12 13 14 15 16
loop(\(x,i).(i * x),x,(((((2 + 1) * 2) mod (x + 1)) mod 2) + 1))
A052596: 1 1 2 6 48 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x + 1),2) + 1)
A091628: 23 223 2223 22223 222223 2222223 22222223 222222223 2222222223 22222222223 222222222223 2222222222223 22222222222223 222222222222223 2222222222222223 22222222222222223
((x + 1) div (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 1))
A153152: 0 1 3 2 5 6 7 4 9 10 11 12 13 14 15 8
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),((x + 1) * 2),1)
A217853: 91 7381 597871 48427561 3922632451 317733228541 25736391511831 2084647712458321 168856464709124011 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,(2 + 1)) * (((x + 1) * 2) + 1))
A268965: 9 60 336 1728 8448 39936 184320 835584 3735552 16515072 72351744 314572800 1358954496 5838471168 24964497408 106300440576
(loop(\(x,i).((x * 2) * 2),x,(x + 1)) * (((x + 1) * 2) + 1))
A002700: 3 40 336 2304 14080 79872 430080 2228224 11206656 55050240 265289728 1258291200 5888802816 27246198784 124822487040 566935683072
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) div (((x + 1) * 2) + 1))
A191637: 1 3 9 28 93 315 1092 3855 13797 49932 182361 671088 2485513 9256395 34636833 130150524
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) mod (((x + 1) * 2) + 1))
A177023: 1 1 1 4 1 1 4 1 1 4 1 16 13 1 1 4
(loop(\(x,i).((i * i) + x),(x - 2),x) + (((x + 1) * 2) + 1))
A316531: 3 6 9 13 20 32
((loop(\(x,i).((x + 2) * x),(2 + 1),x) div ((x + 1) * 2)) + 1)
A191494: 1 64 1094 8192 39063 139968 411772 1048576 2391485 5000000 9743586 17915904 31374259 52706752 85429688 134217728
loop(\(x,i).((((i * x) * x) * (x + 1)) + x),((x + 1) * 2),1)
A116234: 75 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x div 2) + i) div 2) + x) + 1),((x + 1) div 2),1)
A277133: 1 2 2 4 4 7 7 11 11 17 17 25 25 35 35 48
loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * 2),((x + 1) div 2),1)
A230096: 1 0 0 2 2 2 2 6 6 10 10 22 22 42 42 86
loop(\(x,i).(x * 2),((((x + 2) * x) * 2) - ((x + 1) div 2)),1)
A285389: 1 32 32768 268435456 70368744177664 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) div (i + 2)) + x),((x + 1) div 2),1)
A323539: 1 2 2 4 4 7 7 11 11 17 17 25 25 36 36 50
(((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1)
A038712: 1 3 1 7 1 3 1 15 1 3 1 7 1 3 1 31
((loop(\(x,i).(((x div (2 + 1)) * 2) + x),x,(x + 1)) div 2) + 1)
A343592: 1 2 4 9 14 36
((loop(\(x,i).(x div (((x mod 2) * 2) + 1)),2,(x - 1)) div 2) + 1)
A246277: 0 1 1 2 1 3 1 4 2 5 1 6 1 7 3 8
(((x - loop(\(x,i).(((1 - x) * x) div 2),2,(x - 1))) * 2) - 1)
A341703: 1 1 3 7 19 51 121 253 477 829 1351 2091 3103 4447 6189 8401
(((loop(\(x,i).(((i + 1) * x) + 1),x,2) * (x - 1)) div 2) + 1)
A134432: 0 1 9 66 490 3915 34251 328804 3452436 39456405 488273005 6510306726 93097386174 1421850988831 23105078568495 398118276872520
((x + 2) div ((((x * 2) mod (2 + 1)) + (if x <= 0 then 1 else 2)) + 1))
A025798: 1 0 1 1 1 1 2 1 2 3 2 3 4 3 4 5
(((((2 + 2) * (x + 1)) + (x mod 2)) * (if x <= 0 then 1 else 2)) - 1)
A273407: 3 17 23 33 39 49 55 65 71 81 87 97 103 113 119 129
((loop(\(x,i).(((x - 2) mod ((2 + 2) + 1)) + x),x,1) * 2) + 1)
A322171: 3 11 17 19 23 31 37 39 43 51 57 59 63 71 77 79
loop(\(x,i).(((x * x) div 2) + 1),x,((((x * x) + 1) div 2) + 1))
A318165: 1 3 13
A016104: 1 3 13 16381
(((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 2) * 2) + 1)
A306577: 1 1 5 1 5 5 5 1 5 5 5 5 5 5 5 1
(x - (((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) * 2) - 1))
A331270-A117657: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 12
(((loop(\(x,i).(((i * x) * x) + 2),(x - 2),0) div 2) div 2) + 1)
A089301: 1 1 1 1 3 76
loop(\(x,i).(x * x),1,(((x - ((x div 2) div (0 - 2))) * 2) + 1))
A167744-A028375: 1 9 49 81 121 169 289 361 441 529 729 841 961 1089 1369 1521
(if (x - 2) <= 0 then x else (x - ((x + 2) div (((0 - 2) - 2) - 1))))
A155939: 0 1 2 4 6 7 8 9 10 12 13 14 15 16 18 19
(((if (x - 2) <= 0 then 1 else 2) + x) - (x div (((0 - 2) - 2) - 1)))
A225647: 1 3 4 6 7
A143344: 1 3 4 6 7 8 10 11 12 13 14 16 17 18 19 20
(1 - ((x + 1) mod (((2 - x) mod ((if x <= 0 then 0 else 2) + 2)) + 1)))
A105567: 1 1 1 1 ~1 1 1 1 1 1 1 1 0 1 1 1
(((x + 2) + 2) - ((1 - x) div (((if x <= 0 then 0 else 2) * 2) + 1)))
A100318: 3 5 7 8 9 10 11 13 14 15 16 17 19 20 21 22
(loop(\(x,i).(x * 2),x,1) mod (((((2 + 2) + 1) * 2) * 2) + 1))
A222011: 1 2 4 8
A070347: 1 2 4 8 16 11 1 2 4 8 16 11 1 2 4 8
(((if (x - 1) <= 0 then x else ((x div ((2 + 2) + 1)) + 2)) * 2) + 1)
A113722: 1 3 5 5 5 7 7 7 7 7 9 9 9 9 9 11
loop(\(x,i).i,(x - (((x div ((2 + 2) * (2 + 1))) + 2) + 2)),1)
A053759: 1 1 1 1 1 1 2 3 4 5 6 7 7 8 9 10
(2 - ((1 - x) div (if ((x - 2) mod ((2 + 1) * 2)) <= 0 then 2 else 1)))
A325351: 1 2 3 4 5 6 7 8 6 10 11 12 13 14 9 16
(if (2 - x) <= 0 then ((x div (((1 - x) mod (2 + 1)) + 2)) mod 2) else 1)
A267015: 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1
((((x mod (if (x - 2) <= 0 then 1 else (x div (2 + 1)))) div 2) * 2) + 1)
A226306: 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1
(((x mod ((if (x mod 2) <= 0 then 1 else (x div (2 + 1))) + 2)) div 2) + 1)
A243987: 1 1 2 1 1 2 1 2 2 3 1 1 1 1 2 1
(((x - 1) mod (2 + 1)) div (if ((x div (2 + 1)) - 2) <= 0 then 2 else 1))
A025855: 1 0 0 1 0 0 1 0 0 2 0 1 2 0 1 2
(if (((x div (2 + 2)) + 1) mod ((x mod (2 + 1)) + 2)) <= 0 then 2 else 1)
A323437: 1 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2
(if ((x - 1) mod (2 + 2)) <= 0 then (((x mod (2 + 1)) div 2) + 2) else 1)
A263845: 1 2 1 1 1 3 1 1 1 2 1 1 1 2 1 1
loop(\(x,i).(x * x),(2 + 1),(((((x * 2) + 1) * 2) * 2) + 1))
A017132: 390625 815730721 37822859361 500246412961 3512479453921 16815125390625 62259690411361 191707312997281 513798374428641 1235736291547681 2724905250390625 5595818096650401 10828567056280801
loop(\(x,i).((x * x) * x),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017127: 125 2197 9261 24389 50653 91125 148877 226981 328509 456533 614125 804357 1030301 1295029 1601613 1953125
loop(\(x,i).((x * x) * x),2,(((((x * 2) + 1) * 2) * 2) + 1))
A017133: 1953125 10604499373 794280046581 14507145975869 129961739795077 756680642578125 3299763591802133 11694146092834141 35452087835576229 95151694449171437 231616946283203125 520411082988487293
loop(\(x,i).(x * x),1,(x - (((((x * 2) + 1) * 2) * 2) + 1)))
A017042: 25 144 361 676 1089 1600 2209 2916 3721 4624 5625 6724 7921 9216 10609 12100
loop(\(x,i).(x * x),2,(x - (((((x * 2) + 1) * 2) * 2) + 1)))
A017044: 625 20736 130321 456976 1185921 2560000 4879681 8503056 13845841 21381376 31640625 45212176 62742241 84934656 112550881 146410000
(if (x mod ((((2 + 2) + 1) mod ((x div 2) + 1)) + 2)) <= 0 then 2 else 1)
A023396: 2 1 1 2 2 1 2 1 2 1 1 1 1 1 2 1
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 2) + 2) + 1)
A133472: 6 15 105 1005 10005 100005 1000005 10000005 100000005 1000000005 10000000005 100000000005 1000000000005 10000000000005 100000000000005 1000000000000005
((((loop(\(x,i).(x * x),(x - 1),2) mod (x + 1)) div 2) * 2) + 1)
A231409: 1 1 1 1 1 5 5 4611686018427387903
((((x * x) * 2) - loop(\(x,i).((x + 2) * (x + 1)),2,2)) + 1)
A218977: ~181 ~179 ~173 ~163 ~149 ~131 ~109 ~83 ~53 ~19 19 61 107 157 211 269
(if (x mod (2 + 1)) <= 0 then ((((x div 2) * (x + 1)) mod 2) + 2) else 1)
A213852: 2 1 1 2 1 1 3 1 1 2 1 1 2 1 1 2
((if (x - 2) <= 0 then x else ((((x div 2) * (x + 1)) mod 2) + 2)) + 1)
A087162: 1 2 3 3 3 3 4 3 3 3 4 3 3 3 4 3
(((if ((x div (2 + 1)) - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) - 1)
A234451: 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3
(1 - (if (((x div 2) - 2) - 2) <= 0 then (((x + 1) div 2) div 2) else 1))
A016421-A016400-A016390-A014030: 1 1 1 0 0 0 0 ~1 ~1 ~1 0 0 0 0 0 0
(((x - ((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) * 2)) * 2) + 1)
A240848: 1 3 5 7 9 11 13 15 17 19 13 15 17 19 21 23
((if (x mod 2) <= 0 then x else 1) div ((((x div (0 - 2)) mod 2) * 2) - 1))
A009531: 0 1 2 ~1 ~4 1 6 ~1 ~8 1 10 ~1 ~12 1 14 ~1
((if (x - 2) <= 0 then 0 else ((x div ((x mod (0 - 2)) - 2)) mod 2)) + 1)
A221646: 1 1 1 2 1 1 2 2 1 2 2 1 1 2 2 2
(((x mod (2 + 1)) - 1) mod ((((if x <= 0 then 0 else 2) * 2) * 2) + 1))
A021559: 0 0 1 8 0 1 8 0 1 8 0 1 8 0 1 8
((((if ((x div 2) - 2) <= 0 then x else ((2 + 1) * 2)) + 2) + 2) + 1)
A168095: 5 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11
(if ((x + 2) mod ((((2 + 1) mod (x + 1)) + 2) + 2)) <= 0 then 2 else 1)
A030382: 1 1 2 1 1 2 1 1 1 1 1 1 2 1 1 1
(if (x mod (2 + 2)) <= 0 then 0 else (((((x + 1) div 2) div 2) mod 2) + 1))
A082115: 0 1 1 2 0 2 2 1 0 1 1 2 0 2 2 1
loop(\(x,i).(x * 2),(x div 2),(((((x - 1) div 2) mod 2) * 2) + 1))
A308709: 3 1 2 6 12 4 8 24 48 16 32 96 192 64 128 384
((((x - ((if x <= 0 then 1 else x) div ((0 - 2) - 2))) * 2) * 2) + 1)
A291180-A057948: 5 9 13 17 21 29 33 37 41 49 53 57 61 69 73 77
(if (x mod 2) <= 0 then ((((((x div 2) - 1) div 2) div 2) mod 2) * 2) else 1)
A215030: 2 1 0 1 0 1 0 1 0 1 2 1 2 1 2 1
(if ((x mod (2 + 1)) - ((((x + 1) div 2) div 2) mod 2)) <= 0 then 2 else 1)
A049705: 2 1 1 2 2 1 2 1 1 2 1 1 2 2 1 2
(((x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) mod 2) + 1)
A118383: 1 1 1 1 2 1 1 1 1 1 2 2 1 2 1 2
(if ((((x + 1) * 2) mod (1 - ((2 + 2) * 2))) + 2) <= 0 then 2 else 1)
A291454-A105697: 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2
(loop(\(x,i).(x * 2),x,1) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A222011: 1 2 4 8
A070338: 1 2 4 8 16 32 31 29 25 17 1 2 4 8 16 32
(if (x mod 2) <= 0 then ((((x - (x div (2 + 2))) div 2) mod 2) * 2) else 1)
A076826: 0 1 2 1 2 1 0 1 2 1 0 1 0 1 2 1
(if ((x + 2) mod (((x mod ((x mod 2) + 2)) + 2) + 2)) <= 0 then 2 else 1)
A341997: 1 1 2 1 1 1 2 1 1 1 2 1 1 2 2 1
(((x mod ((if (x - 2) <= 0 then 2 else 1) - ((2 + 2) * 2))) mod 2) + 1)
A245933: 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 1
(loop(\(x,i).((x * 2) * 2),x,1) mod ((((2 + 2) * 2) * 2) + 1))
A266973: 1 4 16 13 1 4 16 13 1 4 16 13 1 4 16 13
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 2) * 2) * 2) + 1))
A036119: 1 3 9 10 13 5 15 11 16 14 8 7 4 12 2 6
loop(\(x,i).(((x * 2) * 2) + 1),x,((((2 + 2) * 2) * 2) - 1))
A072201: 15 61 245 981 3925 15701 62805 251221 1004885 4019541 16078165 64312661 257250645 1029002581 4116010325 16464041301
(loop(\(x,i).(x * 2),x,1) - (x div ((((2 + 2) * 2) * 2) - 1)))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A220051: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32767
(if ((x + 1) mod (2 + 2)) <= 0 then ((x mod ((2 + 2) * 2)) + 2) else 1)
A168677: 1 1 1 5 1 1 1 9 1 1 1 5 1 1 1 9
loop(\(x,i).i,(x mod (((x + 1) mod ((x div (2 + 2)) + 2)) + 2)),1)
A212171: 1 1 2 1 1 1 1 3 2 1 1 1 2 1 1 1
loop(\(x,i).(i * x),(((x - 2) div ((x div (2 + 2)) + 2)) + 2),1)
A214078: 1 1 2 2 2 6 6 6 6 6 24 24 24 24 24 24
(if (((x div (2 + 2)) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 1)
A300410-A286361: 1 1 1 1 2 1 1 1 1 2 1 1 2 1 2 1
((((loop(\(x,i).(((x * 2) * 2) * 2),x,2) - 2) * 2) * 2) + 1)
A164786: 1 57 505 4089 32761 262137 2097145 16777209 134217721 1073741817 8589934585 68719476729 549755813881 4398046511097 35184372088825 281474976710649
loop(\(x,i).(x * x),1,(((x - (((x * 2) * 2) * 2)) * 2) - 1))
A134934: 1 225 841 1849 3249 5041 7225 9801 12769 16129 19881 24025 28561 33489 38809 44521
(if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 2 else 1)
A164295-A035214: 2 2 1 2 1 1 2 1 1 1 2 1 1 1 1 2
(((loop(\(x,i).((x * x) div 2),2,((x div 2) - 2)) div 2) div 2) + 1)
A146068: 1 1 1 1 1 1 1 1 1 1 3 3 9 9 19 19
(((x - 1) mod (2 + 1)) div (if (((x div 2) - 2) - 2) <= 0 then 2 else 1))
A025858: 1 0 0 1 0 0 1 0 0 1 0 1 2 0 1 2
(if ((x div 2) - 2) <= 0 then 1 else (((((x mod 2) * 2) * 2) * 2) + 1))
A224835: 1 1 1 1 1 1 1 9 1 9 1 9 1 9 1 9
((((loop(\(x,i).(x * x),((x * x) * x),2) + 2) + 2) * 2) + 1)
A257373: 13 17 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if ((((((x div 2) + x) + 1) div 2) + 1) mod (2 + 2)) <= 0 then 2 else 1)
A125238-A050432-A043278: 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 2
(if (((((x * x) + (x div 2)) div 2) + 1) mod (2 + 2)) <= 0 then 2 else 1)
A008967: 1 1 1 1 1 1 2 1 1 1 1 2 2 2 1 1
(if ((x - ((2 - (x div 2)) div (x + 2))) mod (2 + 2)) <= 0 then 2 else 1)
A235757: 1 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2
(2 div (((1 - (if (2 - x) <= 0 then x else 0)) mod ((2 + 2) * 2)) + 1))
A332016-A331845: 1 1 0 0 0 0 0 0 1 2 0 0 0 0 0 0
(if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 2) * 2) else 1)
A088842: 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1
(if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then ((2 + 2) * 2) else 1)
A056201: 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1
(loop(\(x,i).i,(((x - 1) div 2) div 2),1) * (((2 + 2) * 2) + 1))
A245400: 9 9 9 9 9 9 9 9 9 18 18 18 18 27 27 27
((loop(\(x,i).(x * 2),x,(2 + 2)) + 1) * (((2 + 2) * 2) + 1))
A305154: 45 81 153 297 585 1161 2313 4617 9225 18441 36873 73737 147465 294921 589833 1179657
((if (x mod 2) <= 0 then ((x div 2) + 2) else 1) * (((2 + 2) * 2) + 1))
A181761: 18 9 27 9 36 9 45 9 54 9 63 9 72 9 81 9
(loop(\(x,i).((x - i) * x),2,(x - 1)) div (((2 + 2) * 2) + 1))
A011919: 0 0 0 0 2 13 40 93 186 336 560 880 1320 1906 2669 3640
((((x + 2) + 2) + (if x <= 0 then 1 else 2)) * (((2 + 2) * 2) + 1))
A242264-A242263: 45 63 72 81 90 99 108 117 126 135 144 153 162 171 180 189
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * (((2 + 2) * 2) + 1))
A040307: 18 18 36 18 36 18 36 18 36 18 36 18 36 18 36 18
(loop(\(x,i).((x + 1) * 2),x,(2 + 2)) * (((2 + 2) * 2) + 1))
A182467: 36 90 198 414 846 1710 3438 6894 13806 27630 55278 110574 221166 442350 884718 1769454
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * 2) + 1))
A052268: 9 90 900 9000 90000 900000 9000000 90000000 900000000 9000000000 90000000000 900000000000 9000000000000 90000000000000 900000000000000 9000000000000000
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,(((2 + 2) * 2) + 1))
A145183: 9 756 432083484 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(((2 + 2) * 2) + 1))
A282181: 9 702 345946302 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),(2 + 2),x) * x) + (((2 + 2) * 2) + 1))
A165254: 9 10 131081 129140172 17179869193 762939453134 16926659444745 232630513987216 2251799813685257 16677181699666578 100000000000000009 505447028499293780 2218611106740437001 4611686018427387903
((0 - (if (2 - (x div (2 + 2))) <= 0 then x else ((2 + 2) * 2))) - 1)
A291514: ~9 ~9 ~9 ~9 ~9 ~9 ~9 ~9 ~9 ~10 ~11 ~12 ~13 ~14 ~15 ~16
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) * 2)) + 1)
A199689: 9 81 801 8001 80001 800001 8000001 80000001 800000001 8000000001 80000000001 800000000001 8000000000001 80000000000001 800000000000001 8000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) * 2)) - 1)
A198973: 7 79 799 7999 79999 799999 7999999 79999999 799999999 7999999999 79999999999 799999999999 7999999999999 79999999999999 799999999999999 7999999999999999
((((x * 2) + 1) * 2) mod loop(\(x,i).i,(x - ((2 + 2) * 2)),1))
A316945: 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 6
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((2 + 2) * 2)) + 1)
A199485: 9 57 393 2745 19209 134457 941193 6588345 46118409 322828857 2259801993 15818613945 110730297609 775112083257 5425784582793 37980492079545
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((2 + 2) * 2)) - 1)
A198689: 7 55 391 2743 19207 134455 941191 6588343 46118407 322828855 2259801991 15818613943 110730297607 775112083255 5425784582791 37980492079543
((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1)
A099549: 1 1 3 1 5 3 7 1 1 5 3 3 5 7 7 1
(loop(\(x,i).((x - ((2 + 1) * 2)) * x),x,((2 + 2) * 2)) + 1)
A110360: 9 17 161 24641 606981761 368426853330807041 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x + 2) + 2) * 2),x,x) div ((2 + 2) * 2)) + 1)
A111297: 1 2 5 11 24 52 112 240 512 1088 2304 4864 10240 21504 45056 94208
((if (((x div 2) - 2) - 2) <= 0 then x else ((x - (2 + 2)) * 2)) + 1)
A151547: 1 2 3 4 5 6 7 8 9 10 13 15 17 19 21 23
(if ((x * x) mod ((x + 2) + 2)) <= 0 then ((x div (2 + 2)) + 2) else 1)
A204118: 2 1 1 1 3 1 1 1 1 1 1 1 5 1 1 1
(if x <= 0 then 1 else ((x * x) mod ((x div ((x div (2 + 2)) + 2)) + 1)))
A242252-A100810: 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1
(if ((x - 1) mod (2 + 1)) <= 0 then (x mod ((x div (2 + 2)) + 2)) else 1)
A232529: 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1
((if (x - 2) <= 0 then x else (((x * 2) - (x mod (2 + 2))) * 2)) + 1)
A160513: 1 2 3 7 17 19
((((x div (2 + 2)) + x) * 2) + (if (x mod (2 + 2)) <= 0 then 2 else 1))
A260181: 2 3 5 7 12 13 15 17 22 23 25 27 32 33 35 37
loop(\(x,i).(x * x),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017630: 81 441 1089 2025 3249 4761 6561 8649 11025 13689 16641 19881 23409 27225 31329 35721
loop(\(x,i).(x * x),2,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017632: 6561 194481 1185921 4100625 10556001 22667121 43046721 74805201 121550625 187388721 276922881 395254161 547981281 741200625 981506241 1275989841
((loop(\(x,i).(i * x),x,((((x - 1) * x) div 2) - 2)) div 2) + 1)
A173038: 0 0 0 4 49 481 4681 47881 524161 6168961 78019201 1057795201 15328051201 236626790401 3879433958401 67345229952001
(if (x mod 2) <= 0 then (((((x div (2 + 2)) + x) div 2) mod 2) * 2) else 1)
A284620: 0 1 2 1 0 1 2 1 2 1 0 1 2 1 0 1
(2 div (((x - 1) mod (((if (x mod 2) <= 0 then x else 2) + 2) * 2)) + 1))
A295976: 0 2 1 0 0 0 0 0 0 2 0 0 0 0 0 0
(loop(\(x,i).(x * x),1,(x - (((1 - (x * 2)) * 2) * 2))) + 1)
A154277: 17 26 197 530 1025 1682 2501 3482 4625 5930 7397 9026 10817 12770 14885 17162
((loop(\(x,i).((1 - ((x * 2) * 2)) * 2),(x * 2),2) * 2) - 1)
A228871: 3 227 14563 932067 59652323 3817748707 244335917283 15637498706147 1000799917193443 64051194700380387 4099276460824344803 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),(x * 2),((((x * 2) * 2) * 2) + 1))
A276274: 1 387420489 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) * 2) * 2) + 1)))
A017000: 1 16777216 2562890625 54875873536 500246412961 2821109907456 11688200277601 39062500000000 111429157112001 281474976710656 645753531245761 1370114370683136 2724905250390625 5132188731375616
(if (2 - x) <= 0 then ((((x mod (2 + 1)) - (x div 2)) div 2) mod 2) else 1)
A189138: 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0
(((if x <= 0 then 1 else ((((x * 2) * 2) - (x div 2)) * 2)) + 2) + 1)
A063237: 4 11 17 25 31 39 45 53 59 67 73 81 87 95 101 109
((loop(\(x,i).(((x * x) div 2) * 2),x,((x div 2) + 2)) * 2) - 1)
A079622: 3 7 127 8191
(if ((x + 1) mod (2 + 1)) <= 0 then ((2 - ((x div 2) mod 2)) * 2) else 1)
A061462: 1 1 2 1 1 4 1 1 4 1 1 2 1 1 2 1
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (((x div 2) mod 2) + 2) else 1)
A334925: 1 1 1 1 2 1 1 1 1 2 1 1 1 1 3 1
((if (x mod 2) <= 0 then x else (x - (x div (((x div 2) mod 2) - 2)))) + 1)
A129266: 1 3 3 7 5 9 7 15 9 15
(if (x mod 2) <= 0 then (x div 2) else (x mod ((((x div 2) mod 2) * 2) + 1)))
A249122: 0 0 1 0 2 0 3 1 4 0 5 2 6 0 7 0
(((if (x - 2) <= 0 then x else ((x + 1) mod ((x mod 2) + 2))) mod 2) + 1)
A308186-A107362: 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 2
((loop(\(x,i).((x + 2) * 2),(x div 2),((x mod 2) + 2)) * 2) + 1)
A164120: 5 7 17 21 41 49 89 105 185 217 377 441 761 889 1529 1785
loop(\(x,i).(x * 2),((x div 2) + x),((((x mod 2) + 2) + 2) + 1))
A164737: 5 12 40 96 320 768 2560 6144 20480 49152 163840 393216 1310720 3145728 10485760 25165824
loop(\(x,i).((2 + 1) * x),(x div 2),((((x mod 2) * 2) * 2) + 1))
A166465: 1 5 3 15 9 45 27 135 81 405 243 1215 729 3645 2187 10935
(((loop(\(x,i).((x * x) * (x + 1)),(x * x),2) * 2) * 2) + 1)
A116169: 9 49 4611686018427387903 4611686018427387903 4611686018427387903
((x - 2) mod (((1 - (if (2 - x) <= 0 then x else 0)) mod (2 + 2)) + 1))
A318655: 0 1 0 1 0 0 0 2 0 0 0 0 0 0 0 1
(if ((x + 1) mod (((x mod (2 + 2)) + 2) + 1)) <= 0 then (2 + 2) else 1)
A069289: 1 1 1 1 1 1 1 1 4 1 1 4 1 1 4 1
((x + 1) div (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 1))
A001438: 1 2 3 4 1 6 7 8
A132739-A060791: 1 2 3 4 1 6 7 8 9 2 11 12 13 14 3 16
(((((x + 2) * x) + 2) div (if (x mod 2) <= 0 then 1 else (2 + 2))) + 1)
A065014-A013945: 3 2 11 5 27 10 51 17 83 26 123 37 171 50 227 65
(if (x - (2 + 2)) <= 0 then (x + 1) else (((x - 1) mod (2 + 2)) + 1))
A322425: 1 2 3 4 5 1 2 3 4 1 2 3 4 1 2 3
(if ((((x + 1) div 2) + 1) mod ((2 + 2) * 2)) <= 0 then (2 + 2) else 1)
A046553-A046552: 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 1
(if ((x - ((x div (2 + 2)) + 2)) mod (2 + 2)) <= 0 then (2 + 2) else 1)
A053231: 1 1 4 1 1 1 1 4 4 1 1 1 1 4 1 1
(x - ((((if (x mod 2) <= 0 then x else 2) - (x div 2)) div (2 + 2)) - 1))
A284120: 1 2 3 4 5 6 7 9 8 11 10 13 12 15 14 18
(if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else ((2 + 2) + 1))
A238192: 0 0 5 0 5 5 5 0 5 5 5 5 5 5 5 0
(0 - (loop(\(x,i).((x - 1) * (2 + 1)),x,0) div ((2 + 2) + 1)))
A178543: 0 1 3 8 24 73 219 656 1968 5905 17715 53144 159432 478297 1434891 4304672
((x * 2) - (((if (2 - x) <= 0 then x else 0) - 1) div ((2 + 2) + 1)))
A232499: 1 3 4 6 8 10 11 13 15 17 19 20 22 24 26 28
(((loop(\(x,i).(x * x),2,(x + 2)) * 2) - 1) * ((2 + 2) + 1))
A224336: 155 805 2555 6245 12955 24005 40955 65605 99995 146405 207355 285605 384155 506245 655355 835205
(((2 - ((if x <= 0 then 1 else x) mod 2)) * (2 + 1)) * ((2 + 2) + 1))
A040211: 15 15 30 15 30 15 30 15 30 15 30 15 30 15 30 15
((loop(\(x,i).((i + x) + 2),x,2) * (2 + 1)) div ((2 + 2) + 1))
A097911: 1 3 5 8
A186494: 1 3 5 8 12 16 21 26 32 39 46 54 62 71 81 91
((if x <= 0 then 1 else x) - (((x div 2) div (2 + 1)) * ((2 + 2) + 1)))
A033926: 1 1 2 3 4 5 1 2 3 4 5 6 2 3 4 5
(if x <= 0 then 1 else ((x - ((x div 2) div (2 + 1))) * ((2 + 2) + 1)))
A007845: 1 5 10 15 20 25 25 30 35 40 45 50 50 55 60 65
loop(\(x,i).(x * x),(2 + 1),(((x * 2) + 1) * ((2 + 2) + 1)))
A017336: 390625 2562890625 152587890625 2251875390625 16815125390625 83733937890625 318644812890625 1001129150390625 2724905250390625 6634204312890625 14774554437890625 30590228625390625 59604644775390625
loop(\(x,i).((x * x) * x),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017331: 125 3375 15625 42875 91125 166375 274625 421875 614125 857375 1157625 1520875 1953125 2460375 3048625 3723875
loop(\(x,i).((x * x) * x),2,(((x * 2) + 1) * ((2 + 2) + 1)))
A017337: 1953125 38443359375 3814697265625 78815638671875 756680642578125 4605366583984375 20711912837890625 75084686279296875 231616946283203125 630249409724609375 1551328215978515625 3517876291919921875
((loop(\(x,i).((x * 2) - 1),(x div 2),x) + 1) * ((2 + 2) + 1))
A236391: 5 10 20 30 70
(loop(\(x,i).((x * 2) * (2 + 1)),x,(x + 1)) * ((2 + 2) + 1))
A212700: 5 60 540 4320 32400 233280 1632960 11197440 75582720 503884800 3325639680 21767823360 141490851840 914248581120 5877312307200 37614798766080
(loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod ((2 + 2) + 1))
A099546: 1 1 3 1 0 3 2 1 4 0 1 3 3 2 0 1
(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) * ((2 + 2) + 1))
A266395: 0 0 0 0 15 75 225 525 1050 1890 3150 4950 7425 10725 15015 20475
(loop(\(x,i).(i * x),(x - 1),((x * x) + 1)) mod ((2 + 2) + 1))
A151669: 1 2 0 0 2 4 0 0 0 0 0 0 0 0 0 0
((loop(\(x,i).i,(x div ((2 + 2) + 1)),1) * 2) * ((2 + 2) + 1))
A245403: 10 10 10 10 10 10 10 10 10 10 20 20 20 20 20 30
(loop(\(x,i).((i + 2) * x),((x + 2) + 1),2) div ((2 + 2) + 1))
A129923: 24 144 1008 8064 72576 725760 7983360 95800320 1245404160 17435658240 261534873600 4184557977600 71137485619200 1280474741145600 24329020081766400 486580401635328000
((((2 - (x mod 2)) * 2) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1))
A040381: 20 20 40 20 40 20 40 20 40 20 40 20 40 20 40 20
(((((x + 2) + 2) + (if x <= 0 then 1 else 2)) * 2) * ((2 + 2) + 1))
A272607: 50 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210
(loop(\(x,i).((x * 2) + 1),x,(x div (2 + 2))) mod ((2 + 2) + 1))
A287556: 0 1 3 2 1 3 2 0 2 0 1 3 3 2 0 1
(loop(\(x,i).((i * i) + (x + 2)),(x + 2),2) div ((2 + 2) + 1))
A026039: 2 4 8 13 21 31 44 61 81 106 135 169 209 254 306 364
(if x <= 0 then ((2 + 1) * 2) else (((x + 2) * 2) div ((2 + 2) + 1)))
A128423: 6 1 1 2 2 2 3 3 4 4 4 5 5 6 6 6
(if x <= 0 then ((2 + 2) * 2) else (((x + 2) * 2) div ((2 + 2) + 1)))
A128881: 8 1 1 2 2 2 3 3 4 4 4 5 5 6 6 6
(loop(\(x,i).(((x * 2) * (2 + 1)) + 1),x,2) * ((2 + 2) + 1))
A198848: 10 65 395 2375 14255 85535 513215 3079295 18475775 110854655 665127935 3990767615 23944605695 143667634175 862005805055 5172034830335
(loop(\(x,i).((x * 2) * (2 + 1)),x,(x + 2)) * ((2 + 2) + 1))
A159733: 10 90 720 5400 38880 272160 1866240 12597120 83980800 554273280 3627970560 23581808640 152374763520 979552051200 6269133127680 39965723688960
(loop(\(x,i).(x * 2),(x div 2),(2 - (x mod 2))) * ((2 + 2) + 1))
A147675: 10 5 20 10 40 20 80 40 160 80 320 160 640 320 1280 640
((x + 2) - ((1 - (if (2 - x) <= 0 then x else 2)) div ((2 + 2) + 1)))
A154660: 3 4 5 6 7 8
A258187: 3 4 5 6 7 8 9 11 12 13 14 15 17 18 19 20
((x + 2) - (((if (x - 2) <= 0 then x else 0) - x) div ((2 + 2) + 1)))
A249299: 2 3 4 6 7 8 10 11 12 13 14 16 17 18 19 20
(((loop(\(x,i).((x * x) * 2),2,2) - 1) * x) div ((2 + 2) + 1))
A169860: 0 25 50 76 101 127 152 177 203 228 254 279 304 330 355 381
loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),x,((2 + 2) + 1))
A199486: 5 32 221 1544 10805 75632 529421 3705944 25941605 181591232 1271138621 8897970344 62285792405 436000546832 3052003827821 21364026794744
(if x <= 0 then 1 else (((((x div 2) mod 2) * 2) + x) div ((2 + 2) + 1)))
A029280: 1 0 0 1 0 1 1 1 1 1 2 2 2 2 3 3
((if x <= 0 then 1 else ((x * 2) * 2)) - ((2 - x) div ((2 + 2) + 1)))
A058759: 1 4 8 13
A311807: 1 4 8 13 17 21 25 29 34 38 42 46 50 55 59 63
(if (((x div 2) + x) mod (2 + 2)) <= 0 then 1 else (x div ((2 + 2) + 1)))
A008677: 1 0 0 1 0 1 1 1 1 1 2 1 2 2 2 3
((((x + 2) + 2) + (if x <= 0 then 1 else 2)) + (x div ((2 + 2) + 1)))
A038609: 5 7 8 9 10 12 13 14 15 16 18 19 20 21 22 24
((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * (x mod ((2 + 2) + 1)))
A309956: 0 1 2 3 4 0 1 2 3 4 0 2 4 6 8 0
(((if (x - 1) <= 0 then x else (2 + 1)) + 2) + (x mod ((2 + 2) + 1)))
A301936: 2 4 7 8 9 5
loop(\(x,i).((x mod (((2 + 2) * 2) + 1)) + x),x,((2 + 2) + 1))
A016084: 5 10 11 13 17 25 32 37 38 40 44 52 59 64 65 67
((x * x) - (x - loop(\(x,i).(x * 2),((0 - x) mod (2 + 2)),1)))
A110214: 1 8 6 8 13
((x + 1) mod (((if (x mod (2 + 1)) <= 0 then 1 else x) mod (2 + 2)) + 1))
A284825-A202523: 1 0 0 0 0 0 1 0 0 0 2 0 1 0 0 0
(x - ((((if (x mod (2 + 1)) <= 0 then 2 else 1) - x) div (2 + 2)) - 1))
A249031: 1 2 4 5 6 7 8 10 11 12 14 15 16 17 19 20
(loop(\(x,i).(((x * 2) * 2) - (i mod (2 + 2))),x,(2 + 2)) - 1)
A037793: 3 14 57 228 915 3662 14649 58596 234387 937550 3750201 15000804 60003219 240012878 960051513 3840206052
(loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),x,(2 + 2)) - 1)
A173770: 3 43 443 4443 44443 444443 4444443 44444443 444444443 4444444443 44444444443 444444444443 4444444444443 44444444444443 444444444444443 4444444444444443
(x mod ((if (x mod ((x mod 2) + 2)) <= 0 then 1 else (x div (2 + 2))) + 1))
A106404: 0 0 0 1 0 1 0 1 0 1 0 2 0 1 0 1
(if (((x div (2 + 1)) + x) mod (2 + 1)) <= 0 then (x div (2 + 2)) else 1)
A137773: 0 1 1 1 1 1 1 1 1 2 1 1 1 1 3 1
(if (x mod ((x mod ((2 + 2) * 2)) + 2)) <= 0 then (x div (2 + 2)) else 1)
A326644: 0 1 1 1 1 1 1 1 2 2 1 1 3 1 1 1
loop(\(x,i).(x * 2),(x - compr(\x.((x div 2) mod 2),(x div (2 + 2)))),1)
A222011: 1 2 4 8
A029930: 1 2 4 8 8 16 32 64 16 32 64 128 128 256 512 1024
(if (x mod 2) <= 0 then 1 else (((x * x) + 1) mod ((x div (2 + 2)) + 1)))
A025824: 1 0 1 0 1 0 1 0 1 1 1 2 1 2 1 2
(if (x mod ((2 + 2) * 2)) <= 0 then 1 else (2 mod ((x div (2 + 2)) + 1)))
A244462: 1 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2
((if (x mod ((2 + 2) * 2)) <= 0 then (x div 2) else (x mod (2 + 2))) + 1)
A338484: 1 2 3 4 1 2 3 4 5 2 3 4 1 2 3 4
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) div ((x mod (2 + 2)) + 1))
A256012-A025874: 1 0 0 0 1 0 0 0 1 1 0 0 2 1 0 0
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(2 + 2)) + 1)
A199753: 5 45 485 5325 58565 644205 7086245 77948685 857435525 9431790765 103749698405 1141246682445 12553713506885 138090848575725 1518999334332965 16708992677662605
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(2 + 2)) - 1)
A199020: 3 43 483 5323 58563 644203 7086243 77948683 857435523 9431790763 103749698403 1141246682443 12553713506883 138090848575723 1518999334332963 16708992677662603
((((loop(\(x,i).((i + x) + (x * x)),x,0) - x) div 2) div 2) + 1)
A288557: 1 1 1 6 139
loop(\(x,i).((x * 2) * 2),(((((2 + 2) + 1) * x) + 2) * 2),1)
A013879: 256 268435456 281474976710656 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(((((2 + 2) + 1) * x) + 2) * 2),1)
A013851: 81 4782969 282429536481 16677181699666569 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else ((x - (((x div (2 + 1)) - x) * 2)) * 2)) + 1)
A063222: 2 7 13 15 21 27 29 35 41 43 49 55 57 63 69 71
(((x * x) * (x * x)) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070586: 0 1 16 38 41 23 6 36 11 25 24 21 10 9 17 14
((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) + 2) + 1)
A173736: 5 15 115 1115 11115 111115 1111115 11111115 111111115 1111111115 11111111115 111111111115 1111111111115 11111111111115 111111111111115 1111111111111115
((loop(\(x,i).((x - ((2 - x) * (2 + 2))) * 2),x,2) * 2) + 1)
A173776: 5 9 49 449 4449 44449 444449 4444449 44444449 444444449 4444444449 44444444449 444444444449 4444444444449 44444444444449 444444444444449
(((if x <= 0 then 1 else ((x * x) div (x - ((2 - x) div 2)))) mod 2) + 1)
A270646: 2 2 1 1 2 2 1 1 2 1 2 2 1 1 2 1
(2 div ((((x div 2) + 1) mod ((if (x mod 2) <= 0 then x else 2) + 2)) + 1))
A127282: 1 1 0 0 0 0 0 2 0 1 0 0 0
(((x - ((0 - loop(\(x,i).(i * x),x,1)) div (x + 2))) * 2) - 1)
A018260: 1 3 5 9 15 45
((((loop(\(x,i).(x * 2),x,(2 + 1)) + 2) * (x + 2)) div 2) - 1)
A340228: 4 11 27 64 149 342 775 1736 3849 8458 18443 39948 86029 184334 393231 835600
((if (x mod 2) <= 0 then 2 else (((2 - (x div 2)) mod (x + 2)) mod 2)) + 1)
A317203: 3 1 3 2 3 1 3 1 3 2 3 1 3 2 3 1
(loop(\(x,i).((x * 2) * 2),x,(x + 2)) * (((x + 2) + 2) + 1))
A228310: 10 72 448 2560 13824 71680 360448 1769472 8519680 40370176 188743680 872415232 3992977408 18119393280 81604378624 365072220160
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else ((x + 2) + 2)) + 1)
A252493-A005496: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20
(loop(\(x,i).((i + 2) * x),(2 + 2),1) * (((x + 2) * 2) + 1))
A069476: 1800 2520 3240 3960 4680 5400 6120 6840 7560 8280 9000 9720 10440 11160 11880 12600
(((if (x - (((2 + 2) + 1) * 2)) <= 0 then x else (x + 2)) + 2) + 1)
A154660: 3 4 5 6 7 8
A333491: 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20
loop(\(x,i).(((((x mod 2) + 2) + 2) + 1) * x),((x - 2) * 2),1)
A259345: 1 1 1 30 750
((loop(\(x,i).(((x - 2) * x) - 1),(x - 1),(x * 2)) div 2) + 1)
A110067: 1 2 4 242
(((((x div (0 - 2)) mod 2) + (if x <= 0 then 1 else (x * 2))) * 2) + 1)
A020574: 3 7 11 13 17 23
((if x <= 0 then 1 else ((((x mod (2 + 1)) mod 2) + (x * 2)) * 2)) - 1)
A168224: 0 5 7 11 17 19 23 29 31 35 41 43 47 53 55 59
((if x <= 0 then 2 else ((((x + 1) * x) div 2) + ((x * 2) * 2))) - 1)
A183905: 1 4 10 17 25 34 44 55 67 80 94 109 125 142 160 179
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) * 2) + 1))
A016817: 1 3125 59049 371293 1419857 4084101 9765625 20511149 39135393 69343957 115856201 184528125 282475249 418195493 601692057 844596301
((if x <= 0 then 1 else (((((x * 2) * 2) * 2) - (x div 2)) * 2)) + 1)
A063118: 2 17 31 47 61 77 91 107 121 137 151 167 181 197 211 227
loop(\(x,i).((2 + 1) * x),(0 - ((2 - x) div ((x div 2) + 2))),1)
A105159: 1 1 1 3 3 3 3 3 3 9 9 9 9 9 9 9
loop(\(x,i).(x * 2),((x div 2) - (x mod (2 - ((x div 2) mod 2)))),1)
A173300: 1 1 2 2 4 2 8 8 16 8 32 32 64 32 128 128
((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then (x mod 2) else 2) + 1)
A091935: 1 2 3 2 3 3 3 2 3 3 3 3 3 3 3 2
((x div (if (x mod (2 + 2)) <= 0 then 1 else ((2 - (x mod 2)) * 2))) + 1)
A065261: 1 1 1 2 5 3 2 4 9 5 3 6 13 7 4 8
loop(\(x,i).((2 + 1) * x),(x div 2),(((2 - (x mod 2)) * 2) + 1))
A162813: 5 3 15 9 45 27 135 81 405 243 1215 729 3645 2187 10935 6561
(if (x - 1) <= 0 then x else (((((x * x) * 2) - (x mod 2)) + 2) + 1))
A160843: 0 1 11 20 35 52 75 100 131 164 203 244 291 340 395 452
(if ((x + 2) mod (((2 + 1) * 2) + 1)) <= 0 then ((x mod 2) + 2) else 1)
A030395: 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 1
(((loop(\(x,i).(x * 2),x,1) div (2 + 1)) * ((x mod 2) + 2)) + 1)
A131588: 1 1 3 7 11 31 43 127 171 511 683 2047 2731 8191 10923 32767
(((x * x) - 1) mod ((if (x - 2) <= 0 then 1 else ((x mod 2) + 2)) + 1))
A000086: 1 0 1 0 0 0 2 0 0 0 0 0 2 0 0 0
(((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * ((x mod 2) + 2)) - 1)
A323287: 1 2 1 2 1 2 1 2 1 2 3 5 3 5 3 5
(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) div (((x mod 2) + 2) + 1))
A133647: 1 3 12 27 108 243 972 2187 8748 19683 78732 177147 708588 1594323 6377292 14348907
loop(\(x,i).(x * 2),(((x + 2) * x) div 2),(((x mod 2) + 2) + 1))
A146161: 3 8 48 512 12288 524288 50331648 8589934592 3298534883328 2251799813685248 3458764513820540928 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i * i) * x),(x + 1),1) + ((x mod 2) * 2)) - 1)
A089043: 0 5 35 577 14399 518401 25401599 1625702401 131681894399 13168189440001 1593350922239999 229442532802560001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (((x div 2) + 1) mod ((2 + 2) + 1)) <= 0 then ((x mod 2) * 2) else 1)
A136713: 1 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1
(1 - (if (x - ((2 + 2) * (2 + 1))) <= 0 then ((x mod 2) * 2) else 1))
A016323-A016167-A016063-A015907-A015855-A015751-A015595-A015543-A015387-A015231-A015127-A015075-A014971-A014815-A014763-A014607-A014503-A014451: 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 0 0 0
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + ((x mod 2) * 2)) - 1)
A274073: 0 7 35 217 1295 7777 46655 279937 1679615 10077697 60466175 362797057 2176782335 13060694017 78364164095 470184984577
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) - ((x mod 2) * 2)) + 1)
A274074: 2 5 37 215 1297 7775 46657 279935 1679617 10077695 60466177 362797055 2176782337 13060694015 78364164097 470184984575
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - ((x mod 2) * 2)) + 1)
A087404: 2 4 26 124 626 3124 15626 78124 390626 1953124 9765626 48828124 244140626 1220703124 6103515626 30517578124
(loop(\(x,i).(i * 2),(x div (2 + 2)),1) div (((x mod 2) * 2) + 1))
A029186: 1 0 1 0 2 0 2 0 4 1 4 1 6 2 6 2
(loop(\(x,i).(x * 2),(x div 2),(2 + 1)) * (((x mod 2) * 2) + 1))
A134693: 3 9 6 18 12 36 24 72 48 144 96 288 192 576 384 1152
(loop(\(x,i).((x * x) * 2),(x div 2),2) * (((x mod 2) * 2) + 1))
A116083: 2 6 8 24 128 384 32768 98304 2147483648 6442450944
loop(\(x,i).((x + 1) * (2 + 1)),(x div 2),(((x mod 2) * 2) + 1))
A087503: 1 3 6 12 21 39 66 120 201 363 606 1092 1821 3279 5466 9840
loop(\(x,i).(((x * 2) + 1) * 2),(x div 2),(((x mod 2) * 2) + 1))
A277954: 1 3 6 14 26 58 106 234 426 938 1706 3754 6826 15018 27306 60074
loop(\(x,i).(((x * 2) * 2) * 2),(x div 2),(((x mod 2) * 2) + 1))
A096886: 1 3 8 24 64 192 512 1536 4096 12288 32768 98304 262144 786432 2097152 6291456
loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),(((x mod 2) * 2) + 1))
A018272: 1 3 5 15 25 75
A018421: 1 3 5 15 25 75 125 375
A111386-A056487: 1 3 5 15 25 75 125 375 625 1875 3125 9375 15625 46875 78125 234375
loop(\(x,i).((((i mod 2) + 1) * x) * 2),x,(((x mod 2) * 2) + 1))
A164675: 1 12 8 96 64 768 512 6144 4096 49152 32768 393216 262144 3145728 2097152 25165824
(if (((x div 2) - 2) - 2) <= 0 then x else (x - (((x mod 2) * 2) - 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A113220-A113218: 0 1 2 3 4 5 6 7 8 9 11 10 13 12 15 14
(((loop(\(x,i).(x * x),2,(2 + 1)) + ((x * x) * 2)) * 2) + 1)
A057604: 163 167 179 199 227 263 307 359 419 487 563 647 739 839 947 1063
((loop(\(x,i).((((x * x) div (x + 2)) + x) * x),x,2) * 2) - 1)
A319749: 3 11 119 14159 200477279 40191139395243839
(loop(\(x,i).(x * x),1,((x - (((x * x) * x) div 2)) * 2)) + 1)
A096996: 1 5 17 401
(loop(\(x,i).(i + x),(x - (((2 + 1) * 2) + 1)),0) div (2 + 1))
A309881: 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 12
(loop(\(x,i).((((i + x) * 2) + i) + 2),(x + 1),0) * (2 + 1))
A059145: 15 54 141 324 699 1458 2985 6048 12183 24462 49029 98172 196467 393066 786273
(((1 - x) - loop(\(x,i).((x * 2) - (i div 2)),x,0)) div (2 + 1))
A178742: 0 0 0 0 1 4 11 25 53 109 222 449 904 1814 3634 7274
(loop(\(x,i).(((((i * i) + 2) * i) * i) + x),x,0) div (2 + 1))
A061927: 0 1 9 42 138 363 819 1652 3060 5301 8701 13662 20670 30303 43239 60264
((x - (if (x mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)) * (2 + 1))
A187337: 0 0 3 6 9 12 15 21 21 24 27 30 33 36 42 42
((loop(\(x,i).((((i + x) - 1) * x) + 2),x,0) + 1) * (2 + 1))
A300981: 3 9 27 249
(loop(\(x,i).i,(x mod (((2 + 2) mod (x + 1)) + 1)),1) mod (2 + 1))
A282714: 1 1 1 1 1 1 1 2 0 1 1 1 2 0 1 1
(((((if (x mod 2) <= 0 then x else 1) + x) mod (2 + 1)) + 1) * (2 + 1))
A269226: 3 9 6 6 9 3 3 9 6 6 9 3 3 9 6 6
((loop(\(x,i).(x * 2),x,((x * x) mod (2 + 1))) + 1) div (2 + 1))
A087463: 0 1 1 0 5 11 0 43 85 0 341 683 0 2731 5461 0
loop(\(x,i).(x * x),1,((((x * 2) * (x + 1)) - 1) * (2 + 1)))
A110853: 9 81 1089
(loop(\(x,i).(x * 2),x,1) - ((((2 + 2) * 2) + 1) * (2 + 1)))
A220087: ~26 ~25 ~23 ~19 ~11 5 37 101 229 485 997 2021 4069 8165 16357 32741
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A222011: 1 2 4 8
A269305-A070337: 1 2 4 8 16 5 10 20 13 26 25 23 19 11 22 17
(loop(\(x,i).((x * x) * 2),(x * x),((2 + 2) + 1)) - (2 + 1))
A177190: 2 47 4999999999999997 4611686018427387903 4611686018427387903
((((if (x mod 2) <= 0 then 2 else 0) + (x div (2 + 2))) + 1) div (2 + 1))
A025825: 1 0 1 0 1 0 1 0 1 1 1 1 2 1 2 1
(((loop(\(x,i).(x - ((i - x) * 2)),x,2) * 2) - 1) * (2 + 1))
A173391: 9 21 45 105 273 765 2229 6609 19737 59109 177213 531513 1594401 4783053 14348997 43046817
loop(\(x,i).(x * x),(2 + 1),((((x * 2) * 2) + 1) * (2 + 1)))
A017564: 6561 2562890625 282429536481 5352009260481 45767944570401 248155780267521 1001129150390625 3282116715437121 9227446944279201 23045377697175681 52389094428262881 110324037687890625
loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017559: 27 3375 19683 59319 132651 250047 421875 658503 970299 1367631 1860867 2460375 3176523 4019679 5000211 6128487
loop(\(x,i).((x * x) * x),2,((((x * 2) * 2) + 1) * (2 + 1)))
A017565: 19683 38443359375 7625597484987 208728361158759 2334165173090451 15633814156853823 75084686279296875 285544154243029527 913517247483640899 2558036924386500591 4611686018427387903
loop(\(x,i).(x * x),1,(x - ((((x * 2) * 2) + 1) * (2 + 1))))
A017426: 9 196 625 1296 2209 3364 4761 6400 8281 10404 12769 15376 18225 21316 24649 28224
loop(\(x,i).(x * x),2,(x - ((((x * 2) * 2) + 1) * (2 + 1))))
A017428: 81 38416 390625 1679616 4879681 11316496 22667121 40960000 68574961 108243216 163047361 236421376 332150625 454371856 607573201 796594176
(((((if x <= 0 then 1 else x) * 2) + ((x div 2) mod 2)) + 1) div (2 + 1))
A213856: 1 1 2 2 3 3 4 5 5 6 7 8 8 9 10 10
(loop(\(x,i).(x * 2),x,1) - ((((x mod 2) * 2) - 1) * (2 + 1)))
A140657: 4 ~1 7 5 19 29 67 125 259 509 1027 2045 4099 8189 16387 32765
loop(\(x,i).((x * 2) + 1),x,(((2 + 2) * (2 + 1)) * (2 + 1)))
A171390: 36 73 147 295 591 1183 2367 4735 9471 18943 37887 75775 151551 303103 606207 1212415
(loop(\(x,i).((2 - x) * 2),x,((1 - x) mod (2 + 1))) div (2 + 1))
A328824: 0 1 1 1 ~7 ~7 ~7 57 57 57 ~455 ~455 ~455 3641 3641 3641
(if (x div ((2 + 2) + 1)) <= 0 then x else ((x - (2 + 1)) * (2 + 1)))
A204502: 0 1 2 3 4 6 9 12 15 18 21 24 27 30 33 36
((if x <= 0 then 0 else (2 - (((1 - x) * x) * (2 + 1)))) * (2 + 1))
A211615: 0 6 24 60 114 186 276 384 510 654 816 996 1194 1410 1644 1896
loop(\(x,i).((x * x) * x),1,(((x * x) * (2 + 1)) * (2 + 1)))
A016770: 0 729 46656 531441 2985984 11390625 34012224 85766121 191102976 387420489 729000000 1291467969 2176782336 3518743761 5489031744 8303765625
(if x <= 0 then 1 else ((x - (1 mod (((1 - x) * 2) + 1))) * (2 + 1)))
A179805: 1 3 6 15 24 33 42 51 60 69 78 87 96 105 114 123
((loop(\(x,i).(((i * 2) - 1) * x),x,(x + 2)) + 1) div (2 + 1))
A261898: 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 39529267903125 1138442915610000 35078272337233125
(2 - (if x <= 0 then 1 else ((x div 2) - (((x * 2) + 1) * (2 + 1)))))
A258588: 1 11 16 22 27 33 38 44 49 55 60 66 71 77 82 88
loop(\(x,i).(x * x),(2 + 1),(x - (((x * 2) + 1) * (2 + 1))))
A016892: 6561 16777216 815730721 11019960576 78310985281 377801998336 1406408618241 4347792138496 11688200277601 28179280429056 62259690411361 128063081718016 248155780267521 457163239653376
(loop(\(x,i).((x - (i mod 2)) * 2),x,((x * 2) + 1)) div (2 + 1))
A113861: 0 1 5 15 41 103 249 583 1337 3015 6713 14791 32313 70087 151097 324039
loop(\(x,i).(0 - x),x,(1 - ((x mod ((x div 2) + 1)) div (2 + 1))))
A014191: 1 ~1 1 ~1 1 ~1 1 0 0 0 0 0 0 1 ~1 1
(((if ((x div (2 + 2)) - 2) <= 0 then 2 else (x mod 2)) - 1) mod (2 + 1))
A264049: 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 0
(loop(\(x,i).((((x * 2) * 2) div (i + 1)) + 1),x,1) mod (2 + 1))
A194317: 1 0 2 0 2 1 0 2 1 1 1 1 1 1 1 1
loop(\(x,i).(x * x),(2 + 1),((((2 + 1) * x) + 1) * (2 + 1)))
A017204: 6561 429981696 37822859361 656100000000 5352009260481 28179280429056 111429157112001 360040606269696 1001129150390625 2478758911082496 5595818096650401 11716593810022656 23045377697175681
loop(\(x,i).((x * x) * x),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017199: 27 1728 9261 27000 59319 110592 185193 287496 421875 592704 804357 1061208 1367631 1728000 2146689 2628072
loop(\(x,i).((x * x) * x),2,((((2 + 1) * x) + 1) * (2 + 1)))
A017205: 19683 5159780352 794280046581 19683000000000 208728361158759 1352605460594688 6351461955384057 23762680013799936 75084686279296875 208215748530929664 520411082988487293 1195092568622310912
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,1) * (2 + 1))
A199688: 3 27 267 2667 26667 266667 2666667 26666667 266666667 2666666667 26666666667 266666666667 2666666666667 26666666666667 266666666666667 2666666666666667
(loop(\(x,i).((((x * x) * 2) - (x mod 2)) + 1),x,1) * (2 + 1))
A074894: 3 6 27 486
(loop(\(x,i).((x * x) div 2),2,(((x - 1) * x) - 1)) div (2 + 1))
A179059: 0 0 0 24 600 5400 29400 117600 381024 1058400 2613600 5880600 12269400 24048024 44717400 79497600
(2 - (loop(\(x,i).(((x div (2 + 1)) + x) - 2),x,1) div (2 + 1)))
A120149: 2 3 4 5 7 9 12 16 21 28 38 50 67 89 119 159
((((x div 2) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A024495: 0 0 1 3 6 11 21 42 85 171 342 683 1365 2730 5461 10923
(((loop(\(x,i).(x * x),(x - 1),2) + 1) * (x + 1)) div (2 + 1))
A034384: 1 2 5 22 428
(if x <= 0 then 1 else ((((x * x) div (2 + 1)) mod (x + 1)) div (2 + 1)))
A029318: 1 0 0 1 0 0 1 0 1 2 0 1 3 0 1 3
(loop(\(x,i).(x div (((x mod 2) - 2) - 1)),2,(x + 1)) mod (2 + 1))
A236831: 0 0 0 0 1 0 1 1 2 1 2 1 0 2 2 2
loop(\(x,i).((x - 2) * x),1,(((2 + 2) * (x + 1)) * (2 + 1)))
A305072: 120 528 1224 2208 3480 5040 6888 9024 11448 14160 17160 20448 24024 27888 32040 36480
loop(\(x,i).(x * x),1,(2 - (((2 + 2) * (x + 1)) * (2 + 1))))
A017642: 100 484 1156 2116 3364 4900 6724 8836 11236 13924 16900 20164 23716 27556 31684 36100
loop(\(x,i).(x * x),2,(2 - (((2 + 2) * (x + 1)) * (2 + 1))))
A017644: 10000 234256 1336336 4477456 11316496 24010000 45212176 78074896 126247696 193877776 285610000 406586896 562448656 759333136 1003875856 1303210000
loop(\(x,i).((x * 2) * 2),((x * 2) + 1),((x + 1) * (2 + 1)))
A193132: 12 384 9216 196608 3932160 75497472 1409286144 25769803776 463856467968 8246337208320 145135534866432 2533274790395904 43910096366862336 756604737398243328 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) + ((x + 1) * (2 + 1)))
A286186: 7 22 73 268 1039 4114 16405 65560 262171 1048606 4194337 16777252 67108903 268435498 1073741869 4294967344
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((x + 1) div (2 + 1)))
A315538: 1 6 11 17 23 28 34 40 45 51 57 62 68 74 79 85
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((x + 1) div (2 + 1)))
A301298: 1 5 9 14 19 23 28 33 37 42 47 51 56 61 65 70
((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1))
A132896-A089789-A034852: 0 0 0 0 1 0 0 1 1 0 0 2 2 2 0 0
(loop(\(x,i).((x * 2) * 2),(x - 2),x) * ((x - 1) * (2 + 1)))
A129532: 0 0 6 72 576 3840 23040 129024 688128 3538944 17694720 86507520 415236096 1962934272 9160359936 42278584320
loop(\(x,i).(x * 2),x,((((x - 2) * x) * (x - 1)) div (2 + 1)))
A290031: 0 0 0 16 128 640 2560 8960 28672 86016 245760 675840 1802240 4685824 11927552 29818880
(loop(\(x,i).(x * 2),x,1) div (((x * x) * (x - 1)) + (2 + 1)))
A332281: 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 10
(loop(\(x,i).((((i - 1) mod (2 + 1)) + 2) * x),x,1) * (2 + 1))
A076510: 3 6 18 72 144 432 1728 3456 10368 41472 82944 248832 995328 1990656 5971968 23887872
((loop(\(x,i).(x * 2),(x - 1),x) * ((x * x) - 1)) div (2 + 1))
A290026: 0 0 4 32 160 640 2240 7168 21504 61440 168960 450560 1171456 2981888 7454720 18350080
((((if x <= 0 then 1 else ((x * 2) * (2 + 1))) + 1) * 2) * (2 + 1))
A270700: 12 42 78 114 150 186 222 258 294 330 366 402 438 474 510 546
(((if x <= 0 then 1 else (x mod ((x div (2 + 1)) + 1))) + 2) div (2 + 1))
A035942: 1 0 0 1 0 1 0 1 1 1 1 1 1 1 2 1
(x - (1 - (((if (x mod (2 + 1)) <= 0 then 2 else 1) + 2) * (2 + 1))))
A004500: 11 9 10 14 12 13 17 15 16 20 18 19 23 21 22 26
(if ((x div (2 + 1)) - 2) <= 0 then x else (((2 + 1) * 2) * (2 + 1)))
A171723: 0 1 2 3 4 5 6 7 8 18 18 18 18 18 18 18
loop(\(x,i).(((x + 2) * 2) + x),x,(((2 + 1) * 2) * (2 + 1)))
A155155: 18 58 178 538 1618 4858 14578 43738 131218 393658 1180978 3542938 10628818 31886458 95659378 286978138
((loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) * 2) div (2 + 1))
A130810: 16 80 240 560 1120 2016 3360 5280 7920 11440 16016 21840 29120 38080 48960 62016
loop(\(x,i).(x * x),(2 + 1),((((x * 2) + 1) * 2) * (2 + 1)))
A017600: 1679616 11019960576 656100000000 9682651996416 72301961339136 360040606269696 1370114370683136 4304672100000000 11716593810022656 28525864220672256 63527879748485376 131532383853732096
loop(\(x,i).((x * x) * x),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017595: 216 5832 27000 74088 157464 287496 474552 729000 1061208 1481544 2000376 2628072 3375000 4251528 5268024 6434856
loop(\(x,i).((x * x) * x),2,((((x * 2) + 1) * 2) * (2 + 1)))
A017601: 10077696 198359290368 19683000000000 406671383849472 3904305912313344 23762680013799936 106868920913284608 387420489000000000 1195092568622310912 3251948521156637184 4611686018427387903
loop(\(x,i).(x * x),1,(x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017462: 36 289 784 1521 2500 3721 5184 6889 8836 11025 13456 16129 19044 22201 25600 29241
loop(\(x,i).(x * x),2,(x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017464: 1296 83521 614656 2313441 6250000 13845841 26873856 47458321 78074896 121550625 181063936 260144641 362673936 492884401 655360000 855036081
((if (((x + 1) mod ((2 + 2) + 1)) * x) <= 0 then 1 else 2) + (2 + 1))
A117768: 4 5 5 5 4 5 5 5 5 4 5 5 5 5 4 5
loop(\(x,i).(x * x),1,((((x + 2) * (x + 1)) div 2) * (2 + 1)))
A208138: 9 81 324 900 2025 3969 7056 11664 18225 27225 39204 54756 74529 99225 129600 166464
(if x <= 0 then 1 else (x - ((x div 2) - (((x + 1) * 2) * (2 + 1)))))
A258589: 1 13 19 26 32 39 45 52 58 65 71 78 84 91 97 104
(((((2 - (x mod 2)) * 2) * 2) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040553: 24 24 48 24 48 24 48 24 48 24 48 24 48 24 48 24
((((x * x) + 2) * x) div loop(\(x,i).((x * x) + 1),2,(2 + 1)))
A177337: 0 0 0 0 0 1 2 3 5 7 10 13 17 22 27 33
((x + 2) - (if x <= 0 then 1 else (x div (((0 - 2) - 2) * (2 + 1)))))
A026425: 1 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19
(((if (x - 2) <= 0 then x else (2 - (x div (0 - 2)))) * 2) div (2 + 1))
A255574-A230980: 0 0 1 2 2 3 3 4 4 4 4 5 5 6 6 6
(loop(\(x,i).(x * 2),((x mod 2) - (x div (0 - 2))),2) * (2 + 1))
A112034: 6 24 12 48 24 96 48 192 96 384 192 768 384 1536 768 3072
((if x <= 0 then 1 else x) - ((x - ((x div (0 - 2)) mod 2)) div (2 + 1)))
A156351: 1 1 2 2 3 4 5 5 6 7 7 8 8 9 10 10
(((loop(\(x,i).((x + 2) * 2),(x + 1),1) * 2) * 2) * (2 + 1))
A304376: 72 192 432 912 1872 3792 7632 15312 30672 61392 122832 245712 491472 982992 1966032 3932112
(((loop(\(x,i).(x * 2),x,((2 + 2) + 1)) + 2) * 2) * (2 + 1))
A305153: 42 72 132 252 492 972 1932 3852 7692 15372 30732 61452 122892 245772 491532 983052
((((((x * x) + 1) * (if x <= 0 then 1 else 2)) * 2) * 2) div (2 + 1))
A299259: 1 5 13 26 45 69 98 133 173 218 269 325 386 453 525 602
(loop(\(x,i).((x div 2) + x),x,(((2 + 2) * 2) * 2)) div (2 + 1))
A120135: 5 8 12 18 27 40 60 90 135 203 304 456 684 1026 1539 2309
(if (x - 1) <= 0 then x else (((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)))
A242082-A242081: 0 1 0 1 2 0 1 0 1 2 0 1 2 0 1 0
(loop(\(x,i).((x div (2 + 1)) + x),(x - 2),(2 + 2)) div (2 + 1))
A072493: 1 1 1 1 2 2 3 4 5 7 9 12 16 22 29 39
loop(\(x,i).(((2 + 1) * x) - 2),(x * 2),((2 + 2) * (2 + 1)))
A199681: 12 100 892 8020 72172 649540 5845852 52612660 473513932 4261625380 38354628412 345191655700 3106724901292 27960524111620 251644717004572 2264802453041140
(((if (x mod 2) <= 0 then x else 0) - (x div 2)) mod ((2 + 2) * (2 + 1)))
A074335: 0 0 1 11 2 10 3 9 4 8 5 7 6 6
loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,((2 + 2) * (2 + 1)))
A199316: 12 56 276 1376 6876 34376 171876 859376 4296876 21484376 107421876 537109376 2685546876 13427734376 67138671876 335693359376
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,((2 + 2) * (2 + 1)))
A145186: 12 1764 5489037036 4611686018427387903 4611686018427387903
((((if ((2 - x) + 2) <= 0 then x else 1) + x) * (2 + 2)) div (2 + 1))
A013578: 1 2 4 5 10 13 16
((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1))
A285385-A026437: 1 2 4 5 6 8 10 12 13 14 16 17 18 20 21 22
((((if ((2 - x) + 2) <= 0 then x else 2) + x) * (2 + 2)) div (2 + 1))
A240748: 2 4 5 6 10 13
((loop(\(x,i).(((x + 2) * (2 + 1)) - 1),x,2) * 2) * (2 + 1))
A277104: 12 66 228 714 2172 6546 19668 59034 177132 531426 1594308 4782954 14348892 43046706 129140148 387420474
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 2) * (2 + 1))
A086577: 0 54 594 5994 59994 599994 5999994 59999994 599999994 5999999994 59999999994 599999999994 5999999999994 59999999999994 599999999999994 5999999999999994
((loop(\(x,i).(x - (((i mod 2) - x) * 2)),x,2) * 2) div (2 + 1))
A321573: 1 2 8 22 68 202 608 1822 5468 16402 49208 147622 442868 1328602 3985808 11957422
((loop(\(x,i).((2 + 1) * x),(x - 1),(x + 2)) * 2) div (2 + 1))
A199923: 1 2 8 30 108 378 1296 4374 14580 48114 157464 511758 1653372 5314410 17006112 54206982
((loop(\(x,i).(((i * x) - 1) * x),2,(x + 2)) div 2) div (2 + 1))
A006324: 1 11 46 130 295 581 1036 1716 2685 4015 5786 8086 11011 14665 19160 24616
((if (((x div 2) - 2) - 2) <= 0 then x else ((x + 2) + 2)) * (2 + 1))
A323422-A071073: 0 3 6 9 12 15 18 21 24 27 42 45 48 51 54 57
(loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) * 2)) div (2 + 1))
A053126: 5 35 126 330 715 1365 2380 3876 5985 8855 12650 17550 23751 31465 40920 52360
loop(\(x,i).(x * x),(2 + 1),(x - (((x * 2) * 2) * (2 + 1))))
A017396: 0 214358881 54875873536 1406408618241 14048223625216 83733937890625 360040606269696 1235736291547681 3596345248055296 9227446944279201 21435888100000000 45949729863572161 92170395205042176
loop(\(x,i).(x * x),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017414: 4 169 576 1225 2116 3249 4624 6241 8100 10201 12544 15129 17956 21025 24336 27889
loop(\(x,i).(x * x),2,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017416: 16 28561 331776 1500625 4477456 10556001 21381376 38950081 65610000 104060401 157351936 228886641 322417936 442050625 592240896 777796321
(((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x div 2)) * 2) div (2 + 1))
A029133: 1 1 1 1 1 1 1 1 1 2 3 3 4 4 4 4
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x div 2),2) * (2 + 1))
A117859: 6 6 42 42 294 294 2058 2058 14406 14406 100842 100842 705894 705894 4941258 4941258
(((2 + 1) * x) - (((if (x - 2) <= 0 then 0 else x) - 2) div (2 + 1)))
A086824: 1 4 7 9 12 14 17 20 22 25 28 30 33 36 38 41
(loop(\(x,i).(((x - ((i mod 2) * 2)) * 2) + 1),x,2) div (2 + 1))
A131666: 0 0 1 1 2 3 7 14 29 57 114 227 455 910 1821 3641
loop(\(x,i).((2 + 1) * x),((((2 + 2) + 1) * x) + 2),(2 + 1))
A013828: 27 6561 1594323 387420489 94143178827 22876792454961 5559060566555523 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x mod ((if ((2 - x) mod (2 + 2)) <= 0 then 1 else x) + 2)) + (2 + 1))
A154660: 3 4 5 6 7 8
A333914: 3 4 5 6 7 8 3 10 11 12 4 14 15 16 5 18
(loop(\(x,i).(x - (1 - ((x * 2) * (2 + 1)))),x,2) * (2 + 1))
A199491: 6 39 270 1887 13206 92439 647070 4529487 31706406 221944839 1553613870 10875297087 76127079606 532889557239 3730226900670 26111588304687
loop(\(x,i).(x * x),(2 + 1),((((2 + 1) * x) + 2) * (2 + 1)))
A017240: 1679616 2562890625 110075314176 1406408618241 9682651996416 45767944570401 167961600000000 513798374428641 1370114370683136 3282116715437121 7213895789838336 14774554437890625 28525864220672256
loop(\(x,i).((x * x) * x),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017235: 216 3375 13824 35937 74088 132651 216000 328509 474552 658503 884736 1157625 1481544 1860867 2299968 2803221
loop(\(x,i).((x * x) * x),2,((((2 + 1) * x) + 2) * (2 + 1)))
A017241: 10077696 38443359375 2641807540224 46411484401953 406671383849472 2334165173090451 10077696000000000 35452087835576229 106868920913284608 285544154243029527 692533995824480256 1551328215978515625
(((((if (x - 2) <= 0 then 1 else x) mod (2 + 1)) * x) div 2) + (2 + 1))
A254279: 3 3 4 3 5 8 3
((if x <= 0 then 1 else x) - ((((x div (2 + 1)) - x) * 2) div (2 + 1)))
A289026: 1 2 4 5 6 8 9 11 12 13 15 17 18 19 21 22
(x - (2 - loop(\(x,i).(x * x),(((x - 1) * x) div 2),(2 + 1))))
A175980: 1 2 9 6562 4611686018427387903
((x mod ((if ((1 - x) mod (2 + 1)) <= 0 then 2 else x) + 2)) div (2 + 1))
A249858: 0 0 0 1 0 1 2 1 2 3 0 3 4 0 4 5
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,2) * (2 + 1))
A137120: 6 66 666 6666 66666 666666 6666666 66666666 666666666 6666666666 66666666666 666666666666 6666666666666 66666666666666 666666666666666
((loop(\(x,i).(((i * i) + x) * (x + 1)),2,x) div 2) div (2 + 1))
A132366: 1 6 21 56 125 246 441 736 1161 1750 2541 3576 4901 6566 8625 11136
((loop(\(x,i).((((i + x) * x) div 2) + 2),2,x) div 2) div (2 + 1))
A274233: 1 1 3 7 14 27 48 80 127 192 280 397 547 736 972 1261
(if (x mod 2) <= 0 then (x + 2) else ((((x div 2) + x) + 2) * (2 + 1)))
A228967: 2 9 4 18 6 27 8 36 10 45 12 54 14 63 16 72
(if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else ((x - 2) div (2 + 1)))
A078490: 1 1 1 1 1 1 1 1 1 1 1 1 1 3 4 4
loop(\(x,i).(x - (((x * 2) * 2) * (2 + 1))),(x * 2),(2 + 1))
A324269: 3 363 43923 5314683 643076643 77812273803 9415285130163 1139249500749723 137849189590716483 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x * 2) - (2 mod (1 - (x * 2)))) * (2 + 1)))
A316320: 1 6 15 27 39 51 63 75 87 99 111 123 135 147 159 171
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) + ((x * 2) * (2 + 1)))
A221908: 1 12 48 234 1320 7806 46692 279978 1679664 10077750 60466236 362797122 2176782408 13060694094 78364164180 470184984666
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - ((x * 2) * (2 + 1)))
A198396: 1 0 24 198 1272 7746 46620 279894 1679568 10077642 60466116 362796990 2176782264 13060693938 78364164012 470184984486
loop(\(x,i).(((x * x) * x) * (x * x)),1,((x * 2) * (2 + 1)))
A016913: 0 7776 248832 1889568 7962624 24300000 60466176 130691232 254803968 459165024 777600000 1252332576 1934917632 2887174368 4182119424 5904900000
(1 - ((x mod 2) - loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1))))
A183430: 4 27 244 2187 19684 177147 1594324 14348907 129140164 1162261467 10460353204 94143178827 847288609444 7625597484987 68630377364884 617673396283947
(((x + 2) + 2) - (if x <= 0 then 1 else ((1 - (x div 2)) div (2 + 1))))
A276278: 3 5 6 7 9 10 11 12 13 14 16 17 18 19 20 21
((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) + x) * 2) div (2 + 1))
A338743-A265667: 0 1 2 4 3 6 8 5 10 12 7 14 16 9 18 20
(loop(\(x,i).((i + 2) * x),(x - 1),((x * x) div 2)) div (2 + 1))
A259706: 0 0 2 16 160 1440 15120
(1 - (((if ((x div (2 + 2)) - 2) <= 0 then x else 0) + x) mod (2 + 1)))
A016310-A016076-A015842-A015686-A015608-A015452-A015218-A015140-A014906-A014750-A014672: 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 0 1 0 ~1 1
((if (x mod (((x div (2 + 2)) mod 2) + 2)) <= 0 then 1 else x) mod (2 + 1))
A278287: 1 1 1 0 1 2 1 1 1 0 1 2 1 1 2 1
loop(\(x,i).(x - ((1 - (x * 2)) * ((2 + 2) + 1))),x,(2 + 1))
A199754: 3 28 303 3328 36603 402628 4428903 48717928 535897203 5894869228 64843561503 713279176528 7846070941803 86306780359828 949374583958103 10443120423539128
loop(\(x,i).((x * x) * x),1,((((2 + 2) + 1) * x) + (2 + 1)))
A016887: 27 512 2197 5832 12167 21952 35937 54872 79507 110592 148877 195112 250047 314432 389017 474552
loop(\(x,i).((x * x) * x),2,((((2 + 2) + 1) * x) + (2 + 1)))
A016893: 19683 134217728 10604499373 198359290368 1801152661463 10578455953408 46411484401953 165216101262848 502592611936843 1352605460594688 3299763591802133 7427658739644928 15633814156853823
loop(\(x,i).((x - i) * x),2,((((2 + 2) + 1) * x) + (2 + 1)))
A001512: 24 3024 24024 93024 255024 570024 1113024 1974024 3258024 5085024 7590024 10923024 15249024 20748024 27615024 36060024
(((((if (x - 2) <= 0 then 2 else (x div 2)) * 2) + 1) + x) div (2 + 1))
A086936: 1 2 2 2 3 3 4 4 5 6 7 7 8 8 9 10
(((if (x - (2 + 2)) <= 0 then 2 else (x - (2 + 1))) + x) div (2 + 1))
A083479: 0 1 1 1 2 2 3 3 4 5 5 6 7 7 8 9
((loop(\(x,i).(((i * i) * x) + 1),(x - 2),1) + x) div (2 + 1))
A327436: 0 0 1 1 4 29
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,(2 + 1))
A003409: 3 9 30 105 378 1386 5148 19305 72930 277134 1058148 4056234 15600900 60174900 232676280 901620585
(1 - (((if (((x div 2) - 2) - 2) <= 0 then x else 1) + x) mod (2 + 1)))
A016220-A016022-A015956-A015758-A015560-A015428-A015362-A015230-A015032-A014966-A014768-A014636-A014570: 1 ~1 0 1 ~1 0 1 ~1 0 1 ~1 1 0 ~1 1 0
(loop(\(x,i).(((2 - x) div ((x div 2) + 2)) + 1),2,x) * (2 + 1))
A073080: 3 3 3 6 6 6 6 6 6 12 12 12 12 12 12 12
(((loop(\(x,i).i,(x - ((2 + 1) * 2)),2) * 2) + x) div (2 + 1))
A184258: 1 1 2 2 2 3 3 3 4 5 6 7 8 9 10 11
(((((if (x - 2) <= 0 then 2 else (x - 2)) div 2) * 2) + x) div (2 + 1))
A255573: 0 1 1 1 2 2 3 3 4 5 6 6 7 7 8 9
(((x div ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2))) - x) mod (2 + 1))
A235127: 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 2
((x + 2) - (if x <= 0 then 1 else (((x mod (2 + 2)) - x) div (2 + 1))))
A120519: 1 3 4 5 8 9 10 11 13 14 15 16 18 19 20 21
(loop(\(x,i).(((x * x) * 2) + 1),((x + 2) * 2),x) - (2 + 1))
A282021: 720 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) div (i + 1)) + ((x * 2) * 2)),x,(2 + 1))
A033876: 3 15 70 315 1386 6006 25740 109395 461890 1939938 8112468 33801950 140408100 581690700 2404321560 9917826435
loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),x,(2 + 1))
A037758: 3 12 49 198 795 3180 12721 50886 203547 814188 3256753 13027014 52108059 208432236 833728945 3334915782
loop(\(x,i).(((x - (1 - ((i mod 2) * 2))) * x) div 2),x,(2 + 1))
A110809: 3 6 15 120 7140 25493370 324955944231765 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * x),2,(x + 1)) * (x + 2)) * x) div (2 + 1))
A245828: 0 16 216 1280 5000 15120 38416 86016 174960 330000 585640 988416 1599416 2497040 3780000 5570560
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1))
A008864: 3 4 6 8 12 14 18 20 24 30 32 38 42 44 48 54
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + (2 + 1))
A135731: 3 6 8 12 14 18 20 24 30 32 38 42 44 48 54 60
(loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) * x)) div (2 + 1))
A189345: 0 1 126 1820 12650 58905 211876 635376 1663740 3921225 8495410 17178876 32795126 59626385 103962600 174792640
(loop(\(x,i).(((i + 1) * x) * (2 + 1)),(x - 2),x) div (2 + 1))
A052678: 0 0 0 6 72 1080 19440 408240 9797760 264539520 7936185600 261894124800 9428188492800 367699351219200 15443372751206400 694951773804288000
(loop(\(x,i).(((x div (2 + 2)) + x) - 1),(x div 2),x) div (2 + 1))
A241317: 0 0 0 0 1 1 2 2 4 4 6 7 10 11 15 17
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,(2 + 1))
A007054: 3 2 3 6 14 36 99 286 858 2652 8398 27132 89148 297160 1002915 3421710
loop(\(x,i).(((x * x) div 2) div ((2 + 2) + 1)),2,(x - (2 + 1)))
A338335: 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 19
(loop(\(x,i).(0 - x),x,((x mod (2 + 1)) - 1)) * (x div (2 + 1)))
A160706: 0 0 0 1 0 ~1 ~2 0 2 3 0 ~3 ~4 0 4 5
(if (((x div 2) mod ((2 + 2) + 1)) - 2) <= 0 then 1 else (x div (2 + 1)))
A106795: 1 1 1 1 1 1 2 2 2 3 1 1 1 1 1 1
(((x + 1) * 2) - ((x mod 2) - (if x <= 0 then 1 else (x div (2 + 1)))))
A049626: 3 3 6 8 11 12 16 17 20 22 25 26 30 31 34 36
(((x * x) * x) - loop(\(x,i).((x * x) * x),1,(x div (2 + 1))))
A213039: 0 1 8 26 63 124 208 335 504 702 973 1304 1664 2133 2680 3250
(x - ((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) + (x div (2 + 1))))
A065361: 0 1 2 2 3 4 4 5 6 4 5 6 6 7 8 8
loop(\(x,i).(x + 2),(((x - 2) div (2 + 1)) - 2),(x div (2 + 1)))
A035680: 0 0 0 1 1 1 2 2 2 3 3 5 6 6 8 9
((if x <= 0 then 1 else ((((x + 2) + 1) * x) div 2)) - (x div (2 + 1)))
A111097: 1 2 5 8 13 19 25 33 42 51 62 74 86 100 115 130
(((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x * 2)) + (x div (2 + 1)))
A047370: 2 3 5 9 10 12 16 17 19 23 24 26 30 31 33 37
(((if ((x div 2) mod (2 + 1)) <= 0 then 0 else 1) + x) + (x div (2 + 1)))
A047585: 0 1 3 5 6 7 8 9 11 13 14 15 16 17 19 21
(((if (x - 2) <= 0 then 2 else ((2 + 2) * 2)) + x) + (x div (2 + 1)))
A285618: 2 3 4 12 13 14 16 17 18 20 21 22 24 25 26 28
(loop(\(x,i).(x * 2),(x - 1),(x mod 2)) + (x - (x div (2 + 1))))
A266479: 0 2 2 6 3 20 4
((if ((x div (2 + 1)) - 2) <= 0 then 0 else (2 + 1)) + (x mod (2 + 1)))
A163325: 0 1 2 0 1 2 0 1 2 3 4 5 3 4 5 3
(loop(\(x,i).(((x + 1) * x) + (i mod 2)),x,1) + (x mod (2 + 1)))
A111266: 1 4 14 157
(((if ((x div 2) - 2) <= 0 then 1 else 2) + (x * 2)) - (x mod (2 + 1)))
A246440: 1 2 3 7 8 9 14 15 16 20 21 22 26 27 28 32
loop(\(x,i).(((x - 1) mod (2 + 2)) * (2 + 1)),x,(x mod (2 + 1)))
A021147: 0 0 6 9 9 3 0 0 6 9 9 3 0 0 6 9
(if x <= 0 then 1 else ((((x * 2) * 2) * 2) * (x - (x mod (2 + 1)))))
A030025: 1 0 0 72 96
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + x),x,(2 + 1))
A199025: 3 38 423 4658 51243 563678 6200463 68205098 750256083 8252816918 90780986103 998590847138 10984499318523 120829492503758 1329124417541343 14620368592954778
loop(\(x,i).(((x * 2) div (((i mod 2) * 2) + 1)) + x),x,(2 + 1))
A163114: 3 5 15 25 75 125 375 625 1875 3125 9375 15625 46875 78125 234375 390625
((loop(\(x,i).((x * x) * x),2,((2 + 1) * x)) * x) * (2 + 1))
A016774: 0 59049 60466176 3486784401 61917364224 576650390625 3570467226624 16679880978201 63403380965376 205891132094649 590490000000000 1531578985264449 3656158440062976 8140406085191601 17080198121677824
loop(\(x,i).(((((x + 2) * 2) * 2) div (i + 1)) + x),x,(2 + 1))
A166805: 3 13 33 68 124 208 328 493 713 999 1363 1818 2378 3058 3874 4843
((x + 2) - (if (x - 1) <= 0 then 1 else (((2 - x) * x) div (2 + 1))))
A231408: 1 2 4 6 9
A156022: 1 2 4 6 9 12 16 21 26 32 39 46 54 63 72 82
loop(\(x,i).(((x * 2) div (i + 1)) - ((i + 2) * x)),x,(2 + 1))
A238474: 3 ~6 20 ~90 504 ~3360 25920 ~226800 2217600 ~23950080 283046400 ~3632428800 50295168000 ~747242496000 11856247603200 ~200074178304000
(loop(\(x,i).(((x * 2) * 2) - (x div 2)),2,(x * x)) div (2 + 1))
A256322: 0 4 16 37 65 102 147 200 261 331 408 494 588 690 800 919
loop(\(x,i).((((x * x) * (x + 2)) + 2) * x),(x * x),(2 + 1))
A255190: 3 141 4611686018427387903
(((if ((x - 1) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else x) * 2) + 1)
A160144: 1 3 5 7 9 11 13 15 17 19 3 23 25 27 29 31
((loop(\(x,i).((x + 2) + 1),((x div (2 + 1)) - 1),x) * 2) + 1)
A039578-A033032: 1 3 5 7 9 11 19 21 23 31 33 35 43 45 47 55
(loop(\(x,i).((((x * 2) * (2 + 1)) div (i + 1)) - 1),x,2) - 1)
A331052: 1 4 8 11 12 11 8 4 1
((if x <= 0 then 1 else ((((x div 2) div ((2 + 2) + 1)) + x) * 2)) + 1)
A324697: 2 3 5 7 9 11 13 15 17 19 23 25 27 29 31 33
loop(\(x,i).((x * 2) * (2 + 1)),((((2 + 2) + 1) * x) + 2),1)
A013839: 36 279936 2176782336 16926659444736 131621703842267136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),((((2 + 2) + 1) * x) + 2),1)
A013847: 64 2097152 68719476736 2251799813685248 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013835: 25 78125 244140625 762939453125 2384185791015625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(((((2 + 2) + 1) * x) * 2) + 1))
A017288: 1 214358881 37822859361 852891037441 7984925229121 45767944570401 191707312997281 645753531245761 1853020188851841 4702525276151521 10828567056280801 23045377697175681 45949729863572161
loop(\(x,i).((x * x) * x),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017283: 1 1331 9261 29791 68921 132651 226981 357911 531441 753571 1030301 1367631 1771561 2248091 2803221 3442951
loop(\(x,i).((x * x) * x),2,(((((2 + 2) + 1) * x) * 2) + 1))
A017289: 1 2357947691 794280046581 26439622160671 327381934393961 2334165173090451 11694146092834141 45848500718449031 150094635296999121 427929800129788411 1093685272684360901 2558036924386500591
((loop(\(x,i).((x - 2) * 2),(x - ((2 + 2) + 1)),x) * 2) + 1)
A152484: 1 3 5 7 9 11 17 33
((if x <= 0 then 1 else (((((x * x) * (2 + 2)) - 1) * x) * 2)) + 1)
A065397: 2 7 61 211
(loop(\(x,i).(((x * 2) * 2) - ((i - 1) mod (2 + 1))),x,2) - 1)
A037611: 1 7 30 121 487 1950 7801 31207 124830 499321 1997287 7989150 31956601 127826407 511305630 2045222521
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(((2 + 1) * x) + 2),1)
A013751: 144 248832 429981696 743008370688 1283918464548864 2218611106740436992 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * x) * 2),2,2) * (((2 + 1) * x) + 2)) + 1)
A229855: 257 641 1025 1409 1793 2177 2561 2945 3329 3713 4097 4481 4865 5249 5633 6017
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 + 1) * x) + 2),1)
A013747: 100 100000 100000000 100000000000 100000000000000 100000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((2 + 1) * x) + 2),1)
A013741: 49 16807 5764801 1977326743 678223072849 232630513987207 79792266297612001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i * 2) - 1) * x) + (x div 2)) - 1),x,2) - 1)
A211179: 1 1 5 31 238
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) * 2) + 1)
A076274: 1 3 5 9 13 21 25 33 37 45 57 61 73 81 85 93
(((loop(\(x,i).((x * x) * x),(x + 1),(x + 1)) * x) div 2) + 1)
A308675-A308672: 1 257 7625597484988 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),((((2 + 2) * (x + 1)) + x) * 2),1)
A013881: 65536 68719476736 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017354: 49 289 729 1369 2209 3249 4489 5929 7569 9409 11449 13689 16129 18769 21609 24649
loop(\(x,i).(x * x),2,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017356: 2401 83521 531441 1874161 4879681 10556001 20151121 35153041 57289761 88529281 131079601 187388721 260144641 352275361 466948881 607573201
loop(\(x,i).((2 + 1) * x),((((2 + 2) * (x + 1)) + x) * 2),1)
A013853: 6561 387420489 22876792454961 1350851717672992089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 - (x mod 2))),x,((((x + 1) * x) div 2) + 1))
A213671: 1 1 1 7 11 1 11 29 37 23 7 67 79 23 53 121
((loop(\(x,i).(((2 - (i mod 2)) * x) - 1),(x - 1),x) div 2) + 1)
A330442: 1 1 1 2 3 6 8 18
((loop(\(x,i).(x - (i - ((i * i) * 2))),(x - 1),x) * 2) + 1)
A161707: 1 3 7 21 53 111 203 337 521 763 1071 1453 1917 2471 3123 3881
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((x - 1) * x) div 2),1)
A110147: 1 1 10 1000 1000000 10000000000 1000000000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((x - 1) * x) div 2),1)
A109493: 1 1 7 343 117649 282475249 4747561509943 558545864083284007 4611686018427387903 4611686018427387903 4611686018427387903
(x - ((((x div ((2 + 2) * 2)) - (if x <= 0 then 1 else x)) * 2) + 1))
A276889: 1 2 5 8 11 14 17 20 21 24 27 30 33 36 39 42
(((x * 2) - (((x div (2 + 2)) - (if x <= 0 then 1 else x)) div 2)) + 1)
A184978: 2 4 6 9 11
A184627: 2 4 6 9 11 13 16 18 20 23 25 28 30 32 35 37
(((((((x mod 2) * 2) + x) + 2) * (if x <= 0 then 1 else x)) div 2) + 1)
A020607: 2 3 5 11 13 23
(((((x div (2 + 1)) + x) + 2) * ((if x <= 0 then 1 else x) * 2)) - 1)
A089485: 3 5 15 35 55
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,2) - 1)
A131428: 1 1 3 9 27 83 263 857 2859 9723 33591 117571 416023 1485799 5348879 19389689
(((x * 2) - (((if ((x div 2) - 2) <= 0 then 0 else 2) - x) div 2)) + 1)
A231407: 1 4 6
A234373: 1 4 6 9 11 14 15 18 20 23
(((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else x) * 2) + 1)
A056617: 1 3 5 7 9 11 13 5 17 19 21 23 25 27 29 31
(((x div 2) + 1) div ((if ((x div (2 + 1)) - 2) <= 0 then x else 2) + 1))
A244463: 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2
(((loop(\(x,i).(((2 + 1) * x) - 1),(x + 1),2) * x) div 2) + 1)
A212337: 1 8 42 184 731 2736 9844 34448 118101 398584 1328606 4384392 14348911 46633952 150663528 484275616
((((if x <= 0 then 1 else ((((2 + 2) + 1) * 2) * 2)) + x) * 2) - 1)
A073921: 1 41 43 45 47
((((if (x - (2 + 1)) <= 0 then 1 else ((2 + 2) * 2)) + x) * 2) - 1)
A269721: 1 3 5 7 23 25
((((x div (((if (x mod 2) <= 0 then 2 else x) div 2) + 2)) + x) div 2) + 1)
A086335: 1 1 2 3 3 4 5 5 6 6 7 7 9 8 10 9
((((x - ((x div 2) mod 2)) div 2) + x) + (if (2 - x) <= 0 then 2 else 1))
A263800: 1 2 4 6 8 9 10
A065090: 1 2 4 6 8 9 10 12 14 15 16 18 20 21 22 24
((((loop(\(x,i).((x * x) - 1),(x div 2),x) div 2) + x) div 2) + 1)
A242737: 1 1 2 4 59
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) * 2) + 1)
A131426: 1 3 7 11 19 23 31 35 43 55 59 71 79 83 91 103
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div 2) + 1)
A130290: 1 1 2 3 5 6 8 9 11 14 15 18 20 21 23 26
(loop(\(x,i).((((2 + 1) * i) * (i + 1)) + (x * 2)),x,2) - 1)
A257448: 1 9 37 111 283 657 1441 3051 6319 12909 26149 52695 105859 212265 425161 851043
(1 - ((2 + 1) mod ((x mod 2) - (loop(\(x,i).(x * 2),x,2) - 1))))
A290073: 1 2 5 12 29 60 125 252 509 1020 2045 4092 8189 16380 32765 65532
((loop(\(x,i).(((i * 2) * (i + 1)) + x),(x * 2),x) * 2) + 1)
A015219: 1 35 165 455 969 1771 2925 4495 6545 9139 12341 16215 20825 26235 32509 39711
(((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then (x mod 2) else x) * 2) + 1)
A033465: 1 3 1 7 9 11 13 3 17 19 21 23 1 27 29 31
(loop(\(x,i).(x - ((x div ((i * 2) + 1)) - (i * 2))),x,2) - 1)
A283733: 1 3 7 12 19 28 38 50 63 78 95 113 133 155 178 203
(if ((x + 2) mod (2 - (x mod ((0 - 2) - 2)))) <= 0 then (x + 2) else 1)
A088140: 2 1 4 1 6 1 8 9 10 1 12 1 14 15 16 1
loop(\(x,i).(x * 2),x,(((((x + 2) + 2) + 2) * (x + 2)) + 1))
A098385: 13 44 132 368 976 2496 6208 15104 36096 84992 197632 454656 1036288 2342912 5259264 11730944
((loop(\(x,i).((x * 2) + 1),x,((x + 2) + 2)) * (x + 2)) + 1)
A250652: 9 34 109 316 859 2234 5625 13816 33271 78838 184309 425972 974835 2211826 4980721 11141104
loop(\(x,i).(x * 2),((((x * 2) * 2) - (x div 2)) div (x + 2)),1)
A164632: 1 2 2 4 4 4 4 4 4 4 4 8 8 8 8 8
loop(\(x,i).(((x * x) * (x - 1)) * (x + 2)),1,((x + 2) + 1))
A027621: 90 288 700 1440 2646 4480 7128 10800 15730 22176 30420 40768 53550 69120 87856 110160
loop(\(x,i).(((x + 2) + 2) * 2),((2 + 1) * 2),((x + 2) + 1))
A157435: 696 760 824 888 952 1016 1080 1144 1208 1272 1336 1400 1464 1528 1592 1656
(if ((x - 1) mod ((2 + 2) * 2)) <= 0 then ((x * x) div (x + 2)) else 1)
A117825: 1 0 1 1 1 1 1 1 1 7 1 1 1 1 1 1
loop(\(x,i).(x - (((x div (0 - 2)) - 1) div (2 + 1))),(x - 2),1)
A266744: 1 1 1 2 3 4 5 7 9 11 14 17 21 25 30 36
loop(\(x,i).((((((x * x) * 2) - 1) * x) * x) + 2),(x - 2),1)
A327058: 1 1 1 3 155
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),1)
A120588: 1 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x * 2),1)
A002458: 1 10 126 1716 24310 352716 5200300 77558760 1166803110 17672631900 269128937220 4116715363800 63205303218876 973469712824056 15033633249770520 232714176627630544
loop(\(x,i).(((x * 2) * 2) - ((i * 2) div (x + 1))),(x * 2),1)
A196664: 1 11 176 2816 45056 720896 11534336 184549376 2952790016 47244640256 755914244096 12094627905536 193514046488576 3096224743817216 49539595901075456 792633534417207296
loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),(x * 2),1)
A048990: 1 2 14 132 1430 16796 208012 2674440 35357670 477638700 6564120420 91482563640 1289904147324 18367353072152 263747951750360 3814986502092304
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i + 1)),(x * 2),1)
A095761: 1 123 12345 1234567 123456789 12345679011 1234567901233 123456790123455 12345679012345677 1234567901234567899 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) + 2) * x) * 2) div (i + 1)),(x * 2),1)
A054329: 1 20 224 1920 14080 93184 573440 3342336 18677760 100925440 530579456 2726297600 13740539904 68115496960 332859965440 1606317768704
((loop(\(x,i).((x * x) * x),((x * x) + 1),2) - (x * 2)) - 1)
A224469: 7 509 4611686018427387903 4611686018427387903
(((if (((x div 2) - 2) - 2) <= 0 then 1 else (2 + 2)) + (x * 2)) + 1)
A251237: 2 4 6 8 10 12 14 16 18 20 25 27 29 31 33 35
loop(\(x,i).((((x mod 2) * 2) * (2 + 1)) - (x div 2)),(x * 2),1)
A117378: 1 ~3 ~4 ~1 3 4 1 ~3 ~4 ~1 3 4 1 ~3 ~4 ~1
loop(\(x,i).((2 + 1) * x),(x div 2),(((x mod 2) + (x * 2)) + 1))
A203231: 1 4 15 24 81 108 351 432 1377 1620 5103 5832 18225 20412 63423 69984
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x * 2),1)
A024492: 1 5 42 429 4862 58786 742900 9694845 129644790 1767263190 24466267020 343059613650 4861946401452 69533550916004 1002242216651368 14544636039226909
(loop(\(x,i).(i * x),(x - (x div (2 + 1))),1) mod ((x * 2) + 1))
A283362: 0 1 2 2 6 2 11 0 6 17 0 1 20 0 1 2
((loop(\(x,i).((x * 2) * 2),x,(2 + 2)) - 1) div ((x * 2) + 1))
A191636: 3 5 12 36 113 372 1260 4369 15420 55188 199728 729444 2684354 9942053 37025580 138547332
(loop(\(x,i).(((x div 2) + x) * 2),x,(2 + 1)) * ((x * 2) + 1))
A268633: 3 24 120 504 1944 7128 25272 87480 297432 997272 3306744 10865016 35429400 114791256 369882936 1186176312
(loop(\(x,i).(x - ((i * x) * 2)),(x * 2),1) div ((x * 2) + 1))
A035319: 1 1 21 1485 225225 59520825 24325703325 14230536445125 11288163762500625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(2 + 1),((x * 2) + 1)) div ((x * 2) + 1))
A016759: 1 2187 78125 823543 4782969 19487171 62748517 170859375 410338673 893871739 1801088541 3404825447 6103515625 10460353203 17249876309 27512614111
((((if x <= 0 then 1 else x) mod 2) * ((x * 2) + 1)) * ((x * 2) + 1))
A270010: 1 9 0 49 0 121 0 225 0 361 0 529 0 729 0 961
(loop(\(x,i).((x * x) * x),2,((x * 2) + 1)) * ((x * 2) + 1))
A016762: 1 59049 9765625 282475249 3486784401 25937424601 137858491849 576650390625 2015993900449 6131066257801 16679880978201 41426511213649 95367431640625 205891132094649 420707233300201 819628286980801
loop(\(x,i).(((2 + 2) + 1) * x),((x * 2) + 1),((x * 2) + 1))
A072172: 5 375 15625 546875 17578125 537109375 15869140625 457763671875 12969970703125 362396240234375 10013580322265625 274181365966796875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((((x mod 2) - x) - 1) * ((x * 2) + 1)))
A014736: 1 9 225 441 2025 3025 8281 11025 23409 29241 53361 64009 105625 123201 189225 216225
loop(\(x,i).((((x * 2) + 1) * x) div (i + 1)),2,((x * 2) + 1))
A060541: 1 70 495 1820 4845 10626 20475 35960 58905 91390 135751 194580 270725 367290 487635 635376
((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) * ((x * 2) + 1))
A269270: 4 108 1620 20412 236196 2598156 27634932 286978140 2927177028 29443957164 292889889684 2887057484028 28242953648100 274521509459532 2653707924775476 25530500379736476
((loop(\(x,i).((x * 2) * 2),x,(x + 2)) div 2) * ((x * 2) + 1))
A002698: 1 18 160 1120 6912 39424 212992 1105920 5570560 27394048 132120576 627048448 2936012800 13589544960 62277025792 282930970624
((loop(\(x,i).(((x + 1) * x) + 1),2,x) - 2) * ((x * 2) + 1))
A008515: 1 33 275 1267 4149 10901 24583 49575 91817 159049 261051 409883 620125 909117 1297199 1807951
(loop(\(x,i).(x - ((x div 2) div (i + 1))),2,x) + ((x * 2) + 1))
A184911: 1 4 7 10 12 15 18 20 22 25 28 31 33 36 39 41
loop(\(x,i).(((x * x) div ((x + 2) + 1)) + x),x,((x * 2) + 1))
A306349: 1 4 13 35 99
loop(\(x,i).((((((i mod 2) + 2) + 2) * 2) + 1) * x),(x * 2),1)
A327926: 1 99 9801 970299 96059601 9509900499 941480149401 93206534790699 9227446944279201 913517247483640899 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * x) div ((2 + 2) + 1)) * 2) + 1),(x div 2),1)
A147236-A146812-A146687-A146655-A146599: 1 1 1 1 1 1 1 1 1 1 3 3 7 7 19 19
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x div 2),1)
A128015: 1 1 3 3 10 10 35 35 126 126 462 462 1716 1716 6435 6435
(if (x - 2) <= 0 then (((((2 + 2) + 1) * 2) * 2) - (x div 2)) else 1)
A278831: 20 20 19 1 1 1 1 1 1 1 1 1 1 1 1 1
(if (2 - (x mod (((2 - x) mod (2 + 2)) + 2))) <= 0 then (x div 2) else 1)
A111957: 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1
(((x mod ((if ((x div 2) mod 2) <= 0 then 2 else x) div 2)) * (x div 2)) + 1)
A063928: 1 1 1 1 1 1 1 4 1 1 1 6 1 1 1 8
(x div (1 - (((1 - x) * x) div loop(\(x,i).(x * 2),(x div 2),1))))
A113788: 0 1 1 0 1 0 1 1 1 1 2 2 3 3 4 5
(((if (x mod 2) <= 0 then (x div 2) else (0 - 2)) + 1) * ((x div 2) + 1))
A051494: 1 ~1 4 ~2 9 ~3 16 ~4 25 ~5 36 ~6 49 ~7 64 ~8
loop(\(x,i).(x * x),1,((((x + 1) * 2) + 1) * ((x div 2) + 1)))
A051515: 9 25 196 324 1089 1521 3600 4624 9025 11025 19044 22500 35721 41209 61504 69696
((if ((x div 2) mod 2) <= 0 then ((2 + 2) * 2) else 1) mod ((x div 2) + 1))
A064894: 0 0 1 1 2 2 1 1 3 3 1 1 1 1 1 1
(loop(\(x,i).(i * x),x,(((x div 2) * 2) + 1)) div ((x div 2) + 1))
A229244: 1 1 3 9 40 200 1260 8820 72576 653184 6652800 73180800 889574400 11564467200 163459296000 2451889440000
((((if (x - 2) <= 0 then x else (x + 1)) * x) + 1) div ((x div 2) + 1))
A079811: 1 2 2 6 7 10 10
((if (x mod 2) <= 0 then 1 else (((2 + 2) + 1) * 2)) * ((x div 2) + 1))
A173237: 1 10 2 20 3 30 4 40 5 50 6 60 7 70 8 80
(loop(\(x,i).((x * x) * x),1,((x + 1) div 2)) * ((x div 2) + 1))
A212765: 0 1 2 16 24 81 108 256 320 625 750 1296 1512 2401 2744 4096
(loop(\(x,i).(x * 2),((x - 1) div 2),(x div 2)) * ((x div 2) + 1))
A330592: 0 0 2 4 12 24 48 96 160 320 480 960 1344 2688 3584 7168
(((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)) + ((x div 2) + 1))
A029027: 1 1 2 2 3 3 4 4 5 6 8 9 11 12 14 15
(2 - ((if (x mod ((x mod 2) + 2)) <= 0 then 2 else x) div ((x div 2) + 1)))
A072491: 0 1 1 1 2 1 2 1 2 2 2 1 2 1 2 2
(((if (x - 2) <= 0 then 1 else ((x * x) div 2)) + x) * ((x div 2) + 1))
A283438: 1 2 6 14 36
loop(\(x,i).((i - (1 - ((i mod 2) * 2))) * x),x,((x div 2) + 1))
A155519: 1 2 4 16 72 432 2880 23040 201600 2016000 21772800 261273600 3353011200 46942156800 697426329600 11158821273600
loop(\(x,i).((((x * 2) - (i mod 2)) mod (i + 1)) * x),(x div 2),1)
A139550: 1 1 1 1 2 2 6 6 12 12 60 60 60 60 420 420
((((x * 2) div ((if (x mod 2) <= 0 then 2 else 0) + 1)) + (x mod 2)) + 1)
A026209: 1 4 2 8 3 12 5 16 6 20 7 24 9 28 10 32
(((if ((x mod ((2 + 2) + 1)) - 2) <= 0 then 2 else 1) * (x mod 2)) + 1)
A227339: 1 3 1 2 1 3 1 3 1 2 1 3 1 2 1 3
((((if (x mod 2) <= 0 then 2 else x) * ((x * 2) + 1)) + (x mod 2)) - 1)
A330987: 1 3 9 21 17 55 25 105 33 171 41 253 49 351 57 465
(((if ((x mod ((2 + 2) + 1)) - 1) <= 0 then 1 else 2) * (x mod 2)) + 1)
A108103: 1 2 1 3 1 2 1 3 1 3 1 2 1 3 1 2
((if (x mod ((((2 + 1) * 2) + 1) * 2)) <= 0 then 2 else (x mod 2)) - 1)
A318657: 1 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1 0 1 0
(if x <= 0 then 1 else (((((x - 1) mod (2 + 2)) * 2) - (x mod 2)) + 1))
A173014: 1 0 3 4 7 0 3 4 7 0 3 4 7 0 3 4
((if (((x mod (2 + 1)) * (x div 2)) mod 2) <= 0 then 2 else (x mod 2)) - 1)
A077010: 1 1 1 1 1 1 1 0 1 1 ~1 1 1 1 1 1
(loop(\(x,i).((x + 2) * 2),((x + 1) div 2),(2 - (x mod 2))) - 1)
A058918: 1 5 7 15 19 35
A079360: 1 5 7 15 19 35 43 75 91 155 187 315 379 635 763 1275
((loop(\(x,i).(((x - (i mod 2)) * 2) * 2),x,2) - (x mod 2)) - 1)
A126019: 1 2 15 58 239 954 3823 15290 61167 244666 978671 3914682 15658735 62634938 250539759 1002159034
(loop(\(x,i).((((2 + 2) + 1) * x) + 2),(x div 2),(x mod 2)) + 1)
A131959: 1 2 3 8
A294566: 1 2 3 8 13 38 63 188 313 938 1563 4688 7813 23438 39063 117188
loop(\(x,i).i,((x + 1) mod (((2 + 1) * 2) + 1)),((x mod 2) + 1))
A277545: 1 2 3 4 5 6 1 1 2 3 4 5 6 2 1 2
(loop(\(x,i).((((i + 1) div 2) + 1) * x),x,1) div ((x mod 2) + 1))
A092187: 1 1 4 6 36 72 576 1440 14400 43200 518400 1814400 25401600 101606400 1625702400 7315660800
loop(\(x,i).(((x * 2) * 2) * 2),((x + 1) div 2),((x mod 2) + 1))
A164703: 1 16 8 128 64 1024 512 8192 4096 65536 32768 524288 262144 4194304 2097152 33554432
loop(\(x,i).((((2 + 2) + 1) * x) + 2),(x div 2),((x mod 2) + 1))
A238366: 1 2 7 12 37 62 187 312 937 1562 4687 7812 23437 39062 117187 195312
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x div 2),((x mod 2) + 1))
A018281: 1 2 7 14 49 98
A018592: 1 2 7 14 49 98 343 686
A123752: 1 2 7 14 49 98 343 686 2401 4802 16807 33614 117649 235298 823543 1647086
((((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1) * x) * ((x mod 2) + 1))
A109047: 0 6 6 6 12 30 6 42 24 18 30 66 12 78 42 30
loop(\(x,i).(((x mod 2) + 1) * ((x * 2) + 1)),x,((x mod 2) + 1))
A113835: 1 5 13 45 109 365 877 2925 7021 23405 56173 187245 449389 1497965 3595117 11983725
loop(\(x,i).(((x div ((i mod 2) + 1)) + x) + 1),x,((x mod 2) + 1))
A079362: 1 4 5 14 17 44 53 134 161 404 485 1214 1457 3644 4373 10934
((((if x <= 0 then 2 else x) + 1) * (2 + 1)) - (x div ((x mod 2) + 1)))
A157989: 9 6 7 11 11
loop(\(x,i).(((((i mod 2) + 2) * 2) + 1) * x),x,((x mod 2) + 1))
A182753: 1 14 35 490 1225 17150 42875 600250 1500625 21008750 52521875 735306250 1838265625 25735718750 64339296875 900750156250
(((if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 1 else x) * (x mod 2)) + 1)
A214060: 1 2 1 4 1 6 1 8 1 10 1 2 1 14 1 16
(loop(\(x,i).(((x div ((i mod 2) + 1)) + x) + 1),x,(x mod 2)) + 1)
A211221: 1 3 4 9 12 27 36 81 108 243 324 729 972 2187 2916 6561
(((((x + 2) + 2) * (2 + 1)) * (2 + 1)) + (if x <= 0 then 2 else 1))
A295491: 38 46 55
((((((x * 2) * (2 + 1)) + 2) * 2) * 2) + (if x <= 0 then 2 else 1))
A063160: 10 33 57 81 105 129 153 177 201 225 249 273 297 321 345 369
(loop(\(x,i).((((((i + 1) * 2) + 1) * x) - 1) * x),x,2) + 1)
A120563: 3 19 2251
((loop(\(x,i).(((((2 + 2) * 2) + x) + 2) * 2),x,x) div 2) + 1)
A195858: 1 12 35 83 183 391 823 1719 3575 7415 15351 31735 65527 135159 278519 573431
loop(\(x,i).((x * 2) + 1),(x - 1),((x div ((x * x) - 2)) + 1))
A283592: 1 0 5 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767
((if x <= 0 then 1 else (((x * 2) * 2) * 2)) * (((x * x) * 2) + 1))
A007900: 1 24 144 456 1056 2040 3504 5544 8256 11736 16080 21384 27744 35256 44016 54120
((((((2 + 2) * 2) * 2) * 2) + loop(\(x,i).(x * x),x,2)) + 1)
A160021: 35 37 49 289 65569 4294967329 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 2) + 1) * i) * i) + x),x,x) * 2) + 1)
A005902: 1 13 55 147 309 561 923 1415 2057 2869 3871 5083 6525 8217 10179 12431
(loop(\(x,i).(((((i + 2) * (i + 1)) div 2) + i) + x),x,2) + 1)
A027965: 3 7 15 28 47 73 107 150 203 267 343 432 535 653 787 938
((if ((x + 1) mod (((x div (2 + 2)) * 2) - 1)) <= 0 then 0 else x) + 1)
A334676: 1 1 1 1 1 1 1 1 1 10 11 1 13 14 1 16
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0) * x) + 1)
A091693: 1 2 23 334 4445 55556 666667 7777778 88888889 1000000000 11111111111 122222222222 1333333333333 14444444444444 155555555555555 1666666666666666
loop(\(x,i).(((x - ((i mod (2 + 1)) mod 2)) * (2 + 1)) + 1),x,1)
A077842: 1 1 4 13 37 112 337 1009 3028 9085 27253 81760 245281 735841 2207524 6622573
(loop(\(x,i).i,(x mod ((((x + 1) div 2) div (2 + 1)) + 1)),x) + 1)
A223490: 1 2 3 4 5 2 7 2 9 2 11 3 13 2 3 16
(loop(\(x,i).((x + 2) + 2),(((x - 2) div (2 + 1)) - 1),x) + 1)
A032977: 1 2 3 4 5 6 7 8 13 14 15 20 21 22 27 28
loop(\(x,i).(x - (((i mod 2) - ((x * 2) * (2 + 1))) - 1)),x,1)
A033117: 1 7 50 350 2451 17157 120100 840700 5884901 41194307 288360150 2018521050 14129647351 98907531457 692352720200 4846469041400
loop(\(x,i).((x * 2) - (x div (((x div 2) * (2 + 1)) - 1))),x,1)
A288135: 1 3 5 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864
loop(\(x,i).((((x * 2) * (2 + 1)) + (x mod (2 + 1))) + 1),x,1)
A037606: 1 8 51 307 1844 11067 66403 398420 2390523 14343139 86058836 516353019 3098118115 18588708692 111532252155 669193512931
((((x div (0 - 2)) mod 2) mod (if (x mod (2 + 1)) <= 0 then 1 else x)) + 1)
A345287: 1 1 2 1 1 2 1 1 1 1 2 1 1 2 2 1
loop(\(x,i).(((((x * 2) * 2) * 2) + (i mod (2 + 1))) + 1),x,1)
A037608: 1 10 83 665 5322 42579 340633 2725066 21800531 174404249 1395233994 11161871955 89294975641 714359805130 5714878441043 45719027528345
loop(\(x,i).(((((2 + 2) + 1) * x) + (i mod (2 + 1))) + 1),x,1)
A037605: 1 7 38 191 957 4788 23941 119707 598538 2992691 14963457 74817288 374086441 1870432207 9352161038 46760805191
loop(\(x,i).((x * 2) - (((2 + 2) mod ((x div 2) + 1)) - 1)),x,1)
A147595: 1 3 7 15 27 51 99 195 387 771 1539 3075 6147 12291 24579 49155
loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) + 1)) + 1),x,1)
A112849: 1 4 11 36 127 463 1717 6436 24311 92379 352717 1352079 5200301 20058301 77558761 300540196
(compr(\x.((loop(\(x,i).((x + 1) * 2),x,1) mod (x + 1)) - 1),x) + 1)
A033946: 1 2 3 5 7 9 11 13 17 19 23 29 31 37 41 43
(compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod (x + 1)) - 1),x) + 1)
A307824-A081730: 1 2 3 4 5 7 8 11 13 15 16 17 19 23 29 31
(compr(\x.(x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) + 1)),x) + 1)
A242418: 1 2 4 6 8 10 14 16 22 26 30 32 34 36 38 46
loop(\(x,i).((((((i * 2) - 1) * x) * 2) * (i + 1)) - 1),x,1)
A100444: 1 3 53 2119 148329 16019531 2467007773 513137616783 138547156531409 47106033220679059 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,(((((2 + 1) * 2) + 1) * x) + 1))
A016995: 1 512 3375 10648 24389 46656 79507 125000 185193 262144 357911 474552 614125 778688 970299 1191016
loop(\(x,i).((x * x) * x),2,(((((2 + 1) * 2) + 1) * x) + 1))
A017001: 1 134217728 38443359375 1207269217792 14507145975869 101559956668416 502592611936843 1953125000000000 6351461955384057 18014398509481984 45848500718449031 106868920913284608 231616946283203125
loop(\(x,i).(((2 + 1) * x) - (((x div (2 + 1)) mod 2) - 1)),x,1)
A033130: 1 4 12 37 112 336 1009 3028 9084 27253 81760 245280 735841 2207524 6622572 19867717
loop(\(x,i).(((((x + 1) * x) - (x mod (2 + 1))) * 2) + 1),x,1)
A309116: 1 3 25 1299
loop(\(x,i).((((x * 2) * 2) - ((i mod (2 + 1)) div 2)) + 1),x,1)
A033131: 1 5 20 81 325 1300 5201 20805 83220 332881 1331525 5326100 21304401 85217605 340870420 1363481681
loop(\(x,i).((((x * 2) * 2) - ((i mod (2 + 1)) mod 2)) + 1),x,1)
A033122: 1 4 17 69 276 1105 4421 17684 70737 282949 1131796 4527185 18108741 72434964 289739857 1158959429
loop(\(x,i).(i - (((x - (((x * 2) * 2) * 2)) * 2) - 1)),x,1)
A014897: 1 16 227 3182 44553 623748 8732479 122254714 1711566005 23961924080 335466937131 4696537119846 65751519677857 920521275490012 12887297856860183 180422169996042578
(1 div (if (2 - ((x * 2) mod (((2 + 2) * 2) + 1))) <= 0 then x else 1))
A179776: 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0
loop(\(x,i).((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)),x,1)
A009989: 1 45 2025 91125 4100625 184528125 8303765625 373669453125 16815125390625 756680642578125 34050628916015625 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (((((x div 2) - (x * 2)) * 2) * 2) - 1)),x,1)
A037579: 1 10 71 500 3501 24510 171571 1201000 8407001 58849010 411943071 2883601500 20185210501 141296473510 989075314571 6923527202000
loop(\(x,i).((x - ((((x div 2) - (x * 2)) * 2) * 2)) - 1),x,1)
A108984: 1 8 55 386 2701 18908 132355 926486 6485401 45397808 317784655 2224492586 15571448101 109000136708 763000956955 5341006698686
loop(\(x,i).(x - (((i mod 2) - (((x * 2) * 2) * 2)) - 1)),x,1)
A033119: 1 9 82 738 6643 59787 538084 4842756 43584805 392263245 3530369206 31773322854 285959905687 2573639151183 23162752360648 208464771245832
loop(\(x,i).(((((i mod 2) + x) + ((x * 2) * 2)) * 2) + 1),x,1)
A037582: 1 13 131 1313 13131 131313 1313131 13131313 131313131 1313131313 13131313131 131313131313 1313131313131 13131313131313 131313131313131 1313131313131313
loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * ((2 + 2) + 1)),x,1)
A109500: 1 0 5 20 105 520 2605 13020 65105 325520 1627605 8138020 40690105 203450520 1017252605 5086263020
loop(\(x,i).((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1)),x,1)
A159991: 1 60 3600 216000 12960000 777600000 46656000000 2799360000000 167961600000000 10077696000000000 604661760000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) * ((2 + 2) + 1)),x,1)
A165800: 1 50 2500 125000 6250000 312500000 15625000000 781250000000 39062500000000 1953125000000000 97656250000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) - 1) * x) * 2) * ((2 + 2) + 1)),x,1)
A221953: 1 10 300 15000 1050000 94500000 10395000000 1351350000000 202702500000000 34459425000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - (2 - ((x + 2) mod ((2 + 2) + 1)))),x,1)
A100455: 1 3 4 7 16 33 64 127 256 513 1024 2047 4096 8193 16384 32767
loop(\(x,i).(x - (((2 - x) - (i div 2)) div ((2 + 2) + 1))),x,1)
A280909: 1 1 1 1 2 3 4 5 7 9 12 15 19 24 30 37
loop(\(x,i).(((x - 1) * x) div 2),1,((((2 + 2) + 1) * x) - 1))
A080857: 1 6 36 91 171 276 406 561 741 946 1176 1431 1711 2016 2346 2701
loop(\(x,i).((((2 mod (x + 1)) + 1) * x) * ((2 + 2) + 1)),x,1)
A091882: 1 5 75 1125 16875 253125 3796875 56953125 854296875 12814453125 192216796875 2883251953125 43248779296875 648731689453125 9730975341796875 145964630126953125
(loop(\(x,i).(((x + 2) + 2) + 2),(x - ((2 + 2) + 1)),x) + 1)
A255261: 1 2 3 4 5 6 13 20 27 34 41 48 55 62 69 76
loop(\(x,i).((((i mod (2 + 1)) div 2) + ((x * 2) * 2)) + 1),x,1)
A037529: 1 5 22 89 357 1430 5721 22885 91542 366169 1464677 5858710 23434841 93739365 374957462 1499829849
loop(\(x,i).((((i mod (2 + 1)) mod 2) + ((x * 2) * 2)) + 1),x,1)
A037537: 1 6 25 101 406 1625 6501 26006 104025 416101 1664406 6657625 26630501 106522006 426088025 1704352101
loop(\(x,i).((((x div 2) mod 2) + x) + (((x * 2) * 2) + 1)),x,1)
A037530: 1 6 32 161 806 4032 20161 100806 504032 2520161 12600806 63004032 315020161 1575100806 7875504032 39377520161
loop(\(x,i).((((i div (2 + 1)) + i) + ((x * 2) * 2)) + 1),x,1)
A141844: 1 6 27 113 458 1839 7365 29470 117891 471577 1886322 7545303 30181229 120724934 482899755 1931599041
(loop(\(x,i).(((x + 2) + 2) + 1),(((x div 2) - 2) - 1),x) + 1)
A208530: 1 2 3 4 5 6 7 8 14 15 21 22 28 29 35 36
loop(\(x,i).((((x * 2) * (2 + 1)) + ((x div 2) mod 2)) + 1),x,1)
A037531: 1 7 44 265 1591 9548 57289 343735 2062412 12374473 74246839 445481036 2672886217 16037317303 96223903820 577343422921
loop(\(x,i).(((2 + 1) * x) - (x mod (((x mod 2) - 2) - 1))),x,1)
A037528: 1 4 14 43 130 392 1177 3532 10598 31795 95386 286160 858481 2575444 7726334 23179003
loop(\(x,i).(((i * x) * (2 + 1)) - (((x mod 2) * 2) - 1)),x,1)
A000180: 1 2 13 116 1393 20894 376093 7897952 189550849 5117872922 153536187661 5066694192812 182400990941233 7113638646708086 298772823161739613 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) * (2 + 1)),x,1)
A221955: 1 12 432 25920 2177280 235146240 31039303680 4842131374080 871583647334400 177803064056217600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) * x) * ((i * 2) - 1)) * (2 + 1)),x,1)
A092799: 1 3 243 215233605 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) + ((x + 1) mod (2 + 1))),x,1)
A037507: 1 8 48 289 1736 10416 62497 374984 2249904 13499425 80996552 485979312 2915875873 17495255240 104971531440 629829188641
loop(\(x,i).(((x * 2) * (2 + 1)) + ((x - 1) mod (2 + 1))),x,1)
A037499: 1 6 38 229 1374 8246 49477 296862 1781174 10687045 64122270 384733622 2308401733 13850410398 83102462390 498614774341
loop(\(x,i).((((x * 2) * 2) * 2) + ((i + 1) mod (2 + 1))),x,1)
A037509: 1 10 80 641 5130 41040 328321 2626570 21012560 168100481 1344803850 10758430800 86067446401 688539571210 5508316569680 44066532557441
loop(\(x,i).((((2 + 2) + 1) * x) + ((i + 1) mod (2 + 1))),x,1)
A037506: 1 7 35 176 882 4410 22051 110257 551285 2756426 13782132 68910660 344553301 1722766507 8613832535 43069162676
loop(\(x,i).(((x - (((i mod 2) * 2) - 1)) * 2) * (2 + 1)),x,1)
A109501: 1 0 6 30 186 1110 6666 39990 239946 1439670 8638026 51828150 310968906 1865813430 11194880586 67169283510
loop(\(x,i).((i + x) - ((i - 1) mod ((2 + 2) * (2 + 1)))),x,1)
A032948: 1 2 3 4 5 6 7 8 9 10 11 12 13 26 39 52
(loop(\(x,i).((((i + 2) + 2) * x) + (2 + 2)),(2 + 1),x) - 1)
A033168: 199 409 619 829 1039 1249 1459 1669 1879 2089
loop(\(x,i).((i + 1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A014881: 1 13 146 1610 17715 194871 2143588 23579476 259374245 2853116705 31384283766 345227121438 3797498335831 41772481694155 459497298635720 5054470284992936
loop(\(x,i).(((((x div 2) + x) + (x * 2)) * 2) * (2 + 1)),x,1)
A285400: 1 18 378 7938 166698 3500658 73513818 1543790178 32419593738 680811468498 14297040838458 300237857607618 6304995009759978 132404895204959538 2780502799304150298 4611686018427387903
loop(\(x,i).(x - ((x div 2) - (((x mod 2) * 2) * (2 + 1)))),x,1)
A070405: 1 7 10 5 9 11 12 6 3 8 4 2 1 7 10 5
loop(\(x,i).(((i + x) mod (2 + 1)) + ((x * 2) * (2 + 1))),x,1)
A037539: 1 8 49 295 1772 10633 63799 382796 2296777 13780663 82683980 496103881 2976623287 17859739724 107158438345 642950630071
loop(\(x,i).(((x - i) mod (2 + 1)) + ((x * 2) * (2 + 1))),x,1)
A033124: 1 6 37 223 1338 8029 48175 289050 1734301 10405807 62434842 374609053 2247654319 13485925914 80915555485 485493332911
loop(\(x,i).(((x div (0 - 2)) mod 2) + ((x * 2) * (2 + 1))),x,1)
A033133: 1 7 42 253 1519 9114 54685 328111 1968666 11811997 70871983 425231898 2551391389 15308348335 91850090010 551100540061
loop(\(x,i).((((x - 1) div 2) mod 2) + ((x * 2) * (2 + 1))),x,1)
A033142: 1 6 36 217 1302 7812 46873 281238 1687428 10124569 60747414 364484484 2186906905 13121441430 78728648580 472371891481
loop(\(x,i).(((i + 1) mod (2 + 2)) + ((x * 2) * (2 + 1))),x,1)
A037697: 1 8 51 306 1837 11024 66147 396882 2381293 14287760 85726563 514359378 3086156269 18516937616 111101625699 666609754194
loop(\(x,i).(((1 - x) mod (2 + 2)) + ((x * 2) * (2 + 1))),x,1)
A037683: 1 6 39 236 1417 8502 51015 306092 1836553 11019318 66115911 396695468 2380172809 14281036854 85686221127 514117326764
loop(\(x,i).((2 - ((x div 2) mod 2)) + ((x * 2) * (2 + 1))),x,1)
A037547: 1 8 50 301 1808 10850 65101 390608 2343650 14061901 84371408 506228450 3037370701 18224224208 109345345250 656072071501
loop(\(x,i).(x - ((0 - (((x div 2) + i) div 2)) div (2 + 1))),x,1)
A029001: 1 1 2 3 4 5 7 9 11 14 17 20 24 28 33 38
(loop(\(x,i).(x div ((x mod 2) + 1)),(x + 1),((2 + 1) * x)) + 1)
A067745: 1 1 7 5 13 1 19 11 25 7 31 17 37 5 43 23
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) div (((2 + 1) * x) + 1))
A191628: 3 2 3 8 18 45 115 298 787 2108 5714 15630 43089 119574 333695 935798
(loop(\(x,i).(((i * i) * x) + 2),x,1) div (((2 + 1) * x) + 1))
A326222: 1 0 2 12 157
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 1) * x) + 1))
A016781: 1 1024 16807 100000 371293 1048576 2476099 5153632 9765625 17210368 28629151 45435424 69343957 102400000 147008443 205962976
loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)),x,1)
A009983: 1 39 1521 59319 2313441 90224199 3518743761 137231006679 5352009260481 208728361158759 8140406085191601 317475837322472439 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 2) <= 0 then x else (2 - ((1 - x) div (2 + 1)))) + x) + 1)
A186350: 1 3 5 7 8 10 11 12 14 15 16 18 19 20 22 23
loop(\(x,i).((((x * 2) * 2) * 2) + ((1 - x) mod (2 + 1))),x,1)
A037501: 1 8 66 529 4232 33858 270865 2166920 17335362 138682897 1109463176 8875705410 71005643281 568045146248 4544361169986 36354889359889
loop(\(x,i).((((2 + 2) + 1) * x) + ((1 - x) mod (2 + 1))),x,1)
A037498: 1 5 27 136 680 3402 17011 85055 425277 2126386 10631930 53159652 265798261 1328991305 6644956527 33224782636
loop(\(x,i).(((((i * x) * 2) div (i + 1)) + x) * (2 + 1)),x,1)
A034171: 1 6 42 315 2457 19656 160056 1320462 11003850 92432340 781473420 6642524070 56716936290 486145168200 4180848446520 36059817851235
loop(\(x,i).(x - (((2 - ((2 + 1) * i)) * x) * (2 + 1))),x,1)
A144829: 1 4 52 1144 35464 1418560 69509440 4031547520 270113683840 20528639971840 1744934397606400 164023833375001600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((2 + 2) div ((x + 2) div loop(\(x,i).((i div (x + 2)) + 1),x,1)))
A136673: 2 1 1 2 1 1 1 1 1 0 1 1 1 0 0 1
((loop(\(x,i).((((x * x) * x) + 2) * x),(x - 2),1) + x) - 1)
A192225: 0 1 2 5
A215797: 0 1 2 5 90
loop(\(x,i).((((((i + 1) * 2) + 1) * i) * (x * 2)) + 1),x,1)
A100445: 1 11 309 16687 1468457 190899411 34361893981 8178130767479 2486151753313617 939765362752547227 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x mod 2) * x) + 2) * x) + (x div 2)) + 1),x,1)
A089920: 1 4 11 149
(((if (x - ((2 + 2) * (2 + 1))) <= 0 then (x mod 2) else 1) * x) + 1)
A327529-A327512: 1 2 1 4 1 6 1 8 1 10 1 12 1 14 15 16
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (x mod 2)) + 1),x,1)
A037487: 1 12 121 1212 12121 121212 1212121 12121212 121212121 1212121212 12121212121 121212121212 1212121212121 12121212121212 121212121212121 1212121212121212
loop(\(x,i).((((x * 2) * 2) - (((i - 1) * i) div 2)) + 1),x,1)
A028814: 1 5 20 78 307 1219 4862 19428 77685 310705 1242776 4971050 19884135 79536463 318145762 1272582944
loop(\(x,i).((((i + 2) * x) * (i + 1)) * ((i + 2) + 1)),x,1)
A010797: 1 24 1440 172800 36288000 12192768000 6145155072000 4424511651840000 4380266535321600000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) div (i + 1)) * ((i * 2) + 1)),x,1)
A069720: 1 6 40 280 2016 14784 109824 823680 6223360 47297536 361181184 2769055744 21300428800 164317593600 1270722723840 9848101109760
loop(\(x,i).((((i * x) * (i + 1)) div 2) * ((i * 2) - 1)),x,1)
A202689: 1 1 9 270 18900 2551500 589396500 214540326000 115851776040000 88626608670600000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - ((i * x) * 2)) * 2) * ((i * 2) - 1)),x,1)
A126934: 1 ~2 36 ~1800 176400 ~28576800 6915585600 ~2337467932800 1051860569760000 ~607975409321280000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) * 2) - 1) * x) * ((i * 2) - 1)),x,1)
A159605: 1 3 63 3465 363825 62214075 15740160975 5524796502225 2569030373534625 1528573072253101875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (i div 2)) + 1),x,1)
A104720: 1 11 112 1122 11223 112233 1122334 11223344 112233445 1122334455 11223344556 112233445566 1122334455667 11223344556677 112233445566778 1122334455667788
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + (i mod 2)) + 1),x,1)
A037486: 1 11 100 902 8119 73073 657658 5918924 53270317 479432855 4314895696 38834061266 349506551395 3145558962557 28310030663014 254790275967128
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((i mod 2) + 1)),x,1)
A037484: 1 9 64 450 3151 22059 154414 1080900 7566301 52964109 370748764 2595241350 18166689451 127166826159 890167783114 6231174481800
loop(\(x,i).((((((x mod 2) + x) * 2) * (i - 1)) + x) + 1),x,1)
A277565: 1 2 7 40 281 2538
loop(\(x,i).(((x div ((((x mod 2) + 2) * 2) * 2)) + x) + 1),x,1)
A060471-A033060-A003045: 1 2 3 4 5 6 7 8 10 12 14 16 19 21 23 25
loop(\(x,i).(((((x div (i + 2)) + x) div (2 + 2)) + x) + 1),x,1)
A100673: 1 2 3 4 6 8 11 15 20 26 34 44 56 71 90 114
loop(\(x,i).((((((x * 2) * 2) + (x mod 2)) * 2) + x) + 1),x,1)
A037581: 1 12 109 984 8857 79716 717445 6457008 58113073 523017660 4707158941 42364430472 381279874249 3431518868244 30883669814197 277953028327776
(((if (x - 1) <= 0 then x else ((((x mod 2) + 2) * x) + 1)) + x) + 1)
A106386: 1 3 8 14 14
loop(\(x,i).(((((x div ((2 + 2) + 1)) + i) div 2) + x) + 1),x,1)
A231408: 1 2 4 6 9
A114830: 1 2 4 6 9 13 18 24 31 39 48 59 71 85 101 119
(compr(\x.(loop(\(x,i).((i * x) * 2),(2 + 2),1) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018425: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384
(loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),(x + 1),x) + 1)
A075858: 11 211 3111 41111 511111 6111111 71111111 811111111 9111111111 101111111111 1111111111111 12111111111111 131111111111111 1411111111111111 15111111111111111 161111111111111111
(compr(\x.(loop(\(x,i).((i + 2) * x),(2 + 2),1) mod (x + 1)),x) + 1)
A018412: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36
(compr(\x.(loop(\(x,i).((x * x) * 2),2,(2 + 1)) mod (x + 1)),x) + 1)
A018570: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108
(compr(\x.(loop(\(x,i).((i + x) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A018314: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168
(compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1)
A231407: 1 4 6
A174891-A140209-A077091-A018252: 1 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25
(compr(\x.(loop(\(x,i).(((i + 1) div 2) * x),x,1) mod (x + 1)),x) + 1)
A056653: 1 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26
(compr(\x.(loop(\(x,i).(x * x),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A018452: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72
(compr(\x.(loop(\(x,i).((x + 1) * x),(2 + 1),2) mod (x + 1)),x) + 1)
A018258: 1 2 3 6 7 14 21 42
A191614: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806
(compr(\x.(loop(\(x,i).((x * 2) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018387: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312
(((loop(\(x,i).(((x * x) * x) + 1),2,2) + (x + 1)) * x) + 1)
A180919: 1 733 1467 2203 2941 3681 4423 5167 5913 6661 7411 8163 8917 9673 10431 11191
(compr(\x.((loop(\(x,i).(x * x),(2 + 2),2) + 2) mod (x + 1)),x) + 1)
A018331: 1 2 3 6 9 11 18 22 33 66 99 198
(compr(\x.(loop(\(x,i).((i + 1) * x),(2 + 2),2) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A018350: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48
(compr(\x.(loop(\(x,i).((i + 2) * x),(2 + 2),2) mod (x + 1)),x) + 1)
A018609: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30
(compr(\x.(loop(\(x,i).(((x + 2) * x) * 2),2,2) mod (x + 1)),x) + 1)
A344472-A018528: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72
(compr(\x.(loop(\(x,i).((i + x) * (x * 2)),2,2) mod (x + 1)),x) + 1)
A018399: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56
(compr(\x.((loop(\(x,i).((x * x) * x),2,2) - 2) mod (x + 1)),x) + 1)
A018494: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510
(compr(\x.(loop(\(x,i).((x + 1) * x),2,(2 + 2)) mod (x + 1)),x) + 1)
A018444: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35
(compr(\x.(loop(\(x,i).((x + 2) * x),2,(2 + 2)) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018556: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104
(compr(\x.(loop(\(x,i).((i + x) * x),2,(2 + 2)) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018457: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440
(compr(\x.(loop(\(x,i).((x - i) * x),2,(2 + 2)) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A018293: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120
loop(\(x,i).((x * 2) * (2 + 1)),(((2 + 2) * (x + 1)) + x),1)
A013841: 1296 10077696 78364164096 609359740010496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),(((2 + 2) * (x + 1)) + x),1)
A013849: 4096 134217728 4398046511104 144115188075855872 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013837: 625 1953125 6103515625 19073486328125 59604644775390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).(((x * 2) + 1) * x),2,2) mod (x + 1)),x) + 1)
A030050: 1 2 3 5 6 7 10 14 15
A194359-A018336: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210
(compr(\x.(1 - (loop(\(x,i).((x + 2) * x),2,2) mod (x + 1))),x) + 1)
A085837-A005767: 3 6 7 9 11 12 13 14 15 17 18 19 21 22 23 24
(compr(\x.(loop(\(x,i).(((i + x) * x) * x),2,2) mod (x + 1)),x) + 1)
A177500: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32
(compr(\x.(loop(\(x,i).(((x * x) + i) * x),2,2) mod (x + 1)),x) + 1)
A018779: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68
loop(\(x,i).((((x * 2) * 2) * (2 + 1)) + (2 div (x + 1))),x,1)
A170732-A170694-A170646-A170598-A170550-A170502-A170454-A170406-A170358-A170310-A170262-A170214-A170166-A170118-A170070-A170022-A169554-A169506-A169458-A169410-A169362-A169314-A169266-A169218-A169170-A169122-A169074-A169026-A168978-A168930-A168882-A168834-A168786-A168738-A168690-A167919: 1 13 156 1872 22464 269568 3234816 38817792 465813504 5589762048 67077144576 804925734912 9659108818944 115909305827328 1390911669927936 16690940039135232
loop(\(x,i).((((x * 2) * 2) * (2 + 1)) - (2 div (x + 1))),x,1)
A196731: 1 11 132 1584 19008 228096 2737152 32845824 394149888 4729798656 56757583872 681091006464 8173092077568 98077104930816 1176925259169792 14123103110037504
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) + (2 div (x + 1))),x,1)
A170736-A170698-A170650-A170602-A170554-A170506-A170458-A170410-A170362-A170314-A170266-A170218-A170170-A170122-A170074-A170026-A169558-A169510-A169462-A169414-A169366-A169318-A169270-A169222-A169174-A169126-A169078-A169030-A168982-A168934-A168886-A168838-A168790-A168742-A168694-A167926: 1 17 272 4352 69632 1114112 17825792 285212672 4563402752 73014444032 1168231104512 18691697672192 299067162755072 4785074604081152 76561193665298432 1224979098644774912
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (2 div (x + 1))),x,1)
A170692-A170644-A170596-A170548-A170500-A170452-A170404-A170356-A170308-A170260-A170212-A170164-A170116-A170068-A170020-A169552-A169504-A169456-A169408-A169360-A169312-A169264-A169216-A169168-A169120-A169072-A169024-A168976-A168928-A168880-A168832-A168784-A168736-A168688-A167914-A003953: 1 11 110 1100 11000 110000 1100000 11000000 110000000 1100000000 11000000000 110000000000 1100000000000 11000000000000 110000000000000 1100000000000000
(loop(\(x,i).((((x + 2) * 2) * 2) + x),2,((x + 1) * x)) - 1)
A281437: 47 97 197 347 547 797 1097 1447 1847 2297 2797 3347 3947 4597 5297 6047
(((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + x) + 1)
A086799: 1 3 3 7 5 7 7 15 9 11 11 15 13 15 15 31
loop(\(x,i).((((((2 + 2) + 1) * i) + 2) * i) + (x + 1)),x,1)
A100179: 1 9 34 86 175 311 504 764 1101 1525 2046 2674 3419 4291 5300 6456
((loop(\(x,i).(((x - 1) * x) - 1),(x - 2),(x - 1)) * x) + 1)
A111799: 1 1 3 4 77
loop(\(x,i).(((((((i * 2) - 1) * i) + 1) * i) + x) + 1),x,1)
A100185: 1 4 19 68 185 416 819 1464 2433 3820 5731 8284 11609 15848 21155 27696
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) + (i + x)) + 1),x,1)
A014896: 1 15 198 2578 33519 435753 5664796 73642356 957350637 12445558291 161792257794 2103299351334 27342891567355 355457590375629 4620948674883192 60072332773481512
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) + (i + x)) + 1),x,1)
A014900: 1 19 326 5546 94287 1602885 27249052 463233892 7874976173 133874594951 2275868114178 38689757941038 657725884997659 11181340044960217 190082780764323704 3231407272993502984
loop(\(x,i).(x - ((((2 + 2) + 1) * x) div ((0 - i) - 1))),x,1)
A215052: 1 4 11 25 50 92 158 257 400 600 873 1237 1713 2325 3100 4069
loop(\(x,i).(((((x * 2) * 2) * ((2 + 2) + 1)) + i) + 1),x,1)
A014904: 1 22 443 8864 177285 3545706 70914127 1418282548 28365650969 567313019390 11346260387811 226925207756232 4538504155124653 90770083102493074 1815401662049861495 4611686018427387903
loop(\(x,i).(((((2 + 1) * x) * ((2 + 2) + 1)) + i) + 1),x,1)
A014898: 1 17 258 3874 58115 871731 13075972 196139588 2942093829 44131407445 661971111686 9929566675302 148943500129543 2234152501943159 33512287529147400 502684312937211016
loop(\(x,i).(((((x * 2) * (2 + 1)) * (2 + 1)) + i) + 1),x,1)
A014901: 1 20 363 6538 117689 2118408 38131351 686364326 12354557877 222382041796 4002876752339 72051781542114 1296932067758065 23344777219645184 420205989953613327 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) * (2 + 1)) + i) + 1),x,1)
A014913: 1 26 627 15052 361253 8670078 208081879 4993965104 119855162505 2876523900130 69036573603131 1656877766475156 39765066395403757 954361593489690182 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),x,1)
A151374: 1 2 8 40 224 1344 8448 54912 366080 2489344 17199104 120393728 852017152 6085836800 43818024960 317680680960
loop(\(x,i).((((x * x) * 2) * ((i * 2) - 1)) div (i + 1)),x,1)
A003047: 1 1 2 10 280 235200 173859840000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 1) * x) * ((i div 2) + 1)) * (i + 1)),x,1)
A203264: 1 4 72 2304 172800 18662400 3657830400 936404582400 379243855872000 189621927936000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 1) * x) - (((i + x) - 1) div (i + 1))),x,1)
A052169: 1 2 5 19 91 531 3641 28673 254871 2523223 27526069 328018989 4239014627 59043418019 881715042417 14052333488521
loop(\(x,i).(x - ((x - (((x * 2) * 2) * 2)) div (i + 1))),x,1)
A215053: 1 5 17 47 113 245 490 919 1634 2778 4546 7198 11074 16611 24363 35022
loop(\(x,i).(((((i + 2) + 2) * x) * (2 + 2)) div (i + 1)),x,1)
A036070: 1 10 80 560 3584 21504 122880 675840 3604480 18743296 95420416 477102080 2348810240 11408506880 54760833024 260113956864
loop(\(x,i).((((((i * 2) * 2) - 1) * x) * 2) div (i + 1)),x,1)
A048779: 1 3 14 77 462 2926 19228 129789 894102 6258714 44379972 318056466 2299792908 16755634044 122874649656 906200541213
loop(\(x,i).((((i - (x - 1)) * (2 + 2)) * x) div (i + 1)),x,1)
A140357: 1 2 2 4 3 6 3 7 6 9 6 12 3 9 14 7
loop(\(x,i).((((((i * i) * i) + 1) * i) * x) * (i + 1)),x,1)
A055627: 1 4 216 72576
loop(\(x,i).(((2 + 1) * x) mod ((((2 + 1) * 2) + 1) * 2)),x,1)
A070353: 1 3 9 13 11 5 1 3 9 13 11 5 1 3 9 13
loop(\(x,i).((x - (1 div (((i mod (2 + 2)) * 2) - 1))) * 2),x,1)
A139800: 1 0 0 0 2 2 4 8 18 34 68 136 274 546 1092 2184
(if (((x - 2) div (((x - 1) mod (2 + 2)) + 1)) mod 2) <= 0 then x else 1)
A225650: 1 1 2 3 4 1 6 1 1 1 10 1 12 1 14 15
loop(\(x,i).((x - ((i mod ((2 - (i mod 2)) * 2)) - 1)) * 2),x,1)
A100088: 1 2 2 4 10 20 38 76 154 308 614 1228 2458 4916 9830 19660
(loop(\(x,i).((x + 2) + 1),(((x - 1) div (2 + 1)) - 2),x) + 1)
A134933: 1 2 3 4 5 6 7 8 9 10 14 15 16 20 21 22
loop(\(x,i).((x - (((x mod 2) - (x * 2)) * (2 + 1))) * 2),x,1)
A067414: 1 8 112 1568 21952 307328 4302592 60236288 843308032 11806312448 165288374272 2314037239808 32396521357312 453551299002368 6349718186033152 88896054604464128
loop(\(x,i).((x - ((x div 2) - ((x * 2) * (2 + 1)))) * 2),x,1)
A170733-A170695-A170647-A170599-A170551-A170503-A170455-A170407-A170359-A170311-A170263-A170215-A170167-A170119-A170071-A170023-A169555-A169507-A169459-A169411-A169363-A169315-A169267-A169219-A169171-A169123-A169075-A169027-A168979-A168931-A168883-A168835-A168787-A168739-A168691-A167922: 1 14 182 2366 30758 399854 5198102 67575326 878479238 11420230094 148462991222 1930018885886 25090245516518 326173191714734 4240251492291542 55123269399790046
(loop(\(x,i).(((x + 2) + 2) + 1),((x div (2 + 1)) - 2),x) + 1)
A032978: 1 2 3 4 5 6 7 8 9 15 16 17 23 24 25 31
(loop(\(x,i).(((((2 - x) div (2 + 2)) - x) div 2) - 1),2,x) + 1)
A255072: 0 1 1 2 2 2 3 4 4 4 4 5 5 5 6 7
(compr(\x.((loop(\(x,i).(1 - (x * 2)),x,0) mod (x + 1)) - 2),x) + 1)
A193622: 1 2 3 5 7 10
A325460: 1 2 3 5 7 10 11 13 14 17 19 22 23 26 29 31
(2 - loop(\(x,i).((x * 2) - (((2 + 2) mod (x + 1)) + 2)),x,1))
A222011: 1 2 4 8
A026474: 1 2 4 8 15 22 29 36 43 50 57 64 71 78 85 92
(compr(\x.((loop(\(x,i).((0 - x) * 2),x,2) mod (x + 1)) - 2),x) + 1)
A067133: 1 2 3 4 5 6 7 8 11 13 16 17 19 23 29 31
loop(\(x,i).(((x div (2 + 1)) * (i + 1)) + ((x + 1) * 2)),x,1)
A045652: 1 4 13 44 160
((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 1) * 2)) + x) + 1)
A135400: 1 17 108 382 995 2151 4102 7148 11637 17965 26576 37962 52663 71267 94410 122776
(loop(\(x,i).(x - (x div ((((2 + 2) + 1) * i) + 1))),2,x) + 1)
A269169: 1 2 3 4 5 6 6 7 8 9 10 11 11 11 12 13
loop(\(x,i).((x - ((x mod ((2 + 2) * 2)) div (i + 1))) * 2),x,1)
A164143: 1 2 4 6 10 20 40 80 160 320 640 1280 2560 5120 10240 20480
loop(\(x,i).(((((x * 2) * 2) * 2) - (x div (0 - 2))) * 2),x,1)
A170737-A170699-A170651-A170603-A170555-A170507-A170459-A170411-A170363-A170315-A170267-A170219-A170171-A170123-A170075-A170027-A169559-A169511-A169463-A169415-A169367-A169319-A169271-A169223-A169175-A169127-A169079-A169031-A168983-A168935-A168887-A168839-A168791-A168743-A168695-A167927: 1 18 306 5202 88434 1503378 25557426 434476242 7386096114 125563633938 2134581776946 36287890208082 616894133537394 10487200270135698 178282404592306866 3030800878069216722
(((x div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2)) + x) + 1)
A188292: 1 2 3 5 6 7 9 10 11 13 14 15 16 17 18 19
(if (x - (((x div ((x mod (2 + 2)) + 1)) + 2) * 2)) <= 0 then x else 1)
A160377: 0 1 2 3 4 5 6 1 8 9 10 1 12 13 1 1
loop(\(x,i).(i * x),((((((x * 2) * 2) + 1) * 2) * 2) - x),1)
A072244: 24 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x - (((i mod 2) * 2) - 1)) * 2) * 2) * 2),x,1)
A093134: 1 0 8 56 456 3640 29128 233016 1864136 14913080 119304648 954437176 7635497416 61083979320 488671834568 3909374676536
loop(\(x,i).(x - (((x div ((x mod (0 - 2)) - 2)) div 2) div 2)),x,1)
A242367: 1 2 3 4 5 6 7 8 9 10 12 14 16 18 21 23
loop(\(x,i).i,(((x - ((((2 + 2) * 2) * 2) * 2)) div 2) + x),1)
A036606: 1 1 1 1 1 1 1 1 1 1 1 1 2 3 5 6
loop(\(x,i).(((2 + 1) * x) mod ((((2 + 2) * 2) * 2) * 2)),x,1)
A070358: 1 3 9 27 17 19 25 11 1 3 9 27 17 19 25 11
loop(\(x,i).(x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)),x,1)
A009973: 1 29 841 24389 707281 20511149 594823321 17249876309 500246412961 14507145975869 420707233300201 12200509765705829 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,(x - (((2 + 2) * 2) * 2))) + x) + 1)
A260679: 257 227 199 173 149 127 107 89 73 59 47 37 29 23 19 17
loop(\(x,i).((x - ((((x mod 2) - (x * 2)) * 2) * 2)) * 2),x,1)
A067416: 1 10 180 3240 58320 1049760 18895680 340122240 6122200320 110199605760 1983592903680 35704672266240 642684100792320 11568313814261760 208229648656711680 3748133675820810240
((if (x mod 2) <= 0 then (((x + 2) * x) div ((2 + 2) * 2)) else x) + 1)
A106247: 1 2 2 4 4 6 7 8 11 10 16 12 22 14 29 16
((((loop(\(x,i).(((i + x) + 1) * 2),x,2) * 2) * 2) - x) - 1)
A339196: 7 30 85 204 451 954 1969 4008 8095 16278 32653 65412 130939 262002 524137 1048416
loop(\(x,i).(((x + 1) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,1)
A037699: 1 10 83 664 5313 42506 340051 2720408 21763265 174106122 1392848979 11142791832 89142334657 713138677258 5705109418067 45640875344536
loop(\(x,i).(((x - 1) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,1)
A037685: 1 8 67 538 4305 34440 275523 2204186 17633489 141067912 1128543299 9028346394 72226771153 577814169224 4622513353795 36980106830362
(loop(\(x,i).(((2 + 2) * 2) + x),(((x div 2) - 2) - 2),x) + 1)
A343131: 1 2 3 4 5 6 7 8 9 10 19 20 29 30 39 40
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else (2 + 2)) + x) + 1)
A342478: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 20
(((x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2))) + x) + 1)
A346288-A138389-A033065-A032963: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 17 19
loop(\(x,i).((((2 + 2) + 1) * x) + ((i + 1) mod (2 + 2))),x,1)
A037696: 1 7 38 190 951 4757 23788 118940 594701 2973507 14867538 74337690 371688451 1858442257 9292211288 46461056440
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * (2 + 2)),x,1)
A009988: 1 44 1936 85184 3748096 164916224 7256313856 319277809664 14048223625216 618121839509504 27197360938418176 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) + 1) * x) * (2 + 2)),x,1)
A185097: 1 36 41616 55420693056 4611686018427387903 4611686018427387903
(((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) + x) + 1)
A342256: 2 3 4 5 6 7 8 9 10 11 13 14 16 17 18 19
(compr(\x.(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod (2 + 2)),x) + 1)
A091072: 1 2 4 5 8 9 10 13 16 17 18 20 21 25 26 29
loop(\(x,i).((((2 + 2) + 1) * x) + ((1 - i) mod (2 + 2))),x,1)
A037682: 1 5 28 142 711 3555 17778 88892 444461 2222305 11111528 55557642 277788211 1388941055 6944705278 34723526392
(((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x - 2) else 2) + x) - 1)
A222261: 1 2 3 4 5 6 7 8 9 15 11 12 13 14 25 16
loop(\(x,i).(((1 - x) mod ((2 + 2) + 1)) + ((x * 2) * 2)),x,1)
A037674: 1 4 18 75 301 1204 4818 19275 77101 308404 1233618 4934475 19737901 78951604 315806418 1263225675
loop(\(x,i).((((i + 2) * (i + 1)) div 2) + ((x * 2) * 2)),x,1)
A052161: 1 7 34 146 599 2417 9696 38820 155325 621355 2485486 9942022 39768179 159072821 636291404 2545165752
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) - (x div 2)) * 2),x,1)
A170743-A170705-A170657-A170609-A170561-A170513-A170465-A170417-A170369-A170321-A170273-A170225-A170177-A170129-A170081-A170033-A169565-A169517-A169469-A169421-A169373-A169325-A169277-A169229-A169181-A169133-A169085-A169037-A168989-A168941-A168893-A168845-A168797-A168749-A168701-A167938-A167695-A167183: 1 24 552 12696 292008 6716184 154472232 3552861336 81715810728 1879463646744 43227663875112 994236269127576 22867434189934248 525950986368487704 4611686018427387903 4611686018427387903
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + x) + 1)
A188033-A187485: 1 2 4 5 6 7 9 10 12 13 14 15 17 18 19 20
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) - (x div 2)) * 2),x,1)
A170751-A170713-A170665-A170617-A170569-A170521-A170473-A170425-A170377-A170329-A170281-A170233-A170185-A170137-A170089-A170041-A169573-A169525-A169477-A169429-A169381-A169333-A169285-A169237-A169189-A169141-A169093-A169045-A168997-A168949-A168901-A168853-A168805-A168757-A168709-A167947-A167757-A167382-A167085-A063818: 1 32 992 30752 953312 29552672 916132832 28400117792 880403651552 27292513198112 846067909141472 26228105183385632 813071260684954592 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - (x div 2)) * 2),x,1)
A170739-A170701-A170653-A170605-A170557-A170509-A170461-A170413-A170365-A170317-A170269-A170221-A170173-A170125-A170077-A170029-A169561-A169513-A169465-A169417-A169369-A169321-A169273-A169225-A169177-A169129-A169081-A169033-A168985-A168937-A168889-A168841-A168793-A168745-A168697-A167931-A167680: 1 20 380 7220 137180 2606420 49521980 940917620 17877434780 339671260820 6453753955580 122621325156020 2329805177964380 44266298381323220 841059669245141180 4611686018427387903
((if ((x + 1) mod ((2 + 1) * 2)) <= 0 then ((x div 2) mod 2) else x) + 1)
A244414: 1 2 3 4 5 1 7 8 9 10 11 2 13 14 15 16
(((loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) * 2) + x) + 1)
A004757: 5 10 11 20 21 22 23 40 41 42 43 44 45 46 47 80
(if (x - 2) <= 0 then x else ((((((x * x) * x) + 2) * 2) * x) - 1))
A339641: 0 1 2 173
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2),x,1)
A003645: 1 4 20 112 672 4224 27456 183040 1244672 8599552 60196864 426008576 3042918400 21909012480 158840340480 1158600130560
((((x mod 2) + 2) * 2) - loop(\(x,i).((x - (i mod 2)) * 2),x,1))
A154890: 3 6 4 8 8 16 24 48 88 176 344 688 1368 2736 5464 10928
((loop(\(x,i).((x * x) * x),(x + 1),2) div 2) div ((2 - x) + 1))
A121702: 1 128 67108864 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * 2),x,1)
A009990: 1 46 2116 97336 4477456 205962976 9474296896 435817657216 20047612231936 922190162669056 42420747482776576 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x - (x div (2 + 1))) div (2 + 1)) + x),2,x) + 1)
A022162: 1 2 3 4 7 8 9 11 13 14 15 17 18 20 22 23
loop(\(x,i).(x * 2),(((((x div 2) div (2 + 1)) + x) div 2) + x),1)
A098232: 1 2 8 16 64 128 512 2048 4096 16384 32768 131072 524288 1048576 4194304 8388608
loop(\(x,i).((x * 2) - ((((x div 2) div (2 + 1)) - x) div 2)),x,1)
A126876: 1 3 8 20 49 119 288
loop(\(x,i).((((((2 + 2) + 1) * i) + (2 + 1)) * x) * 2),x,1)
A035275: 1 16 416 14976 688896 38578176 2546159616 193508130816 16641699250176 1597603128016896 169345931569790976 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x + 2) * 2),x,((x - 1) * x)) * 2) - x) + 1)
A055581: 1 8 39 150 501 1524 4339 11762 30705 77808 192495 466926 1114093 2621420 6094827 14024682
(((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) + x) + 1)
A225647: 1 3 4 6 7
A140098-A109231-A064717: 1 3 4 6 7 9 10 12 13 15 16 18 20 21 23 24
((((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 2 else x) div 2) + x) - 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A173899: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 20 21
(((if (x - 2) <= 0 then x else ((((x div 2) mod 2) + x) div 2)) + x) + 1)
A093511: 1 3 5 6 7 8 10 12 13 14 16 18 19 20 22 24
loop(\(x,i).((i + x) - (((x div (2 + 1)) * (2 - x)) div 2)),x,1)
A222011: 1 2 4 8
A007881: 1 2 4 8 18 71
loop(\(x,i).(((((x div (2 + 2)) + x) div (i + 2)) + x) + 2),x,1)
A097911: 1 3 5 8
A060432: 1 3 5 8 11 14 18 22 26 30 35 40 45 50 55 61
loop(\(x,i).(((((((2 + 2) + 1) * i) * i) div 2) + x) + 2),x,1)
A007904: 1 5 17 41 83 147 239 363 525 729 981 1285 1647 2071 2563 3127
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else (x + 2)) * x) + 1)
A044917-A043320: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 256
(loop(\(x,i).(x * 2),x,((((x + 2) + 2) * (x + 2)) + x)) - 1)
A107392: 7 31 103 303 831 2175 5503 13567 32767 77823 182271 421887 966655 2195455 4947967 11075583
((loop(\(x,i).((x - i) * x),2,(x - 1)) + ((x + 2) * x)) + 1)
A027382: 1 4 9 16 49 156 409 904 1761 3124 5161 8064 12049 17356 24249 33016
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else (((x + 2) * x) + 1))
A106545: 0 4 9 16 25 36 49 64 81 100 0 144 169 196 225 256
loop(\(x,i).((((x * x) * x) + 1) div 2),1,(((x + 2) * x) + 1))
A191489: 1 32 365 2048 7813 23328 58825 131072 265721 500000 885781 1492992 2413405 3764768 5695313 8388608
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) div (((x + 2) * x) + 1))
A230664: 3 2 3 5 9 20 44 102 243 590 1464 3690 9433 24402 63772 168151
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod (((x + 2) * x) + 1))
A233471: 0 1 0 1 18 9 31 33 0 49 3 81 146 177 207 65
loop(\(x,i).(((x + 2) * x) * (x + 2)),1,(((x + 2) * x) + 1))
A325173: 9 144 1089 5184 18225 51984 127449 278784 558009 1040400 1830609 3069504 4941729 7683984 11594025 17040384
(loop(\(x,i).((i * x) * (x + 1)),2,2) * (((x + 2) * x) + 1))
A210645: 84 336 756 1344 2100 3024 4116 5376 6804 8400 10164 12096 14196 16464 18900 21504
(loop(\(x,i).(x * 2),x,((x + 2) * 2)) * (((x + 2) * x) + 1))
A129002: 4 48 288 1280 4800 16128 50176 147456 414720 1126400 2973696 7667712 19382272 48168960 117964800 285212672
(loop(\(x,i).((x * 2) * 2),(x + 1),x) * (((x + 2) * x) + 1))
A128987: 0 64 1152 12288 102400 737280 4816896 29360128 169869312 943718400 5075107840 26575110144 136096776192 683973541888 3382286745600 16492674416640
(loop(\(x,i).((2 + 1) * x),(x + 1),x) * (((x + 2) * x) + 1))
A128986: 0 36 486 3888 24300 131220 642978 2939328 12754584 53144100 214347870 841802544 3233287044 12187005012 45199057050 165299408640
((if (x mod 2) <= 0 then (x div 2) else (x * 2)) * (((x + 2) * x) - 1))
A136276: 0 4 7 84
loop(\(x,i).(((x * x) - 1) * ((2 + 2) + 1)),((x - 2) * x),1)
A033187: 1 1 1 120 4611686018427387903
((1 - (((x mod 2) * 2) * 2)) * loop(\(x,i).(1 - (x * 2)),x,1))
A282124: 1 3 3 15 11 63 43 255 171 1023 683 4095 2731 16383 10923 65535
loop(\(x,i).((((((x - 1) div 2) div 2) div 2) mod 2) + (x * 2)),x,1)
A222011: 1 2 4 8
A119610: 1 2 4 8 16 33 66 132 264 528 1057 2114 4228 8456 16912 33825
loop(\(x,i).(((x mod (1 - ((2 + 2) * 2))) mod 2) + (x * 2)),x,1)
A172411: 1 2 5 10
A267589: 1 2 5 10 20 41 83 167 335 671 1343 2687 5375 10751 21503 43007
loop(\(x,i).(((i div (((x mod 2) - 2) * 2)) mod 2) + (x * 2)),x,1)
A074988: 1 3 7 14 29 59 119 238 476 953 1907 3814 7629 15259 30519 61038
loop(\(x,i).((((x * 2) div ((x div 2) + 2)) mod 2) + (x * 2)),x,1)
A267539: 1 3 6 12 25 51 103 207 415 831 1663 3327 6655 13311 26623 53247
loop(\(x,i).((((1 - ((i mod 2) * 2)) * i) div 2) + (x * 2)),x,1)
A172416: 1 1 3 4 10 17 37 70 144 283 571 1136 2278 4549 9105 18202
loop(\(x,i).(((((i + 2) * (i + 1)) div 2) + x) + (x * 2)),x,1)
A052150: 1 6 24 82 261 804 2440 7356 22113 66394 199248 597822 1793557 5380776 16142448 48427480
(((if (x mod 2) <= 0 then (2 + 1) else ((x * x) * (x * 2))) * x) + 1)
A264931: 1 3 7 163
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else (x div 2)) + x) - 1)
A331271-A194898: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 21
((if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then (x mod 2) else x) + 1)
A328018-A242603: 1 2 3 4 5 6 1 8 9 10 11 12 13 2 15 16
loop(\(x,i).(((((x div 2) + (x * 2)) * x) + 1) - (x mod 2)),x,1)
A198894: 1 2 11 297
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((x mod 2) * x),1)
A285473: 1 11 1 1111 1 111111 1 11111111 1 1111111111 1 111111111111 1 11111111111111 1 1111111111111111
(((((x * x) + 2) * (x + 1)) - 1) + (if (x mod 2) <= 0 then x else 1))
A272707: 1 6 19 44 93 162 271 408 601 830 1131 1476 1909 2394 2983 3632
((((x * x) div (2 + 1)) * (x + 1)) + (if (x mod 2) <= 0 then x else 1))
A230281: 0 1 5 13 29 49
loop(\(x,i).(((((2 + 1) mod (x + 2)) + 2) * x) + (x mod 2)),x,1)
A216149: 1 3 16
A055842: 1 3 16 80 400 2000 10000 50000 250000 1250000 6250000 31250000 156250000 781250000 3906250000 19531250000
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((i + x) mod 2)),x,1)
A262863: 1 10 100 1001 10011 100110 1001100 10011001 100110011 1001100110 10011001100 100110011001 1001100110011 10011001100110 100110011001100 1001100110011001
loop(\(x,i).(((((((2 + 1) * 2) + 1) * i) * i) + x) + 2),x,1)
A063490: 1 10 40 105 219 396 650 995 1445 2014 2716 3565 4575 5760 7134 8711
loop(\(x,i).((x * 2) - (((1 - ((i mod 2) * 2)) * i) div 2)),x,1)
A177143: 1 3 5 12 22 47 91 186 368 741 1477 2960 5914 11835 23663 47334
loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 2)),x,1)
A000257: 1 1 3 12 56 288 1584 9152 54912 339456 2149888 13891584 91287552 608583680 4107939840 28030648320
loop(\(x,i).((((((i * 2) + 1) * x) * x) * 2) div (i + 2)),x,1)
A028580: 1 2 10 280 235200 173859840000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div ((2 + 2) * (2 + 1))) + x) + (i div 2)),x,1)
A008766: 1 1 2 3 5 7 10 13 18 23 29 36 45 54 65 77
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else (x + 1))
A102394: 0 2 3 0 5 0 0 8 9 0 0 12 0 14 15 0
(loop(\(x,i).(((i + 1) * i) + x),((x + 1) * 2),0) * (x + 1))
A100431: 8 80 336 960 2200 4368 7840 13056 20520 30800 44528 62400 85176 113680 148800 191488
(loop(\(x,i).((((i + x) * 2) * (2 + 1)) + x),x,0) mod (x + 1))
A094922: 0 0 0 0 1 0 1 0 0 8 1 0 1 8 12 0
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x + 1),1) mod (x + 1))
A066442: 0 0 0 0 2 0 5 0 0 4 1 0 12 4 3 0
(((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) + 1) * (x + 1))
A031696: 82 326 732 1300 2030 2922 3976 5192 6570 8110 9812 11676 13702 15890 18240 20752
((x - ((loop(\(x,i).(i * x),x,1) mod (x + 1)) - 1)) * (x + 1))
A131959: 1 2 3 8
A170826: 1 2 3 8 5 36 7 64 81 100 11 144 13 196 225 256
(((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) + 1) * (x + 1))
A031710: 257 1026 2307 4100 6405 9222 12551 16392 20745 25610 30987 36876 43277 50190 57615 65552
(((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) - 1) * (x + 1))
A158010: 255 1022 2301 4092 6395 9210 12537 16376 20727 25590 30965 36852 43251 50162 57585 65520
((loop(\(x,i).((i * i) * x),(2 + 2),(x + 1)) + 1) * (x + 1))
A031726: 577 2306 5187 9220 14405 20742 28231 36872 46665 57610 69707 82956 97357 112910 129615 147472
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) div (x + 1))
A060156: 10 50 333 2500 20000 166666 1428571 12500000 111111111 1000000000 9090909090 83333333333 769230769230 7142857142857 66666666666666 625000000000000
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) mod (x + 1))
A056969: 0 0 1 0 0 4 3 0 1 0 10 4 10 2 10 0
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),1) div (x + 1))
A129797: 7 24 114 600 3361 19608 117649 720600 4483734 28247524 179756976 1153440600 7453000800 48444505203 316504100662 2077058160600
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),1) mod (x + 1))
A066438: 0 1 1 1 2 1 0 1 1 9 7 1 7 7 13 1
((((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) + 1) * (x + 1))
A231407: 1 4 6
A143545: 1 4 6 4 10 6 14 8 9 10 22 12 26 14 15 16
((if ((x + 2) mod (((2 + 2) * 2) * 2)) <= 0 then 2 else 1) * (x + 1))
A060695: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 30 16
(((loop(\(x,i).(x * x),(2 + 2),(2 + 2)) * 2) + 1) mod (x + 1))
A254411: 0 1 0 1 3 3 2 1 0 3 9 9 6 9 3 1
(loop(\(x,i).((x * x) * x),2,(((2 + 2) * 2) + 1)) div (x + 1))
A057071: 387420489 193710244 129140163 96855122 77484097 64570081 55345784 48427561 43046721 38742048 35220044 32285040 29801576 27672892 25828032 24213780
(loop(\(x,i).((x * x) * x),2,(((2 + 2) * 2) + 1)) mod (x + 1))
A332054-A129810: 0 1 0 1 4 3 1 1 0 9 5 9 1 1 9 9
(if (x mod 2) <= 0 then 1 else (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)))
A339420: 1 0 1 0 1 0 1 0 1 2 1 4 1 6 1 8
((loop(\(x,i).(x * x),(2 - (x mod 2)),(2 + 2)) + 1) mod (x + 1))
A137327: 0 1 2 1 2 5 5 1 5 7 4 5 10 3 2 1
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((2 + 2) + 1),(x + 1))
A168652: 100000 200000 300000 400000 500000 600000 700000 800000 900000 1000000 1100000 1200000 1300000 1400000 1500000 1600000
loop(\(x,i).((x div ((i mod 2) + 2)) + x),((2 + 2) + 1),(x + 1))
A247061: 1 8 16 17 24 32 33 40 48 49 56 64 65 72 80 81
(if x <= 0 then 1 else (x - (((1 - (x * 2)) * (2 + 1)) div (x + 1))))
A258432: 1 3 5 7 9 10 11 12 13 15 16 17 18 19 20 21
(x - loop(\(x,i).(1 - x),(x - 1),(x - ((2 + 1) mod (x + 1)))))
A267048: 0 1 3 3 4 3 8 3 12 3 16 3 20 3 24 3
((if (x mod 2) <= 0 then 2 else ((((x + 2) * x) div 2) - 1)) * (x + 1))
A171734: 2 0 6 24 10 96 14 240 18 480 22 840 26 1344 30 2016
compr(\x.((loop(\(x,i).(x * 2),x,1) + 1) mod ((x * 2) + 1)),(x + 1))
A224486: 1 2 5 6 9 14 18 21 26 29 30 33 41 50 53 54
(loop(\(x,i).((i + 1) * x),(x * 2),((x * 2) + 1)) div (x + 1))
A052145: 1 9 200 8820 653184 73180800 11564467200 2451889440000 671854030848000 231125690776780800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(loop(\(x,i).(x * 2),x,(2 - x)) mod ((x div 2) + 1)),(x + 1))
A019438: 1 2 3 5 6 7 11 14 15 23
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) - 1) * (x + 1))
A224331: 1 26 291 2740 24005 201678 1647079 13176680 103766409 807072130 6214455467 47455841820 359873467213 2712892291382 20346692185455 151921968318160
((loop(\(x,i).(((i + x) div (2 + 1)) + x),x,2) - 1) div (x + 1))
A127217: 1 1 1 1 1 2 2 3 4 5 6 8 10 13 17 21
((loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) + 1) * (x + 1))
A020330: 3 10 15 36 45 54 63 136 153 170 187 204 221 238 255 528
(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,1) mod (x + 1))
A216369: 0 0 1 2 4 2 6 6 1 6 1 2 10 8 4 6
(loop(\(x,i).(((i + 2) + 2) * x),((2 + 1) * x),1) div (x + 1))
A028917: 1 105 50400 64864800 174356582400 844757641728000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) div (x + 1))
A089303: 1 5 37 277 2222 18518 158730 1388888 12345679 111111111 1010101010 9259259259 85470085470 793650793650 7407407407407 69444444444444
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) mod (x + 1))
A095250: 0 1 0 3 1 3 1 7 0 1 1 3 1 11 6 7
(loop(\(x,i).((((x * 2) * 2) + (x mod 2)) - 1),x,1) div (x + 1))
A013560: 1 2 5 15 47 159
(loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),x,1) mod (x + 1))
A042970: 0 0 0 2 0 2 0 6 0 2 0 0 0 2 0 6
(loop(\(x,i).(((((i div 2) * 2) + 1) * x) * 2),x,1) div (x + 1))
A059837: 1 1 4 18 144 1200 14400 176400 2822400 45722880 914457600 18441561600 442597478400 10685567692800 299195895398400 8414884558080000
(((loop(\(x,i).(i * x),x,1) + ((x + 2) * x)) + 1) * (x + 1))
A080668: 2 10 33 88 245 936 5383 40832 363609 3629800 39918131 479003328 6227022997 87178293944 1307674371375 20922789892096
(loop(\(x,i).(x * 2),x,2) mod ((((x + 2) * x) + 1) * (x + 1)))
A233442: 0 4 8 16 32 64 128 256 512 24 717 640 1601 2664 2393 0
(2 - ((1 - (loop(\(x,i).(x * 2),x,1) mod (x + 1))) div (x + 1)))
A327390: 1 2 2 2 2 3 2 2 3 3 2 3 2 3 3 2
(((loop(\(x,i).(x * 2),x,2) + (x div 2)) div (x + 1)) * (x + 1))
A082894: 2 4 9 16 30 66 126 256 513 1020 2046 4092 8190 16380 32775 65536
loop(\(x,i).((x * x) * x),1,(((x * x) * (x + 1)) * (x + 1)))
A249076: 0 64 46656 2985984 64000000 729000000 5489031744 30840979456 139314069504 531441000000 1771561000000 5289852801024 14412774445056 36343632130624 85766121000000 191102976000000
compr(\x.(loop(\(x,i).(((x mod 2) * x) + (x div 2)),x,x) - 1),(x + 1))
A039500: 1 2 3 4 6 8 11 12 15 16 22 24 29 30 32 39
((loop(\(x,i).((((x * 2) + 1) * i) + x),x,0) div 2) div (x + 1))
A104256: 0 0 1 6 47 433 4826 63344 957206 16368226 312484331 6588211317 152035645781 3811750833515 103171389227156 2998418499414228
loop(\(x,i).(x - (x mod ((x div ((2 + 2) + 1)) + 1))),2,(x + 1))
A138768: 1 2 3 4 4 6 6 8 8 8 8 12 12 12 12 16
(loop(\(x,i).(x * x),(2 + 1),(((2 + 2) + 1) * 2)) div (x + 1))
A033424: 100000000 50000000 33333333 25000000 20000000 16666666 14285714 12500000 11111111 10000000 9090909 8333333 7692307 7142857 6666666 6250000
(loop(\(x,i).((x * x) * x),2,(((2 + 2) + 1) * 2)) div (x + 1))
A033423: 1000000000 500000000 333333333 250000000 200000000 166666666 142857142 125000000 111111111 100000000 90909090 83333333 76923076 71428571 66666666 62500000
loop(\(x,i).(((((x + 2) + 1) * x) div 2) * (2 + 1)),2,(x + 1))
A102741: 81 405 1215 2835 5670 10206 17010 26730 40095 57915 81081 110565 147420 192780 247860 313956
(loop(\(x,i).((x * x) * (i + 2)),2,((2 + 1) * 2)) div (x + 1))
A057068: 46656 23328 15552 11664 9331 7776 6665 5832 5184 4665 4241 3888 3588 3332 3110 2916
(x - (loop(\(x,i).((i - x) * x),2,((2 + 1) * 2)) * (x + 1)))
A158412: 960 1921 2882 3843 4804 5765 6726 7687 8648 9609 10570 11531 12492 13453 14414 15375
loop(\(x,i).(((x mod (2 + 1)) * 2) - (x div (2 + 1))),2,(x + 1))
A194512: 4 1 5 2 ~1 3 0 4 1 5 2 6 3 0 4 1
(((if (x mod 2) <= 0 then 1 else x) mod ((x mod (2 + 1)) + 2)) * (x + 1))
A285769-A066638: 1 2 3 4 5 6 7 8 9 10 11 36 13 14 15 16
loop(\(x,i).((((2 + 2) + 1) * x) mod ((x div 2) + 1)),2,(x + 1))
A036849: 0 0 0 0 0 0 1 0 0 0 0 2 0 2 1 0
((loop(\(x,i).((x * x) * 2),(2 + 1),(x + 1)) div 2) div (x + 1))
A291832: 64 8192 139968 1048576 5000000 17915904 52706752 134217728 306110016 640000000 1247178944 2293235712 4015905088 6746464256 10935000000 17179869184
(((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) + 2) * (x + 1))
A177099: 83 328 735 1304 2035 2928 3983 5200 6579 8120 9823 11688 13715 15904 18255 20768
(((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) - 2) * (x + 1))
A157507: 79 320 723 1288 2015 2904 3955 5168 6543 8080 9779 11640 13663 15848 18195 20704
(((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) + 2) * (x + 1))
A158230: 258 1028 2310 4104 6410 9228 12558 16400 20754 25620 30998 36888 43290 50204 57630 65568
(((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) - 2) * (x + 1))
A158249: 254 1020 2298 4088 6390 9204 12530 16368 20718 25580 30954 36840 43238 50148 57570 65504
((loop(\(x,i).((i * i) * x),(2 + 2),(x + 1)) + 2) * (x + 1))
A158369: 578 2308 5190 9224 14410 20748 28238 36880 46674 57620 69718 82968 97370 112924 129630 147488
((loop(\(x,i).((i * i) * x),(2 + 2),(x + 1)) - 2) * (x + 1))
A158371: 574 2300 5178 9208 14390 20724 28210 36848 46638 57580 69674 82920 97318 112868 129570 147424
loop(\(x,i).((((x * x) + 2) * x) + 1),((x + 1) * 2),(x + 1))
A289853: 73 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (x - (x div ((2 + 2) * (i + 1))))),2,(x + 1))
A006164: 1 1 2 3 4 5 6 6 7 8 9 10 11 12 12 12
((((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) + 2) * (x + 1))
A175030: 2 6 9 8 15 12 21 16 18 20 33 24 39 28 30 32
(x - (loop(\(x,i).(1 - ((x * x) * (2 + 2))),2,2) * (x + 1)))
A158409: 899 1799 2699 3599 4499 5399 6299 7199 8099 8999 9899 10799 11699 12599 13499 14399
(((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) * 2) * (x + 1))
A235383: 8 144
A212703: 8 144 1944 23328 262440 2834352 29760696 306110016 3099363912 30993639120 306837027288 3012581722464 29372671794024 284688972772848 2745215094595320 26354064908115072
loop(\(x,i).(x * x),(2 + 1),(2 - (((2 + 2) * 2) * (x + 1))))
A017144: 1679616 1475789056 54875873536 656100000000 4347792138496 20047612231936 72301961339136 218340105584896 576480100000000 1370114370683136 2992179271065856 6095689385410816 11716593810022656
loop(\(x,i).(((x div ((2 + 2) + 1)) * (x div 2)) div 2),2,(x + 1))
A035591: 0 0 0 0 0 0 0 0 0 1 1 1 1 1 5 6
((2 + 2) - (loop(\(x,i).(1 - ((x * x) * 2)),2,2) * (x + 1)))
A100775: 101 198 295 392 489 586 683 780 877 974 1071 1168 1265 1362 1459 1556
loop(\(x,i).((((x * x) * (2 + 2)) * 2) * 2),(2 + 2),(x + 1))
A183085: 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
(x - (loop(\(x,i).((0 - x) * (x + 2)),2,(2 + 2)) * (x + 1)))
A158365: 528 1057 1586 2115 2644 3173 3702 4231 4760 5289 5818 6347 6876 7405 7934 8463
(((x + 2) div ((if x <= 0 then 1 else 2) + 1)) + ((2 + 2) * (x + 1)))
A184479: 5 9 13 17 22 26 30 35 39 43 48 52 56 61 65 69
((loop(\(x,i).(i * x),x,1) + (x * x)) mod ((2 + 2) * (x + 1)))
A133933: 1 2 6 15 0 1 0 1 28 1 0 25 0 1 16 33
((2 - (if (x mod (2 + 1)) <= 0 then 1 else (x div (2 + 2)))) div (x + 1))
A016423-A016412-A014035: 1 1 0 0 0 0 0 0 0 0 0 0 0 ~1 ~1 0
(loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,(2 + 2)) div (x + 1))
A225586: 4 12 41 156 624 2604 11160 48828 217013 976562 4438920 20345052 93900240 435965401 2034505208 9536743164
loop(\(x,i).((((((i * 2) - 1) * x) - 1) * x) div 2),2,(x + 1))
A236770: 0 1 12 51 145 330 651 1162 1926 3015 4510 6501 9087 12376 16485 21540
loop(\(x,i).(x * 2),x,(((((x + 2) * x) + 2) * 2) * (x + 1)))
A119635: 4 40 240 1088 4160 14208 44800 133120 377856 1034240 2748416 7127040 18104320 45187072 111083520 269484032
((loop(\(x,i).((i + 2) * x),(x + 1),(x + 2)) div 2) * (x + 1))
A055303: 3 36 360 3600 37800 423360 5080320 65318400 898128000 13172544000 205491686400 3399953356800 59499183744000 1098446469120000 21341245685760000 435361411989504000
((loop(\(x,i).((i + x) * 2),(x - 1),(x + 2)) div 2) + (x + 1))
A129955: 2 3 8 18 40 88 192 416 896 1920 4096 8704 18432 38912 81920 172032
((loop(\(x,i).((i * i) * x),(x + 2),(x + 2)) div 2) * (x + 1))
A131092: 4 108 3456 144000 7776000 533433600 45519667200 4740548198400 592568524800000 87634300723200000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + 2) + 2) * x),x,((x + 2) * 2)) * (x + 1))
A055315: 4 60 720 8400 100800 1270080 16934400 239500800 3592512000 57081024000 958961203200 16999766784000 317328979968000 6224529991680000 128047474114560000 2757288942600192000
(if ((x + 1) mod ((2 + 1) * 2)) <= 0 then ((x - 2) * 2) else (x + 1))
A295417-A293448-A225891-A105119-A085079-A072356-A069799: 1 2 3 4 5 6 7 8 9 10 11 18 13 14 15 16
(if (x mod (2 + 2)) <= 0 then 1 else (((2 - (x mod 2)) * 2) * (x + 1)))
A331054: 1 4 12 8 1
(((if (x mod (2 + 1)) <= 0 then (x + 1) else (0 - x)) + 2) * (x + 1))
A321518: 3 2 0 24
(((if (((x - 1) div 2) mod (2 + 1)) <= 0 then 1 else x) + 2) div (x + 1))
A278907: 2 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) div (x + 1))
A024498: 2 3 6 17 50 154 490 1608 5402 18475 64130 225346 800046 2865471 10341168 37567524
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) mod (x + 1))
A059288: 0 0 2 2 2 0 2 6 2 6 2 4 2 6 0 6
loop(\(x,i).((i * i) + x),x,((((x + 2) * x) + 2) * (x + 1)))
A205342: 2 11 35 82 160 277 441 660 942 1295 1727 2246 2860 3577 4405 5352
((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 2)) div (x + 1))
A180104: 200 150 133 125 120 116 114 112 111 110 109 108 107 107 106 106
((loop(\(x,i).((i + 2) * x),(x * 2),2) div (x + 2)) * (x + 1))
A274136: 1 16 540 32256 3024000 410572800 76281004800 18598035456000 5762136335155200 2211729098342400000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 2) * x) + 2) * x),1,((x + 2) * (x + 1)))
A250015: 20 300 2040 8840 28860 77700 182000 383760 745380 1355420 2335080 3845400 6095180 9349620 13939680 20272160
(loop(\(x,i).((x * 2) * 2),(x + 1),x) * ((x + 2) * (x + 1)))
A128962: 0 96 1536 15360 122880 860160 5505024 33030144 188743680 1038090240 5536481280 28789702656 146565758976 732828794880 3607772528640 17523466567680
(loop(\(x,i).((2 + 1) * x),(x + 1),x) * ((x + 2) * (x + 1)))
A128961: 0 54 648 4860 29160 153090 734832 3306744 14171760 58458510 233834040 911952756 3482001432 13057505370 48212327520 175630621680
loop(\(x,i).(((x + 2) * x) * ((x * 2) + 1)),(x * 2),(x + 1))
A330399: 1 136080 4611686018427387903
(if (x - (2 + 1)) <= 0 then ((x + 2) + 1) else ((x * 2) * (x + 1)))
A154665: 3 4 5 6 40
(x - ((1 - (((if (x - 2) <= 0 then 1 else x) + x) * 2)) div (x + 1)))
A225647: 1 3 4 6 7
A233334: 1 3 4 6 7 9 10 11 12 13 14 15 16 17 18 19
((((x + 2) + 2) * (x + 2)) * loop(\(x,i).(x * x),2,(x + 1)))
A221466: 8 240 1944 8960 30000 81648 192080 405504 787320 1430000 2459688 4043520 6397664 9796080 14580000 21168128
((loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1) + x) div (x + 1))
A129790: 6 18 72 324 1556 7776 39991 209952 1119744 6046618 32981551 181398528 1004668771 5597440293 31345665639 176319369216
((loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),1) + x) div (x + 1))
A129792: 8 32 171 1024 6554 43691 299594 2097152 14913081 107374183 780903145 5726623062 42288908761 314146179365 2345624805923 17592186044416
((loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) + x) div (x + 1))
A129789: 5 13 42 157 625 2605 11161 48829 217014 976563 4438921 20345053 93900241 435965402 2034505209 9536743165
((loop(\(x,i).((2 + 1) * x),((x + 1) * 2),1) + x) div (x + 1))
A129793: 9 41 243 1641 11810 88574 683282 5380841 43046721 348678441 2852823601 23535794707 195528140641 1634056603926 13726075472977 115813761803241
compr(\x.loop(\(x,i).(x div 2),(x mod (((2 + 2) * 2) + 1)),x),(x + 1))
A032986: 1 2 3 4 5 6 7 8 13 14 15 16 17 23 24 25
(loop(\(x,i).((x * x) div ((x + 2) + 2)),(2 + 1),x) + (x + 1))
A285710: 1 2 3 4 5 6 7 8 9 11 13 14 16 17 19 21
(loop(\(x,i).(((i * i) * (x + 1)) + x),(2 + 1),x) * (x + 1))
A157659: 99 398 897 1596 2495 3594 4893 6392 8091 9990 12089 14388 16887 19586 22485 25584
loop(\(x,i).((((x * 2) div (i + 1)) + x) * (2 + 1)),x,(x + 1))
A036216: 1 12 90 540 2835 13608 61236 262440 1082565 4330260 16888014 64481508 241805655 892820880 3252418920 11708708112
(((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + (x + 1))
A329833-A189682-A059541: 1 3 5 6 8 10 11 13 15 16 18 20 22 23 25 27
(((if (x mod 2) <= 0 then x else ((x * x) * (2 + 1))) + x) div (x + 1))
A019426: 0 2 1 7 1 13 1 19 1 25 1 31 1 37 1 43
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + x) div (x + 1))
A066559: 1 5 34 250 2000 16667 142858 1250000 11111112 100000000 909090910 8333333334 76923076924 714285714286 6666666666667 62500000000000
(compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) mod (x + 1))
A087611: 0 0 1 2 0 0 2 2 4 8 8 0 1 0 1 4
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + (x + 1))
A097911: 1 3 5 8
A167136: 1 3 5 8 11 16 19 24 27 32 39 42 49 54 57 62
((loop(\(x,i).((i + 1) * x),(2 + 2),(x + 1)) + x) * (x + 1))
A157960: 120 482 1086 1932 3020 4350 5922 7736 9792 12090 14630 17412 20436 23702 27210 30960
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),x) * (x + 1))
A128801: 0 98 2058 28812 336140 3529470 34588806 322828856 2905459704 25422772410 217505941730 1827049910532 15114685623492 123436599258518 996987917088030 7975903336704240
((((2 + 2) * (x + 1)) + 1) * ((if x <= 0 then 1 else x) + (x + 1)))
A220021: 10 27 65 119 189 275 377 495 629 779 945 1127 1325 1539 1769 2015
(loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),2,x) + (x + 1))
A082946: 111 212 313 414 515 616 717 818 919
compr(\x.loop(\(x,i).(x div 2),(x mod (((2 + 2) + 1) * 2)),x),(x + 1))
A032987: 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 25
compr(\x.loop(\(x,i).(x - i),(x mod (((2 + 2) + 1) * 2)),x),(x + 1))
A190298: 1 2 3 4 5 6 7 8 9 15 16 17 18 19 27 28
((x + 1) div (0 - loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1))))
A118830: ~1 2 ~1 4 ~1 2 ~1 8 ~1 2 ~1 4 ~1 2 ~1 16
(((x + 1) * 2) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A171977: 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,x) + (x + 1))
A072290: 1 11 192 2893 38894 488895 5888896 68888897 788888898 8888888899 98888888900 1088888888901 11888888888902 128888888888903 1388888888888904 14888888888888905
compr(\x.(loop(\(x,i).(x div (2 - (x mod 2))),x,(x * x)) - x),(x + 1))
A222011: 1 2 4 8
A116882: 1 2 4 8 12 16 24 32 40 48 56 64 80 96 112 128
loop(\(x,i).((((x * x) div ((2 + 2) * 2)) + 1) div 2),2,(x - 1))
A326445-A326443: 0 0 0 0 0 0 0 0 1 1 2 2 4 5 8 9
((loop(\(x,i).((x * 2) * (2 + 1)),(x - 2),x) div 2) * (x - 1))
A081136: 0 0 1 18 216 2160 19440 163296 1306368 10077696 75582720 554273280 3990767616 28298170368 198087192576 1371372871680
((loop(\(x,i).(((x * 2) * 2) * 2),(x - 2),x) div 2) * (x - 1))
A081138: 0 0 1 24 384 5120 61440 688128 7340032 75497472 754974720 7381975040 70866960384 670014898176 6253472382976 57724360458240
((loop(\(x,i).(x * 2),(x - 2),((x - 2) * x)) div 2) * (x - 1))
A052771: 0 0 0 6 48 240 960 3360 10752 32256 92160 253440 675840 1757184 4472832 11182080
((loop(\(x,i).(((i + 2) + 1) * x),(x - 2),x) div 2) * (x - 1))
A001754: 0 0 1 12 120 1200 12600 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 19833061248000 366148823040000
((loop(\(x,i).((x - i) * x),2,(x - (2 + 1))) * x) * (x - 1))
A053625: 0 0 0 0 0 0 720 5040 20160 60480 151200 332640 665280 1235520 2162160 3603600
((loop(\(x,i).((x + 2) * x),1,((2 - x) + 1)) * x) * (x - 1))
A062765: 0 0 6 0 ~12 0 90 336 840 1728 3150 5280 8316 12480 18018 25200
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x - 1))
A276666: ~1 0 2 10 42 168 660 2574 10010 38896 151164 587860 2288132 8914800 34767720 135727830
(loop(\(x,i).(x - (((x div 2) - 2) div (2 + 1))),2,x) + (x - 1))
A328585-A277573: 1 3 5 6 7 9 11 13 15 17 18 19 21 23 25 27
(loop(\(x,i).(x - ((x - 2) div ((x div 2) + 2))),2,x) + (x - 1))
A042996: 1 2 3 5 7 9 11 12 13 15 17 19 21 23 25 27
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - (x - 1))
A014689: 1 1 2 3 6 7 10 11 14 19 20 25 28 29 32 37
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) - (x - 1))
A107819: 1 3 4 7 8 11 12 15 20 21 26 29 30 33 38 43
loop(\(x,i).(((((i + 1) * 2) * ((2 + 2) + 1)) - 1) * x),x,1)
A035278: 1 19 551 21489 1052961 62124699 4286604231 338641734249 30139114348161 2983772320467939 325231182931005351 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x),x,1)
A009985: 1 41 1681 68921 2825761 115856201 4750104241 194754273881 7984925229121 327381934393961 13422659310152401 550329031716248441 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * ((2 + 2) + 1)) + 1) * x),x,1)
A176446: 1 21 8841 1563274461 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 1) * (2 + 1)) * (2 + 1)) + 1) * x),x,1)
A053116: 1 19 532 19684 905464 49800520 3187233280 232668029440 19078778414080 1736168835681280 173616883568128000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x),x,1)
A009981: 1 37 1369 50653 1874161 69343957 2565726409 94931877133 3512479453921 129961739795077 4808584372417849 177917621779460413 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((1 - (i mod (2 + 1))) * (2 + 1)) + 1) * x),x,1)
A138230: 1 1 ~2 ~8 ~8 16 64 64 ~128 ~512 ~512 1024 4096 4096 ~8192 ~32768
loop(\(x,i).((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x),x,1)
A009991: 1 47 2209 103823 4879681 229345007 10779215329 506623120463 23811286661761 1119130473102767 52599132235830049 2472159215084012303 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 1) * i) + 2) * (2 + 1)) + 1) * x),x,1)
A035021: 1 16 400 13600 584800 30409600 1854985600 129848992000 10258070368000 902710192384000 87562888661248000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 1) * i) + 2) * (2 + 1)) - 1) * x),x,1)
A035018: 1 14 322 10304 422464 21123200 1246268800 84746278400 6525463436800 561189855564800 53313036278656000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 1) * i) - 2) * (2 + 1)) - 1) * x),x,1)
A084949: 1 2 22 440 12760 484880 22789360 1276204160 82953270400 6138542009600 509498986796800 46873906785305600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i + 1) * i) div 2) * (2 + 1)) + 1) * x),x,1)
A140701: 1 4 40 760 23560 1083760 69360640 5895654400 642626329600 87397180825600 14507932017049600 2887078471392870400 4611686018427387903 4611686018427387903
loop(\(x,i).((i - (x div (((i * 2) * (2 + 1)) + 1))) + x),x,1)
A025716: 1 2 4 7 11 16 22 29 37 46 56 67 79 91 104 118
loop(\(x,i).((((1 - (i * 2)) * ((i * 2) - 1)) - 1) * x),x,1)
A101927: 1 ~2 20 ~520 26000 ~2132000 260104000 ~44217680000 9993195680000 ~2898026747200000 1049085682486400000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) + 1) * i) + 1) * 2) + 1) * x),x,1)
A035272: 1 13 299 9867 424281 22486893 1416674259 103417220907 8583629335281 798277528181133 82222585402656699 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 mod (x + 1)) + 2) + 2) * 2) + 1) * x),x,1)
A196663: 1 9 117 1521 19773 257049 3341637 43441281 564736653 7341576489 95440494357 1240726426641 16129443546333 209682766102329 2725875959330277 35436387471293601
loop(\(x,i).((((((2 mod (x + 1)) + 2) * 2) * 2) - 1) * x),x,1)
A067420: 1 7 105 1575 23625 354375 5315625 79734375 1196015625 17940234375 269103515625 4036552734375 60548291015625 908224365234375 13623365478515625 204350482177734375
loop(\(x,i).(((((i * i) + 1) * i) * ((2 + 2) + 1)) + x),x,1)
A222408: 1 11 61 211 551 1201 2311 4061 6661 10351 15401 22111 30811 41861 55651 72601
loop(\(x,i).(((((i * i) * (i * i)) * (2 + 2)) + 1) * x),x,1)
A274306: 1 5 325 105625 108265625 270772328125 1403954521328125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x + 2) + 2) + 2) * 2) * (2 + 1)) + x),x,1)
A164783: 1 43 337 2395 16801 117643 823537 5764795 40353601 282475243 1977326737 13841287195 96889010401 678223072843 4747561509937 33232930569595
loop(\(x,i).((2 - (i - (((2 + 2) * 2) * (2 + 1)))) * x),x,1)
A104643: 1 25 600 13800 303600 6375600 127512000 2422728000 43609104000 741354768000 11861676288000 177925144320000 2490952020480000 32382376266240000 388588515194880000 4274473667143680000
((((x * x) + (2 + 1)) * x) + loop(\(x,i).((2 + 1) * x),x,1))
A220509: 1 7 23 63 157 383 963 2551 7097 20439 60079 178511 533205 1596559 4785755 14352327
loop(\(x,i).((((i - ((2 - x) * 2)) + x) * (2 + 1)) + x),x,1)
A133462: 1 1 4 37 370 3703 37036 370369 3703702 37037035 370370368 3703703701 37037037034 370370370367 3703703703700 37037037037033
loop(\(x,i).((((((2 + 2) + 1) * x) * x) - (2 + 1)) * x),x,1)
A045529: 1 2 34 196418 37889062373143906 4611686018427387903
loop(\(x,i).((((i * i) * (2 + 1)) div ((x * 2) + 1)) + x),x,1)
A061465: 1 2 4 7 10 13 17 21 25 29 34 39 44 49 54 60
((loop(\(x,i).((x * 2) * (x + 1)),((x * 2) - 1),x) * x) + 1)
A067502: 1 5 390625 4611686018427387903
loop(\(x,i).((((x * x) + i) div (((2 + 1) * x) - 1)) + x),x,1)
A164001: 1 2 3 4 5 7 9 12 16 21 28 37 49 65 86 114
(2 - loop(\(x,i).((((x * x) * x) div 2) - ((x + 1) * x)),x,1))
A180745: 1 4 8 140
(compr(\x.((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x)),x) + 1)
A068637-A034704: 1 2 3 4 5 6 7 8 9 10 11 21 31 41 51 61
loop(\(x,i).((((((2 + 2) * (2 + 1)) - 1) * i) - 1) * x),x,1)
A254322: 1 10 210 6720 288960 15603840 1014249600 77082969600 6706218355200 657209398809600 71635824470246400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (i - 1)) * (1 - i)) - 1) * x),x,1)
A101928: 1 ~1 5 ~85 3145 ~204425 20646925 ~2993804125 589779412625 ~151573309044625 49261325439503125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * i) * (2 + 2)) - 1) * (i + 1)) + x),x,1)
A057675: 1 7 52 192 507 1101 2102 3662 5957 9187 13576 19372 26847 36297 48042 62426
loop(\(x,i).((((((x div 2) + x) * 2) + 1) div (i + 1)) + x),x,1)
A000601: 1 2 4 7 11 16 23 31 41 53 67 83 102 123 147 174
loop(\(x,i).((((((i + 1) * i) div 2) + 1) * (i + 1)) + x),x,1)
A133252: 1 5 17 45 100 196 350 582 915 1375 1991 2795 3822 5110 6700 8636
loop(\(x,i).((((((i + 2) * i) div 2) + 1) * (i + 1)) + x),x,1)
A006010: 1 5 20 52 117 225 400 656 1025 1525 2196 3060 4165 5537 7232 9280
loop(\(x,i).(((((2 + 1) * 2) * (i - 1)) + (i + 1)) * x),x,1)
A084947: 1 2 18 288 6624 198720 7352640 323516160 16499324160 956960801280 62202452083200 4478576549990400 353807547449241600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((i - (((2 + 2) * 2) * (i + 1))) * x)),x,1)
A053105: 1 16 368 11040 408480 17973120 916629120 53164488960 3455691782400 248809808332800 19655974858291200 1690413837813043200 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) + 1)
A309115: 1 2 5 16
A323229: 1 2 5 16 57 211 793 3004 11441 43759 167961 646647 2496145 9657701 37442161 145422676
loop(\(x,i).((((((i * 2) + 1) * 2) * 2) - (i - 1)) * x),x,1)
A034832: 1 12 228 5928 195624 7824960 367773120 19859748480 1211444657280 82378236695040 6178367752128000 506626155674496000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) - (i mod 2)) * 2) + 1) * 2) + x),x,1)
A274823: 1 7 65
A083302: 1 7 65 583 5249 47239 425153 3826375 34437377 309936391 2789427521 25104847687 225943629185 2033492662663 18301433963969 164712905675719
loop(\(x,i).((((((i + 2) + 2) + 2) * (i + 1)) div 2) + x),x,1)
A006416: 1 8 20 38 63 96 138 190 253 328 416 518 635 768 918 1086
loop(\(x,i).(((x mod ((x div ((2 + 2) + 1)) + 2)) + 2) * x),x,1)
A067864: 1 3 9 18 90
loop(\(x,i).((((((2 + 2) mod (x + 2)) + 2) + 2) + 2) * x),x,1)
A196662: 1 7 70 700 7000 70000 700000 7000000 70000000 700000000 7000000000 70000000000 700000000000 7000000000000 70000000000000 700000000000000
loop(\(x,i).((((((i + 2) + 2) * i) + 2) * (2 + 2)) + x),x,1)
A323218: 1 29 85 177 313 501 749 1065 1457 1933 2501 3169 3945 4837 5853 7001
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x * x),1)
A214441: 1 1 14 4862 35357670 4861946401452 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) mod ((x * x) + 1))
A021444: 0 0 2 2 7 2 7 2 7 2 7 2 7 2 7 2
loop(\(x,i).((x div 2) - ((x - 1) div (2 + 1))),2,((x * x) + 1))
A008625: 1 0 0 1 1 1 2 2 2 3 3 4 5 5 6 7
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(x * x),1)
A078353: 1 19 130321 322687697779 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * x) * 2),2,((2 + 1) * x)) * (x * x)) - 1)
A345702: ~1 647 41471 472391 2654207 10124999 30233087 76236551 169869311 344373767 647999999 1147971527 1934917631 3127772231 4879139327 7381124999
loop(\(x,i).((((((2 + 2) * 2) + 1) * (2 + 1)) - i) * x),x,1)
A106793: 1 26 650 15600 358800 7893600 165765600 3315312000 62990928000 1133836704000 19275223968000 308403583488000 4626053752320000 64764752532480000 841941782922240000 4611686018427387903
loop(\(x,i).((((((i + 1) * i) div 2) * (2 + 1)) + i) * x),x,1)
A302909: 1 4 44 924 31416 1570800 108385200 9863053200 1144114171200 164752440652800 28831677114240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i + 1) * 2) * (2 + 1)) + i) * i) + x),x,1)
A299646: 1 14 54 135 271 476 764 1149 1645 2266 3026 3939 5019 6280 7736 9401
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * i),x,1)
A121194: 1 2 10 84
A065866: 1 2 10 84 1008 15840 308880 7207200 196035840 6094932480 213322636800 8303173401600 355850288640000 16653793508352000 845180020548864000 4611686018427387903
((x - (if (((x - 1) * x) mod ((x div 2) + 1)) <= 0 then 1 else 0)) mod 2)
A288932: 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1
(if ((x + 1) mod (((x div 2) div ((x mod 2) + 1)) + 1)) <= 0 then 0 else 2)
A281009: 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0
((((x + 2) div (2 + 1)) - (if ((x div 2) - 2) <= 0 then 1 else 0)) mod 2)
A104107: 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1
((x * 2) - (((x div 2) - (if ((x div 2) - 2) <= 0 then 1 else 0)) div 2))
A285344: 1 3 4 6 8 10 11 13 14 16 18 20 21 23 25 27
(((x div 2) - (if (((2 + 2) * 2) mod (x + 2)) <= 0 then 1 else 0)) mod 2)
A170984-A170983-A170982-A170981-A170965-A170964-A170963-A170962-A170961-A170960-A170959-A170958-A170957-A147599: 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1
((((((x div 2) - 1) * x) div 2) + (if (x - 2) <= 0 then 1 else 0)) mod 2)
A296238: 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1
(loop(\(x,i).(((((i + 2) * i) - 1) * i) + x),(x + 1),0) div 2)
A290312: 1 8 29 75 160 301 518 834 1275 1870 2651 3653 4914 6475 8380 10676
(loop(\(x,i).(((((i * i) div 2) * i) * i) + x),(x + 1),0) div 2)
A060453: 0 4 22 86 236 560 1148 2172 3792 6292 9922 15106 22204 31808 44408 60792
((if ((((2 + 2) * 2) * 2) mod (x + 2)) <= 0 then (x + 2) else 0) div 2)
A135416: 1 0 2 0 0 0 4 0 0 0 0 0 0 0 8 0
(loop(\(x,i).(((((i * i) div 2) * i) div 2) + x),(x + 2),0) div 2)
A007009: 1 4 12 27 54 96 160 250 375 540 756 1029 1372 1792 2304 2916
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 1 else (0 - 2))
A114284: 1 ~2 1 ~2 ~2 1 ~2 ~2 ~2 1 ~2 ~2 ~2 ~2 1 ~2
(x div (if (x mod 2) <= 0 then ((x div 2) + 2) else ((2 + 2) * (0 - 2))))
A268173: 0 ~1 0 ~1 1 ~1 1 ~1 1 ~2 1 ~2 1 ~2 1 ~2
loop(\(x,i).((x * x) * 2),1,(((x * 2) * 2) - (x div (0 - 2))))
A085445: 0 50 162 392 648
(((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) + x) - (x div (0 - 2)))
A225647: 1 3 4 6 7
A187580: 1 3 4 6 7 9 10 13 14 16 17 19 20 22 23 25
((1 - loop(\(x,i).(((x * 2) * 2) - (i mod (2 + 1))),x,0)) div 2)
A178872: 0 1 3 12 49 195 780 3121 12483 49932 199729 798915 3195660 12782641 51130563 204522252
(loop(\(x,i).(((i * 2) + x) - (((x - 1) div 2) div 2)),x,0) div 2)
A060293: 0 1 3 6 9 12 15 19 22 26 30 34 38 42 46 50
(loop(\(x,i).(((i div ((x mod 2) + 2)) + 1) + (x div 2)),x,0) div 2)
A275891: 0 0 0 1 2 2 2 2 2 3 4 4 5 5 6 6
(loop(\(x,i).((2 - ((x * 2) mod ((2 + 2) + 1))) - x),x,0) + 2)
A328985: 2 4 ~2 6 ~3 9 ~7 11 ~8 14 ~12 16 ~13 19 ~17 21
(loop(\(x,i).((((i * i) * i) * ((i * i) + 1)) + x),x,0) div 2)
A331528: 0 1 21 156 700 2325 6321 14896 31536 61425 111925 193116 318396 505141 775425 1156800
(loop(\(x,i).(((((i + 2) * i) - 1) * (i + 2)) + x),x,0) div 2)
A163943: 0 3 17 52 121 240 428 707 1102 1641 2355 3278 4447 5902 7686 9845
(loop(\(x,i).((((((2 + 2) + 1) * i) * i) div 2) + x),x,0) div 2)
A212980: 0 1 6 17 37 68 113 174 254 355 480 631 811 1022 1267 1548
(loop(\(x,i).((((((i * 2) + 1) * i) + 1) * i) + x),x,0) div 2)
A176060: 0 2 13 46 120 260 497 868 1416 2190 3245 4642 6448 8736 11585 15080
((x - (if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then 0 else 1)) mod 2)
A254114: 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0
((x - (if ((x mod (((2 + 2) + 1) * 2)) - 2) <= 0 then 0 else 1)) mod 2)
A260455: 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0
((x - (if ((x div 2) mod (((x mod 2) + 2) + 2)) <= 0 then 0 else 1)) mod 2)
A131929: 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0
((x - (if ((x mod ((x div 2) + 1)) mod (2 + 2)) <= 0 then 0 else 1)) mod 2)
A327202: 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0
((((x - 1) div (2 + 1)) - (if (x - (2 + 2)) <= 0 then 0 else 1)) mod 2)
A104108: 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1
(((x + 1) div ((if (2 - x) <= 0 then (x mod (2 + 2)) else 0) + 1)) mod 2)
A225145-A129565: 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0
((x - (if (x - ((x * x) mod ((x + 2) + 2))) <= 0 then 0 else 1)) mod 2)
A244735: 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1
((((1 - (x div 2)) mod ((2 + 2) + 1)) + (if x <= 0 then 0 else 1)) mod 2)
A039984: 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1
(((x div (((2 - (x mod 2)) * 2) + 1)) + (if x <= 0 then 0 else 1)) mod 2)
A215581: 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0
((((((x + 1) * x) div 2) * (2 + 1)) - (if x <= 0 then 0 else 1)) div 2)
A024398: 0 1 4 8 14 22 31 41 53 67 82 98 116 136 157 179
(((((((x div 2) * x) + 1) div 2) div 2) + (if x <= 0 then 0 else 1)) mod 2)
A051105: 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1
(if (x mod (((2 + 2) mod ((x div (2 + 1)) + 1)) + 1)) <= 0 then 1 else 2)
A211355-A211353: 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 1
(if ((x - 2) mod (((1 - x) mod ((2 + 2) + 1)) + 1)) <= 0 then 1 else 2)
A091237: 1 1 1 2 2 2 1 1 2 2 1 1 1 2 1 2
(if (((x + 1) * x) mod (((x + 2) div (2 + 1)) + 1)) <= 0 then 1 else 2)
A345238: 1 1 1 1 2 1 1 1 1 2 1 2 2 2 1 1
(if (x mod ((((x div (2 + 1)) * x) mod (2 + 1)) + 1)) <= 0 then 1 else 2)
A300978: 1 1 1 1 1 2 1 2 1 1 1 1 1 2 2 1
(if (x mod (((x div (2 + 2)) * (x div (2 + 1))) + 1)) <= 0 then 1 else 2)
A297774-A043533: 1 1 1 1 1 2 1 2 2 2 2 2 2 1 2 2
(if ((((x * x) * x) + 2) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else 2)
A105446-A058978: 1 1 1 2 1 2 2 1 2 2 2 2 1 2 2 2
((if x <= 0 then 2 else (x mod ((x mod ((x div (2 + 1)) + 1)) + 1))) div 2)
A055334: 1 0 0 0 0 0 0 0 1 0 0 1 0 0 2 1
(if (((x * 2) mod (((x div 2) * (x div 2)) + 1)) - 1) <= 0 then 1 else 2)
A254315: 1 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2
(if (x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2)
A290257-A184304: 1 1 1 1 1 2 1 1 1 2 1 2 2 2 1 1
(((x mod (((if (x mod (2 + 2)) <= 0 then x else 0) - 2) - 1)) + 1) mod 2)
A106602: 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1
(if ((x + 1) mod ((((x - 1) div (2 + 1)) * 2) - 1)) <= 0 then 1 else 2)
A338260: 1 1 1 1 1 1 1 2 1 2 2 2 2 1 2 2
((if x <= 0 then 1 else (x mod ((x mod (((2 + 1) * 2) + 1)) + 1))) mod 2)
A323509: 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1
(loop(\(x,i).((x + 1) * 2),(((x div (2 + 1)) - 2) - 1),1) div 2)
A308923: 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 5
(if (((2 + 1) * x) mod (((x div (2 + 1)) * 2) - 1)) <= 0 then 1 else 2)
A180580: 1 1 1 1 1 1 1 1 1 2 1 2 2 2 1 1
(if ((x + 1) mod (((x - (x mod (2 + 1))) div 2) + 1)) <= 0 then 1 else 2)
A107459: 1 1 1 1 2 1 2 1 2 1 2 2 2 1 2 1
(if ((((2 + 1) * x) + 2) mod (((x + 1) div 2) + 1)) <= 0 then 1 else 2)
A229904: 1 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2
(if (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1)) <= 0 then 1 else 2)
A225180: 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 1
(if ((x + 2) mod (((x div ((2 + 2) * 2)) + 2) + 1)) <= 0 then 1 else 2)
A225515: 2 1 2 2 1 2 2 1 2 2 1 2 2 2 1 2
(if (x mod (((x mod ((x div (2 + 2)) + 2)) div 2) + 1)) <= 0 then 1 else 2)
A184170: 1 1 1 1 1 2 1 1 1 1 1 2 1 2 2 1
(if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 2)
A163994-A154325-A143187: 1 1 1 1 2 1 1 2 2 1 1 2 2 2 1 1
(if (x mod (x - (((x + 2) mod ((2 + 2) * 2)) - 1))) <= 0 then 1 else 2)
A297775-A043534: 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 1
(if (((x * x) * (x - 2)) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 2)
A245936: 1 2 1 1 2 2 1 2 2 1 2 1 1 2 2 1
(if x <= 0 then 1 else (((((x * x) * 2) * ((2 + 2) + 1)) + 1) * 2))
A010010: 1 22 82 182 322 502 722 982 1282 1622 2002 2422 2882 3382 3922 4502
(if (((x mod ((x div 2) + 2)) * x) mod ((2 + 2) + 1)) <= 0 then 1 else 2)
A006513: 1 2 2 1 1 1 2 2 2 2 1 2 2 1 1 1
(if (x - 2) <= 0 then 1 else (((2 mod ((x div (2 + 2)) + 1)) + 1) * 2))
A104588: 1 1 1 2 2 2 2 2 6 6 6 6 6 6 6 6
(((if (((x div 2) - 2) - 2) <= 0 then ((x mod 2) * 2) else 1) + 1) + 2)
A107489: 3 5 3 5 3 5 3 5 3 5 4 4 4 4 4 4
(if (((x * 2) mod (((x div 2) + 2) + 1)) mod (2 + 1)) <= 0 then 1 else 2)
A140816: 1 2 1 2 1 1 1 2 2 2 2 1 1 2 2 1
(if (((((x div 2) * x) + 2) div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 2)
A119469: 1 1 2 2 1 2 1 2 2 1 2 2 1 2 1 2
(if ((x * 2) mod (((x + 2) div (2 + 1)) + (2 + 1))) <= 0 then 1 else 2)
A023575: 1 2 1 2 2 1 2 2 2 1 2 2 2 2 2 2
(if ((((2 - (x div 2)) * x) div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 2)
A073204-A073203: 1 1 1 2 1 1 2 1 1 1 2 2 2 1 1 2
(if x <= 0 then 1 else (((((x * x) * (2 + 1)) * (2 + 1)) + 1) * 2))
A010008: 1 20 74 164 290 452 650 884 1154 1460 1802 2180 2594 3044 3530 4052
(if ((((x * x) + 2) mod ((x div 2) + 1)) mod (2 + 1)) <= 0 then 1 else 2)
A078316: 1 1 1 2 1 1 2 1 2 1 1 1 1 1 1 1
(if (((x div ((2 + 2) + 1)) * (x + 1)) mod (2 + 1)) <= 0 then 1 else 2)
A098398: 1 1 1 1 1 1 2 2 1 2 2 1 2 2 1 1
(if ((x - ((x div (2 + 2)) div (0 - 2))) mod (2 + 1)) <= 0 then 1 else 2)
A082389-A059426: 1 2 2 1 2 1 2 2 1 2 2 1 2 1 2 2
(if ((x mod (((x div 2) mod (2 + 1)) + 2)) mod (2 + 1)) <= 0 then 1 else 2)
A013949: 1 2 2 1 1 2 1 2 2 1 2 1 1 2 2 1
(if x <= 0 then 1 else (((((x * x) * (2 + 2)) * (2 + 1)) + 1) * 2))
A010014: 1 26 98 218 386 602 866 1178 1538 1946 2402 2906 3458 4058 4706 5402
loop(\(x,i).(x * x),(2 + 1),((((x * 2) * (2 + 1)) + 1) * 2))
A017552: 256 1475789056 208827064576 4347792138496 39062500000000 218340105584896 899194740203776 2992179271065856 8507630225817856 21435888100000000 49077072127303936 103953325454500096
loop(\(x,i).((x * x) * x),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017547: 8 2744 17576 54872 125000 238328 405224 636056 941192 1331000 1815848 2406104 3112136 3944312 4913000 6028568
loop(\(x,i).((x * x) * x),2,((((x * 2) * (2 + 1)) + 1) * 2))
A017553: 512 20661046784 5429503678976 165216101262848 1953125000000000 13537086546263552 66540410775079424 257327417311663616 833747762130149888 2357947691000000000 4611686018427387903
((if (2 - x) <= 0 then (((x * x) - (x div 2)) div (2 + 1)) else 1) mod 2)
A325898: 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0
(if ((((x * x) mod ((2 + 2) + 1)) + x) mod (2 + 1)) <= 0 then 1 else 2)
A098396: 1 2 1 2 2 2 2 2 1 2 2 1 2 2 1 1
(((x + 2) div (((if (x - 2) <= 0 then 1 else x) mod (2 + 1)) + 1)) mod 2)
A145099: 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1
(((if x <= 0 then 1 else (x * 2)) div (((1 - x) div (2 + 1)) - 1)) mod 2)
A170977: 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1
(if (x - 2) <= 0 then 1 else ((x div (((1 - x) mod (2 + 1)) + 1)) mod 2))
A336923: 1 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1
(((((if ((x div 2) - 2) <= 0 then x else 1) + x) div (2 + 1)) + 1) mod 2)
A145575: 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0
(((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 1)) + 1) div 2)
A028731: 2 3 5 6 8 11 12 14 15 17
A028794-A028767-A028740: 2 3 5 6 8 11 12 14 15 17 18 20 21 23 24 26
(if (((x div ((x div (2 + 2)) + 2)) + x) mod (2 + 1)) <= 0 then 1 else 2)
A001468: 1 2 1 2 2 1 2 1 2 2 1 2 2 1 2 1
(if ((((x - 2) div ((x div 2) + 2)) + x) mod (2 + 1)) <= 0 then 1 else 2)
A245920: 2 1 2 1 2 2 1 2 1 2 2 1 2 2 1 2
(if (x mod 2) <= 0 then 1 else (0 - ((x div ((x mod (2 + 1)) + 1)) mod 2)))
A182394: 1 0 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 0 1 ~1
((((0 - x) * (x div 2)) div 2) mod (if (x mod (2 + 1)) <= 0 then 1 else 2))
A282317: 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0
(if x <= 0 then 1 else ((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2))
A283265-A174889-A050372-A005171: 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 1
(if (((((x mod 2) + 1) * 2) * 2) mod ((x div 2) + 1)) <= 0 then 1 else 2)
A212632: 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 1
((loop(\(x,i).((i + 1) * x),(x div 2),((x mod 2) + 1)) + 1) div 2)
A187741: 1 1 1 2 3 6 12 24 60 120 360 720 2520 5040 20160 40320
((loop(\(x,i).(i * x),(((x div 2) * (x div 2)) + x),1) + 1) div 2)
A239891: 1 1 3 12 20160
((loop(\(x,i).(((x * x) + 2) * 2),((x div 2) + x),1) + 1) div 2)
A248506: 1 3 5778
(loop(\(x,i).(((x * 2) - 1) * ((2 + 2) + 1)),(x + 1),1) + 2)
A173772: 7 47 447 4447 44447 444447 4444447 44444447 444444447 4444444447 44444444447 444444444447 4444444444447 44444444444447 444444444444447 4444444444444447
(loop(\(x,i).((((x + 1) * 2) + (i + 1)) * 2),(x + 1),1) - 2)
A116971: 10 56 242 988 3974 15920 63706 254852 1019438 4077784 16311170 65244716 260978902 1043915648 4175662634 16702650580
loop(\(x,i).((x * x) * x),1,((((2 + 2) * (x + 1)) - 1) * 2))
A017139: 216 2744 10648 27000 54872 97336 157464 238328 343000 474552 636056 830584 1061208 1331000 1643032 2000376
loop(\(x,i).((x * x) * x),2,((((2 + 2) * (x + 1)) - 1) * 2))
A017145: 10077696 20661046784 1207269217792 19683000000000 165216101262848 922190162669056 3904305912313344 13537086546263552 40353607000000000 106868920913284608 257327417311663616 572994802228616704
(loop(\(x,i).(((x div ((i + 2) + 2)) + x) + 2),(x + 1),1) - 2)
A213510: 1 3 5 7 10 13 16 19 22 25 28 31 34 38 42 46
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x + 1),1) - 2)
A130652: 9 119 1329 14639 161049 1771559 19487169 214358879 2357947689 25937424599 285311670609 3138428376719 34522712143929 379749833583239 4177248169415649 45949729863572159
(loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1) - 2)
A201686: ~1 ~1 0 1 4 8 18 33 68 124 250 460 922 1714 3430 6433
(loop(\(x,i).(((((i + 1) * i) + 2) * i) + x),(x - 1),1) div 2)
A090809: 0 0 2 10 31 75 155 287 490 786 1200 1760 2497 3445 4641 6125
(if x <= 0 then 1 else (((x div (2 - ((x div 2) div (0 - 2)))) + 1) * 2))
A063095: 1 2 2 4 4 4 4 4 6 6 6 6 6 6 6 6
loop(\(x,i).(x * x),1,((((x * 2) - (x div (0 - 2))) + 1) * 2))
A273375: 4 64 144 324 484 784 1024 1444 1764 2304 2704 3364 3844 4624 5184 6084
((if x <= 0 then 2 else (x mod (1 - (x mod ((x div (0 - 2)) - 1))))) div 2)
A025910: 1 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1
(((loop(\(x,i).(x * 2),(x - ((2 + 1) * 2)),1) div 2) + 1) div 2)
A079262: 0 0 0 0 0 0 0 1 1 2 4 8 16 32 64 128
(((loop(\(x,i).(x * 2),(x - ((2 + 2) * 2)),1) div 2) + 1) div 2)
A122265: 0 0 0 0 0 0 0 0 0 1 1 2 4 8 16 32
(((loop(\(x,i).(i + x),(x - ((2 + 2) * 2)),1) div 2) + 1) div 2)
A344625: 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7
(if ((x * 2) mod (((x + 1) mod ((2 + 2) + 1)) + 2)) <= 0 then 1 else 2)
A331348: 1 2 2 1 1 2 1 2 2 1 2 2 2 2 1 1
((if ((((x * x) div 2) - 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + 2)
A188590: 3 3 4 3 3 4 3 3 4 3 3 3 4 3 3 4
(if (((x div 2) div (((2 - x) mod (2 + 2)) + 1)) - 2) <= 0 then 1 else 2)
A328966: 1 1 1 1 1 1 2 1 1 1 2 1 1 2 2 1
(if ((x + 2) mod ((x mod ((x div (2 + 2)) + 1)) + 2)) <= 0 then 1 else 2)
A341765: 1 2 1 2 1 2 1 1 2 2 1 2 1 1 1 2
((if x <= 0 then 1 else (x mod (x - ((x mod ((2 + 1) * 2)) + 1)))) mod 2)
A025903: 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0
((((if x <= 0 then 1 else x) + 1) div (((x div (2 + 1)) * 2) - 1)) mod 2)
A285666: 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 1
((x div (2 - (if (2 - x) <= 0 then ((x mod (2 + 1)) - 2) else 1))) mod 2)
A074871: 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1
((if x <= 0 then 2 else (((x div 2) - ((x mod (2 + 1)) mod 2)) + 1)) div 2)
A025800: 1 0 1 1 1 1 2 1 2 2 2 3 3 3 4 4
((x - ((x div (2 + 2)) - (if (x mod (2 + 1)) <= 0 then 2 else 1))) div 2)
A307152: 1 1 1 2 2 2 3 3 3 4 4 5 5 5 6 7
(((loop(\(x,i).(((i + x) div 2) + x),(x div 2),1) div 2) + 1) div 2)
A103609: 0 0 1 1 1 1 2 2 3 3 5 5 8 8 13 13
(((if x <= 0 then 1 else x) mod ((((2 - (x mod 2)) + 1) * 2) + 1)) mod 2)
A321083: 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0
(((((loop(\(x,i).(x * 2),x,(2 + 1)) + x) + 1) * 2) + 1) * 2)
A250770: 18 34 62 114 214 410 798 1570 3110 6186 12334 24626 49206 98362 196670 393282
loop(\(x,i).(((x div 2) + x) * (x + 2)),(((x + 1) * 2) + 1),2)
A116253: 96012 4611686018427387903 4611686018427387903 4611686018427387903
((((((x * x) + 2) div (x + 2)) * (if x <= 0 then 1 else 2)) + 1) * 2)
A267573: 4 6 6 10 14 14 18 22 26 30 34 38 42 46 50 54
(loop(\(x,i).(x * x),1,((((x div 2) div (0 - 2)) div 2) - 1)) * 2)
A138102: 2 2 8 8 8 8 8 8 8 8 18 18 18 18 18 18
(if ((x mod (((x * 2) mod ((2 + 2) + 1)) + 2)) - 2) <= 0 then 1 else 2)
A279497: 1 1 1 1 2 1 1 1 1 2 1 2 1 1 2 1
(loop(\(x,i).(x * x),x,(((((2 + 2) + 1) * 2) * 2) + 1)) + 2)
A174262: 23 443 194483
((((if x <= 0 then 2 else (x - ((x div (2 + 1)) mod 2))) div 2) + 1) div 2)
A244479: 1 0 1 1 1 1 2 2 2 2 2 3 3 3 4 4
((if x <= 0 then 2 else ((x * 2) mod ((((x + 1) div 2) div 2) + 1))) div 2)
A209287: 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0
(if ((x mod (2 + 1)) - ((((x + 1) div 2) div 2) mod 2)) <= 0 then 1 else 2)
A331349-A000002: 1 2 2 1 1 2 1 2 2 1 2 2 1 1 2 1
(if (x mod 2) <= 0 then 1 else ((((((2 + 2) * 2) * 2) * 2) - 1) * 2))
A110823: 1 62 1
(if ((x mod (((2 - x) mod ((2 + 2) * 2)) + 2)) - 2) <= 0 then 1 else 2)
A025146: 1 1 1 2 2 2 1 1 1 1 1 1 2 2 1 1
(((x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) + 1) mod 2)
A106468: 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0
((((loop(\(x,i).(x * 2),x,1) + ((2 + 2) * 2)) * 2) - 1) * 2)
A250738: 34 38 46 62 94 158 286 542 1054 2078 4126 8222 16414 32798 65566 131102
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) * 2) * 2) + 1)) div 2)
A120137: 8 12 18 27 41 61 92 138 207 310 465 698 1047 1570 2355 3533
(x - (((x div 2) - (if ((x div (2 + 2)) - 2) <= 0 then 2 else 1)) div 2))
A072894: 1 2 3 4 4 5 6 7 7 8 9 10 10 11 11 12
(if x <= 0 then 1 else ((((((x * x) * (2 + 2)) * 2) * 2) + 1) * 2))
A010021: 1 34 130 290 514 802 1154 1570 2050 2594 3202 3874 4610 5410 6274 7202
(if ((((x * x) div 2) mod (((x div 2) + 2) + 2)) - 2) <= 0 then 1 else 2)
A281007-A023589: 1 1 1 2 1 1 2 2 1 1 2 2 1 2 2 1
(if (((1 - (x * x)) mod (((x div 2) + 2) + 2)) - 2) <= 0 then 1 else 2)
A002637: 1 1 1 1 2 1 1 1 1 1 1 2 2 1 2 2
(loop(\(x,i).((x * 2) * 2),(x + 1),(((2 + 2) * 2) + 1)) + 2)
A164093: 38 146 578 2306 9218 36866 147458 589826 2359298 9437186 37748738 150994946 603979778 2415919106 9663676418 38654705666
(loop(\(x,i).((x * 2) * 2),(x + 1),(((2 + 2) * 2) + 1)) - 2)
A153465: 34 142 574 2302 9214 36862 147454 589822 2359294 9437182 37748734 150994942 603979774 2415919102 9663676414 38654705662
(if (x - 2) <= 0 then 1 else (((x * 2) div (((2 + 2) * 2) + 1)) + 2))
A061555: 1 1 1 2 2 3 3 3 3 4 4 4 4 4 5 5
(((x div ((if (x mod 2) <= 0 then 2 else x) - ((2 + 2) * 2))) - 1) mod 2)
A025890: 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1
(((if x <= 0 then 1 else (((x + 2) * x) div ((2 + 2) * 2))) + 1) div 2)
A062419: 1 0 1 1 2 2 3 4 5 6 8 9 11 12 14 16
(x - ((x - loop(\(x,i).(i * 2),(x - ((2 + 2) * 2)),1)) div 2))
A029028: 1 1 2 2 3 3 4 4 5 6 7 9 10 12 13 15
((if x <= 0 then 1 else x) - ((((x * x) div ((2 + 2) * 2)) + 1) div 2))
A341155: 1 1 2 2 3 3 4 4 4 4 4 3 3 2 2 1
(if (((x + 2) + 1) mod (((1 - x) mod (2 + 2)) + 2)) <= 0 then 1 else 2)
A078377: 1 1 1 2 2 1 2 2 2 1 2 2 1 1 2 2
(if x <= 0 then 1 else ((x div (((x - (x div (2 + 2))) div 2) + 1)) * 2))
A335901: 1 2 2 2 4 2 4 2 4 4 4 4 4 4 4 4
(if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 1 else 2)
A238303: 1 1 2 1 2 2 1 2 2 2 1 2 2 2 2 1
((x + 2) - ((1 - x) div ((if ((x div 2) - 2) <= 0 then 2 else 1) + 2)))
A028801: 2 3 5 6 7 8 10 11 13 14 15 17 18 19 21 22
(loop(\(x,i).(x * 2),(x div 2),((((x mod 2) + 2) * 2) + 1)) * 2)
A063920: 10 14 20 28 40 56 80 112 160 224 320 448 640 896 1280 1792
(if x <= 0 then 1 else (((((x mod (2 + 1)) - 1) mod (2 + 2)) + 1) * 2))
A222011: 1 2 4 8
A167420: 1 2 4 8 2 4 8 2 4 8 2 4 8 2 4 8
(if ((x mod (1 - ((2 + 2) * (2 + 1)))) mod (2 + 2)) <= 0 then 1 else 2)
A080757: 1 2 2 1 2 2 2 1 2 2 2 1 2 2 1 2
(if ((((x - 1) div 2) * (x mod (2 + 1))) mod (2 + 2)) <= 0 then 1 else 2)
A046219: 1 1 1 1 2 1 1 2 2 1 1 2 1 2 1 1
(if (((x - (2 + 1)) mod ((x div 2) + 1)) mod (2 + 2)) <= 0 then 1 else 2)
A082071-A082070-A082065: 1 1 2 1 2 2 2 1 1 2 2 2 2 2 2 1
((loop(\(x,i).((x + 1) * (2 + 1)),(x * 2),(2 + 2)) + 1) * 2)
A198968: 10 98 890 8018 72170 649538 5845850 52612658 473513930 4261625378 38354628410 345191655698 3106724901290 27960524111618 251644717004570 2264802453041138
(((if (2 - (x div (2 + 2))) <= 0 then (x div 2) else (2 + 2)) + 1) * 2)
A109751: 10 10 10 10 10 10 10 10 10 10 12 12 14 14 16 16
(if x <= 0 then 1 else ((((x * x) * (2 + 1)) * ((2 + 2) + 1)) + 2))
A010005: 1 17 62 137 242 377 542 737 962 1217 1502 1817 2162 2537 2942 3377
(((if ((x div 2) - 2) <= 0 then x else (x + 1)) mod ((2 + 2) + 1)) mod 2)
A157687: 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1
(if x <= 0 then 1 else (((((x * 2) * 2) * 2) div ((2 + 2) + 1)) + 2))
A184734-A184582: 1 3 5 6 8 10 11 13 14 16 18 19 21 22 24 26
(loop(\(x,i).(((x + 2) + 1) * 2),(x + 2),((2 + 2) + 1)) * 2)
A099944: 76 164 340 692 1396 2804 5620 11252 22516 45044 90100 180212 360436 720884 1441780 2883572
(if (x - 1) <= 0 then x else ((((x * x) * 2) div ((2 + 2) + 1)) + 2))
A094913: 0 1 3 5 8 12 16 21 27 34 42 50 59 69 80 92
((if (x mod 2) <= 0 then (1 - x) else (x + 2)) mod (((2 + 2) + 1) * 2))
A285264: 1 3 9 5 7
A106586: 1 3 9 5 7 7 5 9 3 1 1 3 9 5 7 7
(x - loop(\(x,i).((1 - x) * x),1,(x mod (((2 + 2) + 1) * 2))))
A068522: 0 1 4 9 16 25 36 49 64 81 10 11 14 19 26 35
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,(((2 + 2) + 1) * 2))
A145184: 10 1030 1092730090 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - (2 + 1)) * x),x,(((2 + 2) + 1) * 2))
A006242: 10 970 912670090 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,(((2 + 2) + 1) * 2))
A198770: 10 54 274 1374 6874 34374 171874 859374 4296874 21484374 107421874 537109374 2685546874 13427734374 67138671874 335693359374
((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) mod ((2 + 2) + 1)) mod 2)
A284471: 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0
(if x <= 0 then 1 else ((((x mod (2 + 1)) + x) div ((2 + 2) + 1)) + 2))
A331255: 1 2 2 2 3 3 3 3 4 3 4 4 4 4 5 5
(x - ((if (((x div 2) - 2) - 2) <= 0 then x else ((2 + 2) + 1)) * 2))
A187844: 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~8 ~9 0 1 2 3 4 5
(if x <= 0 then 1 else (((x * 2) - ((2 - x) div ((2 + 2) + 1))) * 2))
A312475: 1 4 8 14 18 22 26 30 36 40 44 48 52 58 62 66
(if x <= 0 then 2 else (x - ((((x mod 2) + x) div ((2 + 2) + 1)) * 2)))
A320581: 2 1 2 3 4 3 4 5 6 5 6 7 8 9 10
(((if (x mod (2 + 2)) <= 0 then 1 else 2) + (x div ((2 + 2) + 1))) div 2)
A339383: 0 1 1 1 0 1 1 1 1 1 2 2 1 2 2 2
(loop(\(x,i).((x div ((2 + 2) + 1)) + x),x,((2 + 2) + 1)) * 2)
A055983: 10 12 14 16 18 20 24 28 32 38 44 52 62 74 88 104
((if x <= 0 then 2 else ((x div 2) mod (((0 - x) mod (2 + 2)) + 1))) div 2)
A339366: 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0
((x mod (((if (x mod 2) <= 0 then 2 else 0) + (x div (2 + 2))) + 1)) div 2)
A309766: 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 1
(if (x - 1) <= 0 then 2 else (((x + 1) mod ((x div (2 + 2)) + 1)) mod 2))
A316342: 2 2 0 0 1 0 1 0 0 1 0 0 1 0 1 0
((x - (if (x - 2) <= 0 then 1 else (x mod ((x div (2 + 2)) + 1)))) mod 2)
A258769: 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0
(((x mod ((2 + 2) + 1)) + 1) * (if (x mod (2 + 2)) <= 0 then 1 else 2))
A231407: 1 4 6
A331059: 1 4 6 8 5 2
(((((x - 1) div 2) div 2) + 1) * (if (x mod (2 + 2)) <= 0 then 1 else 2))
A131308: 0 2 2 2 1 4 4 4 2 6 6 6 3 8 8 8
((if x <= 0 then 1 else (x mod (((((x div 2) * x) mod 2) - 2) - 1))) mod 2)
A300185: 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1
((loop(\(x,i).(x * 2),(x - 1),x) * (((x + 2) + 2) + 1)) div 2)
A176027: 0 3 14 48 144 400 1056 2688 6656 16128 38400 90112 208896 479232 1089536 2457600
((loop(\(x,i).((i + 2) * x),x,x) * (((x + 2) + 2) + 1)) div 2)
A272582: 0 9 84 720 6480 63000 665280 7620480 94348800 1257379200 17962560000 273988915200 4446092851200 76498950528000 1391365527552000 26676557107200000
((if (x - 2) <= 0 then 1 else ((x * x) div (((x + 2) * 2) + 1))) mod 2)
A109409-A097806: 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) * 2) + 1) * 2)))
A017012: 256 43046721 4294967296 78310985281 656100000000 3512479453921 14048223625216 45767944570401 128063081718016 318644812890625 722204136308736 1517108809906561 2992179271065856 5595818096650401
(if x <= 0 then 1 else (((((x mod (2 + 1)) * (x div 2)) mod 2) + 1) * 2))
A100007: 1 2 2 2 2 2 2 4 2 2 4 2 2 2 2 2
((if x <= 0 then 2 else ((((0 - x) * 2) mod ((x div 2) + 2)) + 1)) mod 2)
A257799: 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1
(if x <= 0 then 1 else ((((2 + 1) * x) div (((x div 2) + 2) + 1)) + 2))
A130253: 1 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6
(((if x <= 0 then 1 else x) mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)
A327517-A322452-A318721-A080732: 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0
((if x <= 0 then 1 else (x div (2 - (x div (((x div 2) mod 2) + 1))))) mod 2)
A342025: 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1
(x div (((if ((x div (2 + 1)) - 2) <= 0 then (x mod 2) else 2) + 1) + 2))
A331973: 0 0 0 0 1 1 2 1 2 1 2 2 2 2 2 3
((loop(\(x,i).(x * x),1,(((x * 2) - (x mod 2)) + 2)) + 1) * 2)
A276764: 10 20 74 100 202 244 394 452 650 724 970 1060 1354 1460 1802 1924
(((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + 1) div (2 + 1)) * 2)
A132804: 0 6 42 342 2730 21846 174762 1398102 11184810 89478486 715827882 5726623062 45812984490 366503875926 2932031007402 23456248059222
(((if x <= 0 then 1 else (x div (((2 + 1) * 2) + 1))) * (2 + 1)) div 2)
A245147: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 3 3
(if x <= 0 then 1 else ((((((x * 2) * 2) * 2) + 1) div (2 + 1)) * 2))
A301694: 1 6 10 16 22 26 32 38 42 48 54 58 64 70 74 80
(loop(\(x,i).(1 - x),(x - 1),((x mod (2 + 1)) * (2 + 1))) div 2)
A133513: 0 1 ~3 0 ~1 3 0 1 ~3 0 ~1 3 0 1 ~3 0
(((if x <= 0 then 1 else (((2 - x) * x) div (2 + 1))) mod (2 + 1)) mod 2)
A027345: 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1
(((loop(\(x,i).(((x * 2) * 2) * 2),x,2) + 1) div (2 + 1)) * 2)
A132397: 2 10 86 682 5462 43690 349526 2796202 22369622 178956970 1431655766 11453246122 91625968982 733007751850 5864062014806 46912496118442
((((if (x mod (2 + 2)) <= 0 then x else (x div 2)) - 1) div (2 + 1)) mod 2)
A127239: 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0
(((if x <= 0 then 1 else (x div (2 + 1))) * ((x - 1) mod (2 + 1))) div 2)
A029297: 1 0 0 1 0 0 2 0 1 3 0 1 4 0 2 5
(if (x - 1) <= 0 then 0 else ((((x mod (2 + 1)) mod 2) * (2 + 1)) + 2))
A021448: 0 0 2 2 5 2 2 5 2 2 5 2 2 5 2 2
(((loop(\(x,i).((2 + 1) * x),(x * 2),1) + 2) * (2 + 1)) + 2)
A224790: 11 35 251 2195 19691 177155 1594331 14348915 129140171 1162261475 10460353211 94143178835 847288609451 7625597484995 68630377364891 617673396283955
((((if x <= 0 then 2 else (((x + 1) div 2) div 2)) div 2) * (2 + 1)) div 2)
A339108: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 3
((loop(\(x,i).((x * 2) + 1),x,((2 + 2) * 2)) * (2 + 1)) - 2)
A304387: 22 49 103 211 427 859 1723 3451 6907 13819 27643 55291 110587 221179 442363 884731
((((loop(\(x,i).((i + x) * i),x,2) div 2) + 2) mod (2 + 1)) * 2)
A072680: 0 0 2 0 2 0 4 4 4 0 2 0 4 4 4 0
(if (x - 2) <= 0 then (x - 2) else ((((x div 2) * 2) div (2 + 1)) + 2))
A061009: ~2 ~1 0 2 3 3 4 4 4 4 5 5 6 6 6 6
(((loop(\(x,i).(x * 2),x,2) div ((x mod 2) + 2)) * (2 + 1)) div 2)
A282005: 1 1 6 7 24 31 96 127 384 511 1536 2047 6144 8191 24576 32767
(((((x * x) div 2) - ((if x <= 0 then 1 else x) mod 2)) div (2 + 1)) + 2)
A008749: 1 1 2 3 4 5 8 9 12 15 18 21 26 29 34 39
(if x <= 0 then 1 else (((x - (((x div 2) * x) mod 2)) div (2 + 1)) + 2))
A087739: 1 2 2 2 3 3 4 4 4 5 5 5 6 6 6 6
loop(\(x,i).((2 + 1) * x),x,(1 - (((x * 2) div (2 + 1)) * 2)))
A171557: 1 3 ~9 ~81 ~243 ~1215 ~5103 ~15309 ~59049 ~216513 ~649539 ~2302911 ~7971615 ~23914845 ~81310473 ~272629233
(if x <= 0 then 0 else (1 - ((1 - x) div (((x div 2) div (2 + 1)) + 2))))
A265340: 0 1 2 2 3 3 3 3 4 4 4 5 4 4 5 5
(if (x mod (2 + 1)) <= 0 then 2 else ((x - ((x div 2) div (2 + 1))) mod 2))
A321102: 2 1 0 2 0 1 2 0 1 2 1 0 2 1 0 2
((loop(\(x,i).((x div ((x mod 2) + 2)) + x),x,2) div (2 + 1)) * 2)
A091915: 0 2 2 4 6 8 12 18 24 36 54 72 108 162 216 324
(2 - (if x <= 0 then 1 else ((x - (((x * x) div 2) * (2 + 1))) div 2)))
A267529: 1 2 4 7 12 18 26 35 46 58 72 87 104 122 142 163
(((1 - x) mod ((if x <= 0 then 2 else 0) - (2 + 1))) mod ((2 + 1) * 2))
A021189: 0 0 5 4 0 5 4 0 5 4 0 5 4 0 5 4
(((if x <= 0 then 1 else 0) - ((1 - x) mod (2 + 1))) mod ((2 + 1) * 2))
A021226: 0 0 4 5 0 4 5 0 4 5 0 4 5 0 4 5
(if ((2 + 2) mod (x + 1)) <= 0 then ((x * 2) + 1) else ((2 + 1) * 2))
A329516: 1 3 6 7 6 6 6 6 6 6 6 6 6 6 6 6
loop(\(x,i).(((x * x) - (2 + 1)) * x),(x + 1),((2 + 1) * 2))
A006243: 198 7761798 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + ((2 + 1) * 2))
A253210: 7 13 55 349 2407 16813 117655 823549 5764807 40353613 282475255 1977326749 13841287207 96889010413 678223072855 4747561509949
loop(\(x,i).((x * x) * (i + 2)),((x + 1) * 2),((2 + 1) * 2))
A132642: 46656 4611686018427387903
((x - (if x <= 0 then 1 else (x div ((2 + 2) * 2)))) + ((2 + 1) * 2))
A302980: 5 7 8 9 10 11 12 13 13 14
(x - ((if x <= 0 then 1 else x) div ((x div (2 + 2)) - ((2 + 1) * 2))))
A176845: 1 2 3 4 5 6 8 9 10 12 13 14 16 18 19 20
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + ((2 + 1) * 2))
A209724: 8 9 10 12 14 18 22 30 38 54 70 102 134 198 262 390
((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) * (x mod ((2 + 1) * 2)))
A309957: 0 1 2 3 4 5 0 1 2 3 4 5 0 2 4 6
loop(\(x,i).(((x div ((2 + 2) + 1)) + 1) * x),x,((2 + 1) * 2))
A117596: 6 12 36 288 16704 55808064 622908012647232 4611686018427387903 4611686018427387903 4611686018427387903
(((if (((x div 2) + 2) mod (2 + 2)) <= 0 then 1 else x) mod (2 + 1)) mod 2)
A337546-A157238-A059448: 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0
(((if ((x * 2) mod ((x div 2) + 2)) <= 0 then 1 else x) mod (2 + 1)) mod 2)
A286801-A123594: 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0
loop(\(x,i).(x * x),(2 + 1),((((2 + 1) * x) * (2 + 1)) + 2))
A017192: 256 214358881 25600000000 500246412961 4347792138496 23811286661761 96717311574016 318644812890625 899194740203776 2252292232139041 5132188731375616 10828567056280801 21435888100000000 40213853471634241
loop(\(x,i).((x * x) * x),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017187: 8 1331 8000 24389 54872 103823 175616 274625 405224 571787 778688 1030301 1331000 1685159 2097152 2571353
loop(\(x,i).((x * x) * x),2,((((2 + 1) * x) * (2 + 1)) + 2))
A017193: 512 2357947691 512000000000 14507145975869 165216101262848 1119130473102767 5416169448144896 20711912837890625 66540410775079424 186940255267540403 472161363286556672 1093685272684360901
(((x div (2 + 2)) - ((if (x - 2) <= 0 then 1 else x) mod (2 + 1))) mod 2)
A123272: 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1
(if x <= 0 then 1 else ((((((x * x) * 2) + 1) * x) div (2 + 1)) + 2))
A179903: 1 3 8 21 46 87 148 233 346 491 672 893 1158 1471 1836 2257
((loop(\(x,i).(((x * 2) * 2) - 1),(x + 1),x) div (2 + 1)) + 2)
A088582: 1 5 37 229 1253 6373 30949 145637 669925 3029221 13514981 59652325 260978917 1133394149 4891490533 20997617893
((((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x) * (2 + 1)) div 2)
A225647: 1 3 4 6 7
A330176: 1 3 4 6 7 9 10 12 13 16 18 19 21 22 24 25
((x mod ((if ((x div (2 + 2)) - 2) <= 0 then 2 else x) * (2 + 1))) * 2)
A004522: 0 2 4 6 8 10 0 2 4 6 8 10 24 26 28 30
((loop(\(x,i).i,(x div (2 + 2)),1) * ((2 - x) mod (2 + 1))) div 2)
A029323: 1 0 0 1 0 0 1 0 0 2 1 0 3 1 0 3
(((((if (x - (2 + 2)) <= 0 then 1 else x) * 2) + x) + (2 + 1)) * 2)
A092132: 10 12 14 16 18 36 42
(if x <= 0 then 1 else ((x - ((((2 - x) div 2) - x) * (2 + 1))) div 2))
A195669: 1 2 4 7 9 13 15 18 20
(loop(\(x,i).(((x div 2) mod (2 + 1)) - (x * 2)),x,(2 + 1)) div 2)
A279634: 1 ~3 5 ~9 18 ~36 72 ~144 288 ~576 1152 ~2304 4608 ~9216 18432 ~36864
(if (x - 1) <= 0 then x else ((x - (((x div 2) * x) div (2 + 1))) div 2))
A292052: 0 1 1 1 1 1 0 0 ~1 ~2 ~3 ~4 ~6 ~7 ~9 ~10
(((if x <= 0 then 1 else x) + 1) mod ((((x mod 2) + x) div (2 + 1)) + 2))
A073438: 0 0 1 1 2 2 3 0 1 0 1 0 1 2 3 2
((((if (((2 + 2) * 2) - x) <= 0 then x else 2) + x) div (2 + 1)) mod 2)
A051067: 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 0
(((if x <= 0 then 2 else (x div ((x mod 2) + 1))) - (x div (2 + 1))) div 2)
A029220: 1 0 1 0 1 0 2 0 3 0 3 1 4 1 5 1
(2 - (((2 - x) * 2) div ((if x <= 0 then 1 else (x div (2 + 1))) + 2)))
A239683: 1 1 2 3 4 4 4 5 5 5 6 6 6 6 6 6
loop(\(x,i).(x * 2),((((2 + 1) * x) + 2) + (x div (2 + 1))),2)
A074116-A074113: 8 64 512 8192 65536 524288 8388608 67108864 536870912 8589934592 68719476736 549755813888 8796093022208 70368744177664 562949953421312 9007199254740992
(if x <= 0 then 1 else ((((x mod 2) + (x * 2)) - (x div (2 + 1))) * 2))
A063207: 1 6 8 12 14 20 20 26 28 32 34 40 40 46 48 52
(((if (x - (2 + 2)) <= 0 then 1 else (x div 2)) + (x div (2 + 1))) mod 2)
A115361: 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0
(((((if (x - 2) <= 0 then 1 else x) + x) * 2) - (x div (2 + 1))) div 2)
A258037: 1 2 3 5 7 9 11 13 15 16 18 20 22 24 26 27
((if ((x div 2) - 2) <= 0 then 2 else (x - 2)) div ((x div (2 + 1)) + 2))
A186726: 1 1 1 0 0 0 1 1 1 1 1 1 1 1 2 1
(if x <= 0 then 1 else (((((2 + 2) + 1) * x) - (x div (2 + 1))) * 2))
A063117: 1 10 20 28 38 48 56 66 76 84 94 104 112 122 132 140
(((if (x - 2) <= 0 then 1 else ((x mod 2) + 2)) + (x mod (2 + 1))) div 2)
A097867: 0 1 1 1 1 2 1 2 2 1 1 2 1 2 2 1
((if (x mod 2) <= 0 then 1 else (x div (2 + 1))) * ((x mod (2 + 1)) div 2))
A233286: 0 0 1 0 0 1 0 0 1 0 0 3 0 0 1 0
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * ((x mod (2 + 1)) div 2))
A116373: 0 0 1 0 0 1 0 0 1 0 0 2 0 0 2 0
((2 - ((if (x - 2) <= 0 then 1 else x) mod 2)) + ((x mod (2 + 1)) div 2))
A239140: 1 1 2 1 2 2 2 1 3 1 2 2 2 1 3 1
(((if (x - 2) <= 0 then 1 else 2) + (x mod 2)) + ((x mod (2 + 1)) div 2))
A217984: 1 2 2 3 2 4 2 3 3 3 2 4 2 3 3 3
loop(\(x,i).(x * 2),(x div (2 + 1)),(2 - ((x mod (2 + 1)) mod 2)))
A060547: 2 1 2 4 2 4 8 4 8 16 8 16 32 16 32 64
(loop(\(x,i).(((((2 + 2) * 2) + i) + 2) * x),x,(2 + 1)) * 2)
A267141: 6 66 792 10296 144144 2162160 34594560 588107520 10585935360 201132771840 4022655436800 84475764172800 1858466811801600 42744736671436800 1025873680114483200 4611686018427387903
(((if x <= 0 then 1 else ((((1 - x) div (2 + 1)) * x) div 2)) + 1) mod 2)
A334820: 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1
(if x <= 0 then 1 else (((((x div ((2 + 2) * 2)) + x) * 2) - 1) * 2))
A182991: 1 2 6 10 14 18 22 26 34 38 42 46 50 54 58 62
((((if ((x div 2) mod ((x mod 2) + 2)) <= 0 then 2 else x) div 2) + 1) div 2)
A060240: 1 1 1 1 1 1 2 1 1 2 3 3 1 1 4 4
(((loop(\(x,i).(x * 2),x,(((x + 2) * 2) + x)) div 2) + 1) div 2)
A133086: 1 4 10 26 64 152 352 800 1792 3968 8704 18944 40960 88064 188416 401408
(((((((2 + 2) div (if x <= 0 then 1 else x)) mod 2) + x) + 2) + 1) div 2)
A138161: 1 2 2 3 4 4 4 5 5
A112325: 1 2 2 3 4 4 4 5 5 6 6 7 7 8 8 9
(loop(\(x,i).((((x * 2) * 2) + (x div 2)) * 2),(x + 2),1) * 2)
A203819: 144 1296 11664 104976 944784 8503056 76527504 688747536 6198727824 55788550416 502096953744 4518872583696 40669853253264 366028679279376 3294258113514384 29648323021629456
(loop(\(x,i).((((x * 2) * 2) - (x div 2)) * 2),(x + 2),1) * 2)
A203789: 112 784 5488 38416 268912 1882384 13176688 92236816 645657712 4519603984 31637227888 221460595216 1550224166512 10851569165584 75960984159088 531726889113616
((if x <= 0 then 1 else (((x * x) * (x + 1)) div ((x + 2) + 1))) mod 2)
A339375-A202108: 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0
((x div 2) - (loop(\(x,i).((x - (i div 2)) * 2),(x - 2),1) div 2))
A328284: 0 0 1 0 1 1 3 5 11 21 43 85 171 341 683 1365
(1 - ((x div (((0 - 2) - 2) - 1)) * (if (x - 2) <= 0 then 1 else 2)))
A175944: 1 2 2 3 3 3 5 5 5 5 5 7 7 7 7 7
(((((2 + 2) * 2) + x) * (2 + 1)) + (if (x - 2) <= 0 then 1 else 2))
A295748: 25 28 31 35
(x - (((((x div 2) mod 2) - x) div 2) - (if (x - 2) <= 0 then 1 else 2)))
A175071: 1 3 4 6 8 10 11 12 14 16 17 18 20 22 23 24
((if x <= 0 then 1 else ((x * x) mod (((x div 2) + (x * 2)) + 1))) mod 2)
A213719: 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),((x * 2) + 1),2)
A013832: 64 65536 67108864 68719476736 70368744177664 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) + 1) * 2))
A016829: 32 7776 100000 537824 1889568 5153632 11881376 24300000 45435424 79235168 130691232 205962976 312500000 459165024 656356768 916132832
loop(\(x,i).(x * x),1,((x div (0 - 2)) - (((x * 2) + 1) * 2)))
A061100: 4 49 121 256 400 625 841 1156 1444 1849 2209 2704 3136 3721 4225 4900
(((loop(\(x,i).(((i div 2) + 1) * x),x,1) + (x div 2)) + 1) div 2)
A110887: 1 1 2 3 7 19 74
((x + 1) div ((if (((x div 2) * x) mod 2) <= 0 then (x div 2) else 1) + 2))
A299203: 0 1 1 1 1 1 1 2 1 1 1 4 1 1 1 5
((if x <= 0 then 2 else (x - (((1 - (x div 2)) * (x div 2)) - 1))) div 2)
A055802: 1 1 1 2 3 4 6 7 10 11 15 16 21 22 28 29
(if x <= 0 then 1 else (((((x + 2) * x) - 1) div ((x div 2) + 1)) * 2))
A231407: 1 4 6
A296910: 1 4 6 14 14 22 22 30 30 38 38 46 46 54 54 62
((((if (x mod 2) <= 0 then 2 else 0) + (x div 2)) * ((x div 2) + 1)) div 2)
A008795: 1 0 3 1 6 3 10 6 15 10 21 15 28 21 36 28
(((if (x mod (2 + 2)) <= 0 then 2 else 0) + x) + (((x div 2) + 1) div 2))
A160186: 2 1 3 4 7 6 8 9 12 11 13 14 17 16 18 19
(((if (x mod 2) <= 0 then (x div 2) else (1 - x)) * ((x div 2) + 1)) div 2)
A131259: 0 0 1 ~2 3 ~6 6 ~12 10 ~20 15 ~30 21 ~42 28 ~56
(loop(\(x,i).(((i * i) div (2 + 1)) + x),x,((x div 2) + 1)) div 2)
A173691: 0 0 1 3 6 10 16 24 35 49 66 86 110 138 171 209
(2 - (if ((x div (2 + 1)) - 2) <= 0 then 2 else (((x div 2) - 1) div 2)))
A286134: 0 0 0 0 0 0 0 0 0 1 0 0 0 0 ~1 ~1
(if ((((x div (2 + 1)) * x) mod (2 + 1)) - (x mod 2)) <= 0 then 1 else 2)
A059689: 1 1 1 1 2 2 1 2 2 1 1 1 1 1 2 1
(if (x - 1) <= 0 then 1 else ((((x + 1) div 2) div ((x mod 2) + 1)) * 2))
A185048: 1 1 2 2 4 2 6 4 8 4 10 6 12 6 14 8
((((((if (x - (2 + 2)) <= 0 then 2 else 1) + x) * x) div 2) + 1) div 2)
A321531: 0 1 2 4 6 8 11 14 18 23
(((loop(\(x,i).(((i + 1) * x) + 2),(x - 1),1) + x) + 1) div 2)
A089475: 1 1 3 9 31 149
loop(\(x,i).(x * x),(2 + 1),(((((2 + 2) + 1) * x) + 1) * 2))
A017300: 256 429981696 54875873536 1099511627776 9682651996416 53459728531456 218340105584896 722204136308736 2044140858654976 5132188731375616 11716593810022656 24759631762948096 49077072127303936
loop(\(x,i).((x * x) * x),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017295: 8 1728 10648 32768 74088 140608 238328 373248 551368 778688 1061208 1404928 1815848 2299968 2863288 3511808
loop(\(x,i).((x * x) * x),2,(((((2 + 2) + 1) * x) + 1) * 2))
A017301: 512 5159780352 1207269217792 35184372088832 406671383849472 2779905883635712 13537086546263552 51998697814228992 167619550409708032 472161363286556672 1195092568622310912 2773078757450186752
(loop(\(x,i).(x div ((x mod 2) + 1)),x,(((2 + 1) * x) + 1)) div 2)
A173732: 0 2 0 5 3 8 2 11 6 14 0 17 9 20 5 23
((loop(\(x,i).(x * 2),(x - 1),x) * (((2 + 1) * x) - 1)) div 2)
A084857: 0 1 10 48 176 560 1632 4480 11776 29952 74240 180224 430080 1011712 2351104 5406720
(loop(\(x,i).((((x * 2) - (i mod 2)) + (x mod 2)) - 1),x,1) div 2)
A115851: 0 0 1 1 1 2 5 9 17 34 69 137 273 546 1093 2185
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) div 2)
A092679: 0 1 5 17
A301560: 0 1 5 17 63 231 858 3217 12155 46189 176358 676039 2600150 10029150 38779380 150270097
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1) * 2)
A001747: 2 4 6 10 14 22 26 34 38 46 58 62 74 82 86 94
(loop(\(x,i).((2 + 1) * x),(x + 1),(((x + 1) * x) + 1)) div 2)
A153703: 1 13 94 526 2551 11299 47020 186988 718429 2686729 9831658 35340826 125154355 437641663 1513809688 5187129880
((loop(\(x,i).((((i mod 2) + x) * 2) + x),(x - 1),x) + 1) div 2)
A119916: 0 1 4 17 64 233 820 2825 9568 31985 105796 346913 1129312 3653657 11758132 37665881
(((((x + 2) mod ((2 + 1) * 2)) mod (if x <= 0 then 1 else x)) + 1) div 2)
A139365: 0 0 0 1 0 1 1 2 2 3 0 1 1 2 2 3
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - 2)
A120304: ~1 ~1 0 3 12 40 130 427 1428 4860 16794 58784 208010 742898 2674438 9694843
((if (x - 1) <= 0 then 1 else ((((x mod (2 + 1)) div 2) + x) - 1)) * 2)
A264788: 2 2 4 4 6 10 10 12 16 16 18 22 22 24 28 28
(loop(\(x,i).((((((i mod 2) + x) * 2) + x) - 1) * 2),x,1) * 2)
A220932: 2 16 92 556 3332 19996 119972 719836 4319012 25914076 155484452 932906716 5597440292 33584641756 201507850532 1209047103196
((loop(\(x,i).i,(x div (((x mod (2 + 1)) div 2) + 2)),x) + 1) div 2)
A193676: 0 1 1 1 1 1 2 2 1 2 3 2 3 3 2 4
(if (x - (((x * x) * x) mod (((2 + 2) * 2) + x))) <= 0 then 1 else 2)
A273134: 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 1
(loop(\(x,i).(((x div (((i * 2) * 2) + 1)) + x) * 2),x,1) div 2)
A182442: 0 1 2 4 8 16 33 68 140 287 588 1202 2453 4998 10171 20675
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) * 2)
A037168: 2 4 8 12 20 24 32 36 44 56 60 72 80 84 92 104
(loop(\(x,i).((x * x) * (2 + 1)),2,(((x + 2) * x) + 1)) * 2)
A085482: 54 13824 354294 3538944 21093750 90699264 311299254 905969664 2324522934 5400000000 11575379574 23219011584 44049458934 79692609024 138396093750 231928233984
((((if (x mod (2 + 2)) <= 0 then (x * 2) else (x div 2)) + x) + 1) div 2)
A028390: 0 1 2 2 6 4 5 5 12 7 8 8 18 10 11 11
(((loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) + x) + 1) * 2)
A079946: 6 12 14 24 26 28 30 48 50 52 54 56 58 60 62 96
loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),(x + 1),2)
A290425: 23 233 2333 23333
(((if (x mod 2) <= 0 then ((x mod (2 + 2)) + 2) else 1) * (x + 1)) div 2)
A062828: 1 1 6 2 5 3 14 4 9 5 22 6 13 7 30 8
(compr(\x.((loop(\(x,i).(x * 2),x,2) mod (x + 2)) - 1),(x + 1)) + 2)
A066542: 3 4 5 7 8 11 13 16 17 19 23 29 31 32 37 41
((loop(\(x,i).(((i * x) + (x div 2)) * 2),x,1) * (x + 1)) * 2)
A208124: 2 8 60 560 6300 83160 1261260 21621600 413513100 8729721000 201656555100 5059746291600 137034795397500 3984550204635000 123805667072587500 4093840724533560000
((x - ((2 - ((x div 2) - (if x <= 0 then 0 else 2))) div (x + 1))) + 2)
A048293: 0 1 3 5 6 7 8 9 10 11 13 14 15 16 17 18
(loop(\(x,i).(((x * x) * x) + 2),((x + 1) * 2),(x + 1)) * 2)
A116115-A116103: 58 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then 2 else (x mod ((0 - 2) - 2))) * (x + 1)) div 2)
A186111: 1 ~3 3 ~2 5 ~9 7 ~4 9 ~15 11 ~6 13 ~21 15 ~8
(if x <= 0 then 1 else ((2 div ((((2 + 2) * 2) * 2) div (x + 1))) + 2))
A087181: 1 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4
(((if (x mod ((2 + 1) * 2)) <= 0 then (x div 2) else 2) mod (x + 1)) div 2)
A317624: 0 0 1 1 1 1 1 1 1 1 1 1 3 1 1 1
(loop(\(x,i).((x - ((2 - x) div 2)) * (x div 2)),2,(x + 1)) div 2)
A145920: 0 1 5 35 70 210 330 715 1001 1820 2380 3876 4845 7315 8855 12650
(((((if (x mod 2) <= 0 then (x * 2) else 0) + x) + 2) * (x + 1)) div 2)
A110345: 1 3 12 10 35 21 70 36 117 55 176 78 247 105 330 136
loop(\(x,i).((x * x) * (x - 1)),1,(((x + 2) * (x + 1)) div 2))
A071910: 0 18 180 900 3150 8820 21168 45360 89100 163350 283140 468468 745290 1146600 1713600 2496960
(loop(\(x,i).(x * x),2,(x + 2)) - (((x + 2) * (x + 1)) div 2))
A269436: 15 78 250 615 1281 2380 4068 6525 9955 14586 20670 28483 38325 50520 65416 83385
loop(\(x,i).(x * 2),((x - 1) * x),(((x + 2) * (x + 1)) div 2))
A202944: 1 3 24 640 61440 22020096 30064771072 158329674399744 3242591731706757120 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i + 2) * x) * 2),x,(((x + 2) * (x + 1)) div 2))
A286725: 1 18 288 4800 86400 1693440 36126720 836075520 20901888000 562028544000 16186422067200 497364605337600 16247243774361600 562404592189440000 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 - (x mod 2))),x,(((x + 2) * (x + 1)) div 2))
A069834: 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17
loop(\(x,i).(((i + 2) + 2) * x),x,(((x + 2) * (x + 1)) div 2))
A005461: 1 15 180 2100 25200 317520 4233600 59875200 898128000 14270256000 239740300800 4249941696000 79332244992000 1556132497920000 32011868528640000 689322235650048000
(if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else ((x + 1) * 2))
A274611: 2 4 6 8 10 12 14 1 18 20 22 24 26 28 30 32
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) mod ((x + 1) * 2))
A083528: 1 1 5 1 5 1 5 1 17 5 5 1 5 25 5 1
(loop(\(x,i).((((i div 2) * 2) + 1) * x),x,1) mod ((x + 1) * 2))
A215456: 1 1 3 1 5 9 7 1 9 5 11 9 13 21 15 1
loop(\(x,i).(((x * x) div ((x + 2) + 2)) + 1),2,((x + 1) * 2))
A280196: 1 2 3 4 6 8 9 10 12 14 16 18 20 22 24 26
(((if (x - (2 + 2)) <= 0 then x else (x + 1)) div 2) + ((x + 1) * 2))
A247912: 2 4 7 9 12 15 17 20 22 25 27 30 32 35 37 40
(if x <= 0 then 1 else ((((2 + 2) * (x + 1)) - 1) * ((x + 1) div 2)))
A083363: 1 7 11 30 38 69 81 124 140 195 215 282 306 385 413 504
(loop(\(x,i).((x * x) * x),1,((x div 2) + 1)) * ((x + 1) div 2))
A212764: 0 1 8 16 54 81 192 256 500 625 1080 1296 2058 2401 3584 4096
((loop(\(x,i).(i * x),x,((x - 1) div 2)) div 2) * ((x + 1) div 2))
A152886: 0 0 0 6 24 360 2160 30240 241920 3628800 36288000 598752000 7185024000 130767436800 1830744115200 36614882304000
(if (x - 2) <= 0 then (x mod 2) else (((x mod 2) * 2) + ((x + 1) div 2)))
A267185: 0 1 0 4 2 5 3 6 4 7 5 8 6 9 7 10
loop(\(x,i).((2 + 2) * (x + 1)),((x + 1) div 2),((x + 1) mod 2))
A133628-A097164: 1 4 8 20 36 84 148 340 596 1364 2388 5460 9556 21844 38228 87380
((loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),x) * (x + 1)) div 2)
A084902: 0 1 15 150 1250 9375 65625 437500 2812500 17578125 107421875 644531250 3808593750 22216796875 128173828125 732421875000
(loop(\(x,i).(x div (2 - ((x div (0 - 2)) mod 2))),x,(x + 1)) div 2)
A163575: 0 1 0 1 2 3 0 1 4 5 2 3 6 7 0 1
((loop(\(x,i).((((2 + 1) * x) + 2) * 2),2,x) * (x + 1)) - 2)
A304834: 26 126 298 542 858 1246 1706 2238 2842 3518 4266 5086 5978 6942 7978 9086
(1 - (x div (loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)) * 2)))
A330569: 1 2 1 3 1 2 1 5 1 2 1 3 1 2 1 9
(((loop(\(x,i).(i * x),x,2) div (x + 1)) * x) - ((x - 1) div 2))
A257555: 1 1 2 8 35 198
((loop(\(x,i).((2 + 1) * x),((x - 2) * 2),x) * (x - 1)) div 2)
A081139: 0 0 1 27 486 7290 98415 1240029 14880348 172186884 1937102445 21308126895 230127770466 2447722649502 25701087819771 266895911974545
((loop(\(x,i).(((2 + 2) + 1) * x),(x - 2),x) * (x - 1)) div 2)
A081135: 0 0 1 15 150 1250 9375 65625 437500 2812500 17578125 107421875 644531250 3808593750 22216796875 128173828125
(((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2))
A040812: 29 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58
((((((x * 2) + 1) * 2) * 2) * (2 + 1)) - (if x <= 0 then 1 else 2))
A063162: 11 34 58 82 106 130 154 178 202 226 250 274 298 322 346 370
(((((x * x) * x) * (x div 2)) div (2 + 1)) + (if x <= 0 then 1 else 2))
A140838: 1 2 4 11 44
(((((((2 + 1) * 2) + 1) * x) * x) + 1) * (if x <= 0 then 1 else 2))
A005905: 1 16 58 128 226 352 506 688 898 1136 1402 1696 2018 2368 2746 3152
(((x div ((x mod ((2 + 2) * 2)) + 1)) mod 2) + (if x <= 0 then 1 else 2))
A226774: 1 2 2 2 2 2 2 2 2 2 3 2 2 2 2 3
(((x - ((x * x) mod ((2 + 2) + 1))) div 2) + (if x <= 0 then 1 else 2))
A302097: 1 2 1 1 3 4 4 3
(((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + (if x <= 0 then 1 else 2))
A346213: 1 2 2 3 2 2 2 3 3 2 2 3 2 2 2 3
(((((x * x) * (2 + 1)) * (2 + 1)) div 2) + (if x <= 0 then 1 else 2))
A009946: 1 6 20 42 74 114 164 222 290 366 452 546 650 762 884 1014
((x div ((((x div (2 + 2)) mod 2) + 2) * 2)) + (if x <= 0 then 1 else 2))
A304884: 1 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4
(x - ((x div ((1 - ((2 + 2) * 2)) * 2)) - (if x <= 0 then 1 else 2)))
A026456: 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19
(x - (((x + 2) div (1 - ((2 + 2) * 2))) - (if x <= 0 then 1 else 2)))
A183571: 2 4 5 6 7 8 10 11 12 13 14 15 16 18 19 20
(((((x div (2 + 1)) mod 2) + x) div (2 + 2)) + (if x <= 0 then 1 else 2))
A262685: 1 2 2 3 3 3 3 3 4 4 4 5 5 5 5 6
(((((x mod ((x div 2) + 2)) div 2) + x) div 2) + (if x <= 0 then 1 else 2))
A160511: 1 2 3 3 4 4 5 6 6 7 7 8 9 9 10 11
(x - (((((2 - (x div 2)) div 2) - x) div 2) - (if x <= 0 then 1 else 2)))
A276224: 1 3 5 7 8 10 12 13 15 16 18 20 21 23 25 26
((1 - ((2 + 2) * (2 + 1))) * ((x mod 2) - (if x <= 0 then 1 else 2)))
A040111: 11 11 22 11 22 11 22 11 22 11 22 11 22 11 22 11
((((x + 2) div (((2 + 1) * 2) + 1)) + x) + (if x <= 0 then 1 else 2))
A183294: 1 3 4 5 6 8 9 10 11 12 13 14 16 17 18 19
(((((x mod 2) + x) div ((2 + 2) + 1)) + x) + (if x <= 0 then 1 else 2))
A188040: 1 3 4 5 6 8 9 10 11 13 14 15 16 17 18 20
((((x * 2) div (((x div 2) + 2) + 1)) + x) + (if x <= 0 then 1 else 2))
A269020: 1 3 5 6 7 9 10 11 12 13 14 15 16 17 18 20
((((((x div 2) + 1) * (x div 2)) div 2) + x) + (if x <= 0 then 1 else 2))
A269110: 1 3 5 6 9 10 14 15 20 21
((((((2 + 2) * (2 + 1)) + 1) * x) * x) + (if x <= 0 then 1 else 2))
A010004: 1 15 54 119 210 327 470 639 834 1055 1302 1575 1874 2199 2550 2927
((((((2 + 2) * (2 + 1)) - 1) * x) * x) + (if x <= 0 then 1 else 2))
A010003: 1 13 46 101 178 277 398 541 706 893 1102 1333 1586 1861 2158 2477
(((((((2 + 2) * 2) * 2) + 1) * x) * x) + (if x <= 0 then 1 else 2))
A010007: 1 19 70 155 274 427 614 835 1090 1379 1702 2059 2450 2875 3334 3827
(loop(\(x,i).((((2 + 1) * x) div ((i mod 2) + 1)) + x),x,1) div 2)
A136859: 0 1 4 10 40 100 400 1000 4000 10000 40000 100000 400000 1000000 4000000 10000000
(((loop(\(x,i).((((x + 2) * 2) + x) * 2),2,x) + x) - 1) * 2)
A146081: 110 184 258 332 406 480 554 628 702 776 850 924 998 1072 1146 1220
(((loop(\(x,i).((x * x) * x),2,x) * x) * ((x * x) + 1)) div 2)
A170794: 0 1 2560 295245 8912896 126953125 1118624256 7061881225 34896609280 142958160441 505000000000 1582182900661 4489008906240 11717971807165 28491583515136 65161494140625
((loop(\(x,i).(x * x),2,(x * x)) * (((x * x) * x) + 1)) div 2)
A170775: 0 1 1152 91854 2129920 24609375 182238336 991545772 4303355904 15712053165 50050000000 142763014746 371719176192 896488062379 2025520479360 4326159375000
((loop(\(x,i).((x div (((i * 2) - 1) + i)) + x),x,x) + 1) * 2)
A060378: 2 4 8 10 16 20 26 32 38 40 52 56 64 68 82 86
(2 - ((2 - x) div ((if (x - ((2 + 1) * 2)) <= 0 then 0 else 2) + 2)))
A061071: 1 2 2 3 3 4 4 4 4 4 4 5 5 5 5 6
(if x <= 0 then 1 else ((((x * 2) mod ((x div 2) + 2)) div (0 - 2)) mod 2))
A120522: 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0
(((x * x) + 1) div (x - ((if x <= 0 then 1 else x) div ((0 - 2) - 2))))
A118168: 1 1 1 2 3 3 4 5 6 6 7 8 9 10 10 11
(((if (x mod (2 + 1)) <= 0 then 1 else x) mod (2 - (x div (0 - 2)))) mod 2)
A266716: 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1
((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) * ((x div (0 - 2)) mod 2))
A257654: 0 1 1 0 0 1 1 0 0 1 1 0 0 2 2 0
(loop(\(x,i).((x * x) * (x + 1)),1,(x - (x div (0 - 2)))) div 2)
A299412: 0 6 18 75 126 288 405 726 936 1470 1800 2601 3078 4200 4851 6348
((loop(\(x,i).(((((i * i) - 1) * i) * i) + x),x,0) div 2) div 2)
A112851: 0 0 3 21 81 231 546 1134 2142 3762 6237 9867 15015 22113 31668 44268
(((((((x * 2) * 2) - 1) * x) - (if x <= 0 then 0 else 1)) * 2) * 2)
A180319: 0 8 52 128 236 376 548 752 988 1256 1556 1888 2252 2648 3076 3536
((loop(\(x,i).(x * 2),x,(((x + 2) * (2 + 1)) - 1)) div 2) div 2)
A339252: 1 4 11 28 68 160 368 832 1856 4096 8960 19456 41984 90112 192512 409600
(((x mod ((if (x - 2) <= 0 then 2 else (x div (2 + 1))) + 1)) div 2) mod 2)
A147873: 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1
((if ((x mod (1 - ((2 + 2) * 2))) mod (x + 1)) <= 0 then 1 else 2) + 2)
A216190: 3 3 4 3 4 4 4 3 4 4 4 4 4 4 3 4
(((((if x <= 0 then 1 else (x div (2 + 2))) * (x + 1)) + 1) div 2) mod 2)
A266895: 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) * 2)
A086940: 16 196 1996 19996 199996 1999996 19999996 199999996 1999999996 19999999996 199999999996 1999999999996 19999999999996 199999999999996 1999999999999996 19999999999999996
((loop(\(x,i).(x * x),(x mod 2),(((2 + 1) * 2) + 1)) * 2) * 2)
A135826: 28 196 28 196
(loop(\(x,i).((x div 2) + x),x,((((2 + 1) * 2) + 1) * 2)) div 2)
A120136: 7 10 15 23 34 51 77 115 173 259 389 583 875 1312 1968 2952
((((x + 2) * 2) div ((if (x - (2 + 1)) <= 0 then 2 else 1) + 2)) * 2)
A051754: 2 2 4 4 8 8 10 12 12 14
(if x <= 0 then 1 else (((x mod ((((x div 2) + 1) div 2) + 1)) mod 2) * 2))
A103271: 1 0 0 2 0 2 0 2 0 0 0 2 0 2 0 0
((loop(\(x,i).((i div 2) + x),(x - ((2 + 2) * 2)),1) div 2) * 2)
A309834: 0 0 0 0 0 0 0 0 0 0 2 2 4 6 10 12
((loop(\(x,i).(i + x),((x - ((x div 2) mod 2)) div 2),1) div 2) div 2)
A035659: 0 0 0 0 1 1 1 1 2 2 2 4 5 5 5 7
((((loop(\(x,i).(x * 2),x,2) + 1) * ((2 + 2) + 1)) + 2) * 2)
A305061: 34 54 94 174 334 654 1294 2574 5134 10254 20494 40974 81934 163854 327694 655374
((((if (x - 2) <= 0 then x else (x * 2)) mod ((2 + 2) + 1)) div 2) + 2)
A295568: 2 2 3 2 3 2 3 4 2 3 2 3 4 2 3 2
(((2 - x) mod ((if x <= 0 then 1 else (x div ((2 + 2) + 1))) + 2)) div 2)
A025905: 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1
((x - ((x div (2 + 2)) - (if (x - (2 + 2)) <= 0 then 1 else 2))) mod 2)
A257585: 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0
((loop(\(x,i).(((x + 2) + 2) * 2),((x + 2) + 2),1) - 2) * 2)
A304388: 268 556 1132 2284 4588 9196 18412 36844 73708 147436 294892 589804 1179628 2359276 4718572 9437164
((if (x - (2 + 1)) <= 0 then x else ((((x + 2) * 2) + 1) * 2)) + 2)
A114333: 2 3 4 5 28 32
(((((x div 2) * x) div 2) mod (if ((x div 2) - 2) <= 0 then 1 else 2)) + 2)
A297850-A171092: 2 2 2 2 2 2 3 2 2 2 3 3 2 3 3 2
((if x <= 0 then 0 else ((((x * x) * (x - 1)) div (2 + 1)) + 2)) + 2)
A114879: 2 4 5 10 20 37
(if (x - 2) <= 0 then x else (((((x div 2) * 2) div (2 + 1)) + 2) + 2))
A061008: 0 1 2 4 5 5 6 6 6 6 7 7 8 8 8 8
loop(\(x,i).(x * 2),(x - ((((x div 2) * 2) div (2 + 1)) + 2)),2)
A089819: 2 2 2 4 4 8 8 16 32 64 64 128 128 256 512 1024
((loop(\(x,i).(x * 2),(x - ((2 - x) div 2)),(2 + 1)) div 2) div 2)
A206917: 0 1 3 12 24 96 192 768 1536 6144 12288 49152 98304 393216 786432 3145728
(((loop(\(x,i).(x * 2),(x - 1),(x + 2)) * (2 + 1)) div 2) div 2)
A084860: 1 2 6 15 36 84 192 432 960 2112 4608 9984 21504 46080 98304 208896
(if x <= 0 then 1 else ((x - (((1 - (x * 2)) div (2 + 1)) * 2)) * 2))
A315907: 1 6 8 14 20 22 28 34 36 42 48 50 56 62 64 70
loop(\(x,i).(x * x),(2 + 1),((((x * 2) * (2 + 1)) + 2) * 2))
A017576: 65536 4294967296 377801998336 6553600000000 53459728531456 281474976710656 1113034787454976 3596345248055296 10000000000000000 24759631762948096 55895067029733376 117033789351264256
loop(\(x,i).((x * x) * x),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017571: 64 4096 21952 64000 140608 262144 438976 681472 1000000 1404928 1906624 2515456 3241792 4096000 5088448 6229504
loop(\(x,i).((x * x) * x),2,((((x * 2) * (2 + 1)) + 2) * 2))
A017577: 262144 68719476736 10578455953408 262144000000000 2779905883635712 18014398509481984 84590643846578176 316478381828866048 1000000000000000000 2773078757450186752 4611686018427387903
loop(\(x,i).(x * x),1,(x - ((((x * 2) * (2 + 1)) + 2) * 2)))
A017438: 16 225 676 1369 2304 3481 4900 6561 8464 10609 12996 15625 18496 21609 24964 28561
loop(\(x,i).(x * x),2,(x - ((((x * 2) * (2 + 1)) + 2) * 2)))
A017440: 256 50625 456976 1874161 5308416 12117361 24010000 43046721 71639296 112550881 168896016 244140625 342102016 466948881 623201296 815730721
(((x + 2) div ((if (x mod 2) <= 0 then 1 else x) - ((2 + 1) * 2))) mod 2)
A090678: 1 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1
(if (x - 2) <= 0 then 1 else ((x div (((1 - x) mod (2 + 1)) + 2)) mod 2))
A174852: 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1
((if x <= 0 then 1 else ((((x * 2) * 2) - (x div (2 + 1))) * 2)) + 2)
A063111: 3 10 18 24 32 40 46 54 62 68 76 84 90 98 106 112
((if x <= 0 then 1 else ((((2 + 1) * x) - (x div (2 + 1))) * 2)) + 2)
A063218: 3 8 14 18 24 30 34 40 46 50 56 62 66 72 78 82
(if ((x div (2 + 1)) - 2) <= 0 then 1 else (((x mod (2 + 1)) div 2) + 2))
A121041: 1 1 1 1 1 1 1 1 1 2 2 3 2 2 3 2
((if x <= 0 then 1 else (x * 2)) - ((x - ((x mod (2 + 1)) div 2)) div 2))
A004059: 1 2 4 5 6 8 9 11 13 14 15 17 18 20 22 23
((if (x - 2) <= 0 then 1 else x) - ((x - ((x mod (2 + 1)) div 2)) div 2))
A285759: 1 1 1 2 2 3 3 4 5 5 5 6 6 7 8 8
loop(\(x,i).(x * x),1,(((x - ((x * x) * (2 + 1))) * 2) * 2))
A014794: 0 64 1600 9216 30976 78400 166464 313600 541696 876096 1345600 1982464 2822400 3904576 5271616 6969600
(((loop(\(x,i).((x * 2) - ((i div 2) mod 2)),x,2) - 1) * 2) * 2)
A102652: 4 12 24 48 100 204 408 816 1636 3276 6552 13104 26212 52428 104856 209712
((x - (((x div (2 + 1)) mod 2) - (if (x - 2) <= 0 then 1 else 2))) div 2)
A194177: 0 1 1 2 2 3 4 4 5 5 5 6 7 7 8 8
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) + 1) * 2) * 2)))
A017036: 65536 214358881 11019960576 152587890625 1099511627776 5352009260481 20047612231936 62259690411361 167961600000000 406067677556641 899194740203776 1853020188851841 3596345248055296
loop(\(x,i).((x + 1) * x),1,(x - ((((x * 2) + 1) * 2) * 2)))
A177071: 12 110 306 600 992 1482 2070 2756 3540 4422 5402 6480 7656 8930 10302 11772
(((if x <= 0 then 2 else (((x * x) + 2) mod ((x div 2) + 1))) div 2) mod 2)
A029418: 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1
(x - ((x mod (if (x - 1) <= 0 then 1 else (((x div 2) + 1) div 2))) mod 2))
A343779: 0 1 2 3 4 5 6 6 8 8 9 11 12 12 14 14
(((if x <= 0 then 2 else (((2 + 1) * x) mod ((x div 2) + 1))) div 2) mod 2)
A239199: 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0
(if x <= 0 then 1 else (2 - (((x mod 2) - (((x div 2) - 1) div 2)) div 2)))
A057525: 1 1 2 2 2 2 3 2 3 2 3 3 3 3 4 3
((loop(\(x,i).(x - (((i - (x * 2)) * 2) - 1)),x,1) div 2) div 2)
A178874: 0 1 4 20 98 489 2442 12208 61036 305177 1525880 7629396 38146974 190734865 953674318 4768371584
((((loop(\(x,i).(2 - x),x,((x + 2) + 1)) * x) + 1) * 2) * 2)
A269913: 4 ~4 44 ~44 116 ~116 220 ~220 356 ~356 524 ~524 724 ~724 956 ~956
(((((x + 1) mod (2 + 1)) * ((if x <= 0 then 1 else x) + 1)) div 2) mod 2)
A267636: 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0
((loop(\(x,i).((x - ((1 - (x * 2)) * 2)) * 2),x,1) + 2) * 2)
A173737: 6 16 116 1116 11116 111116 1111116 11111116 111111116 1111111116 11111111116 111111111116 1111111111116 11111111111116 111111111111116 1111111111111116
((loop(\(x,i).((((x div 2) + i) mod 2) + (x * 2)),x,1) * 2) * 2)
A102650: 4 12 28 56 116 236 476 952 1908 3820 7644 15288 30580 61164 122332 244664
((loop(\(x,i).(((i * x) * (2 + 2)) + (x div 2)),x,1) div 2) * 2)
A309170: 0 4 34 424
(((loop(\(x,i).(((2 - x) + 1) * 2),x,1) mod (x + 1)) div 2) div 2)
A219839: 0 0 0 0 0 1 0 0 1 1 0 2 0 1 3 0
(((loop(\(x,i).(1 - (x * 2)),(x div 2),2) mod (x + 1)) div 2) div 2)
A035583: 0 0 0 0 0 0 0 0 0 1 0 1 0 2 3 2
(if (x mod ((2 + 2) + 1)) <= 0 then 1 else (((2 mod (x + 1)) + 2) * 2))
A330555: 1 4 8 8 8 1
(((x div 2) - 2) mod ((if (x - 2) <= 0 then 2 else ((x + 1) div 2)) div 2))
A035667: 0 0 0 0 0 0 0 1 0 0 1 0 1 1 2 1
(loop(\(x,i).i,(((x div 2) - 1) div 2),1) + (((x + 1) div 2) div 2))
A325620: 1 1 1 2 2 2 2 3 3 3 4 5 5 5 6 7
(((if ((2 - x) + 2) <= 0 then 2 else 1) + x) + (((x + 1) div 2) div 2))
A228856: 1 2 3 5 7 8 9 11 12 13 14 16 17 18 19 21
((((if (x - 2) <= 0 then x else ((x + 2) * x)) * (x + 1)) + 2) + 2)
A274991: 4 6 10 64
(loop(\(x,i).(x - (x div ((0 - 2) * (2 + 1)))),(x - 1),2) div 2)
A261770: 1 1 1 2 2 3 3 4 5 6 8 9 11 13 16 19
((if (x - 2) <= 0 then 1 else (((x div (2 + 1)) * (x - 1)) div 2)) mod 2)
A307377: 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 1
((loop(\(x,i).(x div (((x mod 2) * 2) + 1)),2,(x - 1)) div 2) + 2)
A305897-A300248-A300247: 1 2 2 3 2 4 2 5 3 6 2 7 2 8 4 9
(((((((2 + 1) * 2) div (if x <= 0 then 1 else x)) + x) + 1) div 2) mod 2)
A090971: 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0
((loop(\(x,i).((x * x) * (i + 1)),2,((x * x) + 1)) + 2) + 2)
A093060: 16 196 7504
(((if ((((2 + 2) * 2) + 1) mod (x + 1)) <= 0 then 0 else 2) + 2) * 2)
A055026: 4 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8
(((x - 1) mod (2 - ((if x <= 0 then 1 else x) div ((0 - 2) - 2)))) mod 2)
A284524: 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0
((if x <= 0 then 1 else ((((x * 2) * 2) - (x div (0 - 2))) * 2)) + 2)
A063102: 3 12 20 30 38 48 56 66 74 84 92 102 110 120 128 138
(x div (((x mod ((if (x mod (2 + 2)) <= 0 then x else 0) - 2)) div 2) + 2))
A246416: 0 1 1 3 2 5 3 7 2 9 5 11 4 13 7 15
(((((((x + 2) + 2) + 2) + (if x <= 0 then 0 else 1)) * 2) * 2) * 2)
A323610: 48 64 72 80 88 96 104 112 120 128 136 144 152 160 168 176
(((2 - (x div (if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2))) div 2) mod 2)
A029434: 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1
(((if ((x mod ((x div (2 + 1)) + 1)) - 2) <= 0 then 1 else 2) * 2) * 2)
A066014: 4 4 4 4 4 4 4 4 4 4 4 8 4 8 8 8
(((((x div (if (x - (2 + 2)) <= 0 then 1 else 2)) + 1) div 2) div 2) mod 2)
A093384: 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) + 1) * 2) * 2)) div 2)
A120138: 10 15 22 33 50 75 112 168 252 378 567 851 1276 1914 2871 4307
(((((x div 2) - ((if x <= 0 then 1 else x) mod (2 + 1))) div 2) mod 2) + 2)
A074804: 3 3 3 2 2 2 3 3 3 2 2 3 3 2 2 3
((if x <= 0 then 1 else ((((x * 2) - (x div (2 + 1))) * 2) * 2)) + 2)
A063234-A063220: 3 10 18 22 30 38 42 50 58 62 70 78 82 90 98 102
(if (x - 2) <= 0 then x else (((x - ((x div (2 + 1)) mod 2)) div 2) + 2))
A123579: 0 1 2 3 3 4 5 5 6 6 6 7 8 8 9 9
(if x <= 0 then 2 else ((2 - (x mod (((x mod (2 + 1)) - 2) - 2))) div 2))
A078880: 2 2 1 1 2 1 2 2 1 2 2 1 1 2 1 1
((loop(\(x,i).(((i * i) * x) + 1),((x + 2) + 1),2) div 2) + 2)
A138790: 61 946
(((if (x mod 2) <= 0 then (2 + 1) else (((x div 2) + 1) mod 2)) + 2) * 2)
A167873: 10 6 10 4 10 6 10 4 10 6 10 4 10 6 10 4
(((loop(\(x,i).(((x div (2 + 2)) + x) + 2),x,1) div 2) div 2) + 2)
A120161: 2 2 3 4 5 6 7 9 11 14 18 22 28 35 43 54
(((loop(\(x,i).(((i * x) + 1) * (i div 2)),x,1) div 2) div 2) * 2)
A215702: 0 0 0 2 16 170
(if x <= 0 then 0 else ((((((x - 1) div 2) * (x + 1)) div 2) mod 2) + 2))
A227196: 0 2 2 2 2 2 3 2 3 2 2 2 2 2 3 2
((((loop(\(x,i).(x * x),2,(2 + 2)) - (x + 1)) div 2) * 2) * 2)
A152524: 508 508 504 504 500 500 496 496 492 492 488 488 484 484 480 480
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),2) - 2) * 2)
A083811: 36 396 3996 39996 399996 3999996 39999996 399999996 3999999996 39999999996 399999999996 3999999999996
(loop(\(x,i).(((x * x) * x) - (2 + 1)),((x + 1) * 2),2) div 2)
A147667: 61 4611686018427387903 4611686018427387903 4611686018427387903
(x - ((2 - x) div ((if x <= 0 then 2 else (((x + 1) div 2) div 2)) + 2)))
A138083: 0 1 2 4 5 6
A039242: 0 1 2 4 5 6 8 9 10 11 12 13 14 16 17 18
(((x * 2) div ((x div ((if (x - 2) <= 0 then 0 else 2) + 2)) + 2)) mod 2)
A159637: 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0
((if (x mod 2) <= 0 then 1 else (((((x div 2) - 1) div 2) mod 2) * 2)) - 2)
A123724: ~1 0 ~1 ~2 ~1 ~2 ~1 0 ~1 0 ~1 ~2 ~1 ~2 ~1 0
((((loop(\(x,i).((x - i) * x),2,(x - 1)) * 2) * 2) * 2) * 2)
A134175: 0 0 0 0 384 1920 5760 13440 26880 48384 80640 126720 190080 274560 384384 524160
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) * 2) * 2) * 2)) div 2)
A120142: 16 24 36 54 81 121 182 273 409 614 921 1381 2072 3108 4662 6993
((((loop(\(x,i).((x div 2) + x),(x - 2),2) div 2) div 2) div 2) div 2)
A308994: 0 0 0 0 0 0 0 0 1 1 2 3 5 8 13 19
(loop(\(x,i).(x * 2),x,(x - ((1 - ((2 + 2) * 2)) * 2))) div 2)
A159695: 7 15 32 68 144 304 640 1344 2816 5888 12288 25600 53248 110592 229376 475136
(loop(\(x,i).((x * x) * x),(x + 2),(((2 + 2) * 2) * 2)) + 2)
A321284: 68719476738 4611686018427387903 4611686018427387903
((((if x <= 0 then 1 else x) mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2)
A229541: 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0
(if (x - 2) <= 0 then x else (((x - ((x div (2 + 2)) mod 2)) div 2) + 2))
A219642: 0 1 2 3 3 4 4 5 6 6 7 7 7 8 8 9
((if x <= 0 then 1 else x) - (((x - (((x * 2) * 2) * 2)) * 2) * 2))
A048846: 1 29 58 87 116 145 174 203 232 261 290 319 348 377 406 435
(if x <= 0 then 0 else ((x mod (((x - ((x div 2) mod 2)) div 2) + 2)) + 2))
A163751: 0 3 2 2 2 3 4 4 4 5 6 6 6 7 8 8
((if (x - 1) <= 0 then x else (((x mod ((x mod 2) + 2)) mod 2) * 2)) * 2)
A005929: 0 2 0 0 0 0 0 4 0 0 0 0 0 4 0 0
((x * x) mod (((if ((x div 2) - 2) <= 0 then 1 else (2 + 2)) * 2) * 2))
A344851: 0 1 0 1 0 1 4 1 0 1 4 9 0 9 4 1
((loop(\(x,i).((x div (2 + 2)) + x),(x - 1),(2 + 2)) div 2) div 2)
A120160: 1 1 1 1 1 2 2 3 3 4 5 6 8 10 12 15
(loop(\(x,i).((x div ((i mod 2) + 1)) + x),x,((2 + 2) * 2)) * 2)
A205187: 16 24 48 72 144 216 432 648 1296 1944 3888 5832 11664 17496 34992 52488
((2 - (x mod (((if (x mod 2) <= 0 then 1 else x) - (2 + 2)) * 2))) + 2)
A199203: 4 9 8 5 6 3
(if (x - 2) <= 0 then 1 else (((x * 2) div ((x div (2 + 2)) + 2)) mod 2))
A121802: 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0
(((if (x mod (2 + 1)) <= 0 then 2 else x) mod ((x div (2 + 2)) + 2)) div 2)
A073454: 0 0 0 0 0 1 1 0 0 1 1 1 1 1 2 1
((if x <= 0 then 1 else (((x div 2) * x) div ((x div (2 + 2)) + 2))) mod 2)
A024711: 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1
((if x <= 0 then 1 else 0) - ((x mod ((0 - (x mod (2 + 2))) - 2)) mod 2))
A247223: 1 0 0 0 0 ~1 0 ~1 0 0 0 0 0 0 0 0
((x div ((if (x mod 2) <= 0 then (2 + 2) else (x mod (2 + 2))) * 2)) mod 2)
A011711: 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 2) * 2) * 2)
A086579: 0 72 792 7992 79992 799992 7999992 79999992 799999992 7999999992 79999999992 799999999992 7999999999992 79999999999992 799999999999992 7999999999999992
((loop(\(x,i).((x * x) * x),(2 + 1),((x + 2) + 2)) div 2) div 2)
A173533: 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x - i) * x) - 2),2,((x + 2) + 2)) div 2) div 2)
A342737: 19 71 181 379 701 1189 1891 2861 4159 5851 8009 10711 14041 18089 22951 28729
((loop(\(x,i).((x - (i + 1)) * x),2,((x + 2) + 2)) div 2) div 2)
A105938: 10 45 126 280 540 945 1540 2376 3510 5005 6930 9360 12376 16065 20520 25840
loop(\(x,i).(((x * 2) * 2) + 1),x,((((x + 2) + 2) + 2) * 2))
A072259: 12 57 261 1173 5205 22869 99669 431445 1856853 7951701 33903957 144004437 609572181 2572506453 10826896725 45455070549
((loop(\(x,i).((2 + 1) * x),(x * 2),((x + 2) * 2)) * 2) * 2)
A159739: 16 216 2592 29160 314928 3306744 34012224 344373768 3443737680 34093003032 334731302496 3263630199336 31632108085872 305023899399480 2928229434235008 28001193964872264
(if x <= 0 then 1 else (((x * 2) - (((2 - (x div 2)) div 2) div 2)) * 2))
A311226: 1 4 8 12 16 20 26 30 34 38 42 46 50 54 60 64
((loop(\(x,i).(x * x),1,(((x mod 2) - (x div 2)) - 2)) div 2) div 2)
A008733: 1 0 2 1 4 2 6 4 9 6 12 9 16 12 20 16
(((if x <= 0 then 2 else (((x * x) + 1) div ((x div 2) + 2))) div 2) mod 2)
A143221: 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0
((if x <= 0 then 2 else ((((1 - x) * 2) mod ((x div 2) + 2)) div 2)) div 2)
A010108: 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2
(x div (((((if (x mod 2) <= 0 then 2 else x) + (x div 2)) div 2) div 2) + 2))
A072531: 0 0 1 1 1 1 2 1 2 1 3 1 3 2 3 2
((if ((x mod (2 + 1)) - 1) <= 0 then (1 - ((x mod 2) * 2)) else 2) + 2)
A278536: 3 1 4 1 3 4 3 1 4 1 3 4 3 1 4 1
(((2 - (loop(\(x,i).(i * x),x,2) mod (x + 1))) mod (2 + 2)) - 2)
A151763: 0 0 ~1 0 1 0 ~1 0 0 0 ~1 0 1 0 0 0
(x - ((if x <= 0 then 1 else ((((2 - x) div 2) * 2) * (2 + 2))) - 2))
A109474: 1 3 4 13 14 23 24 33 34 43 44 53 54 63 64 73
(((2 + 1) * x) - ((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2))))
A004084: 1 4 7 10 13 16 19 22 26 29 32 35 38 41 44 48
((if ((2 - x) + 2) <= 0 then 2 else 1) - (x div (1 - ((2 + 2) * 2))))
A108229-A088141: 1 2 2 2 3 3 3 3 4 4 4 4 4 4 4 5
(x - (if ((x div (2 + 2)) - 1) <= 0 then (x mod 2) else ((2 + 2) * 2)))
A330271: 0 0 2 2 4 4 6 6 0 1 2 3 4 5 6 7
((if ((x div (2 + 2)) mod 2) <= 0 then x else (0 - x)) mod ((2 + 2) * 2))
A266313: 0 1 2 3 4 3 2 1 0 1 2 3 4 3 2 1
loop(\(x,i).(x - ((1 - (x div 2)) div (2 + 1))),x,((2 + 2) * 2))
A120184: 8 9 10 12 14 16 19 22 26 30 35 41 48 56 65 76
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),x,((2 + 2) * 2))
A013824: 8 256 8192 262144 8388608 268435456 8589934592 274877906944 8796093022208 281474976710656 9007199254740992 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((i * x) * (i + 2)) * (2 + 2)),x,((2 + 2) * 2))
A002506: 8 96 3072 184320 17694720 2477260800 475634073600 119859786547200 38355131695104000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,((2 + 2) * 2))
A198690: 8 62 440 3086 21608 151262 1058840 7411886 51883208 363182462 2542277240 17795940686 124571584808 872001093662 6104007655640 42728053589486
loop(\(x,i).(((((x + 2) * 2) * 2) * 2) - x),x,((2 + 2) * 2))
A304826: 8 72 520 3656 25608 179272 1254920 8784456 61491208 430438472 3013069320 21091485256 147640396808 1033482777672 7234379443720 50640656106056
(if x <= 0 then 0 else (1 - ((((x mod (2 + 1)) - x) div (2 + 2)) * 2)))
A101290: 0 1 1 3 3 3 5 5 5 7 7 7 7 7 7 9
((((x div 2) + 1) div ((if (x mod 2) <= 0 then 1 else x) - (2 + 2))) mod 2)
A087755: 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0
(((((if (x - (2 + 2)) <= 0 then 1 else x) + 2) * x) div (2 + 2)) mod 2)
A289071: 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1
(x - ((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) - 2))
A071604: 1 2 3 4 5 6 7 8 9 10 10 11 11 12 13 14
((loop(\(x,i).(((i + 2) * i) + x),x,1) + (x div (2 + 2))) * 2)
A152132: 2 8 24 54 104 174 270 396 558 756 996 1282 1620 2010 2458 2968
((if x <= 0 then 2 else (((x div (2 + 1)) mod 2) + (x div (2 + 2)))) div 2)
A025863: 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 2
(((if x <= 0 then 2 else ((((x mod (2 + 1)) - 1) * x) div 2)) div 2) mod 2)
A101266: 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0
((loop(\(x,i).(x * 2),x,((((2 + 2) + 1) * x) + 2)) + 2) * 2)
A195590: 8 32 100 276 708 1732 4100 9476 21508 48132 106500 233476 507908 1097732 2359300 5046276
loop(\(x,i).(x * x),(2 + 1),(((((2 + 1) * x) + 2) * 2) * 2))
A017624: 16777216 25600000000 1099511627776 14048223625216 96717311574016 457163239653376 1677721600000000 5132188731375616 13685690504052736 32784148919812096 72057594037927936 147578905600000000
loop(\(x,i).((x * x) * x),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017619: 512 8000 32768 85184 175616 314432 512000 778688 1124864 1560896 2097152 2744000 3511808 4410944 5451776 6644672
loop(\(x,i).((x * x) * x),2,(((((2 + 1) * x) + 2) * 2) * 2))
A017625: 134217728 512000000000 35184372088832 618121839509504 5416169448144896 31087100296429568 134217728000000000 472161363286556672 1423311812421484544 3802961274698203136
loop(\(x,i).(x * x),1,(x - (((((2 + 1) * x) + 2) * 2) * 2)))
A017486: 64 361 900 1681 2704 3969 5476 7225 9216 11449 13924 16641 19600 22801 26244 29929
loop(\(x,i).(x * x),2,(x - (((((2 + 1) * x) + 2) * 2) * 2)))
A017488: 4096 130321 810000 2825761 7311616 15752961 29986576 52200625 84934656 131079601 193877776 276922881 384160000 519885601 688747536 895745041
(((x - ((loop(\(x,i).i,(x div (2 + 2)),2) - x) div 2)) + 2) + 2)
A186356: 3 5 6 8 10 11 13 14 15 17 18 20 21 22 24 25
(loop(\(x,i).(((((i + 1) * i) div 2) + x) + 2),(x + 2),2) + 2)
A026041: 12 20 32 49 72 102 140 187 244 312 392 485 592 714 852 1007
((if x <= 0 then 1 else ((((x * x) * 2) + 1) div ((x + 2) + 2))) mod 2)
A189209: 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1
(if x <= 0 then 1 else ((((x * 2) * (x + 1)) div ((x + 2) + 2)) + 2))
A248566: 1 2 4 5 7 8 10 12 14 15 17 19 21 23 25 27
((if x <= 0 then 1 else (((x * x) * (2 + 2)) div ((x + 2) + 2))) mod 2)
A262855: 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1
((((if x <= 0 then 1 else x) * (2 + 2)) * 2) div (((x + 2) + 2) + 2))
A239684: 1 1 2 2 3 3 4 4 4 4 5 5 5 5 5 5
(if (x div ((2 + 2) + 1)) <= 0 then (x + 1) else (((x + 2) * 2) * 2))
A265098: 1 2 3 4 5 28 32
(((((x * x) div 2) - (if (x - 2) <= 0 then 1 else (x - 2))) div 2) + 2)
A028309: 1 1 2 3 5 6 9 11 15 18 23 27 33 38 45 51
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + (((x * 2) * 2) * 2))
A221910: 1 16 80 536 4128 32808 262192 2097208 16777280 134217800 1073741904 8589934680 68719476832 549755813992 4398046511216 35184372088952
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (((x * 2) * 2) * 2))
A198398: 1 0 48 488 4064 32728 262096 2097096 16777152 134217656 1073741744 8589934504 68719476640 549755813784 4398046510992 35184372088712
loop(\(x,i).((x * x) * x),1,(2 - (x - (((x * 2) * 2) * 2))))
A017007: 8 729 4096 12167 27000 50653 85184 132651 195112 274625 373248 493039 636056 804357 1000000 1225043
loop(\(x,i).((x * x) * x),2,(2 - (x - (((x * 2) * 2) * 2))))
A017013: 512 387420489 68719476736 1801152661463 19683000000000 129961739795077 618121839509504 2334165173090451 7427658739644928 20711912837890625 51998697814228992 119851595982618319
((loop(\(x,i).((x * x) * x),2,x) + x) + (((x * 2) * 2) * 2))
A180359: 0 10 530 19710 262180 1953170 10077750 40353670 134217800 387420570 1000000090 2357947790 5159780460 10604499490 20661046910 38443359510
(2 - (x - (loop(\(x,i).(((x * x) + 2) * x),(x * 2),2) div 2)))
A253578: 3 877
((if x <= 0 then 2 else ((((1 - x) mod (2 + 1)) + (x div 2)) div 2)) div 2)
A029383: 1 0 0 0 0 1 1 0 1 1 1 1 1 1 2 2
(if (x - 1) <= 0 then x else ((((x mod (2 + 1)) - (x div 2)) div 2) mod 2))
A189132-A189017-A189014: 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0
(((((x + 1) * x) + 1) div (if x <= 0 then 1 else ((x div 2) + 2))) mod 2)
A267845: 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0
(2 - ((if x <= 0 then 2 else (((0 - x) * x) * ((x div 2) + 2))) div 2))
A337118: 1 3 8 16 34
(((if (x mod 2) <= 0 then 2 else ((x * x) * x)) mod ((x div 2) + 2)) div 2)
A092111: 0 0 1 0 1 0 1 1 1 1 1 0 1 2 1 0
(((x - (if ((x div 2) - 2) <= 0 then 0 else 1)) - ((x div 2) mod 2)) div 2)
A064475: 0 0 0 1 2 2 2 2 3 4 4 4 5 6 6 6
((x - loop(\(x,i).(1 - x),x,(2 - (x - ((x div 2) mod 2))))) + 2)
A266616: 0 3 3 4 8 3 11 4 16 3 19 4 24 3 27 4
(((loop(\(x,i).((1 - x) * 2),(x div 2),1) - (x mod 2)) * 2) * 2)
A096406: 4 0 0 ~4 8 4 ~8 ~12 24 20 ~40 ~44 88 84 ~168 ~172
loop(\(x,i).(((x + 2) * 2) + x),x,(((2 - (x mod 2)) * 2) * 2))
A117868: 8 16 88 160 808 1456 7288 13120 65608 118096 590488 1062880 5314408 9565936 47829688 86093440
(((if x <= 0 then 1 else (x * 2)) mod (((x div 2) - (x mod 2)) + 2)) mod 2)
A124752-A098173: 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0
loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),(((x mod 2) + 2) + 2))
A163141: 4 5 20 25 100 125 500 625 2500 3125 12500 15625 62500 78125 312500 390625
(if ((x div (2 + 2)) - 2) <= 0 then 1 else (x div (((x mod 2) + 2) + 2)))
A343886: 1 1 1 1 1 1 1 1 1 1 1 1 3 2 3 3
(((x mod 2) - loop(\(x,i).((1 - x) * 2),x,((x mod 2) * 2))) * 2)
A120462: 0 6 4 22 20 86 84 342 340 1366 1364 5462 5460 21846 21844 87382
((((x * x) * x) * (x * x)) mod loop(\(x,i).((x * x) + 2),2,2))
A070621: 0 1 32 15 36 9 24 11 12 35 22 7 8 33 10 21
(((x - 1) div 2) mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2)))
A237817: 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3
((if ((x - 2) mod ((2 + 1) * 2)) <= 0 then (x + 2) else 1) mod (2 + 2))
A169987: 1 1 0 1 1 1 1 1 2 1 1 1 1 1 0 1
((((x + 2) * (x + 2)) div 2) - (if (x mod 2) <= 0 then 1 else (2 + 2)))
A326658: 1 0 7 8 17 20 31 36 49 56 71 80 97 108 127 140
((loop(\(x,i).((x * 2) * 2),x,(2 + 2)) div (x + 1)) mod (2 + 2))
A323592: 0 0 1 0 0 2 0 0 3 1 0 1 0 1 0 0
((((loop(\(x,i).(x * 2),x,1) mod (x + 1)) + 1) div 2) mod (2 + 2))
A257988: 0 0 1 0 1 1 1 0 2 1 1 0 1 1 2 0
(((x * x) * (x + 2)) div loop(\(x,i).((x * x) + 1),2,(2 + 2)))
A309715: 0 0 0 0 0 0 0 1 2 3 4 5 6 8 10 13
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),(x * 2),(2 + 2))
A067482-A013830: 4 4096 4194304 4294967296 4398046511104 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A320860: 4 4096 4194304 4294967296 4398046511104 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then x else (0 - x)) mod (2 + 2))
A112658: 0 1 2 1 0 3 2 1 0 1 2 3 0 3 2 1
(((if (x - ((2 + 2) * (2 + 1))) <= 0 then 2 else 1) - x) mod (2 + 2))
A190693: 2 1 0 3 2 1 0 3 2 1 0 3 2 0 3 2
loop(\(x,i).((((((2 + 2) + 1) * x) - 1) * 2) - 1),x,(2 + 2))
A199690: 4 37 367 3667 36667 366667 3666667 36666667 366666667 3666666667 36666666667 366666666667 3666666666667 36666666666667 366666666666667 3666666666666667
(loop(\(x,i).((x + 2) + 1),(((x - 1) div 2) - 1),x) * (2 + 2))
A071072: 0 4 8 12 16 32 36 52 56 72 76 92 96
((if ((x mod (((x div 2) + 2) + 2)) mod 2) <= 0 then 1 else x) mod (2 + 2))
A030394: 1 1 1 3 1 1 1 1 1 1 2 1 1 1 2 1
(if x <= 0 then 2 else (((x div (((2 + 2) * 2) + 1)) + x) * (2 + 2)))
A335738: 2 4 8 12 16 20 24 28 32 40 44 48 52 56 60 64
(x - ((1 - (if (((x div 2) - 2) - 2) <= 0 then 1 else x)) div (2 + 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A305932-A007377: 0 1 2 3 4 5 6 7 8 9 13 14 15 16 18 19
loop(\(x,i).(x - ((1 - (x * 2)) * ((2 + 2) + 1))),x,(2 + 2))
A199757: 4 39 424 4659 51244 563679 6200464 68205099 750256084 8252816919 90780986104 998590847139 10984499318524 120829492503759 1329124417541344 14620368592954779
(if x <= 0 then 1 else (((((x + 1) div 2) div (2 + 1)) + x) + (2 + 2)))
A325435: 1 5 6 7 8 10 11 12 13 14 15 17 18 19 20 21
(((loop(\(x,i).((i * i) + x),x,2) div (2 + 1)) - x) div (2 + 2))
A175724: 0 0 0 0 1 3 6 10 15 21 29 39 51 65 81 99
(loop(\(x,i).(i * x),x,(((x * x) * (2 + 1)) + x)) div (2 + 2))
A134437: 0 1 7 45 312 2400 20520 194040 2016000 22861440 281232000 3732220800 53169177600 809512704000 13120332825600 225573828480000
loop(\(x,i).((x - (x div (0 - 2))) div ((x mod 2) + 1)),x,(2 + 2))
A180853: 4 6 9 7 5 4 6 9 7 5 4 6 9 7 5 4
(x - ((((x div 2) mod (2 + 2)) - (if x <= 0 then 1 else x)) div (2 + 2)))
A263977-A039164: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 18
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - (i + 1)),x,(2 + 2))
A155859: 4 38 377 3766 37655 376544 3765433 37654322 376543211 3765432100 37654320989 376543209878 3765432098767 37654320987656 376543209876545 3765432098765434
(loop(\(x,i).((((x * x) div 2) - (x mod 2)) + 1),2,x) div (2 + 2))
A317714: 0 0 1 2 10 18 45 72 136 200 325 450 666 882 1225 1568
((loop(\(x,i).((x * x) * x),2,((x * 2) * 2)) * x) * (2 + 2))
A016810: 0 1048576 1073741824 61917364224 1099511627776 10240000000000 63403380965376 296196766695424 1125899906842624 3656158440062976 10485760000000000 27197360938418176 64925062108545024 144555105949057024 303305489096114176 604661760000000000
loop(\(x,i).(x * x),1,(((((2 + 1) * x) + 2) * x) div (2 + 2)))
A212506: 0 1 16 64 196 441 900 1600 2704 4225 6400 9216 12996 17689 23716 30976
((if x <= 0 then 1 else x) - (((((x div 2) * x) mod 2) * x) div (2 + 2)))
A122168: 1 1 2 3 4 5 6 6 8 9 10 9 12 13 14 12
(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + (2 + 2))
A048974: 5 7 9 13 15 19 21 25 31 33 39 43 45 49 55 61
(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - (2 + 2))
A118538: ~3 ~1 1 5 7 11 13 17 23 25 31 35 37 41 47 53
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 2))
A146968: 4 5 7
A052147: 4 5 7 9 13 15 19 21 25 31 33 39 43 45 49 55
(((if ((2 - x) + 2) <= 0 then (2 + 1) else (x div 2)) + x) + (2 + 2))
A146968: 4 5 7
A159698: 4 5 7 8 11 12 13 14 15 16 17 18 19 20 21 22
((if x <= 0 then 1 else ((x * 2) * 2)) - (((x div 2) + x) div (2 + 2)))
A214971: 1 4 8 11 15 19 22 26 29 33 37 40 44 48 51 55
(((if x <= 0 then 1 else x) + (x * 2)) - (((x div 2) + x) div (2 + 2)))
A026352: 1 3 6 8 11 14 16 19 21 24 27 29 32 35 37 40
(loop(\(x,i).((x div 2) + 2),((x - 1) div 2),0) + (x div (2 + 2)))
A130242: 0 0 0 2 3 4 4 4 5 5 5 5 6 6 6 6
(if (((((x div 2) - 1) div 2) div 2) mod 2) <= 0 then 1 else (x div (2 + 2)))
A215406: 0 0 1 1 1 1 1 1 1 1 2 2 3 3 3 3
(if ((x + 2) mod ((x mod (2 + 2)) + 2)) <= 0 then 1 else (x div (2 + 2)))
A003639: 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 3
(((if ((x div 2) - 2) <= 0 then 1 else 2) * (x + 1)) + (x div (2 + 2)))
A162570: 1 2 3 4 6 7 15
(loop(\(x,i).((((i * 2) * 2) + 1) * x),x,1) - (x div (2 + 2)))
A243678: 1 5 45 585 9944
(((if (x mod 2) <= 0 then ((x div 2) mod 2) else 2) * 2) + (x div (2 + 2)))
A226577: 0 4 2 4 1 5 3 5 2 6 4 6 3 7 5 7
((if x <= 0 then 1 else (x div ((x mod (2 + 2)) + 2))) - (x div (2 + 2)))
A114374-A029371: 1 0 0 0 1 0 0 0 2 1 0 0 3 1 0 0
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + x),x,(2 + 2))
A199028: 4 49 544 5989 65884 724729 7972024 87692269 964614964 10610764609 116718410704 1283902517749 14122927695244 155352204647689 1708874251124584 18797616762370429
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),x,(2 + 2))
A199022: 4 54 604 6654 73204 805254 8857804 97435854 1071794404 11789738454 129687123004 1426558353054 15692141883604 172613560719654 1898749167916204 20886240847078254
((((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)) + x) + (2 + 2))
A299544: 4 5 6 7 8 9 10 11 12 14 16 18 20 22 24 26
loop(\(x,i).((((2 + 2) * (x + 1)) div (i + 1)) + x),x,(2 + 2))
A063258: 4 14 34 69 125 209 329 494 714 1000 1364 1819 2379 3059 3875 4844
(((loop(\(x,i).((x * x) * x),2,(x * 2)) * x) * x) * (2 + 2))
A016751: 0 2048 4194304 362797056 8589934592 100000000000 743008370688 4049565169664 17592186044416 64268410079232 204800000000000 584318301411328 1521681143169024 3670344486987776 8293509467471872 17714700000000000
(if (x - 1) <= 0 then (((x + 2) * 2) + x) else ((x * x) * (2 + 2)))
A144916: 4 7 16 36 64 100 144 196 256 324 400 484 576 676 784 900
loop(\(x,i).(x * x),1,(x - (((1 - (x * x)) * x) * (2 + 2))))
A239608: 0 1 676 9801 59536 235225 715716 1825201 4096576 8346321 15760900 27994681 47279376 76545001 119552356 181037025
(loop(\(x,i).((x - (i div ((x mod (0 - 2)) - 2))) + 1),x,2) div 2)
A097602: 1 2 3 4 6 8 10 12 14 16 19 22 25 29 33 37
(loop(\(x,i).(x - (((2 - x) div ((2 + 2) * 2)) - 1)),x,2) div 2)
A008756: 1 1 2 3 4 5 7 8 10 12 14 16 19 22 25 29
(loop(\(x,i).((x + 1) * x),1,((((2 + 2) + 1) * x) + 2)) div 2)
A061793: 3 28 78 153 253 378 528 703 903 1128 1378 1653 1953 2278 2628 3003
loop(\(x,i).(x * x),(2 + 1),(((((2 + 2) + 1) * x) + 2) * 2))
A017324: 65536 1475789056 110075314176 1785793904896 14048223625216 72301961339136 281474976710656 899194740203776 2478758911082496 6095689385410816 13685690504052736 28525864220672256 55895067029733376
loop(\(x,i).((x * x) * x),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017319: 64 2744 13824 39304 85184 157464 262144 405224 592704 830584 1124864 1481544 1906624 2406104 2985984 3652264
loop(\(x,i).((x * x) * x),2,(((((2 + 2) + 1) * x) + 2) * 2))
A017325: 262144 20661046784 2641807540224 60716992766464 618121839509504 3904305912313344 18014398509481984 66540410775079424 208215748530929664 572994802228616704 1423311812421484544 3251948521156637184
(loop(\(x,i).(((((i mod 2) + x) + (x * 2)) * 2) - 1),x,2) * 2)
A092167: 4 26 154 926 5554 33326 199954 1199726 7198354 43190126 259140754 1554844526 9329067154 55974402926 335846417554 2015078505326
loop(\(x,i).(x * x),1,(((((x div 2) * (2 + 1)) + x) + 2) * 2))
A273373: 16 36 196 256 576 676 1156 1296 1936 2116 2916 3136 4096 4356 5476 5776
(loop(\(x,i).((((x + 2) div (i + 1)) + x) + (2 + 1)),x,2) div 2)
A060605: 1 3 6 9 13 16 20 24 28 32 37 41 46 50 55 60
((loop(\(x,i).(((i + 1) * i) + x),((x div 2) + 1),x) div 2) + 2)
A263794: 3 3 7 7 14 14 25 25 41 41 63 63 92 92 129 129
((loop(\(x,i).((x * 2) + 1),x,0) * (((x + 1) * x) + 2)) + 2)
A191821: 2 6 26 100 332 994 2774 7368 18872 47014 114578 274300 647012 1507146 3473198 7929616
((((x * x) * x) * (x * x)) mod loop(\(x,i).((x + 1) * x),2,2))
A070625: 0 1 32 33 16 17 6 7 8 39 40 23 24 13 14 15
(((x * 2) - (((x div (2 + 2)) - (if x <= 0 then 1 else x)) div 2)) + 2)
A184653: 3 5 7 10 12 14 17 19 21 24 26 29 31 33 36 38
((x - ((((2 - (x div 2)) div 2) mod (if x <= 0 then 1 else x)) div 2)) div 2)
A072748: 0 0 1 1 2 2 2 2 2 2 3 3 3 4 4 4
(1 - (((loop(\(x,i).((x - (i mod 2)) * i),x,1) * x) div 2) div 2))
A241905: 1 1 1 4 13 83
(loop(\(x,i).(((i + 2) * x) - ((2 + 2) div (i + 1))),x,2) div 2)
A245902: 1 2 7 37 222
(if x <= 0 then 1 else ((x - ((((x div 2) div (0 - 2)) - x) div 2)) + 2))
A231407: 1 4 6
A080746: 1 4 6 7 9 10 12 14 15 17 19 20 22 23 25 27
(loop(\(x,i).(x * 2),x,(((((2 + 2) * 2) * 2) + x) + 2)) div 2)
A159697: 9 19 40 84 176 368 768 1600 3328 6912 14336 29696 61440 126976 262144 540672
(x - ((2 - ((if ((x div (2 + 2)) - 2) <= 0 then 2 else x) div 2)) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A191923-A191922: 0 1 2 3 4 5 6 7 8 9 10 11 14 15 17 18
(1 div ((if ((x + 2) mod (((x mod 2) + 2) + 2)) <= 0 then x else 2) div 2))
A276254: 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1
(if x <= 0 then 1 else (((x * 2) - ((((x div 2) mod 2) - x) div 2)) * 2))
A315211: 1 6 10 14 20 26 30 34 40 46 50 54 60 66 70 74
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2)
A100484: 4 6 10 14 22 26 34 38 46 58 62 74 82 86 94 106
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div 2) + 2)
A130291: 2 2 3 4 6 7 9 10 12 15 16 19 21 22 24 27
((loop(\(x,i).((((i * 2) - 1) * x) * 2),(x - 2),x) div 2) * 2)
A052717: 0 0 2 6 48 600 10080 211680 5322240 155675520 5189184000 194075481600 8045310873600 366061644748800 18134130709094400 971471287987200000
(loop(\(x,i).(((((x mod 2) * 2) - 1) * i) + (x * 2)),x,2) div 2)
A034299: 1 1 4 6 15 27 58 112 229 453 912 1818 3643 7279 14566 29124
(loop(\(x,i).(x * 2),((x + 1) div 2),(((x div 2) + x) + 2)) div 2)
A203150: 1 3 5 12 16 36 44 96 112 240 272 576 640 1344 1472 3072
(if ((x mod (2 + 1)) - 1) <= 0 then 1 else ((((x div 2) * x) mod 2) + 2))
A230404: 1 1 2 1 1 2 1 1 2 1 1 3 1 1 2 1
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,2) - 2)
A128634: 0 2 8 26 82 262 856 2858 9722 33590 117570 416022 1485798 5348878 19389688 70715338
((x + 1) div ((loop(\(x,i).((i * i) + x),x,0) mod (x + 2)) + 2))
A099362: 0 0 1 0 2 0 1 1 1 0 3 0 1 1 1 0
(loop(\(x,i).((x - 1) * x),1,(((2 + 2) + 1) * (x + 2))) div 2)
A331190: 45 105 190 300 435 595 780 990 1225 1485 1770 2080 2415 2775 3160 3570
((((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1) * (x + 2)) div 2)
A152899: 1 3 6 10 15 21 36 45 55 66 78 91 105 120 136 153
(((((if (2 - x) <= 0 then x else 2) + (x * 2)) - 1) * (x + 2)) div 2)
A140229: 1 4 10 20 33 49 68 90 115 143 174 208 245 285 328 374
(((loop(\(x,i).(((i + x) * 2) + i),x,2) - 1) * (x + 2)) div 2)
A213583: 1 9 38 120 327 819 1948 4482 10085 22341 48930 106236 229075 491175 1048184 2227782
loop(\(x,i).((((x + 1) div ((2 + 2) + 1)) + x) + 2),(x + 2),2)
A020752: 7 10 14 19 25 32 40 50 62 76 93 113 137 166 201 243
(loop(\(x,i).(i * x),(x + 2),2) div (((x + 2) * (x + 2)) div 2))
A277876: 2 3 6 20 80 420 2520 18144 145152 1330560 13305600 148262400 1779148800 23351328000 326918592000 4940103168000
(loop(\(x,i).(((x * x) - 2) * x),x,((x + 2) * (x + 2))) - 2)
A062665: 2 709
(((if (x mod (2 + 1)) <= 0 then 1 else (2 - (x div 2))) mod (x + 2)) mod 2)
A266514: 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1
(loop(\(x,i).((i + x) + x),(x + 1),(x + 1)) * ((x + 2) + 2))
A000554: 12 60 210 630 1736 4536 11430 28050 67452 159588 372554 859950 1965840 4456176 10026702 22412970
(((((if x <= 0 then 1 else x) * (2 + 2)) + 1) * 2) div ((x + 2) + 2))
A303594-A035100: 2 2 3 3 4 4 5 5 5 5 5 6 6 6 6 6
((if (x mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else 0) + ((x + 2) * 2))
A151976: 5 6 8 10 13 14 17 18 21 22 24 26 29 30 32 34
(if (x div 2) <= 0 then x else (((x * 2) mod (2 + 1)) + ((x + 2) * 2)))
A110095: 0 1 9 10 14 15 16 20 21 22 26 27 28 32 33 34
((if (((x + 2) mod ((2 + 2) * 2)) - 2) <= 0 then x else (x + 2)) div 2)
A034584: 0 1 2 2 3 3 3 3 4 5 6 6 7 7 7 7
((x - ((2 + 2) div (if ((x div 2) - 2) <= 0 then 2 else (x - 2)))) + 2)
A067570: 0 1 2 3 4 5 7
A039261: 0 1 2 3 4 5 7 9 10 11 12 13 14 15 16 17
(loop(\(x,i).(i * x),(x - 2),(((x * x) div 2) * (x - 2))) div 2)
A329550: 0 0 0 2 16 108 864 7200 69120 705600 8064000 97977600 1306368000 18441561600 281652940800 4533271142400
(if x <= 0 then 1 else (((((x div 2) * x) div (2 + 1)) + (x * 2)) * 2))
A232996: 1 4 8 14 20 26 36
(if x <= 0 then 1 else (((x div (((x div 2) + 2) + 2)) + (x * 2)) * 2))
A311179: 1 4 8 12 16 20 24 30 34 38 42 46 50 54 58 62
(if x <= 0 then 1 else ((((((x div 2) mod 2) + x) div 2) + (x * 2)) * 2))
A310498: 1 4 10 16 20 24 30 36 40 44 50 56 60 64 70 76
((if (2 - x) <= 0 then ((2 + 2) * (x - 1)) else 1) + ((x * 2) * 2))
A086570: 1 5 12 20 28 36 44 52 60 68 76 84 92 100 108 116
(((((x div 2) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A301293: 1 4 9 14 18 22 27 32 36 40 45 50 54 58 63 68
(loop(\(x,i).((i * x) * x),x,((x * x) + 2)) - ((x * 2) * 2))
A082973: 2 5 2584
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + x) + ((x * 2) * 2))
A221907: 1 10 35 140 645 3150 15655 78160 390665 1953170 9765675 48828180 244140685 1220703190 6103515695 30517578200
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - x) - ((x * 2) * 2))
A107585: 1 0 15 110 605 3100 15595 78090 390585 1953080 9765575 48828070 244140565 1220703060 6103515555 30517578050
((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) + (x * 2)) * 2)
A189932: 4 10 16 22 28 34 40 46 52 56 62 68 74 80 86 92
((x + 2) mod ((if (x mod 2) <= 0 then (x mod (2 + 1)) else (x div 2)) + 2))
A318518: 0 1 0 2 0 3 0 4 2 5 0 6 0 7 0 8
(((if (x mod 2) <= 0 then ((x div 2) + 1) else (x - 1)) * (x div 2)) div 2)
A124093: 0 0 1 1 3 4 6 9 10 16 15 25 21 36 28 49
((if x <= 0 then 2 else ((((x div 2) mod (2 + 1)) mod 2) + (x div 2))) div 2)
A112217: 1 0 1 1 1 1 1 1 2 2 2 2 3 3 4 4
((((if (x - 2) <= 0 then 2 else (x - 2)) mod (2 + 2)) + (x div 2)) - 2)
A227542: 0 0 1 0 2 3 1 2 4 5 3 4 6 7 5 6
loop(\(x,i).((x + 2) - (((i mod 2) - x) * (2 + 2))),(x div 2),2)
A230928: 2 2 8 8 42 42 208 208 1042 1042 5208 5208 26042 26042 130208 130208
(if x <= 0 then 1 else (((x * x) div (2 - ((x div 2) * (x div 2)))) mod 2))
A267612: 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1
(x div ((x * 2) - (if x <= 0 then 1 else (((x div 2) * (x div 2)) div 2))))
A024162: 0 0 0 0 0 0 0 0 1 0 1 1 2 1 3 2
((loop(\(x,i).(((i + 2) * (i + 1)) + x),x,2) - (x div 2)) * 2)
A152133: 4 16 38 78 136 220 330 474 652 872 1134 1446 1808 2228 2706 3250
(((if (2 - x) <= 0 then ((2 + 1) * x) else 1) + 1) div ((x div 2) + 2))
A213251: 1 1 2 3 3 4 3 4 4 4 4 4 4 5 4 5
(((if (((x div 2) - 2) - 2) <= 0 then 1 else x) + x) div ((x div 2) + 2))
A344511-A065682: 0 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3
((if (x mod 2) <= 0 then (2 + 1) else ((x * x) * x)) * ((x div 2) + 2))
A055021: 6 2 9 81
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) * ((x div 2) mod 2))
A107628: 0 0 1 1 0 0 1 1 0 0 1 1 0 0 2 1
((((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 1) * (x mod 2)) + 2)
A073054: 2 5 2 5 2 5 2 5 2 5 2 4 2 4 2 4
(if (x - ((x * x) mod (((x + 2) + 2) + 1))) <= 0 then (x mod 2) else 2)
A101663: 0 1 0 2 0 1 2 2 0 1 0 2 2 2 2 2
(((loop(\(x,i).(x * 2),(x div 2),1) div (x + 1)) + (x mod 2)) div 2)
A266690: 0 0 0 0 0 0 0 1 0 1 1 1 2 2 4 4
(loop(\(x,i).(x * 2),((x div 2) - 2),1) div ((2 - (x mod 2)) + 2))
A326446: 0 0 0 0 0 0 0 0 1 1 2 2 4 5 8 10
(((loop(\(x,i).(x * 2),x,2) - 1) div (x + 1)) mod ((x mod 2) + 2))
A327170: 1 1 0 0 0 1 0 1 0 0 0 2 0 0 0 0
loop(\(x,i).(((x * 2) - 1) * 2),((x div 2) * 2),((x mod 2) + 2))
A268866: 2 3 22 38 342 598 5462 9558 87382 152918 1398102 2446678 22369622 39146838
loop(\(x,i).(((x mod 2) + (x * 2)) + 1),(x div 2),((x mod 2) + 2))
A260795: 2 3 5 8 12 17 25 36 52 73 105 148 212 297 425 596
(if ((x + 1) mod ((2 + 1) * 2)) <= 0 then (x div 2) else ((x mod 2) + 2))
A258115: 2 3 2 3 2 2 2 3 2 3 2 5 2 3 2 3
(loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,0) div ((x mod 2) - 2))
A152417: 0 1 3 31 78 781 1953 19531 48828 488281 1220703 12207031 30517578 305175781 762939453 7629394531
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) + ((x mod 2) * 2))
A233269: 1 3 1 3 1 3 1 4 1 3 1 3 1 3 1 4
loop(\(x,i).((0 - x) * 2),(x mod (2 + 1)),(1 - ((x mod 2) * 2)))
A132954: 1 2 4 ~1 ~2 ~4 1 2 4 ~1 ~2 ~4 1 2 4 ~1
loop(\(x,i).(((x * 2) * (0 - 2)) - 1),x,(1 - ((x mod 2) * 2)))
A112627: 1 3 19 51 307 819 4915 13107 78643 209715 1258291 3355443 20132659 53687091 322122547 858993459
(loop(\(x,i).((x - ((i + x) mod 2)) * 2),x,1) - ((x mod 2) * 2))
A097073: 1 0 4 4 12 20 44 84 172 340 684 1364 2732 5460 10924 21844
(loop(\(x,i).((x * 2) - 1),x,((2 + 2) * 2)) - ((x mod 2) * 2))
A321483: 8 13 29 55 113 223 449 895 1793 3583 7169 14335 28673 57343 114689 229375
(loop(\(x,i).(((x * 2) - (i mod 2)) + 1),x,2) - ((x mod 2) * 2))
A290604: 2 2 9 16 37 72 149 296 597 1192 2389 4776 9557 19112 38229 76456
loop(\(x,i).(((x mod 2) + 1) * ((x * 2) + 1)),x,((x mod 2) * 2))
A273050: 0 5 6 45 54 365 438 2925 3510 23405 28086 187245 224694 1497965 1797558 11983725
loop(\(x,i).(((((i mod 2) + 1) * 2) + 1) * x),x,((x mod 2) * 2))
A221414: 0 10 0 150 0 2250 0 33750 0 506250 0 7593750 0 113906250 0 1708593750
((x mod 2) - (loop(\(x,i).((x - (i mod 2)) * 2),x,(x mod 2)) div 2))
A094359: 0 1 2 2 10 6 42 22 170 86 682 342 2730 1366 10922 5462
(loop(\(x,i).(((x * 2) - ((2 + 2) div (i + 1))) + x),x,2) div 2)
A309115: 1 2 5 16
A257970: 1 2 5 16 48 144 432 1296 3888 11664 34992 104976 314928 944784 2834352 8503056
loop(\(x,i).(x * 2),x,((x - ((2 mod (2 - (x * x))) - 2)) div 2))
A074092: 1 2 8 40 144 448 1280 3456 8960 22528 55296 133120 315392 737280 1703936 3899392
(((if ((x + 1) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else 0) + x) div 2)
A194200: 0 1 1 2 2 3 3 3 4 4 5 6 6 6 7 7
((loop(\(x,i).(((i * i) * (i + 1)) + x),(x + 1),0) * x) div 2)
A293475: 0 7 50 195 560 1330 2772 5250 9240 15345 24310 37037 54600 78260 109480 149940
((1 - x) mod (((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 0) + x) div 2))
A071960: 0 0 0 0 1 0 3 2 1 0 1 0 3 2 1 0
((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,0) * x) div 2)
A208493: 0 0 1 3 18
A000274: 0 0 1 3 18 110 795 6489 59332 600732 6674805 80765135 1057289046 14890154058 224497707343 3607998868005
((loop(\(x,i).((((x * 2) + 1) * (2 + 1)) + x),x,0) - x) div 2)
A244975: 0 1 11 84 598 4199 29409 205882 1441196 10088397 70618807 494331680 3460321794 24222252595 169555768205 1186890377478
(if x <= 0 then 1 else (((x div (((2 + 2) * (2 + 1)) - 1)) + x) * 2))
A241071: 1 2 4 6 8 10 12
A271907: 1 2 4 6 8 10 12 14 16 18
A221284: 1 2 4 6 8 10 12 14 16 18 20 24 26 28 30 32
((if (((x div 2) - 2) - 2) <= 0 then ((x div (2 + 1)) + 1) else x) mod 2)
A257341: 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
loop(\(x,i).((((x * 2) * (2 + 1)) + (x mod (2 + 1))) + 1),x,2)
A037641: 2 15 91 548 3291 19747 118484 710907 4265443 25592660 153555963 921335779 5528014676 33168088059 199008528355 1194051170132
(if x <= 0 then 1 else ((((x div 2) div (((2 + 1) * 2) + 1)) + x) * 2))
A241071: 1 2 4 6 8 10 12
A271907: 1 2 4 6 8 10 12 14 16 18
A209211: 1 2 4 6 8 10 12 14 16 18 20 22 24 26 30 32
(((x * x) div ((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x)) + 2)
A062049: 2 2 3 3 4 5 6 7 8 9 10 11 13 14 15 16
(if x <= 0 then 1 else ((((x - 1) mod (((2 + 2) * 2) + 1)) + x) + 2))
A160939: 1 3 5 7 9 11 13 15 17 19 12 14 16 18 20 22
loop(\(x,i).(x * x),1,(((x div (((2 + 2) * 2) + 1)) + x) + 2))
A326707: 4 9 16 25 36 49 64 81 100 144 169 196 225 256 289 324
(x div (((((if x <= 0 then 1 else x) + 1) mod ((2 + 2) + 1)) + x) div 2))
A001179: 0 1 1 1 2 1 1 1 1 2 2 1 1 1 2 1
loop(\(x,i).(((x * x) - 1) * x),1,((((2 + 2) + 1) * x) + 2))
A001509: 6 336 1716 4896 10626 19656 32736 50616 74046 103776 140556 185136 238266 300696 373176 456456
loop(\(x,i).((i + x) - (((x div (2 + 1)) + 1) div (2 + 1))),x,2)
A131073: 2 3 5 8 11 15 19 24 29 35 41 48 55 62 69 76
((loop(\(x,i).(x div 2),((2 - x) + (2 + 1)),(2 + 1)) + x) + 2)
A254318: 2 3 4 5 7 10 11 12 13 14 15 16 17 18 19 20
loop(\(x,i).((i + x) - ((x - (x div (2 + 1))) div (2 + 1))),x,2)
A302334: 2 3 5 7 10 13 16 20 24 28 32 36 40 44 48 53
(loop(\(x,i).((x + 2) - (2 div ((x div 2) + 1))),(2 + 1),x) + 2)
A008522: 2 3 8 10 12 13 14 15 16 17 18 19 20 21 22 23
loop(\(x,i).((((x + 1) * x) * ((x div 2) + 1)) div (2 + 1)),x,2)
A099179: 2 4 20 1540 609896980 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) + ((x + 1) mod (2 + 1))),x,2)
A037515: 2 12 73 440 2640 15841 95048 570288 3421729 20530376 123182256 739093537 4434561224 26607367344 159644204065 957865224392
loop(\(x,i).(((x * 2) * (2 + 1)) + ((x - 1) mod (2 + 1))),x,2)
A037523: 2 13 78 470 2821 16926 101558 609349 3656094 21936566 131619397 789716382 4738298294 28429789765 170578738590 1023472431542
loop(\(x,i).((((x * 2) * 2) * 2) + ((i - 1) mod (2 + 1))),x,2)
A037517: 2 16 129 1034 8272 66177 529418 4235344 33882753 271062026 2168496208 17347969665 138783757322 1110270058576 8882160468609 71057283748874
loop(\(x,i).((((2 + 2) + 1) * x) + ((i - 1) mod (2 + 1))),x,2)
A037514: 2 10 51 257 1285 6426 32132 160660 803301 4016507 20082535 100412676 502063382 2510316910 12551584551 62757922757
loop(\(x,i).(((i + 2) mod (2 + 2)) + ((x * 2) * (2 + 1))),x,2)
A037746: 2 15 90 541 3248 19491 116946 701677 4210064 25260387 151562322 909373933 5456243600 32737461603 196424769618 1178548617709
loop(\(x,i).((2 - ((x div 2) mod 2)) + ((x * 2) * (2 + 1))),x,2)
A037571: 2 13 80 482 2893 17360 104162 624973 3749840 22499042 134994253 809965520 4859793122 29158758733 174952552400 1049715314402
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) div (((2 + 1) * x) + 2))
A191627: 1 1 3 7 17 42 109 285 757 2036 5535 15184 41955 116657 326111 915887
loop(\(x,i).(x div (2 - (x mod 2))),(x + 1),(((2 + 1) * x) + 2))
A075677: 1 5 1 11 7 17 5 23 13 29 1 35 19 41 11 47
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 1) * x) + 2))
A016793: 32 3125 32768 161051 537824 1419857 3200000 6436343 11881376 20511149 33554432 52521875 79235168 115856201 164916224 229345007
(loop(\(x,i).(((x + 2) * x) + 1),2,2) * (((2 + 1) * x) + 2))
A109632: 200 500 800 1100 1400 1700 2000 2300 2600 2900 3200 3500 3800
loop(\(x,i).(2 - ((i mod 2) - (((2 + 1) * x) * (2 + 1)))),x,2)
A037494: 2 19 173 1558 14024 126217 1135955 10223596 92012366 828111295 7453001657 67077014914 603693134228 5433238208053 48899143872479 440092294852312
loop(\(x,i).(((((x * 2) * 2) + 1) * 2) - (i mod (2 + 1))),x,2)
A037525: 2 17 136 1090 8721 69768 558146 4465169 35721352 285770818 2286166545 18289332360 146314658882 1170517271057 9364138168456 74913105347650
loop(\(x,i).(((((2 + 2) + 1) * x) + 2) - (i mod (2 + 1))),x,2)
A037522: 2 11 55 277 1386 6930 34652 173261 866305 4331527 21657636 108288180 541440902 2707204511 13536022555 67680112777
loop(\(x,i).(x div (2 - (x mod 2))),2,((((x + 2) + 1) * x) div 2))
A125650: 0 1 5 9 7 5 27 35 11 27 65 77 45 26 119 135
(((loop(\(x,i).(x * x),2,(x * 2)) div ((x * 2) + 1)) + x) div 2)
A211622: 0 3 26 94 229 457 800 1284 1931 2767 3814 5098 6641 8469 10604 13072
((loop(\(x,i).((x * 2) * 2),(x * 2),((x * 2) - 1)) * x) div 2)
A268148: 0 8 768 30720 917504 23592960 553648128 12213813248 257698037760 5257039970304 104453604638720 2031897488130048 38843546786070528 731834939447705600 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (x mod 2)) + 1),x,2)
A037495: 2 21 212 2121 21212 212121 2121212 21212121 212121212 2121212121 21212121212 212121212121 2121212121212 21212121212121 212121212121212 2121212121212121
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (i div 2)) + 1),x,2)
A024763: 2 21 212 2122
(x - (loop(\(x,i).(((x * x) * x) div (2 + 1)),x,(1 - x)) div 2))
A152859: 0 1 3 125 4611686018427387903
loop(\(x,i).(2 - x),x,((((((2 + 2) + 1) * x) + 1) * x) div 2))
A266088: 0 ~1 11 ~22 42 ~63 93 ~124 164 ~205 255 ~306 366 ~427 497 ~568
((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,1) + x) div 2)
A216779: 0 0 1 2 6 24 135 930 7420 66752 667485 7342290 88107426 1145396472 16035550531 240533257874
(((((((if (x mod 2) <= 0 then x else 1) + x) * 2) + x) + 1) * x) div 2)
A225144: 0 3 11 18 42 45 93 84 164 135 255 198 366 273 497 360
(compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 2)
A291109: 2 5 7 9 10 11 13 15 16 17 19 21 22 23 25 26
(compr(\x.(loop(\(x,i).((x + 1) * x),(2 + 1),2) mod (x + 1)),x) + 2)
A227007: 2 3 4 7 8 15 22 43 44 87 130 259 302 603 904 1807
((loop(\(x,i).(((i + x) * x) div (i + 1)),2,(x + 1)) + x) + 2)
A014628: 3 8 20 45 91 168 288 465 715 1056 1508 2093 2835 3760 4896 6273
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) * (x + 1)) + x) * 2))
A017372: 16777216 11019960576 377801998336 4347792138496 28179280429056 128063081718016 457163239653376 1370114370683136 3596345248055296 8507630225817856 18509302102818816 37588592026706176 72057594037927936 131532383853732096 230193853492166656
loop(\(x,i).((x * x) * x),1,((((2 + 2) * (x + 1)) + x) * 2))
A017367: 512 5832 21952 54872 110592 195112 314432 474552 681472 941192 1259712 1643032 2097152 2628072 3241792 3944312
loop(\(x,i).((x * x) * x),2,((((2 + 2) * (x + 1)) + x) * 2))
A017373: 134217728 198359290368 10578455953408 165216101262848 1352605460594688 7427658739644928 31087100296429568 106868920913284608 316478381828866048 833747762130149888 1999004627104432128
((loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),(x + 1)) + x) + 2)
A158404: 842 1683 2524 3365 4206 5047 5888 6729 7570 8411 9252 10093 10934 11775 12616 13457
((loop(\(x,i).((i mod 2) + (x * 2)),x,2) + ((x + 1) * x)) div 2)
A081661: 1 3 8 16 31 57 106 198 377 727 1420 2796 5539 11013 21950 43810
(loop(\(x,i).(((i * 2) + x) * 2),x,0) - (((x + 1) * x) div 2))
A277411: 0 3 13 38 94 213 459 960 1972 4007 8089 16266 32634 65385 130903 261956
((if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1) + (((x + 1) * x) div 2))
A013660: 1 2 5 7 11
A089781: 1 2 5 7 11 16 23 29 37 46 57 67 79 92 107 121
((loop(\(x,i).(x * x),1,(((x * x) * x) * (x + 1))) * x) div 2)
A163277: 0 2 576 17496 204800 1406250 6858432 26353376 84934656 239148450 605000000 1403076312 3027787776 6149354666 11859019200 21870000000
(loop(\(x,i).((x + 2) * (x + 2)),2,1) - (((x - 1) * x) div 2))
A137517: 121 121 120 118 115 111 106 100 93 85 76 66 55 43 30 16
(((((x div (0 - 2)) mod (2 + 1)) + 2) mod (if x <= 0 then 1 else x)) div 2)
A308884: 0 0 0 0 1 1 1 2 2 1 1 1 1 2 2 1
((((x div ((x mod (0 - 2)) - 2)) * 2) mod (if x <= 0 then 1 else x)) + 2)
A164024: 2 2 2 3 2 3 2 3 2 5 2 5 2 5 2 7
(x - (((x div (((x mod 2) + 2) + 2)) - (if x <= 0 then 1 else x)) div 2))
A248565: 1 2 3 5 6 7 9 10 11 13 14 16 17 19 20 21
(((x * 2) * 2) - ((((x div 2) mod 2) - (if x <= 0 then 1 else x)) div 2))
A301291: 1 5 9 13 18 23 27 31 36 41 45 49 54 59 63 67
(((((2 + 1) * x) + 1) * (2 + 1)) + ((if x <= 0 then 1 else x) mod 2))
A063121: 4 13 21 31 39 49 57 67 75 85 93 103 111 121 129 139
((((2 + 2) * (2 + 1)) + 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A040157: 13 13 26 13 26 13 26 13 26 13 26 13 26 13 26 13
(((((2 + 2) * 2) * 2) + 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A040273: 17 17 34 17 34 17 34 17 34 17 34 17 34 17 34 17
((if x <= 0 then 1 else (2 + 2)) - (((((1 - x) * x) - 1) * x) div 2))
A076860: 1 5 7 15 30
loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),x,2)
A025225: 2 4 16 80 448 2688 16896 109824 732160 4978688 34398208 240787456 1704034304 12171673600 87636049920 635361361920
(loop(\(x,i).((((x + 2) * i) * ((x + 2) + 1)) + 1),2,x) - 2)
A062651: 179 479
(loop(\(x,i).((((2 + 1) * x) - 1) div ((2 + 2) + 1)),2,x) + 2)
A087817: 1 1 2 2 3 3 3 4 4 4 4 5 6 6 6 6
(loop(\(x,i).(2 - ((x - 2) div (((x mod 2) * 2) + 1))),2,x) div 2)
A078898: 0 1 1 1 2 1 3 1 4 2 5 1 6 1 7 3
loop(\(x,i).(x - ((i mod 2) - (((x * 2) * (2 + 1)) + 2))),x,2)
A037492: 2 15 107 750 5252 36765 257357 1801500 12610502 88273515 617914607 4325402250 30277815752 211944710265 1483612971857 10385290803000
(compr(\x.(((loop(\(x,i).(x * 2),x,1) mod (x + 2)) + 1) mod 2),x) + 2)
A086807: 2 5 13 17 29 37 41 53 61
loop(\(x,i).(x - (((x div 2) mod 2) - (((x * 2) + 1) * 2))),x,2)
A037554: 2 11 56 282 1411 7056 35282 176411 882056 4410282 22051411 110257056 551285282 2756426411 13782132056 68910660282
(((loop(\(x,i).(((i mod 2) + x) + (x * 2)),x,1) + 2) * x) div 2)
A126875: 0 3 14 58 226
loop(\(x,i).((x - (((x - 1) * (2 + 1)) div (i + 1))) * 2),x,2)
A291299: 2 2 2 4 6 8 10 14 20 30
(((((x - (if ((x div 2) - 2) <= 0 then 1 else 0)) div 2) div 2) + x) + 2)
A287727: 1 3 4 5 6 8 9 10 12 13 14 15 17 18 19 20
((2 - x) div ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 2 else x) + 2))
A030621: 0 0 0 ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~2 ~1 ~1 ~1 ~1 ~1
loop(\(x,i).((((x * 2) * 2) - ((i mod (2 + 1)) mod 2)) + 2),x,2)
A037569: 2 9 38 154 617 2470 9882 39529 158118 632474 2529897 10119590 40478362 161913449 647653798 2590615194
(loop(\(x,i).(((((x - 1) div 2) - 2) mod (x + 1)) + 2),2,x) div 2)
A140225: 1 1 2 1 1 1 1 2 2 3 3 1 1 1 1 1
(loop(\(x,i).((x div (((x mod 2) * (2 + 1)) + 2)) + 2),2,x) div 2)
A268057-A107435: 1 1 1 1 2 1 1 1 2 1 1 2 3 2 1 1
loop(\(x,i).(x * 2),x,((((((2 + 2) * 2) * 2) * 2) + x) + 2))
A079863: 34 70 144 296 608 1248 2560 5248 10752 22016 45056 92160 188416 385024 786432 1605632
(2 div ((x + 2) div (if ((1 - x) mod ((2 + 2) * 2)) <= 0 then x else 2)))
A231366: 2 0 1 1 0 0 0 0 0 2 0 0 0 0 0 0
loop(\(x,i).(((x + 1) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,2)
A037748: 2 19 152 1217 9738 77907 623256 4986049 39888394 319107155 2552857240 20422857921 163382863370 1307062906963 10456503255704 83652026045633
loop(\(x,i).(((x - 1) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,2)
A037734: 2 17 136 1091 8730 69841 558728 4469827 35758618 286068945 2288551560 18308412483 146467299866 1171738398929 9373907191432 74991257531459
(((if (x - 2) <= 0 then 1 else ((x - ((x div 2) mod 2)) div 2)) + x) + 2)
A253897: 3 4 5 6 8 9 10 12 14 15 16 18 20 21 22 24
loop(\(x,i).(x * x),1,((((x - ((x div 2) mod 2)) div 2) + x) + 2))
A106575: 4 9 16 36 64 81 100 144 196 225 256 324 400 441 484 576
loop(\(x,i).((((2 + 2) + 1) * x) + ((i + 2) mod (2 + 2))),x,2)
A037745: 2 13 65 326 1632 8163 40815 204076 1020382 5101913 25509565 127547826 637739132 3188695663 15943478315 79717391576
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else (x div (2 + 2))) + x) * 2)
A309239: 2 4 6 8 10 12 14 16 18 22 24 26 30 32 34 36
loop(\(x,i).((((x div 2) + x) mod (2 + 2)) + ((x * 2) * 2)),x,2)
A037625: 2 11 44 178 715 2860 11442 45771 183084 732338 2929355 11717420 46869682 187478731 749914924 2999659698
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + x) + 2)
A307295: 2 3 5 6 7 8 10 11 13 14 15 16 18 19 20 21
(((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) div 2) + x) * 2)
A189782: 2 4 8 10 14 16 20 22 26 28 30 34 36 40 42 46
loop(\(x,i).((((x * 2) - ((i mod (2 + 1)) mod 2)) + x) + 2),x,2)
A129669: 2 7 23 71
A037568: 2 7 23 71 214 644 1934 5803 17411 52235 156706 470120 1410362 4231087 12693263 38079791
(compr(\x.((loop(\(x,i).(x * 2),(x div 2),2) + 1) mod (x + 2)),x) + 2)
A319041-A175865-A059646-A059644-A059350-A003629: 3 5 11 13 19 29 37 43 53 59 61 67 83 101 107 109
(compr(\x.(1 - (loop(\(x,i).(i * x),(x div 2),1) mod (x + 2))),x) + 2)
A178156: 2 3 4 5 6 7 8 9 10 11 13 14 17 19 22 23
loop(\(x,i).((((((2 + 2) * (i + 1)) + 1) * i) + x) + 2),x,2)
A219054: 2 13 41 94 180 307 483 716 1014 1385 1837 2378 3016 3759 4615 5592
((((((x * 2) * 2) + 1) * x) + (if x <= 0 then 0 else 1)) * (x + 2))
A296363: 0 18 76 200 414 742 1208 1836 2650 3674 4932 6448 8246 10350 12784 15572
(if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then 1 else (x + 2))
A089027: 1 1 1 5 1 7 1 9 10 1 12 13 1 15 16 17
((loop(\(x,i).((i + 1) * (x + 1)),(x + 1),1) - 1) * (x + 2))
A141834: 6 42 252 1620 11730 95886 876792 8877672 98640990 1193556210 15624736116 220048367292 3317652307242 53319412081110 909984632851440 16436597430879696
((loop(\(x,i).((x mod (i + 1)) + x),(x - 1),1) + 1) div (x + 2))
A283875-A099773: 1 0 0 1 0 1 1 1 1 1 2 2 2 3 3 3
((if (x mod (2 + 2)) <= 0 then (((x - 2) * 2) - 1) else 1) mod (x + 2))
A204131: 1 1 1 1 3 1 1 1 1 1 1 1 5 1 1 1
((loop(\(x,i).((((i * 2) + 1) * x) * 2),x,1) + 1) div (x + 2))
A262035: 1 2 15 168 2520 47520 1081080 28828800 882161280 30474662400 1173274502400 49819040409600 2313026876160000 116576554558464000 4611686018427387903 4611686018427387903
(if ((x mod (((x mod (2 + 1)) * 2) + 1)) - 2) <= 0 then 1 else (x + 2))
A279051: 1 1 1 1 1 1 1 1 10 1 1 1 1 1 16 1
(if ((x + 2) mod (2 - (x mod ((0 - 2) - 2)))) <= 0 then 1 else (x + 2))
A090585: 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17
(x div (if x <= 0 then 1 else ((x * x) mod (((2 + 2) + 1) * (x + 2)))))
A341743: 0 1 0 0 0 0 0 1 0 0 0 0 3 0 0 0
(((loop(\(x,i).((x + 2) * (x + 1)),2,2) + x) - 1) div (x + 2))
A161823: 90 60 45 36 30 26 23 20 18 17 15 14 13 12 12 11
(loop(\(x,i).(((x * 2) - (x div (2 + 2))) + 2),x,1) div (x + 2))
A202278: 0 1 2 3 5 8 13 21 34 55 89
((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) div (x + 2))
A180103: 50 66 75 80 83 85 87 88 90 90 91 92 92 93 93 94
loop(\(x,i).((((2 + 2) * 2) * 2) * ((i * x) - 1)),2,(x + 2))
A157447: 496 1008 1520 2032 2544 3056 3568 4080 4592 5104 5616 6128 6640 7152 7664 8176
((loop(\(x,i).((((i * 2) - 1) * x) * 2),x,x) + 2) div (x + 2))
A272688: 1 1 6 72 1120 21600 498960 13453440 415134720 14435366400
(loop(\(x,i).((x * x) * x),(2 + 1),((x * x) + 2)) * (x + 2))
A137492: 268435456 22876792454961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else (((((2 + 2) * 2) * 2) + 1) * x)) div (x + 2))
A006186: 1 5 8 10 11 12 12 13 13 13
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + (x + 2))
A090178: 2 4 6 9 12 17 20 25 28 33 40 43 50 55 58 63
(((((x mod 2) + 2) * 2) * 2) + ((if x <= 0 then 1 else x) * (x + 2)))
A076226: 10 15 16 27
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (x + 2))
A095116: 2 4 7 10 15 18 23 26 31 38 41 48 53 56 61 68
(((((if (x - (2 + 2)) <= 0 then 1 else x) + x) * 2) + x) div (x + 2))
A130535: 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4
(loop(\(x,i).(x - (x div (((2 + 2) * 2) - i))),2,x) + (x + 2))
A161602: 2 4 6 8 10 12 13 14 16 18 20 22 24 25 26 28
loop(\(x,i).((((x * x) div ((2 + 2) * 2)) + 1) div 2),2,(x - 2))
A326526-A326525-A326524-A326522: 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 8
(((if (x mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 0) * x) * (x - 2))
A282230: 0 0 0 0 0 0 0 0 0 0 0 0 240 0 0 0
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - (x - 2))
A086969-A014692: 2 2 3 4 7 8 11 12 15 20 21 26 29 30 33 38
((if (((x * 2) mod ((x div 2) + 1)) - 1) <= 0 then 1 else 0) + (x * 2))
A190333: 1 3 5 7 8 11 13 14 17 18 20 22 24 26 28 30
((if (((x mod 2) - 2) + (x div (2 + 1))) <= 0 then 1 else 0) + (x * 2))
A187472: 1 3 5 7 9 11 13 14 17 18 20 22 24 26 28 30
((if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then 1 else 0) + (x * 2))
A189397: 1 3 5 7 9 11 13 15 17 19 21 22 25 27 29 31
((if ((x div ((2 - (x mod 2)) * 2)) - 2) <= 0 then 1 else 0) + (x * 2))
A187411: 1 3 5 7 9 11 13 14 17 18 21 22 24 26 28 30
((if ((x div 2) - (((x mod 2) + 2) * 2)) <= 0 then 1 else 0) + (x * 2))
A187349: 1 3 5 7 9 11 13 15 17 19 20 23 24 27 28 30
((if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1) + (x * 2))
A190053: 1 3 5 7 9 11 14 15 17 19 21 23 25 28 29 31
((if x <= 0 then 1 else ((x * x) div ((2 + 2) * (2 + 1)))) + (x * 2))
A231408: 1 2 4 6 9
A130664: 1 2 4 6 9 12 15 18 21 24 28 32 36 40 44 48
((if (2 - x) <= 0 then (((x div (2 + 1)) * x) mod 2) else 1) + (x * 2))
A295771: 1 3 4 7 8 11 12 14 16 19 20 23 24 26
(loop(\(x,i).(x - (x div ((i * 2) + 1))),2,(x + 1)) + (x * 2))
A231407: 1 4 6
A190304: 1 4 6 9 12 14 16 19 21 24 27 29 32 34 36 39
(loop(\(x,i).(x - (i - (x div (2 + 2)))),x,(x + 1)) + (x * 2))
A298808: 1 3 4 6 6 3 1
loop(\(x,i).((((x + 1) mod (2 + 1)) * 2) + 1),(x - 1),(x * 2))
A234255: 0 2 5 3 1 1 3 5 5 3 1 1 3 5 5 3
(((((x - 1) div 2) * (x div 2)) div 2) + (if x <= 0 then 1 else (x * 2)))
A231408: 1 2 4 6 9
A337134: 1 2 4 6 9 12 15 18 22 26 30 34 39 44 49 54
(((x - (if ((x div (2 + 2)) - 2) <= 0 then 1 else 0)) mod 2) + (x * 2))
A227149: 1 2 5 6 9 10 13 14 17 18 21 22 24 27 28 31
((if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 1 else 2) + (x * 2))
A231407: 1 4 6
A175074: 1 4 6 8 10 12 14 16 18 20 22 24 26 27 30 32
((if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then 1 else 2) + (x * 2))
A231407: 1 4 6
A161576: 1 4 6 8 9 12 14 16 18 20 21 24 25 28 30 32
((loop(\(x,i).((x + 2) * (x + 2)),(2 + 1),1) * x) - (x * 2))
A004975-A004955: 0 15127 30254 45381 60508 75635 90762 105889 121016 136143 151270 166397 181524 196651 211778 226905
((loop(\(x,i).i,(x - (x mod ((x mod 2) + 2))),1) + x) + (x * 2))
A321177: 1 4 8 12 16 18 24 27 32 36 40
(compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) - (x * 2))
A192326: 0 0 0 0 2 2 4 4 6 10 10 14 16 16 18 22
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x * 2))
A162551: 0 2 8 30 112 420 1584 6006 22880 87516 335920 1293292 4992288 19315400 74884320 290845350
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x * 2))
A246574: 0 4 20 84 336 1320 5148 20020 77792 302328 1175720 4576264 17829600 69535440 271455660 1060730100
((loop(\(x,i).((x * 2) - 1),(x - (2 + 1)),x) - x) * (x * 2))
A052760: 0 0 0 0 24 120 420 1260 3472 9072 22860 56100 134904 319176 745108 1719900
(loop(\(x,i).((((i * i) div (2 + 1)) + x) + 1),x,1) + (x div 2))
A007979: 1 2 5 9 16 25 39 56 79 107 142 183 233 290 357 433
(((loop(\(x,i).(((i * i) * x) + 1),x,2) * x) + 1) + (x div 2))
A309147: 1 4 28 356
(((if (x mod 2) <= 0 then 1 else ((2 + 1) * 2)) * (x + 1)) - (x div 2))
A335043: 1 12 2 23 3 34 4 45 5 56 6 67 7 78 8 89
((x + 1) mod ((if (x mod (2 + 2)) <= 0 then (0 - 1) else 2) + (x div 2)))
A060755: 0 0 0 1 0 2 2 3 0 4 4 5 3 6 6 7
((if (x mod (((x mod (2 + 1)) + 2) * 2)) <= 0 then 1 else 2) + (x div 2))
A324475: 1 2 3 3 4 4 5 5 5 6 7 7 7 8 9 9
((if (x mod 2) <= 0 then 1 else ((((2 + 2) + 1) * 2) * 2)) + (x div 2))
A303849-A303847: 1 20 2 21 3 22 4 23 5 24 6 25 7 26 8 27
((((if (x mod 2) <= 0 then 1 else (2 + 2)) + (x * 2)) * 2) - (x div 2))
A166544: 2 12 9 19 16 26 23 33 30 40 37 47 44 54 51 61
((((if (x mod 2) <= 0 then 1 else ((2 + 1) * 2)) + x) * 2) + (x div 2))
A168207: 2 14 7 19 12 24 17 29 22 34 27 39 32 44 37 49
(((if ((x div 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + x) + (x div 2))
A189729: 2 3 4 5 7 8 10 11 13 14 17 18 19 20 22 23
(((if (x - ((2 + 2) mod (x + 2))) <= 0 then 2 else 1) + x) + (x div 2))
A067118: 2 3 4 6 8 8 10 11 13 14 16 17 19 20 22 23
(((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x)) + (x div 2))
A060969: 0 0 1 1 2 2 3 3 4 4 5 6 8 9 11 12
((((x * 2) div ((x div 2) + 2)) + (if x <= 0 then 1 else x)) + (x div 2))
A298861: 1 2 4 6 8 9 11 12 14 16 17 19 21 22 24 25
((if (((x * x) + 1) mod ((x div 2) + 1)) <= 0 then 0 else 1) + (x mod 2))
A165034: 0 1 1 1 1 2 1 2 0 2 1 2 1 2 1 2
((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 1) + (x mod 2))
A327403-A124766: 0 1 1 1 1 2 1 1 1 2 1 2 1 2 1 1
(((if (x mod (2 + 1)) <= 0 then 1 else (x div (2 + 1))) + 1) * (x mod 2))
A172441: 0 1 0 2 0 2 0 3 0 2 0 4 0 5 0 2
((if (((x div (2 + 1)) + 1) mod (2 + 2)) <= 0 then 2 else 1) + (x mod 2))
A083897: 1 2 1 2 1 2 1 2 1 3 2 3 1 2 1 2
((loop(\(x,i).(x * 2),x,1) div (((2 + 2) * 2) + 1)) + (x mod 2))
A131090: 0 1 0 1 1 4 7 15 28 57 113 228 455 911 1820 3641
((if (((x * x) div 2) mod (2 + 1)) <= 0 then (2 + 2) else 1) - (x mod 2))
A131027: 4 3 1 0 1 3 4 3 1 0 1 3 4 3 1 0
((if (((x - 1) div (2 + 1)) mod 2) <= 0 then (2 + 2) else 1) - (x mod 2))
A254745: 1 3 4 3 1 0 1 3 4 3 1 0 1 3 4 3
loop(\(x,i).(((x * 2) + 1) * (2 + 1)),((x div 2) + 1),(x mod 2))
A026551: 3 9 21 57 129 345 777 2073 4665 12441 27993 74649 167961 447897 1007769 2687385
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) - (x mod 2))
A290191: 1 10 111 1110 11111 111110 1111111 11111110 111111111 1111111110 11111111111 111111111110 1111111111111 11111111111110 111111111111111 1111111111111110
(loop(\(x,i).(((x + 1) * x) + ((x mod 2) - 1)),x,1) + (x mod 2))
A109173: 1 3 5 31 929 863971 746445024869 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x - (i mod 2)) div 2) + x) * 2),x,1) + (x mod 2))
A307685: 1 3 6 17 48 143 426 1277
((if (((x * x) div 2) mod (2 + 1)) <= 0 then 1 else (0 - 2)) - (x mod 2))
A100219: 1 0 ~2 ~3 ~2 0 1 0 ~2 ~3 ~2 0 1 0 ~2 ~3
((if (((x * x) + 1) mod ((x div 2) + 1)) <= 0 then 1 else 2) + (x mod 2))
A165035: 1 2 2 2 2 3 2 3 1 3 2 3 2 3 2 3
((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 2) + (x mod 2))
A163671: 1 2 2 2 2 3 2 2 2 3 2 3 2 3 2 2
(loop(\(x,i).((x * 2) + 1),((x div 2) div (2 + 1)),2) * (x mod 2))
A307692: 0 2 0 2 0 2 0 5 0 5 0 5 0 11 0 11
((((x mod (2 + 1)) div 2) * (if (x - 2) <= 0 then 1 else 2)) + (x mod 2))
A339558: 0 1 1 1 0 3 0 1 2 1 0 3 0 1 2 1
(((if x <= 0 then 2 else (((x div 2) * x) div (2 + 2))) div 2) + (x mod 2))
A133564: 1 1 0 1 1 2 2 3 4 5 6 7 9 10 12 14
(((if (x mod (2 + 2)) <= 0 then x else (x + 1)) * (2 + 2)) - (x mod 2))
A072834: 0 7 12 15 16 23 28 31 32 39 44 47 48 55 60 63
(loop(\(x,i).(x * 2),x,1) - ((2 - (x mod (2 + 2))) * (x mod 2)))
A007679: 1 1 4 9 16 31 64 129 256 511 1024 2049 4096 8191 16384 32769
(((if ((x mod (2 + 1)) - 1) <= 0 then 2 else 0) + 1) * (2 - (x mod 2)))
A129203: 6 3 2 3 6 1 6 3 2 3 6 1 6 3 2 3
(loop(\(x,i).((i + 2) * x),((x * 2) + 1),2) * (2 - (x mod 2)))
A301898: 12 120 10080 362880 79833600 6227020800 2615348736000 355687428096000 243290200817664000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i + 2) * i) div 2) + x) + 1),x,2) - (x mod 2))
A173809: 2 3 9 16 30 47 73 104 146 195 257 328 414 511 625 752
loop(\(x,i).((((x div 2) - (x * 2)) * 2) + 1),(x div 2),(x mod 2))
A287479: 0 1 1 ~3 ~3 9 9 ~27 ~27 81 81 ~243 ~243 729 729 ~2187
loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),(x mod 2))
A094626: 0 1 2 12 22 122 222 1222 2222 12222 22222 122222 222222 1222222 2222222 12222222
(loop(\(x,i).((((x * x) + 1) div 2) + (x mod 2)),2,x) - (x mod 2))
A212740: 0 1 2 17 32 97 162 337 512 881 1250 1921 2592 3697 4802 6497
(loop(\(x,i).((((x - i) * 2) + 1) * ((2 + 2) + 1)),x,x) * 2)
A089906: 0 10 270 4650 66430 864210 10641990 126419770 1464197550 16641975330 186419753110 2064197530890 22641975308670 246419753086450 2664197530864230 28641975308642010
loop(\(x,i).(((((x + 2) + 1) * (2 + 1)) * (2 + 1)) + x),x,2)
A276509: 2 47 497 4997 49997 499997 4999997 49999997 499999997 4999999997 49999999997 499999999997 4999999999997 49999999999997 499999999999997 4999999999999997
(loop(\(x,i).((x * 2) - (2 - (2 div ((x div 2) + 1)))),x,x) + 2)
A260790: 2 4 7 16 36 100
(compr(\x.(2 - loop(\(x,i).(x div (((x mod 2) * 2) + 1)),2,x)),x) + 2)
A088224: 4 6 8 9 10 12 14 15 16 18 20 21 22 23 24 25
(loop(\(x,i).(((x - ((1 - x) mod (2 + 1))) div 2) + 2),x,x) div 2)
A214364: 0 1 1 1 2 1 2 1 1 2 1 2 1 1 1 2
((loop(\(x,i).((((x + 1) * x) div 2) mod (2 + 2)),2,x) + x) div 2)
A327041: 0 1 2 3 3 3 3 3 4 5 6 7 7 7 7 7
((loop(\(x,i).(((x * x) + 2) div ((x + 2) + 2)),2,x) + x) * 2)
A339331: 0 2 4 6 10 12 14 18 22 24 28 32 36 40 44 46
(((if ((x div 2) - 2) <= 0 then 1 else ((x div (2 + 2)) * x)) + x) mod 2)
A171894: 1 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0
((loop(\(x,i).(((i + x) * x) - 1),(x - 1),1) + (x * x)) div 2)
A192225: 0 1 2 5
A293023: 0 1 2 5 12 70
(((loop(\(x,i).(((x * x) + 1) * x),x,1) + 1) - (x * x)) div 2)
A334304: 1 1 3 501
(loop(\(x,i).(((x * x) * x) * ((x * x) + 1)),1,(x * x)) div 2)
A168564: 0 1 544 29889 526336 4890625 30256416 141296449 537001984 1743657921 5000500000 12969598081 30960175104 68931659329 144631092256 288330890625
(loop(\(x,i).(((((x * x) * x) + 1) * x) * x),1,(x * x)) div 2)
A168220: 0 1 520 29565 524416 4883125 30233736 141238825 536872960 1743395481 5000005000 12968719621 30958692480 68929260205 144627346696 288325220625
(((if ((x div 2) mod 2) <= 0 then 1 else ((x + 1) * 2)) + (x * x)) div 2)
A335298: 0 1 5 8 8 13 25 32 32 41 61 72 72 85 113 128
((((if (x mod 2) <= 0 then (2 + 2) else 1) * 2) * 2) mod ((x * x) + 2))
A177241: 0 1 4 4 16 4 16
((loop(\(x,i).(i * x),x,(2 + 1)) + (x * x)) div ((x * x) + 2))
A059687: 1 1 1 2 4 14 57
((if (x - (2 + 1)) <= 0 then 2 else ((x + 2) * x)) + ((x * x) * 2))
A090246: 2 4 10 20 56
(((if (x mod 2) <= 0 then ((2 + 1) * x) else 1) + 2) + ((x * x) div 2))
A338043: 2 3 10 7 22 15 38 27 58 43 82 63 110 87 142 115
(loop(\(x,i).((x * x) * (x + 1)),1,((x * x) * (x * x))) div 2)
A170776: 0 1 2176 269001 8421376 122265625 1089230976 6923526001 34368126976 141236291601 500050000000 1569321367801 4458265214976 11649450426601 28347694082176 64874450390625
(loop(\(x,i).(((x * x) + 1) * x),1,((x * x) * (x * x))) div 2)
A168227: 0 1 2056 265761 8388736 122070625 1088391816 6920644801 34359740416 141214771521 500000005000 1569214195681 4458050234496 11649042575521 28346956206856 64873168970625
(((loop(\(x,i).((x * x) * x),2,x) + (x * x)) * (x * x)) div 2)
A168225: 0 1 1032 88614 2097280 24414375 181399176 988664572 4294969344 15690533085 50000005000 142655842626 371504195712 896080211299 2024782604040 4324877955000
(loop(\(x,i).((x + 1) * x),1,(((x * x) * x) * (x * x))) div 2)
A071236: 0 1 528 29646 524800 4884375 30236976 141246028 536887296 1743421725 5000050000 12968792826 30958806528 68929431571 144627596400 288325575000
(loop(\(x,i).(x * x),(x - 1),(((x * x) * x) * (x * x))) * 2)
A275002: 0 2 2048 6973568802 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - (((1 - ((if (x - (2 + 2)) <= 0 then 1 else x) + x)) * x) div 2))
A111274: 1 2 3 6 9 24
(compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x) * 2)
A085406-A022340: 0 2 4 8 10 16 18 20 32 34 36 40 42 64 66 68
(loop(\(x,i).(((x * x) * x) * (x + 1)),1,((x * x) * x)) div 2)
A170785: 0 1 2304 275562 8519680 123046875 1093430016 6940820404 34426847232 141408478485 500500000000 1570393162206 4460630114304 11654344810927 28357286711040 64892390625000
(loop(\(x,i).((((x * x) * x) + 1) * x),1,((x * x) * x)) div 2)
A168190: 0 1 2052 265734 8388640 122070375 1088391276 6920643772 34359738624 141214768605 500000000500 1569214189026 4458050224992 11649042562339 28346956189020 64873168947000
(((((2 + 2) * 2) + 1) * (2 + 1)) + loop(\(x,i).(x * x),x,2))
A273547: 29 31 43 283 65563
(((loop(\(x,i).(x * x),2,((x * x) * x)) + (x * x)) * x) div 2)
A168191: 0 1 4100 797175 33554464 610351625 6530347116 48444505375 274877907200 1270932914529 5000000000500 17261356072631 53496602690400 151437553297225 396857386628444 973097534181375
loop(\(x,i).(((((x div (2 + 2)) + 2) + 2) + (i * x)) - x),x,2)
A324148: 2 4 9 24 82
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * i),x,2)
A110371: 2 4 20 168 2016 31680 617760 14414400 392071680 12189864960 426645273600 16606346803200 711700577280000 33307587016704000 1690360041097728000 4611686018427387903
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then ((2 + 2) + 1) else 0) + x)
A325645: 0 1 2 3 9 5 6 7 8 14 10 11 12 13 19 15
compr(\x.(if (x mod 2) <= 0 then (((x * x) div (2 + 1)) mod (2 + 1)) else 0),x)
A039231: 0 1 3 5 6 7 8 9 10 11 12 13 15 17 18 19
((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then (x + 1) else 0) + x)
A103205: 0 1 2 3 4 5 6 7 8 19 10 11 12 13 14 15
((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 0) + x)
A325805: 0 1 2 3 4 5 6 15 8 9 10 11 12 13 14 23
compr(\x.(if (x mod 2) <= 0 then ((x + 1) mod ((x div (2 + 2)) + 2)) else 0),x)
A081534: 1 3 5 7 9 11 13 14 15 17 19 20 21 23 25 27
compr(\x.(if (x mod 2) <= 0 then (((x div (2 + 2)) + 2) mod (2 + 2)) else 0),x)
A173186: 1 3 5 7 8 9 10 11 13 15 17 19 21 23 24 25
(loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + 1),(x - 2),0) + x)
A276128: 0 1 2 4 6 8 10 12 14 16 18 21 24 27 30 34
(((x mod 2) - loop(\(x,i).((x * 2) - (i mod 2)),(x - 2),0)) * x)
A099431: 0 1 0 6 8 30 60 154 336 774 1700 3762 8184 17758 38220 81930
((if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then (x div 2) else 0) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A246200: 0 1 2 3 4 5 6 7 8 9 10 11 12 19 14 15
((if (x mod 2) <= 0 then ((((x * 2) * 2) * 2) + (x div 2)) else 0) + x)
A317319: 0 1 19 3 38 5 57 7 76 9 95 11 114 13 133 15
compr(\x.(if (x mod ((((x * x) mod (2 + 1)) + 2) + 2)) <= 0 then x else 0),x)
A103677: 0 1 2 3 4 6 7 8 9 11 13 14 15 16 17 18
(loop(\(x,i).((i - (((x div (2 + 2)) - 1) div 2)) + x),x,0) - x)
A219656: 0 1 3 5 8 11 15 19 24 29 34 39 45 51 57 63
(loop(\(x,i).((((i * 2) - 1) * (i + 1)) + x),x,(0 - 1)) * x)
A264851: 0 1 20 90 260 595 1176 2100 3480 5445 8140 11726 16380 22295 29680 38760
((loop(\(x,i).(((((x * x) div 2) + 1) * x) + 1),x,0) + 1) + x)
A038198: 1 3 5 11 181
compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),x)
A226038-A181062: 0 1 2 3 4 6 7 8 10 12 15 16 18 22 24 26
(loop(\(x,i).i,((x mod (2 - (x mod ((0 - 2) - 2)))) - 1),1) + x)
A143265: 1 2 3 4 5 6 7 8 9 12 11 12 13 15 15 16
(loop(\(x,i).i,(((x div (2 + 1)) - 1) * ((2 + 2) + 1)),1) + x)
A032984: 1 2 3 4 5 6 11 12 13 19 20 21 27 28 29 35
(loop(\(x,i).(i - x),((((x + 2) * x) div (2 + 2)) + 1),1) + x)
A231664: 0 1 3 6 7 9 12 16 18 21 25 30 33 37 42 48
(1 div (if ((((x * 2) + 1) div (2 + 1)) mod (2 + 1)) <= 0 then 1 else x))
A191747: 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0
(loop(\(x,i).(x * 2),((x - (x div (2 + 1))) div (2 + 1)),1) + x)
A285986: 1 2 3 4 6 7 8 9 12 13 14 15 16 21 22 23
(loop(\(x,i).((x * 2) * 2),(((x + 1) div 2) div (2 + 1)),1) + x)
A096304: 1 2 3 4 5 9 10 11 12 13 14 27 28 29 30 31
loop(\(x,i).((x * x) * x),1,((((2 + 2) * (2 + 1)) - 1) * x))
A017391: 0 1331 10648 35937 85184 166375 287496 456533 681472 970299 1331000 1771561 2299968 2924207 3652264 4492125
loop(\(x,i).((x * x) * x),2,((((2 + 2) * (2 + 1)) - 1) * x))
A017397: 0 2357947691 1207269217792 46411484401953 618121839509504 4605366583984375 23762680013799936 95151694449171437 316478381828866048 913517247483640899 2357947691000000000 4611686018427387903
((if x <= 0 then 1 else ((x + 2) div (((x * 2) div (2 + 1)) + 1))) + x)
A102126: 1 4 4 4 6 6 7 8 9 10 11 12 13 14 15 16
((if (2 - x) <= 0 then ((((x div 2) mod 2) + x) div (2 + 1)) else 1) + x)
A168134: 1 2 3 4 5 6 8 9 10 12 13 15 16 17 19 20
((1 - x) mod (loop(\(x,i).((i * 2) * 2),(x mod (2 + 1)),1) + x))
A021112: 0 0 9 2 5 9 2 5 9 2 5 9 2 5 9 2
compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),x)
A102781: 0 1 2 3 5 6 8 9 11 14 15 18 20 21 23 26
compr(\x.(1 div ((loop(\(x,i).((i + x) * 2),x,0) mod (x + 1)) - 1)),x)
A166460: 0 1 5 7 8 9 11 13 14 15 17 19 20 21 23 24
compr(\x.((loop(\(x,i).(((x + 2) + 1) * 2),x,1) mod (x + 1)) - 1),x)
A248614: 0 1 2 4 6 10 12 16 18 20 22 28 30 36 40 42
compr(\x.(2 - (x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1))),x)
A226039-A080765: 5 9 11 13 14 17 19 20 21 23 25 27 29 32 33 34
(loop(\(x,i).((((x - 1) * x) + 1) * (2 + 1)),(x - 1),1) + x)
A326971: 1 2 5 24 1267
(loop(\(x,i).(((i * x) - (x div 2)) * (2 + 1)),(x - 1),1) + x)
A281532: 1 2 5 18 118
((1 - (x * 2)) mod (loop(\(x,i).((i * i) - x),(x - 1),1) + x))
A107386: 0 1 1 2 2 7 9 16 20 29 35 46 54 67 77 92
(x - (loop(\(x,i).(x - ((x div (2 + 2)) + i)),(x - 1),1) + x))
A295513: ~1 ~1 0 2 4 7 10 13 16 20 24 28 32 36 40 44
((((loop(\(x,i).(((x * x) div 2) + i),x,0) + 1) div 2) + 1) - x)
A319624: 1 1 0 1 5 63
(((loop(\(x,i).(((i * 2) + x) * 2),(x + 1),1) * 2) - 1) + x)
A059142: 11 40 105 242 523 1092 2237 4534 9135 18344 36769 73626 147347 294796 589701
(1 div (if ((x mod (((x mod (2 + 1)) * 2) + 1)) mod 2) <= 0 then 1 else x))
A127972: 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1
(loop(\(x,i).i,((((x * 2) - 1) div ((2 + 2) + 1)) - 2),1) + x)
A195044: 1 2 3 4 5 6 7 8 9 10 11 13 14 16 17 18
(1 div (if ((x mod (((2 - (x mod 2)) * 2) + 1)) mod 2) <= 0 then 1 else x))
A174856: 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1
loop(\(x,i).((x * x) * x),1,((x div (((2 + 1) * 2) + 1)) + x))
A125084: 0 1 8 27 64 125 216 512 729 1000 1331 1728 2197 2744 4096 4913
(2 - loop(\(x,i).((1 - x) * (x + 2)),(((x + 1) * 2) + 1),x))
A001503: 12 90 4611686018427387903
((x mod (((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A343160: 0 1 2 3 4 5 6 7 8 9 10 12 14 16 18 15
((if (x - 2) <= 0 then 2 else (((((x - 1) div 2) * 2) * 2) + 1)) + x)
A244151: 2 3 4 8 9 14 15 20 21 26 27 32 33 38 39 44
(1 div (if (x mod (((((x - 1) div 2) div 2) mod 2) + 2)) <= 0 then 1 else x))
A323519: 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1
loop(\(x,i).i,((((x mod 2) + 1) * x) mod (((2 + 2) * 2) + 1)),x)
A092384: 0 2 2 6 4 1 6 5 8 9 1 4 3 8 5 3
((if (2 - x) <= 0 then ((((x div 2) * (x div 2)) div 2) + 2) else 1) * x)
A304909: 0 1 4 6 16 20 36 42 80 90 140 154 240 260 364 390
(1 div (if ((((x - 2) * x) mod ((x div 2) + 2)) mod 2) <= 0 then 1 else x))
A340375: 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1
compr(\x.(((x * x) - 2) mod (loop(\(x,i).((x * x) * 2),2,2) - 1)),x)
A177046: 16 111 143 238 270 365 397 492 524 619 651 746 778 873 905 1000
((x div (if ((x div 2) - ((x mod 2) + 1)) <= 0 then (2 + 2) else 1)) + x)
A109230: 0 1 2 3 8 6 12 14
loop(\(x,i).(x * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017450: 25 256 729 1444 2401 3600 5041 6724 8649 10816 13225 15876 18769 21904 25281 28900
loop(\(x,i).(x * x),2,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017452: 625 65536 531441 2085136 5764801 12960000 25411681 45212176 74805201 116985856 174900625 252047376 352275361 479785216 639128961 835210000
loop(\(x,i).(x * x),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017510: 100 441 1024 1849 2916 4225 5776 7569 9604 11881 14400 17161 20164 23409 26896 30625
loop(\(x,i).(x * x),2,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017512: 10000 194481 1048576 3418801 8503056 17850625 33362176 57289761 92236816 141158161 207360000 294499921 406586896 547981281 723394816 937890625
loop(\(x,i).i,(((x - ((2 + 2) * 2)) * 2) * ((2 + 2) + 1)),x)
A048334-A048320-A048306-A029955: 0 1 2 3 4 5 6 7 8 10 20 30 40 50 60 70
(if (x mod 2) <= 0 then (((x div 2) + (x * 2)) * ((2 + 2) + 1)) else x)
A317325: 0 1 25 3 50 5 75 7 100 9 125 11 150 13 175 15
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 2) + 1) * x))
A016853: 0 3125 100000 759375 3200000 9765625 24300000 52521875 102400000 184528125 312500000 503284375 777600000 1160290625 1680700000 2373046875
((if (((x div 2) - 2) - 2) <= 0 then 0 else ((x div (2 + 2)) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A135140-A052061: 0 1 2 3 4 5 6 7 8 9 13 14 16 17 18 19
(loop(\(x,i).i,(((((x div 2) div (2 + 1)) + x) div 2) - 2),1) + x)
A082463: 1 2 3 4 5 6 7 9 10
A190209: 1 2 3 4 5 6 7 9 10 12 13 15 17 18 20 21
compr(\x.(((x * x) - 2) mod (loop(\(x,i).((x + 2) * x),2,2) - 1)),x)
A167534: 9 70 88 149 167 228 246 307 325 386 404 465 483 544 562 623
loop(\(x,i).(x div ((x mod 2) - 2)),2,((((x + 2) + 2) + 1) * x))
A178242: 0 3 7 6 9 25 33 21 26 63 75 44 51 117 133 75
((loop(\(x,i).(((x * x) * 2) * (x - 1)),(x - 2),2) - 1) + x)
A330294: 1 2 3 10 899
(if x <= 0 then 1 else ((((x * 2) * 2) div (((x div 2) + 2) + 1)) + x))
A026516: 1 2 4 6 7 9 10 11 12 14 15 16 17 18 19 21
(if x <= 0 then 1 else ((((2 + 1) * x) div (((x div 2) + 2) + 1)) + x))
A188320-A049386: 1 2 3 5 6 8 9 10 11 12 13 15 16 17 18 19
(loop(\(x,i).(i * x),(2 - ((2 - x) div ((x div 2) + 2))),1) + x)
A220695: 1 3 4 9 10 11 12 13 14 33 34 35 36 37 38 39
(loop(\(x,i).(x * 2),(x - 1),(((2 - (x mod 2)) + 2) + 1)) * x)
A187274: 0 4 20 48 160 320 960 1792 5120 9216 25600 45056 122880 212992 573440 983040
((x mod ((2 + 2) * 2)) mod (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x))
A154725: 0 0 0 0 0 0 0 0 0 0 0 3 0 5 0 0
compr(\x.(1 - ((x div (if (x mod 2) <= 0 then (2 + 2) else 1)) mod (2 + 1))),x)
A194414: 1 4 5 6 7 8 10 11 13 16 17 18 19 20 22 23
((x + 2) div (if ((x div 2) mod ((2 + 2) + 1)) <= 0 then (2 + 1) else x))
A078090: 0 1 2 1 1 1 1 1 1 1 4 4 1 1 1 1
loop(\(x,i).(x - (((x div 2) - ((x mod 2) * 2)) + 1)),(2 + 1),x)
A194516: 2 ~1 1 3 0 2 ~1 1 3 0 2 4 1 3 0 2
(if (x mod (2 + 1)) <= 0 then (((x mod 2) * (2 + 1)) * (2 + 1)) else x)
A070700: 0 1 2 9 4 5 0 7 8 9 10 11 0 13 14 9
loop(\(x,i).(x * x),(2 + 1),((((x * 2) + 1) * (2 + 1)) + x))
A017024: 6561 100000000 6975757441 110075314176 852891037441 4347792138496 16815125390625 53459728531456 146830437604321 360040606269696 806460091894081 1677721600000000 3282116715437121 6095689385410816
loop(\(x,i).((x * x) * x),1,((((x * 2) + 1) * (2 + 1)) + x))
A017019: 27 1000 4913 13824 29791 54872 91125 140608 205379 287496 389017 512000 658503 830584 1030301 1259712
loop(\(x,i).((x * x) * x),2,((((x * 2) + 1) * (2 + 1)) + x))
A017025: 19683 1000000000 118587876497 2641807540224 26439622160671 165216101262848 756680642578125 2779905883635712 8662995818654939 23762680013799936 58871586708267913 134217728000000000
((((if ((x div (2 + 1)) - 2) <= 0 then 0 else x) + 1) mod (2 + 1)) + x)
A287929-A287928-A085516: 1 2 3 4 5 6 7 8 9 10 12 11 13 15 14 16
((((if ((x div (2 + 2)) - 2) <= 0 then 0 else x) + 1) mod (2 + 1)) + x)
A195099-A195098: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 14 16
((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div (2 + 1)) + x)
A014626: 0 1 2 3 5 10 21 42 78 135 220 341 507 728 1015 1380
((if ((x div (2 + 1)) - 2) <= 0 then 1 else ((x - 1) div (2 + 1))) + x)
A129562: 1 2 3 4 5 6 7 8 9 11 13 14 15 17 18 19
loop(\(x,i).(x * x),(2 + 1),((((x + 1) * 2) * (2 + 1)) + x))
A017060: 1679616 815730721 25600000000 282429536481 1785793904896 7984925229121 28179280429056 83733937890625 218340105584896 513798374428641 1113034787454976 2252292232139041 4304672100000000
loop(\(x,i).((x * x) * x),1,((((x + 1) * 2) * (2 + 1)) + x))
A017055: 216 2197 8000 19683 39304 68921 110592 166375 238328 328509 438976 571787 729000 912673 1124864 1367631
loop(\(x,i).((x * x) * x),2,((((x + 1) * 2) * (2 + 1)) + x))
A017061: 10077696 10604499373 512000000000 7625597484987 60716992766464 327381934393961 1352605460594688 4605366583984375 13537086546263552 35452087835576229 84590643846578176 186940255267540403
loop(\(x,i).(((x * 2) - (x mod ((2 + 2) * 2))) * 2),(2 + 1),x)
A127988: 0 8 32 40 128 136 160 168 512 520 544 552 640 648 672 680
((if ((x div (2 + 1)) - 2) <= 0 then 1 else ((2 + 2) * (2 + 1))) + x)
A069571: 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27
(if (x mod 2) <= 0 then ((((x div 2) + x) + (x * 2)) * (2 + 1)) else x)
A317321: 0 1 21 3 42 5 63 7 84 9 105 11 126 13 147 15
compr(\x.((loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2) mod (2 + 1)),x)
A260488: 0 1 2 4 7 8 13 14 16 19 25 26 28 31 32 37
((if ((x div 2) - 1) <= 0 then 1 else (((x * x) + 2) * (2 + 1))) + x)
A098811: 1 2 3 4 58
((if (x mod (2 + 1)) <= 0 then 2 else (x - ((2 - x) mod (2 + 1)))) + x)
A080030: 2 1 4 5 7 10 8 13 16 11 19 22 14 25 28 17
((loop(\(x,i).(((i + 2) * i) + x),(x + 2),x) div (2 + 1)) + x)
A010896: 3 10 19 32 49 72 100
((if ((x div 2) - 2) <= 0 then 1 else (((x mod 2) + x) div (2 + 1))) + x)
A225857: 1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 2 else (x div (2 + 1))) + x)
A074739: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 20
(((loop(\(x,i).((x - 1) * 2),(x - 1),x) * x) div (2 + 1)) + x)
A088110: 0 1 3 9
A118365: 0 1 3 9 28 88
(((if (x div 2) <= 0 then (2 + 2) else 2) + ((x * x) * (2 + 1))) + x)
A131649: 4 8 16 32 54 82 116 156 202 254 312 376 446 522 604 692
compr(\x.((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + x) mod (2 + 1)),x)
A084090: 0 2 3 6 8 9 10 12 14 15 18 21 22 24 26 27
(loop(\(x,i).(((x - 1) * x) div (i + 1)),2,((x + 2) + 1)) * x)
A266732: 0 10 60 210 560 1260 2520 4620 7920 12870 20020 30030 43680 61880 85680 116280
compr(\x.loop(\(x,i).(((0 - i) - x) div ((x + 2) + 2)),(x * 2),1),x)
A048683: 1 2 3 4 5 7 8 9 11 12 13 16 17 18 19 23
(loop(\(x,i).((((i * 2) + x) * 2) + i),x,((x * 2) + 1)) - x)
A027982: 1 10 38 108 270 632 1426 3148 6854 14784 31674 67508 143278 303016 638882 1343388
((if ((x - 2) mod (((2 + 2) * 2) + 1)) <= 0 then (x div 2) else 1) + x)
A115060: 1 2 3 4 5 6 7 8 9 10 11 16 13 14 15 16
(((((x * 2) * 2) + (x mod 2)) + 1) * (if (x mod 2) <= 0 then 1 else x))
A330983: 1 6 9 42 17 110 25 210 33 342 41 506 49 702 57 930
(loop(\(x,i).((((i div 2) * 2) - 1) * x),(x * 2),1) * (1 - x))
A013302: 1 0 3 90 4725 396900 49116375 8428369950 1917454163625 558800927685000 203054287097536875 4611686018427387903 4611686018427387903 4611686018427387903
((2 + 1) - loop(\(x,i).((((x * x) + 1) * x) * 2),x,(1 - x)))
A057738: 2 3 139
(loop(\(x,i).((i + x) - (((x div 2) div (2 + 1)) - 1)),x,1) - x)
A231408: 1 2 4 6 9
A105434: 1 2 4 6 9 12 16 20 24 28 32 36 41 46 51 56
((loop(\(x,i).((2 + 1) * x),x,1) div (((2 + 1) * x) + 1)) + x)
A134365: 1 1 3 5 10 20 44
((if (2 - x) <= 0 then ((((x * x) * x) div (2 + 1)) * x) else 1) + x)
A099081: 1 2 6 30 88
(loop(\(x,i).(((((x - 1) * x) + 1) * (i * x)) + 1),x,1) + x)
A290610: 1 3 15 6127
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - x)
A246604: 1 0 0 2 10 37 126 422 1422 4853 16786 58775 208000 742887 2674426 9694830
((1 - loop(\(x,i).(((x div ((i + 2) + 2)) + x) - 2),x,1)) - x)
A036604: 0 1 3 5 7 10 13 16 19 22 26 30 34 38 42
A327672-A001768: 0 1 3 5 7 10 13 16 19 22 26 30 34 38 42 46
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) - x)
A273526: 1 1 3 11 38 127 423 1423 4854 16787 58776 208001 742888 2674427 9694831 35357655
compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x)
A069353: 0 1 2 3 5 7 8 11 15 17 23 26 31 35 47 53
((if (x - 2) <= 0 then 1 else ((((x * x) * x) - 1) * (x + 1))) + x)
A097653: 1 2 3 107
((loop(\(x,i).((((x * x) - 1) * x) + 1),2,2) * (x + 1)) + x)
A157999: 337 675 1013 1351 1689 2027 2365 2703 3041 3379 3717 4055 4393 4731 5069 5407
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) * 2) * (x + 1)) + x))
A017264: 16777216 6975757441 208827064576 2251875390625 14048223625216 62259690411361 218340105584896 645753531245761 1677721600000000 3936588805702081 8507630225817856 17181861798319201 32784148919812096
loop(\(x,i).((x * x) * x),1,((((2 + 2) * 2) * (x + 1)) + x))
A017259: 512 4913 17576 42875 85184 148877 238328 357911 512000 704969 941192 1225043 1560896 1953125 2406104 2924207
loop(\(x,i).((x * x) * x),2,((((2 + 2) * 2) * (x + 1)) + x))
A017265: 134217728 118587876497 5429503678976 78815638671875 618121839509504 3299763591802133 13537086546263552 45848500718449031 134217728000000000 350356403707485209 833747762130149888 1838459212420154507
((loop(\(x,i).(((i + x) * x) + 2),2,(2 + 2)) * (x + 1)) - x)
A158368: 530 1059 1588 2117 2646 3175 3704 4233 4762 5291 5820 6349 6878 7407 7936 8465
((loop(\(x,i).((x div 2) - ((x * x) * x)),2,2) * (x + 1)) - x)
A158000: 339 677 1015 1353 1691 2029 2367 2705 3043 3381 3719 4057 4395 4733 5071 5409
loop(\(x,i).(i * x),x,(((((x + 2) * x) + 2) * (x + 1)) + x))
A001565: 2 11 64 426 3216 27240 256320 2656080 30078720 369774720 4906137600 69894316800 1064341555200 17255074636800 296754903244800 5396772116736000
loop(\(x,i).(x - ((((x * 2) * 2) * 2) + 1)),2,((x + 1) * x))
A001526: 6 104 300 594 986 1476 2064 2750 3534 4416 5396 6474 7650 8924 10296 11766
((((if x <= 0 then 2 else ((x mod 2) + x)) - 1) * 2) + ((x + 1) * x))
A229718: 2 4 8 18 26 40 52 70 86 108 128 154 178 208
loop(\(x,i).(x - ((((x * 2) * 2) + i) * 2)),2,((x + 1) * x))
A177060: 10 108 304 598 990 1480 2068 2754 3538 4420 5400 6478 7654 8928 10300 11770
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),(x + 1),x)
A064757: 10 241 3992 58563 805254 10629365 136410196 1714871047 21221529218 259374246009 3138428376720 37661140520651 448795257871102 5316497670165373 62658722541234764 735195677817154575
(loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x)
A191257: 1 3 5 7 8 9 11 13 15 17 19 21 23 24 25 27
loop(\(x,i).((((((2 + 1) * 2) + 1) * i) * i) + x),(x - 1),x)
A071229: 0 1 9 38 102 215 391 644 988 1437 2005 2706 3554 4563 5747 7120
(((0 - ((x + 1) * x)) div ((2 + 2) + 1)) mod (if x <= 0 then 1 else x))
A249345: 0 0 0 0 0 4 3 2 1 0 8 6 4 2 0 12
((x * 2) - ((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x)))
A092451-A007928: 0 2 4 6 8 10 12 14 16 18 20 21 22 23 24 25
(loop(\(x,i).((((2 + 1) * 2) div ((x div 2) + 1)) + x),x,1) + x)
A080752: 1 8 10 12 14 16 18 19 20 21 22 23 24 25 26 27
(loop(\(x,i).(((((2 + 1) * x) + 1) * (i + 1)) + x),x,1) - x)
A234280: 1 8 91 1210
(loop(\(x,i).((((x + 1) * x) + (2 + 1)) * (x * x)),x,1) - x)
A072725: 1 4 823
(loop(\(x,i).(((x div (((i * 2) * 2) + 1)) + i) + x),x,1) + x)
A025715: 1 3 6 10 15 21 28 36 45 56 68 81 95 110 126 143
((((x div (2 + 2)) * (2 + 1)) + loop(\(x,i).(i * x),x,1)) + x)
A092329: 1 2 4 9 31 128
(loop(\(x,i).(((((i * 2) + 1) * x) * (x div 2)) + i),x,1) + x)
A326972: 1 2 4 20 1232
(2 div (if ((x div 2) mod (((x * 2) mod (2 + 1)) + 1)) <= 0 then 2 else x))
A030317: 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1
((((loop(\(x,i).((i * x) * 2),(x - 1),1) div 2) + 1) div 2) * x)
A052587: 0 0 2 6 48 480 5760 80640 1290240 23224320 464486400 10218700800 245248819200 6376469299200 178541140377600 5356234211328000
(2 div (if ((x div 2) mod ((((x mod 2) + 1) * 2) + 1)) <= 0 then 2 else x))
A127693: 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0
loop(\(x,i).((x div 2) div ((x mod (((x mod 2) + 1) * 2)) + 1)),2,x)
A110962: 0 0 0 0 1 0 0 0 2 1 1 0 3 0 0 0
((x div ((x div loop(\(x,i).i,(x - ((2 + 2) * 2)),1)) + 2)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A050741: 0 1 2 3 4 5 6 7 8 9 11 13 14 16 17 18
loop(\(x,i).(x - ((((1 - x) * x) div 2) * ((2 + 2) + 1))),2,x)
A264891: 0 1 112 783 2839 7480 16281 31192 54538 89019 137710 204061 291897 405418 549199 728190
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 + 2) + 1) * 2),x)
A130427: 0 10000000000 20000000000 30000000000 40000000000
A130431: 0 10000000000 20000000000 30000000000 40000000000 50000000000 60000000000 70000000000 80000000000
(loop(\(x,i).(((i + x) - 1) * x),2,(((2 + 2) + 1) * 2)) + x)
A213184-A213182: 10100 10101 10102 10103 10104 10105 10106 10107 10108 10109 10110 10111 10112 10113 10114 10115
loop(\(x,i).(((2 + 2) * 2) + x),(x - (((2 + 2) + 1) * 2)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A319726-A264979: 0 1 2 3 4 5 6 7 8 9 10 19 28 37 46 55
compr(\x.((if (x mod 2) <= 0 then 1 else x) - (x mod (((2 + 2) + 1) * 2))),x)
A324022: 1 2 3 4 5 6 7 8 9 12 14 16 18 22 24 26
loop(\(x,i).(((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)),2,x)
A140236: 0 1 20 220 1540 7770 30856 102340 295240 762355 1798940 3939936 8104460 15803060 29426320 52636760
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else ((2 + 1) * 2)) + x)
A032994: 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21
(((0 - x) mod (if (x - (2 + 2)) <= 0 then 1 else ((2 + 1) * 2))) + x)
A265564: 0 1 2 3 4 6 6 12 12 12 12 12 12 18 18 18
((((loop(\(x,i).(x * x),(x - 2),2) + x) * (2 + 1)) div 2) + x)
A296378: 3 5 8 13 34
(x - loop(\(x,i).(x - (((x mod 2) * 2) - (x mod (2 + 1)))),2,x))
A131193: 0 1 ~3 3 ~1 0 0 1 ~3 3 ~1 0 0 1 ~3 3
(((if (2 - x) <= 0 then (x - 1) else 2) + ((x mod (2 + 1)) div 2)) + x)
A144430: 2 3 4 5 7 10 11 13 16 17 19 22 23 25 28 29
(x - loop(\(x,i).((((2 - x) + 2) * 2) div ((x + 2) + 1)),2,x))
A227179: 0 0 0 1 2 0 1 2 3 4 5 6 0 1 2 3
loop(\(x,i).((((((2 + 1) * i) * (2 + 1)) + 1) * x) + 1),2,x)
A139620: 20 210 400 590 780 970 1160 1350 1540 1730 1920 2110 2300 2490 2680 2870
((if x <= 0 then 1 else ((((x * x) * x) * ((x * x) + 1)) * 2)) - x)
A065993: 1 3 78
((if (x - 2) <= 0 then 1 else (((((x div 2) * 2) + 1) * 2) * 2)) + x)
A162890: 1 2 3 15 24 25
loop(\(x,i).(x * x),(2 + 1),(((((x * 2) + 1) * 2) * 2) + x))
A017216: 65536 815730721 54875873536 852891037441 6553600000000 33232930569601 128063081718016 406067677556641 1113034787454976 2724905250390625 6095689385410816 12667700813876161 24759631762948096
loop(\(x,i).((x + 1) * x),1,(((((x * 2) + 1) * 2) * 2) + x))
A177073: 20 182 506 992 1640 2450 3422 4556 5852 7310 8930 10712 12656 14762 17030 19460
loop(\(x,i).((x * x) * x),1,(((((x * 2) + 1) * 2) * 2) + x))
A017211: 64 2197 10648 29791 64000 117649 195112 300763 438976 614125 830584 1092727 1404928 1771561 2197000 2685619
loop(\(x,i).((x * x) * x),2,(((((x * 2) + 1) * 2) * 2) + x))
A017217: 262144 10604499373 1207269217792 26439622160671 262144000000000 1628413597910449 7427658739644928 27206534396294947 84590643846578176 231616946283203125 572994802228616704 1304773183829244583
loop(\(x,i).((x * x) * x),1,(((((x * 2) + 1) * 2) * 2) - x))
A017031: 64 1331 5832 15625 32768 59319 97336 148877 216000 300763 405224 531441 681472 857375 1061208 1295029
loop(\(x,i).((x * x) * x),2,(((((x * 2) + 1) * 2) * 2) - x))
A017037: 262144 2357947691 198359290368 3814697265625 35184372088832 208728361158759 922190162669056 3299763591802133 10077696000000000 27206534396294947 66540410775079424 150094635296999121
compr(\x.(((x * x) - 2) mod loop(\(x,i).(((x * x) * 2) - 1),2,2)),x)
A176010: 14 83 111 180 208 277 305 374 402 471 499 568 596 665 693 762
compr(\x.((loop(\(x,i).(x - (x div ((0 - 2) - 1))),x,1) div 2) mod 2),x)
A087792: 0 3 5 8 10 11 12 21 24 27 33 35 36 37 39 43
compr(\x.(((x + 1) * x) mod loop(\(x,i).(((x + 2) * x) + 1),2,2)),x)
A265424: 0 24 75 99 100 124 175 199 200 224 275 299 300 324 375 399
compr(\x.(((x - 1) * x) mod loop(\(x,i).(((x + 2) * x) + 1),2,2)),x)
A008852: 0 1 25 76 100 101 125 176 200 201 225 276 300 301 325 376
(((if (((x div 2) - 2) - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) + x)
A243463: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 19
((((if (x - ((2 + 2) * (2 + 1))) <= 0 then 0 else 2) * 2) * 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A178403-A134336-A131207-A130577: 0 1 2 3 4 5 6 7 8 9 10 11 12 21 22 23
loop(\(x,i).(((((((2 + 2) * 2) + x) + 1) * 2) * 2) * 2),2,x)
A157432: 648 712 776 840 904 968 1032 1096 1160 1224 1288 1352 1416 1480 1544 1608
loop(\(x,i).((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)),2,x)
A108037: 0 1 1 1 1 1 2 2 2 2 3 3 3 3 3 5
compr(\x.(((x * x) + 1) mod loop(\(x,i).((i * x) + 1),(2 + 2),2)),x)
A241520: 34 55 123 144 212 233 301 322 390 411 479 500 568 589 657 678
compr(\x.(((x * x) - 2) mod loop(\(x,i).((i * x) + 1),(2 + 2),2)),x)
A159008: 25 64 114 153 203 242 292 331 381 420 470 509 559 598 648 687
(loop(\(x,i).(x * x),1,(x div (((2 - x) div (2 + 2)) - 2))) + x)
A061887: 0 2 3 4 8 9 10 11 12 18 19 20 21 22 23 24
compr(\x.(1 - (x mod ((if (x mod 2) <= 0 then 2 else (x div (2 + 2))) + 2))),x)
A074235: 1 2 3 5 6 7 9 10 11 13 14 17 18 19 22 23
loop(\(x,i).((((2 - x) * (2 + 1)) - 1) div ((x + 2) + 2)),2,x)
A081290: 0 1 2 2 2 5 5 5 5 5 5 5 5 5 14 14
compr(\x.(((x * x) - 1) mod loop(\(x,i).((x + 1) * x),2,(2 + 2))),x)
A057539: 1 29 41 71 139 169 181 209 211 239 251 281 349 379 391 419
(((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else x) div (2 + 2)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247810-A247800: 0 1 2 3 4 5 6 7 8 9 10 13 15 16 17 18
((((if ((x div 2) - 2) <= 0 then 1 else (2 + 2)) + x) div (2 + 2)) + x)
A138083: 0 1 2 4 5 6
A328594: 0 1 2 4 5 6 8 9 11 12 13 14 16 17 18 19
(((((x * x) * x) + (if x <= 0 then 1 else 2)) + (x mod (2 + 2))) + x)
A076858: 1 5 14 35 70
loop(\(x,i).((((((i * i) * (x * 2)) - x) + 1) * x) div 2),2,x)
A152041: 0 4 33 129 355 795 1554 2758 4554 7110 10615 15279 21333 29029 38640 50460
((if (x - 1) <= 0 then 1 else (((x * x) + 2) * ((x + 2) + 2))) + x)
A173026: 1 2 38 80
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) div (((x + 2) * 2) + x))
A191639: 1 2 6 19 64 215 744 2621 9362 33825 123361 453438 1677721 6242685 23342213 87652393
(((if (x - 2) <= 0 then (2 + 1) else (x * 2)) + ((x * 2) * 2)) + x)
A317194: 3 8 13 21 28
loop(\(x,i).(((x div 2) + 2) + (x div (2 + 2))),((x div 2) - 2),x)
A265537: 0 1 2 3 4 5 6 6 8 8 8 8 8 8 8 8
((if x <= 0 then 1 else (x - (1 mod ((((1 - x) * x) div 2) + 2)))) + x)
A060577: 1 1 4 6 11 17 24 32 41 51 62 74 87 101 116 132
((((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1) + x) div 2) + x)
A248562: 1 2 3 5 6 8 9 11 12 14 15 17 18 20 22 23
((((if (x mod ((x mod (2 + 2)) + 1)) <= 0 then 2 else 1) + x) div 2) + x)
A298863: 1 2 3 5 7 8 10 11 13 14 15 17 19 20 21 23
((((if (x - ((2 + 2) * (2 + 1))) <= 0 then 2 else 1) + x) div 2) + x)
A292665-A286355-A138251-A110118: 1 2 4 5 7 8 10 11 13 14 16 17 19 20 21 23
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 2) * x)
A083726: 0 3 8 18 32 60 84 126 160 216 300 352 456 546 616 720
((((if (((x div 2) + 2) mod (2 + 2)) <= 0 then 1 else 2) + x) div 2) + x)
A284818: 1 2 4 5 6 8 10 11 13 14 16 17 18 20 22 23
((if (x - 2) <= 0 then 1 else ((((x mod (2 + 1)) div 2) + x) - 2)) + x)
A144429: 1 2 3 4 6 9 10 12 15 16 18 21 22 24 27 28
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * x)
A117495: 0 3 10 21 44 65 102 133 184 261 310 407 492 559 658 795
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div 2) + x)
A080370: 0 1 3 5 8 10 13 15 18 22 24 28 31 33 36 40
((compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 2) * x)
A306192: 0 5 14 33 52 85 114 161 232 279 370 451 516 611 742 885
((loop(\(x,i).(x - (x div ((2 + 2) * 2))),(x div 2),x) * 2) - x)
A279313: 0 1 2 3 4 5 6 7 6 5 4 3 2 1 0 1
(((loop(\(x,i).(((i * i) div (x + 1)) + x),x,2) + x) div 2) + x)
A031435: 1 2 4 7 9 12 15 18 21 25 28 32 35 39 42 46
((((loop(\(x,i).((x div 2) + (x * 2)),x,x) div 2) * x) + 2) * x)
A160872: 0 3 28 195 1240
compr(\x.(loop(\(x,i).((i + 2) * x),((x + 1) div 2),1) mod (x + 2)),x)
A175553: 1 4 7 8 10 12 13 14 16 18 19 20 22 23 24 25
(((((if (x - (2 + 2)) <= 0 then 1 else x) + x) * 2) div (x + 2)) + x)
A080612: 1 2 3 4 5 7 9 10 11 12 13 14 15 16 17 18
(loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) + ((x + 2) * x))
A025741: 1 4 9 16 25 36 49 64 81 100 121 145 171 199 229 261
((if (2 - x) <= 0 then ((2 + 2) * (x + 1)) else 1) + ((x + 2) * x))
A205670: 1 4 20 31
((if (x - 2) <= 0 then 1 else ((2 - x) * (2 + 1))) + ((x + 2) * x))
A181023: 1 4 9 12 18 26 36
loop(\(x,i).(((x + 1) * (2 + 1)) * (2 + 1)),2,((x + 2) * x))
A157888: 90 333 738 1305 2034 2925 3978 5193 6570 8109 9810 11673 13698 15885 18234 20745
loop(\(x,i).((((2 + 1) * 2) + 1) * (x + 1)),2,((x + 2) * x))
A158481: 56 203 448 791 1232 1771 2408 3143 3976 4907 5936 7063 8288 9611 11032 12551
loop(\(x,i).((1 - ((2 + 2) * 2)) * (x + 1)),2,((x + 2) * x))
A158484: 42 189 434 777 1218 1757 2394 3129 3962 4893 5922 7049 8274 9597 11018 12537
((loop(\(x,i).((i * x) * 2),((x + 1) div 2),x) div (x + 2)) + x)
A222010: 0 1 3 7
A100839: 0 1 3 7 9 39
loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),(x - 2),x)
A036298: 0 1 2 720 4611686018427387903
((loop(\(x,i).(1 - (i + x)),(x div (2 + 1)),1) + (x * 2)) + x)
A190765: 1 4 7 8 11 14 18 21 24 25 28 31 35 38 41 42
loop(\(x,i).((1 - ((x * 2) - (x div (i + 1)))) div 2),(x * 2),x)
A316355: 0 1 1 2 3 3 3 3 4 5 5 5 5 5 5 6
(if (x mod 2) <= 0 then ((((x * 2) * 2) * (2 + 1)) - (x div 2)) else x)
A317323: 0 1 23 3 46 5 69 7 92 9 115 11 138 13 161 15
((if x <= 0 then 1 else (((x * x) * (x - 1)) + 2)) + ((x mod 2) * x))
A117850: 1 3 6 23
A176424: 1 3 6 23 50
((loop(\(x,i).(((i + x) - 1) * x),2,((x * x) * x)) div 2) * x)
A168663: 0 1 4160 798255 33562624 610390625 6530486976 48444916975 274878955520 1270935305649 5000005000000 17261365815551 53496620605440 151437584670385 396857439333824 973097619609375
((x * 2) - loop(\(x,i).(x - (x div (((2 + 2) * 2) - i))),2,x))
A067570: 0 1 2 3 4 5 7
A039110: 0 1 2 3 4 5 7 9 10 11 12 13 14 16 18 19
(((x * x) div ((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x)) + x)
A135251: 0 1 3 4 6 8 10
A215476: 0 1 3 4 6 8 10 12 14 16 18 20 23
loop(\(x,i).i,(((x mod (((0 - 2) - 2) - 1)) * (2 + 1)) + x),x)
A319652: 0 1 2 3 1 5 6 7 2 6 10 11 3 7 11 15
compr(\x.(1 - loop(\(x,i).((x mod ((i * 2) + 1)) * x),(2 + 1),x)),x)
A222011: 1 2 4 8
A236206: 1 2 4 8 11 13 16 17 19 22 23 26 29 31 32 34
(loop(\(x,i).(x - ((((x + 1) div 2) div (2 + 1)) - 1)),2,x) + x)
A325572: 2 4 6 8 9 10 12 14 16 18 20 21 22 24 26 28
(loop(\(x,i).(x - (((x div (2 + 2)) div (0 - 2)) - 1)),2,x) + x)
A183422: 2 4 6 9 12 14 16 18 20 22 25 27 30 32 34 36
(loop(\(x,i).(x - (((x - (x div (2 + 2))) mod 2) - 1)),2,x) + x)
A247062: 1 2 5 6 8 11 12 16 17 18 21 22 24 27 28 32
((if (((x div 2) - 2) - 2) <= 0 then (((2 + 2) + 1) * 2) else x) + x)
A182363-A055982: 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30
(loop(\(x,i).(x - (((((x - 1) div 2) div 2) - 1) div 2)),2,x) + x)
A247423-A182339: 2 4 6 8 9 10 12 14 16 18 20 22 24 25 26 28
(loop(\(x,i).((((x * x) div ((2 + 2) * 2)) + 1) div 2),2,x) * x)
A308953: 0 0 0 0 0 0 0 7 8 18 20 44 60 104 126 180
(loop(\(x,i).(x - (((x - 2) * 2) div ((x + 2) + 2))),2,x) + x)
A064377: 2 3 4 6 8 10 12 14 15 16 18 20 22 24 26 28
((loop(\(x,i).((x * x) * (x * 2)),2,((x * 2) * 2)) * x) * x)
A016811: 0 4194304 8589934592 743008370688 17592186044416 204800000000000 1521681143169024 8293509467471872 36028797018963968 131621703842267136 419430400000000000 1196683881290399744 3116402981210161152 4611686018427387903 4611686018427387903
(((loop(\(x,i).((((x + 1) * x) div 2) + 1),2,x) - 2) - x) * x)
A106845: 0 1 14 72 244 650 1476 2989 5552 9639 15850 24926 37764 55432 79184 110475
loop(\(x,i).(((((x * x) + 1) * x) * x) * (x - 1)),1,(x * x))
A064583: 0 0 816 53136 986880 9390000 58831920 276825696 1057222656 3444262560 9900990000 25724822640 61490347776 137047559376 287786357040 574098840000
(((loop(\(x,i).(((i mod 2) + x) * i),x,1) * 2) - 1) - (x * x))
A125763: 1 2 3 20 103
((((if (x - 2) <= 0 then 1 else ((x - 2) * 2)) * 2) - 1) + (x * x))
A116711: 1 2 5 12 23 36 51 68 87 108 131 156 183 212 243 276
((loop(\(x,i).((x * x) + 1),2,(x + 1)) div (2 + 1)) + (x * x))
A165394: 1 9 37 105 241 481 869 1457 2305 3481 5061 7129 9777 13105 17221 22241
(loop(\(x,i).(x * x),1,((((x - 1) * x) div 2) + 1)) + (x * x))
A066455: 1 2 8 25 65 146 292 533 905 1450 2216 3257 4633 6410 8660 11461
((loop(\(x,i).((i + x) + 2),((x div 2) + 1),x) - 1) + (x * x))
A198392: 2 4 12 18 31 41 59 73 96 114 142 164 197 223 261 291
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - (x * x))
A024129: 1 10 117 1322 14625 161026 1771525 19487122 214358817 2357947610 25937424501 285311670490 3138428376577 34522712143762 379749833583045 4177248169415426
(((if x <= 0 then 2 else (((2 + 2) + 1) mod (x + 1))) div 2) + (x * x))
A072174: 1 1 5 9 16 27 38 51
((((2 + 2) * (x + 1)) + x) * loop(\(x,i).(x * x),2,(x * x)))
A229151: 0 9 3584 124659 1572864 11328125 57106944 224827239 738197504 2109289329 5400000000 12647173979 27518828544 56285419749 109208390144 202468359375
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x * x))
A110609: 0 1 8 45 224 1050 4752 21021 91520 393822 1679600 7113106 29953728 125550100 524190240 2181340125
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - ((x * x) * (x * x)))
A024105: 1 8 65 648 6305 58424 530145 4780568 43042625 387413928 3486774401 31381044968 282429515745 2541865799768 22876792416545 205891132044024
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - ((x * x) * (x * x)))
A024066: 1 5 20 135 1040 7151 45360 277535 1675520 10071135 60456176 362782415 2176761600 13060665455 78364125680 470184933951
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - ((x * x) * (x * x)))
A024092: 1 7 48 431 3840 32143 260848 2094751 16773120 134211167 1073731824 8589919951 68719456000 549755785327 4398046472688 35184372038207
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - ((x * x) * (x * x)))
A024053: 1 4 9 44 369 2500 14329 75724 386529 1946564 9755625 48813484 244119889 1220674564 6103477209 30517527500
(loop(\(x,i).((x + 2) * (x + 2)),2,2) + ((x * x) * (x * x)))
A272298: 324 325 340 405 580 949 1620 2725 4420 6885 10324 14965 21060 28885 38740 50949
(loop(\(x,i).(((2 + 2) + 1) * x),x,x) * ((x * x) * (x * x)))
A198402: 0 5 800 30375 640000 9765625 121500000 1313046875 12800000000 115330078125 976562500000 7863818359375 60750000000000 453238525390625 3282617187500000 23174285888671875
(loop(\(x,i).(x * 2),x,1) - (((x * x) * (x * x)) * (x * x)))
A024016: 1 1 ~60 ~721 ~4080 ~15593 ~46592 ~117521 ~261888 ~530929 ~998976 ~1769513 ~2981888 ~4818617 ~7513152 ~11357857
(loop(\(x,i).(i * x),x,1) - (((x * x) * (x * x)) * (x * x)))
A196413: 1 0 ~62 ~723 ~4072 ~15505 ~45936 ~112609 ~221824 ~168561 2628800 38145239 476015616 6222193991 87170761664 1307662977375
(loop(\(x,i).(x * x),2,(((x * x) * x) * (x * x))) * (x * x))
A010810: 0 1 4194304 31381059609 17592186044416 2384185791015625 131621703842267136 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,1) - (((x * x) * x) * (x * x)))
A024041: 1 3 ~16 ~179 ~768 ~2101 ~3680 ~423 32768 203095 948576 4033253 16528384 66737571 267897632 1072982449
(loop(\(x,i).((2 + 1) * x),x,1) - (((x * x) * x) * (x * x)))
A024028: 1 2 ~23 ~216 ~943 ~2882 ~7047 ~14620 ~26207 ~39366 ~40951 16096 282609 1223030 4245145 13589532
loop(\(x,i).((((x * 2) div (i + 1)) div ((i * 2) + 1)) + x),x,x)
A138083: 0 1 2 4 5 6
A069470: 0 1 2 4 5 6 9 10 11 13 15 16 19 20 21 24
compr(\x.(1 - loop(\(x,i).(x div ((2 - (x mod (2 + 2))) + 2)),x,x)),x)
A187811: 3 6 7 9 11 12 14 15 18 19 21 22 23 24 27 28
compr(\x.loop(\(x,i).(x div (2 - (((x div (2 + 2)) * x) mod 2))),x,x),x)
A048716: 0 1 2 3 4 6 8 9 12 16 17 18 19 24 25 32
compr(\x.(1 - loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x)),x)
A004780: 3 6 7 11 12 13 14 15 19 22 23 24 25 26 27 28
loop(\(x,i).(((((2 + 1) * i) * (x + 1)) div (i + 2)) + x),x,x)
A322938: 0 3 14 55 209 791 3002 11439 43757 167959 646645 2496143 9657699 37442159 145422674 565722719
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - ((x * x) * x))
A024143: 1 11 136 1701 20672 248707 2985768 35831465 429981184 5159779623 61917363224 743008369357 8916100446528 106993205376875 1283918464546120 15407021574582993
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - ((x * x) * x))
A024117: 1 9 92 973 9936 99875 999784 9999657 99999488 999999271 9999999000 99999998669 999999998272 9999999997803 99999999997256 999999999996625
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - ((x * x) * x))
A024078: 1 6 41 316 2337 16682 117433 823200 5764289 40352878 282474249 1977325412 13841285473 96889008210 678223070105 4747561506568
(loop(\(x,i).(((((x div 2) - 1) div (2 + 1)) mod 2) + x),x,x) - x)
A213014: 0 1 0 0 0 0 0 0 6 5 4 3 2 1 0 0
((x mod ((2 - (2 div ((x mod ((2 + 2) + 1)) + 1))) + 1)) + 1)
A127246: 1 2 3 1 2 1 1 2 3 1 1 2 1 2 3 1
((x div ((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) + 1)) + 1)
A346088-A223491: 1 2 3 4 5 3 7 4 9 5 11 4 13 7 5 16
((x mod ((x mod (x - (((x div 2) div (2 + 1)) - 1))) + 1)) + 1)
A255827: 1 2 3 4 5 6 1 1 1 1 1 1 1 2 1 2
(((x div 2) mod (((2 + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A140193: 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 3
((((x * 2) * 2) div ((2 mod ((x mod (2 + 1)) + 1)) + 1)) + 1)
A093544: 1 5 3 13 17 7 25 29 11 37 41 15 49 53 19 61
((x mod ((x mod (((0 - x) mod ((x div 2) + 1)) + 1)) + 1)) + 1)
A322813-A102096-A087039: 1 1 1 2 1 2 1 2 3 2 1 2 1 2 3 2
((x div ((((x + 2) * 2) div (((2 + 1) * 2) + 1)) + 1)) + 1)
A335925: 1 2 2 2 3 2 3 3 3 3 3 3 3 3 3 4
(x - ((x div (((x * 2) div (((0 - 2) - 2) - 1)) - 1)) - 1))
A324540: 1 3 4 5 7 8 9 10 11 12 13 14 15 16 17 19
((x mod ((x div ((((x + 1) mod (2 + 2)) + 2) + 1)) + 1)) + 1)
A338669-A257977-A070966-A034880: 1 1 1 2 1 2 1 2 3 2 1 4 1 2 3 4
(x div ((x div (((x - 1) mod (((2 + 2) * 2) + 1)) + 1)) + 1))
A335979: 0 0 1 1 2 2 3 3 4 4 0 1 2 3 4 5
((2 mod (((x * x) mod (((x div (2 + 2)) + 2) + 1)) + 1)) + 1)
A046556: 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 3
((x mod (((x + 2) mod (((x div (2 + 2)) * 2) - 1)) + 1)) + 1)
A208879: 1 1 1 1 1 1 1 1 1 1 1 2 3 1 1 1
(((x - 2) mod ((x mod (((x mod (2 + 2)) * 2) - 1)) + 1)) + 1)
A137844: 1 1 1 2 1 1 1 3 1 1 1 2 1 1 1 1
(((x + 1) mod ((x mod ((((x div 2) + 2) + 2) + 1)) + 1)) + 1)
A215561: 1 1 1 1 1 1 1 1 1 1 1 1 2 3 1 1
(((x * 2) mod ((x div ((((x mod 2) + 2) * 2) + 1)) + 1)) + 1)
A249773: 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 1
((((x + 1) * x) mod (((x - 1) mod ((2 + 2) + 1)) + 1)) + 1)
A176187: 1 1 1 1 1 1 1 1 1 3 1 1 1 3 3 1
(x mod ((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1))
A345228: 0 0 0 0 0 1 0 0 0 1 0 0 0 1 2 0
(((x div ((0 - 2) - 2)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A193516: 1 1 1 1 1 1 1 1 1 2 1 1 1 3 3 1
(((x div ((x mod 2) + 2)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A279522: 1 1 1 1 1 2 2 1 1 2 3 1 1 2 2 2
((2 + 1) mod (((x div 2) mod ((x div ((2 + 2) + 1)) + 1)) + 1))
A101856: 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 3
((x div (2 + 1)) mod ((2 div ((x mod ((2 + 2) + 1)) + 1)) + 1))
A086010: 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 2
(((x * 2) mod ((((1 - x) * x) mod ((2 + 2) + 1)) - 1)) - 1)
A144382: ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 0 ~1 ~1 ~1 ~1 1 ~1 ~1
(((1 - x) mod (((0 - x) mod ((x div (2 + 2)) + 1)) + 1)) + 1)
A325355: 1 1 1 1 1 1 1 1 2 1 1 1 1 1 3 1
((x div 2) mod ((x mod ((x mod ((x div (2 + 2)) + 1)) + 1)) + 1))
A216599: 0 0 0 0 0 0 0 1 1 0 0 2 0 0 1 3
(((x div (2 + 2)) div ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1)
A112971-A112970: 1 1 1 1 2 1 2 1 3 2 2 1 4 2 2 1
(((x - 1) mod (((x div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 1)
A135062: 1 1 2 1 1 2 1 3 2 1 1 1
(((x div 2) mod (((x div ((2 + 2) + 1)) mod (2 + 1)) + 1)) + 1)
A003638: 1 1 1 1 1 1 2 2 1 1 3 3 1 1 2 1
((x mod (((((x - 1) div 2) mod (2 + 1)) * (2 + 1)) - 1)) + 1)
A255274-A049847: 1 1 1 2 1 1 2 1 1 2 1 2 3 1 1 2
(((x - (2 + 1)) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1)
A023134: 1 1 1 1 2 1 2 1 2 1 2 3 1 2 3 1
((x div (((((x mod 2) + 1) mod (x + 1)) * (2 + 1)) - 1)) + 1)
A289440: 1 0 2 1 3 2 4 2 5 2 6 3 7 3 8 4
((2 + 2) mod (((x + 1) mod (((x + 1) div (2 + 1)) + 1)) + 1))
A035638: 0 0 0 0 0 0 0 1 0 1 0 1 0 4 0 4
((x div 2) mod (((x * x) mod (((x + 1) div (2 + 1)) + 1)) + 1))
A056966: 0 0 0 1 0 0 0 1 0 0 0 1 1 1 2 3
(x - ((2 div ((2 + 2) - (((x - 1) div (2 + 1)) - 1))) - 1))
A337769: 1 2 3 4 5 6 7 8 9 10 10 11 12 12 13 14
((((x div 2) div (2 + 1)) div (((x - 1) mod (2 + 1)) + 1)) + 1)
A145574: 1 1 1 1 1 1 1 2 1 1 2 1 1 3 2 1
((x div (((((x * 2) div (2 + 1)) * 2) div (2 + 1)) + 1)) + 1)
A105528: 1 2 3 2 3 2 3 3 3 2 3 3 3 3 3 3
((x div 2) mod ((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) + 1))
A109527: 0 0 0 0 0 0 0 1 0 0 0 2 0 0 1 0
((((x div 2) - 1) mod ((((x + 1) div 2) mod (2 + 1)) + 1)) + 1)
A020906: 1 2 1 1 2 1 1 1 2 1 2 1 1 2 1 1
(((x * x) div (((((2 + 2) * 2) * 2) * (2 + 1)) + 1)) + 1)
A253144: 1 1 1 1 1 1 1 2 2 2 3 3 3 4 5 5
((x mod (((x mod (1 - ((2 + 2) * 2))) mod (2 + 1)) + 1)) + 1)
A088737: 1 1 1 1 1 2 1 1 1 2 2 1 1 2 1 1
(1 mod ((((x * x) - 1) mod (((2 + 2) * (2 + 1)) + 1)) - 1))
A187948: 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1
(((x + 2) - ((1 - x) div (((2 + 2) * (2 + 1)) + 1))) + 1)
A165240: 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 20
(((x div (2 + 1)) mod (((x mod (2 + 2)) mod (2 + 1)) + 1)) + 1)
A139434: 1 1 1 1 1 2 3 1 1 2 1 1 1 1 2 1
(((((x * x) - 1) div 2) mod (((x div 2) div (2 + 1)) + 1)) + 1)
A338649: 1 1 1 1 1 1 2 1 2 1 2 1 3 1 2 2
(((((x + 1) div 2) * x) mod (((x div 2) div (2 + 1)) + 1)) + 1)
A340812-A340811: 1 1 1 1 1 1 1 1 1 2 1 1 1 2 3 1
(((x div 2) mod ((((x div (2 + 1)) * x) mod (2 + 1)) + 1)) + 1)
A031245: 1 1 1 1 1 3 1 1 1 1 1 1 1 1 2 1
(((x div (2 + 2)) - (x div (((1 - x) div (2 + 1)) - 1))) + 1)
A138161: 1 2 2 3 4 4 4 5 5
A076642: 1 2 2 3 4 4 4 5 5 6 6 6 7 7 7 7
((x + 2) - (x div ((x div (((1 - x) div (2 + 1)) - 1)) - 1)))
A030124: 2 4 5 6 8 9 10 11 13 14 15 16 17 19 20 21
((((x + 1) * x) div ((((x + 1) * x) mod (2 + 1)) + 1)) + 1)
A130770: 1 1 7 13 7 31 43 19 73 91 37 133 157 61 211 241
(((x div (2 + 1)) - (x div (((2 - x) div (2 + 1)) - 1))) + 1)
A047741: 1 2 3 4 4 5 5 6 6 7 7 7 8 8 8 9
((x mod ((((((x div 2) * x) mod 2) * x) div (2 + 1)) + 1)) + 1)
A165983: 1 1 1 2 1 1 1 2 1 1 1 4 1 1 1 4
((((2 + 1) * x) mod (((x div 2) - (x div (2 + 1))) + 1)) + 1)
A057557: 1 1 1 1 1 2 1 2 1 2 1 1 1 1 3 1
(((((x div 2) * x) - (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1)
A179541: 1 1 1 1 2 2 1 1 3 2 4
(((x * 2) - ((x mod (2 + 1)) mod ((x div (2 + 1)) + 1))) + 1)
A090542: 1 3 5 7 8 11 13 14 15
(x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1))
A057918: 0 0 0 1 0 0 0 1 2 0 0 1 0 0 0 3
(((0 - x) * 2) mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 1))
A212868: 0 0 0 0 0 0 0 1 0 0 0 2 1 0 0 0
(((x - 1) * (2 + 1)) mod ((x mod ((x div (2 + 1)) + 1)) + 1))
A158118: 0 0 0 0 0 0 0 0 0 0 0 2 0 0 4 2
(((x * 2) mod ((((x - 1) * 2) mod ((x div 2) + 1)) + 1)) + 1)
A296072: 1 1 1 1 1 2 1 1 2 1 1 2 1 3 2 1
(((1 - x) mod ((((2 - x) * 2) mod ((x div 2) + 1)) + 1)) + 1)
A306209-A238888-A225631-A205573-A179748-A144406-A130461-A119338-A096670-A054124: 1 1 1 1 1 1 1 1 2 1 1 1 2 3 1 1
((x mod (((((x * x) - 1) * x) mod ((x div 2) + 1)) + 1)) + 1)
A070010: 1 1 1 1 1 1 1 1 4 1 1 1 1 1 3 1
((x - (((2 - x) * x) div (((2 + 2) * (x + 1)) + 1))) + 1)
A184514-A138309: 1 2 3 5 6 7 8 10 11 12 13 15 16 17 18 19
((((x * 2) - 1) div (2 - ((x div 2) div ((0 - 2) - 1)))) + 1)
A112778: 0 1 2 2 3 4 4 5 4 5 5 6 6 7 6 6
(((x * 2) - (((x div (2 + 2)) + x) div ((0 - 2) - 1))) + 1)
A231407: 1 4 6
A086377: 1 4 6 8 11 13 16 18 21 23 25 28 30 33 35 37
(x - ((((x - 1) div (2 + 1)) * (x div ((0 - 2) - 1))) - 1))
A050271: 1 2 3 4 7 8 9 14 15 16 23 24 25 34 35 36
(x - ((((x + 2) div (2 + 1)) * (x div ((0 - 2) - 1))) - 1))
A095028: 1 3 4 5 9
A228941: 1 3 4 5 9 10 11 17 18 19 27 28 29 39 40 41
(((((2 + 2) * 2) * 2) + x) - ((x div ((0 - 2) - 1)) - 1))
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((((x + 1) mod (2 + 2)) div (2 - (x mod ((0 - 2) - 1)))) + 1)
A309059: 1 1 2 1 1 1 2 1 1 2 1 1 1 1 2 1
(((((x div (2 + 1)) + x) * 2) - (x mod ((0 - 2) - 1))) + 1)
A047438: 1 5 6 9 13 14 17 21 22 25 29 30 33 37 38 41
((x div ((((x mod (((2 + 2) * 2) + 1)) + 1) * 2) + 1)) + 1)
A117462: 1 1 1 1 1 1 1 1 1 4 3 2 2 2 2 2
(((x div 2) div (((((x - 1) mod (2 + 1)) + 1) * 2) + 1)) + 1)
A261036: 1 1 1 1 1 1 1 2 1 1 2 2 1 3 2 2
(((x - 1) mod ((x mod ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)
A320010: 1 1 1 1 1 2 1 1 2 1 1 3 1 1 2 1
((((x + 1) * 2) mod (((x mod ((2 + 2) + 1)) div 2) + 1)) + 1)
A158464: 1 1 1 1 2 1 1 1 1 3 1 1 1 1 1 1
((((x div 2) + 1) div ((((x div (2 + 2)) + 1) div 2) + 1)) - 1)
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((x mod (((x mod (x - ((x mod (2 + 2)) + 1))) div 2) + 1)) + 1)
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((x + 1) div ((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1))
A079643: 1 2 3 2 2 3 3 4 3 3 3 4 4 4 5 4
(((x + 1) mod ((x div (((x mod 2) * (2 + 1)) + 2)) + 1)) + 1)
A090331: 1 1 2 1 3 1 4 1 5 1 6 1 7 3 8 1
(((x * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) + 1)
A320997: 1 3 5 6 8 10 12 13 15 17 18
A329829-A182760-A000210: 1 3 5 6 8 10 12 13 15 17 18 20 22 24 25 27
(((((x + 1) * 2) * (x + 1)) * (((2 + 1) * 2) + 1)) + 1)
A158482: 15 57 127 225 351 505 687 897 1135 1401 1695 2017 2367 2745 3151 3585
(((((x + 1) * 2) * (x + 1)) * (((2 + 1) * 2) + 1)) - 1)
A158485: 13 55 125 223 349 503 685 895 1133 1399 1693 2015 2365 2743 3149 3583
(1 mod ((((x * x) * (x - 1)) mod (((2 + 1) * 2) + 1)) - 1))
A011657: 0 0 1 1 1 0 1 0 0 1 1 1 0 1 0 0
(((x * 2) - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) + 1)
A325913-A003152: 1 3 5 6 8 10 11 13 15 17 18 20 22 23 25 27
((((((x mod 2) + 2) + 2) * 2) * (((2 + 1) * 2) + 1)) + 1)
A176636: 57 71 57 71 57 71 57 71 57 71 57 71 57 71 57 71
(((((x * x) * (2 + 2)) * 2) * (((2 + 1) * 2) + 1)) + 1)
A158660: 1 57 225 505 897 1401 2017 2745 3585 4537 5601 6777 8065 9465 10977 12601
(((x * 2) - (((x + 2) * 2) div (((2 + 1) * 2) + 1))) + 1)
A285681-A081031: 1 3 4 6 8 9 11 13 15 16 18 20 21 23 25 27
((((((x + 2) + 1) * x) div 2) * (((2 + 1) * 2) + 1)) + 1)
A166146: 1 15 36 64 99 141 190 246 309 379 456 540 631 729 834 946
(((((x + 2) + 1) * (x - 2)) * (((2 + 1) * 2) + 1)) - 1)
A298078: ~43 ~29 ~1 41 97 167 251 349 461 587 727 881 1049 1231 1427 1637
(((x * 2) - ((1 - (x * 2)) div (((2 + 1) * 2) + 1))) + 1)
A231407: 1 4 6
A189383: 1 4 6 8 10 13 15 17 20 22 24 26 29 31 33 36
(((2 + 1) * x) - (((x * 2) div (((2 + 1) * 2) + 1)) - 1))
A103762: 1 4 7 10 12 15 18 20 23 26 29 31 34 37 39 42
(x - ((((1 - x) * (x * 2)) div (((2 + 1) * 2) + 1)) - 1))
A231408: 1 2 4 6 9
A025698: 1 2 4 6 9 12 16 20 25 31 37 44 51 59 67 76
(((2 + 1) * x) - (((1 - x) div (((2 + 1) * 2) + 1)) - 1))
A327136: 1 4 8 11 14 17 20 23 26 30 33 36 39 42 45 48
((((((x - 1) div 2) div 2) + x) mod (((2 + 1) * 2) + 1)) + 1)
A116369: 7 2 3 4 5 7 1 2 3 5 6 7 1 3 4 5
((((2 + 2) * (x + 1)) - (x div (((2 + 1) * 2) + 1))) - 1)
A329977: 3 7 11 15 19 23 27 30 34 38 42 46 50 54 57 61
(((0 - (x mod (2 + 1))) mod ((x mod ((2 + 1) * 2)) + 1)) + 1)
A158068: 1 2 2 1 5 5 1 2 2 1 5 5 1 2 2 1
((x div (((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) + 1)) + 1)
A214682: 1 1 3 4 5 3 7 4 9 5 11 12 13 7 15 16
(((x + 1) mod (((2 - x) mod ((x div (2 + 1)) + 2)) + 1)) + 1)
A175025: 1 1 1 2 2 1 1 1 1 3 3 1 2 1 1 1
(((((x + 1) * 2) * (2 + 1)) * (((x + 1) * 2) + 1)) + 1)
A127854: 19 61 127 217 331 469 631 817 1027 1261 1519 1801 2107 2437 2791 3169
(2 div (((((x * x) + 2) * 2) mod (((x + 1) * 2) + 1)) + 1))
A073346: 1 1 0 0 0 0 1 2 0 0 0 0 0 0 0 0
((((((x + 2) + 1) * x) div 2) * (((x + 1) * 2) + 1)) + 1)
A081438: 1 11 36 82 155 261 406 596 837 1135 1496 1926 2431 3017 3690 4456
(((x * 2) - (((x div 2) + x) div (((0 - 2) - 2) - 1))) + 1)
A231407: 1 4 6
A189462: 1 4 6 8 11 13 15 17 20 22 24 27 29 31 34 36
(((x * 2) div ((((x mod ((2 + 2) + 1)) + 2) + 2) + 1)) + 1)
A187469: 1 1 1 1 1 3 3 3 3 3 5 4 4 4 4 7
((x div ((((((x div 2) - 1) mod (2 + 1)) + 2) + 2) + 1)) + 1)
A173021: 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 4
(x mod ((x mod ((x div ((x mod ((2 + 1) * 2)) + 2)) + 1)) + 1))
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((x div ((((x * 2) mod ((x div (2 + 1)) + 2)) mod 2) + 1)) + 1)
A111615: 1 2 3 4 5 3 7 8 9 5 11 12 13 14 15 16
(((x mod ((2 + 2) + 1)) mod ((((x + 1) div 2) div 2) + 1)) + 1)
A241915: 1 1 1 2 1 1 2 3 1 2 1 2 3 4 1 1
(x - ((2 div ((2 + 2) - ((((x + 1) div 2) div 2) - 1))) - 1))
A254948: 1 2 3 4 5 6 7 8 9 10 11 11 12 13 14 14
((2 div ((x + 2) div (((((x - 1) div 2) div 2) * 2) + 1))) - 1)
A076882: ~2 ~1 ~1 ~1 ~1 0 0 ~1 ~1 0 0 0 0 0 0 0
(((x div 2) div ((((x + 1) mod ((2 + 2) * 2)) + 2) + 1)) + 1)
A331180: 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 3
(((2 + 2) * 2) mod ((x mod ((((2 + 2) * 2) * 2) - 1)) + 1))
A342176: 0 0 2 0 3 2 1 0 8 8 8 8 8 8 8 0
((x mod ((((x + 1) mod (((x div 2) mod 2) + 2)) * 2) + 1)) + 1)
A307116: 1 1 1 1 2 1 1 3 3 1 1 1 1 1 1 1
((x div ((((x div ((2 - (x mod 2)) * 2)) mod 2) + 2) + 1)) + 1)
A025425: 1 1 1 1 2 2 2 2 3 4 4 3 4 5 4 4
((x mod (((((x - 1) div (2 + 1)) mod (2 + 2)) * 2) - 1)) + 1)
A114280: 1 1 1 1 1 1 1 2 3 1 1 2 3 1 1 1
(((((x * x) * 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) + 1)
A158646: 1 55 217 487 865 1351 1945 2647 3457 4375 5401 6535 7777 9127 10585 12151
(((x * 2) - (((x * 2) + 1) div (((2 + 2) * 2) + 1))) + 1)
A329999-A329825-A059565: 1 3 5 7 8 10 12 14 16 17 19 21 23 24 26 28
(((((x + 1) * 2) * (x + 1)) * (((2 + 2) * 2) + 1)) + 1)
A157889: 19 73 163 289 451 649 883 1153 1459 1801 2179 2593 3043 3529 4051 4609
(((((x + 1) * 2) * (x + 1)) * (((2 + 2) * 2) + 1)) - 1)
A157910: 17 71 161 287 449 647 881 1151 1457 1799 2177 2591 3041 3527 4049 4607
(((((2 + 2) * 2) * (x + 1)) * (((2 + 2) * 2) + 1)) - 1)
A157921: 71 143 215 287 359 431 503 575 647 719 791 863 935 1007 1079 1151
(((((x + 2) * 2) * (x + 1)) div (((2 + 2) * 2) + 1)) + 1)
A193622: 1 2 3 5 7 10
A022335: 1 2 3 5 7 10 13 17 21 25 30 35 41 47 54 61
(((((x * 2) * 2) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A191760: 1 9 7 4 9 4 7 9 1 1 9 7 4 9 4 7
(((x - ((x * 2) * (x + 1))) mod (((2 + 2) * 2) + 1)) + 1)
A194641: 1 7 9 7 1 9 4 4 9 1 7 9 7 1 9 4
(((x mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1)) + 1)
A067456-A065881-A052429: 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6
((((((x * x) - 1) div 2) div 2) div (((2 + 2) * 2) + 1)) + 1)
A171962: 0 1 1 1 1 1 1 2 2 3 3 4 4 5 6 7
(((((x * x) * (2 + 2)) * 2) * (((2 + 2) * 2) + 1)) + 1)
A158740: 1 73 289 649 1153 1801 2593 3529 4609 5833 7201 8713 10369 12169 14113 16201
(((((x - (2 + 1)) * x) * 2) mod (((2 + 2) * 2) + 1)) + 1)
A194597: 1 6 6 1 9 3 1 3 9 1 6 6 1 9 3 1
((((((x + 2) + 1) * x) div 2) * (((2 + 2) * 2) + 1)) + 1)
A166148: 1 19 46 82 127 181 244 316 397 487 586 694 811 937 1072 1216
((((((x * x) + 1) * x) div 2) * (((2 + 2) * 2) + 1)) + 1)
A081583: 1 10 46 136 307 586 1000 1576 2341 3322 4546 6040 7831 9946 12412 15256
(x - (((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1)) - 1))
A117625: 1 2 12 31 59 96 142 197 261 334 416 507 607 716 834 961
((((((x div 2) + x) * x) div 2) div (((2 + 2) * 2) + 1)) + 1)
A094909: 1 1 1 1 2 2 4 4 6 7 9 10 13 14 17 19
((((((x + 2) * x) + 2) * x) mod (((2 + 2) * 2) + 1)) + 1)
A251780: 1 6 3 7 6 6 4 6 9 1 6 3 7 6 6 4
((((((x + 2) * 2) + x) * x) mod (((2 + 2) * 2) + 1)) + 1)
A194731: 1 8 3 4 2 6 7 5 9 1 8 3 4 2 6 7
((x + 1) mod ((x div (((0 - x) mod ((2 + 2) * 2)) + 1)) + 1))
A091890: 0 0 0 0 0 0 1 0 0 0 1 0 1 2 0 0
((((x * x) * 2) div (x - ((x div ((2 + 2) * 2)) - 1))) + 1)
A337694-A328336: 1 2 3 5 7 9 11 13 17 19 21 23 25 27 29 31
(x - (((x * 2) div ((((2 - x) div (2 + 2)) - 2) - 1)) - 1))
A182834: 1 3 5 6 7 9 10 11 13 14 15 16 17 19 20 21
(((((2 + 1) * x) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1)
A327704: 1 2 3 4 4 5 5 6 6 6 7 7 7 7 8 8
((x + 1) mod (((x * 2) div (((x div (2 + 2)) + 2) + 1)) + 1))
A088673: 0 0 1 1 2 0 3 0 1 2 1 2 3 4 0 4
((x * 2) mod (((x * x) mod (((x div (2 + 2)) + 2) + 1)) + 1))
A324881: 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 2
((((x + 2) * x) mod ((x div ((x div (2 + 2)) + 2)) + 1)) + 1)
A075104: 1 1 1 2 1 2 1 1 3 1 1 3 1 1 3 4
((x + 2) mod (((x * 2) mod (((x div (2 + 2)) * 2) - 1)) + 1))
A334702: 0 0 0 0 0 0 0 0 0 0 0 1 4 1 0 0
((((x div (2 + 1)) - 1) div (((x div (2 + 2)) mod 2) + 1)) + 1)
A335660: 0 0 0 1 1 1 1 1 2 3 3 3 2 2 2 3
(((x + 2) div ((((((x div 2) * x) mod 2) + 2) + 2) + 1)) + 1)
A025423: 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 3
(((1 - x) mod (((x * x) div (((x div 2) + 2) + 2)) + 1)) + 1)
A241827: 1 1 1 1 1 2 2 3 3 4 4 5 5 6 6 8
((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)
A345994-A330692-A284600-A114536-A085091-A052128: 1 1 1 1 1 2 1 1 1 2 1 3 1 2 3 1
(((x - 1) div ((((1 - x) mod ((x div 2) + 2)) + 2) + 1)) + 1)
A087011: 0 1 1 1 1 2 2 1 1 2 2 2 2 2 2 3
((x mod (((((0 - x) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)
A277326: 1 1 1 1 1 2 1 1 1 2 2 3 1 2 1 1
(((x + 2) - ((2 - x) div ((((x mod 2) + 2) + 2) + 1))) + 1)
A152012: 3 4 5 7 8 9 10 11 13 14 15 16 17 18 20 21
(x - (((x div 2) - (x div ((((x mod 2) + 2) * 2) + 1))) - 1))
A156253: 1 2 2 3 3 4 5 6 6 7 8 8 9 9 10 11
(((2 - x) * 2) mod ((x div ((((x mod 2) + 2) * 2) + 1)) + 1))
A326642: 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 1
((((x div 2) + x) - (x div ((((x mod 2) + 2) * 2) + 1))) + 1)
A079726: 1 2 4 5 7 8 9 10 12 13 14 16 17 19 20 21
(((x div 2) mod (((x * x) mod (((x mod 2) + 2) * 2)) + 1)) + 1)
A342007: 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 4
(((x + 1) div ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1)
A337686-A007978: 2 3 2 3 2 4 2 3 2 3 2 5 2 3 2 3
(((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1)
A291329-A291328-A291327-A060654: 1 1 2 1 3 1 4 3 5 1 6 1 7 5 8 1
(x div (((x div 2) div (((x mod ((x mod 2) + 2)) div 2) + 1)) + 1))
A328457: 0 1 1 1 1 2 1 1 1 1 1 3 1 1 1 1
(((x mod ((2 + 2) + 1)) mod (((x - 1) mod (2 + 2)) + 1)) + 1)
A139458: 1 1 1 1 1 1 2 3 4 1 1 2 3 1 1 1
(((x mod (2 + 1)) div ((((1 - x) div 2) mod (2 + 2)) + 1)) + 1)
A205399: 1 2 1 1 1 1 1 1 3 1 1 1 1 1 2 1
(((((x + 2) * x) + 2) mod (((x + 2) mod (2 + 2)) + 1)) - 1)
A318608: 1 0 ~1 0 1 0 ~1 0 0 0 ~1 0 1 0 ~1 0
((((x + 2) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)
A000189: 1 1 1 2 1 1 1 4 3 1 1 2 1 1 1 4
(((x div (2 + 1)) mod ((((x * x) div 2) mod (2 + 2)) + 1)) + 1)
A031229: 1 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1
(x - (((x - (x mod ((0 - 2) - 1))) div ((2 + 2) + 1)) - 1))
A187737: 1 2 3 4 4 5 6 7 8 9 9 10 11 11 12 13
(((((x - 1) * x) * ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1)
A257352: 1 1 51 151 301 501 751 1051 1401 1801 2251 2751 3301 3901 4551 5251
(x - (((((x div 2) + 1) div (2 + 1)) * ((2 + 2) + 1)) - 1))
A071513: 1 2 3 4 0 1 2 3 4 5 1 2 3 4 5 6
(((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) + 1)
A080754: 3 5 8 10 13 15 17 20 22 25 27 29 32 34 37 39
(x - (((((x + 1) div 2) div (2 + 1)) * ((2 + 2) + 1)) - 1))
A338494: 1 2 3 4 5 1 2 3 4 5 6 2 3 4 5 6
(((((x * x) * (2 + 2)) * (2 + 1)) * ((2 + 2) + 1)) + 1)
A158673: 1 61 241 541 961 1501 2161 2941 3841 4861 6001 7261 8641 10141 11761 13501
((((((x + 1) * x) div 2) * (2 + 1)) * ((2 + 2) + 1)) + 1)
A069128: 1 16 46 91 151 226 316 421 541 676 826 991 1171 1366 1576 1801
((0 - x) mod ((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1))
A248739-A004962: 0 30 59 88 117 146 175 204 233 262 291 320 349 378 407 436
(x - (((((0 - x) * x) * (2 + 1)) div ((2 + 2) + 1)) - 1))
A025745: 1 3 6 10 15 21 29 38 48 59 71 85 100 116 133 151
(((((x + 1) * 2) * ((x * 2) + 1)) div ((2 + 2) + 1)) + 1)
A022330: 1 3 7 12 19 27 37 49 62 77 93 111 131 152 175 199
(((((x div 2) + 2) * ((x div 2) + 1)) div ((2 + 2) + 1)) + 1)
A283529-A064986: 1 1 2 2 3 3 5 5 7 7 9 9 12 12 15 15
(((((2 + 2) * (x + 1)) * (x + 1)) * ((2 + 2) + 1)) - 1)
A158491: 19 79 179 319 499 719 979 1279 1619 1999 2419 2879 3379 3919 4499 5119
((((2 + 2) + 1) mod (x - ((x + 1) mod ((2 + 2) + 1)))) + 1)
A214080: 1 1 1 1 2 2 2 2 2 6 6 6 6 6 6 6
((((x div ((0 - 2) * (2 + 1))) mod 2) * ((2 + 2) + 1)) + 1)
A269348: 1 6 6 6 6 6 6 1 1 1 1 1 1 6 6 6
(((x * x) * x) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070491: 0 1 8 27 6 9 13 24 19 4 14 26 17 22 18 11
((((((x + 1) * x) * (2 + 1)) + 2) * ((2 + 2) + 1)) + 1)
A132208: 11 41 101 191 311 461 641 851 1091 1361 1661 1991 2351 2741 3161 3611
((((x * 2) * 2) - (((x + 1) * 2) div ((2 + 2) + 1))) + 1)
A322534: 1 5 8 12 15 19 23 26 30 33 37 41 44 48 51 55
((((x mod (((2 + 2) + 1) * 2)) * 2) * ((2 + 2) + 1)) + 1)
A216100: 1 11 21 31 41 51 61 71 81 91 1 11 21 31 41 51
((x * x) - (x - ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1)))
A142719: 41 41 43 47 53 61 71 83 97 113 131 151 173 197 223 251
(((x * x) * x) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070503: 0 1 8 27 23 2 11 15 20 32 16 19 6 24 38 13
(((x * 2) * 2) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A076310: 0 4 8 12 16 20 24 28 32 36 1 5 9 13 17 21
(((x * x) * x) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070501: 0 1 8 27 25 8 21 31 5 27 25 5 12 13 14 21
((((x + 1) * x) div (((2 + 2) * 2) * ((2 + 2) + 1))) + 1)
A094990: 1 1 1 1 1 1 2 2 2 3 3 4 4 5 6 7
((((x div 2) - ((0 - x) mod (2 + 2))) div ((2 + 2) + 1)) + 1)
A053280: 1 0 0 1 1 0 1 1 1 1 1 1 2 1 2 2
((((((x + 2) + 2) * (x + 2)) - 2) * ((2 + 2) + 1)) - 1)
A134547: 29 64 109 164 229 304 389 484 589 704 829 964 1109 1264 1429 1604
(((x * 2) + 1) div ((((x + 2) * 2) div ((2 + 2) + 1)) + 1))
A157720: 1 1 2 2 3 3 3 3 3 3 4 3 4 3 4 4
((((((2 + 2) * (x + 1)) + x) * 2) * ((2 + 2) + 1)) - 1)
A242181: 39 89 139 189 239 289 339 389 439 489 539 589 639 689 739 789
((((((x * x) div (2 + 2)) + x) + 2) div ((2 + 2) + 1)) + 1)
A076678: 1 1 2 2 3 3 4 5 6 7 8 9 11 12 14 15
(1 - ((x - 1) div ((((2 - x) div 2) div ((2 + 2) + 1)) - 1)))
A284849: 0 1 2 2 3 3 4 4 5 5 6 6 7 5 6 6
(((x * 2) - ((((x div 2) + x) + 2) div ((2 + 2) + 1))) + 1)
A189573: 1 3 4 6 8 10 11 13 15 16 18 20 21 23 25 27
((x div 2) - ((2 + 2) mod (((x + 2) div ((2 + 2) + 1)) + 1)))
A294242-A241139: 0 0 1 1 2 2 3 3 3 3 4 4 5 6 7 7
(((((x * x) div (2 + 2)) + (x * 2)) div ((2 + 2) + 1)) + 1)
A000115: 1 1 2 2 3 4 5 6 7 8 10 11 13 14 16 18
(((((x * x) div (2 + 2)) - (x * 2)) div ((2 + 2) + 1)) + 1)
A063595: 1 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6
(((((x * x) div ((2 + 2) + 1)) + x) div ((2 + 2) + 1)) + 1)
A034886: 1 1 1 1 2 3 3 4 5 6 7 8 9 10 11 13
(((x * 2) - (((x div (2 + 1)) + x) div ((2 + 2) + 1))) + 1)
A184626: 1 3 5 7 8 10 12 14 15 17 19 21 22 24 26 27
(((x + 1) * 2) div ((2 - ((1 - x) div ((2 + 2) + 1))) + 1))
A071626: 0 1 1 2 2 3 3 3 3 4 4 4 4 4 5 5
(x - (((x div 2) + 2) div (((1 - x) div ((2 + 2) + 1)) - 1)))
A071191: 2 3 4 5 6 7 9 9 10 11 13 14 14 15 17 18
((((((x * x) * (x * x)) - 1) * x) div ((2 + 2) + 1)) - 1)
A134327: ~1 ~1 5 47 203 623 1553 3359 6551 11807 19997 32207 49763 74255 107561 151871
((((((x div 2) mod (2 + 1)) div 2) * x) div ((2 + 2) + 1)) + 1)
A181386: 1 1 1 1 1 2 1 1 1 1 3 3 1 1 1 1
((x div 2) - ((x div (2 - ((2 - x) div ((2 + 2) + 1)))) - 1))
A212218: 1 1 1 1 2 2 2 2 3 3 4 4 4 5 6 5
((x - ((((2 - x) - (x * 2)) * x) * ((2 + 2) + 1))) + 1)
A134154: 1 7 43 109 205 331 487 673 889 1135 1411 1717 2053 2419 2815 3241
(x - ((((1 - x) div (2 + 1)) - (x div ((2 + 2) + 1))) - 1))
A206907: 1 2 4 5 6 9 10 11 13 14 16 18 19 20 22 24
((((x mod ((2 + 2) + 1)) * 2) + (x div ((2 + 2) + 1))) + 1)
A004155: 1 3 5 7 9 2 4 6 8 10 3 5 7 9 11 4
(x - (((2 - ((x - 1) div 2)) * (x div ((2 + 2) + 1))) - 1))
A082463: 1 2 3 4 5 6 7 9 10
A261040: 1 2 3 4 5 6 7 9 10 12 15
((x * 2) mod (2 - (x mod (0 - ((x div ((2 + 2) + 1)) + 1)))))
A227761: 0 0 0 0 0 1 0 2 0 0 0 1 0 2 1 0
(((x mod ((2 + 2) + 1)) + 1) * ((x div ((2 + 2) + 1)) + 1))
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((((((x * x) - 1) * ((x + 2) + 1)) div 2) div (2 + 1)) + 1)
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((((((1 - x) div (2 + 1)) mod (x + 1)) * 2) div (2 + 1)) + 1)
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((((x + 2) div (2 - (x mod ((0 - 2) - 2)))) div (2 + 1)) + 1)
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((x div ((((x + 1) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + 1)
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(((x - (2 div (x - (((2 + 2) * 2) * 2)))) * (2 + 1)) - 1)
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((((x div (((2 - x) mod (2 + 2)) + 2)) + 2) div (2 + 1)) + 1)
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(((((((x div 2) + (x * 2)) * 2) * 2) * 2) * (2 + 1)) + 1)
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((((((x div 2) div (2 + 1)) + x) * (2 + 2)) div (2 + 1)) + 1)
A336223-A333634-A326535-A325779-A325511-A325467-A325399-A325398-A319315-A301899-A298540-A240370-A193304-A077377-A076786-A064594-A005117: 1 2 3 5 6 7 10 11 13 14 15 17 19 21 22 23
((((((2 - x) + (2 + 1)) * x) * (2 + 2)) div (2 + 1)) + 1)
A330564: 1 6 9 9 6 1
(((((((x * x) * 2) + 1) * x) * (2 + 2)) div (2 + 1)) + 1)
A171272: 1 5 25 77 177 341 585 925 1377 1957 2681 3565 4625 5877 7337 9021
(((((x + 1) * x) - ((x * x) div (2 + 2))) * (2 + 1)) + 1)
A121470: 1 7 16 31 49 73 100 133 169 211 256 307 361 421 484 553
(((((((x * 2) div (2 + 1)) + x) + 2) * 2) * (2 + 1)) - 1)
A128464: 11 17 29 41 47 59 71 77 89 101 107 119 131 137 149 161
(((((((2 + 1) * x) + 1) * (x + 2)) div 2) * (2 + 1)) + 1)
A283394: 4 19 43 76 118 169 229 298 376 463 559 664 778 901 1033 1174
((((((x * x) - (x div 2)) mod (x + 2)) div 2) div (2 + 1)) + 1)
A025793: 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3
((x - (((((x * x) * 2) div (x + 2)) - 2) div (2 + 1))) + 1)
A177876: 2 3 3 4
A269225: 2 3 3 4 4 5 5 6 6 6 7 7 7 8 8 8
(x - (((((1 - (x div 2)) * (x div 2)) div 2) div (2 + 1)) - 1))
A028237-A004436: 1 2 3 4 6 7 8 9 11 12 15 16 18 19 22 23
((((2 - ((x - 1) div 2)) * ((x div 2) + 2)) div (2 + 1)) - 1)
A060022: 1 0 1 0 0 ~1 ~1 ~3 ~3 ~5 ~6 ~8 ~9 ~12 ~13 ~16
(((((((x + 2) * (2 + 1)) - 1) * x) div 2) * (2 + 1)) + 1)
A081271: 1 13 34 64 103 151 208 274 349 433 526 628 739 859 988 1126
(((((((x + 2) * (x + 1)) + 1) * x) * 2) div (2 + 1)) + 1)
A213397: 1 5 18 43 83 144 229 341 486 667 887 1152 1465 1829 2250 2731
(((((((x div 2) + 1) * (2 + 1)) + x) * 2) * (2 + 1)) - 1)
A267984: 17 23 47 53 77 83 107 113 137 143 167 173 197 203 227 233
((((((((x * x) + 2) * x) - 1) * x) * 2) div (2 + 1)) + 1)
A117393: 1 2 15 65 190 447
(((x + 1) * x) - (((((x - 1) * x) div 2) div (2 + 1)) - 1))
A025742-A022791: 1 3 7 12 19 28 38 50 64 79 96 115 135 157 181 206
(1 div (((x - (((x div (0 - 2)) * x) div 2)) mod (2 + 1)) + 1))
A267355-A267050: 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1
(((((((x + 2) * (x + 2)) div 2) * x) div 2) * (2 + 1)) + 1)
A213390: 1 7 25 55 109 181 289 421 601 811 1081 1387 1765 2185 2689 3241
(x mod (((((x - ((x div 2) mod 2)) * x) div 2) mod (2 + 1)) + 1))
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(1 div (1 - ((x * 2) mod ((((2 - x) + 2) * (2 + 1)) - 1))))
A071524: 1 ~1 ~1 1 1 0 0 0 0 0 0 1 0 0 0 0
(((((x * x) * x) mod (x - ((2 - x) div 2))) mod (2 + 1)) + 1)
A309228: 1 1 1 1 2 1 1 1 1 2 1 1 3 1 2 1
(x mod (((((((x div 2) * x) mod 2) + x) * 2) div (2 + 1)) + 1))
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((((x mod (2 + 1)) * (2 + 1)) + ((x + 2) div (2 + 1))) + 1)
A227417: 1 5 8 2 6 9 3 7 10 4 8 11 5 9 12 6
(((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) + 1)
A300270-A255405: 1 1 1 1 1 2 2 2 2 3 3 4 4 5 6 6
(((((((x + 2) * 2) + 1) * x) * (x + 2)) div (2 + 1)) + 1)
A143371-A131423: 1 8 25 56 105 176 273 400 561 760 1001 1288 1625 2016 2465 2976
(x - ((x div (((2 + 2) * 2) - ((x - 2) div (2 + 1)))) - 1))
A095703: 1 2 3 4 5 6 7 7 8 9 10 10 11 12 12 13
(((((x div (2 + 1)) + x) * 2) - ((x - 2) div (2 + 1))) + 1)
A047378: 2 4 5 9 11 12 16 18 19 23 25 26 30 32 33 37
(((((((x + 1) div 2) div 2) mod 2) + (x * 2)) div (2 + 1)) + 1)
A206767: 1 1 2 3 4 4 5 5 6 7 7 8 9 10 10 11
(((x mod 2) - (((x div (2 + 2)) - (x * 2)) * (2 + 1))) + 1)
A219721: 1 8 13 20 22 29 34 41 43 50 55 62 64 71 76 83
(x - (((x * x) * x) div (x - (((x * 2) * (2 + 1)) + 1))))
A226329: 0 2 3 5 8 10 13 17 21 25 30 35 41 47 53 60
((((x - 1) div ((2 + 2) + 1)) * ((x div 2) div (2 + 1))) + 1)
A029116: 1 1 1 1 1 1 2 2 2 2 2 3 5 5 5 5
((((((x div 2) mod (2 + 2)) + x) + (x div 2)) div (2 + 1)) + 1)
A069928: 1 1 2 2 3 4 5 5 5 5 6 6 7 8 9 9
(1 - ((x div 2) mod (((x div (2 - (x mod 2))) div (2 + 1)) + 1)))
A343159: 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0
(((x + 2) + 2) mod ((((x * 2) - (x mod 2)) div (2 + 1)) + 1))
A073368: 0 0 0 1 2 1 0 1 0 1 0 7 7 8 8 9
((((((x div ((x mod 2) + 2)) + x) * x) div 2) mod (2 + 1)) + 1)
A325307: 1 1 1 1 1 1 1 2 1 1 1 3 1 3 1 1
((((x + 2) * 2) - ((((2 - x) * x) div 2) mod (2 + 1))) + 1)
A334303: 5 7 9 10 11 14 17
(((x * 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1))) + 1)
A083462: 1 3 6 11
A180415: 1 3 6 11 19 31 48 71 101 139 186 243 311 391 484 591
((x * x) - (((((1 - (x * x)) * x) div 2) div (2 + 1)) - 1))
A121968: 1 2 6 14 27 46 72 106 149 202 266 342 431 534 652 786
((((((((x * x) + 1) * 2) * 2) + 1) * x) div (2 + 1)) + 1)
A100503: 1 4 15 42 93 176 299 470 697 988 1351 1794 2325 2952 3683 4526
((((((((2 + 2) * 2) * 2) * 2) + 1) * x) * (2 + 1)) + 1)
A172178: 1 100 199 298 397 496 595 694 793 892 991 1090 1189 1288 1387 1486
(((((((x * x) - 2) * (2 + 2)) + 1) * x) div (2 + 1)) + 1)
A030440: 1 0 7 30 77 156 275 442 665 952 1311 1750 2277 2900 3627 4466
(((((x + 1) mod ((x div (2 + 2)) + 1)) * x) mod (2 + 1)) + 1)
A219093: 1 1 1 1 2 1 1 1 1 1 3 1 1 3 1 1
(x - (((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1)) - 1))
A187970: 1 3 4 5 6 8 9 10 11 13 15 16 17 18 20 21
(((((((x + 2) * x) * 2) div (2 + 1)) + x) div (2 + 1)) + 1)
A193622: 1 2 3 5 7 10
A022780: 1 2 3 5 7 10 13 17 21 26 31 36 42 48 55 62
(((x * 2) - ((((x - 2) div (2 + 1)) - x) div (2 + 1))) + 1)
A329838: 2 4 6 8 11 13 15 17 19 22 24 26 28 31 33 35
(((((((2 + 2) + 1) * x) + (2 + 1)) * x) * (2 + 1)) + 1)
A134153: 1 25 79 163 277 421 595 799 1033 1297 1591 1915 2269 2653 3067 3511
((x div ((2 + 2) * 2)) - (x div (((1 - x) div (2 + 1)) - 1)))
A061392: 0 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4
(((((x div (2 + 1)) + x) * 2) + ((1 - x) mod (2 + 1))) + 1)
A201363: 2 3 7
A047531: 2 3 7 10 11 15 18 19 23 26 27 31 34 35 39 42
(((x + 2) * (x + 1)) div ((((x + 1) * x) mod (2 + 1)) + 1))
A194767: 2 2 12 20 10 42 56 24 90 110 44 156 182 70 240 272
(((x * 2) - ((((x div 2) div (0 - 2)) - x) div (2 + 1))) + 1)
A231407: 1 4 6
A186222: 1 4 6 9 11 13 16 18 21 23 26 28 30 33 35 38
(x - ((((((x div 2) * (x + 1)) mod 2) - x) div (2 + 1)) - 1))
A285958: 1 3 4 5 7 8 9 11 12 13 14 16 17 19 20 21
(((x * 2) - (((((x - 1) div 2) mod 2) - x) div (2 + 1))) + 1)
A231407: 1 4 6
A287106: 1 4 6 8 10 13 15 17 20 22 25 27 29 32 34 36
(x - (((((x div ((0 - 2) - 2)) mod 2) + x) div (2 + 1)) - 1))
A057561: 1 2 2 3 4 5 5 6 7 7 8 8 9 10 11 11
(x - (((((x div ((0 - 2) - 2)) mod 2) - x) div (2 + 1)) - 1))
A288174: 1 2 4 5 6 8 9 11 12 13 14 16 17 19 20 21
(((x * x) div (((((2 + 2) * 2) * 2) + x) + (2 + 1))) + 1)
A029098: 1 1 1 1 1 2 2 2 3 3 4 5 5 6 6 7
((x div 2) mod (1 - ((x * 2) mod (((2 - x) div (2 + 1)) - 1))))
A219023: 0 0 0 0 0 0 0 1 1 1 0 2 0 1 1 0
((x div 2) mod (2 - ((x * 2) mod (((2 - x) div (2 + 1)) - 1))))
A334566: 0 0 1 1 0 0 1 0 0 0 1 1 0 0 3 1
(((((((x + 2) + 2) * 2) - (x div 2)) * x) div (2 + 1)) + 1)
A332494: 1 4 8 14 19 27
(((2 + 2) * (x + 1)) - ((((x div 2) * x) mod (2 + 1)) + 1))
A210532: 3 7 9 15 17 22
((((((x div 2) + x) + 1) * ((x mod 2) + x)) * (2 + 1)) + 1)
A298037: 1 13 25 61 85 145 181 265 313 421 481 613 685 841 925 1105
(x - ((1 - (x * x)) mod ((((x mod 2) * x) div (2 + 1)) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A327886: 0 1 2 3 4 5 6 7 8 9 10 11 12 11 14 11
((((x * 2) - (x mod ((0 - 2) - 1))) + (x div (2 + 1))) + 1)
A047321: 1 5 6 8 12 13 15 19 20 22 26 27 29 33 34 36
((((x * 2) - ((x + 1) mod (2 + 1))) + (x div (2 + 1))) + 1)
A047384: 0 1 5 7 8 12 14 15 19 21 22 26 28 29 33 35
((((x * 2) * 2) div (((2 + 2) * 2) + (x div (2 + 1)))) + 1)
A099741: 1 1 2 2 2 3 3 3 4 4 4 5 5 5 5 5
(x - (((x * x) div (((x + 2) * 2) - (x div (2 + 1)))) - 1))
A195778: 1 2 3 3 4 5 5 5 6 6 7 7 7 8 8 9
(((((x div ((2 + 2) * 2)) + x) * 2) + (x div (2 + 1))) + 1)
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A287236: 1 3 5 8 10 12 15 17 21 24 26 28 31 33 35 38
(((((x + 2) * x) + 1) div ((x + 2) - (x div (2 + 1)))) + 1)
A092418-A004195: 1 2 3 5 6 7 9 10 11 13 14 15 17 18 19 22
((((x - 1) mod ((2 + 2) + 1)) - 1) mod ((x div (2 + 1)) + 1))
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((2 - (x div ((x div (0 - 2)) - 1))) + ((x div (2 + 1)) + 1))
A257923: 3 4 4 5 6 6 7 7 7 8 8 8
((1 - (((x * 2) * 2) * (x + 1))) mod ((x div (2 + 1)) + 1))
A232463: 0 0 0 1 1 1 1 2 1 1 1 1 2 3 1 1
(x - (1 - ((1 - x) div ((x + 1) div ((x div (2 + 1)) + 1)))))
A224709: 0 0 0 1 1 2 2 3 4 4 4 6 5 6 8 7
((((x div 2) - (x mod (2 + 1))) mod 2) * ((x div (2 + 1)) + 1))
A101348: 0 1 1 2 2 0 3 0 0 0 0 4 0 5 5 6
(((((x div 2) + 1) * (x - 1)) - 2) mod ((x div (2 + 1)) + 1))
A076472: 0 0 0 0 1 0 0 1 0 2 0 2 0 2 2 2
(((x mod (2 + 2)) - ((x - 1) div 2)) mod ((x div (2 + 1)) + 1))
A035379: 0 0 0 0 1 1 0 0 0 1 2 2 0 0 1 2
(x mod (((2 + 1) * 2) - ((1 - x) div ((x div (2 + 1)) + 1))))
A190598: 0 1 2 3 4 5 6 7 8 1 1 2 3 4 5 6
(((x - ((2 + 2) * (x + 1))) * x) mod ((x div (2 + 1)) + 1))
A328194: 0 0 0 1 0 1 0 2 1 1 0 1 0 1 1 3
(((((x * 2) div (2 + 1)) * 2) + x) + ((x div (2 + 1)) + 1))
A047619: 1 2 5 9 10 13 17 18 21 25 26 29 33 34 37 41
(((2 div ((((2 + 2) * 2) * 2) - x)) * (x div (2 + 1))) + 1)
A160923: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 11
((((x - (x div ((0 - 2) - 1))) * 2) - (x mod (2 + 1))) + 1)
A047610: 1 4 5 9 12 13 17 20 21 25 28 29 33 36 37 41
((x + 2) div (((((x mod 2) + 1) * 2) + (x mod (2 + 1))) + 1))
A133755: 0 0 0 1 1 1 2 1 2 2 3 1 4 2 3 3
(x - (((x * x) div (((x + 1) * 2) + (x mod (2 + 1)))) - 1))
A266350: 1 2 3 3 4 5 5 6 6 6 7 8 8 9 9 9
((((((x * 2) div (2 + 1)) * 2) * 2) + (x mod (2 + 1))) + 1)
A047526: 1 2 7 9 10 15 17 18 23 25 26 31 33 34 39 41
(x - (((((x div (2 + 1)) mod 2) * 2) - (x mod (2 + 1))) - 1))
A131793: 1 3 5 2 4 6 7 9 11 8 10 12 13 15 17 14
((((x * x) - 1) div (((x + 2) * 2) + (x mod (2 + 1)))) + 1)
A029865: 0 1 1 1 2 2 3 3 3 4 4
A242736: 0 1 1 1 2 2 3 3 3 4 4 5 6 6 6 7
((2 - ((1 - x) div ((2 + 2) + 1))) mod ((x mod (2 + 1)) + 1))
A127324: 0 0 0 0 1 0 0 0 1 0 0 1 0 1 2 0
(((x mod ((x div (2 + 1)) + 2)) + 2) mod ((x mod (2 + 1)) + 1))
A290825: 0 1 2 0 1 1 0 1 2 0 0 0 0 1 1 0
(x div (x - ((((x - 1) div 2) div 2) * ((x mod (2 + 1)) + 1))))
A300820-A284259: 0 1 1 1 1 2 1 1 1 1 1 2 1 1 2 1
((((x - ((x div 2) mod 2)) div 2) - 2) mod ((x mod (2 + 1)) + 1))
A341353: 0 0 1 0 0 0 0 1 2 0 0 0 0 0 1 0
(((((x div (0 - 2)) mod 2) * 2) - 1) * ((x mod (2 + 1)) - 1))
A260190: 1 0 1 1 0 1 ~1 0 ~1 ~1 0 ~1 1 0 1 1
(((x mod ((2 - (x mod 2)) * 2)) - 1) * ((x mod (2 + 1)) - 1))
A016340-A016331-A016253-A015725-A014021: 1 0 1 0 0 0 ~1 0 ~1 0 0 0 1 0 1 0
(((((((x * 2) + 1) * (2 + 1)) + x) * x) * (2 + 1)) + 1)
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((((x + 2) * (x + 2)) * 2) mod (((x * x) * (2 + 1)) + 1))
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((2 div ((x div (((((2 + 2) * 2) * 2) - x) * 2)) + 1)) - 1)
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(2 div (((x + 1) mod ((((2 - x) div 2) mod (x + 2)) + 1)) + 1))
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(((x + 2) - (((x * x) div (2 + 1)) div ((x + 2) + 1))) + 1)
A121151: 3 4 5 6 7 7 8 9 10 10 11 12 12 13
((((((x + 2) * (x + 1)) div 2) + 2) * ((x + 2) + 1)) - 1)
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((2 + 1) div (((((x div 2) * x) + 2) mod ((x + 2) + 1)) + 1))
A319625: 1 1 0 0 0 0 1 0 1 1 3
((x + 1) div (((((2 + 2) * 2) * 2) mod ((x * 2) + 1)) + 1))
A001231: 1 1 1 1 0 1 1 4 0
((((x * 2) div (1 - ((2 + 2) * 2))) mod ((x * 2) + 1)) + 1)
A144077: 1 3 5 7 8 10 12 14 15 17 19 20 22 24 26 27
((x * x) mod (((((x + 2) + 2) + 1) mod ((x div 2) + 1)) + 1))
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((0 - x) mod ((((x * 2) div (2 + 1)) mod ((x div 2) + 1)) + 1))
A242830: 0 0 0 0 2 0 0 0 0 1 0 1 0 1 0 0
(((((2 + 2) * 2) mod ((x * 2) + 1)) mod ((x div 2) + 1)) + 1)
A071434: 1 1 2 2 3 3 1 1 4 4 3 3 2 2 1 1
(((x - ((x mod ((0 - 2) - 2)) - 2)) * ((x div 2) + 1)) + 1)
A118889: 3 7 13 13 19 31
((((x - ((x div (0 - 2)) - 2)) * 2) * ((x div 2) + 1)) - 1)
A164097: 3 7 19 27 47 59 87 103 139 159 203 227 279 307 367 399
(((((x * x) - 1) mod ((x mod 2) + 2)) mod ((x div 2) + 1)) + 1)
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((x + 2) mod ((((x div (2 + 2)) + x) mod ((x div 2) + 1)) + 1))
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(x - ((((x div 2) - ((x + 2) * x)) * ((x div 2) + 1)) - 1))
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((x + 1) mod ((x mod ((((2 + 2) * 2) + (x mod 2)) + 1)) + 1))
A329267-A319387-A297233-A261424-A151950-A064834: 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4
(((x * 2) mod (x - ((x + 1) mod ((2 - (x mod 2)) + 1)))) + 1)
A340084: 1 1 1 1 1 1 3 1 1 1 5 1 3 1 1 1
(((x * 2) div (2 + 1)) mod ((x mod ((2 - (x mod 2)) + 1)) + 1))
A065335: 0 0 1 0 0 1 0 0 2 0 0 1 0 0 0 0
((1 - (((x div 2) mod 2) * 2)) * ((x div ((x mod 2) + 1)) + 1))
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((((((x + 1) * x) div 2) - 1) * (((x * x) * 2) + 1)) + 1)
A277977: 0 1 19 96 298 715 1461 2674 4516 7173 10855 15796 22254 30511 40873 53670
((((2 - x) * x) mod ((((x div 2) div (2 + 1)) + x) + 1)) + 1)
A074294: 1 2 1 2 3 4 1 2 3 4 5 6 1 2 3 4
((((((x mod 2) * x) + 1) * x) * (((2 + 1) * x) + 1)) + 1)
A124274: 1 9 15 121
((((((x * x) * x) - 1) * x) * (((x - 1) * x) + 1)) + 1)
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(((x * x) div ((((x div ((2 + 2) + 1)) * 2) + x) + 1)) + 1)
A071991: 1 1 2 3 4 4 5 5 6 7 7 8 9 10 11 11
(x - (((x * x) div (((((2 + 2) * 2) * 2) + x) - 1)) - 1))
A327705: 1 2 3 4 5 5 6 6 7 7 7 8 8 8 9 9
((((x div 2) - 1) div (((((2 + 2) * 2) * 2) - x) + 1)) + 1)
A286745: 0 0 1 1 1 1 1 1 1 1 1 1 2 2 3 4
((((x * x) * 2) div ((((x * x) div (2 + 2)) + x) + 1)) + 1)
A131234: 1 2 3 4 4 5 5 5 6 6 6 6 6 7 7 7
((((((2 + 2) * 2) * 2) * 2) * (((x + 2) * x) + 1)) - 1)
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((((((x * x) * 2) div ((2 + 2) + 1)) - 1) mod (x + 1)) + 1)
A054072: 1 2 1 3 1 4 7 3 7 2 7 12 5 11 3 10
(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1)) + 1)
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(1 div ((((x + 2) mod (((2 + 1) * 2) + 1)) * (x + 1)) - 1))
A284503: 1 0 0 0 0 ~1 0 0 0 0 0 0 ~1 0 0 0
(((((x mod (((2 + 2) + 1) * 2)) * 2) + 1) mod (x + 1)) + 1)
A089898: 1 2 3 4 5 6 7 8 9 10 2 4 6 8 10 12
(((((2 - (x * x)) * 2) div ((2 + 2) + 1)) mod (x + 1)) + 1)
A194736: 1 1 3 2 5 3 1 6 3 9 5 1 9 4 13 7
(((((x + 1) * x) mod ((x mod (2 + 2)) + 1)) * (x + 1)) + 1)
A141517: 1 1 1 1 1 1 1 1 1 1 23 1 1 1 1 1
(((x - (2 - (((2 + 2) * 2) * (2 + 1)))) * (x + 1)) + 1)
A292509: 23 47 73 101 131 163 197 233 271 311 353 397 443 491 541 593
((2 - ((x - (((x * 2) * 2) * (2 + 1))) * (x + 1))) + 1)
A006222: 3 25 69 135 223 333 465 619 795 993 1213 1455 1719 2005 2313 2643
(((((2 + 2) * 2) * (x + 1)) + ((2 + 1) div (x + 1))) + 1)
A006622: 12 18 26 33 41
(((2 + 1) * 2) div (((1 - (x mod (2 + 1))) mod (x + 1)) + 1))
A254245: 6 6 2 3 6 1
(x - (((((2 - x) * x) * ((x * x) + 1)) * (x + 1)) + 1))
A125083: ~1 ~4 1 122 683 2344 6221 14006 28087 51668 88889 144946 226211 340352 496453 705134
(((((((x + 1) * 2) * (2 + 1)) - 1) * 2) * (x + 1)) + 1)
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((((((2 - x) div 2) mod ((2 + 2) + 1)) + 2) * (x + 1)) - 1)
A122004: 2 3 5 23 29
((2 - ((2 - (x mod ((x mod (2 + 1)) + 2))) div (x + 1))) + 1)
A122916: 1 3 3 3 3
A335550-A243129: 1 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3
((((((((x + 2) * 2) * 2) + x) - 1) * 2) * (x + 1)) + 1)
A228219: 15 49 103 177 271 385 519 673 847 1041 1255 1489 1743 2017 2311 2625
((((((x mod 2) * x) - (x div 2)) * (2 + 2)) * (x + 1)) + 1)
A129399: 1 9 ~11 33
(((((x + 2) * 2) * 2) - 1) * (((2 + 2) * (x + 1)) - 1))
A085027: 21 77 165 285 437 621 837 1085 1365 1677 2021 2397 2805 3245 3717 4221
(x - (((x * x) * (2 - x)) div (((2 + 2) * (x + 1)) - 1)))
A194203: 0 1 2 4 6 9 12 15 19 24 29 35 41 47 54 62
((((x + 1) div ((2 + 2) + 1)) + x) + ((2 mod (x + 1)) + 1))
A175354: 1 2 5 6 8 9 10 11 12 14 15 16 17 18 20 21
(((((x - ((x div 2) mod 2)) div 2) + x) + (2 mod (x + 1))) + 1)
A241884: 1 2 5 7 9 10 11 13 15 16 17 19 21 22 23 25
(((((((2 + 2) * (2 + 1)) - 1) * x) * 2) * (x + 1)) + 1)
A195318: 1 45 133 265 441 661 925 1233 1585 1981 2421 2905 3433 4005 4621 5281
((((x mod 2) - ((((x div 2) mod 2) - x) div 2)) mod (x + 1)) + 1)
A116922: 1 1 2 3 3 5 4 5 5 7 6 7 7 9 8 9
((((x + 2) * x) + (2 + 1)) * (((x + 2) * (x + 1)) + 1))
A268262: 9 42 143 378 837 1634 2907 4818 7553 11322 16359 22922 31293 41778 54707 70434
(((((x + 1) * x) div 2) + 1) * (((x + 2) * (x + 1)) - 1))
A058310: 1 10 44 133 319 656 1210 2059 3293 5014 7336 10385 14299 19228 25334 32791
(((((2 - x) * x) div (2 + 2)) + ((x * 2) * (x + 1))) + 1)
A271937: 1 5 13 24 39 57 79 104 133 165 201 240 283 329 379 432
((((((x * 2) - 1) * x) * (2 - (x mod 2))) * (x + 1)) + 1)
A091824: 1 3 37 61
(((x * 2) - ((((x - 1) div (2 + 1)) * x) div (x + 1))) + 1)
A284055: 1 3 5 7 9 11 13 14 16 18 19 21 23 24 26 28
((((x * x) * (x - 1)) div 2) * (((x * x) * (x + 1)) + 1))
A085743: 0 0 26 333 1944 7550 22770 57771 129248 262764 495450 879065 1483416 2400138 3746834 5671575
((((x * x) * (x + 1)) div 2) * (((x * x) * (x - 1)) + 1))
A214085: 0 1 30 342 1960 7575 22806 57820 129312 262845 495550 879186 1483560 2400307 3747030 5671800
((((((x * x) * (2 + 2)) * 2) + 1) * ((x * x) + 1)) + 1)
A083196: 2 19 166 731 2194 5227 10694 19651 33346 53219 80902 118219 167186 230011 309094 407027
((x div 2) - (x div (x - ((x mod ((2 + 2) * (0 - 2))) + 1))))
A337102-A319611: 0 0 1 1 2 2 3 2 3 4 5 5 6 6 7 6
((x - (((((x div (2 + 2)) mod 2) + x) div 2) div (0 - 2))) + 1)
A288708-A285670: 1 2 4 5 6 8 9 10 11 12 14 15 16 18 19 20
(((x mod 2) - ((2 - x) div (2 - ((x div 2) div (0 - 2))))) + 1)
A253630: 0 2 1 3 2 3 2 4 3 4 3 4 3 5 3 5
(((x div 2) + 1) div (1 - (x div (((x div 2) div (0 - 2)) - 1))))
A296237: 1 0 1 0 1 0 1 1 1 1 1 1 1 1 2 2
(((x + 1) * 2) - (((x div (2 + 2)) + x) div ((0 - 2) - 1)))
A080652: 2 5 7 9 12 14 17 19 22 24 26 29 31 34 36 38
(((x mod ((2 + 2) + 1)) + 1) mod ((2 - (x div (0 - 2))) + 1))
A125923: 1 2 3 4 0 1 2 3 4 5 1 2 3 4 5 1
((((x + 1) * 2) - ((2 - x) div (2 - (x div (0 - 2))))) + 1)
A212446: 2 5 7 10 12 14 16 18 20 22 25 27 29 31 33 35
(x mod (2 - ((((2 + 2) + 1) * x) div ((x div (0 - 2)) - 1))))
A103303: 0 1 2 3 4 5 6 7 8 9
A190599: 0 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4
(x - (((x - (2 + 1)) * x) div (x - ((x div (0 - 2)) - 1))))
A166127: 0 2 3 3 4 4 5 5 5 6 6 7 7 7 7 8
((((x mod (((x + 2) div ((2 + 2) + 1)) + 1)) + 1) div 2) + 1)
A257023: 1 1 1 2 1 2 1 2 2 1 2 2 1 2 2 3
((((((x * x) * 2) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A162545-A162544: 1 1 1 1 1 1 1 2 2 2 1 2 3 3 2 1
(x - ((x div ((x div ((x div ((0 - 2) - 1)) - 1)) - 2)) - 1))
A184427: 1 3 4 5 6 8 9 10 11 12 14 15 16 17 18 19
(((x mod 2) - ((x mod ((x div ((0 - 2) - 1)) - 1)) mod 2)) + 1)
A336865: 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1
(((x mod (((1 - x) div (((2 + 1) * 2) + 1)) - 1)) mod 2) + 1)
A325599: 1 1 1 2 1 2 1 2 1 1 1 2 1 1 2 1
(((x - (((2 - x) div (((2 + 1) * 2) + 1)) - 1)) * 2) + 1)
A088828: 3 5 7 11 13 15 17 19 21 23 27 29 31 33 35 37
((((0 - x) mod (((x + 1) mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A167911: 1 2 2 2 1 1 1 1 2 1 1 1 1 2 1 1
(((x - ((((x mod 2) - x) div ((2 + 2) + 1)) - 1)) * 2) + 1)
A173263: 3 5 9 11 13 15 19 21 23 25 27 29 33 35 37 39
(((x - (2 mod (0 - ((x div ((2 + 2) + 1)) + 1)))) * 2) + 1)
A074775: 1 3 5 7 9 11 13 15 17 19 23 25 27 29 31 35
(((((x div 2) + x) mod ((x div ((2 + 2) + 1)) + 1)) mod 2) + 1)
A136436: 1 1 1 1 1 2 2 1 1 2 1 2 1 2 1 1
((((((x + 2) * 2) - (x mod ((2 + 2) + 1))) + 1) * 2) + 1)
A277694-A179084: 11 13 15 17 19 31 33 35 37 39 51 53 55 57 59 71
(((((x * 2) - 1) mod ((x mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A001826: 1 1 1 1 2 1 1 1 2 2 1 1 2 1 2 1
(((x + 2) mod (((((x div 2) + 1) div (2 + 1)) + 1) * 2)) + 1)
A194070: 1 2 1 2 3 4 1 2 3 4 1 2 3 4 5 6
(1 div ((((1 - x) mod (((2 + 2) * (2 + 1)) + 1)) * 2) - 1))
A016420-A016401-A016395-A016376-A016364-A016360-A014022: 1 ~1 0 0 0 0 0 0 0 0 0 0 0 1 ~1 0
(((((x * 2) * 2) mod (((2 + 2) * (2 + 1)) - 1)) * 2) + 1)
A136313: 1 9 17 3 11 19 5 13 21 7 15 1 9 17 3 11
(1 div ((((1 - x) mod (((2 + 2) * (2 + 1)) - 1)) * 2) - 1))
A016418-A016413-A016403-A016387-A016381-A016365-A016356-A016351-A014020: 1 ~1 0 0 0 0 0 0 0 0 0 1 ~1 0 0 0
(((x + 1) div ((x mod (((2 + 2) * (2 + 1)) - 1)) + 2)) + 1)
A066960-A061827: 1 1 1 1 1 1 1 1 1 1 1 7 5 4 4 3
((((((x + 1) * x) div ((2 + 2) * (2 + 1))) + 1) div 2) + 1)
A029055: 1 1 1 2 2 2 3 3 4 5 6 7 8 9 10 11
(((((x * x) * 2) mod (((x div 2) div (2 + 1)) + 1)) * 2) + 1)
A046599-A046594-A046585-A046584-A046582-A046581: 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 1
((((((x div ((2 + 2) + 1)) * x) div (2 + 1)) + 1) div 2) + 1)
A046052: 1 1 1 1 1 2 2 2 2 3 4 5
(((((x mod 2) + x) mod (((1 - x) div (2 + 1)) - 1)) mod 2) + 1)
A079487: 1 1 1 1 1 1 1 2 1 1 1 2 2 2 1 1
((((((x + 2) * (x + 1)) + (x div (2 + 1))) + 1) div 2) + 1)
A181020: 2 4 7 12 17 23 30 38 47 58
(((((1 - x) * (2 + 1)) mod ((x div (2 + 1)) + 1)) div 2) + 1)
A208970: 1 1 1 1 1 1 1 1 1 1 1 2 2 3 1 1
((((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) * 2) + 1)
A185091: 1 1 1 3 1 3 1 3 5 7 1 3 1 3 5 7
((((((x div 2) * x) + 2) mod ((x div (2 + 1)) + 1)) mod 2) + 1)
A193348-A056624: 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 2
((((((x mod 2) + x) + 2) mod ((x div (2 + 1)) + 1)) div 2) + 1)
A321724: 1 1 1 1 1 1 2 1 1 1 1 2 3 1 1 1
((((1 - ((x * x) * 2)) mod ((x div (2 + 1)) + 1)) div 2) + 1)
A274138: 1 1 1 1 1 1 1 2 2 2 1 2 2 2 3 1
((((((x * x) * x) div 2) div ((x div (2 + 1)) + 1)) mod 2) + 1)
A275675: 1 1 1 1 1 2 1 2 2 2 2 1 1 2 1 2
((((2 + 2) + 1) * x) - ((((x div (2 + 1)) - 1) div 2) - 1))
A215247: 2 7 12 16 21 26 31 36 41 45 50 55 60 65 70 74
((((x + 1) mod (((2 + 2) mod ((x div 2) + 1)) + 1)) mod 2) + 1)
A338411-A120698: 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 2
(((x mod ((((1 - x) mod (2 + 2)) mod (x + 1)) + 1)) div 2) + 1)
A279848: 1 1 1 1 1 1 2 1 1 1 2 2 1 1 2 1
(x - ((((((x div (2 + 2)) + x) div (0 - 2)) - 1) * 2) - 1))
A284625: 3 6 7 10 13 14 17 18 21 24 25 28 31 32 35 36
(((x mod (((x div (((2 + 1) * 2) + 1)) + 2) + 1)) div 2) + 1)
A239228: 1 1 2 1 1 2 1 2 1 1 2 2 1 1 3 1
(((((x - (x div (((0 - 2) - 2) - 1))) * 2) + 1) * 2) + 1)
A106374: 3 11 15 19 23 27 35
(((x mod ((((x - 1) mod ((2 + 2) + 1)) * 2) - 1)) mod 2) + 1)
A063014: 1 1 1 1 1 2 1 1 1 1 2 1 1 2 1 2
(((x mod ((0 - ((x div ((2 + 2) + 1)) * 2)) - 1)) mod 2) + 1)
A220280: 1 1 1 1 1 2 1 1 2 1 1 1 2 1 2 1
(((x mod ((2 - ((x mod ((2 + 2) + 1)) div 2)) + 1)) + 2) + 1)
A095925: 3 4 3 4 3 5 3 4 3 3 4 5 3 4 3 3
(((x mod (((x div (((x mod 2) + 2) + 1)) * 2) - 1)) div 2) + 1)
A255616: 1 1 1 1 1 1 1 1 2 1 1 2 3 2 1 1
(((x mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1)) div 2) + 1)
A306684-A293991-A288638-A261494-A084097: 1 1 1 1 1 1 1 1 2 1 1 1 3 4 1 1
((((((((x + 1) * x) div 2) * (2 + 1)) div 2) + 1) * 2) + 1)
A269112: 3 5 11 21 33 47 65 87 111 137 167 201 237 275 317 363
((((x * x) mod ((((x - 2) div (2 + 1)) * 2) - 1)) mod 2) + 1)
A255934: 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 2
(((x - (((2 - x) + 1) div (((2 + 1) * 2) + 1))) * 2) + 1)
A182318-A175679: 1 3 5 7 11 13 15 17 19 21 23 27 29 31 33 35
(1 div (((((x + 2) * 2) mod (((2 + 1) * 2) + 1)) * 2) - 1))
A238470: 0 0 1 0 0 ~1 0 0 0 1 0 0 ~1 0 0 0
(x - (((((x * 2) * 2) div (((2 + 1) * 2) + 1)) * 2) + 1))
A123738: ~1 0 ~1 0 ~1 0 ~1 ~2 ~1 ~2 ~1 ~2 ~1 ~2 ~3 ~2
((((((x + 1) * x) + 2) * (((2 + 1) * 2) + 1)) + 2) + 1)
A256374: 17 31 59 101 157 227 311 409 521 647 787 941 1109 1291 1487 1697
(((2 + 1) * x) - ((x mod ((((2 + 1) * 2) + 1) * 2)) - 1))
A033039: 1 3 5 7 9 11 13 15 17 19 21 23 25 27 43 45
(x - (((((2 + 1) * x) div (((2 + 1) * 2) + 1)) * 2) + 1))
A194511: ~1 0 1 0 1 0 1 0 1 2 1 2 1 2 1 2
(((x - ((x + 1) mod ((x mod ((2 + 1) * 2)) + 1))) div 2) + 1)
A096125: 1 1 2 2 3 3 4 4 5 4 5 6 7 7 8 8
((((x + 1) mod (((x * x) mod ((2 + 1) * 2)) + 1)) div 2) + 1)
A070084: 1 1 2 1 1 1 1 1 3 2 1 1 1 1 1 1
((((x - 2) mod (((x * x) mod ((2 + 1) * 2)) + 1)) div 2) + 1)
A097587: 1 1 1 1 2 1 1 1 1 2 2 1 1 1 2 1
(((x - (x div ((((1 - x) mod (2 + 1)) + 2) + 1))) div 2) + 1)
A099199: 1 1 2 2 2 3 3 3 4 4 4 5 5 5 7 7
(x mod ((((x + 1) mod (((x div (2 + 1)) * 2) - 1)) div 2) + 1))
A216600: 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 3
(((((x * 2) - 1) div (((x mod (2 + 1)) * 2) + 1)) mod 2) + 1)
A087890: 2 1 1 2 1 2 2 1 2 2 1 1 2 1 2 2
((((0 - x) mod (((x - (x mod (2 + 1))) div 2) + 1)) div 2) + 1)
A337255: 1 1 1 1 1 1 2 1 1 1 1 3 2 1 1 1
((((x + 1) mod (((2 mod ((x div 2) + 1)) + 2) + 1)) mod 2) + 1)
A001030: 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2
(x - (((x - (x div ((((x div 2) + 1) div 2) + 1))) div 2) - 1))
A167743: 1 2 3 3 4 5 5 6 6 7 7 8 9 9 9 10
((((x div 2) - (x div ((((x mod 2) + 1) * 2) + 1))) mod 2) + 1)
A172069: 1 1 2 2 2 2 2 1 1 2 1 2 1 1 2 1
((x div ((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + 1)
A091090: 1 1 1 2 1 2 1 3 1 2 1 3 1 2 1 4
(((((((x mod ((x mod 2) + 2)) + x) + 1) div 2) + 1) * 2) + 1)
A079578: 3 5 5 7 7 11 9 11 11 13 13 17 15 17 17 19
(((x - (((x + 2) * x) div (((0 - 2) - 2) - 1))) div 2) + 1)
A008732-A005706: 1 2 3 4 5 7 9 11 13 15 18 21 24 27 30 34
(((x - (((x div 2) + x) div (((0 - 2) - 2) - 1))) * 2) + 1)
A141106: 1 5 7 9 13 15 17 19 23 25 27 31 33 35 39 41
(((x mod ((x mod (1 - (x div ((0 - 2) - 2)))) + 1)) div 2) + 1)
A082647: 1 1 1 1 1 2 1 1 2 1 1 2 1 1 3 1
(((((((x div (2 + 1)) * (x + 1)) div 2) div 2) + 1) div 2) + 1)
A029059: 1 1 1 2 2 2 3 3 3 5 5 6 8 8 9 11
((((1 - (x div 2)) mod ((((x + 1) div 2) div 2) + 1)) div 2) + 1)
A125950: 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 3
((((x * x) - (((((2 + 2) * 2) * 2) * 2) - 1)) * 2) + 1)
A276471: ~61 ~59 ~53 ~43 ~29 ~11 11 37 67 101 139 181 227 277 331 389
((x mod (((((x + 1) mod ((2 + 2) * 2)) + 2) + 1) * 2)) + 1)
A038387: 1 2 3 4 5 6 7 2 1 10 11 12 13 14 15 4
(((x div (((2 - (x mod ((2 + 2) * 2))) * 2) + 1)) mod 2) + 1)
A194823: 1 1 1 2 1 2 2 2 2 2 1 2 1 2 1 1
((((2 - x) mod ((((x mod (2 + 2)) + 2) * 2) + 1)) mod 2) + 1)
A293838: 1 2 1 1 2 1 2 1 1 1 2 1 1 2 1 2
(((x mod (0 - ((((x mod (2 + 2)) * 2) * 2) + 1))) mod 2) + 1)
A198254: 1 1 2 1 1 1 2 1 1 2 1 1 1 1 1 2
(((((x - (((2 - (x div 2)) div 2) div 2)) * 2) + 1) * 2) + 1)
A039957: 3 7 11 15 19 23 31 35 39 43 47 51 55 59 67 71
((((1 - x) mod ((((x - 1) mod (2 + 2)) * 2) - 1)) div 2) + 1)
A335234: 1 1 1 1 2 1 1 1 2 1 1 2 3 1 1 1
(x - ((((x mod (2 + 2)) - (((2 + 2) * 2) + 1)) * 2) - 1))
A004460: 19 18 17 16 23 22 21 20 27 26 25 24 31 30 29 28
(2 div (((((1 - x) * 2) mod (((2 + 2) * 2) + 1)) div 2) + 1))
A308183: 1 2 0 0 1 2 0 0 0 1 2 0 0 1 2 0
(x - (1 div ((((x + 2) mod (((2 + 2) * 2) + 1)) * 2) - 1)))
A222252-A154454-A154453-A131173-A130986-A130985-A130372-A130371-A122312-A122311-A089866-A089865-A089854-A073287-A073286: 0 1 2 3 4 5 6 8 7 9 10 11 12 13 14 15
(((x + 1) div 2) - (((x mod (((2 + 2) * 2) + 1)) mod 2) - 1))
A026261: 1 1 2 2 3 3 4 4 5 6 5 7 6 8 7 9
(((((((x - 1) div 2) * x) div ((2 + 2) * 2)) + 1) div 2) + 1)
A018117: 1 1 1 1 1 2 2 2 3 3 4 4 5 6 6 8
((((x - 1) div 2) div (((x div ((2 + 2) * 2)) + 1) * 2)) + 1)
A251139: 0 1 1 1 1 2 2 2 1 2 2 2 2 2 2 2
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 2) + 1)
A133196: 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2) + 1)
A131507: 1 3 3 5 5 5 7 7 7 7 9 9 9 9 9 11
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) mod 2) + 1)
A201208: 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 2
(((((x - 2) * 2) div (((x div (2 + 2)) + 2) + 1)) + 2) + 1)
A198194-A126236: 1 2 3 3 4 4 5 5 5 5 6 6 6 6 7 7
(((((x - 2) * 2) div (((x div (2 + 2)) + 2) + 1)) mod 2) + 1)
A079882: 1 2 1 1 2 2 1 1 1 1 2 2 2 2 1 1
(x mod ((((x * x) mod (((x div (2 + 2)) * 2) + 1)) * 2) - 1))
A047754: 0 0 0 0 0 0 0 0 1 0 0 0 5 0 0 0
(((((x - 1) div 2) mod (((x mod (2 + 2)) * 2) + 1)) mod 2) + 1)
A345985: 1 1 1 2 1 1 1 2 1 2 1 2 1 1 2 1
(((((x * x) + 2) mod ((((x + 2) + 2) * 2) + 1)) mod 2) + 1)
A022303: 1 2 1 2 2 1 2 2 1 1 2 1 1 2 2 1
(((x mod ((((x - 2) mod ((x div 2) + 2)) div 2) + 1)) * 2) + 1)
A336850: 1 1 1 1 1 3 1 1 1 1 1 3 1 3 1 1
((((x div 2) div ((x mod (((x div 2) + 2) + 2)) + 1)) mod 2) + 1)
A138474: 1 1 1 1 1 1 1 2 1 1 1 2 1 2 2 2
((x + 2) div ((((x div (((x mod 2) + 2) + 2)) + 1) * 2) + 1))
A287170: 0 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1
(((x * x) mod (((((x - 1) div 2) mod (2 + 2)) + 1) * 2)) + 1)
A322354: 1 2 1 2 1 2 1 2 1 2 1 2 1 2 5 2
(((x + 1) mod ((x mod (((x + 2) mod (2 + 2)) + 1)) + 2)) - 1)
A084091: 0 1 0 0 1 ~1 0 1 0 0 0 ~1 0 1 0 0
((((((x * 2) * (x + 1)) + 1) div ((2 + 2) + 1)) * 2) + 1)
A211435: 1 3 5 11 17 25 35 45 59 73 89 107 125 147 169 193
(((x div (((x mod (2 + 2)) + 1) * ((2 + 2) + 1))) * 2) + 1)
A131268-A109221: 1 1 1 1 1 1 1 1 3 1 1 1 5 3 1 1
(((((x * x) - (x mod (2 + 1))) div ((2 + 2) + 1)) mod 2) + 1)
A323018: 1 1 1 2 2 1 2 2 1 1 2 2 1 2 1 2
(((((x - 2) mod ((x div 2) + 1)) mod ((2 + 2) + 1)) mod 2) + 1)
A003641: 1 1 1 2 1 1 1 2 2 1 1 2 2 1 1 1
((x * x) mod (((((x + 1) div 2) mod ((2 + 2) + 1)) * 2) - 1))
A086014: 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0
(((2 - (((2 div (x + 1)) - x) div ((2 + 2) + 1))) * 2) + 1)
A111186: 5 5 7 7 7 7 9 9 9 9 9 11 11 11 11 11
(((((x mod ((2 + 2) * 2)) + x) div ((2 + 2) + 1)) div 2) + 1)
A046799: 1 1 1 1 1 2 2 2 1 2 2 2 2 2 3 3
(((x - 1) * 2) mod ((((2 - x) mod ((2 + 2) + 1)) * 2) - 1))
A287647: 1 0 0 4 1 2 0 0 0
(((((x div (2 + 2)) + 1) * (x div ((2 + 2) + 1))) div 2) + 1)
A029104: 1 1 1 1 1 2 2 2 2 2 4 4 5 5 5 7
(x mod (((((2 + 1) * 2) - (x div ((2 + 2) + 1))) * 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A285093: 0 1 2 3 4 5 6 7 8 9 1 2 3 4 5 1
((((((x div 2) - 1) div 2) * (x div ((2 + 2) + 1))) div 2) + 1)
A046074: 1 1 1 1 1 1 1 1 1 1 3 3 3 3 4 5
(1 - (((2 - x) * 2) div (((x div ((2 + 2) + 1)) + 2) + 1)))
A293137: 0 1 1 2 3 3 3 4 4 5 5 5 5 6 6 6
((((x + 1) div 2) + 1) mod (((x div ((2 + 2) + 1)) * 2) - 1))
A034406: 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4
(((x div 2) + 1) div ((2 - ((x div ((2 + 2) + 1)) mod 2)) + 1))
A237975: 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 4
((((((x div 2) + x) * (x * x)) mod ((2 + 2) + 1)) div 2) + 1)
A157925: 1 1 2 1 1 1 3 1 2 2 1 1 2 1 1 1
((x - 1) div ((((x - 1) div ((x div (2 + 2)) + 1)) * 2) + 1))
A029355: 1 0 0 0 1 0 1 0 1 1 1 1 2 1 1 2
(((((x * 2) div (2 + 1)) mod ((x mod (2 + 2)) + 1)) mod 2) + 1)
A091243: 1 1 2 1 1 2 2 1 1 1 1 2 1 1 1 1
(x div (((((x div 2) + 2) div ((x mod (2 + 2)) + 1)) + 2) + 1))
A327193: 0 0 0 1 0 1 1 1 0 1 2 2 1 1 2 3
((((x + 2) - (((((x div 2) * x) div 2) mod 2) - 1)) * 2) + 1)
A000510: 7 9 9 11 15 15 17
(((x - (((x * x) div 2) div (((x div 2) + 2) + 1))) + 2) + 1)
A098200: 3 4 5 5 6 6 6 6 7 7 7 7 7 7 8 7
(((x mod ((((2 + 1) * x) mod ((x div 2) + 2)) + 1)) div 2) + 1)
A249095-A185155: 1 1 1 1 1 1 2 1 1 1 1 3 2 3 1 1
(x - (((x div 2) mod 2) - (((((x div 2) * 2) + 1) * 2) + 1)))
A285440: 3 4 8 9 15 16 20 21 27 28 32 33 39 40 44 45
(((((x div 2) + 1) mod (((2 - (x mod 2)) * 2) + 1)) mod 2) - 1)
A126564: 0 0 ~1 ~1 0 ~1 ~1 0 ~1 ~1 0 ~1 ~1 0 0 ~1
((x div (((x + 1) div (((2 - (x mod 2)) * 2) + 1)) + 2)) + 1)
A163374: 1 1 2 2 2 2 3 2 3 2 3 2 4 3 3 3
(x div (x - (1 - (x mod (((((x mod 2) * 2) + 1) * 2) + 1)))))
A288462: 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1
((((x mod (((2 + 2) * (2 + 1)) - 1)) mod (2 + 1)) mod 2) + 1)
A175409: 1 2 1 1 2 1 1 2 1 1 2 1 2 1 1 2
((((x div (((x div 2) div (2 + 1)) + 1)) mod (2 + 1)) div 2) + 1)
A306261: 1 1 2 1 1 2 1 1 1 1 2 2 1 1 1 2
(((((x * x) div (((x div 2) * 2) - 1)) mod (2 + 1)) mod 2) + 1)
A101873: 1 1 2 1 1 1 2 1 1 1 1 2 2 1 1 1
(((((x * x) - ((x - 1) div (2 + 1))) div (2 + 1)) mod 2) + 1)
A136690: 1 1 2 2 2 1 2 2 1 1 1 2 2 2 1 2
(((((x * x) - ((x div 2) div (2 + 1))) mod (2 + 1)) div 2) + 1)
A072699: 1 1 1 1 1 1 2 1 1 2 1 1 1 2 2 1
(((((((x mod 2) + 1) * x) div (2 + 1)) mod (2 + 1)) mod 2) + 1)
A003651: 1 1 1 1 2 1 1 2 1 1 1 2 2 1 2 2
((2 - (((((x - 1) * x) div (2 + 1)) mod (2 + 1)) div 2)) + 1)
A226895: 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3
((((((x * x) + 2) * ((x + 2) + 1)) div (2 + 1)) + 2) + 1)
A155757: 5 7 13 25 45 75 117 173 245 335 445 577 733 915 1125 1365
(((x + 1) * x) mod (((((x div 2) + 1) div (2 + 1)) * 2) + 1))
A108497: 0 0 0 0 2 0 0 2 0 0 0 2 1 2 0 0
(x - ((((x mod 2) - (((x div 2) - 1) mod (2 + 1))) * 2) + 1))
A279318: 3 2 1 0 5 4 9 8 7 6 11 10 15 14 13 12
((2 + 2) mod ((((x div 2) - ((x + 1) div (2 + 1))) * 2) + 1))
A035646: 0 0 0 0 1 0 1 1 1 1 4 1 4 4 4 4
((((x - ((x div ((2 + 2) + 1)) mod 2)) div (2 + 1)) * 2) + 1)
A156724: 1 1 1 3 3 3 3 5 5 5 7 7 9 9 9 9
(((x * x) div (x - ((((x - 1) div 2) div (2 + 1)) * 2))) + 1)
A032879-A032846: 1 2 3 4 5 6 7 10 11 12 13 14 15 19 20 21
((x div (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + 2)) + 1)
A336664: 1 1 2 2 2 2 2 2 3 2 2 2 2 2 3 2
(x - ((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) * 2) - 1))
A173523: 1 2 3 2 3 4 3 4 5 2 3 4 3 4 5 4
(x - ((((x + 1) mod (2 - ((2 + 2) * (2 + 1)))) * 2) - 1))
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(x - (1 div ((((x + 2) mod ((2 + 2) * (2 + 1))) * 2) - 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A162344-A127288-A127287: 0 1 2 3 4 5 6 7 8 9 11 10 12 13 14 15
((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) + 1)
A063787: 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 5
((((x * 2) * 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) + 1)
A316838: 1 5 9 13 16 20 24 28 30 34 38 42 45 49 53 57
((((((x - 1) * x) mod ((x + 2) + 2)) div (2 + 1)) mod 2) + 1)
A325028: 1 1 1 1 2 1 1 2 1 1 1 2 2 2 1 1
(((x - 1) * x) mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1))
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(((x - ((((x * x) * (x div 2)) div 2) div (2 + 1))) mod 2) + 1)
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(x - (((((((x div 2) mod 2) - x) div 2) * (2 + 1)) div 2) - 1))
A047313: 1 4 5 6 8 11 12 13 15 18 19 20 22 25 26 27
(((x + 2) - (x div (((1 - (x div 2)) div (2 + 1)) - 2))) + 1)
A175966: 3 5 6 8 9 10 11 13 14 15 16 17 18 20 21 22
(1 - (x mod ((x div (((1 - (x div 2)) div (2 + 1)) - 2)) - 1)))
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((x + 1) mod (((x div 2) - (((x div 2) div (2 + 1)) * 2)) + 1))
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(((((x * 2) - (x mod 2)) - ((x div 2) mod (2 + 1))) * 2) + 1)
A204085: 1 3 7 9 13 15 25 27 31 33 37 39 49 51 55 57
((x + 2) - ((1 - x) div ((((x div 2) mod (2 + 1)) + 2) + 1)))
A028729: 2 3 5 6 7 8 10 11 12 13 14 15
A028777-A028745: 2 3 5 6 7 8 10 11 12 13 14 15 18 19 20 21
((x - (x div (2 + 2))) mod ((((x div 2) mod (2 + 1)) mod 2) + 1))
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((x div ((2 + 2) + 1)) div (((x + 1) mod ((2 + 1) * 2)) + 1))
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(1 - (x mod ((((1 - x) * (x - 1)) mod ((2 + 1) * 2)) + 1)))
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((x - ((x div (1 - ((2 + 2) * 2))) - ((2 + 1) * 2))) + 1)
A043696-A043617-A031952: 7 9 10 11 12 13 14 15 17 18 19 20 21 22 23 25
(((((x * 2) + 1) * (x + 1)) + 1) div (((2 + 1) * 2) + 1))
A184977-A183143: 0 1 2 4 6 9 13 17 22 27 33 39 46 54 62 71
(((((x + 2) * x) + 1) * (2 + 1)) div (((2 + 1) * 2) + 1))
A194082: 0 1 3 6 10 15 21 27 34 42 51 61 72 84 96 109
((((x div 2) * (x - 2)) div (2 + 1)) div (((2 + 1) * 2) + 1))
A211524: 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4
(x - ((x - ((x * x) div (2 + 1))) div (((2 + 1) * 2) + 1)))
A062470: 0 1 2 3 5 6 7 9 10 12 14 16 18 20 22 24
((((((2 + 2) + 1) * x) * 2) + 1) * (((2 + 1) * 2) + 1))
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(((x * 2) * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1)))
A081840: 0 4 8 11 15 19 23 26 30 34 37 41 45 49 52 56
(((2 + 1) * x) - (((2 - x) + 1) div (((2 + 1) * 2) + 1)))
A022853: 0 3 6 9 13 16 19 22 25 28 31 35 38 41 44 47
((((2 + 1) * x) + 2) - ((x + 1) div (((2 + 1) * 2) + 1)))
A064718: 2 5 8 11 14 17 19 22 25 28 31 34 37 39 42 45
(2 - (x - ((x - (x div (0 - 2))) * (((2 + 1) * 2) + 1))))
A169597: 2 15 21 34 40 53 59 72 78 91 97 110 116 129 135 148
(((x + 1) * 2) - (((x + 1) * 2) div (((2 + 1) * 2) + 1)))
A080755: 2 4 6 7 9 11 12 14 16 18 19 21 23 24 26 28
(((((x - 2) * x) * (x - 1)) div 2) div (((2 + 1) * 2) + 1))
A011896: 0 0 0 0 1 4 8 15 24 36 51 70 94 122 156 195
(((((x + 2) * (x + 1)) + 2) * 2) div (((2 + 1) * 2) + 1))
A231408: 1 2 4 6 9
A022778: 1 2 4 6 9 12 16 21 26 32 38 45 52 60 69 78
(((((x + 2) * 2) + x) * (2 + 2)) div (((2 + 1) * 2) + 1))
A286667: 2 4 5 7 9 10 12 14 16 17 19 21 22 24 26 28
(((2 + 1) * x) - ((x - (2 + 2)) div (((2 + 1) * 2) + 1)))
A080734: 1 4 7 10 12 15 18 21 24 27 30 32 35 38 41 44
(((((x - 1) div 2) * (x + 2)) div 2) div (((2 + 1) * 2) + 1))
A333251: ~1 0 0 0 0 1 1 1 2 3 3 4 5 6 6 8
((((2 - x) + 2) mod ((x + 2) * 2)) div (((2 + 1) * 2) + 1))
A111894: 0 0 0 0 0 1 2 2 2 2 2 2 2 3 3 3
((((x - (2 + 1)) * (x - 2)) div 2) div (((2 + 1) * 2) + 1))
A174738: 0 0 0 0 0 0 0 1 2 3 4 5 6 7 9 11
(((2 + 1) * x) - (((x - 2) * 2) div (((2 + 1) * 2) + 1)))
A231407: 1 4 6
A054087: 1 4 6 9 12 15 17 20 23 25 28 31 34 36 39 42
(((((x * x) * (2 + 1)) - x) div 2) * (((2 + 1) * 2) + 1))
A152744: 0 7 35 84 154 245 357 490 644 819 1015 1232 1470 1729 2009 2310
(x - ((((x * x) * (1 - x)) div 2) * (((2 + 1) * 2) + 1)))
A329530: 0 1 16 66 172 355 636 1036 1576 2277 3160 4246 5556 7111 8932 11040
((((((x - 1) div 2) div 2) * x) div 2) div (((2 + 1) * 2) + 1))
A211535: 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3
(x - ((0 - 1) mod (x - ((x + 2) mod (((2 + 1) * 2) + 1)))))
A193042: 1 2 3 4 5 1 2 3 4 5 6 7 1 2 3 4
(((x div (((2 + 1) * 2) + 1)) + x) mod (((2 + 1) * 2) + 1))
A053842: 0 1 2 3 4 5 6 1 2 3 4 5 6 0 2 3
((((((x + 1) div 2) div 2) div 2) * x) div (((2 + 1) * 2) + 1))
A035684: 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 4
((((((x div 2) mod 2) + x) div 2) + x) + (((2 + 1) * 2) + 1))
A169876: 7 8 10 12 13 14 16
(((x + 2) * x) - (((x + 2) * x) div (((2 + 1) * 2) + 1)))
A298267: 0 3 7 13 21 30 42 54 69 85 103 123 144 168 192 219
((((x + 1) * 2) * (2 + 1)) - (x div (((2 + 1) * 2) + 1)))
A121827: 6 12 18 24 30 36 42 47 53 59 65 71 77 83 88 94
(((((2 + 1) * 2) + 1) * x) - (x div (((2 + 1) * 2) + 1)))
A004959: 0 7 14 21 28 35 42 48 55 62 69 76 83 90 96 103
((((x + 1) * x) div 2) - ((x * x) div (((2 + 1) * 2) + 1)))
A183139: 0 1 3 5 8 12 16 21 27 34 41 49 58 67 77 88
(0 - (1 div ((2 + 1) - ((x * x) mod (((2 + 1) * 2) + 1)))))
A234045: 0 0 1 ~1 ~1 1 0 0 0 1 ~1 ~1 1 0 0 0
((x div (2 + 1)) mod ((x mod (((1 - x) mod (2 + 1)) + 2)) + 1))
A174903-A091009: 0 0 0 0 0 1 0 0 0 0 0 3 0 0 1 0
((2 - (((((2 + 2) mod (x + 1)) + x) mod (2 + 1)) mod 2)) + 1)
A080428: 3 2 3 3 3 3 2 3 3 2 3 3 2 3 3 2
(((((((x mod 2) + x) * (2 + 2)) + x) * (2 + 1)) div 2) + 1)
A175887: 1 14 16 29 31 44 46 59 61 74 76 89 91 104 106 119
(((x * 2) - ((((x div (2 + 2)) + x) mod (2 + 1)) mod 2)) + 1)
A007069: 1 2 5 7 9 11 12 15 16 19 21 22 25 26 29 31
(((x - ((((2 - x) - (x * 2)) * x) * (2 + 1))) div 2) + 1)
A140064: 1 3 14 34 63 101 148 204 269 343 426 518 619 729 848 976
((((((x + 1) div (2 + 1)) + 1) * (x div (2 + 1))) div 2) + 1)
A029046: 1 1 1 2 2 2 4 4 5 7 7 8 11 11 13 16
((((((x mod (2 + 1)) * 2) * 2) + (x div (2 + 1))) * 2) + 1)
A190322: 1 9 17 3 11 19 5 13 21 7 15 23 9 17 25 11
((((x + 2) * x) div 2) mod ((x div ((x div (2 + 1)) + 2)) + 1))
A110475-A086971-A063962: 0 0 0 1 0 1 0 1 1 1 0 2 0 1 1 1
(((x div (2 + 1)) * x) mod ((x div ((x div (2 + 1)) + 2)) + 1))
A083339: 0 0 0 1 0 1 0 0 1 1 0 0 0 1 2 0
((((x div (((2 + 1) * 2) + 1)) - (x mod (2 + 1))) div 2) + 1)
A210705: 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 2
((x div ((x div (((x mod 2) + 2) + (x mod (2 + 1)))) + 2)) + 1)
A234287: 1 1 2 2 2 2 2 3 3 2 3 3 2 3 3 3
(((x div ((2 + 2) + 1)) + 1) div (((x mod (2 + 1)) * 2) + 1))
A303906: 1 0 0 1 0 0 2 0 0 2 1 0 3 1 0 4
(((((x div (2 + 1)) + x) * 2) - ((x mod (2 + 1)) div 2)) + 1)
A047459: 1 3 4 9 11 12 17 19 20 25 27 28 33 35 36 41
((x mod ((2 + 1) * 2)) mod (x - (((x mod (2 + 1)) mod 2) + 1)))
A257687: 0 0 0 1 0 1 0 1 2 3 4 5 0 1 2 3
(((x + 2) * x) - (((x - ((x * x) div (2 + 1))) div 2) - 1))
A022334: 1 4 9 16 26 38 52 69 88 109 133 159 187 218 251 286
(((x + 2) * 2) - ((x mod (((x * x) mod (2 + 1)) + 2)) + 1))
A190246: 3 4 5 8 10 11 15 16 17 20 22 23 27 28 29 32
((((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1) div 2) + 1)
A025764: 1 1 2 2 3 3 4 5 6 7 8 9 10 11 13 14
((x div ((x div ((2 - (((x div 2) * x) mod 2)) + 1)) + 2)) + 1)
A257071: 1 1 2 2 2 2 2 2 3 2 3 2 3 3 3 2
((((((x * x) * (x - 1)) div 2) * ((x + 2) + 1)) div 2) + 1)
A302650: 1 1 6 28 85 201 406 736 1233 1945 2926 4236 5941 8113 10830 14176
(((((x * x) div ((x mod 2) + 2)) mod ((x + 2) + 1)) mod 2) + 1)
A204909: 1 1 1 2 2 1 1 1 1 2 2 1 1 1 2 2
((((((x div 2) * x) * (x - 2)) div ((x + 2) + 1)) mod 2) + 1)
A214973: 1 1 1 1 1 2 1 1 2 2 1 2 1 2 2 2
(((((x + 2) * 2) + 1) * x) * ((((x + 2) + 1) * 2) + 1))
A035329: 0 63 198 429 780 1275 1938 2793 3864 5175 6750 8613 10788 13299 16170 19425
((((x - 2) div ((2 + 2) + 1)) mod (((x * 2) + 1) * 2)) + 1)
A127508: 2 6 1 1 1 1 1 2 2 2 2 2 3 3 3 3
(((((((x mod 2) + 1) * 2) + 1) mod ((x div 2) + 1)) div 2) + 1)
A260311: 1 1 1 1 1 2 2 1 2 1 2 3 2 3 2 3
((((((x * x) - (x div 2)) - 1) * ((x div 2) + 1)) div 2) + 1)
A224421: 0 1 3 8 20 34
((x + 2) mod (((((2 - x) * 2) mod ((x div 2) + 1)) * 2) - 1))
A178109-A178105: 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 6
(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1)
A330190-A323211-A300119-A204026-A144434-A110537-A087062-A003983: 1 1 1 1 2 1 1 2 2 1 1 2 3 2 1 1
((((x div ((2 + 2) * 2)) + x) + (((x div 2) + 1) * 2)) + 1)
A188259: 3 4 7 8 11 12 15 16 20 21 24 25 28 29 32 33
(((((x - (x mod (2 + 1))) * x) mod ((x div 2) + 1)) div 2) + 1)
A259575-A245558-A193596-A176298-A172281-A169623-A091325-A011847: 1 1 1 1 1 1 1 2 2 1 1 2 3 2 1 1
((x + 1) mod (((((1 - x) * x) mod ((x div 2) + 1)) div 2) + 1))
A037875-A037857: 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1 0
(x div (((x + 2) div ((x mod ((2 - (x mod 2)) + 1)) + 2)) + 1))
A297031: 0 0 1 1 1 1 1 1 2 2 2 2 1 2 2 2
((1 - x) mod ((((x div 2) + 1) mod (((x mod 2) + 1) * 2)) + 1))
A258772: 1 0 0 1 1 0 0 0 1 0 0 2 1 0 0 0
(1 - ((x mod 2) - ((x div 2) div ((((x mod 2) + 1) * 2) + 1))))
A025815: 1 0 1 0 1 0 2 0 2 0 2 1 3 1 3 1
((((x + 2) * 2) + 1) div ((x mod (((x mod 2) + 1) * 2)) + 1))
A059031: 5 3 9 2 13 7 17 4 21 11 25 6 29 15 33 8
(((x + 1) * (2 + 1)) div ((x mod (((x mod 2) + 1) * 2)) + 1))
A068219: 3 3 9 3 15 9 21 6 27 15 33 9 39 21 45 12
((x div 2) - ((x div 2) mod ((x mod (((x mod 2) + 1) * 2)) + 1)))
A079626: 0 0 1 0 2 2 3 0 4 4 5 4 6 6 7 4
((((((((2 + 2) * 2) * 2) + (x * x)) * 2) + 1) * 2) + 1)
A295803: 67 71 83
(((((x div 2) + x) mod (((x div (2 + 1)) + x) + 1)) div 2) + 1)
A030577: 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1
(((((x - ((x mod ((0 - 2) - 1)) * 2)) * x) + 1) * 2) + 1)
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(((((x * 2) div ((x div (2 + 2)) + 1)) mod (x + 1)) mod 2) + 1)
A250005: 1 1 2 1 1 2 1 2 2 1 1 2 1 1 2 2
(((x - (((x * x) mod ((x + 2) + 1)) div (x + 1))) div 2) + 1)
A316388: 1 1 1 2 3 3 4 4 4 5 6 6 7 7 8 8
(x div ((((((2 - (x mod 2)) * 2) * 2) mod (x + 1)) + 2) + 1))
A139354: 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 2
(((x - ((((x div (2 + 1)) * x) + 2) div (x + 1))) mod 2) + 1)
A086669: 1 1 1 1 2 1 1 2 1 2 1 2 2 1 2 2
((((x + 1) mod (2 - (((2 - x) * 2) div (x + 1)))) div 2) + 1)
A072047: 0 1 1 1 2 1 2 1 1 2 2 1 1 2 2 1
(((x - ((1 - (((x div 2) * x) div 2)) div (x + 1))) mod 2) + 1)
A087889: 2 2 1 2 2 1 1 2 1 2 2 1 2 1 1 2
((((((x - 1) * x) div 2) div (2 + 1)) + ((x + 1) * 2)) + 1)
A089108: 3 5 7 10 13 16 20 24 28 33 38 43 49 55 61 68
((((x - ((2 - x) div (2 + 2))) div 2) + ((x + 1) * 2)) + 1)
A026274: 3 5 8 11 13 16 18 21 24 26 29 32 34 37 39 42
(((((x div 2) - (x mod (2 + 2))) div 2) + ((x + 1) * 2)) + 1)
A167711: 3 4 6 8 12 13 15 17 21 22 24 26 30 31 33 35
(((2 mod ((x mod (2 + 1)) + 1)) + 1) * (((x + 1) * 2) + 1))
A103991: 3 5 21 9 11 39 15 17 57 21 23 75 27 29 93 33
(((((x + 2) * 2) * 2) * (x + 1)) * (((x + 1) * 2) + 1))
A069074: 24 120 336 720 1320 2184 3360 4896 6840 9240 12144 15600 19656 24360 29760 35904
(((x div (2 - (x mod 2))) * (x + 2)) * (((x + 1) * 2) + 1))
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(((((2 + 2) * 2) + x) * (x * 2)) div (((x + 1) * 2) + 1))
A212294: 0 3 5 7 8 10 11 12 13 14 15 16 17 18 19 20
(((((x mod ((2 + 2) * 2)) * 2) - x) mod ((x + 1) * 2)) + 1)
A298434-A008815: 1 2 3 4 5 6 7 8 11 14 17 20 23 26 29 32
((((((x mod 2) + 2) + 2) + 1) * 2) div (((x + 1) div 2) + 1))
A102690: 10 6 5 4 3 3 2 2 2 2 1 1 1 1 1 1
(((((((2 + 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2) + 1)
A069126: 1 14 40 79 131 196 274 365 469 586 716 859 1015 1184 1366 1561
(((((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1)) div 2) + 1)
A069125: 1 12 34 67 111 166 232 309 397 496 606 727 859 1002 1156 1321
((((((((2 + 2) * 2) * 2) + 1) * x) * (x + 1)) div 2) + 1)
A069130: 1 18 52 103 171 256 358 477 613 766 936 1123 1327 1548 1786 2041
(((((((2 + 2) * 2) * (x + 1)) + x) * (x + 1)) div 2) - 1)
A081270: 3 16 38 69 109 158 216 283 359 444 538 641 753 874 1004 1143
((((((((x * 2) + 1) * 2) * 2) + x) * (x + 1)) div 2) + 1)
A081269-A064226: 3 14 34 63 101 148 204 269 343 426 518 619 729 848 976 1113
((((((((x * 2) + 1) * 2) * 2) + x) * (x + 1)) div 2) - 1)
A081268: 1 12 32 61 99 146 202 267 341 424 516 617 727 846 974 1111
((((((((x * 2) + 1) * 2) * 2) - x) * (x + 1)) div 2) - 1)
A198017: 1 10 26 49 79 116 160 211 269 334 406 485 571 664 764 871
((((x - 2) mod (2 - ((x div (2 + 2)) div (0 - 2)))) div 2) + 1)
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(x - ((((2 + 2) * 2) * (x + 1)) div (((0 - 2) - 2) - 1)))
A206807-A182773: 2 5 7 10 12 15 18 20 23 25 28 31 33 36 38 41
(x - ((((x + 2) * (x + 1)) div 2) div (((0 - 2) - 2) - 1)))
A186386: 1 2 4 5 7 10 12 15 17 20 24 27 31 34 38 43
((0 - (x div ((2 + 2) + 1))) * (x div (((0 - 2) - 2) - 1)))
A008363: 0 0 0 0 0 1 2 2 2 2 4 6 6 6 6 9
((1 - x) mod (((x * x) mod (1 - (x div ((0 - 2) - 2)))) + 1))
A036872-A036871: 0 0 0 0 0 0 0 0 1 0 0 0 0 3 1 0
(((x div 2) - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) + 1)
A255338: 0 1 2 3 4 4 5 6 7 7 8 8 9 9 10 11
(x - ((((((x div 2) div (2 + 1)) + x) div (0 - 2)) * 2) - 1))
A188085: 1 4 5 8 9 12 15 16 19 20 23 24 27 30 31 34
(x - (((((x div ((2 + 2) * 2)) + x) div (0 - 2)) * 2) - 1))
A321333: 1 4 5 8 9 12 13 16 19 20 23 24 27 28 31 32
((((x + 1) div (2 + 1)) - (x div ((x div (0 - 2)) - 2))) + 1)
A196369: 1 2 3 3 3 4 5 5 6 6 6 7 7 7 8 8
(x - (((x + 1) mod (1 - (x div ((x div (0 - 2)) - 2)))) - 1))
A220662: 1 2 2 4 4 6 6 6 9 9 9 12 12 12 15 15
((((((x mod (2 + 1)) * ((2 + 2) + 1)) + 1) div 2) * 2) + 1)
A070421: 1 7 11 1 7 11 1 7 11 1 7 11 1 7 11 1
((x mod ((((x mod ((x div (2 + 2)) + 1)) + 1) * 2) * 2)) + 1)
A065338: 1 2 3 4 1 6 3 8 9 2 3 12 1 6 3 16
(((((x - 1) mod (((x div 2) div (2 + 1)) + 1)) mod 2) * 2) + 1)
A277109: 1 1 1 1 1 1 3 1 3 1 3 1 1 1 3 1
(((((2 - (x * x)) mod ((x div (2 + 1)) + 1)) div 2) mod 2) + 1)
A072085: 1 1 1 1 1 1 2 1 1 1 2 1 2 2 1 1
(((((2 + 2) div (((2 + 2) div (x + 1)) + 1)) + 2) * 2) - 1)
A180496: 3 5 7 7 11 11 11 11 11 11 11 11 11 11 11 11
(((((x - 2) mod (2 - (x div ((0 - 2) - 1)))) mod 2) * 2) + 1)
A225212: 1 1 1 3 1 3 1 1 3 1 1 3 1 1 3 1
((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * 2) + 1)
A293669: 1 1 1 1 1 1 1 1 3 1 1 1 3 7 1 1
((((((x * x) * 2) mod (((x + 1) div 2) + 1)) mod 2) * 2) + 1)
A319861-A242849: 1 1 1 1 1 1 1 3 3 1 1 1 3 1 1 1
((((x mod ((((x div 2) div (0 - 2)) div 2) - 1)) mod 2) * 2) + 1)
A066056: 1 1 1 3 1 3 1 3 1 3 1 3 1 1 3 1
(((x - (x div (((x div ((0 - 2) - 2)) - 1) div 2))) div 2) + 1)
A270432: 1 2 3 4 5 5 5 6 7 8 8 9 10 10 10 11
((((((x * 2) * 2) mod (((2 + 2) * 2) + 1)) div 2) div 2) + 1)
A322423: 1 2 3 1 2 1 2 1 2 1 2 3 1 2 1 2
((((x mod ((x mod ((x div (2 + 2)) + 2)) + 1)) div 2) * 2) + 1)
A322361-A318668: 1 1 1 1 1 3 1 1 1 1 1 3 1 1 5 1
(((((1 - (x div (2 + 1))) mod ((2 + 2) + 1)) mod 2) * 2) - 1)
A292117: 1 1 1 ~1 ~1 ~1 ~1 ~1 ~1 1 1 1 ~1 ~1 ~1 1
(x div ((x div ((((x - 2) mod ((2 + 2) + 1)) mod 2) + 2)) + 1))
A268318: 0 1 1 1 1 2 1 1 2 1 2 1 1 2 1 2
((x * 2) div (((((x div 2) div ((2 + 2) + 1)) + 2) * 2) + 1))
A257177: 0 0 0 1 1 2 2 2 3 3 2 3 3 3 4 4
((((x + 2) mod (((x div 2) mod ((2 + 2) + 1)) + 2)) mod 2) + 1)
A286944: 1 2 2 1 1 2 2 1 1 2 1 2 1 1 1 2
(x - (1 div ((((x + 2) mod (((2 + 2) + 1) * 2)) * 2) - 1)))
A084689: 0 1 2 3 4 5 6 7 9
A235489-A222254: 0 1 2 3 4 5 6 7 9 8 10 11 12 13 14 15
(1 - (((x * 2) + 1) mod (((((2 + 2) + 1) * 2) * 2) + 1)))
A076309: 0 ~2 ~4 ~6 ~8 ~10 ~12 ~14 ~16 ~18 1 ~1 ~3 ~5 ~7 ~9
(((x * x) * (x * x)) mod (((((2 + 2) + 1) * 2) * 2) + 1))
A070540: 0 1 16 18 4 16 15 7 1 9 4 4 9 1 7 15
(x - ((((x - ((0 - x) mod ((2 + 2) + 1))) div 2) div 2) - 1))
A196379: 1 3 4 4 5 5 7 7 8 8 9 11 11 12 12 13
(((x div 2) - ((((1 - x) div ((2 + 2) + 1)) mod 2) * 2)) + 1)
A083038: 1 1 0 0 1 1 2 4 5 5 6 6 5 5 6 6
(((x - ((x * 2) div ((x div ((2 + 2) + 1)) + 2))) div 2) + 1)
A025780: 1 1 1 1 1 2 2 2 2 2 3 4 4 4 4 5
((((2 - (((2 - x) * x) div ((2 + 2) + 1))) div 2) div 2) + 1)
A035382: 1 1 1 1 2 2 2 3 4 4 5 6 7 8 10 11
(((((((x div (2 + 1)) * x) div (2 + 2)) + 1) div 2) mod 2) + 1)
A030616: 1 1 1 1 2 2 1 1 1 2 1 1 1 2 2 2
((x + 2) div ((((x mod ((x div (2 + 2)) + 1)) div 2) + 2) + 1))
A289437: 0 1 1 1 2 2 2 3 2 3 4 3 4 5 4 4
((((((x * x) * x) mod (((x + 2) + 2) + 1)) div 2) mod 2) + 1)
A129765: 1 1 1 2 1 1 2 2 1 1 2 2 2 1 1 2
((((((x * x) * x) mod (((x + 2) * 2) + 1)) div 2) div 2) + 1)
A057038: 1 1 3 2 4 2 4 1 3 5 1 3 5 7 2 4
(((x - (((((x div 2) - (x * 2)) * 2) - 1) * 2)) * 2) + 1)
A231002: 5 23 33 51 61 79 89 107 117 135 145 163 173 191 201 219
((x div ((((x - 1) mod (((x mod 2) + 2) + 1)) + 2) + 2)) + 1)
A025422: 1 1 1 1 2 2 2 2 2 3 3 2 3 4 3 3
(x mod (((((x div 2) - ((x - 1) mod (2 + 1))) div 2) * 2) + 1))
A325201: 0 0 0 0 1 0 0 1 2 0 0 1 2 6 0 0
((((1 - x) div ((((x + 1) div 2) div (2 + 1)) + 2)) mod 2) + 1)
A101615: 1 1 2 2 1 1 1 1 2 2 2 2 2 2 1 1
((x div (((((2 - x) div (2 + 2)) mod (2 + 1)) + 2) + 2)) + 1)
A087866: 1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 3
((x div ((((((x + 2) * x) div 2) mod (2 + 1)) + 2) + 2)) + 1)
A160089-A086376: 1 1 1 1 2 1 2 2 2 2 3 2 4 3 3 4
(((x + 2) * 2) div (((((x div 2) div (2 + 1)) + 2) + 2) + 1))
A068063: 0 1 1 2 2 2 2 3 3 3 4 4 4 4 4 4
(x - ((((x - (((x * x) div 2) div (2 + 1))) div 2) div 2) - 1))
A082463: 1 2 3 4 5 6 7 9 10
A193838: 1 2 3 4 5 6 7 9 10 11 13 15 16
((((x div 2) + 1) div 2) div (((x mod ((2 + 1) * 2)) * 2) + 1))
A028833: 0 0 0 0 0 0 2 0 0 0 0 0 3 1 0 0
(((((((x div 2) div (2 + 1)) + x) * (2 + 1)) div 2) * 2) + 1)
A258011: 1 3 7 9 13 15 21 25 27 31 33 37 43 45 49 51
(((x mod ((((x div (2 + 1)) + x) mod (2 + 1)) + 2)) div 2) + 1)
A133162: 1 1 2 1 1 1 2 1 2 1 1 2 1 1 1 2
((((x div (2 + 1)) mod (((1 - x) mod (2 + 1)) + 2)) div 2) + 1)
A175244: 1 1 1 1 1 1 2 1 2 1 1 2 1 1 1 2
(((((x - 1) * x) div (((1 - x) mod (2 + 1)) + 2)) mod 2) + 1)
A026517: 1 1 1 1 1 2 1 2 1 1 2 2 1 1 2 1
(((x mod (x - ((x - ((1 - x) mod (2 + 1))) div 2))) mod 2) + 1)
A094781: 1 1 1 2 1 2 1 2 2 1 1 1 2 1 1 2
((((x - (((x mod (2 + 2)) - x) * (2 + 1))) * 2) * 2) + 1)
A146135: 1 5 9 13 65 69 73 77 129 133 137 141 193 197 201 205
((((x - (x div (0 - 2))) mod ((x div (2 + 1)) + 2)) div 2) + 1)
A327925: 1 1 1 2 1 2 1 2 1 3 1 2 1 2 2 2
((((x div 2) + x) div ((x div ((x div (2 + 1)) + 2)) + 2)) + 1)
A090501: 1 1 2 2 3 3 4 4 4 5 4 5 5 5 6 6
(((x mod 2) - ((1 - x) div (((x mod (2 + 1)) div 2) + 2))) + 1)
A290323: 1 2 2 3 3 4 4 5 4 6 6 6 7 8 6 9
((((((((x + 2) * 2) + x) * x) + (2 + 1)) * 2) * 2) + 1)
A167585: 13 41 93 169 269 393 541 713 909 1129 1373 1641 1933 2249 2589 2953
((((((((x div 2) div (2 + 1)) * x) div 2) - 1) div 2) div 2) + 1)
A081228: 0 0 0 0 0 0 1 1 1 1 2 2 3 4 4 4
((((x - (((((x div 2) mod 2) - x) div 2) - 1)) * 2) * 2) + 1)
A213340: 5 13 17 21 29 37 41 45 53 61 65 69 77 85 89 93
(((((((x div (2 + 1)) * (2 - x)) div 2) + 1) div 2) mod 2) + 1)
A106495: 1 1 1 1 1 2 1 1 2 2 1 2 1 2 1 1
(((((2 - (x div (2 + 1))) mod ((x + 2) + 1)) div 2) div 2) + 1)
A064042: 1 1 1 1 1 1 1 1 1 3 4 4 4 4 4 4
((((((x div (2 + 2)) + 1) * ((x div 2) + 1)) div 2) div 2) + 1)
A008719: 1 1 1 1 2 2 3 3 4 4 5 5 8 8 9 9
(x div ((((((x - 1) * 2) mod ((x div 2) + 1)) + 2) * 2) + 1))
A268372: 0 0 0 0 0 0 0 1 0 1 2 1 1 1 1 1
((x div (((((2 + 2) * 2) mod ((x div 2) + 1)) + 2) + 2)) + 1)
A086394-A053278: 1 1 1 1 1 1 2 2 2 2 2 2 3 3 4 4
(2 - ((1 - (x div 2)) div (((((x div 2) + 1) div 2) div 2) + 1)))
A331852: 1 1 2 2 3 3 3 3 4 4 4 4 5 5 4 4
(x - ((((((x div ((2 + 2) * 2)) - x) - 1) div 2) * 2) - 1))
A327221: 3 4 7 8 11 12 15 16 17 20 21 24 25 28 29 32
(((x * 2) - (((((x div (2 + 2)) + x) + 1) div 2) div 2)) + 1)
A138235: 1 3 5 6 8 10 11 13 15 16 18 20 21 23 25 27
(((((((x mod (2 + 1)) - 1) * 2) mod (x + 1)) div 2) mod 2) + 1)
A088569: 1 1 2 2 1 2 1 1 2 1 1 2 2 1 2 2
((((x * x) div ((((2 + 1) * 2) mod (x + 1)) + 2)) mod 2) + 1)
A329041-A178085: 1 1 1 1 2 1 1 1 1 1 1 2 1 2 1 1
((((x - ((x div 2) - ((2 + 2) * (x + 1)))) * 2) * 2) + 1)
A339531: 17 37 53 73 89 109 125 145 161 181 197 217 233 253 269 289
(((((((x mod 2) * 2) - (x div 2)) mod (x + 1)) div 2) mod 2) + 1)
A022300: 1 1 2 1 2 1 1 2 1 1 2 1 2 2 1 2
(((x div ((x mod 2) + 1)) + 2) mod ((((x + 1) div 2) div 2) + 1))
A281449: 0 0 0 1 0 0 0 2 1 0 0 3 2 0 0 4
((x * x) - (((((x div 2) + x) * ((x - 1) div 2)) div 2) - 1))
A111711: 1 2 5 8 14 19 28 35 47 56 71 82 100 113 134 149
(((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2) + 1)
A325167: 1 1 1 1 1 2 1 1 2 2 1 2 1 2 3 1
(((1 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) * 2) + 1)
A129972: 1 3 3 5 5 5 5 7 7 7 7 7 7 7 7 9
((2 - (((x + 2) div (2 - (x mod ((0 - 2) - 2)))) mod 2)) + 1)
A111497: 2 3 2 2 2 2 3 2 2 3 2 3 2 2 3 2
(x div (((x - (x div (2 - (x mod ((0 - 2) - 2))))) div 2) + 1))
A055718: 0 1 1 1 2 1 2 2 2 1 2 2 3 2 2 2
((((((((x * x) div 2) div (2 + 1)) - 1) div 2) div 2) div 2) + 1)
A071824: 0 0 0 1 1 1 1 1 2 2 2 3 3 4 4 5
((((((1 - x) mod ((x div (2 + 1)) + 1)) mod 2) + 2) * 2) + 1)
A105444: 5 5 5 5 7 5 7 5 5 5 7 5 5 7 5 5
((((((((x div 2) * (x + 1)) div 2) - 1) div 2) div 2) mod 2) + 1)
A275885: 2 2 1 1 2 2 1 1 1 1 1 2 2 1 1 2
(((((((x div 2) + x) mod ((2 + 2) + 1)) div 2) mod 2) + 2) + 1)
A080038: 3 3 4 3 3 4 3 3 4 4 3 3 4 3 3 4
(x div (((((2 - (x div ((2 + 2) + 1))) + 2) * 2) * 2) - 1))
A035585: 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 5
((((((x * x) mod (((x - 2) * 2) - 1)) mod 2) * 2) * 2) + 1)
A056957: 1 1 1 1 5 1 5 1 5 5 1 1 5 5 1 1
(((((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) * 2) - 1)
A034947: 1 1 ~1 1 1 ~1 ~1 1 1 1 ~1 ~1 1 ~1 ~1 1
((((x - ((x div 2) - (x mod ((2 + 1) * 2)))) div 2) mod 2) + 1)
A026607: 1 2 2 1 2 1 2 1 2 1 1 2 2 1 1 2
(0 - ((1 - x) div ((((x mod ((2 + 1) * 2)) + 2) * 2) + 1)))
A067438: 0 0 1 1 1 1 1 1 1 1 1 1 3 2 2 2
(((((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) * 2) * 2) + 1)
A089608: 1 5 1 1 1 5 1 5 1 5 1 1 1 5 1 1
((((x - ((x - 2) mod ((x div (2 + 1)) + 2))) div 2) mod 2) + 1)
A136754: 1 1 2 2 2 1 2 2 2 2 2 2 1 1 2 1
(x div (((((x * 2) mod ((x div (2 + 1)) + 2)) + 2) + 2) + 1))
A269329: 0 0 0 0 0 0 1 1 1 1 2 1 2 1 1 2
((((((x - 1) div 2) mod ((x mod (2 + 1)) + 2)) div 2) + 2) + 1)
A176873: 3 3 3 3 3 4 3 3 4 3 3 3 3 3 4 3
(((x - ((x + 2) div (((x mod (2 + 1)) + 2) + 2))) mod 2) + 1)
A143589: 1 2 1 1 2 1 1 1 2 2 1 2 2 1 1 2
((x * 2) div ((((x div ((x mod (2 + 1)) + 2)) + 2) + 2) + 1))
A061357: 0 0 0 1 1 1 1 2 2 2 2 3 2 2 3 2
((((x * 2) mod ((((x * x) mod (2 + 1)) + 2) + 2)) mod 2) + 1)
A238747: 1 1 1 1 2 1 1 1 2 1 1 1 1 2 2 1
(((((x - (x div (2 + 1))) * ((x + 1) div 2)) + 2) + 2) + 1)
A229231: 5 6 7 9 11 17
((2 - (((2 - x) * 2) div ((((x + 1) div 2) div 2) + 2))) + 1)
A319412: 1 2 3 4 5 5 6 6 6 7 7 7 7 8 8 8
((((2 + 2) * (x + 1)) - ((((x + 1) div 2) div 2) div 2)) - 1)
A246171: 3 7 11 15 19 23 27 30 34 38 42 46 50 54 58 61
(((x div (2 + 2)) - 1) mod (((((x + 1) div 2) div 2) div 2) + 1))
A079684: 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 2
((((x - (((x div (0 - 2)) * (x - 1)) div 2)) div 2) div 2) + 1)
A109968: 1 1 1 2 2 3 4 5 6 8 9 11 12 14 16 18
((((x + 2) * x) div 2) mod (((((x - 1) div 2) mod 2) * 2) + 1))
A336107-A081212-A056674: 0 0 0 1 0 0 0 1 1 0 0 2 0 0 0 1
(2 - (x - (((((x - (x div (0 - 2))) * 2) * 2) * 2) + 1)))
A306279: 3 18 25 40 47 62 69 84 91 106 113 128 135 150 157 172
((((((x - (x div ((0 - 2) - 2))) div 2) div 2) mod 2) + 2) + 1)
A071942: 3 3 3 4 4 4 3 3 3 4 4 4 4 3 3 3
((((x mod (((1 - x) mod ((2 + 2) * 2)) + 2)) div 2) div 2) + 1)
A296978: 1 1 1 1 2 2 1 1 1 1 1 1 2 1 2 1
(x - ((((x mod (((x div (2 + 2)) mod 2) + 2)) div 2) * 2) - 1))
A075054: 1 2 3 4 5 4 7 8 9 10 11 12 13 14 13 16
(((((x div 2) - (((x div (2 + 2)) mod 2) * 2)) + 2) * 2) + 1)
A244587: 5 5 7 7 5 5 7 7 13 13 15 15 13 13 15 15
(x div (((((x mod (((x div 2) mod 2) + 2)) + 2) * 2) * 2) - 1))
A035669: 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 2
(((x + 2) * x) - ((((1 - ((2 + 2) * 2)) * 2) * 2) - 1))
A261521: 29 32 37 44 53 64 77 92 109 128 149 172 197 224 253 284
((((x - ((x * x) div (1 - ((2 + 2) * 2)))) div 2) div 2) + 1)
A097923-A008672: 1 1 1 2 2 3 4 4 5 6 7 8 9 10 11 13
(((x * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070576: 0 1 16 15 25 31 9 25 4 27 1 22 12 16 4 3
(((x * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070574: 0 1 16 19 8 5 25 14 4 20 18 9 28 10 7 2
((((((x * 2) * 2) - (x div ((2 + 2) * 2))) + 2) * 2) + 1)
A251537: 5 13 21 29 37 45 53 61 67 75 83 91 99 107 115 123
(x div ((x div ((((x * x) div ((2 + 2) * 2)) mod 2) + 2)) + 1))
A088323: 0 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1
(x - ((((x - ((x * x) div ((2 + 2) * 2))) div 2) div 2) - 1))
A002244: 1 2 3 4 5 6 7 8 9 11 12 13 15 16 18 20
((x div ((((x - 2) mod ((x div (2 + 2)) + 2)) + 2) + 2)) + 1)
A238457: 1 1 1 1 1 2 2 2 2 2 3 3 4 3 3 3
(x - (((1 - x) div ((((x div (2 + 2)) mod 2) + 2) + 2)) - 1))
A287183: 1 2 4 5 6 7 8 10 11 12 14 15 16 17 18 19
(x div ((((x + 2) mod ((((x div 2) mod 2) + 2) + 2)) + 2) + 1))
A243164: 0 0 0 1 0 0 1 1 1 1 2 1 2 2 3 3
((x mod (((2 - ((x mod ((x mod 2) + 2)) div 2)) + 2) + 2)) + 1)
A277544: 1 2 3 4 5 1 1 2 3 4 5 2 1 2 3 4
(((x - ((0 - (((x div 2) + 1) mod (2 + 2))) div 2)) div 2) + 1)
A340619: 1 2 2 3 4 4 4 4 5 6 6 7 8 8 8 8
((((x + 2) mod ((((x div 2) + 1) mod (2 + 2)) + 2)) div 2) + 1)
A078470: 2 1 1 1 1 2 1 1 1 2 1 1 3 1 1 1
((x * x) div ((((x - ((x div 2) mod (2 + 2))) + 2) * 2) + 1))
A194235: 0 0 0 1 1 2 3 3 3 3 4 4 5 6 7 7
(((x - (((x + 2) * x) div (1 - ((2 + 2) * 2)))) div 2) + 1)
A008725: 1 2 3 4 5 6 7 9 11 13 15 17 19 21 24 27
((((x - (((x div 2) mod 2) * 2)) mod ((2 + 2) * 2)) * 2) + 1)
A088442: 1 3 1 3 9 11 9 11 1 3 1 3 9 11 9 11
(x - (((x div 2) div (((x div 2) - ((2 + 2) * 2)) - 2)) - 1))
A026503: 1 2 4 5 6 7 8 9 10 11 12 13 15 16 18 19
(((((x * 2) * 2) * 2) + 1) * ((((2 + 2) * 2) * 2) + 1))
A139617: 17 153 289 425 561 697 833 969 1105 1241 1377 1513 1649 1785 1921 2057
((((x - 2) * x) * (x - 1)) div ((((2 + 2) * 2) * 2) + 1))
A011899: 0 0 0 0 1 3 7 12 19 29 42 58 77 100 128 160
(1 - ((((2 - x) * x) + 1) div ((((2 + 2) * 2) * 2) + 1)))
A018049: 1 1 1 2 2 2 3 3 4 5 6 7 8 10 11 13
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * 2) + 1))
A070601: 0 1 15 5 4 14 7 11 9 8 6 10 3 13 12 2
((((x - 2) * x) * (x - 1)) div ((((2 + 2) * 2) * 2) - 1))
A011897: 0 0 0 0 1 4 8 14 22 33 48 66 88 114 145 182
(((((x div 2) + 1) div 2) * x) div ((((2 + 2) * 2) * 2) - 1))
A269850: 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 4
(x - (((2 - ((x div 2) * x)) div (((2 + 2) * 2) * 2)) - 1))
A137620: 1 2 3 5 6 7 8 10 11 13 14 16 18 19 21 23
((((x + 2) + 2) div (2 - (x - (((2 + 2) * 2) * 2)))) + 1)
A275882: 1 1 1 1 1 1 1 2 2 2 2 3 3 4 5 7
((x div (2 + 1)) - ((((2 - x) div ((2 + 2) * 2)) mod 2) - 1))
A029114: 1 1 1 1 1 1 2 2 2 3 3 4 5 5 5 6
((((x div 2) - 1) div 2) div (((x mod ((2 + 2) * 2)) * 2) - 1))
A279484: 1 ~1 0 0 0 0 0 0 ~1 1 0 0 0 0 0 0
(((x * 2) - ((x mod ((2 - (x div (2 + 2))) + 2)) div 2)) + 1)
A299231: 1 3 4 6 9 10 13 15 17 19 21 23 25 27 29 31
(x - (((((1 - (x div 2)) * (x div (2 + 2))) div 2) div 2) - 1))
A317044: 1 2 3 4 6 7 8 9 11 12 13 14 17 18 20 21
(((((x + 1) * (2 + 1)) mod ((x div (2 + 2)) + 2)) div 2) + 1)
A288915: 1 1 1 1 1 1 1 1 2 2 1 1 3 2 1 2
(x - (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) - 1))
A031218: 1 2 3 4 5 5 7 8 9 9 11 11 13 13 13 16
(((x * 2) div (((x * 2) div ((x div (2 + 2)) + 2)) + 2)) + 1)
A161358: 1 1 2 2 3 3 3 3 3 4 3 4 5 4 5 4
(2 div ((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 1))
A288318: 1 0 1 0 0 1 0 2 0 1 0 0 0 0 1 0
(1 div ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A103452: 1 ~1 1 ~1 0 1 ~1 0 0 1 ~1 0 0 0 1 ~1
(x - (((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) - 1))
A225647: 1 3 4 6 7
A007401: 1 3 4 6 7 8 10 11 12 13 15 16 17 18 19 21
((((1 - x) * (x * 2)) mod (((x div (2 + 2)) + 2) + 2)) + 1)
A334997: 1 1 1 1 2 1 1 2 3 1 1 3 3 4 1 1
(1 - (2 mod (((x * x) mod (((x div (2 + 2)) + 2) + 2)) + 1)))
A256175: 1 1 1 1 1 1 1 ~1 ~1 ~1 ~1 1 ~1 1 1 1
(((((x * 2) * 2) - ((x - (x div (2 + 2))) div 2)) + 2) + 1)
A003231: 3 7 10 14 18 21 25 28 32 36 39 43 47 50 54 57
(((((((x div ((2 + 2) * 2)) + x) + 2) * 2) * 2) * 2) + 1)
A227238: 17 25 33 41 49 57 65 73 89 97 105 113 121 129 137 145
(x - (((((((2 - (x div 2)) * x) div 2) div 2) div 2) div 2) - 1))
A228897-A094563-A065108: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 21
(((((((x div 2) + x) - 1) mod ((x + 2) + 2)) mod 2) * 2) - 1)
A319116: 1 ~1 ~1 1 1 ~1 ~1 1 1 ~1 ~1 ~1 1 1 ~1 ~1
(((((((x * x) * x) div 2) mod ((x + 2) + 2)) div 2) mod 2) + 1)
A105141: 1 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2
(((x + 1) div (((x * x) mod (((x + 2) + 2) * 2)) + 2)) + 1)
A334006: 1 1 1 1 3 1 1 2 1 3 1 5 1 1 1 1
((x div (((((2 - x) * x) mod ((x + 2) + 2)) + 2) * 2)) + 1)
A253641: 1 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1
(((x div (((((2 + 2) * 2) - (x div 2)) * 2) * 2)) * 2) + 1)
A147449-A147402-A147252-A147190: 1 1 1 1 1 1 1 1 1 1 1 1 3 3 7 7
(((x - ((((x + 1) * 2) mod ((x div 2) + 2)) div 2)) div 2) + 1)
A107631: 1 1 2 2 2 3 3 4 5 5 6 6 6 6 7 7
(((((((x * x) div 2) * 2) mod ((x div 2) + 2)) div 2) div 2) + 1)
A046214: 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 3
(x - (((((x + 2) div (2 - ((x div 2) mod 2))) div 2) div 2) - 1))
A225489: 1 2 2 3 5 6 5 6 8 9 8 9 12 13 11 12
(((x - (x div (((x + 1) mod ((x mod 2) + 2)) + 2))) div 2) + 1)
A132015: 1 1 2 2 2 2 3 4 4 4 4 4 5 6 6 6
(((x * 2) + 1) mod (((x div (((x mod 2) + 2) + 2)) * 2) - 1))
A316400: 0 0 0 0 0 0 0 0 2 0 0 2 0 0 4 1
(x - ((x div ((x mod ((x mod ((x mod 2) + 2)) + 2)) + 2)) - 1))
A213634: 1 2 2 3 3 5 4 6 5 7 6 10 7 10 8 11
((((x div 2) - (((x + 1) div (2 + 1)) mod (2 + 2))) div 2) + 1)
A196933-A029135: 1 1 1 1 1 1 1 1 1 1 2 3 4 4 4 4
(((((x * 2) + 1) mod (x - ((x + 1) mod (2 + 2)))) div 2) + 1)
A228107-A144328: 1 1 1 1 1 2 1 1 2 3 1 1 2 3 4 1
(x - ((x + 2) div (((x div (2 + 1)) - ((2 + 2) * 2)) - 1)))
A298303-A207333-A179182-A002180: 1 2 3 4 5 6 8 9 10 11 12 14 15 16 18 20
(((x * 2) - (((x + 1) * 2) div (1 - ((2 + 2) * 2)))) + 1)
A184978: 2 4 6 9 11
A330000-A329826-A059566: 2 4 6 9 11 13 15 18 20 22 25 27 29 31 34 36
(((x * 2) - (((2 + 1) * x) div (1 - ((2 + 2) * 2)))) + 1)
A231407: 1 4 6
A186345-A186318: 1 4 6 9 11 14 16 18 21 23 26 28 31 33 35 38
(((2 + 1) * x) - (2 mod ((x div (1 - ((2 + 2) * 2))) - 1)))
A022844: 0 3 6 9 12 15 18 21 25 28 31 34 37 40 43 47
(((x + 2) div ((x div ((0 - 2) - 2)) + ((2 + 2) * 2))) + 1)
A209628-A088004-A070548: 1 1 1 1 1 2 2 2 2 3 3 3 3 4 5 5
((x mod (((x * 2) div ((x div 2) + 2)) + ((2 + 2) * 2))) - 1)
A228822: ~1 0 1 2 3 4 5 6 7 8 ~1 ~1 0 1 2 3
((x + 1) mod ((x mod (((x div 2) mod 2) + ((2 + 2) * 2))) + 1))
A241173: 0 0 0 0 0 0 0 0 0 0 1 0 3 2 3 2
(x - (((x div (2 + 2)) div ((x div 2) - ((2 + 2) * 2))) - 1))
A013919: 1 2 3 4 6 7 8 9 10 11 12 13 15 16 18 19
(2 div ((((x + 2) div (2 - (x mod 2))) mod ((2 + 2) * 2)) + 1))
A245038: 1 0 0 0 0 0 0 1 0 0 0 0 0 0 2 1
((((((2 + 2) + 1) * x) * 2) + 1) * (((2 + 2) * 2) + 1))
A139280: 9 99 189 279 369 459 549 639 729 819 909 999 1089 1179 1269 1359
(((((x + 2) + 1) * (x + 2)) + 1) * (((2 + 2) * 2) + 1))
A038865: 63 117 189 279 387 513 657 819 999 1197 1413 1647 1899 2169 2457 2763
((((x - 2) * 2) * ((x * 2) + 1)) mod (((2 + 2) * 2) + 1))
A144481: 5 3 0 5 0 3 5 6 6 5 3 0 5 0 3 5
(((((x * x) * (2 + 1)) + x) - 1) mod (((2 + 2) * 2) + 1))
A145594: 8 3 4 2 6 7 5 0 1 8 3 4 2 6 7 5
((((x div ((2 + 2) * 2)) + x) + 1) * (((2 + 2) * 2) + 1))
A217373: 9 18 27 36 45 54 63 72 90 99 108 117 126 135 144 153
((((x - ((2 - x) * 2)) * x) + 1) mod (((2 + 2) * 2) + 1))
A144478: 1 0 5 7 6 2 4 3 8 1 0 5 7 6 2 4
((((2 - (x mod 2)) + 1) * (x + 1)) * (((2 + 2) * 2) + 1))
A152053: 27 36 81 72 135 108 189 144 243 180 297 216 351 252 405 288
((((2 - (x mod 2)) + 1) * (x + 1)) mod (((2 + 2) * 2) + 1))
A158674: 3 4 0 8 6 3 3 7 0 2 6 6 3 1 0 5
(((((x * x) + 2) * x) * (x + 1)) mod (((2 + 2) * 2) + 1))
A158090: 0 6 0 6 0 0 3 3 0 0 6 0 6 0 0 3
(x - ((((1 - x) * x) * (x - 1)) * (((2 + 2) * 2) + 1)))
A086605: 0 1 20 111 328 725 1356 2275 3536 5193 7300 9911 13080 16861 21308 26475
(x - ((x mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1)))
A063543: 0 0 0 0 0 0 0 0 0 9 10 10 10 10 10 10
(((((x - 2) * x) * (x - 1)) div 2) * (((2 + 2) * 2) + 1))
A134171: 0 0 0 27 108 270 540 945 1512 2268 3240 4455 5940 7722 9828 12285
(((((x - 2) * x) * (x - 1)) div 2) div (((2 + 2) * 2) + 1))
A011849: 0 0 0 0 1 3 6 11 18 28 40 55 73 95 121 151
(((((x * x) div 2) - (x mod 2)) + 2) mod (((2 + 2) * 2) + 1))
A237274: 2 1 4 5 1 4 2 7 7 5 7 7 2 4 1 5
(((((x * x) * (2 + 1)) - x) div 2) * (((2 + 2) * 2) + 1))
A152996: 0 9 45 108 198 315 459 630 828 1053 1305 1584 1890 2223 2583 2970
(x - (x div (1 - (((1 - x) * 2) div (((2 + 2) * 2) + 1)))))
A038668: 0 0 1 2 2 3 4 5 6 6 7 9 9 10 11 12
(x - ((((x * x) * (1 - x)) div 2) * (((2 + 2) * 2) + 1)))
A006566: 0 1 20 84 220 455 816 1330 2024 2925 4060 5456 7140 9139 11480 14190
(1 - (x - ((((x + 1) * x) div 2) * (((2 + 2) * 2) + 1))))
A081267: 1 9 26 52 87 131 184 246 317 397 486 584 691 807 932 1066
(((x * 2) * 2) - (((2 - x) * 2) div (((2 + 2) * 2) + 1)))
A081843: 0 4 8 13 17 21 25 30 34 38 42 46 51 55 59 63
(((((x + 1) * x) + 1) * (x + 2)) div (((2 + 2) * 2) + 1))
A222010: 0 1 3 7
A060999: 0 1 3 7 14 24 38 57 81 111 148 192 244 305 375 455
(1 - (x div (x - (1 - ((x * 2) mod (((2 + 2) * 2) + 1))))))
A299038-A273693-A185646: 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1
((x * x) - ((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1)))
A051865: 0 1 13 36 70 115 171 238 316 405 505 616 738 871 1015 1170
((((x div 2) div ((2 + 2) + 1)) + x) * (((2 + 2) * 2) + 1))
A248050: 0 9 18 27 36 45 54 63 72 81 99 108 117 126 135 144
(((((x mod 2) * 2) + 1) * (1 - x)) mod (((2 + 2) * 2) + 1))
A228211: 1 0 8 3 6 6
(((x + 2) div (2 + 1)) - ((1 - x) div (((2 + 2) * 2) + 1)))
A189717: 0 1 2 2 3 3 3 4 4 4 5 6 6 7 7 7
((((((x div 2) mod 2) + x) div 2) + x) + (((2 + 2) * 2) + 1))
A295743: 9 10 12 14 15
A214602: 9 10 12 14 15 16 18 20 21 22 24 26 27 28 30 32
((((x div 2) * 2) div (2 + 1)) + (x div (((2 + 2) * 2) + 1)))
A090619: 0 0 0 0 1 1 2 2 2 3 4 4 5 5 5 5
(((((2 + 2) * 2) + x) + 2) + (x div (((2 + 2) * 2) + 1)))
A304366-A248014-A088476: 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26
((((((x + 2) * x) - 1) * x) * x) * (((2 + 2) * 2) + 1))
A060788: 0 18 252 1134 3312 7650 15228 27342 45504 71442 107100 154638 216432 295074 393372 514350
((((((x div 2) * x) div (2 + 1)) - x) div ((2 + 2) * 2)) + 1)
A185326: 1 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3
(((((((x + 1) div 2) div 2) div 2) + x) mod ((2 + 2) * 2)) + 1)
A338492-A338481-A338458-A002376: 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 2
((((x div 2) * x) mod (1 - ((2 - x) div ((2 + 2) * 2)))) + 1)
A118663: 1 1 1 2 1 1 1 2 1 1 1 2 1 1 3 1
((x mod (((x div 2) + 2) div (2 - (x div ((2 + 2) * 2))))) + 1)
A030562: 1 1 1 1 1 2 1 2 3 4 4 5 5 6 6 7
((((x + 1) mod (2 + 2)) * 2) + ((x mod ((2 + 2) * 2)) - 1))
A071932: 1 4 7 2 5 8 11 6 1 4 7 2 5 8 11 6
(x - ((((((x div (2 + 1)) mod 2) + x) div (2 + 2)) * 2) - 1))
A327666: 1 2 3 2 3 4 5 6 5 6 7 6 7 8 9 8
(((((2 + 1) * x) - (((x div 2) + x) div (2 + 2))) * 2) + 1)
A225227: 1 7 13
A288713: 1 7 13 17 23 29 33 39 43 49 55 59 65 71 75 81
((((1 - (x div ((0 - 2) - 2))) * (x div (2 + 2))) div 2) + 1)
A286305-A131799-A078635-A029078: 1 1 1 1 2 2 2 2 4 5 5 5 7 8 8 8
(((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1))
A343660-A343653-A335447-A327695-A326197-A325226-A319058-A281116-A089233-A066620: 0 0 0 0 0 1 0 0 0 1 0 2 0 1 1 0
((((2 + 1) * x) + 2) - (x div (((x div (2 + 2)) + 2) + 1)))
A189365: 2 5 8 10 13 16 19 22 25 28 30 33 36 39 42 45
((((((x div 2) + x) div 2) mod 2) + ((x div (2 + 2)) mod 2)) - 1)
A118831: ~1 ~1 0 ~1 1 1 0 1 ~1 ~1 0 ~1 1 1 0 1
(x - (((x div (2 + 1)) - 1) div (((x div (2 + 2)) mod 2) + 1)))
A334714: 1 2 3 3 4 5 6 7 7 7 8 9 11 12 13 13
(((((((x div 2) + x) + 2) * 2) - (x mod (2 + 2))) * 2) - 1)
A112072: 7 9 15 17 31 33 39 41 55 57 63 65 79 81 87 89
(x mod ((((2 + 2) mod (x + 1)) mod ((x mod (2 + 2)) + 2)) + 1))
A123671: 0 0 0 0 0 1 0 2 0 1 0 1 0 1 0 0
(((x + 2) * x) - (((x - ((x * x) div (2 + 2))) div 2) - 1))
A022779: 1 4 9 16 25 37 51 67 85 106 129 154 181 211 243 277
(((((((((x + 1) div 2) div 2) - 1) * x) div 2) div 2) div 2) + 1)
A036015: 1 0 0 1 1 1 1 1 2 2 2 3 4 4 4 6
(((1 - (x div ((((x div (2 + 1)) * x) mod 2) - 2))) * 2) + 1)
A087349: 3 5 5 9 7 13 9 11 11 21 13 25 15 17 17 33
((((x - (((x div (2 + 1)) * (1 - x)) div 2)) div 2) div 2) + 1)
A029050: 1 1 1 2 2 2 3 4 4 6 7 7 9 10 11 13
((((x - (((x div ((0 - 2) - 2)) * x) div 2)) div 2) div 2) + 1)
A241948: 1 1 1 2 2 3 4 4 5 6 7 8 8 10 11 12
(x - ((((((x * x) * (2 + 1)) div (x + 2)) div 2) div 2) - 1))
A047745: 1 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7
((((x * 2) mod ((((x * 2) * 2) div (x + 2)) + 2)) div 2) + 1)
A106698: 1 2 1 2 1 2 2 3 1 2 1 2 3 1 2 1
((((x * x) div 2) * (2 + 1)) div ((((x + 2) + 2) + 2) + 1))
A127033: 0 0 0 1 2 3 4 5 6 7 8 10 11 12 14 15
(x - ((((x - 2) * x) - 1) div ((((x + 2) + 2) + 2) + 1)))
A306631: 1 2 3 3 4 4 5 5 5 6 6 6 6 6 7 7
(((((x - 1) div 2) - 2) * x) mod ((((x + 2) + 2) + 2) + 1))
A086268: 0 6 5 7 7 0
((x * 2) - (((x * x) - 2) div ((((x + 2) * 2) * 2) + 1)))
A184742: 1 3 4 6 8 10 11 13 15 17 18 20 22 24 26 27
(((x - ((((x * x) div 2) div (1 - (x * 2))) - 2)) * 2) + 1)
A113909: 5 7 11 13 17 19 21 23 27 29 31 33 37 39 41 43
(((x - ((((1 - x) div (2 + 1)) - (x div 2)) div 2)) + 2) + 1)
A185543: 3 4 6 7 9 10 12 13 15 16 17 19 20 21 23 24
(x - ((((((x div (2 + 2)) + 2) * (x div 2)) div 2) div 2) - 1))
A056791: 1 2 3 4 4 5 5 6 5 6 6 7 6 7 7 8
((((x * 2) - (((x mod (2 + 2)) + (x div 2)) div 2)) + 2) + 1)
A028811-A028762: 3 5 6 7 10 12 13 14 17 19 20 21 24 26 27 28
(((x + 2) div ((((x - 1) * 2) div ((x div 2) + 2)) + 2)) - 1)
A029233: 1 0 1 0 1 0 1 1 1 1 2 2 2 2 3 2
(1 div (((((x * x) * (x - 2)) mod ((x div 2) + 2)) div 2) + 1))
A104037: 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1
(x - ((((x - 1) div 2) * x) div ((((x div 2) + 2) + 2) + 1)))
A333262: 0 1 2 3 4 4 5 5 6 5 6 6 7 6 7 7
(((((x - (2 + 1)) * (x * x)) mod ((x div 2) + 2)) div 2) + 1)
A154402: 1 1 2 1 1 2 2 1 2 1 1 2 1 2 3 1
(((x + 2) * x) mod ((x div ((x div ((x mod 2) + 2)) + 2)) + 1))
A096159: 0 0 0 1 0 1 0 1 0 1 0 2 0 0 0 0
(1 - ((x + 2) mod (((0 - (x mod ((x mod 2) + 2))) * 2) - 1)))
A178764: 1 1 1 1 1 4 1 1 1 1 1 3 1 1 1 1
((x + 1) div (2 - ((1 - x) div ((((x mod 2) * 2) * 2) + 1))))
A241276: 1 1 1 1 1 2 1 2 1 2 1 3 1 2 1 3
(((x mod (2 + 1)) - (((x div (2 + 1)) + 1) mod (2 + 2))) + 1)
A065368: 0 1 2 ~1 0 1 ~2 ~1 0 1 2 3 0 1 2 ~1
((2 + 2) div ((((x + 2) mod ((2 + 2) + 1)) mod (2 + 2)) + 1))
A173635: 1 1 4 4 2 1 1 4 4 2 1 1 4 4 2 1
(((((((x div 2) mod 2) + x) + 2) div (2 + 1)) mod (2 + 2)) + 1)
A137300: 1 2 2 3 3 3 4 4 4 4 1 1 1 2 2 3
((x div ((x mod (2 + 1)) + 1)) mod (((x + 1) mod (2 + 2)) + 1))
A037881-A037845: 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 0
((((x div (2 + 2)) + 2) + 2) div (((x - 1) mod (2 + 2)) + 1))
A051758: 1 4 2 1 1 5 2
(((x + 2) * 2) div (((((x * x) - 1) div 2) mod (2 + 2)) + 1))
A145979: 1 6 4 10 3 14 8 18 5 22 12 26 7 30 16 34
(((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1))
A324192-A183094-A066301-A056973-A046660: 0 0 0 1 0 0 0 2 1 0 0 1 0 0 0 3
((((x * 2) - ((x - 2) div (2 + 1))) + 1) * ((2 + 2) + 1))
A179819: 10 20 25 35 45 50 60 70 75 85 95 100 110 120 125 135
(((((x - 2) * x) * ((x * 2) + 1)) - 1) mod ((2 + 2) + 1))
A152890: 4 1 4 0 1 4 1 4 0 1 4 1 4 0 1 4
(1 mod (((((2 - x) div 2) * (x - 1)) - 1) mod ((2 + 2) + 1)))
A285498: 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0
((((x - ((x div 2) div (0 - 2))) * 2) + 1) * ((2 + 2) + 1))
A072186: 5 15 35 45 55 65 85 95 105 115 135 145 155 165 185 195
(((x * x) * x) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A070507: 0 1 8 27 19 35 36 28 17 9 10 26 18 37 44 0
((((x * 2) * (x + 1)) * ((2 + 2) + 1)) * ((2 + 2) + 1))
A124437: 0 100 300 600 1000 1500 2100 2800 3600 4500 5500 6600 7800 9100 10500 12000
(((((x + 1) * x) div 2) * ((2 + 2) + 1)) * ((2 + 2) + 1))
A123296: 0 25 75 150 250 375 525 700 900 1125 1375 1650 1950 2275 2625 3000
((((0 - x) - 2) - (x div ((2 + 2) + 1))) mod ((2 + 2) + 1))
A194885: 3 2 1 0 4 2 1 0 4 3 1 0 4 3 2 0
((x - (((x div (0 - 2)) - 1) div (2 + 1))) mod ((2 + 2) + 1))
A190886: 1 2 3 4 0 2 3 4 0 1 2 4 0 1 2 3
(((((x + 1) * 2) * (2 + 1)) * (2 + 1)) div ((2 + 2) + 1))
A171983: 3 7 10 14 18 21 25 28 32 36 39 43 46 50 54 57
(x - (((((1 - x) * x) div 2) * (2 + 1)) * ((2 + 2) + 1)))
A051869: 0 1 17 48 94 155 231 322 428 549 685 836 1002 1183 1379 1590
((x - (((x * x) * (1 - x)) * (2 + 1))) * ((2 + 2) + 1))
A064046: 0 5 70 285 740 1525 2730 4445 6760 9765 13550 18205 23820 30485 38290 47325
(((((x + 2) * x) div 2) - (x mod (2 + 1))) div ((2 + 2) + 1))
A047872: 0 0 0 1 2 3 4 6 7 9 11 13 16 19 22 25
(((((2 + 1) * x) + 2) * ((x + 2) + 1)) div ((2 + 2) + 1))
A058759: 1 4 8 13
A183865: 1 4 8 13 19 27 36 46 57 69 83 98 114 131 149 169
(1 mod (((((x div 2) + 2) * (x - 2)) + 1) mod ((2 + 2) + 1)))
A249066: 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1
((((x * 2) * (x + 1)) * ((x * 2) + 1)) * ((2 + 2) + 1))
A063497: 0 60 300 840 1800 3300 5460 8400 12240 17100 23100 30360 39000 49140 60900 74400
(1 - ((((x mod 2) - x) * ((x div 2) + 1)) div ((2 + 2) + 1)))
A001362-A001310: 1 1 2 2 4 4 6 6 9 9 13 13 18 18 24 24
(x - ((x div 2) - ((((x mod 2) + x) + 1) * ((2 + 2) + 1))))
A168463: 5 16 16 27 27 38 38 49 49 60 60 71 71 82 82 93
(1 - ((x + 2) mod ((((x mod 2) - x) - 1) div ((2 + 2) + 1))))
A292224: 1 1 1 1 1 1 1 2 1 2 1 3 2 1 3 2
(((x div 2) + x) - ((((x mod 2) - x) - 1) div ((2 + 2) + 1)))
A188298: 1 2 4 5 7 8 11 12 14 15 18 19 21 22 24 25
((((((2 + 2) * 2) * 2) + 1) * (x + 1)) div ((2 + 2) + 1))
A001952: 3 6 10 13 17 20 23 27 30 34 37 40 44 47 51 54
((((((2 + 2) + 1) * 2) * 2) mod (x + 1)) div ((2 + 2) + 1))
A011687: 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0
(((x div ((2 + 2) + 1)) + x) + ((x + 1) div ((2 + 2) + 1)))
A047373-A039048: 0 1 2 3 5 7 8 9 10 12 14 15 16 17 19 21
((((x + 1) * x) div 2) - (((x * x) + 1) div ((2 + 2) + 1)))
A227353: 0 1 2 4 7 10 14 18 23 29 35 42 49 57 66 75
(x - (((((x mod 2) + x) + 1) * (0 - 2)) div ((2 + 2) + 1)))
A026363: 1 3 4 5 6 8 9 11 12 14 15 17 18 19 20 22
((x - (((x div 2) mod ((2 + 2) + 1)) * 2)) * ((2 + 2) + 1))
A059628: 0 5 0 5 0 5 0 5 0 5 50 55 50 55 50 55
((((x + 1) * x) div 2) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A249736: 0 1 3 6 10 15 21 28 6 15 25 6 18 1 15 0
(((x * x) * (x * x)) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A070573: 0 1 16 21 16 25 6 1 16 21 10 1 6 1 16 15
((((((x + 2) * x) * (x + 2)) + 1) * 2) * ((2 + 2) + 1))
A207449: 10 100 330 760 1450 2460 3850 5680 8010 10900 14410 18600 23530 29260 35850 43360
((x * 2) - (((((x div 2) + x) - 1) * 2) div ((2 + 2) + 1)))
A285360: 1 2 4 5 6 8 9 11 12 14 15 16 18 19 20 22
(((x + 1) * (2 + 1)) - (((x + 1) * 2) div ((2 + 2) + 1)))
A286988: 3 6 8 11 13 16 19 21 24 26 29 32 34 37 39 42
(((x * 2) * (2 + 1)) - (((x + 1) * 2) div ((2 + 2) + 1)))
A231001: 0 6 11 17 22 28 34 39 45 50 56 62 67 73 78 84
(((((x * x) div (2 + 2)) * (x - 1)) div 2) div ((2 + 2) + 1))
A175776: 0 0 0 0 1 2 4 7 11 16 22 30 39 50 63 78
((x div 2) - ((((2 - x) * (x - 1)) div 2) div ((2 + 2) + 1)))
A082642: 1 0 1 2 3 4 5 6 9 10 13 14 17 20 23 26
((((((x - 2) * x) * (x - 1)) div 2) div 2) div ((2 + 2) + 1))
A011902: 0 0 0 0 1 3 6 10 16 25 36 49 66 85 109 136
(((x mod (((2 - x) mod (2 + 2)) + 2)) * 2) * ((2 + 2) + 1))
A171809: 0 10 0 30 0 20
((((((x * x) * (x + 2)) div 2) div 2) div 2) div ((2 + 2) + 1))
A177176: 0 0 0 1 2 4 7 11 16 22 30 39 50 63 78 95
(((x + 2) * x) - ((1 - ((2 + 2) * 2)) * ((2 + 2) + 1)))
A114965: 35 38 43 50 59 70 83 98 115 134 155 178 203 230 259 290
(((x * x) * (x * x)) mod (((2 + 2) * 2) * ((2 + 2) + 1)))
A070583: 0 1 16 1 16 25 16 1 16 1 0 1 16 1 16 25
(1 - ((0 - (((x + 2) * x) div (2 + 2))) div ((2 + 2) + 1)))
A029029: 1 1 2 2 3 3 4 4 5 6 7 8 10 11 13 14
(0 - (((x * 2) - ((x * x) div (2 + 2))) div ((2 + 2) + 1)))
A340270: 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6
((((x - 1) * x) - ((x * x) div (2 + 2))) div ((2 + 2) + 1))
A294023: 0 0 0 0 1 2 4 6 8 10 13 16 19 22 26 30
(x - (((x - ((x + 2) * (x + 2))) div 2) div ((2 + 2) + 1)))
A241071: 1 2 4 6 8 10 12
A186384: 1 2 4 6 8 10 12 15 18 21 24 27 31 35 39 43
(((((x - 1) mod ((2 + 2) + 1)) + x) * 2) div ((2 + 2) + 1))
A106250: 1 0 1 2 2 3 2 3 4 4 5 4 5 6 6 7
(((2 + 2) * (x + 1)) - (((1 - x) * 2) div ((2 + 2) + 1)))
A187338: 4 8 13 17 22 26 30 35 39 44 48 52 57 61 66 70
((((2 + 1) * x) + 2) - (((1 - x) * 2) div ((2 + 2) + 1)))
A184922: 2 5 9 12 16 19 22 26 29 33 36 39 43 46 50 53
(((((((2 + 2) + 1) * x) + 1) * x) div 2) * ((2 + 2) + 1))
A144312: 0 15 55 120 210 325 465 630 820 1035 1275 1540 1830 2145 2485 2850
(x - (((((x div 2) mod (2 + 2)) - x) - 2) div ((2 + 2) + 1)))
A082463: 1 2 3 4 5 6 7 9 10
A039163: 1 2 3 4 5 6 7 9 10 12 13 14 15 16 17 18
(((2 + 1) * x) - ((x - ((2 - x) div 2)) div ((2 + 2) + 1)))
A136616-A054414: 1 3 6 9 11 14 17 19 22 25 28 30 33 36 38 41
(((((2 + 1) * x) + 2) * 2) + ((x + 2) div ((2 + 2) + 1)))
A184527: 4 10 16 23 29 35 41 47 54 60 66 72 78 85 91 97
((((2 + 1) * x) + 2) - ((1 - (x * 2)) div ((2 + 2) + 1)))
A184619: 2 6 9 12 16 19 23 26 29 33 36 40 43 46 50 53
(((x mod 2) + 2) - (((x div 2) - (x * 2)) * ((2 + 2) + 1)))
A177964: 2 13 17 28 32 43 47 58 62 73 77 88 92 103 107 118
(((x + 1) * 2) - (((x div 2) - (x * 2)) div ((2 + 2) + 1)))
A184743: 2 5 7 9 12 14 16 19 21 23 25 28 30 32 35 37
((((x + 2) + 2) * (x + 2)) - ((x * 2) div ((2 + 2) + 1)))
A034114: 8 15 24 34 47 61 78 97 117 140 164 191 220 250 283 317
((((x + 1) * 2) * (2 + 1)) + ((x div 2) div ((2 + 2) + 1)))
A187389: 6 12 18 24 30 36 42 48 54 60 67 73 79 85 91 97
(((((x + 2) + 2) + 1) * 2) + ((x div 2) div ((2 + 2) + 1)))
A167153: 10 12 14 16 18 20 22 24 26 28 31 33 35 37 39 41
(((2 + 1) * x) - (((1 - x) - (x div 2)) div ((2 + 2) + 1)))
A198267: 0 3 7 10 13 17 20 23 27 30 33 36 40 43 46 50
(((x div 2) div (2 + 1)) div (((x * x) + 2) mod ((2 + 2) + 1)))
A137581: 0 0 0 0 0 0 0 1 1 0 0 0 2 2 0 1
(1 - (((x div (2 + 1)) - ((x * x) div 2)) div ((2 + 2) + 1)))
A029014: 1 1 2 2 3 4 5 6 7 9 11 13 15 17 20 23
(((((x * x) div 2) div ((x + 2) + 1)) + x) + ((2 + 2) + 1))
A128427: 5 6 7 8 10 11 13 14 15 17 18 20 21 23 24 26
((x - ((2 + 2) * 2)) mod (2 - ((1 - x) div ((2 + 2) + 1))))
A096087: 0 1 0 1 2 0 1 3 0 1 2 3 4 0 1 2
(((((x * 2) * (2 + 1)) div (x + 1)) + x) + ((2 + 2) + 1))
A118358: 5 9 11 12 13 15 16 17 18 19 20 21 22
((x + 1) mod (2 - ((0 - ((x + 1) * x)) mod ((2 + 2) + 1))))
A014069: 1 0 ~1 0 1 0 0 0 0 0 1 0 ~1 0 1 0
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * ((2 + 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A102493-A024661: 0 1 2 3 4 5 6 7 8 9 60 61 62 63 64 65
(x - (((((x div 2) - 1) mod (2 + 2)) - x) div ((2 + 2) + 1)))
A039181: 0 1 3 4 5 6 7 8 9 11 12 14 15 16 17 18
(((((x * x) * (x * x)) + (2 + 2)) * x) div ((2 + 2) + 1))
A054620: 0 1 8 51 208 629 1560 3367 6560 11817 20008 32219 49776 74269 107576 151887
(1 - ((((x div (2 + 1)) + 1) * (2 - x)) div ((2 + 2) + 1)))
A342518: 1 1 1 2 2 3 4 4 5 7 8 9 11 12 13 17
(((x - 1) div 2) mod (2 - (((x + 2) * x) mod ((2 + 2) + 1))))
A214293: 1 0 0 1 ~1 0 0 0 1 0 0 0 0 0 0 1
((x + 2) - ((x * x) div (((x div 2) + x) + ((2 + 2) + 1))))
A093874: 2 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9
(1 - ((x div (((0 - 2) - 2) - 1)) * (x div ((2 + 2) + 1))))
A129263: 1 1 1 1 1 2 3 3 3 3 5 7 7 7 7 10
((2 + 1) div ((((x mod 2) + 2) + 1) - (x div ((2 + 2) + 1))))
A281273-A025810-A001319: 1 0 1 0 1 1 1 1 1 1 3 1 3 1 3 3
((((x + 1) * (2 + 1)) * (2 + 1)) + (x div ((2 + 2) + 1)))
A206905: 9 18 27 36 45 55 64 73 82 91 101 110 119 128 137 147
((((x div 2) * x) div ((x + 2) + 2)) - (x div ((2 + 2) + 1)))
A238780: 0 0 0 0 1 0 0 0 1 1 1 1 2 2 3 2
((((x div ((2 + 2) + 1)) + 1) div 2) + (x mod ((2 + 2) + 1)))
A260688-A092196-A011542: 0 1 2 3 4 1 2 3 4 5 1 2 3 4 5 2
(((x div ((((2 + 2) * 2) * 2) - x)) + x) div ((2 + 2) + 1))
A123576: 0 0 0 0 0 1 1 1 1 2 2 2 3 3 4 6
(((x div ((2 + 2) * 2)) + 1) div (((0 - x) mod (2 + 2)) + 1))
A025873: 1 0 0 0 1 0 0 0 2 0 0 1 2 0 0 1
(x - (((((x + 2) mod ((2 + 2) + 1)) - x) div (2 + 2)) - 1))
A332484: 1 2 3 5 6 7 8 9 11 12 13 14 15 18 19 20
(x - ((((((x div 2) - 1) mod (2 + 1)) - x) div (2 + 2)) - 1))
A039079: 1 2 4 5 6 7 8 10 11 13 14 15 16 17 19 20
(((x * 2) - ((((1 - x) mod (2 + 1)) + x) div (2 + 2))) + 1)
A027440: 1 3 4 6 8 10 12
A191262: 1 3 4 6 8 10 12 14 15 17 19 20 22 24 25 27
(x - (((2 - (((x * x) div (2 + 1)) + x)) div (2 + 2)) - 1))
A186388: 1 2 4 5 7 9 11 14 16 19 22 25 28 31 35 38
(x - (((((x div ((2 + 2) + 1)) * 2) - x) * (2 + 2)) - 1))
A081746: 1 6 11 16 21 18 23 28 33 38 35 40 45 50 55 52
(((x * 2) - ((((x div 2) mod (2 + 2)) + x) div (2 + 2))) + 1)
A283965: 1 3 5 6 8 10 11 13 15 17 19 20 22 24 25 27
(((x * 2) - ((2 - ((x div (2 + 2)) + x)) div (2 + 2))) + 1)
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A189929: 1 3 5 8 10 12 15 17 19 22 24 26 29 31 33 35
((x div 2) mod (1 - ((x + 2) mod (((2 - x) div (2 + 2)) - 1))))
A318499: 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 3
(1 - (1 div ((x * 2) - ((((x - 2) * x) div (2 + 2)) - 1))))
A215887: 0 1 1 1 1 1 1 1 1 1 0 2 2 2 2 2
(x - (((x + 1) div (((2 + 2) * 2) - (x div (2 + 2)))) - 1))
A082287: 1 2 3 4 5 6 6 7 8 9 10 10 11 12 12 13
((((((2 + 1) * x) + 2) * (x + 2)) + (x div (2 + 2))) + 1)
A227719: 5 16 33 56 86 121 162 209 263 322 387 458 536 619 708 803
(((x mod ((x div (2 + 1)) + 1)) + 1) div ((x div (2 + 2)) + 1))
A082886: 1 1 1 2 0 1 0 1 1 0 1 1 0 1 1 1
((((x * 2) div (2 + 1)) * (2 + 1)) mod ((x div (2 + 2)) + 1))
A144948: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 3 2
(x - ((((x div 2) * (2 + 1)) - 2) mod ((x div (2 + 2)) + 1)))
A291812-A291811: 0 1 2 3 4 5 5 6 7 8 9 10 12 13 11 12
(((x + 1) mod (((x mod 2) + 1) * 2)) * ((x div (2 + 2)) + 1))
A228817: 1 2 1 0 2
A108354: 1 2 1 0 2 4 2 0 3 6 3 0 4 8 4 0
((((x * x) div 2) - ((2 + 2) * 2)) mod ((x div (2 + 2)) + 1))
A285709: 0 0 0 0 0 0 0 0 0 2 0 1 0 0 2 0
((((x + 1) div 2) div 2) - (2 - (2 div ((x div (2 + 2)) + 1))))
A160383: 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 2
((((x mod ((x div 2) + 1)) div 2) + 1) div ((x mod (2 + 2)) + 1))
A029340: 1 0 0 0 1 1 0 0 2 1 1 0 3 2 1 1
(((((((2 + 2) * (2 + 1)) + 1) * x) * x) * (2 + 2)) + 1)
A158644: 1 53 209 469 833 1301 1873 2549 3329 4213 5201 6293 7489 8789 10193 11701
(((((((2 + 2) * (2 + 1)) - 1) * x) * x) * (2 + 2)) + 1)
A158630: 1 45 177 397 705 1101 1585 2157 2817 3565 4401 5325 6337 7437 8625 9901
((((((((2 + 2) * 2) * 2) + 1) * x) * x) * (2 + 2)) + 1)
A158732: 1 69 273 613 1089 1701 2449 3333 4353 5509 6801 8229 9793 11493 13329 15301
(((x - (((x div ((2 + 2) * (2 + 1))) - x) div 2)) + 2) + 1)
A121506: 3 5 6 8 9 11 12 14 15 17 18 20 21 22 24 25
(x - (x div ((((((1 - x) mod (2 + 1)) + x) div 2) * 2) - 1)))
A102240: 0 2 2 2 3 4 5 6 8 8 9 10 11 12 14 14
((((((x - 2) mod ((x div (2 + 1)) + 2)) + x) div 2) mod 2) + 1)
A279620: 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1
(x mod (((2 - ((((x mod (2 + 1)) div 2) - x) div 2)) + 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A004428: 0 1 2 3 4 5 6 7 8 9 0 1 1 1 2 2
((((x + 2) div (((((2 + 2) * 2) * 2) - x) * 2)) div 2) + 1)
A036607: 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 5
(((((((x * 2) * 2) div ((x + 2) + 2)) + x) div 2) mod 2) + 1)
A054350: 1 1 2 1 2 2 1 1 2 2 1 1 2 1 1 2
(x - ((2 mod (1 - (((((x div 2) mod 2) + x) div 2) * 2))) - 1))
A298705: 1 2 3 5 6 7 10 13 14 15
((((((((x * x) div (2 + 1)) + x) div 2) + x) + 2) * 2) + 1)
A072249: 5 7 11 17 21 27 35 41
((((((((2 + 2) * 2) + x) * (x + 2)) + x) - 2) * 2) - 1)
A154591: 27 51 79 111 147 187 231 279 331 387 447 511 579 651 727 807
(((x mod 2) - ((((x div 2) - ((x mod 2) * x)) div 2) * 2)) - 1)
A134967: ~1 2 ~1 2 ~3 4 ~3 4 ~5 6 ~5 6 ~7 8 ~7 8
(((((x div 2) div (((0 - 2) - 2) - 1)) mod (x + 2)) div 2) + 1)
A226142: 1 1 2 3 3 4 4
A254531-A067086: 1 1 2 3 3 4 4 5 5 6 6 7 7 7 8 8
(x - ((((((x mod 2) - x) div (2 + 1)) mod (x + 2)) mod 2) - 1))
A118003: 1 2 2 4 5 5 7 7 8 10 11 11 13 13 14 16
(((((((2 + 2) mod (x + 2)) + x) + 1) * (x + 2)) * 2) - 1)
A174268: 3 17 23 79
(x div (((((((x div 2) mod 2) - x) * 2) mod (x + 2)) * 2) + 1))
A269247: 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1
(x - (((((((x div 2) + x) * x) + 2) div (x + 2)) div 2) - 1))
A001462: 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6 7
(((1 - (x - ((2 + 2) * (2 + 1)))) * ((x + 2) + 2)) + 1)
A126665: 53 61 67 71 73 73 71 67 61 53 43 31 17 1 ~17 ~37
((((x + 1) * 2) * ((x + 2) + 1)) * (((x + 2) + 2) + 1))
A096382: 30 96 210 384 630 960 1386 1920 2574 3360 4290 5376 6630 8064 9690 11520
((x * 2) - ((((x * x) + 1) * 2) div (((x + 2) + 2) + 1)))
A096365: 0 2 3 4 5 5 6 6 6 7 7 7 7 8 8 8
((x mod 2) - (((1 - x) * (2 + 2)) div (((x + 2) + 2) + 1)))
A071330: 0 1 1 2 2 3 2 3 3 4 3 4 3 4 3 4
((x - (((x * x) * (1 - x)) div 2)) * (((x + 2) + 2) + 1))
A172132: 0 6 28 96 252 550 1056 1848 3016 4662 6900 9856 13668 18486 24472 31800
((((x * 2) * 2) - ((1 - (x * x)) div ((x + 2) + 2))) + 1)
A313694: 1 5 10 15 19 24 29 34 39 44 49 53 58 63 68 73
((((2 + 1) * x) * ((2 + 2) + 1)) div (((x + 2) * 2) + 1))
A116487: 0 2 3 4 4 5 5 5 5 5 6 6 6 6 6 6
(x - (1 - ((((x + 2) + 2) * 2) * (((x + 2) * 2) + 1))))
A250657: 39 70 109 156 211 274 345 424 511 606 709 820 939 1066 1201 1344
(x - (((((x - (x div (2 + 2))) div 2) - (x * 2)) * 2) - 1))
A134859: 1 6 9 14 19 22 27 30 35 40 43 48 53 56 61 64
((((2 - x) div ((x div (2 + 1)) + 2)) + ((x * 2) * 2)) + 1)
A086814: 2 5 9 12 16 20 24 27 31 35 39 43 47 51 55 59
(((((x * 2) * 2) * (x + 1)) + 1) * (((x * 2) * 2) + 1))
A280059: 1 45 225 637 1377 2541 4225 6525 9537 13357 18081 23805 30625 38637 47937 58621
(((x * 2) div (((0 - 2) - 2) - 1)) mod (((x * 2) * 2) + 1))
A198270: 0 4 8 11 15 19 22 26 29 33 37 40 44 47 51 55
((((((x * 2) + 1) * x) * 2) + 1) * (((x * 2) * 2) + 1))
A341043: 1 35 189 559 1241 2331 3925 6119 9009 12691 17261 22815 29449 37259 46341 56791
(((((2 + 1) * x) * (2 + 1)) + 2) * (((x * 2) * 2) + 1))
A157262: 2 55 180 377 646 987 1400 1885 2442 3071 3772 4545 5390 6307 7296 8357
(((((x div 2) + x) div (2 + 2)) - x) mod (((x * 2) * 2) + 1))
A195171: 0 4 7 11 14 17 21 24 28 31 34 38 41 44 48 51
((((((x + 1) * 2) * ((2 + 2) + 1)) + (x div 2)) * 2) - 1)
A258016: 19 39 61 81 103 123 145 165 187 207 229 249 271 291 313 333
(((((((x mod 2) * 2) + x) * (2 + 1)) - (x div 2)) * 2) + 1)
A166525: 1 19 11 29 21 39 31 49 41 59 51 69 61 79 71 89
((((((x + 1) * x) * ((x * 2) + 1)) + (x div 2)) * 2) + 1)
A175109: 1 13 63 171 365 665 1099 1687 2457 3429 4631 6083 7813 9841 12195 14895
((((((x - 1) * x) div ((2 + 2) * 2)) + (x div 2)) div 2) + 1)
A190278-A049809: 1 1 1 1 2 3 4 5 6 7 9 10 12 13 15 17
(((x * 2) - (((0 - (x mod (2 + 2))) - (x div 2)) div 2)) + 1)
A056991: 1 4 7 9 10 13 16 18 19 22 25 27 28 31 34 36
(((((((x * x) - 1) * (x div 2)) - 2) * (x div 2)) div 2) + 1)
A339266: 1 1 1 4 29
(2 div ((((((x * 2) * 2) - 1) * 2) mod ((x div 2) + 2)) + 1))
A242284: 2 2 0 1 0 0 1 0 0 0 1 0 0 0 0 1
(((x + 2) + 2) mod ((((x - 2) * 2) mod ((x div 2) + 2)) - 1))
A326332-A238657: 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5
(((x * 2) - ((((x div 2) * x) div 2) div ((x div 2) + 2))) + 1)
A288467: 1 3 5 7 8 10 12 13 15 16 18 20 21 23 24 26
(((x + 1) div (2 + 1)) - ((x * 2) div (((x div 2) + 2) + 1)))
A259194: 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 2
((x - ((((x + 1) div 2) div 2) * 2)) * (((x div 2) * 2) + 1))
A272549: 0 1 6 3 10 15 28 21 36 45 66 55 78 91 120 105
((((x div ((2 + 2) * 2)) + 2) + 2) mod (((x div 2) * 2) + 1))
A006264: 0 0 1 1 4 4 4 4 5 5 5 5 5 5 5 5
(((2 mod ((x mod (2 + 1)) + 1)) + 1) * (((x div 2) mod 2) + 1))
A306764: 1 1 6 2 1 3 2 2 3 1 2 6 1 1 6 2
((((x + 2) div ((x mod 2) + 1)) + 2) div (((x div 2) mod 2) + 1))
A117691: 4 3 3 2 8 5 5 3 12 7 7 4 16 9 9 5
((x div (((((x - 1) mod (2 + 1)) + 1) * (x mod 2)) + 2)) + 1)
A289439: 1 1 2 1 3 2 4 3 5 2 6 3 7 5 8 4
((x div (((((x div 2) mod (2 + 1)) + 1) * (x mod 2)) + 2)) + 1)
A289436: 1 1 2 1 3 2 4 3 5 3 6 3 7 5 8 4
((((((x div (2 + 2)) + x) * (2 + 1)) + (x mod 2)) div 2) + 1)
A024665: 1 3 4 6 8 10 11 13 16 18 19 21 23 25 26 28
((((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2) + 1)
A101925: 1 2 4 5 8 9 11 12 16 17 19 20 23 24 26 27
(((((((x div 2) mod 2) + x) * (2 + 1)) - (x mod 2)) * 2) + 1)
A074229: 1 5 19 23 25 29 43 47 49 53 67 71 73 77 91 95
(((x mod ((x mod 2) + 2)) + 1) - (x mod (((x mod 2) + 2) + 1)))
A112553: 1 1 ~1 ~2 0 2 1 ~1 ~1 0 0 0 1 1 ~1 ~2
(((((x + 2) * (x + 2)) div 2) + (x div ((x mod 2) + 2))) + 1)
A001841: 3 5 10 14 21 26 36 43 55 64 78 88 105 117 136 150
(((2 - x) mod ((x div (2 + 2)) + 1)) div (((x mod 2) * 2) + 1))
A209915: 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1
(((((((x mod 2) + x) * (2 + 1)) + (x * x)) * 2) * 2) + 1)
A214405: 1 29 41 85 113 173 217 293 353 445 521 629 721 845 953 1093
((((((x mod 2) + 2) * (x + 1)) + ((x * x) div 2)) * 2) + 1)
A245906: 5 13 17 33 37 61 65 97 101 141 145 193 197 253 257 321
(((((x + 1) * 2) mod ((x div (2 + 1)) + 1)) + 1) mod (2 + 1))
A339884: 1 1 1 1 1 1 0 2 1 1 0 1 2 1 1 0
((x div (((x + 2) mod ((x div (2 + 1)) + 1)) + 1)) mod (2 + 1))
A088978: 0 1 2 1 1 2 2 1 1 2 1 2 2 1 1 2
(((((2 + 1) * x) mod (((2 + 1) * 2) + 1)) + 1) div (2 + 1))
A285677: 0 1 2 1 2 0 1 0 1 2 1 2 0 1 0 1
(((x div ((x div (((x mod 2) + 2) * 2)) + 1)) + 1) div (2 + 1))
A208576: 0 0 1 1 1 2 1 1 1 1 1 2 1 1 1 2
((((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1) * (2 + 1))
A097802: 3 78 153 228 303 378 453 528 603 678 753 828 903 978 1053 1128
(((((x * 2) * 2) div ((x div (2 + 2)) + 1)) + 1) mod (2 + 1))
A321103: 1 2 0 1 0 2 1 0 2 1 2 0 1 2 0 1
(((((x * 2) * 2) div ((x div (2 + 2)) + 1)) - 1) mod (2 + 1))
A321090: 2 0 1 2 1 0 2 1 0 2 0 1 2 0 1 2
(((1 - (x * x)) mod (((2 + 2) * (2 + 1)) - 1)) mod (2 + 1))
A287112: 1 0 2 0 1 0 0 1 0 2 0 1 0 2 0 1
(1 - (((x * 2) div (((2 - x) mod (2 + 1)) + 1)) mod (2 + 1)))
A016286-A016232-A015998-A015962-A015890-A015836-A015692-A015458-A015296-A015206-A015080-A014828-A014702-A014018-A011648-A011638: 1 0 0 ~1 0 0 0 0 0 1 0 0 ~1 0 0 0
(x - (((((2 - x) * x) * (x div (2 + 1))) - 1) div (2 + 1)))
A048278: 1 2 3 5 7 11 23
(x div ((2 - ((x div 2) mod ((x mod (2 + 1)) + 1))) + (2 + 1)))
A079056: 0 0 0 0 0 1 1 1 2 1 2 3 2 2 3 3
(((((((x + 2) * 2) * 2) + x) * (x + 1)) + 1) div (2 + 1))
A194114: 3 9 18 31 47 66 89 115 144 177 213 252 295 341 390 443
(((x * x) - ((x div (2 + 1)) div ((0 - 2) - 1))) mod (2 + 1))
A234538: 0 1 1 1 2 2 1 2 2 1 2 2 2 0 0 2
((x mod (((x + 1) mod 2) - (x div ((0 - 2) - 1)))) mod (2 + 1))
A239246: 0 0 0 0 1 1 0 1 0 0 0 0 2 0 2 0
((((x * x) * (x + 1)) mod (((2 + 1) * 2) + 1)) div (2 + 1))
A344120: 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0
((x - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) mod (2 + 1))
A189463: 0 1 2 2 0 1 1 2 0 1 1 2 0 0 1 2
((x - (((x + 1) div 2) mod (((2 + 1) * 2) + 1))) div (2 + 1))
A035661: 0 0 0 0 0 0 1 1 1 1 1 1 2 4 4 4
(((((2 + 1) * x) - 2) mod (((2 + 1) * 2) + 1)) div (2 + 1))
A287234: 1 0 1 0 1 2 0 1 0 1 0 1 2 0 1 0
((((x * x) * (x + 2)) mod (((2 + 1) * 2) + 1)) div (2 + 1))
A327183: 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1
((((x * x) * (2 - x)) mod (((2 + 1) * 2) + 1)) div (2 + 1))
A274950: 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0
(((x * 2) div ((x div ((x mod (2 + 1)) + 2)) + 1)) mod (2 + 1))
A321100: 0 2 1 0 1 2 0 1 2 0 2 1 0 2 1 0
(((((((2 + 1) * x) + 2) * (x + 1)) div 2) + 1) * (2 + 1))
A129863: 6 18 39 69 108 156 213 279 354 438 531 633 744 864 993 1131
(x - ((((((2 - x) div 2) * (x + 1)) div 2) - 1) div (2 + 1)))
A095037: 1 2 3 4 6 8 9 12 13 16 18
(((((2 + 2) * 2) * 2) mod (((x + 1) div 2) + 1)) div (2 + 1))
A095731: 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2
(x - ((((x div 2) + x) div (((0 - 2) - 2) - 1)) * (2 + 1)))
A246441: 0 4 5 6 10 11 12 13 17 18 19 23 24 25 29 30
(((((((x div (2 + 2)) + x) + 1) * 2) * 2) + 1) * (2 + 1))
A096022: 15 27 39 51 75 87 99 111 135 147 159 171 195 207 219 231
((2 - ((x div ((x mod ((0 - 2) - 2)) - 2)) - 1)) div (2 + 1))
A143999: 1 1 1 1 1 1 1 2 2 1 2 2 3 2 2 2
((x * x) mod ((((((2 + 2) * 2) * 2) * 2) + 1) * (2 + 1)))
A277342: 0 1 4 9 16 25 36 49 64 81 1 22 45 70 97 27
(((x * x) * (x * x)) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070570: 0 1 16 0 13 4 0 25 19 0 10 7 0 22 22 0
(x - (((((x + 1) * x) div ((2 + 2) * 2)) - 1) div (2 + 1)))
A253548: 1 2 3 3 4 5 5 5 6 6 6 6 6 6 6 6
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) mod (2 + 1))
A204267: 0 1 1 2 2 2 0 0 0 0 1 1 1 1 1 2
((((x - 1) * x) div ((((x div 2) + 2) + 2) + 1)) mod (2 + 1))
A267602: 0 0 0 1 1 2 0 2 0 2 0 2 0 2 0 2
(1 - (((x * x) mod ((((x mod 2) + 2) * 2) + 1)) div (2 + 1)))
A093578: 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1 1
((x - ((((x div (2 + 1)) + 1) mod (2 + 2)) - 1)) mod (2 + 1))
A287451: 0 1 2 2 0 1 1 2 0 1 2 0 0 1 2 2
((x - ((2 - (x div (2 + 1))) mod ((2 + 2) + 1))) mod (2 + 1))
A090193: 1 2 0 2 0 1 0 1 2 2 0 1 0 1 2 1
(2 - (x - ((((x * 2) - 1) div ((2 + 2) + 1)) * (2 + 1))))
A194508: ~1 1 0 2 1 0 2 1 3 2 1 3 2 4 3 2
((1 - (((2 - x) * (x - 1)) div ((2 + 2) + 1))) div (2 + 1))
A211543: 0 0 0 0 1 1 1 2 3 4 5 6 7 9 11 12
((2 - (x - ((x div (0 - 2)) mod ((2 + 2) + 1)))) div (2 + 1))
A332383: 0 1 1 0 0 ~1 ~1 ~2 ~2 ~3 ~3 ~2 ~2 ~3 ~3 ~4
((x - ((2 - (x div (2 + 2))) mod ((2 + 2) + 1))) mod (2 + 1))
A054528: 1 2 0 1 0 1 2 0 2 0 1 2 2 0 1 2
(x - ((((x div 2) - (x * 2)) div ((2 + 2) + 1)) * (2 + 1)))
A026312: 0 4 5 6 10 11 12 16 17 18 19 23 24 25 29 30
((x - ((((1 - x) * x) div 2) * ((2 + 2) + 1))) * (2 + 1))
A152773: 0 3 21 54 102 165 243 336 444 567 705 858 1026 1209 1407 1620
((1 - (x mod (2 - ((2 - x) div ((2 + 2) + 1))))) mod (2 + 1))
A166347: 1 0 1 1 0 2 1 0 1 0 2 1 1 1 0 1
((((((x div 2) + x) div 2) * x) mod ((2 + 2) + 1)) div (2 + 1))
A011674: 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0
(((((x + 2) * x) div 2) + (x div ((2 + 2) + 1))) div (2 + 1))
A024172: 0 0 1 2 4 6 8 10 13 16 20 24 28 33 38 43
(((x + 1) * 2) - ((x - (x div ((2 + 2) + 1))) div (2 + 1)))
A081223: 2 4 6 7 9 11 13 14 16 18 20 21 23 25 26 28
(1 - (((x mod 2) - ((x * x) div ((2 + 2) + 1))) div (2 + 1)))
A029063: 1 1 1 1 2 3 4 4 5 6 8 9 11 12 14 16
(((((x div ((2 + 2) + 1)) + x) * (2 + 2)) + 1) div (2 + 1))
A047601: 0 1 3 4 5 8 9 11 12 13 16 17 19 20 21 24
((1 - (((x * 2) * 2) div ((x div (2 + 2)) + 1))) mod (2 + 1))
A321104: 1 0 2 1 2 0 1 2 0 1 0 2 1 0 2 1
(((((x div (2 + 1)) * x) * (x div (2 + 2))) + 1) mod (2 + 1))
A145171: 1 1 1 1 2 0 1 0 0 1 1 1 1 1 1 1
((((x * x) - (x div 2)) * (((x + 2) + 2) + 1)) + (2 + 1))
A118771: 3 9 24 67
((((x - ((x div 2) mod 2)) mod ((x div 2) + 2)) + 1) div (2 + 1))
A033101: 0 0 0 1 0 0 0 0 1 1 1 1 1 2 1 2
(((x * x) - ((1 - (x div (2 + 1))) div (2 + 1))) mod (2 + 1))
A024693: 0 1 1 0 1 1 1 2 2 1 2 2 1 2 2 2
((x - (((x mod ((2 + 2) * 2)) * 2) div (2 + 1))) div (2 + 1))
A102680-A093390: 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3
(((x * x) * (x * x)) mod (((2 + 2) * (2 + 1)) * (2 + 1)))
A070579: 0 1 16 9 4 13 0 25 28 9 28 25 0 13 4 9
((x - (((((2 - x) div 2) * x) div 2) div (2 + 1))) div (2 + 1))
A183003: 0 0 0 1 1 2 2 3 4 5 5 7 7 8 9 11
((((((x * 2) * 2) + 1) mod (x + 2)) div (2 + 1)) mod (2 + 1))
A237452: 0 0 0 1 1 0 0 0 1 1 1 2 2 2 0 0
(x - (((1 - x) - (((x * x) div 2) div (2 + 1))) div (2 + 1)))
A135251: 0 1 3 4 6 8 10
A156624: 0 1 3 4 6 8 10 12 14 16 19 21 24 27 29 32
(1 - (((x div ((0 - 2) - 1)) * (x div (2 + 1))) div (2 + 1)))
A029061: 1 1 1 2 2 2 3 3 3 4 5 5 7 8 8 10
(1 - ((((1 - x) div (2 + 1)) * (x div (2 + 1))) div (2 + 1)))
A029062: 1 1 1 2 2 2 3 3 3 4 4 5 7 7 8 10
(((x + 1) div (2 + 1)) - ((1 - (x div (2 + 1))) div (2 + 1)))
A189641: 0 0 1 1 1 2 3 3 4 4 4 5 5 5 6 7
(((x * x) div (((0 - x) - 1) - (x div (2 + 1)))) mod (2 + 1))
A060582: 0 2 1 1 0 2 2 1 0 2 1 0 0 2 1 1
(((((2 + 2) * 2) * (x + 1)) + (x div (2 + 1))) div (2 + 1))
A330112-A206911: 2 5 8 11 13 16 19 22 24 27 30 33 36 38 41 44
(((x + 1) * (2 + 1)) - ((x - (x div (2 + 1))) div (2 + 1)))
A226894: 3 6 9 12 14 17 20 23 25 28 31 34 37 39 42 45
((((x * x) div 2) - (((2 - x) * x) div (2 + 1))) div (2 + 1))
A194207: 0 0 0 1 3 5 8 12 16 20 25 31 37 44 51 59
(((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1) * (2 + 1))
A128012: 3 3 6 9 12 15 21 24 30 36 42 48 57 63 72 81
(x - (((((x div ((2 + 2) * 2)) - x) * 2) - 1) div (2 + 1)))
A193715: 1 2 4 6 7 9 11 12 13 15 17 18 20 22 23 25
((x * 2) - ((((((x div 2) mod 2) + x) div 2) - 1) div (2 + 1)))
A027440: 1 3 4 6 8 10 12
A169864: 1 3 4 6 8 10 12 13 15 17 19 21 23 25 26 28
((((((x + 1) mod (2 + 1)) + x) * (x + 2)) + 1) div (2 + 1))
A068626: 1 3 3 7 12 12 19 27 27 37 48 48 61 75 75 91
(((1 div ((x * x) - (2 + 1))) * ((x * 2) + 1)) + (2 + 1))
A212832: 2 0 8 3 3 3 3 3 3 3 3 3 3 3 3 3
(((((x + 2) + 1) * (2 + 1)) mod ((x div 2) + 1)) mod (2 + 1))
A118917: 0 0 1 0 0 0 0 2 0 1 0 0 0 0 0 0
(((((2 + 2) * (x + 1)) + x) div ((x div 2) + 1)) mod (2 + 1))
A039970: 1 0 1 0 2 0 2 0 2 0 0 0 0 0 0 0
(((((x * x) div ((2 + 2) * 2)) + (x mod 2)) + 1) div (2 + 1))
A309687: 0 0 0 1 1 1 1 2 3 4 4 5 6 7 8 10
(((((x + 1) * x) div 2) * (((x * x) * 2) + 1)) div (2 + 1))
A071238: 0 1 9 38 110 255 511 924 1548 2445 3685 5346 7514 10283 13755 18040
(((((x - 1) * x) div 2) * (((x * x) * 2) + 1)) div (2 + 1))
A071245: 0 0 3 19 66 170 365 693 1204 1956 3015 4455 6358 8814 11921 15785
(1 - ((((((x div (0 - 2)) mod 2) + 1) * x) + 1) mod (2 + 1)))
A280261: 0 1 ~1 0 ~1 ~1 0 ~1 1 0 1 1 0 1 ~1 0
(((((x - 1) * x) div 2) * (((x - 1) * x) + 1)) div (2 + 1))
A006325: 0 0 1 7 26 70 155 301 532 876 1365 2035 2926 4082 5551 7385
((((((x * 2) mod ((x div 2) + 2)) mod 2) * x) + 1) div (2 + 1))
A308225: 0 0 1 0 0 0 0 0 0 0 0 4 0 0 5 5
(((((((x * 2) + 1) * 2) * 2) + 1) * (x + 1)) * (2 + 1))
A180579: 15 78 189 348 555 810 1113 1464 1863 2310 2805 3348 3939 4578 5265 6000
((((((x div 2) * (x div 2)) div 2) + 1) * (x + 1)) mod (2 + 1))
A240668: 1 2 0 1 0 0 2 1 0 0 2 0 1 2 0 1
((((((x mod (2 + 1)) div 2) + 2) + 2) * (x + 1)) div (2 + 1))
A117899: 1 2 5 5 6 10 9 10 15 13 14 20 17 18 25 21
(((((x + 2) * x) * ((2 + 2) * 2)) * (x + 1)) * (2 + 1))
A180413: 0 144 576 1440 2880 5040 8064 12096 17280 23760 31680 41184 52416 65520 80640 97920
(((((x + 2) * x) * ((2 + 2) * 2)) * (x + 1)) div (2 + 1))
A102860: 0 16 64 160 320 560 896 1344 1920 2640 3520 4576 5824 7280 8960 10880
(((x mod (((2 - x) div (2 + 2)) - 2)) * (x + 1)) mod (2 + 1))
A284394: 0 1 0 0 2 0 0 1 0 0 2 0 0 2 0 0
(1 - (x - (((((2 + 1) * x) + 2) * (x + 1)) * (2 + 1))))
A086640: 7 30 71 130 207 302 415 546 695 862 1047 1250 1471 1710 1967 2242
((((((x + 2) + 2) + 2) * (x + 2)) * (x + 1)) div (2 + 1))
A159920: 4 14 32 60 100 154 224 312 420 550 704 884 1092 1330 1600 1904
(x - (((x div 2) * x) - (((x + 2) * (x + 1)) * (2 + 1))))
A010899: 6 19 36 60
((x div (((2 + 2) * (2 + 1)) - 1)) + ((x + 1) * (2 + 1)))
A059563: 3 6 9 12 15 18 21 24 27 30 33 37 40 43 46 49
(((x + 1) div (((2 + 1) * 2) + 1)) + ((x + 1) * (2 + 1)))
A248524-A138252-A110117: 3 6 9 12 15 18 22 25 28 31 34 37 40 44 47 50
(((x div 2) mod ((x div (2 + 2)) + 1)) + ((x + 1) * (2 + 1)))
A028251: 3 6 9 12 15 18 22 25 28 31 35 38 41 44 48 51
(((x - (x div (2 + 1))) div (2 + 1)) + ((x + 1) * (2 + 1)))
A194146: 3 6 9 12 16 19 22 25 29 32 35 38 41 45 48 51
((((2 - x) * x) div ((x + 2) + 1)) + ((x + 1) * (2 + 1)))
A248567: 3 6 9 11 13 16 18 20 22 24 26 28 31 33 35 37
(((x - ((x div 2) div (2 + 1))) div 2) + ((x + 1) * (2 + 1)))
A189795: 3 6 10 13 17 20 23 27 30 34 37 41 44 47 51 54
(((x - ((x div (2 + 1)) mod 2)) div 2) + ((x + 1) * (2 + 1)))
A190007: 3 6 10 13 16 20 24 27 31 34 37 41 45 48 52 55
(((((x * x) * x) div (x + 2)) div 2) + ((x + 1) * (2 + 1)))
A140949: 3 6 10 14 20 26 34 43 52 63 74 87 100 115 130 147
((((((x * 2) + 1) * 2) * 2) + x) * ((x + 1) * (2 + 1)))
A304503: 12 78 198 372 600 882 1218 1608 2052 2550 3102 3708 4368 5082 5850 6672
((x + 2) - (((1 - x) div (2 + 1)) * ((x + 1) div (2 + 1))))
A339267: 2 3 5 6 7 11 12 13 19 20 21 29 30 31 41 42
(((((x + 1) * x) mod (2 + 1)) + x) - ((x + 1) div (2 + 1)))
A272071: 0 3 1 2 5 3 4 7 5 6 9 7 8 11 9 10
((((((2 + 2) * (x + 1)) + 1) * x) * (x + 1)) div (2 + 1))
A135036: 0 6 26 68 140 250 406 616 888 1230 1650 2156 2756 3458 4270 5200
(((((((2 + 2) + 1) * x) + 1) * x) * (x + 1)) div (2 + 1))
A174814: 0 4 22 64 140 260 434 672 984 1380 1870 2464 3172 4004 4970 6080
((x mod 2) - (x - ((((x + 2) * x) * (x + 1)) div (2 + 1))))
A064842: 0 2 6 18 36 66 106 162 232 322 430 562 716 898 1106 1346
((((((2 + 2) * (x + 1)) + x) * x) * (x + 1)) div (2 + 1))
A144945: 0 6 28 76 160 290 476 728 1056 1470 1980 2596 3328 4186 5180 6320
(x - (((((x div 2) + 1) mod (2 + 1)) - (x - 1)) div (2 + 1)))
A047490-A039072: 0 1 2 3 5 7 8 9 10 11 13 15 16 17 18 19
((((x div (2 - ((x div 2) mod 2))) + 2) * (x - 1)) mod (2 + 1))
A309847: 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1
(((((x + 2) * x) + 2) * (2 + 1)) + ((x - 1) div (2 + 1)))
A010898: 5 15 30 51 79
((((x + 2) * 2) - (x mod (2 + 1))) + ((x - 1) div (2 + 1)))
A283051: 3 5 6 10
A028727: 3 5 6 10 12 13
A047327: 3 5 6 10 12 13 17 19 20 24 26 27 31 33 34 38
(((((x div (2 + 1)) + x) + 1) * 2) - ((x - 1) div (2 + 1)))
A047296: 3 4 6 10 11 13 17 18 20 24 25 27 31 32 34 38
(((((x div (2 + 1)) + x) + 2) * 2) - ((x - 1) mod (2 + 1)))
A047552: 2 6 7 10 14 15 18 22 23 26 30 31 34 38 39 42
(((((((x - 1) * x) div 2) + 2) * x) * (x - 1)) div (2 + 1))
A103290: 0 0 2 10 32 80 170 322 560 912 1410 2090 2992 4160 5642 7490
(((x + 2) * 2) - ((((2 - x) * x) * (x - 1)) div (2 + 1)))
A078785-A053016: 4 6 8 12 20
A136254: 4 6 8 12 20 34 56 88 132 190 264 356 468 602 760 944
((((((2 + 1) * x) + 2) * x) * ((x * x) - 1)) div (2 + 1))
A035291: 0 0 16 88 280 680 1400 2576 4368 6960 10560 15400 21736 29848 40040 52640
(((x div (2 + 2)) + 2) div (2 - (x mod ((0 - 2) * (2 + 1)))))
A025881: 1 0 0 0 0 1 1 0 0 0 1 1 2 0 0 1
(((x - ((x div (((2 + 1) * 2) + 1)) - 1)) * 2) div (2 + 1))
A302255: 0 1 2 2 3 4 4 4 5 6 6 7 8 8 8 9
(((((x * 2) - ((x - 2) div (2 + 1))) + 1) * 2) * (2 + 1))
A328587: 12 24 30 42 54 60 72 84 90 102 114 120 132 144 150 162
(((((x - ((x div 2) div (0 - 2))) * 2) + 1) * 2) * (2 + 1))
A286308-A074837: 6 18 42 54 66 78 102 114 126 138 162 174 186 198 222 234
(1 - ((((x * 2) div (((0 - 2) - 2) - 1)) * 2) div (2 + 1)))
A097688: 1 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5
(x - ((((x * 2) div (((0 - 2) - 2) - 1)) * 2) div (2 + 1)))
A242485: 0 2 3 5 6 7 8 9 11 12 13 15 16 17 18 19
((((x - (2 + 1)) mod (((2 + 2) * 2) + 1)) div 2) mod (2 + 1))
A006997: 0 0 1 0 0 1 1 2 2 0 0 1 0 0 1 1
(1 - (x - (((x - (x div ((2 + 2) + 1))) * 2) * (2 + 1))))
A080783: 1 6 11 16 21 20 25 30 35 40 39 44 49 54 59 58
((((((x div (2 + 2)) * x) div (2 + 2)) + 1) * 2) div (2 + 1))
A145814: 0 0 0 0 1 1 1 1 3 3 4 4 6 6 7 8
(x - (((x div 2) - (((x div (2 + 2)) + 1) div 2)) * (2 + 1)))
A065359: 0 1 ~1 0 1 2 0 1 ~1 0 ~2 ~1 0 1 ~1 0
(x - ((((((x div 2) - (x * 2)) * 2) - 1) * 2) * (2 + 1)))
A306331: 6 31 44 69 82 107 120 145 158 183 196 221 234 259 272 297
(((((((x mod 2) + 2) * x) + 1) * (2 + 1)) div 2) * (2 + 1))
A174029: 3 18 21 45 39 72 57 99 75 126 93 153 111 180 129 207
(((2 - (x - (((x * 2) * 2) * (2 + 1)))) * 2) * (2 + 1))
A139612: 12 78 144 210 276 342 408 474 540 606 672 738 804 870 936 1002
(x - (2 - (((((x div 2) + 2) * (2 + 1)) + 2) * (2 + 1))))
A118297: 22 23 33 34 44 45 55 56 66 67 77 78 88 89 99 100
((((((x * x) * 2) - (x div 2)) div (2 + 1)) + 2) div (2 + 1))
A183144: 0 0 1 2 4 6 8 11 14 18 22 27 32 37 43 49
(((x * 2) - (x mod (((x div 2) mod (2 + 1)) + 2))) mod (2 + 1))
A101673: 0 1 2 0 2 0 0 1 2 0 0 1 0 1 2 0
(x - ((x - (2 + 1)) div (x - (((2 + 1) * 2) * (2 + 1)))))
A326947: 0 1 2 3 5 6 7 8 9 10 11 13 14 15 17 19
(((2 - (x * x)) * (x * x)) mod (((2 + 1) * 2) * (2 + 1)))
A070641: 0 1 10 9 10 1 0 1 10 9 10 1 0 1 10 9
((((x * x) * x) * (x * x)) mod (((2 + 1) * 2) * (2 + 1)))
A070602: 0 1 14 9 16 11 0 13 8 9 10 5 0 7 2 9
(((x + 2) div (2 + 1)) - (((x div (2 + 1)) * 2) div (2 + 1)))
A160384: 0 1 1 1 2 2 1 2 2 1 2 2 2 3 3 2
((((((x div ((2 + 2) + 1)) + x) * 2) + 1) * 2) div (2 + 1))
A047418: 0 2 3 4 6 8 10 11 12 14 16 18 19 20 22 24
(((((x * x) - (2 + 2)) * ((x + 2) + 1)) div 2) div (2 + 1))
A129936: ~2 ~2 0 5 14 28 48 75 110 154 208 273 350 440 544 663
(x div (((((x * x) * 2) mod ((x div 2) + 1)) + 2) * (2 + 1)))
A198316: 0 0 0 0 0 0 1 0 0 0 0 0 1 1 2 1
((x div 2) - (x - (((((x div 2) + x) + 1) * 2) * (2 + 1))))
A155449: 6 11 23 28 40 45 57 62 74 79 91 96 108 113 125 130
((((((x * x) * (x + 1)) div 2) * (x + 1)) div 2) * (2 + 1))
A297662: 0 3 27 108 300 675 1323 2352 3888 6075 9075 13068 18252 24843 33075 43200
((((((x + 2) * x) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A004320: 0 3 16 50 120 245 448 756 1200 1815 2640 3718 5096 6825 8960 11560
((((((x * x) * x) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A119771: 0 1 16 90 320 875 2016 4116 7680 13365 22000 34606 52416 76895 109760 153000
((((2 + 2) div (x + 2)) mod 2) + (((x + 1) * 2) * (2 + 1)))
A013575: 6 13 19 24 30 36 42 48 54 60 66 72 78 84 90
((((2 mod (x + 1)) + x) + 2) + (((x + 1) div 2) div (2 + 1)))
A028733: 2 3 6 7 8 10 11 12 13 14 15 17 18 19
((((2 + 2) * (x + 1)) + x) - (((x + 1) div 2) div (2 + 1)))
A197878: 4 9 14 19 24 28 33 38 43 48 53 57 62 67 72 77
((((x div 2) mod (2 + 1)) div 2) + (((x + 1) div 2) mod (2 + 1)))
A079343: 0 1 1 2 3 1 0 1 1 2 3 1 0 1 1 2
((((((2 + 2) * (x + 1)) + x) * (x + 1)) div 2) * (2 + 1))
A167469: 6 27 63 114 180 261 357 468 594 735 891 1062 1248 1449 1665 1896
(((((((x div 2) + 2) + 2) * x) div (x + 1)) * 2) div (2 + 1))
A162351: 0 1 2 2 2 3 4 4 4 4 5 5 6 6 6 6
(((((((2 + 2) * 2) + x) * x) * (x + 1)) div 2) div (2 + 1))
A006503: 0 3 10 22 40 65 98 140 192 255 330 418 520 637 770 920
(((((x mod ((x div 2) + 2)) div 2) * (x - 1)) div 2) mod (2 + 1))
A236511-A235924: 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0
(((x + 2) * (x + 1)) - ((((x * x) - 1) div 2) div (2 + 1)))
A101423: 3 6 12 19 28 38 51 64 80 97 116 136 159 182 208 235
(0 - (x div (((x mod ((2 + 2) * (0 - 2))) - 2) * (2 + 1))))
A270992-A083382: 0 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2
((x + 1) mod (((2 - ((x div 2) div (0 - 2))) * 2) div (2 + 1)))
A199238: 0 0 1 0 1 0 1 0 1 0 2 0 1 2 3 0
((1 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) mod (2 + 1))
A230630: 0 1 1 2 2 2 2 0 0 0 0 0 0 0 0 1
(((((x * 2) - (x mod ((0 - 2) - 1))) * 2) * 2) div (2 + 1))
A047437: 0 5 6 8 13 14 16 21 22 24 29 30 32 37 38 40
(((x - (x div ((x mod ((0 - 2) - 1)) - 2))) + 2) div (2 + 1))
A140473: 0 1 1 2 2 3 3 3 4 5 5 5 6 6 7 8
((x - (((x div (((0 - 2) - 2) - 1)) * 2) * 2)) div (2 + 1))
A230413: 0 1 2 2 2 3 4 5 5 5 6 7 8 8 8 9
((((x - (x div (((0 - 2) - 2) - 1))) * 2) * 2) div (2 + 1))
A047434: 0 2 4 5 6 8 10 12 13 14 16 18 20 21 22 24
((((x - ((1 - x) div ((2 + 2) + 1))) * 2) * 2) div (2 + 1))
A047432: 0 1 4 5 6 8 9 12 13 14 16 17 20 21 22 24
((((x - ((2 - x) div ((2 + 2) + 1))) * 2) * 2) div (2 + 1))
A192225: 0 1 2 5
A047442: 0 1 2 5 6 8 9 10 13 14 16 17 18 21 22 24
((((x - 1) mod (((x div (2 + 2)) + 1) * 2)) + 2) div (2 + 1))
A025819: 1 0 1 0 1 0 1 1 1 1 1 2 1 2 2 2
(((((x div 2) - ((x - 1) div (2 + 1))) * 2) * 2) div (2 + 1))
A025801: 1 0 1 1 1 1 2 1 2 2 2 2 4 2 4 4
((x - (x mod ((((x div 2) div (2 + 1)) - 2) - 2))) div (2 + 1))
A071996: 0 1 1 1 1 2 2 3 3 3 4 4 4 4 4 5
((x - (x div ((((x div 2) mod (2 + 1)) - 2) - 2))) div (2 + 1))
A194223: 0 0 1 1 2 2 2 3 3 4 5 5 5 5 6 6
((((((x + 1) * 2) - (x mod (2 + 1))) * 2) * 2) div (2 + 1))
A047611: 2 4 5 10 12 13 18 20 21 26 28 29 34 36 37 42
((((x div ((2 + 2) - (x mod (2 + 1)))) + 2) * 2) div (2 + 1))
A320510: 1 1 2 1 2 2 2 2 4 2 3 4 3 4 6 3
(((((((x div (2 + 2)) * x) div 2) + 1) div 2) * 2) * (2 + 1))
A161418: 0 0 0 0 6 6 12 12 24 30
((((((x + 1) div 2) * ((x + 2) + 1)) div 2) div 2) div (2 + 1))
A309683: 0 0 0 1 1 2 2 3 3 5 5 7 7 9 9 12
((((((x div ((2 + 2) + 1)) + x) + 1) * 2) * 2) div (2 + 1))
A047435: 1 2 4 5 6 9 10 12 13 14 17 18 20 21 22 25
(1 - (x - ((((((x div 2) + x) + 1) div 2) div 2) * (2 + 1))))
A110658: 1 0 2 1 0 2 1 0 2 1 3 2 1 3 2 1
((((((x * x) * (2 + 2)) div (x + 1)) + 2) * 2) div (2 + 1))
A065027: 1 2 4 7 9 12 14 17 20 22 25 28 30 33 36 38
((((((x div 2) + x) + 1) * ((x + 1) div 2)) div 2) * (2 + 1))
A117748: 0 3 6 15 21 36 45 66 78 105 120 153 171 210 231 276
((x - ((x * 2) div ((x div ((0 - 2) - 2)) - 2))) - (2 + 1))
A035254: ~3 ~1 1 2 4 5 6 8 9 10 11 13 14 15 16 17
(((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2) div (2 + 1))
A011842: 0 0 0 0 1 2 5 8 14 21 30 41 55 71 91 113
((((x - (x div ((x div (0 - 2)) - 2))) * 2) * 2) div (2 + 1))
A171946: 0 2 4 5 6 8 10 12 13 14 16 17 18 20 21 22
(((x * x) mod (((((x + 1) div 2) div 2) + 2) + 2)) mod (2 + 1))
A342689-A092921-A090824-A060959: 0 1 0 1 1 0 1 1 1 0 1 2 1 1 0 1
(((x - (((2 - x) div ((2 + 2) * 2)) * 2)) + 2) div (2 + 1))
A320063: 0 1 1 2 2 3 3 3 4 4 4 5 6 6 6 7
(((((x * x) mod ((x div (2 + 2)) + 2)) div 2) + 2) * (2 + 1))
A082510: 6 6 6 6 6 6 6 6 6 6 6 6 12 12 6 6
(((((2 - x) mod ((x mod (2 + 2)) + 2)) div 2) * 2) mod (2 + 1))
A045838-A045837: 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 2
(0 - ((x * x) div (((1 - ((2 + 2) * 2)) * 2) * (2 + 1))))
A174575: 0 1 1 1 1 1 1 2 2 2 3 3 4 5 5 6
(((x * x) * (x * x)) mod ((((2 + 2) * 2) * 2) * (2 + 1)))
A070591: 0 1 16 33 16 1 0 1 16 33 16 1 0 1 16 33
(x mod (((((x + 1) * x) mod ((2 + 2) * 2)) + 2) * (2 + 1)))
A337223: 0 1 2 3 4 5 6 1 2 9 10 11 12 13 2 3
(((x - (((x div 2) * x) mod ((2 + 2) * 2))) div 2) div (2 + 1))
A070104-A024156: 0 0 0 0 0 0 0 0 1 0 1 0 2 1 2 2
((((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2)) mod (2 + 1))
A204263: 2 0 0 1 1 1 2 2 2 2 0 0 0 0 0 1
(((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) mod (2 + 1))
A204433: 0 2 2 1 1 1 0 0 0 0 2 2 2 2 2 1
(((((((x div 2) + 2) * (x div 2)) div 2) + 2) * 2) div (2 + 1))
A001364: 1 1 2 2 4 4 6 6 9 9 12 12 17 17 22 22
(0 - (((x + 2) * x) div ((1 - ((2 + 2) * 2)) * (2 + 1))))
A096911: 0 1 1 1 2 2 3 3 4 5 6 7 8 10 11 13
(x div (1 - (x mod ((x div 2) - (((2 + 2) * 2) * (2 + 1))))))
A345166: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5
(((((x * x) div (2 + 1)) * x) mod ((2 + 2) * 2)) div (2 + 1))
A244518: 0 0 0 0 1 0 0 0 0 1 0 0 0 0 2 1
(x - ((((1 - (x * x)) * x) * ((2 + 2) * 2)) div (2 + 1)))
A063523: 0 1 18 67 164 325 566 903 1352 1929 2650 3531 4588 5837 7294 8975
(1 - (((x - (((x - 1) * x) div (2 + 2))) div 2) div (2 + 1)))
A120170: 1 1 1 1 1 1 2 2 2 3 3 4 5 6 7 8
((((x div 2) + 1) div 2) - (((x div (2 + 2)) mod 2) * (2 + 1)))
A318439: 0 0 1 1 ~2 ~2 ~1 ~1 2 2 3 3 0 0 1 1
((x - ((((1 - x) * x) - (x mod (2 + 2))) div 2)) div (2 + 1))
A087539: 0 0 1 2 3 5 7 10 12 15 18 22 26 30 35 40
((2 - (x div (((((x div 2) * x) mod 2) - 2) * 2))) div (2 + 1))
A097637: 0 1 1 1 1 1 1 2 1 1 1 2 1 2 2 3
(((((1 - ((x mod 2) * 2)) * (x + 2)) div 2) + 2) div (2 + 1))
A187035: 1 0 1 ~1 1 ~1 2 ~1 2 ~2 2 ~2 3 ~2 3 ~3
(1 - ((((((1 - x) div 2) * (x div 2)) div 2) * 2) div (2 + 1)))
A040039: 1 1 2 2 3 3 5 5 7 7 10 10 13 13 18 18
((2 - (((2 - x) * x) div (((x div 2) + 2) + 2))) div (2 + 1))
A060970: 0 0 0 1 1 1 2 2 2 3 3 4 4 5 6 6
(1 - ((((2 - x) * x) div (((x div 2) + 2) + 2)) div (2 + 1)))
A199017: 1 1 1 2 2 2 3 3 3 4 4 5 5 6 7 7
(1 - (((0 - (((x * x) + (x div 2)) div 2)) div 2) div (2 + 1)))
A029015: 1 1 2 2 3 4 5 6 7 8 10 12 14 16 18 21
((x mod (((x mod ((2 + 2) + 1)) + 1) * (2 + 2))) mod (2 + 1))
A101672: 0 1 2 0 1 1 0 1 2 0 2 0 0 1 2 0
((x div 2) - ((((1 - x) * (x - 1)) div (2 + 2)) div (2 + 1)))
A008806: 1 0 2 2 3 4 6 6 9 10 12 14 17 18 22 24
(((x + 2) * 2) - (((x + 2) + 1) mod ((2 + 2) * (2 + 1))))
A062998: 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28
(x - (((2 + 2) * (x + 1)) div (1 - ((2 + 2) * (2 + 1)))))
A292636-A279607: 1 2 4 5 6 8 9 10 12 13 14 16 17 19 20 21
(x - ((x + 2) div (((x - 1) div 2) - ((2 + 2) * (2 + 1)))))
A331914-A328369-A324935-A209638-A207674-A123345-A093641: 1 2 3 4 5 6 7 8 10 11 12 13 14 16 17 19
(((x * 2) div ((x div 2) + 2)) - (x div ((2 + 2) * (2 + 1))))
A081326: 0 1 1 2 2 2 2 2 2 3 2 3 2 2 2 2
(((((x + 1) div ((2 + 2) + 1)) + x) * (2 + 2)) div (2 + 1))
A047412: 0 1 2 4 6 8 9 10 12 14 16 17 18 20 22 24
((x - (((x div ((2 + 2) + 1)) - x) * (2 + 2))) div (2 + 1))
A047330: 0 1 3 5 6 7 8 10 12 13 14 15 17 19 20 21
((((x - 1) mod ((2 + 2) + 1)) + (x div (2 + 2))) div (2 + 1))
A025862: 1 0 0 0 1 1 0 0 1 1 2 0 1 1 2 2
((((((x div 2) * x) mod 2) + 1) * (x div (2 + 2))) mod (2 + 1))
A334222: 0 0 0 0 1 1 1 2 2 2 2 1 0 0 0 0
(((((x - 1) * x) div 2) + ((x * x) * (2 + 2))) * (2 + 1))
A268351: 0 12 51 117 210 330 477 651 852 1080 1335 1617 1926 2262 2625 3015
(((x * x) * 2) - ((1 - ((x * x) div (2 + 2))) div (2 + 1)))
A256321: 0 2 8 19 33 52 75 102 133 169 208 252 300 352 408 469
(0 - ((((1 - x) * x) - ((x * x) div (2 + 2))) div (2 + 1)))
A002578: 0 0 1 3 6 9 13 18 24 31 39 47 56 66 77 89
(((((((x div 2) - 1) mod (2 + 1)) * x) div 2) mod 2) + (2 + 1))
A322347: 3 4 3 3 3 3 3 4 3 3 4 4 3 4 3 3
((((((x + 1) * x) + (2 + 1)) * (x + 2)) div 2) div (2 + 1))
A084570: 1 2 6 12 23 38 60 88 125 170 226 292 371 462 568 688
((((((x + 2) * (x + 2)) + 2) * (x + 2)) div 2) div (2 + 1))
A026035: 2 5 12 22 38 59 88 124 170 225 292 370 462 567 688 824
((((x div (((0 - 2) - 2) - 1)) + (x * 2)) * 2) div (2 + 1))
A239492: 0 0 2 3 4 6 6 8 9 10 12 12 14 15 16 18
(1 - (x - ((((x div 2) + 2) + ((x * 2) * 2)) * (2 + 1))))
A156619: 7 18 32 43 57 68 82 93 107 118 132 143 157 168 182 193
(1 - (((((x div (2 + 2)) mod 2) - (x div 2)) * 2) div (2 + 1)))
A071903: 1 1 2 2 2 2 3 3 4 4 5 5 5 5 5 5
((((x div 2) div (2 + 1)) mod 2) + (((x div 2) + 2) div (2 + 1)))
A266123: 0 0 1 1 1 1 2 2 3 3 3 3 2 2 3 3
(((x - ((x div 2) mod 2)) div 2) - (((x div 2) * 2) div (2 + 1)))
A275235: 0 0 0 1 1 1 0 1 2 2 1 2 2 2 2 3
((((x mod ((x div (2 + 2)) + 1)) + (x mod 2)) * 2) div (2 + 1))
A337541: 0 0 0 0 0 1 0 1 1 0 0 2 0 1 1 2
(((((x + 1) * x) div (2 + 1)) * ((x mod 2) + 2)) mod (2 + 1))
A292251: 0 0 1 0 0 0 1 0 0 0 0 0 2 0 2 0
(((((x div 2) + x) + 2) * (1 - ((x mod 2) * 2))) * (2 + 1))
A269416: 6 ~9 15 ~18 24 ~27 33 ~36 42 ~45 51 ~54 60 ~63 69 ~72
(((((((2 + 1) * x) * (2 + 1)) + 1) * x) * 2) * (2 + 1))
A277990: 0 60 228 504 888 1380 1980 2688 3504 4428 5460 6600 7848 9204 10668 12240
(2 - ((((x div (((2 + 2) * 2) + 1)) - x) * 2) div (2 + 1)))
A316627: 2 3 4 4 5 6 6 7 8 8 8 9 10 10 11 12
(x - (((((x * 2) div ((2 + 2) + 1)) - x) * 2) div (2 + 1)))
A047316: 0 2 4 5 6 7 9 11 12 13 14 16 18 19 20 21
((((((x * x) * x) * ((2 + 2) + 1)) + x) div 2) div (2 + 1))
A004068: 0 1 7 23 54 105 181 287 428 609 835 1111 1442 1833 2289 2815
(1 - ((x mod ((2 + 2) - (((x + 1) * x) div 2))) mod (2 + 1)))
A112214: 1 0 1 ~1 0 1 0 0 1 0 0 1 0 0 1 0
(x - ((((x mod (((2 + 2) + 1) * 2)) - x) * 2) * (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A024662: 0 1 2 3 4 5 6 7 8 9 70 71 72 73 74 75
(x - ((((x mod (((2 + 2) + 1) * 2)) - x) div 2) * (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A174141: 0 1 2 3 4 5 6 7 8 9 25 26 27 28 29 30
(1 - ((((((x div 2) div (2 + 1)) * 2) - x) * 2) div (2 + 1)))
A243351: 1 2 3 3 4 5 4 5 5 6 7 7 7 7 8 9
((((((((x div 2) mod 2) + x) + 1) div 2) * x) div 2) div (2 + 1))
A256984: 0 0 0 1 1 2 4 4 5 7 10
((x + 2) - ((((x mod ((2 + 2) * 2)) - x) - 2) * (2 + 1)))
A161639: 8 9 10 11 12 13 14 15 40 41 42 43 44 45 46 47
((x + 2) - ((((x mod ((2 + 2) * 2)) - x) div 2) * (2 + 1)))
A037344: 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28 29
((((((1 - (x div 2)) * (x div 2)) div 2) * x) div 2) mod (2 + 1))
A241910: 0 0 0 0 1 0 0 1 0 0 1 2 0 1 0 1
(((x + 1) div 2) - (((((x div 2) mod 2) * x) div 2) div (2 + 1)))
A335967: 0 1 1 2 2 3 2 3 4 5 4 5 6 7 5 6
(x - (((x mod 2) * 2) - ((((x + 2) * x) + 2) * (2 + 1))))
A199705: 6 14 32 52 82 114 156 200 254 310 376 444 522 602 692 784
(x - (((((1 - x) * (2 + 2)) + 1) * (x + 2)) * (2 + 1)))
A277982: ~30 ~8 38 108 202 320 462 628 818 1032 1270 1532 1818 2128 2462 2820
((((x mod 2) + x) div ((2 + 2) + 1)) + ((x + 2) div (2 + 1)))
A156261: 0 1 1 1 2 3 3 4 4 5 6 6 6 7 7 8
((x div (((x div (2 + 2)) + 2) + 2)) + ((x + 2) div (2 + 1)))
A189672: 0 1 1 1 2 3 3 4 4 4 5 5 5 6 7 7
(x - ((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))))
A025528: 0 1 2 3 4 4 5 6 7 7 8 8 9 9 9 10
(((((x div (2 + 2)) + 2) mod (2 + 2)) + (x * 2)) div (2 + 1))
A054633: 0 1 2 2 3 4 5 5 5 6 6 7 8 9 9 10
(x - ((x mod 2) - ((((x div 2) mod 2) + (x * 2)) * (2 + 1))))
A184549: 0 6 17 23 28 34 45 51 56 62 73 79 84 90 101 107
(((x * 2) div (((2 + 1) * 2) + 1)) + ((x * 2) * (2 + 1)))
A246295: 0 6 12 18 25 31 37 44 50 56 62 69 75 81 88 94
(((x * 2) div (((2 + 2) * 2) + 1)) + ((x * 2) * (2 + 1)))
A277723: 0 6 12 18 24 31 37 43 49 56 62 68 74 80 87 93
((2 - ((1 - x) div ((x div 2) + 1))) + ((x * 2) * (2 + 1)))
A274290: 1 8 15 21 27 34 40 46
(((2 + 1) * x) - ((x div (2 + 1)) - ((x * 2) mod (2 + 1))))
A047477: 0 5 7 8 13 15 16 21 23 24 29 31 32 37 39 40
((1 - (((x div (2 + 1)) mod 2) * 2)) * ((x * 2) mod (2 + 1)))
A132798: 0 2 1 0 ~2 ~1 0 2 1 0 ~2 ~1 0 2 1 0
((((x + 1) * x) div 2) - (((1 - x) * (x * 2)) * (2 + 1)))
A051867: 0 1 15 42 82 135 201 280 372 477 595 726 870 1027 1197 1380
((((((2 + 1) * x) + 2) * (2 + 1)) - (x div 2)) * (2 + 1))
A002798: 18 45 69 96 120 147 171 198 222 249 273 300 324 351 375 402
(x div (2 - ((((1 - x) mod (2 + 2)) - (x div 2)) div (2 + 1))))
A141070: 0 0 1 1 1 1 3 2 2 2 3 3 3 3 3 3
(((((x - 1) div 2) div (2 + 1)) + 1) * ((x div 2) div (2 + 1)))
A008737: 0 0 0 0 0 0 1 2 2 2 2 2 4 6 6 6
(((((2 + 1) * 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1)))
A187395: 7 14 21 28 35 42 50 57 64 71 78 85 93 100 107 114
(x - (((x - 2) div ((x div 2) + 2)) + ((x div 2) div (2 + 1))))
A261345: 1 2 2 3 4 5 5 5 6 7 8 9 9 10 11 12
((1 - (((x div 2) mod 2) * 2)) * (1 - ((x div 2) mod (2 + 1))))
A309970: 1 1 0 0 ~1 ~1 ~1 ~1 0 0 1 1 1 1 0 0
(((((x + 2) * x) div ((2 + 2) + 1)) + (x mod 2)) mod (2 + 1))
A178146: 0 1 1 1 1 2 0 1 1 2 0 2 0 1 2 1
(((x * x) + 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A201363: 2 3 7
A074742: 2 3 7 15 28 47 73 107 150 203 267 343 432 535 653 787
(((2 - x) * x) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A050407: 0 1 1 1 2 5 11 21 36 57 85 121 166 221 287 365
(((x * x) * x) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A004126: 0 1 9 31 74 145 251 399 596 849 1165 1551 2014 2561 3199 3935
(compr(\x.(1 - (x mod ((x div ((2 + 2) + 1)) + 1))),x) - (2 + 1))
A183858: 2 4 6 7 8 10 11 12 14 15 16 18 19 20 21 22
(((((x * x) div (((x + 2) + 2) + 1)) - 1) * x) mod (2 + 1))
A295819: 0 2 1 0 0 2 0 0 0 0 2 0 0 2 0 0
(1 - ((((x - 1) mod ((x div (2 + 1)) + 1)) - x) div (2 + 1)))
A209082: 1 2 2 2 2 3 3 4 4 4 4 4 5 5 5 6
(((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + x) + (2 + 1))
A175968: 3 4 5 7 8 9 10 11 13 14 15 16 17 18 19 21
(x - ((((x mod (((x div 2) mod 2) - 2)) - 1) - x) div (2 + 1)))
A285962: 1 2 3 5 6 8 9 10 11 13 14 15 17 18 19 21
((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1))
A053838: 0 1 2 1 2 0 2 0 1 1 2 0 2 0 1 0
(((1 - (x * x)) mod (((2 + 2) * (2 + 1)) + x)) mod (2 + 1))
A137993: 1 0 2 1 1 1 1 0 2 1 2 0 1 1 1 1
(((x + 1) * 2) - ((((x - 2) div (2 + 1)) - x) div (2 + 1)))
A248106: 3 5 7 9 12 14 16 18 20 23 25 27 29 32 34 36
(((((x + 2) * (x + 2)) * ((x * 2) + 1)) + x) div (2 + 1))
A112524: 1 9 27 59 109 181 279 407 569 769 1011 1299 1637 2029 2479 2991
(((((x + 2) * (x + 2)) * ((x * x) + 1)) + x) div (2 + 1))
A100188: 1 6 27 84 205 426 791 1352 2169 3310 4851 6876 9477 12754 16815 21776
(((x + 1) * 2) - ((((x div 2) div (0 - 2)) - x) div (2 + 1)))
A003153: 2 5 7 10 12 14 17 19 22 24 27 29 31 34 36 39
(((((1 - x) div (((2 + 2) * 2) + 1)) mod 2) + x) + (2 + 1))
A243293-A181590: 3 4 6 7 8 9 10 11 12 13 14 14 15 16 17 18
((((x - (((x mod 2) - x) div (2 + 1))) * 2) + x) + (2 + 1))
A026368: 3 6 11 14 19 22 25 28 33 36 41 44 47 50 55 58
((((((x div ((2 + 2) * 2)) + 2) + 2) * 2) + x) + (2 + 1))
A119247: 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28
(((((x * x) div (((2 + 2) * 2) * 2)) * 2) + x) * (2 + 1))
A161338: 0 3 6 9 18 21 30 39
((((x * 2) div (((x div (2 + 2)) + 2) + 2)) + x) + (2 + 1))
A275481: 3 4 6 7 8 10 11 12 13 15 16 17 18 19 21 22
((((((x * x) mod (2 + 1)) + x) div (2 + 2)) + x) mod (2 + 1))
A214332: 0 1 2 0 2 0 1 0 1 2 0 2 0 1 2 0
(((x + 1) * 2) - ((((2 - x) div (2 + 2)) - x) div (2 + 1)))
A082845: 2 5 7 10 12 14 17 19 22 24 26 29 31 34 36 39
((((((x + 2) * (x + 2)) * (x + 2)) div 2) + x) div (2 + 1))
A110611: 1 4 11 21 37 58 87 123 169 224 291 369 461 566 687 823
((((((2 + 1) * x) + 2) * ((x + 2) + 2)) - x) * (2 + 1))
A304374: 24 72 138 222 324 444 582 738 912 1104 1314 1542 1788 2052 2334 2634
(x - ((((((x - 1) * x) div 2) + 1) * (2 - x)) div (2 + 1)))
A192225: 0 1 2 5
A290464: 0 1 2 5 9 16 28
((x + 2) - ((1 - ((((x div 2) * x) mod 2) + x)) div (2 + 1)))
A135674: 2 3 5 6 7 9 10 12 13 14 15 17 18 19 21 22
(((x + 1) * 2) - (((((x div 2) * x) mod 2) - x) div (2 + 1)))
A304498: 2 5 7 9 12 14 16 18 21 23 26 28 30 33 35 37
((((x * x) div (((x + 1) div 2) + 1)) + 1) - (x div (2 + 1)))
A262355: 1 1 3 3 5 6 8 8 11 11 14 15
((2 + 2) div (((((x mod 2) + 2) + 2) + 1) - (x div (2 + 1))))
A035685: 0 0 0 0 1 0 1 1 1 1 2 1 4 2 4 4
(((((x mod (2 + 1)) - 2) mod (x + 2)) + 1) + (x div (2 + 1)))
A188146: 1 3 1 5 7 2 9 11 3 13 15 4 17 19 5 21
((((x + 2) + 2) - ((2 - x) div (x + 1))) + (x div (2 + 1)))
A224779: 2 5 6 9 10 11 13 14 15 17 18 19 21 22 23 25
(((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + (x div (2 + 1)))
A073750: 0 0 0 1 1 1 3 3 3 4 4 4 7 7 7 8
((((((x mod 2) + x) div (2 + 1)) + 2) + 2) + (x div (2 + 1)))
A116446: 4 4 4 6 6 7 8 8 8
((x + 1) div ((((x div (0 - 2)) mod 2) + 2) + (x div (2 + 1))))
A294602: 0 0 1 1 1 1 1 2 2 1 1 2 2 2 2 2
(x - (((x * 2) * 2) div (((2 + 2) * 2) + (x div (2 + 1)))))
A067022: 0 1 1 2 3 3 4 5 5 6 7 7 8 9 10 11
(((((x + 2) * 2) - (x mod (2 + 2))) * 2) + (x div (2 + 1)))
A335013: 8 10 12 15 25
((x - ((((2 - x) div (x + 2)) - 2) - 2)) - (x div (2 + 1)))
A196112: 3 5 6 7 8 9 9 10 11 11 12 13 13 14 15 15
(x - (((((x - 1) div (2 + 1)) - x) * 2) - (x div (2 + 1))))
A047402: 2 3 6 10 11 14 18 19 22 26 27 30 34 35 38 42
(x - (((((x - 2) div (2 + 1)) - x) * 2) - (x div (2 + 1))))
A047440: 2 5 6 10 13 14 18 21 22 26 29 30 34 37 38 42
(((((x * 2) + 1) * (2 + 1)) + (x mod 2)) + (x div (2 + 1)))
A063231: 3 10 15 23 28 35 41 48 53 61 66 73 79 86 91 99
((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) - (x mod (2 + 1)))
A101675: 1 ~1 ~2 1 1 0 1 ~1 ~2 1 1 0 1 ~1 ~2 1
((((x * 2) div (2 + 1)) + ((x + 2) * 2)) - (x mod (2 + 1)))
A146968: 4 5 7
A047491: 4 5 7 12 13 15 20 21 23 28 29 31 36 37 39 44
(((x + 2) + 2) - ((((x div (2 + 1)) - x) * x) div (2 + 1)))
A062002: 4 6 8 9 12 16 18
((((((x div 2) * x) mod 2) + x) + 1) + ((x * x) div (2 + 1)))
A222011: 1 2 4 8
A292550: 1 2 4 8 10 14 19
(((((x div 2) + 1) * (1 - x)) div 2) + ((x * x) div (2 + 1)))
A325690: 0 0 0 1 0 2 2 4 3 7 6 10 9 14 13 19
((2 - (x - (((x * 2) * 2) * 2))) + ((x * x) mod (2 + 1)))
A304809: 2 10 17 23 31 38 44 52 59 65 73 80 86 94 101 107
((((x + 1) * x) div 2) - (((1 - (x * x)) * x) * (2 + 1)))
A172082: 0 1 21 78 190 375 651 1036 1548 2205 3025 4026 5226 6643 8295 10200
((((x + 1) div 2) * x) - (((1 - (x * x)) * x) div (2 + 1)))
A289179: 0 1 4 14 28 55 88 140 200 285 380 506 644 819 1008 1240
(x - ((((x mod (((2 + 2) * (2 + 1)) - 1)) - x) div 2) - 1))
A033000: 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22
((((((((2 + 1) * x) + 2) * (2 + 1)) - 1) * x) div 2) + 1)
A064225: 1 8 24 49 83 126 178 239 309 388 476 573 679 794 918 1051
(((((x * x) div (((x * 2) div (2 + 1)) + 1)) + x) div 2) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A300064-A039217: 1 2 3 4 5 6 7 9 10 11 13 14 15 16 17 18
(x - (((((x div 2) div (((2 + 1) * 2) + 1)) - x) div 2) - 1))
A225647: 1 3 4 6 7
A026322: 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 23
(((((x + 2) mod ((x mod ((2 + 1) * 2)) + 1)) + x) div 2) + 1)
A188666: 1 2 2 3 3 4 4 5 5 7 7 7 7 8 8 9
(((((((x * x) * x) div 2) div ((2 + 2) + 1)) + x) div 2) + 1)
A094055: 1 1 2 3 6 9 14 21
(x - ((((((x + 2) div (2 + 1)) mod (2 + 1)) - x) div 2) - 1))
A188092: 1 2 4 5 6 8 9 12 13 15 16 17 19 20 21 23
(((x * 2) - (((((x div 2) - 1) div (2 + 1)) - x) div 2)) + 1)
A184978: 2 4 6 9 11
A186343: 2 4 6 9 11 14 16 19 21 23 26 28 31 33 35 38
(x - (((((((x mod 2) - x) - 2) div (2 + 1)) - x) * 2) - 1))
A285422: 3 6 11 14 17 20 25 28 33 36 39 42 47 50 55 58
((((((x + 2) * 2) - ((x * 2) div (2 + 1))) * x) div 2) + 1)
A058759: 1 4 8 13
A335445: 1 4 8 13 21 28 37 50
(x - ((((1 - x) * x) div (((x div (2 + 1)) + x) + 2)) - 1))
A001614: 1 2 4 5 7 9 10 12 14 16 17 19 21 23 25 26
((((((x div 2) + 1) * (x div 2)) + ((x + 1) * x)) * 2) + 1)
A220082: 1 5 17 29 53 73 109 137 185 221 281 325 397 449 533 593
(((x mod 2) - (((x mod (((2 + 2) + 1) * 2)) - x) * 2)) + 1)
A167679: 1 2 1 2 1 2 1 2 1 2 21 22 21 22 21 22
(x - (x mod ((((x mod (((2 + 2) + 1) * 2)) - x) * 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A087052: 0 1 2 3 4 5 6 7 8 9 19 19 19 19 19 19
((((((((x div 2) mod 2) - 2) mod (x + 1)) div 2) + x) * 2) + 1)
A125667: 1 3 7 9 11 15 19 21 23 27 31 33 35 39 43 45
(x - (((((x mod ((x div (2 + 1)) + 2)) mod 2) - x) div 2) - 1))
A287379: 1 2 4 6 7 9 10 11 13 15 16 17 19 20 22 23
((((((2 - x) mod ((x div (2 + 2)) + 2)) mod 2) + x) div 2) + 1)
A261224: 1 2 2 3 3 3 4 5 5 6 6 7 7 7 8 8
(x - (((((((x div 2) + x) div (2 + 2)) mod 2) - x) div 2) - 1))
A285950: 1 3 4 5 7 8 10 12 13 14 16 18 19 21 22 23
(((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) + x) div 2) + 1)
A086841-A004001: 1 1 2 2 3 4 4 4 5 6 7 7 8 8 8 8
(x - ((((((x mod (2 + 1)) - x) div (2 + 2)) - x) div 2) - 1))
A292652: 1 3 4 6 8 9 11 13 14 16 18 19 21 22 24 26
((((x div 2) * x) div ((((1 - x) mod (2 + 2)) + x) + 2)) + 1)
A280168-A025774-A001156: 1 1 1 1 2 2 2 2 3 4 4 4 5 6 6 6
(((x * 2) - ((x * x) div (((x div (2 + 2)) + x) + 2))) + 1)
A225647: 1 3 4 6 7
A256827-A184010-A175139: 1 3 4 6 7 8 9 11 12 13 14 15 17 18 19 20
(2 - (x - ((x * x) mod ((((x div (2 + 2)) + x) * 2) + 1))))
A248503: 2 2 4 1 3 9
((1 - (x * 2)) mod (((((x * x) div (2 + 2)) + x) div 2) + 1))
A161834: 0 0 1 1 3 3 5 7 11 13
(((((((x * x) div (2 + 1)) + (x div 2)) div 2) + x) div 2) + 1)
A085680: 1 1 2 3 4 6 7 9 11 13 15 17 20 23 26 29
(((((((x div (2 + 2)) mod 2) + (x div 2)) div 2) + x) * 2) + 1)
A285516: 1 3 5 7 11 13 17 19 21 23 25 27 31 33 37 39
((((((((x * x) div 2) + 2) * (x div 2)) div 2) + x) div 2) + 1)
A072606: 1 1 3 4 8 10 19 24
(((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + x) * 2) + 1)
A130568: 1 3 7 9 13 17 19 23 25 29 33 35 39 43 45 49
((((x + 2) * (x + 1)) div 2) * ((((x + 2) * x) * 2) + 1))
A076454: 1 21 102 310 735 1491 2716 4572 7245 10945 15906 22386 30667 41055 53880 69496
(((((((x + 2) + 2) * (x + 1)) - (x div 2)) * x) div 2) + 1)
A163983: 1 6 18 41 77
(((((((x div 2) + (x * 2)) + 2) * (x div 2)) + x) * 2) + 1)
A273367: 1 3 19 25 57 67 115 129 193 211 291 313 409 435 547 577
((((x + 2) * (x + 2)) div 2) mod ((((x div 2) + x) div 2) + 1))
A338227: 0 0 0 0 2 0 2 4 1 4 0 3 8 2 7 0
((((x div (2 + 1)) + 1) div 2) div ((((x div 2) * x) mod 2) + 1))
A338236: 0 0 0 0 1 1 1 0 1 2 2 1 2 2 2 1
(((x - ((x mod (((2 + 2) * 2) + 1)) - 1)) * (x + 2)) - 1)
A077726: 1 2 3 4 5 6 7 8 9 109 119 129 139 149 159 169
(compr(\x.(1 - (x mod ((x mod ((2 + 1) * 2)) + 1))),(x + 2)) + 1)
A091242: 4 5 6 8 9 10 12 14 15 16 17 18 20 21 22 23
(((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) * (x + 2)) + 1)
A250665: 1 1 1 1 1 1 1 1 11 23 37 53 71 91 113 137
(((((x + 1) mod (((2 + 2) + 1) * 2)) * 2) mod (x + 2)) + 1)
A156207: 1 2 3 4 5 6 7 8 9 1 3 5 7 9 11 13
(((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (x + 2)) + 1)
A250667: 1 1 1 1 1 1 1 1 1 1 13 27 43 61 81 103
(2 div (((2 - ((1 - x) mod ((2 + 2) * 2))) mod (x + 2)) + 1))
A095683: 1 0 0 1 0 0 0 2 1 0 0 0 0 0 0 2
(((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 1)
A249728-A000267: 1 2 3 3 4 4 5 5 5 6 6 6 7 7 7 7
(((((x * 2) + 1) * 2) * 2) * (((x + 2) * (x + 2)) - 1))
A192848: 12 96 300 672 1260 2112 3276 4800 6732 9120 12012 15456 19500 24192 29580 35712
(((((x + 2) * (x + 1)) div 2) div (2 + 1)) * ((x + 2) + 1))
A050188: 0 4 10 18 35 56 81 120 165 216 286 364 450 560 680 810
(x - (((x - 2) - ((x * x) div (2 + 1))) div ((x + 2) + 1)))
A082463: 1 2 3 4 5 6 7 9 10
A070115: 1 2 3 4 5 6 7 9 10 11 12 14 15 16 18 19
((((((2 mod (x + 1)) + 1) * x) * 2) + 1) div ((x + 2) + 1))
A130256: 0 0 2 3 3 3 4 4 4 4 4 4 4 4 5 5
((((x + 2) * (x + 1)) div ((x mod 2) + 1)) * ((x + 2) + 1))
A033931: 6 12 60 60 210 168 504 360 990 660 1716 1092 2730 1680 4080 2448
(((2 + 2) * (x + 1)) - (((x * x) - 1) div ((x + 2) + 1)))
A212452: 5 8 12 15 18 21 25 28 31 34 37 40 43 46 49 52
(((((x * x) div (2 + 1)) + (x mod 2)) div 2) * ((x + 2) + 1))
A330197: 0 0 0 12 14 32 54 80 110 168 208 280 360 448 544 684
((((x + 2) * 2) + x) - (((1 - x) * 2) div ((x + 2) + 1)))
A212447: 4 7 11 14 17 20 24 27 30 33 36 39 42 45 48 51
(((((x - (2 + 1)) * (x - 2)) div 2) * x) * ((x + 2) + 1))
A060784: 0 4 0 0 28 120 324 700 1320 2268 3640 5544 8100 11440 15708 21060
(((((((x + 2) + 2) * (x + 1)) + 1) * x) * (x + 2)) + 1)
A192398: 1 34 153 436 985 1926 3409 5608 8721 12970 18601 25884 35113 46606 60705 77776
(((((((x * x) + 2) * x) div (2 + 1)) + x) div (x + 2)) + 1)
A062485: 1 1 2 3 5 8 11 15 19 24 30 36 43 51 59 68
((((((2 + 1) * 2) + (x div (2 + 1))) * x) div (x + 2)) + 1)
A278375: 1 3 4 5 5 6 7 7 7 8 8 8 9 9
(((((x * x) * 2) div (((2 + 1) * 2) + 1)) + (x * 2)) + 1)
A154287: 1 3 6 9 13 18 23 29 35 42 49 57 66 75 85 95
(((((x * x) + (x mod 2)) div ((2 + 2) + 1)) + (x * 2)) + 1)
A233779: 1 3 5 9 12 16
A243205: 1 3 5 9 12 16 20 25 29
((x * x) div ((((x div (2 + 2)) mod (2 + 1)) + (x * 2)) - 1))
A029865: 0 1 1 1 2 2 3 3 3 4 4
A194237: 0 1 1 1 2 2 3 3 3 4 4 5 6 6 7 7
(((((x * x) div (2 + 2)) * ((x div 2) - 1)) + (x * 2)) + 1)
A182981: 1 3 5 7 13 17 31 39
((((x mod 2) - (x div ((2 + 2) * (0 - 2)))) + (x * 2)) + 1)
A188191: 1 5 6 9 10 13 14 17 18 22 23 26 27 30 31 34
(((((x + 1) div (((2 + 1) * 2) + 1)) mod 2) + (x * 2)) + 1)
A327209: 1 3 5 7 9 11 14 16 18 20 22 24 26 27 29 31
((((x - (x div (((2 + 1) * 2) + 1))) div 2) + (x * 2)) + 1)
A303590: 1 3 6 8 11 13 16 18 20 23 25 28 30 33 35 37
(((((x * 2) div (((2 + 2) * 2) + 1)) mod 2) + (x * 2)) + 1)
A291154: 1 3 5 7 9 12 14 16 18 19 21 23 25 27 30 32
(((((x * x) div ((2 + 2) * (2 + 1))) mod 2) + (x * 2)) + 1)
A189220: 1 3 5 7 10 11 14 15 18 19 21 23 25 27 29 31
(((((x - ((x div 2) div (0 - 2))) div 2) mod 2) + (x * 2)) + 1)
A190335: 1 3 6 7 9 12 13 15 18 20 21 24 26 27 30 32
(((((x + 2) div (1 - ((2 + 2) * 2))) mod 2) + (x * 2)) + 1)
A327210: 2 4 6 8 10 12 13 15 17 19 21 23 25 28 30 32
((((((x div 2) mod (2 + 2)) - x) div (2 + 2)) + (x * 2)) + 1)
A241071: 1 2 4 6 8 10 12
A336735: 1 2 4 6 8 10 12 14 15 16 18 20 22 24 26 28
((((((x div 2) div ((2 + 2) + 1)) + x) div 2) + (x * 2)) + 1)
A139477: 1 3 6 8 11 13 16 18 21 23 26 29 31 34 36 39
((((((x mod ((x div 2) + 2)) div 2) + x) div 2) + (x * 2)) + 1)
A090848: 1 3 6 8 11 13 16 19 21 24 26 29 32 34 37 40
(((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A232100: 41 123 205 287 369 451 533 615 697 779 861 943 1025 1107 1189 1271
(((((x + 1) * x) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A005904: 1 33 155 427 909 1661 2743 4215 6137 8569 11571 15203 19525 24597 30479 37231
(((((x * 2) * (x + 1)) * (2 + 1)) + 1) * ((x * 2) + 1))
A193228: 1 39 185 511 1089 1991 3289 5055 7361 10279 13881 18239 23425 29511 36569 44671
((((((x + 1) * x) div 2) * (2 + 1)) + 1) * ((x * 2) + 1))
A063491: 1 12 50 133 279 506 832 1275 1853 2584 3486 4577 5875 7398 9164 11191
(((((x + 2) * x) * ((x * 2) + 1)) - 1) * ((x * 2) + 1))
A123197: ~1 24 195 728 1935 4224 8099 14160 23103 35720 52899 75624 104975 142128 188355 245024
((((((x + 2) * 2) * 2) * (x + 1)) + 1) * ((x * 2) + 1))
A102094: 9 75 245 567 1089 1859 2925 4335 6137 8379 11109 14375 18225 22707 27869 33759
((((((x * 2) * 2) * 2) * (x + 1)) + 1) * ((x * 2) + 1))
A193250: 1 51 245 679 1449 2651 4381 6735 9809 13699 18501 24311 31225 39339 48749 59551
(((((((x mod 2) * 2) * 2) - 1) * 2) - 1) mod ((x * 2) + 1))
A266595: 0 2 2 5 6 5 10 5 14 5 18 5 22 5 26 5
((1 - (x - (((x * 2) * 2) * (2 + 1)))) * ((x * 2) + 1))
A033575: 1 36 115 238 405 616 871 1170 1513 1900 2331 2806 3325 3888 4495 5146
(((((((x * 2) * 2) + 1) * x) * 2) + 1) * ((x * 2) + 1))
A046142: 1 33 185 553 1233 2321 3913 6105 8993 12673 17241 22793 29425 37233 46313 56761
((x - (((1 - x) * (x * 2)) * (x - 1))) * ((x * 2) + 1))
A344907: 0 3 30 189 684 1815 3978 7665 13464 22059 34230 50853 72900 101439 137634 182745
(((x * x) div (((2 + 2) * (2 + 1)) + x)) + ((x * 2) + 1))
A175312: 1 3 5 7 10 12 15 17 20 22 25 28 31 33 36 39
((((1 - x) * x) div (((2 + 2) * 2) + x)) + ((x * 2) + 1))
A317391: 1 3 4 6 8 9 10 12 13 14 16 17 18 19 20 21
((((x * x) - ((x * x) div (x + 2))) * x) div ((x * 2) - 1))
A152125: 0 1 2 4 8 12 17 23 30 39
(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * (x * 2)) + 1)
A158632: 1 47 185 415 737 1151 1657 2255 2945 3727 4601 5567 6625 7775 9017 10351
((((((((2 + 2) * 2) * 2) * 2) + 1) * x) * (x * 2)) + 1)
A158689: 1 67 265 595 1057 1651 2377 3235 4225 5347 6601 7987 9505 11155 12937 14851
((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * (x * 2)) + 1)
A158676: 1 63 249 559 993 1551 2233 3039 3969 5023 6201 7503 8929 10479 12153 13951
((((x + 2) * x) - (((x div (2 + 1)) + 1) * (x div 2))) + 1)
A122224: 1 4 8 14 21 32 40
(((((x mod 2) * (x + 1)) * ((2 + 2) + 1)) + (x div 2)) + 1)
A176592: 1 11 2 22 3 33 4 44 5 55 6 66 7 77 8 88
((((((x mod 2) * 2) * (x + 1)) * (2 + 1)) + (x div 2)) + 1)
A176593: 1 13 2 26 3 39 4 52 5 65 6 78 7 91 8 104
(x div (((x * x) mod (((x + 1) * (2 + 1)) + (x div 2))) + 1))
A328037: 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 2
(((((((x mod 2) + x) * 2) + x) * (x + 1)) + (x div 2)) + 1)
A164576: 1 11 20 46 63 105 130 188 221 295 336 426 475 581 638 760
(((((x * 2) * 2) div (((x div 2) + 2) + 2)) + (x div 2)) + 1)
A258632: 1 2 3 4 5 6 7 8 9 9 10 10 11 12 13 13
((((((x mod 2) * (2 + 1)) + x) * (2 + 2)) + (x div 2)) + 1)
A166524: 1 17 10 26 19 35 28 44 37 53 46 62 55 71 64 80
(((x + 2) * x) - ((((x div 2) - (x * 2)) * (x div 2)) - 1))
A212965: 1 4 12 21 37 52 76 97 129 156 196 229 277 316 372 417
((x - ((x + 1) mod (((2 + 2) * 2) + 1))) mod ((x div 2) + 1))
A253315: 0 0 1 1 2 2 3 3 3 3 2 2 1 1 0 0
((x - (x mod (0 - ((x div (2 + 2)) + 1)))) div ((x div 2) + 1))
A139355: 0 1 1 1 1 2 1 2 1 1 2 2 1 2 2 2
((0 - ((x + 1) div ((x div (2 + 2)) + 1))) mod ((x div 2) + 1))
A308318: 0 0 1 0 1 0 1 0 2 2 3 2 4 4 5 4
((((x * x) mod ((x * 2) - 1)) + (2 + 1)) * ((x div 2) + 1))
A055057: 3 3 8 14 15
((x * 2) - ((1 - ((2 + 2) * (2 + 1))) * ((x div 2) + 1)))
A295340: 11 13 26 28 41 43 56 58 71 73 86 88 101 103 116 118
((x div ((0 - 2) - ((x * x) mod (2 + 1)))) mod ((x div 2) + 1))
A156643-A071635: 0 0 1 0 1 1 1 1 2 0 2 2 1 2 3 0
((((((x + 2) * x) div 2) + 2) * (x + 1)) - ((x div 2) + 1))
A246697: 1 5 16 34 67 111 178 260 373 505 676 870 1111 1379 1702 2056
((((x div 2) div (2 + 1)) + x) + ((2 + 2) mod ((x div 2) + 1)))
A062877: 0 1 2 3 5 6 7 8 13 14 15 16 18 19 20 21
(((((x * x) + (2 + 2)) * (x + 2)) div 2) * ((x div 2) + 1))
A271676: 4 7 32 64
((((((2 + 2) * 2) * 2) + x) - 1) - (2 div ((x div 2) + 1)))
A060275: 13 14 16 17 19 20 21 22 23 24 25 26 27 28 29 30
(1 - ((x * x) - (((x div 2) + (x * 2)) * ((x div 2) + 1))))
A338041: 1 2 7 6 15 12 25 20 37 30 51 42 67 56 85 72
((((x mod ((x div (2 + 2)) + 2)) div 2) + x) div ((x div 2) + 1))
A305501: 0 1 1 1 1 2 1 1 1 1 1 2 1 2 2 1
(((((x mod 2) + x) * ((2 + 2) * 2)) + x) + ((x div 2) + 1))
A113541: 1 18 20 37 39 56 58 75 77 94 96 113 115 132 134 151
(((((2 + 2) + 1) * x) + 2) mod (((x * x) + (x div 2)) + 1))
A039631: 0 1 0 6 3 27
(((((((x * 2) * (x + 1)) - 2) * 2) - 1) * (x mod 2)) + 1)
A269906: 1 4 1 44 1 116 1 220 1 356 1 524 1 724 1 956
((((((x - 2) div (2 + 1)) mod 2) * (2 + 1)) - (x mod 2)) - 1)
A087204: 2 1 ~1 ~2 ~1 1 2 1 ~1 ~2 ~1 1 2 1 ~1 ~2
((((x mod ((x div ((0 - 2) - 1)) - 1)) mod 2) - (x mod 2)) + 1)
A194321-A194309: 1 1 1 1 1 1 1 1 1 1 1 0 2 1 1 1
((((x mod (((2 + 2) mod (x + 1)) + 1)) mod 2) + (x mod 2)) + 1)
A198333: 1 2 1 2 1 2 2 2 2 2 1 3 1 3 1 2
((((x mod (((x div (2 + 2)) * 2) - 1)) mod 2) + (x mod 2)) + 1)
A099305: 1 2 1 2 1 2 1 2 1 2 2 2 1 3 1 2
((((x - (x div ((x mod (2 + 2)) + 1))) mod 2) + (x mod 2)) - 1)
A156706: ~1 1 ~1 1 ~1 1 ~1 0 ~1 1 0 1 ~1 1 ~1 0
(x div ((((x div (((x mod 2) + 2) + 1)) + 2) - (x mod 2)) + 1))
A211262: 0 0 0 1 1 1 1 2 1 2 1 2 1 2 2 3
(((((x div ((2 + 2) + 1)) * (2 + 1)) div 2) - (x mod 2)) + 1)
A344245: 1 0 1 0 1 1 2 1 2 1 4 3 4 3 4 4
(((((x + 2) * (x + 2)) * (2 + 1)) - 1) div ((x mod 2) + 1))
A188386: 11 13 47 37 107 73 191 121 299 181 431 253 587 337 767 433
((((x div ((x mod (0 - 2)) - 2)) mod 2) + 1) * ((x mod 2) + 1))
A135513: 1 4 2 4 1 2 2 4 1 4 2 2 1 4 2 4
((((((x div (2 + 1)) mod 2) + x) div 2) + 1) div ((x mod 2) + 1))
A290636: 1 0 2 1 3 2 4 2 5 3 6 3 7 3 8 4
(2 div ((((x + 2) mod ((2 + 2) + 1)) + 2) div ((x mod 2) + 1)))
A333325: 0 1 0 2 0 1 0 0 1 2 0 1 0 2 0 1
(((x + 2) div (((x mod 2) * (2 + 1)) + 2)) * ((x mod 2) + 1))
A289435: 1 0 2 2 3 2 4 2 5 4 6 4 7 6 8 6
(((((x - 1) mod (2 + 1)) + (x div 2)) div 2) div ((x mod 2) + 1))
A029223: 1 0 1 0 1 0 2 0 2 1 2 1 4 1 4 2
((((((2 + 2) * (2 + 1)) * (2 + 1)) + (x * x)) * 2) - 1)
A127316: 71 73 79 89 103 121 143 169 199 233 271 313 359 409 463 521
((((((2 + 2) * 2) * 2) * 2) - 1) div (((x * x) * 2) + 1))
A145584: 31 10 3 1
(compr(\x.((x mod (((x - 1) mod ((2 + 2) * 2)) + 1)) - 1),x) + 1)
A344974: 1 2 3 4 5 6 7 8 9 10 11 13 16 17 18 19
(compr(\x.((x + 1) mod ((x mod (((2 + 2) * 2) + 1)) + 1)),x) + 1)
A235591-A064807: 1 2 3 4 5 6 7 8 9 10 12 18 19 20 21 24
(((((((x + 2) + 2) + 2) * ((2 + 2) + 1)) + 1) * x) + 1)
A172193: 1 37 83 139 205 281 367 463 569 685 811 947 1093 1249 1415 1591
(compr(\x.((((2 + 1) * x) mod ((x div (2 + 2)) + 1)) - 1),x) + 1)
A261888: 1 2 3 4 5 6 7 8 9 10 11 12 13 16 18 21
(((((((x + 1) * x) * ((2 + 2) + 1)) + 2) + 1) * x) + 1)
A064096: 1 14 67 190 413 766 1279 1982 2905 4078 5531 7294 9397 11870 14743 18046
(((((x * x) * (2 + 1)) div (((2 + 1) * 2) + 1)) + x) + 1)
A025717-A025702: 1 2 4 7 11 16 22 29 36 44 53 63 74 86 99 112
(((((x * x) + (x div 2)) div (((2 + 1) * 2) + 1)) + x) + 1)
A071423: 1 2 3 5 7 9 12 15 18 22 26 30 34 39 44 49
(((2 + 1) * x) mod (((x div (((2 + 1) * 2) + 1)) + x) + 1))
A065651: 0 1 0 1 2 3 4 3 4 5 6 7 8 9 8 9
(compr(\x.(2 - ((x div 2) div ((x mod ((2 + 1) * 2)) + 1))),x) + 1)
A194408: 7 13 14 15 19 20 21 22 23 25 26 27 28 29 30 31
((((x + 2) - ((x + 1) mod (((2 + 2) * 2) + 1))) * x) + 1)
A044910: 1 2 3 4 5 6 7 8 81 91 101 111 121 131 141 151
((((((x + 2) * (x + 2)) div 2) div ((2 + 2) + 1)) + x) + 1)
A130798: 1 2 4 6 8 10 13 16 19 22 25 28 32 36 40 44
(((((x div 2) + 1) mod (2 + 2)) + (((2 + 2) + 1) * x)) + 1)
A209886: 2 7 13 18 24 29 31 36 42 47 53 58 64 69 71 76
((((2 + 2) * (x + 1)) + x) * ((((2 + 2) + 1) * x) + 1))
A001545: 4 54 154 304 504 754 1054 1404 1804 2254 2754 3304 3904 4554 5254 6004
(((((x div ((2 + 2) * 2)) * x) div ((2 + 2) + 1)) + x) + 1)
A317717-A076487: 1 2 3 4 5 6 7 8 10 11 13 14 15 16 17 19
(((x div (2 - (x div (((2 - x) div (2 + 2)) - 1)))) + x) + 1)
A187945: 1 2 3 4 6 7 8 9 10 11 12 14 15 16 17 19
(((((x + 1) div (((2 + 1) * 2) + 1)) * (2 + 1)) + x) + 1)
A285469-A037476: 1 2 3 4 5 6 10 11 12 13 14 15 16 20 21 22
(((((x mod ((x div 2) + 1)) div (2 + 1)) * (2 + 1)) + x) + 1)
A032971: 1 2 3 4 5 6 7 11 12 13 14 15 16 20 21 22
(compr(\x.(((((x mod 2) * x) - x) div (2 + 1)) mod (2 + 1)),x) + 1)
A263800: 1 2 4 6 8 9 10
A153184: 1 2 4 6 8 9 10 12 14 16 17 18 19 20 22 24
(((x - (2 - (((2 + 2) * (x + 1)) * (2 + 1)))) * x) + 1)
A161587: 1 24 73 148 249 376 529 708 913 1144 1401 1684 1993 2328 2689 3076
((((((x div ((2 + 2) * 2)) + 2) + 2) * (2 + 1)) + x) + 1)
A178402: 13 14 15 16 17 18 19 20 24 25 26 27 28 29 30 31
((((x div (((x div (2 + 2)) + 2) + 2)) * (2 + 1)) + x) + 1)
A069117: 1 2 3 4 5 9 10 11 12 13 14 15 16 17 21 22
((((((x - (x div (2 + 2))) div 2) * 2) div (2 + 1)) + x) + 1)
A051705: 1 2 3 4 5 7 8 10 11 12 13 14 15 17 18 20
(((((x + 1) * x) div (((2 + 2) * 2) * (2 + 1))) + x) + 1)
A184105: 1 2 3 4 5 7 8 10 12 13 15 17 19 21 23 26
((((((x div 2) + x) div ((2 + 2) * 2)) * (2 + 1)) + x) + 1)
A032970: 1 2 3 4 5 6 10 11 12 13 14 18 19 20 21 22
((((x * x) div (x - (1 - ((2 + 2) * (2 + 1))))) + x) + 1)
A248635: 1 2 3 4 6 7 9 10 12 14 15 17 19 21 22 24
((((x + 2) - ((x + 1) mod ((2 + 2) * (2 + 1)))) * x) + 1)
A044913: 1 2 3 4 5 6 7 8 9 10 11 144 157 170 183 196
(((((2 + 1) * x) + 1) * (x + 1)) * (((2 + 1) * x) + 1))
A100165: 1 32 147 400 845 1536 2527 3872 5625 7840 10571 13872 17797 22400 27735 33856
(((x * 2) div (1 - ((2 + 2) * 2))) mod (((2 + 1) * x) + 1))
A121384: 0 3 6 9 11 14 17 20 22 25 28 30 33 36 39 41
((((((2 + 1) * x) + 2) * 2) * 2) * (((2 + 1) * x) + 1))
A144410: 8 80 224 440 728 1088 1520 2024 2600 3248 3968 4760 5624 6560 7568 8648
(((((x + 2) * 2) + x) * (2 + 2)) * (((2 + 1) * x) + 1))
A144449: 16 112 280 520 832 1216 1672 2200 2800 3472 4216 5032 5920 6880 7912 9016
((((((x * x) div (2 + 2)) + (x * x)) div (2 + 1)) + x) + 1)
A025727: 1 2 4 7 11 16 22 28 35 43 52 62 73 84 96 109
((((((x * x) div (2 + 1)) * x) mod ((x * 2) + 1)) + x) + 1)
A175135: 1 2 5 6 7 13
(((((2 + 2) * 2) * ((2 + 2) + 1)) + ((x + 1) * x)) + 1)
A273756-A202018-A155884-A005846: 41 43 47 53 61 71 83 97 113 131 151 173 197 223 251 281
(((((x + 1) * x) * (2 + 1)) + 1) * (((x + 1) * x) + 1))
A243201: 1 21 133 481 1281 2821 5461 9633 15841 24661 36741 52801 73633 100101 133141 173761
(((((x + 2) * x) + 2) * (x + 2)) * (((x + 1) * x) + 1))
A123650: 4 45 280 1105 3276 8029 17200 33345 59860 101101 162504 250705 373660 540765 762976 1052929
(((((x * x) - 1) * x) div 2) * ((((x * x) + 1) * x) + 1))
A085742: 0 0 33 372 2070 7860 23415 58968 131292 266040 500445 886380 1493778 2414412 3766035 5696880
(x mod ((((x div (((1 - x) mod (2 + 1)) + 1)) mod 2) + x) - 1))
A336922: 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 0
((((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2) * x) + 1)
A135683: 1 1 1 4 1 6 1 8 9 10 1 12 1 14 15 16
((((((x * 2) * 2) div (((2 + 1) * 2) + 1)) * 2) + x) + 1)
A276883: 1 2 5 6 9 10 13 16 17 20 21 24 25 28 31 32
(compr(\x.((((x - 2) * x) div (((2 + 1) * 2) + 1)) mod 2),x) + 1)
A283777: 1 3 4 6 9 12 14 15 17 18 20 23 26 28 29 31
(compr(\x.(((x - 1) mod ((x mod ((2 + 1) * 2)) + 1)) - 2),x) + 1)
A332485: 1 2 3 4 7 8 9 10 13 14 15 16 17 19 20 21
(((((x * x) mod (((x div (2 + 1)) * 2) - 1)) div 2) + x) + 1)
A003964: 1 2 3 4 5 6 7 8 9 10 11 12 15 14 15 16
(compr(\x.((x mod (((((x mod 2) * 2) * 2) * 2) + 1)) mod 2),x) + 1)
A194377-A007957: 1 3 5 7 9 10 11 12 13 14 15 16 17 18 19 21
((((x mod ((x mod (1 - ((2 + 2) * 2))) - 1)) mod 2) + x) + 1)
A114707: 1 2 3 4 5 7 7 8 9 11 11 13 13 15 15 16
((((x - (((2 - x) div 2) div ((2 + 2) + 1))) div 2) + x) + 1)
A247000: 1 2 4 6 7 9 10 12 13 15 16 18 19 21 23 24
(((((((x div 2) + x) * 2) div ((2 + 2) + 1)) * 2) + x) + 1)
A288552: 1 2 5 6 9 10 13 16 17 20 23 24 27 28 31 32
((((x + 2) - ((x + 1) mod (((2 + 2) + 1) * 2))) * x) + 1)
A044911: 1 2 3 4 5 6 7 8 9 100 111 122 133 144 155 166
((((x - ((x + 1) mod ((x mod (2 + 2)) + 1))) div 2) + x) + 1)
A187351: 1 2 4 5 7 8 9 11 13 14 15 17 19 20 22 23
((((x - ((x - 1) div (((x div 2) + 2) + 1))) * 2) + x) - 1)
A045930: 1 2 5 8 11 14 17 18 21 24 27 30 33 36 39 42
((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * x) + 1)
A304404-A290480: 1 1 1 1 1 6 1 1 1 10 1 12 1 14 15 1
(compr(\x.(((x + 1) mod ((x div ((x mod 2) + 2)) + 1)) - 2),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A141341: 1 2 3 4 5 6 8 10 12 18 24 30
(((((x div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A032896-A032855: 1 2 3 4 5 6 7 9 10 11 12 13 14 15 18 19
((((((((x + 1) div 2) div 2) * 2) div (2 + 1)) * 2) + x) + 1)
A175857: 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 20
((((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A284837: 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 19
(compr(\x.((x - (((x div (2 + 1)) - x) div (2 + 1))) mod 2),x) + 1)
A193600: 1 2 4 7 9 12 14 15 17 19 20 22 25 27 30 32
(((((x * x) mod ((((x div 2) + x) div 2) + 1)) div 2) + x) + 1)
A072618: 1 2 3 4 5 6 7 8 9 12 13 14 15 18 19 20
((((x + 2) div (2 - (((x div 2) div (0 - 2)) div 2))) + x) - 1)
A039250: 0 1 2 3 5 6 7 9 10 11 12 13 14 15 17 18
(((((x - (x div (((2 + 2) * 2) + 1))) div 2) * 2) + x) + 1)
A188258: 1 2 5 6 9 10 13 14 17 18 19 22 23 26 27 30
(x mod (((((2 - x) mod (((2 + 2) + 1) * 2)) * 2) + x) - 1))
A004177: 0 1 0 3 4 5 6 7 8 9 10 11 1 13 14 15
(compr(\x.((x mod ((((2 - x) div 2) div (2 + 1)) - 2)) mod 2),x) + 1)
A325131: 1 3 4 5 7 8 11 13 15 16 17 19 21 23 25 27
(((((((x + 2) * x) - (x div (2 + 1))) div 2) div 2) + x) + 1)
A024177: 1 2 5 7 10 14 18 23 28 34 40 47 54 61 70 78
((((((1 - (x div (2 + 2))) mod (x + 1)) div 2) div 2) + x) + 1)
A173016: 1 2 3 4 5 6 7 8 11 12 13 14 15 17 18 19
((((x - (x mod (((x div 2) mod (0 - 2)) - 2))) div 2) + x) + 1)
A156246: 1 3 4 5 7 9 10 12 13 15 17 18 19 21 22 23
(((((x - ((x mod ((2 + 2) + 1)) div 2)) div 2) div 2) + x) + 1)
A153381: 1 2 3 4 5 7 8 9 10 11 13 14 15 17 18 19
((((x - (2 div (x - (((2 + 2) * 2) * 2)))) * 2) + x) + 1)
A036686: 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 50
((((x + 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) + x) + 1)
A188013: 1 2 4 5 6 7 9 10 11 12 13 14 15 17 18 19
(x div (((x mod ((((x div (2 + 2)) mod 2) + 2) + 2)) + x) - 1))
A091447-A091444-A076478: 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1
(((((x - ((x div (2 + 1)) mod (2 + 2))) div 2) div 2) + x) + 1)
A303234: 1 2 3 4 5 7 8 9 10 11 12 14 16 17 18 19
((((x - ((0 - ((x div 2) mod (2 + 2))) div 2)) div 2) + x) + 1)
A187974: 1 2 4 6 7 9 11 12 13 14 16 18 19 21 23 24
((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2) + x) + 1)
A008817: 1 2 3 4 5 6 7 8 9 10 13 16 19 22 25 28
(x - ((((x * x) - 2) div ((((2 + 2) * 2) * 2) + x)) - 1))
A177876: 2 3 3 4
A047785: 2 3 3 4 5 5 6 6 7 7 8 8 8 9 9 9
(1 - (((2 - x) * x) div (((((2 + 2) * 2) * 2) + x) + 1)))
A025771: 1 1 1 2 2 2 3 3 3 4 4 5 6 6 7 8
(((x * x) div (x + 2)) div (((((2 + 2) * 2) * 2) - x) + 1))
A326633: 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6
((((((0 - x) * 2) mod ((x div (2 + 2)) + 2)) div 2) + x) + 1)
A000015: 1 2 3 4 5 7 7 8 9 11 11 13 13 16 16 16
((((x * x) + 2) div (((((x mod 2) + 2) * 2) * 2) + x)) + 1)
A326670: 1 1 1 1 2 2 3 3 5 4 6 6 8 7 10 9
((((x * x) mod (x - ((x - 1) mod ((2 + 2) * 2)))) + x) + 1)
A059765: 1 2 3 4 5 6 7 8 9 10 12 16
(((((2 - (x div (2 + 1))) * (x div (2 + 2))) div 2) + x) + 1)
A263283: 1 2 3 4 5 6 7 8 9 9 10 11 10 11 12 11
(((((((2 - (x div 2)) div 2) mod (x + 2)) div 2) div 2) + x) + 1)
A178596: 1 2 3 4 5 6 8 10 11 12 13 14 16 17 18 19
(((((((x div (2 + 2)) mod 2) + (x div 2)) div 2) * 2) + x) + 1)
A285506: 1 2 3 4 7 8 11 12 13 14 15 16 19 20 23 24
((((x div ((x div (2 + 2)) + 1)) + (x div (2 + 2))) + x) + 1)
A183855: 1 3 5 7 8 9 11 12 13 15 16 17 19 20 21 22
(((((((x * 2) div ((2 + 2) + 1)) + x) div 2) * 2) + x) + 1)
A276882: 1 2 5 8 9 12 15 16 19 22 25 26 29 32 33 36
(((((((x mod ((x div 2) + 1)) div 2) + x) div 2) * 2) + x) + 1)
A276886: 1 2 5 6 9 12 13 16 17 20 23 24 27 30 31 34
((((((x * 2) div ((2 + 2) + 1)) + (x * 2)) * 2) + x) + 1)
A276879: 1 6 11 18 23 30 35 40 47 52 59 64 69 76 81 88
((((((x mod (2 + 1)) * (2 + 1)) + (x mod 2)) * 2) + x) + 1)
A329772: 1 10 15 6
(((((x div (((2 + 2) * (2 + 1)) + 1)) + x) * 2) + x) + 1)
A308014: 1 4 7 10 13 16 19 22 25 28 31 34 37 42 45 48
(((((((x - 2) div ((2 + 2) + 1)) mod 2) + x) div 2) + x) + 1)
A187689: 1 3 4 5 7 8 10 12 13 15 16 18 19 20 22 23
((((((x mod (((x div 2) mod 2) + 2)) mod 2) + x) div 2) + x) + 1)
A189665: 1 3 4 5 7 9 10 12 13 15 16 17 19 21 22 23
(((((((x - 1) * x) div ((2 + 2) * 2)) + x) div 2) + x) + 1)
A259280: 1 2 4 5 7 9 11 14 16 19 21 24 27 30 33 36
(((((x div (((2 - x) div (2 + 2)) - 2)) + x) * 2) + x) + 1)
A045928: 1 2 5 8 9 12 15 18 21 22 25 28 31 34 37 40
((((((((x div 2) + x) div (2 + 2)) mod 2) + x) div 2) + x) + 1)
A285954: 1 2 4 6 7 9 10 11 13 15 16 17 19 20 22 24
(x mod (((x * x) mod ((((x mod 2) + 2) * (x + 2)) + x)) + 1))
A004179: 0 1 2 3 0 5 6 7 8 9 10 11 12 13 1 15
(((((x * x) * 2) div ((2 + 2) + 1)) + ((x + 2) * x)) + 1)
A025720: 1 4 10 19 31 46 63 83 106 132 161 192 226 263 303 346
(((((x + 2) * x) * (2 + 2)) + 1) * (((x + 2) * x) + 1))
A079414: 1 52 297 976 2425 5076 9457 16192 26001 39700 58201 82512 113737 153076 201825 261376
((((((2 + 1) * x) + 2) * x) + 1) * (((x + 2) * x) + 1))
A092181: 1 24 153 544 1425 3096 5929 10368 16929 26200 38841 55584 77233 104664 138825 180736
((((((((x div 2) + x) + 1) div 2) * x) div (x + 2)) + x) + 1)
A288521: 1 2 4 5 7 8 10 11 13 15 17 18 20 22 24 25
(((((((x div (2 + 1)) + 2) + 2) * x) div (x + 2)) + x) + 1)
A288525: 1 3 5 7 8 9 11 12 13 15 16 17 19 20 22 23
(((((x + 2) + 1) div (((2 + 1) * 2) + 1)) + 1) * (x + 1))
A076079: 1 2 3 4 10 12 14 16 18 20 22 36 39 42 45 48
(((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) + 1) div (x + 1))
A033381: 61 30 20 15 12 10 8 7 6 6 5 5 4 4 4 3
(((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) - 1) div (x + 1))
A033379: 59 29 19 14 11 9 8 7 6 5 5 4 4 4 3 3
((((((x + 1) * x) div 2) * ((2 + 2) + 1)) + 1) * (x + 1))
A006564: 1 12 48 124 255 456 742 1128 1629 2260 3036 3972 5083 6384 7890 9616
((((((2 + 1) * 2) * (2 + 1)) * (2 + 1)) + 1) div (x + 1))
A033375: 55 27 18 13 11 9 7 6 6 5 5 4 4 3 3 3
((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1) div (x + 1))
A033393: 73 36 24 18 14 12 10 9 8 7 6 6 5 5 4 4
((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) - 1) div (x + 1))
A033391: 71 35 23 17 14 11 10 8 7 7 6 5 5 5 4 4
(((((((x + 1) * x) div 2) + 1) * (2 + 1)) + 1) * (x + 1))
A130423: 4 14 39 88 170 294 469 704 1008 1390 1859 2424 3094 3878 4785 5824
((((((x * 2) + 1) * (x + 1)) * (2 + 1)) - 1) * (x + 1))
A213826: 2 34 132 332 670 1182 1904 2872 4122 5690 7612 9924 12662 15862 19560 23792
((((((x + 2) * 2) * (x + 1)) * (2 + 1)) + 1) * (x + 1))
A094421: 13 74 219 484 905 1518 2359 3464 4869 6610 8723 11244 14209 17654 21615 26128
(((((((2 + 2) * 2) * 2) * 2) * (2 + 1)) - 1) div (x + 1))
A033415: 95 47 31 23 19 15 13 11 10 9 8 7 7 6 6 5
(((((((x * x) + 2) * x) * 2) div (2 + 1)) + 1) * (x + 1))
A100189: 1 6 27 92 245 546 1071 1912 3177 4990 7491 10836 15197 20762 27735 36336
((((x + 1) * 2) mod (((x div 2) div (2 + 1)) + 1)) * (x + 1))
A078547: 0 0 0 0 0 0 0 0 0 0 0 0 26 14 0 32
compr(\x.((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)),(x + 1))
A065385: 1 2 4 6 10 12 18 24 30 36 42 48 54 60 66 72
(((((x mod (2 + 2)) - 1) * (x mod (2 + 1))) + 1) div (x + 1))
A089811: 1 0 1 0 0 0 0 0 ~1 0 0 0 0 0 0 0
compr(\x.(((((x * x) * x) + 1) mod ((x div 2) + 1)) - 1),(x + 1))
A124134: 1 2 3 5 6 7 9 11 12 13 14 15 17 19 21 23
(((((((x + 2) * 2) * 2) * 2) * (x + 1)) + 1) * (x + 1))
A253707: 17 98 291 644 1205 2022 3143 4616 6489 8810 11627 14988 18941 23534 28815 34832
((1 - (x mod ((((x div (2 + 1)) - 1) * 2) - 1))) div (x + 1))
A016373: 1 1 0 0 0 0 0 0 0 0 0 ~1 ~1 ~1 ~1 0
((((((((2 + 2) * 2) * 2) * 2) + 1) * 2) + 1) div (x + 1))
A033387: 67 33 22 16 13 11 9 8 7 6 6 5 5 4 4 4
compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),(x + 1))
A076643: 1 2 3 4 5 6 7 8 9 11 21 31 41 51 61 71
((2 - (((2 - x) + 1) div (((2 + 1) * 2) + 1))) * (x + 1))
A068902: 2 4 6 8 15 18 21 24 27 30 33 48 52 56 60 64
((((2 - x) * (x * 2)) div (((2 + 1) * 2) + 1)) mod (x + 1))
A194753: 0 0 0 3 2 1 0 6 4 2 10 7 4 1 12 8
((((((((2 + 2) * 2) * 2) + 1) * 2) * 2) + 1) div (x + 1))
A033389: 69 34 23 17 13 11 9 8 7 6 6 5 5 4 4 4
((((x div (((x div 2) div (2 + 1)) + 2)) * 2) - 1) mod (x + 1))
A113215: 0 1 1 1 3 3 3 3 3 5 5 5 5 5 5 5
((2 div (((x + 1) mod (((2 + 2) * 2) * 2)) + 1)) * (x + 1))
A023927: 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32
(((((2 + 2) + 1) * 2) * (((2 + 2) * 2) + 1)) div (x + 1))
A033410: 90 45 30 22 18 15 12 11 10 9 8 7 6 6 6 5
(((x + 1) * 2) - (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)))
A241142: 2 4 6 8 10 12 14 16 17 18 19 20 21 22 23 24
((((((2 + 2) * 2) * 2) + 1) * ((2 + 2) + 1)) div (x + 1))
A033405: 85 42 28 21 17 14 12 10 9 8 7 7 6 6 5 5
((((((2 + 2) * 2) * 2) - 1) * ((2 + 2) + 1)) div (x + 1))
A033395: 75 37 25 18 15 12 10 9 8 7 6 6 5 5 5 4
compr(\x.((x mod ((2 + 1) * 2)) - (x mod ((2 + 2) + 1))),(x + 1))
A032852: 1 2 3 4 6 7 8 9 12 13 14 18 19 24 30 31
(((((x + 1) mod (2 + 2)) - (x div (2 + 2))) + 1) div (x + 1))
A053622: 2 1 1 0 0 0 0 0 0 0 0 ~1 ~1 0 0 ~1
compr(\x.((((x + 2) * x) div 2) mod ((x div (2 + 2)) + 1)),(x + 1))
A094859: 1 2 3 4 6 10
A122907: 1 2 3 4 6 10 12 14 18 22 26 30 34 38 42 46
(((((((2 + 2) * 2) * 2) * 2) + 1) * (2 + 1)) div (x + 1))
A033419: 99 49 33 24 19 16 14 12 11 9 9 8 7 7 6 6
(((((((2 + 2) * 2) * 2) * 2) - 1) * (2 + 1)) div (x + 1))
A033413: 93 46 31 23 18 15 13 11 10 9 8 7 7 6 6 5
(x - ((x div 2) - ((((x * 2) * 2) * (2 + 1)) div (x + 1))))
A283056: 0 7 9 11 11 13 13
((((((x + 2) * 2) * 2) + x) * 2) + ((2 + 1) div (x + 1)))
A006626: 19 27 37 46 56
compr(\x.((x mod (((2 + 2) + 1) * 2)) * (x mod (2 + 1))),(x + 1))
A229307: 3 6 9 10 12 15 18 20 21 24 27 30 33 36 39 40
(((((x * x) - 2) div (x - ((2 - x) div 2))) - 1) mod (x + 1))
A091245: 0 0 0 0 1 2 3 3 4 5 6 6 7 7 8 9
((((((2 + 2) * (x + 1)) + x) * (x * 2)) + 1) * (x + 1))
A100167: 1 38 171 460 965 1746 2863 4376 6345 8830 11891 15588 19981 25130 31095 37936
(((((((x div 2) + 1) * (x div 2)) div 2) - x) + 1) div (x + 1))
A244465: 1 0 0 ~1 0 ~1 0 0 0 0 0 0 0 0 1 0
((((((x + 1) div (2 + 1)) - (x mod 2)) * x) + 1) div (x + 1))
A282537-A058768: 1 0 1 0 1 1 1 1 2 1 2 2 3 2 4 3
((((x mod (((x mod 2) - 2) - 1)) mod 2) * (x + 1)) * (x + 1))
A106548: 0 4 9 16 0 36 0 64 81 100 0 144 0 196 225 256
(((x * 2) - (((x div (2 + 2)) + 2) mod (x + 1))) + (x + 1))
A319515: 1 4 5 8 10 13 16 19 21 24 27 30 32 35 38 41
(((((x * x) * (x * x)) + 1) * ((x * x) + 1)) * (x + 1))
A053717: 1 8 255 3280 21845 97656 335923 960800 2396745 5380840 11111111 21435888 39089245 67977560 113522235 183063616
compr(\x.(((x div 2) mod ((x div ((2 + 2) + 1)) + 1)) mod 2),(x + 1))
A288666: 1 2 3 4 5 8 9 10 11 12 13 16 17 20 21 24
(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * 2) div (x + 1))
A033418: 98 49 32 24 19 16 14 12 10 9 8 8 7 7 6 6
(((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * 2) div (x + 1))
A033414: 94 47 31 23 18 15 13 11 10 9 8 7 7 6 6 5
compr(\x.((x mod ((((2 + 1) * 2) mod (x + 1)) + 1)) mod 2),(x + 1))
A032957: 1 2 3 4 5 6 7 9 11 13 14 16 18 20 21 23
((((x - 2) mod (2 - (x div ((0 - 2) - 1)))) mod 2) * (x + 1))
A103688: 0 0 0 4 0 6 0 0 9 0 0 12 0 0 15 0
compr(\x.(((x div 2) div ((x mod ((2 + 1) * 2)) + 1)) - 2),(x + 1))
A128649-A032894-A032853: 1 2 3 4 5 7 8 9 10 11 14 15 16 17 21 22
(((x mod ((2 - ((x div (2 + 2)) mod 2)) + 1)) div 2) * (x + 1))
A308275: 0 0 3 0 0 0 0 0 9 0 0 12 0 0 0 0
((((((((x + 2) * x) + 2) * 2) * 2) - 1) * 2) * (x + 1))
A173962: 14 76 234 536 1030 1764 2786 4144 5886 8060 10714 13896 17654 22036 27090 32864
compr(\x.(((x * x) mod ((((x + 2) * 2) * 2) + 1)) mod 2),(x + 1))
A279934: 2 4 7 9 10 12 15 17 18 20 22 23 25 28 30 31
((((x - 1) div 2) - (x mod (((2 + 2) + 1) * 2))) mod (x + 1))
A336430: 0 1 1 2 2 3 3 4 4 5 4 4 3 3 2 2
compr(\x.(x mod ((((x mod 2) * x) div ((2 + 2) + 1)) + 2)),(x + 1))
A285517: 2 4 6 8 9 10 12 14 15 16 18 20 22 24 26 28
compr(\x.((((x * 2) * 2) div ((x div (2 + 2)) + 1)) mod 2),(x + 1))
A178843: 1 2 3 4 5 6 7 8 9 11 12 14 16 18 21 22
((x - (1 mod (((((2 - x) + 2) * 2) + 1) * 2))) + (x + 1))
A079212: 0 2 4 6 8 12 18 24 30 36 42 48 54 60 66 72
(((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (x + 1))
A074591: 0 0 0 0 0 6 0 0 0 10 0 12 0 14 15 0
((((((x mod 2) * x) + 1) * ((x div 2) + 1)) div 2) mod (x + 1))
A131728: 0 1 1 0 1 3 2 0 2 5 3 0 3 7 4 0
((((((x + 2) + 2) * (x + 2)) * (x + 1)) + 2) * (x + 1))
A269538: 10 64 222 568 1210 2280 3934 6352 9738 14320 20350 28104 37882 50008 64830 82720
(((((((x + 2) * 2) * 2) + x) * (x + 1)) div 2) * (x + 1))
A142962: 4 26 81 184 350 594 931 1376 1944 2650 3509 4536 5746 7154 8775 10624
((((((x * x) * x) * (x * x)) * (x + 1)) div 2) * (x + 1))
A163275: 0 2 144 1944 12800 56250 190512 537824 1327104 2952450 6050000 11595672 21026304 36386714 60505200 97200000
(((x + 2) * 2) - ((((x - 2) * (x - 1)) div 2) div (x + 1)))
A186387: 3 6 8 10 12 13 15 17 18 20 21 23 24 26 27 29
compr(\x.((x mod (2 - (x mod ((2 + 2) * (0 - 2))))) mod 2),(x + 1))
A226946: 2 4 5 6 8 9 10 11 12 14 15 16 17 18 20 22
(((((x * 2) mod ((x div 2) + 2)) div (0 - 2)) mod 2) * (x + 1))
A322015: 0 0 3 0 0 6 7 0 0 0 11 12 0 14 15 0
((1 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) * (x + 1))
A340301: 0 2 3 8 10 12 14 24 27 30 33 36 39 42 45 64
(((((((2 + 2) * 2) * (2 + 1)) - 1) * 2) * 2) div (x + 1))
A033412: 92 46 30 23 18 15 13 11 10 9 8 7 7 6 6 5
((1 - ((((((x div 2) + x) div 2) + 1) div 2) * 2)) mod (x + 1))
A275868: 0 1 2 3 2 3 4 3 4 5 4 5 4 5 6 5
((((((((x + 2) + 2) + 1) * x) + 1) * 2) * 2) * (x + 1))
A192845: 4 56 180 400 740 1224 1876 2720 3780 5080 6644 8496 10660 13160 16020 19264
(((((((x + 2) * (x + 1)) + 2) + 2) * 2) * 2) * (x + 1))
A167561: 24 80 192 384 680 1104 1680 2432 3384 4560 5984 7680 9672 11984 14640 17664
compr(\x.((x mod ((x mod (((x mod 2) + 2) + 2)) + 2)) - 2),(x + 1))
A176554: 1 2 4 5 6 8 10 11 12 14 15 16 17 18 19 20
((((x mod ((x mod ((x mod 2) + 2)) + 2)) + 2) * 2) * (x + 1))
A195199: 4 12 12 24 20 36 28 48 36 60 44 120 52 84 60 96
((2 - (x mod ((((2 - (x div 2)) div 2) div 2) - 2))) mod (x + 1))
A278354: 0 1 2 3 2 3 2 4 3 2 4 3 2 4 4 3
compr(\x.(((((x * x) * x) mod ((x div 2) + 2)) div 2) - 2),(x + 1))
A055201: 1 2 3 4 5 6 7 8 9 11 12 13 15 17 18 22
((1 - (((x - (x mod ((x mod 2) + 2))) div 2) * 2)) mod (x + 1))
A066727: 0 1 2 3 2 5 2 3 2 3 2 5 2 3 2 3
(((((x * x) * x) * (x + 2)) * ((2 + 2) * 2)) * (x + 1))
A192839: 0 48 768 4320 15360 42000 96768 197568 368640 641520 1056000 1661088 2515968 3690960 5268480 7344000
((x div (((x div 2) + 2) + 2)) + (((2 + 2) * 2) * (x + 1)))
A028438: 8 16 24 32 40 48 56 65 73 81 89 97 105 113 121 129
compr(\x.((x mod ((2 + 1) * 2)) - (x div ((2 + 2) * 2))),(x + 1))
A297258-A296702: 6 12 13 18 19 20 24 25 26 27 30 31 32 33 34 36
compr(\x.((((x div 2) - 2) - 2) * (x mod ((2 + 2) * 2))),(x + 1))
A079239-A079041: 1 2 3 4 5 6 7 8 9 16 24 32 40 48 56 64
((1 - (((x mod (((x div 2) + x) - 2)) mod 2) * 2)) * (x + 1))
A160356: 1 2 3 ~4 5 6 7 ~8 9 ~10 11 ~12 13 ~14 15 ~16
(((((x * x) - (x div 2)) * ((x + 2) + 2)) div 2) div (x + 1))
A222010: 0 1 3 7
A333996: 0 1 3 7 11 17 23 31 40 50 60 72 84 98 113 129
(((x + 1) div (((2 + 1) * 2) + 1)) + ((2 + 2) * (x + 1)))
A187385: 4 8 12 16 20 24 29 33 37 41 45 49 53 58 62 66
((2 div (x - (((2 + 2) * 2) * 2))) + ((2 + 2) * (x + 1)))
A103543: 3 7 11 15 19 23 27 31 35 39 43 47 51 55 59 62
(((x + 2) div (1 - ((2 + 2) * 2))) + ((2 + 2) * (x + 1)))
A329840: 3 7 11 15 19 23 26 30 34 38 42 46 50 53 57 61
(((((x div 2) div (2 + 1)) + x) div 2) + ((2 + 2) * (x + 1)))
A127264: 4 8 13 17 22 26 31 36 40 45 49 54 59 63 68 72
(((((2 + 2) * 2) * (x + 1)) + x) * ((2 + 2) * (x + 1)))
A304380: 32 136 312 560 880 1272 1736 2272 2880 3560 4312 5136 6032 7000 8040 9152
((((((x * 2) + 1) * 2) * 2) + x) * ((2 + 2) * (x + 1)))
A304505: 16 104 264 496 800 1176 1624 2144 2736 3400 4136 4944 5824 6776 7800 8896
(((x * x) div (1 - (((x div 2) + x) + (2 + 2)))) mod (x + 1))
A074796: 0 1 2 2 3 3 4 4 4 4 5 5 6 6 6 7
(((x + 2) + 2) - ((2 - ((x * x) div (2 + 2))) div (x + 1)))
A186493: 2 4 6 7 9 10 11 13 14 15 17 18 19 20 22 23
(((((x * 2) - 1) * x) + ((x * x) div (2 + 2))) div (x + 1))
A113903: 0 0 2 4 6 8 10 12 15 17 19 21 24 26 28 30
((((x mod (((2 + 2) + 1) * 2)) * (1 - x)) div 2) mod (x + 1))
A194747: 0 0 2 1 4 2 6 3 8 4 0 7 2 10 4 13
(((((((x + 1) * x) * (2 + 1)) - 2) * x) div 2) * (x + 1))
A162673: 0 4 48 204 580 1320 2604 4648 7704 12060 18040 26004 36348 49504 65940 86160
((((x + 1) * x) div ((2 + 2) + 1)) + ((x + 2) * (x + 1)))
A194138: 2 6 13 22 34 48 64 83 104 128 154 182 213 246 282 320
((((((((x + 1) div 2) div 2) + 2) + 2) + 1) * x) div (x + 1))
A329202-A318994: 0 2 3 4 4 5 5 6 6 6 6 7 7 7 7 8
((((((2 + 2) * 2) * (x + 1)) * (2 + 1)) + x) * (x + 1))
A157514: 24 98 222 396 620 894 1218 1592 2016 2490 3014 3588 4212 4886 5610 6384
((((((x + 2) + 2) + 2) * ((x * 2) + 1)) + x) div (x + 1))
A072540: 6 11 14 16 18 21
((((x - 2) * x) div ((((2 + 2) * 2) * 2) + x)) mod (x + 1))
A238208: 0 1 0 0 0 0 1 1 2 2 3 3 4 4 5 6
((((((x * x) * (x - 1)) div 2) * (x - 1)) div 2) * (x - 1))
A019584: 0 0 1 18 108 400 1125 2646 5488 10368 18225 30250 47916 73008 107653 154350
(((((((x + 2) + 2) * (x - 1)) - 2) * x) div 2) * (x - 1))
A060783: 0 0 4 36 132 340 720 1344 2296 3672 5580 8140 11484 15756 21112 27720
((((((((x + 2) + 2) + 1) * x) - 2) * x) div 2) * (x - 1))
A289223: 0 0 12 66 204 480 960 1722 2856 4464 6660 9570 13332 18096 24024 31290
(((((((2 + 2) * (2 + 1)) + x) * 2) * x) - x) * (x - 1))
A248598: 0 0 54 174 372 660 1050 1554 2184 2952 3870 4950 6204 7644 9282 11130
(2 - ((((x * x) - 1) div (2 + 1)) * (((1 - x) * x) - 1)))
A309115: 1 2 5 16
A019502: 1 2 5 16 67
((((2 - (x - (((x * 2) * 2) * (x + 1)))) * x) * x) + 1)
A209262: 1 10 97 424 1249 2926 5905 10732 18049 28594 43201 62800 88417 121174 162289 213076
((((x * x) * x) div ((((2 + 2) * 2) * 2) + (x * x))) + 1)
A330513: 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 15
(((((x * x) * x) + 2) div ((x * 2) - 1)) mod ((x * x) + 1))
A081946: 0 1 3 5 9 14 19 26 34 43 52 63 75 87 101 116
(((x - ((x div ((2 + 2) + 1)) mod 2)) mod (2 + 1)) mod (0 - 2))
A059651: 0 ~1 0 0 ~1 ~1 0 0 ~1 0 ~1 0 0 ~1 0 0
(x - ((((((x - 1) * x) div 2) * (2 + 1)) div 2) div (0 - 2)))
A096228: 0 1 3 5 9 13 17 23 29 36 44 52 62 72 82 94
(x - (((x div (2 + 1)) * 2) - (x div ((2 + 2) * (0 - 2)))))
A229878: 0 0 1 0 1 2
A253092: 0 0 1 0 1 2 1 2 3 1 2 3 2 3 4 3
(((x + 1) mod (2 + 2)) mod (2 - ((x div (2 + 2)) div (0 - 2))))
A026840: 1 0 1 0 1 2 0 0 1 2 0 0 1 2 3 0
((x - (((x div (2 + 2)) * (2 + 1)) div 2)) - (x div (0 - 2)))
A092391: 0 2 3 5 5 7 8 10 9 11 12 14 14 16 17 19
((((x div 2) mod ((x mod (((2 + 1) * 2) + 1)) + 1)) + 1) mod 2)
A294623: 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0
((((x - 2) mod (((x div 2) mod ((2 + 2) + 1)) + 1)) + 1) mod 2)
A267687: 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 0
((x - ((x mod ((0 - (x mod ((2 + 2) + 1))) - 1)) + 1)) mod 2)
A318963: 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0
(((((x div 2) + 1) div ((x mod ((2 + 2) + 1)) + 1)) + 1) mod 2)
A342460: 0 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1
(((((x div 2) - 2) mod ((x mod ((2 + 2) + 1)) + 1)) + 1) mod 2)
A267533-A130304: 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1
(((((x div 2) + 1) div (((x - 1) mod (2 + 1)) + 1)) + 1) mod 2)
A119498: 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1
((x - (((2 - x) div (((2 + 2) * (2 + 1)) - 1)) - 1)) * 2)
A309374: 2 4 6 10 12
A336066: 2 4 6 10 12 14 16 18 20 22 24 26 28 30 34 36
((((x div 2) mod ((((x div 2) * 2) mod (2 + 1)) + 1)) + 1) * 2)
A071928: 2 2 4 4 2 2 2 2 4 4 4 4 2 2 4 4
((((x * 2) mod ((((x mod 2) - x) div (2 + 1)) - 1)) + 1) mod 2)
A182741: 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1
((x - ((((1 - x) * 2) mod ((x div (2 + 1)) + 1)) - 1)) div 2)
A048620: 0 1 1 2 2 3 2 4 4 5 4 6 5 6 5 7
((((((x div 2) * x) + 2) mod ((x div (2 + 1)) + 1)) + 1) mod 2)
A295316-A181183: 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0
((x - ((x - 1) div ((x mod ((x div (2 + 1)) + 1)) + 1))) mod 2)
A267708: 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0
((x div 2) - ((x mod ((x div ((x mod (2 + 1)) + 1)) + 1)) div 2))
A328903: 0 0 1 0 2 2 0 2 3 0 3 4 0 3 5 0
((x - ((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) - 1)) mod 2)
A176412: 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1
(((x div (((((2 + 2) * 2) * 2) mod (x + 1)) + 1)) + 1) mod 2)
A089024: 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0
((x div (((x - 1) mod (2 - (x mod ((0 - 2) - 1)))) + 1)) mod 2)
A285274: 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1
((x - (((x * x) div ((2 - (x div (0 - 2))) + 1)) + 1)) mod 2)
A123504: 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0
(((x + 2) - (x div ((x div ((x div (0 - 2)) - 1)) - 1))) + 2)
A105447: 4 6 7 9 10 11 12 14 15 16 18 19 20 22 23 24
((x div ((x div ((((x div (2 + 1)) - 1) * 2) - 1)) - 1)) mod 2)
A164980: 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1
((((x * 2) div (((x div ((2 + 2) + 1)) + 2) + 1)) + 1) mod 2)
A176178: 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0
(((x mod (((x div ((x div (2 + 2)) + 1)) * 2) - 1)) + 1) mod 2)
A128810: 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 1
((((x * x) mod ((((x mod (2 + 2)) + 1) * 2) + 1)) + 1) mod 2)
A208614-A023960: 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1
((((x * x) mod ((((x + 1) mod (2 + 1)) * 2) + 1)) + 1) div 2)
A045833: 0 1 0 0 1 0 0 2 0 0 0 0 0 2 0 0
(((x mod (((((2 - x) div 2) div (2 + 1)) * 2) - 1)) + 1) mod 2)
A303913: 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 1
(((((x div (2 + 2)) - x) mod (((2 + 1) * 2) + 1)) + 1) mod 2)
A087371: 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1
((x mod ((((1 - x) * x) div (((2 + 1) * 2) + 1)) - 1)) mod 2)
A341609-A064911: 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0
((x - (((x * 2) div ((x mod ((2 + 1) * 2)) + 1)) + 1)) mod 2)
A286064: 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1
((((((2 + 2) * 2) + x) div (((x + 1) div 2) + 1)) + 1) mod 2)
A039985: 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1
((x mod (2 - (((x * 2) div (((0 - 2) - 2) - 1)) - 1))) mod 2)
A141474: 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0
((x - ((((x div 2) + x) div (((0 - 2) - 2) - 1)) - 1)) * 2)
A141105: 2 6 8 10 14 16 18 20 24 26 28 32 34 36 40 42
(1 - (((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)) * 2))
A249947: 1 1 3 1 3 1 5 3 1 5 3 1 7 5 3 1
(((x mod (((((x - 1) mod (2 + 1)) + 2) * 2) + 1)) + 1) mod 2)
A229940: 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1
(1 - ((x mod ((x div ((((x + 1) div 2) div 2) + 1)) + 1)) div 2))
A088534: 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0
((x - ((x div (((x div ((0 - 2) - 2)) - 2) - 1)) - 1)) * 2)
A005795: 2 6 8 10 12 14 18
A157502: 2 6 8 10 12 14 18 20 22 24 26 28 30 32 34 38
(((x div (((((x + 1) mod (2 + 2)) * 2) * 2) + 1)) + 1) mod 2)
A323152: 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0
((((x * 2) div (((x - ((2 + 2) * 2)) * 2) - 1)) + 1) mod 2)
A029404: 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1
(((x div (((x mod (((x div 2) mod 2) + 2)) + 2) + 1)) + 1) mod 2)
A266978: 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0
((((((x * x) - 2) * x) mod (((2 + 2) * 2) + 1)) + 1) mod 2)
A266789: 1 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1
(x - ((x - (2 div ((x mod (((2 + 2) * 2) + 1)) + 1))) div 2))
A056039: 1 1 1 2 2 3 3 4 4 6 6 6 6 7 7 8
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1) * 2)
A111650: 2 4 4 6 6 6 8 8 8 8 10 10 10 10 10 12
((x - ((x mod ((x div (((x mod 2) + 2) * 2)) + 1)) + 1)) mod 2)
A317906: 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0
((((x * x) div (((x div ((x mod 2) + 2)) + 2) + 1)) + 1) mod 2)
A143220-A118269-A118268: 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1
((((x div (2 + 1)) div (((x + 1) mod (2 + 2)) + 1)) + 1) mod 2)
A325321: 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0
(((2 - x) mod ((((x * 2) + 1) div ((2 + 2) + 1)) + 1)) div 2)
A011685: 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0
(((2 - x) mod ((((0 - x) - 1) mod ((2 + 2) + 1)) + 1)) div 2)
A025896: 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1
((((x - 1) * 2) div (((x + 1) div ((2 + 2) + 1)) + 1)) mod 2)
A092241: 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1
((((x * 2) + 1) mod (((x + 1) mod ((2 + 2) + 1)) + 1)) div 2)
A044934: 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0
((((x - 1) div 2) div (((x - 1) mod ((2 + 2) + 1)) + 1)) mod 2)
A029433: 1 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1
((((x div 2) - 2) mod (((x - 1) mod ((2 + 2) + 1)) + 1)) mod 2)
A186714: 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0
(1 - (((x + 2) mod (((x - 1) mod ((2 + 2) + 1)) + 1)) div 2))
A327177: 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0
((((x * 2) mod (((x + 1) div 2) + ((2 + 2) + 1))) + 1) mod 2)
A219967-A176505-A176048-A156072: 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1
((x - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 1))) div 2)
A306726: 0 1 2 2 3 4 4 5 6 7 7 8 9 9 9 10
(((((x mod (2 + 1)) * (x + 2)) div ((2 + 2) + 1)) + 1) mod 2)
A285952: 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1
(x div (((x * 2) div (((x * 2) mod ((2 + 2) + 1)) + 1)) + 2))
A334996: 0 0 1 0 1 0 1 1 0 1 0 1 2 0 1 0
(((x + 2) div ((((2 + 1) * x) div ((2 + 2) + 1)) + 1)) + 2)
A036444: 4 5 4 4 4 3 4 3 4 3 3 3 3 3 3 3
((((((1 - x) mod (2 + 1)) - x) mod ((2 + 2) + 1)) + 1) mod 2)
A188076: 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 0
((x - ((x div (1 - ((1 - x) div ((2 + 2) + 1)))) + 1)) mod 2)
A070886: 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1
(((x - 1) div ((((x div 2) * x) mod ((2 + 2) + 1)) + 1)) mod 2)
A025899: 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0
(((((x div 2) + x) + 1) div ((x div ((2 + 2) + 1)) + 1)) mod 2)
A285083: 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1
(((((x - 2) * x) + 2) div ((x div ((2 + 2) + 1)) + 1)) mod 2)
A267188-A154104: 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 1
((((((x div (2 + 1)) - x) * x) div ((2 + 2) + 1)) + 1) mod 2)
A194681: 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1
(((((((x * x) + 2) * x) * x) * ((2 + 2) + 1)) + 1) * 2)
A008512: 2 32 242 992 2882 6752 13682 24992 42242 67232 102002 148832 210242 288992 388082 510752
(((x div (((((2 - x) div 2) - x) mod (2 + 2)) + 1)) + 1) mod 2)
A212412: 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0
(((x div ((((x mod 2) * 2) + (x div (2 + 2))) + 1)) + 1) mod 2)
A011751: 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1
((x - ((((x div 2) * 2) div ((x div (2 + 2)) + 1)) + 1)) mod 2)
A147850: 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 1
((x div ((0 - ((x * x) mod (((x + 2) + 2) + 1))) - 1)) mod 2)
A225183: 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1
((((((x * 2) + 1) * 2) * (((x * 2) * 2) + 1)) - 1) * 2)
A343578: 2 58 178 362 610 922 1298 1738 2242 2810 3442 4138 4898 5722 6610 7562
((((x mod (((2 + 2) * (2 + 1)) - 1)) mod (2 + 1)) + 1) mod 2)
A305385: 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 0
(((x + 1) div (((x mod ((2 + 2) + 1)) * (2 + 1)) + 1)) mod 2)
A029420: 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0
((((x mod 2) - (((x + 1) div (2 + 1)) mod (2 + 1))) + 1) div 2)
A132151: 0 1 0 0 0 0 ~1 0 0 1 0 0 0 0 ~1 0
(((x + 1) mod ((((2 - x) mod (2 + 1)) * (2 + 1)) + 1)) mod 2)
A120524: 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0
(((((x mod (2 + 2)) * (x div (2 + 1))) mod (2 + 1)) + 1) * 2)
A294078: 2 2 2 2 2 4 4 2 2 2 2 2 2 4 6 2
(((((2 - ((x - 1) div 2)) mod (x + 1)) mod (2 + 1)) + 1) div 2)
A109072: 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1
(((x div ((0 - 2) - 2)) div (((x - 1) mod (2 + 1)) + 1)) mod 2)
A135947-A075897: 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0
((((x - (((x div 2) div (2 + 1)) * 2)) div (2 + 1)) + 1) * 2)
A106160: 2 2 2 4 4 4 4 4 6 6 6 8 6 8 8 8
((x div ((x div (x - (((2 + 1) * 2) * (2 + 1)))) - 1)) mod 2)
A288670: 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1
((((x div 2) + 2) div ((((x + 1) div 2) mod (2 + 1)) + 1)) mod 2)
A189081: 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1
(((x * x) * x) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A070508: 0 1 8 27 18 33 32 21 6 39 34 43 26 35 30 17
(((((((x * x) - (x div 2)) div 2) div 2) mod (2 + 1)) + 1) div 2)
A137331-A135136: 0 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0
(((((((x * x) * (x div 2)) div 2) div 2) div (2 + 1)) + 1) mod 2)
A327866: 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0
((x - (x div (((x div 2) - ((2 + 2) * (2 + 1))) + 1))) div 2)
A103355: 0 1 1 2 2 3 3 4 5 5 6 6 7 8 9 9
(((x * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) + 1) * 2))
A070569: 0 1 16 3 22 1 22 9 14 9 16 3 14 13 14 3
((x - ((1 - (x * x)) div (((2 + 2) * (2 + 1)) + 1))) * 2)
A191965: 0 2 6 8 12 14 18 22 26 32
(((x * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A070541: 0 1 16 15 14 9 20 3 4 5 12 11 12 5 4 3
(((x + 1) mod 2) - ((x mod (((2 + 2) * (2 + 1)) - 1)) mod 2))
A016275-A016231-A016143-A015967-A015835-A015747-A015615-A015571-A015483-A015351-A015307-A015175-A015043-A014955-A014911-A014823-A014691-A014647-A014515-A014427-A014383: 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 0 0 0 0 0
(((x * 2) div ((((2 - x) mod (2 + 2)) * (2 + 1)) - 1)) mod 2)
A330731: 0 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1
(((x mod ((((x mod 2) * x) div (2 + 2)) + (2 + 1))) + 1) mod 2)
A082960: 1 0 1 1 0 0 1 0 1
A132138: 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0
((((2 - x) + 1) div ((((x div 2) + 2) div (2 + 1)) + 1)) mod 2)
A120528: 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1
((((x + 1) div 2) div ((((x div 2) + 2) div (2 + 1)) + 1)) mod 2)
A288864: 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 0
(((x mod ((((0 - x) * (x div 2)) div 2) + (2 + 1))) + 1) mod 2)
A323045: 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0
((((x * 2) - 1) div ((((x mod 2) - 2) * (2 + 1)) - 1)) mod 2)
A082410: 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0
((((((((x div 2) * x) - 1) * x) div 2) div (2 + 1)) + 1) mod 2)
A029694: 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1
(((1 - x) mod (((((x - 1) * x) div 2) div (2 + 1)) + 1)) div 2)
A258470: 0 0 0 0 0 0 0 1 1 2 3 4 6 7 9 11
((((x div 2) + 2) mod ((((2 - x) div 2) div (2 + 1)) - 1)) mod 2)
A343606: 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1
(((((1 - (x div (2 + 2))) * (x + 2)) div (2 + 1)) + 1) mod 2)
A246500: 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1
((((((x * 2) - (x mod 2)) * (x div 2)) div (2 + 1)) + 1) div 2)
A211541: 0 0 1 1 3 3 6 7 11 11 17 18 24 25 33 34
(((x mod 2) + 2) - ((x div (((x div 2) div (2 + 1)) + 1)) mod 2))
A194318: 2 2 2 2 2 2 1 2 2 3 1 2 2 3 2 2
(1 - (((2 - (x * x)) div (((x div 2) div (2 + 1)) + 1)) mod 2))
A335833: 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0
(((((x mod ((x div (2 + 1)) + 1)) + x) mod (2 + 1)) + 1) mod 2)
A071982: 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1
(((((((2 + 2) * 2) div (x + 1)) + x) mod (2 + 1)) + 1) mod 2)
A188082-A085369: 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1
(1 - ((((x + 1) * 2) mod (((2 - x) div (2 + 1)) - 1)) div 2))
A255350: 1 1 1 1 1 1 2 2 1 1 2 1 3 2 1 3
((((x mod ((2 + 2) - ((x div 2) * x))) mod (2 + 1)) + 1) mod 2)
A121967: 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0
((((x div (((x mod 2) - 2) * 2)) + (x div (2 + 1))) + 1) mod 2)
A285617: 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0
((((x mod ((0 - 2) - 2)) + 1) mod ((x div (2 + 1)) + 1)) mod 2)
A244063: 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0
(((((1 - x) * (2 + 2)) + 1) mod ((x div (2 + 1)) + 1)) div 2)
A079692: 0 0 0 0 0 0 1 0 0 0 0 0 1 1 2 2
(x mod ((((2 - x) * (x - 1)) mod ((x div (2 + 1)) + 1)) + 2))
A338498: 0 1 0 1 0 1 0 1 0 1 0 3 0 3 2 3
((1 - (((x * x) * (1 - x)) div ((x div (2 + 1)) + 1))) mod 2)
A127872: 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0
(((((x + 2) + 2) * (2 - x)) mod ((x div (2 + 1)) + 1)) div 2)
A035447: 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 2
(((x div 2) div ((((x div 2) mod 2) + (x mod (2 + 1))) + 1)) mod 2)
A152592-A059437: 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1
((x - ((((x div 2) + x) + 1) div ((x mod (2 + 1)) + 1))) mod 2)
A115955-A106344-A077051: 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0
(((((x div ((2 + 2) + 1)) + (x * x)) mod (2 + 1)) + 1) mod 2)
A283876-A024939: 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1
(((x mod ((((((x mod 2) + 2) * 2) - x) * 2) - 1)) + 1) mod 2)
A276799: 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1
((x - (((((x * x) div 2) + 2) div ((x + 2) + 1)) - 1)) * 2)
A020887: 2 4 6 6 8 10 10 12 12 14 14 16 18 18 20 20
(((x + 1) div ((((2 + 1) * x) mod ((x + 2) + 1)) + 1)) mod 2)
A082960: 1 0 1 1 0 0 1 0 1
A118174-A075438: 1 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1
((((((x + 1) * x) + (2 + 1)) * ((x * 2) + 1)) + 1) * 2)
A159941: 8 32 92 212 416 728 1172 1772 2552 3536 4748 6212 7952 9992 12356 15068
(((x + 1) mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 1)) div 2)
A036857: 0 0 0 0 0 0 0 1 0 0 0 0 3 0 0 1
((x - (((x mod ((2 + 2) * 2)) mod ((x div 2) + 1)) - 1)) div 2)
A072376: 0 1 1 1 2 2 2 2 4 4 4 4 4 4 4 4
((x mod 2) - ((x mod (((2 + 2) mod ((x div 2) + 1)) + 1)) mod 2))
A334195: 0 1 0 1 0 0 0 1 ~1 1 0 0 0 0 0 1
((x mod (((((2 - x) * 2) - x) mod ((x div 2) + 1)) + 1)) div 2)
A151755: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3
((((x * x) div (((x div (2 + 1)) + (x mod 2)) + 1)) + 1) mod 2)
A255887: 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1
(((((x * x) * x) mod ((x div (2 - (x mod 2))) + 1)) + 1) div 2)
A160588: 0 1 0 2 1 3 0 4 1 5 2 6 3 7 0 8
(((((((2 + 2) * (2 + 1)) + 1) * 2) * (x + 1)) - 1) * 2)
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(((((x mod (((x div 2) mod 2) + 2)) + 2) mod (x + 1)) + 1) div 2)
A286574: 0 1 1 1 1 2 1 2 1 2 2 2 1 2 2 1
((((0 - (x mod (((x div 2) + 2) + 2))) mod (x + 1)) + 1) mod 2)
A029435: 1 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1
((((((x div ((x mod 2) + 2)) * x) + 2) div (x + 1)) + 1) mod 2)
A095111: 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1
((((0 - x) - 1) mod (2 - ((x div 2) div ((0 - 2) - 1)))) div 2)
A095808: 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 2
(2 - ((2 - x) div (2 - (x div ((x mod ((0 - 2) - 1)) - 2)))))
A340033: 1 2 2 3 3 3 3 4 4 3 4 4 4 4 4 4
(((x * x) div (((((1 - x) mod (2 + 1)) + 1) * 2) + 1)) mod 2)
A191322: 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1
(((((2 - (x * x)) mod ((x div (2 + 1)) + 1)) div 2) + 1) mod 2)
A082451: 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1
((((2 - x) * 2) div ((((x mod (2 + 1)) + 1) * 2) + 1)) mod 2)
A090172: 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1
((x div ((x div ((x mod ((x div (0 - 2)) - 1)) - 2)) - 1)) mod 2)
A165191: 0 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0
((((x mod (2 - (x div (((0 - 2) - 2) - 1)))) div 2) + 1) mod 2)
A205083: 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1
((1 div ((((x + 2) mod (((2 + 2) * 2) + 1)) * 2) - 1)) + 2)
A194322: 2 2 2 2 2 2 2 1 3 2 2 2 2 2 2 2
((x mod (((2 - (x mod (((2 + 2) * 2) + 1))) * 2) + 1)) mod 2)
A288596: 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0
((((x * x) div (((x + 2) mod ((2 + 2) + 1)) + 2)) + 1) mod 2)
A189289: 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1
((x mod ((((1 - (x div 2)) mod ((2 + 2) + 1)) * 2) + 1)) mod 2)
A285949: 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0
((((x - 1) * 2) div (((x div ((2 + 2) + 1)) + 2) + 1)) mod 2)
A030315: 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0
((((x + 2) + 2) mod (((x div ((2 + 2) + 1)) + 2) + 1)) mod 2)
A266672: 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1
(((2 - x) mod (((((2 - x) mod (2 + 2)) + 1) * 2) + 1)) mod 2)
A175253: 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1
((((x - (x div (((2 - x) mod (2 + 2)) + 1))) div 2) + 1) mod 2)
A266848: 1 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1
(((2 - x) mod (((x div ((x mod (2 + 2)) + 1)) + 2) + 1)) mod 2)
A026921: 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1
((((x * 2) + 1) mod (((((x div 2) mod 2) + 1) * 2) + 1)) mod 2)
A029428: 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1
(((x + 2) div (x - (((((x div 2) mod 2) + 1) * 2) + 1))) mod 2)
A260552: 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1
(((x + 1) div ((((x div ((x mod 2) + 2)) + 1) div 2) + 1)) mod 2)
A325336-A319368-A068934: 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0
((x mod (((((x div (2 + 1)) - 1) mod (2 + 1)) * 2) + 1)) div 2)
A060175: 0 0 1 0 0 0 0 0 1 2 0 0 0 0 0 0
(x - ((x div ((((x div (2 + 1)) mod (2 + 1)) + 2) + 1)) * 2))
A216209: 0 1 2 3 2 3 4 5 6 3 4 5 6 7 8 9
((x - ((x div ((x mod ((0 - 2) * (2 + 1))) - 2)) - 1)) mod 2)
A295895: 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1
(1 - ((x mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1)) div 2))
A308035-A221131: 1 1 1 1 1 1 1 1 0 1 1 1 ~1 ~2 1 1
(((x + 2) mod (((((2 - x) div 2) div (2 + 1)) * 2) - 1)) mod 2)
A288372: 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0
(2 - (((x * 2) div ((((x * 2) mod (2 + 1)) * 2) + 1)) mod 2))
A270647: 2 2 1 2 1 1 2 2 1 2 2 1 2 1 1 2
(1 - (((0 - x) mod ((((x div 2) mod (2 + 1)) + 2) + 1)) div 2))
A117201: 1 0 0 1 1 1 1 0 1 0 1 ~1 1 0 0 1
((x + 1) mod (((((x div 2) + 1) mod ((2 + 1) * 2)) + 1) * 2))
A322629: 1 2 3 4 5 6 7 8 9 10 1 0 1 2 3 4
((x - ((1 - x) div (((x - 1) mod ((2 + 1) * 2)) + 1))) mod 2)
A284653: 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0
((((((x div 2) + (x * 2)) + 2) mod ((2 + 1) * 2)) + 1) div 2)
A190491: 1 2 1 2 0 1 3 1 2 0 2 3 1 2 1 2
((x mod 2) - (((((x div 2) + 2) mod ((2 + 1) * 2)) - 1) div 2))
A137412: 0 1 ~1 0 ~1 0 ~2 ~1 1 2 0 1 0 1 ~1 0
((((x + 1) * 2) - ((x + 1) mod (((2 + 1) * 2) + 1))) * 2)
A194390: 2 4 6 8 10 12 28 30 32 34 36 38 40 56 58 60
(((((x mod (2 + 1)) * x) - 2) mod (((2 + 1) * 2) + 1)) mod 2)
A295889: 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1
((((((x + 2) + 1) * x) div 2) * (((2 + 1) * 2) + 1)) + 2)
A166154: 2 16 37 65 100 142 191 247 310 380 457 541 632 730 835 947
(((((x * x) - 1) * (x + 2)) div (((2 + 1) * 2) + 1)) mod 2)
A116681: 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0
((((x * x) * x) * (x * x)) mod ((((2 + 1) * 2) + 1) * 2))
A070599: 0 1 4 5 2 3 6 7 8 11 12 9 10 13 0 1
((((((x mod 2) - 2) - 1) * x) div (((2 + 1) * 2) + 1)) mod 2)
A074322-A054638: 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1
(((((x div 2) div (2 + 1)) + x) * (((2 + 1) * 2) + 1)) + 2)
A131189: 2 9 16 23 30 37 51 58 65 72 79 86 100 107 114 121
(((x + 2) * x) div (((1 - x) mod (((2 + 1) * 2) + 1)) + 2))
A168368: 0 1 1 2 4 7 12 21
((((((x - 2) * x) - 1) * x) div (((2 + 1) * 2) + 1)) mod 2)
A200244: 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1
(((((x mod (2 + 1)) + 2) * x) mod (((2 + 1) * 2) + 1)) mod 2)
A332219-A122257: 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0
((((((x div 2) + x) + 2) * x) div (((2 + 1) * 2) + 1)) mod 2)
A289112-A289025-A276794: 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1
((((x div (2 + 1)) + (x * x)) div (((2 + 1) * 2) + 1)) mod 2)
A093386: 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0
(x div (1 - ((1 - x) div (((x mod ((2 + 1) * 2)) + 1) + 2))))
A262689-A064876: 0 1 1 1 2 2 2 2 2 3 3 3 2 3 3 3
(((((((x div 2) div (2 + 1)) + x) * (2 + 1)) div 2) + 1) * 2)
A132895: 2 4 8 10 14 16 22 26 28 32 34 38 44 46 50 52
((x * 2) mod ((x mod ((((1 - x) mod (2 + 1)) * 2) + 1)) + 2))
A035639: 0 0 0 0 0 0 0 0 1 0 0 1 0 0 4 0
((((((((x div 2) + 1) div 2) * x) div (2 + 1)) mod 2) + 1) * 2)
A195051: 2 2 2 4 4 4 2 2 4 2 2 4 2 4 2 2
((x div ((((((x div 2) mod 2) + x) mod (2 + 1)) + 2) + 1)) div 2)
A342846-A045888: 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 1
(((x - 2) mod (((((x mod 2) + x) div (2 + 1)) + 2) + 1)) mod 2)
A288375: 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1
((((((x + 1) mod (2 + 1)) + (x div (2 + 1))) div 2) + 1) div 2)
A053260: 0 1 0 1 1 0 1 1 1 1 1 1 1 2 1 2
(((((2 + 2) * (x + 1)) div ((x div (2 + 1)) + 2)) - 1) div 2)
A325120-A080773: 0 1 2 2 2 3 3 3 4 3 3 4 3 4 4 4
(((1 - x) mod (((x div 2) - ((x div (2 + 1)) mod 2)) + 1)) * 2)
A066285: 0 0 2 0 2 0 6 4 6 0 2 0 6 4 6 0
((((x - (((x div 2) + 2) * (x mod (2 + 1)))) div 2) + 1) mod 2)
A155029-A134540-A089052-A059883: 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0
((x + 1) div (((x + 1) mod (((x mod (2 + 1)) + 2) + 1)) + 2))
A175001: 0 0 0 1 1 2 2 4 1 3
(((((((x div 2) + x) * x) + (x mod (2 + 1))) div 2) + 1) mod 2)
A181656: 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0
(((((x + 2) mod (((x div 2) * (x div 2)) + 1)) div 2) + 1) div 2)
A237720: 0 0 0 0 0 1 2 2 3 3 3 3 4 4 4 4
(((((((1 - x) * 2) + 1) mod ((x div 2) + 1)) div 2) + 1) mod 2)
A268240: 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1
((x - (((x * 2) - 1) div ((((x div 2) + 1) div 2) + 1))) div 2)
A337634: 0 0 0 0 0 0 1 1 1 2 3 3 3 3 4 5
(((((x + 2) * x) - 2) div ((((x div 2) + 1) div 2) + 1)) mod 2)
A093318: 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 0
(((x * x) div ((((2 - x) mod ((x div 2) + 1)) div 2) + 1)) mod 2)
A061265: 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0
((((((x * x) * x) div (((x div 2) + x) + 1)) div 2) + 1) mod 2)
A190233: 1 1 0 1 1 0 1 0 0 1 0 0 0 1 1 0
(((((((x div 2) + 2) div (2 + 1)) * (x + 1)) div 2) + 1) mod 2)
A307837: 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1
(((((((x div 2) div (2 + 1)) - 2) mod (x + 1)) div 2) + 1) mod 2)
A316917: 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1
((((x * x) div ((((2 + 1) * 2) mod (x + 1)) + 2)) + 1) mod 2)
A319372-A319367-A176510-A176047-A106465-A051031: 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1
(2 div ((((x * x) * (x - 2)) mod (((x + 1) * 2) + 1)) + 2))
A231367: 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0
(((((2 - x) * (2 + 1)) + 1) div (((x + 1) div 2) + 1)) mod 2)
A011747: 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1
(((((x - 1) * x) * (x - 1)) div (((x + 1) div 2) + 1)) mod 2)
A065715: 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0
((((((x * 2) * 2) - 1) * 2) div (((x + 1) div 2) + 1)) mod 2)
A263657: 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1
(((x div ((2 + 2) * 2)) - (x mod (((0 - 2) - 2) - 1))) mod 2)
A219071: 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1
(((1 - x) mod (((x mod 2) - (x div ((0 - 2) - 2))) + 1)) div 2)
A236358-A236325-A234503: 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 2
((x - ((((x - 1) mod (2 - (x div (0 - 2)))) div 2) - 1)) div 2)
A194241: 0 1 1 1 2 2 3 4 4 5 5 5 6 6 6 7
((((x - ((2 - x) mod (2 - (x div (0 - 2))))) div 2) + 1) mod 2)
A286813: 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1
(((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2)
A285716: 0 0 0 0 1 0 0 1 0 0 1 0 1 2 0 0
(((2 + 2) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) * 2)
A330487: 0 0 0 0 2 2 2 2 2 2 2 2 8 8 8 8
(((x * x) div (((((x div 2) mod (2 + 1)) + 2) * 2) + 1)) mod 2)
A093383: 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0
((x mod ((((((x * x) div 2) mod (2 + 1)) - 2) - 2) - 1)) mod 2)
A327222: 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1
((x div ((x div (((x + 2) mod ((2 + 1) * 2)) + 2)) + 1)) mod 2)
A174282: 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1
((((x div 2) + 1) div (((x mod ((2 + 1) * 2)) * 2) + 1)) mod 2)
A025911: 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1
(((((x * x) * x) div (((x div (2 + 1)) + 2) + 2)) + 1) mod 2)
A104338: 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0
((((x * 2) + 1) div ((((x div (2 + 1)) * 2) * 2) - 1)) mod 2)
A305080: 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1
((((x + 2) div ((2 - ((x mod (2 + 1)) mod 2)) + 2)) + 1) mod 2)
A267679: 1 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1
((((((x * x) mod (((2 + 1) * x) - 1)) div 2) div 2) + 1) mod 2)
A260397: 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0
((x - (((x * x) + 1) mod ((((x + 1) div 2) div 2) + 1))) div 2)
A338624: 0 0 1 1 1 2 2 2 3 4 4 4 5 5 6 7
((((((((2 + 2) * 2) + x) * (x + 1)) + 2) * 2) + 1) * 2)
A153644: 42 82 130 186 250 322 402 490 586 690 802 922 1050 1186 1330 1482
((((x - (((x div (2 + 1)) * (x - 1)) div 2)) div 2) + 1) mod 2)
A194677-A194667: 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1
((((((x mod (2 + 1)) - 1) * ((x - 1) div 2)) div 2) + 1) mod 2)
A082416: 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1
((((x + 2) - (x div ((x div ((0 - 2) - 2)) - 2))) + 1) * 2)
A177712-A054741: 6 10 12 14 18 20 22 24 26 28 30 34 36 38 40 42
(((x div (((((x - 2) div (2 + 1)) mod 2) - 2) * 2)) + 1) mod 2)
A029437: 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1
(((x div ((x div ((x mod ((2 + 1) * 2)) + 2)) + 2)) + 1) mod 2)
A133081: 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0
(((x - 1) div (((((x mod (2 + 1)) mod 2) + 2) * 2) + 1)) mod 2)
A266608: 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0
(((x - 1) mod ((((((x div 2) + 1) div 2) div 2) + 2) + 1)) div 2)
A090723: 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 2
((x - (x div ((((x mod ((0 - 2) - 2)) - 2) - 2) - 1))) mod 2)
A052344: 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0
((((x div ((((x mod (2 + 1)) div 2) - 2) * 2)) div 2) + 1) mod 2)
A029405: 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1
(((x div (((x mod (1 - ((2 + 2) * 2))) - 2) * 2)) + 1) mod 2)
A025917: 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0
(x - (((x div ((x - (((2 + 2) * 2) * 2)) * 2)) + 1) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A191890: 0 1 2 3 4 5 6 7 8 9 10 12 13 14 16 19
(((x div (((x mod (((x div 2) mod 2) + 2)) + 2) * 2)) + 1) mod 2)
A010056: 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0
(((((x + 1) mod ((((x mod 2) + 2) + 2) + 2)) div 2) + 1) mod 2)
A288929: 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0
(((x * x) mod ((((((x mod 2) - 2) * 2) * 2) * 2) + 1)) mod 2)
A180433: 0 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0
(x mod ((((1 - (x mod (1 - ((2 + 2) * 2)))) * 2) + 1) * 2))
A269165: 0 1 2 3 4 5 6 1 8 9 10 11 12 3 2 15
((((2 - (x * x)) div 2) mod ((((2 + 2) * 2) * 2) + 1)) mod 2)
A320655-A285313-A189298-A065043: 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1
(((x * x) * (x * x)) mod (((((2 + 2) * 2) * 2) + 1) * 2))
A070577: 0 1 16 13 18 13 4 21 16 33 4 21 30 1 30 33
((x div ((((x + 1) * x) mod (((2 + 2) * 2) * 2)) - 1)) mod 2)
A085252: 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 1
(((x + 1) mod ((((1 - x) mod ((2 + 2) * 2)) * 2) + 1)) mod 2)
A040053: 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1
((((x - (((x mod 2) * x) mod ((2 + 2) * 2))) div 2) + 1) div 2)
A262676: 0 0 1 0 1 0 2 0 2 2 3 2 3 2 4 2
((((2 - x) + 1) mod (((x - ((2 + 2) * 2)) * 2) - 1)) mod 2)
A083651: 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1
(((((x mod 2) + x) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod 2)
A071030-A071029: 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1
((((x - ((1 - x) div ((x mod (2 + 2)) + 2))) div 2) + 1) mod 2)
A285533: 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0
((((x + 1) div ((x div ((x mod (2 + 2)) + 2)) + 2)) + 1) mod 2)
A322217: 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0
(((x mod (((x + 2) div (((x div 2) mod 2) + 2)) + 2)) + 1) mod 2)
A128973: 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0
((x mod (((((x + 2) mod ((x mod 2) + 2)) - 2) - 2) - 1)) mod 2)
A143542: 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0
((((x * x) - 2) div (((((x mod 2) + 2) * 2) * 2) + 1)) mod 2)
A068432: 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1
((((x + 1) div ((x div (((x mod 2) + 2) * 2)) + 2)) + 1) div 2)
A318464: 0 1 1 1 1 2 1 1 1 2 1 2 1 2 2 2
(((x + 1) mod (((((x - 1) div 2) mod (2 + 2)) * 2) + 1)) div 2)
A227837: 0 0 0 0 1 0 1 0 1 0 0 0 0 2 0 1
(((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) div 2)
A324351-A004198: 0 0 0 0 1 0 0 0 0 0 0 1 2 1 0 0
((x * 2) - ((((x - ((x div 2) mod (2 + 2))) div 2) - 1) div 2))
A287724-A284590: 1 3 5 6 8 10 12 14 15 17 19 20 22 24 26 28
((1 - ((x + 1) mod ((x div (1 - ((2 + 2) * 2))) - 1))) mod 2)
A291195: 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1
(((((x + 2) * (x + 1)) div 2) * (((2 + 2) * 2) + 1)) - 2)
A179436: 7 25 52 88 133 187 250 322 403 493 592 700 817 943 1078 1222
(((x + 1) * 2) - (((x * 2) div (((2 + 2) * 2) + 1)) mod 2))
A291171: 2 4 6 8 10 11 13 15 17 20 22 24 26 28 29 31
((x div (x - (1 - ((x * 2) mod (((2 + 2) * 2) + 1))))) + 2)
A306396: 2 2 2 2 2 3 2 2 2 3 2 2 2 2 3 2
((x mod (((x mod (2 + 1)) * x) - (((2 + 2) * 2) + 1))) mod 2)
A174207: 0 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1
((((((x mod 2) * x) + 2) * x) div (((2 + 2) * 2) + 1)) mod 2)
A219098: 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0
(((x * 2) + 1) mod ((x mod ((x div ((2 + 2) * 2)) + 1)) + 2))
A194329: 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 1
((((((x div 2) mod 2) + x) - (x div ((2 + 2) * 2))) + 1) div 2)
A157477: 0 1 2 2 2 3 4 4 4 4 5 6 6 6 7 8
(((((x div 2) + 2) div (((1 - x) mod (2 + 2)) + 2)) + 1) div 2)
A332761: 0 1 0 0 1 1 1 1 1 2 1 1 1 2 1 1
(((((x - 1) * (2 + 1)) div ((x div (2 + 2)) + 2)) + 1) mod 2)
A267126: 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1
((x - ((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) + 1)) mod 2)
A288741: 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1
(1 - ((x mod (((x + 2) div ((x div (2 + 2)) + 2)) + 1)) div 2))
A143242: 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0
((((x div (2 + 1)) + 1) div (((x mod (2 + 2)) * 2) + 1)) mod 2)
A104637: 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0
((((((x * x) * (x * 2)) mod ((x + 2) + 2)) div 2) + 1) mod 2)
A175479: 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1
((((((x * x) + 2) * 2) div (((x + 2) + 2) + 2)) + 1) mod 2)
A189126: 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0
(((((((2 - x) + 1) * x) mod ((x + 2) + 2)) div 2) + 1) mod 2)
A267178: 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0
(((x mod ((((x * 2) + 1) mod ((x div 2) + 2)) + 2)) + 1) mod 2)
A169591: 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0
(((((x div (2 + 1)) + 2) div (((x div 2) mod 2) + 2)) + 1) div 2)
A303940: 1 1 0 1 1 1 1 1 1 1 1 1 2 2 1 1
(((x - 1) div ((x mod (((2 - (x mod 2)) * 2) * 2)) + 1)) mod 2)
A025909: 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1
((x - (((x + 2) * 2) div ((((x mod 2) + 2) * 2) + 1))) mod 2)
A189011: 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1
((((x div 2) * x) - (x div ((((x mod 2) + 2) * 2) + 1))) mod 2)
A234577: 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1
(((x div 2) mod (((x * x) mod (((x mod 2) + 2) * 2)) + 1)) + 2)
A270776: 2 2 2 3 2 2 2 3 2 2 2 3 2 2 2 5
(1 - ((x mod ((((x div (0 - 2)) - 1) mod (2 + 2)) + 1)) div 2))
A188011: 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0
(((x - 1) mod ((((x - 2) div (2 + 1)) * (2 + 2)) - 1)) mod 2)
A339661-A322075-A320656: 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0
((x - (1 - (2 div ((((x div 2) + 1) mod (2 + 2)) + 1)))) div 2)
A194167: 0 0 0 1 1 2 3 4 4 4 4 5 5 6 7 8
(((x + 1) div ((x mod (x - ((x + 1) mod (2 + 2)))) + 1)) mod 2)
A341040: 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0
(1 - ((x mod (((((1 - x) * x) div 2) mod (2 + 2)) + 1)) div 2))
A188017: 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0
((((x * x) mod (((x - 2) * 2) - 1)) mod ((2 + 2) + 1)) mod 2)
A115199: 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0
(((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) * 2)
A022804: 4 8 14 18 24 28 32 38 42 48 52 56 62 66 72 76
(((((x - 1) * 2) mod ((x + 2) + 1)) mod ((2 + 2) + 1)) mod 2)
A267145: 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0
(((((((x div 2) + x) + 1) * x) - 1) div ((2 + 2) + 1)) mod 2)
A267848: 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0
(((((x div ((x mod 2) + 2)) * x) - 1) div ((2 + 2) + 1)) mod 2)
A004585: 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0
(((((2 - x) mod (2 + 1)) * (x + 1)) mod ((2 + 2) + 1)) div 2)
A091396: 1 1 0 1 0 0 2 1 0 0 0 0 0 2 0 1
((((((2 + 2) * 2) * 2) * (x + 1)) div ((2 + 2) + 1)) * 2)
A189781: 6 12 18 24 32 38 44 50 56 64 70 76 82 88 96 102
((x div 2) - ((x - 1) div (((x + 1) div ((2 + 2) + 1)) + 2)))
A029195: 1 0 1 0 1 1 2 1 2 2 3 3 4 3 5 5
((x - (((((x div 2) + x) * x) + 1) div ((2 + 2) + 1))) mod 2)
A268411: 0 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1
((x - (((x div ((2 + 2) + 1)) mod 2) * ((2 + 2) + 1))) * 2)
A004520: 0 2 4 6 8 0 2 4 6 8 20 22 24 26 28 20
((((((1 - x) * (x div 2)) + 1) div 2) div ((2 + 2) + 1)) mod 2)
A242041: 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0
((((((x div 2) + 2) * x) div (2 + 2)) div ((2 + 2) + 1)) + 2)
A141053: 2 2 2 2 2 3 3 3 4 4 5 5 6 7 8 8
(((((x div (2 + 2)) * (x + 2)) - 2) div ((2 + 2) + 1)) mod 2)
A176137: 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1
((((1 - (x * x)) mod ((x + 2) + 2)) mod ((2 + 2) + 1)) mod 2)
A105594: 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0
(((((x - 1) * 2) mod ((x div 2) + 2)) div ((2 + 2) + 1)) + 2)
A263206: 2 2 2 2 2 2 2 2 2 2 2 3 3 2 3 2
(((((0 - x) * x) * ((x div 2) + 2)) div ((2 + 2) + 1)) mod 2)
A189084: 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1
(((((((x mod 2) * 2) + 1) * x) - 2) div ((2 + 2) + 1)) mod 2)
A070912: 1 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0
((((((x + 1) mod (2 + 1)) + x) div 2) mod ((2 + 2) + 1)) mod 2)
A327861: 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1
(((x - (((x div (2 + 1)) * x) + 2)) mod ((2 + 2) + 1)) mod 2)
A267037: 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1
(((((((x + 1) div 2) div 2) * x) - 2) div ((2 + 2) + 1)) mod 2)
A179830: 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1
((x + 2) - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2)))
A139255: 2 4 5 6 8 9 10 12 13 14 16 17 18 19 20 21
((1 - x) mod (1 - ((((2 - x) div 2) div ((2 + 2) + 1)) * 2)))
A002188: 0 0 0 1 0 2 1 0 2 1 0 2 1 3 2 1
(x div (x - (((x - ((2 - x) div 2)) div ((2 + 2) + 1)) * 2)))
A112753: 0 1 1 1 2 1 1 2 2 1 1 2 2 1 2 2
((((x + 1) * 2) div (x - ((x + 2) mod ((2 + 2) + 1)))) mod 2)
A324323-A306550-A187081: 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 0
((((x + 1) div (2 + 1)) - ((x - 2) mod ((2 + 2) + 1))) mod 2)
A133566: 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0
(((x + 1) div (x - (2 - ((x * 2) mod ((2 + 2) + 1))))) mod 2)
A267868: 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1
(((x div (2 + 1)) + 2) div (((x * 2) mod ((2 + 2) + 1)) + 2))
A025838: 1 0 0 1 0 1 1 0 1 1 2 1 1 2 1 3
((x + 1) mod (2 - (x div (((x div 2) mod ((2 + 2) + 1)) + 2))))
A016396-A016386-A016368-A016359-A014029: 1 0 1 0 0 0 0 0 0 0 ~1 0 ~1 0 0 0
(0 - (x div ((x mod ((x div 2) + 1)) - (((2 + 2) + 1) * 2))))
A174576: 0 1 1 1 1 1 1 1 2 2 2 3 3 4 4 5
(x - ((x + 2) div (((x + 1) div 2) - (((2 + 2) + 1) * 2))))
A068095: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24
(((0 - x) - ((x div (2 + 2)) + 2)) mod (((2 + 2) + 1) * 2))
A071877: 8 7 6 5 3 2 1 0 8 7 6 5 3 2 1 0
((((x * x) * (x * x)) - (2 + 2)) mod (((2 + 2) + 1) * 2))
A088667: 6 7 2 7 2 1 2 7 2 7 6 7 2 7 2 1
(((((2 + 2) + 1) * x) * 2) + (x mod (((2 + 2) + 1) * 2)))
A302801: 0 11 22 33 44 55 66 77 88 99 100 111 122 133 144 155
(x - (((((x - 1) div (2 + 1)) - x) * ((2 + 2) + 1)) div 2))
A047543: 3 4 7 11 12 15 19 20 23 27 28 31 35 36 39 43
(x - (((((x - 2) div (2 + 1)) - x) * ((2 + 2) + 1)) div 2))
A047556: 3 6 7 11 14 15 19 22 23 27 30 31 35 38 39 43
(1 - (((x div 2) - (((x + 1) * x) div ((2 + 2) + 1))) div 2))
A034141: 1 1 1 2 2 3 4 5 6 8 10 12 14 16 19 22
(((1 - ((((x + 1) div 2) div 2) * x)) div ((2 + 2) + 1)) mod 2)
A056029: 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0
(1 - (((x + 2) + 2) mod (((2 - x) div ((2 + 2) + 1)) - 2)))
A212620: 1 2 1 3 2 1 3 2 1 4 3 2 1 4 3 2
(((((x * x) + 2) div (2 + 1)) - (x div ((2 + 2) + 1))) div 2)
A211533: 0 0 1 1 3 4 5 8 10 13 16 19 23 27 32 36
(((((x mod (2 + 1)) + x) div 2) + (x div ((2 + 2) + 1))) div 2)
A229878: 0 0 1 0 1 2
A025128: 0 0 1 0 1 2 2 2 3 2 3 4 4 4 5 5
(((x + 1) * 2) - (((x mod 2) - (x div ((2 + 2) + 1))) div 2))
A187412: 2 4 6 8 10 12 15 16 19 20 23 25 27 29 31 33
(((((x + 2) + 2) + 1) * 2) + ((x div ((2 + 2) + 1)) mod 2))
A318700-A309539-A273492-A227870-A180157: 10 12 14 16 18 21 23 25 27 29 30 32 34 36 38 41
(((x div ((2 + 2) + 1)) + 2) div ((x mod ((2 + 2) + 1)) + 2))
A025879: 1 0 0 0 0 1 1 0 0 0 2 1 1 0 0 2
(((((((2 + 1) * 2) mod (x + 1)) + x) mod (2 + 2)) + 1) div 2)
A105243: 0 1 1 1 1 1 0 1 1 2 0 1 1 2 0 1
((x - (((2 - ((x div (2 + 2)) + x)) div (2 + 2)) - 1)) * 2)
A309374: 2 4 6 10 12
A141104: 2 4 6 10 12 14 18 20 22 26 28 30 34 36 38 40
((((((x * 2) mod ((x div 2) + 2)) + x) div (2 + 2)) + 1) mod 2)
A130093: 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1
(x - (((x mod 2) - (x div (((2 - x) div (2 + 2)) - 1))) div 2))
A239907: 0 0 1 2 3 3 5 5 7 7 8 9 11 11 12 13
((((x div (2 + 1)) - 1) div (((2 - x) mod (2 + 2)) + 1)) mod 2)
A129405: 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1
((x div 2) div (((1 - x) mod (((2 - x) mod (2 + 2)) + 1)) + 2))
A294232: 0 0 0 0 1 1 1 0 1 2 2 1 2 3 3 1
(((x + 2) + 1) mod (((x + 1) mod ((x div (2 + 2)) + 1)) + 2))
A231715: 1 0 1 0 1 0 0 0 1 0 1 0 0 0 2 0
(1 - ((((2 - x) div (2 + 2)) * ((x div (2 + 2)) + 1)) div 2))
A035450: 1 1 1 2 2 2 2 3 4 4 4 6 7 7 7 9
((x mod (2 - (((2 - x) + 1) div ((x mod (2 + 2)) + 1)))) div 2)
A297173-A286470-A243055-A242411: 0 0 0 0 0 1 0 0 0 2 0 1 0 3 1 0
(((x * x) div (((x * 2) - ((x * x) div (2 + 2))) - 1)) mod 2)
A244992: 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1
(((((((x mod ((0 - 2) - 1)) + 1) * x) div 2) div 2) + 1) mod 2)
A319843: 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0
((((((x * x) * x) * (x - 1)) div ((x + 2) + 2)) + 1) mod 2)
A328102: 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1
(((((((2 + 2) * 2) + x) + 2) * ((x + 2) + 2)) - 1) * 2)
A224666: 78 108 142 180 222 268 318 372 430 492 558 628 702 780 862 948
(((x * x) mod ((((x - 1) * x) mod ((x + 2) + 2)) + 1)) mod 2)
A242018: 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1
((((x - (((x mod 2) * 2) - 1)) mod ((x div 2) + 2)) + 1) div 2)
A029263: 1 0 0 1 1 0 1 1 2 1 2 2 3 2 3 3
(((((((x + 1) * x) + 1) * x) div ((x div 2) + 2)) + 1) mod 2)
A156062: 1 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0
((x - ((x - 1) div (2 - (x div (((x div 2) mod 2) + 1))))) mod 2)
A328308: 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0
((x - ((1 - x) div (2 - (x div (((x div 2) mod 2) + 1))))) mod 2)
A092248-A069513: 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1
(((((x div 2) + x) * x) div (((2 - (x mod 2)) * 2) + 1)) mod 2)
A028999: 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 0
(((2 - (x div (2 + 1))) mod ((x div ((x mod 2) + 2)) + 1)) div 2)
A263280: 0 0 0 0 0 0 0 0 0 1 2 1 2 1 3 1
((x - ((x + 1) mod (2 - (x div (((x mod 2) - 2) - 1))))) mod 2)
A323512: 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1
((x + 2) div (((x div ((x div (2 + 1)) + 1)) * (2 + 1)) + 2))
A025845: 1 0 0 1 0 0 1 1 1 1 1 1 1 1 2 2
(((((x + 1) * x) div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2)
A194226: 0 0 0 1 3 6 9 12 15 18 22 27 33 39 45 51
(2 - (((((2 - x) mod ((2 + 1) * 2)) - 1) * (2 + 1)) div 2))
A156283: 1 2 4 ~4 ~2 ~1 1 2 4 ~4 ~2 ~1 1 2 4 ~4
((((x div (1 - ((x div (2 + 1)) * 2))) + 1) mod (2 + 1)) mod 2)
A269625: 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0
((((x div 2) div ((((x mod 2) + 1) * 2) + 1)) * (2 + 1)) div 2)
A035648: 0 0 0 0 0 0 1 0 1 0 1 1 3 1 3 1
(((((x * x) * x) mod (((x + 1) * 2) + 1)) div (2 + 1)) mod 2)
A011664: 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1
(x - ((((x * 2) div (((0 - 2) - 2) - 1)) * (2 + 1)) div 2))
A047515: 0 3 4 6 7 8 11 12 14 15 16 19 20 22 23 24
((((x + 2) div (((x mod (2 + 2)) * 2) - 1)) mod (2 + 1)) mod 2)
A294878: 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0
((x div (1 - ((((x + 1) mod (2 + 2)) + 1) * (2 + 1)))) mod 2)
A323153: 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0
(((x - (((x * x) + 1) mod ((2 + 2) + 1))) div (2 + 1)) mod 2)
A176723: 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0
(x - (((((1 - x) * 2) div ((2 + 2) + 1)) * (2 + 1)) div 2))
A047494: 0 1 4 5 7 8 9 12 13 15 16 17 20 21 23 24
(x - ((((1 - (x * 2)) div ((2 + 2) + 1)) * (2 + 1)) div 2))
A047500: 0 3 4 5 7 8 11 12 13 15 16 19 20 21 23 24
(((x - 1) div ((((2 - x) mod (2 + 2)) + 1) * (2 + 1))) mod 2)
A025904: 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1
(((((x * x) - 2) mod (((x + 2) * 2) + 1)) div (2 + 1)) mod 2)
A029438: 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0
((2 + 2) div ((x - ((((x div 2) - 2) - 1) * (2 + 1))) div 2))
A339219: 1 0 1 1 1 1 1 1 2 1 2 2 4 2 4 4
(((x - (((x div (0 - 2)) - 1) div (2 + 1))) * (2 + 1)) div 2)
A225647: 1 3 4 6 7
A330172: 1 3 4 6 7 10 12 13 15 16 18 21 22 24 25 27
(x - (((x - ((x div (2 + 1)) mod (2 + 1))) div (2 + 1)) * 2))
A138554-A064672-A063772: 0 1 2 3 2 3 4 5 4 3 4 5 6 5 6 7
(1 - (((x div (((x mod 2) - 2) * (2 + 1))) mod (2 + 1)) div 2))
A209402-A184171: 1 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1
(((x + 1) div 2) - ((((x div 2) div (2 + 1)) * (2 + 1)) div 2))
A282630: 0 1 1 2 2 3 2 3 3 4 4 5 3 4 4 5
((2 - ((((2 - x) div 2) * (x div (2 + 1))) div (2 + 1))) div 2)
A337206: 1 1 1 1 1 1 2 2 2 3 3 3 4 5 5 7
(((x div (2 + 1)) + 2) div (((x mod (2 + 1)) * (2 + 1)) + 2))
A025843: 1 0 0 1 0 0 2 0 0 2 1 0 3 1 0 3
((x - (((((x div (2 + 1)) * x) div 2) + 1) mod (2 + 1))) mod 2)
A093521: 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1
(((((1 - (x div (2 + 1))) * (x div 2)) + 1) mod (2 + 1)) mod 2)
A040051: 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0
((((((x div 2) mod 2) + 1) * ((x div 2) + 1)) div (2 + 1)) * 2)
A237120: 0 0 2 2 2 2 4 4 2 2 8 8 4 4 10 10
(((x - 1) mod (((x - 2) mod ((x div 2) + 1)) + (2 + 1))) div 2)
A035435-A029269: 1 0 0 1 1 0 1 1 1 1 2 2 2 2 3 3
((((2 - ((x div (2 + 2)) mod 2)) * (x - 1)) div (2 + 1)) mod 2)
A072770-A071674: 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0
(((x div (((2 + 1) * 2) + 1)) + ((x - 1) mod (2 + 1))) div 2)
A111178: 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 2
((x - (((x * 2) div (2 - (x div (0 - 2)))) mod (2 + 1))) div 2)
A325691: 0 0 0 1 1 1 2 2 3 3 4 4 6 5 7 7
((2 - (x div ((((x mod (2 + 1)) - 1) - 2) * (2 + 1)))) div 2)
A263104: 1 1 1 1 1 2 1 2 2 1 2 3 2 2 3 2
(((((x * x) mod (((x - 2) * 2) - 1)) mod 2) * (2 + 1)) + 2)
A224254: 2 2 2 2 5 2 5 2 5 5 2 2 5 5 2 2
((x - ((1 - x) div (x - (((x - 1) div 2) div (2 + 1))))) + 2)
A138884: 1 3 5 6 7 8 9 10 11 12 13 14 15 17 18 19
(((x - (((2 - (x div (2 + 1))) div 2) * 2)) div (2 + 1)) mod 2)
A065828: 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0
((x - ((x div (((x div (2 + 1)) mod 2) + 2)) mod (2 + 1))) div 2)
A340068: 0 0 0 1 1 2 3 3 3 4 5 5 6 6 6 6
((((x div (2 + 1)) - (((x - 1) div 2) div 2)) * (2 + 1)) div 2)
A025834: 1 0 0 1 1 0 1 1 1 1 1 1 3 1 1 3
((((x + 2) div ((((x mod 2) + 2) * 2) * 2)) * (2 + 1)) div 2)
A035687: 0 0 0 0 0 0 1 0 1 0 1 1 1 1 3 1
(x - ((((x + 2) div (1 - ((2 + 2) * 2))) * (2 + 1)) div 2))
A091249: 2 3 4 5 6 7 9 10 11 12 13 14 15 18 19 20
((2 - ((x * x) div ((1 - ((2 + 2) * 2)) * (2 + 1)))) div 2)
A035452: 1 1 1 1 1 2 2 2 3 3 3 4 4 5 6 6
(((x - (1 - ((1 - x) mod ((2 + 2) * 2)))) div (2 + 1)) + 2)
A164715: 2 2 4 4 4 4 4 4 4 4 7 7 7 7 7 7
((x - (((x - ((x * x) div (2 + 2))) - 2) div (2 + 1))) * 2)
A112421: 2 4 6 8 10 12 16 20 24 28 32 36 42 48 54 60
((x - (((((1 - x) * (x + 2)) div 2) div 2) div (2 + 1))) div 2)
A062461: 0 0 1 2 3 4 5 6 7 8 9 11 12 14 16 17
((((0 - (((x * x) + (x div 2)) div 2)) div 2) div (2 + 1)) mod 2)
A283760: 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0
(x div ((((((x div 2) - (x mod 2)) div 2) + 2) * (2 + 1)) div 2))
A273190: 0 1 0 1 1 1 1 1 1 2 1 1 1 2 2 2
(x div ((2 - ((x * x) mod (2 - ((2 + 2) * (2 + 1))))) + 2))
A228247: 0 0 0 0 0 0 0 1 0 0 2 0 1 2 1 1
(((x + 1) * 2) - (((x * x) div ((2 + 2) * (2 + 1))) mod 2))
A189221: 2 4 6 8 9 12 13 16 17 20 22 24 26 28 30 32
(((((x div ((2 + 2) + 1)) + x) * (2 + 2)) div (2 + 1)) + 2)
A047518: 2 3 4 6 7 10 11 12 14 15 18 19 20 22 23 26
(((((x + 1) * (2 + 1)) + (x div (2 + 2))) * (2 + 1)) div 2)
A184901: 4 9 13 18 24 28 33 37 43 48 52 57 63 67 72 76
(((x div ((((2 + 2) * 2) - (x div 2)) * 2)) * (2 + 1)) div 2)
A116569: 0 0 0 0 0 0 0 0 1 1 1 1 4 4 10 10
(x - ((2 + 1) mod (1 - ((((x div 2) * 2) div (2 + 1)) * 2))))
A103303: 0 1 2 3 4 5 6 7 8 9
A087087-A050742: 0 1 2 3 4 5 6 7 8 9 12 13 16 17 18 19
(((((((2 + 1) * 2) div (x + 1)) + x) * 2) div (2 + 1)) * 2)
A129105: 8 4 4 4 6 8 8 8
(((x * x) div ((x + 1) - (((2 - x) + 2) * (2 + 1)))) mod 2)
A188967: 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0
(x - ((x - (((1 - (x div 2)) mod (x + 2)) mod (2 + 1))) div 2))
A296816: 1 1 1 2 3 3 3 4 5 6 6 6 6 7 8 9
((((1 - ((x div 2) * (x div 2))) mod (x + 2)) div (2 + 1)) mod 2)
A286336: 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1
(x - ((((x - ((x * x) * 2)) * (x + 2)) * (2 + 1)) div 2))
A229620: 0 6 38 116 256 478 798 1236 1808 2534 3430 4516 5808 7326 9086 11108
(x - ((x div (((2 + 2) * 2) - ((x - 2) div (2 + 1)))) * 2))
A165597: 0 1 2 3 4 5 6 5 6 7 8 7 8 9 8 9
(((x div 2) + 2) - ((2 - x) div (((x * 2) div (2 + 1)) + 2)))
A046108: 1 2 3 4 5 5 6 6 7 7 8 8 9 10 11 11
(((((2 + 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1))) div 2)
A292664-A182771-A109260: 2 5 7 10 12 15 18 20 23 25 28 30 33 36 38 41
((x mod ((((x mod 2) + 1) * 2) + ((x div 2) div (2 + 1)))) div 2)
A144629: 0 0 0 1 0 0 0 1 1 2 0 0 0 0 1 1
(x - (((1 - ((2 + 2) * 2)) * ((x div 2) div (2 + 1))) * 2))
A024635: 0 1 2 3 4 5 20 21 22 23 24 25 40 41 42 43
(((x div 2) + 2) - ((2 - x) div (((x div 2) div (2 + 1)) + 2)))
A271490: 1 2 3 4 5 6 7 7 8 9 10 10 11 11 12 13
(x - ((x + 2) div ((((x - 1) div 2) div 2) - ((2 + 1) * 2))))
A082186: 1 2 3 4 5 7 8 9 10 12 13 15 16 18 20 21
((x mod (x - ((x + 1) mod ((2 + 2) * 2)))) mod ((2 + 1) * 2))
A037884-A037848: 0 0 0 0 0 0 0 0 1 2 3 4 5 0 0 0
(((((((x + 2) * 2) * 2) * 2) - x) * x) - ((2 + 1) * 2))
A239796: ~6 17 54 105 170 249 342 449 570 705 854 1017 1194 1385 1590 1809
(1 - ((((x div ((2 + 2) * (2 + 1))) + x) mod (2 + 1)) div 2))
A330935: 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
((((x - (1 - ((x div 2) div (2 + 1)))) * x) div (2 + 1)) * 2)
A157416: 0 0 0 4 8 12 24 32 42 54
((((((2 - x) * (x div 2)) div (2 + 1)) - x) div (2 + 1)) mod 2)
A189476-A140591: 0 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0
((x + 2) mod (((((x * x) div (2 + 1)) + x) mod (2 + 1)) + 2))
A339872: 0 0 0 1 0 1 0 1 2 1 0 1 0 1 1 1
((((((x + 2) + 1) mod ((2 + 2) * 2)) + x) div (2 + 1)) mod 2)
A004547: 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1
(x - ((x - ((((x div (2 + 2)) + 2) * x) div (2 + 1))) div 2))
A084689: 0 1 2 3 4 5 6 7 9
A222030: 0 1 2 3 4 5 6 7 9 11 12 13 16 17 19 20
((x - (((x - (((x * 2) * 2) * 2)) * x) * (2 + 1))) div 2)
A022279: 0 11 43 96 170 265 381 518 676 855 1055 1276 1518 1781 2065 2370
(x - (((x div 2) - (((x div (2 + 2)) * x) div (2 + 1))) div 2))
A084689: 0 1 2 3 4 5 6 7 9
A191852: 0 1 2 3 4 5 6 7 9 10 11 12 15 17 18 19
((x - (2 mod (2 - ((((x + 2) + 2) * x) div (2 + 1))))) div 2)
A156023: 0 0 1 3 5 8 11 14 18 22 26 31 36 41 47 53
((x - ((((2 - x) * x) * ((x + 2) * x)) div (2 + 1))) div 2)
A326278: 0 0 1 9 34 90 195 371 644 1044 1605 2365 3366 4654 6279 8295
((x - (((x * x) + 2) div (((x div 2) + x) + (2 + 1)))) * 2)
A116568: 0 2 2 4 4 6 6 8 8 8 10 10 12 12 12 12
(((((x * 2) - (x div (2 + 1))) - 1) * (x div (2 + 1))) div 2)
A211546: 0 0 0 2 3 4 9 11 13 21 24 27 38 42 46 60
((((x - (x mod (2 + 2))) div (2 + 1)) + (x div (2 + 1))) * 2)
A211514: 0 0 0 2 4 4 6 6 8 10 10 10 16 16 16 18
((((((x div 2) mod 2) - x) mod (2 + 1)) + (x div (2 + 1))) div 2)
A092695: 0 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3
(((x + 1) mod (((x + 1) mod (2 + 2)) + (x div (2 + 1)))) div 2)
A051659: 0 0 0 0 0 0 1 0 0 0 2 0 1 1 0 0
(((((x - 2) * 2) div ((x + 2) + 2)) + (x div (2 + 1))) mod 2)
A176329: 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0
(((((x div 2) + 2) + ((x * 2) * 2)) - (x div (2 + 1))) * 2)
A063246: 4 12 22 28 38 46 54 62 72 78 88 96 104 112 122 128
((((x - (2 + 1)) mod ((x div 2) + 2)) + (x div (2 + 1))) mod 2)
A330268: 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 0
((x - (((1 - x) mod (2 + 1)) - 1)) div ((x div (2 + 1)) + 2))
A015718: 0 1 0 1 1 1 1 2 1 1 2 2 2 2 2 2
((((2 - (x mod 2)) + 1) * (x + 1)) div ((x div (2 + 1)) + 2))
A291303: 1 2 4 2 5 4 5
(x - ((x - ((x * x) div (2 + 2))) div ((x div (2 + 1)) + 2)))
A079057: 0 1 2 3 4 6 7 9 10 12 13 15 16 18 20 21
(((x div 2) mod (((x mod (2 + 2)) + 1) + (x mod (2 + 1)))) div 2)
A323069: 0 0 0 0 0 1 0 1 0 0 0 2 0 0 1 1
(x - ((((x div (2 + 1)) mod (2 + 1)) - (x mod (2 + 1))) * 2))
A181099: 0 3 6 1 4 7 2 5 8 9 12 15 10 13 16 11
(x div ((x div ((((x mod 2) + 1) * 2) + (x mod (2 + 1)))) + 2))
A339929: 0 0 1 1 1 2 1 2 2 2 2 3 1 3 2 3
(((x + 2) div ((((x div 2) mod 2) + 2) + (x mod (2 + 1)))) mod 2)
A267001: 1 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1
((2 + 2) div (((2 - (x div (2 + 2))) + (x mod (2 + 1))) + 2))
A029268: 1 0 0 1 1 0 1 1 1 2 1 1 4 2 1 4
(((1 - (x * 2)) mod (((x div 2) + 2) + (x mod (2 + 1)))) mod 2)
A116937: 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1
(1 - ((((x + 1) div 2) mod (2 + 2)) div ((x mod (2 + 1)) + 2)))
A248392: 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1
((((x div (2 + 1)) mod (2 + 1)) div 2) + ((x mod (2 + 1)) div 2))
A330168-A273513-A093955-A081603: 0 0 1 0 0 1 1 1 2 0 0 1 0 0 1 1
(((x - ((1 - x) div (2 + 1))) * 2) + ((x mod (2 + 1)) div 2))
A047525: 0 2 7 8 10 15 16 18 23 24 26 31 32 34 39 40
(((((x div (2 + 1)) + x) + 2) * 2) - ((x mod (2 + 1)) div 2))
A047506: 4 6 7 12 14 15 20 22 23 28 30 31 36 38 39 44
((2 - ((x mod ((x div 2) + 2)) mod 2)) * ((x mod (2 + 1)) mod 2))
A337985: 0 1 0 0 2 0 0 2 0 0 1 0 0 1 0 0
((x - (((((1 - x) * (2 + 2)) - x) * x) * (2 + 1))) div 2)
A226489: 0 2 19 51 98 160 237 329 436 558 695 847 1014 1196 1393 1605
((((((x * x) div 2) * (2 + 1)) + (x * x)) * (2 + 1)) div 2)
A195046: 0 1 15 31 60 91 135 181 240 301 375 451 540 631 735 841
((x div 2) div ((((x div (2 + 2)) + (x * x)) mod (2 + 1)) + 2))
A240872: 0 0 0 0 0 0 1 0 2 1 2 2 3 2 2 3
(((((x div (2 + 1)) * (x - 2)) + (x * x)) div (2 + 1)) mod 2)
A302480: 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0
(x - ((((x - 1) div (2 + 1)) - ((x * x) div (2 + 1))) div 2))
A236343: 1 1 3 5 6 9 12 14 18 22 25 30 35 39 45 51
(((((x div ((0 - (x mod (2 + 1))) - 1)) * x) div 2) + 1) mod 2)
A166253: 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0
(((x div ((1 mod (((x mod (2 + 1)) + 1) - x)) + 2)) + 1) mod 2)
A114915: 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1
(x - ((((((x div 2) mod ((2 + 2) + 1)) - x) div 2) - 1) div 2))
A261466: 1 2 3 4 5 7 8 9 10 11 13 15 16 17 18 19
(x - ((((x * 2) mod ((((2 + 2) * 2) + x) + 2)) - 1) div 2))
A079596: 1 1 1 1 1 1 1 1 1 1 11 11 12 12 13 13
(x div ((((x * x) mod ((((2 + 2) * 2) + x) * 2)) + 1) * 2))
A276580: 0 0 0 0 0 0 0 0 4 0 0 0 0 3 0 0
(x - ((((((2 - (x div 2)) mod (2 + 2)) + x) div 2) - 1) div 2))
A330881: 0 1 2 3 4 5 5 5 6 7 8 9 10 11 11 11
((x + 1) div ((x div ((2 - (((x div 2) * x) mod 2)) + 1)) + 2))
A112758: 0 1 1 1 1 2 1 1 2 2 2 1 2 2 2 1
((((x * x) div (((x div 2) + 2) + 1)) mod ((x + 2) + 1)) mod 2)
A288306-A164056: 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0
(((((x * x) div (((2 + 1) * x) - 2)) + (x * 2)) + 1) * 2)
A285658: 2 8 12 16 20 24 30 34 38 44 48 52 58 62 66 72
(((((((2 + 2) * 2) + x) * (x + 2)) + (x * 2)) - 1) * 2)
A154599: 30 56 86 120 158 200 246 296 350 408 470 536 606 680 758 840
((((((x + 2) + 2) * (x + 1)) - 1) * ((x * 2) + 1)) div 2)
A162265: 1 13 42 94 175 291 448 652 909 1225 1606 2058 2587 3199 3900 4696
(x - ((((x - (x div (2 + 2))) div 2) - ((x * 2) + 1)) * 2))
A066097-A035336: 2 7 10 15 20 23 28 31 36 41 44 49 54 57 62 65
(((((((x + 2) + 2) + 1) * x) div 2) * ((x * 2) + 1)) - 2)
A162257: ~2 7 33 82 160 273 427 628 882 1195 1573 2022 2548 3157 3855 4648
((((x div 2) + x) div ((2 + 2) + 1)) + (((x * 2) + 1) * 2))
A284678: 2 6 10 14 19 23 27 32 36 40 45 49 53 57 62 66
(((((x div (2 + 2)) + x) + 1) div 2) + (((x * 2) + 1) * 2))
A287726: 2 7 11 16 21 25 30 34 39 44 48 53 58 62 67 71
(((2 - x) div (((x mod 2) + 2) + 2)) + (((x * 2) + 1) * 2))
A247785: 2 6 10 13 17 21 25 29 32 36 40 44 47 51 55 59
(((((x mod ((2 + 2) * 2)) * 2) - x) mod ((x * 2) + 1)) div 2)
A035657: 0 0 1 1 2 2 3 3 4 6 7 9 10 12 13 15
((x - ((((2 - x) - (x * 2)) * x) * ((x * 2) - 1))) div 2)
A071230: 0 1 13 54 142 295 531 868 1324 1917 2665 3586 4698 6019 7567 9360
(((((((x + 1) mod (2 + 2)) - 1) div 2) * (x div 2)) + 1) div 2)
A130507: 0 0 1 0 0 0 2 ~1 0 0 3 ~2 0 0 4 ~3
(((x - ((x div (0 - 2)) * (2 + 1))) * ((x div 2) + 1)) div 2)
A195014: 0 2 5 9 15 21 30 38 50 60 75 87 105 119 140 156
(((x div 2) - (((x * 2) * (0 - 2)) div ((x div 2) + 1))) div 2)
A079243: 0 2 2 3
A060018: 0 2 2 3 4 4 4 5 5 6 6 6 6 7 7 7
(((((x * x) div ((x + 2) + 2)) * 2) mod ((x div 2) + 1)) div 2)
A238213: 0 0 0 0 0 0 1 0 0 1 1 2 2 2 2 3
(((2 - (((1 - x) * x) div (2 + 2))) div ((x div 2) + 1)) mod 2)
A318757-A318753: 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0
(x - ((((x div 2) - ((x + 2) * 2)) * ((x div 2) + 1)) div 2))
A241200: 2 4 9 12 19 23 32 37 48 54 67 74 89 97 114 123
(((((x div 2) mod (2 + 1)) + (x * 2)) * ((x div 2) + 1)) div 2)
A321130: 0 1 5 7 15 18 24
(((x * x) - (((x div 2) - (x * 2)) * ((x div 2) + 1))) div 2)
A210978: 0 1 5 9 17 24 36 46 62 75 95 111 135 154 182 204
(((x div 2) - (((x * x) * (x * 2)) div ((x div 2) + 1))) mod 2)
A308187: 0 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0
((x - ((((x div 2) + 1) div 2) div 2)) + (((x div 2) + 1) * 2))
A188084: 2 3 6 7 10 11 13 14 17 18 21 22 25 26 28 29
((((1 - (x div 2)) mod (2 + 2)) + x) + (((x div 2) + 1) * 2))
A288731: 3 4 6 7 13 14 16 17 19 20 22 23 29 30 32 33
((((((x mod (2 + 1)) + 2) + 1) * x) div ((x div 2) + 1)) mod 2)
A214845: 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1
((((x div 2) * 2) div (2 + 1)) - ((x mod ((x div 2) + 1)) div 2))
A103502: 0 0 0 0 1 0 1 1 1 0 1 1 2 1 1 1
(((x + 1) div (((x div ((2 + 2) + 1)) + (x mod 2)) + 1)) mod 2)
A098370: 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1
(((((x - ((x div (2 + 1)) mod 2)) div 2) + (x mod 2)) + 1) div 2)
A147981: 0 1 1 1 1 2 2 2 2 3 2 3 3 4 4 4
((((((x + 2) * x) div (2 + 2)) + x) div ((x mod 2) + 1)) + 2)
A201500: 2 2 6 5 12 8 20 13 30 18 42 25 56 32 72 41
(((((x * x) * (x + 1)) div 2) * (((2 + 1) * x) + 1)) div 2)
A213827: 0 2 21 90 260 600 1197 2156 3600 5670 8525 12342 17316 23660 31605 41400
((compr(\x.((((x - 1) * x) div ((2 + 2) * 2)) mod 2),x) + 1) * 2)
A194406: 2 4 6 8 12 26 30 32 34 36 38 40 44 58 62 64
((((((x * 2) * 2) * 2) + 1) * (((x + 2) * x) + 1)) div 2)
A262402: 0 18 76 200 412 738 1200 1824 2632 3650 4900 6408 8196 10290 12712 15488
(((((((x * 2) + 1) * x) * (2 + 1)) + 1) * (x + 1)) div 2)
A248575: 0 10 46 128 272 498 822 1264 1840 2570 3470 4560 5856 7378 9142 11168
(((((((x * 2) * 2) + 1) * (x + 1)) + 1) * (x + 1)) div 2)
A213772: 1 11 42 106 215 381 616 932 1341 1855 2486 3246 4147 5201 6420 7816
((x - ((1 - (x mod (((2 + 1) * 2) + 1))) div (x + 1))) mod 2)
A190938: 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1
((((((((x div 2) * x) + 1) div 2) div 2) - 1) mod (x + 1)) mod 2)
A330037: 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 1
(((((x + 1) mod (1 - ((2 + 2) * 2))) + 1) div (x + 1)) mod 2)
A267800: 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1
(((1 - (((x div (2 + 1)) * x) div (2 + 1))) mod (x + 1)) mod 2)
A284789: 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0
((((x * x) div (((x mod 2) * x) + (2 + 1))) mod (x + 1)) mod 2)
A075603: 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0
(x - (x div ((((2 + 2) - (x mod (2 + 1))) mod (x + 1)) + 2)))
A129229: 0 1 2 2 4 4 5 6 6 8 8 9 10 11 11 13
((((x + 2) - (2 div (((x * x) div 2) - 1))) * (x + 1)) + 2)
A162522: 6 12 8 22 32 44
((((((2 + 2) * 2) mod (x + 2)) div (x + 1)) * (x + 1)) + 2)
A072865: 2 4 2 2 2 2 2 10 2 2 2 2 2 2 2 2
((x div 2) div ((((((2 + 1) * 2) + 1) * 2) mod (x + 1)) + 2))
A097027: 0 0 0 0 0 0 1 0 0 0 1 1 2 3 0 0
((((((x + 2) + 2) * ((x * 2) + 1)) + 2) * (x + 1)) div 2)
A144640: 3 17 48 102 185 303 462 668 927 1245 1628 2082 2613 3227 3930 4728
((((((x * x) + (2 + 2)) * (x + 1)) div 2) * (x + 1)) div 2)
A125641: 1 5 18 52 125 261 490 848 1377 2125 3146 4500 6253 8477 11250 14656
((((((x div 2) + 2) + 2) * ((x + 1) div 2)) div (x + 1)) + 2)
A274047: 2 4 3 4 4 5 5 5 5 6 6 6 6 7 7 7
(2 div (((((2 - x) mod ((2 + 1) * 2)) * 2) mod (x + 1)) + 2))
A133080: 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0
(((x * x) - 1) mod (((((2 + 2) * 2) * 2) mod (x + 1)) + 2))
A069531: 1 0 0 0 0 0 3 0 0 0 1 0 3 0 0 0
(((x - (((1 - x) * x) * ((2 + 2) * 2))) * (x + 1)) div 2)
A256646: 0 1 27 102 250 495 861 1372 2052 2925 4015 5346 6942 8827 11025 13560
(((2 - (x - (((x + 2) * x) * (2 + 2)))) * (x + 1)) div 2)
A135712: 1 13 48 118 235 411 658 988 1413 1945 2596 3378 4303 5383 6630 8056
(((((((x + 2) * 2) + 1) * (x + 2)) + 2) * (x + 1)) div 2)
A162267: 6 23 57 114 200 321 483 692 954 1275 1661 2118 2652 3269 3975 4776
(((((((x * 2) * 2) + 1) * (x + 2)) + 2) * (x + 1)) div 2)
A125200: 2 17 57 134 260 447 707 1052 1494 2045 2717 3522 4472 5579 6855 8312
((((((2 + 1) * x) + 2) * ((x + 2) + 2)) * (x + 1)) div 2)
A180569: 4 25 72 154 280 459 700 1012 1404 1885 2464 3150 3952 4879 5940 7144
((((((x + 2) * x) + 2) * ((x mod 2) + 2)) * (x + 1)) div 2)
A093917: 2 15 30 102 130 333 350 780 738 1515 1342 2610 2210 4137 3390 6168
(((((x + 1) * x) div ((2 + 2) + 1)) + (2 mod (x + 1))) div 2)
A237118: 0 0 1 2 3 4 5 6 8 10 12 14 16 19 22 25
(((((x - ((x div 2) mod 2)) div 2) + x) + (2 mod (x + 1))) * 2)
A176100: 0 2 8 12 16 18 20 24 28 30 32 36 40 42 44 48
(((((((x mod (2 + 2)) + 2) + 1) * x) + 2) * (x + 1)) div 2)
A122061: 1 6 18 40 35 66 112 176 117 190 286 408 247 378 540 736
((((((((x + 2) + 2) * 2) + 1) * x) - 2) * (x + 1)) div 2)
A162258: ~1 9 36 86 165 279 434 636 891 1205 1584 2034 2561 3171 3870 4664
(((x - ((((x * x) * x) * (1 - x)) div 2)) * (x + 1)) div 2)
A288962: 0 1 9 60 250 765 1911 4144 8100 14625 24805 39996 61854 92365 133875 189120
((((((x * x) div ((x div 2) + 2)) + x) div 2) mod (x + 1)) mod 2)
A155899: 0 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0
(((((((x div 2) mod 2) + 2) + 2) * (x + 2)) * (x + 1)) div 2)
A061726: 4 12 30 50 60 84 140 180 180 220 330 390 364 420 600 680
(((((x div 2) - 1) * (x div 2)) + ((x + 2) * (x + 1))) div 2)
A111712: 1 3 6 10 16 22 31 39 51 61 76 88 106 120 141 157
(((((x - 1) div 2) * (x div 2)) + ((x + 2) * (x + 1))) div 2)
A194144-A025701: 1 3 6 10 16 23 31 40 51 63 76 90 106 123 141 160
(((((x div ((0 - 2) - 2)) mod 2) - (x div 2)) mod (x + 1)) div 2)
A071806: 0 0 0 0 2 2 2 2 2 3 3 4 4 4 4 4
((0 - ((x + 1) mod (((2 + 2) * 2) + 1))) mod ((x + 1) * 2))
A256299: 1 2 3 4 5 6 7 8 0 19 20 21 22 23 24 25
(((((2 - x) div 2) - x) div ((2 + 2) + 1)) + ((x + 1) * 2))
A081477: 2 3 5 7 9 10 12 14 15 17 19 20 22 24 26 27
((((2 - x) + 1) mod (((x * x) * 2) - 1)) + ((x + 1) * 2))
A094446: 2 4 7 8 40
(((x - (x div (((2 + 2) * 2) + 1))) div 2) + ((x + 1) * 2))
A022840: 2 4 7 9 12 14 17 19 22 24 26 29 31 34 36 39
((0 - ((x + 1) mod (((2 + 2) + 1) * 2))) mod ((x + 1) * 2))
A169930-A048379: 1 2 3 4 5 6 7 8 9 0 21 22 23 24 25 26
(((x - (x div ((2 + 2) * (2 + 1)))) div 2) + ((x + 1) * 2))
A329994-A064995: 2 4 7 9 12 14 17 19 22 24 27 29 31 34 36 39
(((((x div ((2 + 2) * 2)) + x) + 1) div 2) + ((x + 1) * 2))
A292653-A028250: 2 5 7 10 12 15 17 20 23 25 28 30 33 35 38 40
(((x - (x div ((2 + 2) * (0 - 2)))) div 2) + ((x + 1) * 2))
A059536: 2 5 7 10 12 15 17 20 22 25 28 30 33 35 38 40
(((x - ((x div (2 + 2)) div (0 - 2))) div 2) + ((x + 1) * 2))
A186321: 2 4 7 9 12 15 17 20 22 25 27 30 33 35 38 40
(((2 - x) div (2 - (x div ((0 - 2) - 2)))) + ((x + 1) * 2))
A286809: 3 4 6 7 9 11 13 14 16 18 20 22 24 26 28 29
((((((x div (2 + 2)) + x) + 1) div 2) div 2) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A187339: 2 4 6 9 11 13 16 18 20 23 25 27 30 32 34 36
((((x - (x div ((0 - 2) - 2))) div 2) div 2) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A059545: 2 4 6 9 11 13 16 18 20 23 25 27 29 32 34 36
(((((x div 2) mod (2 + 2)) + x) div (2 + 2)) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A322532: 2 4 6 9 11 13 16 18 20 22 24 27 29 31 34 36
((((x div (2 + 2)) mod 2) - (x mod (2 + 2))) + ((x + 1) * 2))
A069908: 2 3 4 5 11 12 13 14 18 19 20 21 27 28 29 30
(((x - (((x mod (2 + 1)) - x) div 2)) div 2) + ((x + 1) * 2))
A190279: 2 4 7 10 13 15 18 21 23 27 29 32 35 37 40 43
(((((x div 2) div (2 + 1)) + (x mod 2)) div 2) + ((x + 1) * 2))
A187908-A187233: 2 4 6 8 10 12 14 17 18 21 22 25 27 29 31 33
(((((x mod ((x div 2) + 1)) div 2) + x) div 2) + ((x + 1) * 2))
A026356: 2 4 7 9 12 15 17 20 22 25 28 30 33 36 38 41
((((x - (x div (2 + 1))) div (2 + 1)) + x) + ((x + 1) * 2))
A184747: 2 5 8 11 15 18 21 24 28 31 34 37 40 44 47 50
((((2 - x) div (((x mod 2) + 2) + 2)) + x) + ((x + 1) * 2))
A247780: 2 5 8 10 13 16 19 22 24 27 30 33 35 38 41 44
((x - ((x div 2) - (((x * 2) + 1) * 2))) * ((x + 1) div 2))
A132355: 0 7 11 32 40 75 87 136 152 215 235 312 336 427 455 560
(((((x div (2 + 2)) * (2 + 1)) div 2) * 2) - ((x + 1) div 2))
A290885: 0 ~1 ~1 ~2 0 ~1 ~1 ~2 2 1 1 0 2 1 1 0
((x div (((x div 2) - ((2 + 2) * 2)) - 2)) + ((x + 1) div 2))
A235613: 0 0 0 1 1 2 2 3 2 3 3 3 3 3 2 3
((((1 - (x div 2)) mod (2 + 1)) + (x * 2)) + ((x + 1) div 2))
A188095: 1 4 5 8 12 15 16 19 20 23 27 30 31 34 35 38
(((x div (((x mod 2) + 2) + 2)) + (x * 2)) + ((x + 1) div 2))
A022852: 0 3 5 8 11 14 16 19 22 24 27 30 33 35 38 41
(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * (x + 1)) div 2)
A195039: 0 23 69 138 230 345 483 644 828 1035 1265 1518 1794 2093 2415 2760
((((((2 + 2) * (x + 1)) * (2 + 1)) - x) * (x + 1)) div 2)
A026817: 6 23 51 90 140 201 273 356 450 555 671 798 936 1085 1245 1416
((((x - (((1 - x) * 2) * (2 + 1))) * x) * (x + 1)) div 2)
A256718: 0 1 24 90 220 435 756 1204 1800 2565 3520 4686 6084 7735 9660 11880
((((x - (((1 - x) * (2 + 2)) * 2)) * x) * (x + 1)) div 2)
A256649: 0 1 30 114 280 555 966 1540 2304 3285 4510 6006 7800 9919 12390 15240
((((x * x) * x) * (x * x)) * (((x * x) * (x + 1)) div 2))
A168635: 0 1 192 4374 40960 234375 979776 3294172 9437184 23914845 55000000 116923026 232906752 439239619 790601280 1366875000
(((x - ((1 - ((x * 2) * 2)) * (2 + 1))) * (x - 1)) + 2)
A202141: 5 2 25 74 149 250 377 530 709 914 1145 1402 1685 1994 2329 2690
(((((((x + 2) + 2) * x) * (x - 1)) div 2) * (x - 1)) div 2)
A188667: 0 0 3 21 72 180 375 693 1176 1872 2835 4125 5808 7956 10647 13965
((((((x + 2) * x) + (x mod 2)) * (x - 2)) * (x - 1)) div 2)
A279905: 0 0 0 16 72 216 480 960 1680 2800 4320 6480 9240 12936 17472 23296
((((((((x + 2) + 2) + 1) * x) + 1) * x) * (x - 1)) div 2)
A135916: 0 0 15 75 222 510 1005 1785 2940 4572 6795 9735 13530 18330 24297 31605
(((((x * x) * (x * x)) * (x * x)) * ((x * x) + 1)) div 2)
A168527: 0 1 160 3645 34816 203125 863136 2941225 8519680 21789081 50500000 108065221 216483840 410278765 741659296 1287140625
(((((x * x) + 2) * x) div (2 + 1)) - (((x * x) - 1) div 2))
A168582: 1 1 3 7 17 33 59 95 145 209 291 391 513 657 827 1023
(((((x * x) * x) * (x * x)) * (((x * x) * x) + 1)) div 2)
A168371: 0 1 144 3402 33280 196875 843696 2890804 8404992 21552885 50050000 107259966 215115264 408051007 738163440 1281825000
(((x + 2) + 2) - ((2 - x) div (2 - (x div ((0 - 2) - 2)))))
A288134: 3 5 6 8 9 10 11 13 14 15 16 17 18 19 20 22
((((x div 2) div (2 + 1)) + 2) div (2 - (x mod ((0 - 2) - 2))))
A025871: 1 0 0 0 1 0 0 1 1 0 0 1 2 0 1 1
(((x mod ((x div 2) + 1)) + 2) div (2 - (x mod ((0 - 2) - 2))))
A025830: 1 0 0 1 1 0 1 1 2 1 1 2 3 1 2 3
(((x + 1) div ((2 + 2) + 1)) - (x div ((x div (0 - 2)) - 2)))
A029865: 0 1 1 1 2 2 3 3 3 4 4
A072747: 0 1 1 1 2 2 3 3 3 4 4 4 4 4 5 5
(((((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1) * 2) * 2)
A102439: 4 104 204 304 404 504 604 704 804 904 1004 1104 1204 1304 1404 1504
(((x - ((1 - x) mod ((x div ((2 + 2) + 1)) + 1))) div 2) mod 2)
A285031: 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0
(((2 - ((x - 1) mod ((x mod ((2 + 2) + 1)) + 1))) div 2) mod 2)
A267683: 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1
(((x + 1) div ((2 mod ((x mod ((2 + 2) + 1)) + 1)) + 2)) mod 2)
A309754: 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 0
((((x div (((x * x) mod ((x div 2) + 2)) + 1)) - 1) div 2) mod 2)
A176917-A077049: 1 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1
(((x * x) * x) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2))
A070506: 0 1 8 27 20 37 40 35 28 25 32 11 12 41 16 31
(((2 - ((x - 1) mod (((x + 2) div (2 + 1)) + 1))) div 2) mod 2)
A189097: 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0
(((((x - 1) * x) mod (((x + 2) div (2 + 1)) + 1)) + 2) * 2)
A162281: 4 4 4 4 4 8 4 8 4 4 4 4 8 4 8 4
(((x mod (2 - (x div (((x div 2) mod (2 + 1)) + 1)))) mod 2) + 2)
A081412: 2 2 2 2 2 2 2 3 2 3 2 2 2 3 3 2
(((x mod (((x div (2 + 2)) + (x div (2 + 1))) + 1)) mod 2) + 2)
A098014: 2 2 2 3 3 2 2 3 3 3 2 3 2 3 2 2
(((((x - (x div (0 - 2))) div ((x mod 2) + 1)) + 1) div 2) div 2)
A308453: 0 0 1 0 1 1 2 1 3 2 4 2 4 2 5 3
(((((((2 + 2) * (x + 1)) + 1) * (x + 1)) + 1) * 2) * 2)
A325958: 24 76 160 276 424 604 816 1060 1336 1644 1984 2356 2760 3196 3664 4164
(((x mod (((((x mod 2) + 2) * 2) mod (x + 1)) + 1)) mod 2) + 2)
A108128: 2 2 2 2 2 2 3 2 3 2 2 2 2 2 2 3
(1 - (((x mod ((0 - ((2 + 2) mod (x + 1))) - 1)) mod 2) * 2))
A325931: 1 1 1 1 ~1 1 1 ~1 1 ~1 1 1 ~1 1 ~1 1
(((x - 2) div ((x div (2 - (x mod ((0 - 2) - 1)))) + 2)) + 2)
A342739: 1 1 2 2 2 3 2 3 3 3 4 3 3 4 4 3
((((x div ((2 - ((x div 2) div (2 + 1))) + 2)) + 1) div 2) * 2)
A063468: 0 0 0 0 2 2 2 2 2 4 4 4 6 6 8 8
(((((x + 1) mod (2 + 1)) * (((2 + 1) * 2) + 1)) div 2) + 2)
A214395: 5 9 2 5 9 2 5 9 2 5 9 2 5 9 2 5
(x div (x - ((((x - 1) div (((2 + 1) * 2) + 1)) * 2) * 2)))
A279061: 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2
(((x * x) * (x * x)) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A070571: 0 1 16 25 4 9 8 21 8 9 4 25 16 1 0 1
(1 - (((x - ((x * x) div (((2 + 1) * 2) + 1))) div 2) div 2))
A016085: 1 1 1 1 1 1 1 1 2 2 2 3 3 4 5 6
(((((x + 2) + 2) mod (((x div (2 + 1)) * 2) + 1)) mod 2) + 2)
A091787: 2 2 2 3 2 2 2 3 2 2 2 3 3 2 2 2
((x - ((x mod (x - (((x div (2 + 1)) * 2) - 1))) div 2)) mod 2)
A285080: 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0
((((x div (2 - ((x - (x mod (2 + 1))) div 2))) + 1) mod 2) * 2)
A239395: 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0
(2 - ((((x + 1) mod ((((2 - x) + 1) * 2) + 1)) div 2) mod 2))
A026535: 2 1 2 2 2 2 2 1 2 1 1 2 2 1 1 2
((((((x - ((x mod 2) * 2)) * (x + 1)) div 2) + 1) div 2) * 2)
A250108: 0 0 4 2 10 10 22 20 36 36 56 54 78 78 106 104
(((((((x + 2) div (2 + 1)) * (x - 1)) div 2) + 1) div 2) div 2)
A165684: 0 0 0 0 1 1 1 2 2 3 4 5 5 7 8 9
(x - ((x - (x div (((x div ((0 - 2) - 2)) - 1) div 2))) div 2))
A270433: 0 0 0 0 0 1 2 2 2 2 3 3 3 4 5 5
((x mod (((x - 1) div ((x mod ((0 - 2) - 2)) - 1)) - 2)) mod 2)
A306710: 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1
((((((((x div 2) + 2) * (x + 1)) div 2) div 2) - 1) div 2) mod 2)
A303907: 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1
(((x + 2) div (((x div (1 - ((2 + 2) * 2))) - 1) - 2)) mod 2)
A266605: 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 1
((((((x * x) * (x mod 2)) div ((2 + 2) * 2)) + 1) div 2) div 2)
A035647: 0 0 0 0 0 1 0 1 0 2 0 4 0 5 0 7
((((((x + 2) * x) + 1) * (((2 + 2) * 2) + 1)) div 2) div 2)
A173102: 2 9 20 36 56 81 110 144 182 225 272 324 380 441 506 576
((x - (((x div 2) mod ((x mod ((2 + 2) * 2)) + 1)) div 2)) mod 2)
A193496: 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0
(((x - ((((2 - x) * x) div ((2 + 2) * 2)) - 1)) * 2) * 2)
A033691: 4 8 12 20 24 32 40 52 60 72 84 100 112 128 144 164
(((2 - ((1 - x) mod (((x mod (2 + 2)) * 2) + 1))) div 2) mod 2)
A214330: 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1
(((((((x div 2) + x) + ((x * 2) * 2)) + 2) + 1) * 2) * 2)
A166959: 12 32 56 76 100 120 144 164 188 208 232 252 276 296 320 340
(((x mod (((x * 2) mod (((x div 2) + 2) + 2)) + 1)) mod 2) + 2)
A075370: 2 3 2 3 3 2 2 2 2 2 3 3 2 2 2 2
(x div (((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 2) + 2))
A165924: 0 0 0 0 1 1 1 1 1 2 2 2 3 3 2 2
((((((x + 1) * x) div (2 + 2)) div ((2 + 2) + 1)) + 2) + 2)
A140744: 4 4 4 4 5 5 6 6 7 8 9 10 11 13 14 16
(2 - (((x - ((1 - (x div 2)) mod ((2 + 2) + 1))) div 2) mod 2))
A122497-A006345: 1 2 1 1 2 2 1 2 1 1 2 1 2 2 1 1
(((x + 2) - (((2 - x) + 2) mod (((2 + 2) + 1) * 2))) + 2)
A169933: 0 2 4 6 8 0 2 4 6 8 10 12 14 16 18 10
((x - (((2 + 2) + 1) * 2)) mod ((((2 + 2) + 1) * 2) * 2))
A180176: 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5
(x - ((x * 2) div (2 - (x - ((((2 + 2) + 1) * 2) * 2)))))
A265359: 0 1 2 3 4 5 6 7 7 8 9 9 10 11 11 11
((((x * x) * x) * (x * x)) mod ((((2 + 2) + 1) * 2) * 2))
A070604: 0 1 12 3 4 5 16 7 8 9 0 11 12 13 4 15
(x div (((x + 1) * 2) div ((x mod (((2 + 2) + 1) * 2)) + 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A004430: 0 1 2 3 4 5 6 7 8 9 0 1 2 2 2 3
((x div ((0 - (((x - 1) * x) mod ((2 + 2) + 1))) - 2)) mod 2)
A211487: 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0
((x div 2) div (((x div 2) div ((x mod ((2 + 2) + 1)) + 2)) + 2))
A254687: 0 0 0 0 1 0 1 1 2 2 1 1 2 2 2 1
((x + 1) div ((((2 - (x * x)) mod ((2 + 2) + 1)) + 2) + 2))
A129985: 0 0 0 0 1 1 1 1 1 2 1 2 1 2 3 2
(x - (((x - (((x * x) * x) * ((2 + 2) + 1))) * 2) * 2))
A160699: 0 17 154 531 1268 2485 4302 6839 10216 14553 19970 26587 34524 43901 54838 67455
(2 - ((x div (((x div 2) div ((x mod (2 + 2)) + 1)) + 2)) mod 2))
A085301: 2 2 1 1 1 1 2 1 1 2 1 1 1 2 1 1
(((((((x + 2) * (x + 2)) * (x + 2)) * 2) - 1) * 2) * 2)
A224335: 60 212 508 996 1724 2740 4092 5828 7996 10644 13820 17572 21948 26996 32764 39300
(((x - (((x * x) + 2) mod (((x div 2) + 2) + 1))) div 2) mod 2)
A288220-A240315: 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0
(((x + 1) div (((x * x) mod (((x div 2) * 2) - 1)) + 2)) mod 2)
A118247: 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0
(x - (((x - (x mod ((x div ((x mod 2) + 2)) + 1))) div 2) * 2))
A287477: 0 1 0 1 2 1 2 1 4 1 4 3 6 3 6 3
(((x + 2) + 1) div ((x mod ((((x mod 2) * 2) + 1) * 2)) + 2))
A289187: 1 1 2 1 3 1 4 3 5 2 6 2 7 5 8 3
(x - ((((x div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2) * 2))
A245352: 0 1 2 3 4 5 6 5 6 7 8 9 10 11 8 9
(x div ((x div (((x div ((2 + 2) + 1)) mod (2 + 1)) + 2)) + 2))
A258595: 0 0 0 1 1 1 1 1 2 1 2 2 2 2 2 1
((x + 2) mod (((((x div 2) mod (2 + 1)) * (2 + 1)) div 2) + 2))
A140083: 0 1 1 2 1 2 0 1 1 2 2 3 0 1 1 2
((((x div 2) + 1) mod (((x mod (2 + 1)) * (2 + 1)) - 2)) div 2)
A089495: ~1 0 1 0 0 1 0 0 0 ~1 0 1 ~1 0 0 0
(1 - (((((x - 1) mod ((x div 2) + 1)) mod (2 + 1)) mod 2) * 2))
A065357: 1 1 ~1 1 1 ~1 ~1 1 1 1 1 ~1 ~1 1 1 1
((((((x * x) div (2 + 2)) * (x + 1)) * (2 + 1)) div 2) div 2)
A256313: 0 0 2 6 15 27 47 72 108 150 206 270 351 441 551 672
(1 - (x div ((x div (0 - (((x - 1) mod (2 + 1)) + 2))) - 2)))
A330780: 1 2 2 2 2 3 3 3 3 3 3 3 4 3 3 4
((((x mod (((x div (2 + 2)) + 2) + 2)) mod (2 + 1)) mod 2) + 2)
A182006: 2 3 2 2 3 2 3 2 2 2 3 2 2 2 2 3
((((x - ((x - (x div (2 + 2))) mod 2)) div (2 + 1)) + 2) + 2)
A134994: 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 9
(x div ((((x - ((2 - (x div 2)) div 2)) mod (2 + 1)) + 2) + 2))
A230502: 0 0 0 0 0 0 1 1 2 1 2 2 2 3 2 3
((((x div 2) + x) mod ((((x div 2) * 2) div (2 + 1)) + 2)) div 2)
A014082: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2
((x + 1) mod ((((x - ((x div 2) mod 2)) div (2 + 1)) mod 2) + 2))
A239706: 1 0 1 0 2 0 1 0 1 1 2 0 1 0 1 0
(x - (((2 - ((((x + 1) * x) div 2) * (2 + 1))) div 2) div 2))
A024224: 0 2 4 7 11 16 22 28 35 43 51 60 70 81 93 105
(((((((x * x) div (2 + 2)) + x) + 2) * (2 + 1)) div 2) div 2)
A283968-A022782: 1 2 3 5 7 9 12 15 19 23 27 32 37 42 48 54
(((((((x + 2) + 2) + 2) * (x + 2)) - (2 + 1)) * 2) * 2)
A153642: 36 72 116 168 228 296 372 456 548 648 756 872 996 1128 1268 1416
(x - ((((((x * x) * x) div (x + 2)) mod (2 + 1)) div 2) * 2))
A062302: 0 1 0 1 4 3 6 5 8 9 8 11 12 11 14 15
(((((1 - x) mod (2 + 1)) + ((x div 2) div (2 + 1))) div 2) mod 2)
A288936: 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1
(1 - (x div ((x div ((x div (2 + 1)) - ((2 + 1) * 2))) - 2)))
A192688: 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2
((((x div 2) + 1) div (x - ((x + 1) mod ((2 + 1) * 2)))) mod 2)
A118553: 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0
((((x div 2) div (2 + 1)) + 2) div ((x mod ((2 + 1) * 2)) + 2))
A025901: 1 0 0 0 0 0 1 1 0 0 0 0 2 1 1 0
(((((x mod ((x div (2 + 1)) + 1)) + x) div (2 + 1)) mod 2) + 2)
A094321: 2 2 2 3 3 2 2 2 3 3 2 2 2 3 2 2
(x - (((((x div ((2 + 2) + 1)) - x) * (2 + 1)) div 2) div 2))
A047511: 0 2 4 6 7 8 10 12 14 15 16 18 20 22 23 24
((((((x div 2) - 1) div 2) * ((2 - x) mod (2 + 1))) div 2) mod 2)
A194675: 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1
((((x div 2) + x) mod ((((x mod 2) + x) div (2 + 1)) + 2)) div 2)
A078595: 0 0 0 0 0 1 0 1 0 1 0 2 0 0 1 0
((2 - (((x * 2) mod ((0 - 2) - (x div (2 + 1)))) mod 2)) * 2)
A046595: 4 4 4 4 2 4 4 4 4 4 4 2 4 4 4 2
(((((((x div 2) + x) + 1) div 2) * (x div (2 + 1))) mod 2) + 2)
A094915: 2 2 2 2 3 2 2 2 2 3 2 2 2 2 2 3
((x * x) - (((((x - 1) div 2) * (x div (2 + 1))) div 2) div 2))
A052118: 0 1 4 9 16 25 35 48 63 78 97 118 139 163 190 217
((((x * 2) mod (((2 + 2) * 2) + (x div (2 + 1)))) div 2) mod 2)
A296657: 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0
((((((x + 1) * x) div (2 + 2)) + (x div (2 + 1))) div 2) * 2)
A233036: 0 0 0 4 6 8 12 16 20 24 30 36 42 48 56 64
(((x - ((2 - ((x div 2) mod 2)) * (x div (2 + 1)))) div 2) div 2)
A187450: 0 0 0 0 0 0 1 1 1 0 1 2 1 1 2 2
(((x mod (2 + 1)) - ((x - 1) div ((x mod (2 + 1)) + 2))) mod 2)
A189292: 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1
(((x div (((x mod 2) - 2) * 2)) mod ((x mod (2 + 1)) + 2)) div 2)
A286490-A217831: 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0
((x div 2) div ((((x div 2) + 2) mod ((x mod (2 + 1)) + 2)) + 2))
A236256: 0 0 0 0 0 1 1 0 1 2 1 1 3 1 2 2
(((((x - 2) * x) div (x + 2)) + ((x mod (2 + 1)) mod 2)) div 2)
A210469: 0 0 0 0 1 1 1 2 2 2 3 3 4 5 5 5
((1 - ((x + 1) mod (2 - ((x - (x mod (2 + 1))) div 2)))) div 2)
A159046-A029937: 0 0 0 0 0 0 0 0 0 0 1 0 2 1 1 2
(((x mod 2) + x) - ((x - ((x - (x mod (2 + 1))) div 2)) mod 2))
A227370: 0 1 2 4 3 6 5 8 7 9 10 11 12 13 14 16
(x - (((((((x div 2) div (2 + 1)) * x) div 2) - 1) div 2) div 2))
A071520: 1 2 3 4 5 6 6 7 8 9 9 10 10 10 11 12
((((2 - (x mod ((2 + 2) + 1))) mod ((x + 2) + 1)) div 2) mod 2)
A025887: 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1
((x - ((((x + 1) div (2 + 1)) * ((x div 2) + 1)) div 2)) mod 2)
A286484: 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1
(((2 - (((1 - x) * (2 + 1)) mod ((x div 2) + 1))) div 2) mod 2)
A321756: 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0
(((1 - x) mod ((((x * x) + 2) mod ((x div 2) + 1)) + 2)) mod 2)
A267053: 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1
(2 - ((x - (x div ((x mod ((2 - (x mod 2)) + 1)) + 2))) mod 2))
A025143: 2 1 2 2 1 2 1 1 2 2 1 2 2 1 1 2
(1 - ((((2 - (x * x)) div (((2 + 1) * x) - 1)) mod 2) * 2))
A337004: 1 1 ~1 ~1 1 1 1 ~1 ~1 1 1 1 ~1 ~1 ~1 1
(((((((x div 2) - 1) mod (2 + 1)) + 1) * (x + 1)) div 2) mod 2)
A339653: 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0
(((((x mod (((x mod 2) - 2) - 1)) * 2) mod (x + 1)) div 2) * 2)
A276093: 0 0 0 2 0 4 0 6 6 8 6 10 0 12 12 14
(1 - ((((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2) * 2))
A121238: 1 1 1 ~1 1 1 ~1 ~1 1 1 1 ~1 ~1 1 ~1 ~1
((((((x div (2 + 2)) + x) + 1) div 2) + ((x + 1) * 2)) * 2)
A283234: 4 10 14 20 26 30 36 40 46 52 56 62 68 72 78 82
((((x - (x div ((2 + 2) * 2))) div 2) + ((x + 1) * 2)) * 2)
A189676: 4 8 14 18 24 28 34 38 42 48 52 58 62 68 72 78
(x - ((((x - (x div (2 + 2))) div 2) - ((x + 1) * 2)) * 2))
A089910: 4 9 12 17 22 25 30 33 38 43 46 51 56 59 64 67
(((((x * 2) - (x div (0 - 2))) + 1) * ((x + 1) div 2)) div 2)
A057569: 0 2 3 9 11 21 24 38 42 60 65 87 93 119 126 156
((((((x div 2) * (2 + 1)) + x) + 1) * ((x + 1) div 2)) div 2)
A222010: 0 1 3 7
A063437: 0 1 3 7 11 18
A210977: 0 1 3 7 11 18 24 34 42 55 65 81 93 112 126 148
(((((2 - x) div ((x div 2) + 1)) * 2) + ((x + 1) div 2)) div 2)
A335824: 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2
((((((x div 2) * x) * (x - 1)) + 2) * ((x + 1) div 2)) + 2)
A294447: 2 4 6 18 54
(((((2 - x) mod ((x div 2) + 2)) div 2) + ((x + 1) div 2)) div 2)
A087180: 0 0 0 1 1 1 1 2 2 3 4 4 4 4 5 5
(((((x div 2) - (x mod 2)) div 2) + 1) * (((x + 1) div 2) div 2))
A296159: 0 0 0 1 2 1 2 4 6 4 6 9 12 9 12 16
((((((((x + 2) * 2) * 2) * 2) + x) * (x + 1)) div 2) - 2)
A235332: 6 23 49 84 128 181 243 314 394 483 581 688 804 929 1063 1206
(x - (((((x div 2) + 1) div 2) div 2) + (((x - 1) div 2) div 2)))
A135414: 1 1 2 3 4 4 4 5 6 6 7 8 9 9 9 10
(((((((2 - x) + 1) * (x div 2)) + (x * x)) + 1) * 2) * 2)
A006640: 4 8 24 40 60 88
(((x + 1) * 2) div (((x mod 2) - (x div ((0 - 2) - 2))) + 2))
A092333: 1 1 2 2 3 2 3 3 4 3 4 4 5 4 5 4
((((x * 2) - (x div (2 + 2))) + ((x div (0 - 2)) mod 2)) * 2)
A028919: 0 6 10 12 14 20 24 26 28 34 38 40 42 48 52 54
((2 - (x div (((x div (((2 + 1) * 2) + 1)) - 2) - 2))) div 2)
A279220: 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5
(1 - (((x - ((x mod (((2 + 1) * 2) + 1)) div 2)) mod 2) * 2))
A210245: 1 ~1 ~1 1 1 ~1 ~1 ~1 1 1 ~1 ~1 1 1 1 ~1
(((((((x div (2 + 1)) * (x + 1)) div 2) - 1) div 2) div 2) + 2)
A029057: 1 1 1 2 2 2 3 3 4 5 5 6 8 8 9 11
(2 - (x - ((((x mod (((2 + 2) * 2) + 1)) + 2) + 2) * 2)))
A100830: 10 11 12 13 14 15 16 17 18 1 2 3 4 5 6 7
(x div ((x div ((((x + 2) mod ((2 + 2) + 1)) div 2) + 2)) + 2))
A213911: 0 0 1 1 1 1 1 2 1 1 2 2 2 1 1 2
((x div (0 - ((((x * 2) mod ((2 + 2) + 1)) + 2) * 2))) mod 2)
A189727: 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0
((x - ((x - 2) div (((x div ((2 + 2) + 1)) + 2) + 2))) mod 2)
A338353: 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0
(1 - ((x mod ((x mod ((((x mod 2) * 2) + 1) * 2)) + 2)) div 2))
A124385: 1 1 1 0 1 ~1 1 1 1 ~1 1 ~1 1 1 1 1
(x div ((((x + 2) mod (((x + 1) mod (2 + 1)) + 2)) + 2) + 2))
A068307: 0 0 0 0 0 1 1 1 2 1 2 2 2 1 3 2
(1 - (x div ((x div ((((x - 2) div (2 + 1)) mod 2) + 2)) + 2)))
A014042: 1 1 1 0 0 0 0 0 0 0 0 ~1 ~1 ~1 0 0
((x + 1) div ((x div ((((x div 2) mod (2 + 1)) mod 2) + 2)) + 2))
A121561: 0 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2
(x - (((((((1 - x) * x) div 2) * (2 + 1)) div 2) div 2) div 2))
A226331: 0 1 3 5 7 9 12 15 19 23 27 32 37 43 49 55
(1 - (((x mod ((x div (2 + 1)) - ((2 + 1) * 2))) mod 2) * 2))
A127252: 1 ~1 1 1 ~1 1 1 ~1 1 1 1 ~1 1 ~1 1 1
((x - ((x mod ((x div (2 + 2)) + ((2 + 1) * 2))) div 2)) mod 2)
A219189: 0 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0
(((((x div 2) + (x * 2)) - (x mod ((2 + 1) * 2))) * 2) * 2)
A328849: 0 4 12 16 24 28 60 64 72 76 84 88 120 124 132 136
(x div (((x * 2) div ((((1 - x) mod (2 + 1)) + 2) + 2)) + 2))
A305830: 0 0 1 1 1 1 1 1 2 1 1 2 2 1 2 1
(2 - ((((((2 - x) + 1) * (x div (2 + 1))) div 2) div 2) mod 2))
A270648: 2 2 2 2 1 1 2 2 1 1 2 2 1 2 1 1
((2 - ((((1 - (x div 2)) * (x div (2 + 1))) div 2) div 2)) div 2)
A005134: 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 5
((((((x + 2) + 1) * 2) mod ((x div (2 + 1)) + 2)) div 2) + 2)
A341829: 2 2 2 2 3 2 3 2 3 4 2 3 2 3 4 2
(x div ((x div (((x mod 2) - ((x div (2 + 1)) mod 2)) + 2)) + 2))
A191515: 0 0 0 1 0 1 1 1 1 1 0 1 1 2 1 1
((((x * 2) - 1) div ((x div ((x mod (2 + 1)) + 2)) + 2)) mod 2)
A115198: 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1
((x - ((x mod (2 - (x - ((x mod (2 + 1)) div 2)))) div 2)) mod 2)
A336111-A062172: 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 1
(((((2 - (x div (2 + 1))) * ((x * 2) - 1)) div 2) div 2) mod 2)
A167364: 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0
(x - ((1 - x) div ((2 - ((((x div 2) + 1) div 2) mod 2)) + 2)))
A191979: 0 1 3 4 5 7 8 9 10 11 13 15 16 17 18 19
(((x + 1) * 2) - (((x - (((x div 2) - 1) div 2)) div 2) div 2))
A184587: 2 4 6 8 9 11 13 15 17 18 20 22 24 26 28 29
(x div (2 - (x - (((((2 - (x mod 2)) + 1) * 2) * 2) * 2))))
A175958: 0 0 0 0 0 0 0 0 0 1 0 1 0 2 1 5
((((((((x div 2) * x) div (2 + 1)) + x) - 1) div 2) div 2) mod 2)
A029692: 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0
((((((((x * 2) + 1) * x) + 1) * (x + 1)) div 2) div 2) div 2)
A019298: 0 1 4 11 23 42 69 106 154 215 290 381 489 616 763 932
(2 - (((((((x - 1) div 2) div 2) * (x + 1)) div 2) div 2) mod 2))
A331034: 1 2 2 2 2 1 1 2 2 1 1 2 2 2 1 2
((((x * x) mod ((((2 + 2) * 2) mod (x + 1)) + 2)) div 2) div 2)
A253638: 0 0 0 0 0 0 0 0 1 0 0 0 1 2 1 1
((x - ((((x div 2) - ((2 + 2) * (x + 1))) * 2) * 2)) - 2)
A161454: 14 31 44 61 74 91 104 121 134 151 164 181 194 211 224 241
(((((x div 2) * (x div 2)) div 2) * (((x + 1) div 2) div 2)) div 2)
A008218: 0 0 0 0 1 1 2 4 8 8 12 18 27 27 36 48
((2 - ((x div (2 + 2)) mod 2)) - ((((x + 1) div 2) div 2) mod 2))
A131079: 2 2 2 1 0 0 0 1 2 2 2 1 0 0 0 1
((1 - ((x - ((((x - 1) div 2) * (x - 1)) div 2)) div 2)) div 2)
A319400: 0 0 0 0 0 0 0 1 1 2 2 4 4 6 7 9
(x - ((0 - ((x - ((x div 2) mod ((0 - 2) - 2))) div 2)) div 2))
A039129: 0 1 3 5 6 7 8 9 10 11 13 15 16 17 18 19
(1 - (((x - (((x * x) - (x div (0 - 2))) div 2)) div 2) div 2))
A029032: 1 1 1 2 3 4 5 6 8 10 12 14 17 20 23 27
((((((((2 + 2) * 2) * (x + 1)) - 1) * 2) * 2) * 2) * 2)
A297970-A296185: 112 240 368 496 624 752 880 1008 1136 1264 1392 1520 1648 1776 1904 2032
(((((((2 + 1) * x) * ((2 + 2) + 1)) + 2) * 2) * 2) * 2)
A139616: 16 136 256 376 496 616 736 856 976 1096 1216 1336 1456 1576 1696 1816
(((x + 2) div ((((x mod ((x div 2) + 1)) div 2) mod 2) + 2)) mod 2)
A267520: 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1
(x - ((x - (x mod (1 - ((((x + 1) div 2) div 2) * 2)))) div 2))
A134403: 0 1 1 2 2 3 3 3 4 5 4 4 5 6 7 5
((1 - ((x * 2) div (((x div ((0 - 2) - 2)) - 2) - 2))) * 2)
A113724: 2 4 4 6 6 6 6 8 8 8 8 10 10 10 10 10
((x - ((x * 2) div (((x div ((0 - 2) - 2)) - 2) - 2))) + 2)
A183573: 2 4 5 7 8 9 10 12 13 14 15 17 18 19 20 21
(x div ((x mod ((((x mod ((2 + 1) * 2)) + 2) + 2) * 2)) + 2))
A308924: 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 5
(((x - (((x - ((x mod (2 + 1)) div 2)) div 2) div 2)) mod 2) + 2)
A282162: 2 3 2 3 3 2 3 2 3 3 2 3 3 2 3 2
((((0 - x) * 2) mod (((((x + 1) div 2) div 2) + 2) + 2)) div 2)
A216191: 0 1 0 2 1 0 1 2 1 0 2 3 2 1 0 1
((((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2) div 2) div 2)
A011914: 0 0 0 0 0 1 3 6 10 15 22 30 41 53 68 85
((((x + 1) * x) div 2) mod (((((2 + 2) * 2) * 2) * 2) * 2))
A105335: 0 1 3 6 10 15 21 28 36 45 55 2 14 27 41 56
(((x * x) * (x * x)) div (((((2 + 2) * 2) * 2) * 2) * 2))
A060494: 0 0 0 1 4 9 20 37 64 102 156 228 324 446 600 791
((x - (((1 - x) * x) div ((((2 + 2) * 2) * 2) * 2))) mod 2)
A099104-A066829: 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0
(1 div (((x mod (1 - ((x mod ((2 + 2) * 2)) + 2))) + 2) + 2))
A290531: 0 0 0 0 0 0 0 0 0 0 0 0 1 ~1 0 0
(1 - ((((x mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2) * 2))
A343785: 1 ~1 1 1 ~1 ~1 1 ~1 1 1 ~1 1 1 ~1 ~1 1
(1 - ((((x * 2) div (((x div (2 + 2)) + 2) + 2)) mod 2) * 2))
A122188: 1 1 ~1 ~1 ~1 1 1 1 1 ~1 ~1 ~1 ~1 ~1 1 1
(x - ((((x div 2) - (((x div (2 + 2)) mod 2) * 2)) * 2) * 2))
A053985: 0 1 ~2 ~1 4 5 2 3 ~8 ~7 ~10 ~9 ~4 ~3 ~6 ~5
(x - (((x div (((x mod ((x mod 2) + 2)) div 2) + 2)) * 2) - 2))
A112048: 2 3 2 3 2 5 2 3 2 3 2 7 2 3 2 3
((x - (x div (0 - ((((x + 1) mod (2 + 2)) + 2) * 2)))) mod 2)
A317748: 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1
(1 - ((((x + 1) div (((x + 2) mod (2 + 2)) + 2)) mod 2) * 2))
A174351: 1 1 ~1 ~1 ~1 ~1 ~1 1 1 1 ~1 1 ~1 1 ~1 ~1
(((x * 2) - (x div ((((x div 2) mod (2 + 2)) + 2) + 2))) + 2)
A324847-A304711-A289509: 2 4 6 8 10 12 14 15 16 18 20 22 24 26 28 30
(x div (((((x + 1) * (2 + 1)) mod ((2 + 2) * 2)) + 2) + 2))
A236508-A236480: 0 0 0 0 0 0 0 1 1 0 2 1 1 2 1 3
(x - (((((x * 2) + 1) div (1 - ((2 + 2) * 2))) * 2) * 2))
A283775: 4 5 6 7 12 13 14 19 20 21 22 27 28 29 34 35
((x - ((((x * x) + 2) mod (1 - ((2 + 2) * 2))) div 2)) div 2)
A083036: 1 1 1 2 3 3 4 5 5 5 6 6 6 7 8 8
((2 - ((x + 1) mod ((x div (1 - ((2 + 2) * 2))) - 2))) div 2)
A078703: 1 1 1 2 1 1 2 1 2 2 1 1 2 2 1 3
((((x + 1) mod (1 - (x mod (1 - ((2 + 2) * 2))))) mod 2) + 2)
A024677: 2 2 3 2 3 2 3 2 2 2 3 2 3 2 2 2
(1 - ((2 - x) div ((((x + 1) mod ((2 + 2) * 2)) + 2) + 2)))
A124230: 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 5
(x - (((x - 1) div (((x div 2) - ((2 + 2) * 2)) - 2)) - 2))
A193533: 2 3 5 6 7 8 9 10 12 13 14 15 17 18 21 22
(x - (((((2 - x) * (x div 2)) div ((2 + 2) * 2)) div 2) div 2))
A138083: 0 1 2 4 5 6
A201997-A039246: 0 1 2 4 5 6 7 8 9 10 12 13 14 16 17 18
((2 - ((x div (2 + 2)) mod (1 - (((2 + 2) * 2) * 2)))) div 2)
A195141: 1 1 1 1 8 8 8 8 7 7 7 7 7 7 7 7
(x div (((((x + 1) * x) div 2) mod (((2 + 2) * 2) * 2)) + 2))
A120648: 0 0 0 0 0 0 0 0 1 0 1 2 0 1 1 1
(x mod (1 - (x mod ((x div 2) - ((((2 + 2) * 2) * 2) * 2)))))
A103303: 0 1 2 3 4 5 6 7 8 9
A043273: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 4
(x - ((0 - (x div (2 - (x - (((2 + 2) * 2) * 2))))) div 2))
A191844: 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18
(((x div 2) - ((x + 2) div (x - (((2 + 2) * 2) * 2)))) mod 2)
A226912: 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0
(((x - 2) div ((x div (((2 - x) mod (2 + 2)) + 2)) + 2)) mod 2)
A266892: 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0
(((x - ((x * x) mod (0 - ((x div (2 + 2)) + 2)))) div 2) mod 2)
A288861: 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1
(((1 - x) mod (((x + 1) mod ((x div (2 + 2)) + 2)) + 2)) div 2)
A086012: 0 0 1 0 0 0 0 1 1 0 0 0 2 0 0 0
(1 - (((((x + 1) * 2) mod ((x div (2 + 2)) + 2)) mod 2) * 2))
A096809: 1 1 1 1 ~1 1 1 ~1 1 1 1 1 ~1 ~1 1 1
((x + 1) div ((((x + 2) mod ((x div (2 + 2)) + 2)) + 2) + 2))
A187449: 0 0 0 0 1 1 1 2 1 1 2 2 1 3 3 2
(((((2 + 1) * x) - 2) div (((x div (2 + 2)) + 2) + 2)) + 2)
A300154: 1 2 3 3 4 4 5 5 5 6 6 7 6 7 7 8
(x - (((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) - 2))
A184008-A014132: 2 4 5 7 8 9 11 12 13 14 16 17 18 19 20 22
((x - (((((2 - (x div 2)) * (x - 2)) div 2) div 2) div 2)) mod 2)
A011749: 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0
((2 - (((((x * 2) - 1) mod ((x div 2) + 2)) div 2) mod 2)) + 2)
A073259: 4 4 4 3 3 4 4 3 3 4 4 4 3 4 4 3
((((((x * x) div 2) - 1) mod (((x div 2) + 2) + 2)) div 2) mod 2)
A167501: 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0
((x - ((((x div 2) + x) div (((x div 2) + 2) + 2)) * 2)) + 2)
A244904: 2 3 4 5 4 5 6 7 8 9 10 11 12 13 14 13
(((((x div 2) - ((2 - x) div ((x div 2) + 2))) div 2) + 2) * 2)
A156686: 2 4 4 6 6 6 8 8 8 10 10 10 12 12 12 12
((x * 2) - (x mod ((((2 - ((x div 2) mod 2)) + 2) * 2) * 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A023794: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27
((2 - (((x - (((x * x) + (x div 2)) div 2)) div 2) div 2)) div 2)
A003114: 1 1 1 1 2 2 3 3 4 5 6 7 9 10 12 14
(x div (((((((x mod 2) * x) div 2) - 1) mod (2 + 2)) + 2) * 2))
A024680: 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1
(x - ((0 - ((x - (((x div 2) + 1) mod (2 + 2))) div 2)) div 2))
A039147: 0 1 2 3 4 6 8 9 10 11 12 13 14 16 18 19
((x + 1) div (((x * 2) div (((x + 1) mod (2 + 2)) + 2)) + 2))
A205745: 0 1 1 0 1 1 1 0 1 1 1 0 1 1 2 0
(((((x * 2) - 1) mod (x - ((x + 1) mod (2 + 2)))) mod 2) + 2)
A069719: 2 2 2 2 3 2 2 2 3 3 3 2 3 3 3 2
((x mod 2) - ((x - (x div (((x div 2) mod (2 + 2)) + 2))) mod 2))
A111405: 0 0 0 1 ~1 1 ~1 1 0 0 ~1 1 ~1 1 0 1
((2 + 2) div ((((x + 1) * (2 + 1)) mod ((2 + 2) * 2)) + 2))
A191269: 0 0 1 0 0 1 0 2 0 0 1 0 0 1 0 2
((x - (2 mod (((x * 2) + 1) div (1 - ((2 + 2) * 2))))) + 2)
A242455: 2 3 4 5 6 7 8 10 11 12 13 15 16 17 19 20
(((x + 1) div (2 + 1)) - (x div ((1 - ((2 + 2) * 2)) * 2)))
A330557: 0 1 2 2 2 3 3 3 4 4 4 5 5 5 6 7
(x div ((x + 1) div (1 - (x div ((1 - ((2 + 2) * 2)) * 2)))))
A175834: 0 1 2 1 2 1 2 1 2 1 2 1 2 1 2 3
(((x * 2) - (x mod (x - ((x - 1) mod ((2 + 2) * 2))))) + 2)
A257219: 2 4 6 8 10 12 14 16 18 20 21 22 23 24 25 26
((x - (1 mod ((((1 - x) * x) div 2) + ((2 + 2) * 2)))) + 2)
A330706: 1 2 3 4 5 8 14
((2 - ((2 - x) mod ((2 + 1) * 2))) + (((2 + 2) * 2) * 2))
A190582: 16 17 18 13 14 15 16 17 18 13 14 15 16 17 18 13
((((x - 1) * x) - (((x + 2) * x) div ((2 + 2) * 2))) div 2)
A292060: 0 0 0 2 4 8 12 17 23 30 37
(((x + 1) div 2) - ((x - 1) div ((x div ((2 + 2) * 2)) + 2)))
A026263: 1 1 1 1 1 1 1 1 2 3 2 3 3 3 3 4
((((x div 2) * x) - (x div (((2 - x) div (2 + 2)) - 2))) mod 2)
A125720: 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0
(((x * x) * x) mod ((x mod (((2 - x) mod (2 + 2)) + 2)) + 2))
A191255: 0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 1
(1 - ((((x + 2) * 2) mod (0 - ((x div (2 + 2)) + 2))) div 2))
A236479-A116514: 1 1 1 1 1 2 2 1 1 2 1 2 2 1 3 2
((((x div 2) * x) - ((x + 1) mod ((x div (2 + 2)) + 2))) mod 2)
A120526: 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0
(2 - ((((2 - x) * 2) + 1) div (((x div (2 + 2)) + 2) + 2)))
A060646: 1 2 2 3 3 3 4 4 4 5 5 5 5 5 6 6
(2 - (((1 - x) * (2 + 2)) div (((x div (2 + 2)) + 2) + 2)))
A327706: 1 2 3 4 5 6 6 7 7 8 8 9 9 9 10 10
(((x + 1) div ((((x mod 2) * x) - (x div (2 + 2))) - 2)) mod 2)
A025877: 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1
(((x * 2) * (2 + 1)) mod ((x div ((x mod (2 + 2)) + 2)) + 2))
A280639: 0 0 0 0 0 0 0 0 0 4 0 2 0 0 4 0
(((((x + 1) * x) - (((1 - x) * x) div (2 + 2))) div 2) div 2)
A194180: 0 0 1 3 5 8 12 16 21 27 33 40 47 55 64 73
(((x - 1) mod (1 - (x mod ((((1 - x) div 2) - 2) - 2)))) div 2)
A027190: 0 0 0 1 0 0 0 0 0 0 0 1 1 2 2 3
(((((x div (((0 - 2) - 2) - 1)) * (x + 2)) div 2) div 2) mod 2)
A085855: 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1
(x div (((((x * 2) * (x - 1)) mod ((x + 2) + 2)) + 2) + 2))
A321004: 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 2
(((((x * x) - ((x div 2) + 2)) mod ((x + 2) + 2)) div 2) mod 2)
A128616: 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1
(((x * 2) - (((x * x) - 2) div (((x + 2) + 2) + 2))) + 2)
A105206: 3 5 6 8 9 10 12 13 14 15 16 17 19 20 21 22
(((((x + 2) + 1) * x) div 2) + ((((x * 2) * 2) * 2) * 2))
A212428: 0 18 37 57 78 100 123 147 172 198 225 253 282 312 343 375
((((x + 1) * x) div 2) - ((x - (((x * 2) * 2) * 2)) * 2))
A132757: 0 15 31 48 66 85 105 126 148 171 195 220 246 273 301 330
(((((x mod (((x mod 2) + 2) + 1)) * (x div 2)) div 2) div 2) div 2)
A285726: 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 2
(1 - (((x mod (2 - (((x mod 2) - (x div 2)) div 2))) div 2) * 2))
A321753: 1 1 ~1 1 1 ~1 ~1 1 1 1 1 ~1 ~1 ~1 ~1 1
(((((((x mod 2) * x) div 2) + 2) * ((x div 2) + 2)) div 2) div 2)
A140839: 1 1 1 2 2 4
A099735: 1 1 1 2 2 4 2 6 3 9 3 12 4 16 4 20
((x - ((((1 - (x * 2)) * 2) mod ((x div 2) + 2)) div 2)) mod 2)
A111748: 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1
(((x - 2) div (((x div 2) div (2 - ((x div 2) mod 2))) + 2)) + 2)
A299230: 1 1 2 2 2 3 2 3 3 3 3 3 4 4 3 3
((x + 2) div ((x mod (((x + 2) mod ((x mod 2) + 2)) + 2)) + 2))
A291323: 1 1 2 1 3 1 4 3 5 3 6 3 7 5 8 3
(((x + 2) * 2) mod ((2 - (x div (((x mod 2) - 2) * 2))) div 2))
A343401: 0 0 0 0 0 0 0 0 0 1 0 2 0 2 2 4
(((((x + 1) div 2) * x) - (x mod (((x mod 2) - 2) * 2))) div 2)
A302406: 0 1 2 3 4 8 10 14 16 23 26 33 36 46 50 60
(2 div (2 - (((x div (2 + 2)) - ((x + 1) mod (2 + 2))) div 2)))
A035463: 0 0 0 1 1 0 0 1 1 1 0 2 2 1 1 2
(((x * 2) + 1) div (((x - (x div (0 - 2))) div (2 + 2)) + 2))
A003434: 0 1 2 2 3 2 3 3 3 3 4 3 4 3 4 4
(((2 + 1) * x) - (((x + 2) + 2) div (1 - ((2 + 2) * 2))))
A062389: 1 4 7 10 14 17 20 23 26 29 32 36 39 42 45 48
(x - ((x + 2) div ((x mod ((2 + 2) * 2)) - ((2 + 2) * 2))))
A247334: 1 2 3 4 6 8 10 16
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * ((2 + 2) * 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A024664: 0 1 2 3 4 5 6 7 8 9 90 91 92 93 94 95
(((x - (((2 - x) - (x * 2)) * 2)) * x) * ((2 + 2) * 2))
A186862: 0 24 160 408 768 1240 1824 2520 3328 4248 5280 6424 7680 9048 10528 12120
((x - (x mod (((2 + 2) * 2) + 1))) * (x - ((2 + 2) * 2)))
A130692: 0 0 0 0 0 0 0 0 0 9 18 27 36 45 54 63
((((x + 1) * (2 + 1)) * (2 + 1)) + (x div ((2 + 2) * 2)))
A028439: 9 18 27 36 45 54 63 72 82 91 100 109 118 127 136 145
((x div (((x div 2) div (2 + 1)) + 2)) + (x div ((2 + 2) * 2)))
A338623: 0 0 1 1 2 2 2 2 3 4 4 4 4 4 4 4
((2 - ((1 - x) div ((x div 2) + 2))) + (x div ((2 + 2) * 2)))
A343118: 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5
(x - (((x mod ((2 + 2) * 2)) - x) * (x mod ((2 + 2) * 2))))
A140576: 0 1 2 3 4 5 6 7 8 17 26 35 44 53 62 71
((((x + 1) * x) div 2) - (((1 - x) * x) * ((2 + 2) * 2)))
A051871: 0 1 19 54 106 175 261 364 484 621 775 946 1134 1339 1561 1800
((((2 + 1) * x) + 2) div ((2 - (x * x)) mod ((2 + 2) * 2)))
A324036: 1 5 1 11 7 17 3 23 13 29 5 35 19 41 7 47
(x - ((((((x div 2) - 1) mod (2 + 1)) - x) div (2 + 2)) - 2))
A152854: 2 3 5 6 7 8 9 11 12 14 15 16 17 18 20 21
(x - (((((x div ((2 + 2) + 1)) + 2) * x) div (2 + 2)) mod 2))
A113638: 0 1 1 2 4 4 6 6 8 9 10 10 12 12 14 15
((x - ((((x * 2) mod ((x div 2) + 2)) + x) div (2 + 2))) mod 2)
A165221: 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1
((x div ((2 + 2) * 2)) - (x div (((2 - x) div (2 + 2)) - 2)))
A217038-A076411: 0 1 1 1 2 2 2 2 3 4 4 4 4 4 4 4
((((x + 2) div ((x div (2 + 1)) + 1)) + (x div (2 + 2))) div 2)
A085761: 1 1 2 1 2 2 1 2 2 2 2 2 2 3 3 2
(x - (((2 - (((x + 1) div 2) div 2)) * (x div (2 + 2))) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A200001-A174995: 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18
(2 - ((((x - 1) div (2 + 1)) - 2) mod ((x div (2 + 2)) + 2)))
A039967: 1 2 2 2 0 0 0 2 2 2 1 1 1 0 0 0
(((x div 2) div (2 + 1)) - ((x - 2) div ((x div (2 + 2)) + 2)))
A185059: 1 1 0 0 0 ~1 0 0 0 0 ~1 ~1 0 0 0 0
(x - (((2 - x) div ((2 + 2) + 1)) - ((x div (2 + 2)) mod 2)))
A039183: 0 1 2 4 6 7 8 9 10 11 12 13 15 17 18 19
((((x div ((2 + 2) + 1)) + 1) mod 2) + ((x div (2 + 2)) mod 2))
A191340: 1 1 1 1 2 1 1 1 0 0 1 1 2 2 2 1
(2 - ((x mod 2) - ((((x + 2) * 2) - (x mod (2 + 2))) * 2)))
A214864: 10 11 14 15 26 27 30 31 42 43 46 47 58 59 62 63
((((x div ((2 + 2) * 2)) + 1) * 2) div ((x mod (2 + 2)) + 2))
A029369: 1 0 0 0 1 0 0 0 2 1 1 0 2 1 1 0
((2 - ((((((2 - x) div (2 + 1)) - 1) * x) div 2) div 2)) div 2)
A029053: 1 1 1 2 2 2 3 4 4 5 6 6 8 9 10 12
((((((1 - (x * x)) mod ((2 + 2) + 1)) + x) div 2) div 2) + 2)
A279596: 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 6
(x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2))
A095274: 0 1 2 3 5 6 7 8 9 11 13 14 15 17 18 19
(1 - ((((2 - (((x div 2) div (2 + 1)) * x)) div 2) div 2) div 2))
A046774: 1 1 1 1 1 1 2 2 2 2 2 3 4 4 5 5
(x - (((1 - ((((x * x) div (2 + 1)) - x) div 2)) div 2) div 2))
A067570: 0 1 2 3 4 5 7
A025199: 0 1 2 3 4 5 7 8 10 11 13 15 17 18 20 23
(x mod (((1 - ((((x * x) mod (2 + 1)) - x) div 2)) + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A004429: 0 1 2 3 4 5 6 7 8 9 0 1 1 2 2 2
((x - ((((x div ((2 + 2) * 2)) * (1 - x)) div 2) div 2)) + 2)
A178338: 2 3 4 5 6 7 8 9 12 13 15 16 17 18 20 21
(((x * 2) - (((((x div 2) div (0 - 2)) - x) div 2) div 2)) + 2)
A184749: 2 5 7 9 12 14 16 19 21 23 26 28 30 32 35 37
((((x - ((2 - x) div 2)) * (x - ((2 - x) div 2))) div 2) div 2)
A274221: 0 0 1 4 6 12 16 25 30 42 49 64 72 90 100 121
(((((((((x * x) * x) + 1) * x) + 2) * x) div 2) + 2) + 2)
A165164: 4 6 24 133
(2 - ((x div 2) - ((x - ((((x mod 2) - x) - 2) * 2)) * 2)))
A108965-A082927: 10 12 21 23 32 34 43 45 54 56 65 67 76 78 87 89
(((((((x * 2) + 1) * (x + 1)) + 1) * (x + 2)) div 2) div 2)
A055232: 1 5 16 36 69 117 184 272 385 525 696 900 1141 1421 1744 2112
((((1 - (x div ((x mod (2 + 2)) + 1))) mod (x + 2)) div 2) mod 2)
A076490: 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1
((((((x * x) + 2) * 2) * (2 + 1)) div ((x + 2) + 2)) mod 2)
A079559: 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 1
((((((x mod (2 + 2)) + 2) * x) + 1) div ((x + 2) + 2)) mod 2)
A143538: 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0
((x - ((((x * x) * (x * x)) - 2) div ((x + 2) + 2))) mod 2)
A159638: 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1
((((x * x) + (2 + 1)) * (2 + 1)) div (((x + 2) + 2) + 2))
A214051: 1 1 2 4 5 7 9 12 14 16 19 21 24 27 29 32
(((((x - 1) * x) + 2) * (2 + 1)) div (((x + 2) + 2) + 2))
A062417: 1 0 1 2 4 6 8 10 12 14 17 19 22 24 27 30
(((((x + 1) * x) + 1) div (2 + 1)) + (((x + 2) * 2) * 2))
A006619: 8 13 18 24 31 38 46 55
(1 - ((((((x div 2) mod (2 + 1)) - 2) * (x div 2)) div 2) div 2))
A102481: 1 1 2 2 1 1 3 3 2 2 1 1 4 4 3 3
(((((x - 2) mod ((x div (2 + 1)) + 2)) + (x div 2)) div 2) mod 2)
A269242: 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0
((((x * 2) * 2) * 2) - ((x - ((2 - (x div 2)) div 2)) div 2))
A338857: 1 8 15 23 30 38 45 52 60 67 74 82 89 97 104 111
((((((x + 1) * x) * (2 + 1)) - 2) div ((x div 2) + 2)) mod 2)
A267006: 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1
(x - (((x div 2) - (((x * 2) * 2) div ((x div 2) + 2))) div 2))
A048947: 0 2 3 5 5 7 7 8 9 10 10 12 12 13 14 15
(2 - (((((x * x) - 1) * (x + 2)) div ((x div 2) + 2)) mod 2))
A233136: 1 2 2 1 2 2 2 2 1 2 1 2 2 1 2 1
((((x - 1) * x) - (((x * x) div 2) div ((x div 2) + 2))) div 2)
A083704: 0 0 1 2 5 8 13 19 25 33 41 51 61 73 86 99
((((((x div (2 + 2)) * 2) - 1) * x) mod ((x div 2) + 2)) div 2)
A235917: 0 0 0 0 0 0 0 1 0 1 1 2 2 0 3 1
(((((x div ((2 + 2) + 1)) + 2) * x) mod ((x div 2) + 2)) div 2)
A329308: 0 0 0 0 0 1 1 0 0 1 2 1 0 2 1 1
(2 - ((x div ((((x - 1) mod (2 + 1)) + (x mod 2)) + 2)) mod 2))
A054348: 2 2 2 2 2 1 1 2 2 1 1 2 1 2 2 1
(x div ((((2 + 2) * 2) - ((x - 2) div ((x mod 2) + 2))) * 2))
A083868: 0 0 0 0 0 0 0 0 0 0 1 1 2 1 3 1
(((x + 1) * (2 + 1)) - ((2 - x) div (((x mod 2) + 2) + 2)))
A186516: 3 6 9 13 16 19 22 25 29 32 35 38 42 45 48 51
((((((x - (2 + 1)) * x) - 1) * x) div (2 + 1)) * (2 + 2))
A275876: 0 ~4 ~8 ~4 16 60 136 252 416 636 920 1276 1712 2236 2856 3580
(1 - (((x - ((x div 2) mod ((2 + 2) + 1))) div 2) mod (2 + 2)))
A016370: 1 1 1 0 0 0 0 ~1 ~1 ~1 0 0 0 ~1 ~1 ~1
(((((x * x) * x) div (2 + 1)) mod ((2 + 1) * 2)) mod (2 + 2))
A021433: 0 0 2 3 3 1 0 0 2 3 3 1 0 0 2 3
(x - (((2 - x) - (((2 - x) div 2) mod (2 + 2))) div (2 + 2)))
A039136: 0 1 2 4 6 7 8 9 10 11 12 14 16 17 18 19
(((((x - 1) * x) mod ((2 + 2) + 1)) * (x div 2)) mod (2 + 2))
A211996: 0 0 2 1 0 0 0 2 0 0 0 0 0 2 2 0
(((x div ((((x div (2 + 2)) mod 2) + 2) + 1)) + x) + (2 + 2))
A088720: 4 5 6 8 9 10 11 12 14 16 17 18 19 20 21 22
((((2 - x) mod (((x div (2 + 2)) + 2) + 1)) + x) div (2 + 2))
A089361: 0 0 0 1 1 1 1 2 3 3 3 3 3 3 3 5
((((((x div 2) + x) + 1) mod ((2 + 2) + 1)) + x) div (2 + 2))
A229878: 0 0 1 0 1 2
A289120: 0 0 1 0 1 2 1 2 2 3 2 3 4 3 4 4
((((x - (2 mod (x + 1))) div ((2 + 2) + 1)) + x) + (2 + 2))
A308040-A239433-A014091: 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21
((((x - (x div ((0 - 2) - 1))) div (2 + 1)) + x) + (2 + 2))
A146968: 4 5 7
A248188: 4 5 7 8 10 11 12 14 15 17 18 20 21 23 24 25
((((((2 + 2) * 2) + 1) mod ((x div 2) + 1)) + x) div (2 + 2))
A243282-A072292-A069637: 0 0 0 1 1 1 1 2 3 3 3 3 3 3 3 4
((((((x div (2 + 1)) * x) mod (2 + 1)) mod 2) * x) div (2 + 2))
A218234: 0 0 0 0 1 0 0 0 2 0 0 0 0 3 0 0
(((((x - (x mod ((0 - 2) - 1))) div 2) div 2) + x) * (2 + 2))
A171949: 0 4 8 12 20 24 28 36 40 44 52 56 60 64 68 72
((((2 + 2) + 1) mod ((((2 + 2) * 2) * 2) - x)) mod (2 + 2))
A194289-A050317: 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 0
((1 div (((((2 - (x mod 2)) + 2) * 2) * 2) - x)) mod (2 + 2))
A282135: 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 3
(((2 + 2) * (x + 1)) - (((x div (2 + 2)) + x) mod (2 + 2)))
A287555: 4 7 10 13 19 22 25 32 34 37 44 47 49 56 59 62
((((((x * 2) + 1) * 2) * 2) div (2 + 1)) - (x div (2 + 2)))
A231407: 1 4 6
A190001: 1 4 6 9 11 13 16 19 20 23 26 28 30 33 35 38
((((1 - x) mod (2 + 2)) + ((x * 2) * 2)) - (x div (2 + 2)))
A204542: 1 4 11 14 16 19 26 29 31 34 41 44 46 49 56 59
(x - ((((x div (2 + 2)) mod 2) * (2 + 1)) - (x mod (2 + 2))))
A080413: 0 2 4 6 1 3 5 7 8 10 12 14 9 11 13 15
((((x div 2) mod (((2 + 1) * 2) + 1)) div 2) + (x mod (2 + 2)))
A027615: 0 1 2 3 1 2 3 4 2 3 4 5 3 4 2 3
(((x * x) - ((x * x) div (2 + 2))) * ((x * x) div (2 + 2)))
A212505: 0 0 3 14 48 114 243 444 768 1220 1875 2730 3888 5334 7203 9464
((1 mod (((2 + 2) * 2) - (x div 2))) + ((x * x) div (2 + 2)))
A132278: 1 1 2 3 5 7 10 13 17 21 26 31 37 43 49 56
((2 - ((((x * 2) mod ((x div (2 + 1)) + 1)) - x) div 2)) div 2)
A034258: 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5
(((x * 2) - (((x mod ((x div (2 + 1)) + 1)) - x) div 2)) + 2)
A184007: 2 5 7 9 12 14 17 19 21 24 26 28 31 33 35 38
(((((((x + 2) + 2) * ((x + 2) + 2)) + 1) - x) * 2) * 2)
A217776: 68 100 140 188 244 308 380 460 548 644 748 860 980 1108 1244 1388
(((((x - (x div ((0 - 2) - 1))) div (2 + 1)) + x) + 2) * 2)
A166986: 4 6 10 12 16 18 20 24 26 30 32 36 38 42 44 46
((x + 2) mod ((((((x div 2) - 1) mod (2 + 1)) + x) div 2) * 2))
A053615: 0 1 0 1 2 1 0 1 2 3 2 1 0 1 2 3
((((((2 + 2) + 1) * x) + 1) * (((2 + 1) * x) + 2)) div 2)
A292018: 1 15 44 88 147 221 310 414 533 667 816 980 1159 1353 1562 1786
(((x * 2) - ((x * x) div (((x div (2 + 1)) + x) + 2))) + 2)
A254058: 2 4 5 7 8 9 11 12 13 15 16 17 18 20 21 22
((2 - ((((((x div 2) mod 2) - (x mod 2)) - 1) * x) div 2)) div 2)
A088741: 1 1 1 2 2 3 1 3 3 5
(2 - (((((x + 2) mod ((2 + 2) + 1)) * (1 - x)) div 2) mod 2))
A174835: 1 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2
(((((x - 1) * x) div 2) + 2) * ((((x + 1) * x) div 2) + 2))
A294070: 4 6 15 40 96 204 391 690 1140 1786 2679 3876 5440 7440 9951 13054
((x - (1 mod (((2 + 2) + 1) - (((x - 1) * x) div 2)))) + 2)
A066615: 1 2 3 4 6 11 17
((x - (((((1 - x) * x) * ((2 + 2) * 2)) - x) * 2)) * 2)
A263228: 0 6 76 210 408 670 996 1386 1840 2358 2940 3586 4296 5070 5908 6810
(1 - (((((((2 - x) * x) div (2 + 2)) - 2) * x) div 2) div 2))
A230380: 1 2 2 4 5 9 13 21
(((x * 2) - (((((x div 2) + 1) mod (2 + 2)) - x) div 2)) div 2)
A067570: 0 1 2 3 4 5 7
A039151: 0 1 2 3 4 5 7 9 10 11 12 13 14 15 17 19
(1 - (((x mod ((2 + 2) + 1)) - (((x + 2) * x) div 2)) div 2))
A005677: 1 1 2 3 5 10 13 16
(((x mod ((0 - 2) - 1)) + 1) mod ((((x div 2) * x) mod 2) + 2))
A305490: 1 1 0 1 1 0 1 2 0 1 1 0 1 1 0 1
((((((x + 2) * 2) * ((x + 2) + 1)) + 1) * (x + 2)) * 2)
A227703: 52 150 328 610 1020 1582 2320 3258 4420 5830 7512 9490 11788 14430 17440 20842
((((x mod (((x mod 2) + 1) * (0 - 2))) + 1) * (x + 2)) div 2)
A131732: 1 ~3 2 0 3 ~7 4 0 5 ~11 6 0 7 ~15 8 0
(((((((x + 2) + 2) * (x + 2)) div 2) + 1) * (x + 2)) div 2)
A200252: 5 12 26 45 75 112 164 225 305 396 510 637 791 960 1160 1377
((((2 - ((x div (2 + 1)) * 2)) * (2 + 1)) div (x + 2)) mod 2)
A341602: 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0
(2 - (((((x - 2) div ((2 + 2) + 1)) - 2) mod (x + 2)) mod 2))
A112104: 1 2 2 1 2 1 2 2 1 2 1 2 2 2 2 2
(((((x + 2) div ((x mod (2 + 2)) + 2)) + 2) mod (x + 2)) mod 2)
A307243: 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1
(((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2)
A027434: 2 3 4 4 5 5 6 6 6 7 7 7 8 8 8 8
(x - ((x mod 2) - ((((2 - x) * (x - 2)) div (x + 2)) mod 2)))
A222240: 0 1 2 3 5 4 6 7 8 9 10 11 12 13 15 14
((2 + 2) div ((((2 + 2) * 2) * (2 + 1)) div ((x + 2) + 2)))
A297824: 0 1 1 1 1 2 2 2 2 4 4 4 4 4 4 4
(((x mod (((2 - x) mod (2 + 2)) + 1)) * x) div ((x + 2) + 2))
A097249: 0 0 0 1 0 0 0 1 1 0 0 2 0 0 0 2
((((x - 2) mod ((2 - (x mod 2)) + 1)) + 1) + ((x + 2) * 2))
A043720: 6 8 9 12 15 16 18 20 21 24 27 28 30 32 33 36
((((x - ((2 - x) div (2 + 2))) div 2) + x) + ((x + 2) * 2))
A101741: 4 7 11 15 18 22 25 29 33 36 40 44 47 51 54 58
(((((((x + 2) + 2) * (x + 2)) - 2) * x) * (x + 2)) + 2)
A212837: 2 41 178 497 1106 2137 3746 6113 9442 13961 19922 27601 37298 49337 64066 81857
(((1 - x) div ((((x + 1) div 2) div 2) + 1)) + ((x * 2) * 2))
A247157: 1 4 7 11 14 18 21 26 29 33 37 41
((((x * x) + 1) div (((x * 2) * 2) + 1)) + ((x * 2) * 2))
A311427: 1 4 8 12 17 21 25 29 33 38 42 46 50 55 59 63
((((((x div 2) * x) div 2) + 1) div (x + 1)) + ((x * 2) * 2))
A311424: 1 4 8 12 17 21 25 29 33 37 42 46 50 54 59 63
(((((x div 2) div ((0 - 2) - 1)) - x) div 2) + ((x * 2) * 2))
A258834: 0 3 6 10 13 17 20 24 27 30 34 37 41 44 47 51
(((((x mod ((x div 2) + 1)) div 2) + x) div 2) + ((x * 2) * 2))
A276855: 0 4 9 13 18 23 27 32 36 41 46 50 55 60 64 69
(((x div (((2 + 2) * (0 - 2)) - 1)) + x) + ((x * 2) * 2))
A228176: 0 4 9 14 19 24 29 34 39 44 48 53 58 63 68 73
(((((2 - (x div 2)) div (x + 2)) mod 2) + x) + ((x * 2) * 2))
A313738: 1 5 10 15 20 25 31 36 41 46 51 56 61 66 71 76
((((((x div 2) + x) div ((2 + 2) * 2)) + x) + (x * 2)) * 2)
A246977: 0 6 12 18 24 30 38 44 50 56 62 70 76 82 88 94
(((((((x div 2) + 1) div 2) mod (2 + 2)) - 1) + (x div 2)) div 2)
A073578: ~1 ~1 0 0 1 1 2 2 2 2 3 3 4 4 3 3
(x - (((1 - ((((2 + 2) * 2) * 2) * 2)) * (x div 2)) * 2))
A151984: 0 1 64 65 128 129 192 193 256 257 320 321 384 385 448 449
(((((x mod (2 + 1)) mod 2) + 1) * (x + 2)) mod ((x div 2) + 2))
A291307: 0 0 1 2 0 3 3 3 4 5 3 6 6 6 7 8
(((x mod (((x + 2) div (2 + 1)) + 1)) + x) div ((x div 2) + 2))
A333355: 0 1 0 1 1 1 1 2 1 1 1 1 1 1 1 2
((1 - (((2 - (x div 2)) mod (x + 2)) mod 2)) + ((x div 2) mod 2))
A334540: 1 1 1 1 1 1 1 2 1 0 1 2 1 0 1 2
(((2 mod ((x div (2 + 2)) + 1)) + (x mod 2)) - ((x div 2) mod 2))
A318438: 0 1 ~1 0 0 1 ~1 0 2 3 1 2 2 3 1 2
(((((((x + 1) div 2) div 2) mod (2 + 2)) + 1) + (x mod 2)) div 2)
A109969: 0 1 0 1 1 1 1 2 1 2 1 2 2 2 2 1
(((((x - (x div (2 + 2))) + 1) * (2 + 1)) + (x mod 2)) div 2)
A230300: 1 3 4 6 6 8 9 11 10 12 13 15 15 17 18 20
((((2 - ((2 - x) div (x + 2))) * (2 + 1)) - (x mod 2)) - 2)
A225647: 1 3 4 6 7
A129000: 1 3 4 6 7 6 7 6 7 6 7 6 7 6 7 6
((((((x div (2 + 2)) mod 2) + x) mod (2 + 1)) - (x mod 2)) div 2)
A111113: 0 0 1 ~1 1 ~1 0 0 1 ~1 0 0 0 0 0 0
(((x div (((((2 + 2) * 2) * 2) - x) + 1)) + (x mod 2)) div 2)
A206560: 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 4
(((((((2 + 2) + 1) * x) + 2) * (x + 1)) - (x mod 2)) div 2)
A153126: 1 6 18 33 55 80 112 147 189 234 286 341 403 468 540 615
(((((x * 2) * 2) div ((x div (2 + 1)) + 2)) + (x mod 2)) div 2)
A345380: 0 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4
(2 - ((((2 - x) div ((x div (2 + 2)) + 2)) - (x mod 2)) div 2))
A266119: 2 3 2 3 3 3 3 4 3 4 3 4 3 4 4 4
((2 - (2 div ((x div ((2 + 2) + 1)) + 1))) mod ((x mod 2) + 2))
A277146: 0 0 0 0 0 1 1 1 1 1 0 2 0 2 0 2
(((((x - 1) * x) mod ((x div 2) + 2)) + 1) mod ((x mod 2) + 2))
A275784: 1 1 1 1 1 1 1 0 1 1 1 0 1 2 1 1
(((((x div (2 + 2)) - (x mod 2)) * 2) + 2) div ((x mod 2) + 2))
A025804: 1 0 1 0 2 0 2 0 3 1 3 1 4 2 4 2
((((x div (2 + 1)) + 2) - (x mod (2 + 2))) div ((x mod 2) + 2))
A029352: 1 0 0 0 1 0 1 0 2 1 1 0 3 1 2 1
(((((x + 2) * x) div (2 + 2)) + 1) * (1 - ((x mod 2) * 2)))
A152032: 1 ~1 3 ~4 7 ~9 13 ~16 21 ~25 31 ~36 43 ~49 57 ~64
(((compr(\x.((x + 2) mod ((x div (2 + 2)) + 1)),x) + x) + 2) + 2)
A167179: 4 6 8 10 12 15 20 25 30 35 40 45 50 55 60 65
(((((x * x) div (((x mod (2 + 2)) + 1) - x)) + x) div 2) mod 2)
A144101: 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1
(1 - (((x div (((x + 1) div ((2 + 2) + 1)) + 1)) - x) div 2))
A064952: 1 1 1 1 2 3 3 3 3 4 5 5 5 6 7 7
(((((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1) * x) div 2)
A022283: 0 13 51 114 202 315 453 616 804 1017 1255 1518 1806 2119 2457 2820
(((((((2 + 2) + 1) * x) * ((2 + 2) + 1)) - 1) * x) div 2)
A022282: 0 12 49 111 198 310 447 609 796 1008 1245 1507 1794 2106 2443 2805
(((((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + 1) * x) div 2)
A022285: 0 14 55 123 218 340 489 665 868 1098 1355 1639 1950 2288 2653 3045
(((((((2 + 1) * x) * (2 + 1)) * (2 + 1)) - 1) * x) div 2)
A022284: 0 13 53 120 214 335 483 658 860 1089 1345 1628 1938 2275 2639 3030
(((((((x * 2) + 1) * (x + 1)) * (2 + 1)) - 1) * x) div 2)
A100583: 0 8 44 124 268 492 816 1256 1832 2560 3460 4548 5844 7364 9128 11152
(((((((x * 2) + 1) * (x + 2)) * (2 + 1)) - 1) * x) div 2)
A163833: 0 13 59 156 322 575 933 1414 2036 2817 3775 4928 6294 7891 9737 11850
(((2 div ((2 + 2) - (((x - 2) div (2 + 1)) - 1))) + x) + 2)
A317469: 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19
((((((((2 + 1) * 2) + 1) * x) * (2 + 1)) - 1) * x) div 2)
A022278: 0 10 41 93 166 260 375 511 668 846 1045 1265 1506 1768 2051 2355
(compr(\x.((x + 1) mod (((x * x) mod ((x div 2) + 1)) + 1)),x) + 2)
A174894-A088948-A078174: 2 3 4 5 7 8 9 11 13 15 16 17 19 21 23 25
((((((x + 1) * x) div 2) div (((2 + 1) * 2) + 1)) + x) + 2)
A024926: 2 3 4 5 7 9 11 13 15 17 19 22 25 28 31 34
(1 - (((x div ((((x mod (2 + 2)) + 2) * 2) + 1)) - x) div 2))
A165907: 1 2 2 3 3 4 4 5 5 5 6 6 6 7 8 8
((((((x div 2) + x) * x) div (((2 + 2) * 2) + 1)) - x) div 2)
A292043: 0 ~1 ~1 ~1 ~1 ~1 0 0 1 2 3 4 6 7 9 10
(compr(\x.((x + 1) mod ((x mod ((x div (2 + 2)) + 2)) + 1)),x) + 2)
A326621: 2 3 4 5 7 8 9 10 11 13 16 17 19 20 21 22
(x mod (((x div (((2 - ((x div 2) - 2)) * 2) + 1)) + x) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A134778: 0 1 2 3 4 5 6 7 8 9 0 1 2 3 1 1
(compr(\x.((x - 2) mod (((x mod ((x mod 2) + 2)) * 2) + 1)),x) + 2)
A050505: 2 4 5 6 8 10 11 12 14 16 17 18 19 20 22 23
(((((((x * x) + 2) div (2 + 1)) mod (2 + 2)) + 1) * x) div 2)
A187601: 0 1 3 6 6 5 3 7 12 18 15 11 6 13 21 30
((((((x mod 2) + (x * 2)) + 1) div ((2 + 2) + 1)) + x) + 2)
A284931: 2 3 5 6 7 9 10 12 13 15 16 17 19 20 21 23
(((x - (2 - (((x * 2) - 1) * ((2 + 2) + 1)))) * x) div 2)
A180223: 0 2 15 39 74 120 177 245 324 414 515 627 750 884 1029 1185
(compr(\x.(((x mod (2 + 2)) * (x + 1)) mod ((2 + 2) + 1)),x) * 2)
A092456: 0 8 16 18 24 28 32 38 40 48 56 58 64 68 72 78
(((x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))) * x) div 2)
A211013: 0 10 31 63 106 160 225 301 388 486 595 715 846 988 1141 1305
(x - ((((((x div 2) - 2) * 2) div ((2 + 2) + 1)) - x) * 2))
A187581: 2 5 8 11 12 15 18 21 24 27 28 31 34 37 38 41
((((x - ((x div 2) mod (2 + 2))) div ((2 + 2) + 1)) + x) + 2)
A121603: 2 3 4 5 6 7 8 9 11
A251726-A069899-A066311: 2 3 4 5 6 7 8 9 11 12 13 15 16 17 18 19
(((1 - (x - (((x * 2) * 2) * ((2 + 2) + 1)))) * x) div 2)
A022277: 0 10 39 87 154 240 345 469 612 774 955 1155 1374 1612 1869 2145
((((x * 2) div (2 - ((1 - x) div ((2 + 2) + 1)))) + x) div 2)
A097873: 0 1 1 2 3 4 5 5 6 6 7 8 8 9 9 10
((((x * x) div (((x * 2) - (x div (2 + 2))) + 1)) + x) + 2)
A186541: 2 3 4 6 8 9 11 12 14 15 17 18 20 22 23 25
(x - ((((0 - (x div ((2 + 2) + 1))) mod (2 + 1)) - x) div 2))
A336487: 0 2 3 5 6 7 8 10 11 13 15 16 18 19 21 23
(((x - ((((1 - x) * (2 + 2)) - 1) * (2 + 1))) * x) div 2)
A226488: 0 2 17 45 86 140 207 287 380 486 605 737 882 1040 1211 1395
(compr(\x.((x + 1) mod (((x mod (2 + 2)) + 1) * (2 + 1))),x) div 2)
A134191: 2 4 5 8 10 11 13 14 16 17 20 22 23 26 28 29
(((x - (1 - (((x * 2) * (2 + 1)) * (2 + 1)))) * x) div 2)
A022276: 0 9 37 84 150 235 339 462 604 765 945 1144 1362 1599 1855 2130
(((((((x mod 2) * 2) + x) * (x + 1)) * (2 + 1)) + x) div 2)
A322465: 0 9 10 31 32 65 66 111 112 169 170 239 240 321 322 415
((((x - ((((x - 1) div 2) div 2) mod 2)) div (2 + 1)) + x) + 2)
A225647: 1 3 4 6 7
A206587: 1 3 4 6 7 8 9 11 12 14 15 16 18 19 20 21
(((((x + 1) * x) div (((2 + 2) * 2) * (2 + 1))) + x) + 2)
A184115: 2 3 4 5 6 8 9 11 13 14 16 18 20 22 24 27
((((((x * x) - (x mod (2 + 2))) * 2) div (2 + 1)) + x) * 2)
A161212: 0 2 6 14 28 42 56
(((1 - (x - ((((x * 2) * 2) * 2) * (2 + 1)))) * x) div 2)
A022281: 0 12 47 105 186 290 417 567 740 936 1155 1397 1662 1950 2261 2595
((((x - (x mod (((x div 2) mod 2) - 2))) div (2 + 1)) + x) + 2)
A285974: 2 3 4 6 7 9 10 11 12 14 15 16 18 19 20 22
(((((x - (x mod ((x mod 2) + 2))) * 2) div (2 + 1)) + x) + 2)
A187332: 2 3 5 7 8 9 12 13 15 17 18 19 22 23 25 27
(((((((x - 1) div (2 + 1)) + x) * 2) div (2 + 1)) + x) + 2)
A187687: 1 3 5 7 9 11 12 15 16 18 20 22 24 26 28 29
(((((((x * x) + 2) * 2) div (x + 2)) div (2 + 1)) + x) + 2)
A186326: 2 3 5 6 8 9 11 12 14 16 17 19 20 22 24 25
(((((((2 + 2) + 1) mod (x + 1)) + x) div (2 + 1)) + x) + 2)
A317091-A247180: 2 3 5 6 7 10 11 13 14 15 17 18 19 21 22 23
(1 - (((((1 - x) - (x mod 2)) - (x mod (2 + 1))) * x) div 2))
A231408: 1 2 4 6 9
A192079: 1 2 4 6 9 19
((((((x * 2) * 2) - (x div 2)) * ((x div 2) + 1)) - x) div 2)
A118277: 0 1 6 9 19 24 39 46 66 75 100 111 141 154 189 204
(((1 - ((x + 1) mod (((2 - x) * (x div 2)) - 1))) + x) * 2)
A345986: 2 4 6 8 10 14 26
((((((((2 + 2) * 2) * (2 + 1)) - 1) * x) - 1) * x) div 2)
A022280: 0 11 45 102 182 285 411 560 732 927 1145 1386 1650 1937 2247 2580
(((((((((2 + 2) * 2) * 2) * 2) - 1) * x) + 1) * x) div 2)
A022289: 0 16 63 141 250 390 561 763 996 1260 1555 1881 2238 2626 3045 3495
(((((((((2 + 2) * 2) * 2) * 2) - 1) * x) - 1) * x) div 2)
A022288: 0 15 61 138 246 385 555 756 988 1251 1545 1870 2226 2613 3031 3480
((((((((x div 2) + 1) div 2) * 2) - 1) mod (x + 1)) + x) + 2)
A111688: 2 4 5 6 7 8 11 12 13 14 17 18 19 20 23 24
((((((2 + 2) * 2) * 2) + x) * x) div (((x + 1) * x) + 2))
A023977: 0 4 4 4 3 3 3 2 2 2 2 2 2 2 1 1
(((((x + 2) * x) - (x div 2)) * 2) + (((x + 1) * x) div 2))
A195016: 0 7 17 34 54 81 111 148 188 235 285 342 402 469 539 616
((((x mod (((2 - (x mod (2 + 2))) * 2) + 1)) mod 2) + x) + 2)
A071193: 2 4 4 5 6 7 8 9 11 11 12 13 14 16 16 17
((((x - (x mod ((x mod ((x div 2) + 2)) + 1))) div 2) + x) + 2)
A055562: 2 3 4 6 8 9 11 12 13 15 16 18 19 21 22 24
((x + 1) - (1 mod ((((x + 2) mod ((2 + 1) * 2)) - x) div 2)))
A166527: 1 2 3 4 6 7 8 9 10 11 15 16 17 18 19 20
((((((x * x) div (2 + 1)) + (x div (2 + 1))) div 2) + x) + 2)
A236337: 2 3 4 7 9 11 15 18 21 26 30 34 40 45 50 57
((((x - (((1 - x) * x) * ((x * 2) - 1))) div 2) * x) div 2)
A212681: 0 0 4 24 88 230 504 966 1696 2772 4300 6380 9144 12714 17248 22890
((((((((x * 2) * 2) * 2) + 1) * (x + 1)) + 2) * x) div 2)
A302302: 0 10 53 153 334 620 1035 1603 2348 3294 4465 5885 7578 9568 11879 14535
((((((2 - (x div 2)) mod (x + 2)) * (x + 1)) div 2) + x) mod 2)
A189702: 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1
(1 - ((((x * 2) div (1 - (x div ((0 - 2) - 2)))) - x) div 2))
A074794: 1 1 1 1 1 2 2 3 3 4 4 4 4 5 6 6
(x - ((((((x div (2 + 1)) mod (2 + 1)) * 2) * 2) - x) * 2))
A163327: 0 3 6 1 4 7 2 5 8 27 30 33 28 31 34 29
((((((x div ((2 + 2) * 2)) * (x - 1)) div 2) div 2) + x) + 2)
A121603: 2 3 4 5 6 7 8 9 11
A031185: 2 3 4 5 6 7 8 9 11 13 14 15 16 18 19 20
((((((x * x) - ((x div 2) div (0 - 2))) div 2) div 2) + x) div 2)
A250000: 0 0 1 2 4 5 7 9 12 14 17 21 24 28 32
((((x - (((x div 2) + x) div ((0 - 2) - 2))) div 2) + x) + 2)
A121347: 2 4 5 7 9 10 12 14 15 17 19 20 22 24 26 27
(((((x - ((x mod ((2 + 2) + 1)) div 2)) div 2) div 2) + x) + 2)
A288712: 2 3 4 5 6 8 9 10 11 12 14 15 16 18 19 20
(((((x - (((x div 2) div (0 - 2)) div 2)) div 2) * 2) + x) + 2)
A190674: 2 3 6 9 10 13 14 17 18 21 24 25 28 29 32 33
((((((((x div 2) * (x - 1)) div 2) div 2) div 2) div 2) + x) + 2)
A132018: 2 3 4 5 6 7 8 10 11 13 14 16 18 19 21 23
(((((x + 2) * 2) div (((x div (2 + 2)) + 2) + 2)) + x) + 2)
A182835: 3 4 6 7 8 9 11 12 13 14 16 17 18 19 20 21
((((x - ((1 - x) div ((x div (2 + 2)) + 2))) div 2) + x) + 2)
A003258: 2 3 5 7 8 10 12 13 15 16 18 20 21 23 24 26
(x - (((x + 1) * 2) div (x - ((((2 + 2) * 2) - x) * 2))))
A295266: 1 2 3 5 7 17
(1 - ((((((2 - x) div 2) * (x div (2 + 2))) div 2) - x) div 2))
A175268: 1 2 2 3 4 4 5 6 7 8 8 9 11 12 13 14
(1 - ((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) - x) div 2))
A080677: 1 2 2 3 3 3 4 5 5 5 5 6 6 7 8 9
((((x - ((((x div (2 + 2)) mod 2) - x) div 2)) div 2) + x) + 2)
A284535: 2 4 5 7 9 10 12 14 16 18 19 21 23 24 26 28
((((x - (((2 - x) * (x - 2)) * (x - 2))) div 2) * x) div 2)
A327319: 0 0 1 3 12 40 105 231 448 792 1305 2035 3036 4368 6097 8295
((((((x * 2) div ((2 + 2) + 1)) + (x * 2)) * 2) + x) + 2)
A188039: 2 7 12 19 24 31 36 41 48 53 60 65 70 77 82 89
(((2 + 1) * 2) div (((x * x) div (2 + 1)) + ((2 - x) * 2)))
A331058: 1 3 6 6 6 3 1
((((((x div (2 + 2)) * ((2 + 2) + 1)) + x) * 2) + x) + 2)
A246442: 2 5 8 11 24 27 30 33 46 49 52 55 68 71 74 77
((((((2 - ((x div 2) mod 2)) mod (x + 1)) + x) div 2) + x) + 2)
A175089: 2 3 5 7 9 10 11 13 15 16 17 19 21 22 23 25
(((((x * x) * (x * 2)) div (2 + 1)) + ((x + 2) * x)) div 2)
A236773: 0 1 6 16 33 59 96 145 210 292 393 515 660 829 1026 1252
((((x + 2) div (((2 + 2) * (2 + 1)) - (x div 2))) + x) + 2)
A162722: 2 3 4 5 6 7 8 10 11 12 13 14 16 17 19 20
((((((x div 2) + x) * (2 + 2)) - 1) * ((x div 2) + x)) * 2)
A117794: 0 6 66 120 276 378 630 780 1128 1326 1770 2016 2556 2850 3486 3828
((x - (x mod (((2 + 2) * 2) + 1))) mod (((x mod 2) * x) + 2))
A329725: 0 0 0 0 0 0 0 0 0 9 1 9 1 9 1 9
((((((((x * x) * (x - 1)) + 1) * x) * x) div 2) * x) div 2)
A079241: 0 0 10 127
((((((x * 2) + 1) * x) div ((2 + 2) + 1)) - 1) mod (x + 2))
A092093: 1 2 1 3 0 3 6 2 6 0 5 10 3 9 0 7
((((((x + 2) + 2) * (x + 1)) * (x + 1)) + 1) * (x + 2))
A268945: 10 63 220 565 1206 2275 3928 6345 9730 14311 20340 28093 37870 49995 64816 82705
compr(\x.(x mod (((((x * x) div 2) mod (2 + 1)) * 2) + 1)),(x + 2))
A191916: 3 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23
(1 div ((((((x * 2) div (2 + 1)) * 2) * 2) - 1) mod (x + 2)))
A173860: 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0
((((x - (((x * x) * (x div 2)) div 2)) div 2) - 1) mod (x + 2))
A111607: 1 2 3 3 5 3 7 2 9 10 11 9 13 7 15 4
(((((((x div 2) + x) - 1) * x) div 2) + (2 + 1)) div (x + 2))
A265436: 1 1 1 1 2 2 3 3 4 5 6 6 7 8 8 9
(((((x * 2) div ((2 + 2) + 1)) * x) + (2 + 1)) div (x + 2))
A145703: 1 1 0 1 1 1 1 1 2 2 3 3 3 4 4 5
(((x + 2) - (((1 - x) * 2) div ((x + 2) + 1))) * (x + 2))
A297190: 4 9 20 30 42 56 80 99 120 143 168 195 224 255 288 323
compr(\x.((((x * x) mod (x - ((2 - x) div 2))) - x) - 1),(x + 2))
A332487: 2 3 4 5 6 8 9 10 11 12 15 16 17 18 21 22
(((((((x div 2) * x) + 1) div (2 + 1)) + 1) * 2) div (x + 2))
A029204: 1 0 1 0 1 1 1 1 2 2 3 2 3 3 4 4
((((x + 1) mod (((2 + 2) * (2 + 1)) - 1)) * 2) mod (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A080464: 0 1 2 3 4 5 6 7 8 9 0 2 4 6 8 10
compr(\x.(((((x div 2) * x) + 2) div ((2 + 2) + 1)) mod 2),(x + 2))
A190225: 2 4 5 6 7 8 10 12 13 14 16 18 19 20 21 22
(1 - ((2 - ((x * 2) mod ((x div (2 + 1)) + 2))) div (x + 2)))
A293451-A115722-A115721: 0 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1
(((((((x - 1) div 2) mod (2 + 2)) + 1) div 2) + 2) mod (x + 2))
A079243: 0 2 2 3
A115777: 0 2 2 3 3 3 3 4 4 2 2 3 3 3 3 4
compr(\x.((x mod ((2 + 2) + 1)) - ((x mod (2 + 2)) * 2)),(x + 2))
A028805: 2 3 5 6 7 10 11 14 15 17 18 19 20 21 22 23
((((x * x) * (x * x)) div (2 + 2)) + ((x + 2) * (x + 2)))
A144686: 4 9 20 45 100
((2 - (2 div (((0 - x) mod ((2 + 2) + 1)) + 1))) + (x * 2))
A001745: 0 4 6 8 9 10 14 16 18 19 20 24 26 28 29 30
(((1 - (x mod ((x mod (2 + 1)) + 1))) mod (2 + 1)) + (x * 2))
A190247: 1 2 6 7 9 12 13 14 18 19 21 24 25 26 30 31
((((((x div 2) * 2) div (2 + 1)) - x) div (2 + 1)) + (x * 2))
A037086: 0 1 3 5 7 8 10 12 14 15 17 19 21 23 24 26
(((((x mod ((x div 2) + 1)) div 2) + x) * (2 + 1)) + (x * 2))
A045775: 0 5 10 15 20 28 33 38 43 51 56 61 66 74 79 84
(((((((x mod (2 + 1)) div 2) + 2) * 2) + x) + 1) * (x * 2))
A076515: 0 12 36 48 72 120
(((x - (x div (((0 - 2) - 2) * (2 + 1)))) div 2) + (x * 2))
A029919: 0 3 5 8 10 13 15 18 20 23 25 28 30 33 36 38
(((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) + (x * 2))
A001969: 0 3 5 6 9 10 12 15 17 18 20 23 24 27 29 30
((2 - ((x - 1) mod (((x div (2 + 1)) mod 2) + 2))) + (x * 2))
A327223: 1 4 5 6 10 11 13 16 17 18 22 23 25 28 29 30
((((((x * x) * x) mod ((x * 2) - 1)) div 2) mod 2) + (x * 2))
A268272: 0 2 5 7 8 10 13 14 17 19 20 22 25 27 28 31
((((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2) + (x * 2))
A000069: 1 2 4 7 8 11 13 14 16 19 21 22 25 26 28 31
((((((x div 2) - 1) mod (2 + 1)) - x) div (2 + 2)) + (x * 2))
A190785: 0 2 3 5 7 9 11 12 14 15 17 19 21 23 24 26
((1 - (1 mod (((1 - x) * (x - 1)) + (x * 2)))) + (x * 2))
A231408: 1 2 4 6 9
A096398: 1 2 4 6 9 16 25 36 49 64 81 100 121 144 169 196
(((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)) + (x * 2))
A004134: 0 2 5 7 11 13 16 18 23 25 28 30 34 36 39 41
((x - ((x div (((x mod 2) + 2) + 2)) - (x div 2))) + (x * 2))
A029918: 0 3 7 10 13 16 20 23 26 30 33 36 39 43 46 49
(((((x - 1) div ((x div 2) + 2)) mod 2) + (x mod 2)) + (x * 2))
A026449: 1 3 4 7 8 12 13 16 17 20 21 24 25 28 29 32
(((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x) * (x * 2))
A174337: 0 94 376 846 1504 2350 3384 4606 6016 7614 9400 11374 13536 15886 18424 21150
((((((x - (2 + 2)) * 2) mod (x + 1)) * 2) + 1) + (x div 2))
A301974: 1 1 6 6 3 7
((((x mod (2 + 2)) * (x div (2 + 1))) mod (2 + 1)) + (x div 2))
A081399: 0 0 1 1 2 3 4 3 4 4 5 5 6 7 9 7
((((((x * 2) * 2) + (x mod 2)) + 1) * (2 + 1)) - (x div 2))
A169598: 3 18 26 41 49 64 72 87 95 110 118 133 141 156 164 179
((((((x div 2) - 2) * 2) mod (x + 1)) div (2 + 1)) + (x div 2))
A121260: 0 0 1 1 2 2 3 3 5 5 7 7 8 8 10 10
(((x + 2) * 2) - (x div (((2 + 2) * (2 + 1)) - (x div 2))))
A185604: 4 6 8 10 12 14 16 18 19 21 23 25 26 28 30 31
(((2 div ((((2 + 2) * 2) * 2) - x)) + (x + 1)) + (x div 2))
A119905: 1 2 4 5 7 8 10 11 13 14 16 17 19 20 23 25
(((((x div (2 + 2)) + (x * 2)) * (2 + 1)) div 2) + (x div 2))
A120738: 0 3 7 10 15 18 22 25 31 34 38 41 46 49 53 56
(((1 - (((x mod (2 + 2)) - x) div (2 + 1))) + 2) * (x div 2))
A278832: 0 0 3 3 10 10 15 15 24 24
(((2 - x) div (((((x + 1) div 2) div 2) div 2) + 2)) + (x div 2))
A029228: 1 0 1 0 1 0 1 1 2 1 2 2 2 2 3 3
((((x + 2) * x) + 1) div ((((2 + 2) * 2) * 2) + (x div 2)))
A241730: 0 0 0 0 1 2 2 3 4 5 5 6 7 8 9 11
(x - (((2 + 1) * x) div ((((2 + 2) * 2) * 2) - (x div 2))))
A189730: 0 1 2 3 4 4 5 6 6 7 8 8 9 10 10 10
((((((2 + 1) * 2) + 1) * (x div (2 + 2))) div 2) + (x div 2))
A157276: 0 0 1 1 5 5 6 6 11 11 12 12 16 16 17 17
(((((x div ((2 + 2) * 2)) + (x mod 2)) * 2) * 2) + (x div 2))
A080414: 0 4 1 5 2 6 3 7 8 12 9 13 10 14 11 15
(((((x + 2) mod (((x div 2) mod 2) + 2)) + x) div 2) + (x div 2))
A067570: 0 1 2 3 4 5 7
A336285-A222249: 0 1 2 3 4 5 7 6 8 9 10 11 12 13 14 15
(((x + 2) div (((2 + 2) * (2 + 1)) - (x div 2))) + (x div 2))
A218445: 0 0 1 1 2 2 3 4 5 5 6 6 8 8 10 10
((((((x div (2 + 2)) * (2 + 1)) div 2) * 2) + x) + (x div 2))
A068056: 0 1 3 4 8 9 11 12 18 19 21 22 26 27 29 30
(((((x div (2 + 2)) * (2 + 1)) div 2) + (x * x)) + (x div 2))
A134467: 0 1 5 10 19 28 40 53 71 88 108 129 154 179 207 236
(((x + 1) div ((x div ((x div (2 + 1)) + 1)) + 1)) - (x mod 2))
A025797: 1 0 1 1 1 1 2 1 3 2 3 3 4 3 5 4
(((((x div (2 + 2)) * (x - 1)) mod (2 + 1)) + 1) * (x mod 2))
A322983: 0 1 0 1 0 2 0 1 0 2 0 3 0 1 0 1
((x div (x - ((x mod ((2 + 2) * (0 - 2))) + 1))) + (x mod 2))
A337101: 0 1 0 1 0 1 0 2 1 1 0 1 0 1 0 2
(((x div ((x div ((x mod (2 + 2)) + 1)) + 2)) + 1) * (x mod 2))
A301979: 0 1 0 2 0 2 0 3 0 2 0 3 0 2 0 4
(((x mod (((x div (2 + 2)) mod (2 + 1)) + 2)) + 1) * (x mod 2))
A132747: 0 2 0 2 0 3 0 2 0 2 0 4 0 2 0 2
(((((x div 2) + x) div 2) * (((2 + 1) * 2) + 1)) + (x mod 2))
A151971: 0 1 7 15 21 22 28 36 42 43 49 57 63 64 70 78
(((x - ((x div (0 - 2)) mod 2)) * ((2 + 2) + 1)) + (x mod 2))
A151980: 0 1 5 16 20 21 25 36 40 41 45 56 60 61 65 76
((x - ((((x div 2) - (x * x)) div (x + 2)) - 1)) - (x mod 2))
A188072: 1 2 4 5 8 9 12 13 15 16 19 20 23 24 27 28
((1 - (2 mod (2 - (((x * 2) * 2) * (x + 1))))) - (x mod 2))
A273405: 1 4 21 44 77 116 165 220 285 356 437 524 621 724 837 956
(x - (((x mod ((x div ((0 - 2) - 1)) - 1)) mod 2) - (x mod 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A338466-A209862-A209861-A187769: 0 1 2 3 4 5 6 7 8 9 10 12 11 13 14 15
(((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2) + (x mod 2))
A037888: 0 1 0 1 0 1 0 1 0 2 1 2 1 1 0 1
(((x mod ((((x - 2) div (2 + 1)) * 2) - 1)) mod 2) + (x mod 2))
A096972: 0 1 0 1 0 1 0 1 0 1 1 2 0 2 0 2
((((((x div 2) + 2) mod ((2 + 1) * 2)) + 1) div 2) - (x mod 2))
A104145: 1 0 2 1 2 1 3 2 0 ~1 1 0 1 0 2 1
((((x * 2) div (((x mod (2 + 2)) * 2) + 1)) mod 2) + (x mod 2))
A324852: 0 1 0 1 0 2 0 1 0 1 0 2 0 1 1 1
((x div ((x div ((((x div 2) mod 2) + 2) + 1)) + 2)) + (x mod 2))
A334098: 0 1 1 2 1 2 2 3 2 2 2 3 2 3 2 4
(((((x div (2 + 2)) * (x div (2 + 2))) + 1) div 2) * (x mod 2))
A035686: 0 0 0 0 0 1 0 1 0 2 0 2 0 5 0 5
((((((x div 2) mod 2) + 1) + (x div (2 + 1))) div 2) + (x mod 2))
A277314: 0 1 1 2 1 2 2 3 1 3 2 3 2 3 3 4
((((2 - x) div (((x div 2) mod (2 + 1)) + 2)) mod 2) - (x mod 2))
A214505: 1 ~1 0 0 1 0 0 0 0 0 0 0 1 ~1 0 0
(((x - ((x * 2) div ((x div (2 + 1)) + 2))) mod 2) + (x mod 2))
A101659: 0 1 0 2 0 1 1 1 0 1 0 2 0 2 0 2
((x div ((x div (((x mod (2 + 1)) div 2) + 2)) + 2)) + (x mod 2))
A238949: 0 1 1 2 1 2 1 2 2 2 1 3 1 2 2 2
((((x * 2) div (0 - ((x div (2 + 2)) + 2))) mod 2) + (x mod 2))
A287263: 0 2 0 2 1 1 0 2 0 2 1 1 1 1 0 1
(((((x * x) - 2) div (((x div 2) + 2) + 2)) mod 2) + (x mod 2))
A026611: 1 2 0 2 0 2 0 1 1 2 0 2 0 1 1 1
((1 - ((((x mod (2 + 1)) - x) div (2 + 2)) * 2)) * (x mod 2))
A272727: 0 1 0 3 0 3 0 5 0 7 0 7 0 7 0 9
(((((x div (((x mod 2) + 2) + 2)) + x) + 2) * 2) + (x mod 2))
A137362: 4 7 8 11 14 17 18 21 24 25 28 31 34 35 38 41
((x div ((x div ((x mod (2 + 2)) + 1)) + 2)) div (2 - (x mod 2)))
A124763: 0 0 0 1 0 1 0 2 0 1 1 2 0 1 1 3
((((x - ((((1 - x) * 2) * (2 + 1)) - 1)) * x) * x) div 2)
A262000: 0 1 18 72 184 375 666 1078 1632 2349 3250 4356 5688 7267 9114 11250
((((((((x * x) - 1) * x) div 2) div (2 + 1)) - x) * x) + 2)
A299198: 2 1 0 5 26 77 176 345 610 1001 1552 2301 3290 4565 6176 8177
((x * x) - (((((x * x) div 2) div (2 + 1)) - (x * x)) div 2))
A293503: 0 2 6 13 23 36 51 70 91 115 142 172 204 240 278 319
(((((x mod ((x mod 2) + 2)) + 2) mod (x + 1)) + (x * x)) div 2)
A118002: 0 1 3 5 9 14 19 26 33 41 51 62 73 86 99 113
(((((x div 2) * x) * (x div 2)) div (2 + 1)) + ((x * x) * 2))
A193389: 0 2 8 19 37 56
(((((((x * x) * x) * (x * x)) + 1) * x) * (x * x)) div 2)
A168180: 0 1 132 3294 32800 195375 839916 2882572 8388864 21523725 50000500 107180106 214991712 407866459 737895900 1281447000
((((((((2 + 2) + 1) * x) + (2 + 1)) * x) * x) * x) div 2)
A229146: 0 4 52 243 736 1750 3564 6517 11008 17496 26500 38599 54432 74698 100156 131625
compr(\x.((x mod (((2 - (x mod 2)) + (x mod (2 + 1))) + 1)) - 1),x)
A139372: 0 1 3 4 5 6 7 9 12 13 15 16 17 18 19 20
((((0 - 2) mod ((x mod (((2 + 2) + 1) * 2)) + 1)) + 1) * x)
A230101: 0 1 4 9 16 25 36 49 64 81 10 11 24 39 56 75
compr(\x.((x div (((2 - (x mod ((2 + 2) * 2))) * 2) + 1)) - 1),x)
A261604: 0 1 3 4 5 6 7 8 11 12 13 14 15 19 20 21
compr(\x.((x mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A092968: 0 1 2 3 4 5 6 7 8 9 10 13 15 16 18 19
compr(\x.(1 - (x mod ((x mod (((x mod (2 + 2)) + 2) + 1)) + 1))),x)
A186042: 1 2 3 5 7 8 9 11 13 14 15 17 18 19 20 21
compr(\x.((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) - 1),x)
A084689: 0 1 2 3 4 5 6 7 9
A337133: 0 1 2 3 4 5 6 7 9 11 12 14 16 17 18 19
compr(\x.((((((x div 2) * (x - 1)) div 2) div 2) mod (2 + 1)) - 1),x)
A328592: 0 1 2 3 4 6 7 8 11 12 13 14 15 16 19 22
compr(\x.(((((x - 1) * x) div ((2 + 2) * 2)) mod (2 + 1)) - 1),x)
A191983: 0 1 2 3 4 6 8 9 11 12 13 14 16 17 19 21
compr(\x.(2 - (((x + 1) * x) mod (((2 + 2) * (2 + 1)) - 1))),x)
A188080: 1 2 4 5 6 8 9 12 13 15 16 17 19 20 23 24
compr(\x.(((((x div ((0 - 2) - 2)) * x) div 2) mod (2 + 1)) - 1),x)
A028974: 0 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20
compr(\x.(2 - ((x div (2 + 2)) div (((x * 2) mod (2 + 1)) + 1))),x)
A345498: 9 12 15 17 18 20 21 23 24 25 26 27 28 29 30 31
compr(\x.(((((x - 2) div (2 + 1)) * (x div 2)) mod (2 + 1)) - 1),x)
A155905: 0 1 2 3 4 6 7 10 11 12 13 14 15 17 18 19
((x div (((((2 + 2) * 2) - (x div 2)) * (2 + 1)) - 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A124097: 0 1 2 3 4 5 6 7 8 9 11 12 14 15 21 22
compr(\x.(2 - ((x div (2 + 2)) div (((1 - x) mod (2 + 1)) + 1))),x)
A345508: 10 13 16 18 19 21 22 24 25 26 27 28 29 30 31 32
compr(\x.(((((x + 1) mod (2 + 2)) * 2) - (x div (2 + 1))) - 1),x)
A061094: 3 4 7 8 9 11 12 13 15 16 17 18 19 20 21 22
(((x * x) div ((((x + 2) + 2) + (x div (2 + 1))) + 1)) + x)
A123663: 0 1 2 4 5 7 8 10 12 13 15 17 18 20 22 24
compr(\x.((x + 2) mod (2 - (x div ((0 - (x mod (2 + 1))) - 1)))),x)
A267415: 0 1 3 6 8 9 12 15 18 21 24 27 30 33 36 39
((x mod (((((x - 1) * x) + 2) div ((x + 2) + 1)) + 1)) + x)
A000394: 0 1 2 4 5 7 8 9 10 11 12 13 15 16 17 18
((((((2 + 2) * 2) * (x + 1)) * ((x * 2) + 1)) + 1) * x)
A322675: 0 49 242 675 1444 2645 4374 6727 9800 13689 18490 24299 31212 39325 48734 59535
((((((2 - x) * x) div ((x + 2) + 2)) mod (x + 1)) + 1) + x)
A046668: 1 2 3 7 9 10 11 12 14 15 16 17 18 19 20 21
compr(\x.((x mod ((x mod (((x div (2 + 2)) * 2) - 1)) + 2)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A133184: 0 1 2 3 4 5 6 7 8 9 10 12 15 16 18 20
compr(\x.(2 - ((x div 2) div ((((x * 2) mod (2 + 1)) * 2) + 1))),x)
A344805: 6 9 12 14 15 17 18 20 21 22 23 24 25 26 27 28
((x - (((1 - x) * (2 + 2)) * (((2 + 1) * 2) + 1))) * x)
A249911: 0 1 60 177 352 585 876 1225 1632 2097 2620 3201 3840 4537 5292 6105
((((((x - 1) div 2) div 2) * x) div (((2 + 1) * 2) + 1)) + x)
A326583: 0 1 2 3 4 5 6 8 9 11 12 14 15 18 20 21
compr(\x.((x mod ((2 + 1) * 2)) - (x mod (((2 + 1) * 2) + 1))),x)
A032861-A023788: 0 1 2 3 4 5 6 12 13 18 19 20 24 25 26 27
(((((((x div (2 + 2)) + 2) + 2) mod (x + 1)) div 2) + 1) + x)
A032867: 1 2 3 4 5 8 9 10 12 13 14 15 16 17 18 19
((x div (((((x div 2) mod ((2 + 2) + 1)) + 2) + 2) + 1)) + x)
A039273: 0 1 2 3 4 5 6 7 8 10 12 13 14 15 16 17
compr(\x.(x mod ((((0 - x) mod ((x div (2 + 1)) + 2)) div 2) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A048335-A048322-A048308-A029956: 0 1 2 3 4 5 6 7 8 9 10 12 24 36 48 60
compr(\x.(1 - (x mod ((((((x div 2) mod 2) * 2) * 2) * 2) + 1))),x)
A230375: 2 3 6 7 10 11 14 15 19 22 23 26 30 31 34 35
((x div (((((x div (2 + 1)) mod (2 + 2)) + 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A333762-A295235-A247805-A235028-A136490-A062014-A057890: 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17
((((x * x) * (2 + 1)) div ((((2 + 2) * 2) * 2) + 1)) + x)
A234363-A156024: 0 1 2 4 6 9 12 15 19 23 27 32 37 42 48 54
compr(\x.(1 - (x mod ((x mod (((x mod (2 + 2)) + 2) * 2)) + 1))),x)
A325113: 1 2 3 5 6 7 9 10 11 13 15 17 19 21 22 23
compr(\x.(x mod ((((x * 2) mod (((x div 2) + 2) + 2)) - 2) - 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A278328: 0 1 2 3 4 5 6 7 8 9 10 11 12 15 21 22
(((x * x) mod ((x - (x div (1 - ((2 + 2) * 2)))) - 1)) + x)
A084689: 0 1 2 3 4 5 6 7 9
A154799: 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 19
compr(\x.((x + 1) mod ((((0 - x) - 2) mod ((2 + 2) * 2)) + 1)),x)
A328557: 3 5 6 7 11 13 14 15 17 19 20 21 22 23 27 29
compr(\x.((x mod ((2 + 2) * 2)) - (x mod (((2 + 2) * 2) + 1))),x)
A032863-A023790: 0 1 2 3 4 5 6 7 8 16 17 24 25 26 32 33
compr(\x.(((2 + 2) * 2) - (x div ((x mod ((2 + 2) * 2)) + 1))),x)
A297264-A297141-A296708: 8 16 17 24 25 26 32 33 34 35 40 41 42 43 44 48
((x - 1) div (((((x div 2) - (x mod (2 + 2))) * 2) - 1) + x))
A218173: 1 0 ~1 ~1 0 0 0 1 0 0 0 0 0 0 0 0
compr(\x.(2 - ((x + 1) mod (((x div ((x mod 2) + 2)) + 2) + 1))),x)
A080639: 1 2 5 7 8 9 10 12 14 16 17 18 19 20 21 22
(((((x div 2) * 2) div ((2 + 2) + 1)) * ((2 + 2) + 1)) + x)
A214653: 0 1 2 3 4 5 11 12 13 14 20 21 22 23 24 25
((((((x div 2) div (2 + 1)) + 1) * 2) * ((2 + 2) + 1)) + x)
A102490: 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45
(((x - ((x mod ((2 + 2) + 1)) * 2)) div ((2 + 2) + 1)) + x)
A187327: 0 0 1 2 3 6 6 7 8 9 12 12 13 14 15 18
((((x * 2) - (x mod ((2 + 2) * 2))) div ((2 + 2) + 1)) + x)
A192048: 0 1 2 3 4 6 7 8 11 12 13 14 16 17 18 19
compr(\x.(1 - ((x - ((1 - x) mod (2 + 2))) mod ((2 + 2) + 1))),x)
A039196: 0 1 2 3 4 6 8 9 10 11 12 13 14 15 17 19
(((2 + 2) div ((2 + 2) - ((x + 2) div ((2 + 2) + 1)))) + x)
A096157-A066522: 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19
((((x + 1) * x) mod (x - ((x - 2) div ((2 + 2) + 1)))) + x)
A330029-A286262-A063037: 0 1 2 3 4 5 6 9 10 11 12 13 18 19 20 21
compr(\x.((x div (0 - 2)) mod 2),(((x div 2) div ((2 + 2) + 1)) + x))
A028970: 0 3 4 7 8 11 12 15 16 19 23 24 27 28 31 32
((((1 - x) div 2) mod ((2 + 2) + 1)) + (((2 + 2) + 1) * x))
A227793: 0 5 14 19 23 28 32 37 41 46 50 55 64 69 73 78
(((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1)) + x)
A102670: 0 0 1 2 3 4 5 6 7 8 8 8 9 10 11 12
((1 - (x - ((((x * 2) - 1) * x) * ((2 + 2) + 1)))) * x)
A104099: 0 5 58 219 548 1105 1950 3143 4744 6813 9410 12595 16428 20969 26278 32415
((((((x div (2 + 1)) + 1) div 2) * x) div ((2 + 2) + 1)) + x)
A336231: 0 1 2 3 4 6 7 8 9 12 14 15 16 18 19 24
(((((2 - (x div 2)) mod (2 + 2)) + x) div ((2 + 2) + 1)) + x)
A039197: 0 1 2 3 4 6 7 9 10 11 12 13 14 15 17 18
compr(\x.(1 - (((x mod ((x mod 2) + 2)) * x) mod ((2 + 2) + 1))),x)
A005776: 1 7 11 13 17 19 23 29
A007775: 1 7 11 13 17 19 23 29 31 37 41 43 47 49 53 59
(((((((x * 2) * 2) - 1) * 2) div ((x + 2) + 2)) + 1) * x)
A130237: 0 2 6 12 16 25 30 35 48 54 60 66 72 91 98 105
(((((x * x) + 2) * (2 + 1)) div (((x + 2) * 2) + 1)) + x)
A241071: 1 2 4 6 8 10 12
A248563: 1 2 4 6 8 10 12 15 17 19 22 24 27 29 32 34
compr(\x.(2 - ((x * 2) mod ((((x div 2) - (x mod 2)) + 2) + 1))),x)
A146968: 4 5 7
A225387-A037259: 4 5 7 8 10 12 13 14 15 16 17 19 21 22 23 24
compr(\x.(((1 - x) - (x div (((2 + 1) * 2) + 1))) mod (2 + 1)),x)
A140399: 1 4 9 12 14 17 20 22 25 30 33 35 38 41 43 46
(((((x div 2) - (x * 2)) div ((2 + 2) + 1)) * (2 + 1)) + x)
A196279: 0 ~2 ~1 0 ~2 ~1 0 ~2 ~1 0 1 ~1 0 1 ~1 0
compr(\x.(x - (((((x div 2) + x) div (2 + 2)) - 1) * (2 + 1))),x)
A345499: 24 27 30 32 33 35 36 38 39 40 41 42 43 44 45 46
((((x div ((2 + 2) + 1)) * (x div (2 + 1))) div (2 + 1)) + x)
A335040: 0 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20
((((x - (((x + 1) div 2) mod (2 + 1))) * 2) div (2 + 1)) + x)
A321702: 0 1 2 3 5 8 10 11 12 13 15 18 20 21 22 23
((((((x div (2 + 1)) + x) div (2 + 1)) * 2) div (2 + 1)) + x)
A039108: 0 1 2 3 4 6 7 9 10 11 12 13 15 16 18 19
(((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1)) + x)
A151988-A039255: 0 1 2 3 4 6 8 9 10 11 12 13 14 15 16 18
((((((x mod ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) + x)
A043090: 0 1 2 3 4 6 7 8 9 11 12 13 14 17 18 19
((2 + 1) div ((((((x + 1) div 2) div 2) + 2) * (2 + 1)) - x))
A035690: 0 0 0 0 0 0 1 0 0 1 1 0 1 1 3 1
(((((x - (x div ((2 + 2) * 2))) div 2) * 2) div (2 + 1)) + x)
A039104: 0 1 2 3 5 6 8 9 10 11 12 14 15 17 18 19
((x - (((((1 - x) * (2 + 2)) * 2) * 2) * (2 + 1))) * x)
A261276: 0 1 100 297 592 985 1476 2065 2752 3537 4420 5401 6480 7657 8932 10305
((((x - (((x div 2) + x) div (2 + 2))) div 2) * (2 + 1)) + x)
A131503: 0 1 5 6 7 11 12 13 14 18 19 20 24 25 26 30
compr(\x.((x + 2) - (((x - (x div (2 + 2))) div 2) * (2 + 1))),x)
A345478: 7 10 13 15 16 18 19 21 22 23 24 25 26 27 28 29
((((x - 2) div ((x div 2) + 1)) + ((2 + 2) * (2 + 1))) + x)
A124867: 10 12 14 15 16 18 19 20 21 22 23 24 25 26 27 28
(((((x * 2) + 1) * x) * 2) div (((2 + 2) * (2 + 1)) + x))
A022819: 0 0 1 2 4 6 8 11 13 16 19 22 25 28 31 34
(((((((x + 1) * x) - 1) * x) div (2 + 2)) * (2 + 1)) + x)
A213488: 0 1 8 27 61 113 189 295 434 609 826 1091 1407 1777 2207 2703
(((((((x div 2) * (2 + 1)) + x) + 2) * 2) * (2 + 1)) + x)
A272100: 12 19 44 51 76 83 108 115 140 147 172 179 204 211 236 243
((((((x * x) - (x div 2)) mod (x + 2)) div 2) div (2 + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A267215-A247761: 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17
((((((x div 2) mod (2 + 2)) + (x div 2)) + 2) div (2 + 1)) + x)
A039232: 0 1 3 4 6 7 8 9 10 11 12 13 15 16 18 19
(((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) + x)
A013939: 0 1 2 3 4 6 7 8 9 11 12 14 15 17 19 20
(((((x div (2 + 1)) mod 2) + 1) * ((x div 2) div (2 + 1))) + x)
A067570: 0 1 2 3 4 5 7
A050746: 0 1 2 3 4 5 7 8 9 11 12 13 14 15 16 19
(x div ((((((2 + 1) * 2) + 1) - (x mod 2)) * (2 + 1)) - x))
A034400: 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 5
((((2 + 1) * 2) div (((2 + 1) * 2) - (x div (2 + 1)))) + x)
A318735-A115661: 1 2 3 4 5 6 7 8 9 11 12 13 15 16 17 21
compr(\x.((2 - (((x div 2) + x) div (2 + 2))) + (x div (2 + 1))),x)
A345490: 32 35 38 40 41 43 44 46 47 48 49 50 51 52 53 54
(((x * x) div (((2 + 2) * (x - 1)) + (x mod (2 + 1)))) * x)
A330373: 0 1 0 3 4 5 6 7 16 18 20 22 36 39 42 60
(((((x + 2) * (x + 1)) + (2 + 1)) * ((x * 2) + 1)) * x)
A129028: 0 27 150 483 1188 2475 4602 7875 12648 19323 28350 40227 55500 74763 98658 127875
((((x mod (((2 + 2) + 1) * 2)) - x) mod ((x * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A122639: 0 1 2 3 4 5 6 7 8 9 21 24 27 30 33 36
compr(\x.(1 - (((((2 + 2) * 2) + x) + 1) mod ((x div 2) + 1))),x)
A096997: 2 4 5 6 8 9 10 11 13 14 16 17 18 19 20 21
compr(\x.(((((x mod (2 + 2)) * 2) * 2) * 2) mod ((x div 2) + 1)),x)
A214913: 0 1 2 3 4 6 7 8 11 12 14 15 16 20 23 24
(((((x * x) + (2 + 2)) + 1) * (((x + 1) * x) + 1)) + x)
A304162: 5 19 65 185 445 935 1769 3085 5045 7835 11665 16769 23405 31855 42425 55445
((((x * x) * 2) div (((((2 + 2) * 2) * 2) + x) - 1)) + x)
A125552: 0 1 2 4 5 7 9 11 13 15 18 20 22 25 27 30
compr(\x.(x - ((((x * x) - 1) mod (((2 + 2) * 2) + x)) + 1)),x)
A256007: 0 1 2 3 4 5 6 8 9 10 14 15 16 24 25 26
((((((x div 2) * x) * 2) * ((x div 2) + 1)) div (x + 1)) + x)
A028444: 0 1 4 6 13
A266665: 0 1 4 6 13 15 26 28 43 45 64 66 89 91 118 120
(((((x - 1) mod ((2 + 2) * (2 + 1))) + 2) mod (x + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A342164: 0 1 2 3 4 5 6 7 8 9 10 11 12 15 17 19
((((x + 2) + 1) div (2 - (x div ((2 + 2) * (0 - 2))))) + x)
A166937-A135130: 1 2 3 5 6 7 9 10 11 12 13 14 15 17 18 19
compr(\x.((((x * x) mod ((((x + 2) * 2) * 2) + 1)) + 1) mod 2),x)
A279933: 1 3 5 6 8 11 13 14 16 19 21 24 26 27 29 32
compr(\x.(((x * x) mod ((((0 - 2) - 2) * (2 + 1)) - 1)) mod 2),x)
A010376: 0 1 3 4 9 10 12
A010388: 0 1 3 4 9 10 12 13 14 16 17 22 23 25
compr(\x.((x div (((x * x) mod ((2 + 2) * (2 + 1))) + 1)) mod 2),x)
A063952: 0 1 2 3 4 5 6 9 10 12 13 14 17 18 20 21
compr(\x.(((x - 1) mod (((x mod (2 + 2)) * (2 + 1)) - 1)) - 2),x)
A052047: 0 1 2 3 4 5 6 8 9 11 12 13 16 17 18 19
compr(\x.(1 - (x mod (((2 + 2) mod ((x div (2 + 1)) + 1)) + 2))),x)
A196990: 1 3 5 7 8 9 11 13 14 15 16 17 19 20 21 22
(((x - ((x + 2) div (((x div 2) div (0 - 2)) - 1))) div 2) + x)
A225647: 1 3 4 6 7
A141206: 1 3 4 6 7 9 10 12 14 15 16 18 20 21 23 24
((((2 mod ((x div 2) + 1)) * (((2 + 1) * 2) + 1)) * 2) + x)
A217761: 0 1 2 3 32 33 34 35 36 37 38 39 40 41 42 43
compr(\x.(x - ((((x mod (((2 + 2) + 1) * 2)) * 2) - 1) * 2)),x)
A092597: 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 28
compr(\x.((x - (((1 - x) * 2) div (((2 + 2) * 2) + 1))) mod 2),x)
A193599: 0 3 5 6 8 10 11 13 16 18 21 23 24 26 28 29
(((((((x * 2) * 2) - ((x div 2) mod 2)) * 2) + 1) * 2) + x)
A161442: 2 19 32 49 70 87 100 117 138 155 168 185 206 223 236 253
compr(\x.(1 - (x mod (((((x div 2) - 1) mod (2 + 2)) + 1) * 2))),x)
A196546: 1 3 5 7 9 11 13 14 15 17 19 21 22 23 25 27
compr(\x.(1 - (x mod ((((x div 2) - 1) mod ((2 + 2) + 1)) + 2))),x)
A338477: 1 3 4 5 6 7 8 9 10 11 13 14 17 18 19 20
compr(\x.((((((2 - x) div 2) * x) div 2) mod ((2 + 2) + 1)) - 2),x)
A192225: 0 1 2 5
A133508: 0 1 2 5 9 10 11 12 13 15
compr(\x.(1 - ((x * x) mod (((x + 2) mod ((2 + 2) + 1)) + 2))),x)
A090563: 1 2 3 4 5 6 7 11 13 14 15 16 17 19 21 22
(((((x + 2) div (2 + 1)) + (x div ((2 + 2) + 1))) div 2) + x)
A045671: 0 1 2 3 5 6 7 9 10 11 13 14 15 16 17 19
((((((x * x) - 1) div 2) mod ((x mod (2 + 2)) + 1)) + 2) + x)
A079228: 2 3 5 5 6 7 10 9 10 11 13 13 14 15 17 17
((((((x * 2) div ((2 + 2) + 1)) + 1) * (2 + 1)) div 2) + x)
A047561: 1 2 3 6 7 9 10 11 14 15 17 18 19 22 23 25
(((((x + 1) div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2) + x)
A067570: 0 1 2 3 4 5 7
A230872: 0 1 2 3 4 5 7 8 9 10 11 12 13 16 17 18
((((((x + 1) * 2) div ((2 + 2) + 1)) * (2 + 1)) div 2) + x)
A047545: 0 1 3 4 7 8 9 11 12 15 16 17 19 20 23 24
((((((x + 2) * 2) div ((2 + 2) + 1)) * (2 + 1)) div 2) + x)
A047560: 0 2 3 6 7 8 10 11 14 15 16 18 19 22 23 24
compr(\x.((((1 - (x mod (2 + 2))) mod (x + 1)) mod (2 + 1)) mod 2),x)
A261514: 0 1 2 3 5 6 7 9 13 14 15 17 18 19 21 25
((((x - (((x div 2) mod (2 + 1)) - 2)) * (2 + 1)) div 2) + x)
A126590: 3 5 6 9 10 12 18 20 21 24 25 27 33 35 36 39
(((2 - ((x - (((2 + 2) * 2) * 2)) * (2 + 1))) * 2) - x)
A115020: 100 93 86 79 72 65 58 51 44 37 30 23 16 9 2
((((x mod ((2 + 2) * 2)) + ((2 + 2) * (2 + 1))) * 2) - x)
A004465: 24 25 26 27 28 29 30 31 16 17 18 19 20 21 22 23
((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) * x)
A245788: 0 1 2 6 4 10 12 21 8 18 20 33 24 39 42 60
(((((x * x) * (x * x)) * (x * x)) + ((2 + 1) * 2)) * x)
A054606: 0 7 140 2205 16408 78155 279972 823585 2097200 4783023 10000060 19487237 35831880 62748595 105413588 170859465
(((((((2 + 2) * (x + 1)) - 1) * x) * (2 + 1)) + 2) * x)
A191745: 0 23 136 411 920 1735 2928 4571 6736 9495 12920 17083 22056 27911 34720 42555
compr(\x.(((x * x) mod ((((x div (2 + 1)) + x) * 2) + 1)) mod 2),x)
A026317: 0 2 3 5 6 9 12 15 18 19 21 22 24 25 27 28
(((x - ((((x div 2) * x) - 1) div ((x + 2) + 1))) * 2) + x)
A187583: 2 5 6 9 10 13 16 17 20 23 24 27 28 31 32 35
(((((x mod (((2 + 2) + 1) * 2)) + 2) mod (x + 1)) * 2) - x)
A211011: 0 1 0 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~6 ~5 ~4 ~3 ~2 ~1
compr(\x.(1 - ((x - (2 + 2)) mod (2 - (x div ((0 - 2) - 2))))),x)
A317092-A102750: 2 3 5 6 7 10 11 12 13 14 15 17 19 20 21 22
compr(\x.(1 - (((x - 2) * 2) mod (2 - (x div ((0 - 2) - 2))))),x)
A276155-A273670: 1 3 4 5 7 9 10 11 13 15 16 17 18 19 20 21
compr(\x.((((x * x) mod (((2 + 2) * (2 + 1)) + 1)) div 2) mod 2),x)
A272669: 0 1 2 3 5 8 10 11 12 13 14 15 16 18
compr(\x.(2 - (x mod (((x div ((x mod (2 + 1)) + 1)) + 2) + 2))),x)
A246780: 2 3 4 6 8 9 11 12 13 14 15 16 17 18 19 21
(((((x + 1) div (x - ((2 mod (x + 1)) - 1))) + 2) + 2) + x)
A087176: 5 6 9 9 9 10 11
((((((2 - ((x div (2 + 2)) mod 2)) * 2) + 1) * 2) * 2) + x)
A004461: 20 21 22 23 16 17 18 19 28 29 30 31 24 25 26 27
compr(\x.(((x div 2) + 2) - ((x mod (((2 + 2) + 1) * 2)) * 2)),x)
A069118: 1 2 3 4 5 6 7 8 9 15 16 17 18 19 28 29
(((((x - (x div ((2 + 2) + 1))) * (2 + 1)) div 2) div 2) + x)
A047486: 0 1 3 5 7 8 9 11 13 15 16 17 19 21 23 24
((((((((x div 2) mod 2) + x) div 2) * (2 + 1)) div 2) * 2) + x)
A266297: 0 1 4 9 10 11 14 19 20 21 24 29 30 31 34 39
((((x div (((2 + 2) * 2) + 1)) + ((2 + 1) * 2)) * 2) + x)
A261921: 12 13 14 15 16 17 18 19 20 23 24 25 26 27 28 29
compr(\x.((((2 - x) div (2 + 2)) mod ((x mod (2 + 1)) + 2)) mod 2),x)
A010379: 0 1 2 4 8 9 13 15 16
compr(\x.(((((x * x) div ((2 + 2) + 1)) mod (x + 1)) div 2) mod 2),x)
A119024: 0 1 2 3 5 6 7 10 11 13 14 15 16 19 20 21
(((x - (((x div 2) - ((2 + 2) mod (x + 1))) div 2)) div 2) + x)
A161579: 0 1 3 4 6 8 9 11 12 13 15 16 17 19 20 22
compr(\x.((((x div (2 + 2)) + x) * (x div ((0 - 2) - 2))) mod 2),x)
A047579: 0 2 5 6 7 8 10 13 14 15 16 18 21 22 23 24
(((((x div (((2 + 2) * (2 + 1)) + 1)) + 2) + 2) * 2) + x)
A046037: 8 9 10 11 12 13 14 15 16 17 18 19 20 23 24 25
((x - (((x - ((((x * 2) * 2) * 2) * 2)) * 2) * 2)) * x)
A174333: 0 61 244 549 976 1525 2196 2989 3904 4941 6100 7381 8784 10309 11956 13725
((x div (((((x + 1) div 2) mod ((2 + 2) * 2)) + 2) + 2)) + x)
A084689: 0 1 2 3 4 5 6 7 9
A031993-A023750-A003796: 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 18
compr(\x.(1 - (x mod ((x mod (((x - 1) mod (2 + 2)) + 2)) + 2))),x)
A065003: 1 2 3 4 5 7 8 10 11 13 14 16 17 19 22 23
compr(\x.(2 - (x mod (((((x - 1) div 2) mod (2 + 2)) + 2) * 2))),x)
A181709: 2 3 4 5 6 7 8 10 11 13 14 15 16 18 20 21
compr(\x.(1 - ((x div 2) mod ((((x div 2) mod (2 + 2)) + 2) + 2))),x)
A037342: 2 3 4 5 6 7 18 19 20 21 22 23 26 27 28 29
compr(\x.(2 - (((x div 2) + 1) mod (((x mod (2 + 2)) + 2) * 2))),x)
A136416: 2 3 4 5 6 7 9 10 11 12 15 17 18 20 21 22
((((x + 1) div (((x - 1) div ((x div 2) + 2)) + 2)) * 2) + x)
A305441-A121405: 2 3 4 7 8 9 10 11 14 15 16 19 20 21 24 25
compr(\x.(1 - (x mod (((((x - 1) * x) div 2) mod (2 + 2)) + 2))),x)
A325366-A192189: 1 2 3 5 6 7 9 10 11 13 14 17 19 21 22 23
(((((x * 2) * 2) + 1) * (x + 2)) div (((2 + 2) * 2) + x))
A076829: 0 1 3 5 8 11 14 17 20 23 27 30 34 37 41 45
compr(\x.((x mod (((2 + 1) * 2) + 1)) - (x mod ((2 + 2) * 2))),x)
A032862-A023789: 0 1 2 3 4 5 6 7 14 15 21 22 23 28 29 30
((((((x div ((2 + 2) + 1)) + 2) * x) div (2 + 2)) mod 2) * x)
A331045-A331044: 0 0 2 3 0 5 0 7 0 0 0 11 0 13 0 0
(((((((x div 2) + x) div 2) + x) - (x mod (2 + 2))) + 2) + x)
A168484: 2 3 5 7 13 14 16 18 24 25 27 29 35 36 38 40
(((2 - (((2 - x) * (x - 2)) div ((x + 2) + 2))) div 2) + x)
A245030-A245027: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20
(1 - ((((((2 + 2) * 2) + 1) div ((x div 2) + 2)) * 2) + x))
A291509: ~7 ~8 ~7 ~8 ~7 ~8 ~7 ~8 ~9 ~10 ~11 ~12 ~13 ~14 ~15 ~16
(((((x div 2) + x) div 2) + x) - ((((x div 2) - 2) - 2) * x))
A101116: 0 5 9 14 15 18
compr(\x.(1 - ((x mod ((x div ((0 - 2) - 2)) - 1)) mod (2 + 2))),x)
A141114: 1 3 5 7 8 9 10 11 13 14 17 19 22 23 25 26
((((x * x) * x) div ((x * 2) - ((x - 1) mod (2 + 2)))) + x)
A010393: 0 1 4 9 16 17 25
((((((x div (2 + 2)) + 2) mod (2 + 2)) + x) div (2 + 2)) + x)
A039233: 0 1 3 4 5 7 8 9 10 11 12 13 15 16 17 19
((((((x - (x div ((0 - 2) - 2))) div 2) + x) + 2) * 2) + x)
A190448: 4 9 12 17 20 25 30 33 38 43 46 51 54 59 64 67
((((((x - ((2 - x) div (2 + 2))) div 2) + x) + 2) * 2) + x)
A190460: 4 7 12 17 20 25 28 33 38 41 46 51 54 59 62 67
(((((x div ((2 - ((x div 2) mod 2)) + 2)) + x) div 2) * 2) - x)
A257806: 0 ~1 0 1 0 1 2 1 2 1 2 3 2 3 4 5
((((2 + 1) * x) div ((((x * 2) * 2) div (x + 2)) + 2)) + x)
A246438: 0 2 3 5 7 8 9 11 12 14 16 17 19 20 22 24
((((((x + 2) * x) mod ((2 + 1) * 2)) + (x div 2)) div 2) + x)
A267453: 0 2 3 5 5 8 7 10 11 12 12 16 15 17 18 20
(((((1 - (x div 2)) mod (((2 + 2) + 1) * 2)) + x) div 2) + x)
A023725: 0 2 3 4 10 12 13 14 15 17 18 19 20 22 23 24
((((((((x * x) * (x * x)) + 2) * 2) * 2) + x) * 2) + x)
A073396: 16 27 150
(1 - (x mod ((1 - (((x div 2) - ((x mod 2) * x)) div 2)) - x)))
A304777: 1 1 1 1 1 2 1 2 2 2 2 4 3 4 3 6
((((((x * x) * x) * ((x + 2) + 2)) + 2) * (x + 2)) + x)
A280828: 4 22 202
(((((x div 2) + 2) * ((x div 2) + 1)) div 2) + ((x + 2) * x))
A213479: 1 4 11 18 30 41 58 73 95 114 141 164 196 223 260 291
(((((((x * 2) - (x mod 2)) + 2) * 2) + 1) * (x div 2)) + x)
A274979: 0 1 15 18 46 51 93 100 156 165 235 246 330 343 441 456
(((((x div 2) * (2 + 1)) + ((x + 2) * 2)) * (x div 2)) + x)
A274978: 0 1 13 16 40 45 81 88 136 145 205 216 288 301 385 400
compr(\x.(1 - (((2 + 2) mod ((x div (2 + 2)) + 1)) + (x mod 2))),x)
A136443: 1 3 5 7 8 9 10 11 13 15 16 17 18 19 20 21
compr(\x.((1 - ((1 - (x div (2 + 2))) mod (2 + 1))) - (x mod 2)),x)
A039248: 0 1 2 3 5 7 8 9 10 11 12 13 14 15 17 19
compr(\x.(((((x - 2) div (2 + 1)) - x) mod (2 + 1)) - (x mod 2)),x)
A285164: 1 3 7 8 11 12 15 16 17 19 21 25 26 29 30 33
compr(\x.(((((x div (2 + 1)) - 1) div (2 + 1)) mod 2) - (x mod 2)),x)
A329779: 1 3 4 5 6 7 8 9 10 11 13 15 17 19 21 22
(((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1) * x) * x)
A174334: 0 73 292 657 1168 1825 2628 3577 4672 5913 7300 8833 10512 12337 14308 16425
compr(\x.((((x * x) * x) mod (((x * 2) * (0 - 2)) - 1)) + x),x)
A099356: 0 1 3 4 6 8 9 10 11 12 13 14 15 16 17 19
(compr(\x.(((x * x) - 1) mod ((((x mod 2) * 2) * 2) + 1)),x) - x)
A194225: 0 0 0 1 2 3 3 3 3 3 4 5 6 6 6 6
(((((((2 + 2) * (2 + 1)) + 1) * (x + 1)) + 2) * x) * x)
A085377: 0 28 164 486 1072 2000 3348 5194 7616 10692 14500 19118 24624 31096 38612 47250
((((x * x) * (2 + 1)) div ((((2 + 2) * 2) * 2) + x)) + x)
A129011: 0 1 2 4 6 8 10 13 16 18 21 24 27 30 33 36
((((x * x) div (2 + 2)) * (((2 + 1) * 2) + 1)) + (x * x))
A195043: 0 1 11 23 44 67 99 133 176 221 275 331 396 463 539 617
((((x * x) div (2 + 2)) * (((2 + 2) * 2) + 1)) + (x * x))
A195045: 0 1 13 27 52 79 117 157 208 261 325 391 468 547 637 729
(((((x div 2) * (2 + 1)) + 2) * ((x * 2) + 1)) + (x * x))
A274682: 2 7 29 44 88 113 179 214 302 347 457 512 644 709 863 938
((compr(\x.((((x div 2) div (2 + 1)) * x) mod 2),x) + 1) + (x * x))
A169627: 1 3 7 13 21 31
A063541: 1 3 7 13 21 31 43 58 75 94 114
(((((x * x) * 2) div (1 - ((2 + 2) * 2))) * 2) + (x * x))
A227849: 0 ~1 0 3 6 9 14 21 26 33 42 51 60 71 84 95
((((((2 + 2) * 2) * 2) * 2) * 2) + ((x * x) * (x * x)))
A272297: 64 65 80 145 320 689 1360 2465 4160 6625 10064 14705 20800 28625 38480 50689
loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) + 2),2,x)
A278290: 0 1 2 1 4 2 1 4 4 2 1 4 4 4 2 1
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x) + x),2,x)
A331857-A256999-A246593-A073138: 0 1 2 3 4 6 6 7 8 12 12 14 12 14 14 15
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),i,(x * 2)),i,1) + x),(x + 1),0)
A178184: 4 36 548 16932 1065508 135283236 34495021604 17626681066020 18032025190548004 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).((i * x) + 1),i,1) + x),(x - 1),0))
A001338: 1 0 2 7 23 88 414 2371 16071 125672 1112082 10976183 119481295 1421542640 18348340126 255323504931
(if x <= 0 then 1 else loop(\(x,i).(x * x),1,loop(\(x,i).(((1 - x) * 2) + 1),x,0)))
A323210: 1 9 9 81 225 1089 3969 16641 65025 263169 1046529 4198401 16769025 67125249 268402689 1073807361
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(1 - (x * 2)),i,0)) + x),x,0)
A096977: 0 1 2 11 36 157 598 2447 9672 38913 155194 621683 2484908 9943269 39765790 159077719
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((x * x) * x),2,i) + x),i,0) - x),x,0)
A231308: 0 1 512 19684 262656 1972809 10340352 42326416 144558080 429746905 1144558080 2787694596 6304338432 13392193969 26965385216 51835553344
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).((i + 2) * x),(i + 1),2) + x),x,0))
A054118: 1 24 144 864 5904 46224 409104 4037904 43954704 522956304 6749977104 93928268304 1401602636304 22324392524304 378011820620304 6780385526348304
(loop(\(x,i).((if (i - 2) <= 0 then 1 else x) * ((if x <= 0 then 1 else x) + 1)),x,0) + 1)
A082732: 1 3 4 13 157 24493 599882557 359859081592975693 4611686018427387903 4611686018427387903
(loop(\(x,i).(if x <= 0 then 1 else ((x * 2) - (if (x - i) <= 0 then 0 else 2))),x,0) + 1)
A060013: 1 2 3 5 9 15 27 51 99 195 387 771 1539 3075 6147 12291
loop(\(x,i).(x * x),1,(loop(\(x,i).((if (x - 2) <= 0 then 1 else x) + x),x,0) + 1))
A164840: 1 4 9 16 49 169
loop(\(x,i).(x * 2),((0 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) - 1),1)
A141020-A140997-A140996-A057728: 1 1 1 1 2 1 1 4 2 1 1 8 4 2 1 1
(loop(\(x,i).(x - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,i)),x,1) - 1)
A121924: 0 1 1 3 4 4 7 9 10 10 14 17 19 20 20 25
loop(\(x,i).(0 - x),x,(if ((if x <= 0 then 1 else x) mod ((2 + 2) + 1)) <= 0 then 2 else 1))
A280569: 1 ~1 1 ~1 1 ~2 1 ~1 1 ~1 2 ~1 1 ~1 1 ~2
(if x <= 0 then 1 else ((x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)) * (2 + 1)))
A241717: 1 3 3 9 3 9 15 21 3 9 15 21 27 33 39 45
loop(\(x,i).((if (2 - i) <= 0 then x else 1) + x),x,loop(\(x,i).(x * 2),x,(2 + 1)))
A158561: 3 7 26 100 392 1552 6176 24640 98432 393472 1573376 6292480 25167872 100667392 402661376 1610629120
(if x <= 0 then 2 else (((loop(\(x,i).loop(\(x,i).(x * x),x,2),x,0) + x) * 2) + 1))
A180269: 2 7 37 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) - 1)))
A110206: 1 36 784 14400 246016 4064256 66064384 1065369600 17112825856 274341298176 4393752592384 70334388633600 1125625045712896 18012199553335296 288212784234102784 4611545282012774400
loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(if x <= 0 then 0 else ((x * 2) + 1)))
A085090: 0 3 5 7 0 11 13 0 17 19 0 23 0 0 29 31
(if x <= 0 then 2 else (loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x div 2),1)))
A032085: 2 1 2 6 12 28 56 120 240 496 992 2016 4032 8128 16256 32640
loop(\(x,i).(x * 2),((1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) div 2),1)
A105272: 1 1 2 1 2 2 1 4 2 2 1 4 4 2 2 1
loop(\(x,i).loop(\(x,i).(i * x),i,loop(\(x,i).((i mod 2) + (x * 2)),x,0)),x,1)
A038081: 1 1 2 12 65520
(compr(\x.loop(\(x,i).loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0),2,(x - 1)),x) + 1)
A334169: 1 2 4 6 8 10 14 16 18 26 30 32 34 50 58 62
(1 - loop(\(x,i).(x * 2),x,(if x <= 0 then 0 else loop(\(x,i).((x - 2) * 2),x,1))))
A270222: 1 5 33 161 705 2945 12033 48641 195585 784385 3141633 12574721 50315265 201293825 805240833 3221094401
(loop(\(x,i).((if (x mod 2) <= 0 then (if x <= 0 then 1 else (0 - 2)) else 2) + x),2,x) + 1)
A065165: 4 6 2 8 1 10 3 12 5 14 7 16 9 18 11 20
loop(\(x,i).(if x <= 0 then 1 else x),(x - 2),loop(\(x,i).(((i mod 2) - x) * 2),x,1))
A112691: 1 0 0 2 1 10 1 42 1 170 1 682 1 2730 1 10922
(loop(\(x,i).((i + x) - (if x <= 0 then 1 else 0)),x,0) + loop(\(x,i).(x * 2),x,1))
A116713: 1 2 5 12 24 45 83 154 290 555 1077 2112 4172 8281 16487 32886
(loop(\(x,i).((if x <= 0 then 1 else x) + (x * 2)),x,0) + loop(\(x,i).(x * 2),x,1))
A085279: 1 3 7 17 43 113 307 857 2443 7073 20707 61097 181243 539633 1610707 4815737
loop(\(x,i).(((x + 1) * x) + 1),(if x <= 0 then 0 else 1),loop(\(x,i).(x * 2),x,1))
A135576: 1 7 21 73 273 1057 4161 16513 65793 262657 1049601 4196353 16781313 67117057 268451841 1073774593
loop(\(x,i).(x div 2),x,loop(\(x,i).((x * x) div 2),x,loop(\(x,i).(x * 2),x,1)))
A079597: 1 1 8 16384 35184372088832 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),loop(\(x,i).(x - (if ((i - 1) - x) <= 0 then i else 0)),x,x),1)
A141021-A140995-A140994: 1 1 1 1 2 1 1 2 4 1 1 2 4 8 1 1
loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1))
A133819: 1 1 4 1 4 9 1 4 9 16 1 4 9 16 25 1
loop(\(x,i).(x * x),2,(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1))
A133821: 1 1 16 1 16 81 1 16 81 256 1 16 81 256 625 1
loop(\(x,i).((i + 1) * x),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A166350: 1 1 2 1 2 6 1 2 6 24 1 2 6 24 120 1
loop(\(x,i).(x * 2),(x - loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)),1)
A245235: 1 2 2 8 8 8 64 64 64 64 1024 1024 1024 1024 1024 32768
(1 - (if x <= 0 then 0 else loop(\(x,i).(loop(\(x,i).((x - 2) * i),i,0) - x),x,1)))
A231407: 1 4 6
A054094: 1 4 6 26 104 548 3366 24034 195168 1777652 17950550 199059674 2405063016 31448531956 442501797654 6666753146498
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) + (if (i - 2) <= 0 then 1 else x)),x,1)
A015486: 1 2 5 25 225 3825 126225 8204625 1058396625 272007932625 139540069436625 143028571172540625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(i div 2),1) + x),x,1)
A138016: 1 2 4 6 10 14 24 34 68 102 256 410 1284 2158 8072 13986
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) div (if x <= 0 then 1 else x)),x,1)
A235136: 1 1 3 5 21 45 231 585 3465 9945 65835 208845 1514205 5221125 40883535 151412625
loop(\(x,i).(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),i,1)) - x),x,1)
A110614: 1 5 15 57 215 841 3319 13193 52599 210057 839543 3356809 13424503 53692553 214759287 859015305
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,1)) * x),x,1)
A028365: 1 2 24 1344 322560 319979520 1290157424640 20972799094947840 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),1)
A130321: 1 2 1 4 2 1 8 4 2 1 16 8 4 2 1 32
loop(\(x,i).(i * x),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),1)
A119502: 1 1 1 2 1 1 6 2 1 1 24 6 2 1 1 120
loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))
A055461: 1 4 1 9 4 1 16 9 4 1 25 16 9 4 1 36
loop(\(x,i).(loop(\(x,i).((if (x mod 2) <= 0 then 1 else x) * x),2,(i + 1)) + x),x,1)
A140158: 1 3 84 88 713 719 3120 3128 9689 9699 24340 24352 52913 52927 103552 103568
loop(\(x,i).loop(\(x,i).(loop(\(x,i).((x * x) * x),2,i) + x),(i + 1),x),x,1)
A253637: 1 514 20710 303050 2538515 14851676 67518444 254402940 828707925 2403012910 6335265586 15427298614 35123831015 75481410200 154282348760 301802764056
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((i * i) + x),(i + 1),x),i,1) + x),x,1)
A005585: 1 7 27 77 182 378 714 1254 2079 3289 5005 7371 10556 14756 20196 27132
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) * i),i,1) + x),x,1)
A121580: 1 3 11 53 317 2237 18077 164237 1656077 18348557 221561357 2895986957 40737113357 613623026957 9854521894157 168083120422157
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,2)) * x),x,1)
A203307: 1 12 672 161280 159989760 645078712320 10486399547473920 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + x),1)
A143084: 1 1 2 2 6 24 6 24 120 720 24 120 720 5040 40320 120
loop(\(x,i).(loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x - 2),x) + x),x,1)
A080735: 1 2 4 5 10 11 22 23 46 47 94 95 96 97 194 195
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),x,((x div 2) + 1)),1,i) - x),x,1)
A140787: 1 1 7 9 39 57 199 313 967 1593 4551 7737 20935 36409 94663 167481
loop(\(x,i).loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,x),x,1)
A007685: 1 2 12 240 16800 4233600 3911846400 13425456844800 172785629592576000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),loop(\(x,i).(x * 2),x,1),1) div loop(\(x,i).(i * x),x,1))
A262032: 1 2 12 6720 871782912000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((2 + 1) * x) div (if i <= 0 then 1 else i)) + x),i,x),x,1)
A087047: 1 4 40 800 28000 1568000 131712000 15805440000 2607897600000 573737472000000 164088916992000000 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else (if ((x mod ((2 + 2) + 1)) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 2))
A276134: 0 1 1 1 1 1 2 2 2 2 1 2 2 2 2 1
(compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x),(x + 1)) * 2)
A043765-A043756-A043748-A043741-A043735-A043730-A043569: 2 4 6 8 12 14 16 24 28 30 32 48 56 60 62 64
loop(\(x,i).(((if ((i - 2) * x) <= 0 then x else 0) - 1) * x),x,(if x <= 0 then 1 else 2))
A081478: 1 2 2 ~2 6 ~6 42 ~42 1806 ~1806 3263442 ~3263442 10650056950806 ~10650056950806 4611686018427387903 4611686018427387903
((1 - loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 1)),x,x)) div (if x <= 0 then 1 else 2))
A131410: 1 1 1 2 2 2 3 3 3 3 5 5 5 5 5 8
(loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2)
A229878: 0 0 1 0 1 2
A140531: 0 0 1 0 1 2 0 1 2 4 0 1 2 4 8 0
(loop(\(x,i).loop(\(x,i).((loop(\(x,i).(x * 2),i,i) * i) + x),i,x),x,1) div 2)
A337631: 0 1 10 55 228 801 2526 7387 20440 54229 139218 348111 851916 2047945 4849606 11337667
(if x <= 0 then 1 else (((x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)) * 2) * 2))
A256251: 1 4 4 12 4 12 20 28 4 12 20 28 36 44 52 60
loop(\(x,i).(i * x),x,(if x <= 0 then 1 else (((if (x - 2) <= 0 then x else 1) + x) + 2)))
A052643: 1 4 12 36 168 960 6480 50400 443520 4354560 47174400 558835200 7185024000 99632332800 1482030950400 23538138624000
loop(\(x,i).loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else x)),1,(((x + 1) * x) div 2))
A103904: 1 2 24 384 10240 491520 44040192 7516192768 2473901162496 1583296743997440 1981583836043018240 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),x,((if x <= 0 then 1 else x) * 2))
A060264: 2 3 5 7 11 11 13 17 17 19 23 23 29 29 29 31
(if x <= 0 then 1 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x + 2)))
A066169: 1 3 5 5 7 7 11 11 11 11 13 13 17 17 17 17
loop(\(x,i).(if (x mod ((i * 2) + 1)) <= 0 then 0 else x),x,(if x <= 0 then 1 else (x * 2)))
A099890: 1 2 4 0 8 0 0 0 16 0 0 0 0 0 0 0
loop(\(x,i).(if x <= 0 then 1 else (if (x mod (2 + 2)) <= 0 then (x * 2) else 0)),1,(x div 2))
A291692: 1 1 0 0 0 0 0 0 8 8 0 0 0 0 0 0
loop(\(x,i).(x * 2),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),2)
A090988: 2 4 2 8 4 2 16 8 4 2 32 16 8 4 2 64
loop(\(x,i).(loop(\(x,i).((if (i - x) <= 0 then i else 0) - x),(x * 2),x) + x),x,2)
A094763: 2 3 5 6 8 12 15 21 26 27 29 33 41 46 56 63
(loop(\(x,i).(loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),i,1) + x),x,0) - x)
A192225: 0 1 2 5
A256249: 0 1 2 5 6 9 14 21 22 25 30 37 46 57 70 85
(x - loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),(2 + 1),x))
A048967: 0 0 1 0 3 2 3 0 7 6 7 4 9 6 7 0
loop(\(x,i).(x * x),1,loop(\(x,i).((if (2 - x) <= 0 then x else 2) + x),x,(1 - x)))
A272711: 1 4 9 16 36 64 144 256 576 1024 2304 4096 9216 16384 36864 65536
(loop(\(x,i).(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,i) + x),x,1) + x)
A014370: 1 2 4 5 7 10 11 13 16 20 21 23 26 30 35 36
(loop(\(x,i).(x - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,i)),x,1) + x)
A212013: 1 3 4 7 9 10 14 17 19 20 25 29 32 34 35 41
loop(\(x,i).(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + 1),(if x <= 0 then 1 else 2),x)
A161539: 2 5 6 7 9 10 12 13 14 15 16 17 18 19 20 21
loop(\(x,i).(if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else (x - 2))),(x * 2),x)
A011603: 0 1 ~1 ~1 1 1 1 ~1 ~1 1 ~1 ~1 ~1 1 1 ~1
loop(\(x,i).(0 - loop(\(x,i).(x - (if (i - x) <= 0 then (i + 1) else 0)),x,x)),2,x)
A116433: 0 1 0 1 1 0 1 2 1 0 1 2 3 1 0 1
(1 - loop(\(x,i).(x - loop(\(x,i).(x * 2),((if x <= 0 then 0 else i) - 1),1)),x,x))
A295514: 1 1 2 2 5 5 5 5 12 12 12 12 12 12 12 12
(1 - loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod (i + 1)) <= 0 then 2 else 1))),x,x))
A137293-A049711: 1 1 2 1 2 1 2 3 4 1 2 1 2 3 4 1
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x))
A095832: 0 2 0 6 2 0 12 6 2 0 20 12 6 2 0 30
(0 - loop(\(x,i).(x - (if x <= 0 then 0 else ((if (x - 1) <= 0 then x else i) + 1))),x,x))
A343138: 0 1 0 1 1 0 1 2 1 0 1 3 2 1 0 1
compr(\x.loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) mod (x + 2)),2,x),x)
A171886: 0 1 2 3 5 6 7 9 10 14 15 17 20 21 27 28
(loop(\(x,i).(x * x),x,loop(\(x,i).(i * x),x,1)) div (if x <= 0 then 1 else (x * x)))
A260614: 1 1 4 186624 4611686018427387903
((if x <= 0 then 1 else loop(\(x,i).(x - (if ((i + 2) - x) <= 0 then i else 1)),x,x)) + x)
A125568-A101504: 1 1 2 3 4 4 5 6 5 6 7 8 6 7 8 9
(loop(\(x,i).(x - (if x <= 0 then 1 else ((if (i - x) <= 0 then i else x) * 2))),x,x) + x)
A053188: 0 0 1 1 0 1 2 2 1 0 1 2 3 3 2 1
(if x <= 0 then 1 else (if (x mod 2) <= 0 then (x * x) else loop(\(x,i).((x * x) * x),x,x)))
A004231: 1 1 4 7625597484987
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (if x <= 0 then (2 + 1) else (0 - 1)) else 0)
A030121: 3 0 0 0 0 0 0 0 0 0 ~1 0 0 0 0 0
(if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 0)
A302777: 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1
(if ((((x div (2 + 1)) * x) div 2) mod (2 + 1)) <= 0 then (if x <= 0 then 0 else 1) else 0)
A305816-A280910: 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0
(if (x mod (2 + 2)) <= 0 then (((1 - x) mod (2 + 1)) - (if x <= 0 then 0 else 1)) else 0)
A014177-A014129: 1 0 0 0 ~1 0 0 0 1 0 0 0 0 0 0 0
(if ((x mod (((if ((x div 2) - 2) <= 0 then 0 else 2) + 2) + 1)) - 1) <= 0 then 1 else 0)
A285898: 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1
(if (2 - (x mod (((if ((x div 2) - 2) <= 0 then 0 else 2) + 2) + 1))) <= 0 then 1 else 0)
A327396: 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0
(if ((((if (x mod 2) <= 0 then x else 2) + x) div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 0)
A025912: 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0
(if x <= 0 then 2 else (if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 0))
A316825: 2 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0
(((if x <= 0 then 2 else 0) * 2) - (if (x mod ((2 + 2) * (2 + 1))) <= 0 then 1 else 0))
A010104: 3 0 0 0 0 0 0 0 0 0 0 0 ~1 0 0 0
(if (x mod (2 + 1)) <= 0 then loop(\(x,i).((x * 2) * 2),(x div (2 + 1)),1) else 0)
A133851: 1 0 0 4 0 0 16 0 0 64 0 0 256 0 0 1024
(if (x mod (2 + 1)) <= 0 then loop(\(x,i).((0 - x) * 2),(x div (2 + 1)),1) else 0)
A077959: 1 0 0 ~2 0 0 4 0 0 ~8 0 0 16 0 0 ~32
(if x <= 0 then 1 else (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then (2 + 1) else 0))
A127802: 1 3 0 3 0 0 0 3 0 0 0 0 0 0 0 3
(if (x mod 2) <= 0 then loop(\(x,i).((x - ((i * x) * 2)) * 2),(x div 2),1) else 0)
A067994: 1 0 ~2 0 12 0 ~120 0 1680 0 ~30240 0 665280 0 ~17297280 0
(if (x mod 2) <= 0 then loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) else 0)
A279118: 1 0 111 0 11111 0 1111111 0 111111111 0 11111111111 0 1111111111111 0 111111111111111 0
loop(\(x,i).((loop(\(x,i).((x + 2) * 2),i,0) + x) * (2 + 1)),(x + 1),0)
A118979: 12 72 300 1080 3612 11592 36300 111960 342012 1038312 3139500 9467640 28501212 85700232 257493900 773268120
loop(\(x,i).(x * x),1,loop(\(x,i).(((i * 2) * (i + 1)) + x),(x + 1),0))
A208140: 16 256 1600 6400 19600 50176 112896 230400 435600 774400 1308736 2119936 3312400 5017600 7398400 10653696
loop(\(x,i).(x * 2),x,loop(\(x,i).((((x + 2) * 2) * 2) + x),(x + 1),0))
A060458: 8 96 992 9984 99968 999936 9999872 99999744 999999488 9999998976 99999997952 999999995904 9999999991808 99999999983616 999999999967232 9999999999934464
loop(\(x,i).((((loop(\(x,i).(i * x),i,1) + x) * i) + x) + x),(x + 1),0)
A002538: 1 8 58 444 3708 33984 341136 3733920 44339040 568356480 7827719040 115336085760 1810992556800 30196376985600 532953524275200 9927928075161600
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + ((i * i) * x)),(x + 1),0)
A061572: 1 5 47 758 18974 683184 33476736 2142516144 173543847984 17354385161280 2099880608143680 302382807612606720 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(i * x),(i - 1),1) + x) * (i + 1)),(x - 1),0)
A052881: 0 0 2 9 44 250 1644 12348 104544 986256 10265760 116915040 1446526080 19323757440 277238626560 4251984710400
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x + 1) * 2),(x - 1),0))
A240506: 1 3 7 21 67 213 667 2061 6307 19173 58027 175101 527347 1586133 4766587 14316141
loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),(x * 2),(if x <= 0 then 1 else 0))
A267867: 1 110 11110 1111110 111111110 11111111110 1111111111110 111111111111110 11111111111111110 1111111111111111110 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + 1),x,(if x <= 0 then 1 else 0))
A073548: 1 6 66 666 6666 66666 666666 6666666 66666666 666666666 6666666666 66666666666 666666666666 6666666666666 66666666666666 666666666666666
loop(\(x,i).((((x + 1) * 2) - (x div (i + 1))) * 2),x,(if x <= 0 then 1 else 0))
A171074: 1 4 18 68 250 922 3430 12868 48618 184754 705430 2704154 10400598 40116598 155117518 601080388
(if (x mod ((2 + 2) * 2)) <= 0 then loop(\(x,i).(((i * 2) - 1) * x),x,1) else 0)
A271768: 1 0 0 0 0 0 0 0 2027025 0 0 0 0 0 0 0
(if (x - 1) <= 0 then 1 else (if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 0))
A087780: 1 1 0 0 0 0 2 0 0 0 0 0 0 2 0 0
(if x <= 0 then 1 else (if (((x * x) * x) mod (((x + 1) * 2) + 1)) <= 0 then 2 else 0))
A256505: 1 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0
(if ((x div 2) - 1) <= 0 then 1 else (if ((x mod ((x mod 2) + 2)) - 1) <= 0 then 2 else 0))
A044945: 1 1 1 1 2 0 2 2 2 2 2 0 2 2 2 2
(if (x mod (2 + 2)) <= 0 then (if x <= 0 then 1 else ((x * x) mod ((2 + 1) * 2))) else 0)
A028719-A028715-A028711-A028707-A028662-A028654-A028646-A028638-A028630: 1 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0
(if x <= 0 then 1 else (if (x mod (((2 + 2) * 2) + 1)) <= 0 then ((x + 1) * 2) else 0))
A072840-A023921: 1 0 0 0 0 0 0 0 0 20 0 0 0 0 0 0
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).((x + 1) * 2),((x + 1) div 2),0))
A208900: 2 2 6 10 26 50 114 226 482 962 1986 3970 8066 16130 32514 65026
(if ((x mod ((((x div 2) + 1) div 2) + 1)) mod 2) <= 0 then (if x <= 0 then 1 else 2) else 0)
A080378: 1 2 2 0 2 0 2 0 2 2 2 0 2 0 2 2
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then (if x <= 0 then 1 else 2) else 0)
A136521: 1 0 2 0 0 2 0 0 0 2 0 0 0 0 2 0
(if x <= 0 then 1 else (if (x mod ((x mod (((x mod 2) + 2) * 2)) + 2)) <= 0 then 2 else 0))
A338268: 1 0 0 0 2 0 0 0 2 0 0 0 2 0 0 2
(if x <= 0 then 1 else (if (x mod (((x div 2) + 2) + 2)) <= 0 then ((2 + 2) * 2) else 0))
A197623: 1 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0
(2 - ((x mod 2) - (if x <= 0 then 1 else (if (x mod (2 + 2)) <= 0 then (2 + 2) else 0))))
A010123: 3 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1
(if x <= 0 then 1 else (if ((x + 2) mod ((2 + 1) * 2)) <= 0 then (x div (2 + 2)) else 0))
A091398-A087781: 1 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0
loop(\(x,i).loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1),(x mod (2 + 2)),0)
A279540: 0 1 10 10000000000
(if x <= 0 then 1 else (if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then (x - 2) else 0))
A123565: 1 0 0 0 2 0 4 0 0 0 8 0 10 0 0 0
loop(\(x,i).(i * x),x,(1 - loop(\(x,i).((x - (i mod 2)) * 2),(x - 2),0)))
A052653: 1 1 2 18 120 1320 15120 216720 3427200 62052480 1237420800 27263174400 653837184000 17005993804800 476080648243200 14283727121664000
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((2 + 1) * x) - 2),(x * 2),0))
A155593: 1 10 84 736 6576 59080 531504 4783096 43046976 387421000 3486785424 31381061656 282429540576 2541865836520 22876792471344 205891132127416
(if x <= 0 then 1 else (if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then (x div 2) else 0))
A028597: 1 0 0 0 2 0 0 0 0 4 0 0 0 0 0 0
(if (2 - x) <= 0 then ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) - (x mod 2)) else 0)
A328620-A305445-A040076: 0 0 1 0 1 0 2 1 1 0 1 0 2 1 1 0
((if (x mod (((2 + 2) mod (x + 2)) + 2)) <= 0 then 1 else 0) + (if x <= 0 then 2 else 0))
A111025: 3 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 2),x,(if x <= 0 then 2 else 0))
A073551: 2 12 132 1332 13332 133332 1333332 13333332 133333332 1333333332 13333333332 133333333332 1333333333332 13333333333332 133333333333332 1333333333333332
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * 2) * 2) * (2 + 1)) + 1),x,0))
A260862: 0 1 169 24649 3553225 511709641 73686731209 10610895808969 1527969074670025 220027547690625481 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * (if x <= 0 then 1 else x)) + 1) * 2) + 1),x,0)
A073556: 0 13 133 1333 13333 133333 1333333 13333333 133333333 1333333333 13333333333 133333333333 1333333333333 13333333333333 133333333333333 1333333333333333
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(((x + 1) * 2) + 1),x,0))
A001117: 1 0 0 6 36 150 540 1806 5796 18150 55980 171006 519156 1569750 4733820 14250606
loop(\(x,i).(x * x),1,loop(\(x,i).(((((x * 2) * 2) * 2) * 2) + 1),x,0))
A260866: 0 1 289 74529 19088161 4886709025 1250999747361 320255971115809 81985529178309409 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),x,0))
A075414: 0 25 3025 308025 30858025 3086358025 308641358025 30864191358025 3086419691358025 308641974691358025 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).((i + x) - ((x + 1) div ((2 + 2) + 1))),x,0))
A130248: 1 1 3 6 9 12 16 20 24 28 33 38 43 48 53 58
(if (x mod 2) <= 0 then 1 else loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0))
A280410: 1 10 1 1110 1 111110 1 11111110 1 1111111110 1 111111111110 1 11111111111110 1 1111111111111110
loop(\(x,i).(x * 2),((x - 1) * x),loop(\(x,i).(((x * 2) * 2) + 1),x,0))
A127847: 0 1 20 1344 348160 357564416 1465657589760 24017731997138944 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(((x * 2) * 2) - 1),x,0))
A085280: 1 4 14 48 166 584 2094 7648 28406 107064 408574 1575248 6123846 23963944 94261454 372262848
(1 - loop(\(x,i).((x - loop(\(x,i).((x + 2) * 2),i,0)) * (2 + 1)),x,0))
A006230: 1 13 73 301 1081 3613 11593 36301 111961 342013 1038313 3139501 9467641 28501213 85700233 257493901
loop(\(x,i).(if x <= 0 then 2 else (x - (((1 - x) * (2 + 2)) * (2 + 1)))),x,0)
A141012: 0 2 14 170 2198 28562 371294 4826810 62748518 815730722 10604499374 137858491850 1792160394038 23298085122482 302875106592254 3937376385699290
(1 - loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x - 2) * (2 + 1)),x,0)))
A220978: 1 19 217 2107 19441 176419 1592137 14342347 129120481 1162202419 10460176057 94142647387 847287015121 7625592702019 68630363015977 617673353237227
(loop(\(x,i).(((2 + 1) * x) + 2),x,0) * loop(\(x,i).((x * 2) + 1),x,0))
A059387: 0 2 24 182 1200 7502 45864 277622 1672800 10057502 60406104 362617862 2176246800 13059091502 78359364744 470170602902
loop(\(x,i).(((x div 2) * x) div (2 + 1)),1,loop(\(x,i).((x * 2) + 1),x,0))
A006095: 0 0 1 7 35 155 651 2667 10795 43435 174251 698027 2794155 11180715 44731051 178940587
loop(\(x,i).((x * 2) * 2),((x * 2) - 1),loop(\(x,i).((x * 2) + 1),x,0))
A163839: 0 4 192 7168 245760 8126464 264241152 8522825728 273804165120 8778913153024 281200098803712 9002801208229888 288160007407534080 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((x * 2) + 1),x,0))
A155600: 1 8 78 722 6546 59018 531378 4782842 43046466 387419978 3486783378 31381057562 282429532386 2541865820138 22876792438578 205891132061882
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) + 1),x,0))
A155588: 1 6 28 132 640 3156 15688 78252 390880 1953636 9766648 48830172 244144720 1220711316 6103532008 30517610892
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,0))
A155596: 1 4 22 118 610 3094 15562 77998 390370 1952614 9764602 48826078 244136530 1220694934 6103499242 30517545358
((loop(\(x,i).((2 + 1) * x),x,1) - 2) * loop(\(x,i).((x * 2) + 1),x,0))
A090021: 0 1 21 175 1185 7471 45801 277495 1672545 10056991 60405081 362615815 2176242705 13059083311 78359348361 470170570135
(1 - loop(\(x,i).((if (x mod 2) <= 0 then 1 else (2 + 2)) * ((x * 2) - 1)),x,0))
A091052: 1 2 13 26 205 410 3277 6554 52429 104858 838861 1677722 13421773 26843546 214748365 429496730
loop(\(x,i).(((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) * x) + 1),x,0)
A322925: 0 1 2 21 22 221 222 2221 2222 22221 22222 222221 222222 2222221 2222222 22222221
loop(\(x,i).(((x div (if (i mod (2 + 1)) <= 0 then (2 + 2) else 1)) + x) + 1),x,0)
A178784: 0 1 3 4 9 19 24 49 99
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A083314: 1 3 12 51 216 903 3732 15291 62256 252303 1019052 4105731 16511496 66311703 266043972 1066567371
(loop(\(x,i).(1 - (x * 2)),x,0) - loop(\(x,i).(((2 + 1) * x) - 1),x,0))
A344747: 0 2 3 16 35 132 343 1136 3195 10012 29183 89256 264355 799892 2386023 7185376
loop(\(x,i).((((loop(\(x,i).(x * 2),(i - 2),1) + x) * 2) + x) + 1),x,0)
A336337: 0 3 12 41 132 413 1272 3881 11772 35573 107232 322721 970212 2914733 8752392 26273561
loop(\(x,i).(((x * 2) * (2 + 1)) - loop(\(x,i).(1 - (x * 2)),i,1)),x,0)
A091055: 0 1 3 23 127 783 4655 28015 167919 1007855 6046447 36280047 217677551 1306070767 7836413679 47018503919
loop(\(x,i).(if x <= 0 then 2 else (((((i * 2) - 1) * x) * 2) div (i + 1))),x,0)
A262543: 0 2 4 10 28 84 264 858 2860 9724 33592 117572 416024 1485800 5348880 19389690
(1 - loop(\(x,i).((x + 1) * 2),x,loop(\(x,i).((x - (2 + 1)) * 2),x,0)))
A092841: 1 11 67 323 1411 5891 24067 97283 391171 1568771 6283267 25149443 100630531 402587651 1610481667 6442188803
(1 - loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x - (2 + 1)) * 2),x,0)))
A212850: 1 19 163 1135 7291 45199 275563 1666495 10038331 60348079 362442763 2175719455 13057505371 78354598159 470156286763 2821023814015
loop(\(x,i).(x * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,0))
A075411: 0 4 484 49284 4937284 493817284 49382617284 4938270617284 493827150617284 49382715950617284 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (0 - 2)),x,loop(\(x,i).(0 - ((x + 1) * 2)),x,0))
A159277: 0 8 32 384 2560 22528 172032 1409024 11141120 89653248 715128832 5729419264 45801799680 366548615168 2931852050432 23456963887104
(loop(\(x,i).((x + 2) * (2 + 1)),x,1) - loop(\(x,i).((x + 1) * 2),x,0))
A135914: 1 7 27 91 291 907 2787 8491 25731 77707 234147 704491 2117571 6360907 19099107 57330091
(loop(\(x,i).(((x * 2) + 1) * 2),x,2) - loop(\(x,i).((x + 1) * 2),x,0))
A123290: 2 8 36 156 652 2668 10796 43436 174252 698028 2794156 11180716 44731052 178940588 715795116 2863245996
loop(\(x,i).(x * x),1,loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,0))
A075417: 0 64 7744 788544 78996544 7901076544 790121876544 79012329876544 7901234409876544 790123455209876544 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,2) + 1) - loop(\(x,i).(((x - 2) * 2) * 2),x,0))
A251743: 3 13 49 185 713 2793 11049 43945 175273 700073 2798249 11188905 44747433 178973353 715860649 2863377065
loop(\(x,i).(x * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),x,0))
A075413: 0 16 1936 197136 19749136 1975269136 197530469136 19753082469136 1975308602469136 197530863802469136 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x + 2) * 2) * 2),x,1) - loop(\(x,i).((x + 2) * 2),x,0))
A272417: 1 8 44 204 876 3628 14764 59564 239276 959148 3840684 15370924 61500076 246033068 984197804 3936922284
(1 - loop(\(x,i).((x * 2) * 2),x,(2 - loop(\(x,i).((x + 2) * 2),x,0))))
A020523: ~1 9 161 1665 14849 124929 1024001 8290305 66715649 535298049 4288675841 34334572545 274777243649 2198620602369 17590575431681 140731045904385
loop(\(x,i).loop(\(x,i).((x + 1) * 2),((2 + 1) * 2),((x * 2) * 2)),x,0)
A295838: 0 126 32382 8289918 2122219134 543288098430 139081753198206 35604928818740862 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),(i - 2),1) + x) - ((x * 2) * 2)),x,0)
A091004: 0 1 ~2 8 ~20 68 ~188 596 ~1724 5300 ~15644 47444 ~141308 425972 ~1273820 3829652
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),x,0)
A226511: 0 3 24 147 816 4323 22344 113907 576096 2900163 14559864 72976467 365413776 1828663203 9148098984 45754843827
loop(\(x,i).((x * x) * x),1,(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,0)))
A253103: 1 27 125 1331 9261 79507 614125 5000211 39651821 318611987 2543302125 20368783891 162860787181 1303244200467 10424521926125 83401901988371
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155609: 1 2 8 38 176 782 3368 14198 58976 242462 989528 4017158 16245776 65514542 263652488 1059392918
loop(\(x,i).((x div (2 + 1)) * x),1,loop(\(x,i).(((2 + 1) * x) - 2),x,0))
A219205: 0 2 24 234 2160 19602 176904 1593594 14346720 129133602 1162241784 10460294154 94143001680 847288078002 7625595890664 68630372581914
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) - 2),x,0))
A155602: 1 6 24 90 336 1266 4824 18570 72096 281826 1107624 4371450 17308656 68703186 273218424 1088090730
loop(\(x,i).(x - ((((x div (2 + 1)) mod 2) - (if x <= 0 then 1 else x)) div 2)),x,0)
A172161: 0 1 2 3 4 6 9 13 20 30 45 67 101 151 227 340
loop(\(x,i).((x * 2) - 1),x,loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,0))
A165130: 0 31 189 889 3825 15841 64449 259969 1044225 4185601 16759809 67074049 268365825 1073602561 4294688769 17179312129
loop(\(x,i).(loop(\(x,i).((((i mod 2) + x) * 2) + x),i,0) + (x * 2)),x,0)
A174395: 0 2 10 40 140 462 1470 4580 14080 42922 130130 393120 1184820 3565382 10717990 32197660
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) - 1),(i - 1),1) - (x * 2)),x,0)
A091001: 0 1 0 5 4 33 56 253 588 2105 5632 18261 52052 161617 473928 1443629
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),(i - 1),1) - (x * 2)),x,0)
A015528: 0 1 3 19 87 451 2223 11179 55767 279091 1394943 6975739 34876647 174387331 871928463 4359658699
loop(\(x,i).((0 - x) * (2 + 1)),(x - 1),loop(\(x,i).(1 - (x * 2)),x,0))
A080424: 0 1 3 27 135 891 5103 31347 185895 1121931 6711903 40330467 241805655 1451365371 8706597903 52244370387
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((i mod 2) - (x * 2)),x,0))
A095129: 0 1 1 15 45 231 861 3655 14365 58311 232221 932295 3725085 14913991 59639581 238612935
loop(\(x,i).(if (x mod 2) <= 0 then (((2 + 2) * 2) + (x div 2)) else (x div 2)),x,0)
A143845: 0 8 12 14 15 7 3 1 0 8 12 14 15 7 3 1
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + ((i * x) * 2)),x,0)
A122649: 0 1 7 57 561 6555 89055 1381905 24137505 468934515 10033419375 234484536825 5943863027025 162446292283275 4761954230608575 149048910271886625
(1 - loop(\(x,i).(x * 2),x,loop(\(x,i).(x - (((i + 1) * i) + 2)),x,0)))
A027608: 1 9 49 209 769 2561 7937 23297 65537 178177 471041 1216513 3080193 7667713 18808833 45547521
(1 - loop(\(x,i).(((x * 2) - ((x + 1) div (if i <= 0 then 1 else i))) * 2),x,0))
A244174: 1 3 7 21 71 253 925 3433 12871 48621 184757 705433 2704157 10400601 40116601 155117521
loop(\(x,i).((x * x) div 2),1,(1 - loop(\(x,i).((x * 2) - (i mod 2)),x,0)))
A241685: 0 2 4 18 60 242 924 3698 14620 58482 233244 932978 3729180 14916722 59655964 238623858
loop(\(x,i).((((if x <= 0 then (2 + 1) else x) * (2 + 1)) * (2 + 1)) + x),x,0)
A136926: 0 27 270 2700 27000 270000 2700000 27000000 270000000 2700000000 27000000000 270000000000 2700000000000 27000000000000 270000000000000
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (((i * 2) - 1) * x)),x,0)
A087547: 0 1 4 22 160 1464 16224 211632 3179520 54092160 1028113920 21594021120 496702402560 12418039065600 335293281792000 9723592350259200
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + (((i * 2) - 1) * x)),x,0)
A192457: 0 2 14 118 1210 14730 208110 3350550 60580170 1215657450 26813382750 644830644150 16793095369050 470839138619850 14140985865756750 452938463797569750
loop(\(x,i).(if x <= 0 then 1 else ((((((x * x) * 2) + 1) * x) + 1) * x)),x,0)
A152463: 0 1 4 532
loop(\(x,i).(i * x),x,loop(\(x,i).((((i * i) * (i + 1)) div 2) + x),x,0))
A037960: 0 1 14 150 1560 16800 191520 2328480 30240000 419126400 6187104000 97037740800 1612798387200 28332944640000 524813313024000 10226013557760000
loop(\(x,i).(((x div 2) + x) * x),1,loop(\(x,i).(((x + 2) * 2) + x),x,0))
A087292: 0 24 384 4056 38400 351384 3179904 28671576 258201600 2324286744 20919997824 188284231896 1694570841600 15251175838104 137260697334144 1235346620381016
(1 - loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),(1 - (i * 2))) + x),x,0))
A334155: 1 2 5 15 57 273 1593 10953 86553 771993 7666713 83871513 1001957913 12976997913 181106559513 2709277004313
loop(\(x,i).(loop(\(x,i).((x * x) * (2 + 2)),(i - 1),1) + (x * x)),x,0)
A167424: 0 1 5 89 24305 1664474849 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((2 + 1) * x) + 2),x,2) - loop(\(x,i).((i + x) + x),x,0))
A094618: 2 7 22 69 216 671 2066 6313 19180 58035 175110 527357 1586144 4766599 14316154 42981201
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((((i + 2) + 1) * i) + x),x,0))
A240434: 0 4 28 128 480 1600 4928 14336 39936 107520 281600 720896 1810432 4472832 10895360 26214400
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x),x,0)
A103976: 0 1 4 9 18 29 44 61 82 109 138 173 212 253 298 349
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) + loop(\(x,i).(x - (i - x)),x,0))
A036550: 1 3 9 29 95 307 973 3033 9339 28511 86537 261637 788983 2375115 7141701 21457841
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),i,i) + x),x,0)
A338226: 0 9 198 3087 41976 530865 6419754 75308643 864197532 9753086421 108641975310 1197530864199 13086419753088 141975308641977 1530864197530866 16419753086419755
loop(\(x,i).(loop(\(x,i).((i * i) * x),(i - 1),1) + ((i * i) * x)),x,0)
A001819: 0 1 5 49 820 21076 773136 38402064 2483133696 202759531776 20407635072000 2482492033152000 359072203696128000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(((i * 2) + 1) * x),(i - 2),1) + x) * i),x,0)
A233481: 0 1 4 21 144 1245 13140 164745 2399040 39834585 742940100 15374360925 349484058000 8654336615925 231842662751700 6679510641428625
(loop(\(x,i).(((x * x) * (x * x)) + 1),x,(if (x - 1) <= 0 then 1 else 0)) - 1)
A308507: 0 1 1 16 83521 4611686018427387903 4611686018427387903
((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040308: 18 12 36 12 36 12 36 12 36 12 36 12 36 12 36 12
((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040212: 15 10 30 10 30 10 30 10 30 10 30 10 30 10 30 10
((((2 + 2) * 2) * (if x <= 0 then 1 else 2)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040554: 24 16 48 16 48 16 48 16 48 16 48 16 48 16 48 16
(loop(\(x,i).(((if x <= 0 then 1 else x) * 2) * ((2 + 2) + 1)),(x * 2),0) + 1)
A152756: 1 101 10001 1000001 100000001 10000000001 1000000000001 100000000000001 10000000000000001 1000000000000000001 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then x else (if ((x div 2) mod (2 + 1)) <= 0 then (x div 2) else 0)) + 1)
A160596: 1 1 3 1 5 1 7 4 9 1 11 1 13 7 15 1
loop(\(x,i).(x * 2),loop(\(x,i).((x + 1) mod ((i div (2 + 1)) + 2)),x,0),1)
A138882: 1 2 1 2 4 1 2 4 8 16 1 2 4 8 16 32
(loop(\(x,i).(x - ((if x <= 0 then 1 else x) div ((x mod (0 - 2)) - 2))),x,0) + 1)
A007601: 1 2 3 4 5 7 10 13 19 28 37 55 82 109 163 244
(loop(\(x,i).(((2 + 2) + 1) * x),2,loop(\(x,i).((x + 2) * 2),x,0)) + 1)
A139701: 1 101 301 701 1501 3101 6301 12701 25501 51101 102301 204701 409501 819101 1638301 3276701
(loop(\(x,i).(if x <= 0 then (2 + 1) else (((x * 2) - (x mod 2)) * 2)),x,0) + 1)
A307702: 1 4 11 41 161 641 2561 10241 40961 163841 655361 2621441 10485761 41943041 167772161 671088641
(loop(\(x,i).(loop(\(x,i).(((x + 2) * 2) + x),i,0) + (x * 2)),x,0) + 1)
A255459: 1 5 25 101 361 1205 3865 12101 37321 114005 346105 1046501 3155881 9500405 28566745 85831301
(x div (loop(\(x,i).(if (x div 2) <= 0 then ((i * 2) + 1) else (x div 2)),x,0) + 1))
A229878: 0 0 1 0 1 2
A115346: 0 0 1 0 1 2 0 1 2 4 0 1 2 4 7 0
(loop(\(x,i).(x * 2),(((x div (2 + 1)) + 1) div 2),1) + (if x <= 0 then 0 else 1))
A251547: 1 2 2 3 3 3 3 3 3 5 5 5 5 5 5 9
(loop(\(x,i).(((0 - x) * 2) * ((2 + 2) + 1)),x,1) + (if x <= 0 then 0 else 1))
A103461: 1 ~9 101 ~999 10001 ~99999 1000001 ~9999999 100000001 ~999999999 10000000001 ~99999999999 1000000000001 ~9999999999999 100000000000001 ~999999999999999
(loop(\(x,i).(((x div ((i + 2) + 2)) + x) + 2),x,1) - (if x <= 0 then 0 else 1))
A134421: 1 2 4 6 8 11 14 17 20 23 26 29 32 35 39 43
((loop(\(x,i).(((i + 1) * x) - 1),x,1) * (x + 1)) - (if x <= 0 then 0 else 1))
A082425: 1 1 5 27 169 1217 9939 90871 920069 10222989 123698167 1619321459 22805443881 343835923129 5525934478859 94309281772527
loop(\(x,i).(((x * 2) * 2) * ((i * 2) - 1)),(x - 1),(if x <= 0 then 0 else 1))
A052714: 0 1 4 48 960 26880 967680 42577920 2214051840 132843110400 9033331507200 686533194547200 57668788341964800 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 2) + (if x <= 0 then 0 else 1))
A343177: 4 6 7 9 11 15 19 27 35 51 67 99 131 195 259 387
(loop(\(x,i).((2 + 1) * x),x,1) - (((x mod 2) * 2) - (if x <= 0 then 0 else 1)))
A084182: 1 2 10 26 82 242 730 2186 6562 19682 59050 177146 531442 1594322 4782970 14348906
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + x) + (if x <= 0 then 0 else 1))
A266959: 1 12 103 1004 10005 100006 1000007 10000008 100000009 1000000010 10000000011 100000000012 1000000000013 10000000000014 100000000000015 1000000000000016
(loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then (2 + 1) else 0) + x) + x),x,0) + 1)
A122552: 1 1 1 4 7 13 28 55 109 220 439 877 1756 3511 7021 14044
loop(\(x,i).(x * 2),(x - (if ((x div (0 - 2)) mod (2 + 1)) <= 0 then 0 else 1)),1)
A128055: 1 1 2 4 8 32 64 64 128 256 512 2048 4096 4096 8192 16384
((if x <= 0 then 2 else (if ((((2 + 2) + 1) * 2) mod (x + 2)) <= 0 then 0 else 1)) - 1)
A271102: 1 0 0 ~1 0 0 0 0 ~1 0 0 0 0 0 0 0
(loop(\(x,i).(x * 2),(if (((2 - x) + 2) * x) <= 0 then (x - 1) else 1),1) - 1)
A078485: 0 1 1 1 7 15 31 63 127 255 511 1023 2047 4095 8191 16383
loop(\(x,i).(x * 2),loop(\(x,i).((i + 2) * x),(x mod ((2 + 2) + 1)),1),1)
A133376: 2 8 4096 1152921504606846976 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((x * 2) * 2),x,1) + 1)) - 1)
A020531: 5 29 305 4289 66305 1051649 16789505 268484609 4295163905 68720263169 1099514773505 17592198627329 281475027042305 4503599828697089 72057594843234305 1152921507828072449
(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((i * i) * x),x,1) + 1)) - 1)
A020551: 5 5 29 1405 333505 207403201 268740115201 645241358764801 2642908298242867201 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod (((2 + 2) + 1) * 2)) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) + 1)
A252503-A085398: 3 2 2 2 2 2 2 2 2 2 5 2 2 2 2 2
((if (x - 2) <= 0 then x else (if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 2 else 1)) + 1)
A078832: 1 2 3 2 2 2 3 2 2 2 2 2 2 2 3 2
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * ((2 + 2) + 1)) else 1)
A040239: 15 1 30 1 30 1 30 1 30 1 30 1 30 1 30 1
(if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * ((2 + 2) + 1)) else 1)
A040419: 20 1 40 1 40 1 40 1 40 1 40 1 40 1 40 1
(if x <= 0 then 1 else (if (x mod (2 + 2)) <= 0 then ((x * 2) mod ((2 + 2) + 1)) else 1))
A204129-A204114: 1 1 1 1 3 1 1 1 1 1 1 1 4 1 1 1
loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) + x),(((x * 2) * 2) - 1),1)
A028363: 1 30 9845550 171634285407048750 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(loop(\(x,i).(x * 2),x,1) div (((x div 2) * 2) + 1)),1)
A212671: 1 2 1 2 6 720 362880 6402373705728000 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,((loop(\(x,i).((2 + 1) * x),x,2) + 2) + 1)) + 1)
A279512: 6 19 85 457 2641 15649 93505 560257 3360001 20156929 120935425 725600257 4353576961 26121412609 156728377345 940370067457
(if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * (2 + 1)) else 1)
A040341: 18 1 36 1 36 1 36 1 36 1 36 1 36 1 36 1
(if x <= 0 then 2 else (if ((2 - x) + 2) <= 0 then (((2 + 1) * 2) * (2 + 1)) else 1))
A067095: 2 1 1 1 18 18 18 18 18 18 18 18 18 18 18 18
(if x <= 0 then 1 else (((loop(\(x,i).((x * 2) * 2),x,1) - 2) * (2 + 1)) - 1))
A271017: 1 5 41 185 761 3065 12281 49145 196601 786425 3145721 12582905 50331641 201326585 805306361 3221225465
(if (x mod 2) <= 0 then ((((2 + 2) * 2) * (if x <= 0 then 1 else 2)) * (2 + 1)) else 1)
A040599: 24 1 48 1 48 1 48 1 48 1 48 1 48 1 48 1
(((x - loop(\(x,i).(x - (if x <= 0 then (2 - i) else 1)),x,2)) div (2 + 1)) + 1)
A007305: 0 1 1 1 2 1 2 3 3 1 2 3 3 4 5 5
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),((x * 2) div (2 + 1)),1))
A215795: 0 1 2 4 12
A291779: 0 1 2 4 12 24 48 112 224 448 960 1920 3840 7936 15872 31744
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * 2) mod (2 + 1)) - 1)
A144473: ~1 ~1 1 ~1 1 0 ~1 1 0 ~1 ~1 1 0 ~1 1 ~1
((loop(\(x,i).((if (i - 1) <= 0 then 2 else (x * x)) * x),x,2) * (2 + 1)) + 1)
A181492: 7 13 193 786433
((loop(\(x,i).((if (i - 1) <= 0 then 2 else (x * x)) * x),x,2) * (2 + 1)) - 1)
A181491: 5 11 191 786431
(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) * (2 + 1)),x,(2 + 1)) + 1)
A126644: 4 16 58 196 634 1996 6178 18916 57514 174076 525298 1582036 4758394 14299756 42948418 128943556
(if (x - 2) <= 0 then 1 else ((if ((x mod (2 + 2)) - 2) <= 0 then x else (2 + 1)) + 1))
A334501: 1 1 1 4 5 6 7 4 9 10 11 4 13 14 15 4
(if ((if x <= 0 then 2 else ((x + 1) div 2)) mod (2 + 1)) <= 0 then (x div (2 + 1)) else 1)
A213919: 1 1 1 1 1 1 2 1 1 1 1 3 4 1 1 1
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(0 - x),x,((x mod (2 + 1)) - 1)))
A130755: 3 4 7 15 32 65 129 256 511 1023 2048 4097 8193 16384 32767 65535
((loop(\(x,i).(x - (if (i - x) <= 0 then (i + 1) else 0)),x,x) div (2 + 1)) + 1)
A118198: 1 0 1 1 0 1 1 1 0 1 1 1 2 0 1 1
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 1)),x,x) + x) * (2 + 1)) + 1)
A131432: 1 4 7 7 10 13 10 13 16 19 13 16 19 22 25 16
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * x) * x),x,(2 + 1))) + 1)
A129291: 7 703 387400807 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x + 1) * x),2,2) + 1) * x),((x * 2) + 1),1)
A155477: 43 79507 147008443 271818611107 502592611936843 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(x * 2),((x * 2) - 1),1))
A233196: 1 3 36 528 8256 131328 2098176 33558528 536887296 8590000128 137439215616 2199024304128 35184376283136 562949970198528 9007199321849856 144115188344291328
(if (2 - x) <= 0 then ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else (x mod 2)) + 1) else 1)
A082067-A082061: 1 1 1 2 1 2 1 2 3 2 1 2 1 2 1 2
(loop(\(x,i).loop(\(x,i).((((i + 1) mod (2 + 2)) + x) * 2),x,1),x,1) + 1)
A128466: 2 7 311 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + 1)
A020517: 3 73 4161 262657 16781313 1073774593 68719738881 4398048608257 281474993487873 18014398643699713 1152921505680588801 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A074506: 3 8 26 92 338 1268 4826 18572 72098 281828 1107626 4371452 17308658 68703188 273218426 1088090732
(loop(\(x,i).(x * x),(x * 2),2) div (loop(\(x,i).((x * 2) * 2),x,1) + 1))
A116213: 1 3 3855 4611686018427387903
loop(\(x,i).(x * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1))
A033934: 4 121 10201 1002001 100020001 10000200001 1000002000001 100000020000001 10000000200000001 1000000002000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1))
A168576: 16 14641 104060401 1004006004001 10004000600040001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A059988: 0 81 9801 998001 99980001 9999800001 999998000001 99999980000001 9999999800000001 999999998000000001 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A272067: 0 6561 96059601 996005996001 9996000599960001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) + loop(\(x,i).(x * 2),x,1)) + 1)
A066280: 5 12 32 90 260 762 2252 6690 19940 59562 178172 533490 1598420 4791162 14365292 43079490
((loop(\(x,i).((2 + 1) * x),(x * 2),1) + loop(\(x,i).(x * 2),x,1)) + 1)
A074505: 3 12 86 738 6578 59082 531506 4783098 43046978 387421002 3486785426 31381061658 282429540578 2541865836522 22876792471346 205891132127418
(loop(\(x,i).(((x + 1) * x) + (x div 2)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A343176: 3 8 23 77 281 1073 4193 16577 65921 262913 1050113 4197377 16783361 67121153 268460033 1073790977
(loop(\(x,i).((((x + 2) + 2) + 2) * x),1,loop(\(x,i).(x * 2),x,1)) + 1)
A188129: 8 17 41 113 353 1217 4481 17153 67073 265217 1054721 4206593 16801793 67158017 268533761 1073938433
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + 1)
A074501: 3 8 30 134 642 3158 15690 78254 390882 1953638 9766650 48830174 244144722 1220711318 6103532010 30517610894
((loop(\(x,i).((2 + 1) * x),x,1) + 1) * (loop(\(x,i).(x * 2),x,1) + 1))
A034488: 4 12 50 252 1394 8052 47450 282252 1686434 10097892 60526250 362976252 2177317874 13062296532 78368963450 470199366252
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(if x <= 0 then 0 else (x + 1)),1)
A199979: 1 111 1111 11111 111111 1111111 11111111 111111111 1111111111 11111111111 111111111111 1111111111111 11111111111111 111111111111111 1111111111111111 11111111111111111
(((if (x mod 2) <= 0 then loop(\(x,i).(i * x),x,1) else (2 + 1)) mod (x + 1)) + 1)
A135681: 1 2 3 4 5 4 7 4 1 4 11 4 13 4 1 4
(x mod loop(\(x,i).i,(loop(\(x,i).((x * 2) * 2),(x div 2),1) mod (x + 1)),1))
A333791-A323135: 0 0 0 0 0 1 0 0 0 3 0 3 0 5 2 0
loop(\(x,i).(x div 2),(x * 2),loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1))
A241203: 5 6 7 9 12 15 19 23 29 37 46 58 72 90 113 142
loop(\(x,i).((loop(\(x,i).(i * x),x,1) + (x div (2 + 1))) + 1),(x - 1),1)
A075849: 1 1 2 3 8 40323
loop(\(x,i).((loop(\(x,i).(i * x),(i - 1),1) + x) * (i + 1)),(x - 1),1)
A125062: 1 1 4 15 68 370 2364 17388 144864 1349136 13894560 156831840 1925527680 25550778240 364416917760 5559659078400
loop(\(x,i).(((x - (if (i mod 2) <= 0 then 2 else (0 - 2))) - 1) * 2),(x - 1),1)
A173197: 1 1 4 2 6 6 14 22 46 86 174 342 686 1366 2734 5462
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).(((x * 2) - 1) * 2),(x - 1),1))
A103334: 1 1 4 24 176 1376 10944 87424 699136 5592576 44739584 357914624 2863312896 22906494976 183251943424 1466015514624
(x - (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,(x - 1)) + 1))
A330241: 0 1 0 1 1 2 1 2 1 2 3 4 1 2 1 2
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(x - 1)) + 1)
A237664: 0 1 7 41 211 1009 4621 20593 90091 388961 1662805 7054321 29745717 124807201 521515801 2171645281
(((loop(\(x,i).(x * 2),x,2) + 2) + loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A254028: 6 10 20 46 116 310 860 2446 7076 20710 61100 181246 539636 1610710 4815740 14414446
loop(\(x,i).(((x * 2) - 1) * x),1,(loop(\(x,i).((2 + 1) * x),x,1) + 1))
A169723: 6 28 190 1540 13366 118828 1065070 9572500 86113126 774900028 6973745950 62762650660 564860667286 5083736439628 45753599258830 411782307236020
(loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1) - 1)
A124089: 0 6 27 83 209 461 923 1715 3002 5004 8007 12375 18563 27131 38759 54263
(loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) - 1)
A165618: 0 8 44 164 494 1286 3002 6434 12869 24309 43757 75581 125969 203489 319769 490313
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((i * i) * (i * x)),x,1)) + 1)
A260076: 3 3 73 46873 191116801 2985985728001 139314069877248001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(((((i mod 2) * 2) + i) * i) + x),i,x),x,1) - 1)
A286444: 0 3 10 32 70 143 252 424 660 995 1430 2008 2730 3647 4760 6128
(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,((i * i) * i)) + x),x,1) - 1)
A343808: 0 3 75 804 5988 36363 193827 943968 4303200 18652107 77701107 313483764 1231813812 4734541443 17859008379 66286569504
(if ((2 - x) mod (2 + 1)) <= 0 then ((if (x mod (2 + 2)) <= 0 then 2 else 0) + 2) else 1)
A318666-A301391: 1 1 2 1 1 2 1 1 4 1 1 2 1 1 2 1
(((loop(\(x,i).((x * 2) * 2),x,1) - (if (x - 1) <= 0 then x else 0)) * 2) - 1)
A267938: 1 5 31 127 511 2047 8191 32767 131071 524287 2097151 8388607 33554431 134217727 536870911 2147483647
loop(\(x,i).(0 - x),x,((loop(\(x,i).(((i + x) - 1) * i),x,0) div 2) + 1))
A009132: 1 ~1 2 ~7 31 ~161 976 ~6847 54797 ~493201 4932046 ~54252551 651030667 ~8463398737 118487582396 ~1777313736031
(((if x <= 0 then 2 else loop(\(x,i).(((x + 2) * x) * 2),(x - 1),1)) * 2) + 1)
A178497: 5 3 13 193 37633 1416317953 2005956546822746113 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then (((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) + 1) * 2) else 1)
A214079: 1 1 2 2 2 2 2 2 2 6 6 6 6 6 6 6
(if x <= 0 then 0 else (if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 2 else 1))
A296081: 0 1 1 2 1 1 1 1 2 1 1 1 1 1 1 2
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (((2 + 1) * 2) + 1))
A040185: 14 7 28 7 28 7 28 7 28 7 28 7 28 7 28 7
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(x mod ((2 + 1) * 2)),1))
A222011: 1 2 4 8
A138814: 1 2 4 8 16 32 127 254 508 1016 2032 4064
(if x <= 0 then 0 else (if (x mod (((2 + 2) * 2) - (x div (2 + 1)))) <= 0 then 2 else 1))
A276172: 0 1 1 1 1 1 2 1 1 1 2 1 2 1 1 2
loop(\(x,i).(x * x),1,((loop(\(x,i).((i + 2) * x),(x + 2),1) div 2) - 1))
A181892: 25 841 32041 1585081 101586241 8229936961 823010025601 99584412681601 14340158060659201 2423486749613529601 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),2,loop(\(x,i).((x * x) * 2),((x * 2) - 1),2)) - 1)
A139297: 15 4095 1152921504606846975
(loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),((x mod 2) + 1),2) - 1)
A076154: 4095 4611686018427387903 4095 4611686018427387903 4095 4611686018427387903 4095
((loop(\(x,i).(loop(\(x,i).(i * x),(x - 2),(2 + 1)) + 1),x,1) div 2) + 1)
A082213: 1 3 4 181 4611686018427387903
((loop(\(x,i).((x * 2) + 1),x,((2 div (if x <= 0 then 1 else x)) + 1)) * 2) + 1)
A336819: 7 15 23 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071
loop(\(x,i).(x * 2),(x - 1),((loop(\(x,i).((x + 2) * 2),x,1) div 2) + 1))
A084213: 1 4 18 76 312 1264 5088 20416 81792 327424 1310208 5241856 20969472 83881984 335536128 1342160896
(if (x - 1) <= 0 then x else (if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then 2 else 1))
A304886: 0 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1
loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x + 2),(((x + 1) * 2) + 1))
A145737: 1 5 7 1 11 13 1 17 19 1 23 1 1 29 31 1
(loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,((x + 1) div 2)) + 1)
A206915: 1 2 2 3 3 4 4 5 5 6 6 6 6 6 6 7
(loop(\(x,i).(i * x),x,1) div loop(\(x,i).((i + 1) * x),((x + 1) div 2),1))
A262034: 1 0 1 1 4 5 30 42 336 504 5040 7920 95040 154440 2162160 3603600
loop(\(x,i).(i * x),x,(loop(\(x,i).(x * 2),(x div 2),((x + 1) mod 2)) + 1))
A052636: 2 1 6 6 120 120 6480 5040 685440 362880 119750400 39916800 31135104000 6227020800 11245999564800 1307674368000
(if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040181: 13 1 26 1 26 1 26 1 26 1 26 1 26 1 26 1
(if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040131: 11 1 22 1 22 1 22 1 22 1 22 1 22 1 22 1
(if (x mod 2) <= 0 then (((((2 + 2) * 2) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040305: 17 1 34 1 34 1 34 1 34 1 34 1 34 1 34 1
(if (x mod 2) <= 0 then (((((2 + 1) * 2) + 1) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040209: 14 1 28 1 28 1 28 1 28 1 28 1 28 1 28 1
(if (x mod ((2 + 2) + 1)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1)
A010152: 8 1 1 1 1 16 1 1 1 1 16 1 1 1 1 16
((loop(\(x,i).(loop(\(x,i).(x * x),1,((i div 2) + 2)) + x),x,1) * 2) + 1)
A272000: 3 11 29 47 79 111 161 211 283 355 453 551 679 807 969 1131
(((if x <= 0 then 0 else ((if (((x div 2) - 2) - 2) <= 0 then 2 else 0) * 2)) * 2) + 1)
A269351: 1 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1
((((x - loop(\(x,i).(if x <= 0 then i else (x - (2 + 1))),x,0)) div 2) div 2) + 1)
A194066: 1 1 2 1 2 1 2 3 1 2 3 4 1 2 3 4
loop(\(x,i).((0 - x) * (2 + 1)),(x - 1),(((if x <= 0 then 0 else 2) * 2) + 1))
A084244: 1 5 ~15 45 ~135 405 ~1215 3645 ~10935 32805 ~98415 295245 ~885735 2657205 ~7971615 23914845
(((loop(\(x,i).(x * 2),x,((if (x - 2) <= 0 then 2 else 0) + 1)) div 2) div 2) + 1)
A240277: 1 2 4 3 5 9 17 33 65 129 257 513 1025 2049 4097 8193
loop(\(x,i).(x + 2),(2 - x),(if ((x + 2) mod ((2 + 1) * 2)) <= 0 then 2 else 1))
A174965: 5 3 1 1 2 1 1 1 1 1 2 1 1 1 1 1
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).((x + 2) * (x + 1)),2,2) - 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036154: 1 2 4 8 16 32 64 128 75 150 119 57 114 47 94 7
((if x <= 0 then 1 else ((if (x - 1) <= 0 then (x + 2) else ((x + 1) mod 2)) * 2)) + 1)
A200439: 2 7 3 1 3 1 3 1 3 1 3 1 3 1 3 1
loop(\(x,i).(i * x),x,(if ((x + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 1))
A052699: 1 1 2 6 24 240 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (((2 + 2) * 2) + 1))
A040309: 18 9 36 9 36 9 36 9 36 9 36 9 36 9 36 9
(loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (0 - 2))) mod (((2 + 2) * 2) + 1))
A154529: 1 5 1 2 4 8 7 5 1 2 4 8 7 5 1 2
loop(\(x,i).(x * x),1,((((if (x - 2) <= 0 then x else (x + 2)) + 2) * 2) - 1))
A112629: 9 25 49 169 225
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).((i + x) * (x + 2)),2,2) + 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036157: 1 2 4 8 16 32 64 128 59 118 39 78 156 115 33 66
(((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(x div 2),2)) * 2) + 1)
A276918: 1 5 9 25 49 113 225 481 961 1985 3969 8065 16129 32513 65025 130561
loop(\(x,i).(i * x),((if x <= 0 then 1 else (((x * 2) - (x mod 2)) * 2)) * 2),1)
A045510: 2 24 20922789888000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).((x * x) * 2),2,2) - 1))
A036143: 1 3 9 27 81 116 94 28 84 125 121 109 73 92 22 66
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).(((x * 2) * 2) + 1),(2 + 2),1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A230579: 1 2 4 8 16 32 64 128 256 171 1 2 4 8 16 32
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).((x - 1) * x),2,(2 + 2)) - 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036144: 1 2 4 8 16 32 64 128 125 119 107 83 35 70 9 18
(loop(\(x,i).(((2 + 1) * x) + 1),x,0) div (if (x mod 2) <= 0 then (2 + 2) else 1))
A152298: 0 1 1 13 10 121 91 1093 820 9841 7381 88573 66430 797161 597871 7174453
((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * (if (x mod 2) <= 0 then (2 + 2) else 1))
A040555: 24 12 48 12 48 12 48 12 48 12 48 12 48 12 48 12
((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * (if (x mod 2) <= 0 then (2 + 2) else 1))
A040383: 20 10 40 10 40 10 40 10 40 10 40 10 40 10 40 10
loop(\(x,i).((x * 2) * (2 + 1)),(x div 2),(if (x mod 2) <= 0 then (2 + 2) else 1))
A166027: 4 1 24 6 144 36 864 216 5184 1296 31104 7776 186624 46656 1119744 279936
((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * ((2 + 2) + 1))
A040215: 15 5 30 5 30 5 30 5 30 5 30 5 30 5 30 5
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * ((2 + 2) + 1))
A040387: 20 5 40 5 40 5 40 5 40 5 40 5 40 5 40 5
(loop(\(x,i).(x * x),2,(loop(\(x,i).(x * 2),x,2) - 1)) * ((2 + 2) + 1))
A128866: 5 405 12005 253125 4617605 78764805 1300723205 21141253125 340920883205 5476114739205 87789257318405 1406000997253125 22507005033676805 360200017312153605 4611686018427387903
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).((x * x) * x),1,((2 + 2) + 1)))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A201920: 1 2 4 8 16 32 64 3 6 12 24 48 96 67 9 18
(loop(\(x,i).((if (2 - x) <= 0 then x else 2) + x),x,(1 - x)) * ((2 + 2) + 1))
A070004: 5 10 15 20 30 40 60 80 120 160 240 320 480 640 960 1280
(if x <= 0 then 1 else loop(\(x,i).(((x div 2) + (x * 2)) * 2),x,((2 + 2) + 1)))
A235702: 1 24 120 600 3000 15000 75000 375000 1875000 9375000 46875000 234375000 1171875000 5859375000 29296875000 146484375000
loop(\(x,i).loop(\(x,i).(x * x),(2 + 1),((x * x) * x)),x,((2 + 2) + 1))
A067483: 5 59604644775390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,((2 + 2) + 1))
A154286: 5 25 75 175 350 630 1050 1650 2475 3575 5005 6825 9100 11900 15300 19380
(loop(\(x,i).loop(\(x,i).(x * x),1,((x * x) * (x div 2))),x,(2 + 2)) - 1)
A139301: 3 1023 288230376151711743
loop(\(x,i).(x * 2),x,loop(\(x,i).i,((x * 2) - ((x * x) div (2 + 2))),1))
A005104: 1 4 12 32 64 128 192 256 256
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(x * x),(x * x),(2 + 2)) - 1))
A195374: 27 3375 4611686018427387903
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).(((x * 2) + 1) * x),2,2) + 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036159: 1 2 4 8 16 32 64 128 45 90 180 149 87 174 137 63
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A036126: 1 3 9 27 38 28 41 37 25 32 10 30 4 12 36 22
((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) * 2),x,2) * 2) + 1)
A126645: 5 21 77 261 845 2661 8237 25221 76685 232101 700397 2109381 6344525 19066341 57264557 171924741
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).((x + 2) * x),2,2) - 1))
A036134: 1 3 9 27 2 6 18 54 4 12 36 29 8 24 72 58
((loop(\(x,i).loop(\(x,i).((x * x) * x),1,((x * x) * 2)),x,2) div 2) - 1)
A139305: 0 255 72057594037927935 4611686018427387903
((loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),2,(x + 2)) div 2) + 1)
A330747: 1 2 1 3 1 4 1 5 2 6 1 7 1 8 3 9
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).((x + 2) * (x + 2)),2,1))
A120353: 121 1089 9801 88209 793881 7144929 64304361 578739249 5208653241 46877879169 421900912521 3797108212689 34173973914201 307565765227809 2768091887050281 24912826983452529
loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(((x + 2) * 2) + 1))
A107257: 5 7 11 11 13 17 17 19 23 23 29 29 29 31 37 37
(loop(\(x,i).(((x * x) * (2 + 2)) * 2),(if x <= 0 then 1 else (x * 2)),2) - 1)
A139295: 31 8191 2305843009213693951 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x + 1) * 2),(x * 2),2)) - 1)
A020541: 5 209 3905 64769 1045505 16764929 268386305 4294770689 68718690305 1099508482049 17592173461505 281474926379009 4503599426043905 72057593232621569 1152921501385621505 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) * 2) + 1))
A016822: 1 9765625 3486784401 137858491849 2015993900449 16679880978201 95367431640625 420707233300201 1531578985264449 4808584372417849 13422659310152401 34050628916015625 79792266297612001 174887470365513049 362033331456891249 713342911662882601
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) * 2) + 1))
A016824: 1 244140625 282429536481 23298085122481 582622237229761 7355827511386641 59604644775390625 353814783205469041 1667889514952984961 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * x),(x - 1),2) + loop(\(x,i).(x * x),x,2)) div 2) - 1)
A110817: 1 2 9 135 32895 2147516415
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).(((x * x) + i) * x),2,2) - 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A101440: 1 2 4 8 16 32 64 128 256 512 5 10 20 40 80 160
(if x <= 0 then 1 else ((1 - (x - loop(\(x,i).((i + x) * 2),x,0))) * (2 + 1)))
A321257: 1 6 21 60 147 330 705 1464 2991 6054 12189 24468 49035 98178 196473 393072
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * (2 + 1))
A040317: 18 3 36 3 36 3 36 3 36 3 36 3 36 3 36 3
(if (x - 2) <= 0 then 1 else ((x - (if (x - (2 + 1)) <= 0 then 2 else 1)) * (2 + 1)))
A089425: 1 1 1 3 9 12 15 18 21 24 27 30 33 36 39 42
((if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1))
A040219: 15 3 30 3 30 3 30 3 30 3 30 3 30 3 30 3
((if (x mod 2) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1))
A040567: 24 3 48 3 48 3 48 3 48 3 48 3 48 3 48 3
(loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).(x * x),2,(2 + 1)) * (2 + 1)))
A220089: ~242 ~241 ~239 ~235 ~227 ~211 ~179 ~115 13 269 781 1805 3853 7949 16141 32525
loop(\(x,i).loop(\(x,i).(((2 + 1) * x) + 1),x,0),(x mod (2 + 1)),(2 + 1))
A271393: 3 13 797161
loop(\(x,i).(x * 2),(x div 2),((loop(\(x,i).(x * 2),x,2) + 1) div (2 + 1)))
A083333: 1 1 6 10 44 84 344 680 2736 5456 21856 43680 174784 349504 1398144 2796160
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * 2) + 1) div (2 + 1))
A141169: 0 0 1 0 1 1 0 1 1 2 0 1 1 2 3 0
(loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) * (2 + 1))
A032125: 3 9 30 108 408 1584 6240 24768 98688 393984 1574400 6294528 25171968 100675584 402677760 1610661888
(loop(\(x,i).((x * 2) - 1),(x - 1),loop(\(x,i).(x * 2),x,1)) * (2 + 1))
A032098: 3 6 21 87 363 1491 6051 24387 97923 392451 1571331 6288387 25159683 100651011 402628611 1610563587
loop(\(x,i).(((x * x) + 1) div 2),1,(loop(\(x,i).(x * 2),x,1) div (2 + 1)))
A241892: 0 0 1 2 13 50 221 882 3613 14450 58141 232562 931613 3726450 14911261 59645042
(((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * 2) * (2 + 1))
A040311: 18 6 36 6 36 6 36 6 36 6 36 6 36 6 36 6
(((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * 2) * (2 + 1))
A040559: 24 6 48 6 48 6 48 6 48 6 48 6 48 6 48 6
((((if (x mod 2) <= 0 then (2 + 2) else 0) + 1) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040214: 15 6 30 6 30 6 30 6 30 6 30 6 30 6 30 6
(((if (((2 + 2) + 1) mod (if x <= 0 then 1 else x)) <= 0 then 1 else 2) * 2) * (2 + 1))
A055665: 6 6 12 12 12 6 12 12 12 12 12 12 12 12 12 12
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).((x * x) + (2 + 2)),2,(2 + 1)))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036152: 1 2 4 8 16 32 64 128 83 166 159 145 117 61 122 71
loop(\(x,i).(((x * 2) * 2) * 2),x,((if x <= 0 then 1 else (2 + 2)) * (2 + 1)))
A094085: 3 96 768 6144 49152 393216 3145728 25165824 201326592 1610612736 12884901888 103079215104 824633720832 6597069766656 52776558133248 422212465065984
loop(\(x,i).((x div 2) * x),1,(loop(\(x,i).(x * 2),x,(2 + 2)) div (2 + 1)))
A337348: 0 2 10 50 210 882 3570 14450 57970 232562 930930 3726450 14908530 59645042 238591090 954408050
((if (x - 2) <= 0 then 2 else (if (x mod 2) <= 0 then x else ((x - 2) * 2))) * (2 + 1))
A092937: 6 6 6 6 12 18 18 30
(if x <= 0 then 2 else (if x <= 0 then 1 else (((0 - x) mod ((x div 2) + 2)) * (2 + 1))))
A190146: 2 3 3 0 0 9
(if x <= 0 then 1 else (((if (x mod 2) <= 0 then x else 0) + ((x div 2) mod 2)) div (2 + 1)))
A035457: 1 0 1 0 1 0 2 0 2 0 3 0 4 0 5 0
((loop(\(x,i).((if (i - 1) <= 0 then 2 else (x * x)) * x),x,2) div 2) * (2 + 1))
A092680: 3 6 96 393216
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i - x),x,2)) div 2) div (2 + 1))
A008799: 1 0 2 0 3 0 5 1 7 2 9 3 12 5 15 7
(((x - (loop(\(x,i).((if x <= 0 then i else x) - 1),x,0) - x)) * 2) div (2 + 1))
A307485: 0 1 2 4 3 5 7 9 6 8 10 12 14 16 18 20
(loop(\(x,i).(x * x),1,loop(\(x,i).((x - 1) * (2 + 1)),x,2)) div (2 + 1))
A238630: 1 3 12 75 588 5043 44652 399675 3590508 32294883 290594892 2615176875 23536060428 211822949523 1906401762732 17157601515675
((if x <= 0 then 0 else (1 - ((if (x mod 2) <= 0 then x else (1 - x)) * 2))) * (2 + 1))
A228935: 0 3 ~9 15 ~21 27 ~33 39 ~45 51 ~57 63 ~69 75 ~81 87
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x + 1) * 2),x,2)) div (2 + 1))
A203241: 2 14 70 310 1302 5334 21590 86870 348502 1396054 5588310 22361430 89462102 357881174 1431590230 5726491990
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((x * 2) * (2 + 1)))
A016918: 0 60466176 61917364224 3570467226624 63403380965376 590490000000000 3656158440062976 17080198121677824 64925062108545024 210832519264920576 604661760000000000 1568336880910795776 3743906242624487424
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((x * 2) * (2 + 1)))
A016920: 0 2176782336 8916100448256 1156831381426176 36520347436056576 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) * (2 + 1)))
A061776: 1 3 6 12 18 30 42 66 90 138 186 282 378 570 762 1146
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) + 1)),x,(2 + 1))
A033478: 3 10 5 16 8 4 2 1 4 2 1 4 2 1 4 2
(loop(\(x,i).loop(\(x,i).(((x - 1) * x) div 2),i,(x + 2)),2,x) div (2 + 1))
A337957: 1 15 126 715 3060 10626 31465 82251 194580 424270 864501 1663740 3049501 5359095 9078630 14891626
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) * (2 + 2)) + x) * 2),x,(2 + 1))
A344564: 3 30 180 840 3360 12096 40320 126720 380160 1098240 3075072 8386560 22364160 58490880 150405120 381026304
(loop(\(x,i).((2 + 1) * x),(x + 2),1) - loop(\(x,i).(x * 2),x,(2 + 1)))
A169687: 6 21 69 219 681 2091 6369 19299 58281 175611 528369 1588179 4770681 14324331 42997569 129041859
loop(\(x,i).((((2 + 1) * x) + 2) * 2),2,loop(\(x,i).(x * 2),x,(2 + 1)))
A304606: 136 244 460 892 1756 3484 6940 13852 27676 55324 110620 221212 442396 884764 1769500 3538972
(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) - loop(\(x,i).(x * 2),x,(2 + 1)))
A166060: 1 6 24 84 276 876 2724 8364 25476 77196 233124 702444 2113476 6352716 19082724 57297324
loop(\(x,i).((x * x) * 2),(x - 2),loop(\(x,i).((x * x) div 2),x,(2 + 1)))
A154714: 3 4 8 2048
(((if x <= 0 then 1 else x) * 2) - (if (x mod (2 + 1)) <= 0 then 1 else (x div (2 + 1))))
A301728: 1 2 4 5 7 9 11 12 14 17 17 19 23 22 24 29
(if x <= 0 then 2 else (if ((x mod (2 + 1)) div 2) <= 0 then 1 else (x - (x div (2 + 1)))))
A003417: 2 1 2 1 1 4 1 1 6 1 1 8 1 1 10 1
((if (x mod 2) <= 0 then (if x <= 0 then 1 else 2) else (0 - 2)) * (1 - (x mod (2 + 1))))
A109265: 1 0 ~2 ~2 0 2 2 0 ~2 ~2 0 2 2 0 ~2 ~2
(2 - (loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((2 + 1) * x),x,(2 + 1))))
A304167: 4 9 25 75 229 699 2125 6435 19429 58539 176125 529395 1590229 4774779 14332525 43013955
loop(\(x,i).((x mod 2) * 2),(x - 2),loop(\(x,i).((2 + 1) * x),x,(2 + 1)))
A114181: 3 9 27 2 0 0 0 0 0
loop(\(x,i).((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x),x,(2 + 1))
A253943: 3 21 84 252 630 1386 2772 5148 9009 15015 24024 37128 55692 81396 116280 162792
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),(i + 1),x) + 1) * x),x,(2 + 1))
A003009: 3 147 1383123 489735485064147 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) - 1) * x),1,loop(\(x,i).((x * x) * x),x,(2 + 1)))
A111404: 24 19656 7625597465304 4611686018427387903 4611686018427387903
(if (x - 2) <= 0 then ((x div 2) + x) else loop(\(x,i).((x * x) * x),x,(2 + 1)))
A266199: 0 1 3 7625597484987
loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(2 + 1))
A253942: 3 18 63 168 378 756 1386 2376 3861 6006 9009 13104 18564 25704 34884 46512
(loop(\(x,i).(((x * 2) * 2) - loop(\(x,i).(1 - (x * 2)),i,0)),x,2) - 1)
A253068: 1 6 28 112 456 1816 7288 29112 116536 465976 1864248 7456312 29826616 119303736 477220408 1908870712
(loop(\(x,i).(x mod 2),(x mod 2),(if ((x mod (2 + 1)) - 1) <= 0 then x else 2)) + 1)
A267068: 1 2 3 2 5 1 7 2 3 2 11 1 13 2 3 2
((((loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) * (2 + 1)) + x) div 2) + 1)
A054429: 1 3 2 7 6 5 4 15 14 13 12 11 10 9 8 31
(((if x <= 0 then 1 else ((((if (x - 2) <= 0 then 1 else x) * 2) + 1) * x)) * 2) + 1)
A086208: 3 7 13 43 73
(loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) + 1),x,2) - 1)
A134762: 1 4 16 58 208 754 2770 10294 38608 145858 554266 2116294 8112466 31201798 120349798 465352558
loop(\(x,i).(x * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,2) + 1))
A225107: 3 24 228 2256 22512 225024 2250048 22500096 225000192 2250000384 22500000768 225000001536 2250000003072 22500000006144 225000000012288 2250000000024576
(loop(\(x,i).((loop(\(x,i).((x * x) - 2),i,(2 + 1)) * x) - 1),x,2) + 1)
A088334: 3 14 611 1346270 6557470319843 4611686018427387903 4611686018427387903
(x - (((loop(\(x,i).(if x <= 0 then (i * 2) else (x - 1)),x,1) - x) div 2) - 1))
A114651: 1 3 2 4 6 8 10 5 7 9 11 13 15 17 19 21
loop(\(x,i).(0 - x),(x div 2),((((if (x mod 2) <= 0 then x else 1) + x) * 2) + 1))
A141124: 1 5 ~9 ~9 17 13 ~25 ~17 33 21 ~41 ~25 49 29 ~57 ~33
loop(\(x,i).(i * x),(x + 1),loop(\(x,i).(i * x),(((x + 1) * x) div 2),1))
A127234: 1 2 36 17280 435456000 941525544960000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (loop(\(x,i).(x + 1),(((x div 2) - 2) - 2),x) * 2)) + 1)
A342008-A082664: 2 3 5 7 9 11 13 15 17 19 23 25 29 31 35 37
loop(\(x,i).((2 + 1) * x),(x * 2),(loop(\(x,i).((x * 2) * 2),x,2) - 1))
A094938: 1 63 2511 92583 3352671 120873303 4353033231 156723545223 5642176768191 203119525916343 7312313393341551 263243376303474663 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + 2) * x),(x div 2),1) div loop(\(x,i).(x * 2),x,2)) + 1)
A165045: 1 1 1 1 1 1 1 1 1 1 2 1 3 2 6 3
((loop(\(x,i).(((x * 2) + 1) * 2),x,2) - loop(\(x,i).(x * 2),x,2)) + 1)
A171477: 1 7 35 155 651 2667 10795 43435 174251 698027 2794155 11180715 44731051 178940587 715795115 2863245995
(loop(\(x,i).((x + 2) * (2 + 1)),x,0) * (loop(\(x,i).(x * 2),x,2) - 1))
A071539: 0 18 168 1170 7440 45738 277368 1672290 10056480 60404058 362613768 2176238610 13059075120 78359331978 470170537368 2821066664130
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) * (loop(\(x,i).(x * 2),x,2) - 1))
A160869: 1 12 91 600 3751 22932 138811 836400 5028751 30203052 181308931 1088123400 6529545751 39179682372 235085301451 1410533397600
loop(\(x,i).(((x * x) * x) * (x * x)),1,(loop(\(x,i).(x * 2),x,2) - 1))
A128833: 1 243 16807 759375 28629151 992436543 33038369407 1078203909375 34842114263551 1120413075641343 35940921946155007 1151514816750309375 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(loop(\(x,i).(x * 2),x,2) - 1))
A075921: 1 21 343 5145 74431 1058841 14941423 210003465 2945813311 41281739961 578226834703 8097153012585 113373983463391 1587332657497881 22223335428043183 311131443554114505
(loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 2 else 0) + x) + (x * 2)),x,2) + 1)
A263334: 3 7 19 57 169 505 1515 4543 13627 40881 122641 367921 1103763 3311287 9933859 29801577
(loop(\(x,i).loop(\(x,i).((x * 2) + 1),(x div 2),(2 - (x mod 2))),x,2) + 1)
A253855: 3 6 8 16 256
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((x * 2) * 2) + 1),(x + 2),1))
A166914: 21 340 5456 87360 1398016 22369280 357912576 5726617600 91625947136 1466015416320 23456247709696 375299967549440 6004799497568256 96076792028200960 1537228672719650816 4611686018427387903
(if x <= 0 then 1 else (if (((x + 2) div (2 + 1)) mod (2 + 2)) <= 0 then (x + 2) else 1))
A284372: 1 1 1 1 1 1 1 1 1 1 12 13 14 1 1 1
(if (x - 1) <= 0 then 1 else (if ((x + 2) mod ((x mod 2) + 2)) <= 0 then (x + 2) else 1))
A005451: 1 1 4 1 6 1 8 9 10 1 12 1 14 15 16 1
loop(\(x,i).(i * x),x,loop(\(x,i).((((i * 2) + 1) * x) * 2),(x + 2),1))
A138898: 60 840 30240 1995840 207567360 31135104000 6351561216000 1689515283456000 567677135241216000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(loop(\(x,i).(i * x),x,(x + 2)) * ((x + 2) + 1)))
A162992: 36 144 1600 32400 1016064 45158400 2687385600 205752960000 19670999040000 2294425328025600 320461058211840000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,((x + 2) + 1))
A006411: 3 20 75 210 490 1008 1890 3300 5445 8580 13013 19110 27300 38080 52020 69768
(2 - loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).((x - 1) div 2),(x - 2),1)))
A174316: 1 1 1 2 6 10 18 34 66 130 258 514 1026 2050 4098 8194
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,x) + 1),(x * 2),1)
A144863: 1 10101 101010101 1010101010101 10101010101010101 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(if (x mod ((i * 2) + 1)) <= 0 then 1 else x),(x + 1),(x * 2)) - 1)
A099893: 0 1 3 0 7 0 0 0 15 0 0 0 0 0 0 0
loop(\(x,i).(loop(\(x,i).((x div ((i * 2) - 1)) + x),x,i) + 1),(x * 2),1)
A099061: 1 7 19 39 63 91 133 181 223 289 349 399 481 567 649 763
loop(\(x,i).((if x <= 0 then 1 else x) - ((((2 + 2) + 1) * x) * 2)),(x * 2),1)
A172174: 1 91 8191 737191 66347191 5971247191 537412247191 48367102247191 4353039202247191 391773528202247191 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + (x * 2)),(x * 2),1)
A037595: 1 9 84 757 6813 61320 551881 4966929 44702364 402321277 3620891493 32588023440 293292210961 2639629898649 23756669087844 213810021790597
(loop(\(x,i).((x - 1) * x),x,loop(\(x,i).((x * x) * x),2,(x * 2))) + 1)
A066914: 1 261633 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((i * x) * 2),x,((x * 2) + 1)),1,((x * 2) + 1))
A003031: 6 336 42240 9676800 3530096640 1880240947200 1377317368627200 1328346084409344000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((x * 2) + 1))
A016763: 1 177147 48828125 1977326743 31381059609 285311670611 1792160394037 8649755859375 34271896307633 116490258898219 350277500542221 952809757913927 2384185791015625 5559060566555523 12200509765705829 25408476896404831
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,((x * 2) + 1))
A294486: 1 18 150 980 5670 30492 156156 772200 3719430 17551820 81477396 373173528 1690097500 7582037400 33738060600 149067936720
((loop(\(x,i).(x - (if x <= 0 then 2 else (i - 2))),x,x) + x) + ((x * 2) + 1))
A006187: 1 6 10 13 15 16 16 18
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,((x * 2) + 1))
A051880: 1 15 75 245 630 1386 2730 4950 8415 13585 21021 31395 45500 64260 88740 120156
loop(\(x,i).(((if (i - 2) <= 0 then 1 else x) * ((2 + 2) + 1)) + x),(x * 2),1)
A067406: 1 11 396 14256 513216 18475776 665127936 23944605696 862005805056 31032208982016 1117159523352576 40217742840692736 1447838742264938496 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((if (i - 2) <= 0 then 1 else x) * 2) * (2 + 1)) + x),(x * 2),1)
A067407: 1 13 637 31213 1529437 74942413 3672178237 179936733613 8816899947037 432028097404813 21169376772835837 1037299461868956013 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div ((2 + 2) + 1)),x,loop(\(x,i).((2 + 1) * x),(x * 2),1))
A094986: 1 1 3 5 10 18 34 61 110 198 357 642 1156 2082 3748 6746
(x - (loop(\(x,i).(x - (if x <= 0 then 0 else ((i * 2) + 1))),x,(x * 2)) - 1))
A278818: 1 3 7 6 5 11 10 9 17 16 15 14 13 23 22 21
loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (i mod 2)) - 1) * x),(x * 2),1)
A003923: 1 6 720 1451520 47377612800 24815256521932800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i - 2) <= 0 then 1 else x) * ((2 + 2) * 2)) + x),(x * 2),1)
A067409: 1 17 1377 111537 9034497 731794257 59275334817 4801302120177 388905471734337 31501343210481297 2551608800048985057 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),(x * 2),1)
A053135: 1 28 210 924 3003 8008 18564 38760 74613 134596 230230 376740 593775 906192 1344904 1947792
loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),(x * 2),1)
A053137: 1 45 495 3003 12870 43758 125970 319770 735471 1562275 3108105 5852925 10518300 18156204 30260340 48903492
loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),(x * 2),1)
A002299: 1 21 126 462 1287 3003 6188 11628 20349 33649 53130 80730 118755 169911 237336 324632
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,x) + 1),(x div 2),1)
A279053: 1 1 101 101 10101 10101 1010101 1010101 101010101 101010101 10101010101 10101010101 1010101010101 1010101010101 101010101010101 101010101010101
(loop(\(x,i).(i * x),x,1) div loop(\(x,i).((i * x) * (i + 1)),(x div 2),1))
A057977: 1 1 1 3 2 10 5 35 14 126 42 462 132 1716 429 6435
(if (x mod (2 + 1)) <= 0 then 1 else (loop(\(x,i).(x * 2),x,2) - ((x div 2) + 1)))
A094445: 1 3 6 1 29
loop(\(x,i).(if (x mod 2) <= 0 then x else (((2 + 2) * 2) + 1)),x,((x div 2) + 1))
A228584: 1 9 2 2 9 9 4 4 9 9 6 6 9 9 8 8
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((2 + 1) * x),(x div 2),1))
A120825: 1 5 15 51
A255442: 1 5 15 51 153 477 1431 4347 13041 39285 117855 354051 1062153 3187917 9563751 28695627
loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),(x div 2),1)
A299338: 1 1 7 7 28 28 84 84 210 210 462 462 924 924 1716 1716
loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),(x div 2),1)
A189980: 1 1 6 6 21 21 56 56 126 126 252 252 462 462 792 792
(loop(\(x,i).((i * x) * 2),x,1) div loop(\(x,i).((i * i) * x),(x div 2),1))
A253665: 1 2 8 48 96 960 1280 17920 17920 322560 258048 5677056 3784704 98402304 56229888 1686896640
((loop(\(x,i).((x div (if i <= 0 then 1 else i)) + (x + 2)),x,0) - (x mod 2)) + 1)
A054248: 1 2 6 8 13 16 21 24 30 34 40 44 50 54 60 64
(if (2 - (x div (2 + 2))) <= 0 then (if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) else 1)
A334947: 1 1 1 1 1 1 1 1 2 1 0 1 2 1 0 1
((loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then x else (2 - x)),2) - (x mod 2)) - 1)
A282414: 1 2 7 0 31 0 127 0 511 0 2047 0 8191 0 32767 0
(loop(\(x,i).(((if (2 - x) <= 0 then x else 2) + x) + 1),(x div 2),(x mod 2)) + 1)
A191535-A100598: 1 2 4 5 8 10
A094958: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320
(loop(\(x,i).(((if x <= 0 then 1 else 2) + 2) * (x + 1)),(x div 2),(x mod 2)) + 1)
A136326: 1 2 4 9 17 37 69 149 277 597 1109 2389 4437 9557 17749 38229
(loop(\(x,i).((if x <= 0 then 1 else ((x * 2) * 2)) + 2),(x div 2),(x mod 2)) + 1)
A136336: 1 2 4 7 15 27 59 107 235 427 939 1707 3755 6827 15019 27307
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x div 2),(x mod 2))) - 1)
A274638: 0 0 3 5 15 27 63 119 255 495 1023 2015 4095 8127 16383 32639
(loop(\(x,i).((((if x <= 0 then 2 else x) + 1) * 2) + x),(x div 2),(x mod 2)) + 1)
A072985: 1 2 7 6 21 18 63 54 189 162 567 486 1701 1458 5103 4374
((if x <= 0 then 1 else ((if (x mod (2 + 1)) <= 0 then 2 else 1) + 2)) div ((x mod 2) + 1))
A220128: 1 1 3 2 3 1 4 1 3 2 3 1 4 1 3 2
loop(\(x,i).((if (x - (2 + 1)) <= 0 then x else 0) + (x * 2)),x,((x mod 2) + 1))
A084431: 1 6 9 24 36 96 144 384 576 1536 2304 6144 9216 24576 36864 98304
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x div 2),((x mod 2) - 1)))
A052957: 2 2 6 8 20 32 72 128 272 512 1056 2048 4160 8192 16512 32768
(x - ((loop(\(x,i).(x - (if (i - x) <= 0 then (i * 2) else 0)),x,x) * 2) - 1))
A020703: 1 4 3 2 9 8 7 6 5 16 15 14 13 12 11 10
((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) * 2) + 1)
A073310-A060266: 1 1 1 3 1 1 3 1 1 3 1 5 3 1 1 5
loop(\(x,i).(((x div 2) + x) * x),1,(loop(\(x,i).((2 + 1) * x),x,2) + 1))
A169725: 12 70 532 4510 39772 355510 3192292 28708750 258313132 2324621350 20921001652 188287243390 1694579876092 15251202941590 137260778644612 1235346864312430
loop(\(x,i).((i div 2) + 2),(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2),1)
A020651: 1 1 2 1 3 2 3 1 4 3 4 2 5 3 5 1
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) * 2) + 1)
A191108: 1 5 13 17 37 41 49 53 109 113 121 125 145 149 157 161
((compr(\x.loop(\(x,i).(if (x mod (2 + 2)) <= 0 then x else (x div 2)),x,x),x) * 2) + 1)
A247648: 1 3 5 7 11 13 15 21 23 27 29 31 43 45 47 53
(if (x - 2) <= 0 then x else ((if (x mod ((2 + 2) * (2 + 1))) <= 0 then 0 else x) + 1))
A138083: 0 1 2 4 5 6
A004722: 0 1 2 4 5 6 7 8 9 10 11 12 1 14 15 16
loop(\(x,i).(i * x),(loop(\(x,i).((x * 2) + 1),(x - (2 + 1)),0) + x),1)
A060001: 1 1 2 6 120 40320 6227020800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (if (2 - x) <= 0 then 1 else 0)),x,1)
A283508-A267623: 1 10 101 1011 10111 101111 1011111 10111111 101111111 1011111111 10111111111 101111111111 1011111111111 10111111111111 101111111111111 1011111111111111
(if x <= 0 then 0 else ((if ((x - 1) mod (((2 + 2) + 1) * 2)) <= 0 then 0 else x) + 1))
A004721: 0 1 3 4 5 6 7 8 9 10 11 1 13 14 15 16
loop(\(x,i).((x * 2) - (if (x mod (2 + 2)) <= 0 then (x div (2 + 2)) else 0)),x,1)
A018254: 1 2 4 7 14 28
A018330: 1 2 4 7 14 28 49 98 196
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((i + x) + x),x,0)) + x) + 1)
A302761: 1 4 23 136 707 3312 14527 61264 252515 1027192 4147343 16674984 66887875 267960544 1072726271 4292804896
loop(\(x,i).(((x * 2) * 2) - (x div ((if (i mod 2) <= 0 then 2 else 0) + 1))),x,1)
A018413: 1 3 11 33 121 363
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) - (if (i - x) <= 0 then 0 else 1)),x,1)
A112126: 1 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12
loop(\(x,i).(0 - x),x,loop(\(x,i).(((x * 2) - (x mod (2 + 1))) + 1),x,1))
A078043: 1 ~2 3 ~7 14 ~27 55 ~110 219 ~439 878 ~1755 3511 ~7022 14043 ~28087
((loop(\(x,i).(x * x),1,(loop(\(x,i).(i * x),x,(2 + 1)) - 1)) * x) + 1)
A111340: 1 5 51 868
loop(\(x,i).(((x * 2) * 2) mod loop(\(x,i).((2 + 1) * x),(i + 1),1)),x,1)
A073533: 1 4 16 64 13 52 208 832 3328 13312 53248 212992 851968 3407872 13631488 11479231
(x - loop(\(x,i).(x * 2),loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),x),1))
A328882: ~1 ~1 ~2 ~5 ~12 ~27 ~58 ~121 ~248 ~503 8 7 4 ~3 ~18 ~49
loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + ((x * 2) * 2)) * 2) - 1),x,1)
A016203: 1 11 95 775 6231 49911 399415 3195575 25565111 204521911 1636177335 13089422775 104715390391 837723139511 6701785148855 53614281256375
loop(\(x,i).(x * 2),x,loop(\(x,i).(((((i * x) div 2) * 2) * 2) + 1),x,1))
A296660: 1 2 20 232 3728 74528 1788736 50084480 1602703616 57697329664 2307893187584 101547300251648 4874270412083200 253462061428318208 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),(i - 1),1) + x) * ((2 + 2) + 1)),x,1)
A083585: 1 10 60 320 1640 8280 41560 208120 1041240 5207480 26039960 130204920 651034840 3255194680 16276014360 81380153720
loop(\(x,i).((x * x) * (2 + 1)),1,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A060869: 3 75 1323 21675 348843 5589675 89467563 1431612075 22906317483 366503176875 5864059218603 93824981052075 1501199831050923 24019197833685675 384307167486454443 4611686018427387903
loop(\(x,i).(((x * 2) * 2) - 1),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A345963: 1 19 331 5419 87211 1397419 22366891 357903019 5726579371 91625794219 1466014804651 23456245263019 375299957762731 6004799458421419 96076791871613611 1537228672093301419
loop(\(x,i).((x * 2) * (2 + 1)),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A089507: 1 30 756 18360 441936 10614240 254788416 6115201920 146766525696 3522406694400 84537821131776 2028908069959680 48693795855814656 1168651113600245760 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) + 1) * 2),x,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A096047: 1 22 346 5482 87466 1398442 22370986 357919402 5726644906 91626056362 1466015853226 23456249457322 375299974539946 6004799525530282 96076792140049066 1537228673167043242
loop(\(x,i).((x * 2) * 2),(x * x),loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A088852: 1 20 5376 22282240 1464583847936 1536853372840181760 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) - 1)),x,1)
A016198: 1 8 47 250 1281 6468 32467 162590 813461 4068328 20343687 101722530 508620841 2543120588 12715635707 63578244070
loop(\(x,i).(i * x),x,loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,1))
A082491: 1 0 2 12 216 5280 190800 9344160 598066560 48443028480 4844306476800 586161043776000 84407190782745600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - loop(\(x,i).((1 - x) * 2),i,0)) * (2 + 1)),x,1)
A091054: 1 0 6 18 138 762 4698 27930 168090 1007514 6047130 36278682 217680282 1306065306 7836424602 47018482074
((if x <= 0 then 1 else (loop(\(x,i).((x * x) - 2),(2 + 1),(2 + 1)) * x)) - 1)
A004931: 0 2206 4413 6620 8827 11034 13241 15448 17655 19862 22069 24276 26483 28690 30897 33104
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2) * (2 + 1)),x,1)
A115903: 1 18 270 3780 51030 673596 8756748 112586760 1435481190 18182761740 229102797924 2874198737592 35927484219900 447711726432600 5564417171376600 68998772925069840
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,2) - ((x * 2) * (2 + 1))),x,1)
A083297: 1 2 20 8 464 ~736 12608 ~42880 388352 ~1805824 12932096 ~69203968 448778240 ~2558451712 15887581184 ~93178003456
loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016130: 1 9 67 477 3355 23517 164683 1152909 8070619 56494845 395464939 2768256621 19377800443 135644611293 949512295435 6646586100813
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) + x) + (x * 2)) * (2 + 1)),x,1)
A004991: 1 12 126 1260 12285 117936 1120392 10563696 99034650 924323400 8596207620 79710288840 737320171770 6806032354800 62712726697800 576957085619760
loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) * (2 + 1)),x,1)
A098658: 1 6 54 540 5670 61236 673596 7505784 84440070 956987460 10909657044 124965162504 1437099368796 16581915793800 191876454185400 2225766868550640
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),((2 + 1) * x),1)
A066802: 1 20 924 48620 2704156 155117520 9075135300 538257874440 32247603683100 1946939425648112 118264581564861424 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((2 + 1) * x) + 1))
A016786: 1 1048576 282475249 10000000000 137858491849 1099511627776 6131066257801 26559922791424 95367431640625 296196766695424 819628286980801 2064377754059776 4808584372417849 10485760000000000
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((2 + 1) * x) + 1))
A016788: 1 16777216 13841287201 1000000000000 23298085122481 281474976710656 2213314919066161 12855002631049216 59604644775390625 232218265089212416 787662783788549761 2386420683693101056 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x) * (2 + 1)),x,1)
A036217: 1 15 135 945 5670 30618 153090 721710 3247695 14073345 59108049 241805655 967222620 3794488740 14635885140 55616363532
loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) + x) * (2 + 1)),x,1)
A004988: 1 6 45 360 2970 24948 212058 1817640 15677145 135868590 1182056733 10316131488 90266150520 791564704560 6954461332920 61199259729696
loop(\(x,i).(x * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A002477: 1 121 12321 1234321 123454321 12345654321 1234567654321 123456787654321 12345678987654321 1234567900987654321 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),x,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A323416: 1 11 222 6666 266664 13333320 799999920 55999999440 4479999995520 403199999959680 40319999999596800 4435199999995564800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x div (if (i mod (2 + 1)) <= 0 then 1 else 2)) + x) * 2) + 1),x,1)
A018398: 1 3 9 37 111 333
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) + 1)
A053726: 5 8 11 13 14 17 18 20 23 25 26 28 29 32 33 35
(if x <= 0 then 1 else (((((x + 1) * x) div 2) + (if (x mod 2) <= 0 then 1 else x)) + 1))
A266663: 1 3 5 10 12 21 23 36 38 55 57 78 80 105 107 136
loop(\(x,i).((if (x mod 2) <= 0 then (x div 2) else (((2 + 2) + 1) * x)) + 1),x,1)
A082530: 1 6 4 3 16 9 46 24 13 66 34 18 10 6 4 3
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 2) + 1) * x) + 1)),x,1)
A328011: 1 6 3 16 8 4 2 1 6 3 16 8 4 2 1 6
loop(\(x,i).((2 + 1) * x),(x * x),loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A088671: 1 12 1053 787320 5208653241 308413053837252 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(x + 1),((loop(\(x,i).((i * x) + 1),x,1) * x) + 1))
A262601: 1 6 66 1176 31320 1174320 59184720 3866728320 318176449920 32215365100800 3937433507884800 571715345296972800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)) * x) + 1),x,1)
A330135: 1 10001 100010001 1000100010001 10001000100010001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((loop(\(x,i).(((x * x) * x) + 2),2,2) - 2) * x) + 1),x,1)
A261544: 1 1001 1001001 1001001001 1001001001001 1001001001001001 1001001001001001001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(i + 2),x) + 1),x,1)
A178191: 1 344 825945 13881657616 1633163136864785 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x + 1) * x),2,2) * x) + (2 div (x + 1))),x,1)
A170724-A170676-A170628-A170580-A170532-A170484-A170436-A170388-A170340-A170292-A170244-A170196-A170148-A170100-A170052-A170004-A169536-A169488-A169440-A169392-A169344-A169296-A169248-A169200-A169152-A169104-A169056-A169008-A168960-A168912-A168864-A168816-A168768-A168720-A167959-A167849-A167640-A167096-A166717: 1 43 1806 75852 3185784 133802928 5619722976 236028364992 9913191329664 416354035845888 17486869505527296 734448519232146432 4611686018427387903 4611686018427387903 4611686018427387903
A170762: 1 43 1806 75852 3185784 133802928 5619722976 236028364992 9913191329664 416354035845888 17486869505527296 734448519232146432 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).((i * i) * (x - 1)),x,1)))
A109132: 0 1 2 3 11 77
((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) + x) + 1)
A051743: 2 7 18 39 75 132 217 338 504 725 1012 1377 1833 2394 3075 3892
((loop(\(x,i).((i * x) * 2),x,1) - 1) div loop(\(x,i).((i * x) + 1),x,1))
A293339: 0 0 1 2 5 11 23 47 94 188 376 753 1506 3013 6027 12054
loop(\(x,i).(((((2 + 2) + 1) * i) * x) + loop(\(x,i).(x * 2),i,1)),x,1)
A097821: 1 7 74 1118 22376 559432 16783024 587405968 23496238976 1057330754432 52866537722624 2907659574746368 174459574484786176 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((if (x mod (i + 1)) <= 0 then 0 else i) + 1) * x) * (i + 1)),x,1)
A192217: 1 4 36 144 3600 21600 1058400 8467200 76204800 762048000 92207808000 1106493696000 186997434624000 2617964084736000 39269461271040000 628311380336640000
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,x) + (i + 1)),x,1)
A030512: 1 102 10203 1020304 102030405 10203040506 1020304050607 102030405060708 10203040506070809 1020304050607080910 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((x * 2) * (0 - 2)),x,1))
A090407: 1 6 136 2016 32896 523776 8390656 134209536 2147516416 34359607296 549756338176 8796090925056 140737496743936 2251799780130816 36028797153181696 576460751766552576
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).((x * 2) * (0 - 2)),x,1))
A090408: 1 36 496 8256 130816 2098176 33550336 536887296 8589869056 137439215616 2199022206976 35184376283136 562949936644096 9007199321849856 144115187807420416 2305843010287435776
(x div (if (x mod 2) <= 0 then (if (x mod (((2 + 1) * 2) + 1)) <= 0 then 2 else x) else 1))
A340086: 0 1 1 3 1 5 1 7 1 9 1 11 1 13 7 15
(((if x <= 0 then 0 else ((if (x - 2) <= 0 then x else ((2 + 2) + 1)) + 2)) + x) + 1)
A275645: 1 5 7 11 12 13 14 15 16 17 18 19 20 21 22 23
loop(\(x,i).((x * x) * x),1,(((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + 1))
A100571: 8 27 64 125 216 343 729 1000 1331 1728 2197 2744 3375 4096 4913 5832
loop(\(x,i).((x * 2) - 1),(x - 1),loop(\(x,i).(((x + 2) + 1) * 2),x,1))
A171479: 1 8 43 197 841 3473 14113 56897 228481 915713 3666433 14672897 58705921 234852353 939466753 3757981697
loop(\(x,i).((((2 + 2) + 1) * x) + 2),2,loop(\(x,i).((x + 1) * 2),x,1))
A304612: 37 112 262 562 1162 2362 4762 9562 19162 38362 76762 153562 307162 614362 1228762 2457562
(loop(\(x,i).((2 + 2) * (x + 1)),x,2) - loop(\(x,i).((x + 1) * 2),x,1))
A171478: 1 8 42 190 806 3318 13462 54230 217686 872278 3492182 13974870 55911766 223671638 894735702 3579041110
(loop(\(x,i).(((2 + 1) * x) + 2),x,2) - loop(\(x,i).((x + 1) * 2),x,1))
A168583: 1 4 16 58 196 634 1996 6178 18916 57514 174076 525298 1582036 4758394 14299756 42948418
(loop(\(x,i).(x - ((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2)),2,x) + 1)
A179278: 1 1 1 4 4 6 6 8 9 10 10 12 12 14 15 16
(if x <= 0 then 0 else (((loop(\(x,i).((x + 2) * (x + 2)),2,2) - 2) * x) - 1))
A004927: 0 321 643 965 1287 1609 1931 2253 2575 2897 3219 3541 3863 4185 4507 4829
(loop(\(x,i).(if x <= 0 then 1 else (((x div 2) * (x + 1)) mod (2 + 2))),2,x) + 1)
A186187: 1 2 1 2 4 2 1 2 2 2 1 2 4 2 1 2
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * ((2 + 2) * 2)),x,1)
A098430: 1 8 96 1280 17920 258048 3784704 56229888 843448320 12745441280 193730707456 2958796259328 45368209309696 697972450918400 10768717814169600 166556168859156480
loop(\(x,i).(x - ((loop(\(x,i).(x * 2),i,1) - ((x * 2) * 2)) * 2)),x,1)
A176818: 1 5 37 317 2821 25325 227797 2049917 18448741 166037645 1494336757 13449026717 121041232261 1089371073965 9804339632917 88239056630717
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else 0) + (((x * 2) * 2) * 2)),x,1)
A033144: 1 8 64 513 4104 32832 262657 2101256 16810048 134480385 1075843080 8606744640 68853957121 550831656968 4406653255744 35253226045953
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),x,1)
A016140: 1 11 97 803 6505 52283 418993 3354131 26839609 214736555 1717951489 13743789059 109950843913 879608345627 7036871547985 56294986732787
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else 2) + (((x * 2) * 2) * 2)),x,1)
A037549: 1 10 82 657 5258 42066 336529 2692234 21537874 172302993 1378423946 11027391570 88219132561 705753060490 5646024483922 45168195871377
loop(\(x,i).(x div ((2 + 2) + 1)),x,loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A094985: 1 1 2 4 6 10 16 26 42 68 109 175 281 450 720 1152
loop(\(x,i).(((((x * 2) div (if i <= 0 then 1 else i)) * 2) + x) * (2 + 2)),x,1)
A040075: 1 20 240 2240 17920 129024 860160 5406720 32440320 187432960 1049624576 5725224960 30534533120 159719096320 821412495360 4161823309824
loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1)
A038846: 1 16 160 1280 8960 57344 344064 1966080 10813440 57671680 299892736 1526726656 7633633280 37580963840 182536110080 876173328384
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((i * x) * (2 + 2))),x,1)
A274823: 1 7 65
A097819: 1 7 65 807 12993 260103 6243201 174811815 5593984641 201383466759 8055338729409 354434904271143 17012875405546305 884669521090002183 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)),x,1)
A216702: 1 12 168 2464 36960 561792 8614144 132903936 2060011008 32044615680 499896004608 7816555708416 122459372765184 1921670157238272 30197673899458560 475110069351481344
loop(\(x,i).((if (x mod 2) <= 0 then (x div (2 + 2)) else 0) + ((x * 2) * 2)),x,1)
A096881: 1 4 17 68 289 1156 4913 19652 83521 334084 1419857 5679428 24137569 96550276 410338673 1641354692
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),1) - ((x * 2) * 2)),x,1)
A166035: 1 ~3 15 ~51 231 ~843 3615 ~13731 57111 ~221883 907215 ~3569811 14456391 ~57294123 230770815 ~918300291
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),x,1)
A016208: 1 8 45 220 1001 4368 18565 77540 320001 1309528 5326685 21572460 87087001 350739488 1410132405 5662052980
loop(\(x,i).(loop(\(x,i).((i + x) + (x + 1)),i,1) + ((x * 2) * 2)),x,1)
A227209: 1 8 43 198 849 3516 14311 57746 231997 930024 3724179 14904894 59635945 238576532 954371647 3817617642
loop(\(x,i).(loop(\(x,i).((1 - x) - (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A249997: 1 2 15 40 221 702 3355 11780 52041 193402 817895 3138720 12953461 50618102 206059635 813476860
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) - ((x * 2) * 2)),x,1)
A053428: 1 1 21 41 461 1281 10501 36121 246141 968561 5891381 25262601 143090221 648342241 3510146661 16476991481
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + loop(\(x,i).((x * 2) * 2),x,1))
A074614: 2 13 97 793 6817 60073 535537 4799353 43112257 387682633 3487832977 31385253913 282446313697 2541932937193 22877060890417 205892205836473
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((x * 2) * 2),x,1))
A118004: 0 5 65 665 6305 58025 527345 4766585 42981185 387158345 3485735825 31376865305 282412759265 2541798719465 22876524019505 205890058352825
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).((x * 2) * 2),x,1))
A139729: 0 1 1 25 161 681 3057 15225 55105 233801 269201 3471385 1882337 50495465 186023729 63600825
loop(\(x,i).((((x * 2) * 2) - 1) * x),1,loop(\(x,i).((x * 2) * 2),x,1))
A115490: 3 60 1008 16320 261888 4193280 67104768 1073725440 17179803648 274877644800 4398045462528 70368739983360 1125899890065408 18014398442373120 288230375883276288 4611686017353646080
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1))
A074612: 2 10 52 280 1552 8800 50752 296320 1745152 10339840 61514752 366991360 2193559552 13127802880 78632599552 471258726400
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).((x * 2) * 2),x,1))
A248337: 0 2 20 152 1040 6752 42560 263552 1614080 9815552 59417600 358602752 2160005120 12993585152 78095728640 469111242752
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod loop(\(x,i).((x * 2) * 2),x,1))
A138611: 0 2 4 24 16 608 1600 1408 41216 116224 697344 2086912 12521472 41574400 249446400 959807488
(loop(\(x,i).((0 - x) * (2 + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1))
A087452: 2 1 25 37 337 781 4825 14197 72097 242461 1107625 4017157 17308657 65514541 273218425 1059392917
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1))
A074611: 2 9 41 189 881 4149 19721 94509 456161 2215269 10814201 53022429 260917841 1287811989 6371951081 31591319949
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1))
A005060: 0 1 9 61 369 2101 11529 61741 325089 1690981 8717049 44633821 227363409 1153594261 5835080169 29443836301
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).((x * 2) * 2),x,1))
A138589: 0 1 9 61 113 53 3337 12589 62945 118117 328441 2690781 9259601 12743573 197935593 452807053
(loop(\(x,i).((2 + 1) * x),x,(2 + 2)) + loop(\(x,i).((x * 2) * 2),x,1))
A147536: 5 16 52 172 580 1996 7012 25132 91780 340876 1284772 4902892 18902980 73486156 287567332 1131137452
(loop(\(x,i).((x * 2) * (2 + 1)),x,2) - loop(\(x,i).((x * 2) * 2),x,1))
A081626: 1 8 56 368 2336 14528 89216 543488 3293696 19893248 119883776 721399808 4336787456 26054279168 156459892736 939296227328
(loop(\(x,i).(((2 + 2) + 1) * x),x,2) - loop(\(x,i).((x * 2) * 2),x,1))
A085351: 1 6 34 186 994 5226 27154 139866 715714 3644106 18482674 93461946 471504034 2374297386 11938595794 59961414426
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + ((x * 2) * 2)),x,1)
A033141: 1 5 25 126 630 3150 15751 78755 393775 1968876 9844380 49221900 246109501 1230547505 6152737525 30763687626
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 2) + x) + ((x * 2) * 2)),x,1)
A037546: 1 7 37 186 932 4662 23311 116557 582787 2913936 14569682 72848412 364242061 1821210307 9106051537 45530257686
loop(\(x,i).((loop(\(x,i).((0 - x) * 2),i,2) + x) + ((x * 2) * 2)),x,1)
A320469: 1 1 13 49 277 1321 6733 33409 167557 836761 4185853 20925169 104634037 523153801 2615801773 13078943329
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),(i - 1),i) + ((x * 2) * 2)),x,1)
A327999: 1 5 28 160 896 4864 25600 131072 655360 3211264 15466496 73400320 343932928 1593835520 7314866176 33285996544
loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1)
A002802: 1 10 70 420 2310 12012 60060 291720 1385670 6466460 29745716 135207800 608435100 2714556600 12021607800 52895074320
(loop(\(x,i).(if (x mod 2) <= 0 then ((x + 1) * (2 + 1)) else (x div 2)),2,x) + 1)
A075884: 2 4 5 1 8 10 11 2 14 16 17 3 20 22 23 4
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,1))
A167762: 0 0 1 2 7 14 37 74 175 350 781 1562 3367 6734 14197 28394
(x - (loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then i else 0) + x),2,x) - 1))
A005590: 0 1 1 0 1 ~1 0 1 1 ~2 ~1 1 0 1 1 0
((((if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then 1 else x) * 2) + x) - 1)
A269357-A269355: 1 2 3 4 5 6 7 8 23 10 11 12 13 14 15 16
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A276352: 0 90 9900 999000 99990000 9999900000 999999000000 99999990000000 9999999900000000 999999999000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 2) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A134230: 3 120 10200 1002000 100020000 10000200000 1000002000000 100000020000000 10000000200000000 1000000002000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A094977: 1 3 11 37 123 411 1371 4572 15241 50805 169350 564502 1881676 6272254 20907515 69691719
(loop(\(x,i).loop(\(x,i).i,((x + 1) mod (((2 + 2) + 1) * 2)),x),2,x) - 1)
A138718: 1 2 3 4 5 6 7 8 8 8 1 2 3 4 5 6
loop(\(x,i).((((x div (if i <= 0 then 1 else i)) * ((2 + 2) * 2)) + x) * 2),x,1)
A140325: 1 18 180 1320 7920 41184 192192 823680 3294720 12446720 44808192 154791936 515973120 1666990080 5239111680 16066609152
((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) * 2),x,2) - x) - 1)
A094616: 1 8 35 126 417 1324 4111 12602 38333 116040 350187 1054678 3172249 9533156 28632263 85962354
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((x div 2) + x) * 2),x,1))
A080643: 0 2 10 46 202 862 3610 14926 61162 249022 1009210 4076206 16422922 66045982 265246810 1064175886
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2) - x) - 1)
A134759: 1 2 9 36 135 498 1841 6856 25731 97230 369501 1410852 5408299 20801186
loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1)
A135620: 1 2 8 32 512 2048 32768 131072 2097152 134217728 536870912 34359738368 549755813888 2199023255552 35184372088832 2251799813685248
((if x <= 0 then 2 else compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + 1)
A039915: 3 2 4 6 10 12 16 18 22 28 30 36 40 42 46 52
loop(\(x,i).((if (x mod (((i * x) mod 2) + 2)) <= 0 then 1 else 0) + (x * 2)),x,1)
A172411: 1 2 5 10
A266248: 1 2 5 10 21 43 86 173 346 693 1386 2773 5546 11093 22186 44373
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then ((x + 1) * i) else 0) + (x * 2)),x,1)
A018279: 1 2 4 23 46 92
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),((i + 1) div 2),1) + (x * 2)),x,1)
A167710: 1 5 13 35 79 185 397 875 1831 3905 8053 16835 34399 70985 144157 294875
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),((i * 2) - 2),1) + (x * 2)),x,1)
A109498: 1 3 15 111 951 8463 75975 683391 6149751 55346223 498112935 4483010271 40347080151 363123696783 3268113221895 29413018898751
loop(\(x,i).((((if (x - 1) <= 0 then 2 else 1) + x) * (2 + 1)) + (x * 2)),x,1)
A073720: 1 11 58 293 1468 7343 36718 183593 917968 4589843 22949218 114746093 573730468 2868652343 14343261718 71716308593
(loop(\(x,i).(((0 - x) - 2) * 2),x,1) * loop(\(x,i).(1 - (x * 2)),x,1))
A255471: 1 6 24 100 396 1596 6364 25500 101916 407836 1631004 6524700 26097436 104392476 417564444 1670268700
loop(\(x,i).(loop(\(x,i).(((i + x) + (x * 2)) + 1),i,1) + (x * 2)),x,1)
A249999: 1 7 32 122 423 1389 4414 13744 42245 128771 390396 1179366 3554467 10696153 32153978 96592988
loop(\(x,i).(loop(\(x,i).((((2 + 1) * i) + x) * 2),i,1) + (x * 2)),x,1)
A271638: 1 10 48 170 512 1398 3580 8770 20808 48206 109652 245850 544864 1196134 2605164 5636210
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1) - (x * 2)),x,1)
A053573: 1 5 39 265 1871 13065 91519 640505 4483791 31386025 219703199 1537920345 10765446511 75358117385 527506838079 3692547833785
loop(\(x,i).(((x - (if (i mod (2 + 2)) <= 0 then x else 1)) mod 2) + (x * 2)),x,1)
A172411: 1 2 5 10
A266613: 1 2 5 10 20 41 82 165 330 661 1322 2645 5290 10581 21162 42325
loop(\(x,i).(x - (x mod (((2 + 2) * 2) + 1))),1,loop(\(x,i).(x * 2),x,1))
A153237: 0 0 0 0 9 27 63 126 252 504 1017 2043 4095 8190 16380 32760
loop(\(x,i).(((x * x) - (x div 2)) * (x - 1)),1,loop(\(x,i).(x * 2),x,1))
A160873: 0 3 42 420 3720 31248 256032 2072640 16679040 133824768 1072169472 8583644160 68694312960 549655154688 4397643866112 35182761492480
(loop(\(x,i).((x * x) + (x div 2)),2,(2 + 1)) - loop(\(x,i).(x * 2),x,1))
A286812: 104 103 101 97 89 73 41 ~23 ~151 ~407 ~919 ~1943 ~3991 ~8087 ~16279 ~32663
(loop(\(x,i).(((x * x) + 1) * x),2,(2 + 1)) mod loop(\(x,i).(x * 2),x,1))
A320916: 0 0 2 6 6 22 22 22 150 406 406 406 2454 2454 10646 27030
loop(\(x,i).(((((x + 2) + 2) + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1))
A256873: 3 7 18 52 168 592 2208 8512 33408 132352 526848 2102272 8398848 33574912 134258688 536952832
loop(\(x,i).((((x * x) div (2 + 1)) + x) div 2),1,loop(\(x,i).(x * 2),x,1))
A076024: 0 1 4 14 50 186 714 2794 11050 43946 175274 700074 2798250 11188906 44747434 178973354
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) - 1)) + loop(\(x,i).(x * 2),x,1))
A079242: 0 2 2 8
A014236: 0 2 2 8 12 32 56 128 240 512 992 2048 4032 8192 16256 32768
loop(\(x,i).((((x mod (2 + 1)) + x) * x) div 2),1,loop(\(x,i).(x * 2),x,1))
A032121: 1 4 10 40 136 544 2080 8320 32896 131584 524800 2099200 8390656 33562624 134225920 536903680
(loop(\(x,i).(x - (i - ((x * 2) + 1))),x,1) - loop(\(x,i).(x * 2),x,1))
A263622: 0 1 4 14 47 153 486 1516 4669 14255 43268 130818 394491 1187557 3570850 10728920
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1))
A074602: 2 9 53 351 2417 16839 117713 823671 5765057 40354119 282476273 1977328791 13841291297 96889018599 678223089233 4747561542711
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(x * 2),x,1))
A190540: 0 5 45 335 2385 16775 117585 823415 5764545 40353095 282474225 1977324695 13841283105 96889002215 678223056465 4747561477175
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod loop(\(x,i).(x * 2),x,1))
A138616: 0 1 1 7 1 7 17 119 193 327 753 1175 2081 6375 3665 9271
loop(\(x,i).((((x * x) div 2) - (x mod 2)) + 1),2,loop(\(x,i).(x * 2),x,1))
A092812: 1 4 40 544 8320 131584 2099200 33562624 536903680 8590065664 137439477760 2199025352704 35184380477440 562949986975744 9007199388958720 144115188612726784
(((loop(\(x,i).((2 + 1) * x),x,1) + 2) + 2) + loop(\(x,i).(x * 2),x,1))
A229354: 6 9 17 39 101 279 797 2319 6821 20199 60077 179199 535541 1602519 4799357 14381679
(loop(\(x,i).(((x * 2) * (2 + 1)) - 1),x,2) - loop(\(x,i).(x * 2),x,1))
A016200: 1 9 61 381 2317 13965 83917 503757 3023053 18139341 108838093 653032653 3918204109 23509241037 141055478989 846332939469
((loop(\(x,i).((2 + 1) * x),(x - 1),x) * 2) + loop(\(x,i).(x * 2),x,1))
A084859: 1 4 16 62 232 842 2980 10334 35248 118610 394684 1301126 4255624 13825658 44657428 143521838
((if x <= 0 then 0 else ((((x + 2) * 2) + x) * 2)) + loop(\(x,i).(x * 2),x,1))
A100316: 1 16 24 34 48 70 108 178 312 574 1092 2122 4176 8278 16476 32866
loop(\(x,i).((i * i) * x),(((x * 2) - 1) * x),loop(\(x,i).(x * 2),x,1))
A272238: 1 2 2073600 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + 1)
A236246-A003278: 1 2 4 5 10 11 13 14 28 29 31 32 37 38 40 41
loop(\(x,i).((0 - x) * (2 + 1)),x,loop(\(x,i).((1 - x) - (x * 2)),x,1))
A053535: 1 6 63 540 4941 44226 398763 3586680 32286681 290560446 2615103063 23535750420 211822285221 1906398972666 17157595536963 154418345483760
((loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)) + x) + 1)
A127948: 1 0 2 ~1 1 3 ~2 0 2 4 ~3 ~1 1 3 5 ~4
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + 1)
A104275: 1 5 8 11 13 14 17 18 20 23 25 26 28 29 32 33
(loop(\(x,i).(((2 + 1) * x) + 1),x,(2 + 1)) - (if (x mod 2) <= 0 then x else 1))
A195624: 3 9 29 93 279
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((x * x) + (x mod 2)),x,1))
A188545: 1 3 10
A056006: 1 3 10 136 32896 2147516416
loop(\(x,i).(((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * 2),x,1)
A002409: 1 14 112 672 3360 14784 59136 219648 768768 2562560 8200192 25346048 76038144 222265344 635043840 1778122752
loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2),x,1)
A054849: 1 12 84 448 2016 8064 29568 101376 329472 1025024 3075072 8945664 25346048 70189056 190513152 508035072
loop(\(x,i).((loop(\(x,i).(((i * 2) - 1) * x),i,1) + (i * x)) * 2),x,1)
A000779: 1 4 22 162 1506 16950 224190 3408930 58596930 1123663590 23782729950 550718680050 13849716607650 375904338960150 10952237584237950 340947694234397250
loop(\(x,i).(((((x * 2) * 2) * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)
A097183: 1 14 210 3220 49910 778596 12198004 191682920 3019005990 47633205620 752604648796 11904837171864 188493255221180 2986893121197160 47363590921840680 751502309293205456
loop(\(x,i).(2 - x),((x div 2) + 1),((if (x mod 2) <= 0 then 2 else 0) * (x + 1)))
A267314: 0 2 6 0 ~8 2 14 0 ~16 2 22 0 ~24 2 30 0
((loop(\(x,i).(if x <= 0 then (i * 2) else (x - (i mod 2))),x,0) + 1) mod (x + 1))
A065052: 0 1 0 2 2 1 6 4 3 1 0 10 10 9 9 8
(loop(\(x,i).(i * x),(x - 2),((x * 2) - (if x <= 0 then 0 else 1))) div (x + 1))
A330346: 0 0 1 1 2 9 37
(loop(\(x,i).(x * 2),(loop(\(x,i).(x * 2),x,2) mod (x + 1)),1) mod (x + 1))
A180060: 0 1 1 1 4 4 4 1 4 6 4 4 4 2 1 1
(loop(\(x,i).((if (x mod 2) <= 0 then (x div 2) else 1) + x),(x - 1),1) div (x + 1))
A017844: 1 0 0 0 0 1 1 1 1 1 2 3 4 5 5 7
(loop(\(x,i).(loop(\(x,i).(i * 2),(i - 2),x) + x),(x - 1),1) - (x + 1))
A305559: 0 ~1 ~1 0 1 4 9 16 25 36 49 64 81 100 121 144
(loop(\(x,i).loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1),2,1) div (x + 1))
A057074: 8916100448256 4458050224128 2972033482752 2229025112064 1783220089651 1486016741376 1273728635465 1114512556032 990677827584 891610044825 810554586205 743008370688 685853880635 636864317732 594406696550
(loop(\(x,i).loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1),2,1) div (x + 1))
A057072: 10000000000 5000000000 3333333333 2500000000 2000000000 1666666666 1428571428 1250000000 1111111111 1000000000 909090909 833333333 769230769 714285714 666666666 625000000
(1 - (loop(\(x,i).(x - loop(\(x,i).(i * x),(i - 1),1)),x,1) * (x + 1)))
A014145: 0 1 4 13 46 199 1072 6985 53218 462331 4500244 48454957 571411270 7321388383 101249656696 1502852293009
(2 - (loop(\(x,i).(x - loop(\(x,i).(i * x),(i - 1),1)),x,1) * (x + 1)))
A129867: 1 2 5 14 47 200 1073 6986 53219 462332 4500245 48454958 571411271 7321388384 101249656697 1502852293010
loop(\(x,i).(x * 2),x,(loop(\(x,i).(i * x),((2 + 1) * x),1) * (x + 1)))
A065142: 1 24 8640 11612160 38320128000 251073478656000 2868263420166144000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (((x div (if i <= 0 then 1 else i)) - x) div 2)),x,1) div (x + 1))
A017898: 1 0 0 0 1 1 1 1 2 3 4 5 7 10 14 19
loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),(x + 1),(x + 1))
A000911: 6 60 420 2520 13860 72072 360360 1750320 8314020 38798760 178474296 811246800 3650610600 16287339600 72129646800 317370445920
(loop(\(x,i).((if (2 - i) <= 0 then x else 1) + (x * 2)),x,(x + 1)) * (x + 1))
A077616: 1 10 63 324 1485 6318 25515 99144 373977 1377810 4979799 17714700 62178597 215765046 741360195 2525407632
(loop(\(x,i).(loop(\(x,i).((i + x) * 2),(i + 1),1) + x),x,1) * (x + 1))
A287992: 1 26 129 444 1285 3366 8281 19544 44829 100770 223201 488916 1061749 2289854 4910505 10480176
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),x,1) div (x + 1))
A180589: 1 1 3 12 54 294 1866 13698 114064 1062864 10958530 123870240 1523289156 20247546240 289277533440 4420892649600
(loop(\(x,i).loop(\(x,i).(x * 2),(x - 2),((2 + 1) * i)),x,1) * (x + 1))
A175719-A173604: 1 6 36 36864
((loop(\(x,i).loop(\(x,i).(((i * i) div 2) + x),i,x),x,1) div 2) + (x + 1))
A222011: 1 2 4 8
A271480: 1 2 4 8 16 30 53 88 139 210 306 432 594 798 1051 1360
((loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + ((x + 2) * 2)) + (x + 1))
A171763: 5 9 11 17 19 21 23 33 35 37 39 41 43 45 47 65
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),(x + 1))
A153238: 3 6 9 11 12 15 16 18 21 23 24 26 27 30 31 33
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) mod loop(\(x,i).(x * x),2,(x + 1)))
A066608: 0 0 64 0 399 208 1978 0 6265 8576 6978 1792 19075 22864 36199 0
(1 - loop(\(x,i).(x - (if x <= 0 then 1 else (x div ((x mod 2) + 1)))),x,(x + 1)))
A093048: 0 1 1 3 2 5 5 7 5 9 9 11 10 13 13 15
((if (x mod 2) <= 0 then loop(\(x,i).(((x + 2) * 2) + x),x,1) else x) mod (x + 1))
A197943: 0 1 1 3 1 5 1 7 7 9 1 11 1 13 10 15
loop(\(x,i).((((2 + 2) + 1) * x) + (if (2 - i) <= 0 then x else 1)),x,(x + 1))
A081041: 1 11 96 756 5616 40176 279936 1912896 12877056 85660416 564350976 3688436736 23944605696 154551545856 992612745216 6347497291776
compr(\x.loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,x),(x + 1))
A032924: 1 2 4 5 7 8 13 14 16 17 22 23 25 26 40 41
loop(\(x,i).(((if (2 - i) <= 0 then x else 1) * ((2 + 2) + 1)) + x),x,(x + 1))
A081106: 1 7 48 324 2160 14256 93312 606528 3919104 25194240 161243136 1027924992 6530347008 41358864384 261213880320 1645647446016
(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + (x + 1))
A089080: 1 2 3 2 4 2 3 2 5 2 3 2 4 2 3 2
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) * (x + 1))
A119579: 0 4 36 240 1400 7560 38808 192192 926640 4375800 20323160 93117024 421848336 1892909200 8424486000 37228204800
compr(\x.loop(\(x,i).(if (x mod ((i * 2) + 1)) <= 0 then x else (0 - x)),x,x),(x + 1))
A053869: 1 6 9 10 12 14 20 22 24 25 26 28 30 34 38 40
compr(\x.(loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 1 else 2)),x,x) + x),(x + 1))
A086304: 1 5 7 11 13 17 23 25 31 35 37 41 47 53 55 61
loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,(x + 1))
A027818: 1 14 84 336 1050 2772 6468 13728 27027 50050 88088 148512 241332 379848 581400 868224
loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,(x + 1))
A056003: 1 18 135 660 2475 7722 21021 51480 115830 243100 481338 906984 1637610 2848860 4796550 7845024
loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 1))
A051922: 1 12 63 224 630 1512 3234 6336 11583 20020 33033 52416 80444
A027810: 1 12 63 224 630 1512 3234 6336 11583 20020 33033 52416 80444 119952 174420 248064
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)))
A052796: 0 0 0 0 24 240 1440 6720 26880 96768 322560 1013760 3041280 8785920 24600576 67092480
loop(\(x,i).(x div ((2 + 2) + 1)),2,loop(\(x,i).((x - i) * x),2,(x - 1)))
A011935: 0 0 0 0 0 4 14 33 67 120 201 316 475 686 960 1310
(loop(\(x,i).(((if (x - 2) <= 0 then x else (2 + 2)) + x) + 2),2,x) + (x - 1))
A185450: 5 10 13 17 19 21 23
loop(\(x,i).(loop(\(x,i).((((i + 1) div 2) * i) + x),(i + 1),0) - x),x,1)
A023855: 1 2 7 10 22 28 50 60 95 110 161 182 252 280 372 408
loop(\(x,i).(loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),i,0) * x),x,1)
A118714: 1 3 27 513 17442 959310 79622730 9475104870 1553917198680 340307866510920 96987741955612200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),x,loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A094972: 1 5 30 166 915 5032 27680 152243 837339 4605366 25329516 139312339 766217865 4214198259 23178090428 127479497357
loop(\(x,i).((if (x mod ((2 + 1) * 2)) <= 0 then (x - (2 + 1)) else 1) + x),x,1)
A168009: 1 2 3 4 5 6 9 10 11 12 21 22 23 24 45 46
loop(\(x,i).(((if (x mod 2) <= 0 then ((2 + 1) * 2) else (i + 1)) + 1) * x),x,1)
A328778: 1 3 12 84 588 4116 28812 201684 1411788 9882516 69177612 484243284 3389702988 23727920916 166095446412 1162668124884
loop(\(x,i).(loop(\(x,i).(((i * i) * i) * (i * x)),(i + 1),1) + x),x,1)
A289945: 1 17 1313 333089 207693089 268946253089 645510228813089 2643553803594573089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A094975: 1 2 5 12 29 69 161 376 878 2050 4783 11162 26044 60771 141799 330865
loop(\(x,i).(x div (2 + 2)),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A094980: 1 1 3 5 9 16 28 50 87 153 269 471 825 1443 2526 4421
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,2) - (((2 + 2) + 1) * x)),x,1)
A083229: 1 1 13 ~11 217 ~599 4453 ~17891 102577 ~473519 2485693 ~12074171 61433737 ~303980039 1529466133 ~7618632851
loop(\(x,i).(((x * x) div 2) * x),1,loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A130214: 0 60 7800 976500 122070000 15258787500 1907348625000 238418579062500 29802322387500000 3725290298460937500 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(x * x),loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A135292: 1 20 6400 32768000 2684354560000 3518437208883200000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) - 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A226508: 3 33 315 2889 26163 235953 2125035 19129689 172180323 1549662273 13947078555 125524061289 1129717614483 10167461718993 91507165036875 823564514029689
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((2 + 1) * x),x,1))
A074609: 2 11 73 539 4177 33011 262873 2099339 16783777 134237411 1073800873 8590111739 68720008177 549757408211 4398051294073 35184386437739
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A190543: 0 5 55 485 4015 32525 261415 2094965 16770655 134198045 1073682775 8589757445 68718945295 549754219565 4398041728135 35184357739925
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A138955: 0 2 1 26 46 206 433 2006 739 19034 53857 76562 435349 1357028 1290286 5539319
loop(\(x,i).((((2 + 1) * x) + 2) * x),1,loop(\(x,i).((2 + 1) * x),x,1))
A061253: 5 33 261 2241 19845 177633 1595781 14353281 129153285 1162300833 10460471301 94143533121 847289672325 7625600673633 68630386930821 617673424981761
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1))
A074606: 2 8 34 152 706 3368 16354 80312 397186 1972808 9824674 49005272 244672066 1222297448 6108298594 30531927032
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A005058: 0 2 16 98 544 2882 14896 75938 384064 1933442 9706576 48650978 243609184 1219108802 6098732656 30503229218
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A067602: 0 2 7 17 58 209 316 1580 3526 4508 22540 112700 209206 1046030 447181 11801843
(((loop(\(x,i).(x * 2),x,2) + 1) * 2) - loop(\(x,i).((2 + 1) * x),x,1))
A135913: 5 7 9 7 ~15 ~113 ~471 ~1673 ~5535 ~17633 ~54951 ~168953 ~515055 ~1561553 ~4717431 ~14217833
(loop(\(x,i).((2 + 1) * x),(x div 2),2) + loop(\(x,i).((2 + 1) * x),x,1))
A262326: 3 5 15 33 99 261 783 2241 6723 19845 59535 177633 532899 1595781 4787343 14353281
(loop(\(x,i).(((2 + 2) + 1) * x),x,2) - loop(\(x,i).((2 + 1) * x),x,1))
A081625: 1 7 41 223 1169 6007 30521 154063 774689 3886567 19472201 97479103 487749809 2439811927 12202248281 61020807343
((loop(\(x,i).((x * 2) * 2),x,x) div 2) + loop(\(x,i).((2 + 1) * x),x,1))
A086093: 1 5 25 123 593 2803 13017 59531 268705 1199331 5301929 23245819 101194737 437801939 1883831161 8067412587
(loop(\(x,i).((x div (if i <= 0 then 1 else (i * 2))) + x),((2 + 1) * x),x) + 1)
A002491: 1 2 4 6 10 12 18 22 30 34 42 48 58 60 78 82
loop(\(x,i).loop(\(x,i).((((i * 2) * (2 + 1)) + 1) * x),(2 + 1),x),x,1)
A138130: 1 1729 2989441 5168743489 8936757492481 15451653704499649 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i div (2 + 1)) + 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1)
A228731-A003963: 1 1 2 1 3 2 4 1 4 3 5 2 6 4 6 1
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + (((i * 2) + 1) * x)),x,1)
A129890: 1 5 33 279 2895 35685 509985 8294895 151335135 3061162125 68000295825 1645756410375 43105900812975 1214871076343925 36659590336994625 1179297174137457375
loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) + (((i * 2) + 1) * x)),x,1)
A068102: 1 5 32 262 2644 31848 446592 7150512 128749536 2575353600 56661408000 1359913708800 35358235430400 990036819072000 29701191750451200 950439443688806400
loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + (((i * 2) - 1) * x)),x,1)
A192459: 1 3 17 133 1315 15675 218505 3485685 62607195 1250116875 27468111825 658579954725 17109329512275 478744992200475 14354443912433625 459128747151199125
loop(\(x,i).(loop(\(x,i).(0 - x),(((i * 2) div (x + 1)) + x),1) + x),x,1)
A220098: 1 2 1 2 3 2 3 4 3 2 3 4 5 4 3 4
loop(\(x,i).((loop(\(x,i).((x * 2) * (2 + 1)),(x - 2),x) + 1) * x),x,1)
A135408: 1 2 6 46662
A165710: 1 2 6 46662 4611686018427387903
loop(\(x,i).(((loop(\(x,i).(i * x),x,(x + 1)) - (x * x)) + 1) * x),x,1)
A115658: 1 2 6 30030
loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) * x),x,1)
A015008: 1 10 910 746200 5507702200 365876657146000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x - ((((x * 2) * 2) * 2) - 1)),i,1) * x),x,1)
A015020: 1 ~6 ~258 77400 162617400 ~2391451484400 ~246183190158589200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),i,1) + x),x,1)
A303786: 1 11 1011 10001011 1000000010001011 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1) + x),x,1)
A173184: 1 1 2 4 13 57 322 2176 17009 150505 1485466 16170036 192384877 2483177809 34554278858 515620794592
loop(\(x,i).(loop(\(x,i).(1 - (((x * 2) * 2) * (2 + 1))),i,1) * x),x,1)
A015027: 1 ~11 ~1463 2333485 44665236385 ~10259202810507035 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - (((2 + 1) * x) * (2 + 1))),i,1) * x),x,1)
A015023: 1 ~8 ~584 383104 2262229120 ~120223904353280 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) * x),x,1)
A015009: 1 11 1221 1356531 15072415941 1674711207620451 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) * x),x,1)
A015006: 1 8 456 182400 510902400 10017774259200 1375009641495014400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x div ((i mod 2) + 2)) + x) + 1),i,1) + x),x,1)
A053599: 1 3 7 13 23 37 59 89 135 197 291 417 607 861 1243 1753
loop(\(x,i).(loop(\(x,i).(1 - ((((2 + 2) + 1) * x) * 2)),i,1) * x),x,1)
A015025: 1 ~9 ~819 744471 6767985861 ~615270826637649 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x * 2) <= 0 then 2 else loop(\(x,i).((((2 + 2) * 2) - (i + 1)) * x),x,1))
A036752: 2 6 30 120 360 720 720
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),(i * 2),(i + 1)) + x),x,1)
A014943: 1 51 1926 64426 2017551 60611301 1769595676 50597720676 1423888736301 39570861392551 1088612609439426 29698842101626926 804559224181705051 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),x,2) - loop(\(x,i).((i * 2) - ((i + 1) * x)),x,1))
A291098: 1 4 12 266
loop(\(x,i).loop(\(x,i).(((((i * 2) + 1) * i) div 2) + x),(i + 1),x),x,1)
A058195: 1 7 23 57 118 218 370 590 895 1305 1841 2527 3388 4452 5748 7308
loop(\(x,i).loop(\(x,i).((((i * i) * i) * (i * i)) + x),(i + 1),x),x,1)
A101092: 1 34 310 1610 6035 18236 47244 109020 229845 450670 832546 1463254 2465255 4005080 6304280 9652056
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),i,(i + 1)) + x),x,1)
A014927: 1 25 457 7369 111049 1604041 22505929 309160393 4178995657 55776799177 736867805641 9652968253897 125562274081225 1623467149388233 20882244117621193 267394589311003081
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,(i + 1)) + x),x,1)
A014925: 1 21 321 4321 54321 654321 7654321 87654321 987654321 10987654321 120987654321 1320987654321 14320987654321 154320987654321 1654320987654321 17654320987654321
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,(i + 1)) + x),x,1)
A014920: 1 15 162 1534 13539 114381 937924 7526268 59409477 462945547 3570173286 27298094202 207234827815 1563680973513 11737027066248 87698011225336
(loop(\(x,i).(i * x),x,1) - loop(\(x,i).(((i mod 2) + (i - 1)) * x),x,1))
A059838: 0 0 1 3 15 75 495 3465 29295 263655 2735775 30093525 370945575 4822292475 68916822975 1033752344625
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((i - 1) * x)),x,1)
A195257: 1 5 30 185 1180 7845 54850 407225 3241200 27882725 260710150 2655929625 29459366500 354733101125 4617633830250 64677391201625
loop(\(x,i).(loop(\(x,i).((((2 - (i mod 2)) + 2) * i) + x),i,1) + x),x,1)
A212968: 1 5 17 38 75 127 203 300 429 585 781 1010 1287 1603 1975 2392
loop(\(x,i).((((2 + 2) * (2 + 1)) + (if (x - 2) <= 0 then 1 else 2)) * x),x,1)
A285399: 1 13 182 2548 35672 499408 6991712 97883968 1370375552 19185257728 268593608192 3760310514688 52644347205632 737020860878848 10318292052303872 144456088732254208
loop(\(x,i).(((((2 + 2) * 2) * 2) - (if (x - 2) <= 0 then 1 else 2)) * x),x,1)
A170734-A170696-A170648-A170600-A170552-A170504-A170456-A170408-A170360-A170312-A170264-A170216-A170168-A170120-A170072-A170024-A169556-A169508-A169460-A169412-A169364-A169316-A169268-A169220-A169172-A169124-A169076-A169028-A168980-A168932-A168884-A168836-A168788-A168740-A168692-A167923: 1 15 210 2940 41160 576240 8067360 112943040 1581202560 22136835840 309915701760 4338819824640 60743477544960 850408685629440 11905721598812160 166680102383370240
(compr(\x.loop(\(x,i).loop(\(x,i).(x div ((x mod 2) + 1)),x,(x + 1)),2,x),x) + 1)
A164874: 2 5 6 11 13 14 23 27 29 30 47 55 59 61 62 95
(compr(\x.loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),2,x),x) + 1)
A048645: 1 2 3 4 5 6 8 9 10 12 16 17 18 20 24 32
loop(\(x,i).(x * x),1,loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),x,1))
A001249: 1 16 100 400 1225 3136 7056 14400 27225 48400 81796 132496 207025 313600 462400 665856
loop(\(x,i).(loop(\(x,i).((((x * x) * (2 + 1)) + x) + 1),2,2) * x),x,1)
A288989: 1 691 477481 329939371 227988105361 157539780804451 108859988535875641 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - 1) * x) div 2),1,loop(\(x,i).(((i mod 2) - 2) * x),x,1))
A137173: 0 1 1 3 6 10 28 36 120 136 496 528 2016 2080 8128 8256
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then ((x * 2) + 1) else x) * 2) + x),x,1)
A018445: 1 3 9 47 141 423
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).((((2 + 1) * i) - 2) * x),x,1))
A020089: 1 0 0 1 3 14 79 505 3710 30920 288591 2982109 33797240 416832633 5557768440 79661347641
loop(\(x,i).((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) * 2) + x),x,1)
A010969: 1 17 153 969 4845 20349 74613 245157 735471 2042975 5311735 13037895 30421755 67863915 145422675 300540195
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),i,2) - x),x,1)
A054108: 1 5 15 55 197 727 2705 10165 38455 146301 559131 2145025 8255575 31861025 123256495 477823895
loop(\(x,i).(loop(\(x,i).((i + 2) * x),(i - 1),1) + ((i + 2) * x)),x,1)
A182541: 1 4 19 107 702 5274 44712 422568 4407120 50292720 623471040 8344624320 119938250880 1842662908800 30136443724800 522780938265600
(loop(\(x,i).((loop(\(x,i).((x * x) + 2),2,2) * x) + 1),2,(x * x)) - 1)
A158766: 38 1482 5814 13034 23142 36138 52022 70794 92454 117002 144438 174762 207974 244074 283062 324938
(loop(\(x,i).((2 + 1) * x),(x * x),1) + loop(\(x,i).(x * 2),(x * x),1))
A120800: 2 5 97 20195 43112257 847322163875 150094704016475857 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x * x),1) - loop(\(x,i).(x * 2),(x * x),1))
A120801: 0 1 65 19171 42981185 847255055011 150094566577522385 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,((x * x) + 1))
A344399: 1 4 30 200 1190 6552 34188 171600 836550 3986840 18660356 86062704 392102620 1768102000 7902970200 35056559520
(if (x - 1) <= 0 then ((2 + 1) * x) else loop(\(x,i).(i * x),x,((x * x) + 1)))
A018932: 0 3 10 60 408 3120 26640 252000 2620800 29756160 366508800 4869849600 69455232000 1058593536000 17174123366400 295534407168000
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1))
A135420: 1 20 10000 125000000 39062500000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1)
A274332-A139791-A005097: 1 2 3 5 6 8 9 11 14 15 18 20 21 23 26 29
loop(\(x,i).(x - ((loop(\(x,i).((0 - x) * 2),(i - 1),1) - x) - x)),x,1)
A133467: 1 2 8 20 68 188 596 1724 5300 15644 47444 141308 425972 1273820 3829652 11472572
(compr(\x.loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,x),x) + 1)
A153775: 1 2 3 5 6 8 9 14 15 17 18 23 24 26 27 41
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then (((x * 2) * 2) + 1) else x) + x),x,1)
A222011: 1 2 4 8
A018395: 1 2 4 8 41 82 164 328
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then (((x * x) * 2) + 1) else x) + x),x,1)
A018304: 1 2 4 37 74 148
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then (((x + 2) * x) + 1) else x) + x),x,1)
A018291: 1 2 4 29 58 116
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then (((x + 2) * x) + 1) else x) + x),x,1)
A222011: 1 2 4 8
A018605: 1 2 4 8 89 178 356 712
loop(\(x,i).(loop(\(x,i).(x - (i - ((i * i) * 2))),(i + 1),x) + x),x,1)
A213758: 1 9 40 130 355 871 1994 4360 9245 19205 39356 79934 161415 324755 651870 1306596
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),i,x) - x),x,1)
A028693: 1 23 13225 182809175 60651514035625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,x) - x),x,1)
A027879: 1 10 1200 1596000 23365440000 3763004112000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((if (x mod 2) <= 0 then ((2 + 1) * x) else 0) + 1) * i) * x),x,1)
A330229: 1 1 2 42 21336
loop(\(x,i).(compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),i) + x),x,1)
A101301: 1 3 7 13 23 35 51 69 91 119 149 185 225 267 313 365
loop(\(x,i).(compr(\x.(loop(\(x,i).((1 - x) * 2),x,0) mod (x + 1)),i) * x),x,1)
A307826: 1 1 4 24 240 2880 46080 829440 18247680 510935040 15328051200 551809843200 22072393728000 927040536576000 42643864682496000 2217480963489792000
loop(\(x,i).loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 1)),i,x),x,1)
A203469: 1 3 30 1050 132300 61122600 104886381600 674943865596000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,x),x,1)
A003046: 1 1 2 10 140 5880 776160 332972640 476150875200 2315045555222400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010965: 1 13 91 455 1820 6188 18564 50388 125970 293930 646646 1352078 2704156 5200300 9657700 17383860
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010927: 1 11 55 165 330 462 462 330 165 55 11 1
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A000582: 1 10 55 220 715 2002 5005 11440 24310 48620 92378 167960 293930 497420 817190 1307504
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) div (if i <= 0 then 1 else i)) - x),x,1)
A010931: 1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A001287: 1 11 66 286 1001 3003 8008 19448 43758 92378 184756 352716 646646 1144066 1961256 3268760
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) - x),x,1)
A285198: 1 9 36 84 126 126 84 36 9 1
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A000580: 1 8 36 120 330 792 1716 3432 6435 11440 19448 31824 50388 77520 116280 170544
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) * x),x,1)
A059861: 1 1 3 15 135 1485 22275 378675 7952175 214708725 6226553025 217929355875 8499244879125 348469040044125 15681106801985625 799736446901266875
loop(\(x,i).(loop(\(x,i).((((i * x) div 2) * 2) + 1),i,1) + (i * x)),x,1)
A088128: 1 2 7 30 157 970 6931 56294 512569 5173074 57330271 692227822 9045871957 127205130650 1915394962027 30748771424310
(loop(\(x,i).(x * 2),(((x - 1) * x) div 2),1) - loop(\(x,i).(i * x),x,1))
A127429: 0 0 0 2 40 904 32048 2092112 268395136 68719113856 35184368460032 36028796979047168 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i * x) + 1),x,1) * (x * x)) div loop(\(x,i).(i * x),x,1))
A330280: 0 2 10 24
A293412: 0 2 10 24 43 67 97 133 173 220 271 328 391 459 532 611
loop(\(x,i).(loop(\(x,i).(((i * i) * x) + 1),i,1) + ((i * i) * x)),x,1)
A336809: 1 3 21 271 5649 174051 7447573 422836191 30767443521 2792343036259 309252314731701 41051709426337743 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i * 2) - 1) * x) * 2) + 1) div (if i <= 0 then 1 else i)),x,1)
A029651: 1 3 9 30 105 378 1386 5148 19305 72930 277134 1058148 4056234 15600900 60174900 232676280
((if x <= 0 then 2 else (if ((x + 2) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0)) + 2)
A338150: 4 2 2 2 2 3 2 2 2 2 2 2 3 2 2 2
((if (x mod (2 + 1)) <= 0 then (if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1) else 0) + 2)
A245070: 3 2 2 3 2 2 4 2 2 3 2 2 3 2 2 3
loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).((i + x) * 2),(x - 1),0) * 2))
A286778: 0 2 22 142 734 3390 14718 61694 253438 1029118 4151294 16683006 66904062 267993086 1072791550 4292935678
(loop(\(x,i).(x * 2),x,2) - (if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2))
A025489: 2 4 8 16 32 64
A335891: 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65534
(if ((x div 2) - 2) <= 0 then 1 else ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2))
A216321: 1 1 1 1 1 1 2 2 2 2 4 2 2 2 2 4
(if x <= 0 then 1 else (if ((x + 1) mod ((((x - 1) div 2) mod 2) + 2)) <= 0 then 0 else 2))
A108352: 1 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2
(if x <= 0 then 1 else (((x * 2) * (2 + 1)) - (if ((x div 2) - 2) <= 0 then 0 else 2)))
A315767: 1 6 12 18 24 30 34 40 46 52 58 64 70 76 82 88
(loop(\(x,i).((x - (if (i mod 2) <= 0 then 2 else (0 - 2))) * (2 + 1)),x,0) * 2)
A226493: 0 12 24 84 240 732 2184 6564 19680 59052 177144 531444 1594320 4782972 14348904 43046724
(loop(\(x,i).((x - 1) * 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,0)) div 2)
A241275: 0 0 5 45 305 1905 11585 69825 419585 2518785 15115265 90696705 544190465 3265163265 19591020545 117546205185
(loop(\(x,i).((loop(\(x,i).((1 - x) * 2),i,1) + x) + (x * 2)),x,0) div 2)
A091002: 0 0 1 2 9 22 77 210 673 1934 5973 17578 53417 158886 479389 1432706
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + (if x <= 0 then 0 else 2))
A249373-A004139: 3 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
(loop(\(x,i).(((loop(\(x,i).(i * x),i,i) + x) * (i + 1)) + x),x,0) div 2)
A321853: 0 1 10 86 756 7092 71856 787824 9329760 118956960 1627067520 23786386560 370371536640 6122231942400 107109431654400 1977781262284800
((loop(\(x,i).((i * x) * 2),x,1) + (if (x - 2) <= 0 then (x * x) else 0)) div 2)
A052594: 0 1 6 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 714164561510400 21424936845312000
(loop(\(x,i).((loop(\(x,i).((i * x) + 1),(i - 1),1) - i) + x),x,0) div 2)
A002807: 0 0 0 1 7 37 197 1172 8018 62814 556014 5488059 59740609 710771275 9174170011 127661752406
(if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)
A106149: 0 1 1 2 1 2 1 2 2 1 2 2 1 2 2 2
(if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)
A227944: 0 1 1 1 1 1 2 1 2 1 2 1 2 2 1 1
(if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)
A318306-A305832-A064547-A058061: 0 1 1 1 1 2 1 2 1 2 1 2 1 2 2 1
(if x <= 0 then 0 else (if (x mod (((2 + 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2))
A196062: 0 1 1 1 1 2 1 1 2 2 1 2 2 2 2 1
loop(\(x,i).((2 + 1) * x),x,((loop(\(x,i).(i * x),(x - 1),1) + 1) div 2))
A032261: 1 3 9 27 243 2916 43740 787320 16533720 396809280 10713850560 321415516800 10606712054400 381841633958400 14891823724377600 625456596423859200
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * ((2 + 2) + 1)) else 1) * 2)
A040399: 20 2 40 2 40 2 40 2 40 2 40 2 40 2 40 2
(loop(\(x,i).(i * x),((((if x <= 0 then 2 else x) + (x * 2)) * 2) + 1),1) div 2)
A082670: 60 2520 3113510400 60822550204416000 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 1) * 2)
A040323: 18 2 36 2 36 2 36 2 36 2 36 2 36 2 36 2
((if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (2 + 1)) else 1) * 2)
A040575: 24 2 48 2 48 2 48 2 48 2 48 2 48 2 48 2
(loop(\(x,i).(x * x),x,(loop(\(x,i).(x * x),(x * 2),(2 + 1)) + 1)) + 2)
A219014: 6 6726 4611686018427387903
(((loop(\(x,i).loop(\(x,i).(x * x),x,2),x,(1 - x)) * (2 + 1)) + 1) * 2)
A275006: 8 14 98 4611686018427387903
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((x * 2) * 2),(x * 2),1) + 1)) div 2)
A214135: 1 17 514 16388 524296 16777232 536870944 17179869248 549755814016 17592186044672 562949953421824 18014398509483008 576460752303425536 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x div 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1)) + 1) div 2)
A136423: 1 1 2 3 4 6 9 13 19 29 43 65 97 146 219 328
((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),x,1) + 1) div 2)
A110556: 1 ~1 3 ~10 35 ~126 462 ~1716 6435 ~24310 92378 ~352716 1352078 ~5200300 20058300 ~77558760
loop(\(x,i).(x * 2),x,((loop(\(x,i).((i mod 2) + (x * 2)),x,1) + 1) div 2))
A179607: 1 4 12 56 208 864 3392 13696 54528 218624 873472 3495936 13979648 55926784 223690752 894795776
((loop(\(x,i).((x * x) * 2),x,1) * (loop(\(x,i).(x * 2),x,1) + 1)) div 2)
A174972: 1 3 20 576 278528 35433480192 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * (2 + 1)),x,(loop(\(x,i).(x * 2),x,1) + 1)) div 2)
A143079: 1 9 90 972 11016 128304 1516320 18055872 215830656 2584929024 30988915200 371685583872 4459138615296 53503133036544 641998414356480 7703745879785472
((loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),x) + (x * 2)),x,1) + 1) div 2)
A089709: 1 2 6 36 360 6480 220320 14541120 1890345600 487709164800 250682510707200 257200255985587200 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).((x * 2) * 2),(i * 2),2) - x),(x + 1),1) div 2)
A154806: 15 240 3855 61680 986895 15790320 252645135 4042322160 64677154575 1034834473200 16557351571215 264917625139440 4238682002231055 67818912035696880 1085102592571150095 4611686018427387903
(loop(\(x,i).((if (x mod 2) <= 0 then 2 else 0) * ((i * 2) - 1)),(x - 1),1) * 2)
A181389: 2 2 0 12 20 28 36 44 52 60 68 76 84 92 100 108
((if x <= 0 then 2 else loop(\(x,i).(((x div 2) + x) * (2 + 2)),(x - 1),1)) * 2)
A084477: 4 2 8 48 288 1728 10368 62208 373248 2239488 13436928 80621568 483729408 2902376448 17414258688 104485552128
((loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then i else x) + x),x,1) + 1) div 2)
A271520: 1 1 2 4 6 8 16 32
(if x <= 0 then 0 else ((x + 1) mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2)))
A260187: 0 0 1 0 1 0 1 2 3 4 5 0 1 2 3 4
(if x <= 0 then 0 else (if ((x div (2 + 2)) - (x mod ((2 + 1) * 2))) <= 0 then 1 else 2))
A124765: 0 1 1 1 1 1 2 1 1 1 1 1 2 2 2 1
((if (x mod 2) <= 0 then ((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040195: 14 2 28 2 28 2 28 2 28 2 28 2 28 2 28 2
((if (x mod (2 + 1)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040252: 16 2 2 32 2 2 32 2 2 32 2 2 32 2 2 32
(if x <= 0 then 1 else (loop(\(x,i).((x div 2) + 2),(x - ((2 + 2) * 2)),1) * 2))
A104274: 1 2 2 2 2 2 2 2 2 4 6 6 6 6 6 6
(loop(\(x,i).(i * x),x,(if x <= 0 then 2 else ((((x + 2) + 2) + 2) + 1))) div 2)
A230056: 1 4 9 30 132 720 4680 35280 302400 2903040 30844800 359251200 4550515200 62270208000 915372057600 14384418048000
(if x <= 0 then 0 else (if ((((2 + 1) * x) mod ((x div 2) + 2)) - 2) <= 0 then 1 else 2))
A334028: 0 1 1 1 1 2 2 1 1 2 1 2 2 2 2 1
(if ((x - (if ((x div (2 + 2)) - 2) <= 0 then 1 else 0)) mod (2 + 2)) <= 0 then 1 else 2)
A245225: 2 1 2 2 2 1 2 2 2 1 2 2 1 2 2 2
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * ((2 + 2) + 1)) else 2)
A040224: 15 2 30 2 30 2 30 2 30 2 30 2 30 2 30 2
((loop(\(x,i).(loop(\(x,i).(x * x),x,2) - 2),x,1) * ((2 + 2) + 1)) + 2)
A275005: 7 12 72 4611686018427387903
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A216095: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 6384 2768
(if x <= 0 then 1 else (((loop(\(x,i).((x - (i mod 2)) * 2),x,2) * 2) - 1) * 2))
A093380: 1 6 14 22 46 86 174 342 686 1366 2734 5462 10926 21846 43694 87382
(if (x - 1) <= 0 then x else (if (x mod ((((x div 2) * x) mod 2) + 2)) <= 0 then 1 else 2))
A305831: 0 1 1 1 1 2 1 2 1 2 1 2 1 2 1 1
(((if (((2 + 2) * 2) mod (if x <= 0 then 1 else x)) <= 0 then x else 0) * (2 + 1)) div 2)
A099892: 0 1 3 0 6 0 0 0 12 0 0 0 0 0 0 0
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).(((x * 2) * 2) + 1),(2 + 1),2))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036147: 1 2 4 8 16 32 64 128 107 65 130 111 73 146 143 137
((loop(\(x,i).(x * x),1,(loop(\(x,i).(i * x),x,2) - 1)) * (2 + 1)) div 2)
A020544: 1 1 13 181 3313 85681 3106081 152379361 9753972481 790089189121 79009114867201 9560105293939201 1376655193941350401 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).loop(\(x,i).(((2 + 1) * x) - 1),x,2),x,1) * (2 + 1)) + 2)
A172996: 5 17 1097 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).(x * x),2,(2 + 1)) + 2))
A271350: 1 3 9 27 81 77 65 29 4 12 36 25 75 59 11 33
(if (x - 1) <= 0 then ((x * 2) * 2) else (if (x - 2) <= 0 then 1 else ((2 + 1) * 2)))
A021028: 0 4 1 6 6 6 6 6 6 6 6 6 6 6 6 6
((loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)) * (2 + 1)) div 2)
A104568: 1 3 1 4 3 1 6 4 3 1 7 6 4 3 1 9
(if x <= 0 then 1 else (loop(\(x,i).(((x * 2) - (x mod 2)) * 2),x,(2 + 1)) + 2))
A122973: 1 12 42 162 642 2562 10242 40962 163842 655362 2621442 10485762 41943042 167772162 671088642 2684354562
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) div 2))
A001816: 12 120 720 3360 13440 48384 161280 506880 1520640 4392960 12300288 33546240 89456640 233963520 601620480 1524105216
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) + 1) * 2))
A016834: 1024 60466176 10000000000 289254654976 3570467226624 26559922791424 141167095653376 590490000000000 2064377754059776 6278211847988224 17080198121677824 42420747482776576 97656250000000000 210832519264920576 430804206899405824 839299365868340224
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) + 1) * 2))
A016836: 4096 2176782336 1000000000000 56693912375296 1156831381426176 12855002631049216 95428956661682176 531441000000000000 2386420683693101056 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).(x * 2),((x * 2) - 1),2))
A201186: 6 28 496 8128 130816 2096128 33550336 536854528
loop(\(x,i).(x * 2),(if (x - 2) <= 0 then x else (((x * 2) - (x mod 2)) + 1)),2)
A060815: 2 4 8 128 1024 2048
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),(if x <= 0 then 2 else 1)) div 2)
A216156: 10 50 500 5000 50000 500000 5000000 50000000 500000000 5000000000 50000000000 500000000000 5000000000000 50000000000000 500000000000000 5000000000000000
((if x <= 0 then 0 else ((x div ((2 + 2) - (if (x mod 2) <= 0 then 1 else x))) + 1)) mod 2)
A206566: 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1
loop(\(x,i).(x * 2),(x - 1),(loop(\(x,i).(((2 + 1) * x) - 1),x,1) div 2))
A053524: 0 1 4 28 160 976 5824 35008 209920 1259776 7558144 45349888 272097280 1632587776 9795518464 58773127168
(loop(\(x,i).((x - loop(\(x,i).(x - ((i - x) * 2)),i,1)) * 2),x,1) div 2)
A187693: 0 0 1 11 57 229 815 2715 8701 27233 83979 256519 778745 2354637 7100743 21375923
((loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((x + 2) * 2),x,1)) div 2)
A281773: 0 0 1 9 43 165 571 1869 5923 18405 56491 172029 521203 1573845 4742011 14266989
(loop(\(x,i).(x * 2),(x - 1),((loop(\(x,i).(x * 2),x,2) + x) + 1)) div 2)
A346317: 1 3 11 40 148 560 2160 8448 33344 132352 527104 2103296 8401920 33583104 134279168 537001984
((loop(\(x,i).(((x * 2) - 1) * 2),x,1) + loop(\(x,i).(x * 2),x,1)) div 2)
A007581: 1 2 5 15 51 187 715 2795 11051 43947 175275 700075 2798251 11188907 44747435 178973355
((loop(\(x,i).((2 + 1) * x),(x - 1),2) + loop(\(x,i).(x * 2),x,1)) div 2)
A085281: 1 2 5 13 35 97 275 793 2315 6817 20195 60073 179195 535537 1602515 4799353
((loop(\(x,i).(x * 2),((x - 1) div 2),2) + loop(\(x,i).(x * 2),x,1)) div 2)
A005418: 1 2 3 6 10 20 36 72 136 272 528 1056 2080 4160 8256 16512
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (loop(\(x,i).(x * 2),x,1) div 2))
A144465: 1 4 23 121 617 3109 15593 78061 390497 1952869 9765113 48827101 244138577 1220699029 6103507433 30517561741
(((if (x mod 2) <= 0 then 1 else ((x - 1) * x)) + loop(\(x,i).(x * 2),x,1)) div 2)
A236291: 1 1 2 7 8 26 32 85 128 292 512 1079 2048 4174 8192 16489
((loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(x - 1),1) * (x + 1)) div 2)
A051403: 0 1 3 8 25 102 539 3496 26613 231170 2250127 24227484 285705641 3660694198 50624828355 751426146512
(loop(\(x,i).((x + 1) * 2),x,((if x <= 0 then 1 else (2 + 2)) * (x + 1))) * 2)
A196558: 2 36 108 284
loop(\(x,i).(x * 2),(if x <= 0 then (2 + 1) else (((x * 2) * 2) * (x + 1))),2)
A099772: 16 512 33554432 562949953421312 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else 2)) - (((x + 2) * (x + 1)) div 2))
A130104: 0 1 2 6 17 43 100 220 467 969 1982 4018 8101 16279 32648 65400
loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,(x * 2)),(x + 1),2)
A048577: 3 4 6 9 14 22 35 56 90 145 234 378 611 988 1598 2585
(loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - 1)) + ((x + 1) * 2))
A286191: 3 13 55 233 971 3981 16143 65041 261139 1046549 4190231 16769049 67092507 268402717 1073676319 4294836257
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x),((x + 1) * 2))
A099862: 6 9 12 15 18 21 24 26 28 32 34 36 39 42 45 48
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x),((x + 1) * 2))
A099861: 4 8 10 14 16 20 22 25 27 30 33 35 38 40 44 46
compr(\x.loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,x),((x + 1) * 2))
A248056: 6 10 18 24 30 34 40 46 54 58 66 72 78 86 90 96
loop(\(x,i).(if (x mod (2 + 2)) <= 0 then 0 else 1),((x div 2) - 1),((x + 1) div 2))
A346100: 0 1 1 2 1 1 1 0 0 1 1 1 1 1 1 0
(loop(\(x,i).((if x <= 0 then ((2 + 2) + 1) else 0) - x),x,1) * ((x + 1) div 2))
A266085: 0 ~1 6 ~12 22 ~33 48 ~64 84 ~105 130 ~156 186 ~217 252 ~288
(loop(\(x,i).(((if (i mod 2) <= 0 then i else 1) * i) + x),x,1) + ((x + 1) div 2))
A093361: 1 3 7 11 27 33 69 77 141 151 251 263 407 421 617 633
(if x <= 0 then 0 else loop(\(x,i).(((x * 2) * 2) * ((i * 2) - 1)),(x - 1),2))
A052713: 0 2 8 96 1920 53760 1935360 85155840 4428103680 265686220800 18066663014400 1373066389094400 115337576683929600 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - 1) <= 0 then x else loop(\(x,i).((((i * 2) - 1) * x) * 2),(x - 1),2))
A052718: 0 1 4 24 240 3360 60480 1330560 34594560 1037836800 35286451200 1340885145600 56317176115200 2590590101299200 129529505064960000 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((2 - x) * 2),(x - 1),2))
A120656: 0 4 18 50 166 474 1478 4330 13206 39194 118438 353610 1064246 3185914 9571398 28686890
(if (x - 1) <= 0 then 1 else ((loop(\(x,i).((x * x) * x),x,x) * (x - 1)) div 2))
A245490: 1 1 256 7625597484987 4611686018427387903
(((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 0) + 1) * (if x <= 0 then 1 else 2))
A040168: 13 2 26 2 26 2 26 2 26 2 26 2 26 2 26 2
(((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040120: 11 2 22 2 22 2 22 2 22 2 22 2 22 2 22 2
(((if (x mod (2 + 2)) <= 0 then ((2 + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A010141: 7 2 2 2 14 2 2 2 14 2 2 2 14 2 2 2
(((if (x mod 2) <= 0 then (((2 + 2) * 2) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040288: 17 2 34 2 34 2 34 2 34 2 34 2 34 2 34 2
(((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 0) + 2) * (if x <= 0 then 1 else 2))
A040188: 14 4 28 4 28 4 28 4 28 4 28 4 28 4 28 4
((((if (x mod 2) <= 0 then ((2 + 2) * 2) else 0) + 1) * 2) * (if x <= 0 then 1 else 2))
A040314: 18 4 36 4 36 4 36 4 36 4 36 4 36 4 36 4
(((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 1) * 2) * (if x <= 0 then 1 else 2))
A040563: 24 4 48 4 48 4 48 4 48 4 48 4 48 4 48 4
(((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) * 2) * (if x <= 0 then 1 else 2))
A040389: 20 4 40 4 40 4 40 4 40 4 40 4 40 4 40 4
(((((if (x mod 2) <= 0 then (2 + 2) else 0) + 1) * 2) * 2) * (if x <= 0 then 1 else 2))
A040384: 20 8 40 8 40 8 40 8 40 8 40 8 40 8 40 8
((((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) * 2) * 2) * (if x <= 0 then 1 else 2))
A040557: 24 8 48 8 48 8 48 8 48 8 48 8 48 8 48 8
(compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) + (if x <= 0 then 1 else 2))
A231407: 1 4 6
A055670: 1 4 6 8 12 14 18 20 24 30 32 38 42 44 48 54
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + (if x <= 0 then 1 else 2))
A299763: 1 3 4 6 8 12 14 18 20 24 30 32 38 42 44 48
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(if x <= 0 then 1 else 2))
A228403: 1 4 10 28 84 264 858 2860 9724 33592 117572 416024 1485800 5348880 19389690 70715340
(loop(\(x,i).(loop(\(x,i).(x * x),1,(((i + 1) div 2) + 1)) + x),x,1) * 2)
A018227: 2 10 18 36 54 86 118 168 218 290 362 460 558 686 814 976
((loop(\(x,i).((x - 2) * 2),x,1) mod loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A094033: 0 0 0 3 18 75 270 903 2898 9075 27990 85503 259578 784875 2366910 7125303
(loop(\(x,i).(((if (x mod 2) <= 0 then 1 else i) * ((x * 2) - 1)) + x),x,1) + 2)
A046461: 3 4 7 34 97
((loop(\(x,i).((i * x) * 2),(x div 2),1) + loop(\(x,i).(i * x),x,1)) div 2)
A113247: 1 1 2 4 16 64 384 2544 20352 181632 1816320 19960320 239523840 3113533440 43589468160 653837506560
(loop(\(x,i).loop(\(x,i).(((((i mod 2) + 2) * i) + i) + x),i,x),x,1) div 2)
A342397: 0 2 7 18 35 62 98 148 210 290 385 502 637 798 980 1192
(loop(\(x,i).(((loop(\(x,i).(x * 2),i,i) * (i * i)) * i) + x),x,1) div 2)
A209359: 0 1 33 357 2405 12405 53877 207541 731829 2411445 7531445 22523829 64991157 181977013 496680885 1326120885
((if x <= 0 then 2 else (if ((x div 2) mod (((x mod 2) + 2) + 1)) <= 0 then 1 else 2)) + 2)
A156743: 4 3 4 4 4 4 3 4 4 3 4 4 3 4 4 4
((loop(\(x,i).(loop(\(x,i).((i + 2) * x),i,1) + x),(x + 1),1) div 2) div 2)
A117397: 1 4 19 109 739 5779 51139 504739 5494339 65369539 843747139 11741033539 175200329539 2790549065539 47251477577539 847548190793539
(((x div ((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) * 2) + 1)) + 2) div 2)
A117502: 1 1 2 1 1 3 1 1 2 5 1 1 2 3 8 1
((if x <= 0 then 2 else (x mod ((if (x mod 2) <= 0 then 1 else (x div (2 + 1))) + 2))) div 2)
A066032: 1 0 1 0 0 1 0 1 1 2 0 0 0 0 1 0
(loop(\(x,i).(x * x),2,loop(\(x,i).((x * x) * 2),((x * 2) - 1),2)) div 2)
A139298: 8 2048 576460752303423488 4611686018427387903
(loop(\(x,i).(x * 2),x,1) mod loop(\(x,i).((((x + 2) + 1) * x) - 1),2,2))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036140: 1 2 4 8 16 32 64 21 42 84 61 15 30 60 13 26
((if x <= 0 then 1 else ((if (((2 + 2) + 1) mod (x + 1)) <= 0 then x else 1) + 2)) * 2)
A117217: 2 6 6 6 12 6 6 6 6 6 6 6 6 6 6 6
(loop(\(x,i).((x * 2) * 2),x,1) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A001264: 1 4 16 64 56 24 96 84 36 44 76 4 16 64 56 24
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A001218: 1 3 9 27 81 43 29 87 61 83 49 47 41 23 69 7
loop(\(x,i).(((x * 2) + 1) * x),1,((loop(\(x,i).(x * 2),x,1) div 2) + 2))
A060852: 10 21 36 78 210
(loop(\(x,i).((x - 1) * (2 + 1)),x,(loop(\(x,i).(x * 2),x,1) div 2)) * 2)
A059517: 0 0 12 138 1056 7050 44472 273378 1659936 10018650 60289032 362265618 2175188016 13055911050 78349815192 470141937858
(if x <= 0 then 1 else ((((if (x - (2 + 1)) <= 0 then 2 else 1) mod (x + 1)) + 2) * 2))
A329506: 1 4 8 8 6 6 6 6 6 6 6 6 6 6 6 6
(if (x - 2) <= 0 then (if x <= 0 then 1 else ((x * 2) * 2)) else (((x + 1) div 2) div 2))
A154520: 1 4 8 1 1 1 1 2 2 2 2 3 3 3 3 4
(((if x <= 0 then 1 else (if ((x - 2) mod ((x mod 2) + 2)) <= 0 then 0 else 2)) + 2) * 2)
A171784: 6 8 4 8 4 4 4 8 4 8 4 4 4 8 4 8
((if x <= 0 then 0 else loop(\(x,i).(x * 2),(((x div (2 + 1)) + 1) div 2),2)) + 2)
A251546: 2 4 4 6 6 6 6 6 6 10 10 10 10 10 10 18
((((x - (loop(\(x,i).(if x <= 0 then i else (x div 2)),x,2) - 1)) div 2) div 2) + 2)
A128219: 1 2 2 2 3 3 2 3 4 4 2 3 4 5 5 2
((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),((x + 1) div 2),2)) * 2)
A297619: 0 0 8 16 48 96 224 448 960 1920 3968 7936 16128 32256 65024 130048
(if (x mod (2 + 2)) <= 0 then 1 else (((if (x mod 2) <= 0 then 1 else (2 + 2)) * 2) * 2))
A177499: 1 16 4 16 1 16 4 16 1 16 4 16 1 16 4 16
((loop(\(x,i).((2 + 1) * x),(x + 1),(if x <= 0 then 1 else (2 + 2))) * 2) * 2)
A183355: 12 144 432 1296 3888 11664 34992 104976 314928 944784 2834352 8503056 25509168 76527504 229582512 688747536
(loop(\(x,i).(x * 2),x,loop(\(x,i).((x * 2) + 1),x,((2 + 2) * 2))) div 2)
A291009: 4 17 70 284 1144 4592 18400 73664 294784 1179392 4718080 18873344 75495424 301985792 1207951360 4831821824
((loop(\(x,i).(x * 2),x,loop(\(x,i).((i + x) + 1),x,(2 + 2))) div 2) div 2)
A072863: 1 3 9 26 72 192 496 1248 3072 7424 17664 41472 96256 221184 503808 1138688
((loop(\(x,i).(x * 2),x,loop(\(x,i).((i * x) - 1),x,(2 + 2))) div 2) div 2)
A317968: 1 1 5 28 220
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).(((x * x) * x) + 2),2,2) - 2))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A126605: 1 2 4 8 16 32 64 128 256 512 24 48 96 192 384 768
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).((i * x) + 1),(2 + 2),2))
A036136: 1 3 9 27 81 65 17 51 64 14 42 37 22 66 20 60
(loop(\(x,i).((if (x - 2) <= 0 then 1 else 2) + x),(x div 2),(x div (2 + 2))) + 2)
A109763: 2 2 3 3 5 5 7 7 11 11 13 13 17 17 19 19
(loop(\(x,i).loop(\(x,i).(((i + x) - 1) * x),2,(x * x)),x,(2 + 2)) div 2)
A001377: 2 32896 4611686018427387903 4611686018427387903
(if (x mod ((2 + 1) * 2)) <= 0 then 1 else (((if (x - 1) <= 0 then x else 2) * 2) * 2))
A331067: 1 4 8 8 8 8 1
((loop(\(x,i).(((x + 2) + 1) * x),1,loop(\(x,i).(x * 2),x,2)) * 2) * 2)
A235886: 40 112 352 1216 4480 17152 67072 265216 1054720 4206592 16801792 67158016 268533760 1073938432 4295360512 17180655616
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x * x) * (x * 2)),(x - 2),2) div 2))
A275203: 1 2 4 64
A219735: 1 2 4 64 65536 17592186044416 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) * 2) * 2))
A017076: 0 68719476736 281474976710656 36520347436056576 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) div 2),x,loop(\(x,i).(x * x),((x * 2) * 2),2))
A051241: 2 2147516416 4611686018427387903
((loop(\(x,i).(x * x),1,((if (x mod 2) <= 0 then 2 else 0) + (x div 2))) div 2) div 2)
A008797: 1 0 2 0 4 1 6 2 9 4 12 6 16 9 20 12
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).((x * x) + 2),2,2))
A070385: 1 5 25 11 17 9 7 35 23 1 5 25 11 17 9 7
(if x <= 0 then 0 else (if (x mod (((x - 1) mod (2 + 2)) + 1)) <= 0 then 1 else (2 + 2)))
A193512: 0 1 1 1 1 1 1 4 1 1 1 4 1 1 1 1
(if (x mod 2) <= 0 then (if (x mod (2 + 2)) <= 0 then (x div (2 + 2)) else 1) else (2 + 2))
A174571: 0 4 1 4 1 4 1 4 2 4 1 4 3 4 1 4
loop(\(x,i).(((x + 2) + 1) * 2),(x div 2),(if (x mod 2) <= 0 then 1 else (2 + 2)))
A063757: 1 4 8 14 22 34 50 74 106 154 218 314 442 634 890 1274
loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),(if (x mod 2) <= 0 then 1 else (2 + 2)))
A133632: 1 4 5 20 25 100 125 500 625 2500 3125 12500 15625 62500 78125 312500
(if x <= 0 then 1 else loop(\(x,i).((((2 + 1) * i) - 2) * x),(x - 1),(2 + 2)))
A091541: 1 4 4 16 112 1120 14560 232960 4426240 97377280 2434432000 68164096000 2113086976000 71844957184000 2658263415808000 106330536632320000
(if x <= 0 then 1 else loop(\(x,i).((i * x) - (((i mod 2) * 2) - 1)),x,(2 + 2)))
A110149: 1 3 7 20 81 404 2425 16974 135793 1222136 12221361 134434970 1613219641 20971855332 293605974649 4404089619734
loop(\(x,i).loop(\(x,i).(x div (2 + 1)),(x - 1),(x + 2)),x,(x div (2 + 2)))
A287561: 0 2 1 3 1 3 0 2 2 1 3 0 3 0 2 1
(loop(\(x,i).(((i * 2) - 1) * x),x,1) div loop(\(x,i).(i * x),x,(2 + 2)))
A024505: 0 0 0 0 1 1 3 6 12 23 45 86 165 317 612 1183
(x div ((if (x mod 2) <= 0 then 1 else ((if (x mod (2 + 1)) <= 0 then 1 else x) + 2)) + 2))
A082023: 0 0 0 0 1 0 2 0 2 1 3 0 4 0 4 3
(loop(\(x,i).loop(\(x,i).((2 + 1) * x),((x * x) div (2 + 2)),1),x,2) * 2)
A274992: 4 6 18 6973568802
(loop(\(x,i).((((x * 2) + 1) * 2) + (if (x - 2) <= 0 then 2 else 1)),x,2) div 2)
A267536: 1 6 25 103 415 1663 6655 26623 106495 425983 1703935 6815743 27262975 109051903 436207615 1744830463
(loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((x * 2) * 2) + 1),x,2)) div 2)
A166927: 1 18 296 4768 76416 1223168 19572736 313171968 5010784256 80172679168 1282763390976 20524216352768 328387470032896 5254199554080768 84067192999510016 1345075088529031168
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((x - (i mod 2)) * 2) + 1),x,2)) div 2)
A083424: 1 3 14 52 216 848 3424 13632 54656 218368 873984 3494912 13981696 55922688 223698944 894779392
loop(\(x,i).((x * 2) * 2),x,(loop(\(x,i).(((2 + 1) * x) - 1),x,2) div 2))
A053536: 1 8 112 1280 15616 186368 2240512 26869760 322502656 3869769728 46438285312 557255229440 6687079530496 80244887257088 962938915520512 11555265912504320
(loop(\(x,i).(loop(\(x,i).((x div ((i + 2) * 2)) + x),2,x) + 1),x,2) div 2)
A018124: 1 1 2 2 3 4 5 7 9 12 16 21 28 37 49 64
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).((x + 1) * x),2,2))
A070388: 1 5 25 41 37 17 1 5 25 41 37 17 1 5 25 41
((loop(\(x,i).((if (x - (2 + 2)) <= 0 then x else (x + 2)) + 1),2,x) + 2) * 2)
A337252: 8 10 12 14 20 26 28 30 32 34 36 38 40 42 44 46
(loop(\(x,i).(1 - x),x,loop(\(x,i).((x * 2) - ((x div 2) mod 2)),x,2)) div 2)
A077972: 1 ~1 2 ~5 9 ~18 37 ~73 146 ~293 585 ~1170 2341 ~4681 9362 ~18725
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((x + 1) * x) div 2),x,2)) div 2)
A145272: 1 3 15 210 26565 358999410 64449908117864115
(loop(\(x,i).((((if (x mod (i + 1)) <= 0 then 0 else i) + 1) * x) * 2),x,2) div 2)
A141900: 1 2 12 24 240 480 6720 13440 241920 483840 10644480 21288960 553512960 1107025920 2214051840 4428103680
(loop(\(x,i).((if ((i - 1) mod (2 + 2)) <= 0 then 2 else 0) + (x * 2)),x,2) * 2)
A102651: 4 12 24 48 96 196 392 784 1568 3140 6280 12560 25120 50244 100488 200976
loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,(x + 2)),(x + 2),2)
A020706: 4 6 9 14 22 35 56 90 145 234 378 611 988 1598 2585 4182
loop(\(x,i).(x * 2),x,(2 - ((x mod 2) - loop(\(x,i).(x * 2),(x + 2),2))))
A001446: 10 34 136 520 2080 8224 32896 131200 524800 2097664 8390656 33556480 134225920 536879104 2147516416 8589967360
loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,((x + 2) + 2))
A027764: 4 25 90 245 560 1134 2100 3630 5940 9295 14014 20475 29120 40460 55080 73644
loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) + 2),x,((x + 2) * 2)))
A298198: 4 40 320 2368 16832 116608 793088 5318656 35271680 231786496 1511653376 9795518464 63126683648 404881506304 2586017398784 16456474427392
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 2)) div 2)
A085373: 1 9 60 350 1890 9702 48048 231660 1093950 5080790 23279256 105462084 473227300 2106121500 9307051200 40873466520
((loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,(x + 2))) div 2)
A066810: 0 0 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379
(loop(\(x,i).((if (x - 2) <= 0 then (2 + 1) else x) + x),x,(1 - (x * 2))) * 2)
A320674: 2 4 6 8 10 12 16 20 24 32 40 48 64 80 96 128
(loop(\(x,i).(1 - (if (x mod ((i * 2) + 1)) <= 0 then 0 else x)),2,(x * 2)) + 2)
A214061: 2 4 6 2 10 12 2 16 3 2 22 24 2 3 30 2
loop(\(x,i).(0 - x),x,loop(\(x,i).((((i * 2) + 1) * x) * 2),(x * 2),2))
A024343: 2 ~120 30240 ~17297280 17643225600 ~28158588057600 64764752532480000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (2 + 2)) <= 0 then x else (if (x mod 2) <= 0 then (x div 2) else ((x * 2) * 2)))
A246943: 0 4 1 12 4 20 3 28 8 36 5 44 12 52 7 60
(loop(\(x,i).(x - (if ((x * 2) mod (i + 1)) <= 0 then 2 else 1)),x,(x * 2)) * 2)
A308044: 0 0 2 4 2 8 10 8 14 16 14 20 18 16 26 28
((if x <= 0 then 1 else ((if (x mod 2) <= 0 then (2 - x) else x) + 2)) + ((x div 2) mod 2))
A327824: 1 3 3 6 0 7
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((2 + 1) * x),(x div 2),2))
A262414: 0 4 12 48 144 468 1404 4320 12960 39204 117612 353808 1061424 3187188 9561564 28693440
(if (if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then x else 0) <= 0 then (x mod 2) else 2)
A339975: 0 1 0 1 2 1 0 1 0 1 2 1 2 1 0 1
((if ((if x <= 0 then 1 else x) mod (2 + 1)) <= 0 then 2 else 1) * (1 - ((x mod 2) * 2)))
A281727: 1 ~1 1 ~2 1 ~1 2 ~1 1 ~2 1 ~1 2 ~1 1 ~2
((loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).((2 + 1) * x),x,2)) * 2)
A145544: 0 4 28 148 700 3124 13468 56788 235900 969844 3958108 16068628 64983100 262058164 1054609948 4237571668
(loop(\(x,i).((((if (i mod 2) <= 0 then 2 else 0) + x) div (2 + 1)) + x),x,2) div 2)
A240840: 1 1 1 2 3 4 5 7 9 12 17 22 30 40 53 71
((loop(\(x,i).((x * x) + (x mod 2)),x,1) + loop(\(x,i).(x * x),x,2)) + 2)
A092733: 5 8 22 274 65794
(if x <= 0 then 1 else ((((if (x - 2) <= 0 then 1 else ((x * x) * x)) * x) + 2) + 2))
A053611: 1 5 6 85
(loop(\(x,i).((loop(\(x,i).((i * x) + 1),(i - 1),1) + i) + x),x,2) div 2)
A222011: 1 2 4 8
A116723: 1 2 4 8 18 53 219 1201 8055 62860 556070 5488126 59740688 710771367 9174170117 127661752527
(loop(\(x,i).(loop(\(x,i).((i * x) + 1),(i + 1),1) + (i * x)),x,2) * 2)
A259104: 4 14 60 310 1892 13374 107644 972710 9754500 107518702 1292197244 16818292374 235673103460 3537700674590 56637064388412 963304044932614
(if x <= 0 then 0 else loop(\(x,i).((((x * 2) - 1) * ((2 + 2) + 1)) - 1),x,2))
A073554: 0 14 134 1334 13334 133334 1333334 13333334 133333334 1333333334 13333333334 133333333334 1333333333334 13333333333334 133333333333334 1333333333333334
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),(x - 1),1)) * x) div 2)
A082134: 0 1 6 30 144 680 3168 14560 66048 296064 1313280 5772800 25178112 109078528 469819392 2013388800
loop(\(x,i).((((i * 2) + 1) * x) - loop(\(x,i).(i * x),(i - 1),1)),x,2)
A303108: 2 5 24 166 1488 16344 212352 3184560 54132480 1028476800 21597649920 496742319360 12418518067200 335299508812800 9723679528550400 301433978206771200
loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)),x,2)
A100009: 2 5 70 1088430 4611686018427387903
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 2 else 1) + ((x * 2) * (2 + 1))),x,2)
A037555: 2 13 79 476 2857 17143 102860 617161 3702967 22217804 133306825 799840951 4799045708 28794274249 172765645495 1036593872972
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((2 + 1) * x) + 2))
A016798: 1024 9765625 1073741824 25937424601 289254654976 2015993900449 10240000000000 41426511213649 141167095653376 420707233300201 1125899906842624 2758547353515625 6278211847988224 13422659310152401 27197360938418176 52599132235830049
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((2 + 1) * x) + 2))
A016800: 4096 244140625 68719476736 3138428376721 56693912375296 582622237229761 4096000000000000 21914624432020321 95428956661682176 353814783205469041 1152921504606846976 3379220508056640625
(if x <= 0 then 1 else ((((if (x - (2 + 2)) <= 0 then 1 else x) div (2 + 1)) + x) * 2))
A301587: 1 2 4 6 8 12 16 18 20 24
(((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + x) + 2)
A061228: 2 4 6 6 10 8 14 10 12 12 22 14 26 16 18 18
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) * 2)
A309355: 8 14 20 24 26 32 34 38 44 48 50 54 56 62 64 68
(loop(\(x,i).(1 - x),(x - 1),(loop(\(x,i).((i * x) + 1),x,1) + x)) div 2)
A009578: 0 1 ~3 9 ~34 165 ~981 6853 ~54804 493209 ~4932055 54252561 ~651030678 8463398749 ~118487582409 1777313736045
((loop(\(x,i).(loop(\(x,i).(((x + 1) div 2) * x),i,x) + 1),x,1) + x) - 2)
A154737: ~1 1 3 164 4611686018427387903
((if x <= 0 then 2 else (loop(\(x,i).(((x div 2) + 2) + (2 + 2)),x,1) + x)) + 2)
A033662: 4 9 13 15 17 18 19 20 21 22 23 24 25 26 27 28
((if (x mod (2 + 2)) <= 0 then (x div 2) else ((if (x mod 2) <= 0 then x else 1) + x)) div 2)
A065173: 0 1 2 2 1 3 6 4 2 5 10 6 3 7 14 8
(x - (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 1)),(x + 1),x) - 2))
A146968: 4 5 7
A033557: 4 5 7 7 9 9 11 13 15 13 15 15 17 19 21 19
loop(\(x,i).loop(\(x,i).(((i mod 2) - 2) * x),x,1),1,(((x + 1) * x) div 2))
A183895: 1 ~1 ~2 8 32 ~128 ~1024 16384 262144 ~4194304 ~134217728 8589934592 549755813888 ~35184372088832 ~4503599627370496 1152921504606846976
((if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 2 else 1) - ((if x <= 0 then 1 else x) mod 2))
A292242: 0 0 1 0 1 0 2 0 1 0 1 0 1 0 2 0
((if (x mod (2 + 1)) <= 0 then (2 + 2) else 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A010126: 4 1 2 4 2 1 8 1 2 4 2 1 8 1 2 4
(((if ((if x <= 0 then 2 else ((x + 1) div 2)) mod (2 + 2)) <= 0 then 0 else 2) + x) div 2)
A110266: 1 1 2 2 3 3 4 3 4 5 6 6 7 7 8 7
(loop(\(x,i).((loop(\(x,i).(x * 2),x,(2 + 1)) mod (x + 1)) + 2),2,x) div 2)
A231867: 1 1 1 1 1 1 1 1 1 2 1 1 1 2 7 1
loop(\(x,i).(x * x),2,loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),x,2))
A013878: 16 16777216 17592186044416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else ((((if (x - (2 + 2)) <= 0 then 1 else (2 + 2)) * 2) + x) + 2))
A220655: 2 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 2 else 1) + (((x * 2) * 2) * 2)),x,2)
A037557: 2 17 137 1098 8785 70281 562250 4498001 35984009 287872074 2302976593 18423812745 147390501962 1179124015697 9432992125577 75463937004618
((loop(\(x,i).((x * x) * x),2,x) + loop(\(x,i).(x * x),(2 + 2),x)) div 2)
A170789: 0 1 33024 21533202 2147614720 76294921875 1410559992576 16616485461604 140737555464192 926510288136165 5000000500000000 22974866110759926 92442132027408384 332708309893839607 1088976679235208960
loop(\(x,i).((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + ((x * 2) * 2)),x,2)
A037561: 2 10 41 166 666 2665 10662 42650 170601 682406 2729626 10918505 43674022 174696090 698784361 2795137446
(loop(\(x,i).((0 - x) - 1),x,(2 + 1)) mod loop(\(x,i).((x * 2) * 2),x,2))
A266255: 1 4 3 124 3 2044 3 32764 3 524284 3 8388604 3 134217724 3 2147483644
(loop(\(x,i).(x * 2),(x - 1),(loop(\(x,i).((i + x) + 2),x,2) + x)) div 2)
A084266: 1 3 11 34 96 256 656 1632 3968 9472 22272 51712 118784 270336 610304 1368064
((if x <= 0 then 0 else compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x)) + 2)
A173135: 2 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61
loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2)
A061286: 2 4 16 64 1024 4096 65536 262144 4194304 268435456 1073741824 68719476736 1099511627776 4398046511104 70368744177664 4503599627370496
(loop(\(x,i).(loop(\(x,i).((x + 1) * 2),x,2) * x),1,((x + 2) * x)) * 2)
A244056: 0 180 16352 3932100 3221225376 9620726742900 108086391056891712 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x + 1),loop(\(x,i).((i mod 2) + (x * 2)),x,2))
A262415: 6 45 270 1701 10206 61965 371790 2237301 13423806 80601885 483611310 2902199301 17413195806 104483957805 626903746830 3761465527701
(loop(\(x,i).(0 - x),x,((x mod (2 + 1)) - 1)) + loop(\(x,i).(x * 2),x,2))
A130785: 1 4 9 17 32 63 127 256 513 1025 2048 4095 8191 16384 32769 65537
loop(\(x,i).((((x * x) + 1) * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,2))
A115500: 30 340 4680 69904 1082400 17043520 270549120 4311810304 68853957120 1100586419200 17600780175360 281543712968704 4504149450301440 72061992352890880 1152956690052710400 4611686018427387903
loop(\(x,i).((((x * 2) * 2) + 1) * (x - 1)),1,loop(\(x,i).(x * 2),x,2))
A220236: 9 51 231 975 3999 16191 65151 261375 1047039 4191231 16771071 67096575 268410879 1073692671 4294868991 17179672575
(loop(\(x,i).(((i + 2) + 2) * x),x,(2 + 1)) - loop(\(x,i).(x * 2),x,2))
A123367: 1 11 82 614 5008 45296 453472 4989344 59874688 778376576 10897284352 163459291904 2615348727808 44460928495616 800296713183232 15205637551038464
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) - 1)) mod loop(\(x,i).(x * 2),x,2))
A287470: 1 0 6 0 28 0 120 0 496 0 2016 0 8128 0 32640 0
(loop(\(x,i).((x div (0 - 2)) - (2 + 1)),x,1) mod loop(\(x,i).(x * 2),x,2))
A283709: 1 0 7 13 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534
(loop(\(x,i).((((i mod 2) - 2) * x) - 1),x,1) mod loop(\(x,i).(x * 2),x,2))
A282417: 1 2 3 12 7 56 15 240 31 992 63 4032 127 16256 255 65280
loop(\(x,i).(((2 + 2) * (x - 1)) * (2 + 1)),2,loop(\(x,i).(x * 2),x,2))
A278128: 132 420 996 2148 4452 9060 18276 36708 73572 147300 294756 589668 1179492 2359140 4718436 9437028
(((if (x - 1) <= 0 then (2 + 1) else 0) - (x mod 2)) mod loop(\(x,i).(x * 2),x,2))
A277928: 1 2 0 15 0 63 0 255 0 1023 0 4095 0 16383 0 65535
(loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) + loop(\(x,i).(x * 2),x,2))
A159230: 2 5 10 20 38 74 142 278 542 1070 2110 4190 8318 16574 33022 65918
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + 2)
A033159: 2 3 5 6 11 12 14 15 29 30 32 33 38 39 41 42
loop(\(x,i).(((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + x) + (x * 2)),x,2)
A037560: 2 8 25 77 233 700 2102 6308 18925 56777 170333 511000 1533002 4599008 13797025 41391077
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + 2)
A153043: 2 6 9 12 14 15 18 19 21 24 26 27 29 30 33 34
(((loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1) * (x mod 2)) + x) div 2)
A038572: 0 1 1 3 2 6 3 7 4 12 5 13 6 14 7 15
loop(\(x,i).(x * x),1,loop(\(x,i).((x * 2) - (((x div 2) + i) mod 2)),x,2))
A262334: 4 16 64 225 841 3249 12996 51984 207936 829921 3316041 13256881 53027524 212110096 848440384 3393645025
(loop(\(x,i).(if x <= 0 then 1 else (((x - 2) * x) * (x - 1))),2,x) + (x + 2))
A242915: 2 4 5 125
compr(\x.loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2),2,x),(x + 2))
A173786: 2 3 4 5 6 8 9 10 12 16 17 18 20 24 32 33
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(x + 2))
A090459-A090417-A020631: 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67
loop(\(x,i).(x - ((if (x - 1) <= 0 then x else 2) * 2)),((x div 2) + 1),(x - 2))
A230075: 2 1 0 1 ~2 ~1 0 ~1 2 1 0 1 ~2 ~1 0 ~1
(if x <= 0 then 1 else ((if (x div (2 + 2)) <= 0 then (x - (2 + 1)) else 1) + (x * 2)))
A267881: 1 0 3 6 9 11 13 15 17 19 21 23 25 27 29 31
(loop(\(x,i).(x * 2),(x - 1),((if (x - 2) <= 0 then x else 1) + 1)) - (x * 2))
A130102: 1 0 2 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738
compr(\x.loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,(x + 1)),(x * 2))
A225227: 1 7 13
A157971: 1 7 13 21 25 31 37 41 49 55 61 69 73 81 87 93
((if x <= 0 then 1 else (loop(\(x,i).((x - i) * i),(x div 2),x) * 2)) + (x * 2))
A231407: 1 4 6
A295523: 1 4 6 10 12 18 30
(x - loop(\(x,i).(x - (if ((x * 2) mod (i + 1)) <= 0 then 2 else 1)),x,(x * 2)))
A238737: 0 1 1 1 3 1 1 3 1 1 3 1 3 5 1 1
(loop(\(x,i).((if (2 - i) <= 0 then x else 1) + (x * 2)),(x - 1),x) * (x * 2))
A062189: 0 2 20 126 648 2970 12636 51030 198288 747954 2755620 9959598 35429400 124357194 431530092 1482720390
((0 - x) - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)))
A114327: 0 1 ~1 2 0 ~2 3 1 ~1 ~3 4 2 0 ~2 ~4 5
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)),(x * 2))
A031368: 2 5 11 17 23 31 41 47 59 67 73 83 97 103 109 127
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(x * 2))
A031215: 3 7 13 19 29 37 43 53 61 71 79 89 101 107 113 131
compr(\x.(1 - loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,x)),(x * 2))
A091855: 1 4 7 11 13 16 19 21 25 28 31 35 37 41 44 47
((if (loop(\(x,i).((x + 2) * x),2,2) mod (x + 1)) <= 0 then 0 else 1) + (x mod 2))
A294883: 0 1 1 1 0 2 1 1 1 1 1 2 1 2 1 1
((if ((x div (2 + 1)) mod 2) <= 0 then (if x <= 0 then 1 else 2) else (0 - 1)) + (x mod 2))
A131290: 1 3 2 0 ~1 0 2 3 2 0 ~1 0 2 3 2 0
(loop(\(x,i).((x * 2) * 2),(x div (if (2 - x) <= 0 then 2 else 1)),1) - (x mod 2))
A287199: 1 3 4 3 16 15 64 63 256 255 1024 1023 4096 4095 16384 16383
(loop(\(x,i).(((if (i mod 2) <= 0 then 1 else (i * 2)) - i) * x),x,1) * (x mod 2))
A177698: 0 1 0 ~3 0 45 0 ~1575 0 99225 0 ~9823275 0 1404728325 0 ~273922023375
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((x * 2) - 1),(x div 2),(x mod 2)))
A098656: 0 1 ~2 4 ~24 16 ~224 64 ~1920 256 ~15872 1024 ~129024 4096 ~1040384 16384
loop(\(x,i).(x * 2),x,(2 - loop(\(x,i).((0 - x) - 1),(x div 2),(x mod 2))))
A237275: 2 2 12 32 32 32 192 512 512 512 3072 8192 8192 8192 49152 131072
loop(\(x,i).((((if x <= 0 then 0 else 2) + 2) * 2) * (x + 1)),(x div 2),(x mod 2))
A220788: 0 1 4 16
A206918: 0 1 4 16 40 136 328 1096 2632 8776 21064 70216 168520 561736 1348168 4493896
loop(\(x,i).(loop(\(x,i).((x + 2) * x),(i - 1),1) * (x + 1)),x,(x mod 2))
A122570: 0 2 6 150 27030 2523490710 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,(2 + 1)) - loop(\(x,i).((2 + 1) * x),x,2))
A255463: 1 6 30 138 606 2586 10830 44778 183486 747066 3027630 12228618 49268766 198137946 795740430 3192527658
((loop(\(x,i).((i * x) - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,x) + x) + 2)
A055048: 2 5 8 11 14 17 18 20 23 26 29 32 35 38 41 44
(compr(\x.loop(\(x,i).loop(\(x,i).(x div ((x mod 2) + 1)),x,(x + 1)),2,x),x) + 2)
A095029: 3 6 7 12 14
A175332: 3 6 7 12 14 15 24 28 30 31 48 56 60 62 63 96
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x * x) * x),2,x)) * x) div 2)
A170801: 0 1 262656 581160258 137439477760 9536748046875 304679900238336 5699447733924196 72057594574798848 675425860579888245 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),i,2) + x),x,2)
A066796: 2 8 28 98 350 1274 4706 17576 66196 250952 956384 3660540 14061140 54177740 209295260 810375650
(loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((i * i) + x),x,(x * x))) div 2)
A085385: 0 1 9 46 184 640 2032 6048 17152 46848 124160 321024 813056 2023424 4960256 12001280
(2 - loop(\(x,i).((loop(\(x,i).((x - 1) * (2 + 1)),i,0) + x) + x),x,2))
A005173: 0 1 12 61 240 841 2772 8821 27480 84481 257532 780781 2358720 7108921 21392292 64307941
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 2)
A006254: 2 3 4 6 7 9 10 12 15 16 19 21 22 24 27 30
(if x <= 0 then 2 else (2 - loop(\(x,i).((((x - 1) div 2) - 1) - (x * x)),x,2)))
A147782: 2 7 31 859
(loop(\(x,i).(loop(\(x,i).((x - i) * x),2,(i + 2)) + x),(x + 1),0) * x)
A162669: 0 144 1008 4032 12096 30240 66528 133056 247104 432432 720720 1153152 1782144 2673216 3907008 5581440
(loop(\(x,i).(i * x),(x - 2),loop(\(x,i).((x * 2) + 1),(x - 1),0)) * x)
A052840: 0 0 2 9 56 450 4464 52920 731520 11566800 206035200 4083488640 89137843200 2124970848000 54929029478400 1530259226496000
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),(x - 1),0) * x)
A006675: 0 0 2 15 104 770 6264 56196 554112 5973264 69998400 886897440 12089295360 176484597120 2748022986240 45472329504000
(loop(\(x,i).(loop(\(x,i).((i * i) * x),i,1) + (i * x)),(x - 1),0) * x)
A217239: 0 0 2 18 216 3960 110160 4399920 238412160 16777031040 1484589254400 161180565638400 21054377854540800 3256459838542310400 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),2) + (i * x)),(x - 2),0) * x)
A052745: 0 0 0 6 24 110 600 3836 28224 235224 2191680 22584672 255087360 3134139840 41620400640 594082771200
(loop(\(x,i).(if x <= 0 then 1 else (((i + 1) * x) * ((i * 2) + 1))),x,0) * x)
A002456: 0 1 30 1260 75600 6237000 681080400 95351256000 16672848192000 3563821301040000 914714133933600000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).((i + x) + x),(i - 1),i) + (x * 2)),x,0) - x)
A226315: 0 0 5 27 99 307 867 2307 5891 14595 35331 83971 196611 454659 1040387 2359299
(loop(\(x,i).((if (x div 2) <= 0 then 1 else ((x div (i + 2)) + 2)) + x),x,0) - x)
A005357: 0 0 0 1 2 3 5 7 9 11 13 15 17 19 22 25
compr(\x.(1 - ((x + 1) mod (loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1))),x)
A158582: 4 8 9 10 12 16 17 18 19 20 21 22 24 25 26 28
(loop(\(x,i).(loop(\(x,i).((x * x) div 2),2,(x + 2)) * x),(x - 1),1) + x)
A155733: 1 2 10 10003 4611686018427387903
(loop(\(x,i).(loop(\(x,i).((0 - x) * 2),i,1) + (i * x)),(x - 1),1) * x)
A335111: 0 1 ~2 6 ~8 40 48 784 5248 49536 490240 5403904 64822272 842742784 11798284288 176974510080
(loop(\(x,i).((2 + 1) * x),(2 - x),(((if x <= 0 then 0 else 2) + 2) + 1)) - x)
A173896: 27 14 3 2 1
(1 mod (if x <= 0 then 2 else (if ((x + 2) mod (((x div 2) mod 2) + 2)) <= 0 then 1 else x)))
A266786: 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((2 + 2) + 1) * x))
A016858: 0 9765625 10000000000 576650390625 10240000000000 95367431640625 590490000000000 2758547353515625 10485760000000000 34050628916015625 97656250000000000 253295162119140625 604661760000000000 1346274334462890625 2824752490000000000
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((2 + 2) + 1) * x))
A016860: 0 244140625 1000000000000 129746337890625 4096000000000000 59604644775390625 531441000000000000 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then ((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 2) else 1) + x)
A140524: 2 2 6 4 10 6 14 8 12 10 22 12 26 14 18 16
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * 2) + 1)),x)
A153052: 2 5 8 10 11 14 15 17 20 22 23 25 26 29 30 32
(if x <= 0 then 1 else ((if (x mod ((2 + 1) * 2)) <= 0 then ((x div 2) - 2) else 1) * x))
A219209: 1 1 2 3 4 5 6 7 8 9 10 11 48 13 14 15
loop(\(x,i).(if x <= 0 then 1 else ((((x * x) - 1) * x) div 2)),1,((2 + 1) * x))
A157024: 1 12 105 360 858 1680 2907 4620 6900 9828 13485 17952 23310 29640 37023 45540
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((2 + 1) * x))
A016775: 0 177147 362797056 31381059609 743008370688 8649755859375 64268410079232 350277500542221 1521681143169024 5559060566555523 17714700000000000 50542106513726817 131621703842267136 317475837322472439 717368321110468608
loop(\(x,i).loop(\(x,i).((2 + 1) * x),x,(x + 1)),1,((x div (2 + 1)) + x))
A164985: 1 6 27 405 1458 5103 59049 196830 649539 6908733 22320522 71744535 731794257 2324522934 7360989291 73222472421
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x div (2 + 1))),x)
A196747: 0 1 2 6 7 8 18 19 20 24 25 26 54 55 56 60
compr(\x.(loop(\(x,i).(x - (if (i - x) <= 0 then (i * 2) else 0)),x,x) + (2 + 1)),x)
A217570: 9 16 17 25 26 27 36 37 38 39 49 50 51 52 53 64
(loop(\(x,i).(loop(\(x,i).(i * x),x,1) + ((x * 2) * 2)),(x - 2),1) + x)
A131959: 1 2 3 8
A112237: 1 2 3 8 144 4611686018427387903
(loop(\(x,i).((if (((x div 2) - 2) - 2) <= 0 then 1 else 0) + x),(x - 2),1) + x)
A153809: 1 2 3 5 7 9 11 13 15 17 19 21 22 23 24 25
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 2),x,((x * 2) + 1)),x)
A153053: 1 4 7 9 10 13 14 16 19 21 22 24 25 28 29 31
((if x <= 0 then 2 else loop(\(x,i).(((x * 2) - (i mod 2)) * 2),(x div 2),1)) + x)
A302400: 2 2 4 5 12 13 36 37
compr(\x.loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,((x div 2) + 1)),x)
A081706: 2 3 10 11 14 15 18 19 26 27 34 35 42 43 46 47
((loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,i),x,2) - 1) + x)
A097911: 1 3 5 8
A232896: 1 3 5 8 12 18 27 41 63 98 154 244 389 623 1001 1612
loop(\(x,i).(if x <= 0 then 1 else ((x - (x div (0 - 2))) * 2)),(x - 1),(1 - x))
A326339: 1 0 1 4 12 36 108 324
compr(\x.((x div 2) mod 2),loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)))
A104571: 1 4 1 5 4 1 8 5 4 1 9 8 5 4 1 12
loop(\(x,i).(((((x mod 2) + 2) * 2) + 1) * (if x <= 0 then 1 else x)),x,(1 - x))
A083224: 1 5 49 245 2401 12005 117649 588245 5764801 28824005 282475249 1412376245 13841287201 69206436005 678223072849 3391115364245
compr(\x.(loop(\(x,i).(x div (if (x mod 2) <= 0 then (2 + 2) else 1)),(2 + 1),x) - 1),x)
A227992: 0 1 2 4 6 8 10 16 18 24 26 32 34 40 42 64
(if x <= 0 then 1 else ((((x mod ((2 + 2) * 2)) mod (if x <= 0 then 1 else x)) + 1) * x))
A114799: 1 1 2 3 4 5 6 7 8 18 30 44 60 78 98 120
compr(\x.(loop(\(x,i).(x - (if (x mod 2) <= 0 then i else 1)),(x div (2 + 2)),x) + 1),x)
A327374: 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71
((if (x div (2 + 2)) <= 0 then 1 else (if (x mod ((x mod 2) + 2)) <= 0 then x else 1)) * x)
A103390: 0 1 2 3 16 5 36 7 64 81 100 11 144 13 196 225
compr(\x.(loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x) + 1),x)
A002145: 3 7 11 19 23 31 43 47 59 67 71 79 83 103 107 127
(loop(\(x,i).(x * x),1,loop(\(x,i).((2 + 1) * x),(x + 1),(x + 1))) * x)
A128992: 0 324 13122 314928 5904900 95659380 1406192886 19284931008 251048476872 3138105960900 37971082126890 447368385785904 5154903899851212 58290067175240628 648557066098144350
((if x <= 0 then 2 else loop(\(x,i).(x - (x div (2 + 2))),(2 + 2),(x + 1))) + x)
A285980: 2 3 5 6 7 8 9 10 12 13 15 16 17 19 20 21
(loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1)) * x)
A013636: 0 2 6 15 20 35 42 77 88 99 110 143 156 221 238 255
(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x)
A265331-A001511: 1 2 1 3 1 2 1 4 1 2 1 3 1 2 1 5
compr(\x.(loop(\(x,i).(x - ((if x <= 0 then 2 else (i * 2)) - 1)),x,x) + (x + 1)),x)
A189151: 5 10 11 17 18 19 26 27 28 29 37 38 39 40 41 50
(loop(\(x,i).((2 + 1) * x),(x - 1),x) - loop(\(x,i).(x * 2),(x - 1),x))
A344215: 0 0 2 15 76 325 1266 4655 16472 56745 191710 638275 2101188 6855485 22205834 71498775
(loop(\(x,i).((((i * 2) + 1) * x) * 2),(x - 1),1) div (if x <= 0 then 1 else x))
A006963: 1 1 3 20 210 3024 55440 1235520 32432400 980179200 33522128640 1279935820800 53970627110400 2490952020480000 124903451312640000 4611686018427387903
((((if x <= 0 then 2 else ((x * x) * (x * x))) * 2) + 1) div (if x <= 0 then 1 else x))
A184537: 5 3 16 54 128 250 432 686 1024 1458 2000 2662 3456 4394 5488 6750
(loop(\(x,i).(((x * x) * 2) * (2 + 1)),(2 + 1),x) div (if x <= 0 then 1 else x))
A016915: 0 279936 35831808 612220032 4586471424 21870000000 78364164096 230539333248 587068342272 1338925209984 2799360000000 5455160701056 10030613004288 17565568854912 29509034655744
(loop(\(x,i).(((x * x) * (2 + 2)) * 2),(2 + 1),x) div (if x <= 0 then 1 else x))
A017071: 0 2097152 268435456 4586471424 34359738368 163840000000 587068342272 1727094849536 4398046511104 10030613004288 20971520000000 40867559636992 75144747810816 131593177923584
(loop(\(x,i).((((2 + 2) + 1) * x) * x),(2 + 1),x) div (if x <= 0 then 1 else x))
A016855: 0 78125 10000000 170859375 1280000000 6103515625 21870000000 64339296875 163840000000 373669453125 781250000000 1522435234375 2799360000000 4902227890625 8235430000000 13348388671875
(loop(\(x,i).(loop(\(x,i).(i - ((i + 1) mod (x + 1))),i,0) + x),x,1) + x)
A342474: 1 3 5 9 13 17
A063915: 1 3 5 9 13 17 21 29 37 45 53 61 69 77 85 101
((compr(\x.(loop(\(x,i).((x - 1) * 2),x,1) mod (if x <= 0 then 1 else x)),x) + 1) + x)
A173137: 1 3 5 7 10 13 18 21 26 29 34 41 44 51 56 59
(loop(\(x,i).(loop(\(x,i).(((i div 2) + i) + x),(i + 1),2) + x),x,1) + x)
A289877: 1 8 19 36 60 93 136 191 259 342 441 558 694 851 1030 1233
(loop(\(x,i).((loop(\(x,i).(x div ((x mod 2) + 1)),x,i) div 2) + x),x,1) + x)
A191535-A100598: 1 2 4 5 8 10
A174989: 1 2 4 5 8 10 14 15 20 23 29 31 38 42 50 51
(loop(\(x,i).(loop(\(x,i).((x div ((i * 2) - 1)) + x),x,i) + x),x,1) + x)
A099074: 1 4 11 24 43 70 109 158 221 300 391 500 633 780 961 1168
(if x <= 0 then 1 else ((if ((x div (2 + 1)) - 2) <= 0 then (2 + 1) else (0 - 2)) + x))
A178052: 1 4 5 6 7 8 9 10 11 7 8 9 10 11 12 13
compr(\x.(loop(\(x,i).(x div 2),x,loop(\(x,i).(((2 + 1) * x) + 2),x,0)) mod 2),x)
A073634: 0 2 9 11 13 16 19 23 24 26 28 29 31 36 37 39
((x + 1) - loop(\(x,i).((if x <= 0 then 1 else x) - (((2 + 2) * 2) + 1)),2,x))
A168099: 9 10 11 12 13 14 15 16 17 18 19 19 19 19 19 19
(((loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1) * (2 + 1)) div 2) - x)
A337909: 1 2 4 3 8 7 6 5 16 15 14 13 12 11 10 9
(if x <= 0 then 1 else loop(\(x,i).(x - (x div (((0 - 2) - 2) * (2 + 1)))),2,x))
A194378: 1 3 4 5 6 7 8 9 10 11 12 13 15 17 18 19
loop(\(x,i).(x - ((if (x mod (2 + 1)) <= 0 then x else (1 - x)) div (2 + 1))),2,x)
A295484: 0 1 2 3 7
A168222: 0 1 2 3 7 9 5 6 15 4 17 10 11 23 25 13
((loop(\(x,i).(i * x),x,(loop(\(x,i).(i * x),x,(x + 2)) + 1)) div 2) * x)
A294193: 0 2 18 279 6960 252300 12443760 800168040 65028257280 6518255405760 790091384544000 113924591159702400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(loop(\(x,i).i,(loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2),1) mod 2),x)
A225836: 5 9 10 13 17 18 20 21 25 26 29 33 34 36 37 40
loop(\(x,i).(x div (2 - (x mod 2))),x,((loop(\(x,i).(x * 2),x,1) div 2) + x))
A271573: 0 1 1 7 3 21 19 71 17 265 261 1035 515 4109 4103 16399
loop(\(x,i).(2 - (loop(\(x,i).((0 - x) * (x * 2)),2,2) mod (x + 1))),2,x)
A092505: 1 1 2 1 2 2 2 1 2 2 2 2 2 4 2 1
((if (x - 2) <= 0 then 1 else ((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) + 2)) + x)
A022306: 1 2 3 5 6 7 8 9 10 11 12 13 16 17 18 19
loop(\(x,i).((((x * x) * x) div ((2 + 2) * 2)) + (if x <= 0 then 1 else 2)),2,x)
A218086: 2 3 5 17 127
loop(\(x,i).(if x <= 0 then 1 else ((x - ((((x + 1) div 2) div 2) div 2)) + 2)),2,x)
A196008: 3 5 6 7 8 8 9 9 10 11 12 13 14 15 15 15
loop(\(x,i).((if x <= 0 then 1 else x) - (x div (((2 + 1) * 2) + 1))),(2 + 2),x)
A071640: 1 1 2 3 4 5 6 6 6 6 6 7 8 9 9 10
(loop(\(x,i).((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1),(x - 2),2) + x)
A341016: 2 3 4 6 8 10 12 16 20 24 28 32 36 40 44 48
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x)
A005099: 1 2 3 5 6 8 11 12 15 17 18 20 21 26 27 32
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * 2) * 2)),x)
A083097-A083095: 0 2 5 6 14 15 18 20 41 42 45 47 54 56 59 60
compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,((x * 2) * 2)),x)
A045751: 0 2 5 6 8 11 12 14 16 17 19 20 21 23 26 29
(((x - loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,(x * 2))) div 2) + x)
A128217: 0 1 4 5 8 9 10 15 16 17 18 23 24 25 26 27
compr(\x.(((if x <= 0 then 1 else x) * 2) mod loop(\(x,i).(x * x),2,((x mod 2) + 2))),x)
A185359: 8 16 24 32 40 48 56 64 72 80 81 88 96 104 112 120
loop(\(x,i).(((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else 2) + 1) * x),2,x)
A109050: 0 9 18 9 36 45 18 63 72 9 90 99 36 117 126 45
loop(\(x,i).loop(\(x,i).((x div (((2 + 2) * (i + 1)) - 1)) + x),2,x),2,x)
A277025: 0 1 2 3 4 5 6 9 10 12 14 15 17 18 20 21
loop(\(x,i).(if x <= 0 then 1 else (((((x - 1) div (2 + 1)) * i) div 2) + x)),2,x)
A076144: 1 1 2 3 5 6 7 10 11 13 14 15 17 19 21 22
(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 1) + x),(x - 2),(x + 2)) - x)
A007918: 2 2 2 3 5 5 7 7 11 11 11 11 13 13 17 17
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,((x + 2) * x))
A144454: 0 1 8 5 8 35 16 7 80 11 40 143 56 65 224 85
loop(\(x,i).(if x <= 0 then 1 else (((x mod 2) + x) * (2 + 1))),2,((x + 2) * x))
A208064: 6 36 72 144 216 324 432 576 720 900 1080 1296 1512 1764 2016 2304
(if (x - 2) <= 0 then 0 else loop(\(x,i).((((i * 2) - 1) * x) * 2),(x - 2),x))
A052711: 0 0 0 6 48 600 10080 211680 5322240 155675520 5189184000 194075481600 8045310873600 366061644748800 18134130709094400 971471287987200000
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),(1 - (x * 2))),x)
A111333: 1 2 3 4 6 7 9 10 12 15 16 19 21 22 24 27
(loop(\(x,i).(((if (i mod 2) <= 0 then 1 else x) * ((i * 2) + 1)) + x),x,2) - x)
A135066: 2 7 11 101
compr(\x.loop(\(x,i).loop(\(x,i).(0 - x),((2 + 1) * x),((i - 1) - x)),x,2),x)
A231407: 1 4 6
A003662: 1 4 6 8 11 13 16 18 23 25 28 30 35 37 40 42
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * x) + 2))),x)
A088110: 0 1 3 9
A067201: 0 1 3 9 15 21 33 39 45 57 81 99 105 111 117 123
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + loop(\(x,i).((x * x) * x),2,x))
A185277: 1 10 593 20412 268705 2012174 10609137 45136576 177264449 774840978 4486784401 33739007300 287589316833 2552470327702 22897453501745 205929575454024
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((x * x) * x),2,x))
A024110: 1 8 ~431 ~18954 ~255583 ~1894076 ~9546255 ~35570638 ~91171007 0 2486784401 29023111918 277269756129 2531261328956 22856131408177 205852688735274
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024071: 1 5 ~476 ~19467 ~260848 ~1945349 ~10031040 ~40073671 ~132538112 ~377342793 ~939533824 ~1995150635 ~2982998016 2456194643 57703117312 431741625201
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024097: 1 7 ~448 ~19171 ~258048 ~1920357 ~9815552 ~38256455 ~117440512 ~253202761 73741824 6231986901 63559696384 539151314515 4377385464320 35145928729457
(loop(\(x,i).((x * x) * x),2,(x + 1)) + loop(\(x,i).((x * x) * x),2,x))
A036087: 1 513 20195 281827 2215269 12030821 50431303 174571335 521638217 1387420489 3357947691 7517728043 15764279725 31265546157 59104406159 107162836111
(loop(\(x,i).((x * x) * x),2,(x + 1)) - loop(\(x,i).((x * x) * x),2,x))
A022525: 1 511 19171 242461 1690981 8124571 30275911 93864121 253202761 612579511 1357947691 2801832661 5444719021 10056547411 17782312591 30276117361
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024058: 1 4 ~487 ~19558 ~261519 ~1950000 ~10062071 ~40275482 ~133827103 ~385467364 ~990234375 ~2309119566 ~4915639727 ~9383796248 ~14557531159 ~7925781250
compr(\x.loop(\(x,i).(if x <= 0 then (((i * 2) + x) - 1) else 0),(x * 2),(0 - x)),x)
A280682: 0 4 5 6 7 8 16 17 18 19 20 21 22 23 24 36
compr(\x.(loop(\(x,i).((x + 1) - ((if x <= 0 then 0 else i) * 2)),(x - 1),1) + x),x)
A244216: 4 10 11 12 13 28 29 30 31 32 33 34 35 36 37 38
loop(\(x,i).(if ((x mod (2 + 1)) div 2) <= 0 then x else ((x + 1) div (2 + 1))),x,x)
A286577: 0 1 1 3 4 1 6 7 3 9 10 4 12 13 1 15
loop(\(x,i).((x * x) * x),1,((loop(\(x,i).(x * x),2,(2 + 1)) * x) * x))
A017166: 0 531441 34012224 387420489 2176782336 8303765625 24794911296 62523502209 139314069504 282429536481 531441000000 941480149401 1586874322944 2565164201769 4001504141376 6053445140625
(compr(\x.loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),x) - x)
A163301: 1 3 5 7 8 8 10 10 11 13 14 14 15 15 17 17
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x - 1),x) * x)
A037966: 0 1 8 54 320 1750 9072 45276 219648 1042470 4862000 22355476 101582208 457002364 2038517600 9026235000
loop(\(x,i).(((i * x) * 2) - loop(\(x,i).(((i * 2) - 1) * x),i,1)),x,x)
A035101: 0 1 9 87 975 12645 187425 3133935 58437855 1203216525 27125492625 664761133575 17600023616175 500706514833525 15234653491682625 493699195087473375
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),((x div 2) - 2),x)),x)
A046022: 1 2 3 4 5 7 11 13 17 19 23 29 31 37 41 43
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),((x div 2) - 2),x)),x)
A175787: 2 3 4 5 7 11 13 17 19 23 29 31 37 41 43 47
(loop(\(x,i).(((x - (if ((x div 2) - 2) <= 0 then 0 else 1)) mod 2) + x),2,x) - x)
A307198: 0 1 0 1 0 2 1 0 1 0 1 0 1 0 1 0
((if x <= 0 then 1 else loop(\(x,i).(0 - ((x div ((i + 2) + 2)) + x)),2,x)) + x)
A072154: 1 3 5 7 9 12 15 17 19 21 24 27 29 31 33 36
compr(\x.(1 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x)
A280084: 1 5 13 17 29 37 41 53 61 73 89 97 101 109 113 137
compr(\x.(2 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x)
A175768-A002144: 5 13 17 29 37 41 53 61 73 89 97 101 109 113 137 149
(loop(\(x,i).((x * 2) * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024046: 1 3 ~1008 ~58985 ~1048320 ~9764601 ~60462080 ~282458865 ~1073676288 ~3486522257 ~9998951424 ~25933230297 ~61900587008 ~137791382985 ~288986219520 ~575576648801
(loop(\(x,i).((2 + 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024033: 1 2 ~1015 ~59022 ~1048495 ~9765382 ~60465447 ~282473062 ~1073735263 ~3486764718 ~9999940951 ~25937247454 ~61916832783 ~137856897526 ~289249872007 ~576636041718
((loop(\(x,i).(x - i),x,loop(\(x,i).((2 + 1) * x),x,1)) - 1) - (x * x))
A061983: 0 0 1 11 54 202 671 2109 6460 19556 58893 176959 531218 1594062 4782667 14348561
loop(\(x,i).loop(\(x,i).((x * x) * x),i,(x div (2 + 1))),(x - 1),(x * x))
A058125: 0 1 1 387420489 4611686018427387903
(loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) - (x * x))
A027966: 1 4 11 26 54 101 174 281 431 634 901 1244 1676 2211 2864 3651
(loop(\(x,i).(loop(\(x,i).(((i + 2) * i) + x),i,1) + x),x,2) - (x * x))
A201371: 2 5 14 36 80 157 280 464 726 1085 1562 2180 2964 3941 5140 6592
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(x * x),2,(x * x)))
A024109: 1 8 ~175 ~5832 ~58975 ~331576 ~1148175 ~981832 26269505 344373768 3386784401 31166700728 281999554785 2541050097608 22875316665905 205888569204024
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024070: 1 5 ~220 ~6345 ~64240 ~382849 ~1632960 ~5484865 ~15097600 ~32969025 ~39533824 148438175 1746800640 12244963295 76888375040 467622093951
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).(x * x),2,(x * x)))
A198401: 1 9 320 7073 69632 423393 1941760 7861953 33554432 177264449 1173741824 8804293473 69149458432 550571544609 4399522300160 35186934979457
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024096: 1 7 ~192 ~6049 ~61440 ~357857 ~1417472 ~3667649 0 91171007 973741824 8375575711 68289495040 548940083167 4396570722048 35181809198207
(loop(\(x,i).(x * x),(2 + 1),(x + 1)) + loop(\(x,i).(x * x),2,(x * x)))
A036086: 1 257 6817 72097 456161 2070241 7444417 22542017 59823937 143046721 314358881 644340577 1245712417 2291519777 4038679681 6857857921
(loop(\(x,i).(x * x),(2 + 1),(x + 1)) - loop(\(x,i).(x * x),2,(x * x)))
A022524: 1 255 6305 58975 325089 1288991 4085185 11012415 26269505 56953279 114358881 215622815 385749025 660058335 1087101569 1732076671
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024057: 1 4 ~231 ~6436 ~64911 ~387500 ~1663991 ~5686676 ~16386591 ~41093596 ~90234375 ~165530756 ~185841071 404972404 4627726569 27954687500
(loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024021: 1 1 ~2044 ~177139 ~4194288 ~48828093 ~362796992 ~1977326615 ~8589934336 ~31381059097 ~99999998976 ~285311668563 ~743008366592 ~1792160385845 ~4049565153280 ~8649755826607
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) * (x * x))
A005429: 0 2 48 540 4480 31500 199584 1177176 6589440 35443980 184756000 938929992 4672781568 22850118200 110079950400 523521630000
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),(0 - x)),x) - x)
A073170: 0 0 1 2 3 6 7 10 11 14 19 20 25 28 29 32
compr(\x.loop(\(x,i).(x - (if ((x + 2) mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x)
A105760: 0 2 3 5 6 8 11 12 15 17 18 20 23 26 27 30
(loop(\(x,i).loop(\(x,i).((x * 2) div (i + 1)),x,((i * 2) + 1)),x,x) - x)
A296064: 0 2 1 ~3 5 ~5 7 ~7 9 ~9 11 ~11 13 ~13 15 ~15
compr(\x.loop(\(x,i).(if ((x - 1) mod (2 + 2)) <= 0 then x else (x div (2 + 2))),x,x),x)
A023709: 0 2 3 8 10 11 12 14 15 32 34 35 40 42 43 44
compr(\x.((2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)) * x),x)
A182986: 0 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
compr(\x.loop(\(x,i).(if (((x div 2) + x) mod (2 + 2)) <= 0 then x else (x div 2)),x,x),x)
A086638: 0 1 2 4 5 9 10 18 20 21 36 37 41 42 73 74
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024048: 1 3 ~4080 ~531377 ~16776960 ~244139601 ~2176778240 ~13841270817 ~68719411200 ~282429274337 ~999998951424 ~3138424182417 ~8916083671040 ~23298018013617 ~56693643939840 ~129745264148801
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024035: 1 2 ~4087 ~531414 ~16777135 ~244140382 ~2176781607 ~13841285014 ~68719470175 ~282429516798 ~999999940951 ~3138428199574 ~8916099916815 ~23298083528158 ~56693907592327 ~129746323541718
compr(\x.(x - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * x))),x)
A049422: 0 2 4 8 10 14 22 28 38 50 52 62 64 70 74 76
(loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) - 1),x,(x * x)) + x)
A159918: 0 1 1 2 1 3 2 3 1 3 3 5 2 4 3 4
compr(\x.(1 - loop(\(x,i).(if (x mod ((i * 2) + 1)) <= 0 then x else (0 - x)),x,x)),x)
A053868: 2 3 4 5 7 8 11 13 15 16 17 18 19 21 23 27
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) - x)
A008507: 0 0 0 1 1 2 2 3 5 5 7 8 8 9 11 13
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),x,x)
A007504: 0 2 5 10 17 28 41 58 77 100 129 160 197 238 281 328
((x div 2) - (if (2 - (x mod (((2 + 2) * (2 + 1)) + 1))) <= 0 then 1 else 0))
A007963: 0 0 0 0 1 1 2 2 3 3 4 4 5 6 7 6
(if (x mod (((((x * x) div 2) mod ((2 + 2) + 1)) * 2) - 1)) <= 0 then 1 else 0)
A263428: 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1
(if (x mod ((((x - (x div (2 + 1))) mod (2 + 1)) * 2) + 1)) <= 0 then 1 else 0)
A266444: 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1
(if (((x + 2) * x) mod ((((1 - x) mod (2 + 2)) * 2) + 1)) <= 0 then 1 else 0)
A341603: 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1
(if (((x + 1) * 2) mod (2 - ((2 - x) div ((2 + 2) + 1)))) <= 0 then 1 else 0)
A115512: 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0
(((x + 2) * 2) - (if ((x * 2) mod (((x + 2) + 2) + 1)) <= 0 then 1 else 0))
A258050: 3 6 8 10 12 13 16 18 20 22 24 26 28 30 32 34
(if ((x * 2) mod ((((x - 1) * 2) mod ((x div 2) + 2)) + 1)) <= 0 then 1 else 0)
A279733: 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1
(if ((x - (((x * x) div 2) div ((2 + 2) + 1))) mod (2 + 1)) <= 0 then 1 else 0)
A285427: 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0
(if ((((x - 2) * x) mod (((x + 2) + 2) + 1)) mod (2 + 1)) <= 0 then 1 else 0)
A145377: 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1
(if (((((x * x) div 2) * (x + 2)) div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 0)
A331238: 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0
(if (2 - x) <= 0 then (((x - ((x div 2) mod (2 + 1))) div (2 + 1)) + 1) else 0)
A131808: 0 0 1 1 1 2 3 3 3 3 3 4 5 5 5 5
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then (((x + 2) div (2 + 1)) + 1) else 0)
A340977: 1 0 0 0 0 0 0 4 0 0 0 0 0 0 6 0
((((x div 2) - (x div (2 + 1))) div 2) + (if (x mod (2 + 1)) <= 0 then 1 else 0))
A029320: 1 0 0 1 0 0 1 0 1 1 1 1 2 1 1 2
(if ((((x * x) + 2) mod ((2 + 1) * 2)) mod ((x div 2) + 1)) <= 0 then 1 else 0)
A189222: 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0
(if (x mod ((((((2 + 2) * 2) * 2) * 2) - 1) div (x + 1))) <= 0 then 1 else 0)
A025893: 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1
(if ((x mod 2) - ((((x + 2) mod ((2 + 2) + 1)) - 1) div 2)) <= 0 then 1 else 0)
A092079-A092078: 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0
(if ((((((x - 1) div 2) mod 2) - x) mod ((2 + 2) + 1)) div 2) <= 0 then 1 else 0)
A025892: 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1
(if ((x mod (2 + 1)) - (1 - ((x mod ((2 + 2) + 1)) div 2))) <= 0 then 1 else 0)
A261430: 1 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1
(if (x mod (2 + 2)) <= 0 then (((x div 2) + 1) mod (((2 + 1) * 2) + 1)) else 0)
A118112: 1 0 0 0 3 0 0 0 5 0 0 0 0 0 0 0
(if ((((((x mod 2) + 2) * 2) * 2) mod ((x div 2) + 1)) div 2) <= 0 then 1 else 0)
A330986: 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0
(if (2 - x) <= 0 then (((x * 2) - ((x - 2) mod ((2 + 2) * 2))) - 1) else 0)
A137937: 0 0 3 4 5 6 7 8 9 10 19 20 21 22 23 24
(x - ((x div ((2 + 2) + 1)) - (if ((x div (2 + 2)) - 2) <= 0 then 1 else 0)))
A172103: 1 2 3 4 5 5 6 7 8 9 9 10 10 11 12 12
(if ((x div (2 + 1)) - 2) <= 0 then ((x mod (((x mod 2) - 2) * 2)) + 1) else 0)
A014389-A014349-A014269-A014229: 1 0 ~1 0 1 0 ~1 0 1 0 0 0 0 0 0 0
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then (x - (((x mod 2) * 2) - 1)) else 0)
A340979: 1 0 0 0 0 0 0 6 0 0 0 0 0 0 15 0
((x mod 2) - (if (x mod (2 + 2)) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0))
A088705: 0 1 0 1 ~1 1 0 1 ~2 1 0 1 ~1 1 0 1
(if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then ((x + 2) div (2 + 1)) else 0)
A037213: 0 1 0 0 2 0 0 0 0 3 0 0 0 0 0 0
(((x + 2) * 2) - (if ((((2 + 2) * 2) * 2) mod (x + 2)) <= 0 then 1 else 0))
A096604: 3 6 7 10 12 14 15 18 20 22 24 26 28 30 31 34
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then ((x div 2) + 1) else 0)
A102389: 1 0 0 2 0 3 4 0 0 5 6 0 7 0 0 8
(if ((x + 2) mod ((2 + 2) * (2 + 1))) <= 0 then (((x + 2) * x) + 1) else 0)
A106547: 0 0 0 0 0 0 0 0 0 0 121 0 0 0 0 0
loop(\(x,i).(((((i mod 2) + x) + ((x * 2) * 2)) * 2) + 1),(x + 1),0)
A037589: 3 31 313 3131 31313 313131 3131313 31313131 313131313 3131313131 31313131313 313131313131 3131313131313 31313131313131 313131313131313 3131313131313131
loop(\(x,i).(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))),(x + 1),0)
A268839: 9 108 1197 13176 144945 1594404 17538453 192922992 2122152921 23343682140 256780503549 2824585539048 31070440929537 341774850224916 3759523352474085 41354756877214944
(if (((((x + 2) * x) div 2) div ((2 + 2) + 1)) mod 2) <= 0 then (x + 1) else 0)
A175880: 1 2 3 0 5 0 7 8 9 0 11 12 13 0 15 0
loop(\(x,i).((((((x * 2) * 2) + (i mod 2)) * 2) + 1) + x),(x + 1),0)
A037588: 3 28 255 2296 20667 186004 1674039 15066352 135597171 1220374540 10983370863 98850337768 889653039915 8006877359236 72061896233127 648557066098144
loop(\(x,i).(((((x + 2) + 1) * (2 + 1)) * (2 + 1)) + x),(x + 1),0)
A083813: 27 297 2997 29997 299997 2999997 29999997 299999997 2999999997 29999999997 299999999997 2999999999997 29999999999997 299999999999997
loop(\(x,i).(((((i * i) * (i + 1)) * (i + 1)) div 2) + x),(x + 1),0)
A086755: 2 20 92 292 742 1624 3192 5784 9834 15884 24596 36764 53326 75376 104176 141168
loop(\(x,i).((((((i + 2) * i) div 2) * (i + 1)) div 2) + x),(x + 1),0)
A233329: 1 7 21 51 102 186 310 490 735 1065 1491 2037 2716 3556 4572 5796
(((((((2 + 2) + 1) * x) + 1) * 2) * (2 + 1)) + (if x <= 0 then 1 else 0))
A063168: 7 36 66 96 126 156 186 216 246 276 306 336 366 396 426 456
(((((2 + 2) * (x + 1)) * (x + 1)) * (x + 1)) + (if x <= 0 then 1 else 0))
A184536: 5 32 108 256 500 864 1372 2048 2916 4000 5324 6912 8788 10976 13500 16384
((((((((x * 2) * 2) + 1) * 2) * 2) + 1) * 2) + (if x <= 0 then 1 else 0))
A063152: 11 42 74 106 138 170 202 234 266 298 330 362 394 426 458 490
((((((2 + 1) * x) + 2) + (x div (2 + 1))) * 2) - (if x <= 0 then 1 else 0))
A063209: 3 10 16 24 30 36 44 50 56 64 70 76 84 90 96 104
((x mod 2) - (1 - (if (x mod ((x mod ((2 + 2) * 2)) + 1)) <= 0 then 2 else 0)))
A166698: 1 0 ~1 0 ~1 0 ~1 0 1 0 ~1 0 ~1 0 1 0
(1 - (if ((x mod ((x div ((2 + 2) + 1)) + 2)) mod (2 + 1)) <= 0 then 2 else 0))
A098417: ~1 1 ~1 1 ~1 1 ~1 1 1 ~1 1 ~1 ~1 1 1 ~1
(1 - (if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 1) * 2) else 0))
A291578: 1 1 1 1 1 1 ~5 1 1 1 1 1 1 ~5 1 1
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i mod 2)),((x + 1) * 2),0)
A163662: 10 1010 101010 10101010 1010101010 101010101010 10101010101010 1010101010101010 101010101010101010 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - (if (((x div (2 + 2)) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0))
A209661: 1 1 1 1 ~1 1 1 1 1 ~1 1 1 ~1 1 ~1 1
(x div (2 - ((x mod 2) - (if (x mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0))))
A106611: 0 1 1 3 2 1 3 7 4 9 1 11 6 13 7 3
(if (x mod (2 + 1)) <= 0 then (((((x div 2) - 1) div 2) mod 2) - (x mod 2)) else 0)
A014207-A014135: 1 0 0 ~1 0 0 1 0 0 0 0 0 0 0 0 0
loop(\(x,i).(((((2 + 2) + 1) * x) * (((2 + 1) * 2) + 1)) + 1),x,0)
A240129: 0 1 36
A218738: 0 1 36 1261 44136 1544761 54066636 1892332261 66231629136 2318107019761 81133745691636 2839681099207261 99388838472254136 3478609346528894761 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)) + 1),x,0)
A218748: 0 1 46 2071 93196 4193821 188721946 8492487571 382161940696 17197287331321 773877929909446 34824506845925071 1567102808066628196 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) * ((2 + 2) + 1)) + 1),x,0)
A218752: 0 1 51 2551 127551 6377551 318877551 15943877551 797193877551 39859693877551 1992984693877551 99649234693877551 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * 2) + x) * 2) * ((2 + 2) + 1)) + 1),x,0)
A086580: 0 81 891 8991 89991 899991 8999991 89999991 899999991 8999999991 89999999991 899999999991 8999999999991 89999999999991 899999999999991 8999999999999991
loop(\(x,i).((((x * 2) * 2) + 1) mod (((2 + 2) * (2 + 1)) + 1)),x,0)
A021067: 0 1 5 8 7 3 0 1 5 8 7 3 0 1 5 8
loop(\(x,i).((((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)) + 1),x,0)
A218742: 0 1 40 1561 60880 2374321 92598520 3611342281 140842348960 5492851609441 214221212768200 8354627297959801 325830464620432240 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x + 2) + 2) + 2) + 1) * (((2 + 1) * 2) + 1)),x,0)
A168572: 0 49 392 2793 19600 137249 960792 6725593 47079200 329554449 2306881192 16148168393 113037178800 791260251649 5538821761592 38771752331193
loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * (((2 + 1) * 2) + 1)),x,0)
A271427: 0 7 42 301 2100 14707 102942 720601 5044200 35309407 247165842 1730160901 12111126300 84777884107 593445188742 4154116321201
loop(\(x,i).(x - ((((x - (((x * 2) * 2) * 2)) * 2) * 2) - 1)),x,0)
A218732: 0 1 30 871 25260 732541 21243690 616067011 17865943320 518112356281 15025258332150 435732491632351 12636242257338180 366451025462807221 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((x div ((x div (1 - ((2 + 2) * 2))) - 2)) - 1)),x,0)
A213706: 0 1 3 5 8 11 15 19 24 29 35 41 48 55 62 69
loop(\(x,i).(((((2 + 2) * 2) + x) + 1) * (((2 + 2) * 2) + 1)),x,0)
A247842: 0 81 810 7371 66420 597861 5380830 48427551 435848040 3922632441 35303692050 317733228531 2859599056860 25736391511821 231627523606470 2084647712458311
loop(\(x,i).((((((2 + 2) * 2) + x) + 1) * 2) * ((2 + 2) + 1)),x,0)
A124167: 0 90 990 9990 99990 999990 9999990 99999990 999999990 9999999990 99999999990 999999999990 9999999999990 99999999999990 999999999999990 9999999999999990
(((2 + 2) * 2) - loop(\(x,i).(((x - 1) * 2) * ((2 + 2) + 1)),x,0))
A173734: 8 18 118 1118 11118 111118 1111118 11111118 111111118 1111111118 11111111118 111111111118 1111111111118 11111111111118 111111111111118 1111111111111118
(1 - loop(\(x,i).(((x - ((2 + 1) * 2)) * 2) * ((2 + 2) + 1)),x,0))
A173805: 1 61 661 6661 66661 666661 6666661 66666661 666666661 6666666661 66666666661 666666666661 6666666666661 66666666666661 666666666666661 6666666666666661
(1 - loop(\(x,i).(((x - ((2 + 2) * 2)) * 2) * ((2 + 2) + 1)),x,0))
A173810: 1 81 881 8881 88881 888881 8888881 88888881 888888881 8888888881 88888888881 888888888881 8888888888881 88888888888881 888888888888881 8888888888888881
loop(\(x,i).((((((2 + 2) * 2) + x) + 2) * 2) * ((2 + 2) + 1)),x,0)
A124166: 0 100 1100 11100 111100 1111100 11111100 111111100 1111111100 11111111100 111111111100 1111111111100 11111111111100 111111111111100 1111111111111100 11111111111111100
loop(\(x,i).((((((2 + 2) * (2 + 1)) - 1) * x) * (2 + 2)) + 1),x,0)
A218747: 0 1 45 1981 87165 3835261 168751485 7425065341 326702875005 14374926500221 632496766009725 27829857704427901 1224513738994827645 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (x - (((((x * 2) * 2) * 2) * 2) * (2 + 1)))),x,0)
A218750: 0 1 48 2257 106080 4985761 234330768 11013546097 517636666560 24328923328321 1143459396431088 53742591632261137 2525901806716273440 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * 2) + 1),x,0)
A218749: 0 1 47 2163 99499 4576955 210539931 9684836827 445502494043 20493114725979 942683277395035 43363430760171611 1994717814967894107 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x div ((x mod (((2 + 1) * 2) + 1)) + 1)) + x) + 1),x,0)
A165804: 0 1 2 3 4 5 6 7 15 23 31 39 47 55 63 127
loop(\(x,i).((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x) + 1),x,0)
A218744: 0 1 42 1723 70644 2896405 118752606 4868856847 199623130728 8184548359849 335566482753810 13758225792906211 564087257509154652 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x) + 1),x,0)
A218740: 0 1 38 1407 52060 1926221 71270178 2636996587 97568873720 3610048327641 133571788122718 4942156160540567 182859777940000980 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) + 1),x,0)
A218753: 0 1 50 2451 120100 5884901 288360150 14129647351 692352720200 33925283289801 1662338881200250 81454605178812251 3991275653761800300 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * x) div (2 + 1)) div ((x + 2) + 1)) + x) + 1),x,0)
A067570: 0 1 2 3 4 5 7
A117598: 0 1 2 3 4 5 7 9 12 16 21 28 37 49 65 86
loop(\(x,i).(((x div ((x div (((2 + 1) * 2) + 1)) + 2)) + x) + 1),x,0)
A088236: 0 1 2 4 7 10 14 18 23 28 33 39 45 51 57 63
loop(\(x,i).((((((x div 2) + x) + (x * 2)) * 2) * 2) + (x + 1)),x,0)
A239284: 0 1 14 211 3164 47461 711914 10678711 160180664 2402709961 36040649414 540609741211 8109146118164 121637191772461 1824557876586914 27368368148803711
((x * 2) - loop(\(x,i).((x - ((x div ((2 + 2) + 1)) mod 2)) + 2),x,0))
A072229: 0 0 0 0 1 2 3 4 4 4 4 5 6 7 8 8
loop(\(x,i).(x - (((x mod ((x mod ((2 + 2) + 1)) + 2)) mod 2) - 2)),x,0)
A247875: 0 2 4 6 8 9 10 12 14 16 17 18 19 20 22 24
(x - loop(\(x,i).((i div 2) - (x - (((x div 2) + x) div (2 + 2)))),x,0))
A129231: 0 1 1 3 2 5 3 6 5 7 7 8 8 10 9 12
(1 - loop(\(x,i).(x - ((((((2 + 2) * 2) * 2) * 2) - x) * 2)),x,0))
A036547: 1 65 257 833 2561 7745 23297 69953 209921 629825 1889537 5668673 17006081 51018305 153054977 459164993
loop(\(x,i).((((1 - ((i mod 2) * 2)) * i) * (i * i)) + (x * 2)),x,0)
A232604: 0 ~1 6 ~15 34 ~57 102 ~139 234 ~261 478 ~375 978 ~241 2262 1149
((((x div (2 + 1)) + 1) mod 2) - loop(\(x,i).((x * 2) - (i mod 2)),x,0))
A024494: 1 2 3 5 10 21 43 86 171 341 682 1365 2731 5462 10923 21845
loop(\(x,i).(((((((2 + 2) * 2) * (i - 1)) + 1) * i) * i) + x),x,0)
A172080: 0 1 37 190 590 1415 2891 5292 8940 14205 21505 31306 44122 60515 81095 106520
(if ((x + 2) mod ((2 - ((((x + 1) div 2) div 2) mod 2)) + 1)) <= 0 then 0 else 1)
A189295: 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1
((if (x mod 2) <= 0 then (((x + 1) div ((2 + 2) + 1)) mod (2 + 1)) else 0) + 1)
A175494: 1 1 1 1 2 1 2 1 2 1 3 1 3 1 1 1
(if ((x - ((0 - x) mod ((x div (2 + 2)) + 1))) mod (2 + 1)) <= 0 then 0 else 1)
A286400: 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1
(if (((((x * x) - 2) div (2 + 1)) div (2 + 1)) mod (2 + 1)) <= 0 then 0 else 1)
A267673: 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0
(loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 2),(x + 1),0) - 1)
A185127: 11 131 1331 13331 133331 1333331 13333331 133333331 1333333331 13333333331 133333333331 1333333333331 13333333333331 133333333333331 1333333333333331 13333333333333331
((if (x mod ((((x * x) + 2) mod ((x + 2) + 1)) + 1)) <= 0 then 2 else 0) + 1)
A095346: 3 1 3 1 1 1 3 1 3 1 1 1 3 1 1 1
((if (((((x div 2) + x) div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 1)
A115069: 1 1 1 1 1 1 3 1 1 1 1 1 3 3 1 1
((if ((x - (((x div 2) - 1) div 2)) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 1)
A326057: 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 1
((if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 1) * 2) else 0) + 1)
A268354: 1 1 1 1 1 1 7 1 1 1 1 1 1 7 1 1
(if ((x + 1) mod ((2 - ((x mod ((2 + 2) + 1)) div 2)) + 2)) <= 0 then 0 else 1)
A108788: 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0
((if (x mod 2) <= 0 then (x div ((x div ((x mod (2 + 1)) + 2)) + 2)) else 0) + 1)
A055399: 1 1 2 1 2 1 2 1 3 1 3 1 2 1 3 1
((if (((x div (2 + 2)) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0) + 1)
A256452: 1 1 1 1 3 1 1 1 1 3 1 1 3 1 3 1
((if ((((x - 1) div 2) * (x mod (2 + 1))) mod (2 + 2)) <= 0 then 2 else 0) - 1)
A155040: 1 1 1 1 ~1 1 1 ~1 ~1 1 1 ~1 1 ~1 1 1
((if ((((x + 1) div 2) div 2) mod 2) <= 0 then (x div ((2 + 2) * 2)) else 0) + 1)
A316894: 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2
((if ((x + 2) mod ((2 + 1) * 2)) <= 0 then ((x div 2) mod (2 + 2)) else 0) + 1)
A030381: 1 1 1 1 3 1 1 1 1 1 2 1 1 1 1 1
(((((2 + 1) * 2) + 1) * (x + 1)) + (if ((x div 2) - 2) <= 0 then 0 else 1))
A028437: 7 14 21 28 35 42 50 57 64 71 78 85 92 99 106 113
(((((2 + 2) * (2 + 1)) - 1) * x) + (if ((x div 2) - 2) <= 0 then 0 else 1))
A004940: 0 11 22 33 44 55 67 78 89 100 111 122 133 144 155 166
((if ((1 - x) mod (2 + 1)) <= 0 then (((x div (2 + 1)) + x) * 2) else 0) + 1)
A078688: 1 3 1 1 11 1 1 19 1 1 27 1 1 35 1 1
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i mod 2)),(x * 2),0) + 1)
A127961: 1 11 1011 101011 10101011 1010101011 101010101011 10101010101011 1010101010101011 101010101010101011 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x mod ((if (x mod (((x mod (2 + 2)) + 2) + 1)) <= 0 then (x div 2) else 0) + 1))
A055242-A055241: 0 0 0 0 0 0 0 0 0 0 4 0 5 0 0 0
(loop(\(x,i).((i + x) - (x mod (((2 + 2) * (2 + 1)) - 1))),x,0) + 1)
A032947: 1 2 3 4 5 6 7 8 9 10 11 12 24 36 48 60
((if ((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) <= 0 then x else 0) + 1)
A089026-A080305: 1 2 3 1 5 1 7 1 1 1 11 1 13 1 1 1
((if ((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) - 1) <= 0 then x else 0) + 1)
A100994: 1 2 3 4 5 1 7 8 9 1 11 1 13 1 1 16
((if (2 - ((x div 2) div (((x mod (2 + 2)) * 2) - 1))) <= 0 then x else 0) + 1)
A080304: 1 1 1 1 1 6 1 1 1 10 1 1 1 14 15 1
(loop(\(x,i).((x - ((x div (2 + 1)) mod (2 + 1))) + (2 + 1)),x,0) + 1)
A231407: 1 4 6
A104211: 1 4 6 8 9 10 13 15 17 18 19 22 24 26 27 28
(loop(\(x,i).(((((i div ((x mod 2) + 2)) + 1) + x) div 2) + 1),x,0) + 1)
A284359: 1 2 3 4 4 4 5 6 6 6 6 6 7 8 8 8
(((x * 2) + 1) div (loop(\(x,i).(i - ((i + 1) mod (x + 1))),x,0) + 1))
A194449: 1 1 2 1 2 2 3 1 2 2 2 2 3 3 3 1
(loop(\(x,i).((((((i * 2) - 1) * x) + 1) * 2) div (i + 1)),x,0) + 1)
A141351: 1 2 3 6 15 43 133 430 1431 4863 16797 58787 208013 742901 2674441 9694846
(loop(\(x,i).(((2 - x) mod ((((2 + 1) * 2) + 1) * 2)) * 2),x,0) + 1)
A070378: 1 5 25 13 9 17 1 5 25 13 9 17 1 5 25 13
(loop(\(x,i).((x - ((i mod 2) - (((x * 2) + 1) * 2))) * 2),x,0) + 1)
A099913: 1 3 25 243 2425 24243 242425 2424243 24242425 242424243 2424242425 24242424243 242424242425 2424242424243 24242424242425 242424242424243
(if (x - ((((x * x) + 1) * x) mod (((2 + 2) * 2) + x))) <= 0 then 0 else 1)
A024937: 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1
(loop(\(x,i).((i + x) - (((x * 2) div ((x div 2) + 2)) mod 2)),x,0) + 1)
A220315: 1 2 3 5 9 14
A076027: 1 2 3 5 9 14 19 25 32 40 49 59 70 82 95 109
(((((x * 2) * 2) + 1) * (((2 + 1) * 2) + 1)) - (if x <= 0 then 0 else 1))
A063166: 7 34 62 90 118 146 174 202 230 258 286 314 342 370 398 426
(((((x + 2) mod ((2 + 2) + 1)) * 2) mod (2 + 1)) - (if x <= 0 then 0 else 1))
A163818: 1 ~1 1 ~1 1 0 ~1 1 ~1 1 0 ~1 1 ~1 1 0
((((((2 + 2) * 2) + x) * x) div ((x + 2) + 1)) + (if x <= 0 then 0 else 1))
A057716: 0 3 5 6 7 9 10 11 12 13 14 15 17 18 19 20
(((x mod (1 - (x mod ((x div (0 - 2)) - 1)))) div 2) + (if x <= 0 then 0 else 1))
A336123: 0 1 1 1 1 1 1 2 2 1 1 2 1 1 2 2
((((x * 2) mod ((((x div 2) + 1) div 2) + 1)) div 2) + (if x <= 0 then 0 else 1))
A054868: 0 1 1 1 1 1 1 2 1 1 1 2 1 2 2 1
(((((x * x) div (((2 + 2) * 2) * 2)) + 1) div 2) + (if x <= 0 then 0 else 1))
A051066: 0 1 1 1 2 2 2 3 3 4 4 5 6 6 7 8
((((((x div 2) * x) div 2) div ((2 + 2) + 1)) mod 2) + (if x <= 0 then 0 else 1))
A332992: 0 1 1 1 1 2 2 1 2 2 2 2 2 2 2 1
((((x div 2) mod (((0 - x) mod (2 + 2)) + 1)) div 2) + (if x <= 0 then 0 else 1))
A327804: 0 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1
(((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + (if x <= 0 then 0 else 1))
A328512-A322307-A302041-A302031-A294893-A293460-A237353-A001221: 0 1 1 1 1 2 1 1 1 2 1 2 1 2 2 1
(((((x div (2 + 2)) * (x - 1)) mod (2 + 1)) div 2) + (if x <= 0 then 0 else 1))
A249615: 0 1 1 1 1 1 2 1 2 1 1 2 1 1 1 1
(((1 - ((2 - x) div ((2 + 2) * (2 + 1)))) * 2) + (if x <= 0 then 0 else 1))
A225577: 2 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7
(((x - (((1 - x) * (x * 2)) * (2 + 1))) * 2) + (if x <= 0 then 0 else 1))
A288918: 0 3 29 79 153 251 373 519 689 883 1101 1343 1609 1899 2213 2551
((((((x * 2) + 1) * 2) + (x div (2 + 1))) * 2) + (if x <= 0 then 0 else 1))
A063219: 4 13 21 31 39 47 57 65 73 83 91 99 109 117 125 135
(((((x + 1) div 2) div (2 + 1)) + ((x + 1) * 2)) + (if x <= 0 then 0 else 1))
A169865: 2 5 7 9 11 14 16 18 20 22 24 27 29 31 33 35
((((((x * x) * (x - 1)) div 2) * (x - 1)) + 2) + (if x <= 0 then 0 else 1))
A093522: 2 3 5 21 75
((((x div ((x div ((2 + 2) + 1)) + 1)) mod 2) * 2) - (if x <= 0 then 0 else 1))
A324672: 0 1 ~1 1 ~1 ~1 1 1 ~1 ~1 1 1 ~1 ~1 ~1 1
((((2 - x) mod ((x div ((2 + 2) + 1)) + 2)) div 2) + (if x <= 0 then 0 else 1))
A248623: 0 1 1 1 1 1 2 1 1 2 1 2 2 1 1 2
((((x - (x mod (((x mod 2) - 2) - 1))) div 2) div 2) + (if x <= 0 then 0 else 1))
A034973: 0 1 1 2 2 2 2 3 3 3 4 4 4 4 4 5
((x - ((((2 - x) * x) div ((2 + 2) * 2)) * 2)) - (if x <= 0 then 0 else 1))
A256535: 0 0 1 4 5 8 11 16 19 24 29 36 41 48 55 64
(((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + (if x <= 0 then 0 else 1))
A337531-A316556-A316555: 0 1 1 1 1 2 1 1 1 2 1 2 1 2 3 1
(((x + 1) * 2) div (((x div ((x mod 2) + 2)) + 2) + (if x <= 0 then 0 else 1)))
A340805: 1 1 1 2 2 3 2 3 2 3 2 4 2 4 3 4
((x div 2) - ((x div ((((x div 2) * x) mod 2) + 2)) - (if x <= 0 then 0 else 1)))
A294892: 0 1 1 1 1 1 1 2 1 1 1 3 1 1 1 3
(((((x div (2 + 1)) * (x - 2)) mod (x + 2)) mod 2) + (if x <= 0 then 0 else 1))
A328390: 0 1 1 2 1 2 1 2 1 1 1 2 1 1 1 1
((((((x * 2) + 1) * (2 + 1)) + (x div 2)) * 2) + (if x <= 0 then 0 else 1))
A063233: 6 19 33 45 59 71 85 97 111 123 137 149 163 175 189 201
((((((x * 2) + 1) * ((2 + 2) + 1)) + x) * 2) - (if x <= 0 then 0 else 1))
A063154: 10 31 53 75 97 119 141 163 185 207 229 251 273 295 317 339
((((x * x) mod (x - ((2 - x) div 2))) div (x + 2)) + (if x <= 0 then 0 else 1))
A324119-A279060: 0 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1
(((((x - 1) * x) div ((2 + 2) + 1)) + (x div 2)) + (if x <= 0 then 0 else 1))
A248578: 0 1 2 3 5 7 10 12 16 19 24 28 33 38 44 50
(((((((x div 2) * x) div (2 + 2)) + 1) div 2) + x) - (if x <= 0 then 0 else 1))
A295556: 0 0 1 2 4 5 7 9 11 13 15 17 20 22 25 27
(loop(\(x,i).((i - (x mod (((2 + 2) * (2 + 1)) + 1))) + x),x,0) + 1)
A032949: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 28 42
(loop(\(x,i).(((((i mod 2) * 2) + x) * ((2 + 2) + 1)) + x),x,0) + 1)
A092164: 1 11 61 371 2221 13331 79981 479891 2879341 17276051 103656301 621937811 3731626861 22389761171 134338567021 806031402131
(((1 - x) mod ((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 1)) + 1)
A030557: 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1
((((x + 2) * (x + 1)) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) + 1)
A225227: 1 7 13
A046163: 1 7 13 7 31 43 19 73 91 37 133 157 61 211 241 91
(((x * 2) div ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 0) + 1)) + 1)
A237292: 1 3 5 7 9 11 13 15 17 19 7 23 25 27 29 31
((x div ((if (x mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 2 else 0) + 1)) + 1)
A333696: 1 2 3 4 5 2 7 8 9 10 11 12 13 14 5 16
(x mod (((x * 2) mod ((if (x mod 2) <= 0 then (x - (2 + 2)) else 0) + 1)) + 1))
A143073: 0 0 0 0 0 0 0 0 0 0 3 0 5 0 0 0
((2 div ((x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) - 1)
A087003: 1 0 ~1 0 ~1 0 ~1 0 0 0 ~1 0 ~1 0 1 0
loop(\(x,i).(x * 2),((((x * x) * 2) mod ((x div (2 + 1)) + 1)) - 1),1)
A271205: 1 1 1 1 1 1 1 2 2 2 1 2 4 4 2 1
loop(\(x,i).(i * x),x,((x div ((2 mod ((x mod (2 + 1)) + 1)) + 1)) + 1))
A194130: 1 2 2 24 120 240 5040 40320 120960 3628800 39916800 159667200 6227020800 87178291200 435891456000 20922789888000
(1 - (2 div ((x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)))
A099991: ~1 0 1 0 1 0 1 0 0 0 1 0 1 0 ~1 0
(if x <= 0 then 0 else ((x mod ((x div (((x div (2 + 1)) + 2) + 1)) + 1)) + 1))
A245192: 0 1 1 1 1 2 1 2 1 2 1 2 1 2 3 2
((((x div 2) * x) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1)) + 1)
A249740-A249739-A205792-A071773: 1 1 1 2 1 1 1 2 3 1 1 2 1 1 1 2
loop(\(x,i).(x * 2),(((x * 2) div (((x div (2 + 2)) + 2) + 1)) - 1),1)
A113402: 1 1 1 2 2 2 4 4 4 4 8 8 8 8 8 16
(x div (((x div 2) div ((if (x mod ((x mod 2) + 2)) <= 0 then 2 else 1) + 1)) + 1))
A333609: 0 1 2 3 4 2 3 3 4 4 5 3 4 3 4 5
((x div ((if (x mod 2) <= 0 then 1 else ((x + 2) div ((2 + 2) + 1))) + 1)) + 1)
A078451: 1 2 2 2 3 3 4 4 5 4 6 4 7 4 8 4
loop(\(x,i).(x * x),1,((x mod (((x + 2) div ((2 + 2) + 1)) + 1)) + 1))
A126114: 1 1 1 4 1 4 1 4 9 1 4 9 1 4 9 16
loop(\(x,i).(i * x),((((x mod 2) + (x * 2)) * ((2 + 2) + 1)) - 1),1)
A072295: 1 87178291200 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else (((x * x) mod ((x div ((x mod (2 + 2)) + 1)) + 1)) + 1))
A169818: 0 1 1 1 2 2 1 2 2 2 1 2 2 2 2 2
(loop(\(x,i).((x * 2) * (2 + 1)),x,(((2 + 2) * (2 + 1)) - 1)) + 1)
A199415: 12 67 397 2377 14257 85537 513217 3079297 18475777 110854657 665127937 3990767617 23944605697 143667634177 862005805057 5172034830337
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 2) * (2 + 1)) - 1)) + 1)
A199558: 12 89 705 5633 45057 360449 2883585 23068673 184549377 1476395009 11811160065 94489280513 755914244097 6047313952769 48378511622145 387028092977153
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 2) * (2 + 1)) - 1)) - 1)
A198858: 10 87 703 5631 45055 360447 2883583 23068671 184549375 1476395007 11811160063 94489280511 755914244095 6047313952767 48378511622143 387028092977151
(loop(\(x,i).(x * x),1,(((((2 + 1) * x) - 2) * (2 + 1)) + 1)) + 1)
A154295: 26 17 170 485 962 1601 2402 3365 4490 5777 7226 8837 10610 12545 14642 16901
((x * 2) - ((x div 2) - loop(\(x,i).i,(((x - 2) div (2 + 1)) - 1),1)))
A225647: 1 3 4 6 7
A226901: 1 3 4 6 7 9 10 12 13 15 16 19 20 22 24 26
loop(\(x,i).(i * x),((x - (((x mod 2) - (x * 2)) * (2 + 1))) + 1),1)
A045509: 1 120 1307674368000 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x mod ((2 + 2) + 1)) - 1) <= 0 then (((x div 2) div (2 + 1)) + 1) else 1)
A114088-A114087: 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 3
(((x + 2) div ((if ((x mod (2 + 1)) - 1) <= 0 then x else (2 + 1)) + 1)) - 1)
A263415: 1 0 0 0 0 0 0 0 1 0 0 2 0 0 3 0
loop(\(x,i).((x * 2) * (2 + 1)),((((2 + 1) * x) * (2 + 1)) + 1),1)
A067484: 6 60466176 609359740010496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x div ((if (((x div 2) * x) mod 2) <= 0 then x else (x mod (2 + 1))) + 1)) + 1)
A327939-A234957: 1 1 1 4 1 1 1 4 1 1 1 4 1 1 1 16
((x div ((x mod (loop(\(x,i).(x div ((x mod 2) + 2)),2,x) + 1)) + 1)) + 1)
A138221: 1 2 3 4 5 6 7 4 3 5 11 6 13 7 5 8
(loop(\(x,i).((x * x) * 2),1,((((2 + 2) * 2) * (x + 1)) + 1)) - 1)
A157337: 161 577 1249 2177 3361 4801 6497 8449 10657 13121 15841 18817 22049 25537 29281 33281
(loop(\(x,i).((x * x) * 2),1,((((2 + 2) * 2) * (x + 1)) - 1)) - 1)
A157331: 97 449 1057 1921 3041 4417 6049 7937 10081 12481 15137 18049 21217 24641 28321 32257
(loop(\(x,i).((((x div 2) + x) + ((x * 2) * 2)) * 2),(x + 1),1) + 1)
A199764: 11 111 1211 13311 146411 1610511 17715611 194871711 2143588811 23579476911 259374246011 2853116706111 31384283767211 345227121439311 3797498335832411 41772481694156511
(loop(\(x,i).((((x div 2) + x) + ((x * 2) * 2)) * 2),(x + 1),1) - 1)
A199030: 9 109 1209 13309 146409 1610509 17715609 194871709 2143588809 23579476909 259374246009 2853116706109 31384283767209 345227121439309 3797498335832409 41772481694156509
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013797: 1728 35831808 743008370688 15407021574586368 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 + 2) * (x + 1)) - 1),1)
A013793: 1000 10000000 100000000000 1000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013787: 343 823543 1977326743 4747561509943 11398895185373143 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),1) - 1)
A001453: 1 4 13 41 131 428 1429 4861 16795 58785 208011 742899 2674439 9694844 35357669 129644789
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1) + 1)
A260878: 2 2 4 11 36 127 463 1717 6436 24311 92379 352717 1352079 5200301 20058301 77558761
((x div (((if (x - (((2 + 2) + 1) * 2)) <= 0 then 2 else 0) + 2) + 1)) + 1)
A029105: 1 1 1 1 1 2 2 2 2 2 3 4 5 5 5 6
(x - ((x div (((if ((x div (2 + 2)) - 2) <= 0 then 2 else 0) + 2) + 1)) - 1))
A331266: 1 2 3 4 5 5 6 7 8 9 9 10 9 10 11 11
(x div ((if (x mod 2) <= 0 then ((((x mod (2 + 1)) div 2) + 1) * 2) else 1) + 1))
A071281: 0 0 0 1 1 2 2 3 1 4 3 5 4 6 2 7
((if ((x + 1) mod (1 - (x div (((0 - 2) - 2) - 1)))) <= 0 then 2 else 1) + 1)
A237347: 3 3 2 3 2 3 2 2 3 2 2 3 2 2 2 3
((if (x - 2) <= 0 then x else ((((x div ((2 + 2) * 2)) + 1) * 2) + 1)) + 1)
A174901: 1 2 3 4 4 4 4 4 6 6 6 6 6 6 6 6
(x div ((x div ((if (x mod ((x div (2 + 2)) + 2)) <= 0 then 1 else 2) + 1)) + 1))
A058062: 0 1 1 1 2 2 1 2 1 2 2 2 2 2 2 1
(if (x mod 2) <= 0 then ((((2 - x) mod ((x div (2 + 2)) + 1)) * 2) + 1) else 1)
A143069: 1 1 1 1 1 1 1 1 1 1 3 1 5 1 1 1
loop(\(x,i).i,(x mod ((((((x div 2) + 1) div 2) mod (2 + 1)) * 2) + 1)),1)
A341216-A261363: 1 1 2 1 1 2 1 2 3 4 1 1 1 1 2 1
loop(\(x,i).(x * 2),(x - (x div ((((x div 2) div (2 + 1)) + 2) + 1))),1)
A089887: 1 2 4 4 8 16 32 64 64 128 256 512 1024 2048 4096 4096
(((if (x - 2) <= 0 then x else ((x + 2) + 2)) mod (((2 + 1) * 2) + 1)) + 1)
A210530: 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6
(2 div (((1 - (if (x mod 2) <= 0 then x else 2)) mod (((2 + 1) * 2) + 1)) + 1))
A194024: 1 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0
loop(\(x,i).(x * x),1,(x - (((x * 2) div (((2 + 1) * 2) + 1)) - 1)))
A080819: 1 4 9 16 16 25 36 36 49 64 81 81 100 121 121 144
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 1) * 2) + 1)) + 1)
A199687: 8 71 701 7001 70001 700001 7000001 70000001 700000001 7000000001 70000000001 700000000001 7000000000001 70000000000001 700000000000001 7000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 1) * 2) + 1)) - 1)
A198699: 6 69 699 6999 69999 699999 6999999 69999999 699999999 6999999999 69999999999 699999999999 6999999999999 69999999999999 699999999999999 6999999999999999
(loop(\(x,i).((x - ((2 + 2) + 1)) * x),x,(((2 + 1) * 2) + 1)) + 1)
A067686: 8 15 127 15247 232364287 53993160246468367 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else ((x div (x - ((x mod ((x mod (2 + 1)) + 2)) - 1))) + 1))
A248371: 2 2 3 2 2 2 1 2 1 2 2 2 1 2 2 2
((1 - x) mod ((if (x mod (2 + 2)) <= 0 then ((x mod (2 + 1)) * 2) else 1) + 1))
A271620: 0 0 1 0 0 0 1 0 3 0 1 0 0 0 1 0
(((((x div (2 + 1)) + x) * 2) + (if (x mod (2 + 1)) <= 0 then 2 else 1)) + 1)
A047413: 3 4 6 11 12 14 19 20 22 27 28 30 35 36 38 43
(((x + 1) div (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 1)) + 1)
A320672: 1 2 4 3 6 7 8 5 10 11 12 13 14 15 16 9
((1 - x) mod ((if ((x div (2 + 1)) mod 2) <= 0 then ((x + 1) div 2) else 1) + 1))
A072681: 0 0 1 0 1 0 3 4 3 0 1 0 3 4 3 0
((if (x mod 2) <= 0 then (x div ((((x - 1) mod (2 + 1)) + 2) * 2)) else 1) + 1)
A235708: 1 2 1 2 2 2 1 2 2 2 3 2 2 2 3 2
((1 - ((x div 2) * x)) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1))
A328248: 1 1 1 0 1 1 1 0 2 1 1 0 1 1 1 0
((x div (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 1)) + 1)
A050985: 1 2 3 4 5 6 7 1 9 10 11 12 13 14 15 2
(2 div (((1 - (if (2 - x) <= 0 then x else 0)) mod (((2 + 2) * 2) + 1)) + 1))
A331918: 1 1 0 0 0 0 0 0 0 1 2 0 0 0 0 0
(if x <= 0 then 0 else (((((x * 2) * 2) - 1) mod (((2 + 2) * 2) + 1)) + 1))
A180594: 0 4 8 3 7 2 6 1 5 9 4 8 3 7 2 6
(if x <= 0 then 0 else (((((0 - x) * 2) - 1) mod (((2 + 2) * 2) + 1)) + 1))
A180597: 0 7 5 3 1 8 6 4 2 9 7 5 3 1 8 6
(if x <= 0 then 0 else (((((x + 1) * x) - 1) mod (((2 + 2) * 2) + 1)) + 1))
A251755: 0 2 6 3 2 3 6 2 9 9 2 6 3 2 3 6
loop(\(x,i).((x + 1) * x),(2 - ((x + 2) mod (((2 + 2) * 2) + 1))),1)
A284761: 1 1 1 1 1 1 1 6 2 1 1 1 1 1 1 1
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(((2 + 2) * 2) + 1)) + 1)
A199487: 10 64 442 3088 21610 151264 1058842 7411888 51883210 363182464 2542277242 17795940688 124571584810 872001093664 6104007655642 42728053589488
loop(\(x,i).(x * 2),(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)),1)
A137688: 1 2 2 4 4 4 8 8 8 8 16 16 16 16 16 32
(if x <= 0 then 0 else ((2 mod ((((x - 2) mod ((x div 2) + 2)) div 2) + 1)) + 1))
A091407: 0 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3
((if (x mod 2) <= 0 then (x div 2) else (x mod ((((x div 2) mod 2) * 2) + 1))) + 1)
A250028: 1 1 2 1 3 1 4 2 5 1 6 3 7 1 8 1
(loop(\(x,i).((x + 2) * 2),(x div 2),((((x mod 2) * 2) * 2) + 1)) + 1)
A078113: 2 6 7 15 17 33 37 69 77 141 157 285 317 573 637 1149
(if (x mod ((2 + 2) + 1)) <= 0 then (((x div (0 - 2)) mod (2 + 2)) + 1) else 1)
A107688: 1 1 1 1 1 2 1 1 1 1 4 1 1 1 1 1
(if x <= 0 then 0 else (((x + 2) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1))
A264990: 0 1 1 2 1 1 1 2 2 3 1 2 1 1 1 2
loop(\(x,i).(x * x),(2 + 1),((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017348: 1679616 4294967296 208827064576 2821109907456 20047612231936 96717311574016 360040606269696 1113034787454976 2992179271065856 7213895789838336 15938480745308416 32784148919812096 63527879748485376
loop(\(x,i).((x * x) * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017343: 216 4096 17576 46656 97336 175616 287496 438976 636056 884736 1191016 1560896 2000376 2515456 3112136 3796416
loop(\(x,i).((x * x) * x),2,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017349: 10077696 68719476736 5429503678976 101559956668416 922190162669056 5416169448144896 23762680013799936 84590643846578176 257327417311663616 692533995824480256 1689478959002692096 3802961274698203136
((loop(\(x,i).((x * x) * (i + 1)),2,(x + 1)) * ((2 + 2) + 1)) - 1)
A248974: 59 959 4859 15359 37499 77759 144059 245759 393659 599999 878459 1244159 1713659 2304959 3037499 3932159
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A222011: 1 2 4 8
A036122: 1 2 4 8 16 3 6 12 24 19 9 18 7 14 28 27
((loop(\(x,i).((i + 2) * x),((x + 2) + 1),2) div ((2 + 2) + 1)) + 1)
A139152: 25 145 1009 8065 72577 725761 7983361 95800321 1245404161 17435658241 261534873601 4184557977601 71137485619201 1280474741145601 24329020081766401 486580401635328001
((loop(\(x,i).((i + 2) * x),((x + 2) + 1),2) div ((2 + 2) + 1)) - 1)
A139175: 23 143 1007 8063 72575 725759 7983359 95800319 1245404159 17435658239 261534873599 4184557977599 71137485619199 1280474741145599 24329020081766399 486580401635327999
loop(\(x,i).((x * x) * x),2,((((x + 1) * 2) * ((2 + 2) + 1)) + 1))
A038685: 2357947691 794280046581 26439622160671 327381934393961 2334165173090451 11694146092834141 45848500718449031 150094635296999121 427929800129788411 1093685272684360901
loop(\(x,i).(x * x),(2 + 1),((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017384: 43046721 16983563041 500246412961 5352009260481 33232930569601 146830437604321 513798374428641 1517108809906561 3936588805702081 9227446944279201 19925626416901921 40213853471634241 76686282021340161
loop(\(x,i).((x * x) * x),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017379: 729 6859 24389 59319 117649 205379 328509 493039 704969 970299 1295029 1685159 2146689 2685619 3307949 4019679
loop(\(x,i).((x * x) * x),2,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017385: 387420489 322687697779 14507145975869 208728361158759 1628413597910449 8662995818654939 35452087835576229 119851595982618319 350356403707485209 913517247483640899 2171893279442309389
((((loop(\(x,i).(x * x),x,(2 + 2)) + 2) * 2) * ((2 + 2) + 1)) - 1)
A160681: 59 179 2579 655379 42949672979 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A222011: 1 2 4 8
A070348: 1 2 4 8 16 32 23 5 10 20 40 39 37 33 25 9
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A222011: 1 2 4 8
A070340: 1 2 4 8 16 32 25 11 22 5 10 20 1 2 4 8
loop(\(x,i).(x * x),1,(x - ((((1 - x) * 2) div ((2 + 2) + 1)) - 1)))
A087055: 1 4 16 25 49 64 81 121 144 196 225 256 324 361 441 484
(((loop(\(x,i).(x div (2 - (x mod 2))),2,x) * 2) div ((2 + 2) + 1)) + 1)
A335421: 1 1 1 2 1 3 2 3 1 4 3 5 2 6 3 7
((if x <= 0 then 1 else x) div (((((x mod 2) + x) + 2) div ((2 + 2) + 1)) + 1))
A137735: 1 1 2 1 2 2 3 2 2 3 3 3 4 3 3 3
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * ((2 + 2) + 1)) + 1)
A199488: 11 71 491 3431 24011 168071 1176491 8235431 57648011 403536071 2824752491 19773267431 138412872011 968890104071 6782230728491 47475615099431
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * ((2 + 2) + 1)) - 1)
A198691: 9 69 489 3429 24009 168069 1176489 8235429 57648009 403536069 2824752489 19773267429 138412872009 968890104069 6782230728489 47475615099429
(((x + 2) - (((if (x - 2) <= 0 then x else 0) - x) div ((2 + 2) + 1))) + 1)
A183574: 3 4 5 7 8 9 11 12 13 14 15 17 18 19 20 21
loop(\(x,i).(x * 2),(((((x div 2) + 1) mod 2) * x) div ((2 + 2) + 1)),1)
A174842: 1 1 1 1 1 2 1 1 2 2 1 1 4 4 1 1
((loop(\(x,i).(x * 2),x,1) - (((x div 2) + x) div ((2 + 2) + 1))) - 1)
A222010: 0 1 3 7
A139817: 0 1 3 7 14 30 62 125 253 509 1020 2044 4092 8188 16379 32763
((((if (x - 1) <= 0 then x else (x * 2)) + 2) + (x div ((2 + 2) + 1))) + 1)
A187477: 3 4 7 9 11 14 16 18 20 22 25 27 29 31 33 36
(if x <= 0 then 1 else ((x mod ((2 + 2) + 1)) mod ((x div ((2 + 2) + 1)) + 1)))
A029427: 1 0 0 0 0 0 1 0 1 0 0 1 2 0 1 0
(if (x mod (2 + 1)) <= 0 then 1 else ((1 - x) mod ((x div ((2 + 2) + 1)) + 1)))
A025852: 1 0 0 1 0 0 1 0 1 1 0 2 1 0 2 1
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,((2 + 2) + 1)) + 1)
A199755: 6 56 606 6656 73206 805256 8857806 97435856 1071794406 11789738456 129687123006 1426558353056 15692141883606 172613560719656 1898749167916206 20886240847078256
((if x <= 0 then 0 else 1) - (2 mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)))
A070238: 0 1 1 ~1 1 1 1 ~1 ~1 1 1 ~1 1 1 1 ~1
((x mod ((if (x mod ((x mod 2) + 2)) <= 0 then 1 else (x div (2 + 2))) + 1)) + 1)
A051881: 1 1 1 2 1 2 1 2 1 2 1 3 1 2 1 2
(((((if (x mod 2) <= 0 then x else 0) + 1) * 2) mod ((x div (2 + 2)) + 1)) + 1)
A079790: 1 1 1 1 1 1 1 1 1 3 2 3 3 3 3 3
(1 - (if (x mod (2 + 1)) <= 0 then (2 - (2 div ((x div (2 + 2)) + 1))) else 1))
A016079-A015719-A015539-A015179-A014999-A014639-A011645: 1 0 0 1 0 0 0 0 0 ~1 0 0 ~1 0 0 ~1
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),(((x * 2) * 2) + 1),1)
A013812: 20 3200000 512000000000 81920000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(((x * 2) * 2) + 1),1)
A013802: 15 759375 38443359375 1946195068359375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),(((x * 2) * 2) + 1),1)
A013808: 18 1889568 198359290368 20822964865671168 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),(((x * 2) * 2) + 1),1)
A013820: 24 7962624 2641807540224 876488338465357824 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(((x * 2) * 2) + 1),1)
A013800: 14 537824 20661046784 793714773254144 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(((x * 2) * 2) + 1),1)
A013798: 13 371293 10604499373 302875106592253 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((x * 2) * 2) + 1),1)
A013794: 11 161051 2357947691 34522712143931 505447028499293771 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((x * 2) * 2) + 1),1)
A013806: 17 1419857 118587876497 9904578032905937 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(((x * 2) * 2) div (((x div 2) + 2) + 1)),1)
A307138: 1 4 16 64 64 256 256 256 256 1024 1024 1024 1024
(2 div ((if (x - (2 + 1)) <= 0 then x else ((x mod ((x mod 2) + 2)) + 1)) + 1))
A246398: 2 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1
(((if (x mod 2) <= 0 then ((1 - x) mod ((2 + 2) + 1)) else 1) mod (2 + 1)) - 1)
A286133: 0 0 0 0 1 0 ~1 0 ~1 0 0 0 0 0 1 0
((x + 2) mod (((x - (if ((x div 2) - 2) <= 0 then 2 else 1)) mod (2 + 1)) + 1))
A161116: 0 0 0 1 0 0 2 0 0 2 0 1 2 0 0 2
(((((x * x) - (if x <= 0 then 0 else 1)) div ((2 + 2) + 1)) mod (2 + 1)) + 1)
A095955: 1 1 1 2 1 2 2 1 1 2 2 1 2 1 1 3
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A222011: 1 2 4 8
A036124: 1 2 4 8 16 32 27 17 34 31 25 13 26 15 30 23
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A222011: 1 2 4 8
A070339: 1 2 4 8 16 32 29 23 11 22 9 18 1 2 4 8
(((loop(\(x,i).((x * 2) - 1),x,0) mod ((x * 2) + 1)) div (2 + 1)) + 1)
A300650: 1 1 1 1 2 1 1 3 1 1 3 1 2 6 1 1
loop(\(x,i).((2 + 1) * x),(x div 2),((((x mod 2) + 1) * (2 + 1)) + 1))
A228879: 4 7 12 21 36 63 108 189 324 567 972 1701 2916 5103 8748 15309
(((loop(\(x,i).(x - ((i * x) * 2)),x,1) mod (x + 1)) div (2 + 1)) + 1)
A159269: 1 1 1 1 1 2 1 1 1 2 1 4 1 3 1 1
(if x <= 0 then 1 else ((((((x div 2) + 2) + 2) * (x + 1)) div (2 + 1)) + 1))
A282167: 1 3 6 7 11 13 17 19 25 27
loop(\(x,i).(x * x),(2 + 1),((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017660: 214358881 78310985281 2251875390625 23811286661761 146830437604321 645753531245761 2252292232139041 6634204312890625 17181861798319201 40213853471634241 86730203469006241 174859124550883201
loop(\(x,i).((x * x) * x),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017655: 1331 12167 42875 103823 205379 357911 571787 857375 1225043 1685159 2248091 2924207 3723875 4657463 5735339 6967871
loop(\(x,i).((x * x) * x),2,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017661: 2357947691 1801152661463 78815638671875 1119130473102767 8662995818654939 45848500718449031 186940255267540403 630249409724609375 1838459212420154507 4611686018427387903
(((2 + 1) * 2) div loop(\(x,i).(0 - x),x,(((x + 1) mod (2 + 1)) + 1)))
A131969: 3 ~2 6 ~3 2 ~6 3 ~2 6 ~3 2 ~6 3 ~2 6 ~3
(((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)) + 1)
A333161-A180980-A176353-A156044-A111007-A103691-A103441-A081206: 1 1 1 1 2 1 1 2 2 1 1 3 3 3 1 1
(loop(\(x,i).((x * 2) * 2),x,1) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A187532: 1 4 16 7 9 17 11 6 5 1 4 16 7 9 17 11
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070342: 1 3 9 8 5 15 7 2 6 18 16 10 11 14 4 12
((if ((x div (2 + 1)) - 2) <= 0 then x else (((2 + 1) * 2) * (2 + 1))) + 1)
A092596: 1 2 3 4 5 6 7 8 9 19
A087121: 1 2 3 4 5 6 7 8 9 19 19 19 19 19 19 19
(x - (((if x <= 0 then 1 else x) div (x - (((2 + 1) * 2) * (2 + 1)))) - 1))
A261355-A084384: 2 3 4 5 6 7 8 9 10 11 13 14 15 17 19 21
((loop(\(x,i).(((i + 2) + 1) * x),((x + 2) + 1),2) div (2 + 1)) + 1)
A139156: 81 561 4481 40321 403201 4435201 53222401 691891201 9686476801 145297152001 2324754432001 39520825344001 711374856192001 13516122267648001 270322445352960001 4611686018427387903
((loop(\(x,i).(((i + 2) + 1) * x),((x + 2) + 1),2) div (2 + 1)) - 1)
A139184: 79 559 4479 40319 403199 4435199 53222399 691891199 9686476799 145297151999 2324754431999 39520825343999 711374856191999 13516122267647999 270322445352959999 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017612: 5764801 16983563041 852891037441 11688200277601 83733937890625 406067677556641 1517108809906561 4702525276151521 12667700813876161 30590228625390625 67675234241018881 139353667211683681
loop(\(x,i).((x * x) * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017607: 343 6859 29791 79507 166375 300763 493039 753571 1092727 1520875 2048383 2685619 3442951 4330747 5359375 6539203
loop(\(x,i).((x * x) * x),2,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017613: 40353607 322687697779 26439622160671 502592611936843 4605366583984375 27206534396294947 119851595982618319 427929800129788411 1304773183829244583 3517876291919921875 4611686018427387903
loop(\(x,i).(x * x),1,(x - (((((x * 2) + 1) * 2) * (2 + 1)) + 1)))
A017474: 49 324 841 1600 2601 3844 5329 7056 9025 11236 13689 16384 19321 22500 25921 29584
loop(\(x,i).(x * x),2,(x - (((((x * 2) + 1) * 2) * (2 + 1)) + 1)))
A017476: 2401 104976 707281 2560000 6765201 14776336 28398241 49787136 81450625 126247696 187388721 268435456 373301041 506250000 671898241 875213056
loop(\(x,i).(x * x),(2 + 1),(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017588: 390625 6975757441 500246412961 7984925229121 62259690411361 318644812890625 1235736291547681 3936588805702081 10828567056280801 26584441929064321 59604644775390625 124097929967680321
loop(\(x,i).((x * x) * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017583: 125 4913 24389 68921 148877 274625 456533 704969 1030301 1442897 1953125 2571353 3307949 4173281 5177717 6331625
loop(\(x,i).((x * x) * x),2,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017589: 1953125 118587876497 14507145975869 327381934393961 3299763591802133 20711912837890625 95151694449171437 350356403707485209 1093685272684360901 3004041937984268273 4611686018427387903
((((loop(\(x,i).(x * 2),x,(x mod 2)) mod (x + 1)) * 2) div (2 + 1)) + 1)
A323409: 1 1 1 1 1 2 1 1 1 2 1 6 1 2 1 1
(if (((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) <= 0 then (2 + 1) else 1)
A099545: 1 1 3 1 1 3 3 1 1 1 3 3 1 3 3 1
loop(\(x,i).((2 + 1) * x),((((x div (2 + 1)) * 2) * 2) div (2 + 1)),1)
A060828: 1 1 1 3 3 3 9 9 9 81 81 81 243 243 243 729
((((loop(\(x,i).(((x * 2) * 2) * 2),x,1) div 2) + 2) div (2 + 1)) + 1)
A039305: 1 3 12 87 684 5463 43692 349527 2796204 22369623 178956972 1431655767 11453246124 91625968983 733007751852 5864062014807
loop(\(x,i).(x * x),1,(x - (((((x + 1) div 2) div 2) * (2 + 1)) - 1)))
A007892: 1 4 9 1 4 9 16 4 9 16 25 9 16 25 36 16
(if x <= 0 then 1 else (((((x + 2) mod ((2 + 2) * 2)) * 2) mod (2 + 1)) - 1))
A014677: 1 ~1 1 0 ~1 1 ~1 1 0 ~1 1 0 ~1 1 ~1 1
(loop(\(x,i).(x * 2),x,1) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A222011: 1 2 4 8
A070351: 1 2 4 8 16 32 17 34 21 42 37 27 7 14 28 9
((loop(\(x,i).((x + 1) * 2),x,(((2 + 2) * 2) * 2)) * (2 + 1)) + 1)
A250653: 49 103 211 427 859 1723 3451 6907 13819 27643 55291 110587 221179 442363 884731 1769467
(x - ((((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2))) * (2 + 1)) + 1))
A174887: 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 23
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070343: 1 3 9 2 6 18 4 12 11 8 24 22 16 23 19 7
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070356: 1 3 9 4 12 13 16 2 6 18 8 1 3 9 4 12
(((loop(\(x,i).((1 - x) * 2),x,((x + 2) + 2)) div 2) div (2 + 1)) + 1)
A084219: 1 ~1 4 ~8 20 ~44 100 ~220 484 ~1052 2276 ~4892 10468 ~22300 47332 ~100124
loop(\(x,i).((x * x) * 2),1,((x div (1 - ((2 + 2) * (2 + 1)))) - 1))
A138300: 2 8 8 8 8 8 8 8 8 8 8 8 18 18 18 18
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (((2 + 2) * (2 + 1)) + 1))
A070393: 1 6 10 8 9 2 12 7 3 5 4 11 1 6 10 8
(loop(\(x,i).((x - i) * x),2,(x - 1)) div (((2 + 2) * (2 + 1)) + 1))
A011923: 0 0 0 0 1 9 27 64 129 232 387 609 913 1320 1848 2520
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (((2 + 2) * (2 + 1)) + 1))
A070368: 1 5 12 8 1 5 12 8 1 5 12 8 1 5 12 8
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * (((2 + 2) * (2 + 1)) + 1))
A040651: 26 26 52 26 52 26 52 26 52 26 52 26 52 26 52 26
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,(((2 + 2) * (2 + 1)) + 1))
A145187: 13 2236 11179326964 4611686018427387903 4611686018427387903
(loop(\(x,i).((0 - x) * (2 + 1)),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A048271: 1 8 9 6 4 10 3 2 5 7 1 8 9 6 4 10
(loop(\(x,i).((x * 2) * (0 - 2)),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A070404: 1 7 5 2 3 10 4 6 9 8 1 7 5 2 3 10
(loop(\(x,i).((x - i) * x),2,(x - 1)) div (((2 + 2) * (2 + 1)) - 1))
A011921: 0 0 0 0 2 10 32 76 152 274 458 720 1080 1560 2184 2978
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * (((2 + 2) * (2 + 1)) - 1))
A040463: 22 22 44 22 44 22 44 22 44 22 44 22 44 22 44 22
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,(((2 + 2) * (2 + 1)) - 1))
A145185: 11 1364 2537720636 4611686018427387903 4611686018427387903
(((x - (if (x mod (2 + 1)) <= 0 then 1 else ((x - 2) * 2))) div (2 + 1)) + 1)
A135997: 0 2 1 1 1 0 2 0 ~1 3 ~1 ~2 4 ~2 ~3 5
loop(\(x,i).(((x * 2) * (2 + 1)) + 1),(((x * 2) * 2) * (2 + 1)),1)
A022230: 1 2612138803 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) + 1),(((x * 2) * 2) * (2 + 1)),1)
A022252: 1 78536544841 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * 2)),(((x * 2) * 2) * (2 + 1)),1)
A015431: 1 61083979321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) * 2) * (2 + 1)) + 1)))
A017408: 1 429981696 78310985281 1785793904896 16815125390625 96717311574016 406067677556641 1370114370683136 3936588805702081 10000000000000000 23045377697175681 49077072127303936 97906861202319841
(((loop(\(x,i).((i mod 2) + (x * 2)),x,(x * 2)) * 2) div (2 + 1)) + 1)
A102301: 1 4 13 36 93 228 541 1252 2845 6372 14109 30948 67357 145636 313117 669924
((loop(\(x,i).((x + 1) * 2),((x div 2) - (x mod 2)),2) div (2 + 1)) + 1)
A112447: 1 1 3 1 5 3 11 5 21 11 43 21 85 43 171 85
loop(\(x,i).((2 + 1) * x),(x div 2),((((x mod 2) * 2) * (2 + 1)) + 1))
A166481: 1 7 3 21 9 63 27 189 81 567 243 1701 729 5103 2187 15309
(((loop(\(x,i).((((i + 2) + 2) + 1) * x),x,2) * 2) * (2 + 1)) + 1)
A139157: 13 73 505 4033 36289 362881 3991681 47900161 622702081 8717829121 130767436801 2092278988801 35568742809601 640237370572801 12164510040883201 243290200817664001
(((loop(\(x,i).((((i + 2) + 2) + 1) * x),x,2) * 2) * (2 + 1)) - 1)
A139185: 11 71 503 4031 36287 362879 3991679 47900159 622702079 8717829119 130767436799 2092278988799 35568742809599 640237370572799 12164510040883199 243290200817663999
(((((if (((x div 2) - 2) - 2) <= 0 then 2 else 0) + x) + 2) div (2 + 1)) + 1)
A132914: 2 2 3 3 3 4 4 4 5 5 5 5 5 6 6 6
loop(\(x,i).(x * x),(2 + 1),(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017252: 5764801 4294967296 152587890625 1785793904896 11688200277601 53459728531456 191707312997281 576480100000000 1517108809906561 3596345248055296 7837433594376961 15938480745308416 30590228625390625
loop(\(x,i).((x * x) * x),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017247: 343 4096 15625 39304 79507 140608 226981 343000 493039 681472 912673 1191016 1520875 1906624 2352637 2863288
loop(\(x,i).((x * x) * x),2,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017253: 40353607 68719476736 3814697265625 60716992766464 502592611936843 2779905883635712 11694146092834141 40353607000000000 119851595982618319 316478381828866048 760231058654565217 1689478959002692096
loop(\(x,i).(x * x),(2 + 1),(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017228: 390625 1475789056 78310985281 1099511627776 7984925229121 39062500000000 146830437604321 457163239653376 1235736291547681 2992179271065856 6634204312890625 13685690504052736 26584441929064321
loop(\(x,i).((x * x) * x),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017223: 125 2744 12167 32768 68921 125000 205379 314432 456533 636056 857375 1124864 1442897 1815848 2248091 2744000
loop(\(x,i).((x * x) * x),2,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017229: 1953125 20661046784 1801152661463 35184372088832 327381934393961 1953125000000000 8662995818654939 31087100296429568 95151694449171437 257327417311663616 630249409724609375 1423311812421484544
loop(\(x,i).((2 + 1) * x),(((((x * 2) + 1) * x) * 2) div (2 + 1)),1)
A122251: 1 9 729 4782969 282429536481 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(2 - ((x div 2) - 2)),x,1) + x) * 2) div (2 + 1)) + 1)
A049008: 1 4 3 5 5 6 7 7 8 9 9 10 11 11 12 13
((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) * (2 + 1)) + 1)
A173766: 7 37 337 3337 33337 333337 3333337 33333337 333333337 3333333337 33333333337 333333333337 3333333333337 33333333333337 333333333333337 3333333333333337
(2 - (((if (((x div 2) + 2) mod (2 + 2)) <= 0 then x else 2) mod (2 + 1)) - 1))
A322482-A209156: 1 1 1 1 2 1 1 1 1 1 1 1 3 2 1 1
((loop(\(x,i).((x + 2) * (2 + 1)),(x - 1),(x + 2)) div (2 + 1)) + 1)
A038765: 1 2 7 24 81 270 891 2916 9477 30618 98415 314928 1003833 3188646 10097379 31886460
(if ((((2 + 2) + 1) * 2) mod (x + 1)) <= 0 then ((x + 2) div (2 + 1)) else 1)
A056926: 0 1 1 1 2 1 1 1 1 3 1 1 1 1 1 1
(((((if ((x div 2) - 2) <= 0 then 1 else x) + x) * (x + 2)) div (2 + 1)) + 1)
A116582: 1 3 5 7 11 15 33
((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x - 2)) div (2 + 1)) - 1)
A006522: 1 0 0 1 4 11 25 50 91 154 246 375 550 781 1079 1456
loop(\(x,i).(x * x),1,(x - ((((x mod 2) + (x * 2)) * (2 + 1)) + 1)))
A273372: 1 81 121 361 441 841 961 1521 1681 2401 2601 3481 3721 4761 5041 6241
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) * (2 + 1)) + 1))
A016925: 1 16807 371293 2476099 9765625 28629151 69343957 147008443 282475249 503284375 844596301 1350125107 2073071593 3077056399 4437053125 6240321451
(x div ((((if (x mod (2 + 2)) <= 0 then x else 1) - (x mod 2)) mod (2 + 1)) + 1))
A165342: 0 1 1 3 2 5 3 7 2 9 5 11 12 13 7 15
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,2) * (2 + 1)) + 1)
A199756: 7 67 727 7987 87847 966307 10629367 116923027 1286153287 14147686147 155624547607 1711870023667 18830570260327 207136272863587 2278499001499447 25063489016493907
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,2) * (2 + 1)) - 1)
A199024: 5 65 725 7985 87845 966305 10629365 116923025 1286153285 14147686145 155624547605 1711870023665 18830570260325 207136272863585 2278499001499445 25063489016493905
(((((if ((x mod (2 + 1)) div 2) <= 0 then 1 else x) + x) * 2) div (2 + 1)) + 1)
A269098: 1 2 3 3 4 7 5 6 11 7 8 15 9 10 19 11
(((loop(\(x,i).((((i mod 2) + x) + 2) * 2),x,x) div 2) div (2 + 1)) + 1)
A172481: 1 2 5 11 25 55 121 263 569 1223 2617 5575 11833 25031 52793 111047
(((x + 2) * (x + 1)) - (loop(\(x,i).((i + x) * x),2,(2 + 1)) + 1))
A212325: ~167 ~163 ~157 ~149 ~139 ~127 ~113 ~97 ~79 ~59 ~37 ~13 13 41 71 103
(x - ((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 0) - x) div (2 + 1)) - 1))
A285375: 1 2 3 5 6 7 9 10 11 13 15 16 17 19 20 21
loop(\(x,i).((x * 2) * (2 + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013840: 216 1679616 13060694016 101559956668416 789730223053602816 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013848: 512 16777216 549755813888 18014398509481984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013836: 125 390625 1220703125 3814697265625 11920928955078125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((x - ((((x - 1) mod (2 + 1)) - x) * (2 + 1))) - 1))
A240670: 1 3 4 5 15 16
(if x <= 0 then 1 else (((x + 2) - (((x div (2 + 1)) - x) div (2 + 1))) + 1))
A288857: 1 5 6 7 8 10 11 12 13 14 16 17 18 19 21 22
loop(\(x,i).(i * x),x,(((((x * x) * (2 + 1)) + x) * (2 + 1)) + 1))
A082036: 1 13 86 546 3768 28920 246960 2333520 24232320 274700160 3378412800 44826566400 638509132800 9720379468800 157531172198400 2708193616128000
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) * (2 + 1)) + 1)
A176003: 1 4 7 13 19 31 37 49 55 67 85 91 109 121 127 139
loop(\(x,i).(((i + 1) * x) * (2 + 1)),(((x + 1) * x) * (2 + 1)),1)
A080657: 1 3674160 4611686018427387903 4611686018427387903
A080662-A080661-A080660-A080659-A080658-A080656-A075152-A074914: 1 3674160 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x div 2) * x),1,(0 - ((((x + 1) * x) * (2 + 1)) + 1)))
A079903: 1 28 190 703 1891 4186 8128 14365 23653 36856 54946 79003 110215 149878 199396 260281
(((loop(\(x,i).(x * 2),(x div 2),((x - 1) div 2)) + x) div (2 + 1)) + 1)
A004693: 0 1 1 2 3 5 8 11 19
loop(\(x,i).(x * 2),(1 - ((((x div (0 - 2)) mod 2) - x) div (2 + 1))),1)
A046971: 2 2 4 4 8 8 8 16 16 16 16 32 32 32 64 64
((((x div ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2))) - x) mod (2 + 1)) + 1)
A115362: 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 3
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) * (2 + 1)) + 1)
A132227: 1 4 10 16 28 34 46 52 64 82 88 106 118 124 136 154
(if (((x + 1) div ((x mod (2 + 2)) + 1)) mod 2) <= 0 then (x div (2 + 1)) else 1)
A156839: 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 5
(if (x - 1) <= 0 then 0 else (((((x * x) + 1) div 2) - (x div (2 + 1))) + 1))
A337503: 0 0 3 5 8 13 17 24 31 39
(((((if (x - 1) <= 0 then x else 2) + 1) * (x + 2)) + (x div (2 + 1))) + 1)
A061289: 3 7 13 17 20 23
(loop(\(x,i).((2 + 1) * x),(2 - (x div 2)),1) * ((x div (2 + 1)) + 1))
A226204: 9 9 3 6 2 2
((if (x mod 2) <= 0 then (x div ((2 + 2) + 1)) else 2) mod ((x div (2 + 1)) + 1))
A254690: 0 0 0 0 0 0 1 2 1 2 2 2 2 2 2 2
((if x <= 0 then 1 else x) - ((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)))
A070320: 1 1 2 2 4 4 6 6 6 6 10 10 12 12 12 12
(x mod ((loop(\(x,i).(x div (2 - (x mod 2))),2,x) * (x div (2 + 1))) + 1))
A193508: 0 0 0 3 0 5 6 7 3 9 10 11 12 13 14 15
(loop(\(x,i).((x + 1) * (2 + 1)),(x div (2 + 1)),(x mod (2 + 1))) + 1)
A329774: 1 2 3 4 7 10 13 22 31 40 67 94 121 202 283 364
((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x * 2)) - (x mod (2 + 1))) + 1)
A246444: 2 3 4 8 9 10 15 16 17 21 22 23 27 28 29 33
(if x <= 0 then 1 else (x div (((x div (2 + 2)) + 2) * ((x mod (2 + 1)) + 1))))
A048141: 1 0 0 1 0 0 2 1 0 2 1 0 2 1 0 3
loop(\(x,i).((x * 2) * (2 + 1)),(((2 + 1) * x) + (x mod (2 + 1))),1)
A067492: 1 1296 1679616 10077696 13060694016 16926659444736 101559956668416 131621703842267136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (((x - loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) * (2 + 1)) - 1))
A328154: 1 ~1 3 ~5 5 ~3 7 ~13 9 ~5 11 ~15 13 ~7 15 ~29
((loop(\(x,i).((((x * x) * x) * (x - 1)) + 2),x,x) div (2 + 1)) + 1)
A128935: 1 1 3001 4611686018427387903 4611686018427387903
((((x + 2) * x) mod ((if ((x div (2 + 1)) - 2) <= 0 then x else 2) + 1)) + 1)
A066750: 1 2 3 4 5 6 7 8 9 1 1 3 1 1 3 1
(((0 - (((x mod 2) * 2) * 2)) mod (loop(\(x,i).(x * 2),x,2) - 1)) + 1)
A287197: 1 3 1 12 1 60 1 252 1 1020 1 4092 1 16380 1 65532
(if x <= 0 then 2 else (((((x * x) + (2 + 2)) * 2) div ((x + 2) + 1)) + 1))
A050418: 2 3 4 5 6 8 9 11 13 15 17 18 20 22 24 26
((loop(\(x,i).(((i + 2) * i) + (x + 2)),x,2) * ((x + 2) + 1)) + 1)
A229795: 7 29 86 205 421 777 1324 2121 3235 4741 6722 9269 12481 16465 21336 27217
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),((x * 2) + 1),1)
A013726: 21 9261 4084101 1801088541 794280046581 350277500542221 154472377739119461 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),((x * 2) + 1),1)
A100033: 3 35 462 6435 92378 1352078 20058300 300540195 4537567650 68923264410 1052049481860 16123801841550 247959266474052 3824345300380220 59132290782430712 916312070471295267
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),((x * 2) + 1),1)
A013727: 22 10648 5153632 2494357888 1207269217792 584318301411328 282810057883082752 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(0 - loop(\(x,i).(2 - ((((2 + 2) + 1) * x) * 2)),((x * 2) + 1),1))
A097818: 8 818 81818 8181818 818181818 81818181818 8181818181818 818181818181818 81818181818181818 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),((x * 2) + 1),1)
A013724: 19 6859 2476099 893871739 322687697779 116490258898219 42052983462257059 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((x * 2) + 1),1)
A013728: 23 12167 6436343 3404825447 1801152661463 952809757913927 504036361936467383 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) - 1) * x),((x * 2) + 1),1)
A262716: 31 29791 28629151 27512614111 26439622160671 25408476896404831 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),((x * 2) - 1),1)
A259557: 1 3 35 462 6435 92378 1352078 20058300 300540195 4537567650 68923264410 1052049481860 16123801841550 247959266474052 3824345300380220 59132290782430712
(((x mod 2) + 1) div ((if ((x mod (2 + 1)) - 1) <= 0 then (x div 2) else 1) + 1))
A105348: 1 2 0 1 0 1 0 0 0 0 0 1 0 0 0 0
(2 div ((((if (x mod (2 + 1)) <= 0 then x else 0) + 1) mod ((x div 2) + 1)) + 1))
A090406: 2 2 1 2 1 1 0 1 1 2 1 1 0 1 1 2
((x + 2) mod ((loop(\(x,i).((0 - x) * 2),x,1) mod ((x div 2) + 1)) + 1))
A283979: 0 0 0 0 0 1 0 0 0 3 2 3 0 3 0 0
(if (((((x div 2) * x) div (2 + 2)) + 1) mod 2) <= 0 then ((x div 2) - 1) else 1)
A180184: 1 1 1 1 1 1 1 2 1 3 1 4 1 5 1 1
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x div ((x mod 2) + 1)),1)
A290233: 1 1 111 11 11111 111 1111111 1111 111111111 11111 11111111111 111111 1111111111111 1111111 111111111111111 11111111
(loop(\(x,i).(2 - (((x * 2) * 2) mod (((2 + 1) * 2) + 1))),x,1) + 1)
A174737: 2 ~1 ~3 ~2 1 3 2 ~1 ~3 ~2 1 3 2 ~1 ~3 ~2
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),((((2 + 2) + 1) * x) + 1),1)
A013862: 12 2985984 743008370688 184884258895036416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((((2 + 2) + 1) * x) + 1),1)
A013854: 10 1000000 100000000000 10000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013842: 7 117649 1977326743 33232930569601 558545864083284007 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),(((2 + 1) * x) + 1),1)
A013766: 20 160000 1280000000 10240000000000 81920000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(((2 + 1) * x) + 1),1)
A013756: 15 50625 170859375 576650390625 1946195068359375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),(((2 + 1) * x) + 1),1)
A013762: 18 104976 612220032 3570467226624 20822964865671168 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),(((2 + 1) * x) + 1),1)
A013774: 24 331776 4586471424 63403380965376 876488338465357824 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(((2 + 1) * x) + 1),1)
A013754: 14 38416 105413504 289254654976 793714773254144 2177953337809371136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x + 1) * x) div 2),x,2) * (((2 + 1) * x) + 1)) + 1)
A062609: 3 13 43 211
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(((2 + 1) * x) + 1),1)
A013752: 13 28561 62748517 137858491849 302875106592253 665416609183179841 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((2 + 1) * x) + 1),1)
A013748: 11 14641 19487171 25937424601 34522712143931 45949729863572161 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((2 + 1) * x) + 1),1)
A013760: 17 83521 410338673 2015993900449 9904578032905937 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * x),2,(x + 1)) * (((x + 1) * x) + 1)) + 1)
A053716: 7 127 1093 5461 19531 55987 137257 299593 597871 1111111 1948717 3257437 5229043 8108731 12204241 17895697
((loop(\(x,i).(((x * x) + 2) * 2),2,1) * (((x + 2) * x) + 1)) - 1)
A158765: 75 303 683 1215 1899 2735 3723 4863 6155 7599 9195 10943 12843 14895 17099 19455
((loop(\(x,i).((x * x) * x),2,(x + 1)) * (((x + 2) * x) + 1)) - 1)
A258812: 0 2047 177146 4194303 48828124 362797055 1977326742 8589934591 31381059608 99999999999 285311670610 743008370687 1792160394036 4049565169663 8649755859374 17592186044415
((loop(\(x,i).(((x * x) - 1) * 2),2,2) * (((x + 2) * x) + 1)) - 1)
A158736: 69 279 629 1119 1749 2519 3429 4479 5669 6999 8469 10079 11829 13719 15749 17919
((loop(\(x,i).(((x + 1) * x) + 2),2,2) * (((x + 2) * x) + 1)) - 1)
A158744: 73 295 665 1183 1849 2663 3625 4735 5993 7399 8953 10655 12505 14503 16649 18943
(((loop(\(x,i).((x + 2) * x),2,2) - 2) * (((x + 2) * x) + 1)) - 1)
A158771: 77 311 701 1247 1949 2807 3821 4991 6317 7799 9437 11231 13181 15287 17549 19967
((loop(\(x,i).((i + x) + (x * x)),2,2) * (((x + 2) * x) + 1)) - 1)
A158668: 57 231 521 927 1449 2087 2841 3711 4697 5799 7017 8351 9801 11367 13049 14847
((loop(\(x,i).(((x + 2) * (x + 2)) * (i + 2)),2,0) * (x + 1)) - 1)
A158399: 783 1567 2351 3135 3919 4703 5487 6271 7055 7839 8623 9407 10191 10975 11759 12543
(((loop(\(x,i).((i + x) * x),2,((2 + 2) + 1)) + 1) * (x + 1)) + 1)
A158414: 962 1923 2884 3845 4806 5767 6728 7689 8650 9611 10572 11533 12494 13455 14416 15377
((loop(\(x,i).(i + 2),(x mod (((2 + 2) + 1) * 2)),1) mod (x + 1)) - 1)
A331375: ~1 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6
(((loop(\(x,i).(((x * x) * (2 + 2)) - 1),2,2) + 1) * (x + 1)) + 1)
A158407: 901 1801 2701 3601 4501 5401 6301 7201 8101 9001 9901 10801 11701 12601 13501 14401
(((if ((x - 2) mod (((x mod 2) + 2) + 2)) <= 0 then 2 else 1) * (x + 1)) + 1)
A201363: 2 3 7
A076986: 2 3 7 5 6 7 15 17 10 11 23 13 14 15 31 17
((((((if ((x div 2) - 2) <= 0 then x else 2) + 2) * 2) + 1) mod (x + 1)) + 1)
A308432: 1 2 1 4 4 4 3 2 1 10 10 10 10 10 10 10
((((if ((x - 1) mod (2 + 2)) <= 0 then 2 else (x mod 2)) + 1) mod (x + 1)) + 1)
A111336: 1 2 2 3 2 4 2 3 2 4 2 3 2 4 2 3
(compr(\x.((loop(\(x,i).(x * 2),(x div 2),1) + 1) mod (x + 1)),(x + 1)) + 1)
A042999: 2 3 5 11 13 19 29 37 43 53 59 61 67 83 101 107
loop(\(x,i).((x * x) * x),1,((((2 + 2) * (x + 1)) * (x + 1)) - 1))
A069076: 27 3375 42875 250047 970299 2924207 7414875 16581375 33698267 63521199 112678587 190109375 307546875 480048687 726572699 1070599167
loop(\(x,i).(x - ((((2 + 2) + 1) * x) div ((0 - i) - 1))),(x + 1),1)
A036837: 4 11 25 50 92 158 257 400 600 873 1237 1713 2325 3100 4069 5266
(x mod ((loop(\(x,i).((0 - x) * x),2,((2 + 1) * 2)) mod (x + 1)) + 1))
A246004: 0 0 0 0 4 0 6 0 0 4 1 0 2 6 4 0
((1 - x) mod ((loop(\(x,i).(x * 2),x,((x + 1) mod 2)) mod (x + 1)) + 1))
A318659-A318513: 0 0 1 0 1 0 1 0 3 0 1 0 1 0 2 0
loop(\(x,i).((x - (((x - ((i * x) * 2)) * 2) * 2)) * 2),(x + 1),1)
A268730: 10 260 10920 633360 46868640 4218177600 447126825600 54549472723200 7527827235801600 1159285394313446400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 2) * x) * (x - 2)),1,(((2 + 2) * (x + 1)) - 1))
A133766: 15 315 1287 3315 6783 12075 19575 29667 42735 59163 79335 103635 132447 166155 205143 249795
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 2) * (x + 1)) - 1))
A016841: 243 16807 161051 759375 2476099 6436343 14348907 28629151 52521875 90224199 147008443 229345007 345025251 503284375 714924299 992436543
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) div (((2 + 2) * (x + 1)) - 1))
A191640: 1 2 5 17 53 178 606 2114 7489 26886 97541 356962 1315860 4880644 18199013 68174084
(2 div (((if (x mod (2 + 1)) <= 0 then 1 else (x - (2 + 2))) * (x + 1)) + 1))
A185778: 1 ~1 ~1 0 2 0 0 0 0 0 0 0 0 0 0 0
((((if (2 - x) <= 0 then (((x + 2) * 2) + 1) else x) * 2) * (x + 1)) + 1)
A307991: 1 5 55 89
((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) mod (x + 1)) + 1)
A059289: 1 1 3 3 3 1 3 7 3 7 3 5 3 7 1 7
((if (((x div (2 + 1)) - 2) - 2) <= 0 then x else ((x + 2) * (x + 1))) + 1)
A246337: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 273
((x div 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 1))
A336551-A292380: 0 0 0 1 0 0 0 3 2 0 0 1 0 0 0 7
(((loop(\(x,i).(x * 2),x,((x mod 2) + 2)) - (x mod 2)) mod (x + 1)) + 1)
A079065: 1 2 3 4 3 6 3 8 9 6 3 12 3 6 9 16
(((x * 2) - (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) + 1)
A339597: 1 2 5 4 9 10 13 8 17 18 21 20 25 26 29 16
((2 - (x div (2 + 2))) mod (if ((x + 1) mod (2 + 2)) <= 0 then (x - 1) else 1))
A127708: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 13
((if ((x mod (((x - 1) mod (2 + 2)) + 1)) mod 2) <= 0 then (x * x) else 1) + 1)
A172411: 1 2 5 10
A059591: 1 2 5 10 17 26 37 2 65 82 101 122 145 170 197 226
((if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 0 else 2) + 1)
A046540: 1 1 1 1 3 1 1 3 3 1 1 3 3 3 1 1
(((if (x mod 2) <= 0 then (((1 - x) * x) mod ((2 + 2) + 1)) else 0) div 2) + 1)
A161223: 1 1 2 1 2 1 1 1 3 1 1 1 2 1 2 1
((if ((x mod (((2 + 2) * (2 + 1)) - 1)) mod (2 + 1)) <= 0 then 0 else 2) + 1)
A103585: 1 3 3 1 3 3 1 3 3 1 3 1 3 3 1 3
((x div (2 + 2)) div ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 2) + 1))
A262257: 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1
((if (x mod ((((x mod (2 + 1)) div 2) * (2 + 1)) + 2)) <= 0 then 0 else 2) + 1)
A064353: 1 3 3 3 1 1 1 3 3 3 1 3 1 3 3 3
((x * 2) - (x div ((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A023767: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 24 25
((if (((x div (2 + 2)) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 0 else 2) + 1)
A081334: 3 3 3 3 1 3 3 3 3 1 3 3 1 3 1 3
(((x mod 2) - (if (x mod (((2 + 2) mod (x + 2)) + 2)) <= 0 then 0 else 2)) - 1)
A308567: ~1 ~2 ~1 ~2 ~3 ~2 ~1 ~2 ~3 ~2 ~3 ~2 ~1 ~2 ~3 ~2
(if (((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) <= 0 then (0 - 2) else 1)
A317335: 1 1 ~2 1 1 ~2 ~2 1 1 1 ~2 ~2 1 ~2 ~2 1
((loop(\(x,i).((i - (((x div (2 + 2)) - 1) div 2)) + x),x,0) div 2) + 1)
A241907: 1 2 3 5 7 9 11 14 17 20 23 26 29 33 36 40
(((((x div (((2 + 1) * 2) + 1)) * 2) + (if x <= 0 then 0 else 1)) * 2) + 1)
A122916: 1 3 3 3 3
A343515: 1 3 3 3 3 3 3 7 7 7 7 7 7 7 11 11
((x * 2) div (((x div ((if (x mod (2 + 2)) <= 0 then 2 else 1) + 1)) * 2) + 1))
A327491: 0 2 1 2 2 2 1 2 3 2 1 2 2 2 1 2
((if (x - 1) <= 0 then x else (((((x + 1) div 2) div (2 + 1)) + 1) * 2)) + 1)
A284397: 1 2 3 3 3 5 5 5 5 5 5 7 7 7 7 7
(if x <= 0 then 0 else ((((0 - x) mod (((x * 2) div (2 + 1)) + 1)) div 2) + 1))
A071335: 0 1 1 1 2 2 3 2 3 3 3 3 4 3 4 4
(((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 1) * 2) - 1)
A101025: 1 1 1 1 1 1 1 1 1 5 1 1 1 1 7 1
loop(\(x,i).(((2 + 2) + 1) * x),((((2 + 2) * (x + 1)) - 1) * 2),1)
A191560: 15625 6103515625 2384185791015625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),(x + 1),1) - 2) - 1)
A205084: 11 141 1441 14441 144441 1444441 14444441 144444441 1444444441 14444444441 144444444441 1444444444441 14444444444441 144444444444441 1444444444444441 14444444444444441
((x * 2) div (((loop(\(x,i).((x mod (i + 1)) + i),x,1) + 1) div 2) + 1))
A124830: 0 1 1 2 1 2 1 2 2 3 1 2 2 2 3 1
(x - (((2 - x) div ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) + 2)) - 1))
A337050-A336590-A000452: 1 2 3 5 6 7 8 10 11 13 14 15 16 17 19 21
(if (x - 1) <= 0 then 1 else (x - (((x div (((2 + 1) * 2) + 1)) * 2) + 1)))
A284000: 1 1 1 2 3 4 5 4 5 6 7 8 9 10 9 10
(if x <= 0 then 2 else (((x - (x div ((((x div 2) + 1) div 2) + 1))) mod 2) + 1))
A105690: 2 1 2 1 1 2 1 2 1 1 1 2 2 1 1 1
(loop(\(x,i).(((x div 2) + x) * (x + 2)),(((x + 1) * 2) + 1),2) + 1)
A116265: 96013 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x div 2) + x) * (x + 2)),(((x + 1) * 2) + 1),2) - 1)
A116228: 96011 4611686018427387903 4611686018427387903 4611686018427387903
((((if (x - 2) <= 0 then x else (x - (x div ((0 - 2) - 2)))) + 1) * 2) + 1)
A319801: 3 5 7 11 13 17 19 21 23 27 29 31 33 37 39 41
((((loop(\(x,i).((x * x) * x),((x * 2) - 1),2) * 2) - 1) * 2) - 1)
A172041: 5 29 536870909 4611686018427387903
(((x mod ((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) * 2) + 1)) mod 2) + 1)
A205600: 1 2 1 1 1 2 1 2 1 1 2 1 1 1 2 1
((x div (if ((x mod (2 - (x mod ((0 - 2) - 2)))) - 2) <= 0 then 1 else 2)) + 1)
A074044: 1 2 3 4 5 6 7 8 9 5 11 12 13 7 15 16
(if (2 - x) <= 0 then (((x * x) div ((((2 + 2) * 2) * 2) - 1)) + 2) else 1)
A029023: 1 1 2 2 3 3 4 5 6 7 8 10 11 13 15 17
(((if (x - 1) <= 0 then x else (((x mod ((x mod 2) + 2)) mod 2) + 1)) * 2) + 1)
A122916: 1 3 3 3 3
A333819: 1 3 3 3 3 3 3 5 3 3 3 3 3 5 3 3
((if ((x mod (1 - ((2 + 2) * (2 + 1)))) mod (2 + 2)) <= 0 then 1 else 2) + 1)
A007538: 2 3 3 2 3 3 3 2 3 3 3 2 3 3 2 3
(((loop(\(x,i).((0 - x) * 2),x,(2 + 1)) div ((2 + 2) + 1)) * 2) + 1)
A078066: 1 ~3 5 ~9 19 ~39 77 ~153 307 ~615 1229 ~2457 4915 ~9831 19661 ~39321
((if (x - 1) <= 0 then x else ((((x * x) * 2) div ((2 + 2) + 1)) + 2)) + 1)
A231408: 1 2 4 6 9
A006697: 1 2 4 6 9 13 17 22 28 35 43 51 60 70 81 93
((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod (((2 + 2) + 1) * 2)) + 1)
A099551: 1 1 3 1 5 3 7 1 9 5 1 3 3 7 5 1
(loop(\(x,i).((x - ((2 + 2) * 2)) * x),x,(((2 + 2) + 1) * 2)) + 1)
A110383: 11 21 241 55681 3099816961 4611686018427387903 4611686018427387903 4611686018427387903
((if (x - 2) <= 0 then x else (x - (((2 - x) div ((2 + 2) + 1)) - 2))) + 1)
A299497: 1 2 3 7 8 9 10 11 13 14 15 16 17 19 20 21
(1 div ((((if (x mod 2) <= 0 then (1 - x) else x) mod ((2 + 2) + 1)) * 2) - 1))
A016392-A016379-A016375-A016361-A016352-A016344-A014019: 1 1 0 0 0 ~1 ~1 0 0 0 1 1 0 0 0 ~1
(((((x div 2) + 1) div (2 + 1)) * (if (x - (2 + 2)) <= 0 then 1 else 2)) + 1)
A284725: 1 1 1 1 2 3 3 3 3 3 5 5 5 5 5 5
(((x + 1) * 2) - ((1 - x) div ((if (x - (2 + 2)) <= 0 then 1 else 2) + 1)))
A304501: 2 4 7 9 12 14 16 18 21 23 25 28 30 32 35 37
(if x <= 0 then 2 else (((x - ((2 + 2) mod ((x div (2 + 2)) + 1))) div 2) + 1))
A285578: 2 1 2 2 3 3 4 4 4 5 5 6 7 7 8 8
((((((if (x - 1) <= 0 then x else 2) + x) + (x div (2 + 2))) + 1) * 2) + 1)
A158942: 3 7 11 13 17 19 21 23 27 29 31 33 37 39 41 43
((((if x <= 0 then 1 else x) mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + 1)
A230799: 2 1 1 1 1 2 1 1 1 2 1 2 1 2 2 1
((if x <= 0 then 2 else ((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)) + 1)
A117544: 3 1 1 1 1 2 1 1 1 2 1 2 1 2 2 1
((x * 2) div ((((if (x - 2) <= 0 then 0 else ((x mod 2) + 2)) + 1) * 2) + 1))
A070093: 0 0 1 0 1 1 1 1 2 2 2 2 3 2 4 3
((((loop(\(x,i).((2 - x) * 2),x,1) mod (x + 1)) div (2 + 1)) * 2) + 1)
A346095: 1 1 1 1 1 1 1 3 5 1 1 1 1 1 1 9
(((if (x - 1) <= 0 then x else ((((x * x) - 1) div 2) mod (2 + 1))) * 2) - 1)
A226915: ~1 1 1 1 1 ~1 3 ~1 1 1 1 ~1 3 ~1 1 1
loop(\(x,i).(x * 2),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A151565-A060632: 1 1 2 2 2 2 4 4 2 2 4 4 4 4 8 8
(if x <= 0 then 1 else (((x + 2) mod ((((x div 2) * 2) div (2 + 1)) + 2)) - 1))
A097454: 1 0 ~1 0 ~1 0 ~1 0 1 2 1 2 1 2 3 4
((if x <= 0 then 2 else ((((((x + 2) + 1) * x) div 2) * (2 + 1)) div 2)) - 1)
A175967: 1 2 6 12 20 29 39 51 65 80 96 114 134 155 177 201
((if x <= 0 then 1 else ((x - ((((x mod 2) - x) * 2) * (2 + 1))) * 2)) + 1)
A028868: 2 3 29 31
(if (x div 2) <= 0 then 0 else ((x * x) mod ((((x div 2) div (2 + 1)) + 2) + 1)))
A343720: 0 0 1 0 1 1 0 1 0 1 0 1 4 4 1 0
(if x <= 0 then 1 else (((x - 2) mod ((((x * x) div 2) mod (2 + 1)) + 2)) - 1))
A317161: 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 ~1 0 ~1 0
(((x - (if (x - ((2 + 1) * 2)) <= 0 then 1 else 0)) mod ((2 + 1) * 2)) + 1)
A106687: 6 1 2 3 4 5 6 2 3 4 5 6 1 2 3 4
((x mod ((x + 1) div (if (x - (2 + 2)) <= 0 then 1 else ((2 + 1) * 2)))) + 1)
A255826: 1 2 3 4 5 1 1 1 1 1 1 2 1 2 1 2
(if ((((x + 1) div 2) + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 1) * 2) else 1)
A046620-A046619: 1 1 1 1 1 1 1 1 1 1 1 1 1 6 6 1
(x - (x div (if ((x mod ((x mod 2) + 2)) div 2) <= 0 then ((2 + 1) * 2) else 1)))
A181578: 0 1 2 3 4 0 5 6 7 8 9 0 10 11 12 13
((x - ((if x <= 0 then 1 else x) div ((x div (2 + 2)) - ((2 + 1) * 2)))) + 1)
A063538: 2 3 4 5 6 7 9 10 11 13 14 15 17 19 20 21
(((2 - ((if x <= 0 then 1 else x) mod 2)) * (2 + 1)) * (((2 + 1) * 2) + 1))
A040421: 21 21 42 21 42 21 42 21 42 21 42 21 42 21 42 21
(loop(\(x,i).(((x * 2) * 2) * 2),x,(x + 1)) * (((2 + 1) * 2) + 1))
A212702: 7 112 1344 14336 143360 1376256 12845056 117440512 1056964608 9395240960 82678120448 721554505728 6253472382976 53876069761024 461794883665920 3940649673949184
(loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod (((2 + 1) * 2) + 1))
A099548: 1 1 3 1 5 3 0 1 2 5 4 3 6 0 1 1
((loop(\(x,i).((x - i) * x),2,(x - 1)) div 2) div (((2 + 1) * 2) + 1))
A011924: 0 0 0 0 1 8 25 60 120 216 360 565 848 1225 1716 2340
((((2 - (x mod 2)) * 2) * (if x <= 0 then 1 else 2)) * (((2 + 1) * 2) + 1))
A040757: 28 28 56 28 56 28 56 28 56 28 56 28 56 28 56 28
(((loop(\(x,i).((x + 2) * 2),x,1) * 2) * 2) * (((2 + 1) * 2) + 1))
A305270: 28 168 448 1008 2128 4368 8848 17808 35728 71568 143248 286608 573328 1146768 2293648 4587408
(if x <= 0 then 1 else ((x - (x div ((2 + 2) * 2))) * (((2 + 1) * 2) + 1)))
A020646: 1 7 14 21 28 35 42 49 49 56 63 70 77 84 91 98
(((loop(\(x,i).((2 - x) * 2),x,2) * 2) * 2) div (((2 + 1) * 2) + 1))
A077903: 1 0 2 ~3 6 ~12 25 ~48 98 ~195 390 ~780 1561 ~3120 6242 ~12483
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else 2) mod (((2 + 1) * 2) + 1))
A309958: 0 1 2 3 4 5 6 0 1 2 3 4 5 6 0 2
(x - loop(\(x,i).((x * x) * 2),1,((x + 2) div (((2 + 1) * 2) + 1))))
A227181: 0 1 2 3 4 3 4 5 6 7 8 9 4 5 6 7
(loop(\(x,i).(((x * 2) * 2) * 2),x,(x + 2)) * (((2 + 1) * 2) + 1))
A159738: 14 168 1792 17920 172032 1605632 14680064 132120576 1174405120 10334765056 90194313216 781684047872 6734508720128 57724360458240 492581209243648 4186940278571008
((if x <= 0 then 2 else ((x + 1) * (2 + 1))) + (x div (((2 + 1) * 2) + 1)))
A120701: 2 6 9 12 15 18 21 25 28 31 34 37 40 43 47 50
loop(\(x,i).((x div (((2 + 1) * 2) + 1)) + x),x,(((2 + 1) * 2) + 1))
A182308-A023388: 7 8 9 10 11 12 13 14 16 18 20 22 25 28 32 36
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) + x),x,(((2 + 1) * 2) + 1))
A102041: 7 14 18 26 32 34 38 46 52 54 58 66 72 74 78 86
(((((if ((x div (2 + 2)) - 2) <= 0 then 2 else 0) + x) div (2 + 1)) * 2) + 1)
A080605: 1 3 3 3 5 5 5 7 7 7 9 9 9 9 9 11
((if x <= 0 then 1 else (((((x div 2) + x) + 1) + (x div (2 + 1))) * 2)) + 1)
A063203: 2 5 9 13 17 19 25 27 31 35 39 41 47 49 53 57
((if x <= 0 then 1 else (((x - (x div (0 - 2))) - (x div (2 + 1))) * 2)) - 1)
A063081: 0 3 5 7 9 13 13 17 19 21 23 27 27 31 33 35
((loop(\(x,i).((x div (2 - (x mod 2))) + 1),x,(x div (2 + 1))) div 2) + 1)
A082863: 1 1 2 2 2 2 2 2 2 3 2 3 3 2 3 2
(((if (x mod 2) <= 0 then 1 else (x div (2 + 1))) * ((x mod (2 + 1)) div 2)) + 1)
A233285-A233284: 1 1 2 1 1 2 1 1 2 1 1 4 1 1 2 1
(((if ((x div 2) mod 2) <= 0 then 2 else (x mod 2)) - ((x mod (2 + 1)) div 2)) - 1)
A115525: 1 1 ~2 0 1 0 ~1 0 0 1 ~1 ~1 1 1 ~2 0
(((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) + 1) * 2) + 1)
A173193: 7 27 227 2227 22227 222227 2222227 22222227 222222227 2222222227 22222222227 222222222227 2222222222227 22222222222227 222222222222227 2222222222222227
(if x <= 0 then 0 else ((((((x * x) div 2) * x) div ((x + 2) + 1)) mod 2) + 1))
A182907: 0 1 1 1 1 2 1 1 2 1 1 2 2 1 1 2
(((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 0) * (((x div 2) + 1) div 2)) + 1)
A028277: 1 1 1 1 1 1 5 5 1 1 1 1 7 7 1 1
((loop(\(x,i).((x + 2) * 2),((x * 2) - 1),((x mod 2) + 1)) div 2) + 1)
A263245: 1 5 19 95 319 1535 5119 24575 81919 393215 1310719 6291455 20971519 100663295 335544319 1610612735
loop(\(x,i).(x * x),(2 + 1),((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017312: 6561 815730721 78310985281 1406408618241 11688200277601 62259690411361 248155780267521 806460091894081 2252292232139041 5595818096650401 12667700813876161 26584441929064321 52389094428262881
loop(\(x,i).((x * x) * x),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017307: 27 2197 12167 35937 79507 148877 250047 389017 571787 804357 1092727 1442897 1860867 2352637 2924207 3581577
loop(\(x,i).((x * x) * x),2,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017313: 19683 10604499373 1801152661463 46411484401953 502592611936843 3299763591802133 15633814156853823 58871586708267913 186940255267540403 520411082988487293 1304773183829244583 3004041937984268273
((loop(\(x,i).((((((x div 2) + 1) * x) div 2) + 2) + 1),x,1) * 2) + 1)
A253850: 3 7 13 31 127
((loop(\(x,i).(((x mod ((x mod 2) + 2)) + (x * 2)) - 1),x,1) * 2) - 1)
A147758: 1 3 5 9 21 45 93 189 381 765 1533 3069 6141 12285 24573 49149
((loop(\(x,i).(((((i * i) + (x - 1)) * x) * x) + 1),x,1) div 2) + 1)
A290873: 1 2 11 6396
((loop(\(x,i).(((((2 + 1) * i) * (i + 1)) + x) * 2),x,1) * 2) - 1)
A026917: 1 27 127 399 1039 2439 5383 11439 23743 48567 98455 198495 398863 799911 1602343 3207567
((((loop(\(x,i).(x - (x div (2 + 2))),2,(x div 2)) + x) + 1) * 2) + 1)
A285519: 3 5 9 11 15 17 21 23 25 27 29 31 35 37 41 43
(((loop(\(x,i).(0 - x),x,(x mod ((2 + 2) + 1))) mod (x + 1)) div 2) + 1)
A275937: 1 1 2 1 3 1 1 4 2 4 1
(loop(\(x,i).(((((x * x) + 1) * x) * (x + 1)) + 2),(x + 1),2) - 1)
A051155: 31 1082401 4611686018427387903 4611686018427387903
((x div ((loop(\(x,i).(x * 2),x,((x mod 2) - 2)) mod (x + 1)) + 2)) + 1)
A128708-A087653: 1 1 1 2 1 1 1 4 3 1 1 2 1 1 2 8
((((loop(\(x,i).((x * x) * x),(x * x),2) * 2) + (x + 1)) * 2) + 1)
A057664: 11 37 4611686018427387903 4611686018427387903
(2 - (2 div (((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2) + 1)))
A294891-A294879-A087624: 0 0 0 1 0 2 0 1 1 2 0 2 0 2 2 1
((x + 1) div (((loop(\(x,i).(x * 2),x,(x mod 2)) mod (x + 1)) div 2) + 1))
A319677-A294650: 1 2 3 4 5 3 7 8 9 5 11 2 13 7 15 16
loop(\(x,i).((((((x + 2) * x) * 2) - 1) * x) + 1),((x + 1) * 2),1)
A144956: 571 4611686018427387903 4611686018427387903 4611686018427387903
((((x * 2) * 2) - (if (2 - x) <= 0 then 1 else 0)) * (((x + 1) * 2) + 1))
A303295: 0 20 49 99 165 247 345 459 589 735 897 1075 1269 1479 1705 1947
(loop(\(x,i).(x * 2),x,(((x + 2) + 2) + 2)) * (((x + 1) * 2) + 1))
A059224: 18 70 224 648 1760 4576 11520 28288 68096 161280 376832 870400 1990656 4513792 10158080 22708224
((loop(\(x,i).((x - i) * x),2,(x + 2)) div 2) div (((x + 1) * 2) + 1))
A278212: 0 2 8 20 38 64
A032767: 0 2 8 20 38 64 100 148 208 282 373 480 606 753 921 1112
(loop(\(x,i).(((x * 2) * 2) * (i + 1)),x,2) * (((x + 1) * 2) + 1))
A167570: 6 80 1344 27648 675840 19169280 619315200 22460497920 903704739840 39953262182400 1925366729932800 100453916344320000 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x - 1) mod ((x mod ((x mod 2) + 2)) + 2)) <= 0 then ((x + 1) div 2) else 1)
A049077: 1 1 1 2 1 3 1 4 1 5 1 1 1 7 1 8
(loop(\(x,i).((i + 1) * x),x,((x div 2) + 1)) div (((x + 1) div 2) + 1))
A068941: 1 1 6 16
A152663: 1 1 6 16 120 540 5040 32256 362880 3024000 39916800 410572800 6227020800 76281004800 1307674368000 18598035456000
(((if (2 - x) <= 0 then x else (x + 1)) + (x * 2)) div (((x + 1) div 2) + 1))
A049108: 1 2 3 3 4 3 4 4 4 4 5 4 5 4 5 5
((loop(\(x,i).(x - (((x div 2) - 2) * (2 + 1))),x,(x + 1)) div 2) - 1)
A020944: ~1 1 0 1 1 0 1 1 2 1 1 0 1 1 2 1
(((x - (x div loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)))) div 2) + 1)
A109168: 1 2 2 4 3 4 4 8 5 6 6 8 7 8 8 16
((x + 1) div (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then ((x - 1) div 2) else 1))
A160597: 1 2 3 4 5 6 7 8 3 10 11 12 13 2 15 16
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),((x - 1) div 2),1)
A208355: 1 1 1 2 2 5 5 14 14 42 42 132 132 429 429 1430
(((x + 2) + 1) div ((((x mod (2 + 1)) + 2) * (if x <= 0 then 1 else 2)) + 1))
A025831: 1 0 0 1 1 0 1 1 1 2 1 1 3 2 1 3
(((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)
A194584: 5 3 5 5 3 5 3 5 5 3 5 5 3 5 3 5
((((x div 2) + 2) mod ((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) + 2)) + 1)
A112050: 1 1 2 2 1 1 2 2 1 1 4 4 1 1 2 2
loop(\(x,i).(i * x),(2 - ((2 - x) div (1 - (x div ((0 - 2) - 2))))),1)
A178801: 1 2 2 6 6 6 24 24 24 24 24 120 120 120 120 120
loop(\(x,i).((x * x) * (2 + 1)),1,(((x - (x div (0 - 2))) * 2) + 1))
A229852: 3 75 147 363 507 867 1083 1587 1875 2523 2883 3675 4107 5043 5547 6627
(((loop(\(x,i).(((((i + 2) * i) div 2) + x) + 2),x,0) div 2) div 2) + 1)
A106607: 1 1 3 5 9 13 20 28 39 51 67 85 107 131 160 192
(if x <= 0 then 0 else (((((x - 2) div ((x div (2 + 1)) + 1)) mod 2) * 2) - 1))
A011612: 0 1 ~1 ~1 1 1 1 1 ~1 1 ~1 ~1 ~1 ~1 ~1 ~1
((((loop(\(x,i).((i + x) * 2),x,((x mod 2) + 1)) + 1) div 2) * 2) + 1)
A051842: 3 7 13 39 69
((if x <= 0 then 1 else ((x div ((x div (((2 + 1) * 2) + 1)) + 2)) mod 2)) + 1)
A296299: 2 1 2 2 1 1 2 1 1 2 2 2 1 1 2 2
(((if ((x mod (2 - (x mod ((0 - 2) - 2)))) - 2) <= 0 then 1 else 2) * 2) + 1)
A176171: 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3
(((loop(\(x,i).((i div 2) + x),(x - ((2 + 2) * 2)),1) div 2) * 2) + 1)
A323529: 1 1 1 1 1 1 1 1 1 1 3 3 5 7 11 13
(((((if x <= 0 then 1 else (x div (2 + 1))) mod ((2 + 2) + 1)) mod 2) * 2) - 1)
A063747: 1 ~1 ~1 1 1 1 ~1 ~1 ~1 1 1 1 ~1 ~1 ~1 ~1
loop(\(x,i).((x * x) * x),(x mod 2),(((((2 + 2) + 1) * 2) * 2) + 1))
A135823: 21 9261 21 9261 21 9261
(((if x <= 0 then 1 else x) mod 2) div ((((x div ((2 + 2) + 1)) mod 2) * 2) - 1))
A073097: ~1 ~1 0 ~1 0 1 0 1 0 1 0 ~1 0 ~1 0 1
((((if x <= 0 then 2 else ((x * 2) mod ((x mod (2 + 2)) + 1))) div 2) * 2) - 1)
A332433: 1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 ~1 1 1 ~1 ~1 ~1 1
(((x - ((x mod (((if (x mod 2) <= 0 then x else 2) * 2) + 1)) div 2)) div 2) + 1)
A232479: 1 1 1 2 2 3 2 4 3 4 3 6 4 7 4 8
(((loop(\(x,i).(x * 2),(2 - x),(((x + 2) + 2) + 1)) + 2) + 2) + 1)
A215537: 25 17 12 13 14 15 16 17 18 19 20 21 22 23 24 25
(loop(\(x,i).(((x * 2) * 2) * 2),((((x * 2) * 2) + 1) * 2),2) - 1)
A135982: 127 2147483647 36028797018963967 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x + 2) * 2),x,(((x mod 2) + 2) + 1)) div 2) div 2) + 1)
A133600: 1 4 7 16 28 64 112 256 448 1024 1792 4096 7168 16384 28672 65536
(if x <= 0 then 1 else (x div ((((((x div 2) - 1) mod (2 + 1)) + 2) + 2) + 1)))
A017901-A017866-A017865-A017864: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3
loop(\(x,i).i,(x div (((((x * x) div (2 + 2)) mod (2 + 1)) + 2) * 2)),1)
A123548: 1 1 1 1 1 1 1 1 1 1 1 2 3 3 2 1
((x mod ((if ((x + 1) mod (2 + 2)) <= 0 then 1 else ((2 + 1) * 2)) + 2)) + 1)
A072400: 1 2 3 1 5 6 7 2 1 2 3 3 5 6 7 1
loop(\(x,i).(x * 2),(x div (2 + 1)),((((x mod (2 + 1)) + 2) * 2) + 1))
A336122: 5 7 9 10 14 18 20 28 36 40 56 72 80 112 144 160
(((loop(\(x,i).((x mod ((2 + 2) * 2)) + x),x,(2 + 1)) - 2) * 2) - 1)
A175376: 1 7 19 27 27 27 27 27 27 27 27 27 27 27 27 27
loop(\(x,i).(x * x),(2 + 1),(x - (((((x * 2) + 1) * 2) * 2) + 1)))
A017048: 390625 429981696 16983563041 208827064576 1406408618241 6553600000000 23811286661761 72301961339136 191707312997281 457163239653376 1001129150390625 2044140858654976 3936588805702081
(((loop(\(x,i).((x - ((1 - (x * 2)) * 2)) * 2),x,1) + 2) * 2) + 1)
A165246: 7 17 117 1117 11117 111117 1111117 11111117 111111117 1111111117 11111111117 111111111117 1111111111117 11111111111117 111111111111117 1111111111111117
(((x - ((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2)) div 2) + 1)
A290731: 1 1 2 2 3 2 4 4 4 3 6 4 7 4 6 8
((loop(\(x,i).((x + 1) * (2 + 1)),(x + 2),((x + 1) mod 2)) div 2) + 1)
A198310: 11 20 101 182 911 1640 8201 14762 73811 132860 664301 1195742 5978711 10761680 53808401 96855122
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(((x - 1) div 2) * 2),1)
A283351: 1 1 1 111 111 11111 11111 1111111 1111111 111111111 111111111 11111111111 11111111111 1111111111111 1111111111111 111111111111111
(((x * 2) - ((((x * x) - loop(\(x,i).(i * x),x,1)) div 2) div 2)) + 1)
A254225: 2 3 5 7 11 35
loop(\(x,i).((x * 2) + 1),(0 - (x div ((x div ((0 - 2) - 2)) - 2))),1)
A132197: 1 3 3 3 7 7 7 7 7 7 7 15 15 15 15 15
(if ((x + 1) mod (2 + 2)) <= 0 then 0 else (((x div ((0 - 2) - 2)) mod 2) + 1))
A285193: 1 2 2 0 2 1 1 0 1 2 2 0 2 1 1 0
((((x mod ((if (x mod ((2 + 2) * 2)) <= 0 then x else 1) + 2)) div 2) * 2) + 1)
A139378: 1 1 3 1 1 3 1 1 9
A091840-A038500: 1 1 3 1 1 3 1 1 9 1 1 3 1 1 3 1
(((x * x) div ((((if ((x div 2) - 2) <= 0 then 1 else 2) + 2) * 2) * 2)) + 1)
A029064: 1 1 1 1 2 3 3 4 5 6 7 8 10 11 13 15
((((loop(\(x,i).((x + 2) * 2),((x + 2) + 1),2) * 2) * 2) * 2) + 1)
A304385: 353 737 1505 3041 6113 12257 24545 49121 98273 196577 393185 786401 1572833 3145697 6291425 12582881
(loop(\(x,i).((2 + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A036123: 1 3 9 27 19 26 16 17 20 29 25 13 8 24 10 30
(if (2 - x) <= 0 then (((2 - x) div ((x div ((2 + 2) * 2)) + 2)) mod 2) else 1)
A189091: 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1
loop(\(x,i).i,((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) div 2),1)
A122191-A097847: 1 1 1 1 2 1 1 1 2 1 1 2 2 3 1 1
loop(\(x,i).(x * 2),((x - (((x - (x div (2 + 2))) div 2) mod 2)) div 2),1)
A140839: 1 1 1 2 2 4
A101651: 1 1 1 2 2 4 8 8 8 16 32 32 64 64 64 128
(((((if x <= 0 then 2 else (x * x)) div ((x mod (2 + 2)) + 2)) mod 2) * 2) + 1)
A279340: 3 1 3 3 1 1 3 3 1 3 3 1 1 1 3 3
(((loop(\(x,i).((x * x) * (x div 2)),((x + 2) + 2),2) * 2) * 2) - 1)
A183078: 8796093022207 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).((x * x) div 2),2,((x div 2) - 2)) div 2) div 2) * 2) + 1)
A146237: 1 1 1 1 1 1 1 1 1 1 5 5 17 17 37 37
(if (2 - x) <= 0 then ((x div ((x mod (((x div 2) mod 2) + 2)) + 2)) mod 2) else 1)
A189163-A189129: 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1
((if x <= 0 then 1 else 2) div ((x mod ((((x + 2) mod (2 + 2)) + 2) * 2)) + 1))
A332015: 1 1 0 0 0 0 0 1 2 0 0 0 0 0 0 0
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod ((((2 + 2) * 2) * 2) + 1))
A070394: 1 6 2 12 4 7 8 14 16 11 15 5 13 10 9 3
(loop(\(x,i).((x - i) * x),2,(x - 1)) div ((((2 + 2) * 2) * 2) + 1))
A011927: 0 0 0 0 1 7 21 49 98 177 296 465 698 1009 1413 1927
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * 2) + 1))
A070371: 1 5 8 6 13 14 2 10 16 12 9 11 4 3 15 7
(loop(\(x,i).((x - i) * x),2,(x - 1)) div ((((2 + 2) * 2) * 2) - 1))
A011925: 0 0 0 0 1 8 24 56 112 201 336 528 792 1144 1601 2184
(((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * ((((2 + 2) * 2) * 2) - 1))
A040871: 30 30 60 30 60 30 60 30 60 30 60 30 60 30 60 30
(loop(\(x,i).(x * 2),(x - 1),1) - (x div ((((2 + 2) * 2) * 2) - 1)))
A220469: 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16383
loop(\(x,i).(((x * x) + (2 + 1)) * x),x,((((2 + 2) * 2) * 2) - 1))
A145189: 15 3420 40001698260 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(x - ((2 div (x - (((2 + 2) * 2) * 2))) - 1)))
A144913: 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 324
(x - ((x div ((2 + 2) + 1)) - (if ((x div (2 + 2)) - 2) <= 0 then 2 else 1)))
A121604: 2 3 4 5 6 6 7 8 9
A340767: 2 3 4 5 6 6 7 8 9 10 10 11 11 12 13 13
((if (x - 2) <= 0 then x else ((2 - ((x - (x div (2 + 2))) mod 2)) + 2)) + 1)
A110007: 1 2 3 4 4 5 4 5 5 4 5 4 4 5 4 5
(if (((x div (2 + 2)) + 1) mod ((2 - (x mod (2 + 2))) + 2)) <= 0 then 2 else 1)
A093914: 1 1 1 2 1 1 2 2 1 2 1 2 2 1 2 2
((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 2) * 2) * 2) + 1)
A169830-A100412: 1 73 793 7993 79993 799993 7999993 79999993 799999993 7999999993 79999999993 799999999993 7999999999993 79999999999993 799999999999993 7999999999999993
loop(\(x,i).(x * 2),x,((((((x + 2) * (x + 2)) + 2) * 2) * 2) - 1))
A217529: 23 86 284 856 2416 6496 16832 42368 104192 251392 596992 1398784 3239936 7430144 16891904 38109184
(x - (((loop(\(x,i).(1 - x),(x - 2),((x div 2) + 2)) div 2) div 2) - 1))
A246698: 1 2 3 5 4 7 6 9 8 12 10 14 11 16 13 18
((((loop(\(x,i).((x * 2) * 2),x,(2 - (x mod 2))) + 2) + 2) * 2) + 1)
A108265: 13 17 73 137 1033
((x + 2) div (if ((((x - 2) * 2) mod (x + 2)) mod (2 + 2)) <= 0 then 2 else 1))
A111618: 1 3 2 5 3 7 4 9 10 11 6 13 14 15 8 17
(((if ((x mod ((x mod 2) + 2)) div 2) <= 0 then (x mod 2) else (2 + 2)) * 2) + 1)
A073575: 1 3 1 3 1 9 1 3 1 3 1 9 1 3 1 3
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + ((2 + 2) * 2)) + 1)
A253213: 10 19 109 1009 10009 100009 1000009 10000009 100000009 1000000009 10000000009 100000000009 1000000000009 10000000000009 100000000000009 1000000000000009
((loop(\(x,i).(x * 2),x,1) - (x - ((x + 1) mod ((2 + 2) * 2)))) - 1)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A343844: 1 2 4 8 16 32 64 120
((x + 1) - loop(\(x,i).i,(x mod ((x div (2 + 2)) + ((2 + 2) * 2))),1))
A123895: 0 1 1 1 1 1 1 1 1 1 10 11 12 12 12 12
((loop(\(x,i).((x * 2) * 2),x,(2 - (x mod 2))) + ((2 + 2) * 2)) + 1)
A108264: 11 13 41 73 521
(loop(\(x,i).(((x + 2) * 2) - (x div 2)),x,0) mod (((2 + 2) * 2) + 1))
A140262: 0 4 1 1 6 0 4 6 4 1 6 0 4 6 4 6
(((2 - ((if x <= 0 then 1 else x) mod 2)) * (2 + 1)) * (((2 + 2) * 2) + 1))
A040703: 27 27 54 27 54 27 54 27 54 27 54 27 54 27 54 27
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 2),1) div (((2 + 2) * 2) + 1))
A152776: 7 56 455 3640 29127 233016 1864135 14913080 119304647 954437176 7635497415 61083979320 488671834567 3909374676536 31274997412295 250199979298360
(loop(\(x,i).(((x + 2) * (2 + 1)) + 1),x,1) * (((2 + 2) * 2) + 1))
A277105: 9 90 333 1062 3249 9810 29493 88542 265689 797130 2391453 7174422 21523329 64570050 193710213 581130702
(1 - ((x mod 2) - (loop(\(x,i).(x * 2),x,1) div (((2 + 2) * 2) + 1))))
A328881: 1 0 1 0 2 3 8 14 29 56 114 227 456 910 1821 3640
(loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod (((2 + 2) * 2) + 1))
A099550: 1 1 3 1 5 3 7 1 0 5 2 3 4 7 6 1
(((loop(\(x,i).((i + x) * 2),x,2) - 1) * 2) * (((2 + 2) * 2) + 1))
A059138: 18 90 270 666 1494 3186 6606 13482 27270 54882 110142 220698 441846 884178 1768878
((if ((x div 2) - 1) <= 0 then 1 else ((x + 1) div 2)) * (((2 + 2) * 2) + 1))
A242893: 9 9 9 9 18 27 27 36
((loop(\(x,i).((x - i) * x),2,(x - 1)) div 2) div (((2 + 2) * 2) + 1))
A011928: 0 0 0 0 1 6 20 46 93 168 280 440 660 953 1334 1820
(if x <= 0 then 1 else (((((x * x) + 1) * x) div 2) * (((2 + 2) * 2) + 1)))
A289721: 1 9 45 135 306 585 999 1575 2340 3321 4545 6039 7830 9945 12411 15255
((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) * (((2 + 2) * 2) + 1))
A131418: 0 9 18 27 36 45 54 63 72 81 108 117 126 135 144 153
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x div 2),(((2 + 2) * 2) + 1))
A050683: 9 9 90 90 900 900 9000 9000 90000 90000 900000 900000 9000000 9000000 90000000 90000000
loop(\(x,i).(x - ((1 - (x div 2)) div (2 + 1))),x,(((2 + 2) * 2) + 1))
A120185: 9 10 12 14 16 19 22 26 30 35 41 48 56 65 76 89
(loop(\(x,i).((x * 2) * (0 - 2)),(x - 1),x) mod (((2 + 2) * 2) + 1))
A156060: 0 1 1 3 5 2 3 7 4 0 8 8 6 4 7 6
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x) * (((2 + 2) * 2) + 1))
A044052: 9 18 27 36 45 54 63 72 81 99 108 117 126 135 144 153
(((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * (((2 + 2) * 2) + 1))
A052223: 9 18 27 36 45 54 63 72 81 90 108 117 126 135 144 153
loop(\(x,i).((x div (((2 + 2) * 2) + 1)) + x),x,(((2 + 2) * 2) + 1))
A182362-A023392: 9 10 11 12 13 14 15 16 17 18 20 22 24 26 28 31
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) + x),x,(((2 + 2) * 2) + 1))
A102042: 9 18 26 32 34 38 46 52 54 58 66 72 74 78 86 92
((((if (x - 1) <= 0 then 1 else 0) - (x * x)) * x) mod (((2 + 2) * 2) + 1))
A021929: 0 0 1 0 8 1 0 8 1 0 8 1 0 8 1 0
(((if ((x div (2 + 2)) mod 2) <= 0 then x else (0 - x)) mod ((2 + 2) * 2)) + 1)
A181975: 1 2 3 4 5 4 3 2 1 2 3 4 5 4 3 2
((x div 2) div ((x div ((if (x mod 2) <= 0 then 1 else x) mod ((2 + 2) * 2))) + 1))
A035446: 0 0 0 0 0 1 0 1 0 0 0 1 0 2 0 2
(2 - (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (x - ((2 + 2) * 2)) else 1))
A318667-A317941: 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 ~5
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,((2 + 2) * 2)) + 1)
A199759: 9 89 969 10649 117129 1288409 14172489 155897369 1714871049 18863581529 207499396809 2282493364889 25107427013769 276181697151449 3037998668665929 33417985355325209
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,((2 + 2) * 2)) - 1)
A199027: 7 87 967 10647 117127 1288407 14172487 155897367 1714871047 18863581527 207499396807 2282493364887 25107427013767 276181697151447 3037998668665927 33417985355325207
(x - (((if x <= 0 then 1 else x) * 2) div ((((2 - x) div (2 + 2)) - 2) - 1)))
A285601: 1 2 4 5 6 8 9 10 12 13 14 15 16 18 19 20
((1 - x) mod (((if (x mod (2 + 1)) <= 0 then 2 else (x div (2 + 2))) * 2) - 1))
A263142: 1 0 0 1 0 0 1 0 2 1 0 2 1 3 2 1
(1 - (if (x mod 2) <= 0 then (((x + 1) * 2) mod ((x div (2 + 2)) + 2)) else 1))
A016229-A015869-A015749-A015389-A015149-A015029-A014789-A014669-A011637: 1 0 1 0 0 0 ~1 0 ~1 0 ~1 0 0 0 1 0
loop(\(x,i).(x * x),(2 + 1),((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017636: 43046721 37822859361 1406408618241 16815125390625 111429157112001 513798374428641 1853020188851841 5595818096650401 14774554437890625 35114532758015841 76686282021340161 156225851787813921
loop(\(x,i).((x * x) * x),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017631: 729 9261 35937 91125 185193 328509 531441 804357 1157625 1601613 2146689 2803221 3581577 4492125 5545233 6751269
loop(\(x,i).((x * x) * x),2,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017637: 387420489 794280046581 46411484401953 756680642578125 6351461955384057 35452087835576229 150094635296999121 520411082988487293 1551328215978515625 4108400332687853397
loop(\(x,i).(x * x),1,(x - ((((((2 + 1) * x) + 2) * 2) * 2) + 1)))
A017498: 81 400 961 1764 2809 4096 5625 7396 9409 11664 14161 16900 19881 23104 26569 30276
loop(\(x,i).(x * x),2,(x - ((((((2 + 1) * x) + 2) * 2) * 2) + 1)))
A017500: 6561 160000 923521 3111696 7890481 16777216 31640625 54700816 88529281 136048896 200533921 285610000 395254161 533794816 705911761 916636176
((loop(\(x,i).((i + 1) * x),x,((((x + 1) * x) div 2) + 2)) div 2) + 1)
A308606: 2 4 16 97 721 6121 57961 604801 6894721 85276801 1137628801 16286054401 249080832001 4053790540801 69960578688001 1276290183168001
(((loop(\(x,i).((x + 2) * 2),x,(((x - 1) * x) div 2)) div 2) div 2) + 1)
A081908: 1 2 5 14 40 112 304 800 2048 5120 12544 30208 71680 167936 389120 892928
(((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) + 2) * 2) + 1)
A173262: 9 29 229 2229 22229 222229 2222229 22222229 222222229 2222222229 22222222229 222222222229 2222222222229 22222222222229 222222222222229 2222222222222229
(((loop(\(x,i).((x + 2) div (2 - (x mod 2))),2,(x + 2)) div 2) * 2) - 1)
A247617: 1 5 3 7 1 9 5 11 3 13 7 15 3 17 9 19
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then (((x + 2) + 2) + 2) else 1)
A089170: 1 1 1 1 1 1 1 1 1 1 1 17 1 1 1 1
((((if (x - (((2 + 2) + 1) * 2)) <= 0 then x else (x + 2)) * 2) * 2) + 1)
A334526: 1 5 9 13 17 21 25 29 33 37 41 53 57 61 65 69
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * 2) * 2) + 1))
A017081: 1 59049 1419857 9765625 39135393 115856201 282475249 601692057 1160290625 2073071593 3486784401 5584059449 8587340257 12762815625 18424351793 25937424601
loop(\(x,i).(((x + 1) * x) div 2),1,(x - ((((x * 2) * 2) * 2) - 1)))
A081591: 1 15 78 190 351 561 820 1128 1485 1891 2346 2850 3403 4005 4656 5356
((if x <= 0 then 1 else ((x - (((x mod (2 + 1)) * (x div 2)) mod 2)) * 2)) + 1)
A226047: 2 3 5 7 9 11 13 13 17 19 19 23 25 27 29 31
(if (x - 1) <= 0 then x else (((((x - 2) * x) mod ((x div 2) + 2)) mod 2) + 1))
A069010: 0 1 1 1 1 2 1 1 1 2 2 2 1 2 1 1
(((loop(\(x,i).((2 - x) + (2 + 2)),(x div 2),(x mod 2)) * 2) * 2) + 1)
A070376: 1 5 25 21 1 5 25 21 1 5 25 21 1 5 25 21
((loop(\(x,i).((i mod 2) + (x * 2)),x,1) div (((x mod 2) + 2) + 2)) + 1)
A305750: 1 1 2 3 7 11 27 43 107 171 427 683 1707 2731 6827 10923
((if (x - 2) <= 0 then 1 else (x div (2 + 1))) div ((((x mod 2) * 2) * 2) + 1))
A008613: 1 0 1 0 1 0 2 0 2 0 3 0 4 0 4 1
loop(\(x,i).((x * 2) * (2 + 1)),(x div 2),((((x mod 2) * 2) * 2) + 1))
A166023: 1 5 6 30 36 180 216 1080 1296 6480 7776 38880 46656 233280 279936 1399680
(if x <= 0 then 1 else (((((x div 2) mod 2) + x) + (((x mod 2) * 2) * 2)) - 1))
A126091: 1 4 2 7 3 8 6 11 7 12 10 15 11 16 14 19
(if ((((x + 1) div (2 + 1)) + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 1)
A243756-A172985: 1 1 1 1 1 1 1 1 1 1 1 4 4 4 1 1
((1 - (if (x mod ((x mod (2 + 2)) + 2)) <= 0 then x else 0)) mod ((2 + 2) + 1))
A284345: 1 1 1 1 2 1 1 1 3 2 1 1 4 1 1 1
loop(\(x,i).(x * x),1,((((x + 2) * (x + 1)) - 1) * ((2 + 2) + 1)))
A207597: 25 625 3025 9025 21025 42025 75625 126025 198025 297025 429025 600625 819025 1092025 1428025 1836025
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A222011: 1 2 4 8
A070350: 1 2 4 8 16 32 19 38 31 17 34 23 1 2 4 8
(if (x - 2) <= 0 then 1 else (((x div ((2 + 2) * 2)) + 1) * ((2 + 2) + 1)))
A094636: 1 1 1 5 5 5 5 5 10 10 10 10 10 10 10 10
(((2 - ((if x <= 0 then 1 else x) mod 2)) * ((2 + 2) + 1)) * ((2 + 2) + 1))
A040601: 25 25 50 25 50 25 50 25 50 25 50 25 50 25 50 25
(((((if x <= 0 then 1 else x) * (x + 2)) + 1) * (2 + 1)) div ((2 + 2) + 1))
A184535: 1 2 5 9 15 21 29 38 48 60 72 86 101 117 135 153
(loop(\(x,i).(x - (((i mod 2) - (x * 2)) - 1)),x,1) * ((2 + 2) + 1))
A340395: 5 15 50 150 455 1365 4100 12300 36905 110715 332150 996450 2989355 8968065 26904200 80712600
(loop(\(x,i).((((i mod (2 + 1)) + 2) * x) * 2),x,1) mod ((2 + 2) + 1))
A131015: 1 1 3 2 2 1 4 4 2 3 3 4 1 1 3 2
((loop(\(x,i).((x * x) + (i + 2)),2,2) * (x + 1)) div ((2 + 2) + 1))
A190326: 10 21 31 42 53 63 74 84 95 106 116 127 137 148 159 169
(((loop(\(x,i).((x + 2) * x),2,x) * (x + 1)) div 2) div ((2 + 2) + 1))
A164938: 0 3 24 102 312 777 1680 3276 5904 9999 16104 24882 37128 53781 75936 104856
((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) * 2) div ((2 + 2) + 1))
A011930: 0 0 0 0 1 6 18 42 84 151 252 396 594 858 1201 1638
(((((x * x) div (if (2 - x) <= 0 then 2 else 1)) + 2) * 2) div ((2 + 2) + 1))
A231056: 0 1 1 2 4 5 8 10 13 16 20 24 29 34 40 45
(if x <= 0 then 1 else ((x - (((x div 2) + 1) mod (2 + 2))) div ((2 + 2) + 1)))
A025151: 1 0 0 0 0 0 1 1 1 1 1 1 1 2 2 3
(if x <= 0 then 2 else (((((2 + 2) * (2 + 1)) + x) * 2) * ((2 + 2) + 1)))
A300292: 2 130 140
(if x <= 0 then 1 else ((((((x * x) * 2) + 1) * x) * 2) * ((2 + 2) + 1)))
A101098: 1 30 180 570 1320 2550 4380 6930 10320 14670 20100 26730 34680 44070 55020 67650
loop(\(x,i).(((x + 1) * x) div 2),1,(((1 - x) * 2) div ((2 + 2) + 1)))
A327142: 0 0 0 0 1 1 1 3 3 6 6 6 10 10 15 15
((if x <= 0 then 1 else ((x * 2) * 2)) - (((1 - x) * 2) div ((2 + 2) + 1)))
A312928: 1 4 9 13 18 22 26 31 35 40 44 48 53 57 62 66
loop(\(x,i).(x * x),1,((x + 2) - (((1 - x) * 2) div ((2 + 2) + 1))))
A087058: 4 9 25 36 64 81 100 144 169 225 256 289 361 400 484 529
(((loop(\(x,i).((x - i) * x),2,(x - 2)) * x) div 2) div ((2 + 2) + 1))
A300847: 0 0 0 0 0 12 72 252 672 1512 3024 5544 9504 15444 24024 36036
(if x <= 0 then 1 else (((x * 2) * (2 + 1)) - ((x + 2) div ((2 + 2) + 1))))
A315707: 1 6 12 17 23 29 35 41 46 52 58 64 70 75 81 87
(if x <= 0 then 1 else ((((2 + 2) + 1) * x) - ((x + 2) div ((2 + 2) + 1))))
A313568: 1 5 10 14 19 24 29 34 38 43 48 53 58 62 67 72
((((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) * (x div 2)) div ((2 + 2) + 1))
A237819: 0 0 0 0 0 1 2 2 3 3 4 4 4 4 5 5
loop(\(x,i).(0 - x),x,(2 - ((((x * x) * x) + 2) mod ((2 + 2) + 1))))
A253262: 0 1 2 2 1 0 ~1 ~2 ~2 ~1 0 1 2 2 1 0
((if ((x div ((2 + 2) + 1)) mod 2) <= 0 then x else (0 - x)) mod ((2 + 2) + 1))
A203571: 0 1 2 3 4 0 4 3 2 1 0 1 2 3 4 0
(x - ((0 - (if (((x div 2) - 2) - 2) <= 0 then 1 else x)) div ((2 + 2) + 1)))
A164707-A161604-A129523-A125121-A108549-A045779: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18
loop(\(x,i).(x - ((1 - (x * 2)) * ((2 + 2) + 1))),x,((2 + 2) + 1))
A199762: 5 50 545 5990 65885 724730 7972025 87692270 964614965 10610764610 116718410705 1283902517750 14122927695245 155352204647690 1708874251124585 18797616762370430
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((2 + 1) * x),((2 + 2) + 1))
A324265: 5 1715 588245 201768035 69206436005 23737807549715 8142067989552245 2792729320416420035 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((2 + 2) + 1))
A212344: 5 5 10 25 70 210 660 2145 7150 24310 83980 293930 1040060 3714500 13372200 48474225
loop(\(x,i).((((x mod 2) * x) * 2) - (x div (0 - 2))),x,((2 + 2) + 1))
A185454: 5 13 33 83 208 104 52 26 13 33 83 208 104 52 26 13
(((((if (x - (2 + 2)) <= 0 then 1 else x) + 2) * 2) + x) div ((2 + 2) + 1))
A063882: 1 1 1 1 2 3 4 5 5 6 6 7 8 8 9 9
(loop(\(x,i).i,(((x - 1) * 2) mod ((x div 2) + 2)),x) div ((2 + 2) + 1))
A035468: 0 0 0 0 0 1 1 0 0 0 0 1 1 2 1 0
((x + 2) - (if (x div (2 + 2)) <= 0 then 1 else ((2 - x) div ((2 + 2) + 1))))
A231003: 1 2 3 4 7 8 9 10 12 13 14 15 16 18 19 20
(if x <= 0 then 1 else ((((2 + 2) + 1) * x) - ((2 - x) div ((2 + 2) + 1))))
A313873: 1 5 10 16 21 26 31 36 42 47 52 57 62 68 73 78
(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + ((2 + 2) + 1))
A298252: 6 8 10 14 16 20 22 26 32 34 40 44 46 50 56 62
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((2 + 2) + 1))
A113935: 5 6 8 10 14 16 20 22 26 32 34 40 44 46 50 56
loop(\(x,i).(x * x),1,((x + 2) - (((x mod 2) - x) div ((2 + 2) + 1))))
A030140: 4 9 25 36 49 64 100 121 144 169 196 225 289 324 361 400
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 0 else 2) + (x div ((2 + 2) + 1)))
A035645: 0 0 0 0 0 1 1 1 1 1 2 4 4 4 4 5
((loop(\(x,i).((x + 1) * 2),x,2) div (x + 2)) + (x div ((2 + 2) + 1)))
A244742: 1 2 3 6 10 19 32 57
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) div (((0 - x) mod (2 + 2)) + 1))
A025875: 1 0 0 0 1 0 0 0 1 0 0 1 2 0 0 1
(((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then x else (0 - x)) mod (2 + 2)) + 1)
A343180: 1 2 3 2 1 4 3 2 1 2 3 4 1 4 3 2
((if x <= 0 then 2 else ((((x div 2) div ((2 + 2) + 1)) + x) * (2 + 2))) - 1)
A334228: 1 3 7 11 15 19 23 27 31 35 43 47 51 55 59 63
(((x - (2 mod (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x))) mod (2 + 2)) + 1)
A003324: 1 2 3 4 1 4 3 2 1 2 3 2 1 4 3 4
((((x div (2 + 1)) - 1) mod ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2))) + 1)
A331024-A326514-A316979-A115561-A077565: 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 2
loop(\(x,i).(x * x),1,((((((2 + 1) * x) + 2) * x) * (2 + 2)) + 1))
A014793: 1 441 4225 17689 50625 116281 231361 416025 693889 1092025 1640961 2374681 3330625 4549689 6076225 7958041
(((if x <= 0 then 1 else ((x * 2) * 2)) - (((x div 2) + x) div (2 + 2))) + 1)
A284624: 2 5 9 12 16 20 23 27 30 34 38 41 45 49 52 56
(if ((x - 1) mod (2 + 2)) <= 0 then 1 else ((((x div 2) + x) div (2 + 2)) + 1))
A321341: 1 1 1 2 2 1 3 3 4 1 4 5 5 1 6 6
(if (2 - ((x mod (((2 + 1) * 2) + 1)) div 2)) <= 0 then (x div (2 + 2)) else 1)
A209007-A005135: 1 1 1 1 1 1 1 1 1 1 1 2 3 3 1 1
((if (x mod ((2 + 2) + 1)) <= 0 then (x - 1) else 1) mod ((x div (2 + 2)) + 1))
A117929: 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 2
(if x <= 0 then 1 else (((x div 2) mod ((2 + 2) + 1)) mod ((x div (2 + 2)) + 1)))
A029413: 1 0 0 0 0 0 1 1 1 1 0 0 1 1 2 2
((if (x mod 2) <= 0 then (x div 2) else ((2 + 1) * 2)) mod ((x div (2 + 2)) + 1))
A070101: 0 0 0 0 0 0 1 0 1 0 2 0 2 2 3 2
(if (x mod (2 + 1)) <= 0 then 1 else (((x - 2) * 2) mod ((x div (2 + 2)) + 1)))
A239928: 1 0 0 1 0 0 1 0 0 1 1 0 1 2 0 1
((if x <= 0 then 1 else (((x * 2) * 2) * 2)) * (((x * x) * (2 + 2)) + 1))
A117216: 1 40 272 888 2080 4040 6960 11032 16448 23400 32080 42680 55392 70408 87920 108120
(((((if (x mod (((x div 2) + 2) + 1)) <= 0 then 2 else 1) + x) div 2) + 2) + 1)
A073260: 4 4 4 5 5 6 7 7 7 8 8 9 9
((loop(\(x,i).((((((x + 2) * 2) * 2) + x) * 2) + 1),x,2) * 2) - 1)
A173807: 3 73 773 7773 77773 777773 7777773 77777773 777777773 7777777773 77777777773 777777777773 7777777777773 77777777777773 777777777777773 7777777777777773
((loop(\(x,i).(((i + 2) * (i + 1)) + ((x * 2) + 1)),x,2) div 2) + 1)
A054136: 2 6 18 46 107 235 498 1032 2109 4273 8612 17302 34695 69495 139110 278356
((((x * x) * x) * (x * x)) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070626: 0 1 32 28 35 29 36 37 2 10 25 16 34 31 23 38
((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 2),x,2) * 2) - 1)
A173811: 3 83 883 8883 88883 888883 8888883 88888883 888888883 8888888883 88888888883 888888888883 8888888888883 88888888888883 888888888888883 8888888888888883
(if x <= 0 then 1 else ((x - (((((x div (2 + 2)) mod 2) - x) div 2) * 2)) - 1))
A304028: 1 2 3 6 7 8 11 12 15 18 19 22 23 24 27 28
(((if x <= 0 then 1 else ((((x mod ((x div 2) + 2)) div 2) + x) div 2)) mod 2) + 1)
A087888: 2 1 2 2 1 1 2 1 1 2 2 1 2 2 1 2
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) + 1)
A072055: 5 7 11 15 23 27 35 39 47 59 63 75 83 87 95 107
loop(\(x,i).(x * 2),(((x + 1) div 2) - ((((x div 2) * x) mod 2) * 2)),1)
A137399: 1 2 2 1 4 8 8 4 16 32 32 16 64 128 128 64
(((((if (x mod 2) <= 0 then ((x + 2) * x) else 0) + x) * (x + 2)) div 2) + 1)
A298822: 1 2 21 8 85 18 217 32 441 50 781 72 1261 98 1905 128
(((((2 + 2) + 1) * 2) * 2) div (((if x <= 0 then 1 else (x * 2)) * 2) - 1))
A161997: 20 6 2 1 1
(loop(\(x,i).(((i + x) * x) div 2),2,(x + 1)) div (((x * 2) * 2) + 1))
A062433: 1 1 2 4 7 11 16 23 32 42 54 69 86 105 128 153
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) * 2) + 1))
A016818: 1 15625 531441 4826809 24137569 85766121 244140625 594823321 1291467969 2565726409 4750104241 8303765625 13841287201 22164361129 34296447249 51520374361
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + x) + (((x * 2) * 2) + 1))
A176916: 2 11 36 141 646 3151 15656 78161 390666 1953171 9765676 48828181 244140686 1220703191 6103515696 30517578201
(loop(\(x,i).(x * 2),(x - ((2 + 2) + 1)),x) div (((x * 2) * 2) - 1))
A101333: 0 0 0 0 0 0 0 1 2 4 8 16 32 65 130 260
((((if (x mod (2 + 2)) <= 0 then 0 else (x div (2 + 2))) + (x div 2)) div 2) + 1)
A005707: 1 1 1 1 2 2 3 3 3 4 4 4 4 5 6 6
(((x div (2 + 1)) + 1) div ((if ((x div 2) mod 2) <= 0 then (x div 2) else 2) + 1))
A239509: 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 2
((loop(\(x,i).((((x * 2) + 1) * i) + x),x,0) - ((x div 2) mod 2)) + 1)
A220092: 1 2 7 52 473 5198 67567 1013512 17229713 327364538 6874655287 158117071612 3952926790313 106729023338438 3095141676814687 95949391981255312
(((loop(\(x,i).(((i + 1) div 2) * x),(x div 2),1) - (x mod 2)) div 2) + 1)
A319622: 1 1 1 1 1 1 2 1 3 2 7
((((((if (x - 1) <= 0 then x else 2) + 2) * (x + 1)) + (x mod 2)) * 2) - 1)
A273312: 3 13 23 33 39 49 55 65 71 81 87 97 103 113 119 129
((loop(\(x,i).((((x mod 2) + 2) * x) + 2),(x div 2),(x mod 2)) div 2) + 1)
A098293: 1 1 2 3 4 9 8 27 16 81 32 243 64 729 128 2187
(if ((2 - x) mod (2 + 1)) <= 0 then (((x div 2) + 1) div ((x mod 2) + 2)) else 1)
A343388: 1 1 1 1 1 1 1 1 2 1 1 2 1 1 4 1
(loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 1)) div (((x mod 2) + 2) + 1))
A083225: 1 6 64 384 4096 24576 262144 1572864 16777216 100663296 1073741824 6442450944 68719476736 412316860416 4398046511104 26388279066624
loop(\(x,i).((x + 2) * x),1,((x + 1) div ((x div ((x mod 2) + 2)) + 1)))
A125025: 3 8 3 8 3 15 3 8 3 8 3
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + ((x mod 2) * 2)) - 1)
A098611: 0 11 99 1001 9999 100001 999999 10000001 99999999 1000000001 9999999999 100000000001 999999999999 10000000000001 99999999999999 1000000000000001
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - ((x mod 2) * 2)) + 1)
A098610: 2 9 101 999 10001 99999 1000001 9999999 100000001 999999999 10000000001 99999999999 1000000000001 9999999999999 100000000000001 999999999999999
((loop(\(x,i).(x * 2),(x div 2),(2 - (x mod 2))) + ((x mod 2) * 2)) - 1)
A140407: 1 2 3 3 7 5 15 9 31 17 63 33 127 65 255 129
((loop(\(x,i).((x * 2) * 2),(x div 2),2) - 1) div (((x mod 2) * 2) + 1))
A282799: 1 0 7 2 31 10 127 42 511 170 2047 682 8191 2730 32767 10922
(((if (x - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) div (((x mod 2) * 2) + 1))
A029240: 1 0 1 0 1 0 1 0 2 0 2 1 3 1 3 1
loop(\(x,i).(((2 + 2) + 1) * x),((x div 2) * 2),(((x mod 2) * 2) + 1))
A083298: 1 3 25 75 625 1875 15625 46875 390625 1171875 9765625 29296875
A083222: 1 3 25 75 625 1875 15625 46875 390625 1171875 9765625 29296875 244140625 732421875 6103515625 18310546875
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x div 2),(((x mod 2) * 2) + 1))
A188545: 1 3 10
A004663: 1 3 10 30 100 300 1000 3000 10000 30000 100000 300000 1000000 3000000 10000000 30000000
loop(\(x,i).(((i mod 2) + x) * ((i * 2) + 1)),x,(((x mod 2) * 2) + 1))
A007308: 1 12 30 427
((((loop(\(x,i).((x - 2) * (2 + 1)),(x - 1),x) + x) div 2) div 2) + 1)
A121365: 1 1 1 2 9 43 185 732 2737 9845 34449 118102 398585 1328607 4384393 14348912
(((loop(\(x,i).(((((i * 2) * 2) + 1) * i) + x),x,x) * 2) * 2) + 1)
A114254: 1 25 101 261 537 961 1565 2381 3441 4777 6421 8405 10761 13521 16717 20381
((x - (if (((x div (2 + 1)) - 1) mod (2 + 2)) <= 0 then 1 else 0)) mod (2 + 1))
A204423: 0 1 2 2 0 1 0 1 2 0 1 2 0 1 2 2
((if (((((x div 2) * x) div 2) + 1) mod (2 + 2)) <= 0 then 2 else 0) * (2 + 1))
A280508: 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0
(loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,0) * (2 + 1))
A086578: 0 63 693 6993 69993 699993 6999993 69999993 699999993 6999999993 69999999993 699999999993 6999999999993 69999999999993 699999999999993 6999999999999993
((2 - loop(\(x,i).(x - (((i mod 2) - (x * 2)) * 2)),x,0)) div (2 + 1))
A178577: 0 1 4 18 87 434 2170 10851 54254 271268 1356337 6781684 33908420 169542101 847710504 4238552518
((2 + 1) - (loop(\(x,i).(((x div (2 + 2)) + x) - 2),x,0) div (2 + 1)))
A299114: 3 4 5 6 8 10
A120162: 3 4 5 6 8 10 12 15 19 24 30 37 46 58 72 90
((loop(\(x,i).(((((x * 2) * 2) + i) * 2) - x),x,0) + 1) div (2 + 1))
A156002: 0 1 6 44 311 2178 15250 106755 747288 5231022 36617161 256320132 1794240932 12559686533 87917805738 615424640176
((if x <= 0 then 0 else ((((x - 1) div (2 + 1)) mod (2 + 1)) + 1)) * (2 + 1))
A281258: 0 3 3 3 6 6 6 9 9 9 3 3 3 6 6 6
(2 - (((x + 2) mod (((if x <= 0 then 0 else 2) * (2 + 1)) + 1)) mod (2 + 1)))
A284387: 2 2 1 0 2 2 1 0 2 1 0 2 2 1 0 2
(((loop(\(x,i).((i * x) * 2),x,(2 + 2)) div (2 + 1)) + 1) div (2 + 1))
A220103: 0 1 3 21 171
(x - ((0 - (if (2 - x) <= 0 then ((x * x) div (2 + 1)) else 1)) div (2 + 1)))
A096061: 1 2 3 4 6 8 10 13 15 18 21 25 28 32 36 40
((loop(\(x,i).(((i div (2 + 1)) + 2) * (x - 1)),x,1) + 1) mod (2 + 1))
A287368: 2 1 2 1 1 1 0 2 1 2 1 2 1 1 1 0
((loop(\(x,i).((x * x) * (2 + 1)),(x - 1),(x + 1)) + 1) div (2 + 1))
A323517: 0 1 9 2304
((if (((x div 2) + 2) mod ((2 + 2) * 2)) <= 0 then (x - 1) else 1) mod (2 + 1))
A194341: 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1
(((loop(\(x,i).((x div 2) + 2),((x div 2) - 1),1) * 2) + 1) * (2 + 1))
A251558: 9 9 9 9 15 15 21 21 21 21 21 21 21 21 21 21
((((x mod (((if (x mod 2) <= 0 then x else 2) * 2) + 1)) div 2) + 1) div (2 + 1))
A318282: 0 0 0 0 1 0 1 0 1 1 2 0 2 0 2 0
(((loop(\(x,i).(i * x),x,(((x * 2) * 2) + 1)) div 2) + 1) div (2 + 1))
A186371: 0 1 3 13 68 420 3000 24360 221760 2237760 24796800 299376000 3911846400 55005350400 828193766400 13294689408000
(loop(\(x,i).(x * 2),(x div (2 + 1)),(((2 + 1) * 2) + 1)) * (2 + 1))
A158772: 21 21 21 42 42 42 84 84 84 168 168 168 336 336 336 672
(((loop(\(x,i).(((x + 2) + 2) * 2),x,(2 + 1)) * 2) + 1) * (2 + 1))
A304514: 21 87 219 483 1011 2067 4179 8403 16851 33747 67539 135123 270291 540627 1081299 2162643
(loop(\(x,i).(x * 2),(x div 2),((((x mod 2) + 1) * 2) + 1)) * (2 + 1))
A070876: 9 15 18 30 36 60 72 120 144 240 288 480 576 960 1152 1920
((((loop(\(x,i).(x * 2),(x div 2),1) div (x + 1)) * 2) + 1) div (2 + 1))
A245146: 1 0 0 0 0 0 1 1 1 1 1 1 3 3 5 5
((loop(\(x,i).(((x * x) * x) * (2 + 1)),(x - 1),2) + 1) div (2 + 1))
A246959: 1 1 8 13824 71328803586048 4611686018427387903
((x - (if (((x div (2 + 1)) - 1) mod (2 + 2)) <= 0 then 2 else 1)) mod (2 + 1))
A204427: 2 0 1 1 2 0 2 0 1 2 0 1 2 0 1 1
((if x <= 0 then 1 else ((x mod (((x + 1) mod (2 + 2)) + 2)) - 1)) mod (2 + 1))
A091397: 1 0 1 0 0 0 0 0 1 0 2 0 2 0 0 0
(((if (2 - (x div (2 + 2))) <= 0 then x else ((2 + 2) * 2)) + 1) * (2 + 1))
A291516: 27 27 27 27 27 27 27 27 27 30 33 36 39 42 45 48
loop(\(x,i).((2 + 1) * x),(((x * 2) + 1) * ((2 + 2) + 1)),(2 + 1))
A013852: 729 43046721 2541865828329 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1))
A260401-A003159: 1 3 4 5 7 9 11 12 13 15 16 17 19 20 21 23
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1))
A325130: 1 3 4 5 7 8 11 12 13 15 16 17 19 20 21 23
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) * 2) + 1) * (2 + 1))))
A017432: 6561 1475789056 152587890625 2821109907456 23811286661761 128063081718016 513798374428641 1677721600000000 4702525276151521 11716593810022656 26584441929064321 55895067029733376
((loop(\(x,i).(x * 2),((x + 1) div 2),((x mod 2) + 2)) + 1) div (2 + 1))
A112387: 1 2 1 4 3 8 5 16 11 32 21 64 43 128 85 256
((((if (x - 2) <= 0 then 0 else (x * x)) * (x - 1)) div (2 + 1)) mod (2 + 1))
A298177-A298146-A297814: 0 0 0 0 1 0 0 2 2 0 0 1 0 1 0 0
((if x <= 0 then 1 else (((((x * 2) + 1) * x) * 2) * (2 + 1))) * (2 + 1))
A068380: 3 54 180 378 648 990 1404 1890 2448 3078 3780 4554 5400 6318 7308 8370
(loop(\(x,i).(x - (x div (((0 - 2) - 2) - 1))),x,(2 + 1)) div (2 + 1))
A134345-A112193: 1 1 1 2 2 3 4 5 6 7 9 11 13 16 19 23
((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - 1) mod (2 + 1))
A228817: 1 2 1 0 2
A137992: 1 2 1 0 2 2 2 2 1 0 2 0 1 2 2 2
((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) + 1) * (2 + 1))
A173764: 9 39 339 3339 33339 333339 3333339 33333339 333333339 3333333339 33333333339 333333333339 3333333333339 33333333333339 333333333333339 3333333333333339
((((loop(\(x,i).((x * x) - 1),2,(x + 2)) + x) div 2) + 1) div (2 + 1))
A024202: 1 11 38 96 205 385 662 1068 1635 2401 3410 4706 6339 8365 10840 13826
((loop(\(x,i).(x * 2),(x + 2),(x + 2)) * ((x + 2) + 1)) * (2 + 1))
A308136: 72 288 960 2880 8064 21504 55296 138240 337920 811008 1916928 4472832 10321920 23592960 53477376 120324096
(((x * x) * x) - loop(\(x,i).(x * x),1,(((x + 2) + 1) * (2 + 1))))
A153259: ~81 ~143 ~217 ~297 ~377 ~451 ~513 ~557 ~577 ~567 ~521 ~433 ~297 ~107 143 459
(((((if x <= 0 then 1 else (x div (2 + 2))) + x) * (x + 2)) + 1) mod (2 + 1))
A152723: 0 1 0 1 1 1 0 1 2 2 1 2 1 1 0 1
((loop(\(x,i).((x + 1) * x),2,(2 + 2)) * ((x * 2) + 1)) + (2 + 1))
A096024: 423 1263 2103 2943 3783 4623 5463 6303 7143 7983 8823 9663 10503 11343 12183 13023
(((loop(\(x,i).((x + 1) * x),2,x) div 2) * ((x * 2) + 1)) * (2 + 1))
A048396: 0 27 315 1638 5670 15345 35217 71820 134028 233415 384615 605682 918450 1348893 1927485 2689560
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) + 1) * (2 + 1)))
A016949: 243 59049 759375 4084101 14348907 39135393 90224199 184528125 345025251 601692057 992436543 1564031349 2373046875 3486784401 4984209207 6956883693
(((if (x mod 2) <= 0 then (2 + 1) else (0 - 2)) mod ((x div 2) + 1)) + (2 + 1))
A003034: 3 3 4 3 3 4 6 5 6 6 6 7
((((loop(\(x,i).((i * x) + 1),x,0) - (x * x)) div 2) + 1) div (2 + 1))
A268218: 0 0 0 0 4 30 200 1435 11536 103908 1039200 11431365 137176600 1783296086 24966145568 374492183975
(if x <= 0 then 1 else ((x + 2) - ((((x div (2 + 1)) - x) - 1) div (2 + 1))))
A061578: 1 4 5 6 8 9 10 11 13 14 15 16 17 19 20 21
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) mod (2 + 1))
A039968: 1 0 1 2 0 0 0 0 1 2 0 2 1 0 0 0
(2 - (loop(\(x,i).(((x div ((2 + 2) + 1)) + x) - 1),x,1) div (2 + 1)))
A120171: 2 2 3 3 4 5 6 7 8 10 12 14 17 20 24 29
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1) * (2 + 1))
A112773: 3 6 9 15 21 33 39 51 57 69 87 93 111 123 129 141
(loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1) mod (2 + 1))
A039965: 1 2 2 1 2 0 0 0 2 1 2 2 1 2 0 0
(x - ((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) - x) - 1) div (2 + 1)))
A276341: 1 2 3 5 6 7 9 10 11 13 14 15 16 17 19 20
(((((((2 + 2) * 2) + (if x <= 0 then 0 else 1)) * 2) + x) - 1) * (2 + 1))
A295802: 45 54 57 60
(1 - ((x mod 2) - (loop(\(x,i).(((x * 2) * 2) * 2),x,1) div (2 + 1))))
A007613: 1 2 22 170 1366 10922 87382 699050 5592406 44739242 357913942 2863311530 22906492246 183251937962 1466015503702 11728124029610
(((((x div 2) + 1) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A131708: 0 1 2 3 5 10 21 43 86 171 341 682 1365 2731 5462 10923
(((((x div 2) - 1) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A024493: 1 1 1 2 5 11 22 43 85 170 341 683 1366 2731 5461 10922
(((((x * x) div 2) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A242563: 0 0 2 3 6 10 21 42 86 171 342 682 1365 2730 5462 10923
loop(\(x,i).(x * x),(2 + 1),(2 - (((2 + 2) * (x + 1)) * (2 + 1))))
A017648: 100000000 54875873536 1785793904896 20047612231936 128063081718016 576480100000000 2044140858654976 6095689385410816 15938480745308416 37588592026706176 81573072100000000 165312903998914816
((((((if (2 - x) <= 0 then x else 2) + x) + 2) * 2) * (x + 1)) div (2 + 1))
A184637: 2 6 12 21 33 48 65 85 108 133 161 192 225 261 300 341
((if (x - 2) <= 0 then x else ((((x + 2) * x) + 2) * (x + 1))) * (2 + 1))
A163423: 0 3 6 204
((loop(\(x,i).(((x + 1) * x) div 2),2,(x * 2)) div (x + 1)) div (2 + 1))
A138357: 0 1 6 19 44 85 146 231 345 490 671 892 1157 1470 1836 2257
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * (x + 1)) * (2 + 1))
A212701: 6 84 882 8232 72030 605052 4941258 39530064 311299254 2421216420 18643366434 142367525496 1079620401678 8138676874188 61040076556410 455765904954528
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) mod ((x + 1) * (2 + 1)))
A083529: 2 1 8 1 5 1 5 1 26 25 5 1 5 25 35 1
(((if (x - 2) <= 0 then 1 else x) + ((x * 2) * 2)) + ((x + 1) div (2 + 1)))
A313890: 1 5 10 16 21 27 32 37 43 48 53 59 64 69 75 80
(1 - ((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)))
A176259: 1 1 1 1 0 1 1 0 0 1 1 ~1 ~1 ~1 1 1
((if (((x div (2 + 1)) - 1) mod (2 + 2)) <= 0 then x else (x + 1)) mod (2 + 1))
A204425: 1 2 0 0 1 2 1 2 0 1 2 0 1 2 0 0
((loop(\(x,i).((x + 2) * 2),(((2 + 2) * 2) + x),0) * 2) - (2 + 1))
A098808: 2037 4085 8181 16373 32757 65525 131061 262133 524277 1048565 2097141 4194293 8388597 16777205 33554421 67108853
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) * (2 + 1))
A086941: 24 294 2994 29994 299994 2999994 29999994 299999994 2999999994 29999999994 299999999994 2999999999994 29999999999994 299999999999994 2999999999999994 29999999999999994
((loop(\(x,i).((((2 + 2) * 2) + x) * 2),(x + 1),1) * 2) * (2 + 1))
A304377: 108 312 720 1536 3168 6432 12960 26016 52128 104352 208800 417696 835488 1671072 3342240 6684576
((if x <= 0 then 1 else x) - (((x div (((2 + 1) * 2) + 1)) * 2) * (2 + 1)))
A033927: 1 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3
(((((if (x - (2 + 2)) <= 0 then x else (x + 1)) * 2) + 1) * 2) div (2 + 1))
A121539: 0 2 3 4 6 8 10 11 12 14 15 16 18 19 20 22
(x div ((if (((x - 2) * 2) mod ((x div 2) + 2)) <= 0 then 1 else 2) * (2 + 1)))
A261627: 0 0 0 0 1 0 1 2 2 1 1 1 2 2 2 2
(x div ((if (((x * 2) * 2) mod ((x div 2) + 2)) <= 0 then 1 else 2) * (2 + 1)))
A290342: 0 0 0 1 1 1 1 1 1 3 1 1 4 2 2 2
((x + 2) - ((if x <= 0 then 1 else x) div (x - (((2 + 1) * 2) * (2 + 1)))))
A154660: 3 4 5 6 7 8
A216442: 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 22
((loop(\(x,i).(x * 2),x,1) - ((x * x) mod ((2 + 1) * 2))) div (2 + 1))
A111927: 0 0 0 1 4 10 21 42 84 169 340 682 1365 2730 5460 10921
((((if (x mod (2 + 2)) <= 0 then 2 else 0) + (x div (2 + 1))) + 2) div (2 + 1))
A339382: 1 0 0 1 1 1 1 1 2 1 1 1 2 2 2 2
(((((x + 2) * (x + 2)) + (if (2 - x) <= 0 then 2 else 1)) * 2) div (2 + 1))
A181026: 3 6 12 18 25 34 44
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017468: 1679616 6975757441 377801998336 5352009260481 39062500000000 191707312997281 722204136308736 2252292232139041 6095689385410816 14774554437890625 32784148919812096 67675234241018881
(((if x <= 0 then 2 else (((x * 2) * 2) mod ((x div 2) + 1))) div 2) mod (2 + 1))
A029406: 1 0 0 0 0 1 0 0 1 0 2 1 0 1 0 2
((loop(\(x,i).((i * x) * 2),(x - 2),((x mod 2) + 1)) div 2) div (2 + 1))
A215969: 0 0 0 0 1 16 64
(((loop(\(x,i).((x div 2) + x),((x div 2) * 2),x) + 1) * 2) * (2 + 1))
A126857: 6 12 30 42 120
loop(\(x,i).((x * x) * x),1,(x - (1 - (((x + 1) * 2) * (2 + 1)))))
A017043: 125 1728 6859 17576 35937 64000 103823 157464 226981 314432 421875 551368 704969 884736 1092727 1331000
loop(\(x,i).((x * x) * x),2,(x - (1 - (((x + 1) * 2) * (2 + 1)))))
A017049: 1953125 5159780352 322687697779 5429503678976 46411484401953 262144000000000 1119130473102767 3904305912313344 11694146092834141 31087100296429568 75084686279296875 167619550409708032
(((((loop(\(x,i).((x + 2) * 2),x,1) * 2) - 1) * 2) * 2) * (2 + 1))
A305261: 12 132 372 852 1812 3732 7572 15252 30612 61332 122772 245652 491412 982932 1965972 3932052
(if x <= 0 then 1 else ((x mod ((((x - 1) mod (2 + 1)) + 2) + 2)) div (2 + 1)))
A322134: 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1
(((x mod ((if (x mod 2) <= 0 then 1 else (x div (2 + 1))) + 2)) * 2) div (2 + 1))
A079548: 0 0 1 0 0 1 0 2 1 2 0 0 0 0 1 0
((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + 1) * 2) * 2) div (2 + 1))
A026435: 2 4 5 6 8 10 12 13 14 16 17 18 20 21 22 24
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div 2) div 2) div (2 + 1))
A011850: 0 0 0 0 0 1 3 8 17 31 52 82 123 178 250 341
((1 - ((x mod ((if x <= 0 then 1 else x) div ((0 - 2) - 2))) div 2)) mod (2 + 1))
A000377: 1 1 1 1 1 2 1 2 1 1 2 2 1 0 2 2
loop(\(x,i).(0 - x),x,(1 - (((((x + 1) div 2) div 2) * 2) div (2 + 1))))
A014163: 1 ~1 1 ~1 1 ~1 1 0 0 0 0 1 ~1 1 ~1 1
(((x - (if ((x div 2) - 2) <= 0 then 1 else 2)) mod ((2 + 2) * 2)) mod (2 + 1))
A116948: 1 0 1 2 0 1 1 2 0 1 0 1 2 0 1 2
((((if x <= 0 then 1 else 2) - (((1 - x) * x) div (2 + 2))) * 2) * (2 + 1))
A037230: 6 12 18 24 30 42 60
((((if x <= 0 then 1 else ((((x * x) + 2) * x) * 2)) * 2) * 2) div (2 + 1))
A008412: 1 8 32 88 192 360 608 952 1408 1992 2720 3608 4672 5928 7392 9080
(loop(\(x,i).((x * 2) + 1),x,(((2 - (x mod 2)) * 2) * 2)) div (2 + 1))
A129670: 2 3 11 13 47 53 191
((((if x <= 0 then 1 else (((1 - (x * x)) * x) * 2)) * 2) * 2) div (2 + 1))
A136264: 1 0 ~16 ~64 ~160 ~320 ~560 ~896 ~1344 ~1920 ~2640 ~3520 ~4576 ~5824 ~7280 ~8960
((x - (if ((x div (2 + 1)) - 2) <= 0 then 1 else 0)) + ((2 + 2) * (2 + 1)))
A236403-A038687: 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27
(loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) + ((2 + 2) * (2 + 1)))
A209725: 12 13 14 16 18 22 26 34 42 58 74 106 138 202 266 394
loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,((2 + 2) * (2 + 1)))
A199492: 12 78 540 3774 26412 184878 1294140 9058974 63412812 443889678 3107227740 21750594174 152254159212 1065779114478 7460453801340 52223176609374
((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1))
A079709: 1 2 4 5 6 8 9 10 12 13 14 16 18 20 21 22
((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1))
A143028: 1 2 4 5 6 8 9 10 12 13 16 17 18 20 21 22
((if x <= 0 then 1 else (x + 2)) - ((1 - ((x * x) div (2 + 2))) div (2 + 1)))
A225647: 1 3 4 6 7
A244239: 1 3 4 6 7 9 11 13 15 18 20 23 26 29 32 36
(((loop(\(x,i).((x * 2) - 1),(x mod (2 + 1)),x) + 2) * 2) div (2 + 1))
A225055: 1 2 4 3 6 12 5 10 20 7 14 28 9 18 36 11
(if x <= 0 then 1 else (((((x * x) - (x div 2)) mod (x + 2)) div 2) div (2 + 1)))
A244464: 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(((x + 2) * 2) * (2 + 1)))
A159736: 12 126 1176 10290 86436 705894 5647152 44471322 345888060 2663338062 20338217928 154231485954 1162668124884 8720010936630 65109414993504 484251274014186
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) * 2) * (2 + 1)))
A017525: 0 248832 7962624 60466176 254803968 777600000 1934917632 4182119424 8153726976 14693280768 24883200000 40074642432 61917364224 92389579776 133827821568 188956800000
loop(\(x,i).((x * x) * x),1,(1 - (x - (((x * 2) * 2) * (2 + 1)))))
A017403: 1 1728 12167 39304 91125 175616 300763 474552 704969 1000000 1367631 1815848 2352637 2985984 3723875 4574296
loop(\(x,i).((x * x) * x),2,(1 - (x - (((x * 2) * 2) * (2 + 1)))))
A017409: 1 5159780352 1801152661463 60716992766464 756680642578125 5416169448144896 27206534396294947 106868920913284608 350356403707485209 1000000000000000000 2558036924386500591
loop(\(x,i).(x * x),(2 + 1),(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017420: 256 815730721 110075314176 2251875390625 20047612231936 111429157112001 457163239653376 1517108809906561 4304672100000000 10828567056280801 24759631762948096 52389094428262881
loop(\(x,i).((x * x) * x),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017415: 8 2197 13824 42875 97336 185193 314432 493039 729000 1030301 1404928 1860867 2406104 3048625 3796416 4657463
loop(\(x,i).((x * x) * x),2,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017421: 512 10604499373 2641807540224 78815638671875 922190162669056 6351461955384057 31087100296429568 119851595982618319 387420489000000000 1093685272684360901 2773078757450186752
((loop(\(x,i).(x * 2),x,(((2 + 2) * 2) - (x mod 2))) div 2) * (2 + 1))
A137480: 12 21 48 84 192 336 768 1344 3072 5376 12288 21504 49152 86016 196608 344064
(loop(\(x,i).((2 + 1) * x),(x div 2),((2 - (x mod 2)) + 2)) div (2 + 1))
A074324: 1 1 4 3 12 9 36 27 108 81 324 243 972 729 2916 2187
(((x * 2) * 2) - (1 - ((loop(\(x,i).(x * x),x,2) * 2) div (2 + 1))))
A309178: 0 5 17 181
(((if ((x div (2 + 1)) - (x mod (2 + 2))) <= 0 then 0 else x) div 2) div (2 + 1))
A237168: 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 2
(if x <= 0 then 2 else ((((x div (((2 + 2) * 2) + 1)) + x) * 2) * (2 + 1)))
A069087: 2 6 12 18 24 30 36 42 48 60 66 72 78 84 90 96
((loop(\(x,i).(i + x),(((x - 1) div 2) div (2 + 1)),x) * 2) + (2 + 1))
A333854: 3 5 7 9 11 13 15 19 21 23 25 27 29 35 37 39
(loop(\(x,i).(((x div ((x mod (2 + 1)) + 1)) + x) + 1),x,2) div (2 + 1))
A048329: 0 1 2 3 5 10 15 21 42 63 85 170 255 341 682 1023
((loop(\(x,i).(((x * x) - 1) * x),1,((x - 1) * x)) div 2) div (2 + 1))
A055658: 0 0 1 35 286 1330 4495 12341 29260 62196 121485 221815 383306 632710 1004731 1543465
(loop(\(x,i).((x * x) * (x - 1)),1,(((x - 1) * x) div 2)) div (2 + 1))
A292061: 0 0 0 6 60 300 1050 2940 7056 15120 29700 54450 94380 156156 248430 382200
(loop(\(x,i).(((x * x) + 2) * x),1,(((x - 1) * x) div 2)) div (2 + 1))
A282816: 0 0 1 11 76 340 1135 3101 7336 15576 30405 55495 95876 158236 251251 385945
(x - (1 - ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else 2) mod (2 + 1))))
A254926-A155919: 1 2 3 4 5 6 7 7 9 10 11 12 13 14 15 14
(if x <= 0 then 1 else (x - ((1 - ((((x + 2) + 2) * x) div 2)) div (2 + 1))))
A231408: 1 2 4 6 9
A061536: 1 2 4 6 9 12 16 20 24 28 33 38 44 50 56 62
(((loop(\(x,i).(((x * 2) - 1) * 2),(x div 2),2) + x) * 2) div (2 + 1))
A166753: 1 2 5 6 17 18 61 62 233 234 917 918 3649 3650 14573 14574
((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) * (2 + 1))
A127329: 15 21 33 39 51 57 69 87 93 111 123 129 141 159 177 183
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (2 + 1))
A001748: 6 9 15 21 33 39 51 57 69 87 93 111 123 129 141 159
((loop(\(x,i).(((x * x) - 1) * x),1,((x + 2) * x)) div 2) div (2 + 1))
A178208: 0 4 84 560 2300 7140 18424 41664 85320 161700 287980 487344 790244 1235780 1873200 2763520
((((1 - (x div 2)) mod (2 + 1)) + loop(\(x,i).(x * 2),x,2)) div (2 + 1))
A130781: 1 1 2 5 11 22 43 85 170 341 683 1366 2731 5461 10922 21845
((((if (x mod ((2 + 2) * 2)) <= 0 then 2 else (x mod 2)) + x) + 2) div (2 + 1))
A171482: 1 1 1 2 2 2 2 3 4 4 4 4 4 5 5 6
(if x <= 0 then 1 else ((x - (((1 - x) * (x div 2)) div (x + 2))) + (2 + 1)))
A231407: 1 4 6
A225551: 1 4 6 7 8 10 11 12 14 15 17 18 20 21 23 24
(((if ((2 + 2) mod (x + 1)) <= 0 then 0 else 1) + 1) + ((x + 2) div (2 + 1)))
A081315: 1 2 3 2 4 4 4 5 5 5 6 6 6 7 7 7
((if x <= 0 then 1 else (x * 2)) - ((((x - 2) * x) div (x + 2)) div (2 + 1)))
A187415: 1 3 4 6 8 10 11 13 15 17 18 20 22 23 25 27
((loop(\(x,i).(x * 2),(((x + 1) div 2) div 2),1) + (x * 2)) div (2 + 1))
A262265: 0 1 1 2 3 4 4 6 6 7 8 10 10 11 12 15
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((x * 2) * (2 + 1)))
A016914: 0 46656 2985984 34012224 191102976 729000000 2176782336 5489031744 12230590464 24794911296 46656000000 82653950016 139314069504 225199600704 351298031616 531441000000
((if x <= 0 then 1 else ((((x div 2) mod 2) - x) div 2)) + ((x * 2) * (2 + 1)))
A301710: 1 5 11 17 22 27 33 39 44 49 55 61 66 71 77 83
((((loop(\(x,i).(x * 2),x,x) mod (x + 1)) div 2) * (x div 2)) mod (2 + 1))
A257994: 0 0 1 0 1 1 0 0 2 1 1 1 0 0 2 0
(((((if (x mod (2 + 2)) <= 0 then 2 else 0) + x) * x) - (x div 2)) div (2 + 1))
A114532: 0 0 1 2 7 7 11 15
(((if ((x mod ((2 + 2) * 2)) - 2) <= 0 then 1 else 0) - (x mod 2)) mod (2 + 1))
A156596: 1 0 1 2 0 2 0 2 1 0 1 2 0 2 0 2
((2 + 1) - (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then (x mod 2) else (2 + 1)))
A092197: 0 0 0 2 0 0 0 0 3 0 0 0 0 2 0 0
((loop(\(x,i).((x * 2) - (i mod 2)),(x - 2),x) + (x mod 2)) div (2 + 1))
A275434: 0 0 0 2 4 12 28 68 156 356 796 1764 3868 8420 18204 39140
(((((loop(\(x,i).(i * x),x,1) div (x + 2)) + x) * x) div 2) div (2 + 1))
A075441: 0 0 0 2 5 18 96
(loop(\(x,i).(x * 2),x,1) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A116725: 1 2 5 12 26 52 99 184 340 632 1189 2268 4382 8556 16839 33328
(compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) mod (2 + 1))
A036580: 0 1 2 0 2 1 0 1 2 1 0 2 0 1 2 0
((x + 2) - (((if ((x div (2 + 1)) - 2) <= 0 then 2 else 0) - x) div (2 + 1)))
A284941: 2 3 4 6 7 8 10 11 12 14 16 17 18 20 21 22
((((loop(\(x,i).(x * x),2,(x + 1)) * (2 + 1)) + 1) + x) * (2 + 1))
A141326: 12 150 738 2316 5640 11682 21630 36888 59076 90030 131802 186660 257088 345786 455670 589872
((if (((x + 2) div ((x mod (2 + 1)) + 2)) mod 2) <= 0 then 1 else x) mod (2 + 1))
A067461: 0 1 2 1 1 2 1 1 1 0 1 2 0 1 1 1
loop(\(x,i).(((i - 1) mod (2 + 2)) + ((x * 2) * (2 + 1))),x,(2 + 1))
A037760: 3 18 109 656 3939 23634 141805 850832 5104995 30629970 183779821 1102678928 6616073571 39696441426 238178648557 1429071891344
loop(\(x,i).(((1 - x) mod (2 + 2)) + ((x * 2) * (2 + 1))),x,(2 + 1))
A037795: 3 20 121 726 4359 26156 156937 941622 5649735 33898412 203390473 1220342838 7322057031 43932342188 263594053129 1581564318774
(if x <= 0 then 2 else ((x * x) mod ((((x div 2) div (2 + 1)) + x) + (2 + 1))))
A253515: 2 1 4 3 2 1 6 5 4 3 2 1 8 7 6 5
(loop(\(x,i).((2 + 1) * x),(x * 2),1) + (((2 + 1) * x) * (2 + 1)))
A221911: 1 18 99 756 6597 59094 531495 4783032 43046793 387420570 3486784491 31381059708 282429536589 2541865828446 22876792455087 205891132094784
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (((2 + 1) * x) * (2 + 1)))
A198399: 1 0 63 702 6525 59004 531387 4782906 43046649 387420408 3486784311 31381059510 282429536373 2541865828212 22876792454835 205891132094514
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 1) * x) * (2 + 1)))
A017165: 0 59049 1889568 14348907 60466176 184528125 459165024 992436543 1934917632 3486784401 5904900000 9509900499 14693280768 21924480357 31757969376 44840334375
((((loop(\(x,i).(x * 2),x,(x + 1)) div (x + 2)) + 1) + x) mod (2 + 1))
A057276: 1 0 0 1 0 0 0 1 2 1 1 0 0 0 0 1
loop(\(x,i).(((((((x div 2) + x) + 1) * 2) * 2) + x) - 1),x,(2 + 1))
A037586: 3 22 157 1100 7703 53922 377457 2642200 18495403 129467822 906274757 6343923300 44407463103 310852241722 2175965692057 15231759844400
((x * x) div (x - ((2 - ((if (x mod 2) <= 0 then x else 1) + x)) * (2 + 1))))
A035458: 0 1 0 1 0 1 1 1 1 2 1 2 1 3 2 3
(if x <= 0 then 1 else (((((x * 2) * (2 + 1)) div (x + 1)) + x) + (2 + 1)))
A008536: 1 7 9 10 11 13 14 15 16 17 18 19 20 21 22 23
(loop(\(x,i).((((i * x) div (i + 1)) + x) * 2),(x + 1),x) mod (2 + 1))
A084888-A063725: 0 0 1 0 0 2 0 0 1 0 2 0 0 2 0 0
(loop(\(x,i).(((2 + 2) * (x + 1)) + x),((2 + 1) * 2),x) - (2 + 1))
A254029: 15621 31246 46871 62496 78121 93746 109371 124996 140621 156246 171871 187496 203121 218746 234371 249996
((loop(\(x,i).(x * x),1,(((x + 2) * (x + 1)) div 2)) * x) div (2 + 1))
A004282: 0 3 24 100 300 735 1568 3024 5400 9075 14520 22308 33124 47775 67200 92480
(loop(\(x,i).(x * x),1,((((x + 2) * (x + 1)) div 2) + x)) div (2 + 1))
A033275: 0 5 21 56 120 225 385 616 936 1365 1925 2640 3536 4641 5985 7600
((x * 2) - (if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else (2 + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A321767: 0 1 2 3 4 5 6 7 8 9 10 19 12 13 14 15
(((((x - (if ((x div 2) - 2) <= 0 then x else 1)) div 2) div 2) + x) + (2 + 1))
A154660: 3 4 5 6 7 8
A073071: 3 4 5 6 7 8 10 11 12 14 15 16 17 19 20 21
loop(\(x,i).(((x + 1) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,(2 + 1))
A037762: 3 24 193 1546 12371 98968 791745 6333962 50671699 405373592 3242988737 25943909898 207551279187 1660410233496 13283281867969 106266254943754
loop(\(x,i).(((x - 1) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,(2 + 1))
A037797: 3 26 209 1672 13379 107034 856273 6850184 54801475 438411802 3507294417 28058355336 224466842691 1795734741530 14365877932241 114927023457928
(2 - (if x <= 0 then 1 else (((x - (((x * 2) * 2) * 2)) * x) * (2 + 1))))
A010011: 1 23 86 191 338 527 758 1031 1346 1703 2102 2543 3026 3551 4118 4727
((((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x - 2)) * 2) + x) - (2 + 1))
A122619: 1 2 3 4 5 6 7 8 9 20 23 26 29 32 35 38
loop(\(x,i).((((x div 2) + x) mod (2 + 2)) + ((x * 2) * 2)),x,(2 + 1))
A037653: 3 12 50 203 812 3250 13003 52012 208050 832203 3328812 13315250 53261003 213044012 852176050 3408704203
loop(\(x,i).((((i - 1) mod (2 + 2)) + x) + ((x * 2) * 2)),x,(2 + 1))
A037759: 3 15 76 382 1913 9565 47826 239132 1195663 5978315 29891576 149457882 747289413 3736447065 18682235326 93411176632
(x - (((((x div (2 + 2)) - (if x <= 0 then 1 else x)) div 2) - x) * (2 + 1)))
A190711: 3 7 11 18 22 26 33 37 41 48 52 59 63 67 74 78
((if ((x div (2 + 1)) - 2) <= 0 then x else ((x + 2) + 2)) + (x div (2 + 1)))
A138083: 0 1 2 4 5 6
A023717: 0 1 2 4 5 6 8 9 10 16 17 18 20 21 22 24
(((x + 2) * 2) - ((if x <= 0 then 2 else ((2 - x) div 2)) + (x div (2 + 1))))
A049637: 2 6 8 10 12 15 16 19 21 23 25 28 29 32 34 36
(((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) + (x * 2)) - (x div (2 + 1)))
A249025-A065502: 2 4 5 6 8 10 12 14 15 16 18 20 22 24 25 26
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else (2 + 2)) + x) + (x div (2 + 1)))
A284509: 1 2 3 5 6 7 9 10 11 16 17 18 20 21 22 24
(((if (x - 2) <= 0 then 1 else (x div (2 + 1))) mod (2 + 1)) * (x mod (2 + 1)))
A309953: 0 1 2 0 1 2 0 2 4 0 0 0 0 1 2 0
loop(\(x,i).((x * 2) mod ((2 + 2) + 1)),(x div (2 + 1)),(x mod (2 + 1)))
A131186: 0 1 2 0 2 4 0 4 3 0 3 1 0 1 2 0
((((2 - (x mod (2 + 2))) + 2) + (if x <= 0 then 1 else 2)) - (x mod (2 + 1)))
A309442: 5 4 2 3 5 3
(x - (((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) - (x mod (2 + 1))))
A262478: 0 2 4 3 5 7 6 8 10 5 7 9 8 10 12 11
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + (x * 2)) - (x mod (2 + 1)))
A026310: 1 2 3 7 8 9 13 14 15 20 21 22 26 27 28 32
(((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + (x * 2)) - (x mod (2 + 1)))
A070752: 1 2 3 7 8 9 13 14 15 19 20 21 26 27 28 32
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) * (2 + 1))
A062561: 0 3 12 45 168 630 2376 9009 34320 131274 503880 1939938 7488432 28973100 112326480 436268025
((loop(\(x,i).((i * x) - (x div ((2 + 2) * 2))),2,x) + x) + (2 + 1))
A212662: 3 6 9 12 15 18 21 24 25 27 30 33 36 39 42 45
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + x) + (2 + 1))
A014690: 4 7 10 15 18 23 26 31 38 41 48 53 56 61 68 75
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) * x) * x) div (2 + 1))
A085284: 0 1 20 135 560 1750 4536 10290 21120 40095 71500 121121 196560 307580 466480 688500
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + x) + (2 + 1))
A014688: 3 5 8 11 16 19 24 27 32 39 42 49 54 57 62 69
((loop(\(x,i).(x - (x div (((2 + 2) * 2) - i))),2,x) + x) + (2 + 1))
A231773-A007617: 3 5 7 9 11 13 14 15 17 19 21 23 25 26 27 29
(compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x) * (2 + 1))
A277335: 0 3 6 12 15 24 27 30 48 51 54 60 63 96 99 102
((if x <= 0 then 1 else ((x * 2) * 2)) - (((1 - (x * x)) * x) div (2 + 1)))
A140226: 1 4 10 20 36 60 94 140 200 276 370 484 620 780 966 1180
(((loop(\(x,i).((x - (i div (0 - 2))) * (2 + 1)),x,0) + x) div 2) + 1)
A193418: 1 3 8 23 69 206 616 1846 5537 16609 49824 149469 448405 1345212 4035632 12106892
(((loop(\(x,i).(x * 2),(((x div (2 + 1)) - 2) - 1),1) + x) * 2) - 1)
A161957: 1 3 5 7 9 11 13 15 17 19 21 23 27 29 31 37
(((loop(\(x,i).((x - 1) mod ((i * 2) + 1)),(x - 1),1) + x) div 2) + 1)
A080374: 1 2 2 4 4 4 4 4 12 12 12 12 12 12 12 12
(((if ((x mod (2 - (x mod ((0 - 2) - 2)))) - 2) <= 0 then 1 else x) div 2) + 1)
A284254-A284252: 1 1 1 1 1 1 1 1 1 5 1 1 1 7 1 1
((((x div (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1)) + x) div 2) + 1)
A117656: 1 2 3 4 5 6 7 6 9 10 11 12 13 14 15 12
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),((((2 + 2) + 1) * x) + 2),1)
A013863: 144 35831808 8916100448256 2218611106740436992 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((((2 + 2) + 1) * x) + 2),1)
A013855: 100 10000000 1000000000000 100000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013843: 49 823543 13841287201 232630513987207 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((((2 + 2) + 1) * x) * 2),1)
A244450: 1 10000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((1 - x) mod ((if (2 - (x mod (((x div 2) + 2) + 1))) <= 0 then x else 2) + 1))
A049241: 1 0 2 2 2 2 1 0 2 2 2 2 2 2 2 2
(loop(\(x,i).(x * 2),x,1) div (((((x * 2) div (2 + 1)) * x) div 2) + 1))
A303846: 1 2 2 2 3 4 4 8 12
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),(((2 + 1) * x) + 2),1)
A013767: 400 3200000 25600000000 204800000000000 1638400000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(((2 + 1) * x) + 2),1)
A013757: 225 759375 2562890625 8649755859375 29192926025390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),(((2 + 1) * x) + 2),1)
A013763: 324 1889568 11019960576 64268410079232 374813367582081024 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),(((2 + 1) * x) + 2),1)
A013775: 576 7962624 110075314176 1521681143169024 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(((2 + 1) * x) + 2),1)
A013755: 196 537824 1475789056 4049565169664 11112006825558016 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(((2 + 1) * x) + 2),1)
A013753: 169 371293 815730721 1792160394037 3937376385699289 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((2 + 1) * x) + 2),1)
A013749: 121 161051 214358881 285311670611 379749833583241 505447028499293771 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((2 + 1) * x) + 2),1)
A013761: 289 1419857 6975757441 34271896307633 168377826559400929 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((loop(\(x,i).((x + 1) * i),x,0) * x) div (2 + 1)) + x) div 2) + 1)
A005143: 1 1 3 10 45 274
(((loop(\(x,i).((((2 + 1) * x) + 2) * 2),(x * 2),1) * x) div 2) + 1)
A118641: 1 33 2333
(((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,1) - x) div 2) + 1)
A216778: 1 0 0 0 3 20 130 924 7413 66744 667476 7342280 88107415 1145396460 16035550518 240533257860
((compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) * 2) + 1)
A166257: 1 7 11 15 17 19 23 27 29 31 35 39 41 43 47 49
loop(\(x,i).(x * x),(2 + 1),(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017360: 5764801 6975757441 282429536481 3512479453921 23811286661761 111429157112001 406067677556641 1235736291547681 3282116715437121 7837433594376961 17181861798319201 35114532758015841 67675234241018881
loop(\(x,i).((x * x) * x),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017355: 343 4913 19683 50653 103823 185193 300763 456533 658503 912673 1225043 1601613 2048383 2571353 3176523 3869893
loop(\(x,i).((x * x) * x),2,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017361: 40353607 118587876497 7625597484987 129961739795077 1119130473102767 6351461955384057 27206534396294947 95151694449171437 285544154243029527 760231058654565217 1838459212420154507 4108400332687853397
(loop(\(x,i).(((x mod 2) + 1) * (x div 2)),1,(((x + 1) * x) div 2)) - 1)
A176126: ~1 ~1 1 2 4 13 19 13 17 43 53 32 38 89 103 59
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((x - 1) * x) div 2),1)
A110195: 1 1 11 1331 1771561 25937424601 4177248169415651 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((x div (0 - 2)) mod (2 + 1)) + 2) mod (if x <= 0 then 1 else x)) div 2) + 1)
A308890: 1 1 1 1 2 2 2 3 3 2 2 2 2 3 3 2
((((((if (x mod ((2 + 1) * 2)) <= 0 then x else 1) - 1) div 2) * x) div 2) + 1)
A331927: 1 1 1 1 1 1 7 1 1 1 1 1 31 1 1 1
((((((if (x - 1) <= 0 then x else ((2 + 2) * 2)) + 1) * 2) + x) * 2) + 1)
A154297: 5 11 41 43
(loop(\(x,i).((x * 2) - ((((x + 1) div 2) div (2 + 1)) mod 2)),x,2) - 1)
A266791: 1 3 7 14 29 58 117 234 468 937 1875 3751 7502 15005 30010 60021
((x mod ((if ((x + 1) mod ((x div (2 + 2)) + 2)) <= 0 then 2 else x) + 2)) + 1)
A053626: 1 2 3 4 5 2 7 8 9 10 11 4 13 14 3 16
((x mod ((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then 2 else x) + 2)) + 1)
A323130-A028233: 1 2 3 4 5 2 7 8 9 2 11 4 13 2 3 16
((if x <= 0 then 1 else (((((x div 2) + 2) * (x div (2 + 2))) + x) * 2)) + 1)
A215658-A192579: 2 3 5 7 17
A072885: 2 3 5 7 17 19 23
loop(\(x,i).(((i * 2) + 1) * x),((x * x) div (x - ((2 - x) div 2))),1)
A133227: 1 3 15 15 105 105
(((((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 0 else x) + 2) * x) div 2) + 1)
A161952: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 113 128
(if (((x div 2) - ((x mod 2) * 2)) + 1) <= 0 then (((x + 2) * x) + 2) else 1)
A066787: 1 5 1 17 1 1 1 1 1 1 1 1 1 1 1 1
((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 2))) + x) div 2) + 1)
A323467: 1 1 3 2 3 3 7 4 5 5 7 6 7 7 15 8
((loop(\(x,i).((((i * 2) * (2 + 1)) + 1) * x),(x - 2),x) div 2) + 1)
A288556: 1 1 2 11 183
(((((x mod (2 + 1)) div 2) * (2 + 1)) + loop(\(x,i).(x * 2),x,2)) - 1)
A188545: 1 3 10
A186575: 1 3 10 15 31 66 127 255 514 1023 2047 4098 8191 16383 32770 65535
(2 div ((loop(\(x,i).(x * 2),((x * 2) div (2 + 1)),1) mod (x + 2)) + 1))
A332006: 1 1 0 0 0 1 2 0 0 0 0 0 0 1 2 0
(((loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) + 1) * (x + 2)) - 1)
A277351: 5 14 19 44 53 62 71 152 169 186 203 220 237 254 271 560
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),((x + 2) * (x + 2)),1)
A013913: 331776 2641807540224 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,(x + 2)) * (((x + 2) * (x + 2)) - 1))
A006044: 6 96 960 7680 53760 344064 2064384 11796480 64880640 346030080 1799356416 9160359936 45801799680 225485783040 1095216660480 5257039970304
(loop(\(x,i).((x * x) div (2 + 1)),2,((x + 2) + 1)) div ((x + 2) + 1))
A222011: 1 2 4 8
A085891-A006501: 1 2 4 8 12 18 27 36 48 64 80 100 125 150 180 216
((loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) div 2) div ((x + 2) + 1))
A100659: 60 90 108 120 128 135 140 144 147 150 152 154 156 157 158 160
((if x <= 0 then 1 else ((x - ((1 - (x * 2)) * 2)) * 2)) div ((x + 2) + 1))
A130234: 0 1 3 4 5 5 6 6 6 7 7 7 7 7 8 8
(if x <= 0 then 0 else (2 - ((1 - (((x * 2) * 2) * 2)) div ((x + 2) + 1))))
A102691: 0 4 5 6 7 7 8 8 8 8 9 9 9 9 9 9
(if x <= 0 then 1 else (2 - ((1 - (((x * 2) * 2) * 2)) div ((x + 2) + 1))))
A067471: 1 4 5 6 7 7 8 8 8 8 9 9 9 9 9 9
loop(\(x,i).(((x div (((2 + 1) * 2) + 1)) + x) + 2),2,((x + 2) + 1))
A105860: 7 8 10 11 13 14 15 16 18 19 20 22 23 24 26 27
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) div ((x + 2) + 1))
A054577: 0 1 4 11 36 115 381 1287 4420 15396 54264 193154 693373 2507287 9124560 33393355
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) mod ((x + 2) + 1))
A131381: 2 2 0 4 0 4 3 0 0 4 0 0 5 8 0 0
((loop(\(x,i).(x * 2),x,(((2 + 2) * 2) + x)) div 2) * ((x + 2) + 1))
A060621: 12 36 100 264 672 1664 4032 9600 22528 52224
((loop(\(x,i).(((x - 1) * x) div 2),2,x) * (x + 2)) * ((x + 2) + 1))
A065949: 0 0 0 90 630 2520 7560 18900 41580 83160 154440 270270 450450 720720 1113840 1670760
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,((x + 2) + 1))
A092443: 3 12 50 210 882 3696 15444 64350 267410 1108536 4585308 18929092 78004500 320932800 1318498920 5409723510
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,((x + 2) + 1))
A038665: 3 8 25 84 294 1056 3861 14300 53482 201552 764218 2912168 11143500 42791040 164812365 636438060
(((loop(\(x,i).(((x div (2 + 1)) + x) + 2),x,1) - x) div (x + 2)) + 1)
A018121: 1 1 2 2 2 3 4 5 6 7 9 11 14 17 22 27
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x + 2)) - 1)
A000777: 1 2 7 24 83 293 1055 3860 14299 53481 201551 764217 2912167 11143499 42791039 164812364
(((loop(\(x,i).((x * x) * x),1,((x + 2) + 2)) + x) * (x + 2)) + 1)
A250814: 129 379 873 1731 3097 5139 8049 12043 17361 24267 33049 44019 57513 73891 93537 116859
(((x * x) + (x mod 2)) div ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1))
A081609: 0 1 1 2 3 4 4 5 5 6 7 8 9 10 11 12
((loop(\(x,i).(x - ((2 - x) div ((2 + 2) + 1))),x,x) div (x + 2)) + 1)
A136421: 1 1 1 2 2 2 3 3 4 5 6 7 8 10 12 14
loop(\(x,i).(x - (((x * 2) * (2 + 1)) * ((2 + 2) + 1))),(x * 2),1)
A121499: 1 841 707281 594823321 500246412961 420707233300201 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 1 else ((x * x) div ((2 + 2) * (2 + 1)))) + (x * 2)) - 1)
A084555-A084505: 0 1 3 5 8 11 14 17 20 23 27 31 35 39 43 47
((((((if (x - 2) <= 0 then 1 else x) mod 2) + x) div (2 + 1)) + (x * 2)) + 1)
A304500: 1 3 6 8 10 13 15 17 19 22 24 27 29 31 33 36
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (x mod 2)) + 1),(x * 2),1)
A137466: 1 121 12121 1212121 121212121 12121212121 1212121212121 121212121212121 12121212121212121 1212121212121212121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (i div 2)) + 1),(x * 2),1)
A180027: 1 112 11223 1122334 112233445 11223344556 1122334455667 112233445566778 11223344556677889 1122334455667789000 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (2 div (x + 1))),(x * 2),1)
A266299: 1 110 11000 1100000 110000000 11000000000 1100000000000 110000000000000 11000000000000000 1100000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i * 2) - 1) * x) + 1) * 2) div (i + 1)),(x * 2),1)
A260775: 1 4 28 264 2860 33592 416024 5348880 70715340 955277400 13128240840 182965127280 2579808294648 36734706144304 527495903500720 7629973004184608
((((x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1)) mod 2) + (x * 2)) + 1)
A026491: 1 4 5 8 10 12 13 16 17 20 21 24 26 28 29 32
(loop(\(x,i).(((x div (2 + 2)) * (x div (2 + 2))) div 2),2,(x * 2)) + 1)
A147472-A146914: 1 1 1 1 1 1 1 1 3 3 5 5 9 9 19 19
loop(\(x,i).(((((x mod 2) * 2) * 2) * (2 + 1)) + (x div 2)),(x * 2),1)
A070396: 1 6 13 9 8 2 12 3 18 16 4 1 6 13 9 8
((if x <= 0 then 0 else ((((x * 2) - (x mod 2)) + 2) + 1)) * ((x * 2) + 1))
A280364: 0 12 35 56 99 132 195 240 323 380 483 552 675 756 899 992
(loop(\(x,i).((x * x) * 2),(2 + 1),((x * 2) + 1)) div ((x * 2) + 1))
A016831: 128 279936 10000000 105413504 612220032 2494357888 8031810176 21870000000 52523350144 114415582592 230539333248 435817657216 781250000000 1338925209984 2207984167552 3521614606208
(((loop(\(x,i).(x * 2),(x div 2),2) - (x mod 2)) - 1) div ((x * 2) + 1))
A258259: 1 0 0 0 0 0 1 0 1 1 3 2 5 4 8 8
((loop(\(x,i).(x * 2),x,1) div (((x - 1) * x) + 1)) div ((x * 2) + 1))
A182722: 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5
loop(\(x,i).((((x * x) * (x * x)) + (2 + 2)) * x),1,((x * 2) + 1))
A069071: 5 255 3145 16835 59085 161095 371345 759435 1419925 2476175 4084185 6436435 9765725 14349015 20511265 28629275
(loop(\(x,i).(((i + 2) + 2) * x),(x * 2),(x + 1)) * ((x * 2) + 1))
A091033: 1 180 25200 4233600 898128000 239740300800 79332244992000 32011868528640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((1 - (loop(\(x,i).(x * 2),((x * 2) - 1),1) + 2)) * ((x * 2) + 1))
A228767: ~2 ~9 ~45 ~231 ~1161 ~5643 ~26637 ~122895 ~557073 ~2490387 ~11010069 ~48234519 ~209715225 ~905969691 ~3892314141 ~16642998303
loop(\(x,i).((x - (i - (((2 + 1) * 2) + 1))) * x),2,((x * 2) + 1))
A069080: 84 864 3300 8736 18900 35904 62244 100800 154836 228000 324324 448224 604500 798336 1035300 1321344
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,((x * 2) + 1))
A257589: 1 9 50 245 1134 5082 22308 96525 413270 1755182 7407036 31097794 130007500 541574100 2249204040 9316746045
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,((x * 2) + 1))
A214955: 1 6 25 98 378 1452 5577 21450 82654 319124 1234506 4784276 18572500 72209880 281150505 1096087770
((loop(\(x,i).(((x div 2) div (2 + 1)) + x),2,x) + x) + ((x * 2) + 1))
A314680: 1 5 9 13 17 21 27 31 35 39 43 48 53 57 61 65
((loop(\(x,i).(((x div (2 + 1)) + x) + 2),x,1) div 2) div ((x * 2) - 1))
A286316: 0 1 1 1 1 1 1 1 1 2 2 3 4 5 6 8
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - ((x * 2) - 1))
A131733: 1 0 0 0 2 2 4 4 6 10 10 14 16 16 18 22
loop(\(x,i).((((((2 + 2) + 1) * x) * x) - (2 + 1)) * x),(x * 2),1)
A250488: 1 34 37889062373143906
loop(\(x,i).(((2 - (x mod 2)) * (x + 1)) * ((2 + 2) + 1)),(x div 2),1)
A285612: 1 1 10 10 110 110 1110 1110 11110 11110 111110 111110 1111110 1111110 11111110 11111110
((loop(\(x,i).((((i * 2) - 1) * x) * 2),x,(2 + 1)) - (x div 2)) - 1)
A307143: 2 5 34 358
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - (x mod 2)) + 1),(x div 2),1)
A287742: 1 1 10 10 101 101 1010 1010 10101 10101 101010 101010 1010101 1010101 10101010 10101010
(compr(\x.(loop(\(x,i).((x + 2) * x),2,(2 + 1)) mod (x + 1)),(x div 2)) + 1)
A087745: 1 1 3 3 5 5 15 15 17 17 51 51 85 85 255 255
loop(\(x,i).(x * 2),((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)),1)
A060818: 1 1 2 2 8 8 16 16 128 128 256 256 1024 1024 2048 2048
(if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else ((x div 2) + 1))
A102390: 0 1 2 0 3 0 0 4 5 0 0 6 0 7 8 0
(((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 0) + 1) * ((x div 2) + 1))
A282868: 11 1 22 2 33 3 44 4 55 5 66 6 77 7 88 8
((if (2 - x) <= 0 then (((x - 1) * x) div (2 + 1)) else 1) div ((x div 2) + 1))
A116579: 1 1 0 1 1 2 2 3 3 4 5 6 6 7 7 8
((((if (x mod 2) <= 0 then 2 else x) + 1) * ((x div 2) + 1)) * ((x div 2) + 1))
A114798: 3 2 12 16 27 54 48 128 75 250 108 432 147 686 192 1024
(loop(\(x,i).(((i + 2) * x) div ((i div 2) + 1)),x,1) * ((x div 2) + 1))
A107231: 1 3 12 30 90 210 560 1260 3150 6930 16632 36036 84084 180180 411840 875160
((((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2) + 2) * ((x div 2) + 1))
A195031: 5 12 10 24 15 36 20 48 25 60 30 72 35 84 40 96
(if (x div ((((x mod (2 + 2)) + 2) * 2) * 2)) <= 0 then 1 else ((x div 2) - 1))
A277604: 1 1 1 1 1 1 1 1 3 1 1 1 5 5 1 1
((((loop(\(x,i).(x * 2),x,1) + 2) div ((2 + 2) + 1)) + (x mod 2)) + 1)
A118406: 1 2 2 4 4 8 14 28 52 104 206 412 820 1640 3278 6556
(((if (((2 + 2) * (2 + 1)) mod (x + 1)) <= 0 then 0 else 2) + (x mod 2)) + 1)
A246017: 1 2 1 2 3 2 3 4 3 4 3 2 3 4 3 4
(((if ((((2 + 2) * 2) * 2) mod (x + 2)) <= 0 then 0 else 2) - (x mod 2)) + 1)
A192099: 1 2 1 2 3 2 1 2 3 2 3 2 3 2 1 2
(((((x * 2) - (if ((x div 2) - 2) <= 0 then 0 else 1)) * 2) - (x mod 2)) + 1)
A285419: 1 4 9 12 17 20 23 26 31 34 39 42 47 50 55 58
((((x mod (if (x - 2) <= 0 then 1 else (x div (2 + 1)))) div 2) + (x mod 2)) + 1)
A226898: 1 2 1 2 1 2 1 2 1 2 1 3 1 2 2 2
((((((if (x - 1) <= 0 then x else 2) + x) * (x + 1)) div 2) + (x mod 2)) + 1)
A227589: 1 4 7 12 16 23 29 38 46 57 67 80 92 107 121 138
((((2 - ((x div 2) mod 2)) * ((if x <= 0 then 1 else 2) + 2)) - (x mod 2)) + 1)
A217516: 7 8 5 4 9 8 5 4 9 8 5 4 9 8 5 4
(((loop(\(x,i).(x * x),1,(((x div 2) + x) + 2)) div 2) - (x mod 2)) + 1)
A302392: 3 4 13 18 33 40 61 72 99 112 145 162 201 220 265 288
(loop(\(x,i).((((x * 2) * 2) + (x mod 2)) - 1),x,(2 - (x mod 2))) - 1)
A176963: 1 3 27 59 443 955 7099 15291 113595 244667 1817531 3914683 29080507 62634939 465288123 1002159035
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x div (2 - (x mod 2))),1)
A285540: 1 11 11 1111 111 111111 1111 11111111 11111 1111111111 111111 111111111111 1111111 11111111111111 11111111 1111111111111111
(loop(\(x,i).(((x + 1) * 2) + (2 mod (x + 1))),(x div 2),(x mod 2)) + 1)
A060482: 1 2 3 5 9 13 21 29 45 61 93 125 189 253 381 509
(loop(\(x,i).(((x * 2) - (x div (2 + 2))) + 2),(x div 2),(x mod 2)) + 1)
A193622: 1 2 3 5 7 10
A054405: 1 2 3 5 7 10 14 19 26 35 47 63 84 112 149 198
((loop(\(x,i).((x * 2) * 2),(x div 2),(2 - (x mod 2))) + (x mod 2)) - 1)
A282453: 1 1 7 4 31 16 127 64 511 256 2047 1024 8191 4096 32767 16384
(((if (x mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0) + 1) * ((x mod 2) + 1))
A089086: 5 2 1 2 1 10 1 2 1 2 5 2 1 2 1 10
((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1) * ((x mod 2) + 1))
A296420: 1 10 5 10 5 2 5 10 5 10 1 10 5 10 5 2
loop(\(x,i).((((x * 2) * 2) + 1) * 2),((x div 2) + 1),((x mod 2) + 1))
A198309: 10 18 82 146 658 1170 5266 9362 42130 74898 337042 599186 2696338 4793490 21570706 38347922
loop(\(x,i).(((x * 2) * (2 + 1)) + 2),((x div 2) + 1),((x mod 2) + 1))
A198307: 8 14 50 86 302 518 1814 3110 10886 18662 65318 111974 391910 671846 2351462 4031078
loop(\(x,i).((((2 + 2) + 1) * x) + 2),((x div 2) + 1),((x mod 2) + 1))
A198306: 7 12 37 62 187 312 937 1562 4687 7812 23437 39062 117187 195312 585937 976562
(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),x,1) div ((x mod 2) + 1))
A152299: 1 5 91 410 7381 33215 597871 2690420 48427561 217924025 3922632451 17651846030 317733228541 1429799528435 25736391511831 115813761803240
(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),x,1) div ((x mod 2) + 1))
A156359: 1 7 196 1372 38416 268912 7529536 52706752 1475789056 10330523392 289254654976 2024782584832 56693912375296 396857386627072 11112006825558016 77784047778906112
((((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1) * (x + 1)) div ((x mod 2) + 1))
A262343: 1 3 9 2 15 9 7 12 27 5 33 18 13 21 45 8
(((if (x - 2) <= 0 then 2 else 1) - ((x mod (2 + 1)) div 2)) div ((x mod 2) + 1))
A092510: 2 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0
((loop(\(x,i).(((2 + 1) * x) + 1),(x div 2),2) div 2) * ((x mod 2) + 1))
A018268: 1 2 3 6 11 22 33 66
((if ((x div (2 + 1)) - 2) <= 0 then 1 else (x div (2 + 2))) div ((x mod 2) + 1))
A029242: 1 0 1 0 1 0 1 0 1 1 2 1 3 1 3 1
((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) div ((x mod 2) + 1))
A029244: 1 0 1 0 1 0 1 0 1 0 2 1 3 1 3 1
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x div 2),((x mod 2) + 1))
A018400: 1 2 13 26 169 338
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x div 2),((x mod 2) + 1))
A018351: 1 2 11 22 121 242
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(x div 2),((x mod 2) + 1))
A018529: 1 2 17 34 289 578
(((if (x - 2) <= 0 then 1 else (x div (2 + 1))) - (x mod 2)) div ((x mod 2) + 1))
A029221: 1 0 1 0 1 0 2 0 2 1 3 1 4 1 4 2
loop(\(x,i).(((((x mod 2) + x) * (2 + 1)) + x) - 1),x,((x mod 2) + 1))
A267926: 1 7 23 119 375 1911 6007 30583 96119 489335 1537911 7829367 24606583 125269879 393705335 2004318071
(((if ((x - (x div (2 + 1))) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 1)
A340346-A329379-A328479-A327832-A193267: 1 2 1 4 1 6 1 8 1 2 1 12 1 2 1 16
(((if (x - 2) <= 0 then 0 else (((x * x) div (2 + 2)) + x)) - (x mod 2)) + 1)
A209350: 1 0 1 5 9 11 16 19 25 29 36 41 49 55 64 71
(((((x * 2) * 2) + 1) * (((2 + 2) * 2) + 1)) + (if x <= 0 then 2 else 1))
A063158: 11 46 82 118 154 190 226 262 298 334 370 406 442 478 514 550
(((x - loop(\(x,i).(x - (((x div 2) - 2) div (2 + 1))),x,x)) div 2) + 1)
A096401: 1 0 0 0 1 1 1 1 1 1 1 2 2 3 3 4
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - x) * 2) + 1)
A239636: 1 1 3 5 11 13 19 21 27 37 39 49 55 57 63 73
((if x <= 0 then 1 else ((((x mod 2) * 2) + 1) * 2)) * (((x * x) div 2) + 1))
A066714: 1 6 6 30 18 78 38 150 66 246 102 366 146 510 198 678
((compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x) * 2) + 1)
A118113: 1 3 5 9 11 17 19 21 33 35 37 41 43 65 67 69
((loop(\(x,i).((((((2 + 1) * 2) + 1) * i) * i) + x),x,x) * 2) + 1)
A063494: 1 17 75 203 429 781 1287 1975 2873 4009 5411 7107 9125 11493 14239 17391
((0 - x) mod ((loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) * x) + 1))
A004966: 0 200 399 598 797 996 1195 1394 1593 1792 1991 2190 2389 2588 2787 2986
(compr(\x.(if (x mod 2) <= 0 then ((x * 2) mod (((x div 2) + 2) + 2)) else 0),x) + 1)
A263800: 1 2 4 6 8 9 10
A110262: 1 2 4 6 8 9 10 12 14 16 18 20 22 24 25 26
(compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),x) + 1)
A329366-A328957-A326848-A326534-A325371-A325247-A323306-A306013-A298538-A268082-A247199-A195943-A164336-A087441-A046686-A036116-A000961: 1 2 3 4 5 7 8 9 11 13 16 17 19 23 25 27
loop(\(x,i).(((((x * 2) * 2) * 2) - (x mod ((0 - 2) - 1))) + 1),x,1)
A037615: 1 11 90 721 5771 46170 369361 2954891 23639130 189113041 1512904331 12103234650 96825877201 774607017611 6196856140890 49574849127121
(compr(\x.(2 - (x mod ((x div (if (x mod 2) <= 0 then (2 + 2) else 1)) + 1))),x) - 1)
A153347: 2 4 6 7 8 10 12 13 14 16 17 18 19 20 21 22
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1),x,1)
A269025: 1 61 3661 219661 13179661 790779661 47446779661 2846806779661 170808406779661 10248504406779661 614910264406779661 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x + 2) + 2) + 2) * 2) * ((2 + 2) + 1)) + 1),x,1)
A173806: 1 71 771 7771 77771 777771 7777771 77777771 777777771 7777777771 77777777771 777777777771 7777777777771 77777777777771 777777777777771 7777777777777771
loop(\(x,i).((((((2 + 2) * 2) + x) * 2) * ((2 + 2) + 1)) + 1),x,1)
A170955: 1 91 991 9991 99991 999991 9999991 99999991 999999991 9999999991 99999999991 999999999991 9999999999991 99999999999991 999999999999991 9999999999999991
(loop(\(x,i).(((x + 2) + 2) + 1),((x div ((2 + 2) + 1)) - 1),x) + 1)
A081385: 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 26
loop(\(x,i).((((x * 2) * (2 + 1)) + ((x + 1) mod (2 + 1))) + 1),x,1)
A037613: 1 9 56 337 2025 12152 72913 437481 2624888 15749329 94495977 566975864 3401855185 20411131113 122466786680 734800720081
loop(\(x,i).((i - ((x - (((x * 2) * 2) * 2)) * (2 + 1))) + 1),x,1)
A014905: 1 23 486 10210 214415 4502721 94557148 1985700116 41699702445 875693751355 18389568778466 386180944347798 8109799831303771 170305796457379205 3576421725604963320 4611686018427387903
((loop(\(x,i).((x - i) * x),2,(((2 + 2) * (2 + 1)) - 1)) + x) + 1)
A342351: 11881 11882 11883 11884 11885 11886 11887 11888 11889 11890 11891 11892 11893 11894 11895 11896
loop(\(x,i).(((((2 + 2) + 1) * x) + ((x * 2) mod (2 + 1))) + 1),x,1)
A037612: 1 8 42 211 1058 5292 26461 132308 661542 3307711 16538558 82692792 413463961 2067319808 10336599042 51682995211
loop(\(x,i).(((((x * 2) * 2) * 2) - ((x div 2) mod (2 + 1))) + 1),x,1)
A033135: 1 9 72 577 4617 36936 295489 2363913 18911304 151290433 1210323465 9682587720 77460701761 619685614089 4957484912712 39659879301697
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + (x mod (2 + 1))) + 1),x,1)
A037609: 1 11 102 919 8273 74460 670141 6031271 54281442 488532979 4396796813 39571171320 356140541881 3205264876931 28847383892382 259626455031439
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (i mod (2 + 1))) + 1),x,1)
A037610: 1 12 123 1231 12312 123123 1231231 12312312 123123123 1231231231 12312312312 123123123123 1231231231231 12312312312312 123123123123123 1231231231231231
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((i mod (2 + 1)) + 1)),x,1)
A037607: 1 9 66 463 3243 22704 158929 1112505 7787538 54512767 381589371 2671125600 18697879201 130885154409 916196080866 6413372566063
(compr(\x.((loop(\(x,i).(((x + 2) + 1) * 2),x,1) mod (x + 1)) - 1),x) + 1)
A106317: 1 2 3 5 7 11 13 17 19 21 23 29 31 37 41 43
(compr(\x.((loop(\(x,i).((x - (i mod 2)) * 2),x,1) mod (x + 1)) - 1),x) + 1)
A193622: 1 2 3 5 7 10
A087246: 1 2 3 5 7 10 11 13 14 15 17 19 21 22 23 26
(compr(\x.(x mod ((loop(\(x,i).(x * 2),x,(x - 1)) mod (x + 1)) + 1)),x) + 1)
A127072: 1 2 3 4 5 7 8 9 11 13 16 17 19 23 27 29
(compr(\x.(2 - (x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1))),x) + 1)
A335080-A325411-A323304-A168638-A106543-A064040-A024619: 6 10 12 14 15 18 20 21 22 24 26 28 30 33 34 35
(compr(\x.(x mod (if (x mod (((x mod (2 + 1)) * 2) + 1)) <= 0 then 2 else 1)),x) + 1)
A329780: 1 2 3 5 7 8 9 11 12 13 14 15 17 18 19 20
loop(\(x,i).(((i + 1) * x) * (2 + 1)),((((2 + 1) * 2) + 1) * x),1)
A054434: 1 88179840 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) + ((x div (0 - 2)) mod 2)) + 1),x,1)
A037538: 1 7 36 181 907 4536 22681 113407 567036 2835181 14175907 70879536 354397681 1771988407 8859942036 44299710181
loop(\(x,i).(((((2 - x) mod (((2 + 2) * 2) + 1)) * 2) * 2) + 1),x,1)
A070383: 1 5 25 17 13 29 1 5 25 17 13 29 1 5 25 17
loop(\(x,i).(((((i * 2) + 1) * x) * 2) * (((2 + 2) * 2) + 1)),x,1)
A254620: 1 54 4860 612360 99202320 19642059360 4596241890240 1240985310364800 379741504971628800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x div 2) mod 2) + x) + (((x * 2) * 2) * 2)) + 1),x,1)
A037534: 1 10 92 829 7462 67160 604441 5439970 48959732 440637589 3965738302 35691644720 321224802481 2891023222330 26019209000972 234172881008749
(((loop(\(x,i).((x + 2) * 2),(x - 1),0) div ((2 + 2) + 1)) + x) + 1)
A066000: 1 2 3 6 10 18 31 58
loop(\(x,i).((i + x) - ((((x mod 2) + x) - 1) div ((2 + 2) + 1))),x,1)
A276208: 1 2 4 7 10 14 18 22 26 30 35 39 44 49 54 59
((loop(\(x,i).(x * x),1,(((x + 1) * 2) * ((2 + 2) + 1))) + x) + 1)
A055438-A031698: 101 402 903 1604 2505 3606 4907 6408 8109 10010 12111 14412 16913 19614 22515 25616
loop(\(x,i).((i + 1) - (x - (((x * 2) * 2) * ((2 + 2) + 1)))),x,1)
A014903: 1 21 402 7642 145203 2758863 52418404 995949684 18923044005 359537836105 6831218886006 129793158834126 2466070017848407 46855330339119747 890251276443275208 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) + 1) * x) + 1))
A016865: 1 7776 161051 1048576 4084101 11881376 28629151 60466176 115856201 205962976 345025251 550731776 844596301 1252332576 1804229351 2535525376
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) + x) * ((2 + 2) + 1)),x,1)
A036083: 1 15 175 1750 15750 131250 1031250 7734375 55859375 391015625 2666015625 17773437500 116210937500 747070312500 4731445312500 29571533203125
(compr(\x.(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) + 1)),x) + 1)
A222011: 1 2 4 8
A242313: 1 2 4 8 11 16 21 22 31 32 41 42 44 51 61 62
loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) - ((x div 2) mod 2)) + 1),x,1)
A037709: 1 7 30 120 481 1927 7710 30840 123361 493447 1973790 7895160 31580641 126322567 505290270 2021161080
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + ((x div 2) mod 2)) + 1),x,1)
A037535: 1 11 112 1121 11211 112112 1121121 11211211 112112112 1121121121 11211211211 112112112112 1121121121121 11211211211211 112112112112112 1121121121121121
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - ((x div 2) mod 2)) + 1),x,1)
A259661: 1 11 110 1100 11001 110011 1100110 11001100 110011001 1100110011 11001100110 110011001100 1100110011001 11001100110011 110011001100110 1100110011001100
loop(\(x,i).(((((i * 2) + 1) * x) * 2) * (((i * 2) * 2) + 1)),x,1)
A091544: 1 30 2700 491400 150368400 69470200800 45155630520000 39285398552400000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if x <= 0 then 0 else (((x div 2) + 1) * (2 + 1))) * (2 + 1)) + x) + 1)
A118853-A117841: 1 11 21 22 32 33 43 44 54 55 65 66 76 77 87 88
loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) + 1)) * (2 + 1)),x,1)
A098399: 1 9 90 945 10206 112266 1250964 14073345 159497910 1818276174 20827527084 239516561466 2763652632300 31979409030900 370961144758440 4312423307816865
loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) - 1)) * (2 + 1)),x,1)
A151383-A005159: 1 3 18 135 1134 10206 96228 938223 9382230 95698746 991787004 10413763542 110546105292 1184422556700 12791763612360 139110429284415
((loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) * (2 + 1))) + x) + 1)
A031702: 145 578 1299 2308 3605 5190 7063 9224 11673 14410 17435 20748 24349 28238 32415 36880
((loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) * (2 + 1))) - x) - 1)
A156635: 143 574 1293 2300 3595 5178 7049 9208 11655 14390 17413 20724 24323 28210 32385 36848
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1)) + x) + 1)
A101338: 1 2 4 9 20 41 77 134 219 340 506 727 1014 1379 1835 2396
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((x + 1) mod (2 + 1))),x,1)
A037510: 1 11 99 892 8030 72270 650431 5853881 52684929 474164362 4267479260 38407313340 345665820061 3110992380551 27998931424959 251990382824632
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((x - 1) mod (2 + 1))),x,1)
A037502: 1 9 83 748 6732 60590 545311 4907799 44170193 397531738 3577785642 32200070780 289800637021 2608205733189 23473851598703 211264664388328
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((i + 1) mod (2 + 1))),x,1)
A037511: 1 12 120 1201 12012 120120 1201201 12012012 120120120 1201201201 12012012012 120120120120 1201201201201 12012012012012 120120120120120 1201201201201201
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((i + 1) mod (2 + 1))),x,1)
A037508: 1 9 63 442 3096 21672 151705 1061937 7433559 52034914 364244400 2549710800 17847975601 124935829209 874550804463 6121855631242
loop(\(x,i).(((((i * x) * (2 + 1)) - x) div (i + 1)) * (2 + 1)),x,1)
A097188: 1 3 15 90 594 4158 30294 227205 1741905 13586859 107459703 859677624 6943550040 56540336040 463630755528 3824953733106
(((((loop(\(x,i).i,((x div 2) - 2),1) * 2) * 2) div (2 + 1)) + x) + 1)
A121603: 2 3 4 5 6 7 8 9 11
A256476: 2 3 4 5 6 7 8 9 11 12 15 16 18 19 21 22
(loop(\(x,i).(((x * 2) - (x mod ((2 + 2) * 2))) * 2),(2 + 1),x) + 1)
A145849: 1 9 33 41 129 137 161 169 513 521 545 553 641 649 673 681
loop(\(x,i).((i + 1) - (x - ((((x * 2) * 2) * 2) * (2 + 1)))),x,1)
A014909: 1 25 578 13298 305859 7034763 161799556 3721389796 85591965317 1968615202301 45278149652934 1041397442017494 23952141166402375 550899246827254639 4611686018427387903 4611686018427387903
(((loop(\(x,i).((2 - (x div (i + 2))) * x),x,2) * (2 + 1)) + x) + 1)
A004759: 7 14 15 28 29 30 31 56 57 58 59 60 61 62 63 112
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * (2 + 1)),x,1)
A101600: 1 6 45 378 3402 32076 312741 3127410 31899582 330595668 3471254514 36848701764 394807518900 4263921204120 46370143094805 507343918566690
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),((2 + 1) * x),1)
A187364: 1 35 1716 92378 5200300 300540195 17672631900 1052049481860 63205303218876 3824345300380220 232714176627630544 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((2 + 1) * x) + 1))
A016782: 1 4096 117649 1000000 4826809 16777216 47045881 113379904 244140625 481890304 887503681 1544804416 2565726409 4096000000 6321363049 9474296896
(loop(\(x,i).(((i + 2) + 1) * x),(x - 1),x) * (((2 + 1) * x) - 1))
A108033: 0 2 40 480 5280 58800 685440 8467200 111283200 1556755200 23151744000 365318553600 6102480384000 107665189632000 2001613565952000 39125617090560000
loop(\(x,i).(((((x mod ((2 + 1) * 2)) * 2) + 1) * x) * (2 + 1)),x,1)
A067422: 1 9 189 3969 83349 1750329 36756909 771895089 16209796869 340405734249 7148520419229 150118928803809 3152497504879989 66202447602479769 1390251399652075149 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) div (i + 2)) + x) + (x div (2 + 1))),x,1)
A222011: 1 2 4 8
A007673: 1 2 4 8 15 28 51 90
(compr(\x.(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 0 else (x mod (2 + 1))),x) + 1)
A055054: 1 4 7 10 13 15 16 19 22 23 25 28 31 34 37 39
loop(\(x,i).((((x * 2) * 2) * ((2 + 2) + 1)) + (x mod (2 + 1))),x,1)
A170740-A170702-A170654-A170606-A170558-A170510-A170462-A170414-A170366-A170318-A170270-A170222-A170174-A170126-A170078-A170030-A169562-A169514-A169466-A169418-A169370-A169322-A169274-A169226-A169178-A169130-A169082-A169034-A168986-A168938-A168890-A168842-A168794-A168746-A168698-A167933-A167681: 1 21 420 8400 168000 3360000 67200000 1344000000 26880000000 537600000000 10752000000000 215040000000000 4300800000000000 86016000000000000 1720320000000000000 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * 2) + (x mod (2 + 1))),x,1)
A170752-A170714-A170666-A170618-A170570-A170522-A170474-A170426-A170378-A170330-A170282-A170234-A170186-A170138-A170090-A170042-A169574-A169526-A169478-A169430-A169382-A169334-A169286-A169238-A169190-A169142-A169094-A169046-A168998-A168950-A168902-A168854-A168806-A168758-A168710-A167949-A167765-A167391-A167086: 1 33 1056 33792 1081344 34603008 1107296256 35433480192 1133871366144 36283883716608 1161084278931456 37154696925806592 1188950301625810944 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) + (x mod 2)) + (x mod (2 + 1))),x,1)
A037541: 1 10 81 649 5194 41553 332425 2659402 21275217 170201737 1361613898 10892911185 87143289481 697146315850 5577170526801 44617364214409
(((if (x - 1) <= 0 then x else (2 - (((2 - x) * x) div (2 + 1)))) + x) + 1)
A112509: 1 3 5 7 10 13 17 22 27 33 40 47 55 64 73 83
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((1 - i) mod (2 + 1))),x,1)
A037503: 1 10 102 1021 10210 102102 1021021 10210210 102102102 1021021021 10210210210 102102102102 1021021021021 10210210210210 102102102102102 1021021021021021
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((1 - i) mod (2 + 1))),x,1)
A037500: 1 7 51 358 2506 17544 122809 859663 6017643 42123502 294864514 2064051600 14448361201 101138528407 707969698851 4955787891958
loop(\(x,i).((x - (x div (((0 - 2) - 2) - 1))) + (i div (2 + 1))),x,1)
A193622: 1 2 3 5 7 10
A036469: 1 2 3 5 7 10 14 19 25 33 43 55 70 88 110 137
loop(\(x,i).((x - (((1 - (((i * 2) + 1) * x)) * x) div 2)) - 1),x,1)
A144017: 1 1 2 14 888
loop(\(x,i).(((((x * 2) * 2) * 2) div (i + 1)) * ((i * 2) + 1)),x,1)
A098400: 1 12 160 2240 32256 473088 7028736 105431040 1593180160 24216338432 369849532416 5671026163712 87246556364800 1346089726771200 20819521107394560 322702577164615680
loop(\(x,i).((x * 2) - ((((i mod 2) * 2) - 1) * ((i * 2) - 1))),x,1)
A095342: 1 1 5 5 17 25 61 109 233 449 917 1813 3649 7273 14573 29117
loop(\(x,i).(((((x * 2) + 1) * 2) div (i + 1)) * ((i * 2) - 1)),x,1)
A181282: 1 3 12 60 336 2016 12672 82368 549120 3734016 25798656 180590592 1278025728 9128755200 65727037440 476521021440
loop(\(x,i).((((((2 + 1) * x) + 1) div ((i * 2) + 1)) + x) + 1),x,1)
A342711: 1 3 6 9 13 17 22 27 32 38 44 50 57 64 71 78
(((loop(\(x,i).((i * x) + 1),x,1) * (((x + 1) * x) + 1)) + x) + 1)
A001340: 2 8 38 212 1370 10112 84158 780908 8000882 89763320 1094915222 14431179908 204423631178 3097603939952 50001759773870 856665220770332
((loop(\(x,i).(((x * 2) * 2) - ((x + 1) div (i + 1))),x,1) + x) + 1)
A030126: 2 5 14 45 161
(2 - loop(\(x,i).((((((x * 2) + 1) * x) div (i + 1)) + x) - 1),x,1))
A079947: 1 1 1 2 3 4 5 5 5 5 5 5 5 5 5 6
(compr(\x.(loop(\(x,i).((((x * x) + 2) * 2) * 2),2,0) mod (x + 1)),x) + 1)
A018362: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264
(compr(\x.(loop(\(x,i).(((x + 2) * 2) * 2),(2 + 2),0) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018589: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680
(compr(\x.(loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,0) mod (x + 1)),x) + 1)
A176176: 1 2 3 4 5 7 8 11 13 16 17 19 23 28 29 31
(compr(\x.(loop(\(x,i).(((i + x) * x) + 2),(2 + 1),1) mod (x + 1)),x) + 1)
A018629: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54
(compr(\x.(loop(\(x,i).(((x * 2) * 2) * (x + 1)),2,1) mod (x + 1)),x) + 1)
A018376: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96
(compr(\x.((loop(\(x,i).(x * x),2,((2 + 2) * 2)) - 1) mod (x + 1)),x) + 1)
A003524: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117
(compr(\x.(loop(\(x,i).((x + 2) * i),((2 + 2) * 2),1) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018391: 1 2 4 5 8 10 16 20 32 40 64 80 160 320
(compr(\x.(loop(\(x,i).(((x + 2) * x) * (2 + 2)),2,1) mod (x + 1)),x) + 1)
A018585: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48
(compr(\x.(loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,1) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018653: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200
(compr(\x.(loop(\(x,i).(((x + 2) * 2) * 2),(2 + 2),1) mod (x + 1)),x) + 1)
A018731: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72
(compr(\x.((loop(\(x,i).((x * x) * x),2,(2 + 2)) - 1) mod (x + 1)),x) + 1)
A003528: 1 3 7 9 19 21 27 57 63 73 133 171 189 219 399 511
(compr(\x.(loop(\(x,i).((x + 1) * x),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A018255: 1 2 3 5 6 10 15 30
A018727: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930
(compr(\x.(loop(\(x,i).((i + x) * x),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A324107-A018744-A018478: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40
(compr(\x.(loop(\(x,i).(((i * 2) + 1) * x),(2 + 2),1) mod (x + 1)),x) + 1)
A018736: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945
(compr(\x.(1 - (loop(\(x,i).((i + 2) * x),(2 + 2),1) mod (x + 1))),x) + 1)
A110547: 7 11 13 14 16 17 19 21 22 23 25 26 27 28 29 31
(compr(\x.(loop(\(x,i).((((x + 2) + 2) * x) * 2),2,1) mod (x + 1)),x) + 1)
A018371: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280
(compr(\x.(loop(\(x,i).((((x * x) + 2) * x) * 2),2,1) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018465: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456
(compr(\x.(loop(\(x,i).(((x + 2) * x) * (i + 2)),2,1) mod (x + 1)),x) + 1)
A018431: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132
(compr(\x.(loop(\(x,i).((i + x) * x),(2 + 1),(2 + 1)) mod (x + 1)),x) + 1)
A233576: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28
(compr(\x.(loop(\(x,i).((x - i) * x),(2 + 1),(2 + 1)) mod (x + 1)),x) + 1)
A018490: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42
(compr(\x.(loop(\(x,i).((x + 2) * (x + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A018468: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462
(compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x) + 1)
A262609-A114334-A018690-A003586: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54
(compr(\x.(loop(\(x,i).(((x + 2) + 1) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A018423: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378
(compr(\x.(loop(\(x,i).(((i + x) + 1) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A018365: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270
(compr(\x.(loop(\(x,i).(((i * x) + 1) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A018382: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100
(compr(\x.(loop(\(x,i).(((i + x) + x) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A018723: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66
(compr(\x.(2 - ((loop(\(x,i).((x * 2) * 2),x,2) - 1) mod (x + 1))),x) + 1)
A193166: 4 8 9 10 12 14 16 18 20 21 22 24 25 26 27 28
(compr(\x.(loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A133075-A133020: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250
(compr(\x.(loop(\(x,i).((x * x) * (x + 1)),(2 + 1),2) mod (x + 1)),x) + 1)
A095037: 1 2 3 4 6 8 9 12 13 16 18
A308299: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36
(compr(\x.(loop(\(x,i).((x * x) * (x + 2)),(2 + 1),2) mod (x + 1)),x) + 1)
A291719: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27
(compr(\x.(loop(\(x,i).((x * x) * x),1,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A018338: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216
(compr(\x.(loop(\(x,i).((x - 1) * x),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A018693: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870
(compr(\x.(loop(\(x,i).((x - 2) * x),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A018502: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88
(compr(\x.(loop(\(x,i).((x - i) * x),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A018676: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28
(compr(\x.(loop(\(x,i).((x - (i - 2)) * x),(2 + 1),2) mod (x + 1)),x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A178877: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28
(compr(\x.(loop(\(x,i).(((i + x) + x) * x),(2 + 1),2) mod (x + 1)),x) + 1)
A018339: 1 2 4 5 10 11 20 22 44 55 110 220
(compr(\x.(loop(\(x,i).((2 - x) * i),((2 + 1) * 2),2) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018718: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152
(compr(\x.(loop(\(x,i).(((x * x) * 2) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A257997-A250089-A070023-A051037-A035303: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25
(compr(\x.(loop(\(x,i).(((x + 1) * x) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018402: 1 2 3 6 9 18 19 38 57 114 171 342
(compr(\x.(loop(\(x,i).(((i + 1) * x) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A018471: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156
(compr(\x.(loop(\(x,i).((1 - (x * x)) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018565: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640
(compr(\x.(loop(\(x,i).(((x * x) * 2) * (x - 1)),2,2) mod (x + 1)),x) + 1)
A018708: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896
(compr(\x.(loop(\(x,i).(((x + 2) * x) * (x - 1)),2,2) mod (x + 1)),x) + 1)
A018519: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80
(compr(\x.(loop(\(x,i).(0 - (((x * x) * x) + 1)),2,2) mod (x + 1)),x) + 1)
A018614: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728
(compr(\x.((loop(\(x,i).((x + 2) * (x + 1)),2,2) - 2) mod (x + 1)),x) + 1)
A018321: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60
(compr(\x.(loop(\(x,i).(((i + x) * (x + 1)) * 2),2,2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018631: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760
(compr(\x.(loop(\(x,i).(((x * x) + (2 + 2)) * 2),2,2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018498: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520
(compr(\x.(loop(\(x,i).((x - 1) * i),((2 + 2) * 2),2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018310: 1 2 4 5 8 10 16 20 32 40 80 160
(compr(\x.(loop(\(x,i).(x - ((x * x) * (2 + 2))),2,2) mod (x + 1)),x) + 1)
A018652: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798
(compr(\x.(loop(\(x,i).((x - ((x * x) * 2)) * 2),2,2) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A018541: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50
(compr(\x.((loop(\(x,i).(((x * x) * x) + 2),2,2) - 2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018767: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
(compr(\x.(loop(\(x,i).((i + x) * (x + 1)),(2 + 2),2) mod (x + 1)),x) + 1)
A003591: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196
(compr(\x.(loop(\(x,i).((x + 1) * x),2,((2 + 2) * 2)) mod (x + 1)),x) + 1)
A018271: 1 2 3 4 6 8 9 12 18 24 36 72
(compr(\x.(loop(\(x,i).((x - i) * x),2,((2 + 2) * 2)) mod (x + 1)),x) + 1)
A108319: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28
(compr(\x.(loop(\(x,i).(((i * x) + 2) * x),(2 + 2),2) mod (x + 1)),x) + 1)
A200381: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24
(compr(\x.(loop(\(x,i).(((i + x) + x) * x),(2 + 2),2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018699: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110
(compr(\x.(loop(\(x,i).(((i * i) + x) * x),(2 + 2),2) mod (x + 1)),x) + 1)
A051661: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24
(compr(\x.(loop(\(x,i).((((x + 2) + 1) * x) * 2),2,2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018722: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920
(compr(\x.(loop(\(x,i).((((x * 2) - 1) * x) * 2),2,2) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018515: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552
(compr(\x.(loop(\(x,i).(((x div 2) + x) * (x + 2)),2,2) mod (x + 1)),x) + 1)
A018357: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84
(compr(\x.((loop(\(x,i).(x * x),2,((x * 2) * 2)) + 2) mod (x + 1)),x) + 1)
A018359: 1 2 3 6 43 86 129 258
(compr(\x.(loop(\(x,i).((i + x) * (x + 1)),2,(2 + 2)) mod (x + 1)),x) + 1)
A018599: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702
(compr(\x.(loop(\(x,i).((i + x) * (x * 2)),2,(2 + 2)) mod (x + 1)),x) + 1)
A178878: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(((2 + 2) * (x + 1)) + x),1)
A013865: 20736 5159780352 1283918464548864 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 + 2) * (x + 1)) + x),1)
A013857: 10000 1000000000 100000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013845: 2401 40353607 678223072849 11398895185373143 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).((((x * 2) * 2) - 1) * x),2,2) mod (x + 1)),x) + 1)
A018636: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770
(compr(\x.(loop(\(x,i).((((i + 2) * x) - 1) * x),2,2) mod (x + 1)),x) + 1)
A018429: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390
(compr(\x.((x mod 2) - (loop(\(x,i).((x + 2) * x),2,2) mod (x + 1))),x) + 1)
A285510: 1 3 5 6 7 9 11 12 13 14 15 17 18 19 21 22
(compr(\x.(loop(\(x,i).(((i + x) + (x * 2)) * x),2,2) mod (x + 1)),x) + 1)
A018552: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616
(compr(\x.(loop(\(x,i).((x * x) - 1),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018341: 1 2 4 7 8 14 16 28 32 56 112 224
(compr(\x.(loop(\(x,i).((x - 1) * x),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018424: 1 2 4 5 10 19 20 38 76 95 190 380
(compr(\x.(loop(\(x,i).((((x * x) + 1) * x) * x),2,2) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018433: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400
(compr(\x.(loop(\(x,i).(x - ((x * x) * (x * x))),2,2) mod (x + 1)),x) + 1)
A018559: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45
loop(\(x,i).((((x * 2) * (2 + 1)) * (2 + 1)) + (2 div (x + 1))),x,1)
A170738-A170700-A170652-A170604-A170556-A170508-A170460-A170412-A170364-A170316-A170268-A170220-A170172-A170124-A170076-A170028-A169560-A169512-A169464-A169416-A169368-A169320-A169272-A169224-A169176-A169128-A169080-A169032-A168984-A168936-A168888-A168840-A168792-A168744-A168696-A167929-A167676: 1 19 342 6156 110808 1994544 35901792 646232256 11632180608 209379250944 3768826516992 67838877305856 1221099791505408 21979796247097344 395636332447752192 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) * (2 + 1)) + (2 div (x + 1))),x,1)
A170744-A170706-A170658-A170610-A170562-A170514-A170466-A170418-A170370-A170322-A170274-A170226-A170178-A170130-A170082-A170034-A169566-A169518-A169470-A169422-A169374-A169326-A169278-A169230-A169182-A169134-A169086-A169038-A168990-A168942-A168894-A168846-A168798-A168750-A168702-A167940-A167696-A167212: 1 25 600 14400 345600 8294400 199065600 4777574400 114661785600 2751882854400 66045188505600 1585084524134400 38042028579225600 913008685901414400 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).((1 - x) * x),(2 + 1),(x - 2)) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018309: 1 2 3 4 6 12 13 26 39 52 78 156
(compr(\x.(loop(\(x,i).((x * x) * (x + 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018261: 1 2 3 4 6 8 12 16 24 48
(compr(\x.(loop(\(x,i).(((x * x) - 2) * x),2,(x * 2)) mod (x + 1)),x) + 1)
A018265: 1 2 4 7 8 14 28 56
(loop(\(x,i).(((x - 2) * 2) div (i + 1)),(x - 1),((x + 1) * x)) + 1)
A161435: 1 3 5 6 5 3 1 0 0 0 0 0 0 0 0 0
(if (x - 2) <= 0 then x else (((2 + 2) * (x + 1)) * (((x + 1) * x) + 1)))
A110899: 0 1 2 208
(compr(\x.(loop(\(x,i).(((i * x) - 1) * x),(2 + 1),x) mod (x + 1)),x) + 1)
A018284: 1 2 3 6 17 34 51 102
(compr(\x.(loop(\(x,i).(i - (i * x)),((2 + 1) * 2),x) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018253: 1 2 3 4 6 8 12 24
A018758: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984
(compr(\x.(loop(\(x,i).(((1 - x) * x) * (x - 1)),2,x) mod (x + 1)),x) + 1)
A018256: 1 2 3 4 6 9 12 18 36
(compr(\x.(loop(\(x,i).((((x * x) + 1) * x) - 2),2,x) mod (x + 1)),x) + 1)
A018270: 1 2 5 7 10 14 35 70
(compr(\x.(loop(\(x,i).(((i - x) * x) * (x - 2)),2,x) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018280: 1 2 3 4 6 8 12 16 24 32 48 96
(compr(\x.(loop(\(x,i).(((i * x) * x) * (x - 2)),2,x) mod (x + 1)),x) + 1)
A018278: 1 2 3 5 6 9 10 15 18 30 45 90
(compr(\x.(loop(\(x,i).(((x * x) + (i + 2)) * x),2,x) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018275: 1 2 4 5 8 10 16 20 40 80
(compr(\x.(loop(\(x,i).((x - (2 + 1)) * (x * x)),2,x) mod (x + 1)),x) + 1)
A018289: 1 2 4 7 8 14 16 28 56 112
(compr(\x.(loop(\(x,i).((((x * x) * 2) + i) * x),2,x) mod (x + 1)),x) + 1)
A018266: 1 2 3 4 5 6 10 12 15 20 30 60
(compr(\x.(loop(\(x,i).((x - 1) * x),2,((2 - x) * x)) mod (x + 1)),x) + 1)
A018297: 1 2 3 4 6 11 12 22 33 44 66 132
(compr(\x.(loop(\(x,i).((x - 2) * x),2,((2 - x) * x)) mod (x + 1)),x) + 1)
A018329: 1 3 5 13 15 39 65 195
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),x) + 1)
A289719: 1 2 7 31 141 631 2773 12013 51481 218791 923781 3879877 16224937 67603901 280816201 1163381401
(((((x div 2) mod 2) + (if x <= 0 then 0 else 1)) * 2) + (((x - 1) * x) + 1))
A169626: 1 3 7 11 15 23 35
((loop(\(x,i).(((((x + 2) * 2) + x) div (i + 2)) + x),x,1) - x) - 1)
A034198: 0 1 3 6 10 16 23 32 43 56 71 89 109 132 158 187
loop(\(x,i).((((((x * 2) * 2) * 2) * (2 + 1)) + (i + x)) + 1),x,1)
A014914: 1 27 678 16954 423855 10596381 264909532 6622738308 165568457709 4139211442735 103480286068386 2587007151709662 64675178792741563 1616879469818539089 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * (2 + 1)) + 1) * x) * 2) + i) + 1),x,1)
A229463: 1 28 731 19010 494265 12850896 334123303 8687205886 225867353045 5872551179180 152686330658691 3969844597125978 103215959525275441 2683614947657161480 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((x - (((x * 2) * 2) * (2 + 1))) div (i + 1))),x,1)
A215054: 1 7 33 124 397 1125 2893 6871 15269 32065 64130 122916 226922 405218 702378 1185263
loop(\(x,i).(((((x * 2) * 2) * 2) * ((i * 2) - 1)) div (i + 1)),x,1)
A151403: 1 4 32 320 3584 43008 540672 7028736 93716480 1274544128 17611882496 246566354944 3489862254592 49855175065600 717914520944640 10409760553697280
loop(\(x,i).((((((i div 2) * 2) + 1) * x) * (2 + 2)) div (i + 1)),x,1)
A060899: 1 2 8 24 96 320 1280 4480 17920 64512 258048 946176 3784704 14057472 56229888 210862080
loop(\(x,i).((((((2 + 2) * (2 + 1)) - 1) * x) * 2) + (i + 1)),x,1)
A014907: 1 24 531 11686 257097 5656140 124435087 2737571922 60226582293 1324984810456 29149665830043 641292648260958 14108438261741089 310385641758303972 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((1 - ((((2 + 2) + 1) * x) * 2)) div (i + 1))),x,1)
A032169: 1 6 26 91 273 728 1768 3978 8398 16796 32065 58786 104006 178296 297160 482885
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) + (i + x)) + (i + 1)),x,1)
A005712: 1 6 19 45 90 161 266 414 615 880 1221 1651 2184 2835 3620 4556
(loop(\(x,i).(x div ((x mod ((x mod ((2 + 1) * 2)) + 1)) + 1)),2,x) + 1)
A214685-A165725: 1 1 1 1 1 1 7 1 1 1 11 1 13 7 1 1
loop(\(x,i).((((((x mod 2) + x) - 1) * ((2 + 2) + 1)) - 1) * 2),x,1)
A073555: 1 8 68 668 6668 66668 666668 6666668 66666668 666666668 6666666668 66666666668 666666666668 6666666666668 66666666666668 666666666666668
loop(\(x,i).(((2 + 1) * x) mod ((((2 + 2) * (2 + 1)) - 1) * 2)),x,1)
A070355: 1 3 9 5 15 1 3 9 5 15 1 3 9 5 15 1
(loop(\(x,i).((x div 2) div ((x mod (((x mod 2) + 1) * 2)) + 1)),2,x) + 1)
A110963: 1 1 1 1 2 1 1 1 3 2 2 1 4 1 1 1
loop(\(x,i).(((2 + 1) * x) mod (((((2 + 2) * 2) * 2) + 1) * 2)),x,1)
A070359: 1 3 9 27 13 5 15 11 33 31 25 7 21 29 19 23
loop(\(x,i).(((x mod ((2 + 2) + 1)) - (((i mod 2) * 2) - 1)) * 2),x,1)
A091085: 1 0 2 2 6 0 2 2 6 0 2 2 6 0 2 2
(loop(\(x,i).(((x + 2) + 2) + 2),(((x - 1) div (2 + 1)) - 2),x) + 1)
A032979: 1 2 3 4 5 6 7 8 9 10 17 18 19 26 27 28
(loop(\(x,i).(((((x div (2 + 1)) mod 2) + x) * 2) div (2 + 1)),2,x) + 1)
A003160: 1 1 1 2 3 4 4 4 5 5 5 6 6 6 7 8
(loop(\(x,i).(x - (x div (((2 + 2) * 2) + 1))),((2 + 1) * 2),x) + 1)
A285762: 1 2 3 4 5 6 7 8 9 9 9 9 9 9 9 10
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((x div (2 + 1)) mod 2)),x,1)
A033127: 1 9 82 739 6651 59860 538741 4848669 43638022 392742199 3534679791 31812118120 286309063081 2576781567729 23191034109562 208719306986059
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div ((x mod 2) + 1)) * 2),x,1)
A067421: 1 8 144 2592 46656 839808 15116544 272097792 4897760256 88159684608 1586874322944 28563737812992 514147280633856 9254651051409408 166583718925369344 2998506940656648192
(((((2 + 1) * 2) * (2 + 1)) + 1) * loop(\(x,i).((x + 1) * 2),x,1))
A304513: 19 76 190 418 874 1786 3610 7258 14554 29146 58330 116698 233434 466906 933850 1867738
loop(\(x,i).(((((i * x) * 2) * ((i * 2) - 1)) div (i + 1)) * 2),x,1)
A152029: 1 2 16 240 5376 161280 6082560 276756480 14760345600 903333150720 62412108595200 4805732361830400 408117579035443200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) - (x div (0 - 2))) * 2),x,1)
A170753-A170715-A170667-A170619-A170571-A170523-A170475-A170427-A170379-A170331-A170283-A170235-A170187-A170139-A170091-A170043-A169575-A169527-A169479-A169431-A169383-A169335-A169287-A169239-A169191-A169143-A169095-A169047-A168999-A168951-A168903-A168855-A168807-A168759-A168711-A167950-A167785-A167396-A167087: 1 34 1122 37026 1221858 40321314 1330603362 43909910946 1449027061218 47817893020194 1577990469666402 52073685498991266 1718431621466711778 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 2) - ((2 - x) div (2 - (x div (0 - 2))))),2,x) - 1)
A224778: 2 5 6 8 9 10 11 13 14 15 17 18 19 20 21 22
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - (x div (0 - 2))) * 2),x,1)
A170741-A170703-A170655-A170607-A170559-A170511-A170463-A170415-A170367-A170319-A170271-A170223-A170175-A170127-A170079-A170031-A169563-A169515-A169467-A169419-A169371-A169323-A169275-A169227-A169179-A169131-A169083-A169035-A168987-A168939-A168891-A168843-A168795-A168747-A168699-A167935-A167693: 1 22 462 9702 203742 4278582 89850222 1886854662 39623947902 832102905942 17474161024782 366957381520422 7706105011928862 161828205250506102 3398392310260628142 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((x div (0 - 2)) mod 2)),x,1)
A033137: 1 11 110 1101 11011 110110 1101101 11011011 110110110 1101101101 11011011011 110110110110 1101101101101 11011011011011 110110110110110 1101101101101101
(((x div ((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 2) + 2)) + x) + 1)
A087919: 1 2 3 4 6 7 8 9 11 13 14 15 16 17 18 19
loop(\(x,i).(((2 + 1) * x) mod (((((2 + 1) * 2) + 1) * 2) * 2)),x,1)
A070357: 1 3 9 27 25 19 1 3 9 27 25 19 1 3 9 27
loop(\(x,i).(x - (x div (1 - (((x mod ((2 + 2) + 1)) + 2) * 2)))),x,1)
A271317: 1 2 3 4 5 7 8 9 10 14 16 20
loop(\(x,i).(x - ((((x div ((0 - 2) - 2)) * (2 + 1)) div 2) div 2)),x,1)
A304632: 1 2 3 4 5 7 9 12 15 18 22 27 33 40 48 57
(((if (x - 2) <= 0 then 1 else ((((x div 2) div (2 + 1)) + 2) + 2)) + x) + 1)
A288860: 2 3 4 8 9 10 12 13 14 15 16 17 19 20 21 22
loop(\(x,i).(x - (((0 - (((x div 2) + x) * (x + 1))) div 2) div 2)),x,1)
A309115: 1 2 5 16
A037075: 1 2 5 16 118
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (((x - 1) div 2) mod 2)),x,1)
A033146: 1 10 100 1001 10010 100100 1001001 10010010 100100100 1001001001 10010010010 100100100100 1001001001001 10010010010010 100100100100100 1001001001001001
(loop(\(x,i).(((1 - x) * 2) mod (2 - (x div ((0 - 2) - 2)))),2,x) + 1)
A105103-A103684: 1 1 1 2 1 1 2 1 2 1 2 1 3 1 1 2
loop(\(x,i).(((((x + 1) * 2) mod (2 - (x div (0 - 2)))) + 2) * 2),x,1)
A272966: 1 6 12 8 4 8 4 8
((((((x - (if ((x div 2) - 2) <= 0 then x else 1)) div 2) div 2) * 2) + x) + 1)
A032975: 1 2 3 4 5 6 9 10 11 14 15 16 17 20 21 22
loop(\(x,i).((x - (((x * x) div (((x div 2) + 2) + 2)) mod 2)) * 2),x,1)
A222011: 1 2 4 8
A164203: 1 2 4 8 16 30 58 114 226 452 904 1808 3616 7232 14464 28928
(loop(\(x,i).i,((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2),x) + 1)
A304181: 1 2 3 4 5 2 7 8 9 2 11 2 13 2 3 16
(((if (x - 1) <= 0 then x else (((x - ((x div 2) mod 2)) div 2) + 2)) + x) + 1)
A085621: 1 3 5 7 9 10 11 13 15 16 17 19
((((2 + 2) * 2) + 1) mod (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else 1))
A088806: 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 9
(if (x - ((2 + 2) * (2 + 1))) <= 0 then x else ((((2 + 2) * 2) + x) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A023766: 0 1 2 3 4 5 6 7 8 9 10 11 12 22 23 24
(loop(\(x,i).((((2 + 2) * 2) + x) + 1),(x - ((2 + 2) * 2)),x) + 1)
A092596: 1 2 3 4 5 6 7 8 9 19
A190876-A088473: 1 2 3 4 5 6 7 8 9 19 29 39 49 59 69 79
(loop(\(x,i).((((2 + 2) * 2) + x) + 2),(x - ((2 + 2) * 2)),x) + 1)
A290951: 1 2 3 4 5 6 7 8 9 20 31 42 53 64 75 86
((((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) * 2) + x) - 1)
A194403: 1 2 3 4 5 6 7 8 9 10 13 14 17 18 19 20
(((if (((x div 2) - 2) - 2) <= 0 then 1 else ((x div (2 + 2)) * 2)) + x) - 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A055568: 0 1 2 3 4 5 6 7 8 9 13 14 17
(((2 + 2) + 1) mod (if ((x - 1) mod ((x mod (2 + 2)) + 2)) <= 0 then x else 1))
A199092: 0 0 0 0 0 0 0 0 0 0 0 5 0 5 0 0
(loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1)
A178863-A178862-A178861-A178860-A178858-A176526-A161466-A117296-A100952-A096503-A079333-A070331-A063938-A055238-A002473: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20
loop(\(x,i).((((i mod (2 + 1)) div 2) + 1) + (((x * 2) * 2) * 2)),x,1)
A037533: 1 9 74 593 4745 37962 303697 2429577 19436618 155492945 1243943561 9951548490 79612387921 636899103369 5095192826954 40761542615633
loop(\(x,i).((((i mod (2 + 1)) - 1) mod 2) + (((x * 2) * 2) * 2)),x,1)
A033126: 1 8 65 521 4168 33345 266761 2134088 17072705 136581641 1092653128 8741225025 69929800201 559438401608 4475507212865 35804057702921
loop(\(x,i).((((x - 1) div 2) mod (2 + 2)) + (((x * 2) * 2) * 2)),x,1)
A037594: 1 8 67 537 4296 34371 274969 2199752 17598019 140784153 1126273224 9010185795 72081486361 576651890888 4613215127107 36905721016857
((((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) * 2) + x) + 1)
A137708: 1 2 5 6 7 8 11 12 15 16 17 18 21 22 23 24
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - ((x div 2) mod 2)) + 2),x,1)
A037551: 1 12 122 1221 12212 122122 1221221 12212212 122122122 1221221221 12212212212 122122122122 1221221221221 12212212212212 122122122122122 1221221221221221
loop(\(x,i).(((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2) * 2),x,1)
A269796: 1 8 80 896 10752 135168 1757184 23429120 318636032 4402970624 61641588736 872465563648 12463793766400 179478630236160 2602440138424320 37965009078190080
((x mod (((2 + 2) + 1) * 2)) mod (if ((x + 1) mod (2 + 2)) <= 0 then x else 1))
A090750: 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 5
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((i + 1) mod (2 + 2))),x,1)
A037700: 1 11 102 918 8263 74369 669324 6023916 54215245 487937207 4391434866 39522913794 355706224147 3201356017325 28812204155928 259309837403352
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((i + 1) mod (2 + 2))),x,1)
A037701: 1 12 123 1230 12301 123012 1230123 12301230 123012301 1230123012 12301230123 123012301230 1230123012301 12301230123012 123012301230123 1230123012301230
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((i + 1) mod (2 + 2))),x,1)
A037698: 1 9 66 462 3235 22647 158532 1109724 7768069 54376485 380635398 2664447786 18651134503 130557941523 913905590664 6397339134648
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((1 - x) mod (2 + 2))),x,1)
A037687: 1 10 103 1032 10321 103210 1032103 10321032 103210321 1032103210 10321032103 103210321032 1032103210321 10321032103210 103210321032103 1032103210321032
loop(\(x,i).(((x mod (2 + 2)) * ((2 + 2) + 1)) + (x div (2 + 2))),x,1)
A070373: 1 5 6 11 17 9 7 16 4 1 5 6 11 17 9 7
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((1 - i) mod (2 + 2))),x,1)
A037684: 1 7 52 366 2563 17941 125590 879132 6153925 43077475 301542328 2110796298 14775574087 103429018609 724003130266 5068021911864
loop(\(x,i).(((((((2 + 2) * 2) * 2) * (2 + 1)) + x) + 2) * 2),x,1)
A140062: 1 102 304 708 1516 3132 6364 12828 25756 51612 103324 206748 413596 827292 1654684 3309468
((((x - (((x div (2 + 2)) - (if x <= 0 then 1 else x)) div 2)) * 2) + x) - 1)
A085048: 1 4 7 12 15 18 23
A276880: 1 4 7 12 15 18 23 26 29 34 37 42 45 48 53 56
loop(\(x,i).((x - ((x div ((((2 + 2) * 2) * 2) - x)) mod 2)) * 2),x,1)
A222011: 1 2 4 8
A164161: 1 2 4 8 14 26 50 100 200 400 800 1600 3200 6400 12800 25600
loop(\(x,i).((((x div ((2 + 2) + 1)) mod 2) + x) + ((x * 2) * 2)),x,1)
A033123: 1 5 26 131 655 3276 16381 81905 409526 2047631 10238155 51190776 255953881 1279769405 6398847026 31994235131
loop(\(x,i).(((((i + 2) * (i + 1)) div 2) + x) + ((x * 2) * 2)),x,1)
A052244: 1 8 46 240 1215 6096 30508 152576 762925 3814680 19073466 95367408 476837131 2384185760 11920928920 59604644736
loop(\(x,i).(((((x * 2) * 2) * ((2 + 2) + 1)) - (x div 2)) * 2),x,1)
A170721-A170673-A170625-A170577-A170529-A170481-A170433-A170385-A170337-A170289-A170241-A170193-A170145-A170097-A170049-A170001-A169533-A169485-A169437-A169389-A169341-A169293-A169245-A169197-A169149-A169101-A169053-A169005-A168957-A168909-A168861-A168813-A168765-A168717-A167956-A167829-A167538-A167093-A166693: 1 40 1560 60840 2372760 92537640 3608967960 140749750440 5489240267160 214080370419240 8349134446350360 325616243407664040 4611686018427387903 4611686018427387903 4611686018427387903
A170759-A063820: 1 40 1560 60840 2372760 92537640 3608967960 140749750440 5489240267160 214080370419240 8349134446350360 325616243407664040 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * x) * ((2 + 2) + 1)) - (x div 2)) * 2),x,1)
A170749-A170711-A170663-A170615-A170567-A170519-A170471-A170423-A170375-A170327-A170279-A170231-A170183-A170135-A170087-A170039-A169571-A169523-A169475-A169427-A169379-A169331-A169283-A169235-A169187-A169139-A169091-A169043-A168995-A168947-A168899-A168851-A168803-A168755-A168707-A167945-A167715-A167370-A167083: 1 30 870 25230 731670 21218430 615334470 17844699630 517496289270 15007392388830 435214379276070 12621216999006030 366015292971174870 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * (2 + 1)) * (2 + 1)) - (x div 2)) * 2),x,1)
A170755-A170717-A170669-A170621-A170573-A170525-A170477-A170429-A170381-A170333-A170285-A170237-A170189-A170141-A170093-A170045-A169577-A169529-A169481-A169433-A169385-A169337-A169289-A169241-A169193-A169145-A169097-A169049-A169001-A168953-A168905-A168857-A168809-A168761-A168713-A167952-A167815-A167429-A167089-A063819: 1 36 1260 44100 1543500 54022500 1890787500 66177562500 2316214687500 81067514062500 2837362992187500 99307704726562500 3475769665429687500 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) * (2 + 1)) - (x div 2)) * 2),x,1)
A170729-A170681-A170633-A170585-A170537-A170489-A170441-A170393-A170345-A170297-A170249-A170201-A170153-A170105-A170057-A170009-A169541-A169493-A169445-A169397-A169349-A169301-A169253-A169205-A169157-A169109-A169061-A169013-A168965-A168917-A168869-A168821-A168773-A168725-A167980-A167863-A167645-A167101-A166854: 1 48 2256 106032 4983504 234224688 11008560336 517402335792 24317909782224 1142941759764528 53718262708932816 2524758347319842352 4611686018427387903 4611686018427387903 4611686018427387903
A170767-A063822: 1 48 2256 106032 4983504 234224688 11008560336 517402335792 24317909782224 1142941759764528 53718262708932816 2524758347319842352 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x - (((i mod 2) * 2) - 1)) * 2) + (x div 2)) * 2),x,1)
A123010: 1 0 4 16 84 416 2084 10416 52084 260416 1302084 6510416 32552084 162760416 813802084 4069010416
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) - (x div 2)) * 2),x,1)
A170747-A170709-A170661-A170613-A170565-A170517-A170469-A170421-A170373-A170325-A170277-A170229-A170181-A170133-A170085-A170037-A169569-A169521-A169473-A169425-A169377-A169329-A169281-A169233-A169185-A169137-A169089-A169041-A168993-A168945-A168897-A168849-A168801-A168753-A168705-A167943-A167699-A167235-A063817: 1 28 756 20412 551124 14880348 401769396 10847773692 292889889684 7908027021468 213516729579636 5764951698650172 155653695863554644 4202649788315975388 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) - 2),x,1)
A327770: 1 47 2301 112747 5524601 270705447 13264566901 649963778147 31848225129201 1560563031330847 76467588535211501 3746911838225363547 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((((x div 2) div (((2 + 1) * 2) + 1)) - x) div 2)),x,1)
A077868: 1 2 3 5 8 12 18 27 40 59 87 128 188 276 405 594
(1 - (x mod ((((if (((x div 2) - 2) - 2) <= 0 then 1 else x) div 2) - x) - 1)))
A300358: 1 2 2 2 2 2 2 2 2 2 3 4 3 4 3 4
(2 - loop(\(x,i).(x - ((2 - (((x - 1) mod (2 + 1)) * x)) div 2)),x,1))
A140298: 1 2 3 4 5 9 13 14 27 40 41 81 121 122 243 364
(loop(\(x,i).((2 div (((2 + 1) * 2) - (x div (2 + 1)))) + x),2,x) + 1)
A238368: 1 2 3 4 5 6 7 8 9 10 11 12 15 16 18 20
loop(\(x,i).((((((x * x) div (x + 2)) + x) * (x + 1)) - x) * 2),x,1)
A060599: 1 2 14 752
(loop(\(x,i).(((((x * 2) * 2) * 2) div ((x * x) + 1)) + x),2,x) + 1)
A003880: 1 7 7 7 7 8 9 9 9
(loop(\(x,i).(((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + x),2,x) + 1)
A067535: 1 2 3 5 5 6 7 10 10 10 11 13 13 14 15 17
loop(\(x,i).(((((x mod ((2 + 1) * 2)) * (2 + 1)) + 2) * x) * 2),x,1)
A067427: 1 10 280 7840 219520 6146560 172103680 4818903040 134929285120 3778019983360 105784559534080 2961967666954240 82935094674718720 2322182650892124160 4611686018427387903 4611686018427387903
loop(\(x,i).(((i - ((1 - x) div ((x div (2 + 1)) + 2))) + x) + 2),x,1)
A004120: 1 4 9 16 25 35 46 58 71 85 100 116 133 151 170 190
(((if (x - 2) <= 0 then 2 else ((x * x) div (x - ((2 - x) div 2)))) + x) - 1)
A171511: 1 2 3 4 6 7 9 10 12 14 16 17 19 20 22 24
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,2) - x) - 1)
A132788: 1 2 7 24 79 258 851 2852 9715 33582 117561 416012 1485787 5348866 19389675 70715324
(compr(\x.(x - (loop(\(x,i).(1 - (x * 2)),x,(2 + 1)) mod (x + 2))),x) + 1)
A094859: 1 2 3 4 6 10
A068499: 1 2 3 4 6 10 12 16 18 22 28 30 36 40 42 46
(compr(\x.((x + 1) mod (loop(\(x,i).((x + 1) * 2),x,1) mod (x + 2))),x) + 1)
A241071: 1 2 4 6 8 10 12
A114871: 1 2 4 6 8 10 12 16 18 20 22 28 30 32 36 40
loop(\(x,i).((x - ((i + 1) * i)) * ((x * 2) + 1)),((x + 2) * x),1)
A090162: 1 3003 4611686018427387903
(loop(\(x,i).(((i + 2) + 1) * x),x,(x + 1)) * (((x + 2) * x) + 1))
A154306: 1 32 540 7680 105000 1451520 20744640 309657600 4849891200 79833600000 1381360780800 25107347865600 478826764416000 9568689242112000 200074178304000000 4370687116443648000
(loop(\(x,i).((x * 2) * 2),(x + 1),(x + 2)) * (((x + 2) * x) + 1))
A129004: 8 192 2304 20480 153600 1032192 6422528 37748736 212336640 1153433600 6090129408 31406948352 158779572224 789200240640 3865470566400 18691697672192
(loop(\(x,i).((2 + 1) * x),(x + 1),(x + 2)) * (((x + 2) * x) + 1))
A129003: 6 108 972 6480 36450 183708 857304 3779136 15943230 64953900 257217444 994857552 3772168218 14061928860 51656065200 187339329792
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),x) * (((x + 2) * x) + 1))
A128989: 0 144 3888 62208 777600 8398080 82301184 752467968 6530347008 54419558400 438984437760 3448023220224 26487087464448 199671890116608 1481082701414400 10833062044631040
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),x) * (((x + 2) * x) + 1))
A128991: 0 256 9216 196608 3276800 47185920 616562688 7516192768 86973087744 966367641600 10393820856320 108851651149824 1114904790564864 11206222510292992 110830772079820800 1080863910568919040
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),x) * (((x + 2) * x) + 1))
A128988: 0 100 2250 30000 312500 2812500 22968750 175000000 1265625000 8789062500 59082031250 386718750000 2475585937500 15551757812500 96130371093750 585937500000000
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),x) + 1)
A306666: 1 2 3 7 21
A323230: 1 2 3 7 21 71 253 925 3433 12871 48621 184757 705433 2704157 10400601 40116601
loop(\(x,i).(((((i * 2) + 1) * x) * ((2 + 2) + 1)) + (x * 2)),x,1)
A035276: 1 17 459 16983 798201 45497457 3048329619 234721380663 20420760117681 1980813731415057 211947069261411099 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((1 - x) div ((x mod (2 + 2)) + 1)) mod 2) + (x * 2)),x,1)
A172411: 1 2 5 10
A267515: 1 2 5 10 21 42 84 169 338 677 1354 2709 5418 10836 21673 43346
((if ((x mod (((2 - x) mod (2 + 2)) + 1)) - 1) <= 0 then (x mod 2) else x) + 1)
A100762: 1 2 1 4 1 2 1 8 9 2 1 12 1 2 1 16
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i mod (2 - (x mod 2)))),x,1)
A266071: 1 10 100 1001 10010 100101 1001010 10010101 100101010 1001010101 10010101010 100101010101 1001010101010 10010101010101 100101010101010 1001010101010101
loop(\(x,i).(x - (((1 - (((2 + 2) * 2) * 2)) * (x * x)) * 2)),x,1)
A176349: 1 31 28861 24988748491 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * (2 + 1)) + 1) * i) * i) + x) + 2),x,1)
A063493: 1 16 70 189 399 726 1196 1835 2669 3724 5026 6601 8475 10674 13224 16151
loop(\(x,i).(((((((2 + 2) * (2 + 1)) - 1) * i) * i) + x) + 2),x,1)
A063492: 1 14 60 161 339 616 1014 1555 2261 3154 4256 5589 7175 9036 11194 13671
loop(\(x,i).((((((i * 2) - 1) * x) * 2) * (2 + 1)) div (i + 2)),x,1)
A000168: 1 2 9 54 378 2916 24057 208494 1876446 17399772 165297834 1602117468 15792300756 157923007560 1598970451545 16365932856990
loop(\(x,i).(((((i * x) * (2 + 1)) + x) * (2 + 1)) div (i + 2)),x,1)
A185047: 1 4 21 126 819 5616 40014 293436 2200770 16805880 130245570 1021926780 8102419470 64819355760 522606055815 4242331511910
loop(\(x,i).(x - ((x div (i + 1)) - (((x * 2) * 2) div (i + 2)))),x,1)
A231408: 1 2 4 6 9
A001304: 1 2 4 6 9 13 18 24 31 39 49 60 73 87 103 121
((if (x mod ((2 + 1) * 2)) <= 0 then ((2 + 2) * (2 + 1)) else 0) div (x + 1))
A236238: 12 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
(loop(\(x,i).((((i * i) * (i + 1)) div 2) + x),(x + 1),0) * (x + 1))
A108650: 1 14 75 260 700 1596 3234 6000 10395 17050 26741 40404 59150 84280 117300 159936
(loop(\(x,i).(((i + 1) * x) - (((x mod 2) * 2) - 1)),x,0) * (x + 1))
A086325: 0 2 6 36 220 1590 12978 118664 1201464 13349610 161530270 2114578092 29780308116 448995414686 7215997736010 123153028027920
(loop(\(x,i).((((x + 1) * 2) - (x div (i + 1))) * 2),x,0) mod (x + 1))
A246130: 0 0 0 0 0 4 0 4 0 4 0 2 0 4 13 4
(loop(\(x,i).(((x * 2) * (2 + 1)) + ((i mod 2) * i)),x,0) + (x + 1))
A154606: 1 3 9 43 239
(((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 0) + 1) * (x + 1))
A275535: 3 6 3 12 5 6 7 24 9 10 11 12 13 14 15 48
(((if (x mod ((x div 2) + 2)) <= 0 then ((2 + 2) * 2) else 0) + 1) div (x + 1))
A223082: 9 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1) div (x + 1))
A066558: 9 49 333 2499 19999 166666 1428571 12499999 111111111 999999999 9090909090 83333333333 769230769230 7142857142857 66666666666666 624999999999999
(1 - ((loop(\(x,i).((i * i) * x),((x + 1) div 2),1) + 1) mod (x + 1)))
A267133: 1 1 ~1 0 1 0 ~1 0 0 0 ~1 0 1 0 0 0
((1 - (x mod ((x div (if (x mod 2) <= 0 then (2 + 2) else 1)) + 1))) div (x + 1))
A114591: 1 0 0 ~1 0 ~1 0 ~1 ~1 ~1 0 ~1 0 ~1 ~1 ~1
(((((if (2 - x) <= 0 then x else 0) + 2) mod ((2 + 2) + 1)) - 1) div (x + 1))
A185295: 1 0 1 ~1 0 0 0 0 ~1 0 0 0 0 ~1 0 0
(if (x - ((((x - 1) div 2) div 2) * ((2 + 2) + 1))) <= 0 then 1 else (x + 1))
A241479: 1 2 3 4 5 1 7 8 9 1 1 12 13 1 1 1
(loop(\(x,i).(i * x),x,(((2 - x) div ((2 + 2) + 1)) - 1)) mod (x + 1))
A062590: 0 1 1 0 2 0 2 0 0 0 3 0 3 0 0 0
(loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),(2 + 1),1) div (x + 1))
A033425: 10000000 5000000 3333333 2500000 2000000 1666666 1428571 1250000 1111111 1000000 909090 833333 769230 714285 666666 625000
(loop(\(x,i).(i * 2),((x + 1) mod ((2 + 2) * (2 + 1))),1) mod (x + 1))
A292994: 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8
(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * x),(2 + 1),1) div (x + 1))
A057069: 823543 411771 274514 205885 164708 137257 117649 102942 91504 82354 74867 68628 63349 58824 54902 51471
(((loop(\(x,i).((x + 1) * i),x,0) * ((x * 2) + 1)) + 1) div (x + 1))
A006373: 1 2 7 26 115 596
(((if (x - ((2 + 2) * (2 + 1))) <= 0 then (x mod 2) else 1) + 1) * (x + 1))
A082895: 1 4 3 8 5 12 7 16 9 20 11 24 13 28 30 32
((((if x <= 0 then 0 else (((2 + 2) * 2) + 1)) div (x + 1)) + 1) * (x + 1))
A317180-A187285: 1 10 12 12 10 12 14 16 18 10 11 12 13 14 15 16
(((loop(\(x,i).(x * x),2,((2 + 2) + 1)) * (x + 1)) + 1) * (x + 1))
A031728: 626 2502 5628 10004 15630 22506 30632 40008 50634 62510 75636 90012 105638 122514 140640 160016
(((loop(\(x,i).((x + 2) * (x + 2)),2,1) * (x + 1)) + 1) * (x + 1))
A173267-A031700: 122 486 1092 1940 3030 4362 5936 7752 9810 12110 14652 17436 20462 23730 27240 30992
(((loop(\(x,i).(x * x),2,((2 + 1) * 2)) * (x + 1)) + 1) * (x + 1))
A031750: 1297 5186 11667 20740 32405 46662 63511 82952 104985 129610 156827 186636 219037 254030 291615 331792
(((loop(\(x,i).((x * x) * (2 + 2)),2,2) * (x + 1)) + 1) * (x + 1))
A031742: 1025 4098 9219 16388 25605 36870 50183 65544 82953 102410 123915 147468 173069 200718 230415 262160
(((loop(\(x,i).((x + 2) * (x + 2)),2,2) * (x + 1)) + 1) * (x + 1))
A031714: 325 1298 2919 5188 8105 11670 15883 20744 26253 32410 39215 46668 54769 63518 72915 82960
(((loop(\(x,i).((i + x) * (x + 2)),2,2) * (x + 1)) + 1) * (x + 1))
A031706: 197 786 1767 3140 4905 7062 9611 12552 15885 19610 23727 28236 33137 38430 44115 50192
(((loop(\(x,i).((i + x) * (x + 2)),2,2) * (x + 1)) - 1) * (x + 1))
A158003: 195 782 1761 3132 4895 7050 9597 12536 15867 19590 23705 28212 33111 38402 44085 50160
(loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x + 1),1) mod (x + 1))
A116609: 0 1 1 1 3 1 6 1 1 9 2 1 0 1 7 1
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x + 1),1) mod (x + 1))
A066441: 0 1 2 1 1 1 4 1 8 1 0 1 11 9 11 1
(loop(\(x,i).i,((x - 2) mod ((x div ((2 + 2) + 1)) + 2)),1) mod (x + 1))
A225485: 0 1 1 1 1 1 1 2 1 1 1 1 2 3 1 3
((if (x mod (((x div (2 + 2)) + 1) * (2 + 1))) <= 0 then 2 else 1) * (x + 1))
A205374: 2 2 3 8 5 6 14 8 9 20 11 12 26 14 15 16
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then ((2 + 1) * 2) else 1) mod (x + 1))
A293901: 0 1 1 1 1 1 1 1 1 6 1 1 1 1 6 1
((loop(\(x,i).((x * x) div (i + 1)),2,((x + 1) * 2)) + 1) div (x + 1))
A184538: 2 11 36 85 166 288 457 682 972 1333 1774 2304 2929 3658 4500 5461
(loop(\(x,i).((i + 1) * x),(x * 2),(((x + 1) * 2) + 1)) div (x + 1))
A138896: 3 15 280 11340 798336 86486400 13343616000 2778808032000 750895681536000 255454710858547200 4611686018427387903 4611686018427387903 4611686018427387903
(((2 - ((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2)) + 1) * (x + 1))
A175029: 3 4 6 12 10 18 14 24 27 30 22 36 26 42 45 48
compr(\x.(x mod ((((if (x mod (2 + 2)) <= 0 then 0 else 2) * 2) * 2) + 1)),(x + 1))
A053443: 4 8 9 12 16 18 20 24 27 28 32 36 40 44 45 48
(1 - ((if ((x div ((x mod 2) + 2)) mod (2 + 2)) <= 0 then 2 else 1) mod (x + 1)))
A204220: 1 1 0 0 0 0 0 0 ~1 0 0 0 0 ~1 0 0
loop(\(x,i).(0 - x),x,(1 - (((x mod ((2 + 2) * 2)) + 1) mod (x + 1))))
A323633: 1 ~1 1 ~1 1 ~1 1 ~1 0 1 ~2 3 ~4 5 ~6 7
((if (x mod (((2 + 2) * 2) - ((x div 2) mod 2))) <= 0 then 2 else 1) * (x + 1))
A141286: 2 2 3 4 5 6 7 16 18 10 11 12 13 14 30 16
(loop(\(x,i).(((x * x) * x) * (x * x)),1,((2 + 2) + 1)) div (x + 1))
A057067: 3125 1562 1041 781 625 520 446 390 347 312 284 260 240 223 208 195
(loop(\(x,i).(((x * x) * x) * (x * x)),1,((2 + 2) + 1)) mod (x + 1))
A245972: 0 1 2 1 0 5 3 5 2 5 1 5 5 3 5 5
(loop(\(x,i).(((x * x) * (x div 2)) * 2),2,((2 + 2) + 1)) div (x + 1))
A033426: 1000000 500000 333333 250000 200000 166666 142857 125000 111111 100000 90909 83333 76923 71428 66666 62500
loop(\(x,i).((x * 2) + 1),(x + 1),((((x + 2) + 2) + 1) * (x + 1)))
A107464: 11 51 175 527 1471 3903 9983 24831 60415 144383 339967 790527 1818623 4145151 9371647 21037055
(loop(\(x,i).(i * x),x,(((1 - x) div ((x div 2) + 2)) - 1)) mod (x + 1))
A029832: 0 1 2 0 2 0 2 0 0 0 3 0 3 0 0 0
(loop(\(x,i).(x * x),1,((((x - 1) * x) - 1) div (2 + 1))) mod (x + 1))
A226787: 0 1 0 1 4 0 4 1 0 9 5 0 3 11 0 9
(loop(\(x,i).(x * x),2,((x div ((2 + 2) * 2)) * (2 + 1))) + (x + 1))
A109752: 1 2 3 4 5 6 7 8 90
A028430: 1 2 3 4 5 6 7 8 90 91 92 93 94 95 96 97
(((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2) * (2 + 1)) div (x + 1))
A003176: 24 36 56 90 148 252 435 765 1362 2455 4466 8190 15121 28085 52427 98302
((loop(\(x,i).(i - (((x div (2 + 1)) - x) * 2)),x,2) - 1) div (x + 1))
A076970: 1 2 3 4 5 7 9 11 14 18 23 29 37 47 59 75
(loop(\(x,i).(((((i div 2) * 2) + 1) * x) * 2),(x * 2),1) div (x + 1))
A052510: 1 6 240 25200 5080320 1676505600 821966745600 560992303872000 508633022177280000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + x) - ((2 - x) div ((2 + 2) + 1))),x,1) div (x + 1))
A008674: 1 1 1 2 2 3 4 5 6 8 10 11 14 16 19 23
((((loop(\(x,i).(x * x),((2 - x) * 2),2) + 1) * x) + 1) * (x + 1))
A074155: 1 36 21 40 65 96 133 176 225 280 341 408 481 560 645 736
(loop(\(x,i).((i + x) - (x div (((i * 2) * 2) + 1))),x,1) - (x + 1))
A033440: 0 0 1 3 6 10 15 21 28 35 43 52 62 73 85 98
(loop(\(x,i).((x - (i div (0 - 2))) + (x div (2 + 1))),x,1) div (x + 1))
A129528: 1 1 1 1 2 2 3 4 5 7 9 11 15 19 24 30
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) mod (x + 1))
A099905: 0 1 1 3 1 0 1 3 1 8 1 2 1 10 0 3
(loop(\(x,i).(((((x div 2) div (2 + 1)) * 2) + x) + 1),x,1) div (x + 1))
A146930: 1 1 1 1 1 1 1 1 1 2 2 3 3 4 6 7
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1) * (x + 1))
A164931: 1 4 9 20 35 66 91 136 171 230 319 372 481 574 645 752
(((loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) + x) - 1) * (x + 1))
A158307: 359 1440 3243 5768 9015 12984 17675 23088 29223 36080 43659 51960 60983 70728 81195 92384
((loop(\(x,i).(((2 + 1) * x) + 2),((2 + 1) * 2),x) - 1) * (x + 1))
A158394: 727 2912 6555 11656 18215 26232 35707 46640 59031 72880 88187 104952 123175 142856 163995 186592
(loop(\(x,i).(x - (x mod ((i * 2) + 1))),(2 + 1),(x + 1)) + (x + 1))
A032980: 1 2 3 4 5 6 7 8 9 10 11 19 20 21 29 30
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x + 1),(x + 1))
A000917: 3 20 105 504 2310 10296 45045 194480 831402 3527160 14872858 62403600 260757900 1085822640 4508102925 18668849760
((x - (loop(\(x,i).(1 - (x * x)),2,(2 + 2)) * (x + 1))) * (x + 1))
A156813: 224 898 2022 3596 5620 8094 11018 14392 18216 22490 27214 32388 38012 44086 50610 57584
((x - (loop(\(x,i).((i - x) * x),2,(2 + 2)) * (x + 1))) * (x + 1))
A157998: 168 674 1518 2700 4220 6078 8274 10808 13680 16890 20438 24324 28548 33110 38010 43248
loop(\(x,i).(((x * x) * x) div 2),1,(((2 + 2) * (x + 1)) * (x + 1)))
A291826: 32 2048 23328 131072 500000 1492992 3764768 8388608 17006112 32000000 56689952 95551488 154457888 240945152 364500000 536870912
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),(x + 1))
A097070: 1 2 9 40 175 756 3234 13728 57915 243100 1016158 4232592 17577014 72804200 300874500 1240940160
((((x * 2) - loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) + 1) * (x + 1))
A091519: 1 6 9 28 25 54 49 120 81 150 121 252 169 294 225 496
(loop(\(x,i).((((2 + 2) * (2 + 1)) mod (i + 1)) + x),x,1) div (x + 1))
A017853: 1 0 0 0 0 0 1 1 1 1 1 1 2 3 3 4
((if (x - 2) <= 0 then 1 else (((x * x) * x) * ((x * x) + 1))) * (x + 1))
A228127: 1 2 3 1080
((((loop(\(x,i).((x * x) * x),2,2) * (x + 1)) - 1) * 2) * (x + 1))
A158420: 1022 4092 9210 16376 25590 36852 50162 65520 82926 102380 123882 147432 173030 200676 230370 262112
((if ((x mod (((x mod (2 + 1)) * 2) + 1)) - 2) <= 0 then 1 else 2) * (x + 1))
A066759: 1 2 3 4 5 6 7 8 18 10 11 12 13 14 30 16
(((x mod 2) - ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) * 2)) mod (x + 1))
A033558: 0 1 1 3 3 5 3 5 7 9 9 11 9 11 13 15
(loop(\(x,i).((x + 1) * x),(2 + 2),(((2 + 2) + 1) * 2)) mod (x + 1))
A173956: 0 0 0 2 0 0 0 2 6 0 0 6 0 0 0 10
((if (x - 1) <= 0 then x else ((((x div 2) * 2) div (2 + 1)) + 2)) * (x + 1))
A128913: 0 2 6 8 15 18 28 32 36 40 55 60 78 84 90 96
(loop(\(x,i).((x * x) + (x div 2)),(2 + 1),((2 + 1) * 2)) mod (x + 1))
A345940-A076998: 0 0 0 2 0 0 0 2 6 0 0 6 0 0 0 2
(((if (x mod 2) <= 0 then 2 else ((x + 2) * x)) mod ((2 + 1) * 2)) * (x + 1))
A087560: 2 6 6 12 10 30 14 24 18 30 22 60 26 42 30 48
(((loop(\(x,i).(x * x),2,((2 + 2) + 1)) * (x + 1)) + 2) * (x + 1))
A158382-A031703: 627 2504 5631 10008 15635 22512 30639 40016 50643 62520 75647 90024 105651 122528 140655 160032
(((loop(\(x,i).(x * x),2,((2 + 2) + 1)) * (x + 1)) - 2) * (x + 1))
A158373: 623 2496 5619 9992 15615 22488 30611 39984 50607 62480 75603 89976 105599 122472 140595 159968
(((loop(\(x,i).((x + 2) * (x + 2)),2,1) * (x + 1)) + 2) * (x + 1))
A181679: 123 488 1095 1944 3035 4368 5943 7760 9819 12120 14663 17448 20475 23744 27255 31008
(((loop(\(x,i).((x + 2) * (x + 2)),2,1) * (x + 1)) - 2) * (x + 1))
A157040: 119 480 1083 1928 3015 4344 5915 7728 9783 12080 14619 17400 20423 23688 27195 30944
(((loop(\(x,i).(x * x),(2 + 1),(2 + 1)) * (x + 1)) + 2) * (x + 1))
A031759: 6563 26248 59055 104984 164035 236208 321503 419920 531459 656120 793903 944808 1108835 1285984 1476255 1679648
((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) + 2) * (x + 1))
A158132: 146 580 1302 2312 3610 5196 7070 9232 11682 14420 17446 20760 24362 28252 32430 36896
((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) - 2) * (x + 1))
A158135: 142 572 1290 2296 3590 5172 7042 9200 11646 14380 17402 20712 24310 28196 32370 36832
((loop(\(x,i).((2 + 1) * x),((2 + 1) * 2),(x + 1)) + 2) * (x + 1))
A158396-A031705: 731 2920 6567 11672 18235 26256 35735 46672 59067 72920 88231 105000 123227 142912 164055 186656
((loop(\(x,i).(x * x),2,(((x + 1) * 2) * (x + 1))) * 2) div (x + 1))
A291829: 32 4096 69984 524288 2500000 8957952 26353376 67108864 153055008 320000000 623589472 1146617856 2007952544 3373232128 5467500000 8589934592
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x + 1),2) div (x + 1))
A024499: 6 10 23 63 184 572 1838 6077 20528 70543 245832 866716 3085892 11079822 40072026 145850388
(((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) + 2) * (x + 1))
A158127: 102 404 906 1608 2510 3612 4914 6416 8118 10020 12122 14424 16926 19628 22530 25632
(((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) - 2) * (x + 1))
A158129: 98 396 894 1592 2490 3588 4886 6384 8082 9980 12078 14376 16874 19572 22470 25568
(((loop(\(x,i).((x + 2) * (x + 2)),2,2) * (x + 1)) + 2) * (x + 1))
A158271: 326 1300 2922 5192 8110 11676 15890 20752 26262 32420 39226 46680 54782 63532 72930 82976
(((loop(\(x,i).((x + 2) * (x + 2)),2,2) * (x + 1)) - 2) * (x + 1))
A158305: 322 1292 2910 5176 8090 11652 15862 20720 26226 32380 39182 46632 54730 63476 72870 82912
(((loop(\(x,i).((i + x) * (x + 2)),2,2) * (x + 1)) + 2) * (x + 1))
A158222: 198 788 1770 3144 4910 7068 9618 12560 15894 19620 23738 28248 33150 38444 44130 50208
(((loop(\(x,i).((i + x) * (x + 2)),2,2) * (x + 1)) - 2) * (x + 1))
A158224: 194 780 1758 3128 4890 7044 9590 12528 15858 19580 23694 28200 33098 38388 44070 50144
((x * x) - (loop(\(x,i).((1 - x) * x),2,((x + 1) * 2)) div (x + 1)))
A093033: 6 79 314 807 1654 2951 4794 7279 10502 14559 19546 25559 32694 41047 50714 61791
(x - ((((x div 2) + x) div (2 + 2)) - ((if x <= 0 then 1 else 2) * (x + 1))))
A022413: 1 5 8 10 13 16 18 21 23 26 29 31 34 37 39 42
(((((x div 2) + x) div (2 + 2)) + x) + ((if x <= 0 then 1 else 2) * (x + 1)))
A108173: 1 5 8 12 15 18 22 25 29 32 35 39 42 45 49 52
((((((2 + 2) * 2) * (x + 1)) + (if x <= 0 then 1 else 2)) * 2) - (x + 1))
A013577: 17 34 49 64 79
(((loop(\(x,i).((x - i) * x),2,((x + 2) + 2)) div 2) div 2) * (x + 1))
A054559: 30 180 630 1680 3780 7560 13860 23760 38610 60060 90090 131040 185640 257040 348840 465120
(loop(\(x,i).(((x * 2) + 1) * ((x + 2) + 1)),(2 + 2),2) mod (x + 1))
A336563: 0 0 0 2 0 0 0 6 3 0 0 6 0 0 0 14
(loop(\(x,i).(1 - x),x,(x div (((2 - x) div (2 + 2)) - 2))) + (x + 1))
A097467: 1 4 2 6 3 9 5 11 7 14 8 16 10 18 12 20
(((loop(\(x,i).(((i + 2) * i) * (x + 2)),x,2) * 2) - 2) div (x + 1))
A309146: 2 11 74 854
((if ((x mod ((x mod (2 + 1)) + 2)) div 2) <= 0 then 1 else (2 + 2)) mod (x + 1))
A333807: 0 1 1 1 1 1 1 1 1 1 1 4 1 1 4 1
loop(\(x,i).(((x * x) - 1) * ((x + 2) + 1)),1,((2 + 2) * (x + 1)))
A133767: 105 693 2145 4845 9177 15525 24273 35805 50505 68757 90945 117453 148665 184965 226737 274365
((if ((x - 1) mod (2 + 1)) <= 0 then (x * 2) else 1) + ((2 + 2) * (x + 1)))
A282740: 5 10 13 17 28
(loop(\(x,i).((2 + 1) * x),(x - (2 + 2)),2) + ((2 + 2) * (x + 1)))
A243709: 6 10 14 18 22 30 46
loop(\(x,i).(((((x + 1) div 2) div 2) div 2) + x),2,((2 + 2) * (x + 1)))
A190346: 4 10 14 20 24 30 35 40 45 50 55 60 65 71 75 81
(loop(\(x,i).(((x * x) + (2 + 1)) * x),2,(x div (2 + 2))) + (x + 1))
A173573: 1 2 3 4 81 82 83 84
((loop(\(x,i).((i + 1) * x),x,(((2 + 1) * x) + 2)) div 2) * (x + 1))
A138782: 1 10 72 528 4200 36720 352800 3709440 42456960 526176000 7025356800 100590336000 1538074137600 25020169574400 431532541440000 7866968997888000
compr(\x.((loop(\(x,i).(x div (2 - (x mod 2))),x,(1 - x)) div 2) mod 2),(x + 1))
A060833: 1 4 7 8 12 13 15 16 20 23 24 25 28 29 31 32
(loop(\(x,i).(x * 2),x,1) div (((((x - 1) * x) div 2) + 2) * (x + 1)))
A326471: 0 0 0 0 0 0 0 0 0 1 1 2 4 7 11 19
((if x <= 0 then 2 else ((((x + 2) * 2) + x) * ((x + 2) + 2))) div (x + 1))
A075683: 2 17 20 22 25 28 31 34 37 40
loop(\(x,i).(((((x div (2 + 2)) + x) + 1) div 2) + (x * 2)),2,(x + 1))
A101642: 8 13 21 29 34 42 47 55 63 68 76 84 89 97 102 110
((if x <= 0 then 1 else ((((x * 2) * 2) * 2) + ((x div 2) - 2))) div (x + 1))
A029912: 1 3 5 5 6 6 7 7 7 7 7 7 7 7 7 7
(loop(\(x,i).((x - ((1 - x) div (2 + 1))) + (2 + 1)),x,2) div (x + 1))
A177876: 2 3 3 4
A182229: 2 3 3 4 5 6 7 9 11 14 17 21 26 33 41 52
((((if (x - 1) <= 0 then 2 else ((x - 1) * (2 + 1))) + x) * 2) * (x + 1))
A221855: 4 12 30 72 130 204 294 400 522 660 814 984 1170 1372 1590 1824
((compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) + 2) mod (x + 1))
A096197: 0 0 0 0 2 2 4 4 6 0 10 2 3 2 3 6
(((loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) + x) + 2) * (x + 1))
A031716: 362 1446 3252 5780 9030 13002 17696 23112 29250 36110 43692 51996 61022 70770 81240 92432
((((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) + x) * 2) div (x + 1))
A294901: 0 1 1 2 1 3 1 2 2 3 1 3 1 3 3 2
(2 - ((1 - (loop(\(x,i).((x + 1) * x),(x - 1),x) * 2)) * (x + 1)))
A005026: 1 4 35 1246
(((if (x mod 2) <= 0 then x else ((((2 + 1) * x) + 2) * x)) * 2) div (x + 1))
A019429: 0 5 1 16 1 28 1 40 1 52 1 64 1 76 1 88
((((loop(\(x,i).(x * x),2,(x + 1)) * (x + 2)) * x) div 2) * (x + 1))
A292045: 0 48 972 7680 37500 136080 403368 1032192 2361960 4950000 9663060 17791488 31188612 52437840 85050000 133693440
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (x + 1))
A033286: 2 6 15 28 55 78 119 152 207 290 341 444 533 602 705 848
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (x + 1))
A004648: 0 1 2 3 1 1 3 3 5 9 9 1 2 1 2 5
((compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 2) mod (x + 1))
A004649: 0 1 1 3 3 5 5 7 2 1 4 5 4 5 8 11
(loop(\(x,i).((x * 2) * 2),(x + 1),(((x + 2) * x) + 2)) * (x + 1))
A127369: 8 160 1920 17408 133120 909312 5734400 34078720 193462272 1059061760 5628755968 29192355840 148310589440 740344987648 3639984783360 17660905521152
(loop(\(x,i).((2 + 1) * x),(x + 1),(((x + 2) * x) + 2)) * (x + 1))
A121607: 6 90 810 5508 31590 161838 765450 3411720 14526054 59639490 237731274 924707340 3523453830 13191428502 48642794730 177008116752
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),x) * ((x + 2) * (x + 1)))
A128964: 0 216 5184 77760 933120 9797760 94058496 846526464 7255941120 59861514240 478892113920 3735358488576 28524555730944 213934167982080 1579821548175360 11510128422420480
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),x) * ((x + 2) * (x + 1)))
A128967: 0 384 12288 245760 3932160 55050240 704643072 8455716864 96636764160 1063004405760 11338713661440 117922622078976 1200666697531392 12006666975313920 118219490218475520 1148417904979476480
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),x) * ((x + 2) * (x + 1)))
A128963: 0 150 3000 37500 375000 3281250 26250000 196875000 1406250000 9667968750 64453125000 418945312500 2666015625000 16662597656250 102539062500000 622558593750000
(loop(\(x,i).((2 + 1) * x),((x + 1) * 2),x) * ((x + 2) * (x + 1)))
A128969: 0 486 17496 393660 7085880 111602610 1607077584 21695547384 278942752080 3451916556990 41422998683880 484649084601396 5551434969070536 62453643402043530 691794203838020640
compr(\x.(loop(\(x,i).(((x mod 2) * x) + (x div 2)),x,x) - (x mod 2)),(x + 1))
A039503: 1 3 11 15 29 39 43 53 57 59 65 69 71 77 79 85
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),1) + x) div (x + 1))
A129791: 7 25 115 601 3362 19609 117649 720601 4483735 28247525 179756977 1153440601 7453000801 48444505204 316504100663 2077058160601
loop(\(x,i).(((((i + 1) * 2) + 1) * x) * ((i * 2) - 1)),x,(x + 1))
A291561: 1 10 315 18900 1819125 255405150 49165491375 12417798393000 3981456609755625 1579311121869731250 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) mod (x + 1)))
A068901: 0 1 1 1 4 5 4 5 4 1 2 11 11 13 13 11
(((loop(\(x,i).((x * x) + 1),(2 + 1),2) * (x + 1)) - x) * (x + 1))
A031730: 677 2706 6087 10820 16905 24342 33131 43272 54765 67610 81807 97356 114257 132510 152115 173072
(((loop(\(x,i).(((x * x) * x) + 1),2,2) * (x + 1)) - x) * (x + 1))
A031732: 730 2918 6564 11668 18230 26250 35728 46664 59058 72910 88220 104988 123214 142898 164040 186640
(((loop(\(x,i).((x * x) + 1),2,(2 + 2)) * (x + 1)) - x) * (x + 1))
A031712: 290 1158 2604 4628 7230 10410 14168 18504 23418 28910 34980 41628 48854 56658 65040 74000
(loop(\(x,i).(x - ((x * 2) div (((2 + 1) * 2) + 1))),2,x) + (x + 1))
A299542: 1 3 5 7 8 9 11 12 14 15 17 18 20 22 23 24
(loop(\(x,i).((((x div 2) * x) div 2) div ((2 + 2) + 1)),2,x) + (x + 1))
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A093668-A026501-A000926: 1 2 3 4 5 6 7 8 9 10 12 13 15 16 18 21
(loop(\(x,i).(x - ((x - ((i * x) div (2 + 1))) div 2)),2,x) + (x + 1))
A182829: 1 3 4 6 8 9 10 12 13 15 17 18 20 22 23 24
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2),x,(x + 1))
A245391: 1 8 60 448 3360 25344 192192 1464320 11202048 85995520 662165504 5112102912 39557939200 306726174720 2382605107200 18537602088960
(((2 + 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A059159: 4 8 4 16 4 8 4 32 4 8 4 16 4 8 4 64
((if (x mod (2 + 1)) <= 0 then ((2 + 2) * 2) else ((x mod 2) - x)) + (x + 1))
A239908: 9 2 1 12 1 2
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) + x) * (i + 2)),x,(x + 1))
A062141: 1 18 252 3360 45360 635040 9313920 143700480 2335132800 39956716800 719220902400 13599813427200 269729632972800 5602076992512000 121645100408832000 2757288942600192000
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) div (i + 1)) - x),x,(x + 1))
A010926: 1 10 45 120 210 252 210 120 45 10 1
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) div (i + 1)) + x),x,(x + 1))
A010970: 1 18 171 1140 5985 26334 100947 346104 1081575 3124550 8436285 21474180 51895935 119759850 265182525 565722720
((loop(\(x,i).(1 - (((x mod 2) * x) + (x div 2))),2,x) + x) div (x + 1))
A340853: 0 1 1 2 1 1 1 2 1 1 1 2 1 1 1 3
((if ((x + 1) mod ((x mod ((2 + 2) + 1)) + 2)) <= 0 then 2 else 0) * (x - 1))
A189764: 0 0 0 0 0 8 0 12 0 0 0 20 0 0 0 28
(loop(\(x,i).((i + x) - (x div ((2 + 2) + 1))),(x - 1),1) + (x - 1))
A130246: 0 1 3 6 10 14 18 23 28 33 38 44 50 56 62 68
loop(\(x,i).(((x - 1) * x) div ((((i * 2) - 1) * i) + 1)),2,(x - 1))
A011938: 0 0 0 0 0 4 12 30 60 108 180 282 424 612 858 1170
((((loop(\(x,i).((2 + 1) * x),(x - 2),x) + x) div 2) div 2) * (x - 1))
A082149: 0 0 1 6 30 140 615 2562 10220 39384 147645 541310 1948650 6908772 24180611 83702010
((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x - 2),x) div 2) * (x - 1))
A081142: 0 0 1 36 864 17280 311040 5225472 83607552 1289945088 19349176320 283787919360 4086546038784 57954652913664 811365140791296 11234286564802560
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x - 2),x) div 2) * (x - 1))
A081140: 0 0 1 30 600 10000 150000 2100000 28000000 360000000 4500000000 55000000000 660000000000 7800000000000 91000000000000 1050000000000000
((if (((x div 2) - 2) - 2) <= 0 then (((2 + 2) + 1) * 2) else x) + (x - 1))
A317591: 9 10 11 12 13 14 15 16 17 18 19 21 23 25 27 29
((x + 1) div (loop(\(x,i).((((x + 1) div 2) mod (2 + 1)) + 1),x,x) + 1))
A227911: 1 0 1 1 1 2 2 2 3 2 2 4 4 4 5 4
loop(\(x,i).((((((2 mod (x + 1)) + 2) + 2) * (2 + 1)) + 1) * x),x,1)
A196665: 1 13 247 4693 89167 1694173 32189287 611596453 11620332607 220786319533 4194940071127 79703861351413 1514373365676847 28773093947860093 546688785009341767 4611686018427387903
loop(\(x,i).((((((i + 1) * x) mod ((2 + 2) + 1)) mod 2) + 1) + x),x,1)
A288258: 1 2 4 6 7 8 10 11 12 13 15 16 18 19 20 21
loop(\(x,i).(((((i * i) + 1) * i) * (((2 + 1) * 2) + 1)) + x),x,1)
A160747: 1 15 85 295 771 1681 3235 5685 9325 14491 21561 30955 43135 58605 77911 101641
loop(\(x,i).(((((x * 2) * 2) - ((i mod (2 + 1)) div 2)) + 1) + x),x,1)
A033132: 1 6 30 151 756 3780 18901 94506 472530 2362651 11813256 59066280 295331401 1476657006 7383285030 36916425151
(loop(\(x,i).(x div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)),x,x) + 1)
A140215-A065330: 1 1 1 1 5 1 7 1 1 5 11 1 13 7 5 1
((((loop(\(x,i).((((x * x) - 2) * x) * 2),2,2) - 1) * x) * x) + 1)
A237991: 1 992 3965 8920 15857 24776 35677 48560 63425 80272 99101 119912 142705 167480 194237 222976
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - (x mod (2 + 1))) * x),x,1)
A170742-A170704-A170656-A170608-A170560-A170512-A170464-A170416-A170368-A170320-A170272-A170224-A170176-A170128-A170080-A170032-A169564-A169516-A169468-A169420-A169372-A169324-A169276-A169228-A169180-A169132-A169084-A169036-A168988-A168940-A168892-A168844-A168796-A168748-A168700-A167937-A167694-A167174: 1 23 506 11132 244904 5387888 118533536 2607737792 57370231424 1262145091328 27767192009216 610878224202752 13439320932460544 295665060514131968 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i + 2) * (i + 1)) div 2) * ((i * 2) + 1)) + x),x,1)
A002419: 1 10 40 110 245 476 840 1380 2145 3190 4576 6370 8645 11480 14960 19176
((loop(\(x,i).(x - ((x - 1) div (((x div 2) + 2) + 1))),2,x) + x) + 1)
A066935: 2 3 5 7 9 11 13 14 15 17 19 21 23 25 27 29
loop(\(x,i).((((((2 + 1) * i) * (i + 1)) * (2 + 1)) + 2) * x),x,1)
A091535: 1 20 1120 123200 22422400 6098892800 2317579264000 1172695107584000 762251819929600000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((1 - ((((1 - ((i mod 2) * 2)) * i) div 2) * 2)) * x),x,1)
A046126: 1 3 ~3 ~15 45 315 ~1575 ~14175 99225 1091475 ~9823275 ~127702575 1404728325 21070924875 ~273922023375 ~4656674397375
loop(\(x,i).((x * 2) - (((((i mod 2) * 2) - 1) * (i + 2)) - x)),x,1)
A076148: 1 0 4 7 27 74 230 681 2053 6148 18456 55355 166079 498222 1494682 4484029
loop(\(x,i).(((((x * 2) * 2) * ((i * 2) + 1)) div (i + 2)) + x),x,1)
A034164: 1 5 30 198 1386 10098 75735 580635 4528953 35819901 286559208 2314516680 18846778680 154543585176 1274984577702 10574872085646
(loop(\(x,i).((((x * 2) * 2) * ((2 + 2) + 1)) + 1),2,(x * x)) - 1)
A158601: 20 420 1620 3620 6420 10020 14420 19620 25620 32420 40020 48420 57620 67620 78420 90020
(loop(\(x,i).((((2 + 1) * x) * ((2 + 2) + 1)) + 1),2,(x * x)) - 1)
A158557: 15 240 915 2040 3615 5640 8115 11040 14415 18240 22515 27240 32415 38040 44115 50640
(loop(\(x,i).((((x * 2) * (2 + 1)) * (2 + 1)) + 1),2,(x * x)) - 1)
A158590: 18 342 1314 2934 5202 8118 11682 15894 20754 26262 32418 39222 46674 54774 63522 72918
(loop(\(x,i).(((((x * 2) * 2) * 2) * (2 + 1)) + 1),2,(x * x)) - 1)
A158637: 24 600 2328 5208 9240 14424 20760 28248 36888 46680 57624 69720 82968 97368 112920 129624
(loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) + 1)),2,(x * x)) + 1)
A158536: 11 132 495 1100 1947 3036 4367 5940 7755 9812 12111 14652 17435 20460 23727 27236
(loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * 2) + 1),2,(x * x)) - 1)
A158685: 32 1056 4128 9248 16416 25632 36896 50208 65568 82976 102432 123936 147488 173088 200736 230432
(loop(\(x,i).(((x - (((x * 2) * 2) * 2)) * 2) - 1),2,(x * x)) + 1)
A158555: 14 210 798 1778 3150 4914 7070 9618 12558 15890 19614 23730 28238 33138 38430 44114
(loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) + 1),2,(x * x)) - 1)
A158548: 13 182 689 1534 2717 4238 6097 8294 10829 13702 16913 20462 24349 28574 33137 38038
(loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * x) + 1),2,(x * x)) - 1)
A158585: 17 306 1173 2618 4641 7242 10421 14178 18513 23426 28917 34986 41633 48858 56661 65042
(loop(\(x,i).(((i + x) - 1) * x),2,((x * x) * x)) * ((x * x) - 1))
A033669: 0 0 12480 4257360 251719680 5859750000 76189014720 664387432800 4329343549440 22594405433760 99000099000000 376611617793840 1275002791096320 3914079111480720 11055314381442240 29063182239000000
((loop(\(x,i).(x - ((x * 2) div (((i * 2) * 2) + 1))),x,x) + x) + 1)
A336410: 1 3 5 6 8 9 11 12 13 15 16 18 19 20 21 22
(x - (((x div (2 + 1)) - (if (((x div 2) - 2) - 2) <= 0 then 1 else 0)) * 2))
A216197: 2 3 4 3 4 5 4 5 6 5 4 5 4 5 6 5
(loop(\(x,i).(((((i * i) + 2) * (i + 1)) div 2) + x),(x + 1),0) + 2)
A211562: 5 14 36 81 162 295 499 796 1211 1772 2510 3459 4656 6141 7957 10150
(loop(\(x,i).((((((i * 2) - 1) * i) + 1) * i) + x),(x + 1),0) div 2)
A132117: 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816
(loop(\(x,i).(((((i + 2) + 1) * i) * (i - 1)) + x),(x - 1),0) * 2)
A172200: 0 0 0 20 92 260 580 1120 1960 3192 4920 7260 10340 14300 19292 25480
((if (((x + 2) + 1) mod ((x div ((2 + 2) + 1)) + 2)) <= 0 then 2 else 0) + 2)
A336409: 2 4 2 4 2 2 4 2 2 4 2 2 2 4 2 2
(loop(\(x,i).((i + 1) * x),x,((x div 2) + 1)) * (2 - (x div (0 - 2))))
A152668: 2 6 36 192 1440 10800 100800 967680 10886400 127008000 1676505600 22992076800 348713164800 5492232345600 94152554496000 1673823191040000
(loop(\(x,i).((x - ((((x mod 2) - x) * 2) - 1)) * (2 + 1)),x,0) * 2)
A231104: 0 6 48 438 3936 35430 318864 2869782 25828032 232452294 2092070640 18828635766 169457721888 1525119496998 13726075472976 123534679256790
(loop(\(x,i).(((((((x * x) * 2) - 1) * x) * x) * 2) + 1),x,0) + 2)
A303371: 2 3 5 309
((x - (if (x mod ((((1 - x) mod (2 + 2)) * 2) + 1)) <= 0 then 0 else 1)) mod 2)
A155897: 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1
((loop(\(x,i).((x + 1) mod ((i div (2 + 1)) + 2)),(x - 1),0) + 1) * 2)
A331118: 2 2 4 2 4 6 2 4 6 8 10 2 4 6 8 10
(((if ((x + 2) mod (((x div (2 + 1)) + 2) + 2)) <= 0 then 2 else 0) + 1) * 2)
A286540: 2 2 6 6 2 2 2 2 2 2 2 2 2 2 6 2
(x mod (((if (((x + 1) * x) mod ((2 + 2) + 1)) <= 0 then x else 0) - 1) div 2))
A287299: 0 0 0 0 0 1 0 0 0 1 2 0 0 0 2 1
((loop(\(x,i).(((x * 2) + 1) mod (((i div 2) + 2) * 2)),x,0) + 1) div 2)
A201908: 0 1 2 1 2 4 3 1 2 4 1 2 4 8 7 5
((if (x - 1) <= 0 then 2 else (((x - 1) mod ((x div (2 + 1)) + 1)) + 1)) div 2)
A112224: 1 1 0 0 1 0 1 0 1 0 1 1 1 1 2 1
(((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1) div 2)
A048105: 0 0 0 1 0 0 0 2 1 0 0 2 0 0 0 3
(if ((x + 1) mod ((((x * 2) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2)
A095684: 1 1 1 1 2 1 1 1 1 1 2 1 2 2 1 2
(if ((x div 2) mod (((x mod ((x div (2 + 1)) + 1)) * 2) + 1)) <= 0 then 1 else 2)
A093921: 1 1 1 2 1 2 1 1 2 2 1 2 2 2 2 1
(((loop(\(x,i).(x * 2),x,2) div ((((2 + 2) * 2) * 2) + 1)) + 1) div 2)
A191497: 0 0 0 0 1 2 4 8 15 30 60 120 241 482 964 1928
(((x mod 2) + 2) div (if ((x - 1) mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 2))
A030576: 1 3 1 1 1 1 1 1 1 1 2 1 1 1 1 1
(((if (x mod 2) <= 0 then (((x + 2) div (2 + 1)) mod (2 + 2)) else 1) + 1) div 2)
A098055: 0 1 1 1 1 1 1 1 2 1 0 1 0 1 1 1
(if x <= 0 then 1 else (((((x * x) * (2 + 1)) * ((2 + 2) + 1)) + 1) * 2))
A005903: 1 32 122 272 482 752 1082 1472 1922 2432 3002 3632 4322 5072 5882 6752
((((if ((x div 2) - 2) <= 0 then x else (x + 1)) mod ((2 + 2) + 1)) + 1) mod 2)
A156728: 1 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0
((x - (if x <= 0 then 1 else (x div (((x - 1) mod ((2 + 2) + 1)) + 1)))) mod 2)
A285136: 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 0
((((((x + 2) + 2) + (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) - 1) * 2)
A100409: 48 68 78 88 98
(if x <= 0 then 1 else (((((x * x) * (2 + 2)) * ((2 + 2) + 1)) + 1) * 2))
A010022: 1 42 162 362 642 1002 1442 1962 2562 3242 4002 4842 5762 6762 7842 9002
((if x <= 0 then 1 else ((x * 2) mod (((x div 2) mod ((2 + 2) + 1)) + 1))) mod 2)
A027359: 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0
((((if (x mod 2) <= 0 then (x div 2) else 2) + (x div ((2 + 2) + 1))) + 1) div 2)
A256587: 0 1 1 1 1 2 2 2 3 2 4 2 4 2 5 3
((if x <= 0 then 2 else ((((x + 2) + 1) mod ((x div (2 + 2)) + 1)) + 1)) div 2)
A025866: 1 0 0 0 1 0 1 0 1 0 1 1 2 0 1 1
(if ((x * 2) mod ((((((x div 2) mod 2) + x) div 2) + 2) + 1)) <= 0 then 1 else 2)
A081592: 1 2 1 2 2 1 1 1 2 2 2 2 2 2 2 2
(if x <= 0 then 1 else (((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1) * 2))
A184334: 1 2 2 0 ~2 ~2 0 2 2 0 ~2 ~2 0 2 2 0
(if x <= 0 then 1 else ((((x + 2) * x) mod (((x + 1) div (2 + 1)) + 1)) div 2))
A341021: 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1
((loop(\(x,i).(x * 2),x,2) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) div 2)
A222011: 1 2 4 8
A254065: 1 2 4 8 6 3 7 4 9 8 7 5 1 3 6 2
loop(\(x,i).((x * x) * x),1,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017643: 1000 10648 39304 97336 195112 343000 551368 830584 1191016 1643032 2197000 2863288 3652264 4574296 5639752 6859000
loop(\(x,i).((x * x) * x),2,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017649: 1000000000 1207269217792 60716992766464 922190162669056 7427658739644928 40353607000000000 167619550409708032 572994802228616704 1689478959002692096 4435453859151328768
(((((loop(\(x,i).(x * 2),(x + 2),2) + 2) * 2) * (2 + 1)) + 1) * 2)
A304605: 122 218 410 794 1562 3098 6170 12314 24602 49178 98330 196634 393242 786458 1572890 3145754
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) * 2) * (2 + 1)) - 1)) div 2)
A120139: 11 17 25 38 57 85 128 192 288 432 648 972 1458 2187 3280 4920
(if ((x mod (((2 - (x div 2)) mod (x + 2)) + 2)) mod (2 + 1)) <= 0 then 1 else 2)
A074295: 1 2 2 1 1 2 1 2 2 1 2 2 1 1 2 2
((((x * x) div (((if (x mod 2) <= 0 then x else 2) + x) + (2 + 1))) + 1) mod 2)
A331414: 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0
((x + 2) div ((if ((x mod (2 + 1)) mod 2) <= 0 then (x div (2 + 1)) else 1) + 2))
A096446: 1 1 2 1 2 2 2 3 2 2 4 2
((((((if (x - 1) <= 0 then x else 2) + x) + 2) + (x div (2 + 1))) + 1) * 2)
A115036: 6 10 14 18 20 22 26 28 30 34 36 38 42 44 46 50
(if x <= 0 then 1 else (x - ((((x * 2) - 1) mod ((x div (2 + 1)) + 1)) div 2)))
A136623: 1 1 2 3 4 5 5 7 8 9 9 11 11 13 13 13
(((((if (x mod 2) <= 0 then 1 else x) * x) + 1) mod ((x div (2 + 1)) + 1)) div 2)
A219185: 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 2
(if x <= 0 then 1 else ((((x * x) * (x div 2)) div ((x mod (2 + 1)) + 1)) mod 2))
A280816: 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1
(((loop(\(x,i).((x + 2) * 2),(x - 2),0) div ((x * 2) + 1)) + 1) * 2)
A334125: 2 2 2 2 4 6 10 18 30 54 98 178 328 608 1130 2114
(x div ((((x - 1) * x) div (loop(\(x,i).(x * 2),(x div 2),1) + 1)) + 2))
A018243: 0 0 1 0 1 0 1 1 1 1 2 2 3 3 4 5
(if x <= 0 then 1 else ((x - ((((x - 1) * 2) mod ((x div 2) + 1)) - 1)) div 2))
A003036: 1 1 1 2 2 2 2 4 2 4 5 5 6
((x - (((if (x - 2) <= 0 then 1 else x) mod ((2 - (x mod 2)) + 1)) - 1)) + 2)
A063932: 2 3 4 5 6 7 9 9 9 11 12 13 15 15 15 17
((loop(\(x,i).(((((i div 2) + 2) * (i div 2)) + x) + 1),x,1) + 1) div 2)
A008610: 1 1 3 5 10 14 22 30 43 55 73 91 116 140 172 204
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) + 1) div 2)
A130380: 1 1 1 3 7 21 66 215 715 2431 8398 29393 104006 371450 1337220 4847423
((loop(\(x,i).((((x * 2) * (2 + 1)) + (x mod 2)) * 2),x,1) + 1) div 2)
A067413: 1 7 84 1008 12096 145152 1741824 20901888 250822656 3009871872 36118462464 433421549568 5201058594816 62412703137792 748952437653504 8987429251842048
((loop(\(x,i).(x - ((((i mod (2 + 1)) mod 2) - x) div 2)),x,1) + 1) div 2)
A173696: 1 1 1 2 2 3 5 7 10 15 23 34 51 77 115 173
(loop(\(x,i).((((i + x) mod 2) + ((x * 2) * 2)) + 1),(x + 1),1) div 2)
A037751: 2 11 45 180 722 2891 11565 46260 185042 740171 2960685 11842740 47370962 189483851 757935405 3031741620
(loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),(x + 1),1) div 2)
A037779: 3 13 54 216 867 3469 13878 55512 222051 888205 3552822 14211288 56845155 227380621 909522486 3638089944
(loop(\(x,i).(((2 - x) mod (((2 + 1) * 2) + 1)) * 2),(x - 1),1) div 2)
A021979: 0 0 1 0 2 5 6 4 1 0 2 5 6 4 1 0
((loop(\(x,i).((((x div (2 + 2)) * (2 + 1)) div 2) + i),x,1) + 1) div 2)
A173633: 1 1 1 2 2 3 4 4 6 6 7 8 8 10 10 11
(x - ((x + 1) mod (1 - (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2))))
A171572: 0 1 2 3 4 9 9 9 9 9 14 14 14 14 14 19
((if x <= 0 then 2 else ((x div (2 - ((x div (2 + 2)) div (0 - 2)))) + 1)) * 2)
A179411: 4 2 4 4 4 4 6 6 6 8 8 8 8 8 8 8
(loop(\(x,i).((x * x) * (x + 1)),1,(x - (x div ((0 - 2) - 1)))) div 2)
A015224: 0 6 18 40 126 196 288 550 726 936 1470 1800 2176 3078 3610 4200
(((loop(\(x,i).(x * 2),(x - (((2 + 1) * 2) + 1)),1) div 2) + 1) div 2)
A104144: 0 0 0 0 0 0 0 0 1 1 2 4 8 16 32 64
(((loop(\(x,i).(x * 2),(x - (((2 + 2) * 2) + 1)),1) div 2) + 1) div 2)
A168082: 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 16
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * 2)
A086946: 14 194 1994 19994 199994 1999994 19999994 199999994 1999999994 19999999994 199999999994 1999999999994 19999999999994 199999999999994 1999999999999994 19999999999999994
((x mod ((((x mod (if ((x div 2) - 2) <= 0 then 1 else 2)) + 1) * 2) + 1)) div 2)
A159459: 0 0 1 0 0 1 0 1 1 2 0 0 0 1 1 0
(if x <= 0 then 1 else ((((x mod ((((x div 2) + 1) div 2) + 1)) mod 2) + 1) * 2))
A100374: 1 2 2 4 2 4 2 4 2 2 2 4 2 4 2 2
((x mod 2) - (if ((x mod (((x div (2 + 2)) + 2) + 1)) - 2) <= 0 then 1 else 2))
A156709: ~1 0 ~1 0 ~1 0 ~1 ~1 ~2 ~1 ~1 0 ~1 0 ~1 ~1
(1 - (((x - 1) * x) mod ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) + 2)))
A186039: 1 1 ~1 1 1 ~1 ~1 ~1 ~1 1 1 ~1 1 1 ~1 1
(if x <= 0 then 1 else ((((x * x) * (2 + 2)) * (((2 + 1) * 2) + 1)) + 2))
A010018: 1 30 114 254 450 702 1010 1374 1794 2270 2802 3390 4034 4734 5490 6302
((if (((x div ((x div (2 + 2)) + 2)) + x) mod (2 + 1)) <= 0 then 2 else 1) + 2)
A108171: 4 3 4 3 3 4 3 4 3 3 4 3 3 4 3 4
((x + 2) div (2 - ((x mod 2) - (if ((x div (2 + 1)) - 2) <= 0 then 1 else 2))))
A155043: 0 1 1 2 2 3 2 4 3 3 3 4 3 5 4 5
((x div 2) - (((x div 2) + 1) div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + 2)))
A024695: 0 0 1 1 1 1 2 2 3 3 3 3 5 4 5 5
(((((((2 + 2) * 2) * 2) + loop(\(x,i).(x * 2),x,1)) * 2) - 1) * 2)
A250739: 66 70 78 94 126 190 318 574 1086 2110 4158 8254 16446 32830 65598 131134
((x mod ((x div ((loop(\(x,i).(i * x),x,1) mod (x + 1)) + 2)) + 1)) * 2)
A073759: 0 0 0 0 0 4 0 6 6 8 0 10 0 12 12 14
(if (((((2 - x) mod ((2 + 2) + 1)) * 2) mod (x + 1)) - 2) <= 0 then 1 else 2)
A343856-A218541: 1 1 1 1 1 2 1 1 2 2 2 1 1 2 2 2
((loop(\(x,i).(((x * 2) * 2) - (i mod (2 + 2))),(x + 1),2) - 1) div 2)
A037765: 3 12 50 201 807 3228 12914 51657 206631 826524 3306098 13224393 52897575 211590300 846361202 3385444809
((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1) * 2)
A100892: 2 6 2 14 2 6 2 30 2 6 2 14 2 6 2 62
((((0 - x) - 1) mod (((if ((x div 2) - 2) <= 0 then 0 else 2) + 2) + 1)) div 2)
A212551: 1 0 0 1 0 0 1 1 0 0 2 1 1 0 0 2
((2 - (if x <= 0 then 1 else (x mod ((x div ((x mod (0 - 2)) - 2)) - 1)))) div 2)
A133989: 0 1 1 1 2 1 2 1 2 2 2 3 2
(if x <= 0 then 1 else (((((x * x) mod ((x div (2 + 1)) + 2)) div 2) + 1) * 2))
A057467: 1 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2
((if x <= 0 then 1 else x) - ((((x - ((x div (2 + 1)) mod 2)) div 2) + 1) div 2))
A053756: 1 1 1 2 3 4 4 5 6 7 8 8 9 10 10 11
((if (x - 1) <= 0 then 1 else (((x - (((x div 2) + 1) div 2)) * 2) + 1)) * 2)
A080456: 2 2 6 10 14 18 18 22 26 30 30 34 38 42 42 46
(if ((x mod ((((x + 1) div 2) mod ((2 + 2) * 2)) + 2)) - 2) <= 0 then 1 else 2)
A242217: 1 1 1 2 1 1 1 1 1 1 2 2 2 2 2 1
(if (x - 2) <= 0 then 1 else (((x * x) div ((((2 + 2) * 2) * 2) + 1)) + 2))
A296371-A029043: 1 1 1 2 2 3 4 4 5 6 7 9 10 11 13 15
(((x * 2) * 2) - ((x - (if ((x div (2 + 2)) - 2) <= 0 then 2 else 1)) div 2))
A186276: 1 5 8 12 15 19 22 26 29 33 36 40 43 46 50 53
((((loop(\(x,i).((0 - x) * 2),x,((x + 2) + 2)) div 2) div 2) + 1) div 2)
A081037: 1 ~1 3 ~7 16 ~36 80 ~176 384 ~832 1792 ~3840 8192 ~17408 36864 ~77824
(if x <= 0 then 1 else ((((x * x) * (2 + 1)) * (((2 + 2) * 2) + 1)) + 2))
A010017: 1 29 110 245 434 677 974 1325 1730 2189 2702 3269 3890 4565 5294 6077
((x + 2) div (if (x - 2) <= 0 then 1 else (((x div ((2 + 2) * 2)) + 1) * 2)))
A262304: 2 3 4 2 3 3 4 4 2 2 3 3 3 3 4 4
(((x div (2 + 1)) - (if (((x div 2) * x) mod (2 + 2)) <= 0 then 2 else 1)) mod 2)
A127523: 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0
loop(\(x,i).(x * 2),(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)),2)
A140513: 2 4 4 8 8 8 16 16 16 16 32 32 32 32 32 64
((x + 1) mod ((if (2 - x) <= 0 then ((x - (x div (2 + 2))) div 2) else 1) * 2))
A156549: 1 0 1 0 1 2 3 2 3 4 3 4 5 4 5 4
((((loop(\(x,i).(((x * x) - 1) div 2),2,(x - 2)) div 2) div 2) + 1) div 2)
A000241: 0 0 0 0 0 1 3 9 18 36 60 100 150
A028723: 0 0 0 0 0 1 3 9 18 36 60 100 150 225 315 441
(if x <= 0 then 1 else ((x div ((((x + 1) mod ((x mod 2) + 2)) + 2) + 1)) mod 2))
A004555: 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1
loop(\(x,i).(x * 2),(((((x + 2) + 2) * 2) + 1) * ((2 + 2) + 1)),2)
A320863: 70368744177664 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) - 2),1,(((x * 2) + 1) * ((2 + 2) + 1))) - 2)
A152161: 21 221 621 1221 2021 3021 4221 5621 7221 9021 11021 13221 15621 18221 21021 24021
((2 + 2) - (((if x <= 0 then 1 else ((x div 2) + 2)) mod ((2 + 2) + 1)) mod 2))
A073322: 3 4 3 3 4 4 4 4 3 3 4 4 3 3 4 4
(if x <= 0 then 1 else (((x * 2) - (((1 - x) * 2) div ((2 + 2) + 1))) * 2))
A310409: 1 4 10 14 20 24 28 34 38 44 48 52 58 62 68 72
(((if x <= 0 then 1 else ((((x + 2) + 2) * x) * 2)) * ((2 + 2) + 1)) * 2)
A208375: 10 100 240 420 640 900 1200 1540 1920 2340 2800 3300 3840 4420 5040 5700
(if x <= 0 then 1 else (((x div (2 + 2)) - ((x + 2) div ((2 + 2) + 1))) * 2))
A255365: 1 0 0 ~2 0 0 0 0 0 0 0 0 2 0 0 0
(if x <= 0 then 1 else ((((2 + 1) * x) - ((x + 2) div ((2 + 2) + 1))) * 2))
A315654: 1 6 12 16 22 28 34 40 44 50 56 62 68 72 78 84
(if x <= 0 then 1 else ((x div 2) - (((1 - (x div 2)) div ((2 + 2) + 1)) mod 2)))
A029156: 1 0 1 1 1 1 2 2 3 3 4 4 5 5 7 7
(if x <= 0 then 1 else (((((x * x) div 2) - (x mod 2)) div ((2 + 2) + 1)) + 2))
A029013: 1 1 2 2 3 4 5 6 8 9 12 13 16 18 21 24
(x mod (if ((x div 2) mod ((2 + 2) + 1)) <= 0 then 1 else (((2 + 2) + 1) * 2)))
A004176: 0 0 2 3 4 5 6 7 8 9 0 0 2 3 4 5
((loop(\(x,i).i,((x div (2 + 1)) - 1),1) + x) + (((2 + 2) + 1) * 2))
A293728: 11 12 13 14 15 16 17 18 19 21 22 23 25 26 27 29
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,(((2 + 2) + 1) * 2))
A179555: 10 99 989 9889 98889 988889 9888889 98888889 988888889 9888888889 98888888889 988888888889 9888888888889 98888888888889 988888888888889 9888888888888889
(((if (((x div 2) - 2) - 2) <= 0 then 1 else x) * x) mod (((2 + 2) + 1) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A095187: 0 1 2 3 4 5 6 7 8 9 0 1 4 9 6 5
loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,(((2 + 2) + 1) * 2))
A198692: 10 76 538 3772 26410 184876 1294138 9058972 63412810 443889676 3107227738 21750594172 152254159210 1065779114476 7460453801338 52223176609372
((loop(\(x,i).(x - 2),(x - ((2 + 2) + 1)),x) * ((2 + 2) + 1)) * 2)
A095973: 0 10 20 30 40 50 40 30 20 10 0
(((if (x - 1) <= 0 then 1 else (((x mod 2) + 1) * x)) mod ((2 + 2) + 1)) mod 2)
A189920: 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0
((if x <= 0 then 1 else ((((x mod 2) * (x + 1)) + x) div ((2 + 2) + 1))) mod 2)
A104015: 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0
(if x <= 0 then 0 else (((((x * x) div (2 + 2)) - x) div ((2 + 2) + 1)) + 2))
A090184: 0 1 1 1 2 2 2 3 3 4 5 5 6 7 9 10
(if x <= 0 then 1 else ((((((2 + 2) + 1) * x) * x) * ((2 + 2) + 1)) + 2))
A010015: 1 27 102 227 402 627 902 1227 1602 2027 2502 3027 3602 4227 4902 5627
((((if ((x div 2) - 2) <= 0 then (2 + 1) else x) + x) mod ((2 + 2) + 1)) mod 2)
A322353: 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0
((loop(\(x,i).(((x * 2) * 2) - (i mod (2 + 2))),x,(2 + 2)) - 1) div 2)
A037702: 1 7 28 114 457 1831 7324 29298 117193 468775 1875100 7500402 30001609 120006439 480025756 1920103026
(if x <= 0 then 0 else (1 - (((x + 1) mod (0 - ((x div (2 + 2)) + 1))) div 2)))
A065373: 0 1 1 1 2 1 2 1 1 2 2 1 3 2 2 1
(((loop(\(x,i).(((x - ((i mod 2) - 2)) * 2) + 1),x,2) div 2) + 1) div 2)
A172411: 1 2 5 10
A026633: 1 2 5 10 22 44 90 180 362 724 1450 2900 5802 11604 23210 46420
((0 - (x div (((2 - x) div (((if x <= 0 then 2 else x) div 2) + 2)) - 1))) - 2)
A064662: ~2 ~1 0 0 0 1 1 2 2 1 2 2 2 3 3 3
((if x <= 0 then 2 else (x - (((x * x) + 2) div (((x + 2) + 2) + 1)))) + 2)
A056641: 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6
(loop(\(x,i).(x - (((x * 2) * 2) * (2 + 1))),((x + 2) * 2),1) - 2)
A133858: 14639 1771559
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * 2) + 1) * 2))
A017093: 32 100000 1889568 11881376 45435424 130691232 312500000 656356768 1252332576 2219006624 3707398432 5904900000 9039207968 13382255776 19254145824 27027081632
((if x <= 0 then 2 else ((x + 1) mod (((x * 2) div ((x div 2) + 2)) + 1))) div 2)
A065712: 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0
(((((x + 2) * x) div (2 + 2)) + x) + (if ((x div 2) - 2) <= 0 then 1 else 2))
A013660: 1 2 5 7 11
A001225: 1 2 5 7 11 14 20 24 30 35
(((((x * x) * (2 + 1)) + (if (x - 1) <= 0 then 1 else 0)) * (2 + 1)) div 2)
A299256: 1 6 18 40 72 112 162 220 288 364 450 544 648 760 882 1012
((loop(\(x,i).(i + x),(x - (((2 + 1) * 2) + 1)),0) div (2 + 1)) * 2)
A309882: 0 0 0 0 0 0 0 0 0 2 4 6 10 14 18 24
((loop(\(x,i).(((x div 2) + x) + 2),((x div 2) - 2),1) div (2 + 1)) * 2)
A309686: 0 0 0 0 0 0 2 2 4 4 6 6 12 12 18 18
((((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) + 1) * (2 + 1)) div 2)
A225647: 1 3 4 6 7
A072561: 1 3 4 6 7 9 10 12 13 15 19 21 22 24 25 27
((loop(\(x,i).(x * 2),(x - 1),(((2 + 1) * x) + 1)) * (2 + 1)) div 2)
A113070: 1 6 21 60 156 384 912 2112 4800 10752 23808 52224 113664 245760 528384 1130496
((((if (2 - x) <= 0 then ((2 + 1) * x) else 1) * (x + 1)) * (2 + 1)) - 2)
A110908: 1 4 52 106
(((loop(\(x,i).((x * x) * 2),2,(2 + 2)) mod (x + 1)) div (2 + 1)) + 2)
A344888: 2 2 2 2 3 2 3 2 3 4 2 4 4 3 4 2
((2 + 2) - (((if x <= 0 then 2 else ((x div 2) * (x + 1))) mod (2 + 1)) - 2))
A081261: 4 6 6 5 5 6 6 6 6 5 5 6 6 6 6 5
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (((x + 1) div (2 + 1)) mod 2))
A132357: 1 4 14 41 122 364 1093 3280 9842 29525 88574 265720 797161 2391484 7174454 21523361
(((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)) * 2)
A181111: 0 0 0 0 2 0 0 2 2 0 0 4 4 4 0 0
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (((x - 1) div (2 + 1)) mod 2))
A133453: 2 4 13 40 122 365 1094 3280 9841 29524 88574 265721 797162 2391484 7174453 21523360
((if x <= 0 then 2 else (x div (2 - ((x mod ((0 - 2) - 2)) * (2 + 1))))) div 2)
A029373: 1 0 0 0 1 0 0 0 2 0 0 1 3 0 0 1
(if x <= 0 then 1 else ((((((x * x) * (2 + 2)) * 2) * 2) div (2 + 1)) + 2))
A299255: 1 7 23 50 87 135 194 263 343 434 535 647 770 903 1047 1202
(x - ((((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2))) * (2 + 1)) + 2))
A032972: 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 22
((loop(\(x,i).((x * x) * x),1,((x div (2 + 2)) + 2)) div (2 + 1)) div 2)
A190718: 1 1 1 1 4 4 4 4 10 10 10 10 20 20 20 20
((((if x <= 0 then 1 else x) + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))
A106487: 1 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4
(if x <= 0 then 1 else ((((((x * x) div 2) - (x mod 2)) div 2) div (2 + 1)) + 2))
A029018: 1 1 2 2 3 3 5 5 7 8 10 11 14 15 18 20
((x - ((if (x div (2 + 2)) <= 0 then 1 else ((2 - x) div 2)) mod (2 + 1))) mod 2)
A074381: 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (((x - 2) div (2 + 1)) mod 2))
A133448: 2 5 13 40 121 365 1094 3281 9841 29524 88573 265721 797162 2391485 7174453 21523360
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) * (2 + 1)) + 2))
A016937: 32 32768 537824 3200000 11881376 33554432 79235168 164916224 312500000 550731776 916132832 1453933568 2219006624 3276800000 4704270176 6590815232
((x + 2) - (if x <= 0 then 1 else (x div (((1 - (x div 2)) div (2 + 1)) - 2))))
A164515: 1 4 5 7 8 9 10 12 13 14 15 16 17 19 20 21
(((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) + ((x div 2) div (2 + 1))) div 2)
A029365: 1 0 0 0 1 0 0 1 1 1 0 1 2 1 1 1
(if x <= 0 then 1 else ((((((x + 2) * x) * 2) - (x mod 2)) div (2 + 1)) + 2))
A178464: 1 3 7 11 18 25 34 43 55 67 82 97
(loop(\(x,i).((x * 2) - 1),((x + 1) div 2),((x mod 2) * (2 + 1))) div 2)
A137206: 0 2 ~1 4 ~2 8 ~4 16 ~8 32 ~16 64 ~32 128 ~64 256
(loop(\(x,i).(x * 2),x,((x + 2) - (((x * x) div 2) div (2 + 1)))) div 2)
A005103: 1 3 8 16 32 48 64 64
((if (((x div 2) div (2 + 1)) mod 2) <= 0 then x else (0 - x)) mod ((2 + 1) * 2))
A203572: 0 1 2 3 4 5 0 5 4 3 2 1 0 1 2 3
(x - ((0 - (if ((x div (2 + 2)) - 2) <= 0 then 2 else x)) div ((2 + 1) * 2)))
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A337149-A330236-A302593-A129304: 1 2 3 4 5 6 7 8 9 10 11 12 14 16 17 18
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((2 + 1) * 2))
A175221: 6 7 9 11 15 17 21 23 27 33 35 41 45 47 51 57
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) - 1) * x),x,((2 + 1) * 2))
A222335: 6 186 5766 178746 5541126 171774906 5325022086 165075684666 5117346224646 158637732964026 4917769721884806 152450861378428986 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),x,((2 + 1) * 2))
A199026: 6 76 846 9316 102486 1127356 12400926 136410196 1500512166 16505633836 181561972206 1997181694276 21968998637046 241658985007516 2658248835082686 29240737185909556
((((x * 2) * 2) - (((if (x - 2) <= 0 then 0 else 1) - x) div (2 + 1))) + 2)
A184485: 2 7 11 15 19 24 28 32 37 41 45 50 54 58 63 67
(((if x <= 0 then 1 else x) mod 2) - ((((x div (2 + 1)) * x) mod (2 + 1)) mod 2))
A229343: 1 1 0 1 ~1 1 0 1 ~1 1 0 1 0 0 0 1
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) - 1)),x,(2 + 1)) - 2)
A171556: 1 1 4 13 40 124 394 1285 4288 14584 50386 176356 624034 2228698 8023318 29084533
((((if (x - 1) <= 0 then 1 else (((x div 2) + 1) div 2)) + x) * (2 + 1)) * 2)
A242650: 6 12 18 24 30 36 48 54 60 66 78 84
((((loop(\(x,i).(x * x),((x * x) - 2),2) div 2) + x) * (2 + 1)) + 2)
A275003: 5 8 32 4611686018427387903
(loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),x,(2 + 1)) div 2)
A037688: 1 6 24 99 397 1590 6360 25443 101773 407094 1628376 6513507 26054029 104216118 416864472 1667457891
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2)
A089241: 6 8 12 16 24 28 36 40 48 60 64 76 84 88 96 108
(((if (((x div 2) * x) mod (2 + 2)) <= 0 then 2 else 1) + (x div (2 + 1))) div 2)
A169989: 1 1 0 1 1 1 1 1 2 2 2 2 3 2 2 3
((loop(\(x,i).(x - (x div (0 - 2))),(x div 2),1) + (x div (2 + 1))) div 2)
A240870: 0 0 1 1 2 2 3 3 5 5 7 7 11 11 15 16
(x div ((((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) * (x div (2 + 1))) + 2))
A130654: 0 0 1 0 1 1 1 0 1 1 1 1 1 2 1 0
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + ((x mod (2 + 1)) div 2))
A268389: 0 0 1 0 2 1 0 0 1 2 0 1 0 0 3 0
((if (x mod 2) <= 0 then 1 else ((x div (2 + 2)) + 2)) * ((x mod (2 + 1)) div 2))
A337923: 0 0 1 0 0 3 0 0 1 0 0 4 0 0 1 0
((if (x mod 2) <= 0 then 1 else (((x div 2) mod 2) + 2)) + ((x mod (2 + 1)) div 2))
A083040: 1 2 2 3 1 3 1 3 2 2 1 4 1 2 2 3
((((loop(\(x,i).((i + 1) * x),(x div 2),1) + x) * x) div (2 + 1)) + 2)
A118988: 2 2 4 7 15 20 62
((if x <= 0 then 1 else (x * 2)) - (((x div 2) - ((x * x) mod (2 + 1))) div 2))
A029900: 1 3 4 6 8 10 11 13 15 16 18 20 21 24 25 27
(((x div 2) div ((if (2 - (x mod ((2 + 2) + 1))) <= 0 then x else 2) + 1)) + 2)
A068049: 2 2 2 2 2 2 3 2 2 2 3 3 2 2 2 4
((loop(\(x,i).((x mod (((2 + 1) * 2) + 1)) * (2 + 1)),x,2) - 1) div 2)
A021039: 0 2 8 5 7 1 4 2 8 5 7 1 4 2 8 5
(((((((if x <= 0 then 1 else x) mod (2 + 1)) * (2 + 1)) + x) div 2) + 1) div 2)
A033923: 1 1 2 1 2 3 2 3 4 2 3 4 3 4 5 4
(if x <= 0 then 1 else ((((((((2 + 2) + 1) * x) - 1) * x) * 2) + 1) * 2))
A022145: 1 18 74 170 306 482 698 954 1250 1586 1962 2378 2834 3330 3866 4442
loop(\(x,i).(x * 2),(x - ((((x mod ((2 + 1) * 2)) - x) * 2) - 1)),2)
A147639: 4 8 16 32 64 128 1048576
(((loop(\(x,i).(x * 2),(x - 1),(((x + 2) * 2) + x)) div 2) + 1) div 2)
A098156: 1 2 5 13 32 76 176 400 896 1984 4352 9472 20480 44032 94208 200704
((((((if (x mod (2 + 2)) <= 0 then 1 else 2) + (x mod 2)) * x) div 2) + 1) div 2)
A030065: 0 1 1 2 1 4 3 5 2 7 5 8 3 10 7 11
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x + 2),1) - 2)
A222346: 8 33 124 460 1714 6433 24308 92376 352714 1352076
(((loop(\(x,i).((x * 2) * 2),x,2) + (x * x)) * ((x + 2) + 1)) * 2)
A036398: 12 72 360 1644
(x div ((loop(\(x,i).((1 - x) * 2),x,(2 + 1)) mod ((x * 2) + 1)) + 2))
A327622: 0 0 1 0 1 1 0 1 1 1 0 1 1 3 1 0
((x + 1) div ((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) + 2))
A292594: 0 0 1 1 0 2 2 1 3 3 1 4 0 0 5 5
(((((if (x mod 2) <= 0 then 2 else 0) + x) + (x div 2)) * ((x * 2) + 1)) - 2)
A316724: 0 1 23 26 70 75 141 148 236 245 355 366 498 511 665 680
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) + 1) * 2))
A016830: 64 46656 1000000 7529536 34012224 113379904 308915776 729000000 1544804416 3010936384 5489031744 9474296896 15625000000 24794911296 38068692544 56800235584
(if x <= 0 then 1 else ((((x div (2 + 2)) + x) div 2) + (((x * 2) + 1) * 2)))
A247974: 1 6 11 15 20 25 29 34 39 43 48 52 57 62 66 71
loop(\(x,i).(x * x),1,(((((x + 1) * 2) + 1) * ((x div 2) + 1)) * 2))
A014738: 36 100 784 1296 4356 6084 14400 18496 36100 44100 76176 90000 142884 164836 246016 278784
((((if x <= 0 then 1 else (x - ((2 - x) div 2))) - 1) * ((x div 2) + 1)) div 2)
A258087: 0 0 1 3 6 9 14 18 25 30 39 45 56 63 76 84
((if x <= 0 then 2 else (((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1))) div 2)
A144225-A110855: 1 0 0 0 1 0 0 1 1 0 0 1 2 1 0 0
(loop(\(x,i).(((i + 1) div 2) * x),x,1) + ((x mod ((x div 2) + 1)) mod 2))
A243013: 1 1 1 3 5 12 36
(if x <= 0 then 1 else ((((((x * x) * 2) * (2 + 1)) - (x mod 2)) + 1) * 2))
A110907: 1 12 50 108 194 300 434 588 770 972 1202 1452 1730 2028 2354 2700
((if (x mod (2 + 2)) <= 0 then 2 else ((x div 2) div ((2 - (x mod 2)) + 1))) div 2)
A046771: 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1
(loop(\(x,i).((x + 1) * (2 + 1)),((x div 2) + 1),((x mod 2) + 1)) - 2)
A164265: 4 7 19 28 64 91 199 280 604 847 1819 2548 5464 7651 16399 22960
((x - (if (x mod (2 + 1)) <= 0 then (((x - 1) div (2 + 1)) - x) else 1)) * 2)
A335756: 2 0 2 12 6 8 22 12 14 32 18 20 42 24 26 52
(loop(\(x,i).((compr(\x.((x div (2 + 2)) mod 2),i) + x) + (2 + 1)),x,1) + 2)
A171835: 3 7 12 18 29 41 54 68 87 107 128 150 177 205 234 264
(((((if (x mod (2 + 1)) <= 0 then 1 else x) * ((x mod 2) + 1)) + x) + 1) * 2)
A238749: 4 8 10 12 18 32
(loop(\(x,i).(((((((i mod 2) * 2) + 1) * x) div 2) * x) + 1),x,1) * 2)
A106274: 2 4 6 26 158
((compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1) * 2)
A139270: 2 8 12 16 18 20 24 28 30 32 36 40 42 44 48 50
((loop(\(x,i).((x + 2) + 1),(((x - 1) div (2 + 1)) - 2),x) + 1) * 2)
A134930: 2 4 6 8 10 12 14 16 18 20 28 30 32 40 42 44
(loop(\(x,i).((x - (1 - (((x * 2) * 2) * (2 + 1)))) * 2),x,1) + 2)
A112612: 3 26 624
(2 - (loop(\(x,i).((1 - ((i + 2) * 2)) * ((x * 2) * 2)),x,1) + 2))
A259057: ~1 20 ~560 20160 ~887040 46126080 ~2767564800 188194406400 ~14302774886400 1201433090457600 ~110531844322099200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x mod 2) * 2) * ((2 + 2) + 1)) + (x div 2)),x,1) div 2)
A021023: 0 5 2 6 3 1 5 7 8 9 4 7 3 6 8 4
((((((x * x) * (x + 1)) div 2) + (if x <= 0 then 0 else 1)) * (x + 1)) + 2)
A217200: 2 6 23 78 207 458 891 1578 2603 4062 6063 8726 12183 16578 22067 28818
(((loop(\(x,i).((x * 2) * 2),((x div 2) * 2),2) - 1) mod (x + 1)) div 2)
A055654: 0 0 0 1 0 0 0 3 2 0 0 3 0 0 0 7
(loop(\(x,i).((x div (((2 - x) mod (2 + 2)) + 2)) + 1),2,(x + 1)) div 2)
A317992: 0 1 0 1 1 1 1 0 1 2 0 1 1 1 1 1
((loop(\(x,i).(i * x),x,(((1 - x) div (2 + 1)) - 2)) mod (x + 1)) div 2)
A165619: 0 0 0 1 1 0 2 0 0 0 2 0 3 0 0 0
loop(\(x,i).((x + 2) * x),1,(((((x + 2) + 2) + 2) * (x + 1)) div 2))
A104473: 15 63 168 360 675 1155 1848 2808 4095 5775 7920 10608 13923 17955 22800 28560
((x + 1) div ((loop(\(x,i).((0 - x) * (x * 2)),2,2) mod (x + 1)) + 2))
A213330: 0 1 1 2 1 1 1 4 1 2 1 2 3 1 1 8
(((1 - loop(\(x,i).(x * 2),(((x mod 2) * x) div 2),2)) mod (x + 1)) div 2)
A104594: 0 0 1 0 2 2 3 0 4 4 5 4 6 6 7 0
(compr(\x.((loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)) - 2),(x + 1)) + 2)
A246955-A239929: 3 5 7 10 11 13 14 17 19 22 23 26 29 31 34 37
((((loop(\(x,i).(x * 2),(x - 2),x) * (x + 2)) div 2) * (x + 1)) div 2)
A346174: 0 1 6 30 120 420 1344 4032 11520 31680 84480 219648 559104 1397760 3440640 8355840
((((if (x mod 2) <= 0 then ((x + 2) * 2) else (x div 2)) + 2) * (x + 1)) div 2)
A070260: 3 2 15 6 35 12 63 20 99 30 143 42 195 56 255 72
(((((loop(\(x,i).((x + 1) * x),2,2) + 1) * x) + 2) * (x + 1)) div 2)
A098924: 1 45 132 262 435 651 910 1212 1557 1945 2376 2850 3367 3927 4530 5176
(((loop(\(x,i).((i * i) + x),(x + 1),0) * (x + 2)) * (x + 1)) div 2)
A108674: 1 15 84 300 825 1911 3920 7344 12825 21175 33396 50700 74529 106575 148800 203456
((loop(\(x,i).((x * x) * x),((x * 2) + 1),(x + 2)) div (x + 1)) * 2)
A059933: 16 7625597484986 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * (2 + 1)) + x),1,(((x + 2) * (x + 1)) div 2))
A213824: 4 30 114 310 690 1344 2380 3924 6120 9130 13134 18330 24934 33180 43320 55624
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x + 2) * (x + 1)) div 2))
A059860: 1 243 7776 100000 759375 4084101 17210368 60466176 184528125 503284375 1252332576 2887174368 6240321451 12762815625 24883200000 46525874176
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(((x + 2) * (x + 1)) div 2))
A027474: 1 21 294 3430 36015 352947 3294172 29647548 259416045 2219448385 18643366434 154231485954 1259557135291 10173346092735 81386768741880 645668365352248
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2)) * (x + 1)) div 2)
A077366: 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 136
((loop(\(x,i).((((i + 1) * 2) + 1) * x),x,(x + 2)) * (x + 1)) div 2)
A001880: 1 15 210 3150 51975 945945 18918900 413513100 9820936125 252070693875 6957151150950 205552193096250 6474894082531875 216659917377028125 4611686018427387903 4611686018427387903
((loop(\(x,i).((((i + 2) * 2) + 1) * x),x,(x + 2)) * (x + 1)) div 2)
A001881: 1 21 378 6930 135135 2837835 64324260 1571349780 41247931725 1159525191825 34785755754750 1109981842719750 37554385678684875 1343291487737574375 4611686018427387903 4611686018427387903
((loop(\(x,i).((((i + 2) + 2) + 2) * x),x,(x + 2)) * (x + 1)) div 2)
A062260: 1 21 336 5040 75600 1164240 18627840 311351040 5448643200 99891792000 1917922406400 38532804710400 809188898918400 17739910476288000 405483668029440000 4611686018427387903
((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))
A073752-A003557-A000190: 1 1 1 2 1 1 1 4 3 1 1 2 1 1 1 8
(loop(\(x,i).(i - x),(((x div (2 + 2)) + x) + 1),1) + ((x + 1) * 2))
A214991: 2 6 7 11 14 15 19 20 23 27 28 32 35 36 40 41
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),1) mod ((x + 1) * 2))
A083530: 1 1 1 1 7 1 7 1 1 9 7 1 7 21 13 1
loop(\(x,i).((((x * x) + 2) * x) * ((x * x) + 1)),1,((x + 1) * 2))
A289156: 60 1224 8436 34320 103020 254040 546084 1060896 1907100 3224040 5185620 8004144 11934156 17276280 24381060 33652800
(if x <= 0 then 1 else (((x * 2) div (((2 + 2) * 2) + 1)) + ((x + 1) * 2)))
A231407: 1 4 6
A186291: 1 4 6 8 10 13 15 17 19 22 24 26 28 30 33 35
((loop(\(x,i).((x * 2) * 2),x,(2 + 2)) + (x + 1)) mod ((x + 1) * 2))
A015943: 1 2 1 4 9 10 11 8 1 6 15 4 17 2 19 16
((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + ((x + 1) * 2))
A341522: 2 5 6 11 10 13 14 23 18 21 22 27 26 29 30 47
(((((x div 2) + x) div (if (2 - x) <= 0 then 2 else 1)) + 2) + ((x + 1) * 2))
A247985: 4 7 9 12 15 17 20 23 26 28 31 34 37 39 42 45
(((((x div (2 + 2)) + x) div 2) + (if x <= 0 then 1 else 2)) + ((x + 1) * 2))
A305849: 3 6 9 11 14 17 19 22 25 27 30 32 35 38 40 43
((if x <= 0 then 1 else x) - ((((x div 2) + x) div (2 + 2)) - ((x + 1) * 2)))
A184733: 3 5 8 10 13 16 18 21 23 26 29 31 34 37 39 42
((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + ((x + 1) * 2))
A287723: 2 4 7 9 11 13 16 18 21 23 25 27 30 32 34 36
loop(\(x,i).(((x * 2) div (((2 + 1) * 2) + 1)) + x),2,((x + 1) * 2))
A190332: 2 6 9 12 15 19 23 25 29 32 36 38 42 46 48 52
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - ((x + 1) * 2))
A144657: 0 2 14 62 242 912 3418 12854 48602 184736 705410 2704132 10400574 40116572 155117490 601080358
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((x + 1) * 2))
A129726: 2 5 9 13 19 23 29 33 39 47 51 59 65 69 75 83
((loop(\(x,i).(i * x),x,(((x + 1) div 2) + 1)) div 2) * ((x + 1) div 2))
A152887: 0 1 2 18 72 720 4320 50400 403200 5443200 54432000 838252800 10059033600 174356582400 2440992153600 47076277248000
((loop(\(x,i).((x div 2) + x),((x div 2) - 2),2) - 2) + ((x + 1) div 2))
A242634: 0 1 1 2 2 3 4 5 6 7 9 10 13 14 18 19
((((if x <= 0 then 1 else x) * (2 + 2)) div ((x + 2) + 2)) + ((x + 1) div 2))
A079411: 1 1 2 3 4 5 5 6 6 7 7 8 9 10 10 11
(((x div (if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1)) + 1) * ((x + 1) mod 2))
A318517: 1 0 3 0 5 0 7 0 5 0 11 0 13 0 15 0
(((loop(\(x,i).((x * 2) * 2),(x mod (2 + 2)),1) + x) mod (x + 1)) div 2)
A242869: 0 0 0 1 0 1 0 3 0 1 2 1 0 1 0 7
((((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + (x + 1)) * 2)
A189680: 2 6 10 12 16 20 22 26 30 32 36 40 44 46 50 54
(loop(\(x,i).((((((i + 1) * 2) + 1) * x) * 2) * 2),x,(x + 1)) * 2)
A123828: 2 80 3360 161280
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) + x) * (x + 1)) div 2)
A081553: 1 21 303 4006 50010 600015 7000021 80000028 900000036 10000000045 110000000055 1200000000066 13000000000078 140000000000091 1500000000000105 16000000000000120
(((loop(\(x,i).(((i + 2) + 2) * x),(x - 1),x) * x) * (x + 1)) div 2)
A037961: 0 1 30 540 8400 126000 1905120 29635200 479001600 8083152000 142702560000 2637143308800 50999300352000 1031319184896000 21785854970880000 480178027929600000
(loop(\(x,i).(((x * x) - 2) div (((2 + 1) * 2) + 1)),2,(x - 1)) + 2)
A004047: 1 1 1 1 1 2 3 4 6 10 19
(loop(\(x,i).(((((i + 2) + 2) * i) div 2) + x),(x + 2),(x - 1)) div 2)
A035107: 3 9 17 29 44 64 88 118 153 195 243 299 362 434 514 604
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - ((x - 1) * 2))
A173072: 2 1 1 1 3 3 5 5 7 11 11 15 17 17 19 23
((((if x <= 0 then 1 else (((x div 2) + x) * (2 + 1))) + x) * (x - 1)) + 2)
A084828: 1 2 13 32 68
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x - 2),x) * (x - 1)) div 2)
A081137: 0 0 1 21 294 3430 36015 352947 3294172 29647548 259416045 2219448385
(((((((2 + 2) * (2 + 1)) + 1) * x) * x) + 1) * (if x <= 0 then 1 else 2))
A010016: 1 28 106 236 418 652 938 1276 1666 2108 2602 3148 3746 4396 5098 5852
(((((((2 + 2) * (2 + 1)) - 1) * x) * x) + 1) * (if x <= 0 then 1 else 2))
A010012: 1 24 90 200 354 552 794 1080 1410 1784 2202 2664 3170 3720 4314 4952
(((x mod (1 - (x mod ((x div (0 - 2)) - 1)))) div 2) + (if x <= 0 then 1 else 2))
A336313: 1 2 2 2 2 2 2 3 3 2 2 3 2 2 3 3
(((((x div (2 + 1)) * x) div ((2 + 2) + 1)) mod 2) + (if x <= 0 then 1 else 2))
A270966: 1 2 2 2 2 3 2 2 3 3 2 2 3 2 3 3
(((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + (if x <= 0 then 1 else 2))
A294903-A287841-A105561-A087133-A083399: 1 2 2 2 2 3 2 2 2 3 2 3 2 3 3 2
(((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + (if x <= 0 then 1 else 2))
A324292: 1 2 2 2 2 3 2 2 2 3 2 3 2 3 4 2
((((((x div 2) + x) + ((x * 2) * 2)) + 2) * 2) + (if x <= 0 then 1 else 2))
A063228: 5 16 28 38 50 60 72 82 94 104 116 126 138 148 160 170
((((((x * x) mod (2 + 1)) + x) div (2 + 2)) + x) + (if x <= 0 then 1 else 2))
A184425: 1 3 4 5 7 8 9 11 12 13 14 16 17 18 19 20
(((((((2 + 1) * 2) * (2 + 1)) + 1) * x) * x) + (if x <= 0 then 1 else 2))
A010009: 1 21 78 173 306 477 686 933 1218 1541 1902 2301 2738 3213 3726 4277
(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * x) + (if x <= 0 then 1 else 2))
A010013: 1 25 94 209 370 577 830 1129 1474 1865 2302 2785 3314 3889 4510 5177
((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * x) + (if x <= 0 then 1 else 2))
A010020: 1 33 126 281 498 777 1118 1521 1986 2513 3102 3753 4466 5241 6078 6977
(loop(\(x,i).((((x div (((i div 2) mod 2) - 2)) mod 2) + 1) + x),x,1) + 2)
A091066: 3 5 7 9 10 11 13 15 17 18 19 21 22 23 25 27
(loop(\(x,i).((x div (((2 + 2) * 2) + 1)) + x),2,((x * x) + 1)) div 2)
A293408: 0 1 2 6 10 15 22 30 40 50 62 75 89 104 121 139
(((x * 2) - (((x div 2) - (if ((x div 2) - 2) <= 0 then 1 else 0)) div 2)) * 2)
A285342: 2 6 8 12 16 20 22 26 28 32 36 40 42 46 50 54
((loop(\(x,i).((((i * i) * (2 + 2)) + x) - 1),(x + 1),0) * 2) * 2)
A199531: 12 72 212 464 860 1432 2212 3232 4524 6120 8052 10352 13052 16184 19780 23872
((loop(\(x,i).((((x * 2) * 2) + i) * (2 + 2)),(x + 1),0) div 2) div 2)
A048447: 1 18 291 4660 74565 1193046 19088743 305419896 4886718345 78187493530 1250999896491 20015998343868 320255973501901 5124095576030430 81985529216486895 4611686018427387903
((loop(\(x,i).(((((i + 2) * i) - 1) * i) + x),(x + 1),0) div 2) + 2)
A290061: 3 10 31 77 162 303 520 836 1277 1872 2653 3655 4916 6477 8382 10678
((((x * x) - 1) * x) div ((if ((2 - x) mod (2 + 2)) <= 0 then 0 else 2) + 2))
A276670: 0 0 3 6 15 30 105 84 126 180 495 330 429 546 1365 840
((((x mod ((2 + 1) * 2)) + 1) + (if ((x div 2) - 2) <= 0 then 0 else 2)) div 2)
A328481-A089293: 0 1 1 2 2 3 1 2 2 3 3 4 1 2 2 3
(2 - (loop(\(x,i).((x div (((2 + 2) * 2) + 1)) + x),x,(0 - 2)) div 2))
A182280: 3 4 4 5 5 6 6 7 7 8 9 10 11 12 14 15
(((x + 2) * 2) div ((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2) + 2))
A078935: 1 1 2 2 3 3 4 6 5 5 6 6 7 7 10 8
(((x - ((if x <= 0 then 1 else x) div ((x div ((2 + 2) + 1)) + 1))) div 2) + 2)
A321162: 1 2 2 2 2 3 3 4 4 4 5 6 6 6 7 8
((if (x - 1) <= 0 then x else (((((x + 1) div 2) div (2 + 1)) + 1) * 2)) + 2)
A131798: 2 3 4 4 4 6 6 6 6 6 6 8 8 8 8 8
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) * (2 + 1)) + 1) * 2)) div 2)
A120140: 13 19 29 43 65 97 146 219 328 492 738 1107 1661 2491 3737 5605
(((loop(\(x,i).((x - (i mod 2)) * x),(x * 2),(2 + 1)) + 1) div 2) * 2)
A297105: 4 36 1587600 4611686018427387903
((if (((x div ((x div (2 + 2)) + 2)) + x) mod (2 + 1)) <= 0 then 1 else 2) + 2)
A276867: 3 4 3 4 4 3 4 3 4 4 3 4 4 3 4 3
(if (x mod 2) <= 0 then 1 else ((((x * 2) div ((x div (2 + 1)) + 1)) mod 2) * 2))
A107016: 1 0 1 2 1 2 1 0 1 0 1 2 1 2 1 2
((loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),(x + 1),1) - 2) - 2)
A205085: 11 151 1551 15551 155551 1555551 15555551 155555551 1555555551 15555555551 155555555551 1555555555551 15555555555551 155555555555551 1555555555555551 15555555555555551
((loop(\(x,i).((x + 2) * x),1,(x - (x div ((0 - 2) - 1)))) div 2) div 2)
A226023: 0 2 3 6 12 15 20 30 35 42 56 63 72 90 99 110
((((x + 1) mod ((((x mod 2) + 1) * (if x <= 0 then 0 else 2)) + 1)) + 2) + 2)
A055166: 4 6 4 8 6 5 5
(if (x - (2 + 1)) <= 0 then x else (((x div (((2 + 1) * 2) + 1)) + 2) + 2))
A325282: 0 1 2 3 4 4 4 5 5 5 5 5 5 5 6 6
((loop(\(x,i).(((2 + 2) + 1) * x),(((x * 2) - 1) * 2),1) + 2) + 2)
A228028: 5 29 15629 9765629
(((if x <= 0 then 2 else (x - (x div ((((x div 2) + 1) div 2) + 1)))) div 2) mod 2)
A004609: 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0
(((if x <= 0 then 0 else (((((2 + 2) * 2) mod (x + 1)) mod 2) + 1)) + 2) + 2)
A103671: 4 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5
(((((if x <= 0 then 2 else (x - ((x div (2 + 1)) mod 2))) div 2) + 1) div 2) * 2)
A244478: 2 0 2 2 2 2 4 4 4 4 4 6 6 6 8 8
(x - (x div (0 - ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 1 else 2) + 2))))
A245231: 0 2 3 4 5 7 8 10 10 12 13 14 15 17 18 20
((x div 2) div (((x - 1) mod ((if (x mod (2 + 2)) <= 0 then 2 else 1) + 2)) + 2))
A266715: 0 0 0 0 0 0 0 1 0 1 2 1 1 3 2 1
((if ((x mod (1 - ((2 + 2) * (2 + 1)))) mod (2 + 2)) <= 0 then 1 else 2) + 2)
A276865: 3 4 4 3 4 4 4 3 4 4 4 3 4 4 3 4
((if (x - 2) <= 0 then x else ((((x * 2) + 1) div ((2 + 2) + 1)) + 2)) + 2)
A104135: 2 3 4 5 5 6 6 7 7 7 8 8 9 9 9 10
(((x - (if (x - 2) <= 0 then 1 else ((x * 2) div ((2 + 2) + 1)))) + 2) + 2)
A198458: 3 4 5 6 7 7 8 9 9 10 10 11 12 12 13 13
(if (x mod 2) <= 0 then x else (((x * x) * x) mod ((((2 + 2) + 1) * 2) * 2)))
A222237: 0 1 2 7 4 5 6 3 8 9 10 11 12 17 14 15
((if x <= 0 then 2 else (x - (((x div 2) - (x mod ((2 + 2) + 1))) div 2))) div 2)
A301426: 1 1 1 2 2 2 2 3 4 4 4 4 5 6 6 6
(if x <= 0 then 1 else ((((x div 2) mod (((0 - x) mod (2 + 2)) + 1)) div 2) * 2))
A339430: 1 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0
((x + 1) div (if x <= 0 then 1 else (((((0 - x) mod (2 + 2)) + 1) * 2) * 2)))
A029362: 1 0 0 0 1 0 0 1 2 0 0 1 3 0 1 2
(((((if (2 - x) <= 0 then x else 0) - 1) * ((x div (2 + 2)) + 1)) div 2) mod 2)
A255851: 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0
(if (x mod 2) <= 0 then 1 else ((x div ((x div ((x mod (2 + 2)) + 1)) + 2)) + 2))
A306248: 1 2 1 3 1 3 1 4 1 3 1 4 1 3 1 5
((if x <= 0 then 2 else ((x - ((x div ((2 + 2) + 1)) * (2 + 1))) div 2)) div 2)
A029363: 1 0 0 0 1 0 0 1 1 1 1 1 1 1 2 1
(((((if (x mod 2) <= 0 then x else (2 - x)) mod (2 + 1)) * (2 + 1)) div 2) + 2)
A262565: 2 3 5 5 3 2 2 3 5 5 3 2 2 3 5 5
(((x - ((0 - (if (2 - x) <= 0 then (x div 2) else 1)) div (2 + 1))) + 2) + 2)
A155771: 5 6 7 8 9 10 11 12 14 15 16 17 18 19 21 22
((x - (if x <= 0 then 1 else (x mod (((x div (2 + 2)) * (2 + 1)) - 2)))) mod 2)
A299197: 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0
(if x <= 0 then x else (((x + 2) mod ((((x div 2) * 2) div (2 + 1)) + 2)) - 2))
A072731: 0 ~1 ~2 ~1 ~2 ~1 ~2 ~1 0 1 0 1 0 1 2 3
((if x <= 0 then 2 else ((((((x + 2) + 1) * x) div 2) * (2 + 1)) div 2)) - 2)
A051349: 0 1 5 11 19 28 38 50 64 79 95 113 133 154 176 200
loop(\(x,i).(x * x),(2 + 1),(x - ((((x * 2) * (2 + 1)) + 2) * 2)))
A017444: 65536 2562890625 208827064576 3512479453921 28179280429056 146830437604321 576480100000000 1853020188851841 5132188731375616 12667700813876161 28525864220672256 59604644775390625 117033789351264256 218041257467152161 388379855336079616
(if (x - 1) <= 0 then x else (((x - 1) div (((x div 2) div (2 + 1)) + 2)) mod 2))
A291291: 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1
(loop(\(x,i).(((((x + 2) * 2) * 2) * 2) - x),x,((2 + 1) * 2)) * 2)
A304827: 12 116 844 5940 41612 291316 2039244 14274740 99923212 699462516 4896237644 34273663540 239915644812 1679409513716 11755866596044 82291066172340
((((loop(\(x,i).i,((x - 1) div (2 + 1)),1) + x) * (2 + 1)) div 2) * 2)
A213638: 2 6 8 12 14 18 20 26 30 32 38 42 44 50 54 56
(((((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x) * (2 + 1)) div 2) div 2)
A120503: 1 2 3 3 4 5 6 6 7 8 9 9 9 10 11 12
loop(\(x,i).(x * 2),(((((x div 2) div (2 + 1)) + x) * (2 + 1)) div 2),2)
A269758: 2 4 16 32 128 256 2048 8192 16384 65536 131072 524288 4194304 8388608 33554432 67108864
((if x <= 0 then 1 else (((((2 + 2) + 1) * x) - (x div (2 + 1))) * 2)) + 2)
A063107: 3 12 22 30 40 50 58 68 78 86 96 106 114 124 134 142
((if x <= 0 then 1 else (((((x + 1) div 2) + 1) * (x mod (2 + 1))) div 2)) mod 2)
A095901: 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0
(((if (x mod 2) <= 0 then 1 else (x div (2 + 1))) * ((x mod (2 + 1)) div 2)) + 2)
A152727: 2 2 3 2 2 3 2 2 3 2 2 5 2 2 3 2
((1 - x) mod (if x <= 0 then 1 else (x - ((x - ((x mod (2 + 1)) div 2)) div 2))))
A229878: 0 0 1 0 1 2
A338630: 0 0 1 0 1 2 1 2 3 2 1 2 1 2 3 2
(if x <= 0 then 1 else (((((x * x) * (x + 1)) div ((x + 2) + 1)) mod 2) * 2))
A339441: 1 0 0 0 2 0 0 2 0 2 0 2 0 2 0 0
((((loop(\(x,i).(x * 2),(x - 1),x) * x) * ((x + 2) + 1)) div 2) div 2)
A058645: 0 1 10 54 224 800 2592 7840 22528 62208 166400 433664 1105920 2768896 6823936 16588800
((loop(\(x,i).((((x div 2) div (2 + 1)) + x) + 1),(x - 2),1) div 2) + 2)
A120179: 2 2 2 3 3 4 4 5 6 7 8 9 11 13 15 17
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) + 1) * 2) * 2))
A017117: 1024 248832 3200000 17210368 60466176 164916224 380204032 777600000 1453933568 2535525376 4182119424 6590815232 10000000000 14693280768 21003416576 29316250624
((if x <= 0 then 1 else (((x mod 2) + x) * 2)) + ((((x * 2) + 1) * 2) * 2))
A063243-A063232: 5 16 24 36 44 56 64 76 84 96 104 116 124 136 144 156
loop(\(x,i).(((x + 1) * x) div 2),1,(x - ((((x * 2) + 1) * 2) * 2)))
A061792: 6 55 153 300 496 741 1035 1378 1770 2211 2701 3240 3828 4465 5151 5886
((if (x mod 2) <= 0 then 1 else ((0 - x) - 1)) + ((((x div 2) + 1) div 2) * 2))
A110516: 1 ~2 3 ~2 3 ~4 5 ~4 5 ~6 7 ~6 7 ~8 9 ~8
(((loop(\(x,i).(x * 2),(x - 1),x) * (((2 + 1) * x) + 1)) div 2) div 2)
A276289: 0 1 7 30 104 320 912 2464 6400 16128 39680 95744 227328 532480 1232896 2826240
(((compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) + 1) * 2) * 2)
A062876: 4 12 20 28 44 52 68 76 92 116 124 148 164 172 188 212
((loop(\(x,i).((((x * x) * (2 + 1)) div (i + 1)) + 2),x,1) + 2) + 2)
A116048: 5 7 15 96
((loop(\(x,i).(((x * 2) - (x div ((i mod 2) + 2))) * 2),x,1) div 2) div 2)
A136853: 0 1 3 10 30 100 300 1000 3000 10000 30000 100000 300000 1000000 3000000 10000000
(((loop(\(x,i).(x * x),2,(((x * 2) * 2) - 1)) div (x + 1)) + 2) * 2)
A306244: 6 84 1604
((if x <= 0 then 2 else (((((x * x) div 2) div (2 + 1)) mod (x + 1)) div 2)) div 2)
A029392: 1 0 0 0 0 1 1 0 0 0 1 2 2 0 0 1
((loop(\(x,i).((((2 + 2) + 1) * x) - 1),(x + 1),(x + 1)) div 2) div 2)
A014917: 1 11 86 586 3711 22461 131836 756836 4272461 23803711 131225586 717163086 3890991211 20980834961 112533569336 600814819336
((((if (x mod 2) <= 0 then ((x div (2 + 1)) mod 2) else 2) * (x + 1)) div 2) div 2)
A260437: 0 1 0 2 1 3 0 4 0 5 2 6 0 7 0 8
(if x <= 0 then 1 else ((((((x mod 2) - (x div 2)) + 2) mod (x + 1)) div 2) + 2))
A275383: 1 2 2 3 2 2 5 2 5
(((x - (loop(\(x,i).((x + 1) * (2 + 1)),x,2) mod (x + 1))) div 2) div 2)
A070102: 0 0 0 0 0 0 1 0 1 0 2 0 2 1 3 2
((2 + 1) mod (((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2) + 2))
A306268: 1 1 1 0 1 3 1 0 0 3 1 3 1 3 3 0
((if (x - 2) <= 0 then x else ((x * x) div (2 + 1))) + (((x + 1) div 2) div 2))
A319158: 0 1 2 4 6 9 13 18 23 29 35 43 51
((if x <= 0 then 1 else (((x * 2) div (2 + 1)) + 2)) - (((x + 1) div 2) div 2))
A346373: 1 2 3 3 3 4 5 4 5 6 6 6 7 7 8 8
((((if (x mod 2) <= 0 then ((x mod (2 + 1)) div 2) else 2) * (x - 1)) div 2) div 2)
A279119-A249738: 0 0 0 1 0 2 0 3 1 4 0 5 0 6 3 7
(loop(\(x,i).(((x * 2) div ((x div (2 + 1)) + 2)) + x),(x - 1),2) div 2)
A062418: 1 1 2 3 4 6 8 10 12 15 17 20 22 25 27 30
((((x div 2) + 2) mod ((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) + 2)) + 2)
A112046: 2 2 3 3 2 2 3 3 2 2 5 5 2 2 3 3
((((loop(\(x,i).(((x + 2) + 2) * 2),(x + 1),1) + 1) * 2) * 2) * 2)
A304519: 88 232 520 1096 2248 4552 9160 18376 36808 73672 147400 294856 589768 1179592 2359240 4718536
(((if ((x - (x div (2 + 2))) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + 2) + 2)
A018246: 5 6 6 6 6 6 5 6 6 6 6 6 6 5 6 6
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 2) * 2)
A086948: 12 192 1992 19992 199992 1999992 19999992 199999992 1999999992 19999999992 199999999992 1999999999992 19999999999992 199999999999992 1999999999999992 19999999999999992
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) * 2) * 2)
A086942: 32 392 3992 39992 399992 3999992 39999992 399999992 3999999992 39999999992 399999999992 3999999999992 39999999999992 399999999999992 3999999999999992 39999999999999992
((((((loop(\(x,i).(x * 2),x,2) + (x mod 2)) * 2) - 1) * 2) * 2) * 2)
A090860: 24 72 120 264 504 1032 2040 4104 8184 16392 32760 65544 131064 262152 524280 1048584
(x - ((if x <= 0 then 1 else x) div (((((x - 1) div (2 + 1)) mod 2) - 2) - 2)))
A238369: 1 2 3 4 6 7 8 9 10 12 14 15 16 17 18 19
(if x <= 0 then 1 else ((((x - (1 - ((x div 2) div (2 + 1)))) div 2) mod 2) + 2))
A110012: 1 2 2 3 3 2 3 3 2 2 3 3 2 3 3 2
(((x + 1) div (if x <= 0 then 1 else (x - ((x mod ((2 + 1) * 2)) * 2)))) mod 2)
A029417: 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1
(((x + 1) mod ((if (x mod 2) <= 0 then 1 else ((x mod (2 + 1)) + 2)) + 2)) div 2)
A338326: 0 1 0 0 1 0 0 1 0 1 1 0 0 2 0 0
((if x <= 0 then 1 else (((((((x + 1) div 2) * x) div 2) + 1) div 2) div 2)) mod 2)
A112609: 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1
((((loop(\(x,i).((i * i) + x),((x * 2) + 1),x) + 1) * 2) * 2) * 2)
A167471: 16 128 464 1152 2320 4096 6608 9984 14352 19840 26576 34688 44304 55552 68560 83456
(((loop(\(x,i).((((x div 2) + (x * 2)) * 2) * 2),x,1) * 2) * 2) * 2)
A047900: 8 64 640 6400 64000 640000 6400000 64000000 640000000 6400000000 64000000000 640000000000 6400000000000 64000000000000 640000000000000 6400000000000000
(((loop(\(x,i).((((x * 2) * 2) - (x div 2)) * 2),x,1) * 2) * 2) * 2)
A223564: 8 64 448 3136 21952 153664 1075648 7529536 52706752 368947264 2582630848 18078415936 126548911552 885842380864 6200896666048 43406276662336
(((loop(\(x,i).(x div (2 - (x mod 2))),(2 + 1),(x + 1)) * 2) * 2) * 2)
A205382: 8 8 24 8 40 24 56 8 72 40 88 24 104 56 120 16
(((2 - ((x - (loop(\(x,i).(x * 2),x,1) div (x + 1))) div 2)) div 2) div 2)
A058932: 0 0 0 0 0 0 1 1 3 5 11 20
loop(\(x,i).((x * x) div (2 + 2)),1,(x - ((((x + 1) div 2) div 2) * 2)))
A229878: 0 0 1 0 1 2
A296141: 0 0 1 0 1 2 4 2 4 6 9 6 9 12 16 12
(((loop(\(x,i).((((x - 1) * x) div 2) + 2),(x * x),1) * 2) * 2) + 2)
A275004: 6 10 50 4611686018427387903
((((loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,1) + 2) * 2) * 2) * 2)
A305165: 24 160 432 976 2064 4240 8592 17296 34704 69520 139152 278416 556944 1114000 2228112 4456336
(((x - ((if x <= 0 then 1 else x) div ((x mod ((0 - 2) - 2)) - 2))) + 2) * 2)
A092121: 6 8 10 12 16 16 20 24 28
((((loop(\(x,i).((2 + 1) * x),((x * 2) + 1),2) * 2) * 2) * 2) * 2)
A203979: 96 864 7776 69984 629856 5668704 51018336 459165024 4132485216 37192366944 334731302496 3012581722464 27113235502176 244019119519584 2196172075676256 19765548681086304
loop(\(x,i).(((x + 2) + 1) * 2),x,(((((2 + 2) * 2) * 2) * 2) * 2))
A250654: 64 134 274 554 1114 2234 4474 8954 17914 35834 71674 143354 286714 573434 1146874 2293754
((if (x - 2) <= 0 then x else (((x - ((x div (2 + 2)) mod 2)) div 2) + 2)) + 2)
A198454: 2 3 4 5 5 6 6 7 8 8 9 9 9 10 10 11
((x mod (if ((x + 1) mod ((2 + 1) * 2)) <= 0 then ((2 + 2) * 2) else 2)) + 2)
A260233: 2 3 2 3 2 7 2 3 2 3 2 5 2 3 2 3
((if x <= 0 then 0 else 1) - (((x - ((x * x) div ((2 + 2) * 2))) div 2) div 2))
A054911: 0 1 1 1 1 1 1 1 1 2 2 2 3 3 4 5
(((x - ((if x <= 0 then 1 else x) div (((2 - x) div (2 + 2)) - 2))) mod 2) + 2)
A082844: 3 2 3 2 2 3 2 3 2 2 3 2 3 2 3 2
((x + 2) div ((x div ((if (x mod 2) <= 0 then (x div (2 + 2)) else 2) + 2)) + 2))
A067595: 1 1 1 2 2 2 2 3 2 2 3 3 3 3 4 3
(((((if (x - 2) <= 0 then 1 else 2) + x) + ((x div (2 + 2)) mod 2)) + 2) div 2)
A099249: 1 2 2 3 4 5 5 6 6 6 7 7 8 9 9 10
((x - (if (x - 1) <= 0 then 1 else (((x - (x div (2 + 2))) div 2) * 2))) + 2)
A165359: 1 2 2 3 4 3 4 3 4 5 4 5 6 5 6 5
(((if x <= 0 then 1 else (((((x * 2) * 2) - (x div 2)) * 2) * 2)) + 2) + 2)
A063133: 5 20 32 48 60 76 88 104 116 132 144 160 172 188 200 216
(if x <= 0 then 1 else ((x mod 2) - ((x mod ((((x div 2) mod 2) + 2) + 2)) mod 2)))
A228591: 1 0 0 0 0 0 ~1 1 0 0 0 0 0 0 0 1
((((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) div 2) div 2) div 2) div 2)
A024792: 0 0 0 0 0 0 0 1 1 2 3 5 7 11 15 23
((if x <= 0 then 2 else (x mod (((2 - (x div (2 + 1))) mod (2 + 2)) + 2))) div 2)
A319000: 1 0 1 0 0 1 0 0 0 2 0 0 0 0 1 0
(x - (2 - ((if (((x div 2) - 2) - 2) <= 0 then 1 else ((2 + 2) * 2)) * 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A133505-A133134: 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29
(if (((2 + 2) * 2) mod (x + 1)) <= 0 then (x + 1) else (((2 + 2) * 2) * 2))
A232503: 1 2 16 4 16 16 16 8 16 16 16 16 16 16 16 16
(loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) + (((2 + 2) * 2) * 2))
A209726: 16 17 18 20 22 26 30 38 46 62 78 110 142 206 270 398
((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) mod ((x mod ((2 + 2) * 2)) + 2))
A044948: 1 1 1 1 1 1 1 2 0 2 2 2 2 2 2 2
((if x <= 0 then 2 else (((x mod ((2 + 2) + 1)) * (x div (2 + 2))) div 2)) div 2)
A263141: 1 0 0 0 1 0 0 0 1 2 0 0 1 2 3 0
(if x <= 0 then 2 else (1 div (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))))
A073423: 2 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1
loop(\(x,i).(x * x),1,(x - ((2 + 2) div (((x div (2 + 2)) - 2) - 2))))
A100498: 1 4 9 16 36 49 64 81 100 121 144 169 256 289 324 361
(if x <= 0 then 1 else (((((((x - 1) div 2) div 2) * (x + 2)) div 2) mod 2) + 2))
A127992: 1 2 2 2 2 3 2 2 3 3 2 3 2 2 2 3
((loop(\(x,i).(((((i + 1) * i) div 2) + x) + 2),(x + 2),2) + 2) * 2)
A026040: 24 40 64 98 144 204 280 374 488 624 784 970 1184 1428 1704 2014
(if x <= 0 then 1 else (((((1 - x) mod (2 + 1)) + ((x * 2) * 2)) * 2) * 2))
A176869: 1 16 40 52 64 88 100 112 136 148 160 184 196 208 232 244
((if x <= 0 then 1 else ((((((x div 2) + x) div 2) * (x div 2)) mod 2) + 2)) + 2)
A332420: 3 4 5 4 4 4 4 5 4 4 5 4 4 4 4 5
(if x <= 0 then 1 else (x - ((((x div 2) + x) div (((x div 2) + 2) + 2)) mod 2)))
A024698: 1 1 2 3 3 4 5 6 7 8 9 10 11 12 13 15
((if x <= 0 then 2 else (((x + 2) * 2) - ((x - ((x div 2) mod 2)) div 2))) * 2)
A119622: 4 12 16 18 20 24 28 30 32 36 40
loop(\(x,i).((x * 2) * 2),(x div 2),(1 - ((((x mod 2) * 2) * 2) * 2)))
A140721: 1 ~7 4 ~28 16 ~112 64 ~448 256 ~1792 1024 ~7168 4096 ~28672 16384 ~114688
((x * 2) - (((x div 2) - (if ((x div 2) - 2) <= 0 then 1 else (2 + 2))) div 2))
A247422: 1 3 4 6 8 10 13 15 16 18 20 22 23 25 27 29
((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 1) + ((2 + 2) * 2))
A116667: 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9
(((x + 2) mod loop(\(x,i).(i * x),(x div (2 + 2)),1)) * ((2 + 2) * 2))
A165110: 0 0 0 0 0 0 0 0 0 8 0 8 16 24 32 40
((loop(\(x,i).(i * x),x,(2 + 1)) div ((x + 2) + 1)) mod ((2 + 2) * 2))
A213611: 1 0 1 3 2 5 0 0
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) + ((2 + 2) * 2))
A165247: 9 19 119 1119 11119 111119 1111119 11111119 111111119 1111111119 11111111119 111111111119 1111111111119 11111111111119 111111111111119 1111111111111119
loop(\(x,i).(x * x),1,((x - (((x div 2) mod 2) * 2)) mod ((2 + 2) * 2)))
A170985: 0 1 0 1 16 25 16 25 0 1 0 1 16 25 16 25
loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,((2 + 2) * 2))
A199758: 8 78 848 9318 102488 1127358 12400928 136410198 1500512168 16505633838 181561972208 1997181694278 21968998637048 241658985007518 2658248835082688 29240737185909558
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((2 + 2) * 2))
A139049: 8 9 11 13 17 19 23 25 29 35 37 43 47 49 53 59
((loop(\(x,i).(i * x),x,1) div ((2 + 2) * 2)) * (x div ((2 + 2) * 2)))
A029575: 0 0 0 0 0 0 0 0 5040 45360 453600 4989600 59875200 778377600 10897286400 163459296000
((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) div (2 - (x div ((2 + 2) * 2))))
A029370: 1 0 0 0 1 0 0 0 2 1 0 1 2 1 0 1
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),x,((2 + 2) * 2))
A199029: 8 98 1088 11978 131768 1449458 15944048 175384538 1929229928 21221529218 233436821408 2567805035498 28245855390488 310704409295378 3417748502249168 37595233524740858
loop(\(x,i).(((((x * 2) - 1) * x) div (x + 2)) + x),x,((2 + 2) * 2))
A295933: 8 20 55 160 475 1420 4255 12760 38275 114820 344455 1033360 3100075 9300220 27900655 83701960
(((if (x mod 2) <= 0 then (((2 - x) div (2 + 2)) - 1) else x) mod (2 + 2)) * 2)
A281961: 6 2 6 6 4 2 4
((x - ((0 - (if ((x div (2 + 2)) - 2) <= 0 then 2 else x)) div (2 + 2))) + 2)
A154660: 3 4 5 6 7 8
A108473: 3 4 5 6 7 8 9 10 11 12 13 14 17 19 20 21
(loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),x,(2 + 2)) div 2)
A037723: 2 8 35 141 566 2264 9059 36237 144950 579800 2319203 9276813 37107254 148429016 593716067 2374864269
(loop(\(x,i).(((x - 1) mod (2 + 2)) + ((x * 2) * 2)),x,(2 + 2)) div 2)
A037737: 2 9 39 156 626 2505 10023 40092 160370 641481 2565927 10263708 41054834 164219337 656877351 2627509404
(x - loop(\(x,i).((x + 2) * x),1,(x div (((2 - x) div (2 + 2)) - 2))))
A277425: 0 2 3 4 4 5 6 7 8 6 7 8 9 10 11 12
loop(\(x,i).(x * x),1,(x - ((x - (((x div 2) + x) div (2 + 2))) div 2)))
A065737: 0 1 1 4 9 9 16 25 36 36 49 64 64 81 100 100
((x + 2) div ((if ((2 - x) mod (2 + 2)) <= 0 then 1 else (x div (2 + 2))) + 2))
A308622: 1 1 1 2 2 2 2 3 2 2 4 3 2 3 5 3
((if ((x + 2) mod (2 + 2)) <= 0 then (x - 1) else 0) mod ((x div (2 + 2)) + 2))
A285720: 0 0 1 0 0 0 2 0 0 0 1 0 0 0 3 0
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * 2) div ((x mod (2 + 2)) + 2))
A029375: 1 0 0 0 1 0 0 0 1 1 1 0 2 1 1 0
(if x <= 0 then 1 else (((((((2 - x) div (2 + 1)) - 1) * x) div 2) div 2) mod 2))
A266623: 1 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1
((((loop(\(x,i).(i * 2),(((x - 1) div 2) div 2),1) + x) * 2) * 2) - 2)
A194282: 2 6 10 14 18 26 30 34 38 50 54 58 62 74 78 82
(if x <= 0 then 1 else (((1 - ((((x div 2) mod (2 + 1)) - x) div 2)) div 2) * 2))
A260984: 1 2 2 2 2 2 4 4 4 4 4 6 6 8 8 8
loop(\(x,i).(x * x),(2 + 1),(x - (((((2 + 1) * x) + 2) * 2) * 2)))
A017492: 16777216 16983563041 656100000000 7984925229121 53459728531456 248155780267521 899194740203776 2724905250390625 7213895789838336 17181861798319201 37588592026706176 76686282021340161 147578905600000000 270281038127131201 474373168346071296
(((loop(\(x,i).((((2 + 2) + 1) * x) - 1),(x + 1),x) div 2) div 2) + 2)
A277975: 1 6 56 431 2931 18556 112306 659181 3784181 21362306 119018556 656127931 3585815431 19454956056 104904174806 562667846681
((((loop(\(x,i).(x - (x div ((0 - 2) - 2))),x,2) + x) div 2) + 2) div 2)
A052839: 1 2 2 3 3 4 5 6 7 9 11 13 16 19 23 28
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * 2)
A001749: 8 12 20 28 44 52 68 76 92 116 124 148 164 172 188 212
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div 2) + 2) * 2)
A175216: 4 4 6 8 12 14 18 20 24 30 32 38 42 44 48 54
(if (x mod (2 + 2)) <= 0 then 0 else (1 - (((((x div 2) + x) div 2) mod 2) * 2)))
A075553: 0 1 ~1 1 0 ~1 1 ~1 0 1 ~1 1 0 ~1 1 ~1
((((((((if x <= 0 then 1 else x) mod 2) * 2) + x) + 1) * (x + 2)) * 2) * 2)
A098427: 24 48 48 120 120
(loop(\(x,i).(((((i + 2) + 2) * x) * 2) div (i + 1)),(x * 2),2) * 2)
A054322: 4 80 896 7680 56320 372736 2293760 13369344 74711040 403701760 2122317824 10905190400 54962159616 272461987840 1331439861760 6425271074816
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) * 2) * 2))
A017070: 0 262144 16777216 191102976 1073741824 4096000000 12230590464 30840979456 68719476736 139314069504 262144000000 464404086784 782757789696 1265319018496 1973822685184 2985984000000
((x - (if x <= 0 then 1 else (((x div ((2 + 2) + 1)) * (x div 2)) div 2))) mod 2)
A075532: 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1
((((if ((x mod ((2 + 2) + 1)) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + 2)
A100197: 2 2 3 3 4 3 4 4 5 5 5 5 5 6 6 6
(if x <= 0 then 1 else ((((x mod (1 - ((2 + 2) * 2))) * (x div 2)) mod 2) + 2))
A086410: 1 2 3 2 2 2 3 2 2 2 2 3 2 2 2 2
(((if ((x mod ((x mod 2) + 2)) mod 2) <= 0 then 1 else x) mod ((x div 2) + 2)) * 2)
A338507: 2 2 2 2 2 2 2 4 2 2 2 2 2 10 2 2
(1 - (((if (x mod 2) <= 0 then ((x * x) div 2) else 1) + ((x div 2) mod 2)) div 2))
A276168: 1 1 0 0 ~3 1 ~8 0 ~15 1
((loop(\(x,i).(((2 + 2) * 2) * ((x + 2) + 1)),2,(x mod 2)) + 2) + 2)
A203777: 220 284 220 284 220 284 220 284 220 284 220 284 220 284 220 284
(loop(\(x,i).(x * 2),x,(((((2 + 2) * 2) * 2) + (x mod 2)) - 2)) div 2)
A229462: 7 15 28 60 112 240
(loop(\(x,i).((x - (x div (0 - 2))) * 2),(x div 2),((x mod 2) + 2)) div 2)
A083658: 1 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645
((((x * x) * (x * x)) * (x * x)) mod loop(\(x,i).((x * x) + 2),2,2))
A070661: 0 1 26 7 30 7 30 1 20 11 30 1 20 11 26 11
((1 - (if (x mod ((x mod ((2 + 1) * 2)) + 2)) <= 0 then x else 0)) mod (2 + 2))
A101874: 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 2
(((x * x) div (if (x mod (2 + 1)) <= 0 then 2 else ((x div 2) + 1))) mod (2 + 2))
A091728: 0 1 2 0 1 0 2 0 0 0 0 0 0 0 0 0
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (2 + 2))
A159981: 1 1 2 1 2 2 0 1 2 2 0 2 0 0 0 1
loop(\(x,i).((x + 2) * 2),(((x + 1) div 2) div 2),((x + 1) mod (2 + 2)))
A200678: 1 2 3 4 6 8 10 12 16 20 24 28 36 44 52 60
((loop(\(x,i).i,((2 - x) mod (((2 + 1) * 2) + 1)),1) + x) mod (2 + 2))
A084352: 2 2 3 1 1 1 1 1 1 2 0 0 0 0 0 0
((if ((((x * 2) mod ((x div 2) + 2)) div 2) mod 2) <= 0 then 1 else x) mod (2 + 2))
A146289: 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 3
loop(\(x,i).(x - (((x + 2) * 2) div (1 - ((2 + 2) * 2)))),x,(2 + 2))
A020747: 4 6 9 13 18 24 32 42 55 72 94 122 158 204 263 339
loop(\(x,i).(x * x),1,(((x div (((x div 2) + 2) + 2)) + x) + (2 + 2)))
A319388: 16 25 36 49 64 81 100 144 169 196 225 256 289 324 361 400
(if (((((x mod (2 + 1)) - 1) * x) div 2) mod 2) <= 0 then 1 else (x div (2 + 2)))
A116679: 1 1 0 1 1 1 1 1 1 2 1 2 1 1 3 1
((if ((x + 1) mod (2 + 2)) <= 0 then ((x + 2) + 2) else 1) + (x div (2 + 2)))
A138996: 1 1 1 7 2 2 2 12 3 3 3 17 4 4 4 22
((if (x mod (((2 + 2) * 2) + 1)) <= 0 then x else (x + 1)) + (x div (2 + 2)))
A153287: 0 2 3 4 6 7 8 9 11 11 13 14 16 17 18 19
(((x + 2) * 2) div ((((if x <= 0 then 0 else 2) + 2) * 2) - (x div (2 + 2))))
A219610: 1 0 1 1 1 2 2 2 3 3 4 4 5 6 6 6
(((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) + x) + (x div (2 + 2)))
A188042: 1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 20
(((if ((x div (2 + 2)) - 1) <= 0 then 1 else (2 + 2)) + x) + (x div (2 + 2)))
A036796: 1 2 3 4 6 7 8 9 14 15 16 17 19 20 21 22
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) * (2 + 2))
A128650: 0 4 16 60 224 840 3168 12012 45760 175032 671840 2586584 9984576 38630800 149768640 581690700
loop(\(x,i).(((((2 + 2) + 1) * (x + 2)) div (i + 1)) + x),x,(2 + 2))
A166808: 4 19 54 124 250 460 790 1285 2000 3001 4366 6186 8566 11626 15502 20347
((loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + x) + (2 + 2))
A032583: 4 6 8 10 12 14 16 18 20 22 24 26 27 28 30 32
(loop(\(x,i).((((x - ((i mod 2) - 2)) * 2) * (2 + 1)) + 1),x,2) + 2)
A232956: 4 21 129 771 4629 27771 166629 999771 5998629 35991771 215950629 1295703771 7774222629 46645335771 279872014629 1679232087771
(if x <= 0 then 1 else (((((x div 2) mod ((x mod (2 + 1)) + 1)) + x) div 2) + 2))
A296020: 1 2 3 3 4 5 5 6 6 6 7 8 8 8 9 9
(if x <= 0 then 1 else ((x - ((((x + 2) div ((2 + 2) + 1)) - x) * 2)) * 2))
A315610: 1 6 12 14 20 26 32 38 40 46 52 58 64 66 72 78
(loop(\(x,i).(((x * 2) * (2 + 1)) + ((x - 1) mod (2 + 1))),x,2) div 2)
A037592: 1 6 39 235 1410 8463 50779 304674 1828047 10968283 65809698 394858191 2369149147 14214894882 85289369295 511736215771
(loop(\(x,i).((i + x) - (x div (((0 - 2) - 2) * (2 + 1)))),x,2) div 2)
A008762: 1 2 3 5 8 11 15 20 26 33 41 50 61 73 86 101
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 1) * x) + 2) * 2))
A016961: 1024 100000 1048576 5153632 17210368 45435424 102400000 205962976 380204032 656356768 1073741824 1680700000 2535525376 3707398432 5277319168 7339040224
(loop(\(x,i).((((i * 2) - 1) * x) * 2),x,(((2 + 1) * x) + 2)) div 2)
A023999: 1 5 48 660 11760 257040 6652800 198918720 6745939200 255826771200 10727081164800 492775291008000 24610605962342400 1327677426915840000 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * x),1,((((x * x) * (2 + 1)) + x) div 2)) div 2)
A116689: 0 1 21 105 325 780 1596 2926 4950 7875 11935 17391 24531 33670 45150 59340
((((x * x) * (x * x)) * (x * x)) mod loop(\(x,i).((x + 1) * x),2,2))
A070665: 0 1 22 15 22 1 36 7 22 15 22 1 36 1 28 15
(x mod ((if ((x - (x div ((x mod (2 + 2)) + 1))) mod 2) <= 0 then x else 2) + 2))
A342410: 0 1 2 3 4 1 6 7 8 1 2 3 12 1 14 15
(loop(\(x,i).(((x mod (((2 + 1) * 2) + 1)) * (2 + 1)) + 2),x,2) div 2)
A020806: 1 4 2 8 5 7 1 4 2 8 5 7 1 4 2 8
(loop(\(x,i).(x - (((x div 2) mod 2) - (((x * 2) + 1) * 2))),x,2) div 2)
A037591: 1 5 28 141 705 3528 17641 88205 441028 2205141 11025705 55128528 275642641 1378213205 6891066028 34455330141
(loop(\(x,i).((((x * 2) * 2) - ((i mod (2 + 1)) mod 2)) + 2),x,2) div 2)
A037590: 1 4 19 77 308 1235 4941 19764 79059 316237 1264948 5059795 20239181 80956724 323826899 1295307597
(if x <= 0 then 1 else (((x * 2) - ((((x div (2 + 2)) mod 2) - x) div 2)) * 2))
A315306: 1 6 10 16 20 24 30 34 40 46 50 56 60 64 70 74
((loop(\(x,i).(((i + 2) + 1) * x),x,(((x + 2) * 2) + x)) div 2) div 2)
A005460: 1 7 50 390 3360 31920 332640 3780000 46569600 618710400 8821612800 134399865600 2179457280000 37486665216000 681734237184000 13071512982528000
(if x <= 0 then 1 else ((((((x mod (2 + 1)) * (x div 2)) mod 2) + x) div 2) + 2))
A229790: 1 2 3 3 4 4 5 6 6 6 7 7 8 8 9 9
((loop(\(x,i).(((2 - (x div (2 + 1))) mod (2 + 2)) + x),2,x) div 2) div 2)
A029128: 1 1 1 1 1 1 1 1 2 3 3 4 4 4 4 4
((((loop(\(x,i).(x * x),(x - 1),(0 - 2)) div (x + 2)) + x) + 2) + 2)
A002887: 3 4 7 10 50
(loop(\(x,i).((((i * x) div ((2 + 2) + 1)) + x) + (x div 2)),x,2) div 2)
A210517: 1 1 2 5 11 28 76
(((((if (2 - x) <= 0 then x else 0) + 1) + (((x * x) div 2) * x)) div 2) * 2)
A178465: 0 0 6 16 36 66 114 176 264 370 510 672 876 1106 1386 1696
(2 - ((x + 1) mod (((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)) - 2)))
A243160: 3 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2
((loop(\(x,i).(((((i mod 2) + 2) + 2) * x) div 2),x,1) * (x + 2)) div 2)
A026955: 1 3 8 25 60 175 400 1125 2500 6875 15000 40625 87500 234375 500000 1328125
(((loop(\(x,i).((i + 2) * x),(x + 1),x) * (x + 1)) div (x + 2)) div 2)
A055602: 0 4 45 432 4200 43200 476280 5644800 71850240 979776000 14270256000 221298739200 3642807168000 63465795993600 1167099373440000 22596613079040000
(((if x <= 0 then 1 else (((x div 2) * 2) * 2)) * (2 + 1)) mod ((x + 2) + 2))
A254280: 3 0 0 5 0 6
(loop(\(x,i).(x * 2),x,2) div (((x + 2) * (x + 2)) * ((x + 2) + 2)))
A326596: 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 11
((if x <= 0 then 1 else ((x * 2) * 2)) - (((x * x) - 2) div ((x + 2) + 2)))
A257984: 2 5 8 11 15 18 21 24 27 30 33 37 40 43 46 49
((((if (x mod ((x mod 2) + 2)) <= 0 then 2 else 1) + 1) * x) div ((x + 2) + 2))
A238529: 0 0 1 1 1 1 1 1 2 2 2 1 2 1 2 2
loop(\(x,i).((x + 1) div (2 - ((x mod (2 + 1)) div 2))),x,((x + 2) + 2))
A255524: 4 6 2 3 3 3 2 3 3
loop(\(x,i).((((i * 2) + 1) * x) * ((i * 2) + 1)),x,((x + 2) * 2))
A003955: 4 54 1800 110250 10716300 1512784350 292183491600 73958946311250 23749039426612500 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((x + 2) * 2))
A078916: 4 7 11 15 21 25 31 35 41 49 53 61 67 71 77 85
(((x * 2) * 2) div ((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) + 2))
A321857: 0 1 2 2 2 2 3 3 3 3 2 2 3 3 3 3
(2 - ((if (x mod ((2 + 2) + 1)) <= 0 then 1 else ((x * x) div (x + 2))) mod 2))
A175077: 1 2 1 1 2 1 2 1 2 1 1 1 2 1 2 1
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x - 2)) div 2)
A246434: ~1 ~1 0 7 42 198 858 3575 14586 58786 235144 936054 3714500 14709420 58169070 229824855
loop(\(x,i).(((((2 + 2) mod (x + 1)) + 1) * (x + 1)) + 1),(x * 2),2)
A176941: 2 41 1061
((if x <= 0 then 1 else (((0 - 2) mod ((x div (2 + 2)) + 1)) + (x * 2))) + 2)
A135667: 3 4 6 8 10 12 14 16 19 21 23 25 28 30 32 34
(loop(\(x,i).(x - ((x div (((2 + 1) * 2) + 1)) - 1)),2,(x * 2)) + 2)
A115683-A046349: 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27
(if x <= 0 then 1 else (((((((x + 1) div 2) div 2) div 2) mod 2) + (x * 2)) * 2))
A311178: 1 4 8 12 16 20 24 30 34 38 42 46 50 54 58 60
(if x <= 0 then 1 else (((x div (((x div (2 + 2)) + 2) + 2)) + (x * 2)) * 2))
A311344: 1 4 8 12 16 22 26 30 34 38 42 46 50 54 60 64
(if x <= 0 then 2 else (x - (((((x div 2) + x) div (2 + 2)) - (x * 2)) * 2)))
A188434: 2 5 10 13 18 23 26 31 34 39 44 47 52 57 60 65
(if x <= 0 then 1 else ((((((x div (2 + 2)) mod 2) + x) div 2) + (x * 2)) * 2))
A310419: 1 4 10 14 20 26 30 36 40 44 50 54 60 66 70 76
((if x <= 0 then 1 else ((x * 2) div (((2 + 1) * 2) + 1))) + ((x * 2) * 2))
A311441: 1 4 8 12 17 21 25 30 34 38 42 47 51 55 60 64
(loop(\(x,i).((x div 2) + 2),(x - ((2 + 2) * 2)),1) + ((x * 2) * 2))
A314671: 1 5 9 13 17 21 25 29 33 38 43 47 51 55 59 63
((if x <= 0 then 1 else (((x mod 2) + x) div ((2 + 2) + 1))) + ((x * 2) * 2))
A311255: 1 4 8 12 16 21 25 29 33 38 42 46 50 54 58 63
((x div ((2 - ((x div 2) mod 2)) + 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A058759: 1 4 8 13
A311847-A311846: 1 4 8 13 17 21 26 30 34 38 43 47 51 55 60 65
(((((x mod (2 + 1)) div 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312941: 1 4 9 13 18 23 27 31 36 40 45 50 54 58 63 67
(((((x div (2 + 2)) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312943: 1 4 9 13 18 23 27 32 36 40 45 49 54 59 63 68
(x - (((((x div 2) mod 2) - x) div 2) - (if x <= 0 then 1 else ((x * 2) * 2))))
A301708: 1 6 11 16 22 28 33 38 44 50 55 60 66 72 77 82
((if (x - 1) <= 0 then 1 else ((((2 + 1) * x) - 2) * 2)) + ((x * 2) * 2))
A227586: 1 5 16 26 36 46 56 66 76 86 96 106 116 126 136 146
((if x <= 0 then 1 else ((((x - 1) div 2) * (x div 2)) - 2)) + ((x * 2) * 2))
A078476: 1 2 6 11 16 22 28 35 42 50 58 67 76 86 96 107
loop(\(x,i).(x * 2),((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)),2)
A086117: 2 2 4 4 16 16 32 32 256 256 512 512 2048 2048 4096 4096
(((x div 2) - (if x <= 0 then 1 else (2 div (((2 + 2) * 2) - (x div 2))))) + 2)
A206916-A113609: 1 2 3 3 4 4 5 5 6 6 7 7 7 7 7 7
((if ((x + 2) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1) - ((x div 2) mod 2))
A128582: 1 1 0 0 1 2 0 0 1 1 0 0 2 1 0 0
((if (x mod 2) <= 0 then (((((2 + 2) + 1) * 2) * 2) + x) else (x div 2)) div 2)
A196081: 10 0 11 0 12 1 13 1 14 2 15 2 16 3 17 3
((x + 1) div ((loop(\(x,i).i,(x - ((2 + 2) * 2)),1) + (x mod 2)) + 2))
A031284: 0 0 1 1 1 1 2 2 3 2 2 2 2 1 1 1
(loop(\(x,i).(((x * 2) + 1) * (2 + 1)),((x div 2) + 1),(x mod 2)) div 2)
A026534: 1 4 10 28 64 172 388 1036 2332 6220 13996 37324 83980 223948 503884 1343692
((2 + 1) - (if (((x div (2 + 1)) + 1) mod (2 + 2)) <= 0 then (x mod 2) else 2))
A171457-A039735-A008406: 1 1 1 1 1 1 1 1 1 2 3 2 1 1 1 1
((if ((x div 2) mod (((x div 2) mod 2) + 2)) <= 0 then 2 else 1) mod ((x mod 2) + 2))
A091297: 0 2 1 1 0 2 0 2 0 2 1 1 0 2 1 1
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x div 2) + 1),((x mod 2) + 2))
A181639: 20 30 200 300 2000 3000 20000 30000 200000 300000 2000000 3000000 20000000 30000000
loop(\(x,i).((((i * 2) + 1) * x) * 2),(x * 2),(1 - ((x mod 2) * 2)))
A009564: 1 ~60 15120 ~8648640 8821612800 ~14079294028800 32382376266240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x mod 2) + x) * 2),(x - 1),1) + x) + ((x mod 2) * 2))
A231407: 1 4 6
A007977: 1 4 6 13 20 39 70
(if x <= 0 then 1 else (((((((2 + 2) * (2 + 1)) + 1) * x) * x) div 2) + 2))
A299289: 1 8 28 60 106 164 236 320 418 528 652 788 938 1100 1276 1464
(loop(\(x,i).(((i - 1) - (((x div (2 + 2)) + 1) div 2)) + x),x,2) - 2)
A194176: 0 0 1 3 5 8 12 16 21 26 31 37 43 49 56 63
(loop(\(x,i).((((((2 + 1) * x) + 2) * x) div (i + 2)) + x),x,2) div 2)
A119669: 1 3 23 695
(compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),x) + 2)
A005236: 2 3 4 5 6 8 9 10 12 14 17 18 20 24 26 28
(compr(\x.((x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) - 1),x) + 2)
A028728: 2 3 5 7 8 11 12 13 14
A028743: 2 3 5 7 8 11 12 13 14 17 18 20 22 23 26 27
(loop(\(x,i).(((x + 2) + 2) + 1),((x div ((2 + 2) + 1)) - 1),x) * 2)
A030143: 0 2 4 6 8 10 12 14 16 18 30 32 34 36 38 50
loop(\(x,i).((((x * 2) * (2 + 1)) + ((x + 1) mod (2 + 1))) + 1),x,2)
A037634: 2 13 81 488 2929 17577 105464 632785 3796713 22780280 136681681 820090089 4920540536 29523243217 177139459305 1062836755832
loop(\(x,i).(((((x * 2) * 2) * 2) + ((i + 1) mod (2 + 1))) + 1),x,2)
A037643: 2 19 153 1226 9811 78489 627914 5023315 40186521 321492170 2571937363 20575498905 164603991242 1316831929939 10534655439513 84277243516106
loop(\(x,i).(((((2 + 2) + 1) * x) + ((i + 1) mod (2 + 1))) + 1),x,2)
A037640: 2 13 66 332 1663 8316 41582 207913 1039566 5197832 25989163 129945816 649729082 3248645413 16243227066 81216135332
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + (x mod (2 + 1))) + 1),x,2)
A037644: 2 21 190 1712 15411 138700 1248302 11234721 101112490 910012412 8190111711 73711005400 663399048602 5970591437421 53735322936790 483617906431112
loop(\(x,i).(((((x * 2) * 2) * 2) + ((1 - i) mod (2 + 1))) + 1),x,2)
A037636: 2 17 139 1114 8913 71307 570458 4563665 36509323 292074586 2336596689 18692773515 149542188122 1196337504977 9570700039819 76565600318554
(compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),x) + 2)
A277992: 2 3 4 5 7 8 10 11 13 16 17 20 22 23 25 28
(compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),x) div 2)
A075518: 0 0 1 1 2 3 4 4 5 7 7 9 10 10 11 13
(loop(\(x,i).((x + 1) * x),1,((((x + 2) * (x + 1)) - 1) * x)) div 2)
A055659: 0 15 253 1653 6786 21115 54615 123753 253828 481671 858705 1454365 2359878 3692403 5599531 8264145
((loop(\(x,i).((i + x) - (x div ((2 + 2) * 2))),(x - 1),1) + x) div 2)
A215260: 0 1 2 3 5 8 10 13 16 19 23 26 30 33 37 41
((loop(\(x,i).(((((x - 1) div 2) div 2) * 2) + i),(x - 1),1) + x) + 2)
A308168: 3 4 5 7 9 11 13 17 19 23 25 29 31 35 37 41
(if x <= 0 then 1 else (x - ((((x - 1) mod (((2 + 1) * 2) + 1)) - x) div 2)))
A210585: 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 23
(((if ((x + 2) mod (2 - (x mod ((0 - 2) - 2)))) <= 0 then 2 else 1) * x) + 2)
A064919: 2 3 6 5 10 7 14 16 18 11 22 13 26 28 30 17
(((if (2 - x) <= 0 then (2 - ((2 - x) div ((2 + 2) * 2))) else 1) + x) + 2)
A325209: 3 4 6 8 9 10 11 12 13 14 15 17 18 19 20 21
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) + 1) * x) + 2))
A016877: 32 16807 248832 1419857 5153632 14348907 33554432 69343957 130691232 229345007 380204032 601692057 916132832 1350125107 1934917632 2706784157
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) + 1) * x) * 2))
A017273: 0 100000 3200000 24300000 102400000 312500000 777600000 1680700000 3276800000 5904900000 10000000000 16105100000 24883200000 37129300000 53782400000 75937500000
loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) - ((x div 2) mod 2)) + 1),x,2)
A037716: 2 8 33 135 542 2168 8673 34695 138782 555128 2220513 8882055 35528222 142112888 568451553 2273806215
((((x - ((if x <= 0 then 1 else x) div ((0 - 2) - 1))) * (2 + 1)) + x) + 2)
A187573: 5 9 13 17 24 28 32 39 43 47 54 58 62 69 73 77
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((x + 1) mod (2 + 1))),x,2)
A037518: 2 18 163 1469 13221 118990 1070912 9638208 86743873 780694859 7026253731 63236283580 569126552222 5122138969998 46099250729983 414893256569849
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((x - 1) mod (2 + 1))),x,2)
A037526: 2 19 171 1541 13870 124830 1123472 10111249 91001241 819011171 7371100540 66339904860 597059143742 5373532293679 48361790643111 435256115788001
loop(\(x,i).((((((2 + 1) * i) - 2) * x) div (i + 1)) * (2 + 1)),x,2)
A155579: 2 3 12 63 378 2457 16848 120042 880308 6602310 50417640 390736710 3065780340 24307258410 194458067280 1567818167445
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((i - 1) mod (2 + 1))),x,2)
A037519: 2 20 201 2012 20120 201201 2012012 20120120 201201201 2012012012 20120120120 201201201201 2012012012012 20120120120120 201201201201201 2012012012012012
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((i - 1) mod (2 + 1))),x,2)
A037516: 2 14 99 695 4865 34056 238394 1668758 11681307 81769151 572384057 4006688400 28046818802 196327731614 1374294121299 9620058849095
loop(\(x,i).(x - (1 - (((((x div 2) + x) + 1) * 2) * (2 + 1)))),x,2)
A229975: 2 25 252 2525 25252 252525 2525252 25252525 252525252 2525252525 25252525252 252525252525 2525252525252 25252525252525 252525252525252 2525252525252525
(((((if (x - 2) <= 0 then 1 else ((2 + 2) * 2)) + 2) * (2 + 1)) + x) + 2)
A306583: 11 12 13 35 36 37 38 39 40 41 42 43 44 45 46 47
(if x <= 0 then 1 else ((((x - ((x div (2 + 2)) mod 2)) div (2 + 1)) + x) + 2))
A225647: 1 3 4 6 7
A188435: 1 3 4 6 7 8 9 11 12 14 15 16 17 19 20 21
((loop(\(x,i).((x * 2) * 2),x,(2 + 2)) - 1) div (((2 + 1) * x) + 2))
A191638: 1 3 7 23 73 240 819 2849 10082 36157 131071 479349 1766022 6547206 24403223 91382282
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((2 + 1) * x) + 2))
A016794: 64 15625 262144 1771561 7529536 24137569 64000000 148035889 308915776 594823321 1073741824 1838265625 3010936384 4750104241 7256313856 10779215329
loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) - (i mod (2 + 1))),x,2)
A037527: 2 21 210 2102 21021 210210 2102102 21021021 210210210 2102102102 21021021021 210210210210 2102102102102 21021021021021 210210210210210 2102102102102102
loop(\(x,i).((2 - (x - (((x * 2) * 2) * 2))) - (i mod (2 + 1))),x,2)
A037524: 2 15 105 737 5160 36120 252842 1769895 12389265 86724857 607074000 4249518000 29746626002 208226382015 1457584674105 10203092718737
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (((x * 2) + 1) * x)) * 2)
A003222: 2 10 108 982 8120 65426 524132 4194094 33554160 268435114 2147483228 17179868678 137438952872 1099511627074 8796093021396 70368744176734
(if x <= 0 then 1 else ((((x * x) div (((x div (2 + 1)) + x) + 1)) + x) + 2))
A187685: 1 3 5 6 8 10 12 13 15 17 19 21 22 24 26 27
((loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * (i + 1)),x,1) * x) div 2)
A065087: 0 0 3 12 90 660 5565 51912 533988 6007320 73422855 969181620 13744757598 208462156812 3367465610145 57727981888080
loop(\(x,i).((((i div (((x div 2) mod (2 + 1)) + 1)) mod 2) + x) + 1),x,2)
A134623: 2 3 5 7 8 9 11 12 13 15 17 19 20 21 23 25
((loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) + x) * 2),x,1) * x) div 2)
A085708: 0 7 140 2100 28000 350000 4200000 49000000 560000000 6300000000 70000000000 770000000000 8400000000000 91000000000000 980000000000000 10500000000000000
(compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x) + 2)
A055600: 2 3 4 5 7 9 10 13 17 19 25 28 33 37 49 55
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x + 1),x) div 2)
A002737: 0 5 35 189 924 4290 19305 85085 369512 1587222 6760390 28601650 120349800 504131940 2103781365 8751023325
(loop(\(x,i).((((x * 2) * 2) * (2 + 1)) + 1),2,((x + 1) * x)) - 2)
A001538: 11 299 875 1739 2891 4331 6059 8075 10379 12971 15851 19019 22475 26219 30251 34571
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),2,((x + 1) * x)) - 2)
A001535: 9 209 609 1209 2009 3009 4209 5609 7209 9009 11009 13209 15609 18209 21009 24009
((loop(\(x,i).((x - i) * 2),x,(x * 2)) + 1) + (((x + 1) * x) div 2))
A104747: 1 4 12 33 87 222 550 1327 3129 7236 16464 36957 82027 180346 393354 852123
(((loop(\(x,i).((((x + 2) + 2) * x) + 1),2,x) div (x + 1)) + x) div 2)
A117561: 3 15 38 73 124 194 286 403 548 724 934 1181 1468 1798 2174 2599
((loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x) * 2)
A191256-A067368: 2 6 10 14 16 18 22 26 30 34 38 42 46 48 50 54
(((x * 2) * 2) - ((((x div (2 + 2)) mod 2) - (if x <= 0 then 1 else x)) div 2))
A314829: 1 5 9 14 18 22 27 31 36 41 45 50 54 58 63 67
(((((2 + 1) * x) + 1) * ((2 + 2) + 1)) + ((if x <= 0 then 1 else x) mod 2))
A063126: 6 21 35 51 65 81 95 111 125 141 155 171 185 201 215 231
((((((2 + 2) + 1) * x) + 2) * (2 + 1)) + ((if x <= 0 then 1 else x) mod 2))
A063157: 7 22 36 52 66 82 96 112 126 142 156 172 186 202 216 232
(((((2 + 1) * 2) * (2 + 1)) + 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A040343: 19 19 38 19 38 19 38 19 38 19 38 19 38 19 38 19
(((((2 + 2) * 2) * (2 + 1)) - 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A040507: 23 23 46 23 46 23 46 23 46 23 46 23 46 23 46 23
((((((2 + 2) * 2) * 2) * 2) - 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A040931: 31 31 62 31 62 31 62 31 62 31 62 31 62 31 62 31
(loop(\(x,i).(((((x * x) div 2) - 1) div ((2 + 2) + 1)) + 1),2,x) div 2)
A026812: 0 0 0 0 0 0 1 1 2 3 5 7 11 14 20 26
(((x div ((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 2 else 1) + 2)) + x) + 2)
A080919: 2 3 4 5 7 8 9 10 12 13 14 15 17 18 20 22
((((if ((x div 2) - 2) <= 0 then 1 else ((2 + 2) * (2 + 1))) * 2) + x) + 2)
A288658: 4 5 6 7 8 9 32 33 34 35 36 37 38 39 40 41
(loop(\(x,i).(((((2 + 2) * (x + 1)) + (i - 1)) * x) + 1),2,x) div 2)
A094081: 5 185 1313 4925 13325 29585 57545 101813 167765 261545 390065 561005 782813 1064705 1416665 1849445
((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + x) + 2)
A100710: 2 5 4 11 6 9 8 23 10 13 12 19 14 17 16 47
(((1 - (loop(\(x,i).(((i * i) div (0 - 2)) + x),x,1) div 2)) + x) div 2)
A175826: 0 1 2 4 6 10 15 22 30 41 54 70 88 110 135 164
((((((x * x) - (if ((x div 2) - 2) <= 0 then 1 else 2)) div 2) div 2) + x) + 2)
A072441: 1 3 4 7 9 13 16 20 25 30 36 42 49 56 64 72
(((if (x - 2) <= 0 then 1 else ((x + 2) div ((x div (2 + 2)) + 2))) + x) mod 2)
A129372: 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 0
((if ((2 - x) + 2) <= 0 then 2 else 1) - ((((x div (2 + 2)) mod 2) - x) div 2))
A317137: 1 2 2 3 4 4 5 5 6 7 7 8 8 8 9 9
((((loop(\(x,i).(((i * 2) - 1) * x),x,(x + 2)) div 2) div 2) + x) + 2)
A201363: 2 3 7
A281529: 2 3 7 23 163
loop(\(x,i).(((2 - x) mod ((2 + 2) + 1)) + (((x * 2) * 2) * 2)),x,2)
A037720: 2 16 129 1035 8282 66256 530049 4240395 33923162 271385296 2171082369 17368658955 138949271642 1111594173136 8892753385089 71142027080715
loop(\(x,i).(x * x),1,(1 - ((((x mod ((x div 2) + 2)) div 2) - x) div 2)))
A246934: 1 4 4 9 9 16 16 16 25 25 36 36 36 49 49 49
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) - ((x div 2) mod 2)) + 2),x,2)
A037558: 2 19 172 1550 13951 125560 1130042 10170379 91533412 823800710 7414206391 66727857520 600550717682 5404956459139 48644608132252 437801473190270
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - ((x div 2) mod 2)) + 2),x,2)
A024763: 2 21 212 2122
A037575: 2 21 212 2122 21221 212212 2122122 21221221 212212212 2122122122 21221221221 212212212212 2122122122122 21221221221221 212212212212212 2122122122122122
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + ((i + 2) mod (2 + 2))),x,2)
A037750: 2 23 230 2301 23012 230123 2301230 23012301 230123012 2301230123 23012301230 230123012301 2301230123012 23012301230123 230123012301230 2301230123012301
(((if x <= 0 then 2 else (((x - ((2 - x) div 2)) * x) + (2 + 2))) + x) * 2)
A099956: 4 12 20 38 56 88
(if x <= 0 then 1 else (((x div (((2 + 2) * 2) - (x div (2 + 2)))) + x) * 2))
A241071: 1 2 4 6 8 10 12
A340521-A049225-A002202-A002174: 1 2 4 6 8 10 12 16 18 20 22 24 28 30 32 36
((((x + 1) mod (if (x mod ((2 + 1) * 2)) <= 0 then (x - 2) else 2)) + x) + 2)
A112276: 1 3 5 5 7 7 11 9 11 11 13 13 17 15 17 17
(((((0 - 2) - 2) * (2 + 1)) - 1) mod loop(\(x,i).((x * 2) * 2),x,2))
A267802: 1 3 19 115 499 2035 8179 32755 131059 524275 2097139 8388595 33554419 134217715 536870899 2147483635
(loop(\(x,i).((x * 2) - 1),(x - 1),((((2 + 1) * x) + 2) * x)) div 2)
A183264: 0 2 15 64 220 672 1904 5120 13248 33280 81664 196608 465920 1089536 2519040 5767168
(compr(\x.(loop(\(x,i).((i + 2) * x),((x + 1) div 2),1) mod (x + 2)),x) + 2)
A176423: 3 6 9 10 12 14 15 16 18 20 21 22 24 25 26 27
(compr(\x.(x - (loop(\(x,i).((0 - x) * 2),x,(2 + 2)) mod (x + 2))),x) + 2)
A116974: 2 3 5 6 7 11 13 17 19 23 29 31 37 41 43 47
(loop(\(x,i).((((x mod 2) * x) + 1) * (x + 2)),1,((x + 2) * x)) div 2)
A094260: 1 10 5 136 13 666 25 2080 41 5050 61 10440 85 19306 113 32896
(loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),2,((x + 2) * x)) + 2)
A158490: 90 390 890 1590 2490 3590 4890 6390 8090 9990 12090 14390 16890 19590 22490 25590
loop(\(x,i).(((2 + 2) * (x - 1)) * (2 + 1)),2,(((x + 2) * x) + 2))
A158543: 132 564 1284 2292 3588 5172 7044 9204 11652 14388 17412 20724 24324 28212 32388 36852
(compr(\x.(1 - (loop(\(x,i).((x * x) * (2 + 1)),2,x) mod (x + 2))),x) + 2)
A059485: 5 7 10 11 13 14 15 17 19 20 21 22 23 25 26 28
(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) * (((x mod 2) * x) + 2))
A297439: 4 9 8 30 16 84 32 216 64 528 128 1248 256 2880 512 6528
(loop(\(x,i).(((x - 1) * x) div (i + 1)),2,((x + 2) + 1)) * (x + 2))
A027789: 4 30 120 350 840 1764 3360 5940 9900 15730 24024 35490 50960 71400 97920 131784
(if x <= 0 then 1 else (((((x + 2) + 2) + 1) * ((x * 2) - 1)) div (x + 2)))
A286808: 1 2 5 8 10 12 15 17 19 21 23 25 27 30 32 34
compr(\x.(2 - (loop(\(x,i).((x + 1) * 2),x,2) mod ((x div 2) + 1))),(x + 2))
A037263: 7 8 10 12 13 14 15 16 18 20 21 22 23 24 25 27
(loop(\(x,i).((x mod ((((x mod 2) * 2) * 2) + 1)) - 1),x,1) mod (x + 2))
A264756: 1 0 3 3 2 6 3 2 9 3 2 12 3 2 15 3
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (x + 2))
A067770: 1 1 2 0 2 0 4 6 0 0 8 0 0 10 8 0
(loop(\(x,i).((x + 1) * 2),(x div (((x mod 2) + 2) + 2)),2) div (x + 2))
A029377: 1 0 0 0 1 0 0 0 1 0 1 1 2 0 1 1
(x div ((x + 2) - (loop(\(x,i).((x * x) + 1),2,(2 + 2)) mod (x + 2))))
A228488: 0 1 1 0 1 1 1 1 0 1 1 1 3 1 1 0
((loop(\(x,i).((((i + 2) + 1) * i) + x),(x + 1),x) + 2) * (x + 2))
A200887: 12 51 144 325 636 1127 1856 2889 4300 6171 8592 11661 15484 20175 25856 32657
(loop(\(x,i).((((x * 2) div ((2 + 2) + 1)) + x) + 2),x,2) div (x + 2))
A134816: 1 1 1 2 2 3 4 5 7 9 12 16 21 28 37 49
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (x + 2))
A004650: 0 0 1 2 5 6 1 1 3 7 7 11 13 13 15 2
((if (x mod (2 + 2)) <= 0 then ((x div 2) + 1) else x) + ((x mod 2) * (x + 2)))
A065171: 1 4 2 8 3 12 6 16 5 20 10 24 7 28 14 32
((((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + 2) * x) div (x + 2))
A024708: 0 1 1 1 2 2 2 2 2 2 3 2 2 2 2 2
(loop(\(x,i).((i + x) - (x div ((2 + 2) * (2 + 1)))),2,x) + (x + 2))
A099047-A084926: 5 7 9 11 13 15 17 19 21 23 25 26 27 29 31 33
((((loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)) * 2) + x) div (x + 2))
A340594: 0 0 1 0 1 0 2 2 1 0 1 0 1 1 2 0
((((((x div 2) * x) mod 2) + x) - 1) + (if (x - 2) <= 0 then 1 else (x - 2)))
A007818: 0 1 2 4 5 7 9 12 13 15 17 20 21 23 25 28
((if ((x div (2 + 2)) - ((1 - x) mod (2 + 1))) <= 0 then 1 else 0) + (x * 2))
A190061: 1 3 5 7 8 11 13 14 17 18 20 23 24 26 28 30
(loop(\(x,i).(((x mod 2) * 2) + 1),(x div ((2 + 2) + 1)),0) + (x * 2))
A241176: 0 2 4 6 8 11 13 15 17 19 23 25 27 29 31 33
(loop(\(x,i).(((((2 + 2) + 1) * i) * i) + (x * 2)),x,0) - (x * 2))
A169832: 0 3 26 99 282 695 1578 3411 7154 14727 29970 60563 121866 244599 490202 981555
((if (2 - x) <= 0 then ((((x + 2) * x) - 1) div (2 + 1)) else 1) + (x * 2))
A240443: 1 3 6 10 15 21 27 34 42 50
((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + (x * 2))
A133484: 2 3 5 8 9 12 14 15
A181155: 2 3 5 8 9 12 14 15 17 20 22 23 26 27 29 32
((if (((x + 2) mod ((x * 2) - 1)) mod (2 + 1)) <= 0 then 2 else 1) + (x * 2))
A185392: 2 4 5 8 10 11 13 16 17 19 22 23 25 28 29 31
((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 2 else 1) + (x * 2))
A287658: 1 4 5 7 10 11 14 15 17 20 21 23 26 27 30 31
((if (((x + 1) * x) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1) + (x * 2))
A285253: 2 3 5 8 9 11 13 15 18 19 21 24 26 27 29 32
((if (((x * x) mod (((2 + 1) * 2) + 1)) - 2) <= 0 then 2 else 1) + (x * 2))
A286687: 2 4 5 8 10 11 14 16 18 19 22 24 25 28 30 32
loop(\(x,i).(((((x * x) * (x + 2)) + 1) * x) + 1),(2 + 1),(x * 2))
A092675: 881 4611686018427387903 4611686018427387903
(((((x * x) * (2 + 1)) div (x + 2)) div 2) + (if x <= 0 then 1 else (x * 2)))
A248184: 1 2 5 8 12 15 18 22 25 29 32 35 39 42 46 49
(((((x * 2) div ((2 + 2) + 1)) + x) div 2) + (if x <= 0 then 1 else (x * 2)))
A126281: 1 2 5 8 10 13 16 18 21 24 27 29 32 35 37 40
((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + (x * 2))
A231407: 1 4 6
A133483: 1 4 6 7 10 11 13 16
A026147: 1 4 6 7 10 11 13 16 18 19 21 24 25 28 30 31
((if (((x + 2) mod ((x * 2) - 1)) mod (2 + 1)) <= 0 then 1 else 2) + (x * 2))
A208327: 1 3 6 7 9 12 14 15 18 20 21 24 26 27 30 32
((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 1 else 2) + (x * 2))
A287659: 2 3 6 8 9 12 13 16 18 19 22 24 25 28 29 32
((if (((x + 1) * x) mod ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) + (x * 2))
A231407: 1 4 6
A285254: 1 4 6 7 10 12 14 16 17 20 22 23 25 28 30 31
((if (((x * x) mod (((2 + 1) * 2) + 1)) - 2) <= 0 then 1 else 2) + (x * 2))
A286686: 1 3 6 7 9 12 13 15 17 20 21 23 26 27 29 31
(if x <= 0 then 1 else compr(\x.(((x mod ((2 - (x mod 2)) + 2)) + 1) div 2),(x * 2)))
A313232: 1 4 9 15 20 24 28 33 39 44 48 52 57 63 68 72
(if x <= 0 then 1 else (((x div (((2 - (x mod 2)) * 2) * 2)) mod 2) + (x * 2)))
A226722: 1 2 4 6 8 11 12 15 17 18 21 22 25 27 29 31
((loop(\(x,i).(((x * x) * (x + 1)) + 1),(x * 2),2) div 2) - (x * 2))
A210847: 1 1181 4611686018427387903
loop(\(x,i).((((x * x) * (2 + 1)) - x) div 2),1,((x div 2) + (x * 2)))
A117793: 0 5 35 70 145 210 330 425 590 715 925 1080 1335 1520 1820 2035
(loop(\(x,i).((x div ((i + 2) + 1)) + ((2 + 1) * x)),x,2) + (x * 2))
A072842: 2 8 23 66 196
(((if (((x * 2) mod ((x div 2) + 1)) - 1) <= 0 then 2 else 1) + x) + (x * 2))
A190057: 2 5 8 11 13 17 20 22 26 28 31 34 37 40 43 46
(((if ((x + 2) mod ((x mod (2 + 2)) + 1)) <= 0 then 2 else 1) + x) + (x * 2))
A287522: 2 4 7 10 14 16 19 22 26 28 32 34 38 40 43 46
(((if ((x div ((x mod (2 + 2)) + 1)) - 2) <= 0 then 2 else 1) + x) + (x * 2))
A190305: 2 5 8 11 13 17 20 23 25 28 31 35 37 40 43 46
(((if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then 2 else 1) + x) + (x * 2))
A189386: 2 5 8 11 14 17 20 23 26 29 32 34 38 41 44 47
(((if ((x div ((0 - 2) - 2)) mod (2 + 2)) <= 0 then 1 else 2) + x) + (x * 2))
A308010: 1 5 8 11 14 17 20 23 26 29 32 35 38 40 43 46
(((if (x mod (2 + 1)) <= 0 then (((x div 2) + 2) * 2) else 1) + 1) - (x div 2))
A276524: 5 2 1 6 0
((if (x mod 2) <= 0 then ((((2 + 2) * 2) + 1) * (2 + 1)) else 1) + (x div 2))
A059952: 27 1 28 2 29 3 30 4 31 5 32 6 33 7 34 8
(if x <= 0 then 1 else (((((x mod 2) + x) + 2) * ((2 + 2) + 1)) + (x div 2)))
A118865-A118608: 1 20 21 31 32 42 43 53 54 64 65 75 76 86 87 97
((if (x mod 2) <= 0 then 1 else ((((2 + 2) * 2) + 1) * (2 + 1))) + (x div 2))
A059953: 1 27 2 28 3 29 4 30 5 31 6 32 7 33 8 34
(((if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then 0 else x) + 1) + (x div 2))
A026206-A026198-A026182: 1 2 4 5 3 8 10 11 13 14 6 17 7 20 22 23
(((loop(\(x,i).(((x + 2) + 2) * 2),(x - 2),1) * x) + 1) * (x div 2))
A121147: 0 0 3 31 226
((loop(\(x,i).((((x div 2) + i) div (2 + 2)) + x),x,2) div 2) + (x div 2))
A161254: 1 1 2 2 4 4 6 7 10 11 14 17 21 24 29 34
(((if ((x + 1) mod ((x div (2 + 1)) + 2)) <= 0 then 2 else 1) + x) + (x div 2))
A285970: 1 3 4 5 7 9 10 12 13 15 16 17 19 20 22 23
(((if (((x div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + x) + (x div 2))
A187335: 2 3 5 6 8 9 11 12 13 14 17 18 20 21 23 24
(((if ((x + 2) mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else 2) + x) + (x div 2))
A189669: 1 3 5 6 7 9 11 12 13 15 16 18 19 21 23 24
((if (((x + 1) mod ((2 + 2) * 2)) - (2 + 2)) <= 0 then 1 else 0) + (x mod 2))
A125925: 1 2 1 2 0 1 0 2 1 2 1 2 0 1 0 2
(loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),(x div 2),0) + (x mod 2))
A094026: 0 1 10 11 110 111 1110 1111 11110 11111 111110 111111 1111110 1111111 11111110 11111111
(((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) + 1)) + 1) + (x mod 2))
A285336-A067695: 1 2 3 2 5 2 7 2 3 2 11 3 13 2 3 2
((if (2 - x) <= 0 then ((x div 2) - ((x - 1) div (2 + 1))) else 1) - (x mod 2))
A025814: 1 0 1 0 1 0 2 0 2 1 2 1 3 1 3 2
(if x <= 0 then 0 else ((((x - ((x div 2) div (0 - 2))) div 2) + 1) + (x mod 2)))
A262991: 0 2 2 4 3 5 5 6 6 7 7 9 8 10 10 11
((if (x mod (2 + 1)) <= 0 then 1 else (2 mod ((x div (2 + 2)) + 1))) * (x mod 2))
A283978: 0 0 0 1 0 0 0 0 0 1 0 2 0 2 0 1
((if (x mod (2 + 2)) <= 0 then 1 else (((x - 1) div 2) div (2 + 1))) + (x mod 2))
A053275: 1 1 0 1 1 1 0 2 1 2 1 2 1 3 2 3
((if x <= 0 then 2 else (((x + 1) * (2 + 1)) - (x div (2 + 1)))) + (x mod 2))
A049638: 2 7 9 12 14 18 19 23 25 28 30 34 35 39 41 44
(loop(\(x,i).(((x - 2) * (x - 1)) div 2),2,((x + 2) + 1)) - (x mod 2))
A331429: 0 0 10 35 91 189 351 594 946 1430 2080 2925 4005 5355 7021 9044
((loop(\(x,i).i,(((x + 2) * x) mod ((2 + 1) * 2)),x) + 1) - (x mod 2))
A096015: 1 3 3 3 5 5 7 3 3 3 11 5 13 3 3 3
((if ((x + 1) mod ((x div ((x mod 2) + 2)) + 1)) <= 0 then 0 else 2) + (x mod 2))
A265745: 0 1 2 1 2 1 2 3 2 3 2 1 2 3 2 3
((if ((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) <= 0 then 1 else 2) + (x mod 2))
A207384: 1 3 2 2 2 3 1 2 2 3 1 3 2 2 1 3
((if (((x mod ((2 + 2) * 2)) * x) mod (2 + 1)) <= 0 then 1 else 2) - (x mod 2))
A056562: 1 1 2 0 2 1 1 1 1 0 2 0 1 1 1 0
(((if x <= 0 then 1 else ((x + 2) mod ((x div (2 + 1)) + 1))) mod 2) - (x mod 2))
A284585: 1 ~1 0 0 0 0 0 ~1 1 0 0 0 0 ~1 1 0
((if ((((x * x) + 1) mod ((x div 2) + 2)) div 2) <= 0 then 1 else 2) + (x mod 2))
A327567: 1 2 2 2 1 3 2 2 2 3 2 3 1 3 2 2
(((if x <= 0 then 1 else (((x * x) + 2) mod ((x div 2) + 1))) mod 2) - (x mod 2))
A279479-A255320-A089802: 1 ~1 0 0 0 ~1 0 0 1 0 0 0 0 0 0 0
((if (((x * x) mod ((2 + 2) + 1)) - (x mod 2)) <= 0 then 1 else 2) + (x mod 2))
A123582: 1 2 2 3 2 2 2 3 2 2 1 2
(((((if (2 - x) <= 0 then x else 2) + 1) * x) + ((2 + 2) * 2)) + (x mod 2))
A114414: 8 12 14 21 28
(((if (x mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0) + 1) * (2 - (x mod 2)))
A109013: 10 1 2 1 2 5 2 1 2 1 10 1 2 1 2 5
loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),((x + 2) div (2 - (x mod 2))))
A188545: 1 3 10
A026950: 1 3 10 25 75 175 500 1125 3125 6875 18750 40625 109375 234375 625000 1328125
loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 1),(x div 2),(x mod 2))
A094623: 0 1 11 21 121 221 1221 2221 12221 22221 122221 222221 1222221 2222221 12222221 22222221
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x div 2),(x mod 2))
A138364: 0 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435
loop(\(x,i).((((x - 1) mod (2 + 1)) + x) + (x * 2)),(x div 2),(x mod 2))
A295484: 0 1 2 3 7
A037078: 0 1 2 3 7 11 21 34 65 102 196 308 588 925 1766 2775
(loop(\(x,i).(((((x + 2) * x) div (2 + 2)) * 2) + 1),2,x) + (x mod 2))
A212742: 1 2 17 32 97 162 337 512 881 1250 1921 2592 3697 4802 6497 8192
loop(\(x,i).((((x div (((x mod (2 + 2)) + 2) * 2)) mod 2) + 1) + x),x,2)
A113508: 2 3 4 6 7 8 9 11 13 14 16 17 18 19 21 23
(if x <= 0 then 1 else (((((x + 1) * x) div (((2 + 2) * 2) + x)) + x) + 2))
A225647: 1 3 4 6 7
A236444: 1 3 4 6 7 9 11 12 14 16 18 19 21 23 25 27
loop(\(x,i).((((((x div 2) mod ((2 + 2) + 1)) mod 2) + x) div 2) + x),x,2)
A333589: 2 3 5 7 11 16 24 36 54 81 121 181 271 406 609 913
(((x + 1) * (2 + 1)) mod loop(\(x,i).((2 - (x div (i + 2))) * x),x,2))
A328034: 1 2 1 4 7 2 5 8 11 14 1 4 7 10 13 16
(((((if (2 - x) <= 0 then 2 else 1) + (x mod 2)) * 2) + 1) + ((x * x) div 2))
A147513: 3 5 7 11 13 19 23 31 37 47
((if x <= 0 then 1 else ((((x * x) * (2 + 1)) + 1) * 2)) - ((x * x) div 2))
A054275: 1 8 24 52 90 140 200 272 354 448 552 668 794 932 1080 1240
loop(\(x,i).(x * x),1,((((((x * x) * x) + 1) * x) * (x * x)) div 2))
A249586: 0 1 1296 142884 4326400 62015625 549246096 3480528016 17247043584 70801227225 250500250000 785786510916 2231605748736 5829824737009 14183810499600 32455809000000
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x * x)) div 2)
A145885: 0 1 10 63 336 1650 7722 35035 155584 680238 2939300 12584726 53488800 225990180 950094810 3977737875
(loop(\(x,i).((((x * x) + 1) * x) * x),1,((x * x) * (x * x))) div 2)
A170780: 0 1 32896 21526641 2147516416 76294140625 1410555793536 16616468167201 140737496743936 926510115949281 5000000050000000 22974865038965521 92442129662509056 332708304999455281 1088976669642580096
(((loop(\(x,i).(x * x),2,((x * x) * x)) + (x * x)) * (x * x)) div 2)
A168346: 0 1 8200 2391525 134217856 3051758125 39182082696 339111537625 2199023257600 11438396230761 50000000005000 189874916798941 641959232284800 1968688192863925 5556003412798216 14596463012720625
((loop(\(x,i).(((x * x) + 1) * x),1,((x * x) * x)) * (x * x)) div 2)
A168412: 0 1 1040 88695 2097664 24415625 181402416 988671775 4294983680 15690559329 50000050000 142655915831 371504309760 896080382665 2024782853744 4324878309375
((loop(\(x,i).(((i + x) - 1) * x),2,((x * x) * x)) * (x * x)) div 2)
A170778: 0 1 8320 2394765 134250496 3051953125 39182921856 339114418825 2199031644160 11438417750841 50000050000000 189875023971061 641959447265280 1968688600715005 5556004150673536 14596464294140625
(loop(\(x,i).((x * x) * (x + 1)),1,(((x * x) * x) * (x * x))) div 2)
A170797: 0 1 16896 7203978 537395200 15263671875 235122725376 2373921992596 17592722915328 102947309439525 500005000000000 2088637053420126 7703541745975296 25593015436291303 77784192406233600
(loop(\(x,i).(((x * x) + 1) * x),1,(((x * x) * x) * (x * x))) div 2)
A168507: 0 1 16400 7174575 536871424 15258790625 235092496176 2373780763375 17592186060800 102945566076849 500000000050000 2088624084788351 7703510787417600 25592946507231025 77784047779175024 218946945190809375
((loop(\(x,i).(((x * x) * x) * ((x * x) + 1)),1,(x * x)) * x) div 2)
A168661: 0 1 1088 89667 2105344 24453125 181538496 989075143 4296015872 15692921289 50005000000 142665578891 371522101248 896111571277 2024835291584 4324963359375
(loop(\(x,i).(((x * x) * x) * ((x * x) + 1)),1,((x * x) * x)) div 2)
A170788: 0 1 16640 7184295 537001984 15259765625 235097531136 2373800931775 17592253153280 102945759757569 500000500000000 2088625263681671 7703513367183360 25592951809295065 77784058109429504
(loop(\(x,i).(((((x * x) * x) + 1) * x) * x),1,((x * x) * x)) div 2)
A168633: 0 1 16416 7174818 536872960 15258796875 235092515616 2373780813796 17592186175488 102945566313045 500000000500000 2088624085593606 7703510788786176 25592946509458783 77784047782670880
(((loop(\(x,i).((x * x) * x),2,x) + (x * x)) * ((x * x) * x)) div 2)
A168432: 0 1 2064 265842 8389120 122071875 1088395056 6920652004 34359754752 141214797765 500000050000 1569214268886 4458050348544 11649042746887 28346956456560 64873169325000
((loop(\(x,i).((x * x) * (x + 1)),1,((x * x) * (x * x))) * x) div 2)
A170786: 0 1 4352 807003 33685504 611328125 6535385856 48464682007 274945015808 1271126624409 5000500000000 17262535045811 53499182579712 151442855545813 396867717150464 973116755859375
((loop(\(x,i).(((x * x) + 1) * x),1,((x * x) * (x * x))) * x) div 2)
A168462: 0 1 4112 797283 33554944 610353125 6530350896 48444513607 274877923328 1270932943689 5000000050000 17261356152491 53496602813952 151437553481773 396857386895984 973097534559375
((loop(\(x,i).((x + 1) * x),1,(((x * x) * x) * (x * x))) * x) div 2)
A168627: 0 1 1056 88938 2099200 24421875 181421856 988722196 4295098368 15690795525 50000500000 142656721086 371505678336 896082610423 2024786349600 4324883625000
((loop(\(x,i).(((x * x) * x) * (x + 1)),1,((x * x) * x)) * x) div 2)
A170795: 0 1 4608 826686 34078720 615234375 6560580096 48585742828 275414777856 1272676306365 5005000000000 17274324784266 53527561371648 151506482542051 397002013954560 973385859375000
((loop(\(x,i).((((x * x) * x) + 1) * x),1,((x * x) * x)) * x) div 2)
A168345: 0 1 4104 797202 33554560 610351875 6530347656 48444506404 274877908992 1270932917445 5000000005000 17261356079286 53496602699904 151437553310407 396857386646280 973097534205000
((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then ((x + 2) + 1) else 0) + x)
A236836: 0 1 2 3 4 5 6 7 8 21 10 11 12 13 14 15
((if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then ((x div 2) + 1) else 0) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A305458: 0 1 2 3 4 5 6 7 8 9 16 17 12 13 14 15
(((x * 2) * 2) div ((if (((2 + 2) * 2) mod (x + 1)) <= 0 then 2 else 0) + x))
A135282: 0 1 4 2 4 4 4 3 4 4 4 4 4 4 4 4
(loop(\(x,i).(x - (((1 - x) div ((x div (2 + 2)) + 2)) - 1)),x,0) + x)
A328659: 0 2 4 7 10 14 18 23 28 33 38 43 49 55 61 67
((x - (if ((x div 2) - 2) <= 0 then ((x div ((2 + 2) + 1)) - 1) else 1)) + x)
A277599: 1 3 5 7 9 10 11 13 15 17 19 21 23 25 27 29
((if ((x div 2) - 1) <= 0 then ((((2 - x) div 2) * (2 + 1)) + 1) else 1) + x)
A178915: 4 2 3 1 5 6 7 8 9 10 11 12 13 14 15 16
((loop(\(x,i).((x - i) * x),2,(((2 + 2) * (x + 1)) - 1)) + 1) * x)
A322745: 0 1681 23762 131043 465124 1275125 2948406 6041287 11309768 19740249 32580250 51369131 77968812 114594493 163845374 228735375
compr(\x.((x mod ((loop(\(x,i).((2 - x) * 2),x,2) mod (x + 1)) + 1)) - 1),x)
A172233: 0 1 2 3 4 5 6 8 9 10 11 12 13 16 18 20
(loop(\(x,i).(i + x),(((x - 2) * 2) div (((2 + 1) * 2) + 1)),1) + x)
A193299: 1 2 3 4 5 6 8 9 10 13 14 15 16 20 21 22
(loop(\(x,i).i,(((((x + 1) div 2) div 2) - 1) * ((2 + 2) + 1)),1) + x)
A032985: 1 2 3 4 5 6 7 12 13 14 15 21 22 23 24 30
(loop(\(x,i).(x * x),1,((((x mod 2) - x) div ((2 + 2) + 1)) - 1)) + x)
A162917: 1 2 6 7 8 9 15 16 17 18 19 20 28 29 30 31
((if (x div 2) <= 0 then 1 else ((x - ((x div (2 + 1)) mod (2 + 1))) - 1)) + x)
A255770: 1 2 3 4 6 8 9 11 13 17 19 21
((((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 2) * (2 + 1)) + 1) * x)
A109048: 0 7 14 21 28 35 42 7 56 63 70 77 84 91 14 105
(loop(\(x,i).(x * 2),(1 - ((x div 2) div ((0 - 2) * (2 + 1)))),1) + x)
A126388: 2 3 6 7 8 9 10 11 12 13 14 15 16 17 22 23
(((loop(\(x,i).((x * 2) - (x mod (i + 1))),x,2) div (2 + 1)) + 1) - x)
A326340: 1 1 1 1 4 9 19 42
(loop(\(x,i).i,(x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))),1) + x)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A334139-A178864-A058226-A028828: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20
compr(\x.(((x * x) + 1) mod (loop(\(x,i).((i + x) * x),2,(2 + 1)) + 1)),x)
A156718: 70 99 239 268 408 437 577 606 746 775 915 944 1084 1113 1253 1282
compr(\x.(((x * x) - 2) mod (loop(\(x,i).((i + x) * x),2,(2 + 1)) - 1)),x)
A204766: 13 154 180 321 347 488 514 655 681 822 848 989 1015 1156 1182 1323
loop(\(x,i).((x div 2) + 1),(x mod ((x mod ((2 - (x mod 2)) + 1)) + 1)),x)
A220096: 0 1 2 2 4 3 6 4 3 5 10 6 12 7 5 8
compr(\x.((if (((((x div 2) div (2 + 1)) + x) div 2) mod 2) <= 0 then x else 1) - 1),x)
A090892: 0 1 2 3 6 9 10 12 13 16 17 19 20 23 26 27
(loop(\(x,i).(((((x div (2 + 2)) mod 2) * 2) + x) + 1),(x - 1),1) + x)
A301587: 1 2 4 6 8 12 16 18 20 24
A238443-A174973-A125225-A103288-A092903-A005153: 1 2 4 6 8 12 16 18 20 24 28 30 32 36 40 42
(((1 - x) mod loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x - 1),1)) + x)
A056810: 0 1 11 101 1001 10001 100001 1000001 10000001 100000001 1000000001
(((loop(\(x,i).(((i * i) * (i + 1)) - x),(x + 1),0) div 2) - 1) + x)
A256666: 0 5 14 29 51 82 123 176 242 323 420 535 669 824 1001 1202
((if ((2 - x) + 2) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * 2) else 1) + x)
A028426: 1 2 3 4 30 31 32 33 34 35 36 37 38 39 40 41
(((x + 2) div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + x)
A138083: 0 1 2 4 5 6
A260375: 0 1 2 4 5 6 7 8 10 11 14 15 16
(((((x + 2) * x) mod (if (x - 2) <= 0 then 1 else ((2 + 1) * 2))) + 1) + x)
A241082: 1 2 3 7 5 11 7 11 11 13 11 17 13 17 17 19
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 1) * 2) + 1) * x))
A016985: 0 16807 537824 4084101 17210368 52521875 130691232 282475249 550731776 992436543 1680700000 2706784157 4182119424 6240321451 9039207968 12762815625
loop(\(x,i).((i * x) - ((2 + 1) * 2)),x,((((2 + 1) * 2) + 1) * x))
A229003: 0 1 10 66 426 2964 22818 195000 1842234 19120260 216604194 2662063728 35297775930 502460232684 7644691295970 123824090015544
loop(\(x,i).(((2 + 1) * i) * (2 + 1)),(x - (((2 + 1) * 2) + 1)),x)
A084689: 0 1 2 3 4 5 6 7 9
A048319: 0 1 2 3 4 5 6 7 9 18 27 36 45 54 63 72
((x div ((0 - 2) - 1)) mod ((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x))
A099801: 0 2 3 4 4 5 6 6 7 8 8 9 9 9 10 11
((((if (x - 2) <= 0 then 0 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) + x)
A201217: 0 1 2 57 58 59 60 61 62 63 64 65 66 67 68 69
(loop(\(x,i).(x * x),1,((x div (((2 - x) div (2 + 2)) - 2)) - 1)) + x)
A165776: 1 5 6 7 13 14 15 16 17 25 26 27 28 29 30 31
compr(\x.((((x * x) + 2) mod loop(\(x,i).((x * x) + (i + 2)),2,2)) - 1),x)
A155107: 23 30 76 83 129 136 182 189 235 242 288 295 341 348 394 401
compr(\x.(((x * x) - 1) mod (loop(\(x,i).((x * x) - 1),2,(2 + 2)) + 1)),x)
A056026: 1 26 199 224 226 251 424 449 451 476 649 674 676 701 874 899
compr(\x.(((loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2) mod (2 + 2)) - 1),x)
A002479: 0 1 2 3 4 6 8 9 11 12 16 17 18 19 22 24
loop(\(x,i).(x - (((1 - x) div ((x div 2) + 2)) - 1)),((2 + 2) + 1),x)
A345488: 8 11 14 16 17 19 20 22 23 24 25 26 27 28 29 30
loop(\(x,i).(x * x),(2 + 1),((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017456: 390625 4294967296 282429536481 4347792138496 33232930569601 167961600000000 645753531245761 2044140858654976 5595818096650401 13685690504052736 30590228625390625 63527879748485376 124097929967680321 230193853492166656 408485828788939521
loop(\(x,i).((x * x) * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017451: 125 4096 19683 54872 117649 216000 357911 551368 804357 1124864 1520875 2000376 2571353 3241792 4019679 4913000
loop(\(x,i).((x * x) * x),2,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017457: 1953125 68719476736 7625597484987 165216101262848 1628413597910449 10077696000000000 45848500718449031 167619550409708032 520411082988487293 1423311812421484544 3517876291919921875
loop(\(x,i).(x * x),(2 + 1),((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017516: 100000000 37822859361 1099511627776 11688200277601 72301961339136 318644812890625 1113034787454976 3282116715437121 8507630225817856 19925626416901921 42998169600000000 86730203469006241
loop(\(x,i).((x * x) * x),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017511: 1000 9261 32768 79507 157464 274625 438976 658503 941192 1295029 1728000 2248091 2863288 3581577 4410944 5359375
loop(\(x,i).((x * x) * x),2,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017517: 1000000000 794280046581 35184372088832 502592611936843 3904305912313344 20711912837890625 84590643846578176 285544154243029527 833747762130149888 2171893279442309389 4611686018427387903
((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) * 2) * ((2 + 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004851: 0 1 2 3 4 5 6 7 8 9 10 11 32 33 34 35
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((2 + 2) + 1) * x))
A016854: 0 15625 1000000 11390625 64000000 244140625 729000000 1838265625 4096000000 8303765625 15625000000 27680640625 46656000000 75418890625 117649000000 177978515625
compr(\x.(1 - (((if (x mod (2 + 2)) <= 0 then 2 else 0) + x) mod ((2 + 2) + 1))),x)
A191991: 0 1 2 3 4 6 7 9 11 12 13 14 16 17 18 19
compr(\x.(if (x mod 2) <= 0 then 1 else (((x mod (2 + 1)) * x) mod ((2 + 2) + 1))),x)
A086748: 3 5 9 15 21 25 27 33 35 39 45 51 55 57 63 65
(loop(\(x,i).(x * x),1,(2 - (((x mod 2) - x) div ((2 + 2) + 1)))) + x)
A317304: 4 5 11 12 13 14 22 23 24 25 26 27 37 38 39 40
(((x * 2) - (((if (x - (2 + 2)) <= 0 then 1 else x) div (2 + 2)) - 1)) + x)
A186327: 1 4 7 10 13 15 18 21 23 26 29 32 34 37 40 43
((((x * 2) div ((2 + 2) + 1)) + (if ((2 - x) + 2) <= 0 then 2 else 1)) + x)
A325600: 1 2 3 5 7 9 10 11 13 14 16 17 18 20 21 23
((((if (x mod (((x div 2) + 2) + 2)) <= 0 then x else 0) + 1) mod (2 + 1)) + x)
A304481: 1 2 3 4 5 6 7 9 8 10 11 12 13 14 15 16
((if x <= 0 then 1 else (((((x * x) * (x - 1)) div 2) + 1) * (2 + 1))) + x)
A179905: 1 4 11 33 79 158 279 451 683 984 1363 1829 2391 3058 3839 4743
((if x <= 0 then 1 else ((((((2 + 2) * 2) * 2) * 2) + 1) * (2 + 1))) + x)
A000865: 1 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114
loop(\(x,i).((x * x) * x),1,(((((x * 2) * 2) + 1) * (2 + 1)) - x))
A017427: 27 2744 15625 46656 103823 195112 328509 512000 753571 1061208 1442897 1906624 2460375 3112136 3869893 4741632
loop(\(x,i).((x * x) * x),2,(((((x * 2) * 2) + 1) * (2 + 1)) - x))
A017433: 19683 20661046784 3814697265625 101559956668416 1119130473102767 7427658739644928 35452087835576229 134217728000000000 427929800129788411 1195092568622310912 3004041937984268273
((if x <= 0 then 1 else ((x - (((x div 2) * x) div (2 + 1))) div (2 + 1))) + x)
A114955: 1 1 2 3 4 5 6 7 7 8 8 8 8 8 8 8
((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x - 1)) div (2 + 1)) + x)
A222011: 1 2 4 8
A000127: 1 2 4 8 16 31 57 99 163 256 386 562 794 1093 1471 1941
loop(\(x,i).((x * x) * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) - x))
A017463: 216 4913 21952 59319 125000 226981 373248 571787 830584 1157625 1560896 2048383 2628072 3307949 4096000 5000211
loop(\(x,i).((x * x) * x),2,(((((x * 2) + 1) * 2) * (2 + 1)) - x))
A017469: 10077696 118587876497 10578455953408 208728361158759 1953125000000000 11694146092834141 51998697814228992 186940255267540403 572994802228616704 1551328215978515625 3802961274698203136
((if x <= 0 then 1 else (((((x + 2) * x) * (x + 1)) div 2) div (2 + 1))) + x)
A003600: 1 2 6 13 24 40 62 91 128 174 230 297 376 468 574 695
((((x - (if ((x div 2) mod (2 + 1)) <= 0 then 0 else 2)) * 2) div (2 + 1)) + x)
A202267: 0 1 2 3 5 7 10 11 12 13 15 17 20 21 22 23
((((if (x - 2) <= 0 then x else (2 - (x div (0 - 2)))) * 2) div (2 + 1)) + x)
A095117: 0 1 3 5 6 8 9 11 12 13 14 16 17 19 20 21
((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)) + x)
A039099: 0 1 2 4 5 7 8 9 10 11 13 14 16 17 18 19
(((loop(\(x,i).((i + x) * (x - 1)),2,(x + 2)) div 2) div (2 + 1)) - x)
A212755: 1 10 37 96 205 386 665 1072 1641 2410 3421 4720 6357 8386 10865 13856
((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else x) * 2) div (2 + 1)) + x)
A267016: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 25
(loop(\(x,i).((x - 1) * x),1,(((1 - x) - (x * 2)) * (2 + 1))) + x)
A156676: 6 43 242 603 1126 1811 2658 3667 4838 6171 7666 9323 11142 13123 15266 17571
compr(\x.(((loop(\(x,i).(x div (2 - (x mod 2))),x,x) * x) + 2) mod (2 + 1)),x)
A084087: 1 4 5 7 11 13 16 17 19 20 23 25 28 29 31 35
loop(\(x,i).(((x * 2) div (((i mod 2) * 2) + 1)) + x),x,((2 + 1) * x))
A187275: 0 5 30 75 300 625 2250 4375 15000 28125 93750 171875 562500 1015625 3281250 5859375
((((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 2 else 0) + x) div (2 + 1)) + x)
A230709: 0 2 3 4 5 6 8 9 10 12 14 15 16 17 18 20
((loop(\(x,i).((((x - 1) div (2 + 1)) * x) + 1),2,x) div (2 + 1)) + x)
A023773: 0 1 2 3 6 7 11 27
(loop(\(x,i).(((((x + 2) * 2) * 2) div (i + 1)) + x),x,(2 + 1)) - x)
A005718: 3 12 31 65 120 203 322 486 705 990 1353 1807 2366 3045 3860 4828
((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + (i div 2)),x,2) - 1) + x)
A231408: 1 2 4 6 9
A026906: 1 2 4 6 9 13 18 24 32 42 54 69 87 109 136 168
((((((2 + 2) * 2) - (if x <= 0 then 0 else 1)) * 2) * ((x * 2) + 1)) - x)
A188861: 16 41 68 95 122 149 176 203 230 257 284 311 338 365 392 419
(loop(\(x,i).i,(((x - ((((2 + 2) * 2) * 2) - 1)) * 2) + x),1) + x)
A263564: 1 2 3 4 5 6 7 8 9 10 11 14 18 22 26 30
compr(\x.((loop(\(x,i).(x * x),1,(x mod (((2 + 2) + 1) * 2))) - x) + 1),x)
A308105: 10 11 12 13 20 21 22 23 24 30 31 32 33 34 35 40
((loop(\(x,i).((((x - 2) * x) div (x + 2)) + (2 + 1)),2,x) - 1) + x)
A286972: 2 3 4 5 7 9 11 12 13 15 17 19 21 23 25 27
(loop(\(x,i).((x - (((((x - 1) div 2) div 2) mod 2) * 2)) * 2),x,1) - x)
A055614: 1 1 2 5 8 19 38
(loop(\(x,i).i,(((x + 1) * x) div ((((2 + 2) * 2) * 2) + x)),1) + x)
A327261: 1 2 3 4 5 6 7 9 11 12 14 15 17 19 21 22
((loop(\(x,i).(((x div (((2 + 1) * 2) + 1)) mod 2) + x),2,x) + 1) + x)
A200982: 1 3 5 7 9 11 13 17 19 21 23 25 27 28 29 31
compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,((2 + 2) + 1)) mod (x + 1)),x)
A158911: 0 1 3 4 7 9 15 19 24 31 39 49 63 79 99 124
(loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),(2 + 1),(x + 1)) + x)
A251238: 1 3 5 7 9 11 13 15 17 19 21 22 23 24 26 28
((loop(\(x,i).(((((x div 2) * i) div 2) + x) + 1),x,1) div (x + 1)) + x)
A118985: 1 2 3 5 7 11 19 40
(loop(\(x,i).(((x * x) div (((2 + 2) * 2) + x)) + 1),2,(x + 1)) + x)
A094222: 1 2 3 4 5 6 8 9 10 12 14 16 17 18 20 22
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 2) * (x + 1)) + x))
A016901: 1024 59049 537824 2476099 7962624 20511149 45435424 90224199 164916224 282475249 459165024 714924299 1073741824 1564031349 2219006624 3077056399
loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),((x + 1) * x))
A119578: 0 2 18 120 700 3780 19404 96096 463320 2187900 10161580 46558512 210924168 946454600 4212243000 18614102400
loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) + 1)),2,((x + 1) * x))
A001536: 10 252 736 1462 2430 3640 5092 6786 8722 10900 13320 15982 18886 22032 25420 29050
(((loop(\(x,i).(((x + 2) + 1) * x),(x - 1),1) + x) div (x + 1)) + x)
A327059: 1 2 4 10 178
(loop(\(x,i).((((i * i) * (2 + 2)) div (2 + 1)) + x),x,(x + 1)) + x)
A051462: 1 4 11 25 48 83 133 200 287 397 532 695 889 1116 1379 1681
(loop(\(x,i).((((x * x) div ((2 + 2) * 2)) + 1) div 2),2,(x - 1)) * x)
A326444: 0 0 0 0 0 0 0 0 8 9 20 22 48 65 112 135
(loop(\(x,i).(x - (i - ((i * i) * 2))),(x + 2),0) - ((x - 1) * x))
A223833: 7 22 48 89 149 232 342 483 659 874 1132 1437 1793 2204 2674 3207
(loop(\(x,i).(((x * x) div (2 + 2)) * (x - 1)),2,x) * ((x - 1) * x))
A327375: 0 0 0 72 4752
(x - ((0 - ((x mod (((2 + 1) * 2) + 1)) * 2)) mod (if x <= 0 then 1 else x)))
A043267: 0 1 2 3 4 5 6 7 2 4 6 8 10 12 14 2
((((((x + 2) * x) + 1) * ((2 + 2) + 1)) div 2) - (if x <= 0 then 1 else x))
A128153: 1 9 20 37 58 85 116 153 194 241 292 349 410
((((x * 2) - ((2 - x) div ((2 + 2) + 1))) * 2) + (if x <= 0 then 1 else x))
A313975: 1 5 10 17 22 27 32 37 44 49 54 59 64 71 76 81
(((x * x) div (((((2 + 2) * 2) * 2) * 2) - x)) + (if x <= 0 then 1 else x))
A008758: 1 1 2 3 4 5 7 8 10 12 14 16 19 21 24 28
(loop(\(x,i).((i - ((((x + 1) div 2) div (2 + 1)) + 1)) + x),x,1) + x)
A198759: 1 2 4 7 11 15 20 25 30 36 42 48 54 60 66 73
(loop(\(x,i).((((i * i) * (2 + 2)) * ((2 + 2) + 1)) + x),x,1) + x)
A095265: 1 22 103 284 605 1106 1827 2808 4089 5710 7711 10132 13013 16394 20315 24816
(loop(\(x,i).(((((((i * 2) * 2) + 1) * 2) + 1) * i) + x),x,1) + x)
A213837: 1 13 52 134 275 491 798 1212 1749 2425 3256 4258 5447 6839 8450 10296
(loop(\(x,i).(((((((i * 2) * 2) * 2) + 1) * 2) * i) + x),x,1) + x)
A213839: 1 20 89 240 505 916 1505 2304 3345 4660 6281 8240 10569 13300 16465 20096
((loop(\(x,i).(((((i * i) * i) - 1) * (i + 2)) + x),x,0) div 2) + x)
A231303: 0 1 16 82 272 707 1568 3108 5664 9669 15664 24310 36400 52871 74816 103496
loop(\(x,i).(x - (((((2 - x) div 2) * i) div ((2 + 2) + 1)) - 1)),2,x)
A028788: 2 3 5 7 8 10 11 12 13 14 15 17 18 20 22 23
((if (x - 2) <= 0 then 1 else (((2 mod ((x div (2 + 2)) + 1)) + 1) * 2)) + x)
A244217: 1 2 3 5 6 7 8 9 14 15 16 17 18 19 20 21
loop(\(x,i).(((((x div (2 + 1)) * (x - 1)) div 2) div (2 + 1)) + 1),2,x)
A067284: 1 1 1 1 1 1 1 1 1 1 1 2 3 5 5 8
((if x <= 0 then 1 else ((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2)) + x)
A014684: 1 1 2 4 4 6 6 8 9 10 10 12 12 14 15 16
(((loop(\(x,i).(((i + 2) * i) * ((x * 2) - 1)),x,1) + 1) div 2) + x)
A153230: 1 3 22 596
loop(\(x,i).(((x * 2) - ((x div (((2 + 1) * 2) + 1)) mod 2)) + 1),2,x)
A190694: 3 7 11 14 18 22 26 29 33 37 41 44 48 52 59 63
loop(\(x,i).(x - ((((1 - x) * x) div 2) * (((2 + 1) * 2) + 1))),2,x)
A264894: 0 1 261 1956 7291 19500 42846 82621 145146 237771 368875 547866 785181 1092286 1481676 1966875
loop(\(x,i).((x div ((2 + 2) - (x mod ((x mod (2 + 1)) + 2)))) + 1),2,x)
A073808: 1 1 2 2 2 2 2 2 2 2 2 4 2 2 3 2
loop(\(x,i).((((((2 + 2) * (0 - 2)) * 2) mod (x + 1)) div 2) + 1),2,x)
A326700: 1 1 2 1 1 2 1 1 2 1 3 2 3 1 2 1
(((((loop(\(x,i).i,(((x div 2) - 2) - 2),1) * 2) * 2) + 1) * 2) + x)
A062997: 10 11 12 13 14 15 16 17 18 19 20 21 30 31 40 41
loop(\(x,i).(((x - (x mod ((x div ((2 + 2) + 1)) + 2))) div 2) + 1),2,x)
A120425: 1 1 2 2 2 2 3 3 3 2 2 2 4 4 4 4
(((if (2 - (x div 2)) <= 0 then (((x div (2 + 2)) + 2) + 2) else 1) * 2) + x)
A037340: 2 3 4 5 14 15 16 17 20 21 22 23 26 27 28 29
((if (x - (2 + 1)) <= 0 then 2 else ((x - (((x div 2) mod 2) - 1)) div 2)) + x)
A225736-A225735-A225734-A225733-A225732-A080671: 2 3 4 5 6 8 9 10 12 14 15 16 18 20 21 22
loop(\(x,i).(((x + 1) div 2) - (((x div (2 + 1)) + 1) div (2 + 1))),2,x)
A303399: 0 1 1 1 1 2 1 2 2 2 2 3 3 2 2 2
loop(\(x,i).(((x - (x div (2 + 2))) div 2) - ((x + 1) * (2 + 1))),2,x)
A101864: 5 13 18 26 34 39 47 52 60 68 73 81 89 94 102 107
(((if (x - 1) <= 0 then 1 else (((2 + 2) * (x - 1)) div (2 + 1))) * 2) + x)
A223578: 2 3 4 7 12 15 18 23 26 29 34 37 40 45 48 51
((if ((x div (2 + 1)) - 2) <= 0 then 1 else (((x div 2) div (2 + 1)) * 2)) + x)
A342339-A317589-A243068-A242413-A081061-A072303: 1 2 3 4 5 6 7 8 9 11 12 13 16 17 18 19
compr(\x.((x div 2) - (if (x mod ((2 + 1) * 2)) <= 0 then x else ((2 + 1) * 2))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A213517: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 24
compr(\x.(((x + 1) mod (((if (x mod (2 + 2)) <= 0 then 2 else x) * 2) + 1)) mod 2),x)
A139711: 1 3 4 5 7 8 9 11 13 15 16 17 19 21 23 24
(x - loop(\(x,i).(x - ((x mod ((2 + 1) * 2)) mod ((x div 2) + 1))),2,x))
A328480: 0 0 0 1 2 3 0 1 2 3 4 5 0 1 2 3
((loop(\(x,i).(x div ((x mod 2) + 1)),x,(((2 + 1) * x) + 1)) div 2) - x)
A246425: 0 1 ~2 2 ~1 3 ~4 4 ~2 5 ~10 6 ~3 7 ~9 8
((((if ((x div 2) - 2) <= 0 then 1 else ((x - 2) * 2)) mod (x + 1)) + 2) + x)
A026446: 2 4 5 6 7 8 9 11 13 15 17 19 21 23 25 27
((((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x div 2)) mod (x + 1)) div 2) + x)
A039237: 0 1 3 4 5 6 7 8 9 11 12 13 15 16 17 18
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),((x - 1) div 2),x)
A218073: 0 1 2 9 12 50 60 245 280 1134 1260 5082 5544 22308 24024 96525
(((x + 1) * x) - loop(\(x,i).(((x - (i + 1)) * x) div (i + 1)),2,x))
A094696: 0 1 6 13 19 21
((if (x - 1) <= 0 then 1 else (((x - 2) * 2) - (x div ((0 - 2) - 2)))) + x)
A248187: 1 2 3 6 9 13 16 19 22 26 29 32 35 39 42 45
(1 - (1 mod ((((if x <= 0 then 1 else x) mod (((2 + 2) + 1) * 2)) * 2) - x)))
A259567: 0 1 0 0 0 0 0 0 0 0 10 9 8 7 6 5
loop(\(x,i).(x - ((i + x) div ((((2 - x) div 2) div (2 + 1)) - 2))),2,x)
A183867: 3 4 6 8 9 10 12 13 15 16 17 18 20 21 22 24
loop(\(x,i).((x * x) * x),1,(((((x * 2) * (2 + 1)) + 2) * 2) - x))
A017439: 64 3375 17576 50653 110592 205379 343000 531441 778688 1092727 1481544 1953125 2515456 3176523 3944312 4826809
loop(\(x,i).((x * x) * x),2,(((((x * 2) * (2 + 1)) + 2) * 2) - x))
A017445: 262144 38443359375 5429503678976 129961739795077 1352605460594688 8662995818654939 40353607000000000 150094635296999121 472161363286556672 1304773183829244583 3251948521156637184
((if (x - 1) <= 0 then 1 else ((x div (((x div 2) div (2 + 1)) + 2)) * 2)) + x)
A117070: 1 2 4 5 8 9 10 11 12 15 16 17 18 19 20 21
(((if (x - 2) <= 0 then 1 else x) - ((x - ((x mod (2 + 1)) div 2)) div 2)) + x)
A320928: 1 2 3 5 6 8 9 11 13 14 15 17 18 20 22 23
(((if x <= 0 then 1 else ((x mod 2) - ((x - (x mod (2 + 1))) div 2))) * 2) + x)
A087242: 2 3 2 3 2 5 0 3 2 3 2 5 0 3 2 3
(((0 - (loop(\(x,i).(((i * 2) - 1) * x),(x - 2),1) div 2)) div 2) - x)
A118998: 0 ~1 ~2 ~3 ~5 ~9 ~32
compr(\x.((((x * x) - 1) * x) mod loop(\(x,i).(((x + 2) * x) + 1),2,2)),x)
A008856: 0 1 24 25 49 51 75 76 99 100 101 124 125 149 151 175
(((x * x) + 1) div ((((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2) * 2) + x))
A131187: 0 0 0 1 1 2 3 3 4 6 5 6 9 8 8 11
(x - loop(\(x,i).(x - ((x - (((x div (2 + 2)) - 1) div 2)) mod 2)),2,x))
A341279: 1 0 1 0 0 1 0 1 0 1 0 1 2 0 1 0
((if x <= 0 then 1 else x) - ((x * x) div (((((x mod 2) + 2) * 2) * 2) + x)))
A226142: 1 1 2 3 3 4 4
A294991: 1 1 2 3 3 4 4 5 4 6 5 6 5 7 6 7
loop(\(x,i).((((x + 2) * 2) div (2 + 1)) + 1),(x - ((2 + 2) * 2)),x)
A328289: 0 1 2 3 4 5 6 7 8 8 8 7 7 7 7 7
loop(\(x,i).((x * x) * x),1,((((((2 + 1) * x) + 2) * 2) * 2) - x))
A017487: 512 6859 27000 68921 140608 250047 405224 614125 884736 1225043 1643032 2146689 2744000 3442951 4251528 5177717
loop(\(x,i).((x * x) * x),2,((((((2 + 1) * x) + 2) * 2) * 2) - x))
A017493: 134217728 322687697779 19683000000000 327381934393961 2779905883635712 15633814156853823 66540410775079424 231616946283203125 692533995824480256 1838459212420154507 4435453859151328768 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - ((x - ((x * x) div (x - ((2 - x) div 2)))) * 2)),2,x)
A210746: 1 1 1 1 1 3 3 3 3 3 3 5 5 7 7 7
(((loop(\(x,i).(((i + 1) * (x + 1)) + (x div 2)),x,2) div 2) div 2) + x)
A121894: 0 2 8 34 177 1131
((if x <= 0 then 1 else (x - ((((x * 2) * 2) div ((x + 2) + 2)) mod 2))) + x)
A098177: 1 2 3 5 8 10 12 14 16 18 20 22 23 25 27 29
loop(\(x,i).((x div (((2 + 1) * 2) + 1)) + x),(((x div 2) - 2) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A252996-A252495-A182175: 0 1 2 3 4 5 6 7 8 9 11 12 14 16 20 21
compr(\x.(if (x div (2 + 2)) <= 0 then 0 else ((x - (x div (2 + 2))) mod (2 + 2))),x)
A048301: 0 1 2 3 5 10 15 16 21 26 31 32 37 42 47 48
loop(\(x,i).(x - ((((x mod (2 + 2)) - 1) * 2) - 1)),(x div (2 + 2)),x)
A295484: 0 1 2 3 7
A234612: 0 1 2 3 7 6 5 4 8 9 10 11 15 14 13 12
(if x <= 0 then 1 else (((((x * 2) * 2) div (x + 2)) + (x div (2 + 2))) + x))
A056127: 1 2 4 5 7 8 10 11 13 14 15 16 18 19 20 21
loop(\(x,i).(((((2 + 2) * 2) * 2) - (x mod (i + 1))) div (x + 2)),2,x)
A124229: 1 2 2 3 3 3 3 5 5 5 5 5 5 5 5 8
((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) + 1) div (((x + 2) * 2) + x))
A191634: 1 1 2 6 15 38 99 262 703 1904 5210 14363 39858 111231 311932 878504
((loop(\(x,i).(0 - ((((i * 2) + 1) * x) * 2)),x,(x + 2)) div 2) * x)
A085799: 0 ~9 240 ~6300 181440 ~5821200 207567360 ~8172964800 352864512000 ~16593453676800 844757641728000 ~46306798060723200 2720119606364160000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i - (((x - i) * x) div ((x + 2) + 2))) + (x * 2)),2,x)
A047700: 5 8 11 13 14 16 17 19 20 21 22 23 24 25 26 27
(loop(\(x,i).(((x * x) * x) * ((2 + 2) * 2)),2,((x * 2) * 2)) * x)
A017074: 0 1073741824 1099511627776 63403380965376 1125899906842624 10485760000000000 64925062108545024 303305489096114176 1152921504606846976 3743906242624487424 4611686018427387903
loop(\(x,i).(((((i + 2) * x) div (((2 + 2) * 2) + x)) + x) + 2),2,x)
A105432: 4 6 7 8 10 12 13 14 15 16 17 18 19 20 21 22
compr(\x.((if ((x div (((x div 2) div (2 + 1)) + 2)) mod 2) <= 0 then 1 else x) - 2),x)
A138083: 0 1 2 4 5 6
A326749: 0 1 2 4 5 6 7 8 16 17 20 21 22 23 24 25
loop(\(x,i).(((((x + 2) * i) + x) div (((i + 2) * 2) + 1)) + x),2,x)
A190719: 0 1 3 5 7 8 11 12 13 15 17 19 20 23 24 25
loop(\(x,i).(((((((x + 1) div 2) div 2) * 2) * 2) div (2 + 1)) + x),2,x)
A192225: 0 1 2 5
A153384: 0 1 2 5 6 7 9 11 12 15 16 20 21 22 23 26
((if x <= 0 then 1 else (((((x * x) * (x mod 2)) div (2 + 1)) + x) + 2)) + x)
A231407: 1 4 6
A132149: 1 4 6 11 10 20 14
(((loop(\(x,i).(x * x),2,(x + 1)) * (((x + 2) * 2) + x)) div 2) * x)
A182866: 0 56 810 4992 20000 61560 158466 358400 734832 1395000 2488970 4219776 6854640 10737272 16301250 24084480
(((loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),x) + 2) div (x + 2)) + x)
A142153: 1 2 5 18 87 451
loop(\(x,i).((((2 + 2) * 2) * 2) * ((0 - x) - 1)),2,((x + 2) * x))
A158562: 240 1008 2288 4080 6384 9200 12528 16368 20720 25584 30960 36848 43248 50160 57584 65520
loop(\(x,i).((1 - ((2 + 2) * (2 + 1))) * (x + 1)),2,((x + 2) * x))
A158539: 110 473 1078 1925 3014 4345 5918 7733 9790 12089 14630 17413 20438 23705 27214 30965
loop(\(x,i).(((1 - ((2 + 2) * 2)) * 2) * (x + 1)),2,((x + 2) * x))
A158553: 182 770 1750 3122 4886 7042 9590 12530 15862 19586 23702 28210 33110 38402 44086 50162
loop(\(x,i).((1 - (((2 + 2) * 2) * 2)) * (x + 1)),2,((x + 2) * x))
A158559: 210 885 2010 3585 5610 8085 11010 14385 18210 22485 27210 32385 38010 44085 50610 57585
(loop(\(x,i).((((x * x) div ((2 + 2) * 2)) + 1) div 2),2,(x - 2)) * x)
A326523: 0 0 0 0 0 0 0 0 0 9 10 22 24 52 70 120
compr(\x.((loop(\(x,i).(x div (2 - (x mod 2))),x,(x * x)) + 1) - (x * 2)),x)
A082662: 1 2 4 6 8 12 16 20 24 28 32 40 48 56 64 72
((((loop(\(x,i).((x - 2) * 2),(x - 2),x) * 2) + 1) + (x div 2)) + x)
A018196: 1 4 8 9 15 32
((((loop(\(x,i).(((x div (2 + 2)) + x) + 1),2,x) + x) + x) + 2) + x)
A321370: 4 8 12 17 22 26 31 35 40 45 49 53 59 63 67 71
(x - loop(\(x,i).(x - ((x mod ((((x mod 2) + 2) * 2) + 1)) - 1)),x,x))
A060511: 0 0 1 2 3 4 0 1 2 3 4 5 6 7 8 0
loop(\(x,i).((((((x * x) * x) * (x - 1)) * (x - 1)) div 2) + 1),x,x)
A262596: 0 1 1001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 1) * x) + 2) * x) - 1),2,(x + 1)) + x) + x)
A173377: 55 706
(((loop(\(x,i).(((x - 1) * x) div (x + 2)),2,x) + (x + 1)) + x) + x)
A090852: 1 4 7 10 13 16 20 24 27 31 35 39 43 47 51 55
(loop(\(x,i).((x div 2) - (((x div (2 + 2)) div (0 - 2)) - 1)),2,x) + x)
A130048: 1 2 4 5 8 9 10 11 13 14 15 16 18 19 21 22
(loop(\(x,i).(x - ((x div (((2 - (x mod 2)) + 2) + 2)) - 1)),2,x) + x)
A296214: 2 4 6 8 9 10 12 14 16 18 20 21 22 24 26 27
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then (((2 + 2) + 1) * 2) else x) + x)
A133506: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 30
(loop(\(x,i).(((x * x) div ((((2 + 2) * 2) + x) + 2)) + 1),2,x) + x)
A320057: 1 2 3 4 5 6 7 8 10 11 13 14 15 17 19 21
(loop(\(x,i).(((x - 1) * x) div (((2 + 2) * 2) * (i + 1))),2,x) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A030141: 0 1 2 3 4 5 6 7 8 9 10 12 14 16 18 21
(loop(\(x,i).((((x * x) div (((x div 2) + 2) + 2)) + 1) div 2),2,x) + x)
A067570: 0 1 2 3 4 5 7
A343857-A213715: 0 1 2 3 4 5 7 8 9 11 13 15 16 17 19 21
((loop(\(x,i).(((((x + 2) + 2) + 2) * 2) * (x + 1)),2,2) * x) - x)
A178027: 0 5291 10582 15873 21164 26455 31746 37037 42328 47619 52910 58201 63492 68783 74074 79365
(loop(\(x,i).(((((x + 1) * x) div 2) div ((i * 2) - 1)) + x),2,x) + x)
A327032: 0 4 12 27 53 95 159 252 382 558 790 1089 1467 1937 2513 3210
(loop(\(x,i).((((1 - (x * x)) mod ((x div 2) + 1)) div 2) + x),2,x) - x)
A046779: 0 0 0 0 0 0 0 0 1 0 1 0 4 0 5 0
(((loop(\(x,i).((i + 1) * x),(x * 2),2) * (2 + 1)) - 1) + (x * x))
A118018: 5 36 723
((((if (x - 1) <= 0 then 1 else ((1 - x) * (x mod 2))) * 2) - 1) + (x * x))
A134916: 1 2 3 4 15
A081350: 1 2 3 4 15 16 35 36 63 64 99 100 143 144 195 196
(((loop(\(x,i).(x * x),(x - 2),((x * x) + 1)) * x) + 1) - (x * x))
A260967: 1 2 7 292
((loop(\(x,i).(x * x),((x * x) - 1),(x + 1)) * (x + 1)) - (x * x))
A112406: 1 3 19679 4611686018427387903
(loop(\(x,i).((((i * 2) + 1) * i) + x),((x * 2) + 1),x) + (x * x))
A213848: 3 36 131 320 635 1108 1771 2656 3795 5220 6963 9056 11531 14420 17755 21568
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - ((x * x) * (x * x)))
A024144: 1 11 128 1647 20480 248207 2984688 35829407 429977600 5159773791 61917354224 743008356047 8916100427520 106993205350511 1283918464510448 15407021574535743
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - ((x * x) * (x * x)))
A024118: 1 9 84 919 9744 99375 998704 9997599 99995904 999993439 9999990000 99999985359 999999979264 9999999971439 99999999961584 999999999949375
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - ((x * x) * (x * x)))
A024079: 1 6 33 262 2145 16182 116353 821142 5760705 40347046 282465249 1977312102 13841266465 96888981846 678223034433 4747561459318
(loop(\(x,i).((x * 2) * 2),x,1) - (((x * x) * (x * x)) * (x * x)))
A024042: 1 3 ~48 ~665 ~3840 ~14601 ~42560 ~101265 ~196608 ~269297 48576 2422743 13791232 62282055 260905920 1062351199
(loop(\(x,i).((2 + 1) * x),x,1) - (((x * x) * (x * x)) * (x * x)))
A024029: 1 2 ~55 ~702 ~4015 ~15382 ~45927 ~115462 ~255583 ~511758 ~940951 ~1594414 ~2454543 ~3232486 ~2746567 2958282
loop(\(x,i).((x * 2) * (2 + 1)),x,(((x * x) * (x * x)) * (x * x)))
A198403: 0 6 2304 157464 5308416 121500000 2176782336 32934190464 440301256704 5355700839936 60466176000000 642717115324416 6499837226778624 63041475422674944 590045794670739456 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024017: 1 1 ~124 ~2179 ~16368 ~78093 ~279872 ~823415 ~2096896 ~4782457 ~9998976 ~19485123 ~35827712 ~62740325 ~105397120 ~170826607
(loop(\(x,i).(i * x),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A196414: 1 0 ~126 ~2181 ~16360 ~78005 ~279216 ~818503 ~2056832 ~4420089 ~6371200 20429629 443169792 6164272283 87072877696 1307503508625
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (((x * x) * x) * (x * x)))
A024106: 1 8 49 486 5537 55924 523665 4766162 43013953 387361440 3486684401 31380898558 282429287649 2541865457036 22876791917137 205891131335274
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - (((x * x) * x) * (x * x)))
A024067: 1 5 4 ~27 272 4651 38880 263129 1646848 10018647 60366176 362636005 2176533504 13060322723 78363626272 470184225201
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (((x * x) * x) * (x * x)))
A024093: 1 7 32 269 3072 29643 254368 2080345 16744448 134158679 1073641824 8589773541 68719227904 549755442595 4398045973280 35184371329457
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + (((x * x) * x) * (x * x)))
A001593: 1 6 57 368 1649 6250 23401 94932 423393 2012174 9865625 48989176 244389457 1221074418 6104053449 30518337500
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (((x * x) * x) * (x * x)))
A024054: 1 4 ~7 ~118 ~399 0 7849 61318 357857 1894076 9665625 48667074 243891793 1220331832 6102977801 30516818750
((loop(\(x,i).(x * x),2,(((x * x) * x) * (x * x))) * x) * (x * x))
A010811: 0 1 8388608 94143178827 70368744177664 11920928955078125 789730223053602816 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(x div (2 - (((x div (2 + 2)) * (x + 1)) mod 2))),x,x),x)
A263133: 0 1 2 3 5 7 10 11 15 21 23 31 42 43 47 63
((x + 1) - loop(\(x,i).(x - (x div ((((2 + 2) * 2) * 2) - x))),x,x))
A273735: 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 16
compr(\x.loop(\(x,i).(x div (2 - (((x * x) div ((2 + 2) * 2)) mod 2))),x,x),x)
A048715: 0 1 2 4 8 9 16 17 18 32 33 34 36 64 65 66
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - ((x * x) * x))
A024130: 1 10 113 1304 14577 160926 1771345 19486828 214358369 2357946962 25937423601 285311669280 3138428374993 34522712141734 379749833580497 4177248169412276
((x mod ((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1)
A327499: 1 1 1 1 1 2 1 1 1 2 1 1 1 2 3 1
((((2 - x) + 2) mod ((x mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1)
A345934-A060775: 1 1 1 1 1 2 1 2 1 2 1 3 1 2 3 2
((x div ((x mod (((x div 2) div (((x mod 2) + 2) + 1)) + 1)) + 1)) + 1)
A122425: 1 2 3 4 5 6 7 8 9 5 11 6 13 7 5 8
((x - 1) mod ((x mod ((x mod (((x + 1) div (2 + 1)) + 1)) + 1)) + 1))
A131488: 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 2
((x div (2 - (x div ((x mod (((1 - x) div (2 + 1)) - 1)) - 1)))) + 1)
A220413: 1 1 1 1 1 2 1 2 1 2 2 3 3 2 3 3
((x mod (((x - ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A329888: 1 1 1 2 1 2 1 2 3 2 1 2 1 2 3 4
((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A308993-A162401-A000188: 1 1 1 2 1 1 1 2 3 1 1 2 1 1 1 4
((x mod (((((x * x) div 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A047100-A047010: 1 1 1 1 1 1 1 2 1 1 1 3 3 2 1 1
((x mod (((((x div 2) * x) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A327857: 1 1 1 2 1 1 1 2 1 1 1 2 3 1 1 4
((((0 - x) * 2) mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A225630-A152157-A123320-A119269-A096669-A096591-A054123: 1 1 1 1 1 1 1 2 1 1 1 3 2 1 1 1
((((x * x) * 2) mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A191523-A132890: 1 1 1 1 1 1 1 3 1 1 1 3 4 1 1 1
((x mod ((((x * x) + (x mod 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A331461-A323718-A297299-A220708-A208891-A185812-A152798-A130580-A124279-A110541-A047120-A047030: 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1 1
(((((x + 1) * x) div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A277325: 1 1 1 1 1 2 1 1 1 2 2 3 1 4 1 1
((2 + 1) mod (((x div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1))
A346012-A317946: 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 3
((((x + 1) * 2) mod (((x div 2) div ((x mod (2 + 1)) + 1)) + 1)) + 1)
A015137: 1 1 1 1 1 1 3 1 1 1 2 1 6 1 1 1
(0 - ((x mod ((x mod (((0 - x) mod ((x div 2) + 1)) + 1)) + 1)) + 1))
A339791: ~1 ~1 ~1 ~2 ~1 ~2 ~1 ~2 ~3 ~2 ~1 ~2 ~1 ~2 ~3 ~2
((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)
A095165-A059981-A033676: 1 1 1 2 1 2 1 2 3 2 1 3 1 2 3 4
(((x - 1) mod ((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) + 1)) + 1)
A326323-A291709-A257493: 1 1 1 1 1 1 1 1 2 1 1 1 3 6 1 1
(((x * 2) mod ((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) + 1)) + 1)
A275062-A247005: 1 1 1 1 1 1 1 1 2 1 1 1 1 6 1 1
((x div ((((2 + 2) + 1) mod ((x mod ((2 + 1) * 2)) + 1)) + 1)) + 1)
A060789: 1 1 1 2 5 1 7 4 3 5 11 2 13 7 5 8
((x div ((x mod (((x mod ((x div (2 + 2)) + 2)) div 2) + 1)) + 1)) + 1)
A324932: 1 2 3 4 5 3 7 8 9 10 11 6 13 7 5 16
(x div ((x mod ((x div ((((x + 1) mod (2 + 2)) + 2) + 1)) + 1)) + 1))
A099311: 0 1 2 1 4 2 6 3 2 4 10 2 12 6 4 3
((x mod (((x * 2) mod ((((x - 1) mod (2 + 2)) * 2) - 1)) + 1)) + 1)
A209972-A184957-A046854: 1 1 1 1 1 1 1 2 1 1 1 2 3 1 1 1
(((x + 2) mod (((x * 2) mod (((x div (2 + 2)) * 2) - 1)) + 1)) + 1)
A270061: 1 1 1 1 1 1 1 1 1 1 1 2 5 2 1 1
(((x + 1) mod ((x mod ((x div ((x mod (2 + 2)) + 2)) + 1)) + 1)) + 1)
A206824: 1 1 1 1 2 1 1 1 2 1 2 1 2 3 1 1
(((x + 1) mod ((x mod ((x div (((x div 2) mod 2) + 2)) + 1)) + 1)) + 1)
A123529: 1 1 1 1 2 1 1 1 2 1 3 1 2 1 1 1
((x div ((((x + 2) * 2) mod (((x + 1) mod (2 + 2)) + 1)) + 1)) + 1)
A344758: 1 2 3 4 5 2 7 8 9 5 11 12 13 14 15 16
(((x * 2) mod (((x div 2) mod (((x - 1) mod (2 + 2)) + 1)) + 1)) + 1)
A030598: 1 1 1 1 3 1 1 1 1 1 1 2 1 1 1 1
((((x div 2) div (2 + 1)) div (((x + 1) mod ((2 + 2) + 1)) + 1)) + 1)
A046213: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 3 2
(((((x mod 2) + 1) * (x + 1)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A318831: 1 1 1 1 1 1 2 1 2 1 3 1 2 2 1 1
(((x div (((x mod 2) - 2) * 2)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A214247: 1 1 1 1 1 2 1 1 1 2 1 1 1 3 3 1
(((((2 + 2) + 1) * (x div 2)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A290262: 1 1 1 1 1 1 2 2 1 1 2 2 1 1 3 4
((((x mod (2 + 1)) + (x mod 2)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A070242: 1 1 1 1 1 2 1 1 1 2 2 1 1 3 3 2
(x - ((x div (((x + 1) mod (((2 - x) mod (2 + 2)) + 1)) + 1)) - 1))
A204160: 1 1 1 1 4 1 1 1 1 1 1 1 7 1 1 1
(((x - 1) mod ((((x div 2) * 2) div ((x div (2 + 2)) + 1)) + 1)) + 1)
A121884: 1 1 2 3 1 2 2 3 2 3 2 3 4 1 2 3
(((x * 2) mod (((x div (2 + 1)) div ((x mod (2 + 2)) + 1)) + 1)) + 1)
A256384: 1 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1
((((x div 2) + 1) mod (((x div 2) div ((x mod (2 + 2)) + 1)) + 1)) + 1)
A326840: 1 1 1 1 1 2 1 1 1 3 1 1 1 4 3 1
(1 - ((1 - x) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)))
A122811: 0 1 2 2 4 3 6 3 4 5 10 4 12 7 6 5
((x mod ((((x - 1) * x) mod ((x div ((x mod 2) + 2)) + 1)) + 1)) + 1)
A303864: 1 1 1 1 1 1 1 1 1 1 1 3 6 2 1 1
((((x div 2) - 1) mod (((x div 2) div (((x mod 2) * 2) + 1)) + 1)) + 1)
A101279: 1 1 1 1 2 1 3 1 4 2 5 1 6 3 7 1
((x mod (((2 - ((x + 1) div ((2 + 2) + 1))) mod (2 + 1)) + 1)) + 1)
A328231: 1 2 3 1 1 2 1 2 1 1 1 1 1 1 3 1
((((x + 1) * x) mod (((x div ((2 + 2) + 1)) * (2 + 1)) - 1)) + 1)
A341850-A341847: 1 1 1 1 1 1 1 1 1 1 1 3 2 3 1 1
(((((x mod 2) - x) + 1) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1)
A118668: 1 1 1 1 2 2 2 2 2 2 1 1 2 2 3 3
(((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1)
A342083-A323091-A320889-A318357-A316364-A296133-A045778: 1 1 1 1 1 2 1 2 1 2 1 3 1 2 2 2
(((((2 + 2) * (2 + 1)) + 1) mod (((x + 1) div (2 + 1)) + 1)) + 1)
A327343: 1 1 2 2 2 2 2 2 2 2 2 4 4 4 2 2
(((((2 + 2) * 2) * (2 + 1)) mod (((x + 1) div (2 + 1)) + 1)) + 1)
A172359: 1 1 1 1 1 1 1 1 1 1 1 5 5 5 1 1
((x mod (((((x * 2) div (2 + 1)) * (x - 1)) mod (2 + 1)) + 1)) + 1)
A329376: 1 1 1 2 1 1 1 1 3 1 1 2 1 1 1 1
(x div ((((x * x) * 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) + 1))
A036856-A036855: 0 0 0 0 0 0 0 1 0 0 0 0 3 0 1 1
(((((x div 2) - 2) * x) div ((((2 + 1) * 2) * (2 + 1)) + 1)) + 1)
A264591: 1 0 0 0 1 1 1 1 1 1 2 2 3 3 4 4
((x mod ((((x - ((x div 2) div (0 - 2))) div 2) mod (2 + 1)) + 1)) + 1)
A290695: 1 1 1 1 2 1 1 2 3 1 1 2 1 2 1 1
(x - (((x + 1) mod (((((x mod 2) + 2) * 2) * (2 + 1)) + 1)) - 1))
A345191: 0 0 0 0 0 0 0 0 0 0 0 0 13 0 13 0
((x mod (((1 - (((x div 2) + 2) mod (2 + 2))) mod (2 + 1)) + 1)) + 1)
A069349: 1 2 1 2 1 2 1 1 3 1 1 2 1 2 1 1
(((((x + 1) * 2) * (x + 1)) * (((2 + 2) * (2 + 1)) + 1)) - 1)
A158551: 25 103 233 415 649 935 1273 1663 2105 2599 3145 3743 4393 5095 5849 6655
(((((x + 2) * (x + 2)) * 2) div (((2 + 2) * (2 + 1)) + 1)) + 1)
A025695: 1 2 3 4 6 8 10 13 16 19 23 27 31 35 40 45
(((((x + 1) * 2) * (x + 1)) * (((2 + 2) * (2 + 1)) - 1)) - 1)
A158540: 21 87 197 351 549 791 1077 1407 1781 2199 2661 3167 3717 4311 4949 5631
(((((x + 2) + 2) * (x + 1)) * (((2 + 2) * (2 + 1)) - 1)) - 1)
A292578: 43 109 197 307 439 593 769 967 1187 1429 1693 1979 2287 2617 2969 3343
((((((x + 2) + 1) * x) div 2) * (((2 + 2) * (2 + 1)) - 1)) + 1)
A166144: 1 23 56 100 155 221 298 386 485 595 716 848 991 1145 1310 1486
(((((x * x) div (2 + 1)) - x) div (((2 + 2) * (2 + 1)) - 1)) + 1)
A006141: 1 0 0 1 1 1 1 1 2 2 3 3 4 4 5 6
(((x div ((2 + 2) * 2)) - (x div (((1 - x) div (2 + 1)) - 1))) + 1)
A321318: 1 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5
((x mod ((((x - ((x div (2 + 2)) mod 2)) * x) mod (2 + 1)) + 1)) + 1)
A274382: 1 2 1 1 1 3 1 1 1 1 1 2 1 1 3 1
(2 div ((x mod (2 - ((x * 2) div (((2 - x) div (2 + 1)) - 1)))) + 1))
A331812: 2 1 0 0 0 0 2 2 2 0 0 0 0 0 0 1
(((x + 1) mod ((x mod (1 - (((x mod 2) - x) div (2 + 1)))) + 1)) + 1)
A101875-A101871: 1 1 1 1 2 1 1 1 1 1 1 1 2 3 1 1
((x div (((((x mod (2 + 1)) div 2) + 1) * (x div (2 + 1))) + 1)) + 1)
A065067: 1 2 3 2 3 2 3 3 2 3 3 2 3 3 2 3
(x - (((x * x) div ((((x + 1) * 2) - (x div (2 + 1))) + 1)) - 1))
A047740: 1 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8
(x - (((x + 1) div ((((2 + 2) * 2) - (x div (2 + 1))) + 1)) - 1))
A099848: 1 2 3 4 5 6 6 7 8 9 10 10 11 12 12 12
((((x - 1) * x) div ((((x + 2) * 2) - (x div (2 + 1))) + 1)) + 1)
A125059: 1 1 1 1 2 2 3 3 3 4 5 5 6 6 7 8
(x mod (((((x + 1) div 2) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1))
A049502: 0 0 0 0 0 1 0 0 0 1 2 2 0 1 0 0
(((2 - (x div (((x mod 2) + 2) + 1))) mod ((x mod (2 + 1)) + 1)) + 1)
A088429: 1 1 3 1 2 2 1 2 1 1 2 1 1 2 2 1
(((1 - x) mod ((((2 + 2) * (x - 1)) mod ((x div 2) + 1)) + 1)) + 1)
A136605: 1 1 1 1 1 1 1 1 2 2 1 1 2 3 3 1
((x mod (((((x - 2) * x) * (2 + 2)) mod ((x div 2) + 1)) + 1)) + 1)
A073408: 1 1 1 1 2 1 1 1 3 1 2 1 3 2 1 1
(((((x + 2) div (2 + 1)) * 2) + 1) * ((x mod ((0 - 2) - 1)) + 1))
A138188: 1 ~3 0 3 ~5 0 5 ~7 0 7 ~9 0 9 ~11 0 11
((2 div ((((x + 2) + 1) mod ((((2 + 1) * 2) + 1) * 2)) + 1)) + 1)
A227141: 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1
((x mod ((((x + 1) mod ((((x + 1) div 2) div 2) + 1)) * 2) + 1)) + 1)
A106177: 1 1 1 1 2 1 1 3 1 1 1 1 1 4 1 1
(((x * x) mod ((x mod (((((x + 1) div 2) div 2) + 1) * 2)) + 1)) + 1)
A227903: 1 2 1 2 1 2 1 2 2 2 1 2 5 2 1 4
((x div (((x mod ((x mod (1 - ((2 + 2) * 2))) - 1)) mod 2) + 1)) + 1)
A295126: 1 2 3 4 5 3 7 8 9 5 11 6 13 7 15 16
((2 div (((((1 - x) * 2) mod (((2 + 2) * 2) + 1)) div 2) + 1)) + 1)
A308184: 2 3 1 1 2 3 1 1 1 2 3 1 1 2 3 1
((x mod (((x mod ((((0 - x) mod (2 + 2)) * 2) + 1)) div 2) + 1)) + 1)
A082062: 1 1 1 1 1 3 1 1 1 2 1 2 1 2 3 1
((x div ((((x + 1) div (((x div (2 + 2)) + 2) + 1)) * 2) + 1)) + 1)
A274701: 1 2 1 2 2 2 3 2 3 2 3 3 3 3 3 4
((x div (((x mod ((x mod ((x div (2 + 2)) + 2)) + 1)) div 2) + 1)) + 1)
A319626-A053627: 1 2 3 4 5 3 7 8 9 10 11 6 13 14 5 16
(((x * x) mod ((((x - 1) * x) mod (((2 + 2) + 1) * 2)) + 1)) + 1)
A083279: 1 1 2 3 2 1 1 2 2 1 1 1 1 2 2 1
(x div ((((x + 1) * 2) mod (((x mod ((2 + 2) + 1)) div 2) + 1)) + 1))
A097448: 0 1 2 3 2 5 6 7 8 3 10 11 12 13 14 15
((((x div (2 + 2)) + 2) mod (((x mod ((2 + 2) + 1)) div 2) + 1)) + 1)
A211354-A211352: 1 1 1 1 1 1 1 2 1 2 1 1 2 2 3 1
(x mod ((x div ((((((x + 1) div 2) + 1) mod (2 + 1)) + 2) + 1)) + 1))
A327188: 0 0 0 1 0 1 0 1 0 1 2 2 0 1 2 3
(((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + 1)
A043554: 1 1 2 1 2 3 2 1 2 3 4 3 2 3 2 1
((x - (1 div ((((x + 2) mod ((2 + 2) * (2 + 1))) * 2) - 1))) + 1)
A306866-A239086: 1 2 3 4 5 6 7 8 9 10 12 11 13 14 15 16
(x - ((((2 + 2) + 1) mod (((x + 1) mod ((2 + 1) * 2)) + 1)) - 1))
A291306: 0 0 2 4 0 6 6 6 8 10 6 12 12 12 14 16
(((x + 2) mod (((x - (x div (2 + 2))) mod ((2 + 1) * 2)) + 1)) + 1)
A177868: 1 2 2 2 3 3 3 1 1 2 1
((((x * 2) - (x div ((2 + 2) + 1))) mod (((2 + 1) * 2) + 1)) + 1)
A131214: 1 3 5 7 2 3 5 7 2 4 5 7 2 4 6 7
((((((x + 1) * x) div 2) * (2 + 1)) * (((2 + 1) * 2) + 1)) + 1)
A069178: 1 22 64 127 211 316 442 589 757 946 1156 1387 1639 1912 2206 2521
(((2 + 1) * x) - ((((x * 2) + 1) div (((2 + 1) * 2) + 1)) - 1))
A184589: 1 4 7 9 12 15 18 20 23 26 28 31 34 37 39 42
((((((x div (2 + 1)) * 2) + x) + 1) mod (((2 + 1) * 2) + 1)) + 1)
A274767: 2 3 4 7 1 2 5
(((((x div (2 + 1)) + 1) * (x + 1)) div (((2 + 1) * 2) + 1)) + 1)
A086160-A029047: 1 1 1 2 2 2 4 4 4 6 7 7 10 11 11 14
(((((2 + 2) * (x + 1)) * (x + 1)) * (((2 + 1) * 2) + 1)) - 1)
A158554: 27 111 251 447 699 1007 1371 1791 2267 2799 3387 4031 4731 5487 6299 7167
((((x + 1) * 2) - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) + 1)
A185050: 3 5 7 8 10 12 13 15 17 19 20 22 24 25 27 29
(((2 + 1) * x) - ((((x + 2) * 2) div (((2 + 1) * 2) + 1)) - 1))
A231407: 1 4 6
A060644: 1 4 6 9 12 14 17 20 23 25 28 31 33 36 39 42
(((2 + 1) * x) - ((((x - 2) * 2) div (((2 + 1) * 2) + 1)) - 1))
A057347: 2 5 7 10 13 16 18 21 24 26 29 32 35 37 40 43
((((((x * x) div (2 + 1)) - x) div 2) div (((2 + 1) * 2) + 1)) + 1)
A179046: 1 0 0 1 1 1 1 1 1 2 2 3 3 4 4 5
((((((x div (2 + 1)) - 2) * x) div 2) div (((2 + 1) * 2) + 1)) + 1)
A017852: 1 0 0 0 0 0 1 1 1 1 1 1 2 2 3 4
(((2 + 1) * x) - ((((2 - x) * 2) div (((2 + 1) * 2) + 1)) - 1))
A081834: 1 4 7 11 14 17 21 24 27 30 34 37 40 44 47 50
(x div (x - (((((x - 2) * x) div 2) div (((2 + 1) * 2) + 1)) - 1)))
A027195: 0 0 0 0 0 1 1 1 1 1 1 2 2 3 4 5
(((((x div ((2 + 2) + 1)) + 1) * x) div (((2 + 1) * 2) + 1)) + 1)
A029093: 1 1 1 1 1 2 2 3 3 3 5 5 6 6 7 9
(((x * 2) - (((x mod (2 + 1)) + x) div (((2 + 1) * 2) + 1))) + 1)
A187413: 1 3 5 7 9 10 13 14 16 18 20 22 24 25 27 29
((((((x + 1) div 2) div 2) div 2) * (x - (((2 + 1) * 2) + 1))) + 1)
A274840: 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 17
((((x + 2) div ((2 + 2) + 1)) + (x div (((2 + 1) * 2) + 1))) + 1)
A120501: 1 1 1 2 2 2 2 3 4 4 4 4 4 5 6 6
((x * 2) div (((x * 2) - ((x * x) mod (((2 + 1) * 2) + 1))) + 1))
A185058: 0 1 4 1 1 1 1 0 1 1 1 1 1 1 0 1
(((x div ((2 + 2) + 1)) div (((x * x) mod ((2 + 1) * 2)) + 1)) + 1)
A094102: 1 1 1 1 1 1 2 1 1 1 1 2 3 2 1 1
(((((x + 2) * x) div 2) mod ((x div ((x div (2 + 1)) + 2)) + 1)) + 1)
A333749: 1 1 1 2 1 2 1 2 2 2 1 3 1 2 2 2
(((x div ((2 + 2) + 1)) div ((x mod ((x mod (2 + 1)) + 2)) + 1)) + 1)
A242397: 1 1 1 1 1 1 2 1 2 1 2 1 3 2 1 2
(((x mod 2) - ((1 - x) div ((((2 - (x mod 2)) + 1) * 2) + 1))) + 1)
A338720: 1 2 2 3 2 3 2 4 2 4 3 4 3 5 3 5
((2 mod ((x mod ((((2 + 2) * (2 + 1)) mod (x + 1)) + 2)) + 1)) + 1)
A060839: 1 1 1 1 1 1 3 1 3 1 1 1 3 3 1 1
(x div ((x div (2 - ((x * 2) mod ((x div ((0 - 2) - 2)) - 1)))) + 1))
A329656: 0 1 1 1 1 2 1 2 2 3 1 3 1 4 3 1
(((x * 2) mod (((2 - x) mod (2 - (x mod ((0 - 2) - 2)))) + 1)) + 1)
A344972-A224765: 1 1 1 1 1 2 1 1 1 3 1 1 1 2 1 1
(((x div 2) div (((x mod ((((x mod 2) * 2) + 1) * 2)) * 2) + 1)) + 1)
A130747: 1 1 2 1 3 1 4 2 5 1 6 1 7 3 8 2
(((2 - x) div ((((((x * x) div 2) mod (2 + 1)) + 2) * 2) + 1)) + 1)
A016408: 1 1 1 0 0 0 0 0 0 0 0 ~1 ~1 ~2 ~1 ~1
(((x div 2) div (((((x * x) - 2) mod ((2 + 1) * 2)) * 2) + 1)) + 1)
A297877: 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 3
(((x - 1) mod ((((1 - x) mod ((x div (2 + 1)) + 2)) * 2) - 1)) + 1)
A111946-A094392: 1 1 1 1 1 2 1 1 1 3 1 1 1 1 5 1
((x mod ((((x mod ((((x mod 2) * 2) + 1) * 2)) * 2) * 2) - 1)) + 1)
A256908: 1 2 1 4 1 6 1 2 1 10 1 12 1 2 1 5
(x - ((x div ((((((x - 1) div (2 + 1)) mod 2) + 2) * 2) + 1)) - 1))
A157466: 1 2 3 4 5 6 7 7 8 9 10 11 12 12 13 13
(x div ((x mod (((((x + 2) mod ((2 + 1) * 2)) + 2) + 2) + 1)) + 1))
A343102: 0 0 0 0 0 0 0 0 0 0 10 1 2 2 2 2
(((x + 1) div (((x div ((x mod ((2 + 1) * 2)) + 2)) + 2) + 1)) + 1)
A331853: 1 1 2 2 2 3 2 2 2 3 3 4 2 3 3 3
((x div (((x + 2) div ((((x div (2 + 1)) mod 2) + 2) + 2)) + 1)) + 1)
A331245: 1 2 2 2 3 3 3 3 3 4 4 4 4 4 3 4
((x mod ((x div ((x div (((x mod (2 + 1)) div 2) + 2)) + 2)) + 1)) + 1)
A217581: 1 1 1 2 1 2 1 2 3 2 1 3 1 2 3 2
((x mod (((((x div 2) - ((x - 1) mod (2 + 2))) div 2) * 2) + 1)) + 1)
A086767: 1 1 1 1 1 3 1 1 1 5 1 3 1 7 1 1
(((((x + 1) * 2) * (x + 1)) * ((((2 + 2) * 2) * 2) + 1)) - 1)
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(((((x + 1) * 2) * (x + 1)) * ((((2 + 2) * 2) * 2) - 1)) - 1)
A158560: 29 119 269 479 749 1079 1469 1919 2429 2999 3629 4319 5069 5879 6749 7679
(((x * 2) - (x div (((((1 - x) mod (2 + 2)) + 2) + 2) + 1))) + 1)
A187347: 1 3 5 7 9 10 13 14 16 18 20 22 23 25 28 29
((x div (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1)) + 1)
A322035-A217434: 1 2 3 4 5 3 7 8 9 5 11 6 13 7 5 16
(((0 - x) - 1) mod ((x mod ((((x div (2 + 2)) + 2) * 2) + 1)) + 1))
A035584: 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 4
(((x - 1) mod (((x + 2) div (((x mod (2 + 2)) + 2) * 2)) + 1)) + 1)
A103689: 1 1 1 1 2 1 2 1 2 1 2 1 4 1 2 1
(1 - ((x * x) mod ((x mod ((((x + 1) mod (2 + 2)) * 2) + 1)) + 1)))
A267292: 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1
(((x * 2) mod ((((((x div 2) + 1) div 2) mod (2 + 2)) * 2) - 1)) + 1)
A304972-A152176-A152175: 1 1 1 1 1 1 1 3 2 1 1 3 5 2 1 1
(x - (((x + 1) div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1)) - 1))
A252649: 1 2 3 4 5 6 7 7 8 9 10 10 11 12 12 12
(((x - (((x + 1) * x) * (2 + 1))) mod (((2 + 2) * 2) + 1)) + 1)
A193090: 1 5 3 4 8 6 7 2 9 1 5 3 4 8 6 7
(((((x mod 2) + x) * ((x * 2) + 1)) * (((2 + 2) * 2) + 1)) + 1)
A128880: 1 55 91 253 325 595 703 1081 1225 1711 1891 2485 2701 3403 3655 4465
(((x div (2 + 1)) - (((2 - x) + 1) div (((2 + 2) * 2) + 1))) + 1)
A156077: 1 1 1 2 3 3 4 4 4 5 5 5 6 7 7 8
((((x mod (((2 + 2) * 2) + 1)) + 2) * (((2 + 2) * 2) + 1)) + 1)
A084364: 19 28 37 46 55 64 73 82 91 19 28 37 46 55 64 73
((((x - ((2 - x) div (2 + 2))) * 2) * (((2 + 2) * 2) + 1)) + 1)
A301617: 1 19 37 73 91 109 127 163 181 199 217 253 271 289 307 343
((((((x * x) * (2 + 1)) + x) div 2) * (((2 + 2) * 2) + 1)) + 1)
A093485: 1 19 64 136 235 361 514 694 901 1135 1396 1684 1999 2341 2710 3106
(((2 + 1) * x) - ((((1 - x) * 2) div (((2 + 2) * 2) + 1)) - 1))
A342279: 1 4 8 11 14 17 21 24 27 30 33 37 40 43 46 50
((x div (2 + 1)) div (((1 - (x * 2)) mod (((2 + 2) * 2) + 1)) + 1))
A333979: 0 0 0 0 0 1 0 0 0 1 0 0 0 1 4 0
(((x - 1) * x) mod ((((x - 1) * x) mod (((2 + 2) * 2) + 1)) - 1))
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((((2 + 2) * 2) mod ((((x + 1) * x) mod ((2 + 2) * 2)) + 1)) + 1)
A110550: 1 3 2 4 4 2 3 1 1 3 2 4 4 2 3 1
(((1 - (x * x)) mod ((((x - 1) * x) mod ((2 + 2) * 2)) - 1)) + 1)
A031244: 1 1 1 3 1 1 1 1 1 1 1 1 2 1 1 1
((((x + 2) * x) div ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1)
A152020: 1 1 9 2 25 9 49 8 81 25 121 18 169 49 225 32
((((((x + 1) div 2) div 2) div 2) * ((x div ((2 + 2) * 2)) + 1)) + 1)
A035441: 1 1 1 1 1 1 1 2 3 3 3 3 3 3 3 5
(((x div (2 + 2)) mod (((x + 1) mod ((x div (2 + 2)) + 2)) + 1)) + 1)
A264404: 1 1 1 1 2 1 2 2 1 3 3 1 4 4 1 2
((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + 1)
A335521-A335450-A332288-A326516-A324837-A324191-A323087-A322373-A303707-A300831-A285572-A179926-A081707-A008480: 1 1 1 1 1 2 1 1 1 2 1 3 1 2 2 1
(((((x + 2) * x) div 2) mod ((x div ((x div (2 + 2)) + 2)) + 1)) + 1)
A337135-A113309: 1 1 1 2 1 2 1 2 2 2 1 3 1 2 2 4
((x div ((((x - ((x div 2) mod 2)) div ((x mod 2) + 2)) mod 2) + 1)) + 1)
A235602: 1 2 3 4 5 3 7 8 9 5 11 6 13 14 15 16
((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) * 2)) + 1)) + 1)
A111701-A076934: 1 1 3 2 5 1 7 4 9 5 11 2 13 7 15 8
(x mod ((((x div 2) * x) div (((x div ((x mod 2) + 2)) + 2) + 1)) + 1))
A237531: 0 0 0 0 0 2 2 2 3 2 3 1 3 1 4 1
((x mod (((x div 2) div ((2 - (x mod ((x mod 2) + 2))) + 2)) + 1)) + 1)
A060938: 1 1 1 1 1 2 1 2 1 2 1 3 1 2 1 2
((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)
A331178-A324912-A322885-A292582-A290109-A290107-A212180-A091050-A072411-A008479-A005361: 1 1 1 2 1 1 1 3 2 1 1 2 1 1 1 4
((((((x + 1) * x) div 2) * ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1)
A262221: 1 26 76 151 251 376 526 701 901 1126 1376 1651 1951 2276 2626 3001
(((x - ((1 - (x div 2)) div ((2 + 2) + 1))) mod ((2 + 2) + 1)) + 1)
A053344: 1 2 3 4 1 2 3 4 5 1 2 3 4 5 2 3
(((((((2 + 1) * x) + 2) * 2) * (2 + 1)) div ((2 + 2) + 1)) + 1)
A322533: 3 7 10 14 17 21 25 28 32 35 39 43 46 50 53 57
(((((((x + 2) + 1) * x) div 2) * (2 + 1)) div ((2 + 2) + 1)) + 1)
A231408: 1 2 4 6 9
A025705-A025697-A022792: 1 2 4 6 9 13 17 22 27 33 40 47 55 63 72 82
((((((2 + 2) * 2) * (x + 1)) * (x + 1)) * ((2 + 2) + 1)) - 1)
A158598: 39 159 359 639 999 1439 1959 2559 3239 3999 4839 5759 6759 7839 8999 10239
(((((x + 1) * 2) * (2 + 1)) + ((x + 1) div ((2 + 2) + 1))) - 1)
A184525: 5 11 17 23 30 36 42 48 54 61 67 73 79 85 92 98
(((x + 1) * 2) - ((0 - 2) mod (((x + 1) div ((2 + 2) + 1)) + 1)))
A248609: 2 4 6 8 10 12 14 16 18 19 21 23 25 27 28 30
((((x div ((2 + 2) + 1)) + x) + ((x + 1) div ((2 + 2) + 1))) + 1)
A047302-A039034: 1 2 3 4 6 8 9 10 11 13 15 16 17 18 20 22
(((x * x) * (x * x)) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070572: 0 1 16 23 24 16 20 23 7 7 24 25 1 25 20 20
(((((((x + 2) * 2) + x) * (x + 1)) div 2) * ((2 + 2) + 1)) + 1)
A093500: 11 36 76 131 201 286 386 501 631 776 936 1111 1301 1506 1726 1961
(((((((x + 1) * x) * (2 + 1)) + 2) * 2) div ((2 + 2) + 1)) + 1)
A265078: 1 4 9 16 25 37 52 69 88 109 133 160 189 220 253 289
(((x * x) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070584: 0 1 16 40 10 10 25 23 37 1 37 4 31 25 40 31
(((x * x) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070582: 0 1 16 3 22 1 9 22 1 9 16 16 27 13 1 3
(x - (((x div (((2 - (x mod 2)) + 2) + 2)) * ((2 + 2) + 1)) - 1))
A338491: 1 2 3 4 5 1 2 3 4 5 6 2 3 4 5 1
(((((x + 1) * x) - ((x * x) div (2 + 2))) div ((2 + 2) + 1)) + 1)
A190269: 1 1 2 3 4 5 7 9 12 15 18 21 25 29 33 37
(((((((x + 1) div 2) div (2 + 1)) + x) + 2) * ((2 + 2) + 1)) + 1)
A227080: 11 16 21 26 31 41 46 51 56 61 66 76 81 86 91 96
((((2 + 2) * (x + 1)) - (((1 - x) * 2) div ((2 + 2) + 1))) - 1)
A286923: 3 7 12 16 21 25 29 34 38 43 47 51 56 60 65 69
((((((((2 + 2) + 1) * x) - 1) * x) div 2) * ((2 + 2) + 1)) + 1)
A081587: 1 11 46 106 191 301 436 596 781 991 1226 1486 1771 2081 2416 2776
(((((((x * x) * (x * x)) - 1) * x) div 2) div ((2 + 2) + 1)) - 1)
A131176: ~1 ~1 2 23 101 311 776 1679 3275 5903 9998 16103 24881 37127 53780 75935
(((((2 - (x div ((0 - 2) - 2))) * x) div 2) div ((2 + 2) + 1)) + 1)
A025772: 1 1 1 1 2 3 3 3 4 5 6 6 7 8 9 10
(((0 - x) - 1) mod (((x div 2) - ((x * 2) div ((2 + 2) + 1))) + 1))
A322389: 0 0 1 0 1 0 1 0 1 0 1 0 2 0 0 0
(((x div ((2 + 2) * 2)) + 1) div (((x * 2) mod ((2 + 2) + 1)) + 1))
A025888: 1 0 0 0 0 1 0 0 1 0 2 0 0 1 0 2
((x + 1) div (((((2 + 2) * 2) - (x div 2)) * ((2 + 2) + 1)) - 1))
A210631: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4
((((x * 2) * 2) - (((2 - x) - (x div 2)) div ((2 + 2) + 1))) + 1)
A001958: 1 5 10 14 18 22 27 31 35 40 44 48 53 57 61 65
(((x div ((2 + 2) * 2)) + 1) div (((0 - x) mod ((2 + 2) + 1)) + 1))
A025891: 1 0 0 0 0 1 0 0 0 1 2 0 0 0 1 2
((2 + 2) mod (((((x div (2 + 1)) + 1) * x) mod ((2 + 2) + 1)) + 1))
A308278-A308277: 0 0 1 0 0 0 0 0 4 0 0 4 0 0 0 0
(x - (((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1)) - 1))
A039211: 1 3 4 5 6 7 8 9 10 11 13 15 16 17 18 19
((((x * 2) * 2) - (((x div (2 + 1)) + x) div ((2 + 2) + 1))) + 1)
A080590: 1 5 9 13 16 20 24 28 31 35 39 43 46 50 54 57
(x - (((((x div 2) mod ((2 + 1) * 2)) - x) div ((2 + 2) + 1)) - 1))
A105048: 1 3 4 5 6 7 8 9 10 11 12 14 16 17 18 19
(((1 - x) div ((2 + 2) + 1)) mod (((2 - x) mod ((2 + 2) + 1)) + 1))
A071692: 0 0 0 4 3 2 1 0 3 2 1 0 0 2 1 0
((((x * 2) div (2 + 1)) - (((x mod 2) + x) div ((2 + 2) + 1))) + 1)
A156262: 1 1 2 3 3 3 4 4 5 5 5 6 7 7 8 8
(((((x * x) + 1) div ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) + 1)
A117450: 1 1 2 3 4 7 9 12 15 18 23 27 32 37 42 49
((((x * 2) - ((2 - x) div (2 + 2))) - (x div ((2 + 2) + 1))) + 1)
A097911: 1 3 5 8
A189755: 1 3 5 8 10 11 13 16 18 20 21 24 26 28 30 32
((x div 2) div (2 - ((x + 1) mod (0 - ((x div ((2 + 2) + 1)) + 1)))))
A161310-A161296-A161244-A161080-A161029-A160975: 0 0 0 0 1 1 1 1 1 2 1 2 1 2 3 3
((x - (((x mod (2 + 1)) mod 2) + 1)) mod ((x div ((2 + 2) + 1)) + 1))
A230196: 0 0 0 0 0 0 1 1 1 0 2 1 2 2 1 2
((((x * 2) mod ((x div 2) + 2)) mod 2) * ((x div ((2 + 2) + 1)) + 1))
A308223: 0 0 1 0 0 0 0 0 0 0 0 3 0 0 3 4
(x - ((x div (2 + 1)) - (2 - (2 div ((x div ((2 + 2) + 1)) + 1)))))
A140200: 0 1 2 2 3 5 5 6 7 7 9 10 10 11 12 12
(((((x div (2 + 2)) mod 2) + x) div 2) div ((x div ((2 + 2) + 1)) + 1))
A081355: 0 0 1 1 2 1 1 2 2 2 1 1 2 2 2 2
(((((x div 2) * x) div (2 + 2)) - x) mod ((x div ((2 + 2) + 1)) + 1))
A036865: 0 0 0 0 0 1 0 0 0 0 2 2 0 0 1 3
((((((2 + 2) * (2 + 1)) + x) * 2) - (x mod ((2 + 2) + 1))) + 1)
A140058: 25 26 27 28 29 35 36 37 38 39 45 46 47 48 49 55
((((0 - x) - 1) * ((2 + 2) + 1)) mod ((x mod ((2 + 2) + 1)) + 1))
A037882-A037846: 0 0 0 0 0 0 1 2 3 0 0 0 1 2 0 0
((((x div ((((2 + 2) * 2) * 2) - x)) + x) div ((2 + 2) + 1)) + 1)
A005854: 1 1 1 1 1 2 2 2 2 3 3 3 4 4 5 7
(((x div ((2 + 2) * 2)) + 1) div (((x * x) mod ((2 + 2) + 1)) + 1))
A029409: 1 0 0 0 0 1 0 0 0 1 2 1 0 0 1 2
(x mod ((((x div (2 + 2)) + 1) div (((0 - x) mod (2 + 2)) + 1)) + 1))
A051777: 0 0 0 0 1 0 0 1 0 0 0 1 2 1 0 0
(((x div 2) div (2 + 1)) div ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1))
A322795-A079071: 0 0 0 0 0 0 1 0 0 0 1 0 2 1 2 0
(((x - 1) div 2) mod ((((x * 2) - 1) mod ((x div (2 + 2)) + 1)) + 1))
A236533: 0 0 0 0 1 0 0 1 0 1 0 0 1 0 2 1
((((x div 2) + 1) div (2 + 1)) div ((x mod ((x mod (2 + 2)) + 1)) + 1))
A214625: 0 0 0 0 1 0 1 0 1 0 1 0 2 1 0 0
(((((((2 + 2) * 2) * 2) + 1) * x) div (((x + 2) + 2) + 1)) + 1)
A137203: 1 3 5 7 8 9 10 10 11 11 12 12 13 13 13 13
(((((x * x) div ((x + 2) + 1)) * x) div (((x + 2) + 2) + 1)) + 1)
A029086: 1 1 1 1 1 2 3 3 4 4 5 6 7 8 9 10
(x - (((2 - x) div (((((2 + 2) * 2) - (x div 2)) * 2) + 1)) - 1))
A284763-A144146-A119605-A090240: 1 2 3 5 6 7 8 9 10 11 13 14 15 17 19 21
(x div ((x div (((((x mod (2 + 1)) div 2) - (x mod 2)) + 2) + 1)) + 1))
A263569: 0 1 2 1 2 2 2 1 2 1 2 2 2 1 3 1
(((1 - (x div (2 + 1))) mod (((2 - x) mod ((x mod 2) + 2)) + 1)) + 1)
A030612: 1 2 1 1 1 1 1 2 1 2 1 1 1 2 1 3
(1 - ((x + 1) mod (0 - ((x mod ((x div ((x mod 2) + 2)) + 1)) + 1))))
A165818: 1 1 1 1 2 1 3 1 4 1 5 1 6 3 7 1
(((((((x - 1) div 2) * (x - 2)) div (2 + 1)) + 1) div (2 + 1)) + 1)
A050365: 1 1 1 1 1 2 2 3 3 4 4 6 6 8 9 11
(x - ((((((x div 2) - (x * 2)) * (2 + 1)) - 1) * (2 + 1)) - 1))
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((((x div (2 + 2)) div (((1 - x) mod (2 + 1)) + 1)) mod (2 + 1)) + 1)
A308972: 1 1 1 1 2 1 1 2 1 2 3 1 2 1 2 2
((((((x + 1) * x) + 1) mod (((2 + 1) * 2) + 1)) div (2 + 1)) + 1)
A028293: 1 2 1 3 1 2 1 1 2 1 3 1 2 1 1 2
((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1))
A071325-A064727: 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 2
(((((x * x) * (2 + 1)) mod (((x + 1) div 2) + 1)) div (2 + 1)) + 1)
A206487: 1 1 1 1 1 2 1 1 1 2 1 3 2 2 2 1
((((x + 2) div (2 - (x mod (((0 - 2) - 2) - 1)))) div (2 + 1)) + 1)
A319193: 1 1 1 1 1 2 1 1 1 2 3 1 1 2 2 3
((((x - (((x div 2) + 1) mod ((2 + 2) * 2))) + 1) div (2 + 1)) + 1)
A092670: 1 1 1 1 1 2 2 2 2 2 2 3 3 3 6 6
(x - (((1 - ((x * x) div (((2 + 2) * 2) + 1))) div (2 + 1)) - 1))
A056177: 1 2 3 4 5 7 8 10 11 13 15 16 18 20 22 24
((((x div 2) - (x mod (((x div (2 + 2)) + 2) + 1))) div (2 + 1)) + 1)
A060244: 1 0 0 1 1 1 1 1 1 1 2 2 3 2 2 2
(((1 - ((2 - x) mod (((x mod (2 + 2)) * 2) - 1))) mod (2 + 1)) - 1)
A072786: 0 0 0 ~1 0 0 1 0 0 0 ~1 ~1 0 0 0 1
(((x div (((x mod (2 + 2)) + 1) * ((2 + 2) + 1))) * (2 + 1)) + 1)
A131299: 1 1 1 1 1 1 1 1 4 1 1 1 7 4 1 1
(((x - 1) div 2) mod ((((x + 1) mod ((2 + 2) + 1)) mod (2 + 1)) + 1))
A278515: 1 0 0 1 0 0 2 0 1 0 0 2 0 0 0 1
((x * x) div (((x - ((x * 2) div ((2 + 2) + 1))) * (2 + 1)) - 1))
A194198: 0 0 0 1 2 3 3 3 4 4 5 6 6 7 7 8
((x - ((((2 - x) - (x * 2)) div ((2 + 2) + 1)) * (2 + 1))) + 1)
A079259: 1 5 6 10 11 15 19 20 24 25 29 33 34 38 39 43
(((2 + 1) * x) - (((x - (x div ((2 + 2) + 1))) div (2 + 1)) - 1))
A180122-A062458: 1 4 7 9 12 15 18 20 23 26 29 31 34 37 39 42
(((((x * x) * (x - 1)) mod (((x + 2) * 2) + 1)) mod (2 + 1)) + 1)
A306211: 1 1 2 2 1 2 2 1 2 2 1 2 1 2 2 1
((((x * 2) - (((x div 2) div (2 + 1)) * (2 + 1))) * (2 + 1)) + 1)
A225227: 1 7 13
A080199: 1 7 13 19 25 31 28 34 40 46 52 58 55 61 67 73
(((x - ((((x div (2 + 1)) - x) - 1) div (2 + 1))) mod (2 + 1)) + 1)
A190496: 2 3 1 2 1 2 3 1 3 1 2 3 1 3 1 2
((x + 2) mod ((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) + 1))
A333487: 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 2
(x - ((((x - ((x div (2 + 2)) mod 2)) div (2 + 1)) * (2 + 1)) - 1))
A338482-A281367-A104246: 1 2 3 1 2 3 4 2 3 1 2 3 4 2 3 4
(((x * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070580: 0 1 16 7 34 33 1 33 26 12 10 26 16 34 10 9
((((x * 2) * 2) * 2) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A344538: 0 8 16 24 32 5 13 21 29 2 10 18 26 34 7 15
(((x * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A070578: 0 1 16 11 11 30 1 21 1 16 25 11 16 1 21 15
(((((((x * 2) * 2) + 1) mod (x + 2)) div (2 + 1)) mod (2 + 1)) + 1)
A238013: 1 1 1 2 2 1 1 1 2 2 2 3 3 3 1 1
((((2 - ((1 - x) div (2 + 1))) * (x div (2 + 1))) div (2 + 1)) + 1)
A029054: 1 1 1 2 2 2 3 3 4 6 6 7 9 9 10 12
((x - 2) mod (((((x div 2) + 1) + (x div (2 + 1))) mod (2 + 1)) + 1))
A126205: 0 1 0 0 0 1 0 0 0 1 0 0 1 2 0 1
(((x * x) * 2) div (x - (((1 - (x div (2 + 1))) div (2 + 1)) - 1)))
A176693: 0 1 2 4 6 8 9 10 12 14 16 18 20 22 24 25
((((((x - 1) * x) - 1) * (2 - (x div (2 + 1)))) mod (2 + 1)) - 1)
A318706: 0 0 1 1 1 0 ~1 ~1 ~1 0 0 1 1 1 0 ~1
((((((x + 1) mod (2 + 1)) - 1) * ((x * 2) + 1)) div (2 + 1)) + 1)
A332056: 1 2 ~1 1 4 ~3 1 6 ~5 1 8 ~7 1 10 ~9 1
((((((x mod (2 + 1)) mod 2) + 1) * ((x * 2) + 1)) div (2 + 1)) + 1)
A332057: 1 3 2 3 7 4 5 11 6 7 15 8 9 19 10 11
(((((x div 2) * x) * 2) + 1) mod ((((x div 2) + 1) div (2 + 1)) + 1))
A061358: 0 0 0 0 1 1 1 1 1 1 2 0 1 1 2 1
(((((x div 2) - 1) * x) * x) mod ((((x div 2) + 1) div (2 + 1)) + 1))
A284264-A089310: 0 0 0 0 0 1 0 0 0 1 1 1 0 2 0 0
(((x mod ((2 + 2) * 2)) + 1) mod ((((x div 2) + 1) mod (2 + 1)) + 1))
A320808: 1 0 0 1 0 0 1 0 1 2 0 0 1 0 1 2
(((((((x + 1) * x) * (2 + 1)) + 1) * (x + 1)) * (2 + 1)) - 1)
A287335: 2 41 170 443 914 1637 2666 4055 5858 8129 10922 14291 18290 22973 28394 34607
(((((((2 + 2) + 1) * (x + 1)) + 1) * (x + 1)) * (2 + 1)) + 1)
A165806: 19 67 145 253 391 559 757 985 1243 1531 1849 2197 2575 2983 3421 3889
(x - ((((((x * x) * (0 - x)) div 2) * (x + 1)) div (2 + 1)) - 1))
A332866: 1 3 7 23 59
((((((x - 1) * x) div 2) + ((x * 2) * (x + 1))) * (2 + 1)) + 1)
A220083: 1 13 40 82 139 211 298 400 517 649 796 958 1135 1327 1534 1756
(((((x + 2) * 2) div (2 + 1)) * 2) * (((x + 1) div (2 + 1)) + 1))
A324174: 2 4 8 12 16 24 30 36 48 56 64 80 90 100 120 132
(((((((x * 2) * (x + 1)) * (2 + 1)) + 1) * 2) * (2 + 1)) - 1)
A001513: 5 77 221 437 725 1085 1517 2021 2597 3245 3965 4757 5621 6557 7565 8645
((((((((x mod 2) + x) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1)
A082479: 1 2 2 3 3 4 4 5 5 5 5 7 7 7 7 8
((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) * 2) div (2 + 1)) + 1)
A287641-A265312: 1 1 1 1 1 1 1 1 2 1 1 1 2 5 1 1
((((((x - ((x div 2) div (2 + 1))) div 2) + 1) * 2) div (2 + 1)) + 1)
A171895: 1 1 2 2 3 3 3 3 3 4 4 5 5 5 5 5
(x - (((((x + 1) div (((2 + 1) * 2) + 1)) * 2) * (2 + 1)) - 1))
A338495-A338480-A234533: 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4
(1 - (x div ((((x mod (((0 - 2) - 2) - 1)) - 2) * (2 + 1)) - 1)))
A303378: 1 2 2 2 2 2 2 2 2 2 3 2 2 2 3 4
(((((x - (2 + 1)) mod (((2 + 2) * 2) + 1)) div 2) mod (2 + 1)) + 1)
A268811-A100480: 1 1 2 1 1 2 2 3 3 1 1 2 1 1 2 2
((((((x + 2) * x) div (((2 + 2) * 2) + 1)) + 2) div (2 + 1)) + 1)
A000929: 1 1 1 2 2 2 3 4 4 5 6 6 7 8 9 11
(((((((x + 1) div 2) + 1) mod ((2 + 2) + 1)) mod 2) * (2 + 1)) + 1)
A053239: 4 1 1 4 4 1 1 1 1 4 4 1 1 4 4 1
(((1 - x) div ((((x - 1) mod ((2 + 2) + 1)) + 2) * (2 + 1))) + 1)
A016426-A016405-A016394-A014031: 1 1 0 0 0 0 0 0 0 0 0 ~1 ~1 0 0 0
(((((x - 1) * x) div ((x div ((2 + 2) + 1)) + 2)) mod (2 + 1)) + 1)
A228349: 1 1 2 1 1 1 2 3 1 1 2 1 1 1 1 1
((x div 2) mod (((x - ((x div ((2 + 2) + 1)) mod 2)) div (2 + 1)) + 1))
A178930: 0 0 0 1 0 0 1 0 1 1 1 1 1 1 2 2
(((x mod (((x * x) mod (((x + 2) + 2) + 1)) - 2)) div (2 + 1)) + 1)
A342323: 1 1 1 1 2 1 1 1 3 1 1 2 1 2 1 1
(((((((x + 2) + 1) * (x + 2)) + (2 + 1)) * 2) * (2 + 1)) + 1)
A027865: 55 91 139 199 271 355 451 559 679 811 955 1111 1279 1459 1651 1855
((((x - 2) * x) * (x - 1)) div ((((2 + 1) * 2) * (2 + 1)) + 1))
A011901: 0 0 0 0 1 3 6 11 17 26 37 52 69 90 114 143
((((x * x) * x) * (x * x)) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070603: 0 1 13 15 17 9 5 11 12 16 3 7 8 14 10 2
(((((((x div ((2 + 2) + 1)) + x) * 2) + 1) * 2) div (2 + 1)) + 1)
A047501: 1 3 4 5 7 9 11 12 13 15 17 19 20 21 23 25
((((((((x + 2) * 2) + x) * (x * 2)) + 1) * 2) * (2 + 1)) + 1)
A085026: 7 91 247 475 775 1147 1591 2107 2695 3355 4087 4891 5767 6715 7735 8827
((x * 2) div (((((x div 2) div ((x mod 2) + 1)) + 2) * (2 + 1)) - 1))
A035439: 0 0 0 1 0 1 0 1 0 1 1 2 1 1 1 2
(((x mod ((((x - (2 + 2)) * 2) mod (x + 1)) + 2)) div (2 + 1)) + 1)
A072906: 1 1 1 2 1 1 1 3 3 1 1 2 1 1 1 3
(((x mod (((x mod 2) - 2) * 2)) + (((x + 1) * 2) * (2 + 1))) + 1)
A091573: 7 12 17 24 31 36 41 48 55 60 65 72 79 84 89 96
(((((x + 1) * 2) * (2 + 1)) - (((x + 1) div 2) div (2 + 1))) - 1)
A190337: 5 11 17 23 29 34 40 46 52 58 64 69 75 81 87 93
((((((2 + 2) + 1) * x) + 2) - (((x + 1) div 2) div (2 + 1))) + 1)
A184921: 3 8 13 18 23 27 32 37 42 47 52 56 61 66 71 76
((((((((2 + 2) * 2) + x) * x) * (x + 1)) div 2) div (2 + 1)) + 1)
A027378: 1 4 11 23 41 66 99 141 193 256 331 419 521 638 771 921
(((x * 2) - (((((x - 2) * x) * (x - 1)) div 2) div (2 + 1))) + 1)
A081498: 1 3 5 6 5 1 ~7 ~20 ~39 ~65 ~99 ~142 ~195 ~259 ~335 ~424
(((x div 2) div (2 - ((x * x) mod (((0 - 2) - 2) * (2 + 1))))) + 1)
A326851: 1 1 1 1 1 1 2 1 1 1 1 1 4 1 1 2
(((1 - ((((x div (2 + 1)) * x) div (0 - 2)) div 2)) div (2 + 1)) + 1)
A029102: 1 1 1 1 1 2 2 2 2 3 4 4 5 5 6 7
((((x - (((x div (2 + 2)) + x) div (0 - 2))) + 2) * (2 + 1)) - 1)
A284396: 5 11 14 20 26 29 35 38 44 50 53 59 65 68 74 77
((((((x * 2) - (x mod ((0 - 2) - 1))) * 2) * 2) div (2 + 1)) + 1)
A047591: 1 6 7 9 14 15 17 22 23 25 30 31 33 38 39 41
(((((x - (x div (((0 - 2) - 2) - 1))) * 2) * 2) div (2 + 1)) + 1)
A047584: 1 3 5 6 7 9 11 13 14 15 17 19 21 22 23 25
(((((x - ((1 - x) div ((2 + 2) + 1))) * 2) * 2) div (2 + 1)) + 1)
A047580: 1 2 5 6 7 9 10 13 14 15 17 18 21 22 23 25
(((((((x div (2 + 2)) + x) * (2 + 1)) + 2) * 2) * (2 + 1)) + 1)
A301622: 13 31 49 67 103 121 139 157 193 211 229 247 283 301 319 337
(((((((x + 1) * 2) - (x mod (2 + 1))) * 2) * 2) div (2 + 1)) + 1)
A047443: 3 5 6 11 13 14 19 21 22 27 29 30 35 37 38 43
((((2 + 2) + 1) * x) mod (((((2 + 2) * 2) * 2) * (2 + 1)) + 1))
A336483: 0 5 10 15 20 25 30 35 40 45 1 6 11 16 21 26
(((x * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070590: 0 1 16 34 21 14 27 4 7 28 36 24 9 32 17 6
(((x + 2) + 1) div ((((x div ((2 + 2) * 2)) + 2) * (2 + 1)) - 1))
A338521: 0 0 1 1 1 1 1 2 1 1 1 1 1 2 2 2
(((((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2)) mod (2 + 1)) + 1)
A204253: 3 1 1 2 2 2 3 3 3 3 1 1 1 1 1 2
(((1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (2 + 1)) + 1)
A124749: 1 0 1 0 0 1 0 0 0 1 0 0 0 ~1 1 0
(((x mod (2 + 2)) - ((((x div (2 + 2)) mod 2) * 2) * (2 + 1))) + 1)
A131974: 1 2 3 4 ~5 ~4 ~3 ~2 1 2 3 4 ~5 ~4 ~3 ~2
(((((((((2 + 2) + 1) * x) + 2) * 2) * 2) * 2) * (2 + 1)) + 1)
A216870: 49 169 289 409 529
(((((x * 2) - (((2 - (x div 2)) div 2) div 2)) * 2) div (2 + 1)) + 1)
A007071: 1 2 3 5 6 7 9 11 12 13 15 16 17 19 21 22
((((x - 2) * x) * (x - 1)) div ((((2 + 2) * 2) * (2 + 1)) + 1))
A011907: 0 0 0 0 0 2 4 8 13 20 28 39 52 68 87 109
(x - (((2 - (x * x)) * 2) div ((((2 + 2) * 2) * (2 + 1)) + 1)))
A275672: 0 1 3 4 6 7 9
A006855: 0 1 3 4 6 7 9 11 13 16 18 21 24 27 30 33
(1 - (((x + 2) * x) div (x - ((((2 + 2) * 2) * (2 + 1)) + 1))))
A018122: 1 2 2 2 3 3 4 5 6 8 9 12 14 18 22 27
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070609: 0 1 7 18 24 0 1 7 18 24 0 1 7 18 24 0
((((x - 2) * x) * (x - 1)) div ((((2 + 2) * 2) * (2 + 1)) - 1))
A011905: 0 0 0 0 1 2 5 9 14 21 31 43 57 74 94 118
(((((x * x) + 2) * x) div 2) div ((((2 + 2) * 2) * (2 + 1)) - 1))
A175777: 0 0 0 0 1 2 4 7 11 16 22 29 38 48 60 74
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070607: 0 1 9 13 12 20 2 17 16 8 19 5 18 4 15 7
((((x + 1) * x) div (1 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1)
A186445: 1 1 1 1 1 2 3 4 5 6 8 10 13 16 20 25
(((((x mod (2 + 2)) + (x * x)) mod ((2 + 2) * 2)) * (2 + 1)) + 1)
A070414: 1 7 19 13 1 7 19 13 1 7 19 13 1 7 19 13
(((x * 2) - (((x - ((2 - x) div (2 + 2))) div 2) * (2 + 1))) - 1)
A194517: ~1 1 0 ~1 1 0 2 1 0 2 1 0 2 1 3 2
(x - (((((2 - (x div 2)) * (x div (2 + 2))) div 2) div (2 + 1)) - 1))
A325114: 1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19
(((x - (x mod (((1 - x) mod ((x div 2) + 2)) + 2))) div (2 + 1)) + 1)
A106432: 1 1 1 2 2 2 3 3 3 3 3 3 3 5 5 5
(x div ((x mod 2) - (((x div (((x div 2) mod 2) - 2)) div (2 + 1)) - 1)))
A191613: 0 0 1 1 2 1 2 1 2 2 2 1 4 2 2 2
(((x * 2) - ((x - (x mod (((x div 2) mod 2) - 2))) div (2 + 1))) + 1)
A285967: 1 3 5 6 8 9 11 13 15 16 18 20 21 23 25 26
((1 - x) mod (((1 - ((x - ((x div 2) mod 2)) div 2)) mod (2 + 1)) + 1))
A275342: 1 0 1 0 0 2 1 0 0 0 0 2 1 0 1 0
((x div 2) - (x div ((((x mod ((x mod 2) + 2)) + 2) * (2 + 1)) + 1)))
A004788: 0 0 1 1 2 2 3 3 3 3 4 5 5 5 5 5
(((((x - 2) * x) * (x - 1)) div 2) div (((2 + 2) * (2 + 1)) + 1))
A011908: 0 0 0 0 0 2 4 8 12 19 27 38 50 66 84 105
(((((x * x) * (2 + 1)) - x) div 2) * (((2 + 2) * (2 + 1)) + 1))
A153793: 0 13 65 156 286 455 663 910 1196 1521 1885 2288 2730 3211 3731 4290
(((2 + 1) * x) - (((1 - x) * 2) div (((2 + 2) * (2 + 1)) + 1)))
A145004: 0 3 7 10 13 16 19 22 26 29 32 35 38 41 44 48
((((x * x) * (x * x)) * (x * x)) mod (((2 + 2) * (2 + 1)) + 1))
A070636: 0 1 12 1 1 12 12 12 12 1 1 12 1 0 1 12
(((((2 + 1) * x) + 1) * (x + 1)) * (((2 + 2) * (2 + 1)) - 1))
A192827: 11 88 231 440 715 1056 1463 1936 2475 3080 3751 4488 5291 6160 7095 8096
(((((x - 2) * x) * (x - 1)) div 2) div (((2 + 2) * (2 + 1)) - 1))
A011904: 0 0 0 0 1 2 5 9 15 22 32 45 60 78 99 124
(((((x * x) * (2 + 1)) - x) div 2) * (((2 + 2) * (2 + 1)) - 1))
A153449: 0 11 55 132 242 385 561 770 1012 1287 1595 1936 2310 2717 3157 3630
((((x * x) * (x * x)) * (x * x)) mod (((2 + 2) * (2 + 1)) - 1))
A070634: 0 1 9 3 4 5 5 4 3 9 1 0 1 9 3 4
((x * x) - (((((x * 2) - 1) * x) div ((2 + 2) * (2 + 1))) - 1))
A047809: 1 2 5 9 15 23 32 43 55 70 86 103 122 143 166 190
((((((x + 1) div ((2 + 2) + 1)) + x) * (2 + 2)) div (2 + 1)) + 1)
A047489: 1 2 3 5 7 9 10 11 13 15 17 18 19 21 23 25
((((((((x + 2) + 1) * x) - 1) * x) * (2 + 2)) div (2 + 1)) + 1)
A322594: 1 5 25 69 145 261 425 645 929 1285 1721 2245 2865 3589 4425 5381
((((x * 2) * 2) - (((x * 2) - (x div (2 + 2))) div (2 + 1))) + 1)
A001954: 1 5 8 11 15 18 22 25 29 32 35 39 42 46 49 52
((x + 2) mod (((((x div 2) * x) + (x div (2 + 2))) mod (2 + 1)) + 1))
A328496-A141846: 0 0 1 0 0 1 0 1 0 2 0 0 0 0 1 0
(((((((x - (2 + 2)) * (2 + 2)) + x) + 2) * 2) * (2 + 1)) + 1)
A174092: ~83 ~53 ~23 7 37 67 97 127 157
((x * 2) mod (((((x - 2) * x) mod ((x + 2) + 2)) div (2 + 1)) + 1))
A243822: 0 0 0 0 0 1 0 0 0 2 0 2 0 2 1 0
(x - ((((((2 - (x div 2)) div 2) * (x div 2)) div 2) div (2 + 1)) - 1))
A091208: 1 2 3 4 5 6 8 9 10 11 13 14 15 16 19 20
(x - ((((((x div (2 + 1)) mod (2 + 1)) - x) - 2) div (2 + 1)) - 1))
A341763: 2 3 5 6 7 8 9 11 12 14 15 17 18 19 20 21
((((((x + 1) mod ((2 - (x mod 2)) + 1)) + x) * 2) div (2 + 1)) + 1)
A267808: 1 1 2 3 5 4 5 5 6 7 9 8 9 9 10 11
((((((x * 2) div (2 - (x div (0 - 2)))) + x) * 2) div (2 + 1)) + 1)
A318916: 1 1 3 3 5 5 6 7 7 8 9 9 11 11 12 13
((((((((x + 1) * x) * (2 + 1)) + 2) * x) div 2) * (2 + 1)) + 1)
A127876: 1 13 61 172 373 691 1153 1786 2617 3673 4981 6568 8461 10687 13273 16246
(((((((1 - (x div 2)) * (x div 2)) div 2) * x) div 2) mod (2 + 1)) + 1)
A241911: 1 1 1 1 2 1 1 2 1 1 2 3 1 2 1 2
(((((x + 2) * x) * 2) - ((((x + 2) * x) div 2) div (2 + 1))) + 1)
A211784: 1 7 16 29 45 66 89 117 148 183 221 264 309 359 412 469
(x - (((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) - 1))
A070545-A065515: 1 2 3 4 5 5 6 7 8 8 9 9 10 10 10 11
((((x * 2) div (((2 + 1) * 2) + 1)) + ((x * 2) * (2 + 1))) + 1)
A225227: 1 7 13
A246294: 1 7 13 19 26 32 38 45 51 57 63 70 76 82 89 95
(((((x + 1) div 2) + (x div (2 + 1))) + ((x * 2) * (2 + 1))) + 1)
A063216: 1 8 14 22 28 35 42 49 55 63 69 76 83 90 96 104
(((x div (((2 - x) div (2 + 2)) - 2)) + ((x * 2) * (2 + 1))) + 1)
A315751: 1 6 12 18 23 29 35 41 47 52 58 64 70 76 82 88
((1 - (((x div (2 + 1)) mod 2) * 2)) * (((x * 2) mod (2 + 1)) + 1))
A119910: 1 3 2 ~1 ~3 ~2 1 3 2 ~1 ~3 ~2 1 3 2 ~1
(((x + 2) + 2) div (((((2 + 2) * 2) - (x div 2)) * (2 + 1)) + 1))
A307825: 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 4
((x div (((x div 2) div (2 + 1)) + 2)) * (((x div 2) div (2 + 1)) + 1))
A206224: 0 0 1 1 2 2 4 4 4 6 6 6 9 9 9 9
(((((((x * 2) * 2) * ((x + 2) + 1)) - 1) * x) div (2 + 1)) + 1)
A273408: 1 6 27 72 149 266 431 652 937 1294 1731 2256 2877 3602 4439 5396
((((((((x * 2) * 2) + 1) * (x + 1)) + 1) * x) * (2 + 1)) + 1)
A191593: 1 34 169 478 1033 1906 3169 4894 7153 10018 13561 17854 22969 28978 35953 43966
(((((((x mod 2) + x) - 1) mod ((2 + 2) + 1)) + x) mod (2 + 1)) + 1)
A123564: 2 3 1 1 2 3 1 1 2 2 3 1 2 2 3 1
(((x + 2) * 2) mod ((((x div ((2 + 2) + 1)) - x) mod (2 + 1)) + 1))
A243828: 0 0 0 0 0 2 0 0 2 0 0 0 1 0 0 0
(((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1)) + 1)
A026600: 1 2 3 2 3 1 3 1 2 2 3 1 3 1 2 1
(((2 + 1) * x) - (((((x - 2) div (2 + 1)) - x) div (2 + 1)) - 1))
A186228: 2 5 8 11 15 18 21 24 27 31 34 37 40 44 47 50
(((x + 1) * x) - ((x * x) mod ((((2 + 1) * x) * (2 + 1)) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A071272-A056142: 0 1 2 3 4 5 6 7 8 9 101 111 121 131 141 151
((x mod (2 + 2)) mod (((x * 2) mod (2 - ((1 - x) div (2 + 1)))) + 1))
A260073: 0 0 0 0 0 1 0 0 0 1 0 3 0 1 0 0
((((x div (2 + 2)) + x) + 2) - (x div (((1 - x) div (2 + 1)) - 1)))
A185598: 2 4 5 7 9 10 11 13 14 16 17 18 20 21 22 23
((((((x div 2) + 1) * (x div 2)) + ((x + 1) * x)) * (2 + 1)) + 1)
A119617: 1 7 25 43 79 109 163 205 277 331 421 487 595 673 799 889
(1 - (x div (((((x div ((2 + 2) + 1)) * 2) - x) div (2 + 1)) - 1)))
A105096: 1 2 2 3 3 4 3 4 4
A139141: 1 2 2 3 3 4 3 4 4 4 5 4 4 5 4 5
((((((((x div 2) * (x + 1)) div 2) div 2) div 2) + x) div (2 + 1)) + 1)
A173329: 1 1 1 2 2 3 3 4 5 5 6 7 8 8 10 10
(((x * 2) - ((((((x - 1) div 2) div 2) * 2) - x) div (2 + 1))) + 1)
A187414: 2 4 6 8 11 12 15 17 19 21 23 26 28 30 32 34
((((((2 - x) div (((x mod 2) + 2) + 2)) mod 2) + x) mod (2 + 1)) + 1)
A305389: 1 2 3 2 3 1 2 3 3 1 2 3 2 3 1 2
((((((((x - 1) div 2) * (x div 2)) div 2) * 2) + x) div (2 + 1)) + 1)
A180711: 1 1 1 2 3 4 5 6 7 9 11 12 15 17 19 22
((((((((x * x) div 2) + 2) div (x + 2)) * 2) + x) div (2 + 1)) + 1)
A316434: 1 1 2 2 3 4 4 4 5 6 7 7 8 8 9 10
((x * 2) - ((x - 1) div (2 - (x mod (((2 - x) div (2 + 1)) - 1)))))
A184411: 1 2 4 6 7 9 10 13 14 17 18 19 22 23 24 28
(((2 - ((1 - x) div ((x div (2 + 1)) + 1))) + (x div (2 + 1))) + 1)
A332061: 2 3 4 5 6 6 7 7 8 8 9 9 10 10 10 11
(x - ((((1 - x) div (((2 + 2) * 2) + 1)) - (x div (2 + 1))) - 1))
A187568: 1 2 4 6 7 8 10 11 12 14 15 17 19 20 21 23
((x + 2) - ((x * x) div ((((x + 1) * 2) - (x div (2 + 1))) + 1)))
A047742: 2 3 4 4 5 5 6 6 7 7 7 8 8 9 9 9
(((((x * 2) - ((x mod (2 + 1)) mod 2)) * 2) + (x div (2 + 1))) + 1)
A092476: 1 3 9 14 16 22 27 29 35 40 42 48 53 55 61 66
((x - (((x - 1) div 2) mod ((2 + 2) + 1))) mod ((x div (2 + 1)) + 1))
A254041-A240712-A171611: 0 0 0 0 1 1 1 1 2 1 2 3 2 2 3 1
((((x mod (2 + 1)) div 2) * ((x + 2) + 1)) + ((x div (2 + 1)) + 1))
A138995: 1 1 6 2 2 10 3 3 14 4 4 18 5 5 22 6
(1 - ((((((1 - x) * x) div 2) + 1) div 2) mod ((x div (2 + 1)) + 1)))
A003475: 1 1 1 0 0 0 ~1 ~1 0 ~1 ~1 0 ~1 0 1 ~1
((((x * x) div (2 + 2)) + ((x + 1) * x)) + ((x div (2 + 1)) + 1))
A211481: 1 3 8 16 26 38 54 71 91 114 139 166 197 229 264 302
((((x div ((2 + 2) * 2)) - (x mod 2)) + 1) div ((x mod (2 + 1)) + 1))
A029429: 1 0 0 0 0 0 1 0 0 1 1 0 2 0 0 1
((1 - (((x div ((0 - 2) - 1)) mod 2) * 2)) * ((x mod (2 + 1)) + 1))
A117373: 1 ~2 ~3 ~1 2 3 1 ~2 ~3 ~1 2 3 1 ~2 ~3 ~1
(((((x + 1) * x) mod ((2 + 2) + 1)) - 1) * ((x mod (2 + 1)) - 1))
A188578: 1 0 0 ~1 0 ~1 ~1 0 1 1 0 1 0 0 ~1 1
(((((((((x + 2) * x) + 2) * 2) * 2) + x) * x) div (2 + 1)) + 1)
A100178: 1 8 29 72 145 256 413 624 897 1240 1661 2168 2769 3472 4285 5216
((x + 2) mod ((x div ((((((2 + 2) * 2) * 2) - x) * 2) + 1)) + 1))
A049373: 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 5
((((x + 1) * 2) - (((x * x) div (2 + 1)) div ((x + 2) + 1))) + 1)
A137228: 3 5 7 9 11 12 14 16 18 19 21 23 24 26 28 29
((((((2 + 1) * 2) + (x div (2 + 1))) * x) div ((x + 2) + 1)) + 1)
A195872: 1 2 3 4 5 5 6 6 6 7 7 8 9 9 9 10
(((((x - (((x mod 2) * 2) - 1)) * 2) * 2) mod ((x * 2) + 1)) + 1)
A266593: 1 1 3 2 3 6 3 10 3 14 3 18 3 22 3 26
(x mod (((x * x) mod ((((2 + 1) * 2) + 1) * ((x div 2) + 1))) + 1))
A004180: 0 1 2 3 4 0 6 7 8 9 10 11 12 13 14 1
(2 - ((x - ((((x - 1) mod (2 + 1)) + 2) * ((x div 2) + 1))) - 1))
A303133: 7 4 7 8 5 7
(x - ((x + 1) mod ((x mod ((((2 + 2) * 2) + (x mod 2)) + 1)) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A262087-A262040-A261423: 0 1 2 3 4 5 6 7 8 9 9 11 11 11 11 11
(((((((x - 1) div 2) * (x div 2)) div 2) + x) div ((x mod 2) + 1)) + 1)
A260220: 1 1 3 2 6 4 10 6 15 9 21 12 28 16 36 20
((((((((x * x) + 1) * x) + 1) * x) * x) div ((x mod 2) + 1)) + 1)
A281661: 1 2 45 140 1105 1638 8029 8600 33345 29930 101101 81252 250705 186830 540765 381488
((((x * x) + 1) div ((((x * 2) div ((2 + 2) + 1)) + x) + 1)) - 1)
A179510: 0 0 0 1 1 2 3 4 4 5 5 6 7 7 8 9
((((x * 2) div (1 - ((2 + 2) * 2))) mod (((2 + 1) * x) + 1)) + 1)
A186226: 1 4 7 10 12 15 18 21 23 26 29 31 34 37 40 42
((((((x + 2) + 2) * (x + 1)) + 1) * (((x + 1) * x) + 1)) + 1)
A166941: 6 34 134 378 862 1706 3054 5074 7958 11922 17206 24074 32814 43738 57182 73506
((((x + 2) * x) div ((((((2 + 2) * 2) * 2) * 2) - x) + 1)) + 1)
A342558: 1 1 1 1 1 2 2 3 4 5 6 7 9 10 12 15
((((x - 1) * x) div ((((((2 + 2) * 2) * 2) * 2) - x) - 1)) + 1)
A086740: 1 1 1 1 1 1 2 2 3 4 5 6 7 9 11 14
(((((((2 + 2) * 2) * 2) * 2) - 1) * (((x + 2) * x) + 1)) + 1)
A247155: 32 125 280 497 776 1117 1520 1985 2512 3101 3752 4465 5240 6077 6976 7937
(((((x + 2) * (x + 2)) + (2 + 2)) * (((x + 2) * x) + 1)) + 1)
A094793: 9 53 181 465 1001 1909 3333 5441 8425 12501 17909 24913 33801 44885 58501 75009
((((x mod ((((x mod (2 + 2)) + 2) * 2) * 2)) + 1) mod (x + 1)) + 1)
A229557: 1 1 1 1 1 1 1 1 2 1 1 1 6 3 1 1
((((((x * x) * (x * x)) + 1) * ((x * x) + 1)) * (x + 1)) - 1)
A228291: 0 7 254 3279 21844 97655 335922 960799 2396744 5380839 11111110 21435887 39089244 67977559 113522234 183063615
((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * 2) * (x + 1)) + 1)
A157947: 99 197 295 393 491 589 687 785 883 981 1079 1177 1275 1373 1471 1569
((((((((x + 2) * x) + (2 + 2)) * 2) + 1) * 2) * (x + 1)) + 1)
A201812: 19 61 151 313 571 949 1471 2161 3043 4141 5479 7081 8971 11173 13711 16609
(((((x mod ((2 - (x mod (2 + 2))) + 2)) + 1) * 2) mod (x + 1)) + 1)
A181520: 1 1 3 3 3 1 3 3 3 3 3 3 3 5 3 3
(compr(\x.(((x * x) mod ((((x + 2) * 2) * 2) + 1)) mod 2),(x + 1)) - 1)
A188469-A005652: 1 3 6 8 9 11 14 16 17 19 21 22 24 27 29 30
((((((((x + 1) * 2) * (2 + 1)) + 1) * 2) * 2) * (x + 1)) + 1)
A258721: 29 105 229 401 621 889 1205 1569 1981 2441 2949 3505 4109 4761 5461 6209
(compr(\x.((x mod ((((2 - x) div 2) div (2 + 1)) - 2)) mod 2),(x + 1)) + 1)
A108372: 3 4 5 7 8 11 13 15 16 17 19 21 23 25 27 29
((((((x + 2) * 2) - (((x div 2) + 1) mod 2)) * 2) * (x + 1)) - 1)
A120289: 5 19 47 79 109
(((((x mod ((0 - (x mod (2 + 2))) - 2)) mod 2) * 2) * (x + 1)) + 1)
A306507: 1 1 1 1 1 13 1 17 1 1 1 1 1 1 1 1
((((((x * x) - (x div 2)) * ((x + 2) + 2)) div 2) div (x + 1)) + 1)
A222011: 1 2 4 8
A256885: 1 2 4 8 12 18 24 32 41 51 61 73 85 99 114 130
((((x * x) * (x * x)) * (x * x)) * (((2 + 2) * (x + 1)) - 1))
A229149: 0 7 704 10935 77824 359375 1259712 3647119 9175040 20726199 43000000 83263367 152285184 265474495 444242624 717609375
(((((x mod (((2 + 2) + 1) * 2)) * (1 - x)) div 2) mod (x + 1)) + 1)
A194748: 1 1 3 2 5 3 7 4 9 5 1 8 3 11 5 14
(((((2 + 2) * 2) * ((2 + 2) + 1)) + ((x + 2) * (x + 1))) + 1)
A140755: 43 47 53 61 71 83 97 113 131 151 173 197 223 251 281 313
(((((x + 1) * x) + 1) * (x + 2)) * (((x + 2) * (x + 1)) + 1))
A053700: 6 63 364 1365 3906 9331 19608 37449 66430 111111 177156 271453 402234 579195 813616 1118481
(((((x + 1) * x) * (2 + 1)) + 1) * (((x * 2) * (x + 1)) + 1))
A068722: 1 35 247 925 2501 5551 10795 19097 31465 49051 73151 105205 146797 199655 265651 346801
((((((((x + 2) * (2 + 1)) - 1) * 2) * 2) + x) * (x + 1)) + 1)
A168240: 21 67 139 237 361 511 687 889 1117 1371 1651 1957 2289 2647 3031 3441
(((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) + 1)) + 1)
A059839: 1 5 341 7381 69905 406901 1727605 5884901 17043521 43584805 101010101 216145205 432988561 820586261 1483357205 2574332101
(((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) - 1)) + 1)
A060892: 1 1 205 5905 61681 375601 1634221 5649505 16519105 42521761 99009901 212601841 427016305 810932305 1468297741 2551550401
((x div (2 + 2)) - (x div (x - ((x mod ((2 + 2) * (0 - 2))) + 1))))
A295284: 0 0 0 0 1 1 1 0 1 2 2 2 3 3 3 2
(((x * 2) - (((((x div (2 + 2)) mod 2) + x) div 2) div (0 - 2))) + 1)
A189471: 1 3 6 8 10 13 15 17 19 21 24 26 28 31 33 35
((x + 1) mod ((((x * 2) * 2) mod (2 - ((x div 2) div (0 - 2)))) + 1))
A065040-A050602: 0 0 0 0 1 0 0 0 0 0 0 2 1 2 0 0
(((((x + 1) mod ((x mod (((2 + 1) * 2) + 1)) + 1)) + 1) div 2) + 1)
A219237: 1 1 1 1 1 1 1 1 2 2 3 2 2 1 1 1
(x mod (((((x + 1) div ((x div ((2 + 2) + 1)) + 1)) + 1) * 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A001073: 0 1 2 3 4 5 6 7 8 9 1 0 1 2 1 4
(((x mod ((2 - (2 div ((x mod ((2 + 2) + 1)) + 1))) + 1)) * 2) + 1)
A127250: 1 3 5 1 3 1 1 3 5 1 1 3 1 3 5 1
(((((x * x) mod ((((x mod 2) + 1) * (2 + 1)) + 1)) + 1) div 2) + 1)
A074093: 1 2 1 2 1 3 1 1 1 3 1 2 1 2 1 2
(x div (((x - (((x - 2) mod ((x div (2 + 1)) + 1)) - 1)) div 2) + 1))
A097295: 0 0 1 1 1 1 1 1 1 2 1 1 1 1 2 1
(((((((x div 2) + x) * x) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A272947: 1 1 1 1 1 2 1 2 1 2 2 1 2 2 3 1
(((2 - (((x * 2) * 2) mod ((x div ((0 - 2) - 1)) - 1))) div 2) - 1)
A261084: 0 0 0 0 1 0 0 0 0 0 0 0 1 1 2 0
(((((x div 2) div ((x mod (((2 + 2) + 1) * 2)) + 1)) + 1) div 2) + 1)
A136714: 1 1 1 1 1 1 1 1 1 1 4 2 2 2 2 2
(((((((x + 1) * x) div 2) mod (((2 + 1) * 2) + 1)) + 1) div 2) + 1)
A167600: 1 2 3 4 3 2 1 1 2 3 4 3 2 1 1 2
(((((x div 2) - 1) mod ((x mod (((2 + 1) * 2) + 1)) + 1)) div 2) + 1)
A258445: 1 1 1 1 1 1 2 1 1 1 1 3 3 3 1 1
((x div ((2 - (x mod ((x div (((0 - 2) - 2) - 1)) - 1))) * 2)) + 1)
A174713: 1 1 1 1 2 1 2 1 2 3 2 2 4 2 2 3
(((2 mod (((x * x) mod (((x div (2 + 2)) + 2) + 1)) + 1)) * 2) + 1)
A046623: 1 1 1 1 1 1 1 1 5 1 1 1 1 1 5 5
(((x mod (((((x * x) div 2) - 1) mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A340035-A228100-A211992-A193073-A182937: 1 1 1 2 1 1 1 2 1 3 1 1 1 1 2 1
(((x mod (((((x mod 2) + x) - 1) mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A322763: 1 1 1 2 1 1 1 1 2 3 1 1 1 1 2 1
(x div ((((((x div (2 + 2)) * 2) mod ((2 + 2) + 1)) + 1) * 2) + 1))
A292373: 0 0 0 1 0 0 0 1 0 0 0 1 2 2 2 3
(x div (((((x - ((2 - x) div 2)) mod ((2 + 2) + 1)) + 1) * 2) + 1))
A340489: 0 0 0 0 1 0 0 2 1 1 0 2 1 1 4 2
(((((x * 2) + 1) mod (((1 - x) div ((2 + 2) + 1)) - 1)) mod 2) + 1)
A102300: 1 1 2 2 2 2 2 1 2 1 1 2 2 2 2 2
(((x div ((0 - ((x * x) mod (((x + 2) + 2) + 1))) - 1)) mod 2) + 1)
A225182: 1 2 2 1 2 2 1 1 2 2 2 1 1 1 1 2
(((x mod (((((x - 1) div 2) mod (2 + 1)) * (2 + 1)) - 1)) * 2) + 1)
A049653: 1 1 1 3 1 1 3 1 1 3 1 3 5 1 1 3
(((2 - ((2 - x) div ((((x div 2) + 1) div (2 + 1)) + 1))) div 2) + 1)
A131343: 1 1 2 2 2 3 3 3 3 4 3 3 4 4 4 4
((((((x + 1) div 2) div 2) div (((x + 1) mod (2 + 1)) + 1)) mod 2) + 1)
A093320: 1 1 1 1 1 2 1 1 1 2 1 2 2 2 2 1
(((x - (x div (x - ((((2 + 1) * 2) * (2 + 1)) + 1)))) + 2) + 1)
A299489: 3 5 6 7 8 9 10 11 12 13 15 16 17 19 20 22
(((x - ((((((x + 1) div 2) div 2) * 2) div (2 + 1)) - 1)) * 2) + 1)
A120890: 3 5 7 9 11 13 15 15 17 19 21 21 23 25 27 29
(((x - (x div (((x div 2) - ((2 + 2) * (2 + 1))) + 1))) div 2) - 1)
A103416: ~1 0 0 1 1 2 2 3 4 4 5 5 6 7 8 8
(((((x div 2) - 1) mod ((((x div 2) + 2) div (2 + 1)) + 1)) * 2) + 1)
A328572: 1 1 1 1 3 3 1 1 1 1 3 3 5 5 5 5
((((((((x * x) div (2 + 2)) + x) div 2) div (2 + 1)) + 1) div 2) + 1)
A053265: 1 1 1 1 2 2 2 3 3 3 4 4 5 6 6 7
((x div ((x mod ((((2 - (x mod 2)) * x) div (2 + 1)) + 1)) + 2)) + 1)
A341132: 1 1 2 2 2 2 3 3 3 4 3 3 3 3 3 4
((((((x + 2) * (2 + 1)) + 1) mod ((x div (2 + 1)) + 1)) mod 2) + 1)
A115588: 1 1 1 1 2 1 2 2 2 1 2 1 2 2 1 1
((x + 1) mod (((((x * 2) + 1) div ((x div (2 + 1)) + 1)) * 2) + 1))
A040997: 1 2 3 4 5 6 7 8 9 1 0 1 2 3 4 5
((((((x * 2) + 1) * (x + 1)) mod ((x div (2 + 1)) + 1)) div 2) + 1)
A226621: 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 3
(x - ((((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) * 2) - 1))
A175856: 1 2 3 2 5 4 7 6 5 4 11 10 13 12 11 10
(((x - (((((x * x) * x) - 1) mod ((x div 2) + 1)) - 1)) div 2) + 1)
A194343: 1 2 2 3 3 3 3 4 5 4 5 5 5 5 5 6
(((x mod (((((2 - x) * 2) - x) mod ((x div 2) + 1)) + 1)) div 2) + 1)
A261527: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 4
(((((((x mod (2 + 2)) * 2) - 1) * ((x mod 2) + 1)) + 1) * 2) + 1)
A070423: 1 7 9 23 1 7 9 23 1 7 9 23 1 7 9 23
(((x mod (((((2 + 1) * 2) mod (x + 2)) mod (x + 1)) + 1)) mod 2) + 1)
A254444: 1 1 1 2 1 1 1 1 2 1 2 1 2 1 1 2
(((((x mod (((x - (x mod (2 + 1))) div 2) + 1)) div 2) + 1) div 2) + 1)
A182596: 1 1 1 1 1 1 2 2 1 2 1 1 2 3 1 3
((((x div 2) div ((x mod ((x div ((2 + 2) + 1)) + 2)) + 1)) mod 2) + 1)
A087048: 1 1 2 1 1 1 2 2 2 1 2 2 1 2 1 2
(((x mod ((((x + 2) mod ((x div (2 + 2)) + 1)) * 2) + 1)) div 2) + 1)
A112757: 1 1 1 1 1 2 1 1 2 3 1 2 2 4 1 1
((x mod ((x mod ((x mod ((((x mod 2) * 2) + 1) * 2)) + 1)) + 2)) + 1)
A214052: 1 2 1 4 1 6 1 2 1 1 1 5 1 2 1 1
(x - (((((x - (((x div 2) - 1) div (2 + 1))) div 2) - 1) * 2) - 1))
A256244: 3 2 3 4 3 4 3 4 5 4 5 4 5 4 5 6
((((x div (2 + 1)) div ((((x - 1) mod (2 + 1)) + 2) + 1)) + 2) + 1)
A135717: 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4
(((((((x * 2) + 1) * x) + 1) div (((2 + 1) * 2) + 1)) mod 2) + 1)
A294647: 1 1 2 2 2 1 2 2 2 1 1 1 2 1 1 1
(1 div (((((2 + 2) * (x + 1)) mod (((2 + 1) * 2) + 1)) * 2) - 1))
A238469: 0 1 0 0 0 0 ~1 0 1 0 0 0 0 ~1 0 1
(((x * 2) mod (1 - (((1 - x) div (((2 + 1) * 2) + 1)) * 2))) + 1)
A132283: 1 1 2 1 3 2 1 3 2 4 1 3 5 2 4 1
((x + 1) div ((((2 + 2) - (x div (((2 + 1) * 2) + 1))) * 2) + 1))
A238221: 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3
(1 - (x div (1 - (x div (((x div (((2 + 1) * 2) + 1)) * 2) - 1)))))
A187471: 1 1 1 1 1 1 1 3 3 3 3 3 3 3 6 5
((((x * 2) mod ((((x div 2) - (x div (2 + 1))) * 2) + 1)) div 2) + 1)
A273619: 1 1 1 1 2 1 1 2 1 1 1 2 3 1 1 1
(((((x * x) mod ((((x * x) div 2) mod (x + 1)) + 2)) + 1) div 2) + 1)
A160520: 1 2 1 2 2 2 1 2 2 2 3 2 1 2 4 2
((((2 - x) mod ((((x div ((2 + 2) + 1)) * 2) * 2) + 1)) div 2) + 1)
A308477: 1 1 1 1 1 2 1 1 3 2 1 1 5 4 4 1
((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) + 1)
A340101: 1 1 1 1 2 1 1 2 1 1 2 1 2 3 1 1
((((x * 2) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) + 1)
A161906: 1 1 1 1 2 1 1 2 1 1 2 1 3 1 2 1
(((((x * x) * (x - 2)) div ((((2 + 2) * 2) * 2) - 1)) mod 2) + 1)
A089641: 1 2 1 1 1 2 2 1 2 2 2 1 1 2 1 2
((((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) div 2) + 1)
A332013-A324350-A287957-A175466-A159923-A091255-A003989: 1 1 1 1 2 1 1 1 1 1 1 2 3 2 1 1
(((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) div 2) + 1)
A000006: 1 1 2 2 3 3 4 4 4 5 5 6 6 6 6 7
(((x - (((1 - (x div 2)) * x) div (((2 + 2) * 2) + 1))) div 2) + 1)
A089646: 1 1 2 2 3 4 5 5 6 7 8 9 10 11 13 13
(((((2 - ((x div 2) * x)) * x) div (((2 + 2) * 2) + 1)) mod 2) + 1)
A080972: 1 1 1 2 2 2 2 2 2 1 1 2 1 1 1 1
(((((2 + 1) * x) - (((x - (x div (2 + 2))) div 2) - 1)) * 2) + 1)
A075318: 3 9 13 19 25 29 35 39 45 51 55 61 67 71 77 81
(((((((((x div 2) + 1) div 2) * (x - 2)) div 2) div 2) + 1) div 2) + 1)
A236473: 1 1 1 1 1 1 2 2 3 3 4 4 5 5 7 8
(((x mod (((((x div 2) + 1) mod ((x mod 2) + 2)) * 2) + 1)) div 2) + 1)
A302247-A080576-A026791: 1 1 1 2 1 1 1 1 2 3 1 1 1 1 1 1
(x mod (2 - (x mod (((x mod ((((x mod 2) - 2) * 2) - 1)) * 2) - 1))))
A287520: 0 1 2 1 0 2 1 2 0 1 0 2 0 1 2 1
(((((((x * x) + (x div 2)) * 2) + 1) mod ((2 + 2) + 1)) div 2) + 1)
A080027: 1 2 1 1 2 1 3 1 2 1 1 2 1 1 2 1
(x - ((((((0 - x) - 1) * (2 + 1)) div ((2 + 2) + 1)) * 2) - 1))
A286806: 3 6 7 10 11 14 17 18 21 22 25 28 29 32 33 36
((x div 2) mod ((x mod ((((x div 2) - 1) mod ((2 + 2) + 1)) + 2)) + 1))
A234581: 0 0 0 1 0 2 0 3 0 4 0 5 0 0 1 0
(((x - (((((x mod 2) - x) - 1) * 2) div ((2 + 2) + 1))) * 2) - 1)
A080903: 1 3 7 9 11 13 17 19 23 25 29 31 35 37 39 41
((x div (2 + 2)) div (((((1 - x) * 2) mod ((2 + 2) + 1)) * 2) + 1))
A036853-A036852: 0 0 0 0 0 0 1 0 0 0 0 2 0 1 0 0
(((x + 2) - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2))) + 1)
A336497-A336426: 3 5 6 7 9 10 11 13 14 15 17 18 19 20 21 22
((((((x mod 2) * (x + 1)) - (x div 2)) mod ((2 + 2) + 1)) * 2) + 1)
A140724: 1 5 9 7 7 9 5 1 3 3 1 5 9 7 7 9
(((((((x div (2 + 1)) + x) + 2) * x) mod ((2 + 2) + 1)) div 2) + 1)
A323827: 1 2 2 2 2 1 1 2 1 1 1 1 1 2 1 1
(x - ((((2 - ((x div 2) - 1)) * (x div ((2 + 2) + 1))) div 2) - 1))
A119485: 1 2 3 4 5 6 7 8 10 11 13 14 16 17 19 22
((((((x + 2) + 2) + 1) * 2) - ((x div ((2 + 2) + 1)) mod 2)) + 1)
A228709: 11 13 15 17 19 20 22 24 26 28 31 33 35 37 39 40
(((((((x + 2) + 2) + 1) * 2) - (x mod ((2 + 2) + 1))) * 2) + 1)
A163396-A143712-A007929: 21 23 25 27 29 41 43 45 47 49 61 63 65 67 69 81
(((((x div (2 + 2)) + 1) div (((0 - x) mod (2 + 2)) + 1)) div 2) + 1)
A227481: 1 1 1 1 2 1 1 1 2 1 1 1 3 1 1 2
((x div ((x div (((((x div 2) + 1) * x) mod (2 + 2)) + 1)) + 2)) + 1)
A175327: 1 1 1 2 1 2 1 1 1 2 1 3 1 3 1 1
(((x - (((2 - ((x div (2 + 2)) + x)) div (2 + 2)) - 1)) * 2) + 1)
A141107: 3 5 7 11 13 15 19 21 23 27 29 31 35 37 39 41
(2 - (x div ((0 - ((x mod (((2 - x) mod (2 + 2)) + 1)) div 2)) - 1)))
A076332: 2 3 4 4 6 7 8 6 6 11 12 8 14 15 16 10
((((((x + 2) + 2) * (x - 1)) mod ((x div (2 + 2)) + 1)) * 2) + 1)
A046622: 1 1 1 1 1 1 1 1 1 5 1 1 1 1 5 5
((((x div ((2 + 2) + 1)) - (x div ((x div (2 + 2)) + 1))) div 2) + 1)
A154282: 1 0 0 ~1 0 0 0 0 0 0 0 0 0 0 0 1
((x mod (1 - (((x div (2 + 1)) div ((x mod (2 + 2)) + 1)) * 2))) + 1)
A336727-A309386-A290789: 1 1 1 1 1 1 1 1 0 1 1 1 ~1 ~1 1 1
(((x mod (2 - (((2 - x) + 1) div ((x mod (2 + 2)) + 1)))) div 2) + 1)
A120454: 1 1 1 1 1 2 1 1 1 3 1 2 1 4 2 1
((1 - (x * 2)) mod ((((x div 2) div (((x mod 2) + 2) + 1)) * 2) + 1))
A159632: 0 0 0 0 0 0 1 0 0 1 2 0 2 2 3 1
((((x div ((x div (((2 + 1) * 2) + 1)) + 1)) mod (2 + 1)) mod 2) + 1)
A191774: 1 2 1 1 2 1 1 1 2 2 1 1 1 1 2 1
((((((x * x) mod (((2 + 1) * 2) + 1)) + 1) * (2 + 1)) div 2) + 1)
A165669: 2 4 8 5 5 8 4 2 4 8 5 5 8 4 2 4
(((x - ((x div (((x - 1) mod (2 + 1)) + 1)) mod (2 + 1))) div 2) + 1)
A249038: 1 1 1 2 2 2 3 4 4 5 5 5 6 7 7 7
(((x - ((((x div ((0 - 2) - 2)) * 2) - 1) div (2 + 1))) * 2) + 1)
A155113: 3 5 7 9 11 15 17 19 21 25 27 29 31 33 35 37
((((x - (1 div (((x mod (2 + 2)) * 2) - 1))) div (2 + 1)) * 2) + 1)
A046702: 1 1 1 3 3 3 5 5 7 5 7 7 9 9 9 11
((((x - ((1 - (x * x)) div ((2 + 2) + 1))) * (2 + 1)) div 2) + 1)
A186496: 1 2 5 8 11 16 20 26 32 38 46 53 62 71 80 91
(((((x + 2) - (2 div ((x div (2 + 2)) + 1))) * (2 + 1)) div 2) + 1)
A191535-A100598: 1 2 4 5 8 10
A161790-A160545: 1 2 4 5 8 10 11 13 16 17 19 20 22 23 25 26
(x - ((((x - (((x * x) div (2 + 2)) - 1)) div (2 + 1)) * 2) - 1))
A008813: 1 2 3 4 5 6 9 12 15 18 21 24 29 34 39 44
((((((x div 2) + 1) div (((x mod 2) + 2) + 1)) * (2 + 1)) div 2) + 1)
A010554: 1 1 1 1 2 1 2 2 2 2 4 2 4 2 4 4
(x - ((((x - (((x * x) - 2) div (2 + 1))) div (2 + 1)) * 2) - 1))
A008825: 1 2 3 4 5 8 11 14 17 22 27 32 37 42 49 56
((x * 2) - ((x mod (1 - (((x div (2 + 1)) mod (2 + 1)) * 2))) - 1))
A335241: 1 3 5 7 9 11 13 17 18 19 21 23 25 27 29 31
((x mod (((((x div 2) * x) * (x div (2 + 1))) mod (2 + 1)) + 2)) + 1)
A060135: 1 2 1 2 1 3 1 2 3 2 1 2 1 2 3 2
(((x - ((((1 - x) * x) * ((x * 2) - 1)) div (2 + 1))) * 2) + 1)
A161712: 1 3 9 27 65 131 233 379 577 835 1161 1563 2049 2627 3305 4091
(((((((x div 2) mod 2) + 1) * ((x div 2) + 1)) div (2 + 1)) * 2) + 1)
A118911: 1 1 3 3 3 3 5 5 3 3 9 9 5 5 11 11
(1 - (((x + 1) * x) mod (((((x div 2) + 1) div (2 + 1)) * 2) + 1)))
A144384: 1 1 1 1 ~1 1 1 ~1 1 1 1 ~1 0 ~1 1 1
(((x div 2) - ((((x div (2 - (x mod 2))) + 1) div (2 + 1)) * 2)) + 1)
A155041: 1 1 2 0 1 ~1 2 0 3 ~1 2 ~2 3 ~1 4 ~2
(((x - ((((2 - x) * (x * 2)) * (x - 1)) div (2 + 1))) * 2) + 1)
A161703: 1 3 5 15 41 91 173 295 465 691 981 1343 1785 2315 2941 3671
((x div ((x mod ((((x mod (2 + 2)) + 1) * 2) * (2 + 1))) + 2)) + 1)
A081297: 1 1 1 1 1 1 1 1 3 1 1 1 7 5 1 1
(x - ((x div (((1 - ((x div (2 + 1)) * 2)) div (2 + 1)) - 2)) - 1))
A194413: 1 3 4 5 7 8 9 11 12 13 14 15 16 17 18 19
((x * 2) div (((x + 2) div ((((x - 1) div 2) div (2 + 1)) + 2)) + 1))
A291267: 0 1 1 2 2 2 2 3 4 4 4 4 4 6 5 6
((((2 - ((1 - x) div ((x div (2 + 2)) + 2))) * (2 + 1)) div 2) - 1)
A165079: 2 2 3 3 3 5 5 5 5 5 6 6 6 6 6 6
((2 - x) mod ((((x div (((x mod 2) + 2) * 2)) * (2 + 1)) div 2) + 1))
A337620: 0 0 0 0 0 0 0 1 2 1 0 1 0 1 3 3
(x div ((((((x * 2) - 1) div ((x div 2) + 2)) * (2 + 1)) div 2) + 1))
A230772: 0 1 1 1 2 1 1 1 2 2 2 2 3 2 2 3
(x - ((((x - (x mod (2 - ((x div 2) mod 2)))) div (2 + 1)) * 2) - 1))
A111439: 1 2 3 2 3 4 3 4 5 6 5 6 5 6 7 6
(((x - (((((x div (2 + 2)) mod 2) - x) - 2) div (2 + 1))) * 2) + 1)
A329095: 3 5 9 11 13 15 19 21 25 27 29 33 35 37 39 43
(((x mod ((((x mod 2) + 1) * 2) + ((x div 2) div (2 + 1)))) div 2) + 1)
A110730: 1 1 1 2 1 1 1 2 2 3 1 1 1 1 2 2
((x * 2) div (2 - ((x div (1 - (((x div 2) mod (2 + 1)) + 2))) - 1)))
A151902: 0 0 1 1 1 2 1 1 2 2 2 3 1 1 2 2
(((x div 2) + 2) mod ((x div ((((x * x) div 2) mod (2 + 1)) + 2)) + 1))
A069283: 0 0 0 1 0 1 1 1 0 2 1 1 1 1 1 3
(2 div (((x * x) + 2) mod (((x div (2 + 2)) + ((2 + 1) * 2)) + 1)))
A331983-A219488: 1 0 0 0 1 0 0 0 0 1 0 0 0 2 0 0
(((((2 + 2) * 2) * (x + 1)) * (2 + 1)) div (((2 + 1) * 2) + 1))
A329997: 3 6 10 13 17 20 24 27 30 34 37 41 44 48 51 54
(((((x - 2) * x) * (x - 1)) div (2 + 1)) div (((2 + 1) * 2) + 1))
A011903: 0 0 0 0 1 2 5 10 16 24 34 47 62 81 104 130
(((x - ((x * x) div (0 - 2))) * (2 + 1)) div (((2 + 1) * 2) + 1))
A057672: 0 0 1 3 5 7 10 13 17 21 25 30 36 42 48 54
(((((x + 2) * (x + 1)) div 2) * (2 + 1)) div (((2 + 1) * 2) + 1))
A194229: 0 1 2 4 6 9 12 15 19 23 28 33 39 45 51 58
(x - (((((1 - x) * x) div 2) * (2 + 1)) * (((2 + 1) * 2) + 1)))
A051875: 0 1 23 66 130 215 321 448 596 765 955 1166 1398 1651 1925 2220
(x - ((((1 - (x * x)) * x) div (2 + 1)) * (((2 + 1) * 2) + 1)))
A063521: 0 1 16 59 144 285 496 791 1184 1689 2320 3091 4016 5109 6384 7855
((((((2 + 2) * 2) * 2) * 2) * (x + 1)) div (((2 + 1) * 2) + 1))
A206908: 4 9 13 18 22 27 32 36 41 45 50 54 59 64 68 73
(((1 - ((x * x) div (2 + 2))) div (x + 1)) + (((2 + 1) * 2) + 1))
A219388: 8 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3
((((((2 + 2) * 2) + x) * 2) * (x + 1)) div (((2 + 1) * 2) + 1))
A272719: 2 5 8 12 17
A002960: 2 5 8 12 17 22 28 34 41 48 56 65 74 84 94 105
(((x * 2) * 2) - (((2 + 2) * (x - 1)) div (((2 + 1) * 2) + 1)))
A248232: 1 4 8 11 15 18 22 25 28 32 35 39 42 46 49 52
((((2 + 1) * x) + 2) - (((x + 1) * 2) div (((2 + 1) * 2) + 1)))
A182769-A117630: 2 5 8 10 13 16 18 21 24 27 29 32 35 37 40 43
(0 - (((((2 - x) * x) * (x - 1)) div 2) div (((2 + 1) * 2) + 1)))
A055610: 0 0 0 1 2 5 9 15 24 36 52 71 95 123 156 195
((((((x - 2) * x) * (x - 1)) div 2) div 2) div (((2 + 1) * 2) + 1))
A011910: 0 0 0 0 0 2 4 7 12 18 25 35 47 61 78 97
(((((x * x) * x) div ((2 + 2) * 2)) + 2) div (((2 + 1) * 2) + 1))
A177239: 0 0 0 0 1 2 4 6 9 13 18 24 31 39 49 60
((((x * x) * (x + 1)) div ((2 + 2) * 2)) div (((2 + 1) * 2) + 1))
A177237: 0 0 0 0 1 2 4 7 10 14 19 25 33 42 52 64
((((x * 2) + 1) * 2) - ((x - (2 + 2)) div (((2 + 1) * 2) + 1)))
A322408: 3 7 11 15 18 22 26 30 34 38 42 45 49 53 57 61
(2 - ((((x * x) * (x * x)) * (2 + 2)) mod (((2 + 1) * 2) + 1)))
A234044: 2 ~2 1 0 0 1 ~2 2 ~2 1 0 0 1 ~2 2 ~2
(((((x mod ((x mod 2) + 2)) + x) + 2) * 2) div (((2 + 1) * 2) + 1))
A024542: 0 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4
((((x * 2) + 1) * 2) - (((x + 2) * 2) div (((2 + 1) * 2) + 1)))
A184745: 2 6 9 13 17 20 24 28 32 35 39 43 46 50 54 58
((((2 + 1) * x) + 2) - (((x - 2) * 2) div (((2 + 1) * 2) + 1)))
A057349: 3 6 8 11 14 17 19 22 25 27 30 33 36 38 41 44
(((x * 2) * (2 + 1)) - (((1 - x) * 2) div (((2 + 1) * 2) + 1)))
A246306: 0 6 13 19 25 32 38 44 50 57 63 69 76 82 88 94
(((x + 1) * 2) - ((((x mod 2) + x) * 2) div (((2 + 1) * 2) + 1)))
A285376: 2 4 6 7 9 11 13 14 16 18 20 21 23 24 26 28
((((2 + 1) * 2) + 1) div (2 - ((x - 2) div (((2 + 1) * 2) + 1))))
A119447: 2 2 3 3 3 3 3 3 3 7 7 7 7 7 7 7
((((2 + 1) * x) + 2) - ((1 - (x * 2)) div (((2 + 1) * 2) + 1)))
A189371: 2 6 9 12 15 19 22 25 29 32 35 38 42 45 48 52
(1 - (x mod (1 - (((1 - x) * (x * 2)) mod (((2 + 1) * 2) + 1)))))
A143811: 1 1 1 1 3 1 1 1 1 2 1 2 1 2 1 1
(x - (((x mod (((2 + 2) + 1) * 2)) - x) * (((2 + 1) * 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A024663: 0 1 2 3 4 5 6 7 8 9 80 81 82 83 84 85
(((1 - x) mod ((x mod (2 + 2)) + 1)) * (x div (((2 + 1) * 2) + 1)))
A104194: 0 0 0 0 0 0 0 2 0 0 0 2 0 0 4 4
(((((x mod 2) * x) div 2) div (2 + 1)) * (x div (((2 + 1) * 2) + 1)))
A035688: 0 0 0 0 0 0 0 1 0 1 0 1 0 2 0 4
(((((x + 2) * x) + 2) * (x + 1)) + (x div (((2 + 1) * 2) + 1)))
A180499: 2 10 30 68 130 222 350 521 739 1011 1343 1741 2211 2759 3392 4114
((0 - (x div (1 - ((2 + 2) * 2)))) * (x div (((2 + 1) * 2) + 1)))
A008767: 0 0 0 0 0 0 0 1 2 2 2 2 2 2 4 6
(((x div (((2 + 1) * 2) + 1)) + 1) * (x mod (((2 + 1) * 2) + 1)))
A194757: 0 1 2 3 4 5 6 0 2 4 6 8 10 12 0 3
(((x div ((2 + 2) * 2)) + 1) div (((0 - x) mod ((2 + 1) * 2)) + 1))
A025907: 1 0 0 0 0 0 1 0 0 0 0 1 2 0 0 0
((((((x mod ((x div 2) + 1)) div (2 + 1)) + x) * (2 + 1)) div 2) + 1)
A229968-A192817: 1 2 4 5 7 8 10 13 14 16 17 19 20 23 25 26
(((x * 2) mod (((((x * x) div (2 + 1)) + x) mod (2 + 1)) + 2)) + 1)
A100808: 1 3 1 1 1 2 1 3 1 1 3 1 1 1 2 1
((x + 2) mod ((((((2 + 2) mod (x + 1)) + x) div (2 + 1)) * 2) + 1))
A321863: 0 0 1 2 1 0 1 2 1 2 3 2 3 4 3 4
(((((((x mod 2) + x) * ((2 + 2) * 2)) + x) * (2 + 1)) div 2) + 1)
A056081: 1 26 28 53 55 80 82 107 109 134 136 161 163 188 190 215
(x - ((((x div ((2 + 2) * (2 + 1))) + (x div (2 + 1))) * 2) - 1))
A045670: 1 2 3 2 3 4 3 4 5 4 5 6 3 4 5 4
(((x - (((x div (2 + 1)) - (x * 2)) * (x div (2 + 1)))) * 2) + 1)
A211440: 1 3 5 17 23 29 53 63 73 109 123 137 185 203 221 281
((x * 2) mod ((((2 + 2) * (x + 1)) mod ((x div (2 + 1)) + 2)) + 1))
A221146: 0 0 0 0 2 0 0 0 0 0 0 2 4 2 0 0
((((x div (2 + 1)) + 1) div 2) - (x div (((x div (2 + 1)) + 2) + 1)))
A079691: 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 2
(1 - ((((x + 2) * x) div 2) mod ((x div ((x div (2 + 1)) + 2)) + 1)))
A068101: 1 1 1 0 1 0 1 0 0 0 1 ~1 1 0 0 0
(((((x * x) div (2 + 2)) + x) + 2) - (((x div (2 + 1)) - 2) - 1))
A191355: 5 6 8 9 12 15 18 22 27 31 37 43 49 56 64 71
((((x + 1) * 2) mod (1 - (x mod (1 - ((x div (2 + 1)) * 2))))) + 1)
A121391-A111673-A090182-A064094-A008550: 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1
((x + 2) - ((1 - x) mod (((x div 2) - ((x div (2 + 1)) mod 2)) + 1)))
A112823: 2 3 3 5 5 7 5 7 7 11 11 13 11 13 13 17
((x * 2) div ((((((x div 2) mod 2) + 2) + (x mod (2 + 1))) * 2) + 1))
A339505: 0 0 0 0 1 1 1 1 1 3 2 2 4 3 2 4
(((((x div (2 + 1)) mod (2 + 1)) div 2) + ((x mod (2 + 1)) div 2)) + 1)
A156755-A091976-A091975-A090822: 1 1 2 1 1 2 2 2 3 1 1 2 1 1 2 2
((x div 2) mod (((((x div 2) mod 2) + 2) * ((x mod (2 + 1)) div 2)) + 1))
A253786: 0 0 1 0 0 2 0 0 1 0 0 1 0 0 3 0
((1 - (((x div (2 + 1)) mod 2) * 2)) * (((x mod (2 + 1)) div 2) + 1))
A132367: 1 1 2 ~1 ~1 ~2 1 1 2 ~1 ~1 ~2 1 1 2 ~1
(x - ((((((x div 2) * x) mod 2) + 1) * ((x mod (2 + 1)) mod 2)) + 1))
A284722: ~1 ~1 1 2 2 4 5 4 7 8 8 10 11 11 13 14
(x - ((x mod ((2 + 1) * 2)) mod (x - (((x mod (2 + 1)) mod 2) + 1))))
A257686: 0 1 2 2 4 4 6 6 6 6 6 6 12 12 12 12
(((((x * x) div ((((x div (2 + 1)) mod 2) + x) + 2)) + 1) div 2) + 1)
A285760: 1 1 2 2 2 3 3 4 4 4 5 5 6 7 7 7
(((((((x mod (2 + 1)) * x) * (2 + 1)) div (x + 2)) + 1) div 2) + 1)
A293207: 1 2 3 1 2 3 1 2 3 1 2 4 1 2 4 1
(((((((x div (2 + 2)) + 2) + 2) * x) div ((x + 2) + 1)) * 2) + 1)
A129337: 1 3 3 5 5 7 7 7 9 9 9 9 11 11 11 11
(x - (((((x - (x div (2 + 2))) div 2) - ((x * 2) + 1)) * 2) - 1))
A003623: 3 8 11 16 21 24 29 32 37 42 45 50 55 58 63 66
((((((x - 2) * x) div ((2 + 2) + 1)) * ((x * 2) - 1)) div 2) + 1)
A270638: 1 0 1 1 4 14
((((((x + 2) mod ((2 + 1) * 2)) + 1) mod ((x div 2) + 1)) div 2) + 1)
A157896: 1 1 1 1 1 2 2 1 1 1 1 2 2 3 3 4
(((((x + 2) + 2) * 2) - (((x - 1) mod ((x div 2) + 1)) div 2)) + 1)
A248629: 9 11 13 15 17 19 21 22 24 26 28 29 31 33 35 36
(x - (((((x div 2) - ((x + 2) * 2)) * ((x div 2) + 1)) div 2) - 1))
A165718: 3 5 10 13 20 24 33 38 49 55 68 75 90 98 115 124
((((x div 2) - (((x * x) * (x * 2)) div ((x div 2) + 1))) mod 2) + 1)
A308188: 1 1 2 1 1 2 2 1 1 2 1 1 2 2 2 1
(((((x + 2) * x) - (((x * x) * 2) div ((x div 2) + 1))) div 2) + 1)
A092534: 1 1 3 4 8 10 16 20 28 34 44 52 64 74 88 100
((x - (((x mod 2) - x) * (2 + 1))) mod ((((x div 2) + 1) div 2) + 1))
A324868-A324816: 0 0 0 1 0 1 0 1 2 0 0 1 0 1 1 2
(((x div ((2 + 2) + 1)) + 1) mod (((x mod ((x div 2) + 1)) div 2) + 1))
A245527: 0 0 0 0 0 0 0 0 0 2 0 0 0 3 3 0
((x * 2) div (x - (((x - ((x * x) mod ((x div 2) + 1))) div 2) - 1)))
A047931: 0 1 2 2 2 2 3 2 2 3 2 3 2 3 2 3
((x + 2) mod (((x + 2) div (((x div 2) div ((x mod 2) + 1)) + 2)) + 1))
A339813: 0 1 0 2 0 1 0 1 0 2 0 1 0 3 0 1
(((((((x mod ((2 + 2) + 1)) + 2) mod (x + 1)) + x) + 1) div 2) + 1)
A162621: 1 2 3 3 4 5 6 7 8 9 7 8 9 10 11 10
(((((((x div 2) - ((x div (2 + 2)) mod 2)) div 2) + x) + 1) * 2) + 1)
A112372: 3 5 7 9 11 13 17 19 23 25 27 29 31 33 37 39
(((((((x div 2) + x) mod ((2 + 2) + 1)) + 1) mod (x + 1)) div 2) + 1)
A282863: 1 1 1 1 2 2 3 1 2 3 1 2 3 3 2 2
(x - (((((x + 1) mod (((2 + 1) * 2) + 1)) - (x + 1)) * 2) - 1))
A037333: 1 2 3 4 5 6 21 22 23 24 25 26 27 42 43 44
((((2 - (x div (((x mod (2 + 1)) div 2) + 1))) mod (x + 1)) div 2) + 1)
A255771: 1 1 1 2 2 1 2 2 4 2 2
((x div (((((x div 2) + 1) * ((2 + 2) + 1)) mod (x + 1)) + 2)) + 1)
A342468: 1 1 1 1 3 2 1 2 1 2 2 2 2 2 2 2
(((((((x * x) + (x mod 2)) * 2) div (2 + 1)) * (x + 1)) div 2) + 1)
A018263: 1 2 4 13 26 52
(((((((((x + 1) div 2) + 1) * x) div 2) + 2) * (x + 1)) div 2) + 1)
A019471: 2 4 7 13 21 37
((((((x - ((x div 2) mod 2)) div 2) + x) + (2 mod (x + 1))) * 2) + 1)
A176393: 1 3 9 13 17 19 21 25 29 31 33 37 41 43 45 49
((((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) + ((x + 1) * 2)) + 1)
A160217: 3 6 7 9 11 14 15 18 19 22 23 25 27 30 31 33
((((x - ((1 - x) div ((x div 2) + 2))) div 2) + ((x + 1) * 2)) + 1)
A247909: 3 5 8 11 13 16 18 21 24 26 29 31 34 36 39 41
((((x + 2) * (x + 1)) * ((2 + 2) + 1)) * (((x + 1) * 2) + 1))
A316459: 30 150 420 900 1650 2730 4200 6120 8550 11550 15180 19500 24570 30450 37200 44880
(((((x + 2) * 2) + 1) * ((x * 2) + 1)) * (((x + 1) * 2) + 1))
A061550: 15 105 315 693 1287 2145 3315 4845 6783 9177 12075 15525 19575 24273 29667 35805
(((((2 + 2) * 2) * 2) * ((x * 2) + 1)) * (((x + 1) * 2) + 1))
A157913: 48 240 560 1008 1584 2288 3120 4080 5168 6384 7728 9200 10800 12528 14384 16368
((((((x + 2) * 2) + x) * (x + 1)) div 2) * (((x + 1) * 2) + 1))
A094952: 6 35 105 234 440 741 1155 1700 2394 3255 4301 5550 7020 8729 10695 12936
((((((x + 2) * (x + 1)) + 2) + 2) * 2) * (((x + 1) * 2) + 1))
A027603: 36 100 224 432 748 1196 1800 2584 3572 4788 6256 8000 10044 12412 15128 18216
(x - (((1 - ((2 + 2) * (2 + 1))) - x) * (((x + 1) * 2) + 1)))
A154600: 33 61 93 129 169 213 261 313 369 429 493 561 633 709 789 873
((((x - 1) * x) div (((x + 2) * 2) + x)) + (((x + 1) * 2) + 1))
A291839: 3 5 7 9 11 14 16 18 21 23 25 27 30 32 34 37
(((x - ((x div 2) - (((x * 2) + 1) * 2))) * ((x + 1) div 2)) - 1)
A266957: ~1 6 10 31 39 74 86 135 151 214 234 311 335 426 454 559
(((((x * 2) div ((x div (2 + 1)) + 2)) + 2) + ((x + 1) div 2)) + 1)
A195770: 3 5 6 7 7 9 9 10 11 11 12 13 13 14 14 15
((((((((2 + 1) * 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2) + 1)
A069132: 1 20 58 115 191 286 400 533 685 856 1046 1255 1483 1730 1996 2281
((((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * (x + 1)) div 2) + 1)
A069174: 1 24 70 139 231 346 484 645 829 1036 1266 1519 1795 2094 2416 2761
(((((((((2 + 1) * x) + 2) * 2) * 2) - x) * (x + 1)) div 2) + 1)
A160749: 5 20 46 83 131 190 260 341 433 536 650 775 911 1058 1216 1385
(((x - ((2 - x) div (2 - (x div ((2 + 2) * (0 - 2)))))) + 2) + 1)
A253723: 2 4 5 7 8 9 11 12 13 14 15 17 18 19 20 22
((((x * 2) + 1) * 2) - (((x div 2) + x) div (((0 - 2) - 2) - 1)))
A001960: 2 7 11 15 20 24 28 32 37 41 45 50 54 58 63 67
((((((2 + 2) * 2) * 2) + x) * 2) + (x div (((0 - 2) - 2) - 1)))
A085259: 32 33 35 37 39 41 42 44 46 48 50 51 53 55 57 59
(((x * 2) * 2) - ((((x div (2 + 2)) + x) mod ((0 - 2) - 2)) - 1))
A287552: 1 8 11 14 20 23 26 29 35 38 41 48 50 53 60 63
((((x + 2) + 2) - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) + 1)
A288383: 4 6 7 9 10 11 12 14 15 16 17 18 19 20 21 23
(x div (((x div (2 + 1)) + 1) - (x mod (((x mod (0 - 2)) - 2) - 1))))
A039736: 0 0 1 1 1 1 2 1 2 1 1 2 2 1 2 2
(((((x div (((((x - 1) div 2) mod 2) + 2) + 1)) + 1) div 2) * 2) + 1)
A213809: 1 1 1 1 3 3 3 3 3 5 5 3 5 5 5 5
((((x + 2) mod ((((x * 2) div ((2 + 2) + 1)) + 1) * 2)) * 2) + 1)
A012264: 1 3 1 3 5 3 5 7 5 7 5 7 9 7 9 7
(x mod ((((x - ((((x div 2) + 1) mod (2 + 1)) - 1)) div 2) * 2) - 1))
A037899-A037891-A037837: 0 0 0 0 1 0 1 2 3 2 1 0 1 2 3 2
((((((((x div (2 + 2)) + x) + 2) * (2 + 1)) + 1) div 2) * 2) + 1)
A260714: 7 11 13 17 23 25 29 31 37 41 43 47 53 55 59 61
(((x mod (((x div 2) div (((x * 2) mod (2 + 1)) + 1)) + 2)) div 2) + 1)
A340034: 1 1 1 1 1 2 1 1 1 2 1 2 3 1 3 4
((((x mod (2 - (x div (((x div 2) mod (2 + 1)) + 1)))) mod 2) + 2) + 1)
A300959: 3 3 3 3 3 3 3 4 3 4 3 3 3 4 4 3
((((((x + 1) * 2) mod (((1 - x) div (2 + 1)) - 1)) div 2) mod 2) + 1)
A189225: 1 1 1 1 1 1 2 2 2 1 2 2 1 2 1 1
(((((x * x) * x) div ((x mod ((x div (2 + 1)) + 1)) + 2)) mod 2) + 1)
A331290: 1 1 1 2 1 2 1 1 1 2 1 1 1 2 2 2
((((x mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1)) div 2) * 2) + 1)
A307855: 1 1 1 1 1 1 1 1 3 1 1 1 5 7 1 1
(((((((x div 2) * x) - 2) mod (((2 + 1) * 2) + 1)) mod 2) * 2) - 1)
A070748: 1 1 ~1 1 ~1 1 ~1 1 ~1 ~1 ~1 ~1 ~1 ~1 1 1
((((((x * x) div 2) mod ((((x div 2) + 1) div 2) + 1)) div 2) * 2) + 1)
A100375: 1 1 1 1 1 1 1 1 3 1 3 1 1 1 3 3
((((x mod ((x mod (1 - (x div ((0 - 2) - 2)))) + 1)) div 2) * 2) + 1)
A228925: 1 1 1 1 1 3 1 1 3 1 1 3 1 1 5 1
((x div (((((x - 2) * 2) mod (((2 + 2) * 2) + 1)) + 2) * 2)) + 1)
A047040-A047020: 1 1 1 1 1 1 1 2 1 1 1 3 2 2 1 1
((x div ((((1 - (x * 2)) mod (((2 + 2) * 2) + 1)) + 2) * 2)) + 1)
A144379: 1 1 1 1 1 2 1 1 1 2 1 1 2 2 4 1
((((x - ((x div (((2 - x) div (2 + 2)) - 2)) - 1)) * 2) * 2) + 1)
A166409-A077425: 5 13 17 21 29 33 37 41 45 53 57 61 65 69 73 77
(x - ((((((1 - x) div (2 + 1)) * ((2 + 2) + 1)) div 2) div 2) - 1))
A188218: 1 2 5 6 7 9 10 11 13 14 15 17 18 19 22 23
((1 - x) mod ((((((x div 2) - 1) mod ((2 + 2) + 1)) div 2) * 2) + 1))
A064532: 1 0 0 0 0 0 1 0 2 1 1 0 0 0 0 0
(((((((x + 1) * 2) * (x + 1)) div ((2 + 2) + 1)) + 2) + 2) + 1)
A290744: 5 6 8 11 15 19 24 30 37 45 53 62 72 83 95 107
((((x + 2) div ((((2 - x) div 2) mod ((2 + 2) + 1)) + 2)) mod 2) + 1)
A026465: 1 2 1 1 2 2 2 1 1 2 1 1 2 1 1 2
(x - ((x div (0 - ((((x div 2) mod ((2 + 2) + 1)) + 2) + 2))) - 1))
A039157: 1 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19
(((x div 2) - (x div ((((x div 2) mod ((2 + 2) + 1)) + 2) + 2))) + 1)
A256555-A117119: 1 1 2 2 3 3 4 3 4 4 4 4 5 5 6 6
(((2 + 1) * x) - ((x * 2) mod (((((2 + 2) + 1) * 2) * 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A004850: 0 1 2 3 4 5 6 7 8 9 10 32 33 34 35 36
((((x * x) * x) * (x * x)) mod (((((2 + 2) + 1) * 2) * 2) + 1))
A070605: 0 1 11 12 16 17 6 7 8 18 19 2 3 13 14 15
((((((x div ((2 + 2) * 2)) + x) * ((2 + 2) + 1)) div 2) div 2) + 1)
A236207: 1 2 3 4 6 7 8 9 12 13 14 16 17 18 19 21
(x - ((((x - (((x + 2) * x) div ((2 + 2) + 1))) div 2) * 2) - 1))
A008812: 1 2 3 4 5 8 11 14 17 20 25 30 35 40 45 52
(((((x mod (2 + 1)) - 1) mod ((x div ((2 + 2) + 1)) + 2)) mod 2) + 1)
A100429: 2 1 2 2 1 2 1 1 2 1 1 2 2 1 2 1
(((x - (((x * 2) - 1) div ((x div ((2 + 2) + 1)) + 2))) div 2) + 1)
A025779: 1 1 1 1 1 2 2 2 2 3 4 4 4 4 5 6
(((((x div 2) - (((1 - x) * x) div ((2 + 2) + 1))) div 2) div 2) + 1)
A029070: 1 1 1 1 2 2 3 4 5 5 6 7 9 10 12 13
(((((((x mod ((x div 2) + 2)) * x) div (2 + 2)) - 1) div 2) div 2) + 1)
A096749: 0 0 1 0 0 1 1 1 1 2 2 3 3 4 5 6
((((((x mod (2 + 1)) - 1) mod ((x div (2 + 2)) + 1)) mod 2) * 2) - 1)
A244513: ~1 ~1 ~1 ~1 ~1 1 1 ~1 1 ~1 ~1 1 1 ~1 1 1
((((x mod ((((2 + 1) * x) mod ((x div 2) + 2)) + 1)) div 2) * 2) + 1)
A140750: 1 1 1 1 1 1 3 1 1 1 1 5 3 5 1 1
(x - (((((((2 - x) * x) div (2 + 2)) * (2 + 1)) div 2) div 2) - 1))
A022786: 1 2 3 5 7 9 12 15 18 22 26 31 36 41 47 53
(((((x div 2) + x) mod ((((x div 2) * 2) div (2 + 1)) + 2)) div 2) + 1)
A329720-A214403-A140194: 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 3
(x - ((((x * 2) + 1) div ((((x div 2) div (2 + 1)) + 2) + 2)) - 1))
A112231: 1 2 2 3 3 4 5 5 6 7 7 8 9 10 11 11
((x + 2) mod ((x div ((x div (((x div 2) mod (2 + 1)) + 2)) + 2)) + 1))
A339896: 0 0 0 1 0 1 0 1 1 1 0 1 0 1 1 2
(((((x div 2) mod 2) - (((x + 2) * x) mod ((2 + 1) * 2))) div 2) + 1)
A115953: 1 ~1 0 0 1 ~2 1 0 0 ~1 1 ~1 1 ~1 0 0
(((x div 2) + 2) div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1))
A236627: 0 0 0 0 1 0 1 0 1 1 2 0 2 1 1 1
(((((((x + 1) div ((2 + 2) + 1)) + x) * (2 + 1)) div 2) * 2) + 1)
A187108: 1 3 7 9 15 19 21 25 27 33 37 39 43 45 51 55
((x div (((x + 1) div ((((x div 2) * x) mod (2 + 1)) + 2)) + 2)) + 1)
A237110: 1 1 2 1 2 2 2 2 3 2 3 2 2 2 3 2
((x * x) - ((((((2 + 2) * 2) * (x - (2 + 1))) + 2) * 2) + 1))
A127147: 43 28 15 4 ~5 ~12 ~17 ~20 ~21 ~20 ~17 ~12 ~5 4 15 28
(((1 - x) div (((((x + 1) div 2) * (x div (2 + 1))) div 2) + 2)) + 1)
A185124-A143064: 1 1 0 0 0 ~1 0 0 ~1 0 0 0 0 0 0 0
((((x * 2) * 2) - ((x - ((2 - (x div (2 + 1))) div 2)) div 2)) + 1)
A063957: 2 5 9 12 15 19 22 26 29 32 36 39 43 46 50 53
((((((x mod 2) + (x * 2)) + 1) mod ((x div (2 + 1)) + 2)) div 2) - 1)
A328384: ~1 ~1 ~1 0 ~1 ~1 ~1 ~1 ~1 ~1 ~1 1 ~1 1 1 1
(((x - 1) mod (1 - ((1 - x) div (((x mod (2 + 1)) + 2) + 2)))) + 1)
A292997: 1 1 2 1 2 1 3 1 2 3 1 2 4 1 2 5
(((x mod 2) + 1) mod ((x div ((x div ((x mod (2 + 1)) + 2)) + 2)) + 1))
A066057: 0 0 1 0 1 0 1 0 1 0 1 2 1 2 1 0
(((x div ((2 + 2) * 2)) - ((x mod ((x mod (2 + 1)) + 2)) div 2)) + 1)
A169988: 1 1 0 1 1 1 1 1 2 2 2 1 2 2 1 2
((((((((((x + 1) div 2) div 2) + 1) * x) div 2) + 1) div 2) div 2) + 1)
A168656: 1 1 1 2 2 2 2 3 4 4 5 6 7 7 8 10
(((x * 2) - (((((x * x) * x) mod ((x * 2) - 1)) div 2) mod 2)) + 1)
A268273: 1 3 4 6 9 11 12 15 16 18 21 23 24 26 29 30
((((((((x + 1) * x) div (2 + 2)) + (x div 2)) + 1) div 2) div 2) + 1)
A029036: 1 1 1 2 3 3 4 5 6 7 9 10 12 14 16 18
((((((((x div (2 + 1)) * x) div 2) + (x div 2)) + 1) div 2) div 2) + 1)
A117144: 1 1 1 1 2 2 3 3 4 5 6 6 8 9 10 12
(((x mod (((x div ((2 + 2) * 2)) * ((x div 2) + 1)) - 2)) div 2) + 1)
A029237: 1 0 1 0 1 0 1 0 2 1 2 2 2 2 2 2
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * 2) + 1)
A157454: 1 1 1 1 3 1 1 3 3 1 1 3 5 3 1 1
((((x div 2) - (x mod 2)) + 2) mod (((((x div 2) + 1) div 2) div 2) + 1))
A145152: 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2
(x - (((((((2 - x) div 2) - x) * ((x div 2) + 1)) div 2) div 2) - 1))
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((((((x mod (((2 - x) div (2 + 2)) - 2)) + x) + 1) div 2) div 2) + 1)
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((2 - x) mod (((((((x * x) div (2 + 2)) + x) + 1) div 2) div 2) + 1))
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(((((1 - ((x + 2) mod ((2 + 2) * 2))) mod (x + 1)) div 2) * 2) + 1)
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((((x * 2) div (((((x * 2) * 2) * 2) mod (x + 1)) + 2)) mod 2) - 1)
A123192: ~1 0 0 0 ~1 0 0 0 0 ~1 ~1 0 0 0 0 0
((((((x * x) div (2 + 2)) + ((x + 2) * (x + 1))) div 2) div 2) + 1)
A231408: 1 2 4 6 9
A255977: 1 2 4 6 9 13 17 22 27 33 40 47 55 64 73 83
(x - (((((x - (x div (2 + 2))) div 2) - ((x + 1) * 2)) * 2) - 1))
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(((((x * x) div (((2 + 2) * 2) + 1)) + ((x + 1) div 2)) div 2) + 1)
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((x - ((x div ((2 + 2) * 2)) - 1)) div ((((x + 1) div 2) div 2) + 1))
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(((x * x) mod (((2 + 2) + 1) * 2)) mod ((((x + 1) div 2) div 2) + 1))
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((((2 - (x div 2)) * (2 + 1)) - 2) mod ((((x + 1) div 2) div 2) + 1))
A241092: 0 0 0 1 0 0 1 1 1 1 1 1 2 2 3 3
((((x - 1) mod ((x div 2) + 2)) div 2) * ((((x + 1) div 2) div 2) - 1))
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((((((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1)) div 2) div 2) + 1)
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(((x - (((((x div 2) div (2 + 1)) + x) div (0 - 2)) * 2)) + 2) + 1)
A188073: 3 6 7 10 11 14 17 18 21 22 25 26 29 32 33 36
(x - ((((((x - 1) div (2 + 1)) * (x div (0 - 2))) div 2) div 2) - 1))
A160697: 1 2 3 4 6 7 8 10 11 13 15 17 18 21 22 24
(((((((((x * 2) * 2) * 2) * (x + 1)) + 1) * 2) * 2) * 2) - 1)
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(((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * 2) * 2) + 1)
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(((((x - ((1 - (x div 2)) mod ((2 + 2) + 1))) div 2) mod 2) * 2) - 1)
A283131-A242179: 1 ~1 1 1 ~1 ~1 1 ~1 1 1 ~1 1 ~1 ~1 1 1
(((x - ((x - 2) div (((x div ((2 + 2) + 1)) + 2) + 2))) mod 2) + 1)
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(((((x + 2) div (1 - ((x mod ((2 + 2) + 1)) * 2))) mod 2) * 2) + 1)
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((((x - 1) div ((((x div (2 + 1)) mod (2 + 1)) + 2) * 2)) div 2) + 1)
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((x div (((x + 1) div ((((x + 1) mod (2 + 1)) + 2) + 2)) + 2)) + 1)
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(x - (((((((x - 1) div 2) * (x div (2 + 1))) div 2) div 2) div 2) - 1))
A128635: 1 2 3 4 5 6 7 8 9 9 10 11 11 11 12 12
(((x - ((x mod (2 - (x - ((x mod (2 + 1)) div 2)))) div 2)) mod 2) + 1)
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(((((((((x div 2) - 1) div 2) mod 2) * (x + 1)) div 2) div 2) div 2) + 1)
A047971: 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 3
(1 - (x mod (((x div (2 + 1)) - ((((x + 1) div 2) div 2) * 2)) - 1)))
A251717: 1 1 1 2 1 2 1 3 2 2 1 2 1 3 2 2
(((x - (((2 + 1) * x) div ((x div ((0 - 2) - 2)) - 2))) div 2) + 1)
A091863: 1 2 3 4 5 5 6 7 8 8 9 10 11 11 11 12
((((x - (((x * x) * x) div ((x mod (0 - 2)) - 2))) div 2) div 2) + 1)
A135445: 1 1 2 4 10
A301338: 1 1 2 4 10 12 29 31
((x + 2) div (((((x mod ((x div (2 + 1)) + 2)) mod 2) + 2) * 2) + 1))
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(((((((2 - ((x div 2) - 1)) mod (x + 1)) div 2) div 2) * 2) * 2) + 1)
A290832: 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 13
((x + 1) div (((((2 - (((x - 1) div 2) div 2)) + 2) * 2) * 2) - 1))
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(((x * x) * (x - 1)) div ((((((2 + 2) * 2) * 2) * 2) * 2) + 1))
A175780: 0 0 0 0 0 1 2 4 6 9 13 18 24 31 39 48
((x mod (((((x - 1) * x) mod (((2 + 2) * 2) * 2)) + 2) * 2)) + 1)
A087999: 1 2 3 4 5 6 7 8 9 10 11 12 1 14 15 8
(((((x - (((1 - x) * x) div ((2 + 2) * 2))) div 2) div 2) + 2) + 1)
A120204: 3 3 3 4 4 5 5 6 6 7 8 9 10 11 12 13
(((((2 - ((x - ((2 - x) div (2 + 2))) div 2)) div 2) mod 2) * 2) - 1)
A330034: 1 1 ~1 ~1 ~1 1 1 1 ~1 ~1 ~1 1 1 1 1 ~1
(x mod (((((x mod (2 - ((x div (2 + 2)) mod 2))) + 2) * 2) * 2) + 1))
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A331472: 0 1 2 3 4 5 6 7 8 9 1 11 3 4 5 6
(((((x - (((x div 2) mod 2) * 2)) mod ((2 + 2) * 2)) * 2) * 2) + 1)
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((((((x + 2) * 2) - ((x + 2) mod ((2 + 2) * 2))) * 2) * 2) - 1)
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(x - ((((((2 - x) * (x div 2)) div ((2 + 2) * 2)) div 2) div 2) - 1))
A039213: 1 2 3 5 6 7 8 9 10 11 13 14 15 17 18 19
((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) + 1))
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((((x - 2) * x) * (x - 1)) div (((((2 + 2) * 2) * 2) * 2) - 1))
A011913: 0 0 0 0 0 1 3 6 10 16 23 31 42 55 70 88
((((x * x) + (2 + 2)) * x) div (((((2 + 2) * 2) * 2) * 2) - 1))
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((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070614: 0 1 1 26 1 25 26 5 1 25 25 6 26 6 5 30
((x - 1) mod (((x mod (((1 - x) mod ((2 + 2) * 2)) + 2)) div 2) + 1))
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(x div (((x - ((x + 2) mod ((x div ((2 + 2) * 2)) + 2))) div 2) + 1))
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(x div (((x - ((x div (((2 - x) mod (2 + 2)) + 2)) div 2)) div 2) + 1))
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(x - ((((((1 - (x div 2)) * (x div (2 + 2))) div 2) div 2) * 2) - 1))
A317047: 1 2 3 4 7 8 9 10 13 14 15 16 21 22 25 26
(x div ((x div ((((x + 2) mod ((x div (2 + 2)) + 2)) mod 2) + 2)) + 1))
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((((x * 2) div (((x * 2) div ((x div (2 + 2)) + 2)) + 2)) + 2) + 1)
A145288: 3 3 4 4 5 5 5 5 5 6 5 6 7 6 7 6
(((2 + 2) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) + 2)) + 1)
A046607: 1 1 1 1 5 1 1 5 5 1 1 5 5 5 1 1
(2 div (((x * x) + 2) mod (((((x div (2 + 2)) + 2) + 2) * 2) + 1)))
A230279: 1 0 0 1 0 0 0 0 2 0 0 0 0 0 0 1
(x - (((2 - x) div (((x mod ((x div (2 + 2)) + 2)) + 2) + 2)) - 1))
A181092: 1 2 3 5 6 7 8 9 11 12 13 14 15 16 17 20
((((x div (((((2 + 2) * 2) - (x div 2)) * 2) * 2)) * 2) * 2) + 1)
A147280-A146370: 1 1 1 1 1 1 1 1 1 1 1 1 5 5 13 13
((((x - (((1 - x) * 2) div (((x div 2) + 2) + 2))) + 2) + 2) + 1)
A057854: 5 6 8 9 10 12 13 14 15 16 17 19 20 21 22 23
(x div ((x div ((((x - 2) mod (((x div 2) + 2) + 2)) mod 2) + 2)) + 1))
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((1 - x) mod ((((((2 - x) mod ((x div 2) + 2)) div 2) mod 2) * 2) + 1))
A284969: 0 0 0 1 0 0 0 0 0 0 0 0 1 0 2 0
(((x + 1) div ((((((x * x) - 1) div 2) mod (2 + 2)) + 2) * 2)) + 1)
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(x - (((x * 2) div (((x * 2) div (1 - ((2 + 2) * 2))) - 2)) - 1))
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(1 - (((x * 2) + 1) mod (((x div (1 - ((2 + 2) * 2))) * 2) - 1)))
A194899-A194871-A054073: 1 1 2 3 1 2 3 1 4 2 5 3 1 4 2 5
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * 2) + 1))
A070640: 0 1 13 15 16 2 8 9 4 4 9 8 2 16 15 13
((((((2 + 1) * 2) + 1) * x) + 1) * ((((2 + 2) * 2) * 2) - 1))
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(((((x - 2) * x) * (x - 1)) div 2) div ((((2 + 2) * 2) * 2) - 1))
A011912: 0 0 0 0 0 2 4 7 11 16 24 33 44 57 72 91
((((2 + 2) + 1) * (x + 1)) - (x div ((((2 + 2) * 2) * 2) - 1)))
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(x mod (x - (((((x mod (2 + 2)) * x) div ((2 + 2) * 2)) div 2) - 1)))
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((((x * 2) * 2) - ((x - ((2 - (x div (2 + 2))) div 2)) div 2)) + 1)
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((((x mod 2) - (((2 - (x div 2)) * (x div (2 + 2))) div 2)) div 2) + 1)
A029126: 1 1 1 1 1 1 1 2 2 2 2 3 4 4 5 5
((0 - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
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((x mod ((((((x * x) * x) div 2) mod ((x + 2) + 2)) + 2) * 2)) + 1)
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A072438: 1 2 3 4 1 6 7 8 9 2 11 12 1 14 3 16
(x div (((x - (x div (((x * x) mod ((x + 2) + 2)) + 2))) div 2) + 1))
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(((x mod ((((x div ((2 + 2) + 1)) * (x div 2)) div 2) + 2)) div 2) + 1)
A063746: 1 1 1 1 1 2 1 1 1 1 2 3 3 3 3 2
((((x mod ((x div (((2 + 2) * 2) - (x div 2))) + 2)) div 2) * 2) + 1)
A147266-A147152: 1 1 1 1 1 1 1 1 1 1 1 1 5 5 15 15
(((((((x mod (2 + 2)) * x) - 1) mod ((x div 2) + 2)) div 2) div 2) + 1)
A286885: 1 1 1 1 1 1 1 1 2 1 2 2 2 2 1 3
(((((((x * x) + (x div 2)) div 2) mod ((x div 2) + 2)) div 2) div 2) + 1)
A337277: 1 1 1 1 1 1 2 1 2 1 1 1 1 2 1 3
(x div (((x + 1) div ((((x * x) mod ((x div 2) + 2)) mod 2) + 2)) + 1))
A120675: 0 1 1 1 1 1 2 1 1 2 1 1 1 2 2 1
((x div (2 + 1)) mod (((x mod ((x mod ((x mod 2) + 2)) + 2)) * 2) + 1))
A322977: 0 0 0 1 0 1 0 2 0 0 0 3 0 1 0 2
(((((x + 1) div 2) - (((x + 2) div (2 + 1)) mod (2 + 2))) div 2) + 1)
A195852-A029132: 1 1 1 1 1 1 1 1 1 2 3 4 4 4 4 4
((((((x div 2) + x) div (2 + 2)) + ((x + 1) mod (2 + 2))) div 2) + 1)
A137419: 1 2 2 1 2 2 3 2 3 3 4 3 3 4 5 3
(((x - (x div (((2 + 2) * (0 - 2)) - 1))) + ((2 + 2) * 2)) + 1)
A043698-A043631-A031954: 9 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26
(1 - (((1 - x) * 2) div ((2 - (x div (1 - ((2 + 2) * 2)))) + 1)))
A060021: 1 1 2 2 3 3 4 4 4 5 5 5 6 6 7 6
(((x + 1) * x) - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) - 1))
A169627: 1 3 7 13 21 31
A025728: 1 3 7 13 21 31 43 57 73 91 110 131 154 179 206 235
((((((x + 2) * x) + 2) * (x + 1)) - 1) * (((2 + 2) * 2) + 1))
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(((((x - 2) * x) * (x - 1)) div (2 + 1)) div (((2 + 2) * 2) + 1))
A011909: 0 0 0 0 0 2 4 7 12 18 26 36 48 63 80 101
(x - (((((1 - x) * x) div 2) * (2 + 1)) * (((2 + 2) * 2) + 1)))
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(((1 - ((x mod 2) * 2)) * ((x * 2) + 1)) mod (((2 + 2) * 2) + 1))
A112282: 1 6 5 2 0 7 4 3 8 8 3 4 7 0 2 5
((((2 + 1) * x) + 2) - (((x * 2) + 1) div (((2 + 2) * 2) + 1)))
A249118-A093609: 2 5 8 11 13 16 19 22 25 27 30 33 36 38 41 44
(((((2 + 1) * x) + 1) * ((x mod 2) + 1)) mod (((2 + 2) * 2) + 1))
A173598: 1 8 7 2 4 5 1 8 7 2 4 5 1 8 7 2
((((((x mod 2) + x) * (2 + 2)) + x) + 1) * (((2 + 2) * 2) + 1))
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(x - ((x div (2 + 1)) - (((2 - x) + 1) div (((2 + 2) * 2) + 1))))
A074286: 0 1 2 2 2 3 3 4 5 5 6 7 7 7 8 8
((x * 2) - (((x div ((2 + 2) + 1)) mod 2) * (((2 + 2) * 2) + 1)))
A169910: 0 2 4 6 8 1 3 5 7 9 20 22 24 26 28 21
((x - (2 div (x - (((2 + 2) * 2) * 2)))) * (((2 + 2) * 2) + 1))
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((((x * 2) + 1) * 2) - (((1 - x) * 2) div (((2 + 2) * 2) + 1)))
A299637-A035487: 2 6 11 15 19 23 28 32 36 40 44 49 53 57 61 66
(((((2 + 1) * x) + 2) * (2 - (x mod 2))) mod (((2 + 2) * 2) + 1))
A146968: 4 5 7
A177883: 4 5 7 2 1 8 4 5 7 2 1 8 4 5 7 2
(((((((x + 2) * x) - 1) * x) * x) div 2) * (((2 + 2) * 2) + 1))
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(x - (((x mod (((2 + 2) + 1) * 2)) - x) * (((2 + 2) * 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A171120-A092907-A051022-A001633: 0 1 2 3 4 5 6 7 8 9 100 101 102 103 104 105
((((x + 1) * 2) * ((2 + 2) + 1)) + (x div (((2 + 2) * 2) + 1)))
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((((x * 2) * (2 + 1)) * (2 + 1)) - (x div (((2 + 2) * 2) + 1)))
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(((x mod 2) - ((x div 2) div (0 - 2))) - (x div (((2 + 2) * 2) + 1)))
A057526-A033265: 0 1 1 2 1 2 2 3 2 2 2 3 2 3 3 4
((((x + 1) * 2) * ((2 + 2) + 1)) + (x mod (((2 + 2) * 2) + 1)))
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A346261: 10 21 32 43 54 65 76 87 98 100 111 122 133 144 155 166
((((x div 2) * x) + 2) mod ((((x - 1) * x) mod ((2 + 2) * 2)) - 1))
A076953: 0 0 0 0 1 0 0 0 0 0 0 2 2 2 0 0
(((((x - 1) * x) div ((x + 2) + 2)) + (x div ((2 + 2) * 2))) + 1)
A100476: 1 1 1 1 2 3 4 4 6 7 8 9 10 11 12 13
((1 - (x div ((2 + 2) * (0 - 2)))) * ((x div ((2 + 2) * 2)) + 1))
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((x - ((x mod ((2 + 2) * 2)) - 1)) * ((x mod ((2 + 2) * 2)) + 1))
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(((x - ((((x + 1) mod ((2 + 1) * 2)) - x) div (2 + 2))) + 2) + 1)
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(((x div ((2 + 2) * 2)) - (x div (((2 - x) div (2 + 2)) - 2))) + 1)
A104055: 1 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5
(((((x div ((x mod (2 + 1)) + 2)) + 1) + (x div (2 + 2))) div 2) + 1)
A343378: 1 1 1 2 2 2 3 3 3 4 4 3 6 5 4 6
(((((x mod ((x div 2) + 1)) mod (2 + 1)) + (x div (2 + 2))) div 2) + 1)
A182134: 1 1 1 1 2 2 2 1 2 2 2 3 3 2 2 3
((x + 1) div (((((x - 1) mod (2 + 1)) + (x div (2 + 2))) * 2) + 1))
A222759: 0 2 1 0 1 1 1 2 1 1 2 1 1 2 1 1
((((((((x div 2) * x) div 2) + 1) div 2) - (x div (2 + 2))) div 2) + 1)
A267597: 1 1 1 1 1 2 3 3 4 4 6 7 8
((((2 - x) * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1))
A184159: 0 0 0 0 0 1 0 0 0 2 0 1 1 1 1 0
(x - (((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)))
A162906: 0 1 2 3 4 4 6 7 8 8 10 9 12 12 13 15
(((x - 1) * x) mod (x - (((1 - x) div ((x div (2 + 2)) + 2)) - 1)))
A068527: 0 0 2 1 0 4 3 2 1 0 6 5 4 3 2 1
(((2 + 2) + 1) - ((x + 2) mod ((2 - ((x div (2 + 2)) mod 2)) + 1)))
A081361: 3 5 4 3 5 4 5 4 4 3 5 4 5 4 5 4
(x div ((((((x div 2) + 1) mod (2 + 1)) + (x mod (2 + 2))) + 2) + 1))
A260088: 0 0 0 0 1 1 1 1 1 1 2 1 3 2 2 1
(((((((x div ((2 + 2) + 1)) * (x + 1)) + x) div 2) div 2) div 2) + 1)
A029097: 1 1 1 1 1 2 2 2 3 3 5 5 5 6 6 8
(x - ((((0 - ((x * x) mod (x - ((2 - x) div 2)))) div 2) * 2) - 1))
A263881: 1 2 3 6 7 10 11
A278965: 1 2 3 6 7 10 11 18 19
(((x * 2) - (((((x * x) * (2 + 1)) div (x + 2)) div 2) div 2)) + 1)
A256543: 1 3 5 6 7 9 10 11 13 14 15 17 18 19 20 22
(x div (((((1 - ((x mod (2 + 2)) * 2)) mod (x + 2)) + 2) * 2) - 1))
A281477: 0 0 0 1 0 0 0 0 1 0 0 0 2 0 0 0
(((x - ((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)) mod 2) + 1)
A321696-A321020: 1 2 2 1 1 2 2 2 1 1 1 2 2 2 2 1
((((((x div 2) - (x mod (2 + 2))) + 1) + ((x + 2) * 2)) * 2) + 1)
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((((x - ((2 - x) div (2 + 2))) div 2) + (((x + 2) * 2) * 2)) + 1)
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((((((((x - 1) div 2) div 2) div 2) mod 2) + ((x * 2) * 2)) * 2) + 1)
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(x - (((0 - (((((x div 2) + 1) div 2) * (x div 2)) div 2)) div 2) - 1))
A070124-A070118: 1 2 3 4 6 7 9 10 11 12 15 16 18 19 22 23
(x - ((x + 1) mod ((x mod (((1 - x) mod ((x div 2) + 2)) + 2)) + 1)))
A262882: 0 1 2 3 3 5 6 7 7 7 7 11 11 13 14 15
((((x * 2) - ((x div 2) - ((2 - x) div ((x div 2) + 2)))) * 2) + 1)
A077799: 3 5 7 9 11 15 17 21 23 25 27 31 33 37 39 43
(((x * 2) - (((x div 2) - ((2 - x) div ((x div 2) + 2))) div 2)) + 1)
A092979: 2 3 5 6 8 10 11 13 15 16 18 20 21 23 25 27
((((x div (2 + 2)) + 1) div (((x * x) mod ((x div 2) + 2)) + 2)) + 1)
A329325: 1 1 1 1 2 1 1 1 1 1 1 1 3 2 1 3
(((((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2) * 2) + 1)
A178207: 1 3 7 9 15 17 21 23 31 33 37 39 45 47 51 53
((x div ((((2 + 2) * 2) - ((x - 2) div ((x mod 2) + 2))) * 2)) + 1)
A144373: 1 1 1 1 1 1 1 1 1 1 2 2 3 2 4 2
(((((2 + 2) + 1) * x) - ((2 - x) div (((x mod 2) + 2) + 2))) + 1)
A001964: 1 6 11 17 22 27 32 37 43 48 53 58 64 69 74 79
((x + 1) div (1 - ((1 - (x * 2)) div ((((x mod 2) + 2) * 2) + 1))))
A050252: 1 1 1 2 1 2 1 2 2 2 2 3 2 2 2 2
(((2 + 2) + 1) mod (1 - ((2 - x) div ((((x mod 2) + 2) * 2) + 1))))
A224963: 0 0 0 1 1 1 1 1 2 1 2 2 2 2 1 2
(((x mod ((x div (2 + 2)) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1))
A063658: 0 0 0 1 0 0 0 2 1 0 0 3 0 0 0 4
(1 - (((2 + 2) + 1) mod ((((x div 2) + (x * 2)) mod (2 + 2)) + 1)))
A128130: 1 ~1 0 0 ~1 1 0 0 1 ~1 0 0 ~1 1 0 0
(1 - ((x * 2) mod ((((x div (2 + 1)) + (x div 2)) mod (2 + 2)) + 1)))
A218220: 1 1 1 1 1 ~1 1 1 0 ~1 1 1 1 ~1 1 1
((((((x + 2) * x) + 1) * ((2 + 2) + 1)) - 1) * ((2 + 2) + 1))
A158446: 20 95 220 395 620 895 1220 1595 2020 2495 3020 3595 4220 4895 5620 6395
((((((x + 1) * x) div 2) * ((2 + 2) + 1)) + 1) * ((2 + 2) + 1))
A164015: 5 30 80 155 255 380 530 705 905 1130 1380 1655 1955 2280 2630 3005
((((((x + 2) * 2) * (x + 1)) * (2 + 1)) - 1) div ((2 + 2) + 1))
A227582: 2 7 14 23 35 50 67 86 107 131 158 187 218 251 287 326
((((x - (((2 - x) div 2) div (2 + 1))) * 2) + 1) * ((2 + 2) + 1))
A229312: 5 15 25 45 55 65 75 85 95 115 125 135 145 155 165 185
((x mod (x - ((x + 1) mod (((2 + 1) * 2) + 1)))) mod ((2 + 2) + 1))
A037883-A037847: 0 0 0 0 0 0 0 1 2 3 4 0 0 0 1 2
(1 - ((((x + 1) * x) mod (((2 + 1) * 2) + 1)) mod ((2 + 2) + 1)))
A131372: 1 ~1 0 1 0 ~1 1 1 ~1 0 1 0 ~1 1 1 ~1
((x mod (((((x div (2 + 2)) + x) + 1) div 2) + 1)) mod ((2 + 2) + 1))
A165360: 0 1 0 0 0 1 1 2 2 2 3 3 3 4 4 0
(((x * x) * (x * x)) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A070588: 0 1 16 36 31 40 36 16 1 36 10 16 36 31 31 0
(x - (((((1 - x) * x) div 2) * ((2 + 2) + 1)) * ((2 + 2) + 1)))
A255186: 0 1 27 78 154 255 381 532 708 909 1135 1386 1662 1963 2289 2640
((x - ((((1 - x) * x) div 2) * ((2 + 2) + 1))) * ((2 + 2) + 1))
A153785: 0 5 35 90 170 275 405 560 740 945 1175 1430 1710 2015 2345 2700
(((((x + 2) * x) + 2) + (x div ((2 + 2) + 1))) div ((2 + 2) + 1))
A248360: 0 1 2 3 5 7 10 13 16 20 24 29 34 39 45 52
((((x mod (2 + 1)) - 1) mod (((x mod 2) + 2) + 1)) + ((2 + 2) + 1))
A227537: 7 5 6 8 5 6 7
((((((x * 2) * (x + 1)) + 1) * 2) * (2 + 1)) div ((2 + 2) + 1))
A250121: 1 6 15 30 49 73 102 135 174 217 265 318 375 438 505 577
((((x div (2 + 2)) + ((x + 1) * 2)) * (2 + 1)) div ((2 + 2) + 1))
A325597: 1 2 3 4 6 7 9 10 12 13 14 15 17 18 19 21
(((x mod ((2 + 1) * 2)) + ((x + 2) * (2 + 1))) div ((2 + 2) + 1))
A293428: 1 2 2 3 4 5 4 5 6 7 8 8 8 9 10 10
(((1 - (x mod (((x mod 2) + 2) + 1))) mod (x + 1)) div ((2 + 2) + 1))
A337509: 0 0 0 0 0 0 0 1 1 0 0 2 0 0 2 2
(((x + 1) * 2) - ((((x + 1) * 2) * (x + 1)) mod ((2 + 2) + 1)))
A130483: 0 1 3 6 10 10 11 13 16 20 20 21 23 26 30 30
(((((2 + 2) * 2) * (x + 1)) + x) - ((x + 1) div ((2 + 2) + 1)))
A277052: 8 17 26 35 43 52 61 70 79 87 96 105 114 123 131 140
(((((((x * 2) + 1) * 2) * 2) + x) * (x + 1)) * ((2 + 2) + 1))
A304507: 20 130 330 620 1000 1470 2030 2680 3420 4250 5170 6180 7280 8470 9750 11120
(((((((x + 2) * 2) * 2) * 2) + x) * (x + 1)) div ((2 + 2) + 1))
A194116: 3 10 20 34 52 73 98 126 158 194 233 276 322 372 426 483
((x * x) - (((((1 - x) * x) div 2) * (x - 1)) * ((2 + 2) + 1)))
A226449: 0 1 9 39 106 225 411 679 1044 1521 2125 2871 3774 4849 6111 7575
((((((x * x) * 2) * ((2 + 2) + 1)) + 1) * 2) * ((2 + 2) + 1))
A158492: 10 110 410 910 1610 2510 3610 4910 6410 8110 10010 12110 14410 16910 19610 22510
((x * 2) - (((x - ((x div (2 + 2)) + 1)) * 2) div ((2 + 2) + 1)))
A114571: 1 2 4 6 8 9 11 12 14 16 18 19 21 23 24 26
(x - (((((x div 2) * (x + 1)) div (2 + 1)) + 2) div ((2 + 2) + 1)))
A080595: 0 1 2 3 3 4 5 5 6 6 6 7 7 7 7 8
((((((x div 2) * (x div 2)) + 2) * (2 + 1)) + 2) div ((2 + 2) + 1))
A099770: 1 1 2 2 4 4 7 7 11 11 16 16 23 23 31 31
(x - ((0 - (((((x mod 2) + x) * 2) + 1) * 2)) div ((2 + 2) + 1)))
A187582: 1 3 4 7 8 11 12 14 15 18 19 21 22 25 26 29
((x * x) mod (((x - 2) * x) - (((0 - 2) - 2) * ((2 + 2) + 1))))
A085942: 0 1 4 9 16 25 36 49 64 81 0 2 4 6 8 10
(((((x * 2) - (x mod ((2 + 2) + 1))) * 2) * 2) * ((2 + 2) + 1))
A061830: 0 20 40 60 80 200 220 240 260 280 400 420 440 460 480 600
(((((x mod (2 + 2)) * ((x div 2) + 1)) div 2) + 2) div ((2 + 2) + 1))
A035465: 0 0 0 1 0 0 1 1 0 0 1 2 0 1 2 2
((1 - ((x mod ((x mod ((2 + 2) * 2)) + 2)) mod 2)) * ((2 + 2) + 1))
A036478: 5 0 5 0 5 0 5 0 5 5 5 0 5 5 5 5
((((x * x) * x) * (x * x)) mod (((2 + 2) * 2) * ((2 + 2) + 1)))
A070623: 0 1 32 3 24 5 16 7 8 9 0 11 32 13 24 15
(1 - ((x mod 2) - ((((x + 1) * x) div (2 + 2)) div ((2 + 2) + 1))))
A116928: 1 0 1 0 2 1 3 2 4 4 6 6 8 9 11 12
(((((2 mod ((x div (2 + 2)) + 1)) + x) + 2) * 2) * ((2 + 2) + 1))
A166730: 20 30 40 50 60 70 80 90 120 130 140 150 160 170 180 190
((x * x) - (x - (((((2 + 1) * x) + 2) * 2) * ((2 + 2) + 1))))
A304832: 20 50 82 116 152 190 230 272 316 362 410 460 512 566 622 680
(x - (((1 - ((x mod 2) * 2)) * ((x + 2) + 2)) div ((2 + 2) + 1)))
A127367: 0 2 1 5 3 7 4 10 6 12 8 14 9 17 11 19
((x * 2) - ((((x mod ((2 + 2) + 1)) + x) * 2) div ((2 + 2) + 1)))
A047597: 0 2 3 4 5 8 10 11 12 13 16 18 19 20 21 24
(x - ((((x mod (((2 + 2) + 1) * 2)) - x) * 2) * ((2 + 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A181352-A056143: 0 1 2 3 4 5 6 7 8 9 110 111 112 113 114 115
((x * 2) - (((((0 - x) mod (2 + 2)) + x) - 2) div ((2 + 2) + 1)))
A228246: 1 2 4 6 8 9 11 13 15 16 18 20 22 24 26 28
((((x - ((x div 2) mod 2)) + (2 + 1)) * (x + 2)) - ((2 + 2) + 1))
A076854: 1 7 11 20 37
((((((2 + 2) * 2) * 2) + x) * 2) - ((x + 2) div ((2 + 2) + 1)))
A029925: 32 34 36 37 39 41 43 45 46 48 50 52 54 55 57 59
((((x + 1) div ((2 + 2) + 1)) + x) + ((x + 2) div ((2 + 2) + 1)))
A047295: 0 1 2 4 6 7 8 9 11 13 14 15 16 18 20 21
(2 - (((x - ((((2 + 2) * 2) * 2) + 1)) * x) * ((2 + 2) + 1)))
A120826: 2 82 152
((x div 2) - (((((x div 2) * x) div (2 + 1)) - x) div ((2 + 2) + 1)))
A075172: 0 1 2 2 3 3 3 3 4 4 4 4 4 4 4 3
(x - ((x mod 2) - (1 - (((x div (2 + 1)) + x) div ((2 + 2) + 1)))))
A342169: 1 1 3 3 4 4 6 6 7 7 9 9 10 10 12 11
(x - ((x div (((2 + 2) * 2) + 1)) - ((1 - x) div ((2 + 2) + 1))))
A005375: 0 1 1 2 3 4 5 5 6 6 7 8 8 9 10 11
((((((x * x) mod ((2 + 2) + 1)) + 2) * 2) + x) div ((2 + 2) + 1))
A058207: 0 1 2 3 2 1 2 3 4 3 2 3 4 5 4 3
((((x div (((x mod (2 + 2)) + 2) + 2)) * 2) + x) mod ((2 + 2) + 1))
A002828: 0 1 2 3 1 2 3 4 2 1 2 3 3 2 3 4
((((x div 2) + 1) div 2) - ((((x mod 2) * 2) + x) div ((2 + 2) + 1)))
A100073: 0 0 1 0 1 0 1 1 1 0 1 1 1 0 2 1
((((2 + 1) * x) + 2) - ((((2 - x) div 2) - x) div ((2 + 2) + 1)))
A190059: 2 6 9 12 15 19 22 25 29 32 35 39 42 45 48 52
(((x + 1) * 2) - ((x * x) div (((x div 2) + x) + ((2 + 2) + 1))))
A248612: 2 4 6 7 9 10 12 13 15 16 17 19 20 21 23 24
((((((x * 2) + 1) * 2) * 2) div (2 + 1)) - (x div ((2 + 2) + 1)))
A231407: 1 4 6
A190081: 1 4 6 9 12 13 16 19 21 24 26 28 31 34 36 38
((x - ((x div (((0 - 2) - 2) - 1)) * 2)) + (x div ((2 + 2) + 1)))
A047426: 0 3 4 5 6 8 11 12 13 14 16 19 20 21 22 24
(((((x * x) + 1) + (2 mod (x + 1))) div 2) + (x div ((2 + 2) + 1)))
A337502: 0 1 3 6 9 15 20 27 34 43
((((x div (2 + 2)) + x) + ((x + 1) * 2)) - (x div ((2 + 2) + 1)))
A190079: 2 5 8 11 15 17 20 23 27 30 32 35 39 42 45 47
(((((x div 2) mod (2 + 2)) + x) div (2 + 2)) - (x div ((2 + 2) + 1)))
A322975: 0 0 0 1 1 0 1 1 1 1 0 1 1 1 2 1
((x - (((2 - x) + 2) * (x div (2 + 2)))) - (x div ((2 + 2) + 1)))
A067570: 0 1 2 3 4 5 7
A050763: 0 1 2 3 4 5 7 9 15 18
(((((x + 1) div ((2 + 2) + 1)) * 2) + x) + (x div ((2 + 2) + 1)))
A088414: 0 1 2 3 6 8
A047405: 0 1 2 3 6 8 9 10 11 14 16 17 18 19 22 24
(((x + 1) mod (2 + 1)) mod (2 - (((1 - x) * x) mod ((2 + 2) + 1))))
A014099: 1 0 0 ~1 0 0 1 0 0 0 0 0 0 0 0 1
(((x * 2) - (((((x div 2) + 1) mod (2 + 1)) + x) div (2 + 2))) + 1)
A027440: 1 3 4 6 8 10 12
A286992: 1 3 4 6 8 10 12 13 15 17 19 21 22 24 25 27
(((((((2 + 2) * 2) + 1) mod ((x div 2) + 1)) + x) div (2 + 2)) + 1)
A243284-A243283-A085501-A069623: 1 1 1 2 2 2 2 3 4 4 4 4 4 4 4 5
(((x * 2) - (((((1 - x) * x) div (2 + 2)) + x) div (2 + 2))) + 1)
A134917: 1 3 5 7 9 11 14 16 19 22 25 28 31 34 37 41
((((((((x + 1) div 2) div 2) * (x div 2)) div 2) + x) div (2 + 2)) + 1)
A025773: 1 1 1 1 2 2 2 3 4 4 4 5 6 6 7 8
(((x * 2) - (((x - 2) * x) div (((x div 2) + x) + (2 + 2)))) + 1)
A185600: 1 4 5 7 9 10 12 13 14 16 17 19 20 21 23 24
((((x + 2) * x) mod (((2 + 2) * (x + 1)) + (x div (2 + 2)))) + 1)
A120866: 1 4 9 16 4 11 20 31 5 16 29 44 4 19 36 55
((2 - ((2 - x) div ((x div 2) + 2))) + (x mod ((x div (2 + 2)) + 1)))
A138099: 1 2 2 3 3 4 3 4 5 4 5 6 4 5 6 7
((((((x + 1) * 2) * (2 + 1)) * (2 + 1)) - (x mod (2 + 2))) - 1)
A188290: 17 34 51 68 89 106 123 140 161 178 195 212 233 250 267 284
(x - (((((x div (2 + 2)) mod 2) * (2 + 1)) - (x mod (2 + 2))) - 1))
A271833: 1 3 5 7 2 4 6 8 9 11 13 15 10 12 14 16
(((x + 2) mod ((((((x div 2) - 1) mod (2 + 1)) + x) div 2) * 2)) + 1)
A004738: 1 2 1 2 3 2 1 2 3 4 3 2 1 2 3 4
(((x - (((1 - x) * x) div (((x div (2 + 1)) + x) + 2))) * 2) + 1)
A143803: 1 3 7 9 13 17 19 23 27 31 33 37 41 45 49 51
((((((x * 2) div (((x div 2) div (2 + 1)) + 2)) + x) div 2) + 2) + 1)
A154660: 3 4 5 6 7 8
A050270: 3 4 5 6 7 8 8 8 9 10 11 12 12 12 13 14
(x - (((0 - ((x * x) div ((((2 + 2) * 2) + x) + 2))) div 2) - 1))
A008320-A004439: 1 2 3 4 6 7 8 9 11 12 14 15 16 18 19 21
(((x mod 2) + x) - ((((x * x) div (x - ((2 - x) div 2))) mod 2) - 1))
A105363: 1 2 3 5 4 6 7 9 8 11 10 12 13 15 14 17
((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2) + 1)
A307136: 3 4 5 5 6 6 7 7 7 8 8 8 9 9 9 9
(((x * 2) - ((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)) + 1)
A225647: 1 3 4 6 7
A184429: 1 3 4 6 7 9 10 11 13 14 15 17 18 19 20 22
(((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + (x * 2)) * 2) + 1)
A137002: 1 5 11 15
A284621: 1 5 11 15 21 27 31 37 41 47 53 57 63 69 73 79
(((((((x * 2) * (2 + 1)) + 1) * (x div 2)) + (x * 2)) * 2) + 1)
A014632: 1 5 35 51 117 145 247 287 425 477 651 715 925 1001 1247 1335
(((((x * 2) * 2) + 1) * ((x * 2) + 1)) * (((x * 2) * 2) + 1))
A015223: 1 75 405 1183 2601 4851 8125 12615 18513 26011 35301 46575 60025 75843 94221 115351
(((((2 + 1) * x) + 1) * ((x * 2) + 1)) * (((x * 2) * 2) + 1))
A033591: 1 60 315 910 1989 3696 6175 9570 14025 19684 26691 35190 45325 57240 71079 86986
(((((x div 2) - (x mod (2 + 2))) div 2) div 2) + (((x * 2) * 2) + 1))
A311432: 1 4 8 12 17 21 25 29 34 37 41 45 50 54 58 62
(((x div (((2 - x) div (2 + 2)) - 2)) + x) + (((x * 2) * 2) + 1))
A313693: 1 5 10 15 19 24 29 34 39 43 48 53 58 63 68 73
(((((2 + 1) * x) - 1) * ((x * 2) - 1)) * (((x * 2) * 2) - 1))
A033589: ~1 6 105 440 1155 2394 4301 7020 10695 15470 21489 28896 37835 48450 60885 75284
((((((x + 1) * x) div (((2 + 1) * 2) + 1)) + (x div 2)) div 2) + 1)
A049808: 1 1 1 2 3 4 5 6 8 9 11 12 15 17 19 21
(((x + 1) div (((((x div 2) - 1) mod (2 + 1)) + (x div 2)) * 2)) + 1)
A091654: 1 1 2 3 1 2 1 1 2 2 1 2 1 1 2 2
(((x - ((x + 2) div (((2 + 2) * (2 + 1)) - (x div 2)))) + 2) + 1)
A154660: 3 4 5 6 7 8
A247485: 3 4 5 6 7 8 9 9 10 11 12 13 13 14 14 15
(x - ((((((x + 2) * x) mod ((2 + 1) * 2)) + (x div 2)) div 2) - 1))
A267451: 1 1 2 2 4 3 6 5 6 7 9 7 10 10 11 11
(((((x * 2) - (x mod ((2 - (x mod 2)) * 2))) + (x div 2)) * 2) + 1)
A100531: 1 3 7 13 21 23 27 33 41 43 47 53 61 63 67 73
(((((((x div 2) + x) * (2 + 2)) + x) + 1) div ((x div 2) + 2)) + 1)
A231407: 1 4 6
A005670: 1 4 6 7 8 9 9 10 10 11 11 11 11 12 12 12
((((x mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + (x mod 2)) div 2) + 1)
A062362: 1 1 1 2 1 2 1 2 2 2 1 3 1 2 3 3
((((((2 - (x div (2 + 2))) div 2) + (x * 2)) - (x mod 2)) * 2) - 1)
A190226: 1 3 9 11 15 17 23 25 31 33 39 41 45 47 53 55
(x div (((((x div 2) + 2) + (x div (2 + 1))) div ((x mod 2) + 2)) + 1))
A318471: 0 1 1 1 1 2 1 2 1 2 1 2 1 2 2 3
((x + 2) div ((((x div ((2 + 2) * 2)) + 2) * ((x mod 2) + 2)) - 1))
A185217: 0 0 1 1 2 1 2 1 2 1 2 1 2 1 3 2
((((((x + 2) * (x + 2)) * (2 + 1)) + ((x * x) div 2)) div 2) - 1)
A101425: 5 12 24 38 57 78 104 132 165 200 240 282 329 378 432 488
((((x div 2) div ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1) mod (2 + 1))
A044950: 1 1 1 1 1 1 1 1 1 2 0 2 2 2 2 2
(((((2 + 2) + 1) mod (((x + 1) div (2 + 1)) + 1)) + 1) mod (2 + 1))
A039969: 1 1 2 2 2 0 0 0 2 2 2 1 1 1 0 0
((x - (((1 - x) div (((2 + 2) * (2 + 1)) - 1)) - 1)) * (2 + 1))
A336068: 3 6 12 15 18 21 24 27 30 33 36 39 42 48 51 54
(((((x div (2 + 1)) + 2) div ((x mod (2 + 1)) + 1)) + 1) div (2 + 1))
A025846: 1 0 0 1 0 0 1 1 0 2 1 0 2 1 1 2
(((x mod ((((x * x) - 2) mod ((2 + 1) * 2)) + 1)) + 1) mod (2 + 1))
A031358: 1 2 0 2 2 0 2 2 0 2 2 0 0 2 0 2
(((((x + 1) * 2) mod ((x div ((0 - 2) - 2)) - 1)) + 1) mod (2 + 1))
A091591: 1 1 1 1 1 1 0 2 1 1 2 1 2 2 1 1
(((((x + 1) div 2) div ((x mod ((2 + 2) * 2)) + 1)) + 1) mod (2 + 1))
A044949: 1 1 1 1 1 1 1 1 2 0 2 2 2 2 2 2
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1) * (2 + 1))
A111652: 3 6 6 9 9 9 12 12 12 12 15 15 15 15 15 18
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1) mod (2 + 1))
A204421: 1 2 2 0 0 0 1 1 1 1 2 2 2 2 2 0
((x mod ((x mod ((x div (((x div 2) mod 2) + 2)) + 1)) + 1)) mod (2 + 1))
A227836: 0 0 0 1 0 2 0 1 0 1 1 0 0 0 1 0
(((x mod ((((x - 1) mod ((x mod 2) + 2)) * 2) + 1)) + 1) mod (2 + 1))
A099544: 1 1 0 1 2 0 1 1 0 2 2 0 1 1 0 1
((x - (((2 - (x div (2 + 1))) mod ((2 + 2) + 1)) - 1)) mod (2 + 1))
A090239: 2 0 1 0 1 2 1 2 0 0 1 2 1 2 0 2
((((((x div (2 + 1)) * x) div 2) mod ((2 + 2) + 1)) + 1) mod (2 + 1))
A305714: 1 1 1 2 0 0 2 0 1 1 1
((x mod (((((x mod 2) - (x div 2)) + 2) * (2 + 1)) - 1)) mod (2 + 1))
A123550: 0 1 0 0 0 1 1 0 0 0 0 0 2 2 1 1
((((x * x) * (x + 2)) div (((x div 2) div (2 + 1)) + 1)) mod (2 + 1))
A051127: 0 0 1 0 0 1 0 1 2 1 0 0 0 2 1 0
(x - ((((((2 - (x div 2)) div 2) * x) div (2 + 1)) - 1) div (2 + 1)))
A082463: 1 2 3 4 5 6 7 9 10
A167207-A037143: 1 2 3 4 5 6 7 9 10 11 13 14 15 17 19 21
(x - (((((0 - 2) - 2) - 1) * ((x div (2 + 1)) + 1)) div (2 + 1)))
A287664: 2 3 4 7 8 9 11 12 13 16 17 18 21 22 23 25
((((x div ((x mod 2) - 2)) - 2) mod ((x div (2 + 1)) + 1)) mod (2 + 1))
A053200-A050870: 0 0 0 1 0 1 1 0 0 1 1 0 2 0 1 1
(x - (((1 - (x div (2 + 2))) * ((x div (2 + 1)) + 1)) div (2 + 1)))
A084689: 0 1 2 3 4 5 6 7 9
A326643: 0 1 2 3 4 5 6 7 9 11 12 13 16 17 18 19
((x mod ((((1 - x) * (x * 2)) mod ((x div 2) + 1)) + 1)) mod (2 + 1))
A341523: 0 0 0 0 0 2 0 0 0 1 0 2 0 1 1 0
(((((x + 2) mod (((2 + 1) * 2) + 1)) * (x + 1)) + 1) mod (2 + 1))
A125916: 0 1 1 0 1 1 2 2 1 2 2 1 1 0 1 1
((((((x mod ((x div 2) + 2)) div (2 + 1)) + 1) * 2) + 1) * (2 + 1))
A106326: 9 9 9 9 9 9 9 9 9 15 15 15 15 15 15 21
(((x + 2) div ((((x - 1) mod ((2 + 2) + 1)) * 2) + 1)) div (2 + 1))
A325774: 0 1 0 0 0 0 2 1 0 0 0 4 1 1 0 0
(1 - ((x mod (((((2 - x) div 2) div (2 + 1)) * 2) - 1)) div (2 + 1)))
A107260: 1 1 1 1 2 2 1 2 2 2 1 3 2 2 2 3
(((((x div 2) * x) * (x - 2)) mod (((2 + 1) * 2) + 1)) div (2 + 1))
A319080: 0 0 0 1 0 0 0 0 1 0 0 1 2 1 0 0
(((((x mod 2) * x) * (x div 2)) div (((2 + 1) * 2) + 1)) mod (2 + 1))
A254001: 0 0 0 0 0 1 0 0 0 2 0 1 0 2 0 0
((x - ((((1 - x) * x) div 2) * (((2 + 1) * 2) + 1))) * (2 + 1))
A152759: 0 3 27 72 138 225 333 462 612 783 975 1188 1422 1677 1953 2250
((((0 - (x mod (2 + 1))) mod ((x div (2 + 1)) + 2)) + 1) * (2 + 1))
A275363: 3 6 3 3 9 6 3 12 9 3 15 12 3 18 15 3
(((((x mod (((x mod 2) + 2) + 2)) * (x + 1)) div 2) + 1) mod (2 + 1))
A176820: 1 2 1 1 1 1 2 0 1 0 0 1 1 1 1 1
((2 - ((2 - x) div (1 - (x div (((0 - 2) - 2) - 1))))) + (2 + 1))
A272756: 3 5 5 6 6 7 7 7 7 8 8 8 8 8 8 9
(2 - (x - ((x - (x div ((x div ((0 - 2) - 2)) - 1))) * (2 + 1))))
A205559: 2 7 9 14 16 18 20 25 27 29 31 33 35 37 39 41
(((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) div (2 + 1))
A344612-A325280-A319453-A244925-A232539-A228128-A108947-A108934-A096651-A077042-A072233-A069713-A068914: 1 0 1 0 1 1 0 1 1 1 0 1 2 1 1 0
((((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) + 1) mod (2 + 1))
A204429: 1 0 0 2 2 2 1 1 1 1 0 0 0 0 0 2
((((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) - 1) mod (2 + 1))
A204431: 2 1 1 0 0 0 2 2 2 2 1 1 1 1 1 0
(((((x * x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod (2 + 1))
A165408-A124305: 1 0 1 0 0 1 0 1 0 1 0 0 2 0 1 0
((x - ((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1))) * (2 + 1))
A153783: 0 3 33 90 174 285 423 588 780 999 1245 1518 1818 2145 2499 2880
((x - (((2 + 2) * 2) + 1)) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A004507: 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070611: 0 1 5 0 25 20 0 13 17 0 19 23 0 16 11 0
((1 - (x mod ((((x mod 2) - (x div (2 + 2))) * 2) - 1))) mod (2 + 1))
A284441: 1 1 1 1 0 1 1 1 0 1 1 2 0 0 1 1
(1 - (((1 - (x div 2)) mod (((x mod (2 + 2)) * 2) - 1)) mod (2 + 1)))
A196840-A162298: 1 1 1 1 1 1 0 1 1 1 ~1 0 1 1 1 0
((x + 2) - ((((x * x) div (((x div 2) + 2) + 2)) + 1) div (2 + 1)))
A276656: 2 3 4 5 5 6 6 7 7 8 8 9 9 10 10 10
(x - (((((x div 2) - (x * 2)) - 1) div ((2 + 2) + 1)) * (2 + 1)))
A246303: 3 4 5 9 10 11 12 16 17 18 22 23 24 28 29 30
((x - ((((x mod 2) - x) * (2 + 2)) div ((2 + 2) + 1))) + (2 + 1))
A288553: 3 4 7 8 11 12 14 15 18 19 21 22 25 26 29 30
(x - ((((1 - x) div (2 + 1)) * (x div ((2 + 2) + 1))) div (2 + 1)))
A296241-A070932: 0 1 2 3 4 6 7 8 9 10 12 14 15 16 18 20
(((((2 + 2) * 2) * (x + 1)) + (x div ((2 + 2) + 1))) div (2 + 1))
A186540-A059556-A054088: 2 5 8 10 13 16 19 21 24 27 30 32 35 38 40 43
((((x * 2) + 1) * 2) - ((x - (x div ((2 + 2) + 1))) div (2 + 1)))
A180123: 2 6 10 13 17 21 25 28 32 36 40 43 47 51 54 58
((((((x div 2) * x) * (x - 2)) div ((x + 2) + 2)) + 1) div (2 + 1))
A319469: 0 0 0 0 1 1 2 3 5 6 9 11 15 17 22 24
(((((2 + 1) * 2) + 1) mod (x - (((x div 2) mod 2) - 1))) mod (2 + 1))
A236747: 0 1 1 1 2 1 1 0 1 1 1 1 1 1 1 1
(((1 - x) mod ((((x + 2) div (2 - (x mod 2))) + 2) + 1)) mod (2 + 1))
A037047: 1 0 1 0 0 0 2 0 1 0 0 0 0 0 0 0
((x - (x mod ((((x div 2) mod (2 + 1)) + 1) * (2 + 1)))) + (2 + 1))
A334625: 3 3 3 3 3 3 9 9 9 9 12 12 15 15 15 15
(((1 - x) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) mod (2 + 1))
A083054: 1 0 2 0 2 1 0 1 0 2 1 2 1 0 1 0
(((((2 - x) div 2) mod (2 + 1)) + ((x + 1) div (2 + 1))) div (2 + 1))
A191291: 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 2
((x - ((((x * 2) div ((2 + 2) + 1)) * 2) div (2 + 1))) mod (2 + 1))
A333307: 0 1 2 0 1 1 2 0 0 1 2 0 1 1 2 2
(x - (((((x div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) * (2 + 1)))
A245341: 0 1 2 3 4 2 3 4 5 6 4 5 6 7 8 3
(1 - (((x + 2) * x) div (x - (((2 + 2) * (2 + 1)) * (2 + 1)))))
A018050: 1 2 2 2 2 3 3 4 4 5 6 7 8 10 12 14
((((x * x) * x) * (x * x)) mod (((2 + 2) * (2 + 1)) * (2 + 1)))
A070619: 0 1 32 27 16 29 0 31 8 9 28 23 0 25 20 27
(x - ((x - ((((x div (2 + 1)) * x) - 2) div (2 + 1))) div (2 + 1)))
A062462: 0 1 1 2 3 4 5 6 7 9 10 11 13 14 16 18
(((((x * x) - 1) mod ((2 + 2) + 1)) + (x div (2 + 1))) div (2 + 1))
A219607: 1 0 1 1 0 1 0 1 1 1 2 1 2 2 1 3
(((2 + 1) * x) - ((((x mod 2) - x) - (x div (2 + 1))) div (2 + 1)))
A198268: 0 3 7 10 14 17 21 24 28 31 35 38 42 45 48 52
((((x + 1) * x) div 2) - ((((1 - x) * x) * (2 + 1)) * (2 + 1)))
A051873: 0 1 21 60 118 195 291 406 540 693 865 1056 1266 1495 1743 2010
(((x * x) mod (((((x div 2) * (2 + 1)) + x) * 2) - 1)) mod (2 + 1))
A063251: 0 0 1 0 1 1 1 0 1 1 2 1 2 2 1 0
(((((x + 2) + 2) * ((x + 2) + 1)) * ((x + 2) + 1)) * (2 + 1))
A202195: 108 240 450 756 1176 1728 2430 3300 4356 5616 7098 8820 10800 13056 15606 18468
(((x * x) * x) - ((((x + 2) + 1) * ((x + 2) + 1)) * (2 + 1)))
A153260: ~27 ~47 ~67 ~81 ~83 ~67 ~27 43 149 297 493 743 1053 1429 1877 2403
((((((x + 2) * 2) * 2) * (x + 1)) * ((x + 2) + 1)) div (2 + 1))
A130809: 8 32 80 160 280 448 672 960 1320 1760 2288 2912 3640 4480 5440 6528
(((((x * 2) - ((x div 2) mod 2)) * 2) + ((x + 2) + 1)) * (2 + 1))
A121453: 9 24 33 48 69 84 93 108 129 144 153 168 189 204 213 228
(((x * 2) div (((2 + 1) * 2) + 1)) + (((x * 2) + 1) * (2 + 1)))
A246388: 3 9 15 21 28 34 40 47 53 59 65 72 78 84 91 97
(x - ((((x div (2 + 1)) + 1) div 2) - (((x * 2) + 1) * (2 + 1))))
A342280: 3 10 17 23 30 37 44 51 58 64 71 78 85 92 99 105
(((((((x * x) * (2 + 1)) + x) * (x * x)) div 2) + 1) div (2 + 1))
A212089: 0 1 9 45 139 333 684 1258 2133 3402 5167 7542 10656 14647 19665 25875
(((((((x * x) * (2 + 1)) - x) * (x * x)) div 2) + 1) div (2 + 1))
A212088: 0 0 7 36 117 292 612 1143 1963 3159 4833 7099 10080 13914 18751 24750
((((((x div (2 + 2)) mod 2) * (x div (2 + 1))) + x) + 1) div (2 + 1))
A087182: 0 0 1 1 2 2 3 3 3 3 3 4 5 6 6 7
(((((x + 2) * x) * (x + 1)) * (((x + 2) * x) + 1)) div (2 + 1))
A143945: 0 8 72 320 1000 2520 5488 10752 19440 33000 53240 82368 123032 178360 252000 348160
(((((((x + 2) + 2) * 2) * (x + 1)) + 1) * (x + 1)) div (2 + 1))
A143941: 3 14 37 76 135 218 329 472 651 870 1133 1444 1807 2226 2705 3248
((((x mod (((x div (2 + 1)) + 2) * 2)) + 1) * (x + 1)) mod (2 + 1))
A087372: 1 1 0 1 1 0 1 1 0 1 2 0 1 1 0 2
(((((((x + 2) * x) + (2 + 2)) * 2) + 1) * (x + 1)) div (2 + 1))
A047667: 3 10 25 52 95 158 245 360 507 690 913 1180 1495 1862 2285 2768
((((x * x) * (x * x)) mod (((2 + 2) + 1) * (x + 1))) mod (2 + 1))
A337930: 0 1 1 1 0 1 1 1 1 2 0 1 1 1 1 2
(((((((x div 2) * x) div 2) + 2) div (2 + 1)) * (x + 1)) mod (2 + 1))
A055668: 0 0 0 1 1 0 0 2 0 0 0 0 0 2 0 0
(((((x div 2) div ((2 - (x mod 2)) + 1)) * 2) * (x + 1)) mod (2 + 1))
A141702: 0 0 0 0 0 0 2 1 0 1 1 0 1 0 0 0
((((((x div (2 + 1)) mod (2 + 1)) div 2) * 2) + (x + 1)) div (2 + 1))
A189635: 0 0 1 1 1 2 3 3 3 3 3 4 4 4 5 6
(((((((x + 2) * (x + 2)) div 2) + 2) * 2) * (x + 1)) * (2 + 1))
A192833: 24 72 180 336 600 936 1428 2016 2808 3720 4884 6192 7800 9576 11700 14016
((x div ((2 + 2) * 2)) - (x - (((2 + 2) * (x + 1)) * (2 + 1))))
A104340: 12 23 34 45 56 67 78 89
A228157: 12 23 34 45 56 67 78 89 101 112 123 134 145 156 167 178
(x - ((x div 2) - (((((x + 2) * x) * 2) * (x + 1)) div (2 + 1))))
A111746: 0 5 17 42 82 143 227 340 484 665 885 1150 1462 1827 2247 2728
(((((2 + 2) * (x + 1)) + x) * ((x * 2) * (x + 1))) div (2 + 1))
A035005: 0 12 56 152 320 580 952 1456 2112 2940 3960 5192 6656 8372 10360 12640
((((x * 2) + 1) div (((2 + 2) * 2) + 1)) + ((x + 1) * (2 + 1)))
A330115: 3 6 9 12 16 19 22 25 28 32 35 38 41 45 48 51
(((((x div (2 + 2)) + x) - 1) div (2 + 1)) + ((x + 1) * (2 + 1)))
A184119: 2 6 9 12 16 19 23 26 30 33 36 40 43 47 50 53
(((((x + 1) * 2) div ((2 + 2) + 1)) * 2) + ((x + 1) * (2 + 1)))
A189380: 3 6 11 14 19 22 25 30 33 38 41 44 49 52 57 60
(((x - (((x div 2) - 2) div (2 + 1))) div 2) + ((x + 1) * (2 + 1)))
A288999: 3 7 10 14 17 20 24 27 31 34 37 41 44 48 51 55
(((x - (x div ((2 + 2) * (0 - 2)))) div 2) + ((x + 1) * (2 + 1)))
A098005: 3 7 10 14 17 21 24 28 31 35 39 42 46 49 53 56
((((x - (x div ((0 - 2) - 2))) div 2) div 2) + ((x + 1) * (2 + 1)))
A080081-A059550: 3 6 9 13 16 19 23 26 29 33 36 39 42 46 49 52
(((x - (((x div 2) + x) div (2 + 2))) div 2) + ((x + 1) * (2 + 1)))
A080667: 3 6 10 13 16 20 23 26 29 33 36 39 43 46 49 53
(x - (((x + 2) div (1 - ((2 + 2) * 2))) - ((x + 1) div (2 + 1))))
A189796: 1 2 4 5 6 8 10 11 13 14 15 17 18 20 22 23
(((((2 - (x div 2)) mod (x + 2)) div 2) div 2) + ((x + 1) div (2 + 1)))
A081610: 0 0 1 1 1 2 3 4 5 5 5 6 6 6 7 8
(((((x + 2) * (x + 2)) div (2 + 1)) + 1) - ((x + 1) mod (2 + 1)))
A130205: 1 2 6 8 11 17 21 26 34 40 47 57 65 74 86 96
((((((((x + 2) * 2) + x) * x) + 2) * x) * (x + 1)) div (2 + 1))
A292057: 0 6 44 164 440 970 1876 3304 5424 8430 12540 17996 25064 34034 45220 58960
((((((x + 1) * 2) * (2 + 1)) + x) * 2) + ((x - 1) div (2 + 1)))
A193107: 11 26 40 54 69
(x - (((((x div (2 + 2)) mod 2) + x) div 2) + ((x - 1) div (2 + 1))))
A099386: 1 1 1 2 1 1 2 1 2 3 2 3 3 2 3 3
(((x div ((((x * x) + 2) mod ((2 + 2) + 1)) + 1)) + 2) div (2 + 1))
A220492: 0 0 1 1 1 1 1 1 2 1 1 1 2 2 1 2
(((((((x + 1) * 2) * (x + 1)) * (2 + 1)) - 1) * 2) * (2 + 1))
A158462: 30 138 318 570 894 1290 1758 2298 2910 3594 4350 5178 6078 7050 8094 9210
(((x div (((2 - ((x mod (2 + 1)) mod 2)) * 2) + 1)) * 2) div (2 + 1))
A049824: 0 0 0 0 0 0 0 1 0 0 2 1 1 2 1 2
(x - ((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * 2) * (2 + 1)))
A240832: 0 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3
(((((((x mod 2) * x) div 2) + 1) mod ((2 + 2) + 1)) + 2) div (2 + 1))
A194297: 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1
((((x * 2) + 1) mod (((x * 2) div ((2 + 2) + 1)) + 2)) div (2 + 1))
A260804: 0 0 0 0 0 1 0 1 0 1 1 1 0 2 0 2
((1 - (((x + 1) mod (0 - ((x div (2 + 2)) + 1))) div 2)) mod (2 + 1))
A192013: 1 1 1 1 2 1 2 1 1 2 2 1 0 2 2 1
(1 - (((x - ((2 + 2) mod ((x div (2 + 2)) + 1))) * 2) mod (2 + 1)))
A291137: 1 ~1 0 1 ~1 0 1 ~1 ~1 0 1 ~1 1 ~1 0 1
((((((x + 2) + 2) * x) * (((x + 2) + 2) + 1)) div 2) div (2 + 1))
A005586: 0 5 14 28 48 75 110 154 208 273 350 440 544 663 798 950
(x - ((((x div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2) * (2 + 1)))
A245349: 0 1 2 3 4 5 6 4 5 6 7 8 9 10 5 6
(((x - (1 - (((2 + 2) * (x + 1)) * (2 + 1)))) * 2) * (2 + 1))
A278126: 66 144 222 300 378 456 534 612 690 768 846 924 1002 1080 1158 1236
((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) * (2 + 1))
A324467: 0 3 3 6 3 6 6 9 3 6 6 9 6 9 9 12
(((2 - ((((2 - x) * x) div (2 + 2)) div (2 + 1))) * 2) div (2 + 1))
A058360: 1 1 1 2 2 2 2 3 4 5 6 7 8 9 10 12
((x - (2 + 1)) mod (((2 - ((1 - x) div (2 + 1))) * 2) div (2 + 1)))
A324393: 0 0 1 0 1 0 1 0 2 0 1 0 1 2 3 0
(((((((x + 1) div ((2 + 2) + 1)) + x) * 2) + 1) * 2) div (2 + 1))
A047547-A014456: 0 2 3 4 7 8 10 11 12 15 16 18 19 20 23 24
((((((2 - x) * (2 + 1)) - 1) mod ((x div 2) + 1)) + 2) div (2 + 1))
A280737-A117118: 0 0 1 0 1 1 1 0 1 1 2 1 2 1 1 0
(((((((x div 2) mod 2) + 1) * x) * ((x div 2) + 1)) div 2) mod (2 + 1))
A114448: 0 0 1 0 0 1 0 1 2 1 0 0 0 0 1 0
((((((((x div 2) * x) div (2 + 1)) + 1) * x) + 1) * 2) div (2 + 1))
A122026: 0 1 2 4 8 14 28
((((x * 2) div (((((2 + 2) * 2) * 2) - x) + 1)) * 2) div (2 + 1))
A326528: 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6 10
(((((((2 + 1) * x) * (2 + 1)) + 2) * (x + 1)) + 2) * (2 + 1))
A304164: 12 72 186 354 576 852 1182 1566 2004 2496 3042 3642 4296 5004 5766 6582
((((x div ((2 + 2) * 2)) + ((2 + 2) * (x + 1))) * 2) div (2 + 1))
A284774: 2 5 8 10 13 16 18 21 24 27 30 32 35 38 40 43
((((((2 - x) + (2 + 2)) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A167541: 2 5 8 10 10 7 0 ~12 ~30 ~55 ~88 ~130 ~182 ~245 ~320 ~408
((((((x * x) * (x + 2)) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A004256: 0 3 32 150 480 1225 2688 5292 9600 16335 26400 40898 61152 88725 125440 173400
(x - ((((x + 1) div 2) div (2 + 1)) - (((x + 1) * 2) * (2 + 1))))
A187393: 6 13 20 27 34 40 47 54 61 68 75 81 88 95 102 109
((((x mod ((x div 2) + 1)) div 2) - x) + (((x + 1) * 2) * (2 + 1)))
A184487: 6 11 16 21 26 32 37 42 47 53 58 63 68 74 79 84
(((x div (((x mod 2) + 2) * 2)) + 1) + (((x + 1) div 2) div (2 + 1)))
A087504: 1 1 1 1 2 2 3 3 4 3 4 4 6 5 6 5
((2 - ((2 - x) div ((x div 2) + 2))) + (((x + 1) div 2) div (2 + 1)))
A082447: 1 2 2 3 3 4 4 4 4 5 5 6 6 6 6 6
(((((x - ((1 - (x * 2)) * 2)) * x) * (x + 1)) div 2) div (2 + 1))
A002413: 0 1 8 26 60 115 196 308 456 645 880 1166 1508 1911 2380 2920
(((((((2 + 2) * (x + 1)) + x) * x) * (x + 1)) div 2) div (2 + 1))
A162147: 0 3 14 38 80 145 238 364 528 735 990 1298 1664 2093 2590 3160
((((((((x + 2) * x) * 2) - 1) * x) * (x - 1)) div 2) div (2 + 1))
A330700: 0 0 5 29 94 230 475 875 1484 2364 3585 5225 7370 10114 13559 17815
((((((((x * 2) + 1) * x) + 2) * x) * (x - 1)) div 2) div (2 + 1))
A071246: 0 0 4 23 76 190 400 749 1288 2076 3180 4675 6644 9178 12376 16345
((0 - 1) mod (((((((x * x) - 1) * x) * x) - 1) div 2) div (2 + 1)))
A257051: 0 0 0 10 38 98 208 390 670 1078 1648 2418 3430 4730 6368 8398
(((((((x * x) - 1) * x) * x) * ((x * x) - 1)) div 2) div (2 + 1))
A179058: 0 0 6 96 600 2400 7350 18816 42336 86400 163350 290400 490776 794976 1242150 1881600
((((x * 2) * 2) * 2) - (x - (x div (((0 - 2) - 2) * (2 + 1)))))
A172330: 0 6 13 20 27 34 41 48 55 62 69 76 83 89 96 103
(((((2 + 2) div (((x - 1) mod (2 + 1)) + 1)) + 2) + 2) * (2 + 1))
A274339: 15 24 18 15 24 18 15 24 18 15 24 18 15 24 18 15
(((((((x * x) * (2 + 2)) * (2 + 1)) + 1) * 2) * 2) * (2 + 1))
A158546: 12 156 588 1308 2316 3612 5196 7068 9228 11676 14412 17436 20748 24348 28236 32412
(((x - (x div ((((x div 2) div (2 + 1)) + 1) * 2))) * 2) div (2 + 1))
A340203: 0 0 0 1 1 2 3 4 4 4 5 6 6 7 8 8
(((x mod (x - (((x + 1) mod ((2 + 2) + 1)) + 2))) + 2) div (2 + 1))
A275332: 0 0 0 0 0 1 0 1 0 1 1 2 2 2 1 1
(((x + 2) div ((((x - 1) mod ((2 + 2) + 1)) + 2) + 2)) mod (2 + 1))
A086967: 0 0 0 0 0 0 2 1 1 1 1 0 2 2 2 2
((x + 2) div (((((2 - x) + 2) mod ((2 + 1) * 2)) + 2) * (2 + 1)))
A037880-A037844: 0 0 0 0 1 0 0 0 0 1 2 0 0 1 1 1
((((((x div 2) + 2) * (x + 2)) * ((x + 1) div 2)) div 2) div (2 + 1))
A192225: 0 1 2 5
A006918: 0 1 2 5 8 14 20 30 40 55 70 91 112 140 168 204
((((2 - x) mod (((((2 + 1) * 2) + 1) * 2) * 2)) + 2) div (2 + 1))
A114054: 1 1 0 9 9 9 8 8 8 7 7 7 6 6 6 5
((((x + 1) mod (((x mod ((x div 2) + 1)) div 2) + 2)) + 2) div (2 + 1))
A227551: 1 0 1 0 1 0 1 1 0 1 1 0 1 2 0 1
((2 - ((((((2 - x) * x) * (x - 1)) div 2) div 2) div 2)) div (2 + 1))
A053618: 0 0 0 1 1 3 5 9 14 21 30 42 55 72 91 114
(((((x + 2) - (((x div 2) div (0 - 2)) div 2)) * 2) * 2) div (2 + 1))
A085492: 2 4 6 8 9 10 12 13 14 16 18 20 21 22 24 25
(((((((x mod ((2 + 2) + 1)) div 2) div 2) + 2) * 2) * 2) * (2 + 1))
A217140: 24 24 24 24 36 24 24 24 24 36 24 24 24 24 36 24
((((x + 2) div (((((x + 1) div 2) div 2) div 2) + 2)) * 2) div (2 + 1))
A131841: 0 0 1 1 2 2 2 2 2 2 2 2 2 3 3 2
(((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2) mod (2 + 1))
A106262: 1 0 1 0 2 1 0 1 2 1 0 2 0 2 1 0
((x div (((((x + 1) div (2 + 1)) mod (2 + 2)) + 2) + 2)) mod (2 + 1))
A175800: 0 0 0 0 0 0 1 1 1 1 1 2 0 0 2 0
(x - (((((x * 2) + 1) div (1 - ((2 + 2) * 2))) * 2) div (2 + 1)))
A137409-A037041: 1 2 3 4 6 7 8 9 10 11 12 14 15 16 18 19
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * 2) * (2 + 1)))
A070631: 0 1 32 3 16 5 0 7 32 9 16 11 0 13 32 15
(1 - ((((x + 2) mod (0 - ((x div (2 + 2)) + 2))) * 2) div (2 + 1)))
A214651: 1 2 1 2 1 3 2 1 3 2 1 3 2 1 4 3
((x * 2) - (((x div 2) - (((x div (2 + 2)) mod 2) * 2)) * (2 + 1)))
A057300: 0 2 1 3 8 10 9 11 4 6 5 7 12 14 13 15
(((x div (((2 - (((x div 2) * x) mod 2)) * 2) * 2)) * 2) * (2 + 1))
A173067: 0 0 0 0 0 0 0 6 6 6 6 12 6
(((((((x div 2) - ((x mod 2) * x)) div 2) * 2) * 2) * 2) + (2 + 1))
A134429: 3 ~5 3 ~5 11 ~13 11 ~13 19 ~21 19 ~21 27 ~29 27 ~29
((x - (((x mod (2 + 2)) - (((x * 2) * 2) * 2)) * 2)) + (2 + 1))
A161443: 3 18 33 48 71 86 101 116 139 154 169 184 207 222 237 252
((1 - ((((x * x) * 2) mod (((x div 2) + 2) + 2)) div 2)) mod (2 + 1))
A017857: 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2
((((((x + 2) * x) + 2) div (((x div 2) mod 2) + 2)) + 2) mod (2 + 1))
A287516: 0 1 2 1 0 2 0 2 1 1 0 2 0 1 2 0
(x - (((x + 2) * (x + 1)) div (1 - (((2 + 2) * 2) * (2 + 1)))))
A187102: 1 2 3 4 6 7 9 11
A056176: 1 2 3 4 6 7 9 11 12 14 16 18 20 23 25 27
(((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1)))))
A111133: 0 0 0 1 1 2 3 4 5 7 9 11 14 17 21 26
((x div 2) - (x - (((x - ((2 - x) div (2 + 2))) * 2) * (2 + 1))))
A184552: 0 5 11 22 28 33 39 50 56 61 67 78 84 89 95 106
(1 - ((((x div ((2 + 2) * 2)) + (x mod (2 + 2))) * 2) div (2 + 1)))
A180494: 1 1 0 ~1 1 1 0 ~1 1 0 ~1 ~1 1 0 ~1 ~1
(((2 + 1) * x) - (((x - ((x * x) div (2 + 2))) - 2) div (2 + 1)))
A182112: 1 4 7 10 13 16 20 24 28 32 36 40 45 50 55 60
(x - (1 - (((((((2 + 2) + 1) * x) + 2) * 2) * 2) * (2 + 1))))
A304839: 23 84 145 206 267 328 389 450 511 572 633 694 755 816 877 938
(((((x + 1) div (2 - (((x div 2) * x) mod 2))) div 2) div 2) mod (2 + 1))
A326695: 0 0 0 1 0 0 0 2 1 1 1 0 1 1 1 1
(((((((x * 2) * 2) * 2) * 2) div ((x + 2) + 2)) * 2) div (2 + 1))
A007600: 0 2 3 4 5 5 6 6 6 7 7 7 8 8 8 8
(((((x mod 2) - x) div (2 + 1)) + (((x + 2) + 2) * 2)) + (2 + 1))
A320427: 11 13 14 16 17 19 21 23 24 26 27 29 31 33 34 36
(1 - (x - (((((x + 2) * x) * ((x + 2) + 2)) * 2) div (2 + 1))))
A192023: 1 10 31 68 125 206 315 456 633 850 1111 1420 1781 2198 2675 3216
((x * 2) div (2 - ((((1 - x) div ((x mod 2) + 2)) * 2) div (2 + 1))))
A112754-A064515: 0 1 1 2 2 2 3 3 3 4 3 4 4 5 4 5
(1 - ((((x + 2) * x) + 1) mod ((((x mod 2) - 2) * 2) * (2 + 1))))
A129197: 12 3 4 3 12 1 12 3 4 3 12 1 12 3 4 3
((x - (x div (((0 - 2) - 2) * (2 + 1)))) + ((2 + 2) * (2 + 1)))
A043701-A043651: 12 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29
(((((x + 2) * x) + 1) * ((x mod 2) + 1)) mod ((2 + 2) * (2 + 1)))
A205185: 1 8 9 8 1 0 1 8 9 8 1 0 1 8 9 8
(((((2 + 2) * (2 + 1)) - 1) * x) + (x div ((2 + 2) * (2 + 1))))
A004920: 0 11 22 33 44 55 66 77 88 99 110 121 133 144 155 166
((((x div (((2 + 2) * (2 + 1)) - 1)) + x) * (2 + 2)) div (2 + 1))
A138083: 0 1 2 4 5 6
A277018-A277008: 0 1 2 4 5 6 8 9 10 12 13 16 17 18 20 21
((((((x * 2) - (x mod (2 + 2))) + 1) * x) div (2 + 2)) mod (2 + 1))
A160382: 0 0 1 0 0 0 1 0 1 1 2 1 0 0 1 0
((x * 2) - (((x mod (2 + 1)) - (2 - (x div (2 + 2)))) div (2 + 1)))
A189750: 1 3 4 7 8 10 13 14 16 18 20 22 24 26 27 30
(x - ((0 - ((((((x - 1) div 2) div 2) * x) div 2) div 2)) div (2 + 1)))
A236860-A236842: 0 1 2 3 4 6 7 8 9 11 12 13 14 16 18 19
((((((((x mod 2) + 2) * (x div 2)) div 2) + x) div 2) * 2) div (2 + 1))
A251631: 0 0 0 1 2 2 2 3 4 4 4 6 6 7 6 8
((2 - ((1 - x) div ((2 - (((x div 2) * x) mod 2)) * 2))) div (2 + 1))
A161091: 0 0 1 1 1 1 1 1 1 1 1 2 1 1 2 3
(((((x * x) * x) * ((x * 2) + 1)) mod ((x + 2) + 2)) mod (2 + 1))
A276204: 0 0 1 0 0 1 2 2 1 0 0 1 0 0 1 2
((((((((x + 2) + 2) + 2) + 1) * x) * (x + 2)) div 2) div (2 + 1))
A000297: 0 4 12 25 44 70 104 147 200 264 340 429 532 650 784 935
(((x + 1) * 2) - (((((x - 1) * x) div (x + 2)) * 2) div (2 + 1)))
A184012-A080037: 2 4 6 8 9 11 12 14 15 16 18 19 20 22 23 24
((((((x div (2 + 1)) mod (2 + 1)) mod 2) + (x * 2)) * 2) div (2 + 1))
A153343: 0 1 2 4 6 7 8 9 10 12 13 14 16 18 19 20
(((x + 1) div 2) - (((x div 2) div (2 - ((x div 2) mod 2))) div (2 + 1)))
A048621: 0 1 1 2 2 3 2 3 4 5 4 5 5 6 5 6
(((((x mod ((((x mod 2) + 2) + 2) + 1)) + 1) * x) div 2) mod (2 + 1))
A105964: 0 1 0 0 1 0 0 1 1 0 2 0 0 1 2 0
((((((((x * x) * (2 + 2)) * 2) * 2) - 1) * x) * 2) div (2 + 1))
A267031: 0 10 84 286 680 1330 2300 3654 5456 7770 10660 14190 18424 23426 29260 35990
(((((((((2 + 1) * x) + 2) * x) * x) + 1) * x) div 2) div (2 + 1))
A212560: 0 1 11 50 150 355 721 1316 2220 3525 5335 7766 10946 15015 20125 26440
(((((((((2 + 1) * x) - 2) * x) * x) - 1) * x) div 2) div (2 + 1))
A212523: 0 0 5 31 106 270 575 1085 1876 3036 4665 6875 9790 13546 18291 24185
(x - (((x - 2) * x) - (((((x * x) - 1) * x) div 2) div (2 + 1))))
A060163: 0 2 3 4 6 10 17 28 44 66 95 132 178 234 301 380
(((((((x * x) * (x * x)) * (x * x)) - 1) * x) div 2) div (2 + 1))
A108495: 0 0 21 364 2730 13020 46655 137256 349524 797160 1666665 3247860 5971966 10458084 17568915 28476560
(((((((x div (2 + 2)) + 2) * (x + 1)) div 2) * x) * 2) mod (2 + 1))
A117896: 0 1 0 0 2 0 0 0 0 0 2 0 0 1 1 0
((((((((x * x) - 1) * (x - 2)) div 2) + 2) * x) div 2) + (2 + 1))
A289121: 3 4 5 12 37 98 219 430 767 1272 1993 2984 4305 6022 8207 10938
((x mod 2) - (((((x div (2 + 1)) * (x - 2)) * x) div 2) mod (2 + 1)))
A030201: 0 1 0 0 ~1 0 0 ~1 0 0 0 0 0 0 0 0
((((((x + 1) * x) div 2) + ((2 + 1) * 2)) * (x + 2)) div (2 + 1))
A188554: 4 7 12 20 32 49 72 102 140 187 244 312 392 485 592 714
((((x - ((2 - x) div (2 + 2))) div 2) * 2) + ((x + 2) * (2 + 1)))
A095098: 6 9 14 19 22 27 30 35 40 43 48 53 56 61 64 69
(((1 - ((x * x) div 2)) div ((x * 2) + 1)) + ((x * 2) * (2 + 1)))
A315541: 1 6 11 17 23 29 34 40 46 51 57 63 69 74 80 86
((((x * 2) * 2) div (1 - ((2 + 2) * 2))) + ((x * 2) * (2 + 1)))
A276853: 0 5 10 16 21 27 32 38 43 48 54 59 65 70 76 81
(((x div 2) - (x div (((x mod 2) + 2) + 2))) + ((x * 2) * (2 + 1)))
A075727: 0 6 13 19 25 31 38 44 50 57 63 69 75 82 88 94
((((x div ((2 + 2) * 2)) + x) div (2 + 2)) + ((x * 2) * (2 + 1)))
A038130: 0 6 12 18 25 31 37 43 50 56 62 69 75 81 87 94
(((((x div 2) div ((2 + 2) + 1)) - x) div 2) + ((x * 2) * (2 + 1)))
A172327: 0 5 11 16 22 27 33 38 44 49 55 61 66 72 77 83
(((2 - (x * x)) div (((2 + 1) * x) + 2)) + ((x * 2) * (2 + 1)))
A315537: 1 6 11 17 23 28 34 39 45 51 56 62 68 73 79 85
(((2 - x) div ((x div ((2 + 2) + 1)) + 2)) + ((x * 2) div (2 + 1)))
A025795: 1 0 1 1 1 2 2 2 3 3 4 4 5 5 6 7
((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) + ((x div 2) div (2 + 1)))
A034153: 0 0 0 0 0 0 1 1 2 3 4 5 7 8 9 10
((((x * 2) div (((x div 2) + 2) + 2)) + x) + ((x div 2) div (2 + 1)))
A138083: 0 1 2 4 5 6
A035500: 0 1 2 4 5 6 8 10 11 12 13 14 16 17 18 19
(1 - (((((x + 2) * x) div ((2 + 2) + 1)) + (x mod 2)) mod (2 + 1)))
A089510: 1 0 0 0 0 ~1 1 0 0 ~1 1 ~1 1 0 ~1 0
((((((x - 2) * 2) * (x - 1)) div (2 + 1)) + (x mod 2)) div (2 + 1))
A140402: 0 0 0 0 1 3 4 7 9 12 16 20 24 29 34 40
(((((((x * x) * x) * ((2 + 2) + 1)) + x) * x) div 2) div (2 + 1))
A008354: 0 1 14 69 216 525 1086 2009 3424 5481 8350 12221 17304 23829 32046 42225
((((x + 2) * 2) + (x mod 2)) - ((((1 - x) * x) div 2) div (2 + 1)))
A266936: 4 7 9 12 14 19 21 26 30 35 39 46 50 57 63 70
((((x - 2) * x) * 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A026057: 0 ~2 1 10 26 50 83 126 180 246 325 418 526 650 791 950
(((x div (((2 - x) mod (((2 + 1) * 2) + 1)) + 1)) + x) mod (2 + 1))
A061264: 0 1 1 0 1 0 1 0 0 0 2 0 2 1 0 1
(x - ((((((1 - x) * x) * ((2 + 2) + 1)) - 1) * x) * (2 + 1)))
A272134: 0 4 68 282 736 1520 2724 4438 6752 9756 13540 18194 23808 30472 38276 47310
(compr(\x.((((x - 1) * x) mod ((x div (2 + 2)) + 1)) - 1),x) + (2 + 1))
A154660: 3 4 5 6 7 8
A026452: 3 4 5 6 7 8 9 10 12 13 15 16 19 21 24 25
((((x div ((x div ((2 + 2) * (2 + 1))) + 2)) + 1) * x) mod (2 + 1))
A227839: 0 1 1 0 0 0 0 1 1 0 0 0 0 2 1 0
(2 - ((((((x mod 2) + x) - 1) mod ((2 + 2) + 1)) + x) mod (2 + 1)))
A143667: 1 0 2 2 1 0 2 2 1 1 0 2 1 1 0 2
((((x mod (((2 + 2) + 1) * 2)) * ((2 + 2) + 1)) + x) div (2 + 1))
A263042: 0 2 4 6 8 10 12 14 16 18 3 5 7 9 11 13
(((((x * 2) - (x mod (2 + 2))) div ((2 + 2) + 1)) + x) + (2 + 1))
A298007: 3 4 5 6 8 9 11 12 14 15 16 17 19 21 22 23
(((x + 1) * 2) - ((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1)))
A286991: 2 5 7 9 11 14 16 18 20 23 26 28 30 32 35 37
((((((x * x) - (x mod (2 + 2))) * 2) div (2 + 1)) + x) * (2 + 1))
A161214: 0 3 9 21 42 63 84
((((((((x div 2) mod 2) + x) div 2) * 2) div (2 + 1)) + x) + (2 + 1))
A179779: 3 4 5 7 8 9 11 12 13 14 16 18 19 20 21 23
((((((((x - 1) * x) div 2) - x) * x) div (2 + 1)) + x) div (2 + 1))
A061866: 0 0 0 1 2 4 8 13 20 30 42 57 76 98 124 155
(((x + 2) + 2) - (((1 - x) * 2) div (2 - ((1 - x) div (2 + 1)))))
A096849-A093373: 3 5 7 9 10 11 13 14 15 17 18 19 20 21 22 23
(((((x - ((1 - (x * 2)) * (2 + 1))) * x) - 1) * x) div (2 + 1))
A214659: 0 1 14 53 132 265 466 749 1128 1617 2230 2981 3884 4953 6202 7645
(1 - ((((x + 1) * x) div (2 + 2)) - (((x + 1) * x) * (2 + 1))))
A301709: 1 7 18 34 56 84 117 155 199 249 304 364 430 502 579 661
((((x - ((((1 - x) * x) div 2) div (2 + 1))) * 2) + x) + (2 + 1))
A200182: 3 6 11 14 19 26 31 38 47 54 63 74 83 94 107 118
((((((x * x) div (2 + 2)) div ((x + 2) + 1)) mod 2) + x) mod (2 + 1))
A059835: 0 1 2 0 1 2 1 2 0 1 2 2 0 1 2 1
((((x - (((x div 2) * (x - 2)) div (x + 1))) div 2) + x) + (2 + 1))
A183860: 3 4 6 7 9 10 11 13 14 15 16 18 19 20 21 23
(((((x div 2) - ((x div (2 + 2)) div (0 - 2))) * 2) + x) + (2 + 1))
A284491: 3 4 7 8 13 14 17 18 21 22 25 26 31 32 35 36
((((x mod (((x div 2) div ((2 + 2) + 1)) + 2)) + 2) + x) div (2 + 1))
A076695: 0 1 1 2 2 2 2 3 3 4 4 5 4 5 6 5
((((x mod (((1 - x) div ((2 + 2) + 1)) - 2)) div 2) + x) mod (2 + 1))
A337086: 0 0 1 0 0 1 0 0 2 1 0 1 1 0 1 0
(((x div ((((x div ((2 + 2) + 1)) mod 2) + 2) + 2)) + x) + (2 + 1))
A025020: 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 21
(compr(\x.((x mod (x - ((x + 1) mod ((2 + 2) * 2)))) mod 2),x) + (2 + 1))
A154660: 3 4 5 6 7 8
A114036: 3 4 5 6 7 8 9 10 12 14 16 17 18 20 22 24
((x - (((x - 2) * x) div ((((2 + 2) * 2) * 2) + x))) + (2 + 1))
A331859: 3 5 5 6 7 8 8 9 9 10 10 11 11 12 12 12
(((x + 2) + 2) - ((((x + 1) mod ((2 + 2) * 2)) - x) div (2 + 1)))
A214420: 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 24
(((((x * 2) div ((x div 2) + 1)) + (x div (2 + 2))) + x) + (2 + 1))
A288938: 3 6 7 9 10 12 13 14 16 17 18 19 21 22 23 24
(((((x - (((1 - x) * 2) * (2 + 1))) * x) + 2) * x) div (2 + 1))
A051673: 0 1 12 47 120 245 436 707 1072 1545 2140 2871 3752 4797 6020 7435
(((x + 1) * (2 + 1)) - (((((x div 2) * x) mod 2) - x) div (2 + 1)))
A297466: 3 7 10 13 17 20 23 26 30 33 37 40 43 47 50 53
((((((x * 2) * (2 + 1)) * (2 + 1)) div (x + 2)) + x) div (2 + 1))
A202306: 0 2 3 4 5 5 6 7 7 7 8 8 9 9 9 10
(((x + 2) - (x div (((2 - x) div (2 + 1)) - 1))) + (x div (2 + 1)))
A186354: 2 4 6 8 9 11 12 14 15 17 18 19 21 22 23 25
((((((x div (2 + 2)) mod 2) + x) div (2 + 2)) + 1) + (x div (2 + 1)))
A166493: 1 1 1 2 3 3 4 5 5 6 6 6 8 8 8 10
((x - (((1 - (x * x)) div ((x + 2) + 2)) - 1)) - (x div (2 + 1)))
A189404: 1 2 4 5 6 8 9 11 13 14 16 17 18 20 22 23
((x - ((((x - 1) div (2 + 1)) - 1) div (2 + 1))) - (x div (2 + 1)))
A156250: 1 2 3 3 3 4 4 5 6 6 7 8 8 8 9 9
compr(\x.((x + 1) mod ((((x * x) div 2) mod (x + 2)) + 1)),(x div (2 + 1)))
A035643: 0 0 0 1 1 1 2 2 2 5 5 5 8 8 8 14
(((((x * x) * 2) mod (((x + 1) div 2) + 1)) mod 2) * (x div (2 + 1)))
A230819: 0 0 0 0 0 0 0 2 2 0 0 0 4 0 0 0
((((x * x) mod (((x * 2) div (2 + 1)) + 2)) div 2) + (x div (2 + 1)))
A035658: 0 0 0 1 1 1 2 2 2 3 5 5 6 8 8 9
((((((x + 2) * 2) + x) * x) div ((2 + 2) * 2)) - (x div (2 + 1)))
A266813: 0 0 2 3 7 10 14 19 26 31 39 47 56 65 76 86
(((((((x + 1) * x) div 2) + 1) div 2) + (x * 2)) + (x div (2 + 1)))
A253620: 0 3 6 10 14 19 25 30 36
((((x div 2) div (((2 + 1) * 2) + 1)) + (x div 2)) - (x div (2 + 1)))
A325590: 0 0 1 0 1 1 1 1 2 1 2 2 2 2 4 3
((((x * 2) - (x mod (((2 + 2) * 2) + 1))) * 2) - (x mod (2 + 1)))
A039592-A037454: 0 1 2 6 7 8 12 13 14 36 37 38 42 43 44 48
((((((x * x) * x) div (((x * 2) + 1) * 2)) * x) + x) mod (2 + 1))
A284557: 0 1 2 0 1 0 0 0 2 0 0 1 0 2 0 0
(((((((((x + 2) * x) div 2) + 1) * (2 + 1)) + 1) * x) div 2) + 1)
A178947: 1 4 17 38 81 138 229 340 497 680 921 1194 1537 1918 2381 2888
((((((x mod ((0 - 2) - 2)) mod ((x * 2) + 1)) + 1) + x) div 2) + 1)
A026218-A026200: 1 2 4 6 3 8 10 12 5 14 16 18 7 20 22 24
((((((((x div 2) * x) + 1) * ((x div 2) + 1)) + 1) * x) div 2) + 1)
A054981: 1 2 8 14 57
(x - ((((((x + 1) * 2) div (((2 + 1) * 2) + 1)) - x) * 2) - 1))
A188376: 1 4 7 8 11 14 15 18 21 24 25 28 31 32 35 38
((((((x * x) - (x div 2)) div (((2 + 1) * 2) + 1)) + x) * 2) + 1)
A342474: 1 3 5 9 13 17
A123509: 1 3 5 9 13 17 21 27 33 41 47 55
(((((((x + 2) * x) * 2) * (((x + 1) * 2) + 1)) + x) * 2) + 1)
A083079: 1 63 229 547 1065 1831 2893 4299 6097 8335 11061 14323 18169 22647 27805 33691
((((((((x mod 2) + x) * 2) + 1) div ((2 + 2) + 1)) + x) * 2) + 1)
A086398: 1 5 7 9 11 15 17 21 23 27 29 33 35 37 39 43
((((x div (2 - (x div (((2 - x) div (2 + 2)) - 1)))) + x) * 2) + 1)
A247424: 1 3 5 7 11 13 15 17 19 21 23 27 29 31 33 37
((((x - ((1 - ((2 + 2) * (x + 1))) * (2 + 1))) * x) div 2) + 1)
A342914: 1 12 36 73 123 186 262 351 453 568 696 837 991 1158 1338 1531
(((((x * x) div (((((2 + 2) * 2) * 2) + x) + 1)) + x) * 2) + 1)
A306069: 1 3 5 7 9 13 15 19 21 25 27 31 33 37 41 45
(((((x + 2) * (x + 2)) * (x + 2)) - (((x + 1) * x) div 2)) - 1)
A162264: 7 25 60 118 205 327 490 700 963 1285 1672 2130 2665 3283 3990 4792
((((((((x * 2) * 2) mod ((x div 2) + 1)) + 1) div 2) + x) div 2) + 1)
A076897-A076502: 1 1 2 2 3 4 4 4 5 6 7 7 8 8 8 9
((((((x - (x div ((0 - 2) - 1))) div (2 + 1)) * 2) + x) * 2) + 1)
A190238: 1 3 9 11 17 19 21 27 29 35 37 43 45 51 53 55
(((((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2) + x) * 2) + 1)
A327755-A322903: 1 3 5 7 9 11 13 17 19 21 23 25 27 29 31 37
((((((((x - 1) div 2) * (x div 2)) div (2 + 1)) * 2) + x) * 2) + 1)
A289873: 1 3 5 7 9 15 21 27 33 39 45 55 65 75 85 95
(x - (((((x div (((x div 2) div (2 + 1)) + 2)) mod 2) - x) div 2) - 1))
A184419: 1 3 4 5 7 9 10 12 13 14 16 17 19 20 22 23
((((((x + 2) * x) div (((x mod (2 + 1)) div 2) + 2)) + x) div 2) + 1)
A097108: 1 2 3 6 9 9 16 20 18 30 36 30 49 56 45 72
((((((((x - 2) * (x - 2)) * (x + 1)) div 2) + 2) * x) div 2) + 1)
A094697: 1 2 3 7 25 73
((((x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)) * x) * 2) + 1)
A158666: 1 59 233 523 929 1451 2089 2843 3713 4699 5801 7019 8353 9803 11369 13051
(((((((x div 2) + x) * x) div (((2 + 2) * 2) * 2)) + x) div 2) + 1)
A125573: 1 1 2 2 3 4 5 6 8 9 10 12 13 15 17 18
(((((((x div (2 + 2)) * (x div (2 + 2))) div 2) * 2) + x) * 2) + 1)
A033034: 1 3 5 7 9 11 13 15 25 27 29 31 41 43 45 47
(((x * 2) - ((((x * x) + 1) div (((2 + 2) * 2) + x)) div 2)) + 1)
A208672: 1 3 5 7 9 10 12 14 15 17 19 20 22 23 25 27
(((((x mod 2) * x) - (x div 2)) mod ((((2 + 2) * 2) + x) + 2)) + 1)
A302389: 1 2 12 3 13 4 14 5 15 6 16 7 17 8 18 9
(((((((x mod ((x mod 2) + 2)) div 2) * x) div (2 + 2)) * x) div 2) + 1)
A326697: 1 1 1 1 1 3 1 1 1 1 1 12 1 1 1 1
(((2 + 2) * (x + 1)) - (x mod ((((x div (2 + 2)) + x) div 2) + 1)))
A305848: 4 8 12 15 19 23 26 30 34 37 41 44 48 52 55 59
((x * 2) - ((((x + 2) * x) div ((x * 2) - ((2 - x) div 2))) - 1))
A026277: 1 2 3 5 7 9 10 12 13 15 16 18 20 21 23 25
((((((((((x * 2) + 1) * 2) * 2) + 1) * x) + 2) * x) * 2) + 1)
A272130: 1 31 177 535 1201 2271 3841 6007 8865 12511 17041 22551 29137 36895 45921 56311
((((((x + 2) * x) div 2) * 2) + 1) * ((((x + 2) * x) div 2) + 1))
A204558: 1 6 45 120 325 630 1225 2016 3321 4950 7381 10296 14365 19110 25425 32640
(((((x div (((2 - (x mod 2)) + 2) + 2)) + (x div 2)) + x) * 2) + 1)
A284894: 1 3 7 9 13 17 21 23 27 29 33 37 41 43 47 51
((x + 1) mod ((((x * x) * 2) + 1) div ((((x div 2) + x) * 2) + 1)))
A065864: 0 0 0 0 1 0 1 0 4 4 5 5 6 6 6 6
(((((((x * x) - 1) * x) * ((x + 2) + 1)) + 1) * (x + 2)) - 1)
A230586: 1 2 123 724 2525 6726 15127 30248 55449 95050 154451 240252 360373 524174 742575 1028176
(((((x mod ((((2 + 2) * 2) * 2) - 1)) * 2) + 1) * (x + 2)) + 1)
A281153: 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 18
(compr(\x.(x mod (((((x * x) div 2) mod (2 + 1)) * 2) + 1)),(x + 2)) + 1)
A151757: 4 6 7 8 10 11 12 13 14 16 18 19 20 21 22 24
(compr(\x.((((x * 2) + 1) mod ((x div (2 + 2)) + 1)) - 2),(x + 2)) - 1)
A178538: 1 2 3 4 5 6 7 8 9 10 11 13 16 17 20 23
(((x * 2) - (((((x * x) div (2 + 1)) - x) * 2) div (x + 2))) + 1)
A231407: 1 4 6
A183870: 1 4 6 7 9 11 12 13 15 16 18 19 20 22 23 24
compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1))
A340268-A340058-A140347-A051035-A002808: 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26
((((1 - ((x mod 2) * 2)) * (x + 2)) * (x + 1)) * ((x + 2) + 1))
A331433: 6 ~24 60 ~120 210 ~336 504 ~720 990 ~1320 1716 ~2184 2730 ~3360 4080 ~4896
(((2 + 1) * x) div (2 - (((1 - (x * 2)) * 2) div ((x + 2) + 1))))
A120565: 0 1 1 2 3 3 3 4 4 5 6 6 6 6 7 7
(((((x + 2) + 2) * (x + 2)) + ((x mod 2) + 2)) * ((x + 2) + 1))
A308137: 30 72 130 228 350 528 738 1020 1342 1752 2210 2772 3390 4128 4930 5868
((((((x div (2 + 1)) mod (2 + 1)) + x) * x) div 2) div ((x + 2) + 1))
A255070: 0 0 0 1 1 1 2 3 3 3 3 4 5 5 6 7
(((((((x + 2) * x) * (x + 1)) div (2 + 1)) + x) * (x + 2)) + 1)
A178073: 1 10 41 116 265 526 945 1576 2481 3730 5401 7580 10361 13846 18145 23376
((((((x div 2) + 1) * x) div (((2 + 1) * 2) + 1)) + (x * 2)) + 1)
A079511: 1 3 5 7 10 13 16 19 22 25 29 32 37
(((((((x - 1) * x) div (x + 2)) * 2) div (2 + 1)) + (x * 2)) + 1)
A057640: 1 3 5 7 10 12 15 17 20 23 25 28 31 33 36 39
((((x div ((((2 - x) div 2) mod (2 + 2)) + 1)) mod 2) + (x * 2)) + 1)
A013951: 1 4 5 7 10 12 13 16 17 20 21 23 26 27 29 32
(((((x - (x div (0 - 2))) div ((2 + 2) + 1)) mod 2) + (x * 2)) + 1)
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A206909: 1 3 5 8 10 12 14 15 17 19 22 24 26 27 29 31
(((((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) mod 2) + (x * 2)) + 1)
A285307: 1 4 5 7 9 12 13 16 17 19 22 23 25 28 29 31
(((((x + 2) * (x + 1)) div (((2 + 2) * 2) * 2)) + (x * 2)) + 1)
A097911: 1 3 5 8
A186150: 1 3 5 8 10 13 16 19 22 25 29 32 36 40 44 48
((((((x mod ((2 + 2) + 1)) + (x div 2)) div 2) div 2) + (x * 2)) + 1)
A097911: 1 3 5 8
A189377: 1 3 5 8 10 11 14 16 18 21 22 24 27 29 31 32
(((((((x - 1) * x) - 1) mod ((x div 2) + 2)) mod 2) + (x * 2)) + 1)
A286047: 2 4 6 7 10 12 13 16 18 20 22 23 26 28 30 31
(((((((x - 2) * x) * ((x - 2) * x)) div 2) div 2) + (x * 2)) + 1)
A306838: 1 3 5 9 25 67
(((((((x * x) div 2) div ((2 + 2) + 1)) + x) div 2) + (x * 2)) + 1)
A265899: 1 3 6 8 11 14 17 20 24 27 31 34 38 41 45 49
(((x - (((((x div 2) - 2) div (2 + 1)) - x) div 2)) + (x * 2)) + 1)
A184579: 2 5 9 12 15 19 22 26 29 33 36 39 43 46 50 53
((((((x mod (((x div 2) mod 2) + 2)) mod 2) + x) div 2) + (x * 2)) + 1)
A231407: 1 4 6
A075325: 1 4 6 8 11 14 16 19 21 24 26 28 31 34 36 38
(((((((x * 2) * 2) - (x div 2)) + 1) * (x div 2)) + (x * 2)) + 1)
A318165: 1 3 13
A211438: 1 3 13 19 39 49 79 93 133 151 201 223 283 309 379 409
(((((x * 2) * (x + 1)) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A160674: 1 63 305 847 1809 3311 5473 8415 12257 17119 23121 30383 39025 49167 60929 74431
((((((x + 1) * x) div 2) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A063495: 1 18 80 217 459 836 1378 2115 3077 4294 5796 7613 9775 12312 15254 18631
((((((x * 2) * 2) * (x + 1)) * (2 + 1)) + 1) * ((x * 2) + 1))
A193252: 1 75 365 1015 2169 3971 6565 10095 14705 20539 27741 36455 46825 58995 73109 89311
(((((((x * 2) * 2) * 2) * 2) * (x + 1)) + 1) * ((x * 2) + 1))
A322830: 1 99 485 1351 2889 5291 8749 13455 19601 27379 36981 48599 62425 78651 97469 119071
((((((x mod 2) * x) + 2) * (x + 2)) mod (2 + 1)) + ((x * 2) + 1))
A201363: 2 3 7
A327224: 2 3 7 8 9 12 14 15 19 20 21 24 26 27 31 32
(((((x + 2) * x) + 1) * (((x * x) * 2) + 1)) div ((x * 2) + 1))
A227012: 1 4 16 43 91 166 275 422 614 857 1158 1521 1953 2460 3049 3724
((((((2 + 1) * x) * (2 + 1)) + 1) * (x + 1)) * ((x * 2) + 1))
A100148: 1 60 285 784 1665 3036 5005 7680 11169 15580 21021 27600 35425 44604 55245 67456
(((((x * x) * (1 - x)) mod ((2 + 2) + 1)) + x) + ((x * 2) + 1))
A190679: 1 4 8 12 15 16 19 23 27 30 31 34 38 42 45 46
(((((x - ((x mod (2 + 1)) div 2)) div 2) div 2) + x) + ((x * 2) + 1))
A191402: 1 4 7 10 14 17 20 23 26 30 33 36 40 43 46 49
(((((x - ((2 - (x div 2)) div 2)) div 2) div 2) + x) + ((x * 2) + 1))
A080600: 0 4 7 10 14 17 20 24 27 30 34 37 40 43 47 50
(((((((x + 1) * 2) + 1) * (x + 2)) + 1) * x) * ((x * 2) - 1))
A215687: 0 16 174 690 1876 4140 7986 14014 22920 35496 52630 75306 104604 141700 187866 244470
((((((x mod 2) * (2 + 1)) + x) * ((2 + 2) + 1)) + (x div 2)) + 1)
A166033: 1 21 12 32 23 43 34 54 45 65 56 76 67 87 78 98
(((((((x + 2) * x) * 2) * (x + 1)) div (2 + 1)) + (x div 2)) + 1)
A056640: 1 5 18 42 83 143 228 340 485 665 886 1150 1463 1827 2248 2728
(x - (((1 - (x * 2)) div (((2 + 2) * (2 + 1)) - (x div 2))) - 1))
A256421: 1 3 4 5 6 7 9 10 11 13 14 15 17 19 21 22
((((x div ((((x div 2) div (2 + 1)) + 2) + 1)) mod 2) + (x div 2)) + 1)
A070546: 1 1 2 3 4 4 5 5 5 5 6 6 7 7 8 9
(((((((x + 2) * x) + ((x div 2) mod 2)) div 2) * 2) + (x div 2)) + 1)
A188545: 1 3 10
A171834: 1 3 10 18 27 37 52 68 85 103 126 150 175 201 232 264
((((((x + 2) mod (((x div 2) mod 2) + 2)) + x) div 2) + (x div 2)) + 1)
A100708: 1 2 3 4 5 6 8 7 9 10 11 12 13 14 15 16
(((2 mod ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1) mod ((x div 2) + 1))
A155828: 0 0 1 1 1 1 1 3 1 1 1 3 1 1 3 3
((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 1)) mod ((x div 2) + 1))
A244329: 0 0 0 0 1 0 2 1 2 2 4 1 5 3 4 3
(((((((x + 1) * x) mod (2 + 1)) * 2) * 2) + 1) mod ((x div 2) + 1))
A285770: 0 0 1 1 0 1 1 1 1 1 3 1 1 2 1 1
(((x - 2) - (1 - ((x div 2) mod ((2 + 2) + 1)))) mod ((x div 2) + 1))
A230431-A082853: 0 0 0 1 0 1 2 3 4 0 1 2 3 4 5 6
((((x div 2) mod ((2 + 2) + 1)) - (x div (2 + 1))) mod ((x div 2) + 1))
A187498: 0 0 1 0 1 1 1 1 2 1 3 3 4 4 6 5
(((((x + 1) div 2) * (x + 1)) * ((x div 2) + 1)) * ((x div 2) + 1))
A212761: 0 2 12 32 90 162 336 512 900 1250 1980 2592 3822 4802 6720 8192
(((((((2 + 2) + 1) * 2) * 2) - (x mod 2)) + 1) * ((x div 2) + 1))
A195033: 21 20 42 40 63 60 84 80 105 100 126 120 147 140 168 160
((((((2 + 1) * 2) + 1) * (2 - (x mod 2))) + 1) * ((x div 2) + 1))
A195035: 15 8 30 16 45 24 60 32 75 40 90 48 105 56 120 64
((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + 2) mod ((x div 2) + 1))
A089881: 0 0 0 0 2 2 3 3 3 3 3 3 5 5 5 5
(1 - ((2 - ((x div ((x mod (2 + 1)) + 2)) mod 2)) mod ((x div 2) + 1)))
A016362: 1 1 1 0 0 0 0 ~1 ~1 ~1 0 ~1 ~1 ~1 0 0
((((2 + 2) * 2) * (2 + 1)) div (((2 + 2) * 2) div ((x div 2) + 1)))
A280510: 3 3 6 6 12 12 12 12 24 24 24 24 24 24 24 24
(((((x mod ((x div (2 + 2)) + 1)) div 2) + x) + 2) mod ((x div 2) + 1))
A333750-A276771-A088432-A072670: 0 0 0 1 0 1 0 1 1 1 0 2 0 1 1 2
(((((x * 2) div ((x div (2 + 1)) + 2)) mod 2) + x) + ((x div 2) + 1))
A187691: 1 3 4 5 7 9 11 12 13 15 16 17 19 20 22 23
((((x + 1) div ((((2 - (x mod 2)) + 1) * 2) + 1)) + (x mod 2)) + 1)
A338718: 1 2 1 2 1 3 2 3 2 4 2 4 2 4 3 5
((((x - (((x div (2 + 2)) - x) * 2)) * (2 + 1)) + (x mod 2)) + 1)
A057538: 1 11 19 29 31 41 49 59 61 71 79 89 91 101 109 119
((((((x mod (2 + 1)) div 2) - (x mod 2)) * (2 + 1)) - (x mod 2)) + 1)
A078070: 1 ~3 4 ~3 1 0 1 ~3 4 ~3 1 0 1 ~3 4 ~3
(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + 1)
A023416: 1 0 1 0 2 1 1 0 3 2 2 1 2 1 1 0
((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) - (x mod 2)) + 1)
A325392: 1 0 1 0 1 1 1 0 1 1 1 1 1 1 2 0
(x - ((((x - (((x + 1) div 2) div (2 + 1))) mod 2) - (x mod 2)) - 1))
A120750: 1 2 3 4 5 7 6 9 8 11 10 12 13 14 15 16
((((((x - 2) div ((x mod (2 + 1)) + 1)) mod 2) * 2) - (x mod 2)) - 1)
A175816: ~1 0 ~1 0 1 0 ~1 ~2 ~1 0 ~1 0 ~1 0 ~1 0
(((((x div (2 + 2)) - ((x mod (2 + 1)) div 2)) div 2) - (x mod 2)) + 1)
A029354: 1 0 0 0 1 0 1 0 1 1 2 0 2 1 2 1
(((x div ((x div (((x mod (2 + 1)) div 2) + 2)) + 2)) + (x mod 2)) + 1)
A306312: 1 2 2 3 2 3 2 3 3 3 2 4 2 3 3 3
((((x div (((x mod ((x mod 2) + 2)) div 2) + 2)) * 2) - (x mod 2)) + 1)
A133945: 1 0 3 2 5 2 7 6 9 8 11 6 13 12 15 14
((((((x * x) mod (((2 + 1) * x) + 2)) div 2) mod 2) - (x mod 2)) + 1)
A286627: 1 0 1 0 2 0 1 1 1 1 1 0 2 0 1 0
(((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) * ((2 - (x mod 2)) + 1))
A063958: 0 0 0 2 0 0 0 2 3 0 0 2 0 0 0 2
(((((((x div (2 + 2)) * (2 + 1)) div 2) + x) * 2) + (x mod 2)) + 1)
A285566: 1 4 5 8 11 14 15 18 23 26 27 30 33 36 37 40
((((x - 1) div (((x div 2) div (2 + 1)) + 1)) mod 2) * ((x mod 2) + 1))
A330460: 1 0 1 0 1 0 0 2 1 0 0 2 1 0 0 0
(x div (((x div (((x mod (2 + 1)) div 2) + 2)) + 2) * ((x mod 2) + 1)))
A340832: 0 0 1 0 1 0 1 0 2 0 1 1 1 0 2 0
((((((x + 2) * x) * (x + 1)) div (2 + 1)) + x) + ((x mod 2) + 1))
A167238: 1 5 11 25 45 77 119 177 249 341 451 585 741 925 1135 1377
(((((((x * x) * (x * x)) div 2) div (2 + 1)) + (x * x)) div 2) + 1)
A274250: 1 1 4 12 30 65 127 225 374 588 884 1281 1801 2465 3300 4332
((((((((x mod 2) * x) * (x * x)) + 1) * x) * (x * x)) div 2) + 1)
A035128: 1 2 5 379
(((2 + 2) + 1) mod (2 - ((((2 + 2) * 2) * 2) mod ((0 - x) - 1))))
A205109: 1 1 1 1 5 1 5 1 1 5 5 5 5 5 5 1
(compr(\x.((x mod ((((x mod 2) * 2) * ((2 + 2) + 1)) + 1)) - 1),x) + 1)
A069149: 1 2 3 5 7 9 11 12 13 15 17 19 21 23 24 25
(compr(\x.(((x div 2) mod ((((x mod 2) * 2) * (2 + 1)) + 1)) - 1),x) + 1)
A339968: 1 2 3 4 5 7 9 11 13 15 16 17 18 19 21 23
(compr(\x.(((x * 2) mod (((((x div 2) + 1) div 2) * 2) - 1)) - 1),x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A331802: 1 2 3 4 5 6 7 9 10 11 14 15 19 23
(compr(\x.((x + 1) mod ((x div ((((x div 2) mod 2) + 2) + 1)) + 1)),x) + 1)
A064438: 1 2 3 4 6 8 9 12 16 18 20 21 24 28 30 32
(((((x + 1) * 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) + x) + 1)
A161351: 3 6 9 12 15 18 21 24 27 11 14 17 20 23 26 29
(((((x + 2) * (x + 1)) div (((2 + 2) * (2 + 1)) + 1)) + x) + 1)
A280724-A023543: 1 2 3 5 7 9 11 13 15 18 21 24 27 30 33 36
((((x + 2) - ((x + 1) mod (((2 + 2) * (2 + 1)) + 1))) * x) + 1)
A044914: 1 2 3 4 5 6 7 8 9 10 11 12 169 183 197 211
((((x + 2) - ((x + 1) mod (((2 + 2) * (2 + 1)) - 1))) * x) + 1)
A044912: 1 2 3 4 5 6 7 8 9 10 121 133 145 157 169 181
(((x mod ((((((x div 2) mod 2) * 2) + x) div (2 + 1)) + 1)) + x) + 1)
A113459: 1 2 3 5 5 7 7 11 11 11 11 13
(compr(\x.(x mod (((((x mod 2) * 2) * (2 + 1)) mod (x + 1)) + 1)),x) + 1)
A247945: 1 2 3 4 5 6 7 8 9 11 13 15 17 19 21 22
(compr(\x.(x mod (((x mod (x - ((x mod (2 + 2)) + 1))) div 2) + 1)),x) + 1)
A275616-A115405: 1 2 3 4 5 7 8 9 11 13 15 16 17 19 21 23
((((((x + 2) * x) * (2 + 1)) div (((2 + 1) * 2) + 1)) + x) + 1)
A184009: 1 3 6 10 15 21 27 35 43 52 62 73 85 97 111 125
(compr(\x.((x div 2) mod ((((x + 2) * x) mod ((2 + 1) * 2)) + 1)),x) + 1)
A259749: 1 2 5 7 10 11 13 17 19 23 25 26 29 31 34 35
(compr(\x.((((((x * 2) * 2) * 2) mod ((x div 2) + 1)) div 2) - 1),x) + 1)
A130676: 1 2 3 4 5 6 7 8 10 11 15 16 17 18 20 22
(((x div ((((((x div 2) - 1) mod (2 + 1)) + 2) + 2) + 1)) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A342524-A328161-A325456: 1 2 3 4 5 6 7 9 10 11 12 13 14 15 17 19
(((((x div ((2 + 2) * 2)) + (((x + 1) div 2) div 2)) + 1) * x) + 1)
A345745: 1 2 3 7 9 11 13 22 33 37 41 56 61 66 71 91
(((x div (((((x div ((0 - 2) - 2)) mod 2) + 2) * 2) + 1)) + x) + 1)
A071000: 1 2 3 4 5 7 8 9 10 11 12 13 14 16 17 19
(((((x + 2) * (x + 2)) div ((((2 + 2) * 2) * 2) - 1)) + x) + 1)
A185546: 1 2 4 5 7 9 11 13 15 18 20 23 26 29 32 35
(compr(\x.((((x + 2) * (x + 2)) div 2) mod (((2 + 2) * 2) + 1)),x) + 1)
A072557: 5 11 16 17 18 23 29 34 35 36 41 47 52 53 54 59
(((((((x + 1) div 2) div 2) * x) div (((2 + 2) * 2) + 1)) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A191325: 1 2 3 4 5 6 7 9 10 12 13 15 17 18 19 22
(compr(\x.(((((x mod 2) * x) + 2) * x) mod (((2 + 2) * 2) + 1)),x) + 1)
A236653: 1 8 10 19 26 28 37 44 46 55 62 64 73 80 82 91
(((((((x div 2) * x) div (2 + 2)) + 1) div ((2 + 2) + 1)) + x) + 1)
A196127: 1 2 3 4 5 6 8 9 10 12 13 14 16 18 20 21
((((((2 + 2) * 2) * ((x div 2) + 1)) div ((2 + 2) + 1)) + x) + 1)
A287775: 2 3 6 7 9 10 13 14 17 18 20 21 24 25 27 28
(((((2 + 2) + 1) * (x + 1)) + 1) * ((((2 + 2) + 1) * x) + 1))
A085025: 6 66 176 336 546 806 1116 1476 1886 2346 2856 3416 4026 4686 5396 6156
(compr(\x.(2 - ((((x - 1) div (2 + 1)) + x) mod ((2 + 2) + 1))),x) + 1)
A229081: 1 3 4 7 8 11 12 14 15 16 18 19 22 23 26 27
(((((((x + 1) div 2) div (2 + 1)) * x) div ((2 + 2) + 1)) + x) + 1)
A305504: 1 2 3 4 5 7 8 9 10 11 13 16 17 19 20 22
(((((((2 - x) div 2) mod (2 + 2)) + x) div ((2 + 2) + 1)) + x) + 1)
A137407: 1 2 3 5 6 7 8 9 10 11 13 14 16 17 18 19
(((((x - 2) div ((2 + 2) + 1)) * (x div ((2 + 2) + 1))) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A033948: 1 2 3 4 5 6 7 9 10 11 13 14 17 18 19 22
(((((x + 2) * 2) - (x mod (((2 - x) * (2 + 2)) - 1))) + x) + 1)
A189320: 5 7 11 16 22 28 34 40 46 52 58 64 70 76 82 88
((((((x * x) * (x + 1)) div 2) div (((x * 2) * 2) - 1)) + x) + 1)
A024195: 1 2 3 5 7 9 12 15 18 21 25 28 32 37 41 46
(((((1 - (x * 2)) div (((2 + 1) * 2) + 1)) * (2 + 1)) + x) + 1)
A194515: 1 ~1 0 1 2 0 1 2 0 1 2 3 1 2 3 1
((((((x div 2) - (x * 2)) div ((2 + 2) + 1)) * (2 + 1)) + x) + 1)
A194519: 1 ~1 0 1 ~1 0 1 ~1 0 1 2 0 1 2 0 1
(compr(\x.(x - (((((x div 2) + x) div (2 + 2)) - 1) * (2 + 1))),x) + 1)
A345509: 25 28 31 33 34 36 37 39 40 41 42 43 44 45 46 47
((((x + 2) div (((2 + 2) * 2) - ((x + 1) div (2 + 1)))) + x) + 1)
A285901: 1 2 3 4 5 7 8 9 11 12 13 15 16 17 20 21
(((((((x - 1) div (2 + 1)) * x) div (x + 1)) * (2 + 1)) + x) + 1)
A032976: 1 2 3 4 5 6 7 11 12 13 17 18 19 23 24 25
(((((((x div (2 + 1)) + x) div (2 + 1)) * 2) div (2 + 1)) + x) + 1)
A039082: 1 2 3 4 5 7 8 10 11 12 13 14 16 17 19 20
((((x * 2) div (2 - (x mod (((0 - 2) - 2) * (2 + 1))))) + x) + 1)
A180968: 1 2 3 4 5 7 8 10 11 13 16 19
((((((x div (((2 + 2) * 2) + 1)) + 2) + 2) * (2 + 1)) + x) + 1)
A297275-A296745: 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31
((((((((x div 2) + 2) * (2 + 1)) div 2) div 2) * (2 + 1)) - x) - 1)
A320642: 2 1 3 2 4 3 2 1 3 2 4 3 5 4 3 2
(((((((x div 2) + x) * ((x + 1) div 2)) + 2) div (2 + 1)) + x) + 1)
A146994: 1 3 4 7 9 13 16 22 25 32 36 44 49 59 64 75
(((x div ((((x + 1) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + x) + 1)
A327626: 1 2 3 4 5 6 7 9 9 10 11 12 13 14 15 18
(compr(\x.(((x * x) * (x - 1)) mod (((2 + 2) * 2) * (2 + 1))),x) + 1)
A172411: 1 2 5 10
A103215: 1 2 5 10 13 17 25 26 29 34 37 41 49 50 53 58
(((((2 + 2) + 1) * x) div ((((2 + 2) * 2) * (2 + 1)) - x)) + 1)
A035429: 1 1 1 1 2 2 2 3 3 4 4 5 6 6 8 9
(((((2 + 2) + 1) * x) * x) div ((((2 + 2) * (2 + 1)) + x) + 1))
A067850: 0 0 1 2 4 6 9 12 15 18 21 25 28 32 36 40
((((((((x * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) + x) + 1)
A187473: 2 4 6 8 10 12 15 16 19 21 23 25 27 29 31 34
((((((2 + 1) * x) + 2) * 2) * (x + 1)) * (((2 + 1) * x) + 1))
A192790: 4 80 336 880 1820 3264 5320 8096 11700 16240 21824 28560 36556 45920 56760 69184
((((((2 + 2) * 2) * (x + 1)) + x) * 2) * (((2 + 1) * x) + 1))
A304506: 16 136 364 700 1144 1696 2356 3124 4000 4984 6076 7276 8584 10000 11524 13156
(((((((2 - x) mod ((x div 2) + 2)) div 2) + x) div (2 + 1)) + x) + 1)
A321372: 1 2 3 5 6 7 9 10 11 13 15 16 18 19 20 21
(((((((x - 1) div (2 + 1)) * 2) + 1) * (x div (2 + 1))) + x) + 1)
A251599: 1 2 3 5 8 9 13 18 19 25 32 33 41 50 51 61
(compr(\x.((2 - (((x div 2) + x) div (2 + 2))) + (x div (2 + 1))),x) + 1)
A345500: 33 36 39 41 42 44 45 47 48 49 50 51 52 53 54 55
(((x * 2) div ((((((2 + 2) * 2) * (2 + 1)) - x) - 1) - x)) + 1)
A319638: 1 1 1 1 1 1 2 2 3 4 7
(((((2 - (x - (((x * 2) * 2) * (x + 1)))) * x) + 1) * x) + 1)
A130886: 1 11 99 427 1253 2931 5911 10739 18057 28603 43211 62811 88429 121187 162303 213091
(((((x - ((((1 - x) * (x * 2)) - 1) * 2)) * x) - 1) * x) + 1)
A131465: 1 3 47 259 861 2171 4603 8667 14969 24211 37191 54803 78037 107979 145811 192811
(((((x - 1) * x) div (((((2 + 2) * 2) * 2) + x) - 1)) + x) + 1)
A214981: 1 2 3 4 5 7 8 9 11 13 14 16 17 19 21 23
(compr(\x.((1 - ((x + 2) mod ((2 + 2) * (2 + 1)))) mod (x + 1)),x) + 1)
A297274-A296744-A044960-A044822-A043714: 1 2 3 4 5 6 7 8 9 10 12 24 36 48 60 72
(((((x mod (((2 + 2) * (2 + 1)) - 1)) + 2) mod (x + 1)) + x) + 1)
A026511: 1 3 4 5 6 7 8 9 10 11 12 14 16 18 20 22
(compr(\x.((1 - ((x + 2) mod (((2 + 2) + 1) * 2))) mod (x + 1)),x) + 1)
A297268-A297145-A296709-A044958-A044820-A043712-A037407: 1 2 3 4 5 6 7 8 10 20 30 40 50 60 70 80
((((((x + 2) * (x + 2)) * ((x + 2) + 2)) * (x + 1)) - x) + 1)
A061222: 17 90 287 698 1437 2642 4475 7122 10793 15722 22167 30410 40757 53538 69107 87842
(((((x * x) + 1) * (x + 1)) * (x + 1)) * (((x + 1) * x) + 1))
A069779: 1 24 315 2080 8925 29016 77959 182400 384345 746200 1356531 2336544 3847285 6097560 9352575 13943296
((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * 2) + x) + 1)
A246088: 1 2 3 4 5 6 7 8 9 10 11 12 15 18 21 24
(compr(\x.(((2 - (x mod (2 + 2))) mod ((x div (2 + 1)) + 1)) mod 2),x) + 1)
A063743: 1 2 3 5 7 8 9 11 13 15 17 19 20 21 23 25
(compr(\x.(1 - (x mod (((1 - x) mod ((x div (2 + 1)) + 1)) + 2))),x) + 1)
A324694: 2 4 5 6 8 10 12 14 15 16 17 18 20 22 23 24
((((x div ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) * 2) + x) + 1)
A255137: 1 4 5 6 7 10 11 12 13 14 17 18 19 20 21 22
(((((((x - 2) * x) + 1) div (((2 + 1) * 2) + 1)) * 2) + x) + 1)
A008824: 1 2 3 4 7 10 13 18 23 28 33 40 47 54 63 72
((((x + 2) - ((x + 1) mod ((((2 + 1) * 2) + 1) * 2))) * x) + 1)
A044915: 1 2 3 4 5 6 7 8 9 10 11 12 13 196 211 226
(compr(\x.((x - (((1 - x) * 2) div (((2 + 2) * 2) + 1))) mod 2),x) + 1)
A231407: 1 4 6
A193627: 1 4 6 7 9 11 12 14 17 19 22 24 25 27 29 30
(compr(\x.(1 - ((x + 1) mod (((x div ((2 + 2) * 2)) + 1) * 2))),x) + 1)
A080259: 1 3 5 7 9 10 11 13 14 15 17 19 20 21 22 23
((((((((x mod 2) + x) * 2) + 1) div ((2 + 2) + 1)) * 2) + x) + 1)
A284371: 1 4 5 6 7 10 11 14 15 18 19 22 23 24 25 28
((((((x * x) * (x - 1)) div ((x div (2 + 2)) + 1)) mod 2) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A089657: 1 2 3 4 5 6 7 9 10 10 11 13 13 15 16 17
((((((x div ((0 - 2) - 2)) div (0 - 2)) * (2 + 1)) div 2) + x) + 1)
A088451: 1 2 3 4 5 7 8 9 10 11 12 13 14 17 18 19
(((((x div (((x div (2 + 2)) + 2) + 2)) * (2 + 1)) div 2) + x) + 1)
A022293: 1 2 3 4 5 7 8 9 10 11 12 13 14 15 18 19
(compr(\x.(((x * x) * x) mod (((x mod (2 + 2)) * (2 + 1)) + 2)),x) + 1)
A285627: 1 3 5 6 7 9 11 12 13 15 17 19 21 23 25 26
(((((x * x) - ((((x + 2) * x) div 2) div (2 + 1))) div 2) - x) + 1)
A059293: 1 0 0 1 3 6 9 13 18 24 31 39 47 56 66 77
(((x div (((((2 + 2) * 2) - (x div 2)) * (2 + 1)) + 2)) + x) + 1)
A119885-A007964: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 17 19
(((((1 - (x mod ((x mod 2) + 2))) mod ((x * 2) + 1)) + 2) + x) + 1)
A154661: 3 4 6 7 8 18
((((((x mod (((x div 2) + 2) + 2)) + 2) mod (x + 1)) * 2) + x) + 1)
A285623: 1 4 5 6 7 8 9 12 13 16 17 20 21 24 25 28
(((((x - (((x + 1) div ((2 + 2) + 1)) - 1)) * 2) * 2) + x) + 1)
A101889: 5 10 15 20 21 26 31 36 41 42 47 52 57 62 63 68
((((x * 2) div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + x) + 1)
A026496: 1 2 4 5 7 8 10 11 13 14 15 16 17 19 20 22
(((x + 1) * (2 + 1)) div ((((((2 + 2) + 1) * 2) * 2) - x) + 1))
A015741: 0 0 0 0 0 1 1 1 2 2 3 3 4 5 6 8
((((((((x div 2) + x) div (2 + 2)) * (2 + 1)) div 2) div 2) + x) + 1)
A229302: 1 2 3 4 5 6 8 9 11 12 13 15 16 17 18 19
(((((x div 2) + x) div ((((x div 2) div (2 + 1)) + 2) + 2)) + x) + 1)
A121518: 1 2 3 5 6 7 8 10 11 12 14 15 16 17 18 19
((((((((x + 2) * x) div 2) + (x mod (2 + 1))) div 2) div 2) + x) + 1)
A191535-A100598: 1 2 4 5 8 10
A144876: 1 2 4 5 8 10 13 16 19 22 26 30 34 38
(((((((((x - 1) div (2 + 1)) * x) div 2) + 1) div 2) div 2) + x) + 1)
A088232: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 23
(((((((((x div 2) div (2 + 1)) * x) div 2) + 1) div 2) div 2) + x) + 1)
A250482: 1 2 3 4 5 6 8 9 10 11 12 13 16 17 18 20
((((((((x div (2 + 2)) mod 2) + (x div 2)) + 1) div 2) * 2) + x) + 1)
A285663: 1 2 5 6 9 10 11 12 13 14 17 18 21 22 23 24
(compr(\x.(((((((x - 1) div 2) div 2) div 2) * (x - 1)) div 2) mod 2),x) + 1)
A230776: 1 2 3 4 5 6 7 8 9 10 11 14 15 18 20 22
((((((((0 - x) - 1) mod ((2 + 2) * 2)) + 2) + 2) * 2) + x) + 1)
A004464: 23 22 21 20 19 18 17 16 31 30 29 28 27 26 25 24
(((((x - ((x * x) div (1 - ((2 + 2) * 2)))) div 2) div 2) + x) + 1)
A248560: 1 2 3 5 6 8 10 11 13 15 17 19 21 23 25 28
(((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2) * 2) + x) + 1)
A231848: 1 2 3 4 5 6 7 8 9 10 15 20 25 30 35 40
(((x div (((((x + 1) div 2) mod ((2 + 2) * 2)) + 2) + 2)) + x) + 1)
A343107: 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 19
((((((x * 2) * 2) + 1) div (((x div (2 + 2)) + 2) + 2)) + x) + 1)
A221056: 1 3 5 7 8 10 12 13 14 16 17 19 20 21 23 24
((((((x * x) - (((2 - x) * x) div (2 + 2))) div 2) div 2) + x) + 1)
A231408: 1 2 4 6 9
A022331: 1 2 4 6 9 13 17 22 28 34 41 48 56 65 74 84
(((((x div 2) - (((x + 1) div (2 + 1)) mod (2 + 2))) div 2) + x) + 1)
A206718: 1 2 3 4 5 6 7 8 9 10 12 14 16 17 18 19
(((((x - 1) * x) div (((x div 2) + 2) + ((2 + 2) * 2))) + x) + 1)
A187102: 1 2 3 4 6 7 9 11
A225086: 1 2 3 4 6 7 9 11 13 15 17 19 21 23 25 28
((((x - (((x * x) div (((x div 2) + x) + 2)) mod 2)) div 2) + x) + 1)
A187683: 1 2 4 5 7 8 9 11 13 14 15 17 18 20 22 23
(((((((((x div 2) + x) * x) + 2) div (x + 2)) div 2) * 2) + x) + 1)
A000277: 1 2 5 6 9 10 13 16 17 20 23 24 27 30 33 34
((((((x mod ((x div 2) + 1)) div 2) + ((x * 2) * 2)) * 2) + x) + 1)
A276871: 1 10 19 28 37 48 57 66 75 86 95 104 113 124 133 142
((((((x div ((x mod ((2 + 2) + 1)) + 2)) + x) div 2) div 2) + x) + 1)
A026514: 1 2 3 4 6 7 9 10 11 12 14 15 16 17 19 21
(((((((x - ((2 - x) div (2 + 2))) div 2) + x) + 2) * 2) + x) + 1)
A101345: 5 8 13 18 21 26 29 34 39 42 47 52 55 60 63 68
((((((x * 2) div (((2 + 2) * 2) + 1)) + (x * 2)) * 2) + x) + 1)
A276872: 1 6 11 16 21 28 33 38 43 50 55 60 65 70 77 82
(((((x div ((2 - ((x div 2) mod 2)) + 2)) + (x div 2)) div 2) + x) + 1)
A230391: 1 2 3 5 6 7 9 10 12 13 15 16 17 18 20 22
((((((((x div 2) + x) * x) div ((2 + 2) + 1)) + x) div 2) + x) + 1)
A231408: 1 2 4 6 9
A157795: 1 2 4 6 9 12 15 18 22 26 31 35 40
((((((((x div 2) div (2 + 1)) + x) div (2 + 1)) + x) * 2) + x) + 1)
A085048: 1 4 7 12 15 18 23
A276875: 1 4 7 12 15 18 23 26 31 34 37 42 45 50 53 56
((((((((x + 1) div 2) div 2) div 2) + ((x + 1) * x)) div 2) + x) + 1)
A025731: 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 137
((((((((x * 2) * 2) div ((2 + 2) + 1)) * 2) + x) * 2) + x) + 1)
A339215: 1 4 11 18 25 32 35 42 49 56 63 66 73 80 87 94
((((((2 - x) div (2 - (x div ((0 - 2) - 2)))) + x) * 2) + x) - 1)
A050487: 1 2 5 6 9 12 15 16 19 22 25 28 31 34 37 38
((((((((x div 2) div ((2 + 2) + 1)) + x) div 2) + x) * 2) + x) + 1)
A276873: 1 4 9 12 17 20 25 28 33 36 41 46 49 54 57 62
((((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + x) * 2) + x) + 1)
A276885: 1 4 9 12 17 22 25 30 33 38 43 46 51 56 59 64
(((((((2 + 2) * 2) * 2) * 2) * 2) + 1) * (((x + 2) * x) + 1))
A165798: 65 260 585 1040 1625 2340 3185 4160 5265 6500 7865 9360 10985 12740 14625 16640
(((((x + 2) * (x + 2)) * (x + 1)) div 2) * (((x + 2) * x) + 1))
A099903: 2 36 216 800 2250 5292 10976 20736 36450 60500 95832 146016 215306 308700 432000 591872
(((((x + 2) * x) * (x + 2)) * (x + 2)) * (((x + 2) * x) + 1))
A101213: 0 108 1152 6000 21600 61740 150528 326592 648000 1197900 2090880 3480048 5564832 8599500 12902400 18865920
(compr(\x.(((x + 1) mod (((x div 2) div (2 + 1)) + 1)) - (x mod 2)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A064481: 1 2 3 4 5 6 8 10 12 15 16 18 20 24 25 26
((((((((x + 2) * x) div 2) div (2 + 1)) + (x * x)) * 2) + x) + 1)
A212901: 1 4 13 26 45 66 95 126 163 204 251 300 357 416 481 550
(((((x + 1) * 2) mod (((x div 2) div (2 + 1)) + 1)) + 1) * (x + 1))
A078546: 1 2 3 4 5 6 7 8 9 10 11 12 39 28 15 48
((((((x + 2) * 2) * 2) * (((x + 1) * 2) + 1)) - 1) * (x + 1))
A253679: 23 118 333 716 1315 2178 3353 4888 6831 9230 12133 15588 19643 24346 29745 35888
(((((2 + 2) * (x + 1)) * (((2 + 2) * 2) + 1)) + 1) * (x + 1))
A157324: 37 146 327 580 905 1302 1771 2312 2925 3610 4367 5196 6097 7070 8115 9232
(((((2 + 2) * (x + 1)) * (((2 + 2) * 2) + 1)) - 1) * (x + 1))
A157286: 35 142 321 572 895 1290 1757 2296 2907 3590 4345 5172 6071 7042 8085 9200
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1) * (x + 1))
A231407: 1 4 6
A251630: 1 4 6 12 15 18 28 32 36 40 55 60 65 70 75 96
((((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)) + 1) * (x + 1))
A173089: 26 102 228 404 630 906 1232 1608 2034 2510 3036 3612 4238 4914 5640 6416
((((((x * 2) * (2 + 1)) + 2) * ((2 + 2) + 1)) - 1) div (x + 1))
A228610: 9 19 23 24 25 26
compr(\x.(((x mod ((2 + 1) * 2)) - (x mod ((2 + 2) + 1))) - 1),(x + 1))
A032893: 1 2 3 4 6 7 8 9 12 13 14 18 19 24 25 26
compr(\x.(((x * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)),(x + 1))
A141807: 1 2 3 4 5 6 7 8 9 11 12 13 16 17 19 20
compr(\x.((((((x div (2 + 1)) + 2) * x) div 2) mod (2 + 1)) - 1),(x + 1))
A288674: 1 3 4 5 6 8 9 10 11 12 13 14 15 18 19 21
((((((x mod (2 + 2)) + 2) * (x mod 2)) * (2 + 1)) + 1) mod (x + 1))
A094924: 0 0 1 0 1 4 1 0 1 0 1 4 1 10 1 0
((((((x + 2) + 1) * (x + 2)) div ((x mod 2) + 1)) + 1) * (x + 1))
A295388: 7 14 63 64 215 174 511 368 999 670 1727 1104 2743 1694 4095 2464
((((((2 + 2) * 2) * 2) * (((x + 2) * x) + 1)) - 1) * (x + 1))
A069975: 15 126 429 1020 1995 3450 5481 8184 11655 15990 21285 27636 35139 43890 53985 65520
((((((((2 + 2) * 2) * 2) * 2) * 2) * (x + 1)) + 1) * (x + 1))
A031694: 65 258 579 1028 1605 2310 3143 4104 5193 6410 7755 9228 10829 12558 14415 16400
((((((((2 + 2) * 2) * 2) * 2) * 2) * (x + 1)) - 1) * (x + 1))
A157948: 63 254 573 1020 1595 2298 3129 4088 5175 6390 7733 9204 10803 12530 14385 16368
(((((1 - x) mod (((x * 2) div (2 + 1)) + 1)) * 2) + 1) div (x + 1))
A321692: 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1
compr(\x.(1 - (x mod (((((x div 2) mod (2 + 1)) + 1) * 2) + 1))),(x + 1))
A260402: 2 3 4 5 7 8 9 10 11 13 14 16 17 19 21 22
compr(\x.((((x * x) mod (((x div (2 + 1)) * 2) - 1)) div 2) - 1),(x + 1))
A095135: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 17 22
((((x - (x mod ((((x + 1) div 2) div 2) + 1))) mod 2) + 1) mod (x + 1))
A175078: 0 0 1 1 1 1 1 1 1 2 2 1 1 1 1 2
compr(\x.(x mod (((x mod ((x div ((2 + 2) * 2)) + 1)) * 2) + 1)),(x + 1))
A178859-A165412: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21
compr(\x.(((x * 2) * 2) mod ((((x div (2 + 2)) + 1) div 2) + 1)),(x + 1))
A271239-A263808-A180477: 1 2 3 4 5 6 7 8 9 10 11 12 15 18 20 21
compr(\x.((x mod (((1 - x) mod ((x div (2 + 2)) + 1)) + 2)) - 1),(x + 1))
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A091402: 1 2 3 4 5 6 7 8 9 10 12 13 16 25
((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + 1) * (x + 1))
A229347: 1 2 3 4 5 12 7 8 9 20 11 24 13 28 30 16
((((x + 1) mod (((x mod ((x mod 2) + 2)) + 1) * 2)) + 1) mod (x + 1))
A175830: 0 1 2 1 2 1 2 1 2 1 2 1 2 3 2 1
((2 - ((x - 1) mod ((((x div 2) mod (2 + 1)) + 2) + 1))) div (x + 1))
A078580: 0 1 0 0 ~1 ~1 0 0 ~1 0 ~1 0 0 0 0 0
((x - (((2 - x) * (x * 2)) div (((2 + 1) * 2) + 1))) mod (x + 1))
A194751: 0 1 2 0 2 4 6 1 4 7 0 4 8 12 2 7
compr(\x.((x mod ((2 + 1) * 2)) - (x mod (((2 + 1) * 2) + 1))),(x + 1))
A032885: 1 2 3 4 5 6 12 13 18 19 20 24 25 26 27 30
((((x + 1) mod ((((x div 2) * x) mod (2 + 1)) + 2)) + 1) mod (x + 1))
A194448: 0 1 1 1 2 1 2 1 2 1 4 1 2 1 4 1
((((((x mod ((x div (2 + 2)) + 2)) div 2) mod 2) * 2) + 1) mod (x + 1))
A073780: 0 1 1 1 1 3 1 1 1 1 3 3 3 3 1 1
compr(\x.((x mod ((2 + 2) * 2)) - (x mod (((2 + 2) * 2) + 1))),(x + 1))
A032887: 1 2 3 4 5 6 7 8 16 17 24 25 26 32 33 34
((((x + 2) + 2) + 2) - (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)))
A168096: 6 7 8 9 10 11 12 13 13 13 13 13 13 13 13 13
(((x * x) div (2 + 2)) - (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)))
A294060: 0 0 1 2 4 6 9 12 15 18 22 26 31 36 42 48
(1 - ((1 - ((x div 2) div (((x mod (2 + 2)) * 2) - 1))) div (x + 1)))
A327500-A322818-A066922: 0 1 1 1 1 2 1 1 1 2 1 1 1 2 2 1
(((((((x div 2) div (0 - 2)) * (x div 2)) div 2) mod 2) + 1) mod (x + 1))
A192227: 0 1 2 2 2 2 2 2 1 1 1 1 2 2 1 1
((((((x + 2) * x) div 2) mod (((x mod 2) + 2) * 2)) + 1) * (x + 1))
A114562: 1 4 3 8 5 36 7 16 9 20 11 72 13 28 15 32
(((((((x * x) * (2 + 1)) - x) div 2) div (2 + 2)) - 1) mod (x + 1))
A194733: 0 1 0 2 4 1 4 0 4 8 2 7 12 4 10 1
compr(\x.(2 - ((((x div 2) * (x + 1)) - 1) mod ((2 + 2) + 1))),(x + 1))
A285500: 1 2 3 4 7 9 10 11 12 13 14 17 19 20 21 22
compr(\x.(1 - (((x mod ((x mod 2) + 2)) * x) mod ((2 + 2) + 1))),(x + 1))
A070884: 7 11 13 17 19 23 29 31 37 41 43 47 49 53 59 61
compr(\x.(x div (((x div (2 + 2)) + 2) * ((x mod (2 + 2)) + 1))),(x + 1))
A078135: 1 2 3 5 6 7 10 11 14 15 19 23
compr(\x.((((x * x) * 2) mod ((((x mod 2) * x) div 2) + 2)) - 1),(x + 1))
A256389: 1 2 3 4 6 8 9 10 12 14 15 16 18 20 22 24
((((((x + 2) * 2) * 2) * 2) * (((x + 2) + 2) + 1)) - (x + 1))
A250658: 79 142 221 316 427 554 697 856 1031 1222 1429 1652 1891 2146 2417 2704
(((((((x - 1) mod (2 + 1)) + 1) * (x div 2)) * 2) + 1) div (x + 1))
A127242: 1 0 1 1 1 1 2 0 1 2 1 1 2 0 1 2
((1 - (x mod ((((x div (2 + 1)) - (x div 2)) div 2) - 1))) * (x + 1))
A327262: 1 2 3 4 5 12 7 16 9 20 11 24 13 28 30 32
compr(\x.((x div 2) - ((x mod (((2 + 1) * 2) + 1)) * (2 + 1))),(x + 1))
A032878-A032845: 1 2 3 4 5 6 9 10 11 12 13 17 18 19 20 25
((((((2 - x) + 1) * x) mod ((x div 2) + 1)) div (2 + 1)) * (x + 1))
A308122: 0 0 0 0 0 0 0 0 0 0 0 0 13 14 30 16
((x - (1 - ((((2 + 2) * 2) * (x + 1)) * (2 + 1)))) * (x + 1))
A154376: 23 96 219 392 615 888 1211 1584 2007 2480 3003 3576 4199 4872 5595 6368
compr(\x.(x - (((x div (((x mod 2) + 2) * 2)) + 2) * (2 + 1))),(x + 1))
A271168-A103969: 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 24
(((x + 1) div 2) - ((((x mod 2) - (x * 2)) * (2 + 1)) div (x + 1)))
A036496: 0 3 5 6 7 8 9 9 10 11 11 12 12 13 13 14
((1 - (((x div ((x mod 2) + 1)) * (0 - x)) div (2 + 1))) div (x + 1))
A029227: 1 0 1 0 1 0 1 1 2 1 3 1 3 1 4 2
compr(\x.((x mod (((2 + 2) * (2 + 1)) - 1)) * (x mod (2 + 1))),(x + 1))
A230193-A201462: 3 6 9 11 12 15 18 21 22 24 27 30 33 36 39 42
((((x mod ((2 + 2) * (2 + 1))) + 1) * ((x div 2) + 1)) mod (x + 1))
A213186: 0 0 0 0 0 0 0 0 0 0 0 0 7 0 9 0
((((x - (1 - (((x + 1) * 2) * (2 + 1)))) * x) + 1) * (x + 1))
A100162: 1 26 117 316 665 1206 1981 3032 4401 6130 8261 10836 13897 17486 21645 26416
((((((((x + 2) * (x + 2)) + 2) * x) + 1) * x) + 1) * (x + 1))
A269658: 1 26 225 988 3065 7686 16681 32600 58833 99730 160721 248436 370825 537278 758745 1047856
(((((x + 1) mod ((x div (2 + 1)) + 1)) mod 2) * (x + 1)) * (x + 1))
A108321: 0 0 0 0 25 0 49 0 0 0 121 0 169 0 0 0
(((((x * x) * (x * x)) + 1) * x) * (((x * x) + 1) * (x + 1)))
A228292: 0 8 510 9840 87380 488280 2015538 6725600 19173960 48427560 111111110 235794768 469070940 883708280 1589311290 2745954240
(((((((x + 1) * 2) * (2 + 1)) * (2 + 1)) + 1) * 2) * (x + 1))
A158064: 38 148 330 584 910 1308 1778 2320 2934 3620 4378 5208 6110 7084 8130 9248
(((((((x + 1) * 2) * (2 + 1)) * (2 + 1)) - 1) * 2) * (x + 1))
A158062: 34 140 318 568 890 1284 1750 2288 2898 3580 4334 5160 6058 7028 8070 9184
((((x * 2) div (((x div 2) div ((x mod 2) + 1)) + 1)) mod 2) * (x + 1))
A308147: 0 0 0 0 0 6 7 8 9 0 11 12 13 0 15 16
((((((((2 + 2) * 2) * 2) * 2) * (x + 1)) - 1) * 2) * (x + 1))
A158067: 62 252 570 1016 1590 2292 3122 4080 5166 6380 7722 9192 10790 12516 14370 16352
compr(\x.((x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))) - 2),(x + 1))
A254785: 1 2 3 4 5 6 7 8 9 11 12 13 21 22 23 31
((1 - (((x div 2) - (x div (((2 + 1) * 2) + 1))) * 2)) mod (x + 1))
A282691: 0 1 2 3 2 3 2 5 4 5 4 5 4 5 6 7
((1 - ((x * x) mod (((x mod ((2 + 1) * 2)) + 1) + 2))) div (x + 1))
A000480: 1 0 ~1 ~1 ~1 0 0 0 ~1 ~1 ~1 0 0 0 0 ~1
(((x + 1) mod (((x mod (((x mod 2) + 1) * 2)) + 1) * 2)) mod (x + 1))
A229878: 0 0 1 0 1 2
A080940: 0 0 1 0 1 2 1 0 1 2 1 4 1 2 1 0
compr(\x.((x - ((x * 2) div ((((2 + 2) * 2) * 2) - 1))) mod 2),(x + 1))
A184978: 2 4 6 9 11
A327213: 2 4 6 9 11 13 16 18 20 22 23 25 27 29 30 32
(((x mod (((x div (2 + 2)) + ((2 + 2) * 2)) + 1)) + 2) mod (x + 1))
A316080: 0 1 1 1 1 1 1 1 1 1 1 2 2 3 4 5
((((((x * x) + 1) * x) mod (((2 + 2) * 2) + 1)) + 2) mod (x + 1))
A049803: 0 0 0 1 2 0 1 2 0 2 4 3 5 7 6 8
((((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)) + 2) * (x + 1))
A154377: 27 104 231 408 635 912 1239 1616 2043 2520 3047 3624 4251 4928 5655 6432
compr(\x.((x mod 2) - (((x - (x div (2 + 1))) div (2 + 1)) mod 2)),(x + 1))
A190237: 2 4 5 6 7 8 10 12 13 14 15 16 18 20 22 23
((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) * (x + 1))
A249154: 0 2 3 8 5 12 14 24 9 20 22 36 26 42 45 64
(((((((x div 2) * (x + 1)) mod 2) - x) div (2 + 1)) * 2) + (x + 1))
A127255: 1 0 1 2 1 2 3 2 3 4 5 4 5 4 5 6
compr(\x.(1 - (x mod (1 - ((1 - x) div ((x div (2 + 1)) + 2))))),(x + 1))
A112250: 5 7 8 10 11 13 14 17 18 19 21 22 23 25 26 27
(((((((x + 2) + 1) * (x + 2)) + (x mod 2)) + 1) * 2) * (x + 1))
A192846: 14 56 126 256 430 696 1022 1472 1998 2680 3454 4416 5486 6776 8190 9856
compr(\x.((((x * x) * 2) div ((((2 + 2) * 2) + x) + 1)) mod 2),(x + 1))
A189131: 1 2 4 6 7 10 11 15 16 17 18 24 25 26 27 28
compr(\x.((((x mod (((2 + 1) * 2) + 1)) + 1) mod (x + 1)) mod 2),(x + 1))
A067319: 1 2 3 4 5 6 8 10 12
A033058: 1 2 3 4 5 6 8 10 12 15 17 19 22 24 26 29
(((((((2 - x) * x) - 2) * (x div 2)) div (x + 1)) mod 2) * (x + 1))
A308254: 0 0 3 0 0 0 0 0 9 0 0 12 13 14 0 16
compr(\x.(1 - ((x - (2 + 2)) mod (2 - (x div ((0 - 2) - 2))))),(x + 1))
A154663: 3 5 6 7 10 11
A028983: 3 5 6 7 10 11 12 13 14 15 17 19 20 21 22 23
(((((x mod 2) * (x + 1)) mod (((2 + 2) + 1) * 2)) * 2) - (x + 1))
A121758: ~1 2 ~3 4 ~5 6 ~7 8 ~9 ~10 ~11 ~8 ~13 ~6 ~15 ~4
compr(\x.(x - (2 - (x div (((x div ((2 + 2) + 1)) mod 2) - 2)))),(x + 1))
A073526: 1 2 3 4 5 6 7 8 9 15 16 17 18 19 25 26
(2 - ((1 - ((x + 2) mod ((x mod ((2 + 1) * 2)) + 2))) div (x + 1)))
A052298: 1 2 2 2 2 2 2 2 3 2 2 3 2 2 2 3
compr(\x.((x mod 2) - (((x * 2) div ((x div (2 + 1)) + 2)) mod 2)),(x + 1))
A026509: 1 2 4 5 6 7 8 9 10 12 14 16 18 20 22 23
((((x - (x div (((1 - x) mod (2 + 1)) + 2))) mod 2) + 2) mod (x + 1))
A069903: 0 1 2 2 2 2 2 2 2 2 3 3 2 3 3 2
((((((x + 2) * (x + 1)) + ((2 + 2) * 2)) * 2) * 2) * (x + 1))
A192791: 40 112 240 448 760 1200 1792 2560 3528 4720 6160 7872 9880 12208 14880 17920
compr(\x.((x - 1) mod (x - ((x + 1) mod (((2 + 2) * 2) * 2)))),(x + 1))
A297286-A296756-A044964-A044826-A043718: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 32
compr(\x.(1 - (((x div (2 + 2)) * (x - 1)) mod ((2 + 2) * 2))),(x + 1))
A088721: 5 6 7 8 10 11 12 13 14 15 16 18 20 21 22 23
((x div ((((2 + 2) * 2) * 2) - 1)) + (((2 + 2) * 2) * (x + 1)))
A186544: 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120 129
((((x * 2) + 1) div ((2 + 2) + 1)) + (((2 + 2) * 2) * (x + 1)))
A182767: 8 16 25 33 41 50 58 67 75 83 92 100 109 117 125 134
(((x + 2) div (1 - ((2 + 2) * 2))) + (((2 + 2) * 2) * (x + 1)))
A292639: 7 15 23 31 39 47 54 62 70 78 86 94 102 109 117 125
compr(\x.((x mod (((2 + 1) * 2) + 1)) - (x mod ((2 + 2) * 2))),(x + 1))
A032886: 1 2 3 4 5 6 7 14 15 21 22 23 28 29 30 31
(((1 - ((((x * x) * (2 + 1)) - x) div (2 + 2))) div 2) mod (x + 1))
A194734: 0 0 2 1 0 4 2 7 4 1 8 4 0 9 4 14
(((((x * x) div ((2 + 2) + 1)) + ((x * 2) * 2)) * 2) div (x + 1))
A121855: 0 4 5 6 7 8 8 9 9 10 10 11 11 12 12 13
((((x * 2) * 2) div (((2 + 1) * 2) + 1)) + ((2 + 2) * (x + 1)))
A004081: 4 8 13 17 22 26 31 36 40 45 49 54 58 63 68 72
(((((x - 2) div (2 + 1)) - x) div (2 + 1)) + ((2 + 2) * (x + 1)))
A292637-A279608: 3 7 11 15 18 22 26 30 34 37 41 45 49 52 56 60
((((x - (x div ((0 - 2) - 2))) div 2) div 2) + ((2 + 2) * (x + 1)))
A001956: 4 8 12 17 21 25 30 34 38 43 47 51 55 60 64 68
((((x + 1) * 2) div (1 - ((2 + 2) * 2))) + ((2 + 2) * (x + 1)))
A000572: 3 7 11 14 18 22 26 29 33 37 40 44 48 52 55 59
((((((2 - x) div 2) div (2 + 1)) - x) div 2) + ((2 + 2) * (x + 1)))
A184623-A184581: 4 7 11 14 17 21 24 28 31 34 38 41 45 48 52 55
compr(\x.((((x div 2) div (((2 + 1) * 2) + 1)) + x) mod (2 + 2)),(x + 1))
A190697-A190687: 4 8 12 15 19 23 27 30 34 38 45 49 53 56 60 64
compr(\x.(((((x div 2) div (((2 + 1) * 2) + 1)) + x) div 2) mod 2),(x + 1))
A190671: 1 4 5 8 9 12 13 15 16 19 20 23 24 27 30 31
compr(\x.((((x * x) - 2) mod ((((2 + 2) * 2) + x) + 2)) mod 2),(x + 1))
A115836: 1 2 4 5 6 8 10 11 12 13 14 16 18 20 22 23
(((((x mod ((x div (2 + 2)) + 1)) div 2) + (x mod 2)) * 2) mod (x + 1))
A161840: 0 0 0 2 0 2 0 2 2 2 0 4 0 2 2 4
((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) - (1 - (2 div (x + 1))))
A097045: 1 0 ~1 ~1 ~1 ~1 ~1 ~1 0 1 2 3 4 5 6 7
(x - ((((x mod (((2 + 2) + 1) * 2)) * (1 - x)) div 2) mod (x + 1)))
A194749: 0 1 0 2 0 3 0 4 0 5 10 4 10 3 10 2
(((x * 2) div (1 - ((2 + 2) * (2 + 1)))) + ((x + 2) * (x + 1)))
A245207: 2 5 11 19 29 41 54 70 88 108 130 154 179 207 237 269
(((((((2 + 2) * 2) * 2) * (x + 1)) * (2 + 1)) + x) * (x + 1))
A157923: 48 194 438 780 1220 1758 2394 3128 3960 4890 5918 7044 8268 9590 11010 12528
(2 - (((((((x * x) + 1) * x) * x) + 1) * (2 - x)) * (x + 1)))
A152030: 0 ~4 2 366 2732 11720 37326 98042 224696 465012 888890 1594406 2714532 4424576 6950342 10577010
(((((((x div 2) + x) + 1) * ((x div 2) + x)) div 2) + x) + (x + 1))
A026381: 1 4 11 17 30 39 58 70 95 110 141 159 196 217 260 284
(((((((x * x) * (x - 2)) + 1) * x) * (x - 1)) div 2) * (x - 1))
A101384: 0 0 1 60 594 3040 10875 30996 75460 163584 324405 599500 1046166 1740960 2783599 4301220
(((((((x + 1) * x) * ((2 + 2) + 1)) + 2) * x) * x) * (x - 1))
A134630: 0 0 128 1116 4896 15200 38160 82908 162176 292896 496800 801020 1238688 1849536 2680496 3786300
((x mod (2 - (x mod ((x mod ((x div ((0 - 2) - 1)) - 1)) - 1)))) div 2)
A326844-A261079: 0 0 0 0 0 1 0 0 0 2 0 2 0 3 1 0
((((x + 2) mod ((x div (2 - (x mod ((0 - 2) - 1)))) + 1)) + 1) div 2)
A339871: 0 0 0 1 0 1 0 1 1 1 0 1 0 2 1 1
(((((x + 1) * 2) div ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1) div 2)
A094175: 1 1 1 1 1 1 1 1 1 10 6 4 3 3 3 2
(((((x div 2) + 1) div ((x mod ((x div (2 + 2)) + 1)) + 1)) + 1) div 2)
A173305: 1 1 1 1 2 1 2 1 1 3 2 1 4 2 1 1
(((((x div (2 + 1)) + x) div (((x + 1) div (2 + 1)) + 1)) + 1) div 2)
A245760: 0 1 1 1 1 1 1 2 1 2 2 1 2 2 2 2
((((x * x) mod (((2 - ((x div 2) mod 2)) * (2 + 1)) + 1)) + 1) div 2)
A048823: 0 1 0 1 1 2 0 1 1 2 0 1 2 1 0 1
((((x * x) div (((x div (2 + 2)) + (x div (2 + 1))) + 1)) + 1) mod 2)
A341753: 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0
(((((((x * 2) * 2) - 1) * 2) mod ((x div (2 + 1)) + 1)) + 1) div 2)
A241272: 0 0 0 0 0 0 1 0 1 1 1 1 2 1 0 2
((((x + 1) mod ((((x div 2) * (x div 2)) mod (x + 1)) + 1)) + 1) mod 2)
A190188: 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1
((((x * 2) - 1) div (((x mod 2) - (x div ((0 - 2) - 1))) + 1)) + 2)
A060607: 1 2 3 3 4 4 5 4 5 5 5 5 6 5 6 6
(((x div (2 + 1)) - (x div ((x mod ((x div (0 - 2)) - 1)) - 1))) mod 2)
A116927: 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1
((((x div 2) div ((((x + 1) mod ((2 + 2) + 1)) mod 2) + 1)) + 1) mod 2)
A088025: 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
(((x mod ((((x div (2 - (x mod 2))) div (2 + 1)) * 2) - 1)) + 1) div 2)
A316401: 0 0 0 0 0 0 0 1 0 2 0 1 0 3 1 3
((((x * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) + 1) * 2)
A190003: 2 6 10 12 16 20 24 26 30 34 36 40 44 48 50 54
(((((x - ((x div 2) mod 2)) * 2) mod (((2 + 1) * 2) + 1)) + 1) div 2)
A179868: 0 1 1 2 1 2 2 3 1 2 2 3 2 3 3 0
((((((x mod 2) * x) + (x div 2)) mod (((2 + 1) * 2) + 1)) + 1) mod 2)
A071001: 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0
((((((x div (2 + 1)) + 2) * x) div (((2 + 1) * 2) + 1)) + 1) mod 2)
A258869: 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0
(((((x div 2) * x) div (((x * x) mod ((2 + 1) * 2)) + 1)) + 1) mod 2)
A333397: 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 1
((((x + 1) div ((x div (2 - (x mod ((0 - 2) - 2)))) + 1)) + 1) div 2)
A326038: 1 1 2 1 1 2 2 1 1 3 2 2 1 2 2 1
((((x * x) div ((2 - (x div ((x mod (0 - 2)) - 2))) + 1)) + 1) mod 2)
A342531: 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1
((((x + 1) div (((2 - ((x mod (2 + 1)) div 2)) * 2) + 1)) + 1) div 2)
A056138: 0 0 1 0 1 1 1 1 2 1 1 2 1 1 3 2
(((x mod (((x div ((((x div 2) mod 2) + 2) * 2)) * 2) + 1)) + 1) div 2)
A332548: 0 0 0 0 1 1 0 1 2 2 1 1 3 3 2 0
((((x * x) mod ((((((x mod 2) - 2) * 2) * 2) * 2) + 1)) + 1) mod 2)
A004601: 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1
(((x div (2 - (x mod (((((x mod 2) - 2) * 2) * 2) - 1)))) + 1) div 2)
A229969: 0 0 0 0 0 1 1 1 1 2 1 1 1 2 1 4
(((1 - x) mod ((((x * x) - 1) mod (((2 + 2) * 2) + 1)) + 1)) mod 2)
A288004-A128937: 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0
(((((x - ((2 - x) div 2)) * x) div (((2 + 2) * 2) + 1)) + 1) mod 2)
A071003-A071002: 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1
((((x + 2) mod (((x + 2) div ((x div (2 + 2)) + 2)) + 1)) + 1) div 2)
A227698: 0 1 1 1 0 1 1 1 1 1 0 1 1 2 0 1
((((((((x div 2) mod 2) + x) * x) + 1) div ((2 + 2) + 1)) + 1) mod 2)
A266666: 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1
(((x + 2) mod (((x - ((x mod 2) + 2)) mod ((2 + 2) + 1)) + 1)) div 2)
A332014: 1 1 0 0 0 0 1 2 0 0 0 0 0 0 0 1
((((x div (2 + 2)) + 1) mod (((1 - x) mod ((2 + 2) + 1)) + 1)) div 2)
A341840-A048113: 0 0 0 0 1 0 0 1 1 0 0 0 2 0 0 0
(((x - (x mod ((2 + 2) + 1))) * ((x div ((2 + 2) + 1)) + 1)) div 2)
A246839: 0 0 0 0 0 5 5 5 5 5 15 15 15 15 15 30
((((x div (2 + 2)) + 1) div (((x * x) mod ((2 + 2) + 1)) + 1)) mod 2)
A267841: 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0
((2 - ((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1))) div 2)
A307425-A299406: 1 1 1 0 1 1 1 ~1 0 1 1 0 1 1 1 ~1
(x mod ((((x mod (((x mod (2 + 2)) + 2) + 1)) mod (2 + 1)) + 1) * 2))
A307672: 0 1 2 1 0 1 2 3 2 1 0 5 0 1 2 1
((x - ((((x * x) mod (((x - 2) * 2) - 1)) mod (2 + 1)) - 1)) div 2)
A227386: 0 0 1 2 2 3 3 3 4 5 5 5 5 6 7 8
(x div ((x div (((((x div 2) * (x + 2)) + 1) mod (2 + 1)) + 1)) + 2))
A342656: 0 0 1 0 1 0 1 1 2 0 1 0 1 1 2 0
(((((((x * x) * x) + 2) div ((x div 2) + 1)) mod (2 + 1)) + 1) div 2)
A282343: 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1
((x - (((x - 1) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1))) div 2)
A234016: 0 0 1 1 1 2 3 3 3 4 4 4 5 6 7 7
(((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) * 2)
A200213: 0 0 0 0 0 2 0 2 0 2 0 4 0 2 2 2
(((((x * x) div (2 + 1)) + 1) mod (((x + 1) div (2 + 1)) + 1)) div 2)
A317683: 0 0 0 0 0 0 0 1 1 0 1 0 2 1 0 2
(1 - (x div (0 - (((x div 2) div (((x - 1) mod (2 + 1)) + 1)) + 2))))
A100678: 1 2 2 3 2 3 3 3 3 4 3 4 4 3 4 5
(((x + 1) div (((((x mod (2 + 2)) - 1) * 2) * (2 + 1)) - 1)) mod 2)
A267056: 1 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1
(((((((x div 2) + x) + 2) * ((x + 1) div 2)) * (2 + 1)) + 1) div 2)
A302393: 0 5 8 18 24 41 50 72 84 113 128 162 180 221 242 288
((x - ((x mod (((x mod ((2 + 2) * 2)) + 2) * (2 + 1))) - 1)) div 2)
A059107: 0 0 0 0 0 0 0 0 3 5 0 0 0 0 0 0
(((x * x) * (x * x)) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A070589: 0 1 16 35 26 27 8 9 2 29 18 13 36 41 6 25
((1 - (x mod ((((x div ((x mod 2) - 2)) + 2) div (2 + 1)) - 1))) div 2)
A293896: 0 0 0 1 0 1 0 1 0 2 0 1 0 1 1 2
((((x * x) * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A070606: 0 1 10 1 12 1 10 21 10 1 10 11 12 21 12 1
(2 - (((1 - ((x + 1) * x)) div (((2 + 2) * (2 + 1)) - 1)) mod 2))
A192393: 2 1 1 1 2 1 2 1 1 1 2 2 1 1 1 2
((((((x div (2 + 1)) * x) - (x mod (2 + 2))) div (2 + 1)) + 1) mod 2)
A178580: 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1
((((((x div 2) - (x mod 2)) * ((x div 2) + 2)) div (2 + 1)) + 1) div 2)
A026923: 0 0 1 0 1 1 3 2 4 3 6 5 8 7 11 9
(((x * 2) + 1) mod ((x div ((((x mod 2) + 2) * (2 + 1)) - 1)) + 2))
A282716: 1 1 1 1 1 1 1 1 2 1 1 2 1 0 1 1
(((x div 2) + 2) div ((x div ((((x mod 2) + 2) * (2 + 1)) - 1)) + 2))
A116543: 1 1 1 1 2 2 1 2 2 2 1 2 2 2 2 3
(((x mod (2 + 1)) - ((x + 1) mod (((x div 2) div (2 + 1)) + 1))) mod 2)
A104894-A104893: 0 1 0 0 1 0 1 1 1 0 0 0 1 1 0 1
(x - ((((x div 2) + x) div (((2 - (x mod 2)) * (2 + 1)) + 1)) * 2))
A276638: 0 1 2 1 4 3 4 3 6 3 6 3 8 5 8 5
(2 - ((2 - x) div ((x div (((2 - (x mod 2)) * (2 + 1)) + 1)) + 2)))
A026099: 1 2 2 3 3 3 4 4 4 4 5 5 6 5 5 5
((x mod 2) - ((((x * 2) mod (2 - ((1 - x) div (2 + 1)))) - 1) div 2))
A240592: 1 2 0 2 0 1 1 1 0 0 1 0 1 1 1 1
(((((x + 1) * 2) - (x div (2 + 1))) * ((x div (2 + 1)) + 1)) div 2)
A212985: 1 2 3 7 9 11 18 21 24 34 38 42 55 60 65 81
(2 - (((((2 + 2) + 1) * (x + 2)) div ((x div (2 + 1)) + 1)) mod 2))
A156263: 2 1 2 2 1 1 1 1 2 1 1 2 2 1 2 2
(((((x div (2 + 1)) mod (2 + 1)) + 2) mod ((x mod (2 + 1)) + 1)) + 2)
A102640: 2 2 4 2 3 2 2 2 3 2 2 4 2 3 2 2
(((x - ((1 - x) div ((x div 2) + 2))) * ((x mod (2 + 1)) - 1)) mod 2)
A156729: 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1
(((((((x + 2) * (x + 2)) * 2) + x) * ((x + 2) + 1)) + 1) * 2)
A165676: 50 154 342 638 1066 1650 2414 3382 4578 6026 7750 9774 12122 14818 17886 21350
(((((x + 2) * x) div (((2 + 1) * 2) + ((x div 2) + 1))) + 1) div 2)
A242976: 0 0 1 1 1 2 2 3 4 5 5 6 6 8 8 9
((x mod 2) - ((x div (((x mod (2 + 2)) mod ((x div 2) + 1)) + 1)) mod 2))
A158924: 0 0 0 0 0 1 0 0 0 1 ~1 1 0 1 0 0
(((((((1 - x) mod (2 + 1)) + 2) - x) mod ((x div 2) + 1)) + 1) mod 2)
A156254: 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1
(((x + 2) mod ((((x div (2 + 2)) + x) mod ((x div 2) + 1)) + 1)) + 2)
A130192: 2 2 2 3 2 2 2 2 2 3 2 3 2 2 2 4
(((((x * x) * 2) div ((((x * x) div (2 + 2)) + x) + 1)) + 1) * 2)
A060659: 2 4 6 8 8 10 10 10 12 12 12 12 12 14 14 14
((((1 - (((x * x) * x) mod ((2 + 2) + 1))) mod (x + 1)) + 1) mod 2)
A181115: 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0
((((((x - 2) * x) div ((x div (2 + 2)) + 1)) div (x + 1)) + 1) + 2)
A182021: 3 2 3 3 3 4 4 5 4 5 5 5 5 5 5 6
(((x - 1) mod (((((x - 1) div 2) * (2 + 1)) mod (x + 1)) + 1)) div 2)
A330657: 0 0 0 1 1 0 2 0 0 1 0 1 1 1 0 1
(((((x * x) * x) mod (2 - (x div ((2 + 2) * (0 - 2))))) + 1) div 2)
A235987: 0 1 1 0 1 1 0 1 1 1 0 2 0 1 0 2
(((x - ((((x div (2 + 2)) mod 2) + (x div 2)) div (0 - 2))) + 1) * 2)
A285626: 2 4 8 10 14 16 18 20 22 24 28 30 34 36 38 40
(((x div ((2 + 2) + 1)) - ((x div (2 + 1)) div ((0 - 2) - 1))) * 2)
A156726: 0 0 0 2 2 4 4 4 4 4 6 6 8 8 8 10
((x mod ((x mod ((((x + 2) div ((2 + 2) + 1)) + 1) * 2)) + 1)) div 2)
A173440: 0 0 0 1 0 0 0 1 1 0 0 2 0 0 0 3
((1 div ((((2 - x) mod (((2 + 2) * (2 + 1)) - 1)) * 2) - 1)) + 2)
A194306: 2 3 1 2 2 2 2 2 2 2 2 2 3 1 2 2
(((x div (((x - (2 + 1)) mod ((x div (2 + 1)) + 1)) + 2)) + 1) mod 2)
A267152: 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0
((((((x + 2) div (2 + 1)) * ((x div (0 - 2)) - 1)) div 2) + 1) mod 2)
A325899: 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0
((x mod (((x div (((((x div 2) mod 2) + 1) * 2) + 1)) * 2) + 1)) div 2)
A136438: 0 0 0 0 0 1 0 0 1 1 0 0 1 2 2 0
(((x mod (1 - (((1 - x) div (((2 + 1) * 2) + 1)) * 2))) + 1) div 2)
A236532: 0 0 1 0 1 1 0 1 1 2 0 1 1 2 2 0
((((x - (x div ((((x + 2) mod (2 + 2)) + 2) + 1))) div 2) + 1) mod 2)
A127015: 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1
((x - ((((x div 2) mod ((x mod ((2 + 2) * 2)) + 1)) div 2) + 1)) mod 2)
A030658: 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1
((((((x div 2) - 1) mod (((x mod (2 + 2)) * 2) - 1)) div 2) + 1) * 2)
A307378: 2 2 2 2 2 2 4 4 2 2 2 6 2 2 2 2
((x mod ((x div ((((2 - x) + 1) mod ((2 + 2) + 1)) + 2)) + 1)) div 2)
A035582: 0 0 0 0 0 0 0 0 1 0 0 1 1 3 1 1
((((x - (((x div (2 + 1)) * 2) mod ((2 + 2) + 1))) div 2) + 1) div 2)
A239500: 0 0 1 0 1 1 1 1 1 2 2 3 2 3 3 4
((2 - (x mod (((2 - ((x * 2) mod ((2 + 2) + 1))) * 2) + 1))) div 2)
A318277: 1 1 1 1 1 1 1 2 0 1 1 1 1 0 1 1
(x div (((x * 2) div ((x mod (((x mod (2 + 2)) + 1) * 2)) + 1)) + 2))
A124762: 0 0 0 1 0 0 0 2 0 0 1 1 0 0 1 3
(((x + 1) mod (((x div (((2 - (x mod 2)) * 2) + 1)) * 2) + 1)) div 2)
A250213: 0 0 0 0 0 0 0 1 0 1 0 2 1 2 0 2
((x mod ((x div (((x mod ((2 + 2) + 1)) mod (2 + 1)) + 2)) + 1)) div 2)
A036864: 0 0 0 0 0 1 0 0 1 0 2 1 0 3 2 3
((x - (((x div 2) + 2) div ((((x - 1) mod (2 + 1)) * 2) + 1))) mod 2)
A309218: 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0
(((x - (((x - ((x div 2) div (0 - 2))) div (2 + 1)) * 2)) + 1) * 2)
A267654: 2 4 2 4 6 4 6 4 6 8 6 8 6 8 6 8
(((x + 2) mod ((((((x - 1) div 2) div 2) mod (2 + 1)) * 2) + 1)) div 2)
A029431: 1 0 0 0 0 0 1 0 0 0 1 1 2 0 0 0
((x mod ((((((x * x) * x) div (2 + 2)) mod (2 + 1)) * 2) + 1)) div 2)
A227189-A227186: 0 0 1 0 0 1 0 0 1 2 0 0 0 0 2 0
((1 - (x mod ((x div ((((2 - x) div 2) div (2 + 1)) - 2)) - 1))) div 2)
A324966-A005090: 0 1 0 1 1 1 0 1 0 2 1 1 0 1 1 1
((((((x * x) * (x - 1)) div 2) - 1) div (((2 + 1) * 2) + 1)) mod 2)
A190897: 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0
((x div 2) - ((x - 1) div (((x + 1) div (((2 + 1) * 2) + 1)) + 2)))
A029215: 1 0 1 0 1 0 2 1 2 2 2 2 3 3 4 4
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 1) * 2) + 1) * 2))
A070637: 0 1 8 1 8 1 8 7 8 1 8 1 8 1 0 1
(1 - (((x mod 2) - (((x + 2) * x) div (((2 + 1) * 2) + 1))) div 2))
A029020: 1 1 2 2 3 3 4 5 7 8 10 11 13 14 17 19
(((x div (((((x - 1) div (2 + 1)) + x) mod (2 + 1)) + 2)) + 1) mod 2)
A275601: 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0
((x mod (((x * x) mod ((((x mod 2) * x) * (2 + 1)) + 2)) + 1)) + 2)
A108077: 2 3 2 5 2 7 2 5 2 11 2 13 2 3 2 17
(((((x * 2) mod (((2 + 2) * 2) + (x div (2 + 1)))) div 2) + 1) mod 2)
A176330: 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 1
(((x - 1) mod (((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) + 1)) div 2)
A067150: 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 2
(((((x * 2) * 2) + 1) mod (x - (((x div (2 + 1)) * 2) - 1))) div 2)
A186230: 0 0 0 0 1 0 0 0 1 0 0 1 2 2 0 0
(((((1 - x) mod (2 - (((2 - x) * x) div (2 + 1)))) div 2) + 1) div 2)
A000933: 0 0 0 0 1 1 1 2 3 4 5 6 8 10 11 13
(((((((2 - x) + 1) * (2 + 2)) mod ((x div 2) + 1)) div 2) + 1) div 2)
A340391: 0 0 0 0 1 0 0 0 0 0 1 1 2 1 1 0
((((((x * x) div ((x + 2) + 2)) * ((x div 2) + 1)) div 2) + 1) mod 2)
A179763: 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1
((x + 1) div ((((x + 2) + 1) div ((((x mod 2) + 1) * 2) + 1)) + 2))
A245661: 0 1 1 1 1 2 1 2 1 2 1 3 1 2 2 3
((((((x + 1) * x) * (2 + 1)) + 1) * (((x + 1) * 2) + 1)) div 2)
A024215: 1 17 66 166 335 591 952 1436 2061 2845 3806 4962 6331 7931 9780 11896
(((1 - ((x div 2) div ((x mod 2) + 1))) mod (((x + 1) * 2) + 1)) mod 2)
A033772: 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1
(x div (x - ((2 - (((x * 2) - 1) mod (((x + 1) div 2) + 1))) div 2)))
A286419: 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1
((((x + 1) div 2) - ((x * 2) div ((x div ((0 - 2) - 2)) - 1))) div 2)
A269371: 0 1 1 2 3 3 3 4 5 5 5 6 6 6 6 7
((((x + 1) div ((2 - ((x mod ((2 + 2) + 1)) mod 2)) + 2)) + 1) mod 2)
A267136: 1 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1
(x - ((x mod 2) - ((x mod (((x mod ((2 + 1) * 2)) * 2) + 1)) mod 2)))
A084689: 0 1 2 3 4 5 6 7 9
A180199-A180198: 0 1 2 3 4 5 6 7 9 8 11 10 12 13 14 15
((x mod (((((x * 2) - 1) mod ((x div (2 + 1)) + 2)) + 2) + 1)) div 2)
A240857: 0 0 1 1 0 1 0 1 1 2 1 1 2 0 1 1
((((((x div ((0 - 2) - 1)) * ((x * 2) + 1)) div 2) div 2) + 1) mod 2)
A004539: 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0
(((((((x * x) * (x * x)) mod ((x * 2) - 1)) div 2) div 2) + 1) mod 2)
A172099: 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0
(((((x + 2) mod (((x div 2) div ((x mod 2) + 1)) + 2)) div 2) + 1) div 2)
A260803: 0 0 0 0 1 0 1 0 1 1 1 0 2 0 2 1
(((((x - 1) * x) div (2 + 2)) * ((((x + 1) div 2) div 2) + 1)) + 2)
A302613: 2 2 2 4 8 12 16 32
((((((1 - ((x div (2 + 1)) * 2)) * (x - 1)) div 2) div 2) + 1) mod 2)
A093692: 0 1 1 0 0 0 1 0 1 1 1 0 1 0 0 1
(((((((x div 2) div (2 + 1)) + x) * ((x - 1) div 2)) div 2) + 1) mod 2)
A189141: 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0
(1 - (((x * x) mod ((((x - 1) mod ((0 - 2) - 2)) * 2) + 1)) div 2))
A342477: 1 1 2 1 1 1 3 2 1 1 1 2 1 1 3 1
((x mod (((((x * 2) mod ((x div (2 + 1)) + 2)) div 2) + 2) + 1)) div 2)
A179952: 0 0 1 0 0 1 0 1 1 0 0 1 0 0 2 1
(((((2 - x) div ((x div ((x mod (2 + 2)) + 2)) + 2)) mod 2) + 1) * 2)
A194688: 4 2 2 4 4 4 2 2 4 2 2 4 2 2 4 4
((((((x div 2) * x) div 2) + 1) mod ((((2 + 2) * 2) * 2) + 1)) mod 2)
A143262: 1 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0
((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) + 1) * 2))
A070617: 0 1 32 5 4 31 24 11 26 25 6 27 20 13 12 19
((((x + 1) div (((x div 2) mod ((x mod (2 + 2)) + 2)) + 2)) + 1) div 2)
A104484: 0 1 1 1 1 1 1 1 2 2 2 3 3 4 2 2
((((x + 1) div 2) div ((x div (((x mod (2 + 2)) + 2) + 2)) + 1)) mod 2)
A123506: 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0
((x - (((((x + 2) * x) mod (((x div 2) + 2) + 2)) div 2) - 1)) mod 2)
A186447: 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1
(((x div (2 - (((0 - x) mod (((x div 2) mod 2) + 2)) - 2))) + 1) div 2)
A131810: 0 0 0 0 1 1 1 2 1 2 3 2 2 2 2 2
((x - (((((((x + 2) * x) - (x div 2)) div 2) div 2) div 2) + 1)) mod 2)
A282339: 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 1
((((x - ((x - ((x + 2) mod ((x mod 2) + 2))) div 2)) div 2) + 1) * 2)
A289256: 2 2 2 4 4 4 4 6 6 8 6 8 8 8 8 10
(((x div (((x * x) mod ((x div ((x mod 2) + 2)) + 2)) + 2)) + 1) div 2)
A338776: 0 0 0 1 1 1 1 1 1 2 1 2 3 2 1 3
((((((x * x) + 2) * x) * (x + 1)) mod (((2 + 2) * 2) + 1)) - 2)
A158137: ~2 4 ~2 4 ~2 ~2 1 1 ~2 ~2 4 ~2 4 ~2 ~2 1
((((x mod ((2 - (x mod 2)) + 1)) div 2) * (((2 + 2) * 2) + 1)) + 2)
A283454: 2 2 11 2 2 2 2 2 11 2 2 2 2 2 11 2
(2 - (((((2 - x) mod (2 + 2)) + x) mod (((2 + 2) * 2) + 1)) div 2))
A037867: 1 1 1 ~1 ~1 ~1 ~1 2 2 2 2 0 0 0 0 2
(((((x + 2) + 2) * (2 + 1)) - (x div (((2 + 2) * 2) + 1))) div 2)
A248178: 6 7 9 10 12 13 15 16 18 19 20 22 23 25 26 28
(((x mod (2 + 1)) - ((x div ((0 - (x mod (2 + 2))) - 2)) - 1)) div 2)
A282518: 0 1 2 1 2 2 1 2 3 2 2 3 3 3 3 2
(2 - ((x mod (((((x mod 2) - 2) + (x mod (2 + 2))) * 2) + 1)) div 2))
A194326: 2 2 2 1 3 2 2 1 3 2 2 2 2 2 2 2
((((((x + 2) * x) - (((2 - x) * x) div (2 + 2))) div 2) + 1) div 2)
A183136: 0 1 2 4 7 10 14 18 23 29 35 42 50 58 67 76
(((((((((x + 2) * 2) + 1) * x) * (x + 2)) div 2) div 2) + 1) div 2)
A007518: 0 3 9 21 39 66 102 150 210 285 375 483 609 756 924 1116
(((((((x div (2 + 1)) * (x - 2)) - (x div 2)) div 2) div 2) + 1) mod 2)
A247795: 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1
((2 - ((x + 1) mod ((((1 - x) div ((x div 2) + 2)) * 2) - 1))) div 2)
A115514: 1 1 1 2 1 1 2 2 1 1 3 2 2 1 1 3
(x div (((x div (((x + 1) mod ((2 - (x mod 2)) + 2)) + 2)) + 1) * 2))
A051764: 0 0 1 0 1 0 1 1 1 1 1 0 1 1 2 1
((x - 1) div ((x - ((((x + 1) div ((x mod 2) + 2)) * 2) - 1)) * 2))
A063277: ~1 0 0 0 1 1 2 0 3 1 4 1 5 1 6 1
((((((x div 2) - (x mod 2)) + 2) mod (((x mod 2) + 2) + 2)) + 1) div 2)
A190427: 1 1 2 1 0 2 1 2 1 0 2 1 0 1 1 2
((((x + 2) * x) mod ((x div ((x div ((x mod 2) + 2)) + 2)) + 1)) * 2)
A096158: 0 0 0 2 0 2 0 2 0 2 0 4 0 0 0 0
((x - (((x div (2 + 2)) - 1) div (((x - 1) mod (2 + 2)) + 1))) mod 2)
A129174: 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1
(((x + 1) * 2) - ((x div ((((2 - x) div 2) mod (2 + 2)) + 1)) mod 2))
A013952: 2 3 6 8 9 11 14 15 18 19 22 24 25 28 30 31
(((((x * 2) div (((x mod 2) * 2) + 1)) + 1) mod ((2 + 2) + 1)) mod 2)
A243753: 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 1
(((((((2 + 2) * 2) * 2) + 1) * (x + 1)) div ((2 + 2) + 1)) * 2)
A286927: 6 12 20 26 34 40 46 54 60 68 74 80 88 94 102 108
((x - (((((x mod 2) + x) + 1) * (0 - 2)) div ((2 + 2) + 1))) * 2)
A284753: 2 6 8 10 12 16 18 22 24 28 30 34 36 38 40 44
(((x + 1) * 2) - (((x - (x div (0 - 2))) div ((2 + 2) + 1)) mod 2))
A206910: 2 4 6 7 9 11 13 16 18 20 21 23 25 28 30 32
((x + 1) mod ((((x div ((0 - 2) - 2)) - 2) mod ((2 + 2) + 1)) + 2))
A215151: 1 2 3 0 1 0 1 2 0 0 1 0 1 2 3 4
(x - (((2 div (x - (((2 + 2) * 2) * 2))) * ((2 + 2) + 1)) * 2))
A174140: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 35
(((x - ((x * x) mod (((x + 2) + 2) * 2))) mod ((2 + 2) + 1)) div 2)
A084440: 0 0 1 2 2 1 0 1 1 0 2 0 0 0 1 0
(((x mod 2) - ((((1 - x) * x) div (2 + 2)) div ((2 + 2) + 1))) div 2)
A240864: 0 0 0 1 0 1 1 2 1 2 2 3 3 4 5 6
(((x * 2) - ((x - (((x - 1) * x) div 2)) div ((2 + 2) + 1))) div 2)
A067570: 0 1 2 3 4 5 7
A062469: 0 1 2 3 4 5 7 8 10 12 13 15 17 19 22 24
(((x * 2) - (((2 mod (x + 1)) - (x * 2)) div ((2 + 2) + 1))) + 2)
A187416: 2 5 7 9 12 14 16 19 21 24 26 28 31 33 36 38
((((((x + 1) * x) div 2) * (2 + 1)) + 1) mod (((2 + 2) + 1) * 2))
A213472: 1 4 0 9 1 6 4 5 9 6 6 9 5 4 6 1
((x - (x div (((2 + 2) * (0 - 2)) - 1))) + (((2 + 2) + 1) * 2))
A329448: 10 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27
((x - ((x div (0 - 2)) div ((2 + 2) + 1))) + (((2 + 2) + 1) * 2))
A288040-A280824-A139819-A139704-A043638-A031955-A029742: 10 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27
((((((2 + 1) * x) + 2) * (x + 1)) div 2) mod (((2 + 2) + 1) * 2))
A161462: 1 5 2 2 5 1 0 2 7 5 6 0 7 7 0 6
(((((x + 2) + 2) + 2) * ((x mod 2) + 2)) mod (((2 + 2) + 1) * 2))
A172430: 2 1 6 7 0 3 4 9 8 5 2 1 6 7 0 3
((1 - ((((x mod 2) + x) * 2) - (x div 2))) mod (((2 + 2) + 1) * 2))
A194642: 1 7 8 4 5 1 2 8 9 5 6 2 3 9 0 6
(((x div (((2 + 2) * (2 + 1)) - 1)) + x) + (((2 + 2) + 1) * 2))
A110429: 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26
((((x + 1) * 2) * ((2 + 2) + 1)) + (x mod (((2 + 2) + 1) * 2)))
A104341: 10 21 32 43 54 65 76 87 98
A065438: 10 21 32 43 54 65 76 87 98 109 110 121 132 143 154 165
(((x + 1) mod (((2 + 2) + 1) * 2)) * (x mod (((2 + 2) + 1) * 2)))
A118373-A077252: 0 2 6 12 20 30 42 56 72 0 0 2 6 12 20 30
((((((2 + 2) * 2) + x) + 2) * 2) - (x mod (((2 + 2) + 1) * 2)))
A007930: 20 21 22 23 24 25 26 27 28 29 40 41 42 43 44 45
(x - ((((x mod (((2 + 2) * 2) + 1)) - x) * ((2 + 2) + 1)) div 2))
A004848: 0 1 2 3 4 5 6 7 8 32 33 34 35 36 37 38
((((((x * x) * 2) div ((x div 2) + 1)) + x) mod ((2 + 2) + 1)) div 2)
A263635: 0 1 0 1 2 0 2 0 1 0 1 0 1 0 1 0
((x - (((0 - ((2 + 2) mod (x + 1))) - x) div ((2 + 2) + 1))) + 2)
A047839: 2 4 5 6 8 9 10 12 13 14 15 16 18 19 20 21
(((((x - 1) div (2 + 1)) + ((x - 1) * x)) mod ((2 + 2) + 1)) mod 2)
A011659: 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0
((x - ((((x div ((2 + 2) + 1)) mod 2) - x) * ((2 + 2) + 1))) * 2)
A059691: 0 12 24 36 48 50 62 74 86 98 120 132 144 156 168 170
(x - (((x div (((2 + 2) * 2) + 1)) + (x div ((2 + 2) + 1))) * 2))
A308937: 0 1 2 3 4 3 4 5 6 5 4 5 6 7 8 7
((1 - (((x * x) + 2) * (x + 2))) mod ((x div ((2 + 2) + 1)) + 2))
A209318: 1 0 1 0 1 1 0 1 1 0 1 2 1 0 1 2
((((x + 1) div ((2 + 2) + 1)) + x) + ((x div ((2 + 2) + 1)) * 2))
A047607: 0 1 2 3 5 8 9 10 11 13 16 17 18 19 21 24
((((x div ((2 + 2) * 2)) + 1) * 2) div ((x mod ((2 + 2) + 1)) + 2))
A029412: 1 0 0 0 0 1 0 0 0 0 2 1 1 0 0 2
((x + 2) div (2 - (x div (1 - (((x * x) mod ((2 + 2) + 1)) + 2)))))
A047070: 1 1 1 1 1 1 1 2 2 1 1 1 2 3 1 1
(((x + 2) div (((((x + 1) mod (2 + 1)) + x) mod (2 + 2)) + 1)) mod 2)
A266669: 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1
((x + 2) - ((x - (((2 + 2) + 1) mod ((x div (2 + 2)) + 1))) div 2))
A177876: 2 3 3 4
A123387: 2 3 3 4 5 5 6 6 7 8 8 9 9 9 10 10
(1 - ((((x mod ((2 + 1) * 2)) + 2) div ((x div (2 + 2)) + 1)) div 2))
A320857: 0 0 ~1 ~1 0 0 1 1 1 1 0 0 1 1 1 1
(((((x * 2) - (x div (2 + 2))) + 2) * ((x div (2 + 2)) + 1)) div 2)
A212989: 1 2 3 4 9 11 13 15 24 27 30 33 46 50 54 58
(x - ((((x + 1) div 2) div 2) - (x - (((x div (2 + 2)) - 1) div 2))))
A320472: 1 3 5 6 7 9 11 12 14 16 18 19 20 22 24 25
((x - (1 mod ((((x + 2) * 2) - ((x * x) div (2 + 2))) - 1))) + 2)
A124868: 1 2 3 4 5 6 7 8 9 11 13 17
(x - (((((((2 - (x div (2 + 2))) div 2) * x) div 2) div 2) + 1) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A247760-A247750: 0 1 2 3 4 5 6 7 8 9 10 11 13 15 16 17
(((((((((x div 2) mod 2) + x) div 2) + 2) * (x + 2)) div 2) + 1) div 2)
A030050: 1 2 3 5 6 7 10 14 15
(((((x div 2) * x) * ((x * 2) + 1)) div (((x + 2) + 2) + 1)) mod 2)
A324967: 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0
((((((x div 2) * (2 + 1)) + x) + 2) * (((x div 2) * 2) + 1)) - 2)
A303299: 0 1 19 22 58 63 117 124 196 205 295 306 414 427 553 568
(((((((x + 2) * x) + 1) * (x + 1)) - ((x div 2) mod 2)) + 1) div 2)
A212747: 1 4 13 32 63 108 171 256 365 500 665 864 1099 1372 1687 2048
((x + 2) div ((((x * x) div (2 + 2)) mod (((x mod 2) + 2) + 1)) + 2))
A091335: 1 1 1 1 2 1 4 4 3 5 4
(((x - ((((1 - x) * 2) div ((2 + 2) + 1)) - 1)) * (2 + 1)) div 2)
A189387: 1 3 6 7 10 12 13 16 18 21 22 24 27 28 31 33
((x - (((((x div 2) * x) div ((2 + 2) + 1)) + 1) mod (2 + 1))) mod 2)
A266619: 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0
(x - ((x - ((x div (((x - 1) mod (2 + 1)) + 1)) mod (2 + 1))) div 2))
A249037: 0 1 2 2 3 4 4 4 5 5 6 7 7 7 8 9
(((x + 1) div 2) div ((x mod (((x mod (2 + 1)) + 1) * (2 + 1))) + 2))
A239689: 0 0 0 1 0 0 1 1 0 2 0 1 3 2 1 4
(((((((x - 2) * x) * ((x - 1) div 2)) div 2) + 1) * (2 + 1)) div 2)
A110864: 1 1 1 3 7 24
((((x - (((2 - x) div ((2 + 2) * 2)) * 2)) - 1) div (2 + 1)) mod 2)
A120527: 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0
(x div (((2 - x) mod (((((x mod 2) + 2) * 2) + 1) * (2 + 1))) + 2))
A034390: 0 0 1 0 0 0 0 0 0 0 1 0 1 1 2 1
((1 - ((x div (((x mod ((x mod 2) + 2)) - 2) - 1)) div (2 + 1))) mod 2)
A025885: 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1
((((((x * x) div 2) * (2 + 1)) div ((2 + 2) + 1)) * (2 + 1)) div 2)
A033442: 0 0 1 3 6 10 15 21 28 36 45 54 64 75 87 100
(1 - (((x mod 2) - ((x div (((x div 2) mod 2) + 1)) div (2 + 1))) div 2))
A295218: 1 1 1 1 2 1 2 1 2 2 2 1 3 3 2 2
(((((x div 2) div (2 + 1)) + ((x + 1) * (2 + 1))) * (2 + 1)) div 2)
A330179: 4 9 13 18 22 27 33 37 42 46 51 55 61 66 70 75
(((x - (((x mod ((x div 2) + 1)) div 2) mod (2 + 1))) div (2 + 1)) * 2)
A073504: 0 0 0 2 2 2 2 4 4 4 4 6 6 8 8 10
(((x - (((((2 - x) div 2) * x) div 2) div (2 + 1))) div (2 + 1)) * 2)
A183002: 0 0 0 2 2 4 4 6 8 10 10 14 14 16 18 22
(x - ((((x - ((x div 2) mod 2)) + (x div (2 + 1))) div (2 + 1)) * 2))
A266161: 0 1 2 1 2 1 2 3 2 1 2 3 2 3 4 3
(((x - (((((2 - x) div (2 + 2)) - x) div 2) - 1)) * (2 + 1)) div 2)
A231407: 1 4 6
A292660: 1 4 6 9 12 13 16 19 21 24 25 28 31 33 36 39
((((x - ((x div 2) div (2 + 1))) div 2) + ((x + 1) * (2 + 1))) * 2)
A189793: 6 12 20 26 34 40 46 54 60 68 74 82 88 94 102 108
((((1 - (x div (2 + 2))) mod (2 + 1)) + ((x + 1) mod (2 + 1))) div 2)
A318133: 1 1 0 1 1 0 0 1 1 1 2 1 1 1 0 1
((((x + 1) div ((x div (2 + 2)) + 1)) + ((x - 1) div (2 + 1))) div 2)
A326370: 0 1 1 2 1 2 2 3 2 2 3 3 3 3 3 4
((((((x div 2) - (x mod 2)) div 2) + 1) * ((x - 1) mod (2 + 1))) div 2)
A029300: 1 0 0 1 0 0 2 0 1 2 0 1 4 0 2 4
(((x div ((((x mod 2) + 2) + 2) + 2)) + ((x - 1) mod (2 + 1))) div 2)
A025853: 1 0 0 1 0 0 1 0 1 1 0 1 2 0 1 2
(((x - ((((x - 1) mod ((2 + 2) + 1)) - 1) div 2)) div (2 + 1)) + 2)
A091497: 1 2 2 3 3 3 4 4 4 4 5 6 6 6 6 6
((((((((2 + 2) * 2) * 2) mod (x + 1)) - 1) div 2) div (2 + 1)) + 2)
A225843: 1 1 2 1 2 2 2 1 3 2 2 2 2 2 2 1
(1 - ((x - ((((x * x) div ((2 + 2) + 1)) + 2) div (2 + 1))) div 2))
A016409-A016402-A016382-A016369-A016363-A014023: 1 1 0 0 0 0 0 ~1 ~1 0 0 0 0 0 1 1
((((((2 - x) mod ((x mod (2 + 2)) + 2)) div 2) * 2) mod (2 + 1)) * 2)
A005888-A005871: 0 0 0 2 0 0 0 0 0 4 0 0 0 0 0 4
((2 - ((x * x) div ((x - 2) - (((2 + 2) * 2) * (2 + 1))))) div 2)
A239905: 1 1 1 1 1 2 2 2 3 3 4 5 6 7 9 11
(x - ((x - ((((x + 2) div (2 + 1)) mod (2 + 2)) mod (2 + 1))) div 2))
A003002: 0 1 2 2 3 4 4 4 4 5 5 6 6 7 8 8
(x - ((((x + 2) + 2) div ((x div 2) - ((2 + 2) * (2 + 1)))) * 2))
A098908: 2 3 4 5 6 7 10 11 12 13 14 17 18 19 22 23
((x div 2) div (((((x * 2) + 1) * x) mod ((2 + 2) * (2 + 1))) + 2))
A285118: 0 0 0 0 1 0 0 0 0 0 0 1 3 1 0 0
(x - (((((x mod ((2 + 2) * 2)) - x) * (2 + 2)) div (2 + 1)) * 2))
A024645: 0 1 2 3 4 5 6 7 30 31 32 33 34 35 36 37
((x - (((x mod ((2 + 1) * 2)) - ((x + 2) * 2)) div (2 + 1))) * 2)
A271346: 4 6 8 12 14 16 24 26 28 32 34 36 44 46 48 52
(((x + 1) mod 2) - (((((1 - x) * (x div 2)) div 2) div (2 + 1)) mod 2))
A284316: 1 0 0 ~1 0 0 0 ~1 0 0 1 ~1 0 0 1 ~1
(2 - ((0 - (((((x * x) div (2 + 2)) + x) div 2) div (2 + 1))) div 2))
A120203: 2 2 2 2 3 3 3 4 4 4 5 5 6 7 7 8
((((x - ((1 - ((2 + 2) * 2)) * 2)) * (x + 2)) div (2 + 1)) + 2)
A006621: 11 17 23 30 38 46 55
(x - (((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) * 2))
A123066: 0 1 2 3 4 3 4 5 6 5 6 5 6 5 4 5
((((((x + 1) * 2) * ((2 + 2) + 1)) + (x div 2)) * (2 + 1)) div 2)
A330175: 15 30 46 61 78 93 109 124 141 156 172 187 204 219 235 250
((((x * 2) + 1) * 2) - ((x - ((1 - (x div 2)) div (2 + 1))) div 2))
A184621: 2 6 9 13 16 19 23 26 30 33 36 40 43 47 50 54
((((x - 2) div ((x div 2) + 2)) + 2) - (((x div 2) div (2 + 1)) mod 2))
A229895: 1 1 2 2 2 2 1 2 2 2 2 2 3 3 3 3
((x * x) - (((((1 - (x * x)) * (x * x)) div 2) div (2 + 1)) div 2))
A006008: 0 1 5 15 36 75 141 245 400 621 925 1331 1860 2535 3381 4425
(x mod (((((x * x) * x) - 1) mod ((x div 2) + 1)) + ((2 + 1) * 2)))
A054634: 0 1 2 3 4 5 6 7 1 0 1 1 1 2 1 3
((x - (((1 - (x div 2)) div ((2 + 2) + 1)) * 2)) mod ((2 + 1) * 2))
A014588: 0 1 2 3 0 1 2 3 4 5 0 1 2 3 0 1
((x * 2) - ((x + 2) div ((((x - 1) div 2) div 2) - ((2 + 1) * 2))))
A082767: 1 3 5 7 9 12 14 16 18 21 23 26 28 31 34 36
((x - ((x * 2) div ((x div ((0 - 2) - 2)) - 2))) + ((2 + 1) * 2))
A138890: 6 8 10 11 13 14 15 17 18 19 20 22 23 24 25 26
((x * 2) div (((((x + 1) mod ((2 + 2) * 2)) + x) div (2 + 1)) + 2))
A340500: 0 0 1 1 1 2 2 3 3 3 3 3 3 3 3 4
(x div ((x div ((((1 - x) mod (2 + 1)) + 1) + (x div (2 + 1)))) + 2))
A147844: 0 0 1 1 1 1 2 1 2 3 2 3 3 3 3 3
(x - (((((x div ((2 + 2) * 2)) + 2) + 1) * (x div (2 + 1))) div 2))
A061295: 0 1 2 2 3 4 3 4 4 3 4 5 4 5 6 5
(x - (((2 - (x div ((2 + 2) * (0 - 2)))) * (x div (2 + 1))) div 2))
A061282: 0 1 2 2 3 4 3 4 5 3 4 5 4 5 6 5
((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + (x div (2 + 1))) * 2)
A211512: 0 0 0 2 2 2 6 6 6 8 8 8 14 14 14 16
(((((((2 + 1) * x) + 2) * (x + 2)) div 2) - (x div (2 + 1))) div 2)
A322598: 1 3 8 13 20 29 39 50 64 78 94 112 131 151 174 197
((((2 - ((x div 2) + (x * 2))) div (x + 2)) + (x div (2 + 1))) mod 2)
A189921: 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0
((((((x - 1) * x) div 2) div (2 + 1)) + 2) div ((x div (2 + 1)) + 2))
A029124: 1 1 1 1 1 1 1 2 2 2 3 4 4 4 5 5
(((x mod 2) - ((x div (((0 - 2) - 2) - 1)) - (x mod (2 + 1)))) div 2)
A304093: 0 1 1 1 1 2 1 2 2 1 1 3 1 2 2 2
((x + 2) - ((x mod ((((x div 2) mod 2) + 2) + (x mod (2 + 1)))) div 2))
A334819: 2 3 3 5 6 7 8 8 10 11 11 13 14 15 14 17
((((x - 1) mod (2 + 1)) + (x div (2 + 1))) div ((x mod (2 + 1)) + 2))
A029303: 1 0 0 1 0 0 2 0 0 2 1 1 3 1 1 3
((2 - (x mod ((((x div 2) * x) mod 2) + 2))) mod ((x mod (2 + 1)) + 2))
A101674: 0 1 2 0 2 1 0 1 2 1 2 0 0 1 2 0
(((((x div (2 + 1)) mod (2 + 1)) div 2) * 2) + ((x mod (2 + 1)) div 2))
A289814: 0 0 1 0 0 1 2 2 3 0 0 1 0 0 1 2
(((((((((x * 2) * 2) + 1) * x) - 2) * x) * x) div (2 + 1)) + 2)
A093504: 2 3 23 113
((((((x * x) div 2) * ((2 + 2) + 1)) + (x * x)) * (2 + 1)) div 2)
A195049: 0 1 21 43 84 127 189 253 336 421 525 631 756 883 1029 1177
((((((((x * 2) * (2 + 1)) + 2) * (2 + 1)) + x) * 2) + 1) * 2)
A136293: 26 102 178 254 330 406 482 558 634 710 786 862 938 1014 1090 1166
(((x * x) div ((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1)) + 2)
A060207: 2 3 4 5 6 7 7 8 8 8 9 9 9 10 10 10
(((x + 1) * 2) - ((((((x div (2 + 2)) mod 2) - x) div 2) - 1) div 2))
A306683: 3 5 7 10 12 14 16 18 21 23 25 28 30 32 34 36
((((((((x + 2) + 2) + 2) * 2) + 1) * x) * ((x + 2) + 1)) div 2)
A130862: 0 30 85 171 294 460 675 945 1276 1674 2145 2695 3330 4056 4879 5805
((((((x + 2) * (x + 1)) * (2 + 1)) - 1) * ((x * 2) + 1)) div 2)
A269232: 2 25 87 206 400 687 1085 1612 2286 3125 4147 5370 6812 8491 10425 12632
(((2 - x) div (2 - (x div ((0 - 2) - 2)))) + (((x * 2) + 1) * 2))
A288205: 3 6 10 13 17 21 25 28 32 36 40 44 48 52 56 59
((((x - ((2 - (x div 2)) div 2)) div 2) div 2) + (((x * 2) + 1) * 2))
A284675: 1 6 10 14 19 23 27 32 36 40 45 49 53 57 62 66
((((((1 - x) mod ((2 + 2) * 2)) * 2) + 1) mod ((x div 2) + 1)) div 2)
A241825: 0 0 0 0 1 0 1 0 1 0 1 0 2 1 3 2
(((x - ((x div (0 - 2)) * ((2 + 2) + 1))) * ((x div 2) + 1)) div 2)
A195020: 0 3 7 13 21 30 42 54 70 85 105 123 147 168 196 220
((((x - ((x - 1) mod (2 + 1))) * (2 + 1)) mod ((x div 2) + 1)) div 2)
A065683: 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3
((((x mod ((x mod ((2 + 1) * 2)) + 1)) + 2) mod ((x div 2) + 1)) div 2)
A340390: 0 0 0 0 0 0 1 1 2 1 1 0 1 1 2 2
((((2 - (((x - 1) div (2 + 1)) mod 2)) + 2) mod ((x div 2) + 1)) div 2)
A331383: 0 0 0 0 0 0 1 0 2 2 1 1 1 2 2 2
((((((2 - ((x div 2) mod 2)) * 2) + x) + 2) * ((x div 2) + 1)) + 2)
A059869: 8 9 14 16 32
((((((x div 2) - 2) * (x div 2)) + (x * 2)) * ((x div 2) + 1)) div 2)
A057587: 0 1 3 5 12 15 30 34 60 65 105 111 168 175 252 260
(((((x + 2) * (2 + 1)) - 1) * (x + 1)) + (((x div 2) + 1) div 2))
A227720: 5 16 34 57 86 121 163 210 263 322 388 459 536 619 709 804
(x mod ((x - (((((x + 2) * 2) * 2) + x) mod ((x div 2) + 1))) + 2))
A030567: 0 1 2 3 4 5 0 1 1 1 2 1 3 1 4 1
((x mod ((((x - ((x div (2 + 1)) mod 2)) div 2) + (x mod 2)) + 1)) div 2)
A238220: 0 0 0 0 0 0 1 1 1 1 0 2 2 2 3 3
(((x - (((x div (2 + 2)) div (0 - 2)) - 1)) div ((x mod 2) + 1)) mod 2)
A303340: 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 1
((((((((x mod 2) * 2) * ((x * 2) + 1)) + x) * x) div 2) + 1) div 2)
A245625: 0 2 1 13 4 34 9 65 16 106 25 157 36 218 49 289
((((((((x * x) div 2) div ((2 + 2) + 1)) + x) div 2) + x) + 1) div 2)
A025209: 0 1 2 2 3 4 5 6 8 9 10 11 13 14 15 17
(((((((x mod (((x div 2) mod 2) + 2)) mod 2) + x) div 2) + x) + 1) * 2)
A284794: 2 6 8 10 14 18 20 24 26 30 32 34 38 42 44 46
(x - ((((x + 1) mod (((2 + 2) * (2 + 1)) - 1)) - (x + 1)) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A004849: 0 1 2 3 4 5 6 7 8 9 32 33 34 35 36 37
(((((((x + 2) + 2) + 1) * ((x * 2) - 1)) - 1) * (x + 1)) div 2)
A162262: ~3 5 30 78 155 267 420 620 873 1185 1562 2010 2535 3143 3840 4632
((((((((x * 2) * 2) * 2) + 1) * (x + 1)) + 1) * (x + 1)) div 2)
A213832: 1 19 78 202 415 741 1204 1828 2637 3655 4906 6414 8203 10297 12720 15496
((x + 2) div ((((x mod ((2 + 2) * (0 - 2))) + 1) mod (x + 1)) + 2))
A327502: 1 1 1 2 1 1 1 4 3 1 1 1 1 1 1 8
(((((2 - (2 div ((x div (2 + 2)) + 1))) * 2) + 1) mod (x + 1)) + 2)
A097224: 2 3 3 3 5 5 5 5 7 7 7 7 7 7 7 7
((x + 2) div (((((((x mod 2) * 2) + 1) * 2) + 1) mod (x + 1)) + 2))
A103957: 1 1 2 1 1 2 1 1 2 1 2 1 2 1 3 1
(x - (((x - (((x * x) * 2) * ((2 + 2) + 1))) * (x + 1)) div 2))
A045950: 0 10 59 177 394 740 1245 1939 2852 4014 5455 7205 9294 11752 14609 17895
(((2 - ((1 - x) div (((2 - x) mod (2 + 2)) + 1))) * (x + 1)) div 2)
A272589: 1 2 4 6 7 12 24
(compr(\x.((x mod (((2 + 2) + 1) * 2)) * (x mod (2 + 1))),(x + 1)) * 2)
A228870: 6 12 18 20 24 30 36 40 42 48 54 60 66 72 78 80
(x - (((x - (((x * 2) * 2) * ((x * 2) - 1))) * (x + 1)) div 2))
A211612: 0 4 35 117 274 530 909 1435 2132 3024 4135 5489 7110 9022 11249 13815
((((((x * 2) + 1) mod ((x div (2 + 1)) + 1)) + 2) mod (x + 1)) div 2)
A061498: 0 0 1 1 1 1 1 1 2 2 1 2 1 2 3 1
((((x mod ((((x - 1) mod (2 + 2)) * 2) - 1)) + 2) mod (x + 1)) div 2)
A037826: 0 0 1 1 0 1 1 1 2 1 1 2 2 1 1 1
(((2 - (x mod (((((x mod 2) * 2) * 2) + 1) * 2))) div (x + 1)) + 2)
A205032: 4 2 2 1 2 1 2 1 2 1 2 2 2 1 2 1
(((2 - (x div ((((2 - x) div 2) div (2 + 1)) - 2))) mod (x + 1)) div 2)
A230261: 0 0 0 1 2 2 2 2 2 2 2 2 2 3 3 2
(((((((x * 2) + 1) * (x + 2)) * (2 + 1)) + 2) * (x + 1)) div 2)
A024394: 4 29 93 214 410 699 1099 1628 2304 3145 4169 5394 6838 8519 10455 12664
((((((((x + 2) + 2) + 2) * (x + 2)) + 1) div 2) * (x + 1)) div 2)
A295622: 3 11 24 46 75 117 168 236 315 415 528 666 819 1001 1200 1432
(((((((x + 2) + 2) + 1) mod ((x div 2) + 1)) + 2) mod (x + 1)) div 2)
A258594: 0 0 0 1 1 1 2 1 2 3 2 3 2 3 2 3
((((((((2 + 2) + 1) * 2) * 2) mod (x + 1)) + 2) div (x + 1)) + 2)
A120927: 4 3 3 2 2 2 3 2 2 2 3 2 2 2 2 2
(((x - ((1 - (((x + 2) * 2) * (x + 1))) * 2)) * (x + 1)) div 2)
A126335: 3 23 72 162 305 513 798 1172 1647 2235 2948 3798 4797 5957 7290 8808
(((x - ((((x div (2 + 2)) + x) div (0 - 2)) * 2)) * (x + 1)) div 2)
A026271: 0 3 6 14 25 33 49 60 81 105 121 150 182 203 240 264
(((((x * x) mod (((x div (2 + 1)) + x) + 2)) - 2) div (x + 1)) + 2)
A253589: 0 1 1 2 2 1 2 2 2 2 2 2 1 3 2 2
(((((x - 1) div 2) * (x div 2)) + (((x + 2) * 2) * (x + 1))) div 2)
A194110: 2 6 12 20 31 44 59 76 96 118 142 168 197 228 261 296
((((((x + 2) * 2) + x) * (((2 + 1) * x) + 2)) * (x + 1)) div 2)
A228887: 4 35 120 286 560 969 1540 2300 3276 4495 5984 7770 9880 12341 15180 18424
(((x - (((((x + 2) + 2) + 1) * (1 - x)) * 2)) * (x + 1)) div 2)
A162259: ~5 1 24 70 145 255 406 604 855 1165 1540 1986 2509 3115 3810 4600
(((((((x + 2) + 2) * (2 + 1)) + 2) * (x + 2)) * (x + 1)) div 2)
A059997: 14 51 120 230 390 609 896 1260 1710 2255 2904 3666 4550 5565 6720 8024
((((x + 1) * x) div ((2 + 2) + 1)) + (((x + 2) * (x + 1)) div 2))
A194102: 1 3 7 12 19 27 36 47 59 73 88 104 122 141 162 184
((((x - 1) * x) div ((2 + 2) + 1)) + (((x + 2) * (x + 1)) div 2))
A083462: 1 3 6 11
A025722-A022775: 1 3 6 11 17 25 34 44 56 69 84 100 117 136 156 178
(((x div 2) div (((2 - (x mod 2)) * (2 + 1)) + 1)) + ((x + 1) * 2))
A187350: 2 4 6 8 10 12 14 16 18 21 22 25 26 29 31 33
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + ((x + 1) * 2))
A195437: 2 5 7 10 12 14 17 19 21 23 26 28 30 32 34 37
((x div (2 - (x div (((2 - x) div (2 + 2)) - 1)))) + ((x + 1) * 2))
A287777: 2 4 6 8 11 13 15 17 19 21 23 26 28 30 32 35
((((((x div 2) * (x + 1)) mod 2) - x) div (2 + 1)) + ((x + 1) * 2))
A285977: 2 3 5 7 8 10 12 13 15 17 19 20 22 23 25 27
(((((((x + 1) div 2) div 2) mod 2) - x) div (2 + 1)) + ((x + 1) * 2))
A226249: 2 3 5 7 9 10 12 13 15 17 18 20 22 24 25 27
((((((x div 2) + x) * x) div 2) div ((x + 2) + 1)) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A276223: 2 4 6 9 11 14 17 19 22 24 27 30 33 35 38 41
(((((x - ((2 - x) div (2 + 2))) div 2) + 1) div 2) + ((x + 1) * 2))
A024812: 2 4 7 9 11 14 16 18 21 23 25 28 30 32 34 37
(((((x * 2) div ((x div 2) + 1)) mod (2 + 1)) div 2) + ((x + 1) * 2))
A299232: 2 5 7 8 11 12 14 16 18 20 22 24 26 28 30 32
(((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) + ((x + 1) * 2))
A140592: 2 5 7 8 11 12 14 17 19 20 22 25 26 29 31 32
((((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) mod 2) + ((x + 1) * 2))
A284777: 2 5 6 8 10 13 14 17 18 20 23 24 26 29 30 32
compr(\x.(((((x div (2 + 1)) * (1 - x)) div 2) div 2) mod 2),((x + 1) * 2))
A234902: 2 9 13 17 24 26 33 37 41 48 50 57 61 65 72 74
(((x - ((((x div (2 + 2)) mod 2) - x) div 2)) div 2) + ((x + 1) * 2))
A285207: 2 5 7 10 13 15 18 21 24 27 29 32 35 37 40 43
(((((x div 2) div ((0 - 2) * (2 + 1))) + x) div 2) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A224995: 2 4 6 9 11 14 16 19 21 24 26 29 31 34 36 38
(((((x - ((x div (2 + 1)) mod 2)) div 2) + x) div 2) + ((x + 1) * 2))
A089972-A008062: 2 4 7 10 12 15 18 21 24 26 29 32 35 37 40 43
(((((x * x) div (2 + 2)) + (x * 2)) div (x + 2)) + ((x + 1) * 2))
A287074: 2 4 7 9 12 14 16 18 21 23 25 28 30 32 34 37
(((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)) + ((x + 1) * 2))
A288933: 2 4 7 9 13 15 18 20 25 27 30 32 36 38 41 43
((((x + 1) * 2) div (((2 + 2) * 2) - (x mod 2))) + ((x + 1) * 2))
A184978: 2 4 6 9 11
A187842: 2 4 6 9 11 13 15 18 20 22 24 27 29 32 33 36
((((x div (2 + 1)) div ((x div (2 + 2)) + 1)) + x) + ((x + 1) * 2))
A193767: 2 5 8 12 14 17 21 24 26 30 33 36 39 42 45 48
((((x - (x div (((2 + 2) * 2) + 1))) div 2) + x) + ((x + 1) * 2))
A190506: 2 5 9 12 16 19 23 26 30 33 36 40 43 47 50 54
((((x mod (((x + 2) mod (2 + 2)) + 1)) div 2) + x) + ((x + 1) * 2))
A190361: 2 5 8 11 14 17 20 23 27 29 32 35 38 41 44 47
((((x * x) div ((((2 + 2) * 2) * 2) + x)) + x) + ((x + 1) * 2))
A172262: 2 5 8 11 14 18 21 25 28 32 35 39 43 46 50 54
((((x * 2) - ((x div (0 - 2)) * (2 + 1))) + 1) * ((x + 1) div 2))
A219191: 0 6 8 26 30 60 66 108 116 170 180 246 258 336 350 440
((((x - (x div ((0 - 2) - 2))) * 2) * (2 + 1)) - ((x + 1) div 2))
A184551: 0 11 17 22 28 39 45 50 56 67 73 78 84 95 101 106
(((x + 2) div (2 - ((1 - (x div 2)) div (2 + 1)))) + ((x + 1) div 2))
A216411: 1 2 3 4 4 5 5 7 7 8 8 9 9 10 11 12
(((((((x mod 2) + x) * (2 + 1)) + x) * 2) + 1) * ((x + 1) div 2))
A157716: 0 15 17 62 66 141 147 252 260 395 405 570 582 777 791 1016
(((((x + 1) div 2) * (x + 1)) * ((x div 2) + 1)) * ((x + 1) div 2))
A212762: 0 2 6 32 60 162 252 512 720 1250 1650 2592 3276 4802 5880 8192
((x - ((((x div 2) - (x * 2)) * (2 + 1)) - 2)) * ((x + 1) div 2))
A219257: 0 9 13 40 48 93 105 168 184 265 285 384 408 525 553 688
(((((x mod ((x div 2) + 1)) div 2) + (x mod 2)) * 2) + ((x + 1) div 2))
A115659: 0 3 1 4 2 7 5 8 6 11 9 12 10 15 13 16
((((((x mod 2) + (x * 2)) * (2 + 1)) + x) + 2) * ((x + 1) div 2))
A219390: 0 12 16 52 60 120 132 216 232 340 360 492 516 672 700 880
((2 div (((2 + 2) * 2) - (((x mod 2) * x) div 2))) * ((x + 1) div 2))
A007393: 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 16
(((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x) * (x + 1)) div 2)
A195038: 0 41 123 246 410 615 861 1148 1476 1845 2255 2706 3198 3731 4305 4920
((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2)
A162942: 0 49 147 294 490 735 1029 1372 1764 2205 2695 3234 3822 4459 5145 5880
((((((((x + 2) + 2) * 2) * (x + 1)) + 1) * x) * (x + 1)) + 2)
A242856: 2 44 224 686 1622 3272 5924 9914 15626 23492 33992 47654 65054 86816 113612 146162
(((((((x + 2) * (x + 2)) + (2 + 2)) * 2) + x) * (x + 1)) div 2)
A151675: 8 27 63 122 210 333 497 708 972 1295 1683 2142 2678 3297 4005 4808
((((x - (((x * x) * x) div ((x + 2) + 2))) + x) mod (x + 1)) div 2)
A124757: 0 0 0 1 0 1 2 3 0 1 2 3 3 4 5 6
(((((x * x) + 2) * x) div (2 + 1)) + (((x * x) * (x + 1)) div 2))
A203551: 0 2 10 29 64 120 202 315 464 654 890 1177 1520 1924 2394 2935
(((((x * 2) div ((2 + 2) + 1)) * (2 + 1)) div 2) - ((x - 1) div 2))
A029384: 1 0 0 0 0 1 1 0 1 0 2 1 1 1 1 2
((((((x * 2) * 2) + 1) - (x div (2 + 1))) * 2) - ((x - 1) div 2))
A063245: 3 10 18 23 31 38 44 51 59 64 72 79 85 92 100 105
((((((x div (2 + 1)) * x) mod (2 + 1)) mod 2) * 2) * ((x - 1) div 2))
A132792: 0 0 0 0 2 0 0 0 6 0 0 0 0 12 0 0
(((((x * x) + 2) * x) div (2 + 1)) + (((x * x) * (x - 1)) div 2))
A203552: 0 1 6 20 48 95 166 266 400 573 790 1056 1376 1755 2198 2710
((((((x * x) * x) * (x * x)) * (x * x)) * ((x * x) + 1)) div 2)
A168636: 0 1 320 10935 139264 1015625 5178816 20588575 68157440 196101729 505000000 1188717431 2597806080 5333623945 10383230144 19307109375
compr(\x.((x div 2) mod 2),(2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))))
A140341: 1 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9
((1 - (((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)) * 2)) * 2)
A167268: 2 2 6 2 6 2 10 6 2 10 6 2 14 10 6 2
((((x div (2 - ((x * x) mod ((x div (2 + 2)) + 1)))) + 1) div 2) div 2)
A233918: 0 0 0 0 0 1 1 2 2 1 2 3 1 3 2 4
(2 - ((((x div (((x * x) mod ((x div 2) + 2)) + 1)) - 1) div 2) mod 2))
A281527: 1 1 2 1 1 2 1 2 2 2 1 1 1 2 2 1
((x + 2) div ((x div (((x mod (((x mod 2) + 2) + 1)) + 1) + 2)) + 2))
A067752: 1 1 2 2 2 2 2 3 3 2 3 4 2 3 4 4
((((((x * 2) * 2) div ((x div ((x mod 2) + 2)) + 1)) + 1) div 2) div 2)
A345345-A341596-A337176-A140774-A099042-A056924: 0 1 1 1 1 2 1 2 1 2 1 3 1 2 2 2
(((x - 1) mod (((((x div (2 + 1)) + 1) div (2 + 1)) + 1) + 2)) div 2)
A137677: 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 2
(((x * x) * (x * x)) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2))
A070587: 0 1 16 37 36 9 20 25 4 5 12 33 12 5 4 25
((((((((x + 2) + 2) * (x + 2)) + 2) * (2 + 1)) + 1) * 2) * 2)
A038866: 124 208 316 448 604 784 988 1216 1468 1744 2044 2368 2716 3088 3484 3904
(x - (((((((1 - x) * (x div 2)) div 2) div (2 + 1)) - 1) div 2) div 2))
A320058: 1 2 3 4 5 6 7 8 10 11 13 14 15 17 19 20
(1 - ((((((x div 2) * x) + 2) mod ((x div (2 + 1)) + 1)) mod 2) * 2))
A162511: 1 1 1 ~1 1 1 1 1 ~1 1 1 ~1 1 1 1 ~1
(((x - (((((x * x) div 2) + 2) div ((x + 2) + 1)) - 1)) * 2) * 2)
A120427-A060830: 4 8 12 12 16 20 20 24 24 28 28 32 36 36 40 40
(((((x div 2) - (((0 - x) * 2) div ((x div 2) + 1))) + 1) + 2) * 2)
A135711: 6 10 12 14 16 18 18 20 22 22 24 24 26 26 28 28
(2 - ((((((x + 2) div ((x mod (2 + 1)) + 1)) div 2) + 1) div 2) mod 2))
A212810: 1 2 2 1 1 1 2 1 1 1 2 1 2 2 1 2
(((((((2 + 2) * 2) mod (((x + 1) div 2) + 1)) div 2) + 1) mod 2) + 2)
A075074: 3 3 3 2 2 3 3 2 2 2 2 3 3 3 3 3
(1 - (((x mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1)) div 2) * 2))
A307860: 1 1 1 1 1 1 1 1 ~1 1 1 1 ~3 ~5 1 1
((((x * x) * x) * (x * x)) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A070612: 0 1 4 19 16 17 20 7 8 25 12 23 24 13 0 15
(2 - ((1 - (x * 2)) div (((x div (((2 + 1) * 2) + 1)) + 2) + 2)))
A177876: 2 3 3 4
A073047: 2 3 3 4 4 5 5 5 5 6 6 7 7 7 7 7
(((x - (((((2 - x) div 2) * (x div (2 + 1))) div 2) - 1)) div 2) div 2)
A163464: 0 0 0 1 1 1 2 2 3 4 4 5 5 6 6 8
(((2 - ((x * 2) mod (x - (((x div (2 + 1)) * 2) - 1)))) div 2) mod 2)
A033770: 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1
(((x - ((x mod (((2 + 2) - (x mod (2 + 1))) * 2)) - 1)) div 2) div 2)
A181834: 0 0 0 0 0 1 0 1 2 2 1 2 2 3 3 2
((((((((x * x) + (x div 2)) div 2) * (x + 1)) div 2) - 1) div 2) mod 2)
A080995: 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1
(((((x * 2) + 1) mod ((x div ((x mod (0 - 2)) - 2)) - 1)) mod 2) + 2)
A305374: 2 3 3 3 2 3 3 3 3 3 3 2 3 3 3 3
(((x - (x div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1))) div 2) div 2)
A328708: 0 0 0 0 0 1 0 1 1 1 0 2 0 1 2 2
(((((x + 2) - (x div ((x div ((0 - 2) - 2)) - 2))) + 1) * 2) * 2)
A136724: 12 20 24 28 36 40 44 48 52 56 60 68 72 76 80 84
(((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) div 2) + 2)
A104103: 2 2 3 3 4 4 5 5 5 6 6 7 7 7 7 8
(2 div ((((((2 - x) - (x div 2)) mod ((2 + 2) * 2)) + 1) + 2) div 2))
A339086: 1 1 0 0 0 0 1 2 0 0 0 1 2 0 0 0
(x mod (((((x * 2) * (0 - 2)) mod (((2 + 2) * 2) + 1)) + 2) + 2))
A031045: 0 1 2 3 4 5 6 7 0 1 1 1 2 1 3 1
((x div (((x + 1) div ((x mod ((x mod (2 + 2)) + 2)) + 1)) + 2)) + 2)
A266225: 2 2 2 3 2 3 3 3 2 2 4 3 2 3 4 2
(((((((x div 2) * x) div (2 + 1)) + 1) div ((2 + 2) + 1)) * 2) * 2)
A278933: 0 0 0 0 0 0 4 4 8 8 12 12 20 20 24 28
((x + 2) - (((x - ((1 - (x div 2)) mod ((2 + 2) + 1))) div 2) mod 2))
A137901: 1 3 3 4 6 7 7 9 9 10 12 12 14 15 15 16
((x + 1) - ((((x mod 2) * (x + 1)) mod (((2 + 2) + 1) * 2)) * 2))
A121759: 1 ~2 3 ~4 5 ~6 7 ~8 9 10 11 8 13 6 15 4
((((2 - ((x div 2) mod (2 + 1))) - (x div ((2 + 2) + 1))) div 2) - 2)
A160764: ~1 ~1 ~2 ~2 ~2 ~3 ~2 ~2 ~2 ~2 ~3 ~3 ~2 ~2 ~3 ~3
((x div 2) - (((x * 2) - 1) div (((x div ((2 + 2) + 1)) + 2) + 2)))
A029213: 1 0 1 0 1 1 1 1 1 1 2 2 3 2 3 3
(1 - (((((x mod (2 + 1)) + (x * x)) mod ((2 + 2) + 1)) mod 2) * 2))
A232544: 1 1 ~1 1 1 1 ~1 1 ~1 ~1 ~1 ~1 1 1 ~1 1
((x - (x mod (0 - ((x div (((2 - x) mod (2 + 2)) + 1)) + 2)))) div 2)
A228942: 0 1 2 2 3 4 4 4 4 6 6 6 6 8 8 7
(((((((((x + 2) * 2) * (x + 1)) + x) * 2) * 2) + 1) * 2) * 2)
A292344: 68 212 420 692 1028 1428 1892 2420 3012 3668 4388 5172 6020 6932 7908 8948
(x - ((((x mod ((2 + 2) + 1)) - (((x + 2) + 2) + 1)) * 2) * 2))
A133895: 20 21 22 23 24 45 46 47 48 49 70 71 72 73 74 95
((((x div (2 - ((((2 - x) * x) div (x + 2)) mod 2))) + 1) div 2) div 2)
A343332: 0 0 0 1 0 1 1 1 2 1 2 1 3 1 3 2
((((((x - 1) * 2) mod (((x div 2) - (x mod 2)) + 2)) - 1) div 2) mod 2)
A164057: 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1
((((x - ((x div ((0 - 2) * (2 + 1))) - 1)) * (2 + 1)) div 2) * 2)
A005796: 2 8 12 14 18 20 24 30
(((((x - 1) * x) mod (((x div (2 + 1)) + 1) * (2 + 1))) div 2) div 2)
A035629: 0 0 0 0 0 0 0 1 0 0 1 0 3 1 0 3
((2 - ((((((x + 2) * x) + 1) div (2 + 1)) mod (2 + 1)) div 2)) * 2)
A067395: 4 4 4 2 2 4 4 4 4 4 4 4 2 2 4 4
(x - (((((2 - x) div ((2 + 2) * (2 + 1))) * (2 + 1)) - 2) * 2))
A089119: 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 31
(1 - ((((((x + 2) * x) - (x div (2 + 1))) div (2 + 1)) mod 2) * 2))
A216430: 1 ~1 1 1 ~1 ~1 ~1 1 1 1 ~1 1 1 ~1 ~1 ~1
(((x - (((2 + 1) * x) mod (x - ((x + 1) mod (2 + 1))))) mod 2) + 2)
A299229: 2 3 2 2 2 3 3 2 2 2 2 3 3 3 2 2
(((x - (((2 - (x * x)) * x) div ((2 + 2) * (2 + 1)))) div 2) div 2)
A177205: 0 0 0 1 2 3 5 8 12 17 23 30 38 48 60 73
((x div 2) - (((((x + 1) div ((x mod 2) + 2)) * (2 + 1)) div 2) div 2))
A241065: 0 0 1 1 1 1 1 2 1 2 2 2 2 3 2 4
(1 - ((((x - (((x * x) div 2) mod (x + 2))) div (2 + 1)) mod 2) * 2))
A020985: 1 1 1 ~1 1 1 ~1 1 1 1 1 ~1 ~1 ~1 1 ~1
((((((2 + 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1))) div 2) * 2)
A001581: 4 10 14 20 24 30 36 40 46 50 56 60 66 72 76 82
((2 - ((x * 2) div (((x mod (2 + 1)) + 1) - ((2 + 1) * 2)))) div 2)
A026903: 1 1 2 2 2 3 2 3 4 3 3 5 3 4 6 4
(((((((x - 1) * 2) mod ((2 + 2) + 1)) + x) div (2 + 1)) + 2) div 2)
A184956: 1 1 1 2 1 2 2 2 3 2 3 2 3 3 3 4
(((((x + 1) * x) - (1 - (((x mod 2) - x) * (2 + 1)))) * 2) * 2)
A216871: ~4 4 ~4 20 28 68 92 148 188 260 316 404 476 580 668 788
(1 - (((((((x div 2) - 1) div 2) div 2) + (x div (2 + 1))) mod 2) * 2))
A306638: ~1 ~1 1 ~1 ~1 ~1 1 1 1 ~1 1 1 ~1 ~1 ~1 1
((x + 2) - (((((2 - (x div 2)) div 2) * (x div (2 + 1))) div 2) div 2))
A026470: 2 3 4 5 6 7 9 10 11 12 14 15 16 17 19 21
(((x + 1) * 2) - (((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) mod 2))
A285306: 2 3 6 8 10 11 14 15 18 20 21 24 26 27 30 32
((((((x + 1) div 2) div 2) div 2) + (x mod ((x mod (2 + 1)) + 2))) mod 2)
A327180: 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1
((x * 2) div (2 - ((1 - x) div ((2 - ((x mod (2 + 1)) div 2)) + 2))))
A280079: 0 1 1 2 2 2 3 3 3 4 4 3 4 5 4 5
((x - (((x div 2) - (((x * x) * x) div ((x + 2) + 1))) div 2)) div 2)
A194252: 0 0 1 2 4 6 8 11 14 18 23 28 33 39 45 52
((x - ((((x - (x div (2 + 2))) div 2) - ((x * 2) + 1)) * 2)) * 2)
A075319: 4 14 20 30 40 46 56 62 72 82 88 98 108 114 124 130
((((1 - ((((2 + 2) * 2) * 2) * 2)) mod ((x div 2) + 1)) div 2) + 2)
A322168: 2 2 2 2 3 3 2 2 4 4 4 4 4 4 2 2
((((x - 2) div ((x div 2) + 2)) + 2) + ((((x div 2) + 1) div 2) div 2))
A309196: 1 1 2 2 2 2 3 4 4 4 4 4 4 4 5 5
((x mod (((((x + 1) div 2) div (2 + 1)) * ((x mod 2) + 1)) + 2)) div 2)
A337976: 0 0 0 0 0 0 0 1 1 0 0 2 0 0 1 1
((((((x + 2) * 2) - (x div 2)) * (((x div 2) + x) + 1)) div 2) div 2)
A294479: 1 3 7 11 17 24 32 41 52 63 76 89 104 120 137 155
((x + 2) mod (((((x * x) * x) mod (((x div 2) + x) + 1)) mod 2) + 2))
A037281: 0 0 0 1 0 1 0 1 1 2 0
A034876: 0 0 0 1 0 1 0 1 1 2 0 1 0 0 0 2
((x div ((((x mod (((0 - 2) - 2) - 1)) + 1) mod (x + 1)) + 2)) div 2)
A037873-A037855: 0 0 0 0 1 0 0 0 0 2 1 0 0 0 3 2
((((((x - 1) mod ((2 + 2) * 2)) * (2 + 1)) mod (x + 1)) div 2) div 2)
A102037: 0 0 0 0 1 0 0 0 0 0 0 1 2 3 0 0
(((((x mod ((x div ((0 - 2) - 2)) - 2)) * 2) mod (x + 1)) div 2) div 2)
A282355: 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 2
((((((((x mod 2) + 2) * (x div 2)) + 2) + 2) * (x + 1)) div 2) div 2)
A276164: 1 2 4 7 10 15 17 26 27 40
((((((((x mod (2 + 1)) - 1) * x) div 2) + 2) * (x + 1)) div 2) * 2)
A087570: 2 4 8 0 10 24
(x - (((((1 - x) * 2) div ((2 + 2) + 1)) - ((x + 1) * 2)) * 2))
A140868: 4 9 16 21 28 33 38 45 50 57 62 67 74 79 86 91
(x - ((((x * x) div (x - ((2 - x) div 2))) - ((x + 1) * 2)) * 2))
A026372: 4 7 10 15 18 23 26 31 34 37 40 45 48 53 56 59
((((x - 1) * x) div (((2 + 2) * (2 + 1)) - ((x + 1) div 2))) div 2)
A309830: 0 0 0 0 0 1 1 2 3 5 6 9 11 15 18 26
((((x - 1) div 2) - (x div ((0 - 2) - 2))) * (((x + 1) div 2) div 2))
A272104: 0 0 0 2 2 4 4 10 10 14 14 24 24 30 30 44
(((((((((x * 2) * 2) + 1) * 2) * 2) + x) * (x - 1)) div 2) + 2)
A180232: 0 2 21 57 110 180 267 371 492 630 785 957 1146 1352 1575 1815
((((((x + 2) * (x + 2)) + (x * 2)) * ((x * x) + 1)) div 2) - 2)
A286437: 0 9 48 153 372 765 1404 2373 3768 5697 8280 11649 15948 21333 27972 36045
(1 - ((x + 1) mod (1 - ((1 - (x div ((x div (0 - 2)) - 2))) * 2))))
A194877: 1 2 1 3 2 1 4 3 2 1 5 4 3 2 1 5
(1 - (((x + 1) div (((((x div 2) div (2 + 1)) + 1) mod 2) + 2)) div 2))
A016397: 1 1 1 1 1 0 0 ~1 ~1 ~1 ~1 ~2 ~1 ~1 ~1 ~1
(((((x div 2) - (x div (((1 - x) div (2 + 1)) - 1))) + 2) + 2) + 2)
A114459: 6 7 8 9 10 10 11 12 12 13 14 14 15 15 16 16
((((x mod (((x div (2 + 2)) + (x div (2 + 1))) + 1)) mod 2) + 2) * 2)
A098013: 4 4 4 6 6 4 4 6 6 6 4 6 4 6 4 4
((((((((2 + 2) * 2) * (x + 1)) * (x + 1)) - 1) * 2) * 2) * 2)
A158487: 56 248 568 1016 1592 2296 3128 4088 5176 6392 7736 9208 10808 12536 14392 16376
(((x - (x div ((((x * x) div 2) mod ((0 - 2) - 1)) - 2))) div 2) div 2)
A225643: 0 0 0 1 1 2 2 2 2 3 3 4 4 5 4 4
(x div (((((x * x) * x) mod ((((2 + 1) * 2) + 1) * 2)) + 2) + 2))
A079123: 0 0 0 0 0 0 0 0 0 1 1 2 1 0 3 3
(x div ((((1 - x) mod ((((x mod (2 + 1)) * 2) + 1) * 2)) + 2) + 2))
A071287: 0 0 0 0 0 0 1 1 1 2 1 2 2 3 1 3
((((x mod (((((2 - x) div 2) mod (2 + 2)) * 2) + 1)) mod 2) + 2) * 2)
A130331: 4 4 4 6 4 4 6 6 4 4 4 4 6 6 4 4
((x - (((x - 2) div (((x div 2) div ((2 + 2) + 1)) + 2)) * 2)) div 2)
A120004: 1 1 1 1 1 1 1 1 1 1 3 2 3 3 3 3
((1 - (((x * 2) * 2) mod (1 - ((((2 + 2) + 1) * 2) * 2)))) div 2)
A093019: 0 8 6 4 2 9 7 5 3 1 9 7 5 3 1 8
(((((x mod ((2 + 1) * 2)) + (x mod ((2 + 2) + 1))) div 2) mod 2) + 2)
A023397: 2 3 2 3 2 2 2 3 2 3 2 3 3 2 3 3
(x div (((((x + 2) * x) mod ((((x mod 2) + 2) + 1) * 2)) + 2) * 2))
A342657: 0 0 0 0 1 0 1 0 1 0 2 0 3 1 1 0
(((x - ((x - ((0 - (x div (2 + 2))) mod (2 + 1))) div 2)) + 2) + 2)
A205842: 4 5 5 6 7 8 8 9 9 9 10 10 10 11 11 12
(x - ((0 - ((x - (((x + 1) div 2) mod ((2 + 1) * 2))) div 2)) div 2))
A264387: 0 1 2 3 5 6 7 8 9 10 11 14 15 16 17 18
(((x - ((x - 2) div ((x div (2 + 2)) - ((2 + 1) * 2)))) + 2) + 2)
A336379: 4 5 6 8 9 10 11 12 14 15 16 18 20 21 22 24
((((((x div 2) div ((2 + 2) + 1)) + x) + ((2 + 1) * 2)) * 2) * 2)
A268540: 24 28 32 36 40 44 48 52 56 60 68 72 76 80 84 88
((x + 1) - (x mod ((2 - (x div (((x mod (2 + 1)) - 2) - 2))) * 2)))
A105769: 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 13
(x - ((x mod 2) - (((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2)))
A143579: 1 0 2 3 4 5 7 6 8 9 11 10 13 12 14 15
(x - (((((((x div ((2 + 2) * 2)) - x) * 2) - 1) * 2) * 2) * 2))
A161448: 8 25 42 59 76 93 110 127 128 145 162 179 196 213 230 247
(((((((x + 2) * (x + 2)) + 1) * ((x * 2) + 1)) div 2) div 2) div 2)
A248851: 0 3 10 22 41 68 105 153 214 289 380 488 615 762 931 1123
(((x - ((2 - (((2 + 2) * 2) mod ((x div 2) + 1))) div 2)) div 2) + 2)
A343174-A102548: 1 2 2 3 4 4 4 5 6 7 7 7 8 8 8 9
(((((x div 2) - (((0 - x) * 2) div ((x div 2) + 1))) + 2) + 2) + 2)
A182619: 6 8 9 10 11 12 12 13 14 14 15 15 16 16 17 17
(((x - (((((x * x) div (2 + 1)) + 2) div (x + 1)) * 2)) + 2) + 2)
A067628: 0 3 4 5 6 7 6 7 8 9 8 9 10 9 10 11
((x + 1) mod (((((((x div 2) * x) div 2) mod (x + 1)) div 2) + 2) div 2))
A088950: 0 0 0 0 1 0 0 0 1 1 0 0 1 2 1 0
((2 - ((2 - x) div ((x div 2) + 2))) + ((((x + 1) div 2) div 2) div 2))
A074198: 1 2 2 3 3 3 3 4 4 5 5 5 5 5 5 6
((x - (((((x div ((2 + 2) + 1)) + 1) * (x - 1)) div 2) div 2)) div 2)
A276034: 0 0 1 1 2 1 2 2 2 2 2 2 2 2 2 0
((((((((x div 2) * x) div (2 + 2)) + 1) * (x - 1)) div 2) div 2) + 2)
A230381: 1 2 2 2 4 5 8 11
(((((((x * x) * (2 + 1)) + 1) * ((x * x) + 1)) div 2) div 2) div 2)
A212674: 0 1 8 35 104 247 504 925 1568 2501 3800 5551 7848 10795 14504 19097
((((((((2 + 1) * x) - 2) * x) * ((x * x) - 1)) div 2) div 2) div 2)
A228317: 0 0 3 21 75 195 420 798 1386 2250 3465 5115 7293 10101 13650 18060
((((x + 1) * x) + 1) div (((x - (x div ((0 - 2) - 2))) div 2) + 2))
A099308: 0 1 2 3 5 6 7 9 10 11 13 14 17 18 19 21
(((((((((x * x) * (2 + 2)) * 2) * 2) + 1) * 2) * 2) * 2) * 2)
A158574: 16 272 1040 2320 4112 6416 9232 12560 16400 20752 25616 30992 36880 43280 50192 57616
((x + 1) div (((x div (((((x mod 2) * 2) + 1) * 2) * 2)) + 2) + 2))
A321014-A211271: 0 0 0 1 1 1 1 2 1 2 1 3 1 2 2 3
(x - (((x - (x div ((x div ((x mod (2 + 1)) + 2)) + 2))) div 2) * 2))
A303536: 0 1 2 1 2 1 2 1 2 1 2 3 2 3 2 1
((x + 1) div ((x div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 2)) + 2))
A211270: 0 1 1 1 1 2 1 2 2 2 1 3 1 2 3 2
(((((((x div 2) - (2 div (x + 1))) * (x + 1)) div 2) div 2) div 2) + 2)
A029024: 1 1 2 2 3 3 4 5 6 7 8 9 11 12 15 16
((2 + 1) mod ((2 - (x mod (1 - ((((x + 1) div 2) div 2) * 2)))) div 2))
A035691: 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 3
((x + 1) - ((x - (x mod (1 - ((((x + 1) div 2) div 2) * 2)))) div 2))
A134482: 1 2 2 3 3 4 4 4 5 6 5 5 6 7 8 6
((2 - (((((1 - x) div (2 + 1)) * ((x - 1) div 2)) div 2) div 2)) div 2)
A116492-A103263: 1 1 1 1 1 1 1 2 2 2 2 3 3 4 5 5
(((((((((x + 2) * 2) * (x + 1)) - 1) * 2) * 2) * 2) * 2) * 2)
A292345: 96 352 736 1248 1888 2656 3552 4576 5728 7008 8416 9952 11616 13408 15328 17376
((((((x * x) - (((x div (2 + 2)) + 1) mod 2)) div 2) div 2) div 2) div 2)
A220838: ~1 0 0 0 1 1 2 3 3 5 6 7 9 10 12 14
((((x - (((x - ((x mod (2 + 1)) div 2)) div 2) div 2)) mod 2) + 2) + 2)
A276868: 4 5 4 5 5 4 5 4 5 5 4 5 5 4 5 4
((((((((x div 2) - (x mod (2 + 2))) div 2) div 2) mod 2) + 2) + 2) + 2)
A023409: 6 7 7 7 6 6 6 6 7 6 6 6 7 7 7 7
((((x - (x div (0 - (((x mod (2 + 2)) + 2) * 2)))) div 2) mod 2) + 2)
A251619: 2 3 3 2 2 3 3 2 3 3 2 2 3 2 2 2
(2 - ((x - (((1 - x) * x) div ((((2 + 2) * 2) * 2) * 2))) mod 2))
A007421: 2 1 1 2 1 2 1 1 2 2 1 1 1 2 2 2
(x div ((((x - 1) mod (((2 - x) mod ((2 + 2) * 2)) + 2)) + 2) + 2))
A130633: 0 0 0 0 0 0 0 1 1 1 2 2 1 1 2 1
(((x - (((2 - x) + 1) div ((x div ((2 + 2) * 2)) + 2))) + 2) + 2)
A186495: 3 4 6 7 9 10 12 13 14 15 17 18 19 21 22 23
((1 - ((x + 1) mod (1 - (((x div ((2 + 2) * 2)) + 2) * 2)))) div 2)
A195011: 1 1 0 1 1 0 1 1 1 0 2 2 1 1 0 2
(((x + 2) div ((x mod ((x div (((x mod 2) + 2) * 2)) + 2)) + 2)) div 2)
A214841: 0 0 1 0 1 1 2 1 2 2 1 1 1 2 1 1
(((2 - (((x - 1) mod ((x div ((x mod 2) + 2)) + 2)) mod 2)) + 2) * 2)
A094540: 6 8 6 8 6 6 8 8 6 6 8 8 6 8 8 8
((x + 2) div (((x * 2) div ((((x + 1) mod (2 + 2)) + 2) + 2)) + 2))
A103318: 1 1 2 1 2 2 2 1 2 2 3 1 2 2 2 1
((x + 1) div ((x div ((x mod (((x + 1) mod (2 + 2)) + 2)) + 2)) + 2))
A164878: 0 1 1 1 1 2 1 2 2 2 1 2 1 2 3 2
(x div ((x div ((((((x * x) - 1) div 2) mod (2 + 2)) + 2) + 2)) + 2))
A343901-A193386: 0 0 1 1 2 1 2 2 2 2 2 2 4 2 3 3
(x - ((x div ((((((x + 1) div 2) div 2) mod (2 + 2)) + 2) + 2)) * 2))
A322567: 0 1 2 3 4 3 4 5 6 7 8 9 10 11 10 9
((2 - ((x * x) div (((x + 1) div 2) - (((2 + 2) * 2) * 2)))) div 2)
A094983: 1 1 1 1 2 2 2 3 4 5 6 7 8 10 12 15
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * 2) * 2))
A167624: 0 1 0 25 0 9 0 17 0 17 0 9 0 25 0 1
((((x div 2) * (x - 1)) div (2 - (x - (((2 + 2) * 2) * 2)))) div 2)
A308991: 0 0 0 0 0 0 0 0 1 1 2 3 5 7 11 16
((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2)
A108036-A051775: 0 0 0 0 1 0 0 2 2 0 0 3 3 3 0 0
((x - ((x - ((x + 1) mod ((2 - (x div (2 + 2))) + 2))) div 2)) mod 2)
A127822: 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0
(((x * 2) * 2) - (((x - ((2 - (x div (2 + 2))) div 2)) div 2) div 2))
A188069: 1 4 8 12 15 19 23 27 30 34 38 42 45 49 53 56
(x - ((((1 - x) * (2 + 1)) div (((x div (2 + 2)) + 2) + 2)) - 2))
A185596: 2 3 5 7 8 10 11 13 14 15 17 18 19 21 22 23
(((((x - 1) * 2) * (x - 1)) mod (((x div (2 + 2)) + 2) + 2)) div 2)
A325592: 1 0 1 0 1 1 0 1 1 1 0 1 2 0 1 0
(x div ((x div (((((x * x) div 2) mod ((x div 2) + 2)) div 2) + 2)) + 2))
A195150: 0 0 1 1 1 1 1 2 2 2 1 2 1 2 3 3
(x div (((((x * x) mod (((x * 2) * 2) - 1)) mod (2 + 2)) + 2) * 2))
A035664: 0 0 0 0 0 0 1 0 1 0 1 1 1 3 1 3
(1 - (((x + 1) mod (1 - ((((2 - x) div 2) mod (2 + 2)) * 2))) div 2))
A280747: 1 1 1 2 1 1 2 1 1 1 1 3 2 2 1 1
(1 - ((2 - x) div (2 - (x div ((((x + 2) mod (2 + 2)) - 2) - 2)))))
A191517: 0 1 1 2 2 2 2 2 2 2 3 3 3 2 3 3
((x - ((1 - (x div (2 + 1))) div (2 + 1))) mod (((2 + 2) * 2) * 2))
A067570: 0 1 2 3 4 5 7
A004725: 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 1
(((((x div 2) * x) + 1) * ((x * 2) + 1)) mod (((2 + 2) * 2) * 2))
A329770: 1 3 15 12 1
((((x + 1) * x) div 2) - (1 - ((x + 1) mod (((2 + 2) * 2) * 2))))
A132315: 0 2 5 9 14 20 27 35 44 54 65 77 90 104 119 119
((((x + 2) * x) + 1) mod ((((x + 1) * x) + ((2 + 2) * 2)) + 2))
A115300: 1 4 9 16 25 36 49 64 81 0 1 2 3 4 5 6
((((x + 1) * x) div 2) - ((((1 - x) * x) * ((2 + 2) * 2)) * 2))
A282851: 0 1 35 102 202 335 501 700 932 1197 1495 1826 2190 2587 3017 3480
(((((2 + 1) * x) + 2) div ((2 - (x * x)) mod ((2 + 2) * 2))) div 2)
A324245: 0 2 0 5 3 8 1 11 6 14 2 17 9 20 3 23
((x - (2 + 2)) mod (1 - ((x div (((2 - x) div (2 + 2)) - 2)) * 2)))
A115218: 0 0 1 2 0 1 2 3 4 5 6 0 1 2 3 4
(x div (((x div 2) - (((x * 2) + 1) mod ((x div (2 + 2)) + 2))) + 2))
A324825-A316557: 0 1 1 1 1 2 1 1 1 3 1 2 1 2 2 1
((((x + 2) div ((2 - (x mod 2)) + 1)) mod ((x div (2 + 2)) + 2)) div 2)
A241063: 0 0 0 0 1 0 1 0 1 0 0 1 2 1 0 1
((x * 2) - (((2 + 2) * (x - 1)) div (((x div (2 + 2)) + 2) + 2)))
A114149: 1 2 3 4 6 7 8 10 12 13 14 16 18 20 21 22
(x - ((x mod (2 + 2)) - ((x div 2) - (((x div (2 + 2)) mod 2) * 2))))
A136013: 0 0 1 1 4 4 5 5 12 12 13 13 16 16 17 17
(x - (((((x mod ((2 + 2) * 2)) - x) - (x div (2 + 2))) div 2) * 2))
A306556: 0 1 2 3 6 7 8 9 18 19 20 21 24 25 26 27
((((x div 2) + 1) div (2 - (x mod (1 - ((x mod (2 + 2)) * 2))))) div 2)
A307990: 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 2
((x * x) - (((((x - 1) * x) - ((x * x) div (2 + 2))) div 2) div 2))
A054347: 0 1 4 8 14 22 31 42 54 68 84 101 120 141 163 187
((1 - (((((x - 2) div (2 + 1)) * ((2 - x) div 2)) div 2) div 2)) div 2)
A227614-A025150: 1 0 0 0 0 1 1 1 1 1 1 2 2 3 3 4
(((((((x + 2) * x) div 2) * (((x + 2) * x) div 2)) div 2) div 2) div 2)
A302647: 0 0 2 6 18 36 72 120 200 300 450 630 882 1176 1568 2016
(x mod ((((((x + 2) * x) mod (((x div 2) + x) + 2)) div 2) + 2) * 2))
A219695: 0 1 2 3 0 5 6 1 8 9 2 11 0 3 14 15
(((((((0 - x) mod ((2 + 2) + 1)) - 1) mod (x + 2)) div 2) mod 2) + 2)
A136032-A135975: 2 2 3 2 2 3 3 3 2 2 3 3 3 2 2 2
(x - (x mod ((((((x * x) * x) div 2) mod ((x + 2) + 2)) + 2) * 2)))
A108708: 0 0 0 0 4 0 0 0 0 8 0 0 12 0 12 0
((x div 2) mod ((1 - (((((x - 2) * x) div (x + 2)) mod 2) * 2)) * 2))
A278587: 0 0 1 1 0 0 ~1 ~1 0 0 1 ~1 0 0 1 ~1
((x * 2) - (((x - ((((x - 1) div 2) * (x - 2)) div 2)) div 2) div 2))
A241071: 1 2 4 6 8 10 12
A240114: 1 2 4 6 8 10 12 14 17 20 22 25 28 31 34
(1 - (x mod (((((((x - 1) div 2) div 2) * (x div 2)) div 2) div 2) + 2)))
A266874: 1 0 1 0 1 0 1 0 ~1 0 ~1 ~2 ~1 0 1 0
(1 - (((((2 - (x - ((x div 2) mod 2))) * (x div 2)) div 2) div 2) div 2))
A008718: 1 1 1 1 2 2 3 3 4 5 6 6 9 10 11 12
(x - ((x * x) div (((2 - (((x mod 2) - (x div 2)) div 2)) * 2) * 2)))
A207034-A014701: 0 1 2 2 3 3 4 3 4 4 5 4 5 5 6 4
((((x - ((x div ((2 + 2) * 2)) - 1)) * ((x div 2) + 2)) div 2) mod 2)
A265718: 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1
(((x * 2) - (((((x - 1) * x) - 1) mod ((x div 2) + 2)) mod 2)) + 2)
A097911: 1 3 5 8
A286048: 1 3 5 8 9 11 14 15 17 19 21 24 25 27 29 32
((((0 - x) - 1) mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) div 2)
A182748: 0 0 0 1 0 0 1 1 0 0 2 1 1 0 0 2
((x mod (((x div 2) mod ((((2 + 2) + 1) * (x mod 2)) + 2)) + 2)) div 2)
A118682: 0 0 1 0 0 0 0 1 0 1 0 2 0 2 1 0
((2 - (x div ((x mod (1 - (((x div 2) - (x mod 2)) * 2))) - 2))) - 2)
A309978: 0 1 1 2 1 3 1 2 1 3 1 3 1 2 1 2
((x - 2) div (x - (2 - ((x * 2) mod ((((x mod 2) + 2) + 2) + 2)))))
A112207: 1 ~1 0 0 0 0 1 1 0 0 0 0 1 0 0 0
(x div ((((x div (2 + 1)) + 1) div ((x mod ((x mod 2) + 2)) + 2)) + 2))
A120450: 0 0 1 1 1 2 2 2 2 2 2 3 3 4 3 3
((((((x div 2) mod 2) - x) div 2) mod ((x * 2) + 1)) + ((2 + 2) * 2))
A220571: 8 10 12 14 15 16 18 20 21 22 24 26 27 28 30 32
(((x * 2) * (2 + 1)) - (((x + 2) * 2) div (1 - ((2 + 2) * 2))))
A246393: 1 7 14 20 26 32 39 45 51 58 64 70 76 83 89 95
((((2 - ((x div 2) - 2)) * (x + 1)) * (x + 1)) + ((2 + 2) * 2))
A098113: 12 24 35 56
(((x * x) div (2 + 2)) - (x mod (x - ((x - 1) mod ((2 + 2) * 2)))))
A145196: 0 0 1 2 4 6 9 12 16 20 24 28 33 38 44 50
((((x - 1) * x) div 2) - (x mod (x - ((x - 1) mod ((2 + 2) * 2)))))
A033441: 0 0 1 3 6 10 15 21 28 36 44 53 63 74 86 99
((((2 + 2) * 2) + x) - (x mod (x - ((x - 1) mod ((2 + 2) * 2)))))
A168098: 8 9 10 11 12 13 14 15 16 17 17 17 17 17 17 17
((((x mod ((x div ((2 + 2) * 2)) + 1)) * 2) + x) * ((2 + 2) * 2))
A178735: 0 8 16 24 32 40 48 56 64 88 80 104 96 120 112 136
((((x div (2 + 1)) + 1) div 2) - (x div (((2 - x) div (2 + 2)) - 2)))
A055767: 0 1 1 2 3 3 3 3 3 5 5 5 5 5 5 6
((x * x) mod (((((2 - x) mod (2 + 2)) + 1) * (x div (2 + 2))) + 2))
A338939: 0 1 0 1 1 1 0 1 0 3 0 1 1 1 1 1
(((((2 + 2) + 1) * (x + 1)) * (x div 2)) mod ((x div (2 + 2)) + 2))
A074039: 0 0 1 0 2 0 0 0 0 0 3 0 0 0 0 0
(((x + 2) + 1) div (((((x mod 2) * 2) + x) * (x div (2 + 2))) + 2))
A181736: 1 2 2 3 1 0 1 0 0 0 0 0 0 0 0
(((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2)
A326782: 0 2 4 6 16 18 20 22 64 66 68 70 80 82 84 86
(((x * 2) + 1) div ((x div ((2 - (((x div 2) * x) mod 2)) + 2)) + 2))
A334200-A277608-A137813-A128998-A117498-A117497-A064097-A003313: 0 1 2 2 3 3 4 3 4 4 5 4 5 5 5 4
((((((((x * 2) * 2) * 2) * (x + 1)) + 1) div (x + 2)) + 2) + 2)
A085899: 4 9 16 23 30 38 46 53 61 69 77 85 93 101 109 117
((((((((x + 2) * 2) * 2) - (x mod 2)) + 1) * (x + 2)) + 2) + 2)
A138040: 22 40 72 104
(((x * 2) - ((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)) + 2)
A224731-A183869: 2 4 5 7 8 10 11 12 14 15 16 18 19 20 21 23
(((x * x) div (((x div (2 + 1)) + x) + 2)) + (((x + 2) + 2) * 2))
A319795: 8 10 13 15 18 21 23 26 29 31 34 37 40 42 45 48
(((((x - 2) mod ((2 - (x mod 2)) + 1)) + 1) + ((x + 2) * 2)) * 2)
A043544: 12 16 18 24 30 32 36 40 42 48 54 56 60 64 66 72
((((x div ((2 + 2) * (2 + 1))) + x) div 2) + (((x * 2) * 2) * 2))
A121283: 0 8 17 25 34 42 51 59 68 76 85 93 102 111 119 128
((x * 2) - (((((1 - (x div 2)) div (2 + 1)) * (x div 2)) div 2) div 2))
A248898: 0 2 4 6 9 11 13 15 17 19 23 25 27 29 32 34
(x - (((x div 2) - ((((1 - x) div (2 + 1)) * (x div 2)) div 2)) div 2))
A341883: 0 1 1 2 3 3 3 4 3 4 4 4 3 4 2 3
((x + 1) - (((2 - ((x div ((0 - 2) - 2)) * (x div 2))) div 2) div 2))
A071521: 1 2 3 4 4 5 5 6 7 7 7 8 8 8 8 9
(((((2 + 2) + 1) * x) - (((x + 1) * 2) div ((x div 2) + 2))) + 2)
A313722: 1 5 10 15 20 24 30 34 39 44 49 54 59 64 69 74
((((((x div (2 + 2)) + x) + 2) * (2 + 1)) - ((x div 2) mod 2)) * 2)
A280014: 12 18 22 28 42 48 52 58 72 78 82 88 102 108 112 118
(x div ((((((2 - (x div 2)) div 2) mod (2 + 1)) + (x mod 2)) + 2) * 2))
A034392: 0 0 0 0 1 0 0 0 1 0 1 1 2 1 3 2
(((x + 1) * 2) - ((x mod 2) - (x div (((2 - (x mod 2)) + 2) + 2))))
A287241: 2 3 6 7 10 12 15 16 19 20 23 25 28 29 32 34
((((((x + 1) * x) + 1) * (x + 2)) div 2) + (((x mod 2) * 2) * 2))
A236332: 1 8 14 36 63 112 172 260 365 504 666 868 1099 1376 1688 2052
(((0 - x) mod (((x mod (2 + 2)) + 1) * ((2 + 2) + 1))) mod (2 + 2))
A238016: 0 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1
((((x + 1) mod ((2 - (x mod 2)) + 1)) * ((x div 2) + 1)) mod (2 + 2))
A286100: 1 0 0 0 2 0 0 0 0 0 0 0 3 0 0 0
(1 - (((((x * x) div ((2 - (x mod 2)) * 2)) + 1) div 2) mod (2 + 2)))
A011633: 1 1 0 ~1 ~1 ~1 0 1 1
A046980: 1 1 0 ~1 ~1 ~1 0 1 1 1 0 ~1 ~1 ~1 0 1
(((x + 2) mod ((((x mod (2 + 1)) div 2) * (2 + 1)) + 2)) mod (2 + 2))
A338021: 0 1 0 1 0 2 0 1 0 1 0 3 0 1 1 1
(x - ((1 - ((((x * 2) - (x div (2 + 2))) + 2) * 2)) * (2 + 2)))
A161452: 12 29 46 63 72 89 106 123 132 149 166 183 192 209 226 243
(((2 + 2) * (x + 1)) - ((2 - (x - (x div (2 + 2)))) mod (2 + 2)))
A287580: 2 7 12 13 17 22 27 32 36 37 42 47 51 56 57 62
(compr(\x.((x + 1) mod (((x * x) mod ((x div 2) + 1)) + 1)),x) + (2 + 2))
A218044: 4 5 6 7 9 10 11 13 15 17 18 19 21 23 25 27
((((((x * 2) + 1) * 2) mod (((2 + 2) * 2) + 1)) + x) div (2 + 2))
A067731: 0 1 0 2 1 2 3 2 3 2 4 3 4 3 4 5
((((((x * x) - (x mod (2 + 2))) * 2) div (2 + 1)) + x) * (2 + 2))
A161216: 0 4 12 28 56 84 112
(x - ((((((2 + 2) * 2) + 1) mod ((x div 2) + 1)) + x) div (2 + 2)))
A243285-A085972: 0 1 2 2 3 4 5 5 5 6 7 8 9 10 11 11
((((x - ((x div ((x mod (2 + 1)) + 1)) mod 2)) div 2) + x) + (2 + 2))
A146968: 4 5 7
A231507: 4 5 7 8 10 11 13 14 16 17 18 20 22 23 25 26
((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) div 2) + x) + (2 + 2))
A299487: 4 5 6 7 8 9 10 11 12 13 14 16 17 19 20 22
(compr(\x.(2 - ((((x * x) * x) + 1) mod ((x + 2) + 2))),x) + (2 + 2))
A340325: 5 6 10 11 12 13 14 15 17 18 19 20 22 23 24 25
(((x div (1 - ((x mod ((0 - 2) - 2)) - 2))) + 1) - (x div (2 + 2)))
A334546: 1 1 1 1 1 0 1 1 1 0 1 1 2 0 0 1
((((((x div 2) * 2) div (2 + 1)) + 1) mod (2 + 1)) * (x div (2 + 2)))
A328842-A276009: 0 0 0 0 2 2 0 0 0 0 2 2 6 6 6 6
((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) + (x div (2 + 2)))
A239513: 0 0 0 0 1 1 1 1 2 2 3 3 5 5 7 8
((((x div ((2 + 2) * 2)) + ((x + 1) * 2)) * 2) + (x div (2 + 2)))
A341254: 4 8 12 16 21 25 29 33 40 44 48 52 57 61 65 69
((x + 1) div ((((x div (2 + 1)) mod (2 + 2)) + 2) + (x div (2 + 2))))
A225416: 0 1 1 1 1 1 1 1 1 1 1 1 2 2 3 2
(((((2 - x) div 2) + ((2 + 1) * 2)) * (x + 2)) - (x div (2 + 2)))
A169871: 14 18 24 25 29
((((((((2 + 2) * 2) * 2) + (x * x)) - 1) * x) * x) div (2 + 2))
A159833: 0 4 19 54 124 250 459 784 1264 1944 2875 4114 5724 7774 10339 13500
(((((x * x) - 1) * x) div (2 + 1)) + (((2 - x) * x) div (2 + 2)))
A212685: 0 0 2 7 18 36 64 103 156 224 310 415 542 692 868 1071
(((((((x * x) + (2 + 2)) * 2) * 2) + 1) * (x * x)) + (2 + 2))
A156701: 4 25 136 481 1300 2929 5800 10441 17476 27625 41704 60625 85396 117121 157000 206329
(((((x - 2) * (x - 1)) div 2) div (2 + 1)) * ((x * x) div (2 + 2)))
A212522: 0 0 0 0 4 12 27 60 112 180 300 450 648 924 1274 1680
(((((((2 + 1) * x) + 2) * 2) + ((x * x) * x)) * x) + (2 + 2))
A005492: 4 15 52 151 372 799 1540 2727 4516 7087 10644 15415 21652 29631 39652 52039
((((((((x div (2 + 1)) mod 2) + 2) mod (x + 1)) + 1) + x) div 2) + 2)
A198462: 2 3 4 5 6 6 6 7 7 8 9 9 9 10 10 11
((((x + 2) * x) - (((x div ((2 + 2) * (2 + 1))) + x) div 2)) div 2)
A222010: 0 1 3 7
A118027: 0 1 3 7 11 16 22 30 38 47 57 69 81 94 108 123
((((((((x div 2) - 2) * (x div 2)) - x) div (x + 1)) + x) + 2) + 2)
A085581: 4 4 5 6 7 8 9 10 12 12 14 15 16 17 19 20
(((((x * x) - 2) * (2 + 1)) div ((((2 + 2) * 2) + x) + 2)) + 2)
A213857: 1 1 2 3 5 6 8 10 12 14 16 19 21 23 26 28
(((((((((x * x) div 2) + 2) * (x - 2)) div 2) div 2) + x) div 2) + 2)
A081237: 1 2 3 4 6 9 15 21
(((((((((x div 2) + 1) div 2) mod (2 + 2)) + x) div 2) + x) div 2) + 2)
A078171: 2 2 3 4 5 6 7 7 8 9 10 11 11 12 12 13
(((((((x * x) - 1) div 2) div (2 + 1)) + ((x + 2) * x)) div 2) + 2)
A025730-A025706: 1 3 6 10 15 21 28 37 47 58 70 83 97 113 130 148
(1 - ((((((x * x) div 2) div (2 + 1)) - ((x + 2) * x)) div 2) div 2))
A137285: 1 2 3 5 7 9 12 15 19 23 27 32 37 43 49 56
((((((((x div 2) * 2) * 2) * 2) * (2 + 1)) - 1) div (x + 2)) mod 2)
A323095: 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1
(((((x * x) div (2 + 2)) + ((x * 2) * (2 + 1))) div (x + 2)) * 2)
A027709: 0 4 6 8 8 10 10 12 12 12 14 14 14 16 16 16
(((((x + 1) mod (((2 + 2) * (2 + 1)) - 1)) * 2) mod (x + 2)) * 2)
A100817: 0 2 4 6 8 10 12 14 16 18 0 4 8 12 16 20
((x - (((1 - (x * 2)) - ((x * x) div (2 + 2))) div (x + 2))) + 2)
A183856: 2 4 5 7 8 10 11 12 14 15 16 17 19 20 21 22
((x - ((2 - ((((x div 2) + x) div 2) * (x div 2))) div (x + 2))) + 2)
A116591: 1 3 4 5 7 8 10 11 13 13 15 16 18 19 21 22
(((2 mod (((x mod ((x mod 2) + 2)) - x) - 1)) mod 2) + ((x + 2) * 2))
A171136: 4 6 9 10 13 14 17 19 21 22 25 26 29 31 33 34
((((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2)) + ((x + 2) * 2))
A118011: 3 6 8 11 13 15 18 20 22 24 27 29 31 33 35 38
((((x * x) mod ((x * 2) - ((2 - x) div 2))) mod 2) + ((x + 2) * 2))
A175008: 4 7 8 10 13 15 16 19 21 23 24 27 28 31 32 35
((((x - ((2 - x) div (2 + 2))) div (2 + 1)) + x) + ((x + 2) * 2))
A125620: 4 7 10 14
A184118: 4 7 10 14 17 21 24 28 31 34 38 41 45 48 51 55
(x - (((1 - x) - ((x * 2) * 2)) * (x - ((1 - (x * 2)) * 2))))
A154357: 2 13 74 185 346 557 818 1129 1490 1901 2362 2873 3434 4045 4706 5417
((((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) + (x * 2)) * 2)
A125592: 0 6 10 12 18 20 24 30 34 36 40 46 48 54 58 60
(((((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2) + (x * 2)) * 2)
A128309: 2 4 8 14 16 22 26 28 32 38 42 44 50 52 56 62
((((1 mod (((2 + 2) * 2) - (x div 2))) - x) div 2) + ((x * 2) * 2))
A198269: 0 4 7 11 14 18 21 25 28 32 35 39 42 46 49 52
((((((x + 1) * 2) div ((x div 2) + 2)) mod 2) + x) + ((x * 2) * 2))
A313745: 1 5 10 15 20 26 30 36 41 46 51 56 61 66 71 76
((((((x mod ((x div (2 + 1)) + 2)) div 2) div 2) + x) + (x * 2)) + 2)
A189512: 2 5 8 11 14 17 20 23 26 30 32 35 38 41 44 47
(((x - (((1 - (x div 2)) * 2) div ((2 + 2) + 1))) + (x div 2)) + 2)
A188375: 2 3 5 6 9 10 12 13 16 17 19 20 22 23 26 27
((((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2) + (x div 2)) + 2)
A179211: 2 2 3 3 4 4 5 5 6 7 8 8 9 8 9 9
(x - ((((((x div 2) + 2) mod ((2 + 2) + 1)) mod 2) - (x div 2)) - 2))
A287802: 2 3 4 5 8 9 11 12 13 14 17 18 19 20 23 24
((x - ((x * x) div (((((x + 2) + 2) + 1) * 2) - (x div 2)))) + 2)
A275579: 2 3 4 5 5 6 7 7 8 8 8 9 9 10 10 11
((((((x div (2 + 2)) + (x * 2)) * (2 + 1)) div 2) + (x div 2)) + 2)
A086343: 2 5 9 12 17 20 24 27 33 36 40 43 48 51 55 58
((((x * x) div (((((x + 1) div 2) div 2) + 2) + 2)) + (x div 2)) div 2)
A335429: 0 0 1 1 2 3 5 5 7 8 10 11 13 15 17 17
(((((((x div 2) * 2) div ((2 + 2) + 1)) + x) * 2) + (x div 2)) + 2)
A188045: 2 4 7 9 12 14 19 21 24 26 31 33 36 38 41 43
((x + 1) mod (((2 + 2) * (2 + 1)) - ((x * 2) div ((x div 2) + 2))))
A326652: 1 2 3 4 5 6 7 8 9 1 1 3 4 5 6 7
((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) * ((x div 2) - 2))
A231285-A231108: 0 0 0 0 0 0 0 2 0 0 0 6 8 0 0 0
(((x + 2) mod ((((x div 2) * 2) mod (2 + 1)) + 2)) + ((x div 2) mod 2))
A328614-A257511: 0 1 1 2 0 1 1 2 2 3 1 2 0 1 1 2
(x div ((((((1 - x) mod (2 + 1)) + 1) * (2 + 1)) - (x mod 2)) * 2))
A035650: 0 0 0 0 0 0 0 1 0 0 1 0 1 3 0 1
((((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2) + (x mod 2)) * 2)
A144078: 0 2 0 2 0 2 0 2 0 4 2 4 2 2 0 2
(((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) + 2) - (x mod 2)) div 2)
A322305-A020951: 1 0 1 0 1 1 1 0 1 1 2 1 2 1 1 0
((((1 - x) mod (1 - (x div ((0 - 2) - 2)))) + 1) mod ((x mod 2) + 2))
A259864: 1 1 0 1 0 0 0 1 1 1 0 0 0 1 1 2
((((x + 1) div (((x mod (2 + 1)) + 2) + 1)) + 2) div ((x mod 2) + 2))
A066882: 1 0 1 1 1 1 2 1 1 1 2 1 3 1 2 2
((((((x * x) div (2 + 1)) + x) div (2 + 2)) + 2) div ((x mod 2) + 2))
A029140: 1 0 1 1 2 1 3 2 4 3 6 4 8 6 10 8
((2 - (((x * x) + 2) mod ((2 + 2) + 1))) * (1 - ((x mod 2) * 2)))
A100047: 0 1 1 ~1 ~1 0 ~1 ~1 1 1 0 1 1 ~1 ~1 0
((((((x * x) div (2 + 1)) + x) + 1) * (x + 1)) + ((x mod 2) * 2))
A011987: 1 6 12 30 50
((((((x * x) * (x - 1)) div (2 + 1)) + 1) - ((x * x) div 2)) div 2)
A212254: 0 0 0 1 4 11 21 37 59 88 125 172 228 296 376 469
(1 - ((((1 - (x div 2)) mod ((x div ((2 + 2) + 1)) + 1)) - x) div 2))
A316628: 1 2 2 3 3 3 4 5 5 5 5 6 7 7 8 8
(((((x - (((1 - x) * 2) * (2 + 1))) * (2 + 1)) + 1) * x) div 2)
A226491: 0 2 25 69 134 220 327 455 604 774 965 1177 1410 1664 1939 2235
(((((x + 2) * (x + 1)) div (((2 + 2) * (2 + 1)) - 1)) + x) + 2)
A229172: 2 3 5 6 8 10 13 15 18 21 24 27 30 34 37 41
((((((x - 2) mod ((0 - 2) - 2)) mod ((x * 2) + 1)) + 1) + x) div 2)
A160016: 0 2 1 4 6 8 3 10 12 14 5 16 18 20 7 22
(((((((x div (2 + 1)) mod 2) + x) mod ((x div 2) + 1)) + 1) + x) div 2)
A157222: 0 1 1 2 3 3 4 5 6 5 8 6 9 10 10 8
(((x - (((((x - ((x * x) * 2)) * 2) - 1) * 2) - 1)) * x) div 2)
A211545: 0 4 29 99 238 470 819 1309 1964 2808 3865 5159 6714 8554 10703 13185
((((1 - x) mod (((x div 2) - ((x div (2 + 1)) mod 2)) + 1)) + x) + 2)
A234345: 2 3 5 5 7 7 11 11 13 11 13 13 17 17 19 17
(((x div ((((x mod ((x div (2 + 2)) + 2)) + 2) * 2) + 1)) + x) * 2)
A022292: 0 2 4 6 8 10 14 16 18 20 22 24 26 28 30 36
(((x - ((((x - (((x * 2) * 2) * 2)) * 2) * 2) - 1)) * x) div 2)
A022287: 0 15 59 132 234 365 525 714 932 1179 1455 1760 2094 2457 2849 3270
((((x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)) - 1) * x) div 2)
A022286: 0 14 57 129 230 360 519 707 924 1170 1445 1749 2082 2444 2835 3255
((((x mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1)) + x) + 2)
A095815-A063114: 2 4 6 8 10 12 14 16 18 11 12 14 16 18 20 22
((((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + x) + 2)
A166250: 2 3 5 5 8 7 11 11 14 11 17 13 20 19 23 17
(((((((x div 2) * x) div (2 + 2)) + 1) div ((2 + 2) + 1)) + x) + 2)
A236105: 2 3 4 5 6 7 9 10 11 13 14 15 17 19 21 22
((((((x - (x div (2 + 1))) * x) div 2) div ((2 + 2) + 1)) + x) div 2)
A064817: 0 0 1 1 2 3 4 5 6 7 8 9 10 12 14 15
((((((((x - 1) div 2) div 2) * x) div 2) div ((2 + 2) + 1)) + x) + 2)
A225737-A080672-A056757: 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21
((((((1 - x) mod (2 + 2)) + (x * 2)) * ((2 + 2) + 1)) + x) div 2)
A026321: 2 5 18 21 24 27 40 43 46 49 62 65 68 71 84 87
((((((x + 2) * 2) * 2) + x) - 1) * ((((2 + 2) + 1) * x) + 2))
A085036: 14 84 204 374 594 864 1184 1554 1974 2444 2964 3534 4154 4824 5544 6314
((x div ((x div (0 - 2)) - (2 + 1))) + ((((2 + 2) + 1) * x) * 2))
A037085: 0 9 19 29 39 49 59 69 78 88 98 108 118 128 138 148
(((((x - ((2 - x) * (2 + 2))) * x) * ((2 + 2) + 1)) + x) div 2)
A263231: 0 ~7 11 54 122 215 333 476 644 837 1055 1298 1566 1859 2177 2520
(((x - (((((1 - x) * 2) * (2 + 1)) - 1) * (2 + 1))) * x) div 2)
A226490: 0 2 23 63 122 200 297 413 548 702 875 1067 1278 1508 1757 2025
(((((x mod (((x div (2 + 2)) + 1) * 2)) + 1) mod (2 + 1)) + x) div 2)
A267110: 0 1 1 2 2 3 3 4 4 5 6 5 7 6 7 8
((((x - (((x + 2) div (2 + 1)) mod (2 + 1))) div (2 + 1)) + x) + 2)
A031177: 2 3 4 5 6 8 9 11 12 14 15 16 17 18 20 21
((((((x + 2) * x) - ((x - 1) div (2 + 1))) div (2 + 1)) + x) div 2)
A233524: 0 1 2 4 5 8
A095031: 0 1 2 4 5 8 10
A126026: 0 1 2 4 5 8 10 13 17 20 24 28 33 38 43 49
((((1 - (((2 + 2) * 2) mod ((x div 2) + 1))) mod (2 + 1)) + x) div 2)
A244989: 0 1 1 2 3 3 3 4 4 5 6 6 6 6 7 8
(x div (((2 - (((2 - (x div 2)) mod (x + 1)) mod (2 + 1))) + x) div 2))
A080356: 0 1 2 1 1 1 1 1 2 2 2 1 1 1 2 2
(((((((x div 2) + 1) div 2) + ((2 + 1) * 2)) * (2 + 1)) + x) + 2)
A295488: 20 21 25 26 27 28 32
(((((((x div 2) div ((2 + 2) + 1)) + 2) + 2) * (2 + 1)) + x) + 2)
A297278-A296748: 14 15 16 17 18 19 20 21 22 23 27 28 29 30 31 32
((((((x - (x div ((0 - 2) - 2))) div 2) div 2) * (2 + 1)) + x) + 2)
A246293: 2 3 4 8 9 10 14 15 16 20 21 22 23 27 28 29
((x - ((x * x) div ((((x div (2 + 2)) + 2) * (2 + 1)) + x))) + 2)
A089058: 2 3 4 4 5 6 6 6 7 8 8 8 9 9 10 10
(((((((((x - 1) div 2) div 2) * x) div 2) div 2) div (2 + 1)) + x) + 2)
A005524: 2 3 4 5 6 7 8 9 10 12 13 14 16 18 19 20
((2 + 1) div ((((((2 - x) * (x div 2)) div 2) div (2 + 1)) + x) + 2))
A108658: 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3
((x - ((x - (((((x * x) - 1) * x) div 2) div (2 + 1))) * x)) div 2)
A117662: 0 0 0 3 14 40 90 175 308 504 780 1155 1650 2288 3094 4095
((((((2 - x) div 2) div (2 + 1)) - x) div 2) mod (((2 + 1) * x) + 2))
A233473: 0 4 7 9 11 14 16 19 21 23 26 28 31 33 36 38
((((((2 + 2) * (x + 1)) * (x + 1)) - x) * ((2 + 1) * x)) + 2)
A128822: 2 47 206 551 1154 2087 3422 5231 7586 10559 14222 18647 23906 30071 37214 45407
(1 - (((x mod (2 + 1)) - ((((x + 2) * x) div (2 + 1)) + x)) div 2))
A188623: 1 2 2 5 7 8 12 15 17 22 26 29 35 40 44 51
(compr(\x.((2 - (((x div 2) + x) div (2 + 2))) + (x div (2 + 1))),x) + 2)
A345510: 34 37 40 42 43 45 46 48 49 50 51 52 53 54 55 56
(((((((x div 2) + x) * (2 + 1)) + x) * ((x div 2) + 1)) - x) div 2)
A195313: 0 1 10 13 31 36 63 70 106 115 160 171 225 238 301 316
(compr(\x.((((x * 2) * 2) mod (((2 + 2) * 2) - (x mod 2))) - 1),x) + 2)
A285129: 2 4 6 8 9 10 11 12 14 16 18 20 22 23 24 25
(x - (((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * (1 - x)) div 2))
A255184: 0 1 25 72 142 235 351 490 652 837 1045 1276 1530 1807 2107 2430
(x - ((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * (1 - x)) div 2))
A098938-A098923: 0 1 33 96 190 315 471 658 876 1125 1405 1716 2058 2431 2835 3270
(((compr(\x.(((x * 2) mod ((x div (2 + 2)) + 1)) - 1),x) + 1) - x) div 2)
A034403: 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 5
((((((((x + 2) * x) + ((2 + 1) * 2)) * 2) + x) + 1) * x) div 2)
A163655: 0 10 31 69 130 220 345 511 724 990 1315 1705 2166 2704 3325 4035
((((((((x + 2) * x) + ((2 + 2) * 2)) * 2) + x) + 1) * x) div 2)
A163661: 0 12 35 75 138 230 357 525 740 1008 1335 1727 2190 2730 3353 4065
((((((((x + 2) * x) + ((2 + 2) * 2)) * 2) + x) - 1) * x) div 2)
A163673: 0 11 33 72 134 225 351 518 732 999 1325 1716 2178 2717 3339 4050
(((((((x * x) mod ((x + 2) + 2)) + 1) * 2) div (x + 1)) + x) div 2)
A087816: 1 1 2 2 2 3 4 4 4 4 5 5 6 7 8 8
((((x + 2) * (x + 2)) * ((2 + 2) * 2)) + (((x - 1) * x) div 2))
A250756: 32 72 129 203 294 402 527 669 828 1004 1197 1407 1634 1878 2139 2417
(((((((((x * 2) + 1) * 2) * 2) + x) * (x * x)) - 1) * x) div 2)
A047786: 0 6 87 417 1278 3060 6261 11487 19452 30978 46995 68541 96762 132912 178353 234555
((((((x + 1) * 2) div ((x mod ((2 + 2) + 1)) + 1)) mod 2) + x) + 2)
A161659: 2 3 4 5 6 7 9 10 10 11 12 13 14 16 16 17
(compr(\x.((((1 - x) mod ((x div ((x mod 2) + 2)) + 1)) + 1) mod 2),x) + 2)
A155878: 4 8 10 12 14 15 16 18 20 21 22 24 26 27 28 30
(((x div ((((x * x) + 2) mod (((2 + 1) * 2) + 1)) + 2)) + x) + 2)
A344414: 2 3 4 5 6 7 9 10 11 12 13 14 15 17 19 20
((((2 - (2 mod ((((2 - x) + (2 + 1)) * 2) + 1))) div 2) + x) + 2)
A172248: 2 3 4 5 6 8 9 10 12 14 16 18 20 22 24 26
(compr(\x.(1 - ((x + 2) mod ((x mod (((2 + 2) * 2) + 1)) + 2))),x) + 2)
A065877: 11 13 14 15 16 17 19 22 23 25 26 28 29 31 32 33
(((((((((x div 2) + x) + 1) div 2) div 2) * (2 + 1)) div 2) + x) + 2)
A028781: 2 3 5 6 7 10 11 12 14 15 18 19 20 22 23 24
(((((x div ((2 + 2) * 2)) + ((2 + 2) * (2 + 1))) * 2) + x) - 2)
A236404: 22 23 24 25 26 27 28 29 32 33 34 35 36 37 38 39
(((((((x * x) + 1) div 2) * (x - (x div (2 + 1)))) div 2) + x) + 2)
A240802: 2 3 6 10 18 33
((((((x * x) div 2) + 1) mod (((x * x) div (2 + 1)) + 2)) + x) div 2)
A224985: 0 1 1 1 3 4 5 7 9 10 13 15 17 20 23 25
((((x - (x div ((((2 + 2) * 2) - (x div 2)) + 1))) div 2) + x) div 2)
A278617: 0 0 1 2 3 3 4 5 5 6 7 7 8 8 8 9
(((((((x * x) div (2 + 1)) + x) + (2 mod (x + 1))) div 2) + x) div 2)
A111208: 0 0 2 3 4 6 8 9 11 14 16 18 21 24 27 30
((((((((2 + 1) * x) + 2) * x) + 1) * ((x + 1) div 2)) - x) + 2)
A154298: 2 7 17 67
(((((x * 2) + 1) div (2 - (((x div 2) div (0 - 2)) div 2))) + x) div 2)
A005376: 0 1 1 2 3 4 5 6 6 7 7 8 9 9 10 11
(((((((x div 2) * (2 + 1)) + x) * ((x + 1) div 2)) div 2) + x) div 2)
A055607: 0 0 2 4 7 10 14 19 24 30 36 44 51 60 68 79
((x - (((x + 2) * (x + 1)) div ((((2 + 2) * 2) * 2) + x))) + 2)
A094192: 2 3 4 4 5 5 6 6 7 7 7 8 8 8 8 9
((((((2 + 1) * x) + 1) div (((x div (2 + 2)) + 2) + 2)) + x) + 2)
A186352: 2 4 5 7 8 10 11 13 14 15 17 18 19 20 22 23
(compr(\x.(2 - ((x * x) mod (((x - (x div (2 + 2))) + 2) + 2))),x) - 2)
A192225: 0 1 2 5
A288659: 0 1 2 5 6 7 8 9 22 23 24 25 26 27 28 29
((((((2 - (x div ((0 - 2) - 2))) * (x + 2)) div 2) div 2) + x) div 2)
A267302: 0 1 2 3 4 6 7 8 9 11 12 13 14 17 19 20
(((((((((x div 2) * x) mod 2) + 2) * (x div 2)) div 2) div 2) + x) + 2)
A185024: 2 3 4 5 7 8 9 11 12 13 14 16 17 18 19 22
(compr(\x.((x - (x div ((1 - ((2 + 2) * 2)) * 2))) mod (2 + 2)),x) + 2)
A190713: 2 5 9 13 20 24 28 31 35 39 43 46 50 54 58 61
(compr(\x.(1 - ((((x * x) div ((2 + 2) * 2)) - x) mod (2 + 2))),x) * 2)
A098807: 2 4 6 8 10 12 14 18 20 24 28 30 34 36 38 40
(((((x - ((2 - (x div (2 + 2))) div 2)) + (x div 2)) div 2) + x) + 2)
A187833: 1 3 5 6 9 10 12 14 16 17 19 21 23 25 27 28
(x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * ((2 - x) + 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A133059: 0 1 2 3 4 5 6 7 8 9 16 25 36 49 64 81
(((((((x div 2) mod ((2 + 2) + 1)) div (2 + 1)) + x) * 2) + x) div 2)
A093579: 0 1 3 4 6 7 10 11 13 14 15 16 18 19 21 22
(((((((((x * 2) + 1) * 2) * 2) * (2 + 1)) + x) + 2) * x) + 2)
A007533: 2 41 130 269 458 697 986 1325 1714 2153 2642 3181 3770 4409 5098 5837
(((((((x * x) mod (((2 + 2) * 2) + 1)) mod 2) + x) div 2) + x) + 2)
A285354: 2 4 5 6 8 10 11 12 14 15 17 18 20 22 23 24
((((((((0 - x) mod ((x div 2) + 2)) + x) div 2) + x) div 2) + x) + 2)
A287175: 2 4 5 7 9 11 13 15 17 18 20 22 24 25 27 29
((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + x) + 2)
A183569: 2 4 6 7 9 10 12 13 14 16 17 18 20 21 22 23
((((x div (((0 - x) mod (2 + 2)) + 1)) mod 2) + ((x + 2) * x)) div 2)
A156324: 0 1 4 8 12 18 24 32 40 49 60 72 84 98 112 128
(((x div (2 + 1)) + 1) - ((((x + 1) mod (2 + 1)) - 1) mod (x + 2)))
A122918: 1 0 ~2 2 1 ~4 3 2 ~6 4 3 ~8 5 4 ~10 6
(((x * x) mod (((((x * 2) * 2) * 2) div (2 + 1)) + 1)) div (x + 2))
A227740: 0 0 1 0 0 1 0 1 2 0 1 0 0 1 0 1
((((((x - 1) mod (2 + 1)) + (x * 2)) * 2) * (2 + 1)) div (x + 2))
A303134: 6 4 7 9 8 9
((((x * x) * 2) - ((((x + 2) * x) div 2) div (2 + 1))) div (x + 2))
A280762: 0 0 1 3 4 6 8 9 11 13 15 16 18 20 22 24
((((((x + 2) + 2) * (x + 1)) + (x div 2)) * (2 + 1)) div (x + 2))
A248632: 6 10 14 17 21 24 27 30 33 36 39 42 45 48 51 54
((((((x div (2 + 2)) + 2) + 2) * x) + (x mod (2 + 1))) div (x + 2))
A262518: 0 1 2 2 3 3 3 4 5 4 5 5 6 6 6 6
((((((x * 2) * 2) + 1) * 2) + ((x * x) div (2 + 1))) div (x + 2))
A225179: 1 3 4 5 6 7 7 8 8 9 9 10 10 10 11 11
compr(\x.(1 - (x mod (((((x + 1) div 2) div (2 + 1)) + 2) * 2))),(x + 2))
A217129: 3 5 7 8 9 10 11 12 13 14 15 17 18 19 21 22
(2 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (x + 2)))
A278597: 1 2 2 2 3 2 2 3 3 2 2 3 3 3 2 2
compr(\x.((((x * x) - 2) mod ((((2 + 2) * 2) + x) + 2)) mod 2),(x + 2))
A080653: 2 4 5 6 8 10 11 12 13 14 16 18 20 22 23 24
(((((x * x) + (x div 2)) div (((2 + 1) * 2) + 1)) * x) mod (x + 2))
A194761: 0 0 0 3 2 1 6 4 2 9 6 3 0 10 6 2
((((((x - 1) mod (((x div 2) mod 2) + 2)) mod 2) + 2) * x) div (x + 2))
A335225: 0 0 1 1 2 1 1 1 2 1 1 2 2 1 2 1
(((1 - ((x + 2) * x)) div ((((2 + 2) * 2) * 2) + x)) mod (x + 2))
A265912: 0 2 3 4 4 5 5 6 6 7 7 7 8 8 8 8
((((x - 2) div ((x div (2 + 2)) - ((2 + 1) * 2))) + 1) + (x * 2))
A191777: 1 3 5 6 8 10 12 14 15 17 19 20 21 23 25 26
((((((2 + 2) + 1) mod (x + 1)) - x) div ((2 + 2) + 1)) + (x * 2))
A019271: 0 2 4 5 7 10 11 13 15 17 19 20 22 24 26 28
((((((x * x) div (2 + 1)) - x) - (x div 2)) div (2 + 1)) + (x * 2))
A036604: 0 1 3 5 7 10 13 16 19 22 26 30 34 38 42
(((x div ((((x * 2) mod ((2 + 2) + 1)) + 2) + 1)) + 2) + (x * 2))
A345981: 2 4 6 8 10 13 15 17 20 21 25
(((x mod (x - (((x + 2) mod ((2 + 2) * 2)) + 1))) mod 2) + (x * 2))
A059009: 0 2 5 6 8 11 13 14 17 18 20 23 24 27 29 30
(((2 - (((x div ((2 + 2) * 2)) * x) div (2 + 1))) div 2) + (x * 2))
A134322: 1 3 5 7 9 11 13 15 16 17 19 21 23 25 27 28
((((((x div ((2 + 2) * 2)) + x) * (2 + 1)) div 2) div 2) + (x * 2))
A140101: 0 2 5 8 11 13 16 19 22 25 28 31 33 36 39 42
(((((x * 2) - (x mod 2)) * 2) div (((x div 2) + 2) + 2)) + (x * 2))
A236019: 0 2 5 8 10 13 15 17 20 22 24 26 28 31 33 35
((((((2 - (x div 2)) * (x mod 2)) + 1) mod (x + 2)) mod 2) + (x * 2))
A285347: 1 2 5 6 9 11 13 14 17 18 21 23 25 26 29 31
((1 mod (((((2 - x) + (2 + 1)) * (2 + 1)) + x) * 2)) + (x * 2))
A206545: 1 3 5 7 9 11 13 15 15 13 11 9 7 5 3 1
((((2 - ((x - ((x div 2) mod (2 + 2))) div 2)) div 2) + x) + (x * 2))
A285210: 1 4 7 9 12 15 18 21 23 26 29 31 34 37 40 43
(((((x * x) - (((x div 2) mod 2) * 2)) * (2 + 1)) + 1) - (x div 2))
A231407: 1 4 6
A151520: 1 4 6 21 47
((((x - (x div ((((x mod 2) - 2) - 2) - 1))) * 2) + 1) + (x div 2))
A022160: 1 5 8 10 13 17 20 22 25 29 30 34 37 41 42 46
((((((x + 2) * x) div 2) + ((x mod (2 + 1)) div 2)) + 1) + (x div 2))
A106352: 1 2 7 9 15 21 28 35 46 54 66 78 91 104 121 135
(((((((x * x) div ((2 + 2) * 2)) + 1) div 2) * 2) + 1) + (x div 2))
A258376: 1 1 2 4 5 7 8 10 13 15 18 22 25 29 32 36
((x mod (((((0 - x) * x) mod ((x div 2) + 2)) div 2) + 1)) + (x div 2))
A266341: 0 0 1 1 2 3 3 3 4 5 6 7 6 7 7 7
((((x + 1) div ((((x div 2) - (x mod 2)) div 2) + 2)) + 1) + (x div 2))
A108942: 1 3 3 4 4 6 6 6 7 8 8
(((((x - (x div ((x div (2 + 2)) + 1))) div 2) + x) + 1) + (x div 2))
A096603: 1 2 4 5 8 9 11 13 16 17 19 21 23 25 27 29
(((x div ((((x + 1) div (2 + 1)) mod (2 + 2)) + 1)) mod 2) + (x div 2))
A189709: 0 1 2 2 2 3 3 3 4 4 5 6 6 7 8 8
(((x - ((((x div 2) * 2) - 1) div ((2 + 2) + 1))) * 2) + (x div 2))
A188468-A005653: 2 4 5 7 10 12 13 15 18 20 23 25 26 28 31 33
(((2 - (x div ((((2 + 2) * 2) - (x div 2)) + 1))) div 2) + (x div 2))
A114214: 1 1 2 2 3 3 3 3 4 4 5 5 5 5 4 4
((((((x - 1) * x) div 2) div (2 + 1)) * ((x - 1) div 2)) * (x div 2))
A212519: 0 0 0 1 4 12 30 63 108 192 300 450 660 936 1260 1715
((((2 - x) * 2) div ((((x div 2) div (2 + 1)) + 2) + 2)) + (x div 2))
A046773: 1 0 1 0 1 0 1 1 1 1 1 1 2 2 3 2
(((x * x) div ((((x div ((2 + 2) + 1)) mod 2) + x) + 2)) - (x div 2))
A268383: 0 0 0 0 0 1 1 1 1 2 3 4 4 5 5 5
(((1 - ((((x - 2) * x) mod ((x div 2) + 1)) mod 2)) + x) - (x div 2))
A248801: 1 2 2 2 3 4 4 4 4 5 6 6 6 7 8 8
((2 - ((1 - x) div ((((x mod 2) + 1) * (2 + 1)) + 1))) + (x mod 2))
A177876: 2 3 3 4
A179846: 2 3 3 4 3 4 4 4 4 5 5 5 5 5 6 5
(((((x + 2) - (2 div ((x div (2 + 2)) + 1))) * 2) + 1) - (x mod 2))
A284488: 1 2 5 6 11 12 15 16 21 22 25 26 29 30 33 34
(((((2 - (x * x)) div (((x div 2) + 2) + 2)) mod 2) + 1) - (x mod 2))
A026613: 1 0 2 0 2 0 2 1 1 0 2 0 2 1 1 1
(((((x * 2) + 1) * (2 + 1)) * (((2 + 2) * 2) + 1)) - (x mod 2))
A129254: 27 80 135 188 243 296 351 404 459 512 567 620 675 728 783 836
(((((x div 2) + (x * 2)) * 2) mod (((2 + 2) * 2) + 1)) + (x mod 2))
A180595: 0 5 1 6 2 7 3 8 4 9 5 1 6 2 7 3
((2 - (((x + 2) * 2) mod (((x div (2 + 2)) * 2) + 1))) * (x mod 2))
A079208: 0 2 0 2 0 0 0 2 0 0 0 1 0 0 0
(((((x div ((2 + 2) * 2)) + 2) * ((x div 2) mod 2)) + 1) * (x mod 2))
A053385: 0 1 0 3 0 1 0 3 0 1 0 4 0 1 0 4
(((((x - (x div (2 + 1))) mod (2 + 1)) - 1) * (2 + 1)) * (x mod 2))
A158678: 0 0 0 3 0 0 0 3 0 ~3 0 3 0 ~3 0 0
(((((x div (((2 + 1) * 2) + 1)) mod 2) * 2) * (2 + 1)) + (x mod 2))
A093349: 0 1 0 1 0 1 0 7 6 7 6 7 6 7 0 1
((((x mod (((x div 2) mod (2 + 1)) + 2)) + 2) mod (2 + 1)) + (x mod 2))
A323756: 2 1 1 3 2 1 2 1 1 3 1 3 2 1 1 3
((1 - (((x - 1) mod ((x div (2 + 2)) + 2)) mod (2 + 1))) * (x mod 2))
A289741: 0 1 0 1 0 0 0 1 0 1 0 ~1 0 ~1 0 0
((1 - (((x + 2) * x) div (1 - ((2 + 2) * (2 + 1))))) - (x mod 2))
A029010: 1 1 2 2 4 4 6 6 9 9 12 13 17 18 22 24
(((x mod (((x + 1) mod (((2 + 1) * 2) + 1)) + 1)) mod 2) - (x mod 2))
A178779: 0 0 0 0 0 0 0 0 0 0 0 0 1 ~1 0 ~1
(((((x - (2 + 1)) * 2) div ((x div (2 + 1)) + 1)) mod 2) + (x mod 2))
A033264: 0 1 0 1 1 1 0 1 1 2 1 1 1 1 0 1
((((((x div 2) * x) - 2) mod ((x div (2 + 1)) + 1)) mod 2) + (x mod 2))
A101660: 0 1 0 2 0 1 1 2 0 1 0 2 0 2 1 2
(((((x + 2) + 1) div (((2 + 2) mod (x + 1)) + 1)) mod 2) + (x mod 2))
A342595: 1 1 0 1 1 2 1 1 0 1 0 1 1 2 1 2
((((((x + 1) div 2) * (x - 1)) div ((2 + 2) + 1)) mod 2) - (x mod 2))
A295304: 0 ~1 0 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 0 ~1
(((((x mod ((x div 2) + 1)) div (2 + 1)) * (2 + 1)) div 2) + (x mod 2))
A247050: 0 1 0 1 0 1 0 2 1 2 1 2 1 4 3 4
(((((1 - (x mod (2 + 2))) mod (x + 1)) mod (2 + 1)) mod 2) + (x mod 2))
A037870: 0 1 0 1 1 1 0 1 1 1 1 2 1 1 0 1
((1 - (x div (((x div ((0 - 2) - 2)) * (2 + 1)) - 2))) - (x mod 2))
A078313: 1 1 2 1 2 1 2 1 2 1 2 1 3 1 2 2
(((x - ((x div 2) div (2 + 1))) div ((x div (2 + 1)) + 2)) + (x mod 2))
A323880: 0 1 1 2 1 2 1 2 1 2 1 3 1 2 2 2
((((((x div 2) mod 2) * (2 + 1)) - (x mod (2 + 1))) div 2) * (x mod 2))
A228557: 0 ~1 0 1 0 ~1 0 1 0 0 0 0 0 ~1 0 1
((((((2 + 2) + 1) * (1 - x)) mod ((x div 2) + 1)) mod 2) + (x mod 2))
A104234: 0 1 1 1 0 2 1 1 0 1 1 1 1 2 1 1
(((((x * x) - 2) mod ((((2 + 2) * 2) + x) + 1)) mod 2) + (x mod 2))
A341345: 1 2 0 2 1 2 0 2 1 2 1 2 0 2 0 2
((((((1 - x) * (x - 1)) mod ((x div 2) + 1)) div 2) mod 2) + (x mod 2))
A340379: 0 1 0 1 0 2 1 1 0 1 1 2 0 2 1 1
((x div ((x div ((((x div 2) mod (2 + 1)) mod 2) + 2)) + 2)) + (x mod 2))
A036430: 0 1 1 2 1 2 1 2 2 2 1 2 1 2 2 3
(((((x + 2) div (((1 - x) mod (2 + 1)) + 2)) mod 2) * 2) - (x mod 2))
A165575: 0 1 2 1 2 1 0 ~1 0 1 0 1 0 1 0 1
(((x mod (((x div 2) - ((x mod (2 + 1)) div 2)) + 2)) div 2) + (x mod 2))
A035434: 0 1 0 1 0 2 0 2 1 2 1 3 2 3 3 4
((((((2 + 1) * x) - ((0 - x) mod (2 + 2))) * 2) * 2) + (x mod 2))
A151981: 0 1 16 33 48 49 64 81 96 97 112 129 144 145 160 177
((((((2 + 2) * 2) * 2) + 1) * ((x * x) div (2 + 2))) + (x mod 2))
A195047: 0 1 17 35 68 103 153 205 272 341 425 511 612 715 833 953
(((x div ((x div ((x mod (2 + 2)) + 2)) + 2)) + 1) div (2 - (x mod 2)))
A290090: 0 1 1 2 1 2 1 3 1 2 1 3 1 3 1 4
((x div ((x div (((2 - x) mod (2 + 2)) + 1)) + 2)) div (2 - (x mod 2)))
A083661: 0 0 0 1 0 1 0 2 1 1 0 2 1 1 0 3
(((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 2) div (2 - (x mod 2)))
A330756: 1 2 1 3 1 4 1 5 2 6 1 7 1 8 2 9
(((((x * 2) * (2 + 1)) + (x div (2 + 1))) div (x + 2)) - (x mod 2))
A007456: 0 1 3 2 4 3 4 3 5 4 5 4 5 4 5 4
(((((((x * 2) * (x + 1)) + 1) * ((x * 2) + 1)) + x) * x) div 2)
A247112: 0 8 67 267 746 1690 3333 5957 9892 15516 23255 33583 47022 64142 85561 111945
((((((x * 2) + 1) * (x + 2)) div (2 + 1)) + 1) + ((x * x) div 2))
A213495: 1 4 9 16 27 38 53 70 89 110 135 160 189 220 253 288
((((((x + 2) * x) * 2) * (x + 1)) div (2 + 1)) - ((x * x) div 2))
A213045: 0 4 14 36 72 128 206 312 448 620 830 1084 1384 1736 2142 2608
(((((((x * x) * 2) + 1) * x) * 2) div (2 + 1)) - ((x * x) div 2))
A059924: 0 2 10 34 80 158 274 438 656 938 1290 1722 2240 2854 3570 4398
((((((((x * x) * x) * (x * x)) + 1) * x) * x) * (x * x)) div 2)
A168196: 0 1 264 9882 131200 976875 5039496 20178004 67110912 193713525 500005000 1178981166 2579900544 5302263967 10330542600 19221705000
(((1 - x) div ((x mod ((x mod ((2 - (x mod 2)) + 1)) + 1)) + 1)) + x)
A341866: 1 1 1 2 1 3 1 4 5 5 1 6 1 7 9 8
compr(\x.((x div (((x div ((x mod ((2 + 2) * 2)) + 1)) * 2) - 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A032344-A023764: 0 1 2 3 4 5 6 7 8 9 16 17 18 24 25 26
compr(\x.(((x mod (2 + 2)) - ((x + 1) mod (((2 + 1) * 2) + 1))) + 1),x)
A004827: 0 1 2 3 4 5 8 9 10 11 12 16 17 18 19 24
compr(\x.((x mod ((((0 - x) mod ((x div (2 + 1)) + 2)) div 2) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A191889: 0 1 2 3 4 5 6 7 8 9 10 12 13 16 19 21
compr(\x.((x mod (((x mod (((x div 2) mod (0 - 2)) - 2)) * 2) - 1)) + 1),x)
A013660: 1 2 5 7 11
A243047: 1 2 5 7 11 13 14 17 19 22 23 25 26 29 31 34
compr(\x.(((x div 2) mod ((((((x + 1) div 2) div 2) div 2) * 2) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A259624: 0 1 2 3 4 5 6 7 8 9 12 13 14 20 21 22
compr(\x.((x mod (((x div (1 - ((x mod (2 + 2)) * 2))) * 2) + 1)) + 1),x)
A126949: 5 7 9 10 11 13 14 17 18 19 21 22 23 25 26 27
compr(\x.((x + 1) mod ((((x + 2) * x) mod (((2 + 2) * 2) + 1)) - 1)),x)
A010383: 0 1 4 7 9 15 16 18
compr(\x.((x + 1) mod ((x mod (((1 - x) mod ((2 + 2) * 2)) + 1)) + 1)),x)
A067570: 0 1 2 3 4 5 7
A051204: 0 1 2 3 4 5 7 8 9 12 14 15 16 17 20 21
compr(\x.((x mod ((((x div 2) - (x * x)) mod ((2 + 2) * 2)) + 1)) - 1),x)
A153329: 0 1 3 4 5 7 9 10 11 13 15 16 17 18 19 21
compr(\x.(((2 - (x div 2)) * x) mod (((x - 1) mod ((2 + 2) + 1)) + 1)),x)
A023761: 0 1 2 3 4 5 6 10 11 12 15 16 17 18 20 21
compr(\x.((2 - ((((x + 1) * x) div (2 + 2)) mod ((2 + 2) + 1))) + 1),x)
A174871: 3 7 8 11 12 16 23 27 28 31 32 36 43 47 48 51
compr(\x.((x + 1) mod (((1 - x) mod (((2 - (x mod 2)) * 2) + 1)) + 1)),x)
A181766: 1 3 5 6 7 9 11 13 14 15 16 17 19 21 23 25
compr(\x.(1 - (x mod (((((x div (0 - 2)) mod 2) + 1) * (2 + 1)) + 1))),x)
A001948: 1 2 3 5 6 7 9 10 11 13 15 17 18 19 22 23
compr(\x.(x mod ((((x div (2 + 2)) + 2) * ((x - 1) mod (2 + 1))) + 1)),x)
A010380: 0 1 4 7 9 10 13 16
A010389: 0 1 4 7 9 10 13 16 19 22 25
((((((((x * x) * (x + 2)) + 1) div 2) div 2) * (2 + 1)) + 1) + x)
A213487: 1 5 15 37 77 138 223 338 489 679 911 1191 1525 1916 2367 2884
compr(\x.((x - ((((x - (x div (2 + 2))) div 2) - 2) * (2 + 1))) - 1),x)
A345480: 31 34 37 39 40 42 43 45 46 47 48 49 50 51 52 53
compr(\x.((x - (((((x div 2) + x) div (2 + 2)) - 2) * (2 + 1))) + 1),x)
A345494: 56 59 62 64 65 67 68 70 71 72 73 74 75 76 77 78
(((x div (((2 + 1) * 2) + 1)) * (((2 + 2) * (2 + 1)) + 1)) + x)
A024639: 0 1 2 3 4 5 6 20 21 22 23 24 25 26 40 41
compr(\x.((x - 1) mod (x - ((x + 1) mod (((2 + 2) * (2 + 1)) + 1)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A048336-A048323-A048309-A029957: 0 1 2 3 4 5 6 7 8 9 10 11 13 26 39 52
compr(\x.((x - 1) mod (x - ((x + 1) mod (((2 + 2) * (2 + 1)) - 1)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A344550-A343524-A335779-A306273-A295010-A266140-A257054-A244514-A240601-A175688-A141033-A109882-A048321-A048307-A030285-A010785-A002113: 0 1 2 3 4 5 6 7 8 9 11 22 33 44 55 66
((((((((x * x) div 2) + 2) + 1) div (x + 2)) * (2 + 1)) - 1) - x)
A083056: 2 1 0 ~1 ~2 0 ~1 1 0 ~1 1 0 2 1 3 2
compr(\x.(1 - (((((2 + 1) * x) + 2) * x) mod ((x div (2 + 1)) + 1))),x)
A025051: 3 5 7 8 9 11 12 13 14 15 16 17 19 20 21 23
compr(\x.((((x div ((2 + 2) + 1)) mod (2 + 1)) - (x mod (2 + 1))) + 1),x)
A194415: 1 2 4 5 8 16 17 19 20 23 31 32 34 35 38 46
compr(\x.((((x div ((2 + 2) + 1)) * (2 + 1)) mod ((x div 2) + 1)) - 1),x)
A032860: 0 1 2 3 4 5 10 11 15 16 17 20 21 22 23 26
compr(\x.(((x * 2) + 1) mod (((((x mod 2) * 2) * 2) mod (x + 1)) + 1)),x)
A257282: 0 1 2 3 4 6 7 8 10 12 14 16 17 18 20 22
compr(\x.(((x + 2) mod ((x mod (((2 + 2) * (2 + 1)) - 1)) + 2)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A061430: 0 1 2 3 4 5 6 7 8 9 10 11 14 19 20 22
compr(\x.((((x - 1) mod ((((x mod (2 + 1)) + 2) * 2) + 1)) div 2) - 1),x)
A145733: 1 2 3 4 6 9 10 11 12 16 18
(((x div ((((x div 2) * (x div 2)) div ((2 + 2) + 1)) + 2)) + 1) + x)
A178344: 1 2 4 5 7 8 9 10 10 11 12 13 14 15 16 17
((2 - ((1 - x) div ((((2 - x) mod ((2 + 2) + 1)) * 2) + 1))) + x)
A323252: 2 3 5 6 7 8 10 15
compr(\x.(x mod (((x - 1) mod (((x mod (2 + 1)) * (2 + 1)) + 2)) + 1)),x)
A062849: 0 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20
((x div ((((((x div 2) div (2 + 1)) + 2) mod (2 + 1)) + 2) + 1)) + x)
A156657: 0 1 2 3 4 6 8 9 10 12 13 14 15 16 17 18
((1 - ((x - 2) mod ((((x div (2 + 2)) * (2 + 1)) div 2) + 1))) + x)
A094802: 1 2 3 4 5 5 7 7 7 7 11 11 13 13 13 13
(1 mod (((((2 - x) * (x - 2)) div 2) * (((2 + 1) * 2) + 1)) + x))
A277125: ~13 ~5 1 ~3
(((x div (1 - ((2 + 2) * 2))) * (x mod (((2 + 1) * 2) + 1))) + x)
A194755: 0 0 0 0 0 0 0 7 6 5 4 3 2 1 14 12
compr(\x.(1 - ((x mod ((2 + 2) * 2)) - (x mod (((2 + 1) * 2) + 1)))),x)
A297261-A297138-A296705: 7 14 15 21 22 23 28 29 30 31 35 36 37 38 39 42
(((((x * x) * (x * x)) * (x * x)) + (((2 + 1) * 2) + 1)) * x)
A180357: 0 8 142 2208 16412 78160 279978 823592 2097208 4783032 10000070 19487248 35831892 62748608 105413602 170859480
compr(\x.((x + 1) mod (((1 - x) mod (((2 + 2) mod (x + 1)) + 2)) + 1)),x)
A325395: 1 2 3 5 7 9 11 13 17 19 23 25 29 31 35 37
(((x div (((x div (2 + 2)) + 2) + ((x div (0 - 2)) mod 2))) + 1) + x)
A031975: 1 2 3 5 6 7 8 10 11 11 13 14 15 16 17 19
compr(\x.((x mod ((1 - (((x div 2) mod ((2 + 2) + 1)) * 2)) * 2)) + 1),x)
A154660: 3 4 5 6 7 8
A075493: 3 4 5 6 7 8 9 13 14 15 16 17 18 19 23 25
compr(\x.(1 - (x mod (((((x * x) div 2) mod ((2 + 1) * 2)) + 2) + 1))),x)
A094387: 1 2 3 4 5 7 8 9 11 13 14 15 16 17 19 22
compr(\x.(1 - (x mod ((x mod ((2 - (x mod ((0 - 2) - 2))) + 2)) + 1))),x)
A325162: 1 2 3 5 7 11 13 14 17 19 22 23 26 29 31 33
compr(\x.((x + 1) mod (((((x mod ((x mod 2) + 2)) div 2) + 2) + 2) + 1)),x)
A162698: 4 5 9 11 14 17 19 23 24 29 34 35 39 41 44 47
((((((x * 2) - 1) * x) * 2) div ((((2 + 2) * 2) * 2) + 1)) + x)
A194172: 0 1 2 4 7 10 13 17 22 27 32 38 44 51 58 66
compr(\x.((x - 1) mod (x - ((x + 1) mod ((((2 + 2) * 2) * 2) - 1)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A048338-A048325-A048311-A029959: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 30
((((x - (((x div (2 + 1)) + (x div 2)) mod (2 + 2))) div 2) + 1) + x)
A331593-A210994: 1 2 3 4 5 7 9 11 12 13 16 17 18 19 20 23
compr(\x.(((x - ((x div 2) div ((2 + 2) + 1))) mod ((2 + 2) * 2)) - 1),x)
A130881: 0 1 8 9 10 17 18 26 27 35 36 44 45 53 54 62
((((((x mod 2) + x) * 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) + x)
A263194: 0 109 110 219 220 329 330 439 440 549 550 659 660 769 770 879
(((2 div (((2 + 2) * 2) - (x div 2))) * (((2 + 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A064222: 0 1 2 3 4 5 6 7 8 9 10 11 21 22 32 33
(((((x div ((2 + 2) + 1)) + 1) * x) div (((2 + 2) * 2) + 1)) + x)
A059325: 0 1 2 3 4 6 7 8 9 11 13 14 16 17 18 21
compr(\x.(1 - (x mod (((((x div 2) + 2) mod ((x mod 2) + 2)) * 2) + 1))),x)
A261034: 1 2 5 7 10 11 13 14 17 19 22 23 26 29 31 34
(((2 - (2 div ((x div ((2 + 2) + 1)) + 1))) * ((2 + 2) + 1)) + x)
A174139: 0 1 2 3 4 10 11 12 13 14 20 21 22 23 24 25
(((x - ((((x + 1) div 2) div (2 + 1)) - 1)) * ((2 + 2) + 1)) + x)
A000966: 5 11 17 23 29 30 36 42 48 54 60 61 67 73 79 85
compr(\x.(2 - ((((x * 2) - ((x div 2) mod 2)) + 1) mod ((2 + 2) + 1))),x)
A285416: 1 2 4 6 7 8 9 11 13 14 16 19 21 22 24 26
compr(\x.((((x div ((2 + 2) + 1)) + 1) * (x + 1)) mod ((2 + 2) + 1)),x)
A337572: 4 9 14 19 20 21 22 23 24 29 34 39 44 45 46 47
((((x + 2) div ((2 + 2) + 1)) * ((x - 1) div ((2 + 2) + 1))) + x)
A067570: 0 1 2 3 4 5 7
A037014: 0 1 2 3 4 5 7 8 10 11 12 15 16 19 20 21
((((((x * 2) * 2) * ((2 + 2) + 1)) + 2) * ((2 + 2) + 1)) + x)
A159551: 10 111 212 313 414 515 616 717 818 919 1020 1121 1222 1323 1424 1525
compr(\x.(2 - (((x * x) - ((x div (2 + 2)) mod 2)) mod ((2 + 2) + 1))),x)
A112055: 2 3 5 7 8 12 13 15 17 18 20 22 23 27 28 30
((x div (((((x div 2) mod ((2 + 2) + 1)) - x) div (2 + 2)) - 1)) + x)
A080087: 0 0 1 1 2 2 3 3 4 6 7 8 9 9 10 12
compr(\x.(1 - (x mod ((((x div 2) div (2 + 1)) + (x mod (2 + 2))) + 1))),x)
A336224-A336222-A274034-A252895-A197680: 1 2 3 5 6 7 10 11 13 14 15 16 17 19 21 22
compr(\x.(1 - (x mod (((((2 + 1) * x) - 1) mod ((x + 2) + 2)) + 1))),x)
A116545: 1 2 3 5 6 7 8 11 13 14 15 17 18 19 20 21
((((x + 1) div (2 + 1)) - ((x * 2) div (((x div 2) + 2) + 1))) * x)
A308809: 0 0 0 0 0 0 0 0 8 9 10 22 24 26 42 30
(((((((x div 2) - (x mod 2)) + 2) * (2 + 1)) + 1) * (2 + 1)) + x)
A118296: 21 13 32 24 43 35 54 46 65 57 76 68 87 79 98 90
(((1 - ((x + 1) mod ((x mod ((2 + 1) * 2)) + 1))) mod (2 + 1)) + x)
A239088: 1 2 3 4 5 6 7 8 9 11 10 12 13 14 15 16
compr(\x.(1 - ((((x * x) * 2) div (((x + 1) div 2) + 1)) mod (2 + 1))),x)
A182654: 1 2 4 7 8 11 12 14 15 16 18 19 21 22 24 25
compr(\x.(1 - ((x mod (((x mod ((0 - 2) - 2)) - 2) - 1)) mod (2 + 1))),x)
A044951: 1 3 4 5 6 7 8 11 13 14 15 16 17 18 19 20
compr(\x.(1 - (((x * x) mod ((((x + 2) * 2) * 2) - 1)) mod (2 + 1))),x)
A345921: 1 2 4 5 6 7 8 9 11 12 14 16 17 18 19 20
compr(\x.((x - (1 - (((x * x) * 2) mod ((2 + 2) + 1)))) mod (2 + 1)),x)
A194418: 7 10 11 13 14 22 25 26 28 29 37 40 41 43 44 52
(((1 - (x mod (((2 - x) div 2) - (x mod (2 + 1))))) mod (2 + 1)) + x)
A065307-A065306: 1 2 3 4 5 6 7 9 8 10 11 12 13 15 14 16
compr(\x.((2 - (x mod (((2 + 2) + 1) * 2))) + ((x + 1) mod (2 + 1))),x)
A342226-A066310: 2 3 4 5 6 7 8 9 14 15 16 17 18 19 23 24
(((x * x) div ((((x + 2) + 2) * 2) - ((x - 1) div (2 + 1)))) + x)
A038161: 0 1 2 3 5 6 7 9 10 12 14 15 16 18 20 21
((((1 - ((2 - x) div ((2 + 2) * (2 + 1)))) * 2) * (2 + 1)) + x)
A272344: 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 33
(((((((((x div 2) - 1) div 2) * x) div 2) + 1) div 2) div (2 + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A191841: 0 1 2 3 4 5 6 7 8 9 11 13 14 15 17 18
(((((x div (2 + 2)) + 1) div 2) + (((x + 1) div 2) div (2 + 1))) + x)
A039103: 0 1 2 3 5 7 8 9 10 11 12 14 16 17 18 19
((((((x * x) div (((x + 2) + 2) + 1)) + 2) * 2) div (2 + 1)) + x)
A282131: 1 2 3 5 6 7 9 11 12 13 15 17 18 20 22 23
((((((((x div 2) mod 2) + x) div (2 + 1)) + 2) * 2) div (2 + 1)) + x)
A039158: 1 2 4 5 6 7 8 9 10 12 13 15 16 17 18 19
((((((((x div (2 + 2)) mod 2) + 1) * 2) * 2) * 2) + (2 + 1)) - x)
A004452: 11 10 9 8 15 14 13 12 3 2 1 0 7 6 5 4
((x + 2) div (((((x div ((2 + 2) * 2)) + 2) * 2) * (2 + 1)) - x))
A033106: 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4 5
compr(\x.(1 - (x mod (2 - (((x div ((2 + 2) * 2)) - 2) * (2 + 1))))),x)
A330697: 1 2 3 4 5 6 7 8 9 11 12 13 14 17 19 21
compr(\x.((x + 2) - ((((x - (x div (2 + 2))) div 2) - 2) * (2 + 1))),x)
A345483: 55 58 61 63 64 66 67 69 70 71 72 73 74 75 76 77
(((x - (((x * x) * 2) div (1 - ((2 + 2) * 2)))) div (2 + 1)) + x)
A174059: 0 1 3 5 7 9 11 14 17 20 23 26 30 33 37 41
((((((((x div 2) - 1) div (2 + 1)) * x) div 2) + 2) div (2 + 1)) + x)
A084690: 0 1 2 3 4 5 6 7 10
A023777: 0 1 2 3 4 5 6 7 10 11 12 13 14 15 19 20
(((((((x * 2) * 2) * (2 + 1)) div (x + 2)) * 2) div (2 + 1)) + x)
A157319: 0 3 6 7 9 10 12 13 14 15 16 17 18 19 20 21
(((((x mod ((2 + 2) + 1)) div 2) - 1) mod (2 + 1)) + ((2 + 1) * x))
A190678: 2 5 6 9 13 17 20 21 24 28 32 35 36 39 43 47
((((((x div 2) + x) div (2 + 2)) - 1) mod (2 + 1)) + ((2 + 1) * x))
A190768: 2 5 8 9 12 15 19 22 26 29 32 33 36 39 43 46
((((((x - (x mod ((0 - 2) - 1))) div 2) div 2) + x) * (2 + 1)) + x)
A045750: 0 4 8 12 19 23 27 34 38 42 49 53 57 61 65 69
(((((2 + 2) mod ((x div (2 + 1)) + 1)) + 1) + (x div (2 + 1))) + x)
A061854: 1 2 3 5 6 7 10 11 12 13 14 15 21 22 23 25
compr(\x.(((((0 - x) * 2) mod ((2 + 2) + 1)) * 2) - (x div (2 + 1))),x)
A123122: 0 5 7 10 12 14 15 17 19 20 21 22 24 25 26 27
(((((x + 1) div ((x mod (2 + 2)) + 1)) mod 2) + (x div (2 + 1))) + x)
A079111: 1 2 3 5 6 7 8 9 11 13 14 15 17 18 19 20
compr(\x.(((x - ((x div 2) div ((2 + 2) + 1))) mod 2) + (x mod (2 + 1))),x)
A274319: 0 6 15 24 33 39 42 48 51 57 60 66 75 84 93 99
((((2 + 1) * x) div ((((((2 + 2) * 2) * 2) - x) * 2) - 1)) + x)
A295796: 0 1 2 3 4 5 6 8 9 11 12 14 17 20
(((((x - (x div ((0 - 2) - 2))) * 2) * 2) div ((x + 2) + 1)) + x)
A103202: 0 3 4 5 6 8 9 10 11 13 14 15 16 17 18 19
((((x div (((x div 2) div (2 + 1)) + 2)) + 1) mod ((x div 2) + 1)) + x)
A328119: 0 1 2 3 4 5 9 10 11 13 14 15 16 17 18 19
((((x * x) * 2) div (((2 + 2) * (2 + 1)) + ((x div 2) + 1))) + x)
A053044: 0 1 2 4 6 8 10 13 15 18 21 24 27 30 33 37
((((((((((x + 2) * x) + 2) * 2) + 1) * 2) + 1) * x) + 1) * x)
A166756: 0 24 174 642 1716 3780 7314 12894 21192 32976 49110 70554 98364 133692 177786 231990
((compr(\x.((((x * x) * x) mod ((x div (2 + 2)) + 2)) - 1),x) + 1) - x)
A010671: 1 1 1 1 1 2 2 2 2 2 6 8
(((((((x + 1) * x) + 1) div (((x div 2) + x) + 2)) * x) + 1) + x)
A345890: 1 3 5 10 13 21 25 36 49 64 71 89 97 118 141 166
(((2 - ((((2 + 1) * 2) + 1) * (x div (0 - 2)))) * (x + 1)) + x)
A120276: 2 19 29 67
(compr(\x.(1 - (x mod (((x * x) mod ((2 + 1) * 2)) + 2))),(x + 1)) + x)
A190327: 2 4 6 8 11 13 15 17 19 22 24 27 29 32 34 36
compr(\x.(x mod (x - ((((((2 + 2) * 2) * 2) * 2) * 2) div (x + 1)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004861: 0 1 2 3 4 5 6 7 8 9 10 64 65 66 67 68
(((((((x + 2) * x) + ((2 + 1) * 2)) * x) + 2) * (x + 1)) + x)
A270868: 2 23 92 263 614 1247 2288 3887 6218 9479 13892 19703 27182 36623 48344 62687
((((((x - 1) * x) * ((2 + 2) + 1)) + 2) * x) * ((x + 1) * x))
A134631: 0 4 144 1152 4960 15300 38304 83104 162432 293220 497200 801504 1239264 1850212 2681280 3787200
((((((((x + 2) * x) + (2 + 1)) * 2) * 2) + x) * (x + 1)) - x)
A307921: 12 49 136 297 556 937 1464 2161 3052 4161 5512 7129 9036 11257 13816 16737
compr(\x.((((x * x) mod ((((0 - 2) - 2) * (2 + 1)) - 1)) + 1) mod 2),x)
A028726: 2 5 6 7 8 11
A028739: 2 5 6 7 8 11 15 18 19 20 21 24
compr(\x.((((x * x) mod (((x div ((x mod 2) + 2)) * 2) + 1)) + 1) mod 2),x)
A337140: 2 4 5 6 8 10 12 13 14 15 16 17 18 20 22 24
compr(\x.((((x + 2) + 1) mod (((x + 2) div ((2 + 2) + 1)) + 1)) mod 2),x)
A228373: 0 1 2 3 5 7 8 9 11 12 13 15 17 19 21 22
compr(\x.(2 - (x mod ((x div ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 2))),x)
A228651: 4 6 8 9 10 11 12 13 14 16 17 18 20 21 22 23
(((((x - 1) * (2 + 1)) div ((2 - (x div (0 - 2))) + 1)) + 2) + x)
A225647: 1 3 4 6 7
A061208: 1 3 4 6 7 9 10 11 13 14 15 16 17 18 19 20
compr(\x.(((x - 1) div ((((0 - x) mod ((2 + 2) + 1)) * 2) + 1)) mod 2),x)
A074780: 1 2 3 5 6 7 9 13 14 15 17 19 21 23 25 26
compr(\x.(((x mod ((((x - 1) mod (2 + 2)) * (2 + 1)) + 2)) + 1) mod 2),x)
A154611: 1 3 5 6 7 9 11 12 13 15 16 17 18 19 20 21
((((((x div 2) + 2) + (2 + 2)) * (((2 + 1) * 2) + 1)) div 2) + x)
A295747: 21 22 26 27 32
compr(\x.((x - 1) mod (x - ((x + 1) mod ((((2 + 1) * 2) + 1) * 2)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A048337-A048324-A048310-A029958: 0 1 2 3 4 5 6 7 8 9 10 11 12 14 28 42
((((((1 - ((x - 1) div (2 + 1))) mod (x + 1)) div 2) + 1) div 2) + x)
A236562: 0 1 2 3 4 5 6 9 10 11 12 14 15 16 17 18
compr(\x.((x mod (((x mod (((x mod (2 + 1)) + 1) * 2)) * 2) + 1)) - 2),x)
A020756: 0 1 2 3 4 6 7 9 10 11 12 13 15 16 18 20
(((((((((1 - x) div 2) - 1) mod (2 + 2)) + 2) * 2) + 1) * 2) + x)
A004463: 22 23 20 21 18 19 16 17 30 31 28 29 26 27 24 25
compr(\x.((x mod (((2 + 2) * 2) + 1)) - (x mod (((2 + 2) + 1) * 2))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A032864-A023791: 0 1 2 3 4 5 6 7 8 9 18 19 27 28 29 36
compr(\x.((((x - (((x div 2) mod 2) - 1)) * x) div ((2 + 2) + 1)) mod 2),x)
A233524: 0 1 2 4 5 8
A010440: 0 1 2 4 5 8 9 10 11 13 16 18 19 20 21 22
((1 - (((x div 2) - ((x * x) div (((x div 2) + 2) + 1))) div 2)) + x)
A332076: 1 2 3 5 6 8 9 11 12 14 15 17 18 20 21 24
((((x - (x mod (((2 + 2) * (2 + 1)) + 1))) * (2 + 1)) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004852: 0 1 2 3 4 5 6 7 8 9 10 11 12 32 33 34
((((2 - ((2 - x) div (((2 + 1) * 2) + 1))) * (2 + 1)) div 2) + x)
A296095: 3 4 5 7 8 9 10 11 12 13 16 17 18 19 20 21
compr(\x.(1 - (x mod (((x div (1 - ((2 + 2) * 2))) mod (2 + 1)) + 2))),x)
A336591-A268335-A162644-A072510-A036537: 1 2 3 5 6 7 8 10 11 13 14 15 17 19 21 22
(((((x * x) + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) - x)
A127944: 0 0 0 2 3 7 11 17 21 29 37 47 56 68 80 94
((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) + x)
A138083: 0 1 2 4 5 6
A007238: 0 1 2 4 5 6 7 10 11 12 13 15 16 17 18 22
(((2 - ((1 - x) div ((x div 2) + 2))) * ((x mod (2 + 1)) div 2)) + x)
A319053: 0 1 5 3 4 8 6 7 12 9 10 15 12 13 18 15
compr(\x.((((((x div 2) div (((2 + 1) * 2) + 1)) + x) div 2) + 1) mod 2),x)
A190670: 2 3 6 7 10 11 14 17 18 21 22 25 26 28 29 32
((((x - 1) * x) div ((((((2 + 2) * 2) * 2) - x) + 1) * 2)) + x)
A067570: 0 1 2 3 4 5 7
A063487: 0 1 2 3 4 5 7 9 11 13 16 20 25
compr(\x.((((x mod (((2 + 2) * (0 - 2)) - 1)) + 1) div (x + 1)) mod 2),x)
A131959: 1 2 3 8
A309017: 1 2 3 8 9 17 18 26 27
compr(\x.((((2 - (x mod (((0 - 2) - 2) - 1))) * 2) div (x + 1)) mod 2),x)
A325413: 0 1 3 5 8 9 10 12 13 14 15 16 17 18 19 20
(((x - ((((x - 2) mod ((2 + 2) + 1)) + 2) mod (x + 1))) div 2) + x)
A023776: 0 1 2 3 4 5 6 9 10 11 12 13 17 18 19 20
((((1 - ((x div 2) - ((x div (2 + 2)) mod 2))) mod (x + 1)) div 2) + x)
A158573: 0 1 2 3 4 5 9 10 11 12 13 15 16 18 19 20
((((((2 + 2) div (x + 1)) + x) + ((2 + 2) * (x + 1))) * 2) + x)
A006616: 16 23 32 43 52
((((((x div 2) - 1) * (x div 2)) + ((x + 2) * (x + 1))) div 2) + x)
A058759: 1 4 8 13
A265382: 1 4 8 13 20 27 37 46 59 70 86 99 118 133 155 172
((((x - (((x div 2) mod (((0 - 2) - 2) - 1)) - 1)) div 2) div 2) + x)
A039175: 0 1 3 5 6 7 8 9 10 11 12 14 16 17 18 19
(((x - ((2 - ((2 - x) mod (((2 + 1) * 2) + 1))) div 2)) div 2) + x)
A192225: 0 1 2 5
A210449: 0 1 2 5 7 8 9 10 12 13 16 17 18 20 21 22
(((((((x * 2) - ((x div (2 + 2)) mod 2)) * 2) + 1) * 2) * 2) + x)
A161444: 4 21 38 55 64 81 98 115 140 157 174 191 200 217 234 251
compr(\x.(2 - (x mod (((((x div 2) * (x - 1)) mod (2 + 1)) + 2) * 2))),x)
A028765: 2 3 5 6 7 8 10 11 14 15 18 19 20 21 22 23
compr(\x.(1 - (x mod (((((x mod 2) * x) div 2) mod ((2 + 1) * 2)) + 2))),x)
A005763: 1 5 7 9 11 13 17
A339910-A303578: 1 5 7 9 11 13 17 19 21 23 25 29 31 33 37 41
((((((x - 2) * x) div (x + 2)) + ((x mod (2 + 1)) mod 2)) div 2) + x)
A065896: 0 1 2 3 5 6 7 9 10 11 13 14 16 18 19 20
((((((((x div 2) div ((2 + 2) + 1)) + x) div 2) + 1) * 2) * 2) + x)
A327311: 4 5 10 11 16 17 22 23 28 29 34 39 40 45 46 51
(((((((((x + 1) div 2) * (x + 2)) div 2) + 1) div 2) div 2) div 2) + x)
A211264: 0 1 2 3 4 6 7 9 10 12 13 16 17 19 21 23
compr(\x.(2 - (x mod (((((2 - x) * x) mod ((2 + 1) * 2)) + 2) + 2))),x)
A285514: 2 3 4 5 6 7 9 10 11 13 14 17 18 19 22 23
(((((x div ((2 + 2) * 2)) + 2) * (((x + 1) div 2) div 2)) div 2) + x)
A138083: 0 1 2 4 5 6
A099593: 0 1 2 4 5 6 7 9 11 12 13 15 16 17 18 21
(((((((x * 2) mod ((x div (2 + 2)) + 1)) mod 2) * 2) * 2) * 2) + x)
A264974: 0 1 2 3 4 5 6 7 16 9 10 19 12 13 14 15
compr(\x.(((2 - (x * x)) div (((((x + 1) div 2) div 2) div 2) + 2)) mod 2),x)
A152212: 1 3 5 7 11 12 13 15 16 17 19 20 21 23 27 29
(((((x + 2) div (2 + 1)) - (x div (1 - ((2 + 2) * 2)))) div 2) + x)
A131511: 0 2 3 4 5 6 7 9 10 11 13 14 15 16 17 19
compr(\x.(((x div ((2 + 2) * 2)) - ((x + 1) mod ((2 + 2) * 2))) + 2),x)
A215726: 1 2 3 4 5 6 10 11 12 13 14 19 20 21 22 28
(x - (((2 - (x * x)) * (2 + 2)) div ((((2 + 2) * 2) * 2) + x)))
A016040: 0 1 3 5 7 10 13 16 19 22 26 29 33 37 40 44
((x - (((x div 2) - (1 - ((2 - x) div ((2 + 2) * 2)))) div 2)) + x)
A187835: 1 3 4 7 8 10 12 14 15 17 19 21 23 25 26 28
compr(\x.(((((x + 1) * 2) * (2 + 1)) mod ((x div (2 + 2)) + 2)) div 2),x)
A084689: 0 1 2 3 4 5 6 7 9
A131617: 0 1 2 3 4 5 6 7 9 11 14 15 16 17 18 19
(((x - ((x mod ((2 + 2) * 2)) - ((x div (2 + 2)) mod 2))) * 2) + x)
A059590: 0 1 2 3 6 7 8 9 24 25 26 27 30 31 32 33
(((((((1 - (x div 2)) div (2 + 1)) * (x + 2)) div 2) div 2) div 2) + x)
A189579: 0 1 2 3 3 4 5 5 6 7 7 7 8 9 10 10
((((x - (((x mod ((2 + 1) * 2)) - (x div 2)) div 2)) div 2) div 2) + x)
A039107: 0 1 2 3 4 6 8 9 10 11 12 13 15 17 18 19
((((((x + 2) * (x + 1)) div 2) + ((x + 2) mod (2 + 2))) div 2) + x)
A011980: 1 4 5 8 12 17 20
compr(\x.(((((2 + 2) * 2) * 2) mod ((0 - x) - 1)) mod ((2 + 2) * 2)),x)
A222010: 0 1 3 7
A309274: 0 1 3 7 11 15 23 31 39 47 55 63 71 79 87 95
((((x - (x mod ((2 + 2) * 2))) * 2) - 1) mod (((2 + 2) * 2) + x))
A168097: 7 8 9 10 11 12 13 14 15 15 15 15 15 15 15 15
(((x + 2) * 2) - (((x + 2) * (x + 1)) div (((2 + 2) * 2) + x)))
A001690: 4 6 7 9 10 11 12 14 15 16 17 18 19 20 22 23
((((x mod ((x div ((2 + 2) * 2)) + 1)) + x) * ((2 + 2) * 2)) + x)
A178896: 0 9 18 27 36 45 54 63 72 89 90 107 108 125 126 143
((((((x + 1) * x) div ((2 + 2) + 1)) + (x div (2 + 2))) div 2) + x)
A025224: 0 1 2 4 6 8 10 13 16 19 22 25 29 32 36 40
(((((((((x - 1) div 2) div (2 + 1)) + 1) * x) div 2) div 2) div 2) + x)
A102705: 0 1 2 3 4 5 6 8 10 11 12 13 15 17 19 20
((x * x) div (((((((x - 2) div (2 + 1)) * x) div 2) mod 2) + 2) + x))
A218443: 0 0 1 1 2 3 4 4 6 6 8 9 10 10 12 13
((((((((x - 1) mod ((x div 2) + 1)) div 2) + x) + 2) * 2) * 2) + x)
A187227: 8 13 18 23 28 33 38 47 52 57 62 71 76 81 86 95
((((((x * x) * (x * x)) - (((x - 2) * x) div 2)) div 2) div 2) + x)
A332081: 0 1 6 23 67 159
(((((x + 1) div 2) - (x div ((((x div 2) * x) mod 2) + 2))) + 2) + x)
A211390: 2 4 4 6 6 8 8 11 10 12 12 16 14 16 16 20
compr(\x.(1 - (x mod (((((x * x) * x) - 2) mod ((x + 2) + 2)) + 2))),x)
A183213: 1 3 4 5 7 9 10 12 13 14 15 17 19 20 21 22
(((((((x * x) div (2 + 1)) * (2 + 1)) + (x div 2)) div 2) div 2) + x)
A159325: 0 1 3 5 8 11 15 19 24 30 36 42 49 56 64 73
(((((2 - x) mod (((x div (2 + 2)) + 2) + 1)) + x) div (2 + 2)) + x)
A138083: 0 1 2 4 5 6
A255165: 0 1 2 4 5 6 7 9 11 12 13 14 15 16 17 20
((((((x * x) - (x div 2)) mod ((2 + 2) + 1)) + x) div (2 + 2)) + x)
A039176: 0 1 3 4 6 7 8 9 10 11 12 14 15 17 18 19
((((((1 - x) mod (((x div (2 + 1)) * 2) + 1)) + x) + 2) div 2) + x)
A184333: 1 2 4 6 7 9 10 13 14 17 18 19 22 23 24 27
((((((((x - 1) div (2 + 1)) * x) div (2 + 1)) + x) div 2) div 2) + x)
A211265: 0 1 2 3 5 6 8 9 11 12 15 16 18 20 22 23
(((x - ((1 - (x * x)) div (((x div (2 + 1)) + x) + 2))) + 2) + x)
A186325: 2 4 7 10 13 15 18 21 24 26 29 32 34 37 40 43
(((x - (((((x * x) * (x + 2)) div 2) * (1 - x)) div 2)) div 2) + x)
A211380: 0 1 5 15 42 94 189 340 572 903 1365 1981 2790 3820 5117 6714
((((((((((2 + 1) * x) + 2) * 2) * 2) * 2) - x) * 2) * 2) - x)
A195233: 64 155 246 337 428 519 610 701 792 883 974 1065 1156 1247 1338 1429
compr(\x.(1 - (x mod (((2 - (x mod ((2 + 2) * 2))) mod (x + 2)) + 2))),x)
A020486: 1 3 4 5 7 11 12 13 15 17 19 20 21 23 25 27
((((((((2 + 1) * x) + 2) * (2 + 1)) div 2) * (x div 2)) div 2) + x)
A195160: 0 1 8 11 25 30 51 58 86 95 130 141 183 196 245 260
((((x - 1) * x) div (((((2 + 2) * 2) * (2 + 1)) - x) * 2)) + x)
A177738: 0 1 2 3 4 5 6 8 9 11 13 15 17 20 23 26
((((((x + 1) div (2 + 1)) mod (2 + 2)) + ((x + 1) * x)) div 2) + x)
A152888: 0 2 5 9 14 21 28 36 45 55 66 77 90 104 119 135
(((((x * x) * (2 + 2)) * 2) div ((((2 + 2) * 2) + x) + 2)) + x)
A130236: 0 1 4 8 13 18 24 30 36 43 50 57 64 71 79 87
((((((((2 - x) + 2) * (x div 2)) + x) div (x + 2)) + x) + 2) + x)
A248637: 2 4 7 8 10 12 14 15 17 19 20 22 23 25 26 28
(1 - ((x mod 2) - ((x * x) div ((((x mod 2) + 2) * (x + 2)) + x))))
A025803: 1 0 1 0 2 0 2 1 3 1 3 2 4 2 5 3
((((((x * x) + 2) * x) div (2 + 1)) + ((1 - x) * (x div 2))) - x)
A225972: 0 0 1 6 14 32 55 94 140 208 285 390 506 656 819 1022
compr(\x.((((1 - x) div (((x div 2) mod (2 + 2)) + 1)) mod 2) - (x mod 2)),x)
A103826: 1 3 5 6 7 9 11 12 13 14 15 17 19 21 22 23
((((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) - (x mod 2)) + x)
A266154-A266089-A160017: 0 1 3 2 5 4 6 7 9 8 10 11 12 13 15 14
compr(\x.(((((x * 2) - 1) div ((x div (2 + 2)) + 2)) mod 2) - (x mod 2)),x)
A079945: 1 3 4 5 7 9 10 11 12 13 15 17 19 21 22 23
compr(\x.((2 - ((1 - (x div ((2 + 2) + 1))) mod (2 + 2))) - (x mod 2)),x)
A188545: 1 3 10
A104702: 1 3 10 11 12 13 14 15 16 17 18 19 21 23 30 31
compr(\x.(x - ((x * x) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + x))),x)
A191886: 0 1 2 3 4 5 6 8 9 11 13 14 15 16 17 19
compr(\x.((((x + 1) * x) * (2 + 1)) mod ((((2 + 2) * 2) * 2) + x)),x)
A169926: 0 2 4 8 14 20 24 29 32 44 56 64 74 104 128 164
(((((x * x) + (2 + 2)) * 2) div ((((2 + 2) * 2) * 2) + x)) + x)
A076521: 0 1 2 4 6 7 9 11 13 15 18 20 22 24 27 29
(((((((x - 1) div 2) div ((2 + 2) + 1)) mod 2) + (x mod 2)) + x) + x)
A026444: 1 3 4 7 8 11 12 15 16 19 20 24 25 28 29 32
((2 - ((x div (0 - 2)) div (((x mod (2 + 2)) * 2) - 1))) + (x * x))
A335892: 2 4 7 12 16 30
(((((x * x) div (2 + 2)) * (2 + 1)) * ((2 + 2) + 1)) + (x * x))
A195048: 0 1 19 39 76 115 171 229 304 381 475 571 684 799 931 1065
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((x * x) * x))
A185788: 0 2 12 37 84 160 272 427 632 894 1220 1617 2092 2652 3304 4055
((((((2 + 1) * x) + 2) * 2) * ((x mod 2) + 1)) + ((x * x) * x))
A133784: 4 21 24 71
loop(\(x,i).loop(\(x,i).loop(\(x,i).loop(\(x,i).loop(\(x,i).(i * x),i,x),i,x),i,x),i,x),x,1)
A057528: 1 1 2 96 31850496 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x) + (x + 1)),x,1)
A099627: 1 2 3 4 5 7 8 9 11 15 16 17 19 23 31 32
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else i)),x,x) + x),1,loop(\(x,i).(x * 2),x,1))
A057046: 1 1 1 2 1 4 9 8 3 16 34 32 1 64 94 128
loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)),1,loop(\(x,i).(x * 2),x,1))
A057047: 1 2 3 3 6 5 3 9 21 17 12 33 91 65 88 129
loop(\(x,i).(if x <= 0 then 0 else loop(\(x,i).loop(\(x,i).(i * x),i,x),(x - 2),1)),1,(x * 2))
A296607: 0 1 2 288 24883200 5056584744960000 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(if x <= 0 then 2 else loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)),2,x),x)
A020904: 2 4 7 9 11 13 16 18 22 24 27 29 31 34 37 39
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((2 + 1) * x),(i + 1),x),i,1) + x),(x + 1),0)
A178186: 9 252 19935 4802904 3491587305 7629089072292 50039174188071999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if x <= 0 then 1 else (loop(\(x,i).((x - i) * x),2,(i + 2)) * x)),(x + 1),0)
A010798: 1 120 43200 36288000 60963840000 184354652160000 929147446886400000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,2) - (if (x mod 2) <= 0 then loop(\(x,i).(x * 2),(x div 2),2) else 0))
A156232: 0 4 4 16 24 64 112 256 480 1024 1984 4096 8064 16384 32512 65536
loop(\(x,i).((x * 2) + 1),(x - 1),(if (x - 1) <= 0 then 1 else (if (x mod 2) <= 0 then 2 else 0)))
A290074: 1 1 5 3 23 15 95 63 383 255 1535 1023 6143 4095 24575 16383
loop(\(x,i).((loop(\(x,i).(i * x),(i - 1),1) + (i * x)) - (if x <= 0 then 0 else 1)),x,0)
A186760: 0 1 2 7 33 188 1247 9448 80623 765926 8022139 91872328 1142384735 15330003154 220847064955 3399884265524
loop(\(x,i).(0 - x),x,loop(\(x,i).((i * x) - loop(\(x,i).(i * x),(i - 1),1)),x,0))
A081048: 0 1 ~3 11 ~50 274 ~1764 13068 ~109584 1026576 ~10628640 120543840 ~1486442880 19802759040 ~283465647360 4339163001600
loop(\(x,i).loop(\(x,i).(x * 2),x,loop(\(x,i).(((i * 2) + 1) * x),(i - 2),1)),x,0)
A048830: 0 1 2 12 61440
(loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - 1)) - (if (x - 1) <= 0 then x else 0))
A270007: 1 8 49 225 961 3969 16129 65025 261121 1046529 4190209 16769025 67092481 268402689 1073676289 4294836225
(if (x - 1) <= 0 then 1 else loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((x + 1) * 2),x,0)))
A267812: 1 1 27 119 495 2015 8127 32639 130815 523775 2096127 8386559 33550335 134209535 536854527 2147450879
loop(\(x,i).(((if x <= 0 then 1 else (x * 2)) - (x div (if i <= 0 then 1 else i))) * (2 + 2)),x,0)
A069722: 0 4 24 160 1120 8064 59136 439296 3294720 24893440 189190144 1444724736 11076222976 85201715200 657270374400 5082890895360
(loop(\(x,i).((if x <= 0 then 1 else x) + (x * 2)),x,0) + loop(\(x,i).(1 - (x * 2)),x,0))
A140431: 0 2 2 12 22 92 222 772 2102 6732 19342 59732 175782 534172 1588862 4793892
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((if x <= 0 then 1 else x) + (x * 2)),x,0))
A318165: 1 3 13
A093834: 1 3 13 55 229 943 3853 15655 63349 255583 1028893 4135255 16600069 66577423 266841133 1068958855
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),i,0) + x),x,0)
A097422: 0 1 4 15 65 339 2103 15171 124755 1151331 11779971 132323811 1618766691 21421525731 304887173091 4644050174691
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),i,0) - x),x,0)
A330016: 0 1 2 9 41 233 1531 11537 98047 928529 9700111 110843729 1375599151 18427159889 265038487471 4074124514129
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + (i * x)),(i - 1),1) + x),x,0)
A295518: 0 1 4 14 52 220 1092 6388 43588 341444 3022660 29835844 324782916 3864151876 49875956548 694041238340
loop(\(x,i).(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x),i) + x),x,0)
A053767: 0 4 10 18 27 37 49 63 78 94 112 132 153 175 199 224
loop(\(x,i).(x * 2),x,((if (x mod 2) <= 0 then loop(\(x,i).(x * 2),(x div 2),2) else 0) + 1))
A098655: 3 2 20 8 144 32 1088 128 8448 512 66560 2048 528384 8192 4210688 32768
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then (x div 2) else 0),1))
A285543: 1 3 6 15 28 63 120 255 496 1023 2016 4095 8128 16383 32640 65535
(loop(\(x,i).((if ((if x <= 0 then 1 else x) mod 2) <= 0 then (x - 1) else 1) * (x + 1)),x,0) + 1)
A283526: 1 2 3 4 5 16 17 256 257 65536 65537 4294967296 4294967297 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else (loop(\(x,i).(x * 2),(loop(\(x,i).(x * 2),x,2) mod (x + 1)),1) + 1))
A321577: 0 2 5 2 5 17 5 2 257 17 5 17 5 17 257 2
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + loop(\(x,i).(i * x),x,1)),(x - 1),1)
A005604: 1 1 2 3 8 40326
(loop(\(x,i).(x * x),x,2) - loop(\(x,i).loop(\(x,i).(x * 2),i,(x * x)),(x - 1),1))
A001320: 1 3 14 240 63488 4227858432 4611686018427387903 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1) else 1)
A305429-A136548: 1 1 2 3 3 5 5 7 7 7 7 11 11 13 13 13
(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(i + 1),1) - x),x,1) + 1)
A134316: 2 4 8 28 128 748 5168 41068 368048 3669868 40284848 482671468 6267305648 87660962668 1313941673648 21010450850668
loop(\(x,i).(x * 2),((0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)) - 1),1)
A155038: 1 1 1 2 1 1 4 2 1 1 8 4 2 1 1 16
((loop(\(x,i).loop(\(x,i).(i * x),(i * x),1),x,1) - loop(\(x,i).(i * x),x,1)) - 1)
A256509: ~1 ~1 ~1 713 4611686018427387903
(if (x mod 2) <= 0 then (if x <= 0 then 1 else ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) else 1)
A280986: 1 1 2 1 2 1 2 1 2 1 4 1 2 1 2 1
((loop(\(x,i).(if x <= 0 then 1 else ((x - (if (i - x) <= 0 then 1 else 0)) * 2)),x,0) * 2) + 1)
A248604: 1 3 5 9 13 21 37 69 133 261 517 1029 2053 4101 8197 16389
(if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * 2) else 1)
A010125: 4 1 1 2 1 1 8 1 1 2 1 1 8 1 1 2
((compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x),(x + 1)) * 2) + 1)
A261033: 3 5 7 9 13
A224195: 3 5 7 9 13 15 17 25 29 31 33 49 57 61 63 65
loop(\(x,i).(i * x),(loop(\(x,i).(loop(\(x,i).(i * x),(x - 2),1) + x),x,1) div 2),1)
A167446: 1 1 1 2 6 1307674368000
(if x <= 0 then 1 else ((loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x * 2),x,2)) - 2) - 1))
A269911: 1 5 45 221 957 3965 16125 65021 261117 1046525 4190205 16769021 67092477 268402685 1073676285 4294836221
(loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 0 else (i - x))),x,x) * x),(x * 2),2) - 1)
A096618: 1 12367 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(2 + 1)))
A144706: 1 6 18 60 210 756 2772 10296 38610 145860 554268 2116296 8112468 31201800 120349800 465352560
(if x <= 0 then 2 else loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 0)),x,((x * 2) + 1)))
A224911-A060308-A020482: 2 3 5 7 7 11 13 13 17 19 19 23 23 23 29 31
(if x <= 0 then 1 else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),((x * 2) - 1)))
A128059: 1 1 3 5 7 1 11 13 1 17 19 1 23 1 1 29
loop(\(x,i).((x * 2) * 2),(if x <= 0 then 1 else (loop(\(x,i).(x * 2),x,2) - (x mod 2))),1)
A138835: 4 64 65536 1073741824 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (loop(\(x,i).loop(\(x,i).((x + 2) mod (i + 1)),x,0),x,x) div 2)) + 1)
A243036: 2 1 2 1 2 2 4 1 2 2 4 2 4 4 8 1
(loop(\(x,i).(x * 2),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),2) - 1)
A130330: 1 3 1 7 3 1 15 7 3 1 31 15 7 3 1 63
loop(\(x,i).(x * x),1,((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * 2) - 1))
A237587: 1 9 1 25 9 1 49 25 9 1 81 49 25 9 1 121
(((if x <= 0 then 1 else (2 - loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x))) div 2) + 1)
A100144: 1 2 2 4 4 4 4 6 6 6 6 6 6 10 10 10
(loop(\(x,i).((x * 2) * 2),(if x <= 0 then 1 else 2),loop(\(x,i).((x * x) * x),x,2)) - 1)
A253851: 7 127 8191 2147483647 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) div 2) + 1)
A209438: 1 1 1 1 2 1 1 4 2 1 1 7 4 2 1 1
(loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),x,((2 + 1) * x)) + 1)
A134660: 1 4 4 4 4 16 4 8 4 16 16 4 4 16 8 16
(loop(\(x,i).((if (x mod 2) <= 0 then (if x <= 0 then 1 else (0 - 2)) else 2) + x),(2 + 1),x) + 1)
A065166: 6 8 4 10 2 12 1 14 3 16 5 18 7 20 9 22
loop(\(x,i).(loop(\(x,i).((x div (if i <= 0 then 1 else (i * 2))) + x),x,(i * 2)) + 1),x,1)
A112557: 1 4 10 18 30 42 58 78 102 118 150 174 210 240 274 322
loop(\(x,i).(x * x),1,loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1)))
A144843: 1 64 2704 102400 3748096 135675904 4893282304 176265625600 6346852335616 228502162898944 8226263614357504 296147719133593600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((2 + 1) * x),i,x),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A203148: 1 12 351 29160 7144929 5223002148 11433166050879 75035879252272080 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),(x div 2),x) + 1),x,1)
A010063: 1 2 4 6 8 12 14 18 20 24 28 30 32 36 38 42
(loop(\(x,i).(x * x),(x - 2),(if x <= 0 then 1 else ((if (x mod 2) <= 0 then x else 1) + x))) - 1)
A076046: 0 1 3 15 4095
loop(\(x,i).(i * x),x,loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).((i * x) + 1),x,1)))
A052140: 1 8 160 6144 399360 40058880 5771427840 1131282432000 289610945003520 93834041307955200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(if x <= 0 then 0 else ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)),2,x) + 1)
A107756: 1 4 5 6 7 10 13 14 15 16 17 18 19 20 21 22
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(x * x),(i - 1),(x * 2)) * 2),x,1))
A067512-A067505: 1 8 512 68719476736 4611686018427387903
loop(\(x,i).(loop(\(x,i).((if (x - 2) <= 0 then 1 else x) + x),i,1) + ((x * 2) * 2)),x,1)
A171475: 1 6 27 114 468 1896 7632 30624 122688 491136 1965312 7862784 31454208 125822976 503304192 2013241344
loop(\(x,i).(x * x),1,loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),x,1))
A002894: 1 4 36 400 4900 63504 853776 11778624 165636900 2363904400 34134779536 497634306624 7312459672336 108172480360000 1609341595560000 24061445010950400
loop(\(x,i).(x * x),2,loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),x,1))
A186420: 1 16 1296 160000 24010000 4032758016 728933458176 138735983333376 27435582641610000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(1 - (x * 2)),x,loop(\(x,i).((1 - x) * 2),x,1)))
A110241: 1 2 28 152 1456 10592 88768 693632 5614336 44652032 358263808 2861914112 22912086016 183229571072 1466104987648 11727766126592
loop(\(x,i).((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,1)) * x) div 2),x,1)
A002884: 1 1 6 168 20160 9999360 20158709760 163849992929280 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1,((x + 2) * x)) + 1)
A057049: 1 1 3 1 4 8 4 9 3 9 1 8 16 6 15 3
((loop(\(x,i).(x * 2),(if (2 - x) <= 0 then x else 0),2) - 1) - (if (x - 2) <= 0 then x else 1))
A283591: 1 0 5 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534
loop(\(x,i).((if loop(\(x,i).(x div ((x mod 2) + 1)),x,i) <= 0 then 1 else 0) + (x * 2)),x,1)
A267367: 1 3 6 13 26 52 104 209 418 836 1672 3344 6688 13376 26752 53505
loop(\(x,i).loop(\(x,i).((x * 2) + 1),(if (i mod (2 + 2)) <= 0 then 2 else 0),(x * 2)),x,1)
A222011: 1 2 4 8
A018507: 1 2 4 8 67 134 268 536
loop(\(x,i).((x div 2) * i),loop(\(x,i).((x * 2) + 1),x,0),loop(\(x,i).(x * 2),x,1))
A067667: 1 1 3 315 638512875 4611686018427387903 4611686018427387903
(loop(\(x,i).(((if x <= 0 then 1 else x) + (x * 2)) + 1),x,0) + loop(\(x,i).(x * 2),x,1))
A090327: 1 4 11 30 83 234 671 1950 5723 16914 50231 149670 446963 1336794 4002191 11990190
(loop(\(x,i).((if (2 - i) <= 0 then x else 1) + (x * 2)),x,2) - loop(\(x,i).(x * 2),x,1))
A084171: 1 3 11 37 119 373 1151 3517 10679 32293 97391 293197 881639 2649013 7955231 23882077
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,2) - 1),(x - 2),loop(\(x,i).(x * 2),x,1))
A233868: 1 2 4 7 31 127 511 2047 8191 32767 131071 524287 2097151 8388607 33554431 134217727
loop(\(x,i).((x * 2) - 1),((if (x - 1) <= 0 then x else 2) + x),loop(\(x,i).(x * 2),x,1))
A273385: 1 5 49 225 961 3969 16129 65025 261121 1046529 4190209 16769025 67092481 268402689 1073676289 4294836225
loop(\(x,i).loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1,((x + 2) * (x + 1)))
A309714: 1 0 2 5 2 6 1 6 12 5 12 3 11 0 9 19
(if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1)))
A151800: 2 2 3 5 5 7 7 11 11 11 11 13 13 17 17 17
((if x <= 0 then 1 else ((loop(\(x,i).loop(\(x,i).(i * x),x,2),x,1) - 1) * x)) * (x + 1))
A071352: 1 2 18 564 4611686018427387903
compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,((2 + 1) * x)),(x + 1))
A191535-A100598: 1 2 4 5 8 10
A181666: 1 2 4 5 8 10 16 20 21 32 40 42 64 80 84 85
(if (x - 2) <= 0 then 1 else loop(\(x,i).(x * x),(x - 2),loop(\(x,i).(i * x),x,(x + 1))))
A064031: 1 1 1 576 207360000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x + 2)),2,(x - 1))
A242189: 3 5 5 7 7 11 11 13 13 13 13 17 17 19 19 19
((x * 2) - loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),x,(x - 1)))
A267582: 1 2 3 5 5 9 9 11 9 17 17 19 17 23 21 23
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1))
A133820: 1 1 8 1 8 27 1 8 27 64 1 8 27 64 125 1
loop(\(x,i).(((x + 1) div 2) + i),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A092080: 1 1 2 1 2 3 1 2 3 5 1 2 3 5 7 1
loop(\(x,i).((if x <= 0 then 1 else ((if x <= 0 then 1 else (0 - 2)) * ((i * 2) + 1))) - x),x,1)
A132899: 1 ~7 8 ~22 23 ~45 46 ~76 77 ~115 116 ~162 163 ~217 218 ~280
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) * x),x,1)
A263394: 1 5 95 6175 1302925 866445125 1784010512375 11248186280524375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) div (if i <= 0 then 1 else i)) * (i + 2)),i,1) - x),x,1)
A102841: 1 5 19 61 179 493 1299 3309 8211 19949 47635 112109 260627 599533 1366547 3089901
loop(\(x,i).((x * 2) * 2),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),1)
A262616: 1 4 1 16 4 1 64 16 4 1 256 64 16 4 1 1024
loop(\(x,i).((2 + 1) * x),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),1)
A140303: 1 3 1 9 3 1 27 9 3 1 81 27 9 3 1 243
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((2 + 1) * x),i,1)) * x),x,1)
A028665: 1 6 432 303264 1965150720 115562653240320 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),i,1) * x),x,1)
A126675: 1 3 33 1650 452100 797504400 10421787499200 1142061161312332800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(((i * i) * i) + x),(i + 1),x),i,1) + x),x,1)
A101094: 1 11 57 203 574 1386 2982 5874 10791 18733 31031 49413 76076 113764 165852 236436
(if x <= 0 then 0 else (0 - (loop(\(x,i).(x - (if x <= 0 then 1 else ((i * i) + 1))),x,x) + 1)))
A228423: 0 0 0 4 4 4 4 4 13 13 13 13 13 13 13 13
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,2) + x),x,1)
A054113: 1 5 17 57 197 701 2549 9413 35153 132393 501905 1912769 7321081 28122281 108355481 418590521
loop(\(x,i).((if (x - 2) <= 0 then 1 else ((if (x mod (i + 1)) <= 0 then 2 else 0) + x)) + x),x,1)
A259098: 1 2 3 6 12 26 52 104 208 416 832 1664
loop(\(x,i).(loop(\(x,i).((x * 2) + 1),(if (x mod (i + 1)) <= 0 then x else 0),x) + x),x,1)
A018397: 1 2 4 83 166 332
loop(\(x,i).((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * x),i,2)) * x) + x),x,1)
A260982: 1 13 3133 204525373 878416384666881853 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((x * 2) - 1),(x - 2),x) * x),1,i) + x),x,1)
A116757: 1 2 6 21 73 238 724 2075 5667 14892 37942 94273 229453 548954 1294440 3014775
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A288876: 1 25 225 1225 4900 15876 44100 108900 245025 511225 1002001 1863225 3312400 5664400 9363600 15023376
loop(\(x,i).(x - i),x,loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A086274: 1 4 12 29 60 111 189 302 459 670 946 1299 1742 2289 2955 3756
loop(\(x,i).(((loop(\(x,i).(x * x),2,(2 + 1)) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A017745: 1 82 3403 95284 2024785 34826302 504981379 6348337336 70625252863 706252528630 6426898010533 53752237906276 416579843773639 3012192716517082 20439879147794485 130815226545884704
loop(\(x,i).(((loop(\(x,i).((x + 2) * x),2,2) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A017744: 1 81 3321 91881 1929501 32801517 470155077 5843355957 64276915527 635627275767 5720645481903 47325339895743 362827605867363 2595612872743443 17427686431277403 110375347398090219
loop(\(x,i).loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)),i,x),x,1)
A203517: 1 4 96 15360 17203200 138726604800 8203736501452800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(0 - x),x,loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),x,1))
A081046: 1 ~2 5 ~17 74 ~394 2484 ~18108 149904 ~1389456 14257440 ~160460640 1965444480 ~26029779840 370643938560 ~5646837369600
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + (i * x)),i,1) + (i * x)),x,1)
A081923: 1 4 18 92 536 3552 26608 223456 2085504 21450752 241320704 2949474816 38933066752 552141672448 8374148696064 135274709700608
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,loop(\(x,i).(i * x),x,1))
A212307: 1 1 2 2 8 40 80 560 4480 4480 44800 492800 1971200 25625600 358758400 1793792000
loop(\(x,i).((if x <= 0 then 2 else (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - i)) - x),x,1)
A215898: 1 ~2 4 ~3 5 ~8 10 ~7 9 ~14 16 ~11 13 ~20 22 ~15
loop(\(x,i).(x * x),1,loop(\(x,i).loop(\(x,i).((((i * 2) - 1) * i) * x),i,x),x,1))
A271386: 1 1 36 291600 1851776640000 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else (1 - loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + x) - 2),x,0))) div 2)
A062430: 1 1 3 5 7 10 13 16 19 22 26 29 33 36 40 44
loop(\(x,i).(x - loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x)),1,((x + 1) * 2))
A185870: 3 8 10 17 19 21 30 32 34 36 47 49 51 53 55 68
loop(\(x,i).(x * x),1,loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,x) + x),(x - 1),2))
A119600: 4 4 64 6400 5017600 33738342400 2008645953126400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,1) + loop(\(x,i).(x * 2),(x * x),1)) div 2)
A200564: 1 2 12 288 33280 16793600 34360786944 281475110928384 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2) + 2)
A221999: 2 2 3 2 3 4 2 3 4 6 2 3 4 6 10 2
((loop(\(x,i).(x * x),1,loop(\(x,i).((if x <= 0 then 1 else 2) - (x * 2)),x,2)) div 2) div 2)
A068941: 1 1 6 16
A083885: 1 1 6 16 72 256 1056 4096 16512 65536 262656 1048576 4196352 16777216 67117056 268435456
(if x <= 0 then 1 else ((loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x * 2),x,2)) - 2) - 2))
A269907: 1 4 44 220 956 3964 16124 65020 261116 1046524 4190204 16769020 67092476 268402684 1073676284 4294836220
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(if x <= 0 then 1 else (2 + 2)))
A146534: 1 8 24 80 280 1008 3696 13728 51480 194480 739024 2821728 10816624 41602400 160466400 620470080
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,loop(\(x,i).(i * x),(x + 2),2))
A114967: 16777216 8916100448256 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),x,1),(x - 2),(if x <= 0 then 1 else ((2 - (x mod 2)) + 2)))
A001695: 1 3 4 8 65536
((loop(\(x,i).(loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),i,1) + x),x,0) - x) * 2)
A266538: 0 2 4 10 12 18 28 42 44 50 60 74 92 114 140 170
((loop(\(x,i).(loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),i,1) + x),x,0) - x) div 2)
A266540-A266530-A266510: 0 0 1 2 3 4 7 10 11 12 15 18 23 28 35 42
((loop(\(x,i).loop(\(x,i).(i * x),x,(if (x - 2) <= 0 then x else 1)),1,(x - 1)) * x) * 2)
A052645: 0 0 4 24 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 2615348736000
((loop(\(x,i).(x - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,i)),x,1) + x) * 2)
A212014: 2 6 8 14 18 20 28 34 38 40 50 58 64 68 70 82
(loop(\(x,i).(if x <= 0 then 0 else ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)),2,x) + 2)
A028726: 2 5 6 7 8 11
A170944-A074940: 2 5 6 7 8 11 14 15 16 17 18 19 20 21 22 23
(if x <= 0 then (2 + 1) else loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),x,2))
A217477: 3 ~4 12 ~40 140 ~504 1848 ~6864 25740 ~97240 369512 ~1410864 5408312 ~20801200 80233200 ~310235040
(loop(\(x,i).(0 - ((if x <= 0 then 1 else 2) * (x + 1))),x,1) mod loop(\(x,i).(x * 2),x,2))
A278755: 1 0 3 8 7 48 15 224 31 960 63 3968 127 16128 255 65024
loop(\(x,i).(x * x),1,loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x + 2)))
A093867: 4 9 25 25 49 49 121 121 121 121 169 169 289 289 289 289
(if x <= 0 then 1 else compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x),(x * 2)))
A175228: 1 4 8 10 14 16 20 22 25 27 30 33 35 38 40 44
loop(\(x,i).((if x <= 0 then 1 else (if (i mod 2) <= 0 then 1 else (x * 2))) + x),(x - 1),(x mod 2))
A120463: 0 1 1 4 6 13 21 40 66 121 201 364 606 1093 1821 3280
loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).((if x <= 0 then 2 else 0) - (x * 2)),x,(x mod 2))))
A266846: 1 6 20 104 336 1696 5440 27264 87296 436736 1397760 6989824 22368256 111845376 357908480 1789558784
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((if (i * x) <= 0 then x else 0) - 1) * x),x,2))
A298759: 2 6 30 42 1722 1806
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + loop(\(x,i).(x * 2),i,1)) * x),x,2)
A323715: 2 10 130 4550 441350 121371250 96247401250 222812733893750 1518914406953693750 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x * x),i,x) * x),2,(x * x)),1,((x * x) + 2))
A139571: 1073741824 205891132094649 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (x - ((loop(\(x,i).(x - ((if x <= 0 then 0 else i) * 2)),x,x) - x) div 2)))
A255527: 1 2 3 6 7 8 9 13 14 15 16 17 18 23 24 25
(if x <= 0 then 1 else loop(\(x,i).(((if (i - 2) <= 0 then 1 else ((2 + 1) * x)) + x) + x),x,2))
A141496: 1 5 11 55 275 1375 6875 34375 171875 859375 4296875 21484375 107421875 537109375 2685546875 13427734375
(loop(\(x,i).(loop(\(x,i).loop(\(x,i).(((i + 2) * i) + x),i,x),i,1) + x),x,0) - x)
A130857: 0 3 17 57 147 322 630 1134 1914 3069 4719 7007 10101 14196 19516 26316
((x * 2) - loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),(2 + 1),x))
A071042: 0 1 3 3 7 7 9 7 15 15 17 15 21 19 21 15
(0 - loop(\(x,i).loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x),1,((2 + 1) * x)))
A168039: 0 4 4 9 9 16 16 25 25 25 25 36 36 36 36 49
((if (x - 2) <= 0 then 0 else loop(\(x,i).loop(\(x,i).(i * x),(x - 2),x),1,(x - 1))) * x)
A052747: 0 0 0 6 12 40 180 1008 6720 51840 453600 4435200 47900160 566092800 7264857600 100590336000
((if x <= 0 then 2 else ((if (x mod 2) <= 0 then ((2 + 1) * 2) else x) + 1)) div (if x <= 0 then 1 else x))
A084189: 2 2 3 1 1 1 1 1 0 1 0 1 0 1 0 1
(loop(\(x,i).((x * x) * x),x,x) - loop(\(x,i).((x * x) * x),2,(if x <= 0 then 1 else x)))
A058124: ~1 0 0 7625597465304
((loop(\(x,i).loop(\(x,i).(i * x),(i * x),1),x,1) - loop(\(x,i).(i * x),x,1)) - x)
A256669: 0 ~1 ~2 711 4611686018427387903
loop(\(x,i).((if (x - 2) <= 0 then 0 else loop(\(x,i).((x div 2) + x),(x - 1),2)) + 1),2,x)
A337434: 1 1 1 10 20 64
(((loop(\(x,i).(loop(\(x,i).((if x <= 0 then i else x) - 1),i,0) + x),x,0) + x) * 2) - x)
A261692: 0 1 4 5 12 17 20 21 36 49 60 69 76 81 84 85
(loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),x,((if x <= 0 then 1 else x) * 2)) - x)
A088633: 2 2 3 4 7 6 7 10 9 10 13 12 17 16 15 16
(if x <= 0 then 1 else loop(\(x,i).((((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2) + x),2,x))
A228357: 1 5 6 11 12 17 18 19 20 21 22 23 24 25 26 27
loop(\(x,i).loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)),1,((x + 2) * x))
A057050: 1 3 2 6 4 1 7 3 11 6 16 10 3 15 7 21
loop(\(x,i).(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),1,((x + 2) * x))
A230038: 0 2 1 5 3 0 6 2 10 5 15 9 2 14 6 20
loop(\(x,i).(if x <= 0 then 1 else loop(\(x,i).(x * x),1,((i * x) div (2 + 1)))),(x * 2),x)
A275587: 0 1 1 4 46656
compr(\x.(1 - (loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)),x,x) div 2)),x)
A020907: 2 5 9 11 14 17 20 24 27 32 35 37 41 44 47 51
loop(\(x,i).(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),x) + i),2,x)
A050435: 9 12 15 16 18 21 24 25 26 28 32 33 34 36 38 39
(if x <= 0 then 2 else compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),(0 - x)),x))
A076074-A075643: 2 1 3 5 7 11 13 17 19 23 29 31 37 41 43 47
compr(\x.loop(\(x,i).(if x <= 0 then 2 else (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1)),2,x),x)
A099628: 2 4 5 8 9 11 16 17 19 23 32 33 35 39 47 64
(loop(\(x,i).(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1)),2,x) + x)
A063657: 3 7 8 13 14 15 21 22 23 24 31 32 33 34 35 43
compr(\x.loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2),2,x),x)
A030130: 0 2 5 6 11 13 14 23 27 29 30 47 55 59 61 62
(loop(\(x,i).(x - (if (if (x mod (i + 1)) <= 0 then x else 0) <= 0 then 1 else (i - 1))),x,x) + x)
A340836: 0 1 3 3 5 5 7 7 9 9 11 11 11 11 15 15
(if (x mod ((2 + 2) + 1)) <= 0 then (((x + 1) mod (2 + 1)) - (if x <= 0 then 0 else 1)) else 0)
A014159: 1 0 0 0 0 ~1 0 0 0 0 1 0 0 0 0 0
(2 - (if x <= 0 then 1 else ((x mod 2) - (if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0))))
A342824: 1 1 2 1 2 1 2 2 2 1 2 1 2 1 3 1
(if x <= 0 then 1 else (if (x mod (2 + 2)) <= 0 then (x div (((x div 2) mod (2 + 1)) + 1)) else 0))
A239261: 1 0 0 0 1 0 0 0 4 0 0 0 12 0 0 0
((if (((x + 2) div (2 + 1)) mod (2 + 2)) <= 0 then 2 else 1) - (if (x - 1) <= 0 then 1 else 0))
A128522-A124278: 1 0 1 1 1 1 1 1 1 1 2 2 2 1 1 1
(if (x mod 2) <= 0 then loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x div 2),1) else 0)
A287468: 1 0 11 0 111 0 1111 0 11111 0 111111 0 1111111 0 11111111 0
((((x div ((2 + 2) * 2)) + (if x <= 0 then 1 else 2)) * 2) + (if (2 - x) <= 0 then 1 else 0))
A253415: 2 4 5 5 5 5 5 5 7 7 7 7 7 7 7 7
(if ((x mod (2 + 1)) - 1) <= 0 then loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) else 0)
A092804: 1 10 0 1000 10000 0 1000000 10000000 0 1000000000 10000000000 0 1000000000000 10000000000000 0 1000000000000000
(if x <= 0 then 0 else (if (x mod ((x mod ((x div (2 + 1)) + 1)) + 1)) <= 0 then (x + 1) else 0))
A145091: 0 2 3 0 5 0 7 0 0 0 0 0 13 0 0 0
loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + ((i * x) * (2 + 1))),(x + 1),0)
A274823: 1 7 65
A069015: 1 7 65 786 11814 212772 4468932 107259408 2896044336 86881692960 2867099496480 103215621790080 4025409728814720 169067214837239040 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 2) * 2) * ((x + 2) + 1)),(x + 1),0))
A059158: 24 432 7008 112320 1797504 28760832 460174848 7362800640 117804816384 1884877074432 30158033215488 482528531496960 7720456504049664 123527304064991232 1976436865040252928
loop(\(x,i).((loop(\(x,i).(((x * 2) * 2) * 2),i,1) + x) + (x * 2)),(x + 1),0)
A271939: 8 88 776 6424 52040 418264 3351944 26833048 214716872 1717892440 13743611912 109950312472 879606751304 7036866765016 56294972383880 450359893862296
loop(\(x,i).loop(\(x,i).((((i * i) * (i + 1)) div 2) + x),i,(0 - x)),(x + 1),0)
A070893: 1 6 19 46 94 172 290 460 695 1010 1421 1946 2604 3416 4404 5592
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(i + 2),1) + x),(x + 1),0)
A161770: 1000 11000 111000 1111000 11111000 111111000 1111111000 11111111000 111111111000 1111111111000
loop(\(x,i).(loop(\(x,i).((i + 2) * x),(i - 1),1) + ((i + 2) * x)),(x + 1),0)
A001711: 1 7 47 342 2754 24552 241128 2592720 30334320 383970240 5231113920 76349105280 1188825724800 19675048780800 344937224217600 6386713749964800
(loop(\(x,i).(((2 + 1) * x) + 1),x,0) * loop(\(x,i).((x * 2) + 1),(x - 1),0))
A059945: 0 0 4 39 280 1815 11284 68859 416560 2509455 15086764 90610179 543928840 3264374295 19588645444 117539063499
(loop(\(x,i).(1 - (x * 2)),x,0) - loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),0))
A094556: 0 1 0 7 8 51 100 407 1008 3451 9500 30207 87208 268451 791700 2402407
((((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) - 1) * 2) * 2) + (if x <= 0 then 1 else 0))
A159742: 13 44 108 236 492 1004 2028 4076 8172 16364 32748 65516 131052 262124 524268 1048556
(loop(\(x,i).((((x * 2) - 1) * ((2 + 2) + 1)) - 1),x,2) + (if x <= 0 then 1 else 0))
A073550: 3 14 134 1334 13334 133334 1333334 13333334 133333334 1333333334 13333333334 133333333334 1333333333334 13333333333334 133333333333334 1333333333333334
(if (x mod (((2 + 2) * 2) + 1)) <= 0 then loop(\(x,i).(((i * 2) - 1) * x),x,1) else 0)
A271769: 1 0 0 0 0 0 0 0 0 34459425 0 0 0 0 0 0
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then loop(\(x,i).(((i * 2) - 1) * x),x,1) else 0)
A271770: 1 0 0 0 0 0 0 0 0 0 654729075 0 0 0 0 0
(if (2 - x) <= 0 then (if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 2) else 0)
A055734: 0 0 1 1 1 1 2 1 2 1 2 1 2 2 1 1
(1 - (if (if x <= 0 then 1 else (x mod ((((x + 1) div 2) div (2 + 1)) + 1))) <= 0 then 2 else 0))
A064179: 1 ~1 ~1 ~1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 1 ~1
(if x <= 0 then 1 else (if (x mod ((((x div 2) + 1) div ((x mod 2) + 1)) + 1)) <= 0 then 2 else 0))
A260671: 1 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2
(if x <= 0 then 1 else (if ((((x * x) * x) + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 0))
A028928: 1 0 0 2 0 2 2 0 0 0 2 0 2 2 0 0
(1 - (if x <= 0 then 1 else (if ((x - 2) mod (((2 - x) mod (2 + 2)) + 1)) <= 0 then 2 else 0)))
A011609: 0 1 ~1 1 1 1 ~1 1 ~1 1 ~1 1 1 1 ~1 1
(if x <= 0 then 1 else (if (x mod (((2 + 2) * 2) + 1)) <= 0 then (((x * 2) + 1) * 2) else 0))
A023930: 1 0 0 0 0 0 0 0 0 38 0 0 0 0 0 0
(if x <= 0 then 1 else (if (x mod (((2 + 2) + 1) * 2)) <= 0 then (((x * 2) + 1) * 2) else 0))
A023932: 1 0 0 0 0 0 0 0 0 0 42 0 0 0 0 0
(if (2 - x) <= 0 then (if (x - ((x * x) mod (((2 + 2) * 2) + x))) <= 0 then 1 else 2) else 0)
A113971: 0 0 1 1 1 1 1 2 2 1 1 2 2 2 1 1
(if x <= 0 then 1 else (if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then ((x + 1) * 2) else 0))
A023925: 1 0 0 0 0 0 0 0 0 0 0 0 0 28 0 0
(if x <= 0 then 1 else (if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then ((x + 1) * 2) else 0))
A023923: 1 0 0 0 0 0 0 0 0 0 0 24 0 0 0 0
(1 - (if x <= 0 then 1 else (if ((((x + 1) div 2) * x) mod ((2 + 1) * 2)) <= 0 then 2 else 0)))
A011623: 0 1 1 ~1 1 1 ~1 1 1 1 1 ~1 ~1 1 1 ~1
(1 - (if x <= 0 then 1 else (if ((x - 2) mod ((((x - 1) div 2) mod 2) + 2)) <= 0 then 2 else 0)))
A011631: 0 1 ~1 1 1 1 ~1 1 ~1 1 ~1 ~1 1 1 ~1 1
(1 - (if x <= 0 then 0 else (if (x mod (((2 - x) mod ((2 + 2) * 2)) + 2)) <= 0 then 2 else 0)))
A269529: 1 1 ~1 1 1 1 ~1 1 ~1 ~1 ~1 1 1 1 1 ~1
loop(\(x,i).(i + x),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2),0)
A144519: 6 15 28 66 91 153 190 276 435 496 703 861 946 1128 1431 1770
loop(\(x,i).(i + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),0)
A034953: 3 6 15 28 66 91 153 190 276 435 496 703 861 946 1128 1431
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) - 2),(x * 2),0))
A155620: 1 12 96 792 6816 60072 535536 4799352 43112256 387682632 3487832976 31385253912 282446313696 2541932937192 22877060890416 205892205836472
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + 1),x,0))
A075415: 0 36 4356 443556 44435556 4444355556 444443555556 44444435555556 4444444355555556 444444443555555556 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((((2 + 1) * x) * ((2 + 2) + 1)) + 1),x,0))
A260865: 0 1 256 58081 13075456 2942086081 661970995456 148943498386081 33512287502995456 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) - loop(\(x,i).((x - (i mod 2)) * 2),i,1)) + 1),x,0)
A109765: 0 1 5 23 97 399 1617 6511 26129 104687 419089 1677039 6709521 26840815 107368721 429485807
loop(\(x,i).(x * x),1,loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,0))
A075412: 0 9 1089 110889 11108889 1111088889 111110888889 11111108888889 1111111088888889 111111110888888889 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((1 - x) * (2 + 2))) * 2) + 1),x,0))
A075416: 0 49 5929 603729 60481729 6049261729 604937061729 60493815061729 6049382595061729 604938270395061729 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * (2 + 1)),x,1) + loop(\(x,i).(((x * 2) * 2) + 1),x,0))
A162725: 1 1 2 9 46 221 1002 4369 18566 77541 320002 1309529 5326686 21572461 87087002 350739489
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) + loop(\(x,i).(((x * 2) * 2) + 1),x,0))
A188545: 1 3 10
A085282: 1 3 10 35 126 463 1730 6555 25126 97223 379050 1486675 5858126 23166783 91869970 365088395
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(((x * 2) * 2) + 1),x,0))
A155485: 1 4 20 104 540 2784 14260 72664 368780 1865744 9416100 47430024 238548220 1198333504 6014037140 30159664184
loop(\(x,i).(x * x),1,loop(\(x,i).(x - (1 - (((x * 2) * 2) * (2 + 1)))),x,0))
A260863: 0 1 196 33489 5664400 957345481 161792190756 27342890695849 4620948663553600 780940325907974961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),x,0))
A260861: 0 1 144 17689 2143296 259371025 31384248336 3797497946089 459497294348544 55599173087763361 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155590: 1 8 52 350 2416 16838 117712 823670 5765056 40354118 282476272 1977328790 13841291296 96889018598 678223089232 4747561542710
loop(\(x,i).(x * x),1,loop(\(x,i).((((((2 + 1) * 2) + 1) * x) * 2) + 1),x,0))
A260864: 0 1 225 44521 8732025 1711559641 335466848025 65751518430361 12887297839395225 2525910379700086681 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0))
A186194: 0 2 132 12432 1235432 123465432 12345765432 1234568765432 123456798765432 12345679098765432 1234567902098765432 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(x - 1),loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0))
A091904: 0 1 4 48 320 2816 21504 176128 1392640 11206656 89391104 716177408 5725224960 45818576896 366481506304 2932120485888
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0))
A093833: 1 2 8 24 76 232 708 2144 6476 19512 58708 176464 530076 1591592 4777508 14337984
(loop(\(x,i).((((i mod 2) + x) * 2) + x),x,0) - loop(\(x,i).((x * 2) + 1),x,0))
A140420: 0 1 3 13 45 151 483 1513 4665 14251 43263 130813 394485 1187551 3570843 10728913
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,0))
A155598: 1 6 46 336 2386 16776 117586 823416 5764546 40353096 282474226 1977324696 13841283106 96889002216 678223056466 4747561477176
(loop(\(x,i).(((2 + 1) * x) + 1),x,(2 + 2)) * loop(\(x,i).((x * 2) + 1),x,0))
A253512: 0 13 120 847 5460 33883 206640 1249807 7528620 45260803 271831560 1631788567 9793126980 58765944523 352617206880 2115767844127
(loop(\(x,i).(((x * 2) + 1) * 2),x,0) - loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A081674: 0 1 6 29 130 561 2366 9829 40410 164921 669526 2707629 10919090 43942081 176565486 708653429
loop(\(x,i).(((x * x) * (x + 1)) div 2),1,loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A152257: 0 1 40 1183 32800 893101 24180520 653473003 17649155200 476575627801 12867977828200 347439324082423 9380897054183200 253284538196972101 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A304723: 0 1 20 325 5000 75625 1137500 17078125 256250000 3844140625 57664062500 864970703125 12974609375000 194619384765625 2919291992187500 43789385986328125
loop(\(x,i).((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 1) * (x + 1)),x,0)
A053754: 0 2 3 8 9 10 11 12 13 14 15 32 33 34 35 36
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - (x - 1)),x,0)
A008347: 0 2 1 4 3 8 5 12 7 16 13 18 19 22 21 26
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) - loop(\(x,i).(((x + 2) + 1) * 2),x,0))
A245023: 3 3 9 39 153 543 1809 5799 18153 55983 171009 519159 1569753 4733823 14250609 42850119
loop(\(x,i).((((x + 1) * x) * (2 + 1)) + 1),1,loop(\(x,i).((x + 1) * 2),x,0))
A169727: 1 19 127 631 2791 11719 48007 194311 781831 3136519 12564487 50294791 201252871 805158919 3220930567 12884312071
(loop(\(x,i).((((x div 2) + x) + 1) * 2),x,1) - loop(\(x,i).((x + 1) * 2),x,0))
A168605: 1 2 8 30 104 342 1088 3390 10424 31782 96368 291150 877544 2640822 7938848 23849310
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A155616: 1 8 40 188 880 4148 19720 94508 456160 2215268 10814200 53022428 260917840 1287811988 6371951080 31591319948
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A155603: 1 7 33 151 705 3367 16353 80311 397185 1972807 9824673 49005271 244672065 1222297447 6108298593 30531927031
((loop(\(x,i).((2 + 1) * x),x,(2 + 2)) - 1) - loop(\(x,i).((x + 2) * 2),x,0))
A169650: 3 7 23 79 263 847 2663 8239 25223 76687 232103 700399 2109383 6344527 19066343 57264559
loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).(x - (((i mod 2) - (x * 2)) * 2)),x,0)))
A279085: 1 6 44 424 4176 41696 416704 4166784 41666816
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),(i - 1),1) - ((x * 2) * 2)),x,0)
A051958: 0 1 2 28 104 880 4256 29632 161408 1033984 5941760 36699136 216000512 1312780288 7809572864 47125872640
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),((i * 2) - 2),1) + ((x * 2) * 2)),x,0)
A016153: 0 1 13 133 1261 11605 105469 953317 8596237 77431669 697147165 6275373061 56482551853 508359743893 4575304803901 41178011670565
loop(\(x,i).((((x div 2) + x) + 1) * x),1,loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A109774: 0 8 104 1040 9680 88088 795704 7170080 64556960 581091368 5230058504 47071235120 423643241840 3812795553848 34315179116504 308836669444160
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155606: 1 10 72 538 4176 33010 262872 2099338 16783776 134237410 1073800872 8590111738 68720008176 549757408210 4398051294072 35184386437738
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155613: 1 6 56 486 4016 32526 261416 2094966 16770656 134198046 1073682776 8589757446 68718945296 549754219566 4398041728136 35184357739926
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155610: 1 3 17 99 545 2883 14897 75939 384065 1933443 9706577 48650979 243609185 1219108803 6098732657 30503229219
loop(\(x,i).(((((if (x - 1) <= 0 then ((2 + 2) * 2) else x) * 2) * 2) + x) * 2),x,0)
A136957: 0 64 640 6400 64000 640000 6400000 64000000 640000000 6400000000 64000000000 640000000000 6400000000000 64000000000000 640000000000000
loop(\(x,i).((x * 2) + 1),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),0)
A135630: 0 1 7 31 511 2047 32767 131071 2097151 134217727 536870911 34359738367 549755813887 2199023255551 35184372088831 2251799813685247
(loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),1) - loop(\(x,i).(1 - (x * 2)),x,0))
A094554: 1 0 3 2 19 30 143 322 1179 3110 10183 28842 89939 262990 802623 2380562
loop(\(x,i).((((x + 2) * x) div 2) + 1),1,loop(\(x,i).((i mod 2) + (x * 2)),x,0))
A241894: 1 2 5 18 61 242 925 3698 14621 58482 233245 932978 3729181 14916722 59655965 238623858
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) - loop(\(x,i).((i mod 2) + (x * 2)),x,0))
A004054: 1 3 11 35 111 343 1051 3195 9671 29183 87891 264355 794431 2386023 7163531 21501515
loop(\(x,i).((loop(\(x,i).((((i mod 2) + x) * 2) - 1),i,0) + x) + (x * 2)),x,0)
A094705: 0 1 4 15 50 161 504 1555 4750 14421 43604 131495 395850 1190281 3576304 10739835
loop(\(x,i).(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),(i - 1),1) - x),x,0)
A002741: 0 1 ~1 2 0 9 35 230 1624 13209 120287 1214674 13469896 162744945 2128047987 29943053062
loop(\(x,i).(loop(\(x,i).(((((i mod 2) + 2) * i) + i) + x),(i - 1),1) + x),x,0)
A061349: 0 1 6 17 40 75 130 203 304 429 590 781 1016 1287 1610 1975
loop(\(x,i).(loop(\(x,i).(x * x),1,(((i - 1) mod ((2 + 2) * 2)) + 1)) + x),x,0)
A231685: 0 1 5 14 30 55 91 140 204 205 209 218 234 259 295 344
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + (((i * 2) + 1) * x)),x,0)
A334670: 0 1 8 71 744 9129 129072 2071215 37237680 741975345 16236211320 387182170935 9995788416600 277792140828825 8269430130712800 262542617405726175
loop(\(x,i).(loop(\(x,i).((i * x) * (i + 1)),(i - 1),1) + ((i * i) * x)),x,0)
A329930: 0 1 6 66 1200 32880 1270080 65862720 4418426880 372523898880 38569208832000 4811724352512000 712008517828608000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((if ((x div 2) mod (2 + 1)) <= 0 then (x div (2 + 1)) else 0) + 1))
A014726: 1 1 1 1 1 1 9 9 1 1 1 1 25 25 1 1
((if x <= 0 then 1 else (if (x mod (((x + 1) div ((2 + 2) + 1)) + 1)) <= 0 then 2 else 0)) - 1)
A165481-A011598: 0 1 1 1 1 ~1 1 ~1 1 1 ~1 ~1 1 ~1 ~1 ~1
(if x <= 0 then 0 else ((if (x mod (((x mod (2 + 2)) * (2 + 1)) + 1)) <= 0 then 2 else 0) + 1))
A306346: 0 1 1 1 3 1 1 1 3 1 1 1 3 1 3 1
((if x <= 0 then 1 else (if (x - ((x * x) mod (((x + 2) + 2) + 1))) <= 0 then 2 else 0)) - 1)
A011590: 0 1 1 ~1 1 1 ~1 ~1 1 1 1 ~1 ~1 ~1 ~1 ~1
(loop(\(x,i).(x div (2 - (x mod 2))),2,x) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))
A051724: 0 1 1 1 1 5 1 7 2 3 5 11 1 13 7 5
loop(\(x,i).(x div (2 - (x mod 2))),x,(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)))
A109375-A051712: 0 1 1 1 1 5 1 7 1 3 5 11 1 13 7 5
(if x <= 0 then 0 else (1 - (x mod ((if ((x - 2) mod ((2 + 2) * 2)) <= 0 then 2 else 0) + 1))))
A013595: 0 1 ~1 1 1 1 1 1 1 1 0 1 1 1 1 1
((loop(\(x,i).((x - i) * x),2,(x - 2)) * x) * (if ((x div 2) - 2) <= 0 then 0 else 1))
A052800: 0 0 0 0 0 0 720 2520 6720 15120 30240 55440 95040 154440 240240 360360
((((if x <= 0 then 0 else 2) + 2) * ((2 + 2) + 1)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040872: 30 20 60 20 60 20 60 20 60 20 60 20 60 20 60 20
((((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040704: 27 18 54 18 54 18 54 18 54 18 54 18 54 18 54 18
(((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) * ((if (x mod 2) <= 0 then 2 else 0) + 1))
A040422: 21 14 42 14 42 14 42 14 42 14 42 14 42 14 42 14
((if (2 - x) <= 0 then ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) - (x mod 2)) else 0) + 1)
A057217: 1 1 2 1 2 1 3 2 2 1 2 1 3 2 2 1
(loop(\(x,i).((((if (x - (2 + 2)) <= 0 then 1 else x) div (2 + 2)) + x) + 1),x,0) + 1)
A054961: 1 2 3 4 5 6 8 10 13 17
A086736: 1 2 3 4 5 6 8 10 13 17 22 28 35 44 55 69
((loop(\(x,i).(((2 + 1) * x) - 1),x,2) * loop(\(x,i).((x + 1) * 2),x,0)) + 1)
A001240: 1 11 85 575 3661 22631 137845 833375 5019421 30174551 181222405 1087861775 6528756781 39177307271 235078159765 1410511939775
(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),2) + (x * 2)) * 2),x,0) + 1)
A166132: 1 37 469 4789 45397 417781 3796885 34319413 309464533 2787540085 25097297941 225913430197 2033371866709 18300950780149 164710972940437 1482408420140341
(loop(\(x,i).((if (x mod ((x mod (2 + 2)) + 1)) <= 0 then 2 else 0) + (x * 2)),x,0) + 1)
A077465: 1 3 5 11 21 43 87 173 347 693 1387 2775 5549 11099 22197 44395
(loop(\(x,i).(loop(\(x,i).(((x + 2) + 1) * 2),(i - 1),1) + (x * 2)),x,0) + 1)
A048500: 1 2 11 43 135 375 967 2375 5639 13063 29703 66567 147463 323591 704519 1523719
(loop(\(x,i).(loop(\(x,i).(((x + 2) + 2) * 2),(i - 1),1) + (x * 2)),x,0) + 1)
A048502: 1 2 13 53 169 473 1225 3017 7177 16649 37897 85001 188425 413705 901129 1949705
(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) - 1),i,2) + (x * 2)),x,0) + 1)
A093953: 1 10 63 344 1781 9030 45403 227524 1138641 5695250 28480343 142409904 712065901 3560362270 17801876883 89009515484
((x + 1) div (1 - (x div (0 - (loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1)))))
A098805: 1 1 1 2 1 1 3 2 1 1 5 4 2 1 1 8
((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + (if x <= 0 then 0 else 1))
A337322-A309307: 0 1 1 1 1 3 1 1 1 3 1 3 1 3 3 1
(if ((((2 - x) * (x - 2)) div (2 + 1)) mod (2 + 1)) <= 0 then 2 else (if x <= 0 then 0 else 1))
A190592: 0 1 2 1 1 2 2 2 2 1 1 2 1 1 2 2
((loop(\(x,i).((x * 2) - 1),(x * 2),((2 + 2) * 2)) * 2) + (if x <= 0 then 0 else 1))
A292537: 16 59 227 899 3587 14339 57347 229379 917507 3670019 14680067 58720259 234881027 939524099 3758096387 15032385539
(loop(\(x,i).(((x * 2) * 2) * 2),2,loop(\(x,i).(((x + 2) * 2) + x),x,0)) + 1)
A036549: 1 257 1025 3329 10241 30977 93185 279809 839681 2519297 7558145 22674689 68024321 204073217 612219905 1836659969
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),i) - x),x,0) + 1)
A086910: 1 3 3 5 7 7 11 9 15 15 17 21 21 23 25 29
((if x <= 0 then 2 else (if ((x - 1) mod (((2 + 2) mod (x + 1)) + 1)) <= 0 then 0 else 1)) + 1)
A319956: 3 1 2 1 2 2 1 2 2 2 2 1 2 2 2 2
((x div (loop(\(x,i).(if (x div 2) <= 0 then ((i * 2) + 1) else (x div 2)),x,0) + 1)) + 1)
A193588: 1 1 2 1 2 3 1 2 3 5 1 2 3 5 8 1
loop(\(x,i).(i * x),(((x - 1) mod ((((if x <= 0 then 0 else 2) * 2) * 2) + 1)) + 1),1)
A269221: 1 1 2 6 24 120 720 5040 40320 362880 1 2 6 24 120 720
((x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + 1)
A326139-A325641-A325563-A302042-A302032-A280498-A280497-A280496-A280495-A159353-A079880-A032742: 1 1 1 2 1 3 1 4 3 5 1 6 1 7 5 8
((loop(\(x,i).(((2 + 1) * x) + 2),x,0) * (loop(\(x,i).(x * 2),x,1) + 1)) + 1)
A057009: 1 7 41 235 1361 7987 47321 281995 1685921 10096867 60524201 362972155 2177309681 13062280147 78368930681 470199300715
(((loop(\(x,i).((2 + 1) * x),x,1) + 1) * (loop(\(x,i).(x * 2),x,1) + 1)) - 1)
A074528: 3 11 49 251 1393 8051 47449 282251 1686433 10097891 60526249 362976251 2177317873 13062296531 78368963449 470199366251
((x div ((x mod (loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1)) + 1)) + 1)
A244734: 1 2 3 4 5 2 7 4 3 5 11 6 13 7 3 16
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 1) * 2) + 1)) else 1)
A040461: 21 1 42 1 42 1 42 1 42 1 42 1 42 1 42 1
(if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else 1)
A040811: 28 1 56 1 56 1 56 1 56 1 56 1 56 1 56 1
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) else 1)
A040755: 27 1 54 1 54 1 54 1 54 1 54 1 54 1 54 1
loop(\(x,i).(i * x),((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 1),1)
A109834: 1 2 6 24 120 720 5040 40320 362880 362880 362880 362880 362880 362880 362880 362880
loop(\(x,i).(i * x),((((if x <= 0 then 2 else (((2 + 1) * x) - 2)) div 2) * 2) - 1),1)
A137149: 1 1 6 120 362880 39916800 1307674368000 355687428096000 4611686018427387903 4611686018427387903 4611686018427387903
((if (x - 2) <= 0 then x else (if (x mod 2) <= 0 then (((x - 1) div 2) mod (2 + 2)) else 1)) + 1)
A103266: 1 2 3 2 2 2 3 2 4 2 1 2 2 2 3 2
(if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * ((2 + 2) + 1)) else 1)
A040929: 30 1 60 1 60 1 60 1 60 1 60 1 60 1 60 1
((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1) * 2) div ((2 + 2) + 1)) + 1)
A027293: 1 1 1 2 1 1 3 2 1 1 5 3 2 1 1 7
(if (x mod 2) <= 0 then ((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) else 1)
A040649: 25 1 50 1 50 1 50 1 50 1 50 1 50 1 50 1
(if (x mod (2 + 2)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * ((2 + 2) + 1)) else 1)
A040406: 20 1 1 1 40 1 1 1 40 1 1 1 40 1 1 1
loop(\(x,i).loop(\(x,i).(x * 2),x,1),(x - ((x * x) div (((x + 2) + 2) + 1))),1)
A230874: 1 2 4 4 16 16 16 16 65536 65536 65536 65536 65536 65536 65536 65536
(if x <= 0 then 2 else (((x * 2) mod (if (2 - x) <= 0 then (x div ((x mod 2) + 2)) else 1)) + 1))
A069347: 2 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1
(if x <= 0 then 0 else loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x - 1) * (2 + 1)),1))
A029802: 0 1 1000 1000000 1000000000 1000000000000 1000000000000000 1000000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) * (2 + 1)) + 1)
A198410: 7 37 271 2269 19927 177877 1596511 14355469 129159847 1162320517 10460530351 94143710269 847290203767 7625602267957 68630391713791 617673439330669
(((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) div 2) + 1) * 2) div (2 + 1)) + 1)
A287920: 1 1 1 2 1 1 3 2 1 1 5 3 2 1 1 6
loop(\(x,i).(i * x),(((((if (x mod 2) <= 0 then x else 2) + x) + 1) * 2) div (2 + 1)),1)
A073475: 1 2 6 24 720 120
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (((2 + 2) * (2 + 1)) + 1))
A040653: 26 13 52 13 52 13 52 13 52 13 52 13 52 13 52 13
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (((2 + 2) * (2 + 1)) - 1))
A040465: 22 11 44 11 44 11 44 11 44 11 44 11 44 11 44 11
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(x mod ((2 + 2) * (2 + 1))),1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A138815: 1 2 4 8 16 32 64 128 256 512 1024 2048 8191 16382 32764 65528
((((loop(\(x,i).(if x <= 0 then (i * 2) else (x - 1)),x,0) + x) * 2) div (2 + 1)) + 1)
A132171: 1 3 3 3 9 9 9 9 9 9 9 9 9 27 27 27
(((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x) + 2) div (2 + 1)) + 1)
A263111: 1 2 1 2 1 3 1 4 1 1 1 5 1 6 1 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) * (2 + 1)) + 1))
A016930: 1 282475249 137858491849 6131066257801 95367431640625 819628286980801 4808584372417849 21611482313284249 79792266297612001 253295162119140625 713342911662882601 1822837804551761449
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) * (2 + 1)) + 1))
A016932: 1 13841287201 23298085122481 2213314919066161 59604644775390625 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x - (if (i - x) <= 0 then (i + 1) else 0)),x,x) * 2) div (2 + 1)) + 1)
A180177: 1 0 1 1 0 1 1 2 0 1 1 2 3 0 1 1
((loop(\(x,i).((((x * 2) * 2) * 2) - (if x <= 0 then 0 else 1)),2,x) * (2 + 1)) - 1)
A063354: ~1 164 356 548 740 932 1124 1316 1508 1700 1892 2084 2276 2468 2660 2852
((loop(\(x,i).(x * 2),x,1) - (((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1))) - 1)
A192225: 0 1 2 5
A282153: 0 1 2 5 13 30 63 127 254 509 1021 2046 4095 8191 16382 32765
(((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else 2)) + ((x + 2) * x)) * (2 + 1)) + 1)
A290709: 4 22 49 94 169 298 529 958 1777 3370 6505 12718 25081 49738 98977 197374
(if (x mod (2 + 1)) <= 0 then 1 else (if (x mod ((2 + 2) + 1)) <= 0 then (x - (2 + 1)) else 1))
A305567: 1 1 1 1 1 2 1 1 1 1 7 1 1 1 1 1
(if (x mod (2 + 1)) <= 0 then 0 else loop(\(x,i).(((2 + 2) + 1) * x),(x div (2 + 1)),1))
A133337: 0 1 1 0 5 5 0 25 25 0 125 125 0 625 625 0
(loop(\(x,i).((x * x) * (x - 2)),1,loop(\(x,i).((2 + 1) * x),x,(2 + 1))) + 1)
A212925: 10 568 18226 518320 14230810 386357608 10450787266 282343443040 7624822644010 205884158525848 5558997804436306 150094070437926160 4052550069287319610 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * x) * x),x,2) div loop(\(x,i).((2 + 1) * x),x,(2 + 1))) + 1)
A234039: 1 1 19 1657009 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,2) - ((((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) - 1))
A130750: 1 3 8 17 33 64 127 255 512 1025 2049 4096 8191 16383 32768 65537
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) * (2 + 1)) + 1)
A055246: 1 7 19 25 55 61 73 79 163 169 181 187 217 223 235 241
(x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)))
A302043-A060681: 0 1 2 2 4 3 6 4 6 5 10 6 12 7 10 8
(if (((x mod 2) * x) div 2) <= 0 then ((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1) else 1)
A326584: 1 2 3 1 5 1 7 1 3 1 11 1 13 1 3 1
((loop(\(x,i).(((x + 2) * 2) + x),x,1) mod (loop(\(x,i).(x * 2),x,2) - 1)) + 1)
A297446: 1 2 5 5 25 35 27 185 264 737 1104 3185 5268 15515 29727 55760
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((x * 2) * 2) + 1),((x + 2) + 1),1))
A166917: 85 1364 21840 349504 5592320 89478144 1431654400 22906486784 366503854080 5864061927424 93824991887360 1501199874392064 24019198007050240 384307168179912704 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,x) + 1),((x * 2) + 1),1)
A031982: 101 1010101 10101010101 101010101010101 1010101010101010101 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + (x * 2)),((x * 2) + 1),1)
A037665: 3 28 252 2271 20440 183960 1655643 14900788 134107092 1206963831 10862674480 97764070320 879876632883 7918889695948 71270007263532 641430065371791
loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (i mod 2)) - 1) * x),((x * 2) + 1),1)
A090770: 2 48 23040 185794560 24257337753600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),((x * 2) + 1),1)
A053128: 7 84 462 1716 5005 12376 27132 54264 100947 177100 296010 475020 736281 1107568 1623160 2324784
loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),((x * 2) + 1),1)
A053130: 9 165 1287 6435 24310 75582 203490 490314 1081575 2220075 4292145 7888725 13884156 23535820 38608020 61523748
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(x - (x div ((x mod 2) + 1))),1))
A290234: 1 2 7 12 31 56 127 240 511 992 2047 4032 8191 16256 32767 65280
((if (x - 2) <= 0 then x else (loop(\(x,i).(((x * x) div (2 + 1)) + x),x,2) - 1)) + 1)
A226961: 1 2 3 18 126 5418
(loop(\(x,i).((if (x mod (2 + 1)) <= 0 then ((x div 2) * 2) else 1) * (x + 1)),x,1) + 1)
A283874: 2 3 4 9 10 81 82 6561 6562 43046721 43046722 1853020188851841 1853020188851842 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i * x),(compr(\x.((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2),x) + 1),1)
A062313: 1 24 720 40320 362880 3628800 479001600 87178291200 1307674368000 20922789888000 6402373705728000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),(x * 2),1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A074515: 3 14 98 794 6818 60074 535538 4799354 43112258 387682634 3487832978 31385253914 282446313698 2541932937194 22877060890418 205892205836474
((loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A155630: 1 6 66 666 6306 58026 527346 4766586 42981186 387158346 3485735826 31376865306 282412759266 2541798719466 22876524019506 205890058352826
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A074512: 3 11 53 281 1553 8801 50753 296321 1745153 10339841 61514753 366991361 2193559553 13127802881 78632599553 471258726401
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) - 1)
A155617: 1 9 51 279 1551 8799 50751 296319 1745151 10339839 61514751 366991359 2193559551 13127802879 78632599551 471258726399
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A155627: 1 3 21 153 1041 6753 42561 263553 1614081 9815553 59417601 358602753 2160005121 12993585153 78095728641 469111242753
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A074511: 3 10 42 190 882 4150 19722 94510 456162 2215270 10814202 53022430 260917842 1287811990 6371951082 31591319950
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A155626: 1 2 10 62 370 2102 11530 61742 325090 1690982 8717050 44633822 227363410 1153594262 5835080170 29443836302
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A066138: 3 111 10101 1001001 100010001 10000100001 1000001000001 100000010000001 10000000100000001 1000000001000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A168624: 1 91 9901 999001 99990001 9999900001 999999000001 99999990000001 9999999900000001 999999999000000001 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1))
A168575: 8 1331 1030301 1003003001 1000300030001 1000030000300001 1000003000003000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) + 2),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A169601: 2 83 9803 998003 99980003 9999800003 999998000003 99999980000003 9999999800000003 999999998000000003 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A272066: 0 729 970299 997002999 999700029999 999970000299999 999997000002999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),2,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A319358: 0 387420489 913517247483640899 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * x) + 1) * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A020514: 5 31 341 4681 69905 1082401 17043521 270549121 4311810305 68853957121 1100586419201 17600780175361 281543712968705 4504149450301441 72061992352890881 1152956690052710401
(loop(\(x,i).((((x * x) + 1) * x) * (x - 1)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A020518: 1 11 205 3641 61681 1016801 16519105 266354561 4278255361 68585520641 1098438933505 17583600302081 281406274007041 4503049938657281 72053196259835905 1152886321308467201
((loop(\(x,i).(((x * 2) * 2) - (i + 1)),x,1) + loop(\(x,i).(x * 2),x,1)) + 1)
A243514: 3 5 10 25 76 263 978 3773 14824 58771 234046 934121 3732372 14921279 59668714 238642069
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + 1)
A074503: 3 10 54 352 2418 16840 117714 823672 5765058 40354120 282476274 1977328792 13841291298 96889018600 678223089234 4747561542712
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,1)) + 1)
A183978: 4 6 9 15 25 45 81 153 289 561 1089 2145 4225 8385 16641 33153
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 1) * (loop(\(x,i).(x * 2),x,1) + 1))
A034517: 4 18 130 1134 10642 103158 1015690 10078254 100390882 1001953638 10009766650 100048830174 1000244144722 10001220711318 100006103532010 1000030517610894
((loop(\(x,i).(x * 2),(x + 2),(2 + 2)) - 1) * (loop(\(x,i).(x * 2),x,1) + 1))
A165133: 30 93 315 1143 4335 16863 66495 264063 1052415 4201983 16792575 67139583 268496895 1073864703 4295213055 17180360703
((x + 2) div (loop(\(x,i).(if (x div 2) <= 0 then ((i * 2) + 1) else (x div 2)),x,1) + 1))
A208343: 1 0 2 0 1 3 0 1 2 5 0 1 2 5 8 0
loop(\(x,i).i,(loop(\(x,i).(x * 2),x,(((0 - x) mod (2 + 2)) - 1)) mod (x + 1)),1)
A166361: 1 1 1 1 4 4 1 1 5 4 1 1
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * 2) - 1) * 2) * (2 + 1)),(x + 1),1))
A127860: 36 4356 617796 88849476 12792967236 1842170994756 265272427798596 38199227257643076 4611686018427387903 4611686018427387903
(if (x - 1) <= 0 then (x * 2) else ((loop(\(x,i).(i * x),(x - 2),1) div (x + 1)) + 1))
A061545: 0 2 1 1 1 2 4 16
(loop(\(x,i).(i * x),x,1) div (x - ((loop(\(x,i).(i * x),x,1) mod (x + 1)) - 1)))
A092043: 1 1 2 3 24 20 720 630 4480 36288 3628800 3326400 479001600 444787200 5811886080 81729648000
loop(\(x,i).(i mod (2 + 1)),(loop(\(x,i).((i + 2) * x),(2 + 2),2) mod (x + 1)),1)
A035160: 1 1 1 1 1 1 0 1 1 1 2 1 2 0 1 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((2 + 2) * (x + 1)) - 1))
A016846: 59049 282475249 25937424601 576650390625 6131066257801 41426511213649 205891132094649 819628286980801 2758547353515625 8140406085191601 21611482313284249 52599132235830049 119042423827613001
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((2 + 2) * (x + 1)) - 1))
A016848: 531441 13841287201 3138428376721 129746337890625 2213314919066161 21914624432020321 150094635296999121 787662783788549761 3379220508056640625 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1))
A163664: 110 10100 1001000 100010000 10000100000 1000001000000 100000010000000 10000000100000000 1000000001000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) div 2),1,loop(\(x,i).((((i * 2) + 1) * x) * 2),(x + 1),1))
A072477: 18 1800 352800 114307200 55324684800 37399486924800 33659538232320000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),(x - 2),loop(\(x,i).((2 + 1) * x),((x + 2) * (x + 1)),1))
A255510: 9 729 531441 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) - ((i * 2) + 1)) * x),(x + 1),1)
A237187: 1 11 627 154869 156882297 640550418651 10485169802898219 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else ((loop(\(x,i).(((x * 2) * 2) + 1),(x - 2),x) div (x + 1)) + 1))
A127966: 2 1 1 4 14 57
(x - (loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) - 1))
A101921: 0 1 4 4 8 9 12 11 16 17 20 20 24 25 28 26
loop(\(x,i).(x * 2),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A130188: 1 4 4 32 16 64 64 1024 256 1024 1024 8192 4096 16384 16384 524288
loop(\(x,i).(x * 2),(x - (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))),1)
A059991: 1 1 4 1 16 16 64 1 256 256 1024 256 4096 4096 16384 1
(if x <= 0 then 0 else loop(\(x,i).((((i * x) * 2) * ((i * 2) - 1)) + 1),(x - 1),1))
A051396: 0 1 3 37 1111 62217 5599531 739138093 134523132927 32285551902481 9879378882159187 3754163975220491061 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((if (2 - x) <= 0 then x else 2) * 2) * 2) - (x mod (2 + 1))),(x - 1),1)
A056120: 1 1 7 27 108 432 1728 6912 27648 110592 442368 1769472 7077888 28311552 113246208 452984832
(if x <= 0 then 0 else loop(\(x,i).((((x * 2) * 2) * 2) * ((i * 2) - 1)),(x - 1),1))
A052734: 0 1 8 192 7680 430080 30965760 2724986880 283398635520 34007836262400 4625065731686400 703009991216332800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((2 + 1) * x) - 1),x,1) - loop(\(x,i).((x + 1) * 2),(x - 1),1))
A094734: 0 1 1 4 19 76 271 904 2899 9076 27991 85504 259579 784876 2366911 7125304
(if (x - 1) <= 0 then (x + 2) else loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x - 1),1))
A155148: 2 3 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000
(loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),1) - loop(\(x,i).(x * 2),(x - 1),1))
A000392: 0 0 0 1 6 25 90 301 966 3025 9330 28501 86526 261625 788970 2375101
(loop(\(x,i).(x * 2),(((x - 1) * x) div 2),1) - loop(\(x,i).(x * 2),(x - 1),1))
A326289: 0 0 0 4 56 1008 32736 2097088 268435328 68719476480 35184372088320 36028797018962944 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + 1) * x),(x - 1),1)
A015506: 1 1 7 224 35168 27501376 107447876032 2098671914657024 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x - 1) <= 0 then 1 else (((x * x) * (x * x)) - 1)) + x),(x - 1),1)
A112969: 1 1 2 17 83537 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(((x * 2) * (2 + 1)) + 1),i,1) * x) + x),(x - 1),1)
A015507: 1 1 8 352 91520 142405120 1328924579840 74403829376081920 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1) * x) + x),(x - 1),1)
A015509: 1 1 10 740 433640 2030302480 76034827876000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 1)),i,x),(x - 1),1)
A296590: 1 1 3 30 1050 132300 61122600 104886381600 674943865596000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(x * 2),(i - ((x * 2) div (i + 1))),1) + x),x,1) + 1)
A260794: 2 3 5 7 11 15 19 27 35 43
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A074510: 3 12 74 540 4178 33012 262874 2099340 16783778 134237412 1073800874 8590111740 68720008178 549757408212 4398051294074 35184386437740
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A074507: 3 9 35 153 707 3369 16355 80313 397187 1972809 9824675 49005273 244672067 1222297449 6108298595 30531927033
loop(\(x,i).((x * 2) * 2),loop(\(x,i).((i - (x div ((i + 2) + 1))) * x),x,1),1)
A101407: 4 4 16 4096 281474976710656 4611686018427387903
(loop(\(x,i).((x * 2) * (x - 1)),1,loop(\(x,i).(((i mod 2) - 2) * x),x,1)) + 1)
A171663: 1 5 5 13 25 41 113 145 481 545 1985 2113 8065 8321 32513 33025
(loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1) - 1)
A035927: 0 9 54 219 714 2001 5004 11439 24309 48619 92377 167959 293929 497419 817189 1307503
(loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,1) - 1)
A124090: 0 7 35 119 329 791 1715 3431 6434 11439 19447 31823 50387 77519 116279 170543
(loop(\(x,i).((((x * x) + 1) * x) * (x + 1)),1,loop(\(x,i).(i * x),x,1)) + 1)
A259264: 5 5 31 1555 346201 209102521 269112327121 645369332030641 2642973843312270721 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * x) + 1) * x) * (x - 1)),1,loop(\(x,i).(i * x),x,1)) + 1)
A260077: 1 1 11 1111 318505 205646281 268365829681 645113283892561 2642842746670654081 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(if x <= 0 then 1 else ((((i mod 2) + x) * (2 + 1)) + x)),x,0) * 2) + 1)
A330795: 1 3 9 39 153 615 2457 9831 39321 157287 629145 2516583 10066329 40265319 161061273 644245095
(if (2 - x) <= 0 then (((((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) - 1) * 2) else 1)
A257076: 1 1 0 ~2 ~2 0 2 2 0 ~2 ~2 0 2 2 0 ~2
(((loop(\(x,i).((if (i - 1) <= 0 then 2 else ((x * x) div 2)) * x),x,1) + 1) * 2) + 1)
A071781: 5 7 11 67 32771
(if x <= 0 then 0 else (if ((x + 2) mod ((((x mod (2 + 2)) * 2) * 2) + 1)) <= 0 then 2 else 1))
A174541: 0 1 1 1 2 1 1 1 2 1 1 2 2 2 1 1
((if (x mod (2 + 1)) <= 0 then 2 else 1) div (if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 2 else 1))
A091950: 1 0 0 2 1 1 2 1 1 1 0 0 2 1 1 2
((((loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1) * 2) div (2 + 1)) * 2) + 1)
A098971: 1 3 5 5 11 11 11 11 21 21 21 21 21 21 21 21
loop(\(x,i).(x * 2),(if (x - 1) <= 0 then x else ((((x div 2) * 2) div (2 + 1)) + 2)),1)
A048656: 1 2 4 4 8 8 16 16 16 16 32 32 64 64 64 64
loop(\(x,i).(i * x),(if (x - 1) <= 0 then x else ((((x div 2) * 2) div (2 + 1)) + 2)),1)
A132369: 1 1 2 2 6 6 24 24 24 24 120 120 720 720 720 720
((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * (if (x mod 2) <= 0 then ((2 + 1) * 2) else 1))
A040875: 30 10 60 10 60 10 60 10 60 10 60 10 60 10 60 10
((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * (((2 + 1) * 2) + 1))
A040425: 21 7 42 7 42 7 42 7 42 7 42 7 42 7 42 7
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (((2 + 1) * 2) + 1))
A040763: 28 7 56 7 56 7 56 7 56 7 56 7 56 7 56 7
(((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * 2) * (((2 + 1) * 2) + 1))
A040759: 28 14 56 14 56 14 56 14 56 14 56 14 56 14 56 14
loop(\(x,i).(((if (x mod 2) <= 0 then 2 else x) div 2) * (x + 1)),x,(((2 + 1) * 2) + 1))
A076602: 7 24 25 312 313 48984 48985 1199765112 1199765113 719718163185951384 719718163185951385 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then 2 else (if (2 - x) <= 0 then (((x + 2) * x) mod ((2 + 1) * 2)) else 1))
A214720: 2 1 2 3 2 5 2 3 2 3 2 5 2 3 2 3
(((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2) - 1) * 2) - 1)
A134770: 1 5 21 77 277 1005 3693 13725 51477 194477 739021 2821725 10816621 41602397 160466397 620470077
loop(\(x,i).(x * x),1,(((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + 1) * 2) + 1))
A110484: 25 49 81 121 169 289 361 441 529 625 729 841 961 1089 1225 1369
(((loop(\(x,i).((x + 2) * (x - 1)),x,2) - loop(\(x,i).(x * 2),x,1)) * 2) - 1)
A099084: 1 3 27 663
((loop(\(x,i).((2 + 1) * x),x,1) + 2) * ((loop(\(x,i).(x * 2),x,1) + 2) + 1))
A195116: 12 25 77 319 1577 8575 48977 286759 1699817 10137775 60645377 363332599 2178384857 13065493375 78378545777 470228096839
loop(\(x,i).(((x + 1) * x) div 2),x,loop(\(x,i).((x * x) * 2),((x + 1) * 2),1))
A051269: 8 536887296 4611686018427387903 4611686018427387903
(((if (x - 2) <= 0 then 1 else x) + loop(\(x,i).(x * 2),x,1)) + (((x + 1) div 2) + 1))
A309832: 3 5 7 14 23 41 74
((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,(x + 1)) * 2) + 1)
A054906: 3 3 5 3 3 5 3 3 5 3 7 5 3 3 7 5
(loop(\(x,i).(x * 2),(x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))),2) + 1)
A002586: 3 5 3 17 3 5 3 257 3 5 3 17 3 5 3 65537
((loop(\(x,i).((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x),x,(x + 1)) div 2) + 1)
A026285: 1 2 3 4 5 7 9 11 13 15 16 18 19 21 22 24
(loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,(x * 2)),(x - 1),2) - 1)
A185357: 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987
loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(((x * 2) * 2) + 1),((x - 1) div 2),1))
A263806: 1 3 7 47 95 703 1407 11007 22015 175103 350207 2797567 5595135 44744703 89489407 715849727
(((loop(\(x,i).(x * 2),(x - 2),x) + ((if x <= 0 then 1 else x) * (x - 1))) div 2) + 1)
A222010: 0 1 3 7
A129984: 0 1 3 7 15 31 64 134 285 613
(if (x mod 2) <= 0 then (((((2 + 1) * 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040379: 19 1 38 1 38 1 38 1 38 1 38 1 38 1 38 1
(if (x mod 2) <= 0 then (((((2 + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040551: 23 1 46 1 46 1 46 1 46 1 46 1 46 1 46 1
(if (x mod (2 + 2)) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A010195: 11 1 1 1 22 1 1 1 22 1 1 1 22 1 1 1
(if (x mod (2 + 2)) <= 0 then (((((2 + 2) * 2) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040294: 17 1 1 1 34 1 1 1 34 1 1 1 34 1 1 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010146: 7 1 6 1 14 1 6 1 14 1 6 1 14 1 6 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * 2) - 1) * (if x <= 0 then 1 else 2)) else 1)
A010131: 5 1 2 1 10 1 2 1 10 1 2 1 10 1 2 1
(if (x mod 2) <= 0 then (((((2 + 2) * (2 + 1)) + 1) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040701: 26 1 52 1 52 1 52 1 52 1 52 1 52 1 52 1
(if (x mod 2) <= 0 then (((((2 + 2) * (2 + 1)) - 1) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040505: 22 1 44 1 44 1 44 1 44 1 44 1 44 1 44 1
(if (x mod (2 + 2)) <= 0 then (((((2 + 1) * 2) + 1) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040200: 14 1 1 1 28 1 1 1 28 1 1 1 28 1 1 1
(((2 + 2) * (x + 1)) - (if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1))
A189534: 3 7 11 15 19 23 27 31 34 39 43 47 51 55 59 63
loop(\(x,i).((2 + 1) * x),(((((if (x mod 2) <= 0 then 2 else 0) + x) * x) + 1) * 2),1)
A115988: 9 81 387420489 3486784401 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).(((i mod 2) * (i + 1)) + x),i,1) + x),x,1) div 2) + 1)
A208971: 1 3 4 8 11 18 24 35 45 61 76 98 119 148 176 213
(if x <= 0 then 0 else loop(\(x,i).i,(((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))),1))
A333856: 0 1 1 1 1 2 1 1 2 3 1 3 1 2 4 1
(((loop(\(x,i).(loop(\(x,i).((i + 2) * x),i,1) + x),(x - 1),1) div 2) * 2) + 1)
A293458: 1 1 5 17 77 437 2957 23117 204557 2018957 21977357 261478157 3374988557 46964134157 700801318157 11162196262157
(if (x - 1) <= 0 then (x * 2) else (((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * 2) + 1))
A295977: 0 2 3 3 3 3 3 3 3 5 5 5 5 5 5 5
(if x <= 0 then 0 else (if ((x + 1) mod (((x * x) mod ((2 + 2) + 1)) + 2)) <= 0 then 2 else 1))
A275811: 0 1 1 1 1 2 1 1 1 1 1 2 1 1 2 2
((loop(\(x,i).(x * x),2,loop(\(x,i).((x * x) * 2),((x * 2) - 1),2)) div 2) - 1)
A139299: 7 2047 576460752303423487
(((loop(\(x,i).(loop(\(x,i).((x * 2) - 1),x,(x * 2)) + 1),x,1) + 2) * 2) + 1)
A084963: 7 13 233 4611686018427387903
(((if x <= 0 then 1 else ((if (((2 + 2) + 1) mod (x + 1)) <= 0 then x else 1) + 2)) * 2) - 1)
A101597: 1 5 5 5 11 5 5 5 5 5 5 5 5 5 5 5
(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) + 1))
A079904: 0 0 1 0 2 4 0 3 6 9 0 4 8 12 16 0
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) div 2) div 2)) + 1)
A162609: 1 1 1 1 2 3 1 3 5 7 1 4 7 10 13 1
((((if x <= 0 then 1 else (loop(\(x,i).((x * 2) - (i mod 2)),x,1) + 2)) + 2) * 2) + 1)
A112090: 7 11 13 15 21 31
(if (x mod (2 + 1)) <= 0 then (((if x <= 0 then 1 else (((x + 1) div 2) div 2)) mod 2) + 2) else 1)
A111625: 3 1 1 3 1 1 3 1 1 2 1 1 3 1 1 2
(loop(\(x,i).(x * 2),x,1) mod ((loop(\(x,i).((i * x) + 1),(2 + 2),2) * 2) + 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036153: 1 2 4 8 16 32 64 128 77 154 129 79 158 137 95 11
((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * ((((2 + 2) * 2) * 2) - 1))
A040873: 30 15 60 15 60 15 60 15 60 15 60 15 60 15 60 15
loop(\(x,i).(x * 2),x,(((loop(\(x,i).((x + 1) * 2),(x + 2),2) * 2) * 2) + 1))
A176635: 57 242 996 4040 16272 65312 261696 1047680 4192512 16773632 67101696 268421120 1073713152 4294909952 17179754496 68719247360
((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * (((2 + 2) * 2) + 1))
A040707: 27 9 54 9 54 9 54 9 54 9 54 9 54 9 54 9
loop(\(x,i).((0 - x) * 2),x,(loop(\(x,i).((0 - x) * 2),x,((2 + 2) * 2)) - 1))
A120470: 7 34 124 520 2032 8224 32704 131200 524032 2097664 8387584 33556480 134213632 536879104 2147467264 8589967360
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) * 2) * 2) + 1))
A017086: 1 3486784401 2015993900449 95367431640625 1531578985264449 13422659310152401 79792266297612001 362033331456891249 1346274334462890625 4297625829703557649 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) * 2) * 2) + 1))
A017088: 1 282429536481 582622237229761 59604644775390625 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then 1 else (if (x mod (2 + 1)) <= 0 then ((2 - ((x div 2) mod 2)) + 2) else 1))
A135939: 1 1 1 3 1 1 1 1 1 4 1 1 1 1 1 3
(loop(\(x,i).(x * 2),x,2) - (((loop(\(x,i).((x div 2) + x),x,2) div 2) div 2) + 1))
A038359: 1 3 6 14 29 60 123 248
((if x <= 0 then 2 else loop(\(x,i).(((x * x) - (2 + 1)) * x),(x - 1),(2 + 2))) + 1)
A087602: 3 5 53 140453
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).((x - 1) * x),2,(2 + 2)) - 1))
A271351: 1 3 9 27 81 112 74 91 11 33 99 35 105 53 28 84
(((x * x) + 2) div loop(\(x,i).((2 + 1) * x),2,(if (x mod 2) <= 0 then (2 + 2) else 1)))
A262397: 0 0 0 1 0 3 1 5 1 9 2 13 4 19 5 25
loop(\(x,i).(x * x),1,((((x + 2) + 2) * x) div (if (x mod 2) <= 0 then (2 + 2) else 1)))
A171638: 0 25 9 441 64 2025 225 5929 576 13689 1225 27225 2304 48841 3969 81225
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * ((2 + 2) + 1))
A040881: 30 5 60 5 60 5 60 5 60 5 60 5 60 5 60 5
((if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((2 + 2) + 1))
A040609: 25 5 50 5 50 5 50 5 50 5 50 5 50 5 50 5
(loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) div ((2 + 2) + 1))
A222010: 0 1 3 7
A051170: 0 1 3 7 14 25 42 66 99 143 200 273 364 476 612 775
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((2 + 1) * x) - 1),x,2) * ((2 + 2) + 1)))
A154410: 10 50 280 1640 9760 58400 350080 2099840 12597760 75584000 453498880 2720983040 16325877760 97955225600 587731271680 3526387466240
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) - 1)),x,((2 + 2) + 1))
A003079: 5 14 7 20 10 5 14 7 20 10 5 14 7 20 10 5
loop(\(x,i).(x * 2),x,loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,((2 + 2) + 1)))
A169963: 5 46 452 4504 45008 450016 4500032 45000064 450000128 4500000256 45000000512 450000001024 4500000002048 45000000004096 450000000008192 4500000000016384
(compr(\x.loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),x) + ((2 + 2) + 1))
A123123: 5 6 7 9 13 15 19 21 25 31 33 39 43 45 49 55
((x div ((if (x mod 2) <= 0 then 1 else ((if (x mod (2 + 1)) <= 0 then 1 else x) + 2)) + 2)) + 1)
A331991: 1 1 1 1 2 1 3 1 3 2 4 1 5 1 5 4
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).(((x * 2) + 1) * x),2,2) + 1))
A271352: 1 3 9 27 81 32 96 77 20 60 180 118 143 7 21 63
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070389: 1 5 25 39 23 29 16 37 13 22 24 34 41 33 36 8
((loop(\(x,i).(((x * 2) + 1) * x),1,loop(\(x,i).((x * 2) * 2),x,2)) + 2) + 1)
A195464: 13 139 2083 32899 524803 8390659 134225923 2147516419 34359869443 549756338179 8796095119363 140737496743939 2251799847239683 36028797153181699 576460752840294403 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),(if x <= 0 then 1 else (((x + 2) + 2) + 1)))
A081105: 1 6 35 200 1125 6250 34375 187500 1015625 5468750 29296875 156250000 830078125 4394531250 23193359375 122070312500
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) * 2) + 1))
A016823: 1 48828125 31381059609 1792160394037 34271896307633 350277500542221 2384185791015625 12200509765705829 50542106513726817 177917621779460413 550329031716248441 1532278301220703125 3909821048582988049 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).((((i * 2) - 1) * i) * x),((x * 2) * 2),1))
A210281: 1 5040 326918592000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x div 2),(((loop(\(x,i).(x * 2),x,1) + (x mod 2)) * 2) - 1))
A083332: 1 5 14 34 124 260 1016 2056 8176 16400 65504 131104 524224 1048640 4194176 8388736
loop(\(x,i).((x * 2) * 2),x,(((loop(\(x,i).(x * 2),x,1) + (x mod 2)) * 2) - 1))
A271494: 1 20 112 1088 7936 66560 520192 4210688 33488896 268697600 2146435072 17184063488 137422176256 1099578736640 8795824586752 70369817919488
((loop(\(x,i).((if x <= 0 then 1 else ((x * 2) * 2)) + 2),(x div 2),(x mod 2)) * 2) + 1)
A283323: 1 3 7 13 29 53 117 213 469 853 1877 3413 7509 13653 30037 54613
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2))) + 1)
A274230: 0 0 1 3 9 21 49 105 225 465 961 1953 3969 8001 16129 32385
loop(\(x,i).((x * x) * 2),1,(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) - 1))
A267638: 2 8 18 50 98 242 450 1058 1922 4418 7938 18050 32258 72962 130050 293378
(loop(\(x,i).((x + 2) * 2),x,loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2))) + 1)
A159229: 3 11 29 77 189 509 1277 3581 9213 26621 69629 204797 540669 1605629 4259837 12713981
((if x <= 0 then 1 else (if ((x div 2) mod 2) <= 0 then (x mod ((2 + 2) + 1)) else 0)) mod (2 + 1))
A076948: 1 1 0 0 1 0 0 0 0 1 0 0 2 0 0 0
(if x <= 0 then 1 else ((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then x else 0) * (2 + 1)))
A209614: 1 0 0 0 0 0 0 21 0 0 0 0 0 0 0 0
(loop(\(x,i).(((x * x) div 2) * x),1,loop(\(x,i).((x * 2) + 1),x,0)) div (2 + 1))
A026740: 0 0 4 56 560 4960 41664 341376 2763520 22238720 178433024 1429559296 11444858880 91592417280 732873539584 5863525154816
((loop(\(x,i).(x * 2),x,((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) + 1) div (2 + 1))
A087462: 1 1 1 8 5 11 64 43 85 512 341 683 4096 2731 5461 32768
((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * ((2 + 2) + 1)) else 1) * (2 + 1))
A040889: 30 3 60 3 60 3 60 3 60 3 60 3 60 3 60 3
((if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 1) * (2 + 1))
A040719: 27 3 54 3 54 3 54 3 54 3 54 3 54 3 54 3
((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * (2 + 1))
A040316: 18 3 3 3 36 3 3 3 36 3 3 3 36 3 3 3
(((loop(\(x,i).(x * 2),(x div 2),1) + loop(\(x,i).(x * 2),x,1)) + 1) div (2 + 1))
A090596-A018240: 1 1 2 3 7 12 24 45 91 176 352 693 1387 2752 5504 10965
(((loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + 1) div (2 + 1))
A087211: 1 2 4 12 32 92 264 772 2272 6732 20024 59732 178512 534172 1599784 4793892
(loop(\(x,i).(((x * x) div 2) * x),1,(loop(\(x,i).(x * 2),x,1) + 1)) div (2 + 1))
A092055: 1 4 20 120 816 5984 45760 357760 2829056 22500864 179481600 1433753600 11461636096 91659526144 733141975040 5864598896640
(loop(\(x,i).((x * x) div 2),1,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) div (2 + 1))
A275636: 0 2 16 130 1120 9922 88816 797890 7176640 64576642 581150416 5230235650 47071766560 423644836162 3812800336816 34315193465410
((if (x mod 2) <= 0 then ((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1))
A040433: 21 3 42 3 42 3 42 3 42 3 42 3 42 3 42 3
(((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else x)) - 1) div ((2 + 2) + 1)) mod (2 + 1))
A321005: 0 0 1 1 0 1 1 2 1 0 1 2 2 2 2 2
((loop(\(x,i).(x * 2),((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),2) + 1) div (2 + 1))
A112031: 3 1 5 1 11 3 21 5 43 11 85 21 171 43 341 85
(if x <= 0 then 1 else (loop(\(x,i).(((x * 2) - (x mod 2)) * 2),x,(2 + 1)) * (2 + 1)))
A277451: 1 30 120 480 1920 7680 30720 122880 491520 1966080 7864320 31457280 125829120 503316480 2013265920 8053063680
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) + 1) * (2 + 1)))
A016954: 59049 3486784401 576650390625 16679880978201 205891132094649 1531578985264449 8140406085191601 34050628916015625 119042423827613001 362033331456891249 984930291881790849 2446194060654759801 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) + 1) * (2 + 1)))
A016956: 531441 282429536481 129746337890625 7355827511386641 150094635296999121 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x mod (i + 2)) <= 0 then 2 else 0) + x),x,(((x * 2) + 1) * (2 + 1)))
A175073: 3 11 17 23 29 37 41 47 53 59 67 71 79 83 89 97
(loop(\(x,i).((x div 2) * x),1,(loop(\(x,i).((2 + 1) * x),x,2) + 1)) div (2 + 1))
A082413: 1 7 57 495 4401 39447 354537 3189375 28700001 258286887 2324542617 20920765455 188286534801 1694577750327 15251196564297 137260759512735
(loop(\(x,i).((loop(\(x,i).(x * 2),(i - 2),1) - x) * (2 + 1)),x,1) div (2 + 1))
A091005: 0 0 1 ~1 7 ~13 55 ~133 463 ~1261 4039 ~11605 35839 ~105469 320503 ~953317
((loop(\(x,i).((x - 1) * (2 + 1)),x,2) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A087432: 1 1 3 7 19 51 143 407 1179 3451 10183 30207 89939 268451 802623 2402407
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A082685: 1 4 18 86 422 2094 10438 52126 260502 1302254 6510758 32552766 162761782 813804814 4069015878 20345063006
(((loop(\(x,i).loop(\(x,i).(i * x),i,(x * 2)),x,1) - 1) * (x + 1)) * (2 + 1))
A079244: 0 6 63 1140
(((loop(\(x,i).(x * 2),x,2) + (if (x - 2) <= 0 then 1 else 2)) * (x + 1)) div (2 + 1))
A245762: 1 3 9 24 56 132
((if x <= 0 then 1 else (loop(\(x,i).(x * 2),(x div 2),(x mod 2)) mod (x + 1))) mod (2 + 1))
A113048: 1 1 0 2 0 1 0 0 0 0 0 2 0 2 0 0
(if x <= 0 then 1 else ((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)))
A110857: 1 0 0 0 1 0 0 1 1 0 0 2 2 2 0 0
(loop(\(x,i).(((if (2 - x) <= 0 then x else (2 + 2)) * (2 + 1)) + x),x,1) * (2 + 1))
A292542: 3 39 156 624 2496 9984 39936 159744 638976 2555904 10223616 40894464 163577856 654311424 2617245696 10468982784
(((loop(\(x,i).(x * 2),x,2) + 2) + loop(\(x,i).((2 + 1) * x),x,1)) * (2 + 1))
A087719: 15 27 57 135 345 927 2577 7335 21225 62127 183297 543735 1618905 4832127 14447217 43243335
(((loop(\(x,i).(if x <= 0 then 2 else ((x * 2) - (i + 1))),x,0) + 1) * 2) + (2 + 1))
A254154: 5 9 7 1 9 1 9
(((if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2) * (2 + 1))
A040879: 30 6 60 6 60 6 60 6 60 6 60 6 60 6 60 6
((if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 2) * (2 + 1))
A040710: 27 6 54 6 54 6 54 6 54 6 54 6 54 6 54 6
((((if (x - (2 + 1)) <= 0 then x else 0) + loop(\(x,i).(x * 2),x,1)) + 2) div (2 + 1))
A322051: 1 1 2 4 6 11 22 43 86 171 342 683 1366 2731 5462
(((if x <= 0 then 2 else (x - (loop(\(x,i).(i * x),x,2) mod (x + 1)))) * 2) div (2 + 1))
A239968: 1 0 0 2 0 3 0 4 5 6 0 7 0 8 9 10
((((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040426: 21 6 42 6 42 6 42 6 42 6 42 6 42 6 42 6
(((((if (x mod 2) <= 0 then (2 + 2) else 0) + 1) * 2) * (if x <= 0 then 1 else 2)) * (2 + 1))
A040874: 30 12 60 12 60 12 60 12 60 12 60 12 60 12 60 12
((loop(\(x,i).(loop(\(x,i).(x * x),1,((i div 2) + 2)) + x),x,1) * 2) + (2 + 1))
A271997: 5 13 31 49 81 113 163 213 285 357 455 553 681 809 971 1133
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).((x * x) + 1),2,(2 + 1)))
A271379: 1 5 25 24 19 95 71 52 58 88 36 79 92 56 78 87
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) * 2) * (2 + 1)))
A017530: 0 61917364224 63403380965376 3656158440062976 64925062108545024 604661760000000000 3743906242624487424 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) * 2) * (2 + 1)))
A017532: 0 8916100448256 36520347436056576 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),(x - 1),loop(\(x,i).((x - 1) * (2 + 1)),x,2)) div (2 + 1))
A321398: 0 1 2 10 84 984 14640 262800 5513760 132289920 3571464960 107140320000 3535590643200 127280784153600 4963944354969600 208485575730432000
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((2 + 1) * x) - 1),x,2)) div (2 + 1))
A051405: 2 10 70 574 5002 44530 399310 3589414 32291602 290585050 2615147350 23535971854 211822683802 1906400965570 17157599124190 154418363419894
(loop(\(x,i).((2 + 1) * x),(x + 2),1) + loop(\(x,i).(x * 2),(x + 2),(2 + 1)))
A235877: 21 51 129 339 921 2571 7329 21219 62121 183291 543729 1618899 4832121 14447211 43243329 129533379
(if x <= 0 then 2 else ((if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2) + ((x + 2) div (2 + 1))))
A339082: 2 2 3 3 4 4 3 4 5 5 6 6 5 6 7 7
loop(\(x,i).(x * 2),(x - 1),(if x <= 0 then 1 else (x - (1 - ((x * 2) * (2 + 1))))))
A229572: 1 6 26 80 216 544 1312 3072 7040 15872 35328 77824 169984 368640 794624 1703936
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((x * 2) * (2 + 1)))
A016919: 0 362797056 743008370688 64268410079232 1521681143169024 17714700000000000 131621703842267136 717368321110468608 3116402981210161152 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((2 + 1) * x) * (2 + 1)))
A017170: 0 3486784401 3570467226624 205891132094649 3656158440062976 34050628916015625 210832519264920576 984930291881790849 3743906242624487424 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((2 + 1) * x) * (2 + 1)))
A017172: 0 282429536481 1156831381426176 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) + (2 + 1))
A153040: 7 10 13 15 16 19 20 22 25 27 28 30 31 34 35 37
(if x <= 0 then 1 else ((if (x - (2 + 2)) <= 0 then x else (((2 + 2) * 2) + x)) + (2 + 1)))
A053738: 1 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26
(loop(\(x,i).(i * x),(x - 1),loop(\(x,i).(((x - 1) * x) div 2),2,x)) div (2 + 1))
A216119: 0 0 0 2 30 360 4200 50400 635040 8467200 119750400 1796256000 28540512000 479480601600 8499883392000 158664489984000
loop(\(x,i).(x * 2),(2 - x),loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)))
A114307: 12 60 300 3000 30000 300000 3000000 30000000 300000000 3000000000 30000000000 300000000000 3000000000000 30000000000000 300000000000000 3000000000000000
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + (2 + 1))
A033162: 3 4 6 7 12 13 15 16 30 31 33 34 39 40 42 43
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) * (2 + 1))
A081601: 0 3 9 12 27 30 36 39 81 84 90 93 108 111 117 120
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) * (2 + 1))
A179899: 0 12 21 30 36 39 48 51 57 66 72 75 81 84 93 96
(if (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0) <= 0 then x else (x mod (2 + 1)))
A004178: 0 1 2 0 4 5 6 7 8 9 10 11 12 1 14 15
(loop(\(x,i).((x * 2) * 2),(x + 1),2) + loop(\(x,i).((2 + 1) * x),x,(2 + 1)))
A213659: 11 41 155 593 2291 8921 34955 137633 543971 2156201 8565755 34085873 135812051 541653881 2161832555 8632981313
(1 - (((if (x - 2) <= 0 then 1 else (if (x mod 2) <= 0 then x else (1 - x))) + x) mod (2 + 1)))
A227625: 0 ~1 1 0 ~1 0 1 0 0 0 ~1 0 1 0 0 0
(loop(\(x,i).(x * 2),x,(2 + 2)) - ((if (x mod 2) <= 0 then (2 - x) else x) mod (2 + 1)))
A130869: 2 7 16 32 63 126 254 511 1024 2048 4095 8190 16382 32767 65536 131072
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (2 + 1))
A098090: 3 4 5 7 8 10 11 13 16 17 20 22 23 25 28 31
(loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,x) * (2 + 1))
A266733: 0 21 168 756 2520 6930 16632 36036 72072 135135 240240 408408 668304 1058148 1627920 2441880
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(2 + 1))
A253944: 3 24 108 360 990 2376 5148 10296 19305 34320 58344 95472 151164 232560 348840 511632
((compr(\x.((x + 1) mod (loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1)),x) * 2) + 1)
A081118: 1 3 5 7 11 13 15 23 27 29 31 47 55 59 61 63
((compr(\x.((x + 1) mod (loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1)),x) div 2) + 1)
A143038: 1 1 2 2 3 4 4 6 7 8 8 12 14 15 16 16
(loop(\(x,i).((x * 2) * 2),((((if x <= 0 then 0 else 2) * (2 + 1)) + 1) + x),2) - 1)
A247791: 7 131071 524287
loop(\(x,i).(((x * 2) * 2) * 2),x,(loop(\(x,i).((x * 2) * (2 + 1)),x,2) + 1))
A233251: 3 104 4672 221696 10620928 509640704 24461443072 1174138781696 56358577635328 2705211055407104 129850125290831872 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) * 2) + 1)
A326586-A071904: 9 15 21 25 27 33 35 39 45 49 51 55 57 63 65 69
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) * 2) - 1)
A092409-A007921: 7 13 19 23 25 31 33 37 43 47 49 53 55 61 63 67
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(((x + 1) * x) div 2),1)
A135757: 1 2 20 924 184756 155117520 538257874440 7648690600760440 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - 1) <= 0 then 1 else loop(\(x,i).(i * x),(x - 1),((((x + 1) * x) div 2) + 1)))
A187742: 1 1 4 14 66 384 2640 20880 186480 1854720 20321280 243129600 3153427200 44068147200 660064204800 10548573235200
(if x <= 0 then 0 else (((loop(\(x,i).(((x * 2) + 1) * 2),(2 + 2),2) * x) * 2) + 1))
A004970: 0 1365 2729 4093 5457 6821 8185 9549 10913 12277 13641 15005 16369 17733 19097 20461
loop(\(x,i).(x * x),1,(loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) + 1))
A151997: 9 169 12769 1238769 123498769 12346098769 1234572098769 123456832098769 12345679432098769 1234567905432098769 4611686018427387903
((loop(\(x,i).(x * x),1,loop(\(x,i).(((2 + 1) * x) + 2),(2 + 2),x)) * 2) - 1)
A157509: 12799 51841 117127 208657 326431 470449 640711 837217 1059967 1308961 1584199 1885681 2213407 2567377 2947591 3354049
(loop(\(x,i).(((2 + 1) * x) + 1),x,1) * (loop(\(x,i).((x * 2) * 2),x,2) - 1))
A269255: 1 28 403 5080 61831 745108 8952763 107475760 1289869711 15479049388 185750955523 2229020652040 26748283770391 320979546636868 3851755118036683 46221063628493920
(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) + 1)
A278741: 3 5 17 65 1025 4097 65537 262145 4194305 268435457 1073741825 68719476737 1099511627777 4398046511105 70368744177665 4503599627370497
(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) - 1)
A098102: 1 3 15 63 1023 4095 65535 262143 4194303 268435455 1073741823 68719476735 1099511627775 4398046511103 70368744177663 4503599627370495
(loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,0) * (loop(\(x,i).(x * 2),x,2) - 1))
A160874: 0 3 42 465 4836
(loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1) * (loop(\(x,i).(x * 2),x,2) - 1))
A046915: 1 18 217 2340 24211 246078 2480437 24902280 249511591 2497558338 24987792457 249938963820 2499694822171 24998474116998 249992370597277 2499961853010960
((compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) * 2) + 1)
A155474-A067800-A046446-A014076: 1 9 15 21 25 27 33 35 39 45 49 51 55 57 63 65
loop(\(x,i).(i * x),((((x div 2) * (x div 2)) div 2) + (if x <= 0 then 1 else (x * 2))),1)
A177771: 1 2 24 720 3628800 479001600 20922789888000 6402373705728000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) - ((x * 2) * 2)),(x * 2),1)
A165259: 1 61 4621 369181 29821741 2414250301 195533302861 15837861987421 1282861452271981 103911691734684541 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (if (x mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 0)) * ((x * 2) + 1))
A023936: 1 0 0 0 0 0 0 0 0 0 0 0 50 0 0 0
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) * (i + 1)) + x),x,1) div ((x * 2) + 1))
A092483: 1 1 1 2 3 5 9 17 32 60 114 218 418 803 1549 2995
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2) mod ((x * 2) + 1))
A192225: 0 1 2 5
A336257: 0 1 2 5 5 9 2 9 2 17 17 21 12 22 2 29
loop(\(x,i).loop(\(x,i).(x * 2),(x mod ((2 + 2) + 1)),1),(x mod 2),((x * 2) + 1))
A235995: 1 8 5 4 9 2
compr(\x.(1 - loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,x)),((x * 2) + 1))
A091785: 3 5 9 12 15 17 20 23 27 29 33 36 39 43 45 48
(if x <= 0 then 0 else (((if (x mod 2) <= 0 then ((2 + 2) * 2) else 0) + 1) * ((x * 2) - 1)))
A204877: 0 1 27 5 63 9 99 13 135 17 171 21 207 25 243 29
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) div ((x * 2) - 1))
A284016: ~1 2 2 4 10 28 84 264 858 2860 9724 33592 117572 416024 1485800 5348880
loop(\(x,i).(loop(\(x,i).i,(x div ((x div ((2 + 2) + 1)) + 2)),1) + x),(x * 2),1)
A108923: 1 3 6 10 15 21 28 36 44 52 60 68 76 84 92 100
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074621: 2 15 117 945 7857 66825 578097 5062905 44726337 397498185 3547250577 31743856665 284606318817 2554926522345 22955156619057 206361317079225
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074624: 2 17 145 1241 10657 91817 793585 6880121 59823937 521638217 4560526225 39970994201 351149013217 3091621642217 27274838966065 241075504183481
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074618: 2 14 106 854 7186 62174 547066 4861094 43437346 389373614 3496550026 31429887734 282673677106 2543086531454 22882895970586 205921649672774
((x * 2) - (loop(\(x,i).(x - (if x <= 0 then 0 else ((i * 2) + 1))),x,(x * 2)) - 1))
A100555: 1 4 9 9 9 16 16 16 25 25 25 25 25 36 36 36
loop(\(x,i).(0 - (((loop(\(x,i).(i * x),i,1) + x) * (i + 1)) + x)),(x * 2),1)
A201546: 1 14 444 25584 2342880 312888960 57424792320 13869128448000 4264876094976000 1627055289796608000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * (if (i - 2) <= 0 then 1 else x)) + x),(x * 2),1)
A067408: 1 15 960 61440 3932160 251658240 16106127360 1030792151040 65970697666560 4222124650659840 270215977642229760 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),(x * 2),1)
A053138: 1 55 715 5005 24310 92378 293930 817190 2042975 4686825 10015005 20160075 38567100 70607460 124403620 211915132
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),(x * 2),1)
A196789: 1 66 1001 8008 43758 184756 646646 1961256 5311735 13123110 30045015 64512240 131128140 254186856 472733756 847660528
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),(x * 2),1)
A053136: 1 36 330 1716 6435 19448 50388 116280 245157 480700 888030 1560780 2629575 4272048 6724520 10295472
(loop(\(x,i).((x * x) + 1),x,2) - loop(\(x,i).(((x * 2) * 2) * 2),(x div 2),1))
A295223: 1 4 18 669
(loop(\(x,i).(x * x),1,loop(\(x,i).(((i div 2) + 1) * x),x,1)) div ((x div 2) + 1))
A327904: 1 1 2 8 48 432 5184 82944 1658880 41472000 1244160000 44789760000 1881169920000 92177326080000 5161930260480000 330363536670720000
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * x) div 2) mod ((x div 2) + 1))
A259016: 0 0 1 0 2 2 0 3 3 3 0 5 5 5 4 0
(((if (x - 1) <= 0 then 1 else (if (x mod ((2 + 2) * 2)) <= 0 then 1 else 2)) - (x mod 2)) + 1)
A110917: 2 1 3 2 3 2 3 2 2 2 3 2 3 2 3 2
((loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - (x mod 2))) + (x mod 2)) - 1)
A085435: 3 9 63 225 1023 3969 16383 65025 262143 1046529 4194303 16769025 67108863 268402689 1073741823 4294836225
(loop(\(x,i).((if (i - 2) <= 0 then 1 else x) + (x * 2)),(x div 2),1) * ((x mod 2) + 1))
A018258: 1 2 3 6 7 14 21 42
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((x + 1) * 2),(x div 2),((x mod 2) + 1)))
A027556: 0 0 0 2 6 18 42 98 210 450 930 1922 3906 7938 16002 32258
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x mod 2) + 1))
A063886: 1 2 2 4 6 12 20 40 70 140 252 504 924 1848 3432 6864
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) - ((x mod 2) - 1))
A055247: 1 2 7 8 19 20 25 26 55 56 61 62 73 74 79 80
(loop(\(x,i).((loop(\(x,i).((x * 2) * (2 + 1)),(x - 2),x) + 1) * x),x,2) - 1)
A165711: 1 5 46661 4611686018427387903
(1 mod ((2 + 1) div ((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * 2) + 1)))
A251635: 1 ~2 1 0 ~2 1 0 0 ~2 1 0 0 0 ~2 1 0
(1 - (loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 - i) * (i + 1)) + x),x,2)) + 1))
A167592: ~2 ~8 ~16 0 160 896 3584 12288 38400 112640 315392 851968 2236416 5734400 14417920 35651584
((compr(\x.loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),2,x),x) * 2) + 1)
A209492: 1 3 5 7 9 11 15 17 19 23 31 33 35 39 47 63
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + 1),x,1))
A309827: 1 256 27556 2775556 277755556 27777555556 2777775555556 277777755555556 27777777555555556 2777777775555555556 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * 2) - 1) * ((2 + 2) + 1)) - 1),x,1))
A102807: 1 16 1156 111556 11115556 1111155556 111111555556 11111115555556 1111111155555556 111111111555555556 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1))
A098207: 1 961 109561 11095561 1110955561 111109555561 11111095555561 1111110955555561 111111109555555561 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),2,loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1))
A098208: 1 923521 12003612721 123111473904721 1234222258516824721 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + x) + ((x * 2) * (2 + 1))) - 1),x,1)
A016201: 1 10 77 554 3909 27426 192109 1345018 9415637 65910482 461375421 3229632042 22607432485 158252043778 1107764339213 7754350440026
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 1) * x) * (2 + 1)) + 1)),x,1)
A033962: 1 10 5 46 23 208 104 52 26 13 118 59 532 266 133 1198
loop(\(x,i).((((x * 2) * 2) - loop(\(x,i).((2 + 1) * x),(i - 2),1)) - 1),x,1)
A087433: 1 2 6 20 70 252 926 3460 13110 50252 194446 758100 2973350 11716252 46333566 183739940
loop(\(x,i).((x mod ((i div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)) + 2)) + 1),x,1)
A194103: 1 2 1 2 3 4 1 2 3 4 5 1 2 3 4 5
loop(\(x,i).(x * x),1,loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,1))
A309907: 1 169 17689 1776889 177768889 17777688889 1777776888889 177777768888889 17777777688888889 1777777776888888889 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * (2 + 1)) + loop(\(x,i).(x * 2),i,1)) * 2) - 1),x,1)
A016207: 1 15 187 2259 27139 325731 3908899 46907043 562885027 6754621347 81055458211 972665502627 11671986039715 140063832492963 1680765989948323 20169191879445411
loop(\(x,i).((((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)) * 2) - 1),x,1)
A016205: 1 13 137 1385 13881 138873 1388857 13888825 138888761 1388888633 13888888377 138888887865 1388888886841 13888888884793 138888888880697 1388888888872505
(if x <= 0 then 0 else (((loop(\(x,i).(((x * x) + (2 + 2)) * 2),2,2) + 1) * x) + 1))
A004968: 0 522 1043 1564 2085 2606 3127 3648 4169 4690 5211 5732 6253 6774 7295 7816
loop(\(x,i).(x - (if (x div (2 + 1)) <= 0 then (0 - (((x * 2) * 2) * 2)) else 1)),x,1)
A132673: 1 9 8 7 6 5 4 3 2 18 17 16 15 14 13 12
loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) * 2)) - 1),x,1)
A016204: 1 12 115 1050 9481 85392 768655 6918150 62263861 560375772 5043383995 45390460050 408514148641 3676627354152 33089646220135 297806816046750
loop(\(x,i).(((2 + 1) * x) - (x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1))),x,1)
A018259: 1 2 4 11 22 44
A018480: 1 2 4 11 22 44 121 242 484
(if x <= 0 then 2 else ((((if (x - (2 + 2)) <= 0 then 1 else 2) * ((2 + 2) + 1)) + x) - 1))
A134026: 2 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) + 1) * x) + 1))
A016870: 1 60466176 25937424601 1099511627776 16679880978201 141167095653376 819628286980801 3656158440062976 13422659310152401 42420747482776576 119042423827613001 303305489096114176 713342911662882601 1568336880910795776 3255243551009881201
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) + 1) * x) + 1))
A016872: 1 2176782336 3138428376721 281474976710656 7355827511386641 95428956661682176 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) + 1)),x,1)
A036071: 1 25 375 4375 43750 393750 3281250 25781250 193359375 1396484375 9775390625 66650390625 444335937500 2905273437500 18676757812500 118286132812500
loop(\(x,i).(x div 2),(x mod ((2 + 2) + 1)),loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A172411: 1 2 5 10
A263307: 1 2 5 10 21 1365 2730
loop(\(x,i).((((x div 2) + x) + 1) * x),1,loop(\(x,i).(((x * 2) * 2) - 1),x,1))
A208402: 2 15 187 2795 43947 700075 11188907 178973355 2863377067 45813246635 733008800427 11728128223915 187650001250987 3002399818689195 48038396293720747 768614337478306475
((((loop(\(x,i).(if (i - x) <= 0 then x else (x * 2)),x,1) * 2) div (2 + 1)) + x) + 1)
A189128: 1 2 4 6 7 11 12 13 14 20 21 22 23 24 25 26
loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)) * (2 + 1)),x,1)
A119309: 1 12 216 4320 90720 1959552 43110144 960740352 21616657920 489977579520 11171488813056 255928652808192 5886359014588416 135839054182809600 3143703825373593600 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016135: 1 13 147 1625 17891 196833 2165227 23817625 261994131 2881935953 31701296507 348714263625 3835856903971 42194425951873 464138685486987 5105525540389625
loop(\(x,i).(((((x div (if i <= 0 then 1 else i)) * (2 + 2)) + x) * 2) * (2 + 1)),x,1)
A139626: 1 30 540 7560 90720 979776 9797760 92378880 831409920 7205552640 60526642176 495217981440 3961743851520 31084451758080 239794342133760 1822437000216576
loop(\(x,i).(x - (loop(\(x,i).(x * 2),(i - 1),1) - ((x * 2) * (2 + 1)))),x,1)
A083426: 1 6 40 276 1924 13452 94132 658860 4611892 32282988 225980404 1581861804 11073030580 77511209964 542578461556 3798049214508
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A016222: 1 11 87 607 3983 25263 157039 964079 5871855 35580655 214882031 1294884591 7791677167 46839541487 281395162863 1689802632943
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,1) + ((x * 2) * (2 + 1))),x,1)
A016170: 1 14 148 1400 12496 107744 908608 7548800 62070016 506637824 4113568768 33271347200 268347559936 2159841173504 17357093552128 139326933401600
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A139731: 0 3 9 81 81 4617 18225 24057 1056321 4468041 40212369 180512793 1624615137 8091189225 72820703025 420293834937
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074620: 2 14 100 728 5392 40544 308800 2377088 18456832 144295424 1134208000 8952731648 70896259072 562816507904 4476410675200 35654557073408
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) mod loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A138964: 0 2 28 80 208 1664 28864 137600 1660672 3207680 45816832 245602304 1239224320 1206665216 9653321728 390683230208
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074615: 2 11 61 341 1921 10901 62281 358061 2070241 12030821 70231801 411625181 2420922961 14281397141 84467679721 500702562701
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + ((x * 2) * (2 + 1))),x,1)
A033143: 1 7 49 344 2408 16856 117993 825951 5781657 40471600 283301200 1983108400 13881758801 97172311607 680206181249 4761443268744
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016150: 1 11 93 715 5261 37851 269053 1899755 13363821 93808891 657710813 4608169995 32273967181 225984879131 1582162589373 11076211867435
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016138: 1 10 79 580 4141 29230 205339 1439560 10083481 70604050 494287399 3460188940 24221854021 169554572470 1186886790259 8308221880720
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 2) + x) + ((x * 2) * (2 + 1))),x,1)
A037548: 1 9 65 456 3194 22360 156521 1095649 7669545 53686816 375807714 2630654000 18414578001 128902046009 902314322065 6316200254456
(loop(\(x,i).(if (x mod 2) <= 0 then ((x + 1) * (2 + 1)) else (x div 2)),(2 + 1),x) + 1)
A076536: 1 2 16 4 4 5 34 1 7 8 52 10 10 11 70 2
loop(\(x,i).(x * x),1,loop(\(x,i).((((i * 2) - 1) * x) * 2),((2 + 1) * x),1))
A166371: 1 14400 442597478400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((2 + 1) * x) + 1))
A016787: 1 4194304 1977326743 100000000000 1792160394037 17592186044416 116490258898219 584318301411328 2384185791015625 8293509467471872 25408476896404831 70188843638032384 177917621779460413
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),((i - 1) div 2),1) + x) * (2 + 1)),x,1)
A107660: 1 6 21 72 225 702 2133 6480 19521 58806 176661 530712 1592865 4780782 14344533 43040160
loop(\(x,i).(((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x) * (2 + 1)),x,1)
A036220: 1 21 252 2268 17010 112266 673596 3752892 19702683 98513415 472864392 2192371272 9865670724 43257171636 185387878440 778629089448
loop(\(x,i).(((((x * 2) div (if i <= 0 then 1 else i)) * (i + 1)) + x) * (2 + 1)),x,1)
A004992: 1 15 180 1980 20790 212058 2120580 20902860 203802885 1970094555 18912907728 180532301040 1715056859880 16227076443480 152998149324240 1438182603647856
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x div (2 + 1))),x) + 1)
A105266: 1 2 3 7 8 9 19 20 21 25 26 27 55 56 57 61
loop(\(x,i).((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x) * (2 + 1)),x,1)
A036222: 1 27 405 4455 40095 312741 2189187 14073345 84440070 478493730 2583866142 13389124554 66945622770 324428787270 1529449997130 7035469986798
loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 1)),x,1)
A036219: 1 18 189 1512 10206 61236 336798 1732104 8444007 39405366 177324147 773778096 3288556908 13660159464 55616363532 222465454128
loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) * ((i * 2) - 1)),x,1)
A092563: 1 2 18 300 7350 238140 9604980 463783320 26087811750 1675417243500 120965124980700 9699203657543400 855146455806743100 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),x,1))
A093387: 0 0 1 2 6 12 29 58 130 260 562 1124 2380 4760 9949 19898
(compr(\x.(loop(\(x,i).loop(\(x,i).((i + x) * x),2,(x + 2)),2,0) mod (x + 1)),x) + 1)
A291686: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24
((if (x - 2) <= 0 then 0 else compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)) + 1)
A171525: 1 1 1 5 7 11 13 17 19 23 29 31 37 41 43 47
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))
A280076: 1 4 9 25 49 121 169 289 361 529 841 961 1369 1681 1849 2209
loop(\(x,i).((if (x mod (2 - (x mod ((0 - 2) - 2)))) <= 0 then 1 else 2) + (x + 1)),x,1)
A231407: 1 4 6
A330215: 1 4 6 9 12 14 17 20 22 25 27 29 32 34 37 40
loop(\(x,i).(i * x),x,loop(\(x,i).((((i * 2) - 1) * x) * 2),((x + 1) * x),1))
A283627: 1 12 1330560
((if x <= 0 then 2 else ((loop(\(x,i).((x - 2) * x),(2 + 1),x) div (x + 1)) + x)) - 1)
A118710: 1 1 1 2 444
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),x,1)
A083462: 1 3 6 11
A014284: 1 3 6 11 18 29 42 59 78 101 130 161 198 239 282 329
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - (x - 1)),x,1)
A036467: 1 1 2 3 4 7 6 11 8 15 14 17 20 21 22 25
(((x - (loop(\(x,i).(x * 2),x,1) + ((2 + 1) * 2))) mod (if x <= 0 then 1 else x)) + 1)
A275379: 1 1 1 2 3 3 3 7 3 5
loop(\(x,i).((((if (i mod (2 + 1)) <= 0 then ((x * x) * x) else 1) + x) + x) - 1),x,1)
A018373: 1 2 4 71 142 284
((loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1) - x) - 1)
A062989: 0 5 25 80 205 456 917 1708 2994 4995 7997 12364 18551 27118 38745 54248
((loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,1) + x) + 1)
A051745: 2 8 24 60 131 258 469 800 1296 2012 3014 4380 6201 8582 11643 15520
loop(\(x,i).(((if x <= 0 then 0 else ((((x + 1) div 2) div (i + 1)) + i)) + x) + 1),x,1)
A025729-A025714: 1 3 6 10 16 23 31 41 52 64 77 92 108 125 144 164
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + loop(\(x,i).((x * 2) * 2),i,1)),x,1)
A016157: 1 14 156 1624 16496 165984 1663936 16655744 166622976 1666491904 16665967616 166663870464 1666655481856 16666621927424 166666487709696 1666665950838784
loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1))
A151342: 1 1 4 25 196 1764 17424 184041 2044900 23639044
A001246: 1 1 4 25 196 1764 17424 184041 2044900 23639044 282105616 3455793796 43268992144 551900410000 7152629313600 93990019574025
loop(\(x,i).(x * 2),(x - ((x mod 2) * 2)),loop(\(x,i).((x * 2) * (i + 1)),x,1))
A188895: 1 4 96 384 30720
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + loop(\(x,i).((2 + 1) * x),i,1)),x,1)
A016145: 1 13 139 1417 14251 142753 1428259 14284777 142854331 1428562993 14285688979 142857066937 1428571200811 14285713602433 142857140807299 1428571422421897
(loop(\(x,i).(x - (((if (x - (2 + 2)) <= 0 then 1 else x) div (2 + 1)) - 1)),2,x) - 1)
A131754: 1 2 3 4 4 4 4 4 5 5 6 6 6 7 8 8
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * 2),x,1))
A054881: 1 0 4 8 48 160 704 2688 11008 43520 175104 698368 2797568 11182080 44744704 178946048
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + (((x div 2) + 1) div 2)),x,1)
A134157: 1 1 1 2 3 4 6 8 10 14 18 23 30 38 48 61
loop(\(x,i).((((x * x) * (2 + 1)) - x) div 2),1,loop(\(x,i).((x + 1) * 2),x,1))
A169722: 1 22 145 715 3151 13207 54055 218695 879751 3528967 14135815 56583175 226412551 905809927 3623559175 14494875655
(x - (loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),((x + 1) div 2),x) - 1))
A134679: 1 1 1 1 1 1 2 3 4 5 6 7 7 8 8 9
((loop(\(x,i).((loop(\(x,i).(i * x),x,2) div (x + 1)) + x),(x - 1),2) + x) + 1)
A092839: 3 4 6 10 216
(loop(\(x,i).(x * 2),x,1) div ((loop(\(x,i).((x * 2) * (x + 1)),2,2) * x) + 1))
A245675: 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7
loop(\(x,i).(x * x),1,loop(\(x,i).(x - (x div (((x div (2 + 2)) - 2) - 2))),x,1))
A018228: 1 4 9 16 36 64 144 576
((if ((x div 2) - 2) <= 0 then 1 else 2) div (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else 1))
A044947: 1 1 1 1 1 1 2 0 2 2 2 2 2 2 2 0
loop(\(x,i).(((((x * 2) div (if i <= 0 then 1 else i)) * 2) + x) * ((2 + 2) * 2)),x,1)
A172510: 1 40 960 17920 286720 4128768 55050240 692060160 8304721920 95965675520 1074815565824 11725260718080 125069447659520 1308418837053440 13458022323978240 136374626216312832
loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) * 2)),x,1)
A140802: 1 32 640 10240 143360 1835008 22020096 251658240 2768240640 29527900160 307090161664 3126736191488 31267361914880 307863255777280 2990671627550720 28710447624486912
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),x,1)
A016214: 1 12 109 912 7417 59700 478693 3832824 30672433 245408988 1963360477 15707149536 125657993449 1005266339076 8042137887061 64337124619848
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),x,1)
A016162: 1 13 129 1157 9881 82173 673009 5462197 44088201 354658733 2847035489 22825112037 182845036921 1463980998493 11717951503569 93774129606677
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A016185: 0 1 17 217 2465 26281 269297 2685817 26269505 253202761 2413042577 22791125017 213710059745 1992110014441 18478745943857 170706760005817
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A139733: 0 1 17 217 2465 26281 7153 588665 9492289 118985033 265558929 5611255833 7551629537 342842572777 886559899441 29969271650489
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074617: 2 13 89 637 4721 35893 277769 2175277 17167841 136170853 1083507449 8638762717 68963617361 550976517013 4404150026729 35214889666957
loop(\(x,i).((2 + 1) * x),((x * x) * 2),loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A135427: 1 72 419904 198359290368 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 0) + x) + (((x * 2) * 2) * 2)),x,1)
A033145: 1 9 81 730 6570 59130 532171 4789539 43105851 387952660 3491573940 31424165460 282817489141 2545357402269 22908216620421 206173949583790
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) - (((x * 2) * 2) * 2)),x,1)
A201865: 1 ~4 37 ~232 1705 ~11692 82573 ~575824 4037329 ~28241620 197750389 ~1384075576 9689060473 ~67821828988 474757585885 ~3323288752288
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 2) + x) + (((x * 2) * 2) * 2)),x,1)
A037550: 1 11 101 910 8192 73730 663571 5972141 53749271 483743440 4353690962 39183218660 352648967941 3173840711471 28564566403241 257081097629170
loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + ((x * 2) * 2)) * 2),x,1)
A004986: 1 14 154 1540 14630 134596 1211364 10729224 93880710 813632820 6997242252 59794615608 508254232668 4300612737960 36248021648520 304483381847568
loop(\(x,i).(((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1)
A054337: 1 28 448 5376 53760 473088 3784704 28114944 196804608 1312030720 8396996608 51908706304 311452237824 1820797698048 10404558274560 58265526337536
loop(\(x,i).((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1)
A054339: 1 36 720 10560 126720 1317888 12300288 105431040 843448320 6372720640 45883588608 317013884928 2113425899520 13655982735360 85837605765120 526470648692736
loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1)
A045543: 1 24 336 3584 32256 258048 1892352 12976128 84344832 524812288 3148873728 18320719872 103817412608 574988746752 3121367482368 16647293239296
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + ((i * x) * (2 + 2))),x,1)
A090470: 1 5 43 531 8601 172965 4161555 116658675 3735104625 134498225925 5380583766075 236759435017875 11364769115001225 590975899833644325 4611686018427387903 4611686018427387903
((x mod 2) - loop(\(x,i).((x - (((if (i mod 2) <= 0 then 2 else 0) + x) * 2)) * 2),x,1))
A145593: ~1 3 4 ~7 24 ~47 104 ~207 424 ~847 1704 ~3407 6824 ~13647 27304 ~54607
loop(\(x,i).((loop(\(x,i).((((i mod 2) + x) * 2) - 1),i,0) + (x * 2)) * 2),x,1)
A255467: 1 6 26 110 450 1822 7330 29406 117794 471518 1886754 7548382 30196258 120790494 483172898 1932713438
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),((i * 2) - 2),1) + (x * 2)) * 2),x,1)
A165314: 1 6 42 330 2778 24234 215034 1923018 17258010 155125482 1395342906 12554940426 112981880922 1016786596650 9150878043258 82357097082954
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) + 1)
A156287: 2 3 4 6 7 9 12 13 16 18 19 21 22 27 28 33
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),x,1)
A016218: 1 10 71 440 2541 14070 75811 400900 2091881 10808930 55442751 282806160 1436400421 7271480590 36715316891 185008240220
loop(\(x,i).(loop(\(x,i).(0 - (((x div 2) + x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A290124: 1 2 14 38 206 662 3134 11078 48686 181622 765854 2945318 12135566 47479382 193106174 762858758
loop(\(x,i).(loop(\(x,i).(1 - (((i mod 2) + x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A249993: 1 1 11 29 147 525 2227 8653 35123 139469 559923 2235597 8950579 35785933 143176499 572640461
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((x * 2) * 2),x,1))
A248338: 0 6 84 936 9744 98976 995904 9983616 99934464 999737856 9998951424 99995805696 999983222784 9999932891136 99999731564544 999998926258176
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).((x * 2) * 2),x,1))
A139735: 0 2 4 40 16 672 576 5760 57600 182784 779264 3598336 10817536 41066496 8011776 616988672
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1))
A074613: 2 11 65 407 2657 17831 121745 839927 5830337 40615751 283523825 1981521047 13858064417 96956119271 678491508305 4748635251767
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1))
A190542: 0 3 33 279 2145 15783 113553 807159 5699265 40091463 281426673 1973132439 13824509985 96821901543 677954637393 4746487768119
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod loop(\(x,i).((x * 2) * 2),x,1))
A138654: 0 3 1 23 97 423 2961 4343 63169 245575 408305 1809559 84001 50919655 155110993 548906039
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) + loop(\(x,i).((x * 2) * 2),x,1))
A235115: 5 24 116 564 2756 13524 66596 328884 1628036 8074644 40111076 199506804 993339716 4949921364 24682497956 123144054324
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),(i - 1),1) - x) - ((x * 2) * 2)),x,1)
A166036: 1 ~4 24 ~104 584 ~2664 14344 ~67624 354504 ~1706984 8797064 ~42936744 218878024 ~1077612904 5455173384 ~27007431464
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),x,1)
A016163: 1 14 151 1484 13981 128954 1176211 10664024 96366841 869254694 7833057871 70546348964 635161281301 5717672234834 51465153629131 463216900240304
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) - x) - ((x * 2) * 2)),x,1)
A118005: 1 4 61 424 4441 36844 347221 3046864 27812401 248358484 2244991981 20156099704 181649037961 1633620638524 14708689262341 132347685782944
loop(\(x,i).((loop(\(x,i).((x - 1) * (2 + 1)),i,1) + x) + ((x * 2) * 2)),x,1)
A087439: 1 5 22 98 451 2135 10312 50468 249061 1235465 6147802 30650438 152986471 764135195 3818284492 19084248008
loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),x,1)
A016209: 1 9 58 330 1771 9219 47188 239220 1205941 6059229 30384718 152189310 761743711 3811110039 19062724648 95335146600
loop(\(x,i).(x * 2),(((x * 2) - 1) * x),loop(\(x,i).((2 - (i mod 2)) * 2),x,1))
A122249: 1 4 256 65536 1073741824 70368744177664 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) - (x div (if i <= 0 then 1 else (i * i)))) * 2) * 2),x,1)
A000515: 1 12 180 2800 44100 698544 11099088 176679360 2815827300 44914183600 716830370256 11445589052352 182811491808400 2920656969720000 46670906271240000 745904795339462400
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A037156: 1 55 5050 500500 50005000 5000050000 500000500000 50000005000000 5000000050000000 500000000500000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - 1) * x) div 2),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A037182: 0 45 4950 499500 49995000 4999950000 499999500000 49999995000000 4999999950000000 499999999500000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).((((i mod 2) + 1) * x) * 2),x,1))
A091143: 1 4 24 96 448 1792 7680 30720 126976 507904 2064384 8257536 33292288 133169152 534773760 2139095040
(loop(\(x,i).(0 - (((2 + 2) + 1) * x)),x,1) * loop(\(x,i).((1 - x) * 2),x,1))
A091883: 1 0 50 250 3750 31250 343750 3281250 33593750 332031250 3339843750 33300781250 333496093750 3332519531250 33337402343750 333312988281250
loop(\(x,i).((i + x) + 1),compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x),1)
A006308: 3 10 21 55 78 136 171 253 406 465 666 820 903 1081 1378 1711
loop(\(x,i).((i * 2) + x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1)
A160772: 13 31 91 133 241 307 463 757 871 1261 1561 1723 2071 2653 3307 3541
loop(\(x,i).((i + x) + 1),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1)
A188545: 1 3 10
A008837: 1 3 10 21 55 78 136 171 253 406 465 666 820 903 1081 1378
loop(\(x,i).((x * 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1)
A139292: 1 4 64 1024 262144 4194304 1073741824 17179869184 4398046511104 18014398509481984 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A005722: 1 4 16 36 100 144 256 324 484 784 900 1296 1600 1764 2116 2704
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) + 2)) * (((x + 2) * x) + 1))
A192831: 4 48 360 2304 13600 76032 407680 2113536 10658304 52531200 254003200 1208549376 5672083456 26309885952 120803328000 549772591104
(loop(\(x,i).(i * x),(x - 1),(x + 1)) * (if x <= 0 then 2 else (((x + 2) * x) + 1)))
A276940: 2 8 27 128 750 5184 41160 368640 3674160 40320000 482993280 6270566400 87697209600 1314380390400 21016195200000 357082280755200
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 2)),x,1)
A110895: 1 4 8 14 22 34 48 66 86 110 140 172 210 252 296 344
(1 - loop(\(x,i).loop(\(x,i).((((2 + 2) + 1) * x) * 2),(i mod 2),(x - 2)),x,1))
A094621: 0 11 13 141 143 1441 1443 14441 14443 144441 144443 1444441 1444443 14444441 14444443 144444441
loop(\(x,i).(loop(\(x,i).(x - (((i mod 2) - (x * 2)) - 1)),i,1) + (x * 2)),x,1)
A243869: 1 5 20 70 231 735 2290 7040 21461 65065 196560 592410 1782691 5358995 16098830 48340180
loop(\(x,i).loop(\(x,i).(((x + 1) * x) + 1),(1 - (x mod (2 + 2))),(x * 2)),x,1)
A018378: 1 2 4 73 146 292
((if (x mod 2) <= 0 then (2 + 1) else (0 - 2)) + loop(\(x,i).((i mod 2) + (x * 2)),x,1))
A344109: 4 1 9 11 29 51 109 211 429 851 1709 3411 6829 13651 27309 54611
((loop(\(x,i).(((2 - x) * 2) * (2 + 1)),x,1) + 1) mod loop(\(x,i).(x * 2),x,1))
A325893: 0 1 1 5 5 21 21 21 149 149 149 1173 1173 1173 9365 9365
loop(\(x,i).((((x - 1) * x) div 2) + ((x * 2) * 2)),1,loop(\(x,i).(x * 2),x,1))
A257272: 4 9 22 60 184 624 2272 8640 33664 132864 527872 2104320 8402944 33583104 134275072 536985600
(loop(\(x,i).((2 + 1) * x),((x + 1) * 2),(2 + 1)) + loop(\(x,i).(x * 2),x,1))
A188526: 28 245 2191 19691 177163 1594355 14348971 129140291 1162261723 10460353715 94143179851 847288611491 7625597489083 68630377373075 617673396300331 5559060566588291
(loop(\(x,i).(x - (((i mod 2) - x) * 2)),x,(2 + 1)) - loop(\(x,i).(x * 2),x,1))
A133510: 2 5 17 53 167 515 1577 4793 14507 43775 131837 396533 1191647 3579035 10745297 32252273
(loop(\(x,i).((2 + 1) * x),(((x mod 2) * x) div 2),1) + loop(\(x,i).(x * 2),x,1))
A014556: 2 3 5 11 17 41
A085613: 2 3 5 11 17 41 65 155 257 593 1025 2291 4097 8921 16385 34955
(loop(\(x,i).((((x - i) div (2 + 1)) + x) * 2),x,1) div loop(\(x,i).(x * 2),x,1))
A336351: 1 1 1 1 1 1 1 2 3 4 5 7 9 12 16 22
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(x * 2),x,1))
A139740: 0 9 117 1323 14625 161019 1771497 19487043 214358625 2357947179 25937423577 285311668563 3138428372625 34522712135739 379749833566857 4177248169382883
((loop(\(x,i).((2 + 1) * x),x,1) + ((x + 2) + 2)) - loop(\(x,i).(x * 2),x,1))
A290651: 4 6 11 26 73 220 675 2070 6317 19184 58039 175114 527361 1586148 4766603 14316158
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - loop(\(x,i).(x * 2),x,1))
A085781: 1 4 16 62 236 892 3368 12742 48364 184244 704408 2702108 10396504 40108408 155101136 601047622
loop(\(x,i).((loop(\(x,i).(1 - (((i mod 2) + x) * 2)),i,1) + x) + (x * 2)),x,1)
A249992: 1 0 7 6 49 84 379 882 3157 8448 27391 78078 242425 710892 2165443 6430794
loop(\(x,i).((((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * 2),x,1)
A140354: 1 20 220 1760 11440 64064 320320 1464320 6223360 24893440 94595072 343982080 1203937280 4074864640 13388840960 42844291072
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x) * 2),x,1)
A172242: 1 22 264 2288 16016 96096 512512 2489344 11202048 47297536 189190144 722362368 2648662016 9372188672 32133218304 107110727680
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2),x,1)
A054851: 1 16 144 960 5280 25344 109824 439296 1647360 5857280 19914752 65175552 206389248 635043840 1905131520 5588385792
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),x,1)
A237589-A138981: 1 4 9 16 27 40 57 76 99 128 159 196 237 280 327 380
loop(\(x,i).(loop(\(x,i).((((i * 2) - 1) * x) * 2),i,1) + ((i * x) * 2)),x,1)
A076729: 1 4 28 288 3984 70080 1506240 38384640 1133072640 38038533120 1431213235200 59645279232000 2726781752217600 135661078090137600 4611686018427387903 4611686018427387903
((0 - loop(\(x,i).((x - 1) * x),2,loop(\(x,i).((x * 2) + 1),x,0))) mod (x + 1))
A066503: 0 0 0 2 0 0 0 6 6 0 0 6 0 0 0 14
(loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + ((i * x) * 2)),x,0) * (x + 1))
A242091: 0 2 15 128 1310 15864 222936 3572736 64354608 1287495360 28328889600 679936896000 17678878214400 495015296025600 14850552286080000 475219068007219200
(loop(\(x,i).((i - (if (x - 1) <= 0 then 0 else ((i + 1) * 2))) + x),x,0) + (x + 1))
A046901: 1 3 6 2 7 1 8 16 7 17 6 18 5 19 4 20
(loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).(((x + 2) + 2) * i),x,0))) mod (x + 1))
A115869-A115859: 0 0 0 0 0 0 3 0 0 0 7 0 5 6 0 0
(((loop(\(x,i).((i + x) * (x + 1)),2,x) + (if x <= 0 then 1 else 0)) + 1) div (x + 1))
A197602: 8 15 37 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144
(((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) * (x + 1))
A285109: 1 4 9 8 25 12 49 16 27 20 121 24 169 28 45 32
(((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod (x + 1))
A271419: 0 0 0 2 0 2 0 2 3 2 0 2 0 2 3 2
(loop(\(x,i).(i * x),(x - (loop(\(x,i).(i * x),x,1) mod (x + 1))),1) div (x + 1))
A055637: 1 0 0 0 0 20 0 630 4480 36288 0 3326400 0 444787200 5811886080 81729648000
(loop(\(x,i).(loop(\(x,i).((i * i) + x),(i - 1),i) + x),(x - 1),1) * (x + 1))
A302612: 1 2 6 20 65 186 462 1016 2025 3730 6446 10572 16601 25130 36870 52656
(loop(\(x,i).loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1),2,1) div (x + 1))
A057073: 285311670611 142655835305 95103890203 71327917652 57062334122 47551945101 40758810087 35663958826 31701296734 28531167061 25937424601 23775972550 21947051585 20379405043 19020778040
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) - 1)),(x + 1))
A045752: 4 7 9 10 13 14 16 19 22 23 24 25 28 29 30 31
((0 - (if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1)) mod (x + 1))
A318827: 0 1 1 3 1 5 1 7 7 9 1 11 1 13 13 15
compr(\x.loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1)),(x + 1))
A334919: 5 8 9 13 16 17 18 21 23 25 28 29 30 33 37 38
(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,x) + 1),x,1) * (x + 1))
A064100: 1 202 30303 4040404 505050505 60606060606 7070707070707 808080808080808 90909090909090909 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (0 - loop(\(x,i).((x - ((i * x) * 2)) * 2),x,1))) div (x + 1))
A292220: 1 1 ~4 30 ~336 5040 ~95040 2162160 ~57657600 1764322560 ~60949324800 2346549004800 ~99638080819200 4626053752320000 ~233153109116928000 4611686018427387903
loop(\(x,i).(x * 2),(2 - (loop(\(x,i).((i + x) + x),x,0) mod (x + 1))),(x + 1))
A066560: 4 4 6 4 10 6 14 8 9 10 22 12 26 14 15 16
(loop(\(x,i).(x * 2),x,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div (x + 1))
A084623: 1 1 4 2 16 16 64 16 256 256 1024 512 4096 4096 16384 2048
(loop(\(x,i).((x - 2) * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1) mod (x + 1))
A318305: 0 1 1 1 1 4 1 1 1 6 1 4 1 8 7 1
(loop(\(x,i).(loop(\(x,i).(0 - x),i,(2 + 1)) + ((i + 2) * x)),x,1) div (x + 1))
A316666: 1 0 1 3 15 87 597 4701 41787 413691 4512993 53779833 695000919 9680369943 144560191149 2303928046437
(loop(\(x,i).(loop(\(x,i).(((i * x) * 2) + 1),i,1) + (i + x)),x,1) mod (x + 1))
A235138: 0 1 2 2 4 1 6 4 6 3 10 2 12 5 7 8
compr(\x.((loop(\(x,i).(x div 2),x,loop(\(x,i).((2 + 1) * x),x,1)) + 1) mod 2),(x + 1))
A073632: 1 3 4 5 6 7 8 10 12 14 15 17 18 20 21 22
((if (x - 1) <= 0 then x else (if ((x - 2) mod ((x mod 2) + 2)) <= 0 then 1 else 2)) * (x + 1))
A242480: 0 2 3 8 5 6 7 16 9 20 11 12 13 28 15 32
loop(\(x,i).(((loop(\(x,i).(x * x),2,(x * 2)) * x) * 2) * (2 + 1)),2,(x + 1))
A066543: 782757789696 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (if (x mod ((2 + 2) * 2)) <= 0 then 0 else (x div (2 + 1)))),2,(x + 1))
A334144: 1 1 1 1 1 2 2 1 2 2 2 2 2 2 3 1
((loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x + 2)) * 2) - (x + 1))
A087030: 3 4 7 6 9 8 15 14 13 12 15 14 21 20 19 18
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * 2) * 2)),(x + 1))
A095277: 3 6 8 9 12 13 15 18 21 22 23 24 27 28 29 30
((loop(\(x,i).(1 - x),x,(loop(\(x,i).(1 - (i * x)),x,1) + x)) div 2) * (x + 1))
A145222: 0 0 3 0 30 120 945 7392 66780 667440 7342335 88107360 1145396538 16035550440 240533257965 3848532125760
((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) - loop(\(x,i).(x * 2),x,2)) div (x + 1))
A191694: 1 2 6 16 42 110 294 788 2130 5802 15918 43945 122010 340470 954409 2686324
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then (2 + 2) else 0) + 1)),x,(x * 2)),(x + 1))
A037453: 1 2 5 6 7 10 11 12 25 26 27 30 31 32 35 36
compr(\x.(loop(\(x,i).(x div (if (x mod ((x mod 2) + 2)) <= 0 then 2 else 1)),x,x) div 2),(x + 1))
A115422: 1 2 3 4 6 8 9 12 16 18 24 32 33 36 48 64
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * x) * 2)),(x + 1))
A176189: 1 2 3 6 9 11 16 18 19 27 29 33 48 54 55 57
loop(\(x,i).(((if (2 - i) <= 0 then x else 1) + x) + ((x * 2) * (2 + 1))),x,(x + 1))
A081043: 1 15 176 1856 18432 176128 1638400 14942208 134217728 1191182336 10468982784 91268055040 790273982464 6803228196864 58274116272128 496979255754752
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),(x - 1),x) * (x + 1))
A119582: 0 2 36 360 2800 18900 116424 672672 3706560 19691100 101615800 512143632 2531090016 12303909800 58971402000 279211536000
(loop(\(x,i).(x * 2),x,1) div ((if (x - 1) <= 0 then 2 else ((x - 1) * x)) * (x + 1)))
A326595: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 6 9
((loop(\(x,i).((x * 2) - (x mod (0 - (if i <= 0 then 1 else i)))),x,1) + x) div (x + 1))
A128021: 1 1 2 3 5 8 14 25 44 79 144 264 487 905 1689 3167
loop(\(x,i).(((if (2 - i) <= 0 then x else 1) + x) + (((x * 2) * 2) * 2)),x,(x + 1))
A081045: 1 19 280 3700 46000 550000 6400000 73000000 820000000 9100000000 100000000000 1090000000000 11800000000000 127000000000000 1360000000000000 14500000000000000
(loop(\(x,i).(1 - ((if (x mod ((i * 2) + 1)) <= 0 then x else 0) + x)),2,x) div (x + 1))
A291437: 0 0 0 2 0 0 1 0 0 1 0 1 1 0 0 1
(loop(\(x,i).(x * x),x,(x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A307031: 1 4 27 65536 30517578125 4611686018427387903 4611686018427387903
loop(\(x,i).(((loop(\(x,i).((x + 1) * x),2,2) * x) div (i + 1)) + x),x,(x + 1))
A010996: 1 44 990 15180 178365 1712304 13983816 99884400 636763050 3679075400 19499099620 95722852680 438729741450 1889912732400 7694644696200 29752626158640
loop(\(x,i).(((loop(\(x,i).((x + 1) * x),2,2) * x) div (i + 1)) - x),x,(x + 1))
A010956: 1 40 780 9880 91390 658008 3838380 18643560 76904685 273438880 847660528 2311801440 5586853480 12033222880 23206929840 40225345056
loop(\(x,i).(((loop(\(x,i).((x + 2) * x),2,2) * x) div (i + 1)) - x),x,(x + 1))
A017794: 1 78 3003 76076 1426425 21111090 256851595 2641902120 23446881315 182364632450 1258315963905 7778680504140 43430966148115 220495674290430 1023729916348425 4367914309753280
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(x * x)) * (x + 1))
A119580: 0 4 72 720 5600 37800 232848 1345344 7413120 39382200 203231600 1024287264 5062180032 24607819600 117942804000 558423072000
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (x + 1))
A097911: 1 3 5 8
A175540: 1 3 5 8 10 13 15 18 22 24 28 31 33 36 40 44
((loop(\(x,i).((x * 2) * (i + 1)),x,1) - loop(\(x,i).(i * x),x,x)) * (x + 1))
A086984: 1 6 60 696 9120 134640 2227680 41005440 833172480 18546796800 449223667200 11766674304000 331501679308800 9997170543360000 321355745238528000 4611686018427387903
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,(x + 1))
A056114: 1 20 165 880 3575 12012 35035 91520 218790 486200 1016158 2015520 3821090 6963880 12257850 20920064
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 1))
A056001: 1 16 108 480 1650 4752 12012 27456 57915 114400 213928 381888 655044 1085280 1744200 2728704
(loop(\(x,i).((((i * 2) + 1) * x) * 2),x,1) + loop(\(x,i).(i * x),x,(x + 1)))
A226730: 2 8 66 864 15240 333360 8653680 259499520 8821975680 335224915200 14079333945600 647648004326400 32382382493260800 1748648405555251200 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),(2 + 1),x) - ((x - 1) * x)),1,(x - 1))
A064321: 0 0 0 0 864 17280 144000 756000 2963520 9483264 26127360 64152000 143748000 298995840 584648064 1085142240
(((loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(x - 1),1) * x) div 2) * (x - 1))
A061834: 0 0 2 12 60 340 2310 18354 165592 1664424 18410130 222085270 2901011124 40790592492 614247917374 9862468172970
loop(\(x,i).((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) + x),2,(x - 1))
A036965: 1 2 3 4 5 6 7 8 9 10 12 15 16 18 20 21
loop(\(x,i).((if ((((i * x) * 2) div (i + 1)) div (i + 1)) <= 0 then i else 0) + x),x,1)
A088650: 1 2 4 4 4 4 10 10 10 10 10 10 10 10 10 10
((((x + 1) * x) + 1) mod (loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1))
A174624-A174433: 0 0 1 0 1 1 0 1 1 3 0 1 1 3 1 0
loop(\(x,i).((loop(\(x,i).((x * 2) * (x + 1)),i,((2 + 2) + 1)) + 1) * x),x,1)
A068533: 1 61 446581 47864301941221 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(2 + 1),1) * x),x,1)
A291945: 1 1111 1234321 1371330631 1523548331041 1692662195786551 1880547699518858161 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x * 2) * (x + 1)),(i + 1),(2 + 1)) + 1) * x),x,1)
A068534: 1 1201 3461763601 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A318165: 1 3 13
A094978: 1 3 13 49 180 662 2430 8910 32671 119796 439252 1610592 5905506 21653524 79396256 291119607
loop(\(x,i).(x div (2 + 2)),x,loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A094982: 1 2 7 20 57 157 432 1189 3270 8994 24735 68023 187064 514428 1414678 3890365
loop(\(x,i).(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),(i - 1),1) - x),x,1)
A000757: 1 0 0 1 1 8 36 229 1625 13208 120288 1214673 13469897 162744944 2128047988 29943053061
loop(\(x,i).(((x * x) div 2) * x),1,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A130215: 0 168 58800 20176632 6920642400 2373780746568 814206798896400 279272932041230232 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div ((2 + 2) + 1)),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A094984: 1 1 1 2 3 5 7 10 14 20 28 40 56 79 111 155
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(2 + 2),1) * x),x,1)
A291946: 1 11111 123454321 1371700960631 15240969373571041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),i,1) - (((2 + 2) + 1) * x)),x,1)
A053430: 1 1 31 61 991 2821 32551 117181 1093711 4609141 37420471 175694701 1298308831 6569149861 45518414791 242592910621
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A191466: 0 4 56 604 5936 55924 515816 4704844 42656096 385467364 3477018776 31332231484 282185395856 2540645125204 22870688939336 205860614516524
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A139730: 0 4 6 104 311 2799 191 17344 77971 701739 456276 33403359 202973981 361922079 815892461 19550063399
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A016160: 0 1 11 91 671 4651 31031 201811 1288991 8124571 50700551
A005062: 0 1 11 91 671 4651 31031 201811 1288991 8124571 50700551 313968931 1932641711 11839990891 72260648471 439667406451
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A138649: 0 1 11 91 46 1526 15406 45561 117116 312071 1872426 21000181 223657336 853662766 5121976596 12421312701
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A191468: 0 3 39 387 3471 29643 246519 2019027 16386591 132264603 1063976199 8541106467 68475336111 548535110763 4391942995479 35153854510707
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) mod loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A138959: 0 3 14 12 346 1518 12144 65902 370966 1405228 9288699 45012717 115961111 439407638 3515261104 28122088832
loop(\(x,i).(x * 2),(x - ((x mod 2) * 2)),loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A156276: 1 5 100 250 10000 25000 1000000 2500000 100000000 250000000 10000000000 25000000000 1000000000000 2500000000000 100000000000000 250000000000000
(loop(\(x,i).((x * 2) * (2 + 1)),x,2) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A085352: 1 7 47 307 1967 12427 77687 481747 2968607 18202267 111166727 676765987 4109424047 24900684907 150624812567 909852391027
(((loop(\(x,i).(x * 2),x,1) + 2) * (2 + 1)) + loop(\(x,i).((2 + 1) * x),x,1))
A254362: 10 15 27 57 135 345 927 2577 7335 21225 62127 183297 543735 1618905 4832127 14447217
(loop(\(x,i).((0 - x) * (2 + 1)),(x div 2),1) + loop(\(x,i).((2 + 1) * x),x,1))
A318609: 2 4 6 24 90 252 702 2160 6642 19764 58806 176904 532170 1595052 4780782 14346720
(loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,1) + loop(\(x,i).((2 + 1) * x),x,1))
A032124: 2 5 12 33 90 261 756 2241 6642 19845 59292 177633 532170 1595781 4785156 14353281
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).((2 + 1) * x),x,1))
A245806: 2 13 109 1027 10081 100243 1000729 10002187 100006561 1000019683 10000059049 100000177147 1000000531441 10000001594323 100000004782969 1000000014348907
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A248226: 0 7 91 973 9919 99757 999271 9997813 99993439 999980317 9999940951 99999822853 999999468559 9999998405677 99999995217031 999999985651093
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A139734: 0 1 1 1 37 127 541 1036 3799 5185 51850 164206 224884 1185958 3887965 5398867
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1))
A074608: 2 10 58 370 2482 17050 118378 825730 5771362 40373290 282534298 1977503890 13841818642 96890604730 678227855818 4747575858850
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A190541: 0 4 40 316 2320 16564 116920 821356 5758240 40333924 282416200 1977149596 13840755760 96887416084 678218289880 4747547161036
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod loop(\(x,i).((2 + 1) * x),x,1))
A138617: 0 1 4 19 52 40 280 1231 4243 3457 43882 11929 437797 407374 2851618 10395388
(loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1) + loop(\(x,i).((2 + 1) * x),x,1))
A120802: 2 8 634 1953152 152587890706 298023223876953368 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1) - loop(\(x,i).((2 + 1) * x),x,1))
A120830: 0 2 616 1953098 152587890544 298023223876952882 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) - loop(\(x,i).((2 + 1) * x),x,1))
A081657: 1 11 89 659 4721 33371 234569 1644899 11523041 80687531 564891449 3954476339 27682042961 193776426491 1356441362729 9495108670979
loop(\(x,i).(((loop(\(x,i).((x * 2) * 2),i,1) + x) div ((x * 2) + 1)) + x),x,1)
A292528: 1 2 5 11 22
A084188: 1 2 5 11 22 45 90 181 362 724 1448 2896 5792 11585 23170 46340
loop(\(x,i).(loop(\(x,i).(((x * x) * x) * (x * x)),1,((i * 2) + 1)) + x),x,1)
A002594: 1 244 3369 20176 79225 240276 611569 1370944 2790801 5266900 9351001 15787344 25552969 39901876 60413025 89042176
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + (((i * 2) + 1) * x)),x,1)
A004041: 1 4 23 176 1689 19524 264207 4098240 71697105 1396704420 29985521895 703416314160 17901641997225 491250187505700 14459713484342175 454441401368236800
loop(\(x,i).((loop(\(x,i).((i * x) * 2),i,1) + x) + (((i * 2) + 1) * x)),x,1)
A203159: 1 6 44 400 4384 56448 836352 14026752 262803456 5441863680 123436892160 3044235018240 81112101027840 2322150583173120 71092846618214400 2317820965473484800
loop(\(x,i).(((i * 2) - 1) * x),(x * 2),loop(\(x,i).(((i * 2) - 1) * x),x,1))
A139541: 1 3 315 155925 212837625 618718975875 3287253918823875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) - 1)),i,1) * x),x,1)
A015026: 1 ~10 ~1110 1354200 18174718200 ~2683133647866000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * x) * (x * 2)) * ((2 + 2) + 1)),i,1) + x),x,1)
A050647: 1 11 10011 10000000010011 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((i + 2) * x) - (((x mod 2) * 2) - 1)),i,1) + x),x,1)
A001277: 1 3 12 56 321 2175 17008 150504 1485465 16170035 192384876 2483177808 34554278857 515620794591 8212685046336
loop(\(x,i).(loop(\(x,i).(((i + 2) * x) - (((x mod 2) * 2) - 1)),i,1) * x),x,1)
A131631: 1 2 18 792 209880 389117520 5771780174160 770509566129663360 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((1 - x) - (((x * 2) * 2) * (2 + 1))),i,1) * x),x,1)
A015028: 1 ~12 ~1884 3843360 101929750560 ~35142523960072320 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) * x),x,1)
A015011: 1 12 1596 2336544 37630041120 6666387564654720 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),i,1) + x),x,1)
A079309: 1 4 14 49 175 637 2353 8788 33098 125476 478192 1830270 7030570 27088870 104647630 405187825
loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),i,1) - x),x,1)
A054109: 1 2 8 27 99 363 1353 5082 19228 73150 279566 1072512 4127788 15930512 61628248 238911947
loop(\(x,i).(loop(\(x,i).(((((i div 2) + 2) * (i div 2)) + x) + 1),i,1) + x),x,1)
A005994: 1 3 9 19 38 66 110 170 255 365 511 693 924 1204 1548 1956
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1)
A002110: 1 2 6 30 210 2310 30030 510510 9699690 223092870 6469693230 200560490130 7420738134810 304250263527210 13082761331670030 614889782588491410
loop(\(x,i).(loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * (i + 1)),i,1) + x),x,1)
A177265: 1 1 4 12 57 321 2176 17008 150505 1485465 16170036 192384876 2483177809 34554278857 515620794592 8212685046336
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1) - x),x,1)
A033297: 1 1 4 10 32 100 329 1101 3761 13035 45751 162261 580639 2093801 7601044 27756626
(1 - (((x * 2) + 1) mod (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1)))
A138530: 1 2 1 3 2 1 4 1 2 1 5 2 3 2 1 6
loop(\(x,i).loop(\(x,i).((((i * i) * i) * ((i * i) * i)) + x),(i + 1),x),x,1)
A101093: 1 66 860 5750 26265 93436 278256 725220 1703625 3682030 7431996 14167946 25730705 44823000 75305920 122566056
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),i,(i + 1)) + x),x,1)
A014937: 1 41 1241 33241 833241 20033241 468033241 10708033241 241108033241 5361108033241 118001108033241 2575601108033241 55823601108033241 1202703601108033241 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),i,(i + 1)) + x),x,1)
A014930: 1 31 706 14206 267331 4823581 84557956 1451432956 24517448581 408951042331 6752105339206 110549175651706 1797251568229831 29043982525261081 466937872906120456 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),i,(i + 1)) + x),x,1)
A014935: 1 37 1009 24337 549217 11886625 249972193 5147732449 104327377633 2087920281313 41363059774177 812583980724961 15851391939265249 307372900058661601 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),i,(i + 1)) + x),x,1)
A014942: 1 49 1777 57073 1715953 49491697 1387212529 38078983921 1028756811505 27446832213745 724884022832881 18985057740861169 493749574409596657 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),i,(i + 1)) + x),x,1)
A014929: 1 29 617 11593 203673 3430617 56137369 899445401 14181546905 220792014745 3402593219481 51997375255449 789018236134297 11901025061692313 178581127445062553 2667670656370058137
loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),i,(i + 1)) + x),x,1)
A014928: 1 27 534 9322 152127 2379885 36167548 538155684 7879732173 113924725903 1630368136242 23136292864686 326011399456939 4566262891748481 63626908677237816 882601196902689928
loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,(i + 1)) + x),x,1)
A014926: 1 23 386 5710 78915 1045221 13446148 169343516 2098573445 25678050355 310989720966 3734729768298 44534298665671 527852268680705 6224099772429320 73060070483079736
loop(\(x,i).(loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),i,(i + 1)) + x),x,1)
A014934: 1 35 902 20554 438159 8957301 177920284 3460629668 66242446637 1252121211607 23428054116546 434690809808142 8008779893795035 146672872354478153 2672340270745492088 4611686018427387903
loop(\(x,i).((if (x - ((x * x) mod (((x + 2) + 2) + 2))) <= 0 then 1 else 2) + x),x,1)
A244016: 1 2 3 5 7 8 9 11 13 14 15 16 18 20 22 24
(loop(\(x,i).(x div (2 - ((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2))),x,x) + 1)
A039635: 1 2 3 2 5 3 7 2 5 5 11 3 13 7 2 2
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,((((2 + 1) * i) + 1) * 2)) * x),x,1)
A091546: 1 56 10192 3872960 2517424000 2497284608000 3511182158848000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,(((i + 2) * (i + 1)) div 2)) + x),x,1)
A085438: 1 28 244 1244 4619 13880 35832 82488 173613 339988 627484 1102036 1855607 3013232 4741232 7256688
loop(\(x,i).((x * x) * x),1,loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),x,1))
A270272: 1 64 1000 8000 42875 175616 592704 1728000 4492125 10648000 23393656 48228544 94196375 175616000 314432000 543338496
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2) + x),x,1)
A006134: 1 3 9 29 99 351 1275 4707 17577 66197 250953 956385 3660541 14061141 54177741 209295261
loop(\(x,i).((if x <= 0 then (2 + 1) else ((x * 2) - ((0 - x) mod (2 + 2)))) + x),x,1)
A118264: 1 0 3 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),((x div 2) - 2),x)),x) + 1)
A087743: 3 4 5 6 8 12 14 18 20 24 30 32 38 42 44 48
(x - ((x + 2) div ((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) + 1)))
A273724: 0 0 0 2 1 4 4 6 3 8 8 10 9 12 12 14
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,((((2 + 2) + 1) * i) + 2)) * x),x,1)
A091545: 1 42 5544 1507968 696681216 489070213632 485157651922944 646229992361361408 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 2) * x),x,1)
A054640: 1 3 12 72 576 6912 96768 1741824 34836480 836075520 25082265600 802632499200 30500034969600 1281001468723200 56364064623820800 2705475101943398400
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,1)
A070826: 1 3 15 105 1155 15015 255255 4849845 111546435 3234846615 100280245065 3710369067405 152125131763605 6541380665835015 307444891294245705 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),x,loop(\(x,i).((x * 2) * (2 + 1)),(x * x),1))
A135421: 1 30 32400 1259712000 1763193692160000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),(x * x),1)
A081623: 1 1 6 126 12870 5200300 9075135300 63205303218876 1832624140942590534 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).(((x * 2) * 2) * 2),(x * x),1))
A135320: 1 72 331776 97844723712 1846757322198614016 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (2 + 1)),x,loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1))
A135349: 1 30 22500 421875000 197753906250000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then (((x * 2) + 1) * (2 + 1)) else x) + x),x,1)
A018294: 1 2 4 31 62 124
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then (((x * x) + 1) * (x + 1)) else x) + x),x,1)
A018410: 1 2 4 89 178 356
loop(\(x,i).(loop(\(x,i).(x - ((x + 1) div (((2 + 1) * 2) + 1))),2,x) + x),x,1)
A222011: 1 2 4 8
A164391: 1 2 4 8 14 25 44 77 134 233 405 703 1220 2117 3673 6372
loop(\(x,i).(((loop(\(x,i).((x * 2) * (0 - 2)),(i - 1),1) + x) + x) + x),x,1)
A165458: 1 4 8 40 56 424 248 4840 ~1864 59944 ~82312 801640 ~1789384 11409064 ~32881672 169790440
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),((i + 1) * i),x) + x),x,1)
A292686: 1 101 101000101 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),i,x) - x),x,1)
A028692: 1 22 11616 141320256 39547060439040 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((i * x) * 2) div (i + 1)) * ((i * 2) + 1)),i,x),x,1)
A093883: 1 3 60 12600 38102400 2112397056000 2609908810629120000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),i) * x),x,1)
A067546: 1 3 15 105 840 7560 83160 1081080 15135120 227026800 3859455600 73329656400 1466593128000 30798455688000 708364480824000 17000747539776000
loop(\(x,i).(((((x * 2) * 2) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010973: 1 21 231 1771 10626 53130 230230 888030 3108105 10015005 30045015 84672315 225792840 573166440 1391975640 3247943160
loop(\(x,i).(((((x * 2) * 2) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A282288-A010935: 1 19 171 969 3876 11628 27132 50388 75582 92378 92378 75582 50388 27132 11628 3876
loop(\(x,i).(((((2 + 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010968: 1 16 136 816 3876 15504 54264 170544 490314 1307504 3268760 7726160 17383860 37442160 77558760 155117520
loop(\(x,i).(((((2 + 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010930: 1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1
loop(\(x,i).(((((x * 2) * (2 + 1)) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010971: 1 19 190 1330 7315 33649 134596 480700 1562275 4686825 13123110 34597290 86493225 206253075 471435600 1037158320
loop(\(x,i).(((((x * 2) * (2 + 1)) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010933: 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 12376 6188 2380 680 136
loop(\(x,i).((((((x * 2) * 2) * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010977: 1 25 325 2925 20475 118755 593775 2629575 10518300 38567100 131128140 417225900 1251677700 3562467300 9669554100 25140840660
loop(\(x,i).((((((x * 2) * 2) * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010939: 1 23 253 1771 8855 33649 100947 245157 490314 817190 1144066 1352078 1352078 1144066 817190 490314
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A010985: 1 33 561 6545 58905 435897 2760681 15380937 76904685 350343565 1471442973 5752004349 21090682613 73006209045 239877544005 751616304549
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * 2) div (if i <= 0 then 1 else i)) - x),x,1)
A010947: 1 31 465 4495 31465 169911 736281 2629575 7888725 20160075 44352165 84672315 141120525 206253075 265182525 300540195
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A010967: 1 15 120 680 3060 11628 38760 116280 319770 817190 1961256 4457400 9657700 20058300 40116600 77558760
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) - x),x,1)
A010929: 1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1
loop(\(x,i).((((((2 + 2) * (2 + 1)) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A010966: 1 14 105 560 2380 8568 27132 77520 203490 497420 1144066 2496144 5200300 10400600 20058300 37442160
loop(\(x,i).((((((2 + 2) * (2 + 1)) - 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A001288: 1 12 78 364 1365 4368 12376 31824 75582 167960 352716 705432 1352078 2496144 4457400 7726160
loop(\(x,i).(((((((2 + 2) * 2) * 2) + 1) * x) div (if i <= 0 then 1 else i)) - x),x,1)
A010932: 1 16 120 560 1820 4368 8008 11440 12870 11440 8008 4368 1820 560 120 16
loop(\(x,i).((((x - 1) * x) div 2) * ((x * 2) - 1)),1,loop(\(x,i).(i * x),x,1))
A020545: 0 0 3 165 12972 1706460 372470760 127985964120 65545882234560 47784528317211840 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(i * x),(x - 1),(x + 1)) * (x + 1)) + loop(\(x,i).(i * x),x,1))
A001344: 2 5 11 38 174 984 6600 51120 448560 4394880 47537280 562464000 7224940800 100111334400 1488257971200 23625316915200
loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,(i * x)),x,1)
A338550: 1 1 4 60 3360 705600 558835200 1678182105600 19198403288064000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - (i - compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),i))),x,1)
A112997: 1 2 4 7 13 20 30 41 55 74 94 119 147 176 208 245
(if (x - 1) <= 0 then 1 else (if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then 0 else 2))
A116127: 1 1 0 2 0 2 0 2 2 0 2 2 0 2 2 2
((if x <= 0 then (2 + 1) else (if ((x * 2) mod (((x + 2) + 2) + 1)) <= 0 then 2 else 0)) + 2)
A303579: 5 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2
((if x <= 0 then loop(\(x,i).((((((x * x) * 2) + 1) * 2) + 1) - x),2,2) else 0) div 2)
A246229: 571 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
(loop(\(x,i).(((loop(\(x,i).(i * x),i,1) + x) * (i + 1)) + x),(x + 2),0) div 2)
A024187: 7 47 342 2754 24552 241128 2592720 30334320 383970240 5231113920 76349105280 1188825724800 19675048780800
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x - (x div (0 - 2))))
A185727: 0 2 1 5 2 8 1 11 4 14 5 17 2 20 7 23
(loop(\(x,i).((((loop(\(x,i).(x * 2),x,2) div (x + 1)) + 2) * 2) + 1),x,0) + 2)
A104337: 2 11 211 4611686018427387903
(loop(\(x,i).(loop(\(x,i).((1 - x) * 2),i,1) + ((x * 2) * (2 + 1))),x,0) div 2)
A091056: 0 0 1 5 33 193 1169 6993 42001 251921 1511697 9069841 54419729 326517009 1959104785 11754623249
(loop(\(x,i).(((x * x) * x) * (x * x)),1,loop(\(x,i).((x * 2) + 1),x,0)) - 2)
A098879: ~2 ~1 241 16805 759373 28629149 992436541 33038369405 1078203909373 34842114263549 1120413075641341 35940921946155005 1151514816750309373 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((if (i mod ((x mod (2 + 2)) + 1)) <= 0 then 0 else 1) + x) + 1),x,0) * 2)
A114270: 0 2 4 6 8 10 12 16 18 22 26 30 32 34 36 38
((loop(\(x,i).((2 + 1) * x),(x - 1),1) + loop(\(x,i).(1 - (x * 2)),x,0)) div 2)
A094555: 0 1 1 6 11 46 111 386 1051 3366 9671 29866 87891 267086 794431 2396946
(loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) + i),(2 + 1),x),x,0) div 2)
A101830: 0 41 5021
(loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + (((i * 2) - 1) * x)),x,0) div 2)
A192458: 0 1 7 59 605 7365 104055 1675275 30290085 607828725 13406691375 322415322075 8396547684525 235419569309925 7070492932878375 226469231898784875
(((loop(\(x,i).((i + 2) * x),x,1) + 1) + (if (x - 1) <= 0 then 1 else (0 - 1))) * 2)
A109095: 6 10 24 120 720 5040 40320
((x div (loop(\(x,i).(if (x div 2) <= 0 then ((i * 2) + 1) else (x div 2)),x,0) + 1)) + 2)
A222127-A222027: 2 2 3 2 3 4 2 3 4 6 2 3 4 6 9 2
(if (x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)
A196942: 0 1 1 1 1 2 1 1 1 2 1 2 2 2 1 1
(if x <= 0 then 0 else (if (x mod ((((x - 1) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2))
A325225-A325169-A322862-A322306-A240086-A206719: 0 1 1 1 1 2 1 1 2 2 1 2 1 2 2 1
((if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * ((2 + 2) + 1)) else 1) * 2)
A040899: 30 2 60 2 60 2 60 2 60 2 60 2 60 2 60 2
((if (x mod (2 + 1)) <= 0 then 2 else loop(\(x,i).((2 + 1) * x),(x div (2 + 1)),1)) div 2)
A140313: 1 0 0 1 1 1 1 4 4 1 13 13 1 40 40 1
(((if ((if x <= 0 then 2 else ((x + 1) div 2)) mod (2 + 1)) <= 0 then (x div 2) else 1) + 1) div 2)
A327482: 1 1 1 1 1 1 2 1 1 1 1 3 3 1 1 1
(((loop(\(x,i).(i * x),x,1) div loop(\(x,i).((i * i) * x),(x div 2),1)) + 1) div 2)
A275324: 1 1 1 3 3 15 10 70 35 315 126 1386 462 6006 1716 25740
(1 - ((loop(\(x,i).(x - ((if x <= 0 then (x - 1) else i) div (2 + 1))),x,1) + 1) div 2))
A060826: 0 0 0 1 0 1 0 1 1 0 2 1 1 0 2 1
(2 - ((loop(\(x,i).loop(\(x,i).(x - 1),((i div 2) * x),(x + 1)),x,1) + 1) div 2))
A152545: 1 1 1 1 2 1 2 2 1 3 2 2 1 4 3 3
((loop(\(x,i).((((if (i - 2) <= 0 then 1 else 0) + x) + (x * 2)) * 2),x,1) + 1) div 2)
A055846: 1 4 25 150 900 5400 32400 194400 1166400 6998400 41990400 251942400 1511654400 9069926400 54419558400 326517350400
((loop(\(x,i).(((x * 2) div (if i <= 0 then 1 else i)) * ((i + 2) + 2)),x,1) + 1) div 2)
A080951: 1 5 30 140 560 2016 6720 21120 63360 183040 512512 1397760 3727360 9748480 25067520 63504384
((loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2),x,1) + 1) div 2)
A082138: 1 4 20 80 280 896 2688 7680 21120 56320 146432 372736 931840 2293760 5570560 13369344
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + ((x * 2) * 2)) * 2),(x + 1),1) div 2)
A088505: 5 45 390 3315 27846 232050 1922700 15862275 130423150 1069469830 8750207700 71460029550 582674087100 4744631852100 38589672397080 313541088226275
(loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else 2) + ((x * 2) * 2)),(x + 1),1) div 2)
A037660: 3 13 52 211 845 3380 13523 54093 216372 865491 3461965 13847860 55391443 221565773 886263092 3545052371
(loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),(x + 1),1) - 2)
A166813: 7 43 163 493 1285 3001 6433 12868 24308 43756 75580 125968 203488 319768 490312 735469
((loop(\(x,i).(x div 2),(x - 1),loop(\(x,i).(((i * 2) - 1) * x),x,1)) + 1) div 2)
A020045: 1 1 1 2 7 30 162 1056 7918 67304 639384 6713531 77205601 965070017 13028445232 188912455860
(loop(\(x,i).(i * x),(x - 1),(loop(\(x,i).(((i * 2) - 1) * x),x,1) + 1)) div 2)
A137729: 1 1 2 16 318 11352 623760 48648960 5108105520 694702028160 118794043549440 24946749109094400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,(1 - (x div loop(\(x,i).((0 - i) * x),x,1)))) + 1) div 2)
A288700: 1 2 0 8 8 32 32 128 128 512 512 2048 2048 8192 8192 32768
((x + 1) div (if (x - 2) <= 0 then 1 else (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2)))
A076224: 1 2 3 2 2 1 1 1 1 1 1 2 2 2 2 2
(((loop(\(x,i).(i + x),((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),0) div 2) + 1) div 2)
A008720: 1 0 2 0 3 1 4 2 5 3 7 4 9 5 11 7
(((x + 2) div (((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1) * 2) + 1)) + 2)
A222111: 2 2 3 2 3 4 2 3 4 5 2 3 4 5 7 2
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 1) * 2) + 1)) else 2)
A040440: 21 2 42 2 42 2 42 2 42 2 42 2 42 2 42 2
(if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else 2)
A040783: 28 2 56 2 56 2 56 2 56 2 56 2 56 2 56 2
(if x <= 0 then 0 else (if (x mod 2) <= 0 then 2 else ((x mod ((((x div 2) + 1) div 2) + 1)) mod 2)))
A107279: 0 0 2 1 2 1 2 1 2 0 2 1 2 1 2 0
((loop(\(x,i).(x * 2),x,(2 + 1)) - loop(\(x,i).(x * 2),((x + 1) div 2),1)) div 2)
A172411: 1 2 5 10
A136488-A135098: 1 2 5 10 22 44 92 184 376 752 1520 3040 6112 12224 24512 49024
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),(x div 2),((x + 1) mod 2)) + 1)) div 2)
A098657: 1 1 6 4 40 16 288 64 2176 256 16896 1024 133120 4096 1056768 16384
((if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040675: 26 2 52 2 52 2 52 2 52 2 52 2 52 2 52 2
((if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040483: 22 2 44 2 44 2 44 2 44 2 44 2 44 2 44 2
((((loop(\(x,i).((if ((x div 2) - 2) <= 0 then 1 else i) + x),x,1) div 2) div 2) + 1) div 2)
A172992: 0 0 0 1 1 1 2 2 3 5 6 7 9 10 12 14
(if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) else 2)
A040728: 27 2 54 2 54 2 54 2 54 2 54 2 54 2 54 2
loop(\(x,i).(i * x),((((if x <= 0 then 2 else (((2 + 1) * x) - 2)) div 2) * 2) - 1),2)
A130718: 2 2 12 240 725760 79833600 2615348736000 711374856192000 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then ((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) else 2)
A040624: 25 2 50 2 50 2 50 2 50 2 50 2 50 2 50 2
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)))
A216097: 1 3 9 27 81 243 729 2187 6561 9683 9049 7147 1441 4323 2969 8907
(if x <= 0 then 2 else loop(\(x,i).((x * x) * x),((x - 1) * x),(((2 + 2) + 1) * 2)))
A252707: 2 10 1000000000
(if x <= 0 then 0 else ((((if (x - 2) <= 0 then 1 else 2) + x) + (x div ((2 + 2) + 1))) + 2))
A168044: 0 4 5 7 8 10 11 12 13 14 16 17 18 19 20 22
(if x <= 0 then 1 else (((if (x - 1) <= 0 then x else (((x + 2) * x) div (2 + 2))) + 1) * 2))
A231407: 1 4 6
A256137: 1 4 6 8 14 18 26 32 42 50 62 72 86 98 114 128
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) * 2) + 1) * 2))
A017098: 1024 10000000000 3570467226624 141167095653376 2064377754059776 17080198121677824 97656250000000000 430804206899405824 1568336880910795776 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) * 2) + 1) * 2))
A017100: 4096 1000000000000 1156831381426176 95428956661682176 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x + 2) mod ((2 + 1) * 2)) <= 0 then 2 else 1) * (if ((x div 2) - 2) <= 0 then 1 else 2))
A077197: 1 1 1 1 2 1 2 2 2 2 4 2 2 2 2 2
(if x <= 0 then 1 else ((if (x - 1) <= 0 then x else ((x div 2) mod (((x mod 2) * 2) + 1))) * 2))
A096500: 1 2 0 2 0 4 0 0 0 2 0 4 0 0 0 2
(((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - ((2 + 1) * x)),x,2) div 2) + 1) div 2)
A091003: 1 ~1 4 ~10 34 ~94 298 ~862 2650 ~7822 23722 ~70654 212986 ~636910 1914826 ~5736286
(((loop(\(x,i).((loop(\(x,i).(i * x),x,2) + x) + 2),x,0) + 1) * (2 + 1)) + 2)
A097490: 5 17 167 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x - 2),(((if x <= 0 then 1 else 2) + 2) * (2 + 1))) - 2)
A079004: 7 10 10 34 106 322 970 2914 8746 26242 78730 236194 708586 2125762 6377290 19131874
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) * (2 + 1)) + 2))
A016942: 1024 1073741824 289254654976 10240000000000 141167095653376 1125899906842624 6278211847988224 27197360938418176 97656250000000000 303305489096114176 839299365868340224 2113922820157210624
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) * (2 + 1)) + 2))
A016944: 4096 68719476736 56693912375296 4096000000000000 95428956661682176 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((if (x mod 2) <= 0 then 2 else ((x + 2) * x)) mod ((2 + 1) * 2)))
A204919-A089090: 4 9 4 9 4 25 4 9 4 9 4 25 4 9 4 9
loop(\(x,i).((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x),x,((2 + 1) * 2))
A253946: 6 42 168 504 1260 2772 5544 10296 18018 30030 48048 74256 111384 162792 232560 325584
loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,((2 + 1) * 2))
A253945: 6 36 126 336 756 1512 2772 4752 7722 12012 18018 26208 37128 51408 69768 93024
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),x,1)) div ((x div (2 + 1)) + 2))
A288555: 1 1 3 14 200
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) * (2 + 1)) + 2)
A190640: 2 8 20 26 56 62 74 80 164 170 182 188 218 224 236 242
((compr(\x.loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),x) + (2 + 1)) * 2)
A073582: 6 8 10 14 22 26 34 38 46 58 62 74 82 86 94 106
((x + 1) mod ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 2))
A080063: 1 2 3 1 5 0 7 2 1 1 11 0 13 2 3 1
(((loop(\(x,i).(loop(\(x,i).(x * x),1,((x div 2) - 2)) + 2),2,x) div 2) + 1) div 2)
A146261-A146193-A146176: 1 1 1 1 1 1 1 1 1 1 3 3 13 13 31 31
((loop(\(x,i).(((x + 2) * 2) + x),x,1) mod (loop(\(x,i).(x * 2),x,2) - 1)) + 2)
A060692: 2 3 6 6 26 36 28 186 265 738 1105 3186 5269 15516 29728 55761
(x - (x div ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) + (if (x - 2) <= 0 then 1 else 2))))
A069754: 0 1 1 2 3 4 5 6 6 6 7 8 9 10 10 10
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) + 1) * 2))
A016835: 2048 362797056 100000000000 4049565169664 64268410079232 584318301411328 3670344486987776 17714700000000000 70188843638032384 238572050223552512 717368321110468608 1951354384207722496
loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (i mod 2)) - 1) * x),((x * 2) + 1),2)
A027638: 4 96 46080 371589120 48514675507200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).((x * x) * 2),1,(((x * x) + 1) * x)),(x * 2),1) * 2)
A324439: 2 1081600 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) + 1),((x + 1) div 2),loop(\(x,i).(x * 2),(x div 2),1)) div 2)
A192225: 0 1 2 5
A056326: 0 1 2 5 9 19 35 71 135 271 527 1055 2079 4159 8255 16511
(loop(\(x,i).(i * x),x,((loop(\(x,i).(i * x),x,(x + 1)) - (x mod 2)) + 1)) div 2)
A137730: 1 1 7 72 1452 43200 1814760 101606400 7315680960 658409472000 72425043734400 9560105533440000 1491376463456140800 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,(((((if x <= 0 then 0 else 2) + 2) * 2) - (x mod 2)) + 1)) div 2)
A190787: 2 8 18 32 72 128 288 512 1152 2048 4608 8192 18432 32768 73728 131072
((if x <= 0 then 2 else (loop(\(x,i).(((x - (x div (2 + 2))) div 2) + x),x,2) - 1)) div 2)
A094995: 1 1 1 2 3 4 6 9 12 17 24 33 45 62 86 118
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) + 1) * 2)
A238204: 10 16 22 26 28 34 36 40 46 50 52 56 58 64 66 70
(loop(\(x,i).((((x + 2) * x) div (2 + 1)) + loop(\(x,i).(x * 2),x,1)),x,1) div 2)
A317485: 0 1 6 4128
(if x <= 0 then 1 else ((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 2))
A034444: 1 2 2 2 2 4 2 2 2 4 2 4 2 4 4 2
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((x div ((i mod 2) - 2)) * 2),x,1)) div 2)
A113979: 0 2 1 6 6 20 28 72 120 272 496 1056 2016 4160 8128 16512
((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).((x div ((i mod 2) - 2)) * 2),x,1)) * 2)
A251421: 2 12 12 40 56 144 240 544 992 2112 4032 8320 16256 33024 65280 131584
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) div 2)
A081187: 1 5 26 140 776 4400 25376 148160 872576 5169920 30757376 183495680 1096779776 6563901440 39316299776 235629363200
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) div 2)
A081199: 0 1 10 76 520 3376 21280 131776 807040 4907776 29708800 179301376 1080002560 6496792576 39047864320 234555621376
((loop(\(x,i).((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x),(x + 2),x) + 1) div 2)
A158023: 1 2 3 4 6 8 10 12 14 16 17 19 20 22 23 25
((loop(\(x,i).(((x div 2) + x) * 2),x,(2 + 1)) - loop(\(x,i).(x * 2),x,1)) div 2)
A188545: 1 3 10
A053581: 1 3 10 32 100 308 940 2852 8620 25988 78220 235172 706540 2121668 6369100 19115492
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) - 1)) + loop(\(x,i).(x * 2),x,1)) div 2)
A007179: 0 1 1 4 6 16 28 64 120 256 496 1024 2016 4096 8128 16384
((loop(\(x,i).((x div ((i mod 2) - 2)) * 2),x,1) + loop(\(x,i).(x * 2),x,1)) div 2)
A113980: 1 0 3 2 10 12 36 56 136 240 528 992 2080 4032 8256 16256
((loop(\(x,i).((2 + 2) * (x - 1)),(x - 1),2) + loop(\(x,i).(x * 2),x,1)) div 2)
A274232: 1 2 4 10 30 102 374 1430 5590 22102 87894 350550 1400150 5596502 22377814 89494870
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),(x + 1)) * 2)
A186193: 14 20 24 26 32 34 38 44 48 50 54 56 62 64 68 74
((2 - (loop(\(x,i).(x * 2),(if (x mod (2 + 1)) <= 0 then x else 0),2) mod (x + 1))) div 2)
A238429: 1 1 0 1 0 0 0 0 0 ~1 0 0 0 0 0 1
(loop(\(x,i).(loop(\(x,i).((i + 2) * x),(2 + 2),(2 + 1)) * x),2,(x + 1)) div 2)
A050518: 583200 1166400 1749600 2332800 2916000 3499200 4082400 4665600 5248800 5832000 6415200 6998400 7581600 8164800 8748000 9331200
((loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) * (i + 2)),x,2) * (x + 1)) div 2)
A098107: 1 9 66 500 4110 37044 365904 3945024 46195920 584575200 7955893440 115942544640 1802051072640 29763892972800 520699560192000 9619862405529600
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),(x + 1)) * 2)
A146538: 6 12 18 22 24 30 32 36 42 46 48 52 54 60 62 66
loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + ((i * x) * 2)),(x + 1),2)
A306185: 5 23 153 1329 14235 181215 2672145 44781345 840523635 17465201775 397983749625 9867844134225 264469801070475 7618612476650175 234748657653134625 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),x,1) + 1) div ((x * 2) + 1)),1,((x + 1) * 2))
A191641: 1 1 5 15 48 163 565 1985 7085 25575 93206 342392 1266205 4709393 17602325 66076419
(loop(\(x,i).((if x <= 0 then (((2 + 1) * 2) + 1) else 0) - x),x,1) * ((x + 1) div 2))
A266086: 0 ~1 8 ~16 30 ~45 66 ~88 116 ~145 180 ~216 258 ~301 350 ~400
loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x + 1) mod 2))
A126869: 1 0 2 0 6 0 20 0 70 0 252 0 924 0 3432 0
((loop(\(x,i).((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1),2,x) mod (x + 1)) + 2)
A253591: 2 3 3 3 3 5 7 7 7 7 7 7 7 7 7 7
(loop(\(x,i).((((x * 2) * 2) - (if (2 - i) <= 0 then x else 1)) * 2),x,(x + 1)) * 2)
A229581: 2 28 264 2160 16416 119232 839808 5785344 39191040 262020096 1733363712 11367641088 74010599424 478892113920 3082323787776 19747769352192
(if (x mod 2) <= 0 then 2 else (x div (loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)) * 2)))
A118821: 2 ~1 2 ~2 2 ~1 2 ~4 2 ~1 2 ~2 2 ~1 2 ~8
(if (x - 1) <= 0 then 1 else ((loop(\(x,i).(i * x),(x - 1),(x + 2)) * (x - 1)) div 2))
A202365: 1 1 2 10 54 336 2400 19440 176400 1774080 19595520 235872000 3073593600 43110144000 647610163200 10374216652800
((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,x) * (x - 1)) div 2)
A240440: 0 0 15 105 420 1260 3150 6930 13860 25740 45045 75075 120120 185640 278460 406980
((if ((x - 1) mod ((2 + 1) * 2)) <= 0 then (x div (2 + 1)) else 0) + (if x <= 0 then 1 else 2))
A083261: 1 2 2 2 2 2 2 4 2 2 2 2 2 6 2 2
(((if (x mod 2) <= 0 then (((2 + 1) * 2) * (2 + 1)) else 0) + 1) * (if x <= 0 then 1 else 2))
A040360: 19 2 38 2 38 2 38 2 38 2 38 2 38 2 38 2
(((if (x mod (2 + 1)) <= 0 then (((2 + 2) + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040118: 11 2 2 22 2 2 22 2 2 22 2 2 22 2 2 22
((if (x mod 2) <= 0 then ((((2 + 2) * 2) * (2 + 1)) - 1) else 1) * (if x <= 0 then 1 else 2))
A040528: 23 2 46 2 46 2 46 2 46 2 46 2 46 2 46 2
((if (x mod (2 + 2)) <= 0 then (((2 + 2) * (2 + 1)) + 1) else 1) * (if x <= 0 then 1 else 2))
A040166: 13 2 2 2 26 2 2 2 26 2 2 2 26 2 2 2
((if (x mod 2) <= 0 then (((((2 + 2) * 2) * 2) * 2) - 1) else 1) * (if x <= 0 then 1 else 2))
A040960: 31 2 62 2 62 2 62 2 62 2 62 2 62 2 62 2
((((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 0) + 1) * 2) * (if x <= 0 then 1 else 2))
A040662: 26 4 52 4 52 4 52 4 52 4 52 4 52 4 52 4
((((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 0) + 1) * 2) * (if x <= 0 then 1 else 2))
A040472: 22 4 44 4 44 4 44 4 44 4 44 4 44 4 44 4
((if (x mod ((((x div 2) + 1) div (2 + 1)) + 1)) <= 0 then 1 else 2) * (if x <= 0 then 1 else 2))
A286575: 1 2 2 2 2 4 2 4 2 4 4 4 2 4 4 2
((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 1 else 2) * (if x <= 0 then 1 else 2))
A335385-A318307-A037445: 1 2 2 2 2 4 2 4 2 4 2 4 2 4 4 2
(((if (x mod 2) <= 0 then ((((2 + 2) * 2) * 2) - 1) else 1) * 2) * (if x <= 0 then 1 else 2))
A040884: 30 4 60 4 60 4 60 4 60 4 60 4 60 4 60 4
(((if (x mod 2) <= 0 then ((((2 + 1) * 2) + 1) * 2) else 1) * 2) * (if x <= 0 then 1 else 2))
A040769: 28 4 56 4 56 4 56 4 56 4 56 4 56 4 56 4
((if (x - ((x * x) mod (((x + 2) + 2) + 2))) <= 0 then 1 else 2) * (if x <= 0 then 1 else 2))
A214212: 1 2 2 4 2 4 4 2 2 4 4 4 4 2 2 2
((((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 0) + 2) * 2) * (if x <= 0 then 1 else 2))
A040762: 28 8 56 8 56 8 56 8 56 8 56 8 56 8 56 8
loop(\(x,i).(x * x),1,((x div (((x div (2 + 2)) + 2) + 2)) + (if x <= 0 then 1 else 2)))
A213083: 1 4 4 4 4 9 9 9 9 9 9 9 9 9 16 16
loop(\(x,i).(x - ((((1 - x) * x) div 2) * ((2 + 2) + 1))),x,(if x <= 0 then 1 else 2))
A099153: 1 7 112 31192 2432305372 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) + x) + (if x <= 0 then 1 else 2))
A176628: 1 5 8 11 16 19 24 27 32 39 42 49 54 57 62 69
((loop(\(x,i).((2 + 1) * x),(x div 2),1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A001444: 1 2 6 15 45 126 378 1107 3321 9882 29646 88695 266085 797526 2392578 7175547
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A081186: 1 4 17 76 353 1684 8177 40156 198593 986404 4912337 24502636 122336033 611148724 3054149297 15265963516
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A005059: 0 1 8 49 272 1441 7448 37969 192032 966721 4853288 24325489 121804592 609554401 3049366328 15251614609
(loop(\(x,i).(x - ((loop(\(x,i).((0 - x) * 2),(i - 1),1) - x) - x)),x,1) div 2)
A140725: 0 1 4 10 34 94 298 862 2650 7822 23722 70654 212986 636910 1914826 5736286
(((loop(\(x,i).(loop(\(x,i).((i * x) + 1),(i div 2),x) + x),x,0) - 1) div 2) + 2)
A155745: 1 1 2 3 7 21 143
((loop(\(x,i).(x * x),1,(loop(\(x,i).((x * 2) * (0 - 2)),x,1) + 1)) div 2) div 2)
A070775: 1 2 72 992 16512 261632 4196352 67100672 1073774592 17179738112 274878431232 4398044413952 70368752566272 1125899873288192 18014398643699712 288230375614840832
(x div (x - (if x <= 0 then 1 else ((x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + 2)) * 2))))
A283682: 0 1 1 1 2 1 1 2 2 1 2 2 2 2 2 1
(if x <= 0 then 1 else (((x mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)) mod 2) + 2))
A270226: 1 3 2 2 3 2 3 2 3 2 2 3 2 3 2 2
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).((((x * 2) * 2) * 2) + 1),2,2))
A036145: 1 3 9 27 81 106 44 132 122 92 2 6 18 54 25 75
(((((loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) mod (x + 2)) div 2) + 1) div 2) + 2)
A181948: 2 2 3 2 3 4 2 4 4 5 2 4 5 5 6 2
(loop(\(x,i).(x * 2),x,((((if (x - 1) <= 0 then 2 else 1) + x) * (2 + 1)) - 2)) div 2)
A176662: 2 7 14 40 104 256 608 1408 3200 7168 15872 34816 75776 163840 352256 753664
(loop(\(x,i).(((2 + 2) + 1) * x),x,loop(\(x,i).(x * 2),(x - (2 + 1)),2)) * 2)
A216099: 4 20 100 500 5000 50000 500000 5000000 50000000 500000000 5000000000 50000000000 500000000000 5000000000000 50000000000000 500000000000000
((if x <= 0 then 1 else (((if (x mod (2 + 1)) <= 0 then ((2 + 1) * x) else 2) + 1) * 2)) + 2)
A161432: 3 8 8 22 8
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) + 1) * 2) * 2))
A017122: 1048576 61917364224 10240000000000 296196766695424 3656158440062976 27197360938418176 144555105949057024 604661760000000000 2113922820157210624 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) + 1) * 2) * 2))
A017124: 16777216 8916100448256 4096000000000000 232218265089212416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).(((x * x) * 2) + 1),2,2))
A271380: 1 5 25 125 136 28 140 48 77 59 132 8 40 37 22 110
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).(((x * x) * 2) - 1),2,2))
A036137: 1 5 25 28 43 21 8 40 6 30 53 71 64 29 48 46
((loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),x,(2 + 1)) + x) + 1)) div 2) div 2)
A087438: 1 4 15 56 212 816 3184 12544 49728 197888 789248 3151872 12596224 50360320 201388032 805437440
loop(\(x,i).(((x + 1) * x) div 2),1,((loop(\(x,i).((x + 2) * 2),x,1) div 2) div 2))
A141499: 0 1 10 45 190 780 3160 12720 51040 204480 818560 3275520 13104640 52423680 209704960 838840320
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A014393: 1 9 81 29 61 49 41 69 21 89 1 9 81 29 61 49
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A001311: 1 6 36 16 96 76 56 36 16 96 76 56 36 16 96 76
(((loop(\(x,i).(x * 2),(x div 2),(x mod 2)) + loop(\(x,i).(x * 2),x,1)) * 2) * 2)
A253122: 4 12 16 40 64 144 256 544 1024 2112 4096 8320 16384 33024 65536 131584
(((loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(x - 1),1) * (x + 1)) div 2) + 2)
A088938: 2 3 5 10 27 104 541 3498 26615 231172 2250129 24227486 285705643 3660694200 50624828357 751426146514
(loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,(x * 2)),(x + 1),2) + 2)
A169622: 5 6 8 11 16 24 37 58 92 147 236 380 613 990 1600 2587
loop(\(x,i).((x * 2) * 2),x,(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),2) + 2))
A307691: 12 208 4032
(x - (loop(\(x,i).(x * 2),x,((x + 1) - loop(\(x,i).(x * 2),(x - 1),2))) div 2))
A288687: 1 1 4 19 92 421 1830 7687 31624 128521 518666 2084875 8361996 33497101 134094862 536608783
(loop(\(x,i).(((i * 2) + 1) * x),x,(1 mod loop(\(x,i).(x * x),(x - 1),2))) * 2)
A068215: 2 6 30 210 1890 20790 270270 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((loop(\(x,i).(((((2 + 2) + 1) * i) + 1) * x),x,1) div 2) + 2))
A011556: 1 5 35 530
(loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).((((x + 2) * i) * x) + 1),2,2))
A036158: 1 3 9 27 81 44 132 197 193 181 145 37 111 134 4 12
loop(\(x,i).(x * x),1,(if x <= 0 then 1 else (x - (x div ((x div ((0 - 2) - 2)) - 2)))))
A068952: 1 4 9 16 36 49 64 81 100 121 144 196
(((loop(\(x,i).(x * x),1,(loop(\(x,i).((i - 1) - x),x,2) + 1)) div 2) div 2) div 2)
A008801: 1 0 2 0 3 0 4 0 6 1 8 2 10 3 12 4
(2 - (if x <= 0 then 0 else (if (x mod (2 + 1)) <= 0 then 1 else (((x div (2 + 2)) mod 2) * 2))))
A078336-A076441: 2 2 2 1 0 0 1 0 2 1 2 2 1 0 0 1
(loop(\(x,i).((2 + 1) * x),x,1) mod (loop(\(x,i).(((x * x) * x) + 2),2,2) - 2))
A216096: 1 3 9 27 81 243 729 187 561 683 49 147 441 323 969 907
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x + 1) * 2),x,2)) + ((2 + 2) * 2))
A281699: 14 50 218 938 3914 16010 64778 260618 1045514 4188170 16764938 67084298 268386314 1073643530 4294770698 17179475978
loop(\(x,i).(if (x - 1) <= 0 then 1 else ((x * x) div (2 + 2))),1,(x - ((2 + 2) * 2)))
A224812: 1 1 1 1 1 1 1 1 1 1 1 2 4 6 9 12
(((if (x mod 2) <= 0 then (if x <= 0 then 1 else (2 + 2)) else x) - x) mod ((x div (2 + 2)) + 2))
A202385: 1 0 0 0 0 0 1 0 0 0 2 0 2 0 0 0
((loop(\(x,i).((2 + 1) * x),(x + 2),1) + loop(\(x,i).(x * 2),(x + 2),2)) + 2)
A183624: 19 45 115 309 859 2445 7075 20709 61099 181245 539635 1610709 4815739 14414445 43177795 129402309
((loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((i * i) + x)),2,(x + 2)) div 2) div 2)
A027357: 1 0 0 0 1 1 0 1 2 1 0 1 2 2 1 2
(loop(\(x,i).(loop(\(x,i).(x * 2),(i - 1),1) + ((x * 2) * 2)),(x * 2),2) div 2)
A166965: 1 19 316 5104 81856 1310464 20970496 335540224 5368692736 85899280384 1374389272576 21990231506944 351843716694016 5629499517435904 90071992480301056 1441151880490123264
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) * 2) * 2))
A017075: 0 8589934592 17592186044416 1521681143169024 36028797018963968 419430400000000000 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - (((x * 2) * 2) * 2)))
A016990: 0 282475249 289254654976 16679880978201 296196766695424 2758547353515625 17080198121677824 79792266297612001 303305489096114176 984930291881790849 2824752490000000000 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - (((x * 2) * 2) * 2)))
A016992: 0 13841287201 56693912375296 7355827511386641 232218265089212416 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).loop(\(x,i).((i + x) + (x + 2)),x,0),(x mod 2),(x div 2)) * 2) + 2)
A121173: 2 2 4 8 6 22 8 52 10 114 12 240 14 494 16 1004
(loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),(x + 2),2) + (x mod 2)) + 2)) div 2)
A240525: 5 19 68 268 1040 4144 16448 65728 262400 1049344 4195328 16780288 67112960 268447744 1073758208 4295016448
((loop(\(x,i).(x * 2),x,(loop(\(x,i).((x * 2) + 1),x,2) + (x mod 2))) div 2) div 2)
A181278: 0 3 11 48 188 768 3056 12288 49088 196608 786176 3145728 12581888 50331648 201322496 805306368
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((x * x) + 2),2,2))
A187078: 38 381 3811 38111 381111 3811111 38111111 381111111 3811111111 38111111111 381111111111 3811111111111 38111111111111 381111111111111 3811111111111111 38111111111111111
((loop(\(x,i).(loop(\(x,i).(x * x),1,((i div 2) + 2)) + x),x,1) * 2) + (2 + 2))
A271996: 6 14 32 50 82 114 164 214 286 358 456 554 682 810 972 1134
(loop(\(x,i).(x * x),1,loop(\(x,i).(x + 1),(x - ((2 + 2) * 2)),2)) div (2 + 2))
A224811: 1 1 1 1 1 1 1 1 1 2 4 6 9 12 16 20
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) + (2 + 2))
A153039: 8 11 14 16 17 20 21 23 26 28 29 31 32 35 36 38
loop(\(x,i).(x * x),((x mod (2 + 1)) - 1),((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)))
A060901: 1 1 1 3 1 1 1 3 1 1 1 9 1 1 1 3
loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2))
A034785: 4 8 32 128 2048 8192 131072 524288 8388608 536870912 2147483648 137438953472 2199023255552 8796093022208 140737488355328 9007199254740992
(compr(\x.loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 1)),x,(x + 2)),x) + (2 + 2))
A005381: 9 10 15 16 21 22 25 26 27 28 33 34 35 36 39 40
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + (2 + 2))
A146968: 4 5 7
A033164: 4 5 7 8 13 14 16 17 31 32 34 35 40 41 43 44
loop(\(x,i).loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0),2,(x mod (2 + 2)))
A290390: 0 1 11111111111 4611686018427387903
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (2 + 2))
A089253: 4 5 6 8 9 11 12 14 17 18 21 23 24 26 29 32
(loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) - x) * ((2 + 2) + 1)),x,2) div 2)
A165470: 1 5 15 85 215 1485 2815 26885 29415 508285 80015 10085685 ~8485385 210199085 ~379906785 4583888485
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 1) * x) + 2) * 2))
A016966: 1048576 10000000000 1099511627776 26559922791424 296196766695424 2064377754059776 10485760000000000 42420747482776576 144555105949057024 430804206899405824 1152921504606846976 2824752490000000000
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 1) * x) + 2) * 2))
A016968: 16777216 1000000000000 281474976710656 12855002631049216 232218265089212416 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,2)) div 2)
A067895: 1 21 422 8444 168888 3377776 67555552 1351111104 27022222208 540444444416 10808888888832 216177777777664 4323555555555328 86471111111110656 1729422222222221312 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),x,(loop(\(x,i).(((2 + 1) * x) - 1),x,2) div 2))
A053537: 1 10 175 2500 38125 568750 8546875 128125000 1922265625 28832031250 432490234375 6487304687500 97309814453125 1459645996093750 21894696044921875 328420410156250000
(((loop(\(x,i).((loop(\(x,i).(i * x),i,1) + x) * (x + 1)),x,1) * x) div 2) + 2)
A336832: 2 4 32 1676
(((loop(\(x,i).(((if (2 - i) <= 0 then x else 1) * 2) + x),x,(x + 1)) + x) + 2) div 2)
A082306: 1 3 9 29 97 327 1097 3649 12033 39371 127945 413349 1328609 4251535 13551753 43046729
(loop(\(x,i).(x * 2),x,1) div ((loop(\(x,i).((i * i) + x),(x - 1),x) + 2) * 2))
A326470: 0 0 0 0 0 0 0 0 0 1 1 2 3 6 9 15
(loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),x,2) - 2)
A218008: 0 0 2 4 10 18 38 68 138 250 502 922 1846 3430 6862 12868
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (if (i - 2) <= 0 then 0 else 2)),x,2) div 2)
A267524: 1 10 100 1001 10011 100111 1001111 10011111 100111111 1001111111 10011111111 100111111111 1001111111111 10011111111111 100111111111111 1001111111111111
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).((x * 2) * (0 - 2)),x,2)) * 2)
A107391: 24 ~896 67584 ~4161536 268959744 ~17171480576 1099645845504 ~70366596694016 4503633987108864 ~288229826395897856 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else (x div ((if (x mod 2) <= 0 then ((x mod (2 + 1)) div 2) else x) + 2))) div 2)
A027640: 1 0 0 0 1 0 1 0 1 0 2 0 3 0 2 0
(loop(\(x,i).(loop(\(x,i).(((x + 2) + 2) * 2),i,1) + ((x * 2) * 2)),x,2) div 2)
A171480: 1 9 50 232 996 4124 16780 67692 271916 1089964 4364460 17467052 69886636 279583404 1118407340 4473776812
loop(\(x,i).(i * x),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2),2)
A131491: 4 12 240 10080 79833600 12454041600 711374856192000 243290200817664000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 0 else compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x)) + 2) * 2)
A197638: 4 14 22 26 34 38 46 58 62 74 82 86 94 106 118 122
(if x <= 0 then 1 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2))
A207574: 1 6 10 14 22 26 34 38 46 58 62 74 82 86 94 106
(((if x <= 0 then 2 else compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x)) + 2) * 2)
A196226: 8 10 14 22 26 34 38 46 58 62 74 82 86 94 106 118
((loop(\(x,i).(x * 2),(x - ((2 + 2) * 2)),1) + loop(\(x,i).(x * 2),x,2)) - 2)
A123121: 1 3 7 15 31 63 127 255 511 1024 2050 4102 8206 16414 32830 65662
((loop(\(x,i).(((2 + 1) * x) - 1),(x + 2),2) - loop(\(x,i).(x * 2),x,2)) * 2)
A185940: 24 74 228 698 2124 6434 19428 58538 176124 529394 1590228 4774778 14332524 43013954 129074628 387289418
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,2)) * 2)
A211525: 8 14 24 44 80 152 288 560 1088 2144 4224 8384 16640 33152 66048 131840
(((loop(\(x,i).(x - (if (i - x) <= 0 then (i + 1) else 0)),x,x) - 1) mod (x + 2)) div 2)
A072741: 0 0 1 0 2 3 0 0 4 5 0 0 1 6 7 0
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),((x + 2) + 2))
A334321-A296520-A241059-A235154-A045921-A034845: 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73
(loop(\(x,i).((x + 1) * x),1,(if (((x div 2) - 2) - 2) <= 0 then x else (x + 2))) div 2)
A050760: 0 1 3 6 10 15 21 28 36 45 78 91 105 120 136 153
(loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) div 2)
A051923: 1 9 42 140 378 882 1848 3564 6435 11011 18018 28392 43316 64260 93024 131784
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)),((x * 2) * 2))
A031385: 2 11 23 41 59 73 97 109 137 157 179 197 227 241 269 283
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),((x * 2) * 2))
A031378: 3 13 29 43 61 79 101 113 139 163 181 199 229 251 271 293
((x - loop(\(x,i).(x - (if ((x * 2) mod (i + 1)) <= 0 then 2 else 1)),x,(x * 2))) + 2)
A020481: 2 3 3 3 5 3 3 5 3 3 5 3 5 7 3 3
(compr(\x.(1 - loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,x)),(x * 2)) * 2)
A248057: 2 8 14 22 26 32 38 42 50 56 62 70 74 82 88 94
(x - (loop(\(x,i).(if ((x - i) * x) <= 0 then (x - 1) else 1),(x div 2),(x div 2)) * 2))
A181694: 0 1 2 3 4 5 8 9 6 7 10 11 14 15 12 13
(((if ((x div 2) - 1) <= 0 then (((if x <= 0 then 0 else 2) * 2) + 1) else 0) + (x mod 2)) + 2)
A202478: 3 8 7 8 2
(loop(\(x,i).(((if x <= 0 then 1 else x) + 2) * ((x * 2) + 1)),(x - 1),(x mod 2)) + 2)
A062597: 2 3 5 211
(loop(\(x,i).(x * 2),(x - 1),(loop(\(x,i).((x * 2) + 1),x,2) - (x mod 2))) div 2)
A181270: 1 2 11 44 188 752 3056 12224 49088 196352 786176 3144704 12581888 50327552 201322496 805289984
(loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((2 + 1) * x),(x div 2),(x mod 2)) * 2))
A167784: 1 0 4 2 16 14 64 74 256 350 1024 1562 4096 6734 16384 28394
(if (x mod (2 + 2)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else ((x mod 2) + 2))
A040022: 5 3 2 3 10 3 2 3 10 3 2 3 10 3 2 3
(loop(\(x,i).(x * 2),(x + 2),2) - loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)))
A086652: 6 13 28 58 120 244 496 1000 2016 4048 8128 16288 32640 65344 130816 261760
(loop(\(x,i).((loop(\(x,i).((x - i) * x),2,(x * 2)) * (x + 1)) + x),x,2) * 2)
A219012: 4 724 198924689265124 4611686018427387903
(((((if (x - 1) <= 0 then 1 else ((if (x - 2) <= 0 then x else 1) * 2)) + x) + x) * 2) * 2)
A273387: 4 12 32 32 40 48 56 64 72 80 88 96 104 112 120 128
((compr(\x.loop(\(x,i).loop(\(x,i).(x div ((x mod 2) + 1)),x,(x + 1)),2,x),x) + 2) * 2)
A118586: 6 12 14 24 28 30 48 56 60 62 96 112 120 124 126 192
(loop(\(x,i).(((x * x) * (x + 1)) * (x + 1)),1,loop(\(x,i).(x * x),x,2)) * 2)
A330829: 72 800 147968 8657174528 4611686018427387903
loop(\(x,i).(((loop(\(x,i).((x * x) * 2),x,(2 + 1)) + 2) * (2 + 1)) + 1),x,2)
A238119: 2 1951 4611686018427387903
(if x <= 0 then 1 else (((x div (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1)) + x) + 2))
A231407: 1 4 6
A276040: 1 4 6 8 10 12 14 12 18 20 22 24 26 28 30 24
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) + 1) * x) + 2))
A016882: 1024 282475249 61917364224 2015993900449 26559922791424 205891132094649 1125899906842624 4808584372417849 17080198121677824 52599132235830049 144555105949057024 362033331456891249 839299365868340224 1822837804551761449 3743906242624487424
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) + 1) * x) + 2))
A016884: 4096 13841287201 8916100448256 582622237229761 12855002631049216 150094635296999121 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) + 1) * x) * 2))
A017278: 0 10000000000 10240000000000 590490000000000 10485760000000000 97656250000000000 604661760000000000 2824752490000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) + 1) * x) * 2))
A017280: 0 1000000000000 4096000000000000 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1)),x) - 2)
A153464: 0 3 4 6 9 10 12 14 15 17 18 19 21 24 27 28
(((if x <= 0 then 1 else (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * (2 + 1))) + x) + 2)
A220656: 3 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26
loop(\(x,i).((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + ((x * 2) * (2 + 1))),x,2)
A037563: 2 14 85 512 3074 18445 110672 664034 3984205 23905232 143431394 860588365 5163530192 30981181154 185887086925 1115322521552
loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 2 else 1) + x) + ((x * 2) * (2 + 1))),x,2)
A037556: 2 15 106 744 5209 36464 255250 1786751 12507258 87550808 612855657 4289989600 30029927202 210209490415 1471466432906 10300265030344
(loop(\(x,i).((x * 2) * 2),x,1) div loop(\(x,i).((x - (i mod 2)) * (2 + 1)),x,2))
A023434: 0 1 1 2 3 4 6 8 11 15 20 27 36 48 64 85
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((2 + 1) * x) + 2))
A016799: 2048 48828125 8589934592 285311670611 4049565169664 34271896307633 204800000000000 952809757913927 3670344486987776 12200509765705829 36028797018963968 96549157373046875 238572050223552512 550329031716248441 1196683881290399744
((loop(\(x,i).((loop(\(x,i).(x * 2),x,1) div (x + 1)) + x),(x - 2),1) + x) div 2)
A045504: 0 1 1 2 3 5 8 55
((x mod 2) - (loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(((2 + 1) * x) - 1),x,2)))
A092438: 0 2 6 26 90 302 966 3026 9330 28502 86526 261626 788970 2375102 7141686 21457826
(compr(\x.(loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x) + 1),x) - 2)
A097538: 1 5 9 17 21 29 41 45 57 65 69 77 81 101 105 125
(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,((x + 1) * x)) div 2)
A145911: 0 1 1 2 10 5 7 28 4 5 55 22 26 91 35 40
loop(\(x,i).loop(\(x,i).(x * 2),(x div 2),(x mod (0 - 2))),1,(((x + 1) * x) div 2))
A183896: 0 ~1 ~2 0 0 ~128 ~1024 0 0 ~4194304 ~134217728 0 0 ~35184372088832 ~4503599627370496 0
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) + 2)
A244055: 3 4 3 5 3
A090739: 3 4 3 5 3 4 3 6 3 4 3 5 3 4 3 7
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),x,2)
A036439: 2 4 7 12 19 30 43 60 79 102 131 162 199 240 283 330
((loop(\(x,i).(loop(\(x,i).((i + x) + x),(x - 2),0) * x),1,(x - 1)) * x) div 2)
A342404: 0 0 0 0 6 40 165 546 1596 4320 11115 27610 66858 158808 371553 858690
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - (x - 1)),x,2)
A083236: 2 0 3 2 5 6 7 10 9 14 15 16 21 20 23 24
((1 - loop(\(x,i).(((x - (i - x)) * 2) + 1),x,0)) - ((if x <= 0 then 1 else x) - 2))
A340495: 2 3 8 33 138 563 2268 9093 36398 145623 582528 2330153 9320658 37282683 149130788 596523213
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * ((if x <= 0 then 1 else x) mod 2))
A277560: 1 11 0 1111 0 111111 0 11111111 0 1111111111 0 111111111111 0 11111111111111 0 1111111111111111
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * x) + 1))),x) div 2)
A001912: 1 2 3 5 7 8 10 12 13 18 20 27 28 33 37 42
((x + 1) mod ((if (x mod 2) <= 0 then 1 else (if ((1 - x) mod (2 + 1)) <= 0 then 2 else x)) + 2))
A083218: 1 2 0 4 2 6 1 0 0 10 2 12 1 2 0 16
(((if (x - 2) <= 0 then 1 else ((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) + 2)) + x) * 2)
A309374: 2 4 6 10 12
A022305: 2 4 6 10 12 14 16 18 20 22 24 26 32 34 36 38
((if x <= 0 then 1 else ((2 + 2) * 2)) mod (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else 2))
A288323: 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 8
loop(\(x,i).((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + (((x * 2) * 2) * 2)),x,2)
A037565: 2 18 145 1162 9298 74385 595082 4760658 38085265 304682122 2437456978 19499655825 155997246602 1247977972818 9983823782545 79870590260362
loop(\(x,i).((if ((i - 1) mod (2 + 1)) <= 0 then 1 else 2) + (((x * 2) * 2) * 2)),x,2)
A037573: 2 17 138 1106 8849 70794 566354 4530833 36246666 289973330 2319786641 18558293130 148466345042 1187730760337 9501846082698 76014768661586
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) - 2)
A089986: ~1 0 1 3 4 6 9 10 13 15 16 18 19 24 25 30
(loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1)) + loop(\(x,i).((x * 2) * 2),x,2))
A138233: 5 35 275 2315 20195 179195 1602515 14381675 129271235 1162785755 10462450355 94151567435 847322163875 7625731702715 68630914235795 617675543767595
(loop(\(x,i).((x * 2) * (2 + 1)),x,(2 + 1)) - loop(\(x,i).((x * 2) * 2),x,2))
A016149: 1 10 76 520 3376 21280 131776 807040 4907776 29708800 179301376 1080002560 6496792576 39047864320 234555621376 1408407470080
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 1)) - loop(\(x,i).((x * 2) * 2),x,2))
A193656: 1 7 43 247 1363 7327 38683 201607 1040803 5335087 27199723 138095767 698867443 3527891647 17773675963 89405250727
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * 2) * 2)),x) * 2)
A074939: 0 4 10 12 28 30 36 40 82 84 90 94 108 112 118 120
loop(\(x,i).(((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + x) + ((x * 2) * 2)),x,2)
A037562: 2 12 61 307 1537 7686 38432 192162 960811 4804057 24020287 120101436 600507182 3002535912 15012679561 75063397807
loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),2)
A039716: 2 6 120 5040 39916800 6227020800 355687428096000 121645100408832000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i + x) + 1),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2)
A072205: 2 4 11 22 56 79 137 172 254 407 466 667 821 904 1082 1379
loop(\(x,i).((x * 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2)
A139290: 2 8 128 2048 524288 8388608 2147483648 34359738368 8796093022208 36028797018963968 576460752303423488 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A001248: 4 9 25 49 121 169 289 361 529 841 961 1369 1681 1849 2209 2809
loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A030514: 16 81 625 2401 14641 28561 83521 130321 279841 707281 923521 1874161 2825761 3418801 4879681 7890481
loop(\(x,i).(x * 2),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A110295: 2 6 20 56 176 416 1088 2432 5888 14848 31744 75776 167936 352256 770048 1736704
loop(\(x,i).((i + x) + x),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2)
A100105: 2 5 27 121 2037 8179 131055 524269 8388585 536870883 2147483617 137438953435 2199023255511 8796093022165 140737488355281 9007199254740939
((if (x - 1) <= 0 then x else compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x)) + 2)
A201363: 2 3 7
A045319: 2 3 7 11 13 17 19 23 29 31 37 41 43 47 53 59
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x),(((x + 2) * x) + 2))
A073171: 4 9 16 26 38 52 69 88 111 133 159 187 217 250 287 323
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),(1 - (x * 2))),x) + 2)
A124678: 3 4 5 6 8 9 11 12 14 17 18 21 23 24 26 29
loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + x) + 2),x,2)
A343859: 2 7 14 25 38 55 74 97 126 157 194 235 278 325 378 437
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),x,2)
A301273: 2 5 10 17 28 41 58 77 100 129 160 197 238 281 328 381
loop(\(x,i).(x - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)),x,2)
A282329: 2 ~1 ~6 ~13 ~24 ~37 ~54 ~73 ~96 ~125 ~156 ~193 ~234 ~277 ~324 ~377
(loop(\(x,i).((loop(\(x,i).(i * x),(i - 1),1) + x) * (i + 1)),x,0) * (x + 2))
A180218: 0 6 36 220 1500 11508 98784 940896 9862560 112923360 1402980480 18804839040 270532604160 4158579398400 68031755366400 1180252336435200
(loop(\(x,i).((x * 2) + 1),(if (x mod 2) <= 0 then ((x div 2) + 1) else 0),1) mod (x + 2))
A135521: 1 1 3 1 3 1 7 1 3 1 7 1 3 1 15 1
(if (1 - ((x - (if ((x div 2) - 2) <= 0 then 0 else 1)) mod (2 + 1))) <= 0 then 1 else (x + 2))
A088347: 2 1 1 5 1 1 1 9 1 1 12 1 1 15 1 1
((loop(\(x,i).(x - (((x div (if i <= 0 then 1 else i)) - x) div 2)),x,1) + 1) div (x + 2))
A017834: 1 0 0 0 1 1 1 1 2 3 4 5 7 9 13 18
compr(\x.(loop(\(x,i).(1 - (if (x mod (i + 2)) <= 0 then 0 else x)),(x div 2),x) + 1),(x + 2))
A161897: 11 23 47 59 83 107 167 179 227 263 347 359 383 467 479 503
(loop(\(x,i).(x * x),1,loop(\(x,i).((2 + 1) * x),(x + 1),(x + 1))) * (x + 2))
A129009: 18 972 26244 524880 8857350 133923132 1874923848 24794911296 313810596090 3835462841100 45565298552268 528708092292432 6014054549826414 67257769817585340 741208075540736400
(loop(\(x,i).(loop(\(x,i).((i * x) * 2),i,1) + ((i + 1) * x)),x,1) mod (x + 2))
A091528: 1 1 0 3 4 2 0 6 6 5 0 3 8 0 0 13
((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) * (2 + 1)) + x) + 2) div (x + 2))
A129264: 1 2 1 2 1 1 3 2 1 1 3 2 1 1 1 3
(if (x - (2 + 1)) <= 0 then (x + 1) else (loop(\(x,i).((x + 1) * 2),x,2) * (x + 2)))
A172998: 1 2 3 4 372
(loop(\(x,i).(x * 2),x,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 2))) div (x + 2))
A036296: 1 2 1 8 8 32 8 128 128 512 256 2048 2048 8192 1024 32768
((2 + 1) - loop(\(x,i).(if (x mod (2 + 2)) <= 0 then 1 else (x div (2 + 1))),x,(x + 2)))
A086411: 1 2 3 2 3 2 3 3 2 3 3 3 2 3 3 3
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (x + 2))
A184978: 2 4 6 9 11
A163057: 2 4 6 9 11 14 16 19 23 25 29 32 34 37 41 45
loop(\(x,i).((loop(\(x,i).((i * i) + x),(x - 1),x) * (2 + 2)) + 1),1,(x * 2))
A081586: 1 13 73 245 593 1181 2073 3333 5025 7213 9961 13333 17393 22205 27833 34341
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) div (1 - (x * 2)))
A002420: 1 ~2 ~2 ~4 ~10 ~28 ~84 ~264 ~858 ~2860 ~9724 ~33592 ~117572 ~416024 ~1485800 ~5348880
compr(\x.loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),(x - 1),(x + 1)),(x * 2))
A157970: 5 9 17 23 29 33 39 45 53 57 65 71 77 85 89 95
loop(\(x,i).((if x <= 0 then 1 else (x - (((i * x) + 1) div (2 + 1)))) + x),2,(x * 2))
A312908: 1 4 9 13 17 23 27 31 36 40 44 49 53 57 63 67
(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 1) + x),(x - 2),(x + 2)) - (x * 2))
A007920: 2 1 0 0 1 0 1 0 3 2 1 0 1 0 3 2
loop(\(x,i).(((((if x <= 0 then 1 else (x * x)) mod (2 + 1)) + x) * 2) + 1),1,(x div 2))
A088524: 3 3 5 5 7 7 7 7 11 11 13 13 13 13 17 17
((if (x - 1) <= 0 then 0 else ((if ((x div 2) mod 2) <= 0 then (2 + 2) else 0) + 1)) + (x mod 2))
A138279: 0 1 1 2 5 6 1 2 5 6 1 2 5 6 1 2
((if x <= 0 then 1 else (if (x mod (((x mod 2) + 2) * (2 + 1))) <= 0 then 2 else 1)) - (x mod 2))
A280750: 1 0 1 0 1 0 2 0 1 1 1 0 2 0 1 0
((if x <= 0 then 0 else (if (((x * x) div 2) mod ((x + 2) + 1)) <= 0 then 2 else 1)) - (x mod 2))
A292262: 0 1 1 0 1 0 2 0 1 0 1 0 1 0 1 0
(loop(\(x,i).((x * 2) * 2),x,(if (2 - x) <= 0 then ((x mod 2) * 2) else 1)) - (x mod 2))
A266380: 1 3 0 127 0 2047 0 32767 0 524287 0 8388607 0 134217727 0 2147483647
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),((x mod 2) * x),2) - 1)) - (x mod 2))
A266668: 1 5 4 119 16 2015 64 32639 256 523775 1024 8386559 4096 134209535 16384 2147450879
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (x mod 2)))
A119633: 1 125 2197 68921 1771561 48627125 1305751357 35319837041 953054410321 25737699078125 694870802988517 18761935323400361 506568440928284281 4611686018427387903 4611686018427387903 4611686018427387903
((if ((x - 1) mod ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2)) <= 0 then x else 1) + (x mod 2))
A247339: 1 2 1 4 1 6 1 2 1 10 1 2 1 14 1 16
((loop(\(x,i).(i + 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1) * 2) * (x mod 2))
A319697: 0 2 0 2 0 8 0 2 0 12 0 8 0 16 0 2
(if (x - 1) <= 0 then 1 else ((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) * (2 - (x mod 2))))
A034693: 1 1 2 1 2 1 4 2 2 1 2 1 4 2 2 1
(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) div (2 - (x mod 2)))
A106619: 0 1 1 1 2 5 1 7 4 1 5 11 2 13 7 5
loop(\(x,i).(if x <= 0 then 1 else ((x - ((1 - x) * (2 + 2))) * 2)),(x div 2),(x mod 2))
A305753: 0 1 1 2 2 12 12 112 112 1112 1112 11112 11112 111112 111112 1111112
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + (x mod 2))
A186776: 0 2 3 5 9 11 12 14 27 29 30 32 36 38 39 41
loop(\(x,i).(((x * x) * (2 + 1)) - x),1,loop(\(x,i).(((2 + 2) + 1) * x),x,2))
A291658: 10 290 7450 187250 4686250 117181250 2929656250 73242031250 1831053906250 45776363281250 1144409160156250 28610229394531250 715255736816406250 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),(2 + 1),x),x) + 2)
A186041: 2 3 4 5 8 11 13 14 17 18 20 23 25 26 28 29
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 1)) - loop(\(x,i).((2 + 1) * x),x,2))
A080961: 1 9 57 321 1713 8889 45417 230001 1158753 5820009 29178777 146130081 731358993 3658920729 18300980937 91524036561
(loop(\(x,i).(((x * 2) * 2) + 1),(x - 2),x) div loop(\(x,i).((2 + 1) * x),x,2))
A241549: 0 0 0 0 0 0 1 1 2 3 5 8 12 17 25 35
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),((x div 2) - 2),x)),x) * 2)
A161344: 4 6 8 10 14 22 26 34 38 46 58 62 74 82 86 94
(compr(\x.(1 - loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2),2,x)),x) * 2)
A266214: 14 22 26 28 30 38 42 44 46 50 52 54 56 58 60 62
(if x <= 0 then 1 else ((loop(\(x,i).(0 - ((x div ((i + 2) + 2)) + x)),2,x) + x) * 2))
A315187: 1 6 10 14 18 24 30 34 38 42 48 54 58 62 66 72
((loop(\(x,i).((if (x mod (i + 1)) <= 0 then 0 else x) - 1),x,((x + 2) * x)) + x) + 2)
A089120: 2 5 2 17 2 37 2 5 2 101 2 5 2 197 2 257
(compr(\x.(2 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x) * 2)
A262998: 10 26 34 58 74 82 106 122 146 178 194 202 218 226 274 298
(compr(\x.(2 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),x) + 2)
A104278: 13 17 25 28 32 38 43 46 47 58 59 60 61 62 67 71
((loop(\(x,i).(((2 - i) * x) * (x + 1)),x,2) + 1) + loop(\(x,i).(x * x),x,2))
A265851: 5 11 17 257 65537
loop(\(x,i).(if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 1 else 0),(x div 2),(0 - x))
A343453: 0 ~1 0 0 1 1 0 0 1 1 0 1 1 1 0 0
((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(((x + 1) * 2) + 1),x,0)) * x)
A178759: 0 0 0 18 144 750 3240 12642 46368 163350 559800 1881066 6229872 20406750 66273480 213759090
(loop(\(x,i).(x * 2),(loop(\(x,i).(i * x),(x div ((2 + 2) + 1)),1) - 1),1) + x)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A094270: 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 47
(((loop(\(x,i).loop(\(x,i).(((i + x) * i) div (x + 1)),x,i),x,2) - 1) - 1) * x)
A179023: 0 1 4 12 28 60 120 231 432 792 1430 2552 4512 7917 13804 23940
((loop(\(x,i).(loop(\(x,i).((x - i) * x),2,(x - 2)) * x),1,(x - 1)) + 1) * x)
A001096: 0 1 2 3 4 5 726 5047 20168 60489 151210 332651 665292 1235533 2162174 3603615
compr(\x.(loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,((x + 1) div 2)) + 1),x)
A344346: 3 4 11 12 15 16 19 20 27 28 35 36 43 44 47 48
loop(\(x,i).(loop(\(x,i).((x - i) * x),2,(x - 2)) * x),1,(((2 + 2) + 1) * x))
A054778: 0 120 30240 360360 1860480 6375600 17100720 38955840 78960960 146611080 254251200 417451320 655381440 991186560 1452361680 2071126800
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((2 + 2) + 1) * x))
A016859: 0 48828125 100000000000 8649755859375 204800000000000 2384185791015625 17714700000000000 96549157373046875 419430400000000000 1532278301220703125 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x * 2) - (if x <= 0 then 0 else 1)),(x - 1),(x - 2)) div 2) + 1) + x)
A089243: 0 1 3 4 9 22 55
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1))),x)
A005098: 1 3 4 7 9 10 13 15 18 22 24 25 27 28 34 37
compr(\x.((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x) + 1) mod (2 + 1)),x)
A003627: 2 5 11 17 23 29 41 47 53 59 71 83 89 101 107 113
((if (x - 2) <= 0 then 1 else ((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * (2 + 1))) + x)
A272799: 1 2 3 6 7 8 9 10 11 15 16 17 18 19 20 21
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)),((2 + 1) * x))
A031377: 2 7 17 29 41 53 67 79 97 107 127 139 157 173 191 199
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),((2 + 1) * x))
A252802: 3 11 19
A031369: 3 11 19 31 43 59 71 83 101 109 131 149 163 179 193 211
((((if (x - 2) <= 0 then 1 else (if (x mod 2) <= 0 then x else (1 - x))) + x) mod (2 + 1)) + x)
A014685: 1 3 2 4 6 6 6 8 9 10 12 12 12 14 15 16
((if x <= 0 then 2 else ((((if (x - (2 + 2)) <= 0 then 1 else x) + x) * (x + 2)) - 1)) - x)
A253849: 2 4 9 16 25 64
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) + 1)),x)
A153085: 1 4 5 7 10 11 13 15 16 18 19 20 22 25 28 29
loop(\(x,i).(x * 2),x,(if (x div ((2 + 2) + 1)) <= 0 then 1 else (((x * 2) - 1) * x)))
A222011: 1 2 4 8
A164312: 1 2 4 8 16 1440
compr(\x.(loop(\(x,i).(0 - (if ((x + 1) mod (i + 1)) <= 0 then 0 else x)),x,(x * 2)) + 1),x)
A292911: 1 3 7 9 15 19 21 27 31 37 45 49 51 55 57 69
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x)
A309374: 2 4 6 10 12
A024892: 2 4 6 10 12 14 20 22 24 26 32 34 36 42 46 50
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x)
A002384: 1 2 3 5 6 8 12 14 15 17 20 21 24 27 33 38
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x)
A096176: 2 3 5 6 8 12 14 15 17 20 21 24 27 33 38 41
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) - 1))),x)
A045546: 2 3 4 5 6 8 9 10 11 13 15 16 19 20 21 24
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x - 1) * x) + 1))),x)
A066271: 3 4 6 7 9 13 15 16 18 21 22 25 28 34 39 42
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x - 1) * x) - 1))),x)
A002328: 3 4 5 6 7 9 10 11 12 14 16 17 20 21 22 25
((loop(\(x,i).(if x <= 0 then 1 else (((x + 1) * 2) * ((2 + 2) + 1))),2,x) - 1) + x)
A032613: 19 210 311 412 513 614 715 816 917 1018 1119 1220 1321 1422 1523 1624
((loop(\(x,i).((x * x) - loop(\(x,i).(((x * 2) * 2) + 1),i,1)),2,x) + 1) * x)
A121672: 0 ~4 ~38 ~12 404 1900 5646 13412 27688 51804 90050 147796 231612 349388 510454 725700
((loop(\(x,i).(loop(\(x,i).((x + 2) mod (i + 1)),i,1) + x),x,1) div (x + 1)) + x)
A244017: 1 2 2 4 5 6 7 8 10 11 13 14 15 16 17 18
compr(\x.loop(\(x,i).(if (x mod (2 + 2)) <= 0 then 0 else ((x div (2 + 2)) + 1)),2,(x + 1)),x)
A337250: 3 7 11 12 13 14 15 19 23 27 28 29 30 31 35 39
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((2 + 2) * (x + 1)) + x))
A016906: 1048576 3486784401 289254654976 6131066257801 63403380965376 420707233300201 2064377754059776 8140406085191601 27197360938418176 79792266297612001 210832519264920576 511116753300641401
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((2 + 2) * (x + 1)) + x))
A016908: 16777216 282429536481 56693912375296 2213314919066161 36520347436056576 353814783205469041 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((2 + 2) * (x + 1))),x)
A153086: 2 5 7 8 11 12 14 17 20 21 22 23 26 27 28 29
((loop(\(x,i).(x * x),1,(loop(\(x,i).(i * x),x,1) - (x + 2))) div (x + 1)) + x)
A091323: 1 3 3 3 68
loop(\(x,i).(x * x),1,((loop(\(x,i).((x - i) * x),2,(x * 2)) * (x + 1)) + x))
A239610: 0 1 131044 11309769 228735376 2258625625 14430255876 68689595569 264286471744 865363202001 2496558002500 6503780163001 15577324963344 34772403556969 73108895539876 145988618630625
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),(x + 1)) + x)
A336407: 3 7 11 14 16 20 22 25 29 32 34 37 39 43 45 48
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),(x + 1)) - x)
A008508: 3 5 7 8 8 10 10 11 13 14 14 15 15 17 17 18
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1) - ((x + 1) * x))
A289715: 1 4 24 128 610 2742 11970 51424 218718 923690 3879766 16224804 67603744 280816018 1163381190 4808642880
loop(\(x,i).((x * 2) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,((x + 1) * x))
A145909: 0 8 8 16 80 40 56 224 32 40 440 176 208 728 280 320
(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - ((x div 2) mod 2))))),x,(x + 1)) + x)
A136480: 1 1 1 2 2 1 1 3 3 1 1 2 2 1 1 4
loop(\(x,i).((if (i - 1) <= 0 then 1 else ((((i * 2) - 1) * x) * 2)) * 2),(x - 1),x)
A052712: 0 1 2 24 480 13440 483840 21288960 1107025920 66421555200 4516665753600 343266597273600 28834394170982400 2652764263730380800 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),(2 + 1),x) div (if x <= 0 then 1 else x))
A017275: 0 10000000 1280000000 21870000000 163840000000 781250000000 2799360000000 8235430000000 20971520000000 47829690000000 100000000000000 194871710000000 358318080000000 627485170000000
(loop(\(x,i).(((x * x) * (2 + 1)) * (2 + 1)),(2 + 1),x) div (if x <= 0 then 1 else x))
A017167: 0 4782969 612220032 10460353203 78364164096 373669453125 1338925209984 3938980639167 10030613004288 22876792454961 47829690000000 93206534790699 171382426877952 300124211606973
(loop(\(x,i).(((x * x) * (2 + 2)) * (2 + 1)),(2 + 1),x) div (if x <= 0 then 1 else x))
A017527: 0 35831808 4586471424 78364164096 587068342272 2799360000000 10030613004288 29509034655744 75144747810816 171382426877952 358318080000000 698260569735168 1283918464548864 2248392813428736
compr(\x.(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then x else ((2 + 2) + 1))),x,x) + 1),x)
A172407: 1 3 7 9 13 19 21 27 31 33 37 43 49 51 57 61
compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (2 + 1))),x,x) + 1),x)
A155722: 1 2 4 5 7 10 11 14 16 17 19 22 25 26 29 31
compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (i + 1))),x,x) + 1),x)
A153762: 1 4 8 10 11 13 16 23 28 29 31 34 38 41 43 49
((loop(\(x,i).(if (x mod (((2 + 2) + 1) * 2)) <= 0 then (0 - x) else i),x,x) + 1) + x)
A338742: 1 3 5 7 9 11 13 15 17 19 21 2 23 4 25 6
loop(\(x,i).((x div (2 + 2)) + x),2,((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x))
A076436: 1 2 3 6 7 8 10 12 13 15 18 20 21 22 25 26
((((loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1) + 1) * (2 + 1)) div 2) + x)
A304588: 3 5 9 10 17 18 19 20 33 34 35 36 37 38 39 40
((if (x - 1) <= 0 then 1 else ((x div ((if (x mod (2 + 2)) <= 0 then 2 else 1) + 2)) + 2)) + x)
A075313: 1 2 4 6 7 8 10 11 12 14 15 16 17 19 20 22
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).((((x * x) - 1) * x) + 1),2,2)) + x)
A342350: 38272753 38272754 38272755 38272756 38272757 38272758 38272759 38272760 38272761 38272762 38272763 38272764 38272765 38272766 38272767 38272768
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) div 2) div 2)) + x)
A126890: 0 1 2 3 5 7 6 9 12 15 10 14 18 22 26 15
loop(\(x,i).((if x <= 0 then 1 else ((x * 2) * 2)) mod (((x div (2 + 2)) + 2) + 2)),2,x)
A263655: 0 1 1 1 0 1 1 0 0 1 1 0 4 0 1 1
(x mod loop(\(x,i).(if x <= 0 then 1 else (x - ((x div ((2 - (x mod 2)) * 2)) mod 2))),2,x))
A174806: 0 0 0 1 0 0 1 2 0 0 0 1 2 0 1 2
compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 2)) <= 0 then 0 else x),x,(((x * 2) * 2) * 2)),x)
A127260: 0 1 3 4 6 7 8 10 13 15 16 18 19 20 21 22
(if x <= 0 then ((2 + 2) + 1) else ((if (x - 2) <= 0 then 1 else (((x mod 2) * 2) * 2)) * x))
A289690: 5 1 2 12 0
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then (2 + 2) else 0) + 1)),x,((x * 2) * 2)),x)
A108337: 0 1 3 5 6 13 15 16 18 25 26 28 30 31 63 65
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * 2) * 2))),x)
A095278: 0 1 2 4 5 7 10 11 14 16 17 19 20 25 26 31
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 2))),x)
A024893: 0 1 3 5 7 9 13 15 17 19 23 27 29 33 35 37
(loop(\(x,i).(x * x),1,(if (x - 2) <= 0 then 1 else ((((x * 2) + 1) * x) * 2))) + x)
A323518: 1 2 3 1767
compr(\x.(loop(\(x,i).((loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2) + 2),2,x) - 2),x)
A233524: 0 1 2 4 5 8
A095031: 0 1 2 4 5 8 10
A191985: 0 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58
(((loop(\(x,i).((x * x) * x),2,x) + loop(\(x,i).(x * x),(2 + 2),x)) div 2) * x)
A170799: 0 1 66048 64599606 8590458880 381474609375 8463359955456 116315398231228 1125900443713536 8338592593225485 50000005000000000 252723527218359186 1109305584328900608 4325208028619914891 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((if (x - 2) <= 0 then 2 else ((x * x) div (x - ((2 - x) div 2)))) + x))
A171512: 1 3 4 5 7 8 10 11 13 15 17 18 20 21 23 25
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) + 2))),x)
A089593: 0 1 3 5 9 13 15 19 23 25 35 39 53 55 65 73
loop(\(x,i).(0 - (loop(\(x,i).((x * x) + 2),2,2) * (x + 1))),2,((x + 2) * x))
A158764: 1406 5738 12958 23066 36062 51946 70718 92378 116926 144362 174686 207898 243998 282986 324862 369626
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),(x + 2),x)
A071148: 3 8 15 26 39 56 75 98 127 158 195 236 279 326 379 438
((if (x mod 2) <= 0 then (if (x mod (2 + 2)) <= 0 then (x div (2 + 2)) else 0) else (x * 2)) - x)
A255563: 0 1 ~2 3 ~3 5 ~6 7 ~6 9 ~10 11 ~9 13 ~14 15
(1 - loop(\(x,i).((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) * 2) - 1),(x * 2),x))
A120777: 1 4 8 64 128 512 1024 16384 32768 131072 262144 2097152 4194304 16777216 33554432 1073741824
loop(\(x,i).(x - (loop(\(x,i).(x + 2),(x - 1),((0 - 2) - 1)) - 2)),(x * 2),x)
A271859: 0 1 2 3 4 5 6 5 4 3 2 1 2 3 4 5
((if (x mod 2) <= 0 then (if (x mod ((2 + 2) * 2)) <= 0 then x else (x * 2)) else (x div 2)) - x)
A334952: 0 ~1 2 ~2 4 ~3 6 ~4 0 ~5 10 ~6 12 ~7 14 ~8
compr(\x.loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) - 2)),x,x) - 1),(x mod 2),(x div 2)),x)
A173601: 0 1 3 5 7 9 11 15 17 19 23 27 31 33 35 39
compr(\x.(1 - loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * x) * 2))),x)
A146968: 4 5 7
A219115: 4 5 7 8 10 12 13 14 15 17 20 21 22 23 24 25
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * x) * 2))),x)
A192225: 0 1 2 5
A216968: 0 1 2 5 7 8 22 23 28 37 40 43 47 50 55 62
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024149: 1 11 ~368 ~17955 ~241408 ~1704293 ~7091712 ~4521799 295763968 4772359863 60917364224 740650422997 8910940667904 106982600879699 1283897803502080 15406983131226993
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024123: 1 9 ~412 ~18683 ~252144 ~1853125 ~9077696 ~30353607 ~34217728 612579511 9000000000 97642052309 994840219648 9989395500627 99979338953216 999961556640625
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024084: 1 6 ~463 ~19340 ~259743 ~1936318 ~9960047 ~39530064 ~128452927 ~347066882 ~717524751 ~380620948 8681506849 86284511034 657562026065 4709118150568
((loop(\(x,i).((if x <= 0 then 2 else ((((i + 2) * i) + 1) + x)) + x),x,0) + x) * x)
A020874: 0 3 30 135 452 1295 3378 8295 19560 44847 100790 223223 488940 1061775 2289882 4910535
compr(\x.(1 - ((x div 2) mod (2 + 1))),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x))
A222438: 2 2 3 2 3 4 2 3 4 5 2 3 4 5 8 2
compr(\x.((((x - 1) div 2) div 2) mod 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x))
A253573: 1 1 2 1 2 3 1 2 3 4 1 2 3 4 9 1
(1 - loop(\(x,i).(x - (if x <= 0 then 0 else ((((2 + 1) * i) * (i + 1)) + 1))),x,x))
A333884: 1 7 6 5 4 3 2 1 19 18 17 16 15 14 13 12
loop(\(x,i).((x * x) * x),1,((loop(\(x,i).((x + 2) * (x + 2)),2,1) * x) * x))
A017394: 0 1771561 113379904 1291467969 7256313856 27680640625 82653950016 208422380089 464404086784 941480149401 1771561000000 3138428376721 5289852801024 8550986578849 13339032325696
(loop(\(x,i).(x - (if (x mod 2) <= 0 then ((x div (2 + 2)) mod 2) else 1)),(2 + 1),x) + x)
A010381: 0 1 4 5 6 7 9 11 16 17
(((loop(\(x,i).(if x <= 0 then 0 else ((((x * x) div 2) * 2) - 1)),2,x) + 1) + x) + x)
A282901: 1 3 12 54 232
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x + 1) * x))),x)
A027752: 0 1 4 7 10 19 22 25 34 37 55 70 79 94 100 112
compr(\x.(loop(\(x,i).(x * x),1,loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1))) - x),x)
A112714: 1 3 7 11 15 23 31 39 47 55 63 79 95 111 127 143
loop(\(x,i).((i * x) - loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1)),x,x)
A180191: 0 1 3 13 67 411 2921 23633 214551 2160343 23897269 288102189 3760013027 52816397219 794536751217 12744659120521
(x - loop(\(x,i).(x - (if x <= 0 then 0 else (i - ((i - 1) mod ((2 + 1) * 2))))),x,x))
A171597: 0 1 2 3 4 5 6 13 13 13 13 13 13 13 20 20
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (((x div (2 + 2)) mod 2) * 2))),x,x)
A011602: 0 1 1 1 1 ~1 1 ~1 1 1 ~1 1 1 ~1 ~1 ~1
((1 - loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),((2 + 2) * 2),x)) + x)
A185137: 1 1 1 1 1 1 2 3 4 5 6 7 8 9 9 9
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),x)
A181747: 1 3 5 11 17 29 41 59 71 101 107 137 149 179 191 197
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),(1 - (x * 2))),x) - x)
A129768: 1 1 1 1 2 2 3 3 4 6 6 8 9 9 10 12
((loop(\(x,i).(if x <= 0 then 1 else (x - ((1 - x) div (2 + 1)))),2,(x * 2)) + x) + x)
A315535: 1 6 11 17 23 27 33 39 44 50 56 61 67 73 77 83
(((if x <= 0 then 0 else ((loop(\(x,i).(i * x),x,2) + (x + 1)) + (x mod 2))) + x) + x)
A076855: 0 7 11 23 61
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024111: 1 8 ~943 ~58320 ~1042015 ~9706576 ~59934735 ~277692280 ~1030695103 ~3099363912 ~6513215599 5443635008 220512172257 2404007336480 22587537799985 205314481704024
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024072: 1 5 ~988 ~58833 ~1047280 ~9757849 ~60419520 ~282195313 ~1072062208 ~3476706705 ~9939533824 ~25574627545 ~59740581888 ~124797797833 ~210890490880 ~106465406049
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024098: 1 7 ~960 ~58537 ~1044480 ~9732857 ~60204032 ~280378097 ~1056964608 ~3352566673 ~8926258176 ~17347490009 6802112512 411897322039 4108791856128 34607721698207
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024059: 1 4 ~999 ~58924 ~1047951 ~9762500 ~60450551 ~282397124 ~1073351199 ~3484831276 ~9990234375 ~25888596476 ~61673223599 ~136637788724 ~283151139351 ~546132812500
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(loop(\(x,i).((x * x) * x),2,x) * x))
A198479: 0 10 102400 59049000 10485760000 976562500000 60466176000000 2824752490000000 107374182400000000 3486784401000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((x * x) * 2),2,(((x * x) * (x + 1)) + 1)),1,(x * x))
A235368: 8 648 344373768
((if x <= 0 then 0 else (loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) + 1)) - (x * x))
A211958: 0 3 12 37 90 186 343 582 927 1405 2046 2883 3952 5292 6945 8956
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024148: 1 11 ~112 ~4833 ~44800 ~141793 1306368 30067007 413204480 5116733631 61817364224 742794011807 8915670466560 106992389648351 1283916988759808 15407019011695743
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024122: 1 9 ~156 ~5561 ~55536 ~290625 ~679616 4235199 83222784 956953279 9900000000 99785641119 999570018304 9999184269279 99998524210944 999997437109375
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024083: 1 6 ~207 ~6218 ~63135 ~373818 ~1561967 ~4941258 ~11012415 ~2693114 182475249 1762967862 13411305505 96073279686 676747283793 4744998619318
(loop(\(x,i).((x * 2) * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024047: 1 3 ~2032 ~177083 ~4194048 ~48827101 ~362792960 ~1977310359 ~8589869056 ~31380797465 ~99998951424 ~285307476307 ~742991593472 ~1792093285173 ~4049296734208 ~8648682117551
(loop(\(x,i).((2 + 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024034: 1 2 ~2039 ~177120 ~4194223 ~48827882 ~362796327 ~1977324556 ~8589928031 ~31381039926 ~99999940951 ~285311493464 ~743007839247 ~1792158799714 ~4049560386695 ~8649741510468
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(x * x)) * (x * x))
A069121: 0 2 96 1620 17920 157500 1197504 8240232 52715520 318995820 1847560000 10328229912 56073378816 297051536600 1541119305600 7852824450000
compr(\x.loop(\(x,i).(x - (if (((x + 2) + 2) mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x)
A101448: 0 1 3 4 6 9 10 13 15 16 18 21 24 25 28 30
compr(\x.(0 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (2 + 1))),x,x)),x)
A155723: 0 3 6 8 9 12 13 15 18 20 21 23 24 27 28 30
compr(\x.(1 - loop(\(x,i).(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else (x div 2)),x,x)),x)
A004781: 7 14 15 23 28 29 30 31 39 46 47 55 56 57 58 59
compr(\x.(1 - loop(\(x,i).(if ((x + 2) mod ((2 + 2) * 2)) <= 0 then x else (x div 2)),x,x)),x)
A004749: 6 12 13 14 22 24 25 26 27 28 29 30 38 44 45 46
compr(\x.(1 - loop(\(x,i).(if (((x + 1) div 2) mod (2 + 2)) <= 0 then x else (x div 2)),x,x)),x)
A286261-A136037: 7 8 14 15 16 17 23 24 28 29 30 31 32 33 34 35
compr(\x.(x - (1 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),(x * 2),(x * x)))),x)
A242137: 0 1 2 4 6 9 11 14 16 21 23 26 28 33 35 38
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024113: 1 8 ~4015 ~530712 ~16770655 ~244081576 ~2176250895 ~13836504232 ~68676430015 ~282042115992 ~996513215599 ~3107047317112 ~8633670911775 ~20756219294152 ~33817119920335 76144794204024
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024074: 1 5 ~4060 ~531225 ~16775920 ~244132849 ~2176735680 ~13841007265 ~68717797120 ~282419458785 ~999939533824 ~3138065579665 ~8913923665920 ~23285024428465 ~56615548211200 ~129276152906049
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024100: 1 7 ~4032 ~530929 ~16773120 ~244107857 ~2176520192 ~13839190049 ~68702699520 ~282295318753 ~998926258176 ~3129838442129 ~8847380971520 ~22748329308593 ~52295865864192 ~94561965801793
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024061: 1 4 ~4071 ~531316 ~16776591 ~244137500 ~2176766711 ~13841209076 ~68719086111 ~282427583356 ~999990234375 ~3138379548596 ~8915856307631 ~23296864419356 ~56687808859671 ~129715820312500
(loop(\(x,i).((((x - 1) * x) div 2) + (if x <= 0 then 0 else 1)),2,x) + ((x * x) * x))
A211905: 0 2 10 34 86 181 337 575 919 1396 2036 2872 3940 5279 6931 8941
(if (2 - x) <= 0 then (((x - 1) mod (((x + 1) div ((2 + 2) + 1)) + 1)) + 1) else 0)
A237260: 0 0 1 1 2 1 2 1 2 3 1 2 3 1 2 3
(if (x mod ((2 + 2) + 1)) <= 0 then (((x div 2) div ((x mod (2 + 1)) + 1)) + 1) else 0)
A046775: 1 0 0 0 0 1 0 0 0 0 3 0 0 0 0 8
(if (x mod 2) <= 0 then ((x div (((((2 - x) mod (2 + 2)) + 2) * 2) + 1)) + 1) else 0)
A104477: 1 0 1 0 1 0 2 0 1 0 3 0 2 0 3 0
(if (x mod 2) <= 0 then ((((((x div 2) * x) div (2 + 2)) + 1) div (2 + 1)) + 1) else 0)
A035385: 1 0 1 0 2 0 2 0 4 0 5 0 7 0 9 0
(if (x mod 2) <= 0 then (((x div (2 + 1)) + 1) mod (((x mod (2 + 1)) * 2) + 1)) else 0)
A333767: 0 0 1 0 2 0 0 0 3 0 1 0 0 0 0 0
(if (x mod 2) <= 0 then (((x mod ((((2 - x) div 2) mod (2 + 2)) + 2)) div 2) + 1) else 0)
A172293: 1 0 1 0 3 0 2 0 2 0 1 0 2 0 2 0
(x - ((x div 2) - (if ((x mod (2 + 1)) - ((x + 1) mod (2 + 2))) <= 0 then 1 else 0)))
A048686: 1 2 2 3 3 4 4 4 4 6 6 6 7 8 8 9
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x div (2 + 2)) + 1) else 0)
A134402: 1 0 1 0 0 2 0 0 0 3 0 0 0 0 4 0
(if (x mod 2) <= 0 then (((((x * x) + (x div 2)) div (2 + 1)) + 1) mod (2 + 1)) else 0)
A091394: 1 0 2 0 1 0 2 0 2 0 0 0 0 0 2 0
(if (x mod (2 + 1)) <= 0 then ((((x div 2) mod ((2 + 2) + 1)) - 2) mod (2 + 1)) else 0)
A023670: 1 0 0 2 0 0 1 0 0 2 0 0 2 0 0 0
loop(\(x,i).((((x - 1) div 2) mod (2 + 2)) + (((x * 2) * 2) * 2)),(x + 1),0)
A037664: 3 25 200 1603 12825 102600 820803 6566425 52531400 420251203 3362009625 26896077000 215168616003 1721348928025 13770791424200 110166331393603
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + ((i + 1) mod (2 + 2))),(x + 1),0)
A037749: 2 21 189 1702 15320 137883 1240947 11168524 100516718 904650465 8141854185 73276687666 659490188996 5935411700967 53418705308703 480768347778328
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + ((i + 1) mod (2 + 2))),(x + 1),0)
A037747: 2 17 119 834 5840 40883 286181 2003268 14022878 98160149 687121043 4809847302 33668931116 235682517815 1649777624705 11548443372936
(((((2 - (x - (((x * 2) * 2) * 2))) * 2) + 1) * 2) + (if x <= 0 then 1 else 0))
A063146: 11 38 66 94 122 150 178 206 234 262 290 318 346 374 402 430
((((((x * 2) * (2 + 1)) + 2) - (x div (2 + 1))) * 2) + (if x <= 0 then 1 else 0))
A063135: 5 16 28 38 50 62 72 84 96 106 118 130 140 152 164 174
(((((((2 + 2) + 1) * x) + 2) - (x div (2 + 1))) * 2) + (if x <= 0 then 1 else 0))
A063238: 5 14 24 32 42 52 60 70 80 88 98 108 116 126 136 144
((((x - (((x div 2) + 2) * (x mod (2 + 1)))) div 2) mod 2) - (if x <= 0 then 1 else 0))
A176890: ~1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1
(if (2 - x) <= 0 then (1 - (((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2)) else 0)
A173950: 0 0 1 ~1 1 ~1 1 ~1 1 1 ~1 ~1 1 ~1 1 1
(1 - (if (((x + 1) * 2) mod (((((x + 1) div 2) div 2) + 2) + 2)) <= 0 then 2 else 0))
A110515: 1 ~1 1 1 ~1 1 1 1 ~1 1 1 1 1 ~1 1 ~1
loop(\(x,i).(x + 1),((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) - 2),0)
A048154: 0 1 0 1 2 0 1 0 3 0 1 3 2 4 0 1
(if (x mod (2 + 1)) <= 0 then ((2 - (x mod ((x div ((x mod 2) + 2)) + 2))) div 2) else 0)
A016354-A016329-A016151-A015647-A015395-A014027: 1 0 0 1 0 0 0 0 0 ~1 0 0 ~1 0 0 0
(x - (if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then (1 - ((2 + 2) * 2)) else 0))
A325693: 0 1 2 3 4 5 13 7 8 9 10 11 12 20 14 15
loop(\(x,i).((((x div 2) - ((x mod 2) * 2)) mod (((2 + 2) * 2) + 1)) + 1),x,0)
A021058: 0 1 8 5 1 8 5 1 8 5 1 8 5 1 8 5
loop(\(x,i).(x - ((((x div 2) + 1) div 2) - (((x * 2) div (2 + 1)) + 1))),x,0)
A200310: 0 1 2 3 5 8 12 18 26 37 53 76 108 154 218 309
((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) + loop(\(x,i).((x * 2) + 1),x,0))
A281166: 1 1 3 8 17 33 64 127 255 512 1025 2049 4096 8191 16383 32768
((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) + loop(\(x,i).((x * 2) + 1),x,0))
A097911: 1 3 5 8
A141775: 1 3 5 8 15 31 64 129 257 512 1023 2047 4096 8193 16385 32768
loop(\(x,i).((2 - (((x + 2) div (2 - (x mod ((0 - 2) - 2)))) mod 2)) + x),x,0)
A292868: 0 1 3 4 5 6 8 9 11 13 14 16 17 18 19 20
((((x + 1) * 2) * (2 + 1)) - (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 1))
A189938: 5 11 17 23 30 35 41 47 53 60 65 71 77 83 90 95
(if ((x mod (((1 - x) mod (2 + 2)) + ((2 + 1) * 2))) mod (2 + 1)) <= 0 then 0 else 1)
A094217: 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1
((if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then (((2 + 2) + 1) * 2) else 0) + 1)
A109014: 11 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x mod (((2 + 2) + 1) * 2)) else 0) + 1)
A094635: 1 1 1 1 5 1 1 1 1 10 1 1 1 1 5 1
(((((x + 1) * 2) * (2 + 1)) + x) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))
A105452: 2 13 20 9 34 41 16 55 62 23 76 83 30 97 104 37
(((x * 2) + 1) div ((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0) + 1))
A096431: 1 3 1 7 9 11 13 3 17 19 21 23 5 27 29 31
(loop(\(x,i).((((x * 2) div (((x mod (2 + 1)) * 2) + 1)) + x) + 1),x,0) + 1)
A297180: 1 2 3 4 11 18 25 74 123 172 515 858 1201 3602 6003 8404
(((x - 1) mod ((x mod ((x div ((2 + 2) + 1)) + 2)) + 1)) + (if x <= 0 then 0 else 1))
A343407: 0 1 1 1 1 2 1 1 2 1 1 3 1 1 2 1
((x mod (((((0 - x) * x) mod ((x div 2) + 2)) div 2) + 1)) + (if x <= 0 then 0 else 1))
A277315: 0 1 1 1 1 2 1 1 1 2 2 3 1 2 1 1
(((((x - ((x div 2) mod 2)) div ((x mod 2) + 2)) mod 2) + 1) + (if x <= 0 then 0 else 1))
A278293: 1 2 2 2 2 3 2 2 2 3 2 3 2 2 2 2
((((((x * x) div 2) div ((2 + 2) + 1)) + 2) div (2 + 1)) + (if x <= 0 then 0 else 1))
A164066-A053251: 0 1 1 1 2 2 2 3 3 4 5 5 6 7 8 9
((((x + 1) mod (((x + 1) div ((2 + 2) + 1)) + 1)) mod 2) + (if x <= 0 then 0 else 1))
A023518: 0 1 1 1 2 1 2 1 2 2 1 1 2 1 2 1
((((x * 2) div (((x + 1) div ((2 + 2) + 1)) + 1)) mod 2) + (if x <= 0 then 0 else 1))
A060500: 0 1 1 1 1 2 1 2 1 1 1 2 1 1 2 2
(((x mod (2 - (x div (((x div 2) mod (2 + 1)) + 1)))) mod 2) + (if x <= 0 then 0 else 1))
A302790: 0 1 1 1 1 1 1 2 1 2 1 1 1 2 2 1
(((x mod ((((2 - x) * (x div 2)) div (2 + 1)) - 1)) mod 2) + (if x <= 0 then 0 else 1))
A054740: 0 1 1 2 1 2 1 2 2 1 2 2 2 1 2 2
(((((((x - 1) * x) div (x + 2)) * 2) div (2 + 1)) * 2) + (if x <= 0 then 0 else 1))
A157966: 0 1 1 1 3 3 5 5 7 9 9 11 13 13 15 17
((x div (((((2 - x) mod (2 + 2)) + 1) mod (x + 1)) + 2)) + (if x <= 0 then 0 else 1))
A231205: 0 1 1 2 1 2 3 2 2 3 4 2
(((((((2 + 1) * x) mod ((x div 2) + 2)) + 1) div 2) div 2) + (if x <= 0 then 0 else 1))
A319443-A124767: 0 1 1 1 1 2 2 1 1 2 1 2 2 3 2 1
(((((((x div (2 + 1)) * (2 - x)) div 2) + 1) div 2) mod 2) + (if x <= 0 then 0 else 1))
A091221: 0 1 1 1 1 2 1 1 2 2 1 2 1 2 1 1
(((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2) + (if x <= 0 then 0 else 1))
A091954: 0 1 1 1 1 2 1 1 2 2 1 2 1 2 3 1
((((((((2 + 2) + 1) * x) + 2) * 2) - (x div 2)) * 2) - (if x <= 0 then 0 else 1))
A063142: 8 27 45 65 83 103 121 141 159 179 197 217 235 255 273 293
((((x * x) div (((((2 + 2) * 2) * 2) * 2) - x)) mod 2) + (if x <= 0 then 0 else 1))
A251138: 0 1 1 1 1 1 2 2 1 2 1 2 2 1 1 2
((x mod ((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 0) + 1)) + 1)
A181937: 1 1 1 1 1 1 1 1 1 2 1 1 1 1 5 1
(((x div 2) mod ((if (x mod 2) <= 0 then ((x + 2) div ((2 + 2) + 1)) else 1) + 1)) + 1)
A286569: 1 1 1 2 1 1 2 2 2 1 3 2 1 1 4 2
(((if (x mod 2) <= 0 then 1 else x) mod ((x mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1)
A191373: 1 1 1 1 1 2 1 2 1 2 2 3 1 2 2 4
(((x * 2) div (loop(\(x,i).i,(x mod (((2 - x) mod (2 + 2)) + 1)),1) + 1)) + 1)
A254503: 1 2 3 2 5 6 7 4 6 10 11 6 13 14 15 8
(if (2 - (x div 2)) <= 0 then ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1) else 1)
A345942: 1 1 1 1 1 2 1 4 3 2 1 4 1 2 3 4
((x mod ((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1)
A295666: 1 1 1 2 1 1 1 4 3 1 1 4 1 1 1 4
((x div ((x mod ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1)
A085731: 1 1 1 4 1 1 1 4 3 1 1 4 1 1 1 16
((x div ((x mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1)) + 1)
A343249-A327656: 1 1 3 1 5 3 7 1 9 5 11 3 13 7 5 1
((x div ((x mod ((loop(\(x,i).((i + x) + x),x,0) mod (x + 1)) + 1)) + 1)) + 1)
A336650: 1 1 3 1 5 3 7 1 9 5 11 3 13 7 3 1
((x mod ((x mod ((loop(\(x,i).((x + 1) * i),x,0) mod (x + 1)) + 1)) + 1)) + 1)
A248666: 1 2 1 4 5 2 1 4 1 10 1 4 13 2 5 4
(((x + 2) mod ((if ((x mod (((2 + 1) * 2) + 1)) - 1) <= 0 then 2 else 1) + 1)) - 1)
A316441: 1 ~1 ~1 0 ~1 0 ~1 ~1 0 0 ~1 0 ~1 0 0 1
((x div (2 - (x div (((x mod 2) - (if (x mod (2 + 1)) <= 0 then 2 else 1)) - 1)))) + 1)
A068108: 1 1 1 1 2 1 2 1 2 2 2 1 3 1 2 2
(x - ((((x div 2) * x) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1)) - 1))
A070321: 1 2 3 3 5 6 7 7 7 10 11 11 13 14 15 15
loop(\(x,i).i,(((x + 1) * x) mod (x - ((x mod (((2 + 2) * 2) + 1)) - 1))),1)
A298782: 1 1 1 1 1 1 1 1 1 1 1 2 6 2 1 1
((x div 2) mod ((if (x mod 2) <= 0 then ((x - 1) mod ((x div (2 + 2)) + 1)) else 1) + 1))
A064874: 0 0 0 1 0 0 1 1 0 0 0 1 2 0 1 1
((x * 2) div (((x + 1) div loop(\(x,i).i,(x mod ((x div (2 + 2)) + 1)),1)) + 1))
A046929: 0 0 1 1 1 1 1 1 3 1 1 3 1 1 3 5
loop(\(x,i).(x * 2),x,((x div ((2 mod ((x mod ((x mod 2) + 2)) + 1)) + 1)) + 1))
A090634: 1 4 12 32 80 64 448 1024 2304 5120 11264 8192 53248 114688 245760 524288
((x mod (((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) * (2 + 1)) + 1)) + 1)
A078978: 1 2 3 4 1 2 3 1 1 2 3 4 1 2 3 2
(((x + 2) mod (((x - (if ((x div 2) - 2) <= 0 then 2 else 1)) mod (2 + 1)) + 1)) + 1)
A095374: 1 1 1 2 1 1 3 1 1 3 1 2 3 1 1 3
loop(\(x,i).i,(((((x * 2) + 1) * 2) * 2) mod (((x + 1) div (2 + 1)) + 1)),1)
A274468: 1 1 1 1 1 2 1 1 1 1 1 2 1 3 2 4
loop(\(x,i).(x * 2),(x - ((((((x * x) - 1) div 2) * 2) mod (2 + 1)) - 1)),1)
A007361: 1 4 2 4 8 64 64 256
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * (2 + 1)) - 1)) + 1)
A199691: 12 111 1101 11001 110001 1100001 11000001 110000001 1100000001 11000000001 110000000001 1100000000001 11000000000001 110000000000001 1100000000000001 11000000000000001
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * (2 + 1)) - 1)) - 1)
A198700: 10 109 1099 10999 109999 1099999 10999999 109999999 1099999999 10999999999 109999999999 1099999999999 10999999999999 109999999999999 1099999999999999 10999999999999999
(loop(\(x,i).(x div ((x mod 2) + 1)),2,((((x mod 2) + x) div (2 + 1)) + 1)) + 1)
A127197: 1 1 1 3 3 1 1 1 1 5 5 3 3 3 3 7
((loop(\(x,i).(x * x),2,(((x + 2) + 2) + 2)) mod ((x div (2 + 1)) + 1)) + 1)
A317994: 1 1 1 2 1 2 1 2 2 2 1 2 2 2 1 4
((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1)
A007913: 1 2 3 1 5 6 7 2 1 10 11 3 13 14 15 1
(loop(\(x,i).(i * x),(((((x * x) * x) div (2 + 1)) + (x mod 2)) + 1),1) + 1)
A201363: 2 3 7
A088332: 2 3 7 39916801 4611686018427387903 4611686018427387903 4611686018427387903
(x div (((x - 1) mod ((if (x mod ((x mod (2 + 2)) + 1)) <= 0 then x else 1) + 1)) + 1))
A093411: 0 1 1 3 1 5 1 7 1 9 5 11 1 13 7 15
(((x - 1) mod ((loop(\(x,i).((x + 1) * (2 + 1)),x,0) mod (x + 1)) + 1)) + 1)
A335341: 1 1 1 3 1 1 1 7 4 1 1 3 1 1 1 15
((x mod (((loop(\(x,i).(((x * 2) + 1) * x),2,2) - 1) mod (x + 1)) + 1)) + 1)
A165743: 1 2 3 2 5 6 7 2 3 10 1 6 1 14 15 2
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013813: 8000 1280000000 204800000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013803: 3375 170859375 8649755859375 437893890380859375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013809: 5832 612220032 64268410079232 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013821: 13824 4586471424 1521681143169024 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(((2 + 2) * (x + 1)) - 1),1)
A013801: 2744 105413504 4049565169664 155568095557812224 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013799: 2197 62748517 1792160394037 51185893014090757 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013795: 1331 19487171 285311670611 4177248169415651 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013807: 4913 410338673 34271896307633 2862423051509815793 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x + 2) * x) mod (((1 - loop(\(x,i).(x * 2),x,2)) mod (x + 1)) + 1)) + 1)
A182816: 1 2 3 2 5 4 7 2 3 4 11 4 13 4 9 2
(x mod (if (x mod (2 + 1)) <= 0 then ((x + 2) mod (((2 + 2) * (0 - 2)) - 1)) else 1))
A088194: 0 0 0 ~1 0 0 0 0 0 ~5 0 0 0 0 0 0
loop(\(x,i).(((x + 1) * 2) + 1),((((x div (2 + 2)) * (2 + 1)) div 2) - 1),1)
A290854: 1 1 1 1 1 1 1 1 13 13 13 13 29 29 29 29
((loop(\(x,i).(((x + 2) * (2 + 1)) + 2),x,0) div (((2 + 1) * 2) + 1)) + 1)
A139782: 1 2 5 15 46 139 417 1250 3749 11247 33742 101227 303681 911042 2733125 8199375
(2 div (((if (x - 1) <= 0 then 1 else ((0 - x) - 1)) mod (((2 + 1) * 2) + 1)) + 1))
A332007: 1 1 0 0 0 1 2 0 0 0 0 0 1 2 0 0
loop(\(x,i).(x * 2),(((((x + 1) div 2) div 2) div 2) * (((2 + 1) * 2) + 1)),1)
A248773: 1 1 1 1 1 1 1 128 128 128 128 128 128 128 128 16384
(((2 + 2) + 1) mod (((x + 1) mod (if (2 - x) <= 0 then ((2 + 1) * 2) else 1)) + 1))
A316568: 0 0 1 0 5 0 1 2 1 0 5 0 1 2 1 0
((((x + 2) + 1) mod ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 1)) * 2) + 1)) + 1)
A100833: 1 2 3 1 2 4 1 2 3 1 2 5 1 2 3 1
(((x div ((2 + 2) + 1)) div ((if (x mod 2) <= 0 then (x mod (2 + 1)) else 2) + 1)) + 1)
A185147: 1 1 1 1 1 1 2 1 1 1 2 1 3 1 1 2
((x mod ((x mod ((loop(\(x,i).((i + x) * 2),x,1) mod (x + 1)) + 2)) + 1)) + 1)
A132741: 1 2 1 4 5 2 1 8 1 10 1 4 1 2 5 16
loop(\(x,i).i,((x + 2) mod (((((((x + 1) div 2) div 2) + 1) div 2) * 2) + 1)),1)
A050412: 1 1 1 2 1 1 2 1 1 2 1 3 4 1 1 2
((if (x mod 2) <= 0 then (x div ((((x div 2) mod ((2 + 2) + 1)) + 2) * 2)) else 1) + 1)
A330721: 1 2 1 2 1 2 1 2 1 2 3 2 3 2 2 2
(((x + 1) div ((x mod ((x div (if ((x div 2) - 2) <= 0 then 1 else 2)) + 2)) + 1)) + 1)
A247869: 2 2 2 2 2 2 4 3 4 3 3 3 3 3 3 3
(((x - 1) div 2) mod ((if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then 2 else 1) + 1))
A151692: 1 0 0 1 1 0 0 1 1 0 1 2 1 0 0 1
(if (2 - x) <= 0 then (x div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) else 1)
A090379: 1 1 0 0 1 0 2 1 1 1 3 1 4 2 2 2
((x - 1) mod (if x <= 0 then 2 else ((x div ((((x mod (2 + 1)) + 2) * 2) + 1)) + 1)))
A005813: 1 0 0 0 0 0 1 0 0 0 1 0 2 0 1 2
(x div (((x + 2) div ((if (x mod 2) <= 0 then ((x mod (2 + 1)) div 2) else 2) + 1)) + 1))
A037281: 0 0 0 1 0 1 0 1 1 2 0
A247977: 0 0 0 1 0 1 0 1 1 2 0 2 0 2 1 2
(2 div (((x + 1) mod ((((if (x mod (2 + 1)) <= 0 then 1 else 2) + 2) + 2) + 1)) + 1))
A017847: 1 0 0 0 0 0 1 1 0 0 0 0 1 2 1 0
loop(\(x,i).(i * x),((((x - 1) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1),1)
A273730: 1 1 1 1 1 2 1 1 1 6 1 1 1 2 24 1
((loop(\(x,i).(((i + 2) * i) + x),(x + 1),0) div (((2 + 2) * 2) + 1)) + 1)
A056178: 1 2 3 6 10 15 22 31 42 56 71 90 112 137 165 197
(((loop(\(x,i).((x + 2) * 2),(x + 2),2) + 1) * (((2 + 2) * 2) + 1)) - 1)
A099945: 188 404 836 1700 3428 6884 13796 27620 55268 110564 221156 442340 884708 1769444 3538916 7077860
(if x <= 0 then 0 else ((((((x + 1) * x) div 2) - 1) mod (((2 + 2) * 2) + 1)) + 1))
A145389: 0 1 3 6 1 6 3 1 9 9 1 3 6 1 6 3
((loop(\(x,i).((x - (i - 1)) * x),2,(x + 2)) * (((2 + 2) * 2) + 1)) - 1)
A069759: 107 647 2159 5399 11339 21167 36287 58319 89099 130679 185327 255527 343979 453599 587519 749087
(2 div (((if (x mod ((2 + 2) * 2)) <= 0 then 1 else x) mod (((2 + 2) * 2) + 1)) + 1))
A219481: 1 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(((2 + 2) * 2) + 1)) + 1)
A199763: 10 100 1090 11980 131770 1449460 15944050 175384540 1929229930 21221529220 233436821410 2567805035500 28245855390490 310704409295380 3417748502249170 37595233524740860
(loop(\(x,i).((x - (((2 + 1) * 2) + 1)) * x),x,(((2 + 2) * 2) + 1)) + 1)
A110368: 10 19 199 37819 1429936399 2044718092315659619 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x mod ((((2 - x) * 2) mod ((x div (2 + 2)) + 2)) + 1)),1)
A140218: 1 1 1 1 2 1 1 2 1 1 1 4 1 2 1 1
loop(\(x,i).(x * x),1,((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1))
A093995: 1 4 4 9 9 9 16 16 16 16 25 25 25 25 25 36
loop(\(x,i).((2 + 1) * x),(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)),1)
A098355: 1 3 3 9 9 9 27 27 27 27 81 81 81 81 81 243
loop(\(x,i).((i + 1) * x),(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)),1)
A130493: 1 2 2 6 6 6 24 24 24 24 120 120 120 120 120 720
(x - (if x <= 0 then 0 else ((x mod (((x - 1) mod (((x div 2) + 2) + 2)) + 1)) + 1)))
A261914: 0 0 1 2 3 4 5 6 7 8 9 9 11 11 11 11
((if x <= 0 then 2 else (x div ((x div (((x div 2) mod ((x mod 2) + 2)) + 2)) + 1))) - 1)
A190164: 1 0 1 0 0 1 1 0 0 1 1 2 0 0 1 1
(((if ((x - 2) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1) * ((2 + 2) + 1)) - 1)
A202388: 4 4 9 4 4 4 4 4 4 4 4 4 4 4 9 4
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) + 1))
A222011: 1 2 4 8
A036130: 1 2 4 8 16 32 3 6 12 24 48 35 9 18 36 11
(if (x mod (2 + 1)) <= 0 then 1 else ((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) - 1))
A273183: 1 59 59 1
(loop(\(x,i).(x * 2),x,1) mod ((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) - 1))
A222011: 1 2 4 8
A036129: 1 2 4 8 16 32 5 10 20 40 21 42 25 50 41 23
((loop(\(x,i).(x * x),1,((((x - 2) * x) div 2) - 1)) div ((2 + 2) + 1)) + 1)
A309088: 1 1 1 1 2 8 25
((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + 1) mod ((2 + 2) + 1)) + 1)
A106652: 2 3 4 5 1 2 3 4 5 3 4 5 1 2 3 4
((if x <= 0 then 1 else (x * 2)) - ((x - 1) mod (((x + 1) div ((2 + 2) + 1)) + 1)))
A274431: 1 2 4 6 7 10 11 14 15 16 20 21 22 26 27 28
(((if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 0 else 2) * ((2 + 2) + 1)) + 1)
A084066: 1 11 11 11 11 11 11 11 11 11 11 1 11 11 11 11
loop(\(x,i).(x * x),1,(((x * 2) - ((x div (0 - 2)) * ((2 + 2) + 1))) + 1))
A061099: 1 64 100 289 361 676 784 1225 1369 1936 2116 2809 3025 3844 4096 5041
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070344: 1 3 9 27 23 11 4 12 7 21 5 15 16 19 28 26
((if ((x div (2 + 1)) - 2) <= 0 then x else (((x + 1) * 2) * ((2 + 2) + 1))) + 1)
A056525: 1 2 3 4 5 6 7 8 9 101 111 121 131 141 151 161
(((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) * 2) div ((2 + 2) + 1)) + 1)
A336161-A336160: 1 1 2 1 3 2 3 1 4 3 5 2 6 3 7 1
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070361: 1 3 9 27 40 38 32 14 1 3 9 27 40 38 32 14
(if (x mod 2) <= 0 then (x div 2) else (((((x * 2) * 2) * 2) div ((2 + 2) + 1)) + 1))
A082010: 0 2 1 5 2 9 3 12 4 15 5 18 6 21 7 25
(((if (((x div 2) * x) mod ((2 + 1) * 2)) <= 0 then x else 2) div ((2 + 2) + 1)) + 1)
A259342: 1 1 1 1 1 1 2 1 1 2 1 1 3 3 1 1
((loop(\(x,i).(((((x + 2) * 2) * 2) + x) * 2),x,2) * ((2 + 2) + 1)) + 1)
A205088: 11 181 1881 18881 188881 1888881 18888881 188888881 1888888881 18888888881 188888888881 1888888888881 18888888888881 188888888888881 1888888888888881 18888888888888881
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) div (((x * 2) mod ((2 + 2) + 1)) + 1))
A321445: 1 0 0 0 0 1 0 0 0 0 2 0 0 1 0 2
((if x <= 0 then 1 else 2) div (((((x mod 2) * x) - (x div 2)) mod ((2 + 2) + 1)) + 1))
A219496: 1 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0
((x - 1) mod ((if x <= 0 then 1 else (((x div (2 + 1)) + x) div ((2 + 2) + 1))) + 1))
A289871: 1 0 0 0 1 0 1 0 1 2 0 1 3 0 1 4
loop(\(x,i).((2 + 1) * x),(x - (((x * x) * (1 - x)) div ((2 + 2) + 1))),1)
A051576: 1 3 27 2187 4782969 847288609443 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x mod 2) - 2) mod ((((if (x mod 2) <= 0 then x else 1) + x) div ((2 + 2) + 1)) + 1))
A308450: 0 0 0 0 0 1 1 1 2 2 3 2 3 2 4 3
((loop(\(x,i).((((2 + 1) * x) + 2) * 2),(x + 1),x) div ((2 + 2) + 1)) + 1)
A014918: 1 13 121 985 7465 54121 380713 2620201 17736745 118513705 783641641 5137206313 33435376681 216285092905 1391747554345 8914707307561
loop(\(x,i).((x * x) * (x * 2)),1,((((x + 1) * x) * ((2 + 2) + 1)) + 1))
A109119: 2 2662 59582 453962 2060602 6885902 18787862 44376082 94091762 183467702 334568302 577609562 952759082 1512116062 2321871302 3464647202
(loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) + 1) * 2),x,((2 + 2) + 1)) - 1)
A117644: 4 45 369 2961 23697 189585 1516689 12133521 97068177 776545425 6212363409 49698907281 397591258257 3180730066065 25445840528529 203566724228241
((((if ((x div 2) - 2) <= 0 then 1 else 0) + ((x + 2) * x)) div ((2 + 2) + 1)) + 1)
A085577: 1 1 2 4 6 8 10 13 17 20 25 29 34 40 45 52
(if (x mod (2 + 1)) <= 0 then 1 else (((x + 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)))
A029319: 1 0 0 1 0 0 1 0 1 1 1 2 1 1 2 1
(if ((x + 1) mod (2 - (x div ((0 - 2) - 2)))) <= 0 then (x mod ((2 + 2) + 1)) else 1)
A059342: 1 1 2 1 1 1 1 2 1 4 1 1 1 1 1 1
((loop(\(x,i).((x * x) * x),(x + 1),2) * (((0 - x) mod (2 + 2)) + 1)) - 1)
A056235: 7 2047 402653183 4611686018427387903 4611686018427387903
((x + 1) div ((if (x mod (2 + 1)) <= 0 then 2 else (x div ((x div (2 + 2)) + 1))) + 1))
A077774: 0 1 1 1 1 2 2 2 3 3 2 3 4 3 3 5
(((if (x mod 2) <= 0 then ((x div 2) mod 2) else (2 + 1)) * ((x mod (2 + 2)) + 1)) + 1)
A070406: 1 7 4 13 1 7 4 13 1 7 4 13 1 7 4 13
(if x <= 0 then 0 else ((x mod (((((x mod ((x mod 2) + 2)) + x) div 2) * 2) - 1)) + 1))
A107286: 0 1 1 1 2 1 2 1 2 3 2 1 2 1 2 3
((((x + 2) * x) mod ((((2 + 1) * 2) + 1) * (if (x - 2) <= 0 then 2 else 1))) + 1)
A254159: 1 4 9 2 4 1
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),(((x * 2) * 2) + 1),1)
A013814: 21 4084101 794280046581 154472377739119461 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),(((x * 2) * 2) + 1),1)
A013816: 22 5153632 1207269217792 282810057883082752 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(((x * 2) * 2) + 1),1)
A013810: 19 2476099 322687697779 42052983462257059 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),(((x * 2) * 2) + 1),1)
A013818: 23 6436343 1801152661463 504036361936467383 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x div 2) div ((x mod ((if ((x mod (2 + 1)) - 1) <= 0 then (x div 2) else 2) + 1)) + 1))
A243223: 0 0 0 0 1 0 1 0 1 0 1 1 1 0 2 0
((loop(\(x,i).(x * 2),x,2) - 1) div ((2 mod ((x mod ((x mod 2) + 2)) + 1)) + 1))
A090633: 1 3 7 15 31 21 127 255 511 1023 2047 1365 8191 16383 32767 65535
(loop(\(x,i).(((x * 2) * 2) * 2),((x div 2) + 1),(((x mod 2) * 2) + 1)) + 1)
A209530: 9 25 65 193 513 1537 4097 12289 32769 98305 262145 786433 2097153 6291457 16777217 50331649
(((x - (if (((x div (2 + 1)) - 1) mod (2 + 2)) <= 0 then 1 else 0)) mod (2 + 1)) + 1)
A204259: 1 2 3 3 1 2 1 2 3 1 2 3 1 2 3 3
((((if (x mod (((x mod (2 + 2)) + 2) + 2)) <= 0 then x else 0) + 1) mod (2 + 1)) + 1)
A194286: 2 2 2 2 3 1 2 3 1 2 2 2 2 2 2 2
((((x + 2) div ((((if x <= 0 then 1 else x) + 1) mod (2 + 1)) + 1)) mod (2 + 1)) + 1)
A188817: 1 2 2 3 3 2 2 1 2 3 2 2 2 3 2 3
((loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + 1),(x + 1),1) mod (2 + 1)) - 1)
A014240: 1 ~1 0 1 ~1 0 1 0 ~1 1 0 0 0 0 1 ~1
((loop(\(x,i).((i + 2) * x),x,(((2 + 2) * (x + 1)) - 1)) div (2 + 1)) + 1)
A308599: 2 8 45 301 2281 19321 181441 1874881 21168001 259459201 3432844801 48778329601 741015475201 11987015040001 205740767232001 3734717995008001
(((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then (x - 1) else 1) mod (2 + 1)) - 1)
A154269: 1 ~1 0 1 0 0 0 ~1 0 0 0 0 0 0 0 1
(if x <= 0 then 2 else (((x mod (((((x mod 2) * 2) + 1) * 2) + 1)) div (2 + 1)) + 1))
A207668: 2 1 1 2 1 2 1 1 1 1 1 2 1 3 1 1
((loop(\(x,i).(x * 2),x,2) - (((x div ((x mod 2) - 2)) + 1) mod (2 + 1))) + 1)
A130752: 2 5 9 16 31 63 128 257 513 1024 2047 4095 8192 16385 32769 65536
(((((if (x - 2) <= 0 then 0 else (x * x)) * (x - 1)) div (2 + 1)) mod (2 + 1)) + 1)
A093557: 1 1 1 1 2 1 1 3 3 1 1 2 1 2 1 1
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070346: 1 3 9 27 7 21 26 4 12 36 34 28 10 30 16 11
(loop(\(x,i).((2 + 1) * x),x,1) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A070345: 1 3 9 27 11 33 29 17 16 13 4 12 1 3 9 27
loop(\(x,i).(x * 2),x,(((((x + 2) * x) * ((x * 2) - 1)) div (2 + 1)) - 1))
A167581: ~1 0 28 192 880 3328 11200 34816 102144 286720 777216 2048000 5271552 13303808 33013760 80740352
(((loop(\(x,i).((i - ((x div 2) mod 2)) + 2),x,0) * (x + 1)) mod (2 + 1)) + 1)
A002636: 1 1 1 2 1 1 2 2 1 2 2 1 3 2 1 2
(((loop(\(x,i).(((i + x) * x) + 2),2,(2 + 1)) mod (x + 1)) div (2 + 1)) + 1)
A126347: 1 1 1 1 1 2 1 1 1 3 3 4 2 1 1 1
(((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) + 1)
A320266: 1 1 1 2 1 2 1 3 2 2 1 4 1 2 2 6
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) * (2 + 1)) - 1)
A086943: 23 293 2993 29993 299993 2999993 29999993 299999993 2999999993 29999999993 299999999993 2999999999993 29999999999993 299999999999993 2999999999999993 29999999999999993
((((if (x - 2) <= 0 then x else (2 - (x div ((0 - 2) - 1)))) * 2) div (2 + 1)) + 1)
A130822: 1 1 2 3 3 3 3 4 4 4 5 5 5 5 5 5
((x div 2) - (if x <= 0 then 0 else (((((x + 1) div (2 + 1)) * 2) div (2 + 1)) - 1)))
A076223: 0 1 2 2 3 2 3 3 3 3 4 4 5 5 5 5
(((loop(\(x,i).((x * 2) - 1),x,((2 + 2) * (2 + 1))) * 2) * (2 + 1)) + 1)
A196655: 73 139 271 535 1063 2119 4231 8455 16903 33799 67591 135175 270343 540679 1081351 2162695
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070395: 1 6 17 7 4 5 11 9 16 1 6 17 7 4 5 11
((((if (x - 2) <= 0 then 0 else (2 - ((1 - x) div (2 + 1)))) * 2) div (2 + 1)) + 1)
A147752: 1 1 1 3 3 3 3 3 4 4 4 5 5 5 5 5
loop(\(x,i).(x * x),(2 + 1),(x - (((((x * 2) + 1) * 2) * (2 + 1)) + 1)))
A017480: 5764801 11019960576 500246412961 6553600000000 45767944570401 218340105584896 806460091894081 2478758911082496 6634204312890625 15938480745308416 35114532758015841 72057594037927936 139353667211683681 256289062500000000 451447246258894081
((loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),(x + 1),2) * (2 + 1)) + 1)
A137146: 76 766 7666 76666 766666 7666666 76666666 766666666 7666666666 76666666666 766666666666 7666666666666 76666666666666 766666666666666
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016973: 3125 161051 1419857 6436343 20511149 52521875 115856201 229345007 418195493 714924299 1160290625 1804229351 2706784157 3939040643 5584059449 7737809375
loop(\(x,i).(x * 2),(x - (((((2 - x) * x) * (x - 1)) div 2) div (2 + 1))),1)
A218148: 1 2 4 16 256 32768 67108864 4398046511104 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x - ((((x div (2 + 1)) * 2) * 2) div (2 + 1))),1)
A125824: 1 3 9 9 27 81 81 243 729 243 729 2187 2187 6561 19683 19683
((((x mod ((if (x mod ((2 + 2) * 2)) <= 0 then x else 1) + 2)) div 2) * (2 + 1)) + 1)
A080278: 1 1 4 1 1 4 1 1 13 1 1 4 1 1 4 1
(((((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2) * 2) div (2 + 1)) + 1)
A324537: 1 1 1 1 1 2 1 1 1 3 1 4 1 5 3 1
(((loop(\(x,i).((x * 2) * (x + 1)),((x * x) + 1),2) + 2) * (2 + 1)) - 1)
A091314: 41 941 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070364: 1 3 9 27 34 8 24 25 28 37 17 4 12 36 14 42
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A036121: 1 5 2 10 4 20 8 17 16 11 9 22 18 21 13 19
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + ((x * 2) * 2)) * 2) div (2 + 1)) + 1)
A080902: 1 4 7 9 12 15 18 21 23 26 29 31 34 37 39 42
((loop(\(x,i).((x - i) * x),2,(x - 1)) div 2) div (((2 + 2) * (2 + 1)) + 1))
A011936: 0 0 0 0 0 4 13 32 64 116 193 304 456 660 924 1260
((loop(\(x,i).((x * x) * x),2,x) * (x * x)) mod (((2 + 2) * (2 + 1)) + 1))
A167628: 0 1 7 9 10 8 11 2 5 3 4 6 12 0 1 7
((loop(\(x,i).((x - i) * x),2,(x - 1)) div 2) div (((2 + 2) * (2 + 1)) - 1))
A011932: 0 0 0 0 1 5 16 38 76 137 229 360 540 780 1092 1489
((if (x mod 2) <= 0 then ((x + 2) * (x + 2)) else 2) div (((2 + 2) * (2 + 1)) - 1))
A049689: 0 0 1 0 3 0 5 0 9 0 13 0 17 0 23 0
(loop(\(x,i).(x * 2),(x div 2),(2 - (x mod 2))) * (((2 + 2) * (2 + 1)) - 1))
A108732: 22 11 44 22 88 44 176 88 352 176 704 352 1408 704 2816 1408
((loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x) * (((2 + 2) * (2 + 1)) - 1))
A080195: 11 22 33 44 55 66 77 88 99 110 121 132 154 165 176 198
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x) * (((2 + 2) * (2 + 1)) - 1))
A068900: 11 22 33 44 55 66 77 88 99 121 132 143 154 165 176 187
(((loop(\(x,i).((((i mod 2) + x) + 2) * 2),x,(x + 2)) div 2) div (2 + 1)) + 1)
A175656: 1 3 6 14 30 66 142 306 654 1394 2958 6258 13198 27762 58254 121970
loop(\(x,i).(x - ((((x * 2) * 2) * 2) - 1)),(((x * 2) * 2) * (2 + 1)),1)
A015430: 1 12111126301 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * (2 + 1))),(((x * 2) * 2) * (2 + 1)),1)
A015436: 1 8230246567621 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((2 + 1) * x) * (2 + 1))),(((x * 2) * 2) * (2 + 1)),1)
A015432: 1 254186582833 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - ((((2 + 2) + 1) * x) * 2)),(((x * 2) * 2) * (2 + 1)),1)
A015433: 1 909090909091 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017537: 1 371293 9765625 69343957 282475249 844596301 2073071593 4437053125 8587340257 15386239549 25937424601 41615795893 64097340625 95388992557 137858491849 194264244901
(((loop(\(x,i).((x + 2) * x),1,((x div 2) - (x mod 2))) div 2) div (2 + 1)) + 1)
A029138: 1 0 1 1 2 1 3 2 5 3 6 5 9 6 11 9
((((loop(\(x,i).(((x * x) + 1) * 2),(x - 2),1) + x) * 2) * (2 + 1)) - 1)
A171713: 5 11 17 41 227
(((loop(\(x,i).(x - (2 - ((x div (2 + 2)) mod 2))),2,x) * 2) mod (2 + 1)) + 1)
A129979: 1 3 3 2 3 1 3 2 2 1
((if x <= 0 then 1 else (x - ((1 - ((((x + 2) + 2) * x) div 2)) div (2 + 1)))) - 1)
A046992: 0 1 3 5 8 11 15 19 23 27 32 37 43 49 55 61
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) * 2) mod (2 + 1)) + 1)
A276988: 1 3 1 2 1 2 1 2 1 1 2 2 1 2 1 1
(x mod (if (((x + 1) mod ((2 + 2) + 1)) mod 2) <= 0 then ((x + 2) div (2 + 1)) else 1))
A245492: 0 0 0 0 0 0 0 0 2 0 0 3 0 3 4 0
((x + 2) div (((loop(\(x,i).(x * 2),x,(2 - x)) mod (x + 2)) div (2 + 1)) + 1))
A071829: 2 3 4 5 3 7 8 3 5 11 6 13 7 5 16 17
loop(\(x,i).(((x + 2) * x) * ((x + 2) + 2)),1,(((x * 2) * (2 + 1)) + 1))
A001520: 15 693 3315 9177 19575 35805 59163 90945 132447 184965 249795 328233 421575 531117 658155 803985
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) * (2 + 1)) + 1))
A016926: 1 117649 4826809 47045881 244140625 887503681 2565726409 6321363049 13841287201 27680640625 51520374361 90458382169 151334226289 243087455521 377149515625 567869252041
((loop(\(x,i).((((2 + 1) * x) + 2) * 2),(x div 2),(x mod 2)) * (2 + 1)) + 1)
A026567: 1 4 13 31 85 193 517 1165 3109 6997 18661 41989 111973 251941 671845 1511653
(if (x - 2) <= 0 then 1 else (x - (((((1 - (x * x)) * x) div 2) div (2 + 1)) - 1)))
A318111: 1 1 1 8 15 26 42 64 93 130 176 232 299 378 470 576
((((if (((x div (2 + 1)) - 1) mod (2 + 2)) <= 0 then 1 else 0) - x) mod (2 + 1)) + 1)
A204257: 1 3 2 2 1 3 1 3 2 1 3 2 1 3 2 2
((compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) mod (2 + 1)) + 1)
A007413: 1 2 3 1 3 2 1 2 3 2 1 3 1 2 3 1
(((loop(\(x,i).(((i mod 2) + (x * 2)) * 2),(x - 1),1) + x) div (2 + 1)) + 1)
A008984: 1 1 3 10 35 133
(((loop(\(x,i).(((i + 2) * x) - (x div 2)),(x - 1),1) - x) div (2 + 1)) + 1)
A099952: 1 1 1 3 16 91 595
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013864: 1728 429981696 106993205379072 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013856: 1000 100000000 10000000000000 1000000000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013844: 343 5764801 96889010407 1628413597910449 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * (2 + 1))),(((2 + 1) * x) * (2 + 1)),1)
A015384: 1 ~4762874171 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017177: 1 100000 2476099 17210368 69343957 205962976 503284375 1073741824 2073071593 3707398432 6240321451 10000000000 15386239549 22877577568 33038369407 46525874176
((loop(\(x,i).(((x div 2) div ((x mod (2 + 1)) + 1)) + 2),2,x) div (2 + 1)) + 1)
A345699: 1 1 1 2 2 1 1 2 2 2 2 2 2 1 2 3
(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 1) * x) + 2) * x) * (2 + 1)) - 1))
A071713: 0 14 1 98
((loop(\(x,i).(((((x * 2) + 1) * (2 + 1)) + x) * x),2,x) * (2 + 1)) + 1)
A134158: 1 2191 24583 109513 324013 759811 1533331 2785693 4682713 7414903 11197471 16270321 22898053 31369963 42000043 55126981
(((if ((((x div 2) + x) div 2) mod 2) <= 0 then x else 1) + 1) mod ((x div (2 + 1)) + 1))
A279103: 0 0 0 0 0 0 1 2 0 2 2 0 2 2 0 2
(((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * (x + 1)) * ((x div (2 + 1)) + 1))
A131959: 1 2 3 8
A132327: 1 2 3 8 10 12 21 24 27 80 88 96 130 140 150 192
((x mod 2) - (if (((x * x) div 2) mod (2 + 1)) <= 0 then (0 - (x mod (2 + 1))) else 1))
A131185: 0 2 ~1 0 ~1 3 0 2 ~1 0 ~1 3 0 2 ~1 0
((if (x mod 2) <= 0 then ((x * x) mod (((2 + 1) * 2) + 1)) else (x mod (2 + 1))) + 1)
A233384: 1 2 5 1 3 3 2 2 2
(loop(\(x,i).(((2 + 2) * (x + 1)) + x),(x div (2 + 1)),(x mod (2 + 1))) + 1)
A133335: 1 2 3 5 10 15 25 50 75 125 250 375 625 1250 1875 3125
(((x + 2) + 1) div ((((if x <= 0 then 0 else 2) + 2) + 1) * ((x mod (2 + 1)) + 1)))
A029312: 1 0 0 1 0 0 1 1 0 2 1 0 3 1 1 3
(x mod ((((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 1 else x) + x) div (2 + 1)) + 1))
A262403: 0 0 0 0 1 1 1 2 2 1 2 1 3 4 4 4
(((x * 2) + 1) div ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) * (2 + 1)) + 1))
A135534: 1 3 0 7 0 1 0 15 0 1 0 3 0 1 0 31
((compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x) * (2 + 1)) + 1)
A048297: 1 4 7 13 16 25 28 31 49 52 55 61 64 97 100 103
((x mod (((if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then 2 else x) * 2) + 1)) + 1)
A262401: 1 2 3 4 5 6 7 8 9 10 1 12 3 14 15 16
((x div (x - (2 - ((x + 1) mod (((if (x mod 2) <= 0 then 2 else x) * 2) + 1))))) + 1)
A094293: 1 2 1 1 3 1 2 1 1 1 2 1 1 1 2 1
loop(\(x,i).(((((i mod 2) + x) + ((x * 2) * 2)) * 2) + 1),((x * 2) + 1),1)
A156641: 13 1313 131313 13131313 1313131313 131313131313 13131313131313 1313131313131313 131313131313131313 4611686018427387903 4611686018427387903 4611686018427387903
(x - (x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)))
A326128: 0 0 0 3 0 0 0 6 8 0 0 9 0 0 0 15
loop(\(x,i).(x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)),((x * 2) + 1),1)
A262715: 29 24389 20511149 17249876309 14507145975869 12200509765705829 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x),((x * 2) + 1),1)
A262787: 41 68921 115856201 194754273881 327381934393961 550329031716248441 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x),((x * 2) + 1),1)
A262786: 37 50653 69343957 94931877133 129961739795077 177917621779460413 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x + 1) * 2) div ((if (x mod ((2 + 1) * 2)) <= 0 then 2 else (x mod 2)) + 1)) + 1)
A328185: 1 3 7 5 11 7 5 9 19 11 23 13 9 15 31 17
((x mod ((((if (x mod (2 + 1)) <= 0 then 2 else (x mod 2)) * 2) + (x mod 2)) + 1)) + 1)
A070194: 1 2 1 4 1 2 2 4 1 4 1 4 3 2 1 4
(2 div (((2 + 1) div ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1)) + 1))
A329697: 0 0 1 0 1 1 2 0 2 1 2 1 2 2 2 0
(((x - 1) mod ((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then 1 else x) + 1)) + 1)
A345937: 1 1 2 3 4 1 6 7 8 1 10 1 12 1 2 15
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),((((2 + 2) + 1) * x) + 1),1)
A013894: 20 64000000 204800000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),((((2 + 2) + 1) * x) + 1),1)
A013874: 15 11390625 8649755859375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),((((2 + 2) + 1) * x) + 1),1)
A013886: 18 34012224 64268410079232 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),((((2 + 2) + 1) * x) + 1),1)
A013910: 24 191102976 1521681143169024 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),((((2 + 2) + 1) * x) + 1),1)
A013870: 14 7529536 4049565169664 2177953337809371136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013866: 13 4826809 1792160394037 665416609183179841 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013858: 11 1771561 285311670611 45949729863572161 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013882: 17 24137569 34271896307633 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((((2 + 2) + 1) * 2) * 2) + x) * 2) * (2 + 1)),x,1) + 1)
A062588: 2 127 877
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),(((2 + 1) * x) + 1),1)
A013768: 21 194481 1801088541 16679880978201 154472377739119461 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),(((2 + 1) * x) + 1),1)
A013770: 22 234256 2494357888 26559922791424 282810057883082752 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(((2 + 1) * x) + 1),1)
A013764: 19 130321 893871739 6131066257801 42052983462257059 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),(((2 + 1) * x) + 1),1)
A013772: 23 279841 3404825447 41426511213649 504036361936467383 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x div (((x * x) mod (((if (((x div 2) - 2) - 2) <= 0 then x else 1) + x) + 1)) + 1))
A330955: 0 0 0 1 0 1 0 1 0 1 2 2 2 2 2 3
((if (((x - (((x + 1) mod ((2 + 2) + 1)) mod 2)) div 2) mod 2) <= 0 then x else 1) - 1)
A322016: 0 0 1 0 3 4 0 0 7 8 9 0 0 12 0 0
(((x mod (2 + 2)) mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1)
A051119: 1 1 1 1 1 2 1 1 1 2 1 4 1 2 3 1
(loop(\(x,i).(((((((x * x) * x) + 1) * x) + 2) * x) + (x div 2)),x,1) + 1)
A306785: 2 5 1051
((((x mod 2) - (if (x mod (((x div 2) + 2) + 2)) <= 0 then 1 else 0)) mod (x + 1)) + 1)
A062754: 1 2 1 2 1 2 1 1 9 2 1 2 1 2 1 2
(compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),(x + 1)) + 1)
A337935-A327473-A326847-A326837-A326645-A246655-A144711-A137944-A128603-A096165-A089352-A086486-A071139-A059046-A030230: 2 3 4 5 7 8 9 11 13 16 17 19 23 25 27 29
((((loop(\(x,i).(((x div 2) + 2) * (2 + 1)),x,0) * 2) + 1) div (x + 1)) + 1)
A308550: 2 7 11 14 19 25 33
(x - ((((if (x mod 2) <= 0 then ((x div (2 + 1)) mod 2) else 2) + 1) mod (x + 1)) - 1))
A214920: 1 1 2 1 3 3 6 5 8 7 9 9 12 11 14 13
(x - ((((((if ((x div 2) - 2) <= 0 then x else 2) + 2) * 2) + 1) mod (x + 1)) - 1))
A334473: 1 1 3 1 2 3 5 7 9 1 2 3 4 5 6 7
(x mod (((loop(\(x,i).(x * 2),(x div ((x mod 2) + 2)),2) - 1) mod (x + 1)) + 1))
A115378: 0 1 0 3 1 1 0 7 3 3 1 3 1 1 0 15
loop(\(x,i).(((x * 2) - ((x div 2) mod (2 + 1))) * ((2 + 2) + 1)),(x + 1),1)
A063945: 10 90 900 9000 90000 900000 9000000 90000000 900000000 9000000000 90000000000 900000000000 9000000000000 90000000000000 900000000000000 9000000000000000
((loop(\(x,i).(((x - (x div ((i mod 2) + 2))) * 2) + 1),x,1) div (x + 1)) + 1)
A085886: 2 2 2 3 3 3 3 4 4 5 4 5 5 6 6 8
(compr(\x.((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 0) - 2),(x + 1)) + 1)
A316525: 2 3 4 5 7 8 9 11 13 16 17 19 20 21 23 25
((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) div (x + 1)) - 1)
A141364: 1 0 1 4 13 41 131 428 1429 4861 16795 58785 208011 742899 2674439 9694844
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017153: 16807 759375 6436343 28629151 90224199 229345007 503284375 992436543 1804229351 3077056399 4984209207 7737809375 11592740743 16850581551 23863536599 33038369407
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((2 + 2) * (x + 1)) - 1))
A016842: 729 117649 1771561 11390625 47045881 148035889 387420489 887503681 1838265625 3518743761 6321363049 10779215329 17596287801 27680640625 42180533641 62523502209
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),(((x + 2) * 2) * (x + 1)),1)
A102170: 2801 16148168401 4611686018427387903
(((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 2) * (x + 1)) + 1)
A157102: 3 7 7 21 11 43 15 25 19 111 23 157 27 43 31 273
((((if (x - 1) <= 0 then ((2 + 2) + 1) else ((2 + 1) * x)) + 2) * (x + 1)) + 1)
A169875: 8 15 25 45
(x - ((x div 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 1)))
A010848: 0 1 2 2 4 5 6 4 6 9 10 10 12 13 14 8
((((2 + 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1)
A088837: 3 7 3 15 3 7 3 31 3 7 3 15 3 7 3 63
((((x + 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1)
A092525: 1 5 3 19 5 13 7 71 9 21 11 51 13 29 15 271
(((loop(\(x,i).((((x * x) div (2 + 1)) + x) div 2),2,x) + x) div (x + 1)) + 1)
A261772: 1 1 1 2 2 3 4 5 6 8 9 11 14 16 20 24
loop(\(x,i).(((((x div 2) div (2 + 1)) + (x div (2 + 2))) + x) + 1),(x - 1),1)
A003143: 1 1 2 3 4 6 9 13 19 27 38 54 77 109 155 219
loop(\(x,i).(((((((i * 2) * 2) - 1) * x) * 2) div (i + 1)) * 2),(x - 1),1)
A025749: 1 1 6 56 616 7392 93632 1230592 16612992 228890112 3204461568 45445091328 651379642368 9419951751168 137262154088448 2013178259963904
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * (i * 2)),(x - 1),1)
A005431: 1 1 4 40 672 16128 506880 19768320 922521600 50185175040 3120605429760 218442380083200 17004899126476800 1457562782269440000 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) + x),(x - 1),1)
A025748: 1 1 3 15 90 594 4158 30294 227205 1741905 13586859 107459703 859677624 6943550040 56540336040 463630755528
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) * (x - 1)) + 1)
A237622: 1 1 5 31 169 841 3961 18019 80081 350065 1511641 6466461 27457585 115892401 486748081 2035917451
(loop(\(x,i).((((i div (2 + 1)) + 2) * ((i div (2 + 1)) + 1)) + x),x,1) + 1)
A225566: 2 4 6 12 18 24 36 48 60 80 100 120 150 180 210 252
(((loop(\(x,i).(x * x),2,((x * x) * x)) * (x * x)) div ((x * x) + 1)) + 1)
A270204: 1 1 3277 478297 15790321 234750601 2117950381 13564461457 67662254017 278985273841 990099009901 3112703553961 8854610100337 23161037562937 56406126018061 129172239050401
((1 - (((x div (2 + 1)) mod 2) * 2)) * ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1))
A154595: 1 3 3 ~1 ~3 ~3 1 3 3 ~1 ~3 ~3 1 3 3 ~1
((loop(\(x,i).(((x div (((2 + 1) * 2) + 1)) + x) + 2),(x - 1),0) div 2) + 1)
A218906: 1 1 2 3 4 5 6 8 10 12 14 17 20 23 27 32
(((x div 2) mod ((if (((x - 1) div 2) mod ((2 + 1) * 2)) <= 0 then 2 else 0) + 2)) + 1)
A218344: 1 1 2 2 1 1 2 2 1 1 2 2 1 3 4 2
((x div (2 - (x mod 2))) mod ((if (x mod (((x div 2) + 2) + 2)) <= 0 then 0 else 2) + 1))
A163536: 0 1 1 0 2 2 0 0 0 0 2 2 0 1 1 0
(((x div 2) - ((if ((x + 2) mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0) * 2)) + 1)
A291304: 1 1 2 0 3 3 4 4 5 5 6 6 7 5 8 8
((loop(\(x,i).(x - (((2 - x) div (((x mod 2) + 2) + 2)) - 1)),x,0) div 2) + 1)
A304883: 1 1 2 2 3 4 5 7 9 11 14 17 21 26 32 39
(((x - (if ((((x * x) + 2) * x) mod ((x div 2) + 1)) <= 0 then 0 else 1)) mod 2) + 1)
A305393-A293630: 1 2 1 1 1 2 1 1 2 1 1 1 2 1 2 1
(x - ((((x div ((if ((x mod (2 + 1)) mod 2) <= 0 then 2 else 0) + 1)) + 1) div 2) - 1))
A117900: 1 1 3 3 3 5 6 4 8 8 6 10 11 7 13 13
((((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1) div 2) + 1)
A181591: 1 1 1 2 1 1 1 3 2 1 1 3 1 1 1 4
((((x div (((1 - loop(\(x,i).(x * 2),x,2)) mod (x + 1)) + 1)) + 1) div 2) + 1)
A326975: 1 1 1 2 1 2 1 3 2 2 1 2 1 2 2 5
(if x <= 0 then 0 else ((x div (1 - (x div (((x mod ((0 - 2) - 1)) - 1) - 2)))) + 1))
A019569: 0 1 2 2 3 2 3 3 3 3 4 3 3 4 3 3
((if ((x + 1) mod ((x div ((((x div 2) mod 2) + 2) * 2)) + 1)) <= 0 then 1 else 2) + 1)
A217403: 2 2 2 2 3 2 3 2 2 3 3 2 3 3 2 3
(x div ((((if (x mod (2 + 1)) <= 0 then ((x div (2 + 2)) * 2) else 1) + 1) * 2) + 1))
A218491: 0 0 0 1 0 1 0 1 1 0 2 2 0 2 2 1
((if (x - 1) <= 0 then 1 else (((((x div 2) * 2) div ((2 + 2) + 1)) + 1) * 2)) + 1)
A055377: 2 2 3 3 3 3 5 5 5 5 7 7 7 7 7 7
((loop(\(x,i).(((2 + 2) + 1) * x),((x div 2) - ((2 + 2) + 1)),1) div 2) + 1)
A147136-A147032-A146844: 1 1 1 1 1 1 1 1 1 1 1 1 3 3 13 13
(((if x <= 0 then 2 else ((x * 2) - (x mod ((x div ((2 + 2) + 1)) + 1)))) div 2) - 1)
A239906: 0 0 1 2 3 3 5 5 7 7 8 9 11 11 12 12
((((x div ((loop(\(x,i).((x mod (i + 1)) + 2),x,2) * 2) - 1)) + 1) div 2) + 1)
A316782-A294336: 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 4
(((if x <= 0 then 1 else (((x - ((2 - x) div (2 + 2))) * (2 + 1)) - 1)) * 2) - 1)
A251535: 1 3 9 21 27 33 39 51 57 63 69 81 87 93 99 111
(if (x - 1) <= 0 then x else (((((((x + 2) * x) div 2) * (2 + 1)) + 1) * 2) + 1))
A113481: 0 1 27 45 75
(((((((if (x - 1) <= 0 then x else 2) + x) + 2) + (x div (2 + 1))) + 1) * 2) + 1)
A130569: 7 11 15 19 21 23 27 29 31 35 37 39 43 45 47 51
(if x <= 0 then 0 else (((((2 - x) + (2 + 1)) mod ((x div (2 + 1)) + 1)) div 2) + 1))
A104360: 0 1 1 1 1 1 2 1 1 1 2 2 2 2 1 2
(if x <= 0 then 0 else ((((((2 + 2) * 2) - x) mod ((x div (2 + 1)) + 1)) div 2) + 1))
A126207: 0 1 1 1 1 1 2 1 1 2 2 1 1 1 3 3
((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)
A332741-A052126: 1 1 1 2 1 2 1 4 3 2 1 4 1 2 3 8
((loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) * (x + 1)) + 1)) div 2) + 1)
A175113: 1 365 7813 58825 265721 885781 2413405 5695313 12068785 23522941 42883061 74017945 122070313 193710245 297411661 443751841
(((x mod ((((x mod (if ((x div 2) - 2) <= 0 then 1 else 2)) + 1) * 2) + 1)) div 2) + 1)
A281530-A050205: 1 1 2 1 1 2 1 2 2 3 1 1 1 2 2 1
loop(\(x,i).((x * 2) + 1),((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2),1)
A195644: 1 1 1 1 1 1 1 1 3 1 1 1 3 15 1 1
(((((if (((x div 2) * x) mod 2) <= 0 then x else (x mod (2 + 1))) div 2) + 1) div 2) + 1)
A295283: 1 1 2 1 2 2 3 1 3 3 4 2 4 4 5 1
(x div (loop(\(x,i).(x * 2),(x div ((((2 - (x mod 2)) + 1) * 2) + 1)),2) + 1))
A089048: 0 0 0 1 1 1 2 1 1 1 2 1 2 1 1 0
((loop(\(x,i).((((x * x) + 2) * x) * (2 + 1)),((x + 1) * 2),1) * 2) - 1)
A139068: 4481 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) mod (((((((2 + 2) * 2) * 2) * 2) + 1) * 2) + 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036131: 1 2 4 8 16 32 64 61 55 43 19 38 9 18 36 5
(if (2 - x) <= 0 then (((x div ((((x mod (2 + 2)) + 2) * 2) * 2)) + 1) * 2) else 1)
A003642: 1 1 2 2 2 2 2 2 4 2 2 2 4 4 2 2
((if x <= 0 then 2 else (((((x + 1) div (2 + 1)) + 1) mod ((2 + 2) + 1)) mod 2)) + 1)
A079948: 3 2 1 1 1 2 2 2 1 1 1 1 1 1 2 2
(((((if (x mod 2) <= 0 then 2 else x) + ((x * 2) + 1)) mod ((2 + 2) + 1)) * 2) + 1)
A140899: 7 9 5 1 3 3 1 5 9 7 7 9 5 1 3 3
(((loop(\(x,i).(x * 2),x,(((x mod 2) + 2) * 2)) div ((2 + 2) + 1)) * 2) + 1)
A255490: 1 5 7 19 25 77 103 307 409 1229 1639 4915 6553 19661 26215 78643
(((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) mod ((2 + 2) + 1)) * 2) + 1)
A138055: 1 3 5 9 3 1 9 5 1 3 5 9 3 1 9 5
(((((x mod 2) - (if (x mod (2 + 1)) <= 0 then 0 else x)) mod ((2 + 2) + 1)) div 2) + 1)
A118914: 1 1 2 1 1 1 1 3 2 1 1 1 1 2 1 1
(((if x <= 0 then 1 else (((2 + 1) * x) - ((1 - x) div ((2 + 2) + 1)))) + 2) + 1)
A186514: 4 6 10 13 16 19 22 26 29 32 35 38 42 45 48 51
((x + 1) mod loop(\(x,i).(x * 2),((x div 2) - ((x div ((2 + 2) + 1)) * 2)),1))
A089631: 0 0 1 0 1 0 1 0 1 2 1 0 1 2 7 0
((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - x) mod ((2 + 2) + 1)) div 2) + 1)
A319658: 1 3 1 2 1 2 1 2 1 1 1 1 1 2 1 1
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017105: 243 161051 2476099 14348907 52521875 147008443 345025251 714924299 1350125107 2373046875 3939040643 6240321451 9509900499 14025517307 20113571875 28153056843
(((x mod ((((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x mod 2)) * 2) + 1)) mod 2) + 1)
A336532: 1 2 1 2 2 1 2 1 1 1 2 2 1 2 1 2
((((x div (((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x mod 2)) * 2)) + 1) div 2) + 1)
A185278: 1 1 2 1 2 2 2 2 3 2 4 2 3 3 5 2
((((loop(\(x,i).((i mod 2) + (x * 2)),x,0) div (x + 1)) * (2 + 1)) div 2) + 1)
A333188: 1 1 1 2 4 5 10 16 28 52 94 170 316 586 1093 2048
loop(\(x,i).(i * x),(x - (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) * 2)),1)
A269223: 1 1 2 1 2 6 2 6 24 1 2 6 2 6 24 6
((((x - ((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2)))) * (2 + 1)) div 2) - 1)
A097702: 0 2 3 5 6 8 9 11 14 15 17 18 20 21 23 26
(((2 + 2) * (2 + 1)) - (if ((x + 2) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1))
A231472: 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11
((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) - 1)
A171947: 1 3 7 9 11 15 19 23 25 27 31 33 35 39 41 43
loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A285741-A001316: 1 2 2 4 2 4 4 8 2 4 4 8 4 8 8 16
loop(\(x,i).(i * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A093659: 1 1 1 2 1 2 2 6 1 2 2 6 2 6 6 24
(((loop(\(x,i).(((2 + 1) * x) + 1),x,1) - ((x div 2) mod (2 + 1))) div 2) + 1)
A132868: 1 3 7 20 60 182 547 1641 4921 14762 44286 132860 398581 1195743 3587227 10761680
(if ((((x + 1) div (2 + 1)) + 1) mod ((2 + 2) + 1)) <= 0 then ((2 + 1) * 2) else 1)
A172360: 1 1 1 1 1 1 1 1 1 1 1 6 6 6 1 1
(2 div ((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else x) + 1) mod ((2 + 1) * 2)) + 1))
A025880-A017837: 1 0 0 0 0 1 1 0 0 0 1 2 1 0 0 1
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) div (((2 + 1) * 2) + 1))
A241217: 1 14 142 1428 14285 142857 1428571 14285714 142857142 1428571428 14285714285 142857142857 1428571428571 14285714285714 142857142857142 1428571428571428
(((loop(\(x,i).((i + 2) * x),x,2) - 1) div (2 + 1)) mod (((2 + 1) * 2) + 1))
A021100: 0 1 0 4 1 6 6 6 6 6 6 6 6 6 6 6
((loop(\(x,i).((x - i) * x),2,(x - 1)) div (2 + 1)) div (((2 + 1) * 2) + 1))
A011931: 0 0 0 0 1 5 17 40 80 144 240 377 565 817 1144 1560
((if x <= 0 then 1 else (((1 - x) mod ((x div 2) + 1)) + 2)) * (((2 + 1) * 2) + 1))
A242888: 7 14 21 14 14 28
((loop(\(x,i).(x - (((i mod 2) - x) * 2)),x,1) div 2) div (((2 + 1) * 2) + 1))
A133409: 0 0 0 0 1 4 13 39 117 351 1054 3163 9490 28470 85410 256230
(((loop(\(x,i).(((2 + 1) * x) - 1),x,1) div 2) + 2) div (((2 + 1) * 2) + 1))
A133405: 0 0 0 1 3 9 26 78 234 703 2109 6327 18980 56940 170820 512461
(if x <= 0 then 1 else ((((x - (2 + 1)) * (x - 2)) div 2) div (((2 + 1) * 2) + 1)))
A263362: 1 0 0 0 0 0 0 1 2 3 4 5 6 7 9 11
loop(\(x,i).((((x mod 2) * x) * 2) - (x div (0 - 2))),x,(((2 + 1) * 2) + 1))
A185455: 7 18 9 23 58 29 73 183 458 229 573 1433 3583 8958 4479 11198
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((2 + 1) * 2) + 1))
A175222: 7 8 10 12 16 18 22 24 28 34 36 42 46 48 52 58
((if (2 - x) <= 0 then ((x div (2 + 2)) + 2) else 1) - (x div (((2 + 1) * 2) + 1)))
A238268: 1 1 2 2 3 3 3 2 3 3 3 3 4 4 3 3
((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) + (x div (((2 + 1) * 2) + 1)))
A109701-A103374: 1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 4
((if (x mod 2) <= 0 then 1 else (x div ((2 + 2) * 2))) + (x div (((2 + 1) * 2) + 1)))
A029226: 1 0 1 0 1 0 1 1 2 2 2 2 2 2 3 3
(loop(\(x,i).(((((2 + 2) + 1) * x) div (i + 1)) + x),x,((2 + 1) * 2)) - 1)
A062988: 5 20 55 125 251 461 791 1286 2001 3002 4367 6187 8567 11627 15503 20348
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) + 1)
A129069: 7 9 13 17 25 29 37 41 49 61 65 77 85 89 97 109
((if x <= 0 then 1 else (((((x * 2) * 2) - (x div 2)) - (x div (2 + 1))) * 2)) + 1)
A063105: 2 9 15 21 27 35 39 47 53 59 65 73 77 85 91 97
(((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + ((x mod (2 + 1)) div 2)) + 1)
A277818: 1 1 2 1 3 2 1 1 2 3 1 2 1 1 4 1
((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) * (if (x mod (2 + 1)) <= 0 then 2 else 1))
A051517: 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 2
(((compr(\x.loop(\(x,i).(x div (((x mod 2) * 2) + 1)),x,x),x) * (2 + 1)) div 2) + 1)
A191109: 1 2 5 8 14 17 23 26 41 44 50 53 68 71 77 80
((((((loop(\(x,i).((x * x) * x),x,2) div (x + 1)) + x) * 2) + 1) * 2) + 1)
A193855: 11 23 691
(if x <= 0 then 0 else ((((x + 1) div ((2 - (((x div 2) * x) mod 2)) + 1)) div 2) + 1))
A071068: 0 1 1 2 1 2 2 3 2 2 2 4 3 3 3 5
((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 2)) mod (x + 2)) + 1) div 2) + 1)
A194550: 1 1 2 1 3 1 2 1 4 1 3 1 5 1 2 1
loop(\(x,i).((x * x) * (2 + 1)),1,(((((x div 2) + (x * 2)) + 1) * 2) + 1))
A192328: 27 147 507 867 1587 2187 3267 4107 5547 6627 8427 9747 11907 13467 15987 17787
((((((if (x mod 2) <= 0 then x else 1) + x) div (2 + 1)) mod ((x div 2) + 1)) div 2) + 1)
A278109: 1 1 1 1 2 2 1 2 1 2 1 3 1 3 1 3
(((x mod ((loop(\(x,i).(x * 2),(x div (2 + 1)),1) * (x mod 2)) + 1)) div 2) + 1)
A081652: 1 1 1 1 1 2 1 2 1 1 1 2 1 7 1 8
((loop(\(x,i).((((x * 2) * 2) - 1) * 2),(x div 2),((x mod 2) + 1)) * 2) - 1)
A113836: 1 3 11 27 91 219 731 1755 5851 14043 46811 112347 374491 898779 2995931 7190235
(((x * 2) div ((if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then x else 1) + 2)) + 1)
A322587: 1 1 2 3 2 4 2 5 6 7 2 8 2 9 10 11
(((loop(\(x,i).(x - ((2 - (x mod 2)) * (x div (2 + 1)))),2,x) + 1) div 2) + 1)
A320011: 1 2 2 2 2 2 2 3 2 2 2 3 2 4 2 3
((x div ((loop(\(x,i).(((x div 2) + x) + (2 + 2)),x,0) mod (x + 1)) + 2)) + 1)
A271325: 1 1 1 1 2 1 1 1 2 2 2 4 1 2 2 2
((((loop(\(x,i).(x * 2),x,(x - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1)
A055034: 1 1 1 2 2 2 3 4 3 4 5 4 6 6 4 8
((loop(\(x,i).((x + 2) * 2),((x + 1) div 2),2) + 1) div (((x + 1) * 2) + 1))
A288005: 1 1 1 2 1 3 3 5 4 9 8 15 14 26 24 46
((loop(\(x,i).((x * 2) * (2 + 1)),(x - 1),1) div 2) + (((x + 1) * 2) + 1))
A003187: 3 5 10 27 119
(loop(\(x,i).((x * 2) * (2 + 1)),x,((2 + 2) * 2)) * (((x + 1) * 2) + 1))
A268966: 24 240 2016 15552 114048 808704 5598720 38071296 255301632 1693052928 11125776384 72559411200 470184984576 3030081011712 19434312695808 124128835928064
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) mod (((x + 1) * 2) + 1))
A256277: 2 1 6 7 10 1 12 1 18 19 22 6 11 1 30 9
(loop(\(x,i).((x * x) * x),1,((x + 2) * (x + 2))) * (((x + 1) * 2) + 1))
A209594: 192 3645 28672 140625 513216 1529437 3932160 9034497 19000000 37202781 68677632 120670225 203297472 330328125 520093696 796539777
(((((((if (x - 1) <= 0 then x else (x * 2)) + 2) + 1) * x) * (x + 1)) div 2) + 1)
A273677: 1 5 22 55 111 196 316 477 685 946 1266 1651 2107 2640 3256 3961
loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) + 1),((x - 1) div 2),1)
A322111: 1 1 1 2 2 5 5 13 13 37 37
(((loop(\(x,i).((x * 2) - (i mod 2)),x,1) div (2 + 1)) * ((x - 1) div 2)) + 1)
A161746: 1 1 1 2 3 7 15 43
loop(\(x,i).((2 + 1) * x),(((((2 + 2) * 2) + x) * ((x * x) + 1)) div 2),1)
A100533: 81 19683 847288609443 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),(x + 1),0) - 2) * 2) - 1)
A205087: 11 171 1771 17771 177771 1777771 17777771 177777771 1777777771 17777777771 177777777771 1777777777771 17777777777771 177777777777771 1777777777777771 17777777777777771
(((x + 2) * x) - (((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) * 2) - 1))
A331221: 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 252
(x - (((0 - (x div ((if ((x div (2 + 1)) - 2) <= 0 then 2 else 0) + 2))) div 2) - 1))
A296858: 1 2 3 4 6 7 8 9 10 12 14 15 16 17 19 20
((loop(\(x,i).((x * 2) + 1),(x div 2),((x mod 2) - (x div (0 - 2)))) div 2) + 1)
A262258: 1 2 2 4 6 10 16 24 40 56 96 128 224 288 512 640
(((loop(\(x,i).(((((x div 2) + x) div (i + 1)) + x) + 2),x,0) div 2) * 2) + 1)
A342474: 1 3 5 9 13 17
A340520: 1 3 5 9 13 17 23 29 35 41 49 57 65 73 81 91
loop(\(x,i).((x + 1) * x),(x - ((((x div ((2 + 2) + 1)) + 1) * 2) * 2)),1)
A165680: 1 1 1 1 1 1 1 1 1 2 1 1 1 2 6 1
(if x <= 0 then 1 else (((x * 2) + 1) div (((((x mod (2 + 1)) + 1) * 2) * 2) + 1)))
A029253: 1 0 0 1 1 0 2 1 1 3 2 1 5 3 2 6
((((loop(\(x,i).(((i div (2 + 1)) + x) + (x div 2)),x,1) + 1) div 2) div 2) + 1)
A143951: 1 1 1 1 2 3 4 6 9 14 21 31 47 71 107 161
(((((loop(\(x,i).((i + 2) * x),(2 + 2),2) mod (x + 1)) + 1) div 2) * 2) + 1)
A271498: 1 1 1 1 1 1 7 1 1 1 7 1 7 7 1 1
((((((if x <= 0 then 1 else 2) * (x + 1)) mod (((2 + 1) * 2) + 1)) mod 2) * 2) - 1)
A114523: 1 ~1 ~1 1 1 1 ~1 ~1 ~1 ~1 1 1 1 ~1 ~1 ~1
(x - ((((x - 1) div ((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + 2)) * 2) + 1))
A071933: 1 0 1 2 3 2 3 4 5 4 3 4 5 4 5 6
((((2 - (loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * 2) + 1))) + 2) * 2) + 1)
A154870: 7 5 1 ~7 ~5 ~1 7 5 1 ~7 ~5 ~1 7 5 1 ~7
(if x <= 0 then 0 else (((x mod ((x div (((x mod (2 + 2)) + 2) + 1)) + 2)) div 2) + 1))
A275806: 0 1 1 1 1 2 1 1 1 1 2 2 1 2 2 2
(if x <= 0 then 0 else (((((x * x) mod ((((x div 2) + 2) * 2) + 1)) mod 2) * 2) - 1))
A011585: 0 1 ~1 ~1 1 1 1 1 ~1 1 ~1 1 ~1 ~1 ~1 ~1
(2 div ((x div (((x + 2) mod ((if (x mod 2) <= 0 then (2 + 2) else 1) * 2)) + 2)) + 1))
A096831: 2 2 2 1 2 1 0 0 0 0 1 0 1 0 0 0
(((if (x - 2) <= 0 then x else ((((x * 2) + 1) div ((2 + 2) + 1)) + 2)) + 2) + 1)
A104136: 3 4 5 6 6 7 7 8 8 8 9 9 10 10 10 11
((loop(\(x,i).((x + 2) * x),((x * 2) + 1),(((2 + 2) + 1) * 2)) * 2) + 1)
A120377: 241 428717761
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (((((2 + 2) + 1) * 2) * 2) + 1))
A070374: 1 5 4 20 16 17 1 5 4 20 16 17 1 5 4 20
(((((if x <= 0 then 1 else x) mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * 2) - 1)
A076479: 1 ~1 ~1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 1 ~1 1 1 ~1
(((((x div (if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1)) * (2 + 1)) div 2) div 2) + 1)
A295887: 1 1 2 3 4 2 5 6 7 4 8 9 10 5 11 12
(((loop(\(x,i).(((((2 + 2) * 2) * 2) + x) * 2),x,(2 + 1)) * 2) * 2) + 1)
A305262: 13 153 433 993 2113 4353 8833 17793 35713 71553 143233 286593 573313 1146753 2293633 4587393
((x * 2) div (((((if (x mod 2) <= 0 then (2 - x) else x) mod (2 + 1)) + 2) + 2) + 1))
A080344: 0 0 0 1 1 1 1 2 3 3 3 3 3 4 5 6
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017129: 3125 371293 4084101 20511149 69343957 184528125 418195493 844596301 1564031349 2706784157 4437053125 6956883693 10510100501 15386239549 21924480357 30517578125
(((((if (x - 1) <= 0 then 2 else ((x + 1) div 2)) * ((x div 2) + 1)) + 2) + 2) + 1)
A246506: 7 7 7 9 11 14 17 21 25 30
(((loop(\(x,i).(x - (((2 - x) div ((2 + 2) + 1)) - 1)),x,1) div 2) div 2) + 1)
A097793: 1 1 1 2 2 3 4 4 5 7 8 10 12 14 17 21
(((loop(\(x,i).((((i + x) div ((2 + 2) + 1)) + x) + 1),x,1) div 2) div 2) + 1)
A280663-A266748: 1 1 1 2 2 3 4 5 7 9 11 14 17 21 26 32
(((x - (((x * x) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)) div 2)) div 2) + 1)
A262592: 1 2 4 10 29 88 268 812 2449 7366 22124 66406 199261 597836 1793572 5380792
((((loop(\(x,i).((x + 2) * 2),((2 + 2) + 1),2) mod (x + 1)) div 2) div 2) + 1)
A239957: 1 1 1 1 1 1 2 2 3 3 1 3 2 2 3 4
(((((if (x mod 2) <= 0 then ((x div (2 + 1)) mod 2) else 2) * (x + 1)) div 2) div 2) + 1)
A260429: 1 2 1 3 2 4 1 5 1 6 3 7 1 8 1 9
(loop(\(x,i).i,(x mod (((2 + 1) * 2) + 1)),x) mod ((((x + 1) div 2) div 2) + 1))
A037281: 0 0 0 1 0 1 0 1 1 2 0
A089615-A069160: 0 0 0 1 0 1 0 1 1 2 0 0 1 2 2 1
((((loop(\(x,i).(((x * 2) - (x div (2 + 1))) + 1),x,0) div 2) div 2) div 2) + 1)
A186085: 1 1 1 1 2 3 5 8 13 22 36 60 100 166 277 461
(if x <= 0 then 0 else ((((x - (x mod (((x mod (2 + 1)) + 1) * 2))) div 2) div 2) + 1))
A053276: 0 1 1 1 2 1 2 2 2 3 3 2 4 4 4 4
((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 2) * 2) - 1)
A185123: 11 191 1991 19991 199991 1999991 19999991 199999991 1999999991 19999999991 199999999991 1999999999991 19999999999991 199999999999991 1999999999999991 19999999999999991
(((((if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1) + 2) + 2) * 2) + 1)
A317244: 11 11 11 11 11 11 11 11 11 11 11 13 11 11 11 11
((((x - 2) mod ((x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + 2)) + 2)) div 2) + 1)
A299825: 1 1 1 1 2 1 1 1 2 2 2 3 1 3 1 2
(if x <= 0 then 1 else (((((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) * 2) + 1))
A089607: 1 3 1 3 3 1 1 3 3 3 1 1 3 1 1 3
((((loop(\(x,i).((x + 1) * 2),x,((x + 2) * (2 + 1))) div 2) div 2) div 2) + 1)
A106472: 1 3 7 17 40 92 208 464 1024 2240 4864 10496 22528 48128 102400 217088
(if x <= 0 then 1 else (x div ((((((x * x) div 2) mod ((2 + 1) * 2)) + 2) * 2) + 1)))
A152067: 1 0 0 0 0 1 1 1 0 0 1 2 2 2 1 1
(if x <= 0 then 0 else (((((((2 - x) div 2) * ((x * 2) - 1)) div 2) div 2) mod 2) + 1))
A086288: 0 1 1 1 1 2 1 1 1 2 2 2 2 1 2 2
((((((if (x mod (((x div 2) + 2) + 2)) <= 0 then 1 else x) - 1) div 2) div 2) * 2) + 1)
A056611: 1 1 1 1 1 3 3 1 1 5 5 5 5 7 7 7
((((loop(\(x,i).((((x div 2) div (2 + 1)) + x) + 2),x,1) div 2) + 2) + 2) + 1)
A120182: 5 6 7 8 10 11 13 15 18 21 24 28 33 38 45 52
(if x <= 0 then 0 else (2 - ((1 - (x div 2)) div (((((x + 1) div 2) div 2) div 2) + 1))))
A196048: 0 1 2 2 3 3 4 3 4 4 4 4 5 5 5 4
((x mod ((((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 1 else 2) + 2) + 2) + 2)) + 1)
A277546: 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7 2
(if x <= 0 then 2 else ((((x - ((((x div 2) * (2 + 1)) div 2) div 2)) mod 2) * 2) + 1))
A039702: 2 3 1 3 3 1 1 3 3 1 3 1 1 3 3 1
(if x <= 0 then 0 else ((((x - (x div ((1 - ((2 + 2) * 2)) * 2))) + 2) + 2) + 1))
A345435: 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22
(((if (x - 2) <= 0 then x else (((x - ((x div (2 + 2)) mod 2)) div 2) + 2)) + 2) + 1)
A198466: 3 4 5 6 6 7 7 8 9 9 10 10 10 11 11 12
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070381: 1 5 25 26 31 23 16 14 4 20 1 5 25 26 31 23
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070399: 1 6 5 30 25 26 1 6 5 30 25 26 1 6 5 30
((((loop(\(x,i).(x * 2),x,(x - ((2 - x) * (2 + 2)))) div 2) + 2) + 2) + 1)
A139628: 1 2 9 33
A048498: 1 2 9 33 101 277 709 1733 4101 9477 21509 48133 106501 233477 507909 1097733
loop(\(x,i).(x div (0 - 2)),(((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2),1)
A185917: 1 1 1 1 ~1 1 1 0 0 1 1 0 ~1 0 1 1
(((((((if (x - (2 + 2)) <= 0 then 1 else x) * (x div 2)) div 2) + 2) div 2) div 2) + 1)
A049810: 1 1 1 1 1 2 3 4 5 6 7 8 10 11 13 14
(if x <= 0 then 0 else ((((x + 2) mod ((x mod (((x mod 2) + 2) * 2)) + 2)) div 2) + 1))
A039927: 0 1 1 1 1 1 1 1 1 1 1 4 1 1 1 2
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * 2) + 1))
A070407: 1 7 15 3 4 11 9 12 16 10 2 14 13 6 8 5
(1 div (2 - (loop(\(x,i).(x * x),2,(x * x)) mod ((((2 + 2) * 2) * 2) + 1))))
A165581-A165471-A011584: 0 1 1 ~1 1 ~1 ~1 ~1 1 1 ~1 ~1 ~1 1 ~1 1
(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div ((((2 + 2) * 2) * 2) - 1))
A011795: 0 0 0 0 0 1 3 7 14 25 42 66 99 143 200 273
((loop(\(x,i).((x - i) * x),2,(x - 1)) div 2) div ((((2 + 2) * 2) * 2) - 1))
A011940: 0 0 0 0 0 4 12 28 56 100 168 264 396 572 800 1092
((x div ((((if ((x mod (2 + 1)) mod 2) <= 0 then 2 else x) mod (2 + 2)) + 2) * 2)) + 1)
A085031: 1 1 1 1 2 1 1 1 2 2 2 2 2 3 2 2
(2 div (((1 - (if (2 - x) <= 0 then x else 0)) mod (((x div (2 + 2)) + 2) + 2)) + 1))
A331984: 1 1 0 0 0 1 2 0 0 0 0 0 0 0 1 2
(2 div (((((if x <= 0 then 1 else x) * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 1))
A231642: 0 0 1 0 0 1 0 2 0 1 0 0 0 0 1 0
(1 - ((if x <= 0 then 0 else 1) div (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)))
A166124: 1 0 2 0 1 2 0 1 1 2 0 1 1 1 2 0
((((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + 2),x,2) div 2) div 2) div 2) + 1)
A036821: 1 1 1 2 2 3 3 4 5 6 7 9 10 12 15 18
(if (x mod (2 + 1)) <= 0 then 1 else (x div ((((2 - ((x div 2) mod 2)) + 2) * 2) + 1)))
A025848: 1 0 0 1 0 0 1 1 0 1 1 1 1 1 2 1
loop(\(x,i).(x * 2),((((x * 2) + 1) mod (x - ((x + 1) mod (2 + 2)))) div 2),1)
A245163-A232089: 1 1 1 1 1 2 1 1 2 4 1 1 2 4 8 1
(((((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1)) + 1) * (((2 + 2) * 2) + 1))
A242892: 9 9 18 27 27 18
((loop(\(x,i).((x - i) * x),2,(x - 1)) div (2 + 1)) div (((2 + 2) * 2) + 1))
A011937: 0 0 0 0 0 4 13 31 62 112 186 293 440 635 889 1213
(((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + 1) * (((2 + 2) * 2) + 1))
A249605: 9 18 27 36 45 54 63 72 81 108 117 126 135 144 153 162
(loop(\(x,i).((x * 2) * 2),(x - 2),((x mod 2) + 1)) div (((2 + 2) * 2) + 1))
A215970: 0 0 0 0 1 14 28
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) div (((2 + 2) * 2) + 1))
A057932: 0 1 12 123 1234 12345 123456 1234567 12345679 123456790 1234567901 12345679012 123456790123 1234567901234 12345679012345 123456790123456
(loop(\(x,i).(x * 2),x,((((x * x) + 2) * x) + 1)) mod (((2 + 2) * 2) + 1))
A144750: 1 8 7 2 7 5 4 5 1 8 1 2 7 2 4 5
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(x + 1)) * (((2 + 2) * 2) + 1))
A212704: 9 180 2700 36000 450000 5400000 63000000 720000000 8100000000 90000000000 990000000000 10800000000000 117000000000000 1260000000000000 13500000000000000 144000000000000000
(loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),x,1) mod (((2 + 2) * 2) + 1))
A133883: 1 4 1 2 8 2 3 3 3 4 7 4 5 2 5 6
((x div ((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 2)) * (((2 + 2) * 2) + 1))
A068395: 0 0 0 0 9 9 9 9 18 18 27 27 36 36 36 45
((2 - loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),2)) * (((2 + 2) * 2) + 1))
A056965: 0 0 0 0 0 0 0 0 0 0 9 0 ~9 ~18 ~27 ~36
(loop(\(x,i).(((x + 2) * 2) + 1),x,((2 + 1) * 2)) * (((2 + 2) * 2) + 1))
A304172: 54 153 351 747 1539 3123 6291 12627 25299 50643 101331 202707 405459 810963 1621971 3243987
(if x <= 0 then 1 else (x - ((x - ((x * x) * (2 + 2))) * (((2 + 2) * 2) + 1))))
A318778: 1 28 128 300 544 860 1248 1708 2240 2844
((loop(\(x,i).(((2 + 1) * x) + 2),(2 + 2),x) * 2) * (((2 + 2) * 2) + 1))
A157508: 1440 2898 4356 5814 7272 8730 10188 11646 13104 14562 16020 17478 18936 20394 21852 23310
((if x <= 0 then 1 else ((x * 2) * 2)) - (((2 - x) * 2) div (((2 + 2) * 2) + 1)))
A058759: 1 4 8 13
A311816: 1 4 8 13 17 21 25 30 34 38 42 46 51 55 59 63
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(x + 2)) * (((2 + 2) * 2) + 1))
A159740: 18 270 3600 45000 540000 6300000 72000000 810000000 9000000000 99000000000 1080000000000 11700000000000 126000000000000 1350000000000000 14400000000000000 153000000000000000
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,x) div 2) * (((2 + 2) * 2) + 1))
A034967: 0 45 900 13500 180000 2250000 27000000 315000000 3600000000 40500000000 450000000000 4950000000000 54000000000000 585000000000000 6300000000000000 67500000000000000
((if ((x div ((2 + 2) + 1)) mod 2) <= 0 then x else (0 - x)) mod (((2 + 2) * 2) + 1))
A093150: 0 1 2 3 4 4 3 2 1 0 1 2 3 4 5 3
(((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + x) * (((2 + 2) * 2) + 1))
A016096: 9 18 27 36 45 54 63 72 81 90 99 117 126 135 144 153
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((2 + 2) * 2) + 1))
A175223: 9 10 12 14 18 20 24 26 30 36 38 44 48 50 54 60
((if ((x div (2 + 1)) - 2) <= 0 then 1 else (x * 2)) + (x mod (((2 + 2) * 2) + 1)))
A108690: 1 2 3 4 5 6 7 8 9 18 21 24 27 30 33 36
(loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),x,x) div (((2 + 2) * 2) + 1))
A294328: 0 2 32 432 5432 65432 765432 8765432 98765432 1098765432 12098765432 132098765432 1432098765432 15432098765432 165432098765432 1765432098765432
(loop(\(x,i).(x - ((2 - x) div (((2 + 1) * 2) + 1))),x,((2 + 2) * 2)) + 1)
A120193: 9 10 11 13 15 17 19 22 25 29 33 38 43 49 56 64
loop(\(x,i).(x + 1),((((x div 2) div ((2 + 2) + 1)) + x) - ((2 + 2) * 2)),1)
A094798: 1 1 1 1 1 1 1 1 1 2 4 5 6 7 8 9
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),2,((x mod ((2 + 2) * 2)) + 1))
A131973: 121 242 363 484 605 726 847 968 121 242 363 484 605 726 847 968
((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) div (((x * x) mod ((2 + 2) * 2)) + 1))
A029376: 1 0 0 0 1 0 0 0 1 1 0 1 2 1 0 1
((if (x - 1) <= 0 then x else (((((x div (2 + 2)) mod 2) + x) div (2 + 2)) + 2)) + 1)
A221671: 1 2 3 3 4 4 4 5 5 5 5 5 6 6 6 7
((x mod (if (x mod 2) <= 0 then 1 else (1 - (x div (((2 - x) div (2 + 2)) - 2))))) + 1)
A178544: 1 2 1 2 1 3 1 2 1 2 1 4 1 2 1 4
((((if x <= 0 then 1 else (x * 2)) * 2) - (x div (((2 - x) div (2 + 2)) - 2))) - 1)
A311426: 1 4 8 12 17 21 25 29 33 38 42 46 50 54 58 62
(((((if x <= 0 then 1 else x) + (x * 2)) - (((x div 2) + x) div (2 + 2))) * 2) + 1)
A288709: 3 7 13 17 23 29 33 39 43 49 55 59 65 71 75 81
(if x <= 0 then 1 else ((((x + 2) * x) div 2) mod ((x div ((x div (2 + 2)) + 2)) + 1)))
A339846: 1 0 0 1 0 1 0 1 1 1 0 2 0 1 1 3
((loop(\(x,i).(x * x),1,(x - (((1 - (x * x)) * x) * (2 + 2)))) * 2) - 1)
A243132: ~1 1 1351 19601 119071 470449 1431431 3650401 8193151 16692641 31521799 55989361 94558751 153090001 239104711 362074049
loop(\(x,i).(x * x),(2 + 1),(x - ((((((2 + 1) * x) + 2) * 2) * 2) + 1)))
A017504: 43046721 25600000000 852891037441 9682651996416 62259690411361 281474976710656 1001129150390625 2992179271065856 7837433594376961 18509302102818816 40213853471634241 81573072100000000
((loop(\(x,i).(x * 2),x,2) - 1) div ((((((x div 2) * x) mod 2) * 2) * 2) + 1))
A213244: 1 3 7 3 31 63 127 51 511 1023 2047 819 8191 16383 32767 13107
(((loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + (i div 2)),x,2) div 2) div 2) + 1)
A287997-A034144: 1 1 1 2 2 3 4 5 6 8 10 12 15 18 22 26
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) * 2) + 1))
A017082: 1 531441 24137569 244140625 1291467969 4750104241 13841287201 34296447249 75418890625 151334226289 282429536481 496981290961 832972004929 1340095640625 2081951752609 3138428376721
(1 - (if x <= 0 then 0 else (((((x * x) * (x - 2)) mod ((x div 2) + 2)) mod 2) + 1)))
A290975: 1 ~1 0 0 0 ~1 0 0 0 ~1 0 0 0 ~1 ~1 0
(x - (if (x - 1) <= 0 then x else (((((x - 2) * x) mod ((x div 2) + 2)) mod 2) + 1)))
A239904: 0 0 1 2 3 3 5 6 7 7 8 9 11 11 13 14
(((x div (2 + 2)) + 1) mod loop(\(x,i).(x * 2),((x mod ((x div 2) + 2)) div 2),1))
A278478: 0 0 1 0 0 0 0 0 1 1 1 3 0 0 0 4
((((x + 1) div ((if ((x - 1) mod (2 + 2)) <= 0 then 2 else (x mod 2)) + 2)) * 2) + 1)
A335115: 1 1 3 3 5 3 7 5 9 5 11 9 13 7 15 11
loop(\(x,i).(((2 + 2) + 1) * (x + 1)),(x div 2),((((x mod 2) * 2) * 2) + 1))
A133629: 1 5 10 30 55 155 280 780 1405 3905 7030 19530 35155 97655 175780 488280
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x div 2),((((x mod 2) * 2) * 2) + 1))
A018353: 1 5 7 35 49 245
((loop(\(x,i).(((x mod 2) + 1) * ((x * 2) + 1)),x,((x mod 2) * 2)) * 2) + 1)
A334930: 1 11 13 91 109 731 877 5851 7021 46811 56173 374491 449389 2995931 3595117 23967451
((if (x - 2) <= 0 then 1 else ((x div 2) + 2)) mod ((((x + 1) div 2) mod (2 + 2)) + 1))
A039997-A039995-A035232: 0 1 1 0 1 0 1 0 0 0 1 1 2 0 1 0
(loop(\(x,i).(((((i * i) + 1) * i) * i) + x),(x + 1),0) * ((2 + 2) + 1))
A249845: 10 110 560 1920 5170 11830 24080 44880 78090 128590 202400 306800 450450 643510 897760 1226720
(loop(\(x,i).(x * 2),(x - ((x div ((2 + 2) + 1)) * 2)),1) mod ((2 + 2) + 1))
A275117: 1 2 4 3 1 3 1 2 4 3 4 3 1 2 4 2
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017333: 3125 759375 9765625 52521875 184528125 503284375 1160290625 2373046875 4437053125 7737809375 12762815625 20113571875 30517578125 44840334375 64097340625 89466096875
(loop(\(x,i).(((x * 2) * 2) + 1),(x + 1),((x mod 2) + 1)) div ((2 + 2) + 1))
A118108: 1 7 17 119 273 1911 4369 30583 69905 489335 1118481 7829367 17895697 125269879 286331153 2004318071
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod ((2 + 2) + 1))
A159984: 1 1 2 0 4 2 2 4 0 2 1 1 2 0 0 0
loop(\(x,i).((x * x) * x),1,((((x + 1) * 2) * (x + 1)) * ((2 + 2) + 1)))
A234787: 1000 64000 729000 4096000 15625000 46656000 117649000 262144000 531441000 1000000000 1771561000 2985984000 4826809000 7529536000 11390625000 16777216000
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) * ((2 + 2) + 1))
A177096: 40 490 4990 49990 499990 4999990 49999990 499999990 4999999990 49999999990 499999999990 4999999999990 49999999999990 499999999999990 4999999999999990 49999999999999990
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * 2) * ((2 + 2) + 1))
A173813: 10 190 1990 19990 199990 1999990 19999990 199999990 1999999990 19999999990 199999999990 1999999999990 19999999999990 199999999999990 1999999999999990 19999999999999990
loop(\(x,i).((x * x) * x),1,(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))))
A017499: 729 8000 29791 74088 148877 262144 421875 636056 912673 1259712 1685159 2197000 2803221 3511808 4330747 5268024
loop(\(x,i).((x * x) * x),2,(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))))
A017505: 387420489 512000000000 26439622160671 406671383849472 3299763591802133 18014398509481984 75084686279296875 257327417311663616 760231058654565217 1999004627104432128 4611686018427387903
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((x + 1) * 2) div ((2 + 2) + 1)))
A315525: 1 6 11 17 22 28 34 39 45 50 56 62 67 73 78 84
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((x + 1) * 2) div ((2 + 2) + 1)))
A314840: 1 5 9 14 18 23 28 32 37 41 46 51 55 60 64 69
(((loop(\(x,i).((x + 2) * x),(2 + 1),x) * (x + 1)) div 2) div ((2 + 2) + 1))
A288604: 0 51 1968 26214 195312 1007769 4035360 13421772 38742048 99999999 235794768 515978034 1060449936 2066104677 3844335936 6871947672
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((1 - x) * 2) div ((2 + 2) + 1)))
A314145: 1 5 11 16 22 27 32 38 43 49 54 59 65 70 76 81
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((2 + 2) + 1))
A001750: 10 15 25 35 55 65 85 95 115 145 155 185 205 215 235 265
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((2 + 2) + 1))
A039703: 2 3 0 2 1 3 2 4 3 4 1 2 1 3 2 3
(if x <= 0 then 1 else ((x * 2) - ((1 - (((x - 2) * x) div 2)) div ((2 + 2) + 1))))
A231408: 1 2 4 6 9
A014011: 1 2 4 6 9 12 15 18 21 24 28 32 36 40 45 50
((x + 1) mod (if x <= 0 then 2 else (2 - (((2 - x) * (x - 2)) mod ((2 + 2) + 1)))))
A015941-A015605-A015437-A015101-A014933-A011643: 1 0 1 0 0 0 ~1 0 ~1 0 0 0 1 0 0 0
(loop(\(x,i).(x * x),1,((x div (2 + 1)) - (1 - (x * 2)))) mod ((2 + 2) + 1))
A082999: 1 1 4 1 4 0 4 0 4 0 4 1 4 1 1 1
((if (x mod 2) <= 0 then 1 else (x div ((2 + 2) * 2))) + ((x div 2) div ((2 + 2) + 1)))
A029241: 1 0 1 0 1 0 1 0 1 1 2 2 2 2 2 2
((if ((x mod (1 - ((x mod (2 + 2)) * 2))) mod 2) <= 0 then 1 else x) mod ((2 + 2) + 1))
A295632: 1 1 2 1 1 1 1 2 1 1 1 1 1 1 4 1
loop(\(x,i).(x - (((1 - (x * 2)) * 2) * ((2 + 2) + 1))),x,((2 + 2) + 1))
A233077: 5 95 1985 41675 875165 18378455 385947545 8104898435 170202867125 3574260209615 75059464401905 1576248752439995 33101223801239885 695125699826037575 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)),x,((2 + 2) + 1))
A251702: 5 10 120 280840 3691654113991480 4611686018427387903
(((x div ((if ((x div (2 + 2)) - 2) <= 0 then 2 else 0) + 2)) + x) + ((2 + 2) + 1))
A005049: 5 6 7 8 10 11 12 13 15 16 17 18 23 24 26 27
(((x div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2)) + x) + ((2 + 2) + 1))
A178096: 5 6 7 9 10 11 13 14 15 17 18 19 20 21 22 23
(loop(\(x,i).(((((x * x) + 2) * x) div (2 + 1)) + 2),2,x) - ((2 + 2) + 1))
A234281: 1 8 73 738
(((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) * 2) * 2) + x) * ((2 + 2) + 1))
A061821: 0 5 10 15 20 25 30 35 40 45 50 55 100 105 110 115
(x - ((1 - ((((if (x - 2) <= 0 then 0 else 2) * 2) * 2) + x)) div ((2 + 2) + 1)))
A167707: 0 1 3 5 7 8 9 10 11 13 14 15 16 17 19 20
((if x <= 0 then 1 else (2 - (((x mod 2) - (x div 2)) div 2))) - (x div ((2 + 2) + 1)))
A342866: 1 2 3 2 3 2 3 2 3 3 3 2 3 3 4 2
(((if ((x div (2 + 2)) - 2) <= 0 then 1 else 0) + (x * 2)) + (x div ((2 + 2) + 1)))
A190328: 1 3 5 7 9 12 14 16 18 20 23 25 26 28 30 33
((if x <= 0 then 1 else (2 div (((2 + 2) * 2) - (x div 2)))) + (x div ((2 + 2) + 1)))
A185325: 1 0 0 0 0 1 1 1 1 1 2 2 3 3 4 5
(if ((x div (2 + 2)) - (x mod ((2 + 2) + 1))) <= 0 then 1 else (x mod ((2 + 2) + 1)))
A250205: 1 1 1 1 1 0 1 1 1 1 0 1 2 1 1 0
(x - ((0 - ((if (((x div 2) - 2) - 2) <= 0 then 1 else x) + x)) div ((2 + 2) + 1)))
A324845: 1 2 3 4 5 7 8 9 10 11 14 16 17 19 20 21
loop(\(x,i).(((((x + 2) * 2) * (2 + 1)) div (i + 1)) + x),x,((2 + 2) + 1))
A166810: 5 26 82 208 460 922 1714 3001 5003 8006 12374 18562 27130 38758 54262 74611
(if x <= 0 then 1 else ((((2 + 2) * (2 + 1)) - 1) div (((0 - x) mod (2 + 2)) + 1)))
A130165: 1 2 3 5 11 2 3 5 11 2 3 5 11 2 3 5
(2 div ((((if ((x * x) mod ((x div 2) + 1)) <= 0 then 1 else 2) + x) mod (2 + 2)) + 1))
A339060: 1 0 0 1 0 0 0 1 0 0 2 1 0 0 2 1
(((loop(\(x,i).(x * 2),x,1) + 2) div ((2 + 2) + 1)) div ((x div (2 + 2)) + 1))
A260666: 0 0 1 2 1 3 6 13
((if (((x div (2 + 1)) + x) mod (2 + 1)) <= 0 then 1 else x) div ((x div (2 + 2)) + 1))
A332921: 1 1 2 3 2 0 3 0 2 0
((compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x) * (2 + 2)) + 1)
A022341: 1 5 9 17 21 33 37 41 65 69 73 81 85 129 133 137
(x mod (((((if (x mod 2) <= 0 then (x mod ((2 + 2) * 2)) else 1) + x) div 2) + 2) + 1))
A031007: 0 1 2 3 4 5 6 0 1 1 1 2 1 3 1 4
(((((if (x mod ((2 + 1) * 2)) <= 0 then ((x div 2) + 2) else 1) + x) div 2) div 2) + 1)
A097561: 1 1 1 2 2 2 3 3 3 3 3 4 6 4 4 5
((((x * x) * (x * x)) * (x * x)) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070666: 0 1 21 41 11 16 1 1 16 4 35 4 21 16 21 11
((loop(\(x,i).(((x mod (((2 + 1) * 2) + 1)) * (2 + 1)) + 2),x,2) div 2) + 1)
A182480: 2 5 3 9 6 8 2 5 3 9 6 8 2 5 3 9
((((x + 2) * 2) + x) div ((loop(\(x,i).((x mod (i + 1)) + 2),x,2) * 2) - 1))
A187816: 1 2 1 4 2 1 1 8 4 2 2 1 1 1 1 16
(((((if ((x div (2 + 1)) - 2) <= 0 then 1 else (x div (2 + 2))) + x) * 2) * 2) - 1)
A118894: 3 7 11 15 19 23 27 31 35 43 47 51 59 63 67 71
(2 div ((loop(\(x,i).(((x mod 2) * x) + (x div 2)),(x - 1),(x + 2)) div 2) + 1))
A326915: 1 1 1 0 1 0 2 0 0 2 2 0 0 2 2 0
(((if ((x + 2) mod (2 + 2)) <= 0 then (x div 2) else (x * 2)) mod ((x + 2) + 2)) + 1)
A255820: 1 3 2 7 1 2 4 4
((if x <= 0 then 2 else (x - (((((x div 2) + x) div (2 + 2)) - (x * 2)) * 2))) + 1)
A047924: 3 6 11 14 19 24 27 32 35 40 45 48 53 58 61 66
(((((if (x mod (2 + 1)) <= 0 then 2 else 1) + x) div (2 + 2)) + ((x * 2) * 2)) + 1)
A299405: 1 5 9 14 18 22 27 31 35 39 43 48 52 56 60 65
(loop(\(x,i).(((x div 2) div (((2 + 1) * 2) + 1)) + x),2,((x * 2) * 2)) + 1)
A314754: 1 5 9 13 19 23 27 33 37 41 46 51 55 59 65 69
(loop(\(x,i).((x div ((((2 + 2) * 2) * 2) - 1)) + x),2,((x * 2) * 2)) + 1)
A314752: 1 5 9 13 19 23 27 31 37 41 45 50 55 59 63 69
(loop(\(x,i).(x * x),1,((((x + 2) + 2) + 2) + 1)) * (((x * 2) * 2) + 1))
A245033: 49 320 729 1300 2057 3024 4225 5684 7425 9472 11849 14580 17689 21200 25137 29524
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((x * 2) * 2) + 1))
A016819: 1 78125 4782969 62748517 410338673 1801088541 6103515625 17249876309 42618442977 94931877133 194754273881 373669453125 678223072849 1174711139837 1954897493193 3142742836021
loop(\(x,i).((x div ((((2 + 2) * 2) * 2) - 1)) + x),2,(((x * 2) * 2) + 1))
A314753: 1 5 9 13 19 23 27 32 37 41 45 51 55 59 64 69
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((x * 2) * 2) + 1))
A051944: 1 5 18 65 238 882 3300 12441 47190 179894 688636 2645370 10192588 39373700 152443080 591385545
(x - (((x + 2) mod ((if (x mod 2) <= 0 then (x mod (2 + 1)) else (x div 2)) + 2)) - 1))
A318516: 1 1 3 2 5 3 7 4 7 5 11 6 13 7 15 8
((if ((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) <= 0 then (x mod 2) else 2) - 1)
A324113: ~1 0 ~1 1 ~1 1 ~1 1 1 1 ~1 1 ~1 1 1 1
(((loop(\(x,i).(x * 2),(x div 2),(((x mod 2) + 2) + 1)) + (x mod 2)) * 2) + 1)
A245179: 7 11 13 19 25 35 49 67 97 131 193 259 385 515 769 1027
loop(\(x,i).(x * 2),(((((x div (2 + 2)) + x) * (2 + 1)) + (x mod 2)) div 2),1)
A327493: 1 4 8 32 128 512 1024 4096 32768 131072 262144 1048576 4194304 16777216 33554432 134217728
loop(\(x,i).(x * 2),(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),1)
A046161: 1 2 8 16 128 256 1024 2048 32768 65536 262144 524288 4194304 8388608 33554432 67108864
((loop(\(x,i).(((((x + 1) * x) + 2) * 2) + 1),(x div 2),(x mod 2)) * 2) + 1)
A192591: 1 3 11 19 131
((loop(\(x,i).((x * 2) * 2),(x div 2),(2 - (x mod 2))) + ((x mod 2) * 2)) - 1)
A094360: 1 2 7 5 31 17 127 65 511 257 2047 1025 8191 4097 32767 16385
loop(\(x,i).((((2 + 2) + 1) * x) + (2 + 1)),(x div 2),(((x mod 2) * 2) + 1))
A026384: 1 3 8 18 43 93 218 468 1093 2343 5468 11718 27343 58593 136718 292968
loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),(x div 2),(((x mod 2) * 2) + 1))
A094627: 1 3 14 34 144 344 1444 3444 14444 34444 144444 344444 1444444 3444444 14444444 34444444
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x div 2),(((x mod 2) * 2) + 1))
A318165: 1 3 13
A018492: 1 3 13 39 169 507
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(x div 2),(((x mod 2) * 2) + 1))
A018691: 1 3 17 51 289 867
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((x mod 2) * 2) + 1))
A172022: 1 4 4 8 10 14 16 20 22 30 30 38 40 44 46 54
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + (((x mod 2) * 2) + 1))
A176569: 1 6 6 12 12 18 18 24 28 32 36 42 42 48 52 60
((if (((x * 2) mod (((x div 2) + 2) + 2)) - 1) <= 0 then (x + 1) else 0) div (2 + 1))
A083925: 0 0 0 1 0 0 0 2 3 0 0 0 0 0 0 0
(((if (x mod ((2 - ((x div (2 + 2)) mod 2)) * 2)) <= 0 then x else 0) + 1) div (2 + 1))
A114511: 0 0 0 0 1 0 2 0 3 0 0 0 4 0 5 0
(x - (1 - (loop(\(x,i).i,(x mod (((2 + 2) mod (x + 1)) + 1)),1) mod (2 + 1))))
A127388-A127382-A127381-A127380-A127379-A122350-A122349-A122282-A085170-A085169-A073289-A073288: 0 1 2 3 4 5 6 8 7 9 10 11 13 12 14 15
(((x mod (((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) * 2) + 1)) + 1) div (2 + 1))
A284938: 0 0 1 0 0 1 0 0 1 1 0 0 0 2 1 0
(((loop(\(x,i).((x + 2) * 2),(x + 1),(2 + 1)) * (2 + 1)) - 1) * (2 + 1))
A304509: 87 213 465 969 1977 3993 8025 16089 32217 64473 128985 258009 516057 1032153 2064345 4128729
(if x <= 0 then 1 else (((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1) * (2 + 1)))
A084103: 1 3 3 0 ~3 ~3 0 3 3 0 ~3 ~3 0 3 3 0
((loop(\(x,i).((2 + 2) * (x + 1)),x,((2 - x) mod (2 + 1))) + 1) div (2 + 1))
A113841: 1 3 7 71 199 455 4551 12743 29127 291271 815559 1864135 18641351 52195783 119304647 1193046471
(((((if (x mod 2) <= 0 then 2 else 0) + (x div 2)) * ((x div 2) + 1)) + 1) div (2 + 1))
A008796: 1 0 2 1 4 2 7 4 10 7 14 10 19 14 24 19
((((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 0) * (x + 1)) + 1) div (2 + 1))
A340978: 1 0 0 0 0 0 0 5 0 0 0 0 0 0 10 0
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * (2 + 1))
A086947: 21 291 2991 29991 299991 2999991 29999991 299999991 2999999991 29999999991 299999999991 2999999999991 29999999999991 299999999999991 2999999999999991 29999999999999991
((loop(\(x,i).((i * x) * (i + 2)),x,1) * (((x + 1) * 2) + 1)) div (2 + 1))
A060080: 1 5 56 1080 31680 1310400 72576000 5181926400 463325184000 50697529344000 6663103856640000 1035678099456000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod ((((2 + 2) + 1) mod ((x div 2) + 1)) + 2)) <= 0 then 2 else 1) * (2 + 1))
A023407: 6 3 3 6 6 3 6 3 6 3 3 3 3 3 6 3
((((loop(\(x,i).(i * x),x,(((2 + 1) * x) - 1)) div 2) div 2) + 1) div (2 + 1))
A227404: 0 0 1 4 22 140 1020 8400 77280 786240 8769600 106444800 1397088000 19718899200 297859161600 4794806016000
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070377: 1 5 25 17 4 20 19 14 16 26 22 2 10 23 7 8
(((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) * 2) + 1) div (2 + 1))
A319198: 0 1 1 3 3 4 4 4 5 5 7 7 8 8 9 9
(if x <= 0 then 1 else ((((((x * 2) * 2) + 1) * 2) div ((2 + 2) + 1)) * (2 + 1)))
A316026: 1 6 9 15 18 24 30 33 39 42 48 54 57 63 66 72
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 1 else (x div ((2 + 2) + 1))) + (2 + 1))
A179847: 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 6
((loop(\(x,i).((i + 2) * x),(x - 1),1) * (((x + 2) + 2) + 1)) div (2 + 1))
A097900: 1 2 7 32 180 1200 9240 80640 786240 8467200 99792000 1277337600 17643225600 261534873600 4140968832000 69742632960000
(((((2 + 2) * 2) * ((x * 2) + 1)) + (if (x - 2) <= 0 then 2 else 1)) div (2 + 1))
A028252: 3 8 14 19 24 29 35 40 45 51
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017561: 243 759375 14348907 90224199 345025251 992436543 2373046875 4984209207 9509900499 16850581551 28153056843 44840334375 68641485507 101621504799 146211169851 205236901143
(if x <= 0 then 1 else (((x + 2) * 2) - (((x div ((x mod 2) - 2)) + 1) mod (2 + 1))))
A161186: 1 6 8 9 10 12 15 18
(loop(\(x,i).((((x * x) + (2 + 2)) * 2) * (2 + 1)),2,(2 + 1)) - (2 + 1))
A011770: 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525 36525
(x - ((x - ((if (x - 1) <= 0 then 2 else ((x + 1) div 2)) mod (2 + 1))) div (2 + 1)))
A131807: 1 2 2 3 4 4 4 5 6 7 8 8 8 9 10 11
((x - (((if x <= 0 then 2 else 0) - 1) - (((2 + 2) * 2) * (2 + 1)))) * (2 + 1))
A295806: 69 78 81
((loop(\(x,i).(x - 2),(x - ((2 + 2) * 2)),x) + (x div (2 + 1))) div (2 + 1))
A210480: 0 0 0 1 1 2 2 3 3 3 3 2 2 2 2 2
((if x <= 0 then 1 else (x * 2)) - ((x - (((x * x) * x) div (2 + 1))) div (2 + 1)))
A222011: 1 2 4 8
A053798: 1 2 4 8 14 22 34 50 70 96 128 166 212 266 328 400
((loop(\(x,i).((x - (((x mod (2 + 1)) - 1) * 2)) * 2),x,2) + 1) div (2 + 1))
A078010: 1 0 1 3 4 9 19 36 73 147 292 585 1171 2340 4681 9363
(if ((x mod (2 + 1)) - 1) <= 0 then 1 else (((((x div 2) * x) mod 2) + 1) * (2 + 1)))
A230405: 1 1 3 1 1 3 1 1 3 1 1 6 1 1 3 1
(loop(\(x,i).((((x * 2) * (2 + 1)) - (x div 2)) * 2),(x + 2),1) * (2 + 1))
A203927: 396 4356 47916 527076 5797836 63776196 701538156 7716919716 84886116876 933747285636 10271220141996 112983421561956 1242817637181516 13670994008996676 150380934098963436 1654190275088597796
((loop(\(x,i).(((x + 1) * x) div 2),2,(x + 1)) * ((x + 2) + 1)) div (2 + 1))
A244882: 1 8 35 110 280 616 1218 2220 3795 6160 9581 14378 20930 29680 41140 55896
((loop(\(x,i).(((i * 2) + 1) * x),x,(x + 1)) * ((x + 2) + 1)) div (2 + 1))
A261065: 1 8 75 840 11025 166320 2837835 54054000 1137161025 26189163000 655383804075 17709112020600 513880482740625 15938200818540000 526174085058496875 4611686018427387903
((loop(\(x,i).(((x div 2) + x) * 2),x,(2 + 1)) * ((x * 2) + 1)) div (2 + 1))
A113071: 1 8 40 168 648 2376 8424 29160 99144 332424 1102248 3621672 11809800 38263752 123294312 395392104
((loop(\(x,i).((2 + 1) * x),(x - 1),(2 + 2)) * ((x * 2) + 1)) div (2 + 1))
A167682: 1 4 20 84 324 1188 4212 14580 49572 166212 551124 1810836 5904900 19131876 61647156 197696052
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) + 1) * (2 + 1)))
A016950: 729 531441 11390625 85766121 387420489 1291467969 3518743761 8303765625 17596287801 34296447249 62523502209 107918163081 177978515625 282429536481 433626201009 646990183449
((loop(\(x,i).(((x * x) div (2 + 1)) + 1),2,x) * ((x * 2) + 1)) mod (2 + 1))
A133698: 1 0 1 0 0 2 0 0 0 1 0 0 0 0 2 0
(((if (x - 2) <= 0 then 1 else (((x div 2) * x) * 2)) div ((x div 2) + 1)) mod (2 + 1))
A339445: 1 1 0 0 2 0 0 1 0 2 1 0 2 1 0 2
(1 - (((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * ((x mod 2) - 1)) div (2 + 1)))
A260438: 1 1 2 1 2 1 3 1 4 1 2 1 5 1 6 1
((compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) + 1) mod (2 + 1))
A036579: 1 2 0 1 0 2 1 2 0 2 1 0 1 2 0 1
((compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) - 1) mod (2 + 1))
A036586: 2 0 1 2 1 0 2 0 1 0 2 1 2 0 1 2
((((x * 2) + 1) * (2 + 1)) - (((if (x - 2) <= 0 then 0 else x) + 1) div (2 + 1)))
A261190: 3 9 15 20 26 31 37 43 48 54 60 65 71 77 82 88
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017201: 243 248832 4084101 24300000 90224199 254803968 601692057 1252332576 2373046875 4182119424 6956883693 11040808032 16850581551 24883200000 35723051649 50049003168
(((loop(\(x,i).((x * x) * x),1,((2 + 2) * (x + 1))) + x) + 1) * (2 + 1))
A295130: 195 1542 5193 12300 24015 41490 65877 98328 139995 192030 255585 331812 421863 526890 648045 786480
(((1 - loop(\(x,i).((x - 2) * 2),(x div (2 + 1)),0)) mod (x + 1)) mod (2 + 1))
A049239: 0 1 1 1 0 2 0 2 1 0 1 2 0 2 1 1
(((1 - (if ((x div 2) mod (2 + 1)) <= 0 then (x div 2) else 0)) mod (x + 1)) mod (2 + 1))
A306440: 0 1 1 1 1 1 2 0 1 1 1 1 2 0 1 1
(1 - (((if (x mod 2) <= 0 then ((1 - x) div (2 + 1)) else 1) mod (x + 1)) mod (2 + 1)))
A185276: 1 0 ~1 0 0 0 ~1 0 1 0 ~1 0 1 0 0 0
(((x - ((loop(\(x,i).(x * 2),x,2) mod (x + 1)) - 1)) * (x + 1)) mod (2 + 1))
A113448: 1 1 0 1 0 0 2 1 0 0 0 0 2 2 0 1
((loop(\(x,i).((x * x) * (x + 2)),1,((x * 2) + 1)) * (x + 1)) div (2 + 1))
A100430: 1 30 175 588 1485 3146 5915 10200 16473 25270 37191 52900 73125 98658 130355 169136
(loop(\(x,i).((((((2 + 2) + 1) * x) - 1) * x) div 2),2,(x + 1)) div (2 + 1))
A238471: 3 66 364 1197 2990 6293 11781 20254 32637 49980 73458 104371 144144 194327 256595 332748
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),1) mod ((x + 1) * (2 + 1)))
A191562: 1 1 1 1 7 1 7 1 1 19 7 1 7 7 28 1
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,((x + 1) * (2 + 1)))
A038629: 3 4 9 24 70 216 693 2288 7722 26520 92378 325584 1158924 4160240 15043725 54747360
(if x <= 0 then 2 else ((((x - 1) * 2) * ((2 + 2) + 1)) + ((x + 1) div (2 + 1))))
A274177: 2 0 11 21 31
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else (x mod (x - ((x + 1) mod (2 + 1)))))
A025847: 1 0 0 1 0 0 1 1 0 1 2 0 1 2 1 1
(compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),(x + 1)) * (2 + 1))
A290258: 3 6 12 15 24 27 30 48 51 54 60 63 96 99 102 108
(x - (1 - (loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x - 1)) div (2 + 1))))
A222010: 0 1 3 7
A055795: 0 1 3 7 15 30 56 98 162 255 385 561 793 1092 1470 1940
(((loop(\(x,i).((2 + 1) * x),(x - 2),x) * (x - 2)) * (x - 1)) div (2 + 1))
A052791: 0 0 0 6 72 540 3240 17010 81648 367416 1574640 6495390 25981560 101328084 386889048 1450833930
((loop(\(x,i).(x - (((x div 2) - 2) div (2 + 1))),2,x) + (x - 1)) * (2 + 1))
A277569: 3 9 15 18 21 27 33 39 45 51 54 57 63 69 75 81
((x * 2) - ((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (0 - 2)) div (2 + 1)))
A231407: 1 4 6
A079255: 1 4 6 9 12 15 18 20 23 26 28 31 34 36 39 42
(((((if x <= 0 then 1 else x) * 2) - ((x * x) div ((0 - 2) - 1))) * 2) div (2 + 1))
A231408: 1 2 4 6 9
A075354: 1 2 4 6 9 12 16 20 25 30 36 42 48 55 62 70
((((loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,1) + 2) + 1) * 2) * (2 + 1))
A305159: 24 126 330 738 1554 3186 6450 12978 26034 52146 104370 208818 417714 835506 1671090 3342258
(((((loop(\(x,i).(x * x),2,(x + 2)) * (x + 2)) * 2) - 1) * 2) * (2 + 1))
A224337: 378 2910 12282 37494 93306 201678 393210 708582 1199994 1932606 2985978 4455510 6453882 9112494 12582906 17038278
(if x <= 0 then 1 else (x div ((((x + 1) mod (((x mod 2) + 2) + 1)) + 2) * (2 + 1))))
A014678: 1 0 0 0 0 0 0 1 1 0 0 1 1 1 2 2
loop(\(x,i).(x * 2),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(2 + 1))
A160745: 3 3 6 6 6 6 12 12 6 6 12 12 12 12 24 24
(loop(\(x,i).(1 - (((x mod (i + 1)) + 2) * 2)),x,((2 + 1) * 2)) mod (2 + 1))
A205593: 0 0 0 1 0 0 2 0 0 1 2 2 1 0 0 2
(loop(\(x,i).(x * 2),x,1) - (((x mod 2) - ((x div (2 + 1)) mod 2)) * (2 + 1)))
A274817: 1 ~1 4 8 19 32 64 125 256 512 1027 2048 4096 8189 16384 32768
((((((if ((x div 2) - 2) <= 0 then 2 else 1) + x) * x) div (2 + 1)) * 2) div (2 + 1))
A194240: 0 0 1 3 5 7 9 12 16 20 24 29 34 40 46 53
(((loop(\(x,i).(x * 2),(x + 2),(x + 2)) * ((x + 2) + 1)) * 2) * (2 + 1))
A137885: 144 576 1920 5760 16128 43008 110592 276480 675840 1622016 3833856 8945664 20643840 47185920 106954752 240648192
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017597: 7776 1889568 24300000 130691232 459165024 1252332576 2887174368 5904900000 11040808032 19254145824 31757969376 50049003168 75937500000 111577100832 159494694624 222620278176
loop(\(x,i).((x * x) * x),1,(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))))
A017475: 343 5832 24389 64000 132651 238328 389017 592704 857375 1191016 1601613 2097152 2685619 3375000 4173281 5088448
loop(\(x,i).((x * x) * x),2,(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))))
A017481: 40353607 198359290368 14507145975869 262144000000000 2334165173090451 13537086546263552 58871586708267913 208215748530929664 630249409724609375 1689478959002692096 4108400332687853397 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1) * 2) * (2 + 1))
A175237: 6 186 1986 19986 199986 1999986 19999986 199999986 1999999986 19999999986 199999999986 1999999999986 19999999999986 199999999999986 1999999999999986 19999999999999986
((loop(\(x,i).(x - ((1 - (i + x)) div ((2 + 2) + 1))),x,1) div 2) div (2 + 1))
A241093: 0 0 0 0 1 1 1 2 3 4 5 7 8 11 13 17
((loop(\(x,i).((x * x) * (x - 2)),1,((x + 2) * (x + 1))) div 2) div (2 + 1))
A253285: 0 24 240 1200 4200 11760 28224 60480 118800 217800 377520 624624 993720 1528800 2284800 3329280
(((loop(\(x,i).(((i * 2) - 1) * x),x,(x + 2)) * (x + 1)) div 2) * (2 + 1))
A001194: 3 9 54 450 4725 59535 873180 14594580 273648375 5685805125 129636356850 3217338674550 86331921100425 2490343877896875 76844896803675000 2525635608280785000
loop(\(x,i).((((x * x) * (2 + 1)) * (2 + 1)) + 2),((x + 1) * 2),(2 + 1))
A128879: 62003 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((i * x) + 1) * (x + 1)),2,x) * (x + 1)) div 2) div (2 + 1))
A052459: 1 15 95 374 1105 2701 5775 11180 20049 33835 54351 83810 124865 180649 254815 351576
(if x <= 0 then 1 else ((((((x - 2) * x) div (2 + 2)) * (x - 1)) div 2) div (2 + 1)))
A274523: 1 0 0 0 1 2 5 8 14 20 30 40 55 70 91 112
(loop(\(x,i).(i * x),x,1) - (((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)))
A129949: 1 1 2 5 20 110 700 5005 40264 362796 3628680 39916635 479001380 6227020514 87178290836 1307674367545
((loop(\(x,i).(((x * x) - 1) * x),1,(((x * x) * x) + 1)) div 2) div (2 + 1))
A282612: 0 1 120 3654 45760 333375 1703016 6784540 22500864 64836045 167167000 393877506 861456960 1769830699 3447273480 6412923000
(((loop(\(x,i).((((2 + 2) * 2) + x) * 2),(x + 1),1) - 2) * 2) * (2 + 1))
A304830: 96 300 708 1524 3156 6420 12948 26004 52116 104340 208788 417684 835476 1671060 3342228 6684564
((((loop(\(x,i).(x * 2),(((x div 2) - 2) - 2),2) - 1) * 2) * 2) - (2 + 1))
A147340: 1 1 1 1 1 1 1 1 1 1 9 9 25 25 57 57
(((2 - (x mod (0 - ((if ((x div 2) - 2) <= 0 then 2 else 1) + 2)))) + 2) mod (2 + 1))
A287364: 1 1 0 2 1 1 1 0 2 1 0 2 1 0 2 1
(if x <= 0 then 1 else (x div (((x mod ((x mod ((2 + 2) + 1)) + 2)) + 2) * (2 + 1))))
A321378: 1 0 0 0 0 0 1 0 0 0 1 0 2 0 1 1
(((loop(\(x,i).((x div (2 + 2)) + x),x,((2 + 2) + 1)) div 2) * 2) div (2 + 1))
A130084: 1 2 2 2 3 4 4 6 7 8 10 13 16 20 26 32
(((x * 2) * 2) - (((x - (if (x - (2 + 2)) <= 0 then 1 else 2)) * 2) div (2 + 1)))
A284930: 1 4 8 11 14 18 22 25 28 32 35 38 42 45 48 52
((loop(\(x,i).(x div (2 - (x mod 2))),x,(((x + 2) + 1) * 2)) div 2) div (2 + 1))
A029357: 1 0 0 0 1 0 1 0 1 0 2 1 2 0 2 1
(((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + 1) * 2) * 2) div (2 + 1))
A095775: 1 2 4 5 6 8 9 10 12 16 17 18 20 21 22 24
(loop(\(x,i).(x * x),1,(((x div 2) * 2) - (((x + 1) div 2) div 2))) div (2 + 1))
A272212: 0 0 1 0 3 3 8 5 12 12 21 16 27 27 40 33
((((loop(\(x,i).((x * x) + 1),2,((x + 2) + 1)) div 2) div 2) div 2) div (2 + 1))
A203286: 4 12 28 57 104 176 280 425 620 876 1204 1617 2128 2752 3504 4401
((2 - ((x div 2) - ((if x <= 0 then 1 else (((x + 1) div 2) div 2)) mod 2))) mod (2 + 1))
A287160: 0 2 1 2 1 1 0 2 1 1 0 1 0 0 2 1
((if x <= 0 then 1 else ((x * x) mod (((((x + 1) div 2) div 2) + 2) + 2))) mod (2 + 1))
A338859-A301343-A265892-A153764: 1 1 0 1 1 0 1 1 1 0 1 2 1 1 0 1
(if (x - ((2 + 2) * 2)) <= 0 then x else (x - ((1 - ((2 + 2) * 2)) * (2 + 1))))
A024651: 0 1 2 3 4 5 6 7 8 30 31 32 33 34 35 36
(((loop(\(x,i).(((x + 2) + 2) + (x div (2 + 1))),x,2) div 2) div 2) + (2 + 1))
A120150: 3 4 6 8 10 14 18 24 32 43 57 76 102 136 181 241
((((if x <= 0 then 1 else (((((x * x) * 2) + 1) * x) * 2)) * 2) * 2) div (2 + 1))
A035471: 1 8 48 152 352 680 1168 1848 2752 3912 5360 7128 9248 11752 14672 18040
(((loop(\(x,i).(((x * x) div 2) div (2 + 1)),2,(x - 2)) div 2) + 2) div (2 + 1))
A308927: 0 0 0 0 0 0 0 1 1 2 3 5 7 11 16 22
((loop(\(x,i).((x + 1) * x),1,(((x div 2) - (x mod 2)) + 2)) div 2) div (2 + 1))
A008731: 1 0 2 1 3 2 5 3 7 5 9 7 12 9 15 12
((((((x + 2) + 2) * (if x <= 0 then 1 else 2)) div ((x mod 2) + 2)) + 2) div (2 + 1))
A304117: 1 1 2 2 3 2 4 3 4 3 5 4 6 4 6 4
(if x <= 0 then 1 else ((x div (1 - ((2 + 2) * (2 + 1)))) + ((2 + 2) * (2 + 1))))
A112122: 1 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10
((if (((x div 2) div (2 + 1)) mod 2) <= 0 then x else (0 - x)) mod ((2 + 2) * (2 + 1)))
A271832: 0 1 2 3 4 5 6 5 4 3 2 1 0 1 2 3
(((loop(\(x,i).(x * x),2,(x + 1)) * (x + 2)) * x) div ((2 + 2) * (2 + 1)))
A208954: 0 4 54 320 1250 3780 9604 21504 43740 82500 146410 247104 399854 624260 945000 1392640
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((2 + 2) * (2 + 1)))
A175225: 12 13 15 17 21 23 27 29 33 39 41 47 51 53 57 63
(((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) * 2) * (2 + 1))
A091455: 30 42 66 78 102 114 138 174 186 222 246 258 282 318 354 366
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * (2 + 1))
A138636: 12 18 30 42 66 78 102 114 138 174 186 222 246 258 282 318
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) * 2) * (2 + 1)))
A017526: 0 2985984 191102976 2176782336 12230590464 46656000000 139314069504 351298031616 782757789696 1586874322944 2985984000000 5289852801024 8916100448256 14412774445056 22483074023424
((if (x mod (2 + 1)) <= 0 then 1 else (((x mod (2 + 2)) * (x div 2)) div 2)) mod (2 + 1))
A209354: 1 0 1 1 0 1 1 1 0 1 2 1 1 0 1 1
(x - ((1 - (((if (((x div 2) - 2) - 2) <= 0 then 2 else 0) + x) * 2)) div (2 + 1)))
A188046: 1 3 5 6 8 10 11 13 15 16 17 18 20 22 23 25
((((if (x - 2) <= 0 then x else (2 - (x div ((0 - 2) - 1)))) + x) + 2) + (2 + 1))
A175382: 5 7 9 11 13 14 15 17 18 19 21 22 23 25 26 27
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017237: 7776 759375 7962624 39135393 130691232 345025251 777600000 1564031349 2887174368 4984209207 8153726976 12762815625 19254145824 28153056843 40074642432 55730836701
(loop(\(x,i).((((x * x) + 2) * x) * 2),1,(((x - 1) * x) div 2)) div (2 + 1))
A282819: 0 0 2 22 152 680 2270 6202 14672 31152 60810 110990 191752 316472 502502 771890
((((if ((x - 1) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2) + x) * 2) div (2 + 1))
A249569: 1 1 2 3 4 4 5 6 6 7 8 8 9 10 10 10
(if x <= 0 then 1 else ((((((x * x) * x) div ((2 + 2) * 2)) + x) * 2) * (2 + 1)))
A225384: 1 6 18 36 72 120
((((loop(\(x,i).((1 - x) * 2),x,(2 + 1)) mod (x + 2)) + x) * 2) mod (2 + 1))
A069848: 2 0 2 1 0 1 0 0 2 1 0 1 2 0 1 1
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (x * 2)) div (x + 2)) + (2 + 1))
A201471: 3 4 6 7 9 11 15 17 19 21 23 25 27 29 31 33
compr(\x.(((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)) div 2),((x + 2) div (2 + 1)))
A220845: 0 1 1 1 3 3 3 4 4 4 5 5 5 8 8 8
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2)) + ((x + 2) div (2 + 1)))
A029597: 0 2 3 4 6 7 8 10 11 12 14 15 16 18 19 22
(((((x div (2 + 2)) mod 2) - x) div 2) + (if x <= 0 then 1 else ((x * 2) * (2 + 1))))
A314161: 1 5 11 16 22 28 33 39 44 49 55 60 66 72 77 83
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + x) + ((x * 2) * (2 + 1)))
A221909: 1 14 63 364 2429 16842 117691 823592 5764857 40353670 282475319 1977326820 13841287285 96889010498 678223072947 4747561510048
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - x) - ((x * 2) * (2 + 1)))
A198397: 1 0 35 322 2373 16772 117607 823494 5764745 40353544 282475179 1977326666 13841287117 96889010316 678223072751 4747561509838
(((loop(\(x,i).((i + 2) * x),(x + 1),(2 + 2)) - (x * x)) * 2) - (2 + 1))
A143843: 21 91 469
(((x * 2) * 2) - (((1 - x) * (x - 1)) div loop(\(x,i).(x * x),2,(2 + 1))))
A312890: 1 4 9 13 17 21 25 29 33 37 41 46 50 54 59 63
((1 - compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x)) mod (2 + 1))
A036578: 1 0 2 1 2 0 1 0 2 0 1 2 1 0 2 1
((2 - compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x)) mod (2 + 1))
A036577: 2 1 0 2 0 1 2 1 0 1 2 0 2 1 0 2
(1 - (compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) mod (2 + 1)))
A029883: 1 0 ~1 1 ~1 0 1 0 ~1 0 1 ~1 1 0 ~1 1
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) + 1) * x) + (2 + 1)))
A016889: 243 32768 371293 1889568 6436343 17210368 39135393 79235168 147008443 254803968 418195493 656356768 992436543 1453933568 2073071593 2887174368
(if x <= 0 then 1 else (x - ((1 - (((x * x) div ((2 + 2) + 1)) + x)) div (2 + 1))))
A231405: 1 1 3 4 6 8 10 12 15 17 20 23 25 28 32 35
loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) - 1)) * (2 + 1)),x,(2 + 1))
A025226: 3 9 54 405 3402 30618 288684 2814669 28146690 287096238 2975361012 31241290626 331638315876 3553267670100 38375290837080 417331287853245
((if x <= 0 then 1 else ((x * 2) * 2)) - ((((x div 2) mod (2 + 1)) - x) div (2 + 1)))
A314677: 1 5 9 13 17 21 26 31 35 39 43 47 52 57 61 65
((loop(\(x,i).((x - (((x mod 2) * 2) - 1)) * (i + 1)),x,1) * x) div (2 + 1))
A305730: 0 0 2 8 60 440 3710 34608 355992 4004880 48948570 646121080 9163171732 138974771208 2244977073430 38485321258720
((x * 2) - (((((x div 2) + x) div (2 + 2)) - (if x <= 0 then 1 else x)) * (2 + 1)))
A285679: 3 5 10 12 17 22 24 29 31 36 41 43 48 53 55 60
((((x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) * (2 + 1))) * 2) + x) div (2 + 1))
A054860: 0 0 0 1 2 2 2 3 4 3 5 5 5 7 7 6
(((if (x - 1) <= 0 then x else (((x - ((x div 2) mod 2)) div 2) + 2)) + x) + (2 + 1))
A340855: 3 5 7 9 11 12 13 15 17 18 19 21 23 24 25 27
(if x <= 0 then 1 else (x - ((((((x div 2) + x) div 2) mod (2 + 2)) - x) div (2 + 1))))
A194467: 1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 19
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) * 2) - x) + (2 + 1))
A134591: 3 4 7 10 17 20 27 30 37 48 51 62 69 72 79 90
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (i + 1)) + (x * 2)),x,(2 + 1))
A080952: 3 21 112 504 2016 7392 25344 82368 256256 768768 2236416 6336512 17547264 47628288 127008768 333398016
((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) mod (((x div 2) * x) + (2 + 1)))
A288697: 1 1 0 1 10 1 10 1 10 1 10 1 10 1 10 1
(((x div ((if ((x mod (2 + 1)) mod 2) <= 0 then 2 else 0) + 1)) + 1) + (x div (2 + 1)))
A226122: 1 2 1 3 6 3 5 10 5 7 14 7 9 18 9 11
(if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else (x div (2 + 1)))
A034928: 1 1 1 1 1 1 1 2 2 1 1 3 4 4 1 1
(loop(\(x,i).(x * 2),x,1) - ((x div 2) - (((2 + 1) * 2) + (x div (2 + 1)))))
A076599: 7 8 9 14 21 37
(((loop(\(x,i).((x - 2) * x),(2 + 1),x) div (x + 1)) + 2) + (x div (2 + 1)))
A087038: 2 3 2 3 444
(((if ((2 - (x div (2 + 1))) mod (2 + 2)) <= 0 then 2 else 1) + x) + (x div (2 + 1)))
A119316: 1 2 3 5 6 7 10 11 12 13 14 15 17 18 19 21
(loop(\(x,i).(0 - (((x * 2) * 2) * 2)),(x div (2 + 1)),1) * (x mod (2 + 1)))
A088138: 0 1 2 0 ~8 ~16 0 64 128 0 ~512 ~1024 0 4096 8192 0
((((((if x <= 0 then 2 else x) * 2) mod (2 + 1)) * (2 + 1)) - 2) - (x mod (2 + 1)))
A167373: 1 3 ~1 ~2 3 ~1 ~2 3 ~1 ~2 3 ~1 ~2 3 ~1 ~2
((loop(\(x,i).((((x + 2) * 2) div (2 + 1)) + 1),(2 + 1),x) + x) mod (2 + 1))
A129688: 1 0 1 2 0 1 0 2 0 1 2 0 2 0 1 0
((loop(\(x,i).(((x + 2) + 2) + 1),((x div ((2 + 2) + 1)) - 1),x) * 2) + 1)
A066640-A014261: 1 3 5 7 9 11 13 15 17 19 31 33 35 37 39 51
(((((if (x mod ((2 + 1) * 2)) <= 0 then ((x div 2) - 2) else 1) + 1) * x) div 2) + 1)
A071786: 1 2 3 4 5 6 7 8 9 10 11 12 31 14 15 16
((compr(\x.((loop(\(x,i).(x * x),2,(x * x)) mod ((x * 2) + 1)) - 1),x) * 2) + 1)
A018358: 1 3 5 15 17 51 85 255
(loop(\(x,i).((((2 + 2) + 1) * x) - ((x * 2) mod ((2 + 2) + 1))),x,2) - 1)
A037675: 1 5 27 138 691 3455 17277 86388 431941 2159705 10798527 53992638 269963191 1349815955 6749079777 33745398888
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),((((2 + 2) + 1) * x) + 2),1)
A013895: 400 1280000000 4096000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),((((2 + 2) + 1) * x) + 2),1)
A013875: 225 170859375 129746337890625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),((((2 + 2) + 1) * x) + 2),1)
A013887: 324 612220032 1156831381426176 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),((((2 + 2) + 1) * x) + 2),1)
A013911: 576 4586471424 36520347436056576 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),((((2 + 2) + 1) * x) + 2),1)
A013871: 196 105413504 56693912375296 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013867: 169 62748517 23298085122481 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013859: 121 19487171 3138428376721 505447028499293771 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013883: 289 410338673 582622237229761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),((((2 + 2) + 1) * x) * 2),1)
A022261: 1 3922632451 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * (2 + 1))),((((2 + 2) + 1) * x) * 2),1)
A015401: 1 57154490053 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((2 + 1) * x) * (2 + 1))),((((2 + 2) + 1) * x) * 2),1)
A015397: 1 3138105961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - ((((2 + 2) + 1) * x) * 2)),((((2 + 2) + 1) * x) * 2),1)
A015398: 1 9090909091 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017285: 1 161051 4084101 28629151 115856201 345025251 844596301 1804229351 3486784401 6240321451 10510100501 16850581551 25937424601 38579489651 55730836701 78502725751
((loop(\(x,i).(((x * 2) - (x mod ((2 + 2) * 2))) * 2),(2 + 1),x) * 2) + 1)
A145850: 1 17 65 81 257 273 321 337 1025 1041 1089 1105 1281 1297 1345 1361
((loop(\(x,i).(((x * 2) - (x mod ((2 + 2) * 2))) * 2),(2 + 1),x) div 2) + 1)
A145818: 1 5 17 21 65 69 81 85 257 261 273 277 321 325 337 341
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),(((2 + 1) * x) + 2),1)
A013769: 441 4084101 37822859361 350277500542221 3243919932521508681 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),(((2 + 1) * x) + 2),1)
A013771: 484 5153632 54875873536 584318301411328 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(((2 + 1) * x) + 2),1)
A013765: 361 2476099 16983563041 116490258898219 799006685782884121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),(((2 + 1) * x) + 2),1)
A013773: 529 6436343 78310985281 952809757913927 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 2 else (x div (2 + 1))) + x) * 2) - 1)
A077797: 3 5 7 9 11 13 15 17 19 21 23 25 27 29 35 39
((compr(\x.((x + 1) mod ((loop(\(x,i).(x * 2),x,x) mod (x + 2)) + 1)),x) div 2) + 1)
A241912: 1 2 3 4 5 7 8 11 13 15 16 17 18 19 23 29
((((loop(\(x,i).((i * x) + 1),x,1) * (((x + 1) * x) + 1)) + x) div 2) + 1)
A082030: 1 4 19 106 685 5056 42079 390454 4000441 44881660 547457611 7215589954 102211815589 1548801969976 25000879886935 428332610385166
(((loop(\(x,i).((i + x) - ((x * 2) div ((x div 2) + 2))),x,1) + x) div 2) + 1)
A302833: 1 2 3 4 6 8 10 12 15 19 23 27 32 38 44 50
((compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x) * 2) + 1)
A190812: 1 3 5 7 11 15 17 23 31 35 47 53 63 71 95 107
((((if (x - 2) <= 0 then 2 else ((((x * 2) * 2) * 2) * (x + 1))) + x) * 2) - 1)
A174271: 3 5 7 197
(x - (loop(\(x,i).((1 - x) * x),1,((((2 + 2) * (x + 1)) + x) * 2)) - 1))
A157651: 57 308 759 1410 2261 3312 4563 6014 7665 9516 11567 13818 16269 18920 21771 24822
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(((x + 1) * x) div 2),1)
A135758: 1 1 5 132 16796 9694845 24466267020 263747951750360 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((x + 2) div ((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 2)) + x) * 2) + 1)
A105585: 1 3 7 9 11 13 17 19 21 23 29 31 33 37 39 41
((compr(\x.(((x + 1) * x) mod loop(\(x,i).(((x + 2) * x) + 1),2,2)),x) * 2) + 1)
A265423: 1 49 151 199 201 249 351 399 401 449 551 599 601 649 751 799
((x + 1) mod (if (x mod (2 + 1)) <= 0 then (2 - ((((x div 2) mod 2) - x) div 2)) else 1))
A035377: 1 0 0 1 0 0 2 0 0 3 0 0 5 0 0 7
((loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 2),(x - 2),x) div 2) + 1)
A307852: 1 1 2 22 267
(compr(\x.(loop(\(x,i).((i + x) * x),2,((2 + 2) + 1)) mod (x + 1)),(x + 2)) + 1)
A299114: 3 4 5 6 8 10
A051916: 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),((x + 2) * (x + 2)),1)
A013905: 234256 1207269217792 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((x + 2) * (x + 2)),1)
A013909: 279841 1801152661463 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x - 1) * x) div (i + 1)),2,((x + 2) + 1)) * ((x + 2) + 1))
A027777: 6 40 150 420 980 2016 3780 6600 10890 17160 26026 38220 54600 76160 104040 139536
loop(\(x,i).(((((((2 + 1) * x) + 2) * 2) * 2) + x) * x),1,((x + 2) + 1))
A228598: 141 240 365 516 693 896 1125 1380 1661 1968 2301 2660 3045 3456 3893 4356
loop(\(x,i).(((((x + 1) * 2) * ((x + 2) + 1)) * (x + 1)) * x),(x + 2),1)
A144588: 2439360 4611686018427387903
loop(\(x,i).((((((x * x) * (x + 2)) * 2) * 2) * (x + 1)) * x),(x + 2),1)
A064586: 35942400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((((2 - x) * 2) div (((2 + 2) * 2) + 1)) - 1)),(x - 2),1)
A318155: 1 1 1 2 3 5 7 10 13 17 22 28 35 44 55 68
loop(\(x,i).((2 + 1) * x),((x div (((2 + 2) * (2 + 1)) - 1)) + (x * 2)),1)
A074118: 1 9 81 729 6561 59049 531441 4782969 43046721 387420489 3486784401 94143178827 847288609443 7625597484987 68630377364883 617673396283947
(((((if (((x div 2) + 2) mod (2 + 2)) <= 0 then 2 else 1) + x) div 2) + (x * 2)) + 1)
A231407: 1 4 6
A298468: 1 4 6 9 12 14 16 19 21 24 26 29 32 34 36 39
(((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) * ((x * 2) + 1))
A219931: 1 6 5 28 9 22 13 120 17 38 21 92 25 54 29 496
(((((if x <= 0 then (2 + 2) else (x + 1)) + (2 + 1)) * 2) + 1) * ((x * 2) + 1))
A277385: 15 33 65 105 153 209 273 345 425 513 609 713 825 945 1073 1209
((loop(\(x,i).((2 + 1) * x),x,((x div (2 + 2)) + 2)) - 1) div ((x * 2) + 1))
A296852: 1 1 3 7 26 66
(loop(\(x,i).((x * x) * (2 + 1)),(2 + 1),((x * 2) + 1)) div ((x * 2) + 1))
A016951: 2187 4782969 170859375 1801088541 10460353203 42618442977 137231006679 373669453125 897410677851 1954897493193 3938980639167 7446353252589 13348388671875 22876792454961 37725479487783
(loop(\(x,i).((x * x) * (2 + 2)),(2 + 1),((x * 2) + 1)) div ((x * 2) + 1))
A017119: 16384 35831808 1280000000 13492928512 78364164096 319277809664 1028071702528 2799360000000 6722988818432 14645194571776 29509034655744 55784660123648 100000000000000 171382426877952 282621973446656 450766669594624
(loop(\(x,i).((((x - ((x div 2) mod 2)) div 2) + x) + 2),x,1) div ((x * 2) + 1))
A206739: 1 1 1 1 1 2 3 4 5 7 10 14 19 26 37 52
(if x <= 0 then 1 else (((x * 2) * 2) - ((1 - ((x * x) div 2)) div ((x * 2) + 1))))
A312895: 1 4 9 13 17 21 26 30 34 39 43 47 51 56 60 64
((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - x) - ((x * 2) + 1))
A168580: 2 1 2 1 2 1 2 5 4 7 8 7 8 11 14 13
(loop(\(x,i).(((((x * x) div 2) + (x div (2 + 1))) div 2) + 2),1,(x div 2)) - 1)
A226748: 1 1 1 1 2 2 3 3 5 5 7 7 11 11 14 14
((((((if x <= 0 then 1 else x) + (x mod 2)) * (x + 1)) * (2 + 1)) + (x div 2)) + 1)
A228138: 4 13 20 50 63 111 130 196 221 305 336 438 475 595 638 776
loop(\(x,i).((x * 2) * 2),((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)),1)
A124399: 1 1 4 4 64 64 256 256 16384 16384 65536 65536 1048576 1048576 4194304 4194304
(((if ((x div 2) - 2) <= 0 then 1 else 2) * ((x mod (2 + 1)) + 1)) div ((x div 2) + 1))
A175832: 1 2 1 0 0 1 0 1 1 0 0 1 0 0 0 0
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x div 2),((x div 2) + 1))
A117187: 1 1 4 4 15 15 56 56 210 210 792 792 3003 3003 11440 11440
(if (2 - x) <= 0 then ((((x mod ((x div (2 + 2)) + 1)) div 2) + 1) + (x mod 2)) else 1)
A336737-A327400-A327399-A323303-A320732-A305149-A038548: 1 1 1 2 1 2 1 2 2 2 1 3 1 2 2 3
(if x <= 0 then 1 else ((((((x - 2) div (2 + 1)) mod 2) * (2 + 1)) - (x mod 2)) - 1))
A100051: 1 1 ~1 ~2 ~1 1 2 1 ~1 ~2 ~1 1 2 1 ~1 ~2
((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),1) + (x mod 2)) - 1)
A094624: 0 1 11 12 121 122 1221 1222 12221 12222 122221 122222 1222221 1222222 12222221 12222222
(((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + (x mod 2)) + 1)
A333570: 1 2 1 2 1 4 1 2 1 4 1 4 1 4 3 2
(((if (x - ((x * x) mod (((x + 2) + 2) + 1))) <= 0 then 0 else 2) + (x mod 2)) + 1)
A105498: 1 2 1 4 1 2 3 4 1 2 1 4 3 4 3 4
((((x mod (if (x - 2) <= 0 then 1 else (x div (2 + 1)))) div 2) + 1) * ((x mod 2) + 1))
A074944: 1 2 1 2 1 2 1 2 1 2 1 4 1 2 2 2
loop(\(x,i).(2 - (x - (((x * 2) * 2) * 2))),((x div 2) + 1),((x mod 2) + 1))
A198308: 9 16 65 114 457 800 3201 5602 22409 39216 156865 274514 1098057 1921600 7686401 13451202
(loop(\(x,i).(((x mod 2) + 2) * x),(x div 2),((x mod 2) + 1)) div ((x mod 2) + 1))
A258439: 1 1 3 2 9 4 27 8 81 16 243 32 729 64 2187 128
(loop(\(x,i).(((x * 2) * (2 + 1)) * ((2 + 2) + 1)),x,1) div ((x mod 2) + 1))
A157462: 1 15 900 13500 810000 12150000 729000000 10935000000 656100000000 9841500000000 590490000000000 8857350000000000 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),x,1) div ((x mod 2) + 1))
A156863: 1 11 484 5324 234256 2576816 113379904 1247178944 54875873536 603634608896 26559922791424 292159150705664 12855002631049216 141405028941541376 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) div ((x mod 2) + 1))
A234040: 1 1 5 7 42 66 429 715 4862 8398 58786 104006 742900 1337220 9694845 17678835
loop(\(x,i).(((1 - x) mod (2 + 2)) + ((x * 2) * 2)),(x div 2),((x mod 2) + 1))
A283216: 1 2 4 11 17 46 68 187 273 750 1092 3003 4369 12014 17476 48059
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(x div 2),((x mod 2) + 1))
A018610: 1 2 19 38 361 722
(((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1) * x) * ((x mod 2) + 1))
A109051: 0 10 10 30 20 10 30 70 40 90 10 110 60 130 70 30
((((if (x - 1) <= 0 then 2 else (((((x div 2) mod 2) + x) div 2) + x)) + x) * 2) + 1)
A282739: 5 7 11 17 21 25 31 37
((loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),((2 + 2) + 1),0) * x) + 1)
A135403: 1 111111 222221 333331 444441 555551 666661 777771 888881 999991 1111101 1222211 1333321 1444431 1555541 1666651
((((x * 2) * 2) div ((if (((2 + 2) * 2) mod (x + 1)) <= 0 then 2 else 0) + x)) + 1)
A226123: 1 2 5 3 5 5 5 4 5 5 5 5 5 5 5 5
(compr(\x.((x mod (((if (x mod 2) <= 0 then (x div (2 + 2)) else 1) * 2) + 1)) - 1),x) + 1)
A190850: 1 2 3 4 5 7 8 10 11 14 15 16 19 20 22 23
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + ((x + 1) mod (2 + 1))) + 1),x,1)
A037616: 1 12 110 991 8922 80300 722701 6504312 58538810 526849291 4741643622 42674792600 384073133401 3456658200612 31109923805510 279989314249591
loop(\(x,i).((x + 1) - (2 - ((x + 1) div (((x div 2) div (2 + 1)) + 1)))),x,1)
A222011: 1 2 4 8
A336627: 1 2 4 8 11 16 20 24 28 32 36 40 44 48 52 56
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + ((i * 2) mod (2 + 1))) + 1),x,1)
A037617: 1 13 132 1321 13213 132132 1321321 13213213 132132132 1321321321 13213213213 132132132132 1321321321321 13213213213213 132132132132132 1321321321321321
(((if (x - 2) <= 0 then x else ((((x div (2 + 2)) + x) div (2 + 1)) + 1)) + x) + 1)
A288513: 1 3 5 6 7 9 10 11 13 14 16 17 19 20 21 23
(compr(\x.(loop(\(x,i).(((x + 2) + 2) * 2),x,0) mod ((x div (2 + 1)) + 1)),x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A121166: 1 2 3 4 5 6 7 9 10 11 12 13 17 19 22 23
(compr(\x.((loop(\(x,i).(((x * 2) + 1) * 2),(x div 2),1) mod (x + 1)) - 1),x) + 1)
A261271-A257691-A257689-A257688-A186891: 1 2 3 5 7 11 13 17 19 23 25 29 31 37 41 43
(compr(\x.(2 - (x mod (x - ((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1)))),x) + 1)
A327907-A177713: 4 8 9 12 15 16 20 21 24 25 27 28 32 33 35 36
(compr(\x.((loop(\(x,i).(((i * i) * (i * i)) + x),x,1) mod (x + 1)) - 1),x) + 1)
A326715-A201879: 1 2 3 5 7 11 13 17 19 23 29 30 31 37 41 43
(compr(\x.(((loop(\(x,i).((x + 1) * (2 + 1)),x,1) div 2) mod (x + 1)) - 1),x) + 1)
A166684: 1 2 3 4 5 7 9 11 13 17 19 23 25 29 31 37
(compr(\x.((loop(\(x,i).(((x * x) * 2) - 1),2,(2 + 2)) mod (x + 1)) - 1),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A281624-A003401: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32
(if (x - 1) <= 0 then x else (compr(\x.(1 - (x mod (2 - (x mod ((0 - 2) - 1))))),x) + 1))
A045762: 0 1 4 6 8 9 10 11 12 14 15 16 18 20 21 22
loop(\(x,i).(x - (((((x * 2) * 2) div (i + 1)) + i) div ((0 - 2) - 1))),x,1)
A196126: 1 2 4 7 10 14 19 25 32 39 47 56 66 77 89 102
((((if (x - 1) <= 0 then x else ((((x div 2) * 2) div (2 + 1)) + 2)) + 1) * x) + 1)
A345888: 1 3 7 10 17 21 31 36 41 46 61 67 85 92 99 106
(2 div ((if ((x + 1) mod ((2 - ((x div 2) mod (2 + 1))) + 2)) <= 0 then 1 else x) + 1))
A100204: 2 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 1) * 2) + 1) * x) + 1))
A016997: 1 32768 759375 5153632 20511149 60466176 147008443 312500000 601692057 1073741824 1804229351 2887174368 4437053125 6590815232 9509900499 13382255776
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) - ((x div (2 + 1)) mod 2)) + 1),x,1)
A033136: 1 10 90 811 7300 65700 591301 5321710 47895390 431058511 3879526600 34915739400 314241654601 2828174891410 25453574022690 229082166204211
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + ((x div (0 - 2)) mod 2)) + 1),x,1)
A037542: 1 11 100 901 8111 73000 657001 5913011 53217100 478953901 4310585111 38795266000 349157394001 3142416546011 28281748914100 254535740226901
(((loop(\(x,i).i,(x - ((2 + 2) * 2)),1) * (((2 + 2) * 2) + 1)) + x) + 1)
A161561-A070839: 10 11 12 13 14 15 16 17 18 19 29 39 49 59 69 79
((loop(\(x,i).(x * x),1,(((x + 1) * (2 + 1)) * ((2 + 2) + 1))) + x) + 1)
A156814-A031708: 226 902 2028 3604 5630 8106 11032 14408 18234 22510 27236 32412 38038 44114 50640 57616
((loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) * ((2 + 2) + 1))) + x) + 1)
A031718: 401 1602 3603 6404 10005 14406 19607 25608 32409 40010 48411 57612 67613 78414 90015 102416
loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) * ((2 + 2) + 1)),x,1)
A156058: 1 5 50 625 8750 131250 2062500 33515625 558593750 9496093750 164023437500 2870410156250 50784179687500 906860351562500 16323486328125000 295863189697265625
((loop(\(x,i).(x * x),1,(x - (((2 + 2) * 2) * ((2 + 2) + 1)))) + x) + 1)
A060566: 1601 1523 1447 1373 1301 1231 1163 1097 1033 971 911 853 797 743 691 641
(((if (x - 1) <= 0 then 1 else (2 - (((2 - x) div 2) div ((2 + 2) + 1)))) + x) + 1)
A337139: 2 3 5 7 8 9 10 11 12 13 14 15 16 18 19 20
loop(\(x,i).(((x + 2) * x) * ((x + 2) + 2)),1,((((2 + 2) + 1) * x) + 1))
A079610: 15 480 2145 5760 12075 21840 35805 54720 79335 110400 148665 194880 249795 314160 388725 474240
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) + 1) * x) + 1))
A016866: 1 46656 1771561 16777216 85766121 308915776 887503681 2176782336 4750104241 9474296896 17596287801 30840979456 51520374361 82653950016 128100283921 192699928576
loop(\(x,i).(((((i * x) * (2 + 2)) div (i + 1)) + x) * ((2 + 2) + 1)),x,1)
A034687: 1 15 275 5500 115500 2502500 55412500 1246781250 28398906250 653174843750 15141780468750 353308210937500 8289154179687500 195387205664062500 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((((2 - x) * x) + 1) div (((x + 2) + 2) + 1)) + x),1)
A207872: 1 2 4 4 8 8 8 16 16 16 16 16 32 32 32 32
((((((if (x - (2 + 2)) <= 0 then 0 else 2) * 2) * (2 + 1)) * (2 + 1)) + x) + 1)
A028427: 1 2 3 4 5 42 43 44 45 46 47 48 49 50 51 52
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) - (x div (2 + 1))) * (2 + 1)),x,1)
A170746-A170708-A170660-A170612-A170564-A170516-A170468-A170420-A170372-A170324-A170276-A170228-A170180-A170132-A170084-A170036-A169568-A169520-A169472-A169424-A169376-A169328-A169280-A169232-A169184-A169136-A169088-A169040-A168992-A168944-A168896-A168848-A168800-A168752-A168704-A167942-A167698-A167226: 1 27 702 18252 474552 12338352 320797152 8340725952 216858874752 5638330743552 146596599332352 3811511582641152 99099301148669952 2576581829865418752 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) * (2 + 1)),x,1)
A156128: 1 6 72 1080 18144 326592 6158592 120092544 2401850880 48997757952 1015589892096 21327387734016 452796847276032 9702789584486400 209580255024906240 4558370546791710720
(((((if (x - 2) <= 0 then 1 else ((x * x) * 2)) * (x + 1)) div (2 + 1)) + x) + 1)
A110881: 1 2 4 28 58
(((loop(\(x,i).((((x * 2) * 2) div (i + 1)) + i),x,1) div (2 + 1)) + x) + 1)
A299495: 1 3 5 7 8 10 11 12 13 14 16 17 18 19 21 22
loop(\(x,i).(((((x * 2) + 1) * (2 + 1)) + x) - ((i - 1) mod (2 + 1))),x,1)
A037614: 1 10 72 505 3538 24768 173377 1213642 8495496 59468473 416279314 2913955200 20397686401 142783804810 999486633672 6996406435705
(x - (loop(\(x,i).((1 - x) * x),1,((((x + 1) * 2) * (2 + 1)) + x)) - 1))
A157373: 31 158 383 706 1127 1646 2263 2978 3791 4702 5711 6818 8023 9326 10727 12226
(((((if (x - 2) <= 0 then x else (2 - (x div (0 - 2)))) * 2) div (2 + 1)) + x) + 1)
A064427: 1 2 4 6 7 9 10 12 13 14 15 17 18 20 21 22
(((((((x + 2) div ((if x <= 0 then 1 else 2) + 1)) * 2) * 2) div (2 + 1)) + x) + 1)
A288927: 2 3 4 5 7 8 9 12 13 14 16 17 18 20 21 22
loop(\(x,i).((2 + 1) * x),(((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x),1)
A067623: 1 3 9 81 243 729 6561 19683 59049 1594323 4782969 14348907 129140163 387420489 1162261467 10460353203
((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2) + 2) * (2 + 1)) + x) + 1)
A297284-A296754: 16 17 18 19 20 21 22 23 24 25 26 27 31 32 33 34
(if x <= 0 then 1 else ((((x - (x mod (1 - ((2 + 2) * 2)))) div (2 + 1)) + x) - 1))
A032880-A032847: 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 21
(if x <= 0 then 0 else ((((x - 1) * x) div ((((2 + 2) * 2) * (2 + 1)) - x)) + 1))
A061287: 0 1 1 1 1 2 2 3 4 5 7 9 12 15 19 24
((((((if ((x div (2 + 1)) - 2) <= 0 then 0 else x) div 2) * 2) div (2 + 1)) + x) + 1)
A226900: 1 2 3 4 5 6 7 8 9 12 14 15 17 18 19 20
((((x * x) * (x * x)) * (x * x)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A001594: 1 7 100 945 5392 23401 93312 397585 1941760 10609137 61466176 364568617 2179768320 13065520825 78371693632 470196375201
loop(\(x,i).(((((i mod (2 + 1)) div 2) + 1) + x) + ((x * 2) * (2 + 1))),x,1)
A037532: 1 8 58 407 2850 19952 139665 977656 6843594 47905159 335336114 2347352800 16431469601 115020287208 805142010458 5635994073207
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((2 + 1) * x) + 1))
A016783: 1 16384 823543 10000000 62748517 268435456 893871739 2494357888 6103515625 13492928512 27512614111 52523350144 94931877133 163840000000 271818611107 435817657216
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 1))
A051924: 1 4 14 50 182 672 2508 9438 35750 136136 520676 1998724 7696444 29716000 115000920 445962870
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,(((2 + 1) * x) + 1))
A181490: 1 2 6 18
A071721: 1 2 6 18 56 180 594 2002 6864 23868 83980 298452 1069776 3863080 14040810 51325650
((x * 2) div loop(\(x,i).(0 - x),x,((x div ((1 - (x mod (2 + 1))) - x)) - 1)))
A255368: 0 1 ~2 2 ~4 5 ~4 7 ~8 6 ~10 11 ~8 13 ~14 10
loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) * i) * ((i * 2) + 1)),x,1)
A161149: 1 12 1440 604800 609638400 1207084032000 4142712397824000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) * ((i mod 2) + 1)),x,1)
A137697: 1 2 4 20 56 336 1056 6864 22880 155584 537472 3762304 13312768 95091200 342328320 2481880320
loop(\(x,i).(((x div (((x mod ((2 + 2) + 1)) + 2) * (2 + 1))) + x) + 1),x,1)
A180042: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 24
loop(\(x,i).(((((((x div 2) + x) * 2) + 1) div ((i * 2) + 1)) + x) + 1),x,1)
A097911: 1 3 5 8
A001463: 1 3 5 8 11 15 19 23 28 33 38 44 50 56 62 69
loop(\(x,i).((((x div ((((x div 2) div (2 + 1)) + 2) + 1)) mod 2) + x) + 1),x,1)
A080587: 1 2 3 5 7 9 10 11 12 13 14 15 17 19 21 23
loop(\(x,i).(((x div ((((2 + 2) + 1) mod ((x div 2) + 1)) + 2)) + x) + 1),x,1)
A193622: 1 2 3 5 7 10
A119565: 1 2 3 5 7 10 12 14 17 20 23 27 31 36 42 49
loop(\(x,i).(((((((2 - (x div 2)) * (x + 1)) div 2) div 2) mod 2) + x) + 1),x,1)
A076054: 1 3 5 6 7 8 10 12 14 16 17 19 21 22 23 24
loop(\(x,i).(((((((x - 2) * x) div ((2 + 2) * 2)) div 2) mod 2) + x) + 1),x,1)
A092253: 1 3 4 5 6 8 10 12
A284746: 1 3 4 5 6 8 10 12 14 15 16 17 19 20 21 22
loop(\(x,i).((((((x - 2) * 2) div ((x div (2 + 2)) + 2)) mod 2) + x) + 1),x,1)
A079905: 1 3 5 6 7 9 11 12 13 14 15 17 19 21 23 24
((loop(\(x,i).(((((x div (2 + 1)) + x) div (i + 1)) + x) + 2),x,1) - x) - 1)
A109512: 0 1 3 6 9 13 17 22 27 32 38 44 50 57 64 71
(compr(\x.(loop(\(x,i).(((2 - x) + 1) * (x + 2)),(2 + 1),0) mod (x + 1)),x) + 1)
A018537: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594
(compr(\x.(loop(\(x,i).(((x + 2) * (x + 2)) * (2 + 1)),2,0) mod (x + 1)),x) + 1)
A018534: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196
(compr(\x.(loop(\(x,i).(((2 - x) * (2 + 2)) * (x + 2)),2,0) mod (x + 1)),x) + 1)
A018772: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36
(compr(\x.((x div (2 + 2)) - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))),x) + 1)
A196149: 1 2 3 4 6 8 9 10 12 15 16 18 20 21 24 27
(compr(\x.(loop(\(x,i).(((x + 2) * x) * 2),((2 + 2) + 1),1) mod (x + 1)),x) + 1)
A054784: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42
((loop(\(x,i).(x * x),1,((((2 + 2) * (2 + 1)) + 1) * (x + 1))) + x) + 1)
A173275-A031704: 170 678 1524 2708 4230 6090 8288 10824 13698 16910 20460 24348 28574 33138 38040 43280
(compr(\x.((loop(\(x,i).((x * x) * (x * 2)),(2 + 1),2) - 1) mod (x + 1)),x) + 1)
A003546: 1 3 5 11 15 17 25 31 33 41 51 55 75 85 93 123
(compr(\x.(loop(\(x,i).((((x + 2) + 1) * x) * (2 + 1)),2,1) mod (x + 1)),x) + 1)
A134950-A018509: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45
(compr(\x.(loop(\(x,i).(((x + 1) * x) * ((x + 2) + 1)),2,1) mod (x + 1)),x) + 1)
A018649: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66
(compr(\x.(loop(\(x,i).(((x + 1) * x) * ((x * 2) + 1)),2,1) mod (x + 1)),x) + 1)
A018511: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546
(compr(\x.(loop(\(x,i).(((i + x) * (x + 1)) * (x + 1)),2,1) mod (x + 1)),x) + 1)
A018659: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135
(compr(\x.(loop(\(x,i).((((x + 2) * 2) + x) * (x + 1)),2,1) mod (x + 1)),x) + 1)
A018594: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690
(compr(\x.((loop(\(x,i).(((x * x) * (2 + 2)) - 1),2,2) + 1) mod (x + 1)),x) + 1)
A018710: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45
(compr(\x.((loop(\(x,i).(x * x),(2 + 1),((2 + 2) * 2)) - 1) mod (x + 1)),x) + 1)
A003553-A003532: 1 3 5 7 9 13 15 17 21 35 39 45 51 63 65 85
(compr(\x.(1 - (loop(\(x,i).((i + 2) * x),((2 + 2) * 2),1) mod (x + 1))),x) + 1)
A191599-A068191: 11 13 17 19 22 23 26 29 31 33 34 37 38 39 41 43
loop(\(x,i).(i - (((x div ((x mod ((x mod 2) + 2)) + 2)) + 1) mod (x + 1))),x,1)
A151662: 1 0 2 1 3 3 4 4 5 7 7 8 7 10 8 10
(compr(\x.((loop(\(x,i).(((x * x) * x) - 1),2,(2 + 2)) + 1) mod (x + 1)),x) + 1)
A003594: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 729
(compr(\x.((loop(\(x,i).(((i * x) * x) - 1),2,(2 + 2)) + 1) mod (x + 1)),x) + 1)
A018462: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150
(compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A192716-A159765-A003592: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125
(compr(\x.(loop(\(x,i).((x - i) * (x + 2)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A018642: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60
(compr(\x.(loop(\(x,i).(((x - i) * x) * x),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A108513: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49
(compr(\x.(loop(\(x,i).(((((x + 2) + 2) + 1) * x) * 2),2,1) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018438: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408
(compr(\x.(loop(\(x,i).((x * x) * x),2,(((x mod 2) + 2) + 1)) mod (x + 1)),x) + 1)
A006899: 1 2 3 4 8 9 16 27 32 64 81 128 243 256 512 729
(compr(\x.(loop(\(x,i).(((x - 1) * x) * (2 + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A018721: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918
(compr(\x.(loop(\(x,i).(((i + x) + 2) * (x + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A018598: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175
(compr(\x.(loop(\(x,i).(((i + 1) * x) * (x + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A329469: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30
(compr(\x.(loop(\(x,i).(((i + x) * i) * (x + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A018550: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204
(compr(\x.(loop(\(x,i).((((x * x) * x) + 2) * 2),2,(2 + 1)) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018419: 1 2 3 4 6 12 31 62 93 124 186 372
(compr(\x.(loop(\(x,i).((((i + x) - 1) * x) * 2),2,(2 + 1)) mod (x + 1)),x) + 1)
A018591: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228
(compr(\x.(loop(\(x,i).(((x div 2) + x) * (x + 2)),2,(2 + 1)) mod (x + 1)),x) + 1)
A018578: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55
(compr(\x.(loop(\(x,i).(((x * x) * 2) - (x div 2)),2,(2 + 1)) mod (x + 1)),x) + 1)
A018524: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570
(compr(\x.(loop(\(x,i).(((1 - (x * x)) * x) div 2),2,(2 + 1)) mod (x + 1)),x) + 1)
A018687: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858
(compr(\x.(loop(\(x,i).((((x + 2) + 2) + 1) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018253: 1 2 3 4 6 8 12 24
A018597: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696
(compr(\x.(loop(\(x,i).(((i mod 2) + (x * 2)) * x),2,(2 + 1)) mod (x + 1)),x) + 1)
A018700: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294
(compr(\x.(loop(\(x,i).((x + 2) * x),2,((2 - x) * (2 + 1))) mod (x + 1)),x) + 1)
A057245-A018282: 1 3 9 11 33 99
A027894: 1 3 9 11 33 99 101 303 909 1111 3333 9999
(compr(\x.(loop(\(x,i).(((x * x) * (x - 1)) div 2),2,(x - 1)) mod (x + 1)),x) + 1)
A018295: 1 2 3 6 7 9 14 18 21 42 63 126
(compr(\x.(loop(\(x,i).((((x * x) + 1) * x) div 2),2,(x - 1)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018296: 1 2 5 10 13 26 65 130
(compr(\x.(loop(\(x,i).(((x + 2) * x) * (x - 1)),(2 + 1),2) mod (x + 1)),x) + 1)
A027902: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40
(compr(\x.(loop(\(x,i).(((x * 2) - 1) * (x + 2)),(2 + 1),2) mod (x + 1)),x) + 1)
A018393: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324
(compr(\x.(loop(\(x,i).((((i * 2) + x) + 1) * x),(2 + 1),2) mod (x + 1)),x) + 1)
A018305: 1 2 3 5 6 10 15 25 30 50 75 150
(compr(\x.(loop(\(x,i).(((i + x) * (x + 2)) * (2 + 1)),2,2) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018343: 1 2 3 4 6 12 19 38 57 76 114 228
(compr(\x.(loop(\(x,i).(((x - 1) * x) * ((x * 2) - 1)),2,2) mod (x + 1)),x) + 1)
A018396: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330
(compr(\x.(loop(\(x,i).((((x + 1) * 2) + 1) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A018762: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66
(compr(\x.(loop(\(x,i).((((i + x) * x) + 1) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018277: 1 2 4 8 11 22 44 88
A018749: 1 2 4 8 11 22 44 88 121 242 484 968
(compr(\x.(loop(\(x,i).((((x + 2) + 2) + 2) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A018626: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750
(compr(\x.(loop(\(x,i).(((x + 2) * (x + 2)) * (i + 1)),2,2) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018333: 1 2 3 4 6 12 17 34 51 68 102 204
(compr(\x.(loop(\(x,i).(((1 - x) * (x + 2)) * (2 + 2)),2,2) mod (x + 1)),x) + 1)
A018740: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952
(compr(\x.(loop(\(x,i).(x * x),2,((((x mod 2) + 2) * 2) * 2)) mod (x + 1)),x) + 1)
A333978-A064527-A007694: 1 2 4 6 8 12 16 18 24 32 36 48 54 64 72 96
(compr(\x.(loop(\(x,i).((x - i) * x),(2 + 1),((2 + 2) * 2)) mod (x + 1)),x) + 1)
A318400: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27
(compr(\x.(loop(\(x,i).((((x + 2) * 2) + 1) * x),(2 + 2),2) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018619: 1 2 3 6 9 18 41 82 123 246 369 738
(compr(\x.(loop(\(x,i).((((2 + 1) * x) - 2) * (x + 2)),2,2) mod (x + 1)),x) + 1)
A018669: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(((x mod 2) * 2) * 2)) mod (x + 1)),x) + 1)
A193622: 1 2 3 5 7 10
A194948: 1 2 3 5 7 10 11 13 17 19 23 29 31 37 41 43
(compr(\x.(2 - (loop(\(x,i).(((x * x) * 2) - 1),2,(2 + 2)) mod (x + 1))),x) + 1)
A004169: 7 9 11 13 14 18 19 21 22 23 25 26 27 28 29 31
(compr(\x.(loop(\(x,i).(0 - (((x * x) * x) + 1)),2,(2 + 2)) mod (x + 1)),x) + 1)
A018461: 1 2 4 7 8 14 16 28 32 56 64 112 224 448
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),(((2 + 2) * (x + 1)) + x),1)
A013897: 160000 512000000000 1638400000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(((2 + 2) * (x + 1)) + x),1)
A013877: 50625 38443359375 29192926025390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),(((2 + 2) * (x + 1)) + x),1)
A013889: 104976 198359290368 374813367582081024 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(((2 + 2) * (x + 1)) + x),1)
A013873: 38416 20661046784 11112006825558016 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013869: 28561 10604499373 3937376385699289 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013861: 14641 2357947691 379749833583241 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013885: 83521 118587876497 168377826559400929 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).((((i * x) * (x + 1)) + 2) * x),2,2) mod (x + 1)),x) + 1)
A191282: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32
(compr(\x.(loop(\(x,i).(((((2 + 2) * 2) + x) + 2) * x),2,2) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018662: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136
(compr(\x.(loop(\(x,i).((x - 2) * (x - 1)),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018254: 1 2 4 7 14 28
A018660: 1 2 4 7 14 28 29 58 116 203 406 812
(compr(\x.(loop(\(x,i).((2 - x) * (x - 1)),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018763: 1 2 4 8 16 31 32 62 124 248 496 992
(compr(\x.(loop(\(x,i).(((x - 2) * x) - 2),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018456: 1 2 3 6 73 146 219 438
(compr(\x.(loop(\(x,i).((x * x) - (x div 2)),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018388: 1 3 5 7 9 15 21 35 45 63 105 315
(compr(\x.(loop(\(x,i).((((x * x) + (2 + 1)) * x) * x),2,2) mod (x + 1)),x) + 1)
A018645: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784
(compr(\x.(loop(\(x,i).((((1 - x) * x) - 1) * (x * x)),2,2) mod (x + 1)),x) + 1)
A018302: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144
loop(\(x,i).((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + (2 div (x + 1))),x,1)
A170750-A170712-A170664-A170616-A170568-A170520-A170472-A170424-A170376-A170328-A170280-A170232-A170184-A170136-A170088-A170040-A169572-A169524-A169476-A169428-A169380-A169332-A169284-A169236-A169188-A169140-A169092-A169044-A168996-A168948-A168900-A168852-A168804-A168756-A168708-A167946-A167756-A167378-A167084: 1 31 930 27900 837000 25110000 753300000 22599000000 677970000000 20339100000000 610173000000000 18305190000000000 549155700000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * 2) * ((2 + 2) + 1)) + (2 div (x + 1))),x,1)
A170722-A170674-A170626-A170578-A170530-A170482-A170434-A170386-A170338-A170290-A170242-A170194-A170146-A170098-A170050-A170002-A169534-A169486-A169438-A169390-A169342-A169294-A169246-A169198-A169150-A169102-A169054-A169006-A168958-A168910-A168862-A168814-A168766-A168718-A167957-A167830-A167598-A167094-A166714: 1 41 1640 65600 2624000 104960000 4198400000 167936000000 6717440000000 268697600000000 10747904000000000 429916160000000000 4611686018427387903 4611686018427387903 4611686018427387903
A170760: 1 41 1640 65600 2624000 104960000 4198400000 167936000000 6717440000000 268697600000000 10747904000000000 429916160000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) * (2 + 1)) + (2 div (x + 1))),x,1)
A170718-A170670-A170622-A170574-A170526-A170478-A170430-A170382-A170334-A170286-A170238-A170190-A170142-A170094-A170046-A169578-A169530-A169482-A169434-A169386-A169338-A169290-A169242-A169194-A169146-A169098-A169050-A169002-A168954-A168906-A168858-A168810-A168762-A168714-A167953-A167818-A167468-A167090-A166689: 1 37 1332 47952 1726272 62145792 2237248512 80540946432 2899474071552 104381066575872 3757718396731392 135277862282330112 4611686018427387903 4611686018427387903 4611686018427387903
A170756: 1 37 1332 47952 1726272 62145792 2237248512 80540946432 2899474071552 104381066575872 3757718396731392 135277862282330112 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * (2 + 1)) + (2 div (x + 1))),x,1)
A170730-A170682-A170634-A170586-A170538-A170490-A170442-A170394-A170346-A170298-A170250-A170202-A170154-A170106-A170058-A170010-A169542-A169494-A169446-A169398-A169350-A169302-A169254-A169206-A169158-A169110-A169062-A169014-A168966-A168918-A168870-A168822-A168774-A168726-A167988-A167879-A167646-A167102-A166855: 1 49 2352 112896 5419008 260112384 12485394432 599298932736 28766348771328 1380784741023744 66277667569139712 3181328043318706176 4611686018427387903 4611686018427387903 4611686018427387903
A170768: 1 49 2352 112896 5419008 260112384 12485394432 599298932736 28766348771328 1380784741023744 66277667569139712 3181328043318706176 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((2 + 2) * 2) * 2) + 1) * x) * 2) + (2 div (x + 1))),x,1)
A170754-A170716-A170668-A170620-A170572-A170524-A170476-A170428-A170380-A170332-A170284-A170236-A170188-A170140-A170092-A170044-A169576-A169528-A169480-A169432-A169384-A169336-A169288-A169240-A169192-A169144-A169096-A169048-A169000-A168952-A168904-A168856-A168808-A168760-A168712-A167951-A167789-A167405-A167088: 1 35 1190 40460 1375640 46771760 1590239840 54068154560 1838317255040 62502786671360 2125094746826240 72253221392092160 2456609527331133440 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.((loop(\(x,i).(x * x),2,(((2 + 2) + 1) * x)) + 2) mod (x + 1)),x) + 1)
A018557: 1 3 11 19 33 57 209 627
(compr(\x.(((loop(\(x,i).((x * x) * 2),2,(x - 2)) * x) + 2) mod (x + 1)),x) + 1)
A018569: 1 2 17 19 34 38 323 646
(compr(\x.(loop(\(x,i).(((x * x) + (2 + 1)) * x),2,(x - 2)) mod (x + 1)),x) + 1)
A018287: 1 2 3 4 6 9 12 18 27 36 54 108
(compr(\x.(loop(\(x,i).(((x * 2) - 1) * x),2,(1 - (x * 2))) mod (x + 1)),x) + 1)
A018454: 1 3 5 15 29 87 145 435
(compr(\x.(loop(\(x,i).(((x * x) * (2 + 1)) + 1),2,(x * 2)) mod (x + 1)),x) + 1)
A018493: 1 2 4 127 254 508
(compr(\x.(loop(\(x,i).(((x * x) + 1) * (2 + 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A018588: 1 2 3 6 113 226 339 678
(compr(\x.(loop(\(x,i).(((x * x) + 2) * (2 + 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A018755: 1 2 3 6 163 326 489 978
(compr(\x.(loop(\(x,i).(x - ((x * x) * (2 + 1))),2,(x * 2)) mod (x + 1)),x) + 1)
A018542: 1 2 7 14 43 86 301 602
(compr(\x.(loop(\(x,i).(((x - 2) * 2) * (x - 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A018774: 1 2 4 11 22 23 44 46 92 253 506 1012
(compr(\x.(loop(\(x,i).(((x - i) * 2) * (x - 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018510: 1 2 4 8 16 17 32 34 68 136 272 544
(compr(\x.(loop(\(x,i).(((x * x) * (2 + 1)) + 2),2,(x * 2)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018535: 1 2 5 10 59 118 295 590
(compr(\x.(loop(\(x,i).((((x * x) * 2) - 1) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A018643: 1 2 17 23 34 46 391 782
(compr(\x.(loop(\(x,i).((((x * x) - 1) * 2) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A018525: 1 2 4 11 13 22 26 44 52 143 286 572
(compr(\x.(loop(\(x,i).((((i * x) * x) + 2) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A005018: 1 2 4 5 10 20
A018530: 1 2 4 5 10 20 29 58 116 145 290 580
(compr(\x.(loop(\(x,i).((((x * x) + 1) * x) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018257: 1 2 4 5 8 10 20 40
(compr(\x.(loop(\(x,i).(x - ((2 - x) * (x * 2))),2,(x * 2)) mod (x + 1)),x) + 1)
A018406: 1 2 5 7 10 14 25 35 50 70 175 350
(compr(\x.(loop(\(x,i).(((x * x) * (2 + 1)) + x),2,(x * 2)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018386: 1 2 5 10 31 62 155 310
(compr(\x.(loop(\(x,i).((((i + 2) * x) + 1) * x),2,(x * 2)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018439: 1 2 5 10 41 82 205 410
(compr(\x.(loop(\(x,i).(((x * 2) + 1) * (2 - x)),2,(x * 2)) mod (x + 1)),x) + 1)
A018392: 1 2 7 14 23 46 161 322
(compr(\x.(loop(\(x,i).(((x * 2) - 1) * (2 - x)),2,(x * 2)) mod (x + 1)),x) + 1)
A018711: 1 2 11 22 41 82 451 902
(compr(\x.(loop(\(x,i).((((2 + 1) * x) - 2) * x),2,(x * 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018618: 1 2 4 8 16 23 32 46 92 184 368 736
(loop(\(x,i).((((x + 1) * x) * (x + 1)) * (2 + 1)),1,((x + 1) * x)) + 1)
A008402: 1 55 883 6085 26461 86491 232975 545833 1151065 2235871 4065931 7004845 11535733 18284995 28048231 41818321
(((loop(\(x,i).(((x * 2) + 1) * 2),x,1) div 2) + 1) div (((x + 1) * x) + 1))
A135445: 1 1 2 4 10
A245900: 1 1 2 4 10 27 79 239
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((x + 1) * x) + 1))
A034275: 1 3 14 65 294 1302 5676 24453 104390 442442 1864356 7818538 32657884 135950700 564306840 2336457645
(compr(\x.(loop(\(x,i).(((x * x) - 2) * 2),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018428: 1 2 4 97 194 388
(compr(\x.(loop(\(x,i).(x - ((x * x) * 2)),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018712: 1 3 7 21 43 129 301 903
(compr(\x.(loop(\(x,i).(((x * 2) + 1) * x),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018470: 1 3 5 15 31 93 155 465
(compr(\x.(loop(\(x,i).(((x * 2) - 1) * x),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018689: 1 3 7 21 41 123 287 861
(compr(\x.(loop(\(x,i).(((2 - x) + 2) * x),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018501: 1 3 5 7 15 21 25 35 75 105 175 525
(compr(\x.(loop(\(x,i).(((x - 2) * x) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A018753: 1 3 5 13 15 25 39 65 75 195 325 975
(compr(\x.(loop(\(x,i).(((1 - x) * x) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018514: 1 2 5 10 11 22 25 50 55 110 275 550
(compr(\x.(loop(\(x,i).((((x * x) + i) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018698: 1 2 3 4 6 12 73 146 219 292 438 876
(compr(\x.(loop(\(x,i).(((2 - x) * (x - 1)) * (x - 1)),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018288: 1 2 5 10 11 22 55 110
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 1)) + 2) * 2),2,x) mod (x + 1)),x) + 1)
A018544: 1 2 4 151 302 604
(compr(\x.(loop(\(x,i).(((((i * x) * x) + 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018496: 1 2 3 4 6 12 43 86 129 172 258 516
(compr(\x.(loop(\(x,i).((x - ((x * x) * (2 + 2))) * 2),2,x) mod (x + 1)),x) + 1)
A005018: 1 2 4 5 10 20
A018664: 1 2 4 5 10 20 41 82 164 205 410 820
(compr(\x.(loop(\(x,i).(((x * x) + (2 + 1)) * (x + 2)),2,x) mod (x + 1)),x) + 1)
A018290: 1 2 3 6 19 38 57 114
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 2)) + i) * 2),2,x) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018655: 1 2 3 4 6 12 67 134 201 268 402 804
(compr(\x.(loop(\(x,i).((((x * x) * (i + 1)) + 1) * x),2,x) mod (x + 1)),x) + 1)
A018276: 1 2 3 4 6 7 12 14 21 28 42 84
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) * 2) - 1) * x),2,x) mod (x + 1)),x) + 1)
A018564: 1 3 9 71 213 639
(compr(\x.(loop(\(x,i).(((((2 + 2) + 1) * x) - 1) * x),2,x) mod (x + 1)),x) + 1)
A018318: 1 2 3 6 29 58 87 174
(compr(\x.(loop(\(x,i).((1 - (((x * 2) * 2) * 2)) * x),2,x) mod (x + 1)),x) + 1)
A018576: 1 3 9 73 219 657
(compr(\x.(loop(\(x,i).((x - ((2 - x) * (2 + 2))) * x),2,x) mod (x + 1)),x) + 1)
A318165: 1 3 13
A018621: 1 3 13 19 39 57 247 741
(compr(\x.(loop(\(x,i).(((((i + 2) * 2) + i) * x) * x),2,x) mod (x + 1)),x) + 1)
A018483: 1 2 5 7 10 14 35 49 70 98 245 490
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) * 2) + i) * x),2,x) mod (x + 1)),x) + 1)
A018437: 1 2 7 14 29 58 203 406
(((((x * 2) mod ((x div (2 + 1)) + 2)) mod 2) + 1) * ((if x <= 0 then 1 else x) + 1))
A205006: 2 2 3 4 5 12 7 8 9 20 11 12 13 14 15 16
(((x * x) * x) div loop(\(x,i).((((i * i) + x) * (2 + 1)) div (i + 1)),x,1))
A229093: 0 0 1 2 4 6 9 12 17 22 27 34 41 48 57 66
loop(\(x,i).(((((i * x) * (i + 1)) div 2) * ((i * 2) - 1)) * (i + 1)),x,1)
A306266: 1 2 54 6480 2268000 1837080000 2970558360000 8650265944320000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) div (2 + 2)) + (((x * 2) + 1) * 2)) div (i + 1)),x,1)
A161696: 1 3 5 7 8 8 7 5 3 1 0 0 0 0 0 0
(loop(\(x,i).(((((2 + 1) * x) + 2) * (((2 + 2) * 2) + 1)) + 1),2,x) - 1)
A156772: 531 1260 1989 2718 3447 4176 4905 5634 6363 7092 7821 8550 9279 10008 10737 11466
loop(\(x,i).((((2 + 2) + 1) * x) mod ((((2 + 2) * (2 + 1)) - 1) * 2)),x,1)
A070375: 1 5 3 15 9 1 5 3 15 9 1 5 3 15 9 1
(loop(\(x,i).(x - (1 - (x mod ((((x mod 2) * 2) * (2 + 1)) + 1)))),2,x) - 1)
A140577: 3 0 0 8 4 9
(((((loop(\(x,i).(((x * 2) + 1) * i),(x - 1),0) div 2) + 1) div 2) + x) + 1)
A007364: 1 2 3 6 15 85
(loop(\(x,i).(x - ((((x - ((x mod (2 + 1)) div 2)) div 2) div 2) - 1)),2,x) - 1)
A275890: 1 2 3 3 3 4 5 6 7 7 7 8 8 9 9 10
loop(\(x,i).((((2 + 2) + 1) * x) mod (((((2 + 2) * 2) * 2) + 1) * 2)),x,1)
A070382: 1 5 25 23 13 31 19 27 33 29 9 11 21 3 15 7
loop(\(x,i).((x - ((x div 2) - (((x * 2) * 2) * ((2 + 2) + 1)))) * 2),x,1)
A170723-A170675-A170627-A170579-A170531-A170483-A170435-A170387-A170339-A170291-A170243-A170195-A170147-A170099-A170051-A170003-A169535-A169487-A169439-A169391-A169343-A169295-A169247-A169199-A169151-A169103-A169055-A169007-A168959-A168911-A168863-A168815-A168767-A168719-A167958-A167848-A167599-A167095-A166716: 1 42 1722 70602 2894682 118681962 4865960442 199504378122 8179679503002 335366859623082 13750041244546362 563751691026400842 4611686018427387903 4611686018427387903 4611686018427387903
A170761: 1 42 1722 70602 2894682 118681962 4865960442 199504378122 8179679503002 335366859623082 13750041244546362 563751691026400842 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x div (((2 + 2) * 2) + 1)) + x),(((2 + 2) + 1) * 2),x) + 1)
A103951: 1 2 3 4 5 6 7 8 9 21 23 25 27 29 32 35
loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + ((x div ((2 + 2) + 1)) + 2)),x,1)
A097911: 1 3 5 8
A167385: 1 3 5 8 12 17 24 33 45 61 82 110 147 196 261 347
loop(\(x,i).((x - ((x div 2) - (((x * 2) * (2 + 1)) * (2 + 1)))) * 2),x,1)
A170719-A170671-A170623-A170575-A170527-A170479-A170431-A170383-A170335-A170287-A170239-A170191-A170143-A170095-A170047-A169579-A169531-A169483-A169435-A169387-A169339-A169291-A169243-A169195-A169147-A169099-A169051-A169003-A168955-A168907-A168859-A168811-A168763-A168715-A167954-A167827-A167492-A167091-A166690: 1 38 1406 52022 1924814 71218118 2635070366 97497603542 3607411331054 133474219248998 4938546112212926 182726206151878262 4611686018427387903 4611686018427387903 4611686018427387903
A170757: 1 38 1406 52022 1924814 71218118 2635070366 97497603542 3607411331054 133474219248998 4938546112212926 182726206151878262 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x - ((x div 2) - ((((x * 2) * 2) * 2) * (2 + 1)))) * 2),x,1)
A170731-A170683-A170635-A170587-A170539-A170491-A170443-A170395-A170347-A170299-A170251-A170203-A170155-A170107-A170059-A170011-A169543-A169495-A169447-A169399-A169351-A169303-A169255-A169207-A169159-A169111-A169063-A169015-A168967-A168919-A168871-A168823-A168775-A168727-A167989-A167880-A167647-A167103-A166856: 1 50 2450 120050 5882450 288240050 14123762450 692064360050 33911153642450 1661646528480050 81420679895522450 3989613314880600050 4611686018427387903 4611686018427387903 4611686018427387903
A170769: 1 50 2450 120050 5882450 288240050 14123762450 692064360050 33911153642450 1661646528480050 81420679895522450 3989613314880600050 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(x mod ((if (x mod 2) <= 0 then 1 else (x div ((2 + 2) * (2 + 1)))) + 2)),x) + 1)
A225227: 1 7 13
A279831: 1 7 13 16 19 22 25 31 37 43 46 49 55 61 64 67
(((((x * x) * x) div loop(\(x,i).((x * x) * x),1,((2 + 1) * 2))) + x) + 1)
A226189: 1 2 3 4 5 6 8 9 11 13 15 18 21 24 27 31
(((((if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2) + (x div (2 + 1))) * 2) + x) - 1)
A072955: 1 2 5 8 9 10 11 12 15 18 19 20 21 22 25 28
(((((if ((x div 2) - 2) <= 0 then 1 else (2 + 2)) + (x div (2 + 1))) div 2) + x) + 1)
A345172-A339741-A335433-A212167-A179983-A175082: 1 2 3 5 6 7 10 11 12 13 14 15 17 18 19 20
(loop(\(x,i).((x div (((2 + 1) * 2) + 1)) + x),(((x div 2) - 1) div 2),x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A292050: 1 2 3 4 5 6 7 9 10 11 13 14 15 17 21 22
(compr(\x.((loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,0) mod (x + 1)) - 2),x) + 1)
A097296: 1 2 3 4 5 6 7 10 11 12 13 14 17 19 20 22
(compr(\x.((loop(\(x,i).((x + 2) * 2),x,((x mod 2) * 2)) mod (x + 1)) - 2),x) + 1)
A193461: 1 2 3 4 5 6 7 11 13 17 19 23 29 31 37 41
loop(\(x,i).((((((x * 2) * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * 2),x,1)
A156270: 1 8 128 2560 57344 1376256 34603008 899678208 23991418880 652566593536 18034567675904 504967894925312 14294475794808832 408413594137395200 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) mod ((((2 + 2) * 2) * (2 + 1)) + 1)) * 2) * 2),x,1)
A014392: 1 8 64 12 96 68 44 52 16 28 24 92 36 88 4 32
loop(\(x,i).(((2 + 1) * x) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2)),x,1)
A070362: 1 3 9 27 37 23 25 31 5 15 1 3 9 27 37 23
((((if (x - 2) <= 0 then 1 else x) - ((x - ((x mod (2 + 1)) div 2)) div 2)) + x) + 1)
A189725: 2 3 4 6 7 9 10 12 14 15 16 18 19 21 23 24
(loop(\(x,i).(((x div (((2 + 1) * 2) + 1)) + x) + ((x + 1) * 2)),2,x) + 1)
A107223: 9 18 28 37 47 56 65 78 87 97 106 116 125 135 147 157
((((x div ((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 2) + 2)) * 2) + x) + 1)
A261412: 1 2 3 4 7 8 9 10 13 16 17 18 19 20 21 22
loop(\(x,i).((x - ((x div (((((x mod 2) - 2) * 2) * 2) * 2)) mod 2)) + 2),x,1)
A032959: 1 2 3 4 5 6 7 8 9 11 13 15 17 18 20 22
loop(\(x,i).((2 div (i + 1)) - (((x - (((x * 2) * 2) * 2)) * 2) * 2)),x,1)
A170748-A170710-A170662-A170614-A170566-A170518-A170470-A170422-A170374-A170326-A170278-A170230-A170182-A170134-A170086-A170038-A169570-A169522-A169474-A169426-A169378-A169330-A169282-A169234-A169186-A169138-A169090-A169042-A168994-A168946-A168898-A168850-A168802-A168754-A168706-A167944-A167714-A167285-A167082: 1 29 812 22736 636608 17825024 499100672 13974818816 391294926848 10956257951744 306775222648832 8589706234167296 240511774556684288 4611686018427387903 4611686018427387903 4611686018427387903
(x - (loop(\(x,i).(x - (((x * x) div (x - ((2 - x) div 2))) mod 2)),2,x) - 1))
A088198: 1 2 1 1 2 3 1 1 2 1 2 3 1 1 2 1
loop(\(x,i).((((i * i) mod (2 + 1)) + (x * 2)) + (((x * 2) * 2) * 2)),x,1)
A267209: 1 11 111 1110 11101 111011 1110110 11101101 111011011 1110110110 11101101101 111011011011 1110110110110 11101101101101 111011011011011 1110110110110110
(((x * x) mod ((1 - (x div ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)))) + x)) + 1)
A014651: 1 1 1 1 1 1 1 2 1 1 1 5 1 1 1 6
(loop(\(x,i).(x - ((((x mod (2 + 2)) - 1) * 2) - 1)),(x div (2 + 2)),x) + 1)
A263694: 1 2 3 4 8 7 6 5 9 10 11 12 16 15 14 13
loop(\(x,i).(((((((2 + 2) * (2 + 1)) - 1) * x) * 2) - (x div 2)) * 2),x,1)
A170725-A170677-A170629-A170581-A170533-A170485-A170437-A170389-A170341-A170293-A170245-A170197-A170149-A170101-A170053-A170005-A169537-A169489-A169441-A169393-A169345-A169297-A169249-A169201-A169153-A169105-A169057-A169009-A168961-A168913-A168865-A168817-A168769-A168721-A167960-A167854-A167641-A167097-A166723: 1 44 1892 81356 3498308 150427244 6468371492 278139974156 11960018888708 514280812214444 22114074925221092 950905221784506956 4611686018427387903 4611686018427387903 4611686018427387903
A170763-A063821: 1 44 1892 81356 3498308 150427244 6468371492 278139974156 11960018888708 514280812214444 22114074925221092 950905221784506956 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x mod (2 + 1)) + (x * 2)) * (2 + 1)) + ((x div 2) mod 2)),x,1)
A037599: 1 9 54 325 1953 11718 70309 421857 2531142 15186853 91121121 546726726 3280360357 19682162145 118092972870 708557837221
loop(\(x,i).(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) - (x div 2)) * 2),x,1)
A170727-A170679-A170631-A170583-A170535-A170487-A170439-A170391-A170343-A170295-A170247-A170199-A170151-A170103-A170055-A170007-A169539-A169491-A169443-A169395-A169347-A169299-A169251-A169203-A169155-A169107-A169059-A169011-A168963-A168915-A168867-A168819-A168771-A168723-A167962-A167861-A167643-A167099-A166739: 1 46 2070 93150 4191750 188628750 8488293750 381973218750 17188794843750 773495767968750 34807309558593750 1566328930136718750 4611686018427387903 4611686018427387903 4611686018427387903
A170765: 1 46 2070 93150 4191750 188628750 8488293750 381973218750 17188794843750 773495767968750 34807309558593750 1566328930136718750 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) - (x mod 2)) * 2) * (2 + 1)) - (x mod 2)) * 2),x,1)
A067423: 1 10 240 5760 138240 3317760 79626240 1911029760 45864714240 1100753141760 26418075402240 634033809653760 15216811431690240 365203474360565760 4611686018427387903 4611686018427387903
((((1 - x) mod (((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 0) + x) div 2)) + x) + 1)
A064778: 1 2 3 4 6 6 10 10 10 10 12 12 16 16 16 16
((((((x - 1) * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) * 2) + x) + 1)
A033292: 1 2 5 6 9 12 13 16 19 22 23 26 29 32 35 36
loop(\(x,i).(((x div (((x div ((2 - (x mod 2)) + 2)) + 2) + 2)) + x) + 2),x,1)
A097911: 1 3 5 8
A248611: 1 3 5 8 11 14 18 22 26 30 34 38 42 47 51 55
(((x + 2) * x) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A073497: ~1 1 4 9 14 23 32 45 58 71 90 107 128 153 178 203
(loop(\(x,i).(x * x),2,(((2 + 2) + 1) * (x + 1))) * (((x + 2) * x) + 1))
A106321: 625 40000 455625
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) div (((x + 2) * x) + 1))
A024500: 2 1 2 4 10 25 70 201 600 1847 5830 18778 61542 204676 689411 2347970
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),(x + 2)) * (((x + 2) * x) + 1))
A129006: 12 432 7776 103680 1166400 11757312 109734912 967458816 8162933760 66512793600 526781325312 4074936532992 30901602041856 230390642442240 1692665944473600 12277470317248512
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),(x + 2)) * (((x + 2) * x) + 1))
A129008: 16 768 18432 327680 4915200 66060288 822083584 9663676416 108716359680 1181116006400 12472585027584 128642860449792 1300722255659008 12930256742645760 126663739519795200 1224979098644774912
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),x) * (((x + 2) * x) + 1))
A128990: 0 196 6174 115248 1680700 21176820 242121642 2582630848 26149137336 254227724100 2392565359030 21924598926384 196490913105396 1728112389619252 14954818756320450 127614453387267840
(((((((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1) * x) div (x + 2)) + x) + 1)
A275319: 1 3 4 5 7 9 10 11 13 14 15 16 17 18 19 20
loop(\(x,i).((((x + 1) div ((x div ((2 + 2) * 2)) + 2)) mod 2) + (x * 2)),x,1)
A125049: 1 3 6 13 26 53 106 213 427 855 1711 3423 6847 13695 27391 54783
loop(\(x,i).((((x - ((2 - (x div (2 + 2))) div 2)) div 2) mod 2) + (x * 2)),x,1)
A222011: 1 2 4 8
A195904: 1 2 4 8 16 32 65 130 260 520 1040 2080 4161 8322 16644 33288
((x mod 2) - ((((x div (2 + 1)) mod 2) * (2 + 1)) - loop(\(x,i).(x * 2),x,1)))
A143100: 1 3 4 6 13 30 64 129 256 510 1021 2046 4096 8193 16384 32766
loop(\(x,i).((((x * 2) * (2 + 1)) + ((x + 1) mod (2 + 1))) + (x mod 2)),x,1)
A037711: 1 9 56 336 2017 12105 72632 435792 2614753 15688521 94131128 564786768 3388720609 20332323657 121993941944 731963651664
((if (((x + 1) mod ((x div (2 + 1)) + 1)) mod 2) <= 0 then (x + 1) else 0) * (x + 1))
A106546: 1 4 9 16 0 36 0 64 81 100 0 144 0 196 225 256
(((if ((x div (2 + 1)) - 2) <= 0 then (((2 + 2) + 1) * 2) else 0) + 1) * (x + 1))
A073729: 11 22 33 44 55 66 77 88 99 10 11 12 13 14 15 16
compr(\x.(x - loop(\(x,i).(x * 2),((x mod (((2 + 2) * 2) + 1)) - 1),1)),(x + 1))
A032991: 1 2 3 4 5 6 7 8 14 15 16 17 24 25 26 34
compr(\x.(x - loop(\(x,i).(x * 2),((x mod (((2 + 2) + 1) * 2)) - 1),1)),(x + 1))
A032992: 1 2 3 4 5 6 7 8 9 15 16 17 18 19 26 27
(loop(\(x,i).(x * 2),((x div (((2 - x) mod (2 + 2)) + 2)) - 1),1) div (x + 1))
A046770: 1 0 0 0 0 0 0 0 0 0 1 0 0 0 4 0
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((2 + 2) + 1),1) * (x + 1))
A154549: 111111 222222 333333 444444 555555 666666 777777 888888 999999 1111110 1222221 1333332 1444443 1555554 1666665 1777776
((x - ((loop(\(x,i).(x * x),2,(x + 1)) div ((2 + 2) + 1)) - 1)) mod (x + 1))
A226783: 0 1 2 1 0 5 3 5 2 0 9 5 8 3 0 13
compr(\x.(x mod ((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) * (2 + 1)) + 1)),(x + 1))
A230215: 3 6 9 12 13 15 18 21 24 26 27 30 33 36 39 42
(loop(\(x,i).(i * x),x,((((x mod 2) - 1) - (x div (2 + 1))) - 1)) mod (x + 1))
A049084: 0 1 2 0 3 0 4 0 0 0 5 0 6 0 0 0
(((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1) * (x + 1))
A333046: 1 2 3 4 5 18 7 8 9 30 11 36 13 42 45 16
(((loop(\(x,i).(x * x),2,(((2 + 1) * 2) + 1)) * (x + 1)) + 1) * (x + 1))
A031776: 2402 9606 21612 38420 60030 86442 117656 153672 194490 240110 290532 345756 405782 470610 540240 614672
((((loop(\(x,i).((i + x) * x),2,(2 + 2)) + 1) * (x + 1)) + 1) * (x + 1))
A031720: 442 1766 3972 7060 11030 15882 21616 28232 35730 44110 53372 63516 74542 86450 99240 112912
(((loop(\(x,i).(((x + 2) * x) * (x + 2)),2,1) * (x + 1)) + 1) * (x + 1))
A031744: 1090 4358 9804 17428 27230 39210 53368 69704 88218 108910 131780 156828 184054 213458 245040 278800
(((loop(\(x,i).((i + x) * (x + 2)),2,(2 + 1)) * (x + 1)) + 1) * (x + 1))
A031722: 485 1938 4359 7748 12105 17430 23723 30984 39213 48410 58575 69708 81809 94878 108915 123920
compr(\x.(x mod ((loop(\(x,i).(((x + 2) + 2) * 2),x,1) mod (x + 1)) + 1)),(x + 1))
A064915: 1 2 3 4 5 6 7 8 9 10 12 14 16 18 22 24
((((loop(\(x,i).((x + 1) * x),2,(x + 1)) div 2) * (x + 1)) + 1) * (x + 1))
A163279: 4 86 705 3364 11630 32514 78211 168200 331704 610510 1062149 1763436 2814370 4342394 6507015 9504784
(((loop(\(x,i).((x + 2) * (x + 2)),2,(2 + 2)) * (x + 1)) + 1) * (x + 1))
A031754: 1445 5778 12999 23108 36105 51990 70763 92424 116973 144410 174735 207948 244049 283038 324915 369680
(((x - (loop(\(x,i).(1 - (x * x)),2,(2 + 2)) * (x + 1))) - 1) * (x + 1))
A158226: 223 896 2019 3592 5615 8088 11011 14384 18207 22480 27203 32376 37999 44072 50595 57568
(((x - (loop(\(x,i).((i - x) * x),2,(2 + 2)) * (x + 1))) - 1) * (x + 1))
A158218: 167 672 1515 2696 4215 6072 8267 10800 13671 16880 20427 24312 28535 33096 37995 43232
(((loop(\(x,i).(((x * x) + (i + 1)) * x),2,2) * (x + 1)) + 1) * (x + 1))
A031762: 1765 7058 15879 28228 44105 63510 86443 112904 142893 176410 213455 254028 298129 345758 396915 451600
(((loop(\(x,i).((x - ((x * x) * 2)) * x),2,2) * (x + 1)) + 1) * (x + 1))
A157861: 3601 14402 32403 57604 90005 129606 176407 230408 291609 360010 435611 518412 608413 705614 810015 921616
(((loop(\(x,i).((x - ((x * x) * 2)) * x),2,2) * (x + 1)) - 1) * (x + 1))
A157857: 3599 14398 32397 57596 89995 129594 176393 230392 291591 359990 435589 518388 608387 705586 809985 921584
(loop(\(x,i).(((((x div 2) + x) div (2 + 2)) + x) + 1),(x - 1),1) div (x + 1))
A225501: 1 0 0 0 1 1 1 1 2 2 3 4 5 7 9 12
(loop(\(x,i).((x - (((x div 2) + x) div (2 + 2))) * 2),(x - 1),1) div (x + 1))
A033295: 1 0 0 1 1 1 1 1 2 2 2 3 3 4 5 6
((((loop(\(x,i).(x * x),2,(x + 1)) div ((2 + 2) + 1)) * 2) + 1) div (x + 1))
A184634: 1 3 11 25 50 86 137 204 291 400 532 691 878 1097 1350 1638
((((loop(\(x,i).((x * x) * (x + 2)),2,2) * (x + 1)) div 2) + 1) * (x + 1))
A031774: 2305 9218 20739 36868 57605 82950 112903 147464 186633 230410 278795 331788 389389 451598 518415 589840
((if ((x + 2) mod (((2 + 2) * 2) + 1)) <= 0 then ((x + 1) * 2) else 1) * (x + 1))
A270436: 1 2 3 4 5 6 7 128 9 10 11 12 13 14 15 16
(((((loop(\(x,i).((x * x) * x),2,(2 + 2)) + 1) * 2) * 2) + 1) mod (x + 1))
A318989: 0 1 0 1 1 3 2 5 0 1 6 9 1 9 6 5
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((2 + 2) * 2),1) * (x + 1))
A172525: 111111111 222222222 333333333 444444444 555555555 666666666 777777777 888888888 999999999 1111111110 1222222221 1333333332 1444444443 1555555554 1666666665 1777777776
(if (x mod 2) <= 0 then ((x div 2) + 1) else (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)))
A008821-A008809: 1 0 2 0 3 0 4 0 5 2 6 4 7 6 8 8
(loop(\(x,i).(((x * 2) - 1) * x),2,(((x div (2 + 2)) * 2) + 1)) * (x + 1))
A120024: 1 2 3 4 2175
((((if (x div ((2 + 2) * 2)) <= 0 then x else (2 + 1)) mod (2 + 2)) + 1) mod (x + 1))
A065680: 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4
((if (x - 2) <= 0 then 1 else ((((x * x) * 2) + 1) * ((2 + 2) + 1))) * (x + 1))
A097654: 1 2 3 380
(loop(\(x,i).(((((i + 2) + 2) + x) * x) + 2),2,((2 + 2) + 1)) * (x + 1))
A086746: 3018 6036 9054 12072 15090 18108 21126 24144 27162 30180 33198 36216 39234 42252 45270 48288
(((((loop(\(x,i).((x div 2) + x),x,(2 + 1)) + x) div 2) div 2) + 1) div (x + 1))
A334626: 1 1 1 1 1 1 1 1 2 2 3 4 6 8 12 16
((((loop(\(x,i).((2 + 1) * x),(x - 1),x) + (x * 2)) * 2) + 1) div (x + 1))
A005312: 1 3 7 16 46 138
compr(\x.((if (((x div 2) * x) mod 2) <= 0 then (x div (2 + 1)) else 1) mod (2 + 1)),(x + 1))
A320919: 1 2 9 10 18 20 28 29 36 37 38 45 46 54 56 64
((loop(\(x,i).((x * x) div ((x mod 2) + 2)),2,(x + 1)) * (2 + 1)) mod (x + 1))
A226784: 0 0 0 0 1 0 6 0 0 0 2 0 11 0 0 0
(((loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) + x) + (2 + 1)) * (x + 1))
A158309-A031697: 363 1448 3255 5784 9035 13008 17703 23120 29259 36120 43703 52008 61035 70784 81255 92448
(loop(\(x,i).((((x + 2) + 2) * 2) - (x div 2)),2,(x mod (2 + 1))) + (x + 1))
A217150: 21 25 28 24
loop(\(x,i).(((((i + 2) + 2) * x) * 2) div (i + 1)),((x * 2) + 1),(x + 1))
A054323: 5 140 2016 21120 183040 1397760 9748480 63504384 392232960 2321285120 13264486400 73610035200 398475657216 2111580405760 10984378859520 56221121904640
(((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 0 else x) + 1) * (x + 1))
A274029: 1 2 3 4 5 36 7 64 9 100 11 144 13 196 225 16
((compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1) * (x + 1))
A171523: 1 8 18 32 45 60 84 112 135 160 198 240 273 308 360 400
((((loop(\(x,i).((x * x) + 1),2,(2 + 2)) * (x + 1)) - x) + 1) * (x + 1))
A158254-A031695: 291 1160 2607 4632 7235 10416 14175 18512 23427 28920 34991 41640 48867 56672 65055 74016
((((loop(\(x,i).((i + x) * x),2,(2 + 2)) * (x + 1)) + x) - 1) * (x + 1))
A157737: 439 1760 3963 7048 11015 15864 21595 28208 35703 44080 53339 63480 74503 86408 99195 112864
(((loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),(x + 1)) + x) - 1) * (x + 1))
A158401: 839 3360 7563 13448 21015 30264 41195 53808 68103 84080 101739 121080 142103 164808 189195 215264
(loop(\(x,i).((((x div 2) + 1) * i) + (((x div 2) + 1) div 2)),x,1) + (x + 1))
A118332: 2 3 5 11 23
A175234: 2 3 5 11 23 61
((loop(\(x,i).(((((2 + 2) * 2) * 2) * (x + 1)) + x),2,x) - 1) * (x + 1))
A158252: 287 1152 2595 4616 7215 10392 14147 18480 23391 28880 34947 41592 48815 56616 64995 73952
(loop(\(x,i).(((((x * 2) div ((i + 2) + 1)) * 2) + x) + 2),x,1) div (x + 1))
A029004-A008753: 1 1 2 3 4 5 7 8 10 12 15 17 21 24 28 32
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((x + 2) * x),1) * (x + 1))
A118116: 1 2222 333333333 4444444444444444 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x + 2) * x) * (x + 2)),1,((x + 2) * x)) + 1) * (x + 1))
A239065: 1 152 2403 17344 81125 287496 840007 2129408 4841289 10099000 19646891 36078912 63117613 105948584 171615375 269479936
((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) div (((x + 2) * x) + 1)) div (x + 1))
A062278: 3 1 1 1 1 3 6 12 27 59 133 307 725 1743 4251 10509
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod ((((x + 2) * x) + 1) * (x + 1)))
A066607: 0 1 0 17 118 81 129 417 0 49 124 945 1498 177 1782 1857
compr(\x.(loop(\(x,i).(((((2 + 2) * 2) + x) * 2) + 1),x,0) mod (x + 1)),(x + 1))
A309374: 2 4 6 10 12
A128984: 2 4 6 10 12 16 18 22 28 30 36 40 42 46 50 52
compr(\x.(2 - (loop(\(x,i).(((x mod 2) + (x * 2)) + 1),x,0) mod (x + 1))),(x + 1))
A254671: 8 11 14 15 17 19 20 23 24 26 27 29 31 32 34 35
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + x) div (x + 1)) * (x + 1))
A053041: 1 10 102 1000 10000 100002 1000006 10000000 100000008 1000000000 10000000010 100000000008 1000000000012 10000000000004 100000000000005 1000000000000000
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2),(x - 1),(x + 1))
A082142: 1 2 12 80 560 4032 29568 219648 1647360 12446720 94595072 722362368
A069723: 1 2 12 80 560 4032 29568 219648 1647360 12446720 94595072 722362368 5538111488 42600857600 328635187200 2541445447680
((((if ((2 - x) + 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * 2) * (x + 1))
A061085: 4 8 12 16 170 204 238 272 306 340 374 408 442 476 510 544
(((if (x mod 2) <= 0 then ((x * 2) mod (((2 + 2) * 2) + 1)) else 1) * 2) div (x + 1))
A255308: 0 1 2 0 3 0 0 0 1 0 0 0 0 0 0 0
((if x <= 0 then 1 else ((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2)) * (x + 1))
A191558: 1 0 0 4 0 6 0 8 9 10 0 12 0 14 15 16
(((x mod 2) - 2) mod (((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) * 2) * (x + 1)))
A060782: 14 3 46 7 78
((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 1 else (((2 + 2) + 1) * 2)) * (x + 1))
A237416: 10 20 30 40 5 60 70 80 90 10 110 120 130 140 15 160
(loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 2) + 1) * 2)) div (x + 1))
A033427: 100000 50000 33333 25000 20000 16666 14285 12500 11111 10000 9090 8333 7692 7142 6666 6250
compr(\x.((if (x mod (((((x mod 2) * 2) * 2) * 2) + 1)) <= 0 then x else 1) - 2),(x + 1))
A320055: 1 2 3 5 7 11 13 15 17 19 21 23 25 29 31 33
((((loop(\(x,i).((i + x) * x),2,(2 + 1)) + 1) * (x + 1)) + 2) * (x + 1))
A158220: 171 680 1527 2712 4235 6096 8295 10832 13707 16920 20471 24360 28587 33152 38055 43296
(((loop(\(x,i).(x * x),2,(((2 + 1) * 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031727: 2403 9608 21615 38424 60035 86448 117663 153680 194499 240120 290543 345768 405795 470624 540255 614688
((((loop(\(x,i).((x * x) - 1),(2 + 2),2) + 1) * (x + 1)) + 2) * (x + 1))
A031741: 3971 15880 35727 63512 99235 142896 194495 254032 321507 396920 480271 571560 670787 777952 893055 1016096
((((loop(\(x,i).((x * x) - 1),2,(2 + 2)) + 1) * (x + 1)) + 2) * (x + 1))
A158228: 227 904 2031 3608 5635 8112 11039 14416 18243 22520 27247 32424 38051 44128 50655 57632
((((loop(\(x,i).((i + x) * x),2,(2 + 2)) + 1) * (x + 1)) + 2) * (x + 1))
A158321-A031699: 443 1768 3975 7064 11035 15888 21623 28240 35739 44120 53383 63528 74555 86464 99255 112928
(((loop(\(x,i).(((x + 2) * x) * (x + 2)),2,1) * (x + 1)) + 2) * (x + 1))
A031711: 1091 4360 9807 17432 27235 39216 53375 69712 88227 108920 131791 156840 184067 213472 245055 278816
(((loop(\(x,i).((i + x) * (x + 2)),2,(2 + 1)) * (x + 1)) + 2) * (x + 1))
A158325: 486 1940 4362 7752 12110 17436 23730 30992 39222 48420 58586 69720 81822 94892 108930 123936
(((loop(\(x,i).((i + x) * (x + 2)),2,(2 + 1)) * (x + 1)) - 2) * (x + 1))
A158329: 482 1932 4350 7736 12090 17412 23702 30960 39186 48380 58542 69672 81770 94836 108870 123872
((loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),2,(x + 1)) + 2) * (x + 1))
A158312: 402 1604 3606 6408 10010 14412 19614 25616 32418 40020 48422 57624 67626 78428 90030 102432
((loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),2,(x + 1)) - 2) * (x + 1))
A158316: 398 1596 3594 6392 9990 14388 19586 25584 32382 39980 48378 57576 67574 78372 89970 102368
(((loop(\(x,i).(((x + 2) * x) + 1),2,(2 + 2)) * (x + 1)) + 2) * (x + 1))
A158385: 678 2708 6090 10824 16910 24348 33138 43280 54774 67620 81818 97368 114270 132524 152130 173088
(((loop(\(x,i).(((x + 2) * x) + 1),2,(2 + 2)) * (x + 1)) - 2) * (x + 1))
A158392: 674 2700 6078 10808 16890 24324 33110 43248 54738 67580 81774 97320 114218 132468 152070 173024
(((((x div 2) + x) div (if (x mod 2) <= 0 then (2 + 2) else (x + 1))) * 2) * (x + 1))
A303223: 0 0 0 8 10 12 28 16 54 20 66 24 104 28 150 32
compr(\x.((loop(\(x,i).(x * 2),(x div 2),(x mod (2 + 2))) mod (x + 1)) - 2),(x + 1))
A336444: 1 2 3 4 6 7 8 11 12 14 15 16 20 22 23 24
(loop(\(x,i).(x * x),1,(((((x + 2) * x) + 2) * (x + 1)) div 2)) * (x + 1))
A052460: 1 50 675 4624 21125 73926 214375 540800 1225449 2550250 4952651 9082800 15873325 26622974 43095375 67634176
(((((x mod ((x div 2) + 2)) div 2) + x) div 2) + ((if x <= 0 then 1 else 2) * (x + 1)))
A007073-A007064: 1 4 7 9 12 14 17 20 22 25 27 30 33 35 38 41
compr(\x.(1 - (x mod ((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 2) + 2))),(x + 1))
A122144-A064052-A048839: 2 3 5 6 7 10 11 13 14 15 17 19 20 21 22 23
compr(\x.(1 - (x mod ((if (x mod ((x div (2 + 2)) + 2)) <= 0 then 1 else 2) + 2))),(x + 1))
A279814: 2 3 5 7 8 9 10 11 13 14 17 19 22 23 25 26
(x - (loop(\(x,i).((((x * x) + 1) * (x + 1)) * (x + 1)),2,2) mod (x + 1)))
A245974: 0 1 1 3 3 1 0 7 7 3 2 7 6 7 13 7
(((((if (x - (2 + 1)) <= 0 then 1 else ((2 + 1) * 2)) * 2) * 2) + 2) * (x + 1))
A020333: 6 12 18 24 130 156 182 208 234 260 286 312 338 364 390 416
(((((2 + 2) * 2) * 2) - 1) mod (if ((x mod (2 + 2)) - 2) <= 0 then 2 else (x + 1)))
A140670: 1 1 1 3 1 1 1 7 1 1 1 3 1 1 1 15
((x + 2) mod ((x + 2) - (loop(\(x,i).((x * x) * 2),2,(2 + 2)) mod (x + 1))))
A284272: 0 0 0 0 0 2 0 0 0 2 2 3 0 4 0 0
loop(\(x,i).((((x * 2) * 2) * 2) div ((2 + 2) + 1)),2,((2 + 2) * (x + 1)))
A330171: 9 19 30 40 51 60 70 81 91 102 112 121 132 142 153 163
(loop(\(x,i).((x - (x mod ((i * 2) + 1))) + (x * 2)),x,(2 + 2)) - (x + 1))
A220950: 3 9 29 88 269
((((((loop(\(x,i).((0 - i) * x),x,1) div 2) div 2) + x) + 2) + 2) * (x + 1))
A070213: 4 8 18 20 70
((x div ((x * 2) - (if x <= 0 then 1 else (((x div 2) * (x div 2)) div 2)))) * (x + 1))
A308102: 0 0 0 0 0 0 0 0 9 0 11 12 26 14 45 32
(((if x <= 0 then 1 else ((x * 2) * 2)) - ((x + 1) mod ((x mod 2) + 2))) + (x + 1))
A310461: 1 4 10 15 20 26 30 34 40 45 50 56 60 64 70 75
((if ((x + 1) mod ((2 + 1) * 2)) <= 0 then (x div 2) else ((x mod 2) + 2)) * (x + 1))
A208570: 2 6 6 12 10 12 14 24 18 30 22 60 26 42 30 48
compr(\x.(((2 + 1) mod (if (x mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else x)) * 2),(x + 1))
A279083: 1 3 4 6 8 12 16 18 20 24 28 30 32 36 40
(((if (x mod 2) <= 0 then x else ((((2 + 2) * (x + 1)) - 1) * x)) * 2) div (x + 1))
A019431: 0 7 1 22 1 38 1 54 1 70 1 86 1 102 1 118
(x - loop(\(x,i).((((x * 2) * 2) mod (((2 + 2) * 2) + 1)) - x),2,(x + 1)))
A133293: 0 1 2 3 ~5 5 ~3 ~2 ~1 0 1 2 3 ~5 5 ~3
(((loop(\(x,i).(((i + 2) + 1) * x),(2 + 2),(x + 1)) + x) + 2) * (x + 1))
A031736: 842 3366 7572 13460 21030 30282 41216 53832 68130 84110 101772 121116 142142 164850 189240 215312
(((loop(\(x,i).(((i + 2) + 2) * x),(2 + 2),(x + 1)) + x) + 2) * (x + 1))
A031760: 1682 6726 15132 26900 42030 60522 82376 107592 136170 168110 203412 242076 284102 329490 378240 430352
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),(((x + 2) * x) + 2)) * (x + 1))
A128043: 12 360 6480 88128 1010880 10357632 97977600 873400320 7437339648 61070837760 486873649152 3787601264640 28864133775360 216128364576768 1593927097712640 11600403939459072
(loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),(((x + 2) * x) + 2)) * (x + 1))
A128048: 16 640 15360 278528 4259840 58195968 734003200 8724152320 99052683264 1084479242240 11527692222464 119571889520640 1214960348692480 12129812277624832 119275021381140480 1157425104234217472
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),(((x + 2) * x) + 2)) * (x + 1))
A128013: 10 250 3750 42500 406250 3468750 27343750 203125000 1441406250 9863281250 65527343750 424804687500 2697753906250 16833496093750 103454589843750 627441406250000
((loop(\(x,i).(((i + 2) + 1) * x),x,((x + 2) + 1)) * (x + 2)) * (x + 1))
A001805: 6 96 1200 14400 176400 2257920 30481920 435456000 6586272000 105380352000 1780927948800 31732897996800 594991837440000 11716762337280000 241867451105280000 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),x) * ((x + 2) * (x + 1)))
A128965: 0 294 8232 144060 2016840 24706290 276710448 2905459704 29054597040 279650496510 2610071300760 23751648836916 211605598728888 1851548988877770 15951806673408480 135590356723972080
(((if ((x - 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1) + (x mod 2)) mod (x + 1))
A072410: 0 1 1 2 1 2 1 2 2 2 1 2 1 2 1 3
(((loop(\(x,i).((((i + 2) + 1) * i) + x),(x + 1),x) + x) * 2) * (x + 1))
A086114: 8 64 216 528 1080 1968 3304 5216 7848 11360 15928 21744 29016 37968 48840 61888
loop(\(x,i).((((x * 2) div (i + 1)) + x) * (((2 + 2) * 2) + 1)),x,(x + 1))
A173187: 1 36 810 14580 229635 3306744 44641044 573956280 7102708965 85232507580 997220338686 11422705697676 128505439098855 1423444863864240 15556218869373480 168007163789233584
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) + x) * ((2 + 2) + 1)),x,(x + 1))
A050982: 1 30 525 7000 78750 787500 7218750 61875000 502734375 3910156250 29326171875 213281250000 1510742187500 10458984375000 70971679687500 473144531250000
(((if ((x div (2 + 2)) - 1) <= 0 then 2 else (x div ((2 + 2) + 1))) + x) mod (x + 1))
A143535: 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 2
((((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2) * (2 + 1)) + x) div (x + 1))
A003177: 24 36 56 90 149 252 436 765 1363 2456 4467 8190 15122 28086 52428 98303
((((((if (x - (2 + 2)) <= 0 then 1 else 0) + x) * 2) div (2 + 1)) + x) + (x + 1))
A007072: 1 4 7 9 12 14 17 19 22 25 27 30 33 35 38 41
loop(\(x,i).((((((x * 2) * 2) * 2) div (i + 1)) + x) * (2 + 1)),x,(x + 1))
A036223: 1 30 495 5940 57915 486486 3648645 25019280 159497910 956987460 5454828522 29753610120 156206453130 793048146660 3908594437110 18761253298128
(((loop(\(x,i).(((x + 1) * x) div (2 + 2)),2,x) div (2 + 1)) + x) div (x + 1))
A241089: 0 0 0 1 1 1 2 3 4 5 6 8 10 13 16 20
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) + x) div (x + 1))
A188669: 1 2 4 9 26 77 246 805 2702 9238 32066 112674 400024 1432736 5170584 18783763
(((loop(\(x,i).((x * x) + 1),2,((2 + 1) * 2)) * (x + 1)) - x) * (x + 1))
A031752: 1370 5478 12324 21908 34230 49290 67088 87624 110898 136910 165660 197148 231374 268338 308040 350480
(((loop(\(x,i).(((x * x) * (2 + 2)) + 1),2,2) * (x + 1)) - x) * (x + 1))
A031746: 1157 4626 10407 18500 28905 41622 56651 73992 93645 115610 139887 166476 195377 226590 260115 295952
(((loop(\(x,i).(((i + x) * x) + 2),2,(2 + 2)) * (x + 1)) - x) * (x + 1))
A031724: 530 2118 4764 8468 13230 19050 25928 33864 42858 52910 64020 76188 89414 103698 119040 135440
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * (i + 1)),x,(x + 1))
A092956: 1 8 90 1344 25200 570240 15135120 461260800 15878903040 609493248000 25812039052800 1195656969830400 60138698780160000 3264143527636992000 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (((x div (0 - 2)) * (2 + 1)) * (2 + 1))),2,x) + (x + 1))
A056082: 1 57 68 124 126 182 193 249 251 307 318 374 376 432 443 499
(((loop(\(x,i).((((i mod 2) + x) * 2) + x),x,0) div (x + 2)) + x) div (x + 1))
A297074: 0 0 1 1 2 5 10 23 55
(((if (x - 2) <= 0 then 1 else ((((2 + 1) * 2) + 1) * (x - 2))) + x) div (x + 1))
A030601: 1 1 1 2 3 4 4 5 5 5 6 6 6 6 6 6
(((((x div 2) + 2) * x) + 1) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A220466: 1 3 2 10 3 7 4 36 5 11 6 26 7 15 8 136
((((2 + 2) * 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A037239: 8 16 8 32 8 16 8 64 8 16 8 32 8 16 8 128
loop(\(x,i).((((((i * 2) - 1) * x) * 2) * (2 + 1)) div (i + 2)),x,(x + 1))
A275607: 1 4 27 216 1890 17496 168399 1667952 16888014 173997720 1818276174 19225409616 205299909828 2210922105840 23984556773175 261854925711840
loop(\(x,i).(((((x * 2) * (2 + 1)) div (i + 1)) + x) * (i + 2)),x,(x + 1))
A062149: 1 24 432 7200 118800 1995840 34594560 622702080 11675664000 228324096000 4657811558400 99084354969600 2196369868492800 50685458503680000 1216451004088320000 4611686018427387903
(loop(\(x,i).(x - ((x mod ((x div ((2 + 2) * 2)) + 2)) - 1)),x,x) + (x + 1))
A189204: 1 3 6 7 10 11 14 15 16 20 21 22 26 27 28 33
((loop(\(x,i).((((x mod 2) + (x * 2)) * 2) + x),(x + 1),x) * x) mod (x + 1))
A220235: 0 1 2 1 0 1 5 1 8 3 5 1 5 13 5 1
loop(\(x,i).(((((x * 2) * 2) * ((2 + 2) + 1)) div (i + 1)) - x),x,(x + 1))
A010934: 1 18 153 816 3060 8568 18564 31824 43758 48620 43758 31824 18564 8568 3060 816
loop(\(x,i).(((((x * 2) * (2 + 1)) * (2 + 1)) div (i + 1)) + x),x,(x + 1))
A010972: 1 20 210 1540 8855 42504 177100 657800 2220075 6906900 20030010 54627300 141120525 347373600 818809200 1855967520
loop(\(x,i).((((((x * 2) * 2) * 2) * (2 + 1)) div (i + 1)) - x),x,(x + 1))
A010938: 1 22 231 1540 7315 26334 74613 170544 319770 497420 646646 705432 646646 497420 319770 170544
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * 2) div (i + 1)) - x),x,(x + 1))
A010946: 1 30 435 4060 27405 142506 593775 2035800 5852925 14307150 30045015 54627300 86493225 119759850 145422675 155117520
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (i + 1)) - x),x,(x + 1))
A080559-A010928: 1 12 66 220 495 792 924 792 495 220 66 12 1
(((loop(\(x,i).(((x div ((i + 2) + 2)) + x) + 2),2,x) + x) + x) + (x + 1))
A247128: 5 9 13 17 22 27 31 35 39 44 49 53 57 61 66 71
(loop(\(x,i).(x * 2),(((1 - (x div 2)) mod (x + 1)) div (2 + 1)),1) + (x - 1))
A004762: 0 1 2 3 5 6 7 10 11 12 13 14 15 20 21 22
(((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,0) * x) div 2) * (x - 1))
A065088: 0 0 1 6 54 440 3975 38934 415324 4805856 60073245 807651350 11630179506 178681848696 2918470195459 50511984152070
(((if (2 - (x div (2 + 2))) <= 0 then ((2 + 2) * (2 + 1)) else x) * 2) - (x - 1))
A115309: 1 2 3 4 5 6 7 8 17 16 15 14 13 12 11 10
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) - i),x,1) - ((x * 2) * (x - 1)))
A214396: 1 5 44 657
(((((loop(\(x,i).((i * x) * 2),(x - 2),1) div 2) + 1) div 2) * x) * (x - 1))
A052671: 0 0 0 6 24 240 2880 40320 645120 11612160 232243200 5109350400 122624409600 3188234649600 89270570188800 2678117105664000
loop(\(x,i).(((((x div 2) div (((x mod (2 + 1)) div 2) + 1)) * 2) + 1) + x),x,1)
A018274: 1 2 3 6 13 26 39 78
loop(\(x,i).((((((i + 1) * (x + 1)) div ((2 + 2) + 1)) mod 2) + 1) + x),x,1)
A003233: 1 2 4 5 6 7 9 10 12 13 14 15 17 18 20 22
loop(\(x,i).(((((x * 2) * (2 + 1)) - ((i mod (2 + 1)) mod 2)) + 1) + x),x,1)
A033125: 1 7 50 351 2457 17200 120401 842807 5899650 41297551 289082857 2023580000 14165060001 99155420007 694087940050 4858615580351
loop(\(x,i).(((((i + x) div (((x div (2 + 2)) + 2) + 2)) mod 2) + 1) + x),x,1)
A101616: 1 2 4 6 7 8 9 10 12 14 16 18 20 22 23 24
loop(\(x,i).(((((x + 2) mod (((x - 1) mod (2 + 2)) + 2)) div 2) + 1) + x),x,1)
A325663-A277620-A156541: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22
loop(\(x,i).((((x * 2) + 1) mod ((2 + 2) + 1)) + (((2 + 2) + 1) * x)),x,1)
A037710: 1 8 42 210 1051 5258 26292 131460 657301 3286508 16432542 82162710 410813551 2054067758 10270338792 51351693960
((loop(\(x,i).(((((x div 2) + x) div (2 + 2)) + 1) * 2),(2 + 1),x) + x) - 1)
A008321: 1 2 3 6 7 8 11 12 15 16 17 18 19 20 21 22
loop(\(x,i).((((((2 + 2) * 2) * 2) * (2 + 1)) - (x mod (2 + 1))) * x),x,1)
A170728-A170680-A170632-A170584-A170536-A170488-A170440-A170392-A170344-A170296-A170248-A170200-A170152-A170104-A170056-A170008-A169540-A169492-A169444-A169396-A169348-A169300-A169252-A169204-A169156-A169108-A169060-A169012-A168964-A168916-A168868-A168820-A168772-A168724-A167978-A167862-A167644-A167100-A166740: 1 47 2162 99452 4574792 210440432 9680259872 445291954112 20483429889152 942237774900992 43342937645445632 1993775131690499072 4611686018427387903 4611686018427387903 4611686018427387903
A170766: 1 47 2162 99452 4574792 210440432 9680259872 445291954112 20483429889152 942237774900992 43342937645445632 1993775131690499072 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - (((0 - 2) mod ((x div (2 + 2)) + 1)) - 1)),2,x) + x) + 1)
A321499: 3 5 7 9 11 13 15 16 17 19 21 23 24 25 27 29
loop(\(x,i).((i - (((((x mod 2) + x) mod ((2 + 2) + 1)) div 2) div 2)) * x),x,1)
A215716: 1 1 2 6 24 96 576 4032 32256 290304 2612736 28740096 344881152 4483454976 62768369664 878757175296
loop(\(x,i).((((1 - x) mod ((2 + 2) + 1)) + (((x * 2) * 2) * 2)) + x),x,1)
A037679: 1 9 83 750 6751 60759 546833 4921500 44293501 398641509 3587773583 32289962250 290609660251 2615486942259 23539382480333 211854442323000
(loop(\(x,i).((2 + 1) * x),x,1) div ((((((2 + 1) * x) + 2) * x) * x) + 1))
A319764: 1 0 0 0 0 0 1 1 3 8 18
(loop(\(x,i).((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1),2,(x * x)) - 1)
A158672: 30 930 3630 8130 14430 22530 32430 44130 57630 72930 90030 108930 129630 152130 176430 202530
(loop(\(x,i).(x - ((((x * 2) * 2) * ((2 + 2) + 1)) + 1)),2,(x * x)) + 1)
A158592: 19 380 1463 3268 5795 9044 13015 17708 23123 29260 36119 43700 52003 61028 70775 81244
(loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) * (2 + 1)) + 1),2,(x * x)) - 1)
A158739: 36 1332 5220 11700 20772 32436 46692 63540 82980 105012 129636 156852 186660 219060 254052 291636
(loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + 1),2,(x * x)) - 1)
A158645: 27 756 2943 6588 11691 18252 26271 35748 46683 59076 72927 88236 105003 123228 142911 164052
(loop(\(x,i).(x - (((((x * 2) * 2) * 2) * (2 + 1)) + 1)),2,(x * x)) + 1)
A158631: 23 552 2139 4784 8487 13248 19067 25944 33879 42872 52923 64032 76199 89424 103707 119048
(loop(\(x,i).(((x - (((x * 2) * 2) * 2)) * (2 + 1)) - 1),2,(x * x)) + 1)
A158603: 21 462 1785 3990 7077 11046 15897 21630 28245 35742 44121 53382 63525 74550 86457 99246
(loop(\(x,i).(((x - (((x * 2) * 2) * (2 + 1))) * 2) - 1),2,(x * x)) + 1)
A158629: 22 506 1958 4378 7766 12122 17446 23738 30998 39226 48422 58586 69718 81818 94886 108922
(loop(\(x,i).(x - ((((((x * 2) * 2) * 2) * 2) * 2) + 1)),2,(x * x)) + 1)
A158675: 31 992 3875 8680 15407 24056 34627 47120 61535 77872 96131 116312 138415 162440 188387 216256
(loop(\(x,i).((((x - (((x * 2) * 2) * 2)) * 2) * 2) - 1),2,(x * x)) + 1)
A158659: 28 812 3164 7084 12572 19628 28252 38444 50204 63532 78428 94892 112924 132524 153692 176428
(loop(\(x,i).((((((2 + 2) * (2 + 1)) + 1) * x) * 2) + 1),2,(x * x)) - 1)
A158643: 26 702 2730 6110 10842 16926 24362 33150 43290 54782 67626 81822 97370 114270 132522 152126
(loop(\(x,i).(((((((2 + 2) * 2) * 2) + 1) * x) * 2) + 1),2,(x * x)) - 1)
A158731: 34 1190 4658 10438 18530 28934 41650 56678 74018 93670 115634 139910 166498 195398 226610 260134
(loop(\(x,i).(((((((2 + 2) * 2) * 2) * 2) + 1) * x) + 1),2,(x * x)) - 1)
A158688: 33 1122 4389 9834 17457 27258 39237 53394 69729 88242 108933 131802 156849 184074 213477 245058
(((((((if x <= 0 then 2 else 0) + (2 + 2)) * 2) * 2) * 2) + 1) div ((x * x) + 1))
A145583: 49 16 6 3
(compr(\x.loop(\(x,i).(x div (2 - (((x div (2 + 2)) * (x + 1)) mod 2))),x,x),x) + 1)
A263132: 1 2 3 4 6 8 11 12 16 22 24 32 43 44 48 64
(loop(\(x,i).((((x + 2) + 1) mod (((2 + 1) * 2) + 1)) * (2 + 1)),x,0) div 2)
A021025: 0 4 7 6 1 9 0 4 7 6 1 9 0 4 7 6
(loop(\(x,i).(((((x mod 2) * 2) * ((2 + 2) + 1)) + (x div 2)) + 1),x,0) div 2)
A021175: 0 0 5 8 4 7 9 5 3 2 1 6 3 7 4 2
((if ((x + 1) mod ((((x div (2 + 2)) * (2 + 1)) div 2) + 1)) <= 0 then 0 else 1) + 2)
A260235: 2 2 2 2 3 2 3 2 3 3 3 2 3 3 2 3
((x mod ((x div ((if (((x - 1) div 2) mod (2 + 2)) <= 0 then 2 else 1) + 1)) + 1)) div 2)
A239496: 0 0 0 0 0 1 1 1 1 0 1 2 2 3 3 3
(((x mod (2 + 1)) + 1) div (if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 1 else 2))
A119624: 1 1 1 0 1 1 0 1 1 0 1 3 0 1 1 0
(((x div (((loop(\(x,i).(x * 2),(x - 2),2) - 1) mod (x + 1)) + 1)) + 1) div 2)
A325403: 0 0 1 0 1 1 1 0 2 1 1 1 1 1 4 0
(loop(\(x,i).(x * x),1,(x - ((x div (((2 + 2) * (0 - 2)) - 1)) - 1))) * 2)
A166259: 2 18 32 50 72 98 128 162 200 242 338 392 450 512 578 648
(if (x mod ((((2 - x) mod ((((x mod 2) + 1) * 2) + 1)) * 2) + 1)) <= 0 then 1 else 2)
A174314: 1 2 1 2 2 1 2 1 1 2 2 2 2 2 1 1
((if x <= 0 then 0 else ((((1 - x) mod (2 + 1)) * (((2 + 1) * 2) + 1)) + 1)) div 2)
A021139: 0 0 7 4 0 7 4 0 7 4 0 7 4 0 7 4
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * 2) + 1)) + 1) div 2)
A137233: 5 45 450 4500 45000 450000 4500000 45000000 450000000 4500000000 45000000000 450000000000 4500000000000 45000000000000 450000000000000 4500000000000000
(((loop(\(x,i).(((x + 2) * (2 + 1)) + 1),x,1) div ((2 + 2) + 1)) + 1) * 2)
A230929: 2 6 16 48 146 438 1312 3936 11810 35430 106288 318864 956594 2869782 8609344 25828032
(loop(\(x,i).((x div 2) + x),x,((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)) div 2)
A120141: 14 21 32 48 72 108 162 243 364 546 819 1229 1843 2765 4147 6221
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) * 2) * ((2 + 2) + 1)) + 1)) div 2)
A120145: 20 30 45 68 102 153 229 344 516 774 1161 1741 2612 3918 5877 8815
(if (x mod (2 + 2)) <= 0 then (((((1 - x) * x) div 2) mod ((2 + 2) + 1)) + 1) else 2)
A121358: 1 2 2 2 5 2 2 2 3 2 2 2 5 2 2 2
((((2 + 2) - (if (x - 2) <= 0 then 1 else 2)) div ((x mod ((2 + 2) + 1)) + 1)) * 2)
A141473: 6 2 2 0 0 4 2 0 0
(((x mod (2 + 1)) + 2) div (if (((x div (2 + 1)) + 1) mod (2 + 1)) <= 0 then 1 else 2))
A119985: 1 1 2 1 1 2 2 3 4 1 1 2 1 1 2 2
(if x <= 0 then 1 else ((((((x * x) - 1) div ((2 + 2) + 1)) mod (2 + 1)) + 1) * 2))
A082991: 1 2 2 4 2 4 4 2 2 4 4 2 4 2 2 6
(((loop(\(x,i).((x + 2) * 2),((x + 2) + 1),(2 + 1)) * (2 + 1)) - 1) * 2)
A304384: 310 646 1318 2662 5350 10726 21478 42982 85990 172006 344038 688102 1376230 2752486 5504998 11010022
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) * (2 + 1)) * (2 + 1)) - 1)) div 2)
A120143: 17 26 39 58 87 131 196 294 441 662 993 1489 2234 3351 5026 7539
(if x <= 0 then 1 else ((((((2 + 2) * 2) mod ((x * 2) - 1)) div (2 + 1)) + 1) * 2))
A076249: 1 2 2 4 2 6 6 6 6 6 6 6 6 6 6 6
(loop(\(x,i).((2 + 1) * x),(x div 2),((((x mod 2) + 1) * (2 + 1)) + 1)) * 2)
A090993: 8 14 24 42 72 126 216 378 648 1134 1944 3402 5832 10206 17496 30618
(((if x <= 0 then 2 else ((1 - x) mod (2 + 1))) * (((x + 1) div (2 + 1)) + 1)) div 2)
A110355: 1 0 2 1 0 3 1 0 4 2 0 5 2 0 6 3
(((x + 1) div (((loop(\(x,i).(x * 2),x,x) mod (x + 1)) div (2 + 1)) + 1)) div 2)
A297404: 0 1 1 2 1 1 1 4 2 1 1 3 1 1 1 8
(((((((loop(\(x,i).(x * 2),x,1) + 2) + 2) + 1) * 2) * (2 + 1)) + 1) * 2)
A305265: 74 86 110 158 254 446 830 1598 3134 6206 12350 24638 49214 98366 196670 393278
(loop(\(x,i).((x div 2) + x),x,(((((2 + 2) * 2) * 2) * (2 + 1)) - 1)) div 2)
A120147: 23 35 52 78 117 176 264 396 594 891 1336 2004 3006 4509 6764 10146
(loop(\(x,i).(x * 2),(x - (((x div ((2 + 2) * 2)) + 2) * (2 + 1))),1) div 2)
A251760: 0 0 0 0 0 0 0 1 0 0 1 2 4 8 16 32
(loop(\(x,i).((2 + 1) * x),x,1) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A070363: 1 3 9 27 35 13 39 25 29 41 31 1 3 9 27 35
((loop(\(x,i).((x * 2) * 2),(x - 1),1) mod (((2 + 2) * (2 + 1)) + 1)) div 2)
A021466: 0 0 2 1 6 4 5 0 2 1 6 4 5 0 2 1
((loop(\(x,i).((x * 2) * 2),(x - 1),2) mod (((2 + 2) * (2 + 1)) + 1)) - 2)
A021158: 0 0 6 4 9 3 5 0 6 4 9 3 5 0 6 4
(if x <= 0 then 1 else ((((x div 2) - 1) mod ((((x div 2) + 2) div (2 + 1)) + 1)) + 2))
A328577: 1 2 2 2 3 3 2 2 2 2 3 3 4 4 4 4
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017549: 32 537824 11881376 79235168 312500000 916132832 2219006624 4704270176 9039207968 16105100000 27027081632 43204003424 66338290976 98465804768 141985700000 199690286432
(loop(\(x,i).(x * 2),((x + 1) div 2),1) div ((((x div 2) * (2 + 1)) + 1) * 2))
A240867: 0 1 0 0 0 0 0 0 0 1 1 2 1 3 2 5
((((loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) + x) * (2 + 1)) + 1) div 2)
A194383: 2 3 5 6 8 9 11 12 14 15 17 20 23 26 29 32
((if (x mod 2) <= 0 then (((x div 2) mod 2) + 2) else 1) - (((x mod (2 + 1)) + 1) mod 2))
A117199: 1 1 2 0 2 0 2 1 1 0 3 0 1 1 2 0
(if x <= 0 then 1 else ((((x div 2) + 1) div 2) - ((x div ((x mod (2 + 1)) + 1)) mod 2)))
A029217: 1 0 1 0 1 0 2 1 2 1 2 2 3 3 4 3
(((loop(\(x,i).((i + 2) * x),(2 + 2),(x + 1)) div ((x + 2) + 1)) + 1) div 2)
A069976: 60 90 108 120 129 135 140 144 147 150 152 154 156 158 159 160
(if x <= 0 then 1 else ((x - ((((1 - (x * 2)) * 2) div ((x + 2) + 1)) - 1)) * 2))
A176587-A176552: 1 6 10 12 14 18 20 22 24 26 28 30 34 36 38 40
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),((x * 2) + 1),1) div 2)
A274822: 1 7 66
A065097: 1 7 66 715 8398 104006 1337220 17678835 238819350 3282060210 45741281820 644952073662 9183676536076 131873975875180 1907493251046152 27767032438524099
((if (x mod (2 + 2)) <= 0 then 0 else ((((2 + 2) * 2) mod ((x div 2) + 1)) + 1)) div 2)
A089311-A086784: 0 0 0 0 0 1 0 0 0 2 1 1 0 1 0 0
((if x <= 0 then 2 else (((((x div 2) - (x mod 2)) * 2) mod ((x div 2) + 1)) + 1)) div 2)
A029327: 1 0 0 0 1 1 1 0 2 1 2 1 3 2 3 2
((loop(\(x,i).(x * 2),x,((((2 + 2) * (2 + 1)) - (x mod 2)) + 1)) + 1) div 2)
A223417: 7 12 26 48 104 192 416 768 1664 3072 6656 12288 26624 49152 106496 196608
((loop(\(x,i).(((((x * 2) * 2) - (x mod 2)) * 2) * (2 + 1)),x,1) + 1) div 2)
A067426: 1 9 216 5184 124416 2985984 71663616 1719926784 41278242816 990677827584 23776267862016 570630428688384 13695130288521216 328683126924509184 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x * 2) * 2) div (i + 1)) * ((i * 2) + 1)),x,1) + 1) div 2)
A082143: 1 3 20 140 1008 7392 54912 411840 3111680 23648768 180590592 1384527872 10650214400 82158796800 635361361920 4924050554880
((loop(\(x,i).((((x - (x div ((0 - 2) - 2))) * 2) + x) * 2),x,1) + 1) div 2)
A055270: 1 5 36 252 1764 12348 86436 605052 4235364 29647548 207532836 1452729852 10169108964 71183762748 498286339236 3488004374652
((loop(\(x,i).((((x * x) * x) * ((x + 2) + 1)) * (x + 2)),x,1) + 1) div 2)
A262187: 1 6 181440 4611686018427387903
(x - (x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)))
A171462: 0 1 2 2 4 4 6 4 6 8 10 8 12 12 12 8
(loop(\(x,i).((((x * 2) - ((x div 2) mod 2)) * (2 + 1)) + 1),(x + 1),1) div 2)
A037669: 3 20 120 723 4340 26040 156243 937460 5624760 33748563 202491380 1214948280 7289689683 43738138100 262428828600 1574572971603
(loop(\(x,i).((((x div 2) mod 2) + x) + (((x * 2) * 2) + 1)),(x + 1),1) div 2)
A037661: 3 16 80 403 2016 10080 50403 252016 1260080 6300403 31502016 157510080 787550403 3937752016 19688760080 98443800403
(loop(\(x,i).(((x * 2) * (2 + 1)) + ((x - 1) mod (2 + 1))),(x + 1),1) div 2)
A037662: 3 19 114 687 4123 24738 148431 890587 5343522 32061135 192366811 1154200866 6925205199 41551231195 249307387170 1495844323023
(loop(\(x,i).((((2 + 2) + 1) * x) + ((i * i) mod (2 + 1))),(x + 1),1) div 2)
A037654: 3 15 77 388 1940 9702 48513 242565 1212827 6064138 30320690 151603452 758017263 3790086315 18950431577 94752157888
(((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) + 2) * (x + 1)) - 1) * 2)
A132417-A103747: 2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 126
((loop(\(x,i).((x * 2) * (2 + 1)),x,2) * (((2 + 2) * (x + 1)) - 1)) * 2)
A268899: 12 168 1584 12960 98496 715392 5038848 34712064 235146240 1572120576 10400182272 68205846528 444063596544 2873352683520 18493942726656 118486616113152
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) * (x + 1)) - 1) * 2))
A017141: 7776 537824 5153632 24300000 79235168 205962976 459165024 916132832 1680700000 2887174368 4704270176 7339040224 11040808032 16105100000 22877577568 31757969376
((((loop(\(x,i).(((2 + 1) * x) - 1),x,1) + (x mod 2)) mod (x + 1)) + 1) div 2)
A276976: 0 1 1 2 1 2 1 4 3 2 1 2 1 2 3 4
(loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * i),(x + 1),1) div 2)
A102693: 1 5 42 504 7920 154440 3603600 98017920 3047466240 106661318400 4151586700800 177925144320000 8326896754176000 422590010274432000 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x + 1) div 2) - (x div ((i * 2) - 1))) + x),x,1) + 1) div 2)
A000930: 1 1 1 2 3 4 6 9 13 19 28 41 60 88 129 189
(((if ((x + 1) mod (1 - (x div (((0 - 2) - 2) - 1)))) <= 0 then 1 else 2) + 1) * 2)
A275161: 4 4 6 4 6 4 6 6 4 6 6 4 6 6 6 4
((((x mod ((loop(\(x,i).((x + 2) * x),2,2) mod (x + 1)) + 1)) div 2) + 1) div 2)
A065339: 0 0 1 0 0 1 1 0 2 0 1 1 0 1 1 0
((((((((if x <= 0 then 2 else (x div 2)) * (x + 2)) div 2) div 2) + 1) div 2) + 1) div 2)
A058747-A034322: 1 0 1 1 1 1 2 2 3 3 4 4 6 6 7 8
(if x <= 0 then 1 else ((((x div (((2 - ((x div 2) - 2)) * 2) + 1)) mod 2) + 1) * 2))
A318465: 1 2 2 2 2 4 2 2 2 4 2 4 2 4 4 4
((((2 + 2) * 2) * (x + 1)) - (if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2))
A059562: 7 15 23 31 39 47 55 63 71 79 87 94 102 110 118 126
(if x <= 0 then 1 else (((x * 2) - (((2 - x) + 1) div (((2 + 1) * 2) + 1))) * 2))
A311586: 1 4 8 12 18 22 26 30 34 38 42 48 52 56 60 64
((if x <= 0 then 2 else ((((((x * x) div (2 + 1)) + x) mod (2 + 1)) mod 2) + 1)) + 2)
A023402: 4 4 3 3 3 4 3 3 3 3 4 3 3 3 4 3
(2 - (((if x <= 0 then 1 else x) mod 2) - ((x mod (((x div (2 + 1)) * 2) - 1)) mod 2)))
A128428: 1 1 2 1 2 1 2 2 2 1 2 2 3 1 2 1
(((((loop(\(x,i).((x div 2) + x),(x - 2),2) div (x + 2)) + 1) div 2) + 1) div 2)
A017900-A017856-A017855: 1 0 0 0 0 0 1 1 1 1 1 1 2 3 4 5
loop(\(x,i).(x * 2),((((((x * 2) * 2) + 1) div ((x + 2) + 1)) * 2) + 1),2)
A339570: 4 16 16 64 64 64 64 64 256 256 256 256 256 256 256 256
((x - 1) mod (((((1 - loop(\(x,i).(x * 2),x,2)) mod (x + 1)) div 2) + 1) * 2))
A058026: 1 0 1 0 3 0 5 0 3 0 9 0 11 0 3 0
(((if (2 - x) <= 0 then (2 - (x div (0 - 2))) else 1) * (((x + 1) div 2) + 1)) div 2)
A333616: 0 1 3 6 6 10 10 15 15 21 21 28 28 36 36 45
((((loop(\(x,i).(x * 2),(((x mod 2) * 2) + x),x) mod (x + 1)) div 2) + 1) div 2)
A140129: 0 0 1 0 1 1 2 0 1 1 3 1 3 2 3 0
((((if x <= 0 then 2 else (x mod ((x mod ((x div (2 + 1)) + 1)) + 2))) div 2) + 1) * 2)
A303577: 4 2 2 2 2 4 2 2 2 2 4 2 2 4 4 2
(x div ((x div ((if (x mod 2) <= 0 then (((x div (2 + 2)) + 1) mod 2) else 2) + 1)) + 2))
A329981: 0 0 0 1 0 1 0 1 1 1 1 2 0 2 0 2
(if x <= 0 then 1 else ((((((x * x) mod (((x + 2) + 2) + 1)) div 2) mod 2) + 1) * 2))
A072048: 1 2 2 2 4 2 4 2 2 4 4 2 2 4 4 2
(if x <= 0 then 1 else ((((x * x) div ((x mod ((x mod (2 + 1)) + 2)) + 2)) + 1) * 2))
A222011: 1 2 4 8
A192078: 1 2 4 8 12 18 38
((if x <= 0 then 2 else ((((((x * x) div 2) mod ((x + 2) + 1)) div 2) div 2) + 1)) div 2)
A280152-A178691: 1 0 0 1 0 1 0 1 1 1 1 1 2 1 2 1
(((x + 2) + 2) div ((if (2 - x) <= 0 then ((((x mod 2) + 1) * 2) * 2) else 1) + 2))
A316384: 1 1 1 0 1 0 1 1 2 1 2 1 2 1 3 1
((((x + 2) + 1) mod ((((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2) * 2) + 1)) mod 2)
A118251: 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1
((if x <= 0 then 2 else (((x div 2) div ((2 - (((x - 1) div 2) div 2)) + 2)) + 1)) div 2)
A017854: 1 0 0 0 0 0 1 1 1 1 1 1 2 3 4 4
(if x <= 0 then 1 else (((x * 2) div (((((x div (2 + 2)) mod 2) + 2) + 2) + 1)) + 2))
A028827: 1 2 2 3 3 3 4 4 5 5 6 6 6 6 6 7
((if (x - 1) <= 0 then 0 else ((x mod ((x mod (((x div 2) mod 2) + 2)) + 2)) + 1)) div 2)
A090418: 0 0 1 1 0 1 0 1 0 0 1 2 0 1 1 1
(((((loop(\(x,i).((x * x) * (x + 1)),(x * x),2) + 2) + 2) * 2) + 1) * 2)
A116300: 26 66 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else ((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1))) div 2)
A107652: 1 0 0 0 1 0 0 0 0 0 0 1 2 1 0 0
((if x <= 0 then 1 else (((((x * 2) * 2) * 2) - 1) * (((2 + 2) * 2) + 1))) - 2)
A063337: ~1 61 133 205 277 349 421 493 565 637 709 781 853 925 997 1069
(if x <= 0 then 1 else (((x * 2) - (((2 - x) * 2) div (((2 + 2) * 2) + 1))) * 2))
A312484: 1 4 8 14 18 22 26 32 36 40 44 48 54 58 62 66
(loop(\(x,i).(((((x - 1) * x) - 1) * x) * x),x,(((2 + 2) * 2) + 1)) - 2)
A062644: 7 5749
loop(\(x,i).(x * x),1,((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 2))
A140978: 4 9 9 16 16 16 25 25 25 25 36 36 36 36 36 49
(2 - (if x <= 0 then 2 else ((x - ((((x * x) div 2) - 1) div ((2 + 2) + 1))) div 2)))
A316079: 0 1 1 1 1 1 1 1 1 1 2 2 3 4 5 6
(loop(\(x,i).((x div 2) + x),x,((((2 + 2) + 1) * 2) * ((2 + 2) + 1))) div 2)
A120148: 25 37 56 84 126 189 283 425 637 956 1434 2151 3226 4839 7259 10888
(if x <= 0 then 1 else ((((2 + 1) * x) - (((x + 1) * 2) div ((2 + 2) + 1))) * 2))
A315311: 1 6 10 16 20 26 32 36 42 46 52 58 62 68 72 78
(((x - ((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) * 2)) div ((2 + 2) + 1)) + 2)
A335898: 1 1 2 2 2 2 3 3 2 3 4 3 3 4 4 4
(if x <= 0 then 1 else ((((((x * x) * (2 + 1)) + x) div 2) div ((2 + 2) + 1)) + 2))
A193622: 1 2 3 5 7 10
A136413: 1 2 3 5 7 10 13 17 22 27 33 39 46 54 62 71
((loop(\(x,i).((x - (i mod 2)) * 2),x,2) div (2 + 1)) mod (((2 + 2) + 1) * 2))
A167280: 0 0 1 2 4 7 4 8 7 4 8 5 0 0 1 2
((loop(\(x,i).((x * 2) - ((i div 2) mod 2)),x,2) - 1) mod (((2 + 2) + 1) * 2))
A160590: 1 3 6 2 5 1 2 4 9 9 8 6 3 7 4 8
((((if (x - (2 + 1)) <= 0 then x else (2 + 2)) + x) + 1) mod (((2 + 2) + 1) * 2))
A127050: 1 3 5 7 9 0 1 2 3 4 5 6 7 8 9 0
(loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),x,1) mod (((2 + 2) + 1) * 2))
A193108: 1 4 0 0 5 6 4 0 5 0 6 4 5 0 0 6
(loop(\(x,i).(x div (2 + 1)),(x div 2),((x mod 2) + 2)) * (((2 + 2) + 1) * 2))
A171908: 20 30 0 10 0 0
((if ((x div ((2 + 2) + 1)) mod 2) <= 0 then x else (0 - x)) mod (((2 + 2) + 1) * 2))
A271751: 0 1 2 3 4 5 4 3 2 1 0 1 2 3 4 5
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((2 + 2) + 1) * 2))
A175224: 10 11 13 15 19 21 25 27 31 37 39 45 49 51 55 61
((x - ((0 - (if (((x div 2) - 2) - 2) <= 0 then 1 else x)) div ((2 + 2) + 1))) * 2)
A272670: 2 4 6 8 10 12 14 16 18 20 24 28 30 32 34 36
((((if (x mod 2) <= 0 then (2 - x) else x) mod (2 + 1)) + (x div ((2 + 2) + 1))) div 2)
A029381: 1 0 0 0 0 1 1 1 0 0 1 2 2 1 1 1
(loop(\(x,i).(((2 + 1) * x) + 1),x,(2 + 1)) mod ((x div ((2 + 2) + 1)) + 2))
A029211: 1 0 1 0 1 1 1 1 1 1 3 2 3 2 3 4
((if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 0 else 1) + ((x div ((2 + 2) + 1)) * 2))
A117451: 1 0 1 1 1 3 2 3 3 3 5 4 5 5 5 7
(((loop(\(x,i).(((((x div 2) + i) div (2 + 2)) + x) + 1),x,2) div 2) + 1) div 2)
A298603: 1 1 1 2 2 3 4 5 6 7 9 11 13 16 19 22
((((x + 1) div (((2 + 1) * 2) + 1)) + (if ((2 - x) + 2) <= 0 then 2 else 1)) + 2)
A006671: 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6
(if x <= 0 then 1 else ((((x * 2) - ((1 - (x * x)) div ((x + 2) + 2))) + 1) * 2))
A315734: 1 6 12 18 22 28 34 40 46 52 58 62 68 74 80 86
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) + 1) * 2))
A017094: 64 1000000 34012224 308915776 1544804416 5489031744 15625000000 38068692544 82653950016 164206490176 304006671424 531441000000 885842380864 1418519112256 2194972623936 3297303959104
(if x <= 0 then 1 else ((1 - (x mod ((((x div (2 + 1)) - (x div 2)) div 2) - 1))) * 2))
A331109-A286324: 1 2 2 2 2 4 2 4 2 4 2 4 2 4 4 4
(((loop(\(x,i).(x * 2),(x - 1),((x * x) mod (2 + 1))) + 1) div (2 + 1)) * 2)
A087464: 0 0 2 0 6 10 0 42 86 0 342 682 0 2730 5462 0
((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2)
A036554: 2 6 8 10 14 18 22 24 26 30 32 34 38 40 42 46
(((loop(\(x,i).((x * 2) * 2),x,1) div (((x mod 2) * 2) + 1)) * (2 + 1)) div 2)
A266984: 1 1 24 31 384 511 6144 8191 98304 131071 1572864 2097151 25165824 33554431 402653184 536870911
(((((loop(\(x,i).i,(((x - 1) div 2) div 2),1) + x) * 2) - 1) * (2 + 1)) - 2)
A225227: 1 7 13
A260682: 1 7 13 19 25 31 37 43 49 61 67 73 79 91 97 103
(((((((if x <= 0 then 2 else 0) + 2) * (2 + 1)) + 1) * (x + 1)) * (2 + 1)) div 2)
A167998: 19 21 31 42 52 63 73 84 94 105 115 126 136 147 157 168
((loop(\(x,i).((x * x) * (x - 1)),1,((x * 2) * (x + 1))) div (2 + 1)) * 2)
A265021: 0 32 1056 8832 41600 141600 390432 928256 1976832 3866400 7066400 12220032 20182656 32064032 49274400 73574400
(2 - (if x <= 0 then 1 else ((x mod 2) - ((x mod (x - ((x + 1) mod (2 + 1)))) div 2))))
A076755: 1 1 2 1 2 1 2 2 2 1 3 1 2 2 2 1
((((((if (x - (2 + 2)) <= 0 then x else (x + 1)) * 2) + 1) * 2) div (2 + 1)) * 2)
A162648: 0 4 6 8 12 16 20 22 24 28 30 32 36 38 40 44
(((((((if (x - 2) <= 0 then 1 else 2) + x) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2)
A085802: 4 6 9 13 15 18 19 22 24 27 28 31 33 36 37 40
((loop(\(x,i).(((x div (2 + 1)) + x) + 2),((x + 2) + 1),2) div (2 + 1)) + 2)
A005427: 5 7 9 12 16 22 29 39 52 69 92 123 164 218 291 388
((loop(\(x,i).(((x * x) + 2) * x),1,(((x * 2) + 1) * 2)) div (2 + 1)) + 2)
A167498: 6 78 342 926 1958 3566 5878 9022 13126 18318 24726 32478 41702 52526 65078 79486
((loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (((x - 1) div 2) mod (2 + 1))) div 2)
A132353: 1 2 6 20 61 183 547 1640 4920 14762 44287 132861 398581 1195742 3587226 10761680
((x + 2) mod ((if (x - 1) <= 0 then 0 else ((x mod ((0 - 2) - 2)) * (2 + 1))) + 2))
A221702: 0 1 0 0 0 0 0 0 0 ~3 0 0 0 ~6 0 0
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),2) - 2) * (2 + 1)) - 2)
A100413: 52 592 5992 59992 599992 5999992 59999992 599999992 5999999992 59999999992 599999999992 5999999999992 59999999999992 599999999999992 5999999999999992 59999999999999992
(((x - ((if x <= 0 then 1 else x) div (((2 - x) div (2 + 2)) - 2))) * (2 + 1)) div 2)
A286692: 1 3 4 6 9 10 12 13 15 18 19 21 22 24 25 27
(((((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) * 2) * 2) div (2 + 1)) * 2)
A036990: 0 2 4 8 10 12 16 18 20 24 32 34 36 40 42 44
((((x * 2) div (2 + 1)) - (if x <= 0 then 1 else (x div ((2 + 2) * (2 + 1))))) + 2)
A099802: 1 2 3 4 4 5 6 6 7 8 8 9 9 9 10 11
loop(\(x,i).(x * 2),x,(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)))
A135569: 0 2 4 16 16 64 128 384 256 1024 2048 6144 8192 24576 49152 131072
(1 - (if (x - 1) <= 0 then x else (((((x * x) + (x div 2)) div 2) div (2 + 1)) mod 2)))
A266588: 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1
(((((((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) + 1) * x) div 2) + (2 + 1)) div 2)
A108355: 1 2 3 4 4 4 6 8 7 6 9 12 10 8 12 16
(((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * (2 + 1)) div 2)
A168565: 4 7 10 16 19 25 28 34 43 46 55 61 64 70 79 88
(((compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) * 2) div (2 + 1)) + 2)
A296058: 2 4 5 8 9 12 13 16 20 21 25 28 29 32 36 40
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) * (2 + 1)) + 2))
A016938: 64 262144 7529536 64000000 308915776 1073741824 3010936384 7256313856 15625000000 30840979456 56800235584 98867482624 164206490176 262144000000 404567235136 606355001344
(((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) + (x * 2)) * (2 + 1)) div 2)
A330185: 3 7 12 16 21 25 30 34 39 42 46 51 55 60 64 69
((if x <= 0 then 2 else (1 - ((((2 - x) div (2 + 2)) * (x div 2)) div (2 + 1)))) div 2)
A029249: 1 0 0 1 1 1 1 1 2 2 2 3 3 3 4 5
((((if (x mod 2) <= 0 then (2 - x) else x) mod (2 + 1)) + ((x div 2) div (2 + 1))) div 2)
A025876: 1 0 0 0 0 1 1 1 0 0 1 1 2 1 1 1
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod ((2 + 1) * 2))
A259667: 1 1 2 5 2 0 0 3 2 2 2 4 4 4 0 3
((loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1) div (x + 1)) mod ((2 + 1) * 2))
A308347: 0 0 0 0 1 0 0 0 0 3 0 0 0 2 2 0
(x - ((if x <= 0 then 1 else ((((2 - (x div 2)) div 2) div 2) - 2)) - ((2 + 1) * 2)))
A093711: 5 9 10 11 12 13 15 16 17 18 19 20 21 22 24 25
loop(\(x,i).(((((2 + 2) + 1) * x) div (i + 1)) + x),(x * 2),((2 + 1) * 2))
A053127: 6 56 252 792 2002 4368 8568 15504 26334 42504 65780 98280 142506 201376 278256 376992
((if (x mod ((2 + 2) * 2)) <= 0 then 0 else ((x mod (2 + 2)) + x)) div ((2 + 1) * 2))
A330956: 0 0 0 1 0 1 1 1 0 1 2 2 2 2 2 3
((((if (((x - 1) * x) mod ((x div 2) + 1)) <= 0 then 0 else 1) + x) mod (2 + 1)) + 2)
A107795: 2 3 4 2 3 2 3 4 2 3 3 2 3 4 2 3
(((if ((((x * 2) mod ((x div 2) + 2)) div 2) mod 2) <= 0 then 1 else x) mod (2 + 1)) + 2)
A332875: 3 3 3 3 3 4 2 3 3 3 3 3 3 3 3 2
(if x <= 0 then 1 else ((x - (((((x div (2 + 2)) mod 2) - 1) - x) div (2 + 1))) * 2))
A231407: 1 4 6
A199536: 1 4 6 10 12 14 16 20 22 26 28 30 32 36 38 40
(if x <= 0 then 1 else (((x * 2) - ((((x div 2) mod (2 + 1)) - x) div (2 + 1))) * 2))
A315178: 1 6 10 14 18 22 28 34 38 42 46 50 56 62 66 70
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017189: 32 161051 3200000 20511149 79235168 229345007 550731776 1160290625 2219006624 3939040643 6590815232 10510100501 16105100000 23863536599 34359738368 48261724457
((if x <= 0 then 1 else (x * 2)) - (((((x div (2 + 1)) * 2) + x) div (2 + 1)) mod 2))
A191535-A100598: 1 2 4 5 8 10
A131396: 1 2 4 5 8 10 11 13 16 17 19 21 24 25 27 30
((((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) div 2) + x) * (2 + 1)) div 2)
A184903: 1 3 6 7 10 12 15 16 19 21 22 25 27 30 31 34
(x - (((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else 2) + (x div (2 + 1))) div 2))
A065328: 0 0 1 2 3 4 4 5 6 8 8 9 9 10 11 12
(if (x - 1) <= 0 then (x + 1) else (((2 - x) div ((x + 2) - (x div (2 + 1)))) mod 2))
A194301: 1 2 0 1 1 1 1 1 1 1 1 1 1 1 1 0
((if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then x else 2) div ((x div (2 + 1)) + 2))
A069851: 0 1 1 0 1 0 1 0 0 0 2 0 2 0 0 0
((if (x mod 2) <= 0 then ((x * x) mod (((2 + 1) * 2) + 1)) else (x mod (2 + 1))) + 2)
A224910: 2 3 6 2 4 4 3 3 3
(((if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 0 else 2) + (x mod (2 + 1))) div 2)
A327406-A284203-A005087: 0 0 1 0 1 1 1 0 1 1 1 1 1 1 2 0
((((((if (x - 2) <= 0 then 1 else 2) + x) * (2 + 1)) + 2) - (x mod (2 + 1))) div 2)
A184810: 2 3 4 8 9 10 13 14 15 17 18 19 22 23 24 26
(1 - (((if (x mod 2) <= 0 then x else (2 - x)) mod (2 + 1)) + ((x mod (2 + 1)) div 2)))
A101676: 1 0 ~2 ~1 0 0 1 0 ~2 ~1 0 0 1 0 ~2 ~1
((if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2) + ((x mod (2 + 1)) div 2))
A099812-A080942: 1 1 2 1 2 2 2 1 2 2 2 2 2 2 3 1
((((loop(\(x,i).(((2 + 1) * x) - 1),x,2) + ((x + 1) * x)) div 2) + 1) * 2)
A057583: 4 8 22 54 144
(((((((2 + 1) * x) + 1) * (2 + 1)) * ((if x <= 0 then 1 else x) + 2)) + 1) div 2)
A000338: 5 18 42 75 117 168 228 297 375 462 558 663 777 900 1032 1173
(((loop(\(x,i).((((x - 1) * x) div ((2 + 2) * 2)) + 1),2,x) div 2) + 1) div 2)
A069907: 0 0 0 0 0 0 1 1 2 3 4 6 9 12 16 22
(loop(\(x,i).((x + 1) * x),1,(x - (((((x div 2) mod 2) - x) div 2) - 1))) div 2)
A272398: 1 6 10 15 28 45 55 66 91 120 136 153 190 231 253 276
(if x <= 0 then 1 else (((((x + 1) * x) * ((2 + 2) + 1)) div ((x + 2) + 1)) + 2))
A311208: 1 4 8 12 16 20 25 30 34 39 44 49 54 58 63 68
(((loop(\(x,i).(x * x),2,((x * 2) - 1)) * (x + 1)) * ((x + 2) + 1)) * 2)
A323516: 6 16 2430
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((x + 2) + 1)) div 2)
A189176: 1 2 5 15 49 168 594 2145 7865 29172 109174 411502 1560090 5943200 22732740 87253605
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (x mod 2)) + 1),((x * 2) + 1),2)
A153848: 21 2121 212121 21212121 2121212121 212121212121 21212121212121 2121212121212121 212121212121212121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * 2) + 1) * (i + 2)) * (2 + 1)),2,((x * 2) + 1)) * 2)
A157266: 1320 3048 4776 6504 8232 9960 11688 13416 15144 16872 18600 20328 22056 23784 25512 27240
(if x <= 0 then 1 else (((x * 2) - ((1 - ((x * x) div 2)) div ((x * 2) + 1))) * 2))
A310372: 1 4 10 14 18 22 28 32 36 42 46 50 54 60 64 68
((if x <= 0 then 1 else ((x * x) div (((x + 2) * 2) + x))) + (((x * 2) + 1) * 2))
A259646: 3 6 10 14 19 23 27 31 36 40 44 49 53 57 62 66
(if x <= 0 then 1 else ((((1 - ((x mod 2) * 2)) * (2 + 1)) mod ((x * 2) - 1)) + 2))
A267046: 1 2 2 4 5 8 5 12 5 16 5 20 5 24 5 28
(if (x - 2) <= 0 then 1 else ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2))
A073253: 1 1 1 0 1 0 0 1 1 0 0 1 2 1 0 0
((((x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x mod 2))) - (x mod 2)) + 1) div 2)
A055684: 0 0 1 0 2 1 2 1 4 1 5 2 3 3 7 2
((compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),x) + 1) * 2)
A138929: 2 4 6 8 10 14 16 18 22 26 32 34 38 46 50 54
((((if (x mod (2 + 2)) <= 0 then (x mod (((2 + 2) * 2) + 1)) else 1) + x) + 1) div 2)
A140472: 0 1 2 2 4 3 4 4 8 5 6 6 8 7 8 8
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017297: 32 248832 5153632 33554432 130691232 380204032 916132832 1934917632 3707398432 6590815232 11040808032 17623416832 27027081632 40074642432 57735339232 81136812032
(1 - (loop(\(x,i).(((x * 2) * 2) - (((2 + 2) * 2) div (x + 1))),x,1) div 2))
A343164: 1 1 5 16 61 239
(1 - ((1 - x) div ((if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then x else 1) + 2)))
A068324: 1 1 2 2 2 3 2 3 4 4 2 5 2 5 6 6
(((((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) * 2) + x) - 1) * 2)
A194402: 2 4 6 8 10 12 14 16 18 20 26 28 34 36 38 40
((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * 2)
A234521-A085125: 2 4 6 8 10 12 14 16 18 20 24 28 30 32 36 40
((x - (loop(\(x,i).(((x div (((x mod 2) - 2) - 1)) mod 2) + x),2,x) - 1)) + 2)
A106601: 3 1 2 3 3 2 3 3 1 2 3 3 3 1 2 3
(2 - loop(\(x,i).(x - ((i - 1) mod (((2 + 2) * (2 + 1)) + 1))),(x + 1),2))
A268291: 0 1 3 6 10 15 21 28 36 45 55 66 78 78 79 81
((x + 2) div ((loop(\(x,i).((x * 2) * 2),((x + 2) + 1),1) mod (x + 1)) + 2))
A318622: 1 1 1 2 1 1 2 4 1 1 1 2 1 2 2 8
((loop(\(x,i).((((i * i) * (2 + 2)) + x) + 1),(x + 1),1) * (x + 1)) div 2)
A213846: 3 23 90 250 565 1113 1988 3300 5175 7755 11198 15678 21385 28525 37320 48008
((((if ((x + 1) mod ((x mod (2 + 1)) + 2)) <= 0 then 0 else 2) + 1) * (x + 1)) div 2)
A026217-A026197-A026178: 1 3 4 2 7 9 10 12 13 5 16 6 19 21 22 8
(((if (2 - x) <= 0 then ((((x div 2) * 2) div (2 + 1)) + 2) else 1) * (x + 1)) div 2)
A140208: 0 1 3 4 7 9 14 16 18 20 27 30 39 42 45 48
((if x <= 0 then 2 else (((((x mod 2) * x) mod ((2 + 2) * 2)) + 1) mod (x + 1))) div 2)
A263396: 1 0 0 0 0 0 0 0 0 1 0 2 0 3 0 4
((((if ((x * x) mod ((x + 2) + 2)) <= 0 then 2 else 1) * (2 + 1)) mod (x + 1)) div 2)
A049639: 0 0 0 1 0 1 1 1 1 1 1 1 3 1 1 1
(x div ((loop(\(x,i).(x * 2),((x + 2) mod (2 + 2)),(2 + 1)) mod (x + 1)) + 2))
A229878: 0 0 1 0 1 2
A037897: 0 0 1 0 1 2 1 0 1 1 2 1 0 1 2 1
((((((if (x mod 2) <= 0 then 1 else (2 + 2)) + (x * 2)) * x) + 1) * (x + 1)) div 2)
A342873: 0 7 16 62 92 213 276 508 616 995 1160 1722 1956 2737 3052 4088
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),(x + 1)) div 2)
A002054: 1 5 21 84 330 1287 5005 19448 75582 293930 1144066 4457400 17383860 67863915 265182525 1037158320
(((loop(\(x,i).((x * x) * (x + 1)),1,((x + 2) + 2)) div 2) * (x + 1)) div 2)
A005565: 20 75 189 392 720 1215 1925 2904 4212 5915 8085 10800 14144 18207 23085 28880
((((loop(\(x,i).((x * x) - 1),2,(2 + 2)) + 1) * (x + 2)) * (x + 1)) div 2)
A027470: 225 675 1350 2250 3375 4725 6300 8100 10125 12375 14850 17550 20475 23625 27000 30600
(loop(\(x,i).(((((x + 2) * x) * 2) - 1) * x),1,((x + 2) * (x + 1))) div 2)
A249961: 15 285 2010 8790 28785 77595 181860 383580 745155 1355145 2334750 3845010 6094725 9349095 13939080 20271480
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x + 2) * (x + 1)) div 2))
A059978: 1 729 46656 1000000 11390625 85766121 481890304 2176782336 8303765625 27680640625 82653950016 225199600704 567869252041 1340095640625 2985984000000 6327518887936
(x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2)))
A075423: 0 1 2 1 4 5 6 1 2 9 10 5 12 13 14 1
(((((if x <= 0 then 2 else ((x div 2) * x)) * (x - 1)) div 2) + 1) + ((x + 1) * 2))
A053614: 2 5 8 12 23 33
((if x <= 0 then 1 else (((x mod (((x mod 2) - 2) - 1)) mod 2) + 2)) + ((x + 1) * 2))
A097270: 3 7 9 11 12 15 16 19 21 23 24 27 28 31 33 35
((if x <= 0 then 1 else (x - ((x * x) div (((x + 2) + 2) * 2)))) + ((x + 1) * 2))
A137910: 3 5 8 11 13 16 19 21 24 26 29 31 34 37 39 42
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((x + 1) * 2))
A192327: 0 3 5 7 1 1 3 3 5 9 9 13 15 15 17 21
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),((x + 1) mod 2))
A126120: 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0
(loop(\(x,i).(x - ((x div (((0 - 2) - 2) - 1)) - 2)),(2 + 2),(x - 1)) - 2)
A169870: 9 10 14 15 17 20 21
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x - 2),x) * (x - 1)) div 2)
A081141: 0 0 1 33 726 13310 219615 3382071 49603708 701538156 9646149645 129687123005 1711870023666 22254310307658 285596982281611 3624884775112755
((((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * x) + 1) * (if x <= 0 then 1 else 2))
A005911: 1 48 186 416 738 1152 1658 2256 2946 3728 4602 5568 6626 7776 9018 10352
(((x mod ((((2 - x) * (x div 2)) div (2 + 1)) - 1)) mod 2) + (if x <= 0 then 1 else 2))
A049237: 1 2 2 3 2 3 2 3 3 2 3 3 3 2 3 3
((((((x - 1) * 2) mod (((x div 2) + 2) + 2)) div 2) div 2) + (if x <= 0 then 1 else 2))
A278744: 1 2 2 3 2 2 2 3 3 2 2 2 2 3 3 3
((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + x) + (if x <= 0 then 1 else 2))
A229109: 1 3 4 5 6 8 8 9 10 12 12 14 14 16 17 17
(((x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)) * x) + (if x <= 0 then 1 else 2))
A010019: 1 31 118 263 466 727 1046 1423 1858 2351 2902 3511 4178 4903 5686 6527
(loop(\(x,i).(((((((2 + 2) + 1) * i) + 1) * (i + 1)) div 2) + x),x,1) div 2)
A212982: 0 3 11 27 53 92 146 218 310 425 565 733 931 1162 1428 1732
(loop(\(x,i).(((((i * 2) * 2) - 1) * i) * x),x,1) * (((x * x) + 1) * 2))
A060942: 2 12 420 27720
((loop(\(x,i).((((x + 1) * 2) + 1) * ((2 + 2) + 1)),(x + 1),0) - 2) - 2)
A205086: 11 161 1661 16661 166661 1666661 16666661 166666661 1666666661 16666666661 166666666661 1666666666661 16666666666661 166666666666661 1666666666666661 16666666666666661
((x + 1) div (((x + 1) div ((if (x mod ((x mod 2) + 2)) <= 0 then 2 else 0) + 2)) + 2))
A167866: 0 0 1 1 1 1 2 1 2 2 2 1 2 1 3 2
(1 - ((loop(\(x,i).((((2 + 1) * x) + (x mod (2 + 1))) - 1),x,0) div 2) * 2))
A046631: 1 3 3 7 21 57 169 507 1515 4543 13629 40881 122641 367923 1103763 3311287
(1 - ((loop(\(x,i).((x * 2) - (((x div 2) + 1) mod (2 + 2))),x,0) div 2) * 2))
A133190: 1 3 3 5 13 27 51 101 205 411 819 1637 3277 6555 13107 26213
(if x <= 0 then 1 else (x div (((x div (((x - 1) mod ((2 + 2) + 1)) + 1)) + 2) + 2)))
A029393: 1 0 0 0 0 1 0 1 1 1 1 0 1 1 2 2
((if x <= 0 then 1 else x) - (((x - (((x div 2) mod ((2 + 2) + 1)) - 1)) div 2) div 2))
A006162: 1 1 2 3 4 4 5 6 7 8 8 8 9 10 11 12
(((x - loop(\(x,i).(x * 2),((x - (x div (2 + 1))) div (2 + 1)),1)) div 2) + 2)
A194339: 1 2 2 3 3 3 4 4 4 4 5 5 6 4 5 5
(if x <= 0 then 1 else ((((x + 1) div (((x mod (2 + 1)) * (2 + 1)) + 1)) mod 2) + 2))
A252229: 1 2 2 2 3 2 3 2 3 2 2 3 3 3 2 2
(2 - ((x mod 2) - (((x - 1) div (if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2)) mod 2)))
A161916: 3 1 2 2 3 1 3 1 3 1 2 2 3 1 2 2
(if x <= 0 then 1 else ((x - ((((x * 2) - 1) mod ((x div (2 + 1)) + 1)) div 2)) * 2))
A238898: 1 2 4 6 8 10 10 14 16 18 18 22 22 26 26 26
((1 - x) mod (if x <= 0 then 1 else (((x mod (((2 + 2) mod (x + 1)) + 1)) div 2) + 2)))
A159200: 0 0 1 0 1 0 1 0 2 0 1 0 1 0 3 0
((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * 2) * 2)
A177108: 28 388 3988 39988 399988 3999988 39999988 399999988 3999999988 39999999988 399999999988 3999999999988 39999999999988 399999999999988 3999999999999988 39999999999999988
(if x <= 0 then 1 else ((((x - 2) mod ((((1 - x) mod (2 + 1)) * 2) + 1)) div 2) + 2))
A067131: 1 2 2 2 2 3 2 2 2 2 2 4 2 2 3 2
((if x <= 0 then 0 else 1) - ((((x * 2) mod ((((x div 2) + 1) div 2) + 1)) div 2) * 2))
A011630-A011597: 0 1 1 1 1 1 1 ~1 1 1 1 ~1 1 ~1 ~1 1
(((x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else ((0 - 2) - 2)) + 1)) + 2) div 2)
A124751: 1 0 1 0 1 0 1 ~1 1 ~1 1 ~1 1 ~2 2 ~2
(1 - ((if x <= 0 then 2 else (x - ((((x * x) div ((2 + 2) * 2)) + 1) div 2))) div 2))
A343633: 0 1 0 0 0 0 ~1 ~1 ~1 ~1 ~1 0 0 0 0 1
(loop(\(x,i).(x * 2),(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)),2) * 2)
A098354: 4 8 8 16 16 16 32 32 32 32 64 64 64 64 64 128
(if x <= 0 then 1 else (((((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1) div 2) + 2))
A081743: 1 2 2 2 2 3 3 2 2 3 3 3 3 4 4 2
(((x - ((if ((x div 2) - 2) <= 0 then 2 else (x - 2)) mod ((2 + 2) + 1))) div 2) + 2)
A130312: 1 1 2 2 3 3 3 5 5 5 5 5 8 8 8 8
(if x <= 0 then 1 else ((x - ((((2 - x) - (x * 2)) div ((2 + 2) + 1)) * 2)) * 2))
A315889: 1 6 8 14 16 22 28 30 36 38 44 50 52 58 60 66
(((((if (x mod (2 + 2)) <= 0 then 2 else 0) - (x div 2)) mod ((2 + 2) + 1)) + 2) + 2)
A199815: 6 4 8 8 4 7
(if (x mod ((2 + 2) + 1)) <= 0 then 0 else (1 - (((x div ((2 + 2) + 1)) mod 2) * 2)))
A330025: 0 1 1 1 1 0 ~1 ~1 ~1 ~1 0 1 1 1 1 0
((if x <= 0 then 2 else (((x div (2 + 2)) + 1) - ((x mod ((2 + 2) + 1)) mod 2))) div 2)
A025859: 1 0 0 0 1 1 0 1 1 1 1 1 2 1 2 2
(((x - (if (((x * x) div 2) mod (2 + 1)) <= 0 then (x div (2 + 2)) else 1)) div 2) + 2)
A074990: 2 2 2 3 3 4 4 5 5 6 6 6 6 7 8 9
(loop(\(x,i).((x + 1) * x),1,(((((x + 2) * (x + 2)) * 2) - 1) * 2)) * 2)
A160372: 420 2380 7812 19404 40612 75660 129540 208012 317604 465612 660100 909900 1224612 1614604 2091012 2665740
(((((((x div 2) * x) + (if x <= 0 then 0 else 1)) mod (2 + 1)) * (2 + 1)) div 2) + 2)
A204895: 2 3 2 3 2 5 3 3 2 3 2 5 3 3 2 3
(if x <= 0 then 1 else (x - ((((((x div 2) + 1) div (2 + 1)) * (2 + 1)) div 2) * 2)))
A162751: 1 1 2 3 2 3 4 5 6 7 4 5 6 7 8 9
((if (x - 1) <= 0 then x else (((x - ((x div 2) mod (2 + 1))) div (2 + 1)) + 2)) + 2)
A167991: 2 3 4 4 4 5 6 6 6 6 6 7 8 8 8 8
((loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (((x + 1) div (2 + 1)) mod 2)) * 2)
A135263: 2 8 28 82 244 728 2186 6560 19684 59050 177148 531440 1594322 4782968 14348908 43046722
(((loop(\(x,i).((x div (2 + 1)) + x),(x - 2),(2 + 2)) div (2 + 1)) * 2) * 2)
A245356: 4 4 4 4 8 8 12 16 20 28 36 48 64 88 116 156
loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2)
A117973: 2 4 4 8 4 8 8 16 4 8 8 16 8 16 16 32
((if x <= 0 then 1 else x) - (((x - ((((x - 1) * x) div 2) div (2 + 1))) div 2) div 2))
A048856: 1 1 2 3 4 5 6 7 9 10 12 13 15 17 18 20
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017573: 1024 1048576 17210368 102400000 380204032 1073741824 2535525376 5277319168 10000000000 17623416832 29316250624 46525874176 71008211968 104857600000 150536645632 210906087424
((loop(\(x,i).(x * x),1,(((x + 2) * 2) - ((x * 2) div (2 + 1)))) * 2) + 2)
A277449: 34 74 100 130 202 244 290 394 452 514 650 724 802 970 1060 1154
(loop(\(x,i).(((x + 2) * 2) + 1),(x div 2),(((x mod 2) * (2 + 1)) + 2)) + 2)
A133257: 4 7 11 17 25 37 53 77 109 157 221 317 445 637 893 1277
(((loop(\(x,i).(((x div ((2 + 2) + 1)) + i) + x),x,2) div (2 + 1)) + 2) div 2)
A261154: 1 1 1 2 3 4 6 8 11 14 18 24 30 38 48 60
(if x <= 0 then 1 else (((((x div ((2 + 2) * (2 + 1))) + x) * (2 + 1)) div 2) * 2))
A229488: 1 2 6 8 12 14 18 20 24 26 30 32 38 42 44 48
((loop(\(x,i).(((x div ((x mod (2 + 2)) + 1)) + x) + 1),x,(2 + 1)) div 2) div 2)
A048330: 0 1 2 3 4 6 12 18 24 31 62 93 124 156 312 468
(((loop(\(x,i).((((x - 1) * x) div (x + 2)) + 2),2,x) * (2 + 1)) div 2) div 2)
A120505: 1 1 1 2 3 3 3 3 4 5 6 6 7 8 9 9
(((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + (2 + 1)) * 2) * 2)
A273801: 16 24 32 48 56 72 80 96 120 128 152 168 176 192 216 240
(((((if (x - 2) <= 0 then 2 else ((x * x) * (x div 2))) + x) * (2 + 1)) div 2) - 2)
A255730: 1 2 4 16 52 80
((if x <= 0 then 1 else (((((x * 2) * 2) + (x mod 2)) - (x div (2 + 1))) * 2)) + 2)
A063229: 3 12 18 26 32 42 46 56 62 70 76 86 90 100 106 114
((((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1)) + (((x div (2 + 1)) mod 2) * 2))
A021697: 0 0 1 4 4 3 0 0 1 4 4 3 0 0 1 4
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * 2) * 2))
A017118: 4096 2985984 64000000 481890304 2176782336 7256313856 19770609664 46656000000 98867482624 192699928576 351298031616 606355001344 1000000000000 1586874322944 2436396322816
(if x <= 0 then 1 else (x div ((((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2) + 2)))
A264592: 1 0 0 0 0 1 1 1 1 1 1 1 2 2 3 3
((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) - ((((x div 2) + 1) div 2) mod 2))
A281459: 1 1 0 0 0 0 1 1 1 1 0 0 0 1 2 2
((loop(\(x,i).((((2 + 2) + 1) * x) + 2),(x div 2),((x mod 2) + 1)) * 2) * 2)
A117864: 4 8 28 48 148 248 748 1248 3748 6248 18748 31248 93748 156248 468748 781248
((if x <= 0 then 1 else (((((x div (2 + 1)) * 2) + x) - ((x mod 2) - 1)) * 2)) + 2)
A063227: 3 4 8 12 16 16 24 24 28 32 36 36 44 44 48 52
(x mod (((((((if ((x div 2) - 2) <= 0 then 2 else 0) * 2) + 1) * x) - 1) div 2) div 2))
A325817: 0 0 0 0 0 5 0 0 0 1 0 1 0 1 2 0
(((((x div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2)) + x) + 1) * 2) * 2)
A217319: 4 8 12 20 24 28 36 40 44 52 56 60 64 68 72 76
((loop(\(x,i).((((((x mod 2) * 2) + x) * (2 + 2)) + x) * 2),x,1) div 2) * 2)
A136921: 0 26 260 2600 26000 260000 2600000 26000000 260000000 2600000000 26000000000 260000000000 2600000000000 26000000000000 260000000000000
((((((x + 1) * (2 + 1)) + (if (x - 2) <= 0 then 1 else 0)) * (x + 1)) div 2) div 2)
A184534: 1 3 7 12 18 27 36 48 60 75 90 108 126 147 168 192
(((((if (x mod 2) <= 0 then x else (((x div 2) + 1) mod 2)) + 1) * (x + 1)) div 2) div 2)
A086111: 0 1 2 1 6 3 12 2 20 5 30 3 42 7 56 4
((compr(\x.((loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)) - 2),(x + 1)) + 2) * 2)
A085681: 6 10 14 20 22 26 28 34 38 44 46 52 58 62 68 74
((((loop(\(x,i).((i * i) + x),(x + 1),1) * (x + 2)) * (x + 1)) div 2) div 2)
A095166: 1 9 45 155 420 966 1974 3690 6435 10615 16731 25389 37310 53340 74460 101796
((if x <= 0 then 0 else 1) - ((((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2) * 2))
A112347: 0 1 1 ~1 1 1 ~1 ~1 1 1 1 ~1 ~1 1 ~1 ~1
((x - ((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2)))) + (((x + 1) div 2) div 2))
A145353-A013936: 1 2 3 5 6 7 8 10 12 13 14 16 17 18 19 22
loop(\(x,i).(((x div 2) + 1) * 2),(x div ((2 + 2) * 2)),(((x + 1) div 2) div 2))
A082871: 0 0 0 1 1 1 1 2 4
A334897: 0 0 0 1 1 1 1 2 4 4 4 4 4 4 4 6
((loop(\(x,i).((2 + 1) * x),x,1) - ((((x * x) - 1) * (x - 1)) div 2)) div 2)
A231255: 0 1 4 9 29 97
(((((x div 2) mod (((0 - x) mod (2 + 2)) + 1)) div 2) + (if x <= 0 then 1 else 2)) + 2)
A332325: 3 4 4 4 4 5 4 4 4 4 5 4 4 5 4 4
(((((((x + 2) + 2) + 2) + 1) * ((x + 2) + 2)) + (if x <= 0 then 1 else 2)) div 2)
A006625: 14 21 28 36 45
(((((x - (x div ((0 - 2) - 2))) div (2 + 1)) + x) + (if x <= 0 then 1 else 2)) + 2)
A346232: 3 5 7 8 9 11 12 14 15 17 18 19 21 22 24 25
(((loop(\(x,i).((((i * i) * (i * i)) div 2) + x),(x + 1),0) div 2) div 2) div 2)
A011888: 0 1 6 22 61 142 292 548 958 1583 2498 3794 5579 7980 11144 15240
(loop(\(x,i).((x div 2) + x),x,(((((2 + 2) * (2 + 1)) - 1) * 2) * 2)) div 2)
A120146: 22 33 49 74 111 166 249 374 561 841 1262 1893 2839 4259 6388 9582
(((if (((2 - ((x div (2 + 2)) mod 2)) + x) mod (2 + 1)) <= 0 then 1 else 2) + 2) + 2)
A023408: 6 5 6 6 6 5 6 6 6 6 5 6 6 6 5 6
((((loop(\(x,i).(((i * x) * 2) + 1),x,1) * ((x * 2) + 1)) div 2) div 2) div 2)
A327606: 0 1 8 69 712 8705 123456 1994293 36163184 727518177 16081980760 387499155461 10108673620728 283851555270049 8536572699232592 273759055527114165
(((loop(\(x,i).((((i * 2) + 1) * x) * ((i * 2) + 1)),x,1) div 2) div 2) div 2)
A249348: 0 1 28 1378 111628 13507003 2282683528 513603793828 148431496416328 53583770206294453 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((((if (2 - x) <= 0 then 2 else 1) + x) + 1) + 2) * (x + 1)) div 2) + 2) * 2)
A248427: 8 14 24 36 48 64 80 100 120 144 168 196 224 256 288 324
(if x <= 0 then 1 else ((((((((x div 2) - 1) div 2) mod 2) * (x + 1)) div 2) div 2) div 2))
A017858: 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 2
((((loop(\(x,i).((i + x) * (x * 2)),x,(2 + 2)) div (x + 1)) + 2) div 2) + 2)
A007540: 5 13 563
((((x - 1) * 2) mod ((((x div 2) div (2 + 1)) + (if x <= 0 then 1 else 2)) + 2)) div 2)
A194942: 0 0 1 0 1 0 0 1 2 0 1 0 2 0 1 2
(1 - (x div (((2 - x) div (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 2)) - 2)))
A340542: 1 2 2 2 3 3 3 4 4 3 4 4 3 5 5 3
((((loop(\(x,i).(((x div ((i mod 2) + 2)) + x) + 1),x,0) div 2) div 2) div 2) div 2)
A319473-A308990-A026814-A024793: 0 0 0 0 0 0 0 0 1 1 2 3 5 7 11 15
(loop(\(x,i).((x * 2) - 1),x,((((((2 + 1) * 2) + 1) * 2) * 2) * 2)) div 2)
A079731: 28 55 110 220 440 880 1760 3520
(((((((if x <= 0 then 0 else (x + 2)) + ((2 + 2) * 2)) + 1) * 2) * 2) * 2) * 2)
A323614: 144 192 208 224 240 256 272 288 304 320 336 352 368 384 400 416
((if x <= 0 then 0 else 1) - (((x - ((((x div 2) * (2 + 1)) div 2) div 2)) mod 2) * 2))
A070750: 0 ~1 1 ~1 ~1 1 1 ~1 ~1 1 ~1 1 1 ~1 ~1 1
(((if x <= 0 then 1 else (((((2 + 1) * x) - (x div (2 + 1))) * 2) * 2)) + 2) + 2)
A063236: 5 16 28 36 48 60 68 80 92 100 112 124 132 144 156 164
((x + 1) div (if x <= 0 then 1 else ((((x mod ((x mod (2 + 1)) + 2)) div 2) + 2) * 2)))
A193677: 1 0 0 1 1 1 1 2 2 2 2 2 3 3 2 4
((x + 1) div ((x div ((if (x mod 2) <= 0 then ((x mod (2 + 1)) div 2) else 2) + 2)) + 2))
A345222-A317751-A122375-A106490: 0 1 1 2 1 2 1 2 2 2 1 3 1 2 2 3
(if x <= 0 then 1 else (((((((x div 2) div (2 + 1)) * (x + 1)) div 2) div 2) mod 2) + 2))
A183027: 1 2 2 2 2 2 3 2 2 2 2 3 2 3 3 2
(if x <= 0 then 0 else (1 - (((((((x div 2) + 1) * (x - 1)) div 2) div 2) mod 2) * 2)))
A011625: 0 1 1 ~1 1 ~1 ~1 1 1 1 ~1 ~1 ~1 ~1 1 1
(1 - ((((x * 2) div ((x div ((if (x - 2) <= 0 then 0 else 2) + 2)) + 2)) mod 2) * 2))
A181432: 1 ~1 ~1 ~1 1 ~1 1 1 1 1 ~1 ~1 1 ~1 ~1 1
((((loop(\(x,i).(((x * x) - 1) * x),((x * x) + 1),2) * 2) * 2) * 2) + 2)
A164986: 50 1682 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,((x * x) div ((((2 + 2) * 2) * 2) * 2))) div 2) div 2)
A035564: 0 0 0 0 0 0 0 0 1 1 2 2 4 6 9 12
((x - ((if x <= 0 then 2 else (x div (((x div 2) - ((2 + 2) * 2)) - 2))) div 2)) + 2)
A026462: 1 4 5 6 7 8 9 10 11 12 13 15 16 17 19 20
((if x <= 0 then 1 else ((((x - 1) mod ((x div ((x mod 2) + 2)) + 2)) mod 2) + 2)) * 2)
A138125: 2 4 6 4 6 6 4 4 6 6 4 4 6 4 4 4
(if x <= 0 then 1 else (((x * 2) - (x div ((((x div 2) mod (2 + 2)) + 2) + 2))) + 2))
A231407: 1 4 6
A322368: 1 4 6 8 10 12 14 15 16 18 20 22 24 26 28 30
(if (x - 2) <= 0 then 1 else ((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * 2))
A099766: 1 1 1 0 2 0 0 2 2 0 0 2 2 2 0 0
(if x <= 0 then 1 else ((((2 + 1) * x) - (x div (((x div (2 + 2)) + 2) + 2))) * 2))
A315757: 1 6 12 18 24 28 34 40 46 52 58 64 70 76 80 86
(((x - (((x div 2) - (if ((x div 2) - 2) <= 0 then (x - 2) else 2)) div 2)) div 2) + 2)
A196155: 1 2 3 3 4 5 5 5 5 6 6 7 7 7 8 8
(if x <= 0 then 1 else (((((x * 2) + 1) mod (x - ((x + 1) mod (2 + 2)))) div 2) + 2))
A134868: 1 2 2 2 2 3 2 2 3 4 2 2 3 4 5 2
(((if x <= 0 then 0 else 2) + 2) div (2 - ((x * 2) mod (1 - (((2 + 2) * 2) * 2)))))
A320318: 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2
(((x div (2 + 1)) + 2) div (if (x - 1) <= 0 then 1 else ((x mod ((2 + 2) * 2)) + 2)))
A240067-A240066: 2 2 0 0 0 0 0 0 2 1 1 1 1 0 0 0
((if x <= 0 then 0 else (2 - (((x mod 2) - (((x - 1) * x) div (2 + 2))) div 2))) div 2)
A114372-A112021: 0 1 1 1 2 2 3 3 4 5 6 7 9 10 12 14
((x mod ((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) - x) mod (2 + 2)) + 2)) div 2)
A127326: 0 0 1 0 0 0 1 0 0 2 1 1 0 0 0 0
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (x div (((x div (2 + 2)) + 2) + 2)))
A313721: 1 5 10 15 20 24 29 34 39 44 49 54 59 64 68 73
(((if x <= 0 then 0 else (((((1 - x) mod ((x div 2) + 2)) + x) div 2) + 2)) + 2) div 2)
A196183: 1 2 3 3 3 3 3 4 5 5 5 5 6 6 6 6
((if x <= 0 then 0 else 1) - (((((x * x) * (x + 1)) div ((x + 2) + 2)) mod 2) * 2))
A011613-A011601: 0 1 1 ~1 1 1 ~1 ~1 1 1 1 1 ~1 ~1 ~1 ~1
(if x <= 0 then 1 else ((x - (((((x div (2 + 2)) + 2) * (x div 2)) div 2) div 2)) + 2))
A119476: 1 3 4 5 5 6 6 7 6 7 7 8 7 8 8 9
(if x <= 0 then 1 else (((((x * x) div (2 + 2)) + x) + (((x div 2) + 2) * 2)) * 2))
A245578: 1 10 18 22 32 38 50 58 72 82 98 110 128 142 162 178
(x - ((((if (x mod 2) <= 0 then 2 else ((x * x) * x)) mod ((x div 2) + 2)) div 2) - 2))
A091937: 2 3 3 5 5 7 7 8 9 10 11 13 13 13 15 17
(((x * 2) * (2 + 1)) - (((if x <= 0 then 1 else x) * 2) div (1 - ((2 + 2) * 2))))
A225227: 1 7 13
A004082: 1 7 13 19 26 32 38 44 51 57 63 70 76 82 88 95
((x div (((2 + 1) * 2) + 1)) - ((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2))))
A025784: 1 1 1 1 1 1 1 2 3 3 3 3 3 3 4 5
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod ((2 + 2) * 2))
A159987: 1 1 2 5 6 2 4 5 6 6 4 2 4 4 0 5
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 2),1) div 2) - ((2 + 2) * 2))
A086944: 42 492 4992 49992 499992 4999992 49999992 499999992 4999999992 49999999992 499999999992 4999999999992 49999999999992 499999999999992 4999999999999992 49999999999999992
(loop(\(x,i).((i + x) - (x div ((2 + 2) * (i + 1)))),x,2) + ((2 + 2) * 2))
A290745: 10 11 13 16 20 25 31 38 46 55 64 74 85 97 110 124
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((2 + 2) * 2))
A039706: 2 3 5 7 3 5 1 3 7 5 7 5 1 3 7 5
loop(\(x,i).(x - (((2 - x) * 2) div (((2 + 1) * 2) + 1))),x,((2 + 2) * 2))
A275627-A010916: 8 10 13 17 22 28 36 46 59 76 98 126 162 208 267 343
(loop(\(x,i).(((x * 2) * 2) * 2),x,(((2 + 2) * 2) + x)) div ((2 + 2) * 2))
A081108: 1 9 80 704 6144 53248 458752 3932160 33554432 285212672 2415919104 20401094656 171798691840 1443109011456 12094627905536 101155069755392
(loop(\(x,i).(((x div ((2 + 2) * (i + 1))) + x) + 2),2,x) + ((2 + 2) * 2))
A125290-A101594: 12 13 14 15 16 17 18 19 21 23 24 25 26 27 28 29
(loop(\(x,i).((((x + 2) * 2) * 2) + x),((x div 2) - 2),x) div ((2 + 2) * 2))
A124482: 0 0 0 0 0 0 4 5 31
(if x <= 0 then 1 else (((x * 2) - ((((x div 2) mod (2 + 2)) - x) div (2 + 2))) * 2))
A315173: 1 6 10 14 18 22 26 30 36 42 46 50 54 58 62 66
(x - loop(\(x,i).((1 - x) * x),1,(2 - (x div (((2 - x) div (2 + 2)) - 2)))))
A317303: 2 7 8 9 16 17 18 19 20 29 30 31 32 33 34 35
(1 - (((if ((x - 1) mod ((2 + 2) * 2)) <= 0 then x else 1) - (x div (2 + 2))) div 2))
A044931: 1 1 1 1 1 1 1 1 2 ~2 2 2 2 2 2 2
(if (x - 2) <= 0 then x else ((((((x + 1) div 2) div 2) div 2) + (x div (2 + 2))) + 2))
A269381: 0 1 2 2 3 3 3 4 5 5 5 5 6 6 6 7
((loop(\(x,i).((x * 2) - ((x - ((x mod 2) * 2)) div (2 + 1))),x,2) div 2) div 2)
A292432: 0 1 1 3 5 9 16 27 46 76
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017621: 32768 3200000 33554432 164916224 550731776 1453933568 3276800000 6590815232 12166529024 21003416576 34359738368 53782400000 81136812032 118636749824 168874213376 234849287168
(((loop(\(x,i).(x * 2),x,((((x + 2) + 2) * (x + 2)) + x)) div 2) div 2) div 2)
A084851: 1 4 13 38 104 272 688 1696 4096 9728 22784 52736 120832 274432 618496 1384448
(x div ((((1 - loop(\(x,i).((2 + 1) * x),x,(2 + 1))) mod (x + 2)) + 2) + 2))
A238660: 0 0 0 0 0 1 0 1 0 2 0 2 0 1 1 3
((loop(\(x,i).i,(((x div 2) - 2) - 2),x) + (x * 2)) + (((x * 2) * 2) * 2))
A178359: 0 11 22 33 44 55 66 77 88 99 101 111 122 132 143 153
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - (((x * 2) * 2) * 2)))
A016986: 0 117649 7529536 85766121 481890304 1838265625 5489031744 13841287201 30840979456 62523502209 117649000000 208422380089 351298031616 567869252041 885842380864 1340095640625
loop(\(x,i).(((x * x) * x) * (x * x)),1,(2 - (x - (((x * 2) * 2) * 2))))
A017009: 32 59049 1048576 6436343 24300000 69343957 164916224 345025251 656356768 1160290625 1934917632 3077056399 4704270176 6956883693 10000000000 14025517307
((((loop(\(x,i).(((x * x) * x) + 1),2,2) * (x + 1)) + (x div 2)) + 2) div 2)
A033174: 366 731 1096 1461 1827 2192 2557 2922 3288 3653 4018 4383 4749 5114 5479 5844
((if x <= 0 then 1 else ((x * 2) * 2)) - (((x + 1) div (2 - ((x div 2) mod 2))) div 2))
A310704: 1 4 7 10 15 19 21 24 30 34 35 38 45 49 49 52
loop(\(x,i).(x * 2),(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),2)
A101926: 2 4 16 32 256 512 2048 4096 65536 131072 524288 1048576 8388608 16777216 67108864 134217728
((x * 2) div (((x div ((if (x mod (2 + 1)) <= 0 then 1 else 2) + (x mod 2))) + 2) + 2))
A326034: 0 0 0 1 1 2 1 2 2 2 2 3 1 3 2 2
(((x + 2) div (if x <= 0 then 1 else ((((x div (2 + 1)) mod 2) + (x mod 2)) + 2))) div 2)
A025813: 1 0 1 0 1 0 2 1 2 1 2 1 3 2 4 2
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((x mod 2) + 2) + 2))
A107622: 4 6 7 10 13 16 19 22 25 32 33 40 43 46 49 56
(((((x * x) * x) * (x * x)) * (x * x)) mod loop(\(x,i).((x * x) + 2),2,2))
A070719: 0 1 14 21 6 35 28 7 8 23 34 11 12 29 22 13
(1 - ((x mod ((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 1) + 1)) mod (2 + 2)))
A011632: 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 1
A016221-A016053-A015997-A015885-A015717-A015661-A015493-A015325-A015213-A015157-A015045-A014877-A014821-A014653-A014541-A014485-A014373-A014317: 1 0 ~1 0 1 0 ~1 0 1 0 ~1 0 1 0 0 0
(((loop(\(x,i).((x * x) * x),1,((x div 2) + 1)) * x) div (2 + 1)) mod (2 + 2))
A174428: 0 0 1 0 0 1 0 1 1 3 0 0 0 2 1 0
(((x div 2) + 1) div ((((x div (2 + 1)) mod 2) + 1) * (if x <= 0 then 1 else (2 + 2))))
A025897: 1 0 0 0 0 0 1 1 1 0 0 0 1 1 2 1
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),(((x * 2) + 1) * 2),(2 + 2))
A013880: 4096 4294967296 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x mod ((((if (x mod 2) <= 0 then (x mod ((2 + 2) + 1)) else 1) + x) div 2) + (2 + 2)))
A031087: 0 1 2 3 4 5 6 7 8 0 1 1 1 2 1 3
(((if x <= 0 then 2 else ((((1 - x) * x) mod ((2 + 2) + 1)) - 1)) + x) div (2 + 2))
A337926: 0 0 1 1 1 1 1 2 2 2 2 2 3 4 4 3
((((if ((x div (2 + 1)) - 2) <= 0 then 0 else x) div ((2 + 2) + 1)) + x) + (2 + 2))
A191842: 4 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22
((loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x) * (2 + 2))
A213258: 4 12 20 28 32 36 44 52 60 68 76 84 92 96 100 108
(((x * 2) * 2) - ((((x div 2) mod (2 + 2)) - (if x <= 0 then 1 else x)) div (2 + 2)))
A314672: 1 5 9 13 17 21 25 29 34 39 43 47 51 55 59 63
(loop(\(x,i).(x * 2),(x - 1),((((x + 2) * (x + 1)) div 2) + x)) div (2 + 2))
A049611: 0 1 4 13 38 104 272 688 1696 4096 9728 22784 52736 120832 274432 618496
(2 div ((if (((x + 1) div ((x mod (2 + 2)) + 2)) mod 2) <= 0 then 2 else x) mod (2 + 2)))
A000164: 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 0
(compr(\x.(((loop(\(x,i).(x * 2),x,2) - 1) mod ((x div 2) + 2)) div 2),x) div (2 + 2))
A302929: 0 0 0 0 1 2 2 4 4 5 6 6 7 8 10 10
(((((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2) + x) div 2) + x) + (2 + 2))
A180638: 4 6 8 9 11 12 14 15 17 18 20 21 23 24 25 27
((((loop(\(x,i).(x * 2),x,1) + x) div ((2 + 2) + 1)) + 1) + (x div (2 + 2)))
A068604: 1 1 2 3 6 9 16 29 55
((if ((x + 1) mod (2 + 2)) <= 0 then ((x div (2 + 2)) + 2) else 1) + (x mod (2 + 2)))
A007880: 1 2 3 5 1 2 3 6 1 2 3 7 1 2 3 8
((loop(\(x,i).(x - ((x * 2) div (((i * 2) * 2) + 1))),x,x) + x) + (2 + 2))
A137242-A049579: 4 6 8 9 11 12 14 15 16 18 19 21 22 23 24 25
(((loop(\(x,i).(x * 2),(x - 1),(((x + 2) * (2 + 1)) - 1)) * x) div 2) div 2)
A089658: 0 2 11 42 136 400 1104 2912 7424 18432 44800 107008 251904 585728 1347584 3072000
(loop(\(x,i).((x mod (((x mod 2) + 2) * 2)) + ((x div (2 + 1)) + 1)),x,2) + 2)
A146968: 4 5 7
A094328: 4 5 7 9 6 4 5 7 9 6 4 5 7 9 6 4
(2 - (((if (x - ((2 + 2) * 2)) <= 0 then (((2 + 2) * 2) + 1) else x) + 2) * 2))
A291522: ~20 ~20 ~20 ~20 ~20 ~20 ~20 ~20 ~20 ~20 ~22 ~24 ~26 ~28 ~30 ~32
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017321: 1024 537824 7962624 45435424 164916224 459165024 1073741824 2219006624 4182119424 7339040224 12166529024 19254145824 29316250624 43204003424 61917364224 86617093024
(x - ((((if ((x div (2 + 1)) mod 2) <= 0 then (x div (2 + 2)) else 1) + x) div 2) * 2))
A002819: 0 1 0 ~1 0 ~1 0 ~1 ~2 ~1 0 ~1 ~2 ~3 ~2 ~1
((((loop(\(x,i).(i - ((i + 1) mod (x + 1))),x,0) * (2 + 1)) + x) + 2) + 2)
A004756: 4 8 9 16 17 18 19 32 33 34 35 36 37 38 39 64
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) + 2) * 2))
A016962: 4096 1000000 16777216 113379904 481890304 1544804416 4096000000 9474296896 19770609664 38068692544 68719476736 117649000000 192699928576 304006671424 464404086784 689869781056
(if x <= 0 then 1 else (((x * 2) - ((2 - (x * x)) div (((2 + 1) * x) + 2))) * 2))
A310378: 1 4 10 14 18 24 28 34 38 42 48 52 56 62 66 70
(((loop(\(x,i).(((x - 1) * x) div (i + 1)),2,((x + 2) + 1)) + x) + 2) + 2)
A177206: 6 15 36 77 148 261 430 671 1002 1443 2016 2745 3656 4777 6138 7771
(((loop(\(x,i).(x * 2),(x - 1),((((2 + 2) + 1) * x) - 1)) * x) div 2) div 2)
A084899: 0 1 9 42 152 480 1392 3808 9984 25344 62720 152064 362496 851968 1978368 4546560
((loop(\(x,i).((((x * x) div (2 + 1)) + (x * 2)) + 1),(x + 1),x) div 2) div 2)
A339305: 0 2 64 97920
(((((x * x) * x) * (x * x)) * (x * x)) div loop(\(x,i).((x + 1) * x),2,2))
A030180: 0 0 3 52 390 1860 6665 19608 49932 113880 238095 463980 853138 1494012 2509845 4068080
(if x <= 0 then 0 else ((((((x - (x div (2 + 1))) mod (2 + 1)) div 2) + x) div 2) + 2))
A073425: 0 2 3 4 4 4 5 6 6 6 7 8 8 8 9 9
(((((((if (x - (2 + 2)) <= 0 then 1 else 2) + 1) mod (x + 1)) + 2) + x) + 2) + 2)
A085267: 6 7 10 11 12 14 15 16 17 18 19 20 21 22 23 24
(loop(\(x,i).((x - ((x div (((x div 2) div (2 + 1)) + 2)) mod 2)) + 2),x,2) + 2)
A226746: 4 5 6 8 10 12 13 14 15 16 17 18 20 21 22 24
(if x <= 0 then 1 else (((((x mod ((x div ((0 - 2) - 2)) - 2)) mod 2) + x) div 2) + 2))
A100922: 1 2 3 3 4 5 5 6 6 7 7 7 8 9 9 10
((loop(\(x,i).(1 - (((x * 2) - (x mod ((2 + 2) * 2))) * 2)),2,x) div 2) - 2)
A158938: ~3 7 9 11 13 23 25 27 61 71 73 75 77 87 89 91
((if x <= 0 then 1 else (((x div (((2 + 2) * 2) - (x div (2 + 2)))) + x) * 2)) + 2)
A242932: 3 4 6 8 10 12 14 18 20 22 24 26 30 32 34 38
((((if (x - 2) <= 0 then x else (2 - ((((x div 2) mod 2) - x) div 2))) + x) + 2) + 2)
A090334: 4 6 8 10 12 14 15 16 18 20 21 22 24 26 27 28
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else ((2 + 1) * 2)) * (x + 2)) - 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A055646: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 100
((if x <= 0 then 0 else 1) - ((((x * x) mod (x - ((2 - x) div 2))) div (x + 2)) * 2))
A011629: 0 1 1 1 1 1 1 ~1 1 1 1 1 1 ~1 ~1 1
((loop(\(x,i).(x - (x div ((i mod (0 - 2)) - 1))),x,1) + 1) mod ((x + 2) + 2))
A254271: 2 3 5 0 5 1 7
(((x - (if ((x div (2 + 2)) - 2) <= 0 then 2 else 1)) div (2 + 1)) + ((x + 2) * 2))
A184655: 3 5 8 10 12 15 17 19 22 24 26 29 31 34 36 38
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) + ((x + 2) * 2))
A229439: 4 7 13 25 47 84 142 228 350 517 739 1027 1393 1850 2412 3094
(((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + x) + ((x + 2) * 2))
A302338: 4 8 10 16 16 20 22 32 28 32 34 40 40 44 46 64
loop(\(x,i).((x * 2) - ((((2 + 1) * 2) * (2 + 1)) div (x + 1))),(x * 2),2)
A208428: 2 14 54 216 864 3456 13824 55296 221184 884736 3538944 14155776 56623104 226492416 905969664 3623878656
(((((x * 2) - 1) div ((2 + 2) + 1)) + x) + ((if x <= 0 then 1 else (x * 2)) * 2))
A313877: 1 5 10 16 21 26 32 37 43 48 53 59 64 70 75 80
(if x <= 0 then 1 else ((((x - (x div (((2 + 1) * 2) + 1))) div 2) + (x * 2)) * 2))
A310411: 1 4 10 14 20 24 30 34 38 44 48 54 58 64 68 72
(if x <= 0 then 1 else ((((x - (x div (((2 + 2) * 2) + 1))) div 2) + (x * 2)) * 2))
A310412: 1 4 10 14 20 24 30 34 40 44 48 54 58 64 68 74
(if x <= 0 then 1 else ((((x - (x div ((2 + 2) * (2 + 1)))) div 2) + (x * 2)) * 2))
A310413: 1 4 10 14 20 24 30 34 40 44 50 54 58 64 68 74
loop(\(x,i).(((((x * x) div 2) * ((2 + 2) + 1)) * (x + 1)) div 2),(x * 2),2)
A067668: 2 4480 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((x - (x div ((2 + 2) * (0 - 2)))) div 2) + (x * 2)) * 2))
A315308: 1 6 10 16 20 26 30 36 40 46 52 56 62 66 72 76
(if x <= 0 then 1 else ((((((x - (x div (2 + 2))) + 1) div 2) div 2) + (x * 2)) * 2))
A312472: 1 4 8 14 18 22 26 30 34 40 44 48 52 56 62 66
(if x <= 0 then 1 else ((((x - (x div (1 - ((2 + 2) * 2)))) div 2) + (x * 2)) * 2))
A315309: 1 6 10 16 20 26 30 36 42 46 52 56 62 66 72 78
(if x <= 0 then 1 else ((((((x div 2) mod (2 + 2)) + x) div (2 + 2)) + (x * 2)) * 2))
A312506: 1 4 8 14 18 22 28 32 36 40 44 50 54 58 64 68
(if x <= 0 then 1 else ((2 - (2 div ((x div ((2 + 2) + 1)) + 1))) + ((x * 2) * 2)))
A311253: 1 4 8 12 16 21 25 29 33 37 42 46 50 54 58 62
(if x <= 0 then 1 else (((x * 2) div (((2 - (x mod 2)) + 2) + 1)) + ((x * 2) * 2)))
A058759: 1 4 8 13
A311933: 1 4 8 13 17 22 26 31 35 40 44 49 52 58 61 67
((if x <= 0 then 1 else ((((x + 1) div (2 + 1)) * 2) div (2 + 1))) + ((x * 2) * 2))
A311258: 1 4 8 12 16 21 25 29 34 38 42 46 50 54 59 63
((if x <= 0 then 1 else (x - ((((x div 2) + 1) * x) mod (2 + 1)))) + ((x * 2) * 2))
A313249: 1 4 9 15 20 25 30 34 39 45 50 55 60 64 69 75
(if x <= 0 then 1 else ((2 div ((((2 + 2) * 2) * 2) div (x + 1))) + ((x * 2) * 2)))
A311257: 1 4 8 12 16 21 25 29 34 38 42 46 50 54 58 62
(((x - (x div (((2 + 2) * 2) + 1))) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312932: 1 4 9 13 18 22 27 31 36 40 44 49 53 58 62 67
(((((x - (x div (2 + 2))) + 1) div 2) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A058759: 1 4 8 13
A311804: 1 4 8 13 17 21 25 29 33 38 42 46 50 54 59 63
(((((2 - (x div 2)) mod (x + 1)) div 2) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311188: 1 4 8 12 16 20 25 29 33 38 42 46 50 54 58 62
((x div ((((x div (2 + 2)) mod 2) + 2) * 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311191: 1 4 8 12 16 20 25 29 34 38 42 46 50 54 58 62
((x div ((((x div 2) mod (2 + 2)) + 2) + 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311160-A311159: 1 4 8 12 16 20 24 29 34 38 42 46 50 54 58 62
(((x - (x div (1 - ((2 + 2) * 2)))) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314838: 1 5 9 14 18 23 27 32 37 41 46 50 55 59 64 69
(((((2 - (x div 2)) mod (x + 2)) div 2) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311197: 1 4 8 12 16 20 25 30 34 38 42 46 50 54 58 63
(((((x div 2) mod (2 + 2)) + x) div (2 + 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A058759: 1 4 8 13
A311843: 1 4 8 13 17 21 26 30 34 38 42 47 51 55 60 64
((((((x div 2) div (2 + 1)) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312933: 1 4 9 13 18 22 27 32 36 41 45 50 54 58 63 67
(x - (((((x div (2 + 2)) mod 2) - x) div 2) - (if x <= 0 then 1 else ((x * 2) * 2))))
A315520: 1 6 11 17 22 27 33 38 44 50 55 61 66 71 77 82
(((x div (((x div (2 + 2)) + 2) + 2)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313746: 1 5 10 15 20 26 31 36 41 46 51 56 61 66 72 77
((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else (x div (2 + 2))) + ((x * 2) * 2))
A314669: 1 5 9 13 17 21 25 29 33 37 41 46 51 55 59 63
(x - (1 - (if x <= 0 then 2 else (((x + 1) mod ((x mod 2) + 2)) + ((x * 2) * 2)))))
A315257: 1 6 10 15 20 24 30 36 40 45 50 54 60 66 70 75
((((((if (x mod 2) <= 0 then (2 + 2) else 0) + 2) * 2) * (x + 1)) + (x div 2)) - 2)
A234974: 10 6 35 15
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x div 2),(x div 2)) div 2)
A116400: 0 0 1 1 5 5 21 21 84 84 330 330 1287 1287 5005 5005
(((((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) + 1) * 2) + 1) - ((x div 2) mod 2))
A135537: 7 5 2 4 7 5 2 4 7 5 2 4 7 5 2 4
((((if (x mod (2 + 1)) <= 0 then (2 - ((x div 2) mod 2)) else 0) + 1) * (x mod 2)) + 2)
A066482: 2 3 2 4 2 3 2 3 2 5 2 3 2 3 2 4
((x + 1) div (((if ((x mod ((2 + 2) + 1)) - 1) <= 0 then 1 else 2) + (x mod 2)) + 2))
A333708: 0 0 0 0 1 1 2 1 2 2 3 3 3 2 3 4
((((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 1) + (x div (2 + 2))) - (x mod 2)) div 2)
A008682: 1 0 0 0 1 1 1 0 1 1 2 1 2 1 2 2
(((x div ((2 + 2) + 1)) + 1) div (if (x mod (2 + 1)) <= 0 then (2 - (x mod 2)) else 2))
A173636: 0 0 0 1 0 1 1 1 1 2 1 1 1 1 1 4
(if ((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) <= 0 then 1 else ((2 - (x mod 2)) + 2))
A295295: 1 1 1 3 1 1 1 3 4 1 1 3 1 1 1 3
(loop(\(x,i).(((2 + 2) * (x + 1)) + (x div (2 + 2))),x,0) mod ((x mod 2) + 2))
A236470: 0 1 1 0 1 1 0 1 0 0 1 1 0 2 1 2
(if (2 - ((x + 1) mod (((x mod (2 + 1)) * 2) + 1))) <= 0 then 1 else ((x mod 2) + 2))
A214717: 2 1 1 3 1 3 2 1 1 3 1 1 2 1 2 3
(2 - ((if (((2 + 2) * 2) mod ((x div 2) + 1)) <= 0 then 1 else 2) mod ((x mod 2) + 2)))
A114708: 1 1 1 1 2 0 1 1 2 0 2 0 2 0 1 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((x mod 2) + 2))
A107621: 4 9 10 21 22 39 34 57 46 87 62 111 82 129 94 159
((if (((x * x) + 1) mod ((x + 2) + 2)) <= 0 then 2 else 1) + (x div ((x mod 2) + 2)))
A211316: 1 1 2 2 3 2 4 3 5 4 6 4 7 6 8 6
((if (x mod (2 + 1)) <= 0 then 1 else (0 - (x mod (2 + 1)))) * (1 - ((x mod 2) * 2)))
A132419: 1 1 ~2 ~1 ~1 2 1 1 ~2 ~1 ~1 2 1 1 ~2 ~1
(loop(\(x,i).((((x div (2 + 2)) + 2) - (x div ((i * 2) + 1))) + x),x,2) div 2)
A123015: 1 2 3 4 6 8 10 13 17 21 26 33 41 50 62 77
loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + ((x + 1) mod (2 + 1))) + 1),x,2)
A037637: 2 19 174 1568 14113 127020 1143182 10288639 92597754 833379788 7500418093 67503762840 607533865562 5467804790059 49210243110534 442892187994808
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + ((i + 1) mod (2 + 1))) + 1),x,2)
A037645: 2 23 231 2312 23123 231231 2312312 23123123 231231231 2312312312 23123123123 231231231231 2312312312312 23123123123123 231231231231231 2312312312312312
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) + ((i + 1) mod (2 + 1))) + 1),x,2)
A037642: 2 17 120 842 5897 41280 288962 2022737 14159160 99114122 693798857 4856592000 33996144002 237973008017 1665811056120 11660677392842
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + ((1 - i) mod (2 + 1))) + 1),x,2)
A037638: 2 21 213 2132 21321 213213 2132132 21321321 213213213 2132132132 21321321321 213213213213 2132132132132 21321321321321 213213213213213 2132132132132132
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x + 1),1) - x) - 2)
A048775: 1 7 31 121 456 1709 6427 24301 92368 352705 1352066 5200287 20058286 77558745 300540179 1166803093
((loop(\(x,i).(((((x div (2 + 2)) mod 2) * 2) + x) + 1),(x - 1),1) + x) * 2)
A047836: 2 4 8 12 16 24 32 36 40 48 56 60 64 72 80 84
((((loop(\(x,i).((((i div 2) + x) * i) + x),(x - 1),1) div 2) + 1) + x) * 2)
A081473: 2 4 8 16 44 194
(((((loop(\(x,i).(x - ((i * i) div (0 - 2))),x,1) div 2) div 2) + 1) + x) div 2)
A175848: 0 1 2 3 4 6 9 13 17 23 30 38 47 58 71 86
(((if (2 - x) <= 0 then (((x div 2) + 2) - ((x div (2 + 2)) mod 2)) else 1) + x) + 2)
A086986: 3 4 7 8 9 10 12 13 16 17 19 20 21 22 24 25
((((x + 2) div ((if (2 - x) <= 0 then 2 else 1) + 2)) + (((2 + 2) + 1) * x)) + 2)
A184519: 2 8 13 18 23 28 34 39 44 49 55 60 65 70 76 81
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) + 1) * x) + 2))
A016878: 64 117649 2985984 24137569 113379904 387420489 1073741824 2565726409 5489031744 10779215329 19770609664 34296447249 56800235584 90458382169 139314069504 208422380089
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + ((((2 + 2) + 1) * x) * 2))
A213223: 1 20 120 1030 10040 100050 1000060 10000070 100000080 1000000090 10000000100 100000000110 1000000000120 10000000000130 100000000000140 1000000000000150
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - ((((2 + 2) + 1) * x) * 2))
A198400: 1 0 80 970 9960 99950 999940 9999930 99999920 999999910 9999999900 99999999890 999999999880 9999999999870 99999999999860 999999999999850
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) + 1) * x) * 2))
A017274: 0 1000000 64000000 729000000 4096000000 15625000000 46656000000 117649000000 262144000000 531441000000 1000000000000 1771561000000 2985984000000 4826809000000 7529536000000 11390625000000
((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + ((((2 + 2) + 1) * x) * 2))
A108685: 0 10 21 30 42 51 63 70 84 92 105 111 126 133 147 150
(((((if (x - 2) <= 0 then 1 else ((x * x) * 2)) * (x + 1)) div (2 + 1)) + x) + 2)
A331399: 2 3 5 29 59
((((((x - (if ((x div 2) - 2) <= 0 then 1 else 2)) div 2) * 2) div (2 + 1)) + x) + 2)
A298606: 1 3 4 5 6 8 9 10 12 13 14 15 17 18 20 21
(((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x + 2)) div (2 + 1)) - x) - 2)
A223718: 3 9 22 46 86 148 239 367 541 771 1068 1444 1912 2486 3181 4013
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((2 + 1) * x) + 2))
A016795: 128 78125 2097152 19487171 105413504 410338673 1280000000 3404825447 8031810176 17249876309 34359738368 64339296875 114415582592 194754273881 319277809664 506623120463
loop(\(x,i).((((2 + 2) * 2) * (x + 1)) * (2 + 1)),2,(((2 + 1) * x) + 2))
A157325: 1752 3480 5208 6936 8664 10392 12120 13848 15576 17304 19032 20760 22488 24216 25944 27672
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 2))
A051960: 2 5 16 55 196 714 2640 9867 37180 140998 537472 2057510 7904456 30458900 117675360 455657715
(if x <= 0 then 1 else (((x * 2) * 2) - ((2 - (x * x)) div (((2 + 1) * x) + 2))))
A312902: 1 4 9 13 17 22 26 31 35 39 44 48 52 57 61 65
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,((2 + 1) * x)) div 2)
A088110: 0 1 3 9
A000245: 0 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825
((((if (x mod ((((x mod 2) + 2) * 2) + 1)) <= 0 then 1 else x) * (2 + 1)) + x) div 2)
A241071: 1 2 4 6 8 10 12
A345444: 1 2 4 6 8 10 12 5 16 18 6 22 24 26 28 30
((loop(\(x,i).((((x + 2) * 2) div (2 + 1)) + ((2 + 2) + 1)),x,1) + x) div 2)
A225668: 0 4 6 8 9 10 11 12 12 13 13 14 14 15 15 16
loop(\(x,i).((((((x - 2) * 2) div ((x div (2 + 2)) + 2)) mod 2) + x) + 1),x,2)
A080637: 2 3 5 6 7 9 11 12 13 14 15 17 19 21 23 24
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) * (x + 1)) + x) * 2))
A017369: 32768 1889568 17210368 79235168 254803968 656356768 1453933568 2887174368 5277319168 9039207968 14693280768 22877577568 34359738368 50049003168 71008211968 98465804768
(((loop(\(x,i).((x + 2) * 2),(x + 1),2) * (2 + 1)) + ((x + 1) * x)) + 2)
A250605: 26 64 140 290 586 1172 2336 4654 9278 18512 36964 73850 147602 295084 590024 1179878
(loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),x,1) - (((x + 1) * x) div 2))
A129937: 1 1 0 0 0 5 14 42 90 207 407 858 1638 3341 6330 12750
((loop(\(x,i).i,(x - (((2 + 2) + 1) * 2)),1) + x) + (((x + 1) * x) div 2))
A025724: 1 3 6 10 15 21 28 36 45 55 66 78 92 107 123 140
(((x * 2) * 2) - (((((x div 2) div (2 + 1)) mod 2) - (if x <= 0 then 1 else x)) div 2))
A314836: 1 5 9 14 18 23 27 31 36 40 45 49 54 59 63 68
(((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) * (2 - ((if x <= 0 then 1 else x) mod 2)))
A040813: 29 29 58 29 58 29 58 29 58 29 58 29 58 29 58 29
((((((((2 + 2) + 1) * x) + 2) * 2) * 2) + x) + ((if x <= 0 then 1 else x) mod 2))
A063150: 9 30 50 72 92 114 134 156 176 198 218 240 260 282 302 324
(((loop(\(x,i).(((x - ((1 - x) mod (2 + 1))) div 2) + 2),x,x) + 1) + x) div 2)
A079243: 0 2 2 3
A139327: 0 2 2 3 4 4 5 5 6 7 7 8 8 8 9 10
(loop(\(x,i).((((((2 + 1) * x) * (2 + 1)) + 2) * (2 + 1)) + 1),2,x) + 2)
A156771: 198 927 1656 2385 3114 3843 4572 5301 6030 6759 7488 8217 8946 9675 10404 11133
(((if (x - (2 + 1)) <= 0 then 2 else ((x - (((x div 2) mod 2) - 1)) div 2)) + x) * 2)
A051756: 4 6 8 10 12 16 18 20
A068354: 4 6 8 10 12 16 18 20 24 28 30 32 36 40 42 44
(if x <= 0 then 1 else (((((x - ((x div 2) mod ((2 + 1) * 2))) div 2) div 2) + x) * 2))
A241071: 1 2 4 6 8 10 12
A076450: 1 2 4 6 8 10 12 16 18 20 22 24 30 32 34 36
loop(\(x,i).((x - (((x - ((x - i) mod ((2 + 1) * 2))) div 2) mod 2)) + 2),x,2)
A285143: 2 4 5 6 8 10 11 12 14 16 18 20 21 22 24 26
((((x - ((if (x - 2) <= 0 then 2 else (((x + 1) div 2) div 2)) div 2)) div 2) + x) + 2)
A276214: 1 3 4 6 8 9 11 12 13 15 16 18 19 21 22 23
(loop(\(x,i).(((x + 2) div ((x mod ((x div (2 + 2)) + 2)) + 2)) + 2),2,x) div 2)
A078380: 1 1 2 1 2 1 3 1 2 1 1 2 1 1 2 2
(if x <= 0 then 1 else (((((x - (x div (1 - ((2 + 2) * 2)))) div 2) * 2) + x) * 2))
A315886: 1 6 8 14 16 22 24 30 36 38 44 46 52 54 60 66
loop(\(x,i).(x - (((x + 1) div ((2 + 2) + 1)) - (x mod ((2 + 2) * 2)))),x,2)
A163522: 2 4 7 13 16 13 16 13 16 13 16 13 16 13 16 13
(2 - (if x <= 0 then 2 else (x - ((((((x div 2) + x) div (2 + 2)) mod 2) + x) div 2))))
A332251: 0 1 1 1 0 0 ~1 ~2 ~2 ~2 ~3 ~4 ~4 ~5 ~5 ~5
((((((if ((x div 2) - 2) <= 0 then 1 else (x - 2)) + (x div 2)) div 2) div 2) + x) + 2)
A234853: 2 3 4 5 6 7 9 11 12 13 15 16 18 19 20 22
(((((loop(\(x,i).(x - ((i - x) * 2)),x,x) div (2 + 1)) + x) div 2) + x) div 2)
A293492: 0 0 2 6 20 75 278
(((((if (x - 2) <= 0 then 1 else (2 - (((x div 2) - 1) div 2))) + x) div 2) + x) + 2)
A185550: 2 4 5 7 9 10 11 13 14 16 17 18 20 21 22 24
(((if x <= 0 then 1 else (x - ((((x mod ((x div 2) + 2)) div 2) - x) div 2))) + x) + 2)
A184741: 3 5 7 10 12 15 17 19 22 24 27 29 31 34 36 38
(compr(\x.((x + 1) mod (loop(\(x,i).((1 - x) * 2),x,(2 + 1)) mod (x + 2))),x) + 2)
A328232-A318589-A316857-A189710-A132630: 2 3 5 7 9 11 13 17 19 23 29 31 37 41 43 47
(compr(\x.(1 - (loop(\(x,i).(((i div (2 + 1)) + 1) * x),x,1) mod (x + 2))),x) + 2)
A001751: 2 3 4 5 6 7 10 11 13 14 17 19 22 23 26 29
(compr(\x.((loop(\(x,i).((2 - x) * 2),(x div 2),2) - (x mod 2)) mod (x + 2)),x) div 2)
A235623: 0 1 4 7 8 9 13 19 20 21
(loop(\(x,i).(((((2 + 2) * 2) * (x + 1)) + x) * 2),2,((x + 2) * x)) + 2)
A158589: 306 1278 2898 5166 8082 11646 15858 20718 26226 32382 39186 46638 54738 63486 72882 82926
loop(\(x,i).(((2 + 2) * (x - 1)) * ((2 + 2) + 1)),2,(((x + 2) * x) + 2))
A158597: 380 1580 3580 6380 9980 14380 19580 25580 32380 39980 48380 57580 67580 78380 89980 102380
(x - (((if (x - (2 + 2)) <= 0 then (((2 + 2) * 2) + 1) else (x * 2)) + x) + 2))
A291498: ~11 ~11 ~11 ~11 ~11 ~12 ~14 ~16 ~18 ~20 ~22 ~24 ~26 ~28 ~30 ~32
((loop(\(x,i).((((((x - 1) div 2) div 2) * x) div 2) + 2),2,(x * 2)) + x) div 2)
A341824: 1 1 2 3 4 9 14 33
(loop(\(x,i).(((((x div 2) * 2) div (2 + 1)) + 1) * (2 + 1)),(x div 2),x) + 2)
A092749: 2 3 5 5 11 11 11 11 11 11 17 17 17 17 17 17
loop(\(x,i).((((x * 2) * (2 + 1)) + ((x + 1) mod (2 + 1))) + (x mod 2)),x,2)
A037718: 2 12 73 441 2648 15888 95329 571977 3431864 20591184 123547105 741282633 4447695800 26686174800 160117048801 960702292809
loop(\(x,i).((((((2 + 2) + 1) * x) + 2) - (x mod (2 + 1))) + (x mod 2)),x,2)
A037717: 2 10 51 258 1292 6460 32301 161508 807542 4037710 20188551 100942758 504713792 2523568960 12617844801 63089224008
((((loop(\(x,i).(i + x),((x * x) * (x * x)),1) + (x * x)) div 2) + x) div 2)
A240129: 0 1 36
A054622: 0 1 36 834 8230 48915 210126 720916 2097684 5381685 12501280 26796726 53750346 101969959 184478490 320367720
((((((x * x) * x) * (x * x)) + 1) * loop(\(x,i).((x * x) * x),2,x)) div 2)
A170787: 0 1 8448 2401326 134348800 3052734375 39187120896 339131713228 2199090364416 11438589937725 50000500000000 189876095765466 641961812164608 1968693495099331 5556013743302400 14596482234375000
((((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) * ((2 + 2) + 1)) - 1) mod (x + 2))
A279406: 0 1 0 4 4 4 4 0 9 9 9 9 9 9 9 9
loop(\(x,i).((x div ((2 + 2) * 2)) + x),((x div ((2 + 2) + 1)) - 1),(x + 2))
A059389: 2 3 4 5 6 7 8 9 10 11 13 14 15 16 18 21
(((if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then (x * 2) else 1) - 1) mod (x + 2))
A241663: 1 0 0 0 1 0 3 0 0 0 7 0 9 0 0 0
(if ((x - (((x + 2) * 2) div (((2 + 1) * 2) + 1))) mod 2) <= 0 then 1 else (x + 2))
A089029: 1 3 4 1 6 7 1 9 1 1 12 1 1 15 1 17
(((loop(\(x,i).(x - (((1 - x) div (2 + 1)) - 1)),x,1) * 2) + 1) div (x + 2))
A017980: 1 1 2 2 3 3 4 5 6 8 10 13 16 20 25 32
((((((if x <= 0 then 1 else (x + 2)) + 2) * (x + 1)) * (x + 1)) + 2) * (x + 2))
A269679: 10 66 224 570 1212 2282 3936 6354 9740 14322 20352 28106 37884 50010 64832 82722
((((x - (if (x - ((2 + 1) * 2)) <= 0 then 0 else 2)) * (x div 2)) + 2) div (x + 2))
A029168: 1 0 1 1 1 1 2 1 2 2 3 3 4 4 5 5
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) mod ((x + 2) * (x + 2)))
A065350: 2 6 4 20 0 42 40 72 20 110 120 156 56 0 208 272
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((x + 2) * (x + 2)))
A119574: 4 9 32 125 504 2058 8448 34749 143000 588302 2418624 9934834 40770352 167152500 684656640 2801810205
(compr(\x.((loop(\(x,i).(((x + 2) + 1) * 2),x,1) mod (x + 1)) - 1),x) + (x + 2))
A048171: 2 4 6 9 12 17 20 25 28 31 34
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),x) * (x + 2))
A119581: 0 3 24 150 840 4410 22176 108108 514800 2406690 11085360 50438388 227149104 1014058500 4493059200 19777483800
(loop(\(x,i).(((((x div ((2 + 2) + 1)) mod 2) + x) div 2) + 2),2,x) + (x + 2))
A037361: 5 6 7 8 10 12 13 14 15 17 18 19 20 21 23 24
((loop(\(x,i).(((x - 1) * x) div (i + 1)),2,((x + 2) + 2)) * x) div (x + 2))
A052472: 0 10 35 84 168 300 495 770 1144 1638 2275 3080 4080 5304 6783 8550
((if (2 - x) <= 0 then (((x + 1) * 2) div (((2 + 1) * 2) + 1)) else 1) + (x * 2))
A111499: 1 3 4 7 9 11 14 16 18 20 23 25 27 30 32 34
((if x <= 0 then 1 else ((x * x) div ((((2 + 1) * 2) * (2 + 1)) + 1))) + (x * 2))
A081527: 1 2 4 6 8 11 13 16 19 22 25 28 31 34 38 41
(if x <= 0 then 1 else ((((x * x) * 2) div (((2 + 2) * (2 + 1)) + 1)) + (x * 2)))
A126022: 1 2 4 7 10 13 17 21 25 30 35 40 46 52 58 64
(if x <= 0 then 1 else ((((x * x) + 2) div (((2 + 2) * (2 + 1)) - 1)) + (x * 2)))
A134886: 1 2 4 7 9 12 15 18 22 25 29 33 37 41 46 50
((if ((x + 1) mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 2 else 1) + (x * 2))
A284879: 1 3 6 7 9 12 13 16 17 19 21 24 25 27 30 31
(loop(\(x,i).(x * 2),((((x div 2) div (2 + 1)) * (2 + 1)) - 2),1) + (x * 2))
A033038: 1 3 5 7 9 11 14 16 18 20 22 24 40 42 44 46
(((loop(\(x,i).((x + 2) * 2),x,((x + 2) * (2 + 1))) div 2) - 1) - (x * 2))
A066374: 2 8 25 67 165 387 881 1967 4333 9451 20457 44007 94181 200675 425953 901087
(loop(\(x,i).(((((i * 2) - 1) * 2) * 2) - 1),((x - 1) div 2),1) + (x * 2))
A231716: 1 3 5 9 11 21 23 33 35 45 47 57 59 69 71 81
((if (x mod (((1 - x) mod ((x div (2 + 2)) + 2)) + 2)) <= 0 then 2 else 1) + (x * 2))
A285257: 2 3 5 7 10 11 14 15 17 19 22 23 26 27 29 32
((if x <= 0 then 1 else ((((x + 2) * (x + 1)) - 1) div ((2 + 2) + 1))) + (x * 2))
A129403: 1 3 6 9 13 18 23 28 33 39 46 53
(((loop(\(x,i).(x * 2),x,((2 + 2) + 1)) + 2) * ((2 + 2) + 1)) + (x * 2))
A250764: 35 62 114 216 418 820 1622 3224 6426 12828 25630 51232 102434 204836 409638 819240
((if (x div 2) <= 0 then 1 else ((((x - 1) * x) div 2) - ((2 + 2) + 1))) + (x * 2))
A074171: 1 3 0 4 9 15 22 30 39 49 60 72 85 99 114 130
((if (((x * 2) mod (((2 + 1) * 2) + 1)) - (x mod 2)) <= 0 then 2 else 1) + (x * 2))
A287374: 2 3 5 7 9 11 13 16 17 19 21 24 25 27 30 31
((if x <= 0 then 1 else ((((x * x) - 1) div ((2 + 2) + 1)) mod (2 + 1))) + (x * 2))
A333975: 1 2 4 7 8 11 13 14 16 19 21 22 25 26 28 32
((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x - 1)) div (2 + 1)) + (x * 2))
A083462: 1 3 6 11
A055417: 1 3 6 11 20 36 63 106 171 265 396 573 806 1106 1485 1956
((x + 1) - loop(\(x,i).((x div ((x mod (2 + 1)) + 2)) + 2),(2 + 1),(x * 2)))
A063278: ~1 0 0 1 2 3 4 5 6 7 8 7 10 11 12 11
((((x + 1) div (((2 - x) mod (2 + 2)) + 1)) mod 2) + (if x <= 0 then 1 else (x * 2)))
A189401: 1 3 5 7 9 11 13 14 17 19 21 23 24 27 29 30
((if ((x + 1) mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 1 else 2) + (x * 2))
A284880: 2 4 5 8 10 11 14 15 18 20 22 23 26 28 29 32
((if (x mod (((1 - x) mod ((x div (2 + 2)) + 2)) + 2)) <= 0 then 1 else 2) + (x * 2))
A231407: 1 4 6
A285256: 1 4 6 8 9 12 13 16 18 20 21 24 25 28 30 31
(if x <= 0 then 1 else (((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) + (x * 2)))
A075311: 1 3 5 6 9 10 12 15 17 18 20 23 24 27 29 30
((loop(\(x,i).((((x div 2) + x) div 2) + x),2,((x div 2) + 2)) div 2) + (x * 2))
A283967: 2 4 8 10 14 16 19 21 24 26 30 32 36 38 41 43
((if x <= 0 then 1 else (x - ((((x - 2) * x) div 2) div ((x + 2) + 2)))) + (x * 2))
A231407: 1 4 6
A007074: 1 4 6 9 12 15 17 20 22 25 28 30 33 35 38 40
(loop(\(x,i).(x - (((x + 1) div ((2 + 2) + 1)) - 1)),2,(x * 2)) + (x * 2))
A189400: 2 6 8 12 16 18 22 25 28 32 35 38 41 45 48 51
loop(\(x,i).((x div 2) - (1 - ((x div 2) mod ((x mod (2 + 2)) + 1)))),x,(x * 2))
A165586-A011611: 0 1 ~1 ~1 1 1 1 1 ~1 1 ~1 1 ~1 1 ~1 ~1
((if x <= 0 then 2 else (((x mod ((x mod ((2 + 2) + 1)) + 2)) mod 2) + x)) + (x * 2))
A309374: 2 4 6 10 12
A082417: 2 4 6 10 12 16 18 22 25 28 30 33 36 40 42 46
((if (x mod 2) <= 0 then (((((2 + 2) * 2) * 2) + 1) * (2 + 1)) else 1) + (x div 2))
A087408: 51 1 52 2 53 3 54 4 55 5 56 6 57 7 58 8
((((((if (x mod 2) <= 0 then 2 else x) * x) div ((2 + 2) * 2)) * 2) + 1) + (x div 2))
A276163: 1 1 2 4 5 9 6 16 9 25
((1 - (x div (((if ((x + 1) mod (2 + 1)) <= 0 then x else 2) * 2) + 1))) + (x div 2))
A167227: 1 1 2 2 3 3 3 3 5 4 4 6 5 5 8 5
((loop(\(x,i).(((x - 1) * x) div 2),2,((x - 1) div 2)) div (2 + 1)) * (x div 2))
A333320: 0 0 0 0 0 0 0 3 4 20 25 75 90 210 245 490
((if (x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2) + (x div 2))
A239105-A046699: 1 1 2 2 3 4 4 4 5 6 6 7 8 8 8 8
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) mod 2) + (x * 2)) + (x div 2))
A003255: 1 3 5 7 11 13 16 18 20 22 26 28 30 32 36 38
(((((((if (x - 2) <= 0 then 1 else x) mod 2) + x) div (2 + 1)) + 1) + x) + (x div 2))
A187476: 1 2 5 6 8 10 12 13 15 17 19 21 23 24 26 28
((if (((x mod (2 + 1)) * x) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0) - (x mod 2))
A112211: 1 ~1 0 0 0 ~1 1 0 0 0 0 ~1 1 ~1 1 0
((if (x mod ((((x - 2) * x) mod ((x + 2) + 2)) + 2)) <= 0 then 1 else 0) + (x mod 2))
A338822: 1 1 1 1 1 1 1 1 1 1 0 2 0 1 0 1
((if ((x mod (2 + 1)) - ((((x + 1) div 2) div 2) mod 2)) <= 0 then 0 else 1) - (x mod 2))
A074290: 0 0 1 ~1 0 0 0 0 1 ~1 1 0 0 ~1 1 ~1
((((x - 1) div (((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)) + 1) * (x mod 2))
A035442: 0 1 0 1 0 1 0 2 0 3 0 3 0 3 0 5
((if (((((x div 2) + x) div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) - (x mod 2))
A275851: 1 0 1 0 1 0 2 0 1 0 1 0 2 1 1 0
((((x div ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2))) - x) mod (2 + 1)) + (x mod 2))
A147648: 0 1 0 2 0 1 0 2 0 1 0 2 0 1 0 3
((if (((x + 1) mod (2 + 1)) - (x mod 2)) <= 0 then 1 else (x div (2 + 1))) + (x mod 2))
A086421: 0 1 1 2 1 2 2 3 1 2 3 2
((loop(\(x,i).(((x * 2) - (x mod (2 + 2))) * 2),2,(x div 2)) + 1) + (x mod 2))
A098871: 1 2 5 6 17 18 21 22 65 66 69 70 81 82 85 86
(x div (((if (x mod (((2 + 1) * 2) + 1)) <= 0 then (x div 2) else 0) + 2) - (x mod 2)))
A106615: 0 1 1 3 2 5 3 1 4 9 5 11 6 13 1 15
((if ((x + 2) mod (((x * 2) div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 2) - (x mod 2))
A107455: 1 0 1 1 1 1 2 0 2 1 2 1 2 1 2 1
((2 - (((x - 2) mod ((if x <= 0 then 2 else (x div (2 + 1))) + 1)) mod 2)) - (x mod 2))
A287341: 1 1 2 0 2 0 1 1 2 0 2 0 2 0 2 0
((if (x mod (((x - (x div (2 + 1))) div (2 + 1)) + 2)) <= 0 then 1 else 2) + (x mod 2))
A106824: 1 3 1 3 2 3 1 3 1 3 2 3 1 3 2 2
((if x <= 0 then 1 else ((((x * x) + 2) div (((2 + 2) * 2) + 1)) + 2)) - (x mod 2))
A029009: 1 1 2 2 4 4 6 6 9 10 13 14 18 20 24 26
((x div ((x div (((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) + 1)) + 2)) + (x mod 2))
A076649: 0 1 1 2 1 2 1 3 2 2 2 3 2 2 2 4
((((loop(\(x,i).(x * 2),x,2) div ((2 + 2) + 1)) * (2 + 1)) + 2) - (x mod 2))
A226309: 2 1 5 10 20 37 77 154 308 613 1229 2458 4916 9829 19661 39322
((x - (if x <= 0 then 0 else (1 - ((x - ((x div (2 + 1)) * 2)) * 2)))) + (x mod 2))
A063202: 0 3 5 5 7 11 9 13 15 15 17 21 19 23 25 25
((((1 - x) div ((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 2)) mod 2) - (x mod 2))
A129950: 0 ~1 1 0 1 0 1 0 0 0 1 0 1 0 0 0
(loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) + 1),x,0) div (2 - (x mod 2)))
A152436: 0 1 7 183 1190 30941 201117 5229043 33988780 883708281 5744103827 149346699503 970753546770 25239592216021 164057349404137 4265491084507563
(loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * x) + 1),x,0) div (2 - (x mod 2)))
A152437: 0 1 9 307 2610 88741 754299 25646167 217992420 7411742281 62999809389 2141993519227 18206944913430 619036127056621 5261807079981279 178901440719363487
((if (((x + 2) + 1) mod (((2 + 2) * 2) + 1)) <= 0 then 2 else 1) * (2 - (x mod 2)))
A214716: 2 1 2 1 2 1 4 1 2 1 2 1 2 1 2 2
(((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1) * x) * (2 - (x mod 2)))
A227109: 0 5 20 15 40 5 60 35 80 45 20 55 120 65 140 15
loop(\(x,i).((((((x div 2) + x) + 1) * 2) * (2 + 1)) - x),(x div 2),(x mod 2))
A341943: 0 1 6 11 54 91 438 731 3510 5851 28086 46811 224694 374491 1797558 2995931
(if x <= 0 then 1 else (((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x) * x) + 2))
A206399: 1 43 166 371 658 1027 1478 2011 2626 3323 4102 4963 5906 6931 8038 9227
loop(\(x,i).(((((x + 2) mod (((x - 1) mod (2 + 2)) + 2)) div 2) + 1) + x),x,2)
A130176: 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23
(if x <= 0 then 1 else ((compr(\x.(x mod (((((x mod 2) * 2) * 2) * 2) + 1)),x) + x) * 2))
A315755: 1 6 12 18 24 28 32 38 44 50 56 62 68 74 80 84
((loop(\(x,i).((((x div 2) - 1) div 2) - ((1 - x) div (2 + 1))),2,x) + x) + 2)
A180734: 1 2 3 4 5 8 9 10 11 12 14 16 17 18 20 21
((loop(\(x,i).((((((x mod 2) + x) * (2 + 2)) + x) + 1) * 2),2,x) + x) div 2)
A305395: 11 101 112 202 213 303 314 404 415 505
(x - ((loop(\(x,i).(1 - (((x * 2) * 2) * ((x - 1) div 2))),2,x) * x) div 2))
A191942: 0 1 1 398
((loop(\(x,i).(((x div 2) - ((x + 1) div ((2 + 2) + 1))) + x),2,x) + x) + 2)
A308357: 2 4 8 10 12 15 19 20 24 25
(loop(\(x,i).((((x * x) * x) * (x * x)) * ((x * x) + 1)),1,(x * x)) div 2)
A170796: 0 1 8704 2421009 134742016 3056640625 39212315136 339252774049 2199560126464 11440139619681 50005000000000 189887885503921 641990190956544 1968757122095569 5556148040106496 14596751337890625
(loop(\(x,i).(((((x * x) * (x * x)) + 1) * x) * (x * x)),1,(x * x)) div 2)
A168632: 0 1 8224 2391849 134219776 3051765625 39182105376 339111595249 2199023386624 11438396493201 50000000500000 189874917677401 641959233767424 1968688195263049 5556003416543776 14596463018390625
((((((x * x) * x) * (x * x)) + 1) * loop(\(x,i).(x * x),2,(x * x))) div 2)
A170777: 0 1 4224 800442 33587200 610546875 6531186816 48447387604 274886295552 1270954437525 5000050000000 17261463251406 53496817680384 151437961161487 396858124521600 973098815625000
((if x <= 0 then 1 else ((((x * x) * 2) * ((2 + 2) + 1)) + 2)) + ((x * x) div 2))
A007899: 1 12 44 96 170 264 380 516 674 852 1052 1272 1514 1776 2060 2364
((((loop(\(x,i).((x * x) * x),2,x) + (x * x)) * (x * x)) * (x * x)) div 2)
A168631: 0 1 4128 797526 33556480 610359375 6530370336 48444564028 274878038016 1270933179885 5000000500000 17261356957746 53496604182528 151437555709531 396857390391840 973097539875000
((loop(\(x,i).((x + 1) * x),1,(((x * x) * x) * (x * x))) * (x * x)) div 2)
A168662: 0 1 2112 266814 8396800 122109375 1088531136 6921055372 34360786944 141217159725 500005000000 1569223931946 4458068140032 11649073935499 28347008894400 64873254375000
(loop(\(x,i).((x + 1) * x),1,((((x * x) * x) * (x * x)) * (x * x))) div 2)
A168664: 0 1 8256 2392578 134225920 3051796875 39182222016 339111948196 2199024304128 11438398618965 50000005000000 189874926535206 641959250190336 1968688224223903 5556003465485760 14596463098125000
((loop(\(x,i).((((x * x) * x) + 1) * x),1,((x * x) * x)) * (x * x)) div 2)
A168471: 0 1 8208 2391606 134218240 3051759375 39182085936 339111544828 2199023271936 11438396257005 50000000050000 189874916872146 641959232398848 1968688193035291 5556003413047920 14596463013075000
(loop(\(x,i).((((x * x) + 1) * x) * x),1,(((x * x) * x) * (x * x))) div 2)
A170802: 0 1 524800 1743421725 549756338176 47683720703125 1828079250264576 39896133290043625 576460752840294400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x * x) + 1) * x),1,(((x * x) * x) * (x * x))) * x) div 2)
A168634: 0 1 32800 21523725 2147485696 76293953125 1410554977056 16616465343625 140737488486400 926510094691641 5000000000500000 22974864932671861 92442129449011200 332708304594003325 1088976668908450336
((((loop(\(x,i).(2 - (x - (x div ((2 + 2) + 1)))),2,x) + x) + x) + x) + 2)
A184929: 2 6 10 13 17 20 24 28 32 35 38 42 46 50 54 57
((loop(\(x,i).(((x * x) * x) * ((x * x) + 1)),1,((x * x) * x)) * x) div 2)
A170798: 0 1 33280 21552885 2148007936 76298828125 1410585186816 16616606522425 140738025226240 926511837818121 5000005000000000 22974877900498381 92442160406200320 332708373520835845 1088976813532013056
((loop(\(x,i).(((((x * x) * x) + 1) * x) * x),1,((x * x) * x)) * x) div 2)
A168666: 0 1 32832 21524454 2147491840 76293984375 1410555093696 16616465696572 140737489403904 926510096817405 5000000005000000 22974864941529666 92442129465434112 332708304622964179 1088976668957392320
((if ((x + 2) mod ((2 + 1) * 2)) <= 0 then (((x div (2 + 1)) * 2) + 1) else 0) + x)
A295484: 0 1 2 3 7
A235801: 0 1 2 3 7 5 6 7 8 9 17 11 12 13 14 15
((if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then ((2 + 2) * (2 + 1)) else 0) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A305463: 0 1 2 3 4 5 6 7 8 9 22 23 12 13 14 15
(loop(\(x,i).(x - ((x div ((x div (1 - ((2 + 2) * 2))) - 2)) - 1)),x,0) + x)
A213707: 0 2 5 8 12 16 21 26 32 38 45 52 60 68 76 84
(loop(\(x,i).((((x - ((1 - x) div (2 + 1))) div (i + 1)) + x) + 2),x,0) - x)
A145197: 0 1 3 5 8 11 15 19 23 28 33 38 44 50 56 62
((((((((x + 2) * x) + 2) * 2) + 1) * (2 + 1)) + (if x <= 0 then 0 else 1)) - x)
A228321: 15 33 62 103 156 221 298 387 488 601 726 863 1012 1173 1346 1531
((if (2 - x) <= 0 then (2 - ((2 - x) div (((2 + 2) * (2 + 1)) - 1))) else 1) + x)
A138888: 1 2 4 6 7 8 9 10 11 12 13 14 15 16 18 19
compr(\x.((x + 1) mod ((if ((x - 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1) + 1)),x)
A120212: 3 5 7 8 9 11 13 17 19 21 23 25 27 29 31 33
compr(\x.(1 - (x mod ((if (x mod (1 - (x div ((0 - 2) - 2)))) <= 0 then 2 else 1) + 1))),x)
A343983-A074583-A001092: 1 2 3 4 5 7 9 11 13 17 19 23 25 27 29 31
compr(\x.(1 - (x mod (((if (x mod (2 + 1)) <= 0 then 2 else 1) * ((2 + 2) + 1)) - 1))),x)
A225354: 1 2 3 5 6 7 10 11 12 13 14 15 17 19 21 22
((((if (x - 2) <= 0 then 1 else 2) + (x * 2)) * ((x div ((2 + 2) + 1)) + 1)) - x)
A227230: 1 2 3 5 6 19 22
compr(\x.(x mod ((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * (2 + 1)) - 1)),x)
A118600: 0 1 2 3 4 5 6 7 8 11 22 33 44 55 66 77
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) * (2 + 1)) - 1) * x))
A017393: 0 161051 5153632 39135393 164916224 503284375 1252332576 2706784157 5277319168 9509900499 16105100000 25937424601 40074642432 59797108943 86617093024 122298103125
((if (2 - x) <= 0 then (x - (2 - ((((x + 2) * x) div 2) mod (2 + 1)))) else 1) + x)
A014593: 1 2 3 5 6 10 10 13 15
(((loop(\(x,i).((((x + 2) * x) * 2) + 1),2,(2 + 2)) * (x - 1)) + 1) * x)
A167149: 0 1 10000 29997 59992 99985 149976 209965 279952 359937 449920 549901 659880 779857 909832 1049805
(loop(\(x,i).(((x * 2) div ((x div ((2 + 2) + 1)) + 1)) + x),(x - 1),1) + x)
A116727: 1 2 5 12 22 32 42 52 62 72 82 92 102 112 122 132
((x + 1) div (if (x mod (2 + 2)) <= 0 then ((x mod (((2 + 2) + 1) * 2)) + 1) else x))
A113607: 1 2 1 1 1 1 1 1 1 1 1 1 4 1 1 1
(((loop(\(x,i).((((x + 1) * x) - (x div (2 + 1))) * 2),x,1) div 2) + 1) + x)
A065401: 1 4 22 1474
(((loop(\(x,i).((((i + 1) * x) - (x div (2 + 1))) * 2),x,1) div 2) + 1) - x)
A245903: 1 2 10 79 753
(((((loop(\(x,i).(x - (x div (2 + 2))),2,(x div 2)) + x) + 1) * 2) + 1) - x)
A285503: 3 4 7 8 11 12 15 16 17 18 19 20 23 24 27 28
((if (2 - x) <= 0 then (((x - (((x div 2) div (2 + 1)) mod 2)) div 2) + 2) else 1) + x)
A299417: 1 2 5 6 8 9 10 12 13 15 16 18 20 21 23 24
(loop(\(x,i).(((2 + 1) * x) + 1),(x div (((x div (2 + 2)) + 2) + 2)),1) + x)
A098464-A068586-A068585: 1 2 3 4 5 9 10 11 12 13 14 15 16 17 27 28
(if (x mod 2) <= 0 then (((x * x) * x) mod (((2 + 1) * 2) * ((2 + 2) + 1))) else x)
A222232: 0 1 8 3 4 5 6 7 2 9 10 11 18 13 14 15
(if (x mod ((2 + 2) + 1)) <= 0 then (x div ((2 + 2) + 1)) else (((2 + 2) + 1) * x))
A283442: 0 5 10 15 20 1 30 35 40 45 2 55 60 65 70 3
compr(\x.((((loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)) * x) div (2 + 2)) - 1),x)
A238526: 0 1 2 3 5 7 9 11 15 17 21 27 29 35 39 41
compr(\x.((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) - (x mod ((x div (2 + 2)) + 1))),x)
A092206: 2 5 6 7 8 10 11 13 14 15 17 18 19 20 21 22
((x * 2) mod (((((if ((x div 2) - 2) <= 0 then 2 else 1) + (x mod 2)) * 2) + 1) + x))
A103694: 0 2 4 6 8 10 3 2 5 4 7 6 9 8 11 10
((((((x * x) div 2) div ((2 + 2) + 1)) - (if x <= 0 then 0 else 1)) div (2 + 1)) + x)
A316681: 0 0 1 2 4 5 6 8 9 11 13 14 16 18 20 22
((((x - ((1 - (if (2 - x) <= 0 then x else 2)) div (2 + 1))) + 1) * (2 + 1)) + x)
A187682: 6 10 14 18 22 29 33 37 44 48 52 59 63 67 74 78
(((((if (((x div 2) - 2) - 2) <= 0 then 1 else x) - 1) * (2 + 1)) * (2 + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A071271: 0 1 2 3 4 5 6 7 8 9 91 101 111 121 131 141
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) + 1) * (2 + 1)) + x))
A017021: 243 100000 1419857 7962624 28629151 79235168 184528125 380204032 714924299 1252332576 2073071593 3276800000 4984209207 7339040224 10510100501 14693280768
((((((x div 2) + 1) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1)) - x)
A111926: 0 0 0 0 1 5 15 36 78 162 331 671 1353 2718 5448 10908
((if x <= 0 then 1 else (((((x + 2) * x) * (2 + 2)) * (x + 1)) div (2 + 1))) + x)
A273744: 1 9 34 83 164 285 454 679 968 1329 1770 2299 2924 3653 4494 5455
(if x <= 0 then 1 else ((((((x - 1) div 2) * (x div (2 + 1))) div 2) div (2 + 1)) + x))
A066022: 1 1 2 3 4 5 6 8 9 11 12 13 15 17 18 20
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) + x))
A017057: 7776 371293 3200000 14348907 45435424 115856201 254803968 503284375 916132832 1564031349 2535525376 3939040643 5904900000 8587340257 12166529024 16850581551
(((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + 1) * 2) * 2) div (2 + 1)) + x)
A260480: 2 5 7 9 12 15 18 20 22 25 27 29 32 34 36 39
(((((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + 2) + 2) * (2 + 1)) + x)
A297281-A296751: 15 16 17 18 19 20 21 22 23 24 25 29 30 31 32 33
(loop(\(x,i).((i + x) * x),(2 + 1),(x div (1 - ((2 + 2) * (2 + 1))))) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A049872: 0 1 2 3 4 5 6 7 8 9 10 11 100 101 102 103
((((if x <= 0 then 2 else ((x mod (((x mod 2) + 1) * 2)) + x)) - 2) div (2 + 1)) + x)
A038669: 0 1 2 4 4 6 7 9 10 11 12 15 15 17 18 20
(((if (x mod 2) <= 0 then 2 else 0) - (x div ((2 + 2) * (2 + 1)))) + ((2 + 1) * x))
A327312: 2 3 8 9 14 15 20 21 26 27 32 33 37 38 43 44
((((2 + 2) + 1) * 2) mod (((if (x mod (2 + 2)) <= 0 then 1 else x) * (2 + 1)) + x))
A083457: 1 2 2 10 3 10 10 10 10 10 10 10 10 10 10 10
((loop(\(x,i).((x + 2) + 2),(((x - 1) div (2 + 1)) - 2),x) div (2 + 1)) + x)
A138083: 0 1 2 4 5 6
A267137: 0 1 2 4 5 6 8 9 10 12 14 16 17 20 21 22
((x + 1) - loop(\(x,i).(x - (x div (((2 + 1) * 2) + 1))),(x div (2 + 1)),x))
A307467: 1 1 1 1 1 1 1 2 3 4 4 4 5 5 6 7
((((loop(\(x,i).((((i + 2) + 1) * x) + 1),(x - 1),1) + x) * 2) + 1) + x)
A003323: 3 6 17 62 327
loop(\(x,i).((((x * 2) * 2) * 2) + 1),(((((2 + 2) + 1) * x) * 2) + 1),x)
A022251: 1 9817068105 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - (((x * 2) * 2) * 2)),(((((2 + 2) + 1) * x) * 2) + 1),x)
A015413: 1 ~7635497415 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((((i * 2) + x) - 1) * (2 + 1)),(x - 1),x) div 2) + 1) + x)
A087448: 1 2 7 26 93 322 1091 3642 12025 39362 127935 413338 1328597 4251522 13551739 43046714
((loop(\(x,i).((((2 + 1) * x) + 2) * 2),2,(x * 2)) * ((x * 2) + 1)) - x)
A156711: 28 299 858 1705 2840 4263 5974 7973 10260 12835 15698 18849 22288 26015 30030 34333
loop(\(x,i).(x - ((((1 - x) * x) div 2) div (2 + 1))),1,(((x * 2) - 1) * x))
A341735: 0 1 11 50 154 375 781 1456 2500 4029 6175 9086 12926 17875 24129 31900
(loop(\(x,i).((((x - 1) mod (2 + 1)) + 2) * x),x,1) * (((x * 2) - 1) * x))
A229679: 0 2 36 360 2688 17280 101376 559104 2949120 15040512 74711040 363331584 1736441856 8178892800 38050725888 175154135040
compr(\x.(1 - (x mod (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + (x mod 2)) + 1))),x)
A322546: 1 2 3 4 5 7 8 9 11 13 17 19 23
A280619: 1 2 3 4 5 7 8 9 11 13 17 19 23 25 29 31
(if x <= 0 then 1 else (((((2 + 2) * 2) * ((x * 2) - 1)) * ((x mod 2) + 1)) - x))
A236107: 1 15 22 77
loop(\(x,i).((((x * x) * (x * x)) * (x * x)) * ((x * 2) - 1)),x,(1 - x))
A330730: 1 0 ~5103 4611686018427387903 4611686018427387903
(loop(\(x,i).((((1 - ((2 + 2) * 2)) * (x div 2)) - 1) * 2),2,x) - (1 - x))
A095764: 11 12 111 112 211 212 311 312 411 412 511 512 611 612 711 712
(loop(\(x,i).(x - (((1 - x) div (2 - (x div ((0 - 2) - 2)))) - 1)),x,1) - x)
A072831: 1 1 2 3 5 7 10 13 16 19 22 26 29 33 37 41
(loop(\(x,i).(x - (((1 - x) div ((((x mod 2) + 2) + 2) + 2)) - 1)),x,1) - x)
A075535: 1 1 2 3 4 6 8 11 14 18 22 28 34 42 50 61
(loop(\(x,i).(((((x mod ((x div 2) + 2)) * 2) div (2 + 1)) + x) + 2),x,1) - x)
A094054: 1 2 3 4 6 9 13 19 27 38 53 74 102 139 189 256
loop(\(x,i).(((x div ((x mod (((2 + 2) + 1) * 2)) + 1)) + x) + 1),(x + 1),x)
A241175: 1 3 5 7 9 21 43 65 87
compr(\x.(2 - (loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,1) mod (x + 1))),x)
A064528: 2 3 6 7 8 10 12 14 15 17 18 19 20 21 22 23
((((loop(\(x,i).(x * x),(x - 2),(2 + 1)) + 2) * (x + 1)) * (x + 1)) - x)
A154302: 5 19 43 173
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) + x))
A017261: 32768 1419857 11881376 52521875 164916224 418195493 916132832 1804229351 3276800000 5584059449 9039207968 14025517307 21003416576 30517578125 43204003424 59797108943
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((2 + 2) * (x + 1)) + x))
A016902: 4096 531441 7529536 47045881 191102976 594823321 1544804416 3518743761 7256313856 13841287201 24794911296 42180533641 68719476736 107918163081 164206490176 243087455521
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (x + 1)) + x)
A083723: 2 7 17 31 59 83 125 159 215 299 351 455 545 615 719 863
((loop(\(x,i).((((x + 2) * (2 + 1)) div (i + 1)) + x),x,2) * (x + 1)) - x)
A007972: 2 15 52 129 266 487 820 1297 1954 2831 3972 5425 7242 9479 12196 15457
loop(\(x,i).(((((x + 2) + 2) * x) + 1) * ((x * 2) + 1)),1,((x + 1) * x))
A008516: 1 65 793 4825 19721 62281 164305 379793 793585 1531441 2771561 4757545 7812793 12356345 18920161 28167841
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1)) + ((x + 1) * x))
A318054: 0 2 7 17 35 65 112 182 282 420 605 847 1157 1547 2030 2620
((loop(\(x,i).(x * x),1,(((x mod 2) + x) * (2 + 1))) div 2) + ((x + 1) * x))
A219392: 0 20 24 84 92 192 204 344 360 540 560 780 804 1064 1092 1392
compr(\x.(1 - (loop(\(x,i).(((x - 1) * x) div 2),2,((2 + 1) * x)) mod (x + 1))),x)
A296484: 1 3 6 7 8 9 10 12 13 15 16 17 18 19 20 21
((((((x * 2) * 2) * ((x * 2) - 1)) * (2 + 1)) + 1) div (if x <= 0 then 1 else x))
A101103: 1 13 36 60 84 108 132 156 180 204 228 252 276 300 324 348
(((x - ((((x * x) div 2) - 1) div ((2 + 2) + 1))) div 2) + (if x <= 0 then 1 else x))
A136687-A086706: 1 2 3 4 5 6 7 8 9 10 10 11 11 11 11 11
((loop(\(x,i).((((x + 2) + 2) * (x + 2)) * (x + 1)),1,(x * x)) - 1) * x)
A261540: 0 29 478 4287 24476 101785 337434 946043 2333752 5206581 10714070 20633239 37597908 65378417 109216786 176222355
((x - (((x div 2) - (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 0 else 1)) div 2)) + x)
A187343: 1 3 4 6 8 10 11 13 14 17 18 20 22 23 25 27
((loop(\(x,i).(((x + 2) + 2) + 1),((x div ((2 + 2) + 1)) - 1),1) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247811: 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 20
compr(\x.(1 - (x mod ((x mod ((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 1)) + 2))),x)
A327782: 1 2 3 4 5 7 9 11 13 17 19 23 25 29 31 35
(if x <= 0 then 1 else compr(\x.((x mod ((x mod ((((x mod 2) + 2) * 2) + 1)) + 1)) mod 2),x))
A136499: 1 2 4 6 7 8 9 10 12 13 14 16 18 20 21 23
loop(\(x,i).(((((((x + 1) div 2) * x) div 2) + 1) div ((2 + 2) + 1)) + 1),2,x)
A005863: 1 1 1 1 1 1 1 2 2 2 3 4 4 6 7 10
loop(\(x,i).(1 - (x mod ((((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) + 1))),2,x)
A260942: 0 1 ~2 0 1 0 0 1 0 0 0 ~2 0 1 ~2 0
((((loop(\(x,i).i,(((x - 1) div 2) - (2 + 1)),1) mod (2 + 1)) - 1) * 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A302028-A302027: 0 1 2 3 4 5 6 7 8 9 10 13 14 11 12 15
loop(\(x,i).(x - (x mod (((((x - 1) * x) + 2) div ((x + 2) + 1)) + 1))),2,x)
A249040: 0 1 2 2 2 2 3 3 4 5 6 7 7 8 9 9
((if x <= 0 then 0 else (2 - ((x div ((((x - 1) mod (2 + 1)) * 2) + 1)) mod 2))) + x)
A058317: 0 2 4 5 6 6 7 8 10 10 12 12 14 14 16 16
((2 - ((1 - x) div ((if ((x div (0 - 2)) mod (2 + 1)) <= 0 then 2 else 1) + 2))) + x)
A304364: 2 3 5 6 7 8 10 11 13 14 15 16 17 19 21 22
(2 div loop(\(x,i).((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 1),2,x))
A286561: 1 0 1 0 1 1 0 0 0 1 0 0 1 2 1 0
(0 - loop(\(x,i).((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1),2,x))
A265602: 1 0 1 0 1 1 0 ~1 1 1 0 1 ~1 1 1 0
(((if x <= 0 then 1 else (((((x mod 2) + x) * 2) + 1) div ((2 + 2) + 1))) + 2) + x)
A298006: 3 4 5 6 7 9 10 12 13 15 16 18 19 20 21 23
((if (x - 1) <= 0 then 1 else ((x div 2) - (((x - 1) div ((2 + 2) + 1)) mod 2))) + x)
A268377-A209921-A201010-A004144: 1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22
((if (x mod 2) <= 0 then 1 else ((x + 2) - ((x + 1) mod (((2 + 2) + 1) * 2)))) + x)
A217556: 1 2 3 4 5 6 7 8 9 20 11 22 13 24 15 26
(((((if (x mod (((x div 2) + 2) + 2)) <= 0 then 1 else x) mod (2 + 2)) + 1) div 2) + x)
A138311: 1 2 3 5 4 6 7 8 9 10 11 13 12 14 15 17
((if x <= 0 then 1 else ((x * 2) - ((x mod (((2 - x) mod (2 + 2)) + 1)) mod 2))) + x)
A298474: 1 2 6 8 11 14 18 20 24 26 30 32 36 38 42 44
(2 div (if ((x - ((((x + 1) div 2) div (2 + 1)) * 2)) mod (2 + 1)) <= 0 then 2 else x))
A104162: 1 2 1 1 0 1 0 0 1 0 0 0 0 1 0 0
compr(\x.(((x + 2) mod (((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) * (2 + 1))) div 2),x)
A190853: 1 2 4 5 7 8 10 13 14 16 17 20 22 25 26 28
((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) - x)
A098740: 2 3 6 7 8 11 14 17 18 19 22 23 24 27 28 29
loop(\(x,i).(x * 2),(((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),x)
A335063: 0 1 2 6 4 10 12 28 8 18 20 44 24 52 56 120
((if (x div (2 + 2)) <= 0 then 1 else (x - ((x - ((x div 2) div (2 + 1))) div 2))) + x)
A335999: 1 2 3 4 6 8 10 11 13 14 16 17 19 21 22 24
((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + (if (x - 2) <= 0 then 1 else 2)) + x)
A329133: 1 2 3 5 6 7 9 10 11 12 13 14 17 18 19 20
(((loop(\(x,i).(((i * i) * (i + 1)) + x),(x + 2),0) * (x + 1)) div 2) * x)
A293608: 0 50 390 1680 5320 13860 31500 64680 122760 218790 370370 600600 939120 1423240 2099160 3023280
(((x * 2) * 2) div (((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) + 2) + x))
A333870-A072086: 0 1 2 1 2 2 3 1 2 2 3 2 3 3 2 1
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div ((i + 2) + 1)),(x + 1),2) * x)
A028379: 0 6 28 108 396 1430 5148 18564 67184 244188 891480 3268760 12034980 44482230 165002460 614106900
((((if (2 - x) <= 0 then (2 - ((x div 2) div ((0 - 2) - 1))) else 1) + 2) + 2) + x)
A227006: 5 6 9 10 11 12 13 14 16 17 18 19 20 21 23 24
((((x - ((x div 2) mod ((if ((x div 2) - 2) <= 0 then 2 else 1) + 1))) div 2) + 2) + x)
A062974: 2 3 4 6 7 8 10 12 14 15 16 18 20 21 22 24
compr(\x.(1 - (x mod ((if (((x + 1) div 2) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + 2))),x)
A321453: 1 2 3 5 6 7 10 11 13 14 15 17 18 19 20 21
(((if x <= 0 then 1 else ((x mod ((x mod (((1 - x) div 2) - 1)) - 1)) mod 2)) * 2) + x)
A167482: 2 1 2 5 4 7 6 9 10 11 10 13 12 15 16 17
(((loop(\(x,i).(x * x),1,((x - ((x div (0 - 2)) - 2)) + 1)) div 2) - 2) - x)
A324275: 2 9 14 27 34 53 64 89 102 133 150 187 206 249 272 321
loop(\(x,i).((x - (((x div ((2 + 2) + 1)) mod 2) * ((2 + 2) + 1))) * 2),2,x)
A059627: 0 4 8 2 6 0 4 8 2 6 40 44 48 42 46 40
(((((if x <= 0 then 1 else x) mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * 2) + x)
A076480: 2 1 2 3 4 7 6 7 8 11 10 13 12 15 16 15
loop(\(x,i).((((x + 1) * i) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2,x)
A105264: 1 2 2 3 2 3 3 4 2 3 3 4 3 4 4 4
(x - ((((x * x) * x) div loop(\(x,i).(x - ((x * x) * (2 + 1))),2,2)) + x))
A237757: 0 1 1 1 1 1 1 2 2 3 4 5 6 8 9 11
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + x))
A017213: 1024 371293 5153632 28629151 102400000 282475249 656356768 1350125107 2535525376 4437053125 7339040224 11592740743 17623416832 25937424601 37129300000 51888844699
loop(\(x,i).(((x * x) - 1) * (x + 2)),1,(((((x * 2) + 1) * 2) * 2) - x))
A001561: 90 1560 6460 16848 34782 62320 101520 154440 223138 309672 416100 544480 696870 875328 1081912 1318680
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) - x))
A017033: 1024 161051 1889568 9765625 33554432 90224199 205962976 418195493 777600000 1350125107 2219006624 3486784401 5277319168 7737809375 11040808032 15386239549
((((if (2 - (x div (2 + 2))) <= 0 then ((2 + 2) * 2) else (x + 1)) * 2) * 2) + x)
A120433: 4 9 14 19 24 29 34 39 40 41 42 43 44 45 46 47
(((((((x div 2) div ((2 + 2) + 1)) + 2) + 2) + (if x <= 0 then 1 else 2)) * 2) + x)
A241144: 10 13 14 15 16 17 18 19 20 21 24 25 26 27 28 29
((((((x * 2) * 2) - ((if x <= 0 then 1 else x) div ((0 - 2) - 2))) * 2) * 2) + x)
A188219: 4 21 38 55 72 93 110 127 144 165 182 199 216 237 254 271
compr(\x.(((x + 1) div (((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * 2) + 2)) mod 2),x)
A206331: 0 1 2 7 8 11 12 13 14 15 16 23 24 25 26 27
(x mod loop(\(x,i).(x - (((x - ((x + 2) div ((x mod 2) + 2))) div 2) div 2)),2,x))
A102605: 0 0 0 0 0 0 0 1 0 1 2 2 2 3 3 4
compr(\x.(if (x mod (2 + 2)) <= 0 then 1 else (((((x * x) + (x div 2)) div 2) div 2) mod 2)),x)
A285138: 1 3 5 10 14 15 17 19 21 26 30 31 33 35 37 42
compr(\x.(((((x * x) * x) - 1) * x) mod (loop(\(x,i).((x * x) * 2),2,2) - 2)),x)
A010424: 0 1 4 7 9 16 18 22 25 28 36 37 43 46 49 58
loop(\(x,i).(((2 + 2) + 1) * i),(x mod (x - ((x - 1) mod ((2 + 2) * 2)))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A257296: 0 1 2 3 4 5 6 7 8 9 5 10 15 20 25 30
loop(\(x,i).(((((x + 2) * 2) * 2) + 1) * (x + 2)),1,(((2 + 2) * 2) + x))
A157431: 410 495 588 689 798 915 1040 1173 1314 1463 1620 1785 1958 2139 2328 2525
((((if x <= 0 then 1 else ((x * 2) * 2)) - (((x div 2) + x) div (2 + 2))) * 2) - x)
A285682: 2 7 14 19 26 33 38 45 50 57 64 69 76 83 88 95
(((x - ((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x))) * (2 + 2)) + x)
A092454: 0 5 10 15 20 25 30 35 40 45 50 51 52 53 54 55
(loop(\(x,i).(((((2 + 2) + 1) * (x + 2)) div (i + 1)) + x),x,(2 + 2)) - x)
A027659: 4 18 52 121 246 455 784 1278 1992 2992 4356 6175 8554 11613 15488 20332
compr(\x.(1 - (x mod (((loop(\(x,i).i,(x div ((2 + 2) + 1)),1) + x) mod 2) + 2))),x)
A328674-A325394-A321698-A320324-A316476-A056867: 1 2 3 4 5 7 8 9 11 13 15 16 17 19 23 25
((loop(\(x,i).(((((x * x) div 2) - 1) div ((2 + 2) + 1)) + 1),2,x) div 2) * x)
A308867: 0 0 0 0 0 0 6 7 16 27 50 77 132 182 280 390
((loop(\(x,i).(x - ((((2 - (x div 2)) mod (x + 2)) div 2) div 2)),2,x) * 2) - x)
A271800: 0 1 2 3 4 5 4 3 2 1 2 3 4 5 6 5
((loop(\(x,i).((((2 + 2) * 2) div (i + 1)) + (x * 2)),(x div 2),x) div 2) + x)
A162951: 0 1 6 8 17 20 41
loop(\(x,i).((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)),2,((x + 2) * x))
A157915: 650 2525 5650 10025 15650 22525 30650 40025 50650 62525 75650 90025 105650 122525 140650 160025
loop(\(x,i).((((2 + 2) * 2) * (x + 1)) * ((2 + 2) + 1)),2,((x + 2) * x))
A158775: 1640 6440 14440 25640 40040 57640 78440 102440 129640 160040 193640 230440 270440 313640 360040 409640
loop(\(x,i).((((2 + 2) * (0 - 2)) * (x + 1)) * (2 + 1)),2,((x + 2) * x))
A158636: 552 2280 5160 9192 14376 20712 28200 36840 46632 57576 69672 82920 97320 112872 129576 147432
loop(\(x,i).(((1 - ((2 + 2) * 2)) * (x + 1)) * (2 + 1)),2,((x + 2) * x))
A145678: 420 1743 3948 7035 11004 15855 21588 28203 35700 44079 53340 63483 74508 86415 99204 112875
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * ((0 - x) - 1)),2,((x + 2) * x))
A158550: 156 663 1508 2691 4212 6071 8268 10803 13676 16887 20436 24323 28548 33111 38012 43251
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * ((0 - x) - 1)),2,((x + 2) * x))
A158587: 272 1139 2584 4607 7208 10387 14144 18479 23392 28883 34952 41599 48824 56627 65008 73967
loop(\(x,i).((1 - (((2 + 2) * 2) * (2 + 1))) * (x + 1)),2,((x + 2) * x))
A158633: 506 2093 4738 8441 13202 19021 25898 33833 42826 52877 63986 76153 89378 103661 119002 135401
loop(\(x,i).((2 - (((2 + 2) * 2) * (2 + 1))) * (x + 1)),2,((x + 2) * x))
A158627: 462 1914 4334 7722 12078 17402 23694 30954 39182 48378 58542 69674 81774 94842 108878 123882
loop(\(x,i).((1 - ((((2 + 2) + 1) * 2) * 2)) * (x + 1)),2,((x + 2) * x))
A158595: 342 1425 3230 5757 9006 12977 17670 23085 29222 36081 43662 51965 60990 70737 81206 92397
loop(\(x,i).(((((2 + 2) * (0 - 2)) * 2) * 2) * (x + 1)),2,((x + 2) * x))
A158683: 992 4064 9184 16352 25568 36832 50144 65504 82912 102368 123872 147424 173024 200672 230368 262112
loop(\(x,i).((((1 - ((2 + 2) * 2)) * 2) * 2) * (x + 1)),2,((x + 2) * x))
A158657: 756 3108 7028 12516 19572 28196 38388 50148 63476 78372 94836 112868 132468 153636 176372 200676
loop(\(x,i).(((1 - (((2 + 2) * 2) * 2)) * 2) * (x + 1)),2,((x + 2) * x))
A158669: 870 3570 8070 14370 22470 32370 44070 57570 72870 89970 108870 129570 152070 176370 202470 230370
loop(\(x,i).((1 - ((((2 + 2) * 2) * 2) * 2)) * (x + 1)),2,((x + 2) * x))
A158679: 930 3813 8618 15345 23994 34565 47058 61473 77810 96069 116250 138353 162378 188325 216194 245985
(((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - x) div (x + 2)) + x)
A290953: 1 2 6 16 45 136 434 1436 4869 16804 58795 208022 742911 2674452 9694858 35357684
compr(\x.((if ((x - ((x div (2 + 2)) + 1)) mod (2 + 2)) <= 0 then 0 else 1) - (x mod 2)),x)
A284852: 1 3 5 6 7 9 11 12 13 15 17 19 21 22 23 25
(((if x <= 0 then 1 else ((x - (((x div (2 + 1)) - x) * 2)) * 2)) + (x mod 2)) - x)
A063214: 1 6 10 12 16 22 22 28 32 34 38 44 44 50 54 56
((loop(\(x,i).((((x * x) + 1) * x) * x),1,((x * x) * (x * x))) div 2) * x)
A170790: 0 1 65792 64579923 8590065664 381470703125 8463334761216 116315277170407 1125899973951488 8338591043543529 50000000500000000 252723515428620731 1109305555950108672 4325207964992918653
((((((x + 1) * x) div 2) - loop(\(x,i).((x - (2 + 1)) * 2),x,0)) + x) + x)
A239745: 0 9 25 54 108 211 411 804 1582 3129 6213 12370 24672 49263 98431 196752
((loop(\(x,i).(((x * x) * (2 + 2)) * ((x * 2) - 1)),(x - 1),1) * x) * x)
A060616: 0 1 16 4032
loop(\(x,i).(x - ((x + 1) mod ((x div (((x mod 2) * (2 + 1)) + 2)) + 1))),x,x)
A325401: 0 1 1 3 1 5 3 7 1 9 5 11 3 11 7 15
loop(\(x,i).(x div (2 - ((x mod ((x mod ((x mod 2) + 2)) + 2)) mod (2 + 1)))),x,x)
A244568: 0 1 1 3 1 5 3 7 1 9 5 5 3 13 7 15
(loop(\(x,i).((x - ((x div ((x div ((2 + 2) + 1)) + 1)) mod 2)) + 1),2,x) - x)
A168313-A072575: 1 0 1 0 2 1 0 0 2 1 0 0 2 2 1 0
(loop(\(x,i).((((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2) + x),2,x) - x)
A070176: 0 0 0 1 0 0 2 1 0 0 0 2 1 0 2 1
((loop(\(x,i).(x - ((x div (((2 + 1) * 2) + 1)) - 1)),2,(x * 2)) + x) + x)
A190055: 2 6 10 13 16 20 24 27 30 34 38 41 44 48 51 55
loop(\(x,i).((x * 2) - (((x div (2 + 1)) + x) div ((2 + 2) + 1))),1,(x * x))
A293410: 0 2 7 16 28 44 63 85 111 141 174 210 250 293 340 390
loop(\(x,i).((((((x * x) * x) - 1) * x) * (x * x)) * (x - 1)),1,(x * x))
A037248: 0 0 12096 4245696 251596800 5859000000 76185748800 664376138496 4329310519296 22594320403200 98999901000000 376611192619200 1275001937104896 3914077489672896 11055311444923200 29063177136000000
(loop(\(x,i).(((((i * 2) + 1) * i) * ((2 + 2) + 1)) + x),x,1) - (x * x))
A220084: 1 15 62 162 335 601 980 1492 2157 2995 4026 5270 6747 8477 10480 12776
(loop(\(x,i).((((((2 + 2) + 1) * i) + 1) * (i + 1)) + x),x,2) - (x * x))
A102296: 2 13 43 102 200 347 553 828 1182 1625 2167 2818 3588 4487 5525 6712
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - ((x * x) * (x * x)))
A024131: 1 10 105 1250 14385 160426 1770265 19484770 214354785 2357941130 25937414601 285311655970 3138428355985 34522712115370 379749833544825 4177248169365026
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (((x * x) * (x * x)) * (x * x)))
A024107: 1 8 17 0 2465 43424 484785 4665320 42784577 386889048 3485784401 31379288048 282426550497 2541861001520 22876784925425 205891120704024
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - (((x * x) * (x * x)) * (x * x)))
A024068: 1 5 ~28 ~513 ~2800 ~7849 0 162287 1417472 9546255 59466176 361025495 2173796352 13055867207 78356634560 470173593951
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (((x * x) * (x * x)) * (x * x)))
A024094: 1 7 0 ~217 0 17143 215488 1979503 16515072 133686287 1072741824 8588163031 68716490752 549750987079 4398038981568 35184360698207
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (((x * x) * (x * x)) * (x * x)))
A024055: 1 4 ~39 ~604 ~3471 ~12500 ~31031 ~39524 128481 1421684 8765625 47056564 241154641 1215876316 6095986089 30506187500
(loop(\(x,i).((x * 2) * 2),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024043: 1 3 ~112 ~2123 ~16128 ~77101 ~275840 ~807159 ~2031616 ~4520825 ~8951424 ~15292867 ~19054592 4360347 163021952 902882449
(loop(\(x,i).((2 + 1) * x),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024030: 1 2 ~119 ~2160 ~16303 ~77882 ~279207 ~821356 ~2090591 ~4763286 ~9940951 ~19310024 ~35300367 ~61154194 ~100630535 ~156510468
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - (((x * x) * x) * (x * x)))
A024145: 1 11 112 1485 19712 245707 2978208 35815001 429948928 5159721303 61917264224 743008209637 8916100199424 106993205007779 1283918464011040 15407021573826993
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (((x * x) * x) * (x * x)))
A024119: 1 9 68 757 8976 96875 992224 9983193 99967232 999940951 9999900000 99999838949 999999751168 9999999628707 99999999462176 999999999240625
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - (((x * x) * x) * (x * x)))
A024080: 1 6 17 100 1377 13682 109873 806736 5732033 40294558 282375249 1977165692 13841038369 96888639114 678222535025 4747560750568
loop(\(x,i).((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1),1,((x * x) * x))
A274251: 1 1 10 75 374 1365 3997 9976 22102 44652 83834 148296 249697 403333 628834 950907
(((loop(\(x,i).(((i + 1) * i) + x),(x * 2),x) * 2) + 1) - ((x * x) * x))
A100187: 1 18 77 204 425 766 1253 1912 2769 3850 5181 6788 8697 10934 13525 16496
((((if x <= 0 then 1 else compr(\x.((((x div 2) div (2 + 1)) * x) mod 2),x)) + x) + x) + x)
A311167: 1 4 8 12 16 20 24 29 34 39 43 47 51 55 59 63
(x div (((x + 1) div (((x mod (((x * 2) mod (2 + 1)) + 1)) + 1) + 1)) + 1))
A337772: 0 1 1 1 2 1 1 2 1 1 2 2 1 2 1 1
(((2 + 1) mod (((x div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1)) + 1)
A344417-A255231-A050377: 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 4
((x div ((x mod ((x mod (((0 - x) mod ((x div 2) + 1)) + 1)) + 1)) + 1)) + 1)
A117818: 1 2 3 2 5 3 7 4 3 5 11 6 13 7 5 8
((x mod ((x mod (((x div 2) mod (((x mod (2 + 1)) + 2) + 1)) + 1)) + 1)) + 1)
A087267: 1 1 1 2 1 3 1 4 1 2 1 1 1 2 3 2
((x div ((x mod ((x mod ((x div (((x mod 2) + 2) + 2)) + 1)) + 1)) + 1)) + 1)
A322445: 1 2 3 4 5 3 7 4 3 5 11 4 13 7 5 4
((((x * 2) + 1) mod (((x * 2) mod (((x + 1) div (2 + 1)) + 1)) + 1)) + 1)
A345992: 1 1 1 1 1 2 1 1 1 2 1 3 1 2 5 1
((x div ((x mod (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + 1)) + 1)) + 1)
A341679: 1 2 3 2 5 3 7 4 3 2 11 6 13 7 5 8
((x mod (((((x + 1) mod (2 + 1)) + 1) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A337375: 1 1 1 1 1 2 1 1 1 1 3 2 1 2 1 1
((x mod ((((((x + 2) * 2) * 2) + 1) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A327979: 1 1 1 2 1 2 1 2 3 2 1 2 1 2 1 4
(((x + 2) mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A294874: 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 6
(((((x + 1) div 2) + 1) mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A288627: 1 1 1 1 1 1 1 3 2 1 1 2 3 1 1 1
((2 - ((1 - x) div ((x mod ((x mod ((2 - (x mod 2)) + 1)) + 1)) + 1))) + 1)
A111234: 2 3 4 4 6 5 8 6 6 7 12 8 14 9 8 10
(((x - 1) mod (((x div 2) mod (((x mod ((2 + 2) + 1)) * 2) - 1)) + 1)) + 1)
A060176: 1 1 2 1 1 1 1 1 3 4 1 1 1 1 1 1
((x div ((x mod (((x mod (x - ((x mod (2 + 2)) + 1))) div 2) + 1)) + 1)) + 1)
A327393: 1 2 3 4 5 3 7 8 9 5 11 4 13 7 15 16
(((x - 1) mod ((x mod (((((x div 2) * 2) div (2 + 1)) * 2) - 1)) + 1)) + 1)
A187783: 1 1 1 1 1 1 1 1 2 1 1 1 6 6 1 1
((((x + 2) * x) mod ((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1)) + 1)
A067815: 1 1 1 2 1 2 1 2 3 1 1 3 1 1 3 4
(((1 - x) mod (((x + 1) mod ((((x div 2) div (2 + 1)) * 2) + 1)) + 1)) + 1)
A232088: 1 1 1 1 1 1 2 1 1 1 1 1 2 4 1 1
(((x - 1) mod ((x mod (((x div ((2 - (x mod 2)) + 1)) * 2) + 1)) + 1)) + 1)
A230849: 1 1 1 1 2 1 2 1 4 1 2 1 4 1 2 1
(((x + 1) * 2) - (((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)) - 1))
A274430: 3 5 8 9 12 13 17 18 19 23 24 25 30 31 32 33
(((x div 2) mod ((x mod ((x mod ((x div ((2 + 2) * 2)) + 2)) + 1)) + 1)) + 1)
A322871-A322870: 1 1 1 2 1 1 1 2 2 1 1 3 1 1 2 1
((((x * 2) - 1) mod ((x div (((((x div 2) mod 2) + 2) * 2) + 1)) + 1)) + 1)
A106031: 1 1 1 1 1 2 1 2 2 2 2 2 3 2 1 3
((x mod ((x mod ((x div (((1 - (x div 2)) mod (2 + 2)) + 2)) + 1)) + 1)) + 1)
A072504: 1 1 1 2 1 2 1 2 3 2 1 6 1 2 3 4
((((x * 2) + 1) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 1)) + 1)) + 1)
A083312: 1 1 2 1 1 3 1 1 2 4 1 3 1 1 5 1
((((x + 2) * x) mod (((x * 2) mod (((x div (2 + 2)) * 2) - 1)) + 1)) + 1)
A302828: 1 1 1 1 1 1 1 1 1 1 1 2 4 2 1 1
(((x div (2 + 1)) mod (((x * x) mod (((x mod (2 + 2)) * 2) - 1)) + 1)) + 1)
A285706: 1 1 1 2 1 1 1 3 1 1 2 2 1 1 1 1
((x div ((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)) + 1)
A330691-A324388-A309639-A034699: 1 2 3 4 5 3 7 8 9 5 11 4 13 7 5 16
((x mod (((x - 1) mod ((((x - 1) mod (2 + 1)) * (2 + 2)) + 1)) + 1)) + 1)
A046535: 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 4
((x div ((((x + 2) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)) + 1)
A019555: 1 2 3 2 5 6 7 2 3 10 11 6 13 14 15 4
(x - ((x mod ((((x div ((2 + 2) * 2)) + 1) * ((2 + 2) + 1)) - 1)) - 1))
A093704: 1 1 1 1 5 5 5 5 1 10 10 10 10 10 10 10
((1 - x) mod ((((x div 2) + 2) mod (((x - 1) mod ((2 + 2) + 1)) + 1)) + 1))
A238450: 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 1
((((x * x) + 1) mod (((((x + 1) * x) div 2) mod ((2 + 2) + 1)) + 1)) + 1)
A126863: 1 1 2 1 1 1 2 3 2 1 1 1 2 1 1 1
(x - (((((2 - x) div 2) * (2 + 1)) mod ((x div ((2 + 2) + 1)) + 1)) - 1))
A332713: 1 2 3 4 5 6 7 7 8 10 11 12 13 14 15 13
(((((x mod (2 + 1)) div 2) + (x div 2)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A306250: 1 1 1 1 1 2 2 2 2 1 3 1 1 1 3 4
((((((x - 1) div 2) mod (2 + 1)) + x) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A059780: 1 1 1 1 1 2 1 2 1 1 3 2 3 2 3 1
((x + 1) mod ((((x div 2) * 2) mod (((x * x) mod ((2 + 2) + 1)) + 1)) + 1))
A331106: 0 0 0 1 0 0 0 0 1 0 0 0 1 2 0 0
(((((x div (2 + 1)) + 1) div 2) div ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1)
A292375-A291150: 1 1 1 1 2 1 2 1 2 2 2 1 3 2 1 1
(((x + 2) mod (((1 - x) mod (((x * 2) div ((x div 2) + 2)) + 1)) + 1)) + 1)
A206722: 1 1 1 2 1 2 1 1 2 1 1 2 1 1 1 3
(((x * 2) mod (((x div 2) mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1)
A276836: 1 1 1 1 1 2 1 3 1 4 3 5 1 6 1 7
((2 + 2) - ((1 - x) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)))
A227215: 3 4 5 5 7 6 9 6 7 8 13 7 15 10 9 8
((x mod (((((x + 1) div 2) div ((x mod (2 + 1)) + 1)) mod (2 + 1)) + 1)) + 1)
A298614: 1 1 1 1 1 2 1 2 1 1 2 3 1 1 3 1
(((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)) + 1)
A321455-A318434-A159631-A096309-A049419-A046951: 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 3
(((x * 2) - ((x div 2) mod (((((x + 1) div 2) + 1) mod (2 + 1)) + 1))) + 1)
A284776: 1 3 4 7 9 11 12 15 16 19 21 22 25 27 28 31
(((x div 2) div ((((x * 2) mod (((2 + 2) * 2) + 1)) * (2 + 1)) + 1)) + 1)
A031261: 1 1 1 1 1 1 1 1 1 5 1 1 1 1 2 1
((x mod (((((x * x) * 2) mod (((2 + 2) * 2) + 1)) * (2 + 1)) + 1)) + 1)
A214059: 1 2 3 1 5 6 1 8 2 1 4 12 1 14 15 1
(((x + 2) mod ((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) + 1)) + 1)
A089723: 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 3
((((x * x) * 2) div (x - (((1 - (x div (2 + 1))) div (2 + 1)) - 1))) + 1)
A196499: 1 2 3 5 7 9 10 11 13 15 17 19 21 23 25 26
(((((2 + 1) * x) * (2 + 1)) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) + 1)
A173822: 1 10 19 9 18 8 17 7 16 6 15 5 14 4 13 3
(x mod (x - ((((x div 2) - 1) mod ((((x + 1) div 2) mod (2 + 1)) + 1)) + 1)))
A279205: 0 0 0 1 0 1 1 1 2 1 2 1 1 2 1 1
(((((x div (2 + 1)) + 1) * 2) mod ((((x + 1) div 2) mod (2 + 1)) + 1)) + 1)
A211999: 1 1 1 2 2 1 1 1 1 3 3 1 1 1 1 1
(x - (((1 - (x * x)) div (((((2 + 2) * 2) * 2) * (2 + 1)) + 1)) - 1))
A188372: 1 2 4 5 6 7 8 9 11 12 14 15 16 18 19 21
(((x + 1) mod (((((x - ((x div 2) mod 2)) div 2) * 2) mod (2 + 1)) + 1)) + 1)
A332278: 1 1 1 2 2 1 2 1 1 2 3 1 1 1 1 2
(((((x + 2) * (x + 1)) * (2 + 1)) div (((2 + 2) * (2 + 1)) + 1)) + 1)
A193622: 1 2 3 5 7 10
A075353: 1 2 3 5 7 10 13 17 21 26 31 37 43 49 56 63
(((((2 + 2) * (x + 1)) * (x + 1)) * (((2 + 2) * (2 + 1)) + 1)) - 1)
A158640: 51 207 467 831 1299 1871 2547 3327 4211 5199 6291 7487 8787 10191 11699 13311
(((((2 + 2) * (x + 1)) * (x + 1)) * (((2 + 2) * (2 + 1)) - 1)) - 1)
A158628: 43 175 395 703 1099 1583 2155 2815 3563 4399 5323 6335 7435 8623 9899 11263
(x - (((x - ((x * x) div (2 + 2))) div (((2 + 2) * (2 + 1)) - 1)) - 1))
A324849-A319630-A306528-A116358-A091010: 1 2 3 4 5 7 8 9 10 11 13 14 16 17 19 20
(((x + 2) mod (((((x div 2) * x) + (x div (2 + 2))) mod (2 + 1)) + 1)) + 1)
A051194: 1 1 2 1 1 2 1 2 1 3 1 1 1 1 2 1
(((x + 1) mod (((((1 - (x div 2)) div (2 + 1)) - x) mod (2 + 1)) + 1)) + 1)
A175191: 1 3 2 1 2 1 2 1 1 2 1 1 2 1 1 1
(((x mod (2 + 2)) mod (((x * 2) mod (2 - ((1 - x) div (2 + 1)))) + 1)) + 1)
A074389: 1 1 1 1 1 2 1 1 1 2 1 4 1 2 1 1
(((((x div (2 + 2)) + x) + 2) - (x div (((1 - x) div (2 + 1)) - 1))) + 1)
A183872: 3 5 6 8 10 11 12 14 15 17 18 19 21 22 23 24
(((x div ((x mod ((x div (0 - 2)) - 1)) - 1)) mod ((x div (2 + 1)) + 1)) + 1)
A001817: 1 1 1 2 1 1 2 2 1 2 1 2 2 2 1 3
(((x - ((x + 1) mod (((2 + 2) * 2) + 1))) mod ((x div (2 + 1)) + 1)) + 1)
A071451: 1 1 1 2 2 2 3 3 3 1 1 1 4 4 4 3
((((((x + 2) * x) * (x div (2 + 1))) div 2) mod ((x div (2 + 1)) + 1)) + 1)
A233932: 1 1 1 2 1 2 1 1 3 1 1 3 2 1 4 2
(1 - (((x div (2 + 1)) + 1) mod (((x - 2) mod ((x div (2 + 1)) + 1)) + 1)))
A051794: 1 1 1 1 1 1 0 1 1 1 1 1 1 0 ~1 1
(((((x mod 2) * x) div (2 + 2)) + 1) * ((x mod ((x div (2 + 1)) + 1)) + 1))
A243329: 1 1 1 2 1 4 1 4 3 6
((x div 2) mod ((x mod (((((2 + 1) * 2) + 1) mod ((x div 2) + 1)) + 1)) + 1))
A336567: 0 0 0 1 0 0 0 3 1 0 0 1 0 0 0 7
((x mod (((((2 + 2) * (x - 1)) * (x - 1)) mod ((x div 2) + 1)) + 1)) + 1)
A082069: 1 1 1 1 1 2 1 1 1 2 1 2 1 2 5 1
((x mod (((x mod (((x mod (2 + 2)) + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1)
A327404-A327395: 1 1 1 2 1 2 1 4 1 2 1 4 1 2 3 8
((((x div 2) + 1) mod ((((2 - x) * (x * 2)) mod ((x div 2) + 1)) + 1)) + 1)
A265120: 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 3
(2 div ((((x mod (2 + 1)) + 1) mod ((x div ((2 - (x mod 2)) + 1)) + 1)) + 1))
A076447: 2 2 2 1 2 2 1 0 2 1 0 0 1 0 0 1
(((x + 1) mod ((((2 - (x div (2 + 1))) mod (2 + 1)) mod (x + 1)) + 1)) + 1)
A325032: 1 1 1 1 2 1 1 1 1 2 3 1 2 1 2 1
((x mod (((((((x mod (2 + 1)) div 2) + 2) * 2) * 2) mod (x + 1)) + 1)) + 1)
A065518: 1 1 1 1 1 1 1 1 1 1 2 1 4 5 2 7
(x - (((x + 1) mod (((x - ((x - 1) mod (2 + 2))) mod (x + 1)) + 1)) - 1))
A250983: 1 2 2 4 4 6 6 6 6 10 10 10 10 14 14 14
((((2 + 2) * (x + 1)) - ((x * x) div (((2 + 2) * (x + 1)) + 1))) - 1)
A249244: 3 7 11 15 19 22 26 30 34 38 41 45 49 53 56 60
((((x * 2) * 2) - ((x * x) div ((x + 2) - (x div ((0 - 2) - 1))))) + 1)
A186512: 1 5 9 12 15 19 22 25 29 32 35 38 41 45 48 51
(((x * x) mod ((((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) * 2) + 1)) + 1)
A275069-A274835-A212382-A212363: 1 1 1 1 1 1 1 1 2 1 1 1 1 5 1 1
((((x div ((2 + 2) + 1)) + 1) mod ((((x div (2 + 1)) + 1) div 2) + 1)) + 1)
A165031: 1 1 1 2 2 1 1 1 1 3 1 1 1 1 1 1
((2 mod (((x mod (((x div ((x mod (2 + 2)) + 1)) + 2) + 1)) div 2) + 1)) + 1)
A243915: 1 1 1 1 3 1 1 1 3 1 3 1 3 3 1 1
((x mod ((((x - 2) mod ((((x div 2) div (2 + 1)) * 2) + 1)) * 2) + 1)) + 1)
A130046: 1 1 1 1 1 1 1 3 1 1 1 1 1 2 5 2
(2 div ((x mod (((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) * 2) + 1)) + 1))
A122157: 2 2 0 2 0 2 0 1 0 2 0 1 0 2 0 1
((x mod ((((x - (((x mod 2) * 2) - 1)) div ((2 + 2) + 1)) * 2) + 1)) + 1)
A324209-A306727-A128227: 1 1 1 1 2 1 1 2 3 1 1 2 3 4 1 1
((((((x + 1) * 2) + 1) * x) mod ((((x div (2 + 2)) + 1) div 2) + 1)) + 1)
A247976: 1 1 1 1 1 2 1 2 1 2 1 2 1 3 3 1
((((x + 1) div 2) mod ((((x div ((2 + 2) + 1)) mod (2 + 1)) * 2) + 1)) + 1)
A299029: 1 1 1 1 1 1 1 2 2 3 1 2 2 3 3 1
((((x * 2) + 1) div ((((x - (x div (2 + 1))) div (2 + 1)) + 2) + 1)) + 1)
A260690-A049727: 1 2 2 3 3 3 4 4 4 4 5 5 6 5 5 6
(x div (((x div 2) div ((((((x div 2) + 1) div 2) mod (2 + 1)) * 2) + 1)) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A134777: 0 1 2 3 4 5 6 7 8 9 1 1 1 1 4 5
(((x div 2) + 1) div ((x mod ((x div (((x mod 2) * (2 + 1)) + 2)) + 1)) + 1))
A100727: 1 1 2 2 1 1 1 2 1 2 1 2 1 3 1 2
(((((((x + 1) * x) + 2) * (x + 1)) - 1) * (((2 + 1) * 2) + 1)) - 1)
A167547: 6 48 160 384 762 1336 2148 3240 4654 6432 8616 11248 14370 18024 22252 27096
((((((x div 2) + 1) * (x + 1)) * (2 + 1)) div (((2 + 1) * 2) + 1)) + 1)
A008368: 1 1 3 4 7 8 13 14 20 22 29 31 40
((((((2 + 2) * 2) * (x + 1)) * (x + 1)) * (((2 + 1) * 2) + 1)) - 1)
A158658: 55 223 503 895 1399 2015 2743 3583 4535 5599 6775 8063 9463 10975 12599 14335
(((x + 2) + 2) div (((2 - ((x div 2) mod 2)) * (((2 + 1) * 2) + 1)) - 1))
A027358: 0 0 1 1 0 0 1 1 0 1 2 2 1 1 3 3
((((x * 2) * (2 + 1)) - (((1 - x) * 2) div (((2 + 1) * 2) + 1))) + 1)
A246305: 1 7 14 20 26 33 39 45 51 58 64 70 77 83 89 95
(x - (((((((x - 1) div 2) div 2) * x) div 2) div (((2 + 1) * 2) + 1)) - 1))
A081063: 1 2 3 4 5 6 7 8 9 9 10 11 12 12 12 13
((((((((x + 1) div 2) div 2) div 2) + x) + 2) * (((2 + 1) * 2) + 1)) + 1)
A227095: 15 22 29 36 43 50 57 71 78 85 92 99 106 113 120 134
((x + 1) div (x - ((x mod 2) - (((x div 2) mod (((2 + 1) * 2) + 1)) + 1))))
A064530: 1 2 0 1 0 0 0 0 0 0 0 0 0 0 1 1
((((((x + 2) * x) * ((2 + 2) + 1)) - x) div (((2 + 1) * 2) + 1)) + 1)
A083462: 1 3 6 11
A025743: 1 3 6 11 17 25 34 45 57 70 85 101 119 138 159 181
(((x * x) * 2) mod (((((x * 2) - 1) * x) mod (((2 + 1) * 2) + 1)) + 1))
A055029: 0 0 1 0 0 2 0 0 0 1 0 0 0 2 0 0
(x - ((((x + 2) div ((2 + 2) + 1)) + (x div (((2 + 1) * 2) + 1))) - 1))
A172104: 1 2 3 3 4 5 6 6 6 7 8 9 10 10 10 11
(((x - ((1 - x) div ((x div 2) + 2))) + (x div (((2 + 1) * 2) + 1))) + 1)
A070110: 1 2 4 5 6 7 8 11 12 13 14 15 16 17 19 20
((((x div (((2 + 1) * 2) + 1)) + 1) * (x mod (((2 + 1) * 2) + 1))) + 1)
A194754: 1 2 3 4 5 6 7 1 3 5 7 9 11 13 1 4
(x - (1 - (2 div ((x mod ((((x + 2) * x) mod ((2 + 1) * 2)) + 1)) + 1))))
A085801: 1 1 1 2 5 4 7 6 7 9 11 10 13 13 13 14
(((x * 2) mod ((((2 + 2) * (x + 1)) mod ((x div (2 + 1)) + 2)) + 1)) + 1)
A143261: 1 1 1 1 3 1 1 1 1 1 1 3 5 3 1 1
(x - ((((2 + 1) * x) mod (((1 - x) mod ((x div (2 + 1)) + 2)) + 1)) - 1))
A064464: 1 2 3 3 5 6 5 8 9 10 11 12 13 14 15 16
(((((((2 + 2) + 1) * 2) - (x mod 2)) + 1) * (((x + 1) div 2) + 1)) + 1)
A132132: 12 21 23 31 34 41 45 51 56 61 67 71 78 81 89 91
(((x div 2) + 1) mod ((x div ((((x div ((2 + 2) + 1)) mod 2) + 2) + 1)) + 1))
A184156: 0 0 0 0 1 1 0 0 2 2 2 2 2 2 3 0
(((x + 1) div (((((x * 2) mod ((x mod (2 + 2)) + 1)) + 2) * 2) + 1)) + 1)
A000177: 1 1 1 1 2 2 2 1 2 3 2 2 3 3 3 2
(((x + 2) mod ((x div ((x div (((x div 2) mod (2 + 1)) + 2)) + 2)) + 1)) + 1)
A323305-A322867-A322794-A290085-A163377: 1 1 1 2 1 2 1 2 2 2 1 2 1 2 2 3
((((x div 2) + 2) div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) + 1)
A057828: 1 1 1 1 2 1 2 1 2 2 3 1 3 2 2 2
((x mod (((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) * 2) + 1)) + 1)
A136406: 1 1 1 1 1 1 1 3 1 1 1 2 3 1 1 1
(2 div (((x + 1) mod ((((2 - ((x mod (2 + 1)) div 2)) * 2) * 2) + 1)) + 1))
A166301: 1 0 0 0 0 1 0 0 0 1 0 0 0 0 2 0
(((x + 1) mod ((x mod ((x mod ((((x mod 2) + 1) * 2) * 2)) + 2)) + 1)) + 1)
A294306-A181348: 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 3
((x div ((x div ((x div (1 - ((x mod ((0 - 2) - 2)) - 2))) + 2)) + 1)) + 1)
A128330: 1 2 2 2 3 2 3 3 3 3 4 4 5 4 4 4
((x mod (((((((x + 2) * x) mod ((2 + 1) * 2)) + 2) * 2) * 2) + 1)) + 1)
A071785: 1 2 3 4 5 6 7 8 9 10 2 12 4 14 15 16
(((1 - x) mod ((((x mod (((x div (2 + 2)) + 2) + 2)) mod 2) * 2) + 1)) + 1)
A338884: 1 1 1 2 1 1 2 1 1 2 1 3 2 1 1 2
((((x * x) div (2 + 2)) div ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) + 1)
A003105: 1 1 1 1 1 2 2 3 3 3 4 5 6 7 8 9
((((x + 2) * x) mod (((x div ((((x div 2) mod 2) + 2) * 2)) * 2) + 1)) + 1)
A302044-A302034-A226040-A119288-A028234: 1 1 1 1 1 3 1 1 1 5 1 3 1 7 5 1
(((((2 + 2) * (x + 1)) * (x + 1)) * ((((2 + 2) * 2) * 2) + 1)) - 1)
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(((((2 + 2) * (x + 1)) * (x + 1)) * ((((2 + 2) * 2) * 2) - 1)) - 1)
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(x - ((((((x div 2) + 1) div 2) * x) div ((((2 + 2) * 2) * 2) - 1)) - 1))
A269849: 1 2 3 4 5 6 7 8 8 9 9 10 11 12 12 12
(((2 + 2) * 2) mod ((((1 - x) * x) mod ((((2 + 2) * 2) * 2) - 1)) - 1))
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((((x div 2) + 1) mod ((x div (((1 - x) mod ((2 + 2) * 2)) + 2)) + 1)) + 1)
A224850: 1 1 1 1 1 1 1 1 3 1 1 1 2 2 3 1
(((x * x) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A152719: 1 1 1 1 2 1 1 2 2 1 1 2 5 2 1 1
((x mod ((((((1 - x) * (2 + 1)) mod ((x div 2) + 2)) div 2) * 2) + 1)) + 1)
A173265-A157744-A116855: 1 1 1 1 2 1 1 2 3 1 1 2 6 4 1 1
((x div (((x + 1) div ((((x * x) mod ((x div 2) + 2)) mod 2) + 2)) + 1)) + 1)
A120676: 1 2 2 2 2 2 3 2 2 3 2 2 2 3 3 2
(((((x + 1) div 2) + 1) mod ((x div ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1)
A027751: 1 1 1 1 2 1 1 2 3 1 1 2 4 1 3 1
((x + 1) div (((x + 2) div ((((x mod ((x mod 2) + 2)) mod 2) + 2) + 1)) + 1))
A191591: 1 2 1 2 1 2 2 2 2 2 2 2 2 3 2 2
((x * 2) - (((x + 2) div ((2 - (x div (1 - ((2 + 2) * 2)))) + 1)) - 1))
A024672: 1 3 4 6 8 10 11 13 15 17 19 21 23 24 26 29
((((((2 + 2) * (x + 1)) * (x + 1)) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A191762: 4 7 9 1 1 9 7 4 9 4 7 9 1 1 9 7
(((((1 - ((x mod 2) * 2)) * (x + 1)) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A253298: 1 7 3 5 5 3 7 1 9 8 2 6 4 4 6 2
(x - (((x - (x div (((2 + 2) * 2) + 1))) mod (((2 + 2) * 2) + 1)) - 1))
A086862-A027828: 1 1 1 1 1 1 1 1 1 2 11 11 11 11 11 11
(x mod (((((x * x) div ((x + 2) + 2)) + 1) mod (((2 + 2) * 2) + 1)) + 1))
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((((((x + 1) * 2) * (x + 1)) * (2 + 1)) * (((2 + 2) * 2) + 1)) - 1)
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(((((2 + 2) * (x + 1)) * ((x * 2) + 1)) div (((2 + 2) * 2) + 1)) + 1)
A025721: 1 3 7 13 21 30 41 54 69 85 103 123 145 169 194 221
((((((((x + 1) div 2) div 2) div 2) + x) + 1) * (((2 + 2) * 2) + 1)) - 1)
A044441: 8 17 26 35 44 53 62 80 89 98 107 116 125 134 143 161
((((x - ((x div ((0 - 2) - 2)) - 1)) * 2) * (((2 + 2) * 2) + 1)) - 1)
A295869: 17 53 71 89 107 143 161 179 197 233 251 269 287 323 341 359
(((x * 2) - ((x mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1))) + 1)
A092596: 1 2 3 4 5 6 7 8 9 19
A077557: 1 2 3 4 5 6 7 8 9 19 21 22 23 24 25 26
((x + 1) div (((x mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1)) + 1))
A071203-A066577: 1 1 1 1 1 1 1 1 1 10 11 6 4 3 3 2
((((((x div 2) - (x mod 2)) * (x + 1)) div 2) div (((2 + 2) * 2) + 1)) + 1)
A325132: 1 0 1 1 1 1 2 1 3 2 4 3 5 4 6 6
(((((x div (((2 + 2) * 2) + 1)) + x) + 2) * (((2 + 2) * 2) + 1)) + 1)
A094677-A052224: 19 28 37 46 55 64 73 82 91 109 118 127 136 145 154 163
(((x + 1) div 2) div (((((x + 2) * x) div 2) mod (((2 + 2) * 2) + 1)) + 1))
A141150: 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 4
(x - ((((x mod (((2 + 2) * 2) + 1)) - x) * (((2 + 2) * 2) + 1)) - 1))
A061219: 1 2 3 4 5 6 7 8 9 91 92 93 94 95 96 97
(x - ((((x mod (((2 + 2) + 1) * 2)) - x) * (((2 + 2) * 2) + 1)) - 1))
A111705: 1 2 3 4 5 6 7 8 9 10 101 102 103 104 105 106
((((((((2 + 1) * x) + 2) * 2) * 2) - x) * (((2 + 2) * 2) + 1)) - 1)
A278127: 71 170 269 368 467 566 665 764 863 962 1061 1160 1259 1358 1457 1556
(((x - ((1 - x) div ((x div 2) + 2))) + (x div (((2 + 2) * 2) + 1))) + 1)
A086743: 1 2 4 5 6 7 8 10 11 13 14 15 16 17 18 19
(((((x + 1) * 2) * ((2 + 2) + 1)) + (x mod (((2 + 2) * 2) + 1))) + 1)
A308104-A108203: 11 22 33 44 55 66 77 88 99 101 112 123 134 145 156 167
(((x + 1) mod (((2 + 2) + 1) * 2)) * ((x mod (((2 + 2) * 2) + 1)) + 1))
A066308: 1 4 9 16 25 36 49 64 81 0 2 6 12 20 30 42
(((2 + 2) * 2) div ((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1))
A205383: 8 4 8 2 8 4 8 1 8 4 8 2 8 4 8 1
(2 div (((((0 - x) mod (2 + 2)) + 1) div ((x div ((2 + 2) * 2)) + 1)) + 1))
A029372: 1 0 0 0 1 0 0 0 2 0 1 1 2 0 1 1
(x - ((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) - 1))
A131233: 1 2 3 4 5 5 7 8 9 9 11 10 13 13 14 16
((x + 1) mod (((1 - x) mod (((x div 2) mod ((x mod (2 + 2)) + 2)) + 1)) + 1))
A206590: 0 0 1 0 0 0 3 2 0 0 1 0 0 0 3 0
(((x - 1) mod (((x div ((2 - (((x div 2) * x) mod 2)) * 2)) * 2) - 1)) + 1)
A236920: 1 1 1 1 1 1 1 2 2 3 1 2 2 3 4 2
((x div (((((1 - ((x mod (2 + 2)) * 2)) mod (x + 2)) + 2) * 2) - 1)) + 1)
A277231: 1 1 1 2 1 1 1 1 2 1 1 1 3 1 1 1
(x - (x div ((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)))
A330734-A081805: 0 0 0 0 0 3 0 0 0 5 0 8 0 7 10 0
((((x mod ((x div (2 + 2)) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1)) + 1)
A331023-A316978: 1 1 1 2 1 1 1 3 2 1 1 4 1 1 1 5
(((((x div ((2 + 2) + 1)) mod 2) + 1) div (((x + 1) mod (2 + 2)) + 1)) + 1)
A095691: 1 1 1 2 1 1 1 3 2 1 1 2 1 1 1 3
(((((2 + 2) + 1) mod ((x mod ((2 + 2) + 1)) + 1)) * ((2 + 2) + 1)) + 1)
A134012: 1 6 11 6 1 1 6 11 6 1 1 6 11 6 1 1
(2 div (((((2 - ((x div 2) mod 2)) * (x + 1)) - 1) mod ((2 + 2) + 1)) + 1))
A029391: 1 0 0 0 0 1 1 0 0 0 2 1 2 0 0 2
(((((x * 2) * (x + 1)) * (((2 + 1) * 2) + 1)) div ((2 + 2) + 1)) + 1)
A301719: 1 6 17 34 57 85 118 157 202 253 309 370 437 510 589 673
(((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) * ((2 + 2) + 1)) + 1)
A122762: 1 1 1 1 1 1 1 1 1 1 6 6 11 11 21 26
(((((((x * x) * x) * (x * x)) div 2) div (2 + 1)) div ((2 + 2) + 1)) - 1)
A131211: ~1 ~1 0 7 33 103 258 559 1091 1967 3332 5367 8293 12375 17926 25311
((x div ((2 + 2) + 1)) div ((((1 - x) * (x - 1)) mod ((2 + 2) + 1)) + 1))
A036851-A036850: 0 0 0 0 0 0 1 0 0 0 0 2 0 1 1 0
((((x - 2) * x) * (x - 1)) div ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A011911: 0 0 0 0 0 2 4 7 11 17 24 34 45 59 75 94
((((x * x) * x) * (x * x)) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070613: 0 1 3 11 9 22 4 16 27 5 8 14 12 6 19 10
((((((x div 2) - (x mod 2)) * ((x div 2) + 1)) div 2) div ((2 + 2) + 1)) + 1)
A029162: 1 0 1 1 1 1 2 1 3 2 4 3 5 4 6 5
((((((((x div 2) + x) div 2) + 1) * (x + 1)) div 2) div ((2 + 2) + 1)) + 1)
A029034: 1 1 1 2 3 3 4 5 7 8 9 11 14 15 17 20
((x * x) div (((((((x + 1) div 2) div 2) + 2) * 2) * ((2 + 2) + 1)) - 1))
A119789: 0 0 0 0 0 0 1 1 1 2 2 2 2 3 4 3
(2 div ((((((x - 2) * x) div ((2 + 2) * 2)) + 2) mod ((2 + 2) + 1)) + 1))
A249344: 0 1 0 0 0 0 2 1 0 0 0 0 0 0 0 1
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070624: 0 1 32 38 40 9 27 38 9 9 1 3 3 38 27 14
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070622: 0 1 32 9 10 5 15 37 8 3 4 20 12 13 14 6
(((x div ((2 + 2) * 2)) + 1) div ((((0 - x) * 2) mod ((2 + 2) + 1)) + 1))
A025895: 1 0 0 0 0 1 0 0 0 0 2 0 1 0 0 2
(((x * 2) - ((((x mod ((2 + 2) + 1)) + x) * 2) div ((2 + 2) + 1))) + 1)
A047427: 1 3 4 5 6 9 11 12 13 14 17 19 20 21 22 25
(((x * 2) - (((((x div 2) + 1) mod (2 + 1)) + x) div ((2 + 2) + 1))) + 1)
A187574: 1 3 5 6 9 10 12 14 15 17 19 21 23 25 26 28
(((2 + 2) + 1) mod ((((((x + 1) div 2) div 2) * x) mod ((2 + 2) + 1)) + 1))
A344986: 0 0 0 1 0 0 1 0 1 1 0 1 1 0 2 0
(((((((1 - (x div 2)) mod (x + 2)) div 2) div 2) + x) mod ((2 + 2) + 1)) + 1)
A338493-A280053: 1 2 3 4 1 2 3 4 5 2 3 4 5 1 2 3
((((((x + 2) + 2) + 1) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) + 1)
A282110: 26 31 36 41 46 52 57 62 67 72 78 83 88 93 98 104
((((((x + 1) * x) div 2) div ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) + 1)
A085717: 1 1 1 2 3 5 6 7 9 11 14 16 18 21 24 28
(((x + 1) div 2) - ((1 - (x div (2 + 1))) mod ((x div ((2 + 2) + 1)) + 1)))
A048475: 0 1 1 2 2 3 2 3 3 5 4 5 6 7 7 8
((x * 2) - (((1 - x) div ((x div 2) + 2)) - ((x div ((2 + 2) + 1)) + 1)))
A190325-A189937: 1 3 6 8 10 13 15 18 20 22 25 27 29 31 33 36
(((((x + 1) div ((2 + 2) + 1)) * 2) + x) + ((x div ((2 + 2) + 1)) + 1))
A047548: 1 2 3 4 7 9 10 11 12 15 17 18 19 20 23 25
(((2 div (((2 + 2) * 2) - (x div 2))) + x) + ((x div ((2 + 2) + 1)) + 1))
A174905-A129511-A060683: 1 2 3 4 5 7 8 9 10 11 13 14 16 17 19 21
(((x div ((2 + 2) * 2)) + 1) div ((((0 - x) * x) mod ((2 + 2) + 1)) + 1))
A029407: 1 0 0 0 0 1 0 0 1 0 2 0 1 1 0 2
((((((x * x) + 1) * ((x + 2) + 1)) - 1) mod ((x div (2 + 2)) + 1)) + 1)
A231568: 1 1 1 1 1 2 1 2 1 3 2 1 3 4 1 4
(((x - ((x + 2) div (((2 + 1) * 2) + 1))) mod ((x div (2 + 2)) + 1)) + 1)
A243732: 1 1 1 1 1 1 2 1 2 3 1 2 3 4 1 2
((((((x mod (2 + 2)) * 2) - (x mod 2)) + 1) mod ((x div (2 + 2)) + 1)) + 1)
A249718-A249717: 1 1 1 1 2 1 2 1 2 3 3 1 2 3 2 3
(((((x - 1) * 2) div ((x div (2 + 1)) + 2)) mod ((x div (2 + 2)) + 1)) + 1)
A145515: 1 1 1 1 1 1 1 2 1 1 1 2 4 1 1 1
(1 - ((x div 2) mod ((((x mod (2 + 1)) + 1) mod ((x mod (2 + 2)) + 1)) + 1)))
A339885: 1 1 1 0 1 1 0 1 1 1 ~1 0 1 1 1 0
((x div ((((1 - x) mod ((2 + 1) * 2)) + 2) * ((x mod (2 + 2)) + 1))) + 1)
A227578-A181783: 1 1 1 1 1 1 1 1 2 1 1 1 5 4 1 1
((((x + 1) * 2) - (((x * x) div (2 + 1)) div (((x + 2) + 2) + 1))) + 1)
A248564: 3 5 7 9 11 13 14 16 18 20 21 23 25 26 28 30
(((x * 2) - (((((x div 2) + x) * x) div 2) div (((x + 2) + 2) + 1))) + 1)
A171508: 1 3 5 7 8 10 11 13 14 15 16 18 19 21 22 23
(((((x + 1) mod ((((x - 1) mod (2 + 2)) * 2) - 1)) + 1) mod (2 + 1)) - 1)
A307423: 1 0 0 1 0 0 0 ~1 1 0 0 0 0 0 0 1
(((((1 - (x * 2)) mod (((x div (2 + 2)) + 2) + 1)) + 1) div (2 + 1)) + 1)
A344772: 1 2 1 1 1 2 1 2 1 2 1 2 1 3 2 1
(x - (((((x div 2) * 2) div (((x - 1) mod (2 + 1)) + 1)) mod (2 + 1)) - 1))
A157887: 1 2 2 4 4 4 5 8 8 8
(x - ((((x mod (((2 - x) div 2) - (x mod (2 + 1)))) + 1) mod (2 + 1)) - 1))
A273862: 0 1 2 3 4 5 6 8 7 9 10 11 12 14 13 15
(((x - (((((x + 1) div (2 + 1)) mod (2 + 1)) div 2) - 1)) mod (2 + 1)) + 1)
A131989: 2 3 1 2 3 3 1 2 1 2 3 1 2 3 3 1
(((x - ((((((x - 1) div 2) div 2) mod (2 + 1)) mod 2) - 1)) mod (2 + 1)) + 1)
A305390: 2 3 1 2 3 3 1 2 3 2 3 1 2 3 1 2
(x - ((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)))
A338228: 0 1 2 2 4 5 6 6 7 9 10 10 12 13 14 13
(((((x - (x mod (2 + 1))) * x) mod (((2 + 1) * 2) + 1)) div (2 + 1)) + 1)
A070879: 1 1 1 1 2 1 1 1 3 2 3 1 2 1 1 1
((((((((x * x) + 2) * 2) div ((x + 2) + 1)) * 2) + 1) div (2 + 1)) - 1)
A260816: 0 0 0 1 2 3 4 6 7 8 9 10 12 13 14 16
(((((x - (2 + 2)) mod (2 - (x div ((0 - 2) - 2)))) + 1) div (2 + 1)) + 1)
A278161: 1 1 1 2 1 1 2 2 1 1 1 2 2 2 2 3
(((x - (1 div (((x mod (((2 + 2) + 1) * 2)) * 2) - 1))) mod (2 + 1)) + 1)
A105497: 2 1 3 1 2 3 1 2 3 1 3 2 1 2 3 1
(((((x + 2) * x) mod ((((x div (2 + 1)) + 2) * 2) + 1)) mod (2 + 1)) + 1)
A237983: 1 1 1 2 1 1 1 1 3 1 2 1 1 1 1 1
(((x mod (((((2 - x) mod ((x div 2) + 2)) div 2) * 2) + 1)) mod (2 + 1)) + 1)
A327659-A327519: 1 1 1 1 2 1 1 1 1 2 1 2 3 1 1 1
(((x - (((2 - (x div ((2 + 2) + 1))) mod (2 + 2)) - 1)) mod (2 + 1)) - 1)
A085241: 1 ~1 0 1 ~1 1 ~1 0 1 ~1 1 ~1 0 1 ~1 0
((((0 - (((x mod 2) * x) div (2 + 1))) mod ((2 + 2) + 1)) mod (2 + 1)) + 1)
A175023: 1 1 1 2 1 2 1 1 1 3 1 3 1 2 1 1
((x - ((((x div 2) - ((x + 1) * 2)) div ((2 + 2) + 1)) * (2 + 1))) + 1)
A070751: 4 5 6 10 11 12 16 17 18 22 23 24 25 29 30 31
((x + 1) mod (((((x div 2) mod 2) - (x div ((2 + 2) + 1))) mod (2 + 1)) + 1))
A138954: 0 0 1 0 0 0 0 0 0 1 2 0 1 0 0 0
(((x + 1) div 2) mod (((2 - (x - (x div ((2 + 2) + 1)))) mod (2 + 1)) + 1))
A323591: 0 1 0 2 0 1 0 1 0 0 0 0 0 0 1 2
((((2 + 2) * (x + 1)) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) - 1)
A059568-A003512: 3 7 11 14 18 22 26 29 33 37 41 44 48 52 55 59
((((x * x) div 2) * x) div (((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1))
A331444: 0 0 0 0 0 0 1 2 3 4 6 9 11 14 18 23
((((x * x) * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070620: 0 1 32 21 25 17 6 9 23 34 26 27 7 35 29 24
((((x * x) * x) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A070618: 0 1 32 33 9 10 6 7 8 4 5 16 17 13 14 15
((x - ((((x - (x div (2 + 2))) div 2) - ((x * 2) + 1)) * (2 + 1))) + 1)
A190509: 4 11 15 22 29 33 40 44 51 58 62 69 76 80 87 91
(((((x - ((1 - (x * 2)) * 2)) * x) * ((x * 2) - 1)) div (2 + 1)) + 1)
A034721: 1 2 17 66 169 346 617 1002 1521 2194 3041 4082 5337 6826 8569 10586
(((((x * x) div ((((2 + 2) * 2) * (2 + 1)) - x)) + 1) div (2 + 1)) + 1)
A274159: 1 1 1 1 1 1 2 2 2 3 3 4 5 6 7 9
((x + 2) div ((x - (((((x * x) div (2 + 2)) - x) - 1) div (2 + 1))) + 1))
A274165: 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 5
(((1 - (((x * 2) mod (((2 + 2) * 2) + 1)) mod (x + 1))) div (2 + 1)) + 1)
A237621: 1 1 1 0 0 1 0 ~1 ~1 1 0 0 ~1 ~2 1 0
(((((x mod 2) - (((x + 2) * x) div (0 - 2))) * (x + 1)) div (2 + 1)) + 1)
A168388: 1 3 5 13 21 39 57 89 121 171 221 293 365 463 561 689
((((((((x + 1) * 2) * (x + 1)) + 1) * 2) * (x + 1)) div (2 + 1)) + 1)
A166911: 3 13 39 89 171 293 463 689 979 1341 1783 2313 2939 3669 4511 5473
((((x * 2) - (x mod ((2 + 1) * 2))) + 1) mod (((x + 1) div (2 + 1)) + 1))
A343713: 0 0 1 0 1 0 1 2 3 0 1 3 0 1 3 4
(((((x - (x mod (2 + 1))) div 2) * 2) + 1) div (((x + 1) div (2 + 1)) + 1))
A025126: 1 1 0 1 1 1 2 2 1 2 2 1 2 2 2 2
(((((x mod 2) - (x div 2)) div 2) + (x * 2)) + (((x + 1) div (2 + 1)) + 1))
A097911: 1 3 5 8
A211703: 1 3 5 8 9 12 13 16 18 20 21 25 26 28 30 33
((((x * 2) - 1) * x) - (((((x - 2) * x) * (x - 1)) div (2 + 1)) - 1))
A161702: 1 2 7 14 21 26 27 22 9 ~14 ~49 ~98 ~163 ~246 ~349 ~474
(((((((x mod 2) + x) * 2) * (x + 1)) * ((x * x) + 1)) div (2 + 1)) + 1)
A060843: 1 6 21 107
((((x + 2) * 2) - ((((x div (2 + 2)) + x) div (0 - 2)) * (2 + 1))) + 1)
A285683: 5 10 12 17 22 24 29 31 36 41 43 48 53 55 60 62
((((x - ((0 - 2) mod ((x div ((2 + 2) + 1)) + 1))) * 2) div (2 + 1)) + 1)
A284724: 1 1 2 3 3 4 5 5 6 7 7 7 8 9 9 9
((((((((x div (2 + 2)) + x) + 1) * (2 + 1)) + 1) * 2) * (2 + 1)) - 1)
A301623: 23 41 59 77 113 131 149 167 203 221 239 257 293 311 329 347
((((((x - (x div ((0 - 2) - 2))) * (2 + 1)) + 1) * 2) * (2 + 1)) + 1)
A301628: 7 43 61 79 97 133 151 169 187 223 241 259 277 313 331 349
(((((x + 1) * x) mod ((((2 + 2) * (2 + 1)) - 1) * 2)) mod (2 + 1)) + 1)
A080426: 1 3 1 1 3 3 3 1 1 3 1 1 3 1 1 3
(((((2 - (x mod (2 + 2))) mod ((x div (2 + 1)) + 1)) + 2) div (2 + 1)) + 1)
A316112: 1 1 1 2 1 2 1 2 2 2 1 2 2 2 1 3
((((1 - (x div ((x div ((2 + 2) * (0 - 2))) - 1))) * 2) div (2 + 1)) + 1)
A316847: 1 2 2 3 3 3 3 4 4 3 4 4 4 5 5 5
(((((((x - ((x div 2) mod (2 + 2))) div 2) * 2) + 1) * 2) div (2 + 1)) + 1)
A295084: 1 1 1 3 3 3 3 4 7 7 7 8 8 8 8 9
((((x - (((x + 2) div (1 - ((2 + 2) * 2))) - 1)) * 2) * (2 + 1)) + 1)
A227092: 13 19 25 31 37 43 55 61 67 73 79 85 91 103 109 115
(((((x + 1) div ((x div ((x div (2 + 2)) + 2)) + 1)) * 2) div (2 + 1)) + 1)
A328806: 1 2 1 2 2 3 2 2 3 3 3 3 3 3 4 3
((((((x div 2) - (((2 - (x div 2)) div 2) div 2)) + 1) * 2) * (2 + 1)) + 1)
A335895: 7 7 13 13 19 19 31 31 37 37 43 43 49 49 61 61
(((((x * 2) + 1) mod (((x * 2) div ((2 + 2) + 1)) + 2)) div (2 + 1)) + 1)
A338648: 1 1 1 1 1 2 1 2 1 2 2 2 1 3 1 3
((x div (((((x div (2 + 2)) * (x - 1)) mod (2 + 1)) + 2) * (2 + 1))) + 1)
A055184: 1 1 1 1 1 1 1 2 1 2 2 1 3 3 3 3
(((((2 + 1) * x) * (2 + 1)) + 1) * ((((2 + 1) * 2) * (2 + 1)) + 1))
A139619: 19 190 361 532 703 874 1045 1216 1387 1558 1729 1900 2071 2242 2413 2584
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070642: 0 1 7 7 11 7 11 1 1 11 11 1 1 11 7 11
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 + 1)) + 1)
A204028: 1 1 1 1 4 1 1 4 4 1 1 4 7 4 1 1
((((((((x + 2) * x) * (x + 1)) div 2) * (x + 1)) div 2) div (2 + 1)) + 1)
A079034: 1 2 7 21 51 106 197 337 541 826 1211 1717 2367 3186 4201 5441
(x - (((((x - (x div (2 + 2))) div 2) - ((x + 1) * 2)) * (2 + 1)) + 1))
A342089: 5 12 16 23 30 34 41 45 52 59 63 70 77 81 88 92
(((((x div 2) + x) div ((2 + 2) * 2)) + (((x + 1) * 2) * (2 + 1))) + 1)
A184521: 7 13 19 25 31 37 44 50 56 62 68 75 81 87 93 99
((((((x * 2) * 2) div (x + 2)) + x) + (((x + 1) div 2) div (2 + 1))) + 1)
A333228-A291166: 1 3 5 6 7 9 11 12 13 14 15 17 18 19 20 21
((((((x + 2) * 2) - (x div ((2 + 2) * (0 - 2)))) * 2) div (2 + 1)) + 1)
A134407: 3 5 7 8 9 11 12 13 15 17 18 19 21 22 23 25
((((((((x + 1) * x) * ((2 + 2) + 1)) + 1) * 2) * 2) * (2 + 1)) + 1)
A332243: 13 133 373 733 1213 1813 2533 3373 4333 5413 6613 7933 9373 10933 12613 14413
((((x div ((((1 - x) * 2) mod ((2 + 2) + 1)) + 2)) + 2) div (2 + 1)) + 1)
A194824: 1 1 1 2 1 2 2 2 2 2 2 3 2 3 2 2
(((((((((x + 2) * 2) + (x div 2)) * 2) + 1) * 2) * 2) * (2 + 1)) + 1)
A283792: 109 157 229
((((((x - ((2 - x) div (2 + 2))) * (2 + 1)) + 2) * 2) * (2 + 1)) - 1)
A301621: 11 29 47 83 101 119 137 173 191 209 227 263 281 299 317 353
(x - (((x * x) div ((((((x div 2) + x) + 1) div 2) * 2) + (2 + 1))) - 1))
A060020: 1 2 3 3 4 4 5 5 5 6 6 6 7 7 8 7
(((((((((2 + 2) + 1) * x) + 2) * (x + 1)) div 2) + 2) * (2 + 1)) - 1)
A129111: 8 26 59 107 170 248 341 449 572 710 863 1031 1214 1412 1625 1853
((((x + 1) mod (((((x * x) div 2) mod (x + 1)) div 2) + 2)) mod (2 + 1)) + 1)
A160267: 2 1 1 1 3 1 1 1 2 1 2 1 1 1 1 1
(((((x - ((x mod (((2 + 2) * 2) + 1)) div 2)) div 2) * 2) div (2 + 1)) + 1)
A029121: 1 1 1 1 1 1 1 2 2 3 4 4 4 4 5 5
((((((((x * 2) div (2 + 1)) * (x + 1)) div 2) div 2) + 2) div (2 + 1)) + 1)
A029044: 1 1 1 2 2 3 4 4 5 6 7 8 10 11 12 15
((((((((x div 2) div (2 + 1)) * (x - 1)) div 2) div 2) * 2) div (2 + 1)) + 1)
A032578: 1 1 1 1 1 1 1 1 1 2 2 2 4 5 5 5
((0 - x) mod ((((((((x + 1) div 2) div 2) div 2) * 2) * 2) * (2 + 1)) + 1))
A249347: 0 0 0 0 0 0 0 6 5 4 3 2 1 0 12 10
(((x + 1) div (((((x + 2) + 1) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + 1)
A341149: 1 1 1 1 1 2 1 1 1 1 1 1 1 3 2 2
((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * (2 + 1)) + 1))
A167527: 0 1 32 47 44 38 34 0 36 4 40 37 10 20 0 22
((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070630: 0 1 32 8 37 23 21 28 9 17 31 29 14 40 3 43
((((x mod 2) - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (2 + 1)) + 1)
A124744: 1 0 1 0 0 1 0 0 ~1 1 0 0 0 ~1 1 0
(((x - ((((x * 2) * 2) div (((x div 2) + 2) + 2)) * 2)) div (2 + 1)) + 1)
A029243: 1 0 1 0 1 0 1 0 1 1 1 2 2 2 2 2
((((x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) + 2) div (2 + 1)) + 1)
A140223: 1 1 2 1 2 2 1 2 2 3 1 2 2 2 3 1
(((((x * 2) - (x mod ((2 + 2) + 1))) mod ((2 + 2) * 2)) div (2 + 1)) + 1)
A316841: 1 1 1 2 2 1 2 2 2 3 2 2 3 3 1 3
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070648: 0 1 14 4 21 0 6 24 19 16 0 11 9 9 11 0
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070646: 0 1 18 16 2 8 12 4 13 3 6 9 9 6 3 13
((((x + 2) * (x + 2)) div (1 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1)
A266751: 1 1 1 2 2 3 4 5 6 8 10 13 16 19 24 29
((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1)
A288001-A288000-A287998-A280664-A092833-A034320-A034150-A034149-A034148-A034147-A034146-A034145-A000009: 1 1 1 2 2 3 4 5 6 8 10 12 15 18 22 27
(((((x * 2) * 2) * 2) - (((x - (x div (2 + 2))) div 2) * (2 + 1))) + 1)
A151915: 1 9 14 22 30 35 43 48 56 64 69 77 85 90 98 103
(((((x - ((1 mod (1 - (x * 2))) div (x + 2))) * 2) * 2) div (2 + 1)) + 1)
A014528: 1 2 5 6 7 10 11 13 14 15 17 18 19 21 22 23
(((((x * x) + 2) * x) + 1) div (((((x + 2) + 2) + 2) * (2 + 1)) + 1))
A346311: 0 0 0 1 2 4 6 8 12 16 20 26
((((((x div (2 + 1)) * (x * x)) div ((x + 2) + 2)) + 2) div (2 + 1)) + 1)
A272397: 1 1 1 2 2 2 4 4 5 7 8 9 13 14 16 21
((x - ((x div (1 - ((2 + 2) * (2 + 1)))) - ((2 + 2) * (2 + 1)))) - 1)
A043700-A043645: 11 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28
((((2 + 2) * 2) + x) - (((x + 1) * 2) mod (((2 + 2) * (2 + 1)) + 1)))
A226293: 6 5 4 3 2 1 13 12 11 10 9 8 20 19 18 17
((((x + 1) div 2) * ((x div 2) + 1)) - (x div (((2 + 2) * (2 + 1)) + 1)))
A194254-A194164: 0 1 2 4 6 9 12 16 20 25 30 36 42 48 55 63
(((((x * x) * x) * (x * x)) * (x * x)) mod (((2 + 2) * (2 + 1)) + 1))
A070695: 0 1 11 3 4 8 7 6 5 9 10 2 12 0 1 11
((((x + 1) * x) div 2) - (((x * x) + 2) div (((2 + 2) * (2 + 1)) - 1)))
A129230: 0 1 3 5 9 13 18 24 30 38 46 55 65 76 87 100
(((((x * x) * x) * (x * x)) * (x * x)) mod (((2 + 2) * (2 + 1)) - 1))
A070693: 0 1 7 9 5 3 8 6 2 4 10 0 1 7 9 5
(1 div (2 - ((((x * x) * x) * (x * x)) mod (((2 + 2) * (2 + 1)) - 1))))
A011582: 0 1 ~1 1 1 1 ~1 ~1 ~1 1 ~1 0 1 ~1 1 1
((((x - 1) * x) div 2) - (x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))))
A033443: 0 0 1 3 6 10 15 21 28 36 45 55 65 76 88 101
(((((x div (((2 + 2) * (2 + 1)) + 1)) + x) * (2 + 2)) div (2 + 1)) + 1)
A083347: 1 2 3 5 6 7 9 10 11 13 14 15 17 19 21 22
(((((((x div 2) + x) div ((2 + 2) * 2)) + x) * (2 + 2)) div (2 + 1)) + 1)
A103841: 1 2 3 5 6 7 10 11 13 14 15 18 19 21 22 23
((((((((x + 1) * x) div ((2 + 2) + 1)) + x) div 2) * 2) div (2 + 1)) + 1)
A062491: 1 1 1 2 3 4 5 7 8 9 11 13 15 17 19 21
(((x * 2) - ((((((2 - x) div (2 + 2)) - x) div 2) * 2) div (2 + 1))) + 1)
A231407: 1 4 6
A189532: 1 4 6 9 11 13 16 19 21 23 25 28 31 33 35 38
((((((((((x + 2) + 2) + 2) * x) + 2) * x) * 2) * 2) div (2 + 1)) + 1)
A274974: 1 13 49 117 225 381 593 869 1217 1645 2161 2773 3489 4317 5265 6341
((x div (2 + 2)) div (((((x div (2 + 2)) * (x + 2)) + 2) mod (2 + 1)) + 1))
A056175: 0 0 0 0 0 1 0 0 1 2 0 1 1 1 1 1
((((((x * x) * x) * ((x * 2) + 1)) mod ((x + 2) + 2)) mod (2 + 1)) + 1)
A343026: 1 1 2 1 1 2 3 3 2 1 1 2 1 1 2 3
(((((((((x + 2) * 2) * 2) - 1) * x) * (x + 2)) div 2) div (2 + 1)) + 1)
A213388: 1 6 21 48 93 158 249 368 521 710 941 1216 1541 1918 2353 2848
(((x * 2) - ((((x div (((2 + 1) * 2) + 1)) - x) * 2) div (2 + 1))) + 1)
A189367: 1 4 7 9 12 15 17 19 22 25 27 30 33 35 37 40
(((x - (((1 - x) * x) div (((x div (2 + 1)) + x) + 2))) * (2 + 1)) + 1)
A143804: 1 4 10 13 19 25 28 34 40 46 49 55 61 67 73 76
((((x * x) * (x + 2)) - (((((x * x) - 1) * x) div 2) div (2 + 1))) + 1)
A114211: 1 4 16 42 87 156 254 386 557 772 1036 1354 1731 2172 2682 3266
((((x + 1) div 2) + 1) mod (((((2 - (x div 2)) * x) div 2) mod (2 + 1)) + 1))
A081221: 0 0 0 1 0 0 0 2 1 0 0 1 0 0 0 1
((((((x + 2) * 2) + x) * (x + 1)) div 2) * (((x + 2) * (2 + 1)) - 1))
A228888: 10 56 165 364 680 1140 1771 2600 3654 4960 6545 8436 10660 13244 16215 19600
((((x div ((2 + 2) * 2)) - (x mod 2)) + 1) div (((x * 2) mod (2 + 1)) + 1))
A029425: 1 0 0 0 0 0 1 0 1 1 0 0 2 0 1 1
((x * 2) - (((((x div ((0 - 2) - 2)) mod 2) + (x div 2)) div (2 + 1)) - 1))
A187224: 1 3 5 7 8 11 12 14 16 18 19 21 23 25 27 29
(((x * 2) - (((((x - 2) * x) div ((2 + 2) + 1)) - x) div (2 + 1))) + 1)
A231407: 1 4 6
A078941: 1 4 6 8 10 12 14 15 17 18 19 21
(x - (((1 - (((x div ((2 + 2) + 1)) mod (2 + 1)) + x)) div (2 + 1)) - 1))
A039032: 1 2 4 5 6 8 9 11 12 13 15 16 18 19 20 21
(((((2 + 2) * 2) * (x + 1)) + x) * ((((2 + 1) * x) * (2 + 1)) + 1))
A001534: 8 170 494 980 1628 2438 3410 4544 5840 7298 8918 10700 12644 14750 17018 19448
((((x - 1) mod ((x div 2) + 2)) div 2) + (x - (((1 - x) div (2 + 1)) - 1)))
A260399: 1 2 4 6 7 8 9 10 12 14 15 17 18 20 22 23
((2 - (((x * x) + 2) mod ((2 + 2) + 1))) * (((1 - x) mod (2 + 1)) - 1))
A316569: 0 1 1 0 1 0 0 ~1 1 0 0 ~1 0 ~1 ~1 0
(((((((x * x) div (2 + 2)) div ((x + 2) + 1)) mod 2) + x) mod (2 + 1)) + 1)
A059832: 1 2 3 1 2 3 2 3 1 2 3 3 1 2 3 2
(((((((x div 2) + (x * 2)) * ((x div 2) + 1)) div 2) + x) div (2 + 1)) + 1)
A008368: 1 1 3 4 7 8 13 14 20 22 29 31 40
A023054: 1 1 3 4 7 8 13 14 20 22 29 31 40 42 52 55
(((x - ((x * x) mod (1 - ((((2 + 2) * 2) * 2) + x)))) mod (2 + 1)) + 1)
A088426: 1 2 1 1 2 3 1 1 2 1 2 3 1 2 1 1
((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div (2 + 1)) + 1)
A046688: 1 1 1 1 2 1 1 3 3 1 1 4 5 5 1 1
(1 - ((2 - x) mod ((((((x div 2) * (x div 2)) div 2) + x) mod (2 + 1)) + 1)))
A330262: 1 0 1 1 1 0 1 0 1 ~1 1 1 1 0 1 1
(((x + 1) div ((((x div 2) mod ((2 + 2) + 1)) + 1) + (x div (2 + 1)))) - 1)
A268643: 0 1 0 0 0 0 0 0 0 0 1 2 1 1 1 1
((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * (x div (2 + 1))) + 1)
A341033-A293012: 1 1 1 1 1 1 1 1 3 1 1 1 5 13 1 1
(((x + 2) * 2) - ((x * x) div ((((x + 2) + 2) + (x div (2 + 1))) + 1)))
A121150: 4 6 8 9 11 12 14 15 16 18 19 20 22 23 24 25
(((((x * x) * (2 + 1)) div ((2 + 2) + 1)) + 1) mod ((x div (2 + 1)) + 1))
A034395: 0 0 0 0 0 0 1 0 0 1 1 1 2 2 3 4
(1 - (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) div ((x div (2 + 1)) + 1)))
A256983: 1 ~1 1 0 0 1 1 0 0 1 1 0 1 0 1 1
(((1 - (((x + 1) * x) mod (2 + 1))) * (x + 2)) - ((x div (2 + 1)) + 1))
A138187: 1 ~4 3 3 ~8 5 5 ~12 7 7 ~16 9 9 ~20 11 11
(((((x div ((2 + 2) * 2)) + x) * (2 + 1)) + x) + ((x div (2 + 1)) + 1))
A287243: 1 5 9 14 18 22 27 31 38 43 47 51 56 60 64 69
((1 - (x div (((x div (1 - ((2 + 2) * 2))) - 1) - (x mod (2 + 1))))) - 1)
A232615: 0 1 1 2 2 2 3 3 2 3 3 3 4 4 3 4
(1 - ((x + 1) mod (((x - 1) mod (((2 + 1) * 2) - (x mod (2 + 1)))) + 1)))
A109017: 0 1 0 0 0 1 0 1 0 0 0 1 0 ~1 0 0
(x div ((((x mod 2) - (x div ((0 - 2) - 1))) + 1) * ((x mod (2 + 1)) + 1)))
A325334: 0 0 0 1 0 0 2 0 0 1 1 0 2 0 0 2
((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + 1) div ((x mod (2 + 1)) + 1))
A029296: 1 0 0 1 0 0 2 1 0 2 1 0 4 2 1 4
((x + 1) div ((((((x mod 2) + 2) * x) * (2 + 1)) div ((x + 2) + 1)) + 1))
A053279: 1 0 1 0 1 1 1 1 1 1 2 1 2 1 3 2
(((x * 2) - (((((x * x) div (2 + 1)) - x) * 2) div ((x + 2) + 1))) + 1)
A231407: 1 4 6
A186497: 1 4 6 7 9 11 12 14 15 16 18 19 21 22 23 25
(((((((x div (2 + 1)) mod (2 + 1)) + x) * x) div 2) div ((x + 2) + 1)) + 1)
A006949: 1 1 1 2 2 2 3 4 4 4 4 5 6 6 7 8
(((((((((2 + 2) * 2) + x) + 2) * 2) + 1) * 2) * ((x * 2) + 1)) + 1)
A086760: 43 139 251 379 523 683 859 1051 1259 1483 1723 1979 2251 2539 2843 3163
((x mod ((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * (x div 2)) - 1)) + 1)
A220632-A125653-A104445: 1 1 1 1 1 1 1 2 1 1 1 4 3 1 1 1
((((2 mod ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1) mod ((x div 2) + 1)) + 1)
A060594: 1 1 2 2 2 2 2 4 2 2 2 4 2 2 4 4
(((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 1)) mod ((x div 2) + 1)) + 1)
A244327: 1 1 1 1 2 1 3 2 3 3 5 2 6 4 5 4
(((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) mod ((x div 2) + 1)) + 1)
A135517: 1 1 1 2 1 2 1 4 1 2 1 4 1 2 1 8
((((x - 2) - (1 - ((x div 2) mod ((2 + 2) + 1)))) mod ((x div 2) + 1)) + 1)
A086742-A082854: 1 1 1 2 1 2 3 4 5 1 2 3 4 5 6 7
(x - ((x mod (((((x div ((2 + 2) + 1)) mod 2) * 2) + (x mod 2)) + 1)) - 1))
A226482: 1 1 3 3 5 5 7 5 7 9 11 11 13 13 15 13
((((((x + 1) * x) + 2) * ((2 + 2) + 1)) * (((x + 1) * x) + 1)) + 1)
A115565: 11 61 281 911 2311 4961 9461 16531 27011 41861 62161 89111 124031 168361 223661 291611
(((x * x) div ((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + x) + 1)) + 1)
A006163: 1 1 2 3 4 5 5 6 7 8 9 10 10 10 11 12
((((((x * 2) * (2 + 1)) * (2 + 1)) + 1) * (((x + 2) * x) + 1)) + 1)
A338588: 2 77 334 881 1826 3277 5342 8129 11746 16301 21902 28657 36674 46061 56926 69377
(((((((2 + 2) * 2) * (2 + 1)) - 1) * 2) * (((x + 2) * x) + 1)) - 1)
A158634: 45 183 413 735 1149 1655 2253 2943 3725 4599 5565 6623 7773 9015 10349 11775
((((((((2 + 2) * 2) * 2) * 2) + 1) * 2) * (((x + 2) * x) + 1)) - 1)
A158693: 65 263 593 1055 1649 2375 3233 4223 5345 6599 7985 9503 11153 12935 14849 16895
((((((((2 + 2) * 2) * 2) * 2) - 1) * 2) * (((x + 2) * x) + 1)) - 1)
A158680: 61 247 557 991 1549 2231 3037 3967 5021 6199 7501 8927 10477 12151 13949 15871
(compr(\x.(1 - (x mod ((x mod ((((x mod 2) + 2) + 2) + 1)) + 1))),(x + 1)) + 1)
A299114: 3 4 5 6 8 10
A121540: 3 4 5 6 8 10 12 14 15 16 18 19 20 22 23 24
(x - ((((x mod (((2 + 1) * 2) + (x div (2 + 1)))) + 1) mod (x + 1)) - 1))
A328307: 1 2 3 4 5 6 7 8 8 9 9 9 10 10 10 11
((((((x + 2) div (((x + 1) mod (2 + 1)) + 1)) mod 2) + 1) mod (x + 1)) + 1)
A071215: 1 1 2 2 2 3 2 3 2 3 2 3 3 3 2 2
(((x - (((2 - x) * (x * 2)) div (((2 + 1) * 2) + 1))) mod (x + 1)) + 1)
A194752: 1 2 3 1 3 5 7 2 5 8 1 5 9 13 3 8
((((((x - ((x div (2 + 1)) mod (2 + 1))) mod 2) * 2) + 1) mod (x + 1)) + 1)
A329586: 1 2 2 2 4 2 2 4 2 4 2 4 4 2 4 4
((((((((x - 2) * x) mod ((x div 2) + 2)) mod 2) * 2) + 1) mod (x + 1)) + 1)
A277561: 1 2 2 2 2 4 2 2 2 4 4 4 2 4 2 2
((((((((x * x) * (2 + 1)) - x) div 2) div (2 + 2)) - 1) mod (x + 1)) + 1)
A019588: 1 2 1 3 5 2 5 1 5 9 3 8 13 5 11 2
((((((x * x) * (x * x)) + 1) * x) * (((x * x) + 1) * (x + 1))) + 1)
A102909: 1 9 511 9841 87381 488281 2015539 6725601 19173961 48427561 111111111 235794769 469070941 883708281 1589311291 2745954241
(((((((x * x) * x) mod (((2 + 1) * 2) + 1)) + 1) + 2) mod (x + 1)) + 1)
A275381: 1 1 2 2 5 4 3 4 5
((((x + 1) * 2) * ((2 + 2) + 1)) * ((((x + 1) * 2) * (x + 1)) + 1))
A068236: 30 180 570 1320 2550 4380 6930 10320 14670 20100 26730 34680 44070 55020 67650 82080
(((((((((x * 2) * 2) + 1) * (x + 1)) + 1) * 2) * 2) * (x + 1)) - 1)
A254473: 7 87 335 847 1719 3047 4927 7455 10727 14839 19887 25967 33175 41607 51359 62527
(compr(\x.((x mod ((0 - (x mod (((2 + 1) * 2) + 1))) - 2)) mod 2),(x + 1)) + 1)
A054010: 2 3 4 5 6 7 11 13 15 16 17 19 20 21 23 27
(x div (((x - (((x * x) - 1) mod (((2 + 2) * 2) * 2))) mod (x + 1)) + 1))
A225089: 0 0 0 0 0 1 1 0 2 0 1 2 1 2 1 0
((((((x * 2) + 1) * 2) * 2) + 1) * ((((2 + 2) * 2) * (x + 1)) + 1))
A146302: 45 221 525 957 1517 2205 3021 3965 5037 6237 7565 9021 10605 12317 14157 16125
((((((x * 2) * 2) + 1) * 2) + 1) * ((((2 + 2) * 2) * (x + 1)) - 1))
A146301: 21 165 437 837 1365 2021 2805 3717 4757 5925 7221 8645 10197 11877 13685 15621
((((1 - ((((x * x) * (2 + 1)) - x) div (2 + 2))) div 2) mod (x + 1)) + 1)
A019587: 1 1 3 2 1 5 3 8 5 2 9 5 1 10 5 15
((((x - (((x div 2) + x) div (2 + 2))) div 2) + ((2 + 2) * (x + 1))) - 1)
A184483: 3 7 12 16 20 25 29 33 37 42 46 50 55 59 63 68
((((((2 + 1) * x) + 2) * (2 + 1)) + 1) * (((2 + 2) * (x + 1)) - 1))
A157265: 21 112 275 510 817 1196 1647 2170 2765 3432 4171 4982 5865 6820 7847 8946
((((x - (x div (2 + 1))) div (2 + 1)) + x) + (((2 + 2) * (x + 1)) - 1))
A184739: 3 8 13 18 24 29 34 39 45 50 55 60 65 71 76 81
((((x + 1) * (2 + 1)) * (2 + 1)) * ((((x + 2) * 2) * (x + 1)) - 1))
A216110: 27 198 621 1404 2655 4482 6993 10296 14499 19710 26037 33588 42471 52794 64665 78192
(((x div ((2 + 2) + 1)) + 1) div (((2 - ((x div 2) mod 2)) mod (x + 1)) + 1))
A321347-A286221: 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 2
(x - (((((x mod (((2 + 2) + 1) * 2)) * (1 - x)) div 2) mod (x + 1)) - 1))
A194746: 1 2 1 3 1 4 1 5 1 6 11 5 11 4 11 3
((((((2 + 2) + 1) * x) * 2) + 1) - (x div (((2 + 2) * (0 - 2)) - 1)))
A098955: 1 12 22 32 42 52 62 72 82 92 103 113 123 133 143 153
(1 - ((x + 1) mod ((((x * 2) * 2) mod (2 - ((x div 2) div (0 - 2)))) + 1)))
A178086: 1 1 1 1 0 1 1 1 1 1 1 ~1 0 ~1 1 1
((x + 1) div (((((x - 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1) * 2) + 1))
A187445: 0 0 1 1 1 2 1 2 1 3 3 2 1 4 3 2
((((x mod (((((x - 1) div 2) mod (2 + 1)) * (2 + 1)) - 1)) + 1) * 2) + 1)
A049613-A002373: 3 3 3 5 3 3 5 3 3 5 3 5 7 3 3 5
((((((((x mod 2) + 2) + 2) * 2) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A240301: 1 1 1 1 1 1 2 2 2 2 1 2 3 1 3 3
((((x mod (((x mod ((2 + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1) div 2) + 1)
A323086: 1 1 1 2 1 2 1 2 2 2 1 4 1 2 2 3
((((x mod ((x div (2 - (x mod ((2 + 2) * (0 - 2))))) + 1)) + 1) div 2) + 1)
A018194: 1 1 1 1 1 2 1 2 3 2 1 2 1 2 2 3
(((((x + 1) mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 1)) + 1) div 2) + 1)
A279186-A256608-A256607: 1 1 1 1 1 1 2 1 2 1 4 1 2 2 1 1
(((((((x mod (2 + 1)) + 2) * x) div (((2 + 1) * 2) + 1)) + 1) mod 2) - 1)
A088526: 0 0 ~1 0 ~1 0 ~1 ~1 0 0 0 0 ~1 ~1 0 0
(((((1 - x) mod (((x div 2) - ((x div (2 + 1)) mod 2)) + 1)) + 1) div 2) + 1)
A304036: 1 1 2 1 2 1 3 2 3 1 2 1 3 2 3 1
((((x div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) + 1) div 2) + 1)
A078704: 1 1 1 1 2 1 2 2 2 2 3 2 3 2 2 2
(((x mod (((x * 2) mod ((((x - 1) mod (2 + 2)) * 2) - 1)) + 1)) * 2) + 1)
A131270-A109223: 1 1 1 1 1 1 1 3 1 1 1 3 5 1 1 1
(((x mod ((x mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) + 1)) div 2) + 1)
A211994: 1 1 1 2 3 2 1 1 1 1 1 1 1 1 2 1
(((x - ((((x + 1) div 2) div ((x mod ((2 + 2) * 2)) + 1)) - 1)) div 2) + 1)
A240020: 1 2 2 3 3 4 4 5 3 5 6 6 7 7 8 8
((((x div ((((x - 1) * x) mod (((x + 2) + 2) * 2)) + 1)) + 1) div 2) + 1)
A143898: 1 2 1 1 1 2 1 1 1 1 2 1 2 1 3 1
(((((x - 2) mod ((x div ((2 - ((x div 2) mod 2)) + 2)) + 1)) + 1) div 2) + 1)
A083654: 1 1 1 2 1 2 2 2 1 2 1 2 2 3 2 2
((((((((x + 1) * x) + 1) * (x + 2)) * ((2 + 2) + 1)) - 1) * 2) - 1)
A061679: 17 87 277 647 1257 2167 3437 5127 7297 10007 13317 17287 21977 27447 33757 40967
((2 + 2) mod ((x mod (((((x + 1) * x) mod ((2 + 2) + 1)) + 1) * 2)) + 1))
A308276: 0 0 1 0 0 0 0 0 1 0 0 4 0 0 0 0
(((((x div (2 + 2)) + 1) mod (((2 - x) mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A199010: 1 1 1 1 2 2 1 1 2 2 1 1 1 3 1 1
((((((x mod 2) + 1) * (x + 1)) mod ((x div ((2 + 2) + 1)) + 1)) * 2) + 1)
A293485-A250207-A053575: 1 1 1 1 1 1 3 1 3 1 5 1 3 3 1 1
(x - (((x mod (((((x - 1) div 2) mod (2 + 1)) * (2 + 1)) - 1)) * 2) - 1))
A088631: 1 2 3 2 5 6 5 8 9 8 11 10 9 14 15 14
((((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) * 2) + 1)
A294788-A294787-A294786-A254578: 1 1 1 1 1 3 1 3 1 3 1 5 1 3 3 3
(((x - (((x div 2) + x) div ((((x div 2) + 1) div (2 + 1)) + 1))) div 2) + 1)
A199121: 1 1 0 0 1 2 2 2 2 2 3 4 4 4 4 5
(((((((((x div 2) + 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1) * 2) + 1)
A251549: 3 3 5 5 5 5 5 5 7 7 7 7 7 7 11 11
(((x * 2) div ((x div (((((x + 2) * x) div 2) mod (2 + 1)) + 1)) + 2)) + 1)
A106491: 1 2 2 3 2 4 2 3 3 4 2 5 2 4 4 4
(((((((x - ((x div 2) mod 2)) div 2) * (x div 2)) div (2 + 1)) + 1) div 2) + 1)
A029077: 1 1 1 1 2 2 2 3 4 4 4 5 7 7 8 9
((((x - ((1 - (x div 2)) div (2 + 1))) mod ((x div (2 + 1)) + 1)) div 2) + 1)
A008289: 1 1 1 1 1 1 1 2 1 2 1 1 3 1 1 3
(((((x * x) div (((((2 + 2) * 2) * 2) - (x div 2)) - 1)) + 1) div 2) + 1)
A237980: 1 1 1 1 2 2 3 3 4 5 6 7 9 10 13 15
(1 - ((x + 1) div (x - ((((x mod ((2 - (x mod 2)) + 1)) - 1) * 2) - 1))))
A089813: 1 0 ~2 0 0 0 1 0 0 0 0 0 1 0 0 0
((((x + 1) mod (((((x mod (2 + 1)) + 1) * 2) mod (x + 1)) + 1)) div 2) + 1)
A337279-A157522-A059674: 1 1 1 1 1 1 1 2 2 1 1 3 1 3 1 1
((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1)
A108738: 1 2 1 4 1 2 1 8 3 2 1 4 1 2 5 16
((((((1 - x) mod ((((x div 2) * x) div (2 + 1)) + 1)) div 2) + 1) div 2) + 1)
A321346-A285798: 1 1 1 1 1 1 2 2 2 2 3 3 5 5 6 7
(((x mod (((x div (((((x div 2) mod 2) + 1) * 2) + 1)) * 2) + 1)) div 2) + 1)
A323767: 1 1 1 1 1 2 1 1 2 2 1 1 2 3 3 1
(((((x mod (((x mod ((2 - (x mod 2)) + 1)) * 2) + 1)) div 2) + 1) * 2) + 1)
A284723: 3 3 5 3 3 5 3 3 5 3 3 5 3 3 7 3
(((((x * x) div (((((x mod (2 + 2)) + 2) * 2) + 1) * 2)) + 1) div 2) + 1)
A032544: 1 1 1 1 2 2 2 2 4 4 4 4 8 7 6 6
(((x - ((x + 1) mod (((((x div 2) + 2) div (2 + 1)) * 2) + 1))) div 2) + 1)
A235130: 1 1 2 2 2 3 3 3 3 5 5 5 5 5 7 7
(x mod ((((x - 1) mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) * 2) + 1))
A081417: 0 0 0 0 1 0 0 2 2 0 0 2 3 2 0 0
((((x * 2) - ((((x div 2) * 2) * 2) div (((2 + 1) * 2) + 1))) * 2) + 1)
A080580: 1 5 9 13 15 19 23 27 29 33 37 41 43 47 49 53
(((((((x div 2) * x) mod 2) * 2) + (x div (((2 + 1) * 2) + 1))) div 2) + 1)
A053543: 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 3
(((1 - ((x + 1) mod ((x mod (1 - ((x div (2 + 1)) * 2))) - 1))) div 2) + 1)
A047000: 1 1 1 1 1 1 1 2 2 1 1 3 2 1 1 1
((((((((x div 2) * x) mod 2) + 1) * ((x mod (2 + 1)) mod 2)) + 1) * 2) + 1)
A284721-A239278: 3 5 3 3 5 3 3 7 3 3 5 3 3 5 3 3
(((x + 1) div ((((x + 2) + 1) div ((((x mod 2) + 1) * 2) + 1)) + 2)) + 1)
A262095: 1 2 2 2 2 3 2 3 2 3 2 4 2 3 3 4
((((((x * x) * (2 + 2)) * (2 + 1)) mod (((x + 1) div 2) + 1)) div 2) + 1)
A135229: 1 1 1 1 1 1 1 2 2 1 1 2 4 3 1 1
(((((x + 1) div 2) - ((x * 2) div ((x div ((0 - 2) - 2)) - 1))) div 2) + 1)
A213718: 1 2 2 3 4 4 4 5 6 6 6 7 7 7 7 8
(((((((((x div 2) + x) div (2 + 2)) * (x + 1)) div 2) div 2) + 1) div 2) + 1)
A029056: 1 1 1 2 2 2 3 3 4 5 5 7 8 8 10 11
(((x mod (((x div ((((x - 1) mod (2 + 2)) + 2) * 2)) * 2) + 1)) div 2) + 1)
A330755-A321648: 1 1 1 1 1 2 1 1 1 3 1 2 1 4 3 1
(((((x * 2) + 1) mod ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) div 2) + 1)
A007001: 1 2 1 2 3 1 2 1 2 3 1 2 3 4 1 2
(((x div 2) + 1) div ((((x mod (((x mod (2 + 2)) + 2) * 2)) + 1) * 2) + 1))
A094263-A049816-A049761-A048158: 0 0 0 0 1 0 0 0 1 0 0 1 2 1 0 0
(((x mod ((x div ((((x div (2 + 2)) + 1) mod (2 + 2)) + 2)) + 1)) div 2) + 1)
A210964: 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 4
(((x - ((x + 2) div (((x div (2 + 1)) - ((2 + 2) * 2)) - 1))) * 2) + 1)
A323550: 3 5 7 9 11 13 17 19 21 23 25 29 31 33 37 41
((x * 2) - (((x mod (x - (((x + 2) mod ((2 + 2) * 2)) + 1))) mod 2) - 1))
A059010: 1 3 4 7 9 10 12 15 16 19 21 22 25 26 28 31
((((((x div 2) + x) * ((x mod 2) + 1)) mod (((2 + 2) * 2) + 1)) * 2) + 1)
A070372: 1 5 7 17 13 11 1 5 7 17 13 11 1 5 7 17
(x mod (((((((2 + 2) + 1) * x) + 1) mod (((2 + 2) * 2) + 1)) + 2) + 1))
A030998: 0 1 2 3 4 5 6 1 0 1 1 1 2 1 3 1
(((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * 2) + 1)
A050328: 1 1 1 1 1 3 1 1 1 3 1 5 1 3 3 1
(x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1))
A014081: 0 0 0 1 0 0 1 2 0 0 0 1 1 1 2 3
((((((((2 + 2) * 2) * 2) + 1) * (x + 1)) div ((2 + 2) + 1)) * 2) - 1)
A286690: 5 11 19 25 33 39 45 53 59 67 73 79 87 93 101 107
(((x + 1) div 2) div (x - (((((x + 1) * 2) div ((2 + 2) + 1)) * 2) - 1)))
A309414: 0 0 1 1 2 1 1 2 1 2 1 1 2 1 2 2
((((2 + 1) * 2) + 1) mod (((((x - 1) * 2) mod ((2 + 2) + 1)) * 2) + 1))
A021373: 0 0 2 7 1 0 0 2 7 1 0 0 2 7 1 0
(x - ((x div (2 + 1)) - (((((x - 1) div 2) div ((2 + 2) + 1)) mod 2) - 1)))
A114539: 0 0 1 1 2 3 3 4 5 5 6 8 8 9 10 10
(((((((x div (2 + 1)) * (x - 2)) + x) div 2) mod ((2 + 2) + 1)) div 2) + 1)
A156988: 1 1 1 2 2 3 2 2 1 1 2 3 1 2 1 1
(((x - (((1 - x) * 2) div ((2 + 2) + 1))) mod (((2 + 2) + 1) * 2)) + 1)
A094562: 1 2 4 5 7 8 9 1 2 4 5 6 8 9 1 2
((((((x + 2) mod ((x div (2 + 2)) + 2)) * x) mod ((2 + 2) + 1)) div 2) + 1)
A331479: 1 1 1 2 1 1 2 1 1 2 1 1 2 1 3 1
(x - ((((((x - 2) div (2 + 1)) - 1) * (x div ((2 + 2) + 1))) div 2) - 1))
A285757: 1 2 3 4 5 6 7 8 9 10 10 10 11 12 12 12
((((2 - ((2 - x) div ((2 + 2) * 2))) * (x div ((2 + 2) + 1))) div 2) + 1)
A029103: 1 1 1 1 1 2 2 2 2 2 4 5 5 5 5 7
((((x + 1) div ((2 + 2) + 1)) + x) + (((x div ((2 + 2) + 1)) * 2) + 1))
A047419: 1 2 3 4 6 9 10 11 12 14 17 18 19 20 22 25
(((x + 2) * (2 + 1)) mod (((x mod (((2 - x) mod (2 + 2)) + 1)) * 2) + 1))
A174431: 0 0 0 1 0 0 0 6 0 0 0 4 0 0 0 2
((((2 + 2) * (x + 1)) - (((x - 1) mod ((x div (2 + 2)) + 1)) div 2)) - 1)
A190349: 3 7 11 15 19 23 27 31 35 38 43 47 50 55 59 62
((((((x * x) - 1) div ((x + 2) + 2)) mod ((x div (2 + 2)) + 1)) * 2) + 1)
A216319: 1 1 1 1 3 1 3 1 5 1 3 5 1 3 5 7
(((((x mod ((x mod 2) + 2)) + 1) + (x div ((x div (2 + 2)) + 1))) div 2) - 1)
A247138: ~1 0 0 1 0 1 1 1 0 1 1 2 1 1 1 1
(((((x * x) - 1) * x) div (2 + 1)) + (((((x * 2) * 2) + 1) * 2) + 1))
A322595: 3 11 21 35 55 83 121 171 235 315 413 531 671 835 1025 1243
((((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) * (2 + 1)) div 2) + 1)
A245851-A054526: 1 1 1 1 1 2 1 1 2 2 1 1 2 2 4 1
(((((x - (((x div 2) + 1) mod ((2 + 2) * 2))) + 1) div (2 + 1)) * 2) + 1)
A111233: 1 1 1 1 1 3 3 3 3 3 3 5 5 5 11 11
(x - ((((((1 - x) * 2) div (((2 + 2) * 2) + 1)) * (2 + 1)) div 2) - 1))
A228374: 1 2 5 6 7 8 10 11 12 13 14 17 18 19 20 22
((((((((x * x) + 2) div (2 + 1)) mod (2 + 2)) + 1) * (2 + 1)) div 2) + 1)
A249910: 2 4 5 7 5 4 2 4 5 7 5 4 2 4 5 7
(x - ((((((x div 2) + 1) div (((x mod 2) + 2) + 1)) * (2 + 1)) div 2) + 1))
A219029: ~1 0 1 2 2 4 4 5 6 7 6 9 8 11 10 11
((((x div 2) mod 2) + 1) div ((x mod (((x mod (2 + 1)) * (2 + 1)) + 2)) + 1))
A035177: 1 0 0 1 0 0 2 0 1 0 2 0 1 0 0 1
((((2 + 2) * (x + 1)) - ((x - (x div ((0 - 2) * (2 + 1)))) div 2)) + 1)
A214858: 5 8 12 15 19 22 26 29 32 36 39 43 46 49 53 56
(((x - (((x + 1) div ((x div ((2 + 2) * 2)) + 2)) mod (2 + 1))) div 2) + 1)
A174697: 1 1 1 1 2 3 4 4 5 5 6 6 6 7 7 7
(((x - (((x + 2) * 2) div (x - (((2 + 2) * 2) * (2 + 1))))) * 2) + 1)
A192868: 3 5 7 9 11 13 15 19 21 23 25 27 31 33 37 39
(((x div 2) div (((((x * 2) + 1) * x) mod ((2 + 2) * (2 + 1))) + 2)) + 1)
A292436: 1 1 1 1 2 1 1 1 1 1 1 2 4 2 1 1
((((((x - (x div (2 + 2))) div 2) * ((x div 2) + 2)) div (2 + 1)) div 2) + 1)
A029091: 1 1 1 1 1 2 2 3 4 4 5 5 6 7 8 10
(x div (((((((x mod ((x mod 2) + 2)) + 1) * x) div 2) div (2 + 1)) + 2) + 1))
A022307: 0 0 0 1 1 1 1 1 2 2 2 1 2 1 2 3
(((x - ((x * x) - (((((x * x) - 1) * x) div 2) div (2 + 1)))) div 2) + 1)
A212772: 1 1 0 0 0 1 3 8 15 25 38 56 78 105 137 176
((((2 + 2) + 1) * 2) - (((x * 2) mod (((x div 2) mod (2 + 1)) + 2)) + 1))
A231470: 9 9 8 9 9 7 9 9 8 9 9 7 9 9 8 9
(((x div (2 - ((x div 2) - ((2 + 2) * 2)))) + 1) * (((2 + 1) * 2) + 1))
A245402: 7 7 7 7 7 7 7 14 14 14 21 21 28 28 35 42
(x - (((((1 - x) * x) div 2) * ((2 + 2) + 1)) * (((2 + 1) * 2) + 1)))
A282852: 0 1 37 108 214 355 531 742 988 1269 1585 1936 2322 2743 3199 3690
((x - ((((1 - x) * x) div 2) * ((2 + 2) + 1))) * (((2 + 1) * 2) + 1))
A152777: 0 7 49 126 238 385 567 784 1036 1323 1645 2002 2394 2821 3283 3780
(1 - ((x * 2) - ((x - (x div ((2 + 2) + 1))) * (((2 + 1) * 2) + 1))))
A080900: 1 6 11 16 21 19 24 29 34 39 37 42 47 52 57 55
(((((((x * 2) * 2) * 2) * 2) + 1) * (2 + 1)) div (((2 + 1) * 2) + 1))
A004939: 0 7 14 21 27 34 41 48 55 62 69 75 82 89 96 103
((((((x + 2) * x) * (x + 2)) div 2) div (2 + 1)) div (((2 + 1) * 2) + 1))
A200919: 0 0 0 1 3 5 9 13 19 25 34
((x * x) - (((((1 - x) * x) div 2) * (x - 1)) * (((2 + 1) * 2) + 1)))
A226451: 0 1 11 51 142 305 561 931 1436 2097 2935 3971 5226 6721 8477 10515
(((x div ((x mod ((2 + 2) * (2 + 1))) + 1)) * 2) mod (((2 + 1) * 2) + 1))
A061649: 0 0 0 0 0 0 0 0 0 0 0 0 3 5 1 6
(x - ((((x * 2) div (((2 + 1) * 2) + 1)) mod 2) * (((2 + 1) * 2) + 1)))
A309995: 0 1 2 3 ~3 ~2 ~1 7 8 9 10 4 5 6 14 15
((((((x * 2) * (2 + 1)) + 1) * (x + 2)) div 2) div (((2 + 1) * 2) + 1))
A171971: 0 1 3 6 10 15 21 27 35 43 52 62 73 84 97 110
((((x * 2) * (2 + 1)) + 2) - (((1 - x) * 2) div (((2 + 1) * 2) + 1)))
A246304: 2 8 15 21 27 34 40 46 52 59 65 71 78 84 90 96
(((((2 + 1) * x) + 2) * 2) - (((1 - x) * 2) div (((2 + 1) * 2) + 1)))
A246394: 4 10 17 23 29 36 42 48 54 61 67 73 80 86 92 98
((((x * 2) + 1) * (2 + 1)) - ((1 - (x * 2)) div (((2 + 1) * 2) + 1)))
A246302: 3 10 16 22 28 35 41 47 54 60 66 72 79 85 91 98
(((((2 + 1) * x) + 2) * 2) - ((1 - (x * 2)) div (((2 + 1) * 2) + 1)))
A246301: 4 11 17 23 29 36 42 48 55 61 67 73 80 86 92 99
((((((x * x) * (x * x)) * (x * x)) - 1) * x) div (((2 + 1) * 2) + 1))
A208537: 0 0 18 312 2340 11160 39990 117648 299592 683280 1428570 2783880 5118828 8964072 15059070 24408480
(((x div (((x mod ((2 + 1) * 2)) + 1) + 2)) + x) mod (((2 + 1) * 2) + 1))
A190595: 0 1 2 3 4 5 1 1 2 3 4 5 2 2 2 3
(((((x - ((x div 2) mod (2 + 2))) div 2) div 2) + x) + (((2 + 1) * 2) + 1))
A065808: 7 8 9 10 11 12 13 15 17 18 19 20 21 22 23 25
(((x * 2) * 2) div (((((2 + 2) * 2) * 2) - x) * (((2 + 1) * 2) + 1)))
A168083: 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8
((((x * x) div (((x + 2) + 2) + 1)) + 1) - (x div (((2 + 1) * 2) + 1)))
A104351: 1 1 1 2 2 3 4 4 4 5 6 7 8 9 9 10
(((((x div 2) * x) div ((x + 2) + 2)) + 1) - (x div (((2 + 1) * 2) + 1)))
A147680: 1 1 1 1 2 2 2 1 2 2 3 3 4 4 4 4
(((((2 + 2) * (2 + 1)) - 1) * (x + 1)) + (x div (((2 + 1) * 2) + 1)))
A059544: 11 22 33 44 55 66 77 89 100 111 122 133 144 155 167 178
(x - (((x + 2) div (1 - ((2 + 2) * 2))) - (x div (((2 + 1) * 2) + 1))))
A039083: 1 2 3 4 5 6 8 10 11 12 13 14 15 17 19 20
((((2 mod ((x div (2 + 2)) + 1)) + x) + 2) + (x div (((2 + 1) * 2) + 1)))
A071218: 2 3 4 5 6 7 8 10 13 14 15 16 17 18 20 21
(1 - ((((x div ((2 + 2) * 2)) - x) div 2) + (x div (((2 + 1) * 2) + 1))))
A171896: 1 2 2 3 3 4 4 4 4 4 5 5 6 6 6 6
((((x * 2) - (x div (2 + 2))) + 1) + (x - (x div (((2 + 1) * 2) + 1))))
A190008: 1 4 7 10 12 15 18 20 22 25 28 31 33 36 38 41
((((((((x + 2) * 2) + 1) * ((x div 2) + 1)) + x) + (2 + 1)) * 2) + 1)
A281533: 17 23 47 57 93 107 155 173 233 255 327 353 437 467 563 597
(((((((((x + 2) * x) div (2 + 2)) + 1) div 2) + x) * (2 + 1)) div 2) + 1)
A324476: 1 2 5 8 11 14 19 23 28 32 38
((((((((1 - (x div 2)) mod (x + 2)) div 2) div 2) + x) * (2 + 1)) div 2) + 1)
A191535-A100598: 1 2 4 5 8 10
A286803: 1 2 4 5 8 10 11 13 14 17 19 20 22 23 25 26
(((((x * x) div ((((2 + 2) * 2) * 2) + 1)) + (x div (2 + 1))) div 2) + 1)
A029087: 1 1 1 1 1 2 3 3 3 4 5 6 7 7 8 10
((((compr(\x.(1 - ((x * 2) mod ((x div (2 + 2)) + 1))),x) * 2) + 1) * 2) + 1)
A141638: 35 43 47 55 63 67 71 75 79
(((x - ((x * x) div (((((2 + 2) * (2 + 1)) + x) * 2) + 1))) + 2) + 1)
A154660: 3 4 5 6 7 8
A243196: 3 4 5 6 7 8 9 9 10 11 11 12 13 13 14 14
(((((((((x div (2 + 2)) mod 2) + (x * x)) div 2) + x) div 2) + 1) div 2) + 1)
A173254: 1 1 2 3 4 6 7 9 11 13 16 19 22 26 29 33
(x div (((((x div 2) - (((x * 2) * 2) + 1)) mod ((x + 2) + 1)) + 2) + 1))
A026797: 0 0 0 1 0 0 0 1 1 1 1 2 2 3 3 5
((((x div (2 + 1)) + 1) div ((((x * x) * 2) mod ((x div 2) + 1)) + 2)) + 1)
A066672: 1 1 1 2 1 1 2 1 1 2 2 2 2 2 3 2
(((x mod ((x mod ((2 + 1) * 2)) + 1)) + 1) mod ((((x div 2) + 1) div 2) + 1))
A281545: 0 0 1 0 1 0 1 2 0 2 1 2 1 2 3 4
(((((((2 + 2) * 2) * 2) * ((x - 1) * x)) mod ((x div 2) + 1)) div 2) + 1)
A241597: 1 1 1 1 1 2 1 1 1 2 1 2 3 3 1 1
((((((((x + 2) * x) * (x + 1)) div (2 + 1)) - (x mod 2)) + 1) * 2) - 1)
A179783: 1 3 17 39 81 139 225 335 481 659 881 1143 1457 1819 2241 2719
((x div ((x div (((((x - 2) div (2 + 1)) mod 2) + (x mod 2)) + 1)) + 2)) + 1)
A101422: 1 1 1 2 1 2 2 2 1 2 1 3 2 3 1 2
((((x + 1) div (2 - ((((2 + 2) * 2) * 2) mod ((0 - x) - 1)))) div 2) + 1)
A326515: 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1 5
((((((((((x div 2) + 1) div 2) div 2) * (2 + 1)) div 2) + x) + 1) * 2) + 1)
A336620-A318978: 3 5 7 9 11 13 17 19 21 23 25 27 29 31 37 39
((((((x - (((2 + 1) * 2) mod ((x div 2) + 1))) div 2) + x) + 1) div 2) + 1)
A173023: 1 2 3 3 4 5 5 6 7 8 9 9 9 9 10 11
(1 div ((((1 - x) mod ((((((2 + 2) + 1) * 2) * 2) - x) + 1)) * 2) - 1))
A247133: 1 ~1 0 0 0 0 0 0 0 0 0 ~1 0 0 1 0
(((((((((x + 1) * x) + ((2 + 2) * 2)) + 2) * 2) + x) + 1) * 2) + 1)
A156252: 43 53 71 97 131 173 223 281 347 421 503 593 691 797 911 1033
(((((((((x + 1) mod (2 + 1)) + x) + (x div 2)) div 2) + x) + 1) div 2) + 1)
A156229: 1 2 3 4 5 5 7 8 8 9 10 11 12 13 13 14
((x div (2 + 1)) mod (((((x mod (2 + 2)) * (2 + 1)) mod (x + 1)) div 2) + 1))
A338501: 0 0 0 0 0 1 2 0 0 1 3 3 0 0 0 0
(x div (((((x mod (((2 - x) mod (2 + 2)) + 2)) * 2) mod (x + 1)) * 2) + 1))
A130891: 0 1 2 0 4 0 6 0 8 9 10 2 12 2 14 15
((((((x * x) div (2 + 2)) + (x * x)) div (2 + 1)) + ((x + 1) * 2)) + 1)
A255981: 3 5 8 12 17
A002579: 3 5 8 12 17 23 30 37 45 54 64 75 87 99 112 126
((((x - (((x div (2 + 1)) - x) div (2 + 1))) div 2) + ((x + 1) * 2)) + 1)
A184657: 3 6 8 11 13 16 19 21 24 26 29 32 34 37 40 42
(((((x * x) mod ((x * 2) - ((2 - x) div 2))) mod 2) + ((x + 1) * 2)) + 1)
A131392: 3 6 7 9 12 14 15 18 20 22 23 26 27 30 31 34
((((((x - (x div ((2 + 2) * 2))) div 2) + x) div 2) + ((x + 1) * 2)) + 1)
A180124: 3 5 8 11 14 16 19 22 24 27 30 33 35 38 41 44
(((((x + 2) * x) + 1) * (((2 + 2) * 2) + 1)) * (((x + 1) * 2) + 1))
A224454: 27 180 567 1296 2475 4212 6615 9792 13851 18900 25047 32400 41067 51156 62775 76032
((1 - ((((x + 2) * x) * (x + 1)) div (2 + 1))) mod (((x + 1) * 2) + 1))
A338670: 1 4 0 8 5 9
((((((x mod ((x div 2) + 1)) div 2) + (x mod 2)) * 2) + ((x + 1) div 2)) + 1)
A090964: 1 4 2 5 3 8 6 9 7 12 10 13 11 16 14 17
(((((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x) * (x + 1)) div 2) + 1)
A129428: 1 48 142 283 471 706 988 1317 1693 2116 2586 3103 3667 4278 4936 5641
((((((((((x + 1) * x) + 2) * 2) * 2) - 1) * x) * (x + 1)) div 2) + 1)
A294433: 1 16 94 331 871 1906 3676 6469 10621 16516 24586 35311 49219 66886 88936 116041
(((((((x + 2) * (x + 2)) * ((2 + 2) * 2)) - x) * (x + 1)) div 2) + 1)
A130748: 17 72 190 395 711 1162 1772 2565 3565 4796 6282 8047 10115 12510 15256 18377
(((x * 2) + 1) - ((x + 1) div ((2 + 2) - ((x mod ((0 - 2) - 2)) - 1))))
A184415: 1 3 5 7 8 11 12 14 16 18 20 21 23 26 27 29
((((((((x + 1) * x) div 2) mod (((2 + 1) * 2) + 1)) + 1) div 2) * 2) + 1)
A279321: 1 3 5 7 5 3 1 1 3 5 7 5 3 1 1 3
(x div ((((((x * 2) * 2) mod (((2 + 2) * (2 + 1)) - 1)) + 2) + 2) + 1))
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((x mod ((2 - (((x - 1) mod (((x + 2) div (2 + 1)) + 1)) div 2)) + 2)) + 1)
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((((x + 1) div ((((2 + 2) * 2) div ((x mod (2 + 1)) + 1)) + 2)) * 2) + 1)
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((x div (((((0 - x) * (x div 2)) mod (((2 + 1) * 2) + 1)) + 2) * 2)) + 1)
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(x - ((((x - (((x + 2) * x) div (((2 + 1) * 2) + 1))) div 2) * 2) - 1))
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((x div (((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 1)) + 2) + 2)) + 1)
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((((x + 2) div (((x div 2) div (((x mod (2 + 1)) div 2) + 1)) + 2)) * 2) + 1)
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((((1 mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 2) * 2) + 1)
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((x div (((((1 - x) * (x * 2)) mod (((2 + 2) * 2) + 1)) + 2) * 2)) + 1)
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(((((((x + 2) mod ((x mod (2 + 2)) + 2)) mod (2 + 2)) + 1) div 2) * 2) + 1)
A291448: 1 1 1 1 1 3 1 1 1 3 1 5 1 1 1 3
(((x + 2) * 2) - (x div (((((x div 2) mod ((2 + 2) + 1)) + 2) + 2) + 1)))
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((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) + 1) * 2) * 2) + 1))
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((((x - 1) mod (((((x mod 2) * 2) + x) div ((2 + 2) + 1)) + 2)) div 2) + 1)
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((((((((x - (x div ((0 - 2) - 1))) * x) div 2) div 2) + 1) div 2) div 2) + 1)
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(((((((((x + 2) * (2 + 1)) - 1) * (x div 2)) div 2) + 1) div 2) div 2) + 1)
A341123: 1 1 2 3 5 6 9 11 15 17 23 25 32 34 42 45
(((((x - ((x div ((0 - 2) * (2 + 1))) - 1)) * (2 + 1)) div 2) * 2) - 1)
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((x + 1) div ((((((x div (2 + 2)) * (x - 1)) mod (2 + 1)) + 2) * 2) + 1))
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((((x + 1) * 2) - ((((x div ((0 - 2) - 2)) * (2 + 1)) div 2) div 2)) + 1)
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((((x - 1) mod ((((((x + 1) div 2) div 2) div 2) * (2 + 1)) + 2)) div 2) + 1)
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(((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (2 + 1)) div 2) div 2) + 1)
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(((((((x div ((0 - 2) - 2)) mod (x + 2)) + 2) * (2 + 1)) div 2) div 2) + 1)
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(((x * 2) - ((((((x - 2) * x) div (x + 2)) * (2 + 1)) div 2) div 2)) + 1)
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(((x - ((x + 2) div ((((x - 1) div 2) div 2) - ((2 + 1) * 2)))) * 2) - 1)
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((x + 1) div ((((x mod 2) - (x div (((1 - x) div (2 + 1)) - 2))) * 2) + 1))
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((((((x * 2) div (((2 + 1) * 2) + 1)) * (x div (2 + 1))) div 2) div 2) + 1)
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(((((x + 1) mod (((x + 1) mod (2 + 2)) + (x div (2 + 1)))) div 2) * 2) + 1)
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((((((2 - x) div 2) * ((2 + 2) + 1)) mod ((x div (2 + 1)) + 2)) div 2) + 1)
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(((x - ((x - ((x * x) div (2 + 2))) div ((x div (2 + 1)) + 2))) * 2) + 1)
A327573: 1 3 5 7 9 13 15 19 21 25 27 31 33 37 41 43
((((x * x) mod (((2 + 1) * 2) + 1)) div (((x div (2 + 1)) mod 2) + 2)) + 1)
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(x - (((((((((2 - (x div 2)) div 2) div 2) * x) div 2) + 1) div 2) div 2) - 1))
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(((x mod ((((((x - 1) div 2) mod (2 + 2)) - 1) mod (x + 1)) + 2)) div 2) + 1)
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(((((((x * x) mod ((2 + 1) * 2)) * (2 + 1)) mod (x + 1)) div 2) div 2) + 1)
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(((((((x div 2) - ((x mod 2) * 2)) * (2 + 1)) mod (x + 1)) div 2) div 2) + 1)
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((x div ((((((x mod ((2 + 1) * 2)) + 1) * 2) mod (x + 1)) + 2) + 2)) + 1)
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((((((x div (((x div 2) div (2 + 1)) + 2)) + 2) * (x + 1)) div 2) div 2) + 1)
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((((((((x - 2) mod ((x div 2) + 2)) div 2) mod 2) * (x + 1)) div 2) div 2) + 1)
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(((((1 - (((2 + 1) * x) mod ((x div 2) + 2))) mod (x + 1)) div 2) div 2) + 1)
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((x + 1) mod (((x + 2) mod (((((x * x) div 2) mod (x + 1)) div 2) + 2)) + 1))
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(x - ((((((1 - x) * 2) div ((2 + 2) + 1)) - ((x + 1) * 2)) * 2) - 1))
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(((((2 + 2) * (x + 1)) * ((2 + 2) + 1)) - (((x + 1) div 2) div 2)) - 1)
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(((((((2 + 2) * 2) * 2) + x) * 2) - 1) mod ((((x + 1) div 2) div 2) + 1))
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((((((x div (((x * x) mod ((x div 2) + 2)) + 1)) - 1) div 2) mod 2) * 2) - 1)
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((((x - (x div ((((x * x) div 2) mod ((0 - 2) - 1)) - 2))) div 2) div 2) + 1)
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(x - (((x * 2) - 1) div (((((x div ((0 - 2) - 1)) mod 2) + 2) * 2) + 1)))
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A103297: 1 1 2 3 3 4 4 6 6 7 7 7 8 10 11 11
(x - ((x mod (((((x div 2) div (((2 + 1) * 2) + 1)) + 2) * 2) * 2)) - 1))
A290238-A286833: 1 1 1 1 1 1 1 1 9 9 9 9 9 9 13 13
(x div ((((2 - ((x mod (((x div (2 + 1)) * 2) - 1)) mod 2)) * 2) * 2) + 1))
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((((((((x * x) div (2 + 2)) - 1) * ((2 + 2) + 1)) div 2) div 2) div 2) + 1)
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(((x - (x div ((x div (((x * x) mod ((2 + 2) + 1)) + 2)) + 2))) div 2) + 1)
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((((x * 2) mod (((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + 2)) * 2) + 1)
A094853: 1 1 1 1 1 1 1 5 3 1 1 3 1 1 1 1
(((((((x mod (2 + 2)) + x) * ((x div (2 + 2)) + 1)) * 2) * 2) * 2) + 1)
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((x + 1) div (((((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) * 2) - 1))
A119972: 1 2 ~3 4 5 ~6 ~7 8 9 10 ~11 ~12 13 ~14 ~15 16
((((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) div 2) * 2) + 1)
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(((((((((x * 2) * 2) + 1) * (x + 2)) * (2 + 1)) div 2) div 2) div 2) + 1)
A185594: 1 6 14 25 39 56 76 98 124 153 185 220 258 299 343 389
(1 - ((x mod 2) - (x div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1))))
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(((((((x * x) div ((x mod 2) + 2)) mod ((x + 2) + 1)) mod 2) + 2) * 2) + 1)
A204911: 5 5 5 7 7 5 5 5 5 7 7 5 5 5 7 7
(((x div ((((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2) + 2)) * 2) + 1)
A210745: 1 1 1 1 1 3 3 3 3 3 3 3 5 5 7 7
((((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * 2) * 2) * 2) + 1)
A293724: 1 1 1 1 1 1 1 1 9 1 1 1 9 25 1 1
(((x mod ((x div ((((x div 2) mod ((2 + 2) + 1)) div 2) + 2)) + 2)) div 2) + 1)
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(((x + 1) div ((x div ((((x mod ((2 + 2) + 1)) mod 2) + 2) + 2)) + 2)) + 1)
A217865: 1 2 2 3 2 3 3 3 4 3 3 4 3 4 4 4
((((((((x div ((2 + 2) * 2)) + x) * (2 + 1)) div 2) div 2) * 2) * 2) + 1)
A122798: 1 1 5 9 13 13 17 21 25 29 33 37 37 41 45 49
((x * 2) - (((x div ((((x mod ((0 - 2) - 2)) div 2) + 2) + 2)) mod 2) - 1))
A212439: 1 3 5 6 8 11 13 15 17 19 20 22 24 27 29 30
((x * x) div (((((2 - (x - (((2 + 2) * 2) * 2))) * 2) * 2) * 2) + 1))
A326527: 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 9
(((x div 2) * x) div ((((2 - (x - (((2 + 2) * 2) * 2))) * 2) * 2) + 1))
A326594: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 8
(((2 - ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2)) div 2) + 1)
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(((((((((x div 2) + x) + 1) * ((x + 2) + 2)) div 2) div 2) div 2) div 2) + 1)
A049807: 1 1 2 3 4 5 7 8 10 12 15 16 20 22 25 28
(((((x div (((((2 + 2) * 2) - (x div 2)) * 2) * 2)) * 2) * 2) * 2) + 1)
A146868-A146591: 1 1 1 1 1 1 1 1 1 1 1 1 9 9 25 25
(((1 - (((x mod 2) - (x div ((((x div 2) mod 2) + 2) + 2))) div 2)) * 2) - 1)
A110919: 1 1 1 1 3 1 3 1 3 3 3 3 5 3 3 3
((((x + 2) mod (((x - (x mod (((x mod 2) + 2) * 2))) div 2) + 2)) div 2) + 1)
A132422: 1 1 1 1 2 1 1 3 3 1 1 2 4 4 1 1
(((x + 2) div (((x * 2) div ((((x + 1) mod (2 + 2)) + 2) + 2)) + 2)) - 1)
A105553: 0 0 1 0 1 1 1 0 1 1 2 0 1 1 1 0
((((x * x) div (2 + 1)) * (x - 1)) div (((((2 + 2) * 2) * 2) * 2) + 1))
A194211: 0 0 0 0 0 0 1 2 4 6 9 12 16 20 25 31
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070656: 0 1 31 3 4 16 27 4 25 9 1 22 12 31 25 15
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070654: 0 1 2 16 4 1 1 4 8 8 2 4 2 16 8 16
((((x div 2) * x) div 2) div (((2 - (x - (((2 + 2) * 2) * 2))) * 2) + 1))
A326593-A326592-A326591-A326590-A326589-A319475-A026816: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7
(((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2) + 1)
A329330-A324592-A318274-A178059-A176427-A116188-A096589: 1 1 1 1 2 1 1 3 3 1 1 4 4 4 1 1
(((((x * 2) + 1) mod ((x div (((2 - x) mod (2 + 2)) + 2)) + 2)) div 2) + 1)
A323023: 1 1 2 1 1 2 2 1 1 3 1 2 1 2 2 1
(((2 + 1) * x) - ((((x - ((2 - (x div (2 + 2))) div 2)) div 2) div 2) - 1))
A186224: 2 4 7 10 12 15 18 21 23 26 29 32 34 37 40 42
(((2 - ((((2 - x) * 2) + 1) div (((x div (2 + 2)) + 2) + 2))) * 2) + 1)
A126611: 3 5 5 7 7 7 9 9 9 11 11 11 11 11 13 13
(2 - (2 div (((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) div 2) + 1)))
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((x + 1) div (((2 - ((x mod ((0 - (x mod (2 + 2))) - 2)) div 2)) * 2) + 1))
A302479: 0 0 0 0 1 0 1 0 1 2 1 1 2 2 2 3
(x - ((((x - ((((2 - (x div 2)) * (x div 2)) div 2) div 2)) div 2) div 2) - 1))
A196266: 1 2 3 4 4 5 6 6 7 8 8 9 9 10 10 10
((x div ((x div (((((x * x) div 2) mod ((x div 2) + 2)) div 2) + 2)) + 2)) + 1)
A137921: 1 1 2 2 2 2 2 3 3 3 2 3 2 3 4 4
(x div (((x div (2 + 1)) - (x div (((((x div 2) mod 2) + 2) * 2) * 2))) + 1))
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A231577: 0 1 2 1 2 2 2 2 4 3 2 2 3 3 3 3
(x - ((x div (0 - ((((((x + 1) div 2) div 2) mod (2 + 2)) + 2) * 2))) - 1))
A026500: 1 3 4 5 6 7 8 9 10 12 13 14 15 16 17 20
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * 2) + 1))
A070699: 0 1 9 11 13 10 14 12 15 2 5 3 7 4 6 8
(((((x + 2) * (x + 2)) + 2) * (x + 2)) div ((((2 + 2) * 2) * 2) - 1))
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(x div (((x - (((x mod ((2 + 2) + 1)) * (x div (2 + 2))) div 2)) div 2) + 1))
A331958: 0 1 1 1 2 1 1 1 2 3 1 1 2 2 2 1
((((((x + 2) * x) div 2) div (2 + 1)) div (((x div (2 + 2)) + 2) + 2)) + 1)
A025777: 1 1 1 1 1 2 2 3 3 3 4 4 5 5 6 7
(((0 - 1) mod (2 - (((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)))) + 1)
A306437-A286563-A167271-A156348-A147861: 1 1 1 1 0 1 1 2 0 1 1 0 0 0 1 1
(1 - ((x + 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)))
A177121: 1 1 1 1 ~1 1 1 1 1 1 1 1 ~2 ~1 1 1
(((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A259572: 0 0 0 0 1 0 0 1 1 0 0 2 3 2 0 0
((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
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(1 - (((x div 2) - 1) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)))
A114700: 1 1 1 1 0 1 1 ~1 1 1 1 0 0 0 1 1
(((x div (2 + 1)) + 2) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
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((x div (((2 + 2) * 2) - ((x div 2) - (((x div (2 + 2)) mod 2) * 2)))) + 1)
A029118: 1 1 1 1 1 1 1 2 3 3 4 4 4 4 5 6
(((x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2)) * 2) + 1)
A336374-A272872-A187929: 1 3 5 7 11 13 15 17 19 23 27 29 31 35 37 39
((((((((x - (x div (2 + 1))) * x) + 2) * (x + 2)) div 2) div 2) div 2) + 1)
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(((x + 1) div (((((x * x) div 2) + 1) mod (((x + 2) + 2) * 2)) + 2)) + 1)
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(x - (((x * x) div (((2 - (((x mod 2) - (x div 2)) div 2)) * 2) * 2)) - 1))
A292127: 1 2 3 3 4 4 5 4 5 5 6 5 6 6 7 5
((x + 1) mod ((((((x * x) * (2 + 2)) mod ((x div 2) + 2)) div 2) * 2) + 1))
A305212: 0 0 0 0 0 0 2 0 4 0 0 0 0 4 0 0
((((x * 2) * (2 + 1)) - (((x + 1) * 2) div (1 - ((2 + 2) * 2)))) + 1)
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((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * (((2 + 2) * 2) + 1))
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((x - (1 - ((((x * 2) + 1) * 2) * (2 + 1)))) * (((2 + 2) * 2) + 1))
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((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) mod (((2 + 2) * 2) + 1))
A279816: 0 1 4 1 2 8 2 3 3 3 4 7 4 5 2 5
(((((((x + 2) * 2) * 2) + x) * x) + (2 + 1)) * (((2 + 2) * 2) + 1))
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(((((x + 2) * (x + 1)) div 2) * ((x * 2) + 1)) * (((2 + 2) * 2) + 1))
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(((((x - 1) * x) div (2 + 1)) * ((x * 2) - 1)) div (((2 + 2) * 2) + 1))
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((2 + 2) - ((((x div 2) + x) * ((x mod 2) + 1)) mod (((2 + 2) * 2) + 1)))
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(((((x - ((x mod (2 + 1)) div 2)) div 2) + 1) div 2) * (((2 + 2) * 2) + 1))
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(x - ((((x * 2) div (((2 + 2) * 2) + 1)) mod 2) * (((2 + 2) * 2) + 1)))
A316823: 0 1 2 3 4 ~4 ~3 ~2 ~1 9 10 11 12 13 5 6
((((((x - (x div (0 - 2))) * 2) + 1) * 2) * 2) * (((2 + 2) * 2) + 1))
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(((((x + 2) * 2) + x) * (((2 + 1) * x) + 2)) * (((2 + 2) * 2) + 1))
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(((((2 + 2) + 1) * x) + 2) - (((1 - x) * 2) div (((2 + 2) * 2) + 1)))
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(x - ((((x mod (((2 + 2) + 1) * 2)) - x) * 2) * (((2 + 2) * 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A039723: 0 1 2 3 4 5 6 7 8 9 190 191 192 193 194 195
(((((2 - x) * 2) mod (((2 + 2) * 2) + 1)) + x) div (((2 + 2) * 2) + 1))
A037810: 0 0 0 1 1 0 0 1 1 1 1 1 2 2 1 1
((x * 2) - ((((x div 2) div ((2 + 2) + 1)) - x) * (((2 + 2) * 2) + 1)))
A108773: 0 11 22 33 44 55 66 77 88 99 101 112 123 134 145 156
(((((((x div 2) + x) + 2) * 2) * (2 + 1)) - x) * (((2 + 2) * 2) + 1))
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((x * 2) - (((x - 2) div ((2 + 2) + 1)) + (x div (((2 + 2) * 2) + 1))))
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A029902: 1 3 4 6 8 10 12 13 15 16 18 20 21 23 25 27
(((x + 1) mod (((2 + 2) * (2 + 1)) - 1)) - (x mod (((2 + 2) * 2) + 1)))
A118762: 1 1 1 1 1 1 1 1 1 10 ~1 ~1 ~1 ~1 ~1 ~1
(x - ((x mod (((2 + 2) + 1) * 2)) - (((1 - x) mod ((2 + 2) * 2)) + 1)))
A168142: 2 1 8 7 6 5 4 3 2 1 18 17 16 15 14 13
(x mod (((x - (((((2 - x) div 2) div (2 + 1)) * x) div (2 + 2))) div 2) + 1))
A089049: 0 0 0 0 1 1 1 2 2 1 2 2 2 2 3 1
(((((((x - 2) mod ((x div 2) + 1)) div 2) + 2) * (x div (2 + 2))) div 2) + 1)
A304633: 1 1 1 1 2 2 2 2 3 4 4 4 5 7 7 7
((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) - (x mod (2 + 2))) div 2) + 1)
A029339: 1 0 0 0 1 1 0 0 2 1 1 1 2 2 1 2
(x - (((x * x) + 2) div ((((((x div (2 + 2)) + x) div 2) + 2) * 2) + 1)))
A235963: 0 1 2 2 2 3 3 4 4 4 4 4 5 5 5 6
(((x - (((((x div (2 + 1)) * (x - 2)) * (2 - x)) div 2) div 2)) * 2) + 1)
A123069: 1 3 5 9 11 17 29 41
((((x * 2) + 1) div ((x div ((2 - (((x div 2) * x) mod 2)) + 2)) + 2)) + 1)
A265690-A073933: 1 2 3 3 4 4 5 4 5 5 6 5 6 6 6 5
(((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2) * 2) + 1)
A143730: 5 7 9 9 11 11 13 13 13 15 15 15 17 17 17 17
((((x * 2) - ((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)) + 2) + 1)
A184675: 3 5 6 8 9 11 12 13 15 16 17 19 20 21 22 24
(((((x + 2) + 2) * (x + 1)) * (2 + 1)) * ((((x + 2) + 2) + 2) + 1))
A096383: 84 240 486 840 1320 1944 2730 3696 4860 6240 7854 9720 11856 14280 17010 20064
(((((2 + 2) * 2) * 2) * ((x * 2) + 1)) div ((((x + 2) + 2) * 2) + 1))
A231407: 1 4 6
A234948: 1 4 6 7 8 9 9 10 10 11 11 11 12 12 12 12
(x - (((((((2 - x) div 2) div ((2 + 2) + 1)) * (x div 2)) div 2) div 2) - 1))
A256450: 1 2 3 5 6 7 8 9 10 11 13 14 15 17 19 20
(((x - (x mod (x - (((x - 1) div (2 + 1)) - ((x div 2) mod 2))))) div 2) + 1)
A287635: 1 1 1 1 2 3 4 4 4 4 5 5 5 5 6 7
(((x - ((x mod (1 - ((2 + 2) * (2 + 1)))) div (2 + 1))) mod (2 + 2)) + 1)
A176360: 1 2 2 3 4 4 1 2 2 3 4 4 1 1 2 3
((((x * x) mod ((x div (2 + 1)) + 1)) + 1) mod (((x + 1) mod (2 + 2)) + 1))
A335489-A323439: 1 1 1 0 1 2 1 0 0 2 1 0 1 2 2 0
((((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 2) mod (2 + 2)) + 1)
A204255: 3 4 4 1 1 1 2 2 2 2 3 3 3 3 3 4
((((x + 2) mod ((((x mod (2 + 1)) div 2) * (2 + 1)) + 2)) mod (2 + 2)) + 1)
A161506: 1 2 1 2 1 3 1 2 1 2 1 4 1 2 2 2
((((((x div (2 + 2)) * (2 + 1)) div 2) - ((x + 1) div 2)) mod (2 + 2)) + 1)
A106147: 1 4 4 3 4 3 3 2 4 3 3 2 3 2 2 1
(((x - ((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)) mod (2 + 2)) + 1)
A079730: 1 2 2 3 3 4 4 4 1 1 1 2 2 2 2 3
((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) mod (2 + 2)) + 1)
A063826: 1 2 3 3 4 4 1 1 1 2 2 2 3 3 3 3
(((((((x + 2) + 1) * (x + 2)) + 2) * (2 + 1)) + 1) * ((2 + 2) + 1))
A038867: 125 215 335 485 665 875 1115 1385 1685 2015 2375 2765 3185 3635 4115 4625
((((((x + 1) mod (2 + 1)) + x) * ((x mod 2) + 1)) + 1) div ((2 + 2) + 1))
A117172: 0 1 0 1 1 2 1 3 1 4 2 4 2 6 3 6
(x - ((((x * x) div ((((2 + 1) * 2) + 1) * 2)) - 1) div ((2 + 2) + 1)))
A308936: 1 2 3 4 4 5 6 7 8 9 9 10 11 11 12 12
(2 - (((((x - (x div (2 + 1))) div (2 + 1)) * 2) + 1) mod ((2 + 2) + 1)))
A037868: 1 1 1 1 ~1 ~1 ~1 ~1 2 2 2 2 2 0 0 0
((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A070628: 0 1 32 18 34 20 36 22 8 9 10 41 27 43 29 0
(((((x * 2) * (x + 1)) * ((x * 2) + 1)) div (2 + 1)) * ((2 + 2) + 1))
A188050: 0 20 100 280 600 1100 1820 2800 4080 5700 7700 10120 13000 16380 20300 24800
(x - ((x div 2) - ((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1))))
A190336: 2 5 8 11 14 17 19 23 25 29 31 34 37 40 43 46
(((x - ((x div (((2 + 1) * 2) + 1)) * 2)) * (2 + 1)) div ((2 + 2) + 1))
A194227: 0 0 1 1 2 3 3 3 3 4 4 5 6 6 6 6
((x + 1) mod (2 - (((x div (2 + 1)) * (x div (2 + 1))) mod ((2 + 2) + 1))))
A014429: 1 0 1 0 0 0 ~1 0 ~1 0 ~1 0 0 0 0 0
(x - ((((((x div 2) mod ((2 + 2) + 1)) - x) * 2) - 1) div ((2 + 2) + 1)))
A175020: 1 2 3 4 5 7 8 9 10 12 15 16 17 18 19 21
((((((x + 2) + 2) * x) * (x + 1)) * ((x + 2) + 1)) div ((2 + 2) + 1))
A032768: 0 8 36 100 224 432 756 1232 1900 2808 4004 5544 7488 9900 12852 16416
((((x * x) * x) * (x * x)) mod ((((2 + 2) + 1) * 2) * ((2 + 2) + 1)))
A167528: 0 1 32 43 24 25 26 7 18 49 0 1 32 43 24 25
(((((x * x) - (x div ((0 - 2) - 2))) * (2 + 1)) div 2) div ((2 + 2) + 1))
A228848: 0 0 1 3 5 8 11 15 19 25 30 37 44 51 60 68
((x - (((x * 2) * 2) * (2 + 1))) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A064264: 0 19 8 27 16 5 24 13 2 21 10 29 18 7 26 15
(((((2 + 2) * (2 + 1)) - 1) * x) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A064263: 0 11 22 3 14 25 6 17 28 9 20 1 12 23 4 15
(((x + 1) mod (((2 + 2) + 1) * 2)) + (((x + 1) * 2) * ((2 + 2) + 1)))
A302575-A160861-A067042: 11 22 33 44 55 66 77 88 99 100 111 122 133 144 155 166
((((x + 1) * x) div ((2 - ((x div (0 - 2)) mod 2)) * 2)) * ((2 + 2) + 1))
A330082: 0 5 15 15 25 75 105 70 90 225 275 165 195 455 525 300
((((x * x) * (x * x)) * (x * x)) mod (((2 + 2) * 2) * ((2 + 2) + 1)))
A070663: 0 1 24 9 16 25 16 9 24 1 0 1 24 9 16 25
((((((x * 2) * 2) * (2 + 1)) - (x div (2 + 2))) * 2) div ((2 + 2) + 1))
A172329: 0 4 9 14 18 23 28 33 37 42 47 52 56 61 66 70
((x * 2) - (((((x + 1) mod ((2 + 2) + 1)) + x) * 2) div ((2 + 2) + 1)))
A047542: 0 1 2 4 7 8 9 10 12 15 16 17 18 20 23 24
(((((((2 + 2) * 2) * (x + 1)) * (2 + 1)) + x) * 2) * ((2 + 2) + 1))
A154378: 240 490 740 990 1240 1490 1740 1990 2240 2490 2740 2990 3240 3490 3740 3990
((x + 1) mod (2 - (((((x * x) div (2 + 1)) - x) div 2) mod ((2 + 2) + 1))))
A014093: 1 0 ~1 0 1 0 0 0 0 0 0 0 0 0 1 0
(2 - ((((((x div (2 + 2)) + 2) + 2) * (1 - x)) + 2) div ((2 + 2) + 1)))
A270189: 1 2 3 4 5 6 7 8 10 12 13 14 17 19 20 22
(((((x + 2) * (x + 2)) + ((2 + 1) * 2)) * (x + 2)) * ((2 + 2) + 1))
A027604: 100 225 440 775 1260 1925 2800 3915 5300 6985 9000 11375 14140 17325 20960 25075
((((((x * x) + 2) * x) div (((2 + 2) * 2) + 1)) + x) div ((2 + 2) + 1))
A177189: 0 0 0 1 2 4 6 9 13 18 24 32 41 52 64 78
((x - (((x + 2) * x) div (((2 + 2) * (2 + 1)) + x))) + ((2 + 2) + 1))
A205691: 5 6 7 7 8 8 9 9 9 10 10 10 10 11 11 11
(((((x + 2) + 2) * (x + 2)) + 2) + (0 - ((1 - x) div ((2 + 2) + 1))))
A034107: 10 17 27 38 51 66 83 103 124 147 172 199 229 260 293 328
((((((x * x) * x) div 2) div (2 + 1)) + ((x + 1) * x)) div ((2 + 2) + 1))
A122047: 0 0 1 3 6 10 15 22 31 42 55 70 88 109 133 160
((((((x * x) - 2) * x) div (((2 + 2) * 2) * 2)) + x) div ((2 + 2) + 1))
A177277: 0 0 0 0 1 2 3 5 7 10 14 18 23 29 36 44
(((((x div 2) - ((2 - x) div ((x div 2) + 2))) div 2) + x) + ((2 + 2) + 1))
A144222: 4 6 7 9 10 11 13 14 15 17 18 19 21 22 23 24
((((x * 2) * 2) * 2) - (x - (((x div (2 + 2)) - x) div ((2 + 2) + 1))))
A004919: 0 6 13 20 27 34 41 47 54 61 68 75 82 89 95 102
((((x * 2) * (2 + 1)) + 2) - ((((x div 2) mod 2) - x) div ((2 + 2) + 1)))
A184531: 2 9 15 21 27 33 39 46 52 58 64 70 77 83 89 95
(((x - ((x div (((0 - 2) - 2) - 1)) * 2)) + 1) + (x div ((2 + 2) + 1)))
A047568: 1 4 5 6 7 9 12 13 14 15 17 20 21 22 23 25
(((((x div 2) * (2 + 1)) div 2) + (x div (2 + 1))) + (x div ((2 + 2) + 1)))
A187325: 0 0 1 2 4 5 7 7 9 10 12 12 15 15 16 18
((((((2 + 2) * (2 + 1)) - 1) * 2) * (x + 1)) + (x div ((2 + 2) + 1)))
A277051: 22 44 66 88 110 133 155 177 199 221 244 266 288 310 332 355
((((2 + 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + (x mod ((2 + 2) + 1)))
A283365: 0 1 2 3 4 1 2 3 4 5 2 3 4 5 6 1
((((((x * 2) * 2) * (x + 1)) + 1) div (2 + 1)) + (x mod ((2 + 2) + 1)))
A160425: 0 4 10 19 31 40
(x - (((((x div ((2 + 2) + 1)) mod 2) * 2) * 2) - (x mod ((2 + 2) + 1))))
A133311: 0 2 4 6 8 1 3 5 7 9 10 12 14 16 18 11
(((x * 2) - (((((x * x) * x) mod ((2 + 2) + 1)) + x) div (2 + 2))) + 1)
A225647: 1 3 4 6 7
A206903: 1 3 4 6 7 10 12 13 15 16 19 20 22 24 25 28
((((x + 2) * x) + 2) mod (((((x * x) mod (2 + 1)) + x) div (2 + 2)) + 1))
A237253: 0 0 0 0 0 1 0 2 1 2 2 1 2 1 2 1
((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div (2 + 2)) + 1)
A306210-A202176-A202175-A168443-A156041: 1 1 1 1 2 1 1 2 3 1 1 3 4 4 1 1
((2 + 1) div ((((x + 1) * x) mod (((x div (2 + 2)) + x) + (2 + 2))) + 1))
A136157: 3 1 3 0 1 3 0 0 1 3 0 0 0 1 3 0
((((2 + 2) * (x + 1)) + 1) - ((((x div (2 + 2)) - x) mod (2 + 2)) + 1))
A287578: 4 5 10 15 19 24 25 30 34 39 44 45 49 54 59 64
(((((((((x * x) + 2) * x) div (2 + 1)) + x) + 2) * x) div (2 + 2)) + 1)
A116701: 1 2 5 13 31 66 127 225 373 586 881 1277 1795 2458 3291 4321
((((x - (((x - 1) div (2 + 1)) * 2)) div (2 + 1)) + (x div (2 + 2))) + 1)
A087828: 1 1 1 2 2 3 3 3 4 4 4 4 6 5 6 6
((((((((x + 1) div 2) div 2) * (x div 2)) div 2) div 2) + (x div (2 + 2))) + 1)
A029073: 1 1 1 1 2 2 2 3 5 5 5 6 8 8 9 11
(((x mod ((x mod ((x div (2 + 1)) + 2)) + 1)) + 1) mod ((x div (2 + 2)) + 1))
A209315: 0 0 0 0 1 1 1 0 1 2 1 2 1 2 3 2
((((((x * x) div 2) * (x * x)) div 2) div (2 + 1)) mod ((x div (2 + 2)) + 1))
A067167: 0 0 0 0 1 0 0 0 2 0 2 1 0 2 1 0
((((((((x * x) * x) * ((x + 1) div 2)) div (2 + 1)) + x) div 2) div 2) + 1)
A057579: 1 1 2 6 12 33
(((((((x div ((2 + 2) * 2)) + (x div 2)) * (2 + 1)) + x) div 2) div 2) + 1)
A111581: 1 1 2 2 3 3 4 5 6 7 8 8 9 9 10 10
((((((((x div (2 + 1)) mod 2) + (2 + 1)) mod (x + 1)) + x) div 2) mod 2) + 1)
A306366: 1 2 2 2 1 1 1 2 2 1 2 2 2 1 1 2
((((((x - ((x div ((x mod (2 + 1)) + 1)) mod 2)) div 2) + x) + 2) * 2) + 1)
A339911: 5 7 11 13 17 19 23 25 29 31 33 37 41 43 47 49
(((((((x - (((x div 2) div (0 - 2)) div 2)) div 2) * 2) + x) + 2) * 2) + 1)
A086844: 5 7 13 19 21 27 29 35 37 43 49 51 57 59 65 67
((((x * 2) - ((((x * x) + 1) div (((2 + 2) * 2) + x)) div 2)) + 2) + 1)
A248633: 3 5 7 9 11 12 14 16 17 19 21 22 24 25 27 29
(((((((((x * x) div (2 + 2)) * (x - 1)) + x) div 2) * x) div 2) div 2) + 1)
A057578: 1 1 1 3 9 18 38
((((((x + 2) div (((2 + 2) * (2 + 1)) - (x div 2))) + x) + 2) * 2) + 1)
A108144: 5 7 9 11 13 15 17 21 23 25 27 29 33 35 39 41
((x + 1) div (((((x div ((x mod (0 - 2)) - 2)) * 2) mod (x + 2)) * 2) + 1))
A029349: 1 0 0 0 1 0 1 1 1 0 2 1 2 1 3 1
((((((x * x) + 2) * ((2 + 2) + 1)) - 1) div 2) div (((x + 2) + 2) + 1))
A047894: 0 1 2 3 4 6 8 10 12 14 16 19 21 23 26 28
(((((((x + 1) * x) div ((2 + 2) * (0 - 2))) mod 2) + (x * 2)) * 2) + 1)
A092246: 1 7 11 13 19 21 25 31 35 37 41 47 49 55 59 61
((((((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2) + (x * 2)) * 2) + 1)
A129771: 3 5 9 15 17 23 27 29 33 39 43 45 51 53 57 63
(((((x + 1) div (((x - 1) div ((x div 2) + 2)) + 2)) + (x * 2)) * 2) + 1)
A285600: 3 7 11 17 21 25 29 33 39 43 47 53 57 61 67 71
(((((((x * 2) * 2) + 1) * 2) * (2 + 1)) + x) * (((x * 2) * 2) + 1))
A157626: 6 155 504 1053 1802 2751 3900 5249 6798 8547 10496 12645 14994 17543 20292 23241
((((x * x) div (((x div (2 + 2)) + x) + 2)) + x) + (((x * 2) * 2) + 1))
A315706: 1 6 12 17 23 29 35 40 46 52 58 64 69 75 81 87
((((((((x mod 2) + (x * 2)) * 2) + 1) * (2 + 1)) + (x div 2)) * 2) + 1)
A159254: 7 43 57 93 107 143 157 193 207 243 257 293 307 343 357 393
((((((((x - (x div (0 - 2))) * 2) + 1) * 2) * 2) + (x div 2)) * 2) + 1)
A159754: 9 41 59 91 109 141 159 191 209 241 259 291 309 341 359 391
(x mod ((((((((x div 2) * x) mod 2) * x) div (2 + 2)) * (x div 2)) div 2) + 1))
A336530: 0 0 0 0 0 0 0 1 0 0 0 5 0 0 0 4
(((((((x - 2) * 2) mod ((x div (2 + 2)) + 2)) + 1) + (x mod 2)) div 2) + 1)
A244964: 1 2 1 2 2 2 2 2 1 3 1 3 1 3 3 2
((((((((x div 2) + 1) div 2) * x) div ((2 + 2) + 1)) + (x mod 2)) div 2) + 1)
A321423-A035451: 1 1 1 1 1 2 2 2 2 3 4 4 4 5 6 7
((((((((x div 2) * (2 + 1)) + x) + 2) * (2 + 1)) - (x mod 2)) * 2) + 1)
A248474: 13 17 43 47 73 77 103 107 133 137 163 167 193 197 223 227
(((((x + 2) * (x + 1)) div 2) * ((x div 2) + 1)) * (((x mod 2) * 2) - 1))
A122576: ~1 3 ~12 20 ~45 63 ~112 144 ~225 275 ~396 468 ~637 735 ~960 1088
(((((x + 1) * x) div ((((x + 1) * x) mod (2 + 1)) + 1)) + 1) * (2 + 1))
A130723: 3 3 21 39 21 93 129 57 219 273 111 399 471 183 633 723
((1 - ((x * 2) mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 1))) mod (2 + 1))
A337586: 1 1 1 1 1 1 1 2 1 1 1 0 0 1 1 1
((1 - ((x + 1) mod ((x div (((x mod (2 + 1)) * 2) + 1)) + 1))) mod (2 + 1))
A233323-A233321: 1 1 1 1 0 1 1 2 0 1 1 1 1 0 1 1
(((((x * 2) - ((x div (2 + 1)) mod 2)) * ((2 + 2) + 1)) + 1) div (2 + 1))
A028972: 0 3 7 8 12 15 20 23 27 28 32 35 40 43 47 48
(((((x - 1) mod (2 + 1)) + 1) * ((x div ((2 + 2) + 1)) + 1)) div (2 + 1))
A025835: 1 0 0 1 0 1 2 0 1 2 1 2 3 1 2 4
(x - ((x div (2 + 1)) - (x - ((((x - 1) div (2 + 1)) - 1) div (2 + 1)))))
A054353: 1 3 5 6 7 9 10 12 14 15 17 19 20 21 23 24
((((((2 + 2) * (x + 1)) + x) mod ((2 + 2) * (2 + 1))) + 1) div (2 + 1))
A190561: 1 3 1 2 0 2 3 1 3 0 2 4 1 3 1 2
((((((x div (2 - ((x div 2) mod 2))) * x) * 2) div (2 + 1)) + 1) mod (2 + 1))
A185158: 1 1 0 1 0 1 1 0 1 1 1 0 1 2 2 1
(((x + 2) * x) - (((((1 - x) * (x * 2)) div (2 + 1)) - 1) div (2 + 1)))
A022789: 1 4 9 17 27 40 55 73 93 116 141 168 198 230 265 302
(((((((x * x) * x) div ((2 + 2) + 1)) - x) div (2 + 1)) + 1) mod (2 + 1))
A025836: 1 0 0 1 0 1 1 0 2 1 1 2 1 2 2 2
(((x div (0 - ((x mod (2 + 2)) + 1))) mod ((x div (2 + 1)) + 1)) mod (2 + 1))
A255920: 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 2
((((((x - 1) mod ((2 + 2) + 1)) + 1) mod ((x div 2) + 1)) + 1) div (2 + 1))
A135549: 0 0 0 0 0 1 0 1 1 1 2 0 1 1 1 2
((1 - ((x + 1) mod (((x mod ((0 - 2) * (2 + 1))) * 2) - 1))) mod (2 + 1))
A263343: 1 1 1 1 1 1 1 1 1 2 2 1 1 0 1 0
(((x + 1) * 2) - ((((2 - x) * 2) div (((2 + 1) * 2) + 1)) * (2 + 1)))
A327309: 2 4 6 11 13 15 20 22 24 26 31 33 35 40 42 44
(((x * 2) - (((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) - 1)) mod (2 + 1))
A060572: 1 2 2 1 0 1 1 2 2 0 0 2 1 2 2 1
(((x mod (1 - ((x div (((x div 2) div (0 - 2)) - 2)) * 2))) + 1) div (2 + 1))
A059848: 0 0 1 0 1 0 0 1 1 1 0 1 2 2 0 0
((((x * 2) mod (1 - (x div ((x mod ((0 - 2) - 2)) - 2)))) + 1) mod (2 + 1))
A144451: 1 1 1 1 0 1 1 0 2 1 1 0 1 0 1 1
(((((x - (((x div ((0 - 2) - 2)) - 1) div 2)) * 2) * 2) + 1) div (2 + 1))
A141259: 1 3 4 5 7 9 11 12 13 15 16 17 19 21 23 24
(((1 - (x * 2)) mod ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) div (2 + 1))
A115201: 0 1 0 0 1 0 1 0 2 1 0 0 1 1 0 2
((1 - (x mod ((((x + 1) mod (((x div 2) mod 2) + 2)) * 2) + 1))) mod (2 + 1))
A211312: 1 1 1 1 0 1 1 2 2 1 1 1 1 1 1 1
(x div ((((x - ((x * x) div (2 + 2))) mod ((2 + 2) * 2)) + 1) * (2 + 1)))
A067631: 0 0 0 0 1 0 0 0 2 0 1 0 4 1 0 0
(((((x * x) * (x - 1)) * (x + 2)) div (((2 + 2) * 2) + 1)) mod (2 + 1))
A083570: 0 0 1 1 2 2 1 0 2 0 0 1 1 2 2 1
(((x * x) - ((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1))) * (2 + 1))
A153875: 0 3 39 108 210 345 513 714 948 1215 1515 1848 2214 2613 3045 3510
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070650: 0 1 10 0 19 19 0 10 1 0 1 10 0 19 19 0
(1 - ((x mod 2) - (((x - 1) mod (((x div (2 + 2)) + 2) + 1)) div (2 + 1))))
A292342: 1 0 1 0 2 0 1 0 1 1 2 0 2 0 1 0
(((((x + 2) * x) div 2) mod ((x div ((x div (2 + 2)) + 2)) + 1)) mod (2 + 1))
A345446: 0 0 0 1 0 1 0 1 1 1 0 2 0 1 1 0
((((x * 2) * 2) * 2) - ((((x - (x div (2 + 2))) div 2) - 1) * (2 + 1)))
A035337: 3 11 16 24 32 37 45 50 58 66 71 79 87 92 100 105
(((x + 2) + 1) div (2 - (x - (((((x mod 2) + 2) + 2) + 1) * (2 + 1)))))
A210714: 0 0 0 0 0 0 0 0 1 1 1 1 3 2 5 3
(((((x * 2) mod (((1 - x) div (2 + 1)) - 1)) mod (2 + 2)) + 1) mod (2 + 1))
A281871: 1 1 1 1 1 0 1 1 1 0 1 2 1 1 0 1
((1 - ((x mod ((2 + 2) + 1)) mod (((x - 1) mod (2 + 2)) + 1))) mod (2 + 1))
A277045: 1 1 1 1 1 1 0 2 1 1 1 0 2 1 1 1
(((((x * 2) mod (((x div (2 + 2)) + 2) + 2)) mod (2 + 2)) + 1) mod (2 + 1))
A198062-A103631: 1 0 1 0 1 1 0 1 1 1 0 1 1 2 1 0
((((x div (((x mod 2) + 2) + 1)) * (x + 1)) mod ((2 + 2) + 1)) mod (2 + 1))
A035395: 0 0 0 0 0 1 1 0 0 0 0 1 2 2 0 0
((((((x mod ((x mod 2) + 2)) + 2) - x) div 2) mod ((2 + 2) + 1)) mod (2 + 1))
A255319: 1 1 0 1 1 1 0 0 2 1 1 1 0 0 1 0
(1 - (((x mod ((2 + 2) * 2)) - ((1 - x) div ((2 + 2) + 1))) mod (2 + 1)))
A342708-A177978: 1 0 1 0 ~1 1 0 1 ~1 1 0 ~1 0 ~1 1 0
(((((((x - 1) div 2) * (x div 2)) div 2) + x) * ((2 + 2) + 1)) div (2 + 1))
A108279: 0 1 3 5 8 11 15 18 23 28 33 38 45 51 58 65
((((2 + 2) * (x + 1)) + x) - ((x - (x div ((2 + 2) + 1))) div (2 + 1)))
A182778: 4 9 14 18 23 28 33 37 42 47 52 56 61 66 70 75
((((((((x * x) * 2) + 1) * ((x + 2) * x)) div 2) div 2) + 1) div (2 + 1))
A274772: 0 1 6 24 66 149 292 520 860 1345 2010 2896 4046 5509 7336 9584
((x + 2) div ((((x mod (((2 + 2) * 2) - (x mod 2))) * 2) + 1) * (2 + 1)))
A199261: 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 1
((1 - (x div ((((x + 1) mod ((2 + 1) * 2)) + 1) * (2 + 1)))) mod (2 + 1))
A227009: 1 1 1 1 1 0 0 1 1 1 1 1 2 0 0 0
(x - ((x - ((((x * 2) - 1) div ((2 + 2) + 1)) mod (2 + 1))) div (2 + 1)))
A006161: 1 1 2 3 3 4 5 6 6 6 7 8 9 10 10 11
(1 - (x - (((x * 2) - ((x div ((2 + 2) + 1)) * (2 + 1))) * (2 + 1))))
A080904: 1 6 11 16 21 17 22 27 32 37 33 38 43 48 53 49
((((((((2 + 2) * 2) * 2) * 2) * 2) mod (x + 1)) div (2 + 1)) mod (2 + 1))
A154234: 0 0 0 0 1 1 0 0 0 1 0 1 1 2 1 0
((((((2 + 2) * 2) * 2) * (x + 1)) + ((x + 1) div (2 + 1))) div (2 + 1))
A277645: 5 10 16 21 27 32 38 43 49 54 59 65 70 76 81 87
(((((((x div 2) mod (2 + 1)) - 1) mod (x + 1)) + 2) div (2 + 1)) mod (2 + 1))
A147693: 0 1 0 0 1 1 2 0 0 0 1 1 1 2 0 0
(x - (2 - ((((x + 1) * 2) - (((x + 1) div 2) div (2 + 1))) * (2 + 1))))
A242679: 4 11 18 25 32 36 43 50 57 64 71 75 82 89 96 103
(((((x * 2) + 1) * 2) div (x - (((x - 1) div 2) div (2 + 1)))) mod (2 + 1))
A225152: 2 0 2 1 1 1 1 2 1 1 1 1 1 1 1 1
((((((x * x) * 2) - 1) * x) * x) mod (((2 + 2) * (2 + 1)) * (2 + 1)))
A070659: 0 1 28 9 28 1 0 1 28 9 28 1 0 1 28 9
((x - (((x * x) mod (((2 + 2) * 2) + (x div 2))) div (2 + 1))) mod (2 + 1))
A104886: 0 1 1 0 2 1 2 0 1 0 1 1 2 1 2 0
(x - ((((((x - 1) div (2 + 1)) - x) * 2) - (x div (2 + 1))) div (2 + 1)))
A216345: 1 2 4 6 7 8 10 11 13 15 16 18 20 21 22 24
(((x + 1) * (2 + 1)) - ((((x mod 2) - x) - (x div (2 + 1))) div (2 + 1)))
A194028: 3 6 10 13 17 20 24 27 31 34 38 41 45 48 51 55
((((((x * x) div (2 + 1)) mod (x + 1)) + 2) + (x mod (2 + 1))) div (2 + 1))
A077766: 0 1 1 1 1 2 2 1 2 3 1 2 3 1 3 4
(((((((((x + 2) * 2) * 2) * 2) + x) + 1) * (x + 2)) + 1) * (2 + 1))
A250757: 105 237 423 663 957 1305 1707 2163 2673 3237 3855 4527 5253 6033 6867 7755
(((((x + 2) * (x + 1)) div 2) * (((x + 2) * (x + 2)) - 1)) div (2 + 1))
A002417: 1 8 30 80 175 336 588 960 1485 2200 3146 4368 5915 7840 10200 13056
(((((((x + 2) + 2) * 2) + 1) * (x + 1)) * ((x * 2) + 1)) * (2 + 1))
A216108: 27 198 585 1260 2295 3762 5733 8280 11475 15390 20097 25668 32175 39690 48285 58032
((((((x + 2) + 2) * ((x * x) - 1)) div 2) * ((x * 2) + 1)) + (2 + 1))
A003878: 1 3 48 199 543 1191 2278 3963 6429 9883 14556 20703 28603 38559 50898 65971
((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + (((x * 2) + 1) * (2 + 1)))
A246298: 3 9 15 22 28 34 40 47 53 59 66 72 78 84 91 97
((((((x + 2) * x) + 2) * 2) * (x + 1)) div (((x * 2) + 1) * (2 + 1)))
A231408: 1 2 4 6 9
A294860: 1 2 4 6 9 13 17 23 28 35 42 50 58 68 77 88
(((((x - (x div (2 + 2))) div 2) + 1) div 2) + (((x * 2) + 1) * (2 + 1)))
A184529: 3 9 16 22 28 34 40 47 53 59 65 71 77 84 90 96
(((x - (x div ((((2 + 2) * 2) * 2) - x))) * ((x * 2) + 1)) mod (2 + 1))
A227188: 0 0 1 0 0 1 0 0 2 2 0 0 0 0 2 0
((((1 - ((x mod 2) * 2)) - (x mod (2 + 1))) mod ((x * 2) - 1)) div (2 + 1))
A066246: 0 0 0 1 0 2 0 3 4 5 0 6 0 7 8 9
((((x mod (((2 - x) div (2 + 1)) - 1)) + 1) mod ((x div 2) + 1)) mod (2 + 1))
A029834: 0 0 1 0 1 0 1 0 0 0 2 0 2 0 0 0
((((((x * 2) * 2) * ((2 + 2) + 1)) + 1) mod ((x div 2) + 1)) mod (2 + 1))
A225192: 0 0 1 1 0 2 1 1 1 1 0 2 0 2 1 2
((x - (((((x mod 2) - x) - 1) * 2) - 1)) + (((x div 2) + 1) div (2 + 1)))
A277138: 3 4 9 10 16 17 22 23 28 29 35 36 41 42 47 48
((x + 1) div ((((x div ((2 + 2) * 2)) + 1) * ((x mod 2) + 1)) * (2 + 1)))
A275849: 0 0 1 0 1 1 2 1 1 0 1 1 2 1 2 1
(((2 + 1) * x) mod (x - (((((x div 2) mod (2 + 1)) - x) - 1) div (2 + 1))))
A297158-A065358: 0 1 0 1 2 1 0 1 2 3 4 3 2 3 4 5
(((((((x * x) * x) + 1) * x) div 2) * (((x + 1) * x) + 1)) div (2 + 1))
A059721: 0 1 21 182 910 3255 9331 22876 49932 99645 185185 324786 542906 871507 1351455 2034040
(((((((2 + 1) * x) + 2) * 2) * 2) * (((x + 2) * x) + 1)) * (2 + 1))
A192491: 24 240 864 2112 4200 7344 11760 17664 25272 34800 46464 60480 77064 96432 118800 144384
(((1 - ((x * 2) mod (((x + 1) div (2 + 1)) + 1))) mod (x + 1)) mod (2 + 1))
A136567: 0 1 1 1 1 0 1 1 1 0 1 2 1 0 0 1
(((((((2 + 2) * 2) * (x + 1)) * (x + 1)) + 1) * (x + 1)) * (2 + 1))
A216112: 27 198 657 1548 3015 5202 8253 12312 17523 24030 31977 41508 52767 65898 81045 98352
((((((((2 + 2) + 1) * x) + 2) * (x + 1)) + 1) * (x + 1)) div (2 + 1))
A096000: 1 10 37 92 185 326 525 792 1137 1570 2101 2740 3497 4382 5405 6576
((((((((x + 2) * x) div (2 + 2)) + 1) * 2) + 1) * (x + 1)) div (2 + 1))
A059329: 1 2 7 12 25 38 63 88 129 170 231 292 377 462 575 688
(((((((x + 2) * x) * (2 + 1)) div (2 + 2)) + 1) * (x + 1)) * (2 + 1))
A235988: 3 18 63 144 285 486 777 1152 1647 2250 3003 3888 4953 6174 7605 9216
(((((2 - (x mod 2)) * (x mod (2 + 2))) * (2 + 1)) mod (x + 1)) mod (2 + 1))
A115079: 0 1 0 1 0 0 2 1 0 0 1 0 0 0 0 0
((((x mod ((((x mod (2 + 2)) * 2) * 2) + 1)) div 2) * (x + 1)) mod (2 + 1))
A292261: 0 0 0 1 0 0 0 0 0 2 0 0 0 2 0 1
((((((((x + 2) * 2) * 2) - 1) * (x + 1)) + 2) * (x + 1)) div (2 + 1))
A172482: 3 16 47 104 195 328 511 752 1059 1440 1903 2456 3107 3864 4735 5728
(compr(\x.(2 - (x mod (((x mod ((2 + 2) + 1)) + 2) + 2))),(x + 1)) mod (2 + 1))
A026612: 0 1 1 1 2 0 2 0 1 1 2 0 2 0 2 0
((((((((x + 2) * (x + 2)) + 1) div 2) + 2) * 2) * (x + 1)) * (2 + 1))
A192838: 24 84 180 360 600 972 1428 2064 2808 3780 4884 6264 7800 9660 11700 14112
(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))
A336225-A067138-A063711-A059692-A057893-A048720-A004247: 0 0 0 0 1 0 0 2 2 0 0 3 4 3 0 0
((((((((2 + 2) * 2) * (x + 1)) - 1) * x) * 2) * (x + 1)) div (2 + 1))
A200431: 0 20 92 248 520 940 1540 2352 3408 4740 6380 8360 10712 13468 16660 20320
((((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) mod 2) + ((x + 1) * (2 + 1)))
A284819: 3 7 9 12 15 19 21 25 27 30 34 36 39 43 45 48
(((x div ((2 + 2) * 2)) + (((x + 1) div 2) div 2)) + ((x + 1) * (2 + 1)))
A190363: 3 6 9 13 16 19 22 26 30 33 36 40 43 46 49 53
(((x + 2) - ((x div (2 + 1)) div ((0 - 2) - 1))) + ((x + 1) div (2 + 1)))
A156247: 2 3 5 7 8 10 11 12 14 15 16 18 20 21 23 24
(x - (((((x div (2 + 1)) + 1) div (2 + 1)) * 2) + ((x + 1) div (2 + 1))))
A289831: 0 1 1 2 3 3 2 3 3 4 5 5 6 7 7 6
((2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) + ((x + 1) div (2 + 1)))
A204330: 1 2 3 4 4 5 5 6 7 7 7 8 8 8 9 10
((((((2 - (x div 2)) mod (x + 2)) div 2) div 2) + x) + ((x + 1) div (2 + 1)))
A190941: 0 1 3 4 5 7 9 11 13 14 15 17 18 19 21 23
(((((((x * x) div (2 + 2)) + x) + 1) div 2) + x) + ((x + 1) mod (2 + 1)))
A011981: 1 4 4 7 10 11 15
(((((((x + 1) * x) div 2) * ((2 + 2) + 1)) + x) * (x + 1)) div (2 + 1))
A162148: 0 4 17 44 90 160 259 392 564 780 1045 1364 1742 2184 2695 3280
((((((((2 + 1) * x) + 2) * (x + 1)) + 2) * x) * (x + 1)) div (2 + 1))
A035288: 0 8 52 184 480 1040 1988 3472 5664 8760 12980 18568 25792 34944 46340 60320
(((((x * x) mod ((((x + 1) mod (2 + 1)) * 2) + 1)) + 1) div 2) * (2 + 1))
A033685: 0 3 0 0 3 0 0 6 0 0 0 0 0 6 0 0
(((((x * 2) mod ((2 - (x div ((0 - 2) - 2))) + 1)) + 1) div 2) mod (2 + 1))
A051126: 0 1 0 1 0 0 1 2 1 0 1 2 0 0 0 1
(((((2 + 1) * x) div (((x + 2) div ((2 + 2) + 1)) + 1)) + 2) div (2 + 1))
A177903: 0 1 2 2 2 3 3 4 3 3 4 4 4 3 4 4
((((x - 1) mod ((((x mod 2) * x) div ((2 + 2) + 1)) + 1)) * 2) * (2 + 1))
A308091: 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 12
(((x - ((((x div 2) - 1) mod ((x div (2 + 2)) + 1)) - 1)) * 2) div (2 + 1))
A163801: 0 1 2 2 2 3 4 5 6 6 6 7 8 8 8 9
(((((((x div (2 + 2)) * 2) - 1) * (x div (2 + 1))) + 1) div 2) * (2 + 1))
A161836: 0 0 0 0 3 3 3 3 9 15
((((x + 2) * 2) + 1) div (((x div (((2 + 1) * 2) + 1)) + 2) * (2 + 1)))
A232270: 0 1 1 1 2 2 2 2 2 2 2 3 3 3 2 2
(1 - ((x mod 2) - ((((x * x) div (((2 + 1) * 2) + 1)) + 2) div (2 + 1))))
A029137: 1 0 1 1 2 1 3 3 4 4 6 6 8 8 11 11
((((((x + 1) div 2) div (2 - ((x mod (2 + 1)) mod 2))) + 1) * 2) div (2 + 1))
A290981: 0 1 0 1 2 1 1 3 2 2 4 2 2 5 2 3
(x - ((x div 2) - (((((x - (x div (0 - 2))) * 2) + 1) * 2) * (2 + 1))))
A155097: 6 31 43 68 80 105 117 142 154 179 191 216 228 253 265 290
(((((((((x + 1) * x) div (2 + 2)) + 1) div 2) * 2) + 1) * 2) div (2 + 1))
A308632: 0 0 2 3 4 6 7 10 12 15 19
(x - ((((((x - ((x div 2) mod (2 + 2))) div 2) * 2) + 1) * 2) div (2 + 1)))
A295164-A241419: 0 1 2 1 2 3 4 4 2 3 4 4 5 6 7 7
(((x - (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) div 2) mod (2 + 1))
A275850: 0 0 1 1 1 0 2 2 2 2 1 1 2 1 1 1
((((((x * x) div (2 + 2)) * x) div (((2 + 2) * 2) + 1)) + 2) div (2 + 1))
A237826: 0 0 0 0 1 1 2 3 5 7 9 12 16 20 26 31
(((((x * 2) mod (((1 - x) mod ((x div 2) + 2)) + 2)) + 1) div 2) mod (2 + 1))
A181169: 0 0 0 0 1 0 0 1 1 0 0 2 2 1 0 0
(((((x * 2) - ((x div (2 + 2)) + 1)) mod ((2 + 2) + 1)) + 2) div (2 + 1))
A341281: 2 1 1 0 1 1 0 1 1 0 1 2 0 1 2 1
((x - (((1 - ((x * 2) div (2 + 1))) mod ((2 + 2) + 1)) div 2)) mod (2 + 1))
A274920: 0 1 2 1 2 1 2 0 2 0 1 0 2 0 1 0
(((((x + 2) * 2) - ((1 - (x div 2)) div ((2 + 2) + 1))) * 2) div (2 + 1))
A284895: 2 4 5 6 8 10 11 12 14 15 16 18 19 20 22 24
(((x - (((2 - ((x div (2 + 2)) + x)) div (2 + 2)) - 1)) * 2) * (2 + 1))
A232742: 6 12 18 30 36 42 54 60 66 78 84 90 102 108 114 120
(((2 - (((2 - x) + 2) mod (((2 - x) div (2 + 2)) - 1))) * 2) div (2 + 1))
A324905-A240231: 1 1 1 2 1 2 1 1 2 2 1 3 1 2 2 2
((((((x * x) * (x + 1)) div 2) * (((x + 2) + 2) + 1)) div 2) div (2 + 1))
A014205: 0 1 7 24 60 125 231 392 624 945 1375 1936 2652 3549 4655 6000
((((((x * x) * (x + 2)) div 2) mod (((x + 2) + 2) + 1)) div 2) div (2 + 1))
A193510: 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 2
(((x - 1) * x) mod ((((1 - (x div (2 + 1))) mod (2 + 1)) + 2) * (2 + 1)))
A300222: 0 0 2 0 0 2 6 6 8 0 0 2 0 0 2 6
(x - (1 - (((1 - ((2 - x) div ((2 + 2) * (2 + 1)))) * 2) * (2 + 1))))
A111018: 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 32
(2 - ((((((2 - x) div 2) mod (2 + 2)) + (x mod (2 + 1))) + 2) div (2 + 1)))
A182641: 1 1 1 1 0 0 1 1 1 2 1 0 1 1 0 1
((((((2 div ((x div (2 + 2)) + 1)) mod 2) + (x * 2)) + 1) * 2) div (2 + 1))
A317544: 0 2 3 4 6 8 9 10 11 12 14 15 16 18 19 20
(((((((x * x) * (x + 2)) * (x + 1)) div 2) * (x + 1)) div 2) div (2 + 1))
A004302: 0 1 12 60 200 525 1176 2352 4320 7425 12100 18876 28392 41405 58800 81600
((((((((x - 1) mod (2 + 1)) + x) div 2) * 2) mod (x + 1)) + 2) div (2 + 1))
A295989: 0 0 1 0 2 0 1 2 3 0 4 0 1 4 5 0
((((((2 + 1) * x) - 2) * x) * (((x + 2) * (x + 1)) div 2)) div (2 + 1))
A220212: 0 1 16 70 200 455 896 1596 2640 4125 6160 8866 12376 16835 22400 29240
(((((((2 + 2) * (2 + 1)) + x) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A060488: 4 13 28 50 80 119 168 228 300 385 484 598 728 875 1040 1224
((((x - 1) * 2) div (((2 + 1) * 2) + 1)) + (((x + 1) * 2) * (2 + 1)))
A246300: 5 12 18 24 30 37 43 49 56 62 68 74 81 87 93 100
(((x - (x div ((2 + 2) * (2 + 1)))) div 2) + (((x + 1) * 2) * (2 + 1)))
A135358: 6 12 19 25 32 38 45 51 58 64 71 77 83 90 96 103
((((((x div (2 + 2)) + x) + 1) div 2) div 2) + (((x + 1) * 2) * (2 + 1)))
A108587: 6 12 18 25 31 37 44 50 56 63 69 75 82 88 94 100
((((1 - (x div 2)) div ((2 + 2) + 1)) + 1) + (((x + 1) div 2) div (2 + 1)))
A213126-A087698: 1 1 1 1 0 1 1 1 1 1 1 2 2 2 1 1
(x - ((0 - ((2 - (x div 2)) div (x + 2))) + (((x + 1) div 2) div (2 + 1))))
A120508: 1 1 2 3 4 4 4 5 6 7 8 8 9 10 11 12
((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) - (((x + 1) div 2) mod (2 + 1)))
A135694: 1 ~1 ~1 ~1 0 2 1 ~1 ~1 ~1 0 2 1 ~1 ~1 ~1
(((((((((x * 2) * 2) * 2) * 2) - 1) * x) * (x + 1)) div 2) div (2 + 1))
A304659: 0 5 31 94 210 395 665 1036 1524 2145 2915 3850 4966 6279 7805 9560
(((((((x + 2) * (x + 2)) + (2 + 1)) * x) * (x + 1)) div 2) div (2 + 1))
A332697: 0 4 19 56 130 260 469 784 1236 1860 2695 3784 5174 6916 9065 11680
(((((2 - (x - (((x * 2) * 2) * 2))) * x) * (x + 1)) div 2) div (2 + 1))
A255211: 0 3 16 46 100 185 308 476 696 975 1320 1738 2236 2821 3500 4280
(((((x - (((2 - x) - (x * 2)) * 2)) * x) * (x + 1)) div 2) div (2 + 1))
A007584: 0 1 10 34 80 155 266 420 624 885 1210 1606 2080 2639 3290 4040
(((((((((x * 2) - 1) * x) * x) + 2) * x) * (x + 1)) div 2) div (2 + 1))
A101383: 0 1 14 94 380 1135 2786 5964 11544 20685 34870 55946 86164 128219 185290 261080
((((((((2 + 2) * 2) * (x + 1)) - x) * x) * (x + 1)) div 2) div (2 + 1))
A245301: 0 5 22 58 120 215 350 532 768 1065 1430 1870 2392 3003 3710 4520
((((x div (((((x - 1) mod (2 + 1)) + 1) * 2) + 1)) + 2) * 2) div (2 + 1))
A000003: 1 1 1 1 2 2 1 2 2 2 3 2 2 4 2 2
((((((x * 2) - ((((x + 1) div 2) div 2) div 2)) + 1) * 2) * 2) div (2 + 1))
A231407: 1 4 6
A189366: 1 4 6 9 12 14 17 18 21 24 26 29 32 34 37 38
((((((((x * 2) - 1) * x) mod ((2 + 2) * 2)) + 1) * 2) * 2) - (2 + 1))
A070380: 1 5 25 29 17 21 9 13 1 5 25 29 17 21 9 13
(((x * x) - ((x mod ((((2 - x) div 2) div (2 + 1)) - 2)) mod 2)) mod (2 + 1))
A288424: 0 0 1 0 1 0 0 1 0 2 1 0 0 0 1 0
((((((2 + 2) * (x + 1)) + ((x div 2) div (2 + 1))) * 2) * 2) div (2 + 1))
A189678: 5 10 16 21 26 32 38 44 49 54 60 65 72 77 82 88
(1 - (((1 - ((x + 1) mod (1 - ((x div (2 + 1)) * 2)))) div 2) mod (2 + 1)))
A187037: 1 1 1 1 1 1 0 0 1 1 ~1 ~1 0 1 1 0
(((((x - (((1 - (x * 2)) * 2) * 2)) * (x - 1)) + 2) * 2) * (2 + 1))
A277983: 36 12 96 288 588 996 1512 2136 2868 3708 4656 5712 6876 8148 9528 11016
((1 - ((((2 - x) + 2) mod (2 - (x div ((0 - 2) - 2)))) div 2)) mod (2 + 1))
A035202: 1 1 0 1 1 0 0 1 1 1 2 0 0 0 0 1
((((((((x div (2 + 1)) * (x + 1)) div 2) + 1) div 2) + 2) * 2) div (2 + 1))
A029048: 1 1 1 2 2 2 4 4 4 6 6 7 10 10 11 14
(x - ((1 - ((((x - ((x div 2) div (2 + 1))) div 2) + 2) * 2)) div (2 + 1)))
A074232-A007417: 1 2 4 5 7 8 9 10 11 13 14 16 17 18 19 20
((((((x div 2) div ((2 + 2) + 1)) + ((x + 1) * 2)) * 2) * 2) div (2 + 1))
A330214: 2 5 8 10 13 16 18 21 24 26 30 33 36 38 41 44
(((((x div ((2 + 2) * (2 + 1))) + ((x + 1) * 2)) * 2) * 2) div (2 + 1))
A189535: 2 5 8 10 13 16 18 21 24 26 29 32 36 38 41 44
(((x - 1) * x) div (((2 - (x - (((2 + 2) * 2) * 2))) * 2) * (2 + 1)))
A326467-A326466-A326465-A319474-A026815-A024794: 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 11
((((x - (((1 - x) * x) div (((x div 2) + 2) + 2))) + 2) * 2) div (2 + 1))
A287549: 1 2 3 4 5 7 8 10 11 13 14 17 18 20 22 24
(((((x * 2) - (x div ((2 - ((x div 2) mod 2)) + 2))) + 2) * 2) div (2 + 1))
A014246: 1 2 4 4 6 7 8 9 10 12 12 14 15 16 17 18
(((2 - (x mod (((2 - (x div (2 + 1))) mod (2 + 2)) + 2))) div 2) mod (2 + 1))
A134023: 1 0 0 1 0 0 1 0 1 2 1 0 1 0 0 1
(x - ((((x div ((2 + 2) * 2)) * (1 - ((2 + 2) * 2))) * 2) * (2 + 1)))
A024647: 0 1 2 3 4 5 6 7 50 51 52 53 54 55 56 57
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * 2) * (2 + 1)))
A070688: 0 1 16 9 16 25 0 1 16 33 16 25 0 25 16 33
(((x - (((x - 1) * (2 + 1)) div ((x div (2 + 2)) + 2))) + 2) mod (2 + 1))
A028961: 1 0 0 2 0 0 0 0 2 2 0 0 2 2 0 0
((((2 + 2) * 2) * (x + 1)) - (((x - (x div (2 + 2))) div 2) * (2 + 1)))
A188438: 8 16 21 29 37 42 50 55 63 71 76 84 92 97 105 110
(((((x * 2) * 2) + 1) * 2) - (((x - (x div (2 + 2))) div 2) * (2 + 1)))
A134861: 2 10 15 23 31 36 44 49 57 65 70 78 86 91 99 104
(((((x * 2) + 1) * 2) * 2) - (((x - (x div (2 + 2))) div 2) * (2 + 1)))
A134860-A095099: 4 12 17 25 33 38 46 51 59 67 72 80 88 93 101 106
(1 - ((((x - ((((x div (2 + 2)) mod 2) - x) div 2)) div 2) * 2) mod (2 + 1)))
A112299: 1 ~1 ~1 0 1 1 ~1 0 1 ~1 ~1 0 1 1 ~1 0
((((((((x + 1) * (2 + 1)) + (x div 2)) * x) div 2) div 2) + 2) div (2 + 1))
A213172: 0 1 2 3 6 9 12 16 21 26 32 38 45 52 61 69
(1 - ((x mod 2) - (((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1))))
A029176: 1 0 1 0 2 1 2 1 3 2 4 3 5 4 6 6
(((((2 + 2) * (2 + 1)) - 1) * x) - (x div (1 - ((2 + 2) * (2 + 1)))))
A004960: 0 12 23 34 45 56 67 78 89 100 111 122 134 145 156 167
(((x - (x div ((1 - ((2 + 2) * 2)) * 2))) + 2) + ((2 + 2) * (2 + 1)))
A043703-A043663: 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31
((x div 2) - (((1 - (x div ((0 - 2) - 2))) * (x div (2 + 2))) div (2 + 1)))
A129363: 0 0 1 1 2 1 2 2 2 2 3 3 2 1 2 2
(((x + 2) * (x + 1)) - ((((1 - (x * x)) * x) div (2 + 2)) div (2 + 1)))
A026052: 2 6 13 22 35 52 74 100 132 170 215 266 325 392 468 552
(((compr(\x.(x mod ((((x mod (2 + 1)) + 1) * 2) + 1)),x) + 2) * 2) div (2 + 1))
A020491: 1 3 5 7 8 9 10 11 13 15 17 18 19 21 23 24
((x div 2) - (x - ((((((x div 2) * (2 + 1)) + x) + 2) * 2) * (2 + 1))))
A155096: 12 17 41 46 70 75 99 104 128 133 157 162 186 191 215 220
((((((x - 2) * x) * (x - 1)) * (((2 + 1) * x) - 2)) div 2) div (2 + 1))
A096200: 0 0 0 7 40 130 320 665 1232 2100 3360 5115 7480 10582 14560 19565
((x - (((((x + 1) div (1 - ((2 + 2) * 2))) - x) * 2) * 2)) div (2 + 1))
A188015: 1 3 4 6 8 9 11 14 16 17 19 21 22 24 27 29
(1 - (((((x div (2 + 1)) * (x - 2)) * ((2 - x) div 2)) * 2) div (2 + 1)))
A089891: 1 1 1 2 3 5 12 21
((x + 2) - ((((1 - ((x + 1) * (2 + 1))) * (x + 2)) div 2) * (2 + 1)))
A250230: 8 27 52 89 132 187 248 321 400 491 588 697 812 939 1072 1217
(x - (1 - ((((((x + 2) * (x + 2)) + 2) * (x + 2)) * 2) div (2 + 1))))
A224141: 7 22 49 92 155 242 357 504 687 910 1177 1492 1859 2282 2765 3312
((((((x div ((0 - 2) - 1)) mod 2) * 2) - 1) * ((x mod 2) + 2)) + (2 + 1))
A185273: 1 6 5 6 1 0 1 6 5 6 1 0 1 6 5 6
((x - (((((x + 1) * 2) div (((2 + 1) * 2) + 1)) - x) * 2)) + (2 + 1))
A188299: 3 6 9 10 13 16 17 20 23 26 27 30 33 34 37 40
((x - ((((((x mod 2) + x) + 1) div ((2 + 2) + 1)) - x) * 2)) + (2 + 1))
A187577: 3 6 9 10 13 16 19 22 25 26 29 32 35 36 39 42
(x - ((1 - (((((x + 1) * 2) * ((2 + 2) + 1)) + x) * 2)) * (2 + 1)))
A304841: 57 124 191 258 325 392 459 526 593 660 727 794 861 928 995 1062
(((((((x + 2) * (x + 2)) * 2) * ((x * 2) + 1)) - x) * 2) div (2 + 1))
A162540: 5 35 105 231 429 715 1105 1615 2261 3059 4025 5175 6525 8091 9889 11935
((((x * x) * 2) * (x + 1)) - (((((x * x) - 1) * x) div 2) div (2 + 1)))
A132112: 0 4 23 68 150 280 469 728 1068 1500 2035 2684 3458 4368 5425 6640
(((((x * x) * 2) - 1) * x) - (((((x * x) - 1) * x) div 2) div (2 + 1)))
A004467: 0 1 13 47 114 225 391 623 932 1329 1825 2431 3158 4017 5019 6175
(((((x * 2) + 1) * x) * x) - (((((x * x) - 1) * x) div 2) div (2 + 1)))
A215646: 0 3 19 59 134 255 433 679 1004 1419 1935 2563 3314 4199 5229 6415
(((((x - ((2 + 1) mod ((x div (2 + 1)) + 1))) + 2) + x) + 2) div (2 + 1))
A269362: 1 2 2 3 3 4 5 6 6 6 7 7 8 9 9 10
((((0 - ((x * 2) div ((x div ((0 - 2) - 1)) - 2))) + x) + 2) + (2 + 1))
A116451: 5 7 9 10 11 13 14 15 17 18 19 20 21 22 23 25
(((((((x + 2) * x) + 1) mod (((2 + 2) + 1) * 2)) + x) div 2) div (2 + 1))
A293429: 0 0 1 1 1 1 2 1 1 1 1 2 3 3 3 3
((((((((((x * x) * x) + 1) * x) + 2) * x) + 2) * x) div 2) div (2 + 1))
A006565: 0 1 14 130 700 2635 7826 19684 43800 88725 166870 295526 498004 804895 1255450 1899080
(((((((x div 2) + (x * 2)) * (2 + 1)) div (x + 2)) + x) * 2) div (2 + 1))
A060019: 0 2 3 4 6 6 7 8 9 10 10 11 12 12 13 14
(((((((x + 2) * (x + 2)) div 2) - (x mod 2)) + 1) * (x + 2)) div (2 + 1))
A168380: 2 4 12 20 38 56 88 120 170 220 292 364 462 560 688 816
((((((x * x) div 2) div (((2 + 2) * 2) + 1)) + 2) * (x + 2)) mod (2 + 1))
A113063: 1 0 2 1 0 0 2 0 2 0 0 2 2 0 0 1
(((((x * x) + 2) * ((x + 2) + 1)) div (2 + 1)) + ((x + 2) * (2 + 1)))
A229446: 8 13 22 37 60 93 138 197 272 365 478 613 772 957 1170 1413
(2 - (((((x div 2) div ((2 + 2) + 1)) + x) div 2) - ((x * 2) * (2 + 1))))
A247783: 2 8 13 19 24 30 35 41 46 52 57 62 68 73 79 84
(1 - (x - (((((2 + 2) * 2) * ((x * 2) + 1)) + (x div 2)) * (2 + 1))))
A182323: 25 72 122 169 219 266 316 363 413 460 510 557 607 654 704 751
(((x * 2) - (((x + 1) div 2) mod (2 + 1))) + ((1 - (x div 2)) div (2 + 1)))
A010375: 0 1 3 4 5 9
A010384: 0 1 3 4 5 9 11 12 14 15 16 20
(x - ((((x - (((x * 2) * 2) * 2)) * (x + 1)) + (x div 2)) div (2 + 1)))
A115007: 0 6 16 31 50 75 103 137 175 218 265 318 374 436 502 573
((x * x) div (1 - (x - (((((2 + 2) * 2) * 2) - (x div 2)) * (2 + 1)))))
A026930: 0 0 0 0 0 0 1 1 2 2 4 5 7 9 14 17
((x div 2) - (((x div ((((x mod 2) + 2) + 2) + 2)) * (x div 2)) div (2 + 1)))
A308403: 0 0 1 1 2 2 2 2 3 3 4 4 2 4 3 3
(((((((((x * 2) + 1) * x) + 1) * (2 + 2)) - x) * x) * 2) div (2 + 1))
A137931: 0 10 56 170 384 730 1240 1946 2880 4074 5560 7370 9536 12090 15064 18490
(((((((((x div (2 + 1)) + 1) * x) div 2) div 2) + x) + x) * 2) div (2 + 1))
A321501: 0 1 2 4 6 8 10 12 14 18 20 22 26 28 30 34
((((x * 2) + 1) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A134465: 1 6 16 32 55 86 126 176 237 310 396 496 611 742 890 1056
((((x + 1) * x) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A304993: 0 4 19 52 110 200 329 504 732 1020 1375 1804 2314 2912 3605 4400
((((x + 2) * x) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A255687: 0 6 25 64 130 230 371 560 804 1110 1485 1936 2470 3094 3815 4640
(((((x + 2) + 1) * x) * 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A275874: 0 8 21 40 66 100 143 196 260 336 425 528 646 780 931 1100
(((((x * x) * 2) - 1) * x) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A062025: 0 1 15 55 134 265 461 735 1100 1569 2155 2871 3730 4745 5929 7295
(((((x + 1) * x) + 1) * x) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A101165: 0 3 15 43 94 175 293 455 668 939 1275 1683 2170 2743 3409 4175
(((((x + 2) * (x + 1)) div (((2 + 2) * (2 + 1)) - 1)) + x) + (2 + 1))
A229173: 3 4 6 7 9 11 14 16 19 22 25 28 31 35 38 42
(x - ((((((((2 - x) div 2) * x) div 2) div (2 + 1)) - 1) - x) div (2 + 1)))
A094820: 1 2 3 5 6 8 9 11 13 15 16 19 20 22 24 27
(x - (((((((x div 2) div (2 + 1)) + x) mod (2 + 1)) - 1) - x) div (2 + 1)))
A285964: 1 2 3 5 6 7 8 9 11 12 13 15 16 18 19 20
(compr(\x.(2 - ((x + 1) mod (((x * 2) mod ((x div 2) + 1)) + 1))),x) + (2 + 1))
A190482: 7 10 12 13 14 16 18 19 20 21 22 23 24 25 26 27
((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) * x) mod (2 + 1))
A023565: 0 1 0 0 2 0 0 1 1 0 1 1 0 2 0 0
((x + 2) - (((((x + 2) mod (1 - ((2 + 2) * 2))) - 1) - x) div (2 + 1)))
A214419: 4 5 6 7 8 9 13 14 15 16 17 18 19 22 23 24
((((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + x) + (2 + 1))
A338281: 3 4 6 6 9 8 12 12 15 12 18 14 21 20 24 18
((x * 2) - ((((x - ((2 - x) div 2)) div ((2 + 2) + 1)) - x) * (2 + 1)))
A190545: 3 5 10 15 17 22 27 29 34 39 44 46 51 56 58 63
(compr(\x.(((x * x) * (x - 1)) mod (((2 + 2) * 2) * (2 + 1))),x) + (2 + 1))
A280991: 3 4 7 12 15 19 27 28 31 36 39 43 51 52 55 60
(((((x * x) * x) div (((((2 + 2) * 2) * 2) + x) + 1)) + x) div (2 + 1))
A062441: 0 0 0 1 2 3 5 7 9 12 15 19 23 28 34 40
((((((x - (x div ((x mod (0 - 2)) - 2))) div 2) + 1) div 2) + x) + (2 + 1))
A047984: 3 5 6 7 9 10 11 13 14 15 17 18 20 21 22 23
((((x - (((2 - x) div (2 + 2)) * ((2 + 2) + 1))) * 2) + x) + (2 + 1))
A327140: 3 6 9 22 25 28 31 44 47 50 53 66 69 72 75 88
((((((x div (2 + 2)) * (2 + 1)) div 2) - ((x + 1) div 2)) * x) mod (2 + 1))
A284575: 0 2 1 0 2 2 0 0 1 0 1 0 0 0 0 0
(((x div 2) + x) - (((((x - 1) * x) div ((2 + 2) * 2)) + x) div (2 + 1)))
A067782: 0 1 3 3 5 5 6 6 7 7 8 8 9 9 9 9
(((((((x * 2) - (x mod (2 + 2))) + 1) * x) div (2 + 2)) + x) mod (2 + 1))
A160381: 0 1 0 0 1 2 1 1 0 1 0 0 0 1 0 0
(((x + 1) * 2) - (((x * x) + 2) div (((x div (2 + 2)) + x) + (2 + 1))))
A183862: 2 4 5 7 8 9 11 12 13 15 16 17 18 19 21 22
(((((((x div (2 + 2)) * ((2 + 2) + 1)) + x) + 2) * 2) + x) + (2 + 1))
A327137-A026319: 7 10 13 16 29 32 35 38 51 54 57 60 73 76 79 82
(((((((x div (2 + 2)) + 1) * ((2 + 2) + 1)) + x) * 2) + x) + (2 + 1))
A246451: 13 16 19 22 35 38 41 44 57 60 63 66 79 82 85 88
((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + x) + (2 + 1))
A049068: 3 5 7 8 10 11 13 14 15 17 18 19 21 22 23 24
((((x - (((x - 1) mod ((x div 2) + 1)) div 2)) + 2) + 1) - (x div (2 + 1)))
A106501: 3 4 5 5 6 7 7 7 8 8 9 9 9 10 11 10
(x div ((((1 - x) - (x mod 2)) + ((2 + 2) * (2 + 1))) + (x div (2 + 1))))
A034396: 0 0 0 0 0 0 0 1 1 1 1 2 2 4 4 7
((((x div 2) - ((((x div 2) div (2 + 1)) - x) div 2)) + 1) - (x div (2 + 1)))
A287292: 1 2 3 3 4 5 5 5 7 6 8 8 8 9 10 10
((((x + 2) - ((1 - x) div ((x div (2 + 1)) + 1))) + 2) + (x div (2 + 1)))
A186346: 3 5 7 9 11 12 14 15 17 18 20 21 23 24 25 27
((((x + 1) div (((x div 2) mod ((2 + 2) + 1)) + 2)) mod 2) + (x div (2 + 1)))
A283303: 0 1 1 2 2 2 3 3 3 4 4 3 4 4 5 5
(((x + 2) * 2) - ((x * x) div ((((x + 2) + 2) * 2) - (x div (2 + 1)))))
A184016: 4 6 8 10 11 13 14 16 18 19 20 22 23 25 26 28
((((x - (x div ((x mod (2 + 1)) + 1))) mod 2) - (x mod 2)) + (x div (2 + 1)))
A102722: 0 0 0 0 1 0 2 1 2 2 4 2 4 4 4 4
((((x - (x div (((2 + 1) * 2) + 1))) div 2) + (x mod 2)) - (x div (2 + 1)))
A085342: 0 1 1 1 1 2 1 2 1 2 1 3 1 3 2 2
((((x * 2) div ((0 - (x mod (2 + 1))) - 1)) mod (2 + 1)) - (x mod (2 + 1)))
A091586: 0 1 ~1 0 1 0 0 1 ~2 0 1 ~1 0 1 0 0
((((x - (((1 - x) - (x mod 2)) div (2 + 1))) * 2) + 2) - (x mod (2 + 1)))
A273324: 2 5 6 10 11 14 18 21 22 26 27 30 34 37 38 42
(((((2 - (x - (x div (2 + 2)))) mod ((x div (2 + 1)) + 1)) + x) div 2) + 1)
A076896: 1 1 2 3 3 3 4 5 6 7 7 7 8 8 8 9
((((((((x - 1) div 2) div 2) * x) div (((2 + 1) * 2) + 1)) + x) * 2) + 1)
A326581-A080429-A062090: 1 3 5 7 9 11 13 17 19 23 25 29 31 37 41 43
((compr(\x.(1 - (((x mod ((x mod 2) + 2)) * x) mod ((2 + 2) + 1))),x) * 2) + 1)
A106403: 3 15 23 27 35 39 47 59
(((((x - (((x + 1) div ((2 + 2) + 1)) mod 2)) div (2 + 1)) + x) * 2) + 1)
A319009: 1 3 5 9 11 13 15 19 21 25 27 29 33 35 37 39
((((((((x div 2) + x) + 1) * ((x + 1) div 2)) * (2 + 1)) + x) div 2) + 1)
A026393: 1 4 8 17 24 39 49 70 83 110 126 159 178 217 239 284
((((((((x + 1) div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + x) * 2) + 1)
A325570: 1 3 5 7 11 13 15 17 19 23 25 27 29 31 37 39
(((((((((x div 2) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + x) * 2) + 1)
A255602: 1 3 5 7 11 13 17 19 21 23 29 31 35 37 39 41
(((x * x) * x) div (((((((2 + 2) * 2) * 2) * (2 + 1)) + x) * 2) - 1))
A177339: 0 0 0 0 0 1 2 3 4 6 8 11 14 18 22 27
((compr(\x.(1 - ((x * 2) mod (((x div 2) + 2) + (x mod (2 + 1))))),x) * 2) - 1)
A134454: 1 3 7 9 11 13 19 21 25 27 29 31 33 35 37 39
(((((((((x div (2 + 2)) + 1) * x) div (2 + 2)) + 1) div 2) + x) * 2) + 1)
A109860: 1 3 5 7 11 13 17 19 23 25 29 31 37 41 43 47
((((((((x * x) - ((x div (2 + 2)) mod 2)) div 2) div 2) div 2) + x) div 2) + 1)
A236294: 1 1 2 3 3 5 6 7 9 10 12 14 15 18 20 22
((((x + 2) * (x + 1)) div ((((((2 + 2) * 2) * 2) * 2) - x) * 2)) + 1)
A076269: 1 1 1 1 1 1 2 2 2 3 4 4 5 6 7 9
(((((((2 - (x div ((0 - 2) - 2))) * (x + 2)) div 2) div 2) + x) div 2) + 1)
A267303: 1 2 3 4 5 7 8 9 10 12 13 14 15 18 20 21
(((((((((x * x) div 2) * ((x + 1) div 2)) + x) div 2) div 2) + x) div 2) + 1)
A060677: 1 1 2 3 5 8 11 17 22 31 38 52
(((((((x * 2) div ((x div ((2 + 2) + 1)) + 1)) + x) div 2) + x) div 2) + 1)
A297351: 1 2 3 4 6 6 7 8 9 10 10 11 12 12 13 14
(((((((2 + 2) * 2) * 2) * (((x + 2) + 2) + 1)) - 1) * (x + 2)) + 1)
A250659: 159 286 445 636 859 1114 1401 1720 2071 2454 2869 3316 3795 4306 4849 5424
compr(\x.(1 - (x mod ((x mod (((x mod (2 + 2)) + 1) * 2)) + 1))),((x + 2) + 1))
A325797-A279244: 5 7 9 11 13 14 15 17 19 21 22 23 25 26 27 29
((((((x + 1) * x) div 2) * (((2 + 2) * 2) + 1)) + 2) * ((x + 2) + 1))
A000561: 6 44 145 336 644 1096 1719 2540 3586 4884 6461 8344 10560 13136 16099 19476
(((((((x div 2) * x) div (2 + 1)) - x) div ((2 + 2) + 1)) + (x * 2)) + 1)
A332687: 1 2 4 6 8 10 13 15 17 19 22 24 27 29 32 35
((((x mod (2 - (x mod (0 - ((x div (2 + 2)) + 1))))) mod 2) + (x * 2)) + 1)
A284906: 1 4 5 8 9 11 13 16 17 20 21 23 25 28 29 31
(((((((x - 1) * x) div ((2 + 2) * 2)) + (x div 2)) div 2) + (x * 2)) + 1)
A276498: 1 3 5 7 10 13 16 19 22 25 29 32 36 39 43 47
((((((x + 2) div ((x div ((2 + 2) * 2)) + 2)) + x) div 2) + (x * 2)) + 1)
A189526: 1 4 7 9 12 15 18 20 22 25 28 30 33 36 38 41
((((((x + 1) * x) * (2 + 1)) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A193248: 1 93 455 1267 2709 4961 8203 12615 18377 25669 34671 45563 58525 73737 91379 111631
((((((x * 2) * 2) * (x + 1)) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A193251: 1 123 605 1687 3609 6611 10933 16815 24497 34219 46221 60743 78025 98307 121829 148831
(((((x * 2) * (2 + 1)) * (((x * 2) * 2) + 1)) + 1) * ((x * 2) + 1))
A160174: 1 93 545 1645 3681 6941 11713 18285 26945 37981 51681 68333 88225 111645 138881 170221
(((((x div (2 + 1)) mod (2 + 1)) - (x div 2)) div (2 + 1)) + ((x * 2) + 1))
A189521: 1 3 4 7 8 10 12 14 16 17 19 21 23 25 27 29
((x - (((x mod (((2 + 2) + 1) * 2)) - x) * (2 + 1))) mod ((x * 2) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A261729-A261725-A174025-A118758-A118757-A106649-A003100: 0 1 2 3 4 5 6 7 8 9 19 18 17 16 15 14
((x - ((((x - 2) * x) div (2 + 1)) div ((x + 2) + 1))) + ((x * 2) + 1))
A186542: 1 5 7 10 13 16 19 21 24 27 29 32 35 38 40 43
(((((((x + 2) * 2) + x) * (2 + 1)) - 1) * (x + 1)) * ((x * 2) + 1))
A274119: 11 120 435 1064 2115 3696 5915 8880 12699 17480 23331 30360 38675 48384 59595 72416
(((((1 - x) div ((((x div 2) + 1) div 2) + 1)) mod 2) + x) + ((x * 2) + 1))
A022442: 2 4 8 11 13 16 19 22 26 29 32 35 38 41 44 47
((((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2) + x) + ((x * 2) + 1))
A248228: 1 4 8 11 14 17 21 24 27 30 34 37 40 44 47 50
((((((x * x) * (2 + 1)) - x) * (2 + 2)) * (x + 1)) * ((x * 2) - 1))
A155122: 0 16 360 1920 6160 15120 31416 58240 99360 159120 242440 354816 502320 691600 929880 1224960
((((((((x mod 2) + (x * 2)) * 2) + x) + 1) * (2 + 1)) + (x div 2)) + 1)
A169600: 4 25 35 56 66 87 97 118 128 149 159 180 190 211 221 242
(1 - (x mod ((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * (x div 2)) - 1)))
A146314: 1 1 1 1 1 1 1 0 1 1 1 ~2 ~1 1 1 1
((((x - ((((x div 2) - 2) * 2) div ((2 + 2) + 1))) * 2) + (x div 2)) - 1)
A187952: 1 3 6 8 9 11 14 16 19 21 22 24 27 29 30 32
((((x - ((((x mod 2) - x) - 2) div ((2 + 2) + 1))) * 2) + (x div 2)) - 1)
A190493: 1 3 6 8 13 15 18 20 23 25 30 32 35 37 42 44
(((x mod ((x mod (((x mod (2 + 2)) + 1) * 2)) + 1)) + 1) mod ((x div 2) + 1))
A229878: 0 0 1 0 1 2
A080941: 0 0 1 0 1 2 1 0 1 2 1 4 1 2 3 0
(((((x - ((((x mod 2) - x) - 2) * 2)) * 2) + 2) + 1) * ((x div 2) + 1))
A154292: 11 13 46 50 105 111 188 196 295 305 426 438 581 595 760 776
((((((x div 2) div (2 + 1)) - (x mod 2)) + 1) * (2 + 1)) + ((x div 2) + 1))
A067061: 4 1 5 2 6 3 10 7 11 8 12 9 16 13 17 14
((((((x * x) + 2) * ((x + 2) + 1)) div (2 + 1)) + 2) mod ((x div 2) + 1))
A268584: 0 0 0 0 2 2 0 0 4 4 0 0 4 4 4 4
((((x div 2) mod ((2 + 2) + 1)) div 2) * (((2 + 2) * 2) mod ((x div 2) + 1)))
A175917: 0 0 0 0 2 2 0 0 6 6 0 0 0 0 0 0
(x - ((x div 2) - ((((x + 2) + 2) * 2) - ((1 - x) div ((x div 2) + 1)))))
A118797: 7 11 14 17 19 23 25 28 30 33 35 38 40 43 45 48
(((((x - ((x div 2) mod (2 + 1))) div (2 + 1)) * 2) + x) + ((x div 2) + 1))
A190235: 1 2 4 5 7 10 14 15 17 18 20 23 27 28 30 31
(((x div ((((x + 1) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + (x mod 2)) + 1)
A235726: 1 2 1 2 1 2 1 3 1 2 1 2 1 2 1 4
(((((x - 1) mod (((x + 1) div ((2 + 2) + 1)) + 1)) mod 2) + (x mod 2)) + 1)
A083165: 1 2 1 2 2 2 2 2 2 2 1 3 1 2 2 2
((((x div (((x * x) mod ((2 + 2) * (2 + 1))) + 1)) mod 2) + (x mod 2)) + 1)
A336041: 1 2 1 2 1 2 1 3 2 2 1 3 1 2 1 3
(((((((x div 2) * x) + 2) mod ((x div (2 + 1)) + 1)) mod 2) - (x mod 2)) + 1)
A328372: 1 0 1 1 1 0 1 0 2 0 1 1 1 0 1 1
((((x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) - 1)) mod 2) - (x mod 2)) + 1)
A263099: 1 1 1 1 1 0 1 0 1 1 1 0 2 0 1 0
((((x div ((((x - 1) * x) mod ((2 + 2) * 2)) + 1)) mod 2) - (x mod 2)) + 1)
A341969: 1 1 1 0 1 1 1 0 1 1 2 1 1 0 1 1
(x mod (x - ((((x mod (((x div (2 + 2)) * 2) - 1)) mod 2) - (x mod 2)) + 1)))
A211159: 0 0 0 0 1 0 1 0 1 0 2 0 1 1 1 0
(((((((2 - x) div 2) * (2 + 1)) div ((2 + 2) + 1)) mod 2) - (x mod 2)) + 1)
A091830: 1 0 1 1 2 0 1 0 1 1 2 1 2 0 1 1
(((((((x mod ((2 + 1) * 2)) + 1) * 2) div (2 + 1)) * 2) - (x mod 2)) + 1)
A153990: 1 2 5 4 7 8 1 2 5 4 7 8 1 2 5 4
((((x - ((x * 2) div ((x div ((2 + 2) + 1)) + 2))) div 2) - (x mod 2)) + 1)
A029197: 1 0 1 0 1 1 2 1 2 1 3 3 4 3 4 4
((((((x * x) mod (x - (((x mod 2) + 2) + 1))) div 2) mod 2) + (x mod 2)) + 1)
A271418: 1 3 1 2 1 2 1 2 1 2 2 3 1 3 1 2
(x div ((((((x + 1) mod (((x div 2) mod 2) + 2)) + 2) * 2) - (x mod 2)) + 1))
A157235: 0 0 0 0 0 1 0 0 1 2 1 2 1 3 2 2
(((((((x div (2 + 2)) * (x div (2 + 2))) div 2) + x) * 2) - (x mod 2)) + 1)
A285502: 1 2 5 6 9 10 13 14 21 22 25 26 33 34 37 38
(((x div (((2 + 2) * 2) - ((x - 2) div (2 + 1)))) + 1) div ((x mod 2) + 1))
A029229: 1 0 1 0 1 0 1 1 2 1 2 1 3 1 4 2
((((((x * x) div (((2 + 2) * 2) * 2)) + 1) div 2) + 1) div ((x mod 2) + 1))
A029177: 1 0 1 0 2 1 2 1 3 2 4 2 6 3 7 4
((((x + 1) div 2) + 1) mod ((((x mod (2 + 1)) div 2) + 1) * ((x mod 2) + 1)))
A335487: 0 0 0 1 0 0 0 1 1 0 0 3 0 0 0 1
(((x div ((((x div (2 + 1)) mod (2 + 1)) + 2) * 2)) + 1) div ((x mod 2) + 1))
A029236: 1 0 1 0 1 0 1 0 2 1 3 1 3 1 3 1
(((x div ((((2 - (x div 2)) mod (2 + 2)) + 2) * 2)) + 1) * ((x mod 2) + 1))
A130831: 1 2 1 2 2 4 1 2 2 4 2 4 4 8 2 4
((((((x * x) div (2 + 1)) + x) div ((2 + 2) * 2)) + 1) div ((x mod 2) + 1))
A029171: 1 0 1 0 2 1 3 1 4 2 6 3 8 4 10 6
(((((x div 2) * (x - 2)) div (((x + 2) + 2) + 2)) + 1) div ((x mod 2) + 1))
A029216: 1 0 1 0 1 0 2 1 2 1 3 1 4 2 5 2
((x + 1) div ((((x - 2) div ((x div (2 + 2)) + 2)) + 2) * ((x mod 2) + 1)))
A066075: 1 1 1 1 2 1 2 1 3 1 2 1 3 1 3 2
((((((x + 2) * x) * (x + 1)) div (2 + 1)) + 1) + (x div ((x mod 2) + 1)))
A178946: 1 3 11 22 45 73 119 172 249 335 451 578 741 917 1135 1368
(compr(\x.(x mod (((1 - x) mod ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1)),x) + 1)
A278997: 1 2 4 7 10 11 13 16 17 19 20 22 25 26 28 29
(compr(\x.(1 - (x mod (((0 - x) mod ((x div ((2 + 2) + 1)) + 1)) + 1))),x) - 1)
A327776-A060679: 4 6 8 9 10 12 14 16 18 20 21 22 24 25 26 27
(compr(\x.(x mod (((((x + 2) + 2) + 1) mod ((x div (2 + 1)) + 1)) + 1)),x) + 1)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A249575: 1 2 3 4 5 6 7 8 9 10 12 13 16 17 19 21
(compr(\x.(((x div (2 + 2)) div ((x mod (((x mod 2) + 1) * 2)) + 1)) - 1),x) + 1)
A029750: 1 2 3 4 5 6 7 8 10 12 14 16 20 24 28 32
(compr(\x.((x mod ((((0 - x) mod ((x div (2 + 1)) + 2)) div 2) + 1)) - 1),x) + 1)
A334294: 1 2 3 4 5 6 7 8 9 10 11 13 14 17 20 22
(compr(\x.((x + 1) mod ((x div (((0 - x) mod ((2 + 2) * 2)) + 1)) + 1)),x) + 1)
A305759-A143513: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24
(compr(\x.(x mod (((x + 2) mod ((x div ((x div (2 + 2)) + 2)) + 1)) + 1)),x) + 1)
A162535: 1 2 3 5 7 8 9 10 11 13 14 15 17 19 21 23
(compr(\x.((((((x * x) div (2 + 1)) - x) * 2) mod ((2 + 2) + 1)) - 1),x) + 1)
A231407: 1 4 6
A112082: 1 4 6 9 10 11 14 16 19 21 24 25 26 29 31 34
(compr(\x.(((x mod (((2 + 1) * 2) + 1)) mod ((x div (2 + 2)) + 1)) - 1),x) + 1)
A037173: 1 2 3 4 5 6 7 8 9 11 12 13 15 16 20 21
(compr(\x.(1 - (x mod (((1 - (x * 2)) mod ((x div (2 + 2)) + 1)) + 1))),x) - 1)
A013920: 4 6 8 9 12 14 15 16 18 20 21 22 25 26 28 30
(compr(\x.((x + 1) mod (((x div 2) div (((2 - (x mod 2)) * 2) + 1)) + 1)),x) + 1)
A337741-A308560-A285829-A285815-A235697-A235507-A234474-A225782-A225780-A085135-A085133-A005349: 1 2 3 4 5 6 7 8 9 10 12 18 20 21 24 27
(compr(\x.((x + 1) mod ((x mod (((x mod (2 + 2)) + 1) * (2 + 1))) + 1)),x) + 1)
A225837-A035246: 1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24
(((((((2 + 2) + 1) * x) * x) div (((2 + 2) * (2 + 1)) + 1)) + x) + 1)
A025719: 1 2 4 7 11 15 20 26 33 41 49 58 68 79 90 102
(((((((x * 2) * 2) - 1) * x) div (((2 + 2) * (2 + 1)) - 1)) + x) + 1)
A025710: 1 2 4 7 10 14 19 25 31 38 46 55 64 74 85 96
(compr(\x.(1 - ((((x div 2) + 1) * (x - 1)) mod ((x div (2 + 1)) + 1))),x) + 1)
A279289: 5 7 9 11 13 14 15 16 17 19 20 21 22 23 25 26
(compr(\x.((x + 1) mod (((((x * 2) mod (2 + 1)) + 1) mod (x + 1)) + 1)),x) + 1)
A240911: 1 2 3 4 6 8 9 10 12 15 16 18 20 21 22 24
(compr(\x.(2 - (x mod ((((x * x) div ((0 - 2) - 2)) mod (x + 1)) + 1))),x) - 1)
A231407: 1 4 6
A324704: 1 4 6 7 8 10 12 13 14 16 17 18 19 20 21 22
(compr(\x.((x mod ((((x + 2) + 2) mod ((x div (2 + 2)) + 1)) + 2)) - 1),x) + 1)
A032974: 1 2 3 4 5 7 8 9 10 12 13 14 16 17 21 22
(((((((x * x) + 1) * x) div (x + 2)) div (((2 + 1) * 2) + 1)) + x) + 1)
A280706: 1 2 3 4 6 8 10 13 16 19 23 26 30 35 39 44
((((x div (1 - ((2 + 2) * 2))) * (x mod (((2 + 1) * 2) + 1))) + x) + 1)
A194756: 1 1 1 1 1 1 1 8 7 6 5 4 3 2 15 13
(((x div (((((((x - 1) div 2) div 2) mod (2 + 1)) + 2) + 2) + 1)) + x) + 1)
A172251: 1 2 3 4 5 6 8 9 10 11 12 13 14 16 17 19
(((((((2 + 1) * x) + 2) * x) div ((((2 + 2) * 2) * 2) + 1)) + x) + 1)
A225087: 1 2 3 5 8 11 14 17 21 25 29 34 39 45 51 57
(((x + 2) * x) - ((((x + 1) mod ((((2 + 2) * 2) * 2) - 1)) * x) - 1))
A044916: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 225 241
(((((((x + 1) div 2) div 2) * x) div ((((2 + 2) * 2) * 2) - 1)) + x) + 1)
A190856: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20
((((((x div ((2 + 2) + 1)) + 1) * x) div (((2 + 2) * 2) + 1)) + x) + 1)
A024898: 1 2 3 4 5 7 8 9 10 12 14 15 17 18 19 22
((((((x + 1) div 2) div (2 + 1)) * ((x div ((2 + 2) * 2)) + 1)) + x) + 1)
A344609-A344586-A329139-A325370-A319161-A268375-A265640-A246716-A212165-A130091-A119848: 1 2 3 4 5 7 8 9 11 12 13 16 17 18 19 20
(((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + x) + 1)
A306369-A291784: 1 2 3 4 5 7 7 8 9 11 11 14 13 15 16 16
(((x div (((x mod (((x mod 2) + 2) + 1)) + 1) * ((2 + 2) + 1))) + x) + 1)
A130916: 1 2 3 4 5 6 8 8 9 10 12 12 15 15 15 16
(((((((x mod 2) + (x * 2)) + 1) * (2 + 1)) div ((2 + 2) + 1)) + x) + 1)
A231407: 1 4 6
A190330: 1 4 6 8 10 13 14 17 19 22 23 26 28 30 32 35
((((((((x div 2) + 1) * 2) * 2) * (2 + 1)) div ((2 + 2) + 1)) + x) + 1)
A286904: 3 4 7 8 12 13 16 17 21 22 25 26 29 30 34 35
(((((((((x div 2) + 1) div 2) * x) div 2) + 1) div ((2 + 2) + 1)) + x) + 1)
A193988: 1 2 3 4 5 6 8 9 10 12 14 15 16 18 20 22
((((((((x div 2) - 2) * (x + 2)) div 2) div 2) div ((2 + 2) + 1)) + x) + 1)
A191894: 0 1 2 3 5 6 7 8 10 11 12 13 15 17 19 20
(((((x + 2) + 2) mod ((((x - 2) * 2) mod ((x div 2) + 2)) - 1)) + x) + 1)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A246081: 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18 21
((((x - ((((2 - x) - (x div 2)) div (2 + 2)) - 1)) * (2 + 1)) + x) + 1)
A190703-A188088: 4 8 15 19 23 30 34 38 45 49 56 60 64 71 75 79
((((x - ((((x mod (2 + 1)) - x) div (2 + 2)) - 1)) * (2 + 1)) + x) + 1)
A187571: 4 8 12 19 23 27 34 38 42 49 53 57 61 65 69 76
(compr(\x.(((((x mod ((2 + 2) * 2)) + x) - 1) div (2 + 1)) mod (2 + 1)),x) + 1)
A189465: 2 6 7 10 11 15 19 23 24 27 28 32 36 40 44 45
((((x - (((x + 1) mod (((2 + 1) * 2) + 1)) div 2)) div (2 + 1)) + x) + 1)
A160532: 1 2 3 4 5 6 9 10 11 12 13 15 16 18 19 20
((((((x * x) div (((x div 2) + 2) * (2 + 1))) * 2) div (2 + 1)) + x) + 1)
A228803: 1 2 3 4 5 7 8 10 11 12 13 15 17 18 19 21
((((((x - ((x div 2) mod ((2 + 2) + 1))) div 2) * 2) div (2 + 1)) + x) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A123101: 1 2 3 4 5 6 7 9 10 11 14 15 16 18 19 20
(((((x - ((x - ((2 + 2) mod (x + 1))) div 2)) * 2) div (2 + 1)) + x) + 1)
A289240: 1 2 4 5 7 9 10 12 13 14 15 17 18 20 21 22
(compr(\x.((x + 2) - ((((x - (x div (2 + 2))) div 2) - 2) * (2 + 1))),x) - 1)
A344809: 54 57 60 62 63 65 66 68 69 70 71 72 73 74 75 76
((((x - ((((2 - x) - (x div 2)) div (2 + 2)) - 2)) * (2 + 1)) + x) + 1)
A188074: 7 11 18 22 26 33 37 41 48 52 59 63 67 74 78 82
((((x + 2) * (x + 2)) div 2) div (((((2 + 2) * 2) * (2 + 1)) - x) - 1))
A309879: 0 0 0 0 0 1 1 2 3 4 5 7 8 11 14 18
(((((((((x * x) div (2 + 1)) * x) + 1) * x) div 2) div (2 + 1)) + x) + 1)
A011955: 1 2 4 9 19 40 80
((((x div (((x div (2 + 2)) + 2) + 2)) + ((x + 2) div (2 + 1))) + x) + 1)
A136495: 1 3 4 5 7 9 10 12 13 14 16 17 18 20 22 23
(((((2 + 2) * 2) * 2) * (((x + 2) * x) + 1)) * (((2 + 1) * x) + 1))
A207450: 16 256 1008 2560 5200 9216 14896 22528 32400 44800 60016 78336 100048 125440 154800 188416
((((((x div 2) mod (((0 - x) mod (2 + 2)) + 1)) + x) div (2 + 1)) + x) + 1)
A187480: 1 2 4 5 6 8 9 10 11 13 15 16 17 19 20 21
(compr(\x.((1 - ((x + 2) mod (((2 + 2) * (2 + 1)) + 1))) mod (x + 1)),x) + 1)
A297277-A296747-A044961-A044823-A043715: 1 2 3 4 5 6 7 8 9 10 11 13 26 39 52 65
(compr(\x.((1 - ((x + 2) mod (((2 + 2) * (2 + 1)) - 1))) mod (x + 1)),x) + 1)
A346217-A342826-A324988-A297271-A297148-A296712-A283870-A276354-A276115-A248954-A227858-A227001-A214019-A193413-A193408-A190217-A160818-A147882-A110785-A110784-A110751-A109872-A087992-A084982-A082937-A082810-A071267-A062687-A044959-A044821-A043713-A032573: 1 2 3 4 5 6 7 8 9 11 22 33 44 55 66 77
(compr(\x.((1 - ((x + 2) mod ((((2 + 2) * 2) * 2) - 1))) mod (x + 1)),x) + 1)
A297283-A296753-A044963-A044825-A043717: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 30 45
(compr(\x.((2 - (((x + 2) + 1) mod ((2 + 2) * (2 + 1)))) mod (x + 1)),x) + 1)
A228017: 1 2 3 4 5 6 7 8 9 12 24 36 48
(compr(\x.((1 - ((x + 2) mod ((((2 + 1) * 2) + 1) * 2))) mod (x + 1)),x) + 1)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A297280-A296750-A044962-A044824-A043716: 1 2 3 4 5 6 7 8 9 10 11 12 14 28 42 56
((((x - (((x - (x div (2 + 2))) div 2) mod 2)) div 2) + ((x + 1) * x)) + 1)
A173209: 1 3 7 14 22 33 46 60 76 95 116 138 163 189 217 248
(((((((x * x) + (2 + 1)) * x) * x) div (2 + 2)) + ((x + 1) * x)) + 1)
A066375: 1 4 14 40 97 206 394 694 1145 1792 2686 3884 5449 7450 9962 13066
((((((x + 1) * x) div 2) * ((2 + 2) + 1)) + 1) * (((x + 1) * x) + 1))
A160765: 1 18 112 403 1071 2356 4558 8037 13213 20566 30636 44023 61387 83448 110986 144841
((((x - ((x - 1) mod (((x + 1) div ((2 + 2) + 1)) + 1))) div 2) + x) + 1)
A247161: 1 2 4 5 6 8 9 11 12 13 16 17 18 20 21 22
(((((((x div 2) div (2 + 1)) + 1) * (((2 + 1) * 2) + 1)) div 2) + x) + 1)
A123977: 4 5 6 7 8 9 14 15 16 17 18 19 23 24 25 26
(((((x * x) div ((((((2 + 2) * 2) * 2) * 2) * 2) + 1)) * 2) + x) + 1)
A296861: 1 2 3 4 5 6 7 8 9 12 13 14 17 18 21 22
(((((((2 + 2) * 2) * ((x div 2) + 1)) div ((2 + 2) + 1)) * 2) + x) + 1)
A137709: 3 4 9 10 13 14 19 20 25 26 29 30 35 36 39 40
((((((x * 2) - ((x * x) div (2 + 2))) div ((2 + 2) + 1)) * 2) + x) + 1)
A341191: 1 2 3 4 5 6 7 8 9 8 9 8 7 6 5 4
(((((x - ((x div 2) div (2 + 1))) + (x div ((2 + 2) + 1))) div 2) + x) + 1)
A189629: 1 2 4 5 7 9 10 11 13 14 16 18 19 20 22 24
((x * x) mod ((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + x) + 1))
A340227-A273711: 0 1 1 1 1 4 1 1 1 4 1 4 1 4 4 1
((((((x - ((x div (2 + 1)) - 1)) div (2 + 1)) * (2 + 1)) div 2) + x) + 1)
A049095: 1 2 4 5 6 7 8 11 12 13 14 16 17 18 19 20
((((((((x div (0 - 2)) mod 2) + x) div (2 + 1)) * (2 + 1)) div 2) + x) + 1)
A005528: 1 2 4 5 6 9 10 11 12 14 15 16 19 20 22 23
(((((((x * x) div (2 + 2)) div ((x + 2) + 1)) * (2 + 1)) div 2) + x) + 1)
A302540-A230780: 1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20
(((((((((x div 2) + x) div (2 + 2)) + 1) div 2) * (2 + 1)) div 2) + x) + 1)
A182942: 1 2 3 5 6 7 8 9 12 13 14 15 16 17 19 20
((((x - ((x - ((((x + 1) div 2) div 2) div 2)) mod (2 + 1))) div 2) + x) + 1)
A107746: 1 2 3 5 6 7 10 11 12 13 16 17 18 20 21 23
((((((((x + 1) div 2) div 2) div 2) + ((2 + 2) * (2 + 1))) * 2) + x) - 1)
A062999: 23 24 25 26 27 28 29 32 33 34 35 36 37 38 39 42
(((((((x + 1) div 2) div (2 + 1)) * ((x + 2) div (2 + 1))) div 2) + x) + 1)
A324759-A324758: 1 2 3 4 5 7 8 9 10 11 13 16 17 19 20 21
(((((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) * 2) - x) + 1)
A174863: 1 0 ~1 ~2 ~3 ~2 ~3 ~4 ~5 ~4 ~5 ~4 ~5 ~4 ~3 ~4
(((x + 2) * 2) - ((x * x) div (((((x div 2) div (2 + 1)) * 2) + x) + 1)))
A216845: 4 6 7 8 9 10 12 14 15 16 17 18 20 21 22 23
(((((((((x + 1) * 2) * (2 + 1)) + x) * x) + (2 + 1)) * 2) * x) + 1)
A155883: 1 33 173 505 1113 2081 3493 5433 7985 11233 15261 20153 25993 32865 40853 50041
(((((x * x) div ((((x div ((2 + 2) + 1)) * 2) + x) + 1)) * 2) - x) + 1)
A071995: 1 0 1 2 3 2 3 2 3 4 3 4 5 6 7 6
(((((((((2 + 2) * 2) * 2) * 2) * 2) - 1) * ((x + 1) div 2)) + x) + 1)
A174928: 1 65 66 130 131 195 196 260 261 325 326 390 391 455 456 520
(((((((((x div 2) div ((2 + 2) + 1)) + 2) * 2) + 1) * 2) * 2) + x) + 1)
A199934: 21 22 23 24 25 26 27 28 29 30 39 40 41 42 43 44
((((x - ((((x mod ((x div 2) + 2)) mod (2 + 2)) + 1) div 2)) div 2) + x) + 1)
A053661: 1 2 3 5 7 8 9 11 12 13 15 17 19 20 21 23
(((((((((2 + 2) * 2) * 2) + 1) * ((x div 2) + 1)) div 2) div 2) + x) + 1)
A277095: 5 6 11 12 17 18 24 25 30 31 36 37 42 43 49 50
(((((((((x + 2) * (x + 2)) - 1) div 2) * (x + 1)) div 2) div 2) + x) + 1)
A180861: 1 4 8 16 26 42 61 88 119 160 206 264 328 406 491 592
((((((x - (x div ((2 + 2) * 2))) div 2) + ((x + 1) * 2)) * 2) + x) + 1)
A098022: 5 10 17 22 29 34 41 46 51 58 63 70 75 82 87 94
((((((((x + 2) div (2 + 1)) * ((x div 2) + 1)) div 2) div 2) div 2) + x) + 1)
A328413: 1 2 3 4 5 6 8 9 10 11 14 15 16 18 20 21
((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) + 2) + 2) * 2) - x) + 1)
A199264: 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6
(compr(\x.(1 - (x mod ((x mod (((x - (x div (2 + 2))) div 2) + 2)) + 2))),x) + 1)
A130225: 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20 23
(((((x + 2) * x) + 1) * (2 + 1)) div (((((2 + 2) * 2) * 2) + x) + 1))
A135676: 0 0 1 2 3 4 6 8 9 11 13 15 17 19 21 24
(compr(\x.(((((2 + 2) * 2) * 2) mod ((0 - x) - 1)) mod ((2 + 2) * 2)),x) + 1)
A222011: 1 2 4 8
A070173: 1 2 4 8 12 16 24 32 40 48 56 64 72 80 88 96
(((((x + 1) * 2) * (x + 1)) * (2 + 1)) div ((((2 + 2) * 2) + x) + 1))
A326299: 0 2 4 8 11 15 19 24 28 33 38 43 48 53 58 64
((((((((2 + 1) * 2) + 1) * x) * 2) div (((x + 2) + 2) + 2)) + x) + 1)
A231407: 1 4 6
A078941: 1 4 6 8 10 12 14 15 17 18 19 21
A078942: 1 4 6 8 10 12 14 15 17 18 19 21 22 23 24 26
((((x - ((((x + 2) mod ((2 + 1) * 2)) - (x div 2)) div 2)) div 2) + x) + 1)
A141489: 0 2 3 4 7 9 10 11 13 14 17 18 20 21 23 24
((((((((1 - x) mod (((x div 2) + 2) + 2)) div 2) + x) div 2) div 2) + x) + 1)
A289002: 1 2 4 5 6 7 8 9 11 12 13 15 17 18 19 20
(((((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) + x) div 2) * 2) - x) + 1)
A004074: 1 0 1 0 1 2 1 0 1 2 3 2 3 2 1 0
(((((((x mod ((2 + 2) * 2)) + x) div ((2 + 2) + 1)) + x) div 2) + x) + 1)
A320474: 1 2 4 6 7 9 11 12 13 15 17 18 20 22 24 25
(((((((x * 2) mod (((0 - 2) - 2) - 1)) div (2 + 1)) + x) div 2) + x) + 1)
A207432: 1 2 3 4 6 8 9 11 12 14 16 17 18 19 21 23
(((((((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2) + x) * 2) + x) + 1)
A286728: 3 4 7 12 13 18 21 22 25 30 33 34 39 40 43 48
(((((((x * x) * 2) div (((2 + 2) * 2) + (x div 2))) + x) div 2) + x) + 1)
A186152: 1 2 4 6 8 11 13 15 18 21 23 26 29 32 35 38
((((((x + 2) + 2) * (x + 1)) + 1) * (x + 1)) * (((x + 2) * x) + 1))
A221465: 5 88 513 1856 5125 11880 24353 45568 79461 131000 206305 312768 459173 655816 914625 1249280
(((((x - ((x * x) div (((x + 2) + 2) + 1))) mod 2) + (x * 2)) + x) + 1)
A022441: 1 5 7 10 14 17 20 23 25 28 31 34 37 40 43 46
((x div (((((2 + 2) * (2 + 1)) - (x mod (2 + 1))) + (x div 2)) - x)) + 1)
A261796: 1 1 1 1 1 1 1 2 2 2 2 3 3 4 5 4
((((((x + 2) * x) + 1) div ((((2 + 2) * 2) * 2) + (x div 2))) + x) + 1)
A214977: 1 2 3 4 6 8 9 11 13 15 16 18 20 22 24 27
(((((x - ((((x div 2) * (2 + 1)) div 2) div 2)) mod 2) - (x mod 2)) + x) + 1)
A332807-A332805: 1 2 3 4 6 5 7 8 10 9 12 11 13 14 16 15
compr(\x.(1 - (x mod ((x mod (((x + 1) div ((2 + 2) + 1)) + 1)) + 1))),(x + 1))
A091901: 7 11 13 14 15 17 19 21 22 23 25 26 27 28 29 31
compr(\x.(x mod ((x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))) + 1)),(x + 1))
A178158-A034709: 1 2 3 4 5 6 7 8 9 11 12 15 21 22 24 25
((((x + 1) div ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) * (x + 1))
A129902: 2 6 6 12 10 24 14 24 18 30 22 60 26 42 30 48
((((((x div ((0 - 2) - 1)) mod 2) - (x mod 2)) * (2 + 1)) + 1) mod (x + 1))
A343408: 0 1 1 1 1 4 1 1 4 1 1 10 1 1 4 1
((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1)) + 1) * (x + 1))
A173141-A031692: 50 198 444 788 1230 1770 2408 3144 3978 4910 5940 7068 8294 9618 11040 12560
compr(\x.(x mod (((0 - ((x + 1) mod ((2 + 2) * 2))) mod (x + 1)) + 1)),(x + 1))
A033072: 1 2 3 4 5 6 7 9 15 17 23 25 31 33 39 41
((((((x * x) + 1) * x) div (x + 2)) div (((2 + 1) * 2) + 1)) mod (x + 1))
A284173: 0 0 0 0 1 2 3 5 7 9 1 2 4 7 9 12
(((((2 + 2) * 2) * 2) - ((x div 2) div (((2 + 1) * 2) + 1))) * (x + 1))
A044856: 16 32 48 64 80 96 112 128 144 160 176 192 208 224 225 240
compr(\x.(((x mod (((2 + 2) + 1) * 2)) + x) mod (((2 + 1) * 2) + 1)),(x + 1))
A190495: 7 12 19 24 36 41 48 53 65 70 77 82 89 94 106 111
(2 - ((1 - ((x div 2) mod (((x * x) mod ((2 + 1) * 2)) + 1))) div (x + 1)))
A064656: 1 2 2 2 3 2 2 2 3 2 2 2 2 2 3 3
(((x mod ((2 - (x mod (((x mod (2 + 2)) - x) - 1))) div 2)) + 1) mod (x + 1))
A300239-A174726: 0 1 1 1 1 1 1 2 1 1 1 4 1 1 1 4
((((x * 2) div (2 - (x - ((((2 + 2) + 1) * 2) * 2)))) + 1) mod (x + 1))
A265410: 0 1 1 1 1 1 1 1 2 2 2 3 3 3 4 5
(((2 - (((x + 2) div (2 - (x mod ((0 - 2) - 2)))) mod 2)) + 1) mod (x + 1))
A268317: 0 1 2 2 2 2 3 2 2 3 2 3 2 2 3 2
(((x div ((((x div ((2 + 2) + 1)) + 1) mod (2 + 2)) + 2)) + 1) * (x + 1))
A131959: 1 2 3 8
A190650: 1 2 3 8 10 12 14 16 27 30 33 36 39 42 45 128
(((((x + 1) mod (2 + 2)) + 1) + (x mod (((2 + 2) * 2) + 1))) mod (x + 1))
A072516: 0 0 0 0 1 2 3 0 1 3 5 3 5 7 9 7
(((((x * 2) * 2) * 2) - ((x div (0 - 2)) div ((2 + 2) + 1))) + (x + 1))
A302563: 1 11 20 29 38 47 56 65 74 83 92 102 111 120 129 138
compr(\x.((x mod (((2 + 2) * 2) + 1)) - ((x div 2) mod ((2 + 2) + 1))),(x + 1))
A297267-A297144-A296711: 9 18 19 27 28 29 36 37 38 39 45 46 47 48 49 54
((x - (((((((x div 2) + x) * x) + 2) div (x + 2)) div 2) - 1)) * (x + 1))
A231407: 1 4 6
A104236: 1 4 6 12 15 24 28 32 45 50 55 72 78 84 90 112
compr(\x.((x - ((x * 2) mod (((2 + 2) * (2 + 1)) + 1))) mod (2 + 1)),(x + 1))
A191103: 3 6 7 10 14 17 21 24 28 31 35 38 39 42 45 46
((((x - 1) * x) div ((x - ((x div 2) div (2 + 1))) + (2 + 1))) + (x + 1))
A120836: 1 2 3 5 6 8 10 12 14 16 18 20 23 25 27 29
((x - (1 - (((((2 + 2) * 2) * 2) * (x + 1)) * (2 + 1)))) * (x + 1))
A157362: 47 192 435 776 1215 1752 2387 3120 3951 4880 5907 7032 8255 9576 10995 12512
((((((x - ((2 - x) div (2 + 2))) div 2) * 2) + x) + (2 + 1)) * (x + 1))
A101332: 3 8 21 40 55 84 105 144 189 220 275 336 377 448 495 576
(((((x - (1 - (((x + 1) * 2) * (2 + 1)))) * x) div 2) + 1) * (x + 1))
A100171: 1 14 60 160 335 606 994 1520 2205 3070 4136 5424 6955 8750 10830 13216
(((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * x) + 1) * (x + 1))
A062509-A061537: 1 2 3 4 5 36 7 8 9 100 11 144 13 196 225 16
((((((2 + 2) + 1) * x) * 2) div ((((2 + 2) * 2) + x) + 1)) + (x + 1))
A322741: 1 3 4 6 8 9 11 12 13 15 16 17 18 19 21 22
(compr(\x.(1 - (x mod (((x mod (2 + 1)) * (2 + 1)) + 2))),(x + 1)) - (x + 1))
A087846: 1 1 1 1 2 3 4 5 5 5 5 5 6 6 6 6
compr(\x.(((((x * 2) * 2) * 2) mod (((2 + 2) * (2 + 1)) + 1)) mod 2),(x + 1))
A283767: 1 4 7 8 10 11 13 14 17 20 21 23 24 26 27 30
((((((x * 2) - 1) * x) mod (((2 + 2) * (2 + 1)) + 1)) + 2) div (x + 1))
A091704: 2 1 2 1 0 1 0 0 0 1 0 1 0 0 0 0
(((((((2 + 2) * (x + 1)) + ((x div 2) mod 2)) * 2) - 1) * 2) - (x + 1))
A161453: 13 28 47 62 73 88 107 122 133 148 167 182 193 208 227 242
((((((x + 2) div (((x mod 2) * 2) + 1)) mod (2 + 2)) + 1) div 2) mod (x + 1))
A301652: 0 1 0 1 1 1 0 2 1 2 0 0 1 1 0 1
compr(\x.((x mod (((2 + 2) * 2) + 1)) - (x mod (((2 + 2) + 1) * 2))),(x + 1))
A032888: 1 2 3 4 5 6 7 8 9 18 19 27 28 29 36 37
(((x div (1 - ((((x + 1) mod (2 + 2)) + 1) * (2 + 1)))) mod 2) * (x + 1))
A145105: 0 2 3 0 5 6 7 0 0 0 11 0 13 0 0 0
compr(\x.(1 - (x mod (((1 - ((x * 2) div (2 + 1))) mod (2 + 1)) + 2))),(x + 1))
A340787: 3 5 7 10 11 13 14 15 17 19 21 22 23 25 26 28
compr(\x.(1 - (x mod (((x div (1 - ((2 + 2) * 2))) mod (2 + 1)) + 2))),(x + 1))
A084116-A002035: 2 3 5 6 7 8 10 11 13 14 15 17 19 21 22 23
(((((x mod ((x div (0 - 2)) - 1)) + 2) + (x div (2 + 1))) + 2) mod (x + 1))
A119707: 0 1 1 1 3 2 4 3 4 4 5 4 6 5 6 6
((1 - (x mod ((((x * x) + (2 + 2)) mod ((x + 2) + 1)) + 2))) div (x + 1))
A128430: 1 0 ~1 0 ~1 ~1 0 ~1 0 0 0 ~1 ~1 ~1 ~1 0
compr(\x.(1 - (x mod ((((1 - x) * (x - 1)) mod ((x div 2) + 1)) + 2))),(x + 1))
A122686: 2 3 5 6 7 8 11 12 13 14 15 17 19 21 22 23
((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1)) + 2) * (x + 1))
A157365: 51 200 447 792 1235 1776 2415 3152 3987 4920 5951 7080 8307 9632 11055 12576
(((((((x + 2) * x) * ((2 + 2) + 1)) + 2) * (x + 1)) div 2) * (x + 1))
A269237: 1 34 189 616 1525 3186 5929 10144 16281 24850 36421 51624 71149 95746 126225 163456
compr(\x.(1 - (x mod (((x mod (((x mod (2 + 2)) * 2) + 1)) mod 2) + 2))),(x + 1))
A230203: 5 7 9 11 13 17 19 21 23 25 26 27 29 31 33 35
compr(\x.(1 - (x mod (((((x - 1) * x) div 2) mod ((2 + 1) * 2)) + 2))),(x + 1))
A007989: 2 3 5 6 7 8 9 11 13 14 17 18 19 20 21 22
(((((((x + 2) * x) + 1) + ((x * x) div (2 + 1))) * 2) * 2) * (x + 1))
A239056: 4 32 120 304 600 1056 1708 2560 3672 5080 6776 8832 11284 14112 17400 21184
compr(\x.((((x mod ((x div (2 + 2)) + 1)) * ((x div 2) + 1)) div 2) mod 2),(x + 1))
A187102: 1 2 3 4 6 7 9 11
A026468: 1 2 3 4 6 7 9 11 12 14 15 16 19 21 22 23
((((((((x div ((2 + 2) * 2)) + x) * 2) + 1) * 2) * 2) * 2) - (x + 1))
A161447: 7 22 37 52 67 82 97 112 143 158 173 188 203 218 233 248
compr(\x.((x * x) mod (x - (((1 - (((2 + 2) * 2) * 2)) * 2) * 2))),(x + 1))
A162820: 12 15 20 30 40 60 84 90 120 140 165 180 240 300 340 390
(((((((((x - 2) * x) * (x - 2)) div 2) div 2) div 2) div 2) * 2) + (x + 1))
A094863: 1 2 3 4 7 10 19 28
(((2 - (((((x * 2) + 1) mod ((x div 2) + 2)) div 2) mod 2)) + 2) * (x + 1))
A162215: 4 8 9 16 20 18 21 32 36 40 44 36 52 42 45 64
((1 - (((0 - x) mod ((2 + 2) + 1)) - (x mod ((2 + 2) * 2)))) div (x + 1))
A185125: 1 ~1 0 0 0 1 0 0 ~1 0 0 0 0 0 0 0
(((((x * 2) - (x mod (2 + 2))) + 1) div (2 + 1)) + ((2 + 2) * (x + 1)))
A189370: 4 8 13 17 23 27 31 36 41 46 50 54 60 64 69 73
compr(\x.(((x mod (((2 + 2) + 1) * 2)) * (2 + 1)) - (x div (2 + 2))),(x + 1))
A297270-A297147-A296714-A267759-A210589-A071590: 10 20 21 30 31 32 40 41 42 43 50 51 52 53 54 60
(((((((2 + 1) * x) * ((2 + 2) + 1)) + 1) * (x + 2)) div 2) * (x + 1))
A130566: 1 48 186 460 915 1596 2548 3816 5445 7480 9966 12948 16471 20580 25320 30736
(((x - 1) div (((x div (((2 + 1) * 2) + 1)) + (x mod 2)) + 2)) mod (x + 1))
A232548: 0 0 0 0 1 1 2 1 2 2 3 2 3 3 3 2
((x - (((((1 - (x * x)) * x) div 2) div (2 + 1)) - 1)) + (2 mod (x + 1)))
A180739: 1 2 6 10 17 28 44 66 95 132 178 234
(((((((x + 2) + 2) * (x + 2)) * (x + 1)) - 1) * (x + 2)) * (x + 1))
A269469: 14 174 852 2780 7170 15834 31304 56952 97110 157190 243804 364884 529802 749490 1036560 1405424
(((((((x + 1) * x) * ((x + 2) + 1)) - 1) * x) * (x + 2)) * (x + 1))
A214945: 0 42 696 4260 16680 50190 126672 281736 569520 1068210 1886280 3169452 5108376 7947030 11991840 17621520
((((((x + 2) * (x + 2)) * ((x + 2) + 1)) + x) * (x + 2)) * (x + 1))
A269777: 24 222 984 3060 7680 16674 32592 58824 99720 160710 248424 370812 537264 758730 1047840 1419024
(((((((2 + 1) * 2) + 1) * (x div (2 + 2))) div 2) + (x div 2)) + (x + 1))
A156799: 1 2 4 5 10 11 13 14 20 21 23 24 29 30 32 33
compr(\x.((((1 - (x div ((2 + 2) * 2))) * (2 + 1)) * (2 + 1)) + x),(x + 1))
A296878: 80 81 88 89 90 96 97 98 99 104 105 106 107 108 112 113
(compr(\x.(((x div 2) mod ((((x mod 2) * 2) * (2 + 1)) + 1)) - 1),x) - (x - 1))
A006160: 1 1 1 1 1 2 3 4 5 6 6 6 6 6 7 8
(((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + (x * x)) * x) - (x - 1))
A124363: 1 73 151 241 349 481 643 841 1081 1369 1711 2113 2581 3121 3739 4441
((((((((((x * 2) * (x + 1)) + 1) * 2) * 2) - 1) * 2) - x) * x) + 1)
A005910: 1 38 201 586 1289 2406 4033 6266 9201 12934 17561 23178 29881 37766 46929 57466
(((((x mod (2 + 1)) div 2) + 1) * ((x mod (2 + 1)) + 1)) mod ((x * x) + 1))
A021892: 0 0 1 1 2 6 1 2 6 1 2 6 1 2 6 1
(((x mod (((((x mod 2) * x) div 2) + (x div ((2 + 2) + 1))) + 1)) + 1) div 2)
A229951: 0 0 0 1 0 1 0 1 0 2 1 2 0 2 1 2
((((((x - 1) mod (2 + 1)) + 1) * ((x div ((2 + 2) + 1)) + 1)) - 1) div 2)
A029277: 1 0 0 1 0 1 2 0 1 2 1 2 4 1 2 5
((((((((x div 2) + 1) mod 2) * x) + 1) mod ((x div (2 + 1)) + 1)) + 1) div 2)
A122923: 0 0 0 1 1 0 1 1 0 1 1 1 2 2 1 1
(((x mod (((x mod (((x mod 2) + 2) + 1)) mod ((x div 2) + 1)) + 1)) + 1) div 2)
A308427-A276806: 0 0 0 1 0 1 0 2 1 1 0 2 0 1 1 2
(((x mod ((((x * x) mod ((2 + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1) div 2)
A334107: 0 0 0 1 0 1 0 1 2 1 0 1 0 1 2 2
((x mod ((x mod ((((x + 2) mod ((x div (2 + 2)) + 1)) * 2) + 1)) + 1)) div 2)
A331594: 0 0 0 0 0 1 0 0 1 2 0 1 0 3 0 0
((((((x + 2) * x) + 1) mod ((((x - 1) mod (2 + 1)) * 2) + 1)) + 1) div 2)
A126825: 1 0 0 1 0 0 2 0 0 0 0 0 2 0 0 1
(((x div (((((x * x) mod (((x + 2) + 2) + 1)) div 2) + 2) + 1)) + 1) * 2)
A105681: 2 2 2 4 2 4 4 6 2 4 4 4 4 6 6 8
((((((x * x) * x) div 2) div (((((2 + 2) * 2) * 2) * 2) - 1)) + 1) div 2)
A059291: 0 0 0 0 1 1 2 3 4 6 8 11 14 18 22 27
(x mod (((x div 2) div (((1 - (x * 2)) mod (((2 + 2) * 2) + 1)) + 1)) + 2))
A325960: 0 1 0 1 0 1 0 1 2 1 0 1 0 1 5 1
((((x * 2) + 1) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 1)) + 1)) + 2)
A133829: 2 2 3 2 2 4 2 2 3 5 2 4 2 2 6 2
((x - ((((((x + 2) * x) div (2 + 2)) + 1) mod ((2 + 2) + 1)) - 1)) div 2)
A194214: 0 0 0 0 1 1 2 3 4 5 5 5 5 5 6 6
((((x + 1) div ((2 + 2) + 1)) + x) + (((x div ((2 + 2) + 1)) + 1) * 2))
A047502: 2 3 4 5 7 10 11 12 13 15 18 19 20 21 23 26
(((((((2 - x) div (2 + 2)) * x) div 2) mod ((x div (2 + 2)) + 1)) + 1) div 2)
A070088: 0 0 0 0 0 1 1 1 1 0 1 1 1 0 2 1
((((x + 1) mod (((x * 2) div (((x div 2) - (x mod 2)) + 2)) + 1)) + 1) div 2)
A102550: 0 1 1 0 1 1 1 0 0 1 1 0 1 1 2 0
(x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2))
A253559-A252736-A140748: 0 0 0 1 0 1 0 2 1 1 0 2 0 1 1 3
(x - (((x div 2) div ((((x div 2) mod ((2 + 2) + 1)) * (2 + 1)) + 1)) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A309589: 0 1 2 3 4 5 6 7 8 9 0 1 10 11 12 13
((((((((x div ((2 + 2) + 1)) + x) * 2) + 1) * 2) div (2 + 1)) + 1) * 2)
A260400: 2 6 8 10 14 18 22 24 26 30 34 38 40 42 46 50
((((x + 1) div (2 - ((x mod 2) - (((x + 1) div 2) div (2 + 1))))) + 1) div 2)
A193929: 0 1 1 2 1 2 1 2 2 3 2 2 2 2 2 3
((((x mod ((2 + 2) + 1)) + 2) div ((((x + 1) div 2) mod (2 + 1)) + 1)) div 2)
A264620: 1 0 1 0 1 1 1 1 1 1 0 1 2 1 1 0
((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A070629: 0 1 32 13 12 43 2 17 16 31 42 5 18 27 38 7
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) + 1) * 2))
A070649: 0 1 12 1 14 25 12 25 12 1 14 25 14 13 14 25
(x - ((((x mod ((2 + 2) * 2)) - x) * (((2 + 2) * (2 + 1)) + 1)) div 2))
A024648: 0 1 2 3 4 5 6 7 60 61 62 63 64 65 66 67
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A070645: 0 1 20 3 4 5 16 15 14 9 12 11 12 9 14 15
((x - (((((((2 - x) * x) div (2 + 2)) * x) div 2) div (2 + 1)) - 1)) div 2)
A292444: 0 1 1 2 3 5 6 9 12 17 22
(1 - (((2 + 1) * x) div ((x div (((1 - (x div 2)) div (2 + 1)) - 1)) - 2)))
A196241: 1 2 3 3 4 4 5 5 5 5 6 7 7 7 7 8
((x - (((1 - (((x div (2 + 1)) mod (2 + 1)) + x)) div (2 + 1)) - 1)) * 2)
A232745: 2 4 8 10 14 16 20 22 24 26 28 32 34 38 40 44
(((x mod (2 + 2)) mod (((x * 2) mod (2 - ((1 - x) div (2 + 1)))) + 1)) * 2)
A318879: 0 0 0 0 0 2 0 0 0 2 0 6 0 2 0 0
(((((((((2 + 2) * (x + 1)) + x) * 2) * 2) - x) * (2 + 1)) - 1) * 2)
A304609: 94 208 322 436 550 664 778 892 1006 1120 1234 1348 1462 1576 1690 1804
(((x + 1) mod ((((x - 1) div ((2 + 2) + 1)) * (x div (2 + 1))) + 1)) div 2)
A239428: 0 0 0 0 0 0 0 1 0 1 1 2 2 2 3 2
(((x + 1) mod ((x div ((((x div 2) mod 2) + 2) + (x mod (2 + 1)))) + 1)) div 2)
A340860: 0 0 0 0 0 0 0 0 0 0 1 0 3 2 0 2
((x mod (((((x * x) div (2 + 1)) * (x + 1)) mod ((x div 2) + 1)) + 1)) + 2)
A307590: 2 2 2 2 2 2 2 2 5 2 4 2 2 2 8 2
(((x - 1) mod ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) + 1)) * 2)
A231037: 0 0 0 0 0 0 0 0 2 0 0 4 10 0 0 0
(((x div (((((x div ((0 - 2) - 2)) mod 2) + 1) + (x mod 2)) + 1)) + 1) div 2)
A308452: 0 0 0 0 1 1 2 1 2 1 2 1 2 2 4 3
((compr(\x.(((x * x) mod ((((x + 2) * 2) * 2) + 1)) mod 2),(x + 1)) - 1) * 2)
A191331: 2 6 12 16 18 22 28 32 34 38 42 44 48 54 58 60
((x mod ((((((x div (2 + 1)) * (2 - x)) * 2) * 2) mod (x + 1)) + 1)) div 2)
A035666: 0 0 0 0 0 0 1 0 0 1 1 0 1 3 1 1
((((((((x + 1) * x) div 2) + ((2 + 2) + 1)) * x) div (x + 1)) + 1) div 2)
A134953: 0 2 3 4 6 8 11 14 18 23 27
((x - 1) mod ((x mod ((x mod (2 - ((x div (2 + 2)) div (0 - 2)))) + 1)) + 2))
A229297: 1 0 1 2 1 0 1 0 3 0 1 2 1 0 1 4
(((((x div (((x - 2) mod (((x div 2) mod 2) + 2)) + 1)) + 1) div 2) + 1) div 2)
A340274: 0 0 1 1 1 1 1 1 2 1 1 3 3 2 4 2
((((x mod (((((x div 2) - 1) div 2) * (x div (2 + 1))) - 1)) div 2) + 1) * 2)
A098708: 2 2 2 2 2 2 2 2 2 2 2 2 6 8 4 2
(x - ((((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) - 1) div 2))
A063659: 1 2 3 3 5 6 7 6 8 10 11 9 13 14 15 12
((x - (((x - (x div ((((x div (2 + 1)) + 1) div 2) + 1))) div 2) - 1)) + 2)
A009070: 3 4 5 5 6 7 8 8 9 9 10 10 11 12 12 12
(1 - ((x mod (((x div (((((x mod 2) - 2) * 2) * 2) - 1)) * 2) + 1)) div 2))
A290267: 1 1 1 1 1 1 1 2 1 1 2 3 1 2 2 1
((((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) div 2) + 1) * 2)
A096494: 2 2 4 4 6 6 8 8 8 10 10 12 12 12 12 14
((((((x * 2) - (x mod ((0 - 2) - 2))) * ((2 + 2) + 1)) div 2) + 1) div 2)
A001746: 0 6 8 9 10 16 18 19 20 26 28 29 30 36 38 39
(((((x + 1) mod (x - (2 - ((x * 2) mod ((2 + 2) + 1))))) mod 2) + 1) * 2)
A064127: 4 2 4 2 2 2 4 2 2 2 4 4 4 2 2 4
((x mod (((1 - ((x div 2) mod (((2 - x) mod (2 + 2)) + 1))) * 2) + 1)) div 2)
A143518: 0 0 1 0 0 1 0 ~1 0 0 0 0 0 0 1 0
((((((((((x - 2) * x) div (x + 2)) * x) div 2) div 2) + 1) div 2) + 1) div 2)
A340751: 0 0 0 0 1 1 1 2 2 3 4 5 6 8 9 11
((((x * x) div ((x - ((x div ((2 + 2) + 1)) mod (2 + 1))) + 2)) + 1) div 2)
A071823: 0 0 1 1 1 2 3 3 4 4 5 6 6 7 7 7
(((x div ((((2 - ((x div 2) mod 2)) * (x + 1)) mod (2 + 1)) + 2)) + 1) div 2)
A161104-A161065: 0 0 1 1 1 1 1 1 2 1 1 3 2 2 4 3
((((((x + 1) mod ((2 + 2) + 1)) + ((x + 1) mod (2 + 1))) div 2) + 1) div 2)
A262124-A215401: 1 1 1 1 1 0 1 1 1 0 1 1 1 2 0 1
(((x div (((x - 1) mod (((x div (2 + 1)) mod 2) + (2 + 1))) + 2)) + 1) div 2)
A230241: 0 0 0 0 0 1 1 2 1 2 2 1 2 3 2 2
(((x div (((((x + 2) * x) + 2) mod ((2 + 2) * (2 + 1))) + 2)) + 1) div 2)
A243840: 0 0 0 0 1 1 1 1 0 1 1 2 2 1 1 1
((((x + 1) * 2) - ((((x mod 2) + x) * 2) div (((2 + 1) * 2) + 1))) * 2)
A285374: 4 8 12 14 18 22 26 28 32 36 40 42 46 48 52 56
(2 - (((x div ((x mod (0 - 2)) - 2)) + (x div (((2 + 1) * 2) + 1))) mod 2))
A270645: 2 1 1 1 2 2 1 2 1 2 2 1 1 2 1 1
(x div (((((x div (2 + 2)) + 1) div (2 - ((x mod (2 + 1)) mod 2))) + 1) * 2))
A024327: 0 0 1 1 0 1 1 1 2 2 1 2 2 1 2 2
(x - (((((((((x + 1) div 2) div (2 + 1)) * x) div 2) + 1) div 2) + 1) div 2))
A277814: 0 1 2 3 4 4 5 6 7 8 8 8 9 9 10 11
(((((x + 2) + 2) + 1) mod ((((x div 2) div ((x mod 2) + 1)) * 2) + 1)) div 2)
A249441: 0 0 0 0 2 0 2 0 2 2 2 0 2 2 2 3
(((((x - (((x * x) div ((x + 2) + 2)) - 1)) * (x + 1)) div 2) + 1) div 2)
A035058: 0 1 2 3 4 6 7 8 9 10 11 12 13 18 19 20
((x - (((0 - (((x mod ((2 + 2) * 2)) + 2) mod (x + 1))) div 2) - 1)) * 2)
A173634: 2 6 8 10 12 14 16 18 20 24 26 30 32 36 38 42
(((x mod (((x - 1) mod (2 - ((x div (2 + 2)) div (0 - 2)))) + 2)) + 1) div 2)
A105241: 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 2
((((x + 1) * x) - (((x - ((x + 1) mod ((2 + 1) * 2))) div 2) - 1)) div 2)
A262136: 1 2 4 7 11 14 20 27 35 44 54 64 76 89 103 118
((((x div 2) + 2) div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) * 2)
A160812: 0 0 0 0 2 0 2 0 2 2 4 0 4 2 2 2
((((x + 1) div (((((x * x) + 1) mod ((x div 2) + 1)) div 2) + 2)) + 1) div 2)
A102382: 0 1 1 1 1 1 2 1 2 2 1 2 2 2 2 3
((x - (((((x - (x div (2 + 2))) div 2) - ((x + 1) * 2)) * 2) - 1)) * 2)
A101869: 10 20 26 36 46 52 62 68 78 88 94 104 114 120 130 136
(((x div (2 + 1)) + 1) div (((1 - x) mod ((((x + 1) div 2) div 2) + 1)) + 2))
A276167: 0 0 0 1 0 1 1 1 0 1 2 1 1 2 1 2
(x - ((x div ((((((x - 2) mod ((x div 2) + 1)) div 2) mod 2) + 2) + 1)) * 2))
A165477: 0 1 2 1 2 3 2 3 4 5 6 7 6 5 6 5
(((((((x - ((x * x) mod (2 + 1))) * (x + 1)) div 2) div 2) div 2) + 1) div 2)
A145806: 0 0 0 1 1 2 3 3 4 6 6 8 10 11 12 15
(1 - (x div (0 - (((x div 2) div (((((x + 1) div 2) div 2) div 2) + 1)) + 2))))
A106161: 1 2 2 2 2 3 3 4 3 4 4 4 4 4 4 5
(x - (((((((1 - x) div (2 + 1)) * ((x - 1) div 2)) div 2) div 2) + 1) div 2))
A293168: 0 1 2 3 4 5 6 8 9 10 11 13 14 16 18 19
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) + 1) * 2))
A070657: 0 1 30 15 16 19 8 9 4 21 26 25 2 33 32 13
((2 - (((x * 2) + 1) mod ((((2 - x) div ((2 + 2) * 2)) * 2) - 1))) div 2)
A103956: 1 1 1 2 1 1 2 1 1 2 1 2 1 2 1 3
((((x + 1) mod ((x - (((x mod 2) * x) mod ((2 + 2) * 2))) + 2)) + 1) div 2)
A008723: 1 0 2 0 3 0 4 0 5 0 6 1 7 2 8 3
((((((x - 1) * x) * (x - 1)) mod (((x div (2 + 2)) + 2) + 2)) + 1) div 2)
A242249: 0 0 1 0 1 0 0 1 1 0 0 1 2 2 0 0
((((((((((x * x) div (2 + 2)) + 2) * x) div 2) div 2) div 2) div 2) + 1) div 2)
A238006: 0 0 0 0 1 1 2 3 5 6 8 11 14 18 22 27
((((x + 1) div (((((x * x) + 1) div ((x div 2) + 2)) mod 2) + 2)) + 1) div 2)
A340134: 0 0 1 1 1 2 1 2 2 2 3 2 3 2 3 3
(x - (((((x div 2) * 2) div ((2 + 2) + 1)) * (((2 + 2) * 2) + 1)) div 2))
A119281: 0 1 2 3 4 5 2 3 4 5 1 2 3 4 5 6
(x - ((((x mod (((2 + 2) * 2) + 1)) - x) * (((2 + 2) * 2) + 1)) div 2))
A024653: 0 1 2 3 4 5 6 7 8 50 51 52 53 54 55 56
(1 - ((((((((2 - x) div 2) * x) div 2) * x) div ((2 + 2) * 2)) + 1) div 2))
A332557: 1 1 1 1 1 3 3 6 7 11 13 20
((((((x - (((x div 2) mod 2) - 1)) div 2) * (x - (2 + 2))) div 2) + 1) + 2)
A211939: 3 1 2 2 3 4 6 7 11 15
((((x div (2 + 2)) + 1) div ((x div ((x div ((x mod 2) + 2)) + 2)) + 1)) * 2)
A036476: 2 2 2 0 2 2 2 2 2 2 2 2 4 2 4 2
(((((x mod (((2 + 2) * (2 + 1)) - 1)) * 2) + 1) mod ((2 + 2) + 1)) div 2)
A277731: 0 1 0 1 2 0 1 0 1 2 0 0 1 0 1 2
(x - (((((x * 2) - ((x + 1) mod (2 + 2))) + 1) div ((2 + 2) + 1)) * 2))
A277214: 0 1 2 1 2 3 2 1 2 3 4 3 4 3 4 3
(2 - (((((((x div 2) + x) div (2 + 2)) + x) + 1) mod ((2 + 2) + 1)) div 2))
A190672: 2 1 1 2 2 1 0 2 1 1 0 2 1 1 2 2
((((2 - (x mod (((x div 2) mod 2) + 2))) * (x + 1)) mod ((2 + 2) + 1)) div 2)
A035185: 1 1 0 1 0 0 2 1 1 0 0 0 0 2 0 1
((x - (((x - (((x - 1) * x) div (2 + 1))) div 2) div ((2 + 2) + 1))) + 2)
A133194: 2 3 4 5 6 8 9 10 11 13 14 16 18 19 21 23
(x - ((((((((x - 1) div 2) div 2) mod 2) + x) * 2) div ((2 + 2) + 1)) * 2))
A214526: 0 1 2 1 2 1 2 1 2 3 2 3 4 3 2 3
(((1 - ((((x * x) + 1) div ((x + 2) + 1)) + x)) mod ((2 + 2) + 1)) div 2)
A095734: 0 0 1 1 0 1 0 2 1 0 2 1 0 1 0 2
(((((x div (((2 - x) mod (2 + 2)) + 2)) + 2) + x) mod ((2 + 2) + 1)) div 2)
A286320-A284171-A104276: 1 1 0 0 1 1 0 0 1 2 1 0 1 2 1 0
(x - ((((((x mod 2) + 2) * (x div (2 + 2))) + x) div ((2 + 2) + 1)) * 2))
A240834: 0 1 2 3 2 3 4 3 4 3 6 5 6 5 6 7
(((x - ((x div ((x div (0 - 2)) - 1)) - 1)) + (x div ((2 + 2) + 1))) + 2)
A161373: 3 5 6 7 9 11 12 13 14 15 17 18 19 20 21 23
((1 - ((2 - x) div (((x mod 2) + 2) + 2))) - ((x div ((2 + 2) + 1)) mod 2))
A143488: 1 1 1 2 2 1 1 1 2 2 3 3 4 4 4 3
((((x div ((2 + 2) + 1)) + 2) div ((((x div 2) + x) mod (2 + 2)) + 1)) div 2)
A219486: 1 0 0 1 0 0 0 0 1 0 0 2 0 0 1 0
(((x + 1) * 2) - ((x mod (2 - (x mod (0 - ((x div (2 + 2)) + 1))))) mod 2))
A284907: 2 3 6 7 10 12 14 15 18 19 22 24 26 27 30 32
((((x * 2) - (((x div 2) * x) mod 2)) + 2) + (((x div (2 + 2)) + 1) * 2))
A262389-A118951: 4 6 8 9 14 16 18 19 24 26 28 29 34 36 38 39
((x - (((((x div (2 + 1)) * (x - 2)) * ((2 - x) div 2)) div 2) - 1)) * 2)
A309374: 2 4 6 10 12
A064374: 2 4 6 10 12 18 30
(((((((x mod 2) + 2) * 2) * 2) * (x + 1)) mod (((x + 2) + 2) + 1)) * 2)
A064373: 6 0 6 0 8 4 2
(1 - ((x - ((((x * 2) * 2) * (x + 1)) div (((x + 2) + 2) + 1))) div 2))
A338375: 1 1 2 3 3 5 6 7 8 9 11 12 13 15 16 18
(((((((x + 2) * x) + 1) div ((2 + 2) + 1)) - ((x div 2) mod 2)) + 1) div 2)
A282847: 0 0 0 1 3 4 4 6 8 10 12 14 17 20
(x div ((((((x div ((x mod (2 + 2)) + 1)) + 1) + (x mod 2)) div 2) + 1) * 2))
A027348: 0 0 1 0 0 0 1 1 0 1 1 1 0 1 2 2
((((x mod ((x div (((x div (2 + 1)) + 2) + 1)) + 1)) + 1) * (2 + 1)) div 2)
A334464: 1 1 1 1 1 3 1 3 1 3 1 3 1 3 4 3
((((((((x + 1) * x) div (2 + 2)) * 2) div (2 + 1)) + 1) div (2 + 1)) * 2)
A345256: 0 0 0 2 2 2 4 6 8 10 12 14 18 20 22 26
(x - ((x - (((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) mod (2 + 1))) div 2))
A244988: 1 1 2 2 2 3 4 4 5 5 5 6 7 8 8 8
((x + 1) div ((x - (((x * 2) div (((2 + 1) * 2) + 1)) * (2 + 1))) + 2))
A241675: 0 0 0 0 1 1 1 2 2 2 1 3 2 2 3 3
((x * 2) - ((x - ((((x mod ((x div 2) + 1)) div 2) + 1) mod (2 + 1))) div 2))
A188019: 1 2 4 5 7 9 10 12 13 14 15 17 18 20 22 23
(1 - ((x div 2) - (((((2 + 1) * x) div ((2 + 2) + 1)) * (2 + 1)) div 2)))
A068962: 1 1 1 1 2 3 2 4 3 4 5 5 5 5 6 7
((((((x + 1) div (2 + 1)) + 1) mod ((x div (2 + 2)) + 1)) * (2 + 1)) div 2)
A227898: 0 0 0 0 0 1 1 1 1 1 1 3 1 1 3 3
((((((x + 2) + 2) * (x + 2)) * (((x + 2) * 2) + 1)) + (2 + 1)) * 2)
A097693: 86 216 438 776 1254 1896 2726 3768 5046 6584 8406 10536 12998 15816 19014 22616
((((((x + 2) + 1) mod (((x * x) div (x + 2)) + 2)) + 1) * (2 + 1)) div 2)
A210622: 3 1 4 1 6 6 6 6 6 6 6 6 6 6 6 6
(((x - (((((2 - x) div (2 + 2)) * 2) - 1) div (2 + 1))) * (2 + 1)) div 2)
A225647: 1 3 4 6 7
A094178: 1 3 4 6 7 9 10 13 15 16 18 21 22 24 25 27
(((((x div 2) div ((2 + 2) + 1)) + ((x + 1) * (2 + 1))) * (2 + 1)) div 2)
A330183: 4 9 13 18 22 27 31 36 40 45 51 55 60 64 69 73
((((((2 + 1) * x) + 2) - (((x + 1) div 2) div (2 + 1))) * (2 + 1)) div 2)
A189797: 3 7 12 16 21 24 28 33 37 42 46 49 54 58 63 67
(x - ((x * x) div (x - (((((2 - x) div 2) div (2 + 1)) * (2 + 1)) - 2))))
A055768: 0 1 1 2 3 3 3 3 4 5 5 5 5 5 6 7
(((((2 mod ((x mod (2 + 1)) + 1)) + (x mod 2)) * (2 + 1)) * (2 + 1)) div 2)
A178143: 0 4 9 4 0 13 0 4 9 4 0 13 0 4 9 4
(x - ((((x + 1) div (2 + 1)) - ((1 - (x div (2 + 1))) div (2 + 1))) * 2))
A119995-A062756: 0 1 0 1 2 1 0 1 0 1 2 1 2 3 2 1
(((((x div (2 + 2)) - ((x - 1) div 2)) + (x div (2 + 1))) * (2 + 1)) div 2)
A090176-A029356: 1 0 0 0 1 0 1 0 1 1 1 0 3 1 1 1
((((1 - ((x + 1) mod ((2 + 2) * 2))) mod ((x * 2) + 1)) div (2 + 1)) div 2)
A073139: 0 0 0 0 0 1 1 0 0 3 3 3 3 3 3 0
(((compr(\x.(x mod (((x mod ((x mod 2) + 2)) * 2) + 1)),x) + 1) * (2 + 1)) div 2)
A231407: 1 4 6
A189715: 1 4 6 7 9 10 13 15 16 19 22 24 25 28 31 33
(((((x div (2 + 1)) + x) div ((2 + 2) + 1)) + ((x - 1) mod (2 + 1))) div 2)
A025837: 1 0 0 1 0 1 1 0 1 2 1 1 2 1 2 3
(((x div ((x div ((x mod (2 + 2)) + 1)) + 2)) + ((x - 1) mod (2 + 1))) div 2)
A117274: 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 2
(((((x div ((2 + 2) + 1)) * (2 + 1)) div 2) + ((x - 1) mod (2 + 1))) div 2)
A029291: 1 0 0 1 0 1 1 0 1 1 1 2 2 1 2 3
(x - (((x - (((x mod ((2 + 2) * (2 + 1))) - 1) div 2)) div (2 + 1)) * 2))
A275727: 0 1 2 3 2 3 4 5 6 7 6 7 4 5 6 7
(((((x + 1) * 2) - (((x div 2) + 2) mod ((2 + 1) * 2))) * (2 + 1)) div 2)
A185256: 0 3 4 7 9 12 13 16 27 30 31 34 36 39 40 43
(((((((2 - x) * (2 + 1)) - 1) mod ((x div 2) + 1)) + 2) div (2 + 1)) + 2)
A216195: 2 2 3 2 3 3 3 2 3 3 4 3 4 3 3 2
((x - (((((x * 2) + 1) div (1 - ((2 + 2) * 2))) * 2) div (2 + 1))) * 2)
A058817: 2 4 6 8 12 14 16 18 20 22 24 28 30 32 36 38
(((2 - (x mod 2)) * x) - ((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)))
A273926: 0 1 3 2 7 4 10 5 15 8 18 9 22 11 25 12
(x mod (((((((x div ((2 + 2) + 1)) mod 2) + x) + 2) * 2) div (2 + 1)) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A031298: 0 1 2 3 4 5 6 7 8 9 0 1 1 1 2 1
((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2))
A048881: 0 0 1 0 1 1 2 0 1 1 2 1 2 2 3 0
(((x - ((((1 - (((x * x) * x) div 2)) * x) div 2) div 2)) * (2 + 1)) + 2)
A006574: 2 5 14 38 107
(((((((x div (2 + 2)) * (x div (2 + 2))) div 2) + x) div 2) * (2 + 1)) div 2)
A325123: 0 0 1 1 3 3 4 4 7 7 9 9 12 12 13 13
(((((((x + 2) * x) + 1) mod ((2 + 2) + 1)) + (x + 2)) div (2 + 1)) div 2)
A345128: 0 1 1 1 1 1 2 2 1 1 2 2 3 2 2 3
(((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + (x * 2)) * (2 + 1)) + 2)
A284395: 2 8 17 23 32 41 47 56 62 71 80 86 95 104 110 119
((1 - (x - (((((2 + 2) + 1) * (x + 2)) + (x div 2)) * (2 + 1)))) div 2)
A006615: 15 22 31 38 46
(((((x mod ((x div (2 + 2)) + 1)) div 2) * (x + 1)) + 1) mod ((2 + 1) * 2))
A046592-A046564: 1 1 1 1 1 1 1 1 4 1 1 1 1 1 4 5
((((((x div 2) mod 2) - x) div 2) mod (((x + 1) * 2) + 1)) + ((2 + 1) * 2))
A343311: 6 10 12 14 15 16 18 20 21 22 24 26 27 28 30 32
((((((x div (2 + 1)) + x) * 2) - ((x div 2) mod 2)) - 1) - ((2 + 1) * 2))
A179177: ~7 ~5 ~4 0 3 5
((((((x * x) * x) * (x * x)) mod ((x * 2) - 1)) mod 2) + ((2 + 1) * 2))
A276861: 6 6 6 7 6 6 6 7 6 6 7 6 6 6 7 6
((x + 2) - ((((((1 - x) * 2) div ((2 + 2) + 1)) - x) * (2 + 1)) div 2))
A190329: 2 5 9 11 15 18 20 24 27 31 33 36 40 42 46 49
((((((x mod (2 + 2)) - 1) * (x + 1)) mod (2 + 1)) + (x div (2 + 1))) div 2)
A029270: 1 0 0 1 1 0 1 1 1 1 2 1 3 2 2 3
(((1 - x) mod (((((x - 1) div 2) mod (2 + 2)) + 2) + (x div (2 + 1)))) div 2)
A034391: 0 0 0 1 0 0 0 0 0 1 0 1 1 2 1 3
((((((x div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + (x mod (2 + 1))) div 2)
A036863: 0 0 1 0 0 1 0 1 1 0 1 2 1 1 2 2
((((x mod (((2 - x) mod ((2 + 2) + 1)) + 2)) div 2) + (x mod (2 + 1))) div 2)
A279952: 0 0 1 0 1 1 0 0 1 1 1 1 0 0 2 0
(((((((x * x) div (2 + 1)) mod (x + 1)) div 2) + 2) - (x mod (2 + 1))) div 2)
A025844: 1 0 0 1 0 0 2 0 0 2 0 1 3 0 1 3
(((2 - ((x div 2) mod (2 + 1))) + (x div (2 + 1))) div ((x mod (2 + 1)) + 2))
A025841: 1 0 0 1 0 0 2 1 0 2 1 0 3 2 1 3
((((((((((x div 2) mod 2) + x) * (2 + 2)) - x) + 1) * x) div 2) + 1) div 2)
A154293: 0 1 6 11 13 20 35 46 50 63 88 105 111 130 165 188
(((((((x - (((x div 2) mod (2 + 1)) - 1)) div 2) div 2) + x) * 2) + 1) * 2)
A000952: 2 6 10 14 18 26 30 38 42 46 50 54 62
(compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1)) * 2)
A282671-A192991-A091375: 8 12 16 18 20 24 28 30 32 36 40 42 44 48 50 52
((((((((x + 2) + 2) * (x + 2)) div 2) + 2) * 2) * ((x + 2) + 1)) * 2)
A137883: 72 144 280 456 728 1056 1512 2040 2728 3504 4472 5544 6840 8256 9928 11736
(((((((x div (2 + 1)) mod (2 + 1)) + x) * x) div 2) div ((x + 2) + 1)) * 2)
A236840: 0 0 0 2 2 2 4 6 6 6 6 8 10 10 12 14
((((((1 - x) mod (((2 + 2) + 1) * 2)) * 2) + 1) mod ((x div 2) + 1)) div 2)
A034393: 0 0 0 0 0 0 1 0 1 0 1 0 2 1 3 2
((((((0 - (x mod (2 + 1))) * (2 + 1)) + x) + 1) mod ((x div 2) + 1)) div 2)
A242165: 0 0 0 0 1 0 1 0 1 0 1 0 3 2 0 0
((x + 1) div ((((((x - 1) mod (2 + 1)) + 1) * 2) mod ((x div 2) + 1)) + 2))
A176725: 0 1 1 2 1 2 1 2 1 3 2 2 1 3 2 2
((((x div ((2 + 2) * 2)) * ((2 + 2) + 1)) + x) + (((x div 2) + 1) div 2))
A023729: 0 1 3 4 5 6 8 9 15 16 18 19 20 21 23 24
((((((((x * x) + 1) * x) * (x + 1)) + 1) * ((x * x) + 2)) + 1) * 2)
A276351: 6 32 374 2664 12278 42176 118182 285704 617894 1225248 2266646 3961832 6605334 10581824 16382918 24625416
((((((((x + 1) div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + x) + 1) * 2)
A254748: 2 4 6 8 12 14 16 18 20 24 26 28 30 32 38 40
(((((((2 + 2) * (x + 1)) + (x div (2 + 2))) * (2 + 1)) + x) + 1) div 2)
A189378: 6 13 19 26 34 40 47 53 61 68 74 81 89 95 102 108
((((((((x + 2) * x) div 2) div ((x mod 2) + 2)) div (2 + 1)) + x) + 1) div 2)
A159050: 0 1 1 2 3 3 5 5 7 7 10 9 13 12 16 15
(((((x * 2) div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + x) + 1) * 2)
A342050: 2 4 8 10 14 16 20 22 26 28 30 32 34 38 40 44
((((x div ((x div (((x * x) mod ((2 + 2) + 1)) + 2)) + 2)) + x) + 1) div 2)
A066683-A055038: 0 1 2 2 3 3 4 5 5 5 6 7 8 8 8 8
(((((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) div 2) + x) + 1) div 2)
A132919: 1 1 2 2 3 4 3 4 5 6 5 6 7 8 9 8
((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2)
A334739-A069023: 0 0 0 0 0 1 0 1 0 1 0 3 0 1 1 2
((((x mod ((((x div (2 + 2)) mod 2) + 2) * (2 + 1))) + 1) mod (x + 1)) div 2)
A237769: 0 0 0 0 0 0 0 0 1 2 2 3 2 2 3 3
((((((((x div 2) + 2) + 2) * ((x - 1) div 2)) div 2) - 1) mod (x + 1)) div 2)
A229878: 0 0 1 0 1 2
A278164: 0 0 1 0 1 2 3 0 1 2 3 4 5 0 1 2
((((((x div 2) mod (2 - (x div ((0 - 2) - 2)))) * 2) + 1) mod (x + 1)) div 2)
A234580: 0 0 0 1 0 2 0 3 0 4 0 0 1 0 1 1
(x div (((1 - ((((x + 2) * x) + 1) div ((2 + 2) + 1))) mod (x + 1)) + 2))
A229878: 0 0 1 0 1 2
A067586: 0 0 1 0 1 2 0 1 1 3 0 1 1 2 4 0
(((x - (2 - ((((2 + 2) * 2) * (x + 1)) * (2 + 1)))) * (x + 1)) div 2)
A178572: 11 47 108 194 305 441 602 788 999 1235 1496 1782 2093 2429 2790 3176
(((1 - (x mod (2 - ((x - 2) mod (((x mod 2) - x) - 1))))) div (x + 1)) + 2)
A065310: 3 2 2 1 1 2 2 1 1 2 2 1 1 2 1 1
(((2 - (x mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 2))) div (x + 1)) + 2)
A137239: 4 2 2 2 2 2 2 1 2 2 2 1 2 2 1 2
(x div ((((((((x mod 2) + x) div (2 + 1)) * 2) + 1) * 2) mod (x + 1)) + 2))
A282870: 0 0 0 0 1 0 1 1 2 1 2 1 1 2 2 1
(((((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)) + 2) * (x + 1)) div 2)
A095311: 1 47 138 274 455 681 952 1268 1629 2035 2486 2982 3523 4109 4740 5416
(compr(\x.(1 - (x mod (((((x div 2) - 1) mod (2 + 2)) + 1) * 2))),(x + 1)) + 2)
A343064-A106505: 5 7 9 11 13 15 16 17 19 21 23 24 25 27 29 31
((((((((x + 2) * x) div 2) + 1) * ((2 + 2) + 1)) div 2) * (x + 1)) div 2)
A236364: 1 5 18 40 80 135 217 320 459 625 836 1080 1378 1715 2115 2560
(((((((((2 + 2) * 2) + x) * (x + 2)) div 2) + 1) div 2) * (x + 1)) div 2)
A003452: 2 7 15 28 45 69 98 136 180 235 297 372 455 553 660 784
(compr(\x.(1 - (x mod ((((x div 2) mod (2 + 1)) * (2 + 1)) + 2))),(x + 1)) * 2)
A069148: 4 6 8 10 14 16 18 20 22 26 28 34 38 42 44 46
(((((x div (((x div (2 + 2)) mod 2) - 2)) mod (2 + 1)) + 2) mod (x + 1)) div 2)
A306615: 0 0 0 1 2 1 1 2 2 1 1 1 1 2 1 1
(((((((((x + 2) + 2) + 2) * x) + 2) * (2 + 1)) + 2) * (x + 1)) div 2)
A192025: 4 29 84 178 320 519 784 1124 1548 2065 2684 3414 4264 5243 6360 7624
((((((((2 + 2) * (x + 1)) - 1) * x) * (2 + 1)) + 2) * (x + 1)) div 2)
A214092: 1 23 102 274 575 1041 1708 2612 3789 5275 7106 9318 11947 15029 18600 22696
(compr(\x.(1 - (x mod ((((2 - x) * 2) mod ((x div 2) + 1)) + 2))),(x + 1)) - 2)
A101358: 1 3 5 6 8 9 11 13 14 15 16 17 19 20 21 22
((((((((2 + 1) * x) + 2) * (x + 2)) * (x + 1)) div 2) * (x + 1)) div 2)
A126274: 1 15 72 220 525 1071 1960 3312 5265 7975 11616 16380 22477 30135 39600 51136
((((((((x + 2) * x) + 2) * (x + 2)) * (x + 1)) div 2) * (x + 1)) div 2)
A328994: 1 15 90 340 975 2331 4900 9360 16605 27775 44286 67860 100555 144795 203400 279616
((((((((2 - x) + 2) * (x + 1)) + x) * (x + 1)) div 2) * (x + 1)) div 2)
A179298: 1 7 18 28 25 ~9 ~98 ~272 ~567 ~1025 ~1694 ~2628 ~3887 ~5537 ~7650 ~10304
(compr(\x.(1 - ((x - (2 + 2)) mod (2 - (x div ((0 - 2) - 2))))),(x + 1)) * 2)
A295076-A088829: 6 10 12 14 20 22 24 26 28 30 34 38 40 42 44 46
((((((((((x * x) + 2) * x) div 2) - 1) div 2) + 2) + 2) * (x + 1)) div 2)
A076859: 1 4 9 22 52
((((2 + 1) * 2) * (2 + 1)) div (((((2 + 2) * 2) * 2) div (x + 1)) + 2))
A226142: 1 1 2 3 3 4 4
A086333: 1 1 2 3 3 4 4 4 6 6 6 6 6 6 6 6
(x div (((2 - (x mod (1 - (((x div (2 + 2)) + 2) + 2)))) mod (x + 1)) + 2))
A070099: 0 0 1 0 1 0 1 1 1 1 2 1 3 1 1 2
(((((((x + 2) * 2) + 1) * (x + 2)) + ((2 + 2) * 2)) * (x + 1)) div 2)
A162263: 9 29 66 126 215 339 504 716 981 1305 1694 2154 2691 3311 4020 4824
(compr(\x.((((x * x) - 2) mod ((((2 + 2) * 2) + x) + 2)) mod 2),(x + 1)) + 2)
A007378: 3 4 6 7 8 10 12 13 14 15 16 18 20 22 24 25
((((((((x + 1) * x) * (2 + 1)) + 2) * (x + 2)) div 2) * (x + 1)) div 2)
A213818: 1 12 60 190 465 966 1792 3060 4905 7480 10956 15522 21385 28770 37920 49096
(((((((x mod ((2 + 1) * 2)) * x) + 2) div (x + 2)) mod 2) * (x + 1)) * 2)
A121206: 2 4 6 0 10 12 0 16 18 0 22 0 0 28 30 0
((((((x mod ((x div (2 + 2)) + 1)) div 2) + (x mod 2)) * 2) mod (x + 1)) + 2)
A161841: 2 2 2 4 2 4 2 4 4 4 2 6 2 4 4 6
(((((((((x * x) + 2) * x) * 2) div (2 + 1)) + x) + 2) * (x + 1)) div 2)
A081492: 1 5 18 54 135 291 560 988 1629 2545 3806 5490 7683 10479 13980 18296
((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 2)) * (x + 1)) div 2)
A027469: 49 147 294 490 735 1029 1372 1764 2205 2695 3234 3822 4459 5145 5880 6664
(((((((x + 2) * 2) * ((x * 2) + 1)) + 1) * (x + 2)) * (x + 1)) div 2)
A076455: 5 57 246 710 1635 3255 5852 9756 15345 23045 33330 46722 63791 85155 111480 143480
((((((((x + 2) + 2) * 2) * (x + 1)) + 1) * (x + 2)) * (x + 1)) div 2)
A269410: 9 63 222 570 1215 2289 3948 6372 9765 14355 20394 28158 37947 50085 64920 82824
(((((((x + 2) * x) * ((x + 2) * 2)) + 1) * (x + 2)) * (x + 1)) div 2)
A076459: 1 57 390 1510 4335 10311 21532 40860 72045 119845 190146 290082 428155 614355 860280 1179256
((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) + (((x + 2) * (x + 1)) div 2))
A194153-A025737: 1 3 6 10 15 21 28 36 46 57 69 82 96 111 127 144
((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) + (((x + 2) * (x + 1)) div 2))
A025746: 1 3 6 10 15 21 28 36 45 55 67 80 94 109 125 142
((((((x div ((x mod (2 + 2)) + 1)) + 2) * 2) + (x mod 2)) * (x + 1)) div 2)
A073825: 2 5 6 10 30
((((((x * x) + 1) * x) + 2) div (((2 + 1) * 2) + 1)) + ((x + 1) * 2))
A193840: 2 4 7 12 20 30 46
((((x * x) + (x div 2)) div ((((2 + 2) * 2) * 2) - 1)) + ((x + 1) * 2))
A027919: 2 4 6 8 11 13 16 19 22 25 29 32 36 39 43 47
((((1 - (((x div 2) + x) div (2 + 2))) mod (2 + 2)) - 1) + ((x + 1) * 2))
A307830: 2 4 6 7 9 11 16 18 19
(((x - ((((x div 2) + 1) div (2 + 1)) * 2)) div (2 + 1)) + ((x + 1) * 2))
A187225: 2 4 6 9 10 13 15 17 20 22 24 26 28 31 33 35
((((x - (x div (((2 + 2) * 2) + 1))) * (2 + 1)) div 2) + ((x + 1) * 2))
A189461: 2 5 9 12 16 19 23 26 30 32 35 39 42 46 49 53
((((((x * x) div (2 + 2)) + x) + (x div (2 + 1))) div 2) + ((x + 1) * 2))
A211372: 2 4 7 11 14 18 22 26 31 36
((((x * 2) + 1) div ((((x div 2) div (2 + 1)) + 2) + 2)) + ((x + 1) * 2))
A330085: 2 4 7 9 12 14 16 19 21 23 26 28 30 32 34 37
(((((x * x) div (2 + 2)) - (((x + 1) div 2) div 2)) div 2) + ((x + 1) * 2))
A060655: 2 4 6 8 11 14 18 21 25 29 33 37
(((((((x * 2) - 1) div ((x div 2) + 2)) mod 2) + x) div 2) + ((x + 1) * 2))
A285968: 2 4 7 10 12 14 17 19 22 24 27 30 32 35 37 40
(((((x * x) div (((2 + 2) * 2) + (x div 2))) + x) div 2) + ((x + 1) * 2))
A276209: 2 4 7 10 12 15 18 21 24 27 30 34 37 40 43 47
((((((x + 2) mod ((2 + 2) + 1)) * 2) div (2 + 1)) + x) + ((x + 1) * 2))
A190677-A188091: 3 7 10 11 14 18 22 25 26 29 33 37 40 41 44 48
((((x - (((2 - x) div 2) div ((2 + 2) + 1))) div 2) + x) + ((x + 1) * 2))
A247986: 2 5 9 13 16 20 23 27 30 34 37 41 44 48 52 55
(((((x - (2 + 2)) mod ((x div (2 + 1)) + 2)) mod 2) + x) + ((x + 1) * 2))
A189666: 2 6 8 11 14 18 20 24 26 29 33 35 38 42 44 47
(((((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2) + x) + ((x + 1) * 2))
A285953: 3 5 8 12 14 18 21 23 26 30 33 35 39 41 44 48
((((2 + 2) mod (((x + 2) div ((2 + 2) + 1)) + 1)) + 1) + ((x + 1) div 2))
A079685: 1 2 2 3 3 4 4 5 6
A137222-A077641: 1 2 2 3 3 4 4 5 6 7 7 8 8 8 8 9
((2 - (x - (((x mod 2) + (x * 2)) * ((2 + 2) + 1)))) * ((x + 1) div 2))
A219395: 0 16 20 68 76 156 168 280 296 440 460 636 660 868 896 1136
((1 - ((x mod ((x mod ((x div (2 + 1)) + 1)) + 1)) div 2)) + ((x + 1) div 2))
A341721: 1 2 2 3 3 4 4 5 4 6 6 6 7 8 6 8
(((x - ((x div (((2 - (x mod 2)) + 2) + 2)) - 1)) * 2) + ((x + 1) div 2))
A188016: 2 5 7 10 12 13 15 18 20 23 25 26 28 31 33 34
(((x - ((((x mod 2) + x) - 1) div ((2 + 2) + 1))) * 2) + ((x + 1) div 2))
A295085: 2 3 5 8 10 11 13 16 18 21 23 24 26 29 31 32
((x - ((((((2 - x) div 2) * (2 + 1)) div 2) div 2) mod 2)) + ((x + 1) div 2))
A155941: 0 2 3 4 5 8 9 10 11 13 14 17 18 19 20 23
(((x - ((((x * x) * 2) mod ((x div 2) + 2)) mod 2)) + 2) + ((x + 1) div 2))
A078934: 2 4 5 7 8 10 11 12 14 16 17 19 20 22 22 25
((((((x mod 2) + (x * 2)) * (2 + 1)) + (x div 2)) + 2) * ((x + 1) div 2))
A219389: 0 11 15 48 56 111 123 200 216 315 335 456 480 623 651 816
((2 - ((2 - ((x * 2) mod ((x div 2) + 2))) div (x + 2))) + ((x + 1) div 2))
A196179: 1 3 3 4 4 5 5 7 7 7 8 8 8 9 9 11
(((((((((2 + 1) * x) + 2) * 2) * 2) * (x + 1)) + x) * (x + 1)) div 2)
A213823: 4 41 147 358 710 1239 1981 2972 4248 5845 7799 10146 12922 16163 19905 24184
(((((x - ((1 - (x * 2)) * 2)) * ((2 + 2) + 1)) - 1) * (x - 1)) + 2)
A154355: 13 2 41 130 269 458 697 986 1325 1714 2153 2642 3181 3770 4409 5098
(((x * x) div ((((((2 + 2) * 2) * 2) * 2) * 2) + 1)) + ((x - 1) * 2))
A058210: ~2 0 2 4 6 8 10 12 14 17 19 21 24 26 29 31
((((((x - (x div (0 - 2))) * 2) + 1) * 2) * (2 + 1)) + ((x - 1) div 2))
A169610: 5 30 42 67 79 104 116 141 153 178 190 215 227 252 264 289
(((2 + 2) * (x + 1)) - ((((x * 2) mod ((x div 2) + 2)) div (0 - 2)) mod 2))
A317331: 4 8 11 16 20 23 27 32 36 40 43 47 52 55 59 64
(((x div ((2 + 2) * 2)) + 2) - ((2 - x) div (2 - (x div ((0 - 2) - 2)))))
A071860: 1 2 2 3 3 3 3 4 5 5 5 5 5 5 5 6
((((((x - 1) mod ((x div 2) + 2)) div 2) mod 2) + 1) + ((x div (0 - 2)) mod 2))
A273915-A273429-A270969: 1 2 2 2 2 2 2 1 1 3 3 2 2 2 2 1
(((((x * x) + 1) mod (((x * 2) mod ((x div (2 + 1)) + 1)) + 1)) + 2) * 2)
A049109: 4 4 4 4 4 4 4 8 6 6 4 8 4 4 6 4
(((x - (((x div (1 - ((2 + 2) * 2))) * ((2 + 2) + 1)) - 1)) div 2) div 2)
A200245: 0 1 2 2 2 2 3 3 4 5 5 5 5 6 6 7
(((1 - ((x + 1) mod ((((1 - x) * 2) * ((2 + 2) + 1)) - 1))) * 2) * 2)
A167632: 0 4 36 72 108 144 180 216 252 288 324 360 396 432 468 504
(x - ((((x div ((2 + 2) + 1)) div ((x mod ((2 + 2) + 1)) + 1)) * 2) * 2))
A319653: 0 1 2 3 4 1 6 7 8 9 2 7 12 13 14 3
((((((((2 + 2) * 2) + x) + 2) * (((x + 2) + 2) + 1)) - 1) * 2) * 2)
A224667: 196 260 332 412 500 596 700 812 932 1060 1196 1340 1492 1652 1820 1996
(x div (((((x - 2) mod (((x * 2) div ((x div 2) + 2)) + 1)) + 1) * 2) + 2))
A219923: 0 0 0 0 0 1 1 0 2 0 1 1 1 1 3 2
((((x * x) * x) * (x * x)) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2))
A070627: 0 1 32 23 12 1 32 43 32 1 32 11 12 21 12 23
(x - ((0 - (x mod (x - ((x mod (((2 + 2) * (2 + 1)) - 1)) + 2)))) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A030477: 0 1 2 3 4 5 6 7 8 9 10 12 14 15 17 18
((((((((x div 2) div (2 + 1)) + x) * (2 + 2)) div (2 + 1)) + 1) * 2) * 2)
A133466: 4 8 12 20 24 28 40 44 52 56 60 68 76 84 88 92
(x mod (((x div (2 + 2)) - (((x * 2) div ((x div (2 + 1)) + 1)) mod 2)) + 2))
A242062: 0 1 0 0 1 1 0 1 2 1 1 2 2 1 2 3
((((x + 1) mod (((((x mod (2 + 1)) + 1) * 2) mod (x + 1)) + 1)) div 2) * 2)
A179011: 0 0 0 0 0 0 0 2 2 0 0 4 0 4 0 0
((((((x div 2) div ((x mod (((x div 2) + 2) + 2)) + 1)) mod 2) + 1) * 2) * 2)
A105682: 4 4 4 4 4 4 4 8 4 4 4 8 4 8 8 8
(((x mod ((((x div 2) - ((x mod 2) * 2)) mod ((2 + 1) * 2)) + 1)) div 2) + 2)
A160493: 2 2 2 3 2 2 3 2 3 2 4 3 2 3 2 3
((2 + 1) - (x - (((((x - 1) * 2) div (((2 + 1) * 2) + 1)) * 2) * 2)))
A194514: ~1 2 1 0 ~1 2 1 0 3 2 1 0 3 2 1 4
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A070651: 0 1 8 1 8 1 8 21 8 1 8 1 8 1 0 1
(((((((x div 2) + x) div (2 + 2)) * x) div (((2 + 1) * 2) + 1)) + 2) div 2)
A084827: 1 1 1 1 1 1 1 2 2 2 3 4 4 4 6 6
(x mod ((2 - ((x + 1) mod (1 - ((x mod (((2 + 1) * 2) + 1)) * 2)))) div 2))
A089313: 0 0 0 0 0 1 0 0 0 1 1 1 0 3 0 0
(2 - ((x mod 2) - ((((((x div (2 + 1)) * (x + 1)) div 2) - 1) div 2) div 2)))
A029139: 1 0 1 1 2 1 3 2 4 4 5 5 8 7 9 10
(x - ((((((((x div 2) + 1) div 2) * ((x - 1) div 2)) div 2) + 1) div 2) * 2))
A165482: 0 1 2 3 4 3 4 3 4 5 4 3 4 3 2 1
(((((x * 2) + 1) mod ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) div 2) + 2)
A076050: 2 3 2 3 4 2 3 2 3 4 2 3 4 5 2 3
((((x mod ((((x + 2) mod (((x mod 2) + 2) * 2)) + 2) * 2)) + 1) div 2) div 2)
A277142: 0 0 0 1 1 1 0 2 0 2 0 1 1 1 0 0
((x div ((x div ((x mod ((((1 - x) mod (2 + 2)) + 2) * 2)) + 1)) + 2)) div 2)
A303206: 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 2
(1 - (((x - ((((x + 2) * x) * 2) div (((2 + 2) * 2) + 1))) div 2) div 2))
A036016: 1 1 1 1 2 2 2 3 4 5 5 6 8 9 10 12
((((x mod ((2 + 2) + 1)) div ((((x - 1) div 2) mod (2 + 2)) + 1)) + 2) div 2)
A165022: 1 1 2 1 2 1 1 1 1 3 1 1 1 1 1 1
((((x - (x div (((2 + 2) * (0 - 2)) - 1))) * ((2 + 2) + 1)) + 2) * 2)
A166727: 4 24 34 44 54 64 74 84 94 104 124 134 144 154 164 174
(x - ((2 - (x - ((x - ((1 - (x div 2)) mod ((2 + 2) + 1))) div 2))) div 2))
A039190: 0 1 2 3 5 7 8 9 10 11 12 13 14 16 18 19
(((x mod 2) - ((x - (((x div (2 + 2)) + x) * ((2 + 2) + 1))) div 2)) + 2)
A104857: 2 5 6 9 13 16 17 20 23 26 27 30 34 37 38 41
((x + 1) div ((x div (((x - (2 + 2)) mod ((x div (2 + 2)) + 1)) + 2)) + 2))
A319695: 0 1 1 1 1 2 1 2 2 2 1 2 1 2 3 3
(((((x * 2) + 1) * 2) * 2) - ((((x - (x div (2 + 2))) + 1) div 2) div 2))
A285526: 4 12 20 27 35 43 51 59 67 74 82 90 98 106 113 121
((x - ((x + 1) mod (x - (2 - ((x mod ((x mod (2 + 2)) + 1)) div 2))))) div 2)
A161228: 0 0 1 1 1 2 1 2 2 3 3 4 4 5 6 6
((((x - (((x - 2) * x) div (((x + 1) * 2) + 1))) * (2 + 1)) div 2) div 2)
A194819: 0 1 1 2 3 3 3 3 4 4 5 6 6 6 6 7
(((((x * x) div (2 + 2)) mod (((x div (2 + 2)) + 1) * (2 + 1))) div 2) div 2)
A112762: 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 2
(2 - ((x + 2) div ((((x div (((x mod 2) + 2) + 1)) * (2 + 1)) div 2) + 2)))
A112208: 1 1 0 0 0 0 1 ~1 0 0 0 0 1 0 0 0
(x - (((x - ((((2 - x) div 2) + (x mod (2 + 1))) div (2 + 1))) div 2) * 2))
A277889: 0 1 0 ~1 0 1 0 ~1 0 ~1 0 ~1 ~2 ~1 ~2 ~3
((((((x * x) div (((2 + 2) * 2) * (2 + 1))) + 2) * (2 + 1)) div 2) div 2)
A262950-A029094: 1 1 1 1 1 2 2 3 3 3 4 5 6 6 7 8
(((((((x * x) - 1) * x) * (((2 + 2) * 2) * 2)) div (2 + 1)) * 2) * 2)
A123293: 0 0 128 512 1280 2560 4480 7168 10752 15360 21120 28160
(2 div ((((x - ((x * x) mod (((2 + 2) * 2) * 2))) div (2 + 1)) div 2) + 2))
A333058: 1 1 2 2 1 2 1 0 0 0 0 1 0 1 0 0
((x * 2) - ((((x - (((x - 1) * x) div (2 + 2))) * (2 + 1)) div 2) div 2))
A226330: 0 2 3 5 8 10 13 17 21 25 29 34 40 46 52 58
(x - ((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) * 2))
A075425: 0 1 2 1 2 3 4 1 2 3 4 3 4 5 6 1
((((x * x) div 2) div (((((2 + 2) * 2) - (x div 2)) * (2 + 1)) + 2)) div 2)
A326447: 0 0 0 0 0 0 0 0 1 1 2 2 4 5 9 11
((x - ((((x - 2) * x) - ((((x * x) * x) div 2) div (2 + 1))) div 2)) * 2)
A289424: 0 4 6 8 10 16 24 36
(x - ((x mod 2) - ((x mod ((((x div 2) + 1) div 2) + ((2 + 1) * 2))) mod 2)))
A103303: 0 1 2 3 4 5 6 7 8 9
A335133: 0 1 2 3 4 5 6 7 8 9 11 10 13 12 14 15
((((x * 2) - 1) mod (((x * 2) div (2 - ((1 - x) div (2 + 1)))) + 2)) div 2)
A035445: 0 0 0 0 1 0 0 1 0 1 0 0 2 0 1 2
(((((x div 2) div (0 - ((x mod (2 + 2)) + 1))) + (x div (2 + 1))) div 2) + 2)
A156051: 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 3
(((((((((x + 2) + 2) * ((x + 2) + 2)) + 1) - x) * 2) + 1) * 2) * 2)
A276026: 140 204 284 380 492 620 764 924 1100 1292 1500 1724 1964 2220 2492 2780
((((((((x * x) * x) div (((2 + 2) * 2) * 2)) + x) div 2) + 1) div 2) div 2)
A059290: 0 0 0 0 1 1 2 3 5 7 9 12 15 19 23 28
(((((((((x + 2) + 2) * 2) * 2) + (x + 1)) * (x + 2)) - 1) * 2) * 2)
A253503: 132 260 428 636 884 1172 1500 1868 2276 2724 3212 3740 4308 4916 5564 6252
(((x - (((((x * x) div (2 + 1)) - x) * 2) div ((x + 2) + 1))) + 2) + 2)
A000703: 4 6 7 7 8 9 9 10 10 10 11 11 12 12 12 13
((((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) * ((x div 2) + 1)) div 2) div 2)
A130632: 0 0 0 0 1 1 1 0 0 1 3 3 1 0 0 2
((2 - (x mod (0 - ((((x - 2) * (2 + 1)) mod ((x div 2) + 1)) + 2)))) div 2)
A319989: 1 1 1 1 1 1 1 2 2 1 1 3 1 1 3 2
((((((2 - (x mod ((0 - 2) - 1))) + 2) * 2) mod ((x div 2) + 1)) + 2) div 2)
A345063: 1 1 1 1 1 1 1 1 1 2 1 3 1 3 2 1
((((((x - 1) div ((x div (2 + 2)) + 2)) * 2) mod ((x div 2) + 1)) div 2) + 2)
A092363: 2 2 2 2 3 3 3 2 3 4 4 4 4 4 4 4
(1 - (((((((x div (2 + 2)) + 2) + 2) - x) mod ((x div 2) + 1)) mod 2) * 2))
A121241: 1 1 1 ~1 ~1 1 ~1 1 ~1 1 1 ~1 1 ~1 ~1 1
(((((((((x + 1) div (2 + 1)) * (x div 2)) + x) div 2) + x) + 1) div 2) + 2)
A121603: 2 3 4 5 6 7 8 9 11
A091897: 2 3 4 5 6 7 8 9 11 12 13 15 17 18 21 22
(x mod ((((((x mod ((2 + 1) * 2)) mod (2 + 2)) - 1) mod (x + 1)) + 2) * 2))
A330342: 0 1 2 3 4 1 6 3 2 1 10 3 12 1 2 7
((((2 - (x mod (((2 + 1) * 2) + (x mod (2 + 1))))) mod (x + 1)) div 2) div 2)
A223175: 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 3
((x mod (((((x mod (2 + 2)) + 1) * ((x mod 2) + 1)) mod (x + 1)) + 2)) div 2)
A054015: 0 0 0 0 0 2 0 0 1 1 0 0 0 0 2 2
((((2 - ((((x div 2) - 1) * (x div (2 + 1))) div 2)) mod (x + 1)) div 2) div 2)
A324496: 0 0 0 0 0 0 0 0 2 2 1 2 1 1 1 0
((((((x - (x mod (((x mod 2) + 2) + 1))) * 2) * 2) mod (x + 1)) div 2) div 2)
A281497: 0 0 0 0 0 1 0 0 1 0 0 2 2 1 0 0
((((((x mod ((2 + 2) + 1)) + (x mod (2 + 2))) - 2) mod (x + 1)) + 2) div 2)
A171712: 1 1 2 1 2 3 1 2 1 2 1 2 1 2 3 1
((x - (((((2 - ((x div (2 + 1)) + x)) * 2) * 2) mod (x + 1)) div 2)) div 2)
A330918: 0 0 1 1 1 2 2 2 3 4 5 5 4 4 4 5
(((((((1 - (x * 2)) mod ((2 + 2) + 1)) + x) + 2) * (x + 1)) div 2) + 2)
A059868: 3 9 11 12 24
((((((x - (((x div 2) mod 2) * 2)) * 2) + (x + 2)) * (x + 1)) div 2) div 2)
A268539: 0 2 3 7 17 25 28 38 58 72 77 93 123 143 150 172
(((((x * 2) - ((x div (0 - 2)) * (2 + 1))) + 1) * ((x + 1) div 2)) div 2)
A057570: 0 3 4 13 15 30 33 54 58 85 90 123 129 168 175 220
(((((x div ((((x mod 2) + 2) * 2) * 2)) + x) + 1) * ((x + 1) div 2)) div 2)
A308578: 0 1 1 4 5 9 10 16 20 25 30 36
(((((((2 + 2) * 2) * 2) + 1) * 2) * (x + 1)) + (((x + 1) div 2) div 2))
A277113: 34 68 102 137 171 205 239 274 308 342 376 411 445 479 513 548
((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * 2) + (((x + 1) div 2) div 2))
A082871: 0 0 0 1 1 1 1 2 4
A132345: 0 0 0 1 1 1 1 2 4 4 4 5 5 5 5 8
((((x * 2) * 2) - ((((x - 1) div 2) div 2) div 2)) + (((x + 1) div 2) div 2))
A058759: 1 4 8 13
A311815: 1 4 8 13 17 21 25 30 34 37 41 46 50 54 58 63
(((((x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1)) + 1) * 2) * 2) * 2)
A245401: 8 8 8 8 8 8 8 8 16 16 16 16 24 24 32 32
(((x - (((((x * x) div (2 + 2)) div ((2 + 2) + 1)) + 1) div 2)) + 2) + 2)
A248355: 4 5 6 7 8 8 9 10 10 11 11 12 12 13 13 13
(((x + 2) * x) - (((((((x * x) div 2) * (2 + 1)) - 1) div 2) div 2) div 2))
A194149: 1 4 8 14 22 31 42 55 69 85 102 121 142 164 188 214
((((((x - 2) - (x div (2 + 1))) * ((x div (2 + 1)) + 1)) div 2) div 2) + 2)
A035397: 1 1 2 2 2 3 3 4 5 6 7 8 9 10 12 14
(x - (((x - (((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2)) div 2) * 2))
A037834: 0 1 0 1 2 1 0 1 2 3 2 1 2 1 0 1
(1 - (x - (((x - (x div (((x div ((0 - 2) - 2)) - 1) div 2))) div 2) * 2)))
A270434: 1 2 3 4 5 4 3 4 5 6 5 6 7 6 5 6
(((((((x div ((2 + 2) * 2)) + x) * ((2 + 2) * 2)) + 1) * 2) * 2) * 2)
A044576: 8 72 136 200 264 328 392 456 584 648 712 776 840 904 968 1032
((((((2 - (x mod 2)) * (x + 1)) + 2) mod (((2 + 2) + 1) * 2)) - 2) - 2)
A141035: 0 0 4 2 ~2 4 2 ~4 ~4 ~2 0 0 4 2 ~2 4
((((x - ((x - ((x - (x div (2 + 2))) mod 2)) div (2 + 1))) + 2) * 2) * 2)
A081925: 8 12 16 20 20 24 28 28 32 36 36 40 44 44 48 48
(((((x - ((((x - 1) mod (2 + 1)) + x) div 2)) * (2 + 1)) div 2) div 2) + 2)
A285582: 1 2 2 2 3 3 3 5 5 5 5 5 5 7 7 7
((x div (2 + 1)) - ((x div ((x mod (((1 - x) mod (2 + 1)) + 2)) + 2)) mod 2))
A249871: 0 0 0 0 1 0 1 2 2 3 2 3 4 4 3 4
(((x + 1) * (2 + 1)) - (((((((x + 1) * x) div 2) - 1) div 2) div 2) mod 2))
A285951: 2 6 9 11 15 17 20 24 27 29 32 36 38 42 45 47
(1 - (((((((2 + 2) * 2) * (2 + 1)) mod ((0 - x) - 1)) div 2) div 2) div 2))
A308964: 1 1 1 1 2 1 2 1 2 2 3 1 2 2 2 2
((1 - (((((((2 + 2) * 2) * 2) * 2) mod ((0 - x) - 1)) div 2) div 2)) div 2)
A206442: 0 0 1 0 1 1 1 0 1 1 1 1 1 2 2 0
((((((x - 1) mod ((((1 - x) mod (2 + 1)) * 2) + 1)) div 2) mod 2) * 2) * 2)
A036480: 4 0 0 4 0 0 4 0 4 4 0 0 4 0 4 4
(x - (((x - ((x mod (((2 - x) mod ((2 + 2) + 1)) + 2)) div 2)) div 2) * 2))
A228110: 0 1 0 1 2 1 0 1 2 3 2 1 0 1 2 1
(x - ((x * x) div (x - (((x div (((x mod (0 - 2)) - 2) - 2)) - 2) * 2))))
A331535: 0 1 2 2 3 3 4 4 4 5 5 6 6 6 7 6
(((((((((x * x) * x) + 1) * ((x * 2) - 1)) div 2) div 2) div 2) + 2) + 2)
A124082: 3 4 7 21 60
(1 - (((x - (((1 - x) * x) div ((((2 + 2) * 2) * 2) * 2))) mod 2) * 2))
A008836: 1 ~1 ~1 1 ~1 1 ~1 ~1 1 1 ~1 ~1 ~1 1 1 1
((x - ((0 - ((x - (((x div 2) + 1) mod ((2 + 2) * 2))) div 2)) div 2)) + 2)
A179439: 2 3 4 5 6 8 9 10 11 12 13 14 15 17 20 21
(((((x div 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * 2)))) div 2) div 2)
A051061: 0 0 0 0 0 0 0 0 1 1 1 2 3 4 7 9
(x - (((x - ((0 - (x mod (((2 - x) div (2 + 2)) - 2))) div 2)) div 2) * 2))
A272728: 0 1 0 1 2 1 0 1 0 1 2 3 2 1 0 1
((2 + 2) mod (((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2) + 2))
A272774-A147312-A136630: 1 0 1 0 0 1 0 1 0 1 0 0 4 0 1 0
((1 - ((1 - x) div ((2 - (((x - (x div (2 + 2))) div 2) mod 2)) + 2))) * 2)
A105678: 2 2 4 4 4 4 6 6 8 8 8 8 8 10 12
(((x + 1) div ((x div (((x * x) mod (((x mod 2) + 2) * 2)) + 2)) + 2)) + 2)
A177876: 2 3 3 4
A285203: 2 3 3 4 3 4 3 4 3 5 3 4 3 4 3 5
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * 2) * 2))
A271572: 0 1 0 11 0 13 0 23 0 25 0 3 0 5 0 15
(1 - ((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2))
A098593: 1 1 1 1 0 1 1 ~1 ~1 1 1 ~2 ~2 ~2 1 1
(((x div (2 + 1)) + 1) div (((x mod (((2 - x) div (2 + 2)) - 2)) mod 2) + 2))
A024317: 0 0 0 1 1 0 1 1 1 1 2 2 1 2 1 2
(2 - ((x mod 2) - (((((x - 1) * 2) mod ((x div (2 + 2)) + 2)) mod 2) * 2)))
A116933: 2 1 2 1 2 1 4 1 2 1 2 1 2 1 4 3
((x * 2) div (x - ((((2 - x) * x) mod (((x div (2 + 2)) + 2) + 2)) - 2)))
A244231: 0 1 1 1 2 1 1 1 1 2 2 2 3 2 1 1
((x + 1) div ((x div (((((2 - x) * 2) mod ((x div 2) + 2)) div 2) + 2)) + 2))
A095407: 0 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1
((x * 2) div (((x + 2) div ((x div ((0 - 2) - 2)) + ((2 + 2) * 2))) + 2))
A059572: 0 1 2 3 4 3 4 4 5 4 5 5 6 5 4 5
((((compr(\x.(1 - (x mod ((x mod ((2 + 1) * 2)) + 1))),x) + 2) + 2) + 2) * 2)
A241178: 14 16 18 20 22 26 28 30 34 38 40 42 44 46 50 52
(1 - (((x mod (2 + 1)) - (((((x - 1) div 2) * (x div 2)) div 2) div 2)) div 2))
A328796: 1 1 0 1 1 1 2 2 2 3 3 3 5 5 5 7
((1 - (((x * x) mod (((2 + 1) * 2) + 1)) mod (2 + 1))) mod ((2 + 2) * 2))
A002394: 1 0 0 7 7 0 0 1
((((x * 2) + 1) * (2 + 1)) - (((x + 1) * 2) div (1 - ((2 + 2) * 2))))
A246297: 4 10 16 23 29 35 41 48 54 60 67 73 79 85 92 98
((x * 2) - ((x div (((2 + 1) * 2) + 1)) - (x div (1 - ((2 + 2) * 2)))))
A191275: 0 1 3 5 7 9 11 12 13 15 17 19 21 23 24 25
(((((1 - x) * 2) div (((x div (2 + 1)) + 2) + 1)) + x) + ((2 + 2) * 2))
A320304: 8 9 9 10 10 11 12 12 13 14 15 15 16 17 18 19
(x - ((x mod (((x + 1) div ((2 + 2) + 1)) + 1)) + (x div ((2 + 2) * 2))))
A061984: 0 1 2 3 4 4 6 6 7 8 8 8 11 11 11 11
(((((x div (2 + 2)) + x) * (2 + 1)) + (x div 2)) - (x mod ((2 + 2) * 2)))
A062879: 0 2 5 7 13 15 18 20 34 36 39 41 47 49 52 54
(compr(\x.(x mod (x - ((x mod ((2 + 2) * 2)) - 1))),x) + (x mod ((2 + 2) * 2)))
A319808-A055956: 0 2 4 6 8 10 12 14 9 18 27 36 45 54 63 72
((((((x * x) - 1) * ((2 + 2) + 1)) + 1) * (x * x)) div ((2 + 2) * 2))
A212673: 0 0 8 46 152 378 792 1476 2528 4060 6200 9090 12888 17766 23912 31528
((((((((x mod 2) + 2) + 2) + 2) + 1) * x) * (x * x)) div ((2 + 2) * 2))
A309335: 0 1 7 27 56 125 189 343 448 729 875 1331 1512 2197 2401 3375
((x + 1) - ((((x + 1) div ((((2 + 2) * 2) * 2) - x)) div (2 + 2)) * 2))
A291579: 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 8
((((x mod ((2 - ((x div (2 + 2)) mod 2)) * 2)) + 1) + (x div (2 + 2))) div 2)
A326753: 0 1 1 2 1 1 1 1 1 2 2 3 2 2 2 2
(((2 - ((((x div 2) + 1) div ((x mod 2) + 2)) mod 2)) + (x div (2 + 2))) div 2)
A298604: 1 1 0 1 1 1 1 1 2 1 1 2 2 2 2 2
(((((((x * 2) div ((x div (2 + 2)) + 1)) mod (2 + 1)) + x) div 2) mod 2) + 2)
A080748: 2 3 3 3 2 3 3 2 3 2 3 2 2 2 3 2
(((x - ((((x - (x div (2 + 1))) mod ((2 + 2) * 2)) + x) div 2)) + 2) div 2)
A179932: 1 1 1 1 1 1 1 1 1 2 2 4 4 4 4 4
(((((((x * x) * (x - 1)) div (((x + 2) + 2) + 2)) + x) div 2) + 2) div 2)
A071764: 1 1 1 2 3 4 6 8 11 14 17 21 26 30 36 42
((((((x * x) div (2 + 2)) + ((x * 2) * (2 + 1))) div (x + 2)) + 2) * 2)
A235382: 4 8 10 12 12 14 14 16 16 16 18 18 18 20 20 20
(((((x + 1) * x) div 2) * (((x + 1) * 2) + 1)) + (((x * 2) * 2) * 2))
A163675: 0 13 37 78 142 235 363 532 748 1017 1345 1738 2202 2743 3367 4080
((((((((x + 1) * x) div 2) * ((2 + 2) + 1)) div 2) + (x div 2)) div 2) div 2)
A247179: 0 0 2 4 6 9 13 18 23 29 35 42 50 58 67 76
(((x - ((x * x) div (((((x + 2) + 2) + 1) * 2) - (x div 2)))) + 2) * 2)
A167146: 4 6 8 10 10 12 14 14 16 16 16 18 18 20 20 22
(((x - (((2 + 1) * x) div ((((2 + 2) * 2) * 2) - (x div 2)))) + 2) * 2)
A061408: 4 6 8 10 12 12 14 16 16 18 20 20 22 24 24 24
((((((((x div (2 + 1)) * 2) + x) + 1) mod (2 + 2)) + (x div 2)) div 2) div 2)
A114775: 0 0 1 0 1 0 1 0 1 1 1 1 1 2 2 2
(x - (((((((1 - x) mod (2 + 1)) + x) mod (2 + 2)) + (x div 2)) div 2) * 2))
A342872: 0 1 2 3 2 1 0 1 2 3 4 5 6 7 8 9
((((x * 2) mod ((x div (2 + 2)) + 1)) + 1) mod ((2 - ((x div 2) mod 2)) * 2))
A144409: 1 1 1 1 1 1 1 1 2 1 1 0 1 3 1 1
(x div ((((((x + 2) div ((x mod (2 + 1)) + 1)) mod 2) - (x mod 2)) + 2) + 2))
A306433: 0 0 0 0 0 1 1 2 1 2 2 3 3 3 2 3
(((((((((2 + 2) + 1) * x) + 1) * (x + 2)) div 2) + (x mod 2)) div 2) div 2)
A013927: 0 2 5 10 15 23 31 40
(((((x mod (((x mod 2) + 1) * 2)) * x) div ((2 + 2) + 1)) + 1) mod (2 + 2))
A101211: 1 1 1 2 1 2 1 1 1 2 1 3 1 3 1 2
((1 - ((1 - ((x + 1) mod (((2 + 1) * 2) + 1))) mod (x + 1))) mod (2 + 2))
A017861: 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 2
(((x * x) mod ((((2 + 2) * 2) + (x mod 2)) + 1)) + ((x + 1) mod (2 + 2)))
A331066: 1 3 7 9 8 7 3
(((x mod 2) - ((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)) mod (2 + 2))
A193525: 0 1 0 1 0 0 0 1 0 0 0 0 0 0 3 1
(((2 - (x div (((((2 + 2) + 1) * 2) mod (x + 1)) + 2))) div 2) mod (2 + 2))
A074063: 1 1 1 1 0 1 0 0 0 3 1 1 0 0 0 0
(((((x * x) div ((((2 - (x mod 2)) + 1) * 2) * 2)) + x) + 2) div (2 + 2))
A340285: 0 0 1 1 1 2 2 3 3 5 5 7 6 9 8 11
(((((((2 + 2) * 2) * 2) + x) * (((2 + 1) * x) + 1)) + x) - (2 + 2))
A304833: 12 65 124 189 260 337 420 509 604 705 812 925 1044 1169 1300 1437
(compr(\x.(2 - (((2 - x) * 2) mod (((x div (2 + 2)) + 2) + 2))),x) + (2 + 2))
A037084: 5 7 9 10 13 14 17 18 19 20 21 23 25 26 27 28
(((((((x * 2) * 2) * 2) + (x div (2 + 1))) div (x + 2)) + x) + (2 + 2))
A127958: 4 7 10 12 13 14 16 17 18 19 20 22 23 24 25 26
((x - (((2 - x) div (((x div (2 + 2)) + 2) + 1)) - 1)) + (x div (2 + 2)))
A202728: 1 2 3 5 7 8 9 11 13 14 15 16 18 19 20 22
(x - ((((((x div 2) * 2) div (2 + 1)) + 1) mod (2 + 1)) * (x div (2 + 2))))
A328841-A276008: 0 1 2 3 2 3 6 7 8 9 8 9 6 7 8 9
((((x div 2) div ((2 + 2) + 1)) + ((x + 1) * (2 + 1))) + (x div (2 + 2)))
A184906: 3 6 9 12 16 19 22 25 29 32 36 39 43 46 49 52
(((x div (2 - (((((x * 2) mod (2 + 1)) * 2) + 1) - x))) + x) div (2 + 2))
A331904: 0 0 1 0 2 1 1 2 2 2 2 3 3 3 3 3
(((((x div (((x + 2) div (((2 + 1) * 2) + 1)) + 1)) + 1) + x) div 2) + 2)
A195879: 2 3 4 5 6 6 7 7 8 9 10 10 10 11 11 12
((compr(\x.(x mod ((x mod (x - ((x mod ((2 + 2) * 2)) - 1))) + 1)),x) + 2) + 2)
A194283: 4 5 6 7 8 9 10 11 13 14 16 21
((((((((x - 1) div (2 + 1)) * ((x + 2) + 2)) div 2) + 1) + x) div 2) + 2)
A240115: 1 3 3 4 6 7 8 11 12 13 18 19 20 26 27 29
((compr(\x.((x + 1) mod ((((2 - x) mod ((x mod 2) + 2)) * 2) + 1)),x) + 2) + 2)
A137353: 4 6 8 9 10 12 13 14
A336371: 4 6 8 9 10 12 13 14 15 16 18 20 21 22 24 26
(x - ((((((((x - 1) div (2 + 1)) * x) + 1) div (2 + 1)) + x) div 2) div 2))
A048182: 0 1 2 3 3 4 4 4 5 6 5 6 6 6 6 7
(((((x + 2) + 2) * x) - (((x div ((2 + 2) * (2 + 1))) + x) div 2)) div 2)
A024390: 0 2 5 10 15 21 28 37 46 56 67 80 93 107 122 138
(((((x + 2) div (((2 + 2) * 2) - ((x - 2) div (2 + 1)))) + x) + 2) * 2)
A051756: 4 6 8 10 12 16 18 20
A322839-A074827: 4 6 8 10 12 16 18 20 22 24 28 30 32 36 40 42
((((((((x + 1) div ((x mod 2) + 2)) div 2) + x) div (2 + 1)) + x) + 2) + 2)
A089585: 4 5 6 8 9 11 12 13 15 16 18 19 21 22 23 24
(1 - (((x * x) - ((((((x * x) + 2) * x) div (2 + 1)) + x) * 2)) * 2))
A322597: 1 7 17 39 81 151 257 407 609 871 1201 1607 2097 2679 3361 4151
((x * x) - ((1 - (((((((2 + 1) * x) + 2) * 2) * 2) + x) * 2)) * 2))
A155461: 30 83 138 195 254 315 378 443 510 579 650 723 798 875 954 1035
((x - ((0 - (((((x * x) div (2 + 2)) + x) div (2 + 2)) + x)) div 2)) + 2)
A027921: 2 4 5 7 9 11 13 15 17 19 21 24 26 28 31 33
(((((((x + 2) * 2) + x) * (x + 1)) * (((x + 2) * 2) + x)) div 2) - 2)
A232495: 6 47 148 336 638 1081 1692 2498 3526 4803 6356 8212 10398 12941 15868 19206
((((((((x - ((x * x) div (2 + 2))) div 2) div 2) + x) div 2) + x) div 2) + 2)
A057062: 2 2 3 4 5 5 6 6 7 8 8 9 9 9 10 10
((((((((2 mod (x + 1)) - x) div 2) mod 2) + ((x * x) div 2)) + x) div 2) + 2)
A217123: 2 3 4 6 8 10 14 18 22 26 32 38 44 50 58 66
(((((x - (((x * x) * (1 - x)) div 2)) div (2 + 1)) + 1) * (x + 2)) div 2)
A004036: 1 1 4 12 30 66 132
(((x - ((((x div (2 + 1)) - ((2 + 1) * 2)) * 2) * 2)) div (x + 2)) * 2)
A033826: 24 16 12 8 8 6 4 4 4 2
((2 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (x + 2))) * 2)
A278481: 2 4 4 4 6 4 4 6 6 4 4 6 6 6 4 4
(((x - (((x - 2) * x) div (((2 + 1) * 2) + 1))) div 2) + ((x + 2) * 2))
A174724: 4 7 9 11 13 15 17 19 21 22 23 24 25 26 27 28
(((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + ((x + 2) * 2))
A078633: 4 7 10 12 15 17 20 22 24 27 29 31 34 36 38 40
((((x - ((1 - x) div ((x div (2 + 2)) + 2))) div 2) + x) + ((x + 2) * 2))
A247432: 4 7 11 15 18 22 26 29 33 36 40 44 47 51 54 58
((x - ((((x mod (((2 + 2) + 1) * 2)) * (2 + 1)) + x) div (x + 2))) div 2)
A123575: 0 0 0 0 1 1 1 2 2 3 5 5 5 6 6 7
((((((x + 2) div (2 + 1)) + (x div ((2 + 2) + 1))) div 2) + (x * 2)) * 2)
A045672: 0 4 8 12 18 22 26 32 36 40 46 50 54 58 62 68
(((((((x * x) + 2) div (x + 2)) * 2) div (2 + 1)) + 1) + ((x * 2) * 2))
A314886: 1 5 9 14 19 23 27 32 37 41 46 51 55 60 65 69
((((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2) + ((x * 2) * 2))
A272666: 0 5 11 16 23 28 34 39 47 52 58 63 70 75 81 86
(((((((2 - x) * 2) mod ((x div (2 + 1)) + 1)) mod 2) + x) + (x * 2)) + 2)
A184910: 2 5 8 11 14 17 21 23 26 29 32 35 38 42 45 47
((((((((x div 2) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + (x div 2)) + 2)
A085885: 2 2 3 3 5 5 7 7 8 8 11 11 13 13 14 14
(((((((x * x) + 2) mod ((2 + 1) * 2)) + (x * 2)) + 1) + (x div 2)) div 2)
A071047: 1 3 3 6 5 8 9 10 10 14 13 15 16 18 18 21
((((x - ((((x div 2) * 2) - 1) div ((2 + 2) + 1))) * 2) + (x div 2)) * 2)
A191330: 4 8 10 14 20 24 26 30 36 40 46 50 52 56 62 66
((((x mod (((2 + 2) mod ((x div 2) + 1)) + 1)) mod 2) + 1) + ((x div 2) mod 2))
A304094: 1 1 2 2 1 2 2 2 2 1 2 3 1 2 2 2
((((((((x + 1) div 2) + 1) mod ((2 + 2) + 1)) div 2) + 1) + (x mod 2)) div 2)
A194821: 0 1 1 1 1 2 1 1 0 1 0 1 1 1 1 2
((((x + 2) + 1) div ((((((x div 2) + 1) div 2) div 2) + 1) + (x mod 2))) div 2)
A300712-A282463: 1 1 2 1 3 2 2 1 2 2 3 2 3 2 2 2
(x - (((1 - ((x - (x div ((2 + 2) * 2))) mod (2 + 1))) + (x mod 2)) div 2))
A035044: 0 1 3 2 4 5 6 7 8 9 10 11 13 12 14 15
((2 + 2) - (1 - ((2 - x) div ((((x * 2) div (2 + 1)) + (x mod 2)) + 2))))
A073871: 4 3 3 2 2 2 2 2 2 2 2 2 2 2 1 2
(((((x + 2) mod (((x mod (2 + 2)) + 2) + 1)) div 2) + 1) mod ((x mod 2) + 2))
A036581: 0 2 1 0 1 2 0 2 1 2 0 1 0 2 1 0
(((((x mod (((2 + 1) * 2) + 1)) * (2 + 1)) + x) - 1) mod ((x mod 2) + 2))
A030351: 1 0 1 2 1 1 1 0 0 2 0 1 0 0 1 2
(((((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2) + 1) + ((x mod 2) * 2))
A301848: 1 3 1 4 1 3 2 4 1 3 1 4 2 3 2 4
(((((x div 2) - ((x div (2 + 2)) div (0 - 2))) mod 2) + 1) + ((x mod 2) * 2))
A089214: 1 3 2 4 2 4 1 3 2 4 1 3 1 3 2 4
(compr(\x.(x mod (((1 - x) mod ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1)),x) + 2)
A189716: 2 3 5 8 11 12 14 17 18 20 21 23 26 27 29 30
(compr(\x.(1 - (x mod (((x mod ((x mod (2 + 2)) + 1)) * (2 + 1)) + 1))),x) + 2)
A256455: 3 4 5 7 9 11 12 13 15 17 19 21 23 24 25 27
(compr(\x.((x - 1) mod (x - ((x + 1) mod (((2 + 2) * (2 + 1)) - 1)))),x) * 2)
A152966: 0 2 4 6 8 10 12 14 16 18 22 44 66 88 110 132
(compr(\x.(x mod (((x + 1) mod (((x div ((2 + 2) * 2)) + 1) * 2)) + 1)),x) + 2)
A229991: 2 3 4 5 6 7 8 9 10 11 13 14 17 19 20 22
(compr(\x.((x mod (((((2 + 2) + 1) * (x mod 2)) mod (x + 1)) + 2)) - 1),x) + 2)
A172121: 2 3 4 5 6 8 9 10 12 14 16 17 18 20 22 23
(((((x - (((x + 1) mod (((x div 2) + 2) + 2)) div 2)) div 2) + 1) + x) + 2)
A299114: 3 4 5 6 8 10
A055563: 3 4 5 6 8 10 12 13 15 16 17 19 20 21 23 24
((((((x div ((2 + 2) + 1)) + 1) * x) div (((2 + 2) * 2) + 1)) + x) + 2)
A153134: 2 3 4 5 6 8 9 10 11 13 15 16 18 19 20 23
(compr(\x.(2 - (((((x div 2) + x) div 2) * x) mod (((2 + 2) * 2) + 1))),x) - 2)
A093110: 0 1 2 3 4 5 6 8 9 12 13 14 15 17 18 21
(compr(\x.(1 - ((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1))),x) + 2)
A192607: 4 6 8 9 10 12 14 15 16 18 19 20 21 22 24 26
(((((((x + 2) * (x + 2)) * 2) * (2 + 1)) div ((2 + 2) + 1)) + x) div 2)
A086849: 2 5 10 16 23 31 41 52 64 77 91 106 123 141 160 180
(((((((x + 2) * 2) - (x div 2)) * (x + 2)) div ((2 + 2) + 1)) + x) + 2)
A000791: 3 6 9 14 18 23 28 36
((((((((x + 2) + 2) * 2) * 2) - (x div 2)) * ((2 + 2) + 1)) + x) - 2)
A295699: 78 99 115
(((((x * 2) div (2 + 1)) - (((x mod 2) + x) div ((2 + 2) + 1))) + x) + 2)
A156271: 2 3 5 7 8 9 11 12 14 15 16 18 20 21 23 24
((((1 - (x mod (((2 - x) div 2) - (x mod (2 + 1))))) mod (2 + 1)) + x) + 2)
A154660: 3 4 5 6 7 8
A260580: 3 4 5 6 7 8 9 11 10 12 13 14 15 17 16 18
((((((x * 2) - (((x div 2) - 1) div (2 + 1))) * 2) div (2 + 1)) + x) + 2)
A187836: 2 5 6 9 11 13 16 18 20 22 24 27 29 31 33 35
((((x * 2) * 2) * 2) - (((x div (((0 - 2) - 2) * (2 + 1))) - x) div 2))
A121282: 0 9 18 26 35 43 52 60 69 77 86 94 103 112 120 129
(compr(\x.((x + 2) - ((((x - (x div (2 + 2))) div 2) - 2) * (2 + 1))),x) + 2)
A345505: 57 60 63 65 66 68 69 71 72 73 74 75 76 77 78 79
((((x - (x mod (((x - 1) mod ((2 + 2) * 2)) - x))) div (2 + 1)) + x) * 2)
A195066: 0 2 4 8 10 12 16 18 20 24 32 34 36 38 40 42
((((((((x div (2 + 2)) * (x div 2)) div 2) * 2) + x) div (2 + 1)) + x) + 2)
A331819: 2 3 4 6 8 9 10 12 15 16 18 20 24 25 27 28
(x - (((((((((x * 2) * 2) - 1) * 2) * 2) - 1) * x) * (1 - x)) div 2))
A260260: 0 1 29 132 358 755 1371 2254 3452 5013 6985 9416 12354 15847 19943 24690
((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2) - x) - 1) * x) div 2)
A187845: 0 ~1 ~3 ~6 ~10 ~15 ~21 ~28 ~36 ~45 ~45 ~44 ~42 ~39 ~35 ~30
(compr(\x.(2 - ((x + 1) mod (((x * 2) mod (((2 + 2) * 2) + x)) + 1))),x) + 2)
A154660: 3 4 5 6 7 8
A096829: 3 4 5 6 7 8 9 12 14 15 18 19 20 21 22 23
(x - (((x mod (((2 + 2) * 2) + 1)) - (((2 + 2) * (x + 1)) + x)) * 2))
A052222: 8 17 26 35 44 53 62 71 80 107 116 125 134 143 152 161
(compr(\x.((x + 2) mod ((x mod (((x + 1) div ((2 + 2) + 1)) + 1)) + 2)),x) + 2)
A227197: 2 4 6 8 9 10 12 14 15 16 18 20 22 24 25 26
((((((((x + 1) div 2) div 2) + 1) * (((2 + 1) * 2) + 1)) div 2) + x) - 2)
A131959: 1 2 3 8
A283776: 1 2 3 8 9 10 11 15 16 17 18 23 24 25 26 30
((((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) div 2) + x) + 2)
A161188: 2 3 5 6 8 9 11 12 13 15 16 18 19 20 21 23
(compr(\x.(2 - (((x * 2) + 1) mod (((x + 1) div ((2 + 2) + 1)) + 2))),x) - 2)
A186348: 3 6 7 9 11 12 14 16 17 18 20 21 23 24 25 27
(x - ((((((x mod ((x div 2) + 1)) div 2) * ((2 + 2) + 1)) div 2) + x) div 2))
A103183: 0 1 1 2 2 2 2 3 3 2 3 3 4 3 4 4
(((((2 - ((x div (2 + 1)) div ((0 - 2) - 1))) * (2 + 1)) div 2) + x) + 2)
A191850: 5 6 7 9 10 11 12 13 14 15 16 17 20 21 22 23
((((((x * 2) div (((x div (2 + 1)) + 2) + 2)) * (2 + 1)) div 2) + x) + 2)
A341646-A317090-A109421-A094784-A089105-A085971-A065872-A052485-A028769-A007916: 2 3 5 6 7 10 11 12 13 14 15 17 18 19 20 21
(x - (((x mod (((((2 + 2) * 2) - (x div 2)) * (2 + 1)) - 2)) - x) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A125506: 0 1 2 3 4 5 6 7 8 9 14 15 18 19 21 23
((((((((x div 2) * (x - 2)) div (x + 1)) + x) * (2 + 1)) div 2) + x) div 2)
A158791: 0 1 2 3 5 7 8 9 11 12 14 16 18 19 21 22
(((((0 - (((x + 1) div 2) div (2 + 1))) * (x div (2 + 1))) div 2) + x) + 2)
A121604: 2 3 4 5 6 6 7 8 9
A195918: 2 3 4 5 6 6 7 8 9 9 10 10 10 11 12 12
((((((((x - 1) * x) div 2) + ((x * 2) * 2)) * (x - 1)) + 2) * x) * 2)
A265081: 0 4 44 192 544 1220
((((x - ((((x mod ((x div 2) + 2)) mod (2 + 2)) + 1) div 2)) div 2) + x) + 2)
A026433: 2 3 4 6 8 9 10 12 13 14 16 18 20 21 22 24
(((((((((x div 2) mod 2) + x) div (2 + 1)) * (2 + 1)) div 2) div 2) + x) + 2)
A152757: 2 3 4 5 6 7 9 10 11 13 14 16 17 18 19 20
((((((((((x * 2) - 1) div (2 + 1)) * x) div 2) + 1) div 2) * 2) + x) div 2)
A145809: 0 0 2 2 4 6 8 10 14 15 20 24
(((2 - (((((x mod 2) - ((x * 2) * 2)) * (x + 1)) div 2) div 2)) + x) div 2)
A290268: 1 2 5 8 13 18 25 31 41 49 61 71 85 97 113 126
((((((((x * 2) mod ((x div (2 + 2)) + 1)) mod 2) * 2) * 2) * 2) + x) * 2)
A264986: 0 2 4 6 8 10 12 14 32 18 20 38 24 26 28 30
(compr(\x.((x - (x div (0 - ((((x div (2 + 2)) mod 2) + 2) + 2)))) mod 2),x) + 2)
A077164: 2 3 5 7 8 10 11 13 15 17 18 19 21 22 23 25
(x - ((((((((2 - x) + 1) * (x div (2 + 1))) + x) div 2) div 2) + x) div 2))
A237119: 0 1 1 2 2 3 3 4 5 6 7 8 9 10 11 14
(((((((((x mod 2) + x) * 2) + 1) div ((2 + 2) + 1)) + x) * 2) + x) + 2)
A026364: 2 7 10 13 16 21 24 29 32 37 40 45 48 51 54 59
((((((((x * 2) div ((2 + 2) + 1)) * x) div (2 + 1)) + x) div 2) + x) div 2)
A220506: 0 0 1 2 3 4 5 6 8 9 10 11 13 15 16 18
(((((x div ((((x - 2) mod ((x div 2) + 2)) div 2) + 2)) + x) div 2) + x) + 2)
A062132: 2 3 5 7 8 10 11 14 16 17 19 20 22 23 25 26
((((((x mod 2) - 2) - 2) - 1) * ((x * 2) + 1)) mod (((x + 2) * x) + 2))
A145736: 1 3 5 6 7 30
(((((((x * x) div (2 + 2)) + ((x * 2) * 2)) * x) div (x + 2)) + x) div 2)
A002821: 0 1 3 5 8 11 15 19 23 27 32 36 42 47 52 58
(((((x div 2) div (((x mod ((2 + 2) * 2)) + 2) + 1)) + (x * 2)) + x) + 2)
A184905: 2 5 8 11 14 17 20 23 27 30 33 35 38 41 44 47
(((((x + 1) * x) div (((((2 + 2) + 1) * 2) * 2) - (x div 2))) + x) div 2)
A176615: 0 0 1 1 2 3 4 5 6 7 8 9 11 13 15 16
(compr(\x.((((x + 1) div ((x mod ((2 + 2) + 1)) + 1)) mod 2) - (x mod 2)),x) + 2)
A326980: 3 5 7 9 10 11 13 14 15 17 18 19 20 21 23 25
((((x + 1) div ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) mod (x + 2))
A199968: 0 0 2 3 2 4 2 3 2 3 2 5 2 3 2 3
((((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) * (x + 2))
A070935: 2 3 8 5 18 7 32 27 50 11 72 13 98 75 128 17
((((((x * x) + (x div 2)) div (((2 + 1) * 2) + 1)) * 2) - 1) mod (x + 2))
A194760: 1 2 3 1 3 5 1 4 7 1 5 9 13 4 9 14
((((((x mod ((((2 + 2) * 2) * 2) - 1)) div 2) + 2) * 2) + 1) mod (x + 2))
A139713: 1 2 3 2 3 2 3 2 3 2 3 2 3 2 3 5
(((((x * x) + 2) div (2 + 1)) + ((((x * 2) * 2) * 2) + 1)) div (x + 2))
A121857: 0 3 4 5 6 7 7 8 8 9 9 10 10 10 11 11
compr(\x.((((x mod (((2 + 2) + 1) * 2)) * 2) * 2) - (x div (2 + 1))),(x + 2))
A014368: 20 21 30 31 32 40 41 42 43 50 51 52 53 54 60 61
compr(\x.(((x mod ((((x + 2) * x) mod ((2 + 1) * 2)) + 2)) - 1) div 2),(x + 2))
A014661: 2 4 6 7 8 10 12 14 15 16 18 20 21 22 23 24
compr(\x.((x mod 2) - ((((x div 2) + 1) div ((x mod (2 + 1)) + 2)) mod 2)),(x + 2))
A062975: 3 4 6 7 8 10 11 12 14 16 18 19 20 21 22 23
compr(\x.((x mod 2) - (2 - (x mod (((x mod ((x mod 2) + 2)) + 2) + 2)))),(x + 2))
A336375: 2 4 6 8 9 10 12 14 16 18 20 21 22 24 25 26
(((x * 2) - (((((1 - x) * x) div (2 + 2)) + x) div (2 + 2))) + (x + 2))
A135677: 2 5 8 11 14 17 21 24 28 32 36 40 44 48 52 57
((((((((x * x) + 1) * (x div 2)) div 2) + x) div 2) + (x * 2)) + (x + 2))
A064513: 2 5 10 15 24 32 50
(((2 - (((x + 2) + 2) mod (((2 + 2) * (2 + 1)) + 1))) + x) mod (x + 2))
A265524: 0 1 2 3 4 5 6 7 8 0 11 11 11 11 11 11
((((x - 1) mod (((x * x) mod ((x div (2 + 2)) + 2)) + 1)) + 1) + (x * 2))
A306639: 1 3 5 7 10 11 13 15 17 19 21 23 26 29 30 31
((((x - ((x mod ((2 + 2) + 1)) mod (2 + 1))) div (2 + 1)) + 1) + (x * 2))
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A193714: 1 3 5 8 10 12 14 16 19 21 24 26 28 31 33 36
(((((((((x div 2) + 1) mod (2 + 1)) * x) + 1) div 2) mod 2) + 1) + (x * 2))
A285260: 1 4 5 8 9 11 14 15 17 20 21 23 25 28 29 32
((((((((x + 2) + 2) * x) div 2) div (2 + 1)) * 2) div (2 + 1)) + (x * 2))
A163516: 0 2 5 8 11 14 18 22 26 30 35 40 45 50 56 61
((((((x - 1) * x) div ((2 + 2) * 2)) + (x div (2 + 1))) div 2) + (x * 2))
A050502: 0 2 4 6 9 11 14 17 20 24 27 30 34 37 41 45
(((((((x * x) div (2 + 2)) - x) div 2) - (x div (2 + 1))) div 2) + (x * 2))
A278451: 0 1 3 5 7 9 11 14 17 19 22 25 28 31 34 37
((2 - (((((((x div 2) + 1) mod (2 + 1)) * x) + 1) div 2) mod 2)) + (x * 2))
A285259: 2 3 6 7 10 12 13 16 18 19 22 24 26 27 30 31
((((((2 - ((x div 2) div (2 + 1))) * (2 + 1)) div 2) + x) div 2) + (x * 2))
A231407: 1 4 6
A234373: 1 4 6 9 11 14 15 18 20 23
A189756: 1 4 6 9 11 14 15 18 20 23 25 28 30 32 35 37
((((1 - ((x + 1) mod (1 - ((2 + 2) * 2)))) div (2 + 1)) + x) + (x * 2))
A140398: 2 5 7 10 13 15 18 23 26 28 31 34 36 39 44 47
((((((((x + 1) * x) + 1) * (x + 2)) * 2) div (2 + 1)) + 1) - (x div 2))
A076857: 2 7 18 43 83
((((((x div (2 + 1)) + x) * (x + 1)) div 2) div ((2 + 2) + 1)) + (x div 2))
A227800: 0 0 1 2 4 5 8 10 13 16 19 21 26 29 34 39
(((((x * x) div (((x + 2) * 2) + 1)) + ((x * 2) * 2)) + 1) + (x div 2))
A313616: 1 5 10 14 20 24 30 34 40 44 50 54 59 64 69 74
(((x - (((((x div 2) - (x * 2)) * 2) - 1) * 2)) * (2 + 1)) - (x div 2))
A171141: 6 33 47 74 88 115 129 156 170 197 211 238 252 279 293 320
(((x * 2) - (((((2 - x) * (x div 2)) div 2) - 2) div (2 + 1))) - (x div 2))
A027440: 1 3 4 6 8 10 12
A092137: 1 3 4 6 8 10 12 15 17 20 23 26 29 32 36 39
((((((x div 2) - ((x div (2 + 2)) div (0 - 2))) mod 2) + x) + 1) + (x div 2))
A286727: 1 2 5 6 8 9 10 11 14 15 16 17 19 20 23 24
((((x * 2) mod (((x mod (((2 + 1) * 2) + 1)) * 2) - 1)) div 2) * (x div 2))
A194659: 0 0 0 0 0 0 0 0 0 0 0 0 18 12 0 0
(((1 - x) div ((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + (x div 2))
A308308: 0 0 0 0 1 1 2 1 3 2 4 2 5 4 6 4
((((x + 1) * 2) - ((x mod ((0 - 2) - (x div (2 + 1)))) mod 2)) + (x div 2))
A201363: 2 3 7
A328982: 2 3 7 9 12 13 17 18 22 23 27 29 32 33 37 39
(((x div (x - (((x - 1) div ((2 + 2) + 1)) * (2 + 1)))) + 1) - (x mod 2))
A066451: 1 1 2 1 2 1 3 1 2 1 2 2 3 1 2 1
(((((((x + 2) + 2) * 2) mod ((x div 2) + 1)) mod (2 + 1)) + 1) + (x mod 2))
A193335: 1 2 1 2 2 2 1 4 2 3 2 2 2 2 2 2
(((x - (x div (x - ((((x - 1) div 2) div 2) * (2 + 1))))) + 1) + (x mod 2))
A288774: 1 2 2 4 4 5 5 8 8 8 9 11 11
(((((((x + 2) * x) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1) * (x mod 2))
A339012: 0 1 0 2 0 2 0 1 0 3 0 3 0 1 0 3
((((((x * x) + 2) mod (((x + 1) div (2 + 1)) + 1)) mod 2) + 1) - (x mod 2))
A036475: 1 0 1 1 1 0 1 0 1 1 1 1 2 1 1 1
((((x - ((((x mod (2 + 2)) - x) div (2 + 1)) - 1)) * 2) + 1) + (x mod 2))
A285569: 3 6 7 10 15 18 19 22 25 28 29 32 35 38 39 42
(((x div (((x div 2) div ((((x div 2) mod 2) * 2) + 1)) + 2)) + 1) * (x mod 2))
A183063: 0 1 0 2 0 2 0 3 0 2 0 4 0 2 0 4
((((((((x - 1) div (2 + 1)) * (x div 2)) div 2) + 1) div 2) + 1) * (x mod 2))
A035376: 0 1 0 1 0 2 0 3 0 3 0 5 0 7 0 8
((1 - ((0 - ((x * x) div (2 + 2))) div (((2 + 1) * 2) + 1))) * (x mod 2))
A035455: 0 1 0 2 0 2 0 3 0 4 0 6 0 7 0 9
((((((((x + 1) div 2) mod (2 + 2)) * x) div (2 + 1)) mod 2) + 1) - (x mod 2))
A087116: 1 0 1 0 1 1 1 0 1 1 2 1 1 1 1 0
((((x mod (1 - (x div ((0 - 2) - (x mod (2 + 1)))))) mod 2) + 1) - (x mod 2))
A203949: 1 1 1 0 2 0 1 1 1 1 1 1 2 1 1 0
((((((((x div 2) - 2) * 2) mod ((x div 2) + 1)) div 2) * 2) + 1) + (x mod 2))
A080916: 1 2 1 2 1 2 3 4 5 6 1 2 1 2 3 4
((x * 2) div (((((2 + 2) * 2) - (x div 2)) * ((2 + 2) + 1)) - (x mod 2)))
A326634: 0 0 0 0 0 0 0 0 0 0 1 1 2 2 5 7
(((((x * x) div ((((2 + 2) * 2) * 2) + x)) + 1) mod (2 + 1)) * (x mod 2))
A208575: 0 1 0 1 0 2 0 0 0 1 0 2 0 0 0 2
(((x mod (((x + 1) mod ((x div ((x mod 2) + 2)) + 1)) + 1)) div 2) + (x mod 2))
A290399: 0 1 0 1 0 1 1 1 1 1 2 1 2 2 3 1
((((1 - x) div (((1 - (x div (2 + 1))) mod (2 + 1)) + 1)) mod 2) + (x mod 2))
A105242: 0 1 1 1 1 1 0 1 1 1 1 2 1 1 1 2
((x div (((x div 2) div ((((x div 2) mod (2 + 1)) mod 2) + 1)) + 2)) + (x mod 2))
A324117: 0 1 1 2 1 2 1 2 2 3 1 2 1 2 2 4
(((x mod (((x div (x - (((2 + 2) * 2) * 2))) * 2) - 1)) mod 2) + (x mod 2))
A084927: 0 1 1 1 0 2 0 1 1 2 0 2 0 2 1 1
((((((x * x) * x) mod (((x + 1) * 2) + 1)) div (2 + 1)) mod 2) + (x mod 2))
A001822: 0 1 0 1 1 1 0 2 0 2 1 1 0 2 1 2
(((((((x - 1) * x) div (2 + 2)) mod (2 + 2)) div (2 + 1)) * 2) + (x mod 2))
A221167: 0 1 0 1 2 1 2 1 0 1 0 3 0 3 0 1
(((((x * x) div (((x div 2) + 2) + 1)) mod ((x + 2) + 1)) mod 2) + (x mod 2))
A037135: 0 1 1 1 1 2 0 1 1 2 0 2 1 1 0 1
((((((x * 2) + 1) mod (((x mod (2 + 2)) * 2) + 1)) mod 2) * 2) + (x mod 2))
A319148: 0 1 0 1 0 1 2 3 0 3 2 1 0 1 0 3
((((((((x div 2) + x) * x) + 1) div ((2 + 2) + 1)) mod 2) * 2) + (x mod 2))
A246960: 0 1 2 1 2 3 2 1 2 3 0 3 2 3 2 1
((x div ((x div ((((x + 1) div 2) mod ((2 + 2) + 1)) + 2)) + 2)) + (x mod 2))
A109129: 0 1 1 2 1 2 2 3 2 2 1 3 2 3 2 4
((x div ((x div (((x * 2) mod ((x mod (2 + 2)) + 1)) + 2)) + 2)) + (x mod 2))
A124768: 0 1 1 2 1 2 1 3 1 2 2 3 1 2 2 4
((x div ((x div (((1 - x) mod ((x mod (2 + 2)) + 1)) + 2)) + 2)) + (x mod 2))
A319841-A305079: 0 1 1 2 1 2 1 3 1 2 1 3 1 2 2 4
((((((((x * 2) div (2 + 1)) * (x + 2)) div 2) + 1) div 2) mod 2) + (x mod 2))
A101665: 0 1 1 2 1 2 0 2 1 2 0 2 0 1 0 2
((((((1 - (x mod (2 + 2))) mod (x + 1)) mod (2 + 1)) mod 2) * 2) + (x mod 2))
A080468: 0 1 0 1 2 1 0 1 2 1 2 3 2 1 0 1
((x div (((((x + 2) * x) mod ((2 + 2) * (2 + 1))) + 2) + 2)) + (x mod 2))
A059451: 0 1 0 1 1 1 1 2 0 2 2 1 3 2 1 3
((x div ((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 2)) + 2)) + (x mod 2))
A071575: 0 1 1 2 1 3 1 3 2 4 1 4 1 4 2 4
((x div (((x + 1) div ((x mod (((x div 2) mod 2) + 2)) + 2)) + 2)) + (x mod 2))
A026904: 0 1 1 1 1 2 1 2 1 2 2 3 1 3 2 2
((((((2 + 2) * 2) * (2 + 1)) - 1) * ((x * x) div (2 + 2))) + (x mod 2))
A195058: 0 1 23 47 92 139 207 277 368 461 575 691 828 967 1127 1289
(((((((((2 + 2) + 1) * x) + 2) * 2) * ((2 + 2) + 1)) - x) * x) + 2)
A157368: 2 71 238 503 866 1327 1886 2543 3298 4151 5102 6151 7298 8543 9886 11327
(((((((x + 2) * 2) + x) * x) * (x + 1)) div (2 + 1)) - ((x * x) div 2))
A213492: 0 4 18 48 98 178 290 442 640 890 1196 1568 2008 2524 3122 3808
(((((((2 - ((x div 2) - 1)) mod ((x * 2) + 1)) mod 2) + x) + x) + x) + 2)
A284882: 2 5 8 11 15 18 20 23 26 29 33 36 38 41 45 48
compr(\x.(((x + 1) mod (((x div 2) div (((x div 2) mod (2 + 1)) + 1)) + 1)) - 1),x)
A067570: 0 1 2 3 4 5 7
A014122: 0 1 2 3 4 5 7 8 9 10 11 13 15 17 19 23
((x - (((x + 2) mod ((x div (((x div (2 + 2)) + 2) + 1)) + 1)) - 1)) + x)
A167384: 1 3 5 6 9 10 13 14 17 18 21 22 23 27 28 29
((x mod (((((x + 1) div 2) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1)) + x)
A246594: 0 1 2 3 4 6 6 7 8 10 12 13 12 14 14 15
compr(\x.((1 - x) mod ((x mod ((((x * 2) - 1) mod ((x div 2) + 1)) + 1)) + 1)),x)
A067570: 0 1 2 3 4 5 7
A071163: 0 1 2 3 4 5 7 8 9 10 12 13 17 18 21 22
compr(\x.(x mod ((x mod (((((x * x) + 1) * 2) mod ((x div 2) + 1)) + 1)) + 1)),x)
A221178: 0 1 2 3 4 6 7 8 10 12 15 16 18 20 22 24
compr(\x.((x div (((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) * 2) - 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A032345-A023765: 0 1 2 3 4 5 6 7 8 9 10 18 19 20 27 28
compr(\x.(1 - (x mod ((((x div (2 + 2)) + x) mod (((x + 1) div 2) + 1)) + 1))),x)
A095033: 1 4 5 6 7 9 11 16 17
compr(\x.(1 - ((x * x) mod (((x * 2) mod ((((2 + 2) * 2) * 2) + 1)) + 1))),x)
A331125: 1 2 3 4 5 6 7 8 9 11 13 14 15 19 20 23
compr(\x.(1 - (x mod ((((x div (0 - 2)) * 2) mod (((2 + 2) * 2) + 1)) + 1))),x)
A050687: 1 2 3 4 5 6 7 10 11 12 13 14 16 19 20 21
compr(\x.(x mod (((((x + 2) + 2) * (x * x)) mod (((2 + 2) * 2) + 1)) + 1)),x)
A278996: 0 3 5 6 8 9 12 14 15 18 21 23 24 27 30 32
(((((((x * 2) * 2) + 1) * 2) * ((((x * 2) * 2) * 2) + 1)) + 1) * x)
A165220: 0 91 614 1953 4492 8615 14706 23149 34328 48627 66430 88121 114084 144703 180362 221445
compr(\x.(1 - (x mod (((((x div (2 + 1)) + x) + 2) mod ((2 + 2) + 1)) + 1))),x)
A322546: 1 2 3 4 5 7 8 9 11 13 17 19 23
((x * x) div ((((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1) + x))
A075795: 0 0 1 1 3 3 5 4 6 7 9 8 11 11 12 11
compr(\x.(((x * x) mod (1 - ((x mod (((2 + 2) * 2) + 1)) * (2 + 1)))) + 1),x)
A167211: 1 2 3 4 5 6 7 8 11 13 15 16 17 19 21 23
compr(\x.(((x * x) - 2) mod (((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1)),x)
A159007: 32 41 105 114 178 187 251 260 324 333 397 406 470 479 543 552
(((((x - (1 - (2 div ((x div (2 + 2)) + 1)))) * 2) div (2 + 1)) + 1) + x)
A284015: 1 3 5 6 7 9 11 12 13 15 17 18 20 22 23 25
compr(\x.(((((x * x) * x) * (x * x)) + 1) mod (((2 + 2) * (2 + 1)) - 1)),x)
A028735: 2 6 7 8 10 13 17 18 19 21
A267541: 2 6 7 8 10 13 17 18 19 21 24 28 29 30 32 35
compr(\x.((x mod (((2 + 2) + 1) * 2)) - (x mod (((2 + 2) * (2 + 1)) - 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A032865-A009995: 0 1 2 3 4 5 6 7 8 9 10 20 21 30 31 32
compr(\x.((1 - (((x * x) * x) * (x * x))) mod (((2 + 2) * (2 + 1)) - 1)),x)
A095028: 1 3 4 5 9
A267755: 1 3 4 5 9 12 14 15 16 20 23 25 26 27 31 34
compr(\x.(((2 + 2) * (2 + 1)) - (x div ((x mod ((2 + 2) * (2 + 1))) + 1))),x)
A297276-A296749: 12 24 25 36 37 38 48 49 50 51 60 61 62 63 64 72
compr(\x.(1 - (x mod (((((2 - x) * x) - (x div 2)) mod ((x div 2) + 1)) + 1))),x)
A146968: 4 5 7
A196004: 4 5 7 9 10 11 13 15 16 17 18 19 21 22 23 24
((((((((x div 2) * 2) div (2 + 1)) * 2) * (2 + 1)) mod (x + 1)) + 1) + x)
A064764: 1 2 3 4 6 6 12 12 12 12 18 18 24 24 24 24
compr(\x.(1 - (x mod (2 - (x mod (0 - ((((x - 1) mod (2 + 1)) * 2) + 1)))))),x)
A286758: 1 2 3 5 7 8 11 12 13 14 15 17 18 19 20 21
(((x - (((((x + 1) div 2) div 2) div 2) - 1)) * (((2 + 1) * 2) + 1)) + x)
A136768: 7 15 23 31 39 47 55 56 64 72 80 88 96 104 112 113
((((((2 + 2) * 2) * (2 + 1)) - 1) * (x div (((2 + 1) * 2) + 1))) + x)
A024640: 0 1 2 3 4 5 6 30 31 32 33 34 35 36 60 61
compr(\x.(((((x * x) * x) - 1) * x) mod (((((2 + 2) + 1) * 2) * 2) + 1)),x)
A010383: 0 1 4 7 9 15 16 18
A010403: 0 1 4 7 9 15 16 18 21 22 25 28 30 36 37 39
compr(\x.((x + 1) mod ((((((x * x) div ((x + 2) + 2)) + 1) mod 2) * 2) + 1)),x)
A028776: 2 3 5 6 8 10 11 12 13 14 15 17 19 20 21 23
compr(\x.(1 - (x mod (((x div 2) mod ((((x div 2) mod (2 + 1)) + 2) + 2)) + 1))),x)
A154660: 3 4 5 6 7 8
A026421: 3 4 5 6 7 8 9 10 11 13 14 16 17 19 22 23
((((((2 div (((2 + 1) * 2) - (x div (2 + 1)))) * 2) * 2) * 2) + 1) + x)
A252490-A032981: 1 2 3 4 5 6 7 8 9 10 11 12 21 22 23 32
compr(\x.(2 - ((x + 1) mod ((((2 - ((x div (2 + 1)) mod 2)) * 2) * 2) + 1))),x)
A253239: 1 2 3 6 7 11 12 13 14 16 17 19 20 21 22 23
((((x * x) * (x - 1)) div ((((((2 + 2) * 2) * 2) * 2) * 2) + 1)) + x)
A175869: 0 1 2 3 4 6 8 11 14 18 23 29 36 44 53 63
compr(\x.(2 - (((x * 2) + 1) mod ((((((x div 2) mod 2) * 2) * 2) * 2) + 1))),x)
A062837: 2 3 6 7 10 11 14 15 19 23 26 30 34 35 38 39
((((2 - ((x - (((x div 2) mod 2) * 2)) mod ((2 + 2) * 2))) * 2) + 1) + x)
A004446: 5 4 7 6 1 0 3 2 13 12 15 14 9 8 11 10
compr(\x.(1 - ((x mod ((2 + 2) * 2)) - (x mod ((((2 + 2) * 2) * 2) - 1)))),x)
A297285-A296758: 15 30 31 45 46 47 60 61 62 63 75 76 77 78 79 90
(((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (((2 + 2) * 2) + 1)) - x)
A061601: 9 8 7 6 5 4 3 2 1 0 89 88 87 86 85 84
(((((((x div 2) * 2) div (2 + 1)) + 2) * x) div (((2 + 2) * 2) + 1)) + x)
A179180: 0 1 2 3 5 6 8 10 11 13 15 17 20 21 23 25
(((((((2 + 2) * 2) * 2) * 2) - 1) * (x div (((2 + 2) * 2) + 1))) + x)
A024652: 0 1 2 3 4 5 6 7 8 40 41 42 43 44 45 46
(((((x div ((2 + 2) + 1)) + 1) div 2) * ((x div ((2 + 2) * 2)) + 1)) + x)
A345914: 0 1 2 3 4 6 7 8 10 11 12 13 14 15 16 19
compr(\x.(1 - (x mod (((((2 + 1) * x) + 1) mod ((x div (2 + 2)) + 2)) + 1))),x)
A028736: 5 7 10 11 14 15 17 19 20 21 22
compr(\x.(2 - (x mod (x - (2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 1)))))),x)
A104523: 6 9 10 12 14 15 16 17 19 20 22 23 24 25 26 27
((((((x div ((2 + 2) + 1)) * (2 + 1)) div 2) + 1) * ((2 + 2) + 1)) + x)
A174138: 5 6 7 8 9 15 16 17 18 19 30 31 32 33 34 40
(((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) * ((2 + 2) + 1)) + x)
A092185: 0 6 22 53 104 180 286 427 608 834 1110 1441 1832 2288 2814 3415
((((((2 + 2) * (2 + 1)) + 1) * ((x div 2) + 1)) div ((2 + 2) + 1)) + x)
A201363: 2 3 7
A287675: 2 3 7 8 11 12 16 17 21 22 25 26 30 31 34 35
(((((x div 2) div (((2 + 1) * 2) + 1)) + 2) * ((x div (2 + 2)) + 1)) + x)
A169606: 2 3 4 5 8 9 10 11 14 15 16 17 20 21 26 27
compr(\x.((x - (((x + 1) * 2) mod (((2 + 2) * (2 + 1)) + 1))) mod (2 + 1)),x)
A098019: 1 4 8 11 12 15 18 19 22 26 29 33 36 40 43 47
compr(\x.(2 - ((x - ((x * 2) mod (((2 + 2) * (2 + 1)) + 1))) mod (2 + 1))),x)
A191105: 1 4 8 11 15 18 22 25 26 29 32 33 36 40 43 47
((((x * x) - (((((x div 2) mod 2) - x) div (2 + 1)) - 1)) div (2 + 1)) + x)
A024204: 0 2 4 6 10 14 19 24 30 37 44 53 61 71 81 92
(((x - ((((((2 - x) div 2) div (2 + 1)) mod 2) * 2) - 1)) mod (2 + 1)) + x)
A191672: 1 3 2 5 4 6 8 7 9 10 12 11 13 15 14 17
((((x * 2) - ((x * 2) mod ((((2 + 2) * 2) * 2) + 1))) * (2 + 1)) + x)
A024654: 0 1 2 3 4 5 6 7 8 60 61 62 63 64 65 66
compr(\x.(1 - ((x - ((x div (2 + 2)) mod ((x mod (2 + 2)) + 1))) mod (2 + 1))),x)
A175416: 1 2 4 5 6 8 10 14 16 17 18 19 20 21 22 23
((((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) * (2 + 1)) + x)
A069811: 0 1 2 3 4 8 9 10 11 15 16 20 21 25 29 30
(((((x - 1) * x) div (((2 + 1) * 2) - (x div (2 + 1)))) div (2 + 1)) + x)
A074715: 0 1 2 3 4 6 8 10 12 17 20
(((((x + 1) mod (((x mod 2) + 2) * 2)) + (x div (2 + 1))) div (2 + 1)) + x)
A322407: 0 1 3 4 4 5 7 8 9 11 12 12 13 15 16 18
(((((((x + 1) div 2) div 2) + 1) div 2) + (((x div 2) + 1) div (2 + 1))) + x)
A039098: 0 1 2 4 6 7 8 9 10 11 13 15 16 17 18 19
((((((2 - x) mod ((x div (2 + 2)) + 2)) + x) + (x + 1)) div (2 + 1)) + x)
A083028: 0 2 3 5 7 8 11 12 14 15 17 19 20 23 24 26
((((((((x div (2 + 2)) mod 2) + x) div (2 + 1)) + 1) * 2) div (2 + 1)) + x)
A039184: 0 1 2 4 5 7 8 9 10 11 12 13 15 16 18 19
((((x - (((x + 1) mod (1 - ((2 + 2) * 2))) - 1)) * 2) * (2 + 1)) + x)
A133897: 42 43 44 45 46 47 48 91 92 93 94 95 96 97 140 141
compr(\x.(((x mod (((2 - (x * x)) mod ((2 + 2) * 2)) + 1)) + 2) mod (2 + 1)),x)
A161153: 1 3 4 5 7 9 11 13 15 16 17 18 19 21 22 23
compr(\x.(((((x - 1) * x) div 2) * (x - 1)) mod (((2 + 1) * 2) * (2 + 1))),x)
A230240: 0 1 4 7 9 13 16 19 25 27 28 31 36 37 40 43
(((((x - ((x - 1) mod (2 + 1))) * (x div (2 + 1))) div 2) div (2 + 1)) + x)
A067570: 0 1 2 3 4 5 7
A228234: 0 1 2 3 4 5 7 9 10 12 15 16 18 21 22 25
((1 - ((x + 1) mod (((2 - ((x div 2) div (0 - 2))) * 2) div (2 + 1)))) + x)
A161764: 1 2 2 4 4 6 6 8 8 10 9 12 12 12 12 16
((((((x * x) div (((x div 2) + 2) * (2 + 1))) + 2) * 2) div (2 + 1)) + x)
A239161: 1 2 3 5 6 7 8 10 11 13 14 15 17 19 20 21
compr(\x.(((x - ((2 - (x - ((x div 2) div (2 + 1)))) div 2)) div 2) mod (2 + 1)),x)
A189464: 1 5 9 13 14 17 18 22 26 30 31 34 35 39 43 47
((((((2 - (2 div ((x div (2 + 2)) + 1))) * 2) + 2) * 2) * (2 + 1)) + x)
A272270: 12 13 14 15 28 29 30 31 44 45 46 47 48 49 50 51
(((((((x - ((x div 2) div (2 + 1))) div 2) + 2) * 2) * 2) div (2 + 1)) + x)
A188078: 2 3 6 7 9 10 11 13 14 17 18 20 21 22 24 25
(((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1)) + x)
A039191: 0 1 2 3 5 6 8 9 10 11 12 13 14 16 17 19
(((((x - (((x - 1) mod ((x div 2) + 2)) div 2)) + 2) * 2) div (2 + 1)) + x)
A284752: 1 3 4 5 7 9 11 13 14 15 17 19 20 21 23 25
compr(\x.((x - ((x * x) mod (x - ((1 - ((2 + 2) * 2)) * 2)))) mod (2 + 1)),x)
A080722: 0 1 3 4 7 8 9 10 13 16 19 20 21 22 23 24
(((((((1 - (x div 2)) div (2 + 1)) * (x div 2)) div 2) div 2) * (2 + 1)) + x)
A025481: 0 1 2 3 1 2 3 4 5 6 1 2 3 4 2 3
compr(\x.((x div ((x mod ((2 + 2) * (2 + 1))) + 1)) mod ((2 + 2) * (2 + 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A023793: 0 1 2 3 4 5 6 7 8 9 10 11 12 24 25 36
((((((((x div 2) * x) div ((2 + 2) + 1)) + x) + 2) * 2) div (2 + 1)) + x)
A057057: 1 3 4 6 8 11 13 15 18 21 24 27 30 33 37 40
((((((x div ((x div ((x mod 2) + 2)) + 2)) + x) + 2) * 2) div (2 + 1)) + x)
A284658: 1 3 4 7 8 10 12 13 15 17 18 21 22 24 25 27
((((x + 1) div (((2 + 1) * 2) + 1)) + (((x div 2) * 2) div (2 + 1))) + x)
A230044: 0 1 2 3 5 6 9 10 11 12 14 15 17 19 20 21
(((((x div (((1 - x) mod (2 + 1)) + 1)) mod 2) - (x mod 2)) * (2 + 1)) + x)
A222251: 0 1 2 3 4 5 9 7 8 6 10 11 12 13 14 15
((((((0 - x) - 2) - (x div (2 + 1))) mod (2 + 1)) - (x mod (2 + 1))) + x)
A288119: 1 0 2 3 5 4 8 7 6 10 9 11 12 14 13 17
((((((((x div 2) * x) div (2 + 2)) + 1) + ((x + 1) * x)) div 2) + 1) + x)
A294481: 1 3 6 10 16 22 30 39 49 60 72 85 100 115 132 149
(((1 - ((x mod 2) - (((x div 2) + x) * (2 + 1)))) * ((x div 2) + 1)) - x)
A266956: 1 2 18 21 53 58 106 113 177 186 266 277 373 386 498 513
((compr(\x.((x - 1) mod (((x mod ((x div (2 + 1)) + 2)) div 2) + 1)),x) + 1) - x)
A035430: 1 1 1 1 1 1 2 2 3 3 3 3 4 5 6 7
((((x mod (((x mod ((2 + 2) * (2 + 1))) + 1) * 2)) + 1) mod (x + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A344452: 0 1 2 3 4 5 6 7 8 9 10 11 13 15 17 23
((((((2 - (x * x)) mod (((x div 2) + 2) + 1)) mod 2) + 1) * (x + 1)) - x)
A089028: 1 3 1 5 6 1 1 9 10 11 1 13 1 1 1 17
(((((((x * x) + 2) * x) div (2 + 1)) + x) div (x + 2)) + ((x + 1) * x))
A088207: 0 2 7 14 24 37 52 70 90 113 139 167 198 232 268 307
compr(\x.(((x + 1) mod ((((x - 1) * x) mod (((2 + 2) * 2) + 1)) + 1)) mod 2),x)
A169655: 0 1 2 3 5 8 9 10 11 12 13 14 15 17 18 19
(((((((x * x) * (x + 1)) div 2) div (((x + 2) + 2) + 1)) + 1) div 2) + x)
A194201: 0 1 2 4 6 9 12 15 19 23 28 34 40 46 53 60
compr(\x.(((x div 2) div (((((x div 2) * x) div (2 + 1)) mod (2 + 1)) + 1)) mod 2),x)
A274231: 0 1 3 4 5 8 9 10 12 13 14 15 16 17 20 24
compr(\x.(((((x * x) * x) - 1) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) mod 2),x)
A010381: 0 1 4 5 6 7 9 11 16 17
A010399: 0 1 4 5 6 7 9 11 16 17 19 20 23 24 25 26
compr(\x.((x - ((((x * 2) * 2) + 1) mod (((2 + 2) * (2 + 1)) - 1))) mod 2),x)
A026316: 1 4 7 8 10 11 13 14 16 17 20 23 26 29 30 32
(((((((x div 2) + 1) * x) div (x - (((x div 2) - 1) div 2))) + 1) * 2) + x)
A284370: 2 3 8 9 12 13 16 17 20 21 26 27 30 31 36 37
(((((x - (((x div 2) mod 2) - 1)) div 2) * (((x + 1) div 2) + 1)) div 2) + x)
A102282: 0 2 3 4 7 11 12 14
(((x div ((((((x div (2 + 2)) + x) div (2 + 1)) mod 2) + 2) + 1)) + 2) + x)
A340608: 2 3 4 5 7 8 10 11 12 13 15 16 17 18 19 22
(((((x mod ((x div 2) + 2)) div 2) * ((((x + 1) div 2) div 2) + 1)) div 2) + x)
A174788: 0 1 2 3 4 5 6 8 9 10 11 15 16 17 18 22
compr(\x.(1 - (x mod ((x div (((((x mod (2 + 2)) * 2) * 2) * 2) + 1)) + 2))),x)
A173001: 1 3 4 5 7 8 11 12 13 15 16 17 19 20 21 22
compr(\x.(1 - (x mod ((x mod ((((2 - (x div (2 + 2))) + 2) + 2) + 1)) + 2))),x)
A322030: 1 2 3 4 5 7 8 9 11 13 14 16 17 19 23 25
compr(\x.(((x div ((x mod ((x div ((2 - (x mod 2)) * 2)) + 2)) + 2)) + 1) mod 2),x)
A060863: 2 3 4 5 6 7 9 11 12 13 15 17 18 19 21 22
(((((((x * x) + 2) div (2 + 1)) + (2 + 2)) * ((2 + 2) + 1)) div 2) + x)
A335016: 10 13 17 20 29
((((((x - (((x div 2) div (0 - 2)) - 1)) * (x + 2)) div 2) + 1) div 2) + x)
A004131: 1 3 6 9 13 17 24 30 36 42
compr(\x.(1 - (x mod ((x mod ((((1 - x) mod (2 + 1)) + 1) * (2 + 1))) + 2))),x)
A316465: 1 2 3 4 5 7 8 9 10 11 13 16 17 19 21 22
((((x div (2 - (x - ((((2 + 2) * 2) * 2) + 1)))) * (2 + 1)) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A246422: 0 1 2 3 4 5 6 7 8 9 11 12 13 16 17 19
((((2 - (((1 - x) * 2) div (((2 + 2) * 2) + 1))) * (2 + 1)) div 2) + x)
A179872: 3 4 6 7 8 9 12 13 14 15 16 18 19 20 21 24
compr(\x.(1 - (x mod (((x - ((x - 1) div ((2 + 2) + 1))) mod (2 + 1)) + 2))),x)
A242417: 1 2 3 4 5 6 7 8 9 11 13 16 17 19 21 23
(((x - ((((((x - 2) * 2) mod (x + 2)) div 2) - 1) div (2 + 1))) div 2) + x)
A257047: 0 2 3 4 6 7 9 11 12 13 15 16 18 19 20 22
compr(\x.(1 - (x mod (((((x div (2 + 1)) * (x div 2)) + 1) mod (2 + 1)) + 2))),x)
A193622: 1 2 3 5 7 10
A122428: 1 2 3 5 7 10 11 13 14 15 17 19 20 21 23 25
((((x + 2) * 2) - ((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)) + x)
A104280: 4 7 10 12 16 19 22 24 27 31 34 37 40 42 45 49
((((((x + 1) * x) div ((2 + 2) * 2)) + ((x + 1) div (2 + 1))) div 2) + x)
A156625: 0 1 2 4 5 7 9 11 14 16 18 21 23 26 29 32
((((x - (((x div ((2 + 2) + 1)) mod (2 + 1)) * 2)) div (2 + 1)) * 2) + x)
A192225: 0 1 2 5
A039044: 0 1 2 5 6 7 8 9 12 13 14 15 16 19 20 25
((((((1 - (((2 - x) * x) div (2 + 1))) * x) div 2) div (2 + 1)) div 2) + x)
A175842: 0 1 2 3 5 7 10 14 19 25 33 42 53 66 80 97
compr(\x.(1 - ((((x + 2) * x) + ((2 + 2) * 2)) mod ((x div (2 + 1)) + 2))),x)
A081606: 1 3 4 5 7 9 10 11 12 13 14 15 16 17 19 21
((((x - ((((x div (2 + 2)) + x) div (0 - 2)) * 2)) * (x + 1)) div 2) + x)
A026353: 0 4 8 17 29 38 55 67 89 114 131 161 194 216 254 279
(((((((x div (2 + 2)) * x) div (((2 + 1) * 2) + 1)) + 1) div 2) * 2) + x)
A175585: 0 1 2 3 4 5 6 9 10 11 12 15 18 19 20 21
(((((x * 2) - ((x - ((2 - x) div 2)) div ((2 + 2) + 1))) * 2) * 2) - x)
A188319: 4 7 14 21 24 31 38 41 48 55 62 65 72 79 82 89
(((2 - (((2 - ((x - 1) div 2)) * (x div ((2 + 2) + 1))) div 2)) div 2) + x)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A306424: 1 2 3 4 5 6 7 8 9 10 12 13 14 16 17 20
((((x - ((((2 - x) * (x * 2)) * (x - 1)) div (2 + 1))) - 2) * 2) + x)
A030441: ~4 ~1 2 13 40 91 174 297 468 695 986 1349 1792 2323 2950 3681
(((((2 - ((((x div 2) div (2 + 1)) - x) div 2)) * (2 + 1)) div 2) div 2) + x)
A225647: 1 3 4 6 7
A122409: 1 3 4 6 7 8 9 10 12 13 15 16 17 19 20 21
compr(\x.(1 - ((x * 2) mod (((((x div (2 + 1)) + x) div (2 + 1)) + 2) + 2))),x)
A286053: 1 3 4 5 8 9 10 11 12 13 14 16 17 19 20 21
(((((((x * x) div (x + 2)) * (x + 1)) + (x div (2 + 1))) div 2) div 2) + x)
A194178: 0 1 2 4 6 9 13 17 22 27 32 38 45 52 60 68
(((((((x - 1) mod ((x div 2) + 2)) div 2) * ((x div 2) + 1)) div 2) div 2) + x)
A007298: 0 1 2 3 4 5 6 7 8 10 11 12 13 16 18 19
(((((((x div 2) + 1) * 2) - (x div (2 + 1))) * ((x + 1) div 2)) div 2) - x)
A126167: 0 0 0 0 1 2 3 5 8 8 12
((1 - (x mod (((((x div 2) div (((2 + 1) * 2) + 1)) + 2) + 2) * 2))) + x)
A290624: 1 1 1 1 1 1 1 1 9 9 9 9 9 9 11 11
compr(\x.((((x div (((x - 1) mod ((x div (2 + 2)) + 2)) + 1)) + 2) div 2) mod 2),x)
A159559: 3 5 6 7 8 11 12 14 15 17 18 19 20 21 22 23
(((x - ((x - (x div (((x div 2) mod ((2 + 2) + 1)) + 2))) div 2)) div 2) + x)
A138083: 0 1 2 4 5 6
A081694: 0 1 2 4 5 6 8 9 10 11 14 15 16 17 18 19
((((x - ((x div 2) mod 2)) div (2 + 1)) + ((((x + 1) div 2) div 2) div 2)) + x)
A203076: 0 1 2 3 5 6 7 10 11 13 14 15 17 18 19 21
((((((((((x + 1) div 2) * (x + 2)) div 2) + 1) div 2) div 2) div 2) * 2) + x)
A026808: 0 1 2 3 4 7 8 11 12 15 16 21 22 25 28 31
(((((2 - (((x div 2) div (2 + 1)) * ((x - 1) div 2))) div 2) div 2) * 2) + x)
A308973-A269757: 0 1 2 3 4 5 6 5 6 7 8 9 8 7 8 9
((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) div 2) * 2) * 2) * 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A280657-A119246: 0 1 2 3 4 5 6 7 8 9 10 19 20 29 30 39
(((((x * 2) * 2) * 2) * (x + 1)) div (((((2 + 2) * 2) * 2) * 2) + x))
A006463: 0 0 1 2 4 6 8 11 14 17 20 24 28 32 36 40
compr(\x.(1 - (x mod ((((((x * x) div 2) mod ((x + 2) + 2)) div 2) mod 2) + 2))),x)
A277334-A091377: 1 2 3 5 7 9 11 13 15 17 19 21 23 25 29 31
((((((((2 + 2) * 2) * 2) * 2) - 1) * (x div ((2 + 2) * 2))) * 2) + x)
A024649: 0 1 2 3 4 5 6 7 70 71 72 73 74 75 76 77
((((((x * 2) - ((((x div 2) div (0 - 2)) - x) div 2)) + 2) + 2) * 2) - x)
A095097: 8 13 18 21 26 29 34 39 42 47 52 55 60 63 68 73
compr(\x.(2 - (x mod ((x mod (((x mod ((x mod 2) + 2)) + 1) * (2 + 2))) + 2))),x)
A235991: 2 3 5 6 7 10 11 13 14 17 18 19 22 23 26 27
((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * (x div ((2 + 2) * 2))) + x)
A237344: 0 1 2 3 4 5 6 7 49 50 51 52 53 54 55 56
compr(\x.((((x - 1) mod (((2 + 2) * 2) + 1)) + 2) - (x mod ((2 + 2) * 2))),x)
A297266-A297140-A296707: 10 11 12 13 14 15 19 20 21 22 23 28 29 30 31 37
(((((((2 + 2) * (x + 1)) + x) * x) div 2) div (((x + 2) + 2) + 2)) + x)
A325946: 0 1 3 6 8 11 14 17 20 23 26 30 33 36 39 43
((((((1 - (x div ((2 + 2) + 1))) mod (2 + 1)) + (x div 2)) div 2) * 2) + x)
A161674: 0 1 4 5 6 7 8 9 12 13 16 17 20 21 22 23
((x - (1 - ((1 - ((x - ((x div 2) div (2 + 1))) div 2)) mod (2 + 2)))) + x)
A039022: 0 2 3 5 10 12 14 15 17 18 20 21 23 25 30 32
compr(\x.(2 - ((x mod (((2 + 2) + 1) * 2)) - (((x - 1) div 2) mod (2 + 2)))),x)
A174876: 2 3 4 5 6 7 8 9 14 15 16 17 18 19 25 26
compr(\x.(((x - (((2 + 1) * x) div (1 - ((2 + 2) * 2)))) div 2) mod (2 + 2)),x)
A231000: 0 5 6 11 17 22 23 28 33 34 39 45 50 51 56 61
(((x * x) div ((((2 + 2) * 2) * (2 + 1)) - ((x + 2) mod (2 + 2)))) + x)
A205805: 0 1 2 3 4 6 7 9 10 12 14 16 18 21 22 24
compr(\x.(((2 - ((((x div (2 + 1)) + x) div ((2 + 2) + 1)) + x)) div 2) mod 2),x)
A191338: 1 2 4 5 8 11 14 17 18 20 21 23 24 27 30 33
((((((((x - ((2 - x) div (2 + 2))) div 2) + 1) div 2) + x) + 2) * 2) + x)
A024813: 4 7 12 15 18 23 26 29 34 37 40 45 48 51 54 59
(((((((x * x) * (x * x)) + 1) * x) * (x * x)) + ((x + 2) * 2)) * x)
A054607: 0 8 288 6672 65840 391320 1681008 5767328 16781472 43053480 100010240 214373808 430002768 815759672 1475827920 2562941760
(((((x - (((x mod (2 + 2)) - x) * (2 + 1))) - 1) * (x div 2)) div 2) + x)
A273553: 0 1 2 4 19 21
(((((x div ((((x mod (2 + 1)) + 1) * 2) + 1)) mod 2) + (x div 2)) + 2) + x)
A137698: 2 3 5 7 8 9 11 13 15 16 17 19 20 21 23 25
compr(\x.((((((x div ((2 + 2) * (2 + 1))) + x) div (2 + 1)) + 1) + x) mod 2),x)
A327422: 1 4 7 10 13 14 16 17 19 20 22 23 26 29 32 35
(((((((((2 - x) * x) mod ((x div 2) + 1)) div 2) + x) div 2) + x) + 2) + x)
A189677: 2 4 7 9 12 14 17 19 22 25 28 30 33 35 37 40
((((((((((x + 2) + 2) * x) + 1) * x) - 1) * x) + 1) * (x + 2)) * x)
A215229: 0 18 408 2940 12600 40110 105168 240408 496080 945450 1690920 2870868 4667208 7313670 11104800 16405680
((((((((x div 2) + 1) * ((2 + 2) + 1)) + x) * 2) + 1) * (x div 2)) + x)
A316729: 0 1 27 30 82 87 165 172 276 285 415 426 582 595 777 792
(((((((x div 2) + 1) * ((2 + 2) + 1)) + x) + (x + 1)) * (x div 2)) + x)
A218864: 0 1 17 20 52 57 105 112 176 185 265 276 372 385 497 512
((((((x mod (((2 + 2) mod (x + 1)) + 1)) div 2) + 1) mod 2) + (x div 2)) + x)
A092289: 1 2 4 5 7 8 10 10 12 14 16 17 18 19 22 23
((((((2 + 2) + 1) * 2) * 2) - (1 mod (((2 + 2) * 2) - (x div 2)))) + x)
A018824: 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35
compr(\x.((((x mod (((x mod ((2 + 1) * 2)) * 2) + 1)) + 1) mod 2) - (x mod 2)),x)
A247459: 1 3 5 7 8 9 10 11 13 15 16 17 19 21 23 25
((((x - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) mod 2) + (x mod 2)) + x)
A333470: 1 3 2 4 5 6 7 9 8 11 10 13 12 15 14 16
((x - ((2 - (((x * 2) * 2) * (2 + 1))) * ((x * 2) - (x mod 2)))) + x)
A298397: 0 12 92 176 376 532 852 1080 1520 1820 2380 2752 3432 3876 4676 5192
((((((x * x) div (((2 + 2) * 2) - (x div (2 + 1)))) mod 2) + 1) + x) + x)
A097911: 1 3 5 8
A189213: 1 3 5 8 9 12 13 15 17 19 21 23 25 27 30 32
(((((((x - 1) * x) div ((((x mod 2) * x) + 2) + 2)) mod 2) + 1) + x) + x)
A206812: 1 3 5 7 10 11 14 16 17 20 21 24 26 28 30 32
(compr(\x.(1 - (((((x * 2) - 1) div ((2 + 2) + 1)) + x) mod (2 + 1))),x) - x)
A102676: 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 6
(((((((x * x) * x) * (x * x)) * (((2 + 2) * 2) + 1)) + 2) * x) * x)
A237695: 0 11 1160
(((((((x * x) + 1) * x) * ((2 + 2) + 1)) - ((x + 1) * 2)) * x) * x)
A134632: 0 6 176 1278 5280 15950 39456 84966 165248 297270 502800 809006 1249056 1862718 2696960 3806550
((((x - ((x mod (((x div (2 + 2)) mod (2 + 1)) + 2)) div 2)) + 2) + x) + x)
A189369: 2 5 8 11 14 16 20 23 26 29 31 34 38 41 44 47
((((((x * 2) - ((x mod ((x mod 2) + 2)) div 2)) + 1) * 2) + 1) + (x * x))
A335753: 3 8 15 24 35 46 63 80
((((x - ((((x * x) div ((2 + 2) + 1)) + 1) div 2)) * 2) + 1) + (x * x))
A004630: 1 4 9 14 21 30 41 54 69 84
(((x * x) * x) div (((((2 + 1) * 2) * (2 + 1)) * (2 + 1)) + (x * x)))
A005358: 0 0 0 0 0 1 2 3 4 5 6 7 8 9 10 12
(((((((x + 1) * x) div 2) * (2 + 1)) div 2) * (2 + 1)) + ((x * x) * x))
A213485: 0 4 20 54 109 191 309 469 674 930 1246 1628 2079 2605 3215 3915
((((((x div 2) * (2 + 1)) + x) + 2) * ((x + 1) div 2)) + ((x * x) * x))
A213498: 0 4 15 43 88 164 267 415 600 844 1135 1499 1920 2428 3003 3679
loop(\(x,i).((loop(\(x,i).loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0),2,(x + 1)) + x) + 2),x,1)
A131437: 1 3 5 7 9 13 15 17 21 29 31 33 37 45 61 63
loop(\(x,i).((if x <= 0 then 0 else 1) - loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)),2,(x + 1))
A114219: 1 0 1 0 1 1 0 1 2 1 0 1 2 3 1 0
(if x <= 0 then 0 else (x - loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),x,(x - 1))))
A261366: 0 1 1 2 1 4 3 4 1 8 7 8 5 10 7 8
loop(\(x,i).(loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,i),1) + x),x,1)
A288349: 1 2 4 5 7 11 12 14 18 26 27 29 33 41 57 58
loop(\(x,i).loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,1)) * x),i,x),x,1)
A203305: 1 2 48 64512 20808990720 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(if x <= 0 then (x - 1) else loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)),2,x) + 2)
A057945: 0 1 2 1 2 3 1 2 3 2 1 2 3 2 3 1
loop(\(x,i).(i * x),x,loop(\(x,i).loop(\(x,i).((i * x) - 1),x,1),(x - 1),(if x <= 0 then 1 else x)))
A122685: 1 1 ~2 6 0 120 0 5040 0 362880 0 39916800 0 6227020800 0 1307674368000
(if x <= 0 then 1 else (0 - loop(\(x,i).(x - (if x <= 0 then 0 else ((if (x - 1) <= 0 then x else i) + 1))),x,x)))
A321391-A256140-A244003-A118344: 1 1 0 1 1 0 1 2 1 0 1 3 2 1 0 1
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then loop(\(x,i).((x + 1) * 2),x,(if x <= 0 then 1 else 0)) else 0)
A144855: 1 0 0 0 0 0 0 254 0 0 0 0 0
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(((2 + 2) + 1) * x),(i + 1),x),i,1) + x),(x + 1),0)
A178188: 25 3150 1956275 6105471900 95373537112525 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x - 1) <= 0 then x else (if (x mod 2) <= 0 then 1 else (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 0)))
A073068: 0 1 1 0 1 0 1 2 1 0 1 0 1 0 1 2
loop(\(x,i).(0 - x),x,(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0)))
A083321: 1 0 ~4 18 ~64 210 ~664 2058 ~6304 19170 ~58024 175098 ~527344 1586130 ~4766584 14316138
loop(\(x,i).(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),(i - 1),1) + x),x,0)
A277178: 0 1 7 37 177 807 3579 15591 67071 285861 1209641 5089517 21314453 88918353 369734553 1533115953
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (i * x)),(i - 1),1) + x),x,0)
A295519: 0 1 5 22 100 493 2701 16678 116704 923473 8204077 81069166 882762292 10503611245 135576241957 1886597854894
loop(\(x,i).(i + x),compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),0)
A030005: 0 1 3 10 15 28 36 55 91 105 153 190 210 253 325 406
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),i,0) - (i * x)),x,0)
A092692: 0 1 1 8 18 184 660 8448 42000 648576 4142880 74972160 586776960 12174658560 113020427520 2643856588800
loop(\(x,i).(x * x),1,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))
A088377: 1 4 9 4 25 4 49 4 9 4 121 4 169 4 9 4
loop(\(x,i).(x * x),2,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))
A088379: 1 16 81 16 625 16 2401 16 81 16 14641 16 28561 16 81 16
loop(\(x,i).(x * 2),x,((loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + 1))
A074533: 3 12 56 288 1568 8832 50816 296448 1745408 10340352 61515776 366993408 2193563648 13127811072 78632615936 471258759168
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0)) mod (x + 1)) + 1)
A131247: 1 1 1 1 3 1 1 5 3 1 1 7 7 3 1 1
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * 2),i,1)) * x),(x - 1),1)
A028666: 1 1 12 2880 11612160 758041804800 794088208701849600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 div (loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) + 1)) + 1))
A167194: 1 2 1 1 2 1 0 1 2 1 0 0 1 2 1 0
((x + 1) div (((if x <= 0 then 0 else (loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1)) * 2) + 1))
A202451: 1 0 1 0 1 2 0 0 1 3 0 0 1 2 5 0
((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((loop(\(x,i).(x * 2),x,2) + 2) + 1))) div 2) + 1)
A036562: 1 8 23 77 281 1073 4193 16577 65921 262913 1050113 4197377 16783361 67121153 268460033 1073790977
(if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010132: 5 1 4 1 10 1 4 1 10 1 4 1 10 1 4 1
(if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * 2) * (if x <= 0 then 1 else 2)) else 1)
A010156: 8 1 4 1 16 1 4 1 16 1 4 1 16 1 4 1
((loop(\(x,i).((i + 2) * x),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) * 2) - 1)
A105060: 1 1 5 1 5 23 1 5 23 119 1 5 23 119 719 1
(loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) + 1)) mod ((2 + 2) + 1))
A290457: 1 1 0 1 1 0 1 4 1 0 1 4 4 1 0 1
loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(x + 2)),((x + 2) + 2),1)
A273906-A268031-A226108-A167847-A120533-A108871: 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71
(loop(\(x,i).((x * 2) * 2),(if x <= 0 then 1 else (loop(\(x,i).(x * 2),x,2) - (x mod 2))),2) - 1)
A134722: 7 127 131071 2147483647 4611686018427387903
(((if (2 - loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) <= 0 then x else 2) + 1) div (2 + 1))
A099573: 1 1 1 1 1 2 1 1 3 3 1 1 4 4 5 1
(loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),i,(x + 2)),x,1) div (2 + 1))
A144769-A073518: 0 1 1 2 3 4 5 6 7 9 10 12 13 14 15 17
(((if x <= 0 then 0 else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2))) + 2) div (2 + 1))
A085199: 0 1 0 2 0 3 0 0 0 4 0 5 0 0 0 6
((if x <= 0 then 1 else ((x * 2) - loop(\(x,i).((if x <= 0 then (i * 2) else x) - 1),x,2))) div (2 + 1))
A229878: 0 0 1 0 1 2
A220660: 0 0 1 0 1 2 3 4 5 0 1 2 3 4 5 6
(loop(\(x,i).(if x <= 0 then 0 else ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)),2,x) + (2 + 1))
A189822: 3 6 7 8 9 12 15 16 17 18 19 20 21 22 23 24
(loop(\(x,i).((x - 2) * 2),(if x <= 0 then 0 else (2 + 1)),loop(\(x,i).((x + 1) * 2),x,2)) - 1)
A036564: 1 19 83 211 467 979 2003 4051 8147 16339 32723 65491 131027 262099 524243 1048531
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(loop(\(x,i).(x * 2),x,2) - 1))
A213246-A059990: 1 1 7 5 31 7 127 85 511 341 2047 455 8191 5461 32767 21845
loop(\(x,i).(loop(\(x,i).(x * 2),x,loop(\(x,i).(x * x),x,(2 + 1))) + 1),1,((x * 2) + 1))
A182374: 19 52489 59296646043258913 4611686018427387903 4611686018427387903
((if (x - 2) <= 0 then 1 else 2) div (if x <= 0 then 2 else (loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1))))
A336352: 0 1 0 1 0 0 0 2 1 0 0 1 0 0 0 1
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * 2),i,1)) * x),(x * 2),1)
A144547: 1 2880 758041804800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (if (x - 2) <= 0 then x else loop(\(x,i).((i - ((i * i) * 2)) * x),(x * 2),1)))
A273729: 1 1 2 7484400
(if (x mod 2) <= 0 then 1 else loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),(x div 2),1))
A046212: 1 1 1 6 1 30 1 140 1 630 1 2772 1 12012 1 51480
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),1))
A249308: 1 2 8 16 96 192 1280 2560 17920 35840 258048 516096 3784704 7569408 56229888 112459776
(if x <= 0 then (x mod 2) else (((if (((2 + 2) * 2) mod (if x <= 0 then 1 else x)) <= 0 then x else 0) + x) - 1))
A153151: 0 1 3 2 7 4 5 6 15 8 9 10 11 12 13 14
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x))) - 1)
A131782: 1 5 1 11 5 1 19 11 5 1 29 19 11 5 1 41
loop(\(x,i).((loop(\(x,i).(((if (x - 1) <= 0 then 1 else (x - 1)) * x) + 1),i,1) * x) + 1),x,1)
A188545: 1 3 10
A334211: 1 3 10 71 3054 5518579 18009568007498 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) - (loop(\(x,i).(x * 2),x,2) - 1)),2,x) * (x + 1)),x,1)
A323725: 1 6 57960 4611686018427387903
loop(\(x,i).(x div 2),x,(((if x <= 0 then 0 else loop(\(x,i).((x div 2) + (x * 2)),x,2)) + x) + 1))
A003860: 1 3 3 4 5
A104803: 1 3 3 4 5 6 7 9 11 14 17 22 27 34 43 54
loop(\(x,i).(x * x),1,loop(\(x,i).((((if x <= 0 then 1 else x) * 2) div (i + 1)) - (x * 2)),x,1))
A018224: 1 1 4 9 36 100 400 1225 4900 15876 63504 213444 853776 2944656 11778624 41409225
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((2 + 1) * x) - 1),x,1) - loop(\(x,i).(x * 2),x,1)))
A228701: 0 0 4 48 400 2880 19264 123648 774400 4776960 29185024 177205248 1071616000 6463242240 38913654784 234018766848
loop(\(x,i).((x * 2) * 2),(x - 1),loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(x * 2),x,1)))
A233163: 3 8 96 1280 18432 278528 4325376 68157440 1082130432 17246978048 275414777856 4402341478400 70403103916032 1126174784749568 18016597532737536 288247968337756160
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A074531: 3 14 94 764 6658 59324 532234 4785284 43053538 387440684 3486844474 31381238804 282430072018 2541867430844 22876797254314 205891146476324
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((1 - x) * x),1,loop(\(x,i).(x * 2),x,1)))
A083319: 1 5 21 83 321 1235 4761 18443 71841 281315 1106601 4369403 17304561 68694995 273202041 1088057963
loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))
A002897: 1 8 216 8000 343000 16003008 788889024 40424237568 2131746903000 114933031928000 6306605327953216 351047164190381568 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))
A024503: 1 0 0 0 0 1 1 1 1 2 3 3 5 6 8 10
loop(\(x,i).(x * 2),(x * x),loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))
A111637: 1 4 96 10240 4587520 8455716864 63496796504064 1932044240141942784 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(loop(\(x,i).((x div ((i * 2) - 1)) + x),x,i) - x),x,1),1,(x + 1))
A073359: 1 3 6 9 13 19 24 31 39 45 54 66 73 90 103 111
loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else (i - (i div (2 + 1))))),x,x)),1,(x + 1))
A128118: 1 2 1 2 1 3 2 1 4 3 2 1 4 3 2 1
(loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,1)) * x),x,1) div (x + 1))
A258745: 1 1 8 336 64512 53329920 184308203520 2621599886868480 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else ((loop(\(x,i).loop(\(x,i).((x * x) + 2),x,2),x,0) + 2) * 2)) * (x + 1))
A175720-A173605: 1 16 240 4611686018427387903
loop(\(x,i).(if x <= 0 then 1 else ((((x * 2) * 2) * 2) + (if (2 - i) <= 0 then x else 1))),x,(x + 1))
A081044: 1 17 225 2673 29889 321489 3365793 34543665 349156737 3486784401 34480423521 338218086897 3295011258945 31914537622353 307565765227809 2951106226689969
compr(\x.loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x),(x + 1))
A018900: 3 5 6 9 10 12 17 18 20 24 33 34 36 40 48 65
(if x <= 0 then 1 else loop(\(x,i).loop(\(x,i).((((i + 1) * 2) + 1) * x),(x - 2),x),1,(x - 1)))
A288950: 1 0 1 2 15 140 1575 20790 315315 5405400 103378275 2182430250 50414138775 1264936572900 34258698849375 996137551158750
(loop(\(x,i).(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1)),2,x) + (x - 1))
A217575: 2 6 7 12 13 14 20 21 22 23 30 31 32 33 34 42
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(((i * i) * i) + x),(i + 1),0)) + x),x,1)
A085439: 1 82 1378 11378 62003 256484 871140 2550756 6651381 15802006 34776742 71791798 140366759 261917384 469277384 811379400
loop(\(x,i).((loop(\(x,i).(if x <= 0 then 1 else ((x * x) * x)),(i - 1),(2 + 2)) + 1) * x),x,1)
A292687: 1 5 325 85197125 4611686018427387903 4611686018427387903
(loop(\(x,i).(0 - x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).((2 + 1) * x),x,1))
A135399: 3 0 14 18 98 210 794 2058 6818 19170 60074 175098 535538 1586130 4799354 14316138
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1))
A074526: 3 9 29 99 353 1299 4889 18699 72353 282339 1108649 4373499 17312753 68711379 273234809 1088123499
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,1))
A083324: 1 3 11 45 191 813 3431 14325 59231 242973 990551 4019205 16249871 65522733 263668871 1059425685
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,1))
A137786: ~1 ~1 3 29 159 749 3303 14069 58719 241949 988503 4015109 16241679 65506349 263636103 1059360149
(if x <= 0 then 0 else loop(\(x,i).((i div (2 + 1)) + 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1))
A163507: 0 1 2 1 3 2 4 1 4 3 5 2 6 4 6 1
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (if (i - 2) <= 0 then 1 else x)),x,1)
A290111: 1 11 101 1101 11101 111101 1111101 11111101 111111101 1111111101 11111111101 111111111101 1111111111101 11111111111101 111111111111101 1111111111111101
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * 2),(i * 2),1)) * x),x,1)
A028678: 1 240 15667200 262787825664000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).((x * x) * x),1,((i * 2) + 1))) + x),x,1)
A259322: 1 730 16355 134004 665445 2437006 7263815 18654440 42792009 89837890 175604011 323639900 567780525 955201014 1550024335 2437528016
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((2 + 1) * x),(i * 2),1)) * x),x,1)
A028671: 1 72 466560 247608990720 4611686018427387903 4611686018427387903 4611686018427387903
(2 - loop(\(x,i).(loop(\(x,i).((if x <= 0 then 2 else 1) - x),x,(2 + 1)) - ((x + 1) * x)),x,1))
A001543: 1 6 11 71 4691 21982031 483209576974811 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,(i + 1)) + x),i,(x + 1)) + x),x,1)
A163941: 1 9 52 246 1039 4083 15274 55152 193957 668397 2266816 7589418 25143355 82571751 269173078 871958244
loop(\(x,i).(loop(\(x,i).((if ((x * x) div (i + 1)) <= 0 then (x * 2) else 0) + x),x,1) + x),x,1)
A338130: 1 4 7 10 19 28 37 46 55 64 73 82 109 136 163 190
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * (2 + 1)),i,1)) * x),x,1)
A028668: 1 30 37800 1755432000 2946176634240000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((x * 2) * 2) * 2),i,1)) * x),x,1)
A028670: 1 56 225792 59074412544 990862210530017280 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) * x),x,1)
A269576: 1 7 259 45325 35398825 119187843775 1692109818073675 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((x * 2) div (if i <= 0 then 1 else i)) * 2) + x) * 2),i,1) + x),x,1)
A211386: 1 11 71 351 1471 5503 18943 61183 187903 553983 1579007 4374527 11829247 31326207 81461247 208470015
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) * x),x,1)
A126679: 1 6 150 13500 4063500 3925341000 11874156525000 110785880378250000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) + 1) * x),1,(loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))
A103217: 1 6 1 15 6 1 28 15 6 1 45 28 15 6 1 66
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((2 + 2) + 1) * x),i,1)) * x),x,1)
A028667: 1 20 12000 186000000 72540000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(((i * i) * (i * i)) + x),(i + 1),x),i,1) + x),x,1)
A101090: 1 19 135 605 2054 5778 14178 31350 63855 121693 219505 378027 625820 1001300 1555092 2352732
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((i + 1) * i) div 2) + x),i,1) + x),i,1) + x),x,1)
A027658: 1 4 12 31 71 147 280 498 837 1342 2068 3081 4459 6293 8688 11764
loop(\(x,i).(loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),i,1) - x),x,1)
A001769: 1 6 22 62 148 314 610 1106 1897 3108 4900 7476 11088 16044 22716 31548
(compr(\x.loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x),x) + 1)
A231407: 1 4 6
A340161: 1 4 6 7 10 11 13 18 19 21 25 34 35 37 41 49
loop(\(x,i).((if x <= 0 then 1 else ((x * 2) - (if (x mod ((i + 2) + 1)) <= 0 then 1 else x))) + x),x,1)
A222011: 1 2 4 8
A018627: 1 2 4 8 16 47 94 188 376 752
loop(\(x,i).(i * i),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + x),1)
A123726: 1 1 4 1 9 1 4 1 16 1 4 1 9 1 4 1
loop(\(x,i).(loop(\(x,i).(if (x mod 2) <= 0 then 1 else (((x * 2) * 2) * (x + 1))),1,i) + x),x,1)
A271062: 1 9 10 58 59 179 180 404 405 765 766 1294 1295 2023 2024 2984
(if x <= 0 then 0 else loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) - x),x,1))
A175673: 0 9 36 84 126 126 84 36 9 1
loop(\(x,i).(((loop(\(x,i).(((x * x) - 1) * 2),2,2) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A017734: 1 71 2556 62196 1150626 17259390 218618940 2404808340 23446881315 205811513765 1646492110120 12124169174520 82848489359220 528955739755020 3173734438530120 17984495151670680
(loop(\(x,i).(((x * 2) * 2) + 1),(x div 2),1) * loop(\(x,i).loop(\(x,i).(x * 2),i,x),x,1))
A181175: 1 2 40 320 21504 688128 178257920 22817013760 23433341566976 11997870882291712 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) - loop(\(x,i).(loop(\(x,i).((i - (x div (if i <= 0 then 1 else i))) * x),2,i) + x),x,1))
A060446: 0 1 8 39 136 377 888 1855 3536 6273 10504 16775 25752 38233 55160 77631
loop(\(x,i).(i * x),x,loop(\(x,i).(loop(\(x,i).(((i * 2) - 1) * x),i,1) + (i * x)),x,1))
A034405: 1 2 14 216 5976 262800 16945200 1511395200 178458940800 26959810348800 5071861902240000 1162523770531200000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((0 - x) * 2),i,1) + (i * x)),i,1) + (i * x)),x,1)
A087981: 1 0 2 4 24 128 880 6816 60032 589312 6384384 75630080 972387328 13483769856 200571078656 3185540657152
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (i * x)),i,1) + (i * x)),x,1)
A081924: 1 5 27 159 1029 7353 58095 506691 4860297 51023277 583097859 7215769575 96210083853 1375803720801 21012273704151 341449444105227
(loop(\(x,i).(loop(\(x,i).(i * x),i,1) + ((i + 1) * x)),x,0) + loop(\(x,i).(i * x),x,1))
A121555: 1 2 7 32 178 1164 8748 74304 704016 7362720 84255840 1047358080 14054739840 202514376960 3118666924800 51119166873600
loop(\(x,i).loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,x),i,x),x,1)
A055746: 1 1 2 20 2800 16464000 12778698240000 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else (if (x mod (2 + 1)) <= 0 then 1 else (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 2)))
A076451: 2 2 2 1 0 2 1 2 2 1 2 2 1 2 0 1
(loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(x + 2)),(x - 1),1) * 2)
A077017: 2 2 6 10 14 22 26 34 38 46 58 62 74 82 86 94
((loop(\(x,i).(x * 2),x,loop(\(x,i).((x + 1) * 2),x,1)) + (if (x - 1) <= 0 then 2 else 1)) div 2)
A269716: 1 5 20 88 368 1504 6080 24448 98048 392704 1571840 6289408 25161728 100655104 402636800 1610579968
(if (x mod 2) <= 0 then (if (x mod (2 + 1)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) else 2)
A010149: 8 2 1 2 1 2 16 2 1 2 1 2 16 2 1 2
loop(\(x,i).i,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),((x div ((2 + 2) + 1)) mod 2))
A229878: 0 0 1 0 1 2
A329221: 0 0 1 0 1 2 1 1 2 3 0 1 2 3 4 1
(loop(\(x,i).(x * 2),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),(2 + 1)) div 2)
A131031-A130452: 1 3 1 6 3 1 12 6 3 1 24 12 6 3 1 48
(if x <= 0 then 1 else loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),((x * 2) - 1),2))
A166337: 1 12 280 5544 102960 1847560 32449872 561632400 9617286240 163352435400 2756930576400 46290177201840 773942488394400 12893881856650704 214163336821292320 3547937446945842720
(if (x mod 2) <= 0 then loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),1) else 2)
A081668: 1 2 2 2 6 2 20 2 70 2 252 2 924 2 3432 2
(1 - ((loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) + 1),2,x) + 1) div 2))
A264391-A116598: 1 0 1 1 0 1 1 1 0 1 2 1 1 0 1 2
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0)) mod (x + 1)) div 2)
A319082: 0 0 0 0 1 0 0 2 1 0 0 3 3 1 0 0
loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else (i - (x mod 2)))),x,x)),1,((x + 1) * 2))
A122196-A023117: 1 2 3 1 4 2 5 3 1 6 4 2 7 5 3 1
(0 - loop(\(x,i).loop(\(x,i).(x - (if x <= 0 then 0 else (i - (x mod 2)))),x,x),1,((x + 1) * 2)))
A082375-A025644-A022332: 0 1 2 0 3 1 4 2 0 5 3 1 6 4 2 0
loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,((x * 2) + 1)),1,((x + 1) div 2))
A110560: 1 3 3 5 5 7 7 1 1 11 11 13 13 1 1 17
(((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + x) + (if x <= 0 then 1 else 2))
A231407: 1 4 6
A159475: 1 4 6 6 10 8 14 10 12 12 22 14 26 16 18 18
(loop(\(x,i).(x * 2),(1 - loop(\(x,i).(x - (if (2 - x) <= 0 then (i + 2) else 0)),x,x)),1) div 2)
A140649: 1 0 2 1 0 4 2 1 0 8 4 2 1 0 16 8
(if x <= 0 then 1 else (((loop(\(x,i).((i * x) * 2),x,1) + (if (x - 2) <= 0 then x else 1)) div 2) * 2))
A052576: 1 2 10 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 51011754393600 1428329123020800 42849873690624000
(loop(\(x,i).(x * 2),(x div 2),((if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) div 2) else 2) + 2)) div 2)
A211227: 1 2 3 4 8 8 20 16 48 32 112 64 256 128 576 256
loop(\(x,i).(x * x),2,(loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(x * x),(x div 2),2)) div 2))
A278142: 1 256 1048576 268435456 17592186044416 4503599627370496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 + 1)),x,(if x <= 0 then 1 else loop(\(x,i).((x * x) * x),(x - 1),(2 + 2))))
A152007: 1 1 7 9709 222399981598543 4611686018427387903
(((if x <= 0 then 1 else (x - loop(\(x,i).(x - (if x <= 0 then 2 else (i - 2))),x,x))) + (x * 2)) div 2)
A260466: 0 0 1 3 5 7 10 12 14 16 20 22 24 26 28 32
((loop(\(x,i).(x * x),1,(2 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x))) div 2) div 2)
A128177: 1 2 1 4 2 1 6 4 2 1 9 6 4 2 1 12
(if (x * x) <= 0 then 2 else loop(\(x,i).(x * x),x,(1 - (loop(\(x,i).(i * x),(x * x),2) * 2))))
A120314: 2 9 81450625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 0 else ((if (x mod 2) <= 0 then ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) else 0) + x)) + 2)
A126762-A082048: 2 3 5 5 7 7 11 9 11 11 13 13 17 15 17 17
(loop(\(x,i).(loop(\(x,i).((if (i mod 2) <= 0 then i else 2) + x),i,1) + x),(x + 1),(0 - x)) div 2)
A083462: 1 3 6 11
A003453: 1 3 6 11 17 26 36 50 65 85 106 133 161 196 232 276
(if x <= 0 then 1 else (compr(\x.((x + 1) mod (loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1)),x) * 2))
A087136: 1 2 4 6 10 12 14 22 26 28 30 46 54 58 60 62
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1) mod ((if x <= 0 then 1 else x) * 2))
A053214: 1 0 2 2 6 2 0 2 6 2 16 2 4 2 20 0
loop(\(x,i).((((x div 2) - loop(\(x,i).(0 - x),x,2)) div 2) + loop(\(x,i).(x * 2),i,1)),x,2)
A226308: 2 1 5 10 17 37 74 145 293 586 1169 2341 4682 9361 18725 37450
loop(\(x,i).(x div 2),x,loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 2 else 1) + ((x * 2) * 2)),x,2))
A206927: 2 4 9 18 37 75 150 300 601 1202 2405 4811 9622 19244 38489 76978
((if (x mod 2) <= 0 then loop(\(x,i).((x div 2) + (x * 2)),x,2) else 0) div loop(\(x,i).(x * 2),x,2))
A079977: 1 0 1 0 2 0 3 0 5 0 8 0 13 0 21 0
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(if x <= 0 then 0 else (x + 2)))
A179522: 3 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67
(loop(\(x,i).((x + 2) * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div (x + 2))
A229878: 0 0 1 0 1 2
A166373: 0 0 1 0 1 2 0 0 1 3 0 0 1 2 4 0
(loop(\(x,i).(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1)),2,x) - (x + 2))
A128076: 1 3 2 5 4 3 7 6 5 4 9 8 7 6 5 11
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (((i div 2) + 1) * 2))),x,x) + x),1,(x * 2))
A025643-A025642: 0 1 0 2 1 3 0 2 4 1 3 5 0 2 4 6
(loop(\(x,i).(x * 2),x,(if (x mod 2) <= 0 then 1 else loop(\(x,i).((x + 1) * 2),x,0))) - (x mod 2))
A266516: 1 3 4 111 16 1983 64 32511 256 523263 1024 8384511 4096 134201343 16384 2147418111
(loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,2))
A092880: 1 2 6 26 126 602 2766 12266 52926 223802 932526 3844106 15722526 63936602 258902286 1045109546
loop(\(x,i).(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,((x * 2) + 1)) - x),x,2)
A062042: 2 3 4 7 10 13 16 21 22 25 28 31 36 37 42 47
(x - (loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)) div 2))
A133082: 0 1 2 2 4 5 3 6 8 9 4 8 11 13 14 5
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x)) * 2)
A254408: 0 8 288 7200 156800 3175200 61471872 1154305152 21201523200 382952512800 6826955907200 120427502203008 2105988385632768 36562298361680000 630861905459520000 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),i,2) + x),x,2))
A054114: 1 8 28 98 350 1274 4706 17576 66196 250952 956384 3660540 14061140 54177740 209295260 810375650
loop(\(x,i).(x * 2),compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),2)
A061285: 2 4 8 32 64 256 512 2048 16384 32768 262144 1048576 2097152 8388608 67108864 536870912
(loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (if ((x - 1) mod (2 + 1)) <= 0 then 1 else x)),x,x) + 2)
A177980: 2 3 3 5 3 7 5 3 3 11 7 13 5 3 3 17
(x - ((x - ((if (x - 1) <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else i)),x,x)) + x)) div 2))
A076918: 1 2 2 3 3 4 5 4 5 6 7 6 7 8 9 10
((x + 1) div loop(\(x,i).(x - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),i,x)),x,2))
A164058: 0 2 1 1 0 0 1 0 0 1 0 0 0 0 1 1
loop(\(x,i).(x * 2),x,((if (x - 1) <= 0 then 1 else loop(\(x,i).((i + x) + (x + 2)),x,0)) + x))
A273335: 1 4 48 224 960 3968 16128 65024 261120 1046528 4190208 16769024 67092480 268402688 1073676288 4294836224
compr(\x.((loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).((if x <= 0 then i else x) - 1),x,2) + 1)) - 1),x)
A233524: 0 1 2 4 5 8
A095031: 0 1 2 4 5 8 10
A191986: 0 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (if (x mod ((2 + 1) * 2)) <= 0 then (x div (2 + 1)) else x)))
A131135: 1 2 8 24 64 160 128 896 2048 4608 10240 22528 16384 106496 229376 491520
(if x <= 0 then 1 else loop(\(x,i).((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),(x div (2 + 1)),x))
A103775: 1 1 2 0 1 0 3 0 0 0 0 0 0 0 0 0
(((loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod (i + 1)) <= 0 then 2 else 1))),x,x) * 2) + 1) + x)
A345668: 1 2 1 4 3 6 5 4 3 10 9 12 11 10 9 16
((if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))) + x)
A013634: 2 3 5 8 9 12 13 18 19 20 21 24 25 30 31 32
((if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))) - x)
A013632: 2 1 1 2 1 2 1 4 3 2 1 2 1 4 3 2
compr(\x.(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x,(x - 1))),x)
A176847: 1 3 5 7 11 13 17 19 23 27 29 31 37 41 43 45
((x - loop(\(x,i).(x - (if x <= 0 then 0 else ((if (x - 1) <= 0 then x else i) + 1))),x,(x - 1))) - x)
A332670-A119270: 1 0 1 0 1 1 0 1 2 1 0 1 3 2 1 0
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),x) + (if x <= 0 then 1 else x))
A073432: 1 4 8 12 15 17 21 23 26 30 33 35 38 40 44 46
((loop(\(x,i).(x - (if (x - ((if (x mod 2) <= 0 then 1 else i) + i)) <= 0 then 1 else 0)),x,x) + 1) + x)
A302245: 1 2 3 5 7 8 11 11 15 15 19 19 23 23 27 27
compr(\x.(loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else (if (2 - x) <= 0 then 2 else 1))),x,x) + 1),x)
A320730: 2 5 6 8 10 11 13 14 17 18 20 21 22 23 24 26
(if (x mod 2) <= 0 then ((if (x mod ((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1)) <= 0 then 2 else x) div 2) else x)
A336898: 1 1 1 3 1 5 1 7 1 9 5 11 1 13 7 15
(1 - loop(\(x,i).(x - (if x <= 0 then 2 else (loop(\(x,i).((2 + 1) * x),(i * 2),1) + 1))),x,x))
A262390-A131835: 1 10 11 12 13 14 15 16 17 18 19 100 101 102 103 104
compr(\x.(1 - loop(\(x,i).loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),2,x)),x)
A123998: 1 3 9 15 18 39 48 69 78 99 105 114 135 153 165 168
compr(\x.loop(\(x,i).(if (x - 1) <= 0 then 1 else (loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2)),2,x),x)
A136318: 5 9 10 17 18 20 33 34 36 40 65 66 68 72 80 129
(if x <= 0 then 2 else compr(\x.(1 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x))
A086807: 2 5 13 17 29 37 41 53 61
A002313: 2 5 13 17 29 37 41 53 61 73 89 97 101 109 113 137
compr(\x.(if ((x + 2) mod (2 + 2)) <= 0 then 1 else loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)),x)
A129966: 0 1 3 15 21 28 36 45 55 91 105 120 136 153 171 231
(if (x mod 2) <= 0 then (1 - loop(\(x,i).(((x - (i mod 2)) * 2) * ((2 + 2) + 1)),x,0)) else 0)
A279028: 1 0 101 0 10101 0 1010101 0 101010101 0 10101010101 0 1010101010101 0 101010101010101 0
((x + 1) - (if (x div 2) <= 0 then (x * 2) else (if (x mod ((2 + 2) * (2 + 1))) <= 0 then 1 else 0)))
A333838: 1 0 3 4 5 6 7 8 9 10 11 12 12 14 15 16
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (if (x - (2 + 1)) <= 0 then 1 else 0))
A231408: 1 2 4 6 9
A168434: 1 2 4 6 9 11 15 17 21 27 29 35 39 41 45 51
((if (((x div (2 + 1)) + 1) mod (2 + 2)) <= 0 then 1 else 0) + (if (x mod (2 + 1)) <= 0 then 1 else 0))
A330166-A081602-A077267: 1 0 0 1 0 0 1 0 0 2 1 1 1 0 0 1
(if (x - 1) <= 0 then 1 else (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then (x div (2 + 1)) else 0))
A122698: 1 1 0 1 0 0 0 2 0 0 0 0 0 0 0 5
loop(\(x,i).(i + x),(compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1),0)
A324600: 1 10 21 36 45 55 78 105 120 136 171 210 231 253 300 325
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((x + 2) * 2) * ((2 + 2) + 1)),(x + 1),0))
A192370: 20 880 35520 1422080 56888320 2275553280 91022213120 3640888852480 145635555409920 5825422221639680 233016888886558720 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(1 - loop(\(x,i).((((x * 2) - 1) * 2) * (2 + 1)),(x + 1),0)))
A127861: 49 6241 889249 127938721 18421818529 2652725580961 381992288212129 55006887157191841 4611686018427387903 4611686018427387903
loop(\(x,i).(((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + x) + ((x * 2) * 2)),(x + 1),0)
A037570: 2 11 57 287 1436 7182 35912 179561 897807 4489037 22445186 112225932 561129662 2805648311 14028241557 70141207787
loop(\(x,i).(loop(\(x,i).((((i * i) * i) * ((i * i) * i)) * x),i,1) + x),(x + 1),0)
A289946: 1 65 46721 191149697 2986175149697 139317055679149697 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)) else 1) + (if x <= 0 then 1 else 0))
A267319: 46 1 45 1 45 1 45 1 45 1 45 1 45 1 45 1
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),1) + (if x <= 0 then 1 else 0))
A230585: 3 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790
(1 - (if x <= 0 then 1 else (if ((x + 1) mod (((x mod ((2 + 2) + 1)) * 2) + 1)) <= 0 then 2 else 0)))
A011621-A011592: 0 1 1 1 1 ~1 1 1 1 1 ~1 ~1 1 ~1 1 ~1
((if x <= 0 then 0 else 1) - (if ((((x * x) * x) + 1) mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 0))
A011610: 0 1 1 ~1 1 ~1 ~1 1 1 1 ~1 1 ~1 ~1 1 1
(2 - (if x <= 0 then 1 else (if ((x + 1) mod ((((2 - x) mod (2 + 1)) * 2) + 1)) <= 0 then 2 else 0)))
A329491: 1 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2
(if x <= 0 then 0 else (1 - (if (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1)) <= 0 then 2 else 0)))
A011616: 0 1 1 1 1 ~1 1 1 1 1 ~1 1 1 ~1 1 ~1
(if x <= 0 then 1 else (if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then (((x * 2) + 1) * 2) else 0))
A023934: 1 0 0 0 0 0 0 0 0 0 0 46 0 0 0 0
(if x <= 0 then 1 else (if ((x + 1) mod (((((2 - x) div 2) mod (x + 1)) mod 2) + 2)) <= 0 then 2 else 0))
A036274: 1 2 0 0 0 2 0 0 0 2 0 2 0 2 2 0
(1 - (if x <= 0 then 1 else (if ((x + 1) mod ((x mod (((x div 2) + 2) + 2)) + 2)) <= 0 then 2 else 0)))
A165596-A011620: 0 1 1 1 1 1 1 ~1 1 1 1 ~1 1 1 ~1 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) + (if (x mod 2) <= 0 then 2 else 0))
A014686: 3 2 6 6 12 12 18 18 24 28 32 36 42 42 48 52
loop(\(x,i).((i * i) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),0)
A262247: 5 14 55 140 506 819 1785 2470 4324 8555 10416 17575 23821 27434 35720 51039
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).(((x * 2) * (2 + 1)) + 2),(x * 2),0))
A165028: 0 126 41958
loop(\(x,i).((x + 2) * x),1,loop(\(x,i).((((x * 2) + 1) * ((2 + 2) + 1)) + 1),x,0))
A098209: 0 48 4488 444888 44448888 4444488888 444444888888 44444448888888 4444444488888888 444444444888888888 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,0))
A181718: 0 12 1122 111222 11112222 1111122222 111111222222 11111112222222 1111111122222222 111111111222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x + 2) * x),1,loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),x,0))
A098210: 0 15 1155 111555 11115555 1111155555 111111555555 11111115555555 1111111155555555 111111111555555555 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155595: 1 12 124 1338 14656 161082 1771624 19487298 214359136 2357948202 25937425624 285311672658 3138428380816 34522712152122 379749833599624 4177248169448418
loop(\(x,i).(((x + 1) * x) + 1),1,loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A212156: 1 31 2257 116623 5757601 282424831 13840934257 678220602223 33232913275201 1628413476849631 79792265450186257 3909821042651007823 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155618: 1 10 64 406 2656 17830 121744 839926 5830336 40615750 283523824 1981521046 13858064416 96956119270 678491508304 4748635251766
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155605: 1 9 57 369 2481 17049 118377 825729 5771361 40373289 282534297 1977503889 13841818641 96890604729 678227855817 4747575858849
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),(i - 1),1) - ((x * 2) * (2 + 1))),x,0)
A080921-A053455: 0 1 2 52 200 2896 15392 169792 1078400 10306816 72376832 639480832 4753049600 40201179136 308548739072 2546754076672
loop(\(x,i).((x * 2) * (2 + 1)),(x - 1),loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0))
A099138: 0 1 6 108 1080 14256 163296 2006208 23794560 287214336 3436494336 41298398208 495217981440 5944792559616 71324450021376 855971764420608
loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0))
A091903: 0 1 5 75 625 6875 65625 671875 6640625 66796875 666015625 6669921875 66650390625 666748046875 6666259765625 66668701171875
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,0))
A155622: 1 10 118 1324 14626 161020 1771498 19487044 214358626 2357947180 25937423578 285311668564 3138428372626 34522712135740 379749833566858 4177248169382884
loop(\(x,i).((loop(\(x,i).(x mod 2),(x mod 2),(x div (((2 + 1) * 2) + 1))) + x) + 1),x,0)
A084689: 0 1 2 3 4 5 6 7 9
A246885: 0 1 2 3 4 5 6 7 9 11 13 15 16 19 20 23
(loop(\(x,i).(((2 + 1) * x) - 1),x,0) - loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,0))
A007798: 0 0 2 18 116 660 3542 18438 94376 478440 2411882 12118458 60769436 304378620 1523487422 7622220078
loop(\(x,i).((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1) + x) - 1),x,0)
A284968: 0 1 5 18 59 190 618 2047 6908 23703 82488 290499 1033398 3707837 13402681 48760350
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) * 2) + loop(\(x,i).((x + 1) * 2),x,0))
A183977: 4 8 14 26 46 86 158 302 574 1118 2174 4286 8446 16766 33278 66302
loop(\(x,i).(if x <= 0 then 1 else (x - ((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)))),x,0)
A194242: 0 1 2 3 5 7 10 14 18 23 28 33 39 45 51 58
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),1) + ((((x * 2) * 2) * 2) * 2)),x,0)
A180845: 0 1 19 313 5035 80641 1290499 20648713 330381595 5286112081 84577812979 1353245066713 21651921244555 346430740444321 5542891848703459 88686269584038313
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A155636: 1 13 105 853 7185 62173 547065 4861093 43437345 389373613 3496550025 31429887733 282673677105 2543086531453 22882895970585 205921649672773
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A155633: 1 10 60 340 1920 10900 62280 358060 2070240 12030820 70231800 411625180 2420922960 14281397140 84467679720 500702562700
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A155635: 1 12 88 636 4720 35892 277768 2175276 17167840 136170852 1083507448 8638762716 68963617360 550976517012 4404150026728 35214889666956
loop(\(x,i).((loop(\(x,i).(((2 + 2) + 1) * x),(i - 1),1) + x) - ((x * 2) * 2)),x,0)
A079773: 0 1 2 19 68 421 1862 10039 48008 246601 1213322 6125659 30451148 152787181 762341582 3816490879
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155608: 1 12 108 1026 10080 100242 1000728 10002186 100006560 1000019682 10000059048 100000177146 1000000531440 10000001594322 100000004782968 1000000014348906
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155615: 1 8 92 974 9920 99758 999272 9997814 99993440 999980318 9999940952 99999822854 999999468560 9999998405678 99999995217032 999999985651094
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155612: 1 5 41 317 2321 16565 116921 821357 5758241 40333925 282416201 1977149597 13840755761 96887416085 678218289881 4747547161037
(1 - loop(\(x,i).((x - 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),0))
A241676: 1 5 29 125 2045 8189 131069 524285 8388605 536870909 2147483645 137438953469 2199023255549 8796093022205 140737488355325 9007199254740989
loop(\(x,i).((if (x mod (((((x + 1) div 2) div 2) mod 2) + 2)) <= 0 then 1 else 2) + (x * 2)),x,0)
A329361: 0 1 4 10 21 43 88 177 356 714 1429 2860 5722 11445 22891 45784
(if (x - 2) <= 0 then (x - (((x mod 2) * 2) - 1)) else loop(\(x,i).((i mod 2) + (x * 2)),x,0))
A284237: 1 0 3 5 10 21 42 85 170 341 682 1365 2730 5461 10922 21845
loop(\(x,i).((loop(\(x,i).((((i * 2) - 1) * i) + (x * 2)),i,0) + x) + (x * 2)),x,0)
A285361: 0 1 11 64 282 1071 3729 12310 39296 122773 378279 1154988 3505542 10598107 31957661 96200098
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0))
A155642: 1 5 57 605 5937 55925 515817 4704845 42656097 385467365 3477018777 31332231485 282185395857 2540645125205 22870688939337 205860614516525
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0))
A155639: 1 2 12 92 672 4652 31032 201812 1288992 8124572 50700552 313968932 1932641712 11839990892 72260648472 439667406452
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0))
A155641: 1 4 40 388 3472 29644 246520 2019028 16386592 132264604 1063976200 8541106468 68475336112 548535110764 4391942995480 35153854510708
loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).(((((i + 1) * i) div 2) * (i + 1)) + x),x,0))
A084399: 0 2 22 140 680 2800 10304 34944 111360 337920 985600 2782208 7641088
A067057: 0 2 22 140 680 2800 10304 34944 111360 337920 985600 2782208 7641088 20500480 53903360 139264000
loop(\(x,i).(loop(\(x,i).((x - (((1 - x) * (2 + 2)) * (2 + 1))) * x),1,i) + x),x,0)
A256648: 0 1 29 110 270 535 931 1484 2220 3165 4345 5786 7514 9555 11935 14680
loop(\(x,i).(loop(\(x,i).((x - (((1 - x) * (x * 2)) * (2 + 1))) * x),1,i) + x),x,0)
A172075: 0 1 29 146 450 1075 2191 4004 6756 10725 16225 23606 33254 45591 61075 80200
((if x <= 0 then 1 else (if ((x - 1) mod ((x mod (((2 + 1) * 2) + 1)) + 1)) <= 0 then 2 else 0)) - 1)
A103131: 0 1 ~1 ~1 ~1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 ~1 1 1
((if x <= 0 then 1 else (if ((x + 1) mod ((((1 - x) mod (2 + 1)) * 2) + 1)) <= 0 then 2 else 0)) - 1)
A330035: 0 1 ~1 ~1 1 ~1 ~1 1 ~1 ~1 1 ~1 ~1 1 1 ~1
(if x <= 0 then 0 else ((if (x mod (2 + 1)) <= 0 then ((((x mod 2) * x) div 2) mod (2 + 2)) else 0) + 1))
A092931: 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 4
(loop(\(x,i).((if ((x div (2 + 1)) mod 2) <= 0 then 1 else (x * 2)) * ((x * 2) + 1)),x,0) + 1)
A018317: 1 2 4 43 86 172
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),loop(\(x,i).((x * 2) + 1),x,0),1)
A069954: 1 3 35 6435 300540195 916312070471295267 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),loop(\(x,i).((x * 2) + 1),x,0),1)
A038003: 1 1 5 429 9694845 14544636039226909 4611686018427387903 4611686018427387903
(loop(\(x,i).((((if (x mod ((i * 2) - 1)) <= 0 then (x * 2) else 1) + 1) * x) + 1),x,0) + 1)
A222011: 1 2 4 8
A018686: 1 2 4 8 107 214 428 856
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),loop(\(x,i).((x + 1) * 2),x,0),1)
A135759: 1 2 132 2674440 3814986502092304 4611686018427387903 4611686018427387903
(loop(\(x,i).(if x <= 0 then 2 else (((x * 2) * 2) - (((x div (2 + 2)) + 2) + 2))),x,0) + 1)
A307142: 1 3 5 12 39 140
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).((x + 2) * 2),x,0)) + 1)
A159217: 3 8 17 35 69 137 269 533 1053 2093 4157 8285 16509 32957 65789 131453
(((loop(\(x,i).((x * 2) * 2),x,2) + 1) * loop(\(x,i).(((2 + 1) * x) + 2),x,0)) + 1)
A017161: 1 19 265 3355 41041 495859 5964505 71633035 859838881 10319056099 123832690345 1486008529915 17832167873521 213986278134739 2567836397009785 30814041016037995
(loop(\(x,i).((x + 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),0) - 1)
A241678: ~1 3 27 123 2043 8187 131067 524283 8388603 536870907 2147483643 137438953467 2199023255547 8796093022203 140737488355323 9007199254740987
((if ((x + 1) mod (((x * x) mod ((2 + 2) + 1)) + 2)) <= 0 then 2 else 1) + (if x <= 0 then 0 else 1))
A183024: 1 2 2 2 2 3 2 2 2 2 2 3 2 2 3 3
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * 2) + 1)) - (if x <= 0 then 0 else 1))
A109002: 9 89 899 8999 89999 899999 8999999 89999999 899999999 8999999999 89999999999 899999999999 8999999999999 89999999999999 899999999999999
loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),(x - 1),(if x <= 0 then 0 else 1))
A052701: 0 1 2 8 40 224 1344 8448 54912 366080 2489344 17199104 120393728 852017152 6085836800 43818024960
((if (x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2) + (if x <= 0 then 0 else 1))
A196941: 1 2 2 2 2 3 2 2 2 3 2 3 3 3 2 2
((if (x mod (((((x - 1) div 2) mod (2 + 2)) * 2) + 1)) <= 0 then 1 else 2) + (if x <= 0 then 0 else 1))
A091322: 1 2 2 2 3 2 3 2 3 2 2 3 2 3 3 3
(((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 2 else x) div 2) + (if x <= 0 then 0 else 1))
A334868-A305979: 1 2 2 2 2 3 2 4 2 5 2 6 2 7 8 2
(loop(\(x,i).((x * 2) div (i + 1)),x,loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0)) + 1)
A088645: 1 5 17 42 84 139 199 249 276 276 251 209 161 115 77 48
(((x div 2) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 0) + 1)) + 1)
A325352-A305438-A260739: 1 1 1 2 1 3 1 4 2 5 1 6 1 7 3 8
(if (2 - x) <= 0 then (((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 2) * (2 + 1)) + 1) else 1)
A106705: 1 1 7 7 7 7 7 7 7 7 1 7 7 7 7 7
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((x * x) * 2) + 1),((x * 2) + 1),1)) - 1)
A219013: 11 523451 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1)) - 1)
A171375: 5 131 10301 1003001 100030001 10000300001 1000003000001 100000030000001 10000000300000001 1000000003000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) - 1),1) + 1)
A283107: 2 5 17 257 1025 16385 65537 1048577 67108865 268435457 17179869185 274877906945 1099511627777 17592186044417 1125899906842625 72057594037927937
loop(\(x,i).(x * 2),((loop(\(x,i).((((i mod 2) + x) * 2) + 1),x,0) div (x + 1)) - 1),1)
A255133: 1 1 2 8 64 2048 1048576 68719476736 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * 2),1,((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) + 1)) - 1)
A157506: 13447 53137 119071 211249 329671 474337 645247 842401 1065799 1315441 1591327 1893457 2221831 2576449 2957311 3364417
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1)) - 1)
A086695: 89 9899 998999 99989999 9999899999 999998999999 99999989999999 9999999899999999 999999998999999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod (2 + 1)) <= 0 then 1 else 2) div loop(\(x,i).i,((x + 1) mod (((2 + 1) * 2) + 1)),1))
A219479: 1 1 0 0 0 0 1 2 1 0 0 0 0 2 2 0
((x div ((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,2) - 1) mod (x + 1)) + 2) + 1)) + 1)
A152977-A048887: 1 1 1 1 2 1 1 2 3 1 1 2 4 5 1 1
((x + 1) div ((if (x - 1) <= 0 then x else (((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)) + 1))
A112218: 1 1 0 1 0 1 1 1 1 2 1 2 3 2 2 4
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) + 1)) + 1)
A076110: 1 1 2 1 3 5 1 4 7 10 1 5 9 13 17 1
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) + 1)) - 1)
A144204: ~1 ~1 0 ~1 1 3 ~1 2 5 8 ~1 3 7 11 15 ~1
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) - 1)) + 1)
A159798: 1 1 0 1 1 1 1 2 3 4 1 3 5 7 9 1
((if x <= 0 then 0 else loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * 2) + 1))) + 1)
A085952: 1 91 901 9001 90001 900001 9000001 90000001 900000001 9000000001 90000000001 900000000001 9000000000001 90000000000001 900000000000001 9000000000000001
(loop(\(x,i).(x * 2),x,(2 + 1)) - loop(\(x,i).(x * 2),((x + 1) mod ((2 + 2) + 1)),1))
A222011: 1 2 4 8
A018422: 1 2 4 8 47 94 188 376
((loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then i else 1) + x),x,1) div ((2 + 2) + 1)) + 1)
A087848-A087844: 1 1 1 2 3 4 4 4 4 5 5 5 5 5 6 6
((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,x) div ((2 + 2) + 1)) + 1)
A323228: 1 2 7 22 57 127 253 463 793 1288 2003 3004 4369 6189 8569 11629
(if (x mod ((2 + 2) + 1)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * (2 + 1)) else 1)
A040327: 18 1 1 1 1 36 1 1 1 1 36 1 1 1 1 36
(((loop(\(x,i).(((x * 2) * 2) - (if x <= 0 then 0 else 1)),(2 + 1),x) + 1) div (2 + 1)) - 1)
A063300: ~1 13 35 56 77 99 120 141 163 184 205 227 248 269 291 312
loop(\(x,i).(x * 2),((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)),1)
A156074-A051287: 1 1 1 1 2 1 1 2 2 1 1 4 4 4 1 1
(((((loop(\(x,i).loop(\(x,i).((x + 1) * x),x,2),x,0) + 2) + 1) * 2) * (2 + 1)) - 1)
A274023: 17 29 269 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016978: 9765625 25937424601 2015993900449 41426511213649 420707233300201 2758547353515625 13422659310152401 52599132235830049 174887470365513049 511116753300641401 1346274334462890625 3255243551009881201
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016980: 244140625 3138428376721 582622237229761 21914624432020321 353814783205469041 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017542: 1 137858491849 95367431640625 4808584372417849 79792266297612001 713342911662882601 4297625829703557649 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017544: 1 23298085122481 59604644775390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else ((((loop(\(x,i).((i + 2) * x),(x - 2),1) + x) * 2) * (2 + 1)) + 1))
A020601: 2 13 19 37 97
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (loop(\(x,i).((x + 1) * x),2,(2 + 1)) + 1))
A036149: 1 5 25 125 154 142 82 96 9 45 68 26 130 22 110 79
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) * (2 + 1)) + 1))
A016931: 1 1977326743 1792160394037 116490258898219 2384185791015625 25408476896404831 177917621779460413 929293739471222707 3909821048582988049 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),(2 + 1),x) mod (2 + 1)) + 1)
A104232: 1 1 2 1 2 2 3 1 2 2 3 2 3 3 2 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017182: 1 10000000000 6131066257801 296196766695424 4808584372417849 42420747482776576 253295162119140625 1152921504606846976 4297625829703557649 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017184: 1 1000000000000 2213314919066161 232218265089212416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(((loop(\(x,i).(x * 2),x,2) div (x + 1)) + x) div (2 + 1)),1)
A010099: 1 4 4 16 64 1024 65536 67108864 4398046511104 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then x else (2 + 1)) + 1))
A093837: 1 4 9 16 25 36 49 64 81 100 121 16 169 196 225 256
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) * (2 + 1)) + 1)
A191107: 1 4 10 13 28 31 37 40 82 85 91 94 109 112 118 121
((compr(\x.loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,x),x) * (2 + 1)) + 1)
A259566: 1 4 7 13 16 22 25 40 43 49 52 67 70 76 79 121
((x div (loop(\(x,i).(x mod 2),(x mod 2),(if ((x mod (2 + 1)) - 1) <= 0 then x else 2)) + 1)) + 1)
A189733: 1 1 1 2 1 6 1 4 3 5 1 12 1 7 5 8
(1 - (x div ((0 - (if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1)) - 1)))
A325564-A323888: 1 2 2 3 2 4 2 5 4 6 2 7 2 8 6 9
(((x * 2) + 1) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))
A244149: 1 1 1 3 1 5 1 7 5 9 1 11 1 13 9 15
(loop(\(x,i).(i * x),((((x div 2) * (x div 2)) div 2) + (if x <= 0 then 1 else (x * 2))),1) + 1)
A060371: 2 3 25 721 3628801 479001601 20922789888001 6402373705728001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),((x * 2) + 1),1)
A196790: 11 286 3003 19448 92378 352716 1144066 3268760 8436285 20030010 44352165 92561040 183579396 348330136 635745396 1121099408
((loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) - 1)) - (1 div ((x * 2) - 1))) - 1)
A267685: 1 4 27 119 495 2015 8127 32639 130815 523775 2096127 8386559 33550335 134209535 536854527 2147450879
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) + 1)
A074522: 3 16 118 946 7858 66826 578098 5062906 44726338 397498186 3547250578 31743856666 284606318818 2554926522346 22955156619058 206361317079226
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) - 1)
A155647: 1 14 116 944 7856 66824 578096 5062904 44726336 397498184 3547250576 31743856664 284606318816 2554926522344 22955156619056 206361317079224
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) + 1)
A074525: 3 18 146 1242 10658 91818 793586 6880122 59823938 521638218 4560526226 39970994202 351149013218 3091621642218 27274838966066 241075504183482
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) - 1)
A155663: 1 16 144 1240 10656 91816 793584 6880120 59823936 521638216 4560526224 39970994200 351149013216 3091621642216 27274838966064 241075504183480
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) + 1)
A074519: 3 15 107 855 7187 62175 547067 4861095 43437347 389373615 3496550027 31429887735 282673677107 2543086531455 22882895970587 205921649672775
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x + 1) * 2),(x div 2),((x mod 2) + 1))) - 1)
A033622: 1 5 19 41 109 209 505 929 2161 3905 8929 16001 36289 64769 146305 260609
((loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A155652: 1 4 46 514 5266 51274 484786 4503034 41367106 377342794 3426318226 31018262554 280252754146 2528805134314 22798428290866 205420947110074
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A074521: 3 15 101 729 5393 40545 308801 2377089 18456833 144295425 1134208001 8952731649 70896259073 562816507905 4476410675201 35654557073409
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) - 1)
A155646: 1 13 99 727 5391 40543 308799 2377087 18456831 144295423 1134207999 8952731647 70896259071 562816507903 4476410675199 35654557073407
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A155651: 1 3 29 297 2801 24993 215489 1817217 15097601 124140033 1013275649 8227137537 66542694401 536695119873 4319682347009 34714187104257
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A074516: 3 12 62 342 1922 10902 62282 358062 2070242 12030822 70231802 411625182 2420922962 14281397142 84467679722 500702562702
(loop(\(x,i).((x - ((1 - loop(\(x,i).((x * x) - 1),x,2)) div (x + 1))) * 2),x,1) + 1)
A101341: 2 5 1597 4611686018427387903
((loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + 1)
A155666: 1 2 18 218 2466 26282 269298 2685818 26269506 253202762 2413042578 22791125018 213710059746 1992110014442 18478745943858 170706760005818
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + 1)
A074518: 3 14 90 638 4722 35894 277770 2175278 17167842 136170854 1083507450 8638762718 68963617362 550976517014 4404150026730 35214889666958
(loop(\(x,i).(((x + 2) * x) * ((x + 2) + 1)),1,loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A020533: 13 169 5473 283009 17106433 1078990849 68803387393 4399388786689 281496451940353 18014742108438529 1152927002171277313 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),((2 + 1) * x),1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A283716: 3 32 746 19748 531698 14349932 387424586 10460369588 282429602018 7625597747132 205891133143226 5559060570749828 150094635313776338 4052555153086085132 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) - 1)
A155621: 1 13 115 1063 10255 101023 1004095 10016383 100065535 1000262143 10001048575 100004194303 1000016777215 10000067108863 100000268435455 1000001073741823
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A155631: 1 7 85 937 9745 98977 995905 9983617 99934465 999737857 9998951425 99995805697 999983222785 9999932891137 99999731564545 999998926258177
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A074513: 3 12 66 408 2658 17832 121746 839928 5830338 40615752 283523826 1981521048 13858064418 96956119272 678491508306 4748635251768
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A155628: 1 4 34 280 2146 15784 113554 807160 5699266 40091464 281426674 1973132440 13824509986 96821901544 677954637394 4746487768120
(loop(\(x,i).(((x + 2) + 2) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A225810: 6 141 10401 1004001 100040001 10000400001 1000004000001 100000040000001 10000000400000001 1000000004000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x div (2 + 1)),(x + 1),loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A050624: 1 2 4 13 42 138 458 1525 5081 16936 56451 188168 627226 2090752 6969172 23230574
loop(\(x,i).((i * i) * x),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1),1)
A177926: 1 4 576 518400 13168189440000 229442532802560000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),1) + 1)
A139160: 2 4 61 2521 19958401 3113510401 177843714048001 60822550204416001 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),1) - 1)
A139190: 0 2 59 2519 19958399 3113510399 177843714047999 60822550204415999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1) - 1)
A139293: 0 3 63 1023 262143 4194303 1073741823 17179869183 4398046511103 18014398509481983 288230376151711743 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * 2) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1)
A119959: 3 7 21 43 111 157 273 343 507 813 931 1333 1641 1807 2163 2757
(((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 2) + loop(\(x,i).(x * 2),x,1)) + 1)
A100602: 6 8 11 17
A183979: 6 8 11 17 27 47 83 155 291 563 1091 2147 4227 8387 16643 33155
loop(\(x,i).(i * x),((x - ((loop(\(x,i).(i * x),x,1) mod (x + 1)) - 1)) * (x + 1)),1)
A184391: 1 2 6 40320 120 4611686018427387903 5040 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((((((2 + 2) + 1) * x) - 1) * 2) - 1),(x + 1),1))
A109344: 49 4489 444889 44448889 4444488889 444444888889 44444448888889 4444444488888889 444444444888888889 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((if (x mod (i + 2)) <= 0 then x else 0) + x),x,(2 + 2)) + 1) * (x + 1)) + 1)
A087737: 6 11 28 37 46 55 120 137 154 171 188 205 222 239 496 529
((x + 1) div loop(\(x,i).(x * 2),((loop(\(x,i).(x * x),2,(2 + 1)) + 2) mod (x + 1)),1))
A219480: 1 1 0 0 0 0 0 1 2 1 0 0 0 0 0 2
(x div (((loop(\(x,i).(x * 2),x,loop(\(x,i).((i * x) + 1),x,1)) - 2) mod (x + 1)) + 1))
A300396-A300360-A300356: 0 1 2 1 1 1 2 1 2 1 2 3 1 1 3 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017158: 282475249 576650390625 41426511213649 819628286980801 8140406085191601 52599132235830049 253295162119140625 984930291881790849 3255243551009881201 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017160: 13841287201 129746337890625 21914624432020321 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((2 + 2) * (x + 1)) - 1))
A016847: 177147 1977326743 285311670611 8649755859375 116490258898219 952809757913927 5559060566555523 25408476896404831 96549157373046875 317475837322472439 929293739471222707 2472159215084012303 4611686018427387903 4611686018427387903
((((2 + 2) + 1) * x) mod loop(\(x,i).i,(loop(\(x,i).((x + 2) * x),2,2) mod (x + 1)),1))
A277815: 0 0 0 0 0 1 0 0 0 0 2 7 0 5 0 0
((if x <= 0 then 1 else x) div ((loop(\(x,i).((x + 1) * 2),x,((x mod 2) * 2)) mod (x + 1)) + 1))
A326060: 1 1 2 1 4 5 6 1 1 1 10 1 12 1 2 1
((loop(\(x,i).((x * 2) + 1),x,(if ((x + 1) mod (2 + 1)) <= 0 then x else 2)) mod (x + 1)) + 1)
A097272: 1 2 3 4 3 6 3 8 9 6 3 12 3 6 15 16
(loop(\(x,i).(x * 2),x,2) div ((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A075101: 2 2 8 4 32 32 128 32 512 512 2048 1024 8192 8192 32768 4096
loop(\(x,i).((2 + 1) * x),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A156180: 1 6 9 108 81 486 729 17496 6561 39366 59049 708588 531441 3188646 4782969 229582512
loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1))
A060150: 1 1 9 100 1225 15876 213444 2944656 41409225 590976100 8533694884 124408576656 1828114918084 27043120090000 402335398890000 6015361252737600
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1))
A192225: 0 1 2 5
A045621: 0 1 2 5 10 22 44 93 186 386 772 1586 3172 6476 12952 26333
loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + 1) * x),(x - 1),1)
A015511: 1 1 11 1012 830852 6133349464 407444538242984 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + 1) * x),(x - 1),1)
A015512: 1 1 12 1344 1494528 16607195136 1845258665951232 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + 1) * x),(x - 1),1)
A015508: 1 1 9 522 209322 586520244 11501075464596 1578614616119517768 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) - 2) * x),(x - 1),1)
A059863: 1 1 1 3 21 189 2457 36855 700245 17506125 472665375 15597957375 577124422875 22507852492125 967837657161375 47424045200907375
loop(\(x,i).(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,i) + x),(x - 1),1)
A279561: 1 1 2 6 21 77 287 1079 4082 15522 59280 227240 873886 3370030 13027730 50469890
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A074509: 3 11 59 371 2483 17051 118379 825731 5771363 40373291 282534299 1977503891 13841818643 96890604731 678227855819 4747575858851
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1) + 1)
A201363: 2 3 7
A006862: 2 3 7 31 211 2311 30031 510511 9699691 223092871 6469693231 200560490131 7420738134811 304250263527211 13082761331670031 614889782588491411
((if (x mod 2) <= 0 then x else (0 - x)) mod ((if (x mod (((x div 2) + 2) + 2)) <= 0 then 0 else 2) + 1))
A163537: 0 2 2 0 1 1 0 0 0 0 1 1 0 2 2 0
((loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) + i),(2 + 1),x),x,0) div 2) + 1)
A102967: 1 42 5022
((loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - x),x,0) * 2) + 1)
A086530: 1 3 3 7 7 15 11 23 15 31 27 35 39 43 43 51
(((if x <= 0 then 2 else (if (x mod (2 + 2)) <= 0 then ((x * 2) mod ((2 + 2) + 1)) else 1)) * 2) - 1)
A204120: 3 1 1 1 5 1 1 1 1 1 1 1 7 1 1 1
((((loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,2)) div (2 + 1)) + 1) * 2) + 1)
A192465: 3 9 25 93 353 1389 5505 21933 87553 349869 1398785 5593773 22372353 89483949 357924865 1431677613
((((if x <= 0 then 0 else (loop(\(x,i).(i * x),(x div 2),1) div ((x mod 2) + 1))) + 1) div 2) + 1)
A204596: 1 1 2 1 2 2 4 3 13
(x - ((if x <= 0 then 0 else ((x + 1) mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2))) - 1))
A057144: 1 2 2 4 4 6 6 6 6 6 6 12 12 12 12 12
((((x + 2) div (((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1) * 2) + 1)) * 2) + 1)
A113759: 1 1 3 1 3 5 1 3 5 7 1 3 5 7 11 1
(if x <= 0 then 0 else (if ((x mod ((2 + 2) + 1)) mod ((((x div 2) mod 2) + 2) + 1)) <= 0 then 2 else 1))
A115623-A103921: 0 1 1 1 1 2 1 1 2 1 2 1 1 2 2 2
(loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x * x) * x),x,(((2 + 2) + 1) * 2))) + 1)
A216347: 11 3001 9000000001 4611686018427387903
((loop(\(x,i).((x - 1) * 2),x,(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) - 1)) * 2) + 1)
A291537: 7 57 493 4053 32677 261957 2096773 16776453 134216197 1073738757 8589928453 68719464453 549755789317 4398046461957 35184371990533 281474976514053
loop(\(x,i).(x mod 2),(x div 2),(if x <= 0 then 0 else (((x div ((x mod (2 + 2)) + 1)) + 2) + 1)))
A176851: 0 3 1 1 1 1 1 0 1 1 0 1 1 1 1 0
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017110: 59049 25937424601 6131066257801 205891132094649 2758547353515625 21611482313284249 119042423827613001 511116753300641401 1822837804551761449 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017112: 531441 3138428376721 2213314919066161 150094635296999121 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),x,((loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1)) + 2) + 1))
A029697: 6 120 3936 140160 5039616 181401600 6530359296 235092541440 8463329918976 304679870791680 10968475323334656 394865111539384320 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if ((x div 2) mod 2) <= 0 then 1 else (1 - ((x mod 2) - (if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1))))
A072909: 1 1 2 1 1 1 3 2 1 1 2 1 1 1 2 1
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((x + 1) * 2),x,2)) + (((2 + 1) * 2) + 1))
A289999: 13 49 217 937 3913 16009 64777 260617 1045513 4188169 16764937 67084297 268386313 1073643529 4294770697 17179475977
loop(\(x,i).loop(\(x,i).(x * x),2,(((x * x) * x) * (x * x))),x,(((2 + 1) * 2) + 1))
A067485: 7 79792266297612001 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,((x * 2) + 1)) * 2) - 1)
A264527: 1 1 5 7 7 9 13 13 17 19 19 21 25 23 29 27
((loop(\(x,i).(((if (x mod (i + 1)) <= 0 then 0 else x) + ((2 + 1) * x)) - 1),x,1) div 2) + 1)
A334811: 1 2 5 12 46 182 726
loop(\(x,i).(x * x),(x - 2),loop(\(x,i).(x * 2),(((((x div 2) mod 2) + x) + 1) div 2),1))
A114641: 1 2 4 16 256 16777216 4611686018427387903
(((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((2 - (i mod 2)) * 2),x,1)) * 2) + 1)
A267780: 1 5 25 125 505 2045 8185 32765 131065 524285 2097145 8388605 33554425 134217725 536870905 2147483645
(((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,1)) div 2) + 1)
A257418: 2 3 5 8 13 23 41 77 145 281 545 1073 2113 4193 8321 16577
(loop(\(x,i).(x * x),1,loop(\(x,i).((1 - x) * (2 + 1)),x,1)) div (((x + 1) * 2) + 1))
A215701: 0 0 1 4 40 276
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(((i mod 2) + (x * 2)) - 1),((x + 1) div 2),1))
A289764: 1 2 6 13 29 58 122 245 501 1002 2026 4053 8149 16298 32682 65365
((((1 - loop(\(x,i).(x - (if (i - x) <= 0 then (i + 1) else 0)),x,x)) mod (x + 1)) div 2) + 1)
A319421-A092479: 1 1 1 1 2 1 1 4 2 1 1 6 6 2 1 1
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(i + 2),1) + x),((x - 1) * 2),1)
A267777: 1 1 11001 1111001 111111001 11111111001 1111111111001 111111111111001 11111111111111001 1111111111111111001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then (((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040869: 29 1 58 1 58 1 58 1 58 1 58 1 58 1 58 1
(if (x mod (2 + 2)) <= 0 then (((((2 + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040536: 23 1 1 1 46 1 1 1 46 1 1 1 46 1 1 1
(if (x mod ((2 + 2) + 1)) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010227: 13 1 1 1 1 26 1 1 1 1 26 1 1 1 1 26
(if (x mod ((2 + 2) * 2)) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A010194: 11 1 1 1 1 1 1 1 22 1 1 1 1 1 1 1
(if (x mod 2) <= 0 then (((((2 - x) mod (2 + 2)) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040052: 7 1 2 1 14 1 2 1 14 1 2 1 14 1 2 1
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then ((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010143: 7 1 1 1 1 1 1 14 1 1 1 1 1 1 14 1
(if (x mod 2) <= 0 then ((((((2 - x) mod (2 + 2)) * 2) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010166: 9 1 2 1 18 1 2 1 18 1 2 1 18 1 2 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * (2 + 2)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A010200: 11 1 6 1 22 1 6 1 22 1 6 1 22 1 6 1
(if (x mod (2 + 2)) <= 0 then (((((2 + 2) * (2 + 1)) + 1) * 2) * (if x <= 0 then 1 else 2)) else 1)
A040684: 26 1 1 1 52 1 1 1 52 1 1 1 52 1 1 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * (2 + 1)) + 2) * (if x <= 0 then 1 else 2)) else 1)
A010201: 11 1 10 1 22 1 10 1 22 1 10 1 22 1 10 1
((((2 + 2) * 2) * (x + 1)) - (if (x mod ((2 + 2) * 2)) <= 0 then (if x <= 0 then 1 else 2) else 1))
A189754: 7 15 23 31 39 47 55 63 70 79 87 95 103 111 119 127
(((compr(\x.loop(\(x,i).loop(\(x,i).(x div ((x mod 2) + 1)),x,(x + 1)),2,x),x) + 1) * 2) + 1)
A190620: 5 11 13 23 27 29 47 55 59 61 95 111 119 123 125 191
((loop(\(x,i).((((if (x mod 2) <= 0 then (x div 2) else 1) div (2 + 1)) + x) + x),x,1) * 2) - 1)
A269560: 1 3 7 15 33 67 145
((loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then ((x * x) * x) else 1) + x) + x),x,1) div 2) + 1)
A018608: 1 2 4 179 358 716
((loop(\(x,i).(((loop(\(x,i).(x - ((i - x) * 2)),x,2) + 2) + x) + x),x,1) * 2) - 1)
A113795: 1 15 6615 4611686018427387903
((((((x + 1) div (loop(\(x,i).(if x <= 0 then i else (x - 1)),x,0) + 1)) + 1) div 2) div 2) + 1)
A309736: 1 1 2 1 1 2 3 1 1 1 1 2 2 3 5 1
(((((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(x div 2),1)) + 1) div 2) * 2) - 1)
A288827: 1 3 5 13 27 59 119 247 495 1007 2015 4063 8127 16319 32639 65407
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017134: 9765625 137858491849 16679880978201 420707233300201 4808584372417849 34050628916015625 174887470365513049 713342911662882601 2446194060654759801 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017136: 244140625 23298085122481 7355827511386641 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 0 else ((if (x mod ((2 + 1) * 2)) <= 0 then 2 else 1) + (((x + 1) div 2) div 2))) + 1)
A194295: 1 2 2 3 3 3 4 4 4 4 4 5 6 5 5 6
((loop(\(x,i).(((x + 1) * x) div 2),x,loop(\(x,i).((x * x) * x),(x + 1),2)) * 2) + 1)
A051157: 17 262657 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (loop(\(x,i).((i + x) * (x + 1)),2,2) - 1))
A036141: 1 6 36 107 97 37 4 24 35 101 61 39 16 96 31 77
(((((loop(\(x,i).((if (2 - x) <= 0 then x else 2) + x),x,(1 - x)) * 2) * 2) * 2) * 2) - 1)
A249452: 15 31 47 63 95 127 191 255 383 511 767 1023 1535 2047 3071 4095
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).(((x * 2) + 1) * 2),2,((2 + 2) * 2)) + 1))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036146: 1 2 4 8 16 32 64 128 117 95 51 102 65 130 121 103
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) + 1)),x,(((2 + 2) * 2) + 1))
A033479: 9 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) * 2) * 2) + 1))
A017087: 1 31381059609 34271896307633 2384185791015625 50542106513726817 550329031716248441 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) * 2) * 2) + 1)))
A017002: 1 1073741824 576650390625 26559922791424 420707233300201 3656158440062976 21611482313284249 97656250000000000 362033331456891249 1152921504606846976 3255243551009881201 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) * 2) * 2) + 1)))
A017004: 1 68719476736 129746337890625 12855002631049216 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) * (2 + 1)) * ((2 + 2) + 1)))
A296522: 1 0 0 0 0 0 0 0 0 0 0 0 30
((loop(\(x,i).((2 + 1) * x),x,2) + loop(\(x,i).(x * 2),x,(2 + 1))) div ((2 + 2) + 1))
A178936: 1 2 6 15 42 116 330 951 2778 8180 24234 72087 215034 642644 1923018 5759223
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017338: 9765625 576650390625 95367431640625 2758547353515625 34050628916015625 253295162119140625 1346274334462890625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017340: 244140625 129746337890625 59604644775390625 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).(x * x),1,((i div 2) + 2)) + x),x,1) * 2) + ((2 + 2) + 1))
A271995: 7 15 33 51 83 115 165 215 287 359 457 555 683 811 973 1135
(2 - (if x <= 0 then 1 else ((if (((x div 2) + x) mod (2 + 2)) <= 0 then x else 2) mod ((2 + 2) + 1))))
A304362: 1 0 0 ~1 0 0 0 0 ~1 0 0 1 0 0 0 0
(if x <= 0 then 1 else (((if (x mod 2) <= 0 then ((x - 2) * (2 + 1)) else 1) + x) * ((2 + 2) + 1)))
A324494: 1 10 10 20 50 30
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 2) + 1) * x) + 1)),x,((2 + 2) + 1))
A259207: 5 26 13 66 33 166 83 416 208 104 52 26 13 66 33 166
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + ((2 + 2) + 1))
A153044: 5 9 12 15 17 18 21 22 24 27 29 30 32 33 36 37
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + ((2 + 2) + 1))
A089192: 5 6 7 9 10 12 13 15 18 19 22 24 25 27 30 33
(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2)) + 1)
A098640: 5 9 33 129 2049 8193 131073 524289 8388609 536870913 2147483649 137438953473 2199023255553 8796093022209 140737488355329 9007199254740993
(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2)) - 1)
A103901: 3 7 31 127
A001348: 3 7 31 127 2047 8191 131071 524287 8388607 536870911 2147483647 137438953471 2199023255551 8796093022207 140737488355327 9007199254740991
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070425: 1 7 6 42 36 37 1 7 6 42 36 37 1 7 6 42
((loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) + 2) + 1)
A229065: 5 7 19 67 1027 4099 65539 262147 4194307 268435459 1073741827 68719476739 1099511627779 4398046511107 70368744177667 4503599627370499
(loop(\(x,i).(x * 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),2) + 1)
A101304: 9 17 65 257 4097 16385 262145 1048577 16777217 1073741825 4294967297 274877906945 4398046511105 17592186044417 281474976710657 18014398509481985
(loop(\(x,i).(x * 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),2) - 1)
A279882: 7 15 63 255 4095 16383 262143 1048575 16777215 1073741823 4294967295 274877906943 4398046511103 17592186044415 281474976710655 18014398509481983
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((x * 2) * 2) + 1))
A031370: 5 17 31 47 67 83 103 127 149 167 191 211 233 257 277 307
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * i) + x) + 1),i,1) + x),((x * 2) * 2),1)
A218324: 1 115 645 1911 4233 7931 13325 20735 30481 42883 58261 76935 99225 125451 155933 190991
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) + ((x mod 2) * 2)) - 1)
A286033: 0 3 5 21 69 253 923 3433 12869 48621 184755 705433 2704155 10400601 40116599 155117521
(loop(\(x,i).(((x + 1) * x) div 2),1,(loop(\(x,i).(x * 2),(x - 1),1) + 1)) div (2 + 1))
A124303: 1 1 2 5 15 51 187 715 2795 11051 43947 175275 700075 2798251 11188907 44747435
loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),x,((x + 1) * (2 + 1))) + 1) * (2 + 1)))
A227707: 12 78 444 2328 11568 55392 258240 1180032 5309184 23594496 103812096 452990976 1962946560 8455741440 36238835712 154618920960
(if x <= 0 then 1 else ((loop(\(x,i).((x * x) * x),1,((x * 2) * (x + 1))) + 1) * (2 + 1)))
A226105: 1 195 5187
((loop(\(x,i).(((2 + 1) * x) - 1),x,1) + loop(\(x,i).(x * 2),(x - 1),1)) div (2 + 1))
A094039: 0 1 2 6 16 46 132 386 1136 3366 10012 29866 89256 267086 799892 2396946
(if x <= 0 then 1 else (if (x mod (2 + 1)) <= 0 then (((x * x) + 2) mod ((2 + 2) + 1)) else (2 + 1)))
A083953: 1 3 3 1 3 3 3 3 3 3 3 3 1 3 3 2
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017566: 59049 576650390625 205891132094649 8140406085191601 119042423827613001 984930291881790849 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017568: 531441 129746337890625 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) + 1) * (2 + 1)))
A016955: 177147 31381059609 8649755859375 350277500542221 5559060566555523 50542106513726817 317475837322472439 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - (((x * 2) + 1) * (2 + 1))))
A016894: 59049 1073741824 137858491849 3570467226624 41426511213649 296196766695424 1531578985264449 6278211847988224 21611482313284249 64925062108545024 174887470365513049 430804206899405824 984930291881790849 2113922820157210624 4297625829703557649
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - (((x * 2) + 1) * (2 + 1))))
A016896: 531441 68719476736 23298085122481 1156831381426176 21914624432020321 232218265089212416 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 1),(x div 2),1)) div (2 + 1))
A000773: 0 0 0 1 1 6 8 29 45 130 220 561 1001 2366 4368 9829
((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),(x div 2),1)) * (2 + 1))
A242278: 0 6 18 72 216 702 2106 6480 19440 58806 176418 530712 1592136 4780782 14342346 43040160
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017206: 59049 61917364224 16679880978201 590490000000000 8140406085191601 64925062108545024 362033331456891249 1568336880910795776 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017208: 531441 8916100448256 7355827511386641 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x - 2) <= 0 then 1 else ((x * x) div 2)) + loop(\(x,i).((x * 2) * 2),x,1)) div (2 + 1))
A262293: 0 1 5 22 88 345
(loop(\(x,i).(((x - 1) * x) * ((x * 2) - 1)),1,loop(\(x,i).(x * 2),x,1)) * (2 + 1))
A020528: 0 18 252 2520 22320 187488 1536192 12435840 100074240 802948608 6433016832 51501864960 412165877760 3297930928128 26385863196672 211096568954880
((loop(\(x,i).(x - (((i mod 2) - x) * 2)),x,1) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A192225: 0 1 2 5
A093379: 0 1 2 5 12 31 82 225 632 1811 5262 15445 45652 135591 404042 1206665
(if x <= 0 then 0 else (2 - ((x mod 2) - ((loop(\(x,i).(i * x),x,1) mod (x + 1)) div (2 + 1)))))
A260738-A055396: 0 1 2 1 3 1 4 1 2 1 5 1 6 1 2 1
(if x <= 0 then 1 else ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)))
A322435: 1 0 0 1 0 1 0 2 1 1 0 3 0 1 1 5
loop(\(x,i).(x * x),(x - 2),loop(\(x,i).((2 + 1) * x),((x + 2) * (x + 1)),(2 + 1)))
A075081: 27 2187 1594323 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) * (2 + 1))
A179893: 3 6 9 15 18 24 27 33 42 45 54 60 63 69 78 87
(1 - ((x mod 2) - (loop(\(x,i).(x * 2),x,(if (x mod (2 + 1)) <= 0 then 1 else 2)) div (2 + 1))))
A087629: 1 1 3 2 11 21 22 85 171 170 683 1365 1366 5461 10923 10922
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017602: 60466176 3570467226624 590490000000000 17080198121677824 210832519264920576 1568336880910795776 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017604: 2176782336 1156831381426176 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x),(((x + 1) * 2) * (2 + 1)))
A175229: 10 20 27 35 44 51 58 66 75 82 90 96 105 114 120 126
loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),2) + (2 + 1)))
A205163: 13 159 2277 33831 506493 7594479 113908437 1708600311 25628925933 384433652799 5766504083397 86497559125191 1297463380500573 19461950688376719 291929260268255157 4378938903851640471
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((2 + 1) * x) - 1),x,2)) div 2) div (2 + 1))
A051406: 1 5 35 287 2501 22265 199655 1794707 16145801 145292525 1307573675 11767985927 105911341901 953200482785 8578799562095 77209181709947
(1 - (((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * (x + 2)) div 2) div (2 + 1)))
A129262: 1 2 1 3 2 1 5 4 3 1 9 8 6 4 1 16
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) * 2) * (2 + 1)))
A017531: 0 743008370688 1521681143169024 131621703842267136 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - (((x * 2) * 2) * (2 + 1))))
A017398: 0 25937424601 26559922791424 1531578985264449 27197360938418176 253295162119140625 1568336880910795776 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - (((x * 2) * 2) * (2 + 1))))
A017400: 0 3138428376721 12855002631049216 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017242: 60466176 576650390625 63403380965376 1531578985264449 17080198121677824 119042423827613001 604661760000000000 2446194060654759801 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017244: 2176782336 129746337890625 36520347436056576 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((((x * 2) * 2) * 2) + 1) * 2),x,2) * (2 + 1)))
A115491: 6 204 6552 209712 6710880 214748352 6871947648 219902325504 7036874417664 225179981368320 7205759403792384 230584300921368576 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,2) * (2 + 1)))
A102794: 36 4356 443556 44435556 4444355556 444443555556 44444435555556 4444444355555556 444444443555555556 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * 2),(x - 1),2) * loop(\(x,i).((x + 1) * 2),x,2)) div (2 + 1))
A270218: 1 4 28 140 620 2604 10668 43180 173740 697004 2792108 11176620 44722860 178924204 715762348 2863180460
((((if (x mod 2) <= 0 then (1 - (if x <= 0 then 2 else 0)) else (x div 2)) + 1) * (x + 2)) div (2 + 1))
A167151: 0 1 2 3 4 7 5 12 6 18 8 26 9 35 10 45
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),((x * 2) * (2 + 1)))
A031393: 3 19 43 71 101 131 163 193 229 263 293 337 373 409 443 479
loop(\(x,i).((((x * 2) * 2) - 1) * x),1,loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1)))
A136541: 33 2889 235953 19129689
(((loop(\(x,i).((i * x) - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,x) + x) + 2) * (2 + 1))
A055040: 6 15 24 33 42 51 54 60 69 78 87 96 105 114 123 132
((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),2,x),x) * 2) + (2 + 1))
A056761: 3 5 7 9 15 21 25 27 33 35 39 45 51 55 57 63
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 2) * (2 + 1))
A245685: 6 9 12 18 21 27 30 36 45 48 57 63 66 72 81 90
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - (if (x mod (2 + 1)) <= 0 then 0 else x)) div (2 + 1)))
A301688: 1 4 9 12 17 22 24 30 35 36 43 48 48 56 61 60
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 1) * x) * (2 + 1)) + 1)),x,(2 + 1))
A037102: 3 28 14 7 64 32 16 8 4 2 1 10 5 46 23 208
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (x - (1 - ((x * 2) * (2 + 1))))),x,(2 + 1))
A063871: 3 20 10 5 34 17 118 59 412 206 103 720 360 180 90 45
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((2 + 1) * x) * (2 + 1)))
A017171: 0 31381059609 64268410079232 5559060566555523 131621703842267136 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 1) * 2) + 1) * x) + 1)),x,(2 + 1))
A037101: 3 22 11 78 39 274 137 960 480 240 120 60 30 15 106 53
((if x <= 0 then 1 else ((x * 2) * 2)) - (((if (x mod (2 + 1)) <= 0 then x else 1) + x) div (2 + 1)))
A298789: 1 4 7 10 15 18 20 26 29 30 37 40 40 48 51 50
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),x,(2 + 1))
A227547: 3 5 8 13 20 31 44 61 80 103 132 163 200 241 284 331
(loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((x * 2) - (i mod 2)),(x - 1),x) div (2 + 1)))
A139790: 1 2 3 5 7 9 7 ~7 ~57 ~199 ~569 ~1479 ~3641 ~8647 ~20025 ~45511
loop(\(x,i).(x * x),1,(((if (((x div 2) - 2) - 2) <= 0 then 1 else (2 + 2)) + x) + (2 + 1)))
A245371: 16 25 36 49 64 81 100 121 144 169 289 324 361 400 441 484
(loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) - loop(\(x,i).((x * 2) * 2),x,(2 + 1)))
A257285: 1 8 52 308 1732 9428 50212 263348 1365892 7026068 35916772 182729588 926230852 4681485908 23608756132 118849087028
((loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * 2) * 2)) + x) + (2 + 1))
A125255: 3 7 11 3 19 23 3 31 5 3 43 47 3 5 59 3
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)))
A110833: 9 16 36 64 144 196 324 400 576 900 1024 1444 1764 1936 2304 2916
loop(\(x,i).((2 + 1) * x),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 1))
A121858: 3 9 81 729 59049 531441 43046721 387420489 31381059609 22876792454961 205891132094649 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),(x div 2),(x + 2)) + x) + (2 + 1))
A013635: 5 7 8 11 12 15 16 17 18 23 24 27 28 29 30 35
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) - (x - (2 + 1)))
A177018: 3 3 3 4 4 5 5 6 8 8 10 11 11 12 14 16
loop(\(x,i).((((if (x mod (2 + 1)) <= 0 then 1 else 2) + x) * (2 + 1)) + 1),2,(x mod (2 + 1)))
A332756: 19 37 46 19 37 46 19 37 46 19 37 46 19 37 46 19
(if x <= 0 then 0 else ((loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + x) + (2 + 1)))
A174392: 0 5 7 9 11 13 15 17 19 21 23 25 26 27 29 31
(compr(\x.(2 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x) * (2 + 1))
A055131: 15 39 51 87 111 123 159 183 219 267 291 303 327 339 411 447
loop(\(x,i).(loop(\(x,i).(((x * x) * x) * (x * x)),1,((x * x) * 2)) * x),x,(2 + 1))
A324425: 3 5668704 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017290: 1 25937424601 16679880978201 819628286980801 13422659310152401 119042423827613001 713342911662882601 3255243551009881201 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017292: 1 3138428376721 7355827511386641 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((if (x mod (((2 + 2) + 1) * 2)) <= 0 then x else 0) + 1) * x) + 1),x,2) - 1)
A028431: 1 2 3 4 5 6 7 8 9 110 111 112 113 114 115 116
((loop(\(x,i).(x * x),1,(loop(\(x,i).((i + 1) * x),(2 + 2),(x + 1)) + x)) * 2) - 1)
A157610: 28799 116161 262087 466577 729631 1051249 1431431 1870177 2367487 2923361 3537799 4210801 4942367 5732497 6581191 7488449
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((2 + 1) * x),(((x div (2 + 2)) + x) div 2),1))
A063005: 0 1 1 5 7 5 37 47 13 269 295 1319 1909 1631 9823 13085
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) * 2) + 1)
A090670: 3 5 7 11 13 17 23 25 31 35 37 41 43 53 55 65
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) * 2) - 1)
A104635: 1 3 5 9 11 15 21 23 29 33 35 39 41 51 53 63
(loop(\(x,i).(((2 + 1) * x) + 1),(x * 2),1) * (loop(\(x,i).((x * 2) * 2),x,2) - 1))
A096054: 1 91 3751 138811 5028751 181308931 6529545751 235085301451 8463265086751 304679288612371 10968470088963751 394865064451017691 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * i) * x),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2),1)
A061024: 4 36 14400 25401600 1593350922240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),2) + 1)
A139159: 3 7 121 5041 39916801 6227020801 355687428096001 121645100408832001 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),2) - 1)
A139189: 1 5 119 5039 39916799 6227020799 355687428095999 121645100408831999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) - 1)
A139291: 1 7 127 2047 524287 8388607 2147483647 34359738367 8796093022207 36028797018963967 576460752303423487 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A066872: 5 10 26 50 122 170 290 362 530 842 962 1370 1682 1850 2210 2810
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A084920: 3 8 24 48 120 168 288 360 528 840 960 1368 1680 1848 2208 2808
loop(\(x,i).((i + x) + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1)
A271511: 6 10 21 36 78 105 171 210 300 465 528 741 903 990 1176 1485
loop(\(x,i).((2 + 1) * x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1)
A057901: 9 27 243 2187 177147 1594323 129140163 1162261467 94143178827 68630377364883 617673396283947 450283905890997363 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((i * 2) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1)
A060800: 7 13 31 57 133 183 307 381 553 871 993 1407 1723 1893 2257 2863
((loop(\(x,i).(x * x),1,compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x)) div 2) + 1)
A103729: 1 5 13 41 61 113 145 221 365 421 613 761 841 1013 1301 1625
(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),x,0) * (loop(\(x,i).(x * 2),x,2) - 1))
A160876: 0 3 56 855 12400
((loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 2)) + 1) * (loop(\(x,i).(x * 2),x,2) - 1))
A147539: 5 99 1799 30735 507935 8257599 133169279 2139095295 34292630015 549218943999 8791798056959 140703128621055 2251524935786495 36026597995724799 576443160117411839 4611686018427387903
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(loop(\(x,i).(x * 2),x,2) - 1))
A063016: 1 3 14 75 434 2646 16764 109395 730730 4973826 34381412 240728670 1703826292 12170930700 87633375480 635351667075
loop(\(x,i).(x * x),1,((loop(\(x,i).(((i * 2) * (i + 1)) + x),(x * 2),x) * 2) + 1))
A014795: 1 1225 27225 207025 938961 3136441 8555625 20205025 42837025 83521321 152300281 262926225 433680625 688275225 1056835081 1576963521
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),i) + x) + 2),x,2) + 1)
A060939: 3 7 13 21 33 47 65 85 109 139 171 209 251 295 343 397
loop(\(x,i).(((x * x) * x) * (x * x)),1,loop(\(x,i).((x + 2) * (x + 2)),(x + 2),1))
A120322: 25937424601 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else 0) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),1))
A115140: 1 ~1 ~1 ~2 ~5 ~14 ~42 ~132 ~429 ~1430 ~4862 ~16796 ~58786 ~208012 ~742900 ~2674440
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - (if (x - 1) <= 0 then x else 0)) + 1),(x * 2),1)
A267622: 1 101 10111 1011111 101111111 10111111111 1011111111111 101111111111111 10111111111111111 1011111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then (2 + 2) else 0) + 1)),x,(x * 2)),((x * 2) + 1))
A218394: 1 5 7 11 25 27 31 35 37 51 55 57 61 125 127 131
loop(\(x,i).((if (((((i * 2) + 1) * x) * 2) mod (i + 2)) <= 0 then x else 0) + x),(x * 2),1)
A242349: 1 4 8 16 16 32 32 64 64 64 64 128 128 128 128 256
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A221904: 2 19 181 1729 16561 159049 1531441 14782969 143046721 1387420489 13486784401 131381059609 1282429536481 12541865828329 122876792454961 1205891132094649
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((2 + 1) * x),(x * 2),1))
A016189: 0 1 19 271 3439 40951 468559 5217031 56953279 612579511 6513215599 68618940391 717570463519 7458134171671 77123207545039 794108867905351
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).((2 + 1) * x),(x * 2),1))
A139739: 0 1 19 271 3439 40951 468559 434062 13906558 225159022 3026431198 5856821173 152711390557 2374402515013 8492830180156 176435471621404
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074623: 2 16 130 1072 8962 75856 649090 5606512 48811522 427774096 3769259650 33358386352 296270823682 2638754838736 23555015527810 210638693604592
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),(x * 2),1)
A099788: 1 6 210 30030 9699690 6469693230 7420738134810 13082761331670030 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else loop(\(x,i).(0 - (((((i * 2) - 1) * x) * 2) div (i + 1))),(x div 2),1))
A106181: 0 1 ~1 ~1 2 2 ~5 ~5 14 14 ~42 ~42 132 132 ~429 ~429
loop(\(x,i).(x * 2),((x + 1) mod ((if (x mod (2 + 2)) <= 0 then (0 - 1) else 2) + (x div 2))),1)
A060723: 1 1 1 2 1 4 4 8 1 16 16 32 8 64 64 128
(loop(\(x,i).(((i * 2) - 1) * x),x,1) div loop(\(x,i).(((i * 2) - 1) * x),(x div 2),1))
A161738: 1 1 3 15 35 315 693 9009 19305 328185 692835 14549535 30421755 760543875 1579591125 45808142625
((loop(\(x,i).(x * x),1,loop(\(x,i).(((2 + 1) * i) * (x * x)),x,1)) + (x mod 2)) + 1)
A072665: 2 11 2917
(if x <= 0 then 0 else (((if (((x div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 2) - (x mod 2)) + 1))
A307200: 0 2 3 2 3 2 3 2 1 0 3 2 3 2 3 2
(loop(\(x,i).((((if (i mod 2) <= 0 then (2 + 2) else 1) + 1) * x) + 1),x,1) * ((x mod 2) + 1))
A118640: 1 6 16 66 166 666 1666 6666 16666 66666 166666 666666
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + ((x mod 2) + 1))
A004793: 1 3 4 6 10 12 13 15 28 30 31 33 37 39 40 42
loop(\(x,i).((x + 1) * x),1,(((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 1))
A174857: 2 6 2 20 2 42 2 6 2 110 2 156 2 6 2 272
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) + (if x <= 0 then 2 else 1))
A166496: 6 7 11 15 23 27 35 39 47 59 63 75 83 87 95 107
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,2) - 1)
A282704: 1 3 11 59 419 4619 60059 1021019 19399379 446185739 12939386459 401120980259 14841476269619 608500527054419 26165522663340059 1229779565176982819
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,2) - 1)
A057588: 1 5 29 209 2309 30029 510509 9699689 223092869 6469693229 200560490129 7420738134809 304250263527209 13082761331670029 614889782588491409 4611686018427387903
(2 div ((loop(\(x,i).((if x <= 0 then ((2 + 2) + 1) else ((2 + 2) * 2)) - x),x,x) div 2) + 1))
A287174: 2 0 1 0 0 1 0 2 0 1 0 1 0 2 0 1
((loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - x),x,0) + x) + 1)
A338467: 1 3 4 7 8 13 12 19 16 25 24 29 32 35 36 41
loop(\(x,i).(i * x),(2 + 2),loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1))
A175604: 24 744 7944 79944 799944 7999944 79999944 799999944 7999999944 79999999944 799999999944 7999999999944 79999999999944 799999999999944 7999999999999944 79999999999999944
(compr(\x.((loop(\(x,i).((x + 1) * 2),(if (x mod 2) <= 0 then x else 1),1) mod (x + 1)) - 1),x) + 1)
A067126: 1 2 3 4 5 7 9 11 13 17 19 23 29 31 37 41
(compr(\x.((loop(\(x,i).(x * 2),x,loop(\(x,i).((i * i) + x),x,1)) mod (x + 1)) - 1),x) + 1)
A326155: 1 2 3 4 5 7 8 9 11 12 13 16 17 19 23 29
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) - loop(\(x,i).((x * 2) * 2),(i - 1),1)),x,1)
A282563: 1 8 68 596 5300 47444 425972 3829652 34450484 309988820 2789637236 25105686548 225946984628 2033506084436 18301487651060 164713120424084
loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + x) * (((2 + 1) * 2) + 1)),x,1)
A140107: 1 28 490 6860 84035 941192 9882516 98825160 951192165 8877793540 80787921214 719746934452 6297785676455 54257845827920 461191689537320 3874010192113488
loop(\(x,i).(x - ((1 - loop(\(x,i).((x mod (i + 1)) + 2),x,2)) div ((2 + 2) + 1))),x,1)
A143071: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) + 1) * x) + 1))
A016871: 1 362797056 285311670611 17592186044416 350277500542221 3670344486987776 25408476896404831 131621703842267136 550329031716248441 1951354384207722496 4611686018427387903
loop(\(x,i).((loop(\(x,i).((x * 2) * (2 + 1)),(i - 1),1) + x) * ((2 + 2) + 1)),x,1)
A257286: 1 10 80 580 3980 26380 170780 1087180 6835580 42575980 263268380 1618672780 9907349180 60420657580 367406757980 2228854610380
loop(\(x,i).(((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) + 1)),x,1)
A140405: 1 35 700 10500 131250 1443750 14437500 134062500 1173046875 9775390625 78203125000 604296875000 4532226562500 33120117187500 236572265625000 1656005859375000
loop(\(x,i).((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) + 1)),x,1)
A140346: 1 45 1125 20625 309375 4021875 46921875 502734375 5027343750 47480468750 427324218750 3690527343750 30754394531250 248400878906250 1951721191406250 14963195800781250
loop(\(x,i).((x * 2) - ((loop(\(x,i).((x + 1) * 2),x,2) mod ((x + 2) + 2)) - 1)),x,1)
A188534: 1 2 3 5 11 23 29
(loop(\(x,i).((((x * 2) * 2) + 1) * 2),x,2) - loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A016224: 1 13 125 1085 9021 73533 593725 4771645 38260541 306433853 2452868925 19628543805 157050720061 1256495238973 10052319825725 80419990261565
(loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,2) - loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A097165: 1 7 41 227 1221 6447 33601 173467 889181 4533287 23015961 116477907 587981941 2962279327 14900875121 74862289547
(loop(\(x,i).((x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 2),(2 + 1),x) - 1)
A325615: 1 1 1 2 1 1 1 1 2 1 2 3 2 2 1 1
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016191: 1 21 333 4725 63261 818181 10349613 128978325 1590786621 19476859941 237209103693 2877890303925 34817113183581 420347224031301 5067043480830573 61010412902061525
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016227: 1 17 225 2785 33761 406497 4883425 58622945 703562721 8443102177 101318624225 1215829083105 14589971366881 175079745881057 2100957308486625 25211489133495265
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016217: 1 16 205 2500 30121 361816 4342885 52117900 625424641 7505125216 90061591165 1080739359700 12968873113561 155626479754216 1867517764225045 22410213192223900
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016166: 1 17 229 2873 35101 424337 5107669 61370153 736832461 8843942657 106137077509 1273693758233 15284569239421 183416051576177 2200998722429749 26412015186735113
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) - x) + (((x * 2) * 2) * (2 + 1))),x,1)
A016158: 1 15 181 2055 22861 252495 2781541 30613335 336812221 3705196575 40758210901 448344514215 4931806433581 54249937878255 596749585096261 6564246509800695
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - (((x * 2) * 2) * (2 + 1))))),x,1)
A033963: 1 12 6 3 34 17 188 94 47 518 259 2850 1425 15676 7838 3919
loop(\(x,i).(loop(\(x,i).((x * 2) + 1),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016206: 1 14 161 1786 19677 216510 2381737 26199362 288193493 3170129446 34871425953 383585689578 4219442593549 46413868545422 510552554032409 5616078094422034
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016146: 1 14 163 1820 20101 221354 2435623 26794040 294741001 3242170694 35663936683 392303480660 4315338818701 47468728600034 522156019383343 5743716227565680
loop(\(x,i).((((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x) * 2) * (2 + 1)),x,1)
A050988: 1 42 1008 18144 272160 3592512 43110144 480370176 5043886848 50438868480 484213137408 4489976365056 40409787285504 354362750042112 3037395000360960 25514118003032064
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),(i - 1),1) - ((x * 2) * (2 + 1))),x,1)
A166149: 1 ~5 35 ~185 1235 ~6785 43835 ~247385 1562435 ~8983985 55857035 ~325376585 2001087635 ~11762385185 71795014235 ~424666569785
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A016243: 1 15 163 1563 14059 121803 1030411 8579211 70649227 577287051 4690855819 37962203019 306309762955 2466150936459 19823244488587 159150177890187
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A016228: 1 12 103 774 5425 36456 238267 1527258 9651829 60352380 374321311 2306963022 14146953913 86407602384 526075008835 3194597025666
loop(\(x,i).(loop(\(x,i).(((x mod 2) - (x * 2)) * 2),i,1) + ((x * 2) * (2 + 1))),x,1)
A083299: 1 4 32 160 1088 6016 38144 220672 1356800 8009728 48582656 289398784 1744781312 10435133440 62745018368 375933239296
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * (2 + 1))),x,1)
A016173: 1 16 196 2176 23056 238336 2430016 24580096 247480576 2484883456 24909300736 249455804416 2496734826496 24980408958976 249882453753856 2499294722523136
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1) - ((x * 2) * (2 + 1))),x,1)
A065874: 1 1 43 85 1891 5461 84883 314245 3879331 17077621 180009523 897269605 8457669571 46142992981 401365114963 2339370820165
(loop(\(x,i).(i * x),((x * 2) * (2 + 1)),1) div loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A210279: 1 120 13305600 29640619008000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A139736: 0 4 28 136 928 6688 20224 202240 902656 2308096 23080960 230809600 856907776 8569077760 7326613504 386722791424
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074619: 2 13 85 559 3697 24583 164305 1103479 7444417 50431303 342941425 2340123799 16018069537 109949704423 756587236945 5217746494519
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A016169: 0 1 13 127 1105 9031 70993 543607 4085185 30275911 222009073 1614529687 11664504865 83828316391 599858908753 4277376525367
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A139786: 0 1 13 127 1105 1255 24337 263671 725953 42823 40610545 163341463 780593185 5464152295 51309760081 45711664183
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) - loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A085353: 1 8 62 470 3506 25838 188642 1367150 9849986 70629518 504484322 3591856430 25505792066 180717326798 1278081981602 9024938035310
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * (2 + 1))),x,1)
A016178: 1 16 193 2080 21121 206896 1979713 18640960 173533441 1602154576 14701866433 134294124640 1222488408961 11099284691056 100571785292353 909893629141120
loop(\(x,i).((loop(\(x,i).(((x * 2) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016223: 1 12 105 820 6081 43932 312985 2212740 15576561 109385452 767096265 5375266260 37649233441 263634112572 1845796701945 12922008569380
loop(\(x,i).((loop(\(x,i).((x - 1) * (2 + 1)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A258340: 1 7 46 310 2131 14797 103216 721420 5046661 35316787 247187986 1730227330 12111325591 84778481977 593446982356 4154121702040
loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016212: 1 11 90 670 4811 34041 239380 1678940 11762421 82366471 576653870 4036842810 28258696831 197813269301 1384700059560 9692921940280
loop(\(x,i).((loop(\(x,i).(((2 + 2) + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016161: 1 12 109 888 6841 51012 372709 2687088 19200241 136354812 964249309 6798573288 47834153641 336059778612 2358521965909 16540171339488
loop(\(x,i).(((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x) * 2) * (2 + 1)),x,1)
A172501: 1 54 1620 35640 641520 10007712 140107968 1801388160 21616657920 244988789760 2645878929408 27420927086592 274209270865920 2657720625315840 25058508752977920 230538280527396864
loop(\(x,i).(((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2) * (2 + 1)),x,1)
A036084: 1 36 756 12096 163296 1959552 21555072 221709312 2161665792 20175547392 181579926528 1584697540608 13469929095168 111904026329088 911218500108288 7289748000866304
loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),((2 + 1) * x),1)
A187442: 1 3 20 126 924 6435 48620 352716 2704156 20058300 155117520 1166803110 9075135300 68923264410 538257874440 4116715363800
(loop(\(x,i).((x * x) * x),x,(2 + 1)) div loop(\(x,i).((2 + 1) * x),((2 + 1) * x),1))
A165624: 3 1 27 387420489 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),x,1)
A002451: 1 14 147 1408 13013 118482 1071799 9668036 87099705 784246870 7059619931 63542171784 571901915677 5147206719578 46325218390143 416928397167052
loop(\(x,i).((((loop(\(x,i).((x * 2) * 2),(i - 1),1) + x) + x) + x) * (2 + 1)),x,1)
A277491: 1 12 120 1128 10344 93864 847848 7642920 68835432 619715496 5578225896 50207178792 451877192040 4066945060008 36602706866664 329425167106344
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x) * (2 + 1)),x,1)
A172362: 1 33 594 7722 81081 729729 5837832 42532776 287096238 1818276174 10909657044 62482581252 343654196886 1824010737318 9380626649064 46903133245320
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 1)),x,1)
A036221: 1 24 324 3240 26730 192456 1250964 7505784 42220035 225173520 1148384952 5637526128 26778249108 123591918960 556163635320 2447119995408
loop(\(x,i).((x div 2) * x),1,(0 - loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)))
A099639: 1 66 6216 617716 61732716 6172882716 617284382716 61728399382716
A003555: 1 66 6216 617716 61732716 6172882716 617284382716 61728399382716 6172839549382716 617283951049382716 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((((x * 2) * 2) * 2) - loop(\(x,i).((2 + 1) * x),(i * 2),1))),x,1)
A160958: 1 2 67 260 4741 25862 350407 2330120 26735881 200269322 2084899147 16786765580 164922177421 1387410586382 13164918350287 113736703642640
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) * (2 + 1)) + 1) * x) + 1)),x,1)
A033964: 1 14 7 92 46 23 300 150 75 976 488 244 122 61 794 397
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x div (2 + 1)) + 1),x) + 1),x,1)
A145571: 1 11 110001 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * 2) * 2) + 1) * x) + 1)),x,1)
A033965: 1 18 9 154 77 1310 655 11136 5568 2784 1392 696 348 174 87 1480
loop(\(x,i).(((2 + 2) + 1) * x),(x * x),loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1))
A088853: 1 30 19375 304687500 119171142578125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1) div loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A238777: 1 1 2 3 6 10 17 29 49 82 137 229 382 638 1063 1772
(loop(\(x,i).(((x * 2) * (2 + 1)) + 2),x,2) - loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A016211: 1 10 73 478 2989 18298 110881 668566 4021237 24156946 145030249 870447214 5223480445 31343274154 188066819377 1128422439622
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) + 1)
A153183: 3 5 7 11 13 15 21 23 25 27 33 35 37 43 47 51
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) - 1)
A034936: 1 3 5 9 11 13 19 21 23 25 31 33 35 41 45 49
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) + 1)
A089388-A055494: 2 3 4 6 7 9 13 15 16 18 21 22 25 28 34 39
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) - 1)
A128815: 1 2 4 5 7 11 13 14 16 19 20 23 26 32 37 40
loop(\(x,i).((loop(\(x,i).((x * x) * (x + 1)),1,(((2 + 2) + 1) * 2)) * x) + 1),x,1)
A178348: 1 1101 1211101 1332211101 1465432211101 1611975432211101 1773172975432211101 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((if (x mod 2) <= 0 then x else 1) + x) div ((2 + 2) + 1)) * 2) + x) + 1),x,1)
A094863: 1 2 3 4 7 10 19 28
A094862: 1 2 3 4 7 10 19 28 51
((if x <= 0 then 2 else compr(\x.(loop(\(x,i).((((i mod 2) + x) * 2) + 1),x,0) mod (x + 1)),x)) + 1)
A275938: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 49 53
(x div loop(\(x,i).(((i * 2) - 1) - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))),x,1))
A060951: 0 1 0 1 0 0 1 0 0 0 2 0 1 0 1 0
(compr(\x.((loop(\(x,i).(x * x),2,loop(\(x,i).((x * x) * 2),2,2)) - 1) mod (x + 1)),x) + 1)
A003536: 1 3 5 15 29 43 87 113 127 129 145 215 339 381 435 565
(compr(\x.(loop(\(x,i).(loop(\(x,i).(x * x),2,(x + 2)) * (x + 2)),2,1) mod (x + 1)),x) + 1)
A057253-A003595: 1 5 7 25 35 49 125 175 245 343 625 875 1225 1715 2401 3125
(compr(\x.((loop(\(x,i).((x * x) * x),2,2) - loop(\(x,i).(x * 2),x,1)) mod (x + 1)),x) + 1)
A015932: 1 2 4 6 7 8 10 12 16 24 28 30 32 34 48 50
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1))
A062312: 1 16 36 64 81 100 144 196 225 256 324 400 441 484 576 625
loop(\(x,i).(x * x),1,(compr(\x.(1 - (loop(\(x,i).((x + 2) * x),2,2) mod (x + 1))),x) + 1))
A169580: 9 36 49 81 121 144 169 196 225 289 324 361 441 484 529 576
loop(\(x,i).(loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),i,(x * 2)) + (x + 1)),x,1)
A097786: 1 7 31 113 374 1178 3618 10974 33087 99481 298729 896551 2690108 8070884 24213332 72640812
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) * (((x + 1) * x) + 1))
A119576: 0 6 84 780 5880 39060 238392 1369368 7516080 39819780 205079160 1032047016 5094629904 24743027400 118504436400 560749834800
(compr(\x.(loop(\(x,i).loop(\(x,i).(x * x),1,((1 - x) * (2 + 1))),2,x) mod (x + 1)),x) + 1)
A135553: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175
(loop(\(x,i).(x * 2),x,1) mod (loop(\(x,i).(x * 2),(x - 1),2) div (((x - 1) * x) + 1)))
A181170: 1 0 0 0 0 0 0 0 0 1 1 14
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),(x - 1),x) + 1)
A175965: 1 2 4 7 12 19 30 43 60 79 102 131 162 199 240 283
(compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (i + 1))),x,x) + 1),x) + 1)
A005123: 2 5 9 11 12 14 17 24 29 30 32 35 39 42 44 50
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + ((x * x) + 1)),x,1)
A028301: 1 3 12 149 22208 493195275 243241579282325638 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1))
A033536: 1 1 8 125 2744 74088 2299968 78953589 2924207000 114933031928 4738245926336 203152294091656 9000469593857728 410006814589000000 4611686018427387903 4611686018427387903
(if ((((x + 1) div 2) div 2) - 2) <= 0 then ((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) else 1)
A132575: 1 2 3 4 5 6 7 8 9 10 12 1 1 1 1 1
(if x <= 0 then 1 else (((if (x - 2) <= 0 then 1 else (((x + 1) div ((2 + 2) + 1)) + 2)) + x) + 1))
A121543: 1 3 4 6 8 9 10 11 12 14 15 16 17 18 20 21
(loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * 2),x,1))
A175659: 1 6 16 52 156 476 1436 4332 13036 39196 117756 353612 1061516 3185916 9560476 28686892
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((if (x - 2) <= 0 then 1 else 2) + x),1)
A147642: 23 529 12167 6436343
(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) div 2) div 2)) + x) + 1)
A176798: 1 2 3 4 6 8 7 10 13 16 11 15 19 23 27 16
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),x,1)
A016233: 1 14 143 1300 11181 93354 766363 6228560 50316761 404975494 3252010983 26077123020 208922159941 1672903158434 13390854662003 107164984268680
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),x,1)
A016186: 1 18 244 2952 33616 368928 3951424 41611392 432891136 4463129088 45705032704 465640261632 4725122093056 47800976744448 482407813955584 4859262511644672
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A248343: 0 2 36 488 5904 67232 737856 7902848 83222784 865782272 8926258176 91410065408 931280523264 9450244186112 95601953488896 964815627911168
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A139738: 0 2 36 488 1808 1696 213568 1611392 16113920 60475904 336323584 5510719488 37927325696 104395350016 3242976755712 14837581512704
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074622: 2 15 113 855 6497 49575 379793 2920695 22542017 174571335 1356217073 10567261335 82560763937 646644824295 5076269583953 39931933598775
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x * x),loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A135315: 1 56 153664 20661046784 136122083613085696 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x - 1) <= 0 then (0 - 1) else ((x mod 2) + x)) + (((x * 2) * 2) * 2)),x,1)
A055995: 1 7 64 576 5184 46656 419904 3779136 34012224 306110016 2754990144 24794911296 223154201664 2008387814976 18075490334784 162679413013056
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1)
A172978: 1 44 1056 18304 256256 3075072 32800768 318636032 2867724288 24216338432 193730707456 1479398129664 10848919617536 76776969601024 526470648692736 3509804324618240
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1)
A054338: 1 32 576 7680 84480 811008 7028736 56229888 421724160 2998927360 20392706048 133479530496 845370359808 5202279137280 31213674823680 183120225632256
loop(\(x,i).(loop(\(x,i).(((((x * 2) * 2) * 2) * 2) + 1),i,1) - ((x * 2) * 2)),x,1)
A015253: 1 13 221 3485 55965 894621 14317213 229062301 3665049245 58640578205 938250090141 15011998086813 240191982810781 3843071671285405 61489146955314845 983826350426044061
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),x,1)
A016225: 1 15 171 1795 18291 184275 1848211 18503955 185126931 1851618835 18517586451 185181456915 1851836938771 18518458866195 185184946575891 1851850897414675
loop(\(x,i).(loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),i,1) + ((x * 2) * 2)),x,1)
A097788: 1 8 42 188 787 3204 12900 51720 207045 828400 3313886 13255908 53024087 212096908 848388312 3393554064
(loop(\(x,i).(x - (((x * 2) * 2) * 2)),(x * 2),1) + loop(\(x,i).((x * 2) * 2),x,1))
A176946: 2 53 2417
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1))
A139742: 0 7 105 1267 14385 160027 1767465 19470787 214293345 2357685547 25936376025 285307476307 3138411599505 34522645035067 379749565147785 4177247095673827
((loop(\(x,i).(((x mod (2 + 2)) + 2) * x),x,1) * x) + loop(\(x,i).((x * 2) * 2),x,1))
A086092: 1 7 46 289 1756 10399 60346 344509 1940536 10809019 59642326 326459929 1774589716 9588593239 51537966706 275731944949
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + ((x * 2) * 2)),x,1)
A020918: 1 14 126 924 6006 36036 204204 1108536 5819814 29745716 148728580 730122120 3528923580 16830250920 79342611480 370265520240
((loop(\(x,i).((2 + 1) * x),x,1) + 2) - loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,1))
A032096: 2 3 8 23 74 227 704 2135 6482 19523 58808 176663 530714 1592867 4780784 14344535
loop(\(x,i).(x - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),2)),x,1)
A106191: 1 ~1 ~3 ~7 ~17 ~45 ~129 ~393 ~1251 ~4111 ~13835 ~47427 ~164999 ~581023 ~2066823 ~7415703
loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016215: 1 14 153 1570 15821 158574 1586833 15871610 158725941 1587288934 15872977913 158730044850 1587301245661 15873014848094 158730155655393 1587301578077290
loop(\(x,i).((2 + 1) * x),((x * x) * 2),loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A135321: 1 90 656100 387420489000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (((2 + 1) * 2) + 1)),x,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A094992: 1 1 2 2 4 5 8 12 17 24 35 50 72 103 147 210
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 2))),x) - 1)
A088879: ~1 0 2 4 6 8 12 14 16 18 22 26 28 32 34 36
(loop(\(x,i).((2 + 1) * x),x,1) div loop(\(x,i).(x - (((x div (2 + 1)) - x) * 2)),x,1))
A308806: 1 1 1 1 1 2 3 4 5 6 8 11 14 18 23 30
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) + 2))),x) + 1)
A005574: 1 2 4 6 10 14 16 20 24 26 36 40 54 56 66 74
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) - 2))),x) + 1)
A028873: 4 8 10 14 20 26 32 34 40 44 46 58 64 68 80 86
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) - 2))),x) - 1)
A162860: 2 6 8 12 18 24 30 32 38 42 44 56 62 66 78 84
loop(\(x,i).((x mod (i + 1)) - 1),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1)
A145382: 1 0 2 0 4 2 14 12 8 2 0 26 22 20 16 10
loop(\(x,i).((i * 2) + (x + 2)),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1)
A306190: 1 5 19 41 109 155 271 341 505 811 929 1331 1639 1805 2161 2755
loop(\(x,i).((x + 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A036689: 2 6 20 42 110 156 272 342 506 812 930 1332 1640 1806 2162 2756
loop(\(x,i).((if ((x - 2) mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 0 else 1) + (x * 2)),x,1)
A291754: 1 3 7 15 30 61 123 247 495 991 1983 3967 7934 15869 31739 63479
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2) + (x * 2)),x,1)
A082590: 1 4 14 48 166 584 2092 7616 28102 104824 394404 1494240 5692636 21785872 83688344 322494208
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2) - (x * 2)),x,1)
A167481: 1 0 6 8 54 144 636 2160 8550 31520 121716 462000 1780156 6840288 26436024 102245472
loop(\(x,i).((((x - 1) * x) div 2) + ((x * 2) * (2 + 1))),1,loop(\(x,i).(x * 2),x,1))
A256871: 6 13 30 76 216 688 2400 8896 34176 133888 529920 2108416 8411136 33599488 134307840 537051136
loop(\(x,i).((((((x * 2) * 2) * 2) * 2) + 1) * (x + 1)),1,loop(\(x,i).(x * 2),x,1))
A165222: 34 99 325 1161 4369 16929 66625 264321 1052929 4203009 16794625 67143681 268505089 1073881089 4295245825 17180426241
loop(\(x,i).((((((x * x) + 1) * x) * x) + 1) * (x + 1)),1,loop(\(x,i).(x * 2),x,1))
A034665: 6 63 1365 37449 1118481 34636833 1090785345 34630287489 1103823438081 35253226045953 1127000493261825 36046397799139329 1153203048319815681 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) + (i + 2)) * x) * ((x * x) + 1)),1,loop(\(x,i).(x * 2),x,1))
A020532: 8 70 1292 34840 1065008 33685600 1074790592 34368127360 1099578737408 35184908961280 1125904201812992 36028831378708480 1152921779484766208 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) - loop(\(x,i).(x * 2),x,1))
A108958: 0 1 6 27 110 430 1652 6307 24054 91866 351692 1350030 5196204 20050108 77542376 300507427
(((loop(\(x,i).((2 + 1) * x),x,1) + x) + ((x * 2) * 2)) + loop(\(x,i).(x * 2),x,1))
A120845: 2 10 23 50 117 300 823 2350 6857 20240 60123 179250 535597 1602580 4799423 14381750
(((loop(\(x,i).((2 + 1) * x),x,1) + x) + ((x * 2) * 2)) - loop(\(x,i).(x * 2),x,1))
A120849: 0 6 15 34 85 236 695 2094 6345 19216 58075 175154 527405 1586196 4766655 14316214
(loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,0) + loop(\(x,i).((2 - x) - (x * 2)),x,1))
A120612: 1 1 17 49 353 1441 8177 37969 198593 966721 4912337 24325489 122336033 609554401 3054149297 15251614609
loop(\(x,i).((if (i mod (2 + 1)) <= 0 then (((2 + 2) * (x + 1)) + x) else x) + (x * 2)),x,1)
A018543: 1 3 9 67 201 603
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) - (x div 2)),x,1)
A337823: 1 2 2 4 5 9 9 13 13 17 21 21 27 28 29 33
(((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).((x * 2) - 1),(x div 2),(x mod 2))) - x) - 1)
A114960: 1 1 6 11 30 57 128 247 518 1013 2068 4083 8242 16369 32880 65519
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * ((i * 2) - 1)),i,1) + ((i * x) * 2)),x,1)
A089252: 1 6 72 1392 38016 1347840 58752000 3036579840 181428387840 12299042488320 932514044313600 78184097316864000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(x * x),2,(x - (((1 - x) * 2) * (2 + 1)))),2,0) mod (x + 1))
A245973-A214128: 0 0 0 0 1 0 1 0 0 6 5 0 1 8 6 0
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x),x,0) mod (x + 1))
A090396: 0 1 1 1 3 5 2 5 1 9 6 5 4 1 13 13
(if x <= 0 then 1 else (loop(\(x,i).(x * x),2,((((2 + 2) * 2) * (2 + 1)) - 1)) mod (x + 1)))
A070674-A070668: 1 1 1 1 1 1 2 1 4 1 1 1 3 9 1 1
(loop(\(x,i).(2 - x),x,((if ((x div (2 + 1)) mod 2) <= 0 then (x * 2) else 1) + 1)) div (x + 1))
A117907: 1 ~1 1 0 0 0 1 ~2 1 0 0 0 1 ~2 1 0
loop(\(x,i).loop(\(x,i).((x * x) * x),1,((((x * x) div (2 + 2)) + x) + 1)),1,(x + 1))
A267783: 8 64 216 729 1728 4096 8000 15625 27000 46656 74088 117649 175616 262144 373248 531441
((if ((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) div 2) <= 0 then ((x * x) - 1) else 1) * (x + 1))
A132414: ~1 0 3 4 75
((loop(\(x,i).(x * 2),x,1) - (((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) - 1)) mod (x + 1))
A339423: 0 0 0 2 0 2 0 6 3 2 0 6 0 2 3 14
(((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * x) div 2) * 2) + 1) div (x + 1))
A167948: 1 0 1 0 1 1 0 0 1 2 0 0 1 2 3 0
((loop(\(x,i).(x * 2),x,loop(\(x,i).((i * x) + 1),(2 + 2),2)) * (2 + 1)) mod (x + 1))
A249732: 0 0 0 0 2 0 1 0 6 4 3 0 7 2 3 0
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)))
A096302: 81 1620 24300 324000 4050000 48600000 567000000 6480000000 72900000000 810000000000 8910000000000 97200000000000 1053000000000000 11340000000000000 121500000000000000 1296000000000000000
(loop(\(x,i).(i * x),x,loop(\(x,i).((x - ((i * x) * 2)) * 2),(x * 2),1)) * (x + 1))
A065236: 1 24 10080 15966720 62270208000 482718652416000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x div (if i <= 0 then 1 else i)) + ((x * 2) * 2)) * 2) * 2),x,1) div (x + 1))
A034255: 1 10 120 1560 21216 297024 4243200 61526400 902387200 13355330560 199115837440 2986737561600 45030812467200 681895160217600 10364806435307520 158063298138439680
compr(\x.(loop(\(x,i).loop(\(x,i).((x mod 2) + 2),(x mod 2),(x div 2)),(2 + 2),x) - 1),(x + 1))
A277549: 1 4 5 9 13 16 17 20 21 25 29 33 36 37 41 45
(loop(\(x,i).(((((2 + 1) * x) div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1) * (x + 1))
A007744: 1 20 210 1680 11550 72072 420420 2333760 12471030 64664600 327202876 1622493600 7909656300 38003792400 180324117000 846321189120
(loop(\(x,i).(loop(\(x,i).(((x + 2) * (2 + 1)) + 1),i,1) + (x * 2)),x,1) - (x + 1))
A060157: 0 10 58 236 836 2766 8814 27472 84472 257522 780770 2358708 7108908 21392278 64307926 193185944
(loop(\(x,i).(((((x * 2) * 2) * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) div (x + 1))
A097184: 1 7 70 805 9982 129766 1742572 23960365 335445110 4763320562 68418604436 992069764322 14499481170860 213349508656940 3157572728122712 46968894330825341
((loop(\(x,i).((x - 1) * x),2,loop(\(x,i).((x * 2) + 1),x,0)) mod (x + 1)) + (x + 1))
A323309-A322857: 1 2 3 6 5 6 7 10 12 10 11 18 13 14 15 18
(loop(\(x,i).(loop(\(x,i).((i + 2) * x),(i - 1),1) + ((i + 2) * x)),x,1) * (x + 1))
A307642: 1 8 57 428 3510 31644 312984 3380544 39664080 502927200 6858181440 100135491840 1559197261440 25797280723200 452046655872000 8364495012249600
(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) - (i * x)),x,1) * (x + 1))
A110395: 1 18 246 3016 34920 390480 4266640 45866880 487198080 5128019200 53591788800 556898534400 5760319052800 59355533260800 609667001088000 6245327982592000
((if x <= 0 then 1 else (((loop(\(x,i).(x * x),2,(x + 1)) div (2 + 1)) + 1) * 2)) div (x + 1))
A184630: 1 6 18 43 83 144 228 341 486 666 887 1152 1464 1829 2250 2730
(((loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,(x * 2)) - 1)) + 1) * 2) + (x + 1))
A213748: 1 16 125 758 4071 20424 98185 458506 2096651 9436172 41941005 184545294 805298191 3489644560 15032352785 64424443922
(if (x div 2) <= 0 then 1 else ((((if (x mod (2 + 1)) <= 0 then (x mod 2) else 2) + 1) * 2) mod (x + 1)))
A340984: 1 1 0 0 1 0 2 6
(((if (x - 2) <= 0 then 1 else (((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1))) + 2) + (x + 1))
A033597: 4 5 6 8 9 9 9 10 12 14 15 15 15 16 18 20
(((if (x mod 2) <= 0 then (if (x mod (((2 + 1) * 2) + 1)) <= 0 then 2 else x) else 1) + 2) mod (x + 1))
A266875: 0 1 1 3 1 3 1 3 1 3 1 3 1 3 4 3
((loop(\(x,i).((loop(\(x,i).((x + 2) * x),2,2) - 1) * x),2,(x + 1)) + 2) * (x + 1))
A031757: 6243 24968 56175 99864 156035 224688 305823 399440 505539 624120 755183 898728 1054755 1223264 1404255 1597728
((loop(\(x,i).(loop(\(x,i).((i * x) + 1),(2 + 2),2) * x),2,(x + 1)) + 2) * (x + 1))
A031767: 7923 31688 71295 126744 198035 285168 388143 506960 641619 792120 958463 1140648 1338675 1552544 1782255 2027808
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(2 - (((2 + 2) * 2) * (x + 1))))
A017146: 60466176 289254654976 26559922791424 590490000000000 6278211847988224 42420747482776576 210832519264920576 839299365868340224 2824752490000000000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(2 - (((2 + 2) * 2) * (x + 1))))
A017148: 2176782336 56693912375296 12855002631049216 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2)),(x + 1))
A153236: 3 4 6 9 11 12 14 15 18 19 21 23 24 25 27 29
((loop(\(x,i).(x * x),x,loop(\(x,i).(x * 2),x,(2 + 1))) + 2) div ((2 + 2) * (x + 1)))
A255268: 1 4 1728 6879707136 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(((x + 2) + 2) * (x + 1)))
A070261: 4 10 2 28 40 6 70 88 12 130 154 20 208 238 30 304
compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)),x,(x * 2)),(x + 1))
A037461: 1 2 3 7 8 9 10 14 15 16 17 21 22 23 24 49
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(x * 2)) mod (x + 1))
A105283: 0 1 1 3 4 1 1 5 7 1 2 5 10 9 8 3
(((if ((if x <= 0 then 2 else ((x + 1) div 2)) mod (2 + 1)) <= 0 then 0 else 2) + (x mod 2)) + (x + 1))
A190136: 3 5 5 7 7 7 7 11 11 13 13 13 13 17 17 19
(loop(\(x,i).((2 + 1) * x),((x + 1) * 2),1) mod loop(\(x,i).((x * x) * x),2,(x + 1)))
A066431: 0 81 729 6561 59049 531441 4782969 43046721 0 486784401 727739626 3801397473 7390478182 5013665073 26942641524 68218142337
(loop(\(x,i).((x * 2) - (if (x mod (((2 + 2) + 1) * 2)) <= 0 then 1 else i)),x,2) - (x + 1))
A127193: 1 1 1 1 1 1 1 1 1 9 17 33 65 129 257 513
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) + 1)),((2 + 1) * x),(x + 1))
A006460: 1 2 2 4 4 4 2 1 2 1 4 1 1 4 4 2
(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,((2 + 1) * x)) + (x + 1))
A104279: 1 5 8 11 14 18 20 23 26 29 33 35 39 41 44 48
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * (x + 1))
A091512: 1 4 3 12 5 12 7 32 9 20 11 36 13 28 15 80
(loop(\(x,i).(((x * x) div loop(\(x,i).((2 + 1) * x),(i * 2),1)) + 1),2,x) mod (x + 1))
A316078: 0 1 1 1 1 1 1 1 1 2 2 3 4 5 6 9
loop(\(x,i).(x * x),1,(((x + 1) * 2) div loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1))))
A059152: 4 16 4 64 4 16 4 256 4 16 4 64 4 16 4 1024
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))
A096292-A093326-A054799-A001359: 3 5 11 17 29 41 59 71 101 107 137 149 179 191 197 227
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))
A111166: 2 5 11 17 29 41 59 71 101 107 137 149 179 191 197 227
((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A340691: 0 0 1 0 1 1 2 0 1 1 1 1 2 2 1 0
(loop(\(x,i).(i * x),(x div (2 + 2)),1) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A087255: 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 6
(loop(\(x,i).(((i * 2) + 1) * x),x,1) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A130187: 1 3 5 105 189 3465 19305 2027025 3828825 130945815 1249937325 105411381075 608142583125 30494006668125 412685556908625 191898783962510625
loop(\(x,i).(((2 + 2) * 2) div (x + 1)),2,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A082908: 1 1 2 1 4 2 4 1 8 4 8 2 8 4 8 1
(if (x mod 2) <= 0 then (((x + 2) * 2) + x) else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A306546: 4 1 10 1 16 3 22 1 28 5 34 3 40 7 46 1
loop(\(x,i).(x * x),1,loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x + 1)))
A337900: 1 16 225 3136 44100 627264 9018009 130873600 1914762564 28210561600 418151049316 6230734868736 93271169290000 1401915345465600 21147754404155625 320042195924198400
loop(\(x,i).(x * x),1,loop(\(x,i).(((((x * 2) * 2) * 2) div (i + 1)) - x),x,(x + 1)))
A113164: 1 36 225 400 225 36 1
loop(\(x,i).(((loop(\(x,i).(((x * x) - 1) * 2),2,2) * x) div (i + 1)) + x),x,(x + 1))
A017735: 1 72 2628 64824 1215450 18474840 237093780 2641902120 26088783435 231900297200 1878392407320 14002561581840 96851050941060 625806790696080 3799541229226200 21784036380896880
loop(\(x,i).(((loop(\(x,i).(((x + 1) * x) + 2),2,2) * x) div (i + 1)) - x),x,(x + 1))
A017788: 1 72 2556 59640 1028790 13991544 156238908 1473109704 11969016345 85113005120 536211932256 3022285436352 15363284301456 70907466006720 298824321028320 1155454041309504
loop(\(x,i).((((loop(\(x,i).((x + 2) * x),2,2) - 2) * x) div (i + 1)) + x),x,(x + 1))
A017743: 1 80 3240 88560 1837620 30872016 437353560 5373200880 58433559570 571350360240 5085018206136 41604694413840 315502265971620 2232785266876080 14832073558533960 92947660966812816
(loop(\(x,i).(i * x),(((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) + 1),1) + (x - 1))
A004870: 0 1 2 3 4 5 6 7 8 128 129 130 131 132 133 134
(if x <= 0 then 1 else ((if (((x div 2) - 2) - 2) <= 0 then (((2 + 2) + 1) * 2) else x) + (x - 1)))
A248499-A069715: 1 10 11 12 13 14 15 16 17 18 19 21 23 25 27 29
((loop(\(x,i).(loop(\(x,i).((x - i) * x),2,(x - 2)) * x),1,(x - 2)) * x) * (x - 1))
A159083: 0 0 0 0 0 0 0 5040 40320 181440 604800 1663200 3991680 8648640 17297280 32432400
(x div ((x + 2) div (loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1)))
A345698: 0 0 0 1 0 0 1 0 0 1 0 2 1 0 0 3
loop(\(x,i).(((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 2)) else 0) + 1) + x),x,1)
A031990: 1 2 3 4 6 7 8 9 12 13 14 18 19 24 31 32
loop(\(x,i).(((((if (2 - x) <= 0 then 2 else 1) + 1) * (((2 + 1) * 2) + 1)) + 1) * x),x,1)
A196666: 1 15 330 7260 159720 3513840 77304480 1700698560 37415368320 823138103040 18109038266880 398398841871360 8764774521169920 192825039465738240 4242150868246241280 4611686018427387903
loop(\(x,i).(((i div (((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1)) + 1) * x),x,1)
A264656: 1 1 1 1 1 2 4 8 16 32 96 288 864 2592 7776 31104
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((2 + 2) + 1),1) * x),x,1)
A109716: 1 111111 12345654321 1371737997260631 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div ((2 + 2) + 1)),x,loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A094987: 1 2 4 10 23 51 113 249 548 1207 2655 5843 12855 28281 62218 136880
loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i - 1),1) + x),x,1)
A024718: 1 2 5 15 50 176 638 2354 8789 33099 125477 478193 1830271 7030571 27088871 104647631
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A191467: 0 2 32 386 4160 42242 413792 3959426 37281920 347066882 3204309152 29403732866 268588249280 2444976817922 22198569382112 201143570584706
(loop(\(x,i).((2 + 1) * x),(x * 2),1) div loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A255575-A094991: 1 1 1 2 2 3 4 5 7 9 12 15 20 26 33 43
(loop(\(x,i).((2 + 1) * x),(x * 2),1) mod loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A139732: 0 2 32 43 1759 8628 60845 665254 2693114 24238026 97081413 1721158464 5603792461 22751557747 495431050944 1745987167100
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A016177: 0 1 15 169 1695 15961 144495 1273609 11012415 93864121 791266575 6612607849 54878189535 452866803481 3719823438255 30436810578889
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) mod loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A138973: 0 1 15 169 1695 15961 26846 450066 5247614 13156907 226316077 680627620 13354327932 65310761853 328708074010 1951441519231
loop(\(x,i).(x * 2),(x - ((x mod 2) * 2)),loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A182268: 1 7 196 686 38416 134456 7529536 26353376 1475789056 5165261696 289254654976 1012391292416 56693912375296 198428693313536 11112006825558016 38892023889453056
(loop(\(x,i).(i * x),(((2 + 2) + 1) * x),1) div loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A210278: 1 24 145152 10461394944 3892643213082624 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A074616: 2 12 74 468 3026 19932 133274 901668 6155426 42306732 292240874 2026154868 14085427826 98109713532 684326588474 4778079088068
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A121213: 0 2 24 218 1776 13682 102024 745418 5374176 38400482 272709624 1928498618 13597146576 95668307282 672119557224 4717043931818
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A138648: 0 2 24 93 526 1182 8274 42293 296051 1291107 9037749 24201743 169412201 453463532 732838474 17336900568
(((x * 2) - loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A120978: 0 4 20 104 552 2892 14908 75952 384080 1933460 9706596 48651000 243609208 1219108828 6098732684 30503229248
((loop(\(x,i).((2 + 1) * x),x,1) + (x * 2)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A120949: 2 10 38 158 714 3378 16366 80326 397202 1972826 9824694 49005294 244672090 1222297474 6108298622 30531927062
((loop(\(x,i).((2 + 1) * x),x,1) - (x * 2)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A120950: 2 6 30 146 698 3358 16342 80298 397170 1972790 9824654 49005250 244672042 1222297422 6108298566 30531927002
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A081627: 1 9 73 561 4177 30489 219673 1568961 11138977 78754089 555184873 3905825361 27438433777 192557317689 1350342630073 9464605441761
((loop(\(x,i).((x * 2) * 2),(x - 1),x) * (2 + 1)) + loop(\(x,i).((2 + 1) * x),x,1))
A086091: 1 6 33 171 849 4083 19161 88203 399777 1789155 7923369 34780155 151526385 655905747 2823355257 12093944427
(loop(\(x,i).(x - (((2 - x) - (x * 2)) * 2)),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A109021: 0 0 8 88 720 5360 38488 272328 1915040 13431520 94099368 658931768 4613230960 32294742480 226069574648 1582506154408
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1))
A139741: 0 8 112 1304 14560 160808 1770832 19484984 214352320 2357928008 25937365552 285311493464 3138427845280 34522710549608 379749828800272 4177248155066744
((loop(\(x,i).((x + 1) * 2),x,((x + 2) + 2)) div 2) + loop(\(x,i).((2 + 1) * x),x,1))
A267465: 3 9 24 62 160 418 1112 3018 8352 23522 67240 194554 568304 1672146 4946808 14692970
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (x * 2)) - loop(\(x,i).((2 + 1) * x),x,1))
A120990: 0 0 12 92 536 2872 14884 75924 384048 1933424 9706556 48650956 243609160 1219108776 6098732628 30503229188
(loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),x,2) + loop(\(x,i).((2 + 1) * x),x,1))
A333385: 3 37 587 9853 167123 2839957 48275867 820679533 13951521443 237175772677 4031987859947 68543792792413 1165244474990963 19809156067406197 336755653123584827 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1) + x),x,1)
A155587: 1 2 3 5 10 24 66 198 627 2057 6919 23715 82501 290513 1033413 3707853
loop(\(x,i).(loop(\(x,i).(((i * 2) + 1) * x),(i - 2),1) + (((i * 2) - 1) * x)),x,1)
A114160: 1 2 7 38 281 2634 29919 399342 6125265 106156530 2051433495 43734832470 1019650457385 25807495577850 704708234182575 20649996837971550
loop(\(x,i).(loop(\(x,i).((i + 1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x),x,1)
A229611: 1 14 160 1770 19485 214356 2357944 25937420 285311665 3138428370 34522712136 379749833574 4177248169405 45949729863560 505447028499280 5559917313492216
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) div (i + 1)) * ((i * 2) + 1)),i,1) + x),x,1)
A098405: 1 7 47 327 2343 17127 126951 950631 7173991 54471527 415652711 3184708455 24485137255 188802730855 1459525454695 11307626564455
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),i,1) + x),x,1)
A112696: 1 3 11 51 275 1619 10067 64979 431059 2920403 20119507 140513235 992530387 7078367187 50896392147 368577073107
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),i,1) - x),x,1)
A064306: 1 1 7 33 191 1153 7295 47617 318463 2170881 15028223 105365505 746651647 5339185153 38478839807 279201841153
(1 - ((((x * 2) * 2) + 1) mod (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1)))
A275724: 1 2 1 3 2 1 4 2 2 1 5 4 3 2 1 6
loop(\(x,i).(loop(\(x,i).(i + x),i,((((2 + 2) * (2 + 1)) - 1) * (i + 1))) + x),x,1)
A101860: 1 24 60 110 175 256 354 470 605 760 936 1134 1355 1600 1870 2166
loop(\(x,i).loop(\(x,i).(((((i * i) * i) * ((i * i) * i)) * i) + x),(i + 1),x),x,1)
A250212: 1 130 2446 21146 117971 494732 1695036 4992492 13072917 31153342 68720938 142120342 278268263 519829688 932250488 1613106744
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),i,(i + 1)) + x),x,1)
A014938: 1 43 1366 38410 1010815 25515421 625878268 15034586596 355440320845 8298240786655 191776931546866 4395106938053518 100020864586079851 2262634152933752305 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),i,(i + 1)) + x),x,1)
A014940: 1 45 1497 44089 1215369 32137161 825796489 20780659593 514663521417 12587355699337 304746506405001 7316566123340937 174431600326980745 4133772410690139273 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,(i + 1)) + x),x,1)
A057552: 1 5 20 76 286 1078 4081 15521 59279 227239 873885 3370029 13027729 50469889 195892564 761615284
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,(i + 1)) - x),x,1)
A331473: 1 3 12 44 166 626 2377 9063 34695 133265 513381 1982763 7674937 29767223 115655452 450067268
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),i,(i + 1)) + x),x,1)
A014936: 1 39 1122 28558 680163 15536757 344857924 7495831836 160347899205 3387224876995 70828953712806 1468712060491434 30241806008351527 618983574479950353 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),i,(i + 1)) + x),x,1)
A014941: 1 47 1634 50302 1449507 40067565 1076318788 28314922364 733113789893 18744640404523 474436263754662 11908153358721786 296798270974985959 4611686018427387903 4611686018427387903 4611686018427387903
(x - (loop(\(x,i).(x - (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 2)),x,x) - 1))
A053641: 1 1 3 1 5 3 7 1 9 3 11 5 13 7 15 1
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),x) + 1)
A192224: 2 4 6 12 18 30
A167777: 2 4 6 12 18 30 42 60 72 102 108 138 150 180 192 198
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),(x div 2),((x mod 2) + x)),x) + 1)
A011990: 1 6 7 12
A171153: 1 6 7 12 13 18 19 22 23 24 25 30 31 32 33 36
loop(\(x,i).((((loop(\(x,i).((x * 2) * 2),(i - 1),1) + x) + x) + (x mod 2)) + x),x,1)
A269708: 1 5 20 76 292 1132 4420 17356 68452 270892 1074820 4273036 17013412 67817452 270561220 1080119116
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),i,2) - x),x,1)
A318165: 1 3 13
A062992: 1 3 13 67 381 2307 14589 95235 636925 4341763 30056445 210731011 1493303293 10678370307 76957679613 558403682307
(loop(\(x,i).loop(\(x,i).(x * x),1,((((x * x) + 2) * 2) * (2 + 1))),1,(x * x)) - 1)
A153874: 143 323 11663
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,loop(\(x,i).((x * 2) * (2 + 1)),(x * x),1))
A135314: 1 42 63504 3456649728 6773484887801856 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,loop(\(x,i).(((x * 2) * 2) * 2),(x * x),1))
A135426: 1 56 200704 46036680704 675821419082285056 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * x),1))
A135428: 1 90 810000 729000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (2 + 1)),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x * x),1))
A135425: 1 42 86436 8716379112 43069878018202896 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1) + loop(\(x,i).((2 + 1) * x),(x * x),1))
A120838: 2 8 706 1972808 152630937346 298024071165562568 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((2 + 2) + 1) * x),(x * x),1) - loop(\(x,i).((2 + 1) * x),(x * x),1))
A120840: 0 2 544 1933442 152544843904 298022376588343682 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if (x mod (i + 1)) <= 0 then ((((2 + 1) * x) * (2 + 1)) + 1) else x) + x),x,1)
A018312: 1 2 4 41 82 164
loop(\(x,i).((if (i mod (2 + 2)) <= 0 then (((((2 + 2) + 1) * 2) * 2) + 1) else x) + x),x,1)
A222011: 1 2 4 8
A018346: 1 2 4 8 29 58 116 232
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then ((((x + 2) * x) + 1) * (2 + 1)) else x) + x),x,1)
A018389: 1 2 4 79 158 316
loop(\(x,i).((if (x mod 2) <= 0 then (2 + 1) else ((((x mod 2) + x) div (2 + 1)) + x)) + x),x,1)
A066267: 1 2 5 12 15 35
loop(\(x,i).(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x) * x),x,1)
A191555: 1 2 12 720 3628800 144850083840000 4611686018427387903 4611686018427387903
loop(\(x,i).(compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),i) + x),x,1)
A005521: 1 2 4 7 12 18 26 35 46 60 75 93 113 134 157 183
loop(\(x,i).(loop(\(x,i).((((x * x) div (2 + 2)) + ((x + 2) * x)) + 1),1,i) + x),x,1)
A212983: 1 5 15 33 62 104 162 238 335 455 601 775 980 1218 1492 1804
loop(\(x,i).(((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010983: 1 31 496 5456 46376 324632 1947792 10295472 48903492 211915132 847660528 3159461968 11058116888 36576848168 114955808528 344867425584
loop(\(x,i).(((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010945: 1 29 406 3654 23751 118755 475020 1560780 4292145 10015005 20030010 34597290 51895935 67863915 77558760 77558760
loop(\(x,i).((((((x * 2) * 2) * 2) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010993: 1 41 861 12341 135751 1221759 9366819 62891499 377348994 2054455634 10272278170 47626016970 206379406870 841392966470 3245372870670 11899700525790
loop(\(x,i).((((((2 + 2) + 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010978: 1 26 351 3276 23751 142506 736281 3365856 13884156 52451256 183579396 600805296 1852482996 5414950296 15084504396 40225345056
loop(\(x,i).((((((2 + 2) + 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010940: 1 24 276 2024 10626 42504 134596 346104 735471 1307504 1961256 2496144 2704156 2496144 1961256 1307504
loop(\(x,i).((((((x * 2) * 2) * (2 + 1)) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010989: 1 37 703 9139 91390 749398 5245786 32224114 177232627 886163135 4076350421 17417133617 69668534468 262596783764 937845656300 3188675231420
loop(\(x,i).((((((x * 2) * 2) * (2 + 1)) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010951: 1 35 595 6545 52360 324632 1623160 6724520 23535820 70607460 183579396 417225900 834451800 1476337800 2319959400 3247943160
loop(\(x,i).((((((2 + 1) * x) * (2 + 1)) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010980: 1 28 406 4060 31465 201376 1107568 5379616 23535820 94143280 348330136 1203322288 3910797436 12033222880 35240152720 98672427616
loop(\(x,i).((((((2 + 1) * x) * (2 + 1)) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010942: 1 26 325 2600 14950 65780 230230 657800 1562275 3124550 5311735 7726160 9657700 10400600 9657700 7726160
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A011001: 1 49 1225 20825 270725 2869685 25827165 202927725 1420494075 8996462475 52179482355 279871768995 1399358844975 6566222272575 29078984349975 122131734269895
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010963: 1 47 1081 16215 178365 1533939 10737573 62891499 314457495 1362649145 5178066751 17417133617 52251400851 140676848445 341643774795 751616304549
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010974: 1 22 253 2024 12650 65780 296010 1184040 4292145 14307150 44352165 129024480 354817320 927983760 2319959400 5567902560
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A010936: 1 20 190 1140 4845 15504 38760 77520 125970 167960 184756 167960 125970 77520 38760 15504
loop(\(x,i).((((((((x * 2) * 2) * 2) * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A017728: 1 65 2145 47905 814385 11238513 131115985 1329890705 11969016345 97082021465 718406958841 4898229264825 31022118677225 183746395242025 1023729916348425 5391644226101705
loop(\(x,i).(((((((2 + 2) * (2 + 1)) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A010979: 1 27 378 3654 27405 169911 906192 4272048 18156204 70607460 254186856 854992152 2707475148 8122425444 23206929840 63432274896
loop(\(x,i).(((((((2 + 2) * (2 + 1)) - 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A010975: 1 23 276 2300 14950 80730 376740 1560780 5852925 20160075 64512240 193536720 548354040 1476337800 3796297200 9364199760
loop(\(x,i).(((((((2 + 2) * (2 + 1)) - 1) * x) * 2) div (if i <= 0 then 1 else i)) - x),x,1)
A010937: 1 21 210 1330 5985 20349 54264 116280 203490 293930 352716 352716 293930 203490 116280 54264
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A010987: 1 35 630 7770 73815 575757 3838380 22481940 118030185 563921995 2481256778 10150595910 38910617655 140676848445 482320623240 1575580702584
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) - x),x,1)
A010949: 1 33 528 5456 40920 237336 1107568 4272048 13884156 38567100 92561040 193536720 354817320 573166440 818809200 1037158320
loop(\(x,i).(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A010976: 1 24 300 2600 17550 98280 475020 2035800 7888725 28048800 92561040 286097760 834451800 2310789600 6107086800 15471286560
loop(\(x,i).((((((((2 + 2) * 2) * 2) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A010986: 1 34 595 7140 66045 501942 3262623 18643560 95548245 445891810 1917334783 7669339132 28760021745 101766230790 341643774795 1093260079344
loop(\(x,i).((((((((2 + 2) * 2) * 2) * 2) + 1) * x) div (if i <= 0 then 1 else i)) - x),x,1)
A010948: 1 32 496 4960 35960 201376 906192 3365856 10518300 28048800 64512240 129024480 225792840 347373600 471435600 565722720
loop(\(x,i).((((((((2 + 2) * 2) * 2) * 2) - 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A010984: 1 32 528 5984 52360 376992 2324784 12620256 61523748 273438880 1121099408 4280561376 15338678264 51915526432 166871334960 511738760544
(if (x - (2 + 2)) <= 0 then 1 else (if ((x - (x div (2 + 2))) mod ((2 + 2) + 1)) <= 0 then 0 else 2))
A044946: 1 1 1 1 1 2 0 2 2 2 2 2 2 0 2 2
(loop(\(x,i).(x * 2),x,(x - (1 - (if (x mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 0)))) div 2)
A087982: 1 0 2 8 24 128
(loop(\(x,i).(((x * x) div (2 + 1)) * x),1,loop(\(x,i).(((2 + 1) * x) + 2),x,0)) div 2)
A026809: 0 1 84 2925 85320 2362041 64304604 1741001445 47050068240 1270739210481 34313445309924 926494403955165 25015631334908760 675424587904113321 4611686018427387903 4611686018427387903
(loop(\(x,i).(1 - (x * 2)),compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x),0) div 2)
A121290: 0 1 5 85 341 5461 21845 349525 22369621 89478485 5726623061 91625968981 366503875925 5864062014805 375299968947541 24019198012642645
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) * 2) - x),x,0) + 2)
A086529: 2 4 6 8 14 12 22 16 30 28 34 40 42 44 50 56
((loop(\(x,i).(if x <= 0 then 1 else ((((x mod 2) * 2) + x) + (x div (2 + 1)))),x,0) + 1) div 2)
A067570: 0 1 2 3 4 5 7
A272072: 0 1 2 3 4 5 7 10
A195944: 0 1 2 3 4 5 7 10 14
A099559: 0 1 2 3 4 5 7 10 14 19 25 33 44 59 79 105
((if (x mod (2 + 2)) <= 0 then 0 else ((if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else 1) + 1)) div 2)
A325144: 0 1 1 1 0 1 1 1 0 2 1 1 0 1 1 3
(((if x <= 0 then 0 else (((x - 1) mod (((if (x mod 2) <= 0 then 2 else x) * 2) + 1)) + 1)) + 1) div 2)
A278537: 0 1 1 2 2 3 1 4 2 5 3 6 1 7 2 8
((if x <= 0 then 2 else ((x mod ((x div ((if (x mod (2 + 2)) <= 0 then 1 else 2) + 2)) + 1)) + 1)) div 2)
A029395: 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 2
(if x <= 0 then 0 else (if (x mod (((((2 - x) mod ((x div 2) + 2)) div 2) * 2) + 1)) <= 0 then 1 else 2))
A328523: 0 1 1 1 2 1 1 1 1 2 2 2 2 2 1 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017554: 1024 289254654976 141167095653376 6278211847988224 97656250000000000 839299365868340224 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017556: 4096 56693912375296 95428956661682176 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,x),x) * (2 + 1)) + 1) * 2)
A062548: 2 14 38 50 110 122 146 158 326 338 362 374 434 446 470 482
(((loop(\(x,i).(((2 + 1) * x) - 1),x,2) * (loop(\(x,i).(x * 2),x,2) + 1)) - 1) * 2)
A330170: 10 48 250 1392 8050 47448 282250 1686432 10097890 60526248 362976250 2177317872 13062296530 78368963448 470199366250 2821153019712
(loop(\(x,i).((i + 2) * x),loop(\(x,i).((((2 + 2) + 1) * (i + 1)) + 1),x,1),1) * 2)
A045518: 6 6227020800 6402373705728000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) * (2 + 1)),x,1) + 1) div 2)
A098401: 1 3 27 270 2835 30618 336798 3752892 42220035 478493730 5454828522 62482581252 718549684398 8290957896900 95938227092700 1112883434275320
((loop(\(x,i).(loop(\(x,i).((x + 1) * x),(x div (2 + 2)),1) * (x + 1)),x,1) + 1) div 2)
A218270: 1 1 2 2 5 33 4611686018427387903
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * ((2 + 2) * 2)),x,1) + 1) div 2)
A098402: 1 4 48 640 8960 129024 1892352 28114944 421724160 6372720640 96865353728 1479398129664 22684104654848 348986225459200 5384358907084800 83278084429578240
((loop(\(x,i).(((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * 2),x,1) + 1) div 2)
A082140: 1 7 56 336 1680 7392 29568 109824 384384 1281280 4100096 12673024 38019072 111132672 317521920 889061376
((loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2),x,1) + 1) div 2)
A082139: 1 6 42 224 1008 4032 14784 50688 164736 512512 1537536 4472832 12673024 35094528 95256576 254017536
(loop(\(x,i).(((if (x mod (2 + 2)) <= 0 then 1 else 0) + (x * 2)) * (2 + 1)),(x + 1),1) div 2)
A037648: 3 18 109 657 3942 23653 141921 851526 5109157 30654945 183929670 1103578021 6621468129 39728808774 238372852645 1430237115873
(loop(\(x,i).((x + 1) div 2),(x * 2),loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1)) div 2)
A147789: 3 4 7 10 15 23 34 51 77 115 173 259 389 584 876 1314
(loop(\(x,i).((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) + ((x * 2) * 2)),(x + 1),1) div 2)
A037772: 3 13 52 210 843 3373 13492 53970 215883 863533 3454132 13816530 55266123 221064493 884257972 3537031890
(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),((i * 2) - 1),2) + (x * 2)),(x + 1),1) div 2)
A188527: 4 35 313 2813 25309 227765 2049853 18448613 166037389 1494336245 13449025693 121041230213 1089371069869 9804339624725 88239056614333 794151509512613
((if x <= 0 then 0 else loop(\(x,i).((((x * 2) * 2) * 2) * ((i * 2) - 1)),(x - 1),1)) * 2)
A052737: 0 2 16 384 15360 860160 61931520 5449973760 566797271040 68015672524800 9250131463372800 1406019982432665600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((1 - x) * 2) mod (loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1)) + 1) + 2)
A227727: 3 3 3 3 3 4 3 3 4 3 3 3 5 3 7 3
((x - ((x mod loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1)) - 1)) div 2)
A231563: 0 1 0 2 0 2 0 4 0 0 0 4 0 0 0 8
((loop(\(x,i).((if (x - (i + 1)) <= 0 then ((x + 1) * 2) else (0 - 2)) + x),x,1) + 1) div 2)
A132667: 1 3 2 6 5 4 12 11 10 9 8 7 21 20 19 18
(((x + 2) + 1) mod (if x <= 0 then 1 else (((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) + 1) * 2)))
A303534: 0 0 1 0 1 0 1 0 1 0 1 2 3 4 5 0
((((x + 1) div ((x mod (loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1)) + 2)) + 1) div 2)
A229878: 0 0 1 0 1 2
A289251: 0 0 1 0 1 2 0 1 2 3 0 1 3 2 4 0
(if (x mod (2 + 1)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 1) * 2) + 1)) else 2)
A040436: 21 2 2 42 2 2 42 2 2 42 2 2 42 2 2 42
((((if x <= 0 then 2 else loop(\(x,i).((2 + 1) * x),(x div 2),(x div (2 + 1)))) div 2) + 1) div 2)
A345370: 1 0 0 1 2 2 14
((((if x <= 0 then 0 else (((loop(\(x,i).(x * x),(x - 1),2) + 2) * x) + 1)) * 2) + 1) + 2)
A154300: 3 13 29 113
((if (x mod (2 + 1)) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040670: 26 2 2 52 2 2 52 2 2 52 2 2 52 2 2 52
((((loop(\(x,i).((i * x) * 2),(x div 2),1) + loop(\(x,i).(i * x),x,1)) div 2) + 1) div 2)
A262480: 1 1 1 2 8 32 192 1272 10176 90816 908160 9980160 119761920 1556766720 21794734080 326918753280
((if x <= 0 then 2 else (((loop(\(x,i).(i * x),(((x + 2) * x) + 1),1) div 2) div 2) + 1)) div 2)
A086829: 1 3 45360 2615348736000 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x div ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + 2)) + 1) * 2))
A287155: 1 2 2 2 4 4 4 4 6 6 8 6 8 8 8 8
((((loop(\(x,i).(i + x),((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),1) div 2) div 2) + 1) div 2)
A029194: 1 0 1 0 1 1 2 1 3 1 4 2 5 3 6 4
((if (x - 1) <= 0 then 1 else loop(\(x,i).((x + 2) * x),(x - 2),(((2 + 2) * 2) + 1))) + 2)
A078225: 3 3 11 101 10001 100000001 10000000000000001 4611686018427387903 4611686018427387903
(if (x mod (2 + 2)) <= 0 then ((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) else 2)
A040620: 25 2 2 2 50 2 2 2 50 2 2 2 50 2 2 2
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) mod (((2 + 2) + 1) * 2))
A208279: 1 2 6 0 0 2 4 2 0 0 6 2 6 0 0 0
(if x <= 0 then 1 else ((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + (x div ((2 + 2) + 1))) + 2))
A332486: 1 4 5 6 7 10 11 12 13 14 16 17 18 19 20 22
(if x <= 0 then 1 else ((x mod ((if (x mod ((x mod 2) + 2)) <= 0 then 1 else (x div (2 + 2))) + 1)) * 2))
A264782: 1 0 0 2 0 2 0 2 0 2 0 4 0 2 0 2
((loop(\(x,i).(x * 2),(x - 1),(loop(\(x,i).(((2 + 1) * x) - 1),x,2) div 2)) + 1) div 2)
A154968: 1 1 7 40 244 1456 8752 52480 314944 1889536 11337472 68024320 408146944 2448879616 14693281792 88159682560
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) * 2) + 1) * 2))
A017099: 2048 100000000000 64268410079232 3670344486987776 70188843638032384 717368321110468608 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) * 2) + 1) * 2)))
A017014: 1024 3486784401 1099511627776 41426511213649 590490000000000 4808584372417849 27197360938418176 119042423827613001 430804206899405824 1346274334462890625 3743906242624487424
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) * 2) + 1) * 2)))
A017016: 4096 282429536481 281474976710656 21914624432020321 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((2 - (i mod 2)) * 2),x,1) * (2 + 1))) div 2)
A254076: ~1 ~2 ~4 1 2 13 26 61 122 253 506 1021 2042 4093 8186 16381
(if x <= 0 then 1 else (((x + 1) div (((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) * (2 + 1))) div 2))
A261139: 1 0 0 0 0 1 0 0 0 1 0 0 1 2 1 0
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) * (2 + 1)) + 2))
A016943: 2048 8589934592 4049565169664 204800000000000 3670344486987776 36028797018963968 238572050223552512 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903
((2 + 1) mod (((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 2) div (2 + 1)) + 2))
A144209: 1 1 0 1 0 0 1 0 0 0 1 0 0 0 3 1
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) + ((2 + 1) * 2))
A153045: 10 13 16 18 19 22 23 25 28 30 31 33 34 37 38 40
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + ((2 + 1) * 2))
A097069: 6 7 8 10 11 13 14 16 19 20 23 25 26 28 31 34
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,((2 + 1) * 2))
A253947: 6 48 216 720 1980 4752 10296 20592 38610 68640 116688 190944 302328 465120 697680 1023264
(loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((x + 1) * (2 + 1)),x,(2 + 1))) div 2)
A203243: 3 39 390 3630 33033 298389 2688780 24208860 217909263 1961271939 17651713170 158866215690 1429798332693 12868192168689 115813751041560 1042323823944120
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017194: 1024 25937424601 10240000000000 420707233300201 6278211847988224 52599132235830049 303305489096114176 1346274334462890625 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017196: 4096 3138428376721 4096000000000000 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) * (2 + 1)) + 2)
A172048: 2 14 23 32 38 41 50 53 59 68 74 77 83 86 95 98
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(loop(\(x,i).((x * x) * 2),x,2) - 1)) + 2)
A091502: 3 51 6225
((loop(\(x,i).((x * 2) - (((x * 2) - (x div (if i <= 0 then 1 else i))) mod 2)),x,2) + 1) div 2)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A123464: 1 2 4 8 16 32 64 128 256 512
A133025: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8191 16382 32764
(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),(x + 2),1) * 2)
A250870: 90 440 2002 8736 37130 155080 640002 2619056 10653370 43144920 174174002 701478976 2820264810 11324105960 45425564002 182089676496
((loop(\(x,i).((x * 2) * 2),x,(2 + 2)) + loop(\(x,i).((2 + 1) * x),(x + 2),1)) - 2)
A288795: 11 41 143 497 1751 6281 22943 85217 321191 1225721 4725743 18371537 71891831 282784361 1116788543 4424107457
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((x * 2) + 1) * 2))
A031337: 7 19 37 53 71 89 107 131 151 173 193 223 239 263 281 311
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) div 2)
A081338: 1 7 53 427 3593 31087 273533 2430547 21718673 194686807 1748275013 15714943867 141336838553 1271543265727 11441447985293 102960824836387
(if x <= 0 then 1 else (loop(\(x,i).(((2 + 1) * x) + 1),((x div 2) + 1),((x mod 2) + 1)) div 2))
A083462: 1 3 6 11
A297443: 1 3 6 11 20 33 60 101 182 303 546 911 1640 2733 4920 8201
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017302: 1024 61917364224 26559922791424 1125899906842624 17080198121677824 144555105949057024 839299365868340224 3743906242624487424 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017304: 4096 8916100448256 12855002631049216 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else ((loop(\(x,i).(((x + 2) * (x + 2)) + 2),2,(2 + 1)) * x) + 1)) - 2)
A004929: 0 842 1685 2528 3371 4214 5057 5900 6743 7586 8429 9272 10115 10958 11801 12644
((loop(\(x,i).((x * 2) * (0 - 2)),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A083578: 1 1 26 76 776 3376 25376 131776 872576 4907776 30757376 179301376 1096779776 6496792576 39316299776 234555621376
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A081189: 1 7 50 364 2696 20272 154400 1188544 9228416 72147712 567104000 4476365824 35448129536 281408253952 2238205337600 17827278536704
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A081201: 0 1 14 148 1400 12496 107744 908608 7548800 62070016 506637824 4113568768 33271347200 268347559936 2159841173504 17357093552128
loop(\(x,i).((x * 2) * (2 + 1)),(x - 1),(loop(\(x,i).(((2 + 1) * x) - 1),x,1) div 2))
A099139: 0 1 12 252 4320 79056 1415232 25520832 459095040 8265390336 148766948352 2677865536512 48201216860160 867624080265216 15617220384079872 281110045277601792
(if (x - 2) <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - 2))
A289652: 1 1 1 3 12 40 130 427 1428 4860 16794 58784 208010 742898 2674438 9694843
(loop(\(x,i).(x * x),1,loop(\(x,i).(x - (x div (((x div (2 + 2)) - 2) - 2))),x,1)) * 2)
A018229: 2 8 18 32 72 128 288 1152
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) + 1) * 2)
A089257: 4 6 8 12 14 18 24 26 32 36 38 42 44 54 56 66
(loop(\(x,i).(((x - 2) * x) div ((x div 2) + 1)),1,loop(\(x,i).((x * 2) * 2),x,1)) + 2)
A267847: 1 4 26 122 506 2042 8186 32762 131066 524282 2097146 8388602 33554426 134217722 536870906 2147483642
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) div 2)
A081343: 1 7 58 532 5128 50512 502048 5008192 50032768 500131072 5000524288 50002097152 500008388608 5000033554432 50000134217728 500000536870912
loop(\(x,i).((x * 2) + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),2)
A097743: 5 11 47 191 3071 12287 196607 786431 12582911 805306367 3221225471 206158430207 3298534883327 13194139533311 211106232532991 13510798882111487
loop(\(x,i).((x * 2) * 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),2)
A139286: 8 32 512 8192 2097152 33554432 8589934592 137438953472 35184372088832 144115188075855872 2305843009213693952 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + loop(\(x,i).(x * 2),x,1)) div 2)
A092176: 0 1 3 6 12 21 39 72 138 269 526 1041 2067 4116 8214 16409
loop(\(x,i).(x * x),1,(((if (x mod 2) <= 0 then ((x mod (2 + 2)) + 2) else 1) * (x + 1)) div 2))
A227168: 1 1 36 4 25 9 196 16 81 25 484 36 169 49 900 64
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * 2) * 2)),(x + 1)) + 2)
A156288: 5 8 10 11 14 15 17 20 23 24 25 26 29 30 31 32
loop(\(x,i).((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2),1,((x + 1) * 2))
A254434: 1 1 1 2 1 1 2 1 1 2 1 2 7 1 1 2
((x - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))) + ((x + 1) * 2))
A185869: 2 7 9 16 18 20 29 31 33 35 46 48 50 52 54 67
((if x <= 0 then 2 else (loop(\(x,i).(((((x div 2) * 2) * 2) - 1) * 2),2,x) mod (x + 1))) + 2)
A034927: 4 2 3 4 6 2 4 8
(if x <= 0 then 1 else loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),(x - 1),2))
A115125: 1 2 4 16 80 448 2688 16896 109824 732160 4978688 34398208 240787456 1704034304 12171673600 87636049920
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,1) mod loop(\(x,i).(x * 2),(x - 1),2))
A234038: 1 1 1 1 9 25 57 57 57 57 569 1593 3641 3641 3641 3641
(((if (x mod 2) <= 0 then (((((2 + 1) * 2) + 1) * 2) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040840: 29 2 58 2 58 2 58 2 58 2 58 2 58 2 58 2
(((if (x mod (2 + 1)) <= 0 then (((2 + 1) * 2) * (2 + 1)) else 1) + 1) * (if x <= 0 then 1 else 2))
A040350: 19 4 4 38 4 4 38 4 4 38 4 4 38 4 4 38
((if (x mod (2 + 2)) <= 0 then ((((2 + 1) * 2) * (2 + 1)) + 1) else 1) * (if x <= 0 then 1 else 2))
A040357: 19 2 2 2 38 2 2 2 38 2 2 2 38 2 2 2
((if (x mod (2 + 1)) <= 0 then (((((2 + 2) * 2) * 2) * 2) - 1) else 1) * (if x <= 0 then 1 else 2))
A040954: 31 2 2 62 2 2 62 2 2 62 2 2 62 2 2 62
((if (x mod (2 + 2)) <= 0 then (((((2 + 2) * 2) * 2) * 2) - 1) else 1) * (if x <= 0 then 1 else 2))
A040955: 31 2 2 2 62 2 2 2 62 2 2 2 62 2 2 2
(((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1) * (if x <= 0 then 1 else 2))
A292586: 1 2 2 2 2 6 2 2 2 6 2 6 2 6 6 2
((if (x mod (((x + 1) mod ((x div (2 + 2)) + 2)) + 1)) <= 0 then 1 else 2) * (if x <= 0 then 1 else 2))
A160691: 1 2 2 2 4 2 2 4 2 2 4 2 2 4 2 4
((if (x mod 2) <= 0 then 1 else (x mod (x - ((x - 1) mod ((2 + 2) * 2))))) div (if x <= 0 then 1 else 2))
A263397: 1 0 0 0 0 0 0 0 0 0 0 1 0 2 0 3
((loop(\(x,i).((2 + 1) * x),((x + 1) div 2),1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A032120: 1 3 6 18 45 135 378 1134 3321 9963 29646 88938 266085 798255 2392578 7177734
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A081336: 1 5 29 185 1241 8525 59189 412865 2885681 20186645 141267149 988751945 6920909321 48445302365 339113927909 2373787929425
(((((loop(\(x,i).(x * 2),x,2) + 2) + 2) * 2) + loop(\(x,i).((2 + 1) * x),x,1)) + 2)
A254365: 15 21 35 69 155 381 995 2709 7595 21741 63155 185349 547835 1627101 4848515 14479989
((2 - (((x * 2) + 1) mod (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))) div 2)
A177994: 1 1 1 2 1 1 2 1 1 1 3 1 2 1 1 3
(loop(\(x,i).(x * 2),x,((loop(\(x,i).(((x + 2) * (x + 1)) div 2),2,x) - x) - 1)) div 2)
A033463: 1 8 50 248 1048 3952 13696 44480 137216 406016 1160704 3223552 8734720 23171072 60342272 154615808
loop(\(x,i).(x * x),(x * 2),loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((0 - 2) - 2)))
A204041: ~4 2560000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x * 2) - 1),((x - 1) * x),loop(\(x,i).((x * 2) + 1),x,0)) div 2) * 2)
A153836: 0 0 8 384 57344 31457280 66571993088 554153860399104 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((loop(\(x,i).((0 - x) * 2),x,1) div ((2 + 2) + 1)) + 1) div 2) * 2))
A118405: 1 0 0 ~2 4 ~6 12 ~26 52 ~102 204 ~410 820 ~1638 3276 ~6554
((if x <= 0 then (2 + 1) else ((if (2 - x) <= 0 then 1 else (((2 + 2) * (2 + 1)) + 1)) * 2)) + 2)
A052470: 5 28 4 4 4 4 4 4 4 4 4 4 4 4 4 4
(((loop(\(x,i).((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) + (i + x)),x,1) + 1) div 2) div 2)
A192225: 0 1 2 5
A058668: 0 1 2 5 6 13 28
((((loop(\(x,i).(loop(\(x,i).(x * 2),(x mod (i + 1)),2) + x),x,0) div 2) + 1) div 2) + 2)
A078139: 2 3 5 7 11 19 23
((if x <= 0 then 0 else ((((if (x - 2) <= 0 then 1 else 2) + x) + (x div ((2 + 2) + 1))) + 2)) * 2)
A167692: 0 8 10 14 16 20 22 24 26 28 32 34 36 38 40 44
((loop(\(x,i).(x * 2),x,(((loop(\(x,i).(x * 2),x,1) + (x mod 2)) + 2) + 1)) div 2) div 2)
A225826: 1 3 7 24 76 288 1072 4224 16576 66048 262912 1050624 4197376 16785408 67121152 268468224
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017578: 1048576 1099511627776 296196766695424 10485760000000000 144555105949057024 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017580: 16777216 281474976710656 232218265089212416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) + 1) * 2) * 2))
A017123: 4194304 743008370688 204800000000000 8293509467471872 131621703842267136 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) + 1) * 2) * 2)))
A017038: 1048576 25937424601 3570467226624 95367431640625 1125899906842624 8140406085191601 42420747482776576 174887470365513049 604661760000000000 1822837804551761449 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) + 1) * 2) * 2)))
A017040: 16777216 3138428376721 1156831381426176 59604644775390625 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (i mod 2)) - 1) * x),((x * 2) + 1),2) * 2)
A003956: 8 192 92160 743178240 97029351014400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).(((x * x) * 2) - 1),2,2))
A243239: 1 10 3 30 9 90 27 76 81 34 49 5 50 15 53 45
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod loop(\(x,i).(((x + 2) * x) + 1),2,2))
A014390: 1 7 49 43 1 7 49 43 1 7 49 43 1 7 49 43
(((if x <= 0 then 2 else ((((loop(\(x,i).(x * x),x,(2 + 1)) + 2) * x) * x) + 1)) + 2) + 2)
A118949: 6 16 337
(if x <= 0 then 0 else (x - ((x + 1) mod ((1 - ((if (x - (2 + 2)) <= 0 then 0 else 2) + 2)) * 2))))
A343045-A343041: 0 1 3 3 5 5 11 11 11 11 11 11 17 17 17 17
(if x <= 0 then 1 else (((x + 1) div ((if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + 2)) + 2))
A194287: 1 2 2 3 3 3 4 4 4 4 4 6 5 5 5 6
((if x <= 0 then 2 else ((if (x mod 2) <= 0 then x else (1 - x)) mod ((((2 + 2) + 1) * 2) * 2))) div 2)
A137301: 1 0 1 9 2 8 3 7 4 6 5 5 6 4 7 3
(((loop(\(x,i).(x * x),1,((if (x mod 2) <= 0 then 2 else 0) + ((x div 2) + 1))) div 2) div 2) div 2)
A008734: 1 0 2 0 3 1 4 2 6 3 8 4 10 6 12 8
((if x <= 0 then 0 else ((x div ((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 1 else 2) + 2)) + 2)) + 2)
A104058: 2 4 4 4 5 5 5 5 6 7 7 7 7 7 7 7
(if (x mod 2) <= 0 then 1 else ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 2) * 2))
A240226: 1 4 1 4 1 4 1 16 1 4 1 4 1 4 1 16
(((if x <= 0 then 1 else (((if ((x div 2) - 2) <= 0 then 1 else (2 + 2)) + x) + (2 + 2))) + 2) + 2)
A262665: 5 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27
(loop(\(x,i).(x * 2),(x + 2),(loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 2)) * 2)
A234133: 32 80 192 512 1280 3584 9216 26624 69632 204800 540672 1605632 4259840 12713984 33816576 101187584
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (loop(\(x,i).(((x * x) * x) + 2),2,2) - 2))
A216127: 1 6 36 216 296 776 656 936 616 696 176 56 336 16 96 576
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (loop(\(x,i).(((x * x) * x) + 2),2,2) - 2))
A216125: 1 5 25 125 625 125 625 125 625 125 625 125 625 125 625 125
(loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) mod ((2 + 2) * 2))
A133888: 1 1 5 5 7 7 3 3 6 6 6 6 2 2 2 2
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),x) + ((2 + 2) * 2))
A153047: 12 15 18 20 21 24 25 27 30 32 33 35 36 39 40 42
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + ((2 + 2) * 2))
A097363: 8 9 10 12 13 15 16 18 21 22 25 27 28 30 33 36
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017626: 1073741824 10240000000000 1125899906842624 27197360938418176 303305489096114176 2113922820157210624 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017628: 68719476736 4096000000000000 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,2)) div 2) div 2)
A080162: 1 121 12321 1234321 123454321 12345654321 1234567654321 123456787654321 12345678987654321 4611686018427387903
A068117: 1 121 12321 1234321 123454321 12345654321 1234567654321 123456787654321 12345678987654321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A261570-A173426: 1 121 12321 1234321 123454321 12345654321 1234567654321 123456787654321 12345678987654321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((x + 2) + 2) + 2))
A224534: 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (if (i - 2) <= 0 then 0 else 2)),(x * 2),2) div 2)
A267523: 1 100 10011 1001111 100111111 10011111111 1001111111111 100111111111111 10011111111111111 1001111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then ((2 + 2) + 1) else ((if (x - 2) <= 0 then 1 else x) + x)) + (((x * 2) * 2) * 2))
A191595: 5 10 19 30 40 50
((x - ((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1) * (2 + 1))) div (2 + 2))
A332502: 0 1 1 3 2 2 4 4 3 3 6 5 5 4 4 8
(1 - ((if (x mod 2) <= 0 then (if (x mod (2 + 1)) <= 0 then 1 else x) else (x mod (2 + 1))) mod (2 + 2)))
A071859: 0 0 ~1 1 1 ~1 0 0 1 1 ~1 ~1 0 0 ~1 1
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),((x * 2) - 1),x) * (2 + 2))
A268149: 0 24 1120 33264 823680 18475600 389398464 7862853600 153876579840 2940343837200 55138611528000 1018383898440480 18574619721465600 335240928272918304 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) mod (2 + 2))
A092412: 1 2 1 3 1 2 1 0 1 2 1 3 1 2 1 1
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),x,(2 + 2))
A073679: 4 6 9 14 21 32 45 62 81 104 133 164 201 242 285 332
((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(x - 2),x) + x),1,(x - 1)) * x) div (2 + 2))
A229665: 0 0 1 3 12 50 210 861 3416 13140 49230 180455 649572 2302950 8060234 27900705
(if (x * x) <= 0 then 1 else loop(\(x,i).((x * x) * x),1,((((x + 2) * 2) + x) * (2 + 2))))
A066693: 1 21952 64000
(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) * (2 + 2))
A090658: 4 8 12 20 24 32 44 48 60 68 72 80 84 104 108 128
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * 2) * 2)),x) * (2 + 2))
A083094: 0 8 20 24 56 60 72 80 164 168 180 188 216 224 236 240
(loop(\(x,i).(x * x),1,compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x)) - (2 + 2))
A245034: 5 21 77 117 221 285 437 725 837 1221 1517 1677 2021 2597 3245 3477
loop(\(x,i).((x * 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2))
A139288: 4 16 256 4096 1048576 16777216 4294967296 68719476736 17592186044416 72057594037927936 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i mod 2) + x) * 2) - 1) * 2),x,1) + loop(\(x,i).(0 - x),x,(2 + 2)))
A007572: 5 2 26 86 362 1430 5738 22934 91754 366998 1468010 5872022 23488106 93952406 375809642 1503238550
(compr(\x.(2 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x) - (2 + 2))
A097539: 1 9 13 25 33 37 49 57 69 85 93 97 105 109 133 145
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,(2 + 2))
A088860: 4 12 60 420 4620 60060 1021020 19399380 446185740 12939386460 401120980260 14841476269620 608500527054420 26165522663340060 1229779565176982820 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017326: 1048576 289254654976 63403380965376 2064377754059776 27197360938418176 210832519264920576 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017328: 16777216 56693912375296 36520347436056576 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 1) * x) + 2) * 2))
A016967: 4194304 100000000000 17592186044416 584318301411328 8293509467471872 70188843638032384 419430400000000000 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) - x) * (2 + 1)),x,2) div 2)
A004987: 1 3 18 126 945 7371 58968 480168 3961386 33011550 277297020 2344420260 19927572210 170150808870 1458435504600 12542545339560
((if x <= 0 then 0 else (loop(\(x,i).((x div (((x mod 2) * (2 + 1)) + 2)) + 2),2,x) div 2)) + 2)
A049837: 2 3 3 3 4 3 3 3 4 3 3 4 5 4 3 3
((loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,2) - loop(\(x,i).((x * 2) * 2),x,2)) * 2)
A054401: 0 8 60 368 2100 11528 61740 325088 1690980 8717048 44633820 227363408 1153594260 5835080168 29443836300 148292923328
(loop(\(x,i).(x * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) * 2)
A143928: 18 50 98 242 338 578 722 1058 1682 1922 2738 3362 3698 4418 5618 6962
(loop(\(x,i).(x * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) div 2)
A216244: 4 12 24 60 84 144 180 264 420 480 684 840 924 1104 1404 1740
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 2)
A061725: 6 11 27 51 123 171 291 363 531 843 963 1371 1683 1851 2211 2811
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 2)
A049001: 2 7 23 47 119 167 287 359 527 839 959 1367 1679 1847 2207 2807
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * 2)
A079704: 8 18 50 98 242 338 578 722 1058 1682 1922 2738 3362 3698 4418 5618
loop(\(x,i).((x * 2) * 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),2)
A100626: 32 128 2048 32768 8388608 134217728 34359738368 549755813888 140737488355328 576460752303423488 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * 2)
A172191: 32 162 1250 4802 29282 57122 167042 260642 559682 1414562 1847042 3748322 5651522 6837602 9759362 15780962
loop(\(x,i).(x * x),1,((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2))
A069262: 16 36 100 196 484 676 1156 1444 2116 3364 3844 5476 6724 7396 8836 11236
loop(\(x,i).(x * 2),x,((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2))
A265127: 4 12 40 112 352 832 2176 4864 11776 29696 63488 151552 335872 704512 1540096 3473408
(loop(\(x,i).(x * 2),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A188545: 1 3 10
A239885: 1 3 10 28 88 208 544 1216 2944 7424 15872 37888 83968 176128 385024 868352
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (loop(\(x,i).(x * 2),x,2) + 2))
A265160: 4 7 13 23 43 77 145 275 535 1053 2079 4133 8233 16427 32815 65589
loop(\(x,i).(((((x * x) - 1) * x) div 2) div (2 + 1)),1,((if x <= 0 then 1 else (x + 2)) * 2))
A156126: 1 35 84 165 286 455 680 969 1330 1771 2300 2925 3654 4495 5456 6545
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((if x <= 0 then 1 else (x + 2)) * 2))
A174008: 2 7 11 15 21 25 31 35 41 49 53 61 67 71 77 85
(loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) div 2)
A052181: 1 12 72 300 990 2772 6864 15444 32175 62920 116688 206856 352716 581400 930240 1449624
(if x <= 0 then 1 else ((loop(\(x,i).((x div 2) + 2),(x - ((2 + 2) * 2)),1) + (x * 2)) * 2))
A315172: 1 6 10 14 18 22 26 30 34 40 46 50 54 58 62 66
(if x <= 0 then 1 else (((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) + (x * 2)) * 2))
A315307: 1 6 10 16 20 26 30 36 40 46 50 56 62 66 72 76
((if x <= 0 then 1 else (x div (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1))) + ((x * 2) * 2))
A058759: 1 4 8 13
A311801: 1 4 8 13 17 21 25 29 33 37 42 46 50 54 58 63
((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314837: 1 5 9 14 18 23 27 32 36 41 45 50 55 59 64 68
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1) + x),(x * 2),2)
A099975: 2 9 65 626 6918 82500 1033412 13402697 178405157 2423307047 33453694487 467995871777 6619846420553 94520750408709 1360510918810437 19720133460129650
((x * 2) - ((x - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))) div 2))
A116941: 0 1 3 2 4 6 5 7 9 11 8 10 12 14 16 13
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),(x * 2),2)
A099800: 2 30 2310 510510 223092870 200560490130 304250263527210 614889782588491410 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 2 else ((loop(\(x,i).(x * 2),x,1) + 1) div ((2 + 2) + 1))) + (x div 2)) div 2)
A321402: 1 0 1 1 2 4 8 14 27 53 105
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + x) + ((x div 2) * 2))
A093051: 0 1 4 3 7 5 8 7 12 9 12 11 15 13 16 15
((((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * 2) - (x mod 2)) * 2)
A040142: 12 2 4 2 24 2 4 2 24 2 4 2 24 2 4 2
(if x <= 0 then 1 else (loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),(x div 2),(x mod 2)) * 2))
A279193: 1 2 8 28 88 288 888 2888 8888 28888 88888 288888 888888 2888888 8888888 28888888
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + ((x mod 2) + 2))
A033160: 2 4 5 7 11 13 14 16 29 31 32 34 38 40 41 43
((compr(\x.loop(\(x,i).(if (x mod (2 + 2)) <= 0 then 0 else ((x div (2 + 2)) + 1)),2,x),x) + 2) + 2)
A196032: 4 8 12 16 17 18 19 20 24 28 32 33 34 35 36 40
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((((i + 2) + 2) * (i + 1)) div 2) + x),x,2)) div 2)
A001794: 1 7 32 120 400 1232 3584 9984 26880 70400 180224 452608 1118208 2723840 6553600 15597568
((compr(\x.(2 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),x) + 2) * 2)
A061673: 26 34 50 56 64 76 86 92 94 116 118 120 122 124 134 142
(compr(\x.(if (x mod 2) <= 0 then (if x <= 0 then 1 else ((x * x) mod (((x + 2) + 2) + 2))) else 0),x) * 2)
A095300: 2 6 10 12 14 18 22 24 26 30 34 38 42 46 50 54
(if x <= 0 then 1 else (compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),x) + 2))
A063977: 1 3 4 5 6 8 9 10 12 14 17 18 20 24 26 28
(((if (2 - x) <= 0 then (((((if (x - 2) <= 0 then 1 else 2) + x) + 1) * 2) + 1) else 1) + x) * 2)
A298471: 2 4 22 32 38 44 50 56 62 68 74 80 86 92 98 104
loop(\(x,i).(x * x),1,(if x <= 0 then 1 else (((x div (((2 + 2) * (2 + 1)) - 1)) + x) * 2)))
A221285: 1 4 16 36 64 100 144 196 256 324 400 576 676 784 900 1024
((if (2 - x) <= 0 then ((((loop(\(x,i).(x * 2),x,(2 + 1)) + 2) * 2) * 2) + 1) else x) + 2)
A299172: 2 3 59 107
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) + 1) * x) + 2))
A016883: 2048 1977326743 743008370688 34271896307633 584318301411328 5559060566555523 36028797018963968 177917621779460413 717368321110468608 2472159215084012303 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) + 1) * x) * 2))
A017279: 0 100000000000 204800000000000 17714700000000000 419430400000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1))),x) * 2)
A104636: 2 6 8 14 18 20 26 30 36 44 48 50 54 56 68 74
(compr(\x.((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x) + 1) mod (2 + 1)),x) * 2)
A250398-A112774: 4 10 22 34 46 58 82 94 106 118 142 166 178 202 214 226
(((if (x - 2) <= 0 then 1 else ((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * (2 + 1))) + x) * 2)
A067874: 2 4 6 12 14 16 18 20 22 30 32 34 36 38 40 42
(loop(\(x,i).((2 + 1) * x),(x * 2),(2 + 1)) - loop(\(x,i).((x * 2) * (2 + 1)),x,2))
A016172: 1 15 171 1755 17091 161595 1501011 13789035 125780931 1142106075 10339420851 93417584715 842935044771 7599476096955 68473649036691 616733026314795
loop(\(x,i).(((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + x) + ((x * 2) * (2 + 1))),x,2)
A037564: 2 16 113 793 5553 38872 272106 1904744 13333209 93332465 653327257 4573290800 32013035602 224091249216 1568638744513 10980471211593
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((2 + 1) * x) + 2))
A031336: 5 13 23 37 47 61 73 89 103 113 137 151 167 181 197 223
(loop(\(x,i).(x * 2),(x - 1),((loop(\(x,i).(x * 2),(x - 1),x) * (2 + 1)) + x)) div 2)
A133224: 0 2 14 78 400 1960 9312 43232 197120 885888 3934720 17307136 75509760 327182336 1409343488 6039920640
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,((((x + 2) + 1) * x) div 2))
A178978: 0 2 5 1 14 20 1 35 44 2 65 77 10 104 119 5
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) + 2)
A107303: 4 6 8 12 14 16 22 24 26 28 34 36 38 44 48 52
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) - 2)
A089953: 0 2 4 8 10 12 18 20 22 24 30 32 34 40 44 48
(loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1) + loop(\(x,i).(((2 + 1) * x) - 1),x,2))
A146086: 3 11 45 197 903 4271 20625 100937 498123 2470931 12295605 61300877 305972943 1528270391 7636568985 38168496017
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) + 2)
A089358: 3 4 5 7 8 10 14 16 17 19 22 23 26 29 35 40
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) - 1))),x) + 2)
A076597: 4 5 6 7 8 10 11 12 13 15 17 18 21 22 23 26
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x - 1) * x) - 1))),x) + 2)
A089362: 5 6 7 8 9 11 12 13 14 16 18 19 22 23 24 27
(if x <= 0 then 1 else (((loop(\(x,i).((x div ((i + 2) * (i + 1))) + x),2,x) + 1) + x) * 2))
A315177: 1 6 10 14 18 22 28 32 36 40 44 50 56 60 64 68
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) - 1))),x) div 2)
A088572: 1 2 3 4 6 7 9 10 13 14 16 17 18 21 23 24
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) * (x + 1)) + x) * 2))
A017374: 1073741824 3570467226624 296196766695424 6278211847988224 64925062108545024 430804206899405824 2113922820157210624 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) * (x + 1)) + x) * 2))
A017376: 68719476736 1156831381426176 232218265089212416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) + loop(\(x,i).(x * 2),(x - 1),x)) * 2)
A208903: 0 4 12 32 76 180 412 940 2108 4700 10364 22716 49404 106876 229884 492284
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),((if x <= 0 then 1 else x) mod 2))
A097331: 1 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429
(compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (2 + 1))),x,x) + 1),x) * 2)
A088967: 2 4 8 10 14 20 22 28 32 34 38 44 50 52 58 62
loop(\(x,i).(((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + x) + (((x * 2) * 2) * 2)),x,2)
A037566: 2 20 181 1631 14681 132130 1189172 10702550 96322951 866906561 7802159051 70219431460 631974883142 5687773948280 51189965534521 460709689810691
(((x - 1) mod loop(\(x,i).((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 2),2,x)) div 2)
A035217: 1 0 0 1 1 0 1 0 1 0 0 0 2 0 0 1
(x div (if x <= 0 then 1 else (x mod ((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else x) + 2))))
A058663: 0 1 1 1 1 1 1 1 1 3 1 1 1 1 7 1
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then (2 + 2) else 0) + 1)),x,((x * 2) * 2)),x) * 2)
A108783: 0 2 6 10 12 26 30 32 36 50 52 56 60 62 126 130
(compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * 2) * 2))),x) * 2)
A087915: 0 2 4 8 10 14 20 22 28 32 34 38 40 50 52 62
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + (x * 2)) + 2),x,2)
A110299: 2 7 19 45 101 215 447 913 1849 3727 7485 15007 30055 60153 120353 240759
loop(\(x,i).((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + ((((2 + 2) + 1) * x) * 2)),x,2)
A037567: 2 22 221 2212 22122 221221 2212212 22122122 221221221 2212212212 22122122122 221221221221 2212212212212 22122122122122 221221221221221 2212212212212212
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 2))),x) + 2)
A228121: 2 3 5 7 9 11 15 17 19 21 25 29 31 35 37 39
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) + 2))),x) + 2)
A090693: 2 3 5 7 11 15 17 21 25 27 37 41 55 57 67 75
loop(\(x,i).(x * x),(2 + 2),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2))
A030635: 65536 43046721 152587890625 33232930569601 45949729863572161 665416609183179841 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - loop(\(x,i).((1 - x) * 2),compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x),2))
A126614: 3 11 43 683 2731 43691 174763 2796203 178956971 715827883 45812984491 733007751851 2932031007403 46912496118443 3002399751580331 192153584101141163
(if x <= 0 then 1 else (compr(\x.(1 - (loop(\(x,i).((i * i) * x),(x div 2),1) mod (x + 2))),x) + 2))
A026482-A026423: 1 3 4 5 6 7 8 10 11 13 14 17 19 22 23 26
(compr(\x.(loop(\(x,i).(((if (x mod (i + 1)) <= 0 then 0 else i) + 1) * x),x,1) mod (x + 2)),x) + 2)
A268388-A089229: 6 8 10 12 14 15 18 20 21 22 24 26 27 28 30 32
((loop(\(x,i).(x * 2),x,1) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) - 2)
A277801: ~1 ~1 ~1 1 5 19 47 109 233 483 993 2011 4055 8149 16337 32715
((loop(\(x,i).(x * 2),x,2) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) - 2)
A088110: 0 1 3 9
A111209: 0 1 3 9 21 51 111 237 489 995 2017 4059 8151 16341 32721 65483
((if (x mod 2) <= 0 then (x * 2) else compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + 2)
A062720: 2 3 6 7 10 13 14 19 18 29 22 37 26 43 30 53
loop(\(x,i).(x * x),(2 + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A179645: 256 6561 390625 5764801 214358881 815730721 6975757441 16983563041 78310985281 500246412961 852891037441 3512479453921 7984925229121 11688200277601 23811286661761 62259690411361
loop(\(x,i).((x + 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A036690: 6 12 30 56 132 182 306 380 552 870 992 1406 1722 1892 2256 2862
(loop(\(x,i).(x * 2),x,1) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A175036: 1 2 4 1 5 6 13 14 3 19 1 13 37 22 28 14
loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A030078: 8 27 125 343 1331 2197 4913 6859 12167 24389 29791 50653 68921 79507 103823 148877
(loop(\(x,i).(x * 2),x,2) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A064367: 0 1 3 2 10 12 9 9 6 9 2 26 33 1 9 28
loop(\(x,i).((x * x) * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A179665: 512 19683 1953125 40353607 2357947691 10604499373 118587876497 322687697779 1801152661463 14507145975869 26439622160671 129961739795077 327381934393961 502592611936843 1119130473102767
(compr(\x.(loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - (x mod 2))) mod (x + 2)),x) + 2)
A115919-A038701: 2 3 4 5 7 8 9 11 13 16 17 19 23 25 29 31
loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),i,1) + (x * 2)),x,2)
A088854: 2 7 24 83 292 1046 3808 14051 52412 197202 747120 2846318 10892936 41844172 161247104 623034403
(loop(\(x,i).(((i mod 2) + x) + (x div (2 + 1))),x,(2 + 1)) + loop(\(x,i).(x * 2),x,2))
A169872: 5 9 14 25 44 81 150
loop(\(x,i).((((((x * x) + 1) * x) * (x + 1)) + 1) * x),1,loop(\(x,i).(x * 2),x,2))
A115504: 62 1364 37448 1118480 34636832 1090785344 34630287488 1103823438080 35253226045952 1127000493261824 36046397799139328 1153203048319815680 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x + 1) mod (2 + 2)) + ((x * 2) * 2)),x,1) div loop(\(x,i).(x * 2),x,2))
A212444: 0 1 3 6 13 27 54 108 216 433 867 1734 3469 6939 13878 27756
((((loop(\(x,i).((x * x) * x),2,x) * x) + 1) * loop(\(x,i).((x * x) * x),2,x)) div 2)
A170792: 0 1 262400 581140575 137439084544 9536744140625 304679875044096 5699447612863375 72057594105036800 675425859030206289 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 0 else (loop(\(x,i).(((i * x) + (i div 2)) * 2),x,0) - 1)) - 1) + (x + 2))
A032115: 1 1 4 17 120 1169 13980 195649 3130288 56345057 1126900980 24791821361 595003712424 15470096522737 433162702636300 12994881079088609
((loop(\(x,i).((((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2) * 2),x,1) + 1) div (x + 2))
A082144: 1 4 30 224 1680 12672 96096 732160 5601024 42997760 331082752 2556051456 19778969600 153363087360 1191302553600 9268801044480
(loop(\(x,i).((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x),x,(2 + 1)) * (x + 2))
A027811: 6 63 336 1260 3780 9702 22176 46332 90090 165165 288288 482664 779688 1220940 1860480 2767464
loop(\(x,i).((loop(\(x,i).(((x * x) - 1) * x),1,((x * x) * 2)) * x) div 2),1,(x + 2))
A253724: 504 8721 65472 312375 1119528 3293829 8388096 19131147 39999000 77947353 143325504 250991871 421651272 683434125 1073737728 1641349779
(((loop(\(x,i).((x div (if i <= 0 then 1 else i)) + (x + 2)),x,2) * (x + 1)) div 2) div (x + 2))
A278450: 0 2 4 6 9 12 14 17 21 24 27 31 34 38 41 45
((((x + 2) * x) + 1) mod loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x + 2)))
A257231: 1 1 4 1 4 1 5 9 4 1 4 1 16 9 4 1
((if ((x - (if ((x div (2 + 2)) - 2) <= 0 then 1 else 2)) mod (2 + 2)) <= 0 then 2 else 1) + (x * 2))
A286050: 1 4 5 7 9 12 13 15 17 20 21 23 25 27 30 31
loop(\(x,i).(if x <= 0 then 1 else ((((((x * x) + 2) * x) div (2 + 1)) + x) * 2)),1,(x * 2))
A001386: 1 12 56 164 368 700 1192 1876 2784 3948 5400 7172 9296 11804 14728 18100
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)),x,1) div (1 - (x * 2)))
A098579: 1 ~4 ~8 ~32 ~160 ~896 ~5376 ~33792 ~219648 ~1464320 ~9957376 ~68796416 ~481574912 ~3408068608 ~24343347200 ~175272099840
(((loop(\(x,i).((2 + 1) * x),x,2) + x) + loop(\(x,i).((x * 2) * 2),x,1)) + (x * 2))
A290720: 3 13 40 127 430 1525 5572 20779 78682 301537 1166704 4548631 17840134 70297549 278001436 1102439683
(loop(\(x,i).(x - (if (x - 1) <= 0 then 2 else (x div (2 - (x mod 2))))),x,(x + 1)) + (x * 2))
A127750: 1 3 2 5 2 4 2 7 2 4 2 6 2 4 2 9
((if ((x - (if ((x div (2 + 2)) - 2) <= 0 then 1 else 2)) mod (2 + 2)) <= 0 then 1 else 2) + (x * 2))
A286051: 2 3 6 8 10 11 14 16 18 19 22 24 26 28 29 32
((if x <= 0 then 1 else (if (x div ((2 + 2) + 1)) <= 0 then 0 else (1 - ((2 + 2) * 2)))) + (x * 2))
A220102: 1 2 4 6 8 3 5 7 9 11 13 15 17 19 21 23
((if x <= 0 then 1 else ((((loop(\(x,i).((i * i) + x),x,x) * 2) + 1) + x) - 1)) - (x div 2))
A174655: 1 5 15 36 70 123 197 298 428 593 795 1040 1330 1671 2065 2518
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(if (x mod 2) <= 0 then x else 1),1) - (x mod 2))
A282452: 1 10 111 10 11111 10 1111111 10 111111111 10 11111111111 10 1111111111111 10 111111111111111 10
((if x <= 0 then 1 else (((if (x mod 2) <= 0 then 2 else ((x * 2) * (x + 1))) * 2) + 1)) - (x mod 2))
A272007: 1 8 5 48 5 120 5 224 5 360 5 528 5 728 5 960
((if (((x * 2) div ((x mod 2) + 2)) mod (2 + 1)) <= 0 then (if x <= 0 then 1 else 2) else 1) - (x mod 2))
A280748: 1 1 1 0 1 1 2 0 1 1 1 0 2 0 1 0
(if (x - 1) <= 0 then 1 else (loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (x mod 2)))
A277927: 1 1 0 1111 0 111111 0 11111111 0 1111111111 0 111111111111 0 11111111111111 0 1111111111111111
((if x <= 0 then 0 else (if (x mod (((2 + 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2)) - (x mod 2))
A305054: 0 0 1 0 1 1 1 0 2 1 1 1 2 1 2 0
((((if (x mod (2 + 2)) <= 0 then ((2 + 2) * 2) else 1) * 2) * (if x <= 0 then 1 else 2)) - (x mod 2))
A040249: 16 3 4 3 32 3 4 3 32 3 4 3 32 3 4 3
((if (x mod (2 + 1)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2)))
A010179: 10 1 2 10 2 1 20 1 2 10 2 1 20 1 2 10
((if (x mod (2 + 1)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2)))
A040261: 16 1 2 16 2 1 32 1 2 16 2 1 32 1 2 16
loop(\(x,i).((x + 1) * 2),(if ((x + 2) mod (2 + 2)) <= 0 then 0 else 1),(x div (2 - (x mod 2))))
A065260: 2 4 1 8 6 12 3 16 10 20 5 24 14 28 7 32
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),((x * 2) - (x mod 2)))
A060192: 3 5 13 17 29 31 43 47 61 67 79 83 101 103 113 127
loop(\(x,i).((if (((2 + 2) * 2) mod (x + 1)) <= 0 then 2 else 1) * (x + 1)),(x div 2),(x mod 2))
A307613: 0 1 2 4 3 5 8 6 9 7 10 16 11 17 12 18
(loop(\(x,i).(loop(\(x,i).((x + 2) + 2),(x mod (2 + 1)),(x * 2)) * (2 + 1)),x,x) * 2)
A181685: 0 36 432 1296 15552 139968 559872 5038848 40310784 181398528 1451188224 10883911680 52242776064 391820820480 2821109907456 14105549537280
(compr(\x.(loop(\(x,i).(x * x),1,loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1))) - x),x) + 2)
A080075: 3 5 9 13 17 25 33 41 49 57 65 81 97 113 129 145
(if x <= 0 then 1 else (((loop(\(x,i).(x - (x div ((2 + 2) * 2))),2,(x - 1)) + x) + x) * 2))
A310531: 1 4 10 16 22 28 34 40 46 50 54 60 66 72 78 84
loop(\(x,i).((((if (i mod (2 + 1)) <= 0 then 2 else 1) + x) + (((x * 2) * 2) * 2)) + x),x,2)
A037559: 2 21 211 2112 21121 211211 2112112 21121121 211211211 2112112112 21121121121 211211211211 2112112112112 21121121121121 211211211211211 2112112112112112
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),x) + 2)
A206023-A067829: 3 5 7 13 19 31 43 61 73 103 109 139 151 181 193 199
(loop(\(x,i).((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then (x + 2) else 1) + x),x,x) div 2)
A058185: 0 1 2 3 4 10 11 12 13 14 20 21 22 23 24 50
((loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),x,x) * x) div 2)
A156778: 0 1 5 15 34 70 123 203 308 450 645 880 1182 1547 1967 2460
(loop(\(x,i).(if x <= 0 then 1 else (((((i * 2) - 1) * x) * 2) div (i + 1))),(x - 1),0) + x)
A192480: 0 1 3 5 9 19 48 139 437 1439 4872 16807 58798 208025 742914 2674455
(loop(\(x,i).(((x + 1) * x) div 2),1,(1 - loop(\(x,i).((x - 2) * 2),(x - 2),0))) + x)
A288492: 1 2 3 18 95 440 1897 7882 32139 129804 521741 2092046 8378383 33533968 134176785 536789010
(2 - (if x <= 0 then 1 else (loop(\(x,i).(x - (i - (x div ((2 + 2) * (2 + 1))))),x,0) + x)))
A084267: 1 2 4 7 11 17 24 33 44 57 72 89 109 131 156 184
(loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),(i - 2),1) + ((x * 2) * 2)),x,0) * x)
A082136: 0 1 10 78 560 3880 26400 177632 1185280 7853184 51699200 338331136 2201948160 14258137088 91894620160 589744496640
(loop(\(x,i).((loop(\(x,i).(((2 + 2) + 1) * x),(i - 2),1) + x) + (x * 2)),x,0) * x)
A082135: 0 1 8 51 304 1765 10104 57239 321248 1787337 9864040 54035707 294031632 1590368429 8556082136 45812239455
((loop(\(x,i).(((if (x mod ((x div (2 + 2)) + 2)) <= 0 then 1 else 2) + 2) + x),x,0) + 1) + x)
A313717: 1 5 10 15 20 24 28 32 36 41 46 51 56 61 66 71
compr(\x.(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((x mod ((2 + 2) + 1)) - 1)),x)
A187127-A187126: 0 1 3 5 6 10 11 15 16 20 21 25 26 28 30 31
compr(\x.(((loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),x,1) * (x + 2)) mod (2 + 1)) - 1),x)
A080723: 1 4 5 6 7 10 13 16 17 18 19 20 21 22 23 24
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 1) * 2) + 1) * x))
A016991: 0 1977326743 4049565169664 350277500542221 8293509467471872 96549157373046875 717368321110468608 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((2 + 2) * 2),1) * x))
A202174: 1 111111111 222222222 333333333 444444444 555555555 666666666 777777777 888888888 999999999
loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,((x + 2) + 1)),1,(((2 + 2) + 1) * x))
A270968: 3 1 13 9 23 7 33 19 43 3 53 29 63 17 73 39
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((2 + 2) + 1) * x))
A031386: 3 17 37 59 79 103 131 157 181 211 239 269 293 331 359 389
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1)),x)
A153129: 2 5 8 9 10 11 14 15 16 17 20 23 25 26 27 29
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) + 1) * (2 + 1)) + x))
A017026: 59049 10000000000 2015993900449 63403380965376 819628286980801 6278211847988224 34050628916015625 144555105949057024 511116753300641401 1568336880910795776 4297625829703557649
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) + 1) * (2 + 1)) + x))
A017028: 531441 1000000000000 582622237229761 36520347436056576 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x + 1) * 2) * (2 + 1)) + x))
A017062: 60466176 137858491849 10240000000000 205891132094649 2064377754059776 13422659310152401 64925062108545024 253295162119140625 839299365868340224 2446194060654759801 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x + 1) * 2) * (2 + 1)) + x))
A017064: 2176782336 23298085122481 4096000000000000 150094635296999121 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(loop(\(x,i).(x - (if (x mod ((i + 2) + 1)) <= 0 then x else (2 + 1))),x,(x + 2)) + 1),x)
A209837: 3 5 9 15 17 23 27 29 33 39 45 47 53 57 59 65
compr(\x.(x div loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,((x * 2) + 1))),x)
A111215: 0 2 3 6 8 9 12 14 17 21 23 24 26 27 33 36
((compr(\x.(1 - loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,x)),(x * 2)) + 1) + x)
A285959: 2 6 10 15 18 22 26 29 34 38 42 47 50 55 59 63
((((x * 2) * (0 - 2)) - 1) mod loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)))
A335435-A167192: 0 1 0 2 1 0 3 1 1 0 4 3 2 1 0 5
(loop(\(x,i).(x - ((((if (i mod 2) <= 0 then 2 else 0) - x) div ((2 + 2) + 1)) - 1)),x,1) - x)
A272948: 1 2 3 4 5 7 9 12 16 21 27 35 44 56 70 87
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x)
A059324: 5 10 12 15 19 20 23 25 26 30 33 34 35 36 40 45
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),(((2 + 1) * x) - 1))),x)
A087370: 1 2 4 6 8 10 14 16 18 20 24 28 30 34 36 38
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) - 1)),x)
A046954: 0 4 8 9 14 15 19 20 22 24 28 29 31 34 36 39
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),x,1) * x)
A083725: 0 3 12 33 72 145 252 413 624 909 1300 1771 2376 3107 3948 4935
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)) * x)
A268085: 0 1 8 75 784 8820 104544 1288287 16359200 212751396 2821056160 38013731756 519227905728 7174705330000 100136810390400 1409850293610375
(((((if x <= 0 then 1 else (x div (2 + 1))) + x) + x) + loop(\(x,i).((x + 1) * 2),x,1)) + x)
A332232: 2 7 16 32 59 110
(loop(\(x,i).(x * x),1,loop(\(x,i).((x - (((2 - i) * x) div (i + 1))) * 2),x,1)) * x)
A267982: 0 4 32 300 3136 35280 418176 5153148 65436800 851005584 11284224640 152054927024 2076911622912 28698821320000 400547241561600 5639401174441500
compr(\x.(loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then x else 0) - x),((x mod 2) + 2),x) + 1),x)
A140461-A135779-A125845-A096489-A095862-A008364: 1 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67
(((if x <= 0 then 1 else loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * (x + 1)) - x)
A121324: 1 19 328 4437 55546 666655 7777764 88888873 999999982 11111111091 122222222200 1333333333309 14444444444418 155555555555527 1666666666666636 17777777777777745
compr(\x.(loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),x,2) mod (x + 2)) - 1)) mod (x + 1)),x)
A260124: 0 1 3 5 7 9 11 15 17 21 23 27 29 31 35 39
compr(\x.(1 - (loop(\(x,i).(i * x),((if (x mod 2) <= 0 then 2 else 0) + (x div 2)),1) mod (x + 1))),x)
A026438: 1 3 4 5 6 7 9 10 12 13 16 18 21 22 25 28
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) * 2) * (x + 1)) + x))
A017266: 1073741824 2015993900449 141167095653376 2758547353515625 27197360938418176 174887470365513049 839299365868340224 3255243551009881201 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) * 2) * (x + 1)) + x))
A017268: 68719476736 582622237229761 95428956661682176 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((2 + 2) * (x + 1)) + x))
A016907: 4194304 31381059609 4049565169664 116490258898219 1521681143169024 12200509765705829 70188843638032384 317475837322472439 1196683881290399744 3909821048582988049 4611686018427387903
(loop(\(x,i).(x - ((((x * 2) div (2 + 1)) * 2) div (2 + 1))),2,x) + (if x <= 0 then 1 else x))
A024616: 1 2 4 5 6 7 9 10 11 12 14 16 17 18 19 20
compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else ((2 + 2) + 1))),x,x) + 1),x)
A165741-A089559: 1 2 4 7 8 11 13 14 16 19 22 23 26 28 29 32
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),x,(x * x)) mod (((2 + 1) * 2) + 1)),2,x)
A204453: 0 1 2 3 4 5 6 0 6 5 4 3 2 1 0 1
loop(\(x,i).(1 - (x mod ((((x mod 2) - (if (x mod (2 + 2)) <= 0 then x else 1)) * 2) - 1))),2,x)
A333769: 1 1 2 1 1 1 1 1 3 1 1 1 2 1 2 1
((if (x - 2) <= 0 then 1 else (((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * (2 + 1)) + 2)) + x)
A247360: 1 2 3 5 6 7 8 9 10 17 18 19 20 21 22 23
((if (x div (2 + 2)) <= 0 then 1 else (((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1) div 2)) + x)
A026281: 1 2 3 4 6 8 10 12 13 15 16 18 19 21 22 24
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) + 1) * 2)),x)
A231407: 1 4 6
A153235: 1 4 6 7 10 11 13 14 16 17 19 21 22 25 26 28
(2 div loop(\(x,i).(loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,(x * 2)) + 1),2,x))
A218622: 1 1 1 2 1 1 2 2 1 1 1 0 2 2 2 2
(if x <= 0 then 1 else (loop(\(x,i).(x * x),(x - 2),((((x * x) + 2) * (x + 1)) div 2)) * x))
A065402: 1 3 18 1452
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((x * 2) + 1) * 2) * 2) + x))
A017218: 1048576 137858491849 26559922791424 819628286980801 10485760000000000 79792266297612001 430804206899405824 1822837804551761449 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((x * 2) + 1) * 2) * 2) + x))
A017220: 16777216 23298085122481 12855002631049216 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).((((x * x) * x) + (if x <= 0 then 1 else 2)) * 2),x,1) + 2) + 2) * 2) - x)
A255529: 10 19 878
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((x + 2) + 2) + 2) * 2)),x)
A165740: 3 5 6 9 10 12 15 17 18 20 21 24 25 27 30 31
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,((((x + 2) + 2) + 2) * x))
A061039: 0 7 16 1 40 55 8 91 112 5 160 187 8 247 280 35
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x)
A192225: 0 1 2 5
A005124: 0 1 2 5 7 8 10 13 16 17 20 22 26 28 31 35
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) + 2) * 2)),x)
A153219: 3 7 8 13 14 18 19 21 23 27 28 30 33 35 38 40
(((loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).(((2 + 1) * x) - 1),x,2)) * 2) - x)
A284850: 0 5 34 171 776 3361 14190 58967 242452 989517 4017146 16245763 65514528 263652473 1059392902 4251920559
loop(\(x,i).(((x * x) * x) mod loop(\(x,i).(((x + 2) * x) + 1),2,2)),((x * 2) * 2),x)
A100990: 0 1 52 3 4 25 56 7 8 9 0 11 12 13 64 75
loop(\(x,i).((loop(\(x,i).(((x * 2) + 1) * x),2,2) - (2 + 1)) * x),((x * 2) * 2),x)
A052094: 0 1836036801 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.((if (x mod (2 + 1)) <= 0 then 1 else (loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2)) mod 2),x)
A191535-A100598: 1 2 4 5 8 10
A072437: 1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 37
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x + 1) * x) + 2))),x)
A027754: 0 1 2 3 6 7 11 16 17 18 21 23 27 31 32 38
compr(\x.(((loop(\(x,i).loop(\(x,i).(2 - (x mod 2)),(x mod 2),(x div 2)),x,x) + 1) + x) mod 2),x)
A338692: 1 4 5 6 9 13 14 16 17 20 21 22 24 25 29 30
loop(\(x,i).(((x + 2) + 2) * x),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x))
A166010: 0 5 21 45 117 165 285 357 525 837 957 1365 1677 1845 2205 2805
loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,(((x + 2) + 2) + 1)),1,((x + 2) * x))
A243883: 5 1 13 5 29 5 53 17 85 13 125 37 173 25 229 65
loop(\(x,i).(x - (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))),1,((x + 2) * x))
A292531: 0 0 8 0 24 32 48 0 80 96 120 128 168 192 224 0
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * x) - 2))),x)
A066049: 2 3 4 6 7 8 10 11 13 15 17 18 21 22 24 25
compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * x) * 2))),x)
A097697: 1 2 4 5 7 11 14 19 25 26 31 32 35 37 38 46
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((x * x) * x),2,x))
A024136: 1 10 ~391 ~18352 ~247503 ~1792074 ~8306135 ~20866436 80141153 1970527202 24937424601 282953722920 3133268596369 34512107644558 379729172536457 4177209726056276
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),(x - 1),x) * x)
A083719: 0 1 6 18 44 90 174 294 472 702 1010 1430 1932 2574 3346 4230
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 2) * 2) + x)),x)
A153144: 1 3 4 7 8 10 13 15 16 18 19 22 23 25 28 29
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),x)
A225227: 1 7 13
A145897: 1 7 13 19 37 43 67 79 97 103 109 127 163 193 223 229
compr(\x.loop(\(x,i).(x - ((if x <= 0 then (x - 1) else (i * x)) div ((2 + 2) + 1))),(x - 2),x),x)
A167377: 0 7 9 11 13 14 16 17 19 20 21 23 24 25 26 28
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024150: 1 11 ~880 ~57321 ~1027840 ~9516793 ~57480192 ~246643441 ~643760128 1672995951 51917364224 717070946087 8854183084032 106855346887223 1283629209893888 15406444924195743
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + (loop(\(x,i).((x * x) * x),2,x) * x))
A177068: 1 11 1124 60049 1058576 9865625 61466176 292475249 1173741824 4486784401 20000000000 125937424601 1061917364224 10137858491849 100289254654976 1000576650390625
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024124: 1 9 ~924 ~58049 ~1038576 ~9665625 ~59466176 ~272475249 ~973741824 ~2486784401 0 74062575399 938082635776 9862141508151 99710745345024 999423349609375
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024085: 1 6 ~975 ~58706 ~1046175 ~9748818 ~60348527 ~281651706 ~1067977023 ~3446430794 ~9717524751 ~23960097858 ~48076077023 ~40969481442 388968417873 4170911119318
loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,((x * x) + 2)) div (2 + 1)),1,(x * x))
A283026: 0 1 3876 1929501 183181376 6419043125 118091211876 1388168405001 11745311589376 77279801651001 416916712502500 1915356782994501 7705740009485376 27731516944463501 90762229896563876 273716119247180625
loop(\(x,i).((loop(\(x,i).(x * x),1,(((i + x) + x) * 2)) - 1) * (x + 1)),1,(x * x))
A082942: 3 70 1615 14430 74035 270478 788655 1960150 4326595 8714550 16321903 28815790 48442035 78146110 121705615 183874278
loop(\(x,i).((loop(\(x,i).(((x * x) * (x + 1)) div 2),2,x) * (x + 1)) div 2),1,(x * x))
A146025: 0 1 82000
loop(\(x,i).(((((x div (2 + 2)) + x) div 2) + (if x <= 0 then 1 else 2)) + (x * 2)),1,(x * x))
A008264: 1 4 12 25 44 67 96 130 170 214 264 319 380 445 516 592
((loop(\(x,i).((if (i mod (2 + 1)) <= 0 then 1 else i) + (i * x)),x,1) div (x + 1)) + (x * x))
A003039: 1 2 6 13 32 92
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x),x,1) - (x * x))
A108754: 1 1 1 1 3 5 9 13 19 29 39 53 69 85 103 125
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(x * x),2,(x * x)))
A024135: 1 10 ~135 ~5230 ~50895 ~229574 91945 13722370 197581665 2314900970 25837424601 285097311730 3137998395025 34521896413210 379748357794185 4177245606525026
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024112: 1 8 ~1967 ~176418 ~4187743 ~48769076 ~362265615 ~1972543774 ~8546887871 ~30993639120 ~96513215599 ~253930611002 ~460578834207 749705434292 18827227285297 197241376235274
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024073: 1 5 ~2012 ~176931 ~4193008 ~48820349 ~362750400 ~1977046807 ~8588254976 ~31370981913 ~99939533824 ~284948873555 ~740831588352 ~1779099700021 ~3971201005568 ~8179570874799
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024099: 1 7 ~1984 ~176635 ~4190208 ~48795357 ~362534912 ~1975229591 ~8573157376 ~31246841881 ~98926258176 ~276721736019 ~674288893952 ~1242404580149 348481341440 26534616229457
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024060: 1 4 ~2023 ~177022 ~4193679 ~48825000 ~362781431 ~1977248618 ~8589543967 ~31379106484 ~99990234375 ~285262842486 ~742764230063 ~1790939690912 ~4043461654039 ~8619238281250
compr(\x.loop(\(x,i).(x - (if ((((x + 2) + 2) + 1) mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x)
A153081: 0 2 3 5 8 9 12 14 15 17 20 23 24 27 29 30
(loop(\(x,i).((if x <= 0 then x else ((((x + 1) div 2) div ((x mod 2) + 1)) + 1)) - 1),x,x) + x)
A277329: 0 1 2 2 3 2 3 3 4 3 3 3 4 3 4 4
compr(\x.(1 - loop(\(x,i).(if (((x + 2) + 1) mod ((2 + 2) * 2)) <= 0 then x else (x div 2)),x,x)),x)
A004748: 5 10 11 13 20 21 22 23 26 27 29 37 40 41 42 43
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024152: 1 11 ~3952 ~529713 ~16756480 ~243891793 ~2173796352 ~13805455393 ~68289495040 ~277269756129 ~938082635776 ~2395420006033 0 83695120256591 1227224552173568 15277275236695743
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024126: 1 9 ~3996 ~530441 ~16767216 ~244040625 ~2175782336 ~13831287201 ~68619476736 ~281429536481 ~990000000000 ~3038428376721 ~7916100448256 ~13298085122481 43306087624704 870253662109375
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024087: 1 6 ~4047 ~531098 ~16774815 ~244123818 ~2176664687 ~13840463658 ~68713711935 ~282389182874 ~999717524751 ~3136451049978 ~8902259161055 ~23201196112074 ~56015689302447 ~124998776380682
(if (x mod 2) <= 0 then (((((x + 1) mod (2 + 2)) + 1) mod ((x mod (2 + 1)) + 1)) + 1) else 0)
A284413: 1 0 2 0 1 0 1 0 3 0 1 0 1 0 2 0
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x div ((2 + 2) + 1)) + 1) else 0)
A227344: 1 0 1 0 0 2 0 0 0 2 0 0 0 0 3 0
(if (x mod (2 + 1)) <= 0 then (((((x - (x div (2 + 2))) div 2) - 1) mod (2 + 1)) - 1) else 0)
A016124-A015944-A015854-A015674-A015404-A015314-A015044-A014864-A014774-A014594-A014504-A014324-A011636: 1 0 0 ~1 0 0 0 0 0 1 0 0 ~1 0 0 1
(((2 + 1) * x) - ((x div ((2 + 2) + 1)) - (if ((x div (2 + 1)) - 2) <= 0 then 1 else 0)))
A190362-A184904: 1 4 7 10 13 15 18 21 24 26 28 31 34 37 40 42
(if (x mod 2) <= 0 then (1 - ((((x - (x mod (2 + 2))) div (2 + 1)) + x) mod (2 + 1))) else 0)
A274719: 1 0 ~1 0 ~1 0 0 0 0 0 1 0 0 0 1 0
(if (((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) <= 0 then ((x * 2) + 1) else 0)
A099895: 1 3 5 0 9 0 0 0 17 0 0 0 0 0 0 0
loop(\(x,i).((((x div 2) + x) * (2 + 2)) + (((x div 2) mod (2 + 1)) + 2)),(x + 1),0)
A037753: 2 15 91 546 3278 19671 118027 708162 4248974 25493847 152963083 917778498 5506670990 33040025943 198240155659 1189440933954
loop(\(x,i).((((((x mod 2) * 2) * 2) * 2) - (x div ((2 + 2) + 1))) + 1),(x - 1),0)
A021509: 0 0 1 9 8 0 1 9 8 0 1 9 8 0 1 9
loop(\(x,i).((x * 2) + 1),(((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),0)
A088512: 0 0 0 1 0 1 1 3 0 1 1 3 1 3 3 7
(x - loop(\(x,i).((x * 2) + 1),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),0))
A309255: 0 1 1 2 3 4 3 4 7 8 7 8 9 10 7 8
((x + 1) div (1 - (if (((x div (2 + 2)) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0)))
A209662: 1 2 3 4 ~5 6 7 8 9 ~10 11 12 ~13 14 ~15 16
loop(\(x,i).(((x - (((x + 1) * x) * (2 + 1))) mod (((2 + 2) * 2) + 1)) + 1),x,0)
A267017: 0 1 5 6 7 2 3 4 8 9 1 5 6 7 2 3
((if (x mod ((((x - 1) * x) mod ((2 + 2) * 2)) + 1)) <= 0 then (x mod (2 + 1)) else 0) + 1)
A280489: 1 2 1 1 1 3 1 1 3 1 1 1 1 1 3 1
((((((x + 2) + 2) + 1) * x) div 2) div ((if ((x mod (2 + 1)) - 1) <= 0 then 2 else 0) + 1))
A027625: 0 1 7 4 6 25 11 14 52 21 25 88 34 39 133 50
(2 - ((1 - x) div ((if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 2 else 0) + 1)))
A097450: 2 2 3 3 5 6 7 8 5 10 11 12 13 14 15 7
(x - ((if (x mod (2 + 1)) <= 0 then ((((x div ((2 + 2) + 1)) mod 2) * 2) * 2) else 0) - 1))
A096894: 1 2 3 4 5 6 3 8 9 6 11 12 13 14 15 12
((if (x mod (2 + 1)) <= 0 then (((x div ((2 - (x mod 2)) * 2)) + 1) mod (2 + 2)) else 0) + 1)
A030360: 2 1 1 3 1 1 3 1 1 2 1 1 1 1 1 1
(loop(\(x,i).(((x div ((x mod ((((x mod 2) * 2) + 1) * 2)) + 1)) + x) + 1),x,0) + 1)
A018258: 1 2 3 6 7 14 21 42
A018379: 1 2 3 6 7 14 21 42 49 98 147 294
A245479: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058
(loop(\(x,i).((((((x - 2) * 2) div ((x div (2 + 2)) + 2)) mod 2) + x) + 1),x,0) + 1)
A080645: 1 2 4 6 7 8 10 12 13 14 15 16 18 20 22 24
((x mod ((((x + 1) mod (((x div (2 + 1)) * 2) - 1)) div 2) + 1)) + (if x <= 0 then 0 else 1))
A300719: 0 1 1 1 1 1 1 2 1 1 1 2 1 1 1 4
(((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + (if x <= 0 then 0 else 1))
A005811: 0 1 2 1 2 3 2 1 2 3 4 3 2 3 2 1
((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + (if x <= 0 then 0 else 1))
A330757-A303838-A238946-A168324-A140747: 0 1 1 1 1 2 1 1 1 2 1 3 1 2 2 1
((x mod (((x + 1) mod ((x div ((2 - (x mod 2)) * 2)) + 2)) + 1)) + (if x <= 0 then 0 else 1))
A260439: 0 1 1 2 2 3 1 4 1 5 3 6 1 7 1 8
((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + (if x <= 0 then 0 else 1))
A302045-A302035-A157754-A088388-A087179-A067029-A051903: 0 1 1 2 1 1 1 3 2 1 1 2 1 1 1 4
((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) + (if x <= 0 then 0 else 1))
A091304: 0 1 1 1 2 1 1 2 1 1 2 1 2 3 1 1
((((((x * x) * x) mod (((x + 1) * 2) + 1)) div (2 + 1)) mod 2) + (if x <= 0 then 0 else 1))
A086412: 0 1 1 1 2 1 1 2 1 2 2 1 1 2 2 2
((x div ((((1 - x) mod ((((x + 1) div 2) div 2) + 1)) + 2) + 2)) + (if x <= 0 then 0 else 1))
A336543: 0 1 1 1 1 2 2 2 2 2 3 2 3 4 3 4
(((((((2 - (x mod (2 + 2))) * 2) mod (x + 1)) + 2) div 2) div 2) + (if x <= 0 then 0 else 1))
A295277: 0 1 1 2 2 2 1 3 2 2 1 4 2 2 1 5
(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1))
A080791: 0 0 1 0 2 1 1 0 3 2 2 1 2 1 1 0
((((2 - (x mod (((2 - x) div (2 + 2)) - 1))) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1))
A342679: 1 1 2 1 2 1 2 2 2 1 3 1 2 2 3 1
(((x - 1) mod ((if (((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 2 else 0) + 1)) + 1)
A183014: 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 3
((((2 + 1) * x) mod ((x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)) + 1)) + 1)
A340074: 1 1 1 1 3 1 5 1 1 1 3 1 1 1 1 1
((x mod ((x mod (((if (x mod 2) <= 0 then (x div 2) else (x mod (2 + 1))) + 1) + 1)) + 1)) - 1)
A294448: ~1 0 1 0 ~1 0 ~1 0 1 0 1 2 1 0 1 0
(((x * 2) div (((x + 1) div loop(\(x,i).i,(x mod ((x div (2 + 2)) + 1)),1)) + 1)) + 1)
A051702: 1 1 2 2 2 2 2 2 4 2 2 4 2 2 4 6
((x mod ((x mod ((x mod ((if (x mod 2) <= 0 then 1 else x) + (x div (2 + 1)))) + 1)) + 1)) + 1)
A326478: 1 1 1 4 1 6 1 8 3 10 1 12 1 14 5 16
(1 - (x mod ((x mod (((if (x mod 2) <= 0 then (x div 2) else (x mod (2 + 1))) + 1) + 1)) + 1)))
A317854-A317754-A088568: 1 0 ~1 0 1 0 1 0 ~1 0 ~1 ~2 ~1 0 ~1 0
(((x div 2) div ((x mod ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1)
A318324-A317934: 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 8
((x mod ((x mod (((1 - loop(\(x,i).((x * 2) * 2),x,2)) mod (x + 1)) + 1)) + 1)) + 1)
A053590: 1 2 3 2 5 6 7 2 3 2 11 6 13 2 15 2
((2 div ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod (((2 + 1) * 2) + 1)) + 1)) - 1)
A209635: 1 1 ~1 1 ~1 ~1 ~1 1 0 ~1 ~1 ~1 ~1 ~1 1 1
((((2 + 2) + 1) mod (((x + 1) mod (if (2 - x) <= 0 then ((2 + 1) * 2) else 1)) + 1)) + 1)
A193807-A085099: 1 1 2 1 6 1 2 3 2 1 6 1 2 3 2 1
((x mod ((x div (((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) * 2) + 1)) + 1)) + 1)
A326691: 1 2 3 1 5 2 7 1 1 2 11 3 13 2 1 1
(x - ((x mod ((loop(\(x,i).((i + x) * 2),x,0) mod (((x + 1) * 2) + 1)) + 1)) - 1))
A005765: 1 1 3 1 1 1 7 7 1 1 11 1 1 1 15 1
(((x div 2) div ((x mod ((if ((x mod (2 + 1)) - 1) <= 0 then (x div 2) else 2) + 1)) + 1)) + 1)
A117277: 1 1 1 1 2 1 2 1 2 1 2 2 2 1 3 1
((if x <= 0 then 1 else x) div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1))
A063994: 1 1 2 1 4 1 6 1 2 1 10 1 12 1 4 1
(loop(\(x,i).((x * x) * 2),1,(((((x + 1) * 2) * (2 + 1)) * (2 + 1)) + 1)) - 1)
A154515: 721 2737 6049 10657 16561 23761 32257 42049 53137 65521 79201 94177 110449 128017 146881 167041
(loop(\(x,i).((x * x) * 2),1,(((((x + 1) * 2) * (2 + 1)) * (2 + 1)) - 1)) - 1)
A154514: 577 2449 5617 10081 15841 22897 31249 40897 51841 64081 77617 92449 108577 126001 144721 164737
((if x <= 0 then 2 else ((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1))) - 1)
A114592: 1 ~1 ~1 ~1 ~1 0 ~1 0 ~1 0 ~1 1 ~1 0 0 0
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * 2),(((2 + 2) * (2 + 1)) - 1)) - 1)
A133383: 10 1099 109999 10999999 1099999999 109999999999 10999999999999 1099999999999999 109999999999999999 4611686018427387903 4611686018427387903 4611686018427387903
((x div ((((x + 2) * x) mod ((if ((x div (2 + 1)) - 2) <= 0 then x else 2) + 1)) + 1)) + 1)
A065517: 1 1 1 1 1 1 1 1 1 10 11 4 13 14 5 16
(x div ((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1))
A336642: 0 0 0 3 0 0 0 3 8 0 0 3 0 0 0 15
(((x - 1) mod ((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then x else 1) + 1)) + 1)
A340087: 1 1 2 3 4 1 6 1 8 1 10 1 12 1 2 15
(x mod ((((x div 2) + 1) mod ((loop(\(x,i).((0 - x) * 2),x,1) mod (x + 1)) + 1)) + 1))
A178921-A100574-A100573-A049087-A046665: 0 0 0 0 0 1 0 0 0 3 0 1 0 5 2 0
(loop(\(x,i).((x * x) * 2),1,((((((2 + 2) * 2) * 2) * 2) * (x + 1)) + 1)) - 1)
A157476: 2177 8449 18817 33281 51841 74497 101249 132097 167041 206081 249217 296449 347777 403201 462721 526337
(loop(\(x,i).((x * x) * 2),1,((((((2 + 2) * 2) * 2) * 2) * (x + 1)) - 1)) - 1)
A157448: 1921 7937 18049 32257 50561 72961 99457 130049 164737 203521 246401 293377 344449 399617 458881 522241
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),(((2 + 2) * (x + 1)) - 1),1)
A013815: 9261 1801088541 350277500542221 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),(((2 + 2) * (x + 1)) - 1),1)
A013817: 10648 2494357888 584318301411328 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013811: 6859 893871739 116490258898219 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),(((2 + 2) * (x + 1)) - 1),1)
A013819: 12167 3404825447 952809757913927 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (((x + 1) div (((if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) * 2) + 1)) - 1))
A211317: 1 2 2 3 4 4 6 6 6 7 8 10 9 10
(x div (((x + 1) div (((if ((x div 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1) * 2) + 1)) + 1))
A308342: 0 1 1 1 2 1 2 2 2 2 3 3 2 2 2 2
((if x <= 0 then 0 else (((x mod (((2 - ((x div 2) div (2 + 1))) * 2) + 1)) mod 2) + 1)) - 1)
A181101: ~1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0
(2 div ((((x * 2) + 1) mod ((loop(\(x,i).(x * 2),(x div (2 + 2)),1) * 2) + 1)) + 1))
A039975: 1 2 0 1 0 1 0 2 0 1 0 0 0 0 0 0
(((x - 1) mod ((if (x mod 2) <= 0 then ((x + 1) mod ((x mod (2 + 2)) + 1)) else 2) + 1)) + 1)
A087282: 1 1 1 3 1 2 2 1 1 3 1 2 1 1 1 3
(if (x mod 2) <= 0 then ((((((2 + 2) * 2) mod ((0 - x) - 1)) mod (2 + 1)) * 2) + 1) else 1)
A254378: 1 1 5 1 3 1 1 1 5 1 1 1 3 1 5 1
(2 div (if x <= 0 then 2 else ((x mod ((((x div (2 + 1)) + 2) mod ((2 + 1) * 2)) + 1)) + 1)))
A175134: 1 1 0 0 2 1 1 0 0 0 0 0 2
(((loop(\(x,i).((x * 2) + 1),(x + 2),2) * (2 + 1)) * (((2 + 1) * 2) + 1)) - 1)
A304389: 230 482 986 1994 4010 8042 16106 32234 64490 129002 258026 516074 1032170 2064362 4128746 8257514
((((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 2) * 2) div (((2 + 1) * 2) + 1)) + 1)
A294442: 1 1 1 2 1 3 2 3 1 4 3 4 2 5 3 5
((if x <= 0 then 2 else ((((x + 2) * x) div 2) mod ((x div ((x div (2 + 1)) + 2)) + 1))) - 1)
A334743: 1 ~1 ~1 0 ~1 0 ~1 0 0 0 ~1 1 ~1 0 0 0
(((x div 2) div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 2)) + 1)) + 1)
A285707: 1 1 1 2 1 2 1 4 3 2 1 3 1 2 3 8
(if (x - 1) <= 0 then 0 else ((x div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) + 1))
A325224: 0 0 1 1 2 1 3 2 2 2 4 2 5 3 3 3
((x div (((x - ((loop(\(x,i).((0 - x) * 2),x,1) mod (x + 1)) div 2)) div 2) + 1)) + 1)
A322861: 1 2 2 2 2 3 2 2 3 4 2 3 2 4 3 2
(((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) + 1) * ((((2 + 2) * 2) * 2) + 1)) + 1)
A304518: 86 222 494 1038 2126 4302 8654 17358 34766 69582 139214 278478 557006 1114062 2228174 4456398
((((x + 1) * 2) mod loop(\(x,i).i,((x * 2) mod (((x div (2 + 2)) + 2) + 2)),1)) + 1)
A108886: 1 1 1 1 2 1 1 1 3 1 1 1 3 4 1 1
(if x <= 0 then 0 else ((x div ((((1 - (x * 2)) mod (((x div 2) + 2) + 2)) + 2) + 1)) + 1))
A276605: 0 1 1 2 1 1 2 2 3 1 1 2 2 2 2 3
(x div ((((x div 2) + 1) div (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then 2 else 1)) + 1))
A280274: 0 1 1 1 1 2 1 1 1 3 1 2 1 3 2 1
(((x mod (2 + 1)) + 1) mod ((if ((2 - (x div (2 + 2))) mod (2 + 2)) <= 0 then 2 else 1) + 1))
A239366: 1 0 1 1 0 1 1 0 0 1 2 0 1 0 1 1
((((((x * 2) * 2) * (2 + 1)) - (if x <= 0 then 0 else 1)) * (((2 + 2) * 2) + 1)) - 1)
A063369: ~1 98 206 314 422 530 638 746 854 962 1070 1178 1286 1394 1502 1610
(((if ((x div (2 + 1)) - 2) <= 0 then x else ((x + 2) + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A114288: 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1
(((if ((x div (2 + 1)) - 2) <= 0 then x else ((x * 2) + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A125959: 1 2 3 4 5 6 7 8 9 2 4 6 8 1 3 5
((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + 2) * (((2 + 2) * 2) + 1)) + 1)
A179955: 19 28 37 46 55 64 73 82 91 118 127 136 145 154 163 172
loop(\(x,i).(i * x),(x * 2),((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1))
A279110: 1 4 24 2880 40320 7257600 479001600 697426329600 20922789888000 12804747411456000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x mod (((x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)) * (2 + 2)) - 1)) + 1)
A155457: 1 1 3 1 5 1 7 1 3 1 11 1 13 1 1 1
loop(\(x,i).(i * 2),(((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)),1)
A104404: 1 1 1 2 1 1 1 4 2 1 1 2 1 1 1 6
((loop(\(x,i).(((x div ((x mod (2 + 2)) + 1)) + x) + 1),x,0) div ((2 + 2) + 1)) + 1)
A273732: 1 1 1 1 1 2 3 4 5 10 15 20 25 50 75 100
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017345: 7776 1048576 11881376 60466176 205962976 550731776 1252332576 2535525376 4704270176 8153726976 13382255776 21003416576 31757969376 46525874176 66338290976 92389579776
(((x * x) * (x + 2)) div (((if (x mod (2 + 2)) <= 0 then 0 else 2) * ((2 + 2) + 1)) - 1))
A152839: 0 0 1 5 ~96
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) * ((2 + 2) + 1)) + 1)
A086949: 41 491 4991 49991 499991 4999991 49999991 499999991 4999999991 49999999991 499999999991 4999999999991 49999999999991 499999999999991 4999999999999991 49999999999999991
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070398: 1 6 7 13 20 4 24 28 23 22 16 9 25 5 1 6
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070379: 1 5 25 9 16 22 23 28 24 4 20 13 7 6 1 5
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017381: 59049 2476099 20511149 90224199 282475249 714924299 1564031349 3077056399 5584059449 9509900499 15386239549 23863536599 35723051649 51888844699 73439775749 101621504799
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A036125: 1 6 36 11 25 27 39 29 10 19 32 28 4 24 21 3
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070387: 1 5 25 2 10 9 4 20 18 8 40 36 16 39 31 32
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070386: 1 5 25 8 1 5 25 8 1 5 25 8 1 5 25 8
((loop(\(x,i).(2 - (x - ((2 + 2) + 1))),(x div 2),(x mod 2)) * ((2 + 2) + 1)) + 1)
A070400: 1 6 36 31 1 6 36 31 1 6 36 31 1 6 36 31
(2 div ((((if (((x div 2) + x) mod (2 + 2)) <= 0 then 1 else 2) + x) mod ((2 + 2) + 1)) + 1))
A339087: 1 0 0 0 1 0 0 0 0 1 0 0 0 2 1 0
((if x <= 0 then 1 else (x * 2)) - (((x div (2 + 1)) + 1) mod ((x div ((2 + 2) + 1)) + 1)))
A334614: 1 2 4 6 8 10 11 13 15 18 19 21 22 24 26 28
(((x div 2) + 1) mod (((x - (if ((x div (2 + 2)) - 1) <= 0 then 2 else 0)) mod (2 + 1)) + 1))
A339088: 1 1 0 0 0 0 0 1 2 0 0 0 0 1 2 0
((((if (x mod (((2 - x) mod ((2 + 2) + 1)) + 2)) <= 0 then x else 0) + 1) div (2 + 1)) + 1)
A325789: 1 1 2 1 1 1 3 1 1 1 1 1 5 1 1 1
((((x mod ((loop(\(x,i).((x + 2) * x),2,2) mod (x + 1)) + 1)) + 1) div (2 + 1)) + 1)
A286363: 1 1 2 1 1 2 2 1 4 1 2 2 1 2 2 1
(((x div ((loop(\(x,i).((x + 1) * 2),x,2) mod ((x + 2) + 1)) + 1)) mod (2 + 1)) + 1)
A254629: 1 1 1 1 1 1 3 2 1 2 1 3 2 1 1 2
(((loop(\(x,i).((x - (((x mod (2 + 1)) - 1) * 2)) * 2),x,1) + 1) div (2 + 1)) + 1)
A166578: 1 2 1 2 4 5 10 20 37 74 148 293 586 1172 2341 4682
(((x - (if (x mod (2 + 1)) <= 0 then ((((x + 1) div 2) div 2) mod 2) else 1)) mod (2 + 1)) + 1)
A179542: 1 1 2 3 1 2 3 1 2 1 1 2 3 1 2 1
(if x <= 0 then 1 else ((x + 2) mod ((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) + 1)))
A339553-A325045-A303553-A294068-A259362-A188585: 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 2
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070384: 1 5 25 14 33 17 11 18 16 6 30 2 10 13 28 29
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * (2 + 1)) + 1)
A129075: 10 13 19 25 37 43 55 61 73 91 97 115 127 133 145 163
loop(\(x,i).((2 + 1) * x),(x - 1),((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1))
A190963: 0 1 3 0 ~27 ~81 0 729 2187 0 ~19683 ~59049 0 531441 1594323 0
(((compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) + 1) mod (2 + 1)) + 1)
A036582: 2 3 1 2 1 3 2 3 1 3 2 1 2 3 1 2
(((compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) - 1) mod (2 + 1)) + 1)
A036584: 3 1 2 3 2 1 3 1 2 1 3 2 3 1 2 3
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017657: 161051 6436343 52521875 229345007 714924299 1804229351 3939040643 7737809375 14025517307 23863536599 38579489651 59797108943 89466096875 129891985607 183765996899 254194901951
((loop(\(x,i).(((x + 1) div 2) * (x + 1)),((x div 2) + 1),(x - 1)) div (2 + 1)) + 1)
A142960: 1 1 2 3 223
(((((loop(\(x,i).(x div (2 - (x mod 2))),2,x) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1)
A120562: 1 1 1 2 1 2 2 3 1 3 2 3 2 4 3 5
((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + 2) * 2) + 1) * 2) div (2 + 1)) + 1)
A122904: 5 7 8 9 11 13 15 16 17 19 20 21 23 24 25 27
(((if (x - 1) <= 0 then 0 else (((x div ((2 - (x mod 2)) * 2)) + 1) mod 2)) * (2 + 1)) + 1)
A214333: 1 1 4 1 1 4 1 1 4 4 4 1 1 4 1 1
(((x - ((if (x - 1) <= 0 then 1 else (((x + 1) div 2) div (2 + 1))) mod 2)) mod (2 + 1)) + 1)
A078929: 3 1 3 1 2 2 3 1 2 3 1 3 1 2 3 1
(((((if x <= 0 then 1 else (((x div ((2 + 2) * 2)) + x) * 2)) + 1) * 2) div (2 + 1)) + 1)
A175418-A078175: 2 3 4 5 7 8 9 11 13 15 16 17 19 20 21 23
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017609: 16807 2476099 28629151 147008443 503284375 1350125107 3077056399 6240321451 11592740743 20113571875 33038369407 51888844699 78502725751 115063617043 164130859375 228669389707
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017585: 3125 1419857 20511149 115856201 418195493 1160290625 2706784157 5584059449 10510100501 18424351793 30517578125 48261724457 73439775749 108175616801 154963892093 216699865625
(((x mod (((loop(\(x,i).(x * 2),x,2) * (2 + 1)) mod (x + 1)) + 2)) div (2 + 1)) + 1)
A109390: 1 1 1 1 1 1 3 1 1 1 1 1 2 5 2 1
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016974: 15625 1771561 24137569 148035889 594823321 1838265625 4750104241 10779215329 22164361129 42180533641 75418890625 128100283921 208422380089 326940373369 496981290961 735091890625
((((loop(\(x,i).(x * 2),((x + 1) mod (2 + 2)),x) mod (x + 1)) div 2) mod (2 + 1)) + 1)
A227739: 1 1 1 2 2 2 1 1 1 1 2 3 3 3 1 2
loop(\(x,i).((2 + 1) * x),(x - (((((2 - x) * x) * (x - 1)) div 2) div (2 + 1))),1)
A218149: 1 3 9 81 6561 14348907 2541865828329 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else (((1 - ((((x div (2 + 1)) * x) div (0 - 2)) div 2)) div (2 + 1)) + 1))
A241086: 0 1 1 1 1 2 2 2 2 3 4 4 5 5 6 7
((((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + 1) * 2) * 2) div (2 + 1)) + 1)
A328393: 2 3 5 6 7 9 10 11 13 17 18 19 21 22 23 25
(if x <= 0 then 0 else (((((x mod (((x div (2 + 2)) + 2) + 2)) div 2) * 2) div (2 + 1)) + 1))
A236859: 0 1 1 1 2 1 1 1 1 1 2 2 2 3 1 1
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070401: 1 6 36 28 27 21 32 4 24 3 18 14 37 34 16 2
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A036127: 1 5 25 31 14 23 21 11 8 40 12 13 18 43 27 41
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070410: 1 7 24 18 1 7 24 18 1 7 24 18 1 7 24 18
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070409: 1 7 3 21 9 17 4 5 12 15 13 22 16 20 2 14
((if x <= 0 then 1 else (x - ((0 - (((x - 2) * x) div ((2 + 2) * 2))) div (2 + 1)))) + 1)
A075465: 2 2 3 4 6 7 8 10 11 13 15 16 18 20 22 24
((((loop(\(x,i).((x + 2) * x),1,((x div 2) - (x mod 2))) div 2) div 2) div (2 + 1)) + 1)
A029164: 1 0 1 1 1 1 2 1 3 2 3 3 5 3 6 5
((2 + 1) - (loop(\(x,i).((1 - x) * (2 + 1)),x,1) mod (((2 + 2) * (2 + 1)) + 1)))
A007945: 2 3 0 ~4 ~5 ~2 2 3 0 ~4 ~5 ~2 2 3 0 ~4
(loop(\(x,i).((((x * 2) * 2) + 1) * 2),(x + 1),2) div (((2 + 2) * (2 + 1)) + 1))
A037713: 1 11 90 720 5761 46091 368730 2949840 23598721 188789771 1510318170 12082545360 96660362881 773282903051 6186263224410 49490105795280
(if x <= 0 then 1 else ((x - (x div ((2 + 2) * (2 + 1)))) * (((2 + 2) * (2 + 1)) - 1)))
A048841: 1 11 22 33 44 55 66 77 88 99 110 121 121 132 143 154
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((2 + 2) * (2 + 1)) - 1))
A140353: 11 12 14 16 20 22 26 28 32 38 40 46 50 52 56 62
(if (x mod ((2 + 1) * 2)) <= 0 then 1 else (x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))))
A320317: 1 0 0 0 0 0 1 0 0 0 0 0 1 2 3 4
loop(\(x,i).(x * x),1,((((((x div 2) div (2 + 1)) + x) * (2 + 2)) div (2 + 1)) + 1))
A062503: 1 4 9 25 36 49 100 121 169 196 225 289 361 441 484 529
(((x * x) div (((((if (x mod (2 + 1)) <= 0 then 2 else 1) + x) div 2) + 2) + (2 + 1))) + 1)
A067314: 1 1 1 2 3 4 5 6 8 9 11 12 13 15 17 18
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * (2 + 1)) - 1)
A330410: 11 17 29 41 65 77 101 113 137 173 185 221 245 257 281 317
loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) - 1)),(((x * 2) * 2) * (2 + 1)),1)
A015434: 1 2876892678661 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((1 - x) - (((x * 2) * 2) * (2 + 1))),(((x * 2) * 2) * (2 + 1)),1)
A015438: 1 21633936185161 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017538: 1 4826809 244140625 2565726409 13841287201 51520374361 151334226289 377149515625 832972004929 1677100110841 3138428376721 5534900853769 9294114390625 14976071831449 23298085122481
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017249: 16807 1048576 9765625 45435424 147008443 380204032 844596301 1680700000 3077056399 5277319168 8587340257 13382255776 20113571875 29316250624 41615795893 57735339232
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017225: 3125 537824 6436343 33554432 115856201 312500000 714924299 1453933568 2706784157 4704270176 7737809375 12166529024 18424351793 27027081632 38579489651 53782400000
(((loop(\(x,i).(((x + 1) * x) + 2),((2 + 2) * (x + 1)),x) + 2) * (2 + 1)) - 1)
A260312: 16661 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * 2),x,1) - x) - (((((x * x) - 1) * x) div 2) div (2 + 1))) - 1)
A002663: 0 0 0 0 1 6 22 64 163 382 848 1816 3797 7814 15914 32192
((if x <= 0 then 2 else (((1 - (x * x)) div ((x + 2) + 2)) + ((x * 2) * (2 + 1)))) - 1)
A313780: 1 5 10 15 21 26 31 36 41 46 51 57 62 67 72 77
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((x * 2) * (2 + 1)) + 1))
A016927: 1 823543 62748517 893871739 6103515625 27512614111 94931877133 271818611107 678223072849 1522435234375 3142742836021 6060711605323 11047398519097 19203908986159 32057708828125
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + x) + (((x * 2) * (2 + 1)) + 1))
A176972: 2 15 64 365 2430 16843 117692 823593 5764858 40353671 282475320 1977326821 13841287286 96889010499 678223072948 4747561510049
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((x * 2) * (2 + 1)) + 1))
A050476: 1 7 26 95 350 1302 4884 18447 70070 267410 1024556 3938662 15184876 58689100 227327400 882230895
((((if x <= 0 then 1 else x) + (x * 2)) - ((((1 - (x * x)) * x) div 2) div (2 + 1))) + 1)
A201347: 2 4 8 14 23 36 54 78 109 148 196 254 323 404 498 606
(((1 - compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x)) mod (2 + 1)) + 1)
A005679: 2 1 3 2 3 1 2 1 3 1 2 3 2 1 3 2
(((2 - compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x)) mod (2 + 1)) + 1)
A036585: 3 2 1 3 1 2 3 2 1 2 3 1 3 2 1 3
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013896: 8000 25600000000 81920000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013876: 3375 2562890625 1946195068359375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013888: 5832 11019960576 20822964865671168 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013912: 13824 110075314176 876488338465357824 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013872: 2744 1475789056 793714773254144 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013868: 2197 815730721 302875106592253 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013860: 1331 214358881 34522712143931 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013884: 4913 6975757441 9904578032905937 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) - 1)),(((2 + 1) * x) * (2 + 1)),1)
A015383: 1 ~2161452050 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017178: 1 1000000 47045881 481890304 2565726409 9474296896 27680640625 68719476736 151334226289 304006671424 567869252041 1000000000000 1677100110841 2699554153024 4195872914689 6327518887936
(if x <= 0 then 1 else (x - ((((((x mod ((2 + 2) * 2)) - 1) div 2) - x) div (2 + 1)) - 1)))
A083121: 1 3 4 5 6 7 9 10 12 13 15 16 17 18 19 20
((loop(\(x,i).((((x + 1) * x) div 2) + (((x * 2) + 1) * 2)),2,x) div (2 + 1)) + 1)
A005287: 5 20 49 98 174 285 440 649 923 1274 1715 2260 2924 3723 4674 5795
(((((if (x mod 2) <= 0 then x else (2 - x)) mod (2 + 1)) * (2 + 1)) + (x div (2 + 1))) + 1)
A115021: 1 4 7 8 5 2 3 6 9
(((x div 2) - (if (x mod (((2 + 1) * 2) + 1)) <= 0 then 0 else 1)) mod ((x div (2 + 1)) + 1))
A091731: 0 0 0 0 1 1 2 0 0 3 0 0 0 0 2 0
(((((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1)) + 1) * ((x div (2 + 1)) + 1))
A051495: 1 1 2 2 4 6 3 9 12 4 16 20 5 25 30 6
(((if (x mod (2 + 1)) <= 0 then 1 else ((x div (2 + 1)) + 2)) * 2) * ((x div (2 + 1)) + 1))
A221564: 2 4 4 4 12 12 6 24 24 8 40 40 10 60 60 12
(loop(\(x,i).((2 + 1) * x),x,2) - ((((x mod (2 + 1)) * 2) * (x mod (2 + 1))) + 1))
A018477: 1 3 9 53 159 477
(((x mod 2) - (if ((x div (2 + 1)) mod 2) <= 0 then (0 - 1) else 2)) * ((x mod (2 + 1)) + 1))
A130806: 1 4 3 ~1 ~4 ~3 1 4 3 ~1 ~4 ~3 1 4 3 ~1
(((loop(\(x,i).((((i + x) * x) div ((2 + 2) * 2)) + 1),2,x) + x) div (2 + 1)) + 1)
A123946: 1 1 2 2 3 4 5 7 9 11 14 18 23 29 38 48
((x mod ((x mod ((if ((x - 2) mod ((x div (2 + 1)) + 1)) <= 0 then 1 else x) + 2)) + 1)) + 1)
A001438: 1 2 3 4 1 6 7 8
A049073: 1 2 3 4 1 6 7 8 3 10 1 12 1 14 15 16
loop(\(x,i).i,((x - 2) - (2 - ((((2 + 2) * 2) + x) div (((1 - x) div 2) - 1)))),1)
A079789: 1 1 1 1 1 1 1 1 1 1 3 3 5 6 7 8
(loop(\(x,i).((((((2 + 2) * 2) + x) + 1) * 2) * ((2 + 2) + 1)),(x + 2),1) - 1)
A039684: 1089 10989 109989 1099989 10999989 109999989
(((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - 1) div ((x + 2) + 1)) + 1)
A054542: 1 2 4 12 36 116 382 1287 4420 15397 54264 193154 693374 2507288 9124560 33393355
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - ((x div 2) mod 2)) + 1),((x * 2) + 1),1)
A153435: 11 1100 110011 11001100 1100110011 110011001100 11001100110011 1100110011001100 110011001100110011 4611686018427387903 4611686018427387903 4611686018427387903
(x div ((loop(\(x,i).(x * 2),x,((x mod ((x mod 2) + 2)) + 1)) mod ((x * 2) + 1)) + 1))
A319341: 0 0 0 1 0 0 0 3 4 0 0 2 0 0 0 7
(x div ((x div (((if ((x div (0 - 2)) mod (2 + 2)) <= 0 then 0 else 1) + (x mod 2)) + 1)) + 1))
A143792: 0 1 1 1 1 2 1 1 0 2 1 2 1 2 1 1
((x div ((((((x - 1) div 2) div 2) + (if (x - 2) <= 0 then 2 else 1)) + (x mod 2)) + 1)) + 1)
A023524: 1 1 1 2 3 2 3 2 3 2 3 3 4 3 3 3
((x div (((if ((x - (x div (2 + 1))) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 1)) + 1)
A328478-A300330: 1 1 3 1 5 1 7 1 9 5 11 1 13 7 15 1
(2 - ((1 - x) div ((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then x else 1) + 1)))
A322822: 1 2 3 3 3 4 3 5 3 6 3 7 3 8 9 3
(x div (((x - 1) mod ((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then 1 else x) + 1)) + 1))
A345939: 0 1 1 1 1 5 1 1 1 9 1 11 1 13 7 1
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),((((2 + 2) + 1) * x) + 1),1)
A013898: 21 85766121 350277500542221 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),((((2 + 2) + 1) * x) + 1),1)
A013902: 22 113379904 584318301411328 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013890: 19 47045881 116490258898219 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((((2 + 2) + 1) * x) + 1),1)
A013906: 23 148035889 952809757913927 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((x mod (2 + 1)) + (x * 2)) * (2 + 1)) + (x mod 2)) + 1),x,1) + 1)
A037620: 2 12 75 452 2712 16275 97652 585912 3515475 21092852 126557112 759342675 4556056052 27336336312 164018017875 984108107252
(x - ((2 - loop(\(x,i).((((((x * 2) + 1) * x) div (i + 1)) + x) - 1),x,1)) - 1))
A079954: 0 1 2 2 2 2 2 3 4 5 6 7 8 9 10 10
(loop(\(x,i).(((x div ((((x * x) mod ((x + 2) + 2)) + 2) + 2)) + x) + 1),x,1) + 1)
A079446: 2 3 4 5 7 8 9 11 13 17 18 19 20 21 23 25
(x - (((x mod (2 + 2)) mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) - 1))
A345965: 1 2 3 4 5 5 7 8 9 9 11 9 13 13 13 16
((((((2 + 2) * 2) + x) * (((2 + 2) * 2) + 1)) + (if (x - 2) <= 0 then x else 1)) + 1)
A217237: 73 83 93 101
((x div ((if ((x mod (((2 - x) mod (2 + 2)) + 1)) - 1) <= 0 then (x mod 2) else x) + 1)) + 1)
A082725: 1 1 3 1 5 3 7 1 1 5 11 1 13 7 15 1
(compr(\x.(if (x mod 2) <= 0 then (((x * 2) mod (((x div 2) + 2) + 2)) - 1) else 0),(x + 1)) + 1)
A337945: 2 4 6 8 9 10 12 14 16 18 20 22 24 25 26 27
(compr(\x.((x mod (x - ((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1))) - 1),(x + 1)) + 1)
A327906: 2 3 5 6 7 10 11 13 14 17 18 19 22 23 26 29
(((loop(\(x,i).(x * 2),x,(((x div (2 + 1)) mod 2) * (2 + 1))) - 1) mod (x + 1)) + 1)
A330194-A330105-A330061: 1 2 3 4 3 6 7 8 9 6 3 12 13 14 15 16
(compr(\x.((loop(\(x,i).(((x * 2) + 1) * 2),(x div 2),1) mod (x + 1)) - 1),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A335284-A325559-A308966-A206074: 2 3 5 7 11 13 17 19 23 25 29 31 37 41 43 47
((x + 2) mod ((((((if ((x div 2) - 2) <= 0 then x else 2) + 2) * 2) + 1) mod (x + 1)) + 1))
A081134: 0 1 0 1 2 3 2 1 0 1 2 3 4 5 6 7
(x mod (x - ((loop(\(x,i).(x * 2),((((2 + 2) * 2) * 2) + x),1) mod (x + 1)) - 1)))
A126308: 0 1 0 3 0 1 1 7 0 1 0 3 2 3 3 15
(compr(\x.(2 - (loop(\(x,i).(((x mod 2) + (x * 2)) + 1),x,0) mod (x + 1))),(x + 1)) + 1)
A009188: 9 12 15 16 18 20 21 24 25 27 28 30 32 33 35 36
((((if (x mod 2) <= 0 then ((x * 2) mod (((2 + 2) * 2) + 1)) else 1) * 2) div (x + 1)) + 1)
A293668: 1 2 3 1 4 1 1 1 2 1 1 1 1 1 1 1
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017154: 117649 11390625 148035889 887503681 3518743761 10779215329 27680640625 62523502209 128100283921 243087455521 433626201009 735091890625 1194052296529 1870414552161 2839760855281
(if x <= 0 then 1 else (x mod (((1 - (((x + 2) * x) mod ((2 + 2) * 2))) mod (x + 1)) + 1)))
A153011: 1 0 0 0 0 0 0 1 0 0 0 4 0 0 0 4
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((2 + 2) * (x + 1)) - 1))
A016843: 2187 823543 19487171 170859375 893871739 3404825447 10460353203 27512614111 64339296875 137231006679 271818611107 506623120463 897410677851 1522435234375 2488651484819 3938980639167
(loop(\(x,i).(x * x),2,(((x * 2) * 2) + 1)) * ((((x * 2) * 2) * (x + 1)) + 1))
A014799: 1 5625 164025 1399489 6765201 23532201 66015625 159138225 342731169 676572121 1246160601 2169230625 3603000625 5752160649 8877596841 13305853201
((x + 1) div ((loop(\(x,i).((x * 2) + 1),x,((2 - (x mod 2)) + 2)) mod (x + 1)) + 1))
A284373: 1 1 1 1 1 3 1 1 4 1 2 1 2 1 3 1
((loop(\(x,i).((((x * 2) div (((2 + 1) * 2) + 1)) + x) + 2),x,2) div (x + 1)) - 1)
A094997: 1 1 1 1 2 2 3 4 4 6 7 9 11 13 16 20
((loop(\(x,i).((((x - (x div (2 + 1))) div (2 + 1)) + x) + 2),x,2) div (x + 1)) - 1)
A240572: 1 1 1 1 1 2 2 3 3 4 4 5 6 7 9 10
((loop(\(x,i).((((((x mod 2) * 2) + x) div (2 + 1)) + x) + 2),x,2) div (x + 1)) - 1)
A140881-A017979: 1 1 1 2 2 3 4 5 6 8 10 12 16 20 25 32
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((x + 2) * (x + 1)) - 1))
A141222: 1 5 22 95 406 1722 7260 30459 127270 529958 2200276 9111830 37650172 155266100 639191160 2627302995
((2 div ((((2 + 2) * 2) * 2) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) + 1)
A226859: 1 1 1 1 1 1 2 1 3 1 3 1 3 2 3 1
(((((x * 2) + 1) * (x + 2)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)
A182241: 3 10 7 36 11 26 15 136 19 42 23 100 27 58 31 528
((loop(\(x,i).(x - ((((x div (2 + 1)) - x) - 1) div (2 + 1))),(x - 1),0) div 2) + 1)
A258875: 1 1 1 2 2 3 4 5 6 8 10 12 15 19 23 29
(2 div (2 - ((x div (2 + 1)) div ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 2) + 1))))
A044932: 1 1 1 1 1 1 1 1 1 2 ~2 2 2 2 2 2
loop(\(x,i).(x * 2),((x - (((x div (2 + 2)) * (2 + 1)) div 2)) - (x div (0 - 2))),1)
A129195: 1 4 8 32 32 128 256 1024 512 2048 4096 16384 16384 65536 131072 524288
(((((x div 2) - 1) mod ((if (x mod (2 + 1)) <= 0 then (x div (2 + 1)) else 0) + 1)) * 2) + 1)
A214228: 1 1 1 1 1 1 5 1 1 7 1 1 1 1 1 1
(((if x <= 0 then 0 else ((((1 - x) mod (2 + 1)) * (((2 + 1) * 2) + 1)) + 1)) div 2) + 1)
A261882: 1 1 8 5 1 8 5 1 8 5 1 8 5 1 8 5
((x + 2) mod (((x + 1) mod ((x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + 1)) + 2)) + 1))
A100820: 0 0 0 1 0 1 0 1 2 0 2 1 0 1 2 2
(((x mod (((x - 1) mod (((if (x mod (2 + 2)) <= 0 then 0 else 2) * 2) + 1)) + 1)) * 2) + 1)
A274613: 1 1 1 1 1 1 1 3 1 3 1 1 1 3 5 1
(if x <= 0 then 1 else (((x - (((((x mod 2) - x) - 1) div ((2 + 2) + 1)) - 1)) * 2) + 1))
A193071: 1 7 9 11 13 15 19 21 23 25 29 31 33 35 37 39
((((((((2 + 1) * x) + 2) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) + 1) * 2) + 1)
A241746: 23 103 163 223 283 343 403 463 523 583 643 703 763 823 883 943
((((((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x) mod ((2 + 2) + 1)) + 1) div 2) + 1)
A108132: 2 3 3 1 2 2 3 3 1 2 2 3 3 3 1 2
(if x <= 0 then 1 else ((((((x div 2) + 1) * x) mod ((x div ((2 + 2) + 1)) + 1)) * 2) - 1))
A010555: 1 ~1 ~1 ~1 ~1 1 ~1 ~1 ~1 1 ~1 ~1 ~1 1 1 ~1
(((((2 + 1) mod ((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x) + 1)) + 1) div 2) + 1)
A307558: 1 2 1 3 3 3 3 3 3 1 3 3 3 3 3 3
(((x - 1) div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)
A234541: 0 1 1 2 1 2 1 4 2 2 1 4 1 2 3 8
(2 div ((if x <= 0 then 1 else ((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2)) + 1))
A230594: 1 2 2 1 2 2 2 0 1 2 2 0 2 2 2 0
(((loop(\(x,i).((((x mod (2 + 1)) + x) * ((2 + 2) + 1)) + x),x,1) + 1) * 2) + 1)
A092166: 5 25 155 925 5555 33325 199955 1199725 7198355 43190125 259140755 1554844525 9329067155 55974402925 335846417555 2015078505325
(((if x <= 0 then 0 else ((((x - (2 + 2)) mod ((x div (2 + 2)) + 1)) div 2) + 1)) * 2) + 1)
A122916: 1 3 3 3 3
A339055: 1 3 3 3 3 3 3 3 3 5 3 3 3 3 5 5
loop(\(x,i).(x * x),1,(((x - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) * 2) + 1))
A304035: 1 9 25 25 49 81 81 121 169 225 225 289 361 361 441 529
((((loop(\(x,i).(((((x div 2) + x) div (2 + 2)) + x) + 1),x,1) div 2) + 1) div 2) + 1)
A022866: 1 2 2 2 3 4 5 6 8 11 15 20 27 37 51 70
(((((loop(\(x,i).(((x * 2) * 2) + (i div 2)),x,1) mod (x + 1)) div 2) + 1) div 2) + 1)
A182594: 1 1 2 1 2 2 1 3 3 2 2 1 4 2 3 2
(((((loop(\(x,i).(x * 2),x,(((x - 1) div 2) mod 2)) mod (x + 1)) div 2) + 1) * 2) + 1)
A162844: 3 3 3 3 3 3 3 3 7 3 3 11 3 3 3 3
(((x div 2) div (((x mod (((if (x mod (2 + 2)) <= 0 then 2 else 0) + 2) * 2)) + 1) * 2)) + 1)
A210650: 1 1 1 1 1 1 1 1 3 2 1 1 1 2 2 1
loop(\(x,i).((x * 2) + 1),(((((((x div 2) + x) * (2 + 1)) + 2) * 2) + 1) * 2),1)
A236373: 2047 8388607 140737488355327 576460752303423487
(((x + 1) div ((if (x mod (((2 - ((x div 2) mod 2)) + 2) + 2)) <= 0 then 2 else 1) + 2)) + 1)
A116513: 1 1 2 2 2 3 3 3 4 4 3 5 4 5 6 5
((((((loop(\(x,i).((x * x) * (x + 1)),(x * x),2) + 2) + 2) * 2) + 1) * 2) + 1)
A116353: 27 67 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else ((((x - 1) mod (((((x + 1) div 2) mod (2 + 2)) * 2) + 1)) mod 2) + 1))
A189024: 0 1 2 1 2 1 2 1 1 1 1 1 2 2 1 1
((((loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),(x + 2),2) * 2) + 1) * 2) + 1)
A108904: 979 9779 97779 977779 9777779 97777779 977777779 9777777779 97777777779 977777777779 9777777777779 97777777777779 977777777777779 9777777777777779 97777777777777779 977777777777777779
(((((if (x mod (2 + 1)) <= 0 then 1 else x) + (x div (2 + 1))) mod ((2 + 2) + 1)) div 2) + 1)
A098281: 1 1 2 2 1 1 2 3 1 3 2 3 1 2 2 1
(((((if (x mod (2 + 1)) <= 0 then 0 else x) - (x mod (2 + 1))) mod ((2 + 2) + 1)) div 2) + 1)
A076899: 1 1 1 1 2 2 1 1 1 1 3 3 1 2 2 1
(((if ((x div ((2 + 2) + 1)) mod 2) <= 0 then x else (0 - x)) mod (((2 + 2) + 1) * 2)) + 1)
A232240: 1 2 3 4 5 6 5 4 3 2 1 2 3 4 5 6
(((((loop(\(x,i).(((i + 1) * i) + x),((x div 2) + 1),x) div 2) div 2) + 1) div 2) + 1)
A099383: 1 1 2 2 4 4 7 7 11 11 16 16 24 24 33 33
((((((loop(\(x,i).(((x div (2 + 1)) + x) + 2),x,1) + x) div 2) div 2) + 1) div 2) + 1)
A018053: 1 2 2 3 3 4 6 7 9 12 16 21 27 36 47 62
((((if x <= 0 then 0 else ((((((x div 2) div (2 + 1)) mod 2) + x) div 2) + 2)) + 1) * 2) + 1)
A096910: 3 7 9 9 11 11 13 15 15 17 17 19 19 19 21 21
(2 div (((((if (x div (2 + 1)) <= 0 then 2 else (((x mod 2) * x) div 2)) div 2) + 1) div 2) + 1))
A319981: 1 1 1 2 2 1 2 1 2 1 2 1 2 0 2 0
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017106: 729 1771561 47045881 387420489 1838265625 6321363049 17596287801 42180533641 90458382169 177978515625 326940373369 567869252041 941480149401 1500730351849 2313060765625 3462825991689
((loop(\(x,i).(((x mod 2) + 2) * (x + 1)),(x div 2),(((x mod 2) * 2) + 1)) div 2) + 1)
A029746: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448
(((x div 2) div (((if (x mod ((2 + 2) * (2 + 1))) <= 0 then 0 else 1) * (2 + 1)) + 2)) + 1)
A215847: 1 1 1 1 1 1 1 1 1 1 2 2 4 2 2 2
(if x <= 0 then 0 else (((x div (((((x mod (2 + 2)) + 1) div 2) + 1) * (2 + 1))) mod 2) + 1))
A307322-A306737: 0 1 1 1 2 1 2 1 1 2 2 2 1 1 1 2
(((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) + 1)
A072939: 3 7 9 11 15 19 23 25 27 31 33 35 39 41 43 47
(((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) - 1)
A079523: 1 5 7 9 13 17 21 23 25 29 31 33 37 39 41 45
((x + 2) mod ((if (x - 1) <= 0 then 1 else (((x - (x div (2 + 1))) div (2 + 1)) * 2)) + 1))
A340958: 0 1 0 0 0 1 2 0 0 1 2 3 4 1 2 3
(((loop(\(x,i).(((x div ((i mod (2 + 1)) + 1)) + x) + 1),x,1) * (2 + 1)) div 2) + 1)
A192581: 2 4 5 11 17 23 47
(((((((x div 2) + 1) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1)) * 2) + 1)
A130759: 1 3 5 7 11 21 43 87 173 343 683 1365 2731 5463 10925 21847
(if x <= 0 then 2 else ((((((((x + 2) div (2 + 1)) * 2) + 1) * 2) div (2 + 1)) * 2) - 1))
A141784: 2 3 3 3 5 5 5 7 7 7 11 11 11 13 13 13
(((loop(\(x,i).(((2 + 1) * x) + 1),x,1) + (((x - 1) div 2) mod (2 + 1))) div 2) - 1)
A135266: 0 1 5 19 60 182 546 1639 4919 14761 44286 132860 398580 1195741 3587225 10761679
(x - (((((if (x - 2) <= 0 then x else (2 - (x div (0 - 2)))) * 2) div (2 + 1)) * 2) - 1))
A118777: 1 2 1 0 1 0 1 0 1 2 3 2 3 2 3 4
loop(\(x,i).((x * 2) + 1),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A159913: 1 3 3 7 3 7 7 15 3 7 7 15 7 15 15 31
loop(\(x,i).((x + 1) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A160723: 1 4 4 10 4 10 10 22 4 10 10 22 10 22 22 46
loop(\(x,i).((x * 2) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A102376: 1 4 4 16 4 16 16 64 4 16 16 64 16 64 64 256
loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A048883: 1 3 3 9 3 9 9 27 3 9 9 27 9 27 27 81
((((loop(\(x,i).(x * x),1,((((x div 2) mod 2) + x) div 2)) + 2) div (2 + 1)) div 2) + 1)
A035398: 1 1 1 2 2 2 2 4 4 4 5 7 7 7 9 12
(((((2 - ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2))) + (x div 2)) div (2 + 1)) mod 2) + 1)
A097026: 1 1 1 1 2 2 2 1 2 2 1 2 1 1 1 1
((loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),1) div (2 + 1)) mod (((2 + 1) * 2) + 1))
A021862: 0 0 1 1 6 5 5 0 1 1 6 5 5 0 1 1
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i + 1)),x,1) * (((2 + 1) * 2) + 1))
A099674: 7 84 861 8638 86415 864192 8641969 86419746 864197523 8641975300 86419753077 864197530854 8641975308631 86419753086408 864197530864185 8641975308641962
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 1) * 2) + 1))
A159986: 1 1 2 5 0 0 6 2 2 4 3 0 0 4 6 6
((loop(\(x,i).((((x + 2) + 2) + 2) * 2),(x + 2),0) * 2) * (((2 + 1) * 2) + 1))
A226265: 504 1176 2520 5208 10584 21336 42840 85848 171864 343896 687960 1376088 2752344 5504856 11009880 22019928
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (((2 + 1) * 2) + 1))
A272470: 14 21 35 49 77 91 119 133 161 203 217 259 287 301 329 371
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 1) * 2) + 1))
A039705: 2 3 5 0 4 6 3 5 2 1 3 2 6 1 5 4
((if x <= 0 then 1 else ((x mod (1 - ((2 + 2) * 2))) mod 2)) + (x div (((2 + 1) * 2) + 1)))
A025817: 1 0 1 0 1 0 1 1 1 2 1 2 1 2 2 2
(x - (((((((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2) + x) div (2 + 1)) * 2) - 1))
A071993: 1 0 1 2 1 0 ~1 0 1 0 1 2 1 2 3 2
((if (((x div (2 + 1)) + 1) mod (2 + 1)) <= 0 then 2 else 1) * (((x mod (2 + 1)) div 2) + 1))
A290092-A117592: 1 1 2 1 1 2 2 2 4 1 1 2 1 1 2 2
((if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2) * (((x mod (2 + 1)) div 2) + 1))
A246600-A068068: 1 1 2 1 2 2 2 1 2 2 2 2 2 2 4 1
((((loop(\(x,i).((((x mod 2) * 2) * (x + 1)) + 1),(x div 2),x) div 2) + 1) div 2) + 1)
A211164: 1 1 1 3 2 8 4 20 8 48 16 112 32 256 64 576
loop(\(x,i).((i + 1) * 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1)
A174093: 1 1 1 1 4 1 1 4 4 1 1 4 6 4 1 1
loop(\(x,i).((x * 2) * 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1)
A152716: 1 1 1 1 4 1 1 4 4 1 1 4 16 4 1 1
loop(\(x,i).(x * x),1,(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1))
A106314: 1 1 1 1 4 1 1 4 4 1 1 4 9 4 1 1
loop(\(x,i).((x + 1) * x),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1)
A107044: 1 1 1 1 2 1 1 2 2 1 1 2 6 2 1 1
((if (x - 1) <= 0 then x else ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) + 1)
A323231: 1 2 1 1 2 1 1 2 2 1 1 2 3 2 1 1
(((((0 - ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) * x) mod ((x div 2) + 1)) div 2) + 1)
A223135: 1 1 1 1 2 1 2 1 2 2 2 1 4 1 2 2
(if (x mod (2 + 1)) <= 0 then 1 else (((x div 2) * x) mod (((x mod ((x div 2) + 1)) div 2) + 1)))
A029313: 1 0 0 1 0 0 1 1 0 1 2 1 1 2 2 1
(((loop(\(x,i).(((x div ((x mod 2) + 1)) + x) + 2),(x div 2),(x mod 2)) + 1) div 2) + 1)
A262699: 1 2 2 3 4 4 8 8 16 16 32 32 64 64 128 128
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017309: 243 371293 6436343 39135393 147008443 418195493 992436543 2073071593 3939040643 6956883693 11592740743 18424351793 28153056843 41615795893 59797108943 83841135993
((loop(\(x,i).(x - ((((1 - x) div (2 + 1)) - x) div ((2 + 2) + 1))),x,1) div 2) + 1)
A127207: 1 2 2 3 3 4 5 7 9 11 14 18 23 29 37 47
((loop(\(x,i).((x - (x div (((0 - 2) - 2) - 1))) + (i div (2 + 1))),x,1) * 2) - 1)
A248956: 1 3 5 9 13 19 27 37 49 65 85 109 139 175 219 273
((loop(\(x,i).(x - (((x div (((x mod (0 - 2)) - 2) - 1)) - 1) div 2)),x,1) div 2) + 1)
A304631: 1 2 2 3 4 5 6 7 9 11 13 15 18 21 24 28
(x div (x - (((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) * 2) - 1)))
A336388: 0 0 0 0 0 2 0 0 0 1 0 1 0 1 1 0
(x - ((((loop(\(x,i).((x * 2) * 2),((x div 2) * 2),2) - 1) mod (x + 1)) div 2) - 1))
A155918-A085314-A085310-A055653: 1 2 3 3 5 6 7 5 7 10 11 9 13 14 15 9
loop(\(x,i).(i * x),(compr(\x.(1 - (x mod ((((x mod 2) * 2) * 2) + 1))),(x + 1)) * 2),1)
A072238: 720 87178291200 6402373705728000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x + 1) * x) div 2) mod (((loop(\(x,i).(x * 2),(x - 2),1) div (x + 1)) * 2) + 1))
A241715: 0 0 0 0 0 0 1 1 6 20
((((x * x) * (x * x)) * (x * x)) mod loop(\(x,i).(((x * 2) + 1) * (x + 1)),2,1))
A085339: 0 1 64 1 1 64 64 77 64 1 1 64 1 78 14 64
(((loop(\(x,i).(x * 2),x,((((x * 2) mod (2 + 1)) - 1) * 2)) mod (x + 1)) div 2) + 1)
A116599: 1 1 1 1 2 1 3 1 1 4 2 1 6 3 1 1
((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 1)
A166140-A088835-A053166-A015053-A015052-A007947: 1 2 3 2 5 6 7 2 3 10 11 6 13 14 15 2
((((x * 2) + 1) * 2) - loop(\(x,i).(((x + 1) * 2) div (i + 1)),((x + 1) div 2),1))
A311262: 1 4 8 12 16 21 25 30 34 38 42 46 50 54 58 62
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (((x + 1) div 2) + 1))
A083176: 2 6 10 21 33 52 68 95 115 174 186 259 287 344 376 477
(((loop(\(x,i).((((i * 2) * (2 + 1)) + 1) * x),(2 + 1),x) * (x + 1)) div 2) + 1)
A130876: 1 1730 5188 10375 17291 25936 36310 48413 62245 77806 95096 114115 134863 157340 181546 207481
(((((if (x mod 2) <= 0 then 2 else (((x + 2) * (x + 1)) div 2)) + x) * (x + 1)) div 2) + 1)
A343596: 2 5 7 27 16
(((((((x - 1) * 2) mod (((x div 2) + 2) + 2)) div 2) div 2) + (if x <= 0 then 1 else 2)) + 1)
A177876: 2 3 3 4
A071866: 2 3 3 4 3 3 3 4 4 3 3 3 3 4 4 4
((x + 2) div (((((x * 2) mod (2 + 1)) * (2 + 1)) + 1) * ((if x <= 0 then 1 else 2) + 1)))
A029302: 1 0 0 1 0 0 2 0 0 3 0 1 4 0 1 5
((x mod 2) - ((((x - (if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 1 else 0)) mod 2) * 2) - 1))
A083037: 1 0 ~1 0 1 0 1 2 1 0 1 0 ~1 0 1 0
loop(\(x,i).(((2 + 2) + 1) * x),(2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))),1)
A039936: 5 25 25 125 125 125 125 625 625 625 625 625 625 625 625 3125
((((if (((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then x else 0) div 2) div 2) + 1)
A124944: 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 4
(x - (((loop(\(x,i).(((i div ((x mod 2) + 2)) + 1) + (x div 2)),x,0) div 2) * 2) - 1))
A275892: 1 2 3 2 1 2 3 4 5 4 3 4 3 4 3 4
(((((if x <= 0 then 1 else (x - ((x + 1) mod ((2 - (x mod 2)) + 1)))) + 1) div 2) * 2) - 1)
A124741: 1 1 1 3 1 5 5 7 7 9 7 11 11 13 13 15
((x + 1) div ((((x - ((loop(\(x,i).(x * 2),x,2) mod (x + 1)) - 1)) div 2) + 2) + 1))
A318663: 0 0 1 0 1 1 1 1 3 1 1 1 1 1 2 1
(((if (x - 1) <= 0 then 1 else ((((((x div (2 + 2)) + 1) div 2) * 2) + 1) * 2)) * 2) + 1)
A171710: 3 3 5 5 13 13 13 13 13 13 13 13 21 21 21 21
(if (x - 1) <= 0 then (x + 1) else ((((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2) + 1))
A079728: 1 2 1 3 1 3 1 3 1 1 3 3 1 3 1 1
(if x <= 0 then 0 else ((x div (((((x - 2) * 2) mod (((2 + 2) * 2) + 1)) + 2) * 2)) + 1))
A127832: 0 1 1 1 1 1 1 2 1 1 1 3 2 2 1 1
(if x <= 0 then 0 else ((((2 + 1) * x) div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + 1))
A268382: 0 1 2 3 4 4 5 6 7 7 7 7 8 8 9 10
loop(\(x,i).(x * 2),(x div ((x div (((1 - x) mod ((x mod (2 + 2)) + 1)) + 2)) + 2)),1)
A327813: 1 1 2 2 2 2 2 4 2 2 2 4 2 2 4 8
(((x * x) * x) div (loop(\(x,i).(x * x),2,(((((x mod 2) * 2) + 1) * 2) * 2)) + 1))
A007386: 0 0 0 0 0 0 0 0 1 0 3 0 6 0 10 0
(((((((((if (x mod (2 + 1)) <= 0 then 2 else 1) + x) * x) div 2) div 2) + 1) div 2) div 2) + 1)
A029041: 1 1 1 2 2 3 4 4 5 7 8 9 11 12 14 17
((((((if x <= 0 then 1 else (((2 + 1) * x) * (2 + 1))) - 1) * (2 + 1)) div 2) * 2) - 1)
A063321: ~1 23 49 77 103 131 157 185 211 239 265 293 319 347 373 401
((((x - ((((if (x mod 2) <= 0 then x else 2) + x) div (2 + 1)) mod (2 + 1))) mod 2) * 2) - 1)
A014077: ~1 ~1 1 ~1 ~1 1 1 1 ~1 1 ~1 ~1 ~1 1 ~1 1
((if (x - 1) <= 0 then x else ((((((x div (2 + 2)) + 1) div 2) * (2 + 1)) div 2) + 2)) + 1)
A213253: 1 2 3 3 4 4 4 4 4 4 4 4 6 6 6 6
(((((x - ((if x <= 0 then 1 else x) div (1 - ((2 + 2) * 2)))) * (2 + 1)) div 2) * 2) - 1)
A322271: 1 5 7 11 13 17 19 23
A276378: 1 5 7 11 13 17 19 23 29 31 35 37 41 43 47 53
(1 - (x div (((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else ((2 + 1) * 2)) * 2) - 1)))
A068159: 1 1 1 1 1 1 1 1 1 10 1 0 0 0 0 0
((((((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + x) * (2 + 1)) div 2) * 2) - 1)
A322271: 1 5 7 11 13 17 19 23
A231810: 1 5 7 11 13 17 19 23 25 29 31 37 41 43 47 49
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) * 2) + 1)
A129070: 13 17 25 33 49 57 73 81 97 121 129 153 169 177 193 217
(loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0) - ((((x div (2 + 1)) mod 2) * 2) - 1))
A130707: 1 2 2 2 4 10 22 44 86 170 340 682 1366 2732 5462 10922
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017130: 15625 4826809 85766121 594823321 2565726409 8303765625 22164361129 51520374361 107918163081 208422380089 377149515625 646990183449 1061520150601 1677100110841 2565164201769
((2 + 1) mod (((((if (x mod (2 + 1)) <= 0 then 2 else 1) * ((x div 2) + 1)) div 2) div 2) + 1))
A336090: 0 0 0 1 0 0 0 1 1 0 1 1 3 1 0 3
(((((loop(\(x,i).((i * x) * x),2,(2 + 1)) + ((x + 1) * x)) + 1) * 2) * 2) + 1)
A145202: 653 661 677 701 733 773 821 877 941 1013 1093 1181 1277 1381 1493 1613
(((loop(\(x,i).(((((x div (2 + 1)) * 2) div (2 + 1)) + x) + 2),x,1) div 2) div 2) + 1)
A112192: 1 1 2 2 3 4 5 7 8 10 13 16 20 24 30 36
((((loop(\(x,i).((2 - x) * 2),(x mod ((2 + 2) + 1)),0) mod (x + 1)) div 2) div 2) + 1)
A027926: 1 1 1 1 1 1 2 2 1 1 1 2 3 4 3 1
(if x <= 0 then 2 else (((((((x - 1) mod (2 + 2)) * (2 + 1)) mod (x + 1)) div 2) div 2) + 1))
A259154: 2 1 1 1 2 1 1 2 1 1 1 2 3 1 1 2
(((((((if (x mod (2 + 2)) <= 0 then x else (x div 2)) + x) + 2) * (x + 1)) div 2) div 2) + 1)
A177101: 1 2 4 7 13 14 20
((loop(\(x,i).(((x mod (((2 + 1) * 2) + 1)) * (2 + 1)) + 2),(x - 1),2) div 2) - 1)
A021319: 0 0 3 1 7 4 6 0 3 1 7 4 6 0 3 1
(((loop(\(x,i).((2 + 1) * x),x,1) div (((((2 + 1) * 2) + 1) * 2) * 2)) * 2) + 1)
A135344: 1 1 1 1 5 17 53 157 469 1405 4217 12653 37961 113881 341641 1024921
((((x div 2) - ((x + 1) mod ((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + 2))) div 2) + 1)
A286528: 0 0 1 1 1 2 2 1 3 2 2 3 3 3 3 4
(if x <= 0 then 0 else (((x mod ((x div (((x + 1) mod ((2 + 2) + 1)) + 2)) + 2)) div 2) + 1))
A293433: 0 1 1 1 1 2 1 1 2 2 1 2 1 1 3 1
(if x <= 0 then 2 else (((x mod ((x div (((x - 1) mod ((2 + 2) + 1)) + 2)) + 2)) div 2) + 1))
A075774: 2 1 1 1 1 1 1 2 1 1 1 3 1 2 2 2
(if x <= 0 then 0 else ((x div (((x + 1) div ((((x + 1) mod (2 + 1)) + 2) + 2)) + 2)) + 1))
A330808: 0 1 2 2 3 2 3 3 3 3 4 3 4 4 3 4
((((loop(\(x,i).(((x * x) * x) * (x * x)),1,((x * 2) + 1)) div 2) div 2) * 2) + 1)
A175111: 1 121 1563 8403 29525 80525 185647 379687 709929 1238049 2042051 3218171 4882813 7174453 10255575 14314575
((if ((x div 2) - ((2 + 1) * 2)) <= 0 then 1 else 2) * (((((x + 1) div 2) div 2) div 2) + 1))
A248783: 1 1 1 1 1 1 1 2 2 2 2 2 2 2 4 6
(((((((if (x - ((2 + 1) * 2)) <= 0 then 1 else 0) + x) * (x + 1)) div 2) div 2) div 2) + 1)
A029005-A008754: 1 1 2 3 4 5 7 8 10 12 14 17 20 23 27 31
((((((((loop(\(x,i).((x + 2) * 2),x,2) * 2) * 2) - 1) * 2) * 2) * 2) * 2) - 1)
A304516: 111 495 1263 2799 5871 12015 24303 48879 98031 196335 392943 786159 1572591 3145455 6291183 12582639
(((if x <= 0 then 1 else (((x - ((x mod ((x mod (2 + 1)) + 2)) div 2)) div 2) + 2)) + 2) + 1)
A114458: 4 5 5 6 7 7 8 8 9 9 10 10 11 11 11 12
(((x mod (((x + 2) div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) + 2)) div 2) + 1)
A136755: 1 1 2 1 1 1 2 1 2 1 3 2 1 1 1 1
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070417: 1 7 16 13 25 10 4 28 31 19 1 7 16 13 25 10
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070415: 1 7 18 2 14 5 4 28 10 8 25 20 16 19 9 1
(if x <= 0 then 0 else ((((x div 2) - (x div ((((1 - x) mod (2 + 2)) + 2) + 2))) div 2) + 1))
A235645: 0 1 1 1 2 1 2 2 2 2 3 3 3 2 3 3
(x div (if (x mod 2) <= 0 then ((((x * 2) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 2) else 1))
A340083: 0 1 1 3 1 5 1 7 2 9 1 11 1 13 7 15
(2 - (if x <= 0 then 0 else (((((x - 1) mod ((x div ((x mod 2) + 2)) + 2)) mod 2) * 2) - 1)))
A126044: 2 3 1 3 1 1 3 3 1 1 3 3 1 3 3 3
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * ((((2 + 2) * 2) * 2) - 1))
A177074: 15 285 2985 29985 299985 2999985 29999985 299999985 2999999985 29999999985 299999999985 2999999999985 29999999999985 299999999999985 2999999999999985 29999999999999985
(((loop(\(x,i).(x * x),2,(x + 2)) * (x + 2)) div 2) div ((((2 + 2) * 2) * 2) - 1))
A033455: 1 8 34 104 259 560 1092 1968 3333 5368 8294 12376 17927 25312 34952 47328
((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x) div ((((2 + 2) * 2) * 2) - 1))
A000389: 0 0 0 0 0 1 6 21 56 126 252 462 792 1287 2002 3003
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),((((x * 2) * 2) * 2) * 2),1)
A147715: 1 129644790 4611686018427387903 4611686018427387903 4611686018427387903
(2 div (if x <= 0 then 2 else ((x mod (((((0 - x) * x) mod ((x div 2) + 2)) div 2) + 2)) + 1)))
A091400: 1 1 0 1 2 0 0 1 0 2 0 0 2 0 0 1
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) div (((((x mod 2) * 2) * 2) * 2) + 1))
A280411: 1 1 100 111 10000 11111 1000000 1111111 100000000 111111111 10000000000 11111111111 1000000000000 1111111111111 100000000000000 111111111111111
(loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),(x + 2),0) div (((2 + 2) * 2) + 1))
A057933: 9 98 987 9876 98765 987654 9876543 98765432 987654320 9876543209 98765432098 987654320987 9876543209876 98765432098765 987654320987654 9876543209876543
(2 - ((if x <= 0 then 1 else (((x * x) div (2 + 2)) * (2 + 1))) mod (((2 + 2) * 2) + 1)))
A181982: 1 2 ~1 ~4 ~1 2 2 2 ~1 ~4 ~1 2 2 2 ~1 ~4
(loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1) * (((2 + 2) * 2) + 1))
A177107: 9 279 2979 29979 299979 2999979 29999979 299999979 2999999979 29999999979 299999999979 2999999999979 29999999999979 299999999999979 2999999999999979 29999999999999979
((((if (x mod 2) <= 0 then x else (((2 + 1) * 2) + 1)) * x) + 1) mod (((2 + 2) * 2) + 1))
A254270: 1 8 5 4 8 0 1
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 2) * 2) + 1))
A130851: 1 1 2 5 5 6 6 6 8 2 2 7 4 4 0 0
((loop(\(x,i).((2 + 1) * x),x,(((2 + 2) * 2) + x)) + 1) div (((2 + 2) * 2) + 1))
A188545: 1 3 10
A126184: 1 3 10 33 108 351 1134 3645 11664 37179 118098 373977 1180980 3720087 11691702 36669429
((((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) + 1) * 2) * (((2 + 2) * 2) + 1))
A157505: 1476 2934 4392 5850 7308 8766 10224 11682 13140 14598 16056 17514 18972 20430 21888 23346
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) * 2) + 1))
A038194: 2 3 5 7 2 4 8 1 5 2 4 1 5 7 2 8
(if x <= 0 then 0 else (((x div (((2 + 2) * (2 + 1)) - 1)) + x) + (((2 + 2) * 2) + 1)))
A063662: 0 10 11 12 13 14 15 16 17 18 19 21 22 23 24 25
(((x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2))) + x) * (((2 + 2) * 2) + 1))
A259729: 0 9 18 27 36 45 54 63 72 81 90 99 108 126 144 162
((if ((((2 + 2) * 2) mod (x + 2)) - x) <= 0 then 1 else 0) * ((x mod ((2 + 2) * 2)) + 1))
A049267: 1 0 3 4 5 6 7 0 1 2 3 4 5 6 7 8
(((0 - 2) - 2) mod ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1))
A336937: 0 0 2 0 1 2 3 0 0 1 2 2 1 3 3 0
(if x <= 0 then 1 else (((((2 + 2) + 1) * x) - (x div (((2 - x) div (2 + 2)) - 2))) - 1))
A313781: 1 5 10 15 21 26 31 36 41 47 52 57 62 67 72 77
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017633: 59049 4084101 39135393 184528125 601692057 1564031349 3486784401 6956883693 12762815625 21924480357 35723051649 55730836701 83841135993 122298103125 173726604657 241162079949
((x mod ((((if ((x + 1) mod ((x div (2 + 2)) + 2)) <= 0 then 2 else x) div 2) + 2) * 2)) + 1)
A334684: 1 2 3 4 5 6 7 8 9 10 11 6 13 14 3 16
(if (x div 2) <= 0 then ((x + 1) mod 2) else (x - ((x * x) div ((((x + 2) + 2) + 2) + 1))))
A130247: 1 0 2 3 3 3 4 4 4 4 5 5 5 5 5 5
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,((x + 2) + 2)) div 2) - 1)
A007851: 1 4 14 48 167 593 2144 7864 29171 109173 411501 1560089 5943199 22732739 87253604 335897864
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * ((((x + 2) * 2) * 2) - 1))
A095752: 7 121 1665 21109 255553 2999997 34444441 388888885 4333333329 47777777773 522222222217 5666666666661 61111111111105 655555555555549 6999999999999993 74444444444444437
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) * 2) + 1))
A017083: 1 4782969 410338673 6103515625 42618442977 194754273881 678223072849 1954897493193 4902227890625 11047398519097 22876792454961 44231334895529 80798284478113 140710042265625
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((((x * 2) * 2) * 2) + 1))
A050478: 1 9 34 125 462 1722 6468 24453 92950 354926 1360476 5231954 20177164 78004500 302211720 1173076245
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) * 2) * 2) + 1)))
A016998: 1 262144 11390625 113379904 594823321 2176782336 6321363049 15625000000 34296447249 68719476736 128100283921 225199600704 377149515625 606355001344 941480149401 1418519112256
(((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1) div (((x div 2) mod 2) + 2)) + 1)
A052125: 1 1 1 1 1 3 1 1 1 5 1 4 1 7 5 1
((2 + 1) - loop(\(x,i).(x * 2),((((x div 2) + x) div 2) mod (((x div 2) mod 2) + 2)),1))
A195679: 2 2 1 ~1 1 1 1 ~1 2 2 1 ~1 1 1 1 ~1
((((((loop(\(x,i).((x + 1) * 2),x,2) div (x + 2)) + x) + (x div 2)) div 2) div 2) + 1)
A245879: 1 1 2 3 5 7 11 17 29 50
(x - ((((x - (x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x mod 2)))) div 2) * 2) - 1))
A216475: 1 2 3 2 5 4 5 4 9 4 11 6 7 8 15 6
(((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),(x mod 2)) * 2) * 2) + 1)
A328333: 1 5 9 49 89 489 889 4889 8889 48889 88889 488889 888889 4888889 8888889 48888889
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x div 2),((((x mod 2) * 2) * 2) + 1))
A018678: 1 5 13 65 169 845
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x div 2),((((x mod 2) * 2) * 2) + 1))
A018545: 1 5 11 55 121 605
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - (x mod 2)) + 2) + 2) + 1)
A107623: 5 5 8 9 14 15 20 21 26 31 34 39 44 45 50 55
(((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - 1) mod (2 + 2)) + 1)
A321319: 1 1 2 1 2 2 4 1 2 2 4 2 4 4 4 1
((x + 1) div (if (((x div (2 + 1)) + 1) mod (2 + 1)) <= 0 then ((x - 1) mod (2 + 2)) else 1))
A038388: 1 2 3 4 5 6 7 4 3 10 11 12 13 14 15 8
(x - ((if (x mod ((2 + 2) + 1)) <= 0 then (((x mod 2) * 2) - 1) else 0) * ((2 + 2) + 1)))
A222214: 5 1 2 3 4 0 6 7 8 9 15 11 12 13 14 10
((2 + 2) div ((1 - loop(\(x,i).(((x - 1) div 2) * (2 + 1)),x,0)) mod ((2 + 2) + 1)))
A247004: 4 1 2 1 2 1 2 1 4 1 2 1 1 1 2 1
(2 div ((1 - (if ((x + 2) mod (((x div 2) mod 2) + 2)) <= 0 then x else 0)) mod ((2 + 2) + 1)))
A090044: 2 2 2 2 1 2 2 0 0 2 2 2 0 2 2 2
((((if (x - (2 + 2)) <= 0 then x else (x + 1)) * ((2 + 2) + 1)) + 1) * ((2 + 2) + 1))
A044463: 5 30 55 80 105 155 180 205 230 255 280 305 330 355 380 405
(loop(\(x,i).(x * 2),(x - ((((x + 1) div 2) div 2) * (2 + 1))),1) div ((2 + 2) + 1))
A035623: 0 0 0 0 0 0 1 0 0 1 3 0 1 3 6 1
(x div ((((x div 2) mod ((if (x mod 2) <= 0 then (2 + 2) else 0) + 2)) + 1) * ((2 + 2) + 1)))
A081389: 0 0 0 0 0 1 0 0 0 1 0 1 2 2 1 1
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * ((2 + 2) + 1))
A177079: 35 485 4985 49985 499985 4999985 49999985 499999985 4999999985 49999999985 499999999985 4999999999985 49999999999985 499999999999985 4999999999999985 49999999999999985
((((((loop(\(x,i).((x div 2) + x),x,2) div 2) div 2) + 1) div 2) + 1) div ((2 + 2) + 1))
A130732: 0 0 0 0 0 0 0 1 1 1 2 3 5 8 12 18
((x * 2) div (loop(\(x,i).i,(((x + 2) * x) mod ((2 + 1) * 2)),1) * ((2 + 2) + 1)))
A144740: 0 0 0 0 1 0 2 0 1 1 4 0 4 1 2 2
(if x <= 0 then 1 else ((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) * ((2 + 2) + 1)))
A134481: 1 5 20 50 100 175 280 420 600 825 1100 1430 1820 2275 2800 3400
((((if x <= 0 then 1 else ((((x * x) * 2) + 1) * 2)) * 2) * (2 + 1)) div ((2 + 2) + 1))
A299254: 1 7 21 45 79 122 175 237 309 391 482 583 693 813 943 1082
((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) * 2)) div (2 + 1)) div ((2 + 2) + 1))
A000970: 1 7 25 66 143 273 476 775 1197 1771 2530 3510 4750 6293 8184 10472
(if x <= 0 then 1 else ((x - ((((1 - (x * x)) * x) div 2) div (2 + 1))) * ((2 + 2) + 1)))
A008487: 1 5 15 35 70 125 205 315 460 645 875 1155 1490 1885 2345 2875
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017334: 15625 11390625 244140625 1838265625 8303765625 27680640625 75418890625 177978515625 377149515625 735091890625 1340095640625 2313060765625 3814697265625 6053445140625 9294114390625
(loop(\(x,i).(((x * 2) * (2 + 1)) + 2),(x div 2),((x mod 2) + 1)) * ((2 + 2) + 1))
A117865: 5 10 40 70 250 430 1510 2590 9070 15550 54430 93310 326590 559870 1959550 3359230
(loop(\(x,i).(x * 2),(((((x div (2 + 2)) mod 2) + x) div 2) + x),1) mod ((2 + 2) + 1))
A138967: 1 2 3 1 4 1 2 3 1 2 3 1 4 1 2 3
((loop(\(x,i).((((x * 2) + 1) * (2 + 1)) + x),(x + 1),1) div 2) div ((2 + 2) + 1))
A037677: 1 7 51 360 2521 17647 123531 864720 6053041 42371287 296599011 2076193080 14533351561 101733460927 712134226491 4984939585440
(((loop(\(x,i).((((2 + 1) * 2) + 1) * (x + 1)),x,0) div 2) + 2) div ((2 + 2) + 1))
A178397: 0 1 6 40 280 1961 13726 96080 672560 4707921 32955446 230688120 1614816840 11303717881 79126025166 553882176160
((if x <= 0 then 1 else (x + 2)) - (((((1 - x) div (2 + 1)) * 2) * 2) div ((2 + 2) + 1)))
A116883: 1 3 5 6 7 9 10 11 13 14 15 17 18 19 20 21
((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * 2) * 2) * ((2 + 2) + 1))
A177109: 20 380 3980 39980 399980 3999980 39999980 399999980 3999999980 39999999980 399999999980 3999999999980 39999999999980 399999999999980 3999999999999980 39999999999999980
((((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) + 2) * 2) * ((2 + 2) + 1))
A157510: 1020 2020 3020 4020 5020 6020 7020 8020 9020 10020 11020 12020 13020 14020 15020 16020
((((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) - 2) * 2) * ((2 + 2) + 1))
A157515: 980 1980 2980 3980 4980 5980 6980 7980 8980 9980 10980 11980 12980 13980 14980 15980
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * ((2 + 2) + 1))
A142342: 20 30 50 70 110 130 170 190 230 290 310 370 410 430 470 530
((x + 2) - ((1 - (if ((x div 2) - 2) <= 0 then x else ((x + 2) + 2))) div ((2 + 2) + 1)))
A326070: 2 3 5 6 7 8 10 11 13 14 15 16 17 19 20 21
((((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1) * ((x div 2) * 2)) div ((2 + 2) + 1))
A217754: 0 0 0 0 1 1 2 2 4 3 4 4 4 4 5
(((x * 2) * 2) - ((0 - (if (((x div 2) - 2) - 2) <= 0 then 1 else x)) div ((2 + 2) + 1)))
A314670: 1 5 9 13 17 21 25 29 33 37 42 47 51 55 59 63
((if x <= 0 then 1 else ((x * 2) * 2)) - ((((x + 1) mod (2 + 1)) - x) div ((2 + 2) + 1)))
A312893: 1 4 9 13 17 21 25 29 34 38 42 47 51 55 59 63
((loop(\(x,i).(((x - 1) * x) div (i + 1)),2,((x + 2) + 1)) * x) div ((2 + 2) + 1))
A277935: 0 2 12 42 112 252 504 924 1584 2574 4004 6006 8736 12376 17136 23256
((loop(\(x,i).(((((x div 2) div (2 + 1)) * 2) + x) + 1),x,1) - x) div ((2 + 2) + 1))
A319472-A026813: 0 0 0 0 0 0 0 1 1 2 3 5 7 11 15 21
loop(\(x,i).(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) - 2),x,((2 + 2) + 1))
A327582: 5 243 11905 583343 28583805 1400606443 68629715705 3362856069543 164779947407605 8074217422972643 395636653725659505 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (2 - (x mod ((((x mod (2 + 1)) + 2) * 2) + 1))) <= 0 then 1 else x) mod (2 + 2)) + 1)
A143594: 1 2 2 2 2 2 3 4 2 2 2 2 2 2 2 4
((x div 2) - ((if (x mod ((2 + 2) + 1)) <= 0 then (x - 1) else 1) mod ((x div (2 + 2)) + 1)))
A295630: 0 0 1 1 1 2 2 2 3 3 5 4 5 5 6 5
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x * x)) mod (2 + 2)) + 1)
A336099: 1 2 1 2 1 3 1 2 1 3 1 3 1 1 1 2
(((((if (x - 1) <= 0 then 0 else (((x + 1) div ((2 + 2) + 1)) + 1)) + x) + 2) * 2) + 1)
A256387: 5 7 11 13 17 19 21 23 25 29 31 33 35 37 41 43
(((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) + 2) + 1)) + x) + 2) * 2) + 1)
A282057: 5 7 9 11 13 17 19 21 23 25 29 31 35 37 39 41
((((((loop(\(x,i).((i + x) * (x + 2)),2,x) div 2) div (2 + 1)) + x) div 2) div 2) + 1)
A084569: 1 3 9 21 44 82 142 230 355 525 751 1043 1414 1876 2444 3132
(((((x * x) * x) * (x * x)) * (x * x)) mod (loop(\(x,i).((x + 1) * x),2,2) + 1))
A070723: 0 1 42 37 1 37 6 7 42 36 6 1 37 36 36 36
(((if x <= 0 then 1 else ((x - ((x * x) div ((((2 + 2) * 2) * 2) + x))) + 2)) + 2) + 1)
A123860: 4 6 7 8 9 9 10 10 11 11 12 12 12 13 13 13
(x - ((x + 1) mod ((x mod ((loop(\(x,i).((i * i) + x),x,0) mod (x + 2)) + 2)) + 1)))
A073137: 0 1 2 3 4 5 5 7 8 9 9 11 9 11 11 15
((x mod (1 - (x div (1 - (((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)) + 2))))) + 1)
A173614: 1 2 1 4 2 6 1 2 4 10 2 12 6 4 1 16
((loop(\(x,i).((((x - (x div (2 + 2))) div 2) + x) + 2),x,2) div ((x + 2) + 2)) + 1)
A130083: 1 2 2 3 3 4 5 6 8 10 13 17 22 28 36 47
((if (x mod ((2 + 2) * (2 + 1))) <= 0 then (x div (2 + 1)) else 0) * (((x + 2) + 2) + 1))
A282338-A281888: 0 0 0 0 0 0 0 0 0 0 0 0 68 0 0 0
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + 2) * 2) * (x + 1)) div (((x + 2) + 2) + 1))
A165077: 1 2 2 3 3 3 5 5 5 5 5 6 6 6 6 6
(loop(\(x,i).((((x * x) * x) * (x * x)) * (((2 + 2) * 2) + 1)),(x * 2),2) + 1)
A216148: 3 17832200896513 4611686018427387903
((((x * x) div ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)) + ((x * 2) * 2)) + 1)
A313729: 1 5 10 15 20 25 29 33 38 43 48 53 58 63 68 73
loop(\(x,i).((x + 2) * 2),(((((x + 2) * x) mod ((2 + 1) * 2)) + (x div 2)) div 2),1)
A341202: 1 6 6 16 6 36 6
loop(\(x,i).((x * 2) * 2),(((((x div (2 + 2)) + x) * (2 + 1)) + (x mod 2)) div 2),1)
A327496: 1 16 64 1024 16384 262144 1048576 16777216 1073741824 17179869184 68719476736 1099511627776 17592186044416 281474976710656 1125899906842624 18014398509481984
loop(\(x,i).((x * 2) * 2),(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),1)
A110258-A056982: 1 4 64 256 16384 65536 1048576 4194304 1073741824 4294967296 68719476736 274877906944 17592186044416 70368744177664 1125899906842624 4503599627370496
((x div ((x div ((if (x mod ((x mod (2 + 1)) + 1)) <= 0 then 1 else 2) + (x mod 2))) + 2)) + 1)
A330437: 1 1 1 2 1 2 1 2 2 2 1 3 1 3 2 2
(loop(\(x,i).(((((x mod (2 + 2)) + 2) * 2) + 1) * x),x,1) * (((x mod 2) * 2) + 1))
A182754: 1 21 77 1617 5929 124509 456533 9587193 35153041 738213861 2706784157 56842467297 208422380089 4376869981869 16048523266853 337018988603913
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),(((x mod 2) * 2) + 1))
A126324: 1 3 1 3 2 6 5 15 14 42 42 126 132 396 429 1287
loop(\(x,i).(((1 - x) mod (2 + 2)) + ((x * 2) * 2)),(x div 2),(((x mod 2) * 2) + 1))
A281216: 1 3 4 14 17 59 68 238 273 955 1092 3822 4369 15291 17476 61166
loop(\(x,i).(((((0 - x) mod (2 + 2)) * 2) + 1) * x),(x div 2),(((x mod 2) * 2) + 1))
A018267: 1 3 7 9 21 63
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (((x mod 2) * 2) - 1))
A273960: ~2 3 ~5 7 ~11 13 ~17 19 ~23 29 ~31 37 ~41 43 ~47 53
(((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),x,1) * x) + ((x mod 2) * 2)) - 1)
A105926: ~1 1 1 7 35 221 1589 12979 118663 1201465 13349609 161530271 2114578091 29780308117 448995414685 7215997736011
((((((loop(\(x,i).(((i mod 2) + x) * 2),x,1) div (x + 1)) * x) + x) div 2) * 2) + 1)
A079444: 1 3 7 15 33 65 133 267
((((x + 2) * x) - (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 1)) div (2 + 1))
A192225: 0 1 2 5
A239072: 0 1 2 5 7 11 15 21 26 32 39 47 55 64 74 85
((loop(\(x,i).((x * 2) - ((1 - ((i mod 2) * 2)) * i)),(x - 1),0) + 1) div (2 + 1))
A139797: 0 0 0 0 1 1 3 4 10 18 39 75 153 302 608 1212
(((((if (x mod 2) <= 0 then 2 else x) + x) div 2) * ((x div ((2 + 2) + 1)) + 1)) mod (2 + 1))
A039971: 1 1 2 0 0 1 2 2 1 0 0 0 0 0 0 0
(((((loop(\(x,i).((x + 1) * i),x,x) * (x + 1)) div 2) div (2 + 1)) + 1) mod (2 + 1))
A065833: 1 1 2 2 2 2 0 2 1 1 1 0 2 0 2 0
((((if (x - (2 + 2)) <= 0 then 1 else 2) * (x + 1)) * ((x div (2 + 1)) + 1)) mod (2 + 1))
A006996: 1 2 0 2 1 0 0 0 0 2 1 0 1 2 0 0
(loop(\(x,i).(x * 2),x,1) div (((((x mod 2) + x) * ((x * 2) + 1)) + 1) * (2 + 1)))
A051058: 0 0 0 0 0 0 0 0 0 0 1 2 4 7 13 21
(if (x - 1) <= 0 then 1 else (((((x * x) * (x - 1)) * ((x div 2) - 1)) + 1) * (2 + 1)))
A071536: 1 1 3 3 147
(loop(\(x,i).(((((2 + 2) + 1) * x) - (x mod (2 + 1))) + 1),(x + 1),1) div (2 + 1))
A037598: 1 8 40 201 1008 5040 25201 126008 630040 3150201 15751008 78755040 393775201 1968876008 9844380040 49221900201
(loop(\(x,i).(((((2 + 2) + 1) * x) + 2) - (x mod (2 + 1))),(x + 1),1) div (2 + 1))
A037619: 2 10 53 267 1335 6678 33392 166960 834803 4174017 20870085 104350428 521752142 2608760710 13043803553 65219017767
(loop(\(x,i).((((x * 2) * 2) div (i + 2)) * ((i * 2) + 1)),(x + 1),1) div (2 + 1))
A069731: 1 5 28 168 1056 6864 45760 311168 2149888 15049216 106502144 760729600 5477253120 39710085120 289650032640 2124100239360
(((((loop(\(x,i).((x + 1) * 2),x,(0 - x)) div (x + 1)) + 1) div 2) + 1) mod (2 + 1))
A345164-A339742-A335452-A318370-A050326: 1 1 1 0 1 2 1 0 0 2 1 1 1 2 2 0
((((loop(\(x,i).(x * x),1,((x - 1) * x)) mod ((x + 2) + 1)) div 2) + 1) mod (2 + 1))
A240159-A191312: 1 1 0 1 0 1 1 0 1 1 1 0 2 1 2 1
((loop(\(x,i).(((x + 1) * x) div 2),2,(x + 1)) * (((x + 1) * 2) + 1)) div (2 + 1))
A244864: 1 10 49 165 440 1001 2030 3774 6555 10780 16951 25675 37674 53795 75020 102476
(((x mod ((if (x mod (2 + 1)) <= 0 then 1 else ((x div (2 + 1)) + 2)) + 2)) + 1) mod (2 + 1))
A260648: 1 2 0 1 2 1 1 2 0 1 1 2 1 0 1 1
(((((x mod ((if (x mod ((2 + 2) * 2)) <= 0 then x else 1) + 2)) div 2) * 2) + 1) * (2 + 1))
A074724: 3 3 9 3 3 9 3 3 27 3 3 9 3 3 9 3
((((((if x <= 0 then 1 else (x div (2 + 1))) mod 2) * x) + 1) mod ((2 + 2) + 1)) mod (2 + 1))
A321761: 1 1 1 1 0 1 1 1 1 0 1 2 1 1 1 1
(loop(\(x,i).(((x - ((x div 2) div (2 + 1))) div 2) + x),x,((2 + 2) + 1)) div (2 + 1))
A001521: 1 2 3 4 6 9 13 19 27 38 54 77 109 154 218 309
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017562: 729 11390625 387420489 3518743761 17596287801 62523502209 177978515625 433626201009 941480149401 1870414552161 3462825991689 6053445140625 10090298369529 16157819263041 25002110044521
((loop(\(x,i).(((x - 2) * (x - 1)) div 2),2,((x + 2) + 1)) div (2 + 1)) div (2 + 1))
A216172: 0 0 1 4 10 21 39 66 105 159 231 325 445 595 780 1005
(((x + 1) * 2) - ((((if (x mod (2 + 1)) <= 0 then x else 1) + x) div (2 + 1)) mod (2 + 1)))
A285163: 2 4 5 6 9 10 13 14 18 20 22 23 24 27 28 31
((loop(\(x,i).((x * 2) * 2),(x div 2),(2 - (x mod 2))) + (x mod (2 + 1))) div (2 + 1))
A135574: 0 0 3 1 11 6 42 21 171 85 683 342 2730 1365 10923 5461
((loop(\(x,i).((x - 1) * x),1,((((x div 2) * (2 + 1)) + x) * 2)) + 1) * (2 + 1))
A128450: 3 9 273 399
(((loop(\(x,i).(x - (x div ((2 + 2) * 2))),2,x) + 1) * ((x * 2) + 1)) mod (2 + 1))
A029317: 1 0 0 1 0 0 1 0 1 2 0 2 2 0 2 2
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - (((x * 2) + 1) * (2 + 1))))
A016890: 729 262144 4826809 34012224 148035889 481890304 1291467969 3010936384 6321363049 12230590464 22164361129 38068692544 62523502209 98867482624 151334226289 225199600704
((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2)) + (x div 2)) + 1) * (2 + 1))
A114614: 3 6 12 15 21 24 30 33 39 42 48 51 57 60 66 75
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017202: 729 2985984 85766121 729000000 3518743761 12230590464 34296447249 82653950016 177978515625 351298031616 646990183449 1126162419264 1870414552161 2985984000000 4608273662721
(((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + (x div (2 + 1))) * x) + 1) mod (2 + 1))
A089650: 1 2 0 1 0 2 1 1 1 1 2 0 1 1 1 1
((compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x) + 1) * (2 + 1))
A065119-A063996: 3 6 9 12 18 24 27 36 48 54 72 81 96 108 144 162
((compr(\x.(loop(\(x,i).((x + 2) * x),2,((2 + 1) * 2)) mod (x + 1)),x) + 1) * (2 + 1))
A070021: 3 6 9 12 15 18 24 30 36 45 48 60 72 75 90 96
(((((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 1))) * 2) + x) + 1) div (2 + 1))
A081607: 1 1 1 2 2 2 3 3 3 4 5 6 7 7 7 8
((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * (2 + 1))
A085126: 3 6 9 12 15 18 21 24 27 30 36 42 45 48 54 60
((loop(\(x,i).(((x * x) + 2) * x),1,(((x + 1) * 2) + 1)) * (x + 1)) div (2 + 1))
A199394: 11 90 357 996 2255 4446 7945 13192 20691 31010 44781 62700 85527 114086 149265 192016
(((loop(\(x,i).(x * x),1,((((2 + 2) + 1) * x) + 2)) - 1) * (x + 1)) div (2 + 1))
A100164: 1 32 143 384 805 1456 2387 3648 5289 7360 9911 12992 16653 20944 25915 31616
((loop(\(x,i).(((x + 2) * x) div (2 + 2)),1,((x + 2) + 1)) * (x + 1)) div (2 + 1))
A003451: 1 4 8 16 25 40 56 80 105 140 176 224 273 336 400 480
((loop(\(x,i).((((i + 1) * 2) + 1) * x),((2 + 2) + 1),2) * (x + 1)) div (2 + 1))
A147573: 30030 60060 90090 120120 150150 180180 210210 240240 270270 300300 330330 360360 390390 420420 450450 480480
((loop(\(x,i).((((0 - x) * (x * 2)) - 1) * (2 + 1)),2,x) mod (x + 1)) mod (2 + 1))
A094713: 0 1 0 0 1 0 1 1 0 1 0 0 2 1 0 1
((((2 + 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * (2 + 1))
A059161: 12 24 12 48 12 24 12 96 12 24 12 48 12 24 12 192
(loop(\(x,i).((((x * 2) * 2) * ((2 + 2) + 1)) + ((i + 1) * x)),x,1) * (2 + 1))
A157984: 3 66 1518 36432 910800 23680800 639381600 17902684800 519177859200 15575335776000 482835409056000 15450733089792000 509874191963136000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((i + 2) * i) * i) * (i + 1)) + x),(x + 1),0) div 2) div (2 + 1))
A034263: 1 9 39 119 294 630 1218 2178 3663 5863 9009 13377 19292 27132 37332 50388
((((((if ((x div 2) - 2) <= 0 then x else (x + 1)) * 2) * (2 + 1)) + 1) * 2) * (2 + 1))
A044489: 6 42 78 114 150 186 258 294 330 366 402 438 474 510 546 582
(((((((loop(\(x,i).(x * 2),x,1) + 1) div (x + 2)) + 1) div 2) + 1) * 2) mod (2 + 1))
A117454: 1 1 1 1 1 0 1 1 1 0 1 1 0 2 0 1
(((2 div (((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2) + 1)) + 2) mod (2 + 1))
A323090: 1 1 1 0 1 2 1 0 0 2 1 2 1 2 2 0
((loop(\(x,i).(((x * x) * x) * (2 + 2)),(x + 1),((2 + 2) + 1)) div 2) div (2 + 1))
A093676: 83 83333333 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(2 + 1))
A160713: 3 6 6 12 6 12 12 24 6 12 12 24 12 24 24 48
(((loop(\(x,i).((x - ((x div 2) div (0 - 2))) + 2),x,2) div (2 + 1)) * 2) div (2 + 1))
A239467: 0 0 1 2 3 4 6 8 11 14 19 24 31 39 50 62
((loop(\(x,i).(((x * x) - 1) * x),1,(((x + 1) * x) * (2 + 1))) div 2) div (2 + 1))
A240826: 0 35 969 7770 35990 121485 333375 790244 1679580 3280455 5989445 10349790 17083794 27128465 41674395 62207880
(if (x - 1) <= 0 then 1 else (x - (1 - (((x - ((x * x) div (2 + 1))) div 2) div (2 + 1)))))
A034136: 1 1 1 2 2 3 4 4 4 5 5 5 5 4 4 4
((((if x <= 0 then 1 else (((x div ((2 + 2) * (2 + 1))) + x) * 2)) + 1) * 2) div (2 + 1))
A027564: 1 2 3 4 6 7 8 10 11 12 14 15 18 19 20 22
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017598: 46656 34012224 729000000 5489031744 24794911296 82653950016 225199600704 531441000000 1126162419264 2194972623936 4001504141376 6906762437184 11390625000000 18075490334784
(((((((if (2 - x) <= 0 then x else 0) + 1) * 2) + 1) * ((x div 2) + 1)) div 2) mod (2 + 1))
A180981: 1 1 1 0 1 1 0 1 2 1 0 0 1 2 1 0
(((compr(\x.(loop(\(x,i).((x + 2) * x),(2 + 1),2) mod (x + 1)),x) + 1) div 2) mod (2 + 1))
A192064: 0 1 2 2 1 2 2 1 1 2 2 1 2 2 1 0
(loop(\(x,i).(((((2 + 2) + 1) * x) - (x mod (2 + 1))) + 1),(x + 1),2) div (2 + 1))
A037647: 3 15 76 383 1915 9576 47883 239415 1197076 5985383 29926915 149634576 748172883 3740864415 18704322076 93521610383
(loop(\(x,i).(((((2 + 2) + 1) * x) + 2) - (x mod (2 + 1))),(x + 1),2) div (2 + 1))
A037668: 3 17 85 428 2142 10710 53553 267767 1338835 6694178 33470892 167354460 836772303 4183861517 20919307585 104596537928
(((loop(\(x,i).((0 - x) - 1),(x div 2),((0 - 2) - 2)) mod (x + 1)) div 2) mod (2 + 1))
A153246: 0 0 0 1 0 1 1 1 2 0 1 1 1 2 1 1
((loop(\(x,i).((2 + 1) * x),x,((((x + 2) + 2) + 2) * (x + 1))) div 2) div (2 + 1))
A080420: 1 7 36 162 675 2673 10206 37908 137781 492075 1732104 6022998 20726199 70681653 239148450 803538792
(loop(\(x,i).((x - 1) * x),1,(((((2 + 1) * x) + 2) * (x + 1)) div 2)) * (2 + 1))
A135037: 0 60 396 1386 3570 7650 14490 25116 40716 62640 92400 131670 182286 246246 325710 423000
((((((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A234041: 1 1 2 10 5 7 28 12 15 55 22 26 91 35 40 136
loop(\(x,i).(((x * x) * x) * (x * x)),1,(x - (1 - (((x + 1) * 2) * (2 + 1)))))
A017045: 3125 248832 2476099 11881376 39135393 102400000 229345007 459165024 844596301 1453933568 2373046875 3707398432 5584059449 8153726976 11592740743 16105100000
(((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + (((x + 1) * 2) * (2 + 1)))
A309434: 6 13 20 26 33 40 46 53 60 66 73 80 87 93 100 107
(loop(\(x,i).((x - 1) * x),1,(((((x + 2) * 2) + x) * (x + 1)) div 2)) * (2 + 1))
A268685: 6 126 630 1950 4680 9576 17556 29700 47250 71610 104346 147186 202020 270900 356040 459816
((((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) * x) * (x + 1)) div 2) div (2 + 1))
A001297: 0 1 15 90 350 1050 2646 5880 11880 22275 39325 66066 106470 165620 249900 367200
loop(\(x,i).(((x - 1) * x) div 2),1,(((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)))
A054563: 0 0 6 45 190 595 1540 3486 7140 13530 24090 40755 66066 103285 156520 230860
((loop(\(x,i).(x * 2),x,1) - x) - (((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)))
A084635: 1 1 2 4 8 17 38 86 192 419 894 1872 3864 7893 16006 32298
(1 - ((x + 1) mod (1 - (((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * (2 + 1)))))
A052037: 1 1 1 1 1 1 1 1 1 2 1 11 10 9 8 7
((if x <= 0 then 1 else ((x div ((2 + 2) + 1)) - (x div ((x mod (0 - 2)) - 2)))) mod (2 + 1))
A340453: 1 1 1 1 2 0 1 1 2 1 1 0 2 1 0 2
(((if x <= 0 then 1 else ((((x * x) div (((2 + 1) * 2) + 1)) + 1) div 2)) + 2) div (2 + 1))
A029245: 1 0 0 1 1 1 1 2 2 2 3 3 4 4 5 6
((((x - (if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 1)))) + 2) * 2) div (2 + 1))
A081608: 0 1 2 2 3 4 4 5 6 6 6 6 6 7 8 8
((if x <= 0 then 1 else (x * 2)) - ((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1)))
A263800: 1 2 4 6 8 9 10
A100417: 1 2 4 6 8 9 10 12 14 16 18 20 22 24 26 27
((((((if (x mod 2) <= 0 then 2 else 0) + (x div 2)) * ((x div 2) + 1)) div 2) + 2) div (2 + 1))
A008742: 1 0 1 1 2 1 4 2 5 4 7 5 10 7 12 10
(((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1) * 2) * 2) * (2 + 1))
A177112: 12 372 3972 39972 399972 3999972 39999972 399999972 3999999972 39999999972 399999999972 3999999999972 39999999999972 399999999999972 3999999999999972 39999999999999972
(((((((((if x <= 0 then 1 else 2) + 2) + 1) * (2 + 1)) + x) + 1) * 2) * 2) + (2 + 1))
A217236: 55 71 75 79
((((loop(\(x,i).((i * i) * x),((x * 2) - 1),1) * (x + 1)) div 2) + 2) div (2 + 1))
A060617: 0 1 18 9600
(((loop(\(x,i).((x * 2) * 2),x,(((x + 2) * (2 + 1)) + 2)) div 2) div 2) * (2 + 1))
A291004: 6 33 168 816 3840 17664 79872 356352 1572864 6881280 29884416 128974848 553648128 2365587456 10066329600 42681237504
((((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) - 2) * 2) * 2) * (2 + 1))
A157287: 1704 3432 5160 6888 8616 10344 12072 13800 15528 17256 18984 20712 22440 24168 25896 27624
(((((loop(\(x,i).((x - 2) * x),2,((x + 2) + 2)) div 2) div 2) div 2) div 2) div (2 + 1))
A001752: 1 4 11 24 46 80 130 200 295 420 581 784 1036 1344 1716 2160
((2 - (if x <= 0 then 1 else ((x - (((x - 1) * x) div ((2 + 2) * 2))) mod 2))) + (2 + 1))
A023403: 4 4 5 4 4 4 4 5 4 5 4 5 5 5 5 4
((((loop(\(x,i).((x * x) * (x - 2)),1,((x + 2) * x)) div 2) div 2) + 2) div (2 + 1))
A231304: 0 1 32 244 1056 3369 8832 20176 41600 79225 141600 240276 390432 611569 928256 1370944
((((loop(\(x,i).(((x * x) - 1) * x),1,((x + 2) * x)) div 2) div 2) div 2) div (2 + 1))
A337899: 0 1 21 140 575 1785 4606 10416 21330 40425 71995 121836 197561 308945 468300 690880
(((loop(\(x,i).(((x * x) - 1) * x),1,((x + 2) * (x + 2))) div 2) div 2) div (2 + 1))
A126275: 5 60 340 1300 3885 9800 21840 44280 83325 147620 248820 402220 627445 949200 1398080 2011440
((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * ((x + 1) mod (2 + 2))) mod (2 + 1))
A000089: 1 1 0 0 2 0 0 0 0 2 0 0 2 0 0 0
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod ((2 + 2) * (2 + 1)))
A159989: 1 1 2 5 2 6 0 9 2 2 8 10 4 4 0 9
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((2 + 2) * (2 + 1)))
A039710: 2 3 5 7 11 1 5 7 11 5 7 1 5 7 11 5
(((((loop(\(x,i).((x * x) div 2),(x + 1),x) div (2 + 1)) + x) + 2) * 2) + (2 + 1))
A302134: 7 9 11 353
((((((((if (x mod 2) <= 0 then x else 1) * 2) mod (x + 1)) + 2) + x) div 2) * 2) * (2 + 1))
A309118: 6 6 12 18 24 24 36 30 48 36 60 42 72 48 84 54
((((loop(\(x,i).((x * x) - 1),2,((x * x) + 1)) - 1) div (x + 2)) * 2) mod (2 + 1))
A332040: 1 1 1 0 1 2 1 0 0 2 1 1 1 1 1 0
loop(\(x,i).(((x * x) * x) * (x * x)),1,(1 - (x - (((x * 2) * 2) * (2 + 1)))))
A017405: 1 248832 6436343 45435424 184528125 550731776 1350125107 2887174368 5584059449 10000000000 16850581551 27027081632 41615795893 61917364224 89466096875 126049300576
loop(\(x,i).(((x * x) * x) * (x * x)),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017417: 32 371293 7962624 52521875 205962976 601692057 1453933568 3077056399 5904900000 10510100501 17623416832 28153056843 43204003424 64097340625 92389579776 129891985607
((((((if x <= 0 then 1 else x) + (x div 2)) mod ((x div (2 + 1)) + 1)) + x) + 2) div (2 + 1))
A239913: 0 1 1 1 2 2 2 3 3 4 5 4 5 6 5 7
(((if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 1 else x) + 2) div (2 + 1))
A117915-A117501: 1 1 1 1 2 2 1 3 3 3 1 4 4 5 5 1
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017238: 46656 11390625 191102976 1291467969 5489031744 17596287801 46656000000 107918163081 225199600704 433626201009 782757789696 1340095640625 2194972623936 3462825991689 5289852801024
((loop(\(x,i).(((x * x) - 1) * x),1,(((2 + 2) * (x + 1)) + x)) div 2) div (2 + 1))
A300522: 10 120 455 1140 2300 4060 6545 9880 14190 19600 26235 34220 43680 54740 67525 82160
(loop(\(x,i).((x - ((1 - (x * 2)) * 2)) * x),1,(((x + 1) * x) div 2)) div (2 + 1))
A264853: 0 1 13 56 160 365 721 1288 2136 3345 5005 7216 10088 13741 18305 23920
((if x <= 0 then 1 else ((x * 2) * 2)) - (((((x div (2 + 1)) mod 2) - x) * 2) div (2 + 1)))
A313510: 1 5 10 14 18 23 28 33 38 42 46 51 56 61 66 70
((((loop(\(x,i).((i - ((2 - x) div (2 + 2))) + x),x,2) div 2) + x) + 2) div (2 + 1))
A208856: 1 1 2 3 4 6 8 11 15 20 26 34 44 56 72 91
(1 - (((x + 1) * x) - (loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1))))
A323847: 1 0 0 4 16 41 85 155 259 406 606 870 1210 1639 2171 2821
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (i + 1)) + (x * 2)),(x * 2),(2 + 1))
A054330: 3 112 2016 25344 256256 2236416 17547264 127008768 862912512 5571084288 34487664640 206108098560 1195426971648 6757057298432 37346888122368 202396038856704
(if x <= 0 then 1 else ((((((x div 2) mod 2) - x) * 2) div (2 + 1)) + ((x * 2) * (2 + 1))))
A314122: 1 5 11 16 21 26 32 38 42 48 54 59 64 69 75 80
((if x <= 0 then 1 else ((((x div 2) mod (2 + 1)) - x) div (2 + 1))) + ((x * 2) * (2 + 1)))
A314247: 1 5 11 17 23 29 34 39 45 51 57 63 68 73 79 85
(((((x div 2) mod (2 + 2)) - x) div (2 + 2)) + (if x <= 0 then 1 else ((x * 2) * (2 + 1))))
A314250: 1 5 11 17 23 29 35 41 46 51 57 63 69 75 81 87
((((((x div 2) div (2 + 1)) mod 2) - x) div 2) + (if x <= 0 then 1 else ((x * 2) * (2 + 1))))
A314151: 1 5 11 16 22 27 33 39 44 50 55 61 66 71 77 82
(2 - ((if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 1 else (x div 2)) mod (2 + 1)))
A035212: 1 1 1 1 1 1 2 1 1 1 0 1 2 2 1 1
loop(\(x,i).(x * 2),x,((1 - (((x div 2) mod 2) * 2)) * (1 - ((x div 2) mod (2 + 1)))))
A120582: 1 2 0 0 ~16 ~32 ~64 ~128 0 0 1024 2048 4096 8192 0 0
(((loop(\(x,i).(x - ((x - ((x mod (2 + 1)) div 2)) div 2)),2,x) + x) * 2) mod (2 + 1))
A287072: 0 1 2 1 0 2 1 0 1 0 2 1 0 1 2 1
((((2 + 2) + 1) * x) - (((1 - x) * (x - 1)) div loop(\(x,i).(x * x),2,(2 + 1))))
A314110: 1 5 11 16 21 26 31 36 41 46 51 57 62 67 73 78
((x div 2) - (loop(\(x,i).((x + 2) + 2),((x div ((2 + 2) + 1)) - 1),x) div (2 + 1)))
A329885: 0 0 1 0 1 1 1 1 2 1 1 0 1 1 1 0
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - (((x mod (2 + 2)) - 2) - 1)),x,(2 + 1))
A037764: 3 30 301 3012 30123 301230 3012301 30123012 301230123 3012301230 30123012301 301230123012 3012301230123 30123012301230 301230123012301 3012301230123012
(((((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) div 2) * 2) + 1) + x) * (2 + 1))
A006639: 3 6 15 24 33 48 63 90
((((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then (2 + 2) else 1) * (2 + 1)) + x) + (2 + 1))
A004504: 15 16 17 9 10 11 12 13 14 24 25 26 18 19 20 21
((if x <= 0 then 1 else ((x * 2) * 2)) - (((((x div 2) + 1) mod (2 + 1)) - x) div (2 + 1)))
A058759: 1 4 8 13
A312065: 1 4 8 13 18 22 26 30 34 39 44 48 52 56 60 65
(loop(\(x,i).(((x * x) div (((2 + 2) * (2 + 1)) + 1)) + 2),(2 + 1),x) div (2 + 1))
A308995: 0 0 0 0 0 0 0 0 1 1 2 3 6 9 15 22
(((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)) + x) * (2 + 1))
A145204: 0 3 6 12 15 21 24 27 30 33 39 42 48 51 54 57
(((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x + 2)) div (2 + 1)) - x) - (2 + 1))
A051744: 2 8 21 45 85 147 238 366 540 770 1067 1443 1911 2485 3180 4012
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div 2) mod (2 + 1)) - x) div (2 + 1)))
A315471: 1 6 11 16 21 26 32 38 43 48 53 58 64 70 75 80
(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (if x <= 0 then 1 else x)) div (2 + 1))
A074734: 0 0 0 0 1 0 0 1 2 0 0 3 3 3 0 0
((((((x div 2) mod ((if (x mod (2 + 2)) <= 0 then 2 else 0) + 2)) + 1) * 2) + x) div (2 + 1))
A076235: 0 1 2 2 3 2 3 3 3 3 4 5 6 5 6 6
(loop(\(x,i).(((x * 2) - ((x div (((2 + 1) * 2) + 1)) mod 2)) + 1),2,x) + (2 + 1))
A190712: 6 10 14 17 21 25 29 32 36 40 44 47 51 55 62 66
((((loop(\(x,i).(((i + 2) * i) + x),x,1) * ((2 + 2) + 1)) div 2) + x) div (2 + 1))
A227347: 0 3 10 23 43 73 113 166 233 316 416 536 676 839 1026 1239
loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + ((x div ((2 + 2) + 1)) + 2)),x,(2 + 1))
A255981: 3 5 8 12 17
A018917: 3 5 8 12 17 24 33 45 61 82 110 147 196 261 347 461
(((x mod (if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else ((2 + 1) * 2))) + x) div (2 + 1))
A077563: 0 0 0 1 1 1 2 2 2 3 3 5 4 4 5 6
((loop(\(x,i).(x * 2),((((x div 2) div (2 + 1)) * (2 + 1)) div 2),2) + x) + (2 + 1))
A138469: 5 6 7 8 9 10 13 14 15 16 17 18 31 32 33 34
(loop(\(x,i).(((((((x div 2) * x) mod 2) - x) div (2 + 1)) + x) + 2),2,x) - (2 + 1))
A189660: 0 0 1 1 1 2 3 4 4 4 4 5 5 5 6 7
(((loop(\(x,i).(((x + 2) * x) div (((2 + 2) * 2) * 2)),2,x) * 2) + x) div (2 + 1))
A035632: 0 0 0 1 1 1 2 2 4 5 5 7 8 11 14 15
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((x + 2) * x) + (2 + 1)))
A004232: 3 7 14 23 36 49 66 83 104 129 152 181 210 239 272 309
((1 - (if x <= 0 then 0 else ((x div ((((x div 2) mod 2) + 2) + 2)) + 1))) + (x div (2 + 1)))
A035462: 1 0 0 1 0 0 1 1 0 1 1 1 1 1 2 2
((((if (x - 1) <= 0 then 1 else ((((x + 2) * x) div (2 + 2)) - 1)) + x) + x) div (2 + 1))
A234369: 0 1 1 2 4 5 7 9 11 13 16 18 21 24 27 30
((loop(\(x,i).(x - ((((x - 1) * 2) div ((x div 2) + 2)) - 1)),2,x) + x) - (2 + 1))
A245395: 0 1 2 3 5 6 7 9 11 13 15 17 19 20 22 23
((loop(\(x,i).(x - (((((x div 2) * x) div (2 + 2)) + 1) div 2)),2,x) + x) + (2 + 1))
A047747: 3 5 7 9 10 11 12 13 14 15 16 17 18 19 19 20
((loop(\(x,i).(((((x * 2) - 1) * x) div ((x + 2) + 2)) + x),2,x) + x) div (2 + 1))
A293956: 0 0 2 4 6 9 11 14 18 20
((compr(\x.((x mod (((if (x mod 2) <= 0 then (x div (2 + 2)) else 1) * 2) + 1)) - 1),x) * 2) + 1)
A190857: 1 3 5 7 9 13 15 19 21 27 29 31 37 39 43 45
(((((loop(\(x,i).((i + x) + x),(x + 2),2) div ((2 + 2) + 1)) + 1) + x) * 2) + 1)
A006188: 7 15 29 57 109 213
(loop(\(x,i).(((x - (((1 - (x * 2)) div (2 + 1)) * 2)) * (2 + 1)) + 1),x,2) + 1)
A233083: 3 14 95 662 4631 32414 226895 1588262 11117831 77824814 544773695 3813415862 26693911031 186857377214 1308001640495 9156011483462
((if x <= 0 then 1 else (((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) + x) * 2)) - 1)
A093031: 0 1 3 5 7 9 11 13 15 17 19 21 25 29 33 37
(((loop(\(x,i).i,(x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))),1) + x) * 2) + 1)
A322660: 3 5 7 9 11 13 15 17 19 21 23 25 29 31 37 41
(((loop(\(x,i).(((((x div (2 + 2)) mod 2) * 2) + x) + 1),(x - 1),1) + x) * 2) - 1)
A279106: 1 3 7 11 15 23 31 35 39 47 55 59 63 71 79 83
(((((loop(\(x,i).(((((i + 2) + 2) * i) + 2) + x),x,1) * 2) + 1) + x) * 2) - 1)
A090294: 5 35 93 187 325 515 765 1083 1477 1955 2525 3195 3973 4867 5885 7035
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),((((2 + 2) + 1) * x) + 2),1)
A013899: 441 1801088541 7355827511386641 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),((((2 + 2) + 1) * x) + 2),1)
A013903: 484 2494357888 12855002631049216 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013891: 361 893871739 2213314919066161 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((((2 + 2) + 1) * x) + 2),1)
A013907: 529 3404825447 21914624432020321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((((x * 2) * 2) * (2 + 1)) - 1)),((((2 + 2) + 1) * x) * 2),1)
A015399: 1 23775972551 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((1 - x) - (((x * 2) * 2) * (2 + 1))),((((2 + 2) + 1) * x) * 2),1)
A015402: 1 128011456717 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017286: 1 1771561 85766121 887503681 4750104241 17596287801 51520374361 128100283921 282429536481 567869252041 1061520150601 1870414552161 3138428376721 5053913144281 7858047974841 11853911588401
((loop(\(x,i).(x * x),1,(((((2 + 2) * 2) * (x + 1)) * (2 + 1)) + x)) * 2) - 1)
A154374: 1151 4801 10951 19601 30751 44401 60551 79201 100351 124001 150151 178801 209951 243601 279751 318401
((if x <= 0 then 1 else (((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) + x) * 2)) + 1)
A095737: 2 3 5 7 9 11 13 15 17 19 23 25 29 31 37 41
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017357: 16807 1419857 14348907 69343957 229345007 601692057 1350125107 2706784157 4984209207 8587340257 14025517307 21924480357 33038369407 48261724457 68641485507 95388992557
((if x <= 0 then 1 else ((((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2) + x) * 2)) + 1)
A305103-A305078: 2 3 5 7 9 11 13 17 19 21 23 25 27 29 31 37
((((((if x <= 0 then x else (2 - ((2 - x) div ((2 + 2) + 1)))) + 2) + 2) + x) * 2) - 1)
A224773: 7 13 15 19 21 23 25 27 31 33 35 37 39 43 45 47
((((x + 2) * x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A069547: 1 1 4 2 3 10 15 7 12 13 28 33 5 24 37 44
(((loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) * x) * (x + 1)) * ((x + 2) + 1))
A057666: 0 960 10800 60480 235200 725760 1905120 4435200 9408960 18532800 34354320 60540480 102211200 166333440 262180800 401863680
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x * 2)) div ((x + 2) + 1))
A099376: 0 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450
((((x mod 2) - ((x div ((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1)) mod 2)) + (x * 2)) + 1)
A339690: 1 4 5 7 9 11 13 16 17 19 20 23 25 28 29 31
((if x <= 0 then 1 else (((x mod ((((x + 1) div 2) div (2 + 1)) + 2)) div 2) + (x * 2))) + 1)
A284914: 2 3 5 7 9 12 13 15 18 19 21 24 25 27 30 32
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (i + 1)) + (x * 2)),(x * 2),1)
A054331: 1 60 1584 27456 366080 4073472 39690240 349274112 2835283968 21554790400 155194490880 1067345510400 7058711642112 45127489814528 280101660917760 1693862087098368
loop(\(x,i).(x * 2),(((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)) + (x * 2)),1)
A123854-A088802: 1 4 32 128 2048 8192 65536 262144 8388608 33554432 268435456 1073741824 17179869184 68719476736 549755813888 2199023255552
(loop(\(x,i).(((((i div 2) * 2) * 2) + 1) * x),x,1) * (((x mod 2) + (x * 2)) + 1))
A254796: 1 4 25 200 2025 24300 342225 5475600 98903025 1978060500 43616234025 1046789616600 27260146265625 763284095437500 22925783009390625 733625056300500000
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x * 2),1) * ((x * 2) + 1))
A186231: 1 15 210 3003 43758 646646 9657700 145422675 2203961430 33578000610 513791607420 7890371113950 121548660036300 1877405874732108 29065024282889672 450883717216034179
(if x <= 0 then (2 + 1) else ((((x + 2) * (x + 2)) * ((x * 2) + 1)) * ((x * 2) + 1)))
A074386: 3 81 400
(loop(\(x,i).((x div (((i + 2) * 2) + 1)) + ((x * 2) * 2)),x,1) div ((x * 2) + 1))
A339843: 1 1 3 9 29 97 336
(((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + x) + 1) mod ((x * 2) + 1))
A239233: 0 0 3 0 5 0 7 9 9 0 11 0 13 15 15 0
(((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 2 else 0) + x) + ((x * 2) + 1))
A287803: 1 6 7 10 15 16 21 22 25 30 31 34 39 40 45 46
(((if ((x mod (((x mod 2) + 2) + 2)) mod (2 + 1)) <= 0 then 1 else 2) + x) + ((x * 2) + 1))
A187690: 2 6 9 11 14 17 21 24 26 30 33 36 38 41 45 47
(((if (((x * x) mod ((x + 2) + 2)) mod (2 + 1)) <= 0 then 1 else 2) + x) + ((x * 2) + 1))
A287445: 2 6 9 12 14 18 20 24 27 29 33 36 38 42 45 48
((if x <= 0 then 2 else (((x mod ((x mod ((2 + 2) + 1)) + 2)) mod 2) + x)) + ((x * 2) + 1))
A100392: 3 5 7 11 13 17 19 23 26 29 31 34 37 41 43 47
(loop(\(x,i).(x - (((x - (((x div 2) - 1) div 2)) div 2) div 2)),2,x) + ((x * 2) + 1))
A214641: 1 4 7 10 12 14 17 20 23 25 28 30 33 36 39 41
loop(\(x,i).(x * 2),(((((x div (2 + 2)) + (x * 2)) * (2 + 1)) div 2) + (x div 2)),1)
A061549: 1 8 128 1024 32768 262144 4194304 33554432 2147483648 17179869184 274877906944 2199023255552 70368744177664 562949953421312 9007199254740992 72057594037927936
((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else 1) + ((x * 2) * 2)) + (x div 2)) + 1)
A330181: 3 7 12 16 21 25 30 34 39 43 48 52 57 61 66 69
loop(\(x,i).(((x mod 2) - (((x div ((2 + 2) + 1)) mod 2) * 2)) + 1),1,((x div 2) - 1))
A332384: 0 0 1 1 2 2 1 1 2 2 1 1 0 0 ~1 ~1
(if x <= 0 then 0 else ((((x div ((((x div 2) div (2 + 1)) * 2) + 1)) mod 2) - (x mod 2)) + 1))
A120936: 0 1 1 1 1 1 1 0 1 1 2 1 1 0 1 1
((((((if ((x div 2) - 2) <= 0 then 1 else 2) * x) div ((2 + 2) + 1)) mod 2) - (x mod 2)) + 1)
A341675: 1 0 1 0 1 1 1 0 2 1 1 0 1 1 2 0
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((2 - (x mod 2)) + 1))
A107620: 6 6 15 14 33 26 51 38 69 58 93 74 123 86 141 106
(loop(\(x,i).((((2 - (x mod 2)) * 2) * (x + 1)) - (x mod 2)),(x div 2),(x mod 2)) + 1)
A107732: 1 2 5 4 21 8 85 16 341 32 1365 64 5461 128 21845 256
(loop(\(x,i).(0 - (((((i * 2) + 1) * x) * 2) div (i + 2))),(x div 2),(x mod 2)) + 1)
A129110: 1 2 1 ~1 1 6 1 ~13 1 43 1 ~131 1 430 1 ~1429
(((if (x mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 1) * 2) else 0) + 1) * ((x mod 2) + 1))
A089129: 7 2 1 2 1 2 1 14 1 2 1 2 1 2 7 2
(if (x - 1) <= 0 then x else ((((x mod ((x div (2 + 2)) + 1)) div 2) + 1) * ((x mod 2) + 1)))
A345936: 0 1 1 2 1 2 1 2 2 2 1 4 1 2 2 4
loop(\(x,i).(((x * 2) - (((x div 2) * x) mod 2)) + 1),((x div 2) + 1),((x mod 2) + 1))
A173593: 3 5 6 11 13 22 27 45 54 91 109 182 219 365 438 731
((if ((x mod (2 + 1)) - ((((x + 1) div 2) div 2) mod 2)) <= 0 then 1 else 2) * ((x mod 2) + 1))
A088570: 1 4 2 2 1 4 1 4 2 2 2 4 1 2 2 2
(((x + 1) div (if x <= 0 then 1 else (((x div ((2 + 2) * 2)) + 2) * 2))) div ((x mod 2) + 1))
A008622: 1 0 0 0 1 0 1 1 1 0 1 1 2 1 2 1
((((((loop(\(x,i).((x * x) + 1),2,(x - 1)) div (2 + 1)) + x) + x) + x) * 2) - 1)
A055426: 1 5 13 33 89 221 485 953 1713 2869 4541 6865 9993 14093 19349 25961
(compr(\x.((x mod (((loop(\(x,i).(x * 2),x,1) - (x mod 2)) mod (x + 1)) + 1)) - 1),x) + 1)
A326533-A325396-A325362: 1 2 3 5 6 7 10 11 13 14 17 19 21 22 23 26
loop(\(x,i).(((((2 - x) * 2) mod (((2 + 2) * (2 + 1)) + 1)) * (2 + 1)) + 1),x,1)
A070422: 1 7 10 31 22 37 25 19 16 34 4 28 1 7 10 31
(compr(\x.(x mod ((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * (2 + 1)) - 1)),x) + 1)
A259236-A138141-A059043: 1 2 3 4 5 6 7 8 9 12 23 34 45 56 67 78
loop(\(x,i).(1 - (((2 + 1) * x) * (2 + 1))),((((2 + 2) * (2 + 1)) - 1) * x),1)
A015414: 1 ~28242953648 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * (2 + 1)) - (((x mod 2) - ((1 - x) mod (2 + 1))) - 1)),x,1)
A037676: 1 6 38 231 1387 8322 49934 299607 1797643 10785858 64715150 388290903 2329745419 13978472514 83870835086 503225010519
(compr(\x.((loop(\(x,i).((x * 2) + 1),x,((x div (2 + 2)) mod 2)) mod (x + 1)) - 1),x) + 1)
A193622: 1 2 3 5 7 10
A235050: 1 2 3 5 7 10 11 13 17 19 23 26 29 31 34 37
(compr(\x.((((x - 2) * 2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1),x) + 1)
A029748: 1 2 3 4 6 7 8 12 14 16 24 28 32 48 56 64
(compr(\x.(2 - (x mod (((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) * 2) + 1))),x) + 1)
A182338: 3 6 8 9 12 15 18 21 24 27 30 33 36 39 40 42
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) - (((x + 1) div (2 + 1)) mod 2)) + 1),x,1)
A265380: 1 11 111 1110 11101 111011 1110111 11101110 111011101 1110111011 11101110111 111011101110 1110111011101 11101110111011 111011101110111 1110111011101110
((loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) * (((2 + 1) * 2) + 1))) + x) + 1)
A031734: 785 3138 7059 12548 19605 28230 38423 50184 63513 78410 94875 112908 132509 153678 176415 200720
loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) * (((2 + 1) * 2) + 1)),x,1)
A156266: 1 7 98 1715 33614 705894 15529668 353299947 8243665430 196199237234 4744454282204 116239129913998 2879153833254412 71978845831360300 1813866914950279560 4611686018427387903
loop(\(x,i).(((((x * 2) * (2 + 1)) div (i + 1)) + x) * (((2 + 1) * 2) + 1)),x,1)
A053110: 1 28 588 10290 158466 2218524 28840812 353299947 4121832715 46164526408 499416240232 5243870522436 53648829191076 536488291910760 5257585260725448 50604258134482437
loop(\(x,i).((((((((x mod (2 + 2)) * 2) - 1) + x) * (2 + 1)) div 2) div 2) + 1),x,1)
A090568: 1 2 4 3 7 10 10 10 10 10 10 10 10 10 10 10
(compr(\x.((x + 1) mod ((x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) + 1)),x) + 1)
A246352: 1 2 3 4 6 8 9 10 12 14 15 16 18 20 21 24
loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) - 1)) * (((2 + 2) * 2) + 1)),x,1)
A156273: 1 9 162 3645 91854 2480058 70150212 2051893701 61556811030 1883638417518 58564030799196 1844766970174674 58748732742485772 1888352123865614100 4611686018427387903 4611686018427387903
((((if (x - ((2 + 2) * (2 + 1))) <= 0 then 0 else 2) * (((2 + 2) * 2) + 1)) + x) + 1)
A323204-A323175: 1 2 3 4 5 6 7 8 9 10 11 12 13 32 33 34
(((((((2 + 2) + 1) * 2) + (if x <= 0 then 1 else 2)) * (((2 + 2) * 2) + 1)) + x) + 1)
A134496: 100 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124
(((if (x - 1) <= 0 then x else (2 - (((1 - x) * 2) div (((2 + 2) * 2) + 1)))) + x) + 1)
A299493: 1 3 6 7 8 9 11 12 13 14 15 17 18 19 20 22
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * (((2 + 2) * 2) + 1)),x,1)
A260655: 1 18 405 10206 275562 7794468 227988189 6839645670 209293157502 6507114533244 204974107797186 6527636971387308 209816902651734900 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) div (i + 1)) + x) * (((2 + 2) * 2) + 1)),x,1)
A053112: 1 45 1485 40095 938223 19702683 379980315 6839645670 116273976390 1883638417518 29282015399598 439230230993970 6385731819835410 90312492880529370 1246312401751305306 4611686018427387903
((loop(\(x,i).(x * x),1,((((x + 1) * 2) * (2 + 1)) * ((2 + 2) + 1))) + x) + 1)
A031738: 901 3602 8103 14404 22505 32406 44107 57608 72909 90010 108911 129612 152113 176414 202515 230416
((loop(\(x,i).(x * x),1,((((2 + 2) * 2) * (x + 1)) * ((2 + 2) + 1))) + x) + 1)
A031758: 1601 6402 14403 25604 40005 57606 78407 102408 129609 160010 193611 230412 270413 313614 360015 409616
loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * ((2 + 2) + 1)),x,1)
A156275: 1 10 200 5000 140000 4200000 132000000 4290000000 143000000000 4862000000000 167960000000000 5878600000000000 208012000000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) + 1) * x) + 1))
A016867: 1 279936 19487171 268435456 1801088541 8031810176 27512614111 78364164096 194754273881 435817657216 897410677851 1727094849536 3142742836021 5455160701056 9095120158391 14645194571776
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((((2 + 2) + 1) * x) + 1))
A051945: 1 6 22 80 294 1092 4092 15444 58630 223652 856596 3292016 12688732 49031400 189885240 736808220
(if x <= 0 then 0 else (compr(\x.(1 - (x mod (1 - (x div (((2 - x) div (2 + 2)) - 1))))),x) + 1))
A079253: 0 3 5 6 7 8 10 12 14 15 16 17 18 19 20 22
loop(\(x,i).(((((2 + 1) * x) * ((2 + 2) + 1)) - (x div (2 + 1))) * (2 + 1)),x,1)
A170726-A170678-A170630-A170582-A170534-A170486-A170438-A170390-A170342-A170294-A170246-A170198-A170150-A170102-A170054-A170006-A169538-A169490-A169442-A169394-A169346-A169298-A169250-A169202-A169154-A169106-A169058-A169010-A168962-A168914-A168866-A168818-A168770-A168722-A167961-A167855-A167642-A167098-A166738: 1 45 1980 87120 3833280 168664320 7421230080 326534123520 14367501434880 632170063134720 27815482777927680 1223881242228817920 4611686018427387903 4611686018427387903 4611686018427387903
A170764: 1 45 1980 87120 3833280 168664320 7421230080 326534123520 14367501434880 632170063134720 27815482777927680 1223881242228817920 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * (2 + 1)) + 1) * x) - (x div (2 + 1))) * (2 + 1)),x,1)
A170720-A170672-A170624-A170576-A170528-A170480-A170432-A170384-A170336-A170288-A170240-A170192-A170144-A170096-A170048-A170000-A169532-A169484-A169436-A169388-A169340-A169292-A169244-A169196-A169148-A169100-A169052-A169004-A168956-A168908-A168860-A168812-A168764-A168716-A167955-A167828-A167537-A167092-A166691: 1 39 1482 56316 2140008 81320304 3090171552 117426518976 4462207721088 169563893401344 6443427949251072 244850262071540736 4611686018427387903 4611686018427387903 4611686018427387903
A170758: 1 39 1482 56316 2140008 81320304 3090171552 117426518976 4462207721088 169563893401344 6443427949251072 244850262071540736 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) * (2 + 1)) mod (x + 1)),(2 + 1),x) + 1)
A343431-A170825-A140214: 1 1 1 1 5 1 1 1 1 5 11 1 1 1 5 1
loop(\(x,i).(((((((2 + 1) * i) * (2 + 1)) - 1) * x) div (i + 1)) * (2 + 1)),x,1)
A097193: 1 12 204 3978 83538 1837836 41745132 970574319 22970258883 551286213192 13381219902024 327839887599588 8095123378420596 201221638263597672 4611686018427387903 4611686018427387903
(((((if (x - 2) <= 0 then x else (2 - ((1 - x) div (2 + 1)))) * 2) div (2 + 1)) + x) + 1)
A153351: 1 2 4 6 7 8 9 10 12 13 14 16 17 18 19 20
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) div (i + 1)) + (x * 2)) * (2 + 1)),x,1)
A036224: 1 21 336 4536 54432 598752 6158592 60046272 560431872 5043886848 44019376128 374164697088 3108445175808 25311625003008 202493000024064 1594632375189504
((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) mod 2) + ((2 + 1) * x)) + 1)
A022158: 1 5 8 10 13 17 20 22 25 29 32 34 38 41 43 46
loop(\(x,i).((((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) + x) * (2 + 1)),x,1)
A254282: 1 9 135 2430 48114 1010394 22084326 496897335 11428638705 267430145697 6345388002447 152289312058728 3690087176807640 90143558176300920 2217531531137002632 4611686018427387903
loop(\(x,i).(((((x - ((x + 1) mod ((2 + 2) + 1))) div 2) * 2) + x) + (2 + 1)),x,1)
A139763: 1 2 3 4 11 22 43 84 171 342 683 1364 2731 5462 10923 21844
(((if (x - 2) <= 0 then 0 else ((x - ((((x mod 2) - x) - 1) * (x div 2))) + 1)) + x) + 1)
A291633: 1 2 3 11 20 22
loop(\(x,i).(((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) * ((i * 2) + 1)),x,1)
A248045: 1 6 120 4200 211680 13970880 1141620480 111307996800 12614906304000 1629845894476800 236475822507724800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * x) * 2) div (i + 1)) * ((i * 2) - 1)) * ((i * 2) + 1)),x,1)
A036770: 1 3 60 3150 317520 52390800 12843230400 4382752374000 1986847742880000 1155153277710432000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) - 1)),x,1)
A089835: 1 2 24 600 23520 1270080 87816960 7420533120 742053312000 85781362867200 11260753452748800 1655330757554073600 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 1) mod ((((x div (2 + 1)) + x) div (2 + 1)) + 1)) + x) + 1),x,1)
A283808: 1 2 3 4 6 8 10 12 14 16 18 20 24 28 32 36
loop(\(x,i).((((((((i * x) div (i + 1)) + x) div (2 + 1)) + 1) div 2) + x) + 1),x,1)
A231408: 1 2 4 6 9
A171861-A164315: 1 2 4 6 9 13 18 25 34 46 62 83 111 148 197 262
loop(\(x,i).((((((x div (((x div 2) div (2 + 1)) + 2)) mod 2) + x) div 2) + x) + 1),x,1)
A054352: 1 2 4 7 11 18 28 43 65 99 150 226 340 511 768 1153
(compr(\x.(loop(\(x,i).(((((2 + 2) * 2) * 2) + x) * 2),(x + 1),0) mod (x + 1)),x) + 1)
A301587: 1 2 4 6 8 12 16 18 20 24
A305726-A177807-A124240-A068563: 1 2 4 6 8 12 16 18 20 24 32 36 40 42 48 54
(compr(\x.(loop(\(x,i).((x + 2) * 2),((x + 1) mod ((2 + 2) * 2)),0) mod (x + 1)),x) + 1)
A015929: 1 2 4 6 8 12 14 16 20 24 32 40 48 56 60 64
(compr(\x.((loop(\(x,i).(((x * x) * (2 + 1)) - 1),2,(2 + 1)) + 1) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018309: 1 2 3 4 6 12 13 26 39 52 78 156
A245481: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676
(compr(\x.((loop(\(x,i).((x + 1) * x),2,((x * 2) * (2 + 1))) + 1) mod (x + 1)),x) + 1)
A018728: 1 7 19 49 133 931
(compr(\x.(loop(\(x,i).(((2 - (x * x)) * 2) * ((2 + 2) + 1)),2,1) mod (x + 1)),x) + 1)
A018756: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245
(compr(\x.((loop(\(x,i).(x * x),(2 + 1),(((2 + 2) + 1) * 2)) - 1) mod (x + 1)),x) + 1)
A027890: 1 3 9 11 33 73 99 101 137 219 303 411 657 803 909 1111
(compr(\x.(loop(\(x,i).((x * x) * (x - 2)),2,(((2 + 1) * 2) + 1)) mod (x + 1)),x) + 1)
A108347: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105
(compr(\x.(loop(\(x,i).((0 - (((x * x) + 1) * 2)) * (x + 1)),2,1) mod (x + 1)),x) + 1)
A018717: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910
(compr(\x.(loop(\(x,i).(((((x + 2) + 1) * 2) * 2) * (x + 1)),2,1) mod (x + 1)),x) + 1)
A245809: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) - 1) * x) * (x + 1)),2,1) mod (x + 1)),x) + 1)
A018748: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966
(compr(\x.(loop(\(x,i).((i + 1) * x),(2 - (x div ((0 - 2) - 2))),1) mod (x + 1)),x) + 1)
A081000: 1 2 3 4 6 8 10 12 14 15 16 18 20 21 24 27
(compr(\x.(1 - (loop(\(x,i).(i * x),(((x div (2 + 1)) + 2) + 2),1) mod (x + 1))),x) + 1)
A286609: 7 11 13 17 19 23 26 29 31 34 37 38 41 43 46 47
(compr(\x.((loop(\(x,i).(x * x),2,((((2 + 2) * 2) * 2) * 2)) - 1) mod (x + 1)),x) + 1)
A003529: 1 3 5 11 15 25 31 33 41 55 75 93 123 155 165 205
((loop(\(x,i).(x * x),1,((((((2 + 2) * 2) * 2) * 2) - 1) * (x + 1))) + x) + 1)
A031740: 962 3846 8652 15380 24030 34602 47096 61512 77850 96110 116292 138396 162422 188370 216240 246032
(compr(\x.((loop(\(x,i).((x * x) * x),2,(((2 + 2) * 2) * 2)) - 1) mod (x + 1)),x) + 1)
A003543: 1 3 5 7 9 13 15 19 21 27 35 37 39 45 57 63
(compr(\x.(loop(\(x,i).((x + 1) * x),2,((((2 + 2) * 2) * 2) + 1)) mod (x + 1)),x) + 1)
A018384: 1 2 3 6 9 17 18 34 51 102 153 306
(compr(\x.(loop(\(x,i).((x * x) * x),2,((((2 + 2) * 2) * 2) - 1)) mod (x + 1)),x) + 1)
A056754-A003593: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405
(compr(\x.(1 - (loop(\(x,i).(i * x),((((x mod 2) + 2) + 2) + 2),1) mod (x + 1))),x) + 1)
A112588: 7 11 13 17 19 21 22 23 25 26 27 29 31 32 33 34
(compr(\x.((loop(\(x,i).(((x * x) * 2) + 1),2,((2 + 2) * 2)) - 1) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018638: 1 2 3 6 9 18 43 86 129 258 387 774
(compr(\x.((loop(\(x,i).(((x * x) * (x * x)) - 1),2,(2 + 2)) + 1) mod (x + 1)),x) + 1)
A339345-A174688-A143512: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153
(compr(\x.(loop(\(x,i).((x * x) * 2),((x mod 2) + 1),((2 + 2) + 1)) mod (x + 1)),x) + 1)
A191535-A100598: 1 2 4 5 8 10
A018332: 1 2 4 5 8 10 20 25 40 50 100 200
(compr(\x.(loop(\(x,i).(((x * x) * (x + 2)) * 2),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A277121: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35
(compr(\x.(loop(\(x,i).((i + x) * (x + 1)),(2 + 2),((2 + 2) + 1)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A003596: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256
(compr(\x.(loop(\(x,i).((x - ((2 - x) * 2)) * x),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A151715: 1 5 7 11 23 35 55 77 115 161 253 385 805 1265 1771 8855
(compr(\x.(loop(\(x,i).(((x + 2) + 1) * (x + 2)),(2 + 1),(2 + 1)) mod (x + 1)),x) + 1)
A018300: 1 2 3 6 23 46 69 138
(compr(\x.(loop(\(x,i).((((x + 2) * 2) * 2) * (2 + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018253: 1 2 3 4 6 8 12 24
A018623: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744
(compr(\x.(loop(\(x,i).((((x div 2) + x) * (x + 2)) + 1),2,(2 + 1)) mod (x + 1)),x) + 1)
A018606: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714
(compr(\x.(loop(\(x,i).(((x * x) * 2) * ((x * 2) + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A336654: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 23 24
(compr(\x.(loop(\(x,i).(((1 - x) * (x * 2)) * (x + 2)),2,(2 + 1)) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A067784: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40
(compr(\x.(loop(\(x,i).(((x * x) * x) * ((x * x) + 2)),2,(2 + 1)) mod (x + 1)),x) + 1)
A003597: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 1331
(compr(\x.(x - (loop(\(x,i).((((x + 2) * x) + 2) * x),2,(2 + 1)) mod (x + 1))),x) + 1)
A018414: 1 2 4 7 13 14 26 28 52 91 182 364
(compr(\x.((loop(\(x,i).((((2 + 2) + 1) * x) * x),2,(x * 2)) + 1) mod (x + 1)),x) + 1)
A133023: 1 3 23 29 69 87 667 2001
(compr(\x.(loop(\(x,i).((((x * x) + 2) * 2) * 2),2,((x * 2) + 1)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018532: 1 2 4 8 73 146 292 584
(compr(\x.(loop(\(x,i).(((((2 + 2) * 2) + x) + 1) * (x * x)),2,1) mod (x + 1)),x) + 1)
A133040: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475
(compr(\x.((loop(\(x,i).(((x + 2) * x) - (2 + 2)),(2 + 1),x) + 1) mod (x + 1)),x) + 1)
A018301: 1 2 4 5 7 10 14 20 28 35 70 140
(compr(\x.((loop(\(x,i).(((x - 2) * x) * ((2 + 2) + 1)),2,x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018754: 1 2 4 8 16 61 122 244 488 976
(compr(\x.((loop(\(x,i).(((x * x) * (2 + 2)) * (2 + 1)),2,x) + 1) mod (x + 1)),x) + 1)
A225227: 1 7 13
A133029: 1 7 13 19 91 133 247 1729
(compr(\x.(((loop(\(x,i).(1 - (x * x)),2,((x * 2) * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018342: 1 3 5 9 15 25 45 75 225
(compr(\x.(((loop(\(x,i).((i - x) * x),2,((x * 2) * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018458: 1 3 7 9 21 49 63 147 441
(compr(\x.(loop(\(x,i).(((x * x) div 2) * (2 + 1)),2,((2 - x) + 1)) mod (x + 1)),x) + 1)
A258023: 1 2 3 4 5 6 8 9 12 15 16 18 24 25 27 32
(compr(\x.((loop(\(x,i).((x - ((2 - x) * (2 + 2))) * x),2,x) + 1) mod (x + 1)),x) + 1)
A018622: 1 2 7 14 53 106 371 742
(compr(\x.(((loop(\(x,i).(x - ((x * x) * 2)),2,(x - 2)) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018713: 1 2 4 8 113 226 452 904
(compr(\x.(((loop(\(x,i).((x * x) * (2 + 2)),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018781-A003523: 1 3 11 31 33 93 341 1023
(compr(\x.(((loop(\(x,i).((2 - x) * (x - 2)),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018394: 1 5 13 25 65 325
(compr(\x.(((loop(\(x,i).((x * x) * (i + 2)),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018527: 1 5 23 25 115 575
(compr(\x.(((loop(\(x,i).(((x * 2) - 1) * x),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018326: 1 3 7 9 21 27 63 189
(compr(\x.((((((2 + 2) * 2) * 2) * 2) - loop(\(x,i).(x * 2),x,1)) mod (x + 1)),x) + 1)
A241071: 1 2 4 6 8 10 12
A015926: 1 2 4 6 8 10 12 16 18 24 30 31 32 36 42 48
(compr(\x.(loop(\(x,i).(((x * x) + 1) * x),1,((2 - x) * (x - 1))) mod (x + 1)),x) + 1)
A018340: 1 2 3 6 37 74 111 222
(compr(\x.(1 - (loop(\(x,i).((((i - 1) mod (2 + 2)) + 2) * x),x,1) mod (x + 1))),x) + 1)
A279622: 7 11 13 14 17 19 21 22 23 26 28 29 31 33 34 35
(compr(\x.(((loop(\(x,i).(((x * 2) - 1) * x),2,(2 - x)) * x) + 1) mod (x + 1)),x) + 1)
A018453: 1 2 7 14 31 62 217 434
(compr(\x.(loop(\(x,i).((x + 1) * x),(2 + 2),(((2 + 2) + 1) * 2)) mod (x + 1)),x) + 1)
A087006: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33
(compr(\x.((loop(\(x,i).((x + 1) * x),2,((x * 2) * (2 + 1))) + 2) mod (x + 1)),x) + 1)
A018729: 1 2 4 233 466 932
(compr(\x.(loop(\(x,i).((((x * x) + 1) * x) * 2),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018253: 1 2 3 4 6 8 12 24
A018703: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888
(compr(\x.(loop(\(x,i).((2 - ((x * x) - 1)) * (x * x)),(2 + 1),2) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A107326: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338
(compr(\x.(loop(\(x,i).((((x + 2) * x) + 1) * ((2 + 2) + 1)),2,2) mod (x + 1)),x) + 1)
A005018: 1 2 4 5 10 20
A018467: 1 2 4 5 10 20 23 46 92 115 230 460
(compr(\x.(loop(\(x,i).(((i + x) * (x + 2)) * ((2 + 2) + 1)),2,2) mod (x + 1)),x) + 1)
A005018: 1 2 4 5 10 20
A018554: 1 2 4 5 10 20 31 62 124 155 310 620
(compr(\x.(loop(\(x,i).(x * x),2,((((x * x) mod (2 + 1)) + 2) * 2)) mod (x + 1)),x) + 1)
A284698: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 64
(compr(\x.(loop(\(x,i).((x - ((x * x) * 2)) * ((x * 2) - 1)),2,2) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018582: 1 2 3 6 9 18 37 74 111 222 333 666
(compr(\x.(loop(\(x,i).((((x * x) + (2 + 2)) * 2) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A018430: 1 2 4 7 8 14 28 49 56 98 196 392
(compr(\x.(loop(\(x,i).(((((x * x) * x) + 1) * (2 + 1)) * 2),2,2) mod (x + 1)),x) + 1)
A119988-A087005: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42
(compr(\x.(loop(\(x,i).(((2 - x) + 1) * x),2,(((2 + 2) * 2) * 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018335: 1 2 4 8 13 16 26 52 104 208
(compr(\x.(loop(\(x,i).(((x * x) div 2) * x),2,(x - ((2 + 2) * 2))) mod (x + 1)),x) + 1)
A333506-A303492: 1 2 3 4 6 8 9 10 12 16 18 20 24 27 30 32
(compr(\x.(loop(\(x,i).((((2 + 1) * x) - 2) * x),((x mod 2) + 2),2) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018408: 1 2 4 8 11 16 22 32 44 88 176 352
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 1)) - x) * 2),2,(2 + 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018320: 1 2 4 8 11 16 22 44 88 176
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 2)) + 1) * x),2,(2 + 2)) mod (x + 1)),x) + 1)
A018360: 1 2 4 5 10 13 20 26 52 65 130 260
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),(((2 + 2) * (x + 1)) + x),1)
A013901: 194481 794280046581 3243919932521508681 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),(((2 + 2) * (x + 1)) + x),1)
A013893: 130321 322687697779 799006685782884121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).(((x * 2) + 1) * (x + 1)),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018737: 1 2 11 22 43 86 473 946
(compr(\x.(loop(\(x,i).((((x + 2) * x) + 2) * 2),2,((x * 2) * 2)) mod (x + 1)),x) + 1)
A018701: 1 2 4 13 17 26 34 52 68 221 442 884
(compr(\x.((loop(\(x,i).((x - 1) * x),2,(((2 + 2) + 1) * x)) + 2) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018694: 1 2 4 8 109 218 436 872
(compr(\x.((loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),2,x) + 2) mod (x + 1)),x) + 1)
A018769: 1 2 3 6 167 334 501 1002
(compr(\x.(((loop(\(x,i).((x + 1) * x),2,((x * 2) * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018308: 1 2 7 11 14 22 77 154
(compr(\x.(x - (((loop(\(x,i).((x * x) * 2),2,(x - 2)) * x) + 2) mod (x + 1))),x) + 1)
A018568: 1 3 5 15 43 129 215 645
(compr(\x.(((loop(\(x,i).((x * x) * (2 + 1)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018451: 1 2 5 10 43 86 215 430
(compr(\x.(((loop(\(x,i).((x * x) * (i + 1)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018327: 1 2 5 10 19 38 95 190
(compr(\x.(((loop(\(x,i).((x * x) * (2 + 2)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018780: 1 2 7 14 73 146 511 1022
(compr(\x.(((loop(\(x,i).((x * x) * (i + 2)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018526: 1 2 7 14 41 82 287 574
(compr(\x.(loop(\(x,i).((x - ((2 - x) * 2)) * x),2,(1 - (x * 2))) mod (x + 1)),x) + 1)
A018551: 1 3 5 15 41 123 205 615
(compr(\x.(loop(\(x,i).(2 - (x - ((x * x) * (2 + 1)))),2,(x * 2)) mod (x + 1)),x) + 1)
A018628: 1 2 13 26 29 58 377 754
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) + 1) * x) + 1),2,(x * 2)) mod (x + 1)),x) + 1)
A018720: 1 2 4 229 458 916
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) + 1) * x) - 1),2,(x * 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018593: 1 2 4 8 16 43 86 172 344 688
(compr(\x.(loop(\(x,i).(((((2 + 1) * x) - 2) * x) + 1),2,(x * 2)) mod (x + 1)),x) + 1)
A018673: 1 2 3 6 139 278 417 834
(compr(\x.(loop(\(x,i).(((((2 + 1) * x) - 2) * x) - 1),2,(x * 2)) mod (x + 1)),x) + 1)
A018567: 1 2 4 7 14 23 28 46 92 161 322 644
(compr(\x.(loop(\(x,i).((1 - ((x * 2) * 2)) * (x + 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018380: 1 2 4 8 37 74 148 296
(compr(\x.(loop(\(x,i).((((x * 2) * (x + 1)) + 1) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A018459: 1 2 13 17 26 34 221 442
(compr(\x.(loop(\(x,i).(((((x * 2) + 1) * x) + 1) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A018661: 1 2 11 22 37 74 407 814
(compr(\x.(loop(\(x,i).(((((2 + 1) * x) - 2) * x) + 2),2,(x * 2)) mod (x + 1)),x) + 1)
A018732: 1 2 7 14 67 134 469 938
(compr(\x.(loop(\(x,i).((1 - (((i * 2) + 1) * x)) * x),2,(x * 2)) mod (x + 1)),x) + 1)
A018764: 1 2 7 14 71 142 497 994
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1)) + ((x + 1) * x)) + 1)
A227161: 1 3 8 18 36 66 113 183 283 421 606 848 1158 1548 2031 2621
(loop(\(x,i).((((2 + 1) * x) + 2) * 2),2,((x + 2) * x)) + (((x + 1) * x) + 1))
A145980: 29 139 323 581 913 1319 1799 2353 2981 3683 4459 5309 6233 7231 8303 9449
(compr(\x.(loop(\(x,i).((((x * x) + 1) * 2) + 1),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018702: 1 3 5 15 59 177 295 885
(compr(\x.(x - (loop(\(x,i).(((x * x) * 2) + 1),2,((2 + 1) * x)) mod (x + 1))),x) + 1)
A018611: 1 2 4 181 362 724
(compr(\x.(loop(\(x,i).(((2 - x) * 2) * (x + 1)),2,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018674: 1 2 4 11 19 22 38 44 76 209 418 836
(compr(\x.(loop(\(x,i).((((i + x) * x) + 2) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018549: 1 2 5 10 61 122 305 610
(compr(\x.(loop(\(x,i).((((x - i) * x) + 2) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A133035: 1 2 5 10 181 362 905 1810
(compr(\x.(loop(\(x,i).((((i * x) - 1) * x) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018739: 1 2 5 10 19 25 38 50 95 190 475 950
(compr(\x.(loop(\(x,i).((((x + 2) + 2) * x) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A018667: 1 3 5 11 15 25 33 55 75 165 275 825
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 2)) - 1) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018750: 1 3 17 19 51 57 323 969
(compr(\x.(loop(\(x,i).((((x * x) - 2) * (2 + 1)) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018604: 1 3 9 79 237 711
(compr(\x.(loop(\(x,i).((((x * x) - (2 + 1)) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018679: 1 2 3 6 9 18 47 94 141 282 423 846
(compr(\x.(loop(\(x,i).(((((x * x) * 2) - 1) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018448: 1 2 3 6 71 142 213 426
(compr(\x.(loop(\(x,i).(((((x + 1) * x) + 2) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018738: 1 2 3 4 6 12 79 158 237 316 474 948
(compr(\x.(loop(\(x,i).(((2 + 2) * (x - 1)) * ((x * 2) + 1)),2,x) mod (x + 1)),x) + 1)
A018476: 1 2 4 7 14 17 28 34 68 119 238 476
(compr(\x.(loop(\(x,i).((((2 + 1) * x) - 1) * ((x * 2) - 1)),2,x) mod (x + 1)),x) + 1)
A018656: 1 5 7 23 35 115 161 805
(compr(\x.(loop(\(x,i).(((1 - x) - (x * 2)) * ((x * 2) - 1)),2,x) mod (x + 1)),x) + 1)
A018724: 1 5 25 37 185 925
(compr(\x.(loop(\(x,i).((((i * 2) + 1) * x) * ((x * 2) - 1)),2,x) mod (x + 1)),x) + 1)
A018634: 1 3 5 9 15 17 45 51 85 153 255 765
(compr(\x.(loop(\(x,i).((2 - (x - ((x * x) * (2 + 1)))) * 2),2,x) mod (x + 1)),x) + 1)
A018677: 1 2 4 211 422 844
(compr(\x.(loop(\(x,i).((((((x * 2) * 2) + 1) * x) + 1) * 2),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018503: 1 2 5 10 53 106 265 530
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 1)) + (i + 1)) * 2),2,x) mod (x + 1)),x) + 1)
A018546: 1 2 3 6 101 202 303 606
(compr(\x.(loop(\(x,i).(((((x * x) * (2 + 1)) - 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018633: 1 2 4 191 382 764
(compr(\x.(loop(\(x,i).((((((x + 2) * x) * 2) - 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018742: 1 2 4 239 478 956
(compr(\x.(loop(\(x,i).((((((x * x) * 2) - 1) * 2) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018777: 1 2 4 8 127 254 508 1016
(compr(\x.(loop(\(x,i).(x - (((x - ((x * x) * 2)) * 2) * 2)),2,x) mod (x + 1)),x) + 1)
A018730: 1 5 11 17 55 85 187 935
(compr(\x.(loop(\(x,i).(((((x + 2) * x) div 2) * (x - 2)) div 2),2,x) mod (x + 1)),x) + 1)
A018313: 1 3 5 11 15 33 55 165
(compr(\x.(loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * x) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018575: 1 2 4 8 16 41 82 164 328 656
(compr(\x.(loop(\(x,i).(((1 - (x * 2)) * (2 + 1)) * (x + 2)),2,x) mod (x + 1)),x) + 1)
A018520: 1 3 11 17 33 51 187 561
(compr(\x.(loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) - 1) * x),2,x) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018704: 1 2 5 10 89 178 445 890
(compr(\x.(loop(\(x,i).(((((i + 2) * x) * (2 + 1)) + 1) * x),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018640: 1 2 4 8 97 194 388 776
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) * (i + 1)) + 1) * x),2,x) mod (x + 1)),x) + 1)
A018538: 1 5 7 17 35 85 119 595
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) * (i + 1)) - 1) * x),2,x) mod (x + 1)),x) + 1)
A018746: 1 3 9 107 321 963
(compr(\x.(loop(\(x,i).((((((x + 2) * 2) * 2) * 2) + 1) * x),2,x) mod (x + 1)),x) + 1)
A018486: 1 3 5 9 11 15 33 45 55 99 165 495
(compr(\x.(loop(\(x,i).((((x * x) * 2) * ((2 + 2) + 1)) + x),2,x) mod (x + 1)),x) + 1)
A018663: 1 3 7 9 13 21 39 63 91 117 273 819
(compr(\x.(loop(\(x,i).((i - (((1 - x) * 2) * (2 + 1))) * x),2,x) mod (x + 1)),x) + 1)
A018590: 1 2 11 22 31 62 341 682
(compr(\x.(loop(\(x,i).((((((i * 2) + 1) * x) * 2) - 1) * x),2,x) mod (x + 1)),x) + 1)
A018479: 1 3 7 21 23 69 161 483
(compr(\x.(loop(\(x,i).((((((2 + 1) * i) + 2) * x) - 1) * x),2,x) mod (x + 1)),x) + 1)
A018372: 1 2 3 6 47 94 141 282
(compr(\x.(loop(\(x,i).((((((2 + 2) + 1) * i) * x) - 1) * x),2,x) mod (x + 1)),x) + 1)
A018409: 1 2 3 6 59 118 177 354
(compr(\x.(loop(\(x,i).((1 - (((x * 2) * 2) * (i + 1))) * x),2,x) mod (x + 1)),x) + 1)
A018757: 1 3 9 109 327 981
(compr(\x.(loop(\(x,i).((x - ((((x * 2) * 2) - 1) * 2)) * x),2,x) mod (x + 1)),x) + 1)
A018533: 1 3 5 9 13 15 39 45 65 117 195 585
(compr(\x.(loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + 2) * x),2,x) mod (x + 1)),x) + 1)
A018464: 1 5 7 13 35 65 91 455
(compr(\x.(loop(\(x,i).(((((x div 2) + (x * 2)) * 2) * 2) * x),2,x) mod (x + 1)),x) + 1)
A068383: 1 2 4 5 6 8 10 12 16 18 20 24 25 30 32 36
(compr(\x.(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * (2 - x)),2,x) mod (x + 1)),x) + 1)
A018668: 1 2 7 14 59 118 413 826
(compr(\x.(loop(\(x,i).((0 - (((x + 2) + 2) * (x + 2))) * x),2,x) mod (x + 1)),x) + 1)
A018286: 1 3 5 7 15 21 35 105
(compr(\x.(loop(\(x,i).(((((i + 2) * (2 + 1)) - 1) * x) * x),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018600: 1 2 4 8 11 16 22 32 44 64 88 176 352 704
(compr(\x.(loop(\(x,i).(((((2 + 2) * (i + 1)) - 1) * x) * x),2,x) mod (x + 1)),x) + 1)
A018508: 1 7 11 49 77 539
(compr(\x.(loop(\(x,i).((((((i + 2) + 1) * 2) + 1) * x) * x),2,x) mod (x + 1)),x) + 1)
A018705: 1 3 9 11 27 33 81 99 297 891
(compr(\x.(loop(\(x,i).((2 - ((((i + 1) * 2) + 1) * x)) * x),2,x) mod (x + 1)),x) + 1)
A018411: 1 3 7 17 21 51 119 357
(compr(\x.(loop(\(x,i).(((2 + 2) - (((i + 2) + 2) * x)) * x),2,x) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018499: 1 2 3 6 9 18 29 58 87 174 261 522
(compr(\x.(((loop(\(x,i).(((x * x) * (2 + 2)) * 2),2,x) * x) + x) mod (x + 1)),x) + 1)
A018495: 1 3 9 19 27 57 171 513
(((x div 2) + 1) - ((x div ((((x + 2) + 2) * (2 + 1)) div (if x <= 0 then 1 else x))) + 1))
A332656-A240708-A002375: 0 0 1 1 2 1 2 2 2 2 3 3 3 2 3 2
(((if (x - 1) <= 0 then 1 else (((((x div 2) * 2) div ((2 + 2) + 1)) + 1) * 2)) + x) + 1)
A080220: 2 3 5 6 7 8 11 12 13 14 17 18 19 20 21 22
loop(\(x,i).((((2 + 2) + 1) * x) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2)),x,1)
A070391: 1 5 25 33 27 43 31 17 39 11 9 45 41 21 13 19
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) mod ((((2 + 2) * (2 + 1)) + 1) * 2)),x,1)
A070411: 1 7 23 5 9 11 25 19 3 21 17 15 1 7 23 5
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) mod ((((2 + 2) * (2 + 1)) - 1) * 2)),x,1)
A070408: 1 7 5 13 3 21 15 17 9 19 1 7 5 13 3 21
(((if x <= 0 then 1 else (x - ((((x * x) * 2) div (((x + 2) + 2) + 1)) mod 2))) + x) + 1)
A171781: 2 3 4 7 8 10 13 15 16 18 20 22 25 27 29 31
((((((x div (((2 + 1) * 2) + 1)) + (if x <= 0 then 0 else 1)) * (2 + 1)) div 2) + x) + 1)
A332416: 1 3 4 5 6 7 8 11 12 13 14 15 16 17 19 20
((((((if ((x div 2) - 2) <= 0 then x else ((x + 2) + 2)) + 1) div (2 + 1)) * 2) + x) + 1)
A284393: 1 2 5 6 7 10 13 16 17 18 21 22 23 26 27 28
((((((((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2) + x) div (2 + 1)) * 2) + x) + 1)
A003156: 1 4 5 6 9 12 15 16 17 20 21 22 25 26 27 30
((((((loop(\(x,i).((((i mod 2) + 2) * i) + x),x,1) + x) div 2) + 1) div 2) + x) + 1)
A213685: 1 3 6 9 12 17 22 28 33 41 48 57 64
((((x * 2) * 2) div (((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) + 2) + x)) + 1)
A137467: 1 2 3 2 3 3 4
A078627: 1 2 3 2 3 3 4 2 3 3 4 3 4 4 3 2
(((if (x - 1) <= 0 then 1 else ((((2 + 2) * 2) * (2 + 1)) + ((x + 1) div 2))) + x) + 1)
A104313: 2 3 28 30 31
loop(\(x,i).((((2 + 2) + 1) * x) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2)),x,1)
A070390: 1 5 25 37 9 1 5 25 37 9 1 5 25 37 9 1
(((((((((if (x - 2) <= 0 then 1 else x) * x) div (2 + 1)) + x) + 1) div 2) div 2) + x) + 1)
A127721: 1 2 3 5 7 9 11 14 16 19 22 25 28 31 35 38
((((loop(\(x,i).(x * x),1,(((((2 + 2) * 2) * 2) + x) + 1)) div 2) div 2) - x) - 1)
A159025: 71 79 87 96 105 115 125 136 147 159 171 184 197 211 225 240
(((((((if ((x div 2) - 2) <= 0 then x else ((2 + 1) * 2)) + 2) * 2) * 2) * 2) + x) + 1)
A171169: 17 26 35 44 53 62 71 72 73 74 75 76 77 78 79 80
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0) * ((((2 + 2) * 2) + x) + 1))
A091692: 0 10 121 1332 14443 155554 1666665 17777776 188888887 1999999998 21111111109 222222222220 2333333333331 24444444444442 255555555555553 2666666666666664
(((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) + (x div (2 + 2))) * 2) + x) + 1)
A064368: 1 4 7 10 15 18 21 24 29 36 39 42 47 50 53 56
(compr(\x.((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) - (x mod (2 + 2))) - 2),x) + 1)
A323383: 1 2 3 4 6 8 12
A036451: 1 2 3 4 6 8 12 16 20 24 32 40 48 64 80 96
((((if (((x div 2) + x) mod (2 + 2)) <= 0 then 1 else 2) + (((x * 2) * 2) * 2)) + x) + 1)
A304813: 2 12 21 29 39 48 57 66 74 84 93 101 111 120 129 138
((((((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x) + ((x div 2) mod 2)) div 2) + x) + 1)
A286908: 1 3 5 6 7 9 11 12 13 15 17 19 20 21 23 25
loop(\(x,i).((((x * 2) + 1) mod ((2 + 2) + 1)) + ((((2 + 2) + 1) * x) * 2)),x,1)
A037715: 1 13 132 1320 13201 132013 1320132 13201320 132013201 1320132013 13201320132 132013201320 1320132013201 13201320132013 132013201320132 1320132013201320
loop(\(x,i).(((1 - ((i mod 2) * 2)) * (i + 1)) + ((((2 + 2) + 1) * x) * 2)),x,1)
A179980: 1 8 83 826 8265 82644 826447 8264462 82644629 826446280 8264462811 82644628098 826446280993 8264462809916 82644628099175 826446280991734
((x - ((((2 + 2) + 1) * x) * 2)) mod loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A160154: 0 1 82 973 9964 99955 999946 9999937 99999928 999999919 9999999910 99999999901 999999999892 9999999999883 99999999999874 999999999999865
loop(\(x,i).(((((((x div 2) div (2 + 1)) + x) * (i + 1)) div (x + 1)) + x) + 2),x,1)
A131937: 1 4 8 14 21 29 38 49 61 74 88 103 120 138 157 177
(if x <= 0 then 2 else (((((((x - 1) mod ((x div (2 + 2)) + 1)) div 2) + x) div 2) + x) + 1))
A120326: 2 2 4 5 7 8 10 11 13 15 16 17 19 20 22 24
loop(\(x,i).((((x + 2) div ((x div ((2 - ((x div 2) mod 2)) + 2)) + 2)) + x) + 2),x,1)
A311288: 1 4 8 12 16 21 26 30 34 38 42 46 50 54 58 62
(loop(\(x,i).((((x + 1) * 2) - (x div (i + 1))) * 2),x,0) mod (((x + 2) * x) + 1))
A246132: 0 0 0 4 0 22 0 4 18 54 0 122 0 102 43 68
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) mod (((x + 2) * x) + 1))
A099906: 0 3 1 3 1 30 1 35 10 78 1 62 1 52 135 35
((loop(\(x,i).(((i + 2) + 2) * x),x,(x + 1)) * (x + 1)) * (((x + 2) * x) + 1))
A154307: 1 80 2430 53760 1050000 19595520 363031200 6812467200 130947062400 2594592000000 53182390060800 1129830653952000 24898991749632000 569337009905664000 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,2) * (((x + 2) * x) + 1))
A253487: 2 16 90 448 2100 9504 42042 183040 787644 3359200 14226212 59907456 251100200 1048380480 4362680250 18103127040
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),(x + 2)) * (((x + 2) * x) + 1))
A129007: 14 588 12348 192080 2521050 29647548 322828856 3320525376 32686421670 310722773900 2871078430836 25910889640272 229239398622962 1993975834176060 17091221435794800 144629713838903552
loop(\(x,i).(((((x - ((2 - x) div (2 + 2))) * 2) * (2 + 1)) + 1) - (x div 2)),x,1)
A037593: 1 7 52 365 2555 17888 125217 876519 6135636 42949453 300646171 2104523200 14731662401 103121636807 721851457652 5052960203565
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) + ((i + 1) mod (2 + 1))) + (x mod 2)),x,1)
A037600: 1 10 70 491 3440 24080 168561 1179930 8259510 57816571 404716000 2833012000 19831084001 138817588010 971723116070 6802061812491
(((if ((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) - 1) <= 0 then x else 0) + 1) * (x + 1))
A304233: 1 4 9 16 25 6 49 64 81 10 121 12 169 14 15 256
((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + (if x <= 0 then 0 else 1)) * (x + 1))
A328260: 0 2 3 4 5 12 7 8 9 20 11 24 13 28 30 16
(loop(\(x,i).(i * x),((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1),1) mod (x + 1))
A157279: 0 1 1 2 2 2 2 2 6 6 6 6 6 6 6 8
(((((x div 2) - 2) mod ((if (x mod 2) <= 0 then (x div (2 + 2)) else 1) + 1)) + 1) mod (x + 1))
A320838: 0 1 1 2 1 1 2 2 3 1 1 2 1 1 2 2
((if (x mod 2) <= 0 then ((((2 - x) mod ((x div (2 + 2)) + 1)) * 2) + 1) else 1) * (x + 1))
A141709: 1 2 3 4 5 6 7 8 9 10 33 12 65 14 15 16
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * 2) + 1)) + 1) div (x + 1))
A061772: 10 45 300 2250 18000 150000 1285714 11250000 100000000 900000000 8181818181 75000000000 692307692307 6428571428571 60000000000000 562500000000000
compr(\x.(loop(\(x,i).(x * x),1,((x mod (2 + 1)) - (x mod ((2 + 2) + 1)))) - 1),(x + 1))
A287791: 1 2 6 7 8 10 11 15 16 17 21 22 23 25 26 30
((((((loop(\(x,i).(x * 2),x,1) div 2) + 1) div (x + 2)) * (2 + 1)) + 1) div (x + 1))
A221840: 1 0 0 1 0 1 1 2 4 7
((((if (((x div 2) * x) mod (2 + 2)) <= 0 then 1 else 0) * ((x mod 2) + 1)) + 1) mod (x + 1))
A285718: 0 1 1 1 2 1 1 1 2 3 1 1 2 1 1 1
((((loop(\(x,i).((x * x) - 1),2,((2 + 1) * 2)) + 1) * (x + 1)) + 1) * (x + 1))
A031748: 1226 4902 11028 19604 30630 44106 60032 78408 99234 122510 148236 176412 207038 240114 275640 313616
((((loop(\(x,i).((i + x) * x),2,((2 + 1) * 2)) + 1) * (x + 1)) + 1) * (x + 1))
A031764: 1850 7398 16644 29588 46230 66570 90608 118344 149778 184910 223740 266268 312494 362418 416040 473360
((((loop(\(x,i).((x - 2) * x),2,((2 + 2) * 2)) + 1) * (x + 1)) + 1) * (x + 1))
A031772: 2210 8838 19884 35348 55230 79530 108248 141384 178938 220910 267300 318108 373334 432978 497040 565520
(((loop(\(x,i).((i + x) * (x + 2)),2,((2 + 2) + 1)) * (x + 1)) + 1) * (x + 1))
A031766: 1937 7746 17427 30980 48405 69702 94871 123912 156825 193610 234267 278796 327197 379470 435615 495632
(((loop(\(x,i).(((x + 2) * x) + 1),2,((2 + 1) * 2)) * (x + 1)) + 1) * (x + 1))
A031778: 2501 10002 22503 40004 62505 90006 122507 160008 202509 250010 302511 360012 422513 490014 562515 640016
(((x - (loop(\(x,i).((i - x) * x),2,((2 + 1) * 2)) * (x + 1))) - 1) * (x + 1))
A158410: 959 3840 8643 15368 24015 34584 47075 61488 77823 96080 116259 138360 162383 188328 216195 245984
(((x - (loop(\(x,i).(1 - ((x * x) * (2 + 2))),2,2) * (x + 1))) - 1) * (x + 1))
A158408: 898 3596 8094 14392 22490 32388 44086 57584 72882 89980 108878 129576 152074 176372 202470 230368
(((x - (loop(\(x,i).((0 - x) * (x + 2)),2,(2 + 2)) * (x + 1))) - 1) * (x + 1))
A158364: 527 2112 4755 8456 13215 19032 25907 33840 42831 52880 63987 76152 89375 103656 118995 135392
compr(\x.((loop(\(x,i).((x + 1) * 2),x,(1 - ((x mod 2) * 2))) mod (x + 1)) - 1),(x + 1))
A091529: 1 2 4 5 6 8 9 10 12 13 16 18 21 22 25 28
(loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 2)),(x + 1),1) * (x + 1))
A085687: 1 6 36 224 1440 9504 64064 439296 3055104 21498880 152807424 1095450624 7911587840 57511157760 420459724800 3089600348160
(loop(\(x,i).(((x - (((x div 2) + x) div (2 + 2))) * 2) + 1),(x - 1),1) div (x + 1))
A173244: 1 0 1 1 1 2 2 3 3 4 5 5 7 8 9 11
compr(\x.(x mod (((x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) div 2) + 1)),(x + 1))
A184861: 1 2 3 5 6 8 9 10 11 12 15 16 18 20 21 22
compr(\x.(x mod (((x div ((if (x mod 2) <= 0 then (2 + 2) else 1) * (2 + 1))) * 2) + 1)),(x + 1))
A275581: 1 2 3 4 6 8 10 12 18 30
(((((loop(\(x,i).(x * 2),((x - 1) div 2),x) + 1) div (2 + 1)) * 2) + 1) div (x + 1))
A322112: 1 0 1 1 1 2 2 4 4 9 9
compr(\x.(x mod ((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else ((2 + 1) * 2)) + 1)),(x + 1))
A305214: 7 9 14 18 21 27 28 35 36 42 45 49 54 56 63 70
(loop(\(x,i).(x * 2),(0 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))),1) * (x + 1))
A131959: 1 2 3 8
A097053: 1 2 3 8 10 12 14 32 36 40 44 48 52 56 60 128
(1 - ((if (((x - 1) * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 2 else 1) mod (x + 1)))
A143434: 1 1 0 ~1 0 0 ~1 0 0 0 ~1 0 0 0 0 ~1
((((if x <= 0 then 1 else (((x * x) div (2 + 2)) + ((x * 2) * 2))) * 2) - 1) div (x + 1))
A079058: 1 3 5 6 7 8 9 9 10 11 11 12 12 13 13 14
((if (x mod (2 + 1)) <= 0 then 1 else (((x * 2) * (2 + 1)) * ((2 + 2) + 1))) div (x + 1))
A171808: 1 15 20 0 24
((loop(\(x,i).(((x + 2) * x) * 2),2,((x * 2) + 1)) * ((2 + 2) + 1)) div (x + 1))
A331768: 480 4800 16800 40320 79200
(((loop(\(x,i).(((i + 2) + 2) * x),(2 + 2),(x + 1)) + x) + (2 + 1)) * (x + 1))
A031719: 1683 6728 15135 26904 42035 60528 82383 107600 136179 168120 203423 242088 284115 329504 378255 430368
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div ((i div 2) + 1)),(x * 2),1) * (x + 1))
A000897: 1 12 420 18480 900900 46558512 2498640144 137680171200 7735904619300 441233078286000 25467973278667920 1484298740174927040 4611686018427387903 4611686018427387903 4611686018427387903
(((((if (x mod 2) <= 0 then x else 1) + x) div ((2 + 2) + 1)) * ((x mod 2) + 1)) + (x + 1))
A298866: 1 2 3 4 6 8 9 10 12 14 15 16 17 18 20 22
(loop(\(x,i).((x - (x div (((0 - 2) - 2) - 1))) + (i div (2 + 1))),x,1) - (x + 1))
A317910: 0 0 0 1 2 4 7 11 16 23 32 43 57 74 95 121
((((loop(\(x,i).(((i + x) * x) + 2),2,(2 + 2)) * (x + 1)) - x) + 1) * (x + 1))
A158367-A031701: 531 2120 4767 8472 13235 19056 25935 33872 42867 52920 64031 76200 89427 103712 119055 135456
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1) div (x + 1)) * (x + 1))
A066557: 9 98 999 9996 99995 999996 9999997 99999992 999999999 9999999990 99999999990 999999999996 9999999999990 99999999999998 999999999999990 9999999999999984
((loop(\(x,i).(((x * 2) + 1) * ((x + 2) + 1)),(2 + 2),2) mod (x + 1)) + (x + 1))
A057723: 1 2 3 6 5 6 7 14 12 10 11 18 13 14 15 30
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * (2 + 1)),(x - 1),(x + 1))
A099044: 1 2 18 180 1890 20412 224532 2501928 28146690 318995820 3636552348 41655054168 479033122932 5527305264600 63958818061800 741922289516880
loop(\(x,i).(((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2) * 2),(x - 1),(x + 1))
A099045: 1 2 24 320 4480 64512 946176 14057472 210862080 3186360320 48432676864 739699064832 11342052327424 174493112729600 2692179453542400 41639042214789120
(((loop(\(x,i).((((x mod 2) + (x * 2)) * 2) + x),(x + 1),x) * x) + 1) mod (x + 1))
A341409: 0 0 0 2 1 2 6 2 0 4 6 2 6 0 6 2
((((((if x <= 0 then 1 else (((2 + 2) * 2) * 2)) + 2) * (2 + 1)) - 1) * 2) * (x + 1))
A009440: 16 212 318 424 530 636 742 848 954 1060 1166 1272 1378 1484 1590 1696
((((loop(\(x,i).(((i + x) * i) * (x + 2)),2,2) * (x + 1)) - 1) * 2) * (x + 1))
A158398: 782 3132 7050 12536 19590 28212 38402 50160 63486 78380 94842 112872 132470 153636 176370 200672
(((((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) div 2) div 2) + 1) + 2) div (x + 1))
A285000: 3 1 1 1 0 0 0 1 1 1 1 2 2 3 4 6
(loop(\(x,i).(((((2 + 2) + 1) * x) div (i + 1)) + x),x,((2 + 1) * 2)) mod (x + 1))
A133625: 0 1 2 2 2 0 1 7 4 3 1 8 1 8 9 13
((((loop(\(x,i).((i + x) * x),2,((2 + 2) + 1)) + 1) * (x + 1)) + 2) * (x + 1))
A158413-A031709: 963 3848 8655 15384 24035 34608 47103 61520 77859 96120 116303 138408 162435 188384 216255 246048
((((loop(\(x,i).((i + 2) * x),((2 + 2) + 1),2) + 1) * (x + 1)) + 2) * (x + 1))
A031749: 5043 20168 45375 80664 126035 181488 247023 322640 408339 504120 609983 725928 851955 988064 1134255 1290528
((((loop(\(x,i).((x * x) - 1),2,((2 + 1) * 2)) + 1) * (x + 1)) + 2) * (x + 1))
A031713: 1227 4904 11031 19608 30635 44112 60039 78416 99243 122520 148247 176424 207051 240128 275655 313632
((((loop(\(x,i).((i + x) * x),2,((2 + 1) * 2)) + 1) * (x + 1)) + 2) * (x + 1))
A031721: 1851 7400 16647 29592 46235 66576 90615 118352 149787 184920 223751 266280 312507 362432 416055 473376
((((loop(\(x,i).((x - i) * x),2,((2 + 1) * 2)) + 1) * (x + 1)) + 2) * (x + 1))
A158403-A031707: 843 3368 7575 13464 21035 30288 41223 53840 68139 84120 101783 121128 142155 164864 189255 215328
((((loop(\(x,i).(((x * x) * (2 + 2)) - 1),2,2) + 1) * (x + 1)) + 2) * (x + 1))
A158406: 902 3604 8106 14408 22510 32412 44114 57616 72918 90020 108922 129624 152126 176428 202530 230432
((((loop(\(x,i).((x - 2) * x),2,((2 + 2) * 2)) + 1) * (x + 1)) + 2) * (x + 1))
A031725: 2211 8840 19887 35352 55235 79536 108255 141392 178947 220920 267311 318120 373347 432992 497055 565536
((((loop(\(x,i).((i + x) * x),2,((2 + 2) * 2)) + 1) * (x + 1)) + 2) * (x + 1))
A031751: 5331 21320 47967 85272 133235 191856 261135 341072 431667 532920 644831 767400 900627 1044512 1199055 1364256
((((loop(\(x,i).((x - i) * x),2,((2 + 2) * 2)) + 1) * (x + 1)) + 2) * (x + 1))
A031733: 3027 12104 27231 48408 75635 108912 148239 193616 245043 302520 366047 435624 511251 592928 680655 774432
(((loop(\(x,i).(((x + 2) * x) + 1),2,((2 + 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031715: 1371 5480 12327 21912 34235 49296 67095 87632 110907 136920 165671 197160 231387 268352 308055 350496
(((loop(\(x,i).((x + 2) * (x + 2)),2,((2 + 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031729: 2603 10408 23415 41624 65035 93648 127463 166480 210699 260120 314743 374568 439595 509824 585255 665888
(((loop(\(x,i).(((x * x) * (x + 2)) * (x + 2)),2,1) * (x + 1)) + 2) * (x + 1))
A031777: 9803 39208 88215 156824 245035 352848 480263 627280 793899 980120 1185943 1411368 1656395 1921024 2205255 2509088
(((loop(\(x,i).(x * x),2,(((2 + 2) + 1) * (x + 1))) * (x + 1)) * 2) * (x + 1))
A106322: 1250 80000 911250
(((loop(\(x,i).(((i mod 2) + x) * (x + 1)),(2 + 1),2) * (x + 1)) + 2) * (x + 1))
A031769: 8283 33128 74535 132504 207035 298128 405783 530000 670779 828120 1002023 1192488 1399515 1623104 1863255 2119968
(((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - (x + 1)) * 2) * (x + 1))
A032260: 2 16 102 528 2470 11016 47950 205792 874998 3694920 15519262 64899456 270415262 1123264408 4653525150 19234571968
(((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2)) * (x + 1))
A131959: 1 2 3 8
A102631: 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128
(((((loop(\(x,i).((x - (x div (2 + 1))) * 2),x,1) div 2) + 1) div 2) * 2) div (x + 1))
A117357: 0 1 0 1 0 1 1 1 1 2 2 3 3 4 5 7
((if (x - 1) <= 0 then 1 else ((x - (((x div (2 + 2)) * (2 + 1)) div 2)) * 2)) mod (x + 1))
A330960-A327189: 0 1 1 2 1 2 3 4 1 2 3 4 3 4 5 6
(((loop(\(x,i).(x * x),1,((((x * x) * (x + 1)) div 2) + 2)) div 2) div 2) mod (x + 1))
A239871: 0 0 1 0 1 0 1 1 1 2 1 4 1 6 1 9
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(2 - (((2 + 2) * 2) * (x + 1))))
A017142: 46656 7529536 113379904 729000000 3010936384 9474296896 24794911296 56800235584 117649000000 225199600704 404567235136 689869781056 1126162419264 1771561000000 2699554153024
((loop(\(x,i).(x * 2),(x - (x div ((x mod 2) + 1))),1) mod ((x + 2) * 2)) div (x + 1))
A158971: 1 1 0 1 0 1 0 2 0 1 0 1 0 0 0 1
(((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 2) + ((x mod 2) * 2)) * (x + 1))
A340512: 1 6 6 12 10 24 14 24 18 40 22 48 26 56 30 48
(((((x mod (((if (x mod 2) <= 0 then 2 else x) * (2 + 2)) + 1)) + 1) * x) div 2) mod (x + 1))
A096234: 0 1 0 2 0 3 0 4 0 5 10 6 11 7 12 8
(loop(\(x,i).(((2 + 2) + 1) * x),((x + 2) * (x + 1)),1) - ((x + 2) * (x + 1)))
A273940: 23 15619 244140613
((((if ((((x div 2) + 1) div 2) mod (2 + 1)) <= 0 then 2 else 0) + 1) - (x mod 2)) mod (x + 1))
A344220: 0 0 1 0 1 0 1 0 1 0 3 2 3 2 1 0
((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) mod (x + 1))
A322382: 0 1 1 3 1 3 1 7 4 3 1 7 1 3 4 15
compr(\x.((x mod ((x div (2 + 1)) + 1)) - (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x)),(x + 1))
A307360: 1 2 3 4 5 6 7 9 11 13 17 19 23 25 29 31
loop(\(x,i).(((((((x * 2) * 2) * 2) div (i + 1)) + x) * 2) * (2 + 1)),x,(x + 1))
A173123: 1 60 1980 47520 926640 15567552 233513280 3202467840 40831464960 489977579520 5585744406528 60935393525760 639821632020480 6496650417438720 64038411257610240 614768748073058304
(loop(\(x,i).(((x div 2) div (((2 + 1) * 2) + 1)) + x),2,((2 + 1) * x)) + (x + 1))
A314692: 1 5 9 13 17 23 27 31 35 40 45 49 53 57 63 67
(((loop(\(x,i).(((i + x) * x) + 2),2,((2 + 1) * 2)) * (x + 1)) - x) * (x + 1))
A156856-A031768: 2026 8102 18228 32404 50630 72906 99232 129608 164034 202510 245036 291612 342238 396914 455640 518416
(((loop(\(x,i).(((x + 2) * (x + 2)) + 1),2,(2 + 2)) * (x + 1)) - x) * (x + 1))
A031756: 1522 6086 13692 24340 38030 54762 74536 97352 123210 152110 184052 219036 257062 298130 342240 389392
(((loop(\(x,i).(((i + x) + 2) * (x + 2)),2,(2 + 2)) * (x + 1)) + x) * (x + 1))
A156855: 2024 8098 18222 32396 50620 72894 99218 129592 164016 202490 245014 291588 342212 396886 455610 518384
compr(\x.loop(\(x,i).((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) * (x + 1)),2,x),(x + 1))
A096868: 1 2 3 4 5 6 7 8 9 10 12 14 15 20 25 30
((loop(\(x,i).(x * x),1,((((((2 + 2) + 1) * 2) * 2) - x) * 2)) + x) + (x + 1))
A279241: 1601 1447 1301 1163 1033 911 797 691 593 503 421 347 281 223 173 131
(((((2 + 2) * 2) * 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A059164: 16 32 16 64 16 32 16 128 16 32 16 64 16 32 16 256
((((loop(\(x,i).(x * x),2,(((x - 1) * x) div 2)) * (x * x)) div 2) * x) + (x + 1))
A056165: 1 2 7 1096
loop(\(x,i).(((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) div (i + 1)) - x),x,(x + 1))
A010944: 1 28 378 3276 20475 98280 376740 1184040 3108105 6906900 13123110 21474180 30421755 37442160 40116600 37442160
loop(\(x,i).((((((x * 2) * 2) * 2) * ((2 + 2) + 1)) div (i + 1)) + x),x,(x + 1))
A010994: 1 42 903 13244 148995 1370754 10737573 73629072 450978066 2505433700 12777711870 60403728840 266783135710 1108176102180 4353548972850 16253249498640
loop(\(x,i).((((((x * 2) * 2) * (2 + 1)) * (2 + 1)) div (i + 1)) + x),x,(x + 1))
A010990: 1 38 741 9880 101270 850668 6096454 38320568 215553195 1101716330 5178066751 22595200368 92263734836 354860518600 1292706174900 4481381406320
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * (2 + 1)) div (i + 1)) - x),x,(x + 1))
A010962: 1 46 1035 15180 163185 1370754 9366819 53524680 260932815 1101716330 4076350421 13340783196 38910617655 101766230790 239877544005 511738760544
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * (2 + 2)) div (i + 1)) + x),x,(x + 1))
A010982: 1 30 465 4960 40920 278256 1623160 8347680 38608020 163011640 635745396 2311801440 7898654920 25518731280 78378960360 229911617056
(loop(\(x,i).((((((x * x) + 1) * x) * x) + 1) * (x + 1)),1,(x * x)) * (x + 1))
A105067: 1 12 4095 265720 5592405 61035156 435356467 2306881200 9817068105 35303692060 111111111111 313842837672 810554586205 1941507093540 4361070182715 9267595563616
(loop(\(x,i).(((x * x) * (x - 1)) * ((x * x) - 1)),1,((x * x) * x)) div (x + 1))
A064587: 0 0 9408 3449628 211341312 5045250000 66856881600 591709998348 3901724295168 20560831566912 90818091000000 347842282071900 1184469255180288 3654470309235408 10367425399461312 27360256600687500
((loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),x,1) div 2) * (x - 1))
A069721: 0 0 4 40 336 2688 21120 164736 1281280 9957376 77395968 601968640 4686094336 36515020800 284817162240 2223764766720
loop(\(x,i).(x - ((x div ((((x div 2) mod ((2 + 2) + 1)) + 2) + 2)) * 2)),2,(x - 1))
A073635-A071532: 1 0 1 2 3 4 5 6 5 6 5 6 5 6 7 6
(((x + 1) * 2) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - (x - 1)))
A212790: 0 0 0 2 4 5 4 5 4 1 2 24 26 28 30 32
loop(\(x,i).((2 + 1) * x),(((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * (x * x)),1)
A067506: 1 9 81 150094635296999121
(loop(\(x,i).(((((2 + 2) + 1) * x) * (((2 + 1) * 2) + 1)) + 1),2,(x * x)) - 1)
A158733: 35 1260 4935 11060 19635 30660 44135 60060 78435 99260 122535 148260 176435 207060 240135 275660
(loop(\(x,i).(x - ((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1)),2,(x * x)) + 1)
A158665: 29 870 3393 7598 13485 21054 30305 41238 53853 68150 84129 101790 121133 142158 164865 189254
(loop(\(x,i).(x - (((((x * 2) * 2) * 2) * ((2 + 2) + 1)) + 1)),2,(x * x)) + 1)
A158768: 39 1560 6123 13728 24375 38064 54795 74568 97383 123240 152139 184080 219063 257088 298155 342264
(loop(\(x,i).((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x) + 1),2,(x * x)) - 1)
A158741: 37 1406 5513 12358 21941 34262 49321 67118 87653 110926 136937 165686 197173 231398 268361 308062
((if x <= 0 then 1 else (((((x * x) * (2 + 1)) * (2 + 1)) + 1) * 2)) * ((x * x) + 1))
A008355: 1 40 370 1640 4930 11752 24050 44200 75010 119720 182002 265960 376130 517480 695410 915752
(loop(\(x,i).((((x * x) + 1) * x) * (x + 1)),1,(((x * x) * x) * (x * x))) + 1)
A269527: 1 5 1082401 3501192601 1100586419201 95397958987501 3656628685521505 79797014141614001 1152956690052710401 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i + 2) mod (2 + 2)) + ((x * 2) * 2)) * 2) + x),(x + 1),0) div 2)
A037763: 3 27 244 2198 19785 178065 1602586 14423276 129809487 1168285383 10514568448 94631116034 851680044309 7665120398781 68986083589030 620874752301272
(1 - ((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then (x div (0 - 2)) else 0) div 2))
A165430-A051340: 1 1 2 1 1 3 1 1 1 4 1 1 1 1 5 1
((if x <= 0 then 1 else ((x * 2) * 2)) - (((x - ((x div (2 + 2)) mod 2)) div 2) div (0 - 2)))
A312894: 1 4 9 13 17 21 25 30 34 38 43 47 51 55 59 64
((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + (if x <= 0 then 0 else 2))
A136164: 0 2 2 2 2 3 2 2 2 3 2 4 2 3 3 2
(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 2))
A290251: 0 1 2 1 3 2 2 1 4 3 3 2 3 2 2 1
(if x <= 0 then 0 else ((x + 1) mod (((x mod (((x - 1) mod ((2 + 2) + 1)) + 1)) + 1) * 2)))
A219175: 0 0 1 0 1 0 1 0 3 2 1 0 1 2 3 0
(if x <= 0 then 0 else ((x + 1) mod ((((x - 2) mod ((x div ((2 + 2) + 1)) + 1)) + 1) * 2)))
A229878: 0 0 1 0 1 2
A103528: 0 0 1 0 1 2 1 0 1 2 5 0 1 2 1 0
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * (2 + 1)) - 1)) + 1) div 2)
A110431: 6 55 550 5500 55000 550000 5500000 55000000 550000000 5500000000 55000000000 550000000000 5500000000000 55000000000000 550000000000000 5500000000000000
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 2) * (2 + 1)) - 1)) - 1) div 2)
A110430: 5 54 549 5499 54999 549999 5499999 54999999 549999999 5499999999 54999999999 549999999999 5499999999999 54999999999999 549999999999999 5499999999999999
(((((loop(\(x,i).(x * 2),x,2) div (x + 1)) + x) mod ((x div (2 + 1)) + 1)) + 1) div 2)
A089616: 0 0 0 1 0 1 0 0 1 2 0 0 1 2 2 1
((x - ((x div ((loop(\(x,i).(x * 2),((x * 2) - 1),1) mod (x + 1)) + 1)) - 1)) div 2)
A095201: 0 0 1 0 2 2 3 0 4 3 5 5 6 5 7 0
(((x div (((loop(\(x,i).(x * 2),x,((x mod 2) + 2)) - 1) mod (x + 1)) + 1)) + 1) div 2)
A340502: 0 0 1 0 1 0 2 0 1 1 3 0 3 1 1 0
(((loop(\(x,i).(((x div 2) + (x * 2)) * 2),x,1) * (((2 + 2) * 2) + 1)) + 1) div 2)
A113023: 5 18 90 450 2250 11250 56250 281250 1406250 7031250
(((((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + x) mod (((2 + 2) * 2) + 1)) + 1) div 2)
A190457: 3 1 4 2 1 3 2 4 3 1 4 2 0 3 1 4
(if x <= 0 then 1 else ((x mod 2) - (((2 - x) div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2)))
A343493: 1 1 0 0 ~1 0 ~1 0 ~1 0 0 0 ~1 0 0 1
loop(\(x,i).((x * 2) * 2),((((x div ((2 + 2) + 1)) + x) * ((2 + 2) + 1)) + 1),2)
A320864: 8 8192 8388608 8589934592 8796093022208 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else (((x div (2 + 2)) + 1) mod (((1 - x) mod ((2 + 2) + 1)) + 1))) div 2)
A125250: 1 0 0 0 1 0 0 1 1 0 0 0 2 0 0 0
((if x <= 0 then 1 else ((0 - ((x div (2 + 2)) + 1)) mod ((x div ((2 + 2) + 1)) + 1))) * 2)
A104261: 2 0 0 0 0 0 0 0 2 2 0 0 4 4 4 0
((loop(\(x,i).((((x div 2) + x) + 2) * 2),(x div 2),(((x mod 2) * 2) + 1)) + 1) div 2)
A047081: 1 2 3 6 11 20 35 62 107 188 323 566 971 1700 2915 5102
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017645: 100000 5153632 45435424 205962976 656356768 1680700000 3707398432 7339040224 13382255776 22877577568 37129300000 57735339232 86617093024 126049300576 178689902368 247609900000
((if x <= 0 then 2 else (((x - (((x div 2) * x) mod ((2 + 2) * 2))) div (2 + 1)) + 1)) div 2)
A255065: 1 0 0 0 1 1 1 0 1 1 1 1 2 1 2 2
(((((loop(\(x,i).(((i + x) div (2 + 1)) + x),x,2) div 2) + 2) div (2 + 1)) + 1) div 2)
A290137: 1 1 1 1 1 1 2 3 4 5 7 9 12 16 22 30
((loop(\(x,i).(x * 2),(x div 2),(2 - (x mod 2))) * (((2 + 2) * (2 + 1)) - 1)) * 2)
A108213: 44 22 88 44 176 88 352 176 704 352 1408 704 2816 1408 5632 2816
(((((if x <= 0 then 2 else ((((x * x) div (2 + 2)) + x) div 2)) + 2) div (2 + 1)) + 1) div 2)
A029159: 1 0 1 1 1 1 2 2 2 3 3 4 4 5 6 6
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017550: 64 7529536 308915776 3010936384 15625000000 56800235584 164206490176 404567235136 885842380864 1771561000000 3297303959104 5789336458816 9685390482496 15557597153344 24137569000000
(((((((if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2) + x) * x) div 2) div (2 + 1)) + 1) div 2)
A238098: 0 0 1 1 2 3 4 5 7 8 10 12 13 15 19 21
((loop(\(x,i).((x * 2) * 2),(x - 1),(((((2 + 2) + 1) * x) * 2) + 1)) + 1) div 2)
A229473: 1 6 42 248 1312 6528 31232 145408 663552 2981888 13238272 58195968 253755392 1098907648 4731174912 20266876928
((loop(\(x,i).(((((x div 2) + (x * 2)) * ((2 + 2) + 1)) + x) * 2),x,1) + 1) div 2)
A067424: 1 11 297 8019 216513 5845851 157837977 4261625379 115063885233 3106724901291 83881572334857 2264802453041139 61149666232110753 1651040988266990331 4611686018427387903 4611686018427387903
((((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then ((2 + 2) + 1) else 0) mod (x + 1)) + 1) * 2)
A164898: 2 2 2 2 2 2 2 2 2 12 2 2 2 2 12 2
(((loop(\(x,i).((((x * 2) div ((2 + 2) + 1)) + x) + 2),x,0) div (x + 1)) + 1) div 2)
A173692: 0 1 1 1 1 1 2 2 3 4 5 6 8 11 14 19
(loop(\(x,i).(((((x * 2) - (x mod ((2 + 2) + 1))) + 2) * 2) + 1),(x + 1),1) div 2)
A037786: 3 14 56 225 903 3614 14456 57825 231303 925214 3700856 14803425 59213703 236854814 947419256 3789677025
((((loop(\(x,i).(x * 2),(((x - 1) * x) div 2),(2 + 1)) div 2) div (x + 1)) + 1) div 2)
A305028: 1 0 1 2 10 128
(loop(\(x,i).((((x div ((2 + 2) + 1)) mod 2) + x) + ((x * 2) * 2)),(x + 1),1) div 2)
A037626: 2 13 65 327 1638 8190 40952 204763 1023815 5119077 25595388 127976940 639884702 3199423513 15997117565 79985587827
(((x + 1) mod (((((if (x mod 2) <= 0 then (1 - x) else x) * 2) * 2) mod (x + 1)) + 1)) div 2)
A241273: 0 0 0 0 0 0 0 1 0 1 1 1 2 1 3 1
(loop(\(x,i).((((x + 2) + 1) mod (((2 + 2) * 2) + 1)) * (2 + 1)),(x - 1),1) div 2)
A021148: 0 0 6 9 4 4 4 4 4 4 4 4 4 4 4 4
((loop(\(x,i).((((i div (2 + 1)) + 2) * ((i div (2 + 1)) + 1)) + x),x,1) + 1) div 2)
A144677: 1 2 3 6 9 12 18 24 30 40 50 60 75 90 105 126
(1 - ((x mod (((if ((x + 2) mod (((x div 2) mod 2) + 2)) <= 0 then 2 else 0) * 2) + 1)) div 2))
A117947: 1 1 1 1 ~1 1 1 0 0 1 1 1 0 1 1 1
(loop(\(x,i).(x * 2),(((((x div ((2 + 2) + 1)) * x) div (2 + 1)) + 1) div 2),1) * 2)
A321213: 2 2 2 2 2 4 4 4 4 8 16 32
(if x <= 0 then 1 else ((((((2 - x) + (2 + 1)) mod ((x div (2 + 1)) + 1)) div 2) + 1) * 2))
A104361: 1 2 2 2 2 2 4 2 2 2 4 4 4 4 2 4
(if x <= 0 then 1 else (((((((x + 2) + 2) * x) mod ((x div (2 + 1)) + 1)) div 2) + 1) * 2))
A003648: 1 2 2 2 2 2 2 4 2 2 2 2 4 2 4 4
(((((loop(\(x,i).(((i + 1) div 2) * x),x,1) div ((x + 2) + 1)) + 1) div 2) + 1) div 2)
A241470: 0 0 0 0 0 1 1 4 13 60
(((((loop(\(x,i).(((x div 2) + x) + 2),x,0) div ((x * 2) - 1)) + 1) div 2) + 1) div 2)
A316077: 0 1 1 1 1 1 1 1 2 2 3 4 5 7 10 14
((((if x <= 0 then 2 else ((((1 - x) * (x - 1)) mod ((x div 2) + 1)) + 1)) div 2) + 1) div 2)
A112223: 1 0 1 0 0 1 1 0 1 1 1 1 2 1 2 1
(if x <= 0 then 1 else ((((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1) * 2))
A328400: 1 2 2 4 2 2 2 8 4 2 2 12 2 2 2 16
((((((loop(\(x,i).(((x div 2) + x) + 2),x,0) + x) div (x + 1)) + 1) div 2) + 1) div 2)
A173674: 0 1 1 1 1 1 2 2 3 4 5 7 10 13 18 25
(((((loop(\(x,i).((((2 + 2) * 2) + x) * 2),(x + 1),1) - 2) - 1) * 2) - 1) * 2)
A305156: 58 194 466 1010 2098 4274 8626 17330 34738 69554 139186 278450 556978 1114034 2228146 4456370
((x * 2) div ((x div ((if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then 1 else 2) + 1)) + 2))
A196052: 0 1 2 2 2 3 3 3 4 3 2 4 3 4 4 4
((if x <= 0 then 2 else (1 - (x mod ((((1 - x) div (((2 + 1) * 2) + 1)) * 2) - 1)))) div 2)
A321400-A300705-A282750-A105821-A061198: 1 0 1 0 1 1 0 1 1 1 0 2 2 1 1 0
((((if x <= 0 then 2 else ((x + 1) mod ((x div ((x mod (2 + 1)) + 2)) + 1))) div 2) + 1) div 2)
A029421: 1 0 0 0 0 0 1 1 0 0 1 0 2 1 1 0
((((((if (((x div 2) * x) mod 2) <= 0 then x else (x mod (2 + 1))) div 2) + 1) div 2) + 1) div 2)
A337474: 0 0 1 0 1 1 1 0 1 1 2 1 2 2 2 0
(((((loop(\(x,i).((x * 2) - ((i + 1) mod (x + 1))),x,1) div 2) + 1) div 2) + 1) * 2)
A033827: 2 4 4 4 6 8 8 12 16 24
(((((if (x mod 2) <= 0 then (x div 2) else ((x * 2) + 1)) mod ((2 + 2) + 1)) div 2) + 1) + 2)
A100867: 3 4 3 4 4 3 4 3 5 5 3 4 3 4 4 3
(if x <= 0 then 1 else (((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + 2))
A088748: 1 2 3 2 3 4 3 2 3 4 5 4 3 4 3 2
(((x + 2) mod (((if (x - 1) <= 0 then 1 else (((x + 1) div 2) div (2 + 1))) * 2) + 1)) div 2)
A029430: 1 0 0 0 0 0 1 0 0 1 0 1 2 0 0 1
(1 - (((if (x mod ((2 + 2) * 2)) <= 0 then x else 0) - (x div (((2 + 1) * 2) + 1))) div 2))
A044930: 1 1 1 1 1 1 1 2 ~2 2 2 2 2 2 2 2
((x * 2) - ((x div 2) - (if ((x div (2 + 2)) - (x mod ((2 + 1) * 2))) <= 0 then 1 else 2)))
A225647: 1 3 4 6 7
A103566: 1 3 4 6 7 9 11 12 13 15 16 18 20 22 23 24
((((((if (x - (2 + 1)) <= 0 then x else (2 + 2)) + 1) + (x div (2 + 1))) div 2) + 1) + 2)
A079107: 3 4 4 5 6 6 6 6 6 7 7 7 7 7 7 8
((((if x <= 0 then 2 else (((((x * x) div ((2 + 2) + 1)) + x) div 2) + 1)) div 2) + 1) div 2)
A067842-A029148: 1 0 1 1 1 2 2 2 3 3 4 5 5 6 7 8
(if (x mod 2) <= 0 then ((((1 - ((x * x) + (x mod 2))) mod ((x + 2) + 1)) * 2) + 1) else 2)
A319044: 3 2 5 2 13 2 3 2
(((((if (x mod 2) <= 0 then ((((x div 2) + 1) div 2) + 1) else 0) * (x + 1)) div 2) + 1) div 2)
A049641: 0 0 2 0 3 0 5 0 7 0 11 0 13 0 19 0
((((loop(\(x,i).(x * 2),x,(((1 - x) * x) div (2 + 2))) mod (x + 1)) div 2) + 1) div 2)
A306696: 0 0 1 0 1 1 2 0 2 1 3 1 2 2 3 0
(loop(\(x,i).((2 + 1) * x),(1 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))),1) div 2)
A107680: 0 1 1 4 4 4 4 13 13 13 13 13 13 13 13 40
(1 - (((((loop(\(x,i).(x - ((i - (x div 2)) div 2)),x,1) + 1) div 2) div 2) + 1) div 2))
A225500: 1 1 1 1 1 2 2 3 4 5 7 9 12 15 19 25
(((((loop(\(x,i).(x * x),2,(x + 1)) * (((2 + 1) * 2) + 1)) div 2) div 2) + 1) div 2)
A186707: 1 14 71 224 547 1134 2101 3584 5741 8750 12811 18144 24991 33614 44297 57344
((((loop(\(x,i).(x * x),1,(x - (((x div (2 + 1)) * 2) - 1))) div 2) div 2) + 1) div 2)
A161103: 0 1 1 1 1 2 1 2 3 2 3 5 3 5 6 5
((if x <= 0 then 2 else ((x div (((((0 - x) * x) mod ((2 + 2) + 1)) + 2) * 2)) + 1)) div 2)
A025882: 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 2
((((x + 1) div (((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) div 2) + 2)) + 1) div 2)
A165915: 0 1 1 1 1 2 2 1 2 3 3 1 3 4 3 1
((if (x - 1) <= 0 then 0 else ((((((x div 2) - (x div (2 + 1))) div 2) + 2) * 2) + 1)) + 2)
A054085: 2 2 7 7 7 7 7 7 9 7 9 9 9 9 9 9
(((((loop(\(x,i).((((x + 1) div 2) * x) div 2),2,(x - 1)) div 2) div 2) div 2) + 1) div 2)
A308910: 0 0 0 0 0 0 1 1 3 4 8 10 18 20 32 38
(if x <= 0 then 1 else (((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1) * 2))
A324291: 1 2 2 2 2 6 2 2 2 6 2 6 2 6 10 2
(if x <= 0 then 1 else ((((2 + 1) * x) - (((x + 2) * 2) div (((2 + 2) * 2) + 1))) * 2))
A315653: 1 6 12 16 22 28 34 38 44 50 56 62 66 72 78 84
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((x - (x div (((2 + 2) * 2) + 1))) div 2))
A315523: 1 6 11 17 22 28 33 39 44 50 56 61 67 72 78 83
((loop(\(x,i).((x mod (((2 + 1) * 2) + 1)) * (2 + 1)),x,((2 + 2) * 2)) - 1) div 2)
A068028: 3 1 4 2 8 5 7 1 4 2 8 5 7 1 4 2
(x - ((((x + 1) div 2) div 2) - (if ((x div 2) - (x mod ((2 + 2) * 2))) <= 0 then 1 else 2)))
A309081: 1 2 3 3 4 5 6 6 8 9 10 10 11 12 13 12
(if x <= 0 then 1 else ((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + 2))
A328830-A182860: 1 2 2 2 2 3 2 2 2 3 2 4 2 3 3 2
(((loop(\(x,i).((x + 2) * 2),(x div 2),(x mod 2)) mod ((x div (2 + 2)) + 2)) + 1) div 2)
A030425: 0 1 0 0 0 1 1 0 0 0 0 0 1 1 2 1
(loop(\(x,i).(((2 + 2) + 1) * (x + 2)),(x div 2),((((x mod 2) * 2) * 2) + 1)) + 2)
A026396: 3 7 17 37 87 187 437 937 2187 4687 10937 23437 54687 117187 273437 585937
(1 - (((((x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) div 2) mod (2 + 2)) + 1) div 2))
A207710: 1 1 0 1 0 0 0 ~1 1 0 0 0 0 0 ~1 0
(if x <= 0 then 1 else ((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 2))
A067132: 1 2 2 3 2 2 2 4 3 2 2 3 2 2 2 5
(2 - (((2 - (if (x mod ((2 - (x mod 2)) + 2)) <= 0 then x else 0)) mod ((2 + 2) + 1)) div 2))
A306734: 1 1 1 0 1 1 1 1 0 1 1 1 2 1 1 1
loop(\(x,i).(x * 2),(((((x * 2) - (x mod (2 + 2))) * 2) + 1) * ((2 + 2) + 1)),2)
A320862: 64 65536 67108864 68719476736 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (((x - 1) mod ((x mod 2) + 2)) mod 2) <= 0 then (x - 1) else 2) mod ((2 + 2) + 1)) div 2)
A015716: 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 2
((x * 2) - ((if x <= 0 then 1 else (2 - ((((x - 1) * x) div 2) div ((2 + 2) + 1)))) div 2))
A094227: 0 1 3 5 8 10 13 15 18 21 24 27 30 33 36 40
(if x <= 0 then 1 else ((((x mod (((2 + 2) + 1) * 2)) + (x + 2)) div ((2 + 2) + 1)) + 2))
A058889: 1 2 3 3 4 4 4 5 5 6 4 4 5 5 6 6
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 2) + 1) * 2))
A152669: 1 1 2 5 4 2 2 9 0 2 6 6 2 0 0 5
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) + 1) * 2))
A007652: 2 3 5 7 1 3 7 9 3 9 1 7 1 3 7 3
((loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + x) + (((2 + 2) + 1) * 2))
A088381: 10 12 14 16 18 20 22 24 26 28 30 32 33 34 36 38
(if x <= 0 then 1 else (((x * 2) - ((((x + 1) mod (2 + 1)) - x) div ((2 + 2) + 1))) * 2))
A310369: 1 4 10 14 18 22 26 30 36 40 44 50 54 58 62 66
(if x <= 0 then 1 else (((((((2 + 2) * (2 + 1)) - 1) * x) * x) div ((2 + 2) + 1)) + 2))
A008260: 1 4 10 21 37 57 81 109 142 180 222 268 318 373 433 497
(if x <= 0 then 1 else ((((x * 2) - ((((x div 2) mod (2 + 2)) - x) div (2 + 2))) - 1) * 2))
A311155: 1 4 8 12 16 20 24 28 34 40 44 48 52 56 60 64
(((((loop(\(x,i).(((i mod 2) + x) * 2),x,1) + ((x + 1) * x)) div 2) div 2) + 1) div 2)
A276661: 0 1 2 4 7 13 24 44 84 161
((((loop(\(x,i).(x * 2),x,(((((x + 2) * 2) * 2) * 2) - x)) div 2) div 2) + 1) div 2)
A335903: 2 6 15 37 88 204 464 1040 2304 5056 11008 23808 51200 109568 233472 495616
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) + 1) * 2))
A017095: 128 10000000 612220032 8031810176 52523350144 230539333248 781250000000 2207984167552 5455160701056 12151280273024 24928547056768 47829690000000 86812553324672 150363025899136
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) * 2) + 1) * 2)))
A017010: 64 531441 16777216 148035889 729000000 2565726409 7256313856 17596287801 38068692544 75418890625 139314069504 243087455521 404567235136 646990183449 1000000000000 1500730351849
(1 - (if (x - 1) <= 0 then (x * 2) else ((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)))
A076699: 1 ~1 1 1 1 0 1 1 1 0 1 0 1 0 0 1
(((((x + 2) + 1) mod (((if ((x div 2) - 2) <= 0 then 1 else 2) + (x mod 2)) + 2)) + 1) div 2)
A174886: 0 0 1 1 1 0 1 0 2 1 1 2 2 1 1 2
((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),(x + 1),0) * (2 + 1)) - 2)
A086945: 61 691 6991 69991 699991 6999991 69999991 699999991 6999999991 69999999991 699999999991 6999999999991 69999999999991 699999999999991 6999999999999991 69999999999999991
(((x + 1) mod (((x div ((if (x mod 2) <= 0 then (2 + 2) else 1) * 2)) + 1) * (2 + 1))) div 2)
A278529: 0 1 0 2 1 3 0 4 1 5 2 6 0 7 1 8
((if (x mod (2 + 1)) <= 0 then 1 else 0) - (((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) mod 2))
A015878-A015752-A015668-A015542-A015500-A015416-A015290-A015248-A015122-A014996-A014912-A014870-A014786-A014660-A014618-A014492-A014408-A014366: 1 ~1 0 1 ~1 0 1 0 ~1 1 0 ~1 1 0 0 0
((loop(\(x,i).(((x * x) * (x * x)) * (x * x)),(x * 2),(2 + 1)) * (2 + 1)) - 2)
A180225: 7 450283905890997361 4611686018427387903
(((if x <= 0 then 1 else x) - ((((((x mod (2 + 1)) - 1) * x) div 2) - 1) div (2 + 1))) div 2)
A130872: 1 1 1 2 2 2 4 4 3 5 5 5 7 7 6 9
(((((loop(\(x,i).(x * 2),(x - 1),((x + 2) + 1)) div 2) + 1) div 2) * (2 + 1)) div 2)
A084861: 1 1 4 9 21 48 108 240 528 1152 2496 5376 11520 24576 52224 110592
(if x <= 0 then 0 else ((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (2 + 1)) + 2))
A337228: 0 2 2 2 2 5 2 2 2 5 2 5 2 5 5 2
(if x <= 0 then 0 else (2 - (((x mod (((x mod (2 + 1)) * (2 + 1)) + 2)) mod (2 + 1)) mod 2)))
A062501: 0 1 2 1 1 2 2 2 2 1 2 2 2 2 2 1
(if x <= 0 then 1 else ((((((x * 2) * 2) - ((x div 2) div (2 + 1))) * 2) div (2 + 1)) * 2))
A310501: 1 4 10 16 20 26 30 36 40 46 52 56 60 66 72 76
(x - (((1 - (((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2))) div (2 + 1)) * 2))
A003158: 2 7 10 13 18 23 28 31 34 39 42 45 50 53 56 61
(2 - (if x <= 0 then 1 else (x - ((((((x * x) * x) div (x + 2)) + 2) div (2 + 1)) * 2))))
A094055: 1 1 2 3 6 9 14 21
A094056: 1 1 2 3 6 9 14 21 28 37 48
((((loop(\(x,i).((x div (2 + 2)) + x),x,((2 + 2) + 1)) + x) + 2) div (2 + 1)) div 2)
A125890: 1 1 1 2 2 3 3 4 5 6 7 9 10 13 15 19
(((x * x) - ((if x <= 0 then 1 else x) - (((((x * x) - 1) * x) div 2) div (2 + 1)))) + 2)
A116721: 1 2 5 12 24 42 67 100 142 194 257 332 420 522 639 772
(if x <= 0 then 1 else (((x * 2) - (((((x div (2 + 1)) mod 2) - x) * 2) div (2 + 1))) * 2))
A315639: 1 6 12 16 20 26 32 38 44 48 52 58 64 70 76 80
((((x - (loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x)) div 2) div (2 + 1)) * 2)
A092712: 0 0 0 0 0 ~4 ~28 ~104
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((x * 2) * (2 + 1)) + 2))
A016939: 128 2097152 105413504 1280000000 8031810176 34359738368 114415582592 319277809664 781250000000 1727094849536 3521614606208 6722988818432 12151280273024 20971520000000 34792782221696
((loop(\(x,i).((x div 2) + x),(x - 1),2) div (((2 + 2) * 2) + 1)) mod ((2 + 1) * 2))
A343321: 0 0 0 0 0 1 1 2 3 4 1 4 3 5 5 4
((loop(\(x,i).((((x div 2) div ((2 + 2) + 1)) + x) + 2),x,2) div 2) + ((2 + 1) * 2))
A120208: 7 8 9 10 11 12 14 15 17 19 21 23 26 29 32 35
(((if (x - 1) <= 0 then x else (((x - ((x div 2) mod 2)) div 2) + 2)) + x) + ((2 + 1) * 2))
A331201-A080257: 6 8 10 12 14 15 16 18 20 21 22 24 26 27 28 30
((compr(\x.(1 - (x mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1))),x) * (2 + 1)) div 2)
A097703: 1 4 7 10 12 13 16 19 22 24 25 28 31 34 37 40
(if x <= 0 then 1 else (((x * 2) - ((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1))) * 2))
A315185: 1 6 10 14 18 24 28 32 36 42 48 52 56 60 66 70
(if x <= 0 then 1 else (((x * 2) - (((((x div 2) + 1) mod (2 + 1)) - x) div (2 + 1))) * 2))
A312655: 1 4 8 14 20 24 28 32 36 42 48 52 56 60 64 70
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017190: 64 1771561 64000000 594823321 3010936384 10779215329 30840979456 75418890625 164206490176 326940373369 606355001344 1061520150601 1771561000000 2839760855281 4398046511104 6611856250609
((((loop(\(x,i).(((x + 1) * x) + 1),2,2) mod ((x div 2) + 1)) + x) + (2 + 1)) div 2)
A051134: 1 2 3 3 3 4 5 5 6 7 8 8 8 8 9 9
((((loop(\(x,i).(((x + 2) * x) + 2),(x div 2),(x mod 2)) - 1) + x) div (2 + 1)) + 2)
A330990: 1 2 3 4 6 15 44
((((if ((x div 2) - 1) <= 0 then 1 else (1 - (x div ((0 - 2) - 2)))) + x) * (2 + 1)) div 2)
A022297: 1 3 4 6 9 12 13 15 16 19 21 22 24 27 28 30
((((((if (x - ((2 + 2) * (2 + 1))) <= 0 then 2 else 1) + x) div 2) + x) * (2 + 1)) div 2)
A330180: 1 3 6 7 10 12 15 16 19 21 24 25 28 30 31 34
((if x <= 0 then 1 else ((x + 2) - ((1 - ((((x div 2) * x) mod 2) + x)) div (2 + 1)))) + 2)
A183868: 3 5 7 8 9 11 12 14 15 16 17 19 20 21 23 24
((((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 1) + (x div (2 + 1))) div 2)
A094606: 0 1 1 2 3 3 4 5 5 6 6 6 6 6 6 7
(x div (if ((x mod ((((x div 2) + 1) div 2) + 1)) mod 2) <= 0 then 1 else ((x div (2 + 1)) + 2)))
A130758: 0 1 2 1 4 1 6 1 8 9 10 2 12 2 14 15
((if ((x + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 1 else 2) - ((x mod (2 + 1)) div 2))
A035180: 1 1 0 1 1 0 2 1 1 1 2 0 2 2 0 1
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(((2 + 1) * x) + 2),1) div 2)
A187366: 5 231 12155 676039 38779380 2268783825 134564468610 8061900920775 486734856412028 29566145391215356 1804857108504066435 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x + 1) * x) + 1) * ((x + 2) + 1)),(((x + 1) * x) + 2),1) + 2)
A081208: 2357 4611686018427387903
(((((loop(\(x,i).((x div (2 + 1)) + x),x,((2 + 2) + 1)) div 2) + x) div 2) + 1) div 2)
A173513: 1 1 2 2 3 3 4 5 7 9 11 14 18 23 30 38
(((loop(\(x,i).(((i + 2) + 2) * x),x,(x + 2)) * (x + 2)) * ((x + 2) + 1)) div 2)
A037959: 6 90 1200 15750 211680 2963520 43545600 673596000 10977120000 188367379200 3399953356800 64457449056000 1281520880640000 26676557107200000 580481882652672000 4611686018427387903
(((loop(\(x,i).(((x + 1) * x) div 2),2,((x div 2) + 1)) + x) mod ((x + 2) + 1)) div 2)
A337178: 0 1 1 1 2 1 3 1 3 4 3
((loop(\(x,i).((((((2 + 1) * 2) + 1) * 2) * 2) div (x + 1)),2,(x * 2)) + 1) div 2)
A265535: 0 1 2 3 4 5 5 7 7 7 7 7 7 7 14 14
(if x <= 0 then 1 else (x - (((x - (x div (2 + 1))) div (2 + 1)) - (((x * 2) + 1) * 2))))
A072354: 1 7 12 17 21 26 31 36 40 45 50 55 60 64 69 74
((((if (((x + 2) div (2 + 1)) mod (2 + 2)) <= 0 then 2 else 0) + 1) mod ((x div 2) + 1)) + 2)
A257244: 2 2 3 3 3 3 3 3 3 3 5 5 5 3 3 3
((if (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2) <= 0 then 2 else ((x div 2) + 1)) div 2)
A047080-A036064: 1 1 1 1 1 1 1 2 2 1 1 3 3 3 1 1
((2 - ((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) mod (2 + 2)) mod ((x div 2) + 1))) div 2)
A257234: 1 1 0 1 0 0 1 0 0 ~1 1 0 0 ~1 1 0
(if (x - 2) <= 0 then (x div 2) else ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2))
A255517-A145153: 0 0 1 0 1 0 0 1 1 0 0 1 2 1 0 0
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017298: 64 2985984 113379904 1073741824 5489031744 19770609664 56800235584 139314069504 304006671424 606355001344 1126162419264 1973822685184 3297303959104 5289852801024 8198418170944
(loop(\(x,i).(1 - x),x,((((((x * x) div 2) * (2 + 1)) * (2 + 1)) + x) + 1)) div 2)
A266087: 0 ~1 10 ~20 38 ~57 84 ~112 148 ~185 230 ~276 330 ~385 448 ~512
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) - 1)) div 2)
A129869: ~1 1 5 20 77 294 1122 4290 16445 63206 243542 940576 3640210 14115100 54826020 213286590
(loop(\(x,i).(((((x div (((x mod 2) + 2) + 2)) + (x div 2)) div 2) + x) + 1),x,1) div 2)
A064323: 0 1 1 2 3 4 6 8 11 15 21 29 40 55 75 103
((compr(\x.((x div (2 + 2)) - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))),x) + 1) * 2)
A231565: 2 4 6 8 12 16 18 20 24 30 32 36 40 42 48 54
((loop(\(x,i).(((x * x) * x) * (2 + 2)),(x - 1),1) * (((x + 1) * x) + 1)) div 2)
A060614: 0 1 14 1664
((((if (x - 1) <= 0 then x else ((((x - 1) div ((2 + 2) + 1)) mod 2) + 2)) + x) + 1) + 2)
A047746: 3 5 7 8 9 10 12 13 14 15 16 16 17 18 19 20
(if x <= 0 then 1 else (((((((((x * x) + 2) * x) div (2 + 1)) + x) * 2) * x) + 1) * 2))
A008413: 1 10 50 170 450 1002 1970 3530 5890 9290 14002 20330 28610 39210 52530 69002
(((((x * 2) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1) mod (x + 1)) div 2)
A083280: 0 0 0 0 0 1 0 2 0 1 0 3 0 1 0 6
((loop(\(x,i).((2 + 1) * x),(2 - ((2 - x) div ((x div 2) + 2))),1) div (x + 1)) div 2)
A277855: 1 2 1 3 2 2 1 1 1 4 3 3 3 2 2 2
((x div (2 + 1)) - (x - ((if x <= 0 then 1 else (((x * x) div (2 + 1)) mod (x + 1))) * 2)))
A131667: 2 ~1 0 4 ~3 0 6 ~5 0 8 ~7 0 10 ~9 0 12
(((if ((x + 2) mod (2 - (x mod ((0 - 2) - 2)))) <= 0 then (x + 2) else 1) * (x + 1)) div 2)
A069268: 1 1 6 2 15 3 28 36 45 5 66 6 91 105 120 8
(x div ((loop(\(x,i).((((((i mod 2) * 2) * 2) + 1) * x) + 2),x,1) mod (x + 1)) + 2))
A213727: 0 0 1 0 0 1 1 0 0 1 3 0 1 1 1 0
(((loop(\(x,i).(x * x),2,((((2 + 2) * 2) * (2 + 1)) - 1)) - 2) mod (x + 1)) + 2)
A091733: 2 3 4 5 6 7 2 9 4 11 12 13 3 9 16 17
((loop(\(x,i).(x * 2),x,(((x - ((1 - x) mod (2 + 1))) div 2) + 2)) mod (x + 1)) div 2)
A279048: 0 0 1 0 2 0 2 0 1 1 3 0 3 1 1 0
(loop(\(x,i).((((x + 2) * x) div ((((2 + 2) + 1) * 2) * 2)) + 2),2,(x + 1)) - 2)
A318029: 0 0 0 0 0 1 1 2 2 4 4 6 7 9 11 14
(((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (x + 2)) * (x + 1)) div 2)
A094760: 1 33 666 11110 166665 2333331 31111108 399999996 4999999995
(loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),x,1) * (((x + 2) * (x + 1)) div 2))
A027476: 1 45 1350 33750 759375 15946875 318937500 6150937500 115330078125 2114384765625 38058925781250 674680957031250 11806916748046875 204350482177734375 3503151123046875000 4611686018427387903
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((x + 2) * (x + 1)) div 2))
A059979: 1 2187 279936 10000000 170859375 1801088541 13492928512 78364164096 373669453125 1522435234375 5455160701056 17565568854912 51676101935731 140710042265625 358318080000000 860542568759296
((((if ((x + 2) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2) + (x div 2)) mod (x + 1)) + 2)
A305397: 2 3 4 4 5 6 6 7 8 8 8 9 10 10 10 11
(((((x div (((if (x - 2) <= 0 then 1 else x) mod 2) + 2)) + 1) - (x mod 2)) mod (x + 1)) + 2)
A204908: 2 2 3 3 5 3 6 4 7 5 8 5 9 6 10 7
((if x <= 0 then 1 else (((((x div 2) + 1) * 2) div ((2 + 2) + 1)) + 2)) + ((x + 1) * 2))
A169863: 3 6 8 10 13 15 17 19 22 24 26 28 30 32 35 37
((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) div (2 + 1)) + x) + ((x + 1) * 2))
A080753: 2 5 8 12 15 18 22 25 28 32 36 39 42 46 49 52
(((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,x) div (2 + 1)) + x) + ((x + 1) * 2))
A227121: 3 7 13 23 40 68 112 178 273 405 583 817 1118 1498 1970 2548
(loop(\(x,i).(x - ((((0 - x) * x) div ((2 + 2) * 2)) - 1)),2,x) div ((x + 1) * 2))
A226503: 1 1 1 1 1 2 2 2 3 3 4 5 5 7 8 9
((loop(\(x,i).((((x - (x div (2 + 2))) div 2) + x) + 2),x,2) + x) div ((x + 1) * 2))
A174619: 1 1 1 2 2 3 3 4 5 6 8 10 13 17 21 28
(((loop(\(x,i).((i div 2) + x),(x - ((2 + 2) * 2)),1) div 2) + 1) - ((x + 1) div 2))
A292042: 1 0 0 ~1 ~1 ~2 ~2 ~3 ~3 ~4 ~3 ~4 ~3 ~3 ~1 ~1
((loop(\(x,i).(((x - 1) * x) div 2),2,((x div 2) - 1)) div (2 + 1)) * ((x + 1) div 2))
A333321: 0 0 0 0 0 0 0 0 4 5 25 30 90 105 245 280
((((if (2 - x) <= 0 then (((2 + 2) + 1) * 2) else 1) - (x mod 2)) + 1) * ((x + 1) div 2))
A053715: 0 1 11 20 22 30 33 40 44 50 55 60 66 70 77 80
(((if x <= 0 then 1 else (x - ((x div ((x mod (2 + 1)) + 1)) mod 2))) + x) + ((x + 1) div 2))
A020959: 1 3 5 7 10 12 15 17 20 22 24 27 30 33 35 37
((1 - (((x div (((x mod 2) - 2) * (2 + 1))) mod (2 + 1)) div 2)) * (if x <= 0 then 1 else 2))
A339432: 1 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2
((((((((2 + 2) + 1) * x) + 1) * x) div 2) div ((x + 2) + 2)) + (if x <= 0 then 1 else 2))
A185603: 1 2 3 5 7 9 11 13 15 17 20 22 24 27 29 32
((x - ((x * x) div (((if (x mod 2) <= 0 then (((2 + 1) * 2) + 1) else x) + x) + 1))) + 2)
A176504: 2 3 4 4 5 5 6 6 6 7 7 8 7 9 8 10
(if x <= 0 then 1 else (((x * 2) - (((((x div (2 + 2)) + x) div 2) + x) div (0 - 2))) * 2))
A315655: 1 6 12 16 22 28 34 40 46 50 56 62 68 74 78 84
((loop(\(x,i).((x - ((2 - x) * (2 + 2))) * x),(((x + 1) * 2) + 1),1) div 2) div 2)
A104284: 5813 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)),1) div 2) div 2)
A251746: 0 0 0 0 0 0 0 1 0 1 2 4 8 16 32 64
((loop(\(x,i).(x * 2),x,((((((x - 1) * x) div 2) + 1) * (2 + 1)) + 1)) div 2) div 2)
A300451: 1 2 7 26 88 272 784 2144 5632 14336 35584 86528 206848 487424 1134592 2613248
((((loop(\(x,i).((((2 + 2) * 2) - (i + 1)) * x),x,1) * (2 + 1)) + 1) div 2) * 2)
A036749: 4 18 90 360 1080 2160 2160
((loop(\(x,i).(x * 2),x,(((((x + 2) * (x + 1)) div 2) * (2 + 1)) + 1)) div 2) div 2)
A295288: 1 5 19 62 184 512 1360 3488 8704 21248 50944 120320 280576 647168 1478656 3350528
(x div (((loop(\(x,i).(x * 2),x,1) mod ((x mod ((2 + 2) * (2 + 1))) + 1)) + 2) * 2))
A337682: 0 0 0 0 0 0 1 1 0 1 1 0 3 3 2 3
(((((loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) + x) * (2 + 1)) + 1) div 2) * 2)
A194382: 4 6 10 12 16 18 22 24 28 30 34 40 46 52 58 64
((x + 1) div (if x <= 0 then 1 else ((((x div (2 + 2)) mod ((x mod (2 + 1)) + 1)) + 2) * 2)))
A008678: 1 0 0 1 0 1 1 1 1 2 2 1 3 2 3 4
(((((x + 2) div ((if (x mod ((2 + 1) * 2)) <= 0 then 2 else (x mod 2)) + 1)) + 1) * 2) * 2)
A328184: 4 8 20 12 28 16 12 20 44 24 52 28 20 32 68 36
(((loop(\(x,i).((((2 + 2) * 2) * (2 + 1)) div (x + 1)),2,(x + 1)) + 1) div 2) + 2)
A181742: 3 3 4 4 4 5 5 6 6 6 6 8 8 8 8 8
((((loop(\(x,i).i,((x div (2 + 1)) - 2),1) + x) * (((2 + 1) * 2) + 1)) div 2) div 2)
A327212: 1 3 5 7 8 10 12 14 15 17 19 21 24 26 28 31
(loop(\(x,i).((x + 1) * 2),x,(((x - 1) mod ((x mod ((2 + 1) * 2)) + 1)) mod 2)) div 2)
A329625: 0 1 5 7 23 31 63 127 383 511 1023 2047 4095 8191
loop(\(x,i).(((((((x * 2) * 2) + i) + 1) * 2) + 1) * (((x + 1) * 2) + 1)),2,2)
A122036: 351351
(((((loop(\(x,i).(x * 2),x,((((x - 1) * x) div 2) - 2)) div 2) div 2) + 1) div 2) * 2)
A076616: 0 0 0 2 16 64 208 608 1664 4352 11008 27136 65536 155648 364544 843776
(((((x - 1) * x) div ((((if ((x div 2) - 2) <= 0 then x else 2) + 2) * 2) + 1)) + 2) div 2)
A049811: 1 1 1 1 1 1 2 3 4 5 6 7 8 9 11 12
((((if ((x + 1) mod (2 + 2)) <= 0 then (x div (2 + 1)) else 1) * ((2 + 2) + 1)) div 2) div 2)
A318812-A317176: 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 6
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 2),1) div ((((2 + 2) + 1) * 2) * 2))
A037754: 2 17 120 840 5882 41177 288240 2017680 14123762 98866337 692064360 4844450520 33911153642 237378075497 1661646528480 11631525699360
loop(\(x,i).(((x - 1) mod (((2 + 2) * 2) + 1)) + 2),x,((((2 + 2) + 1) * 2) * 2))
A118295: 20 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8
(if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 0 else (1 - (((x div ((2 + 2) + 1)) mod 2) * 2)))
A099443: 1 1 1 1 0 ~1 ~1 ~1 ~1 0 1 1 1 1 0 ~1
(if (x mod (2 + 1)) <= 0 then 1 else ((x mod (((1 - x) mod ((x div (2 + 2)) + 1)) + 2)) div 2))
A060398: 1 0 0 1 0 0 1 0 0 1 0 1 1 0 2 1
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((x - (x div (2 + 2))) + 1) div 2) div 2))
A315709: 1 6 12 17 23 29 35 41 47 52 58 64 70 76 81 87
(((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2)
A108269: 4 12 16 20 28 36 44 48 52 60 64 68 76 80 84 92
((((loop(\(x,i).((x * 2) * (2 + 1)),x,2) * ((x * 2) + 1)) div (2 + 1)) * 2) * 2)
A229505: 0 48 480 4032 31104 228096 1617408 11197440 76142592 510603264 3386105856 22251552768 145118822400 940369969152 6060162023424 38868625391616
(((loop(\(x,i).(x - ((((x div 2) div (0 - 2)) div 2) - 1)),x,1) div (2 + 1)) + 2) + 2)
A120197: 4 4 5 6 6 7 8 9 10 11 13 14 16 18 20 23
(((x - ((x div 2) - ((if (x mod ((2 + 2) * 2)) <= 0 then 1 else 2) * (2 + 1)))) div 2) div 2)
A326702: 0 1 1 2 2 2 2 2 1 2 2 3 3 3 3 3
(if x <= 0 then 1 else (((x + 1) * 2) - ((x mod ((((x + 1) div 2) div (2 + 1)) + 2)) div 2)))
A231407: 1 4 6
A284913: 1 4 6 8 10 11 14 16 17 20 22 23 26 28 29 31
((if x <= 0 then 1 else ((((((((x * 2) * 2) * 2) + 1) * 2) * 2) div (2 + 1)) * 2)) - 2)
A063327: ~1 22 42 64 86 106 128 150 170 192 214 234 256 278 298 320
((((((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) * 2) * 2) div (2 + 1)) * 2) * 2)
A342642-A036993: 0 4 8 16 20 24 32 36 40 48 64 68 72 80 84 88
((((loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + 2),x,2) + 2) div (2 + 1)) + 2) + 2)
A120198: 5 6 6 7 8 9 10 11 13 14 16 18 20 23 26 29
((if x <= 0 then 0 else 1) - ((((x - (((x * x) div 2) mod (x + 2))) div (2 + 1)) mod 2) * 2))
A011588: 0 1 1 ~1 1 1 ~1 1 1 1 1 ~1 ~1 ~1 1 ~1
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017574: 4096 16777216 481890304 4096000000 19770609664 68719476736 192699928576 464404086784 1000000000000 1973822685184 3635215077376 6327518887936 10509215371264 16777216000000
(loop(\(x,i).(((((2 + 2) + 1) * x) div (i + 1)) + x),(x * 2),((2 + 1) * 2)) div 2)
A053132: 3 28 126 396 1001 2184 4284 7752 13167 21252 32890 49140 71253 100688 139128 188496
(((x div 2) + 1) div ((if (x mod 2) <= 0 then (((x div (2 + 1)) * x) mod (2 + 1)) else 2) + 2))
A070091: 0 0 1 0 1 0 2 1 1 1 3 1 3 1 2 2
((if x <= 0 then 1 else (((((x * 2) - (x div (0 - 2))) + 1) - (x div (2 + 1))) * 2)) * 2)
A295822: 2 16 24 32 40 52 56 68 76 84 92 104 108 120 128 136
((if x <= 0 then 1 else ((((((x div (2 + 1)) + 1) div 2) + 1) * (x div (2 + 1))) + 2)) div 2)
A108711: 0 1 1 2 2 2 3 3 3 5 5 5 7 7 7 11
((loop(\(x,i).(((x div 2) - ((x mod 2) * 2)) + 1),(2 + 1),((x + 2) + 1)) div 2) + 2)
A280055: 1 2 1 2 3 1 2 3 2 3 1 2 3 2 3 4
((loop(\(x,i).(((((x * x) * (2 + 2)) * 2) * (2 + 1)) + 1),(x * 2),1) + 2) + 2)
A219011: 5 15005 4611686018427387903
((loop(\(x,i).((x * x) * x),1,((1 - ((x mod 2) * 2)) * ((x * 2) + 1))) div 2) div 2)
A305290: 0 ~7 31 ~86 182 ~333 549 ~844 1228 ~1715 2315 ~3042 3906 ~4921 6097 ~7448
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) + 1) * 2) * 2)))
A017034: 4096 1771561 34012224 244140625 1073741824 3518743761 9474296896 22164361129 46656000000 90458382169 164206490176 282429536481 464404086784 735091890625 1126162419264 1677100110841
((((if (((x - 1) div 2) mod (2 + 1)) <= 0 then 1 else (x - 1)) mod ((x div 2) + 1)) mod 2) + 2)
A334796: 2 2 3 2 2 3 3 3 3 3 3 2 2 3 3 2
((x div 2) - ((x - ((if x <= 0 then 2 else (((2 + 1) * 2) mod ((x div 2) + 1))) div 2)) div 2))
A245037: 1 0 0 0 0 0 1 0 0 0 0 0 2 1 2 1
((if (2 - x) <= 0 then ((((x div 2) * x) mod 2) + 2) else 1) + ((((x div 2) + 1) div 2) div 2))
A137266: 1 1 2 3 2 2 3 4 3 3 3 4 3 3 4 5
((loop(\(x,i).((x * 2) + 1),(((x + 2) * (x + 2)) div 2),((x mod 2) + 1)) div 2) + 2)
A209529: 5 25 257 6145 262145 25165825 4294967297 1649267441665 1125899906842625 1729382256910270465 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((((2 + 2) * 2) + x) * 2) * ((2 + 2) + 1)) + 1),x,1) * 2) * 2)
A177114: 4 364 3964 39964 399964 3999964 39999964 399999964 3999999964 39999999964 399999999964 3999999999964 39999999999964 399999999999964 3999999999999964 39999999999999964
(((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * 2) * 2)
A085127: 4 8 12 16 20 24 28 32 36 40 48 56 60 64 72 80
(((((loop(\(x,i).((x * x) + 2),2,((2 + 2) + 1)) * 2) - 1) * (x + 1)) div 2) div 2)
A033171: 365 730 1095 1461 1826 2191 2556 2922 3287 3652 4017 4383 4748 5113 5478 5844
(((((if ((x div 2) - 2) <= 0 then 1 else 0) + ((x + 1) * (2 + 1))) * (x + 1)) div 2) div 2)
A341299: 1 3 7 13 20 28 36 48
(((loop(\(x,i).((1 - (x * 2)) - (x div (2 + 2))),x,(2 + 1)) mod (x + 1)) div 2) div 2)
A116900: 0 0 0 0 1 0 0 0 1 1 1 0 2 0 2 1
(loop(\(x,i).((((((((2 + 1) * 2) + 1) * x) + 1) * 2) + 1) * 2),(x + 1),2) + 2)
A005609: 64 1744 48784 1365904 38245264 1070867344 29984285584 839559996304 23507679896464 658215037100944 18430021038826384 516040589087138704 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,(((((x + 2) * (2 + 1)) + 2) * (x + 1)) div 2)) div 2)
A024391: 10 66 231 595 1275 2415 4186 6786 10440 15400 21945 30381 41041 54285 70500 90100
((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 2)
A076618: 2 3 4 3 6 7 8 3 4 11 12 7 14 15 16 3
(if x <= 0 then 1 else ((((((2 + 1) * 2) + 1) * ((x div 2) + 1)) + ((x + 1) * 2)) + 2))
A132131: 1 13 22 24 33 35 44 46 55 57 66 68 77 79 88 90
(if x <= 0 then 1 else ((((x div (((x mod 2) + 2) + 2)) + (x * 2)) + ((x + 1) div 2)) * 2))
A315339: 1 6 10 16 22 28 32 38 44 48 54 60 66 70 76 82
(((((loop(\(x,i).(((2 + 2) * 2) * (x + 1)),(x + 1),1) - 2) - 1) * 2) * 2) * 2)
A132434: 104 1064 8744 70184 561704 4493864 35951144 287609384 2300875304 18407002664 147256021544 1178048172584 9424385380904 75395083047464 603160664379944 4825285315039784
(((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * 2) * 2) * 2)
A175602: 56 776 7976 79976 799976 7999976 79999976 799999976 7999999976 79999999976 799999999976 7999999999976 79999999999976 799999999999976 7999999999999976 79999999999999976
((((loop(\(x,i).(x * 2),(x - 1),(x + 2)) * (((x + 2) + 2) + 1)) div 2) div 2) div 2)
A128183: 1 2 7 20 54 140 352 864 2080 4928
(((if x <= 0 then 2 else (1 - (((((x - 1) * x) div (2 + 1)) mod (2 + 1)) div 2))) + 2) + 2)
A050815: 6 5 5 4 5 5 5 4 5 5 5 5 4 5 5 5
(if x <= 0 then 1 else (((x mod (((1 - ((x div (2 + 1)) * 2)) div (2 + 1)) - 2)) div 2) + 2))
A072550: 1 1 2 2 1 1 2 1 1 0 1 1 0 1 1 2
(((loop(\(x,i).((x * 2) * 2),x,((((2 + 2) + 1) * x) + (2 + 1))) div 2) div 2) div 2)
A229278: 0 4 26 144 736 3584 16896 77824 352256 1572864 6946816 30408704 132120576 570425344 2449473536 10468982784
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) * 2) * 2)
A240068: 24 32 48 64 96 112 144 160 192 240 256 304 336 352 384 432
(((if x <= 0 then 1 else ((((((2 + 1) * 2) + 1) * x) - (x div (2 + 1))) * 2)) + 2) + 2)
A063125: 5 18 32 44 58 72 84 98 112 124 138 152 164 178 192 204
(loop(\(x,i).(((x div (2 + 1)) + 1) * x),1,((x - ((x mod (2 + 1)) div 2)) + 2)) div 2)
A287195: 1 3 3 5 9 9 12 18 18 22 30 30 35 45 45 51
((((compr(\x.(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod (2 + 2)),x) + 1) * 2) * 2) * 2)
A106841: 8 16 32 40 64 72 80 104 128 136 144 160 168 200 208 232
(if (x mod 2) <= 0 then 1 else (((x mod ((((x * x) div (2 + 2)) mod (x + 1)) + 2)) div 2) + 2))
A089242: 1 2 1 3 1 2 1 2 1 2 1 3 1 2 1 4
compr(\x.((x mod (((2 + 2) * 2) + 1)) - 1),((if x <= 0 then 2 else (((x + 1) div 2) div 2)) div 2))
A288683: 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 9
(((if ((x + 1) mod (2 + 2)) <= 0 then x else (x * 2)) + 1) - ((((x + 1) div 2) div 2) * 2))
A026208-A026184: 1 3 5 2 7 9 11 4 13 15 17 6 19 21 23 8
((((loop(\(x,i).(((x div ((x mod (2 + 1)) + 2)) + x) + 1),x,0) div 2) div 2) div 2) div 2)
A342684: 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 11
((x + 1) div (if x <= 0 then 1 else (((((x - ((x * x) div (2 + 1))) div 2) mod 2) + 2) * 2)))
A212295: 1 0 0 1 0 1 1 1 1 1 2 2 3 3 3 4
(((x mod 2) + 1) mod (if x <= 0 then 1 else ((((x - (((x div 2) - 1) div 2)) div 2) mod 2) + 2)))
A272356: 0 2 1 2 1 0 1 2 1 0 1 0 1 2 1 0
((((loop(\(x,i).(((x div (((2 + 2) * 2) + 1)) + x) + 2),x,1) div 2) div 2) + 2) + 2)
A120205: 4 4 5 5 6 7 7 8 9 10 11 12 14 15 17 19
(if x <= 0 then (x * 2) else (1 - ((((((x div (0 - 2)) * (x - 1)) div 2) div 2) mod 2) * 2)))
A011622: 0 1 ~1 ~1 1 ~1 1 1 ~1 1 1 ~1 ~1 ~1 ~1 1
((((if x <= 0 then 1 else (((((x * 2) * 2) - (x div (0 - 2))) * 2) * 2)) + 2) + 2) + 2)
A063153: 7 26 42 62 78 98 114 134 150 170 186 206 222 242 258 278
((if x <= 0 then 1 else ((x - ((1 - x) div ((((x div (2 + 2)) mod 2) + 2) + 2))) + 2)) + 2)
A131903: 3 5 7 8 9 10 11 13 14 15 17 18 19 20 21 22
((loop(\(x,i).(x * 2),(x - 1),(((((x + 2) + 1) * (x + 2)) div 2) + 2)) div 2) div 2)
A139629: 1 2 6 17
A190050: 1 2 6 17 46 120 304 752 1824 4352 10240 23808 54784 124928 282624 634880
((((loop(\(x,i).(((((2 + 2) * 2) * 2) - x) + 1),x,(x + 2)) div 2) + 2) + 2) + 2)
A122874: 7 13 8 12 9 11 10 10 11 9 12 8 13 7 14 6
(2 div ((if x <= 0 then 0 else (2 - ((x + 1) mod ((x div (((x mod 2) + 2) + 2)) + 2)))) + 2))
A343914: 1 0 0 0 1 0 0 1 0 0 2 0 2 1 0 0
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((x - (x div (1 - ((2 + 2) * 2)))) div 2))
A314148: 1 5 11 16 22 27 33 38 43 49 54 60 65 71 76 81
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 2) * 2) * 2))
A289682: 1 1 2 5 14 10 4 13 6 14 12 2 12 4 8 13
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) * 2) * 2))
A193063-A165132: 2 3 5 7 11 13
A039714: 2 3 5 7 11 13 1 3 7 13 15 5 9 11 15 5
(loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (i + 1)) + x),x,((2 + 2) * 2)) - 2)
A166812: 6 34 118 328 790 1714 3430 6433 11438 19446 31822 50386 77518 116278 170542 245155
((if x <= 0 then 1 else ((((x + 1) * (2 + 1)) - (((x div 2) + x) div (2 + 2))) + 2)) + 2)
A022415: 3 10 13 15 18 21 23 26 28 31 34 36 39 42 44 47
((x + 1) mod ((((if (x mod 2) <= 0 then (x div 2) else (x * 2)) mod ((x + 2) + 2)) + 2) + 2))
A030548: 1 2 3 4 5 1 0 1 1 1 2 1 3 1 4 1
(((loop(\(x,i).((x + 1) * x),1,(((x * x) * (x + 1)) + (x mod 2))) div 2) div 2) + 2)
A175172: 2 5 41 353
(((((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 1) + (x mod 2)) mod (2 + 2)) - 2)
A123737: ~1 0 1 0 ~1 0 ~1 ~2 ~1 0 ~1 0 1 0 ~1 0
((if ((x + 2) mod ((((x div (2 + 2)) mod 2) + 2) + 2)) <= 0 then 2 else 1) + ((2 + 2) * 2))
A118662: 9 9 10 9 9 9 9 9 9 9 10 9 9 10 9 9
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (i + 1)) + x),(x * 2),((2 + 2) * 2))
A053129: 8 120 792 3432 11440 31824 77520 170544 346104 657800 1184040 2035800 3365856 5379616 8347680 12620256
(if x <= 0 then 1 else ((((2 + 1) * x) - ((((x div 2) mod (2 + 2)) + x) div (2 + 2))) * 2))
A315651: 1 6 12 16 22 28 32 38 44 50 56 60 66 72 76 82
(loop(\(x,i).(x * 2),((x div 2) - ((x - 1) div (2 + 1))),1) div ((x mod (2 + 2)) + 2))
A147787: 1 0 0 0 1 0 1 0 2 1 1 0 4 1 2 1
(loop(\(x,i).((((x - 2) * x) * (x - 1)) div (2 + 1)),1,((x * x) div (2 + 2))) div 2)
A217482: 0 0 0 0 4 20 84 220 560 1140 2300 4060 7140 11480 18424 27720
(((((if (x - 1) <= 0 then 0 else (((x + 1) div ((2 + 2) + 1)) + 1)) + x) + 2) + 2) * 2)
A100319: 8 10 14 16 20 22 24 26 28 32 34 36 38 40 44 46
(((loop(\(x,i).(((((2 + 1) * x) + 2) * 2) * 2),2,((2 + 1) * x)) - 2) * 2) * 2)
A157263: 408 2136 3864 5592 7320 9048 10776 12504 14232 15960 17688 19416 21144 22872 24600 26328
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017622: 262144 64000000 1073741824 7256313856 30840979456 98867482624 262144000000 606355001344 1265319018496 2436396322816 4398046511104 7529536000000 12332795428864 19456426971136 29721861554176 44151665987584
((x mod (1 - (x div (1 - (((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)) + 2))))) + 2)
A197862: 2 3 2 5 3 7 2 3 5 11 3 13 7 5 2 17
(((if ((x div (2 + 2)) - (x mod ((2 + 2) + 1))) <= 0 then 1 else 2) + ((x * 2) * 2)) + 2)
A292657: 3 7 11 15 19 24 27 31 35 39 44 48 52 55 59 64
(((x + 2) div (((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 0 else 1) + (x mod 2)) + 2)) div 2)
A070094: 0 0 1 0 1 0 1 1 1 1 2 1 3 1 2 2
loop(\(x,i).((x * 2) * 2),(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),2)
A038533: 2 8 128 512 32768 131072 2097152 8388608 2147483648 8589934592 137438953472 549755813888 35184372088832 140737488355328 2251799813685248 9007199254740992
(loop(\(x,i).(((x - (((x mod 2) - x) * (2 + 2))) * 2) + 1),x,((x mod 2) + 2)) div 2)
A290661: 1 11 101 1111 10111 111111 1011111 11111111 101111111 1111111111 10111111111 111111111111 1011111111111 11111111111111 101111111111111 1111111111111111
((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div ((2 + 2) + 1)) + 1) mod (2 + 2))
A217743: 1 1 1 1 2 1 2 1 3 2 3 1 3 2 0 1
(((x + 1) - (2 - ((if x <= 0 then 1 else x) mod (((2 + 2) * (2 + 1)) - 1)))) mod (2 + 2))
A307193: 0 1 3 1 3 1 3 1 3 1 3 2 0 2 0 2
(loop(\(x,i).((x div (2 + 1)) + x),x,(((2 + 2) * (2 + 1)) * (2 + 1))) div (2 + 2))
A120154: 9 12 16 21 28 37 50 66 88 118 157 209 279 372 496 661
((((2 + 2) * (x - 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) mod (2 + 2))
A119387: 0 0 1 0 2 1 2 0 3 2 3 1 3 2 3 0
(((if (x div 2) <= 0 then (((((x mod 2) * 2) * 2) * 2) + 1) else 1) + (x + 2)) * (2 + 2))
A124351: 12 48 20 24 28 32 36 40 44 48 52 56 60 64 68 72
((loop(\(x,i).((x - (x div ((0 - 2) - 2))) * 2),x,1) + ((x + 1) * x)) mod (2 + 2))
A024713: 1 2 0 2 2 0 2 0 0 2 0 2 2 2 0 0
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((x div 2) mod (2 + 2)) + x) div (2 + 2)))
A315704: 1 6 12 17 23 29 34 40 46 52 58 63 69 75 80 86
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div 2) mod (2 + 2)) + x) div (2 + 2)))
A313561: 1 5 10 14 19 24 28 33 38 43 48 52 57 62 66 71
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div 2) mod (2 + 2)) - x) div (2 + 2)))
A315469: 1 6 11 16 21 26 31 36 42 48 53 58 63 68 73 78
((((if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then 0 else 1) + (x div 2)) + x) + (2 + 2))
A158698: 5 6 8 9 11 12 14 15 17 18 19 20 23 24 26 27
(x - (((if (x mod (x - ((x mod (2 + 1)) + 2))) <= 0 then 0 else 1) + 1) * (x div (2 + 2))))
A280026: 0 1 2 3 3 4 4 5 6 5 6 7 6 7 8 9
((if x <= 0 then 1 else (x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1)))) + (x div (2 + 2)))
A008484: 1 0 0 0 1 1 1 1 2 2 3 3 5 5 7 8
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017322: 4096 7529536 191102976 1544804416 7256313856 24794911296 68719476736 164206490176 351298031616 689869781056 1265319018496 2194972623936 3635215077376 5789336458816 8916100448256
(((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * (2 + 1)) + x) div 2) + 2)
A329486: 2 4 3 8 4 6 5 16 6 8 7 12 8 10 9 32
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) + 2) * 2))
A016963: 16384 10000000 268435456 2494357888 13492928512 52523350144 163840000000 435817657216 1028071702528 2207984167552 4398046511104 8235430000000 14645194571776 24928547056768
((((loop(\(x,i).(((x + 1) div ((2 + 2) + 1)) + (x * 2)),2,x) + 1) + x) div 2) + 2)
A189457: 2 5 8 10 14 17 19 22 25 29 31 34 37 39 43 46
((if x <= 0 then 1 else (((((((x div 2) + 1) div (2 + 1)) * (2 + 1)) div 2) + x) + 2)) + 2)
A080943-A052294: 3 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22
((((if (x - 1) <= 0 then x else ((((x - 1) div ((2 + 2) + 1)) mod 2) + 2)) + x) + 2) + 2)
A047748: 4 6 8 9 10 11 13 14 15 16 17 17 18 19 20 21
((if x <= 0 then 1 else x) mod ((((((x - ((x div (2 + 2)) mod 2)) div 2) + 2) + x) div 2) + 2))
A075011: 1 1 2 3 4 5 6 7 8 0 0 0 1 1 1 1
((if x <= 0 then 1 else ((((x - (2 div (((2 + 2) * 2) - (x div 2)))) div 2) + x) + 2)) + 2)
A185602: 3 5 7 8 10 11 13 14 16 17 19 20 21 23 24 25
(x - ((x - (((loop(\(x,i).(((x * x) * 2) - 1),(x div 2),x) div 2) + x) div 2)) div 2))
A145996: 0 1 2 4 243
loop(\(x,i).(x * x),1,(((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2))
A248928: 4 9 16 16 25 25 36 36 36 49 49 49 64 64 64 64
((if (((((x div 2) + x) div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + ((x + 2) * 2))
A241835: 5 7 9 11 13 15 18 19 21 23 25 27 30 32 33 35
(((1 - (loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2))) div (x + 1)) + ((x + 2) * 2))
A138966: 5 6 7 10 11 14 15 17 19 22 23 26 27 29 31 34
((if x <= 0 then 1 else (((((x mod 2) + x) + 2) * (2 + 1)) - (x div 2))) + ((x + 2) * 2))
A178365: 5 18 19 27 28 36 37 45 46 54 55 63 64 72 73 81
(((if (((x * 2) mod (((2 + 1) * 2) + 1)) - (x mod 2)) <= 0 then 2 else 1) + (x * 2)) * 2)
A287375: 4 6 10 14 18 22 26 32 34 38 42 48 50 54 60 62
(if x <= 0 then 1 else (((((((x div (2 + 1)) mod 2) + x) * 2) div (2 + 1)) + (x * 2)) * 2))
A310525: 1 4 10 16 22 28 32 36 42 48 54 60 64 68 74 80
(if x <= 0 then 1 else ((((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)) + (x * 2)) * 2))
A312555: 1 4 8 14 18 24 28 34 38 42 46 50 56 60 66 70
(if x <= 0 then 1 else ((((((x - ((x div (2 + 2)) mod 2)) div 2) + 1) div 2) + (x * 2)) * 2))
A310370: 1 4 10 14 18 22 26 32 36 40 46 50 54 58 62 68
(if x <= 0 then 1 else ((((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2) + (x * 2)) * 2))
A310371: 1 4 10 14 18 22 28 32 36 40 46 50 54 60 64 68
(if x <= 0 then 1 else (((x div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + (x * 2)) * 2))
A311593: 1 4 8 12 18 22 26 30 36 40 44 48 52 56 60 66
(if x <= 0 then 1 else ((((x - ((x * 2) div (1 - ((2 + 2) * 2)))) div 2) + (x * 2)) * 2))
A315329: 1 6 10 16 22 26 32 36 42 48 52 58 64 68 74 80
(if x <= 0 then 1 else ((((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)) + (x * 2)) * 2))
A311625: 1 4 8 12 18 24 28 32 36 40 44 48 54 60 64 68
(if x <= 0 then 1 else ((((x * 2) div ((((x * 2) * 2) div (x + 2)) + 2)) + (x * 2)) * 2))
A310408: 1 4 10 14 20 24 28 32 38 42 48 52 56 62 66 72
(if x <= 0 then 1 else ((((((((x div 2) mod (2 + 2)) + x) div 2) + x) div 2) + (x * 2)) * 2))
A310530: 1 4 10 16 22 28 34 40 44 48 54 60 66 72 78 84
((if ((x div (2 + 2)) - 2) <= 0 then 1 else ((x + 2) div ((2 + 2) + 1))) + ((x * 2) * 2))
A314668: 1 5 9 13 17 21 25 29 33 37 41 45 50 55 59 63
((if x <= 0 then 1 else (x div (2 - (x div (((2 - x) div (2 + 2)) - 1))))) + ((x * 2) * 2))
A311422: 1 4 8 12 17 21 25 29 33 37 41 46 50 54 58 63
((if x <= 0 then 1 else (((x - ((x div 2) div (2 + 1))) * 2) div (2 + 1))) + ((x * 2) * 2))
A313045: 1 4 9 14 18 23 27 32 36 41 46 50 54 59 64 68
((if x <= 0 then 1 else ((((x - (x div (2 + 2))) div 2) * 2) div (2 + 1))) + ((x * 2) * 2))
A311263: 1 4 8 12 16 21 25 30 34 38 42 46 50 55 59 64
((if x <= 0 then 1 else (((((x div (2 + 1)) mod 2) + x) * 2) div (2 + 1))) + ((x * 2) * 2))
A313110: 1 4 9 14 19 24 28 32 37 42 47 52 56 60 65 70
((if x <= 0 then 1 else ((((x div (2 + 2)) mod (2 + 1)) + x) div (2 + 1))) + ((x * 2) * 2))
A058759: 1 4 8 13
A311924: 1 4 8 13 17 22 26 30 35 39 44 48 52 56 60 65
((x div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311434: 1 4 8 12 17 21 25 29 34 38 42 46 50 54 58 63
(((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311501: 1 4 8 12 17 22 26 30 34 38 42 46 51 56 60 64
(((x * 2) div ((((x * 2) * 2) div (x + 2)) + 2)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312927: 1 4 9 13 18 22 26 30 35 39 44 48 52 57 61 66
(x - ((((((x div 2) div (2 + 1)) mod 2) - x) div 2) - (if x <= 0 then 1 else ((x * 2) * 2))))
A315522: 1 6 11 17 22 28 33 38 44 49 55 60 66 72 77 83
(((((((x div 2) mod (2 + 2)) + x) div 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313115: 1 4 9 14 19 24 29 34 38 42 47 52 57 62 67 72
((((x - (x div ((2 + 2) * (2 + 1)))) div 2) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314149: 1 5 11 16 22 27 33 38 44 49 55 60 65 71 76 82
((((((x div 2) mod (2 + 2)) + x) div (2 + 2)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313875: 1 5 10 16 21 26 32 37 42 47 52 58 63 68 74 79
(((if (x mod (2 + 1)) <= 0 then (((x div (2 + 2)) mod 2) * 2) else 1) + 1) + ((x div 2) mod 2))
A304689: 1 2 3 2 2 2 4 3 2 1 3 3 3 2 3 4
(if x <= 0 then 1 else (((((((x mod 2) * 2) + x) div ((2 + 2) + 1)) + 1) * (x mod 2)) * 2))
A082519: 1 2 0 4 0 4 0 4 0 6 0 6 0 8 0 8
((((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 2))) * (2 + 1)) - (x mod 2)) div 2)
A061901: 1 1 1 1 1 1 1 1 1 1 3 2 4 4 4 4
(((x div ((x mod 2) + 2)) + 1) mod loop(\(x,i).((2 + 1) * x),((x div 2) - (x mod 2)),2))
A291273: 1 1 2 0 3 2 4 3 5 4 6 4 7 5 8 6
((if (2 - x) <= 0 then ((((0 - x) * (x div 2)) div 2) mod (2 + 1)) else 1) mod ((x mod 2) + 2))
A085491: 1 1 0 1 0 1 0 1 0 0 0 2 0 0 0 1
((if (x mod (2 + 2)) <= 0 then ((1 - (x div (2 + 1))) mod (2 + 1)) else 1) - ((x mod 2) * 2))
A323191: 1 ~1 1 ~1 0 ~1 1 ~1 2 ~1 1 ~1 0 ~1 1 ~1
loop(\(x,i).(x - ((x div (((1 - ((x div (2 + 1)) * 2)) div (2 + 1)) - 1)) - 1)),x,2)
A088907: 2 5 9 13 18 23 28 33 39 44 50 56 62 68 74 80
((loop(\(x,i).(x * x),1,(x - ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))) + x) + 2)
A073104: 1523 1447 1373 1301 1231 1163 1097 1033 971 911 853 797 743 691 641
(((if (x - 1) <= 0 then 1 else (((x * 2) - ((x - 2) mod ((2 + 2) + 1))) + 1)) + x) div 2)
A326754: 0 1 3 4 5 6 7 11 12 13 14 15 18 19 20 21
(2 div (((if (x mod 2) <= 0 then (2 - (((x + 1) * x) mod ((2 + 2) * 2))) else 1) * x) + 2))
A091069: 1 0 ~1 0 ~1 0 1 0 0 0 ~1 0 ~1 0 1 0
((((((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1) * 2) div ((2 + 2) + 1)) + x) + 2)
A284934: 2 3 5 6 8 9 11 13 14 15 17 18 20 21 22 24
((((((((x - 1) div 2) div 2) * (if x <= 0 then 1 else x)) div 2) div ((2 + 2) + 1)) + x) + 2)
A234321: 1 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) + 1) * x) + 2))
A016879: 128 823543 35831808 410338673 2494357888 10460353203 34359738368 94931877133 230539333248 506623120463 1028071702528 1954897493193 3521614606208 6060711605323 10030613004288 16048523266853
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((((2 + 2) + 1) * x) + 2))
A053368: 2 7 24 85 308 1134 4224 15873 60060 228514 873392 3350802 12896744 49774300 192559680 746503065
(if x <= 0 then 1 else (compr(\x.(1 - (x mod (1 - (x div (((2 - x) div (2 + 2)) - 1))))),x) + 2))
A231407: 1 4 6
A079000: 1 4 6 7 8 9 11 13 15 16 17 18 19 20 21 23
((((((loop(\(x,i).(((x div 2) + x) + 1),(x - 2),0) * x) div 2) div 2) + 1) + x) div 2)
A077373: 0 1 1 2 3 5 8 13 21 34 55 89
((((((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else 2) + 2) + 2) * (2 + 1)) + x) + 2)
A297287-A296757: 17 18 19 20 21 22 23 24 25 26 27 28 29 33 34 35
loop(\(x,i).(((((x div 2) mod (2 + 1)) + x) mod (2 + 2)) + ((x * 2) * (2 + 1))),x,2)
A037627: 2 15 90 542 3255 19530 117182 703095 4218570 25311422 151868535 911211210 5467267262 32803603575 196821621450 1180929728702
((loop(\(x,i).((i + 2) * x),(((2 + 1) * x) + 2),1) div 2) div (((2 + 1) * x) + 2))
A028918: 3 252 113400 141523200 373621248000 1788898535424000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 - (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x - 2),(1 - x)) div 2))
A052473: 2 2 3 3 5 12 37 128 464 1718 6437 24312 92380 352718 1352080 5200302
(((compr(\x.((x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) mod 2),x) + 1) + x) div 2)
A138083: 0 1 2 4 5 6
A330330: 0 1 2 4 5 6 8 10 11 13 14 15 16 17 20 22
(((((((if (x mod (2 + 2)) <= 0 then 1 else 2) + x) div (2 + 1)) + 1) mod (x + 1)) + x) + 2)
A028757: 2 3 6 7 8 10 11 13 14 15 17 18 19 21 22 23
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) * (x + 1)) + x) * 2))
A017370: 262144 34012224 481890304 3010936384 12230590464 38068692544 98867482624 225199600704 464404086784 885842380864 1586874322944 2699554153024 4398046511104 6906762437184 10509215371264
loop(\(x,i).(((((x * 2) * 2) * 2) + 1) * ((x mod 2) + 1)),1,(((x + 1) * x) div 2))
A222740: 1 18 50 49 81 242 338 225 289 722 882 529 625 1458 1682 961
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,2) - ((x - 1) * x)) div 2)
A289451: 1 1 1 2 8 32 117 408 1402 4826 16751
((loop(\(x,i).(((((((x mod 2) * 2) * 2) * 2) + 1) * (i + 1)) + x),x,1) + x) div 2)
A175403: 0 10 24 26 29
(loop(\(x,i).((x - (((((x mod 2) - x) - 2) * (2 + 1)) * (2 + 1))) - 1),2,x) div 2)
A044040-A043260-A039437: 89 98 189 198 289 298 389 398 489 498 589 598 689 698 789 798
((((x * 2) - 1) mod loop(\(x,i).(((((i mod 2) + x) * 2) div (2 + 1)) + 1),2,x)) div 2)
A332998: 0 0 0 1 0 0 1 1 0 1 0 0 1 2 1 2
(((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + x) + 2)
A335876: 2 3 4 6 6 8 8 12 12 12 12 16 14 16 18 24
((((((((if (2 - x) <= 0 then x else 2) + 2) * (x + 1)) div 2) * (2 + 1)) div 2) + x) div 2)
A024403: 1 3 5 9 13 18 24 30 37 45 54 64 74 85 97 109
(((((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) * (2 + 1)) div 2) + x) + 2)
A284885: 2 3 5 6 7 8 11 12 14 15 16 17 20 21 22 23
(loop(\(x,i).(((((((2 + 2) + 1) * 2) * 2) * ((x div 2) + 1)) + x) - 1),2,x) div 2)
A039492: 109 119 230 240 351 361 472 482 593 603 714 724 835 845 956 966
(((if x <= 0 then 1 else ((((((((x div 2) + x) + 1) * 2) * 2) + x) + 1) * 2)) + x) + 2)
A319976: 3 23 42 53
(((((if ((x div 2) mod (2 + 1)) <= 0 then 1 else 2) + ((x div (0 - 2)) mod 2)) + 2) + x) div 2)
A241151: 1 2 3 3 4 5 5 5 6 7 7 7 7 8 9 9
((((((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 2) * 2) * 2) + x) + 2)
A210652: 10 15 20 25 30 35 40 45 50 51 52 53 54 55 56 57
(if x <= 0 then 1 else (((x div ((((((x div 2) + 1) div 2) mod (2 + 2)) + 2) * 2)) + x) + 2))
A026469: 1 3 4 5 6 7 8 9 11 12 13 14 15 16 19 20
((((((loop(\(x,i).((x * x) * x),1,((x + 2) + 1)) * x) + 2) div 2) + 2) - x) * 2)
A152390: 6 68 252 648 1370 2556 4368 6992 10638 15540 21956 30168 40482 53228 68760 87456
(x - ((2 - (if x <= 0 then 2 else (((((x * x) div (2 + 1)) + x) div (2 + 2)) + x))) div 2))
A278453: 0 1 2 4 6 8 10 12 15 17 19 22 25 27 30 33
(loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),x,(((x + 2) * 2) + x)) - 2)
A162927: 2 823541 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((if (x mod 2) <= 0 then (x div 2) else (x * 2)) * ((2 + 2) + 1)) + x) + 2) * x) + 2)
A143660: 2 15 20 107
loop(\(x,i).((((x * 2) + 1) mod ((2 + 2) + 1)) + ((((2 + 2) + 1) * x) * 2)),x,2)
A037722: 2 20 201 2013 20132 201320 2013201 20132013 201320132 2013201320 20132013201 201320132013 2013201320132 20132013201320 201320132013201 2013201320132013
((((((((if (x mod (2 + 1)) <= 0 then 0 else 2) + x) * 2) div (x + 1)) + x) div 2) + x) + 2)
A050103: 2 5 6 7 9 10 11 13 15 16 18 19 20 22 24 25
(if x <= 0 then 1 else (((((((x - (x div (2 + 1))) mod (2 + 1)) div 2) + x) div 2) + x) + 2))
A060462: 1 3 5 7 8 9 11 13 14 15 17 19 20 21 23 24
(loop(\(x,i).((x * x) * x),(x * 2),((((((x + 2) * 2) * 2) + x) * 2) + x)) + 2)
A271975: 18 7625597484989 4611686018427387903
(((((if (x - (2 + 2)) <= 0 then 1 else ((1 - x) div ((x div 2) + 2))) + x) div 2) + x) + 2)
A215069: 2 4 5 7 8 9 10 11 13 14 16 17 19 20 22 23
(loop(\(x,i).(((((2 + 2) * (x + 1)) * (2 + 1)) + x) * 2),2,((x + 2) * x)) + 2)
A158639: 650 2678 6058 10790 16874 24310 33098 43238 54730 67574 81770 97318 114218 132470 152074 173030
(loop(\(x,i).((((((2 + 2) * 2) * 2) * (x + 1)) + x) * 2),2,((x + 2) * x)) + 2)
A158729: 1122 4590 10370 18462 28866 41582 56610 73950 93602 115566 139842 166430 195330 226542 260066 295902
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),(x + 1)) * (((x + 2) * x) + 2))
A128051: 14 490 10290 163268 2184910 26118078 288240050 2997696520 29780961966 285300001490 2653572489106 24083839729740 214124712999470 1870539234917542 16094233518706770 136653810502199312
loop(\(x,i).(((2 + 2) * (x - 1)) * (((2 + 2) * 2) + 1)),2,(((x + 2) * x) + 2))
A158737: 1260 5148 11628 20700 32364 46620 63468 82908 104940 129564 156780 186588 218988 253980 291564 331740
(loop(\(x,i).((((x + 2) * x) + ((x mod 2) * 2)) + 1),(x - 1),((x mod 2) + x)) * 2)
A342467: 0 4 18 1356
((((if (x mod (((2 + 2) mod (x + 2)) + 2)) <= 0 then 2 else 0) * (2 + 1)) + 1) mod (x + 2))
A157964: 1 1 3 1 1 1 7 1 1 1 1 1 7 1 1 1
((((x + 1) mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * (2 + 1))) + 1) mod (x + 2))
A024865: 0 0 1 2 3 0 0 0 1 2 3 4 5 6 7 8
((loop(\(x,i).(((x - 1) * x) div 2),2,(((x + 1) div 2) + 1)) div (2 + 1)) div (x + 2))
A325695: 0 0 0 0 0 0 0 1 1 3 2 5 5 8 7 12
(loop(\(x,i).(((((x * 2) * 2) div (i + 1)) + (i + x)) + (i + 1)),x,1) - (x + 2))
A014309: ~1 3 15 40 84 154 258 405 605 869 1209 1638 2170 2820 3604 4539
(((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + ((2 + 2) * 2)) * (x + 1)) div (x + 2))
A133576: 4 6 8 9 10 12 14 15 16 17 18 19 20 21 22 23
(if x <= 0 then 1 else (2 - ((x mod 2) - (((x * x) mod (x - ((2 - x) div 2))) div (x + 2)))))
A082477: 1 1 2 1 2 1 2 2 2 1 2 1 2 2 3 1
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((x * x) + 2)) div (x + 2))
A344191: 1 1 3 11 42 162 627 2431 9438 36686 142766 556206 2169268 8469060 33096195 129454695
((if x <= 0 then 1 else (x - ((((0 - x) * x) * (2 + 1)) div ((2 + 2) + 1)))) + (x * 2))
A022948-A022945-A022443: 1 4 9 15 22 30 40 51 63 76 90 106 123 141 160 180
((((if x <= 0 then 1 else (x * 2)) - (((x div 2) + x) div (2 + 2))) * (2 + 1)) + (x * 2))
A188012: 3 8 16 21 29 37 42 50 55 63 71 76 84 92 97 105
(loop(\(x,i).((i + x) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))),x,1) + (x * 2))
A002004: 1 4 8 12 17 22 27 32 37 42 47 53 58 64 69 75
((((x - 1) div ((x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 2)) + 1)) mod 2) + (x * 2))
A231408: 1 2 4 6 9
A227132: 1 2 4 6 9 11 12 15 17 18 21 23 24 27 29 31
loop(\(x,i).((((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2) + x) + 1),2,(x * 2))
A189752: 2 6 9 12 15 19 21 25 28 32 35 38 42 44 48 51
((((loop(\(x,i).((((2 + 1) * 2) + 1) * i),(x - 1),x) * x) + 1) + x) + (x * 2))
A339623: 1 5 21 52 97 156 229 316 417 532 661 804 961 1132 1317 1516
loop(\(x,i).(1 - ((((2 - x) div ((x div ((2 + 2) + 1)) + 2)) mod 2) * 2)),x,(x * 2))
A011619: 0 1 ~1 1 1 1 ~1 ~1 ~1 1 ~1 1 1 1 1 1
(((if x <= 0 then 1 else compr(\x.(((x mod (2 + 1)) * x) mod ((2 + 2) + 1)),x)) + x) + (x * 2))
A315423: 1 6 11 15 21 25 30 36 42 47 51 57 61 66 72 78
((((loop(\(x,i).((x div ((i + 2) * (i + 1))) + x),2,x) + 1) + x) + x) + (x * 2))
A315470: 1 6 11 16 21 26 32 37 42 47 52 58 64 69 74 79
((if x <= 0 then 1 else ((x div (1 - ((2 + 2) * 2))) + ((x * 2) * (2 + 1)))) - (x div 2))
A313892: 1 5 10 16 21 27 32 38 42 48 53 59 64 70 75 80
(((x - (if (x mod (((x * 2) mod ((x div 2) + 2)) + 2)) <= 0 then 1 else 0)) mod 2) + (x div 2))
A305845: 1 1 1 2 3 3 3 4 4 5 5 6 7 7 7 7
(((if x <= 0 then 2 else (x - ((((x * x) div 2) - 1) div ((2 + 2) + 1)))) div 2) + (x div 2))
A260254: 1 1 2 2 3 3 4 4 5 5 5 5 5 4 4 3
(((((x - (x div ((x mod (2 + 2)) + 1))) mod 2) + (if x <= 0 then 1 else 2)) + x) + (x div 2))
A174047: 1 4 5 7 8 10 11 12 14 16 18 19 20 22 23 24
((((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + 1),x,1) div 2) div 2) + 1) - (x mod 2))
A239948: 1 0 1 1 2 1 3 2 4 4 6 6 9 9 12 14
(((x - (if ((((x * 2) + 1) * 2) mod ((x div 2) + 2)) <= 0 then 1 else 0)) mod 2) - (x mod 2))
A244525: 1 ~1 0 0 0 0 0 ~1 0 0 1 0 0 0 0 0
((((if (((x + 1) mod ((2 + 2) * 2)) - (2 + 2)) <= 0 then 1 else 0) + 1) * 2) - (x mod 2))
A106049: 4 3 4 3 2 1 2 3 4 3 4 3 2 1 2 3
((if ((x + 1) mod ((x mod ((((x mod 2) + 2) * 2) + 1)) + 1)) <= 0 then 1 else 2) + (x mod 2))
A271721: 1 2 1 2 1 2 2 2 2 3 1 3 2 2 1 2
((((loop(\(x,i).((0 - x) * 2),x,1) mod (((2 + 1) * 2) + 1)) - 1) * 2) - (x mod 2))
A021017: 0 7 6 9 2 3 0 7 6 9 2 3 0 7 6 9
((loop(\(x,i).(((x - 1) * x) div 2),(x - 1),((x mod (2 + 1)) + 1)) * 2) * (x mod 2))
A297968: 0 4 0 0 0 6 0 0 0 0 0 6 0 0 0 0
(x div ((((loop(\(x,i).((x * 2) * 2),(x div 2),2) - 1) mod (x + 1)) + 2) + (x mod 2)))
A285725: 0 0 0 0 1 1 2 0 0 2 3 1 4 3 1 0
(((loop(\(x,i).(x * 2),(x - 1),((x * 2) mod (2 + 1))) mod (x + 1)) div 2) + (x mod 2))
A119612: 0 1 1 1 0 3 0 1 1 1 0 3 0 2 1 1
((((x - (if ((x div (2 + 1)) mod ((2 + 2) + 1)) <= 0 then 0 else 1)) mod 2) * 2) + (x mod 2))
A307195: 0 3 0 1 2 1 2 1 2 1 2 1 2 1 2 3
((((if (((x - 1) div 2) mod (2 + 1)) <= 0 then 1 else x) mod ((2 + 1) * 2)) * 2) - (x mod 2))
A192225: 0 1 2 5
A131716: 0 1 2 5 8 9 0 1 2 5 8 9 0 1 2 5
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),((x + 1) div 2)) + 2) + (x mod 2))
A308598: 2 4 3 6 5 8 7 12 11 14 13 18 17 20 19 24
((x div ((x div ((if (x mod 2) <= 0 then ((x mod (2 + 1)) div 2) else 2) + 2)) + 2)) + (x mod 2))
A280363: 0 1 1 2 1 2 1 3 2 3 1 3 1 3 2 4
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),x) div (2 - (x mod 2)))
A037952: 0 1 1 3 4 10 15 35 56 126 210 462 792 1716 3003 6435
((((if x <= 0 then 1 else ((((x * 2) - (x div (2 + 1))) * 2) * 2)) + x) + 2) + (x mod 2))
A063244: 3 12 20 26 34 44 48 58 66 72 80 90 94 104 112 118
(((if x <= 0 then 1 else (x - (((x - ((x * x) div (2 + 2))) div 2) div 2))) + x) + (x mod 2))
A282166: 1 3 4 7 8 12 13 17 18 22 24 28 30 35 37 42
(((((loop(\(x,i).((((i + 2) * 2) * (i - 1)) + x),x,0) * 2) + 1) + x) * x) div 2)
A302710: 0 1 19 90 266 615 1221 2184 3620 5661 8455 12166 16974 23075 30681 40020
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,((2 + 1) * x)) * x) div 2)
A220101: 0 1 6 27 112 450 1782 7007 27456 107406 419900 1641486 6418656 25110020 98285670 384942375
((loop(\(x,i).(((((x + 1) * x) div (2 + 2)) div ((2 + 2) + 1)) + 1),2,x) + x) * 2)
A118081: 2 4 6 8 10 12 14 16 20 22 26 28 32 38
(((if (x - 1) <= 0 then 2 else ((((x + 1) div (((2 + 1) * 2) + 1)) * 2) + x)) + x) - 2)
A328593: 0 1 2 4 6 8 12 14 16 18 20 22 24 28 30 32
((loop(\(x,i).((((((x * 2) * 2) * 2) div (x + 2)) + x) + (2 + 1)),2,x) + x) div 2)
A230457: 5 8 10 11 12 13 15 16 17 18 19 20 21 22 24 25
((loop(\(x,i).(((x - (x div ((((x div 2) mod 2) - 2) - 2))) div 2) + 2),2,x) + x) - 2)
A092253: 1 3 4 5 6 8 10 12
A288597: 1 3 4 5 6 8 10 12 13 14 16 17 18 20 21 22
(((if x <= 0 then 1 else ((1 - ((x + 1) mod (((x + 1) mod (2 + 2)) + 2))) + x)) + x) + 2)
A128036: 3 3 4 9 9 11 13 17 19
(1 - (((1 - loop(\(x,i).i,(2 - (((x mod (2 + 2)) + (x div 2)) div 2)),x)) * x) div 2))
A305333: 1 2 1 4 1 1 16
((if (x - 1) <= 0 then 1 else ((x * 2) - ((x + 1) div ((2 + 2) + 1)))) * ((x * x) + 2))
A057665: 2 3 24 66 126
((2 - (((x mod ((2 + 2) * 2)) + 1) mod ((if x <= 0 then 1 else x) + 1))) + ((x * x) div 2))
A115065: 1 2 4 6 10 14 20 26 33 40 49 58 69 80 93 106
(loop(\(x,i).(((x * x) * x) * ((x * x) + 1)),1,(((x * x) * x) * (x * x))) div 2)
A283029: 0 1 16793600 423651479175 562950490292224 149011627197265625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((1 - ((((1 - x) * x) mod (((x div 2) + 2) + 1)) mod 2)) + x),x,x) div 2)
A305117: 0 1 2 2 2 4 4 4 4 4 6 6 6 8 8 8
((((if x <= 0 then 2 else (((x div (((x div 2) div (2 + 1)) + 2)) mod 2) + x)) + x) + x) div 2)
A099467: 1 1 3 5 6 7 9 10 12 14 15 17 18 20 21 23
((loop(\(x,i).(((((x * x) * (x * x)) + 1) * x) * (x * x)),1,(x * x)) * x) div 2)
A168665: 0 1 16448 7175547 536879104 15258828125 235092632256 2373781166743 17592187092992 102945568438809 500000005000000 2088624094451411 7703510805209088 25592946538419637 77784047831612864
((loop(\(x,i).((x + 1) * x),1,((((x * x) * x) * (x * x)) * (x * x))) * x) div 2)
A170779: 0 1 16512 7177734 536903680 15258984375 235093332096 2373783637372 17592194433024 102945587570685 500000050000000 2088624191887266 7703511002284032 25592946914910739 77784048516800640
(((x mod (if (((x div 2) + x) mod ((2 + 2) + 1)) <= 0 then ((2 + 1) * 2) else 1)) + 1) + x)
A300903: 1 2 3 4 5 6 7 9 9 10 15 12 13 14 15 16
((((if ((x mod ((x mod (2 + 1)) + 2)) - 2) <= 0 then 2 else 0) * ((2 + 2) + 1)) + 1) * x)
A109052: 0 11 22 33 44 55 66 77 88 99 110 11 132 143 154 165
((if (x - 1) <= 0 then 2 else (((((x + 2) * (x + 2)) div 2) div ((2 + 2) + 1)) + 1)) + x)
A214780: 2 3 4 6 8 10 13 16 19 22 25 28 32 36 40 44
(loop(\(x,i).(x * 2),((x - (x div (((x div 2) div (2 + 1)) + 1))) div (2 + 1)),1) + x)
A031143: 1 2 3 4 5 6 8 9 10 11 12 15 16 21 22 23
((if x <= 0 then 1 else (x - (((1 - x) * x) div ((((2 + 1) * 2) * (2 + 1)) + 1)))) - x)
A140953-A046676-A000607: 1 0 1 1 1 2 2 3 3 4 5 6 7 9 10 12
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((((2 + 2) * 2) * (x + 1)) + 1),x)
A068538: 111111111 111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.((1 - x) mod (((x div 2) mod ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) + 1)),x)
A100991-A075821: 0 1 3 4 7 8 9 11 12 13 16 17 19 21 23 24
compr(\x.(1 - (x mod ((((x * 2) mod ((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1)) * 2) + 1))),x)
A013660: 1 2 5 7 11
A113543: 1 2 5 7 11 13 14 17 19 22 23 26 29 31 34 35
((if x <= 0 then 1 else (x - ((0 - ((x * x) div (2 + 1))) div (((2 + 1) * 2) + 1)))) - x)
A140952: 1 0 1 1 1 2 2 3 3 4 5 6 7 8 10 11
loop(\(x,i).(((2 + 2) * (x + 1)) - 1),2,(((x div 2) div (((2 + 1) * 2) + 1)) + x))
A044457: 15 31 47 63 79 95 111 127 143 159 175 191 207 223 255 271
loop(\(x,i).((((x + 2) + 2) * (x + 2)) * (x + 1)),1,((((2 + 1) * 2) + 1) * x))
A001547: 8 792 4320 12650 27840 51948 87032 135150 198360 278720 378288 499122 643280 812820 1009800 1236278
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 1) * 2) + 1) * x))
A016987: 0 823543 105413504 1801088541 13492928512 64339296875 230539333248 678223072849 1727094849536 3938980639167 8235430000000 16048523266853 29509034655744 51676101935731
((((((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + 2) + (x mod (2 + 1))) * 2) + 1) - x)
A114514: 7 8 9 4 5 6 1 2 3 0
(((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else 2) * ((((x + 1) div 2) div 2) + 1)) + x)
A037459: 1 2 3 5 6 7 8 10 11 12 13 15 16 17 18 25
((((if (((x div 2) - 2) - 2) <= 0 then 0 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004860: 0 1 2 3 4 5 6 7 8 9 64 65 66 67 68 69
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017453: 3125 1048576 14348907 79235168 282475249 777600000 1804229351 3707398432 6956883693 12166529024 20113571875 31757969376 48261724457 71008211968 101621504799 141985700000
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017513: 100000 4084101 33554432 147008443 459165024 1160290625 2535525376 4984209207 9039207968 15386239549 24883200000 38579489651 57735339232 83841135993 118636749824 164130859375
((if (x mod 2) <= 0 then 1 else ((x * 2) mod ((x div (2 + 2)) + 1))) + (((2 + 2) + 1) * x))
A137002: 1 5 11 15
A314038: 1 5 11 15 21 25 31 35 41 45 51 56 61 67 71 77
((1 - ((1 - ((((if (x - 2) <= 0 then 0 else 2) * 2) * 2) + x)) div ((2 + 2) + 1))) + x)
A263800: 1 2 4 6 8 9 10
A168496: 1 2 4 6 8 9 10 11 12 14 15 16 17 18 20 21
(((if (x - 2) <= 0 then 1 else (((x div 2) div (2 + 1)) + 2)) + (x div ((2 + 2) + 1))) + x)
A187319: 1 2 3 5 6 8 10 11 12 13 15 16 18 19 20 22
((if (2 - x) <= 0 then ((((((x + 2) * x) div ((2 + 2) * 2)) + x) div 2) + 2) else 1) - x)
A217569: 1 0 1 1 1 1 2 2 3 3 4 5 6 7 9 10
compr(\x.((x + 1) mod ((x mod ((loop(\(x,i).((i * i) + x),x,0) mod (x + 2)) + 2)) + 1)),x)
A067570: 0 1 2 3 4 5 7
A328668: 0 1 2 3 4 5 7 8 9 11 15 16 17 19 21 23
((x - (((x * x) div ((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) + 2)) - 1)) + x)
A225647: 1 3 4 6 7
A114316: 1 3 4 6 7 8 9 10 11 12 14 15 16 18 19 20
compr(\x.(1 - (x mod ((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) - (x mod 2)) * 2) + 1))),x)
A276706: 1 2 4 5 6 7 8 10 14 16 20 22 26 28 32 34
(((if ((x div ((x div ((x mod 2) + 2)) + 1)) mod 2) <= 0 then (x - 1) else 1) mod (2 + 1)) + x)
A114010: 2 2 3 4 5 6 7 7 9 11 11 12 13 13 15 17
compr(\x.(((((if (x mod ((2 + 2) + 1)) <= 0 then 1 else 2) * x) mod (2 + 2)) + 1) mod (2 + 1)),x)
A241662: 1 3 7 9 10 11 13 17 19 21 23 27 29 30 31 33
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) * 2) + 1) * (2 + 1)) - x))
A017429: 243 537824 9765625 60466176 229345007 656356768 1564031349 3276800000 6240321451 11040808032 18424351793 29316250624 44840334375 66338290976 95388992557 133827821568
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * (2 + 1)) + x))
A017022: 729 1000000 24137569 191102976 887503681 3010936384 8303765625 19770609664 42180533641 82653950016 151334226289 262144000000 433626201009 689869781056 1061520150601 1586874322944
(((((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + (x + 1)) * (2 + 1)) - x)
A190551: 3 8 13 15 20 25 27 32 37 39 44 49 54 56 61 66
compr(\x.(((x mod (((if (x mod ((2 + 1) * 2)) <= 0 then 2 else 1) * 2) + 1)) + 2) mod (2 + 1)),x)
A231407: 1 4 6
A277572: 1 4 6 7 10 13 16 19 22 24 25 28 31 34 36 37
loop(\(x,i).((x - (((x div ((2 + 2) + 1)) mod 2) * ((2 + 2) + 1))) * 2),(2 + 1),x)
A059631: 0 8 6 4 2 0 8 6 4 2 80 88 86 84 82 80
((if x <= 0 then 1 else (((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (2 + 1))) + x)
A329717: 1 1 2 3 4 8 6 7 8 12 10 14 12 16 17 15
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - x))
A017465: 7776 1419857 17210368 90224199 312500000 844596301 1934917632 3939040643 7339040224 12762815625 21003416576 33038369407 50049003168 73439775749 104857600000 146211169851
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) + x))
A017058: 46656 4826809 64000000 387420489 1544804416 4750104241 12230590464 27680640625 56800235584 107918163081 192699928576 326940373369 531441000000 832972004929 1265319018496 1870414552161
((if x <= 0 then 1 else ((((((x - 2) * x) div (2 + 2)) * (x - 1)) div 2) div (2 + 1))) + x)
A330640: 1 1 2 3 5 7 11 15 22 29 40 51 67 83 105 127
((((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) + 1) * 2) * 2) div (2 + 1)) + x)
A324470: 1 3 4 7 8 10 11 12 14 15 18 19 21 22 24 25
compr(\x.(loop(\(x,i).((((x div (2 + 2)) * 2) + x) + 1),(x div (2 + 2)),2) mod (2 + 1)),x)
A161627: 4 5 6 7 20 21 22 23 28 29 30 31 36 37 38 39
((((2 - x) mod ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) + 1) + ((2 + 1) * x))
A332075: 3 5 7 11 13 17 19 23 25 29 31 35 37 41 43 49
loop(\(x,i).(1 - (((x * 2) * 2) * (2 + 1))),(((((2 + 2) + 1) * x) * 2) + 1),x)
A015421: 1 ~685853880635 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - ((((2 + 2) + 1) * x) * 2)),(((((2 + 2) + 1) * x) * 2) + 1),x)
A015417: 1 ~90909090909 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((((if (x mod 2) <= 0 then (x div 2) else 2) + x) div (2 + 2)) + 1) + x) div 2) + 1) + x)
A187474: 1 3 4 6 8 9 11 13 15 16 18 19 21 22 25 26
compr(\x.(x - ((loop(\(x,i).(((2 + 2) + 1) * x),x,2) mod (((2 + 1) * x) + 2)) - 1)),x)
A154663: 3 5 6 7 10 11
A232682: 3 5 6 7 10 11 12 13 14 15 17 19 20 22 23 24
(((loop(\(x,i).(((x - 1) * x) div 2),(2 + 1),(x - 2)) * x) div ((x + 2) + 1)) + x)
A084811: 0 1 2 3 4 6 76
((if x <= 0 then 1 else (((x * 2) * 2) - (1 - ((x - 2) mod ((2 - (x mod 2)) + 1))))) + x)
A095948: 1 5 9 15 21
A315075: 1 5 9 15 21 25 30 35 39 45 51 55 60 65 69 75
(loop(\(x,i).(i - ((0 - ((((x * 2) * 2) * 2) * (2 + 1))) div (x + 1))),x,1) - x)
A101104: 1 12 23 24 24 24 24 24 24 24 24 24 24 24 24 24
((loop(\(x,i).((2 + 1) * x),((((x * 2) div (2 + 1)) * 2) - 1),1) * (x + 1)) + x)
A136985: 1 3 11 111 139
compr(\x.(loop(\(x,i).(x * x),2,((((x mod 2) * 2) * 2) - (x mod (2 + 1)))) mod (x + 1)),x)
A256882: 0 3 6 12 15 18 24 30 36 42 48 54 60 63 66 72
(((if x <= 0 then 1 else ((x * 2) * 2)) - (2 div ((((2 + 2) * 2) * 2) div (x + 1)))) + x)
A313720: 1 5 10 15 20 24 29 34 38 43 48 53 58 63 68 73
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) + x))
A017262: 262144 24137569 308915776 1838265625 7256313856 22164361129 56800235584 128100283921 262144000000 496981290961 885842380864 1500730351849 2436396322816 3814697265625 5789336458816
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((2 + 2) * (x + 1)) + x))
A016903: 16384 4782969 105413504 893871739 4586471424 17249876309 52523350144 137231006679 319277809664 678223072849 1338925209984 2488651484819 4398046511104 7446353252589 12151280273024
(((x - ((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x))) + 1) + ((x + 1) * x))
A194148: 1 4 9 16 25 36 49 64 81 100 121 143 167 193 221 251
(loop(\(x,i).(x - ((((x - 1) * x) div 2) div ((x + 2) + 1))),(2 + 1),(x - 1)) - x)
A194260: ~1 ~1 ~1 ~1 ~1 ~1 ~2 ~3 ~4 ~5 ~6 ~7 ~7 ~8 ~9 ~10
(((x mod (((2 + 2) * (2 + 1)) - 1)) * (((2 + 2) * 2) + 1)) mod (if x <= 0 then 1 else x))
A061467: 0 0 0 0 0 0 0 0 0 0 0 0 9 5 13 6
(((1 - (if (((x div (2 + 1)) + 1) mod (2 + 2)) <= 0 then (x mod (2 + 1)) else 1)) * 2) + x)
A330091-A329303: 0 1 2 3 4 5 6 7 8 11 10 9 12 13 14 15
(((x - (loop(\(x,i).((x - 2) * (2 + 1)),x,0) div (((2 + 1) * 2) + 1))) div 2) - x)
A178704: 0 0 1 4 15 49 153 465 1402 4213 12648 37954 113874 341634 1024915 3074758
compr(\x.((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else (x + 1)) mod (((2 + 2) + 1) * 2)),x)
A092457: 0 9 18 19 27 29 36 39 45 49 54 59 63 69 72 79
((if x <= 0 then 1 else (x - ((x - (((1 - (x div 2)) div (2 + 1)) mod (2 + 1))) div 2))) + x)
A168543: 1 2 3 5 7 9 10 12 13 15 16 17 19 20 22 23
loop(\(x,i).(((((x - ((1 - (x * 2)) * 2)) * x) * (x + 1)) div 2) div (2 + 1)),2,x)
A329756: 0 1 456 14976 181780 1273970 6293756 24395756 79119496 223821235 568280240 1321714636 2858876956 5817509516 11237224740 20751835560
((x - ((((if (x mod (((x - 1) mod (2 + 1)) + 2)) <= 0 then x else 0) + 1) div 2) div 2)) + x)
A198033: 0 2 4 6 7 10 12 14 16 18 18 22 21 26 28 30
loop(\(x,i).((((x + 1) div 2) - (((2 - x) + 1) div (((2 + 2) * 2) + 1))) + 2),2,x)
A205837: 3 4 4 5 6 6 6 7 7 7 7 8 8 9 9 9
((((x - ((if ((x div 2) - 2) <= 0 then 2 else (x - 2)) mod ((2 + 2) + 1))) div 2) + 2) + x)
A183544: 1 2 4 5 7 8 9 12 13 14 15 16 20 21 22 23
loop(\(x,i).(((x - (((x + 1) * 2) div (((0 - 2) - 2) - 1))) * (2 + 1)) div 2),2,x)
A151875: 3 7 13 16 19 27
((((x - ((x div 2) - ((if ((x div 2) - 2) <= 0 then 1 else 2) * (2 + 1)))) div 2) * 2) + x)
A028726: 2 5 6 7 8 11
A283974: 2 5 6 7 8 11 14 17 18 19 20 23 24 25 26 29
loop(\(x,i).(((x * x) * x) * (x * x)),1,(((((x * 2) * (2 + 1)) + 2) * 2) - x))
A017441: 1024 759375 11881376 69343957 254803968 714924299 1680700000 3486784401 6590815232 11592740743 19254145824 30517578125 46525874176 68641485507 98465804768 137858491849
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + x))
A017214: 4096 4826809 113379904 887503681 4096000000 13841287201 38068692544 90458382169 192699928576 377149515625 689869781056 1194052296529 1973822685184 3138428376721 4826809000000
((((if x <= 0 then 0 else (((((2 - x) div ((2 + 2) * 2)) mod 2) + x) + 1)) + 2) + 2) + x)
A248561: 4 7 9 12 14 16 18 20 22 24 26 27 29 31 33 35
(((if ((x div (2 + 2)) - 2) <= 0 then 0 else ((2 + 2) + 1)) + (((x + 1) div 2) div 2)) + x)
A138083: 0 1 2 4 5 6
A023733: 0 1 2 4 5 6 7 9 10 11 12 14 20 21 22 24
compr(\x.(2 - ((x * 2) mod (((if (x - 2) <= 0 then 1 else 2) - (x div ((0 - 2) - 2))) + 2))),x)
A298874-A298871: 1 4 5 7 8 9 10 12 13 14 15 17 19 20 21 22
(((((x - (((x - (if (x - 2) <= 0 then 0 else 1)) mod (2 + 1)) - 1)) div 2) + 2) + 2) + x)
A037354: 4 5 6 8 10 11 12 15 16 17 19 20 21 24 25 26
((if x <= 0 then 1 else (((x * 2) - ((((x - (x div (2 + 2))) + 1) div 2) div 2)) * 2)) + x)
A177152: 1 5 10 13 18 23 28 33 38 41 46 51 56 61 64 69
(((((if (2 - (x div (2 + 2))) <= 0 then ((2 + 2) * 2) else (x + 1)) * 2) * 2) * 2) + x)
A338090-A043485: 8 17 26 35 44 53 62 71 72 73 74 75 76 77 78 79
compr(\x.((((loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x) + 1) div 2) div 2) mod 2),x)
A173025: 0 1 2 4 5 7 8 9 10 14 15 16 17 18 20 21
(((((loop(\(x,i).(((x div ((i mod 2) + 2)) + x) + 1),x,0) div 2) div 2) div 2) div 2) * x)
A308989: 0 0 0 0 0 0 0 0 8 9 20 33 60 91 154 225
((if x <= 0 then 1 else (((x - ((0 - (((2 - x) div 2) mod (2 + 2))) div 2)) div 2) + 2)) + x)
A344291-A231564: 1 3 5 7 9 10 11 13 14 15 17 19 21 22 23 25
compr(\x.((((x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1)) + 1) mod ((2 + 2) * 2)) * 2),x)
A004215: 7 15 23 28 31 39 47 55 60 63 71 79 87 92 95 103
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) - x))
A017489: 32768 2476099 24300000 115856201 380204032 992436543 2219006624 4437053125 8153726976 14025517307 22877577568 35723051649 53782400000 78502725751 111577100832 154963892093
compr(\x.(1 - (((loop(\(x,i).(x * 2),(x div 2),(0 - 2)) mod (x + 1)) div 2) mod (2 + 2))),x)
A026441: 2 4 5 6 8 10 12 13 14 16 17 18 20 21 22 26
(((loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x) * (2 + 2)) + x)
A067396: 4 13 22 31 36 41 50 59 68 77 86 95 104 109 114 123
((loop(\(x,i).(x - ((x div ((((2 - x) div 2) div (2 + 1)) - 2)) - 1)),x,2) div 2) + x)
A097911: 1 3 5 8
A052488: 1 3 5 8 11 14 18 21 25 29 33 37 41 45 49 54
((if x <= 0 then 1 else ((1 - ((x - 2) mod ((2 - (x mod 2)) + 1))) + ((x * 2) * 2))) + x)
A137002: 1 5 11 15
A314015: 1 5 11 15 19 25 30 35 41 45 49 55 60 65 71 75
((if x <= 0 then 1 else ((2 div ((((2 + 2) * 2) * 2) div (x + 1))) + ((x * 2) * 2))) + x)
A313747: 1 5 10 15 20 26 31 36 42 47 52 57 62 67 72 77
(((x - (x mod (((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) - (x div 2)))) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A334918: 0 1 2 3 4 5 6 7 8 9 14 15 16 17 21 22
(x - loop(\(x,i).(((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1)) + x),2,x))
A189819: 0 1 2 2 2 2 2 2 2 2 3 4 4 5 6 6
((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) div (2 + 1)) - ((x + 2) * x))
A229422: 5 12 27 55 102 175 282 432 635 902 1245 1677 2212 2865 3652 4590
loop(\(x,i).((((0 - x) - 1) * (2 + 1)) * (((2 + 2) * 2) + 1)),2,((x + 2) * x))
A158655: 702 2889 6534 11637 18198 26217 35694 46629 59022 72873 88182 104949 123174 142857 163998 186597
loop(\(x,i).((((0 - x) - 1) * ((2 + 2) + 1)) * ((2 + 2) + 1)),2,((x + 2) * x))
A157918: 600 2475 5600 9975 15600 22475 30600 39975 50600 62475 75600 89975 105600 122475 140600 159975
loop(\(x,i).((((2 + 2) * (0 - 2)) * (x + 1)) * ((2 + 2) + 1)),2,((x + 2) * x))
A158773: 1560 6360 14360 25560 39960 57560 78360 102360 129560 159960 193560 230360 270360 313560 359960 409560
loop(\(x,i).(((1 - ((2 + 2) * 2)) * (x + 1)) * ((2 + 2) + 1)),2,((x + 2) * x))
A158735: 1190 4865 10990 19565 30590 44065 59990 78365 99190 122465 148190 176365 206990 240065 275590 313565
loop(\(x,i).(((1 - ((2 + 2) * (2 + 1))) * (x + 1)) * (2 + 1)),2,((x + 2) * x))
A158692: 1056 4323 9768 17391 27192 39171 53328 69663 88176 108867 131736 156783 184008 213411 244992 278751
loop(\(x,i).(((((1 - ((2 + 2) * 2)) * 2) * 2) - 1) * (x + 1)),2,((x + 2) * x))
A158667: 812 3335 7540 13427 20996 30247 41180 53795 68092 84071 101732 121075 142100 164807 189196 215267
loop(\(x,i).((1 - (((2 + 2) * 2) * ((2 + 2) + 1))) * (x + 1)),2,((x + 2) * x))
A158770: 1482 6045 13650 24297 37986 54717 74490 97305 123162 152061 184002 218985 257010 298077 342186 389337
((if x <= 0 then 1 else ((((((x + 2) * x) * 2) * (x + 1)) div (2 + 1)) + (x mod 2))) - x)
A006071: 1 4 14 38 76 136 218 330 472 652 870 1134 1444 1808 2226 2706
((((((loop(\(x,i).(x * 2),x,1) div ((2 + 2) * 2)) + x) + 2) + (x * x)) div 2) - x)
A076202: 1 1 2 4 8 13
A130840: 1 1 2 4 8 13 20 30 45 69 110 184 323 591 1116 2154
(((loop(\(x,i).((((x * x) + 1) * x) * x),1,((x * x) * (x * x))) * x) div 2) * x)
A170800: 0 1 131584 193739769 34360262656 1907353515625 50780008567296 814206940192849 9007199791611904 75047319391891761 500000005000000000 2779958669714828041 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((x * x) + 1) * x),1,(((x * x) * x) * (x * x))) * x) div 2) * x)
A168667: 0 1 65600 64571175 8589942784 381469765625 8463329862336 116315257405375 1125899907891200 8338590852224769 50000000005000000 252723514259390471 1109305553388134400 4325207959722043225
(((loop(\(x,i).(((((x * x) * x) + 1) * x) * x),1,((x * x) * x)) * x) div 2) * x)
A170781: 0 1 65664 64573362 8589967360 381469921875 8463330562176 116315259876004 1125899915231232 8338590871356645 50000000050000000 252723514356826326 1109305553585209344 4325207960098534327
((((if (x mod ((2 + 2) * (2 + 1))) <= 0 then (x + 2) else 0) * ((2 + 2) + 1)) * x) * x)
A145836: 0 0 0 0 0 0 0 0 0 0 0 0 10080 0 0 0
(((if (x - 1) <= 0 then 1 else (0 - ((x div (((2 + 1) * 2) + 1)) * (2 + 1)))) + x) + x)
A027440: 1 3 4 6 8 10 12
A169866: 1 3 4 6 8 10 12 11 13 15 17 19 21 23 22 24
(loop(\(x,i).(x - (((x - (x div (((x div 2) div (2 + 1)) + 1))) div 2) - 1)),2,x) + x)
A154809: 2 4 6 8 10 11 12 13 14 16 18 19 20 22 23 24
(((if x <= 0 then 1 else (((x - (((x + 2) div (2 + 1)) mod (2 + 1))) div 2) * 2)) + x) + x)
A222011: 1 2 4 8
A166245: 1 2 4 8 10 12 16 20 24 26 28 32 34 36 40 42
(loop(\(x,i).(x - (((x - (((x - 1) * x) div ((2 + 2) * 2))) div 2) div 2)),2,x) - x)
A308858: 0 0 0 0 0 0 0 0 0 0 2 2 3 5 6 8
(loop(\(x,i).(((((x * 2) div (2 - ((1 - x) div (2 + 1)))) + x) div 2) + 2),2,x) + x)
A307206: 3 5 6 8 9 10 12 14 15 16 18 19 21 22 23 24
(((if x <= 0 then 1 else (compr(\x.((((2 + 2) * (2 + 1)) mod (x + 2)) mod 2),x) * 2)) + x) + x)
A311385: 1 4 8 12 16 22 28 34 38 42 46 50 54 58 62 66
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - (((x * x) * (x * x)) * (x * x)))
A024146: 1 11 80 999 16640 233207 2939328 35714159 429719552 5159248911 61916364224 743006599127 8916097462272 106993200552263 1283918457019328 15407021563195743
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (((x * x) * (x * x)) * (x * x)))
A024120: 1 9 36 271 5904 84375 953344 9882351 99737856 999468559 9999000000 99998228439 999997014016 9999995173191 99999992470464 999999988609375
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - (((x * x) * (x * x)) * (x * x)))
A024081: 1 6 ~15 ~386 ~1695 1182 70993 705894 5502657 39822166 281475249 1975555182 13838301217 96884183598 678215543313 4747550119318
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024108: 1 8 ~47 ~1458 ~9823 ~19076 251505 3959426 40949569 382637520 3476784401 31361572438 282393704673 2541803079812 22876687041457 205890961235274
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024069: 1 5 ~92 ~1971 ~15088 ~70349 ~233280 ~543607 ~417536 5294727 50466176 343309885 2140950528 12997945499 78258750592 470014125201
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024095: 1 7 ~64 ~1675 ~12288 ~45357 ~17792 1273609 14680064 129434759 1063741824 8570447421 68683644928 549693065371 4397941097600 35184201229457
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024056: 1 4 ~103 ~2062 ~15759 ~75000 ~264311 ~745418 ~1706527 ~2829844 ~234375 29340954 208308817 1157954608 5998102121 30346718750
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((((x * x) * x) * (x * x)) * (x * x)))
A098803: 0 7 6272 750141 39337984 1313046875 32934190464 678223072849 12089663946752 193010051319183 2824752490000000 38532504363714053 495958345459089408 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - (((x * x) * x) * (x * x)))
A024132: 1 10 89 1088 13617 157926 1763785 19470364 214326113 2357888642 25937324601 285311509560 3138428127889 34522711772638 379749833045417 4177248168656276
((x div ((x mod ((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1)) + 1)
A327498: 1 2 3 4 5 3 7 8 9 5 11 12 13 7 5 16
((x div ((((2 - x) + 2) mod ((x mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1)) + 1)
A140271: 1 2 3 4 5 3 7 4 9 5 11 4 13 7 5 8
((x div ((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)) + 1)
A066069-A019554: 1 2 3 2 5 6 7 4 3 10 11 6 13 14 15 4
((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 1)
A095163-A033677: 1 2 3 2 5 3 7 4 3 5 11 4 13 7 5 4
((x mod ((x mod ((x mod ((x div ((x div ((2 + 2) * 2)) + 2)) + 1)) + 1)) + 1)) + 1)
A088445: 1 1 1 2 1 3 1 4 3 2 1 4 1 2 5 4
((2 div ((((x div 2) * x) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) - 1)
A189021: 1 1 1 ~1 1 1 1 0 ~1 1 1 ~1 1 1 1 0
((((x * 2) + 1) mod ((((2 + 2) * (0 - 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A048858: 1 1 1 1 1 1 2 2 2 1 1 1 2 1 3 2
(((x - (2 + 2)) mod (((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A163109: 1 1 1 2 1 2 1 2 2 2 1 2 1 2 2 4
((x mod ((((2 - ((x div 2) mod 2)) * (x + 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1)
A071974-A056622: 1 1 1 2 1 1 1 1 3 1 1 2 1 1 1 4
(((x div 2) mod ((x mod (((((2 + 1) * 2) + 1) mod ((x div 2) + 1)) + 1)) + 1)) + 1)
A292589-A162510: 1 1 1 2 1 1 1 4 2 1 1 2 1 1 1 8
((x div ((x mod (((x mod (((x mod 2) + 2) + 1)) mod ((x div 2) + 1)) + 1)) + 1)) + 1)
A102095: 1 2 3 2 5 3 7 2 3 5 11 3 13 7 5 4
((((x div (2 + 1)) + 1) mod ((x mod (((x div 2) div ((x mod 2) + 1)) + 1)) + 1)) + 1)
A303977: 1 1 1 1 1 1 1 2 4 1 5 2
((x div ((x mod (((((x div 2) - (x mod 2)) * (2 + 1)) mod (x + 1)) + 1)) + 1)) + 1)
A126352: 1 1 3 4 5 3 7 8 9 1 11 12 13 7 15 16
(((x + 1) div (x - ((x mod 2) - (((x div 2) mod (((2 + 1) * 2) + 1)) + 1)))) + 1)
A064529: 2 3 1 2 1 1 1 1 1 1 1 1 1 1 2 2
(2 div ((((x mod ((2 + 2) + 1)) + 1) div ((x div (((2 + 1) * 2) + 1)) + 1)) + 1))
A029400: 1 0 0 0 0 1 0 1 0 0 2 1 1 0 1 2
((x div ((x mod ((x div ((x div (((x mod (2 + 1)) div 2) + 2)) + 2)) + 1)) + 1)) + 1)
A116548: 1 2 3 2 5 3 7 4 3 5 11 4 13 7 5 8
((2 div ((((((x - 2) * x) div ((2 + 2) * 2)) + 2) mod ((2 + 2) + 1)) + 1)) + 1)
A129265: 1 2 1 1 1 1 3 2 1 1 1 1 1 1 1 2
((((x mod (1 - (x div ((0 - 2) - 2)))) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A164002: 1 1 1 1 1 2 2 1 2 1 1 2 2 2 3 2
(((((x * 2) + 1) div (((x mod 2) * 2) + 1)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A057155: 1 1 1 1 1 2 2 2 2 1 1 2 2 1 3 3
((x mod (((x div 2) mod (((((x * x) mod (2 + 1)) + x) mod (2 + 2)) + 1)) + 1)) + 1)
A125168: 1 1 1 2 1 3 1 1 1 1 1 1 1 1 3 4
((x mod ((x mod ((((x div (2 + 1)) mod 2) + 1) * ((x div (2 + 2)) + 1))) + 1)) + 1)
A072499: 1 1 1 2 1 2 1 2 3 2 1 6 1 2 3 8
(((x + 1) div ((2 + 2) + 1)) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1))
A102442: 0 0 0 0 1 0 1 0 0 1 2 0 2 1 1 0
(((1 - x) mod (((((x div 2) mod (((2 + 1) * 2) + 1)) + 1) mod (2 + 1)) + 1)) + 1)
A145327: 2 1 3 2 1 1 2 1 3 2 1 1 2 1 2 1
(((x + 1) mod (((((x * 2) + 1) div (((2 + 2) * 2) + 1)) mod (2 + 1)) + 1)) + 1)
A325509: 1 1 1 1 2 1 2 1 2 2 3 1 2 1 1 1
(x div (((((x + 2) * x) div 2) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1)) + 1))
A306798: 0 0 0 0 0 0 0 0 2 0 0 0 1 0 7 0
(((x div 2) - (((x div (2 + 1)) + 1) mod ((((x div 2) + 1) div (2 + 1)) + 1))) + 1)
A284523: 1 1 2 2 3 3 3 3 4 5 5 5 5 5 6 8
((x mod (((x mod ((((x * x) div (2 + 2)) mod (x + 1)) + 2)) div (2 + 1)) + 1)) + 1)
A336643-A334039-A076933: 1 1 1 2 1 1 1 1 3 1 1 2 1 1 1 2
((x div (((2 - ((x * 2) mod (0 - ((x div (2 + 2)) + 2)))) * (2 + 1)) - 1)) + 1)
A055181: 1 1 1 1 1 1 2 1 2 1 3 2 2 1 2 4
((x + 1) mod (((1 - x) mod (x - ((x + 1) mod (((2 + 2) * (2 + 1)) + 1)))) + 1))
A220164-A002962: 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 5
((((x - 1) div 2) mod (((x - ((1 - x) div ((x div 2) + 2))) mod (2 + 1)) + 1)) + 1)
A275656: 1 1 1 2 2 1 1 1 2 2 1 2 3 1 1 2
(((x * 2) - ((x + 1) mod ((x mod (1 - (((x mod 2) - x) div (2 + 1)))) + 1))) + 1)
A296233: 1 3 5 7 8 11 13 15 17 19 21 23 24 25 29 31
(x mod (((x - ((1 - x) mod (((2 + 1) * 2) + 1))) mod ((x div (2 + 1)) + 1)) + 1))
A255325: 0 0 0 0 0 0 0 0 2 1 0 3 2 1 2 3
((((1 - (x div 2)) mod (((x mod (2 + 2)) * 2) - 1)) mod ((x div (2 + 1)) + 1)) + 1)
A129713: 1 1 1 1 1 1 2 1 1 1 3 2 1 1 1 5
((((2 + 2) + 1) mod ((((x + 1) mod ((2 + 2) + 1)) mod ((x div 2) + 1)) + 1)) + 1)
A285202: 1 1 2 1 1 2 3 2 1 1 2 3 2 1 1 2
(((x * 2) - (x mod (((x mod (((x mod 2) + 2) + 1)) mod ((x div 2) + 1)) + 1))) + 1)
A140584: 1 3 5 6 9 10 13 12 15 18 21 20 25 26
(((x + 2) mod (((((x div (2 + 2)) + x) * ((2 + 2) + 1)) div (x + 1)) + 1)) + 1)
A236858: 1 1 1 2 1 2 3 4 5 6 1 2 3 4 5 6
(((x - 1) mod (((x mod (((x * 2) mod (((2 + 2) * 2) + 1)) + 1)) div 2) + 1)) + 1)
A216784: 1 1 2 1 1 1 2 1 1 1 1 1 3 1 1 1
((((x * 2) - 1) mod ((((((x + 1) * x) mod ((2 + 2) + 1)) + 1) * 2) - 1)) + 1)
A053797: 1 2 1 1 1 1 2 2 1 1 1 2 3 1 1 1
((x div (((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) * 2) + 1)) + 1)
A284694: 1 2 3 2 5 2 7 2 2 2 11 2 13 2 3 2
((x mod (((((x * 2) - 1) mod ((((x mod 2) * x) div (2 + 1)) + 1)) * 2) + 1)) + 1)
A328569: 1 1 1 1 1 3 1 2 1 1 1 3 1 1 1 5
((x mod ((((x - 1) mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) * 2) + 1)) + 1)
A174447-A174374: 1 1 1 1 2 1 1 3 3 1 1 3 4 3 1 1
(((x + 1) mod ((((x + 2) div ((((2 - (x mod 2)) + 1) * 2) + 1)) * 2) + 1)) + 1)
A030111: 1 1 1 2 1 1 2 3 1 1 3 3 4 1 1 3
(((x - 1) div ((x div ((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + 1)) + 1)
A089265: 0 1 2 2 4 3 6 3 8 5 10 4 12 7 14 4
((x div ((((((x - 1) div (2 - (x div ((0 - 2) - 2)))) mod 2) + 1) * 2) + 1)) + 1)
A031281: 1 1 1 2 1 2 2 2 2 2 3 4 5 5 5 6
((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1)
A284580-A284569-A227349: 1 1 1 2 1 1 2 3 1 1 1 2 2 2 3 4
((((2 + 1) * 2) + 1) mod ((x div (((((2 - x) mod (2 + 2)) + 1) * 2) + 1)) + 1))
A253238: 0 0 0 0 0 1 1 0 1 1 3 1 1 1 2 1
((((x mod (((2 + 2) * 2) + 1)) + 1) mod ((((x div (2 + 2)) + 1) div 2) + 1)) + 1)
A177740: 1 1 1 1 2 1 2 1 2 2 1 2 2 3 1 2
((x mod (((((x div (2 + 1)) + x) div ((x mod ((x mod 2) + 2)) + 1)) * 2) + 1)) + 1)
A345708-A144786: 1 1 3 4 5 1 7 8 9 10 11 3 13 14 15 16
(((((x + 2) * x) + 1) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + 1)
A183025: 1 1 2 1 2 1 2 2 2 1 2 1 2 1 2 5
(((x div (2 + 1)) + 1) div ((x div ((x div (((x + 1) mod (2 + 1)) + 2)) + 1)) + 1))
A278912-A025839: 1 0 0 1 0 1 1 0 1 1 1 2 1 1 2 2
(((x * 2) * 2) - (((((x + 2) * (x + 1)) div 2) mod (((2 + 1) * 2) + 1)) - 1))
A106672: 0 2 3 10 16 21 25
(((((x + 1) * 2) * (2 + 1)) - (((1 - x) * 2) div (((2 + 1) * 2) + 1))) - 1)
A004083: 5 11 18 24 30 37 43 49 55 62 68 74 81 87 93 99
(((((x + 1) * 2) * (2 + 1)) - (((2 - x) * 2) div (((2 + 1) * 2) + 1))) - 1)
A246296: 5 11 17 24 30 36 43 49 55 61 68 74 80 87 93 99
((((x + 1) * 2) mod ((((2 + 2) * (x + 1)) mod ((x div (2 + 1)) + 2)) + 1)) + 1)
A326568: 1 1 1 1 2 1 1 1 1 1 3 1 2 2 1 1
((((x * x) * 2) mod ((((2 + 2) * (x + 1)) mod ((x div (2 + 1)) + 2)) + 1)) + 1)
A134866: 1 1 1 1 3 1 1 1 1 1 1 3 4 3 1 1
((x mod ((x mod (((x mod (((2 + 1) * 2) + 1)) mod ((x div 2) + 1)) + 2)) + 1)) + 1)
A331310: 1 2 1 1 1 2 1 2 3 2 1 6 1 2 1 1
(((x + 1) div ((((((((x + 1) div 2) div 2) div 2) + (x mod 2)) + 1) * 2) + 1)) + 1)
A263922: 1 1 2 1 2 2 3 2 2 2 3 2 3 3 4 2
(1 - ((x mod 2) - ((x mod ((x mod ((x div ((2 - (x mod 2)) + 1)) + 2)) + 1)) + 1)))
A064130: 2 2 2 1 2 2 2 2 2 2 2 2 2 2 4 2
((x mod ((((((((x * 2) * 2) * 2) * 2) * 2) + 1) mod ((x + 1) * 2)) + 1)) + 1)
A327501-A304776-A243074-A052410: 1 2 3 2 5 6 7 2 3 10 11 12 13 14 15 2
((x div ((((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) * 2) + 1)) + 1)
A261969: 1 2 3 2 5 6 7 2 3 10 11 2 13 14 15 2
(((x + 2) mod (((x div (((x mod (2 + 2)) * ((2 + 2) + 1)) + 2)) * 2) + 1)) + 1)
A301314: 1 1 1 1 2 1 1 1 2 3 1 1 2 1 2 1
(((x + 2) mod ((((x + 1) div (((x mod ((x mod 2) + 2)) + 1) * 2)) div 2) + 1)) + 1)
A050431: 1 1 1 2 1 1 1 2 2 3 1 2 3 2 1 3
(((x * 2) mod (((((((2 + 2) + 1) * x) mod ((x div 2) + 1)) div 2) * 2) + 1)) + 1)
A281680: 1 1 1 1 3 1 1 3 1 1 3 1 5 3 1 1
(x div ((x div ((((x - 1) div (2 - (x - (((2 + 2) * 2) * 2)))) * 2) + 1)) + 1))
A308855: 0 0 0 0 0 0 0 0 0 0 2 2 2 4 4 7
(((x div 2) mod (((((x + 2) div (0 - ((x div (2 + 2)) + 2))) mod 2) * 2) + 1)) + 1)
A237266: 1 1 1 2 1 3 1 1 2 2 3 1 1 1 1 1
((x mod ((((((x + 1) mod ((2 + 2) + 1)) * x) div ((2 + 2) * 2)) * 2) - 1)) + 1)
A155865-A010358-A010048: 1 1 1 1 1 1 1 2 2 1 1 3 6 3 1 1
(((x * 2) div (((x * 2) div (((x * 2) div ((x div (2 + 2)) + 2)) + 2)) + 1)) + 1)
A161357: 1 3 3 4 3 4 5 5 6 5 7 6 5 7 6 8
(2 div (((2 + 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1)) + 1))
A114002: 1 2 1 2 0 1 2 2 0 1 2 0 0 0 1 2
((((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A241926-A174446-A090806-A048570: 1 1 1 1 2 1 1 2 2 1 1 3 4 3 1 1
(((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A327742-A238392-A144464-A138015-A103444-A099172: 1 1 1 1 2 1 1 2 2 1 1 2 4 2 1 1
(((1 - (x div (2 + 1))) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A161642: 1 1 1 1 1 1 1 3 3 1 1 2 2 2 1 1
((x div ((x mod ((((((x * x) * x) div 2) mod ((x + 2) + 2)) + 2) * 2)) + 1)) + 1)
A170818-A170817: 1 1 1 1 5 1 1 1 1 5 1 1 13 1 5 1
((((((0 - x) mod (2 + 2)) + 1) * ((x * 2) + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A302991: 2 4 7 6 1 9
(((((x - (((x div 2) mod 2) - 1)) div 2) * (x + 1)) div (((2 + 2) * 2) + 1)) + 1)
A029065: 1 1 1 1 2 3 3 3 5 6 7 7 9 11 12 13
((x div (2 + 1)) div ((((((x div 2) + x) + 2) * 2) mod (((2 + 2) * 2) + 1)) + 1))
A128113: 0 0 0 0 0 1 0 0 1 0 0 3 0 0 2 1
((((((2 + 2) + 1) * x) + 2) - (((1 - x) * 2) div (((2 + 2) * 2) + 1))) + 1)
A184517: 3 8 14 19 24 29 35 40 45 50 55 61 66 71 76 82
(((x div (((((2 + 2) * 2) * 2) - x) * 2)) + (x div (((2 + 2) * 2) + 1))) + 1)
A059185: 1 1 1 1 1 1 1 1 1 2 2 3 3 4 5 9
(((((x * 2) + 1) * (x + 2)) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + 1)
A211095: 1 1 1 1 1 2 1 1 1 3 1 3 1 2 1 1
((x - (((x * x) + 2) div ((((((x div (2 + 2)) + x) div 2) + 2) * 2) + 1))) + 1)
A193832: 1 2 3 3 3 4 4 5 5 5 5 5 6 6 6 7
(((x mod (((x mod ((2 + 1) * 2)) mod ((x div 2) + 1)) + 1)) mod ((2 + 2) + 1)) + 1)
A132589: 1 1 1 2 1 3 1 2 3 2 1 1 1 2 3 4
(((((x - (x div (((2 + 2) * (0 - 2)) - 1))) * 2) + 1) * ((2 + 2) + 1)) + 1)
A166728: 6 26 36 46 56 66 76 86 96 106 126 136 146 156 166 176
((((((((x + 2) * x) * 2) + 1) * 2) * ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1)
A152579: 51 351 851 1551 2451 3551 4851 6351 8051 9951 12051 14351 16851 19551 22451 25551
(((((((((x + 2) * x) + 2) * 2) + 1) * 2) * (x + 1)) * ((2 + 2) + 1)) + 1)
A201813: 51 221 631 1401 2651 4501 7071 10481 14851 20301 26951 34921 44331 55301 67951 82401
((2 + 2) mod ((((((x div (2 + 2)) + x) + 2) * (x + 1)) mod ((2 + 2) + 1)) + 1))
A331438: 1 0 1 0 0 0 0 0 0 0 4 0 0 1 0 0
((((((x div (2 + 2)) + 2) mod ((x mod (2 + 1)) + 1)) mod 2) * ((2 + 2) + 1)) + 1)
A138072: 1 1 1 1 6 1 1 6 6 1 1 6 1 6 1 1
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070652: 0 1 6 4 7 23 24 25 13 16 22 9 28 20 5 5
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070664: 0 1 23 32 37 4 39 20 31 40 10 33 36 2 9 5
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070662: 0 1 25 27 1 25 12 25 25 27 1 25 27 13 1 12
(((x div (2 + 1)) + 2) - (((x + 1) div (2 - ((1 - x) div ((2 + 2) + 1)))) + 1))
A029266: 1 0 0 1 1 0 1 1 1 2 2 1 3 3 2 3
(((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * x) div ((2 + 2) + 1)) + 1)
A251660: 1 1 1 1 1 1 1 1 2 1 1 1 3 8 1 1
(((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2) + x) div ((2 + 2) + 1)) + 1)
A109368: 1 1 1 1 1 2 2 2 2 2 3 4 4 5 5 6
((((x mod ((2 + 2) + 1)) * (((2 + 2) * 2) + 1)) + (x div ((2 + 2) + 1))) + 1)
A089756: 1 10 19 28 37 2 11 20 29 38 3 12 21 30 39 4
((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * (x div ((2 + 2) + 1))) + 1)
A259844: 1 1 1 1 1 1 1 1 2 1 1 1 3 7 1 1
((x - (((x mod (2 + 2)) - x) * ((2 + 2) + 1))) + ((x div ((2 + 2) + 1)) + 1))
A043309: 1 2 3 4 25 27 28 29 50 51 53 54 75 76 77 79
(((((((x div 2) * (2 + 1)) div 2) div 2) + 2) + x) * ((x div ((2 + 2) + 1)) + 1))
A048659: 2 3 4 5 7 16 20 22 26
((((x + 2) * 2) - (((1 - (x * 2)) * (2 + 1)) div (((x + 2) + 2) + 1))) + 1)
A248634: 5 8 11 13 16 18 20 23 25 27 29 31 34 36 38 40
(((((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * x) div (((x + 2) + 2) + 1)) + 1)
A073811: 1 1 1 2 1 2 1 3 2 2 1 3 1 2 1 4
(((((((x * x) - 1) * (x + 1)) mod (((2 + 1) * 2) + 1)) + 1) mod (2 + 1)) - 1)
A238468: 0 0 ~1 1 ~1 1 0 0 0 ~1 1 ~1 1 0 0 0
((((x + 1) mod ((((x - 1) * x) mod (((2 + 2) * 2) + 1)) + 1)) mod (2 + 1)) + 1)
A255481: 1 1 1 2 2 1 1 2 1 1 1 1 1 3 1 1
(((((x div ((2 + 2) + 1)) + 1) div (((x - 1) mod (2 + 1)) + 1)) mod (2 + 1)) + 1)
A336431: 1 2 1 1 2 2 1 3 2 1 1 2 2 1 2 2
(((1 - x) * 2) mod ((((((x + 1) div 2) * ((x div 2) + 1)) + 1) div (2 + 1)) + 1))
A309711: 0 0 0 0 0 0 0 0 2 2 4 6 8 10 14 16
(((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) div (2 + 1)) + 1)
A038538: 1 1 1 2 1 1 1 3 2 1 1 2 1 1 1 6
((x div (((x mod ((((x + 1) mod ((2 + 1) * 2)) + 1) * 2)) + 1) * (2 + 1))) + 1)
A054722: 1 1 1 1 1 1 1 2 3 1 1 2 5 3 1 1
(((x - ((((1 - (x div (2 + 1))) mod ((2 + 2) + 1)) mod 2) + 1)) mod (2 + 1)) + 1)
A220906: 2 3 1 3 1 2 3 1 2 2 3 1 3 1 2 2
(x - (((1 - (x mod (x - ((x - 1) mod (((2 + 1) * 2) + 1))))) mod (2 + 1)) - 1))
A073295-A073294: 0 1 2 3 4 5 6 7 8 10 9 11 13 12 14 15
((((x div (2 + 1)) + 1) div 2) div (((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1))
A035393: 0 0 0 1 0 0 1 1 0 0 2 1 0 2 2 1
((((((((((x mod 2) + x) div (2 + 1)) * x) div 2) + 1) div 2) + 1) div (2 + 1)) + 1)
A046052: 1 1 1 1 1 2 2 2 2 3 4 5
A029101: 1 1 1 1 1 2 2 2 2 3 4 5 5 5 6 7
(((((((x + 2) + 2) * (x + 2)) * 2) * (((x + 1) * 2) + 1)) div (2 + 1)) - 1)
A199899: 15 49 111 209 351 545 799 1121 1519 2001 2575 3249 4031 4929 5951 7105
((((1 - x) mod (((((x mod ((x div 2) + 1)) div 2) * 2) * 2) + 1)) mod (2 + 1)) + 1)
A126433: 1 1 1 1 1 2 1 2 1 2 1 3 2 2 1 1
(((2 div ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) mod (2 + 1)) - 1)
A155031: 1 0 1 0 ~1 1 0 0 ~1 1 0 ~1 ~1 ~1 1 0
((((x + 1) * 2) - ((((x * x) div (((x div 2) + 2) + 2)) + 1) div (2 + 1))) + 1)
A186379: 3 5 7 9 10 12 13 15 16 18 19 21 22 24 25 26
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) mod (2 + 1)) + 1)
A115568: 1 1 1 2 1 1 1 3 2 1 1 2 1 1 1 1
((x - 1) mod ((((((2 + 2) * 2) * (x + 1)) div ((2 + 2) + 1)) mod (2 + 1)) + 1))
A091393: 1 0 1 0 0 0 2 0 1 0 0 0 2 0 0 0
(((((x + 1) * 2) * (2 + 1)) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) - 1)
A190334: 5 11 17 22 28 34 40 45 51 57 63 68 74 80 85 91
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070660: 0 1 27 26 26 11 36 26 36 10 1 1 10 11 36 27
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A070658: 0 1 29 29 1 15 1 14 29 1 15 1 29 29 21 15
(((((((x div 2) div ((2 + 2) + 1)) + x) * (2 + 2)) div (2 + 1)) * (2 + 1)) + 1)
A084089: 1 4 7 13 16 19 25 28 31 37 43 49 52 55 61 64
(x - (((x - (((((x div 2) * (2 + 1)) + x) + 2) * (2 + 1))) * (2 + 1)) + 1))
A158803: 17 24 58 65 99 106 140 147 181 188 222 229 263 270 304 311
(x - (((((1 - x) * x) - ((((x - 1) * x) div 2) div (2 + 1))) div (2 + 1)) - 1))
A023536: 1 2 4 7 10 14 19 25 31 38 46 55 65 75 86 98
((((((x * x) div (2 + 2)) + ((x + 1) * 2)) - (x div (2 + 1))) div (2 + 1)) + 1)
A134030: 1 2 3 4 5 6 8 9 11 13 15 18 20 23 26 28
(((((1 - ((x mod 2) * 2)) - (x mod (2 + 1))) mod ((x * 2) - 1)) div (2 + 1)) + 1)
A295885-A293892: 1 1 1 2 1 3 1 4 5 6 1 7 1 8 9 10
((((x div (((x div 2) div (2 + 1)) + 2)) + x) + (((x div 2) + 1) div (2 + 1))) + 1)
A248387: 1 2 4 5 8 9 10 11 12 14 16 17 18 19 20 21
(((x + 1) div ((((x div ((2 + 2) * 2)) + 1) * ((x mod 2) + 1)) * (2 + 1))) + 1)
A060501: 1 1 2 1 2 2 3 2 2 1 2 2 3 2 3 2
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)
A329329-A306697-A297845-A296313-A259874-A256141-A196416-A183456-A183342-A174448-A114225-A077028-A072704-A038792: 1 1 1 1 2 1 1 3 3 1 1 4 5 4 1 1
(((((((x + 1) * x) div 2) + (((x * 2) * 2) * 2)) * (x + 1)) div (2 + 1)) + 1)
A143058: 1 7 20 41 71 111 162 225 301 391 496 617 755 911
((x - (((((2 - (x div 2)) mod (x + 2)) div 2) div 2) + ((x + 1) div (2 + 1)))) + 1)
A081611: 1 2 2 3 4 4 4 4 4 5 6 6 7 8 8 8
((((1 - (x div (((1 - x) div (((2 + 2) * 2) + 1)) - 1))) * 2) div (2 + 1)) + 1)
A093875: 1 2 2 3 3 3 3 4 4 5 5 4 4 5 5 5
((((((2 + 1) * x) div (((x + 2) div ((2 + 2) + 1)) + 1)) + 2) div (2 + 1)) + 1)
A178042: 1 2 3 3 3 4 4 5 4 4 5 5 5 4 5 5
((((((x * 2) - ((1 - (x div 2)) div ((2 + 2) + 1))) + 1) * 2) div (2 + 1)) + 1)
A285343: 1 3 4 5 7 9 10 11 13 14 15 17 18 19 21 23
(x div (((((x div ((x mod ((x div (2 + 2)) + 1)) + 2)) + 1) * 2) div (2 + 1)) + 1))
A078640: 0 1 1 1 1 2 2 2 2 2 3 3 2 3 4 5
(((((((((x + 1) div 2) div 2) * x) div ((2 + 2) * 2)) + 1) * 2) div (2 + 1)) + 1)
A029119: 1 1 1 1 1 1 1 2 3 3 3 4 4 4 5 6
((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + 1)
A164028: 1 3 5 6 7 9 11 12 13 15 17 18 19 21 22 23
((((((((((x + 1) div 2) div 2) * (x div 2)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A029120: 1 1 1 1 1 1 1 2 3 3 3 3 4 4 5 6
((((((x * 2) mod (((1 - x) mod ((x div 2) + 2)) + 2)) + 1) div 2) mod (2 + 1)) + 1)
A134542-A106254: 1 1 1 1 2 1 1 2 2 1 1 3 3 2 1 1
(((x - (((1 - ((x * 2) div (2 + 1))) mod ((2 + 2) + 1)) div 2)) mod (2 + 1)) + 1)
A274921: 1 2 3 2 3 2 3 1 3 1 2 1 3 1 2 1
(((2 + 1) * x) mod ((((((x * x) div 2) div ((2 + 2) + 1)) + 2) div (2 + 1)) + 1))
A240923: 0 0 0 0 0 1 0 0 0 3 0 3 0 4 2 0
(2 - ((1 - x) div (((((x div ((2 - (x mod 2)) * 2)) + 1) * 2) div (2 + 1)) + 1)))
A218007: 1 2 3 3 4 4 5 4 5 4 5 4 6 5 7 5
(((0 - x) - 1) mod (((x - (((x div (2 + 2)) * (2 + 1)) div 2)) mod (2 + 1)) + 1))
A079127: 0 0 0 0 0 0 2 0 0 0 1 0 2 0 1 2
(x - (((x mod (((2 + 2) * 2) + 1)) - x) * ((((2 + 1) * 2) * (2 + 1)) + 1)))
A073790: 0 1 2 3 4 5 6 7 8 180 181 182 183 184 185 186
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A070701: 0 1 14 2 6 16 9 7 8 4 15 11 12 10 3 13
(((((((x div (((x div 2) div (2 + 1)) + 2)) + x) * 2) + 1) * 2) div (2 + 1)) + 1)
A230078: 1 3 5 7 9 11 12 13 15 17 19 20 21 23 24 25
((((((((((x * 2) * 2) * 2) div (x + 2)) + x) div 2) + 1) * 2) div (2 + 1)) + 1)
A241920: 1 2 3 3 4 5 5 5 6 6 7 7 7 7 8 9
(((x mod (((((2 + 2) * (2 + 1)) - 1) mod ((x * 2) + 1)) + 2)) mod (2 + 1)) + 1)
A105083: 1 2 3 1 1 2 1 2 3 1 2 3 1 1 2 3
(((((((((x div 2) * (2 + 1)) + x) * 2) + (x div 2)) + 1) * 2) * (2 + 1)) - 1)
A146511: 5 17 71 83 137 149 203 215 269 281 335 347 401 413 467 479
(((((((((x div (2 + 2)) + x) + 1) div 2) + 2) * (x + 1)) div 2) div (2 + 1)) + 1)
A135279: 1 2 2 3 5 6 8 9 11 14 15
(((((((((x - 1) mod (2 + 1)) + x) div 2) * 2) mod (x + 1)) + 2) div (2 + 1)) + 1)
A293248: 1 1 2 1 3 1 2 3 4 1 5 1 2 5 6 1
((((x + 1) mod (((x mod (((2 + 2) mod (x + 1)) + 1)) div 2) + 2)) mod (2 + 1)) + 1)
A272863: 2 1 2 1 2 1 2 3 1 3 2 1 2 3 1 1
(((((x - (x div (((x div ((0 - 2) - 2)) - 2) - 1))) mod 2) * 2) * (2 + 1)) + 1)
A132728: 1 1 7 1 7 1 1 7 1 7 1 7 1 7 1 1
(((((x - (((x div (0 - 2)) * 2) div ((2 + 2) + 1))) * 2) * 2) div (2 + 1)) + 1)
A336353-A281995: 1 3 5 6 7 10 11 13 14 15 17 19 21 22 23 26
(((((((((((x + 1) div 2) + 1) * x) div 2) div 2) + 1) div 2) * 2) div (2 + 1)) + 1)
A029068: 1 1 1 1 2 3 3 3 4 5 6 7 8 9 10 12
((((x - ((((((x div 2) + 1) div 2) div 2) * (2 + 1)) div 2)) * 2) div (2 + 1)) + 1)
A226142: 1 1 2 3 3 4 4
A268060: 1 1 2 3 3 4 4 5 5 6 7 7 8 9 8 9
((((((x - ((1 - x) * (x div 2))) * ((x div 2) + 1)) div 2) + 2) div (2 + 1)) + 1)
A294496: 1 1 2 3 6 8 15 18 31 35 56 62
(x div (2 - ((1 - x) div (((x - ((((x div 2) + 1) div 2) div 2)) mod (2 + 1)) + 1))))
A334158: 0 0 0 0 1 1 1 0 1 1 0 1 2 0 0 1
(((((((x div (((2 - (x mod 2)) + 2) + 2)) + x) + 1) * 2) * 2) div (2 + 1)) + 1)
A284892-A167171-A144338: 2 3 5 6 7 10 11 13 14 15 17 19 21 22 23 26
((((x div (((x mod (((x div 2) mod (2 + 1)) + 1)) * 2) + 2)) div 2) mod (2 + 1)) + 1)
A138774: 1 1 1 1 1 1 2 2 3 2 2 1 1 1 1 2
(((((x * x) - (x div ((x div ((x mod (2 + 1)) + 2)) + 2))) div 2) mod (2 + 1)) + 1)
A270488: 1 1 2 2 2 1 3 1 2 2 2 3 3 3 2 2
(((((((x mod (((x div (2 + 2)) * 2) - 1)) mod 2) * 2) * 2) * 2) * (2 + 1)) + 1)
A306454: 1 1 1 1 1 1 1 1 1 1 25 1 1 25 1 1
(((x - 1) * x) div ((((2 - (x - (((2 + 2) * 2) * 2))) * 2) * (2 + 1)) - 1))
A326468: 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 12
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070687: 0 1 17 24 7 21 32 8 25 12 28 37 27 3 42 34
((x + 2) mod (((x mod ((x mod (((2 - x) div (2 + 2)) - 2)) - 2)) mod (2 + 1)) + 1))
A286998: 0 1 0 2 0 1 0 1 0 2 0 1 0 0 1 0
(x - ((((x - (((2 - x) + 2) div ((x div (2 + 2)) + 2))) * 2) div (2 + 1)) + 1))
A029235: 1 0 1 0 1 0 1 1 1 1 1 2 2 2 3 2
((2 - x) mod ((((((((x * x) div 2) * (x - 2)) div 2) div 2) div 2) div (2 + 1)) + 1))
A058642: 0 0 0 0 0 1 0 1 3 5 9
(((((((x mod ((x div 2) + 1)) div 2) + ((x * 2) * 2)) * 2) * 2) div (2 + 1)) + 1)
A315530: 1 6 11 17 22 29 34 39 45 51 57 62 67 74 79 85
(((x div ((2 + 2) * 2)) + 1) div ((((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)) + 1))
A035443: 0 0 1 0 0 1 0 1 1 0 2 1 0 2 1 2
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A070706: 0 1 3 12 9 0 11 18 2 19 0 21 8 17 4 0
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A070704: 0 1 13 2 8 17 3 5 12 4 14 7 16 9 19 11
(((((x + 2) * (x + 2)) div 2) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1)
A335746: 1 1 1 1 1 2 2 3 3 4 5 6 8 9 11 14
((((((x + 1) * 2) + 1) * x) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1)
A122129: 1 1 1 2 3 4 5 7 9 12 15 19 24 30 37 46
(((((((x div (((x div 2) div (2 + 1)) + 2)) + x) + 2) * 2) * 2) div (2 + 1)) + 1)
A214547-A097218: 3 5 7 9 11 13 14 15 17 19 21 22 23 25 26 27
((x + 1) mod (((x - (((x + 2) div ((x mod 2) + 2)) mod (2 + 2))) mod (2 + 1)) + 1))
A035187: 1 0 0 1 1 0 0 0 1 0 2 0 0 0 0 1
(((((((x + 2) * 2) * 2) - 1) * 2) * (x + 1)) div (((2 + 2) * (2 + 1)) + 1))
A083462: 1 3 6 11
A065504: 1 3 6 11 17 24 33 43 54 66 79 94 110 127 145 164
((((((x * 2) + 1) * 2) * 2) div (2 + 1)) - (x div (((2 + 2) * (2 + 1)) + 1)))
A231407: 1 4 6
A189533: 1 4 6 9 12 14 17 20 22 25 28 30 33 35 37 40
(((((2 + 2) * (2 + 1)) + 1) * (x + 1)) + (x mod (((2 + 2) * (2 + 1)) + 1)))
A136773: 13 27 41 55 69 83 97 111 125 139 153 167 181 182 196 210
(1 div (2 - ((((x * x) * (x * x)) * (x * x)) mod (((2 + 2) * (2 + 1)) + 1))))
A011583: 0 1 ~1 1 1 ~1 ~1 ~1 ~1 1 1 ~1 1 0 1 ~1
((((x * 2) - ((x + 1) mod (2 + 1))) + 1) + (x div (((2 + 2) * (2 + 1)) - 1)))
A026309: 0 1 5 6 7 11 12 13 17 18 19 24 25 26 30 31
(((((2 + 2) * (2 + 1)) - 1) * (x + 1)) + (x mod (((2 + 2) * (2 + 1)) - 1)))
A136771: 11 23 35 47 59 71 83 95 107 119 131 132 144 156 168 180
(((((2 + 2) * 2) + x) + 2) - (x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))))
A168100: 10 11 12 13 14 15 16 17 18 19 20 21 21 21 21 21
((((x + 1) * x) - (((((x * x) - 1) * x) * x) div ((2 + 2) * (2 + 1)))) + 1)
A080260: 1 3 6 7 1 ~19 ~62 ~139 ~263 ~449 ~714 ~1077 ~1559 ~2183 ~2974 ~3959
((((x * 2) * (x + 1)) - ((1 - (((x + 1) * x) div (2 + 2))) div (2 + 1))) + 1)
A301673: 1 5 13 26 43 63 88 118 151 188 230 276 326 380 438 501
(((x - (((1 - (x div (2 + 1))) div (2 + 1)) * ((x mod 2) + 2))) div (2 + 1)) + 1)
A342249: 1 1 1 2 2 2 3 4 4 5 5 5 5 6 6 8
(x mod ((((((x + 1) div ((x div ((2 + 2) + 1)) + 1)) + x) * 2) div (2 + 1)) + 1))
A103303: 0 1 2 3 4 5 6 7 8 9
A007376: 0 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2
((((((x + 2) * x) + ((2 + 2) * 2)) * (((x + 2) * x) + 2)) div (2 + 1)) - 1)
A047668: 4 17 52 129 276 529 932 1537 2404 3601 5204 7297 9972 13329 17476 22529
((((((((x + 2) * (x + 2)) div 2) - (x mod 2)) + 1) * (x + 2)) div (2 + 1)) - 1)
A099955: 1 3 11 19 37 55 87
A219527: 1 3 11 19 37 55 87 119 169 219 291 363 461 559 687 815
((((((x + 2) + 1) * x) * 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1))) + 1)
A323221: 1 9 22 41 67 101 144 197 261 337 426 529 647 781 932 1101
((((((x + 2) * 2) + 1) * x) - ((((1 - (x * x)) * x) div 2) div (2 + 1))) - 1)
A034857: ~1 6 18 36 61 94 136 188 251 326 414 516 633 766 916 1084
(x - (((((x * x) div ((((2 + 2) * 2) * (2 + 1)) + 1)) + x) div (2 + 1)) - 1))
A194806: 1 2 3 3 4 4 5 6 6 6 7 7 8 8 8 8
(((((x + 1) * x) + 1) * ((x * 2) + 1)) * ((((x + 1) * x) * (2 + 1)) + 1))
A022522: 1 63 665 3367 11529 31031 70993 144495 269297 468559 771561 1214423 1840825 2702727 3861089 5386591
((((((2 - ((1 - x) div ((x div (2 + 2)) + 2))) + 2) * 2) + x) div (2 + 1)) + 1)
A073169: 3 4 5 5 5 6 7 7 7 8 9 9 9 10 10 10
(((((((x div (((x div 2) mod 2) + 2)) + 1) div 2) + 1) * 2) - (x div (2 + 1))) - 1)
A206827: 1 1 1 2 2 2 1 1 3 2 2 2 3 3 1 2
(((((x - (x div (((2 + 1) * 2) + 1))) div 2) + (x * 2)) - (x div (2 + 1))) + 1)
A184873: 1 3 6 7 10 12 14 16 18 20 22 25 26 29 31 32
((((x * 2) * (2 + 1)) - (x div (((2 + 1) * 2) + 1))) mod ((x div (2 + 1)) + 1))
A236468: 0 0 0 0 0 0 0 2 2 1 3 1 1 2 2 4
((((((x div (2 + 1)) mod 2) * (2 + 1)) - (x mod 2)) - 1) * ((x div (2 + 1)) + 1))
A099470: ~1 ~2 ~1 2 4 2 ~3 ~6 ~3 4 8 4 ~5 ~10 ~5 6
((((x + 1) mod (1 - (x mod (1 - ((2 + 2) * 2))))) mod 2) * ((x div (2 + 1)) + 1))
A338504: 0 0 1 0 2 0 3 0 0 0 4 0 5 0 0 0
((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod ((x div (2 + 1)) + 1))
A320364-A318222-A317896: 0 0 0 0 1 0 0 1 1 0 0 2 4 2 0 0
(((0 - (((x div 2) div (((2 + 1) * 2) + 1)) + x)) - 2) mod ((x div (2 + 1)) + 1))
A342301: 0 0 0 1 0 1 1 0 2 1 0 3 1 0 3 0
((((1 - ((2 + 2) * 2)) mod ((x div (2 + 1)) + 1)) + 1) * ((x mod (2 + 1)) + 1))
A006047: 1 2 3 2 4 6 3 6 9 2 4 6 4 8 12 6
((((((x + 1) * 2) + 1) * 2) - (((x * x) div (2 + 1)) div ((x + 2) + 1))) - 1)
A141135: 5 9 13 17 21 24 28 32 36 39 43 47 50 54 58 61
(x - (((((((x div (2 + 1)) mod (2 + 1)) + x) * x) div 2) div ((x + 2) + 1)) - 1))
A088023-A073092: 1 2 3 3 4 5 5 5 6 7 8 8 8 9 9 9
(((((((((x * 2) * 2) + (x mod 2)) + 1) * 2) + 1) * 2) * ((x * 2) + 1)) + 1)
A135051: 7 79 191 407 631 991 1327 1831 2279 2927 3487 4279 4951 5887 6671 7751
(((x * 2) + 1) mod ((((x * 2) - ((x div 2) mod (2 + 1))) mod ((x div 2) + 1)) + 1))
A037188: 0 0 1 1 0 2 0 0 0 1 0 2 1 3 1 1
(((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) mod ((x div 2) + 1)) + 1)
A325567-A072994-A009195: 1 1 1 2 1 2 1 4 3 2 1 4 1 2 1 8
((((x + 2) * 2) - (((x + 2) * x) div (((((2 + 2) * 2) * 2) + x) + 1))) + 1)
A080353: 5 7 9 11 12 14 15 17 18 20 21 22 24 25 26 28
(x mod ((((x mod (((2 - x) mod ((x div (2 + 1)) + 2)) + 1)) + 1) mod (x + 1)) + 1))
A099584: 0 0 0 1 0 1 0 2 0 0 1 2 0 1 0 0
(compr(\x.(1 - (x mod (((x mod (((x mod 2) + 2) + 1)) * (2 + 1)) + 1))),(x + 1)) + 1)
A080702: 3 4 6 8 9 10 11 12 14 16 18 20 21 22 23 24
(x - (((x - (((2 - x) * (x * 2)) div (((2 + 1) * 2) + 1))) mod (x + 1)) - 1))
A194750: 1 1 1 4 3 2 1 7 5 3 11 8 5 2 13 9
((x + 1) div (((((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod (x + 1)) + 1))
A131333: 1 1 1 2 1 1 3 2 2 1 5 3 4 2 1 8
((((((x mod (((x div (2 + 2)) mod 2) + 2)) + (x div 2)) div 2) + 1) mod (x + 1)) + 1)
A105096: 1 2 2 3 3 4 3 4 4
A176075: 1 2 2 3 3 4 3 4 4 4 4 5 5 5 6 5
(((x * 2) - (((x mod (((2 + 2) * (2 + 1)) + 1)) * (2 + 1)) div (x + 1))) + 1)
A336119: 1 2 3 5 7 9 11 13 15 17 19 21 23 27 29 31
((x + 1) div (((2 - ((((x div 2) * 2) div (2 + 1)) * (2 + 1))) mod (x + 1)) + 1))
A261794: 1 2 1 1 1 1 1 1 1 1 2 2 3 2 2 2
(compr(\x.(1 - (x mod (((x + 2) mod ((((x mod 2) + 2) + 2) + 1)) + 2))),(x + 1)) - 1)
A328216: 1 2 3 4 5 6 8 9 10 12 13 14 15 16 18 21
(compr(\x.(1 - (x mod ((((x * 2) mod ((x div (2 + 2)) + 1)) mod 2) + 2))),(x + 1)) + 1)
A227180: 4 6 8 9 10 12 14 16 18 20 22 24 26 27 30 32
(((((((x * x) * x) * (x * x)) * (((x * 2) + 1) * 2)) + 2) * (x + 1)) + 1)
A225728: 3 17 967
(((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((2 + 2) * (x + 1))) - 1)
A238806: 3 8 15 25 39 58 83 115 155 204 263 333 415 510 619 743
(compr(\x.(((x mod (((2 + 2) + 1) * 2)) * (2 + 1)) - (x div (2 + 2))),(x + 1)) + 1)
A279769-A084854: 11 21 22 31 32 33 41 42 43 44 51 52 53 54 55 61
(((((x * 2) + 1) * (2 + 1)) * ((2 + 2) + 1)) * (((x + 2) * (x + 1)) - 1))
A207596: 15 225 825 1995 3915 6765 10725 15975 22695 31065 41265 53475 67875 84645 103965 126015
(((((((((((x * x) * x) + 1) * x) * x) + 1) * x) + 1) * x) * (x - 1)) + 1)
A060889: 1 1 151 4561 49981 315121 1406371 4956001 14709241 38316961 90090991 195019441 394379701 753327121 1370877691 2392743361
((((((x * x) - 1) * x) div 2) div (2 + 1)) * ((((x - 1) * x) * (x - 1)) + 1))
A202654: 0 0 3 52 370 1620 5285 14168 33012 69240 133815 242220 415558 681772 1076985 1646960
((((x mod ((x mod ((x div (((x + 1) mod (2 + 1)) + 2)) + 1)) + 1)) + 1) div 2) + 1)
A344773: 1 1 1 2 1 2 1 2 1 2 1 4 1 2 1 3
((((x div 2) div ((x mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) * 2) + 1)
A318653: 1 1 3 1 5 3 7 1 3 5 11 3 13 7 15 3
(((x - ((x mod (((((x - 1) div 2) mod (2 + 1)) * (2 + 1)) - 1)) - 1)) * 2) + 1)
A060265: 3 5 7 7 11 13 13 17 19 19 23 23 23 29 31 31
((((x mod (((((x * 2) mod ((x div 2) + 2)) div 2) * (2 + 1)) + 1)) + 1) div 2) + 1)
A338428: 1 1 1 1 1 2 2 1 2 1 1 1 1 2 1 3
((((x div (2 + 1)) div ((x mod ((((x mod 2) + 2) * (2 + 1)) - 1)) + 1)) * 2) + 1)
A107294: 1 1 1 1 1 1 3 1 1 3 7 1 3 1 1 1
(((((((x - 1) mod ((2 + 2) + 1)) - 1) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A014643: 1 1 1 2 1 2 2 1 2 2 3 3 1 2 2 3
(((((2 - ((x - 1) mod ((2 + 2) + 1))) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A256660: 1 1 1 1 2 1 2 2 1 3 2 2 2 1 3 3
(((((((x div ((2 + 2) + 1)) + x) + 1) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A182597: 1 1 1 1 2 2 2 1 2 3 2 2 1 2 2 2
(((((((x + 2) * x) + ((2 + 2) * 2)) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A332207: 1 1 1 2 1 2 2 2 2 3 1 3 2 3 2 4
(((((x div (2 + 1)) + 1) div (((2 - x) mod ((x div (2 + 1)) + 1)) + 1)) div 2) + 1)
A051574: 1 1 1 1 2 1 1 1 2 2 3 1 3 1 1 1
((x mod (((x mod (((((2 + 1) * 2) + 1) mod ((x div 2) + 1)) + 1)) + 1) * 2)) + 1)
A325566-A324873: 1 2 1 4 1 2 1 8 3 2 1 4 1 2 1 16
((((x mod (((((x mod (2 + 1)) div 2) + 2) mod ((x div 2) + 1)) + 1)) + 1) div 2) + 1)
A335221: 1 1 1 1 2 1 1 2 1 1 2 3 1 2 2 1
((((x div ((((((2 + 2) * 2) * (2 + 1)) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1)
A181776: 1 1 1 1 2 1 2 1 2 2 4 1 2 2 2 2
((((x div ((x mod (((x mod (((2 + 2) * 2) + 1)) + 1) * 2)) + 1)) + 1) div 2) + 1)
A162235: 1 1 1 1 1 1 1 1 1 3 3 2 2 3 3 5
((((x + 1) mod ((x mod (((((x * 2) mod (2 + 1)) + 1) * 2) + 1)) + 1)) * 2) + 1)
A346182: 1 1 1 1 1 1 1 1 3 1 7 1 1 1 1 1
((((x div ((((((x div (2 + 2)) * (x + 1)) mod 2) + 1) * 2) + 1)) + 1) div 2) + 1)
A230443: 1 1 1 2 1 2 2 2 2 3 3 3 2 3 2 4
(x - (((x mod ((x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))) + 1)) div 2) - 1))
A275987: 1 2 3 4 5 6 7 8 9 10 6 12 13 14 14 16
((x div ((x div (((x div 2) mod ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1)) + 2)) + 1)
A204988: 1 1 1 2 1 1 1 3 1 1 1 2 1 1 1 4
(((((((x div 2) - 2) * (x + 2)) mod ((((x + 1) div 2) div 2) + 1)) + 1) div 2) + 1)
A296773-A228369-A108244: 1 1 1 2 1 1 1 1 2 2 1 3 1 1 1 1
((((((((x * 2) div ((2 + 2) + 1)) + 2) * x) div ((2 + 2) + 1)) + 1) div 2) + 1)
A342517: 1 1 1 2 2 3 3 4 5 6 7 8 8 10 11 13
((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + 1)
A329617-A329378-A320888-A319269-A296132-A179953-A086436: 1 1 1 2 1 2 1 3 2 2 1 3 1 2 2 4
((x div ((x div ((((((1 - x) div 2) - 1) * (x + 1)) mod (2 + 1)) + 1)) + 2)) + 1)
A177025: 1 1 1 2 1 1 2 2 1 2 1 1 3 2 1 2
((((((x + 1) mod (((x - 1) mod (2 + 1)) + 1)) * (x div (2 + 1))) + 1) div 2) + 1)
A228202: 1 1 1 2 1 1 2 1 2 3 1 1 3 1 3 4
((x + 2) div (((((x mod ((0 - 2) - 2)) + 1) mod ((x div (2 + 1)) + 1)) mod 2) + 1))
A325943: 2 3 4 5 3 7 8 9 5 11 6 13 7 7 16 17
(((((x + 1) div (((x div ((2 + 2) + 1)) + 1) + (x mod (2 + 1)))) + 1) div 2) - 1)
A241035: 0 0 0 1 0 0 1 0 0 2 0 0 1 1 1 1
(((((((x mod (2 + 2)) + 1) * ((x + 2) + 1)) div ((x mod 2) + 1)) + 1) div 2) - 1)
A176974: 1 1 7 5 3 3 13 9 5 5 19 13 7 7 25 17
(((2 + 2) + 1) mod (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1))
A318952: 0 0 0 1 0 0 0 1 1 0 0 5 0 0 0 5
(((((x * 2) - (((((x div (2 + 2)) mod 2) + x) div 2) div (0 - 2))) + 1) * 2) + 1)
A285669: 3 7 13 17 21 27 31 35 39 43 49 53 57 63 67 71
((((((x mod (((2 + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) - 1)
A027023: 1 1 1 1 1 1 1 3 1 1 1 1 3 5 5 1
(((((((x + 2) mod (1 - (((x mod 2) - x) div (2 + 1)))) + 1) div 2) + 1) div 2) + 1)
A264998: 1 1 1 2 1 2 2 1 2 2 2 2 2 1 2 3
(((x mod (((((((x div ((x mod 2) + 2)) - 1) div 2) mod 2) + 1) * 2) + 1)) div 2) + 1)
A162320: 1 1 2 1 1 2 1 1 2 3 1 1 1 2 3 1
(((((x mod (((2 - (((x - 1) div 2) mod (2 + 2))) * 2) + 1)) div 2) + 1) * 2) - 1)
A093421: 1 1 3 1 1 1 1 1 1 5 1 3 1 1 1 1
(((((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) div 2) + 1) * 2) + 1)
A117767: 3 3 5 5 7 7 9 9 9 11 11 13 13 13 13 15
((((((x - (((2 - x) div (2 + 2)) * 2)) * ((2 + 2) + 1)) div 2) + 1) * 2) + 1)
A298360: 3 7 13 27 33 37 43 57 63 67 73 87 93 97 103 117
((x + 1) div ((((x div ((((1 - x) * 2) mod ((2 + 2) + 1)) + 2)) + 1) * 2) + 1))
A280522: 0 0 1 0 1 1 0 1 1 2 1 0 1 1 2 1
(((((((x div (((2 + 1) * 2) + 1)) + x) * ((2 + 2) + 1)) div 2) + 1) div 2) + 1)
A029903: 1 2 4 5 6 7 9 11 12 14 15 16 17 19 21 22
((((x + 2) * x) mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 2)) + 1)
A337908: 1 2 1 1 1 3 1 1 1 1 1 4 1 1 1 1
((((((((x + 1) * x) div 2) + 2) * (2 + 1)) div (((2 + 1) * 2) + 1)) + 2) + 1)
A299114: 3 4 5 6 8 10
A130216: 3 4 5 6 8 10 12 15 19 23 27 32 37 42 48 55
(((x - (((x - ((x * x) div (2 + 1))) div 2) div (((2 + 1) * 2) + 1))) * 2) + 1)
A210719: 1 3 5 7 11 13 15 17 19 23 25 29 31 35 37 41
((x * 2) div (x - ((x mod 2) - ((((2 - x) mod (((2 + 1) * 2) + 1)) * 2) + 1))))
A212211: 0 0 1 0 0 0 0 1 1 2 0 1 1 1 1 1
(((((((((((x mod (2 + 1)) div 2) + x) div 2) * x) div 2) + 1) div 2) + 1) div 2) + 1)
A088044: 1 1 2 2 2 3 4 4 5 6 8 10 10 11 14 14
(1 - (x div (0 - ((x div ((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + 1))))
A119674: 1 2 3 3 5 4 7 4 9 6 11 5 13 8 15 5
((((((((((x div 2) * (x - 2)) + x) * 2) + 1) * (x + 1)) div 2) + 1) div 2) + 1)
A102772: 1 3 5 10 22 36
(((((((((x * x) * x) div ((2 + 2) * 2)) mod 2) * (x + 1)) div 2) + 1) div 2) + 1)
A144112: 1 1 2 2 1 3 3 1 1 4 4 1 1 1 5 5
((((((2 - x) mod ((((x * x) + (x div 2)) div (2 + 1)) + 2)) div 2) + 1) div 2) + 1)
A029037: 1 1 1 2 3 3 4 5 6 7 8 10 12 13 15 18
(((((((((x div 2) div (2 + 1)) + x) * ((x div 2) + 1)) div 2) div 2) + 1) div 2) + 1)
A029019: 1 1 2 2 3 3 5 5 7 7 9 10 13 14 17 18
(x - (((((((((x div (2 + 2)) + 1) div 2) * (x + 1)) div 2) div 2) + 1) div 2) - 1))
A268234: 1 2 3 4 4 5 6 7 8 9 10 10 10 10 11 12
(((((((((x mod 2) + x) * 2) + x) * 2) + (((x + 1) div 2) div 2)) + 1) div 2) + 1)
A277137: 1 6 7 13 14 19 20 25 26 31 32 38 39 44 45 50
(((((x + 1) div (((x * 2) mod (((x div (2 + 2)) mod 2) + 2)) + 2)) + 1) div 2) + 1)
A035250: 1 2 2 2 2 2 3 2 3 4 4 4 4 3 4 5
(x - (((((((x div 2) + 1) div 2) * x) div ((((2 + 2) * 2) * 2) - 1)) * 2) - 1))
A269364: 1 2 3 4 5 6 7 8 7 8 7 8 9 10 9 8
((x div (((x div 2) div (((x mod (((1 - x) mod (2 + 2)) + 2)) div 2) + 1)) + 2)) + 1)
A319696: 1 1 2 2 2 2 2 3 3 2 2 3 2 2 4 4
((((x * x) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) + 1)
A152714: 1 1 1 1 3 1 1 3 3 1 1 3 9 3 1 1
(x div (((x - ((((((x * 2) - 1) * x) mod ((x + 2) + 2)) div 2) - 1)) div 2) + 1))
A220272: 0 0 1 1 2 1 2 1 1 3 2 2 2 1 1 3
(((x + 1) * 2) mod (((x mod ((((x + 2) mod ((x mod 2) + 2)) * 2) + 1)) * 2) + 1))
A338264: 0 0 0 1 0 2 0 0 0 2 0 4 0 0 0 0
((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (x div ((2 + 2) + 1))) div 2) + 1)
A271341: 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 10
(((2 + 1) * x) - (((x mod (2 - (x mod (0 - ((x div (2 + 2)) + 1))))) mod 2) - 1))
A285353: 1 3 7 9 13 16 19 21 25 27 31 34 37 39 43 46
(((x div ((((1 - x) mod ((2 + 1) * 2)) + 2) * ((x mod (2 + 2)) + 1))) * 2) + 1)
A307847: 1 1 1 1 1 1 1 1 3 1 1 1 9 7 1 1
(((((((((x * x) div (((x + 2) + 2) + 1)) + 1) * x) div 2) div 2) + 1) div 2) + 1)
A034142: 1 1 1 2 2 3 4 5 6 8 10 12 15 17 20 24
(((((((((x div ((2 - (x mod 2)) * 2)) + 1) mod 2) * x) div 2) div 2) + 1) div 2) + 1)
A033941: 1 1 1 1 1 2 1 1 2 2 2 1 1 3 1 1
((((((((((x div 2) * (2 + 1)) + x) * 2) + 1) * (x + 2)) div 2) + 1) * 2) + 1)
A092358: 5 11 47 67
(((x div 2) div ((((((x + 1) * x) mod ((2 + 2) * 2)) + 1) mod (2 + 1)) + 2)) + 1)
A187184: 1 1 1 1 1 1 2 2 2 3 2 2 2 3 4 3
((((x - (((((x - 1) div 2) div 2) * (0 - 2)) div (2 + 1))) * (2 + 1)) div 2) + 1)
A117741: 1 2 4 5 7 10 11 13 14 17 19 20 22 23 25 26
(x - (((((x + 1) div (2 + 1)) - ((1 - (x div (2 + 1))) div (2 + 1))) * 2) - 1))
A317952-A059131: 1 2 1 2 3 2 1 2 1 2 3 2 3 4 3 2
((x div ((x mod ((((x * 2) mod (((2 + 1) * 2) + 1)) + 2) * (2 + 1))) + 2)) + 1)
A327791: 1 1 1 1 1 1 1 3 1 1 1 3 1 1 4 4
((((((x + 1) * 2) - (((x div 2) + 2) mod ((2 + 1) * 2))) * (2 + 1)) div 2) + 1)
A033157: 1 4 5 8 10 13 14 17 28 31 32 35 37 40 41 44
(((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) * 2) + 1)
A333147: 1 1 1 3 3 5 7 9 11 15 19 23 29 35 43 53
(((x - (((x mod 2) - ((x * x) - (x div ((2 + 2) * 2)))) div (2 + 1))) div 2) + 1)
A239438: 1 1 3 4 6 7 10 12 15 19 22 26 31 35 40 46
(((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)) + 1)
A105164-A105062-A105061-A105056: 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1
(((x * x) div ((x - (x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1)))) + 2)) + 1)
A033552: 1 1 2 2 3 4 5 6 7 8 10 11 13 14 17 19
(((x + 1) * x) - ((((((1 - (x * x)) * (x * x)) div 2) div (2 + 1)) div 2) - 1))
A136396: 1 3 8 19 41 81 148 253 409 631 936 1343 1873 2549 3396 4441
((((2 + 2) * 2) * (x + 1)) - (((2 + 2) * (x + 1)) mod (((2 + 1) * 2) + 1)))
A190709: 4 15 19 30 34 45 56 60 71 75 86 90 101 112 116 127
(((((x + 1) * 2) * (2 + 1)) + x) - (((x + 1) * 2) div (((2 + 1) * 2) + 1)))
A109235: 6 13 20 26 33 40 46 53 60 67 73 80 87 93 100 107
(((((((x * x) * (x * x)) * (x * x)) - 1) * x) div 2) div (((2 + 1) * 2) + 1))
A208545: 0 0 9 156 1170 5580 19995 58824 149796 341640 714285 1391940 2559414 4482036 7529535 12204240
((((x div ((x div (2 + 2)) + 1)) + (x div (2 + 2))) + x) + (((2 + 1) * 2) + 1))
A161992: 7 9 11 13 14 15 17 18 19 21 22 23 25 26 27 28
((1 - (((x div (2 + 1)) * 2) div ((0 - 2) - 1))) + (x div (((2 + 1) * 2) + 1)))
A173022: 1 1 1 2 2 2 3 4 4 4 4 4 5 5 6 7
((2 - ((x + 1) mod ((((x mod 2) - 2) * 2) + 1))) * (x div (((2 + 1) * 2) + 1)))
A233539: 0 0 0 0 0 0 0 2 2 2 3 2 4 2 4 4
((((((2 + 2) * 2) * (2 + 1)) - 1) * (x + 1)) + (x div (((2 + 1) * 2) + 1)))
A038152: 23 46 69 92 115 138 161 185 208 231 254 277 300 323 347 370
(x - ((x - ((((x * x) * x) * (x * x)) * (x * x))) div (((2 + 1) * 2) + 1)))
A054621: 0 1 20 315 2344 11165 39996 117655 299600 683289 1428580 2783891 5118840 8964085 15059084 24408495
(((((((((x * x) div (2 + 1)) - x) div (2 + 1)) * 2) + x) div (2 + 1)) div 2) + 1)
A029144: 1 0 1 1 1 2 2 3 3 4 5 5 7 7 9 10
(((x - ((x * x) div (((((x + 2) + 2) + 2) * 2) - (x div (2 + 1))))) + 2) + 1)
A196119: 3 4 5 6 7 7 8 8 9 9 10 11 11 12 12 12
(1 - (((x * x) * 2) mod ((((2 + 2) * (x + 1)) mod ((x div (2 + 1)) + 2)) + 1)))
A191898: 1 1 1 1 ~1 1 1 1 1 1 1 ~1 ~2 ~1 1 1
(((((x mod (((2 - x) mod ((2 + 2) + 1)) + 2)) div 2) + (x mod (2 + 1))) div 2) + 1)
A293431: 1 1 2 1 2 2 1 1 2 2 2 2 1 1 3 1
((x div (((x div (2 + 2)) + 2) + 1)) mod ((x mod (((x * x) mod (2 + 1)) + 2)) + 1))
A237885: 0 0 0 1 1 1 0 1 1 1 0 2 0 0 2 0
((((x + 1) * 2) - ((((x * x) div ((((2 + 2) * 2) + x) + 2)) + 1) div 2)) + 1)
A186153: 3 5 7 9 10 12 14 16 17 19 20 22 24 25 27 28
(((x mod ((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * (x div 2)) - 1)) * 2) + 1)
A328718-A110180: 1 1 1 1 1 1 1 3 1 1 1 7 5 1 1 1
(((((x * 2) - (0 - (((2 - x) div 2) mod (2 + 1)))) mod ((x div 2) + 1)) div 2) + 1)
A137278: 1 1 1 1 1 2 1 2 1 1 3 3 3 3 3 1
(((((((x mod (((2 + 2) * 2) + 1)) * 2) + x) + 1) mod ((x div 2) + 1)) div 2) + 1)
A134513: 1 1 1 1 1 1 2 2 1 1 1 3 3 1 1 3
(x - ((x - 1) div (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1)))
A131238: 1 1 1 1 3 1 1 4 5 1 1 6 9 7 1 1
((((x + 2) mod (((x mod ((x div (2 + 1)) + 1)) + 1) * ((x mod 2) + 1))) div 2) + 1)
A167204: 1 1 1 1 1 2 1 1 1 2 1 3 2 4 1 1
(((((((x * 2) - (x mod ((2 - (x mod 2)) + 1))) div (2 + 1)) + x) + 1) * 2) + 1)
A122124: 3 5 7 11 15 19 23 25 27 31 35 39 43 45 47 51
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) + 1) div 2) + 1)
A326792: 1 1 1 1 3 1 1 5 5 1 1 7 13 8 1 1
((((((((((x div 2) + 1) div (2 + 1)) * (x + 1)) div 2) div 2) + x) + 1) div 2) + 1)
A303905: 1 2 2 3 4 4 5 6 6 7 9 10 10 11 12 13
((x div ((((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) - 1) mod (x + 1)) + 2)) + 1)
A302792: 1 1 1 1 1 3 1 4 1 5 1 4 1 7 5 1
(((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1)
A342084-A335434-A316784-A295279-A264440-A050334: 1 1 1 1 1 2 1 2 1 2 1 4 1 2 2 3
((((((x - (x mod (((2 + 2) + 1) * 2))) * (2 + 1)) + 1) div (x + 1)) * 2) + 1)
A176028: 3 1 1 1 1 1 1 1 1 1 5 5 5 5 5 3
((compr(\x.(1 - (x mod (((((x div 2) mod (2 + 1)) + 1) * 2) + 1))),(x + 1)) * 2) + 1)
A080384: 5 7 9 11 15 17 19 21 23 27 29 33 35 39 43 45
(((((((((x div 2) + 2) + 2) * ((x - 1) div 2)) div 2) - 1) mod (x + 1)) div 2) + 1)
A168265: 1 1 2 1 2 3 4 1 2 3 4 5 6 1 2 3
(((((((((2 + 2) * 2) * 2) * 2) - ((x div 2) mod 2)) + 1) * (x + 1)) div 2) + 1)
A234942: 17 34 49 65 83
(x div ((((((((x + 1) mod (2 + 2)) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2) + 1))
A258139: 0 0 0 0 0 1 1 0 1 0 2 1 0 1 1 1
((x div ((((x mod (((((x mod 2) * 2) + 1) * 2) + 1)) + 2) mod (x + 1)) + 2)) + 1)
A110102: 1 1 1 2 1 2 2 2 2 2 3 2 4 2 3 4
((((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod (x + 1)) div 2) + 1)
A131402: 1 1 1 1 3 1 1 4 4 1 1 6 7 6 1 1
((compr(\x.((((x div 2) div (((2 + 1) * 2) + 1)) + x) mod (2 + 2)),(x + 1)) - 2) - 1)
A190702: 1 5 9 12 16 20 24 27 31 35 42 46 50 53 57 61
((((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1)) mod ((x + 1) * 2)) + 1)
A231407: 1 4 6
A324705: 1 4 6 8 10 12 14 16 18 20 21 22 24 26 28 30
((((((2 + 2) * 2) + 1) * (x div (2 + 2))) - (x mod 2)) mod (((x + 1) * 2) + 1))
A145831: 0 4 0 8 9 8
((((((((((x * x) + 2) * x) div (2 + 1)) + x) * 2) + x) * (x + 1)) div 2) + 1)
A307621: 1 6 22 63 151 316 596 1037 1693 2626 3906 5611 7827 10648 14176 18521
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1)
A116672-A096806: 1 1 1 1 2 1 1 4 4 1 1 6 11 7 1 1
(((x - ((((((x + 1) * x) div 2) mod (((2 + 1) * 2) + 1)) + 1) div 2)) div 2) + 1)
A120510: 1 1 1 1 2 3 4 4 4 4 4 5 6 7 8 8
(((((x mod (((x div ((((x div 2) mod 2) + 2) * 2)) * 2) + 1)) + 1) div 2) * 2) + 1)
A332547: 1 1 1 1 3 3 1 3 5 5 3 3 7 7 5 1
(((((x mod ((((x * x) div (2 + 1)) mod (x + 1)) + (2 + 1))) + 1) div 2) div 2) + 1)
A281681: 1 1 1 2 1 1 2 1 1 3 1 2 1 1 2 1
(((((((((x + 2) + 2) + 1) * (x div ((2 + 2) + 1))) div 2) + 1) div 2) div 2) + 1)
A029100: 1 1 1 1 1 2 2 2 2 3 5 5 5 5 6 8
(x - ((((((x - ((((1 - x) * x) div 2) div (2 + 1))) div 2) + 1) div 2) div 2) - 1))
A082288-A080444: 1 2 3 4 4 5 6 6 7 8 8 8 9 9 10 10
(((x + 2) div ((2 - ((((x + 2) + 1) mod (((2 + 1) * 2) + 1)) mod 2)) + 2)) + 1)
A070868: 1 1 2 2 2 3 3 4 3 4 4 4 5 4 6 5
(((((((x * x) - 1) + (2 div (x + 1))) mod (((2 + 1) * 2) + 1)) div 2) * 2) + 1)
A122506: 1 1 3 1 1 3 1 7 1 3 1 1 3 1 7 1
(((((((((x - 1) div ((2 + 2) + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1)
A025776: 1 1 1 1 1 2 3 3 3 3 4 5 6 6 6 7
(((((((((((x div 2) mod 2) + x) * (x + 1)) div 2) div 2) div 2) + 1) div 2) div 2) + 1)
A029092: 1 1 1 1 1 2 2 3 3 4 5 5 6 6 8 9
((((2 - ((x + 1) mod ((((1 - x) div ((x div 2) + 2)) * 2) - 1))) div 2) * 2) - 1)
A134444: 1 1 1 3 1 1 3 3 1 1 5 3 3 1 1 5
(((((((((2 + 2) * 2) * 2) mod (x + 1)) + 1) mod ((2 + 2) + 1)) mod 2) * 2) - 1)
A212157: 1 1 ~1 1 ~1 ~1 1 1 1 ~1 1 ~1 ~1 1 ~1 1
(((x * 2) - (((((x + 2) div (2 + 1)) + (x div ((2 + 2) + 1))) div 2) mod 2)) + 1)
A024977: 1 3 5 7 8 10 12 15 17 19 20 22 24 26 28 31
(((x div ((2 + 2) + 1)) + 1) div (((x mod ((x mod ((2 + 2) + 1)) + 2)) * 2) + 1))
A202425: 1 0 0 0 0 0 2 0 0 0 3 0 3 0 0 1
(((((((((x div 2) mod 2) + x) div 2) + 1) * ((x div (2 + 2)) + 1)) div 2) div 2) + 1)
A029072: 1 1 1 1 2 2 3 3 4 4 5 6 8 8 9 10
(((((((((x div ((x mod 2) + 2)) + (x div 2)) * x) div 2) div 2) + 1) div 2) div 2) + 1)
A341462: 1 1 1 1 2 2 3 3 5 5 7 6 10 9 13 12
((x + 2) div ((((((((x * x) + (x div 2)) div 2) + 1) mod (2 + 1)) + 2) * 2) + 1))
A026824: 0 0 0 1 0 0 0 1 1 1 1 1 2 2 3 3
((x + 1) mod (((((((x - 1) mod ((x div 2) + 1)) div 2) mod (2 + 1)) + 2) + 2) + 1))
A090141: 1 2 3 4 0 1 2 2 3 4 5 5 6 0 1 1
((((x div 2) div (((((x * 2) + 1) * x) mod ((2 + 2) * (2 + 1))) + 2)) * 2) + 1)
A204116: 1 1 1 1 3 1 1 1 1 1 1 3 7 3 1 1
(x - (((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) * 2) - 1))
A178493: 1 2 3 2 3 4 5 2 3 4 5 4 5 6 7 2
((((((((x * 2) - (x mod (2 + 2))) div (2 + 1)) + x) * (2 + 1)) div 2) * 2) + 1)
A056531: 1 3 7 13 19 25 27 31 39 43 49 51 61 63 67 73
((((((((x + 2) * x) + (x mod 2)) * (2 + 1)) - (x mod (2 + 1))) div 2) div 2) + 1)
A115283: 1 3 6 13 18 27 37 48 60 76 90 108 127 147 168 193
(((x + 1) div ((((((2 - x) * (2 + 1)) - 1) mod ((x div 2) + 1)) + 2) + 2)) + 1)
A096004: 1 1 1 2 1 2 2 3 2 2 2 3 2 3 3 5
((((((x div 2) - ((((x div 2) + 1) div 2) div 2)) * ((x div 2) + 1)) div 2) div 2) + 1)
A318296: 1 1 1 1 2 2 3 3 4 4 7 7 9 9 11 11
(((((1 - ((x div 2) div (((x mod (2 + 2)) * 2) - 1))) mod (x + 1)) div 2) div 2) + 1)
A159936: 1 1 1 1 1 2 1 1 2 2 1 1 2 3 4 1
((((((((((x + 1) * 2) + 1) * (x + 2)) * 2) + 1) * (x + 1)) div 2) div 2) + 1)
A034131: 4 16 43 92 167 275 422 615 858 1158 1521 1954 2461 3049 3724 4493
((((((((((x mod 2) + 1) * 2) + 1) * 2) * (2 + 1)) mod (x + 1)) div 2) div 2) + 1)
A220163-A207379: 1 1 1 1 1 1 2 2 1 1 2 2 2 1 1 4
((x + 2) - ((x + 1) mod ((((((x * x) div (2 + 1)) mod (x + 1)) div 2) * 2) + 1)))
A089266: 2 3 4 4 6 7 6 9 10 8 12 11 10 15 16 12
(((((2 - ((x * 2) mod ((((x mod 2) + 2) + 2) + 2))) mod (x + 1)) div 2) div 2) + 1)
A133233: 1 1 1 1 1 2 1 1 2 3 1 1 1 3 4 1
(((((1 - (x div (2 - (x mod (1 - ((2 + 2) * 2)))))) mod (x + 1)) div 2) div 2) + 1)
A140751: 1 1 1 1 1 1 2 2 1 1 1 3 3 3 3 1
((((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + ((x + 1) * 2)) * 2) + 1)
A182664: 5 11 15 21 25 29 35 39 43 47 53 57 61 65 69 75
(((((x div 2) div (((0 - x) mod (2 + 2)) + 1)) mod 2) + (((x + 1) div 2) div 2)) + 1)
A342247: 1 1 1 2 2 2 3 4 3 4 4 4 4 5 4 6
(((((((x div 2) * (x div 2)) div 2) + x) div 2) + 1) * ((((x + 1) div 2) div 2) + 1))
A123263: 1 1 2 4 8 8 12 18
(((x div (2 + 1)) + 1) - (x div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)))
A263107: 1 1 1 2 2 1 3 2 2 3 3 3 3 3 3 3
((x - 2) mod ((((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2) * 2) + 1))
A151756: 0 0 0 0 0 0 1 2 0 0 0 0 0 1 5 6
((((((x - (2 - (((x * x) div 2) mod (2 + 1)))) mod (x + 1)) div 2) + 2) * 2) - 1)
A328298-A002374: 3 3 5 5 7 5 7 7 11 11 13 11 13 13 17 17
((((((x * 2) mod ((x div (2 + 2)) + 1)) + 1) + (((x - 1) div 2) mod 2)) div 2) + 1)
A134034: 2 1 1 2 2 1 1 2 2 1 2 2 2 2 1 3
((x + 1) div (((((x + 1) mod ((x mod (((2 + 2) + 1) * 2)) + 2)) + 2) * 2) - 1))
A201558: 0 0 0 0 0 0 0 0 0 0 2 4 2 1 1 2
(((x - ((0 - ((x - (((x + 1) div 2) mod ((2 + 1) * 2))) div 2)) div 2)) * 2) + 1)
A342144-A334420-A305635-A152955-A056911: 1 3 5 7 11 13 15 17 19 21 23 29 31 33 35 37
(((((((((((x div 2) + x) div 2) * 2) + x) * (2 + 1)) div 2) + 2) + 2) * 2) + 1)
A299250: 9 11 21 29 39 41 51 59 69 71 81 89 99 101 111 119
(((x + 2) + 1) div (((((((x - 1) mod ((x div 2) + 1)) div 2) mod 2) + 2) * 2) + 1))
A293229: 0 0 1 1 1 1 1 1 1 1 1 2 3 3 3 2
((((((((((2 + 2) * 2) * (x + 1)) + 1) * (x + 1)) + 2) * 2) * 2) * 2) - 1)
A243580: 87 287 615 1071 1655 2367 3207 4175 5271 6495 7847 9327 10935 12671 14535 16527
((((((((((2 + 2) * 2) * (x + 1)) - 1) * (x + 1)) + 2) * 2) * 2) * 2) - 1)
A243579: 71 255 567 1007 1575 2271 3095 4047 5127 6335 7671 9135 10727 12447 14295 16271
(((((((((((x * 2) * 2) + 1) * 2) + 1) * (x + 1)) + 2) * 2) * 2) * 2) - 1)
A243578: 39 191 471 879 1415 2079 2871 3791 4839 6015 7319 8751 10311 11999 13815 15759
((((((((x * 2) - (x mod 2)) * (((2 + 2) * 2) * 2)) + 2) * 2) * 2) * 2) - 1)
A173406: 15 143 527 655 1039 1167 1551 1679
(((x + 1) * 2) div (((((x mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2) * 2) + 1))
A026220-A026215: 2 1 6 8 3 4 14 5 18 20 7 24 26 9 10 32
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) + 1))
A070714: 0 1 29 9 16 14 30 28 2 15 10 11 12 7 20 27
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1))
A070712: 0 1 4 17 16 5 6 28 2 10 20 13 24 22 19 23
(((x div (((((((x * x) div 2) + 2) + 1) mod ((x + 2) + 2)) + 2) * 2)) * 2) + 1)
A330827: 1 1 1 1 1 1 3 1 1 1 1 3 1 3 1 5
(((2 - ((x div 2) mod (1 - ((x mod ((x mod ((x mod 2) + 2)) + 2)) + 2)))) * 2) + 1)
A205236: 5 5 5 7 5 5 5 7 5 5 5 11 5 5 5 7
((x + 1) div (2 - ((x mod 2) - ((((x - ((x div 2) mod (2 + 2))) div 2) div 2) + 1))))
A265337: 0 1 1 2 1 3 2 2 1 2 2 3 2 3 3 3
((((((x + 2) + 2) * (x + 1)) * (2 + 1)) + x) div ((((2 + 2) * 2) * 2) + 1))
A226332: 0 1 3 5 7 9 12 15 19 23 27 32 37 42 48 54
((((x + 2) * (x + 2)) * (((x + 2) * x) + 1)) * ((((2 + 2) * 2) * 2) - 1))
A316458: 60 540 2160 6000 13500 26460 47040 77760 121500 181500 261360 365040 496860 661500 864000 1109760
((((((2 + 2) * 2) * 2) + 1) * (x + 1)) + (x div ((((2 + 2) * 2) * 2) - 1)))
A033029: 17 34 51 68 85 102 119 136 153 170 187 204 221 238 255 273
((((x + 1) * (2 + 1)) * ((2 + 2) + 1)) + (x mod ((((2 + 2) * 2) * 2) - 1)))
A319282: 15 31 47 63 79 95 111 127 143 159 175 191 207 223 239 240
((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A317902-A317871-A317741-A298963-A298957-A298902-A298187-A298183-A298167-A180760-A098356-A050601: 0 0 0 0 1 0 0 1 1 0 0 2 1 2 0 0
(((x mod (((x + 2) div ((((x div (2 + 2)) mod 2) + (x mod 2)) + 2)) + 2)) div 2) + 1)
A342749: 1 1 2 1 1 2 2 2 1 3 2 3 1 2 1 2
(1 - (x - ((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (((2 + 2) * 2) + 1))))
A178914: 10 9 8 7 6 5 4 3 2 1 90 89 88 87 86 85
(((((x div (2 + 2)) + x) * 2) * (((x + 1) * 2) + 1)) mod (((2 + 2) * 2) + 1))
A309952: 0 1 1 0 2 3 3 2 2 3 3 2 0 1 1 0
(((1 - (((x div 2) mod 2) * 2)) * (((x div 2) + x) + 1)) mod (((2 + 2) * 2) + 1))
A154811: 1 2 5 4 7 8 8 7 4 5 2 1 1 2 5 4
(((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (x + 1)) * (((2 + 2) * 2) + 1))
A111708: 9 18 27 36 45 54 63 72 81 90 1089 1188 1287 1386 1485 1584
((x * 2) - ((((x * 2) div (((2 + 2) * 2) + 1)) mod 2) * (((2 + 2) * 2) + 1)))
A004519: 0 2 4 6 8 1 3 5 7 18 20 22 24 26 19 21
(((((x - (((1 - x) * (2 + 2)) - 1)) * x) * x) div 2) div (((2 + 2) * 2) + 1))
A212251: 0 0 1 6 15 30 54 87 131 189 261 349 456 582 729 900
((((((x div 2) mod 2) * (x + 1)) div 2) div (2 + 1)) + (x div (((2 + 2) * 2) + 1)))
A282290: 0 0 0 0 0 0 1 1 0 1 2 3 1 1 3 3
(x - (((x mod (((x + 1) div ((2 + 2) + 1)) + 1)) + (x div ((2 + 2) * 2))) - 1))
A088468: 1 2 3 4 5 5 7 7 8 9 9 9 12 12 12 12
((2 - ((x div 2) div (0 - 2))) mod ((((x - 2) * 2) mod ((x div (2 + 2)) + 2)) + 1))
A035394: 0 0 0 0 1 0 1 0 0 1 0 2 0 2 1 0
((((((((x mod 2) + 1) mod (x + 1)) * (2 + 1)) + 1) + (x mod (2 + 2))) div 2) + 1)
A061504: 1 2 4 6 3 5 4 6 3 5 4 6 3 5 4 6
((x + 1) div (((x mod ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1) * ((2 + 2) + 1)))
A339893: 0 0 0 0 1 0 1 0 1 1 2 0 2 1 1 0
(((x + 2) mod (((x * 2) mod (((x div (2 + 2)) * 2) - 1)) + 1)) * ((2 + 2) + 1))
A199588-A199363: 0 0 0 0 0 0 0 0 0 0 0 5 20 5 0 0
((((x + 1) div 2) * x) div ((((x + 2) div ((2 + 2) + 1)) + 1) * ((2 + 2) + 1)))
A234309: 0 0 0 0 0 1 1 2 2 3 3 4 4 4 4 6
((((((2 + 1) * x) + 2) * 2) mod (((2 + 2) * (2 + 1)) - 1)) div ((2 + 2) + 1))
A307194: 0 2 1 0 1 0 1 0 1 0 1 0 2 1 0 1
((((((2 + 2) * (2 + 1)) + 1) * (((x + 2) * x) + 1)) - 1) div ((2 + 2) + 1))
A255606: 2 10 23 41 64 93 127 166 210 259 314 374 439 509 584 665
((((((x - ((x div ((0 - 2) - 1)) * 2)) * 2) + 1) * 2) + 1) * ((2 + 2) + 1))
A317657: 15 75 95 115 175 195 215 275 295 315 375 395 415 475 495 515
((((x * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A070685: 0 1 19 9 1 10 36 19 19 36 10 1 9 19 1 0
(((((((x + 2) * 2) * ((x + 2) + 1)) + 1) * 2) * (2 + 1)) * ((2 + 2) + 1))
A069477: 390 750 1230 1830 2550 3390 4350 5430 6630 7950 9390 10950 12630 14430 16350 18390
((((x + 1) * 2) - (((x + 1) mod ((2 + 2) * 2)) mod (2 + 1))) mod ((2 + 2) + 1))
A291711: 1 2 1 2 3 2 3 1 2 3 2 3 4 3 4 2
((((((((x * 2) div ((x div 2) + 2)) + x) div 2) + x) * 2) + 1) mod ((2 + 2) + 1))
A071432: 1 0 2 1 0 2 1 3 2 1 3 2 4 3 0 4
((((2 - (((x + 1) mod ((2 + 2) + 1)) mod 2)) + 1) * (x + 1)) div ((2 + 2) + 1))
A085238: 0 1 1 2 3 2 4 3 5 6 4 7 5 8 9 6
(((((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)) + 1) * 2) * ((2 + 2) + 1))
A154379: 260 510 760 1010 1260 1510 1760 2010 2260 2510 2760 3010 3260 3510 3760 4010
((x div 2) - (x - (((((x * 2) - (x div (0 - 2))) + 1) * 2) * ((2 + 2) + 1))))
A156674: 10 39 59 88 108 137 157 186 206 235 255 284 304 333 353 382
(((((((x * 2) + 1) * 2) * 2) + (x mod ((2 + 2) + 1))) * 2) div ((2 + 2) + 1))
A247060: 1 5 8 12 16 17 21 24 28 32 33 37 40 44 48 49
(((((x * 2) + 1) * (2 + 1)) * (2 + 1)) + (((x + 1) div 2) * ((2 + 2) + 1)))
A155098: 9 32 50 73 91 114 132 155 173 196 214 237 255 278 296 319
(2 - (((x - (((x + 1) * 2) * (2 + 1))) * ((x + 2) + 2)) div ((2 + 2) + 1)))
A034112: 7 13 22 32 44 58 74 93 113 135 159 185 214 244 276 310
((((x * 2) + 1) * 2) - ((x div (2 + 1)) - (((1 - x) * 2) div ((2 + 2) + 1))))
A206813: 2 6 9 12 15 19 22 25 29 31 35 39 41 45 48 51
(((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * 2) - ((x * 2) div ((2 + 2) + 1)))
A121929: 0 46 92 137 183 228 274 320 365 411 456 502 548 593 639 684
((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x + 1) * x) * ((2 + 2) + 1)))
A051943: 0 10 31 64 110 170 245 336 444 570 715 880 1066 1274 1505 1760
((((((x + 1) * x) div 2) * (2 + 1)) + 1) - (((x - 1) * x) div ((2 + 2) + 1)))
A025712: 1 4 10 18 29 42 58 77 98 122 148 177 209 243 280 319
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1))
A277659: 0 0 0 0 0 0 0 1 1 0 0 2 4 2 0 0
((((((x * x) div ((2 + 2) * 2)) + 2) div (2 + 1)) + 1) + (x div ((2 + 2) + 1)))
A027582: 1 1 1 2 2 3 4 4 5 6 7 8 9 10 11 14
((((x * 2) - (x mod ((2 + 2) + 1))) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1)))
A137935: 0 5 10 15 20 51 56 61 66 71 102 107 112 117 122 153
(((x div ((2 + 2) + 1)) div ((x mod ((2 + 2) + 1)) + 1)) + (x mod ((2 + 2) + 1)))
A190594: 0 1 2 3 4 1 1 2 3 4 2 2 2 3 4 3
((((((((((x + 2) * x) + 2) * (2 + 1)) * (2 + 1)) + 1) * x) div 2) + 2) + 1)
A062124: 3 26 94 234 473 838 1356 2054 2959 4098 5498 7186 9189 11534 14248 17358
(((compr(\x.(((x mod ((x mod ((2 + 1) * 2)) + 1)) + 1) mod (2 + 1)),x) + 2) * 2) + 1)
A063139: 9 15 21 27 33 39 45 49 51 57 63 69 75 81 87 93
(((((((((x div (2 + 1)) mod (2 + 1)) + x) + 1) div (2 + 1)) + x) + 2) * 2) + 1)
A106571: 5 7 11 13 17 19 23 25 27 29 31 35 37 41 43 47
(x - ((((x - (((x * x) * x) div (((2 + 2) * (2 + 1)) + x))) div 2) div 2) - 1))
A161306: 1 2 3 4 5 7 9 11 14 17 20 24 28 33 38 44
((((((x * 2) div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + x) + 2) * 2) + 1)
A286265: 5 7 11 13 17 19 23 25 29 31 33 35 37 41 43 47
((((((((x div (((2 + 1) * 2) + 1)) * (2 + 1)) div 2) * 2) + x) * 2) * 2) + 1)
A334525: 1 5 9 13 17 21 25 37 41 45 49 53 57 61 81 85
(x div (((x div 2) mod 2) - ((x - (((x * x) div (x - ((2 - x) div 2))) * 2)) - 1)))
A294108: 0 0 0 1 1 2 1 2 2 2 1 2 2 3 2 2
((((((((x - ((2 - x) div (2 + 2))) div 2) * 2) + x) + 1) * (x + 2)) div 2) + 1)
A026275: 2 4 11 21 28 43 53 73 96 111 139 170 190 226 249 290
((((((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * x) - 1) div ((x + 2) + 2)) + 1)
A326195-A325568: 0 1 1 2 1 2 1 3 2 2 1 3 1 2 1 4
((((((((x - 2) * x) div (2 + 2)) * x) div 2) div (2 + 1)) + ((x * 2) * 2)) + 1)
A093410: 1 4 9 13 18 23 31 38
((((((2 + 1) * x) + 1) * (x + 1)) * ((x * 2) + 1)) * (((x * 2) * 2) + 1))
A011245: 1 120 945 3640 9945 22176 43225 76560 126225 196840 293601 422280 589225 801360 1066185 1391776
(((((((((x div 2) + x) * ((x * 2) + 1)) - 1) * x) + 1) + (x div 2)) * 2) + 1)
A255669: 3 7 61 167
(((((((x * 2) + 1) mod (((x + 1) div (2 + 1)) + 1)) + 1) + (x mod 2)) div 2) + 1)
A236103: 1 2 2 2 2 3 2 2 2 3 2 3 1 3 4 2
((((((x + 2) mod (((x mod (2 + 2)) + 2) + 1)) div 2) + 1) mod ((x mod 2) + 2)) + 1)
A036583: 1 3 2 1 2 3 1 3 2 3 1 2 1 3 2 1
(((((((x + 1) div 2) div (2 + 1)) * (2 + 1)) div 2) + 1) div (((x mod 2) * 2) + 1))
A029225: 1 0 1 0 1 0 2 0 2 0 2 1 4 1 4 1
(((x div ((((x div 2) mod ((2 + 2) + 1)) + 2) + 2)) + 1) div (((x mod 2) * 2) + 1))
A029239: 1 0 1 0 1 0 1 0 2 0 3 1 3 1 3 1
((((x * 2) mod (1 - (x mod (1 - ((2 + 2) * 2))))) + 1) * (((x mod 2) * 2) + 1))
A255896: 1 9 5 6 1
((((((2 + 2) * 2) * (x + 1)) mod (((2 + 2) * (2 + 1)) + 1)) + 1) div (2 + 1))
A190445: 3 1 4 2 0 3 1 4 2 1 3 2 0 3 1 4
(((x div ((x div ((2 - (((x div 2) * x) mod 2)) * (2 + 1))) + 1)) + 1) div (2 + 1))
A229878: 0 0 1 0 1 2
A106752: 0 0 1 0 1 2 1 1 1 1 2 1 1 1 1 1
(((x div (((((x div 2) + 1) div (2 - (x mod 2))) div (2 + 1)) + 1)) + 1) div (2 + 1))
A185894: 0 0 1 1 1 1 2 1 3 1 2 1 2 1 2 2
(2 - (((((x mod ((0 - 2) - 1)) * 2) mod ((x div (2 + 1)) + 1)) + 1) mod (2 + 1)))
A117468: 1 1 1 1 1 1 1 2 0 1 1 2 1 0 1 1
((x div (((x div 2) div (((x mod ((x div (2 + 1)) + 1)) div 2) + 1)) + 1)) mod (2 + 1))
A098082: 0 1 1 1 1 1 1 1 2 1 0 0 0 0 1 0
((((x div (2 + 1)) - (((x + 2) * 2) div (((2 + 1) * 2) + 1))) + 1) * (2 + 1))
A036477: 3 3 0 3 3 0 3 3 3 3 3 3 3 3 3 6
(((x mod ((((((x mod 2) * 2) * 2) + (x mod (2 + 1))) * 2) + 1)) + 1) div (2 + 1))
A072627: 0 0 1 1 0 2 0 2 1 0 0 4 0 1 1 2
((((x + 1) div (((((x * x) - 1) mod ((2 + 1) * 2)) * 2) - 1)) + 1) mod (2 + 1))
A144083: 1 2 1 2 2 1 1 2 2 1 0 1 2 2 1 0
((x + 1) mod (((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1) * (2 + 1)))
A319690: 1 2 0 4 2 0 1 8 0 4 2 0 1 2 0 16
((((((((x div 2) + x) * (x + 2)) + 1) * 2) div ((2 + 2) + 1)) + 1) mod (2 + 1))
A106671: 1 2 0 0 0 0 0 1 1 1 1 0 0 1 0 1
((((((x - 2) div ((x div (2 + 2)) + 2)) + 2) * ((2 + 2) + 1)) + 1) div (2 + 1))
A063905: 2 2 3 3 3 5 5 5 5 5 7 7 7 7 7 7
((((((x + 2) mod ((x div (2 + 2)) + 1)) * x) mod ((2 + 2) + 1)) + 1) mod (2 + 1))
A274886: 1 1 1 1 1 1 1 0 1 1 1 2 2 2 1 1
((x - ((((((x - 1) div 2) * (x div 2)) - x) div ((2 + 2) + 1)) - 1)) mod (2 + 1))
A077614: 1 0 1 2 0 1 1 2 0 0 0 1 1 1 1 1
(((x div ((((x mod (((2 + 1) * 2) + 1)) * 2) - 1) * (2 + 1))) + 1) mod (2 + 1))
A252911: 1 1 1 1 1 1 1 1 0 2 1 1 1 1 2 0
(((((((((x * x) div (2 + 1)) * x) * 2) + 1) * 2) div (2 + 1)) + 1) div (2 + 1))
A190798: 0 0 1 4 9 18 32 50 75 108 147 196 256 324 405 500
((((((((2 + 1) * x) + 2) * ((x + 2) + 1)) div 2) * (2 + 1)) - 1) * (2 + 1))
A304375: 24 87 177 294 438 609 807 1032 1284 1563 1869 2202 2562 2949 3363 3804
((((((x - (x div (((0 - 2) - 2) - 1))) * 2) * 2) div (2 + 1)) + 1) * (2 + 1))
A259754: 3 9 15 18 21 27 33 39 42 45 51 57 63 66 69 75
((((1 - (x div ((0 - 2) - 2))) * (x + 1)) * ((x div (2 + 1)) + 1)) mod (2 + 1))
A092037: 1 1 0 1 2 0 0 0 0 1 2 0 2 2 0 0
((x - (((1 - x) div ((x div 2) + 2)) - 2)) + (((x div (2 + 1)) + 1) div (2 + 1)))
A329898: 2 3 5 6 7 8 10 12 13 14 15 16 17 18 19 21
((((1 - (((x - 1) * 2) mod (((2 + 1) * 2) + 1))) mod (x + 1)) + 1) mod (2 + 1))
A249603: 1 2 0 2 1 1 0 2 2 1 0 2 1 1 0 2
((((((x + 2) * 2) * 2) * (x + 1)) * (((2 + 2) * (x + 1)) - 1)) div (2 + 1))
A267522: 8 56 176 400 760 1288 2016 2976 4200 5720 7568 9776 12376 15400 18880 22848
(((((((x + 2) * x) + 2) * x) + 1) * (((x + 2) * (x + 1)) + 1)) div (2 + 1))
A220892: 1 14 91 364 1085 2666 5719 11096 19929 33670 54131 83524 124501 180194 254255 350896
((((((x + 2) + 1) mod (((x mod ((2 + 1) * 2)) * 2) + 1)) div 2) + 1) mod (2 + 1))
A072617: 1 1 1 1 1 2 1 1 1 0 0 2 1 1 2 0
((x - (x mod (((((1 - x) * 2) div (((2 + 2) * 2) + 1)) * 2) - 1))) div (2 + 1))
A224458: 0 0 1 1 2 2 3 3 3 3 3 4 4 4 4 6
(1 - ((x - (x mod ((((x - (x div (2 + 1))) mod (2 + 1)) * 2) + 1))) mod (2 + 1)))
A143200: 1 1 1 1 0 1 1 ~1 ~1 1 1 0 0 0 1 1
((x - ((x div (((1 - ((x div (2 + 1)) * 2)) div (2 + 1)) - 2)) - 1)) * (2 + 1))
A194412: 3 9 12 15 21 24 27 33 36 39 42 45 48 51 54 57
(1 - (x - (((x * 2) - (((x * 2) - 1) div (((2 + 1) * 2) + 1))) * (2 + 1))))
A190564: 4 6 11 16 18 23 28 33 35 40 45 47 52 57 62 64
(1 - (((((x + 2) * x) + ((x div 2) + 1)) mod (((2 + 1) * 2) + 1)) mod (2 + 1)))
A086823: 0 0 1 1 1 1 1 0 0 1 1 ~1 1 1 0 0
(2 - (x - (((x * 2) - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) * (2 + 1))))
A190548-A187971: 2 7 12 14 19 24 26 31 36 41 43 48 53 55 60 65
(2 - (x - (((x * 2) - (((x + 2) * 2) div (((2 + 1) * 2) + 1))) * (2 + 1))))
A190565: 2 7 9 14 19 21 26 31 36 38 43 48 50 55 60 65
(1 - (x - (((x * 2) - (((x - 2) * 2) div (((2 + 1) * 2) + 1))) * (2 + 1))))
A190559: 4 9 11 16 21 26 28 33 38 40 45 50 55 57 62 67
(x - ((((((1 - x) * (2 + 2)) + 1) * x) * (((2 + 1) * 2) + 1)) * (2 + 1)))
A263229: 0 ~20 128 444 928 1580 2400 3388 4544 5868 7360 9020 10848 12844 15008 17340
((((x - ((x * x) div (((x + 2) * 2) - (x div (2 + 1))))) + 2) + 1) * (2 + 1))
A336756: 9 12 15 15 18 21 21 21 24 24 27 27 27 30 30 33
((1 - ((((x + 2) * x) div 2) mod ((x div ((x div (2 + 1)) + 2)) + 1))) mod (2 + 1))
A340655: 1 1 1 0 1 0 1 0 0 0 1 2 1 0 0 0
(((x * 2) div ((((x - ((x div 2) mod ((2 + 2) + 1))) mod 2) * 2) + 1)) mod (2 + 1))
A219026: 0 0 1 0 2 0 1 2 1 0 2 1 2 2 1 1
((((((((x mod ((2 + 1) * 2)) * 2) - 1) mod (x + 1)) div 2) div 2) + 1) mod (2 + 1))
A225803: 1 1 1 1 1 1 2 1 1 2 2 0 1 1 1 2
(x - ((((x - ((2 - x) div (2 - (x mod ((0 - 2) - 2))))) * 2) + 1) div (2 + 1)))
A319815: 1 0 1 0 1 1 1 1 1 2 2 2 1 2 3 2
(x div (((x mod ((((x mod (((2 + 2) * 2) + 1)) div 2) + 2) + 2)) + 1) * (2 + 1)))
A138385: 0 0 0 0 0 0 0 2 2 1 1 1 1 2 1 2
(1 - (((((2 + 2) + 1) * x) + 1) mod (((((2 + 2) * 2) * 2) + 1) * (2 + 1))))
A076311: 0 ~5 ~10 ~15 ~20 ~25 ~30 ~35 ~40 ~45 1 ~4 ~9 ~14 ~19 ~24
(((((2 mod (1 - (x * 2))) - 1) mod (((x div (2 + 2)) + 2) + 2)) + 1) div (2 + 1))
A331508-A331126: 1 1 1 0 1 1 0 1 1 1 0 1 2 1 1 0
(1 - ((((((x * x) * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) - 1) div (2 + 1)))
A290353-A273712-A238095-A221857-A081718: 1 1 1 1 1 0 1 1 1 0 1 1 2 1 0 1
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A070708: 0 1 20 0 22 14 0 16 8 0 10 2 0 4 23 0
((1 - (((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1))) mod (2 + 1))
A336569: 1 1 1 1 1 0 1 1 1 0 1 2 1 0 0 1
(x - ((((x - (x div (1 - ((2 + 2) * 2)))) div 2) * ((2 + 2) + 1)) div (2 + 1)))
A280269: 0 0 1 0 1 0 1 1 0 1 0 1 1 2 1 0
((((((2 + 2) * 2) + x) * ((x + 2) + 2)) - (x div ((2 + 2) + 1))) + (2 + 1))
A034115: 35 48 63 80 99 119 142 167 194 223 253 286 321 358 397 437
(((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2) + 1) * (2 + 1))
A336754: 9 12 15 15 18 18 21 21 21 24 24 24 27 27 27 27
((((((((x * x) * (2 + 2)) - 1) * x) + 1) * (x + 1)) div (2 + 1)) + (2 + 1))
A221158: 3 5 34 144
(((((x * x) * x) * (x * x)) * (x * x)) mod (((2 + 2) * (2 + 1)) * (2 + 1)))
A070717: 0 1 20 27 4 5 0 7 8 9 28 11 0 13 32 27
(((((x - ((x * x) div (((x + 2) * 2) + x))) * 2) * 2) div (2 + 1)) + (2 + 1))
A196122: 3 4 5 7 7 8 9 11 11 12 13 13 15 16 16 17
(2 - (((1 - ((((x div ((2 + 2) * 2)) + 2) * 2) + x)) * (2 + 1)) * (2 + 1)))
A166311: 29 38 47 56 65 74 83 92 119 128 137 146 155 164 173 182
((((((x + 2) * (x + 1)) div 2) * ((x * 2) + 1)) * ((x + 2) + 1)) div (2 + 1))
A051797: 1 12 50 140 315 616 1092 1800 2805 4180 6006 8372 11375 15120 19720 25296
((((((((x + 2) * 2) * 2) + x) * x) + (2 + 1)) * ((x * 2) + 1)) div (2 + 1))
A034720: 1 16 65 168 345 616 1001 1520 2193 3040 4081 5336 6825 8568 10585 12896
(((((((((2 + 1) * x) + 2) * x) * 2) + 1) * x) * ((x * 2) + 1)) div (2 + 1))
A132123: 0 11 110 469 1356 3135 6266 11305 18904 29811 44870 65021 91300 124839 166866 218705
((((((x - 1) * x) div 2) + ((x * x) * (2 + 1))) * ((x * 2) - 1)) div (2 + 1))
A050410: 0 1 13 50 126 255 451 728 1100 1581 2185 2926 3818 4875 6111 7540
((((((((2 + 1) * 2) + 1) * 2) mod (x + 1)) + 2) * ((x * 2) - 1)) mod (2 + 1))
A091395: 1 2 0 2 0 0 1 2 0 0 2 0 0 2 0 2
((((((x + 2) * (x + 1)) div 2) * ((x + 2) + 1)) div ((x mod 2) + 1)) div (2 + 1))
A067046: 1 2 10 10 35 28 84 60 165 110 286 182 455 280 680 408
(((((((((2 + 2) * (x + 1)) + x) * x) + 1) * 2) + 1) * (x + 1)) div (2 + 1))
A100174: 1 14 59 156 325 586 959 1464 2121 2950 3971 5204 6669 8386 10375 12656
(((0 - (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1))) mod (x + 1)) div (2 + 1))
A322403-A109042: 0 0 0 0 1 0 0 2 2 0 0 3 2 3 0 0
(((((((((x * 2) * 2) * 2) * 2) + 1) * (x + 1)) + 2) * (x + 1)) div (2 + 1))
A213842: 1 24 101 264 545 976 1589 2416 3489 4840 6501 8504 10881 13664 16885 20576
(((((2 - ((x * 2) mod ((2 + 2) + 1))) mod (x + 1)) + 2) div (x + 1)) + (2 + 1))
A137240: 5 4 4 3 4 3 3 4 3 4 3 3 4 3 4 3
(((((((x div (2 + 2)) * (2 + 1)) div 2) * (x + 1)) div 2) * (x + 1)) mod (2 + 1))
A213024: 0 0 0 0 1 0 0 2 0 0 2 0 2 2 0 2
(((((((((x + 2) * x) + (2 + 2)) * 2) + 1) * 2) * 2) * (x + 1)) * (2 + 1))
A192793: 108 360 900 1872 3420 5688 8820 12960 18252 24840 32868 42480 53820 67032 82260 99648
(2 - (compr(\x.(2 - (x mod (((x mod ((2 + 2) + 1)) + 2) + 2))),(x + 1)) mod (2 + 1)))
A026609: 2 1 1 1 0 2 0 2 1 1 0 2 0 2 0 2
((((((((((2 + 1) * x) + 2) * 2) * 2) * 2) * 2) * 2) * (x + 1)) * (2 + 1))
A305073: 192 960 2304 4224 6720 9792 13440 17664 22464 27840 33792 40320 47424 55104 63360 72192
(1 - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A176270: 1 1 1 1 0 1 1 ~1 ~1 1 1 ~2 ~3 ~2 1 1
(((((((((2 + 2) * 2) * 2) + x) - 1) * (x + 2)) div 2) * (x + 1)) div (2 + 1))
A096941: 5 16 34 60 95 140 196 264 345 440 550 676 819 980 1160 1360
((((((((x * 2) + 1) * (x + 1)) + 2) * (x + 2)) div 2) * (x + 1)) div (2 + 1))
A066804: 1 8 34 100 235 476 868 1464 2325 3520 5126 7228 9919 13300 17480 22576
((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x + 2) * (x + 1)) * (2 + 1)))
A101853: 6 18 37 64 100 146 203 272 354 450 561 688 832 994 1175 1376
((((x + 1) div (((2 + 1) * 2) + 1)) + (x div (2 + 1))) + ((x + 1) * (2 + 1)))
A184909: 3 6 9 13 16 19 24 27 30 34 37 40 44 48 51 55
(((x - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) * 2) + ((x + 1) * (2 + 1)))
A189405: 3 8 13 16 21 26 31 34 39 44 49 52 57 62 65 70
((x + 1) - ((((x * 2) div (((2 + 2) * 2) + 1)) * 2) + ((x + 1) div (2 + 1))))
A117632: 1 2 2 3 4 2 3 4 4 3 4 4 5 6 4 5
(x - ((((((2 - (x div 2)) mod (x + 2)) div 2) div 2) * 2) + ((x + 1) div (2 + 1))))
A287732: 0 1 1 2 3 3 2 1 1 2 3 3 4 5 5 4
(((((((2 + 2) * 2) * ((x div 2) + 1)) * (2 + 1)) + x) div (x + 1)) mod (2 + 1))
A172444: 0 0 1 0 0 0 2 0 2 0 2 0 1 0 1 0
(((((((((2 + 2) * 2) * 2) + 1) * 2) * 2) + 1) mod ((x * x) + 1)) mod (2 + 1))
A326787: 0 1 1 0 1 2 2 1 1 0 0 0 0 0 0 0
(((x mod (((((x * x) - 1) div 2) mod ((x div (2 + 1)) + 1)) + 1)) * 2) * (2 + 1))
A194186: 0 0 0 0 0 0 0 0 0 0 0 0 0 18 12 0
((((((x + 2) * 2) - ((x div (2 + 1)) div ((0 - 2) - 1))) + 1) * 2) div (2 + 1))
A134745: 3 4 6 8 9 10 12 13 14 16 17 18 20 22 23 24
((((x + 2) mod ((((x div (2 + 2)) + x) mod ((x div 2) + 1)) + 1)) * 2) * (2 + 1))
A005872: 0 0 0 6 0 0 0 0 0 6 0 6 0 0 0 12
(((((((((2 + 2) * 2) * (x + 1)) + x) * 2) * (x + 1)) - 1) * 2) * (2 + 1))
A304618: 90 402 930 1674 2634 3810 5202 6810 8634 10674 12930 15402 18090 20994 24114 27450
((((((x div ((((x - 1) div 2) mod (2 + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1))
A052435: 0 0 1 1 1 1 1 2 2 2 2 1 2 2 3 2
(((2 - ((1 - x) div ((x div (((x mod 2) * (2 + 1)) + 2)) + 1))) * 2) div (2 + 1))
A067743: 0 1 2 2 2 2 2 3 2 4 2 4 2 4 2 4
((1 - (((x * 2) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2)) mod (2 + 1))
A337939: 1 1 1 1 0 1 1 0 1 1 0 1 2 1 0 1
((1 - (((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) div 2)) mod (2 + 1))
A333580-A333467-A331545-A219987-A187596-A179181-A051159: 1 1 1 1 0 1 1 1 1 1 1 0 2 0 1 1
(((((((2 + 2) * 2) + x) * x) * ((((x + 2) + 2) + 2) + 1)) div 2) div (2 + 1))
A111396: 0 12 30 55 88 130 182 245 320 408 510 627 760 910 1078 1265
(((((((((x mod 2) * 2) * 2) + (x div 2)) * (x + 2)) div 2) + 1) div 2) div (2 + 1))
A114209: 0 1 0 2 1 3 2 5 3 7 5 9 7 12 9 15
((((((((2 + 2) * 2) + x) + 2) * x) * (((x + 2) + 2) + 1)) div 2) div (2 + 1))
A264443: 0 11 28 52 84 125 176 238 312 399 500 616 748 897 1064 1250
((((((((2 + 2) * 2) * 2) + x) * ((x * 2) + 1)) * (2 + 1)) div 2) - (2 + 1))
A283802: 21 73 132
(x - (((x div (((x mod (((2 + 1) * 2) + 1)) + 2) * (2 + 1))) * 2) * (2 + 1)))
A319655: 0 1 2 3 4 5 6 1 8 9 10 11 12 13 2 9
((((x * x) mod ((((x div ((2 + 2) * 2)) + 1) * 2) * (2 + 1))) + 2) div (2 + 1))
A165579: 0 1 2 1 2 1 0 1 2 3 2 1 0 1 2 3
((x div ((((((x + 1) div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + 2)) + (2 + 1))
A090972: 3 3 4 4 4 4 5 5 5 5 5 5 6 6 5 5
((((x - (x mod (1 - (((x div (2 + 2)) + 2) + 2)))) div (2 + 1)) * 2) div (2 + 1))
A157231: 0 0 0 0 0 1 1 1 2 2 2 3 2 4 4 4
(((1 - (((x - (((x - 1) * x) div (2 + 2))) div 2) div (2 + 1))) * 2) * (2 + 1))
A245399: 6 6 6 6 6 6 12 12 12 18 18 24 30 36 42 48
((1 - (((x mod ((x mod (2 + 2)) + 2)) + 1) div ((x mod (2 + 1)) + 2))) mod (2 + 1))
A113045: 1 1 1 2 1 1 0 0 1 1 0 1 1 1 1 1
((((((x - 1) mod (((2 + 2) * 2) + 1)) + 1) * ((x * 2) + 1)) div 2) mod (2 + 1))
A039964: 1 1 2 1 0 0 0 1 2 1 1 2 1 0 0 0
(((((((2 + 2) * 2) * (x + 1)) + x) * (((2 + 1) * x) + 1)) div 2) * (2 + 1))
A304504: 12 102 273 525 858 1272 1767 2343 3000 3738 4557 5457 6438 7500 8643 9867
(((((((x + 2) * x) * (x + 1)) div 2) * (((x + 2) * x) - 1)) div 2) div (2 + 1))
A201106: 0 1 14 70 230 595 1316 2604 4740 8085 13090 20306 30394 44135 62440 86360
((((2 - ((x - 2) mod (((x mod (2 + 2)) * 2) - 1))) mod (x + 1)) div 2) mod (2 + 1))
A342788: 0 0 1 0 1 1 0 1 1 1 0 2 1 1 1 1
((((x + 2) * (x + 2)) div 2) - (((((x * x) - 1) * (x + 1)) div 2) div (2 + 1)))
A081826: 3 4 7 7 6 0
(((((1 - ((x - ((x * x) div (2 + 2))) div 2)) div 2) * (x + 1)) div 2) div (2 + 1))
A319470: 0 0 0 0 0 1 1 2 3 5 7 10 13 18 22 29
((((((((x * 2) * 2) + 1) * ((x + 2) + 2)) + 2) * (x + 1)) div 2) * (2 + 1))
A207020: 9 81 252 558 1035 1719 2646 3852 5373 7245 9504 12186 15327 18963 23130 27864
((((((((2 + 2) + 1) * (x + 1)) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A033994: 2 11 32 70 130 217 336 492 690 935 1232 1586 2002 2485 3040 3672
(((((((((2 + 2) * 2) * 2) + x) + 2) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A096957: 6 19 40 70 110 161 224 300 390 495 616 754 910 1085 1280 1496
((((((((x + 1) * 2) * ((2 + 2) + 1)) + x) * x) * (x + 1)) div 2) div (2 + 1))
A254407: 0 7 32 86 180 325 532 812 1176 1635 2200 2882 3692 4641 5740 7000
((((((((((x + 2) + 2) + 1) * x) - 2) * x) div 2) * (x - 1)) div 2) div (2 + 1))
A328152: 0 0 2 11 34 80 160 287 476 744 1110 1595 2222 3016 4004 5215
(2 - (1 mod ((2 + 1) - ((((((x + 2) + 2) * x) * (x - 1)) div 2) div (2 + 1)))))
A212346: 1 1 2 5 14 28 48 75 110 154 208 273 350 440 544 663
(((((x * x) * 2) - 1) * x) - (((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)))
A050441: 0 1 14 50 120 235 406 644 960 1365 1870 2486 3224 4095 5110 6280
((((x * x) - (x div 2)) * x) - (((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)))
A212570: 0 1 6 23 52 105 178 287 424 609 830 1111 1436 1833 2282 2815
((((((x * x) mod ((((x + 1) mod (2 + 1)) * 2) + 1)) + 1) div 2) * 2) * (2 + 1))
A217219: 0 6 0 0 6 0 0 12 0 0 0 0 0 12 0 0
(x - (1 - (((((x + 2) * 2) - (((x div (2 + 1)) - 1) div 2)) * 2) div (2 + 1))))
A187834: 2 4 7 8 11 13 15 18 20 22 24 26 29 31 33 35
((((((((x * x) * x) * ((2 + 2) + 1)) div (x + 1)) + 1) div 2) * 2) * (2 + 1))
A211616: 0 6 42 102 192 312 462 642 852 1092 1362 1662 1992 2352 2742 3162
((x div 2) - (x - ((((((x - (x div (0 - 2))) * 2) + 1) * 2) * 2) * (2 + 1))))
A167533: 12 59 83 130 154 201 225 272 296 343 367 414 438 485 509 556
(1 - (((((x + 1) mod ((((x + 2) mod (2 + 2)) * 2) + 1)) + 2) * 2) mod (2 + 1)))
A143259: 1 ~1 0 1 0 0 0 ~1 1 0 0 0 0 0 0 1
(((((x div (2 + 1)) + 1) mod (((x + 2) mod ((2 + 2) + 1)) + 2)) + 2) div (2 + 1))
A206474: 1 1 1 0 1 1 1 1 1 1 0 2 2 1 1 1
((((((x div (((x + 1) mod (2 + 1)) + 1)) + 2) div (2 + 1)) + 2) * 2) div (2 + 1))
A174273: 1 1 2 2 2 2 2 2 3 2 2 4 2 2 4 3
(((((((2 + 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1))) * 2) * 2) div (2 + 1))
A189523: 6 13 20 26 33 40 48 54 61 68 74 81 89 96 102 109
((((((x - ((2 - x) div (2 + 2))) - 2) * ((x div 2) + 1)) div 2) * 2) mod (2 + 1))
A035156: 1 1 0 1 2 0 2 1 1 2 0 0 0 2 0 1
((((((((x div (2 + 2)) + 2) + 2) * x) mod ((x div 2) + 1)) + 2) * 2) div (2 + 1))
A064822: 1 1 1 1 2 2 2 3 3 4 1 1 1 1 2 2
(((((x div (2 - (x - ((((2 + 2) * 2) * 2) + 1)))) * 2) * 2) * 2) div (2 + 1))
A308857: 0 0 0 0 0 0 0 0 0 0 2 2 2 5 5 8
((((((x mod ((2 + 1) * 2)) + (x mod ((2 + 2) + 1))) div 2) mod 2) + 2) * (2 + 1))
A023410: 6 9 6 9 6 6 6 9 6 9 6 9 9 6 9 9
((((x - 2) * x) + 1) div (((2 - (x - (((2 + 2) * 2) * 2))) * 2) * (2 + 1)))
A035565: 0 0 0 0 0 0 0 0 0 1 1 2 3 4 7 10
((2 - (((x + 1) * 2) mod (1 - (((x div ((2 + 2) * 2)) + 2) * 2)))) div (2 + 1))
A320955-A318557-A309896-A294220-A288942-A276837-A276719-A262553-A247506-A240608-A238093-A214015-A192517-A182172-A143841-A080934: 1 1 0 1 1 0 1 1 1 0 1 1 2 1 0 1
(2 - (((x mod (((1 - x) mod ((x div ((x mod 2) + 2)) + 2)) + 2)) + 2) div (2 + 1)))
A321787: 2 1 1 2 1 1 2 1 1 1 1 1 0 1 2 1
(((2 + 1) * x) mod (1 - ((x mod ((x mod (1 - ((2 + 2) * 2))) - 2)) div (2 + 1))))
A140807: 0 3 0 1 0 1 0 1 0 0 0 0 0 1 0 1
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * 2) * (2 + 1)))
A070728: 0 1 32 27 16 29 0 7 32 9 16 35 0 37 32 15
((((x mod ((x div ((2 + 2) + 1)) + 1)) + 1) * ((x - 1) mod (2 + 2))) div (2 + 1))
A025870: 1 0 0 0 1 0 0 1 1 0 0 2 1 0 1 2
(((compr(\x.(((x mod (2 + 2)) - 1) - (x mod ((2 + 2) + 1))),x) * 2) * 2) div (2 + 1))
A138083: 0 1 2 4 5 6
A035063: 0 1 2 4 5 6 8 9 10 12 16 17 18 21 22 24
((((((x - 1) * x) div ((((2 + 2) * 2) * (2 + 1)) - x)) + 2) * 2) div (2 + 1))
A005855: 1 1 1 1 1 2 2 2 3 4 5 6 8 10 13 16
((((((x - (((2 - x) div 2) mod (2 + 2))) div (2 + 1)) + x) + 2) * 2) mod (2 + 1))
A194702: 2 0 2 1 0 1 0 1 0 1 0 0 1 0 1 0
((((((((x mod ((2 + 2) * 2)) + 2) mod (x + 1)) + 2) * x) div 2) div 2) div (2 + 1))
A309793: 0 0 0 0 1 1 1 1 2 3 5 6 8 9 11 13
(((((((((x * 2) * (x + 1)) + 1) * 2) * 2) - 1) * (x + 2)) * 2) div (2 + 1))
A152110: 4 38 136 330 652 1134 1808 2706 3860 5302 7064 9178 11676 14590 17952 21794
(x - ((((((x * x) - 2) div (((2 + 2) * (2 + 1)) - 1)) + x) + 2) div (2 + 1)))
A317359: 0 1 1 2 2 2 3 3 3 3 4 4 4 3 3 3
((((x - ((((1 - (x * x)) * x) div (2 + 2)) div (2 + 1))) * x) div 2) mod (2 + 1))
A334108: 0 0 0 1 0 1 0 2 2 1 0 2 0 1 2 1
((((2 + 2) * (x + 1)) + x) - (((((x div (2 + 1)) mod 2) - x) * 2) div (2 + 1)))
A081260: 4 10 16 21 26 32 38 44 50 55 60 66 72 78 84 89
((((2 - x) * 2) div ((((x div 2) div (2 + 1)) + 2) + 2)) + ((x * 2) * (2 + 1)))
A315700: 1 6 12 17 23 28 34 40 45 51 56 62 68 74 80 85
((((((2 + 2) * (x + 1)) + ((x + 1) div (2 + 1))) * 2) + (x div 2)) div (2 + 1))
A206904: 2 5 9 11 14 18 21 23 27 30 33 36 39 42 45 48
((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) + (x mod 2)) div (2 + 1))
A335683: 0 0 0 0 1 0 0 2 2 0 0 4 4 4 0 0
((((((((x * x) + 2) * x) + (((2 + 2) * 2) + 1)) * x) * x) + 2) + (2 + 1))
A089923: 5 17 89 383
(((((((((x * x) + 1) * x) div 2) * ((2 + 2) + 1)) + x) * x) div 2) div (2 + 1))
A139594: 0 1 9 39 116 275 561 1029 1744 2781 4225 6171 8724 11999 16121 21225
(((((x + 2) * x) + 1) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A100182: 1 8 28 68 135 236 378 568 813 1120 1496 1948 2483 3108 3830 4656
((((x div 2) * (x + 1)) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1)))
A294473: 0 0 10 20 60 92 182 248 408 520 770 940 1300 1540 2030 2352
((((x + 1) mod ((x mod ((x div ((x mod (2 + 2)) + 2)) + 1)) + 1)) + x) + (2 + 1))
A096127: 3 4 5 6 8 8 9 10 12 12 14 14 16 18 17 18
(((((((x * 2) - (x div (2 + 2))) div (2 + 1)) * 2) div (2 + 1)) + x) + (2 + 1))
A298108: 3 4 5 7 8 10 11 12 13 15 17 18 19 20 22 24
((((((((x div (2 + 2)) * (x div 2)) div 2) * 2) + x) div (2 + 1)) + x) mod (2 + 1))
A276790: 0 1 2 1 0 1 2 1 1 2 1 0 1 2 1 2
(((((x * 2) - (((x div (2 + 2)) + x) div ((0 - 2) - 1))) * 2) + x) + (2 + 1))
A328987: 3 10 15 20 27 32 39 44 51 56 61 68 73 80 85 90
(((((((x + 2) * (x + 2)) * ((x * 2) + 1)) div (2 + 1)) * 2) + x) + (2 + 1))
A208946: 5 22 57 122 223 366 563 820 1143 1544 2029 2604 3281 4066 4965 5990
((((x - (((x + 2) mod (((0 - x) mod (2 + 2)) + 1)) div 2)) * 2) + x) + (2 + 1))
A287450: 3 4 9 12 15 16 19 24 27 28 33 36 39 40 45 48
((((x div (((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2)) + 2) + x) div (2 + 1))
A060973: 0 1 1 2 2 2 3 4 4 4 4 4 5 6 7 8
((((((x + 1) * 2) - (((x * x) div (x + 2)) mod (2 + 2))) * 2) + x) - (2 + 1))
A292151: 1 6 9 14 17 20 31 34
(((((x * 2) - ((2 - ((x div (2 + 2)) + x)) div (2 + 2))) * 2) + x) + (2 + 1))
A303592: 3 8 13 20 25 30 37 42 47 54 59 64 71 76 81 86
(((((((((x - 1) div 2) * (x div 2)) div (2 + 1)) * 2) + x) * 2) + x) + (2 + 1))
A289761: 3 6 9 12 15 22 29 36 43 50 57 68 79 90 101 112
(((((((((2 + 2) * (2 + 1)) - 1) * x) div (x + 2)) + x) div 2) + x) + (2 + 1))
A185547: 3 6 8 10 12 14 16 17 19 21 22 24 25 27 28 30
(compr(\x.((((1 - (x * 2)) div (((2 + 2) * 2) + 1)) mod 2) - (x mod 2)),x) mod (2 + 1))
A085794: 0 1 0 2 0 1 2 0 2 1 0 1 2 0 1 0
((((x mod (((((1 - x) * x) div 2) mod (2 + 2)) + 1)) div 2) + 1) + (x div (2 + 1)))
A272612: 1 1 2 2 2 3 3 4 3 4 5 4 5 5 5 7
(((((2 + 1) * x) + 2) - ((x + 1) div (((2 + 1) * 2) + 1))) + (x div (2 + 1)))
A190000: 2 5 8 12 15 18 21 24 27 31 34 37 41 43 46 50
(2 - ((1 - (x div (((((2 - (x div 2)) div 2) div 2) - 2) - 1))) - (x div (2 + 1))))
A029309: 1 0 0 1 0 0 1 1 1 1 1 1 2 1 2 3
((((((x mod ((x mod 2) + 2)) mod 2) + (x mod 2)) + 1) mod (x + 1)) + (x div (2 + 1)))
A234300: 0 1 1 3 2 3 3 5 3 5 4 5 5 7 5 7
((((x + 1) div (((2 + 1) * 2) + 1)) + ((2 + 2) * (x + 1))) + (x div (2 + 1)))
A189527: 4 8 12 17 21 25 31 35 39 44 48 52 57 62 66 71
(((((((x - 1) * x) div ((2 + 2) * 2)) + 1) mod 2) - (x mod 2)) + (x div (2 + 1)))
A029169: 1 0 1 1 1 1 2 1 2 2 3 2 5 3 5 5
(((((((((x * 2) * 2) * 2) + 1) * (((x * 2) * 2) + 1)) + 1) * x) * 2) + 1)
A160250: 1 93 617 1957 4497 8621 14713 23157 34337 48637 66441 88133 114097 144717 180377 221461
(((((((((x + 2) * x) div (2 + 2)) + x) * (x + 1)) div (2 + 1)) + x) div 2) + 1)
A008369: 1 1 4 6 11 16 25 33 47 60 79 98 124
(((((((x mod ((x div 2) + 1)) div 2) + ((x * 2) * 2)) * (2 + 1)) + x) div 2) + 1)
A339950: 1 7 14 20 27 35 41 48 54 62 69 75 82 90 96 103
((((((((x + 2) * 2) + x) * (x + 1)) div 2) + 1) * (((2 + 1) * x) + 2)) + 1)
A230018: 7 41 129 298 575 987 1561 2324 3303 4525 6017 7806 9919 12383 15225 18472
((((((x - ((x div 2) div (2 + 1))) + (x div ((2 + 2) + 1))) div 2) + x) * 2) + 1)
A284884: 1 3 7 9 13 17 19 21 25 27 31 35 37 39 43 47
(((((((((x * x) - 2) div ((x + 2) + 2)) + 1) * (2 + 1)) div 2) - x) div 2) + 1)
A029307: 1 0 0 1 0 0 1 1 1 1 2 1 1 2 2 2
((((((((2 + 2) * 2) * 2) * 2) * (((x + 2) + 2) + 1)) - 1) * (x + 2)) + 1)
A250660: 319 574 893 1276 1723 2234 2809 3448 4151 4918 5749 6644 7603 8626 9713 10864
(((((((x * x) + (x div 2)) div (((2 + 1) * 2) + 1)) * 2) - 1) mod (x + 2)) - 1)
A194759: 0 1 2 0 2 4 0 3 6 0 4 8 12 3 8 13
((((((x * 2) + 1) * x) div ((((2 + 1) * 2) * (2 + 1)) + 1)) + (x * 2)) + 1)
A097911: 1 3 5 8
A027922: 1 3 5 8 10 13 17 20 24 28 32 36 40 45 50 55
((((x div (((x div (2 + 2)) + 2) + 2)) + ((x + 2) div (2 + 1))) + (x * 2)) + 1)
A231407: 1 4 6
A226250: 1 4 6 8 11 14 16 19 21 23 26 28 30 33 36 38
((((x - ((x - ((x div 2) mod ((2 + 2) + 1))) div (2 + 1))) div 2) + (x * 2)) + 1)
A189679: 1 3 6 8 11 13 15 18 20 23 24 27 29 31 34 36
((((((2 - x) mod (((x div (2 + 2)) + 2) + 1)) + x) div (2 + 2)) + (x * 2)) + 1)
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A342871: 1 3 5 8 10 12 14 17 20 22 24 26 28 30 32 36
((((((x + 1) * x) * ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A193249: 1 153 755 2107 4509 8261 13663 21015 30617 42769 57771 75923 97525 122877 152279 186031
((((((x * 2) * (x + 1)) * (2 + 1)) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A193253: 1 183 905 2527 5409 9911 16393 25215 36737 51319 69321 91103 117025 147447 182729 223231
((((((x * x) * (2 + 2)) * (2 + 1)) * ((2 + 2) + 1)) + 1) * ((x * 2) + 1))
A272126: 1 183 1205 3787 8649 16511 28093 44115 65297 92359 126021 167003 216025 273807 341069 418531
(((((((x - 1) mod (2 + 1)) * ((2 + 1) * x)) div 2) div 2) + 1) + ((x * 2) + 1))
A193841: 2 4 7 12 10 15 23
((((((((x + 2) * 2) + x) * (x + 1)) div 2) * (x + 1)) div 2) div ((x * 2) + 1))
A025709-A025703: 1 2 4 7 11 15 20 26 33 40 48 57 67 78 89 101
(((((((x div (2 + 1)) + x) * (x + 1)) div 2) div ((2 + 2) + 1)) + (x div 2)) + 1)
A225527: 1 1 2 3 5 6 9 11 14 17 20 22 27 30 35 40
((2 - ((2 - x) div (((2 mod ((x div (2 + 2)) + 1)) * 2) + 1))) mod ((x div 2) + 1))
A276646: 0 0 0 1 1 2 2 3 4 4 4 4 4 5 5 5
(((((((x + 2) * 2) + x) * (x + 1)) div 2) + ((2 + 2) + 1)) * ((x div 2) + 1))
A218554: 7 12 40 62
(((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * (((2 + 2) + 1) mod ((x div 2) + 1)))
A189232: 0 0 0 0 0 0 0 1 0 0 0 5 5 0 0 0
((((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) - 1) * (2 + 1)) mod ((x div 2) + 1))
A340328: 0 0 1 1 0 0 1 1 2 2 3 3 2 2 1 1
((x - (((2 + 1) - ((((x div 2) + x) div 2) * 2)) * (2 + 1))) mod ((x div 2) + 1))
A229878: 0 0 1 0 1 2
A324904: 0 0 1 0 1 2 1 0 0 1 1 2 1 2 1 0
((((x mod (((x mod (2 + 1)) div 2) + 2)) + 1) div ((x div 2) + 1)) * ((x div 2) + 1))
A243310: 1 2 2 2 0 3 0 0 0 0 0 0 0 0 0 0
((((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 2)) + x) + 1) mod ((x div 2) + 1))
A308210: 0 0 1 0 1 0 2 1 1 1 4 1 5 2 2 3
(x - ((((x div 2) mod ((2 + 2) + 1)) div 2) * (((2 + 2) * 2) mod ((x div 2) + 1))))
A064895: 0 1 2 3 2 3 6 7 2 3 10 11 12 13 14 15
(((((((2 + 1) * x) mod ((x div (0 - 2)) - 1)) mod 2) + 1) + x) + ((x div 2) + 1))
A274436: 2 4 5 6 8 10 11 12 15 16 17 18 20 22 23 24
(((((x - ((((x + 1) div 2) div 2) div 2)) * 2) div (2 + 1)) + x) + ((x div 2) + 1))
A206815: 1 2 5 7 9 11 14 15 17 19 22 23 26 28 30 31
(((((((x div 2) * 2) + 1) * 2) * (2 + 1)) + ((x + 1) * x)) div ((x div 2) + 1))
A328537: 6 8 12 15 16 20 21
(((((((((x div 2) * (x - 1)) div 2) - 1) div 2) div (2 + 1)) + 1) - (x mod 2)) + 1)
A029141: 1 0 1 1 2 1 3 2 4 3 5 5 7 6 9 9
((((((((x + 2) * x) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1) * (x mod 2)) + 1)
A328570: 1 2 1 3 1 3 1 2 1 4 1 4 1 2 1 4
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + (x mod 2)) + 1)
A325565-A065704: 1 2 1 3 1 2 1 4 2 2 1 3 1 2 1 5
((x - 1) mod ((((((x + 2) + 1) mod (((2 + 1) * 2) + 1)) mod 2) + (x mod 2)) + 1))
A307505: 1 0 1 0 0 1 0 0 0 2 0 0 1 0 1 0
((((((((((x div 2) + 1) * (x - 1)) div 2) div 2) div 2) + 1) div 2) - (x mod 2)) + 1)
A029172: 1 0 1 0 2 1 2 2 3 3 4 4 6 5 8 7
(x - ((((((x div 2) - ((2 - x) div ((x div 2) + 2))) + 1) mod 2) - (x mod 2)) - 1))
A307747: 1 2 3 4 5 7 6 8 9 10 11 13 12 14 15 17
((((((x div (2 + 1)) + 1) div ((x mod ((x mod 2) + 2)) + 1)) mod 2) + (x mod 2)) + 1)
A055020: 2 2 2 2 1 2 2 3 2 2 1 3 2 2 2 2
(((((((x + 1) * x) + 1) div (((x div (2 + 1)) + x) + 1)) mod 2) - (x mod 2)) + 1)
A257857: 2 1 1 0 2 0 1 1 1 1 2 0 2 0 2 1
(((((((((x div 2) + x) * x) + 1) div ((2 + 2) + 1)) mod 2) * 2) + (x mod 2)) + 1)
A105500: 1 2 3 2 3 4 3 2 3 4 1 4 3 4 3 2
(((((((1 - (x mod (2 + 2))) mod (x + 1)) mod (2 + 1)) mod 2) * 2) + (x mod 2)) + 1)
A100661: 1 2 1 2 3 2 1 2 3 2 3 4 3 2 1 2
((((((x - (((x * x) div 2) mod (x + 2))) div (2 + 1)) mod 2) * 2) + (x mod 2)) + 1)
A105584: 1 2 1 4 1 2 3 2 1 2 1 4 3 4 1 4
(((((x div ((x mod (0 - 2)) - 2)) mod ((x div (2 + 1)) + 2)) div 2) + (x mod 2)) + 1)
A214180: 1 2 1 3 1 2 1 2 1 3 1 2 1 2 3 3
(((x div ((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 2)) + 2)) + (x mod 2)) + 1)
A326198-A076640: 1 2 2 3 2 4 2 4 3 5 2 5 2 5 3 5
((x + 1) - (((((x * x) mod ((((x + 1) div 2) div 2) + 2)) mod 2) - (x mod 2)) + 1))
A222234: 0 1 2 4 3 5 6 7 8 9 10 11 12 14 13 15
(((((x mod ((x div ((x mod 2) + 2)) + 2)) mod 2) + ((x + 2) * 2)) + (x mod 2)) + 1)
A127500: 5 9 9 12 13 16 18
((((((((x div 2) div (2 + 1)) * (x div 2)) div 2) + 1) div 2) + 1) div ((x mod 2) + 1))
A029218: 1 0 1 0 1 0 2 1 2 1 2 1 4 2 5 2
(compr(\x.(x mod ((x mod (((((x * x) + 1) * 2) mod ((x div 2) + 1)) + 1)) + 1)),x) + 1)
A344979-A328867-A326536-A324769-A322902-A302040-A302036-A273130-A014567: 1 2 3 4 5 7 8 9 11 13 16 17 19 21 23 25
(compr(\x.(((x + 2) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) - 1),x) + 1)
A182625: 1 2 3 4 5 6 8 10 11 12 14 19 20 21 22 24
(compr(\x.((x + 1) mod ((x div (((2 - ((x mod (2 + 1)) div 2)) * 2) + 1)) + 1)),x) + 1)
A187041-A097752-A014866: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 21 24
(compr(\x.((x + 1) mod ((x mod ((x div ((x div ((2 + 2) * 2)) + 2)) + 1)) + 1)),x) + 1)
A259227-A064150: 1 2 3 4 6 8 9 10 12 15 16 18 20 21 24 25
(compr(\x.((x + 1) mod ((x div (((x mod (2 + 1)) + 1) * ((2 + 2) + 1))) + 1)),x) + 1)
A248888-A124455-A112587-A072378: 1 2 3 4 5 6 8 9 10 12 14 15 16 18 20 24
(compr(\x.((x + 1) mod (((x mod ((2 + 2) + 1)) mod ((x div (2 + 2)) + 1)) + 1)),x) + 1)
A067942: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 21
(((x * x) div ((((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1) + x)) + 1)
A069345: 1 1 2 2 4 4 6 5 7 8 10 9 12 12 13 12
(compr(\x.(((x - (1 - (x div ((x div ((2 + 2) + 1)) + 1)))) mod (2 + 1)) - 1),x) + 1)
A028734: 2 3 5 6 8 10 11 12 13 14 17 19 20
(compr(\x.(((((((x - 1) div 2) mod (2 + 2)) + 1) * (x + 1)) mod (2 + 1)) - 1),x) + 1)
A330998: 1 3 5 6 7 9 10 12 14 15 16 18 19 20 21 22
(compr(\x.(2 - ((x + 1) mod (((((x * 2) mod (2 + 1)) * 2) * (2 + 1)) + 1))),x) - 1)
A275672: 0 1 3 4 6 7 9
A126332: 0 1 3 4 6 7 9 10 15 16 18 21 22 25 27 28
(compr(\x.(1 - (x mod (((((1 - x) * x) mod ((2 + 2) * 2)) * (2 + 1)) + 1))),x) - 1)
A119356: 1 2 3 4 5 6 9 10 11 14 17 18 19 20 21 22
(compr(\x.((x + 1) mod (((x - ((x + 1) mod (2 + 1))) mod ((x div 2) + 1)) + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A048597: 1 2 3 4 6 8 12 18 24 30
(compr(\x.((x + 1) mod (((((x mod (2 + 1)) div 2) + 2) mod ((x div 2) + 1)) + 1)),x) + 1)
A141551: 1 2 4 6 12 24 36 48 60 72 84 96 108 120 132 144
(compr(\x.(1 - (x mod (((x + 2) mod (((1 - x) mod ((x div 2) + 1)) + 2)) + 1))),x) + 1)
A324561: 2 4 6 7 8 10 11 12 13 14 16 18 20 21 22 23
(compr(\x.((x + 1) mod ((x mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2)) + 1)),x) + 1)
A068090: 1 2 3 4 5 6 8 9 10 12 14 15 18 20 24 25
(((((x * x) * (x + 2)) div ((((((2 + 2) * 2) * 2) * 2) * 2) + 1)) + x) + 1)
A114829: 1 2 3 4 6 8 11 14 18 23 29 36 44 53 63 74
(((((x mod (((2 + 2) * (2 + 1)) - 1)) + 1) * (((2 + 2) * 2) + 1)) + x) + 1)
A194233: 10 20 30 40 50 60 70 80 90 100 110 21 31 41 51 61
(((((((2 + 2) * (2 + 1)) + 1) * ((x div 2) + 1)) div ((2 + 2) + 1)) + x) + 1)
A286750: 3 4 8 9 12 13 17 18 22 23 26 27 31 32 35 36
(compr(\x.(1 - ((((x mod ((2 + 2) * 2)) + 1) * (x + 1)) mod ((2 + 2) + 1))),x) + 1)
A343109: 1 2 3 4 6 7 8 9 11 12 14 16 17 18 19 22
(compr(\x.(1 - ((((x + 2) div ((x div (2 + 2)) + 2)) + x) mod ((2 + 2) + 1))),x) + 1)
A071591: 1 2 3 5 6 7 10 11 12 13 14 15 16 17 19 20
(compr(\x.((x - (((x + 1) * 2) mod (((2 + 2) * (2 + 1)) + 1))) mod (2 + 1)),x) + 1)
A191104: 2 5 9 12 13 16 19 20 23 27 30 34 37 41 44 48
(((((x * 2) - (((x - 1) * 2) div (((2 + 1) * 2) + 1))) * (2 + 1)) - x) - 1)
A190553: 2 4 9 14 19 21 26 31 33 38 43 48 50 55 60 62
(((((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) * (2 + 1)) + x) + 1)
A188383: 7 14 24 31 41 48 55 65 72 82 89 96 106 113 123 130
(compr(\x.(1 - ((((x + 2) * x) - ((2 - x) div ((2 + 2) + 1))) mod (2 + 1))),x) - 1)
A261406: 1 2 3 5 6 7 8 9 10 11 13 16 17 18 20 21
((x + 1) mod (2 - ((x + 1) mod ((((x - (x div (2 + 1))) mod (2 + 1)) - x) - 1))))
A330462: 1 0 1 0 1 0 0 2 1 0 0 2 2 0 0 0
((((((((x * 2) + 1) div (((2 + 2) * 2) + 1)) * 2) * 2) div (2 + 1)) + x) + 1)
A048264: 1 2 3 4 6 7 8 9 10 12 13 14 15 18 19 20
((((x - (x mod ((((x div 2) mod ((2 + 2) + 1)) + 2) + 2))) div (2 + 1)) + x) + 1)
A279455: 1 2 3 4 5 6 7 10 11 12 13 14 16 17 19 20
(((((((x * x) * x) div ((((2 + 2) * 2) * 2) + x)) - x) div (2 + 1)) + x) + 1)
A008669: 1 1 2 3 4 6 8 10 13 16 20 24 29 34 40 47
((((compr(\x.(1 - (x mod ((x mod (2 + 1)) + 2))),(x + 1)) + 1) mod (x + 1)) + x) + 1)
A176590: 1 2 5 6 8 10 11 12 14 15 16 17 18 20 22 23
(((x - ((((x * x) div (2 + 2)) + (x * x)) div 2)) div 2) + (((x + 1) * x) + 1))
A194117: 1 3 7 12 18 26 35 45 57 70 85 101 118 137 157 178
((((((((x * x) * x) + 1) * x) * (x * x)) + 1) * x) * (((x + 1) * x) + 1))
A228293: 0 9 1022 29523 349524 2441405 12093234 47079207 153391688 435848049 1111111110 2593742459 5628851292 11488207653 22250358074 41189313615
(compr(\x.((x mod ((((x - ((1 - x) div (2 + 1))) mod (2 + 1)) * 2) + 1)) mod 2),x) + 1)
A092253: 1 3 4 5 6 8 10 12
A136497: 1 3 4 5 6 8 10 12 13 15 16 17 18 19 21 22
((((((((x + 2) * 2) * 2) * (x + 1)) div (((2 + 1) * 2) + 1)) * 2) + x) + 1)
A159465: 3 8 15 26 39 54 71 90 111 134 161 190 221 254 289 326
(((((((x + 1) * 2) * (2 + 1)) + (x div (((2 + 2) * 2) + 1))) * 2) - x) - 1)
A302438: 11 22 33 44 55 66 77 88 99 112 123 134 145 156 167 178
((((((((x * x) div (2 + 2)) div ((x + 2) + 1)) + 1) * (2 + 1)) div 2) + x) + 1)
A074946: 2 3 4 5 6 7 10 11 12 13 14 16 17 18 19 22
((((((((x * x) div 2) * (2 + 1)) div ((2 + 2) + 1)) * (2 + 1)) div 2) + x) + 1)
A025733: 1 2 4 7 11 16 22 29 37 46 56 66 77 89 102 116
((((x - ((((((x - 2) * 2) mod (x + 2)) div 2) - 1) div (2 + 1))) div 2) + x) + 1)
A187482-A026347: 1 3 4 5 7 8 10 12 13 14 16 17 19 20 21 23
(((((x div (((x div (2 + 2)) + 2) + 2)) + ((x + 2) div (2 + 1))) * 2) + x) + 1)
A288695: 1 4 5 6 9 12 13 16 17 18 21 22 23 26 29 30
((((((((x + 1) * 2) * ((2 + 2) + 1)) + (x div 2)) * (2 + 1)) div 2) - x) - 1)
A321371: 14 28 43 57 73 87 102 116 132 146 161 175 191 205 220 234
(((((x - ((x div (0 - 2)) * ((2 + 2) + 1))) * ((x div 2) + 1)) div 2) + x) + 1)
A193053: 1 5 10 17 26 36 49 62 79 95 116 135 160 182 211 236
((((x * 2) - (((x - (((x div 2) mod ((2 + 2) + 1)) - 1)) div 2) div 2)) + x) + 1)
A189514: 1 4 7 10 13 15 18 21 24 27 29 31 34 37 40 43
(((((x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) - 1)) * 2) * 2) + x) + 1)
A257222: 5 10 15 20 25 30 35 40 45 50 51 52 53 54 55 56
((((x - ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2)) * 2) + x) + 1)
A342138: 1 0 3 2 5 8 7 10 13 16 15 18 21 24 27 26
((((((((x * x) + 1) * (2 + 1)) - (x div ((2 + 2) + 1))) div 2) div 2) + x) + 1)
A083462: 1 3 6 11
A022338: 1 3 6 11 17 25 34 45 57 71 86 103 121 141 162 184
(((((((x div ((2 + 2) + 1)) + (x div (2 + 1))) * (2 + 1)) div 2) div 2) + x) + 1)
A228894: 1 2 3 4 5 7 9 10 11 13 14 15 17 18 19 22
(((((((x + 1) * 2) - ((x + 2) mod ((2 + 2) * (2 + 1)))) * 2) * 2) + x) + 1)
A242594: 1 6 11 16 21 26 31 36 41 46 99 104 109 114 119 124
((((((x * x) - ((((x - 1) * x) div (2 + 2)) * (2 + 1))) div 2) div 2) + x) + 1)
A262439: 1 2 4 5 6 8 10 12 14 16 19 22 24 27 30 33
(((((((((((x div 2) + 1) div 2) div 2) + 1) * (x + 1)) div 2) div 2) div 2) + x) + 1)
A302505: 1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22
(((((((((x div (2 + 2)) + x) + 1) div 2) + ((x + 1) * 2)) * 2) * 2) - x) - 1)
A101865: 7 18 25 36 47 54 65 72 83 94 101 112 123 130 141 148
(((((((((x div ((2 + 2) * 2)) + x) * (2 + 1)) div 2) div 2) * 2) * 2) + x) + 1)
A045929: 1 2 7 12 17 18 23 28 33 38 43 48 49 54 59 64
(((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * (x div 2)) div 2) + x) + 1)
A193457: 1 2 3 4 5 6 7 8 9 10 11 12 16 20 25 30
((((((((x div (2 + 1)) + 2) * ((x div (2 + 2)) + 1)) div 2) + x) div 2) + x) + 1)
A027440: 1 3 4 6 8 10 12
A024511: 1 3 4 6 8 10 12 13 16 18 19 21 25 26 28 30
((((((((x * x) mod ((((2 + 2) * 2) + x) + 1)) div 2) div 2) + x) div 2) + x) + 1)
A342778: 1 2 4 6 7 9 10 11 14 15 16 17 21 22 23 24
((((((((((x + 2) * x) - (x div 2)) div (2 + 1)) + x) div 2) + x) div 2) + x) + 1)
A025218: 1 3 5 7 9 12 15 18 21 24 28 31 35 39 43 47
(((((x * x) - ((((x + 2) * x) div 2) div (2 + 1))) div 2) + ((x + 2) * x)) + 1)
A022793: 1 4 10 19 31 46 63 83 106 132 161 193 227 264 304 347
(compr(\x.(1 - (((x mod ((((x - 2) div (2 + 1)) * 2) - 1)) mod 2) + (x mod 2))),x) + 1)
A153170: 2 4 6 8 10 11 12 14 16 18 20 21 22 24 25 26
(((x div ((((2 + 2) + 1) mod ((x mod ((2 + 1) * 2)) + 1)) + 1)) + 1) * (x + 1))
A131959: 1 2 3 8
A129202: 1 2 3 8 25 6 49 32 27 50 121 24 169 98 75 128
((((x div 2) mod (((1 - x) mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1) mod (x + 1))
A284154-A084115: 0 1 1 2 1 1 1 1 2 1 1 3 1 1 1 2
((((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1) * (x + 1))
A344370: 1 2 3 4 5 12 7 16 9 20 11 36 13 28 30 32
(((((x - ((2 + 2) * (x + 1))) * x) mod ((x div (2 + 1)) + 1)) + 1) mod (x + 1))
A328195-A328026-A304687-A304465-A235875-A076558: 0 1 1 2 1 2 1 3 2 2 1 2 1 2 2 4
compr(\x.((x div (((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) * 2) - 1)) - 1),(x + 1))
A032906-A032872: 1 2 3 4 5 6 7 8 9 10 18 19 20 27 28 29
compr(\x.(((x mod (((2 + 2) + 1) * 2)) - (x div (((2 + 2) * 2) + 1))) - 1),(x + 1))
A098395: 1 10 11 12 20 21 22 23 30 31 32 33 34 40 41 42
(((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + 1) * (x + 1))
A135323: 1 2 3 4 5 12 7 8 9 20 11 36 13 28 30 16
(((x mod ((((1 - ((2 + 2) * 2)) mod ((x div 2) + 2)) div 2) + 1)) + 1) mod (x + 1))
A245562: 0 1 1 2 1 1 1 2 3 1 1 1 1 1 1 2
compr(\x.((x + 1) mod ((x div (((x mod (2 + 1)) + 1) * ((2 + 2) + 1))) + 1)),(x + 1))
A078448: 1 2 3 4 5 7 8 9 11 13 14 15 17 19 23 24
compr(\x.(x mod (((x - ((x * x) div (((x + 2) + 2) + 1))) mod (2 + 1)) + 1)),(x + 1))
A154660: 3 4 5 6 7 8
A066378: 3 4 5 6 7 8 10 12 14 16 18 20 21 24 27 30
(((((x - ((x mod ((2 + 2) * 2)) - 1)) * (2 + 1)) * (2 + 1)) + 1) * (x + 1))
A020337: 10 20 30 40 50 60 70 80 738 820 902 984 1066 1148 1230 1312
((((x mod (((2 + 2) * 2) + 1)) + 1) * (((2 + 2) * (2 + 1)) - 1)) mod (x + 1))
A103168: 0 0 0 0 0 0 0 0 0 1 0 9 5 13 6 13
compr(\x.((x mod (((2 + 2) + 1) * 2)) - (x mod (((2 + 2) * (2 + 1)) - 1))),(x + 1))
A308393-A032889: 1 2 3 4 5 6 7 8 9 10 20 21 30 31 32 40
(((((((((x * 2) + 1) * (2 + 1)) + x) * x) div 2) * (2 + 1)) + 1) * (x + 1))
A318159: 1 32 156 436 935 1716 2842 4376 6381 8920 12056 15852 20371 25676 31830 38896
(((x mod (((2 - ((((x div 2) div (2 + 1)) mod 2) * x)) * 2) + 1)) + 1) div (x + 1))
A014044: 1 1 1 1 1 0 0 ~1 ~1 ~1 ~1 ~1 0 0 0 0
((((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) + 1)) + 1) * (x + 1))
A103623: 1 10 1023 29524 349525 2441406 12093235 47079208 153391689 435848050 1111111111 2593742460 5628851293 11488207654 22250358075 41189313616
compr(\x.((x mod ((x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))) + 2)) - 1),(x + 1))
A285523: 1 2 3 4 5 6 7 8 9 11 12 13 17 18 21 22
compr(\x.(x mod (((x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))) div 2) + 1)),(x + 1))
A180478: 1 2 3 4 5 6 7 8 9 11 12 14 15 21 22 24
((((((2 + 2) * 2) * 2) + 1) - (x div ((((2 + 2) * 2) * 2) - 1))) * (x + 1))
A044857: 17 34 51 68 85 102 119 136 153 170 187 204 221 238 255 256
((((x mod (((2 + 2) * (2 + 1)) - 1)) + 1) * (((2 + 2) * 2) + 1)) mod (x + 1))
A337171: 0 0 0 0 0 0 0 0 0 0 0 9 5 13 6 13
compr(\x.(x - ((x mod (((2 + 2) + 1) * 2)) * ((x div ((2 + 2) * 2)) + 1))),(x + 1))
A032998: 1 2 3 4 5 6 7 8 9 16 17 18 19 27 28 29
((2 - ((((((x div ((2 + 2) + 1)) + 2) * x) div (2 + 2)) mod 2) - 1)) mod (x + 1))
A073855: 0 1 2 2 3 2 3 2 3 3 3 2 3 2 3 3
(((((((x + 2) + 2) * ((x + 2) + 2)) * 2) + x) * ((2 + 2) + 1)) + (x + 1))
A060641: 161 257 373 509 665 841 1037 1253 1489 1745 2021 2317 2633 2969 3325 3701
(((x mod (2 + 1)) - ((x mod (((2 + 2) * (2 + 1)) + 1)) mod (2 + 1))) + (x + 1))
A102452: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 14
(x mod (x - (((((2 + 2) * (2 + 1)) - 1) * ((x - 1) div (2 + 1))) div (x + 1))))
A173883: 0 0 0 0 0 1 1 2 2 2 3 2 2 3 2 2
(((((((((x * x) * x) + 1) * x) - 1) * (x - 1)) div 2) div (2 + 1)) div (x + 1))
A245679: 0 0 0 6 25 69 154 300 531 875 1364 2034 2925 4081 5550 7384
((((((((2 + 2) * 2) + x) * ((x + 2) + 2)) + 2) * 2) * (2 + 1)) - (x + 1))
A228320: 203 280 369 470 583 708 845 994 1155 1328 1513 1710 1919 2140 2373 2618
((((((((((x * x) * 2) + 1) * x) * 2) * (2 + 1)) - x) * 2) + 1) * (x + 1))
A169712: 1 70 639 2716 7885 18306 36715 66424 111321 175870 265111 384660 540709 740026 989955 1298416
(compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1)) * (x + 1))
A071228: 4 12 24 36 50 72 98 120 144 180 220 252 286 336 375 416
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((x * 2) + 1) * (x + 1)))
A051937: 1 7 19 38 65 101 147 204 273 355 451 562 689 833 995 1176
(((((x mod (((((x div 2) mod 2) - 2) - 2) - 1)) mod 2) + (x mod 2)) + 1) mod (x + 1))
A171900: 0 0 1 3 2 2 1 3 1 3 1 3 2 2 1 3
((((((((((x * x) + 2) * x) div (2 + 1)) + 1) * x) * x) div 2) + 1) * (x + 1))
A131509: 1 4 33 220 1005 3456 9709 23528 50985 101260 187561 328164 547573 877800 1359765 2044816
((compr(\x.(1 - (x mod ((x mod (((x + 2) div (2 + 1)) + 1)) + 1))),x) - 1) mod (x + 1))
A094699: 0 0 1 2 3 4 5 5 5 5 5 5 5 6 6 6
((compr(\x.(1 - (x mod (((x div (0 - 2)) mod ((2 + 2) * 2)) + 1))),x) + 1) + (x + 1))
A211218: 3 5 7 9 11 14 16 18 20 22 25 30 32 34 36 38
((((x - (1 - (((((2 + 1) * x) + 2) * 2) * (2 + 1)))) * x) + 1) * (x + 1))
A100159: 1 62 297 820 1745 3186 5257 8072 11745 16390 22121 29052 37297 46970 58185 71056
compr(\x.(((x + 1) mod ((((x * 2) mod ((x div (2 + 1)) + 2)) * 2) + 1)) mod 2),(x + 1))
A243494: 1 2 3 4 5 6 8 10 11 12 13 14 16 20 22 23
compr(\x.(((((2 + 2) + 1) * x) mod (((((2 + 2) * 2) * 2) * 2) + 1)) mod 2),(x + 1))
A191176: 2 4 6 7 9 11 13 14 16 18 21 23 25 28 30 32
compr(\x.((((((2 + 1) * 2) + 1) * x) mod ((((2 + 2) * 2) * 2) + 1)) mod 2),(x + 1))
A188323: 2 3 6 9 10 12 13 16 17 19 20 23 26 27 29 30
(((x - ((x mod (((2 + 2) * 2) + 1)) - 1)) * (((2 + 2) + 1) * 2)) - (x + 1))
A089186: 9 8 7 6 5 4 3 2 1 90 89 88 87 86 85 84
((x - (((x div (((((x div 2) * x) mod 2) - 2) * 2)) div (2 + 1)) * 2)) mod (x + 1))
A102396: 0 1 1 1 1 1 1 3 1 1 1 3 1 3 3 5
(((((((((x div (2 + 2)) mod 2) + (x * 2)) + 1) * 2) + 1) * 2) * 2) - (x + 1))
A161451: 11 26 41 56 79 94 109 124 131 146 161 176 199 214 229 244
((((((((x mod ((x mod 2) + 2)) + x) * (x + 2)) div 2) + 1) div 2) * 2) mod (x + 1))
A330492: 0 0 1 0 2 0 3 4 4 0 5 0 6 8 7 0
((x - (((x - (((x div 2) - 1) div (((x mod 2) * 2) + 1))) div 2) * 2)) mod (x + 1))
A287597: 0 1 0 1 2 1 2 1 4 1 4 1 6 1 6 3
((((((x + 2) * x) div ((2 + 2) + 1)) + (((x * 2) + 1) * 2)) * 2) div (x + 1))
A261491: 4 6 7 8 8 9 10 10 11 11 12 12 12 13 13 14
(((((((((x - 1) div 2) * (x div 2)) div 2) mod (x + 1)) div 2) + 2) * 2) div (x + 1))
A266145: 4 2 1 1 0 1 0 1 1 1 1 0 0 0 0 0
((x + 2) - ((((x + 2) * 2) div (((2 + 2) * 2) + 1)) - ((2 + 2) * (x + 1))))
A072353: 6 11 16 20 25 30 35 39 44 49 54 59 63 68 73 78
((((x * x) div (((x + 2) * 2) + (x mod (2 + 2)))) + ((x * 2) * 2)) + (x + 1))
A315491: 1 6 11 16 22 27 33 38 44 49 54 60 66 71 76 82
((((x div ((0 - (((x div 2) + 1) mod (2 + 1))) - 1)) mod 2) + (x * 2)) + (x + 1))
A189724: 1 5 8 11 13 17 20 22 26 29 31 35 37 41 44 47
compr(\x.((((x - (((x div 2) mod 2) * 2)) div (2 + 1)) mod (2 + 1)) - (x mod 2)),(x + 1))
A033055: 1 2 3 5 7 9 11 13 15 20 21 22 23 28 29 30
((((x * x) * x) div ((((2 + 2) + 1) * (x + 1)) + ((x * x) div 2))) + (x + 1))
A275341: 1 2 3 5 6 8 11 13 15 18 20 23 25 28 30 33
((((((((x mod ((2 + 2) + 1)) * 2) - 1) mod (x + 1)) div 2) mod 2) + x) + (x + 1))
A189516: 1 3 5 7 10 11 13 16 17 20 22 23 26 27 30 32
(((((((x * x) + 1) * x) + 1) * (((2 + 1) * 2) + 1)) - 1) div ((x * x) + 1))
A168102: 6 10 15 21 28 35 42 49 56 63 70 77 84 91 98 105
(((((((x * x) * (x * x)) + 1) * x) - 1) * x) * (((x * x) * (x * x)) - 1))
A218133: 0 0 990 58800 1047540 9762480 60458370 282458400 1073709000 3486725280 9999899910 25937263440 61917115260 137858120400 289254116970 576649631040
((((x + 1) div (((x * 2) div ((((x div (2 + 1)) + 2) * 2) + 1)) + 1)) - 1) div 2)
A024880: 0 0 1 1 0 1 1 1 1 2 2 1 2 1 2 2
((((x + 1) div ((x mod (((((x div (2 + 1)) mod 2) + 2) * 2) + 1)) + 1)) + 1) div 2)
A104368: 1 1 1 1 1 1 2 1 1 2 1 1 2 2 2 4
(((((x * 2) + 1) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 1)) + 1)) + 1) * 2)
A133946: 2 2 4 2 2 6 2 2 4 8 2 6 2 2 10 2
(x - ((x mod (((((x + 1) div 2) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1)) * 2))
A283165: 0 1 2 3 4 3 6 7 8 7 6 7 12 11 14 15
((((x + 1) mod ((((x div 2) div (2 + 1)) + 1) * ((x mod (2 + 1)) + 1))) + 1) div 2)
A245718: 0 0 0 0 1 0 1 0 2 0 2 0 1 1 3 1
((x + 1) div (((x div 2) div ((x mod ((x mod ((2 - (x mod 2)) + 1)) + 1)) + 1)) + 2))
A124044: 0 1 1 2 1 2 1 2 3 2 1 3 1 2 3 3
((((x + 1) mod ((((x mod ((x mod (2 + 2)) + 1)) + 1) mod (x + 1)) + 1)) + 1) div 2)
A060209: 0 0 0 0 1 0 1 2 1 1 1 1 1 1 2 1
(((x mod ((((((x * x) * 2) mod ((x div 2) + 2)) * 2) mod (x + 1)) + 1)) + 1) div 2)
A036414: 0 0 0 0 0 0 1 0 2 0 1 1 0 2 2 0
((((x + 1) mod (((2 - ((x * x) mod ((x + 2) + 2))) mod (x + 1)) + 1)) + 1) div 2)
A286106: 0 0 1 0 1 0 2 1 1 0 0 0 1 0 1 1
((((((x + 2) * x) + 1) mod ((((x div ((2 + 2) * 2)) + 1) * 2) + 1)) + 1) div 2)
A339160-A301365-A290453-A185700-A180424-A123149-A055892-A055290: 1 1 0 1 1 0 1 1 1 0 1 2 2 1 0 1
(((x div ((x div ((((x mod ((2 + 1) * 2)) mod (2 + 2)) + 1) + 2)) + 1)) + 1) div 2)
A256122: 0 1 1 2 1 1 1 2 2 2 1 2 1 2 2 3
(((x + 2) div (((x + 2) mod ((x div (((x + 1) mod (2 + 1)) + 2)) + 1)) + 1)) + 2)
A090370: 4 5 6 4 8 5 4 6 12 4 14 8 4 5 18 4
(((((x div (2 + 1)) - ((x + 1) * (2 + 1))) mod (((2 + 1) * 2) + 1)) + 1) div 2)
A190431: 2 1 3 2 0 2 1 3 2 1 3 1 0 2 1 3
((x - (((1 - ((x div (2 + 2)) * 2)) mod ((((x + 1) div 2) div 2) + 1)) - 1)) div 2)
A338365: 0 1 1 1 2 2 3 3 4 5 5 5 5 5 6 8
((((x div (2 + 1)) + 1) mod (((x div 2) - ((x + 1) div ((2 + 2) + 1))) + 1)) + 2)
A117183: 2 2 3 2 2 2 2 2 5 3 2 2 2 2 2 3
(((((((2 + 1) * 2) + 1) div (x + 1)) + 1) * ((x div ((2 + 2) + 1)) + 1)) div 2)
A303599: 4 2 1 1 1 2 2 1 1 1 1 1 1 1 1 2
(2 - ((x mod 2) - (((1 - (x div (2 + 1))) mod ((x div ((2 + 2) + 1)) + 1)) * 2)))
A020738: 2 1 2 1 2 1 4 3 4 1 4 3 2 1 2 1
(x - ((((x mod (((2 + 2) + 1) * 2)) - x) * ((x div ((2 + 2) + 1)) + 1)) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A343403: 0 1 2 3 4 5 6 7 8 9 25 26 27 28 29 35
((((((x div 2) - 1) mod ((((x div 2) + 2) div (2 + 1)) + 1)) * (2 + 1)) + 1) div 2)
A328828: 0 0 0 0 2 2 0 0 0 0 2 2 3 3 3 3
((x - (((x - ((2 - ((x div 2) * x)) div ((2 + 2) + 1))) mod (2 + 1)) - 1)) div 2)
A269862: 0 0 0 1 2 2 3 3 3 4 4 5 5 6 7 8
((((((((2 + 2) * 2) * ((x mod 2) + 1)) mod (x + 1)) + 2) div (2 + 1)) + 1) div 2)
A335885-A335875: 0 0 1 0 1 1 1 0 2 1 2 1 2 1 2 0
((((x + 2) - ((((x * 2) div (1 - ((2 + 2) * 2))) * 2) div (2 + 1))) + 1) * 2)
A174164: 6 10 12 14 18 20 22 24 26 28 30 34 36 38 40 44
((((x - 1) * x) div (((2 - (x - (((2 + 2) * 2) * 2))) * (2 + 1)) - 1)) div 2)
A326469: 0 0 0 0 0 0 0 0 0 1 1 2 3 5 8 13
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A070686: 0 1 18 39 2 31 12 27 36 3 6 9 32 29 26 13
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) + 1) * 2))
A070707: 0 1 24 3 4 21 20 19 18 9 10 15 12 13 14 11
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A070703: 0 1 18 9 16 3 8 17 2 15 10 11 12 7 20 5
((((((1 - (x div (((2 - x) div (2 + 2)) - 2))) * x) div 2) div (2 + 1)) + 1) + 2)
A002036: 3 3 3 4 5 5 6 6 7 9 9 10 11 11 12 13
((((((x + 2) * (x + 2)) * (x + 1)) div 2) * (((x + 2) * (2 + 1)) + 1)) div 2)
A206808: 7 45 156 400 855 1617 2800 4536 6975 10285 14652 20280 27391 36225 47040 60112
(((((((x * x) div (2 + 1)) + x) div 2) mod (2 + 1)) * ((x div (2 + 1)) + 1)) div 2)
A298139-A298087-A297876: 0 0 0 0 1 0 0 3 3 0 0 2 0 2 0 0
(((x - (((1 - x) div ((x div 2) + 2)) - 2)) + 1) + (((x div (2 + 1)) + 1) div 2))
A118300-A090864: 3 4 6 8 9 10 11 13 14 16 17 18 19 20 21 23
((((x + 1) div (((((x div 2) + 1) div (2 + 1)) + 1) + (x mod (2 + 1)))) + 1) div 2)
A210763: 1 1 1 2 1 1 2 1 1 3 1 1 2 2 2 3
(x div ((((x + 1) div (((((x mod 2) * 2) * 2) + 1) + (x mod (2 + 1)))) + 1) * 2))
A294881: 0 0 0 1 0 2 0 1 1 1 0 2 0 2 1 1
(((((x * x) + 1) div (((((x * x) div ((2 + 2) + 1)) + x) div 2) + 1)) + 1) + 2)
A205677: 4 5 5 6 7 7 8 8 8 9 9 9 9 10 10 10
(((((x mod (((x mod ((2 + 1) * 2)) + 1) * 2)) + 1) mod ((x div 2) + 1)) + 1) div 2)
A060763: 0 0 1 0 1 0 1 0 2 1 1 0 1 1 2 0
((((((x * x) * 2) mod (((x div (2 + 2)) + 2) + 2)) mod ((x div 2) + 1)) + 1) div 2)
A127499: 0 0 0 0 1 0 1 2 1 0 1 1 1 1 0 1
(2 - ((x mod ((x - (((x * x) * x) div ((((2 + 2) + 1) * x) + 1))) + 1)) mod 2))
A275308: 2 1 2 2 2 1 2 2 1 1 2 2 1 2 1 1
(((((((x * x) * x) div (((2 + 2) * (2 + 1)) - 1)) + 2) div (x + 1)) + 1) div 2)
A300788: 1 1 0 1 1 1 2 2 3 3 4 5 6 7 8 10
(x div ((x div ((x mod (((x mod (((x + 1) mod (2 + 1)) + 1)) + 1) * 2)) + 1)) + 2))
A091064: 0 0 0 1 0 1 0 2 0 1 2 1 0 1 0 3
(x div ((x div (((x mod (((1 - x) mod (((2 + 2) * 2) + 1)) + 1)) div 2) + 1)) + 2))
A257109: 0 0 0 1 1 1 0 1 1 0 0 1 2 2 1 0
((((x + 1) div (((((x + 2) + 1) mod ((x div (2 + 2)) + 1)) + 1) * 2)) + 1) div 2)
A324286: 0 1 1 1 1 2 1 2 1 3 1 1 1 4 2 1
((x mod 2) - (((x + 1) div (((x div (((x div 2) mod (2 + 1)) + 1)) * 2) + 1)) mod 2))
A156707: ~1 1 ~1 0 ~1 1 0 1 ~1 0 ~1 0 0 1 ~1 0
((((x mod ((((x * 2) mod (((2 + 2) * 2) + 1)) mod (x + 1)) + 1)) mod 2) + 1) * 2)
A066691: 2 2 2 2 2 4 2 4 2 2 4 4 4 2 2 4
(((x div (((x div ((((x + 2) mod ((2 + 1) * 2)) + 1) * 2)) + 1) * 2)) + 1) div 2)
A056557: 0 0 1 1 0 1 1 2 2 2 0 1 1 2 2 2
(((((x div 2) + 1) div (((x mod (1 - (x div ((0 - 2) - 2)))) + 1) * 2)) + 1) div 2)
A344981: 0 0 1 0 1 0 1 1 0 1 1 0 2 0 0 2
(((((((((x * x) * x) mod (x - ((2 - x) div 2))) div 2) div 2) + 1) div 2) + 1) * 2)
A051464: 2 2 2 2 4 4 2 2 4 2 4 2 4 6 4 4
(((((x - (x div ((1 - ((2 + 2) * 2)) * 2))) * ((2 + 2) + 1)) div 2) + 1) div 2)
A266728: 0 3 4 5 6 8 9 10 11 13 14 15 16 18 19 21
((2 - (x div (0 - ((x div (((x + 2) mod ((x div (2 + 2)) + 1)) + 2)) + 1)))) - 2)
A304333: 0 1 1 2 2 3 2 3 3 3 2 3 3 5 2 3
(((((((((x * x) div (2 + 2)) + x) + 1) * (x + 1)) * (2 + 1)) div 2) + 1) div 2)
A256524: 1 3 9 18 34 54 84 120 169 225 297 378 478 588 720 864
(((x - 1) mod (1 - ((x + 1) mod (((((2 - x) div 2) div (2 + 1)) * 2) - 1)))) div 2)
A198066: 0 0 0 1 0 0 1 0 0 0 2 1 1 0 0 1
(1 - ((((((x + 2) * x) + 1) * ((x mod 2) + 1)) mod (((2 + 1) * 2) + 1)) div 2))
A011635: 1 1 0 ~1 ~1 0 1 0 ~1 ~1 0 1 1
(2 div ((((((0 - x) mod (2 + 2)) + 1) div 2) - (x div (((2 + 1) * 2) + 1))) + 2))
A029360: 1 0 0 0 1 0 0 1 2 0 1 1 2 0 2 2
(((((x div 2) - (((2 - x) div 2) mod (2 + 1))) mod ((x div (2 + 1)) + 2)) + 1) div 2)
A166291-A105422: 1 0 1 1 0 1 1 2 0 1 2 2 3 0 1 3
(((x div ((x div (((((x div 2) + 1) mod (2 + 1)) + (x mod 2)) + 1)) + 2)) + 1) div 2)
A078508: 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 2
((((((((x * x) div ((x mod (2 + 2)) + 1)) * 2) + 1) * (x + 1)) div 2) + 1) + 2)
A254310: 3 4 7 13 85
(((x div ((((((x * x) - (x div 2)) div (2 + 1)) * 2) mod (x + 1)) + 2)) + 1) div 2)
A133009: 0 0 0 1 0 1 1 0 1 2 1 1 2 1 1 4
(((x div (((((x * x) mod ((2 + 2) + 1)) - (x div 2)) mod (x + 1)) + 2)) + 1) div 2)
A335621: 0 0 1 0 0 0 0 1 2 1 1 1 0 0 1 1
(((((((((x * 2) - (x div (2 + 1))) - 1) * 2) + 1) * (x - 1)) div 2) + 1) div 2)
A003192: 0 0 2 5 10 17 24 35 47
(((((((((x div ((x mod 2) + 2)) * (x + 1)) + 1) div 2) + 1) div 2) div 2) + 1) div 2)
A308302: 0 0 0 0 1 1 2 1 2 2 4 2 5 4 7 5
((((x + 1) div ((((((x * x) div 2) + 1) div ((2 + 2) + 1)) mod 2) + 2)) + 1) div 2)
A174807: 0 1 1 1 1 2 1 1 2 3 3 3 3 2 3 4
((((((x + 1) * x) - (((((x * x) + (x div 2)) div 2) - 1) div 2)) div 2) + 1) div 2)
A238381: 0 1 2 3 4 6 8 11 14 18 21 25 30 35 40
((((x + 1) * x) mod (((x mod ((((x + 1) div 2) div (2 + 1)) + 2)) * 2) + 1)) + 2)
A064132: 2 4 2 2 2 2 2 4 4 2 4 8 2 4 2 4
(2 - ((x * x) div (0 - (((((x * 2) div ((x div (2 + 1)) + 2)) mod 2) + 1) + 2))))
A083132: 2 3 4 5 8 9 11 15 24
((((((((((x mod 2) * 2) + (x div (2 + 1))) * x) div 2) + 1) div 2) div 2) + 1) div 2)
A005044: 0 0 0 1 0 1 1 2 1 3 2 4 3 5 4 7
((((((((((x div 2) * x) div (2 + 2)) + 1) * (x + 1)) div 2) div 2) div 2) + 1) div 2)
A026810: 0 0 0 0 1 1 2 3 5 6 9 11 15 18 23 27
((x mod ((x div ((((((x div (2 + 1)) * (x + 1)) div 2) div 2) mod 2) + 2)) + 1)) div 2)
A234504: 0 0 0 0 0 0 0 1 1 0 2 1 1 3 2 3
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) + 1) * 2))
A070715: 0 1 26 11 30 27 14 29 32 19 22 3 24 21 6 25
(x - ((x - (((((x + 2) * x) + 2) * x) div ((((2 + 2) * 2) * 2) + 1))) div 2))
A175829: 0 1 2 3 5 8 12 17 23 31 41 52 66 82 100 121
(((((x + 1) * 2) mod (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 1) div 2)
A286562: 1 1 0 1 1 0 1 0 0 0 1 2 1 0 0 1
((((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 2)
A266547: 2 2 2 2 3 2 2 3 3 2 2 4 5 4 2 2
(((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 2)
A138139: 2 2 2 2 3 2 2 3 3 2 2 3 5 3 2 2
(1 - (((x mod (((1 - (((x * x) div (2 + 1)) + 2)) mod (2 + 2)) + 2)) + 1) div 2))
A105966: 1 0 0 0 1 1 0 0 1 0 0 0 0 ~1 0 0
((((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) + 1) * (((2 + 2) * 2) + 1)) - 2)
A131030: 16 7 7 16 25 25 16 7 7 16 25 25 16 7 7 16
((((((x - 1) * x) + 2) * (((x + 2) + 2) + 1)) mod (((2 + 2) * 2) + 1)) + 2)
A251754: 3 5 3 3 2 6 3 8 9 3 5 3 3 2 6 3
((x mod (((((((x * x) * (2 + 2)) * 2) + 1) mod ((x div 2) + 2)) * 2) + 1)) div 2)
A052998: 0 0 0 0 0 1 3 0 0 0 1 2 0 0 0 0
((1 - (x mod (1 - ((((x * 2) - 1) mod (((2 - (x mod 2)) * 2) * 2)) + 1)))) div 2)
A076849: 0 0 1 0 2 0 0 0 3 0 1 0 1 0 1 0
((((x mod ((((((2 + 2) * 2) * 2) mod (x + 1)) * 2) + 1)) mod (2 + 2)) + 1) div 2)
A081396: 0 0 1 0 1 1 1 0 0 1 1 1 1 2 1 0
(((((x - 1) mod (((x + 1) div ((2 + 2) + 1)) + 1)) + 1) * ((2 + 2) + 1)) div 2)
A107604: 2 2 2 2 5 2 5 2 5 7 2 5 7 2 5 7
(((x - (((((1 - x) * (2 + 2)) - 1) * 2) * (2 + 1))) * ((2 + 2) + 1)) * 2)
A154360: ~180 70 320 570 820 1070 1320 1570 1820 2070 2320 2570 2820 3070 3320 3570
((((x - ((x div (((2 + 2) * (0 - 2)) - 1)) - 1)) * 2) * ((2 + 2) + 1)) - 2)
A166729: 8 28 38 48 58 68 78 88 98 108 128 138 148 158 168 178
((((((((2 + 2) + 1) * x) - 1) * ((2 + 2) + 1)) - 2) * ((2 + 2) + 1)) * 2)
A154361: ~70 180 430 680 930 1180 1430 1680 1930 2180 2430 2680 2930 3180 3430 3680
(((((((2 + 1) * 2) - (x mod (2 + 1))) * (x + 1)) div 2) mod ((2 + 2) + 1)) div 2)
A096587: 1 0 0 1 1 1 0 0 1 0 1 2 2 0 0 1
(x div (x - (1 - (x mod (1 - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2)))))))
A277967: 0 1 2 1 1 0 1 0 1 1 1 1 0 0 0 1
(((x div (((2 + 1) * 2) + 1)) + ((x + 1) * (2 + 1))) mod (((2 + 2) + 1) * 2))
A094561: 3 6 9 2 5 8 1 5 8 1 4 7 0 3 7 0
((((2 - (x - (((x * 2) * 2) * 2))) * (x + 1)) div 2) mod (((2 + 2) + 1) * 2))
A194826: 1 9 4 6 5 1 4 4 1 5 6 4 9 1 0 6
((((((x mod 2) + x) * (2 + 1)) + x) * ((x mod 2) + 2)) mod (((2 + 2) + 1) * 2))
A140684: 0 1 6 5 2 9 8 3 4 7 0 1 6 5 2 9
((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div ((2 + 2) + 1)) + 2)
A054125: 2 2 2 2 2 2 2 3 3 2 2 4 4 4 2 2
((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) * (((x mod (2 + 2)) + 1) div 2))
A277899: 0 0 0 0 0 1 0 0 0 2 1 2 0 1 0 0
(((x mod (((((x mod ((2 + 2) + 1)) + 1) mod (2 + 2)) + (x mod 2)) + 2)) + 1) div 2)
A306345: 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 2
(((((x * 2) - ((((x - 2) div (2 + 1)) - x) div (2 + 1))) + 1) * (2 + 1)) div 2)
A189513: 3 6 9 12 16 19 22 25 28 33 36 39 42 46 49 52
(((((x mod ((((2 + 1) * x) mod ((x div 2) + 2)) + 1)) div 2) + 1) * (2 + 1)) div 2)
A231147: 1 1 1 1 1 1 3 1 1 1 1 4 3 4 1 1
((((x * 2) + 1) mod (((((x div ((2 + 2) + 1)) mod 2) * 2) + 1) * (2 + 1))) div 2)
A330267: 0 0 1 0 0 1 2 3 4 0 0 1 0 0 1 2
((((((((2 + 2) * 2) * 2) + 1) * (x + 1)) div ((2 + 2) + 1)) * (2 + 1)) div 2)
A330173: 4 9 15 19 25 30 34 40 45 51 55 60 66 70 76 81
((((((x div 2) div (((2 + 1) * 2) + 1)) + x) * ((2 + 2) + 1)) div (2 + 1)) + 2)
A028738: 2 3 5 7 8 10 12 13 15 17 18 20 22 23
A028763: 2 3 5 7 8 10 12 13 15 17 18 20 22 23 27 28
((((((x mod (((x - 1) mod (2 + 2)) + 1)) * x) mod (2 + 2)) + 1) * (2 + 1)) div 2)
A331735: 1 1 1 1 1 1 1 6 1 1 1 4 1 1 1 1
(((((x * x) mod (((((x + 1) div 2) div 2) + 2) + 2)) mod (2 + 1)) * (2 + 1)) div 2)
A072024: 0 1 0 1 1 0 1 1 1 0 1 3 1 1 0 1
(((((((((x + 1) div 2) div 2) div 2) + x) * (2 + 2)) div (2 + 1)) * (2 + 1)) div 2)
A061641: 0 1 3 6 7 9 12 15 18 19 21 24 25 27 30 33
(((compr(\x.(((((x mod 2) * x) - x) div (2 + 1)) mod (2 + 1)),x) + 1) * (2 + 1)) - 2)
A291745: 1 4 10 16 22 25 28 34 40 46 49 52 55 58 64 70
(((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) * ((x - 1) div (2 + 1))) div 2)
A326636: 0 0 0 0 0 0 0 0 0 0 1 1 3 4 8 10
((((((x div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + ((x - 1) mod (2 + 1))) div 2)
A025840: 1 0 0 1 0 1 1 0 1 1 1 1 2 1 1 3
(((((x - ((x div ((0 - 2) - 2)) * 2)) * ((2 + 2) + 1)) + 2) div (2 + 1)) * 2)
A244033: 0 10 14 18 20 30 34 38 40 50 54 58 60 70 74 78
(((((((2 + 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1))) div 2) * (2 + 1)) div 2)
A292662: 3 7 10 15 18 22 27 30 34 37 42 45 49 54 57 61
(((((((x - 1) mod (2 + 1)) + (x div (2 + 1))) * (x + 1)) div 2) div (2 + 1)) div 2)
A307018: 0 0 0 1 0 1 2 1 2 4 2 4 6 4 6 9
(x div (((((x div ((((2 - (x mod 2)) + 1) * 2) + 1)) * 2) * 2) div (2 + 1)) + 2))
A066272: 0 0 1 1 2 1 3 2 2 3 3 2 4 3 3 2
((((x + 1) div 2) - ((((((x div 2) * 2) div (2 + 1)) * 2) * 2) div (2 + 1))) + 2)
A177876: 2 3 3 4
A085887: 2 3 3 4 3 4 3 4 4 5 3 4 3 4 4 5
((x - (((((2 - (x div (2 + 1))) * (x div (2 + 1))) div 2) div 2) * (2 + 1))) + 2)
A134932: 2 3 4 5 6 7 8 9 10 14 15 16 20 21 22 29
(((x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2)) * (2 + 1)) div 2)
A026140: 0 1 3 4 7 9 10 12 13 16 19 21 22 25 27 28
((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * (2 + 1)) div 2)
A332206: 0 1 3 4 12 13 15 16 48 49 51 52 60 61 63 64
((((((((((x * x) div (2 + 2)) - 1) div 2) div 2) + x) + 2) * 2) div (2 + 1)) + 2)
A243356: 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 22
((x - (((((1 - x) * 2) div ((2 + 2) + 1)) - ((x + 2) * 2)) * (2 + 1))) - 2)
A188302: 10 17 27 34 44 51 58 68 75 85 92 99 109 116 126 133
((((((((0 - x) mod (2 + 2)) * ((x - 1) * 2)) - 1) * x) div 2) div (2 + 1)) + 2)
A088074: 2 1 3 3 1 21
((((((x mod ((x div ((2 - (x mod 2)) * 2)) + 2)) + 2) + x) div 2) * (2 + 1)) div 2)
A011978: 1 3 3 3 4 6 6 7 7 10 10 12 12
((x - ((((x * x) div (((x div 2) + 2) + 2)) + 1) div (2 + 1))) + ((2 + 1) * 2))
A248418: 6 7 8 9 9 10 10 11 11 12 12 13 13 14 14 14
((x - ((((((((2 - x) div 2) * x) div 2) div (2 + 1)) - 1) - x) div (2 + 1))) * 2)
A309374: 2 4 6 10 12
A161842: 2 4 6 10 12 16 18 22 26 30 32 38 40 44 48 54
((compr(\x.(((x mod ((x mod ((2 + 1) * 2)) + 1)) + 1) mod (2 + 1)),x) * (2 + 1)) + 2)
A305496: 8 17 26 35 44 53 62 68 71 80 89 98 107 116 125 134
((((((((x + 2) * (x + 2)) + (2 + 2)) + 1) * (2 + 1)) + x) * (2 + 1)) + 2)
A210527: 83 131 197 281 383 503 641 797 971 1163 1373 1601 1847 2111 2393 2693
(((((x + 2) div (((2 + 2) * 2) - ((x - 2) div (2 + 1)))) + x) * (2 + 1)) div 2)
A138670: 0 1 3 4 6 9 10 12 13 15 18 19 21 24 27 28
((((((2 + 1) * x) + 2) * (2 + 1)) + 1) * ((((2 + 1) * x) * (2 + 1)) + 2))
A177072: 14 176 500 986 1634 2444 3416 4550 5846 7304 8924 10706 12650 14756 17024 19454
(((((x + 2) div ((x div (((x mod 2) + 2) * 2)) + 2)) + 1) + (x div (2 + 1))) - 2)
A182921: 0 0 1 2 2 3 3 4 3 5 5 6 5 6 6 8
(x - (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) + (x div (2 + 1))) * 2))
A278603: 0 1 2 1 2 3 2 1 2 3 4 5 4 3 4 5
(((((((x + 2) + 2) + 2) * ((2 + 2) * (2 + 1))) + 2) + (x div (2 + 1))) div 2)
A282111: 37 43 49 55 61 67 74 80 86 92 98 104 111 117 123 129
(((x div ((x div ((((x div 2) mod 2) + 2) + 1)) + 2)) + 1) - ((x mod (2 + 1)) div 2))
A182535: 1 1 1 2 2 1 3 3 2 2 3 2 3 3 2 4
(((((((x div 2) mod (((x - 1) mod ((2 + 2) + 1)) + 1)) + 1) + x) div 2) + 1) div 2)
A171481: 0 1 1 1 2 2 2 2 3 3 3 3 3 4 5 5
(((x * x) - (((0 - 2) - ((((x + 1) mod ((2 + 1) * 2)) + x) div 2)) - 1)) div 2)
A261878: 1 2 4 7 11 15 21 28 36 45 55 64 76 89 103 118
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2)
A343046-A343042-A271917-A265080-A228275-A228250-A185651: 0 0 0 0 1 0 0 2 2 0 0 3 6 3 0 0
((((((x * 2) * (2 + 1)) * (((x * 2) * 2) + 1)) + 1) div ((x * 2) + 1)) * 2)
A194999: 2 20 42 66 90 114 138 162 186 210 234 258 282 306 330 354
(((((1 - ((x mod 2) * 2)) * (((x + 1) * 2) + 1)) + 2) * ((x * 2) + 1)) + 2)
A271064: 7 ~7 47 ~47 119 ~119 223 ~223 359 ~359 527 ~527 727 ~727 959 ~959
(((((x - (((x div 2) - 1) div 2)) div 2) mod 2) + (x * 2)) + (((x * 2) + 1) * 2))
A304803: 2 9 15 21 26 32 38 45 51 56 62 68 75 81 87 92
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2)
A341317-A229079-A101164: 0 0 0 0 1 0 0 2 2 0 0 3 7 3 0 0
(((((((x * 2) * 2) * 2) - (x div (0 - 2))) + (x mod 2)) * ((x div 2) + 1)) div 2)
A195032: 0 5 17 27 51 66 102 122 170 195 255 285 357 392 476 516
(((((x div ((((x * 2) mod (2 + 1)) + (x mod 2)) + 2)) + 1) - (x mod 2)) + 1) div 2)
A167865: 1 0 1 1 1 1 2 1 2 2 2 1 4 1 3 3
((((1 - ((((2 - x) div 2) * (x div (2 + 1))) div (2 + 1))) - (x mod 2)) + 1) div 2)
A214130: 1 0 1 1 1 1 2 1 2 2 3 3 4 4 5 6
((((1 - ((((1 - x) div (2 + 1)) * (x div (2 + 1))) div 2)) - (x mod 2)) + 1) div 2)
A097242: 1 0 1 1 1 1 2 1 2 3 3 3 5 4 6 7
((((((2 + 1) * 2) + 1) * (x + 1)) - ((x + 2) div (((x * x) div 2) + 1))) div 2)
A099261: 2 5 10 13 17 21 24 28 31 35 38 42 45 49 52 56
((x - ((((((2 + 2) * (x + 1)) + x) * 2) * (2 + 1)) div ((0 - x) - 1))) div 2)
A275113: 12 14 15 16 16 17 18 18 19 19
((compr(\x.(2 - (((x + 2) * x) mod (((x mod (2 + 2)) * (2 + 1)) + 1))),x) + 1) + 2)
A102554: 4 6 8 9 10 12 14 16 18 20 21 22 24 25 26 28
(((((x - (((1 - (x * x)) * x) div (((2 + 1) * 2) + 1))) div 2) + x) + 1) div 2)
A175827: 0 1 2 3 5 8 12 17 24 33 43 56 71 88 108 131
(((((x div (((((x div 2) mod ((2 + 2) + 1)) + 2) + 2) + 1)) * 2) + x) + 1) * 2)
A066122: 2 4 6 8 10 12 14 16 18 24 30 32 34 36 38 40
(((((((((x + 2) div ((2 + 2) + 1)) + 1) div 2) * (2 + 1)) div 2) + x) + 1) * 2)
A309374: 2 4 6 10 12
A120351: 2 4 6 10 12 14 16 18 20 22 24 26 28 34 36 38
((((((x - (((((x div 2) + 1) div 2) mod (2 + 2)) - 2)) div 2) div 2) + x) + 1) + 2)
A231711: 3 4 5 7 8 9 10 11 13 14 15 16 17 19 21 22
(((((x + 1) * (2 + 1)) * ((2 + 2) + 1)) div ((((2 + 2) * 2) + x) + 1)) + 2)
A070083: 3 5 6 7 7 8 9 9 9 10 10 11 11 11 11 12
(((((((x + 2) * x) + 1) + (2 + 2)) * (2 + 1)) * (((x + 2) * x) + 1)) + 2)
A160827: 17 98 353 962 2177 4322 7793 13058 20657 31202 45377 63938 87713 117602 154577 199682
(((((((((2 + 2) * (x + 1)) + x) * x) + 1) * (x - 1)) + 1) * (x + 1)) div 2)
A172118: 0 1 45 234 730 1755 3591 6580 11124 17685 26785 39006 54990 75439 101115 132840
((((x mod (((((x + 1) mod ((2 + 2) * 2)) + 2) + 1) * 2)) + 1) + (x + 1)) div 2)
A038389: 1 2 3 4 5 6 7 5 5 10 11 12 13 14 15 10
((x + 1) div ((((((x - (((x div 2) - 1) div 2)) div 2) mod 2) + 1) mod (x + 1)) + 2))
A333701: 0 1 0 1 1 2 2 2 2 3 3 4 3 3 3 5
((x - ((0 - (((x + 1) mod ((2 + 2) * (2 + 1))) * (2 + 1))) div (x + 1))) div 2)
A096029: 1 2 2 3 3 4 4 5 5 6 6 5 6 7 7 8
(compr(\x.((x mod 2) - (((x - 1) mod ((((x div 2) + 1) div 2) + 1)) div 2)),(x + 1)) * 2)
A130702: 4 8 12 16 18 20 22 24 28 30 32 36 40 42 44 48
(((((((((x + 1) * x) div 2) mod ((2 + 2) + 1)) + 2) + 2) + 2) * (x + 1)) div 2)
A290642: 3 7 13 14 15 18
(((((((((2 + 1) * x) + 2) * (x + 1)) + 2) * (x + 2)) div 2) * (x + 1)) div 2)
A213830: 2 18 78 230 540 1092 1988 3348 5310 8030 11682 16458 22568 30240 39720 51272
(((compr(\x.(2 - (x mod ((((x mod (2 + 1)) + 1) * 2) + 1))),x) + 2) mod (x + 1)) div 2)
A210452: 0 0 0 0 1 1 2 2 2 2 1 2 2 3 3 3
(((((((((2 + 1) * x) + 2) * (x + 2)) * 2) + 1) * (x + 2)) * (x + 1)) div 2)
A076456: 9 93 390 1110 2535 5019 8988 14940 23445 35145 50754 71058 96915 129255 169080 217464
((x - ((((x mod (((2 + 2) * 2) + 1)) - x) * (2 + 1)) - 1)) mod ((x + 1) * 2))
A179977-A108971: 1 2 3 4 5 6 7 8 9 17 16 15 14 13 12 11
((x - ((x mod (2 - (x mod (0 - ((x div (2 + 2)) + 1))))) mod 2)) + ((x + 1) * 2))
A189670: 2 4 8 10 14 17 20 22 26 28 32 35 38 40 44 47
(((((x - (x div (((2 + 2) * 2) + 1))) div 2) * (2 + 1)) div 2) + ((x + 1) * 2))
A277733: 2 4 7 9 13 15 18 20 24 26 28 31 33 37 39 42
(((2 - (((((x - 1) div 2) div 2) * (x div (2 + 2))) div 2)) + 2) + ((x + 1) * 2))
A060652: 6 8 10 12 14 16 18 20 21 22 24 26 27 28 30 32
((((((x * x) * 2) div ((((2 + 2) * 2) * 2) + x)) + x) + 1) + ((x + 1) div 2))
A186154: 1 3 4 6 8 11 13 16 18 21 23 26 29 32 35 38
(((((x - ((x div (0 - 2)) * (2 + 1))) * (2 + 1)) + x) + 2) * ((x + 1) div 2))
A219394: 0 15 19 64 72 147 159 264 280 415 435 600 624 819 847 1072
((((((((x mod 2) + x) * (2 + 1)) + x) * (2 + 1)) + x) + 2) * ((x + 1) div 2))
A217441: 0 24 28 100 108 228 240 408 424 640 660 924 948 1260 1288 1648
(((((((((2 - x) div 2) * (2 + 1)) div 2) div 2) mod 2) + x) + 2) + ((x + 1) div 2))
A072008: 2 4 5 8 9 10 11 14 15 17 18 19 20 23 24 25
((((((((x + 1) * x) div 2) * (((2 + 1) * 2) + 1)) + 1) * x) * (x + 1)) div 2)
A008893: 0 8 66 258 710 1590 3108 5516 9108 14220 21230 30558 42666 58058 77280 100920
((((((((x + 2) * x) * (2 + 2)) * (x + 1)) div (2 + 1)) + x) * (x + 1)) div 2)
A330805: 0 9 51 166 410 855 1589 2716 4356 6645 9735 13794 19006 25571 33705 43640
((((((((x + 2) * (x + 2)) + ((2 + 2) * 2)) + 2) * 2) + x) * (x + 1)) div 2)
A162266: 14 39 81 146 240 369 539 756 1026 1355 1749 2214 2756 3381 4095 4904
(((x - (((((2 - x) div 2) * x) div 2) div ((2 + 2) + 1))) div 2) - ((x - 1) div 2))
A112210: 1 0 1 1 1 1 2 2 2 2 3 3 4 4 5 6
(x - (x mod (((1 - ((x mod 2) * 2)) * (2 + 1)) * (2 - ((x div (0 - 2)) mod 2)))))
A161829: 0 3 0 6 0 6 6 12 6
((((x * x) * (x * x)) * (x * x)) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2))
A070684: 0 1 20 25 4 5 16 37 36 9 12 33 12 9 36 37
(((x - (((1 - (((x div (2 + 1)) mod (2 + 1)) + x)) div (2 + 1)) - 1)) * 2) * 2)
A306199: 4 8 16 20 28 32 40 44 48 52 56 64 68 76 80 88
(1 - ((((((x - 1) * x) mod (((x div (2 + 2)) + x) + (2 + 1))) + 1) div 2) div 2))
A164925: 1 1 1 1 0 1 1 ~1 0 1 1 ~2 0 0 1 1
((x + 1) div (((((x * 2) + 1) mod (((x div ((2 + 2) + 1)) * 2) + 1)) + 2) + 2))
A227899: 0 0 0 1 1 1 1 2 1 2 2 1 3 2 1 2
(((((x + 1) div 2) mod (((x div 2) mod (((x - 1) mod (2 + 1)) + 2)) + 1)) + 2) * 2)
A059656: 4 4 6 4 4 4 10 4 4 4 6 4 4 4 6 4
(x - (((x - (((((x * x) - 2) * x) div 2) div (((2 + 1) * 2) + 1))) div 2) div 2))
A175868: 0 1 2 3 4 6 8 11 15 20 25 32 40 49 59 71
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A070709: 0 1 16 3 4 5 20 7 8 9 24 11 12 13 0 15
(x - (((x div 2) - (((x + 1) div (((2 mod ((x div 2) + 1)) + 2) + 1)) mod 2)) * 2))
A275720: 0 1 2 3 2 3 2 3 2 1 0 1 0 1 2 3
(x div (((x + 1) div (((x mod ((((x div 2) div (2 + 1)) + 2) + 2)) + 1) * 2)) + 2))
A141298: 0 0 1 1 1 1 2 2 2 3 1 2 1 2 3 3
(x - (((((x - (((x * x) * (x - 1)) div ((2 + 2) * 2))) div 2) + 1) div 2) div 2))
A175870: 0 1 2 3 4 6 8 11 14 18 23 29 35 43 52 62
((2 + 1) mod ((((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) div 2) + 2))
A239264: 1 1 1 1 0 1 1 1 1 1 1 0 3 0 1 1
(((((((x + 2) * x) * (x + 1)) div 2) * ((((x + 2) + 2) + 2) + 1)) div 2) div 2)
A239568: 0 6 27 75 165 315 546 882 1350 1980 2805 3861 5187 6825 8820 11220
((x - ((((((x * 2) div (2 + 1)) * 2) div (2 + 1)) * ((2 + 2) + 1)) div 2)) div 2)
A346218: 0 0 1 0 1 0 0 1 0 ~1 0 0 0 0 ~1 0
((((x - (((((2 - x) div (2 + 2)) - x) div 2) - 1)) * ((2 + 2) + 1)) div 2) div 2)
A190345: 1 3 5 7 10 11 13 16 17 20 21 23 26 27 30 32
(x - ((0 - ((((x div (((2 + 1) * 2) + 1)) + x) * ((2 + 2) + 1)) div 2)) div 2))
A029905: 0 2 5 7 9 11 14 17 19 22 24 26 28 31 34 36
(1 - ((x - ((((x div (1 - ((2 + 2) * 2))) + x) * ((2 + 2) + 1)) div 2)) div 2))
A200247: 1 1 1 2 3 4 4 5 5 5 6 7 8 8 9 9
(x - (((((((x + 1) div (((2 + 1) * 2) + 1)) * (x div 2)) div 2) + 1) div 2) * 2))
A308590: 0 1 2 3 4 5 4 5 6 7 8 9 8 7 6 7
(((((((((x + 2) + 2) + 2) + 1) * x) + 1) * (((x div 2) mod 2) + 1)) div 2) div 2)
A217367: 0 2 9 15 11 15 39 49 30 36 85 99 57 65 147 165
(1 - ((((((x - ((x * x) div (2 + 1))) div 2) div (2 + 1)) * (2 + 1)) div 2) div 2))
A294621: 1 1 1 1 2 2 2 3 4 4 4 5 6 7 8 9
((((1 - (((x mod (2 + 2)) - (x div (2 + 2))) div (2 + 1))) * (2 + 1)) div 2) + 2)
A333537: 3 3 3 2 5 3 3 3 5 5 3 3 5 5 5 3
(((2 - ((x - ((((2 + 2) * 2) * (2 + 1)) div (x + 1))) div (2 + 1))) + 2) * 2)
A033824: 24 16 12 10 8 8 6 6 4 4 4 2
((((((((x div 2) + x) + 1) div 2) + ((2 + 2) * (x + 1))) * (2 + 1)) div 2) div 2)
A189524: 3 6 10 13 17 21 24 27 31 35 39 42 45 49 53 56
((((((((x div 2) - 1) * x) div (((2 + 2) * 2) + 1)) + 2) * (2 + 1)) div 2) div 2)
A003106: 1 0 1 1 1 1 2 2 3 3 4 4 6 6 8 9
((((((x + 1) * 2) - (((x div 2) + 2) mod ((2 + 1) * 2))) * (2 + 1)) div 2) + 2)
A033161: 2 5 6 9 11 14 15 18 29 32 33 36 38 41 42 45
((((x mod ((((x + 1) mod (1 - ((2 + 2) * 2))) - 2) - 2)) div (2 + 1)) + 2) div 2)
A226728: 1 ~1 0 0 0 1 0 0 0 ~1 0 0 0 0 0 0
(((compr(\x.(2 - (x mod (((x mod ((2 + 2) * 2)) + 2) + 1))),x) * (2 + 1)) div 2) - 2)
A072013: 1 2 4 5 7 8 10 14 16 17 19 20 25 28 29 31
(((((((((((x div 2) mod 2) + x) * (2 + 2)) - x) + 1) * x) div 2) + 1) div 2) * 2)
A193828: 0 2 12 22 26 40 70 92 100 126 176 210 222 260 330 376
(((1 - (x div ((((2 - x) div (2 + 2)) - 2) - 1))) + (((x * 2) + 1) * 2)) + 2)
A212448: 5 10 14 18 22 27 31 35 39 43 47 51 55 60 64 68
(((((((((x - 1) mod (2 + 1)) + 2) * 2) + 1) * x) div ((x div 2) + 1)) + 2) div 2)
A161775: 1 3 4 7 4 6 7 5 6
((x mod ((((((x div 2) mod ((2 - (x mod 2)) + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2)
A309367: 0 0 0 1 0 1 0 1 1 0 1 0 0 0 2 0
((((0 - ((x div ((x mod ((2 + 2) * (2 + 1))) + 1)) * 2)) mod (x + 1)) div 2) * 2)
A051765: 0 0 0 0 0 0 0 0 0 0 0 0 2 2 6 10
(x div (((((((x mod ((2 + 1) * 2)) * (2 + 2)) + 1) * 2) mod (x + 1)) + 2) + 2))
A046926: 0 0 0 0 0 1 1 1 2 0 2 1 2 0 2 1
((((((((((x * 2) + 1) * 2) * 2) + x) * (2 + 1)) + 2) * (x + 1)) + 2) * 2)
A304381: 32 168 412 764 1224 1792 2468 3252 4144 5144 6252 7468 8792 10224 11764 13412
((x + 2) div ((((((x + 2) - (((x div 2) - 1) div 2)) + 2) mod (x + 1)) + 2) * 2))
A237756: 0 0 1 0 0 0 1 1 1 1 2 2 2 2 4 4
(((((2 + 1) * x) + 2) - ((x + 1) div ((2 + 2) + 1))) + (((x + 1) div 2) div 2))
A189531: 2 5 8 12 14 17 20 24 27 29 32 36 39 42 44 48
(((((2 - ((1 - x) div (2 + 1))) * 2) div (2 + 1)) + x) + (((x + 1) div 2) div 2))
A050481: 1 2 4 6 7 8 9 11 13 14 15 18 19 20 21 23
((((((((((x + 2) * x) div 2) + (x div 2)) + 1) + 2) * x) * (x + 1)) div 2) div 2)
A242709: 0 2 12 33 85 165 315 518 846 1260 1870 2607 3627 4823 6405 8220
((((((((((x div (2 + 2)) + x) + 1) div 2) + 2) * 2) + x) * (x + 1)) div 2) - 2)
A026357: 0 5 10 20 33 43 61 74 97 123 141 172 206 229 268 294
((x - ((((x mod ((((2 + 1) * 2) - (x div (2 + 1))) + 1)) + 1) div 2) div 2)) + 2)
A049877: 2 3 4 4 5 6 8 9 9 11 12 12 14 15 16 17
((x - (((((((x div 2) div (2 + 1)) + 1) * ((x + 1) div 2)) + 1) div 2) div 2)) + 2)
A196362: 2 3 4 5 6 6 7 7 8 9 10 10 10 10 11 11
((((((x * 2) * 2) - (x div ((((2 - x) div (2 + 2)) - 2) - 1))) + 2) + 2) + 2)
A212453: 6 11 15 19 23 28 32 36 40 44 48 52 56 61 65 69
(((((x - (((x div (2 + 2)) div (0 - 2)) - 1)) * ((2 + 2) + 1)) div 2) + 2) div 2)
A321131: 2 3 4 6 8 9 11 12 13 14 16 17 19 21 22 23
((((2 + 1) * x) - ((x + 1) div (((x div ((x mod (2 + 2)) + 1)) + 2) * 2))) + 2)
A189928: 2 5 8 10 14 17 20 22 26 29 31 34 38 41 43 46
(1 - (((x - ((x - ((((0 - x) * (x div 2)) div 2) * (2 + 1))) div 2)) div 2) div 2))
A088567: 1 1 1 2 2 3 4 5 6 7 9 10 13 14 18 19
((((((((x + 1) mod (((x div 2) mod 2) + 2)) + x) + 2) * (2 + 1)) div 2) div 2) div 2)
A342248: 1 1 1 2 2 2 3 4 4 4 5 4 5 5 6 6
(1 - ((x mod 2) - (x div ((((((x div 2) + x) * x) mod ((2 + 1) * 2)) + 2) + 2))))
A042961: 1 0 1 0 2 0 2 0 3 1 3 1 4 2 4 3
((((((((((x div 2) + 1) mod (2 + 1)) + x) div (2 + 2)) + x) + 1) * 2) * 2) * 2)
A219547: 8 16 32 40 48 56 64 80 88 96 104 112 128 136 152 160
(((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * 2) + (((x + 1) div 2) div 2)) * 2)
A132189: 0 0 0 2 2 2 2 4 8 8 8 10 10 10 10 16
(((x + 1) div 2) - ((((((x + 1) div 2) div 2) div 2) * (((x + 1) div 2) div 2)) div 2))
A060960: 0 1 1 2 2 3 3 3 3 4 4 5 5 6 6 4
(((x - (((((x + 1) div 2) div 2) div 2) * 2)) - 1) * ((((x + 1) div 2) div 2) div 2))
A294237: 0 0 0 0 0 0 0 4 5 6 7 8 9 10 11 20
(((((((x div 2) * x) div ((x + 2) + 2)) + x) + x) + (((x + 1) div 2) div 2)) + 2)
A025057: 2 4 6 9 12 14 16 19 22 24 27 30 33 35 38 41
(((((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) * (x - 1)) div 2) div 2) div 2)
A326635: 0 0 0 0 0 0 0 0 0 0 1 1 2 3 6 8
((x - (((1 - x) * 2) div (((((x div 2) mod ((2 + 2) + 1)) + 2) + 2) + 2))) + 2)
A028804: 2 3 5 6 7 8 10 11 12 13 15 17 18 19 20 21
(x - (((x - (x div ((x div (((x * x) mod ((2 + 2) + 1)) + 2)) + 2))) div 2) * 2))
A072203: 0 1 2 1 2 1 2 3 2 1 2 3 4 3 2 1
(((((((x + 1) mod (((2 + 1) * 2) + 1)) * ((x + 2) + 1)) div 2) div 2) div 2) div 2)
A069585: 0 0 0 1 2 3 0 0 1 2 3 4 5 0 1 2
((((((2 - (x mod (((2 - x) div (2 + 2)) - 1))) * (x + 1)) div 2) div 2) div 2) div 2)
A220188: 0 0 0 0 0 1 0 2 1 1 2 2 1 4 3 2
((((((((((x * x) div (2 + 2)) + x) div 2) + 1) * (x + 1)) div 2) + 2) + 2) + 2)
A169761: 6 7 9 12 18 24 34
(((0 - 2) - 1) mod (((((x * 2) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2) + 2))
A204246: 1 1 1 1 1 1 1 0 0 1 1 0 2 0 1 1
(((2 + 2) + 1) mod (((((x * 2) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2) + 2))
A090737: 1 1 1 1 1 1 1 2 2 1 1 2 0 2 1 1
((2 + 1) div ((2 - ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2)) + 2))
A244657: 1 0 1 0 1 1 0 1 1 1 0 1 3 1 1 0
((x - ((2 - (((((x div ((2 + 2) * 2)) + x) * (x + 2)) div 2) div 2)) div 2)) + 2)
A269746: 1 2 4 6 8 10 13 16 20 24 28 32 36 40
(x - (((x - ((x div 2) div (2 - (((2 - x) div ((x div 2) + 2)) mod 2)))) div 2) * 2))
A182101: 0 1 0 1 2 3 4 3 4 3 2 3 4 3 4 3
(((((x + 1) div 2) div 2) + 1) mod (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)))
A325165: 1 0 1 0 0 2 0 0 0 3 0 1 0 0 4 0
((x - ((2 - (((((x div (((0 - 2) - 2) - 1)) - 1) * x) div 2) div 2)) div 2)) + 2)
A242453: 1 2 3 3 4 5 5 5 6 7 7 7 7 8 8 9
(((((((((((2 + 2) * 2) * 2) div (x + 1)) + 2) + 2) * x) div 2) + 2) + 2) + 2)
A175952: 6 12 15 18 20 21 24
(x div (((((x div 2) + 1) div 2) - ((((1 - (x div 2)) mod (x + 2)) div 2) div 2)) + 2))
A233566: 0 0 0 1 2 2 2 2 2 4 3 3 4 4 3 3
((((((((2 + 2) * (2 + 1)) - 1) mod ((x * 2) + 1)) + (x div 2)) + 2) div 2) div 2)
A333534: 0 1 1 1 1 1 4 4 4 4 4 4 4 4 5 5
((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * ((x div 2) + 2)) div 2) div 2)
A242521: 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9
(((x mod ((((2 + 1) * 2) + 1) * 2)) + (x mod ((2 + 2) * 2))) div ((2 + 2) * 2))
A237291: 0 0 0 0 1 1 1 1 1 1 1 1 2 2 0 1
(((x + 1) div (1 - (x div (((2 - x) div (2 + 2)) - 2)))) + (x div ((2 + 2) * 2)))
A159805: 1 1 1 2 1 2 2 2 4 3 3 4 4 4 4 5
(((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div ((x div (2 + 2)) + 2))
A344837-A344834: 0 0 0 0 1 0 0 2 2 0 0 2 2 2 0 0
((((((((((2 + 2) * 2) + x) * (x + 2)) div (2 + 1)) - 1) * x) div 2) + 2) + 2)
A302508: 4 8 16 29 50 76
((((((((((x div 2) * x) div 2) * ((x div 2) + 2)) div 2) div 2) + x) div 2) div 2) div 2)
A241313: 0 0 0 0 1 1 2 2 4 4 6 7 10 11 15 16
(((((((((x div (2 + 1)) * x) div 2) + 1) * 2) div (2 + 1)) + (x div 2)) + 2) div 2)
A029038: 1 1 1 2 3 3 4 5 6 7 8 9 12 13 14 17
(((((((x + 1) div ((2 + 2) + 1)) * (2 + 1)) + x) + 1) mod ((x div 2) + 2)) div 2)
A161271: 0 0 0 0 0 0 0 0 0 2 1 2 1 2 3 3
((((((((((x div 2) * x) mod 2) + x) + 1) + x) + x) + 2) * ((x div 2) + 2)) div 2)
A263621: 3 6 13 19 30 36
((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) * ((x div 2) mod 2)) div 2)
A072783: 0 0 0 ~1 0 0 ~1 1 0 0 ~1 1 0 0 0 ~1
((((((x + 1) * 2) mod ((x div (2 + 2)) + 2)) div 2) + 1) mod (((x div 2) mod 2) + 2))
A123517: 1 1 1 1 1 1 2 1 0 1 2 1 1 0 1 2
((((((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1) + (x * x)) div 2) + 2) div 2)
A217314: 2 2 3 4 6 8 11 15 18 23 27 33 38 44 51 58
(((((2 - ((x * 2) div (((x - 1) mod (2 + 1)) + 2))) * 2) + x) + 1) mod (2 + 2))
A179765: 1 0 1 2 1 0 1 2 3 2 3 2 1 0 1 2
(((((((((2 + 1) * 2) + 1) * x) + 1) * ((x * 2) + 1)) + 1) * x) div (2 + 2))
A045949: 0 6 38 116 262 496 840 1314 1940 2738 3730 4936 6378 8076 10052 12326
((((x mod (((x - 1) mod (((2 + 2) * 2) + 1)) + 1)) * (2 + 1)) + x) div (2 + 2))
A008997: 0 0 0 0 1 1 1 1 2 2 2 3 3 4 6 6
(((((((2 + 1) * x) + 2) * (2 + 1)) * (((2 + 1) * x) + 1)) + x) * (2 + 2))
A304835: 24 244 680 1332 2200 3284 4584 6100 7832 9780 11944 14324 16920 19732 22760 26004
(((((x div 2) - ((x div (2 + 2)) div (0 - 2))) mod 2) + ((x + 1) * x)) mod (2 + 2))
A270823: 0 2 3 1 1 3 2 0 1 3 2 0 0 2 3 1
(((((((((x div (2 + 1)) + 1) * (x + 2)) div 2) div 2) + 1) div 2) + x) + (2 + 2))
A146968: 4 5 7
A191984: 4 5 7 8 10 11 13 14 16 19 20 22 25 26 28 32
(((((x - ((x + 1) mod (((2 + 2) * (2 + 1)) + 1))) * 2) * 2) + x) + (2 + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A004862: 0 1 2 3 4 5 6 7 8 9 10 11 64 65 66 67
(((((((((x * x) + 2) * x) div (2 + 1)) + x) div (x + 2)) * 2) + x) mod (2 + 2))
A221166: 0 1 0 3 0 3 2 3 0 3 0 1 0 1 2 1
((((x * x) div (1 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) + (x div (2 + 2)))
A036021: 1 1 1 1 2 3 3 4 6 8 9 11 15 18 21 26
(((((x - (x div (((2 + 1) * 2) + 1))) div 2) + (x * 2)) + 1) - (x div (2 + 2)))
A190058: 1 3 6 8 10 12 15 17 18 21 23 26 27 30 32 34
(2 - ((((((x mod ((0 - 2) - (x div (2 + 1)))) mod 2) + 1) + x) + x) mod (2 + 2)))
A105931: 1 2 1 ~1 1 2 1 2 1 2 1 ~1 1 2 1 ~1
(((((((((x * x) * (x * x)) + 1) * x) * x) + 2) * x) * (x * x)) div (2 + 2))
A282613: 0 1 140 4995 65824 489125 2521476 10092775 33562880 96870249 250025500 589527851 1290008160 2651218765 5165397524 9611031375
((compr(\x.(((((x div ((2 + 2) * 2)) + x) + 1) mod ((2 + 2) + 1)) - 1),x) + 2) + 2)
A078136: 4 8 9 12 13 17 18 21 22 26 27 30 31 35 39
((((((((x div (2 + 1)) + x) + 1) * (x + 2)) div ((2 + 2) + 1)) + x) + 2) div 2)
A291693: 1 2 3 5 6 8 11 13 16 19 22 26 30 34 38 44
(((((x - ((((x + 1) * x) div ((2 + 2) + 1)) mod (2 + 1))) div 2) + x) + 2) + 2)
A099049: 4 5 6 7 9 11 12 13 15 17 18 19 21 23 25 26
(((((x - ((((x - 1) * x) div (2 + 2)) - (x * 2))) div (2 + 2)) + x) + 2) * 2)
A110507: 4 6 10 14 16 18 20 22 24 26 28 28
(((((((((1 - x) mod (((2 + 2) * 2) + 1)) + 1) + x) div 2) + 2) + x) div 2) div 2)
A189575: 0 1 2 2 2 3 3 3 3 4 4 5 6 6 6 6
((((((x div (2 + 1)) mod 2) + ((x * 2) + 1)) * (2 + 1)) + 2) div ((x + 2) + 2))
A175214: 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 5
((((((x div 2) div (2 + 1)) + x) - (x div (((2 + 1) * 2) + 1))) + (x * 2)) + 2)
A190006: 2 5 8 11 14 17 21 23 26 29 32 35 39 42 44 47
(((((x * 2) + 1) div ((((x div ((2 + 2) * 2)) + 2) + 2) + 1)) + (x * 2)) + 2)
A287235: 2 4 7 9 11 14 16 19 20 23 25 27 30 32 34 37
(((((x * x) + 2) div (((x div (2 + 2)) + x) + (2 + 1))) + 1) + ((x * 2) * 2))
A313560: 1 5 10 14 19 24 28 33 38 42 47 52 57 62 66 71
((((x - (x div ((((x div 2) + 1) div (2 + 1)) + 1))) div 2) + 1) + ((x * 2) * 2))
A314708: 1 5 9 13 18 22 26 31 35 39 44 49 53 57 62 66
(((((2 - x) * 2) div ((((x div 2) div (2 + 1)) + 2) + 2)) + x) + ((x * 2) * 2))
A313540: 1 5 10 14 19 23 28 33 37 42 46 51 56 61 66 70
(((((((((((x div 2) mod 2) + x) * 2) + x) * 2) + 1) * 2) + 1) + (x div 2)) div 2)
A056021: 1 7 18 24 26 32 43 49 51 57 68 74 76 82 93 99
(((((((((x div (2 + 2)) + x) + 1) div 2) * 2) + 1) * (2 + 1)) - (x div 2)) div 2)
A214990: 1 4 4 7 9 9 12 12 14 17 17 20 22 22 25 25
((((((((x div 2) + x) + (x div (2 + 2))) + 2) * 2) * (2 + 1)) + (x div 2)) - 2)
A026320: 10 16 29 35 54 60 73 79 98 104 117 123 142 148 161 167
(((((((x - (x div ((2 + 2) * 2))) * 2) * (2 + 1)) + 1) * 2) + (x div 2)) div 2)
A225227: 1 7 13
A277093: 1 7 13 19 26 32 38 44 45 51 57 63 70 76 82 88
(((((((2 + 1) * 2) mod ((x div 2) + 1)) + 1) div (2 + 1)) + 1) * ((x div 2) mod 2))
A227838-A050605: 0 0 1 1 0 0 2 2 0 0 1 1 0 0 3 3
((((((x + 1) * (2 + 1)) mod ((x div (2 + 1)) + 1)) div 2) + 1) - ((x div 2) mod 2))
A142886: 1 1 0 0 1 1 0 0 1 2 0 0 3 2 0 0
((((((((x + 2) * x) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1) * (x mod 2)) + 2)
A339013: 2 3 2 4 2 4 2 3 2 5 2 5 2 3 2 5
(((((((x + 2) + 2) - (2 div ((x div (2 + 2)) + 1))) * 2) + 1) - (x mod 2)) - 2)
A284506: 3 4 7 8 13 14 17 18 23 24 27 28 31 32 35 36
(((x div ((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 2)) + 2)) + (x mod 2)) + 2)
A177876: 2 3 3 4
A053475: 2 3 3 4 3 5 3 5 4 6 3 6 3 6 4 6
(((((x - (((x + 2) * x) div ((x * 2) - ((2 - x) div 2)))) + x) + x) + 2) + 2)
A026278: 4 6 8 11 14 17 19 22 24 27 29 32 35 37 40 43
(compr(\x.((x + 1) mod ((x mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) + 1)),x) + 2)
A316413: 2 3 4 5 7 8 9 10 11 13 16 17 19 21 22 23
(((x div ((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)) + x) + 2)
A081472: 2 4 6 8 10 9 14 16 18 15 22 16 26 21 20 32
(((((x * x) - 1) mod (x - ((((x mod 2) - x) div ((2 + 2) + 1)) - 1))) + x) + 2)
A201363: 2 3 7
A007607: 2 3 7 8 9 10 16 17 18 19 20 21 29 30 31 32
(((((x - (x div (((((x div (2 + 2)) mod 2) + 1) * 2) + 1))) div 2) + 1) + x) + 2)
A298109: 3 4 6 7 9 10 11 13 14 15 16 18 20 21 23 24
(((x - ((((((1 - (x * x)) * (x * x)) div 2) div (2 + 1)) div 2) - 1)) * x) div 2)
A301973: 0 1 4 15 50 140 336 714 1380 2475 4180 6721 10374 15470 22400 31620
(((((x - 1) * 2) div (((2 - (x - (((2 + 2) * 2) * 2))) * 2) - 1)) + x) + 2)
A026481-A026417: 1 3 4 5 6 7 8 9 10 11 13 14 16 17 19 22
((((((((x + 2) * x) * (x + 1)) div (2 + 1)) + x) * ((2 + 2) + 1)) + x) * 2)
A063498: 0 32 104 236 448 760 1192 1764 2496 3408 4520 5852 7424 9256 11368 13780
((((((((x div 2) mod (2 + 1)) + x) * x) div 2) div (((x + 2) + 2) + 1)) + x) + 2)
A288221: 2 3 4 5 7 8 9 11 12 14 16 17 18 19 21 23
((x - (((x * x) * x) div (1 - ((((2 + 2) * (2 + 1)) * (2 + 1)) + x)))) div 2)
A062435: 0 1 1 2 3 4 6 8 10 13 16 20 24 29 35 41
(((((1 - ((x * 2) mod ((x div (2 + 2)) + 1))) mod (x + 1)) div (2 + 1)) + x) + 2)
A069751: 2 3 4 5 6 7 8 9 10 11 15 13 14 19 16 22
((((((x * 2) - (x mod ((2 + 1) * 2))) + 2) + ((x + 1) div (2 + 1))) + x) div 2)
A001729: 1 2 3 4 5 7 11 12 13 14 15 17 21 22 23 24
(((((((x div 2) - ((1 - x) div ((x div 2) + 1))) + 1) * 2) div (2 + 1)) + x) + 2)
A193528: 2 3 6 7 8 10 12 13 14 15 17 18 20 21 22 23
(compr(\x.((((((((x - 1) div 2) div 2) * x) div 2) div (2 + 1)) + 2) mod (2 + 1)),x) - 2)
A186808: 4 5 6 10 12 13 18 21 23 26
(((2 - (((((x mod 2) * 2) + x) * (((x div 2) + 1) div 2)) mod (2 + 1))) + x) div 2)
A087876: 1 1 1 1 2 3 4 4 4 5 6 6 7 7 7 7
((((((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) + x) * 2) div (2 + 1)) + x) + 2)
A284655: 2 3 5 7 8 11 12 14 15 17 18 21 22 24 26 27
(((((((1 - x) mod (2 - ((1 - x) div (2 + 1)))) + 2) + x) div (2 + 1)) + x) + 2)
A192450: 3 4 6 7 8 9 11 12 14 15 16 18 19 20 21 22
(x - ((((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1) * x) * (1 - x)) div 2))
A098230: 0 1 75 222 442 735 1101 1540 2052 2637 3295 4026 4830 5707 6657 7680
((((((((x div (2 + 2)) + x) * (2 + 1)) + x) * (2 + 1)) div (x + 1)) + x) div 2)
A202308: 0 3 5 6 7 8 8 9 10 10 11 11 12 13 13 13
(((((((((((x * x) + 2) * x) div 2) - 1) * x) div 2) + 1) * (x + 1)) + x) div 2)
A319491: 0 1 10 47 179
(((((((1 mod (((2 + 2) * 2) - (x div 2))) + x) div 2) + 1) mod (x + 1)) + x) + 2)
A093510: 2 3 6 8 9 11 12 14 15 17 18 20 21 23 24 25
(((((x div 2) + 1) * (x div 2)) * (((2 + 2) * 2) + 1)) + (((x + 1) * x) div 2))
A303814: 0 1 21 24 64 69 129 136 216 225 325 336 456 469 609 624
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((((x * x) - 1) * x) * 2))
A177890: 0 1 16 58 140 275 476 756 1128 1605 2200 2926 3796 4823 6020 7400
((((2 - ((2 - x) div ((x div 2) + 2))) + (((x div (2 + 1)) + 1) div 2)) + x) + 2)
A267312: 3 5 6 9 10 11 12 13 14 17 18 19 20 21 22 24
(((((((x + 2) + 1) * (x div (2 + 1))) div (((2 + 1) * 2) + 1)) * 2) + x) div 2)
A212597: 0 0 1 1 3 3 5 5 7 9 10 11 14 15 16 19
((((((x - (((x div 2) mod 2) - 1)) div 2) * (((2 + 1) * 2) + 1)) div 2) + x) + 2)
A088225: 2 6 7 8 13 17 18 19 24 28 29 30 35 39 40 41
((((((((x + 1) div ((2 + 2) + 1)) * (x div (2 + 1))) div 2) + 1) div 2) + x) + 2)
A340682: 2 3 4 5 6 7 9 10 11 13 14 15 16 17 19 21
(((((((x - ((x div (2 + 1)) mod 2)) div 2) + (x div (2 + 2))) + 1) div 2) + x) + 2)
A324562: 2 3 5 6 7 9 10 11 13 14 15 17 19 20 21 22
(((((((((x div 2) + x) div ((2 + 2) + 1)) * (x div 2)) div 2) + 1) div 2) + x) + 2)
A231876: 2 3 4 5 7 8 9 11 12 13 16 17 19 20 23 24
(((((x + 2) * 2) - ((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)) + x) * 2)
A136798: 8 14 20 24 32 38 44 48 54 62 68 74 80 84 90 98
(((((x - (((x - ((x * x) div (2 + 1))) div 2) div 2)) * (2 + 1)) div 2) + x) div 2)
A213511: 0 1 2 3 5 7 9 11 13 15 17 19 21 24 27 30
(((((((((x * x) * (2 + 1)) div (x + 2)) div 2) + 2) * (2 + 1)) div 2) + x) div 2)
A187102: 1 2 3 4 6 7 9 11
A192416: 1 2 3 4 6 7 9 11 12 14 15 16 18 20 22 23
(x mod ((((((((x div 2) - 1) mod (2 + 1)) + (x div 2)) * (2 + 1)) div 2) + x) div 2))
A059571: 0 1 0 1 0 1 0 0 1 2 1 1 0 1 2 3
((((((x * 2) + 1) mod ((x mod ((x div ((2 + 2) * 2)) + 1)) + 2)) * 2) + x) - 2)
A103303: 0 1 2 3 4 5 6 7 8 9
A337304-A333693-A333692-A322464-A235027-A057889: 0 1 2 3 4 5 6 7 8 9 10 13 12 11 14 15
(compr(\x.(((((((x * 2) mod ((x div 2) + 2)) mod 2) + x) * (2 + 1)) div 2) mod 2),x) + 2)
A120629: 2 4 5 6 9 10 13 14 16 17 18 20 21 22 24 25
((((((((2 + 2) * 2) * 2) * 2) * (x + 1)) + (((x + 1) div 2) div 2)) - x) div 2)
A220000: 16 31 47 63 78 94 109 125 141 156 172 188 203 219 234 250
((((((x * 2) div (((2 + 1) * 2) + 1)) * (((x - 1) div 2) div 2)) div 2) + x) + 2)
A058363: 2 3 4 5 6 7 8 10 11 13 14 16 17 19 22 23
(((2 - (x mod ((((x mod (((x + 1) mod (2 + 2)) + 2)) div 2) + 2) + 2))) + x) + 2)
A120327: 4 4 4 4 8 8 8 8 9 12 12 12 16 16 16 16
(compr(\x.(1 - (((x - 2) * 2) mod (((x * 2) div ((x div (2 + 2)) + 2)) + 2))),x) * 2)
A305634: 2 6 10 12 14 18 20 22 24 26 28 30 34 38 40 42
(compr(\x.(1 - ((((x - (x div (2 + 1))) div (2 + 1)) * x) mod ((2 + 2) * 2))),x) + 2)
A309265: 6 7 8 9 11 12 13 15 16 17 19 21 23 24 25 27
(((((((((x * x) + 2) * 2) div (((x + 2) + 2) + 1)) + x) div 2) * 2) + x) div 2)
A201734: 0 1 2 3 6 7 9 10 13 14 16 18 20 22 24 25
((((((x * x) * (2 + 2)) - 1) div (((2 + 1) * 2) + 1)) + ((x + 2) * x)) + 2)
A022795: 1 5 12 22 35 51 70 92 118 147 179 214 252 293 337 385
(compr(\x.(1 - (((x mod ((((x - 2) div (2 + 1)) * 2) - 1)) mod 2) + (x mod 2))),x) + 2)
A275669: 3 5 7 9 11 12 13 15 17 19 21 22 23 25 26 27
((2 - ((((x + 1) div 2) * ((x div 2) + 1)) mod (((2 + 1) * 2) + 1))) div (x + 2))
A028863: 1 0 0 ~1 ~1 0 ~1 0 ~1 ~1 0 0 0 0 0 0
(((((((((x + 2) + 2) + 2) * (x + 2)) + x) * (x + 1)) div 2) + 1) * (x + 2))
A249708: 14 69 208 485 966 1729 2864 4473 6670 9581 13344 18109 24038 31305 40096 50609
((1 - ((((1 - x) * 2) div (((2 + 2) * 2) + 1)) * ((2 + 2) + 1))) - (x + 2))
A194522: ~1 ~2 2 1 0 ~1 3 2 1 0 ~1 3 2 1 0 4
((((x mod (((x * 2) div ((x div 2) + 2)) + ((2 + 2) * 2))) + 1) * 2) mod (x + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A227876: 0 1 2 3 4 5 6 7 8 9 2 2 4 6 8 10
((((x mod 2) - ((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)) * 2) mod (x + 2))
A193526: 0 2 0 2 0 0 0 2 0 0 0 0 0 0 14 2
(((((x + 2) mod (((((x div 2) + 2) div (2 + 1)) * 2) + 1)) mod 2) + 1) + (x * 2))
A082847: 1 3 6 7 9 12 13 15 17 20 21 24 25 27 29 32
(((((x div 2) - ((2 + 2) * 2)) mod ((x div ((2 + 2) + 1)) + 2)) + 1) + (x * 2))
A188028: 1 3 6 8 9 11 14 16 19 21 22 24 27 29 32 35
(((x - ((2 - ((((x div 2) mod 2) + 2) mod ((x div 2) + 1))) div 2)) + 2) + (x * 2))
A113553: 1 4 8 11 14 17 21 24 26 29 33 36 38 41 45 48
compr(\x.(1 - ((((x * 2) div (1 - ((2 + 2) * 2))) mod (x + 1)) mod (2 + 2))),(x * 2))
A209885: 1 3 6 8 12 14 17 19 23 25 28 30 32 35 37 41
((((x - ((2 - (x div (2 + 1))) mod ((2 + 2) + 1))) mod (2 + 1)) + x) + (x * 2))
A092296: 1 5 6 11 12 16 18 22 26 29 30 34 36 40 44 46
((((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1)) + x) + (x * 2))
A092292: 0 4 8 10 14 15 20 21 25 28 32 33 38 39 43 45
(((1 - (((((2 + 2) + 1) * 2) mod (((x + 1) div 2) + 1)) mod 2)) + x) + (x * 2))
A284796: 1 4 7 9 12 16 19 22 25 28 31 33 36 40 43 45
((((x - ((((1 - (x div 2)) * 2) div ((2 + 2) + 1)) - 1)) * 2) + 1) + (x div 2))
A190488-A187973: 3 5 8 10 15 17 20 22 27 29 32 34 37 39 44 46
((((x - ((x div ((0 - 2) - 2)) * (((2 + 1) * 2) + 1))) * 2) + 1) - (x div 2))
A098159: 1 17 18 20 21 37 38 40 41 57 58 60 61 77 78 80
((((x - (x div (1 - ((2 + 2) * 2)))) div 2) + ((2 + 2) * (x + 1))) + (x div 2))
A189517: 4 9 14 19 24 29 34 39 45 49 55 59 65 69 75 80
((((x div 2) - (x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1)))) div 2) + (x div 2))
A025561: 0 0 1 1 3 3 4 4 6 6 7 7 8 8 9 8
(x mod (x - (((x div (((((x mod (2 + 1)) div 2) + 2) * 2) + 1)) + 1) - (x mod 2))))
A324938-A079413: 0 0 0 0 1 0 2 1 2 1 3 1 3 2 3 3
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2))
A272216-A265330-A007814: 0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 4
(((((x - 1) mod (((((x * x) div 2) mod (x + 2)) * 2) + 1)) div 2) + 1) + (x mod 2))
A278539: 1 2 1 3 2 4 1 5 2 6 3 7 1 8 2 9
(((((((x - 2) * 2) mod (2 - ((1 - x) div (2 + 1)))) mod 2) * 2) + 1) + (x mod 2))
A229830: 1 2 1 2 3 2 1 2 1 2 3 2 1 2 3 4
(((((x + 1) div ((((x - (x div (2 + 2))) div 2) mod 2) + 2)) div 2) + 1) - (x mod 2))
A340756: 1 0 1 0 1 1 2 1 2 1 3 3 4 2 3 4
(x - ((((x - ((((x - 1) mod ((2 + 2) + 1)) - x) div 2)) div 2) + 1) - (x mod 2)))
A132203: 0 0 0 1 1 2 1 2 2 3 3 3 2 4 3 5
(((x * 2) div ((x div (((((x + 2) * x) div 2) mod (2 + 1)) + 1)) + 2)) - (x mod 2))
A211261: 0 0 1 1 1 2 1 1 2 2 1 3 1 2 3 2
((x div (((x div 2) div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)) + 2)) + (x mod 2))
A304793-A294926-A079167: 0 1 1 2 1 3 1 3 2 3 1 4 1 3 3 4
(x - ((((((((2 + 2) * 2) * 2) + x) * (x + 2)) div (x + 1)) mod 2) - (x mod 2)))
A222245: 0 1 2 3 4 6 5 7 8 9 10 11 12 13 14 16
(((x div ((x div ((((((x - 1) div 2) div 2) mod 2) * 2) + 1)) + 2)) + 2) * (x mod 2))
A053399: 0 2 0 2 0 3 0 3 0 2 0 2 0 4 0 4
(0 - ((x div ((x div (((1 - x) mod ((x mod (2 + 2)) + 1)) + 2)) + 2)) + (x mod 2)))
A305052: 0 ~1 ~1 ~2 ~1 ~2 ~1 ~3 ~1 ~2 ~1 ~3 ~1 ~2 ~2 ~4
((x div ((x div ((((x - (x div (2 + 2))) div 2) mod (2 + 1)) + 2)) + 2)) + (x mod 2))
A007302: 0 1 1 2 1 2 2 2 1 2 2 3 2 3 2 2
((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) - (x mod 2))
A000695: 0 1 4 5 16 17 20 21 64 65 68 69 80 81 84 85
((((((((2 + 2) * (x - 1)) * (2 + 1)) * ((2 + 2) + 1)) + 1) + x) * x) div 2)
A098140: 0 1 63 186 370 615 921 1288 1716 2205 2755 3366 4038 4771 5565 6420
(((((((((x * x) + 2) * x) * ((x * x) + 1)) div 2) div (2 + 1)) + x) * x) div 2)
A046023: 0 1 12 87 416 1475 4236 10437 22912 45981 85900 151371 254112 409487 637196 962025
((1 - (x - (((((x * x) + 1) * x) div 2) * ((2 + 2) + 1)))) * ((x * x) * 2))
A134633: 0 10 192 1314 5344 16050 39600 85162 165504 297594 503200 809490 1249632 1863394 2697744 3807450
(((x - (1 - (((x + 1) * 2) * (2 + 1)))) * (((x * x) * x) * (x * x))) div 2)
A229148: 0 6 304 3159 16896 62500 182736 453789 999424 2007666 3750000 6603091 11073024 17822064 27697936 41765625
compr(\x.(((x + 1) mod (((x - 1) mod (((((x mod 2) + 2) + 1) * 2) + 1)) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A082324: 0 1 2 3 4 5 6 7 8 9 11 14 16 19 21 22
compr(\x.((x div 2) - ((x mod ((((x mod ((2 + 2) + 1)) * 2) * (2 + 1)) + 1)) + 1)),x)
A023799: 0 1 2 3 4 6 7 8 9 11 12 13 14 18 19 24
compr(\x.(1 - (x mod ((x div (((((x - 1) mod ((2 + 2) + 1)) + 1) * 2) + 1)) + 1))),x)
A059808: 7 9 11 13 15 16 17 19 21 22 23 25 26 27 28 29
compr(\x.(((x * x) - 2) mod (((((2 + 2) * 2) * 2) * (((2 + 1) * 2) + 1)) + 1)),x)
A206525: 51 62 164 175 277 288 390 401 503 514 616 627 729 740 842 853
compr(\x.(1 - ((x * 2) mod (((x mod ((2 + 2) + 1)) * (((2 + 2) * 2) + 1)) - 1))),x)
A081754: 1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 23
compr(\x.((x div (((((2 - x) mod ((2 + 2) + 1)) - (x mod (2 + 2))) * 2) + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A068892: 0 1 2 3 4 5 6 7 8 9 11 13 15 17 22 26
compr(\x.(1 - ((((x + 2) * x) + 1) mod ((((x + 1) * 2) div ((2 + 2) + 1)) + 1))),x)
A225793-A176995: 2 4 6 8 10 11 12 13 14 15 16 17 18 19 21 22
(((((((((x + 1) div 2) div (2 + 1)) + 1) * x) div 2) div ((2 + 2) + 1)) + 1) + x)
A325118: 1 2 3 4 5 7 8 9 10 11 13 15 16 17 19 20
compr(\x.((((((x * x) * 2) mod ((((2 + 2) * 2) * 2) + 1)) + 1) mod (2 + 1)) - 1),x)
A010379: 0 1 2 4 8 9 13 15 16
A136805-A010395: 0 1 2 4 8 9 13 15 16 17 18 19 21 25 26 30
compr(\x.(((x div (((2 - ((((x div 2) + 1) div 2) div 2)) + 2) + 1)) mod (2 + 1)) - 1),x)
A023762: 0 1 2 3 4 5 6 7 12 13 14 18 19 20 21 24
(((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) * x)
A066189: 0 1 2 6 8 15 24 35 48 72 100 132 180 234 308 405
compr(\x.(((((x div 2) + 1) div (((x + 1) mod ((x mod 2) + 2)) + 2)) mod (2 + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A106801: 0 1 2 3 4 5 6 7 8 9 11 13 16 17 18 20
compr(\x.(2 - ((x + 1) mod (((2 - ((x mod ((x mod 2) + 2)) div 2)) * (2 + 1)) + 1))),x)
A318932: 1 2 3 4 5 8 9 10 12 15 16 17 18 19 22 24
((((((((2 + 1) * x) + 2) * 2) * 2) + 1) * (((2 + 2) * (2 + 1)) + 1)) + x)
A304610: 117 274 431 588 745 902 1059 1216 1373 1530 1687 1844 2001 2158 2315 2472
((((((((2 + 1) * x) + 2) * 2) * 2) + 1) * (((2 + 2) * (2 + 1)) + 1)) - x)
A304611: 117 272 427 582 737 892 1047 1202 1357 1512 1667 1822 1977 2132 2287 2442
compr(\x.(1 - ((x mod (((2 + 1) * 2) + 1)) - (x mod (((2 + 2) * (2 + 1)) + 1)))),x)
A297279-A296752: 13 26 27 39 40 41 52 53 54 55 65 66 67 68 69 78
((((((x div 2) div (2 - (x div (((x div 2) mod 2) + 1)))) + x) div (2 + 1)) + 1) + x)
A289017: 1 2 4 5 6 7 8 9 11 12 13 15 16 18 19 20
compr(\x.(((((x mod (((2 + 2) * (2 + 1)) - 1)) * 2) * 2) - (x div (2 + 1))) + 1),x)
A297273-A296746: 11 22 23 33 34 35 44 45 46 47 55 56 57 58 59 66
compr(\x.(1 - ((x + 1) mod ((((x div 2) mod (2 + 2)) + 1) * ((x mod (2 + 1)) + 1)))),x)
A334736: 2 4 5 6 10 12 13 14 16 18 20 21 22 26 28 29
compr(\x.((x + 1) mod (((x mod (((x - 1) mod (((2 + 1) * 2) + 1)) + 1)) * 2) + 1)),x)
A023763: 0 1 2 3 4 5 6 7 8 14 15 16 21 22 23 24
compr(\x.(1 - (x mod (((x div (((x div ((x mod (2 + 2)) + 1)) + 2) + 1)) * 2) + 1))),x)
A063547: 5 7 10 11 13 14 17 18 19 22 23 25 26 27 29 31
compr(\x.(1 - ((x + 1) mod ((x div (((x div 2) mod (((2 + 1) * 2) + 1)) + 2)) + 1))),x)
A054023: 4 6 8 10 12 14 16 18 20 21 22 24 25 26 28 30
compr(\x.(2 - (x mod ((((((x - (((x div 2) - 1) div 2)) div 2) mod 2) + 1) * 2) + 1))),x)
A028728: 2 3 5 7 8 11 12 13 14
A106735: 2 3 5 7 8 11 12 13 14 17 18 19 20 23 24 26
((((((((((x * x) * (2 + 2)) div (x + 1)) + 2) * 2) * 2) - 1) * 2) - 1) - x)
A281476: 13 28 51 82 105
compr(\x.(2 - (x mod (((((x + 2) div ((((x + 1) div 2) div 2) + 2)) + 1) * 2) + 1))),x)
A286421: 2 3 4 5 6 9 11 12 13 14 16 17 20 21 22 23
((((x - (x mod (((2 + 2) + 1) * 2))) * (x mod (((2 + 2) + 1) * 2))) + 1) * x)
A103303: 0 1 2 3 4 5 6 7 8 9
A061378: 0 1 2 3 4 5 6 7 8 9 10 121 252 403 574 765
(((((((x * x) - (x div 2)) * x) div 2) div (2 + 1)) div (((2 + 1) * 2) + 1)) + x)
A175846: 0 1 2 3 5 7 10 14 19 25 32 41 51 63 77 92
compr(\x.(1 - ((x mod ((2 + 2) * 2)) - (((x + 2) + 1) mod (((2 + 1) * 2) + 1)))),x)
A022561: 4 5 6 7 11 12 13 14 15 18 19 20 21 22 23 25
compr(\x.((((x div (((2 + 1) * 2) + 1)) + 1) * (x + 1)) mod (((2 + 1) * 2) + 1)),x)
A337141: 6 13 20 27 34 41 42 43 44 45 46 47 48 55 62 69
compr(\x.(2 - ((0 - (((x mod (2 + 2)) + 1) * (x + 1))) mod (((2 + 1) * 2) + 1))),x)
A067570: 0 1 2 3 4 5 7
A075745: 0 1 2 3 4 5 7 8 10 14 15 16 17 18 19 21
compr(\x.(1 - (x mod ((x mod ((((x - 1) * (2 + 1)) mod ((x div 2) + 1)) + 2)) + 1))),x)
A062062: 1 2 3 5 7 8 9 11 13 14 15 17 19 22 23 25
compr(\x.(x mod ((((((x div (2 + 2)) + x) * (2 + 1)) mod ((x div 2) + 1)) div 2) + 1)),x)
A115845: 0 1 2 3 4 5 6 7 8 10 12 14 16 17 20 21
compr(\x.(1 - (((((x * x) * x) - 1) * x) mod (((((2 + 2) + 1) * 2) * 2) + 1))),x)
A028734: 2 3 5 6 8 10 11 12 13 14 17 19 20
A028755: 2 3 5 6 8 10 11 12 13 14 17 19 20 23 24 26
(((((x div 2) * x) div 2) div (((2 - (x - (((2 + 2) * 2) * 2))) * 2) + 1)) * x)
A326588: 0 0 0 0 0 0 0 0 0 0 10 11 24 39 70 105
compr(\x.(1 - ((x + 1) mod ((x mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 2)) + 1))),x)
A091886: 6 9 10 12 14 15 16 18 20 21 22 24 25 26 27 28
(((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * (((2 + 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A336956-A333659-A321474-A225805-A004186: 0 1 2 3 4 5 6 7 8 9 10 11 21 31 41 51
((((((x + 1) * x) div (2 + 2)) * ((2 + 2) + 1)) div (((2 + 2) * 2) + 1)) + x)
A117490: 0 1 2 4 6 8 11 14 18 21 25 29 33 38 42 48
(((((x div (((2 + 1) * 2) + 1)) + 1) * (x + 1)) div (((2 + 2) * 2) + 1)) + x)
A094942: 0 1 2 3 4 5 6 8 10 11 12 13 14 16 19 20
compr(\x.(2 - (((((x div (2 + 2)) + 2) * (x + 1)) - 2) mod (((2 + 2) * 2) + 1))),x)
A289342: 1 2 3 4 5 7 8 9 10 13 15 17 18 21 22 23
compr(\x.(2 - ((((x * 2) mod (((x div 2) + 2) + 2)) + x) mod (((2 + 2) * 2) + 1))),x)
A048263: 1 2 3 4 6 7 8 9 10 11 12 14 15 16 19 20
compr(\x.((((x - 1) mod (((2 + 2) * 2) + 1)) + 2) - (x div (((2 + 2) * 2) + 1))),x)
A304367-A298638-A291884-A173639: 19 28 29 37 38 39 46 47 48 49 55 56 57 58 59 64
((((x div (2 - (x - (((2 + 2) * 2) * 2)))) + (x div ((2 + 2) * 2))) + 1) + x)
A270427: 1 2 3 4 5 6 7 8 10 12 13 14 16 17 19 22
(((((x * 2) - (x mod ((((2 + 2) * 2) * 2) - 1))) * 2) div ((2 + 2) + 1)) + x)
A039046: 0 1 2 4 5 7 8 9 11 12 14 15 16 18 19 27
((((((((x div (2 + 1)) mod (2 + 1)) + x) + 1) div (2 + 1)) + 1) * (2 + 1)) + x)
A219658: 3 4 8 9 13 14 18 19 20 21 22 26 27 31 32 36
(((x * x) div ((x - ((((x + 2) div ((2 + 2) + 1)) * 2) - 1)) * (2 + 1))) + x)
A219640: 0 1 2 4 5 7 8 9 12 13 14 16 17 20 21 22
compr(\x.((((((x * x) mod ((((2 + 2) * 2) * 2) + 1)) div 2) * 2) + 1) mod (2 + 1)),x)
A154663: 3 5 6 7 10 11
A028730: 3 5 6 7 10 11 12 14
A136806-A028747: 3 5 6 7 10 11 12 14 20 22 23 24 27 28 29 31
((x div (((((x + 2) * (x + 1)) mod (((2 + 1) * 2) + 1)) + 2) * (2 + 1))) + x)
A067570: 0 1 2 3 4 5 7
A343271: 0 1 2 3 4 5 7 7 8 9 10 11 14 15 15 15
((((x - 1) * x) div (((2 - (x - (((2 + 2) * 2) * 2))) * 2) * (2 + 1))) * x)
A326464: 0 0 0 0 0 0 0 0 0 9 10 22 36 65 98 165
((((((((2 + 1) * 2) + 1) * (x + 1)) + (x div (2 + 2))) * 2) div (2 + 1)) + x)
A328986: 4 10 16 21 28 33 39 45 51 57 62 68 74 80 86 91
((1 - (((x - (((x + 1) div ((2 + 2) + 1)) mod 2)) div 2) mod 2)) + ((2 + 1) * x))
A231407: 1 4 6
A317538: 1 4 6 9 12 16 19 21 24 28 30 33 37 40 43 45
((1 - ((x mod (2 + 1)) - (((x div ((2 + 2) * (2 + 1))) + x) mod (2 + 1)))) + x)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A191430: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 13 17
((((((((1 - x) * (2 + 2)) + 1) * (1 - x)) * (2 + 1)) * x) * (2 + 1)) + x)
A287702: 0 1 56 381 1192 2705 5136 8701 13616 20097 28360 38621 51096 66001 83552 103965
((((2 - ((x - (x div ((2 + 2) + 1))) mod ((2 + 2) * 2))) + x) div (2 + 1)) + x)
A004742: 0 1 2 3 4 6 7 8 9 12 14 15 16 17 18 19
compr(\x.((((x div (2 + 2)) + 1) div ((x mod ((2 + 2) + 1)) + 1)) - (x mod (2 + 1))),x)
A210576: 1 2 3 4 5 7 8 9 11 13 14 17 19 23 29
((((((x mod (((x * x) div (((x + 2) + 2) + 1)) + 1)) + 1) + x) div 2) + 1) + x)
A225647: 1 3 4 6 7
A183233: 1 3 4 6 7 10 11 13 15 16 18 19 21 22 24 25
(1 - ((1 - ((((((x + 2) * 2) + x) * (2 + 1)) - 1) * ((x * 2) + 1))) * x))
A338109: 1 60 289 796 1689 3076 5065 7764 11281 15724 21201 27820 35689 44916 55609 67876
(((((((((x div 2) * x) + 1) div (2 + 1)) * (2 + 1)) div 2) - (x mod 2)) + 1) + x)
A075709: 1 1 4 4 9 9 16 17 25 27 36
((compr(\x.((((x mod (((x div 2) div (2 + 1)) + 1)) - x) mod (2 + 1)) - 1),x) + 1) - x)
A272605: 1 2 2 3 3 3 3 3 5 5 5 5 5 5 7 7
((compr(\x.((x mod ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) + 2)) - 1),x) + 1) + x)
A230104: 1 3 5 7 9 11 13 15 17 19 21 25 27 31 33 36
(((((((x * x) * (2 + 1)) + x) * x) + 1) * ((((x * 2) + 1) * x) + 1)) + x)
A113531: 1 21 321 2005 7737 22461 54121 114381 219345 390277 654321 1045221 1604041 2379885 3430617 4823581
((compr(\x.((((x - 1) mod ((x div ((2 + 2) + 1)) + 1)) mod 2) - (x mod 2)),x) + 1) - x)
A025782: 1 1 1 1 1 1 2 3 3 3 3 3 4 5 6 6
((compr(\x.((((x - ((x - (x mod (2 + 1))) div 2)) div 2) mod 2) - (x mod 2)),x) + 1) - x)
A123273: 1 1 2 3 4 4 4 5 6 6 6 6 6 6 6 7
(((1 - ((x + 1) mod ((((x - 1) div ((2 + 2) + 1)) * 2) + 1))) div (x + 1)) + x)
A128559: 1 1 2 3 4 5 6 6 8 9 9 10 11 12 14 15
((((((x * 2) * 2) - (((x div (2 + 2)) + x) div (2 + 1))) * x) div (x + 1)) - x)
A079527: 0 1 3 5 8 10 12 15 17 20 22 25 27 30 33 35
compr(\x.((x - (((x - 1) mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) - 1)) mod 2),x)
A097389: 1 3 4 5 6 7 8 9 14 15 18 19 20 21 22 23
compr(\x.(1 - (x mod (((x + 1) mod (((x * 2) mod (((2 + 1) * 2) + 1)) + 1)) + 2))),x)
A122090: 1 2 3 4 5 7 9 10 11 13 17 19 21 22 23 25
(((x div ((((x + 2) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)) + 2) + x)
A254733: 2 4 6 6 10 12 14 10 12 20 22 18 26 28 30 20
((((((x div (2 + 1)) * 2) div (2 + 1)) * ((x div ((2 + 2) + 1)) + 1)) div 2) + x)
A067570: 0 1 2 3 4 5 7
A050744: 0 1 2 3 4 5 7 8 9 11 13 14 15 16 17 21
compr(\x.((x - ((1 - ((x * 2) div (2 + 1))) div ((x div ((2 + 2) + 1)) + 1))) mod 2),x)
A225745: 1 2 3 5 6 8 9 10 13 15 17 19 21 23 25 27
compr(\x.(1 - (((((x * x) * x) - 1) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) mod 2)),x)
A028732: 2 3 8 10 12 13 14 15 18
A028751: 2 3 8 10 12 13 14 15 18 21 22 27 29 31 32 33
(((2 - ((1 - x) div ((x div (2 + 2)) + 2))) + (((x div (2 + 1)) + 1) div 2)) + x)
A197128: 2 3 5 7 8 10 11 12 13 15 17 18 19 20 21 23
compr(\x.(1 - (x mod ((x mod ((x div (((x div 2) mod ((2 + 2) + 1)) + 2)) + 1)) + 2))),x)
A019470: 1 5 7 10 11 13 14 17 18 19 20 21 22 23 24 25
(((((x + 1) div (((2 + 1) * 2) + 1)) * ((((x + 1) div 2) div 2) + 1)) div 2) + x)
A067570: 0 1 2 3 4 5 7
A191849: 0 1 2 3 4 5 7 8 9 10 11 13 14 17 18 20
compr(\x.((((((2 - ((x div (2 + 2)) mod 2)) * ((x + 1) div 2)) div 2) div 2) + 1) mod 2),x)
A043345-A023718: 3 7 11 12 13 14 19 23 27 28 29 30 35 39 43 44
compr(\x.(1 - (((x + 1) mod ((((x mod 2) * (2 + 1)) + (x div (2 + 2))) + 1)) div 2)),x)
A118621: 1 7 9 10 14 15 16 17 18 19 20 21 22 23 24 25
compr(\x.(1 - (x mod ((((x div (2 - (x mod 2))) + 1) mod ((x div (2 + 2)) + 1)) + 2))),x)
A046840: 1 3 4 5 7 11 12 13 15 16 17 19 20 21 23 25
compr(\x.(1 - (x mod ((((x div (((x - 1) mod (2 + 2)) + 1)) + 1) mod (2 + 1)) + 2))),x)
A275721: 1 2 3 5 7 11 13 14 15 17 19 23 25 26 29 31
((((0 - ((x * 2) div ((((1 - x) div (2 + 1)) - 2) - 1))) * (2 + 1)) div 2) + x)
A038100: 0 2 3 6 7 8 10 11 12 13 16 17 18 19 20 21
compr(\x.(1 - (x mod (((x - (x div (0 - ((x div (2 + 2)) + 1)))) mod (2 + 1)) + 2))),x)
A167857: 1 2 3 5 7 9 10 11 13 17 19 22 23 25 29 31
compr(\x.(1 - (x mod (((x - (((x div 2) * (x div 2)) div (2 + 1))) mod (2 + 1)) + 2))),x)
A193622: 1 2 3 5 7 10
A046758: 1 2 3 5 7 10 11 13 14 15 16 17 19 21 23 25
compr(\x.((x div ((((x - (x div (((x mod 2) + 2) + 2))) mod 2) + (x mod 2)) + 1)) mod 2),x)
A233524: 0 1 2 4 5 8
A327609: 0 1 2 4 5 8 9 10 12 13 16 17 18 20 24 25
(((((((x + 2) + 2) * (x + 2)) + ((2 + 2) * (2 + 1))) * (x + 1)) div 2) * x)
A129026: 0 27 108 282 600 1125 1932 3108 4752 6975 9900 13662 18408 24297 31500 40200
((((0 - ((x - (((x div 2) - (x mod (2 + 2))) div 2)) div 2)) mod (x + 1)) + 2) + x)
A050095: 2 4 6 7 10 11 12 14 16 17 19 20 23 24 25 27
((((((x * x) div (((((2 + 2) * 2) * 2) + x) + 2)) + 2) mod (x + 1)) + 2) + x)
A299407: 2 3 6 7 8 10 11 12 14 16 17 19 20 22 24 25
compr(\x.(2 - (((x + 2) + 1) mod ((((x div (2 + 2)) + 2) + 2) + ((x + 1) mod 2)))),x)
A174805: 0 3 5 6 8 10 11 12 13 15 17 18 19 20 21 22
(((((((((x - 1) div 2) div 2) * x) div 2) + (x div ((2 + 2) + 1))) div 2) div 2) + x)
A067570: 0 1 2 3 4 5 7
A212289: 0 1 2 3 4 5 7 8 9 11 13 14 15 18 19 21
(((((((((x - (x div (2 + 1))) div (2 + 1)) * 2) * 2) + x) + 1) * 2) * 2) - x)
A341282: 4 7 10 13 32 35 38 41 60 63 66 69 72 91 94 97
(1 div ((((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) mod (x + 1)) + 2) * 2) - x))
A286132: 0 0 0 0 0 1 0 0 ~1 0 0 ~1 0 0 0 ~1
((((((((2 - (x div 2)) mod (x + 1)) div 2) * ((2 + 2) + 1)) div 2) + 2) div 2) + x)
A032902-A032868-A032341: 1 2 3 4 5 6 10 11 12 15 16 17 18 20 21 22
((((((2 - ((1 - (x * 2)) div ((2 + 2) + 1))) * (2 + 1)) div 2) div 2) * 2) + x)
A177987: 2 5 6 7 10 11 12 13 14 17 18 21 22 23 26 27
((((x - ((((x - (x div (2 + 2))) div 2) - ((x * 2) + 1)) * 2)) * 2) * 2) + x)
A035339: 8 29 42 63 84 97 118 131 152 173 186 207 228 241 262 275
((((x - ((2 - (x div ((x div ((x mod (2 + 2)) + 1)) + 2))) div 2)) div 2) + 2) + x)
A232744: 1 3 5 6 7 9 11 12 13 15 17 18 19 21 23 25
(((((((((x div 2) - ((x div (2 + 2)) mod 2)) + 1) div 2) + 2) + 2) + 2) * 2) + x)
A084622: 12 13 16 17 18 19 20 21 24 25 28 29 30 31 32 33
((((x - (((x mod (((2 + 2) + 1) * 2)) + (x div (2 + 2))) div 2)) div 2) * 2) + x)
A192225: 0 1 2 5
A228090: 0 1 2 5 6 7 8 9 10 13 18 21 22 23 24 25
compr(\x.(((x div 2) - ((x - (((x * 2) + 1) mod ((x div (2 + 2)) + 2))) div 2)) mod 2),x)
A018195: 1 3 4 7 12 14 15 16
((x - ((((((x div ((x mod 2) + 2)) - x) * (x div (2 + 2))) div 2) div 2) div 2)) - x)
A330216: 0 0 0 0 1 1 1 1 1 2 2 2 3 4 3 4
compr(\x.(2 - ((x + 1) mod (((((((x + 1) div 2) div 2) * (x div 2)) mod 2) + 2) + 2))),x)
A045989: 1 2 3 5 6 9 10 11 13 17 18 21 22 25 26 27
((((((x * x) * x) div ((((2 + 2) * 2) * 2) + 1)) - (x div (2 + 2))) div 2) + x)
A175831: 0 1 2 3 5 8 11 16 22 29 38 49 61 76 93 112
(((((((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1) * (x div 2)) div 2) div 2) + x)
A239091: 0 1 2 3 5 6 8 9 12 14 17 18 21 23 26 27
(((((((x * 2) div ((x mod ((2 + 2) * 2)) + 1)) mod 2) + (x div 2)) + 2) + 2) + x)
A098015: 4 6 8 9 11 12 14 15 16 18 19 21 22 23 25 27
(((((x - ((((1 - x) * (x div 2)) div 2) div (2 + 1))) mod (2 + 1)) + x) div 2) + x)
A171944: 0 2 3 5 7 8 9 11 12 13 15 17 19 20 21 23
(((((x * x) + 2) * (2 + 1)) div (((((2 + 2) * 2) * (2 + 1)) + x) + 2)) + x)
A066026: 0 1 2 4 5 7 9 11 13 16 18 20 23 26 28 31
((compr(\x.((((x - 1) div ((x div ((2 + 2) + 1)) + 2)) mod 2) - (x mod 2)),x) * 2) - x)
A080724: 2 3 4 7 10 11 12 13 14 15 16 19 22 25 28 31
((((((((x div ((2 + 2) + 1)) * 2) + x) + 1) * 2) * (2 + 1)) div (x + 2)) + x)
A296365: 3 5 6 7 9 11 12 13 14 15 17 18 19 20 21 22
((((((((x * x) + 2) * x) div (2 + 1)) + x) div (x + 2)) + 1) + ((x + 2) * x))
A283969: 1 4 10 18 29 43 59 78 99 123 150 179 211 246 283 323
(((((((((x div 2) + 1) * (2 + 1)) * (2 + 1)) + x) + x) + 1) * (x div 2)) + x)
A303812: 0 1 25 28 76 81 153 160 256 265 385 396 540 553 721 736
(((x * 2) + 1) - compr(\x.((((x + 1) div (1 - ((2 + 2) * 2))) mod 2) - (x mod 2)),x))
A102674: 0 0 0 0 1 2 3 4 5 6 6 6 6 6 7 8
compr(\x.(((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1)) - x),x)
A344602: 0 1 2 4 7 8 11 13 14 16 19 21 22 25 26 28
((((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (((2 + 2) * 2) + 1)) - x) * x)
A084021: 0 8 14 18 20 20 18 14 8 0 890 968 1044 1118 1190 1260
(((((((x - 1) * 2) div (2 - ((2 - x) div ((x div 2) + 2)))) mod 2) + 1) + x) + x)
A285250: 1 3 6 8 9 11 14 15 17 19 21 24 26 27 29 32
(((((((x div (2 + 2)) + 1) div 2) + 1) - (x mod ((x div (2 + 2)) + 1))) + x) + x)
A189171: 1 3 5 7 10 11 14 15 16 20 21 22 27 28 29 30
((((((x + 2) - (((1 - x) * 2) div ((2 + 2) + 1))) div 2) * (2 + 1)) + x) + x)
A190557: 3 5 10 15 20 22 27 32 34 39 44 46 51 56 61 63
((((x - (((2 + 1) * x) mod ((((2 + 1) * 2) * (2 + 1)) + 1))) div 2) + x) + x)
A004835: 0 1 2 3 4 5 6 16 17 18 19 20 21 32 33 34
((((((((x * x) div (2 + 2)) * (x + 1)) div ((x + 2) + 2)) + x) + 2) + x) + x)
A184430: 2 5 8 12 16 21 26 31 38 44 51 59 67 75 84 94
(((((((((2 + 1) * x) + 2) * 2) * 2) + 1) * ((x + 1) div 2)) + 1) - (x * x))
A228142: 1 21 30 82 99 183 208 324 357 505 546 726 775 987 1044 1288
((((((((((x div (2 + 2)) * x) - 1) div (2 + 1)) mod 2) + x) + 2) + x) + x) + x)
A184422: 3 7 11 15 19 23 27 30 35 39 42 47 51 54 59 62
loop(\(x,i).loop(\(x,i).loop(\(x,i).loop(\(x,i).loop(\(x,i).loop(\(x,i).(i * x),i,x),i,x),i,x),i,x),i,x),x,1)
A260404: 1 1 2 192 6115295232 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(i * 2),(if (i mod 2) <= 0 then 2 else (x * 2)),x),(i - 1),1) + x),x,0)
A177240: 0 1 5 9 25 29 45
((if (x mod (2 + 2)) <= 0 then 1 else loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) + (if x <= 0 then 0 else 1))
A334230: 1 1 2 1 2 3 1 2 2 4 1 2 2 4 5 1
(loop(\(x,i).(x * x),x,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).(i * x),loop(\(x,i).(x * 2),x,1),1))
A057157: 0 2 232 16736896 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + loop(\(x,i).(i * x),x,1)),(x - 1),1))
A114020: 0 1 2 3 8 40326
(1 - loop(\(x,i).loop(\(x,i).(x - (if x <= 0 then 0 else ((i * 2) + 1))),x,x),1,loop(\(x,i).(x * 2),x,1)))
A056008: 3 2 5 1 9 4 17 16 33 17 65 68 129 89 257 356
loop(\(x,i).(if x <= 0 then 1 else ((if (((2 + 2) * 2) mod (if x <= 0 then 1 else x)) <= 0 then x else 0) + x)),1,(x - 1))
A048167: 1 1 2 4 3 8 5 6 7 16 9 10 11 12 13 14
loop(\(x,i).(loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,i) + 1)) + x),x,1)
A051678: 1 2 6 7 11 20 21 25 34 50 51 55 64 80 105 106
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(x * x),2,(i + 1))) + x),i,1) + x),x,1)
A253636: 1 258 7076 79430 542409 2685004 10592400 35277012 103008345 270739678 652829892 1464901802 3092704433 6196296120 11862778432 21824228040
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).loop(\(x,i).((i * i) + x),(i + 1),x),i,1) + x),i,1) + x),x,1)
A040977: 1 8 35 112 294 672 1386 2640 4719 8008 13013 20384 30940 45696 65892 93024
loop(\(x,i).loop(\(x,i).((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,1)) * x) div 2),i,x),x,1)
A203303: 1 1 6 1008 20321280 203199794380800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x div (if i <= 0 then 1 else i))),i,1) + (i * x)),x,1)
A003175: 1 2 8 31 139 724
(loop(\(x,i).i,compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),2,x),x),1) + 2)
A133387-A105399: 3 7 13 19 23 31 37 43 47 53 61 67 73 79 83 89
(loop(\(x,i).loop(\(x,i).(x * 2),x,x),1,loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x))) div 2)
A130322: 1 4 1 12 4 1 32 12 4 1 80 32 12 4 1 192
((if x <= 0 then 2 else loop(\(x,i).(loop(\(x,i).(if x <= 0 then i else (x - 1)),x,1) + x),1,(x - 1))) + (x * 2))
A079251: 2 3 5 10 12 14 22 24 26 28 30 32 46 48 50 52
(compr(\x.loop(\(x,i).loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),2,x),2,x),x) + 2)
A201363: 2 3 7
A105792: 2 3 7 13 19 23 31 37 43 47 53 61 67 73 79 83
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else loop(\(x,i).(x * 2),(x div 2),loop(\(x,i).((x * x) * x),x,2))))
A193134: 1 16 4096 2147483648 4611686018427387903 4611686018427387903
compr(\x.(if loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x) <= 0 then x else 0),x)
A161989: 0 1 2 4 7 8 11 13 14 15 16 19 21 22 23 25
(loop(\(x,i).(x - (if x <= 0 then 1 else (x - loop(\(x,i).(x - (if x <= 0 then 0 else i)),i,x)))),x,(x + 1)) + x)
A173964: 1 2 1 2 3 2 3 1 2 3 4 3 4 2 3 4
(loop(\(x,i).(x * 2),(if (((2 + 2) * 2) mod (if x <= 0 then 1 else x)) <= 0 then x else 0),1) div (if x <= 0 then 1 else x))
A167001: 1 2 2 0 4 0 0 0 32 0 0 0 0 0 0 0
loop(\(x,i).(if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))),2,x)
A101300: 3 3 5 7 7 11 11 13 13 13 13 17 17 19 19 19
(if (x - 2) <= 0 then (x * x) else loop(\(x,i).(x * x),1,loop(\(x,i).((i * i) + x),((x * 2) + 1),0)))
A003556: 0 1 4 19600
(if (x - 1) <= 0 then 1 else (if (x mod 2) <= 0 then loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) else 0))
A282411: 1 1 111 0 11111 0 1111111 0 111111111 0 11111111111 0 1111111111111 0 111111111111111 0
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((((2 + 1) * 2) + 1) * x),(i + 1),x),i,1) + x),(x + 1),0)
A178190: 49 16856 40370463 678263443312 79792944561055313 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if x <= 0 then 2 else (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) * x)),(x - 1),0)
A121406: 0 0 2 6 30 270 2970 44550 757350 15904350 429417450 12453106050 435858711750 16998489758250 696938080088250 31362213603971250
loop(\(x,i).(x * 2),x,(if (x - 1) <= 0 then 1 else (if (x mod ((2 + 2) + 1)) <= 0 then ((x + 1) * 2) else 0)))
A086260: 1 2 0 0 0 384 0 0
loop(\(x,i).(i + x),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),0)
A115364: 1 3 1 6 1 3 1 10 1 3 1 6 1 3 1 15
loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x - (2 + 1)) * 2),x,0))))
A089271: 1 38 652 9080 116656 1446368 17636032 213311360 2569812736 30898216448 371141389312 4455873443840 53483541999616 641880868118528 7703040602324992 92439308337643520
(loop(\(x,i).(x div 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1)) + loop(\(x,i).((x + 1) * 2),x,0))
A002804: 1 4 9 19 37 73 143 279 548 1079 2132 4223 8384 16673 33203 66190
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(i * x),(i - 1),1) + (i * x)),i,1) + ((i + 1) * x)),x,0)
A308729: 0 2 11 61 379 2668 21160 187388 1836396 19753416 231545016 2939000832 40172455296 588444153984 9197306248320 152803737342720
loop(\(x,i).(loop(\(x,i).((if x <= 0 then 1 else ((i - (((i mod 2) * 2) - 1)) * x)) + x),i,1) - x),x,0)
A088110: 0 1 3 9
A121696: 0 1 3 9 63 297 2583 17577 184023 1630377 20142423 219358377 3133652823 40455492777 656970836823 9804424107177
loop(\(x,i).((loop(\(x,i).(x * 2),x,(if (i - 2) <= 0 then 1 else x)) mod (((2 + 2) + 1) * 2)) + x),x,0)
A222010: 0 1 3 7
A118667: 0 1 3 7 13 19 21 23 27 33 39 41 43 47 53 59
loop(\(x,i).(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i),2) + x),x,0)
A076793: 0 4 12 44 172 2220 10412 141484 665772 9054380 545925292 2693408940 140132362412 2339155617964 11135248640172 151872736995500
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((if x <= 0 then 1 else x) * 2) * ((2 + 2) + 1)),x,0)) + 1)
A135577: 1 111 10101 1001001 100010001 10000100001 1000001000001 100000010000001 10000000100000001 1000000001000000001 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),(x - 2),loop(\(x,i).(x * 2),(x * x),loop(\(x,i).((x * 2) + 1),x,0))) + 1)
A145572: 1 3 49 12845057 4611686018427387903 4611686018427387903
loop(\(x,i).(x div 2),(x * x),(loop(\(x,i).(if x <= 0 then (2 + 2) else ((x * x) * (x * x))),x,0) + 1))
A093987: 1 2 16 8388608 4611686018427387903
(loop(\(x,i).((if (1 - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) <= 0 then 1 else i) + x),x,0) + 1)
A120797: 1 2 4 5 9 10 11 18 19 28 29 40 41 54 55 56
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((if (x - 2) <= 0 then 1 else (2 + 2)) + (x * 2)),x,1) - 1)) + 1)
A269815: 1 5 37 185 817 3425 14017 56705 228097 914945 3664897 14669825 58699777 234840065 939442177 3757932545
(loop(\(x,i).((x * x) * x),1,(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,1)) - 1)) + 1)
A020526: 0 2 1332 166376 13651920 973242272 65499561792 4294977781376 278176525712640 17908846064302592 1149543810255025152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * (2 + 1)) else 1)
A010167: 9 1 3 1 18 1 3 1 18 1 3 1 18 1 3 1
(((loop(\(x,i).(i * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) + 2) mod (2 + 1)) + 1)
A218828: 1 1 2 1 2 1 1 2 1 3 1 2 1 3 2 1
(((if x <= 0 then 1 else ((x * 2) - loop(\(x,i).((if x <= 0 then (i * 2) else x) - 1),x,2))) div (2 + 1)) + 1)
A220661: 1 1 2 1 2 3 4 5 6 1 2 3 4 5 6 7
loop(\(x,i).(x * 2),x,((loop(\(x,i).((x + 1) * 2),x,2) - (if (x - 2) <= 0 then x else (2 + 1))) - 1))
A271005: 1 8 44 208 928 3904 16000 64768 260608 1045504 4188160 16764928 67084288 268386304 1073643520 4294770688
loop(\(x,i).((x * x) * x),1,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))
A088378: 1 8 27 8 125 8 343 8 27 8 1331 8 2197 8 27 8
(if x <= 0 then 2 else (x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))))
A242560: 2 1 2 2 4 3 6 4 6 5 10 6 12 7 10 8
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x * 2) * 2),i,1)) * x),((x * 2) - 1),1)
A144546: 1 12 11612160 794088208701849600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) + 1),(x div 2),1) else 1)
A134761: 1 1 3 1 11 1 39 1 139 1 503 1 1847 1
(loop(\(x,i).(i * x),x,loop(\(x,i).(((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) * (x + 1)),x,1)) - 1)
A171554: 0 1 5 71 311
loop(\(x,i).(x * 2),x,((loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1))
A074542: 3 16 104 736 5408 40576 308864 2377216 18457088 144295936 1134209024 8952733696 70896263168 562816516096 4476410691584 35654557106176
loop(\(x,i).loop(\(x,i).(x * 2),i,x),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1),1)
A061591: 2 8 1024 2097152 36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,((loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + 1))
A074557: 3 18 126 972 7938 67068 578826 5065092 44732898 397517868 3547309626 31744033812 284606850258 2554928116668 22955161402026 206361331428132
loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),loop(\(x,i).(x * 2),x,1),1)
A037293: 1 2 6 70 12870 601080390 1832624140942590534 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (loop(\(x,i).(x * 2),(((x - 1) * x) div 2),1) * (loop(\(x,i).(x * 2),x,1) + 1)))
A188545: 1 3 10
A337949: 1 3 10 72 1088 33792 2129920 270532608 68987912192 35253091565568 36063981391052800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((x * 2) * 2),(i - 1),1) + x) + x),i,1) * x),(x + 1),1)
A203478: 3 30 1080 146880 77552640 161309491200 1331771159347200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (loop(\(x,i).(i * x),x,1) mod (x + 1)) <= 0 then loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) else 1)
A171435: 1 1 1 1 1 3 1 1 9 5 1 3 1 7 15 1
loop(\(x,i).(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,((x * 2) + 1)) - x),(x - 1),1)
A073627: 1 1 2 3 4 7 10 13 16 21 22 25 28 31 36 37
(x mod ((x div loop(\(x,i).((x + 2) * x),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)) + 1))
A332442: 0 1 0 3 0 0 6 1 0 0 10 3 0 0 0 15
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A001551: 4 10 30 100 354 1300 4890 18700 72354 282340 1108650 4373500 17312754 68711380 273234810 1088123500
((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,1)) - 1)
A147975: ~2 ~2 2 28 158 748 3302 14068 58718 241948 988502 4015108 16241678 65506348 263636102 1059360148
(loop(\(x,i).(((if x <= 0 then 2 else (x - (if x <= 0 then 1 else (x div (2 - (i mod 2)))))) + 2) * x),x,1) + 1)
A201363: 2 3 7
A006695: 2 3 7 13 97 193 18817 37633 708158977 1416317953 1002978273411373057 2005956546822746113 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),(x div 2),x) + 1),x,0) + 2) + 1)
A033556: 3 4 5 7 9 11 15 17 21 23 27 31 33 35 39 41
(if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2) else 1)
A010177: 10 1 1 2 1 1 20 1 1 2 1 1 20 1 1 2
(if (x mod 2) <= 0 then ((if (x mod (2 + 1)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * 2) else 1)
A040263: 16 1 2 1 2 1 32 1 2 1 2 1 32 1 2 1
(if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * 2) else 1)
A040258: 16 1 1 2 1 1 32 1 1 2 1 1 32 1 1 2
((loop(\(x,i).(x * 2),x,loop(\(x,i).(x div 2),x,loop(\(x,i).(((2 + 1) * x) + 1),x,1))) * 2) - 1)
A018886: 1 7 23 79 223 703 2175 6399 19455 58367 176127 528383 1589247 4767743 14319615 42991615
loop(\(x,i).(((x + 1) * x) div 2),1,((loop(\(x,i).loop(\(x,i).((x * x) - 1),x,2),x,1) * 2) + 1))
A276493: 6 28 8128 4611686018427387903
(((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0)) mod (x + 1)) div 2) + 1)
A228125-A227588-A172119-A092905-A052509: 1 1 1 1 2 1 1 3 2 1 1 4 4 2 1 1
loop(\(x,i).i,((loop(\(x,i).(x * 2),x,((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2)) mod (x + 1)) div 2),1)
A105540: 1 1 1 1 2 1 1 1 3 1 2 4 1 4 1 1
((if x <= 0 then 2 else (((loop(\(x,i).(i * x),x,x) mod (x + 1)) mod 2) + x)) + (if (x - 1) <= 0 then 2 else 1))
A113646: 4 4 4 4 6 6 8 8 9 10 12 12 14 14 15 16
(if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010142: 7 1 1 4 1 1 14 1 1 4 1 1 14 1 1 4
(((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1) * (if x <= 0 then 1 else 2)) + 1)
A020483: 2 3 3 5 3 3 5 3 3 5 3 7 5 3 3 7
(if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) + 2) * (if x <= 0 then 1 else 2)) else 1)
A010176: 10 1 1 6 1 1 20 1 1 6 1 1 20 1 1 6
((loop(\(x,i).(x * x),1,loop(\(x,i).loop(\(x,i).((i + x) + x),x,((i * i) * i)),x,1)) * 2) + 1)
A191623: 3 19 11251 4611686018427387903
(if x <= 0 then 2 else ((((loop(\(x,i).loop(\(x,i).((x * 2) + 1),x,2),(x - 1),1) + 2) + 2) * 2) + 1))
A067670: 2 11 19 199 4611686018427387903
(if loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) <= 0 then 1 else (x mod (((x - 1) mod (2 + 2)) + 1)))
A301342: 1 1 0 1 0 0 1 1 0 0 1 2 0 0 0 1
((if (x mod (2 + 1)) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * (if (x mod 2) <= 0 then (2 + 2) else 1))
A040151: 12 1 4 6 4 1 24 1 4 6 4 1 24 1 4 6
loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,(((x + 2) * 2) + 1))
A231935: 5 7 7 11 13 13 17 19 19 23 23 23 29 31 31 31
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x + 1) * 2),(x * 2),2)) - 1))
A020539: 1 362 15124 514088 16695376 536215712 17174626624 549713871488 17591850501376 562947269069312 18014377034650624 576460580504741888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x * 2),i,x) + x),x,1),x,0) + 1) + (((x * 2) * 2) + 1))
A092836: 2 7 13 149 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 2 else 0) + x),x,(((x * 2) * 2) + 1)))
A118753: 2 5 11 13 17 23 29 29 37 37 41 47 53 53 59 61
loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,((x + 1) * (2 + 1)))
A118749: 3 5 7 11 13 17 19 23 23 29 31 31 37 41 43 47
loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,((x * 2) * (2 + 1)))
A067775: 2 5 11 17 23 29 31 41 47 53 59 61 71 73 83 89
(loop(\(x,i).(((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1) * 2) + 1),2,x) div (2 + 1))
A225743: 1 1 2 1 2 1 1 2 1 3 1 2 1 3 1 1
(((if (x mod 2) <= 0 then x else 1) + (if x <= 0 then 0 else 1)) div ((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1))
A046094: 0 1 1 0 1 0 1 0 3 0 1 0 1 0 5 0
((loop(\(x,i).((x + 2) * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div (x + 2)) + 1)
A162319: 1 1 2 1 2 3 1 1 2 4 1 1 2 3 5 1
(if x <= 0 then 1 else (loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) * ((x * 2) - 1)))
A273325: 1 2 36 300 1960 11340 60984 312312 1544400 7438860 35103640 162954792 746347056 3380195000 15164074800 67476121200
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074536: 3 15 101 801 6833 60105 535601 4799481 43112513 387683145 3487834001 31385255961 282446317793 2541932945385 22877060906801 205892205869241
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2),1))
A185378: 1 3 6 15 28 62 120 255 496 1020 2016 4094 8128 16376
(x - ((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)) div 2) - 1))
A301853-A141419: 1 2 3 3 5 6 4 7 9 10 5 9 12 14 15 6
((compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),2,x),x) * 2) + 1)
A079699-A053176: 7 13 17 19 31 37 43 47 59 61 67 71 73 79 97 101
(loop(\(x,i).loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1,((x div ((2 + 2) + 1)) + x)) + 1)
A274080: 1 1 2 1 2 1 2 3 4 1 3 4 5 1 2 4
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,loop(\(x,i).(((x * 2) * 2) + 1),x,1))
A329006: 1 5 7 85 341 455 5461 21845 9709 349525 1398101 1864135 22369621 89478485 119304647 1431655765
loop(\(x,i).(x * 2),x,loop(\(x,i).((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) - 1)),x,1))
A016292: 1 16 188 2000 20496 206976 2077888 20811520 208246016 2082983936 20831935488 208327741440 2083310964736 20833243856896 208332975423488 2083331901685760
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((loop(\(x,i).((x + 1) * x),2,2) + 1) * x) + 1)),x,1)
A033977: 1 44 22 11 474 237 10192 5096 2548 1274 637 27392 13696 6848 3424 1712
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) - 1)) - loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A036239: 0 2 15 80 375 1652 7035 29360 120975 494252 2007555 8120840 32753175 131818052 529680075 2125927520
(if x <= 0 then (x div (2 + 1)) else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1)))
A108154: 0 3 7 13 0 31 43 0 73 0 0 0 157 0 211 241
(((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod ((if x <= 0 then 1 else x) + 1))
A063918: 1 0 0 2 0 2 0 2 3 2 0 2 0 2 3 2
loop(\(x,i).(((x * 2) * 2) - loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),i,1)),x,1)
A104970: 1 6 18 92 298 1444 4852 22840 78490 362580 1265564 5767688 20366596 91866984 327351336 1464522864
loop(\(x,i).loop(\(x,i).(x * 2),loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,i),1),x,1)
A258169: 1 2 16 32768 72057594037927936 4611686018427387903
(loop(\(x,i).((if x <= 0 then 1 else x) div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)),2,x) + 1)
A342257: 1 2 3 2 5 3 7 2 3 5 11 1 13 7 1 2
loop(\(x,i).((((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,2)) * x) div 2) + 1) div 2),x,1)
A083402: 1 3 42 2520 624960 629959680 2560156139520 41781748196966400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),x,1))
A016305: 1 16 180 1760 16016 139776 1188160 9925120 81920256 670478336 5454525440 44180398080 356708356096 2873257885696 23103609323520 185534152048640
loop(\(x,i).(0 - x),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) - ((x * 2) * 2)),x,1))
A249998: 1 0 13 12 169 312 2341 6084 34177 107184 517309 1803516 8011225 29653416 125788117 481629108
loop(\(x,i).(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),i,1) + ((x * 2) * 2)),x,1)
A091520: 1 2 14 36 214 604 3340 9928 52582 161708 831588 2620920 13187836 42350744 209519576 682960784
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A016269: 1 9 55 285 1351 6069 26335 111645 465751 1921029 7859215 31964205 129442951 522538389 2104469695 8460859965
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) - (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A249995: 1 5 27 121 539 2289 9619 39737 162987 663553 2690051 10865673 43783195 176086097 707220723 2837479129
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).((x * 2) * 2),x,1))
A074548: 3 13 61 307 1633 9043 51481 298507 1751713 10359523 61573801 367168507 2194090993 13129397203 78637382521 471273075307
(loop(\(x,i).(x * x),x,loop(\(x,i).(((x * 2) * 2) - 1),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))
A176947: 2 13 14657
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1) - loop(\(x,i).((x * 2) * 2),x,1))
A172060: 0 2 14 76 374 1748 7916 35096 153254 661636 2831300 12030632 50826684 213707336 894945944 3734901296
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))
A074551: 3 16 106 820 6898 60316 536266 4801540 43118818 387702316 3487892026 31385431060 282446845138 2541934531516 22877065673386 205892220185380
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) - loop(\(x,i).((x * 2) * 2),x,1))
A068554: ~1 ~2 ~4 ~4 24 236 1448 7640 37424 175436 798984 3565448 15672656 68098936 293196944 1253020976
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1))
A001803: 1 3 15 35 315 693 3003 6435 109395 230945 969969 2028117 16900975 35102025 145422675 300540195
loop(\(x,i).((loop(\(x,i).(x * x),1,loop(\(x,i).((((i * 2) - 1) * x) * 2),i,1)) * x) div 2),x,1)
A103207: 1 2 144 1036800 1463132160000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A019677: 1 24 400 5760 77056 989184 12390400 152862720 1867841536 22682271744 274333696000 3309180026880 39847582498816 479270434504704 5760041038643200 69190860134154240
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A017933: 1 18 225 2430 24381 234738 2205225 20404710 186995061 1703091258 15448694625 139763668590 1262226050541 11386154248578 102632111782425 924629361662070
(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)) * 2),x,0) + loop(\(x,i).(x * 2),x,1))
A027650: 1 8 46 230 1066 4718 20266 85310 354106 1455278 5938186 24104990 97478746 393095438 1581931306 6356390270
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((1 - x) * (x div 2)),1,loop(\(x,i).(x * 2),x,1)))
A094375: 1 4 15 55 201 739 2745 10315 39201 150499 582825 2273275 8918001 35144659 138992505 551203435
(loop(\(x,i).(x * 2),(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2),1) + loop(\(x,i).(x * 2),x,1))
A185376: 2 3 6 9 20 34 72 129 272 516 1056 2050 4160 8200 16512 32769
loop(\(x,i).(x * 2),(x - 2),(loop(\(x,i).(((2 + 1) * x) - 1),x,1) - loop(\(x,i).(x * 2),x,1)))
A016283: 0 0 1 12 100 720 4816 30912 193600 1194240 7296256 44301312 267904000 1615810560 9728413696 58504691712
loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(((2 + 1) * x) - 1),x,1) - loop(\(x,i).(x * 2),x,1)))
A084874: 0 0 9 162 2025 21870 219429 2112642 19847025 183642390 1682955549 15327821322 139038251625 1257873017310 11360034454869 102475388237202
(loop(\(x,i).(x div 2),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) mod loop(\(x,i).(x * 2),x,1))
A211995: 0 1 0 2 6 13 46 33 246 479 398 883 20 6215 9467 16751
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((x * 2) * (2 + 1)) - 1),x,2) - loop(\(x,i).(x * 2),x,1)))
A016294: 1 18 244 3048 37072 446880 5370688 64480896 773901568 9287342592 111450207232 1337410873344 16048964030464 192587702575104 2311052967755776 27732637760520192
loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).((x - 1) * (2 + 1)),x,2) - loop(\(x,i).(x * 2),x,1)))
A084879: 1 3 18 189 2106 22113 220158 2114829 19853586 183662073 1683014598 15327998469 139038783066 1257874611633 11360039237838 102475402586109
loop(\(x,i).loop(\(x,i).(((((if (2 - x) <= 0 then (x div 2) else 1) + x) + 1) div 2) + 1),i,(x * 2)),x,1)
A329510: 1 3 6 8 8 7 6 6 6 6 6 6 6 6 6 6
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))
A037967: 1 3 21 210 2485 31878 427350 5891028 82824885 1181976510 17067482146 248817506028 3656231188246 54086245380300 804670817838300 12030722583033960
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))
A068551: 0 2 10 44 186 772 3172 12952 52666 213524 863820 3488872 14073060 56708264 228318856 918624304
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))
A001790: 1 1 3 5 35 63 231 429 6435 12155 46189 88179 676039 1300075 5014575 9694845
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),x,1)) div (x + 1))
A151392-A000888: 1 2 12 100 980 10584 121968 1472328 18404100 236390440 3103161776 41469525552 562496897872 7726605740000 107289439704000 1503840313184400
((if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))) * (x + 1))
A053024: 2 4 9 20 25 42 49 88 99 110 121 156 169 238 255 272
compr(\x.(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x,(x - 1))),(x + 1))
A067019: 3 5 7 11 13 17 19 23 27 29 31 37 41 43 45 47
loop(\(x,i).(if (x mod (2 + 2)) <= 0 then 2 else (x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))),2,(x + 1))
A216913: 1 2 1 2 5 2 7 2 1 10 11 2 13 14 5 2
(loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,loop(\(x,i).(i * x),(x + 2),2)) div (x + 1))
A118063: 16777216 4458050224128 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2)) div (x + 1))
A267987: 4 8 48 400 3920 42336 487872 5889312 73616400 945561760 12412647104 165878102208 2249987591488 30906422960000 429157758816000 6015361252737600
(loop(\(x,i).(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),i) + x),x,2) mod (x + 1))
A194741: 0 0 0 3 2 1 0 6 4 2 0 9 6 3 14 10
loop(\(x,i).((if x <= 0 then 1 else ((if (2 - i) <= 0 then x else 1) + (x * 2))) + ((x * 2) * 2)),x,(x + 1))
A081042: 1 13 133 1225 10633 88837 722701 5764801 45294865 351652861 2703691669 20620693177 156208812697 1176509412085 8816899947037 65787638066353
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(if (x - 2) <= 0 then x else (x + 1)))
A106119: 3 5 7 13 17 19 23 29 31 37 41 43 47 53 59 61
(loop(\(x,i).(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),x) + i),2,x) mod (x + 1))
A076237: 0 0 0 0 3 3 3 1 8 8 10 9 8 8 8 7
(loop(\(x,i).(x - (if (if (((x div 2) + x) mod (2 + 2)) <= 0 then x else 0) <= 0 then 1 else 0)),x,x) + (x + 1))
A118374: 1 2 3 7 8 9 10 11 17 18 19 23 24 25 26 27
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((if (2 - i) <= 0 then x else 1) * 2) + x),x,(x + 1)))
A086443: 0 0 1 10 67 376 1909 9094 41479 183412 792697 3367618 14120011 58605808 241331965 987648382
((if x <= 0 then 0 else (loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).(x * x),(x - 1),2)) div 2)) * (x - 1))
A087084: 0 0 2 32 1536 1048576 171798691840 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else 2) mod ((x + 2) div (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 0)),x,x) + 1)))
A089798: 1 0 ~2 0 0 0 0 0 2 0 0 0 0 0 0 0
loop(\(x,i).((((x * 2) * 2) * 2) div (2 + 1)),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)
A144224: 1 1 2 1 2 5 1 2 5 13 1 2 5 13 34 1
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(((if (i mod 2) <= 0 then (2 + 2) else 0) - 1) * x),x,1))
A318610: 0 4 12 24 72 252 756 2160 6480 19764 59292 176904 530712 1595052 4785156 14346720
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A074532: 3 11 45 197 897 4181 19785 94637 456417 2215781 10815225 53024477 260921937 1287820181 6371967465 31591352717
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1))
A074550: 3 15 89 603 4433 34035 266969 2115723 16849313 134499555 1074849449 8594306043 68736785393 549824517075 4398319729529 35185460179563
(loop(\(x,i).(((x * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1))
A074530: 3 13 77 547 4193 33043 262937 2099467 16784033 134237923 1073801897 8590113787 68720012273 549757416403 4398051310457 35184386470507
loop(\(x,i).(x * 2),((x * 2) - loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x)),1)
A120781: 1 8 32 512 2048 16384 65536 2097152 8388608 67108864 268435456 4294967296 17179869184 137438953472 549755813888 35184372088832
loop(\(x,i).(x * 2),((x mod 2) - loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x)),1)
A240988: 1 4 2 16 8 32 16 256 128 512 256 2048 1024 4096 2048 65536
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((x * 2) * 2) * (2 + 1)),i,1)) * x),x,1)
A028674: 1 132 2718144 8111637540864 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i),1) + x),x,1)
A080355: 1 3 7 23 87 1111 5207 70743 332887 4527191 272962647 1346704471 70066181207 1169577808983 5567624320087 75936368497751
loop(\(x,i).loop(\(x,i).(i * x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1),x),x,1)
A111180: 1 2 12 1440 7257600 289700167680000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),i,1) + x),x,1)
A036256: 1 2 4 7 13 23 43 78 148 274 526 988 1912 3628 7060 13495
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) * x),x,1)
A269661: 1 9 549 202581 425622681 4907003889249 302963327126122509 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1)) * x),x,1)
A028672: 1 90 891000 890109000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1)) * x),x,1)
A028669: 1 42 98784 11587955904 66774437101209600 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((((i * i) * i) * (i * i)) + x),(i + 1),x),i,1) + x),x,1)
A101099: 1 35 345 1955 7990 26226 73470 182490 412335 863005 1695551 3158805 5624060 9629140 15933420 25585476
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,(i + 1)) + x),i,1) + x),x,1)
A272525: 1 22 343 4664 58985 713306 8367627 96021948 1083676269 12071330590 133058984911 1454046639232 15775034293553 170096021947874 1824417009602195 19478737997256516
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),i,1)) + x),x,1)
A086020: 1 17 117 517 1742 4878 11934 26334 53559 101959 183755 316251 523276 836876 1299276 1965132
loop(\(x,i).(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i),2) + x),x,1)
A320877: 1 5 13 45 173 2221 10413 141485 665773 9054381 545925293 2693408941 140132362413 2339155617965 11135248640173 151872736995501
loop(\(x,i).((i + x) + 1),compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),1)
A061066: 1 3 6 15 21 36 45 66 105 120 171 210 231 276 351 435
loop(\(x,i).((i + 1) * x),compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),1)
A212158: 1 2 6 120 720 40320 362880 39916800 87178291200 1307674368000 6402373705728000 2432902008176640000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((x + 1) * x) div 2) + 2),2,x) div (2 + 1)),1,i) + x),x,1)
A027928: 1 3 8 20 46 97 189 344 591 967 1518 2300 3380 4837 6763 9264
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A173000: 1 45 1215 25515 459270 7440174 111602610 1578379770 21308126895 277005649635 3490271185401 42835146366285 514021756395420 6049640671423020 70002984912180660 798034027998859524
loop(\(x,i).(((i + 2) + 2) * x),x,loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A001811: 1 25 450 7350 117600 1905120 31752000 548856000 9879408000 185513328000 3636061228800 74373979680000 1586644899840000 35272336619520000 816302647480320000 4611686018427387903
loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),i,x),x,1)
A079264: 1 2 12 360 75600 174636000 5244319080000 2677277333530800000 4611686018427387903
A006939: 1 2 12 360 75600 174636000 5244319080000 2677277333530800000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x mod 2) <= 0 then (loop(\(x,i).(((x * 2) + 1) * (x + 1)),2,1) * (if x <= 0 then 1 else 2)) else 0) + 2)
A283897: 93 2 184 2 184 2 184 2 184 2 184 2 184 2 184 2
(loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,loop(\(x,i).((x * 2) + 1),x,0)) - 2)
A098939: ~2 ~1 177145 1977326741 8649755859373 25408476896404829 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (loop(\(x,i).(((loop(\(x,i).((i * x) + 1),(i - 1),1) + 1) - x) - 1),x,0) * 2))
A054093: 1 2 2 8 24 106 546 3368 24032 195170 1777650 17950552 199059672 2405063018 31448531954 442501797656
(loop(\(x,i).((if x <= 0 then 1 else (x - ((if (x mod 2) <= 0 then (1 - x) else x) div (i + 1)))) + x),x,0) + 2)
A341823: 2 3 4 7 11 19 34 70
(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + ((i - 1) * x)),i,1) + x) + x),x,0) div 2)
A346394: 0 1 5 20 78 324 1520 8336 53872 405600 3492416 33798016 362543104 4264455168 54540715008 753246711808
(loop(\(x,i).(x * 2),(x * x),(loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),x,2) - 1)) + 1)) div 2)
A162677: 1 10 400 57856 31522816 66605547520 554222579875840 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) + 1),x,(if (x mod 2) <= 0 then (((if (x - 2) <= 0 then 1 else x) mod 2) + 2) else 1)) div 2)
A289099-A286826: 1 1 7 7 23 31 95 127 383 511 1535 2047 6143 8191 24575 32767
loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * x),1,loop(\(x,i).((x + 1) * 2),(x * 2),2)) - 1) * 2))
A020542: 6 780 30744 1032240 33423456 1072693440 34351350144 1099444519680 35183835219456 1125895611878400 36028762659231744 1152921229728952320 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((loop(\(x,i).(x * 2),x,loop(\(x,i).((x * 2) + 1),x,2)) - 1) div (2 + 1)) * 2))
A267689: 1 6 28 122 500 2026 8148 32682 130900 523946 2096468 8387242 33551700 134212266 536859988 2147461802
(if x <= 0 then 2 else ((loop(\(x,i).(x * 2),x,loop(\(x,i).((1 - x) * (2 + 1)),x,1)) mod (x + 1)) div 2))
A323913: 2 0 0 0 0 0 0 0 1 0 0 0 0 0 6 0
loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),(x - 2),(if x <= 0 then 1 else 2))
A182027: 1 2 2 2 4 6 12 20 40 70 140 252 504 924 1848 3432
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,(if x <= 0 then 1 else 2))
A097250: 1 4 12 60 420 4620 60060 1021020 19399380 446185740 12939386460 401120980260 14841476269620 608500527054420 26165522663340060 1229779565176982820
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,(if x <= 0 then 1 else 2))
A231209: 1 6 30 210 2310 30030 510510 9699690 223092870 6469693230 200560490130 7420738134810 304250263527210 13082761331670030 614889782588491410 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A053154: 0 1 5 22 95 406 1715 7162 29615 121486 495275 2009602 8124935 32761366 131834435 529712842
(loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).((x * x) * x),1,((i * 2) + 1))) + x),x,1) * 2)
A259323: 2 1460 32710 268008 1330890 4874012 14527630 37308880 85584018 179675780 351208022 647279800 1135561050 1910402028 3100048670 4875056032
(if x <= 0 then 1 else (((loop(\(x,i).(x * x),1,loop(\(x,i).((x - 2) * 2),x,1)) div (2 + 1)) + 2) + 2))
A272706: 1 5 25 137 649 2825 11785 48137 194569 782345 3137545 12566537 50298889 201261065 805175305 3220963337
((if x <= 0 then 2 else ((loop(\(x,i).(x * 2),x,(if (x mod 2) <= 0 then (2 + 1) else x)) mod (x + 1)) div 2)) div 2)
A086780: 1 0 0 0 0 1 0 0 0 2 0 1 0 3 3 0
(((x - loop(\(x,i).(x - (if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) div 2) else 1)),x,(x + 1))) + 2) + 2)
A287127: 3 4 5 7 8 10 11 14 15 17 18 21 22 24 25 29
((loop(\(x,i).(x * x),1,(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))) * 2) * 2)
A174426: 4 36 36 144 144 144 400 400 400 400 900 900 900 900 900 1764
(((loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) div 2) div 2) + 2)
A127439: 2 2 1 2 1 2 2 1 2 2 2 1 2 2 4 2
((2 - (loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) + 2)) div 2)) div 2)
A220962: 0 1 0 1 1 0 1 1 1 0 0 1 1 1 0 ~1
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) - 1)) + loop(\(x,i).((2 + 1) * x),x,(2 + 2)))
A147535: 5 18 64 228 820 2988 11044 41388 157060 602508 2332324 9095148 35676100 140586828 555986404 2204846508
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) div loop(\(x,i).(x * 2),(x + 2),2))
A024506: 0 0 0 0 0 0 1 3 6 11 22 43 82 158 306 591
loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,(((2 + 1) * x) + 2))
A020581: 2 5 7 11 13 17
A081259: 2 5 7 11 13 17 19 23 23 29 31 31 37 41 43 47
(if x <= 0 then 1 else (((loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1) + x) * 2))
A315170: 1 6 10 14 18 22 26 30 34 38 42 48 54 58 62 66
(loop(\(x,i).(loop(\(x,i).((if (x - 2) <= 0 then 1 else x) + x),i,1) * x),x,1) * (((x + 1) * x) div 2))
A279045: 0 2 18 216 4320 155520 10450944 1337720832 330225942528 158508452413440 148786600665415680 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + (x * 2)) * 2),x,2)
A038721: 2 18 110 570 2702 12138 52670 223290 931502 3842058 15718430 63928410 258885902 1045076778 4208939390 16921719930
loop(\(x,i).loop(\(x,i).(i * x),x,x),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2))
A114574: 4 18 600 35280 439084800 80951270400 6046686277632000 2311256907767808000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A100042: 8 24 160 896 22528 106496 2228224 9961472 192937984 15569256448 66571993088 5085241278464 90159953477632 378231999954944 6614661952700416 477381560501272576
(loop(\(x,i).(x * 2),x,2) div (loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod loop(\(x,i).(x * 2),x,2)))
A071353: 2 4 2 16 1 2 11 1 2 1 2 1 1 1 1 1
loop(\(x,i).((loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1) * (x + 1)),1,(x + 2))
A013637: 6 12 15 30 35 56 63 70 77 132 143 182 195 208 221 306
((loop(\(x,i).((x + 1) * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) + 1) div (x + 2))
A079126: 1 0 1 0 0 1 0 0 1 2 0 0 0 1 2 0
((if x <= 0 then 0 else (loop(\(x,i).((if (x mod (i + 2)) <= 0 then x else 0) + x),x,(2 + 1)) + x)) + (x + 2))
A079252: 2 10 12 14 22 24 26 28 30 32 46 48 50 52 54 56
compr(\x.(if x <= 0 then 1 else loop(\(x,i).(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then x else (x div 2)),x,x)),(x * 2))
A097911: 1 3 5 8
A073608: 1 3 5 8 10 12
A305378: 1 3 5 8 10 12 16 18 20 22 25 27 33 35 37 40
((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * 2) else 1) + (x mod 2))
A010124: 4 2 1 3 1 2 8 2 1 3 1 2 8 2 1 3
(x - (loop(\(x,i).(((x + 2) + 1) * x),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) div 2))
A049780: 0 1 0 3 2 0 6 5 3 0 10 9 7 4 0 15
((loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))),2,x) + x) div 2)
A066182: 1 3 2 6 4 5 10 7 8 9 15 11 12 13 14 21
(if x <= 0 then 1 else (((if x <= 0 then 0 else (if (x - 1) <= 0 then 1 else (((2 - (x mod 2)) + 2) * x))) + x) * 2))
A298040: 1 4 20 24 40 40 60 56 80 72 100 88 120 104 140 120
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),i,2) + x),i,2) + x),x,2)
A120278: 2 10 38 136 486 1760 6466 24042 90238 341190 1297574 4958114 19019254 73196994 282492254 1092867904
((if x <= 0 then 1 else ((loop(\(x,i).(x * 2),(x - 1),1) - (if (x mod 2) <= 0 then 1 else x)) div (2 + 1))) + x)
A057574: 1 1 2 3 6 8 16 26 50
(loop(\(x,i).((loop(\(x,i).(((x + 1) div 2) * (x + 1)),i,(if x <= 0 then 1 else 2)) * x) + 1),x,1) - x)
A319253: 1 3 31 1186
loop(\(x,i).(x * x),1,compr(\x.(loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x) + 1),x))
A087691: 9 49 121 361 529 961 1849 2209 3481 4489 5041 6241 6889 10609 11449 16129
compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,(x + 1))),x)
A152843: 0 1 4 10 13 19 25 40 43 55 64 85 88 94 115 118
compr(\x.(1 - loop(\(x,i).loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),2,(x + 1))),x)
A105610: 0 2 8 14 17 38 47 68 77 98 104 113 134 152 164 167
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) - 2)),x,x) - 1),x,x) + x),1,((x + 1) * x))
A050493: 0 1 2 2 2 4 3 3 2 4 5 2 4 5 4 4
((if x <= 0 then 1 else ((loop(\(x,i).(if x <= 0 then 1 else (((i * 2) * (i + 1)) + x)),x,0) + 1) * 2)) + x)
A273480: 1 5 30 79 160 281 450 675 964 1325 1766 2295 2920 3649 4490 5451
(((if x <= 0 then 1 else ((loop(\(x,i).(if x <= 0 then (2 + 1) else ((x * x) - 1)),x,1) + 2) + 2)) + 2) + x)
A020590: 3 7 11 17 73
loop(\(x,i).(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1),1,((x div ((2 + 2) * 2)) + x))
A126260: 1 1 2 1 2 3 1 2 4 1 2 3 4 5 1 2
loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)),1,(loop(\(x,i).(x * x),2,(2 + 2)) + x))
A276233: 257 129 259 65 261 131 263 33 265 133 267 67 269 135 271 17
loop(\(x,i).(0 - loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x)),1,((x + 2) * x))
A091711: 0 3 7 15 22 34 46 63 78 97 116 142 165 193 221 255
(if x <= 0 then 1 else (((((loop(\(x,i).loop(\(x,i).(x * x),x,2),(x - 2),1) div 2) div 2) + 1) * x) * x))
A069874: 1 1 4 18 262160
compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),1,((x + 1) * x)),x)
A012132: 3 6 8 10 11 13 15 16 18 20 21 23 26 27 28 31
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))),x,x)
A089312: 0 1 1 3 1 1 3 7 1 1 1 3 3 1 7 15
loop(\(x,i).(((x * 2) * 2) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)),x,x)
A153338: 0 2 18 116 650 3372 16660 79592 371034 1697660 7654460 34106712 150499908 658707896 2863150440 12371226064
(if x <= 0 then 2 else (((loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).((i * x) * 2),x,2)) * 2) + x) * x))
A272663: 2 9 68 1161
loop(\(x,i).(x * x),1,compr(\x.(2 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x))
A080109: 25 169 289 841 1369 1681 2809 3721 5329 7921 9409 10201 11881 12769 18769 22201
loop(\(x,i).(x * x),2,compr(\x.(2 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x))
A080175: 625 28561 83521 707281 1874161 2825761 7890481 13845841 28398241 62742241 88529281 104060401 141158161 163047361 352275361 492884401
(if (x - 2) <= 0 then ((x + 1) mod 2) else (if (x mod ((2 + 1) * 2)) <= 0 then ((x div (2 + 2)) + 1) else 0))
A325787: 1 0 1 0 0 0 2 0 0 0 0 0 4 0 0 0
(if x <= 0 then 1 else (if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x + 2) div (2 + 1)) else 0))
A174712-A127647: 1 0 1 0 0 2 0 0 0 3 0 0 0 0 5 0
loop(\(x,i).(((if ((i mod (2 + 1)) - 1) <= 0 then 2 else 1) + x) + (((x * 2) * 2) * 2)),(x + 1),0)
A037574: 2 19 173 1559 14032 126290 1136612 10229509 92065583 828590249 7457312242 67115810180 604042291622 5436380624599 48927425621393 440346830592539
(if x <= 0 then 1 else (if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then (2 - (x div (0 - 2))) else 0))
A127775: 1 0 3 0 0 5 0 0 0 7 0 0 0 0 9 0
(1 - (if x <= 0 then 1 else (if ((x + 1) mod ((((0 - x) * 2) mod ((2 + 2) + 1)) + 1)) <= 0 then 2 else 0)))
A011586: 0 1 1 1 1 ~1 1 ~1 1 1 ~1 ~1 1 1 ~1 ~1
(1 - (if x <= 0 then 1 else (if (x mod (((2 - (((x div (2 + 1)) mod 2) - 1)) * 2) + 1)) <= 0 then 2 else 0)))
A165574: 0 1 1 1 1 ~1 1 ~1 1 1 ~1 1 1 1 ~1 ~1
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0) + (if (x - 1) <= 0 then ((x + 1) * 2) else 0))
A069506: 2 5 11 111 1111 11111 111111 1111111 11111111 111111111 1111111111 11111111111 111111111111 1111111111111 11111111111111 111111111111111
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x div (2 + 2)) + (if x <= 0 then 1 else 2)) else 0)
A127648: 1 0 2 0 0 3 0 0 0 4 0 0 0 0 5 0
(if x <= 0 then 1 else (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + (if (x mod 2) <= 0 then 2 else 0)))
A068067: 1 0 2 0 2 1 2 0 2 1 2 1 2 1 4 0
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),0))
A155669: 1 18 180 1728 16560 159048 1531440 14782968 143046720 1387420488 13486784400 131381059608 1282429536480 12541865828328 122876792454960 1205891132094648
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),0))
A155671: 1 2 20 272 3440 40952 468560 5217032 56953280 612579512 6513215600 68618940392 717570463520 7458134171672 77123207545040 794108867905352
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),0))
A155656: 1 15 129 1071 8961 75855 649089 5606511 48811521 427774095 3769259649 33358386351 296270823681 2638754838735 23555015527809 210638693604591
loop(\(x,i).(x * x),1,loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1)) + 1),x,0))
A260860: 0 1 3721 13402921 48250954921 173703464074921 625332472251274921 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0))
A163663: 0 100 11000 1110000 111100000 11111000000 1111110000000 111111100000000 11111111000000000 1111111110000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155625: 1 14 136 1394 14896 162074 1775656 19503554 214424416 2358209834 25938473176 285315864914 3138445153936 34522779252794 379750102018696 4177249243157474
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155623: 1 13 129 1357 14721 161293 1772289 19489357 214365441 2357967373 25937483649 285311847757 3138428908161 34522713738253 379749838366209 4177248183764557
loop(\(x,i).((2 + 1) * x),(x - 1),loop(\(x,i).(x - ((((x mod 2) - (x * 2)) * 2) - 1)),x,0))
A239294: 0 1 12 189 2808 42201 632772 9492309 142382448 2135743281 32036129532 480542002029 7208129853288 108121948330761 1621829223367092 24327438355289349
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155645: 1 12 84 558 3696 24582 164304 1103478 7444416 50431302 342941424 2340123798 16018069536 109949704422 756587236944 5217746494518
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155655: 1 14 112 854 6496 49574 379792 2920694 22542016 174571334 1356217072 10567261334 82560763936 646644824294 5076269583952 39931933598774
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155634: 1 11 73 467 3025 19931 133273 901667 6155425 42306731 292240873 2026154867 14085427825 98109713531 684326588473 4778079088067
loop(\(x,i).(((x * x) * 2) * (2 + 1)),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0))
A271528: 0 6 726 73926 7405926 740725926 74073925926 7407405925926 740740725925926 74074073925925926 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x + 1) * x) div 2) + 1),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,0))
A202606: 1 2 67 6217 617717 61732717 6172882717 617284382717 61728399382717 6172839549382717 617283951049382717 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1) + loop(\(x,i).((x * 2) + 1),x,0))
A172411: 1 2 5 10
A261681: 1 2 5 10 21 41 83 162 325 637 1275 2509 5019 9907 19815 39202
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) + loop(\(x,i).((x * 2) + 1),x,0))
A132807: 1 2 5 12 29 73 195 556 1685 5373
(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),x,0) - loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A341590: 0 0 4 44 360 2680 19244 136164 957520 6715760 47049684 329465884 2306615480 16147371240 113034787324 791253077204
(loop(\(x,i).(2 - (x - (((x * 2) * 2) * 2))),x,0) - loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A109020: 0 1 12 101 760 5481 38852 273421 1918320 13441361 94128892 659020341 4613496680 32295539641 226071966132 1582513328861
(loop(\(x,i).((((x * 2) + 1) * (2 + 1)) + x),x,1) - loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A165147: 1 9 69 501 3561 25089 176109 1234221 8643921 60520569 423683349 2965901541 20761665081 145332718449 1017332217789 7121335090461
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,0))
A155640: 1 3 25 219 1777 13683 102025 745419 5374177 38400483 272709625 1928498619 13597146577 95668307283 672119557225 4717043931819
(loop(\(x,i).(((2 + 1) * x) + 1),(x * 2),1) - loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,0))
A165149: 1 11 109 1031 9529 87011 789349 7135391 64374769 580154171 5225293789 47047175351 423522234409 3812188390931 34312136924629 308821439352911
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A155624: 1 9 113 1305 14561 160809 1770833 19484985 214352321 2357928009 25937365553 285311493465 3138427845281 34522710549609 379749828800273 4177248155066745
loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) * (2 + 1)),(i - 1),1) + (x * 2)),x,0)
A180844: 0 1 29 787 21257 573955 15496817 418414123 11297181449 305023899379 8235645283745 222362422662139 6003785411879801 162102206120758723 4376759565260493713 4611686018427387903
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,0))
A155660: 1 3 33 387 4161 42243 413793 3959427 37281921 347066883 3204309153 29403732867 268588249281 2444976817923 22198569382113 201143570584707
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,0))
A155659: 1 2 16 170 1696 15962 144496 1273610 11012416 93864122 791266576 6612607850 54878189536 452866803482 3719823438256 30436810578890
loop(\(x,i).(loop(\(x,i).(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1,i) + x),x,0)
A000788: 0 1 2 4 5 7 9 12 13 15 17 20 22 25 28 32
loop(\(x,i).(loop(\(x,i).(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),1,i) + x),x,0)
A122247: 0 1 4 8 15 23 33 44 59 75 93 112 134 157 182 208
((if x <= 0 then 1 else (if ((x + 1) mod ((((1 - x) mod ((2 + 2) + 1)) * 2) + 1)) <= 0 then 2 else 0)) - 1)
A011624: 0 1 ~1 ~1 1 1 1 ~1 ~1 1 ~1 1 ~1 1 1 ~1
((if x <= 0 then 1 else 2) - ((if (2 - (x mod (((x * x) mod ((x + 2) + 2)) + 1))) <= 0 then 2 else 0) + 1))
A011626-A011600-A011589: 0 1 ~1 1 1 ~1 ~1 1 ~1 1 1 1 1 ~1 ~1 ~1
((if x <= 0 then 1 else (if (x mod (((((2 + 2) * (2 + 1)) + 1) mod (x + 1)) + 2)) <= 0 then 2 else 0)) + 1)
A080209: 2 1 1 3 1 1 1 3 1 1 1 1 3 1 1 3
((2 + 1) mod ((if (((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) mod (2 + 2)) <= 0 then x else 0) - 1))
A285014: 0 0 0 1 0 0 0 3 0 0 0 3 0 0 3 0
(loop(\(x,i).(if x <= 0 then ((i div 2) - 1) else (((((i * 2) + 1) * x) * 2) div (i + 2))),x,0) + 1)
A001647: 1 0 1 1 2 4 10 31
((((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1) div 2) + (if x <= 0 then 0 else 1))
A267116-A136565: 0 1 1 2 1 1 1 3 2 1 1 3 1 1 1 4
(((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else 2) - (x mod 2)) - (if x <= 0 then 0 else 1))
A102565: 0 0 1 ~2 1 ~2 ~1 0 1 ~2 ~1 0 ~1 0 1 ~2
(if (x mod 2) <= 0 then ((if (x mod ((2 + 2) + 1)) <= 0 then 0 else ((x div ((2 + 2) + 1)) + 1)) + 1) else 1)
A137163: 1 1 2 1 2 1 3 1 3 1 1 1 4 1 4 1
((if (x mod (2 + 2)) <= 0 then (loop(\(x,i).(x * 2),x,2) mod ((((2 + 2) * 2) * 2) + 1)) else 1) - 1)
A002337: 1 0 0 0 14 0 0 0 1
((x mod (((loop(\(x,i).(x * 2),x,loop(\(x,i).((i * x) + 2),x,2)) - 1) mod (x + 1)) + 1)) + 1)
A072436: 1 2 1 4 5 2 1 8 1 10 1 4 13 2 5 16
loop(\(x,i).((x * x) div (2 + 1)),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1))
A178631: 27 3267 332667 33326667 3333266667 333332666667 33333326666667 3333333266666667 333333332666666667 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 2) * x),(x + 1),1) + 1)
A071555: 6 36 386 5006 85086 1616616 37182146 1078282206 33426748356 1236789689136 50708377254536 2180460221945006 102481630431415236 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),i) + 2) * x),(x + 1),1) + 1)
A071556: 8 78 1002 17018 323324 7436430 215656442 6685349672 247357937828 10141675450908 436092044389002 20496326086283048 1086305282573001492 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 0 else (if ((x mod ((2 + 2) + 1)) mod ((((x div 2) mod 2) + 2) + 1)) <= 0 then 2 else 1)) + 1)
A234092: 1 2 2 2 2 3 2 2 3 2 3 2 2 3 3 3
(if (x mod ((2 + 2) + 1)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else 1)
A040789: 28 1 1 1 1 56 1 1 1 1 56 1 1 1 1 56
(loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,2) mod ((if (2 - x) <= 0 then ((2 + 1) * 2) else 1) + 1))
A021160: 0 0 6 4 1 0 2 5 6 4 1 0 2 5 6 4
(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x + 1) * 2),1)) + 1)
A187868: 9901 99990001 999999000001 9999999900000001
A145381: 9901 99990001 999999000001 9999999900000001 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(0 - (x div (loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)) * 2))),1) + 1)
A260218: 2 3 2 5 2 3 2 17 2 3 2 5 2 3 2 257
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((((x + 1) div 2) div 2) + 2) + 1)) + 1)
A209297: 1 1 4 1 5 9 1 6 11 16 1 7 13 19 25 1
(if x <= 0 then 2 else (loop(\(x,i).((x div (((2 + 2) * 2) + 1)) + x),x,(((2 + 2) * 2) + 1)) + 1))
A108199: 2 11 12 13 14 15 16 17 18 19 21 23 25 27 29 32
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017350: 60466176 1099511627776 141167095653376 3656158440062976 42420747482776576 303305489096114176 1568336880910795776 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017352: 2176782336 281474976710656 95428956661682176 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(if (x mod (((i mod 2) + 2) + 1)) <= 0 then 1 else x),x,(x + 1)) div ((2 + 2) + 1)) + 1)
A075119: 1 1 1 1 2 1 2 1 1 3 3 1 3 3 1 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017386: 3486784401 6131066257801 420707233300201 8140406085191601 79792266297612001 511116753300641401 2446194060654759801 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017388: 282429536481 2213314919066161 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (((2 + 1) * 2) + 1)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * ((2 + 2) + 1)) else 1)
A040404: 20 1 1 1 1 1 1 40 1 1 1 1 1 1 40 1
(if x <= 0 then 1 else ((loop(\(x,i).((x - ((2 - x) * (2 + 2))) * 2),x,2) * ((2 + 2) + 1)) + 1))
A179956: 1 21 121 1121 11121 111121 1111121 11111121 111111121 1111111121 11111111121 111111111121 1111111111121 11111111111121 111111111111121 1111111111111121
(((x - (if x <= 0 then 2 else (if (((2 + 1) * 2) mod ((x div 2) + 1)) <= 0 then 1 else 0))) mod (2 + 1)) + 1)
A091412: 2 1 2 3 1 2 1 2 3 1 1 2 1 2 3 1
((loop(\(x,i).(x * 2),x,(2 - loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,0))) div (2 + 1)) + 1)
A256493: 1 3 19 171 1675 16683 166699 1666731 16666795 166666923 1666667179 16666667691 166666668715 1666666670763 16666666674859 166666666683051
(x mod ((x div ((if (x mod 2) <= 0 then 2 else ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) * (2 + 1))) + 1))
A229964: 0 0 0 0 0 1 0 1 0 1 0 3 0 3 2 1
(if x <= 0 then 0 else (((loop(\(x,i).(x div (2 - (x mod 2))),x,((x + 1) div 2)) + 1) div (2 + 1)) + 1))
A295515: 0 1 1 1 1 2 2 1 1 3 3 2 2 3 3 1
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * (2 + 1)) + 1)
A177019: 7 331 30301 3003001 300030001 30000300001 3000003000001 300000030000001 30000000300000001 3000000003000000001 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) div (2 + 1)) + 1)
A074992: 1 37 3367 333667 33336667 3333366667 333333666667 33333336666667 3333333366666667 333333333666666667 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 0 else (2 - ((x mod 2) - ((loop(\(x,i).(i * x),x,1) mod (x + 1)) div (2 + 1))))) + 1)
A305437: 1 2 3 2 4 2 5 2 3 2 6 2 7 2 3 2
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017662: 25937424601 41426511213649 2758547353515625 52599132235830049 511116753300641401 3255243551009881201 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017664: 3138428376721 21914624432020321 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),(x + 1)) * (2 + 1)) - 1)
A089118: 2 8 11 26 29 35 38 80 83 89 92 107 110 116 119 242
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017614: 282475249 6131066257801 819628286980801 21611482313284249 253295162119140625 1822837804551761449 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017616: 13841287201 2213314919066161 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017590: 9765625 2015993900449 420707233300201 13422659310152401 174887470365513049 1346274334462890625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017592: 244140625 582622237229761 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x - 1) * (2 + 1)),x,2) * (loop(\(x,i).(x * 2),x,1) + 2)) div (2 + 1)) - 1)
A246985: 1 3 11 49 251 1393 8051 47449 282251 1686433 10097891 60526249 362976251 2177317873 13062296531 78368963449
((((loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then 0 else 1)) mod (x + 1)) * 2) div (2 + 1)) + 1)
A330742: 1 1 1 1 1 2 1 1 1 2 1 6 1 2 3 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016979: 48828125 285311670611 34271896307633 952809757913927 12200509765705829 96549157373046875 550329031716248441 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod 2) <= 0 then ((((((2 - x) mod (2 + 2)) * 2) + 1) * (if x <= 0 then 1 else 2)) * (2 + 1)) else 1)
A040236: 15 1 6 1 30 1 6 1 30 1 6 1 30 1 6 1
(loop(\(x,i).((2 + 1) * x),x,1) mod ((loop(\(x,i).(((x + 1) * x) + 2),2,2) * (2 + 1)) + 1))
A036160: 1 3 9 27 81 20 60 180 94 59 177 85 32 96 65 195
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017543: 1 1792160394037 2384185791015625 177917621779460413 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) * 2) * (2 + 1)) + 1)))
A017410: 1 61917364224 41426511213649 2064377754059776 34050628916015625 303305489096114176 1822837804551761449 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) * 2) * (2 + 1)) + 1)))
A017412: 1 8916100448256 21914624432020321 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,2)) * (2 + 1)) + 1)
A220990: 19 1801 249697 35842177 5159904769 743009863681 106993223294977 15407021789577217 2218611109320327169 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,2)) * (2 + 1)) + 1)
A220989: 7 1657 247969 35821441 5159655937 743006877697 106993187463169 15407021359595521 2218611104160546817 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017254: 282475249 1099511627776 95367431640625 2064377754059776 21611482313284249 144555105949057024 713342911662882601 2824752490000000000 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017256: 13841287201 281474976710656 59604644775390625 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017230: 9765625 289254654976 41426511213649 1125899906842624 13422659310152401 97656250000000000 511116753300641401 2113922820157210624 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017232: 244140625 56693912375296 21914624432020321 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2) * (2 + 1)) - 1))
A181719: 25 1225 112225 11122225 1111222225 111112222225 11111122222225 1111111222222225 111111112222222225 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((x * 2) * (2 + 1)) + 1))
A031387: 5 23 47 73 103 137 167 197 233 269 307 347 379 419 449 487
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017183: 1 100000000000 116490258898219 8293509467471872 177917621779460413 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * (2 + 1)) + 1)
A059139: 4 7 4 10 4 7 4 13 4 7 4 10 4 7 4 16
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) * (2 + 1)) - 1)
A190105: 2 5 8 14 17 23 32 35 44 50 53 59 62 77 80 95
(loop(\(x,i).((if (x - 2) <= 0 then (2 + 1) else x) + x),(x div (2 + 1)),1) + ((x mod (2 + 1)) - 1))
A067570: 0 1 2 3 4 5 7
A107684: 0 1 2 3 4 5 7 8 9 15 16 17 31 32 33 63
(loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 2) * x),x,(2 + 1)) + 1)
A071554: 4 16 106 1156 15016 255256 4849846 111546436 3234846616 100280245066 3710369067406 152125131763606 6541380665835016 307444891294245706 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((loop(\(x,i).((((x * 2) * 2) + 1) div (i + 1)),x,1) + x) div 2) - 1),1)
A302254: 1 1 2 4 4 4 4 4 8 8 16 16 32 32 64 64
(loop(\(x,i).((x * 2) * 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1) - 1)
A152099: 15 63 1023 16383 4194303 67108863 17179869183 274877906943 70368744177663 288230376151711743 4611686018427387903 4611686018427387903 4611686018427387903
((x div (loop(\(x,i).((x + 2) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(x * 2)) + 1)) + 1)
A056648: 1 1 1 1 1 2 1 1 2 4 1 2 2 1 2 2
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) + 1)
A074524: 3 17 131 1073 8963 75857 649091 5606513 48811523 427774097 3769259651 33358386353 296270823683 2638754838737 23555015527811 210638693604593
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) - 1)
A155648: 1 15 135 1215 11295 107775 1046655 10279935 101679615 1010077695 10060466175 100362797055 1002176782335 10013060694015 100078364164095 1000470184984575
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A155653: 1 5 65 785 8705 92225 953345 9720065 98320385 989922305 9939533825 99637202945 997823217665 9986939305985 99921635835905 999529815015425
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A074520: 3 14 86 560 3698 24584 164306 1103480 7444418 50431304 342941426 2340123800 16018069538 109949704424 756587236946 5217746494520
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A155650: 1 2 14 128 1106 9032 70994 543608 4085186 30275912 222009074 1614529688 11664504866 83828316392 599858908754 4277376525368
loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),(((2 + 1) * x) + 1),1)
A187443: 1 6 35 252 1716 12870 92378 705432 5200300 40116600 300540195 2333606220 17672631900 137846528820 1052049481860 8233430727600
((if (x - 1) <= 0 then x else (compr(\x.(loop(\(x,i).((x - i) * x),2,(x div 2)) mod (x + 1)),x) + 1)) + 1)
A026479: 1 2 4 5 6 7 9 11 13 15 16 17 19 21 23 25
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) - 1)
A155664: 1 17 163 1511 14095 132767 1262143 12097151 116777215 1134217727 11073741823 108589934591 1068719476735 10549755813887 104398046511103 1035184372088831
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + 1)
A155667: 1 3 37 489 5905 67233 737857 7902849 83222785 865782273 8926258177 91410065409 931280523265 9450244186113 95601953488897 964815627911169
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + 1)
A074523: 3 16 114 856 6498 49576 379794 2920696 22542018 174571336 1356217074 10567261336 82560763938 646644824296 5076269583954 39931933598776
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) + 1)
A155632: 1 8 106 1268 14386 160028 1767466 19470788 214293346 2357685548 25936376026 285307476308 3138411599506 34522645035068 379749565147786 4177247095673828
(loop(\(x,i).((((x + 2) + 2) + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A171410: 7 151 10501 1005001 100050001 10000500001 1000005000001 100000050000001 10000000500000001 1000000005000000001 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x + 2) + 2) + 2) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A171461: 8 161 10601 1006001 100060001 10000600001 1000006000001 100000060000001 10000000600000001 1000000006000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) * 2) + x) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A171513: 10 181 10801 1008001 100080001 10000800001 1000008000001 100000080000001 10000000800000001 1000000008000000001 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) * x) * (x * x)),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A272068: 0 59049 9509900499 995009990004999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + 1),(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 1),1)
A210454: 341 5461 1398101 22369621 5726623061 91625968981 23456248059221 96076792050570581 1537228672809129301 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1)
A301797: 5 21 341 5461 1398101 22369621 5726623061 91625968981 23456248059221 96076792050570581 1537228672809129301 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (2 + 1)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1)
A061234: 6 36 1296 46656 60466176 2176782336 2821109907456 101559956668416 131621703842267136 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),x,1) + 1) * (loop(\(x,i).(x * 2),x,1) + 1))
A241030: 4 42 850 19782 485554 12252702 313742650 8094558822 209642795554 5440108178862 141304954146250 3672136647383862 95452254746808754 2481455748310337022 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + 1) * (loop(\(x,i).(x * 2),x,1) + 1))
A241029: 4 36 610 11988 248914 5314716 115151530 2513845188 55090232674 1209627165996 26585860217050 584603613083988 12858141059430034 282844580595234876 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),(x + 1)) + 1))
A341416-A081376: 1 3 4 5 7 8 9 11 13 16 17 19 23 25 27 29
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + (((if x <= 0 then 0 else 2) * (x + 1)) + 1))
A171575: 1 6 9 13 17 23 27 33 37 43 51 55 63 69 73 79
loop(\(x,i).(((x + 2) * x) div 2),1,(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) + 1))
A157326: 10657 42049 94177 167041 260641 374977 510049 665857 842401 1039681 1257697 1496449 1755937 2036161 2337121 2658817
((((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1) * 2) * (x + 1)) + 1)
A070846: 3 5 7 17 11 13 29 17 19 41 23 73 53 29 31 97
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017159: 1977326743 8649755859375 952809757913927 25408476896404831 317475837322472439 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) + ((x + 2) * (x + 1))) + 1)
A223764: 4 12 28 56 101 169 267 403 586 826 1134 1522 2003 2591 3301 4149
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 1)
A217259-A014574: 4 6 12 18 30 42 60 72 102 108 138 150 180 192 198 228
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) - 1)
A144834: 2 4 10 16 28 40 58 70 100 106 136 148 178 190 196 226
loop(\(x,i).((2 + 1) * x),(x * 2),((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A156218: 1 18 81 2916 6561 118098 531441 38263752 43046721 774840978 3486784401 125524238436 282429536481 5083731656658 22876792454961 3294258113514384
loop(\(x,i).(((2 + 2) + 1) * x),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A156183: 1 10 25 500 625 6250 15625 625000 390625 3906250 9765625 195312500 244140625 2441406250 6103515625 488281250000
(if x <= 0 then 0 else loop(\(x,i).(((((x * 2) * 2) * 2) * ((i * 2) - 1)) div (i + 1)),(x - 1),1))
A052704: 0 1 4 32 320 3584 43008 540672 7028736 93716480 1274544128 17611882496 246566354944 3489862254592 49855175065600 717914520944640
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - loop(\(x,i).(x * 2),(x - 1),1))
A125107: 0 0 0 1 6 26 100 365 1302 4606 16284 57762 205964 738804 2666248 9678461
((x div ((x + 2) div (loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1))) + 1)
A078680-A067760: 1 1 1 2 1 1 2 1 1 2 1 3 2 1 1 4
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + 1)
A074517: 3 13 75 469 3027 19933 133275 901669 6155427 42306733 292240875 2026154869 14085427827 98109713533 684326588475 4778079088069
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + 1) * (loop(\(x,i).((2 + 1) * x),x,1) + 1))
A034663: 4 32 500 9632 196964 4101152 85884500 1801914272 37828630724 794320419872 16680163512500 350279478046112 7355841353205284 154472474629724192 3243920610749364500 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((((x * x) * x) * (2 + 1)) * (x + 1)),((x * x) + 1),1))
A135240: 36 20575296
(loop(\(x,i).(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),x) + x),x,1) + 1)
A193064: 2 3 5 13
A115347: 2 3 5 13 1597
(loop(\(x,i).(loop(\(x,i).(x - (((1 - x) div ((x div (2 + 2)) + 2)) - 2)),1,i) + x),x,1) + 1)
A131938: 2 5 10 16 23 32 42 53 65 78 93 109 126 144 163 183
((loop(\(x,i).((x + 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),0) - 2) - 1)
A098815: ~3 1 25 121 2041 8185 131065 524281 8388601 536870905 2147483641 137438953465 2199023255545 8796093022201 140737488355321 9007199254740985
(if x <= 0 then 0 else (((x - ((x mod ((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 1)) - 1)) div 2) + 1))
A318241: 0 1 1 3 3 4 4 4 4 6 6 6 7 7 7 9
(((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x - (x div ((x mod 2) + 1))),1)) * 2) + 1)
A085903: 1 1 7 9 31 49 127 225 511 961 2047 3969 8191 16129 32767 65025
((loop(\(x,i).(x * x),1,((loop(\(x,i).((x + 2) * (x + 2)),2,1) * (x + 1)) + 1)) * 2) - 1)
A157614: 29767 118097 264991 470449 734471 1057057 1438207 1877921 2376199 2933041 3548447 4222417 4954951 5746049 6595711 7503937
(((compr(\x.loop(\(x,i).(x div (if (x mod 2) <= 0 then (2 + 2) else 1)),x,(x * 2)),(x + 1)) + 1) div 2) - 1)
A270804: 0 1 2 7 8 9 10 31 32 33 34 39 40 41 42 127
(((((((loop(\(x,i).(x * 2),x,2) - (if x <= 0 then 0 else 1)) mod (x + 2)) + 1) div 2) + 1) div 2) + 1)
A127669: 1 1 2 1 2 1 3 2 2 1 3 1 2 2 5 1
loop(\(x,i).(x * 2),(((loop(\(x,i).((x * 2) - ((x div 2) div (2 + 1))),x,1) div 2) + 1) div 2),1)
A063401: 1 2 2 4 16 128 8192 16777216 17592186044416 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).i,(((loop(\(x,i).(((((x div 2) + x) div (2 + 2)) + x) + 1),x,1) div 2) + 1) div 2),1)
A087221: 1 1 1 1 2 3 4 5 7 10 14 19 26 36 50 69
((((((loop(\(x,i).(x * 2),x,2) + (if (x - 2) <= 0 then 0 else 1)) mod (x + 1)) div 2) + 1) div 2) + 1)
A336648: 1 1 2 1 2 2 2 1 1 2 2 2 2 2 3 1
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((((x + 1) div 2) div 2) + 1) * 2)) + 1)
A129801: 1 1 3 1 5 9 1 7 13 19 1 9 17 25 33 1
((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) mod ((x mod (((2 + 2) * 2) + 1)) + 2)) + 1)
A285730: 1 1 2 1 2 3 1 2 3 2 1 2 3 4 5 1
((loop(\(x,i).(((x * 2) + 1) * x),1,(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) - 1)) div 2) - 1)
A152101: 9 231 3999 65151 1047039 16771071 268410879 4294868991 68719083519 1099510054911 17592179752959 281474951544831 4503599526707199 72057593635274751 1152921502996234239 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017111: 177147 285311670611 116490258898219 5559060566555523 96549157373046875 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 2) + 1) * x) + 1)),x,(((2 + 1) * 2) + 1))
A028389: 7 36 18 9 46 23 116 58 29 146 73 366 183 916 458 229
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + (((2 + 1) * 2) + 1))
A153049: 7 11 14 17 19 20 23 24 26 29 31 32 34 35 38 39
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (((2 + 1) * 2) + 1))
A097338: 7 8 9 11 12 14 15 17 20 21 24 26 27 29 32 35
(((x + 1) * 2) div (((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 2) + 1))
A116512: 0 1 1 2 1 3 1 4 3 5 1 6 1 7 6 8
(((loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) + 1) * 2) + 1)
A241573: 7 11 35 131 2051 8195 131075 524291 8388611 536870915 2147483651 137438953475 2199023255555 8796093022211 140737488355331 9007199254740995
((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) div ((((x div 2) + 1) div 2) + 1))
A029833: 0 1 1 0 2 0 2 0 0 0 2 0 3 0 0 0
((((if (((if (x mod 2) <= 0 then 2 else x) + x) mod (2 + 1)) <= 0 then 1 else x) mod ((x div 2) + 1)) * 2) + 1)
A172170: 1 1 1 3 3 5 5 7 7 3 3 11 11 13 13 3
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017314: 59049 137858491849 41426511213649 1531578985264449 21611482313284249 174887470365513049 984930291881790849 4297625829703557649 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017316: 531441 23298085122481 21914624432020321 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(if x <= 0 then 1 else ((((x + 2) mod ((2 + 2) + 1)) - 1) * 2)),2,x) + 1) div 2) - 1)
A117452: 1 ~1 1 0 0 2 ~1 1 0 0 2 ~1 1 0 0 2
(((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) + 1) * 2) + 1)
A089193: 5 7 9 13 15 19 25 27 33 37 39 43 45 55 57 67
((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div 2) + 1)
A139162: 31 1261 9979201 1556755201 88921857024001 30411275102208001 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div 2) - 1)
A139192: 29 1259 9979199 1556755199 88921857023999 30411275102207999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),2) - 1)
A139287: 7 31 511 8191 2097151 33554431 8589934591 137438953471 35184372088831 144115188075855871 2305843009213693951 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((((i mod 2) + 1) * x) + (x mod 2)),x,1) + loop(\(x,i).(x * 2),x,1)) div 2) - 1)
A222010: 0 1 3 7
A116362: 0 1 3 7 11 23 39 79 143 287 543 1087 2111 4223 8319 16639
((x + 1) div (((loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then 0 else 1)) mod (x + 1)) div 2) + 1))
A330741: 1 2 3 4 5 3 7 8 9 5 11 2 13 7 5 16
(2 div (if x <= 0 then 2 else (((x - (loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod (x + 1))) * 2) - 1)))
A227395-A002448: 1 ~2 0 0 2 0 0 0 0 ~2 0 0 0 0 0 0
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * 2) * 2)),(x + 1)) * 2) - 1)
A107757: 3 9 11 27 29 35 39 81 83 89 93 107 111 117 119 243
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 1)) * (((x + 1) * 2) + 1))
A002738: 3 60 630 5040 34650 216216 1261260 7001280 37413090 193993800 981608628 4867480800 23728968900 114011377200 540972351000 2538963567360
(loop(\(x,i).((2 + 1) * x),x,1) div loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x - 1) div 2),1))
A060956: 1 3 9 2 8 2 7 2 6 1 5 1 5 1 4 1
(if (x mod (2 + 2)) <= 0 then (((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040850: 29 1 1 1 58 1 1 1 58 1 1 1 58 1 1 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040207: 14 1 8 1 28 1 8 1 28 1 8 1 28 1 8 1
(if (x mod 2) <= 0 then (((((2 - x) mod (2 + 2)) * ((2 + 2) + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010197: 11 1 2 1 22 1 2 1 22 1 2 1 22 1 2 1
(if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A010169: 9 1 8 1 18 1 8 1 18 1 8 1 18 1 8 1
(if (x mod ((2 + 2) + 1)) <= 0 then (((((2 + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040533: 23 1 1 1 1 46 1 1 1 1 46 1 1 1 1 46
(if (x mod 2) <= 0 then ((((((2 - x) mod (2 + 2)) * 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010231: 13 1 2 1 26 1 2 1 26 1 2 1 26 1 2 1
(if (x mod 2) <= 0 then (((((((2 - x) mod (2 + 2)) + 2) * 2) * 2) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040238: 15 1 14 1 30 1 14 1 30 1 14 1 30 1 14 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * ((2 + 2) * 2)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040549: 23 1 14 1 46 1 14 1 46 1 14 1 46 1 14 1
((loop(\(x,i).(((loop(\(x,i).((x - 1) * x),2,(x * 2)) * (i + 1)) - 1) * x),x,1) div 2) + 1)
A285086: 1 2 3914
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (x div (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)))
A315710: 1 6 12 17 23 29 35 41 47 53 58 64 70 76 82 87
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (x div (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)))
A313569: 1 5 10 14 19 24 29 34 39 44 48 53 58 63 68 72
((x * 2) mod ((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + ((x div (0 - 2)) mod 2)) + 1))
A258651: 0 0 1 0 0 2 0 0 1 3 0 0 0 1 4 0
((((loop(\(x,i).loop(\(x,i).((x + 1) * x),(x - 1),((x * 2) + 1)),x,1) + 1) div 2) * 2) + 1)
A138154: 3 5 3193
(((((loop(\(x,i).((x * 2) + 1),x,(if (x - (2 + 1)) <= 0 then 2 else 1)) div 2) + 1) div 2) * 2) - 1)
A290199: 1 1 5 11 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767
(((loop(\(x,i).((x + 2) * 2),x,((loop(\(x,i).((x + 2) * 2),x,1) div 2) + 1)) div 2) div 2) + 1)
A087440: 1 4 13 46 172 664 2608 10336 41152 164224 656128 2622976 10488832 41949184 167784448 671113216
(((loop(\(x,i).loop(\(x,i).(x * x),1,((2 - x) + (2 + 1))),((x + 1) * 2),1) div 2) div 2) - 1)
A219015: 29 45232349 4611686018427387903
(((x * 2) * 2) div (if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * 2) * 2) else 1))
A188134: 0 4 2 12 1 20 6 28 2 36 10 44 3 52 14 60
((((loop(\(x,i).(if (x mod (2 + 2)) <= 0 then (x div 2) else x),x,(x + 1)) * (2 + 1)) div 2) div 2) + 1)
A336474-A336149-A336148-A336146: 1 2 3 2 4 5 6 2 7 8 9 5 10 11 12 2
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017135: 48828125 1792160394037 350277500542221 12200509765705829 177917621779460413 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - (((((x * 2) + 1) * 2) * 2) + 1)))
A017050: 9765625 61917364224 6131066257801 141167095653376 1531578985264449 10485760000000000 52599132235830049 210832519264920576 713342911662882601 2113922820157210624 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - (((((x * 2) + 1) * 2) * 2) + 1)))
A017052: 244140625 8916100448256 2213314919066161 95428956661682176 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),2,(x + 1)) - 2)) div 2) - 1)
A157288: 10081 40897 92449 164737 257761 371521 506017 661249 837217 1033921 1251361 1489537 1748449 2028097 2328481 2649601
(if (x mod 2) <= 0 then (((((2 - (x mod (2 + 2))) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) * 2) else 1)
A040205: 14 1 4 1 28 1 4 1 28 1 4 1 28 1 4 1
(loop(\(x,i).loop(\(x,i).((x - i) * x),2,(i - 1)),x,1) div (((((2 + 2) * 2) * 2) * 2) - 1))
A011941: 0 0 0 0 0 3 11 27 54 97 162 255 383 553 774 1056
(loop(\(x,i).(x * x),2,loop(\(x,i).((x * x) * x),x,2)) + (((((2 + 2) * 2) * 2) * 2) - 1))
A104069: 47 4127 68719476767 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) + 1)),x,((((2 + 2) * 2) * 2) - 1))
A033480: 15 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4
(if x <= 0 then (x mod 2) else (((((x * x) mod ((if (x mod 2) <= 0 then 1 else (x + 2)) + 2)) mod 2) * 2) - 1))
A165476: 0 1 1 ~1 1 1 ~1 1 1 1 1 1 ~1 ~1 1 ~1
(((if x <= 0 then 1 else ((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) + 2)) + ((2 + 2) * 2)) + 1)
A261907-A102850-A102357: 10 12 13 14 15 16 17 18 19 20 23 24 25 26 27 28
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + (((2 + 2) * 2) + 1))
A153051: 9 13 16 19 21 22 25 26 28 31 33 34 36 37 40 41
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (((2 + 2) * 2) + 1))
A097480: 9 10 11 13 14 16 17 19 22 23 26 28 29 31 34 37
(if x <= 0 then 0 else (if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x div (2 + 2)) + 2) else 1))
A216764: 0 1 2 1 1 3 1 1 1 4 1 1 1 1 5 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017638: 3486784401 16679880978201 1531578985264449 34050628916015625 362033331456891249 2446194060654759801 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017640: 282429536481 7355827511386641 1667889514952984961 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) + 2) * 2) + 1)
A241677: 9 13 37 133 2053 8197 131077 524293 8388613 536870917 2147483653 137438953477 2199023255557 8796093022213 140737488355333 9007199254740997
((((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) + loop(\(x,i).(x * 2),x,2)) * 2) * 2) + 1)
A184040: 9 21 41 81 153 297 569 1113 2169 4281 8441 16761 33273 66297
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) * ((((x * 2) * 2) * 2) + 1))
A285043: 1 18 102 500 2310 10332 45276 195624 836550 3549260 14965236 62783448 262303132 1092063000 4533175800 18769219920
(((loop(\(x,i).(x * 2),(2 + 1),((if x <= 0 then 2 else (x mod 2)) - 1)) mod (x + 1)) mod (2 + 2)) + 1)
A206923: 1 1 2 1 3 1 3 1 2 1 4 1 2 1 4 1
(2 - (loop(\(x,i).((x - 1) * 2),x,(if (x mod ((x mod 2) + 2)) <= 0 then 1 else 0)) mod ((2 + 2) + 1)))
A242073: 1 ~1 ~1 ~2 1 ~1 ~1 1 1 2 ~1 1 1 ~1 ~1 ~2
(((loop(\(x,i).(loop(\(x,i).(x * x),1,((i div 2) + 2)) + x),x,1) * 2) + 1) + ((2 + 2) + 1))
A271994: 8 16 34 52 84 116 166 216 288 360 458 556 684 812 974 1136
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017339: 48828125 8649755859375 2384185791015625 96549157373046875 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),((2 + 2) + 1)))
A029609: 1 5 15 50 175 630 2310 8580 32175 121550 461890 1763580 6760390 26001500 100291500 387793800
((if ((if x <= 0 then 1 else x) mod ((2 + 2) * (2 + 1))) <= 0 then 1 else ((2 + 1) * 2)) * ((2 + 2) + 1))
A056997: 30 30 30 30 30 30 30 30 30 30 30 30 5 30 30 30
(if (x mod (2 + 1)) <= 0 then (if (x mod 2) <= 0 then 1 else (((x + 2) * (x + 1)) div 2)) else ((2 + 2) + 1))
A331064: 1 5 5 10 5 5 1
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 2) * (x + 1)),x,(2 + 2))) div ((2 + 2) + 1))
A203244: 4 84 1428 23188 372372 5963412 95436436 1527070356 24433475220 390937001620 6254997618324 100079984262804 1601279837683348 25620477760847508 409927645605215892 4611686018427387903
((loop(\(x,i).((x * 2) * 2),x,(2 + 1)) + loop(\(x,i).((2 + 1) * x),x,2)) div ((2 + 2) + 1))
A318165: 1 3 13
A178934: 1 3 13 49 186 711 2749 10705 41946 165159 652765 2587441 10278906 40903047 162974461 649984657
((loop(\(x,i).((x * 2) * 2),x,(2 + 1)) - loop(\(x,i).((2 + 1) * x),x,2)) div ((2 + 2) + 1))
A178935: 0 1 6 27 121 517 2166 8955 36697 149413 605526 2445723 9853753 39627589 159148086 638505531
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(1 - ((x * 2) * 2))),x) * (2 + 2)) + 1)
A089217: 5 9 13 21 25 33 45 49 61 69 73 81 85 105 109 129
(loop(\(x,i).((x * 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2)) - 1)
A139289: 3 15 255 4095 1048575 16777215 4294967295 68719476735 17592186044415 72057594037927935 1152921504606846975 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) mod (((x + 2) div ((if (x mod 2) <= 0 then (if (x mod (2 + 1)) <= 0 then 1 else x) else 2) + 2)) + 1))
A182662: 0 0 1 0 1 0 1 2 1 1 1 0 3 2 1 1
((loop(\(x,i).(x * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) div 2) + 1)
A066885: 5 13 25 61 85 145 181 265 421 481 685 841 925 1105 1405 1741
((loop(\(x,i).(x * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) div 2) - 1)
A243887: 3 11 23 59 83 143 179 263 419 479 683 839 923 1103 1403 1739
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 2) - 1)
A182200: 1 6 22 46 118 166 286 358 526 838 958 1366 1678 1846 2206 2806
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * 2) - 1)
A179262: 7 17 49 97 241 337 577 721 1057 1681 1921 2737 3361 3697 4417 5617
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) + 1)
A110494: 3 5 13 25 61 85 145 181 265 421 481 685 841 925 1105 1405
(loop(\(x,i).(x * x),1,((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2)) + 1)
A060429: 17 37 101 197 485 677 1157 1445 2117 3365 3845 5477 6725 7397 8837 11237
(((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),x) + 2) * 2) + 1)
A269345: 25 33 49 55 63 75 85 91 93 115 117 119 121 123 133 141
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + ((x * 2) * 2)) * 2),x,1) div (((x * 2) * 2) + 1))
A004981: 1 2 10 60 390 2652 18564 132600 961350 7049900 52169260 388898120 2916735900 21987701400 166478310600 1265235160560
(((x * 2) - ((x - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))) div 2)) + 1)
A074147: 1 2 4 3 5 7 6 8 10 12 9 11 13 15 17 14
(compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + (((x mod 2) + 2) + 1))
A033163: 3 5 6 8 12 14 15 17 30 32 33 35 39 41 42 44
((if (x mod (2 + 2)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) - 1) else 2) - (((x mod 2) * 2) - 1))
A010127: 4 1 3 1 8 1 3 1 8 1 3 1 8 1 3 1
(((x div loop(\(x,i).(x + 1),loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),2)) * 2) + 1)
A104489: 1 1 3 1 5 5 3 1 9 9 11 1 5 5 3 1
(((compr(\x.(2 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),x) + 2) * 2) + 1)
A025583: 27 35 51 57 65 77 87 93 95 117 119 121 123 125 135 143
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - (x - 1)),x,0) mod (2 + 1))
A339448: 0 2 1 1 0 2 2 0 1 1 1 0 1 1 0 2
(if x <= 0 then 1 else (((x mod (((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) * 2) + 1)) + 1) div (2 + 1)))
A227819-A186084-A177517-A047998: 1 0 1 0 0 1 0 0 1 1 0 0 0 2 1 0
(if x <= 0 then 1 else (((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1) * (2 + 1)))
A122916: 1 3 3 3 3
A074816: 1 3 3 3 3 9 3 3 3 9 3 9 3 9 9 3
((((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),((x + 1) div 2),1)) * 2) + 1) div (2 + 1))
A129362: 1 1 4 8 19 37 80 160 331 661 1344 2688 5419 10837 21760 43520
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017567: 177147 8649755859375 5559060566555523 317475837322472439 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) * 2) + 1) * (2 + 1))))
A017434: 59049 289254654976 95367431640625 3656158440062976 52599132235830049 430804206899405824 2446194060654759801 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) * 2) + 1) * (2 + 1))))
A017436: 531441 56693912375296 59604644775390625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x * 2) - (((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1))) * (2 + 1)))
A301720: 1 6 9 18 21 24 36 36 39 54 51 54 72 66 69 90
(((if x <= 0 then 0 else loop(\(x,i).(((((x div 2) + x) div (2 + 2)) + x) + 2),x,2)) + 1) + (2 + 1))
A054736: 4 8 11 15 21 29 40 55 76
((loop(\(x,i).((((x * 2) * 2) * 2) + 1),x,1) * (loop(\(x,i).(x * 2),x,2) + 1)) div (2 + 1))
A238538: 1 15 219 3315 51491 811395 12882499 205321155 3278747331 52408827075 838132189379 13406842675395 214483303960771 3431523432591555 54902699475185859 878429788032676035
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((x * 2) + 1) * (2 + 1)))
A031372: 11 31 59 83 109 149 179 211 241 277 313 353 389 431 461 499
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1)))
A315563: 1 6 11 18 23 28 36 40 45 54 57 62 72 74 79 90
(x - (((if (if (x mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 1 else 0) <= 0 then 1 else x) - 1) div (2 + 1)))
A269524: 1 1 2 3 4 5 5 7 8 9 7 11 9 13 14 15
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017207: 177147 743008370688 350277500542221 17714700000000000 317475837322472439 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * 2),1,(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (2 + 1)))
A178630: 18 2178 221778 22217778 2222177778 222221777778 22222217777778 2222222177777778 222222221777777778 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * 2),1,loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),x,1)) * (2 + 1))
A060871: 6 384 19494 960000 47073606 2306841984 113036904294 5538819840000 271402252867206 13298710955443584 651636840771389094 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) + loop(\(x,i).((x * 2) * 2),x,1)) div (2 + 1))
A082414: 1 8 72 688 6752 67008 668032 6672128 66688512 666754048 6667016192 66668064768 666672259072 6666689036288 66666756145152 666667024580608
(loop(\(x,i).((i + x) + 1),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1) * (2 + 1))
A179545: 3 9 30 63 165 234 408 513 759 1218 1395 1998 2460 2709 3243 4134
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(2 - (((2 + 2) * (x + 1)) * (2 + 1))))
A017650: 10000000000 26559922791424 2064377754059776 42420747482776576 430804206899405824 2824752490000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((loop(\(x,i).(((x * x) - 1) * 2),2,2) * x) + 1),2,x) mod (x + 1)) div (2 + 1))
A225927: 0 0 0 1 0 0 0 1 1 0 0 2 2 0 0 1
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),x,1)) * (2 + 1))
A202109: 3 192 3000 24000 128625 526848 1778112 5184000 13476375 31944000 70180968 144685632 282589125 526848000 943296000 1630015488
(((x + 1) div (if (x - 2) <= 0 then 1 else ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 0) + 2))) div (2 + 1))
A241087: 0 0 1 0 0 1 1 1 0 1 1 2 2 2 2 2
((((loop(\(x,i).(x * 2),x,1) div loop(\(x,i).((i div (x + 2)) + 1),x,1)) + 1) * 2) mod (2 + 1))
A074080: 1 0 1 1 0 1 0 1 1 1 0 1 2 2 1 0
(if x <= 0 then 1 else (((loop(\(x,i).((x * x) * x),1,((x * 2) * (x + 1))) + 1) * 2) * (2 + 1)))
A207575: 1 390 10374
((loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),x,(((2 + 1) * 2) + 1)) div 2) div (2 + 1))
A022240: 1 2306881200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x - (((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1))) * 2) * (2 + 1)))
A301682: 1 6 6 18 18 18 36 30 30 54 42 42 72 54 54 90
((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((1 - x) * (2 + 1)),x,(2 + 1))) div 2) div (2 + 1))
A015251: 1 7 70 610 5551 49777 448540 4035220 36321901 326882347 2941985410 26477735830 238300021051 2144698993717 19302294530680 173720640014440
((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,((x * 2) + 1)) + 2) div (2 + 1))
A253887: 1 1 2 3 1 4 5 2 6 7 3 8 9 1 10 11
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017603: 362797056 64268410079232 17714700000000000 717368321110468608 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017470: 60466176 2015993900449 296196766695424 8140406085191601 97656250000000000 713342911662882601 3743906242624487424 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017472: 2176782336 582622237229761 232218265089212416 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((0 - x) * (2 + 1)),x,1)) div 2) div (2 + 1))
A192356: 0 1 1 15 29 211 561 3095 9829 46971 164921 728575 2707629 11450531 43942081 181348455
((loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1))) div 2) div (2 + 1))
A213432: 0 0 0 0 2 20 120 560 2240 8064 26880 84480 253440 732160 2050048 5591040
(if (x mod 2) <= 0 then 2 else ((((if (x mod (2 + 1)) <= 0 then 1 else x) mod ((2 + 1) * 2)) * 2) * (2 + 1)))
A276152: 2 6 2 6 2 30 2 6 2 6 2 30 2 6 2 6
((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((0 - x) * 2),x,(2 + 1)) div 2)) div 2) div (2 + 1))
A117110: 0 1 7 22 100 376 1552 6112 24640 98176 393472 1572352 6292480 25163776 100667392 402644992
(((if x <= 0 then 1 else (((if (x mod (2 + 1)) <= 0 then ((2 + 1) * x) else 2) + 1) * 2)) + 2) * (2 + 1))
A161431: 9 24 24 66 24
((loop(\(x,i).(x * 2),(x - 2),loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),2)) * 2) * (2 + 1))
A096363: 60 300 1500 15000 150000 1500000 15000000 150000000 1500000000 15000000000 150000000000 1500000000000 15000000000000 150000000000000 1500000000000000 15000000000000000
((((loop(\(x,i).((x div 2) * x),1,loop(\(x,i).((i + x) + x),x,0)) div 2) div 2) div 2) mod (2 + 1))
A112761: 0 0 1 0 0 1 0 2 0 1 1 0 2 0 1 0
(((if x <= 0 then 1 else ((if (x mod (2 + 2)) <= 0 then 1 else (((x + 1) div 2) div 2)) + 2)) * 2) div (2 + 1))
A209253: 0 1 1 2 2 2 2 2 2 2 2 3 2 3 3 4
(((loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).((x + 1) * 2),x,2)) div 2) div 2) div (2 + 1))
A177730: 1 21 245 2325 20181 168021 1370965 11075925 89042261 714081621 5719635285 45785027925 366392038741 2931583636821 23454458533205 187642826282325
(((loop(\(x,i).(((2 - (i mod 2)) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,2)) + 2) div (2 + 1))
A172411: 1 2 5 10
A018344: 1 2 5 10 23 46 115 230
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017422: 1024 137858491849 63403380965376 2758547353515625 42420747482776576 362033331456891249 2113922820157210624 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017424: 4096 23298085122481 36520347436056576 3379220508056640625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((loop(\(x,i).((x * 2) - 1),x,0) div 2) - ((1 - ((x mod 2) * 2)) * (2 + 1))))
A156067: 1 2 ~5 ~1 ~11 ~13 ~35 ~61 ~131 ~253 ~515 ~1021 ~2051 ~4093 ~8195 ~16381
(x - (1 - (loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((x + 2) * 2) + 1),x,2)) div (2 + 1))))
A265037: 1 30 185 886 3855 16064 65569 264930 1065059 4270948 17105253 68463974 273941863 1095939432 4384101737 17537095018
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017243: 362797056 8649755859375 1521681143169024 50542106513726817 717368321110468608 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),(x - 1),((loop(\(x,i).(i * x),x,2) div (x + 1)) + x)) + 2) div (2 + 1))
A122674: 1 1 2 8 35 240
loop(\(x,i).((x * x) * 2),1,(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,2) * (2 + 1)))
A178635: 72 8712 887112 88871112 8888711112 888887111112 88888871111112 8888888711111112 888888887111111112 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,((x * 2) * 2)),x) * 2) * (2 + 1))
A083096: 0 12 30 36 84 90 108 120 246 252 270 282 324 336 354 360
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((0 - x) * 2),x,2)) div (2 + 1))
A191566: 1 1 19 109 811 5581 39259 274429 1921771 13450861 94159099 659107549 4613765131 32296331341 226074368539 1582520481469
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div (2 + 1))
A024700: 8 16 40 56 96 120 176 280 320 456 560 616 736 936 1160 1240
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) div 2)) div (2 + 1))
A030006: 0 1 5 8 16 21 33 56 65 96 120 133 161 208 261 280
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * (2 + 1))
A079705: 12 27 75 147 363 507 867 1083 1587 2523 2883 4107 5043 5547 6627 8427
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div 2)) div (2 + 1))
A242090: 0 0 0 1 5 8 16 21 33 56 65 96 120 133 161 208
(loop(\(x,i).((((x - 1) * x) div 2) * ((x * 2) - 1)),1,loop(\(x,i).(x * 2),x,2)) div (2 + 1))
A016290: 1 14 140 1240 10416 85344 690880 5559680 44608256 357389824 2861214720 22898104320 183218384896 1465881288704 11727587164160 93822844764160
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - (if ((x div 2) - 2) <= 0 then x else (x + 2))) div (2 + 1)))
A312903: 1 4 9 13 17 22 27 31 35 40 44 48 53 57 61 66
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 1) * x) * ((2 + 2) + 1)) + 1)),x,(2 + 1))
A037105: 3 46 23 346 173 2596 1298 649 9736 4868 2434 1217 18256 9128 4564 2282
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) + 1) * x) + (2 + 1)))
A016895: 177147 8589934592 1792160394037 64268410079232 952809757913927 8293509467471872 50542106513726817 238572050223552512 929293739471222707 3116402981210161152 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - (((x * 2) * 2) * (2 + 1))))),x,(2 + 1))
A037103: 3 34 17 188 94 47 518 259 2850 1425 15676 7838 3919 43110 21555 237106
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) * (2 + 1)) + 1) * x) + 1)),x,(2 + 1))
A037104: 3 40 20 10 5 66 33 430 215 2796 1398 699 9088 4544 2272 1136
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * 2) * 2) + 1) * x) + 1)),x,(2 + 1))
A037106: 3 52 26 13 222 111 1888 944 472 236 118 59 1004 502 251 4268
((x * 2) div (loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),2) + (x div (2 + 1))))
A065334: 0 1 0 2 0 1 0 3 0 0 0 2 0 0 0 4
(((if (x - 1) <= 0 then 1 else ((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2)) + x) + (x div (2 + 1)))
A089676: 1 2 2 4 5 6 8 9 10 16 17
loop(\(x,i).(((((2 + 2) * 2) + x) + (if x <= 0 then 0 else 1)) + 2),(x div (2 + 1)),(x mod (2 + 1)))
A101222: 0 1 2 10 12 13 21 23 24 32 34 35 43 45 46 54
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017291: 1 285311670611 350277500542221 25408476896404831 550329031716248441 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1))),x) * 2) + 1)
A119681: 3 7 9 15 19 21 27 31 37 45 49 51 55 57 69 75
((((if (x - 2) <= 0 then 1 else ((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * (2 + 1))) + x) * 2) - 1)
A069977: 1 3 5 11 13 15 17 19 21 29 31 33 35 37 39 41
((loop(\(x,i).(x * x),1,((loop(\(x,i).((x * x) * x),(x * x),2) * (2 + 1)) + x)) div 2) + 1)
A138943: 19 313 4611686018427387903
((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) * 2) + 1)
A088503: 3 5 7 11 13 17 25 29 31 35 41 43 49 55 67 77
((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) - 1))),x) * 2) + 1)
A088502: 5 7 9 11 13 17 19 21 23 27 31 33 39 41 43 49
(x - (((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(x + 1)) - x) div 2) - 1))
A327625: 1 2 4 4 5 8 7 8 13 10 11 16 13 14 20 16
((loop(\(x,i).(x * x),1,((loop(\(x,i).((i + x) * x),2,(2 + 2)) * (x + 1)) + x)) * 2) - 1)
A157739: 387199 1552321 3495367 6216337 9715231 13992049 19046791 24879457 31490047 38878561 47044999 55989361 65711647 76211857 87489991 99546049
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017362: 282475249 2015993900449 205891132094649 4808584372417849 52599132235830049 362033331456891249 1822837804551761449 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017364: 13841287201 582622237229761 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,((loop(\(x,i).((x - i) * x),2,(x * 2)) * (x + 1)) + x)) * 2) - 1)
A243136: ~1 1 262087 22619537 457470751 4517251249 28860511751 137379191137 528572943487 1730726404001 4993116004999 13007560326001 31154649926687 69544807113937 146217791079751 291977237261249
(((compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),(x + 1)) - x) * 2) - 1)
A160522: 5 9 13 15 15 19 19 21 25 27 27 29 29 33 33 35
((((((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x div 2),2)) + 1) div 2) + x) div 2) + 1)
A154223: 1 1 2 3 5 9 16 32 61 125 246 502 999 2023 4040 8136
(((((loop(\(x,i).((x * x) * (2 + 1)),x,1) + loop(\(x,i).(x * 2),x,1)) div 2) * x) div 2) + 1)
A060597: 1 2 16 1646
((loop(\(x,i).(((x * 2) * 2) * 2),x,(2 + 2)) + 1) * (loop(\(x,i).((x * 2) * 2),x,2) - 1))
A147540: 5 231 7967 260223 8372735 268306431 8588894207 274869551103 8796026044415 281474440364031 9007194961870847 288230341800361983 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then (2 + 2) else 0) + 1)),x,((x * 2) * 2)),x) * 2) + 1)
A111363: 1 3 7 11 13 27 31 33 37 51 53 57 61 63 127 131
((compr(\x.(1 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((x * 2) * 2))),x) * 2) - 1)
A141544: 1 3 7 9 13 19 21 27 31 33 37 39 49 51 61 63
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 2))),x) * 2) + 1)
A034934: 1 3 7 11 15 19 27 31 35 39 47 55 59 67 71 75
((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) - 2))),x) div 2) + 1)
A083022: 2 4 5 7 10 13 16 17 20 22 23 29 32 34 40 43
(loop(\(x,i).((x mod (i + 2)) + 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) - 1)
A088147: 1 3 3 7 7 11 3 7 15 27 31 11 19 23 31 43
(loop(\(x,i).((x + 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A319597: 5 11 29 55 131 181 305 379 551 869 991 1405 1721 1891 2255 2861
(if (2 div ((x * x) - 2)) <= 0 then (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) else 1)
A161847: 2 3 1 7 11 13 17 19 23 29 31 37 41 43 47 53
loop(\(x,i).(((2 + 2) + 1) * x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1)
A057902: 25 125 3125 78125 48828125 1220703125 762939453125 19073486328125 11920928955078125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),x,0) * (loop(\(x,i).(x * 2),x,2) - 1))
A160880: 0 3 84 1995 45384
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x + 2),(loop(\(x,i).(x * 2),x,2) - 1))
A258390: 2 15 98 630 4092 27027 181610 1239810 8582756 60138078 425800564 3042175500 21906338040 158830645635 1158564772890 8496271312650
(loop(\(x,i).compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x),1,(((x mod 2) * x) div 2)) + 1)
A130008: 1 1 1 2 1 3 1 5 1 7 1 11 1 13 1 17
((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,2) * (2 + 1)) div ((x + 2) + 1))
A007946: 2 9 36 140 540 2079 8008 30888 119340 461890 1790712 6953544 27041560 105306075 410605200 1602881040
loop(\(x,i).((((x * 2) * 2) * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),(x * 2),1)
A216704: 1 56 3360 206080 12776960 797282304 49963024384 3140532961280 197853576560640 12486759054049280 789163172215914496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x),(x * 2),1) div ((x * 2) + 1))
A000973: 1 15 99 429 1430 3978 9690 21318 43263 82225 148005 254475 420732 672452 1043460 1577532
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),1,(((x mod 2) + 1) * ((x * 2) + 1)))
A329494: 1 2 5 14 3 22 13 10 17 38 7 46 25 18 29 62
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),(x * 2),1))
A139747: 0 2 40 602 8080 102002 1240120 14704202 171312160 1970527202 22450640200 253930611002 2855998840240 31980846315602 356873041128280 3971357037321002
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),(x mod 2),(x div 2)) + 1)
A082500: 1 2 2 3 3 5 4 7 5 11 6 13 7 17 8 19
((loop(\(x,i).i,(x div (((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)) + 1)),1) + (x mod 2)) + 1)
A197861-A090662: 2 3 2 5 3 7 2 3 5 11 2 13 7 5 2 17
((x + 2) div ((loop(\(x,i).i,((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),1) - (x mod 2)) + 1))
A217663: 1 3 1 5 3 7 1 3 5 11 1 13 7 5 1 17
(((loop(\(x,i).((((i * 2) - 1) * i) * x),x,1) - loop(\(x,i).(x * 2),x,1)) + (x mod 2)) + 1)
A261008: 1 1 3 84 2505
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),(x + 1)) - (x mod 2)) - 1)
A222010: 0 1 3 7
A082575: 0 1 3 7 9 10 12 25 27 28 30 34 36 37 39 79
((((if (x mod (2 + 1)) <= 0 then ((2 + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2)) div ((x mod 2) + 1))
A010144: 7 1 2 7 2 1 14 1 2 7 2 1 14 1 2 7
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),x) div 2) + 1)
A168497: 1 2 3 6 9 15 21 30 36 51 54 69 75 90 96 99
loop(\(x,i).(((((x * 2) * 2) * 2) * (2 + 1)) + 1),loop(\(x,i).(x * x),((x * x) * x),2),1)
A292069: 601 346201 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(compr(\x.((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) - 1),x) + 1))
A056798: 1 4 9 16 25 49 64 81 121 169 256 289 361 529 625 729
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1)),x,1)
A033969: 1 26 13 326 163 4076 2038 1019 25476 12738 6369 159226 79613 1990326 995163 24879076
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + 1)),x,1)
A033970: 1 28 14 7 190 95 2566 1283 34642 17321 467668 233834 116917 3156760 1578380 789190
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 1) * 2) + 1) * x) * (2 + 1)) + 1)),x,1)
A033967: 1 22 11 232 116 58 29 610 305 6406 3203 67264 33632 16816 8408 4204
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 1) * 2) + 1) * x) + 1))
A017003: 1 8589934592 8649755859375 584318301411328 12200509765705829 131621703842267136 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x) * (((2 + 1) * 2) + 1)),x,1)
A170932: 1 63 2205 56595 1188495 21630609 353299947 5299499205 74192988870 980996186170 12360551945742 149450309889426 1743586948709970 19715944727720430 216875392004924730 2327795874186192102
loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (((2 + 1) * 2) + 1)),x,1)
A140404: 1 42 1029 19208 302526 4235364 54353838 652246056 7419298887 80787921214 848273172747 8636963213424 85649885199788 830145041167176 7886377891088172 73606193650156272
loop(\(x,i).(((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x) * (((2 + 2) * 2) + 1)),x,1)
A173191: 1 63 2268 61236 1377810 27280638 491051484 8207574804 129269303163 1939039547445 27922169483208 388371993720984 5243021915233284 68965903654222428 886704475554288360 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) * 2) div (if i <= 0 then 1 else i)) + x) * (((2 + 2) * 2) + 1)),x,1)
A053108: 1 81 3645 120285 3247695 75996063 1595917323 30778405515 554011299270 9418192087590 152574711818958 2371843247367438 35577648710511570 517244277406668210 4611686018427387903
loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (((2 + 2) * 2) + 1)),x,1)
A173188: 1 54 1701 40824 826686 14880348 245525742 3788111448 55401129927 775615818978 10470813556203 137072468372112 1747673971744428 21778706417122872 266011342666286508 3192136111995438096
(if x <= 0 then 1 else ((loop(\(x,i).((x + 1) * 2),((x * 2) div (((x div 2) + 2) + 2)),1) + x) + 1))
A342791: 1 3 4 8 9 10 11 18 19 20 21 22 23 24 25 26
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - (((x * 2) * 2) * ((2 + 2) + 1))))),x,1)
A033966: 1 20 10 5 96 48 24 12 6 3 58 29 552 276 138 69
(loop(\(x,i).((x * 2) * 2),(x * 2),1) - loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),x,1))
A061252: 0 1 31 721 14911 289201 5386591 97576081 1732076671 30276117361 522861237151 8942430185041 151728638820031 2557404559011121 42864668012537311 715027614225987601
(((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,x) div ((2 + 2) + 1)) + x) + 1)
A145127: 1 3 9 25 61 132 259 470 801 1297 2013 3015 4381 6202 8583 11644
loop(\(x,i).((((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) + 1)),x,1)
A140520: 1 50 1375 27500 446875 6256250 78203125 893750000 9496093750 94960937500 902128906250 8201171875000 71760253906250 607202148437500 4987731933593750 39901855468750000
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) + 1)),x,1)
A173113: 1 55 1650 35750 625625 9384375 125125000 1519375000 17092968750 180425781250 1804257812500 17222460937500 157872558593750 1396564941406250 11970556640625000 99754638671875000
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) + 1)),x,1)
A140220: 1 40 900 15000 206250 2475000 26812500 268125000 2513671875 22343750000 189921875000 1553906250000 12301757812500 94628906250000 709716796875000 5204589843750000
(compr(\x.((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)) - 1) mod (2 + 1)),x) + 1)
A177965: 1 4 7 10 16 19 22 31 34 37 40 49 52 55 64 70
(((loop(\(x,i).(x * x),1,(loop(\(x,i).((x + 2) * 2),x,(2 + 2)) + 1)) div (2 + 1)) + x) + 1)
A304370: 9 58 283 1244 5213 21342 86367 347488 1394017 5584226 22353251 89445732 357848421 1431524710 5726360935 22905967976
(compr(\x.((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) + 1) mod (2 + 1)),x) + 1)
A026232: 3 6 7 9 12 15 16 18 19 21 24 25 27 30 33 34
loop(\(x,i).((((x div (if i <= 0 then 1 else (0 - i))) + ((x * 2) * (2 + 1))) * 2) * (2 + 1)),x,1)
A004994: 1 30 990 33660 1161270 40412196 1414426860 49707001080 1752171788070 61910069845140 2191616472517956 77702765843818440 2758448187455554620 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - ((((x * 2) * 2) * 2) * (2 + 1))))),x,1)
A033968: 1 24 12 6 3 70 35 806 403 9270 4635 106606 53303 1225970 612985 14098656
loop(\(x,i).(loop(\(x,i).(((x * 2) * (2 + 1)) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016248: 1 19 271 3511 43687 533575 6458887 77842567 936126343 11245609351 135019871623 1620673815943 19450697930119 233424047994247 2801182612927879 33614755577116039
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016260: 1 21 325 4485 58501 739461 9173125 112474245 1368864901 16579770501 200184379525 2412029622405 29022892013701 348902996523141 4191862297147525 50342558276728965
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016239: 1 18 247 3120 38221 462558 5570227 66940380 803772841 9647715498 115784793007 1389478551240 16674047790661 200090099366838 2401088821796587 28813104008531700
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016196: 1 22 364 5368 74416 992992 12915904 164990848 2079890176 25958682112 321504185344 3958050224128 48496602689536 591959232274432 7203510787293184 87442129447518208
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016184: 1 19 277 3667 46405 573667 7001653 84843379 1023885349 12326977795 148206208789 1780451832211 21379263273733 256648048295203 3080454802615285 36970205192893363
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016226: 1 16 197 2252 25113 277608 3059149 33672484 370484705 4075681280 44833892181 493178406396 5424984839977 59674922718232 656424507814493 7220671017615188
loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016174: 1 17 223 2669 30655 344981 3841447 42535853 469573999 5175391685 56989774711 627250318877 6901930289983 75934293883829 835355596886215 9189381750732941
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016187: 1 19 273 3515 42761 503139 5796673 65860555 741243321 8287894259 92240578673 1023236299995 11324318776681 125117262357379 1380687932442273 15222751628953835
loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),x,1)
A016165: 1 16 201 2336 26321 292656 3234841 35661376 392665761 4321276496 47543807081 523030706016 5753581906801 63290621677936 696202941972921 7658262879280256
loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A016244: 1 16 187 1942 19033 180628 1681639 15470674 141251605 1283357680 11622778531 105040363246 947975408017 8547451504972 77021100541663 693754126856458
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A016246: 1 17 213 2389 25445 263781 2693797 27273893 274754469 2759637925 27668938661 277124743077 2773859569573 27754268528549 277636722282405 2776931444805541
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A016241: 1 14 141 1246 10277 81270 624877 4710062 34985973 256995046 1871524733 13536029598 97364345989 697223254742 4974599780109 35386420442254
loop(\(x,i).(loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),i,1) + ((x * 2) * (2 + 1))),x,1)
A229702: 1 10 70 440 2675 16106 96720 580440 3482805 20897050 125382586 752295880 4513775735 27082654970 162495930500 974975583816
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A139744: 0 5 85 1115 13345 153275 1724905 19207235 212679265 2347869995 25876958425 284948873555 3136251594385 34509651449915 379671469419145 4176777984431075
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) div loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A094989: 1 1 3 6 11 20 37 69 127 233 428 786 1441 2643 4845 8884
loop(\(x,i).((loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016249: 1 16 185 1880 17841 162336 1435945 12448360 106312481 897579056 7510186905 62388376440 515255179921 4235078618176 34671889197065 282913935338120
loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016230: 1 13 122 1010 7851 58863 431572 3118660 22318901 158673713 1122923022 7921496310 55755649951 391815428563 2750337394472 19290508733960
loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016181: 1 17 219 2533 27731 294117 3058819 31411733 319882131 3239174917 32674224419 328719570933 3301036996531 33107258975717 331750812830019 3322255689810133
loop(\(x,i).((((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x) * 2) * (2 + 1)),x,1)
A173124: 1 66 2376 61776 1297296 23351328 373621248 5444195328 73496636928 930957401088 11171488813056 127964326404096 1407607590445056 14942295960109056 153692187018264576 1536921870182645760
loop(\(x,i).((((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2) * (2 + 1)),x,1)
A141407: 1 48 1296 25920 427680 6158592 80061696 960740352 10808328960 115288842240 1175946190848 11545653510144 109683708346368 1012465000120320 9112185001082880 80187228009529344
loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),(i - 1),1) - (((2 + 1) * x) * (2 + 1))),x,1)
A166157: 1 ~8 80 ~656 6416 ~53648 515600 ~4378256 41501456 ~356735888 3344840720 ~29029824656 269858356496 ~2360005731728 21789807399440 ~191710220083856
loop(\(x,i).(((2 + 2) + 1) * x),(x + 2),loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A192107: 25 1375 69375 3471875 173609375 8680546875 434027734375 21701388671875 1085069443359375 54253472216796875 2712673611083984375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A109241: 1 110 11100 1111000 111110000 11111100000 1111111000000 111111110000000 11111111100000000 1111111111000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(2 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) + 1))),x) - 1)
A111199: 1 2 5 7 8 11 13 16 20 22 23 25 26 32 35 37
loop(\(x,i).((x * 2) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1)),x,1)
A158499: 1 1 1 0 ~5 ~24 ~90 ~312 ~1053 ~3536 ~11934 ~40664 ~140114 ~488240 ~1719380 ~6113200
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1))
A008549: 0 1 6 29 130 562 2380 9949 41226 169766 695860 2842226 11576916 47050564 190876696 773201629
(loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1))
A000346: 1 5 22 93 386 1586 6476 26333 106762 431910 1744436 7036530 28354132 114159428 459312152 1846943453
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((((2 + 2) * 2) * 2) * 2) + 1) * x) + 1)),x,1)
A033972: 1 34 17 562 281 9274 4637 153022 76511 2524864 1262432 631216 315608 157804 78902 39451
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),x,loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1))
A091037: 1 144 17856 2156544 259117056 31102009344 3732432224256 447896453382144 53747684481171456 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 1)) - loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A261120: 2 17 134 989 7082 50057 351854 2467349 17284562 121031297 847337174 5931714509 41523064442 290664639737 2034662044094 14242663006469
(loop(\(x,i).((2 + 1) * x),(((x - 1) * x) div 2),1) * loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A203197: 1 4 39 1080 88209 21493836 15683355351 34309958505840 225130514549271201 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) + 1)
A046953: 6 11 13 16 20 21 24 26 27 31 34 35 36 37 41 46
(compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1))),x) + 1)
A335031: 1 2 3 4 6 7 10 11 12 14 15 19 20 22 24 26
(compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) - 1)),x) + 1)
A272902: 1 5 9 10 15 16 20 21 23 25 29 30 32 35 37 40
(compr(\x.(loop(\(x,i).(x * x),2,((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1)) mod (x + 1)),x) + 1)
A061345: 1 3 5 7 9 11 13 17 19 23 25 27 29 31 37 41
(compr(\x.(2 - ((loop(\(x,i).(x * 2),x,(if (x mod (2 + 1)) <= 0 then 1 else 2)) - 1) mod (x + 1))),x) + 1)
A179891: 4 6 8 9 12 14 15 16 18 20 21 24 25 26 27 28
(compr(\x.((loop(\(x,i).(x * x),1,loop(\(x,i).((x * x) * 2),(2 + 1),2)) - 1) mod (x + 1)),x) + 1)
A003538: 1 3 7 9 11 21 31 33 63 77 93 99 151 217 231 279
(compr(\x.(loop(\(x,i).loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1),2,1) mod (x + 1)),x) + 1)
A197318: 1 3 7 11 13 21 33 37 39 77 91 101 111 143 231 259
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x) + 1))
A025620: 1 4 9 16 36 64 81 144 256 324 576 729 1024 1296 2304 2916
(compr(\x.(loop(\(x,i).(((if (x mod (i + 1)) <= 0 then 0 else i) + 1) * x),(x div 2),1) mod (x + 1)),x) + 1)
A139118: 1 6 8 10 12 14 15 18 20 21 22 24 26 27 28 30
(compr(\x.((loop(\(x,i).(x * x),2,((2 + 2) * 2)) - loop(\(x,i).(x * 2),x,2)) mod (x + 1)),x) + 1)
A015937: 1 2 4 6 8 12 16 18 20 22 23 24 32 36 40 42
(compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else ((2 + 2) + 1))),x,x) + 1),x) - 1)
A173059: 0 1 3 6 7 10 12 13 15 18 21 22 25 27 28 31
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) + loop(\(x,i).(((2 + 1) * x) + 1),i,1)),x,1)
A016216: 1 15 178 1998 22099 243453 2679076 29473116 324214117 3566384811 39230321494 431533802154 4746872620855 52215601220889 574371620604232 6318087848169912
loop(\(x,i).(((x - 1) * x) div 2),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1))
A051789: 0 0 1 10 91 861 8646 91806 1021735 11817091 141044410 1727867505 21634392066 275949833550 3576313319580 46995004939590
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1))
A098597: 1 1 1 5 7 21 33 429 715 2431 4199 29393 52003 185725 334305 9694845
loop(\(x,i).((x - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1)) * 2),x,1)
A126966: 1 0 ~2 ~8 ~26 ~80 ~244 ~752 ~2362 ~7584 ~24892 ~83376 ~284324 ~984672 ~3455144 ~12259168
(compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod 2),x) + 1)
A138970: 2 5 6 9 11 12 15 17 20 23 24 25 28 29 32 34
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x) * ((2 + 2) * 2)),x,1)
A197321: 1 88 4224 146432 4100096 98402304 2099249152 40785412096 734137417728 12398765277184 198380244434944 3029807369551872 44437174753427456 628956934971588608 4611686018427387903 4611686018427387903
loop(\(x,i).((if ((x div 2) mod 2) <= 0 then (((x mod 2) * 2) + 1) else 0) + (((x * 2) * 2) * 2)),x,1)
A037601: 1 11 88 705 5643 45144 361153 2889227 23113816 184910529 1479284235 11834273880 94674191041 757393528331 6059148226648 48473185813185
loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(i - 1),1) - (((x * 2) * 2) * 2)),x,1)
A166153: 1 ~7 63 ~455 3983 ~29463 252511 ~1902439 16043055 ~122579639 1020990719 ~7885450503 65060930767 ~506646158935 4150058281887 ~32522243182247
loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + (((x * 2) * 2) * 2)),x,1)
A016256: 1 18 235 2700 28981 298278 2984095 29253600 282456361 2695498938 25486623955 239196683700 2231306698141 20710052641998 191416812647815 1762962024789000
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),x,1)
A016257: 1 19 263 3215 36831 405759 4357183 45968575 478859711 4941988799 50647021503 516287283135 5241409376191 53042386120639 535450200076223 5394712711720895
loop(\(x,i).(loop(\(x,i).((((x div 2) + x) + (x * 2)) * 2),i,1) + (((x * 2) * 2) * 2)),x,1)
A257288: 1 14 154 1526 14266 128534 1129114 9738806 82851706 697402454 5821341274 48265581686 397988613946 3266956634774 26716987140634 217805235562166
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A139746: 0 3 57 819 10545 128283 1509417 17390019 197581665 2223729963 24863682777 276721736019 3069708899985 33972956330043 375351787072137 4142063797326819
loop(\(x,i).((loop(\(x,i).((x * 2) * (2 + 1)),(i - 1),1) + x) - (((x * 2) * 2) * 2)),x,1)
A166152: 1 ~6 48 ~300 2316 ~14916 112188 ~738660 5450556 ~36474276 265397628 ~1797317220 12944017596 ~88431340836 632080079868 ~4346196394980
loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A016234: 1 15 166 1650 15631 144585 1320796 11984820 108351661 977606355 8810664226 79357013190 714518294491 6432190529325 57897344158456 521114244398760
loop(\(x,i).((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 2) * x) div 2) * 2),x,1)
A109664: 1 2 8 48 384 4608 64512 1161216 23224320 557383680 16721510400 535088332800 20333356646400 854000979148800 37576043082547200 1803650067962265600
loop(\(x,i).(((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 2) * (x + 2)) - 2),x,1)
A240804: 1 13 103 1153 15013 255253 4849843 111546433 3234846613 100280245063 3710369067403 152125131763603 6541380665835013 307444891294245703 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) * (2 + 1)) + (2 div (i + 1))),i,1) + ((x * 2) * 2)),x,1)
A080962: 1 11 86 596 3896 24656 153056 938816 5714816 34616576 209010176 1259303936 7576795136 45544656896 273603485696 1642963091456
(loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),x,(2 + 1)) + loop(\(x,i).((x * 2) * 2),x,1))
A334991: 4 58 988 17560 315184 5669728 102040768 1836676480 33059947264 595078133248 10711402728448 192805234432000 3470494161055744 62468894664122368 1124440103014678528 4611686018427387903
(((loop(\(x,i).((x * 2) * 2),(x - 2),x) * (x - 1)) div 2) + loop(\(x,i).((x * 2) * 2),x,1))
A081910: 1 4 17 76 352 1664 7936 37888 180224 851968 3997696 18612224 85983232 394264576 1795162112 8120172544
loop(\(x,i).((loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),i,1) + x) + ((x * 2) * 2)),x,1)
A097790: 1 9 55 295 1510 7606 38114 190690 953615 4768295 23841761 119209169 596046300 2980232060 14901160980 74505805716
loop(\(x,i).((loop(\(x,i).(((x - (x div (0 - 2))) * 2) + 1),i,2) + x) + ((x * 2) * 2)),x,1)
A102105: 1 12 83 486 2645 13872 71303 362346 1829225 9198612 46150523 231225006 1157542205 5791962552 28972567343 144901100466
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + ((x * 2) * 2)),x,1)
A020920: 1 18 198 1716 12870 87516 554268 3325608 19122246 106234700 573667380 3024791640 15628090140 79342611480 396713057400 1957117749840
(if x <= 0 then (x * 2) else loop(\(x,i).(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) - 2),x,1))
A052463: 0 47 2301 112747 5524601 270705447 13264566901 649963778147 31848225129201 1560563031330847 76467588535211501 3746911838225363547 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) + 1) * (2 + 1)) + x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A171148: 7 313 30103 3001003 300010003 30000100003 3000001000003 300000010000003 30000000100000003 3000000001000000003 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A245807: 2 17 149 1343 12401 116807 1117649 10823543 105764801 1040353607 10282475249 101977326743 1013841287201 10096889010407 100678223072849 1004747561509943
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016190: 1 20 301 4040 51001 620060 7352101 85656080 985263601 11225320100 126965305501 1427999420120 15990423157801 178436520564140 1985678518660501 22048354837360160
(2 - loop(\(x,i).((((x - loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,2)) * 2) + x) + 2),x,1))
A058482: 1 25 265 2161 16081 115465 816985 5745121 40294561 282298105 1976795305 13839692881 96884227441 678208723945 4747518463225 33232801429441
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - x) - 1)
A182174: 3 7 22 45 116 163 282 353 520 831 950 1357 1668 1835 2194 2793
(loop(\(x,i).(((x div 2) mod 2) * x),2,compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + 1)
A163366: 1 1 4 1 1 12 16 1 1 28 1 36 40 1 1 52
loop(\(x,i).((x * x) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A270775: 2 12 80 252 1100 1872 4352 6156 11132 22736 27900 47952 65600 75852 99452 143312
loop(\(x,i).(x div ((x mod 2) - 2)),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A236965: 1 1 1 3 5 3 4 9 11 7 15 9 10 21 23 13
loop(\(x,i).(x div (2 - (x mod 2))),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A057023: 1 1 1 3 5 3 1 9 11 7 15 9 5 21 23 13
((if ((x div (2 + 2)) - 1) <= 0 then x else compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + 1)
A240963: 1 2 3 4 5 6 7 8 22
A053408: 1 2 3 4 5 6 7 8 22 28
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((i * 2) + 1) * x),(x div 2),1)) mod (((x + 2) * x) + 1))
A265694: 0 2 3 8 15 12 7 0 54 40 110 0 104 84 0 0
(loop(\(x,i).((2 + 1) * x),((((x * x) div (2 + 2)) + x) - 1),1) - (if (x - 2) <= 0 then x else 1))
A326223: 1 0 7 80 2186
(loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1) * loop(\(x,i).(1 - (x * 2)),x,1))
A200375: 1 1 6 25 154 882 5676 36465 244530 1657942 11471668 80242890 568080772 4056976900 29212908120 211783889025
loop(\(x,i).((((x * x) div (2 + 2)) * (x - 1)) * ((x * 2) - 1)),1,loop(\(x,i).(x * 2),x,1))
A160877: 0 3 84 1680 29760
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + ((2 + 1) * 2)) + loop(\(x,i).(x * 2),x,1))
A183980: 9 11 14 20 30 50 86 158 294 566 1094 2150 4230 8390 16646 33158
(((loop(\(x,i).((x * 2) * (x + 1)),(x + 1),(2 + 1)) div 2) div 2) div loop(\(x,i).(x * 2),x,1))
A261066: 6 150 180150 519264540150 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x - ((((x mod 2) - (x * 2)) * 2) - 1)),i,1) + x) + (x * 2)),x,1)
A200864: 1 7 42 230 1211 6237 31732 160300 806421 4046867 20278622 101525970 508028431 2541337897 12710276712 63562145240
loop(\(x,i).((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2) + x) + (x * 2)),x,1)
A132310: 1 5 21 83 319 1209 4551 17085 64125 240995 907741 3428655 12990121 49370963 188229489 719805987
loop(\(x,i).((((((((2 + 2) * (2 + 1)) - 1) * x) div (if i <= 0 then 1 else i)) + x) + x) * 2),x,1)
A020924: 1 26 390 4420 41990 352716 2704156 19315400 130378950 840219900 5209363380 31256180280 182327718300 1037865473400 5782393351800 31610416989840
loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1))
A246860: 1 3 15 105 903 8778 92235 1023165 11821953 141061206 1727926291 21634600078 275950576450 3576315994020 46995014634435 625082431593285
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1))
A342906: 0 2 11 50 214 892 3667 14954 60674 245348 989790 3986292 16034316 64434424 258740611 1038384154
(loop(\(x,i).(i * x),x,(x + 1)) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1))
A056986: 0 0 1 10 78 588 4611 38890 358018 3612004 39858014 478793588 6226277900 87175616760 1307664673155 20922754530330
((loop(\(x,i).(((x * 2) * 2) * 2),(if (x - ((2 + 1) * 2)) <= 0 then 1 else 2),1) + 1) * (x + 1))
A020336: 9 18 27 36 45 54 63 520 585 650 715 780 845 910 975 1040
loop(\(x,i).(((loop(\(x,i).(x * 2),x,1) div (2 + 1)) - ((x div (2 + 1)) mod 2)) + 1),1,(x + 1))
A081374: 1 2 2 5 10 22 43 86 170 341 682 1366 2731 5462 10922 21845
compr(\x.(((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),x) + 1) mod (2 + 1)) - 1),(x + 1))
A045410: 3 5 11 17 23 29 41 47 53 59 71 83 89 101 107 113
(loop(\(x,i).((x + 1) * 2),(2 - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))),1) * (x + 1))
A095208: 10 20 30 4 50 6 70 8 9 10 110 12 130 14 15 16
(loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),(x + 1),1) mod (x + 1))
A133620: 0 0 1 1 3 4 2 6 2 6 1 2 1 10 5 7
loop(\(x,i).loop(\(x,i).((((i * 2) - 1) * i) * x),x,1),1,((((2 + 1) * 2) + 1) * (x + 1)))
A172709-A172604: 681080400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(1 - ((x mod ((loop(\(x,i).(x * 2),x,(2 + 1)) mod (x + 1)) + 2)) div 2)),1,(x + 1))
A123230: 1 1 1 ~1 1 1 1 0 1 1 1 0 ~1 1 1 1
compr(\x.((1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)) mod ((2 + 2) + 1)),(x + 1))
A327346-A030430: 11 31 41 61 71 101 131 151 181 191 211 241 251 271 281 311
((loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(i + 1)) + x),x,1) div (2 + 1)) + (x + 1))
A100605: 1 2 4 10 26
A154322: 1 2 4 10 26 62 133 260 471 802 1298 2014 3016 4382 6203 8584
(((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) * ((x + 2) + 1)) div (x + 1))
A250480: 0 2 3 1 5 1 7 1 2 1 11 1 13 1 2 1
(((x mod (1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)))) + 1) mod (x + 1))
A258850: 0 0 1 0 0 2 0 0 1 3 0 0 0 2 4 0
(loop(\(x,i).(x * 2),((loop(\(x,i).(((2 + 1) * x) - 1),x,2) mod (x + 1)) + x),1) mod (x + 1))
A073816: 0 0 1 0 4 4 4 0 2 4 4 4 4 8 1 0
(loop(\(x,i).(x * x),2,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (x + 1))
A186416: 1 2 48 2500 192080 18670176 2125170432 270968717448 37634544090000 5588044012339360 875419364366134016 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (if i <= 0 then 2 else ((i + 1) div 2))),x,1) div (x + 1))
A151379: 1 1 4 15 84 420 2640 15015 100100 612612 4232592 27159132 192203088 1274816400 9178678080 62386327575
((loop(\(x,i).(x * 2),(x mod ((2 - (x mod 2)) * 2)),2) + loop(\(x,i).(x * 2),x,1)) + (x + 1))
A104101: 4 8 15 16 23 42
(loop(\(x,i).(x * x),1,loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1)) * (x + 1))
A145600: 1 8 75 784 8820 104544 1288287 16359200 212751396 2821056160 38013731756 519227905728 7174705330000 100136810390400 1409850293610375 20002637245262400
(loop(\(x,i).(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),(i - 1),1) - x),x,1) * (x + 1))
A135799: 1 0 0 4 5 48 252 1832 14625 132080 1323168 14576076 175108661 2278429216 31920719820 479088848976
(loop(\(x,i).(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1) - (i * x)),x,1) * (x + 1))
A002747: 1 ~2 9 ~28 185 ~846 7777 ~47384 559953 ~4264570 61594841 ~562923252 9608795209 ~102452031878 2017846993905 ~24588487650736
(x - loop(\(x,i).(x - loop(\(x,i).(x * 2),(((x - 2) div ((x div 2) + 2)) + 1),1)),2,(x + 1)))
A076272: 1 2 2 3 3 3 5 5 5 5 7 7 7 7 7 7
(((loop(\(x,i).(i * x),(x * 2),loop(\(x,i).((i + 1) * x),x,(x + 1))) + 1) * 2) div (x + 1))
A109103: 4 9 288 34560
(((loop(\(x,i).((x * x) + 1),1,loop(\(x,i).((x + 1) * 2),x,0)) * (2 + 1)) * 2) mod (x + 1))
A281662: 0 0 0 2 1 0 6 6 6 0 6 6 6 2 12 14
(((loop(\(x,i).loop(\(x,i).(x * x),1,(((2 + 1) * x) + 2)),2,1) * (x + 1)) + 2) * (x + 1))
A031755: 5931 23720 53367 94872 148235 213456 290535 379472 480267 592920 717431 853800 1002027 1162112 1334055 1517856
(((if x <= 0 then 1 else (loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) + 2)) * 2) * (x + 1))
A112850: 2 32 132 576 2540 11112 48076 205952 875196 3695160 15519548 64899792 270415652 1123264856 4653525660 19234572544
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2)),(x + 1))
A153348: 2 3 6 7 9 12 15 16 17 18 20 21 22 23 24 25
(if x <= 0 then 1 else (loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) - (2 div (x + 1))))
A267889: 1 110 11111 1111111 111111111 11111111111 1111111111111 111111111111111 11111111111111111 1111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2)),(x + 1))
A153403: 3 6 9 12 13 14 15 18 20 21 24 25 27 30 32 33
(((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * 2) * (x + 1))
A069895: 2 8 6 24 10 24 14 64 18 40 22 72 26 56 30 160
(loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),2) div (x + 1))
A157132: 2 3 40 1260 7983360 1037836800 50812489728000 15205637551104000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (x + 1))
A178211: 0 1 1 1 1 1 2 1 7 1 4 1 4 1 4 9
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),x,2) * (x + 1))
A167214: 2 10 30 68 140 246 406 616 900 1290 1760 2364 3094 3934 4920 6096
((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),(x div 2),(x mod 2))) div (x + 1))
A046211: 1 1 3 6 16 39 104 270 729 1960 5368 14742 40880 113828 318864 896670
((loop(\(x,i).((x * 2) * 2),(x div 2),(2 + 1)) + loop(\(x,i).((2 + 1) * x),x,2)) * (x + 1))
A097574: 5 18 90 264
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) mod loop(\(x,i).(x * x),2,(x + 1)))
A099908: 0 3 10 35 126 462 1716 2339 4627 2378 1332 4238 2198 5148 1260 57635
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + loop(\(x,i).(x * x),2,(x + 1)))
A089621: 3 19 86 263 636 1309 2418 4115 6584 10029 14672 20773 28602 38459 50672 65589
loop(\(x,i).(1 - (((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) * (x + 1)) mod (2 + 1))),x,(x + 1))
A016055-A015923-A015527-A015263-A015131-A011640: 1 1 0 ~1 ~1 0 1 1 0 ~1 ~1 ~1 0 1 1 0
(loop(\(x,i).(if x <= 0 then 2 else (((((x + 2) * x) + (x mod (2 + 1))) * x) div 2)),2,x) + (x + 1))
A056684: 11 12 608
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1))
A023200-A015913: 3 7 13 19 37 43 67 79 97 103 109 127 163 193 223 229
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1))
A029710: 7 13 19 37 43 67 79 97 103 109 127 163 193 223 229 277
compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div (2 + 1)),((x + 2) * x))),(x + 1))
A124588-A063091: 2 3 5 11 17 29 41 59 71 101 107 137 149 179 191 197
(if (x mod (((x mod (2 + 2)) + 2) + 1)) <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A161825: 1 1 3 1 5 3 7 1 9 5 1 3 1 7 15 1
loop(\(x,i).(((2 + 2) * (x - 1)) div (x + 2)),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A335884-A325033: 0 0 1 0 2 1 2 0 2 2 3 1 3 2 3 0
(loop(\(x,i).((i * x) - loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1)),x,x) * (x + 1))
A193465: 0 2 9 52 335 2466 20447 189064 1930959 21603430 262869959 3457226268 48880169351 739429561066 11918051268255 203914545928336
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (((x div 2) * x) mod 2))))),x,x) + x) mod (x + 1))
A285099: 0 0 0 1 0 2 2 1 0 3 3 1 3 2 2 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + loop(\(x,i).(i * x),x,(x + 1)))
A121926: 3 5 11 31 131 733 5057 40339 362903 3628829 39916831 479001637 6227020841 87178291243 1307674368047 20922789888053
loop(\(x,i).loop(\(x,i).((((((i mod 2) * 2) - 1) * i) + x) + ((i + 1) * x)),x,0),1,(x - 1))
A161130: 0 0 1 2 13 74 523 4178 37609 376082 4136911 49642922 645357997 9035011946 135525179203 2168402867234
loop(\(x,i).(x div (2 - (x mod 2))),(2 + 2),((((if (x mod 2) <= 0 then x else 1) + x) * 2) * (x - 1)))
A185138: 0 0 1 1 3 3 15 6 14 10 45 15 33 21 91 28
(((if x <= 0 then 2 else loop(\(x,i).(((((i div 2) + 2) * (i div 2)) + x) + 1),x,1)) + x) + (x - 1))
A316261: 1 3 9 15 26 37 55 73 100 127 165 203 254 305 371 437
loop(\(x,i).(x * 2),(x - ((x mod 2) * 2)),loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),x,1))
A157027: 1 13 676 4394 456976 2970344 308915776 2007952544 208827064576 1357375919744 141167095653376 917586121746944 95428956661682176 620288218300934144 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (((2 + 1) * 2) + 1)),x,loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A094993: 1 1 2 3 6 9 15 23 37 58 91 144 226 356 559 879
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A248341: 0 3 51 657 7599 83193 882351 9176457 94235199 959646393 9717524751 98022673257 986158712799 9903110989593 99321776927151 995252438490057
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A139737: 0 3 2 314 396 15965 58808 117484 1998383 31513432 113366285 1133662850 3427321528 20431928079 301208291197 3012082911970
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A139743: 0 6 96 1206 14016 157926 1755936 19409046 213968256 2355994566 25927658976 285262842486 3138184236096 34521491440806 379743730067616 4177217651837526
((((loop(\(x,i).(x * 2),x,1) + 2) + 1) * ((2 + 2) + 1)) + loop(\(x,i).((2 + 1) * x),x,1))
A254368: 21 28 44 82 176 418 1064 2842 7856 22258 64184 187402 551936 1635298 4864904 14512762
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) + loop(\(x,i).((2 + 1) * x),x,1))
A191993: 2 6 19 62 207 705 2445 8622 30871 112061 411765 1529225 5731741 21652623 82341729 314889102
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) div loop(\(x,i).(((2 + 2) - (i mod (2 + 1))) * x),x,1))
A076738: 1 2 6 9 18 54 81 162 486 729 1458 4374 6561 13122 39366 59049
loop(\(x,i).(loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) - 1)) * (2 + 1)),i,1) + x),x,1)
A112697: 1 4 22 157 1291 11497 107725 1045948 10428178 106126924 1097913928 11511677470 122057782762 1306480339462 14098243951822 153208673236237
loop(\(x,i).(loop(\(x,i).(((((x * 2) * 2) * 2) * ((i * 2) - 1)) div (i + 1)),i,1) + x),x,1)
A112698: 1 5 37 357 3941 46949 587621 7616357 101332837 1375876965 18987759461 265554114405 3755416368997 53610591434597 771525112379237 11181285666076517
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)),(i - 1),2) - x),x,1)
A064062: 1 1 3 13 67 381 2307 14589 95235 636925 4341763 30056445 210731011 1493303293 10678370307 76957679613
loop(\(x,i).(((((loop(\(x,i).(x * 2),x,1) + 1) mod (((2 + 1) * x) + 1)) mod 2) + 2) + x),x,1)
A231407: 1 4 6
A134779: 1 4 6 8 11 14 16 18 21 24 27 30 33 36 38 40
(compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 2) * 2) + x)),x) + 1)
A241572: 2 4 5 8 9 11 14 16 17 19 20 23 24 26 29 30
loop(\(x,i).((if (x mod (2 + 2)) <= 0 then ((((x * x) + 1) * (2 + 1)) * (2 + 1)) else x) + x),x,1)
A018558: 1 2 4 157 314 628
loop(\(x,i).((if (x mod (i + 1)) <= 0 then (((((x + 2) * x) * 2) + (x mod 2)) + 1) else x) + x),x,1)
A018337: 1 2 4 53 106 212
loop(\(x,i).((((((x * 2) * 2) * 2) * (((2 + 1) * 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017720: 1 57 1653 32509 487635 5949147 61474519 553270671 4426165368 31966749880 210980549208 1285063345176 7282025622664 38650751381832 193253756909160 914734449370024
loop(\(x,i).((((((2 + 2) + 1) * x) * (((2 + 1) * 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010988: 1 36 666 8436 82251 658008 4496388 26978328 145008513 708930508 3190187286 13340783196 52251400851 192928249296 675248872536 2250829575120
loop(\(x,i).(((((x * 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017718: 1 55 1540 29260 424270 5006386 50063860 436270780 3381098545 23667689815 151473214816 895068996640 4922879481520 25371763481680 123234279768160 566877686933536
loop(\(x,i).((((((x * 2) * 2) * 2) * (((2 + 2) * 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017736: 1 73 2701 67525 1282975 19757815 256851595 2898753715 28987537150 260887834350 2139280241670 16141841823510 112992892764570 738799683460650 4538340912686850 26322377293583730
loop(\(x,i).((((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010998: 1 46 1081 17296 211876 2118760 18009460 133784560 886322710 5317936260 29248649430 148902215280 707285522580 3155581562280 13298522298180 53194089192720
loop(\(x,i).((((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017724: 1 61 1891 39711 635376 8259888 90858768 869648208 7392009768 56672074888 396704524216 2560547383576 15363284301456 86270750308176 456002537343216 2280012686716080
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017714: 1 51 1326 23426 316251 3478761 32468436 264385836 1916797311 12565671261 75394027566 418094152866 2160153123141 10468434365991 47855699958816 207374699821536
loop(\(x,i).(((((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A010992: 1 40 820 11480 123410 1086008 8145060 53524680 314457495 1677106640 8217822536 37353738800 158753389900 635013559600 2403979904200 8654327655120
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017715: 1 52 1378 24804 341055 3819816 36288252 300674088 2217471399 14783142660 90177170226 508271323092 2668424446233 13136858812224 60992558771040 268367258592576
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * (2 + 2)) div (if i <= 0 then 1 else i)) + x),x,1)
A017732: 1 69 2415 57155 1028790 15020334 185250786 1984829850 18855883575 161322559475 1258315963905 9036996468045 60246643120300 375382930211100 2198671448379300 12165982014365460
loop(\(x,i).((((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A010999: 1 47 1128 18424 230300 2349060 20358520 154143080 1040465790 6358402050 35607051480 184509266760 891794789340 4047376351620 17345898649800 70539987842520
loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A017730: 1 67 2278 52394 916895 13019909 156238908 1629348612 15071474661 125595622175 954526728530 6681687099710 43430966148115 263926640438545 1508152231077400 8144022047817960
loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1)
A017726: 1 63 2016 43680 720720 9657648 109453344 1078897248 9440350920 74473879480 536211932256 3558497368608 21944067106416 126600387152400 687259244541600 3527930788646880
loop(\(x,i).(((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x) div (if i <= 0 then 1 else i)) - x),x,1)
A010952: 1 36 630 7140 58905 376992 1947792 8347680 30260340 94143280 254186856 600805296 1251677700 2310789600 3796297200 5567902560
loop(\(x,i).((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A017713: 1 50 1275 22100 292825 3162510 28989675 231917400 1652411475 10648873950 62828356305 342700125300 1742058970275 8308281242850 37387265592825 159518999862720
loop(\(x,i).((((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x) div (if i <= 0 then 1 else i)) + x),x,1)
A011000: 1 48 1176 19600 249900 2598960 22957480 177100560 1217566350 7575968400 43183019880 227692286640 1119487075980 5166863427600 22512762077400 93052749919920
loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i - 1),1) + (i * x)),x,1)
A221957: 1 2 7 31 159 921 5988 43632 355491 3223729 32329668 355979064 4273100846 55555511298 777797216472 11667035805840
loop(\(x,i).((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * i) * i) * x),x,1)
A330087: 1 2 24 1080 120960 33264000 15567552000 12967770816000 15768809312256000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (2 + 2)) <= 0 then 0 else ((x + 1) mod ((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)))
A064287: 0 0 1 0 0 0 1 0 0 2 1 0 0 0 3 0
(loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,loop(\(x,i).((x * 2) + 1),x,0)) - 2)
A098940: ~2 ~1 2185 823541 170859373 27512614109 3938980639165 532875860165501 70110209207109373 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 2 else ((loop(\(x,i).(x * 2),((x * 2) - 1),1) mod ((x div (2 + 1)) + 1)) + 1)) div 2)
A029416: 1 0 0 0 0 0 1 1 1 0 0 0 2 1 2 1
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(((x div 2) + x) * 2),x,(((2 + 1) * 2) + 1)) - 1)) div 2)
A321002: 3 19 118 716 4312 25904 155488 933056 5598592 33592064 201553408 1209322496 7255939072 43535642624 261213872128 1567283265536
((if (x mod ((2 + 2) + 1)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * ((2 + 2) + 1)) else 1) * 2)
A040894: 30 2 2 2 2 60 2 2 2 2 60 2 2 2 2 60
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017652: 1000000000000 12855002631049216 2386420683693101056 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017555: 2048 4049565169664 3670344486987776 238572050223552512 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 0) + x),2,x) + x) * (2 + 1)) + 1) div 2)
A328168: 3 6 9 12 15 18 21 24 27 30 33 35 36 39 42 45
(2 - (if x <= 0 then 1 else ((0 - (x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1))) div 2)))
A336500: 1 2 2 3 2 2 2 4 3 2 2 4 2 2 2 5
(if (x - 1) <= 0 then (x * 2) else (if (((((x mod 2) + 1) * 2) * 2) mod ((x div 2) + 1)) <= 0 then 1 else 2))
A206498: 0 2 1 1 2 2 1 1 2 2 2 2 2 2 2 1
(((if (x - 1) <= 0 then 1 else loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1)) + 1) div 2)
A301749: 1 1 5 18 63 231 858
((loop(\(x,i).(((x div ((if (x mod 2) <= 0 then (2 + 2) else 1) + 1)) + 1) + (x * 2)),x,1) + 1) div 2)
A090245: 1 2 4 9 20 45 112
((loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * 2),x,1) + 1) div 2)
A082141: 1 8 72 480 2640 12672 54912 219648 823680 2928640 9957376 32587776 103194624 317521920 952565760 2794192896
(loop(\(x,i).((x + 2) * x),1,((loop(\(x,i).(((x + 2) * x) + 1),2,2) * (x + 1)) + 1)) div 2)
A157511: 5201 20401 45601 80801 126001 181201 246401 321601 406801 502001 607201 722401 847601 982801 1128001 1283201
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) * (x + 1)) - 1) * 2))
A017147: 362797056 4049565169664 584318301411328 17714700000000000 238572050223552512 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),i,2) - 1) - x),(x + 1),1) div 2)
A154808: 31 992 31775 1016800 32537631 1041204192 33318534175 1066193093600 34118178995231 1091781727847392 34937015291116575 1117984489315730400 4611686018427387903 4611686018427387903 4611686018427387903
(1 - ((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((i * i) * x) * (2 + 1)),(x - 1),1)) div 2))
A129892: 1 1 1 15 479
(loop(\(x,i).(x * 2),x,(loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),x,1) + 1)) div 2)
A272690: 1 24 1060 48672 2238736 102981504 4737148480 217908828672 10023806116096 461095081334784 21210373741388800 975677192103862272 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (((x + 2) + 1) mod (if x <= 0 then 1 else (((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) + 1) * 2))))
A206913: 0 1 1 3 3 5 5 7 7 9 9 9 9 9 9 15
((((if x <= 0 then 2 else ((x + 1) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1))) div 2) + 1) div 2)
A280749: 1 0 1 0 1 0 0 0 1 0 1 0 2 0 0 0
(((loop(\(x,i).((x + 1) * x),1,((loop(\(x,i).(i * x),x,1) div (2 + 1)) + 1)) div 2) + 1) div 2)
A133338: 1 1 1 3 23 431
((((if x <= 0 then 2 else ((loop(\(x,i).((x * 2) - 1),x,0) mod ((x div 2) + 1)) + 1)) div 2) + 1) div 2)
A116664: 1 0 1 1 0 1 1 1 0 1 1 2 0 2 1 1
(((((if ((if x <= 0 then 1 else x) mod (2 + 1)) <= 0 then 2 else 1) + (x mod ((2 + 2) + 1))) div 2) + 1) div 2)
A059282: 0 1 1 1 1 0 1 1 1 2 0 1 1 1 1 1
((loop(\(x,i).((2 + 1) * x),(x - 1),1) - loop(\(x,i).((2 + 1) * x),((x - 1) div 2),1)) div 2)
A167993: 0 0 1 3 12 36 117 351 1080 3240 9801 29403 88452 265356 796797 2390391
(if x <= 0 then 1 else (((x div ((if (((x + 1) div 2) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + 2)) + 1) * 2))
A287654: 1 2 2 2 4 4 4 4 6 8 8 6 8 8 8 8
((loop(\(x,i).(x * x),1,(if x <= 0 then 1 else ((1 - (((x div 2) div (0 - 2)) div 2)) * 2))) + 1) div 2)
A137575: 1 2 8 8 8 8 8 8 8 8 18 18 18 18 18 18
(((((loop(\(x,i).(x * x),1,(loop(\(x,i).((i - 1) - x),x,2) + 1)) div 2) div 2) div 2) + 1) div 2)
A029188: 1 0 1 0 2 0 2 0 3 1 4 1 5 2 6 2
(if (x mod ((2 + 2) + 1)) <= 0 then ((x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) + 1) else 2)
A063982: 1 2 2 2 2 1 2 2 2 2 4 2 2 2 2 2
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) div ((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) * 2))
A152418: 0 3 3 171 150 8403 7353 411771 360300 20176803 17654703 988663371 865080450 48444505203 42388942053 2373780754971
(loop(\(x,i).((x * 2) * 2),(x * 2),((loop(\(x,i).((2 + 1) * x),(x * 2),2) * 2) + 1)) * 2)
A233252: 10 1184 166400 23896064 3439984640 495341010944 71328837140480 10271348253261824 1479074079750225920 4611686018427387903 4611686018427387903 4611686018427387903
(1 - ((((if x <= 0 then 2 else (x - (loop(\(x,i).(i * x),x,1) mod (x + 1)))) mod (2 + 2)) + 1) div 2))
A334090: 0 1 1 0 1 0 1 ~1 1 0 1 ~1 1 0 0 ~1
((((loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,x) + x) + 2) * ((2 + 2) + 1)) div 2)
A182340: 5 10 15 20 25 30 32 35 40 45 50 55 60 65 70 75
((loop(\(x,i).(((2 + 1) * x) - 1),x,1) - loop(\(x,i).(x * 2),x,1)) mod (((2 + 2) + 1) * 2))
A021610: 0 0 1 6 5 0 1 6 5 0 1 6 5 0 1 6
(loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1) mod loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)))
A216128: 6 36 216 1296 7776 6656 9936 9616 7696 6176 7056 2336 4016 4096 4576 7456
(compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + (((2 + 2) + 1) * 2))
A153041: 10 14 17 20 22 23 26 27 29 32 34 35 37 38 41 42
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (((2 + 2) + 1) * 2))
A098605: 10 11 12 14 15 17 18 20 23 24 27 29 30 32 35 38
((x + 2) div (((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) * (2 + 1)) + 2))
A316432: 1 0 0 1 0 1 0 1 1 2 0 2 0 3 2 3
(((loop(\(x,i).(loop(\(x,i).(((2 + 2) * 2) div (x + 1)),2,i) + x),x,2) - 1) * (2 + 1)) - 2)
A073121: 1 4 10 16 28 40 52 64 88 112 136 160 184 208 232 256
(if x <= 0 then 1 else ((((2 + 1) * x) - (((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1))) * 2))
A315361: 1 6 10 18 22 26 36 38 42 54 54 58 72 70 74 90
(loop(\(x,i).(x * x),(x - 2),loop(\(x,i).((2 + 1) * x),((x + 2) * (x + 1)),(2 + 1))) div 2)
A076481: 13 1093 797161 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),(x + 1)) * (2 + 1)) div 2)
A231407: 1 4 6
A137821: 1 4 6 13 15 18 19 40 42 45 46 54 55 58 60 121
(((loop(\(x,i).((x + 1) * x),1,(2 - (if (x mod (2 + 1)) <= 0 then x else 0))) div 2) div (2 + 1)) div 2)
A046777: 0 0 0 0 0 0 1 0 0 3 0 0 7 0 0 13
(if x <= 0 then 1 else (((((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2) * 2) div (2 + 1)) + 2))
A324538: 1 2 2 2 2 3 2 2 2 4 2 5 2 6 4 2
(((loop(\(x,i).((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 2),2,x) div 2) * (2 + 1)) div 2)
A214635: 1 1 1 1 3 1 1 1 3 3 1 1 4 1 3 1
(if x <= 0 then 1 else (((x * 2) - ((1 - (if ((x div 2) - 2) <= 0 then x else (x + 2))) div (2 + 1))) * 2))
A310379: 1 4 10 14 18 24 30 34 38 44 48 52 58 62 66 72
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(((x * 2) * (2 + 1)) + 2))
A031380: 7 29 53 79 107 139 173 199 239 271 311 349 383 421 457 491
((if x <= 0 then 1 else (loop(\(x,i).((0 - x) * 2),x,((2 + 1) * 2)) mod (x + 1))) mod ((2 + 1) * 2))
A263145: 1 0 0 0 1 0 0 0 0 2 0 0 0 2 3 0
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017195: 2048 285311670611 204800000000000 12200509765705829 238572050223552512 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * (2 + 1)) div 2)
A094603: 1 3 1 4 1 3 1 6 1 3 1 4 1 3 1 7
(loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 2) * x),x,(2 + 1)) + 2)
A240803: 5 17 107 1157 15017 255257 4849847 111546437 3234846617 100280245067 3710369067407 152125131763607 6541380665835017 307444891294245707 4611686018427387903 4611686018427387903
(loop(\(x,i).((i div 2) + x),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2),1) - 2)
A074367: 1 5 11 29 41 71 89 131 209 239 341 419 461 551 701 869
(if x <= 0 then (x - 1) else loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),((x * 2) - 1),2))
A024491: ~1 2 10 84 858 9724 117572 1485800 19389690 259289580 3534526380 48932534040 686119227300 9723892802904 139067101832008 2004484433302736
((loop(\(x,i).(((2 + 2) + 1) * x),(x * 2),1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) div 2)
A081421: 1 17 353 8177 198593 4912337 122336033 3054149297 76315468673 1907542343057 47685459212513 1192108586037617 29802463602463553 745059330625296977 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) div 2)
A081190: 1 8 65 536 4481 37928 324545 2803256 24405761 213887048 1884629825 16679193176 148135411841 1319377419368 11777507763905 105319346802296
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017303: 2048 743008370688 584318301411328 36028797018963968 717368321110468608 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),loop(\(x,i).(((2 + 1) * x) + 2),((x - 1) div (2 + 1)),x),1) + 2)
A108259: 3 5 11 29 4782971
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A152105: 1 8 68 608 5648 53888 523328 5139968 50839808 505038848 5030233088 50181398528 501088391168 5006530347008 50039182082048 500235092492288
((compr(\x.(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 1)),(x + 1),x) mod (2 + 1)),x) + 1) * 2)
A342192: 6 10 14 22 26 34 38 46 58 62 74 82 86 94 100 106
((loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,1) + loop(\(x,i).(((2 + 1) * x) - 1),x,1)) div 2)
A001998: 1 2 4 10 25 70 196 574 1681 5002 14884 44530 133225 399310 1196836 3589414
(((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),(x - 1),x)) - 1) * 2)
A208902: 2 6 14 34 78 182 414 942 2110 4702 10366 22718 49406 106878 229886 492286
((if (x mod (((2 + 1) * 2) + 1)) <= 0 then (((2 - (x mod 2)) + 1) * (if x <= 0 then 1 else x)) else 1) div 2)
A340980: 1 0 0 0 0 0 0 7 0 0 0 0 0 0 21 0
(loop(\(x,i).((x * 2) - (loop(\(x,i).(x - (x div ((2 + 2) * 2))),2,(x - 1)) div 2)),x,1) div 2)
A173714: 0 1 2 3 5 9 14 23 38 61 99 161 260 421 682 1103
((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) div 2)
A163165: 1 10 104 1120 12416 140800 1624064 18964480 223379456 2646999040 31495553024 375799152640 4492409962496 53771480596480 644158255529984 7721102973337600
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) div 2)
A081191: 1 9 82 756 7048 66384 631072 6048576 58388608 567108864 5536870912
A060531: 1 9 82 756 7048 66384 631072 6048576 58388608 567108864 5536870912 54294967296 534359738368 5274877906944 52199023255552 517592186044416
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1)) div 2)
A081203: 0 1 18 244 2952 33616 368928 3951424 41611392 432891136 4463129088 45705032704 465640261632 4725122093056 47800976744448 482407813955584
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) mod ((if ((2 - x) + 2) <= 0 then x else 1) * 2))
A179437: 0 1 1 1 1 1 3 3 5 9 9 13 15 15 17 21
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) + 2))),x) + 1) * 2)
A059793: 2 4 8 12 20 28 32 40 48 52 72 80 108 112 132 148
((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) + loop(\(x,i).(x * 2),x,1)) div 2)
A005317: 1 2 5 14 43 142 494 1780 6563 24566 92890 353740 1354126 5204396 20066492 77575144
((loop(\(x,i).(1 - x),x,(if ((x + 2) mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else 2)) mod (x + 1)) + 2)
A088491: 2 3 4 5 3 7 4 9 3 11 3 13 3 15 4 17
(compr(\x.(x - loop(\(x,i).(x * x),2,(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)))),(x + 1)) + 2)
A343597-A199009: 4 6 8 9 10 12 14 15 16 18 20 21 24 25 27 28
((loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) * (x + 1)) div 2)
A107417: 1 18 126 560 1890 5292 12936 28512 57915 110110 198198 340704 563108 899640 1395360 2108544
((loop(\(x,i).(((loop(\(x,i).(x * x),2,(2 + 1)) * x) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A017746: 1 83 3486 98770 2123555 36949857 541931236 6890268572 77515521435 783768050065 7210666060598 60962903966874 477542747740513 3489735464257595 23929614612052080 154744841157936784
(loop(\(x,i).((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) * (x + 1)),x,1) mod ((x + 1) * 2))
A256298: 1 2 3 4 5 6 7 0 17 18 19 20 21 22 23 16
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(x * 2)) - ((x + 1) * 2))
A141101: 1 3 7 11 19 25 29 37 43 51 57 65 75 79 83 99
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) + ((x + 1) * 2))
A292608: 3 6 7 11 11 14 15 20 19 22 23 27 27 30 31 37
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,((x + 1) * 2))
A250130: 2 12 90 840 11550 180180 3573570 77597520 2007835830 64696932300 2206165391430 89048857617720 3955253425853730 183158658643380420 4611686018427387903 4611686018427387903
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 2)
A006512: 5 7 13 19 31 43 61 73 103 109 139 151 181 193 199 229
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) - 2)
A256388: 1 3 9 15 27 39 57 69 99 105 135 147 177 189 195 225
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) * 2)
A108605: 6 10 22 34 58 82 118 142 202 214 274 298 358 382 394 454
(loop(\(x,i).(((2 + 2) * 2) div (x + 1)),2,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2)
A307313: 2 2 4 2 8 4 8 2 16 8 16 4 16 8 16 2
(((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x - 1),x) * x) * (x + 1)) div 2)
A037972: 0 1 12 108 800 5250 31752 181104 988416 5212350 26741000 134132856 660284352 3199016548 15288882000 72209880000
(if x <= 0 then 0 else loop(\(x,i).(((((x * 2) * 2) * 2) * ((i * 2) - 1)) div (i + 1)),(x - 1),2))
A052707: 0 2 8 64 640 7168 86016 1081344 14057472 187432960 2549088256 35223764992 493132709888 6979724509184 99710350131200 1435829041889280
(((if (x mod 2) <= 0 then ((2 - (x mod (2 + 2))) * ((2 + 2) + 1)) else 1) + 1) * (if x <= 0 then 1 else 2))
A010187: 11 4 2 4 22 4 2 4 22 4 2 4 22 4 2 4
loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(if x <= 0 then 1 else 2))
A167275: 1 4 4 8 4 8 8 16 4 8 8 16 8 16 16 32
((loop(\(x,i).((2 + 1) * x),(x * 2),1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) div 2)
A081202: 0 1 16 193 2080 21121 206896 1979713 18640960 173533441 1602154576 14701866433 134294124640 1222488408961 11099284691056 100571785292353
((loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A001447: 1 3 15 65 325 1575 7875 39125 195625 976875 4884375 24415625 122078125 610359375 3051796875 15258828125
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A081188: 1 6 37 234 1513 9966 66637 450834 3077713 21153366 146120437 1013077434 7042713913 49054856766 342163294237 2389039544034
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A081200: 0 1 12 109 888 6841 51012 372709 2687088 19200241 136354812 964249309 6798573288 47834153641 336059778612 2358521965909
(loop(\(x,i).(loop(\(x,i).(x - ((((((x - 1) div 2) div 2) div 2) * 2) + 1)),1,i) + x),x,1) div 2)
A194221: 0 0 1 2 3 5 8 11 14 17 21 25 29 34 40 46
(if (x - 1) <= 0 then 1 else ((((loop(\(x,i).(x * 2),(x - 1),(x + 2)) div (2 + 1)) + 1) div 2) * 2))
A093041: 1 1 2 6 16 38 86 192 426 938 2048 4438 9558 20480 43690 92842
(if x <= 0 then 1 else ((if (x mod (2 + 1)) <= 0 then 1 else (((x * 2) mod ((x div (2 + 1)) + 1)) mod 2)) + 2))
A262945: 1 2 2 3 2 2 3 2 3 3 2 2 3 3 3 3
(if x <= 0 then 1 else (((x + 1) div ((if (((2 + 1) * 2) mod ((x div 2) + 1)) <= 0 then 2 else 1) + 2)) + 2))
A274533-A273263: 1 2 2 3 3 3 4 4 5 5 4 5 6 6 7 7
(if x <= 0 then 1 else (if (x mod ((2 + 2) + 1)) <= 0 then 0 else (1 - (((x div ((2 + 2) + 1)) mod 2) * 2))))
A163812: 1 1 1 1 1 0 ~1 ~1 ~1 ~1 0 1 1 1 1 0
((loop(\(x,i).(loop(\(x,i).(((x * 2) - 1) * x),2,x) * (x * x)),x,((2 + 2) + 1)) div 2) + 2)
A074318: 4 50064 4611686018427387903
(loop(\(x,i).(x * 2),x,(((loop(\(x,i).((i mod 2) + (x * 2)),x,2) + 2) * (2 + 1)) + 2)) div 2)
A240526: 7 23 76 284 1072 4208 16576 65984 262912 1050368 4197376 16784384 67121152 268464128 1073790976 4295081984
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017579: 4194304 17592186044416 8293509467471872 419430400000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((x * 2) * (2 + 1)) + 2) * 2)))
A017446: 1048576 576650390625 141167095653376 4808584372417849 64925062108545024 511116753300641401 2824752490000000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((x * 2) * (2 + 1)) + 2) * 2)))
A017448: 16777216 129746337890625 95428956661682176 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 1 else ((((if (x mod (2 + 2)) <= 0 then 1 else 2) + x) + (x div 2)) * (2 + 1))) div 2) * 2)
A072835: 0 8 14 18 20 26 32 36 38 44 50 54 56 62 68 72
((loop(\(x,i).(((x div 2) + x) * (x div 2)),1,loop(\(x,i).((2 + 1) * x),x,(2 + 1))) div 2) div 2)
A006100: 1 13 130 1210 11011 99463 896260 8069620 72636421 653757313 5883904390 52955405230 476599444231 4289397389563 38604583680520 347441274648040
((((loop(\(x,i).((if (((x div 2) - 2) - 2) <= 0 then 1 else 0) + x),2,x) + x) * (2 + 1)) div 2) * 2)
A126798: 6 12 18 24 30 36 42 48 54 56 60 66 72 78 84 90
(loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),((x * 2) + 1),2)) * 2)
A183767: 12 280 7392 205920 5912192 173065984 5134924800 153876579840 4646469273600 141154845511680 4309194677698560 132086184685977600 4062564621910867968 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).((x + 1) * 2),(x div 2),(((x mod 2) + 1) * 2))) div 2)
A267668: 4 32 108 500 1372 5324 13500 48668 119164 415292 1000188 3429500 8193532 27871484 66325500 224727548
(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((((x * x) * (x + 1)) div 2) + 1),x,1) div 2)) div 2)
A226499: 0 1 6 4851
(if x <= 0 then 1 else (((x * 2) div ((if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then x else 1) + 2)) + 2))
A329608-A325384-A323405-A323400-A323371-A323370-A323369-A323367-A322973-A322824-A322314-A322022-A319349-A319346-A318500-A305890-A305801: 1 2 3 4 3 5 3 6 7 8 3 9 3 10 11 12
(((loop(\(x,i).(loop(\(x,i).((((x - 1) * x) - 1) * 2),i,x) - x),x,1) * (x + 1)) div 2) div 2)
A127623: 0 ~2 693 4611686018427387903
(((loop(\(x,i).(loop(\(x,i).((((x + 2) * x) - 2) * 2),2,x) - 1),(x + 1),1) div 2) + 2) + 2)
A058456: 9 80089 4611686018427387903
((((loop(\(x,i).(x * 2),x,(loop(\(x,i).((x + 2) * 2),(x + 1),1) - 2)) + 1) * 2) * 2) * 2)
A235885: 40 232 1096 4744 19720 80392 324616 1304584 5230600 20946952 83836936 335446024
(((loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),x,(((2 + 2) * 2) + 1)) div 2) div 2) div 2)
A022262: 1 35303692060 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - ((((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(((x * 2) + 1) * 2),x,1)) div 2) * 2) * 2))
A273251: 1 5 37 181 789 3285 13397 54101 217429 871765 3491157 13972821 55907669 223663445 894719317 3579008341
((if x <= 0 then 2 else ((x - ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod (x + 1)) - 2)) div 2)) div 2)
A029261: 1 0 0 1 1 0 1 2 1 1 2 2 3 2 3 4
(2 - (if x <= 0 then 1 else ((if (x mod (2 + 1)) <= 0 then 1 else ((x mod (((x mod 2) + 2) + 2)) mod 2)) * 2)))
A123063: 1 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0
((loop(\(x,i).(((2 + 2) + 1) * x),((x div 2) + 1),(if (x mod 2) <= 0 then 1 else (2 + 2))) div 2) div 2)
A249222: 1 5 6 25 31 125 156 625 781 3125 3906 15625 19531 78125 97656 390625
((((loop(\(x,i).(i * x),x,(if (x - 1) <= 0 then (0 - 1) else ((x + 2) * x))) div 2) div 2) div 2) + 2)
A171756: 1 1 4 13 74 527
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod (loop(\(x,i).(((x * x) * x) + 2),2,2) - 2))
A216129: 1 7 49 343 401 807 649 543 801 607 249 743 201 407 849 943
(((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 2) * (2 + 1)) div 2) mod (2 + 2)) - 2)
A127442: 1 1 ~2 1 ~2 0 1 ~2 0 1 1 ~2 0 1 ~1 1
loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1),2,(x mod ((2 + 2) * 2)))
A273399: 1 1 2 42 2674440 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),2,(((((2 + 2) + 1) * x) + 2) * 2)) * x),x,((2 + 2) * 2))
A182010: 8 398297088 4611686018427387903 4611686018427387903
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * loop(\(x,i).(x * x),(2 + 2),2))
A175744: 196608 327680 458752 720896 851968 1114112 1245184 1507328 1900544 2031616 2424832 2686976 2818048 3080192 3473408 3866624
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017627: 8589934592 204800000000000 36028797018963968 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - (((((2 + 1) * x) + 2) * 2) * 2)))
A017494: 1073741824 6131066257801 590490000000000 13422659310152401 144555105949057024 984930291881790849 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - (((((2 + 1) * x) + 2) * 2) * 2)))
A017496: 68719476736 2213314919066161 531441000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 2) + 2)
A287922: 8 13 29 53 125 173 293 365 533 845 965 1373 1685 1853 2213 2813
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 2) * 2)
A153480: 4 14 46 94 238 334 574 718 1054 1678 1918 2734 3358 3694 4414 5614
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(2 - (x - (((x * 2) * 2) * 2))))
A017015: 2048 31381059609 17592186044416 952809757913927 17714700000000000 177917621779460413 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((if ((x mod (((2 + 1) * 2) + 1)) - 2) <= 0 then 0 else 1) + (x div 2)) div 2) + 2))
A134674: 1 2 2 3 3 3 4 3 4 4 5 5 5 5 5 5
(if x <= 0 then 1 else ((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),(x mod 2)) * 2) * 2))
A249572: 1 4 8 48 88 488 888 4888 8888 48888 88888 488888 888888 4888888 8888888 48888888
(if x <= 0 then 1 else (loop(\(x,i).(0 - ((x * 2) * (2 + 1))),(x - 1),1) * (((x mod 2) + 2) * 2)))
A091097: 1 6 ~24 216 ~864 7776 ~31104 279936 ~1119744 10077696 ~40310784 362797056 ~1451188224 13060694016 ~52242776064 470184984576
(((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) - (x mod 2)) + 2) * 2)
A014687: 4 4 8 10 14 16 20 22 30 30 38 40 44 46 54 58
(((compr(\x.(2 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),x) + 2) + 2) * 2)
A298366: 30 38 54 60 68 80 90 96 98 120 122 124 126 128 138 146
(loop(\(x,i).(if x <= 0 then 1 else (((((i * 2) - 1) * x) * 2) div (i + 1))),(x - 1),0) mod (2 + 2))
A073267: 0 0 1 2 1 2 2 0 1 2 2 0 2 0 0 0
((((loop(\(x,i).loop(\(x,i).(i * x),i,x),x,1) - 1) div (((x + 1) * 2) + 1)) + x) div (2 + 2))
A171737: 0 0 0 1 7 665
(compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1))),x) * (2 + 2))
A152680: 4 12 16 28 36 40 52 60 72 88 96 100 108 112 136 148
(if x <= 0 then 2 else (if ((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) <= 0 then 1 else (x mod (2 + 2))))
A248145: 2 1 1 1 1 1 1 1 1 1 1 3 1 1 2 1
(loop(\(x,i).((x * 2) * 2),x,(((2 + 2) * 2) + 1)) - loop(\(x,i).((2 + 1) * x),x,(2 + 2)))
A291010: 5 24 108 468 1980 8244 33948 138708 563580 2280564 9200988 37040148 148869180 597602484 2396787228 9606280788
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017327: 4194304 4049565169664 1521681143169024 70188843638032384 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).((x * x) * x),1,(((((x div 2) * (2 + 1)) + x) + 2) * 2)))
A272914: 4096 46656 7529536 16777216 191102976 308915776 1544804416 2176782336 7256313856 9474296896 24794911296 30840979456 68719476736 82653950016 164206490176 192699928576
loop(\(x,i).(((x * 2) * 2) * 2),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2),2)
A100628: 128 1024 65536 4194304 17179869184 1099511627776 4503599627370496 288230376151711744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 2)
A153481: 6 25 123 341 1329 2195 4911 6857 12165 24387 29789 50651 68919 79505 103821 148875
(loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * 2)
A172190: 16 54 250 686 2662 4394 9826 13718 24334 48778 59582 101306 137842 159014 207646 297754
(loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 1) * (x div 2)),x,2) div 2)
A246541: 1 2 6 30 180 1440 12960 142560 1995840
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2)) + 2)
A173176-A172057: 7 13 19 31 43 61 73 103 109 139 151 181 193 199 229 241
(if x <= 0 then 1 else ((((x - (if ((x div (2 + 2)) - 2) <= 0 then 0 else 2)) div (2 + 1)) + (x * 2)) * 2))
A312507: 1 4 8 14 18 22 28 32 36 42 46 50 54 58 64 68
(loop(\(x,i).((((x * 2) * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) div (1 - ((x * 2) * 2)))
A004984: 1 ~2 ~6 ~28 ~154 ~924 ~5852 ~38456 ~259578 ~1788204 ~12517428 ~88759944 ~636112932 ~4599585816 ~33511268088 ~245749299312
(((x div (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313872: 1 5 10 16 21 26 31 36 41 46 52 57 62 67 72 78
((loop(\(x,i).(x - (x div ((2 + 2) * 2))),2,(x - 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314251: 1 5 11 17 23 29 35 41 47 52 57 63 69 75 81 87
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)) - loop(\(x,i).((2 + 1) * x),(x * 2),2))
A097167: 1 12 138 1542 16878 181902 1937118 20434062 213906558 2225159022 23026431198 237237880782 2435140927038 24916268343342 254246415090078 2588217735810702
(if ((x - 2) * 2) <= 0 then x else ((x mod 2) - (1 - loop(\(x,i).((x * 2) - (i mod 2)),(x div 2),2))))
A138587: 0 1 2 3 5 6 10 11 21 22 42 43 85 86 170 171
((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),(x - 1),x) + x) + ((x div 2) * 2))
A093052: 0 2 5 4 8 6 9 8 13 10 13 12 16 14 17 16
(((if (x mod (2 + 1)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2))) * 2)
A040397: 20 2 4 20 4 2 40 2 4 20 4 2 40 2 4 20
(if (x mod (2 + 2)) <= 0 then (((((2 + 2) * 2) * 2) + 1) * (if x <= 0 then 1 else 2)) else ((x mod 2) + 2))
A040281: 17 3 2 3 34 3 2 3 34 3 2 3 34 3 2 3
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),x,x) + ((x mod 2) + 2))
A262392: 2 5 7 13 19 31 43 61 79 103 131 163 199 241 283 331
(if ((x - 1) mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) else (1 - ((x mod 2) * 2)))
A202150: 1 1 1 ~1 1 ~1 1 3 1 ~1 1 ~1 1 1 1 ~1
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * loop(\(x,i).((x * x) * x),2,2))
A179692: 1536 2560 3584 5632 6656 8704 9728 11776 14848 15872 18944 20992 22016 24064 27136 30208
(compr(\x.(((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,(x + 2)) + 1) mod (2 + 1)) - 1),x) + 2)
A045309: 2 3 5 11 17 23 29 41 47 53 59 71 83 89 101 107
loop(\(x,i).(((loop(\(x,i).(((x + 2) * x) + 1),x,((2 + 2) * 2)) * 2) * (2 + 1)) - 1),x,2)
A303738: 2 40343 4611686018427387903
loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)),1,(((((x + 2) + 2) + 1) * x) div 2))
A236999: 1 1 1 13 19 13 17 43 53 1 19 89 103 59 67 151
(loop(\(x,i).(((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) * 2),(2 + 1),x) div 2)
A335881: 0 0 1 0 2 1 2 0 2 2 2 1 2 2 3 0
((if x <= 0 then 2 else loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,((2 + 1) * x))) div 2)
A071724: 1 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825
loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)) + 1),x,2)
A083446: 2 30 382 4550 52062 579670 6328142 68064390 723690622 7624326710 79730051502 828681574630 8569245282782 88234318656150 905219979016462 9258090922259270
(((loop(\(x,i).(loop(\(x,i).(x - (x div ((i + 2) + 1))),x,(x + 1)) + x),x,2) - 1) - x) div 2)
A131674: 0 1 3 5 8 12 17 23 29 36 44 53 63 74 86 99
(compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) + 2)
A153245: 7 12 14 17 21 22 25 27 28 32 35 36 37 38 42 47
(compr(\x.(loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),x,2) mod (x + 2)) - 1)) mod (x + 1)),x) * 2)
A260084: 0 2 6 10 14 18 22 30 34 42 46 54 58 62 70 78
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) * (x + 1)) + x) * 2))
A017375: 8589934592 64268410079232 8293509467471872 238572050223552512 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).((((i * 2) - 1) * x) * 2),(x - 2),x) div 2),1,(x - 1)) * x) * 2)
A052733: 0 0 0 6 24 240 3600 70560 1693440 47900160 1556755200 57081024000 2328905779200 104589041356800 5124863026483200 272011960636416000
(compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else ((2 + 2) + 1))),x,x) + 1),x) * 2)
A209838-A086303: 2 4 8 14 16 22 26 28 32 38 44 46 52 56 58 64
(loop(\(x,i).((((if (x mod 2) <= 0 then (2 + 2) else (x mod (0 - 2))) + x) div (2 + 1)) + 1),2,x) div 2)
A029386: 1 0 0 0 0 1 1 0 1 0 1 1 2 1 1 1
(compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((x div 2) + x) + 1) * 2)),x) + 2)
A199593: 9 12 17 19 22 26 29 31 32 39 40 41 42 45 48 49
(loop(\(x,i).(((((x * 2) + 1) * 2) * 2) + 1),(x + 1),0) mod loop(\(x,i).((x + 1) * 2),x,2))
A213245: 1 3 1 15 31 9 127 255 73 1023 2047 585 8191 16383 4681 65535
(compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod 2),x) + 2)
A080147: 3 6 7 10 12 13 16 18 21 24 25 26 29 30 33 35
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,(2 + 1)) - loop(\(x,i).(((x * 2) * 2) * 2),x,2))
A016188: 1 20 304 4160 54016 680960 8433664 103301120 1256390656 15210905600 183604609024 2211845242880 26610862391296 319880104509440 3842959300624384 46150695979581440
(compr(\x.(loop(\(x,i).(x * x),2,(loop(\(x,i).((i * x) * 2),(2 + 2),1) + 1)) mod (x + 2)),x) + 2)
A036490: 5 7 11 25 35 49 55 77 121 125 175 245 275 343 385 539
(compr(\x.(1 - (loop(\(x,i).(((if (x mod (i + 1)) <= 0 then 0 else i) + 1) * x),x,1) mod (x + 2))),x) + 2)
A050376-A009087: 2 3 4 5 7 9 11 13 16 17 19 23 25 29 31 37
((loop(\(x,i).(i * x),x,(x + 1)) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) - 2)
A261809: ~1 ~1 1 17 109 707 5023 40301 362857 3628771 39916769 479001563 6227020759 87178291157 1307674367953 20922789887947
loop(\(x,i).((x div 2) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A084921: 3 4 12 24 60 84 144 180 264 420 480 684 840 924 1104 1404
loop(\(x,i).((x * x) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135178: 12 36 150 392 1452 2366 5202 7220 12696 25230 30752 52022 70602 81356 106032 151686
loop(\(x,i).((x * x) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135177: 4 18 100 294 1210 2028 4624 6498 11638 23548 28830 49284 67240 77658 101614 146068
((loop(\(x,i).(x * 2),x,2) - 1) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A192324: 1 0 2 1 9 11 8 8 5 8 1 25 32 0 8 27
loop(\(x,i).(((x * 2) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A117961: 6 15 45 91 231 325 561 703 1035 1653 1891 2701 3321 3655 4371 5565
loop(\(x,i).(((x * x) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A127917: 6 24 120 336 1320 2184 4896 6840 12144 24360 29760 50616 68880 79464 103776 148824
(loop(\(x,i).(i * x),x,(x + 1)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A091858: 1 2 1 3 10 5 8 2 9 1 22 7 4 40 29 16
loop(\(x,i).((x - (i - 1)) * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138402: 12 72 600 2352 14520 28392 83232 129960 279312 706440 922560 1872792 2824080 3416952 4877472 7887672
(loop(\(x,i).((i + 2) * x),x,2) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A153426: 0 0 4 1 5 9 13 18 21 11 16 17 15 41 41 7
((1 - loop(\(x,i).((((x * 2) - (x mod (2 + 2))) * 2) + 1),x,0)) mod loop(\(x,i).(x * 2),x,2))
A284238: 1 0 6 10 10 42 42 170 170 682 682 2730 2730 10922 10922 43690
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 2),1) - loop(\(x,i).(x * 2),x,2))
A289612: 3 10 34 116 397 1366 4734
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 2)),x) + 2)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A095405: 2 3 5 7 11 13 17 19 22 23 29 31 37 41 43 47
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * x) - 2))),x) * 2)
A090697: 4 6 8 12 14 16 20 22 26 30 34 36 42 44 48 50
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * x) * 2) - 1)),(x + 2))
A094550: 4 6 9 11 14 15 16 17 19 21 22 23 24 25 26 29
((loop(\(x,i).(x - (((loop(\(x,i).(x * 2),x,2) mod (x + 2)) + 1) mod 2)),2,x) + 1) + (x + 2))
A284936: 1 5 6 9 10 13 14 15 17 21 22 25 26 27 29 33
(((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,x) * (x + 1)) div 2) * (x + 2))
A293476: 0 15 180 1050 4200 13230 35280 83160 178200 353925 660660 1171170 1987440 3248700 5140800 7907040
((loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)) + (if x <= 0 then 1 else ((x * 2) * 2))) div (x + 2))
A129843: 1 1 2 2 3 2 3 3 4 2 4 3 4 3 4 3
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),x,2) * (x + 2))
A162867: 4 15 40 85 168 287 464 693 1000 1419 1920 2561 3332 4215 5248 6477
loop(\(x,i).(((loop(\(x,i).(x - (x div ((2 + 2) * (0 - 2)))),x,1) div 2) div 2) + 1),1,(x * 2))
A057042: 1 1 2 2 3 4 5 6 8 10 13 17 22 27 35 44
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) * (2 + 1)) - (x * 2))
A240400: 0 1 5 6 19 20 24 25 65 66 70 71 84 85 89 90
(((compr(\x.loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),x) * 2) + 1) - (x * 2))
A165971: 1 5 9 13 15 15 19 19 21 25 27 27 29 29 33 33
((if (((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then 1 else x) + x) mod (2 + 1)) <= 0 then 1 else 2) + (x * 2))
A285251: 2 4 5 7 10 12 13 16 18 20 22 23 25 28 30 31
((if x <= 0 then 1 else (loop(\(x,i).(x - ((((i mod 2) - x) div (2 + 2)) - 1)),x,1) * 2)) - (x * 2))
A103257: 1 2 4 6 10 14 20 28 40 54 72 96 126 164 212 272
loop(\(x,i).((if x <= 0 then 2 else ((((((x mod (2 + 1)) + 1) * x) div 2) + 1) div 2)) div 2),2,(x * 2))
A240871: 0 0 0 0 0 1 0 2 1 1 2 2 0 2 2 1
((x - loop(\(x,i).(x - (if (x - (((2 + 1) * 2) + 1)) <= 0 then (i + 2) else 1)),x,x)) - (x * 2))
A124158: 0 1 3 6 10 15 21 28 34 40 46 52 58 64 70 76
((2 + 1) - (if x <= 0 then 1 else (if (((x div (2 + 1)) mod (2 + 1)) - 1) <= 0 then (2 + 1) else (x div 2))))
A010103: 2 0 0 0 0 0 0 0 ~1 0 0 0 0 0 0 ~4
loop(\(x,i).(if x <= 0 then 1 else ((x * 2) * 2)),1,(x - ((x div (((x mod 2) + 2) + 2)) - (x div 2))))
A310564: 1 4 12 16 20 24 32 36 40 48 52 56 60 68 72 76
(loop(\(x,i).((x * 2) * 2),(x div 2),(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,0))) - (x mod 2))
A266842: 1 2 20 43 336 687 5440 10943 87296 174847 1397760 2796543 22368256 44740607 357908480 715833343
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x + 1) div 2),1) - (if x <= 0 then 0 else 1)) - (x mod 2))
A256162: 1 8 9 98 99 998 999 9998 9999 99998 99999 999998 999999 9999998 9999999 99999998
((if (x mod 2) <= 0 then 1 else (if (x mod (2 + 1)) <= 0 then 2 else ((((x div 2) + x) div 2) + 1))) + (x mod 2))
A119479: 1 2 1 3 1 5 1 7 1 3 1
((if x <= 0 then 0 else (if (x mod (((((2 + 2) * 2) * 2) mod (x + 1)) + 1)) <= 0 then 1 else 2)) - (x mod 2))
A330720: 0 0 1 0 1 0 1 0 1 1 2 1 1 1 1 0
((((if x <= 0 then 0 else (if (x mod (((2 - x) mod (2 + 2)) + 2)) <= 0 then 1 else 2)) + 1) * 2) - (x mod 2))
A102066: 2 5 4 5 4 5 4 5 4 3 4 5 4 5 4 3
((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * ((2 + 2) + 1)) else 2) - (x mod 2))
A040232: 15 1 2 1 30 1 2 1 30 1 2 1 30 1 2 1
(x div ((((if ((x mod (2 + 1)) - 1) <= 0 then 2 else 0) + 1) + (if (x - 2) <= 0 then 1 else 2)) + (x mod 2)))
A117173: 0 0 1 0 0 1 1 1 2 1 2 2 2 2 4 2
(((if (x mod (2 + 2)) <= 0 then ((((2 + 2) * 2) * 2) + 1) else 1) * (if x <= 0 then 1 else 2)) - (x mod 2))
A040297: 17 1 2 1 34 1 2 1 34 1 2 1 34 1 2 1
(((if (x mod (2 + 2)) <= 0 then (((2 + 2) * (2 + 1)) + 1) else 2) * (if x <= 0 then 1 else 2)) + (x mod 2))
A010218: 13 5 4 5 26 5 4 5 26 5 4 5 26 5 4 5
((if (x mod ((2 + 2) + 1)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * (2 - (x mod 2)))
A010211: 12 1 2 1 2 12 2 1 2 1 24 1 2 1 2 12
((if x <= 0 then 1 else 0) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),(x mod 2)))
A210628: 1 ~1 0 ~1 0 ~2 0 ~5 0 ~14 0 ~42 0 ~132 0 ~429
((((loop(\(x,i).((loop(\(x,i).(i * x),x,2) div (x + 1)) + (i * x)),x,1) + 1) + x) + x) + 2)
A255340: 4 7 12 64 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * 2),((2 - x) + 1),1) * loop(\(x,i).(((2 + 2) + 1) * x),x,2))
A084912: 1024 640 400 250
(loop(\(x,i).((2 + 1) * x),(x - 1),(((2 + 2) + 1) * x)) - loop(\(x,i).((2 + 1) * x),x,2))
A053566: ~2 ~1 12 81 378 1539 5832 21141 74358 255879 866052 2893401 9565938 31355019 102036672 330024861
loop(\(x,i).(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * (i + 1)) + x),x,2)
A014285: 2 8 23 51 106 184 303 455 662 952 1293 1737 2270 2872 3577 4425
((((if x <= 0 then 2 else ((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else (2 + 2)) + x)) + x) + x) * 2)
A274968: 4 8 14 20 26 32 38 44 50 56 62 68 74 80 86 98
((if (x - 1) <= 0 then 1 else loop(\(x,i).(((x div (2 - (i div ((0 - 2) - 2)))) + x) + 1),x,0)) + x)
A231408: 1 2 4 6 9
A130025: 1 2 4 6 9 12 15 19 24 29 35 42 50 58 67 77
((if x <= 0 then 1 else (x - (if (((((2 + 2) + 1) * 2) * 2) mod ((x + 2) + 1)) <= 0 then 0 else 1))) + x)
A258049: 1 2 4 5 7 9 11 14 15 17 19 21 23 25 27 29
((((if x <= 0 then 2 else (if (((x div 2) - 2) - 2) <= 0 then 1 else 2)) * (((2 + 2) * 2) + 1)) + 1) - x)
A175674: 19 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4
compr(\x.(if x <= 0 then 1 else (x mod (((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1) div (2 + 1)) + 1))),x)
A333964-A279537-A025487: 1 2 4 6 8 12 16 24 30 32 36 48 60 64 72 96
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) * (2 + 1)) - 1) * x))
A017399: 0 285311670611 584318301411328 50542106513726817 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 1)),x)
A166563: 5 6 10 13 15 17 18 20 25 27 28 30 31 34 35 36
compr(\x.(2 - loop(\(x,i).(if (x mod ((i + 2) + 1)) <= 0 then 0 else x),x,(((x * 2) * (2 + 1)) + 1))),x)
A024899: 1 2 3 5 6 7 10 11 12 13 16 17 18 21 23 25
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) - 1)),x)
A153383: 0 2 4 7 10 11 12 14 17 18 21 22 24 25 27 30
((compr(\x.(1 - loop(\(x,i).(x div (if (x mod 2) <= 0 then (0 - 2) else 1)),x,x)),((x * 2) + 1)) + 1) + x)
A285961: 4 7 12 16 20 23 27 31 36 39 44 48 52 57 60 64
((if (x - 2) <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) * (2 + 1)),x,1) - 1)) * x)
A340546: 0 1 2 9717
((if x <= 0 then 1 else (((loop(\(x,i).((((i + 2) * 2) * (i - 1)) + x),x,1) + 1) * 2) + 1)) + x)
A273314: 1 6 23 64 137 250 411 628 909 1262 1695 2216 2833 3554 4387 5340
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) + 1)),x)
A153327: 1 4 5 7 8 10 13 15 16 19 20 21 22 25 27 28
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017458: 9765625 1099511627776 205891132094649 6278211847988224 79792266297612001 604661760000000000 3255243551009881201 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017460: 244140625 281474976710656 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (x - ((if (x - 2) <= 0 then 1 else x) - (((x * 2) + 1) * ((2 + 2) + 1))))) + x)
A337663: 1 16 28 38 49 60
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017518: 10000000000 16679880978201 1125899906842624 21611482313284249 210832519264920576 1346274334462890625 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017520: 1000000000000 7355827511386641 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1),((x div 2) div ((2 + 2) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A249517: 0 1 2 3 4 5 6 7 8 9 11111111111
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x)
A105133: 0 1 3 4 6 7 12 13 18 19 21 22 24 28 33 34
((if (x - 2) <= 0 then 1 else ((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) + 1) * (2 + 1))) + x)
A265334: 1 2 3 6 7 8 9 10 11 24 25 26 27 28 29 30
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) + 1) * (2 + 1)) + x))
A017027: 177147 100000000000 34271896307633 1521681143169024 25408476896404831 238572050223552512 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + ((x + 1) mod (2 + 1))),x)
A173177: 2 5 8 14 17 20 29 32 35 38 47 50 53 62 68 74
compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod (2 + 1)),x)
A138972: 2 4 6 9 10 12 16 17 19 20 23 25 27 29 32 34
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) + x))
A017063: 362797056 1792160394037 204800000000000 5559060566555523 70188843638032384 550329031716248441 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if x <= 0 then 1 else compr(\x.(x mod ((((x mod 2) * 2) * (2 + 1)) + 1)),x)),1,((2 + 1) * x))
A315320: 1 6 10 16 21 26 32 36 42 48 52 58 63 68 74 78
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) - 1)),x)
A153275: 0 2 5 8 9 11 12 14 16 17 20 22 23 26 29 30
((if (x - 1) <= 0 then 1 else (compr(\x.(loop(\(x,i).((x - i) * x),2,(x div 2)) mod (x + 1)),x) + 1)) - x)
A007599: 1 0 1 1 1 1 2 3 4 5 5 5 6 7 8 9
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x + 1) * x) - 1))),x)
A027861: 1 2 4 5 7 9 12 14 17 19 22 24 25 29 30 32
compr(\x.(loop(\(x,i).(x * x),2,((if (x mod ((x mod 2) + 2)) <= 0 then 2 else 0) * (2 + 1))) mod (x + 1)),x)
A014121: 0 1 2 3 5 7 8 11 13 15 17 19 23 25 26 29
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) + x))
A017267: 8589934592 34271896307633 3670344486987776 96549157373046875 1196683881290399744 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x),x,0) - ((x + 1) * x))
A135267: 0 ~1 ~2 ~3 ~2 ~1 2 5 10 19 28 41 56 71 88 109
((x - ((if (((2 + 2) + 1) mod (if (x mod 2) <= 0 then 2 else x)) <= 0 then 2 else 0) - 1)) + ((x + 1) * x))
A083783: 1 2 9 16
A085960: 1 2 9 16 25 34 49 64 81 100 121 144 169 196 225 256
loop(\(x,i).(loop(\(x,i).((((i * 2) + 1) * x) * 2),((x * 2) + 1),2) - 1),1,((x + 1) * x))
A112854: 11 665279 3497296636753919999 4611686018427387903
(loop(\(x,i).((if x <= 0 then 0 else (x - ((1 - (x * 2)) * (2 + 1)))) * (2 + 1)),1,(x - 1)) + x)
A024814: 0 1 14 36 58 80 102 124 146 168 190 212 234 256 278 300
loop(\(x,i).(1 - (((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) * (x + 1)) mod (2 + 1))),(x - 1),x)
A000494: 0 1 1 0 ~1 ~1 0 1 1 0 ~1 ~1 ~1 0 1 1
((if x <= 0 then 0 else loop(\(x,i).(((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + x),2,(x - 1))) + x)
A340718: 0 1 3 5 7 9 11 15 17 19 21 23 27 31 33 35
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((2 + 1) div (if x <= 0 then 1 else x)))
A301869: 6 9 5 7 0 0 0 0 0
((loop(\(x,i).(if x <= 0 then 1 else (((x div (((2 + 2) * (i + 1)) - 1)) * 2) + x)),x,x) + 1) - x)
A237716: 1 1 1 1 1 1 1 3 3 5 5 7 7 9 13 15
(loop(\(x,i).((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1) + (i * x)) - x),x,1) * x)
A105927: 0 0 2 12 84 640 5430 50988 526568 5940576 72755370 961839340 13656650172 207316760352 3351430059614 57487448630220
(loop(\(x,i).(loop(\(x,i).((x * 2) - (x div (((2 - x) div (2 + 2)) - 2))),1,i) + x),x,1) + x)
A326665: 1 5 11 19 30 43 58 75 94 116 140 166 194 224 256 290
(2 div (if ((((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 1 else x) + 1) mod (2 + 1)) - 1) <= 0 then 2 else x))
A101808: 1 2 1 1 0 1 1 0 1 1 0 1 0 0 1 1
(if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 1 else ((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x))
A239235: 1 2 3 4 5 6 7 8 9 10 12 1 14 15 16 17
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 2)),x)
A166569: 4 7 9 14 15 19 20 21 24 26 28 29 32 33 34 35
(2 div loop(\(x,i).(((((if (x - 1) <= 0 then 2 else ((x * 2) - 1)) * 2) - 1) mod (x + 2)) + 1),2,x))
A045706-A045634: 1 2 1 0 1 1 0 0 1 2 1 0 1 0 0 0
((if ((x mod (2 + 1)) div 2) <= 0 then ((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) else ((x - 1) * 2)) - x)
A239286: 1 1 0 ~2 1 3 ~5 1 6 ~8 1 9 ~11 1 12 ~14
(((((loop(\(x,i).(x - (if (i - x) <= 0 then (i * 2) else 0)),x,x) + 1) * (2 + 1)) div 2) div 2) + x)
A203554: 0 1 2 4 3 5 6 8 10 7 9 11 12 14 16 18
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + x))
A017219: 4194304 1792160394037 584318301411328 25408476896404831 419430400000000000 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) - x))
A017039: 4194304 285311670611 64268410079232 2384185791015625 36028797018963968 317475837322472439 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((if x <= 0 then 1 else x) - (((((x * x) div ((2 + 2) + 1)) mod (x + 1)) div 2) mod 2)),2,x)
A285719: 1 1 2 3 3 5 6 7 7 7 10 11 11 13 14 15
compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)),((x div ((2 + 2) * 2)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A049543: 2 3 5 7 11 13 17 19 29 31 37 41 43 47 53 59
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x)
A092022: 0 1 4 5 8 10 11 13 14 19 26 29 31 34 35 40
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) + 2) * 2)),x)
A166570: 2 7 9 11 12 16 17 22 23 24 26 27 30 32 33 37
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) + 2) * 2))),x)
A138083: 0 1 2 4 5 6
A153218: 0 1 2 4 5 6 9 10 11 12 15 16 17 20 22 24
compr(\x.(1 - loop(\(x,i).(if x <= 0 then 1 else (x - (((2 + 2) * (2 + 1)) - 1))),x,((x * 2) * 2))),x)
A327423: 2 3 5 6 8 9 11 12 15 18 21 24 25 27 28 30
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) + 2)),x)
A153308: 2 5 7 8 11 14 17 18 20 21 23 24 26 28 29 32
compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x)
A102338: 0 1 2 4 5 7 8 10 11 16 17 19 22 23 26 28
((if x <= 0 then 1 else (compr(\x.(loop(\(x,i).(((x * x) div 2) * (x - 2)),2,x) mod (x + 1)),x) + 2)) - x)
A127240: 1 2 2 2 3 3 3 3 3 4 5 6 7 8 8 8
(loop(\(x,i).(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + x),x,0) - ((x + 2) * x))
A134181: 0 0 0 2 4 8 12 18 28 38 52 68 84 102 124 150
(((loop(\(x,i).(x * 2),x,(loop(\(x,i).((i + x) * 2),x,2) - 1)) * 2) - 1) - ((x + 2) * x))
A213754: 1 16 111 576 2631 11292 46927 191680 775599 3122076 12531591 50220912 201088855 804798268 3220143903 12882607872
((if x <= 0 then 1 else ((((if (x mod (2 + 1)) <= 0 then (x * 2) else 1) + x) div (2 + 1)) + (x * 2))) + x)
A298788: 1 3 7 12 13 17 24 23 27 36 33 37 48 43 47 60
(loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i + 1),1) + x),x,2) - x)
A120279: 2 11 45 170 631 2346 8780 33089 125466 478181 1830258 7030557 27088856 104647615 405187809 1571990918
((if x <= 0 then 1 else ((loop(\(x,i).((((((x + 2) * 2) + x) * x) + 2) * 2),2,x) + x) div 2)) - x)
A334012: 1 1045 5985
(((((loop(\(x,i).(x - ((if x <= 0 then 2 else (i * 2)) - 1)),x,x) * x) + 1) div (x + 1)) + x) + x)
A275119: 1 2 3 4 6 5 7 8 10 12 9 11 13 14 16 18
loop(\(x,i).(((x * 2) * 2) - loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),i,1)),x,x)
A038806: 0 1 10 69 406 2186 11124 54445 259006 1205790 5519020 24918306 111250140 492051124 2159081192 9409526397
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 2) * 2) + x))),x)
A153143: 0 2 5 6 9 11 12 14 17 20 21 24 26 27 30 32
(loop(\(x,i).(((((x + 2) + 2) + 2) * 2) + (if x <= 0 then ((0 - 2) - 2) else 1)),(2 + 2),x) - x)
A122475: 155 210 225 240 255
(loop(\(x,i).((if x <= 0 then 1 else ((x mod (1 - (((x div (2 + 2)) + 2) + 2))) mod 2)) + x),2,x) - x)
A161123: 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 2
compr(\x.(((((2 + 2) + 1) * 2) * 2) - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),x)
A231073: 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89
((loop(\(x,i).((x * x) * x),2,(x + 1)) * (x + 1)) + (loop(\(x,i).((x * x) * x),2,x) * x))
A036088: 1 1025 60073 1107625 10814201 70231801 342941425 1356217073 4560526225 13486784401 35937424601 87854788825 199775856073 427113146825 865905045601 1676162018401
((loop(\(x,i).((x * x) * x),2,(x + 1)) * (x + 1)) - (loop(\(x,i).((x * x) * x),2,x) * x))
A022526: 1 1023 58025 989527 8717049 50700551 222009073 791266575 2413042577 6513215599 15937424601 35979939623 75941127625 151396163127 287395735649 522861237151
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * x))
A024137: 1 10 ~903 ~57718 ~1033935 ~9604574 ~58694615 ~262988078 ~859382943 ~1128836710 15937424601 259374246010 3076511012497 34384853652082 379460578928265 4176671519025026
(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,x))
A319028: 1 2 6 22 88 364 1522 6374 26640 110980 460716 1906172 7862416 32341144 132707626 543376774
(loop(\(x,i).((x * x) * x),2,(((x + 2) * x) + 1)) + loop(\(x,i).((x * x) * x),2,(x * x)))
A036096: 1 262145 387682633 69106897225 3883416742361 105374653934041 1729973554578865 19642812107392433 168109033806481105 1150094635296999121 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024151: 1 11 ~1904 ~175419 ~4173568 ~48579293 ~359811072 ~1941494935 ~8159952896 ~26221279257 ~38082635776 457696700077 8173092077568 105201044985035 1279868899379200 15398371818726993
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024125: 1 9 ~1948 ~176147 ~4184304 ~48728125 ~361797056 ~1967326743 ~8489934592 ~30381059609 ~90000000000 ~185311670611 256991629312 8207839605963 95950434830336 991350244140625
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024086: 1 6 ~1999 ~176804 ~4191903 ~48811318 ~362679407 ~1976503200 ~8584169791 ~31340706002 ~99717524751 ~283334343868 ~729167083487 ~1695271383630 ~3371342096815 ~3902194349432
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A098880: 0 11 247808 235782657 61408804864 7863818359375 642717115324416 38532504363714053 1841328767004311552 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(x * x),2,((x * x) * x)))
A024139: 1 10 ~3975 ~530110 ~16762575 ~243979574 ~2175010775 ~13821800030 ~68505117855 ~280071588790 ~974062575399 ~2853116706110 ~5777672071535 11224627021450 323055921207945 4047501831525026
(if (x mod (2 + 1)) <= 0 then (((((x div (2 - (x mod 2))) div (2 + 1)) + 1) mod (2 + 1)) - 1) else 0)
A163533: 0 0 0 1 0 0 1 0 0 0 0 0 ~1 0 0 ~1
loop(\(x,i).((((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + 1) + (x div (2 + 1))) + x),x,0)
A324015: 0 1 2 3 6 10 17 28 46 75 122 198 321 520 842 1363
(((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)) + (if x <= 0 then 0 else 1))
A299090-A185102: 0 1 1 2 1 1 1 2 2 1 1 2 1 1 1 3
(((x + 2) mod ((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) + 1)) + (if x <= 0 then 0 else 1))
A341593-A305253-A288636: 0 1 1 2 1 1 1 2 2 1 1 1 1 1 1 3
((((x mod (((x mod ((2 + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1) div 2) + (if x <= 0 then 0 else 1))
A084113: 0 1 1 2 1 2 1 2 2 2 1 4 1 2 2 3
((x div (((x * 2) div ((x mod (((x mod (2 + 2)) + 1) * 2)) + 1)) + 2)) + (if x <= 0 then 0 else 1))
A333381: 0 1 1 2 1 1 1 3 1 1 2 2 1 1 2 4
((((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + 2) + (if x <= 0 then 0 else 1))
A214613: 2 3 4 3 4 5 4 3 4 5 6 5 4 5 4 3
(((((x * 2) + 1) mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) div 2) + (if x <= 0 then 0 else 1))
A179647: 0 1 1 1 1 1 1 2 2 2 1 2 3 4 3 1
((((x + 1) mod (((((((x + 1) div 2) div 2) + 1) div 2) * 2) + 1)) div 2) + (if x <= 0 then 0 else 1))
A134024: 0 1 1 1 2 1 1 2 1 1 2 2 2 3 1 1
(((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2) + (if x <= 0 then 0 else 1))
A049695: 0 1 1 1 2 1 1 3 3 1 1 4 4 4 1 1
(((((((((x - 1) * 2) mod ((x div 2) + 2)) div 2) div 2) + x) div 2) mod 2) + (if x <= 0 then 0 else 1))
A283156: 0 1 2 2 1 1 2 2 1 2 2 1 1 1 1 2
((((x mod (((((2 + 2) + 1) * 2) mod (x + 1)) + 1)) mod 2) - (x mod 2)) + (if x <= 0 then 0 else 1))
A001877: 0 0 1 0 1 0 1 1 1 0 1 0 2 0 2 0
(((x + 1) div 2) - ((if (x mod (((x mod (((2 + 1) * 2) + 1)) * 2) + 1)) <= 0 then 0 else 1) - 1))
A342515: 1 1 1 2 2 3 3 5 4 5 5 6 6 8 8 9
((((((((x * 2) + 1) * (2 + 1)) + x) + (x div (2 + 1))) * 2) + (if x <= 0 then 0 else 1)) + 1)
A063240: 7 22 36 52 66 80 96 110 124 140 154 168 184 198 212 228
(if x <= 0 then 0 else (((2 + 1) mod (((x div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1)) + 1))
A335428: 0 1 1 2 1 1 1 2 2 1 1 2 1 1 1 4
(if (x mod ((x mod (2 + 1)) + 1)) <= 0 then ((x mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1) else 1)
A327168: 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 4
((x + 2) - (loop(\(x,i).(x * 2),((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1),1) - 1))
A336860: 1 2 3 2 3 4 5 6 3 4 5 6 7 8 9 2
((if x <= 0 then 2 else (x div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1))) - 1)
A166586: 1 0 1 0 3 0 5 0 1 0 9 0 11 0 3 0
((x + 1) div (if (2 - (x div 2)) <= 0 then ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1) else 1))
A345941: 1 2 3 4 5 3 7 2 3 5 11 3 13 7 5 4
loop(\(x,i).(x * x),1,((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1))
A162400-A008833: 1 1 1 4 1 1 1 4 9 1 1 4 1 1 1 16
((x mod (x - (((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) mod ((x div (2 + 1)) + 1)) - 1))) + 1)
A194446: 1 2 3 1 5 1 7 1 2 1 11 1 2 1 15 1
((x mod ((((x div 2) + 1) mod ((loop(\(x,i).((0 - x) * 2),x,1) mod (x + 1)) + 1)) + 1)) + 1)
A143201: 1 1 1 1 1 2 1 1 1 4 1 2 1 6 3 1
((x div ((x mod ((x mod ((loop(\(x,i).((i + x) * 2),x,1) mod (x + 1)) + 2)) + 1)) + 1)) + 1)
A132740: 1 1 3 1 1 3 7 1 9 1 11 3 13 7 3 1
((x + 1) div ((x div ((x mod ((x div ((if (x mod (2 + 1)) <= 0 then 1 else 2) + 2)) + 1)) + 1)) + 1))
A046805: 1 1 1 2 1 2 1 2 3 2 1 3 2 2 3 4
(((x - 1) mod (((if (x mod ((x mod 2) + 2)) <= 0 then x else 1) * (((2 + 2) * 2) + 1)) + 1)) + 1)
A118541: 1 1 2 3 4 5 6 7 8 9 10 1 12 3 14 15
loop(\(x,i).(i * x),((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1),1)
A112624: 1 1 1 2 1 1 1 6 2 1 1 2 1 1 1 24
(loop(\(x,i).((x * x) * 2),1,(((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)) + 1)) - 1)
A154375: 1351 5201 11551 20401 31751 45601 61951 80801 102151 126001 152351 181201 212551 246401 282751 321601
((if x <= 0 then 0 else (((x div 2) mod (1 - ((x + 2) mod (((2 - x) div (2 + 2)) - 1)))) + 1)) + 1)
A071188: 1 2 2 3 2 2 2 2 3 2 2 3 2 2 2 5
((((((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) + x) mod (((x + 1) div (2 + 1)) + 1)) + 1)
A038566: 1 1 1 2 1 3 1 2 3 4 1 5 1 2 3 4
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(2 - (x - (((x * 2) * 2) * (2 + 1)))),1) + 1)
A230304: 101 10000000000001 4611686018427387903
((loop(\(x,i).((x * 2) * 2),x,2) div ((((x mod (2 + 2)) - (x div 2)) mod (2 + 1)) + 1)) + 1)
A131342: 3 5 17 43 257 683
(if x <= 0 then 0 else (((x div ((2 - (((x div 2) * x) mod 2)) * 2)) mod ((x div (2 + 1)) + 1)) + 1))
A064741: 0 1 1 2 2 2 2 1 3 3 3 2 4 4 4 2
(loop(\(x,i).(((((x * 2) - (x mod 2)) + 2) * ((2 + 2) + 1)) + 1),((x * 2) + 1),1) + 1)
A156675: 17 1717 171717 17171717 1717171717 171717171717 17171717171717 1717171717171717 171717171717171717 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((((2 + 2) * 2) + x) + 1) * 2) * ((2 + 2) + 1)),((x * 2) + 1),1) - 1)
A274743: 99 10989 1099989 109999989 10999999989 1099999999989 109999999999989 10999999999999989 1099999999999999989 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (x div ((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1)))
A326055: 0 1 2 0 4 5 6 4 0 9 10 8 12 13 14 0
(((x div (2 + 2)) + 1) div ((x mod ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1))
A322076: 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 4
(x div (((x - 1) mod ((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then x else 1) + 1)) + 1))
A340089: 0 1 1 1 1 5 1 7 1 9 1 11 1 13 7 1
((x div (((x mod (2 + 2)) mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1)) + 1)
A323129-A305007-A053585: 1 2 3 4 5 3 7 8 9 5 11 3 13 7 5 16
((x div ((((loop(\(x,i).((x * 2) + 1),x,0) * ((x mod 2) + 1)) - 1) mod (x + 1)) + 1)) + 1)
A089384: 1 1 1 2 1 3 1 2 3 5 1 6 1 7 5 2
(((x * 2) + 1) mod ((x div (((loop(\(x,i).(x * 2),(x - 2),2) - 1) mod (x + 1)) + 1)) + 1))
A053734: 0 0 1 0 1 1 1 0 2 1 1 2 1 1 5 0
((x div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1)
A327398-A324371-A323616-A276440-A162325-A006530: 1 2 3 2 5 3 7 2 3 5 11 3 13 7 5 2
((x + 2) mod ((x mod ((x div ((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + 2)) + 1)) + 1))
A308638: 0 0 0 1 0 1 0 1 1 0 0 1 2 3 1 1
((x mod ((((x - 1) mod ((x div ((if (x mod (2 + 1)) <= 0 then 1 else 2) + 2)) + 1)) * 2) + 1)) + 1)
A202853: 1 1 1 1 2 1 2 1 3 1 1 3 1 1 3 1
((x mod (((((if ((x div (2 + 1)) - 2) <= 0 then 2 else ((x + 1) div 2)) div 2) - 1) * 2) + 1)) + 1)
A065648: 1 1 1 1 1 1 1 1 1 1 2 2 3 4 5 2
(if ((x mod ((2 + 2) + 1)) - 1) <= 0 then (((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + 1) else 1)
A194799: 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 4
(loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) + 1)
A151712: 2 4 4 10 4 10 10 28 4 10 10 28 10 28 28 82
(loop(\(x,i).((2 + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * (((2 + 1) * 2) + 1)) + 1))
A036142: 1 3 9 27 81 17 51 40 7 21 63 76 2 6 18 54
(((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((2 - x) * 2) div (((2 + 1) * 2) + 1))) - 1)
A145005: 0 5 11 18 24 30 37 43 49 55 62 68 74 81 87 93
((x + 2) - loop(\(x,i).(x * 2),(((x - (((x * x) div 2) div ((x + 2) + 1))) div 2) - 1),1))
A064067: 1 2 3 4 5 5 6 7 6 7 8 9 6 7 8 9
((if x <= 0 then 0 else (((x - ((x mod (2 - (x mod (((0 - 2) - 2) - 1)))) div 2)) div 2) + 1)) + 1)
A023190: 1 2 2 3 4 4 5 5 6 6 7 6 7 8 8 9
((x mod ((x div (((loop(\(x,i).((x + 1) * 2),(x - 2),2) mod (x + 1)) div 2) + 2)) + 1)) + 1)
A085392: 1 1 1 2 1 3 1 2 3 5 1 3 1 7 5 2
(1 - (((x div 2) * x) mod ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 1) + 1)))
A087810: 1 1 1 0 1 1 1 ~2 1 1 1 0 1 1 1 ~5
(((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A086359: 2 6 2 7 9 6 3 9 2 4 3 7 2 9 9 9
(((if (((x div 2) - 2) - 2) <= 0 then x else ((x + 2) + 1)) + (x div (((2 + 2) * 2) + 1))) + 1)
A050761: 1 2 3 4 5 6 7 8 9 11 15 16 17 18 19 20
((((0 - 2) - 2) mod ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1)) + 1)
A286357: 1 1 3 1 2 3 4 1 1 2 3 3 2 4 4 1
((((x * 2) * 2) * (2 + 1)) mod (loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),2,1) - 1))
A121578: 0 12 24 36 48 60 72 84 96 108 120 132 1 13 25 37
(2 div ((((if ((x + 2) mod (((x div 2) mod 2) + 2)) <= 0 then x else 0) + 1) mod ((2 + 2) + 1)) + 1))
A083093: 1 1 1 1 2 1 1 0 0 1 1 1 0 1 1 1
((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) + 1),x,1) div 2) + 1) div ((2 + 2) + 1)) + 1)
A320945: 1 1 3 20 268
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017346: 46656 16777216 308915776 2176782336 9474296896 30840979456 82653950016 192699928576 404567235136 782757789696 1418519112256 2436396322816 4001504141376 6327518887936 9685390482496
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070413: 1 7 20 24 23 16 25 1 7 20 24 23 16 25 1 7
(((loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),(x + 2),1) + 2) * ((2 + 2) + 1)) - 1)
A108896: 949 9449 94449 944449 9444449 94444449 944444449 9444444449 94444444449 944444444449 9444444444449 94444444444449 944444444444449 9444444444444449 94444444444444449 944444444444444449
(loop(\(x,i).(x * x),1,(x - ((((((2 + 2) + 1) * x) + 1) * 2) * ((2 + 2) + 1)))) - 1)
A157370: 99 3480 11663 24648 42435 65024 92415 124608 161603 203400 249999 301400 357603 418608 484415 555024
(((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + (((x + 1) * 2) * ((2 + 2) + 1))) + 1)
A264646: 11 21 32 41 53 62 74 81 95 103 116 122 137 144 158 161
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017382: 531441 47045881 594823321 3518743761 13841287201 42180533641 107918163081 243087455521 496981290961 941480149401 1677100110841 2839760855281 4608273662721 7212549413161 10942526586601
(((((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 2) * 2) * ((2 + 2) + 1)) - 1)
A151360: 19 29 39 49 59 69 79 89 99 99 99 99 99 99 99 99
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070424: 1 7 8 15 23 38 20 17 37 13 9 22 31 12 2 14
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(((x + 2) * x) * ((2 + 2) + 1)),1)
A147714: 1 35357670 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod 2) <= 0 then ((((((2 + 2) * 2) * 2) mod (x + 1)) div 2) - 1) else 0) mod (2 + 1)) + 1)
A102368: 3 1 3 1 3 1 1 1 3 1 2 1 1 1 3 1
(if x <= 0 then 0 else (((x mod ((x mod ((x div (((x div 2) mod 2) + 2)) + 1)) + 1)) div (2 + 1)) + 1))
A165112: 0 1 1 1 1 1 1 1 1 2 1 2 1 3 2 2
((loop(\(x,i).(((((x div 2) + x) + (x * 2)) * 2) * (2 + 1)),(x + 1),1) * (2 + 1)) + 1)
A203872: 55 1135 23815 500095 10501975 220541455 4631370535 97258781215 2042434405495 42891122515375 900713572822855 18914985029279935 397214685614878615 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((((x - (x mod (2 + 1))) * x) mod (((2 + 1) * 2) + 1)) div (2 + 1)),1)
A140130: 1 1 1 1 2 1 1 1 4 2 4 1 2 1 1 1
((loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),(x * 2),((2 + 2) + 1)) * (2 + 1)) - 1)
A233078: 14 662 32414 1588262 77824814 3813415862 186857377214 9156011483462 448644562689614 21983583571791062 1077195595017762014 4611686018427387903 4611686018427387903 4611686018427387903
(((((x + 1) div ((if (x mod (2 + 2)) <= 0 then (2 + 1) else (x mod 2)) + 2)) + 1) div (2 + 1)) + 1)
A006371: 1 1 1 1 1 2 2 2 1 2 3 2 2 2 3 3
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div ((x mod 2) - 2)) + 1) mod (2 + 1)) - 1))
A315405: 1 6 11 15 19 24 30 36 41 45 49 54 60 66 71 75
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1))
A036133: 1 5 25 52 41 59 3 15 2 10 50 31 9 45 6 30
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070420: 1 7 12 10 33 9 26 34 16 1 7 12 10 33 9 26
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(((x * 2) * (2 + 1)) * (2 + 1)),1)
A147717: 1 477638700 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(((x * 2) * (2 + 1)) * (2 + 1)),1)
A147769: 1 1767263190 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1))
A313280: 1 4 9 15 21 26 30 34 39 45 51 56 60 64 69 75
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017658: 1771561 148035889 1838265625 10779215329 42180533641 128100283921 326940373369 735091890625 1500730351849 2839760855281 5053913144281 8550986578849 13867245015625 21691961596369
((((if (x - 1) <= 0 then (2 + 1) else ((x + 2) div ((x mod 2) + 2))) * (x + 1)) mod (2 + 1)) + 1)
A034002: 1 1 1 2 1 1 2 1 1 1 1 1 2 2 1 3
((x + 1) mod ((((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 0) * 2) * (2 + 1)) + 1))
A087263: 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 3
(((1 - ((((if (x mod 2) <= 0 then x else (0 - x)) mod ((2 + 2) + 1)) + 1) div 2)) mod (2 + 1)) - 1)
A330033: 0 1 ~1 ~1 1 0 ~1 1 1 ~1 0 1 ~1 ~1 1 0
(((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A333860: 1 1 2 1 2 2 3 1 3 2 3 2 3 3 4 1
(if x <= 0 then 1 else (((x + 1) * 2) div (((((((x mod 2) * 2) * 2) + 1) * 2) * (2 + 1)) - 1)))
A005868: 1 0 1 0 2 0 2 0 3 0 4 0 5 0 6 1
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) * (2 + 1)) + 1)
A129071: 19 25 37 49 73 85 109 121 145 181 193 229 253 265 289 325
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017610: 117649 47045881 887503681 6321363049 27680640625 90458382169 243087455521 567869252041 1194052296529 2313060765625 4195872914689 7212549413161 11853911588401 18755369578009
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017586: 15625 24137569 594823321 4750104241 22164361129 75418890625 208422380089 496981290961 1061520150601 2081951752609 3814697265625 6611856250609 10942526586601 17416274304961
(((((((if (x mod 2) <= 0 then x else 1) + x) div (2 + 1)) mod ((x div 2) + 1)) + 2) div (2 + 1)) + 1)
A175357: 1 1 2 2 2 2 1 2 1 2 1 3 2 3 2 3
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) - 1))
A016975: 78125 19487171 410338673 3404825447 17249876309 64339296875 194754273881 506623120463 1174711139837 2488651484819 4902227890625 9095120158391 16048523266853 27136050989627
(if x <= 0 then 0 else ((((((((2 + 1) * x) mod ((x div 2) + 2)) + 1) div 2) * 2) div (2 + 1)) + 1))
A333632: 0 1 1 1 1 2 2 1 1 2 1 3 2 3 3 1
(x div (((((((if (x mod 2) <= 0 then 2 else x) + (x div 2)) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1))
A241664: 0 1 1 1 2 1 3 1 2 1 3 1 4 1 2 1
((((((if x <= 0 then 1 else (x - ((2 - x) div (2 + 2)))) * (x + 1)) div 2) div 2) mod (2 + 1)) + 1)
A030410: 1 1 2 2 1 1 1 1 2 1 1 1 1 3 1 2
(if x <= 0 then 0 else (((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) mod (2 + 1)) + 1))
A132468: 0 1 1 1 1 3 1 1 1 3 1 3 1 3 2 1
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070429: 1 7 2 14 4 28 8 9 16 18 32 36 17 25 34 3
(((((((if (((x div 2) - 2) - 2) <= 0 then 1 else (2 + 2)) + x) div 2) + 2) * 2) div (2 + 1)) - 1)
A295629: 0 1 1 1 1 2 2 3 3 3 5 5 5 5 6 6
(if (x mod (2 + 2)) <= 0 then 1 else ((((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1)) + 1))
A103626: 1 1 1 1 1 2 2 2 1 3 4 4 1 5 6 7
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) * (2 + 1)) + 1))
A039711: 2 3 5 7 11 0 4 6 10 3 5 11 2 4 8 1
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 2) * (2 + 1)) - 1))
A159988: 1 1 2 5 3 9 0 0 0 0 10 2 2 4 10 6
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) * (2 + 1)) - 1))
A039709: 2 3 5 7 0 2 6 8 1 7 9 4 8 10 3 9
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) * (2 + 1)) + 1))
A017539: 1 62748517 6103515625 94931877133 678223072849 3142742836021 11047398519097 32057708828125 80798284478113 182803912081669 379749833583241 736141813551277 1347646586640625 2351243277537493
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((((x * 2) * 2) * (2 + 1)) + 1))
A050491: 1 13 50 185 686 2562 9636 36465 138710 529958 2032316 7818538 30161740 116635300 451980360 1754766945
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) * 2) * (2 + 1)) + 1)))
A017406: 1 2985984 148035889 1544804416 8303765625 30840979456 90458382169 225199600704 496981290961 1000000000000 1870414552161 3297303959104 5534900853769 8916100448256 13867245015625
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(x div 2),((((x mod 2) * 2) * (2 + 1)) + 1))
A018680: 1 7 11 77 121 847
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017250: 117649 16777216 244140625 1544804416 6321363049 19770609664 51520374361 117649000000 243087455521 464404086784 832972004929 1418519112256 2313060765625 3635215077376 5534900853769
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017226: 15625 7529536 148035889 1073741824 4750104241 15625000000 42180533641 98867482624 208422380089 404567235136 735091890625 1265319018496 2081951752609 3297303959104 5053913144281
((if ((((x div 2) div (2 + 1)) + x) mod (2 + 1)) <= 0 then 1 else 0) * (((x * 2) mod (2 + 1)) + 1))
A263146: 1 0 0 1 0 0 0 0 2 0 0 2 0 3 0 0
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013900: 9261 37822859361 154472377739119461 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013904: 10648 54875873536 282810057883082752 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013892: 6859 16983563041 42052983462257059 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((((2 + 2) + 1) * x) + (2 + 1)),1)
A013908: 12167 78310985281 504036361936467383 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * 2),(x - 1),((x div 2) - ((x - 1) div (2 + 1)))) + x) div (2 + 1)) + 1)
A191425: 1 1 2 3 5 8 24 24
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 1))
A017179: 1 10000000 893871739 13492928512 94931877133 435817657216 1522435234375 4398046511104 11047398519097 24928547056768 51676101935731 100000000000000 182803912081669 318547390056832
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((((2 + 1) * x) * (2 + 1)) + 1))
A050479: 1 10 38 140 518 1932 7260 27456 104390 398684 1528436 5878600 22673308 87662200 339653880 1318498920
(if x <= 0 then 0 else ((x - ((((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) * x) div (2 + 1))) + 1))
A337868: 0 2 3 3 5 6 7 6 7 10 11 9 13 14 15 11
(2 - (if (x mod ((2 + 2) + 1)) <= 0 then 1 else (((x mod (2 + 2)) + 1) mod ((x mod (2 + 1)) + 1))))
A143477: 1 2 2 2 1 1 2 2 1 2 1 1 2 2 2 1
(((x div 2) div ((x mod ((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else x) + 2)) + 1)) + 1)
A299152: 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 8
loop(\(x,i).(x * 2),compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1)),1)
A073718: 16 64 256 512 1024 4096 16384 32768 65536 262144 1048576 2097152 4194304 16777216 33554432 67108864
((((if (x mod 2) <= 0 then (2 + 2) else ((x + 1) mod ((x mod 2) + 2))) * x) div ((x + 2) + 1)) + 1)
A199570: 1 1 2 1 3 1 3 2 3 1 4 1 4 2 4 1
loop(\(x,i).(x * 2),((((((x div (2 + 2)) + (x * 2)) * (2 + 1)) div 2) + (x div 2)) - 1),1)
A224446: 1 4 64 512 16384 131072 2097152 16777216 1073741824 8589934592 137438953472 1099511627776 35184372088832 281474976710656 4503599627370496 36028797018963968
((x div (((if ((x + 2) mod ((x mod 2) + 2)) <= 0 then 1 else ((2 + 1) * 2)) + (x mod 2)) + 1)) + 1)
A036445: 1 1 2 1 3 1 4 3 5 2 6 2 7 5 8 2
((x mod (((if ((x + 2) mod ((2 + 2) * 2)) <= 0 then 0 else 1) * (x div (2 - (x mod 2)))) + 1)) + 1)
A175542: 1 2 1 4 2 6 1 8 4 10 5 12 6 14 1 16
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((((((2 + 2) * 2) * 2) + 1) * x) + 1),1)
A004022: 11 1111111111111111111 4611686018427387903
((loop(\(x,i).i,(((x * 2) + 1) mod ((((2 + 1) * 2) * (2 + 1)) + 1)),1) mod (x + 1)) + 1)
A068505: 1 2 3 4 5 6 7 8 9 2 3 5 7 9 11 13
(compr(\x.(((x + 1) mod (x - ((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1))) - 1),(x + 1)) + 1)
A166159: 2 3 4 5 7 8 11 12 13 16 17 19 23 29 31 32
(compr(\x.((x mod (((loop(\(x,i).(x * 2),x,1) - (x mod 2)) mod (x + 1)) + 1)) - 1),(x + 1)) + 1)
A339563: 2 3 5 6 7 10 11 13 14 17 19 21 22 23 26 29
(((loop(\(x,i).(x * 2),x,(((2 + 2) * 2) - ((x + 2) div (2 + 1)))) - 1) div (x + 1)) - 1)
A272696: 6 5 8 12 18 30
(compr(\x.((loop(\(x,i).((x * 2) + 1),(x div ((x mod 2) + 1)),1) mod (x + 1)) - 1),(x + 1)) + 1)
A085118-A068422: 2 3 5 6 7 10 11 13 14 17 19 22 23 26 29 31
loop(\(x,i).(i div (2 + 1)),((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)),1)
A321884-A086460: 1 1 0 1 1 0 1 2 2 0 1 3 4 3 0 1
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) - 1))
A017155: 823543 170859375 3404825447 27512614111 137231006679 506623120463 1522435234375 3938980639167 9095120158391 19203908986159 37725479487783 69833729609375 122987386542487 207616015289871
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) + ((2 + 2) * (x + 1))) - 1)
A227265: 3 8 16 30 54 93 153 241 365 534 758 1048 1416 1875 2439 3123
loop(\(x,i).(((((((i * 2) - 1) * x) * 2) div (i + 1)) + x) * ((2 + 2) + 1)),(x - 1),1)
A025750: 1 1 10 150 2625 49875 997500 20662500 439078125 9513359375 209293906250 4661546093750 104884787109375 2380077861328125 54401779687500000 1251240932812500000
(x - (((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then (x div (0 - 2)) else 0) div 2) - 1))
A132128: 1 2 4 4 5 8 7 8 9 13 11 12 13 14 19 16
(2 - (if (2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) <= 0 then ((x div 2) div (0 - 2)) else 1))
A183110: 1 2 1 3 3 1 4 4 4 1 5 5 5 5 1 6
((loop(\(x,i).(((x div (((x div 2) mod ((x mod 2) + 2)) + 1)) + 1) + (x + 1)),x,0) div 2) + 1)
A043868-A043859-A043851-A043844-A043838: 1 2 3 5 10 15 21 42 63 85 170 255 341 682 1023 1365
((loop(\(x,i).i,((x div 2) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)),1) * 2) - 1)
A307410-A305444: 1 1 1 1 3 1 5 1 1 3 9 1 11 5 3 1
((((x div ((loop(\(x,i).((i + x) * (2 + 1)),x,0) mod ((x * 2) + 1)) + 1)) + 1) div 2) + 1)
A218775: 1 2 2 1 2 1 2 2 1 3 1 1 1 2 1 3
(x div ((((x div (if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then 2 else 1)) + 1) div 2) + 1))
A249809: 0 1 1 1 2 1 2 1 1 3 1 1 3 1 1 1
(((((((loop(\(x,i).(x * 2),x,1) + 2) + 2) + 1) * (((2 + 1) * 2) + 1)) + 1) * 2) + 1)
A305266: 87 101 129 185 297 521 969 1865 3657 7241 14409 28745 57417 114761 229449 458825
((((x mod ((x div ((loop(\(x,i).(x * 2),x,(2 + 1)) mod (x + 1)) + 2)) + 1)) + 1) div 2) + 1)
A333940: 1 1 1 2 1 2 1 3 1 2 2 4 1 2 1 5
((((loop(\(x,i).((x + 2) - ((1 - x) div (2 + 1))),x,1) div ((2 + 2) + 1)) + 1) div 2) + 1)
A147663: 1 1 2 2 3 3 4 5 7 9 12 16 21 28 37 50
(((((x * 2) + 1) div ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) * (2 + 1)) + 1)) * 2) + 1)
A135561: 3 7 1 15 1 3 1 31 1 3 1 7 1 3 1 63
((((((x div (2 + 1)) + 1) div ((loop(\(x,i).(x * 2),x,1) mod (x + 2)) + 1)) + 1) div 2) + 1)
A319864: 1 1 2 1 1 1 3 2 1 1 1 1 1 2 4 1
(((x mod (((loop(\(x,i).(x * 2),(x div ((x mod 2) + 2)),2) - 1) mod (x + 1)) + 1)) * 2) + 1)
A135540: 1 3 1 7 3 3 1 15 7 7 3 7 3 3 1 31
((x mod 2) - (((((x + 1) div loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1))) + 1) div 2) + 1))
A118824: ~2 1 ~2 2 ~2 1 ~2 4 ~2 1 ~2 2 ~2 1 ~2 8
((loop(\(x,i).((x - (((x div (2 + 1)) + x) div ((2 + 2) + 1))) * 2),(x - 1),1) div 2) + 1)
A068921: 1 1 2 3 4 6 9 13 19 28 41 60 88 129 189 277
(2 - (x div (0 - (((x + 1) mod (((if (x mod ((x mod 2) + 2)) <= 0 then 0 else 2) + 1) * 2)) + 1))))
A064916: 2 3 3 5 4 7 5 5 6 11 7 13 8 7 9 17
((((loop(\(x,i).(((((x + 2) * 2) * 2) + x) * 2),((x * 2) - 1),1) * 2) - 1) * 2) - 1)
A267920: 1 101 11101 1111101 111111101 11111111101 1111111111101 111111111111101 11111111111111101 1111111111111111101 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x + 1) * 2) - (((x div ((((x - 1) mod (2 + 1)) * 2) + 1)) mod 2) - 1)))
A007656: 1 4 7 9 11 12 14 16 19 20 23 24 27 28 31 32
(if x <= 0 then 0 else ((((x div (2 + 1)) + 1) div ((((x + 2) mod ((2 + 1) * 2)) + 1) * 2)) + 1))
A253642: 0 1 1 1 2 1 1 1 1 1 3 2 1 1 1 1
(((((x + 2) mod (((loop(\(x,i).(x * 2),x,(2 + 2)) - 1) mod (x + 1)) + 2)) + 1) div 2) + 1)
A097028: 1 1 1 1 2 2 3 1 2 2 2 3 3 4 1 1
((((((loop(\(x,i).(x * 2),x,1) div (((x + 2) * x) + 2)) * (x + 1)) div 2) + 1) div 2) + 1)
A304887: 1 1 1 1 1 1 3 3 8 14
(((x mod (((if ((x + 2) mod ((x div ((2 + 2) + 1)) + 2)) <= 0 then 0 else 2) * 2) + 1)) div 2) + 1)
A240595-A083671: 1 1 1 2 1 1 1 1 2 3 1 1 2 2 1 1
loop(\(x,i).(x * x),1,(((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) div 2) + 1))
A065730: 1 1 4 4 9 9 16 16 16 25 25 36 36 36 36 49
((loop(\(x,i).(x * x),1,(((((((2 + 2) * 2) + x) + 2) * 2) * (2 + 2)) + 1)) * 2) - 1)
A157433: 13121 15841 18817 22049 25537 29281 33281 37537 42049 46817 51841 57121 62657 68449 74497 80801
((((compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),x) * (2 + 2)) + 1) * 2) + 1)
A252802: 3 11 19
A213540: 3 11 19 35 43 67 75 83 131 139 147 163 171 259 267 275
(((((((loop(\(x,i).(((x - 2) * x) div 2),2,x) div (x + 1)) + x) div 2) div 2) + 1) div 2) + 1)
A089333: 1 1 1 1 2 2 3 4 6 8 11 14 19 24 31 39
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) * 2) + 1) * 2) + 1))
A017107: 2187 19487171 893871739 10460353203 64339296875 271818611107 897410677851 2488651484819 6060711605323 13348388671875 27136050989627 51676101935731 93206534790699 160578147647843
(((x mod (((if (x mod 2) <= 0 then (x div (((2 + 1) * 2) + 1)) else 0) + 1) * (2 + 1))) div 2) + 1)
A204901: 1 1 2 1 1 2 1 1 2 1 3 2 1 1 3 1
(((((loop(\(x,i).(((x * 2) + 1) * 2),(x - 2),1) div (2 + 1)) + 1) div (2 + 1)) * 2) + 1)
A120540: 1 1 1 3 7 25 95
(((((loop(\(x,i).((x * 2) - ((x div 2) mod 2)),x,2) - 1) div (2 + 1)) * (2 + 1)) div 2) + 1)
A263366: 1 1 2 5 10 19 37 73 146 293 586 1171 2341 4681 9362 18725
((x + 1) mod ((((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)) * 2) + 1))
A108498: 0 0 0 0 2 0 0 2 0 0 0 2 3 4 0 0
((loop(\(x,i).(x * x),1,(x - (((((1 - x) * (2 + 2)) - 1) * 2) * (2 + 1)))) * 2) + 1)
A154358: 649 99 2049 6499 13449 22899 34849 49299 66249 85699 107649 132099 159049 188499 220449 254899
((((((loop(\(x,i).(((x + 2) + 2) * 2),x,1) mod (x + 1)) div 2) + 2) div (2 + 1)) * 2) + 1)
A328575: 1 1 1 1 1 3 1 1 1 1 1 3 1 5 5 5
((x div (((if (x mod 2) <= 0 then (((2 + 1) * 2) + 1) else x) mod ((2 + 2) * (2 + 1))) + 2)) + 1)
A329198: 1 1 1 1 1 1 1 1 1 1 2 1 2 5 2 4
(x - ((((1 - (((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2))) div (2 + 1)) * 2) - 1))
A003157: 3 8 11 14 19 24 29 32 35 40 43 46 51 54 57 62
loop(\(x,i).((x * 2) * (2 + 1)),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A256136: 1 6 6 36 6 36 36 216 6 36 36 216 36 216 216 1296
(x - loop(\(x,i).((x * 2) + 1),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1))
A064405: ~1 ~2 ~1 ~4 1 ~2 ~1 ~8 5 2 3 ~4 5 ~2 ~1 ~16
loop(\(x,i).(((2 + 1) * x) - 1),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A162784: 1 2 2 5 2 5 5 14 2 5 5 14 5 14 14 41
loop(\(x,i).(((i + 2) * x) div 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A050315: 1 1 1 2 1 2 2 5 1 2 2 5 2 5 5 15
loop(\(x,i).(((2 + 2) + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A256135: 1 5 5 25 5 25 25 125 5 25 25 125 25 125 125 625
loop(\(x,i).(((2 + 1) * x) - 1),(((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A079318: 1 1 1 2 1 2 2 5 1 2 2 5 2 5 5 14
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * (((2 + 1) * 2) + 1))
A175775: 49 679 6979 69979 699979 6999979 69999979 699999979 6999999979 69999999979 699999999979 6999999999979 69999999999979 699999999999979 6999999999999979 69999999999999979
((1 - (if (2 - (x div (2 + 2))) <= 0 then (x mod ((2 + 2) * 2)) else 1)) * (((2 + 1) * 2) + 1))
A055957: 0 0 0 0 0 0 0 0 7 0 ~7 ~14 ~21 ~28 ~35 ~42
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) mod (((2 + 1) * 2) + 1))
A122601: 3 4 6 1 5 0 4 6 3 2 4 3 0 2 6 5
(loop(\(x,i).((((x * 2) * 2) + 1) * 2),(x div 2),((x mod 2) + 1)) * (((2 + 1) * 2) + 1))
A117867: 7 14 70 126 574 1022 4606 8190 36862 65534 294910 524286 2359294 4194302 18874366 33554430
((((loop(\(x,i).(x - ((((x + 1) div 2) div (2 + 1)) - 1)),2,x) + x) * (2 + 1)) div 2) - 1)
A277574: 2 5 8 11 12 14 17 20 23 26 29 30 32 35 38 41
(if x <= 0 then 1 else (((x + 1) mod (((x div (((((2 + 2) * 2) * 2) - x) * 2)) + 1) * 2)) + 1))
A058656: 1 1 2 1 2 1 2 1 2 1 2 1 2 3 8 1
((((if (x mod (2 + 1)) <= 0 then 1 else ((x div 2) - ((2 + 2) * 2))) mod ((x div 2) + 1)) div 2) + 1)
A102541: 1 1 1 1 1 1 1 2 1 1 2 2 1 3 4 1
loop(\(x,i).((x * x) * 2),1,(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1))
A168281: 2 2 2 2 8 2 2 8 8 2 2 8 18 8 2 2
loop(\(x,i).(((2 + 2) + 1) * x),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1)
A152717: 1 1 1 1 5 1 1 5 5 1 1 5 25 5 1 1
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017310: 729 4826809 148035889 1291467969 6321363049 22164361129 62523502209 151334226289 326940373369 646990183449 1194052296529 2081951752609 3462825991689 5534900853769 8550986578849
((loop(\(x,i).(((x div (((i * x) mod (((2 + 1) * 2) + 1)) + 1)) + x) + 1),x,1) * 2) + 1)
A020575: 3 5 7 11 13 19 23 47
((loop(\(x,i).(((((x mod (x - ((x + 1) mod (2 + 1)))) + x) div 2) + x) + 1),x,1) div 2) + 1)
A033320: 1 2 3 4 7 10 16 24 36 54 81 122 183 275 412 619
((x + 1) div ((((loop(\(x,i).(x * 2),x,(2 - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1))
A078833-A039634: 1 2 3 2 5 3 7 2 2 5 11 3 13 7 7 2
((x * 2) div (x - (((loop(\(x,i).((x * 2) - (i mod 2)),x,(x + 1)) mod (x + 1)) div 2) - 1)))
A325759: 0 1 1 2 1 2 1 2 1 3 1 2 1 3 3 2
((loop(\(x,i).(((x - 1) * x) div 2),2,((x div 2) - 1)) div (2 + 1)) * (((x + 1) div 2) + 1))
A047179: 0 0 0 0 0 0 0 0 5 6 30 35 105 120 280 315
((((if ((x mod (2 + 1)) - 1) <= 0 then 2 else 0) + 1) div (2 - (x mod 2))) * (((x + 1) div 2) + 1))
A323606: 1 6 0 9 3 4 4
(((((if (x mod 2) <= 0 then 1 else (((x * 2) - (x mod 2)) * (2 + 1))) + x) * (x + 1)) div 2) + 1)
A269876: 1 5 5 37 13 97 25 185 41 301 61 445 85 617 113 817
((x + 1) div ((((((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1) - x) mod (x + 1)) * 2) + 1))
A118816: 1 0 1 1 1 0 2 2 1 3 3 1 4 4 1 5
(((loop(\(x,i).(x - (((((x + 1) * 2) mod ((x div 2) + 2)) div 2) - 1)),x,x) + 1) div 2) + 1)
A071112: 1 2 3 3 3 4 4 6 6 6 7 7 7 7 8 8
(((((x div (((loop(\(x,i).(x * 2),(x - 2),2) - 1) mod (x + 1)) + 1)) + 1) div 2) * 2) + 1)
A275367-A023136: 1 1 3 1 3 3 3 1 5 3 3 3 3 3 9 1
((((loop(\(x,i).((x + 1) * (2 + 1)),(x div (2 + 1)),(x mod (2 + 1))) + 1) * 2) * 2) - 1)
A145052: 3 7 11 15 27 39 51 87 123 159 267 375 483 807 1131 1455
((((loop(\(x,i).(((x + 1) * x) - (x div (2 div ((x mod 2) - 2)))),x,1) + 1) div 2) * 2) + 1)
A175138: 3 5 15 225 50625 2562890625 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) div (((((x div ((loop(\(x,i).(i * x),x,2) mod (x + 1)) + 2)) + 1) div 2) * 2) + 1))
A340078-A323071-A055023: 1 2 3 1 5 2 7 1 1 2 11 1 13 2 1 1
((if (x mod (2 + 1)) <= 0 then 2 else 1) mod (((((x + 2) mod (((2 + 2) * 2) + 1)) mod 2) * 2) + 1))
A191250: 0 1 0 2 0 1 0 0 1 0 1 0 2 0 1 0
((x div ((((loop(\(x,i).((x + 1) * 2),x,2) * x) mod (((2 + 2) * 2) + 1)) + 2) + 2)) + 1)
A090680: 1 1 1 1 1 2 1 1 2 3 1 3 2 2 2 4
loop(\(x,i).i,(((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * 2) * 2),1)
A173675: 1 1 1 1 1 4 1 1 1 4 1 8 1 4 4 1
((x - 1) mod ((if x <= 0 then 1 else (((x mod ((x mod ((x div (2 + 2)) + 2)) + 1)) div 2) * 2)) + 1))
A092669: 1 0 0 0 0 1 0 0 0 0 0 1 0 0 3 0
((loop(\(x,i).(x * x),1,((((((2 + 2) + 1) * x) - 1) * ((2 + 2) + 1)) - 2)) * 2) + 1)
A154359: 99 649 3699 9249 17299 27849 40899 56449 74499 95049 118099 143649 171699 202249 235299 270849
((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) + 1)
A249034: 5 13 17 21 29 37 45 49 53 61 65 69 77 81 85 93
((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) - 1)
A131323: 3 11 15 19 27 35 43 47 51 59 63 67 75 79 83 91
((((loop(\(x,i).(((x div (((2 + 2) * 2) + 1)) + x) + 2),x,1) div (2 + 1)) + 2) + 2) + 1)
A120206: 5 6 6 7 8 9 10 11 12 13 15 16 18 20 22 25
((((((if (x mod 2) <= 0 then (1 - ((x mod (2 + 2)) * 2)) else x) + x) * (2 + 1)) div 2) div 2) + 1)
A249693: 1 2 0 5 4 8 3 11 7 14 6 17 10 20 9 23
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + 1))
A017131: 78125 62748517 1801088541 17249876309 94931877133 373669453125 1174711139837 3142742836021 7446353252589 16048523266853 32057708828125 60170087060757 107213535210701 182803912081669
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - (((((x * 2) + 1) * 2) * 2) + 1)))
A017046: 15625 2985984 47045881 308915776 1291467969 4096000000 10779215329 24794911296 51520374361 98867482624 177978515625 304006671424 496981290961 782757789696 1194052296529 1771561000000
(((x + 2) div (2 + 1)) mod ((((((if (x mod 2) <= 0 then 1 else x) * (x div 2)) + 1) div 2) div 2) + 1))
A082650: 0 0 0 1 0 2 0 3 1 3 0 4 0 5 2 5
(((((loop(\(x,i).((((i div (2 + 1)) + 2) * (i + 1)) + x),x,x) div 2) + 1) div 2) div 2) + 1)
A008764: 1 1 2 4 6 8 12 16 21 27 34 42 52 62 74 88
(((loop(\(x,i).(((((((x div (2 + 2)) + x) div 2) + 1) div 2) + x) + 1),x,1) div 2) div 2) + 1)
A018052: 1 1 2 2 3 4 5 7 9 12 16 21 27 36 47 62
(x - (loop(\(x,i).(((x div 2) + 1) * 2),(x div ((2 + 2) * 2)),(((x + 1) div 2) div 2)) - 1))
A335152-A064047: 1 2 3 3 4 5 6 6 5 6 7 8 9 10 11 10
(((x - (x div ((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 2) + 2))) div 2) + 1)
A300066: 1 1 2 2 2 3 2 4 4 3 5 5 4 6 4 7
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) * 2) * 2) + 1)
A129074: 25 33 49 65 97 113 145 161 193 241 257 305 337 353 385 433
((((if x <= 0 then 1 else ((((((2 + 1) * 2) + 1) * x) - (x div (2 + 1))) * 2)) + 2) + 2) + 1)
A063147: 6 19 33 45 59 73 85 99 113 125 139 153 165 179 193 205
(x - ((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) + (((x + 1) div 2) div 2)) * 2) - 1))
A065362: 1 2 3 2 3 4 5 4 5 6 7 6 7 8 9 4
((((2 - (x mod 2)) * (if x <= 0 then 1 else 2)) * (2 + 1)) mod (((((x + 1) div 2) div 2) * 2) - 1))
A286651: 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 6
(loop(\(x,i).((2 + 1) * x),(((x mod 2) * x) div 2),1) mod (((((x + 1) div 2) div 2) * 2) - 1))
A116992: 0 0 0 0 0 0 0 0 1 0 1 3 1 4 1 3
(((((loop(\(x,i).(x * x),(x * 2),(((2 + 2) + 1) * (x + 1))) div 2) + 2) + 2) * 2) + 1)
A173840: 13 10009 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * 2) * 2) + 1))
A193063-A165132: 2 3 5 7 11 13
A039715: 2 3 5 7 11 13 0 2 6 12 14 3 7 9 13 2
((loop(\(x,i).((x + 1) * 2),(2 + 1),(x + 1)) * (x + 2)) div ((((2 + 2) * 2) * 2) + 1))
A122221: 2 5 8 13 19 25 32 41 50 60 72 84 97 111 126 142
loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)),x,((((2 + 2) * 2) * 2) + 1))
A063941: 17 663 25857 1008423 39328497 1533811383 59818643937 2332927113543 90984157428177 3548382139698903 138386903448257217 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1) * ((((2 + 2) * 2) * 2) - 1))
A177080: 15 465 4965 49965 499965 4999965 49999965 499999965 4999999965 49999999965 499999999965 4999999999965 49999999999965 499999999999965 4999999999999965 49999999999999965
((loop(\(x,i).((x + 2) * x),2,((x * 2) + 1)) * (x + 1)) div ((((2 + 2) * 2) * 2) - 1))
A081219: 1 34 259 1092 3333 8294 17927 34952 62985 106666 171787 265420 396045 573678 809999 1118480
(((loop(\(x,i).((x - i) * x),2,(x - 1)) div 2) * (x + 1)) div ((((2 + 2) * 2) * 2) - 1))
A210569: 0 0 0 0 4 24 84 224 504 1008 1848 3168 5148 8008 12012 17472
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * 2) * ((((2 + 2) * 2) * 2) - 1))
A177097: 30 570 5970 59970 599970 5999970 59999970 599999970 5999999970 59999999970 599999999970 5999999999970 59999999999970 599999999999970 5999999999999970 59999999999999970
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * 2) * 2) - 1))
A193063-A165132: 2 3 5 7 11 13
A039713: 2 3 5 7 11 13 2 4 8 14 1 7 11 13 2 8
(if x <= 0 then 1 else ((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)))
A122083: 1 0 0 0 1 0 0 1 1 0 0 1 3 1 0 0
(1 - ((((x + 1) * 2) + 1) mod loop(\(x,i).i,((x * 2) mod (((x div (2 + 2)) + 2) + 2)),1)))
A109466: 1 0 1 0 ~1 1 0 0 ~2 1 0 0 1 ~3 1 0
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * 2),1) div (((((x mod 2) * 2) * 2) * 2) + 1))
A267035: 1 11 10000 111111 100000000 1111111111 1000000000000 11111111111111 10000000000000000 111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((i + 2) * x) + 2) * (2 + 1)),2,x) * (x + 1)) * (((2 + 2) * 2) + 1))
A305071: 702 3348 7938 14472 22950 33372 45738 60048 76302 94500 114642 136728 160758 186732 214650 244512
((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1) * 2) * (((2 + 2) * 2) + 1))
A177098: 18 558 5958 59958 599958 5999958 59999958 599999958 5999999958 59999999958 599999999958 5999999999958 59999999999958 599999999999958 5999999999999958 59999999999999958
((((x mod (if ((x div (2 + 2)) - 2) <= 0 then 1 else (2 + 2))) + x) + 2) + (((2 + 2) * 2) + 1))
A162903: 11 12 13 14 15 16 17 18 19 20 21 22 23 25 27 29
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017634: 531441 85766121 1291467969 8303765625 34296447249 107918163081 282429536481 646990183449 1340095640625 2565164201769 4608273662721 7858047974841 12827693806929 20179187015625
(loop(\(x,i).(((((i + 2) + 2) * (i + 1)) div 2) + x),x,2) * ((((x + 2) + 2) + 2) + 1))
A212347: 14 56 144 300 550 924 1456 2184 3150 4400 5984 7956 10374 13300 16800 20944
((((((loop(\(x,i).(((x + 2) * 2) * ((2 + 2) + 1)),x,0) + x) + x) + 2) * 2) * 2) + 1)
A232229: 9 97 905 8913 88921 888929 8888937 88888945 888888953 8888888961 88888888969 888888888977 8888888888985 88888888888993 888888888889001 8888888888889009
(((((2 + 2) * (x - 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) mod (2 + 2)) + 1)
A070940: 1 1 2 1 3 2 3 1 4 3 4 2 4 3 4 1
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A070427: 1 7 4 28 16 22 19 43 31 37 34 13 1 7 4 28
((((loop(\(x,i).((x + 1) * x),2,(x + 1)) * (x + 1)) * 2) * (2 + 1)) * ((2 + 2) + 1))
A099106: 180 2520 14040
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((x * 2) + 1) * ((2 + 2) + 1)))
A017335: 78125 170859375 6103515625 64339296875 373669453125 1522435234375 4902227890625 13348388671875 32057708828125 69833729609375 140710042265625 266001988046875 476837158203125 817215093984375
((compr(\x.(loop(\(x,i).(((x * x) * 2) * (x + 1)),2,2) mod (x + 1)),x) + 1) * ((2 + 2) + 1))
A080193: 5 10 15 20 25 30 40 45 50 60 75 80 90 100 120 125
((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * ((2 + 2) + 1))
A085128: 5 10 15 20 25 30 35 40 45 50 60 70 75 80 90 100
((((x * x) * x) * (x * x)) div loop(\(x,i).(((x * x) * x) * (x * x)),1,((2 + 2) + 1)))
A185721: 0 0 0 0 0 1 2 5 10 18 32 51 79 118 172 243
(((loop(\(x,i).((x * 2) * 2),x,1) div (((2 + 2) * (2 + 1)) + 1)) + 2) div ((2 + 2) + 1))
A135450: 0 0 0 1 4 16 63 252 1008 4033 16132 64528 258111 1032444 4129776 16519105
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x + 1),1) + (((x + 1) * 2) * ((2 + 2) + 1)))
A173393: 22 164 1758 20776 248882 2986044 35831878 429981776 5159780442 61917364324 743008370798 8916100448376 106993205379202 1283918464549004 15407021574586518 184884258895036576
loop(\(x,i).(((x * x) * x) * (x * x)),1,(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))))
A017501: 59049 3200000 28629151 130691232 418195493 1073741824 2373046875 4704270176 8587340257 14693280768 23863536599 37129300000 55730836701 81136812032 115063617043 159494694624
((loop(\(x,i).(((((x * x) div (2 + 1)) + x) div 2) + 2),2,(x - 1)) div 2) div ((2 + 2) + 1))
A026811: 0 0 0 0 0 1 1 2 3 5 7 10 13 18 23 30
((((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2) * 2) div ((2 + 2) + 1))
A253556-A252735: 0 0 1 0 2 1 3 0 1 2 4 1 5 3 2 0
(((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * 2) * 2) * 2) * ((2 + 2) + 1))
A175603: 40 760 7960 79960 799960 7999960 79999960 799999960 7999999960 79999999960 799999999960 7999999999960 79999999999960 799999999999960 7999999999999960 79999999999999960
(2 div (((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 2) mod ((2 + 2) + 1)))
A002654: 1 1 0 1 2 0 0 1 1 2 0 0 2 0 0 1
(((loop(\(x,i).(((((i + 1) * i) div 2) + x) + 2),(x + 2),2) + 2) * 2) div ((2 + 2) + 1))
A026042: 4 8 12 19 28 40 56 74 97 124 156 194 236 285 340 402
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) - (((x mod 2) * 2) * ((2 + 2) + 1)))
A284351: 1 1 111 1101 11111 111101 1111111 11111101 111111111 1111111101 11111111111 111111111101 1111111111111 11111111111101 111111111111111 1111111111111101
loop(\(x,i).((x + 2) * x),1,(x - (((((2 + 2) * (x + 1)) + x) * 2) * ((2 + 2) + 1))))
A157375: 1520 7743 18768 34595 55224 80655 110888 145923 185760 230399 279840 334083 393128 456975 525624 599075
(((x - (if ((x div 2) - 2) <= 0 then ((x div ((2 + 2) + 1)) - 1) else 1)) + x) * ((2 + 2) + 1))
A277592-A121025: 5 15 25 35 45 50 55 65 75 85 95 105 115 125 135 145
((if x <= 0 then 1 else (x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1)))) + (x div ((2 + 2) + 1)))
A017841: 1 0 0 0 0 1 1 1 1 1 2 2 3 4 5 7
((x - ((((x div 2) mod (2 + 2)) - (if x <= 0 then 1 else x)) div (2 + 2))) + (x div ((2 + 2) + 1)))
A293205-A046687: 1 2 3 4 5 7 8 9 11 13 15 16 17 18 19 21
(((((2 + 2) + 1) * 2) * 2) div (if (x mod ((2 + 2) + 1)) <= 0 then 1 else (x mod ((2 + 2) + 1))))
A217517: 20 20 10 6 5 20 20 10 6 5 20 20 10 6 5 20
(((((loop(\(x,i).((((x - (x div (2 + 2))) div 2) + x) + 2),x,2) div 2) + x) div 2) div 2) + 1)
A323360: 1 1 2 3 4 6 8 10 14 19 25 34 46 62 84 115
((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2)) + ((x * x) div (((x + 2) + 2) + 1)))
A325101: 0 1 2 4 5 7 9 11 12 14 16 18 20 22 24 28
(((loop(\(x,i).(x * 2),(((x div (2 + 1)) + x) div ((2 + 2) + 1)),1) + (x * 2)) div 2) + 1)
A031942: 1 2 3 4 6 7 8 9 11 12 13 14 17 18 19 24
loop(\(x,i).(((x * 2) * 2) * 2),(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),1)
A241756: 1 8 512 4096 2097152 16777216 1073741824 8589934592 35184372088832 281474976710656 18014398509481984 144115188075855872 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(((x * 2) - (x mod (2 + 2))) * 2),2,(x div 2)) + 1) + (x mod 2)) * 2) + 1)
A147568: 3 5 11 13 35 37 43 45 131 133 139 141 163 165 171 173
((loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,(((2 + 2) * (2 + 1)) + 1)) + 1) * (2 + 1))
A304613: 42 129 303 651 1347 2739 5523 11091 22227 44499 89043 178131 356307 712659 1425363 2850771
((loop(\(x,i).(((((2 + 2) * 2) * 2) + x) * 2),x,(((2 + 2) * 2) + 1)) - 1) * (2 + 1))
A305160: 24 147 393 885 1869 3837 7773 15645 31389 62877 125853 251805 503709 1007517 2015133 4030365
((((loop(\(x,i).((((x + 2) + 2) + 2) * 2),(x + 1),1) - 1) * (2 + 1)) - 1) * (2 + 1))
A305066: 114 348 816 1752 3624 7368 14856 29832 59784 119688 239496 479112 958344 1916808 3833736 7667592
(((loop(\(x,i).((2 + 1) * x),x,1) - 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) div (2 + 1))
A087778: 6 0 2 2 1 4 1
((x * 2) div loop(\(x,i).(x * 2),(((x * x) * x) mod (((2 + 2) * (2 + 1)) - 1)),(2 + 1)))
A221388: 0 0 0 0 0 0 0 1 0 0 0 7 4 0 0 0
(((((loop(\(x,i).((1 - x) * 2),x,((x mod 2) * 2)) div (x + 1)) + 1) div 2) + 1) mod (2 + 1))
A255317: 1 1 1 0 0 1 1 2 1 0 0 1 1 1 0 1
((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) + ((x + 1) div (2 + 1)))) * 2) + 1) div (2 + 1))
A314218: 1 5 11 17 22 28 33 39 45 50 55 61 67 72 78 83
((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) - ((x + 1) div (2 + 1)))) * 2) + 1) div (2 + 1))
A313773: 1 5 10 15 21 25 31 36 41 46 51 56 61 67 71 77
(((loop(\(x,i).((((i + 1) * i) * (i + 1)) + (x * 2)),(x - 2),1) div 2) + 1) div (2 + 1))
A056782: 0 0 0 1 5 18 53 135
((((((loop(\(x,i).(i * x),(x - 1),1) + (x mod 2)) - 1) * (x + 1)) div 2) + 1) div (2 + 1))
A204199: 0 0 0 1 4 24 139
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((x + 1) div (2 + 1))) * 2)) * 2) + 1) div (2 + 1))
A315050: 1 5 9 15 20 24 29 35 39 44 49 53 59 64 68 73
(((((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) + (2 + 2)) * 2) * 2) + 1) div (2 + 1))
A210147: 7 8 9 11 12 13 15 16 17 19 21 23 24 25 27 28
(if x <= 0 then 0 else (((((x * 2) mod (((x div (2 + 2)) + 2) + 2)) mod (2 + 2)) + 1) mod (2 + 1)))
A083856: 0 0 1 0 1 1 0 1 1 1 0 1 1 2 1 0
((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) mod ((2 + 2) + 1)) mod (2 + 1))
A101650: 0 0 1 0 2 1 2 0 0 2 1 1 1 2 0 0
(((((((x div 2) + 1) div (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) div (2 + 1))
A108581: 1 3 3 3 6 6 6 6 6 6 10 10 10 10 10 10
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((2 + 2) + 1)) mod (2 + 1))
A244738: 2 0 0 2 1 0 2 1 0 1 1 2 1 0 2 0
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) * 2) + 1) * (2 + 1)))
A017563: 2187 170859375 10460353203 137231006679 897410677851 3938980639167 13348388671875 37725479487783 93206534790699 207616015289871 425927596977747 817215093984375 1483273860320763 2569093262823519
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) * 2) + 1) * (2 + 1))))
A017430: 729 7529536 244140625 2176782336 10779215329 38068692544 107918163081 262144000000 567869252041 1126162419264 2081951752609 3635215077376 6053445140625 9685390482496 14976071831449
((loop(\(x,i).((((((i mod 2) + 2) + 2) * 2) + 1) * x),(x + 1),1) div (2 + 1)) div (2 + 1))
A080445: 1 11 121 1089 11979 107811 1185921 10673289 117406179 1056655611 11623211721 104608905489 1150697960379 10356281643411 113919098077521 1025271882697689
(((loop(\(x,i).(i * x),x,((((x - 2) * x) * (x - 1)) div 2)) div 2) div (2 + 1)) div (2 + 1))
A001810: 0 0 0 1 16 200 2400 29400 376320 5080320 72576000 1097712000 17563392000 296821324800 5288816332800 99165306240000
(loop(\(x,i).(((((x * x) * (x + 2)) * 2) * 2) * (x + 1)),1,((x + 2) + 1)) div (2 + 1))
A202196: 240 640 1400 2688 4704 7680 11880 17600 25168 34944 47320 62720 81600 104448 131784 164160
(((loop(\(x,i).((x * 2) * 2),x,(x + 1)) * ((x * 2) + 1)) * ((x + 2) + 1)) div (2 + 1))
A068548: 1 32 400 3584 26880 180224 1118208 6553600 36765696 199229440 1049624576 5402263552 27262976000 135291469824 661693399040 3195455668224
(((1 - (x mod ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2))) * ((x * 2) + 1)) mod (2 + 1))
A106594: 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 2
((loop(\(x,i).(((((x div 2) div ((x mod 2) + 1)) + 1) * x) div 2),(2 + 1),x) + 1) mod (2 + 1))
A079409: 1 1 0 1 1 0 1 2 0 0 1 1 1 0 0 1
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) + 1) * (2 + 1)))
A017203: 2187 35831808 1801088541 21870000000 137231006679 587068342272 1954897493193 5455160701056 13348388671875 29509034655744 60170087060757 114868566764928 207616015289871 358318080000000
(loop(\(x,i).(1 - (((x mod (2 + 1)) - 1) mod ((x mod (2 + 2)) + 1))),1,(x + 1)) mod (2 + 1))
A259287: 1 0 1 1 0 2 1 1 0 1 0 1 1 0 1 1
((x - compr(\x.(1 - (x mod ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2))),(x + 1))) mod (2 + 1))
A092606: 0 2 1 0 0 0 2 1 0 2 1 0 2 1 0 0
(((((if ((2 - x) + 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * 2) * (x + 1)) * (2 + 1))
A019550: 12 24 36 48 510 612 714 816 918 1020 1122 1224 1326 1428 1530 1632
(loop(\(x,i).((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2),2,(x + 1)) mod (2 + 1))
A253189-A111373: 1 0 1 0 0 1 1 0 0 1 0 2 0 0 1 0
((if x <= 0 then 1 else ((((((x div 2) mod 2) + x) div 2) + (x * 2)) * 2)) - ((x + 1) div (2 + 1)))
A313193: 1 4 9 15 19 22 28 34 37 41 47 52 56 60 65 71
((((((x div 2) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2))) + ((x + 1) div (2 + 1)))
A310440: 1 4 10 15 19 24 29 34 39 43 48 54 58 62 68 73
((((((x div 2) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2))) - ((x + 1) div (2 + 1)))
A058759: 1 4 8 13
A301672: 1 4 8 13 17 20 25 30 33 37 42 46 50 54 58 63
((((x * 2) * 2) - ((((x div 2) mod 2) - (if x <= 0 then 1 else x)) div 2)) + ((x + 1) div (2 + 1)))
A313575: 1 5 10 14 19 25 29 33 39 44 48 53 58 63 68 72
((compr(\x.loop(\(x,i).(x div (2 - (((x div (2 + 2)) * (x + 1)) mod 2))),x,x),x) + 1) * (2 + 1))
A173195: 3 6 9 12 18 24 33 36 48 66 72 96 129 132 144 192
(((if x <= 0 then 2 else ((x mod (((x div ((2 - (x mod 2)) + 1)) * 2) + 1)) + 1)) * 2) div (2 + 1))
A096577: 1 0 0 0 1 0 1 0 2 0 2 0 2 0 4
((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod ((2 + 2) + 1)) + 1) * 2) div (2 + 1))
A035204: 1 1 2 1 0 2 2 1 3 0 1 2 2 2 0 1
((loop(\(x,i).(((x * x) - 1) * x),1,((((2 + 2) + 1) * (x + 1)) + 1)) div 2) div (2 + 1))
A300523: 35 220 680 1540 2925 4960 7770 11480 16215 22100 29260 37820 47905 59640 73150 88560
((((loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),x,1) div (x + 1)) + 1) * 2) mod (2 + 1))
A035178: 1 1 1 1 0 1 2 1 1 0 0 1 2 2 0 1
((((loop(\(x,i).(i * x),(((x - (x div (0 - 2))) * 2) + 1),1) - 2) + 1) div 2) div (2 + 1))
A139194: 0 19 839 6652799 1037836799 59281238015999 20274183401471999 4611686018427387903 4611686018427387903 4611686018427387903
((((((loop(\(x,i).((x - 2) * 2),x,(x + 2)) div (x + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))
A340653: 1 1 1 0 1 0 1 1 0 0 1 2 1 0 0 1
((((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) + (x div (((2 + 1) * 2) + 1))) * 2) div (2 + 1))
A029359: 1 0 0 0 1 0 0 1 2 1 0 1 2 1 1 2
((((loop(\(x,i).((x - ((x div ((2 + 2) + 1)) * 2)) * 2),x,1) div 2) + 1) div 2) + (2 + 1))
A182230: 3 4 4 5 6 7 8 9 11 13 15 18 21 25 30 36
(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1))
A307409-A147588-A070824: 0 0 0 1 0 2 0 2 1 2 0 4 0 2 2 3
(((((loop(\(x,i).(((2 + 1) * x) - 1),x,2) div 2) * 2) * ((2 + 2) + 1)) * 2) * (2 + 1))
A309315: 60 120 420 1200 3660 10920 32820 98400 295260 885720 2657220 7971600 23914860 71744520 215233620 645700800
(((if x <= 0 then 2 else (x - ((((x - 2) * x) div (x + 2)) div ((2 + 2) + 1)))) * 2) - (2 + 1))
A050828: 1 1 1 3 5 7 9 11 13 13 15 17 19 21 21 23
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((((x * 2) + 1) div (2 + 1)) * 2)) div (2 + 1)))
A314710: 1 5 9 13 18 22 27 31 35 40 45 49 53 58 62 67
loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(2 + 1))
A162349: 3 9 9 27 9 27 27 81 9 27 27 81 27 81 81 243
(((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * ((x + 2) + 2)) div (2 + 1)) + 2) div (2 + 1))
A029130: 1 1 1 1 1 1 1 1 2 2 3 4 4 4 4 4
(((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) + ((x mod 2) + 2)) div (2 + 1)) * 2) div (2 + 1))
A225399: 0 0 0 1 0 1 1 0 2 2 0 2 2 0 3 4
((loop(\(x,i).(0 - x),x,(x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1)))) + 2) div (2 + 1))
A246583: 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 ~1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 1) * 2) * (2 + 1)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242119: 2 3 5 7 11 13 17 1 5 11 13 1 5 7 11 17
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((x - ((1 - x) div (2 + 1))) * 2)) div (2 + 1)))
A313703: 1 5 10 15 19 25 29 34 39 44 49 54 59 63 69 73
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((((x mod 2) + x) div (2 + 1)) * 2)) div (2 + 1)))
A058759: 1 4 8 13
A311805: 1 4 8 13 17 21 25 29 33 38 42 47 51 55 59 63
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * 2) * (2 + 1)))
A017599: 279936 612220032 21870000000 230539333248 1338925209984 5455160701056 17565568854912 47829690000000 114868566764928 250226879128704 504189521813376 953133216331392 1708593750000000
loop(\(x,i).(((x * x) * x) * (x * x)),1,(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))))
A017477: 16807 1889568 20511149 102400000 345025251 916132832 2073071593 4182119424 7737809375 13382255776 21924480357 34359738368 51888844699 75937500000 108175616801 150536645632
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) + 1) * 2) * (2 + 1))))
A017466: 46656 24137569 481890304 3518743761 15625000000 51520374361 139314069504 326940373369 689869781056 1340095640625 2436396322816 4195872914689 6906762437184 10942526586601 16777216000000 25002110044521
(((loop(\(x,i).((((2 + 2) * 2) * (x + 1)) - x),(x div 2),(x mod 2)) + 1) * 2) * (2 + 1))
A117866: 6 12 54 96 390 684 2742 4800 19206 33612 134454 235296 941190 1647084 6588342 11529600
(((loop(\(x,i).((2 + 1) * x),(x - 1),x) * ((((2 + 2) + 1) * x) + 1)) div 2) div (2 + 1))
A084900: 0 1 11 72 378 1755 7533 30618 119556 452709 1673055 6062364 21611934 75996063 264126177 908764110
((loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * 2) + (x mod (2 + 1))),x,1) + 2) div (2 + 1))
A067428: 1 11 352 11264 360448 11534336 369098752 11811160064 377957122048 12094627905536 387028092977152 12384898975268864 396316767208603648 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 1)) mod (x + 1)),x) + 1) * 2) * (2 + 1))
A033845: 6 12 18 24 36 48 54 72 96 108 144 162 192 216 288 324
(((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * 2) * (2 + 1))
A085129: 6 12 18 24 30 36 42 48 54 60 72 84 90 96 108 120
(((loop(\(x,i).((2 div (((2 + 1) * 2) - (x div (2 + 1)))) + x),2,x) + 1) * 2) * (2 + 1))
A078596: 6 12 18 24 30 36 42 48 54 60 66 72 90 96 108 120
(((loop(\(x,i).(((x * x) div ((((2 + 2) * 2) * 2) + x)) + x),2,x) + 1) * 2) mod (2 + 1))
A190762: 2 1 0 2 1 1 2 2 1 0 2 1 1 2 1 1
((((loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x + 1),1) - 2) div (x + 1)) * 2) mod (2 + 1))
A035188: 1 1 1 1 2 1 0 1 1 2 0 1 0 0 2 1
((((0 - loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * i),x,0)) * (x - 1)) div 2) div (2 + 1))
A000313: 0 0 0 1 4 30 220 1855 17304 177996 2002440 24474285 323060540 4581585866 69487385604 1122488536715
(if (x - 1) <= 0 then x else (((((((x * x) - 1) * x) * x) * ((x * x) - 1)) div 2) div (2 + 1)))
A303212: 0 1 6 96 600 2400 7350 18816 42336 86400 163350 290400 490776 794976 1242150 1881600
((1 - (((x + 2) mod ((((x div 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) + 2)) div 2)) mod (2 + 1))
A335294: 1 1 1 0 1 1 1 1 0 0 1 1 2 1 1 0
((((x div (((loop(\(x,i).(x * 2),(x - 2),2) - 1) mod (x + 1)) + 1)) + 2) * 2) div (2 + 1))
A336158-A335283: 1 1 2 1 2 2 2 1 4 2 2 2 2 2 6 1
(loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) * (2 + 1))
A256257: 6 12 12 24 12 24 24 48 12 24 24 48 24 48 48 96
((((loop(\(x,i).(((2 + 2) + 1) * x),((2 + 2) + 1),x) mod (x + 1)) div 2) * 2) div (2 + 1))
A237130: 0 0 0 0 0 0 1 0 2 1 3 2 2 3 3 3
(((((loop(\(x,i).((0 - x) * x),(2 + 2),(2 + 1)) mod (x + 1)) div 2) + 2) * 2) mod (2 + 1))
A332602: 1 1 1 0 2 0 0 1 1 0 0 0 2 0 0 0
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod ((((2 + 2) * 2) * 2) * 2)) div (2 + 1))
A021036: 0 3 1 2 5 0 0 0 0 0 0 0 0 0 0 0
((if x <= 0 then 1 else (((((1 - x) * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 2)) div (2 + 1))
A204016: 0 1 1 1 0 1 1 2 2 1 1 2 0 2 1 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) * 2) * (2 + 1)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A229787: 2 3 5 7 11 13 17 19 23 5 7 13 17 19 23 5
(x - ((x div (0 - 2)) - ((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1))))
A284933: 1 4 7 10 12 16 19 23 25 28 31 34 36 40 42 45
(((((((((if (x - 2) <= 0 then 1 else x) + x) * (x + 2)) div 2) div 2) + x) + 2) * 2) div (2 + 1))
A222011: 1 2 4 8
A260090: 1 2 4 8 12 16 21 26 33 40 48 56 65 74 85
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - (((((x div 2) mod 2) + x) div 2) * 2)) div (2 + 1)))
A312896: 1 4 9 13 17 21 26 31 35 39 43 48 52 56 61 65
(((compr(\x.(1 - (loop(\(x,i).((x * x) * (2 + 1)),2,x) mod (x + 2))),x) + 2) * 2) * (2 + 1))
A091454: 30 42 60 66 78 84 90 102 114 120 126 132 138 150 156 168
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017418: 64 4826809 191102976 1838265625 9474296896 34296447249 98867482624 243087455521 531441000000 1061520150601 1973822685184 3462825991689 5789336458816 9294114390625 14412774445056
((((loop(\(x,i).(x - ((x * 2) div (((i * 2) * 2) + 1))),x,x) + x) + 2) * 2) + (2 + 1))
A176852: 7 11 15 17 21 23 27 29 31 35 37 41 43 45 47 49
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) + 2) * (2 + 1)))
A017239: 279936 170859375 4586471424 42618442977 230539333248 897410677851 2799360000000 7446353252589 17565568854912 37725479487783 75144747810816 140710042265625 250226879128704 425927596977747
(((x * 2) * 2) - ((((((x div 2) div (2 + 1)) mod 2) - (if x <= 0 then 1 else x)) * 2) div (2 + 1)))
A313556: 1 5 10 14 19 24 28 32 37 42 46 51 56 61 66 70
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((((x div (2 + 1)) mod 2) - x) * 2) div (2 + 1)))
A315693: 1 6 12 17 22 28 34 40 46 51 56 62 68 74 80 85
((((((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x div 2)) mod (x + 1)) div 2) + x) * 2) + (2 + 1))
A296243: 3 5 9 11 13 15 17 19 21 25 27 29 33 35 37 39
(1 - ((((x - loop(\(x,i).((x * x) * x),1,(((2 + 1) * x) + 2))) * x) div 2) * (2 + 1)))
A134163: 1 187 1531 5977 16441 36811 71947 127681 210817 329131 491371 707257 987481 1343707 1788571 2335681
((compr(\x.(loop(\(x,i).(x * x),2,(((x div 2) + 1) * (2 + 1))) mod (x + 2)),x) + 2) * (2 + 1))
A014766: 9 12 24 27 36 48 60 72 81 84 96 108 120
(1 - ((((x - 1) * x) div 2) - (loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1))))
A116699: 1 2 5 13 30 61 112 190 303 460 671 947 1300 1743 2290 2956
(if x <= 0 then 1 else (((((x + 1) mod (2 + 1)) - x) div ((2 + 2) + 1)) + ((x * 2) * (2 + 1))))
A315546: 1 6 11 17 23 29 35 41 46 52 58 63 69 75 81 87
((if x <= 0 then 1 else (((((x div (2 + 1)) mod 2) - x) * 2) div (2 + 1))) + ((x * 2) * (2 + 1)))
A301697: 1 5 10 16 22 27 32 37 42 48 54 59 64 69 74 80
((((x - ((x div (2 + 2)) mod 2)) div 2) div (0 - 2)) + (if x <= 0 then 1 else ((x * 2) * (2 + 1))))
A315543: 1 6 11 17 23 29 35 40 46 52 57 63 69 75 81 86
(if x <= 0 then 1 else (((((x + 2) + 1) * x) * 2) - ((((1 - (x * x)) * x) div 2) div (2 + 1))))
A137742: 1 8 21 40 66 100 143 196 260 336 425 528 646 780 931 1100
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) + 1) * x) + (2 + 1)))
A016891: 2187 2097152 62748517 612220032 3404825447 13492928512 42618442977 114415582592 271818611107 587068342272 1174711139837 2207984167552 3938980639167 6722988818432 11047398519097
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)))
A313538: 1 5 10 14 19 23 28 32 37 42 47 52 56 61 65 70
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1)))
A315475: 1 6 11 16 21 27 32 37 42 48 54 59 64 69 75 80
((((((loop(\(x,i).((x * 2) * 2),x,2) - 1) * (x - 1)) + 1) div (x + 1)) + x) mod (2 + 1))
A345374: 0 1 0 0 1 1 0 0 0 2 1 0 0 1 1 0
(((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + x) + (2 + 1))
A269304: 3 4 5 7 7 9 9 13 13 13 13 17 15 17 19 25
((((((((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2) + x) div (2 + 1)) * 2) + x) + (2 + 1))
A284390: 3 6 7 8 11 14 17 18 19 22 23 24 27 28 29 32
loop(\(x,i).((((x * 2) + 1) mod ((2 + 2) + 1)) + ((((2 + 2) + 1) * x) * 2)),x,(2 + 1))
A037792: 3 32 320 3201 32013 320132 3201320 32013201 320132013 3201320132 32013201320 320132013201 3201320132013 32013201320132 320132013201320 3201320132013201
compr(\x.((x div 2) mod (2 + 1)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)))
A247159: 7 12 18 24 36 42 54 60 72 90 96 114 126 132 144 162
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) + ((x + 2) * x)) + (2 + 1))
A219846: 3 7 16 33 62 108 177 276 413 597 838 1147 1536 2018 2607 3318
(((if x <= 0 then 0 else (1 - ((1 - x) div (((x div 2) div (2 + 1)) + 2)))) + 2) + (x div (2 + 1)))
A080680: 2 3 4 5 6 6 7 7 8 9 9 10 10 10 11 12
((compr(\x.((x + 1) mod ((x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) + 1)),x) * 2) + 1)
A085493: 1 3 5 7 11 15 17 19 23 27 29 31 35 39 41 47
((((x - (((if x <= 0 then 1 else x) * 2) div ((((2 - x) div (2 + 2)) - 2) - 1))) + x) * 2) - 1)
A137002: 1 5 11 15
A285597: 1 5 11 15 19 25 29 33 39 43 47 51 55 61 65 69
((compr(\x.(((x + 1) * x) mod loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),2,1)),x) * 2) + 1)
A156702: 1 127 161 287 289 415 449 575 577 703 737 863 865 991 1025 1151
((((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * (x + 1)) div ((2 + 2) + 1)) + x) * 2) + 1)
A294674: 1 3 5 7 11 13 15 17 19 23 29 31 35 37 41 43
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 2) + 1) * x) * 2) + 1))
A017287: 1 19487171 1801088541 27512614111 194754273881 897410677851 3142742836021 9095120158391 22876792454961 51676101935731 107213535210701 207616015289871 379749833583241 662062621900811 1107984764452581 1789940649848551
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((((2 + 2) + 1) * x) * 2) + 1))
A050489: 1 11 42 155 574 2142 8052 30459 115830 442442 1696396 6525246 25169452 97319900 377096040 1463921595
((((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * ((x div 2) + 1)) div (2 + 1)) + x) * 2) + 1)
A334141: 1 3 5 7 11 13 15 17 19 21 29 31 33 35 39 41
((loop(\(x,i).(x * x),1,((((((2 + 2) * 2) * 2) * (x + 1)) * (2 + 1)) + x)) * 2) - 1)
A157364: 4607 18817 42631 76049 119071 171697 233927 305761 387199 478241 578887 689137 808991 938449 1077511 1226177
(((loop(\(x,i).((((i * 2) + x) + 1) - ((x - 1) div ((2 + 2) + 1))),x,1) + x) div 2) + 1)
A083505: 1 3 6 10 14
A145913: 1 3 6 10 14 18 22 27 32 37 42 47 52 57 63 68
((((loop(\(x,i).(((((x * 2) - 1) * x) div ((x + 2) + 1)) + 1),2,x) + 1) + x) div 2) + 1)
A077114: 2 2 3 4 6 8 10 12 14 16 19 21 23 26 28 31
((x * 2) div (((((loop(\(x,i).(((x * 2) * 2) * 2),x,2) - 1) mod (x + 1)) + x) div 2) + 1))
A256757: 0 1 2 1 2 2 3 1 3 2 3 2 3 3 2 1
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017358: 117649 24137569 387420489 2565726409 10779215329 34296447249 90458382169 208422380089 433626201009 832972004929 1500730351849 2565164201769 4195872914689 6611856250609 10090298369529
(((((loop(\(x,i).(((x - 1) * x) div (2 + 2)),2,(x - 2)) + x) div (x + 1)) + x) div 2) + 1)
A143752: 1 1 2 2 3 3 4 5 6 7 8 10 11 14 17 20
(((((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) + (x mod (2 + 1))) div 2) + x) div 2) + 1)
A336095: 1 1 2 2 3 4 4 4 5 6 7 8 8 8 9 9
((((((loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1) div (x + 1)) + x) div 2) + x) div 2) + 1)
A338660: 1 2 5 13 43 167
(compr(\x.((loop(\(x,i).((x + 1) * 2),x,1) mod ((x div ((x mod 2) + 1)) + 1)) - 1),(x + 2)) + 1)
A161346: 3 4 5 6 7 9 11 13 17 19 23 29 31 37 41 43
(x div (((loop(\(x,i).(x * 2),((((x div 2) + x) div (2 + 2)) + x),2) - 1) mod (x + 2)) + 1))
A166396: 0 1 0 1 1 2 0 1 1 1 2 3 3 3 0 1
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((x + 2) + 1) * ((x + 2) + 1)))
A119575: 9 16 50 180 686 2688 10692 42900 173030 700128 2838524 11522056 46802700 190182400 772913160 3141129780
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,((2 - x) + 1)) div ((x + 2) + 1))
A120009: 1 1 1 0 ~6 ~33 ~143 ~572 ~2210 ~8398 ~31654 ~118864 ~445740 ~1671525 ~6273135 ~23571780
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (((2 + 2) * 2) div ((x + 2) + 1)))
A098392: 2 3 4 6 10 12 15 17 21 27 29 35 39 41 45 51
(((loop(\(x,i).(((i + 2) + 2) * x),x,(2 + 2)) * (x + 1)) * (x + 2)) * ((x + 2) + 1))
A200979: 24 480 7200 100800 1411200 20321280 304819200 4790016000 79035264000 1369944576000 24932991283200 475993469952000 9519869399040000 199184959733760000 4353614119895040000 4611686018427387903
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 2)) * x) div ((x + 2) + 1))
A165994: 0 1 2 4 7 9 12 14 18 23 25 30 34 36 40 45
loop(\(x,i).((x * 2) * 2),(((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)) + (x * 2)),1)
A130036: 1 16 1024 16384 4194304 67108864 4294967296 68719476736 70368744177664 1125899906842624 72057594037927936 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) * x) * (x * x)) div ((((2 + 2) * 2) * 2) * 2)),1,((x * 2) + 1))
A219088: 0 7 97 525 1845 5032 11602 23730 44370 77378 127628 201135 305175 448403 640973 894660
(loop(\(x,i).(x * x),1,(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + ((x * 2) + 1))
A231407: 1 4 6
A185868: 1 4 6 11 13 15 22 24 26 28 37 39 41 43 45 56
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),((2 + 1) * x),1) * ((x * 2) + 1))
A187365: 1 42 2145 117572 6686100 388934370 22974421470 1372238454600 82653088824684 5011211083256840 305437356823765089 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if ((x + 1) mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 1 else 2) + x) + ((x * 2) + 1))
A189630: 3 6 8 12 15 17 21 23 27 30 33 35 39 42 44 48
loop(\(x,i).((x * 2) * 2),(((((x div (2 + 2)) + (x * 2)) * (2 + 1)) div 2) + (x div 2)),1)
A220853: 1 64 16384 1048576 1073741824 68719476736 17592186044416 1125899906842624 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x div ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 1)) + (x mod 2)) + 1)
A086765-A079868: 1 2 3 2 5 2 7 2 3 3 11 2 13 4 4 2
(if x <= 0 then 1 else (((((x mod ((((x mod 2) - x) - 1) div (2 + 1))) mod 2) + 1) - (x mod 2)) + 1))
A138553: 1 1 2 1 2 2 2 1 3 1 2 2 3 1 3 1
(if x <= 0 then 0 else ((((((x - 1) * 2) mod ((x div 2) + 2)) div ((2 + 2) + 1)) - (x mod 2)) + 1))
A230106: 0 0 1 0 1 0 1 0 1 0 1 1 2 0 2 0
((x - 1) mod (((if (x div (2 + 2)) <= 0 then 1 else (((x div 2) * 2) div (2 + 1))) - (x mod 2)) + 1))
A238877: 1 0 1 0 1 0 2 0 1 0 1 1 1 0 3 2
(((x + 1) mod ((if ((((x * x) * x) div (x + 2)) mod (2 + 1)) <= 0 then 1 else 2) + (x mod 2))) + 1)
A245514: 1 1 2 2 2 1 1 3 1 1 2 1 1 3 1 1
loop(\(x,i).((x + 1) * x),((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)),1)
A139329: 1 1 1 1 2 1 1 1 6 2 2 1 2 1 1 1
((((((if (x mod 2) <= 0 then x else (0 - x)) mod (((2 + 2) + 1) * 2)) + 1) div 2) + (x mod 2)) + 1)
A175408: 1 7 2 6 3 5 4 4 5 3 1 7 2 6 3 5
((x + 2) div (((if x <= 0 then 1 else (((((x mod (2 + 1)) * 2) * 2) + 1) * 2)) + (x mod 2)) + 1))
A029304: 1 0 0 1 0 0 2 0 0 2 1 0 4 1 0 4
(((x div ((x div ((if (x mod 2) <= 0 then ((x mod (2 + 1)) div 2) else 2) + 2)) + 2)) + (x mod 2)) + 1)
A166469: 1 2 2 3 2 3 2 4 3 4 2 4 2 4 3 5
(((x div 2) + 1) div ((((if ((x div 2) mod ((2 + 1) * 2)) <= 0 then x else 2) * 2) - (x mod 2)) + 1))
A017860: 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 2
(if x <= 0 then 0 else (((x div ((x div (((2 - x) mod (2 + 2)) + 1)) + 2)) div (2 - (x mod 2))) + 1))
A194548: 0 1 1 2 1 2 1 3 2 2 1 3 2 2 1 4
(((2 + 1) * 2) - (((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 1) * ((x mod 2) + 1)))
A131369: 5 4 5 4 3 4 5 4 5 0 5 4 5 4 3 4
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),((x - 1) div 2),1) div ((x mod 2) + 1))
A028303: 1 0 1 1 2 2 5 7 14 21 42 66 132 214 429 715
((if x <= 0 then 1 else (((((x * x) * (2 + 1)) * (2 + 1)) + (x mod 2)) - 1)) div ((x mod 2) + 1))
A282284: 1 4 35 40 143 112 323 220 575 364 899 544 1295 760 1763 1012
(loop(\(x,i).((((((i div 2) * 2) + 1) * x) * (2 + 2)) div (i + 1)),x,1) div ((x mod 2) + 1))
A098664: 1 1 8 12 96 160 1280 2240 17920 32256 258048 473088 3784704 7028736 56229888 105431040
((loop(\(x,i).((((x div 2) + 1) * (2 + 1)) + 1),(x div 2),(x mod 2)) * 2) + ((x mod 2) + 1))
A098144: 1 4 9 10 21 22 39 40 63 64 99 100 153 154 237 238
(((loop(\(x,i).(x - (((((2 - (x div 2)) mod (x + 1)) div 2) div 2) - 1)),2,x) + x) * 2) - 1)
A124981: 3 7 11 15 19 21 23 27 31 33 35 39 43 47 51 55
(compr(\x.(((x + 1) mod ((x div ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) + 1)) - 1),x) + 1)
A084925-A055721-A045718: 1 2 3 4 6 8 10 12 14 16 18 20 22 24 28 30
(compr(\x.((1 - x) mod ((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * (2 + 1)) - 1)),x) + 1)
A290950: 1 2 3 4 5 6 7 8 9 13 24 35 46 57 68 79
loop(\(x,i).((1 - x) - (((x * 2) * 2) * (2 + 1))),((((2 + 2) * (2 + 1)) - 1) * x),1)
A015422: 1 ~1664148937320 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),((((x + 2) div (2 + 1)) * (((2 + 1) * 2) + 1)) + x),1)
A067494: 1 16777216 134217728 1073741824 18014398509481984 144115188075855872 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 1) * 2) + 1) * x) + 1))
A016999: 1 2097152 170859375 2494357888 17249876309 78364164096 271818611107 781250000000 1954897493193 4398046511104 9095120158391 17565568854912 32057708828125 55784660123648
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((((2 + 1) * 2) + 1) * x) + 1))
A050477: 1 8 30 110 406 1512 5676 21450 81510 311168 1192516 4585308 17681020 68346800 264769560 1027653570
(compr(\x.((x + 1) mod ((x div ((loop(\(x,i).((x + 1) * 2),x,1) mod (x + 1)) + 2)) + 1)),x) + 1)
A344296: 1 2 3 4 6 8 9 10 12 16 18 20 24 27 28 30
loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * (((i + 1) * 2) + 1)),x,1)
A157713: 1 10 280 12600 776160 60540480 5708102400 630745315200 79894406592000 11408921261337600 1812981305892556800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - (((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) div 2)) + 1),x,1)
A147596: 1 3 7 15 31 63 119 231 455 903 1799 3591 7175 14343 28679 57351
(((((if (x mod (((2 + 2) * 2) + 1)) <= 0 then x else 0) + 1) * (((2 + 2) * 2) + 1)) + x) + 1)
A228915: 10 11 12 13 14 15 16 17 18 100 20 21 22 23 24 25
loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) div ((i + 2) + 1)) * ((2 + 2) + 1)),x,1)
A156125: 1 5 60 1000 20000 450000 11000000 286000000 7800000000 221000000000 6460000000000 193800000000000 5943200000000000 185725000000000000 4611686018427387903 4611686018427387903
loop(\(x,i).(((1 - (x - (((x * 2) * 2) * ((2 + 2) + 1)))) div ((x + 2) + 2)) + 1),x,1)
A137002: 1 5 11 15
A171418: 1 5 11 15 16 16 16 16 16 16 16 16 16 16 16 16
(compr(\x.(2 - ((x + 1) mod ((if ((x - 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) + (2 + 1)))),x) - 1)
A230239: 0 1 4 5 9 12 13 16 17 20 21 25 28 29 32 33
loop(\(x,i).(((((x + 1) div (1 - ((2 + 2) * 2))) mod 2) + x) + ((x * 2) * (2 + 1))),x,1)
A033134: 1 8 56 393 2752 19264 134849 943944 6607608 46253257 323772800 2266409600 15864867201 111054070408 777378492856 5441649449993
(loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),(x * 2),1) * (((2 + 1) * x) + 1))
A228329: 1 8 98 1320 18590 268736 3952228 58837680 883941750 13373883600 203487733020 3110407163760 47726453450988 734694122886080 11341161925265480 175489379096245984
(loop(\(x,i).((x + 2) - (((1 - x) * 2) div ((2 + 2) + 1))),x,1) div (((2 + 1) * x) + 1))
A017818: 1 0 0 1 1 1 1 2 3 3 4 6 8 10 13 18
(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * loop(\(x,i).((2 + 1) * x),((2 + 1) * x),1))
A306472: 37 999 26973 728271 19663317 530909559 14334558093 387033068511 10449892849797 282147106944519 7617971887502013 205685240962554351 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x div ((((x div 2) div (2 + 1)) + 2) + 1)) mod 2) + x) + 1),x,1) - x) - 1)
A080585: 0 0 0 1 2 3 3 3 3 3 3 3 4 5 6 7
((x * 2) mod loop(\(x,i).(((((1 - (((x mod 2) - (x div 2)) div 2)) div 2) mod 2) + x) + 1),x,1))
A034151: 0 0 0 0 0 0 1 1 2 3 4 5 6 6 6 6
(compr(\x.(loop(\(x,i).(0 - (((((2 + 2) * 2) * 2) + x) * 2)),(x + 1),0) mod (x + 1)),x) + 1)
A279542-A067947: 1 2 3 4 6 8 9 12 16 18 20 24 27 32 36 40
(compr(\x.(loop(\(x,i).((((x + 2) * (x + 2)) + 2) * ((2 + 2) + 1)),2,0) mod (x + 1)),x) + 1)
A133030: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57
(compr(\x.((((((2 + 1) * 2) + 1) * 2) - loop(\(x,i).((x + 1) * 2),x,0)) mod (x + 1)),x) + 1)
A015924: 1 2 4 6 7 8 12 16 20 24 28 40 44 48 52 60
((((x + 1) * 2) * (2 + 1)) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))
A158635: 5 10 15 19 23 25 29 31 35 37 37 41 41 43 47 49
(compr(\x.(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((2 + 2) + 1),1) mod (x + 1)),x) + 1)
A109492: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273
(((loop(\(x,i).(x * 2),(((2 + 1) * x) div ((x mod (2 + 2)) + 1)),1) mod (x + 1)) + x) + 1)
A239826: 1 2 4 4 6 8 8 8 10 12 12 16 14 16 19 16
(compr(\x.(x - (loop(\(x,i).(((x * x) * (2 + 1)) - 1),2,((2 + 2) + 1)) mod (x + 1))),x) + 1)
A185092: 1 2 3 4 6 12
A018460: 1 2 3 4 6 12 37 74 111 148 222 444
(compr(\x.(loop(\(x,i).(((x * x) * (x + 2)) * (2 + 1)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A342572: 1 3 5 7 9 15 17 21 25 27 31 35 45 49 51 63
(compr(\x.(loop(\(x,i).(x * x),2,((x div ((x mod (0 - 2)) - 2)) * (2 + 1))) mod (x + 1)),x) + 1)
A231960: 1 3 6 9 12 18 24 27 30 36 42 48 54 60 66 72
(compr(\x.(loop(\(x,i).((((((x * x) + 2) * 2) * 2) + 1) * 2),2,(2 + 1)) mod (x + 1)),x) + 1)
A018347: 1 2 3 6 9 13 18 26 39 78 117 234
(compr(\x.(loop(\(x,i).((((x + 2) * 2) + 1) * x),2,((2 + 2) * (2 + 1))) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018405: 1 2 3 4 6 12 29 58 87 116 174 348
(compr(\x.((loop(\(x,i).(((((x + 2) * x) - 1) * 2) * (2 + 1)),2,x) + 1) mod (x + 1)),x) + 1)
A018607: 1 5 11 13 55 65 143 715
(compr(\x.((loop(\(x,i).((((2 + 2) + 1) * x) * 2),((2 + 1) * 2),x) + 1) mod (x + 1)),x) + 1)
A027892: 1 3 7 9 11 13 21 27 33 37 39 63 77 91 99 111
(compr(\x.((loop(\(x,i).((((((x + 2) * 2) * 2) + 1) * x) * 2),2,x) + 1) mod (x + 1)),x) + 1)
A018555: 1 3 9 23 27 69 207 621
(compr(\x.((loop(\(x,i).(((((x * 2) * 2) * (i + 1)) + 1) * x),2,x) + 1) mod (x + 1)),x) + 1)
A018539: 1 2 4 149 298 596
(compr(\x.(((loop(\(x,i).((((x * 2) - 1) * x) + 1),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018345: 1 3 7 11 21 33 77 231
(compr(\x.(((loop(\(x,i).(((x * 2) - 1) * (x - 1)),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018436: 1 3 5 9 15 27 45 81 135 405
(compr(\x.(((loop(\(x,i).((((2 + 1) * x) - 2) * x),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018617: 1 3 5 7 15 21 35 49 105 147 245 735
(compr(\x.(loop(\(x,i).((((x * x) + 1) * 2) * ((2 + 2) + 1)),2,(x + 1)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018773: 1 2 5 10 101 202 505 1010
(compr(\x.(((loop(\(x,i).(((x * x) + 1) * 2),2,((2 + 1) * x)) * x) + 1) mod (x + 1)),x) + 1)
A018654: 1 3 9 89 267 801
(compr(\x.(((loop(\(x,i).(((x * 2) + 1) * x),2,((2 + 1) * x)) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018469: 1 2 4 8 16 29 58 116 232 464
(compr(\x.(((loop(\(x,i).(((x * 2) - 1) * x),2,((2 + 1) * x)) * x) + 1) mod (x + 1)),x) + 1)
A005018: 1 2 4 5 10 20
A018688: 1 2 4 5 10 20 43 86 172 215 430 860
(compr(\x.(((loop(\(x,i).(((i * x) - 1) * x),2,((2 + 1) * x)) * x) + 1) mod (x + 1)),x) + 1)
A018368: 1 5 11 25 55 275
(compr(\x.(((loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018766: 1 3 9 27 37 111 333 999
(compr(\x.(((loop(\(x,i).((((x * x) * 2) + 1) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018482: 1 2 4 8 61 122 244 488
(compr(\x.(((loop(\(x,i).((((x * x) * (2 + 1)) + 1) * 2),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018426: 1 5 7 11 35 55 77 385
(compr(\x.(((loop(\(x,i).((((x * x) * (2 + 2)) - 1) * 2),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018374: 1 3 5 15 19 57 95 285
(compr(\x.(((loop(\(x,i).(((((x - 1) * x) + 1) * 2) * 2),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018504: 1 3 9 59 177 531
(compr(\x.(((loop(\(x,i).((((x * x) * 2) + 1) * (i + 2)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018572: 1 3 7 21 31 93 217 651
(compr(\x.(((loop(\(x,i).(((((x - 2) * 2) * 2) - 1) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018518: 1 2 3 6 9 18 31 62 93 186 279 558
(compr(\x.(((loop(\(x,i).(((((x * 2) * 2) * 2) - 1) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018563: 1 2 11 22 29 58 319 638
(compr(\x.(((loop(\(x,i).(((x - (2 + 2)) * (2 + 1)) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018485: 1 2 13 19 26 38 247 494
(compr(\x.(((loop(\(x,i).((x - (((x * 2) * 2) * 2)) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018403: 1 2 4 8 43 86 172 344
(compr(\x.(((loop(\(x,i).((x - ((1 - x) * (2 + 2))) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018416: 1 2 4 8 16 23 46 92 184 368
(compr(\x.(((loop(\(x,i).((x - ((2 - x) * (2 + 2))) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A005018: 1 2 4 5 10 20
A018620: 1 2 4 5 10 20 37 74 148 185 370 740
((loop(\(x,i).(x * x),1,((((((2 + 2) * 2) * (2 + 1)) - 1) * 2) * (x + 1))) + x) + 1)
A031770: 2117 8466 19047 33860 52905 76182 103691 135432 171405 211610 256047 304716 357617 414750 476115 541712
(compr(\x.(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * (x + 1)),(2 + 1),2) mod (x + 1)),x) + 1)
A018404: 1 3 5 15 23 69 115 345
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) + 1) * x) + 1),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018369: 1 2 3 4 6 12 23 46 69 92 138 276
(compr(\x.(loop(\(x,i).((((x * x) * (2 + 2)) - 1) * x),2,((2 + 1) * 2)) mod (x + 1)),x) + 1)
A087007: 1 2 3 5 6 7 10 11 13 14 15 17 21 22 26 30
(compr(\x.((loop(\(x,i).((((x * x) + 2) * 2) * (2 + 1)),2,(x + 1)) - 2) mod (x + 1)),x) + 1)
A018696: 1 2 19 23 38 46 437 874
(compr(\x.(x - (loop(\(x,i).(((x * x) * x) * (x * x)),2,((0 - 2) - 2)) mod (x + 1))),x) + 1)
A003554: 1 3 11 31 33 93 251 341 601 753 1023 1801 1803 2761 4051 5403
(compr(\x.(loop(\(x,i).(((x * x) + 1) * x),2,((((2 + 2) + 1) * 2) * 2)) mod (x + 1)),x) + 1)
A018401: 1 2 4 5 10 17 20 34 68 85 170 340
(compr(\x.(loop(\(x,i).(((((x div 2) + x) + 2) * (x + 1)) * (2 + 1)),2,2) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018441: 1 2 3 6 9 18 23 46 69 138 207 414
(compr(\x.(loop(\(x,i).((((((x * 2) + 1) * x) * 2) + 1) * (x + 1)),2,2) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018671: 1 2 4 8 13 16 26 32 52 64 104 208 416 832
(compr(\x.(loop(\(x,i).(((x + 2) * x) + 1),2,((((x * 2) * 2) * 2) * 2)) mod (x + 1)),x) + 1)
A018463: 1 2 4 113 226 452
(compr(\x.(loop(\(x,i).((((x * x) * 2) * ((2 + 2) + 1)) + x),2,(2 + 2)) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018484: 1 2 3 4 6 12 41 82 123 164 246 492
(compr(\x.(((loop(\(x,i).(((x * x) + 1) * (2 + 1)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018263: 1 2 4 13 26 52
A018587: 1 2 4 13 26 52 169 338 676
(compr(\x.(((loop(\(x,i).(((x * x) - 1) * (2 + 1)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018349: 1 2 7 14 17 34 119 238
(compr(\x.(x - (((loop(\(x,i).((x * x) * (2 + 1)),2,(x * 2)) * x) + 2) mod (x + 1))),x) + 1)
A018450: 1 3 11 13 33 39 143 429
(compr(\x.(((loop(\(x,i).(((x * 2) * 2) * (x + 1)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018375: 1 2 11 13 22 26 143 286
(compr(\x.(((loop(\(x,i).(((x * 2) - 1) * (x - 1)),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018435: 1 2 4 101 202 404
(compr(\x.(((loop(\(x,i).(((x * x) + (2 + 2)) * 2),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018497: 1 2 7 14 37 74 259 518
(compr(\x.(((loop(\(x,i).((((x * 2) + 1) * x) * 2),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018540: 1 2 13 23 26 46 299 598
(compr(\x.(((loop(\(x,i).((((x * 2) * 2) + 1) * x),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018651: 1 2 4 199 398 796
(compr(\x.(((loop(\(x,i).(((x * x) * (2 + 1)) + x),2,(x * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018385: 1 2 4 7 11 14 22 28 44 77 154 308
(compr(\x.(loop(\(x,i).(((((x + 1) * x) * (2 + 1)) - 1) * 2),2,(x * 2)) mod (x + 1)),x) + 1)
A018577: 1 2 7 14 47 94 329 658
(compr(\x.(((loop(\(x,i).((x + 1) * x),2,(((2 + 2) + 1) * x)) * x) + 2) mod (x + 1)),x) + 1)
A018443: 1 2 11 19 22 38 209 418
(compr(\x.(((loop(\(x,i).((0 - x) * (x * 2)),2,((2 + 1) * x)) * x) + 2) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018571: 1 2 5 10 13 25 26 50 65 130 325 650
(compr(\x.(((loop(\(x,i).((((x * x) + 1) * 2) * (2 + 1)),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018254: 1 2 4 7 14 28
A018692: 1 2 4 7 14 28 31 62 124 217 434 868
(compr(\x.(((loop(\(x,i).((x - ((x * x) * (2 + 2))) * 2),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018665: 1 2 3 6 137 274 411 822
(compr(\x.(((loop(\(x,i).((((x * x) * (2 + 1)) - x) * 2),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018415: 1 2 3 6 61 122 183 366
(compr(\x.(((loop(\(x,i).(((((x * 2) * 2) * 2) - 1) * x),2,x) * x) + 2) mod (x + 1)),x) + 1)
A225227: 1 7 13
A018562: 1 7 13 49 91 637
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),x) * (((x + 1) * x) + 1))
A119577: 0 3 42 390 2940 19530 119196 684684 3758040 19909890 102539580 516023508 2547314952 12371513700 59252218200 280374917400
(compr(\x.(loop(\(x,i).(((x - 2) * x) * (x * x)),1,(((2 + 2) + 1) * x)) mod (x + 1)),x) + 1)
A018697: 1 5 7 25 35 125 175 875
(compr(\x.(loop(\(x,i).(((((x - 1) mod (2 + 1)) + 2) * x) * 2),(2 + 1),x) mod (x + 1)),x) + 1)
A323383: 1 2 3 4 6 8 12
A018328: 1 2 3 4 6 8 12 16 24 32 48 64 96 192
(compr(\x.(loop(\(x,i).((((x * x) * (x * x)) + 1) * x),1,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018354: 1 2 3 6 41 82 123 246
(compr(\x.(loop(\(x,i).((((x div 2) + x) * (2 + 2)) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A029461: 1 2 3 4 5 6 8 9 10 12 15 16 20 24 25 30
(compr(\x.(loop(\(x,i).(((((x + 2) * x) * (2 + 2)) + 1) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018630: 1 3 11 23 33 69 253 759
(compr(\x.(x - (loop(\(x,i).((((x + 2) * x) * (2 + 1)) * (2 + 1)),2,x) mod (x + 1))),x) + 1)
A222011: 1 2 4 8
A018523: 1 2 4 8 71 142 284 568
(compr(\x.(loop(\(x,i).((((2 + 2) * (x - 1)) * (x - 1)) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018521: 1 2 3 4 6 12 47 94 141 188 282 564
(compr(\x.(loop(\(x,i).(((((x * x) * (2 + 1)) - 2) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018561: 1 2 3 4 6 12 53 106 159 212 318 636
(compr(\x.(loop(\(x,i).((((x div (2 + 2)) + x) * (2 + 2)) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A101170: 1 2 3 4 5 6 7 8 9 10 12 15 18 20 24 25
(compr(\x.(loop(\(x,i).(((((x * 2) * 2) * 2) + 1) * ((x * 2) + 1)),2,x) mod (x + 1)),x) + 1)
A018685: 1 3 5 9 15 19 45 57 95 171 285 855
(compr(\x.(x - (loop(\(x,i).((((2 + 1) * x) - 1) * ((x * 2) - 1)),2,x) mod (x + 1))),x) + 1)
A018657: 1 2 13 26 31 62 403 806
(compr(\x.(x - (loop(\(x,i).((((x - 1) * x) * ((2 + 2) + 1)) + 2),2,x) mod (x + 1))),x) + 1)
A318165: 1 3 13
A018579: 1 3 13 17 39 51 221 663
(compr(\x.(loop(\(x,i).(0 - ((2 - (x - ((x * x) * (2 + 1)))) * 2)),2,x) mod (x + 1)),x) + 1)
A018706: 1 2 4 223 446 892
(compr(\x.(loop(\(x,i).(((((i + 2) + 2) * x) * ((x * 2) + 1)) + 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018560: 1 2 4 8 79 158 316 632
(compr(\x.(loop(\(x,i).((((((x * x) - 2) * (2 + 1)) + 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018625: 1 2 4 11 17 22 34 44 68 187 374 748
(compr(\x.(loop(\(x,i).((((((x + 2) * x) * (i + 2)) + 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018637: 1 2 4 193 386 772
(compr(\x.(loop(\(x,i).((((((x + 1) * x) * (2 + 1)) - 2) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018580: 1 2 4 8 83 166 332 664
(compr(\x.(loop(\(x,i).((((((i + x) * (x + 2)) + 1) * 2) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018658: 1 2 4 8 101 202 404 808
(compr(\x.(x - (loop(\(x,i).((((((x * x) * 2) - 1) * 2) * 2) * 2),2,x) mod (x + 1))),x) + 1)
A018778: 1 3 9 113 339 1017
(compr(\x.(loop(\(x,i).(((x - (((x + 2) * (x + 2)) * 2)) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018681: 1 2 4 8 16 53 106 212 424 848
(compr(\x.(loop(\(x,i).(((((((x + 2) + 2) + 1) * x) - 2) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A133036: 1 2 4 8 227 454 908 1816
(compr(\x.(loop(\(x,i).((((((x + 2) * 2) * 2) + x) * (x + 2)) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018547: 1 2 4 8 16 19 32 38 76 152 304 608
(compr(\x.(loop(\(x,i).((((((x * 2) + 1) * (2 + 1)) + x) * x) * 2),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018735: 1 2 4 8 16 59 118 236 472 944
(compr(\x.(loop(\(x,i).((((x * x) * (x * x)) + 2) * (x * x)),1,(2 - x)) mod (x + 1)),x) + 1)
A018624: 1 3 9 83 249 747
(compr(\x.(x - (loop(\(x,i).(((((i + 2) * x) * (2 + 1)) + 1) * x),2,x) mod (x + 1))),x) + 1)
A018641: 1 3 7 21 37 111 259 777
(compr(\x.(x - (loop(\(x,i).((((x * x) + 2) * ((2 + 2) + 1)) + x),2,x) mod (x + 1))),x) + 1)
A018771: 1 3 5 15 67 201 335 1005
(compr(\x.(loop(\(x,i).((2 - (x - (((x * 2) * 2) * (2 + 1)))) * x),2,x) mod (x + 1)),x) + 1)
A018716: 1 3 9 101 303 909
(compr(\x.(loop(\(x,i).(((x - (((x * 2) * 2) * (2 + 1))) - 2) * x),2,x) mod (x + 1)),x) + 1)
A018695: 1 3 9 97 291 873
(compr(\x.(loop(\(x,i).(((((((2 + 2) + 1) * i) + 2) * x) - 2) * x),2,x) mod (x + 1)),x) + 1)
A018251: 1 2 3 6 9 18
A018741: 1 2 3 6 9 18 53 106 159 318 477 954
(compr(\x.(x - (loop(\(x,i).(((((i + 2) * (2 + 1)) - 1) * x) * x),2,x) mod (x + 1))),x) + 1)
A018601: 1 3 5 15 47 141 235 705
loop(\(x,i).(((((((i * 2) + 1) * x) * 2) div (i + 2)) * ((i * 2) - 1)) * (i + 1)),x,1)
A274056: 1 4 90 5040 529200 89812800 22475653200 7791559776000 3576325937184000 2100278686746240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * 2) + 1) * 2) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))),2,x) + 1)
A188089: 11 26 41 52 67 82 97 108 123 138 153 164 179 194 205 220
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2)),x,1)
A070426: 1 7 5 35 25 43 37 39 9 19 1 7 5 35 25 43
(((((x - ((x div 2) - ((if ((x div 2) - 2) <= 0 then 1 else 2) * (2 + 1)))) div 2) * 2) + x) - 1)
A288737: 1 4 5 6 7 10 13 16 17 18 19 22 23 24 25 28
((((loop(\(x,i).(x * x),1,(x - ((1 - ((2 + 2) * 2)) * (2 + 1)))) div 2) div 2) - x) - 1)
A159027: 109 119 129 140 151 163 175 188 201 215 229 244 259 275 291 308
((((((loop(\(x,i).((x + 1) * 2),x,0) + ((x * x) div (x + 2))) + 1) div 2) * 2) - x) + 1)
A289098-A286825: 1 2 7 14 29 62 125 254 509 1022 2045 4094 8189 16382 32765 65534
loop(\(x,i).((x - (((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2) * 2)) * 2),x,1)
A222011: 1 2 4 8
A273109: 1 2 4 8 12 16 32 64 128 256 512 1024 2048 4096 8192 16384
(compr(\x.((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) mod ((2 + 2) * 2)),x) + 1)
A210494: 1 3 5 7 11 13 17 19 23 29 31 35 37 41 43 47
loop(\(x,i).(((((((((2 + 1) * 2) + 1) * x) * 2) div (i + 1)) + (x * 2)) * 2) * 2),x,1)
A053111: 1 36 960 21120 405504 7028736 112459776 1686896640 23991418880 326283296768 4271344975872 54103703027712 665891729571840 7990700754862080 93757555523715072 1078211888522723328
(((x div ((2 + 2) * (2 + 1))) + 2) mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1))
A097106: 0 0 0 0 0 2 0 0 0 2 0 2 0 3 3 0
loop(\(x,i).(x * 2),(((((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2) * 2) + x),1)
A130034: 1 8 256 2048 262144 2097152 67108864 536870912 274877906944 2199023255552 70368744177664 562949953421312 72057594037927936 576460752303423488 4611686018427387903 4611686018427387903
((((loop(\(x,i).(x * x),1,(((((2 + 2) * 2) + 1) * (2 + 1)) + x)) div 2) div 2) - x) - 1)
A159263: 181 194 207 221 235 250 265 281 297 314 331 349 367 386 405 425
loop(\(x,i).(((((x * 2) * (2 + 1)) - ((i mod (2 + 1)) mod 2)) + 1) + ((x * 2) * 2)),x,1)
A033128: 1 10 101 1011 10110 101101 1011011 10110110 101101101 1011011011 10110110110 101101101101 1011011011011 10110110110110 101101101101101 1011011011011011
(((loop(\(x,i).(x - ((((1 - (x * 2)) * 2) div ((x + 2) + 1)) - 1)),2,x) div 2) + x) + 1)
A186155: 2 5 7 9 10 12 14 15 17 19 20 22 24 25 27 28
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) - 1) mod (((x + 2) * x) + 1))
A056615: 0 2 0 2 0 29 0 34 9 77 0 61 0 51 134 34
(loop(\(x,i).((((((2 + 2) * 2) + x) * 2) * ((2 + 2) + 1)) + 1),(x + 1),0) * (x + 1))
A328683: 81 1782 26973 359964 4499955 53999946 629999937 7199999928 80999999919 899999999910 9899999999901 107999999999892 1169999999999883 12599999999999874 134999999999999865 1439999999999999856
((((x + 2) mod ((if ((x mod (((2 + 1) * 2) + 1)) - 1) <= 0 then 2 else 1) + 1)) - 1) * (x + 1))
A344369: 1 ~2 ~3 0 ~5 0 ~7 ~8 0 0 ~11 0 ~13 0 0 16
((loop(\(x,i).((2 + 1) * x),((((2 + 1) * x) div ((x + 2) + 2)) + 1),1) + 1) * (x + 1))
A020331: 4 8 30 40 50 60 70 80 252 280 308 336 364 392 420 448
(((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1) * (x + 1))
A053143: 1 4 9 4 25 36 49 16 9 100 121 36 169 196 225 16
(((x mod ((((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 1 else 2) + 2) * 2) + 1)) + 1) mod (x + 1))
A037902-A037894-A037840: 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 2
(((((if ((((x - 2) * 2) mod (x + 2)) - 2) <= 0 then x else 0) + 1) mod (2 + 1)) - 1) + (x + 1))
A333324: 1 3 2 4 5 6 7 9 8 10 11 12 13 14 15 16
(((((x mod ((if (x mod ((2 + 2) + 1)) <= 0 then 1 else 2) + 2)) + 1) mod (2 + 1)) + 1) mod (x + 1))
A055091: 0 1 1 2 2 1 1 2 2 3 3 2 2 3 1 2
(loop(\(x,i).(((x * 2) - ((x div 2) mod (2 + 1))) * ((2 + 2) + 1)),(x + 1),1) * (x + 1))
A113119: 10 180 2700 36000 450000 5400000 63000000 720000000 8100000000 90000000000 990000000000 10800000000000 117000000000000 1260000000000000 13500000000000000 144000000000000000
((((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 1) mod (x + 1)) + 1) * (x + 1))
A238642: 1 2 6 4 10 6 14 24 18 10 22 12 26 42 30 16
(loop(\(x,i).((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) + 1),(x - 1),1) div (x + 1))
A017835: 1 0 0 0 1 1 1 1 2 3 4 5 7 10 13 18
(((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * (x + 1))
A131959: 1 2 3 8
A342768: 1 2 3 8 5 12 7 32 27 20 11 48 13 28 45 128
(loop(\(x,i).(((((x * x) * 2) - 1) * x) * (x + 1)),1,(((x + 1) * 2) + 1)) * (x + 1))
A253680: 204 2940 16296 57960 159060 368004 754320 1412496 2465820 4070220 6418104 9742200 14319396 20474580 28584480 39081504
(((((loop(\(x,i).(0 - ((((i * 2) + 1) * x) * 2)),x,1) + 1) div 2) * 2) + 1) div (x + 1))
A292221: 3 ~3 20 ~210 3024 ~55440 1235520 ~32432400 980179200 ~33522128640 1279935820800 ~53970627110400 2490952020480000 ~124903451312640000 4611686018427387903 4611686018427387903
((((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) * 2) * (2 + 1)) mod (x + 1))
A340317: 0 0 0 2 0 0 0 2 3 0 0 6 0 0 0 14
(((((loop(\(x,i).((i * x) + 1),x,1) * (((x + 1) * x) + 1)) + x) div 2) + 1) * (x + 1))
A281912: 1 8 57 424 3425 30336 294553 3123632 36003969 448816600 6022033721 86587079448 1328753602657 21683227579664 375013198304025 6853321766162656
((loop(\(x,i).((((x - (((x div 2) + x) div (2 + 2))) div 2) + x) + 2),x,2) - 1) div (x + 1))
A091493: 1 2 2 3 3 4 5 6 7 9 11 14 17 21 26 32
((if (2 - x) <= 0 then ((((x mod ((x div (2 + 2)) + 1)) div 2) + 1) + (x mod 2)) else 1) * (x + 1))
A131959: 1 2 3 8
A060872: 1 2 3 8 5 12 7 16 18 20 11 36 13 28 30 48
(loop(\(x,i).(((((i * x) * (2 + 2)) div (i + 1)) + x) * ((2 + 2) + 1)),x,1) * (x + 1))
A049394: 1 30 825 22000 577500 15015000 387887500 9974250000 255590156250 6531748437500 166559585156250 4239698531250000 107759004335937500 2735420879296875000 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((((i * 2) + 1) * x) * 2) div (i + 2)) - (x mod 2)) + 1),x,1) div (x + 1))
A135445: 1 1 2 4 10
A245898: 1 1 2 4 10 26 74 217
(loop(\(x,i).((((((x * x) * x) div (x - ((2 - x) div 2))) mod 2) + x) + 1),x,1) - (x + 1))
A202276: 0 1 1 1 2 2 2 2 3 4 5 5 5 5 5 6
((((loop(\(x,i).(((i + x) * x) + 2),2,((2 + 1) * 2)) * (x + 1)) - x) + 1) * (x + 1))
A031723: 2027 8104 18231 32408 50635 72912 99239 129616 164043 202520 245047 291624 342251 396928 455655 518432
((((loop(\(x,i).(((x + 2) * (x + 2)) + 1),2,(2 + 2)) * (x + 1)) - x) + 1) * (x + 1))
A031717: 1523 6088 13695 24344 38035 54768 74543 97360 123219 152120 184063 219048 257075 298144 342255 389408
(loop(\(x,i).((((x * 2) * 2) * 2) div ((2 + 2) + 1)),2,((2 + 2) * (x + 1))) - (x + 1))
A189381: 8 17 27 36 46 54 63 73 82 92 101 109 119 128 138 147
loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * ((2 + 2) + 1)),(x - 1),(x + 1))
A099046: 1 2 30 500 8750 157500 2887500 53625000 1005468750 18992187500 360851562500 6888984375000 132038867187500 2539208984375000 48970458984375000 946762207031250000
((x - (((x - 1) div ((x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 2)) + 1)) mod 2)) + (x + 1))
A227130: 0 3 5 7 8 10 13 14 16 19 20 22 25 26 28 30
((((loop(\(x,i).(((x * 2) * 2) * (x + 1)),2,(2 + 1)) + 1) * (x + 1)) + 2) * (x + 1))
A031775: 9411 37640 84687 150552 235235 338736 461055 602192 762147 940920 1138511 1354920 1590147 1844192 2117055 2408736
(((loop(\(x,i).(((((x + 2) * 2) * 2) * (x + 1)) + 1),2,1) * (x + 1)) + 2) * (x + 1))
A031731: 2811 11240 25287 44952 70235 101136 137655 179792 227547 280920 339911 404520 474747 550592 632055 719136
(((loop(\(x,i).(((x + 2) * x) + 1),2,(((2 + 1) * 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031743: 4227 16904 38031 67608 105635 152112 207039 270416 342243 422520 511247 608424 714051 828128 950655 1081632
(((loop(\(x,i).((x + 2) * (x + 2)),2,(((2 + 1) * 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031761: 6891 27560 62007 110232 172235 248016 337575 440912 558027 688920 833591 992040 1164267 1350272 1550055 1763616
(((loop(\(x,i).((((x * 2) + 1) * x) * ((x * 2) + 1)),2,1) * (x + 1)) + 2) * (x + 1))
A031735: 3251 13000 29247 51992 81235 116976 159215 207952 263187 324920 393151 467880 549107 636832 731055 831776
((((loop(\(x,i).(((i + x) * x) + 2),2,((2 + 2) * 2)) - 1) * (x + 1)) + 2) * (x + 1))
A031753: 5627 22504 50631 90008 140635 202512 275639 360016 455643 562520 680647 810024 950651 1102528 1265655 1440032
((((loop(\(x,i).((((x * x) * (2 + 1)) + x) * 2),2,2) + 1) * (x + 1)) + 2) * (x + 1))
A031747: 4763 19048 42855 76184 119035 171408 233303 304720 385659 476120 576103 685608 804635 933184 1071255 1218848
(((loop(\(x,i).(x * x),1,(((((2 + 2) * 2) * 2) + x) + (2 + 1))) div 2) div 2) - (x + 1))
A159026: 89 98 107 117 127 138 149 161 173 186 199 213 227 242 257 273
(((loop(\(x,i).(x * x),1,(((((2 + 2) * 2) * (2 + 1)) + x) + 1)) div 2) div 2) - (x + 1))
A159258: 155 167 179 192 205 219 233 248 263 279 295 312 329 347 365 384
((((((if (x - 1) <= 0 then 1 else (((2 + 2) * 2) * 2)) * (2 + 1)) + 2) + 2) * 2) * (x + 1))
A019552: 14 28 312 416 520 624 728 832 936 1040 1144 1248 1352 1456 1560 1664
(((if x <= 0 then 0 else (2 - (((x mod 2) - (((x - 1) * x) div (2 + 2))) div 2))) div 2) * (x + 1))
A276560: 0 2 3 4 10 12 21 24 36 50 66 84 117 140 180 224
(((if (x - 2) <= 0 then x else ((((x - 1) * x) div (2 + 2)) + ((x * 2) * 2))) + 2) div (x + 1))
A210691: 2 1 1 3 4 4 4 5 5 5 5 6 6 6 6 7
((((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + x) div 2) + ((2 + 2) * (x + 1)))
A190054: 4 8 13 18 22 27 32 36 41 46 50 55 60 64 69 73
((((x * x) div ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)) + ((x * 2) * 2)) + (x + 1))
A315768: 1 6 12 18 24 30 35 40 46 52 58 64 70 76 82 88
((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) div (2 + 1)) - ((x + 2) * (x + 1)))
A227259: 3 9 23 50 96 168 274 423 625 891 1233 1664 2198 2850 3636 4573
((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) * 2)) div (2 + 1)) - ((x + 2) * (x + 1)))
A024386: 3 29 114 310 685 1323 2324 3804 5895 8745 12518 17394 23569 31255 40680 52088
loop(\(x,i).(((((x * 2) * (2 + 1)) div (i + 1)) + x) * (((2 + 1) * 2) + 1)),x,(x + 1))
A050989: 1 56 1764 41160 792330 13311144 201885684 2826399576 37096494435 461645264080 5493578642552 62926446269232 697434779483988 7510836086750640 78863778910881720 809668130151718992
loop(\(x,i).((((((x * 2) * 2) * 2) div (i + 1)) + x) * (((2 + 2) * 2) + 1)),x,(x + 1))
A197194: 1 90 4455 160380 4691115 118216098 2659862205 54717165360 1046465787510 18836384175180 322102169395578 5270762771927640 83014513657860330 1264374900327411180 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((i * 2) - 1) * x) * 2) div (i + 1)) + x) * ((2 + 2) + 1)),x,(x + 1))
A049382: 1 20 450 10500 249375 5985000 144637500 3512625000 85620234375 2092939062500 51277007031250 1258617445312500 30941012197265625 761624915625000000 4611686018427387903 4611686018427387903
(((if x <= 0 then 1 else (x - (2 - ((((x - 1) * x) div 2) + (x mod (2 + 1)))))) + x) * (x + 1))
A128828: 1 2 15 28 65 120
(loop(\(x,i).(x - (((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)) - 1)),2,x) - (x + 1))
A199474: 1 2 3 2 4 3 5 4 3 6 5 4 7 6 5 4
(2 - (x - (loop(\(x,i).(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))),2,x) * (x + 1))))
A157443: 86 411 978 1787 2838 4131 5666 7443 9462 11723 14226 16971 19958 23187 26658 30371
(((if x <= 0 then 1 else ((((((x * x) div (2 + 1)) + x) div 2) + (x * 2)) * 2)) + x) div (x + 1))
A091988: 1 2 4 5 5 6 6 7 7 8 8 8 9 9 9 10
loop(\(x,i).(((((x * 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) div (i + 1)) - x),x,(x + 1))
A017768: 1 52 1326 22100 270725 2598960 20358520 133784560 752538150 3679075400 15820024220 60403728840 206379406870 635013559600 1768966344600 4481381406320
loop(\(x,i).((((((x * 2) * 2) * 2) * (((2 + 2) * 2) + 1)) div (i + 1)) + x),x,(x + 1))
A017737: 1 74 2775 70300 1353275 21111090 277962685 3176716400 32164253550 293052087900 2432332329570 18574174153080 131567066917650 870366750378300 5408707663065150 31731084956648880
loop(\(x,i).((((((x * 2) * 2) * 2) * (((2 + 2) * 2) + 1)) div (i + 1)) - x),x,(x + 1))
A017786: 1 70 2415 54740 916895 12103014 131115985 1198774720 9440350920 65033528560 396704524216 2163842859360 10638894058520 47465835030320 193253756909160 721480692460864
loop(\(x,i).((((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1)) div (i + 1)) + x),x,(x + 1))
A017725: 1 62 1953 41664 677040 8936928 99795696 969443904 8361453672 65033528560 461738052776 3022285436352 18385569737808 104656320045984 560658857389200 2840671544105280
loop(\(x,i).((((((x * 2) * 2) * (2 + 1)) * ((2 + 2) + 1)) div (i + 1)) - x),x,(x + 1))
A017774: 1 58 1653 30856 424270 4582116 40475358 300674088 1916797311 10648873950 52179482355 227692286640 891794789340 3155581562280 10142940735900 29752626158640
loop(\(x,i).(((((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 2)) div (i + 1)) + x),x,(x + 1))
A017717: 1 54 1485 27720 395010 4582116 45057474 386206920 2944827765 20286591270 127805525001 743595781824 4027810484880 20448884000160 97862516286480 443643407165376
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * (2 + 2)) div (i + 1)) - x),x,(x + 1))
A017782: 1 66 2145 45760 720720 8936928 90858768 778789440 5743572120 37014131440 210980549208 1074082795968 4922879481520 20448884000160 77413632286320 268367258592576
loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) + 1) * x) * 2) div (i + 1)) + x),x,(x + 1))
A017731: 1 68 2346 54740 971635 13991544 170230452 1799579064 16871053725 142466675900 1096993404430 7778680504140 51209646652255 315136287090800 1823288518168200 9967310565986160
loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * 2) div (i + 1)) - x),x,(x + 1))
A017776: 1 60 1770 34220 487635 5461512 50063860 386206920 2558620845 14783142660 75394027566 342700125300 1399358844975 5166863427600 17345898649800 53194089192720
loop(\(x,i).(((((((x div 2) div (2 + 1)) + 1) div ((x mod (2 + 2)) + 1)) mod 2) + 1) + x),x,1)
A124391: 1 2 3 4 6 7 8 9 11 12 14 16 18 20 21 22
(((((x * x) * x) * (x * x)) * (x * x)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A001596: 1 8 177 2530 18785 94932 397585 1647086 7861953 45136576 292475249 1996813914 13877119009 96951758924 678328486353 4747732369318
(((((loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),x,2) + 1) div (2 + 1)) + x) * x) + 1)
A140285: 1 15 10671
(loop(\(x,i).((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + x),x,x) + 1)
A291934-A291785: 1 2 3 4 5 7 7 8 9 11 11 16 13 16 16 16
((loop(\(x,i).((((x - ((((x mod 2) * 2) - 1) * (i + 1))) * 2) + 1) + x),x,0) + 1) div 2)
A076149: 0 3 5 20 54 169 499 1506 4508 13535 40593 121792 365362 1096101 3288287 9864878
(if x <= 0 then 1 else ((((x - (2 + 2)) mod ((x mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1) * 2))
A318472: 1 2 2 2 2 4 2 4 2 4 2 4 2 4 4 8
(((if (x - 1) <= 0 then 0 else ((((x + 1) mod (2 + 1)) * (((2 + 1) * 2) + 1)) + 1)) + 1) div 2)
A021679: 0 0 1 4 8 1 4 8 1 4 8 1 4 8 1 4
((if x <= 0 then 2 else ((x mod ((x div (((x mod (((x div 2) mod 2) + 2)) + 2) + 1)) + 1)) + 1)) div 2)
A280716: 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 2
(if x <= 0 then 1 else ((((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1) * 2))
A342087: 1 2 2 2 2 4 2 4 2 4 2 6 2 4 4 4
(x mod (if (x - 1) <= 0 then 1 else ((((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) + 1) * 2)))
A079327: 0 0 0 3 0 1 0 3 2 1 0 3 0 1 2 7
(if x <= 0 then 1 else (((x mod ((((x - 1) mod ((2 + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1) * 2))
A058263: 1 2 2 2 2 4 2 2 2 2 6 4 2 2 2 2
((x + 1) div (((x + 1) * 2) div ((x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 2)))
A293224: 1 1 1 2 1 2 1 2 1 3 1 4 1 4 2 5
((if x <= 0 then 0 else ((((((2 + 2) + 1) * (x + 1)) + 1) mod (((2 + 1) * 2) + 1)) + 1)) - 2)
A194518: ~2 3 1 ~1 4 2 0 5 3 1 ~1 4 2 0 5 3
((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) div ((x mod (((2 + 1) * 2) + 1)) + 1)) div 2)
A273923: 0 0 0 0 0 1 3 52
(if x <= 0 then 1 else ((((x div 2) mod ((((2 - x) mod ((x div (2 + 2)) + 2)) div 2) + 1)) + 1) * 2))
A083533: 1 2 2 2 2 2 4 2 2 2 2 4 2 2 4 4
((if x <= 0 then 0 else ((x div ((((1 - (x * 2)) mod (((x div 2) + 2) + 2)) + 2) + 1)) + 1)) * 2)
A276604: 0 2 2 4 2 2 4 4 6 2 2 4 4 4 4 6
((loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) * 2),x,(((2 + 2) * 2) + 1)) + 1) div 2)
A208387: 5 117 3042 79092 2056392 53466192 1390120992 36143145792 939721790592 24432766555392 635251930440192 16516550191444992 429430304977569792 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(i * x),(x * 2),((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1)) * 2)
A279109: 2 8 48 5760 80640 14515200 958003200 1394852659200 41845579776000 25609494822912000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * 2) * (2 + 1)) div ((2 + 2) + 1)) + 1) * 2)
A103800: 4 6 8 10 14 18 20 22 26 28 30 32 34 38 40 42
(if x <= 0 then 1 else (((((x div (2 + 1)) + 1) div 2) div ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 2))
A292585: 1 2 2 2 3 2 3 2 3 3 3 2 4 3 2 2
((if (x mod (2 + 1)) <= 0 then (((x div ((2 + 2) + 1)) + 1) * (((x mod 2) + 2) + 1)) else 1) div 2)
A280728: 1 0 0 2 0 0 3 0 0 4 0 0 4 0 0 8
(if x <= 0 then 1 else (x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)))
A136167: 1 0 0 1 0 1 0 2 1 1 0 2 0 1 1 3
((loop(\(x,i).((((x mod 2) + 1) * 2) * (x + 1)),(x div 2),(((x mod 2) * 2) + 1)) + 1) div 2)
A222011: 1 2 4 8
A246347: 1 2 4 8 9 17 19 35 39 71 79 143 159 287 319 575
(if x <= 0 then 1 else (((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)) + 2))
A334216-A082091: 1 2 2 3 2 2 2 3 3 2 2 3 2 2 2 4
(1 - (((if x <= 0 then 2 else (((x - (((x - 1) * x) div (2 + 2))) + 1) div (2 + 1))) + 1) div 2))
A026823: 0 1 0 0 1 1 1 1 2 2 3 3 4 5 6 7
(if x <= 0 then 1 else (x div (((x + 1) div (((x - ((x div (2 + 1)) mod 2)) mod (2 + 1)) + 1)) + 2)))
A039651: 1 0 0 1 0 1 0 1 1 1 0 1 0 1 2 2
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017646: 1000000 113379904 1544804416 9474296896 38068692544 117649000000 304006671424 689869781056 1418519112256 2699554153024 4826809000000 8198418170944 13339032325696 20924183895616
((loop(\(x,i).((i + 1) * x),(2 + 2),(x + 1)) + x) * ((((2 + 2) * (2 + 1)) - 1) * 2))
A157609: 2640 5302 7964 10626 13288 15950 18612 21274 23936 26598 29260 31922 34584 37246 39908 42570
((((loop(\(x,i).(((((x - 1) * x) div 2) + i) - 1),x,(1 - x)) div 2) div (2 + 1)) + 1) div 2)
A191938: 0 0 0 1 615
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) * (2 + 1)) + 1) * 2))
A017551: 128 105413504 8031810176 114415582592 781250000000 3521614606208 12151280273024 34792782221696 86812553324672 194871710000000 402271083010688 775771085481344 1414067010444416 2458100350228352
((((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + 1),(x - 2),1) + x) div (2 + 1)) + 1) + 2)
A120188: 3 3 4 4 5 6 6 7 8 9 11 12 14 16 18 21
(x - ((x div ((loop(\(x,i).(x * 2),x,((x mod (2 + 1)) + 1)) mod ((x * 2) + 1)) + 1)) * 2))
A144774: 0 1 2 1 4 5 6 1 4 9 10 7 12 13 14 1
((x + 2) - (if x <= 0 then 1 else ((x mod 2) - (((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2))))
A233272: 1 2 4 4 7 7 8 8 12 12 13 13 15 15 16 16
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 1)) + 1) div 2)
A097613: 1 2 7 25 91 336 1254 4719 17875 68068 260338 999362 3848222 14858000 57500460 222981435
((loop(\(x,i).((x - ((((x * 2) * (0 - 2)) * (2 + 1)) div (x + 2))) * 2),x,1) + 1) div 2)
A173034: 1 5 20 52 116 244 500 1012 2036 4084 8180 16372 32756 65524 131060 262132
((if x <= 0 then 2 else ((((x mod ((((x + 1) mod (2 + 1)) * 2) + 1)) + 1) mod (x + 1)) - 1)) div 2)
A113429: 1 ~1 0 0 ~1 0 0 1 0 0 0 0 0 1 0 0
((compr(\x.((loop(\(x,i).(((x * 2) * 2) + 1),x,1) mod ((x * 2) + 1)) - 1),(x + 1)) + 1) * 2)
A243937: 6 8 12 14 18 20 24 30 32 36 38 42 44 48 54 60
((compr(\x.((loop(\(x,i).((((x + 2) * 2) * 2) + 1),x,1) mod (x + 1)) - 1),(x + 1)) + 1) * 2)
A050990: 4 6 8 10 12 14 22 24 26 30 34 38 46 56 58 62
(((if (x mod 2) <= 0 then ((x div 2) + 1) else (((x mod ((2 + 2) * 2)) + 1) mod (x + 1))) + 1) div 2)
A029189: 1 0 1 0 2 0 2 0 3 1 3 2 4 3 4 4
((((((loop(\(x,i).((x + 2) * 2),x,(2 + 2)) * 2) * 2) * (2 + 1)) div (x + 1)) + 1) div 2)
A003138: 24 36 56 90 149 252 435 765 1363 2455 4466 8190 15122 28085 52427 98303
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) * (x + 1)) - 1) * 2))
A017143: 279936 105413504 2494357888 21870000000 114415582592 435817657216 1338925209984 3521614606208 8235430000000 17565568854912 34792782221696 64847759419264 114868566764928 194871710000000
(((loop(\(x,i).((((x div (2 + 1)) * ((2 + 2) + 1)) + x) + 2),x,2) div (x + 1)) + 1) div 2)
A003008: 1 1 2 4 8 17 39 90 213
((((x mod (((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 1) * ((2 + 2) + 1)) - 1)) div 2) + 1) div 2)
A273302: 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 2
(((if x <= 0 then 1 else (x div ((x div (((x div 2) mod ((x mod (2 + 2)) + 1)) + 1)) + 2))) + 1) div 2)
A170980: 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 2
((((if x <= 0 then 2 else (((((x * 2) + 1) * (2 + 1)) mod ((x div 2) + 1)) + 1)) div 2) + 1) div 2)
A112222: 1 0 1 1 0 0 1 1 1 1 1 1 2 1 2 2
((((((loop(\(x,i).((((i * i) div (x + 2)) + x) + x),x,1) + 1) div 2) + 1) div 2) + 1) div 2)
A246878: 1 1 1 2 3 6 12 24 47 94 188 376 752 1504 3008 6016
(if (x mod 2) <= 0 then 1 else (((x mod (((x mod (((x mod (2 + 2)) + 1) * 2)) + 1) * 2)) + 1) * 2))
A297402: 1 4 1 8 1 4 1 16 1 4 1 8 1 4 1 32
(((((loop(\(x,i).(((x div 2) + x) + 2),(x div 2),((x mod 2) + 1)) div 2) + 1) div 2) + 1) div 2)
A005686: 0 1 1 1 1 1 2 2 3 3 4 5 6 8 9 12
(((((((loop(\(x,i).((x - 1) * (2 + 1)),x,2) + 2) mod (x + 1)) div 2) + 1) div 2) + 1) * 2)
A102763: 2 2 4 2 4 4 4 2 6 4 4 4 4 4 6 6
(if x <= 0 then 1 else (((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) + 1) * 2))
A049716: 1 2 2 2 4 2 2 4 2 2 4 2 4 6 2 2
(((((((((if (x mod 2) <= 0 then x else 1) * x) * ((x + 2) + 1)) div 2) div 2) + 1) div 2) + 1) + 2)
A053991: 3 4 6 5 17 8
(if (x - 1) <= 0 then 1 else ((((x mod ((x div ((x div ((2 + 2) * 2)) + 2)) + 1)) div 2) + 1) * 2))
A096445: 1 1 2 2 2 4 4
A219654: 1 1 2 2 2 4 4 4 4 2 4 4 4 4 6 4
((((if x <= 0 then 2 else (((((x * x) mod (((2 + 1) * x) + 2)) div 2) div 2) + 1)) div 2) + 1) div 2)
A137900: 1 0 1 1 0 1 1 0 1 2 1 1 2 1 2 3
(((if x <= 0 then 1 else ((((((x + 1) * x) div 2) * (2 + 1)) div ((2 + 2) + 1)) + 2)) + 1) * 2)
A178549: 4 6 8 12 18 24 30 38 48 60 72 84 98 114 132 150
((x + 1) div (if x <= 0 then 1 else ((((((x - 1) * x) + 2) mod (((2 + 2) + 1) * 2)) + 1) * 2)))
A029388: 1 0 0 0 0 1 1 0 0 1 1 2 1 0 1 2
(((x mod ((((if (((x div 2) - 2) - 2) <= 0 then 1 else x) + x) mod ((2 + 2) + 1)) + 2)) + 1) div 2)
A182071: 0 1 1 2 0 1 1 1 1 1 0 2 0 1 2 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 1) * 2) + 1) * 2))
A193063-A165132: 2 3 5 7 11 13
A039712: 2 3 5 7 11 13 3 5 9 1 3 9 13 1 5 11
(((if x <= 0 then 1 else (((((x * 2) * (2 + 1)) - (x div 2)) - (x div (2 + 1))) * 2)) + 1) + 2)
A063129: 4 15 25 35 45 57 65 77 87 97 107 119 127 139 149 159
(((((if (((x div 2) + 1) mod 2) <= 0 then (x mod 2) else (x div 2)) + (x mod (2 + 1))) div 2) + 1) div 2)
A053616: 0 0 1 0 1 1 0 1 2 1 0 1 2 2 1 0
(((if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2) * (((x mod (2 + 1)) div 2) + 1)) * 2)
A100008: 2 2 4 2 4 4 4 2 4 4 4 4 4 4 8 2
((if x <= 0 then 2 else ((((((((x mod 2) + 1) * 2) + 1) * 2) mod ((x div 2) + 1)) div 2) + 1)) div 2)
A197945: 1 0 0 0 0 0 1 1 0 0 0 1 2 1 2 1
(1 - (((loop(\(x,i).(((((x div 2) + x) div ((2 + 2) + 1)) + x) - 1),x,1) div 2) + 1) div 2))
A274200: 1 1 1 2 2 3 4 5 7 9 12 16 20 27 35 45
(((loop(\(x,i).(((((((x div 2) + 1) div 2) div 2) * (2 + 1)) + x) + 1),x,1) div 2) + 1) div 2)
A003269: 0 1 1 1 1 2 3 4 5 7 10 14 19 26 36 50
(2 - (((loop(\(x,i).(((x + 2) - (((2 + 2) * 2) * (2 + 1))) * 2),x,1) * 2) + 1) * 2))
A278124: ~4 168 512 1200 2576 5328 10832 21840 43856 87888 175952 352080 704336 1408848 2817872 5635920
(1 - (((loop(\(x,i).((((((x mod 2) * 2) * 2) * 2) + 1) - (x div 2)),x,1) div 2) + 1) div 2))
A118828: 1 ~1 0 ~1 ~1 1 0 1 1 ~1 0 ~1 ~1 1 0 1
((((loop(\(x,i).(((0 - x) * 2) * ((2 + 2) + 1)),(x + 1),1) mod (x + 1)) div 2) + 1) div 2)
A257992: 0 0 1 0 0 1 1 0 2 0 0 1 1 1 1 0
((((((loop(\(x,i).((x * x) + 2),2,((2 + 2) + 1)) * 2) - 1) * (x + 1)) div 2) + 1) div 2)
A033173: 365 731 1096 1461 1826 2192 2557 2922 3287 3653 4018 4383 4748 5114 5479 5844
((((loop(\(x,i).(((x * x) * x) * (x * x)),1,(x mod (2 + 1))) mod (x + 1)) div 2) + 1) + 2)
A121937: 3 3 4 3 3 4 3 3 5 3 3 7 3 3 4 3
((((loop(\(x,i).(x * 2),(x - 1),((((x div 2) * x) mod 2) + 1)) mod (x + 1)) div 2) + 1) div 2)
A249071: 0 0 1 0 1 1 1 0 1 2 2 2 2 2 1 0
((((loop(\(x,i).(x * 2),x,(0 - (((x mod (2 + 2)) * 2) * 2))) mod (x + 1)) div 2) + 1) div 2)
A213185: 0 0 0 0 0 1 2 0 0 1 1 0 0 2 3 0
((loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * (x + 1)),2,x) * (((x + 1) * 2) + 1)) * 2)
A240719: 1092 3510
(x div (((x * 2) div (((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 2) * 2) + 1)) + 2))
A303975: 0 0 1 0 1 1 1 0 1 1 1 1 2 1 2 0
(if x <= 0 then 1 else ((((((((x div 2) + x) - ((x div 2) mod (2 + 1))) + 1) div 2) div 2) + 1) * 2))
A035114: 1 2 2 4 4 4 6 6 8 8 8 8 10 12 12 12
(x div (((x + 1) mod (((((if (x mod 2) <= 0 then x else (2 - x)) mod (2 + 1)) + 2) + 2) + 1)) + 2))
A234716: 0 0 0 0 0 1 1 1 2 1 1 2 2 3 4 3
((((((loop(\(x,i).((x * 2) - 1),x,((2 + 2) * (2 + 1))) * 2) * 2) * 2) * 2) + 1) * 2)
A277988: 386 738 1442 2850 5666 11298 22562 45090 90146 180258 360482 720930 1441826 2883618 5767202 11534370
(if x <= 0 then 1 else ((x mod (((((x * 2) mod (((x div (2 + 1)) + 2) + 2)) mod 2) * 2) + 1)) * 2))
A028605: 1 0 0 0 2 0 0 0 0 0 0 4 0 0 0 0
((((loop(\(x,i).((x + 2) * 2),x,(((x div ((2 + 2) * 2)) + 2) + 2)) div 2) div 2) + 1) div 2)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A290547: 1 2 4 8 16 32 64 128 288 576 1152 2304 4608 9216 18432 36864
((((((loop(\(x,i).((x div 2) + x),(x - 1),2) * ((x + 2) + 2)) div 2) div 2) div 2) + 1) div 2)
A206139: 1 1 1 2 3 5 8 13 21 34 55 88 141 224 356 563
((((((loop(\(x,i).(((x * x) div (2 + 2)) + x),2,(x - 2)) div 2) div 2) div 2) div 2) + 1) div 2)
A319471: 0 0 0 0 0 0 1 1 2 3 5 7 11 14 20 25
((if x <= 0 then 2 else ((x div ((((((x div 2) * (x + 1)) - x) div (2 + 2)) mod 2) + 2)) + 1)) div 2)
A050373: 1 0 1 1 1 1 1 2 1 2 2 3 3 2 4 4
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x - ((x div (2 + 2)) mod 2)) div 2) + 1) div 2))
A314896: 1 5 9 14 19 24 29 33 38 43 47 52 57 62 67 71
((x div 2) - ((if x <= 0 then 0 else (((((x div 2) + 1) div (((x div 2) mod 2) + 2)) mod 2) + 1)) mod 2))
A055656: 0 ~1 0 0 2 2 3 3 3 3 4 4 6 6 6 6
loop(\(x,i).(((x + 1) * x) div 2),1,(1 - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2))))
A013322: 1 3 3 3 6 6 6 10 10 10 15 15 15 15 15 15
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) div (x + 1)) mod (((2 + 2) + 1) * 2))
A061480: 0 0 3 0 0 6 1 0 1 0 0 3 0 7 6 0
((compr(\x.(1 - ((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2))),x) + 2) mod (((2 + 2) + 1) * 2))
A088308: 2 4 6 8 9 0 2 4 5 6 8 0 1 2 4 5
((0 - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (((2 + 2) + 1) * 2))
A072003: 8 7 5 3 9 7 3 1 7 1 9 3 9 7 3 7
(1 - ((((if (2 - (x div (2 + 2))) <= 0 then (x div (2 + 1)) else 1) + x) mod ((2 + 2) + 1)) div 2))
A259660: 1 0 0 ~1 1 1 0 0 1 0 0 ~1 1 0 0 1
(if x <= 0 then 1 else (((x * 2) - ((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1))) * 2))
A315171: 1 6 10 14 18 22 26 30 34 38 44 50 54 58 62 66
(2 - ((if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2) mod ((x mod ((2 + 2) + 1)) + 2)))
A035172: 1 1 1 1 0 1 0 1 1 0 2 1 0 0 0 1
((((compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),x) div 2) * 2) + 1) * 2)
A082542: 2 2 6 6 10 14 18 18 22 30 30 38 42 42 46 54
(((((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) div 2) - 1) div (((x mod 2) * 2) + 1)) + 2)
A330690: 1 1 1 2 1 2 1 2 4 2 1 2 1 2 4 4
(((loop(\(x,i).(((x + 2) + 1) * 2),x,((((2 + 2) * 2) * 2) + 1)) - 1) * (2 + 1)) * 2)
A304510: 96 234 510 1062 2166 4374 8790 17622 35286 70614 141270 282582 565206 1130454 2260950 4521942
(((((x div (2 + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) * (2 + 1)) div 2)
A157261: 1 1 1 3 1 1 1 4 1 1 1 3 1 1 1 9
((loop(\(x,i).((((x + 2) + 2) + 2) * 2),x,((((2 + 2) * 2) * 2) + 1)) * (2 + 1)) - 2)
A304171: 49 136 310 658 1354 2746 5530 11098 22234 44506 89050 178138 356314 712666 1425370 2850778
(((x div 2) + 1) - (if x <= 0 then 1 else (((((x mod 2) + x) div ((2 + 2) + 1)) * (2 + 1)) div 2)))
A307092: 0 1 2 2 3 2 3 3 4 2 3 3 4 4 5 4
((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * (2 + 1)) div 2)
A076277: 0 0 0 1 0 1 0 3 1 1 0 4 0 1 1 7
(if x <= 0 then 1 else (((((((x * 2) * 2) * 2) * 2) * (((x * x) * 2) + 1)) div (2 + 1)) * 2))
A019560: 1 32 192 608 1408 2720 4672 7392 11008 15648 21440 28512 36992 47008 58688 72160
(x div ((if x <= 0 then 0 else (1 - ((0 - (((x * x) div (2 + 2)) mod (x + 1))) div (2 + 1)))) + 2))
A154364: 0 0 0 0 0 1 1 1 1 3 2 2 1 4 2 2
(((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else 2) + ((x + 1) div (2 + 1))) div 2)
A057431: 0 1 1 0 1 1 1 2 2 1 1 3 2 3 3 2
(if x <= 0 then 1 else ((((((x * 2) * 2) - (x div (((2 + 1) * 2) + 1))) * 2) div (2 + 1)) * 2))
A310503: 1 4 10 16 20 26 32 36 40 46 52 56 62 68 72 76
((((((loop(\(x,i).(x * x),1,((x div 2) - (x mod 2))) div 2) div 2) + 1) div 2) * (2 + 1)) div 2)
A340760: 0 0 0 0 1 0 1 1 3 1 4 3 7 4 9 7
(if x <= 0 then 1 else ((((((x * 2) * 2) - ((x div 2) div ((2 + 2) + 1))) * 2) div (2 + 1)) * 2))
A310504: 1 4 10 16 20 26 32 36 42 48 52 56 62 68 72 78
(loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(2 + 1)) div 2)
A151787: 1 3 3 6 3 6 6 12 3 6 6 12 6 12 12 24
(if x <= 0 then 1 else (((x * 2) - ((1 - (x - (((1 - x) div (2 + 1)) * 2))) div (2 + 1))) * 2))
A310502: 1 4 10 16 20 26 30 36 42 46 50 56 62 66 72 76
(x - (((((if ((x mod (2 + 1)) div 2) <= 0 then (x mod (2 + 1)) else x) + 1) div 2) * (2 + 1)) div 2))
A082009: 0 0 1 3 3 1 6 6 2 9 9 2 12 12 4 15
((((loop(\(x,i).(x * 2),x,((((x mod 2) * 2) * 2) + 1)) mod (x + 1)) div 2) * (2 + 1)) div 2)
A293903: 0 0 0 0 0 3 0 0 3 0 0 3 0 7 3 0
((loop(\(x,i).(((x + 2) * x) * (x + 1)),1,(((x + 2) * (x + 1)) div 2)) div (2 + 1)) div 2)
A198833: 1 10 56 220 680 1771 4060 8436 16215 29260 50116 82160 129766 198485 295240 428536
(if x <= 0 then 1 else (((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1)) + 2))
A028829: 1 2 2 2 3 3 4 4 4 4 4 4 4 5 5 6
(if x <= 0 then 1 else (((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) mod (2 + 1)) + 2))
A048669: 1 2 2 2 2 4 2 2 2 4 2 4 2 4 3 2
((if x <= 0 then 1 else (x * 2)) - ((x - (((((x * 2) - 1) * (x + 2)) div 2) div (2 + 1))) div 2))
A127762: 1 2 4 7 10 13 16 20 25 29 34 39 45 51 57 64
(loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (i + 1)) + (x * 2)),(x * 2),(2 + 1)) * 2)
A054324: 6 224 4032 50688 512512 4472832 35094528 254017536 1725825024 11142168576 68975329280 412216197120 2390853943296 13514114596864 74693776244736 404792077713408
(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (x * x)),((x * 2) + 1),1) div ((2 + 1) * 2))
A022241: 1 16148168401 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((2 + 1) * x) - ((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1))) * 2))
A315646: 1 6 12 16 22 26 32 36 42 48 54 60 64 70 74 80
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 1) * x) * (2 + 1)) + 2))
A017191: 128 19487171 1280000000 17249876309 114415582592 506623120463 1727094849536 4902227890625 12151280273024 27136050989627 55784660123648 107213535210701 194871710000000 337931541778439
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2))
A314894: 1 5 9 14 19 24 28 33 38 43 47 52 57 61 66 71
((loop(\(x,i).(x - ((x div (((2 - x) div (2 + 2)) - 2)) - 1)),x,0) + (x div (2 + 1))) div 2)
A025201: 0 0 1 3 4 6 8 10 12 15 17 19 22 25 27 30
((((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) * ((x mod 2) + 1)) + (x mod (2 + 1))) div 2)
A156542: 0 1 1 1 1 2 0 1 1 2 1 2 0 1 2 1
((((if (2 - x) <= 0 then ((x div 2) - ((x - 1) div (2 + 1))) else 1) * 2) - (x mod (2 + 1))) div 2)
A029298: 1 0 0 1 0 0 2 0 1 2 1 1 3 1 2 3
((if ((((1 - x) mod (2 + 1)) + x) mod ((2 + 2) + 1)) <= 0 then 2 else 0) + ((x mod (2 + 1)) div 2))
A291770: 0 0 1 0 0 1 0 0 3 2 2 1 0 0 1 0
(((((loop(\(x,i).(((x div ((x mod 2) + 2)) + x) + 2),x,2) div (x + 2)) + x) div 2) + 1) div 2)
A100665: 0 1 1 1 2 2 3 4 5 6 7 9 12 15 19 25
(loop(\(x,i).(x * x),1,((((((x * x) div (2 + 2)) + (x * 2)) + 1) div (x + 2)) + 1)) * 2)
A245508: 2 8 8 8 18 18 18 32 32 32 32 50 50 50 50 72
((loop(\(x,i).(((((x mod 2) + 2) + 1) * ((2 + 2) + 1)) div (x + 1)),2,(x * 2)) + 1) div 2)
A083662: 1 2 3 3 5 5 5 5 8 8 8 8 8 8 8 8
((if x <= 0 then 1 else ((((x * 2) div (((2 + 2) * 2) + 1)) + x) + 2)) + (((x * 2) + 1) * 2))
A001968: 3 9 14 19 24 30 35 40 45 51 56 61 66 71 77 82
(if x <= 0 then 0 else (1 - (x mod (((((x mod ((x mod 2) + 2)) + 1) * 2) mod ((x div 2) + 1)) + 2))))
A324692: 0 0 1 0 1 0 ~1 0 1 0 ~1 0 1 0 ~1 ~2
(loop(\(x,i).(((x * 2) + 1) - (((x div (2 + 2)) mod 2) * (((2 + 1) * 2) + 1))),x,1) div 2)
A215095: 0 1 3 4 8 17 35 68 136 273 547 1092 2184 4369 8739 17476
((compr(\x.((x + 1) mod ((x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2)) + 1)),x) + 1) * 2)
A319796: 2 4 6 8 12 16 18 20 24 28 30 32 36 40 42 48
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 2) + 1) * x) + 1) * 2))
A017299: 128 35831808 2494357888 34359738368 230539333248 1028071702528 3521614606208 10030613004288 24928547056768 55784660123648 114868566764928 221068140740608 402271083010688 698260569735168
(1 - (loop(\(x,i).(x - ((2 - ((x div 2) div (((x - 1) mod (2 + 1)) + 1))) div 2)),x,1) div 2))
A335766: 1 1 2 2 3 3 4 5 6 7 9 10 12 14 18 20
(((((((loop(\(x,i).(x * 2),((x div (2 + 1)) - 2),x) + x) div 2) + x) div 2) + x) + 1) div 2)
A259627: 0 1 2 3 4 5 6 7 8 10 11 12 17 18 19 28
(loop(\(x,i).((2 - (((2 + 2) * (x + 1)) mod (((2 + 1) * 2) + 1))) + (x * 2)),x,1) div 2)
A222010: 0 1 3 7
A275788: 0 1 3 7 13 25 49 99 199 399 797 1593 3185 6371 12743 25487
(((((x + 1) div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1) mod (x + 1)) div 2)
A286471: 0 0 0 1 0 2 0 1 1 3 0 1 0 4 2 1
((if x <= 0 then 2 else (((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1))) div 2)
A131802: 1 0 0 0 0 1 0 1 0 1 0 3 0 1 1 2
((x + 2) div ((loop(\(x,i).(x * 2),(2 - ((2 - x) div ((2 + 2) + 1))),1) mod (x + 1)) + 2))
A245195: 1 1 1 2 1 1 2 4 1 1 1 2 2 2 4 8
(loop(\(x,i).((((((i * 2) - 1) * x) * 2) * (2 + 1)) div (i + 2)),(x + 1),(x + 1)) div 2)
A101601: 1 9 81 756 7290 72171 729729 7505784 78298974 826489170 8811646074 94753804536 1026499549140 11192793160815 122744496427425 1352917116177840
(((loop(\(x,i).((((((i mod 2) * 2) - 1) * i) + x) * (i + 1)),x,0) div 2) * (x + 1)) div 2)
A145886: 0 1 0 12 50 405 3234 29680 300348 3337425 40382540 528644556 7445076990 112248853717 1803999433950 30788257007040
loop(\(x,i).((2 + 1) * x),(x + 1),((((((x + 2) + 2) + 2) * (x + 2)) * (x + 1)) div 2))
A288836: 18 189 1296 7290 36450 168399 734832 3070548 12400290 48715425 187067232 704690766 2611501074 9542023155 34437376800 122941435176
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (x + 2)) * (x + 1)) div 2)
A196421: 2 9 30 70 165 273 476 684 1035 1595 2046 2886 3731 4515 5640 7208
loop(\(x,i).(2 - (x - ((x div (((2 + 1) * 2) + 1)) * ((2 + 2) + 1)))),2,((x + 1) * 2))
A194529: 2 ~1 1 ~2 0 2 ~1 1 3 0 2 4 1 3 0 2
((((if (x mod 2) <= 0 then 2 else (((x * 2) + 1) * ((2 + 2) + 1))) + 2) * x) div ((x + 1) * 2))
A019428: 0 4 1 13 1 23 1 33 1 43 1 53 1 63 1 73
((loop(\(x,i).(x * x),1,(((((x - 2) * x) * (x - 1)) div 2) div (2 + 1))) * (x - 1)) div 2)
A132458: 0 0 0 1 24 200 1000 3675 10976 28224 64800 136125 266200 490776 861224 1449175
((((x mod ((x div (2 + 2)) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1)) + (if x <= 0 then 1 else 2))
A328401: 1 2 2 3 2 2 2 4 3 2 2 5 2 2 2 6
((loop(\(x,i).(x - (((((x - 2) * 2) div ((x div (2 + 2)) + 2)) mod 2) - 1)),x,x) + 1) * 2)
A078750: 2 4 8 8 10 16 16 16 18 20 32 32 32 32 32 32
((((x div ((x div ((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + 2)) + 1)) + 1) div 2) * 2)
A309709: 0 2 2 4 2 2 4 4 2 4 2 4 4 4 4 4
(((((loop(\(x,i).((x + 2) * 2),x,1) * 2) * ((((2 + 2) * 2) * 2) + 1)) - 1) * 2) * 2)
A305271: 132 812 2172 4892 10332 21212 42972 86492 173532 347612 695772 1392092 2784732 5570012 11140572 22281692
(((((if (x - 2) <= 0 then 1 else (x div (2 + 1))) * (((x - 1) mod (2 + 2)) + 1)) + 1) div 2) div 2)
A029265: 1 0 0 1 1 0 1 1 2 1 1 2 4 1 2 4
(((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * (((2 + 2) * (2 + 1)) - 1)) - 2) - 2)
A131191: 7 18 29 40 51 62 73 84 95 106 128 139 150 161 172 183
((((loop(\(x,i).(x * x),1,(2 - ((((x + 2) + 1) * x) div 2))) div (2 + 1)) + 1) div 2) div 2)
A104385: 0 0 1 4 12 27 52 91 147 225 331 469 645 867 1141 1474
((((((loop(\(x,i).((x * x) + 2),2,((2 + 2) + 1)) * 2) - 1) * (x + 1)) + 1) div 2) div 2)
A033172: 365 730 1096 1461 1826 2191 2557 2922 3287 3652 4018 4383 4748 5113 5479 5844
((((loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + i),x,0) * 2) - 1) * 2) + 2)
A198080: 0 4 116 3144 84904 2292428 61895580 1671180688 45121878608 1218290722452 32893849506244 888133936668632 23979616290053112 647449639831434076 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((x + 1) mod ((((x + 1) mod ((x div (2 + 2)) + 1)) * 2) + 1)) div 2) * 2))
A028613: 1 0 0 0 2 0 0 0 0 0 0 0 0 4 0 0
((((((loop(\(x,i).(x * 2),((x - 1) div 2),1) + (x * 2)) div (2 + 1)) div 2) + 1) div 2) * 2)
A214927: 0 0 0 2 2 2 2 4 4 6 6 10 10 16 16 26
((loop(\(x,i).(((((x * x) * (2 + 2)) * 2) * (2 + 1)) + 1),((x + 1) * 2),1) + 2) + 2)
A145275: 15005 4611686018427387903 4611686018427387903
(x - (((x - loop(\(x,i).(((x div 2) - ((x mod 2) * 2)) + 1),((x + 1) div 2),1)) div 2) * 2))
A118822: 2 ~1 0 ~1 ~2 1 0 1 2 ~1 0 ~1 ~2 1 0 1
(if x <= 0 then 1 else ((((2 + 1) * x) - ((((x - ((x div (2 + 2)) mod 2)) div 2) + 1) div 2)) * 2))
A315342: 1 6 10 16 22 28 34 38 44 50 54 60 66 72 78 82
((loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),(x + 2),(((2 + 2) * 2) + 1)) + 2) + 2)
A108903: 959 9559 95559 955559 9555559 95555559 955555559 9555555559 95555555559 955555555559 9555555555559 95555555555559 955555555555559 9555555555555559 95555555555555559 955555555555555559
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (x div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)))
A315750: 1 6 12 18 23 29 35 41 46 52 58 64 70 76 82 87
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) + 1) * 2) * 2))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242120: 2 3 5 7 11 13 17 19 3 9 11 17 1 3 7 13
(1 - (((((if (x - (((2 + 2) + 1) * 2)) <= 0 then 1 else 2) + x) mod ((2 + 2) + 1)) mod 2) * 2))
A119664: ~1 1 ~1 1 1 ~1 1 ~1 1 1 ~1 ~1 1 1 ~1 1
((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2)
A335905: 0 0 1 0 2 1 2 0 3 2 3 1 3 2 4 0
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((x - 1) div (2 + 1))) div 2) + 2)
A089190: 1 2 3 4 7 8 10 11 13 16 18 21 23 24 26 29
((loop(\(x,i).(x - ((1 - (x div 2)) div (2 + 1))),x,(((2 + 1) * 2) * (2 + 1))) div 2) div 2)
A120181: 4 5 6 7 8 9 11 12 14 17 20 23 27 31 36 42
((((loop(\(x,i).((((((2 + 2) + 1) * 2) * 2) + x) * 2),x,1) + 2) + (2 + 1)) * 2) * 2)
A305166: 24 188 516 1172 2484 5108 10356 20852 41844 83828 167796 335732 671604 1343348 2686836 5373812
((if x <= 0 then 2 else ((((((x div (2 + 2)) mod 2) + ((x + 1) * 2)) * 2) div (2 + 1)) + 2)) + 2)
A123938: 4 6 8 9 11 12 14 15 16 17 18 20 22
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) * (2 + 1)) + 2) * 2))
A017575: 16384 268435456 13492928512 163840000000 1028071702528 4398046511104 14645194571776 40867559636992 100000000000000 221068140740608 450766669594624 860542568759296 1555363874947072
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((x * 2) * (2 + 1)) + 2) * 2)))
A017442: 4096 11390625 308915776 2565726409 12230590464 42180533641 117649000000 282429536481 606355001344 1194052296529 2194972623936 3814697265625 6327518887936 10090298369529 15557597153344
(if x <= 0 then 1 else ((((2 + 1) * x) - ((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2)) * 2))
A315340: 1 6 10 16 22 28 32 38 44 50 54 60 66 70 76 82
((((((loop(\(x,i).(x * 2),x,((x div (2 + 2)) + 2)) div (2 + 1)) + x) div 2) + 1) div 2) div 2)
A283315: 0 0 0 1 2 4 9 17 43
((1 - (x mod (1 - ((x mod (((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)) + 1)) * 2)))) div 2)
A206825: 0 0 1 0 0 0 3 2 0 0 1 0 0 0 7 0
(((loop(\(x,i).((((x * 2) * (2 + 1)) + 1) * x),((x + 1) div 2),1) * (x + 1)) div 2) div 2)
A309740: 0 3 5 301
(((((((if (((2 + 1) * 2) mod (x + 1)) <= 0 then 1 else 2) + 2) + 2) + 1) * (x + 1)) div 2) div 2)
A187839: 1 3 4 7 8 9 12 14 15 17 19 21 22 24 26 28
((if x <= 0 then 1 else (((((((x * x) mod ((2 + 2) + 1)) + 1) div 2) * 2) mod (x + 1)) + 2)) div 2)
A165014: 0 1 1 1 2 1 2 3 3 2 1 2 3 3 2 1
((((((loop(\(x,i).((x * 2) - (i mod 2)),(x - 1),1) div 2) + 2) + 2) * (x + 1)) div 2) div 2)
A018255: 1 2 3 5 6 10 15 30
(1 - ((loop(\(x,i).(0 - (((x * x) * (x * x)) * (x * x))),1,((x * x) + 1)) div 2) * 2))
A091470: 3 65 15627
(2 - (if x <= 0 then 1 else ((x mod 2) - ((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2))))
A318874-A301957-A001227: 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1
(((loop(\(x,i).((i + 2) * x),((((2 + 2) * (2 + 1)) + 1) * (x + 1)),1) div 2) div 2) div 2)
A172716-A172611: 81729648000 4611686018427387903 4611686018427387903 4611686018427387903
(((x - ((((x - 1) div ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) - 1) div 2)) div 2) + 2)
A037037: 2 3 3 3 4 4 5 5 5 6 7 6 7 7 8 9
(((loop(\(x,i).(((x div (2 + 2)) + x) + 1),x,((((2 + 2) * 2) * 2) - 1)) div 2) + 2) div 2)
A146968: 4 5 7
A120163: 4 5 7 8 10 13 16 20 25 31 39 49 61 76 95 119
(if (x - (2 + 2)) <= 0 then (((x - (1 - (((x div 2) + 1) * ((2 + 2) + 1)))) div 2) - 2) else 2)
A021292: 0 0 3 4 7 2 2 2 2 2 2 2 2 2 2 2
(loop(\(x,i).(1 - x),x,(((((((x div 2) + x) * x) + 1) div ((2 + 2) + 1)) mod 2) * 2)) + 2)
A106826: 2 3 4 3 4 1 4 3 4 1 2 1 4 1 4 3
((((((((if (x - 2) <= 0 then 1 else 2) + x) * ((2 + 2) + 1)) + 1) * (2 + 1)) div 2) div 2) - 2)
A190695: 2 6 10 17 21 25 28 32 36 40 43 47 51 55 58 62
(((((if ((x + 1) mod (2 + 2)) <= 0 then ((x + 1) div (2 + 1)) else 1) * (2 + 1)) div 2) * 2) - 2)
A060278: 0 0 0 0 0 0 0 4 0 0 0 10 0 0 0 12
((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) * 2)
A056196: 8 24 32 40 56 72 88 96 104 120 128 136 152 160 168 184
(((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) * (2 + 1)) div 2) div 2) div 2)
A305736: 0 0 0 1 0 1 0 2 1 1 0 4 0 1 1 5
((((x * x) - (if x <= 0 then 1 else (x - ((x div 2) - (((x + 1) div (2 + 1)) mod 2))))) div 2) + 2)
A081612: 1 2 3 5 8 13 18 24 31 39 49 59 71 83 96 110
(((if x <= 0 then 1 else ((x - ((2 - ((((x * 2) * 2) * 2) * 2)) * (2 + 1))) * 2)) + 2) + 2)
A336783: 5 90 188
(loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) * 2)
A161411: 4 12 12 36 12 36 36 108 12 36 36 108 36 108 108 324
(if x <= 0 then 1 else (((((2 - ((x * 2) mod ((x div 2) + 2))) mod ((x + 2) + 1)) div 2) div 2) + 2))
A339049: 1 2 2 2 2 2 2 4 4 2 4 2 2 2 2 6
((((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * 2) * 2) * 2)
A085131: 8 16 24 32 40 48 56 64 72 80 96 112 120 128 144 160
(loop(\(x,i).((((((2 + 2) * 2) + x) * 2) * ((2 + 2) + 1)) + 1),((x + 1) * 2),2) - 2)
A274755: 1089 109989 10999989 1099999989 109999999989 10999999999989 1099999999999989 109999999999999989 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1) div ((((x + 1) div 2) div 2) + 2))
A285701: 0 1 1 0 1 0 2 0 0 0 1 0 1 0 0 0
((((if (x mod (2 + 2)) <= 0 then 2 else (x * 2)) * 2) * (x + 1)) mod ((((x + 1) div 2) div 2) + 2))
A053201: 0 0 0 0 2 0 0 0 0 0 0 3 2 3 0 0
((((((loop(\(x,i).((x - i) * x),2,((x + 2) + 1)) * 2) div (2 + 1)) * 2) * 2) * 2) * 2)
A120054: 256 1280 3840 8960 17920 32256 53760 84480 126720 183040 256256 349440 465920 609280 783360 992256
((((if x <= 0 then 1 else ((((((2 + 2) + 1) * x) - (x div (2 + 1))) * 2) * 2)) + 2) + 2) + 2)
A063159: 7 26 46 62 82 102 118 138 158 174 194 214 230 250 270 286
(((((loop(\(x,i).((((2 - x) mod (2 + 2)) + i) + (x + 1)),x,1) div 2) + 2) div 2) * 2) - 2)
A162762: 0 2 4 6 8 14 18 22 26 34 40 46 52 62 70 78
(((((x mod (((loop(\(x,i).(x * 2),x,(2 + 2)) - 1) mod (x + 1)) + 2)) div 2) + 2) + 2) div 2)
A074592: 2 2 2 2 3 2 2 3 2 2 2 2 2 3 2 5
((((loop(\(x,i).(x * x),1,(x - (((x + 2) * x) div ((2 + 2) * 2)))) div 2) div 2) div 2) div 2)
A320657: 0 0 0 0 0 0 0 0 0 0 1 2 5 7 12 16
((if x <= 0 then 1 else ((((((1 - (x div (2 + 1))) mod (2 + 1)) + x) div (2 + 2)) + 2) * 2)) div 2)
A130855: 0 2 2 2 3 3 4 4 4 4 4 5 5 5 5 6
((((2 + 1) - (if x <= 0 then 1 else x)) mod (1 - ((x div (((2 - x) div (2 + 2)) - 2)) * 2))) div 2)
A338971: 0 1 0 0 2 1 1 0 0 0 0 3 2 2 1 1
((if x <= 0 then 1 else ((x - (((((1 - (x div 2)) div (2 + 1)) * (x div 2)) div 2) div 2)) + 2)) + 2)
A336101-A267895: 3 5 6 7 9 10 11 12 13 14 17 18 19 20 22 23
((loop(\(x,i).((x + 1) * x),1,((((1 - ((2 + 2) * (2 + 1))) - x) * 2) * 2)) div 2) div 2)
A157434: 473 564 663 770 885 1008 1139 1278 1425 1580 1743 1914 2093 2280 2475 2678
((x + 1) div ((((if (x mod 2) <= 0 then (x div 2) else ((x * x) + 2)) mod ((x + 2) + 2)) + 2) + 2))
A236412-A236263: 0 0 0 0 0 1 1 0 1 1 1 1 1 2 1 0
((((x + 1) div (if (x mod (2 + 2)) <= 0 then ((2 + 2) + 1) else (2 - ((x div 2) mod 2)))) + 2) div 2)
A181803: 1 1 2 3 1 2 4 5 1 3 6 7 2 4 8 9
(((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 1) * (x div ((2 + 2) * 2)))
A218825: 0 0 0 0 0 0 0 0 3 1 1 3 1 3 3 1
((((x * 2) div ((2 + 2) + 1)) + (if x <= 0 then 1 else ((x * 2) * 2))) - (x div ((2 + 2) * 2)))
A058759: 1 4 8 13
A311913: 1 4 8 13 17 22 26 30 34 38 43 47 51 56 60 65
(if x <= 0 then 1 else ((((2 + 1) * x) - ((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2))) * 2))
A315729: 1 6 12 18 22 26 32 38 44 50 56 62 66 70 76 82
(((x + 1) * 2) div loop(\(x,i).((2 + 1) * x),((x mod 2) + 1),((2 - (x mod (2 + 2))) + 2)))
A308067: 0 0 1 0 0 0 2 1 1 0 3 2 2 1 5 3
((((loop(\(x,i).((2 + 1) * x),((x div ((0 - 2) - 2)) div (0 - 2)),1) + x) div 2) + 2) div 2)
A107320: 1 1 1 2 2 3 3 3 3 4 4 4 4 6 6 7
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 1) * x) + 2) * 2) * 2))
A017623: 2097152 1280000000 34359738368 319277809664 1727094849536 6722988818432 20971520000000 55784660123648 131593177923584 282621973446656 562949953421312 1054135040000000 1874584905187328
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - (((((2 + 1) * x) + 2) * 2) * 2)))
A017490: 262144 47045881 729000000 4750104241 19770609664 62523502209 164206490176 377149515625 782757789696 1500730351849 2699554153024 4608273662721 7529536000000 11853911588401 18075490334784 26808753332089
((x - ((((x div (loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)) * 2)) + x) div 2) * 2)) + 2)
A094290: 2 3 2 5 2 3 2 7 2 3 2 5 2 3 2 11
(((if x <= 0 then 1 else (((((((x mod (2 + 1)) * (x div 2)) mod 2) + x) div 2) + x) + 2)) + 2) + 2)
A184110: 5 7 9 10 12 13 15 17 18 19 21 22 24 25 27 28
(((if (x - 1) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * ((x * 2) + 1)) else (x + 2)) * 2) + 2)
A087406: 24 68 10 12 14 16 18 20 22 24 26 28 30 32 34 36
((2 - ((loop(\(x,i).((i + 2) * x),x,2) - 1) mod ((2 + 2) + 1))) + (((x * 2) * 2) * 2))
A267329: 1 10 15 22 30 38 46 54 62 70 78 86
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(2 - (x - (((x * 2) * 2) * 2))))
A017011: 128 4782969 268435456 3404825447 21870000000 94931877133 319277809664 897410677851 2207984167552 4902227890625 10030613004288 19203908986159 34792782221696 60170087060757 100000000000000 160578147647843
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(2 - (x - (((x * 2) * 2) * 2))))
A053369: 2 9 32 115 420 1554 5808 21879 82940 316030 1209312 4644094 17889032 69089700 267444000 1037348415
(((if x <= 0 then 1 else (((x - 1) mod (((2 + 2) * 2) + 1)) + x)) + x) + (((x * 2) * 2) * 2))
A061470: 1 10 21 32 43 54 65 76 87 98 100 111 122 133 144 155
(loop(\(x,i).(x * 2),(((((x div (2 + 2)) + (x * 2)) * (2 + 1)) div 2) + (x div 2)),2) * 2)
A102557-A093581: 4 32 512 4096 131072 1048576 16777216 134217728 8589934592 68719476736 1099511627776 8796093022208 281474976710656 2251799813685248 36028797018963968 288230376151711744
((x + 1) div ((x div (((((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1)) + (x mod 2)) + 2)) + 2))
A328482-A267263-A060130: 0 1 1 2 1 2 1 2 2 3 2 3 1 2 2 3
((x + 1) div ((x div ((2 - (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else (x mod 2))) + 2)) + 2))
A332999: 0 1 1 1 1 2 2 1 2 2 2 2 2 2 3 1
(1 - (((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div (2 + 1)) + 1) mod (2 + 2)))
A257834: 0 0 ~1 ~1 1 1 ~1 ~1 1 ~1 ~1 1 ~1 ~1 1 ~1
((if (2 - (x mod ((x div ((2 - (x mod 2)) * 2)) + 1))) <= 0 then ((x + 1) * x) else 1) mod (2 + 2))
A281188: 1 1 1 1 1 2 1 0 0 2 1 0 1 2 2 0
((((loop(\(x,i).((((2 + 1) * 2) + (x div (2 + 1))) + x),x,2) div 2) + 1) div 2) + (2 + 2))
A120151: 5 6 8 11 15 20 26 35 47 62 83 111 148 197 263 350
(((loop(\(x,i).(((x * x) * x) * (x * x)),(x * 2),(2 + 1)) * (2 + 1)) div 2) div (2 + 2))
A022263: 1 317733228541 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).((x * x) * x),2,((2 + 1) * 2)) mod (x + 1)) * (2 + 1)) div 2) mod (2 + 2))
A336118: 0 0 0 0 1 0 1 0 0 1 3 0 3 1 1 0
(((if (x mod (2 + 1)) <= 0 then ((((x * x) - 1) mod ((2 + 2) + 1)) + 1) else 0) + x) div (2 + 2))
A029250: 1 0 0 1 1 1 1 1 2 2 2 2 4 3 3 5
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)))
A315745: 1 6 12 18 23 28 34 40 46 52 58 64 69 74 80 86
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)))
A313685: 1 5 10 15 19 23 28 33 38 43 48 53 57 61 66 71
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((((x div 2) + x) mod (2 + 2)) + x) div (2 + 2)))
A315020: 1 5 9 15 19 23 29 33 38 43 47 53 57 61 67 71
(((((if ((x div 2) - 2) <= 0 then x else ((x + 2) + 2)) + 1) div (2 + 1)) + 1) + (x div (2 + 2)))
A266113: 1 1 2 2 3 4 5 6 7 7 8 8 9 10 10 10
((if x <= 0 then 1 else ((((((x div 2) div (0 - 2)) mod (x + 1)) div 2) + x) + 2)) + (x div (2 + 2)))
A308011: 1 3 5 6 9 10 11 13 15 17 18 19 22 23 24 26
((((if x <= 0 then 1 else (((2 + 2) + 1) - ((x div 2) div (((0 - 2) - 2) - 1)))) + x) + 2) + 2)
A241145: 5 10 12 13 14 15 16 17 18 19 20 21 23 24 25 26
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 2) + 1) * x) + 2) * 2))
A017323: 16384 105413504 4586471424 52523350144 319277809664 1338925209984 4398046511104 12151280273024 29509034655744 64847759419264 131593177923584 250226879128704 450766669594624 775771085481344
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) * ((((x + 1) * x) div 2) + 2))
A215773: 0 3 25 120 420 1190 2898 6300 12540 23265 40755 68068 109200 169260 254660 373320
((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) * (2 + 1)) div 2) + x) + 2) * 2)
A284883: 4 6 10 12 14 16 22 24 28 30 32 34 40 42 44 46
(loop(\(x,i).((x - (((x + 1) div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2)) + 2),x,2) + 2)
A299546: 4 5 6 7 8 9 10 11 13 15 17 19 21 23 24 26
((if x <= 0 then 1 else (((((((2 - (x div 2)) div 2) * (x div (2 + 1))) div 2) div 2) + x) + 2)) + 2)
A009004: 3 5 6 7 8 9 9 10 11 12 12 13 14 15 15 15
((if x <= 0 then 1 else (((((((x - (x div (2 + 1))) mod (2 + 1)) div 2) + x) div 2) + x) + 2)) + 2)
A324101: 3 5 7 9 10 11 13 15 16 17 19 21 22 23 25 26
(((((2 - (x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1))) - (x mod 2)) + x) div 2) div 2)
A049615: 0 0 0 1 0 1 2 1 1 2 3 2 3 2 3 4
(loop(\(x,i).(x * 2),x,1) div (((((2 - (x mod 2)) + ((x * 2) * 2)) + 1) * (x + 2)) * 2))
A309662: 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 15
(loop(\(x,i).(((x * x) * x) mod (((2 + 1) * 2) * ((2 + 2) + 1))),(x + 1),(x + 2)) - 2)
A222215: 6 1 2 3 4 5 0 7 8 9 16 11 12 13 14 15
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((x * 2) div ((((x * 2) * 2) div (x + 2)) + 2)))
A315526: 1 6 11 17 22 28 34 40 45 51 56 62 68 73 79 84
(if x <= 0 then 1 else ((((x - ((x div 2) mod ((0 - 2) - 2))) div ((2 + 2) + 1)) + (x * 2)) * 2))
A310367: 1 4 10 14 18 22 26 30 34 38 44 48 52 58 62 66
(if x <= 0 then 1 else ((((((x div 2) mod ((2 + 2) + 1)) + x) div ((2 + 2) + 1)) + (x * 2)) * 2))
A311601: 1 4 8 12 18 22 26 32 36 40 44 48 52 56 62 66
(if x <= 0 then 1 else ((((((((x * 2) + 1) div (2 + 1)) * 2) + 1) div (2 + 1)) + (x * 2)) * 2))
A315207: 1 6 10 14 20 24 30 34 38 44 50 54 58 64 68 74
(if x <= 0 then 1 else (((x - (((x - ((x div 2) div (2 + 1))) * 2) div (2 + 1))) + (x * 2)) * 2))
A315208: 1 6 10 14 20 24 30 34 40 44 48 54 60 64 68 74
(if x <= 0 then 1 else ((((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1)) + (x * 2)) * 2))
A311384: 1 4 8 12 16 22 28 32 36 40 44 48 52 56 60 66
(if x <= 0 then 1 else ((((((x div (2 + 1)) mod (2 + 1)) + (x * 2)) div (2 + 1)) + (x * 2)) * 2))
A310521: 1 4 10 16 22 26 32 38 44 48 52 58 64 70 74 80
(if x <= 0 then 1 else (x - (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) - (x * 2)) * 2)))
A313733: 1 5 10 15 20 25 30 33 38 45 50 55 60 63 68 75
(if x <= 0 then 1 else ((((((x - (x div ((2 + 2) + 1))) * (2 + 1)) div 2) div 2) + (x * 2)) * 2))
A310518: 1 4 10 16 22 26 30 36 42 48 52 56 62 68 74 78
(if x <= 0 then 1 else (((x - ((x div 2) mod ((0 - 2) - 2))) div ((2 + 2) + 1)) + ((x * 2) * 2)))
A312891: 1 4 9 13 17 21 25 29 33 37 42 46 50 55 59 63
((if x <= 0 then 1 else (((2 - (x div 2)) mod ((x + 2) + 2)) div ((2 + 2) + 1))) + ((x * 2) * 2))
A311196: 1 4 8 12 16 20 25 30 34 38 42 46 50 54 58 62
((x - ((0 - (if (((x div 2) - 2) - 2) <= 0 then 1 else x)) div ((2 + 2) + 1))) + ((x * 2) * 2))
A315468: 1 6 11 16 21 26 31 36 41 46 52 58 63 68 73 78
((if x <= 0 then 1 else ((((x div 2) mod ((2 + 2) + 1)) + x) div ((2 + 2) + 1))) + ((x * 2) * 2))
A311440: 1 4 8 12 17 21 25 30 34 38 42 46 50 54 59 63
((if x <= 0 then 1 else (((((2 - x) div 2) mod (2 + 2)) + x) div ((2 + 2) + 1))) + ((x * 2) * 2))
A058759: 1 4 8 13
A311802: 1 4 8 13 17 21 25 29 33 37 42 46 51 55 59 63
((if x <= 0 then 1 else (((x - ((x div 2) div ((2 + 2) + 1))) * 2) div (2 + 1))) + ((x * 2) * 2))
A313053: 1 4 9 14 18 23 28 32 37 42 46 50 55 60 64 69
((if x <= 0 then 1 else ((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1))) + ((x * 2) * 2))
A311289: 1 4 8 12 16 21 26 30 34 38 42 46 50 54 58 63
(if x <= 0 then 1 else ((((x - ((((x + 1) div 2) div 2) div 2)) * 2) div (2 + 1)) + ((x * 2) * 2)))
A313051: 1 4 9 14 18 23 28 32 36 41 46 50 55 60 64 68
((if x <= 0 then 1 else ((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1))) + ((x * 2) * 2))
A313057: 1 4 9 14 18 23 28 33 38 42 47 52 56 60 65 70
((if x <= 0 then 1 else ((((x div (2 + 1)) mod (2 + 1)) + (x * 2)) div (2 + 1))) + ((x * 2) * 2))
A313100: 1 4 9 14 19 23 28 33 38 42 46 51 56 61 65 70
((x div (((((x div (2 + 1)) mod (2 + 2)) + 2) * 2) + 1)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311125: 1 4 8 12 16 20 24 28 32 36 40 45 50 54 58 62
(x - (((((x * 2) div ((x div 2) + 2)) - x) div (2 + 1)) - (if x <= 0 then 1 else ((x * 2) * 2))))
A314117: 1 5 11 16 21 26 32 37 42 47 53 58 63 69 74 79
((x - (((x - ((x div (2 + 2)) mod 2)) div 2) div (0 - 2))) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314112: 1 5 11 16 21 26 31 37 42 47 53 58 63 68 73 79
(((((x * x) - ((x div 2) div (2 + 1))) mod (2 + 1)) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A311183: 1 4 8 12 16 20 25 28 32 37 40 44 48 53 57 60
(((((x - (x div ((2 + 2) + 1))) * (2 + 1)) div 2) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313090: 1 4 9 14 19 23 27 32 37 42 46 50 55 60 65 69
(x - (((((x div (2 + 1)) mod 2) + (x div (2 + 2))) div 2) - (if x <= 0 then 1 else ((x * 2) * 2))))
A313696: 1 5 10 15 19 24 30 35 39 44 49 54 59 64 69 73
(((((0 - ((x div 2) div (2 + 1))) mod (2 + 1)) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312935: 1 4 9 13 18 22 28 32 37 41 46 50 54 59 63 68
((((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313894: 1 5 10 16 21 27 32 38 43 48 53 58 64 69 75 80
((((((x div (2 + 2)) mod (2 + 1)) + x) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313891: 1 5 10 16 21 27 32 37 43 48 54 59 64 69 74 80
((((((x div (2 + 1)) mod 2) + (x div (2 + 2))) div 2) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313779: 1 5 10 15 21 26 30 35 41 46 51 56 61 66 71 77
((((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313793: 1 5 10 15 21 27 32 37 42 47 52 57 63 69 74 79
(((((((x div 2) + x) mod (2 + 2)) + x) div (2 + 2)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A137002: 1 5 11 15
A314056: 1 5 11 15 21 27 31 37 42 47 53 57 63 69 73 79
((x - ((0 - (if ((x div (2 + 2)) - 2) <= 0 then 2 else x)) div ((2 + 1) * 2))) + ((x * 2) * 2))
A315467: 1 6 11 16 21 26 31 36 41 46 51 56 62 68 73 78
(((((((if (x mod ((2 + 2) + 1)) <= 0 then 1 else 2) * x) div 2) div (2 + 1)) + 1) * (x mod 2)) div 2)
A174479: 0 0 0 1 0 0 0 1 0 2 0 2 0 2 0 1
(loop(\(x,i).(((((x + 2) * 2) * ((2 + 2) + 1)) - (x mod 2)) + 1),(x div 2),(x mod 2)) + 2)
A024773: 2 3 23 32 232
((if (2 - ((x * 2) mod (((x div (2 + 1)) + 2) + 2))) <= 0 then (x + 2) else 1) mod ((x mod 2) + 2))
A259895: 1 0 1 1 0 1 1 0 0 2 0 1 1 0 0 2
(((((x div 2) * x) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1)) + 1) - ((x mod 2) * 2))
A319993: 1 ~1 1 0 1 ~1 1 0 3 ~1 1 0 1 ~1 1 0
(((loop(\(x,i).((x * 2) * 2),x,1) mod (((2 + 2) * (2 + 1)) + 1)) - 1) - ((x mod 2) * 2))
A021081: 0 1 2 9 8 7 0 1 2 9 8 7 0 1 2 9
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),((x + 1) div 2),(1 - ((x mod 2) * 2)))
A099363: 1 ~1 1 ~2 2 ~5 5 ~14 14 ~42 42 ~132 132 ~429 429 ~1430
(((loop(\(x,i).(((((x + 1) * x) div ((2 + 2) + 1)) div (2 + 1)) + 1),2,x) + x) div 2) + 2)
A177876: 2 3 3 4
A182281: 2 3 3 4 4 5 5 6 7 8 9 11 12 15 17 20
(compr(\x.((x mod (((if ((x - 2) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2) * 2) + 1)) - 1),x) + 2)
A201363: 2 3 7
A329783: 2 3 7 8 11 12 13 17 18 22 23 27 28 32 33 37
(if x <= 0 then 1 else (compr(\x.(1 - (x mod (((x mod (((x mod 2) + 2) + 1)) * (2 + 1)) + 1))),x) + 2))
A080596: 1 4 5 7 9 10 11 12 13 15 17 19 21 22 23 24
(if x <= 0 then 1 else ((((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + x) + 2))
A088743: 1 3 5 5 7 9 9 9 11 13 15 15 15 17 17 17
(compr(\x.(if x <= 0 then 0 else (1 - (x mod ((((1 - x) * (x - 1)) mod ((2 + 2) * 2)) + 1)))),x) div 2)
A320840: 0 1 1 2 3 3 5 5 6 7 9 9 10 11 11 13
(if x <= 0 then 1 else (((((((x * 2) * 2) * (x + 1)) * ((x * 2) + 1)) div (2 + 1)) - x) * 2))
A152100: 1 14 76 218 472 870 1444 2226 3248 4542 6140 8074 10376 13078 16212 19810
(compr(\x.(((x mod (((if (x mod ((2 + 1) * 2)) <= 0 then 2 else 1) * 2) + 1)) + 2) mod (2 + 1)),x) * 2)
A277568: 2 8 12 14 20 26 32 38 44 48 50 56 62 68 72 74
(if x <= 0 then 1 else ((((((x * 2) - (x div (1 - ((2 + 2) * 2)))) * 2) div (2 + 1)) + x) * 2))
A315204: 1 6 10 14 20 24 28 34 40 44 48 54 58 62 68 74
(loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * (x + 1)),2,(x mod 2)) * (((2 + 1) * x) + 2))
A305184: 364 1755
(((if (x div (2 + 1)) <= 0 then 1 else (((((1 - x) mod (2 + 2)) + 1) + x) div (2 + 1))) + x) + 2)
A137905: 3 4 5 7 8 9 11 12 13 14 16 17 18 19 22 23
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) + ((x div 2) mod 2)) + 2) - (x mod (2 + 1))),x,2)
A037635: 2 15 108 758 5307 37152 260066 1820463 12743244 89202710 624418971 4370932800 30596529602 214175707215 1499229950508 10494609653558
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) * (x + 1)) + x) * 2))
A017371: 2097152 612220032 13492928512 114415582592 587068342272 2207984167552 6722988818432 17565568854912 40867559636992 86812553324672 171382426877952 318547390056832 562949953421312
((((x + 2) div ((if ((2 - (x div ((2 + 2) + 1))) mod (2 + 2)) <= 0 then 2 else 1) + 2)) + x) + 2)
A049692: 2 4 5 6 8 9 10 12 13 14 15 16 17 18 20 22
(loop(\(x,i).((x - ((((((x div 2) - 2) * 2) div ((2 + 2) + 1)) - x) * 2)) - 1),2,x) div 2)
A187949: 2 5 10 13 15 18 23 26 31 34 36 39 44 47 49 52
(loop(\(x,i).(compr(\x.(1 - ((x + 1) mod ((((x div 2) + 2) div (2 + 1)) + 1))),x) + 1),2,x) div 2)
A196026: 5 6 7 9 10 11 12 13 14 14 15 16 17 18 18 19
(if x <= 0 then 1 else (compr(\x.(1 - (x mod (((((2 + 2) * (2 + 1)) + 1) mod (x + 1)) + 2))),x) + 2))
A231407: 1 4 6
A171413: 1 4 6 7 8 10 11 12 13 15 16 18 19 20 21 22
((((((if (x - 2) <= 0 then x else (2 - ((1 - x) div (2 + 1)))) * (2 + 1)) div 2) div 2) + x) + 2)
A266347: 2 3 5 7 8 10 11 12 13 14 15 17 18 19 21 22
loop(\(x,i).((x * 2) - (((x - ((((x div (2 + 1)) * x) div 2) div (2 + 1))) div 2) mod 2)),x,2)
A262482: 2 3 5 10 20 40 79 158 316 631 1261 2521 5042 10083 20165 40330
loop(\(x,i).((x * 2) - ((x - ((((((1 - x) * x) div 2) * (2 + 1)) div 2) div 2)) mod 2)),x,2)
A262236: 2 3 6 12 24 47 94 187 373 745 1490 2979 5958 11916 23832 47663
((((((((loop(\(x,i).((x div 2) + x),(x - 1),2) div 2) div 2) div 2) div 2) div 2) div 2) + x) + 2)
A096902: 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20 24
((loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (i + 1)) + x),x,((2 + 2) * 2)) - x) - 2)
A063267: 6 33 116 325 786 1709 3424 6426 11430 19437 31812 50375 77506 116265 170528 245140
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) * (((x + 2) * 2) + x)) div 2)
A024482: 2 7 25 91 336 1254 4719 17875 68068 260338 999362 3848222 14858000 57500460 222981435 866262915
(((((if ((x div (2 + 1)) - 2) <= 0 then x else (x + 2)) * ((2 + 2) + 1)) div (x + 2)) + x) + 2)
A328077: 2 4 6 8 9 10 11 12 14 16 17 18 19 20 21 22
compr(\x.(((x * x) div 2) mod (2 + 1)),(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2))
A208296: 11 13 23 25 35 37 47 59 61 73 83 85 95 107 119 121
((((x + 2) * (x + 1)) div 2) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A156056: 1 0 1 3 4 8 11 17 22 26 4 4 9 19 26 30
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),1) - ((x + 2) * x)) - 2)
A225692: 0 0 4 25 106 392 1380 4797 16714 58685 207890 742755 2674270 9694648 35357444 129644533
(((x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))) * loop(\(x,i).((x * x) * x),2,x)) div 2)
A229152: 0 10 7936 413343 6946816 62500000 377913600 1735205101 6509559808 20920706406 59500000000 153266599915 363764514816 805941952348 1683875312896 3344572265625
(if x <= 0 then 1 else compr(\x.((x mod 2) - (2 - (x mod (((x mod ((x mod 2) + 2)) + 2) + 2)))),(x + 2)))
A231407: 1 4 6
A051234: 1 4 6 8 9 10 12 14 16 18 20 21 22 24 25 26
((1 - (((x mod 2) - (x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x mod 2)))) div 2)) * (x + 2))
A062956: 2 3 8 5 18 14 24 18 50 22 72 39 56 60 128 51
(if (x - 1) <= 0 then 1 else ((((((x * x) div (2 + 2)) + (x * x)) div (2 + 1)) + 1) + (x * 2)))
A333296: 1 1 6 10 15 21 28 35 43 52
(((if (x - 1) <= 0 then x else ((((((x * x) - 1) * x) div 2) div (2 + 1)) + 2)) + 1) + (x * 2))
A058759: 1 4 8 13
A038793: 1 4 8 13 21 33 50 73 103 141 188 245 313 393 486 593
(loop(\(x,i).((((((x * 2) * (2 + 1)) * (2 + 1)) + i) + 1) * (2 + 1)),x,1) + (x * 2))
A065991: 1 62 3253
(loop(\(x,i).((((x div ((((x div 2) div (2 + 1)) + 2) + 1)) mod 2) + x) + 2),x,1) + (x * 2))
A313683: 1 5 10 15 19 23 27 32 37 42 47 52 57 61 65 69
(((if (x mod ((((2 + 2) + 1) mod ((x div (2 + 2)) + 1)) + 2)) <= 0 then 1 else 0) + 2) + (x * 2))
A285346: 3 4 7 8 10 12 15 16 19 20 22 24 27 28 30 33
loop(\(x,i).((((((((x div 2) mod 2) + x) div 2) * 2) div (2 + 1)) - (x mod 2)) + 1),2,(x * 2))
A329143: 0 0 1 1 1 2 1 1 3 2 2 3 2 2 4 4
((((if x <= 0 then 1 else (((((x mod 2) * 2) + x) mod ((x div 2) + 1)) * 2)) + x) + x) + (x * 2))
A008579: 1 4 8 14 18 22 28 30 38 38 48 46 58 54 68 62
((((if x <= 0 then 0 else ((((x - (2 + 2)) div ((x div 2) + 1)) mod 2) + 1)) + 1) + x) + (x div 2))
A231407: 1 4 6
A299411: 1 4 6 7 8 9 11 12 14 16 18 19 21 22 24 25
(((((x div 2) div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)) * 2) * (2 + 1)) + (x mod 2))
A331423: 0 1 0 7 0 13 0 19 0 25 0 31 0 37 6 43
(((x - (if (((((x * 2) - 1) * (x div 2)) div 2) mod (2 + 1)) <= 0 then 1 else 0)) mod 2) - (x mod 2))
A328800: 1 ~1 0 0 0 ~1 0 0 1 0 0 0 1 ~1 0 0
(((x - (if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 1 else 0)) mod 2) - (x mod 2))
A106459: 1 ~1 0 ~1 0 0 1 0 0 0 1 0 0 0 0 ~1
(((x mod (((((if (x mod 2) <= 0 then x else 1) + x) div (2 + 1)) mod (2 + 1)) + 1)) mod 2) - (x mod 2))
A059652: 0 ~1 0 0 1 ~1 0 0 0 ~1 0 0 0 0 0 ~1
((if x <= 0 then 0 else (2 - ((x div (((x * 2) mod (((2 + 2) * 2) + 1)) + 2)) mod 2))) - (x mod 2))
A287418: 0 1 2 1 2 0 1 0 2 1 2 0 1 0 2 0
((x + 1) mod (if x <= 0 then 1 else (x - ((((x - (((x div 2) - 1) div 2)) div 2) mod 2) - (x mod 2)))))
A117054: 0 0 0 1 1 0 1 1 2 0 1 0 2 1 2 0
((if x <= 0 then 1 else ((((x * 2) mod (((x div ((2 + 2) * 2)) + 2) + 2)) mod 2) + 2)) - (x mod 2))
A237271: 1 1 2 1 2 1 2 1 3 2 2 1 2 2 3 1
((if (x mod (2 + 1)) <= 0 then 1 else ((x mod (1 - (((x div (2 + 2)) + 2) + 2))) mod 2)) - (x mod 2))
A214960: 1 ~1 1 0 0 0 1 0 0 0 0 ~1 1 0 0 0
((if x <= 0 then 1 else (((((x - 1) * x) div ((((x mod 2) * x) + 2) + 2)) mod 2) + 2)) - (x mod 2))
A307720: 1 1 2 1 3 1 3 2 2 2 2 2 3 2 3 2
((loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),(x div 2),((x mod 2) + 2)) - 2) + (x mod 2))
A094625: 0 2 22 33 242 343 2442 3443 24442 34443 244442 344443 2444442 3444443 24444442 34444443
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x div 2),(x div 2)) div (2 - (x mod 2)))
A116385: 0 0 1 2 5 10 21 42 84 168 330 660 1287 2574 5005 10010
loop(\(x,i).((((((2 + 2) * 2) * 2) + x) - 1) * (((2 + 2) * 2) + 1)),(x div 2),(x mod 2))
A038369: 0 1 135 144
((((((loop(\(x,i).((2 - (x mod ((0 - 2) - 2))) * x),x,x) + 1) * 2) + 1) + x) + x) + 2)
A260981: 5 17 41
A122035: 5 17 41 461
(((((loop(\(x,i).(x * x),1,(((((x + 2) + 2) + 1) * x) div 2)) + x) + 1) + x) + x) + 2)
A343994: 3 15 58 156 339 643 1110 1788 2731 3999 5658 7780 10443 13731 17734 22548
((loop(\(x,i).(x - ((((x div 2) - ((x div ((2 + 2) + 1)) * 2)) * 2) - 1)),2,x) + x) div 2)
A098382: 1 1 2 2 3 5 6 6 7 7 8 10 9 11 10 12
((loop(\(x,i).(x - (((x - ((x * x) div (2 + 2))) div 2) div ((2 + 2) + 1))),2,x) + x) div 2)
A173552: 0 1 2 3 4 6 7 8 9 11 12 13 16 17 19 21
((loop(\(x,i).(((((x - (x div (0 - 2))) div ((2 + 2) + 1)) mod 2) + x) - 1),2,x) + x) + 2)
A222011: 1 2 4 8
A206928: 1 2 4 8 10 12 14 15 16 18 22 24 26 27 28 30
((((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else 2) * (2 + 1)) - (x mod 2)) + x) + x) * 2)
A194399: 6 8 14 16 22 24 30 32 38 40 46 48 54 56 62 70
((loop(\(x,i).(((((((2 - x) * (x div 2)) div 2) div (2 + 1)) mod 2) + x) + 1),x,0) + 1) - x)
A063273: 1 1 1 1 2 3 4 5 5 5 6 6 7 7 7 7
compr(\x.(1 - (x mod (((if (x mod ((((x mod 2) * 2) * 2) + 1)) <= 0 then 0 else 2) * (2 + 1)) + 1))),x)
A235583: 1 3 9 11 13 17 19 23 27 29 31 33 37 39 41 43
((((((if (x - 1) <= 0 then 2 else (((x - 1) div 2) * (x div 2))) div 2) + 2) div (2 + 1)) + 1) + x)
A177876: 2 3 3 4
A301277: 2 3 3 4 6 7 8 10 11 13 15 16 18 20 22 24
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) * (2 + 1)) - 1) * x))
A017395: 0 19487171 2494357888 42618442977 319277809664 1522435234375 5455160701056 16048523266853 40867559636992 93206534790699 194871710000000 379749833583241 698260569735168 1222791080775407
(((loop(\(x,i).((((x + 1) * x) div 2) + (((x * 2) + 1) * 2)),2,x) div (2 + 1)) + 1) - x)
A024191: 5 19 47 95 170 280 434 642 915 1265 1705 2249 2912 3710 4660 5780
compr(\x.(2 - ((x + 1) mod (((if (((x + 1) div 2) mod ((2 + 1) * 2)) <= 0 then 2 else 0) * 2) + 1))),x)
A112063: 11 12 23 36 47 48 71 72 83 96 107 108 131 132 143 156
(loop(\(x,i).((((((2 + 1) * x) + 2) * ((2 + 2) + 1)) * ((2 + 2) + 1)) - 1),2,1) * x)
A004954-A004934: 0 9349 18698 28047 37396 46745 56094 65443 74792 84141 93490 102839 112188 121537 130886 140235
compr(\x.(2 - ((x * 2) mod ((((if x <= 0 then 1 else (x * x)) mod (((2 + 2) * 2) + 1)) * 2) + 1))),x)
A189636: 1 2 4 5 7 10 11 13 14 16 19 20 22 25 28 29
compr(\x.(2 - (((loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2) + 1) mod (((2 + 1) * 2) + 1))),x)
A320698: 3 5 6 7 9 10 11 12 14 17 18 19 20 21 22 23
compr(\x.(if x <= 0 then 1 else ((((x div (((2 + 1) * 2) + 1)) * 2) * x) mod (((2 + 1) * 2) + 1))),x)
A032942: 1 2 3 4 5 6 7 14 21 28 35 42 49 50 51 52
compr(\x.(x mod (((((x * 2) mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) * 2) + 1)),x)
A241571: 0 3 5 6 9 10 12 15 17 18 20 21 24 25 27 30
(loop(\(x,i).i,(((((((x * 2) div ((2 + 2) + 1)) * 2) + 1) * (2 + 1)) div 2) div 2),1) + x)
A166018: 1 2 3 5 6 8 9 10 13 14 16 17 18 21 22 24
(((x div ((((loop(\(x,i).((0 - x) * 2),x,(2 + 2)) - 1) mod (x + 1)) + 2) + 2)) + 1) + x)
A306311: 1 2 3 4 5 6 7 8 9 11 12 13 14 15 18 16
(((if (((x div 2) - 2) - 2) <= 0 then 0 else (((2 + 2) * 2) + 1)) * (((2 + 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A280658: 0 1 2 3 4 5 6 7 8 9 91 92 93 94 95 96
((((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 1) * (((2 + 2) * 2) + 1)) + x)
A088923-A088479-A088478-A043525-A011539: 9 19 29 39 49 59 69 79 89 90 91 92 93 94 95 96
(((x - ((x mod (((2 + 2) + 1) * 2)) mod (if x <= 0 then 1 else x))) * (((2 + 2) * 2) + 1)) + x)
A011540: 0 10 20 30 40 50 60 70 80 90 100 101 102 103 104 105
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017454: 15625 16777216 387420489 3010936384 13841287201 46656000000 128100283921 304006671424 646990183449 1265319018496 2313060765625 4001504141376 6611856250609 10509215371264 16157819263041 24137569000000
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017514: 1000000 85766121 1073741824 6321363049 24794911296 75418890625 192699928576 433626201009 885842380864 1677100110841 2985984000000 5053913144281 8198418170944 12827693806929 19456426971136
(((loop(\(x,i).(((((x div 2) div (2 + 1)) * 2) + x) + 1),x,1) - x) div ((2 + 2) + 1)) * x)
A308926: 0 0 0 0 0 0 0 7 8 18 30 55 84 143 210 315
compr(\x.(loop(\(x,i).(x - (((1 - (x * 2)) div ((2 + 2) + 1)) - 1)),2,x) mod ((2 + 2) + 1)),x)
A080914: 1 6 11 16 19 21 24 29 34 37 39 42 47 52 55 57
((if x <= 0 then 1 else ((((((x + 2) * x) * (2 + 2)) * (x + 1)) div (2 + 1)) - (2 + 1))) + x)
A273790: 1 6 31 80 161 282 451 676 965 1326 1767 2296 2921 3650 4491 5452
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * (2 + 1)) + x))
A017023: 2187 10000000 410338673 4586471424 27512614111 114415582592 373669453125 1028071702528 2488651484819 5455160701056 11047398519097 20971520000000 37725479487783 64847759419264
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * (2 + 1)) + x))
A017059: 279936 62748517 1280000000 10460353203 52523350144 194754273881 587068342272 1522435234375 3521614606208 7446353252589 14645194571776 27136050989627 47829690000000 80798284478113
(((loop(\(x,i).((((x * x) div (2 + 1)) * (x - 1)) div 2),2,(x - 1)) div 2) div (2 + 1)) + x)
A123215: 0 1 2 3 4 13 112
(((((((if ((x div (2 + 2)) - 2) <= 0 then 2 else 1) + x) * (2 + 1)) div 2) div 2) * (2 + 1)) + x)
A096346: 3 7 11 12 16 20 24 25 29 33 37 38 39 43 47 51
compr(\x.(x - ((((if ((x + 2) mod ((2 + 2) * 2)) <= 0 then (x + 2) else 1) * 2) * 2) * (2 + 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A333598: 0 1 2 3 4 5 6 7 8 9 10 11 12 14 22 30
((if x <= 0 then 1 else (1 - (x - ((((((x * 2) * (2 + 1)) - 2) * 2) * 2) * (2 + 1))))) - x)
A114646: 1 47 117 187 257 327 397 467 537 607 677 747 817 887 957 1027
((loop(\(x,i).(x - (((((x - 1) div 2) div 2) - 1) div 2)),2,x) + ((x + 2) div (2 + 1))) + x)
A247421: 2 5 7 9 11 12 14 17 19 21 24 26 28 30 31 33
(((((((loop(\(x,i).(x * 2),x,(0 - 1)) mod (x + 2)) + 1) + x) + x) * 2) div (2 + 1)) + x)
A219611: 1 3 5 9 11 14 14 21
(((if x <= 0 then 1 else ((x * 2) * 2)) - (((x - 2) * 2) div (2 - ((1 - x) div (2 + 1))))) - x)
A105527: 3 4 6 9 11 14 16 19 22 25 27 30 33 36 39 42
((((loop(\(x,i).((i + x) - (x div (((2 + 2) * (2 + 1)) - 1))),x,1) + x) div 2) + 1) + x)
A214050: 1 3 6 9 12 16 20 24 29 34 39 44 49 55 60 66
loop(\(x,i).(x div 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + 1),x)
A209859: 0 1 1 3 1 2 3 7 1 2 2 5 3 6 7 15
((if x <= 0 then 1 else (((((((x + 2) * x) * (2 + 1)) + 2) * x) div 2) * ((x mod 2) + 1))) + x)
A242941: 1 11 28 143
((loop(\(x,i).(x - (((x + 1) mod ((x div (((0 - 2) - 2) - 1)) - 1)) - 1)),2,x) + 1) + x)
A274428: 3 6 9 10 14 15 19 20 21 26 27 28 33 34 35 36
((((((((((if (x - 2) <= 0 then 1 else x) * x) div (2 + 1)) + x) + 1) div 2) div 2) + x) + 1) + x)
A097911: 1 3 5 8
A278586: 1 3 5 8 11 14 17 21 24 28 32 36 40 44 49 53
(loop(\(x,i).((((x mod (((x div (2 + 2)) + (x div (2 + 1))) + 1)) mod 2) + x) + 2),x,1) - x)
A288217: 1 2 4 5 7 9 10 11 13 14 15 16 18 19 21 23
compr(\x.(2 - ((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) - 1) mod (x + 1))),x)
A089970: 3 7 8 10 12 14 15 16 17 18 20 21 22 24 25 26
((((if x <= 0 then 1 else ((((x div 2) div (2 + 1)) + x) * (2 + 1))) * (2 + 1)) div (x + 1)) + x)
A065347: 3 5 8 9 11 12 15 16 17 18 19 20 21 22 23 24
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) * 2) * (x + 1)) + x))
A017263: 2097152 410338673 8031810176 64339296875 319277809664 1174711139837 3521614606208 9095120158391 20971520000000 44231334895529 86812553324672 160578147647843 282621973446656 476837158203125 775771085481344 1222791080775407
loop(\(x,i).((((2 + 2) * 2) * (x + 1)) * ((2 + 2) + 1)),2,(((2 + 2) * (x + 1)) + x))
A157663: 8040 16040 24040 32040 40040 48040 56040 64040 72040 80040 88040 96040 104040 112040 120040 128040
loop(\(x,i).((((((2 + 1) * 2) + 1) * x) * (((x + 2) * x) + 1)) + 1),1,((x + 1) * x))
A022523: 1 127 2059 14197 61741 201811 543607 1273609 2685817 5217031 9487171 16344637 26916709 42664987 65445871 97576081
((((((((((x + 2) + 1) * x) div 2) * (2 + 1)) div 2) + 1) div 2) div 2) + (if x <= 0 then 1 else x))
A231408: 1 2 4 6 9
A062048: 1 2 4 6 9 12 16 20 24 29 34 40 46 52 58 65
((((((x - ((x div ((2 + 2) + 1)) * 2)) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) * 2) + x)
A081605: 0 3 6 9 10 11 12 15 18 19 20 21 24 27 28 29
(((((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) + x) div 2) + (if x <= 0 then 0 else 1)) * 2) - x)
A008342: 0 1 2 1 2 3 2 1 2 3 4 3 4 3 2 1
compr(\x.(((x * x) mod ((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * (2 + 1)) - 1)) mod 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A296242: 0 1 2 3 4 5 6 7 8 9 11 13 20 22 24 31
loop(\(x,i).((((x div 2) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)) * 2) + 1),2,x)
A336467: 1 1 1 1 3 1 1 1 1 3 3 1 7 1 3 1
compr(\x.(((((((x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1)) + 1) div 2) + 1) div 2) + 1) mod 2),x)
A165564: 1 2 3 4 8 9 10 11 12 16 17 18 19 25 26 27
loop(\(x,i).(((x + 1) mod (1 - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2)))) + 1),2,x)
A307610: 1 1 2 1 1 1 2 1 2 1 2 1 3 1 1 2
compr(\x.(if (x mod 2) <= 0 then 2 else (((x - 1) mod (((x div ((x mod (2 + 2)) + 1)) + 2) + 1)) mod 2)),x)
A007665: 1 3 5 7 11 15 19 23 27 31 39 47 55 63 71 79
compr(\x.((if x <= 0 then 1 else ((x + 1) mod ((x div ((((x div 2) + 1) mod (2 + 1)) + 2)) + 1))) mod 2),x)
A269870: 1 2 3 4 5 7 8 11 13 15 16 17 19 21 23 25
compr(\x.(2 - (((((loop(\(x,i).(((x mod 2) * x) + (x div 2)),x,x) + 1) div 2) div 2) + 1) div 2)),x)
A039502: 17 21 23 25 31 33 34 37 41 42 45 46 49 50 55 61
compr(\x.(((if (x mod (((x + 2) mod (2 + 2)) + 1)) <= 0 then 1 else x) div ((x div (2 + 2)) + 1)) mod 2),x)
A144043: 4 5 6 8 10 12 14 18 22 24 26 30 34 36 38 42
((if x <= 0 then 1 else (((((((x div 2) mod 2) + x) div 2) + x) - ((x + 1) div (2 + 1))) * 2)) + x)
A083462: 1 3 6 11
A316317: 1 3 6 11 14 15 20 25 26 29 34 37 40 43 46 51
loop(\(x,i).((((x * 2) + 1) div (2 + 1)) - ((((x - 1) * x) div 2) div ((x + 2) + 1))),2,x)
A254610-A045917: 0 1 1 1 2 1 2 2 2 2 3 3 3 2 3 2
((((2 - (x mod (((if (x mod ((2 + 1) * 2)) <= 0 then 2 else 1) * 2) + 1))) mod (x + 1)) + 2) * x)
A101404: 0 3 4 12 12 10 18 21 16 36 30 22 24 39 28 60
(((((((if (x mod (2 + 1)) <= 0 then 1 else 2) + x) * (2 + 1)) div ((2 + 2) + 1)) + 2) * 2) - x)
A248864: 4 5 6 5 6 7 6 7 8 7 8 7 6 9 8 7
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) + x))
A017215: 16384 62748517 2494357888 27512614111 163840000000 678223072849 2207984167552 6060711605323 14645194571776 32057708828125 64847759419264 122987386542487 221068140740608 379749833583241
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * 2) - x))
A017035: 16384 19487171 612220032 6103515625 34359738368 137231006679 435817657216 1174711139837 2799360000000 6060711605323 12151280273024 22876792454961 40867559636992 69833729609375
(((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 2) + x)
A254734-A073353: 2 4 6 6 10 12 14 10 12 20 22 18 26 28 30 18
loop(\(x,i).(((x div (((((x div 2) - (x div (2 + 1))) + 1) mod (2 + 1)) + 1)) + 2) div 2),2,x)
A114294: 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 5
(((x * x) div ((((if x <= 0 then 1 else (2 - (((x mod 2) - x) div (2 + 1)))) + 2) + 2) + 2)) + x)
A112671: 0 1 2 4 5 7 9 11 13 16 18 21 24 27 29 32
((((if x <= 0 then 2 else (x - (((((x div 2) + x) div (2 + 2)) - (x * 2)) * 2))) * 2) * 2) + x)
A188026: 8 21 42 55 76 97 110 131 144 165 186 199 220 241 254 275
((if (x * x) <= 0 then 0 else (((((2 + 2) * 2) * (x + 1)) + x) * 2)) div (((2 + 2) * 2) + x))
A004220: 0 3 5 6 7 8 8 9 10 10 10 11 11 11 12 12
((x - ((2 - (((((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) - 1) * (x + 2)) div 2)) div 2)) - x)
A131505: 0 ~1 0 2 1 ~1 1 4 2 ~1 2 6 3 ~1 3 8
(((((x + 2) * x) * ((x * x) - 1)) div (2 + 1)) + loop(\(x,i).(((x + 1) * x) div 2),2,x))
A264854: 0 1 14 61 175 400 791 1414 2346 3675 5500 7931 11089 15106 20125 26300
((((x + 1) * 2) - (((1 - loop(\(x,i).(((i + 1) * x) - 1),x,0)) div (x + 2)) mod 2)) + x)
A287399: 2 5 7 10 14 17 20 23 25 29 32 34 37 41 44 47
(((loop(\(x,i).((((2 + 2) + 1) * i) + 2),(x - (((2 + 1) * 2) + 1)),1) + x) * 2) - x)
A083158: 2 3 4 5 6 7 8 9 22 33 44 55 66 77 88 99
((((loop(\(x,i).((x * 2) - (x div (2 + 2))),(2 + 1),x) div ((2 + 2) + 1)) + x) + 2) + x)
A190347: 2 5 8 12 14 17 21 24 26 29 33 36 39 42 45 48
(((((loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,2) div (2 + 1)) div (2 + 1)) + x) div 2) - x)
A178750: 0 0 2 15 84 431 2167 10847 54249 271262 1356331 6781678 33908414 169542094 847710496 4238552509
(((loop(\(x,i).(x - (((0 - (((x div (2 + 2)) mod 2) + x)) * 2) - 1)),x,1) + x) div 2) - x)
A178706: 0 1 6 22 70 215 652 1964 5900 17709 53138 159426 478290 1434883 4304664 12914008
((((loop(\(x,i).(((x div (((x div 2) mod (2 + 1)) + 2)) + x) + 2),2,x) div 2) + x) div 2) - x)
A145006: 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 ~1
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) - ((((x - 2) * x) + 2) * x))
A319930: 0 0 1 0 ~5 ~15 ~30 ~49 ~70 ~90 ~105 ~110 ~99 ~65 0 105
loop(\(x,i).(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * ((0 - x) - 1)),2,((x + 2) * x))
A158743: 1332 5439 12284 21867 34188 49247 67044 87579 110852 136863 165612 197099 231324 268287 307988 350427
(((loop(\(x,i).(((x * x) + 1) * x),1,(((x * x) * x) * (x * x))) * (x * x)) div 2) * x)
A170782: 0 1 131200 193713525 34359771136 1907348828125 50779979174016 814206801837625 9007199263129600 75047317670022921 500000000050000000 2779958656853295181 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) mod (x - (((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) - 1))),x,x)
A335262: 0 1 0 3 0 1 6 1 0 3 10 3 0 1 6 15
(((1 - ((1 - ((((if (x - 2) <= 0 then 0 else 2) * 2) * 2) + x)) div ((2 + 2) + 1))) + x) + x)
A168045: 1 3 6 9 12 14 16 18 20 23 25 27 29 31 34 36
(((if (x - 1) <= 0 then 1 else (x - (((2 + 1) - (((x - 1) * x) div 2)) div (2 + 1)))) + x) + x)
A076523: 1 3 6 9 13 18 22 27 33 38 44 51 57
((((if x <= 0 then 1 else ((x * 2) * 2)) - (2 div ((((2 + 2) * 2) * 2) div (x + 1)))) + x) + x)
A315763: 1 6 12 18 24 29 35 41 46 52 58 64 70 76 82 88
(loop(\(x,i).(x - ((((x + 1) mod (1 - (x mod (1 - ((2 + 2) * 2))))) mod 2) - 1)),2,x) + x)
A240767: 2 3 4 7 8 11 12 16
A284937: 2 3 4 7 8 11 12 16 18 19 20 23 24 28 30 31
(((if x <= 0 then 1 else ((((((x + 1) div 2) div 2) * (x div 2)) div ((2 + 2) + 1)) * 2)) + x) + x)
A241071: 1 2 4 6 8 10 12
A093891: 1 2 4 6 8 10 12 16 18 20 24 28 30 32 36 40
((((loop(\(x,i).(((((x + 1) * x) div 2) + ((x * 2) * 2)) + 1),x,1) div 2) + 2) + x) + x)
A094475: 2 7 29 641
(loop(\(x,i).((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + x),2,x) - x)
A291786: 0 0 0 0 0 1 0 0 0 1 0 3 0 2 1 0
((1 - (loop(\(x,i).(x * 2),x,1) mod (1 - (((1 - x) * x) mod ((2 + 2) + 1))))) + (x * x))
A157421: 1 2 5 11 17 26 37 50 67 82 101 122 145 171 197 226
loop(\(x,i).((((2 - x) mod ((x mod ((x div ((2 + 2) + 1)) + 2)) + 2)) * 2) - 1),2,(x * x))
A262809: 1 1 1 1 1 1 1 3 1 1 1 13 13 1 1 1
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - (((x * x) * (x * x)) * (x * x)))
A024133: 1 10 57 602 10545 145426 1724905 19369522 214096737 2357416250 25936424601 285309899050 3138425390737 34522707317122 379749826053705 4177248158025026
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024147: 1 11 16 ~459 4352 170707 2706048 35008265 427884544 5154997383 61907364224 742988883517 8916064616448 106993142630555 1283918359135360 15407021403726993
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024121: 1 9 ~28 ~1187 ~6384 21875 720064 9176457 97902848 995217031 9990000000 99980512829 999964168192 9999937251483 99999894586496 999999829140625
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024082: 1 6 ~79 ~1844 ~13983 ~61318 ~162287 0 3667649 35570638 272475249 1957839572 13805455393 96826261890 678117659345 4747390650568
(((((loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + (2 + 2)),x,1) mod 2) + 1) + x) + x) + x)
A189362: 2 5 8 10 14 17 19 22 26 29 31 34 37 40 43 46
((loop(\(x,i).(((((x * x) * x) + 1) * x) * x),1,((x * x) * x)) div 2) * ((x * x) * x))
A170791: 0 1 131328 193720086 34359869440 1907349609375 50779983373056 814206819132028 9007199321849856 75047317842209805 500000000500000000 2779958657925089586 4611686018427387903 4611686018427387903
((x div ((((x * 2) + 1) mod (((x * 2) mod (((x + 1) div (2 + 1)) + 1)) + 1)) + 1)) + 1)
A345993: 1 2 3 4 5 3 7 8 9 5 11 4 13 7 3 16
((x div ((x mod ((x mod ((((((x - 1) * x) div 2) + 1) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A237109: 1 1 1 4 5 1 7 8 3 5 11 4 13 7 5 16
((x mod ((x mod ((x div ((((x + 1) mod ((x div (2 + 2)) + 1)) * 2) + 1)) + 1)) + 1)) + 1)
A066262-A065331: 1 2 3 4 1 6 1 8 9 2 1 12 1 2 3 16
((x div ((((x + 2) * x) mod ((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + 1)) + 1)) + 1)
A073890: 1 2 3 2 5 3 7 4 3 10 11 4 13 14 5 4
((x div ((x mod ((x mod ((x div ((((x div 2) * x) mod (2 + 1)) + 2)) + 1)) + 1)) + 1)) + 1)
A284260: 1 2 3 2 5 3 7 2 3 2 11 3 13 2 5 2
((x div ((x mod ((x mod ((x div (((1 - (x div 2)) mod (2 + 2)) + 2)) + 1)) + 1)) + 1)) + 1)
A072505: 1 2 3 2 5 3 7 4 3 5 11 2 13 7 5 4
((x div ((x mod (((((x div (2 + 1)) * 2) + 1) mod ((x div (2 + 2)) + 1)) + 1)) + 1)) + 1)
A276035: 1 2 3 4 5 3 7 4 3 5 11 6 13 7 15 4
((x div ((x mod (((1 - ((x - ((x * x) div (2 + 2))) div 2)) mod (2 + 1)) + 1)) + 1)) + 1)
A086571: 1 1 3 2 5 2 7 4 3 5 11 4 13 7 15 8
((x div ((x mod (((x mod (((x mod (2 + 2)) + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1)) + 1)
A327076: 1 2 3 2 5 3 7 2 9 5 11 3 13 7 5 2
(((x + 1) mod ((x div (((x mod (((x mod (2 + 1)) + 1) * (2 + 1))) * 2) + 1)) + 1)) + 1)
A258820: 1 1 1 1 1 1 1 3 1 1 2 1 1 5 2 1
((x mod ((x mod ((x div ((((x mod ((0 - 2) - 2)) + 1) mod (x + 1)) + 2)) + 1)) + 1)) + 1)
A285328: 1 1 1 2 1 1 1 4 3 1 1 6 1 1 1 8
((((x + 1) * 2) div ((((((x * x) mod (((x + 2) + 2) + 1)) div 2) mod 2) + 1) + 1)) - 1)
A265675: 0 1 2 3 2 5 3 7 8 5 6 11 12 8 9 15
((1 - x) mod (((x - 1) mod ((((x * 2) + 1) mod ((((2 + 2) * 2) * 2) + 1)) + 1)) + 1))
A335664: 1 0 1 1 1 1 1 1 0 1 1 2 1 0 0 1
((x mod (((2 + 2) * 2) + 1)) div (((x * 2) mod ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1))
A127318: 0 1 1 1 1 1 1 1 1 0 1 1 3 2 1 2
((((x + 2) * x) div ((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)) + 1)
A225004: 1 4 9 16 25 18 49 64 81 50 121 48 169 98 75 256
((((((2 - (x mod 2)) * 2) + 1) * ((x div 2) + 1)) mod ((x div ((2 + 2) + 1)) + 1)) + 1)
A102523: 1 1 1 1 1 2 1 1 2 2 1 1 3 1 2 1
((x mod (((x * x) mod (((((x mod (2 + 2)) * 2) + 1) * ((x div 2) mod 2)) + 1)) + 1)) + 1)
A073356: 1 1 3 2 1 1 1 2 1 1 1 2 1 1 5 2
((((x div 2) + 1) div 2) div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1))
A292376: 0 0 1 0 1 0 2 0 0 0 3 0 3 0 1 0
((x div ((((((x div 2) - ((x + 1) mod (2 + 2))) mod (2 + 1)) + 1) * (2 + 1)) + 1)) + 1)
A256915: 1 1 1 1 1 2 2 2 3 1 2 2 2 2 3 3
(((x + 2) mod (((((((x * 2) div ((x div 2) + 2)) + x) div 2) + 1) mod (2 + 1)) + 1)) + 1)
A318288: 1 1 2 1 1 2 3 1 1 2 1 2 3 1 1 2
(((1 - x) mod (((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) * (2 + 1)) + 1)) + 1)
A181196-A121395-A008326: 1 1 1 1 1 1 1 2 1 1 1 5 4 1 1 1
(((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod ((x div (2 + 1)) + 1)) + 1)
A071201: 1 1 1 1 2 1 1 2 2 1 1 3 5 3 1 1
((x mod (((((x + 1) mod ((x div (((x mod 2) + 2) + 2)) + 1)) - 1) mod (x + 1)) + 1)) + 1)
A195989: 1 2 3 4 1 6 1 8 9 10 1 12 1 2 3 16
(((x + 1) mod (((((2 mod ((x div (2 + 2)) + 1)) * 2) * (2 + 1)) mod (x + 1)) + 1)) + 1)
A171412: 1 1 1 1 1 1 1 1 2 2 2 1 1 2 3 4
(((((((2 + 2) + 1) * (x + 1)) + 1) * (x + 1)) * (((2 + 2) * (x + 1)) + 1)) + 1)
A228220: 31 199 625 1429 2731 4651 7309 10825 15319 20911 27721 35869 45475 56659 69541 84241
(((x + 1) div (((((x + 1) mod ((x div (((x mod 2) + 2) + 1)) + 1)) + 1) * 2) + 1)) + 1)
A286565: 1 1 2 2 2 3 2 3 4 3 2 5 2 3 6 6
((x div ((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1)) + 1)
A078701: 1 1 3 1 5 3 7 1 3 5 11 3 13 7 3 1
(((x + 1) div ((((x div ((((1 - x) * 2) mod ((2 + 2) + 1)) + 2)) + 1) * 2) + 1)) + 1)
A280521: 1 1 2 1 2 2 1 2 2 3 2 1 2 2 3 2
(2 div ((x mod ((((x mod ((x div (((x mod 2) * (2 + 1)) + 2)) + 2)) + 1) * 2) + 1)) + 1))
A051699: 2 1 0 0 1 0 1 0 1 2 1 0 1 0 1 2
((((x + 1) * 2) - ((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1))) + 1)
A270198: 3 5 6 9 10 11 14 17 18 19 20 23 26 27 30 33
((x mod ((x mod (((((x div ((2 + 2) + 1)) + 1) * 2) mod ((x div 2) + 1)) + 2)) + 1)) + 1)
A057112: 1 2 1 2 1 3 1 2 3 2 1 2 3 2 1 2
((x mod ((x mod ((((((x mod 2) * (2 + 1)) + 2) * 2) mod ((x div 2) + 1)) + 2)) + 1)) + 1)
A138222: 1 2 1 2 1 3 1 4 3 2 1 6 1 2 3 4
((x * 2) div ((x div (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1)) + 1))
A157458: 0 1 1 1 2 1 1 3 3 1 1 3 4 3 1 1
(((x div ((2 + 2) + 1)) + 1) div (((x div 2) div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1))
A327169: 1 1 0 1 0 1 0 2 0 0 0 1 0 0 0 2
(((((((x + 2) * x) + 2) * (x + 1)) * ((x * 2) + 1)) * (((x + 1) * 2) + 1)) - 1)
A226803: 5 149 1049
((x div ((x mod ((2 - (((x - 1) mod (((x + 2) div (2 + 1)) + 1)) div 2)) + 2)) + 1)) + 1)
A171530: 1 1 1 1 5 3 7 4 3 5 11 3 13 7 5 16
((((1 - x) * 2) mod ((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * 2) + 1)) + 1)
A306245-A305962-A290759-A275043-A243631-A227061-A144150-A124560-A124530-A070914: 1 1 1 1 1 1 1 1 2 1 1 1 3 5 1 1
((x + 2) div (((x + 1) div ((x div ((x mod ((((x mod 2) * 2) + 1) * 2)) + 2)) + 1)) + 1))
A291326-A291325: 1 1 2 1 3 1 4 3 5 1 6 1 7 5 8 3
((x div ((x div ((x div (((((x * x) div 2) mod ((x div 2) + 2)) div 2) + 2)) + 2)) + 1)) + 1)
A107325: 1 2 2 2 3 3 4 3 3 4 6 4 7 5 4 4
(2 div ((((x * 2) + 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1)) + 1))
A221645: 1 2 0 2 0 0 2 0 0 1 2 0 0 0 0 2
(((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A318423-A318091-A317815-A301608-A176809-A122632: 1 1 1 1 2 1 1 2 2 1 1 3 2 3 1 1
(x - (((x + 1) mod ((((((x * x) * (2 + 2)) mod ((x div 2) + 2)) div 2) * 2) + 1)) - 1))
A305211: 1 2 3 4 5 6 5 8 5 10 11 12 13 10 15 16
((x * x) mod (((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (((2 + 2) * 2) + 1)) + 1))
A316347: 0 1 4 9 6 5 6 9 4 1 0 21 44 69 96 25
(((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A063265: 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 6
(((x + 2) * (2 + 1)) - (((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1))
A182084: 5 8 10 14 15 20 20 24 25 32 30 38 35 40 40 50
(2 div (((x - ((x div (1 - (((x div (2 + 2)) + 2) + 2))) - 1)) mod ((2 + 2) + 1)) + 1))
A257399: 1 0 0 2 1 0 0 2 1 0 0 2 2 0 0 0
(((((x - (x div ((1 - ((2 + 2) * 2)) * 2))) * 2) * (2 + 1)) div ((2 + 2) + 1)) + 1)
A173153: 1 3 4 5 7 8 9 10 11 13 14 15 16 17 19 21
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A070710: 0 1 12 12 28 28 28 1 17 28 17 12 17 28 12 17
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1))
A070722: 0 1 5 14 25 20 29 17 2 32 18 35 22 26 3 34
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) - 1))
A070720: 0 1 11 3 4 8 33 19 5 9 10 2 12 13 14 24
(((((x * 2) + 1) * 2) - ((x div (2 + 1)) - (((1 - x) * 2) div ((2 + 2) + 1)))) + 1)
A226723: 3 7 10 13 16 20 23 26 30 32 36 40 42 46 49 52
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) + 1)
A157103-A135966-A132044-A054106-A034254: 1 1 1 1 1 1 1 2 2 1 1 3 5 3 1 1
((((((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) + x) div 2) + (x div ((2 + 2) + 1))) + 1)
A260734: 1 2 2 4 4 5 5 7 7 7 8 10 9 10 10 13
(((((2 + 2) * (x - 1)) div (((x div 2) + 2) + 2)) mod 2) * ((x div ((2 + 2) + 1)) + 1))
A300717: 1 0 0 1 0 0 0 2 2 0 0 0 0 0 0 4
((((x div ((((x mod ((2 + 2) + 1)) * 2) + (x mod (2 + 1))) + 1)) + 1) div (2 + 1)) + 1)
A107249: 1 1 1 1 1 1 2 1 1 1 3 2 2 1 1 6
(((((2 - ((1 - x) div ((x div (2 + 2)) + 2))) * ((2 + 2) + 1)) + 1) div (2 + 1)) + 1)
A111657: 4 4 6 6 6 8 8 8 8 8 9 9 9 9 9 9
(((x div ((2 + 2) * 2)) + 1) div (((((2 - x) mod ((2 + 2) + 1)) + 1) mod (2 + 1)) + 1))
A029410: 1 0 0 0 0 1 0 0 0 1 2 0 1 0 1 2
((((((x * 2) mod (((2 + 1) * 2) + 1)) + 1) mod ((x div (2 + 1)) + 1)) mod (2 + 1)) + 1)
A325614: 1 1 1 2 1 1 1 2 1 2 1 3 2 2 2 1
((((x + 1) div 2) + 1) mod ((((((2 + 1) * 2) mod ((x div 2) + 1)) + 1) mod (2 + 1)) + 1))
A230263: 1 0 0 1 1 0 0 0 2 0 0 1 1 0 0 1
(((1 - ((x + 1) mod ((x div (((x div 2) mod ((x mod 2) + 2)) + 2)) + 1))) mod (2 + 1)) - 1)
A286135: 0 0 0 0 1 0 ~1 0 ~1 1 0 0 0 0 0 ~1
((((x + 1) div 2) div 2) mod (((x - ((((x mod 2) - x) - 1) div (2 + 1))) mod (2 + 1)) + 1))
A137678: 0 0 0 1 0 1 0 0 2 0 2 0 0 0 1 1
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1))
A070718: 0 1 17 4 30 18 31 34 29 16 10 11 9 32 23 35
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A070716: 0 1 23 17 4 5 6 28 22 9 10 11 33 27 14 15
((((2 - (((x div ((0 - 2) - 1)) mod (2 + 1)) mod 2)) + (x mod (2 + 1))) mod (2 + 1)) + 1)
A026181: 3 1 2 3 3 1 2 1 2 3 1 2 3 3 1 2
((((((x * 2) * (x + 1)) * ((2 + 2) + 1)) * (((x + 1) * x) + 1)) div (2 + 1)) + 1)
A107731: 1 21 141 521 1401 3101 6021 10641 17521 27301 40701 58521 81641 111021 147701 192801
((((((1 - (((x mod 2) - x) div ((2 + 2) + 1))) mod 2) + 1) * (x + 1)) mod (2 + 1)) - 1)
A054354: 1 0 ~1 0 1 ~1 1 0 ~1 1 0 ~1 0 1 ~1 0
((((0 - (((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)
A103284: 1 1 1 1 1 2 1 2 2 3 1 3 3 4 5 1
(((2 + 2) * 2) div (((((((2 - (x mod 2)) * 2) * 2) * 2) div (x + 1)) * (2 + 1)) + 1))
A229232: 0 0 0 1 0 2 1 2 2 8
((((((x div (2 + 2)) div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1) * 2) div (2 + 1)) + 1)
A093873: 1 1 1 1 2 1 2 1 3 2 3 1 3 2 3 1
((((((x + 1) mod ((x div ((2 - ((x div 2) mod 2)) + 2)) + 1)) + 1) * 2) div (2 + 1)) + 1)
A272907: 1 1 1 1 2 1 2 3 1 2 3 1 2 3 1 4
(((((x + 2) div (((((2 + 2) * 2) - (x div 2)) * (2 + 1)) - 1)) * 2) div (2 + 1)) + 1)
A339546: 1 1 1 1 1 1 1 1 1 1 1 1 2 3 6 6
(((1 - ((x mod (((((2 + 2) * 2) * (2 + 1)) mod (x + 1)) + 1)) div 2)) mod (2 + 1)) - 1)
A335877: 0 0 0 0 1 0 ~1 0 0 1 0 0 0 ~1 1 0
((((x mod (((x * 2) div (((x * 2) div ((2 + 2) + 1)) + 2)) + 1)) + 2) div (2 + 1)) + 1)
A234305-A173642: 1 2 2 1 2 2 2 2 1 2 2 2 2 2 3 2
(((((((x * x) + 2) * ((2 + 2) + 1)) div (((2 + 1) * 2) + 1)) * 2) div (2 + 1)) + 1)
A076095: 1 2 3 5 9 13 19 25 32 40 49 59 70 82 95 109
(((((((((x - 1) div (2 + 1)) * ((x div 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A029108: 1 1 1 1 1 1 2 3 3 3 4 4 5 6 7 7
((((((x - (((x + 2) div (1 - ((2 + 2) * 2))) * 2)) * 2) + 1) * 2) div (2 + 1)) - 1)
A215798: 2 3 5 6 7 9 13 14 15 17 18 19 21 25 26 27
((((((((x + 2) * 2) * 2) + x) * (((x + 2) * x) + (2 + 1))) div 2) div (2 + 1)) - 1)
A037236: 3 12 32 68 125 208 322 472 663 900 1188 1532 1937 2408 2950 3568
(((((((x div ((((x div (2 + 2)) mod 2) + 2) + 2)) + x) * 2) + 1) * 2) div (2 + 1)) + 1)
A035242: 1 3 4 5 7 9 11 12 15 16 17 19 20 21 23 25
((((((((((x * x) div (2 + 1)) + (x div 2)) div 2) + x) div 2) + 1) * 2) div (2 + 1)) + 1)
A280271: 1 1 2 3 3 5 5 7 8 9 11 12 14 16 18 20
(((((2 - x) mod (1 - ((((2 - x) div 2) div ((2 + 2) + 1)) * 2))) + 2) div (2 + 1)) + 1)
A230866: 1 1 1 2 2 1 2 2 1 2 2 1 2 3 2 2
(((((x div (2 + 1)) + 1) div ((x mod (2 - (x mod ((0 - 2) - 2)))) + 2)) mod (2 + 1)) - 1)
A212212: ~1 ~1 ~1 0 0 0 ~1 0 0 ~1 0 0 1 0 0 ~1
((((((((x * 2) + 1) mod (x - ((x + 1) mod (2 + 2)))) div 2) * 2) * 2) div (2 + 1)) + 1)
A140207-A104763: 1 1 1 1 1 2 1 1 2 3 1 1 2 3 5 1
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1))
A070727: 0 1 34 25 28 11 4 9 12 14 45 31 42 39 24 40
(x mod (((((x - (((x mod 2) - x) div (2 + 1))) + ((x div 2) mod 2)) * 2) div (2 + 1)) - 1))
A242753: 0 0 0 1 1 2 1 2 2 2 1 2 3 3 2 2
((((x - (x div ((((0 - 2) - 2) * (2 + 1)) - 1))) + 2) + ((2 + 2) * (2 + 1))) - 1)
A043702-A043657: 13 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30
((((((2 + 2) * (x + 1)) - 1) * 2) * ((x + 2) + 1)) div (((2 + 2) * (2 + 1)) + 1))
A058759: 1 4 8 13
A056738: 1 4 8 13 20 28 37 47 59 72 86 101 117 135 154 174
(((((((((x + 2) * x) + 2) * 2) * 2) + x) * 2) - 1) div (((2 + 2) * (2 + 1)) - 1))
A194147: 1 3 7 12 19 27 37 48 61 75 90 107 125 145 166 189
((((((x * 2) div (((x div (2 + 2)) + 2) + 2)) + 1) * ((x mod 2) + 2)) div (2 + 1)) + 1)
A338719: 1 2 2 3 2 4 3 4 3 5 3 5 3 5 4 6
(((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x + 2) * (x + 2)) * (2 + 1))) + 1)
A026054: 13 28 50 80 119 168 228 300 385 484 598 728 875 1040 1224 1428
(((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) + (x mod 2)) div (2 + 1)) + 1)
A220614-A154221: 1 1 1 1 2 1 1 3 3 1 1 5 5 5 1 1
(((((((((x div (2 + 2)) * (x div 2)) div 2) * 2) + x) div (2 + 1)) + x) mod (2 + 1)) + 1)
A277745: 1 2 3 2 1 2 3 2 2 3 2 1 2 3 2 3
(((2 + 2) + 1) mod (((((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) * x) div (2 + 1)) + 1))
A058190: 0 0 0 1 0 0 0 2 2 0 0 1 0 0 0 5
((((((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) * 2) + x) * (2 + 1)) + 1)
A069212: 1 4 7 10 13 22 25 28 31 40 43 52 55 64 73 76
(((((((x - (x div ((2 + 2) * (0 - 2)))) * (2 + 1)) div 2) * 2) + x) div (2 + 1)) + 1)
A225647: 1 3 4 6 7
A188024-A187953: 1 3 4 6 7 8 9 11 12 14 16 17 19 20 21 22
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) * ((((x + 2) * x) * (2 + 1)) + 1))
A222716: 0 10 100 460 1460 3710 8120 15960 28920 49170 79420 122980 183820 266630 376880 520880
((compr(\x.((((1 - (x * 2)) div (((2 + 2) * 2) + 1)) mod 2) - (x mod 2)),x) mod (2 + 1)) + 1)
A332604: 1 2 1 3 1 2 3 1 3 2 1 2 3 1 2 1
((((((x - 1) div 2) mod (((x mod (2 + 2)) * 2) + 1)) mod 2) + 1) mod ((x div (2 + 1)) + 1))
A107450: 0 0 0 0 1 1 1 2 1 2 1 2 1 1 2 1
((((x * x) mod (((((x + 1) div 2) div 2) + 2) + 2)) mod (2 + 1)) mod ((x div (2 + 1)) + 1))
A054078: 0 0 0 1 1 0 1 1 1 0 1 2 1 1 0 1
((((x - (x div ((((x mod 2) + 2) * 2) * 2))) mod 2) - (x mod 2)) mod ((x div (2 + 1)) + 1))
A035590: 0 0 0 0 0 0 0 0 1 0 1 0 1 4 1 5
(2 div (((((2 - x) div ((x div ((2 + 2) + 1)) + 2)) mod 2) + 1) * ((x mod (2 + 1)) + 1)))
A259896: 1 1 0 1 0 0 2 1 0 1 1 0 1 0 0 1
((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * (((2 + 2) + 1) mod ((x div 2) + 1))) + 1)
A089759: 1 1 1 1 1 1 1 2 1 1 1 6 6 1 1 1
(((((((((x * 2) + 1) * x) * 2) + 1) * (x + 1)) + 1) * (((x + 1) * x) + 1)) - 1)
A094201: 1 44 447 2248 7685 20676 47299 96272 179433 312220 514151 809304 1226797 1801268 2573355 3590176
(x mod ((((x mod ((x mod ((((x mod (2 + 2)) + 1) * 2) + 1)) + 1)) + 1) mod (x + 1)) + 1))
A319650: 0 0 0 0 0 1 0 0 0 3 2 3 0 1 0 0
((((x mod ((((x + 1) mod (2 + 2)) * (((2 + 2) * 2) + 1)) - 1)) + 1) mod (x + 1)) + 1)
A265991: 1 1 1 2 1 1 1 2 2 1 1 2 6 1 1 2
(((((((x + 1) * x) * ((x + 2) + 1)) * (((x + 2) + 2) + 1)) + 1) * (x + 1)) + 1)
A212838: 2 99 634 2309 6306 14407 29114 53769 92674 151211 235962 354829 517154 733839 1017466 1382417
((((((((x * 2) + 1) mod (((2 + 1) * 2) + 1)) * 2) mod (2 + 1)) + 1) mod (x + 1)) + 1)
A278102: 1 2 3 2 3 4 2 4 2 3 2 3 4 2 4 2
(compr(\x.(2 - ((x + 1) mod ((((x mod (((x mod 2) + 2) * 2)) + 2) * 2) + 1))),(x + 1)) - 1)
A071807: 1 2 4 5 7 8 9 10 11 13 14 15 16 18 21 22
((((x mod (((((x * x) div (2 + 2)) mod ((x + 2) + 2)) + 2) * 2)) + 1) mod (x + 1)) + 1)
A255811: 1 1 1 1 1 1 1 3 1 1 1 5 2 1 1 1
(compr(\x.(1 - (x mod (((((1 - x) * x) div ((2 + 2) * 2)) mod (2 + 1)) + 2))),(x + 1)) - 1)
A067319: 1 2 3 4 5 6 8 10 12
A328208: 1 2 3 4 5 6 8 10 12 13 14 16 18 21 22 24
((((((1 - (x * x)) * (x div (2 + 2))) div 2) mod (2 + 1)) + ((2 + 2) * (x + 1))) - 1)
A189364: 3 7 11 15 20 23 27 31 35 40 43 47 52 55 60 63
(((((x div 2) div ((x mod ((((x - 2) * (2 + 1)) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1)
A000374: 1 1 2 1 2 2 3 1 3 2 2 2 2 3 5 1
((((x div ((x div (((x div (((x div 2) div (2 + 1)) + 2)) * 2) + 1)) + 1)) + 1) div 2) + 1)
A179844: 1 1 2 2 3 2 3 3 3 3 4 4 4 4 3 4
(((((x div 2) div ((x div ((((2 - ((x div 2) mod 2)) + 2) * 2) + 1)) + 1)) + 1) div 2) + 1)
A332334: 1 1 2 2 2 2 3 2 3 2 2 2 3 3 2 2
(x div (((((x + 1) div ((x mod ((((x + 1) mod (2 + 2)) * 2) - 1)) + 1)) + 1) div 2) + 1))
A194606: 0 0 1 1 1 2 2 1 1 1 1 1 1 2 4 1
((((((2 - (x div ((x mod (0 - 2)) - 2))) + x) mod ((x div (2 + 1)) + 1)) + 1) div 2) + 1)
A274534: 1 1 1 1 1 2 2 1 2 2 2 2 1 1 3 3
((((x div 2) mod ((x mod (((((2 + 1) * 2) + 1) mod ((x div 2) + 1)) + 1)) + 1)) * 2) + 1)
A324910: 1 1 1 3 1 1 1 7 3 1 1 3 1 1 1 15
(((((x + 1) mod ((((((x mod 2) + 1) * 2) * 2) mod ((x div 2) + 1)) + 1)) + 1) div 2) + 1)
A288003: 1 1 1 1 2 1 1 1 3 2 2 1 3 1 1 1
((((x mod (((((x * x) mod (x - ((2 - x) div 2))) mod (2 + 1)) * 2) + 1)) + 1) div 2) + 1)
A341348: 1 1 1 1 2 2 1 1 1 1 1 1 2 3 2 1
((((((((x + 2) * x) + 1) * ((2 + 2) + 1)) div (((2 + 1) * 2) + 1)) + 1) div 2) + 1)
A025711: 1 2 4 7 10 14 19 24 30 37 44 52 61 71 81 92
((((x mod (((x div ((((x + 2) mod ((x mod 2) + 2)) + 2) * 2)) * 2) + 1)) + 1) div 2) + 1)
A199711-A181322-A180562-A004070: 1 1 1 1 2 1 1 2 3 1 1 2 4 4 1 1
((x mod (((x mod (((x - ((x * x) div (2 + 2))) mod ((2 + 2) * 2)) + 1)) + 1) * 2)) + 1)
A083259-A083258: 1 2 1 4 1 6 1 8 1 2 1 12 1 2 3 16
((x + 1) div (((((((x + 2) * x) + (2 + 2)) mod (((2 + 2) * 2) + 1)) + 1) * 2) + 1))
A049783: 0 0 0 0 1 0 0 0 1 0 0 1 2 2 1 0
(((x - 1) div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + 1)
A318322-A122810: 0 1 1 2 1 2 1 3 2 2 1 3 1 2 2 3
(((((((x + 2) * x) mod ((((x div (2 + 1)) + 2) * 2) + 1)) mod (2 + 1)) + 1) * 2) + 1)
A242033: 3 3 3 5 3 3 3 3 7 3 5 3 3 3 3 3
((((((((x * x) - 1) * x) div 2) div (2 + 1)) mod (((x + 1) div (2 + 1)) + 1)) div 2) + 1)
A176166: 1 1 1 1 1 2 2 2 1 1 1 1 1 3 3 2
((((((((x * x) * x) div ((((2 + 2) * 2) + x) + 1)) + 2) div (2 + 1)) + 1) div 2) + 1)
A034143: 1 1 1 2 2 3 4 5 6 8 10 12 15 18 21 25
((((((x + 2) * (x + 1)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) div 2) + 1)
A018048: 1 1 1 1 2 2 2 3 4 4 5 6 8 9 11 13
(((((((x * 2) + 1) * x) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) div 2) + 1)
A240671: 1 1 1 1 2 2 3 4 5 6 8 9 12 15 18 22
(((((((x + 2) + 2) * x) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) div 2) + 1)
A030699: 1 1 1 1 2 2 3 3 4 4 5 7 8 10 12 14
(x mod (x - (((x * 2) div ((x div (((((x + 2) * x) div 2) mod (2 + 1)) + 1)) + 2)) - 1)))
A238951: 0 0 0 1 0 2 0 1 1 2 0 3 0 2 2 2
((((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) * ((x div (2 + 1)) + 1)) div 2) + 1)
A096921: 1 1 1 1 1 2 1 1 2 3 1 1 3 3 6 1
(((((((x * 2) div (((x * x) mod (((x mod 2) + 2) * 2)) + 1)) + 1) div 2) + 1) div 2) + 1)
A338295: 1 2 2 2 3 3 4 3 5 2 6 4 7 5 8 3
((x mod (((x mod (((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * 2)) + 1) * 2)) + 1)
A218621-A079891: 1 2 1 4 1 2 1 8 3 2 1 4 1 2 3 16
((((((((((x div 2) + x) + 1) * (x + 1)) div ((2 + 2) + 1)) + 1) div 2) + 1) div 2) + 1)
A290807-A029016: 1 1 2 2 3 4 5 6 7 8 10 11 14 15 18 20
((((x div 2) div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) * 2) + 1)
A204455-A161398: 1 1 3 1 5 3 7 1 3 5 11 3 13 7 15 1
((((x div (((x div ((((x + 2) mod ((2 + 1) * 2)) + 1) * 2)) + 1) * 2)) + 1) div 2) + 1)
A194848: 1 1 2 2 1 2 2 3 3 3 1 2 2 3 3 3
(((((((((x div ((x mod (2 + 2)) + 1)) - 2) mod (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1)
A291191: 1 1 1 2 2 1 1 2 2 2 1 1 3 2 2 1
((((((((((x mod ((0 - 2) - 2)) - 2) * 2) mod (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1)
A344117: 1 1 1 2 1 2 2 2 2 1 2 2 2 2 2 3
(((((x + 2) * x) - (((x mod (((x div ((2 + 2) * 2)) + 2) + 1)) div 2) - 1)) div 2) + 1)
A074133: 1 3 5 9 13 18 25 33 41 51 61 72 85 99 113 128
((((x - 1) mod ((((((2 - (x div 2)) * x) div (2 + 1)) mod (2 + 1)) * 2) + 1)) div 2) + 1)
A168508: 1 1 1 2 1 1 2 1 1 1 3 1 1 1 1 3
((((((x + 2) * 2) + x) * (((2 + 1) * x) + 2)) div ((((2 + 1) * 2) + 1) * 2)) + 1)
A083462: 1 3 6 11
A194142: 1 3 6 11 17 24 32 42 53 65 78 93 109 126 145 165
((x + 1) div ((((((x div (2 + 1)) mod 2) + 1) + (x div (((2 + 1) * 2) + 1))) * 2) + 1))
A036541: 0 0 1 0 1 1 2 1 1 1 1 1 2 2 2 1
((((x div ((((((x mod 2) * 2) + 1) * ((2 + 2) + 1)) mod (x + 1)) + 2)) + 1) div 2) + 1)
A000174: 1 1 1 1 2 2 1 1 2 2 2 2 2 3 2 1
(((((((x mod (((1 - x) div ((2 + 2) + 1)) - 1)) * 2) mod (x + 1)) div 2) + 1) div 2) + 1)
A097306: 1 1 1 2 1 2 1 2 3 1 3 4 1 3 4 5
(((((((((x div (2 - (x mod 2))) div (2 + 1)) + 1) * 2) mod (x + 1)) div 2) + 1) div 2) + 1)
A218469: 1 1 2 1 2 2 2 3 2 3 2 3 3 4 3 4
((((((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) mod (x + 1)) div 2) + 1) div 2) + 1)
A256911: 1 1 1 1 2 2 1 2 2 2 1 2 2 2 3 1
(((x mod ((x div ((((((x div 2) * x) mod ((2 + 2) + 1)) + 1) mod 2) + 2)) + 1)) div 2) + 1)
A279408: 1 1 1 1 1 1 2 2 2 3 2 2 2 4 4 2
(((x - (x div ((((((2 - x) * (x div 2)) div ((2 + 2) * 2)) div 2) div 2) - 1))) div 2) + 1)
A136746-A003003: 1 2 3 3 4 5 5 6 7 8 8 8 9 9 10 10
(((x mod ((((((x + 1) mod ((2 + 2) + 1)) * x) div ((2 + 2) * 2)) * 2) - 1)) * 2) + 1)
A333758: 1 1 1 1 1 1 1 3 3 1 1 5 11 5 1 1
((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) + 1)
A327481-A143086: 1 1 1 1 3 1 1 3 3 1 1 3 7 3 1 1
(((((x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2)) * 2) + 1) * 2) + 1)
A095100: 3 7 11 15 23 27 31 35 39 47 55 59 63 71 75 79
(((((x div (2 + 1)) + 1) mod ((x mod ((x mod (((x mod 2) + 2) * 2)) + 2)) + 1)) div 2) + 1)
A175024: 1 1 1 2 1 2 1 1 1 3 1 3 1 1 2 1
((((x + 2) + 2) - (((((x + 1) div 2) div (2 + 1)) * (((2 + 2) * 2) + 1)) div 2)) + 1)
A114547: 5 6 7 8 9 6 7 8 9 10 11 7 8 9 10 11
(((((x mod ((((((2 + 2) * 2) * 2) mod (x + 1)) * 2) + 1)) mod (2 + 2)) + 1) div 2) + 1)
A082064: 1 1 2 1 2 2 2 1 1 2 2 2 2 3 2 1
(((x mod 2) + 1) div ((((((x div 2) + x) * ((x mod 2) + 1)) mod ((2 + 2) + 1)) div 2) + 1))
A287267: 1 1 0 1 1 0 0 2 0 2 1 1 0 1 1 0
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 + 2) + 1)) div 2) + 1)
A106255: 1 1 1 1 3 1 1 3 3 1 1 3 6 3 1 1
((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2) * 2) div ((2 + 2) + 1)) * 2) + 1)
A218452: 1 1 1 1 1 1 1 1 1 1 1 3 5 7 9 9
((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div (2 + 2)) + 1) div 2) + 1)
A322057: 1 1 1 1 2 1 1 2 2 1 1 2 3 3 1 1
(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) * (((x mod (2 + 2)) + 1) div 2)) + 1)
A125644: 1 1 1 1 1 2 1 1 1 3 2 3 1 2 1 1
(((x div (((((x * x) * x) mod (((2 + 2) * (2 + 1)) - 1)) + 1) * (2 + 1))) * 2) + 1)
A145176: 1 1 1 1 1 1 1 1 1 1 1 7 5 1 1 1
(((((((2 + 2) * (x + 1)) - 1) * ((x div ((2 + 2) + 1)) + 1)) div (2 + 1)) * 2) + 1)
A179739: 3 5 7 11 13 31 37
(((((1 - x) mod ((((2 + 2) * (x - 1)) mod ((x div 2) + 1)) + 1)) * (2 + 1)) div 2) + 1)
A101489: 1 1 1 1 1 1 1 1 2 2 1 1 2 4 4 1
(((x mod ((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1) * (2 + 1))) div 2) + 1)
A007862: 1 1 2 1 1 3 1 1 2 2 1 3 1 1 3 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 2) + 1)
A309555: 3 3 3 3 4 3 3 5 5 3 3 6 7 6 3 3
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1)
A130154: 1 1 1 1 3 1 1 5 5 1 1 7 9 7 1 1
((((x - (((x - (((x div (2 + 2)) mod 2) - 1)) div (2 + 1)) * 2)) div (2 + 1)) * 2) + 1)
A240833: 1 1 1 1 1 3 1 3 1 3 3 3 3 3 5 3
((((x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2)) * (2 + 1)) div 2) + 1)
A191535-A100598: 1 2 4 5 8 10
A026174-A026170-A026138: 1 2 4 5 8 10 11 13 14 17 20 22 23 26 28 29
(((((((((((x * x) div (2 + 2)) - 1) div 2) div 2) + x) + 2) * 2) div (2 + 1)) + 2) + 1)
A154660: 3 4 5 6 7 8
A114035: 3 4 5 6 7 8 9 10 11 13 15 16 17 19 21 23
(x - (((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)) - 1))
A113474: 1 2 2 4 4 5 5 8 8 9 9 11 11 12 12 16
(x - ((((((x + 1) div ((2 + 2) * (0 - 2))) * 2) * 2) * 2) * (((2 + 1) * 2) + 1)))
A133898: 56 57 58 59 60 61 62 63 120 121 122 123 124 125 126 127
((((((((2 + 2) * 2) * 2) * (x + 1)) * (2 + 1)) + x) * 2) * (((2 + 1) * 2) + 1))
A157363: 672 1358 2044 2730 3416 4102 4788 5474 6160 6846 7532 8218 8904 9590 10276 10962
((((((((2 + 2) + 1) * x) + 1) * 2) * ((2 + 2) + 1)) - x) * (((2 + 1) * 2) + 1))
A157369: 70 413 756 1099 1442 1785 2128 2471 2814 3157 3500 3843 4186 4529 4872 5215
(((((2 + 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1))) + (x div (((2 + 1) * 2) + 1)))
A292656: 5 10 15 20 25 30 36 42 47 52 57 62 68 73 79 84
(((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) + x) + (x div (((2 + 1) * 2) + 1)))
A157465: 0 1 2 3 4 5 6 8 9 10 11 12 14 16 19 21
((x div (((x mod (((2 + 1) * 2) + 1)) + 2) * (2 + 1))) + (x mod (((2 + 1) * 2) + 1)))
A190596: 0 1 2 3 4 5 6 1 1 2 3 4 5 6 2 2
(((((((((x * x) + (x div 2)) div (2 + 1)) + x) div (2 + 1)) + x) * (2 + 1)) div 2) + 1)
A324476: 1 2 5 8 11 14 19 23 28 32 38
A070214: 1 2 5 8 11 14 19 23 28 32 38 43 49 55
(((((x div (((((2 + 2) * 2) mod ((x div 2) + 1)) + 2) + 2)) + x) * (2 + 1)) div 2) + 1)
A282429: 1 2 4 5 7 8 11 13 14 16 17 19 22 23 26 28
(((((((x mod ((x mod 2) + 2)) + 1) * (x div (2 + 2))) div 2) + (x mod (2 + 1))) div 2) + 1)
A296977: 1 1 2 1 1 2 1 2 2 1 2 3 1 3 2 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) + 1)
A327913-A248601-A196922-A196863-A173075-A171699-A167172-A166293-A130671-A114197-A108350-A104881-A104878-A101515-A094526-A094525-A088699-A086617-A053534-A028657: 1 1 1 1 2 1 1 3 3 1 1 4 7 4 1 1
((((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod ((x + 2) + 1)) div 2) + 1)
A146770: 1 1 1 1 4 1 1 5 5 1 1 7 8 7 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) + 1)
A300260-A297020-A295205-A202756-A156354-A125806-A114202-A026692: 1 1 1 1 2 1 1 3 3 1 1 4 8 4 1 1
((((((((x * x) div (1 - (((x mod 2) - x) div (2 + 1)))) + x) div 2) + x) + 1) div 2) + 1)
A325367: 1 2 3 4 5 7 9 10 11 13 14 15 17 19 20 22
(((((((((x * x) - 1) * (x + 2)) mod ((2 + 2) + 1)) * 2) + 1) mod (x + 1)) div 2) + 1)
A306333: 1 1 2 1 1 1 1 3 1 1 4 1 3 1 1 4
(((((x div (((x div 2) + 2) + 2)) + ((((x + 1) div 2) div 2) div 2)) * (x + 1)) div 2) + 1)
A058365: 1 1 1 1 1 1 1 9 10 11 12 13 14 15 16 25
(((((x - ((x * 2) div (1 - ((2 + 2) * 2)))) * 2) * 2) + 1) div (((x + 1) div 2) + 1))
A231407: 1 4 6
A110000: 1 4 6 5 8 7 8 7
(((((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) div 2) + 1)
A336736-A328855-A327658-A327012-A322453-A319786-A295879-A000688: 1 1 1 2 1 1 1 3 2 1 1 2 1 1 1 5
(((x mod (2 - (x mod (0 - (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2))))) div 2) + 1)
A270000: 1 1 1 2 1 1 1 1 2 3 1 3 1 2 1 1
(((x - (((((x - 1) div ((2 + 2) + 1)) + 1) * ((x div (2 + 1)) + 1)) div 2)) div 2) + 1)
A137734: 1 1 2 2 2 3 2 3 3 3 4 3 3 4 4 4
((((((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) + 1) div 2) * 2) + 1)
A072219: 1 1 3 1 3 3 3 1 3 3 5 3 3 3 3 1
(((((((((x div (((2 + 2) * (2 + 1)) - 1)) + x) * 2) + 1) * 2) + 1) * 2) * 2) - 1)
A044072: 11 27 43 59 75 91 107 123 139 155 171 203 219 235 251 267
((((((((((((x + 2) * 2) div (2 + 1)) + 1) * x) div 2) + 1) div 2) + 1) div 2) div 2) + 1)
A029051: 1 1 1 2 2 2 3 4 4 5 7 7 8 10 11 12
(((((x div (2 - ((2 - ((((2 + 2) * 2) * 2) mod (x + 1))) div 2))) + 1) div 2) div 2) + 1)
A246028: 1 1 1 2 1 1 2 3 1 1 1 2 2 2 3 5
((((((x + 1) div (((((x * x) + 1) div ((x div 2) + 2)) mod 2) + 2)) + 1) div 2) * 2) + 1)
A070864: 1 1 3 3 3 5 3 5 5 5 7 5 7 5 7 7
((x div (((((((x + 2) * x) div (2 + 2)) + x) mod (((2 + 2) * 2) + 1)) + 2) * 2)) + 1)
A030422: 1 1 1 1 1 1 2 1 2 1 1 2 4 1 1 1
(((((((x * x) div (((2 + 2) * (x + 1)) + 1)) + x) * ((2 + 2) + 1)) div 2) div 2) + 1)
A235933: 1 2 3 4 6 8 9 11 12 13 16 17 18 19 22 23
((((((2 div (((x + 2) mod (((2 + 2) + 1) * 2)) + 1)) + 1) * (2 + 1)) div 2) * 2) - 1)
A336698: 1 1 1 1 1 1 1 1 7 5 1 1 1 1 1 1
(((((((((((x mod 2) + x) + 1) div (2 + 1)) * 2) + x) + 1) * (2 + 1)) div 2) * 2) - 1)
A230462: 1 11 13 17 19 29 31 41 43 47 49 59 61 71 73 77
(((((((x div (2 - (x div (((2 - x) div (2 + 2)) - 1)))) + x) * 2) + 1) * 2) * 2) + 1)
A107996: 5 13 21 29 45 53 61 69 77 85 93 109 117 125 133 149
(((((((((x * x) * x) div ((((2 + 2) * 2) * 2) * 2)) + x) div 2) + 1) div 2) div 2) + 1)
A118301: 1 1 1 1 2 2 2 3 4 5 6 7 9 11 13 16
((x div ((((((((2 + 2) * 2) + 1) * (x div (2 + 2))) + 1) mod (x + 1)) + 2) + 2)) + 1)
A320748-A320747-A305749: 1 1 1 1 2 1 1 2 2 1 1 2 3 4 1 1
((((((((x * x) div (2 + 2)) mod ((x * 2) + 1)) * (2 + 1)) mod (x + 1)) div 2) div 2) + 1)
A175685: 1 1 1 1 1 1 2 2 1 1 1 3 2 1 1 3
((x div ((((((((x + 1) * x) mod ((2 + 2) + 1)) - 1) * 2) mod (x + 1)) + 2) * 2)) + 1)
A339788-A276696-A238453-A220777-A209805-A209612-A172479-A172453-A088855-A034851: 1 1 1 1 1 1 1 2 2 1 1 2 4 2 1 1
((((((x mod (2 - (x - (x mod (((2 + 2) + 1) * 2))))) * 2) mod (x + 1)) div 2) div 2) + 1)
A110030: 1 1 1 1 1 1 1 1 1 1 3 1 2 3 3 4
(((((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod (x + 1)) div 2) * 2) + 1)
A131404: 1 1 1 1 5 1 1 7 7 1 1 11 13 11 1 1
(((x mod ((((((((x div 2) div (2 + 1)) + x) div 2) + 2) * 2) mod (x + 1)) + 2)) div 2) + 1)
A275471: 1 1 1 2 3 1 1 1 2 2 1 3 3 1 1 2
((((x div ((x mod (((x div 2) mod 2) + 2)) + 2)) + 1) mod 2) * ((((x + 1) div 2) div 2) + 1))
A050186: 1 1 1 0 2 0 0 3 3 0 0 4 4 4 0 0
((x * 2) div (((((2 + 1) * x) + 1) div (1 - (x div ((x mod ((0 - 2) - 2)) - 2)))) + 1))
A230507: 0 0 1 1 1 1 1 2 2 1 2 3 4 2 3 3
((((((((((x + 1) * x) div 2) * ((2 + 2) + 1)) div (2 + 1)) + 1) div 2) * 2) * 2) + 1)
A316357: 1 5 13 21 33 53 73 93 121 153 185 221 261 305 353 401
(2 div (((x + 1) * 2) mod ((((((x + 1) mod (((2 + 1) * 2) + 1)) mod 2) + 2) * 2) + 1)))
A308400-A025886: 1 0 0 0 0 1 0 1 0 0 1 0 2 0 1 1
(((((((((x * 2) + 1) div ((2 + 2) + 1)) + 1) * ((x div 2) + 1)) div 2) div 2) div 2) + 1)
A029095: 1 1 1 1 1 2 2 3 3 3 4 4 6 6 7 8
(((((x div 2) div (2 + 1)) - (((((x div ((2 + 2) * 2)) + x) + 1) div 2) mod 2)) + 2) - 1)
A025829: 1 0 0 1 1 0 1 2 1 1 2 2 2 2 3 3
(x mod ((((((((((x mod (2 + 1)) + 2) * 2) * 2) * 2) mod (x + 1)) div 2) div 2) * 2) + 1))
A306605: 0 0 0 0 1 0 0 0 2 0 0 1 0 3 0 0
((x div (2 - (((2 - (((((x + 1) div 2) div 2) div 2) * ((x + 1) div 2))) div 2) div 2))) + 1)
A099053: 1 1 2 2 3 3 4 3 3 4 4 4 5 4 4 3
((((((((x div (2 + 2)) - (((x mod 2) * 2) - 1)) * (x + 1)) div 2) div 2) div 2) div 2) + 1)
A029207: 1 0 1 0 1 1 1 1 2 1 3 1 4 2 4 3
(((((x - (((1 - (x * 2)) div (((x div (2 + 2)) + 2) + 2)) - 2)) * 2) * 2) * 2) + 1)
A138393: 17 33 41 57 65 73 89 97 105 113 129 137 145 153 161 177
((((x + 1) div 2) div 2) - (((1 - (x div ((((2 - (x div 2)) div 2) div 2) - 2))) div 2) - 1))
A025833: 1 0 0 1 1 0 1 1 1 1 1 2 2 1 2 3
(((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * ((x mod ((2 + 2) * 2)) + 2)) + 1)
A323483: 1 1 1 1 1 1 1 1 1 1 1 1 7 15 25 37
(((x + 1) div (((((x - (x div ((2 + 2) * 2))) mod 2) + (x div (2 + 2))) div 2) + 2)) + 1)
A264982: 1 2 2 3 3 3 4 3 4 4 4 5 4 5 4 6
(((2 - ((x div 2) mod 2)) * 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A163259: 0 0 0 0 1 0 0 0 1 0 0 2 4 1 0 0
(((((((x div 2) - ((2 - x) div ((x div 2) + 2))) div 2) + x) + 2) + ((2 + 2) * 2)) + 1)
A127957: 10 12 13 15 16 17 19 20 21 23 24 25 27 28 29 30
(((((((x div 2) div (2 + 1)) + x) * (2 + 2)) div (2 + 1)) + 1) * (((2 + 2) * 2) + 1))
A195085: 9 18 27 45 54 63 90 99 117 126 135 153 171 189 198 207
((0 - (((x * 2) - ((x * x) div (2 + 2))) div ((2 + 2) + 1))) * (((2 + 2) * 2) + 1))
A112440: 0 0 0 0 0 0 0 0 0 9 9 18 27 36 45 54
(((((((2 + 2) * 2) + x) * (x + 2)) + 1) * ((x + 2) + 1)) * (((2 + 2) * 2) + 1))
A224456: 459 1008 1845 3024 4599 6624 9153 12240 15939 20304 25389 31248 37935 45504 54009 63504
(((1 - (((x div (2 + 1)) mod 2) * 2)) * (((2 + 1) * x) + 1)) mod (((2 + 2) * 2) + 1))
A154687: 1 4 7 8 5 2 1 4 7 8 5 2 1 4 7 8
(((((((x + 2) * 2) * 2) - 1) * (((x + 2) * x) + 1)) + 2) div (((2 + 2) * 2) + 1))
A238340: 1 5 15 34 64 108 169 249 351 478 632 816 1033 1285 1575 1906
((((((x * x) mod (((2 + 1) * 2) + 1)) * (2 + 1)) + x) + 2) div (((2 + 2) * 2) + 1))
A079951: 0 0 1 1 1 2 1 1 1 2 2 2 2 2 1 2
(x - ((x * x) div (((x + 1) * 2) - (1 - (((x - 1) * x) mod (((2 + 2) * 2) + 1))))))
A189705: 0 1 2 3 3 4 4 5 5 5 6 7 8 8 8 9
((((((compr(\x.(x mod (((((x mod 2) * 2) * 2) * 2) + 1)),x) + 1) * x) div 2) div 2) div 2) + 1)
A126256: 1 1 2 3 5 7 9 12 16 20 24 29 35 41 48 53
(2 div ((((x mod (1 - (x mod ((x div ((x mod (0 - 2)) - 2)) - 1)))) + 1) mod (2 + 2)) + 1))
A260675: 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 2
(((x div (((2 + 1) * 2) + 1)) + 1) div (((((x * x) + 2) div (2 + 1)) mod (2 + 2)) + 1))
A029422: 1 0 0 0 0 0 1 1 0 0 0 1 2 1 1 0
((((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2) + 1) div (((x + 1) mod (2 + 2)) + 1))
A112344: 0 0 0 1 0 0 0 2 1 0 0 2 1 0 0 4
((((1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (2 + 1)) + 1) mod ((2 + 2) + 1))
A265421: 1 0 1 0 0 1 0 0 0 1 0 0 0 4 1 0
(((((((((x + 1) * x) + 1) * 2) * 2) + 1) * ((x * 2) + 1)) + 1) div ((2 + 2) + 1))
A299260: 1 8 29 74 153 275 450 687 996 1387 1869 2452 3145 3958 4901 5983
((x div (2 + 1)) mod (((((2 + 2) * (x + 1)) * ((x div 2) + 1)) - 1) mod ((2 + 2) + 1)))
A038570: 0 0 0 0 1 0 0 0 2 3 0 1 1 0 0 0
(((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) + 1) * ((2 + 2) + 1)))
A070725: 0 1 38 27 4 5 36 43 17 9 10 11 18 22 14 0
(x - ((((1 - ((2 + 2) * 2)) * ((x div (2 + 1)) + 1)) * (2 + 1)) div ((2 + 2) + 1)))
A327301: 5 6 7 12 13 14 19 20 21 26 27 28 33 34 35 41
(((((x div ((2 + 2) * 2)) + ((x + 1) * (2 + 1))) * 2) * (2 + 1)) div ((2 + 2) + 1))
A189460: 3 7 10 14 18 21 25 28 33 37 40 44 48 51 55 58
(((((x div ((2 + 2) * (2 + 1))) + ((x + 1) * 2)) * 2) * (2 + 1)) div ((2 + 2) + 1))
A189939: 2 4 7 9 12 14 16 19 21 24 26 28 32 34 37 39
((((((((x div ((2 + 2) + 1)) + x) + 1) * 2) * 2) * 2) * (2 + 1)) * ((2 + 2) + 1))
A232743: 120 240 360 480 600 840 960 1080 1200 1320 1560 1680 1800 1920 2040 2280
(((((((2 + 2) * (x + 1)) * (2 + 1)) - (x mod (2 + 1))) - 1) * 2) div ((2 + 2) + 1))
A206814: 4 8 13 18 23 27 33 37 42 47 52 56 62 66 70 76
(((((x - (((x * 2) - 1) div (((2 + 1) * 2) + 1))) * 2) + 1) * 2) div ((2 + 2) + 1))
A194820: 1 1 2 2 2 3 4 5 5 6 6 6 7 8 9 9
((x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A064266: 9 20 1 12 23 4 15 26 7 18 29 10 21 2 13 24
(((((((2 + 2) * 2) * (x + 1)) + x) * (((2 + 1) * x) + 1)) div 2) * ((2 + 2) + 1))
A304508: 20 170 455 875 1430 2120 2945 3905 5000 6230 7595 9095 10730 12500 14405 16445
((((((((((x + 1) div 2) div 2) div 2) + x) + 1) + 2) * (x + 1)) - 2) mod ((2 + 2) + 1))
A106693: 1 1 3 2 3 1 1 1 1 3 2 3 1 1 3 3
((((1 - ((((x + 1) * x) mod ((2 + 2) * 2)) * 2)) mod (x + 1)) + 2) div ((2 + 2) + 1))
A035467: 0 0 0 0 1 0 1 0 0 1 0 1 1 1 2 0
(((((((x + 2) * x) mod (((2 + 2) * (2 + 1)) - 1)) + 1) + 2) + 2) div ((2 + 2) + 1))
A080028: 1 1 2 1 1 1 1 2 1 1 3 1 1 2 1 1
((1 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * 2)) mod ((2 + 2) + 1))
A046569: 1 1 1 1 4 1 1 4 4 1 1 4 2 4 1 1
(((((((((2 + 1) * x) + 2) * 2) * 2) * ((2 + 2) + 1)) + x) * 2) div ((2 + 2) + 1))
A316562: 16 40 64 89 113 138 162 186 211 235 260 284 308 333 357 382
(((((((x div 2) - ((x div (2 + 2)) mod 2)) + 1) * 2) div (2 + 1)) + x) + ((2 + 2) + 1))
A201512: 5 6 8 9 10 11 13 14 16 17 19 20 21 22 23 24
((((((((((x * x) + 2) * x) div (2 + 1)) + x) * 2) * x) + 1) * x) div ((2 + 2) + 1))
A069038: 0 1 10 51 180 501 1182 2471 4712 8361 14002 22363 34332 50973 73542 103503
((((((x div (2 + 1)) + 1) mod (2 + 1)) + (x div (2 + 1))) div 2) * (x div ((2 + 2) + 1)))
A282894: 0 0 0 0 0 1 1 1 1 2 4 4 6 6 6 6
((((((x - ((((x div 2) div ((2 + 2) + 1)) * x) - 1)) div 2) div 2) + x) mod (2 + 2)) + 1)
A129968: 1 2 3 1 2 3 4 2 3 4 3 4 1 2 3 4
(((((((x div ((2 + 2) * 2)) + x) * ((((2 + 1) * 2) + 1) * 2)) + x) div 2) div 2) + 1)
A190714: 1 4 8 12 16 19 23 27 34 38 42 45 49 53 57 60
((((x - (((x * x) * x) div (1 - (((((2 + 2) * 2) * 2) * 2) + x)))) div 2) div 2) + 1)
A332577: 1 1 1 2 2 3 4 5 6 8 9 11 14 16 19 23
(((((x + 2) * (x + 2)) * (x + 1)) * (((x + 2) * x) + 1)) * (((x + 2) + 2) + 1))
A109116: 20 432 3024 12800 40500 105840 241472 497664 947700 1694000 2874960 4672512 7320404 11113200 16416000 23674880
((((x - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) * (2 + 1)) + ((x + 2) * 2)) + 1)
A188043: 5 10 15 17 22 27 29 34 39 44 46 51 56 58 63 68
((((((x * 2) - (x mod ((2 - (x mod 2)) * 2))) * 2) div (2 + 1)) + ((x * 2) * 2)) + 1)
A313914: 1 5 10 16 22 27 31 37 43 48 53 59 65 69 74 80
((((((((2 + 1) * 2) mod ((x div 2) + 1)) + 1) div (2 + 1)) + 1) * ((x div 2) mod 2)) + 1)
A050603: 1 1 2 2 1 1 3 3 1 1 2 2 1 1 4 4
(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x mod ((x mod 2) + 2)) + 1))
A173402: 0 0 0 0 1 0 0 2 1 0 0 3 2 2 0 0
(((((x - (((x div 2) mod ((2 + 2) + 1)) - 1)) div 2) div 2) + 1) div (((x mod 2) * 2) + 1))
A029224: 1 0 1 0 1 0 2 0 2 0 3 1 4 1 4 1
(x - ((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) * (((x mod 2) * 2) - 1)))
A227361: 0 0 3 1 5 3 8 4 9 7 12 8 14 10 17 11
((((x + 1) mod ((((x * 2) * 2) mod (2 - ((x div 2) div (0 - 2)))) + 1)) + 1) mod (2 + 1))
A144435: 1 1 1 1 2 1 1 1 1 1 1 0 2 0 1 1
((x - ((x mod (x - (2 - (((x + 2) * 2) mod (((2 + 1) * 2) + 1))))) - 1)) mod (2 + 1))
A137865: 1 1 0 1 1 1 1 1 1 0 1 1 2 2 1 1
(((((((x mod 2) + x) div ((2 + 2) + 1)) + x) + ((x + 1) div (2 + 1))) + 1) mod (2 + 1))
A108803: 1 2 1 2 0 0 1 2 1 0 1 0 1 2 1 0
((((x mod (((x mod 2) - 2) * 2)) + 1) * ((((x div (2 + 1)) + 1) div 2) + 1)) mod (2 + 1))
A039973: 1 0 2 0 2 0 1 0 2 0 0 0 0 0 0 0
(((((x + 1) mod (((((x div 2) - (x mod (2 + 1))) div 2) * 2) + 1)) * 2) + 1) mod (2 + 1))
A261769: 1 1 1 1 1 1 0 2 1 1 0 1 1 0 1 2
((1 - (x mod (((((((x + 2) * x) + 1) div (2 + 1)) mod (2 + 1)) * 2) + 1))) mod (2 + 1))
A317240: 1 0 1 1 0 1 1 1 1 1 0 1 2 1 1 1
(((((((x * x) div (2 + 2)) + ((x + 2) * 2)) * ((x div 2) + 1)) div 2) + 1) div (2 + 1))
A294085: 1 1 3 4 8 10 17 20 30 35 49 56 75 84 108 120
((((x - ((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2)) * 2) + 1) div (2 + 1))
A279521: 0 1 1 2 3 3 3 4 5 6 7 7 7 7 7 8
((((x - ((((((x * x) div 2) div (2 + 1)) mod (x + 1)) div 2) div 2)) * 2) + 1) div (2 + 1))
A014202: 0 1 1 2 3 3 3 5 5 6 6 6 7 9 9 9
((((((x + 2) * (x + 1)) div 2) * (((x div 2) mod 2) + 2)) div ((2 + 2) + 1)) mod (2 + 1))
A130068: 0 1 0 0 0 2 1 0 0 1 0 1 0 0 0 0
(((x * 2) * (2 + 1)) - ((((x - ((2 - (x div 2)) div (x + 2))) * 2) + 1) div (2 + 1)))
A314127: 1 5 11 16 21 27 31 37 42 47 53 58 63 69 74 79
((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + (2 + 1))
A300737-A249433-A072668: 3 5 7 8 9 11 13 14 15 17 19 20 21 23 24 25
((2 - (((((x div ((0 - 2) - 1)) - (x + 1)) * (x + 1)) div 2) div (2 + 1))) mod (2 + 1))
A169676: 0 0 1 0 2 1 1 2 2 0 0 1 0 2 1 1
(((((((x - ((x div (0 - 2)) * (2 + 1))) * 2) + 1) * 2) * 2) * (2 + 1)) * (2 + 1))
A237128: 36 324 396 684 756 1044 1116 1404 1476 1764 1836 2124 2196 2484 2556 2844
(1 - ((((x - (((((2 + 2) * 2) * 2) * 2) div (x + 1))) * (x + 2)) + 1) mod (2 + 1)))
A167683: 1 0 ~1 1 0 0 ~1 0 1 0 0 0 1 0 0 1
(((((((2 + 2) * (x + 1)) + x) * ((x * 2) + 1)) - 1) * ((x * 2) + 1)) div (2 + 1))
A100161: 1 26 115 308 645 1166 1911 2920 4233 5890 7931 10396 13325 16758 20735 25296
(((((x div (2 + 2)) + 1) - (x mod (((2 + 2) + 1) * 2))) * ((x * 2) + 1)) mod (2 + 1))
A248107: 1 0 1 1 0 0 2 0 2 0 0 1 2 0 0 2
((((((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2) * 2) + x) + 1) div (2 + 1))
A277267: 0 0 1 1 1 2 3 3 3 3 3 4 5 6 7 7
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((((x + 2) * x) + 1) * (2 + 1)))
A051939: 3 13 31 58 95 143 203 276 363 465 583 718 871 1043 1235 1448
(((x - (((((((x - 1) div 2) div 2) - 2) * x) div (2 + 1)) - 1)) * (x + 1)) mod (2 + 1))
A098489: 1 0 0 0 1 0 0 1 0 1 1 0 1 2 0 2
(((((((((x + 2) * 2) + x) * (x + 1)) div 2) * (x + 1)) + 1) * (x + 1)) div (2 + 1))
A213834: 1 10 46 140 335 686 1260 2136 3405 5170 7546 10660 14651 19670 25880 33456
((((((((x div 2) * (x div 2)) div 2) + (x div (2 + 1))) * 2) + 1) * (x + 1)) mod (2 + 1))
A112605: 1 2 0 0 2 0 1 2 0 2 2 0 0 0 0 2
(compr(\x.(1 - (x mod (((((x div 2) mod ((2 + 2) + 1)) + 2) + 2) + 1))),(x + 1)) div (2 + 1))
A076872: 0 1 1 1 2 2 2 3 4 5 5 6 7 7 7 8
(((1 - ((x - (x div ((2 + 2) * (2 + 1)))) mod ((2 + 2) + 1))) * (x + 1)) mod (2 + 1))
A219485: 1 0 0 1 0 0 0 1 0 0 2 0 0 1 0 0
((((((((x + 1) * 2) * ((2 + 2) + 1)) + x) * x) + (2 + 1)) * (x + 1)) div (2 + 1))
A100186: 1 16 67 176 365 656 1071 1632 2361 3280 4411 5776 7397 9296 11495 14016
(((((((((2 + 2) * 2) * 2) * (x + 1)) + x) * x) + (2 + 1)) * (x + 1)) div (2 + 1))
A100155: 1 24 103 272 565 1016 1659 2528 3657 5080 6831 8944 11453 14392 17795 21696
((((((((2 + 2) * 2) * ((x * 2) + 1)) - 1) * (x + 1)) + 2) * (x + 1)) div (2 + 1))
A213845: 3 32 119 296 595 1048 1687 2544 3651 5040 6743 8792 11219 14056 17335 21088
(((((((x + 2) + 1) * (x + 2)) * (((2 + 2) * 2) * 2)) * 2) * (x + 1)) div (2 + 1))
A141478: 64 256 640 1280 2240 3584 5376 7680 10560 14080 18304 23296 29120 35840 43520 52224
((((x - (((x + 1) * 2) div (((2 + 1) * 2) + 1))) * 2) * 2) + ((x + 1) * (2 + 1)))
A188396: 3 10 17 20 27 34 37 44 51 58 61 68 75 78 85 92
((((((2 - ((x div 2) mod 2)) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1) div 2) mod (2 + 1))
A168141: 1 2 2 2 1 2 1 1 0 1 1 2 1 1 0 1
(((((((((x div ((2 + 2) * 2)) + x) * 2) + 1) * 2) div (2 + 1)) + 1) * 2) * (2 + 1))
A236864: 6 18 24 30 42 48 54 66 78 90 96 102 114 120 126 138
(((((((x * 2) + 1) mod (((((x div 2) + 1) div 2) * 2) + 1)) div 2) + 1) * 2) div (2 + 1))
A035392: 0 0 1 0 0 1 1 0 1 2 0 1 2 2 1 2
((((x + 1) div ((x mod ((x div (((x mod 2) * (2 + 1)) + 2)) + 2)) + 1)) + 2) div (2 + 1))
A132066: 1 1 1 1 2 1 1 2 1 4 1 1 1 3 1 6
(1 - ((((((x div (2 + 2)) + x) div 2) + (x div (((2 + 2) * 2) + 1))) * 2) mod (2 + 1)))
A257196: 1 1 ~1 ~1 0 1 1 ~1 0 1 ~1 ~1 0 1 1 ~1
((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * ((x mod (((2 + 2) + 1) * 2)) * (2 + 1)))
A069958: 0 0 0 0 0 0 0 0 0 0 0 6 18 36 60 90
((((((((x div (2 - ((x mod (2 + 1)) mod 2))) + 2) + x) div 2) div 2) + 1) * 2) div (2 + 1))
A290978: 0 1 1 1 2 2 2 3 2 2 4 3 4 5 4 4
((((((((2 + 2) * 2) + x) + 1) * (((x + 2) + 2) + 2)) + (2 + 1)) * 2) * (2 + 1))
A121205: 342 438 546 666 798 942 1098 1266 1446 1638 1842 2058 2286 2526 2778 3042
(((((((((2 + 2) * 2) + x) * x) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1))
A166814: 0 6 25 66 140 260 441 700 1056 1530 2145 2926 3900 5096 6545 8280
(((((((x div 2) div (((2 + 1) * 2) + 1)) + (x div 2)) + (x * 2)) + 1) * 2) * (2 + 1))
A328586: 6 18 36 48 66 78 96 108 126 138 156 168 186 198 222 234
((((((2 - (x mod (1 - ((2 + 2) * 2)))) * 2) + 1) mod ((x div 2) + 1)) + 2) div (2 + 1))
A024361: 0 0 1 1 1 0 1 1 1 0 1 2 1 0 2 1
(((((((x - ((1 - (x * 2)) * 2)) * x) * (x + 1)) div 2) * (x + 1)) div 2) div (2 + 1))
A185355: 0 1 12 52 150 345 686 1232 2052 3225 4840 6996 9802 13377 17850 23360
((((((((x + 1) * 2) * ((x * 2) + 1)) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A213843: 1 13 62 190 455 931 1708 2892 4605 6985 10186 14378 19747 26495 34840 45016
(((((((((x * 2) * (x + 1)) + 1) * 2) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A213840: 1 11 54 170 415 861 1596 2724 4365 6655 9746 13806 19019 25585 33720 43656
(((((((x * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1) - (((x + 1) div 2) div (2 + 1)))
A143091: 1 1 2 3 3 4 5 5 6 8 8 8 9 9 11 12
(((((((((2 + 2) * 2) + x) + 2) * ((x + 2) + 1)) + x) * (x + 1)) div 2) div (2 + 1))
A055831: 5 15 31 54 85 125 175 236 309 395 495 610 741 889 1055 1240
((((((((x - 1) * x) div ((2 + 2) + 1)) + 2) * (x - 1)) * (x - 1)) div 2) + (2 + 1))
A094177: 4 3 4 9 21 51
(((((x mod (((x - 1) mod (((x div (2 + 1)) + 2) + 2)) + 1)) + 1) div 2) * 2) mod (2 + 1))
A079693: 0 0 0 0 0 0 0 0 0 2 2 1 0 1 2 1
((((((x + 1) mod ((x div (((x mod (2 + 2)) + 2) * 2)) + 1)) + 1) * 2) * 2) div (2 + 1))
A205565: 1 1 1 1 2 1 1 1 1 1 2 1 2 4 2 1
((((((x * 2) - ((x - ((x div 2) mod (2 + 1))) div (2 + 1))) + 1) * 2) * 2) * (2 + 1))
A055926: 12 36 60 84 108 120 132 156 180 204 228 240 252 276 300 324
(((((((x + 1) mod (((2 + 2) mod ((x div 2) + 1)) + 1)) mod 2) + 1) * 2) * 2) + (2 + 1))
A084503: 7 7 7 7 11 7 7 7 7 7 11 7 11 7 7 11
(((((((x * 2) div (2 + 1)) * 2) + x) mod ((((2 + 1) * 2) + 1) * 2)) * 2) div (2 + 1))
A021411: 0 0 2 4 5 7 0 0 2 4 5 7 0 0 2 4
((((((((x div ((2 + 2) + 1)) + x) + ((2 + 2) * 2)) * 2) + 1) * 2) * 2) div (2 + 1))
A295799: 22 25 28 30 33 38
(((((((((x * x) * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1) * 2) * 2) div (2 + 1))
A275122: 1 1 1 1 1 1 1 1 1 2 1 2 4 4 2 1
(((((((((x div ((2 + 2) * 2)) + x) + 1) div 2) + (x * 2)) + 1) * 2) * 2) div (2 + 1))
A278040: 1 5 8 12 14 18 21 25 29 32 36 38 42 45 49 52
((((x + 1) mod (((((x div ((2 + 2) + 1)) + 1) * 2) mod (x + 1)) + 2)) + 2) div (2 + 1))
A029232: 1 0 1 0 1 0 1 1 1 2 1 2 2 2 3 2
((((((((((x div 2) + 1) div 2) * x) div (2 + 1)) mod 2) * (x + 1)) div 2) + 2) div (2 + 1))
A291900: 0 0 0 1 1 1 0 0 2 0 0 2 0 3 0 0
((((x mod (((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2) + 2)) div 2) + 2) div (2 + 1))
A099302: 0 0 1 1 1 1 1 1 2 0 2 1 2 1 3 0
((((x - ((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2)) + 2) * 2) div (2 + 1))
A078881: 1 2 2 3 4 4 4 5 6 7 8 8 8 8 8 9
((2 + 1) div ((((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 2) * 2) div (2 + 1)))
A200472: 1 1 1 1 0 1 1 3 0 1 1 0 0 0 1 1
((1 - ((((((x div (2 + 1)) * (x - 2)) * (1 - (x div 2))) div 2) div 2) div 2)) div (2 + 1))
A165652: 0 0 0 0 0 0 1 1 2 3 4 5 8 9 12 16
(((((x + 2) * (x + 1)) div 2) * ((((2 + 2) * 2) * 2) + 1)) div ((2 + 2) * (2 + 1)))
A088804: 1 4 8 14 21 29 39 51 63 77 93 110 128 148 170 192
(((((((x * x) * x) div (((((2 + 2) * 2) * 2) * 2) - 1)) + x) div 2) + 2) div (2 + 1))
A237976: 0 0 1 1 1 2 2 3 4 6 7 9 11 14 17 21
(((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) + ((((x + 2) * x) + 2) * 2)) div (2 + 1))
A083462: 1 3 6 11
A025735: 1 3 6 11 17 24 33 43 54 67 81 97 114 132 152 173
((((((x - (((2 - x) * x) * ((2 + 2) + 1))) * x) div (2 + 1)) + x) + 2) div (2 + 1))
A212677: 0 0 1 7 21 46 86 144 223 327 459 622 820 1056 1333 1655
((((((((x - ((1 - x) * (2 + 2))) * 2) * 2) - x) * (x + 1)) * x) div 2) div (2 + 1))
A237618: 0 1 22 82 200 395 686 1092 1632 2325 3190 4246 5512 7007 8750 10760
(x - (((((2 - (x * x)) div 2) * x) div 2) - (((((x * x) - 1) * x) div 2) div (2 + 1))))
A212578: 0 1 4 13 28 55 92 147 216 309 420 561 724 923 1148 1415
(((((((((x + 2) * x) div (2 + 2)) + 1) div ((2 + 2) + 1)) * 2) + x) * 2) - (2 + 1))
A088749: ~3 ~1 1 3 9 11 17 23 29 35 41 47 53 59 69 75
(((((((((x + 2) + 2) * (x + 1)) + 1) * (x + 2)) * 2) + 1) * (x + 2)) div (2 + 1))
A250141: 14 67 204 485 986 1799 3032 4809 7270 10571 14884 20397 27314 35855 46256 58769
(x - ((0 - compr(\x.(1 - (x mod ((((1 - x) * x) mod ((2 + 2) * 2)) + 1))),x)) div (2 + 1)))
A324143: 1 3 6 7 8 10 11 12 14 16 17 19 20 22 24 25
(((((x * x) * x) mod (((((2 + 2) * 2) * 2) + 1) * ((2 + 2) + 1))) + x) mod (2 + 1))
A080884: 0 2 1 0 2 0 1 1 1 1 0 1 1 1 2 0
(((x + 1) * (2 + 1)) - ((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1)))
A287437-A026603: 3 5 7 11 13 18 19 24 26 29 31 36 37 42 44 48
(x - ((x mod (2 + 1)) - ((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1))))
A159958: 0 1 2 4 5 3 8 6 7 10 11 9 14 12 13 15
((((((x * x) * x) mod ((((x mod (2 + 2)) + 2) * (2 + 1)) + 1)) * 2) + x) mod (2 + 1))
A243067: 0 0 0 1 0 0 1 0 1 0 1 2 0 0 1 0
(((((((((((x * x) div 2) div (2 + 1)) - 1) div 2) div 2) div 2) + 1) * 2) + x) + (2 + 1))
A188003: 3 4 5 8 9 10 11 12 15 16 17 20 21 24 25 28
((((((((x div 2) * (2 + 1)) + x) + 2) div ((x div (2 + 2)) + 1)) * 2) + x) mod (2 + 1))
A339839: 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2 0
(((x - ((((((1 - x) * 2) div ((2 + 2) + 1)) - x) * (2 + 1)) div 2)) + x) + (2 + 1))
A189458: 3 7 12 15 20 24 27 32 36 41 44 48 53 56 61 65
(compr(\x.(((x - (((x * 2) + 1) mod ((x div (2 + 2)) + 1))) mod 2) - (x mod 2)),x) mod (2 + 1))
A219762: 0 1 2 0 2 1 2 0 1 2 1 0 2 0 1 0
((((((x * 2) - (x div (1 - ((2 + 2) * 2)))) * 2) div (2 + 1)) + 1) + (x div (2 + 1)))
A138097: 1 3 4 6 8 9 11 13 15 17 18 20 22 23 25 28
((((x + 1) div ((((x * x) div (2 + 2)) div ((x + 2) + 1)) + 2)) + 1) + (x div (2 + 1)))
A152850: 1 2 2 4 4 5 5 5 6 7 7 7 8 8 8 9
(((((2 + 2) * (x + 1)) + x) - (((x + 1) * 2) div ((2 + 2) + 1))) + (x div (2 + 1)))
A184871: 4 9 13 19 23 28 34 38 43 48 53 58 63 68 72 78
((((((2 + 1) * x) + 2) * 2) - (((x + 2) * 2) div ((2 + 2) + 1))) - (x div (2 + 1)))
A184916: 4 9 15 19 25 31 35 41 46 51 57 62 67 72 78 83
(((x - (2 - ((2 - x) div (((x mod ((x mod 2) + 2)) div 2) + 1)))) * 2) * (x div (2 + 1)))
A336104: 0 0 0 0 0 2 0 0 0 0 0 24 0 0 0 0
compr(\x.(x mod (x - ((x - 1) mod ((2 + 2) * 2)))),((((2 + 2) + 1) * 2) - (x mod (2 + 1))))
A113779: 17 9 8 17 9 8 17 9 8 17 9 8 17 9 8 17
((compr(\x.(2 - ((x + 1) mod (((((x * 2) mod (2 + 1)) * 2) * (2 + 1)) + 1))),x) * 2) - 1)
A111225: 1 3 7 9 13 15 19 21 31 33 37 43 45 51 55 57
((((((((2 + 2) + 1) * 2) + (x div ((2 + 2) + 1))) * ((2 + 2) + 1)) + x) * 2) + 1)
A030474: 101 103 105 107 109 121 123 125 127 129 141 143 145 147 149 161
(((((((((((x * 2) + 1) * x) * 2) div (2 + 1)) + 2) * 2) div (2 + 1)) + x) div 2) + 1)
A319159: 1 2 4 7 11 16 22 28 35 44 53 63 74 86
(((((((((((x + 2) * x) div 2) div (2 + 1)) + 2) * x) div 2) div (2 + 1)) + x) div 2) + 1)
A008770: 1 1 2 3 5 6 9 11 15 19 24 29 37 44 53 63
((((compr(\x.((x mod (x - ((x mod (((2 + 2) * 2) + 1)) - 1))) - 1),x) + 1) + x) div 2) + 1)
A169935: 1 2 3 4 5 6 7 8 9 11 12 16 17 22 23 27
((((compr(\x.((((x * x) + (2 + 1)) div ((x div (2 + 1)) + 1)) mod 2),x) + 1) + x) div 2) + 1)
A298746-A121232: 2 3 5 7 10 11 13 14 15 17 18 19 21 22 23 26
((((((((((x * x) div (2 + 2)) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) + x) div 2) + 1)
A001401: 1 1 2 3 5 7 10 13 18 23 30 37 47 57 70 84
((((((x + 2) * 2) - ((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)) + x) * 2) + 1)
A107987: 9 15 21 25 33 39 45 49 55 63 69 75 81 85 91 99
((((((x + 2) * 2) - ((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)) + x) * 2) - 1)
A209623-A176180-A049591: 7 13 19 23 31 37 43 47 53 61 67 73 79 83 89 97
((((((((x * 2) div (2 - ((1 - x) div (2 + 1)))) + x) * (2 + 1)) div 2) + x) div 2) + 1)
A225647: 1 3 4 6 7
A087758: 1 3 4 6 7 8 10 12 13 14 16 17 19 20 21 22
((((((((((((x + 2) * x) div (2 + 2)) + 2) * x) div 2) + 1) div 2) div 2) + x) div 2) + 1)
A008768: 1 1 2 3 5 6 9 12 16 20 26 32 40 48 58 69
(((((((((x * x) * x) div (2 + 2)) div (((2 + 1) * 2) + 1)) + x) div 2) + x) div 2) + 1)
A242216: 1 1 2 3 4 5 7 9 11 14 17 21 25 30 36 42
((((((((((((x + 1) * x) div 2) + 1) * (2 + 1)) div 2) div 2) + x) div 2) + x) div 2) + 1)
A187102: 1 2 3 4 6 7 9 11
A248357: 1 2 3 4 6 7 9 11 13 16 19 21 24 28 31 34
(((((((((2 + 2) * 2) * 2) * 2) * 2) * (((x + 2) + 2) + 1)) - 1) * (x + 2)) + 1)
A250661: 639 1150 1789 2556 3451 4474 5625 6904 8311 9846 11509 13300 15219 17266 19441 21744
(compr(\x.((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) - (x div ((2 + 2) * 2))),(x + 2)) - 1)
A032905-A032871: 1 2 3 4 5 6 7 8 9 16 17 18 24 25 26 27
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((x + 1) * 2) * ((x + 2) + 1)))
A023545: 6 17 34 58 90 131 182 244 318 405 506 622 754 903 1070 1256
((((((((x + 1) * 2) - ((x div 2) div (2 + 1))) * (2 + 1)) div 2) div 2) + (x * 2)) + 1)
A184821: 2 6 9 13 16 20 22 26 29 33 36 40 43 46 50 53
(((((((2 + 2) + 1) * x) + 1) * (x + 1)) * (((x + 2) * x) + 1)) * ((x * 2) + 1))
A109117: 1 144 1485 7168 23625 61776 138229 276480 508113 874000 1425501 2225664 3350425 4889808 6949125 9650176
((((((x - 2) mod (((((x mod 2) + x) div (2 + 1)) + 2) + 1)) mod 2) + 1) - (x mod 2)) - 1)
A112215: 1 ~1 0 0 0 0 0 ~1 1 0 0 ~1 1 ~1 1 0
((((((x + 1) mod (((((x div (2 + 2)) mod 2) * 2) * 2) + 1)) mod 2) + 1) - (x mod 2)) + 1)
A085035: 2 1 2 1 2 2 2 2 2 1 2 1 3 1 2 2
(((((x - (((x div 2) - (((x div (2 + 2)) - 1) div 2)) mod 2)) * 2) + 1) - (x mod 2)) + 1)
A006364: 0 1 6 7 10 11 12 13 18 19 20 21 24 25 30 31
(x mod (((((((((2 - x) mod (2 + 1)) * (x + 1)) div 2) div 2) div 2) + 1) - (x mod 2)) + 1))
A127325: 0 0 0 1 0 0 0 1 0 0 1 0 2 1 0 0
(((x div ((((((((x + 1) div 2) div 2) * (x div 2)) mod 2) + 2) * 2) + 1)) - (x mod 2)) + 1)
A025808: 1 0 1 0 1 1 1 1 2 1 3 1 3 2 3 3
(((x div (((x div 2) div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)) + 2)) + (x mod 2)) + 1)
A337454-A327527-A299701-A289849: 1 2 2 3 2 4 2 4 3 4 2 5 2 4 4 5
((((x div ((x div (((x div 2) mod ((x mod (2 + 2)) + 1)) + 1)) + 2)) + 2) * (x mod 2)) + 1)
A090740: 1 3 1 4 1 3 1 5 1 3 1 4 1 3 1 6
(((x div ((x div (((((x * x) div 2) mod ((x div 2) + 2)) div 2) + 2)) + 2)) + (x mod 2)) + 1)
A080226-A060741: 1 2 2 3 2 3 2 4 3 4 2 4 2 4 4 5
(((x div ((x div (((((x * x) div 2) mod ((x div 2) + 2)) div 2) + 2)) + 2)) - (x mod 2)) + 1)
A132881: 1 0 2 1 2 1 2 2 3 2 2 2 2 2 4 3
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))
A335852: 1 2 1 4 1 2 1 6 2 2 1 4 1 2 1 8
(((x div ((((((x div 2) + x) * x) mod ((2 + 1) * 2)) + 2) * 2)) + 1) div ((x mod 2) + 1))
A025805: 1 0 1 0 2 0 2 0 3 0 3 1 4 1 4 2
((1 - ((((x mod (((2 + 2) * (2 + 1)) + 1)) mod (2 + 1)) mod 2) * 2)) div ((x mod 2) + 1))
A284881: 1 ~1 1 0 ~1 0 1 ~1 1 0 ~1 0 1 0 ~1 0
(((((((((((((x * x) - 1) * x) - 1) * x) * x) div 2) + x) div 2) * x) * x) div 2) + 1)
A229384: 1 1 13 239
(((((((((((x * 2) - 1) * (x div 2)) div 2) mod (2 + 1)) + 1) + x) + x) + x) div 2) + 1)
A218979: 1 3 5 7 8 9 11 12 13 15 17 18 19 21 23 25
(compr(\x.((x mod ((((((2 + 1) * x) * (2 + 1)) + 1) mod ((x div 2) + 1)) + 1)) - 1),x) + 1)
A302594: 1 2 3 4 5 6 8 9 10 11 12 16 17 18 20 22
(compr(\x.(1 - (x mod (((x + 1) mod ((((x - 1) div ((2 + 2) + 1)) * 2) + 1)) + 1))),x) - 1)
A062973: 6 8 9 10 12 14 16 18 20 21 22 24 25 26 27 28
(compr(\x.(((((x - (((x - 1) mod ((x div 2) + 2)) div 2)) div 2) + x) mod (2 + 1)) - 1),x) + 1)
A325031-A093686: 1 2 3 4 6 7 8 9 10 12 14 16 18 19 20 21
(compr(\x.(((((x mod (((2 + 2) + 1) * 2)) mod ((2 + 2) * 2)) + 1) mod (x + 1)) - 1),x) + 1)
A033074: 1 2 3 4 5 6 7 8 9 11 19 21 29 31 39 41
((((x * x) div (((x + 1) * 2) - (1 - ((x + 2) mod (((2 + 1) * 2) + 1))))) + x) + 1)
A026431: 1 2 3 4 6 8 9 10 12 13 14 16 18 20 21 22
(compr(\x.((x + 1) mod (((((x + 1) div ((x mod ((2 + 2) + 1)) + 2)) mod 2) * 2) + 1)),x) + 1)
A342950-A337230-A238985: 1 2 3 4 5 6 7 8 9 12 14 15 16 18 21 24
(((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) div 2) * (((2 + 2) * 2) + 1)) + x) + 1)
A330760: 1 2 3 4 5 6 7 8 9 10 11 21 22 32 33 43
((x * x) mod (((((x mod (((2 + 2) + 1) * 2)) + x) * (((2 + 2) * 2) + 1)) + x) - 1))
A069940: 0 1 4 9 16 25 36 49 64 81 1 3 7 13 21 31
(((((((((x + 2) * x) + 2) * x) div (2 + 2)) + x) div (((2 + 2) * 2) + 1)) + x) + 1)
A320593: 1 2 3 5 8 11 16 21 28 36 46 57 71 86 104 124
((((((((x + 2) * 2) * 2) * (x + 1)) div ((2 + 2) + 1)) div ((2 + 2) + 1)) + x) + 1)
A024193: 1 2 4 7 9 12 15 19 23 27 32 36 42 47 53 59
((((((x div ((2 + 2) * 2)) * (2 + 1)) + ((x + 1) div (2 + 1))) * (2 + 1)) + x) + 1)
A080333: 1 2 6 7 8 12 13 14 27 28 29 33 34 35 39 40
(compr(\x.(1 - ((((((x * x) - 2) * ((x + 1) div 2)) div 2) div (2 + 1)) mod (2 + 1))),x) - 1)
A274374: 0 2 3 4 5 6 7 8 10 11 12 13 15 16 18 21
(((((x - (((x mod (2 - ((x div 2) div (0 - 2)))) div 2) - 1)) * 2) div (2 + 1)) + x) + 1)
A026339: 1 3 4 6 8 9 11 12 15 16 18 20 21 22 24 26
(((((((x div ((2 + 2) * 2)) + x) - (x div ((2 + 2) + 1))) * 2) div (2 + 1)) + x) + 1)
A285140-A066507: 1 2 4 6 7 8 10 12 14 16 17 18 20 22 23 24
((((((((((2 + 2) * 2) * (x + 1)) - x) * x) * (x + 1)) div 2) div (2 + 1)) + x) + 1)
A185787: 1 7 25 62 125 221 357 540 777 1075 1441 1882 2405 3017 3725 4536
((((x - ((((x * 2) div (((x div (2 + 2)) + 2) + 2)) mod 2) * 2)) div (2 + 1)) + x) + 1)
A153350: 1 2 3 4 5 7 9 10 11 12 13 15 16 17 19 21
(((((((((x + 1) * 2) * (2 + 1)) + (x div (2 + 2))) * 2) * 2) div (2 + 1)) - x) - 1)
A189931: 7 14 21 28 36 43 50 57 65 72 79 86 95 102 109 116
(compr(\x.(2 - (((x + 2) * (x + 2)) mod (2 - (x - (((2 + 2) * 2) * (2 + 1)))))),x) + 1)
A164713: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 21
(((((((((x - (x div (2 + 1))) mod (2 + 1)) div 2) + x) + 2) * 2) div (2 + 1)) + x) + 1)
A003254: 2 4 6 8 9 10 12 14 15 17 19 21 23 24 25 27
(((((((((((x + 1) div 2) div 2) + 2) * (2 + 1)) div 2) + x) * 2) div (2 + 1)) + x) + 1)
A206818: 3 4 6 8 10 12 13 16 18 20 21 24 25 27 29 32
(compr(\x.(1 - (((((((x div (2 + 2)) + 1) div 2) * x) div (2 + 1)) + x) mod (2 + 1))),x) + 1)
A092875: 2 3 5 7 9 11 12 13 15 16 17 18 20 21 23 24
(compr(\x.(2 - (((((((((2 + 2) * 2) * 2) + 1) * 2) * 2) + 1) mod (x + 1)) - 2)),x) + 1)
A078892: 5 7 8 9 10 12 13 14 15 16 18 19 20 21 24 25
((((((x - ((((x mod 2) - x) - 1) div ((2 + 2) + 1))) + 2) mod (x + 1)) * 2) + x) + 1)
A152769: 1 2 7 8 9 10 13 14 15 16 19 20 21 22 23 24
((((x - ((((x + 2) div (1 - ((2 + 2) * 2))) * ((2 + 2) + 1)) div 2)) div 2) + x) + 1)
A014248: 2 4 5 7 8 10 12 14 15 17 18 20 21 24 26 27
(((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) div 2) * (2 + 1)) div 2) * 2) + x) + 1)
A252494: 1 2 3 4 5 6 7 8 9 10 11 14 15 20 21 24
((((((((1 mod (((2 + 2) * 2) - (x div 2))) + x) div 2) * (2 + 1)) div 2) * 2) + x) + 1)
A102858-A102857: 1 4 5 10 11 14 15 20 21 24 25 30 31 34 35 36
((((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * (x - 1)) div 2) div 2) + x) + 1)
A055471: 1 2 3 4 5 6 7 8 9 10 11 12 15 20 24 30
(((((2 - ((((x div 2) - ((x mod (2 + 1)) div 2)) * (2 + 1)) div 2)) div 2) * 2) + x) - 1)
A259579: 1 2 3 2 1 4 3 4 5 4 3 6 3 4 5 6
((((x mod ((x div (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 2)) div 2) + x) + 1)
A210253: 1 2 3 4 5 6 8 8 9 10 11 13 14 16 16 16
((((((((x * x) * (2 + 2)) * (2 + 1)) div (((2 + 1) * 2) + 1)) + x) div 2) + x) + 1)
A022777: 1 3 7 13 20 29 40 53 67 83 101 121 142 165 190 216
(((((((((((x mod (2 + 1)) mod 2) + x) * (2 + 1)) div 2) + 1) div 2) + x) div 2) + x) + 1)
A187837: 1 3 5 6 9 10 12 14 16 18 20 21 23 26 27 29
((((((((x * x) div (2 + 2)) + ((x * 2) * (2 + 1))) div (x + 2)) + x) * 2) + x) + 1)
A319879: 1 8 13 18 21 26 29 34 37 40 45 48 51 56 59 62
(((((((x div 2) div (2 + 1)) + x) * (2 + 2)) div (2 + 1)) + 1) + (((x + 2) * x) + 1))
A161203: 2 6 12 21 31 43 59 75 94 114 136 161 188 217 247 279
(((x mod (((x * 2) div ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 1) * (x + 1))
A304203: 1 4 9 8 25 36 49 32 27 100 121 72 169 196 225 128
(((((x + 1) * x) div ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1) mod (x + 1))
A318828: 0 1 1 3 1 5 1 7 7 9 1 11 1 13 11 15
(((x mod (((((((x mod (2 + 1)) div 2) + 2) * 2) * 2) mod (x + 1)) + 1)) + 1) * (x + 1))
A099469: 1 2 3 4 5 6 7 8 9 10 22 12 52 70 30 112
(((x mod ((x mod (1 - (x div (((x - 2) mod ((0 - 2) - 2)) - 2)))) + 1)) + 1) * (x + 1))
A086938: 1 4 3 8 5 18 7 16 27 20 11 48 13 28 15 64
((x - ((((x mod (((2 + 2) + 1) * 2)) - x) * (((2 + 2) * 2) + 1)) - 1)) * (x + 1))
A111704: 1 4 9 16 25 36 49 64 81 100 1111 1224 1339 1456 1575 1696
(((((((((x + 1) * x) * (2 + 1)) + 2) * x) div 2) * ((2 + 2) + 1)) + 1) * (x + 1))
A095266: 1 42 303 1144 3105 6906 13447 23808 39249 61210 91311 131352 183313 249354 331815 433216
(((((((x + 2) * (x + 1)) div 2) * (2 + 1)) mod ((x div (2 + 2)) + 1)) + 1) * (x + 1))
A085701: 1 2 3 4 10 12 7 8 9 10 11 12 26 56 15 16
compr(\x.(((((x div 2) div ((x mod ((2 - (x mod 2)) + 1)) + 1)) + 1) mod (2 + 1)) - 1),(x + 1))
A061910: 1 2 3 6 9 10 11 12 13 14 15 18 20 21 22 23
((((((x - (1 - (((x + 1) * 2) * (2 + 1)))) * x) div 2) * (2 + 1)) + 1) * (x + 1))
A100168: 1 38 174 472 995 1806 2968 4544 6597 9190 12386 16248 20839 26222 32460 39616
((((((((((2 + 2) + 1) * x) + 2) * 2) * 2) - (x mod 2)) * (2 + 1)) + 1) div (x + 1))
A309623: 25 41 48 50
compr(\x.((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) - 1),(x + 1))
A325796-A279029: 1 2 3 4 6 8 10 12 16 18 20 24 28 30 32 36
compr(\x.(1 - (x mod ((((((x div 2) + 2) * ((2 + 2) + 1)) + 1) mod (x + 1)) + 1))),(x + 1))
A273786: 5 7 8 9 10 13 17 18 19 21 22 23 24 25 26 27
(((((x + 1) mod ((x mod ((((x - 1) mod (2 + 1)) + 2) * 2)) + 1)) * 2) + 1) * (x + 1))
A161980: 1 2 3 4 5 6 7 8 9 10 55 12 91 14 15 16
(((((x * 2) div ((((x div ((x mod (2 + 1)) + 2)) + 2) + 2) + 1)) * 2) + 1) * (x + 1))
A154785: 1 2 3 12 15 18 21 40 45 50 55 84 65 70 105 80
((((((((x + 2) + 2) + 2) * (x + 1)) - 1) * 2) * (((2 + 1) * 2) + 1)) div (x + 1))
A295807: 70 91 107
(((((((((((x * x) + 2) * x) div (2 + 1)) + x) * 2) + x) + 1) * 2) + 1) * (x + 1))
A292001: 3 26 93 260 615 1278 2401 4168 6795 10530 15653 22476 31343 42630 56745 74128
compr(\x.((x + 1) mod (((((x * 2) div (((2 - x) div (2 + 1)) - 1)) mod 2) * 2) + 1)),(x + 1))
A099247: 1 2 4 5 6 8 11 13 14 16 17 18 19 20 21 22
(((((x mod (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + 2)) + 2) * 2) + 1) mod (x + 1))
A119994: 0 1 2 1 2 3 2 3 5 1 2 3 2 3 5 3
compr(\x.((x + 1) mod ((x mod (((((x * x) div 2) mod ((2 + 1) * 2)) + 2) * 2)) + 1)),(x + 1))
A196736: 1 2 3 4 5 7 8 9 11 12 13 15 16 17 19 23
compr(\x.((((x * x) * 2) mod (x - (((1 - (((2 + 2) * 2) * 2)) * 2) * 2))) - 1),(x + 1))
A162826: 12 15 20 30 36 40 60 84 90 100 120 140 165 180 228 240
((((x + 2) - ((x + 1) mod (((2 + 2) + 1) * 2))) * (((2 + 2) * 2) + 1)) div (x + 1))
A097326: 9 4 3 2 1 1 1 1 1 9 9 8 7 7 6 6
(((x - (((2 - ((x div (2 + 2)) + x)) div (2 + 2)) - 1)) * ((2 + 2) + 1)) - (x + 1))
A188293: 4 8 12 21 25 29 38 42 46 55 59 63 72 76 80 84
((((x * 2) div ((((x div (2 + 2)) + 2) + 2) + 1)) + (x div ((2 + 2) + 1))) + (x + 1))
A187899: 1 2 3 5 6 8 10 11 12 13 15 17 18 19 20 22
compr(\x.(1 - ((x - (((((x div (2 + 2)) mod 2) - (x div 2)) div 2) - 1)) mod (2 + 1))),(x + 1))
A288509: 1 2 3 5 6 8 10 12 13 15 17 19 20 22 23 24
((((((x * x) * (x + 1)) div 2) * ((((x + 2) + 2) * x) + 1)) div (2 + 1)) * (x + 1))
A279437: 0 4 78 528 2200 6900 17934 40768 83808 159300 284350 482064 782808 1225588 1859550 2745600
(((((x - (1 - (((((2 + 1) * x) + 2) * 2) * (2 + 1)))) * x) div 2) + 1) * (x + 1))
A100172: 1 32 150 412 875 1596 2632 4040 5877 8200 11066 14532 18655 23492 29100 35536
compr(\x.(((((x * 2) mod (((2 + 1) * 2) + 1)) * ((2 + 2) + 1)) - (x div 2)) - 1),(x + 1))
A168135: 7 11 14 18 21 22 25 28 29 32 33 35 36 39 40 42
((((((x div (((x + 2) mod ((2 + 2) * 2)) + 1)) mod 2) + 1) - (x mod 2)) + 1) mod (x + 1))
A056171: 0 1 2 1 2 1 2 2 2 1 2 2 3 2 2 2
((compr(\x.(1 - (((x + 1) div ((((x div 2) * x) mod 2) + 2)) mod (2 + 1))),x) + 1) mod (x + 1))
A304431: 0 1 1 1 3 3 3 3 3 4 4 4 4 7 7 7
(((x div ((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)) + 2) mod (x + 1))
A306264: 0 1 1 1 1 4 1 1 1 6 1 5 1 8 6 1
((((x mod ((((((x * 2) div (2 + 1)) * 2) div (2 + 1)) + 1) * 2)) + 1) * 2) + (x + 1))
A239487: 3 6 5 12 7 18 9 12 11 30 13 16 15 18 17 20
((x - ((((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) - 1) div 2)) * (x + 1))
A254520: 1 4 9 12 25 36 49 48 72 100 121 108 169 196 225 192
((((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) mod (2 + 1)) + 2) mod (x + 1))
A049298: 0 0 2 2 2 4 2 2 2 4 2 4 2 4 3 2
((((((((x * 2) + 1) * (x + 2)) + (2 + 2)) * (x + 2)) * (x + 1)) div 2) * (x + 1))
A250388: 6 78 432 1560 4350 10206 21168 40032 70470 117150 185856 283608 418782 601230 842400 1155456
compr(\x.((((x div 2) - (x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1)))) div 2) * 2),(x + 1))
A215121: 1 2 3 10 19 20 30
(((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * 2) + (((x + 1) div 2) div 2)) + (x + 1))
A120486: 1 2 3 5 6 7 8 10 13 14 15 17 18 19 20 24
((1 - (((x - (((1 - x) * x) div ((((2 + 2) * 2) * 2) * 2))) mod 2) * 2)) * (x + 1))
A061019: 1 ~2 ~3 4 ~5 6 ~7 ~8 9 10 ~11 ~12 ~13 14 15 16
(1 - ((x div 2) mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)))))
A214868: 1 1 1 1 2 1 1 3 3 1 1 5 6 5 1 1
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((x * x) div (2 + 2)) * (x + 1)))
A272459: 0 1 7 18 40 71 119 180 264 365 495 646 832 1043 1295 1576
((((1 - (x - (((x * 2) * 2) * (2 + 1)))) * (((2 + 1) * x) + 2)) div 2) * (x + 1))
A100153: 1 60 276 748 1575 2856 4690 7176 10413 14500 19536 25620 32851 41328 51150 62416
((((((((x + 2) * (x + 2)) * ((x + 2) + 2)) * (x + 1)) div 2) - x) * 2) * (x + 1))
A268459: 16 176 852 2776 7160 15816 31276 56912 97056 157120 243716 364776 529672 749336 1036380 1405216
(((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((x * x) div (x + 2))) + (x + 1))
A054107: 1 3 8 15 27 44 67 97 135 182 239 307 387 480 587 709
((((((2 - x) mod (((x div (2 + 2)) + 2) + 1)) + x) div (2 + 2)) + (x * 2)) + (x + 1))
A327737: 1 4 7 11 14 17 20 24 28 31 34 37 40 43 46 51
(1 - (((((((x - 2) * x) div (((x div 2) + 2) + 2)) mod 2) + 1) - (x mod 2)) mod (x + 1)))
A168394: 1 0 0 1 ~1 1 ~1 0 0 0 0 0 0 1 ~1 0
(((((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) + 1)) + 1) * x) * (x + 1))
A228294: 0 10 2046 88572 1398100 12207030 72559410 329554456 1227133512 3922632450 11111111110 28531167060 67546215516 149346699502 311505013050 617839704240
compr(\x.(((x mod ((((2 + 1) * 2) + 1) * 2)) * ((((2 + 2) * 2) * 2) + 1)) - x),(x + 1))
A297282-A296755: 14 28 29 42 43 44 56 57 58 59 70 71 72 73 74 84
(((((((((x div 2) + x) div (2 + 2)) * (2 + 1)) + x) + 1) * (2 + 1)) + x) + (x + 1))
A105503: 4 9 14 28 33 38 52 57 71 76 81 95 100 105 119 124
(((((x - (((2 - x) * 2) div (2 - (x div ((0 - 2) - 2))))) mod 2) + x) + x) + (x + 1))
A287444: 1 5 7 10 13 17 19 22 26 28 31 35 37 41 43 46
(((x - ((((1 - x) * x) * ((x * 2) - 1)) div (2 + 1))) * ((2 + 2) + 1)) - (x - 1))
A143131: 1 5 19 63 157 321 575 939 1433 2077 2891 3895 5109 6553 8247 10211
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((x * 2) * 2) * ((x * x) - 1)))
A256647: 0 1 28 106 260 515 896 1428 2136 3045 4180 5566 7228 9191 11480 14120
(x mod ((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 2))
A056737: 0 1 2 0 4 1 6 2 0 3 10 1 12 5 2 0
(((((x div ((2 + 2) + 1)) + 1) div ((((0 - x) * 2) mod ((2 + 2) + 1)) + 1)) + 1) div 2)
A025884: 1 0 0 0 0 1 0 1 0 0 2 0 1 0 1 2
((((1 - (((x div ((2 - (x mod 2)) * 2)) + 1) div 2)) mod ((x div (2 + 1)) + 1)) + 1) div 2)
A199331: 0 0 0 0 0 0 0 1 0 2 0 1 2 2 2 2
((((x + 1) div ((((x mod (((x div ((2 + 2) + 1)) * 2) + 1)) + 1) * 2) + 1)) + 1) div 2)
A088018: 0 0 1 1 1 0 1 1 1 2 2 1 1 1 1 2
((((x * x) mod (((((((x div 2) * x) div ((x + 2) + 2)) mod 2) + 1) * 2) + 1)) + 1) div 2)
A330961: 0 1 1 0 1 0 1 2 1 0 0 1 0 1 1 0
((x - (((x + 1) mod ((((((x * x) div (2 + 1)) mod (x + 1)) div 2) * 2) + 1)) - 1)) * 2)
A060685: 2 4 6 6 10 12 10 16 18 14 22 20 18 28 30 22
((((x + 1) mod (((((2 - (x * x)) mod (2 - (x div (0 - 2)))) div 2) * 2) + 1)) + 1) div 2)
A089605: 0 0 0 0 1 0 0 0 2 0 0 0 1 2 0 1
((x + 1) div ((((x * 2) mod (((2 - (x mod (1 - ((2 + 2) * 2)))) * 2) + 1)) + 1) * 2))
A076413: 0 0 0 0 0 1 0 0 0 1 0 6 0 1 1 0
((((x * 2) div (((x * 2) div (((x * 2) div ((x div (2 + 2)) + 2)) + 2)) + 1)) + 1) + 2)
A143082: 3 5 5 6 5 6 7 7 8 7 9 8 7 9 8 10
(((((x + 1) * 2) mod ((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) + 1)) + 1) div 2)
A103633-A093323: 1 0 1 0 1 1 0 0 1 1 0 0 1 2 1 0
(x - (((x div (2 + 1)) * 2) - (((x + 1) div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2)))
A199323: 1 2 3 2 3 4 3 4 5 3 5 5 5 5 6 5
((((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) * (2 + 1)) + 1) div 2)
A096142: 0 0 0 0 2 0 0 2 0 0 2 0 2 3 0 0
(((x * x) div (((x * 2) - (((x div 2) - ((x mod (2 + 1)) div 2)) * (2 + 1))) + 1)) div 2)
A234306: 0 0 0 1 2 1 4 4 4 5 8 5 10 9 8 11
(((((((x + 2) * 2) + x) * (x + 1)) div 2) * ((((x + 1) div 2) * (2 + 1)) + 1)) div 2)
A228124: 1 14 30 91 140 285 385 650 819 1240 1496 2109 2470 3311 3795 4900
((((((x * 2) - (x div ((((x div 2) mod (2 + 2)) + 2) + 2))) + 2) * (2 + 1)) + 1) div 2)
A305495: 3 6 9 12 15 18 21 23 24 27 30 33 36 39 42 45
(((((x - ((((((x - 1) div 2) div 2) * (x div 2)) div 2) div 2)) * 2) div (2 + 1)) + 1) + 2)
A196592: 3 3 4 5 5 6 7 7 7 7 8 9 9 9 9 9
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) * 2) * (2 + 1)) - 1) * 2))
A240129: 0 1 36
A070726: 0 1 36 25 8 17 26 5 12 27 14 7 16 9 42 11
(2 - (((((((((x div (2 + 2)) + 2) + 2) - x) * (x + 2)) div 2) div (2 + 1)) + 1) div 2))
A070048: 1 1 1 2 1 2 3 3 4 5 6 7 8 9 11 13
(2 - ((2 - ((((x div (2 + 2)) + x) + ((2 + 2) + 1)) mod ((x div (2 + 1)) + 1))) div 2))
A140192: 1 1 1 1 1 2 1 2 1 1 2 2 1 2 2 4
((x - (1 mod (x - ((((((x - 1) * x) div (2 + 2)) - 1) * ((x * 2) + 1)) - 1)))) + 2)
A333547: 1 2 3 4 18 44
((((((((x div (2 + 1)) * x) + 2) div ((2 + 2) + 1)) + 1) mod ((x div 2) + 1)) + 1) div 2)
A302242: 0 0 1 0 1 1 2 0 2 1 1 1 2 2 2 0
(((((((((x div 2) + 2) * (x div (2 + 1))) div 2) div 2) + 1) div ((x mod 2) + 1)) + 1) div 2)
A029198: 1 0 1 0 1 1 2 1 2 1 3 2 5 2 5 3
((x - ((((x mod (((x mod (((2 + 2) * 2) + 1)) + 1) * 2)) + 1) mod (x + 1)) - 1)) * 2)
A117463: 2 4 6 8 10 12 14 16 18 16 16 12 16 20 24 28
((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) - x) mod (x + 1)) + 1) div 2)
A088433: 0 1 1 1 1 2 1 2 1 2 1 4 1 2 2 3
((((((x + 2) mod ((x div ((((x mod (2 + 1)) + 1) * 2) + 1)) + 1)) + 1) div 2) + 1) div 2)
A001842: 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 2
((((((((x - 1) div 2) * x) div ((((x div 2) + 1) div (2 + 1)) + 1)) + 1) div 2) + 1) div 2)
A307815: 0 0 0 1 1 2 2 3 3 5 4 5 5 7 7 9
((((x - ((((x div (2 + 1)) + x) * 2) div (((1 - x) div (2 + 1)) - 1))) div 2) + 1) + 2)
A088243: 3 4 5 6 7 7 9 9 9 10 11 11 12 13 13 14
(((x + 1) mod (((((((x - 1) * x) div 2) + 1) mod ((x div (2 + 1)) + 1)) * 2) + 1)) div 2)
A218786: 0 0 0 0 1 0 0 1 2 0 0 0 1 2 0 3
(((((((((x * 2) - 1) * x) mod (((2 + 2) * 2) + 1)) mod (x + 1)) + 1) div 2) + 1) div 2)
A180835: 0 1 0 1 1 0 1 1 1 0 1 2 2 1 0 1
(1 - ((((((((x - 2) * x) mod (((2 + 2) * (2 + 1)) - 1)) div 2) + 1) div 2) + 1) div 2))
A014075: 1 ~1 1 0 0 0 0 0 0 0 0 1 ~1 1 0 0
((1 - (x div (0 - ((x div ((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + 1)))) * 2)
A247653: 2 4 6 6 10 8 14 8 18 12 22 10 26 16 30 10
((((((((((x div ((x mod 2) + 1)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2)
A308307: 0 0 1 0 1 1 2 1 3 2 4 2 5 3 7 4
((((x * 2) + 1) mod (((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 1)) + 2) + 1)) div 2)
A305435: 0 0 0 1 0 2 0 1 1 2 0 2 0 1 2 1
(((((((((x * 2) + 1) * x) + 1) * (((2 + 1) * 2) + 1)) * (x + 1)) div 2) - 1) div 2)
A007202: 1 13 57 153 323 587 967 1483 2157 3009 4061 5333 6847 8623 10683 13047
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2)
A327031-A271916-A226545-A014473: 0 0 0 0 1 0 0 2 2 0 0 3 5 3 0 0
(((((((((2 - (((x mod 2) * x) div 2)) div 2) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2)
A246582: 0 0 0 0 0 0 1 0 1 0 1 ~1 1 ~2 1 ~3
((((x - ((x - ((((x * 2) div (2 + 1)) - 1) mod ((2 + 2) + 1))) div 2)) div 2) + 1) div 2)
A134337: 1 1 0 1 1 1 1 1 2 1 1 2 2 2 2 3
((((((x - (((x + 1) div ((2 + 2) + 1)) - 1)) * ((x div 2) + 1)) div 2) div 2) + 1) div 2)
A340275: 0 0 1 1 2 2 3 4 5 5 7 8 10 11 12 13
((((((((((x div 2) + 1) * 2) * 2) + (x div (2 + 1))) * (x + 1)) div 2) div 2) + 1) div 2)
A212987: 1 1 3 5 8 10 16 18 25 29 37 41 52 56 68 74
((((((((((x - (x div (2 + 2))) mod 2) * 2) - 1) * (x + 1)) div 2) div 2) div 2) + 1) + 2)
A124474: 2 3 2 3 3 2 3 2 1 4 1 4 4 1 4 1
((((x - ((0 - ((x - (((x + 1) div 2) mod ((2 + 1) * 2))) div 2)) div 2)) * 2) + 1) * 2)
A039956: 2 6 10 14 22 26 30 34 38 42 46 58 62 66 70 74
(((x div (2 + 1)) + 1) div (((((x + 2) mod (((x + 1) mod (2 + 2)) + 2)) div 2) + 1) * 2))
A035438: 0 0 0 1 1 0 0 1 1 1 1 2 1 1 2 3
(((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 2)
A259578: 2 2 2 2 3 2 2 3 3 2 2 4 3 4 2 2
(1 - (((x mod 2) - ((((x - (((x div (2 + 1)) * (1 - x)) div 2)) div 2) div 2) - 1)) div 2))
A029158: 1 0 1 1 1 1 2 2 2 3 4 3 5 5 6 6
(1 - (((((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod (2 + 2)) + 1) div 2))
A117449: 1 0 1 0 ~1 1 0 ~1 1 1 0 1 ~1 0 1 0
(((((((x + 2) - (x mod ((2 + 2) * 2))) * (2 + 1)) mod (x + 1)) mod (2 + 2)) + 1) div 2)
A256572: 0 0 0 1 1 0 1 1 2 0 0 1 0 1 0 1
((((x + 1) div ((((1 - x) mod ((2 + 2) + 1)) * (2 + 1)) + 1)) mod ((2 + 2) + 1)) div 2)
A100699: 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 2
((x + 2) div ((((((x div (2 + 2)) * (2 + 1)) div 2) - (x div 2)) mod ((2 + 2) + 1)) + 2))
A173911: 1 1 0 0 1 1 1 1 1 1 2 2 2 3 4 4
((x - (((x + 1) * 2) mod (((((2 + 2) + 1) * 2) * 2) + 1))) mod (((2 + 2) + 1) * 2))
A161813: 8 7 6 5 4 3 2 1 0 9 9 8 7 6 5 4
(((1 - (((x div ((2 + 2) + 1)) mod 2) * 2)) * ((x * 2) + 1)) mod (((2 + 2) + 1) * 2))
A206543: 1 3 5 7 9 9 7 5 3 1 1 3 5 7 9 9
(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),(x + 1)) + (((2 + 2) + 1) * 2))
A261020: 11 12 13 14 15 16 17 18 19 21 31 41 51 61 71 81
((x - ((((x div 2) - (((x div (2 + 2)) mod 2) * 2)) * 2) * 2)) + (((2 + 2) + 1) * 2))
A004451: 10 11 8 9 14 15 12 13 2 3 0 1 6 7 4 5
(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) + (x mod (((2 + 2) + 1) * 2)))
A345111-A056964-A052008: 0 2 4 6 8 10 12 14 16 18 11 22 33 44 55 66
(2 - ((((((x * 2) mod ((x div 2) + 2)) div 2) mod 2) + 1) mod ((x mod ((2 + 2) + 1)) + 2)))
A121444: 1 1 1 1 1 2 0 1 1 1 2 1 1 0 1 2
((((((((((x mod ((2 + 2) + 1)) + 1) div 2) * 2) * (2 + 1)) + x) div 2) div 2) + 1) div 2)
A245574-A245573-A057536: 0 1 1 2 2 1 2 2 3 3 1 2 2 3 3 2
((((x mod (((x * 2) mod ((((x - 1) mod (2 + 2)) * 2) - 1)) + 1)) + 1) * (2 + 1)) - 2)
A131301: 1 1 1 1 1 1 1 4 1 1 1 4 7 1 1 1
(((((x + 2) mod (2 - ((1 - (x div 2)) div ((2 mod (x + 1)) + 1)))) + 1) * (2 + 1)) div 2)
A107638: 1 1 1 3 1 3 4 1 3 4 1 3 4 6 1 3
((((((((x * x) * (2 + 1)) + x) div 2) mod (((2 + 2) * 2) + 1)) + 1) * (2 + 1)) - 2)
A070412: 1 7 22 19 25 13 10 16 4 1 7 22 19 25 13 10
((((((((x + 1) * x) div (2 + 1)) * ((x * 2) + 1)) div (2 + 1)) + 1) div (2 + 1)) * 2)
A307559: 0 0 2 6 12 24 40 60 90 126 168 224 288 360 450 550
(((((((x - (x div (((0 - 2) - 2) - 1))) * 2) * 2) div (2 + 1)) + 1) * (2 + 1)) + 2)
A084088: 5 11 17 20 23 29 35 41 44 47 53 59 65 68 71 77
(((x - (x mod (((((1 - x) * 2) div (((2 + 2) * 2) + 1)) * 2) - 1))) div (2 + 1)) * 2)
A198332: 0 0 2 2 4 4 6 6 6 6 6 8 8 8 8 12
(((((((x div (((2 + 1) * 2) + 1)) + x) + 2) * ((x + 1) div 2)) + 1) div (2 + 1)) div 2)
A049995: 0 0 0 1 2 3 4 6 7 10 11 14 15 18 21 25
(((((((2 + 2) * 2) * (x + 1)) + (x div ((2 + 2) + 1))) div (2 + 1)) * (2 + 1)) div 2)
A022805: 3 7 12 15 19 24 28 31 36 40 45 48 52 57 60 64
((((((x + 1) mod (((x mod ((x div 2) + 1)) div 2) + 2)) + 2) div (2 + 1)) * (2 + 1)) div 2)
A291960-A245120: 1 0 1 0 1 0 1 1 0 1 1 0 1 3 0 1
(((((x + 1) mod ((x mod (((2 + 2) * 2) - (x mod (2 + 1)))) + 1)) + 2) * (2 + 1)) * 2)
A343194: 12 12 12 12 12 12 12 12 12 12 30 12 30 12 12 12
((1 - ((((((x div (((x + 2) mod (2 + 2)) + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))) + 2)
A136691: 1 1 2 2 2 2 1 3 2 2 3 1 3 3 2 2
(((((((((x mod 2) + x) * 2) + x) + 1) * 2) + 1) - (((x + 1) div 2) div (2 + 1))) div 2)
A011990: 1 6 7 12
A327313: 1 6 7 12 13 18 19 24 25 30 31 35 36 41 42 47
((((((((((x mod 2) + (x * 2)) * 2) + x) - 1) * x) * (x + 1)) div 2) div (2 + 1)) div 2)
A220788: 0 1 4 16
A046001: 0 1 4 16 31 65
(((((x mod ((((x mod ((2 + 2) + 1)) - 1) mod (2 + 1)) + 2)) div 2) + 2) * (2 + 1)) - 2)
A023404: 4 4 7 7 4 4 4 4 4 4 7 4 4 4 4 7
(((((((x - 1) * 2) * (x - 1)) mod (((x div (2 + 2)) + 2) + 2)) div 2) * (2 + 1)) div 2)
A325268: 1 0 1 0 1 1 0 1 1 1 0 1 3 0 1 0
((2 - (x - (((x * 2) - ((x - (((x div 2) + x) div (2 + 2))) div 2)) * (2 + 1)))) + 2)
A190547: 4 9 11 16 21 23 28 33 38 40 45 50 52 57 62 64
(((((2 + 2) * 2) * 2) * 2) - (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)))
A131762: 32 31 31 30 31 30 30 29 31 30 30 29 30 29 29 28
((x * 2) - ((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)))
A283208: 0 2 3 6 7 9 10 14 15 17 18 21 22 24 25 30
(((compr(\x.(((((x * x) div (2 + 1)) * ((x + 1) div 2)) div 2) mod 2),x) + 2) * (2 + 1)) + 2)
A279776: 8 11 14 23 26 29 32 38 41 44 47 53 56 59 62 65
(((((((((x + 2) * x) * ((2 + 2) + 1)) + 2) * (x + 2)) * x) div 2) div (2 + 1)) div 2)
A187452: 0 4 28 96 244 516 968 1664 2680 4100 6020 8544 11788 15876 20944 27136
(((((x div 2) * (x + 1)) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1))) div 2)
A294286: 0 0 5 10 30 46 91 124 204 260 385 470 650 770 1015 1176
((compr(\x.(1 - (x mod (((2 - (((x mod (2 + 2)) - 1) div 2)) * 2) + 1))),x) * (2 + 1)) div 2)
A022304: 1 3 6 9 10 12 13 16 18 19 21 24 25 27 28 30
((compr(\x.(2 - (((x * x) - ((x div (2 + 2)) mod 2)) mod ((2 + 2) + 1))),x) * (2 + 1)) * 2)
A112054: 12 18 30 42 48 72 78 90 102 108 120 132 138 162 168 180
((((((x - ((x * x) div (x - ((2 - x) div 2)))) * 2) div (2 + 1)) + x) * (2 + 1)) + 2)
A031210: 2 5 8 11 14 20 23 29 32 35 38 41 44 50 53 56
(((((((x + 1) div ((x mod (2 + 2)) + 1)) mod 2) + (x div (2 + 1))) + x) * (2 + 1)) div 2)
A026225: 1 3 4 7 9 10 12 13 16 19 21 22 25 27 28 30
((((((((((x - ((x div 2) mod 2)) div 2) + 1) + 2) * x) + x) + 2) + x) div (2 + 1)) div 2)
A195060: 0 1 2 3 5 6 7 9 12 13 15 18 22 24 26 30
(((((((x + 1) * 2) - ((((x div 2) + 1) div 2) div 2)) * 2) + 1) + (x div (2 + 1))) div 2)
A184978: 2 4 6 9 11
A024978: 2 4 6 9 11 13 14 16 18 21 23 25 27 29 30 33
((((((((x + 2) div (2 + 1)) mod (2 + 2)) div (2 + 1)) + 1) * 2) + (x mod (2 + 1))) div 2)
A105202: 1 1 2 1 1 2 1 2 3 2 1 2 1 1 2 1
(((((2 - (x div ((((x div (2 + 2)) - 2) - 2) - 1))) div 2) * 2) - (x mod (2 + 1))) div 2)
A029272: 1 0 0 1 0 1 2 1 1 2 2 2 4 3 3 5
((((((x mod (2 + 2)) * 2) - 1) mod ((x div 2) + 1)) div (2 + 1)) + ((x mod (2 + 1)) mod 2))
A128115: 0 1 0 0 1 0 1 1 1 0 2 1 2 1 1 1
((((((2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) * (2 + 1)) + x) div 2) + 1) div 2)
A067434: 1 2 2 3 3 4 4 5 5 5 6 6 6 6 7 8
((((((x * x) div 2) - (1 - ((x * 2) mod ((x div (2 + 2)) + 1)))) mod (x + 2)) + 1) div 2)
A337787: 1 1 1 2 1 2 1 3 1 3 2 4 1 5 1 6
((((((x - (1 - (((x + 1) * 2) * (2 + 1)))) * x) div 2) + 1) * ((x + 2) + 1)) - 2)
A095796: 1 26 98 238 467 806 1276 1898 2693 3682 4886 6326 8023 9998 12272 14866
(((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) * (((x * x) * (x + 2)) - 1)) div 2)
A076389: 0 1 30 220 950 3045 8036 18480 38340 73425 131890 224796 366730 576485 877800 1300160
((((((x - (((x + 1) div 2) mod ((2 + 2) + 1))) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2)
A029230: 1 0 1 0 1 0 1 1 1 2 2 2 2 2 3 2
(((((((((x div ((2 + 2) + 1)) * x) div 2) + 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2)
A029206: 1 0 1 0 1 1 1 1 2 1 3 2 3 3 3 4
((((((x + 1) div ((((x * 2) mod (2 + 1)) + (x mod 2)) + 2)) + 1) - (x mod 2)) + 1) div 2)
A339660: 1 0 1 1 1 1 2 1 2 2 2 2 4 1 3 3
(((x - 1) mod (((((((1 - x) mod (2 + 1)) + (x mod 2)) * 2) + 1) - (x mod 2)) + 1)) div 2)
A319195: 1 0 0 1 0 2 0 0 0 1 0 1 1 0 0 2
(((x - 1) mod (((((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + 2) + (x mod 2)) + 1)) div 2)
A230264: 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 2
(x div ((x div ((((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) * 2) + (x mod 2)) + 1)) + 2))
A334201-A323077: 0 0 0 1 0 1 0 2 2 1 0 2 0 1 2 3
((compr(\x.(1 - (x mod ((((x mod (((2 - x) mod (2 + 2)) + 2)) * 2) * 2) + 1))),x) + 1) div 2)
A246372: 1 2 3 4 6 7 9 10 12 15 16 19 20 21 22 24
(((((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (((2 + 2) * 2) + 1)) + x) + 1) div 2)
A106746: 5 5 6 6 7 7 8 8 9 9 55 55 56 56 57 57
((((((1 - (((x div (2 + 1)) mod (2 + 1)) div 2)) * (2 + 1)) * (2 + 1)) + x) + 1) + 2)
A004501: 12 13 14 15 16 17 9 10 11 21 22 23 24 25 26 18
((((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) div ((x + 2) + 1)) + x) + 1) div 2)
A004235: 0 7 11 14 16 18 19 21 22 23 24 25 26 26 27 28
((compr(\x.(1 - (((x mod ((x mod (1 - ((2 + 2) * 2))) - 2)) mod 2) + (x mod 2))),x) + 1) + 2)
A121541: 4 5 6 7 8 10 12 14 16 18 19 20 22 23 24 26
(((((((x mod ((0 - 2) - (x div (2 + 1)))) + 1) mod 2) * (2 + 1)) + 1) * (x + 1)) div 2)
A073675: 2 1 6 8 10 3 14 4 18 5 22 24 26 7 30 32
((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) div 2)
A028422: 0 0 0 1 0 1 0 2 1 1 0 3 0 1 1 4
(x div ((((((2 div ((x mod ((x mod (2 + 2)) + 2)) + 1)) + 1) * 2) + 1) mod (x + 1)) + 2))
A212178: 0 0 1 0 1 1 1 1 0 1 2 1 1 1 2 1
((x + 2) div ((((((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2) + 1) mod (x + 1)) + 2))
A049317: 1 1 1 1 2 2 2 2 3 3 4 3 3 5 4 4
(((((((x * x) div ((((2 + 1) * 2) * (2 + 1)) + 1)) + 2) * 2) + 1) mod (x + 1)) div 2)
A027189: 0 0 1 0 0 0 0 0 1 1 2 2 3 3 5 5
((((x mod (((x - 1) mod (((((x + 1) div 2) div 2) + 2) + 2)) + 2)) + 1) mod (x + 1)) div 2)
A243823: 0 0 0 0 0 0 0 1 1 1 0 1 0 3 3 4
(x div (((x - ((((x div (2 + 1)) mod 2) - (x mod (2 + 1))) * (2 + 1))) mod (x + 1)) + 2))
A292108: 0 0 0 1 0 1 0 1 1 1 0 2 0 3 2 1
(1 - (x div (((((((x div 2) + 1) mod ((2 + 1) * 2)) + 2) * (2 + 1)) mod (x + 1)) + 2)))
A089810: 1 1 0 0 ~1 0 0 0 0 ~2 0 0 0 0 0 0
(1 - (x div (0 - ((((((2 + 1) * 2) * (2 + 1)) + (x div (2 + 1))) mod (x + 1)) + 2))))
A341737: 1 2 2 2 2 3 2 3 3 4 2 2 3 3 3 3
(((((x * x) - (((1 - x) * (x * 2)) * ((x * 2) - 1))) * (x + 1)) * (x + 1)) * 2)
A187191: 0 8 288 2208 9200 27720 68208 146048 282528 505800 851840 1365408 2101008 3123848 4510800 6351360
(compr(\x.((((x div 2) mod ((x div ((((x mod 2) + 2) * 2) + 1)) + 1)) + 1) mod 2),(x + 1)) div 2)
A195868: 3 5 7 7 9 11 11 13 13 15 16 17 17 19 19 21
(compr(\x.((((((((x * x) div (2 + 1)) * (2 + 1)) + x) div 2) + 1) div 2) mod 2),(x + 1)) * 2)
A194379: 2 14 16 28 30 32 34 36 42 44 46 48 50 62 64 76
((((((x * 2) + 1) mod (1 - (x div ((x mod ((0 - 2) - 2)) - 2)))) + 2) mod (x + 1)) div 2)
A305825: 0 0 0 1 1 1 1 2 2 1 1 2 3 2 3 1
((((2 - ((((((x * x) div 2) + 1) + (x div (2 + 2))) div 2) mod 2)) * 2) mod (x + 1)) div 2)
A212185: 0 0 1 0 1 1 2 1 1 1 2 1 2 2 1 2
(((x - (((((((x + 1) * 2) * (2 + 1)) + x) * x) * (1 - x)) div 2)) * (x + 1)) div 2)
A172077: 0 1 33 168 520 1245 2541 4648 7848 12465 18865 27456 38688 53053 71085 93360
(((((((((2 + 2) * (x + 1)) + x) * (x + 2)) * 2) + 1) * (x + 2)) * (x + 1)) div 2)
A076458: 17 165 678 1910 4335 8547 15260 25308 39645 59345 85602 119730 163163 217455 284280 365432
(((((((x * 2) - (x mod 2)) + 1) * 2) + 1) * (((2 + 2) * 2) + 1)) + ((x + 1) div 2))
A241407: 27 46 100 119 173 192 246 265 319 338 392 411 465 484 538 557
((2 - (x - ((x - ((x div (0 - 2)) * (2 + 1))) * ((2 + 2) + 1)))) * ((x + 1) div 2))
A219393: 0 21 25 88 96 201 213 360 376 565 585 816 840 1113 1141 1456
((((((((x div 2) - ((x div (2 + 2)) mod 2)) + 1) + x) div 2) * 2) + 1) + ((x + 1) div 2))
A231407: 1 4 6
A069909: 1 4 6 7 9 10 12 15 17 20 22 23 25 26 28 31
(((((((((x * 2) + 1) * 2) * (2 + 1)) + (x mod 2)) * 2) - 1) * 2) + ((x + 1) div 2))
A241521: 22 75 119 172 216 269 313 366 410 463 507 560 604 657 701 754
(((((x + 1) div ((x mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2)) + 1)) + 1) div 2) div 2)
A193759: 0 0 1 0 1 1 0 1 1 2 0 1 1 2 1 0
((((((((2 + 1) * 2) + 1) * (x + 1)) mod ((((2 + 2) * 2) * 2) + 1)) + 1) div 2) div 2)
A190549: 2 3 1 3 0 2 4 1 3 0 2 4 1 3 1 2
(((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) * (2 + 1)) - 1) * 2) * 2))
A070724: 0 1 40 31 16 25 8 39 24 37 32 11 12 29 20 27
(x div (((x + 1) div ((((x * x) mod (((x div ((2 + 2) + 1)) + 1) * 2)) + 1) * 2)) + 2))
A343897: 0 0 0 1 1 1 1 1 1 2 3 2 1 2 4 2
((x + 1) div ((((((x + 2) + 2) * ((x + 1) div 2)) mod (((2 + 1) * 2) + 1)) + 2) + 2))
A137171: 0 0 0 1 0 0 1 1 0 1 2 1 1 3 3 1
((((x div (((((((2 + 2) * 2) * 2) - x) + 1) mod ((x div 2) + 1)) + 2)) + 1) div 2) + 2)
A262887: 2 2 2 3 3 3 3 3 3 3 4 5 3 3 3 4
((((((((2 - ((1 - x) div ((2 + 2) + 1))) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2)
A201992: 0 1 2 3 4 5 6 9 10 11 12 13 18 19 20 22
((((x mod (((((((x mod 2) * 2) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2)) + 1) div 2) div 2)
A260728: 0 0 0 1 0 0 1 1 0 2 0 1 1 0 1 1
(((((((((x * x) + 1) * ((2 + 2) + 1)) div (x + 1)) * (x + 1)) div 2) + 1) div 2) div 2)
A293407: 0 1 3 6 10 16 23 31 40 51 62 75 89 105 122 140
((((((((((((x - 1) div 2) - 1) * x) div 2) * (x + 1)) div 2) div 2) div 2) + 1) div 2) div 2)
A331443: 0 0 0 0 0 0 0 2 2 4 5 8 10 14 16 22
(x - (((x * 2) * 2) div (((x div ((((((x - 1) div 2) mod 2) + 2) + 2) + 1)) + 2) + 2)))
A303637: 0 0 0 0 0 1 2 2 2 2 4 3 4 5 5 5
(((((x - (((x - (((x - 1) * x) div ((2 + 2) * 2))) div 2) div 2)) * 2) + 1) * 2) * 2)
A316489: 4 12 20 28 36 44 52 60 68 76 92 100 108 124 132 148
(((((((x * 2) - (x mod (2 + 2))) * (2 + 1)) * x) mod (((2 + 2) * 2) + 1)) + 2) div 2)
A106641: 1 2 2 1 4 1 1 4 4 1 1 4 1 2 2 1
(1 - (((x - ((((x + 2) * x) div ((2 + 2) * (2 + 1))) * ((2 + 2) + 1))) div 2) div 2))
A008670: 1 1 1 2 3 3 5 6 7 9 11 12 16 18 20 24
(((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) div 2) div 2)
A005228: 1 3 7 12 18 26 35 45 56 69 83 98 114 131 150 170
(((((x * 2) mod (2 - ((1 - x) div (2 + 1)))) + 1) mod ((x mod ((2 + 2) + 1)) + 2)) div 2)
A173920: 0 0 1 0 1 0 0 1 1 2 0 1 0 1 0 0
((x - ((((x div (((2 - ((x mod (2 + 1)) mod 2)) * 2) + 1)) * 2) div (2 + 1)) * 2)) div 2)
A049822: 0 0 1 1 2 2 3 2 4 4 3 4 5 4 6 5
((((x div (((x + 1) div ((x mod ((x mod (2 + 2)) + 2)) + 1)) + 2)) * (2 + 1)) div 2) + 2)
A248596: 2 2 2 3 2 3 3 3 2 2 5 3 2 3 5 2
(((x - (((((2 - (x div (2 + 1))) * (x div (2 + 1))) div 2) div 2) * (2 + 1))) + 2) * 2)
A134928: 4 6 8 10 12 14 16 18 20 28 30 32 40 42 44 58
((x - ((((((x * 2) + 1) mod (2 - (x mod ((0 - 2) - 2)))) + 2) div (2 + 1)) * 2)) + 2)
A222253: 0 1 2 3 4 5 6 9 8 7 10 11 12 13 14 15
(((((((x - 1) * x) div ((((x div (2 + 2)) mod 2) + 2) + 2)) + 2) div (2 + 1)) + 2) div 2)
A029096: 1 1 1 1 1 2 2 2 3 4 5 5 5 6 7 8
(((((((((x * x) div (x - ((2 - x) div 2))) mod 2) + x) div 2) + 2) * (2 + 1)) div 2) div 2)
A283480: 1 2 2 2 3 3 3 3 4 4 5 6 6 6 6 6
(((((((((x div 2) - ((x div (2 + 2)) mod 2)) + 1) div 2) * 2) + x) * (2 + 1)) div 2) + 2)
A288740: 2 3 8 9 11 12 14 15 20 21 26 27 29 30 32 33
((((((x - ((x div 2) div ((2 + 2) + 1))) + 2) * (2 + 1)) + (x mod (2 + 1))) div 2) div 2)
A108789: 1 2 3 3 4 5 6 7 8 8 8 9 9 10 11 12
((((((((x mod ((2 + 2) * 2)) + 2) mod (x + 1)) + 1) * 2) - (x mod (2 + 1))) div 2) div 2)
A238210: 0 0 0 1 0 0 1 0 1 2 2 2 3 3 4 5
((((((((((x + 2) * x) * ((x * 2) + 1)) div 2) div (2 + 1)) + x) div 2) + 1) * 2) * 2)
A334706: 4 8 20 44 84 140 224 332 472 648 864 1120 1428 1784 2196 2668
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) + 2)
A201375: 2 2 2 2 3 2 2 4 4 2 2 5 8 5 2 2
((((((((((x + 2) * x) + (2 + 2)) * 2) + 1) * 2) + 1) * ((x * 2) + 1)) * 2) * 2)
A167586: 76 372 1020 2212 4140 6996 10972 16260 23052 31540 41916 54372 69100 86292 106140 128836
(x div ((x div (((((((x div 2) + (x * 2)) * 2) * 2) + 1) mod ((x div 2) + 1)) + 2)) + 2))
A030620: 0 0 1 1 1 1 1 1 2 3 3 2 2 3 3 3
(x mod ((((((x * 2) div ((((x + 1) div 2) div (2 + 1)) + 2)) - (x mod 2)) + 1) + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A103693: 0 1 2 3 4 5 6 7 8 9 10 2 1 3 2 4
(((((((x + 1) div ((2 + 2) + 1)) * (((2 + 2) * (2 + 1)) + 1)) + x) + 1) * 2) * 2)
A194374: 4 8 12 16 72 76 80 84 88 144 148 152 156 160 216 220
(((((((((x * 2) - ((2 - x) div (2 + 2))) * (2 + 1)) div 2) * 2) + x) + 1) div 2) + 2)
A184836: 2 6 9 14 17 21 24 30 33 37 40 45 48 52 55 61
((compr(\x.((x + 2) - ((((x - (x div (2 + 2))) div 2) - 2) * (2 + 1))),(x + 1)) * 2) - 2)
A272303: 114 120 124 126 130 132 136 138 140 142 144 146 148 150 152 154
((2 + 1) mod ((((1 - ((((x * 2) - 1) mod ((2 + 2) + 1)) - 2)) mod (x + 1)) + 2) div 2))
A322512: 0 0 0 1 0 0 1 0 1 0 3 1 0 1 0 3
(((((((((2 + 2) * 2) * 2) + ((x + 2) * x)) * (x + 1)) div 2) * (x + 1)) div 2) + 2)
A120478: 6 21 56 126 252 461 786 1266 1946 2877 4116 5726 7776 10341 13502 17346
(((x - ((((((x + 1) div 2) div 2) * 2) div (2 + 1)) - 1)) * 2) + (((x + 1) div 2) div 2))
A184978: 2 4 6 9 11
A191194: 2 4 6 9 11 13 15 16 18 20 22 23 25 27 29 32
((1 - (x mod (1 - ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) * 2)))) div 2)
A330018: 0 0 0 1 0 0 0 3 1 0 0 2 0 0 0 6
(((((((((((x * 2) + 1) * 2) * 2) - x) * (x + 2)) div 2) * (2 + 1)) div 2) div 2) div 2)
A194126: 1 6 13 23 36 51 69 89 112 138 166 197 231 267 306 347
((x - ((((2 - ((x mod ((2 - (x mod 2)) + 2)) div 2)) + (x mod (2 + 1))) div 2) * 2)) + 2)
A222250: 0 1 2 3 4 5 8 7 6 9 10 11 12 13 14 15
((x mod ((((((((x div 2) + 1) * (2 + 1)) * (2 + 1)) + 1) div (x + 1)) + 2) + 2)) + 2)
A079050: 2 3 4 5 6 7 8 9 10 3 3 5 6 7 8 9
(((((x - (((2 - (x mod ((x mod (0 - 2)) - 2))) * 2) * 2)) mod (x + 1)) + 2) div 2) div 2)
A175045: 0 0 0 1 0 1 1 2 0 0 1 3 1 3 2 2
(((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) + ((((x + 1) div 2) div 2) div 2))
A189470: 2 4 7 9 12 14 16 20 22 25 27 29 32 34 37 40
(((((2 + 1) * x) + 2) - (((x + 1) div 2) div (2 + 1))) + ((((x + 1) div 2) div 2) div 2))
A189525: 2 5 8 11 14 16 19 23 26 29 32 34 37 40 43 47
(((((((x div (((x mod ((x mod 2) + 2)) + 2) + 2)) + 1) * (x + 1)) div 2) div 2) div 2) div 2)
A234361: 0 0 0 0 0 0 0 1 1 1 2 1 3 2 3 4
(((((((((x + 2) * x) div (((2 + 2) * 2) + 1)) + 2) * (x + 1)) div 2) div 2) div 2) div 2)
A239142: 0 0 0 0 1 1 3 4 5 8 10 12 16 20 24 30
(((((((((x div 2) + 1) * (2 + 1)) * (2 + 1)) + x) * ((x + 1) div 2)) div 2) div 2) div 2)
A192225: 0 1 2 5
A129232: 0 1 2 5 7 12 15 21 26 33 40 48 56 66 75 87
(x div (((x mod (((x - 1) mod ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + 2)) + 2) * 2))
A275494: 0 0 0 0 0 0 1 0 0 1 0 1 3 2 1 1
((((((0 - (x div ((x mod (0 - 2)) - 2))) * (((x - 1) div 2) div 2)) + 2) div 2) + 2) div 2)
A187821: 1 1 1 1 1 2 2 2 2 3 4 3 4 5 6 5
((x + 1) div ((((((x + 1) mod (((2 + 2) + 1) * 2)) + (x div (2 + 2))) div 2) + 2) + 2))
A237523: 0 0 0 0 0 0 0 1 1 2 2 2 1 2 1 2
((((2 + 2) * 2) + 1) div (1 - (((2 + 2) * 2) mod (((x div 2) - ((2 + 2) * 2)) * 2))))
A290300: 1 1 1 1 1 1 3 3 9 9 1 1 9 9 9 9
(((((((((x + 2) * 2) + x) * x) + (((2 + 2) * 2) + 1)) * (x + 2)) div 2) + 2) + 2)
A001291: 13 28 62 124
((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) + (x div ((2 + 2) * 2)))
A069812: 0 0 0 1 1 1 1 3 4 4 4 5 5 5 5 8
(((((((((x * x) * x) div 2) div (2 + 1)) div (((2 + 2) * 2) + 1)) + x) div 2) + 2) div 2)
A069911-A008582: 1 1 1 1 2 2 3 4 5 6 8 9 12 14 17 20
((((((((x * x) - 1) * x) div 2) div (2 + 1)) * ((((2 + 2) + 1) * x) + 2)) div 2) div 2)
A212415: 0 0 3 17 55 135 280 518 882 1410 2145 3135 4433 6097 8190 10780
((((((((((((x div 2) * (2 + 1)) + x) + 2) * x) div 2) - 1) div 2) + x) div 2) + 2) div 2)
A049700: 0 1 2 3 4 6 8 10 13 16 20 22 27 30 36 40
((((((((((x div ((2 + 2) + 1)) + x) + 2) * (x + 1)) div 2) div 2) + x) div 2) + 2) div 2)
A251419: 1 1 2 3 3 5 6 7 9 10 13 15 17 19 21 24
((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * (((x div 2) mod 2) + 2))
A333783: 0 0 0 0 0 2 0 0 0 2 0 6 0 2 3 0
(((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) mod (2 + 2))
A257398: 1 1 1 2 2 3 0 1 2 0 2 0 3 2 2 3
((((((x - ((1 - (x * 2)) * 2)) * x) * ((x * x) - 1)) div 2) div (2 + 1)) div (2 + 2))
A212501: 0 0 2 13 45 115 245 462 798 1290 1980 2915 4147 5733 7735 10220
((((((((x * x) div (((x div 2) + x) + 2)) + x) * (2 + 1)) div 2) div 2) + x) + (2 + 2))
A146968: 4 5 7
A187479: 4 5 7 10 12 14 16 19 21 23 25 27 30 32 34 37
((((((((((x * x) div (2 + 2)) + (x * x)) div 2) + 1) div 2) div 2) + x) + x) + (2 + 2))
A343946: 4 6 8 11 14 18 21 25 30 34 39 45 50 56 62 69
((2 - (((((x * x) - (((((x * x) - 1) * x) div 2) div (2 + 1))) - 1) * x) div 2)) div 2)
A058923: 1 1 0 ~2 ~4 ~4 1 15 43 91 166 276 430 638 911 1261
(((((((((x * 2) * 2) * ((2 + 2) + 1)) div ((x + 2) + 1)) * 2) + 1) + x) div 2) div 2)
A004219: 0 3 4 6 6 7 8 9 9 10 10 10 11 11 11 12
((((((((((x * x) div (2 + 2)) * (x + 1)) div 2) div 2) div 2) div (2 + 1)) + x) + 2) div 2)
A137793: 1 1 2 2 3 4 5 6 8 9 11 14 16 19 23 27
(((((x * 2) - ((((x + 2) * x) div ((x * 2) - ((2 - x) div 2))) - 1)) + x) + 2) + 2)
A336008: 5 7 9 12 15 18 20 23 25 28 30 33 36 38 41 44
((((((x + 2) * 2) - ((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)) + x) + 2) * 2)
A297925: 12 18 24 28 36 42 48 52 58 66 72 78 84 88 94 102
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2))
A339379-A339359-A329052-A306309-A303484-A302998-A299807-A296115-A275198-A273914-A242312-A223968-A214846-A212954-A197061-A183328-A180183-A180182-A180171-A144398-A140822-A140586-A140280-A140279-A128629-A123264-A108363-A107065-A096145-A095145-A095144-A095143-A095142-A089239-A076831-A061676-A051137-A034932-A034930-A034328-A034253-A008975-A008571-A007318: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1
((compr(\x.(1 - ((((x * 2) div (((x mod (2 + 2)) * 2) + 1)) mod 2) + (x mod 2))),x) + 2) + 2)
A342378: 5 7 9 11 13 15 17 18 19 21 22 23 25 27 29 31
(((1 - (((((x * x) div (2 + 1)) - x) * 2) div (((x + 2) + 2) + 2))) + (x * 2)) + 2)
A186385: 3 6 8 9 11 13 14 16 18 19 21 22 23 25 26 28
((((x - (((x - (x div (2 + 2))) div 2) mod (1 - ((x * 2) * 2)))) + 2) + (x * 2)) div 2)
A085303: 1 2 7 10 14 17 20 23 27 30 33 37 40 43 47 50
((((((((((2 + 2) + 1) * x) * 2) + 1) * (x div 2)) + x) * 2) + 1) + ((x * 2) * 2))
A014637: 1 7 55 81 189 235 403 469 697 783 1071 1177 1525 1651 2059 2205
(((((x - (x div ((((x div 2) + 1) div (2 + 1)) + 1))) div 2) + 1) + x) + ((x * 2) * 2))
A315489: 1 6 11 16 22 27 32 38 43 48 54 60 65 70 76 81
((((((x - (((x div ((2 + 2) + 1)) - x) * (2 + 2))) + 1) * 2) + 1) - (x div 2)) div 2)
A287577: 1 6 11 16 20 21 26 31 35 40 41 46 50 55 60 61
((((((((x - (x div (0 - 2))) * 2) + 1) * (2 + 1)) + x) * (2 + 1)) + (x div 2)) + 2)
A241406: 11 50 72 111 133 172 194 233 255 294 316 355 377 416 438 477
((((((x mod ((x mod ((x mod 2) + 2)) + 2)) * 2) + 1) - (x div (2 + 1))) + (x div 2)) div 2)
A238950: 0 1 1 1 1 2 1 2 1 2 1 4 1 2 2 2
((((((x - ((x * 2) div (0 - ((x div (2 + 2)) + 2)))) + 2) + 2) + 2) + (x div 2)) + 2)
A184116: 8 10 13 15 17 19 21 23 24 26 28 30 31 33 35 36
((((((x mod ((2 + 2) + 1)) + 1) mod ((x div (2 + 1)) + 1)) mod 2) + 1) + ((x div 2) mod 2))
A306227: 1 1 2 2 2 2 2 2 2 2 3 2 2 1 2 3
((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) + 2)
A085058: 2 3 2 4 2 3 2 5 2 3 2 4 2 3 2 6
((((x - (((x * 2) div (((2 + 2) * 2) + (x mod 2))) * (2 + 1))) + 1) + (x mod 2)) div 2)
A178677: 0 1 1 2 1 2 2 3 1 2 2 3 2 4 3 4
((((((((((x div 2) mod (2 + 1)) - 2) * 2) mod (x + 1)) div 2) div 2) + 1) + (x mod 2)) div 2)
A089614: 0 1 0 1 0 1 0 1 1 2 0 1 1 2 2 2
(((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) - (x mod 2)) * 2)
A062880: 0 2 8 10 32 34 40 42 128 130 136 138 160 162 168 170
(((x div ((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)) + x) + 2)
A254732: 2 4 6 6 10 12 14 12 12 20 22 18 26 28 30 20
(((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + x) + 2)
A248835: 2 4 6 6 10 9 14 12 12 15 22 16 26 21 20 20
(compr(\x.(x mod (((((x * x) * x) * ((x + 2) + 2)) mod (((2 + 2) * 2) + 1)) + 1)),x) + 2)
A138671: 2 5 7 8 11 14 16 17 20 22 23 25 26 29 32 34
(((((1 - (((x + 2) * x) mod (((2 + 1) * 2) + 1))) + (x div (2 + 1))) + 1) + x) div 2)
A243271: 1 0 1 2 2 4 2 5 4 6
(compr(\x.(x mod ((((((x * x) - 2) mod (((x + 2) + 2) + 2)) mod (2 + 1)) * 2) + 1)),x) + 2)
A028770: 2 3 5 8 10 11 12 13 14 15 17 18 20 21 22 23
((((((((x * x) div 2) div (2 + 1)) * (2 + 1)) div 2) div (((2 + 1) * 2) + 1)) + x) + 2)
A225804: 2 3 4 5 6 7 9 10 12 13 15 17 19 21 22 24
((((((((2 + 2) * 2) + x) * 2) * (2 + 1)) + (x div (((2 + 1) * 2) + 1))) + x) + 2)
A282112: 50 57 64 71 78 85 92 100 107 114 121 128 135 142 150 157
((((((((((2 - (x div 2)) mod (x + 1)) div 2) div 2) + x) * (2 + 1)) div 2) + 1) + x) div 2)
A194081: 0 1 3 4 5 6 8 10 11 13 14 15 17 18 19 20
(((((((2 + 2) + 1) * (x + 1)) * ((2 + 2) + 1)) div (((x + 1) * 2) + 1)) + x) + 2)
A188643: 10 13 14 16 17 18 19 20 21 22 23 25 26 27 28 29
(((((((((((2 + 2) * (x + 1)) - 1) * x) + 1) * (x + 1)) div 2) * 2) + 1) + x) * 2)
A199944: 2 36 142 376 778 1404 2294 3504 5074 7060 9502 12456 15962 20076 24838 30304
(((((x * 2) + 1) div (((((((x + 1) div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)) + x) + 2)
A198045: 2 3 5 6 7 8 9 11 12 13 15 17 19 20 21 23
(compr(\x.(2 - ((x + 1) mod ((((((x * 2) mod ((x div 2) + 2)) mod 2) * 2) * 2) + 1))),x) - 2)
A072836: 0 9 16 20 21 24 25 29 36 40 41 44 45 49 56 60
(((((((((2 + 2) * 2) * 2) * 2) - 1) * (x + 1)) div (((x + 2) * 2) + 1)) + x) - 2)
A025357-A000414: 4 7 10 12 13 15 16 18 19 20 21 22 23 25 26 27
((((((((x * 2) - (x mod (2 + 2))) div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + x) + 2)
A107912: 2 3 4 5 7 8 10 11 14 15 16 17 19 21 22 23
((((((((((x + 2) * 2) * 2) - (x mod 2)) + 1) * (x + 2)) div 2) div (2 + 1)) + x) div 2)
A294476: 1 3 6 9 14 18 25 30 38 44 54 61 72 81 93 103
(((((((((2 + 2) * (x + 1)) + x) * ((x * 2) - 1)) * x) div 2) div (2 + 1)) - x) div 2)
A212692: 0 0 6 22 54 106 184 292 436 620 850 1130 1466 1862 2324 2856
((((x * x) div (((((x mod (((2 + 2) * (2 + 1)) - 1)) + 1) + x) * 2) - 1)) + x) + 2)
A177989: 2 3 4 5 6 8 9 10 11 13 14 18 19 20 21 22
(((((((((x + 1) * x) div 2) + 2) * (x + 2)) div 2) div (((2 + 1) * x) + 1)) + x) - 2)
A060903: 0 0 1 3 4 6 8 11 13 16 19 22 25 28 31 35
(((((((((2 + 1) * x) + 2) * (2 + 1)) + (x div (2 + 1))) * 2) div (x + 1)) + x) div 2)
A190572: 6 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16
((((((2 + 2) * (2 + 1)) - 1) * x) * (x - ((2 - x) * 2))) + (((x - 1) * x) div 2))
A263227: 0 ~11 45 168 358 615 939 1330 1788 2313 2905 3564 4290 5083 5943 6870
((((((x - ((((x + 1) * x) + 1) div ((x div 2) + 2))) * (2 + 1)) div 2) div 2) + x) + 2)
A085883: 2 3 4 4 5 5 6 6 7 6 8 7 8 8 9 8
((((((((((x + 1) * 2) div ((2 + 2) + 1)) + 1) + 2) mod (x + 1)) + 2) div 2) + x) + 2)
A159973: 3 4 5 6 7 10 11 13 14 15 16 17 19 20 21 22
((((((((x - (((x + 1) div 2) mod (2 + 1))) * 2) div (2 + 1)) + x) + 2) * 2) + x) div 2)
A283768: 2 3 5 6 9 12 15 16 18 19 22 25 28 29 31 32
((((((x - ((((1 - x) * (x div 2)) div 2) div (2 + 1))) mod (2 + 1)) + x) div 2) + x) + 2)
A026457: 2 4 5 7 9 10 11 13 14 15 17 19 21 22 23 25
((((((((x div 2) - (((0 - x) * 2) div ((x div 2) + 1))) + x) + 2) + x) + 2) + x) + 2)
A135708: 6 11 15 19 23 27 30 34 38 41 45 48 52 55 59 62
(((((((((((x * x) mod (2 + 1)) + x) * (2 + 1)) div 2) + x) div 2) + x) div 2) + x) + 2)
A187688: 2 4 6 8 10 13 14 17 19 21 23 25 27 30 32 33
compr(\x.((x + 1) mod (((x div 2) mod ((x mod ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)),(x + 2))
A140297: 2 3 4 5 6 7 9 11 12 13 15 16 17 19 23 24
((((1 - ((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2)) * 2) - 1) mod (x + 2))
A083730: 1 1 1 4 1 1 1 4 9 1 1 4 1 1 1 4
(((((((2 + 1) * x) * ((2 + 2) + 1)) div (((x + 2) + 2) + 1)) + x) + 1) mod (x + 2))
A242374: 1 1 3 4 5 6 7 7 8 8 9 9 9 9 10 10
(((((((((((x * x) div (2 + 2)) + x) + 1) div 2) + 1) + x) + x) * x) + 1) div (x + 2))
A185549: 0 1 3 6 8 12 15 19 23 27 32 37 42 47 53 59
(((((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) * (x + 2)) * (x + 2))
A071378: 4 9 32 25 108 49 256 243 500 121 864 169 1372 1125 2048 289
((((x - ((((x div ((2 + 2) + 1)) + 2) * x) div (2 + 2))) mod 2) - (x mod 2)) mod (x + 2))
A055672: 0 0 1 4 0 6 0 8 0 0 0 12 0 14 0 0
((((x - ((0 - (((x * 2) + 1) mod ((x div (2 + 2)) + 2))) div 2)) div 2) + 1) + (x * 2))
A231407: 1 4 6
A285976: 1 4 6 9 11 14 16 18 21 24 26 29 31 34 37 39
((2 - ((((1 - x) mod (((x * 2) mod ((x div 2) + 1)) + 1)) + 1) mod (2 + 1))) + (x * 2))
A024806: 1 3 5 7 9 11 13 15 16 19 21 23 24 27 30 31
(((((((x + 1) div ((x div ((2 + 2) * 2)) + 2)) div 2) + 1) + (x mod 2)) div 2) + (x * 2))
A245239: 0 3 4 7 9 11 13 16 17 19 21 24 25 28 29 32
(((x mod (x - ((((x - (x mod ((x mod (2 + 2)) + 2))) div 2) mod 2) - 1))) + 1) + (x div 2))
A026202: 1 2 4 5 7 3 10 11 13 14 16 6 19 20 22 8
((((((((x * x) + 2) * x) div (((2 + 2) * 2) * 2)) + x) div (2 + 1)) + 1) + (x div 2))
A341912: 1 1 2 3 5 7 10 13 18 23 30 37 47 57 70 83
((((x mod (((((2 + 2) * (2 + 1)) - 1) mod (x + 1)) + 1)) div (2 + 1)) + 1) + (x mod 2))
A181801: 1 2 1 3 1 3 1 3 1 2 1 5 1 2 1 3
(((((((x div (2 + 1)) + 1) mod (2 + 1)) + (x div (2 + 1))) div (2 + 1)) + 1) - (x mod 2))
A287729: 1 0 1 1 2 1 1 0 1 1 2 1 3 2 3 1
((((((((2 + 2) * 2) * (x + 1)) mod ((x div 2) + 1)) + 2) div (2 + 1)) + 1) + (x mod 2))
A297770: 1 2 1 2 2 2 1 2 2 2 3 2 3 2 1 2
(((((((x mod 2) + 1) * (x + 1)) mod ((x div ((2 + 2) + 1)) + 1)) * 2) + 1) + (x mod 2))
A054716: 1 2 1 2 1 2 3 2 3 2 5 2 3 4 1 2
(((((x * x) mod (((((2 + 1) * x) div ((2 + 2) + 1)) * 2) + 1)) div 2) + 1) - (x mod 2))
A001314: 1 0 1 0 1 2 1 2 1 2 5 2 5 2 5 8
(2 div (((((x - 1) mod ((((x mod ((2 + 1) * 2)) + 2) * 2) + 1)) div 2) + 1) + (x mod 2)))
A108069: 0 1 2 0 1 0 2 0 0 0 0 0 2 0 0 0
(((((((x div (2 + 2)) + 1) * ((x mod 2) + 1)) mod ((2 + 2) + 1)) * 2) - 1) - (x mod 2))
A106576: 1 2 1 2 3 6 3 6 5 0 5 0 7 4 7 4
(((((x - ((((x mod (2 + 1)) + 1) * (x mod (2 + 1))) - 1)) div 2) div 2) + 1) - (x mod 2))
A029254: 1 0 0 1 1 0 2 1 1 2 3 1 4 3 3 4
((((((((x + 2) * x) div (2 - (x div ((0 - 2) - 2)))) + 1) mod 2) * 2) - 1) + (x mod 2))
A098381: 1 0 1 0 1 2 1 0 1 0 1 2 ~1 2 ~1 2
((((x - ((((((x + 1) div 2) div 2) div 2) * (x div (2 + 1))) div 2)) div 2) + 1) + (x mod 2))
A140828: 1 2 2 3 3 4 4 5 4 6 5 7 6 7 7 7
(((((((((2 + 2) * (2 + 1)) - 1) * 2) mod ((x div 2) + 2)) div 2) * 2) + 1) + (x mod 2))
A286579: 1 2 1 2 3 4 3 4 5 6 1 2 7 8 5 6
(((((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) + 2) - (x mod 2)) div 2) + 1) - (x mod 2))
A143232: 2 0 2 0 2 1 2 0 2 1 3 1 3 1 2 0
((((x + 1) div 2) div 2) - (((x div (((x div (2 + 1)) mod (2 + 1)) + 1)) mod 2) - (x mod 2)))
A103151: 0 0 0 1 1 2 1 3 2 2 2 3 3 4 2 4
(((((((((x * 2) - (x mod ((2 + 2) + 1))) + 1) * x) div 2) * (2 + 1)) - x) * x) div 2)
A151717: 0 1 7 22 52 190
((((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x * x) + 1) * x)) * (x * x)) div 2)
A245380: 0 1 22 153 624 1875 4626 9947 19328 34749 58750 94501 145872 217503 314874 444375
compr(\x.(1 - (x mod (((((x + 2) * (x + 1)) div 2) mod (((2 + 2) * (2 + 1)) - 1)) + 1))),x)
A045745: 1 2 3 4 5 6 7 11 13 14 16 17 18 19 23 24
compr(\x.(1 - ((x + 1) mod (((((2 + 1) * x) + 2) mod (((2 + 2) * (2 + 1)) - 1)) + 1))),x)
A138083: 0 1 2 4 5 6
A345167-A333489: 0 1 2 4 5 6 8 9 12 13 16 17 18 20 22 24
(((x div (((x - (((x * x) - 1) mod (((2 + 2) * 2) * 2))) mod (x + 1)) + 1)) + 1) + x)
A302175: 1 2 3 4 5 7 8 8 11 10 12 14 14 16 16 16
compr(\x.(1 - ((x * x) mod ((((x mod (2 + 2)) * x) mod ((((2 + 2) * 2) * 2) - 1)) + 1))),x)
A107040: 1 2 3 5 6 9 10 11 13 17 18 19 22 23 25 26
compr(\x.(1 - (x mod ((((((x mod (2 + 1)) * 2) + 1) * x) mod (((2 + 2) * 2) + 1)) + 1))),x)
A160685: 1 3 5 6 7 8 10 11 13 14 15 17 19 21 22 23
(((x div (((2 + 2) + 1) - (x mod (((x - 1) mod (((x div 2) + 2) + 2)) + 1)))) + 1) + x)
A307750: 1 2 3 4 5 7 8 9 10 11 13 14 15 17 19 23
compr(\x.(1 - (x mod (((((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1))),x)
A236217: 1 2 4 7 8 13 14 16 17 19 23 26 28 29 31 32
compr(\x.(((x - (((x mod (2 - ((1 - x) div (2 + 1)))) div (2 + 1)) - 1)) mod (2 + 1)) - 1),x)
A153763: 0 2 3 5 6 7 9 12 14 15 17 18 19 20 21 22
compr(\x.((1 - x) mod (((((((x mod 2) + x) * (x - 1)) div (2 + 1)) + 1) mod (2 + 1)) + 1)),x)
A325462: 1 3 4 5 7 9 12 13 15 16 17 19 21 22 23 25
compr(\x.((1 - x) mod (((((((x + 2) * x) * (2 + 2)) div (2 + 1)) + 1) mod (2 + 1)) + 1)),x)
A263488: 1 3 4 7 9 10 12 13 19 21 22 25 27 28 30 31
compr(\x.(((x - (((x mod (0 - ((x div ((2 + 2) + 1)) + 1))) mod 2) - 1)) mod (2 + 1)) - 1),x)
A003605: 0 2 3 6 7 8 9 12 15 18 19 20 21 22 23 24
compr(\x.(((((((((x div (2 + 1)) * (x - 1)) div 2) + 1) div 2) div 2) + 1) mod (2 + 1)) - 1),x)
A023760: 0 1 2 3 4 5 8 9 10 12 13 14 15 16 20 21
compr(\x.(1 - (x mod (((x mod (((x mod ((x mod (2 + 1)) + 2)) * 2) + 1)) mod (2 + 1)) + 1))),x)
A013660: 1 2 5 7 11
A177512: 1 2 5 7 11 13 17 19 23 25 29 31 37 41 43 47
(((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * ((((2 + 1) * 2) * (2 + 1)) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A118767: 0 1 2 3 4 5 6 7 8 9 29 49 69 89
compr(\x.(((((x + 1) div ((x div (((x mod 2) * (2 + 1)) + 2)) + 2)) + 2) mod (2 + 1)) - 1),x)
A026507: 1 2 3 4 5 6 7 8 10 12 14 16 18 19 20 22
((((((((((x * 2) * 2) + 1) * (2 + 1)) div (x + 2)) * 2) + x) div (2 + 1)) + 1) + x)
A168146: 1 5 7 9 11 13 15 16 17 19 21 22 23 25 26 27
(((((x div ((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) + 1)) + 1) mod (x + 1)) + 1) + x)
A275945: 1 2 3 4 5 6 7 8 9 11 13 15 17 19 20 22
compr(\x.((2 + 1) mod (((2 - ((x + 1) mod (((2 + 2) * (2 + 1)) - 1))) mod (x + 1)) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A292439-A215014: 0 1 2 3 4 5 6 7 8 9 10 12 21 23 32 34
compr(\x.(1 - (x mod (((((((x * x) * x) mod ((x + 2) + 2)) mod (2 + 1)) + 1) * 2) + 1))),x)
A035262: 1 2 4 5 8 9 10 11 13 16 17 18 19 20 22 23
compr(\x.(2 - ((((2 - (x mod 2)) * ((x * 2) + 1)) * (2 + 1)) mod (((2 + 1) * 2) + 1))),x)
A158850: 0 1 2 4 5 7 8 11 12 13 14 15 16 18 19 21
compr(\x.(1 - ((((x * x) - ((x * 2) mod ((2 + 2) + 1))) div 2) mod (((2 + 1) * 2) + 1))),x)
A114904: 1 3 4 5 6 7 8 9 10 11 14 16 17 19 20 21
(((((((x - (x mod (((2 + 1) * 2) + 1))) div 2) + 1) + (x div (2 + 1))) div 2) + 1) + x)
A050942: 1 2 3 5 6 7 8 11 12 13 14 15 17 18 21 22
(((((((((((x + 2) * x) div 2) + (x mod (2 + 1))) div 2) div 2) + x) + 1) div 2) + 1) + x)
A248638: 1 3 5 6 9 11 13 16 18 21 24 27 30 33 36 39
(((((((((((x * 2) + 1) * (x + 1)) + (x div 2)) div 2) div 2) + x) + 1) div 2) + 1) + x)
A024190: 1 3 6 9 13 17 22 27 33 39 46 53 60 69 77 86
((((x - (x div ((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) + 2))) div 2) + 1) + x)
A284955: 1 2 3 5 6 7 8 10 11 12 13 15 17 19 21 22
compr(\x.(2 - ((x + 1) mod ((((((x * 2) * 2) mod (((2 + 1) * 2) + 1)) * 2) * 2) + 1))),x)
A333909: 1 2 3 4 5 6 8 10 11 12 15 16 17 19 20 22
((((x - ((x mod (((((x div 2) div ((2 + 2) + 1)) + 2) * 2) + 1)) div 2)) div 2) + 1) + x)
A095976: 1 2 3 5 6 8 10 11 12 13 15 16 18 19 22 23
(((((x * 2) * 2) - (((x + 1) * 2) div ((((x div 2) div (2 + 1)) + 2) + 2))) + 1) + x)
A313543: 1 5 10 14 19 23 29 33 38 42 47 52 57 62 66 71
((((x div (((2 + 2) * (2 + 1)) + 1)) * (2 + 1)) * ((((2 + 2) * 2) * 2) + 1)) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A004863: 0 1 2 3 4 5 6 7 8 9 10 11 12 64 65 66
(((((x * 2) * (2 + 1)) * ((2 + 2) + 1)) + (x div ((((2 + 2) * 2) * 2) - 1))) - x)
A249079-A004942: 0 29 58 87 116 145 174 203 232 261 290 319 348 377 406 436
((((((x div ((2 + 2) * 2)) * (2 + 1)) * 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) + x)
A073789: 0 1 2 3 4 5 6 7 170 171 172 173 174 175 176 177
((((((((x * 2) + 1) * 2) * 2) + 1) * ((x * 2) + 1)) * (((2 + 2) * 2) + 1)) - x)
A156719: 45 350 943 1824 2993 4450 6195 8228 10549 13158 16055 19240 22713 26474 30523 34860
(((((x mod (((2 + 2) * (2 + 1)) - 1)) + 2) mod (x + 1)) * (((2 + 2) * 2) + 1)) + x)
A307560: 0 10 11 12 13 14 15 16 17 18 19 29 39 49 59 69
(((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) - 1) * (x div (((2 + 2) * 2) + 1))) + x)
A024656: 0 1 2 3 4 5 6 7 8 80 81 82 83 84 85 86
compr(\x.(1 - (x mod (((((x mod ((x mod (2 + 2)) + 2)) + 1) + (x mod (2 + 2))) * 2) - 1))),x)
A326537-A302798-A294472: 1 2 3 5 6 7 10 11 13 14 15 17 19 22 23 26
compr(\x.(2 - ((((x + 1) * 2) - (((x + 1) * 2) div ((2 + 2) + 1))) mod ((2 + 2) + 1))),x)
A026313: 0 1 3 4 6 7 10 13 14 16 17 19 20 22 23 25
((((x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) - 1)) * 2) * ((2 + 2) + 1)) + x)
A104341: 10 21 32 43 54 65 76 87 98
A095778: 10 21 32 43 54 65 76 87 98 109 110 111 112 113 114 115
(((((((((((2 + 2) * 2) * 2) * 2) + 1) * x) + 1) * 2) * 2) div ((2 + 2) + 1)) - x)
A169861: 0 26 51 77 102 127 153 178 204 229 254 280 305 331 356 381
((((((2 - (2 div ((x div 2) - ((2 + 2) * 2)))) * 2) * (2 + 1)) + 1) * (2 + 1)) + x)
A217923: 57 58 59 60 61 62 63 64 65 66 67 68 69 70 89 90
compr(\x.((((((x * x) * x) mod (((2 + 2) * (2 + 1)) + 1)) + 1) * (x + 1)) mod (2 + 1)),x)
A028726: 2 5 6 7 8 11
A028791-A028752: 2 5 6 7 8 11 14 15 17 18 19 20 21 23 24 26
compr(\x.(x - (((x mod (((x mod ((x mod 2) + 2)) + 1) * ((2 + 2) + 1))) + 2) * (2 + 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A305933-A030700: 0 1 2 3 4 5 6 7 8 9 11 12 13 14 19 23
((((((((2 + 2) * 2) + x) * ((x + 2) + 2)) * ((x + 2) + 1)) div 2) div (2 + 1)) * x)
A130863: 0 30 100 231 448 780 1260 1925 2816 3978 5460 7315 9600 12376 15708 19665
(((((x - (((1 - x) * (x * 2)) * ((x * 2) - 1))) * (x - 1)) * 2) * (2 + 1)) + x)
A272379: 0 1 86 759 3100 8765 19986 39571 70904 117945 185230 277871 401556 562549 767690 1024395
(((((((((((x div 2) mod 2) + x) div 2) * 2) div (2 + 1)) + 1) * 2) * 2) div (2 + 1)) + x)
A110086: 1 2 3 5 6 7 10 11 12 13 15 17 18 19 20 23
((((((((((x div 2) * x) div (2 + 2)) + x) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) - x)
A112213: 1 1 0 1 1 1 1 1 2 2 2 3 4 3 4 5
((((2 + 2) * (x + 1)) - ((((x div (((2 + 2) * 2) + 1)) - x) * 2) div (2 + 1))) + x)
A190060: 4 10 16 21 27 33 38 44 50 55 60 66 72 77 83 89
((compr(\x.(((x - (((x mod (2 + 2)) - (x div 2)) div (2 + 1))) mod (2 + 1)) - 1),x) + 1) - x)
A104406: 1 1 2 3 3 3 3 3 4 5 5 6 7 7 7 7
((compr(\x.(((1 - (x div ((x div ((2 - (x mod 2)) * 2)) + 2))) mod (2 + 1)) - 1),x) + 1) - x)
A287643: 1 1 1 1 1 1 2 3 4 5 6 7 7 7 8 8
((((((((1 - x) mod (2 + 1)) + 2) * 2) * (x + 1)) div (2 + 1)) + 1) + ((x + 1) * x))
A201874: 3 5 15 21 27 47 57 67 97 111 125 165 183 201 251 273
compr(\x.((((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1)) + 1) mod 2),x)
A095042: 1 2 4 5 7 8 9 10 14 16 18 19 20 25 28
compr(\x.(1 - ((x + 1) mod ((((x div ((2 + 2) * 2)) + x) mod ((x div (2 + 1)) + 1)) + 2))),x)
A029596: 0 2 3 4 6 7 8 9 10 12 13 14 15 16 18 21
compr(\x.(x - ((((1 - ((x + 1) mod (((2 + 2) * (2 + 1)) - 1))) mod (x + 1)) + 1) * 2)),x)
A119799: 0 1 2 3 4 12 13 14 15 16 17 18 19 20 23 24
compr(\x.(((x + 1) div (((((2 - x) mod (((x div (2 + 1)) + 2) + 1)) mod 2) * 2) + 1)) mod 2),x)
A064615: 1 5 6 7 11 13 17 19 23 25 29 30 31 35 36 37
(((((((((((x div 2) * x) div (2 + 2)) + 1) * (x + 1)) div 2) div 2) div 2) + 1) div 2) * x)
A308775: 0 0 0 0 4 5 12 21 40 54 90 121 180 234 322 405
(((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * ((((2 + 2) * 2) * 2) + 1)) div 2) + x)
A004836: 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 32
((1 - ((x - (((((x * x) * x) div (2 - ((x div 2) mod 2))) div 2) div (2 + 1))) div 2)) + x)
A272776: 1 2 3 5 6 9 22 33
(((((2 - (((2 div (x + 1)) - x) div ((2 + 2) + 1))) * 2) + (x div (2 + 1))) div 2) + x)
A096600: 2 3 5 6 7 8 11 12 13 14 15 17 19 20 21 22
compr(\x.((((x mod (((((x div 2) mod ((2 + 2) + 1)) + 2) * 2) + 1)) + 1) mod (x + 1)) - 2),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A334145-A130576-A084383-A072543-A009996: 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 30
((((((((((x mod 2) + x) - 1) div ((2 + 2) + 1)) * (x + 1)) div 2) + 1) div 2) div 2) + x)
A014155: 0 1 2 3 4 6 7 8 9 10 11 14 15 16 18 21
((((((x + 2) + 1) * x) div 2) * ((2 + 2) + 1)) div (((((2 + 2) + 1) * 2) * 2) + x))
A127032: 0 0 1 1 2 4 5 6 7 9 10 12 14 15 17 19
(((((2 - ((x div 2) div ((x mod (((2 + 2) + 1) * 2)) + 1))) * (2 + 1)) div 2) div 2) + x)
A319345: 1 2 3 4 5 6 7 8 9 10 7 11 12 13 14 15
(((((((((x div 2) * 2) div ((2 + 2) + 1)) * (x + 1)) + 2) div (2 + 1)) + 2) div 2) + x)
A243355: 1 2 3 4 5 6 8 9 10 12 15 16 17 19 20 21
((((((x + 1) * 2) - (((x mod ((x div ((2 + 2) * 2)) + 1)) + 1) * 2)) * 2) * 2) + x)
A178895-A114386: 0 9 18 27 36 45 54 63 72 73 90 91 108 109 126 127
(((((((((x - ((x div (2 + 1)) mod 2)) div 2) + 1) div 2) * (x + 1)) div 2) div 2) div 2) + x)
A067570: 0 1 2 3 4 5 7
A191917: 0 1 2 3 4 5 7 9 10 11 12 15 16 18 21 23
(((((((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) + x) * (x + 1)) div 2) div 2) div 2) + x)
A194162: 0 1 2 4 6 8 11 14 18 22 27 33 39 46 53 61
compr(\x.(2 - (x mod (((((x * 2) + 1) mod ((((x div 2) div (2 + 1)) + 2) + 2)) + 2) + 2))),x)
A053577: 2 3 4 5 6 7 8 11 12 13 14 16 17 19 23 24
((((((x * 2) * 2) - (((x - ((2 - (x div (2 + 2))) div 2)) div 2) div 2)) * 2) * 2) - x)
A188075: 4 15 30 45 56 71 86 101 112 127 142 157 168 183 198 209
((((((((2 + 2) * 2) * (x + 1)) - 1) * (x + 1)) div 2) - 1) div (((2 + 2) * 2) + x))
A050504: 0 1 3 5 8 10 13 16 19 23 26 29 33 36 40 44
(((((((((x div (2 + 2)) + x) + 2) * (x + 1)) div 2) div ((2 + 2) + 1)) + x) div 2) + x)
A219087: 0 1 3 5 7 9 12 14 17 20 22 25 29 32 35 38
(((((((((x + 2) * (x + 2)) div ((2 + 2) + 1)) mod (2 + 1)) + x) div 2) + x) + 2) + x)
A187475: 2 5 7 10 12 14 17 20 23 24 27 29 32 34 37 39
((((x - (((2 - (x div (2 + 1))) mod ((2 + 2) + 1)) - 1)) mod (2 + 1)) + (x * 2)) + x)
A201363: 2 3 7
A092293: 2 3 7 9 13 17 19 23 24 27 31 35 37 41 42 47
((((x - (((((1 - x) * x) div 2) - (x mod (2 + 1))) div (2 + 1))) div (2 + 1)) + x) + x)
A211273: 0 2 5 7 10 13 15 19 22 25 28 32 35 39 43 46
((0 - ((((((x + 1) div 2) * ((x div 2) + 1)) + 1) div (2 + 1)) * (2 + 1))) + (x * x))
A230276: 0 1 1 6 10 16 24 34 43 57 70 85 102 121 139 162
(((((((2 + 2) + 1) * x) * 2) * (((x + 2) * x) + 1)) + 1) + ((x * x) * (x * x)))
A090198: 1 42 197 562 1257 2426 4237 6882 10577 15562 22101 30482 41017 54042 69917 89026
(2 - loop(\(x,i).loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x)) + 2),2,x),1,(x + 1)))
A113680: 1 0 1 ~2 0 1 ~2 ~2 0 1 ~2 ~2 ~2 0 1 ~2
((if x <= 0 then 2 else loop(\(x,i).(loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x) + (x + 1)),x,1)) div 2)
A134310: 1 1 1 2 2 3 4 4 5 7 8 8 9 11 15 16
(if (x - 1) <= 0 then 1 else loop(\(x,i).(if x <= 0 then 1 else (loop(\(x,i).(i * x),i,(i + 1)) + (i * x))),(x - 1),0))
A203799: 1 1 1 8 48 312 2280 18720 171360 1733760 19232640 232243200 3033676800 42631142400 641383142400 10287038361600
loop(\(x,i).(x * x),1,loop(\(x,i).(((if x <= 0 then 1 else (x * 2)) - (x div (if i <= 0 then 1 else i))) * (2 + 2)),x,0))
A089156: 0 16 576 25600 1254400 65028096 3497066496 192980975616 10855179878400 619683355033600 35792910586740736 2087229562810269696 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(if x <= 0 then (loop(\(x,i).(i * x),(i - 1),1) + (i * x)) else 0),i,1) + (i * x)),x,0)
A208493: 0 0 1 3 18
A092691: 0 0 1 3 18 90 660 4620 42000 378000 4142880 45571680 586776960 7628100480 113020427520 1695306412800
((if (x mod ((2 + 2) * 2)) <= 0 then 1 else loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) + (if x <= 0 then 0 else 1))
A275723: 1 1 2 1 2 3 1 2 2 4 1 2 3 4 5 1
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),i,1)) * x),(x - 1),1))
A028368: 1 2 8 192 21504 10321920 20478689280 165140150353920 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else ((if (x mod 2) <= 0 then 1 else (if (x div 2) <= 0 then x else ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 2))) + 1))
A108053: 0 2 2 5 2 3 2 3 2 5 2 3 2 3 2 5
(if x <= 0 then 1 else loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(x + 2)),((x + 2) + 2),1))
A334391-A322274-A132077-A008365: 1 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71
(loop(\(x,i).(x * x),1,loop(\(x,i).(((if (i mod 2) <= 0 then i else 1) + 1) * x),x,1)) div loop(\(x,i).(x * 2),x,1))
A297470: 1 2 9 18 225 450 11025 22050 893025 1786050 108056025 216112050 18261468225 36522936450 4108830350625 8217660701250
loop(\(x,i).(x * x),1,(if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))))
A069549: 4 4 9 25 25 49 49 121 121 121 121 169 169 289 289 289
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then x else (x div 2))) div 2),1,(x - 1)))
A299783: 1 0 0 2 4 32 32 96
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,(i + 1)) + x),i,(x + 1)),i,1) + x),x,1)
A213164: 1 9 51 235 966 3702 13546 47994 166095 564679 1893285 6277677 20626588 67260540 217924068 702199684
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)) - x),x,1)
A228002: 1 3 33 367 4533 58971 794805 10983819 154653081 2209251319 31925528217 465708778407 6846750893929 101325729466071 1508015866093929 22553429144856471
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1) + x),i,1) - x),x,1)
A106188: 1 2 7 22 77 274 1001 3706 13871 52326 198627 757758 2902783 11158358 43019383 166275878
loop(\(x,i).(x div (2 - (x mod 2))),x,(compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x),x) + 1))
A188509: 1 1 3 1 5 7 1 9 13 15 1 17 25 29 31 1
loop(\(x,i).(x * x),2,(if x <= 0 then 1 else ((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),x,1)) + 1) + 2)))
A143026: 1 625 6561 4100625
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x - loop(\(x,i).((if x <= 0 then i else x) - 1),x,0)),(2 + 1),x)) div 2)
A120739: 0 0 1 2 7 14 30 60 127 254 510 1020 2046 4092 8188 16376
compr(\x.(if x <= 0 then 1 else loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2),x,x)),(x * 2))
A328012: 1 3 7 9 15 19 21 25 31 33 39 43 45 51 53 57
loop(\(x,i).(if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))),1,(x div 2))
A308052: 2 2 2 2 3 3 5 5 5 5 7 7 7 7 11 11
(loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).((if x <= 0 then 2 else 0) - 1),(x mod 2),(x div 2)))),x,(x + 1)) + x)
A119477: 1 2 4 3 6 5 5 4 8 7 7 6 7 6 6 5
(if x <= 0 then 0 else loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 2),2,x) div (i + 1)),2,x))
A277700: 0 1 1 2 1 1 2 3 1 2 1 3 2 1 3 4
(loop(\(x,i).(if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))),2,x) - x)
A105161: 3 2 3 4 3 6 5 6 5 4 3 6 5 6 5 4
compr(\x.loop(\(x,i).(if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),2,x) + 2)),2,x),x)
A043687: 2 4 5 6 8 9 11 12 13 14 16 17 19 23 24 25
(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (if x <= 0 then 2 else (0 - 1)) else ((x div 2) + 1)))),x,x) + x)
A061313: 0 1 3 2 5 4 4 3 7 6 6 5 6 5 5 4
(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((if (2 - x) <= 0 then x else 0) + 2)))),x,x) + x)
A089263: 0 0 1 ~1 2 ~1 0 ~1 3 ~1 0 ~1 1 ~1 0 ~1
loop(\(x,i).(x - i),x,loop(\(x,i).(i + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),0))
A161624: 3 5 12 22 56 76 132 162 240 390 441 637 783 855 1023 1311
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x div 2) * x),1,loop(\(x,i).((x * 2) - 1),x,0)))
A083315: 1 4 19 97 505 2629 13609 69997 357985 1822309 9241849 46731997 235754065 1187152789 5969306089 29980723597
(loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A134064: 1 2 6 23 96 407 1716 7163 29616 121487 495276 2009603 8124936 32761367 131834436 529712843
(if x <= 0 then 1 else loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),x,0))
A229127: 1 9 171 2439 30951 368559 4217031 46953279 512579511 5513215599 58618940391 617570463519 6458134171671 67123207545039 694108867905351 7146979811148159
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) + loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A081670: 1 4 14 46 150 494 1652 5618 19430 68302 243804 882578 3235596 11994922 44899568 169466426
(if x <= 0 then (x * 2) else (loop(\(x,i).((2 + 2) * (x - 1)),x,2) - loop(\(x,i).(((2 + 1) * x) + 2),x,0)))
A120664: 0 2 4 18 92 442 2004 8738 37132 155082 640004 2619058 10653372 43144922 174174004 701478978
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) + loop(\(x,i).((if x <= 0 then 1 else x) * 2),x,0))
A141353: 1 3 6 13 30 74 196 557 1686 5374 17820 60834 212108 751092 2690824 9727613
((2 + 1) - loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((x - i) * x),2,(x - 2)) * x),1,(x - 1)) + x),x,0))
A219010: 3 123 28143753123 4611686018427387903
loop(\(x,i).((loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i),1) div 2) + x),x,0)
A135482: 0 1 3 11 43 555 2603 35371 166443 2263595 136481323 673352235 35033090603 584788904491 2783812160043 37968184248875
loop(\(x,i).(x * 2),x,((loop(\(x,i).(((2 + 1) * x) - 1),x,2) * loop(\(x,i).((x + 1) * 2),x,0)) + 1))
A019490: 1 22 340 4600 58576 724192 8822080 106672000 1284971776 15449370112 185571742720 2227940915200 26741787774976 320940501164032 3851520569589760 46219655242547200
loop(\(x,i).(x * 2),(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) + 1)),1)
A344110: 1 1 2 1 4 16 1 8 64 512 1 16 256 4096 65536 1
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * ((2 + 2) + 1)) else 1)
A040414: 20 1 5 1 40 1 5 1 40 1 5 1 40 1 5 1
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((2 + 2) * 2) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1)) else 1)
A040590: 24 1 3 1 48 1 3 1 48 1 3 1 48 1 3 1
(if (x mod ((2 + 2) + 1)) <= 0 then ((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (2 + 1)) else 1)
A010208: 12 1 1 1 1 3 1 1 1 1 24 1 1 1 1 3
(if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * 2) * (2 + 1)) else 1)
A040577: 24 1 1 6 1 1 48 1 1 6 1 1 48 1 1 6
(((loop(\(x,i).(loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 2),2,(x + 1)) + 2) mod (2 + 1)) - 1)
A110247: 1 0 1 0 1 1 0 1 ~1 1 0 1 ~1 0 1 0
(((loop(\(x,i).((2 + 1) * x),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2) div (2 + 1)) + 1)
A341359-A125311: 1 1 1 1 1 2 1 1 2 5 1 1 2 5 14 1
(loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,((x * 2) * (2 + 1))) - 1)
A141427: 1 4 10 16 22 28 30 40 46 52 58 60 70 72 82 88
loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),1,(((x * 2) * (2 + 1)) + 1))
A067774: 2 7 13 19 23 31 37 43 47 53 61 67 73 79 83 89
(loop(\(x,i).((x + 1) * 2),x,0) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))
A225101: 0 1 2 7 6 31 18 127 170 511 186 2047 630 8191 10922 32767
(loop(\(x,i).(x * x),(2 + 1),((x * 2) + 1)) div loop(\(x,i).(x * x),(2 + 1),((if x <= 0 then 2 else 1) + 1)))
A219091: 0 25 1525 22518 168151 837339 3186448 10011291 27249052 66342043 147745544 305902286 596046447 1103240376 1954087550 3331605615
loop(\(x,i).(loop(\(x,i).(i * x),i,1) + x),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1),1)
A236399: 2 4 34 874 4037914 522956314 22324392524314 6780385526348314 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + 1) * (loop(\(x,i).(x * 2),x,1) + 1))
A034661: 6 39 455 6813 112931 1956669 34591115 617285253 11064693731 198756808749 3574014537275 64300154115093 1157115988280531 20825519793796029 374836322743499435 4611686018427387903
loop(\(x,i).(x * x),1,(loop(\(x,i).(((2 + 1) * x) - 1),(x - 1),1) - loop(\(x,i).(x * 2),(x - 1),1)))
A129839: 0 0 0 1 36 625 8100 90601 933156 9150625 87048900 812307001 7486748676 68447640625 622473660900 5641104760201
((if x <= 0 then 0 else (loop(\(x,i).((x * 2) * (2 + 1)),(x - 1),1) + loop(\(x,i).((2 + 1) * x),x,1))) + 1)
A275100: 1 5 16 64 298 1540 8506 48844 286498 1699300 10136746 60643324 363328498 2178376660 13065476986 78378513004
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + 1) * (loop(\(x,i).((2 + 1) * x),x,1) + 1))
A034660: 6 28 210 2044 22386 257908 3037530 36130444 431733666 5170140388 61978939050 743375541244 8918294543346 107006334784468 1283997101947770 15407492847694444
(x - (loop(\(x,i).(x * 2),x,(loop(\(x,i).(i * x),x,1) - loop(\(x,i).(((i * 2) - 1) * x),x,1))) - 1))
A320329: 1 2 7 76 1301 26406 619207 16652168 508596489 17457431050 666726681611 28076838451212 1293333060096013 64713740778086414 3495868307630899215 4611686018427387903
(x - (loop(\(x,i).(loop(\(x,i).(x - ((loop(\(x,i).((2 + 1) * x),i,1) - x) - 1)),i,1) + x),x,1) - 1))
A298564: 0 1 10 53 218 789 2658 8581 26986 83477 255506 776709 2350554 7092565 21359554 64242437
((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (if ((x div 2) - 2) <= 0 then 1 else 2)) + 1) div 2) + 1)
A273673: 1 1 2 1 2 2 1 2 3 4 1 2 3 4 5 1
(((loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),i,(x + 2)),x,1) div (2 + 1)) * 2) + 1)
A323703: 1 3 3 5 7 9 11 13 15 19 21 25 27 29 31 35
(((loop(\(x,i).compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),2,x) + 1) * 2) + 1)
A104294: 3 5 7 13 17 23 29 37 47 53 67 73 79 89 103 113
(if (x mod (2 + 1)) <= 0 then 1 else (((loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then x else 1),2) mod (x + 1)) div 2) + 1))
A073300: 1 1 2 1 2 3 1 3 5 1 2 3 1 3 5 1
((compr(\x.loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x),(x + 1)) * 2) + 1)
A084468: 7 11 13 19 21 25 35 37 41 49 67 69 73 81 97 131
(if (x mod 2) <= 0 then (((if ((x div 2) mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010199: 11 1 4 1 22 1 4 1 22 1 4 1 22 1 4 1
(if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040290: 17 1 1 4 1 1 34 1 1 4 1 1 34 1 1 4
(if (x mod (2 + 1)) <= 0 then ((((if (x mod 2) <= 0 then (2 + 2) else 1) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A010225: 13 1 1 8 1 1 26 1 1 8 1 1 26 1 1 8
(if (x mod 2) <= 0 then (((((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * 2) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040303: 17 1 10 1 34 1 10 1 34 1 10 1 34 1 10 1
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((((2 + 2) * 2) * 2) + 1) else 2) * (if x <= 0 then 1 else 2)) else 1)
A040300: 17 1 4 1 34 1 4 1 34 1 4 1 34 1 4 1
(((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)) div 2) + 1)
A196836: 2 5 15 50 177 650 2445 9350 36177 141170 554325 2186750 8656377 34355690 136617405 544061750
(((((compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then i else x) - 1),x,0),2,x),(x + 1)) * 2) + 1) * 2) * 2) - 1)
A224380: 11 19 27 35 51 59 67 99 115 123 131 195 227 243 251 259
(if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2) * 2) else 1)
A040413: 20 1 4 1 40 1 4 1 40 1 4 1 40 1 4 1
(((loop(\(x,i).(((x * 2) - 1) * x),1,(loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x) + 1)) div 2) div 2) + 1)
A096744: 1 1 1 1 1 1 1 3 1 1 1 6 3 1 1 1
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * ((2 + 2) * 2)) else 1)
A040595: 24 1 8 1 48 1 8 1 48 1 8 1 48 1 8 1
(if x <= 0 then 1 else (((loop(\(x,i).(loop(\(x,i).((x * x) - 2),(x mod (2 + 1)),x) + 1),x,2) div 2) * 2) + 1))
A016043: 1 3 5 15 17 255 257 65535 65537 4294967295 4294967297 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,((loop(\(x,i).((if x <= 0 then 1 else ((x * 2) * 2)) + 2),(x div 2),(x mod 2)) * 2) + 1))
A266976: 1 6 28 104 464 1696 7488 27264 120064 436736 1922048 6989824 30756864 111845376 492126208 1789558784
(x - (if x <= 0 then 0 else ((x mod (loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),2) + 2)) - 1)))
A206773: 0 1 1 1 1 1 1 5 1 1 1 11 1 1 1 13
((if x <= 0 then 1 else (loop(\(x,i).((x div ((i mod 2) + 2)) + x),x,2) + loop(\(x,i).(x * 2),x,1))) + (2 + 1))
A342761: 4 7 10 15 25 43 79 147 283 547 1075 2115 4195 8323 16579 33027
loop(\(x,i).(x * x),1,((loop(\(x,i).(x * x),2,loop(\(x,i).((i + x) * x),(x * 2),2)) div 2) div (2 + 1)))
A066545: 4 782757789696 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,compr(\x.loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),x)) div 2) div (2 + 1))
A242089: 0 0 0 2 10 16 32 42 66 112 130 192 240 266 322 416
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((loop(\(x,i).((x + 1) * x),2,2) + 1) * x) + 1)),x,(2 + 1))
A037119: 3 130 65 2796 1398 699 30058 15029 646248 323124 161562 80781 3473584 1736792 868396 434198
(loop(\(x,i).loop(\(x,i).(x * 2),loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1),1),x,2) - 1)
A144964: 1 3 31 16383 4398046511103 4611686018427387903
(loop(\(x,i).loop(\(x,i).(x * 2),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A098773: 9 25 161 897 22529 106497 2228225 9961473 192937985 15569256449 66571993089 5085241278465 90159953477633 378231999954945 6614661952700417 477381560501272577
(loop(\(x,i).loop(\(x,i).(x * 2),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A099051: 7 23 159 895 22527 106495 2228223 9961471 192937983 15569256447 66571993087 5085241278463 90159953477631 378231999954943 6614661952700415 477381560501272575
loop(\(x,i).((2 + 1) * x),x,((loop(\(x,i).(((x * 2) + 1) * 2),x,2) - loop(\(x,i).(x * 2),x,2)) + 1))
A017954: 1 21 315 4185 52731 648081 7869555 94992345 1143260811 13739265441 164992058595 1980630120105 23771914474491 285289093487601 3423625845396435 41084450500377465
loop(\(x,i).(x * x),1,((compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) * 2) + 1))
A062532: 1 81 225 441 625 729 1089 1225 1521 2025 2401 2601 3025 3249 3969 4225
((loop(\(x,i).(if (loop(\(x,i).(x * x),(2 + 2),2) mod (x + 1)) <= 0 then x else (x + 1)),(x div 2),x) * 2) + 1)
A290649: 1 3 7 7 13 15 15 15 25 27 31 31 31 31 31 31
loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)),1,(loop(\(x,i).(x * 2),x,2) - ((x + 2) + 1)))
A036295: 0 1 1 11 13 57 15 247 251 1013 509 4083 4089 16369 2047 65519
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),(x * 2),1))
A061548: 1 3 35 231 6435 46189 676039 5014575 300540195 2268783825 34461632205 263012370465 8061900920775 61989816618513 956086325095055 7391536347803839
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074543: 3 17 121 953 7873 66857 578161 5063033 44726593 397498697 3547251601 31743858713 284606322913 2554926530537 22955156635441 206361317111993
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074570: 3 21 161 1305 10913 92841 797681 6896505 59889473 521900361 4561574801 39975188505 351165790433 3091688751081 27275107401521 241076577925305
(loop(\(x,i).(((x * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074546: 3 19 149 1249 10673 91849 793649 6880249 59824193 521638729 4560527249 39970996249 351149017313 3091621650409 27274838982449 241075504216249
(loop(\(x,i).(x * x),1,loop(\(x,i).(((if (i mod 2) <= 0 then (2 + 2) else 1) + 1) * x),x,1)) * ((x mod 2) + 1))
A083227: 1 8 100 800 10000 80000 1000000 8000000 100000000 800000000 10000000000 80000000000 1000000000000 8000000000000 100000000000000 800000000000000
loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x mod 2) + 1)))
A092266: 1 4 4 16 36 144 400 1600 4900 19600 63504 254016 853776 3415104 11778624 47114496
loop(\(x,i).(x * 2),x,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x mod 2) + 1)))
A304940: 1 4 8 32 96 384 1280 5120 17920 71680 258048 1032192 3784704 15138816 56229888 224919552
(((if x <= 0 then 2 else compr(\x.(1 - loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x)),x)) * 2) + 1)
A294091: 5 11 27 35 59 75 83 107 123 147 179 195 203 219 227 275
(loop(\(x,i).loop(\(x,i).(i + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2),x),x,2) + 1)
A085739: 3 9 24 52 118 209 362 552 828 1263 1759 2462 3323 4269 5397 6828
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) * loop(\(x,i).(((x * 2) * 2) - 1),x,1))
A124862: 1 6 66 860 11970 172116 2523444 37487736 562303170 8496977060 129153866556 1972531074696 30245473774516 465314970745800 7179145222818600 111037445957810160
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),x,1))
A016320: 1 22 348 4856 63728 808416 10050496 123402112 1503194880 18217295360 220039199744 2651923642368 31914709676032 383709523861504 4610378348347392 55371452676276224
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074566: 3 18 116 792 5648 41568 312896 2393472 18522368 144557568 1135256576 8956925952 70913036288 562883616768 4476679110656 35655630815232
(loop(\(x,i).(i + x),x,(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x)) - 1)
A326714: 0 2 3 8 10 16 21 31 36 46 55 68 78 92 105 124
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1) + x),i,x) + 1),x,1)
A119683: 1 4 12 34
A014143: 1 4 12 34 98 294 919 2974 9891 33604 116103 406614 1440025 5147876 18550572 67310938
((((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1) * (if x <= 0 then 1 else 2)) + x) + 1)
A087711: 2 4 5 8 7 8 11 10 11 14 13 18 17 16 17 22
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A016277: 1 13 123 1049 8603 69489 557971 4470073 35779755 286296065 2290543619 18324876297 146600596507 1172809538641 9382490625267 75059967983321
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074556: 3 17 109 755 5473 40787 309529 2379275 18463393 144315107 1134267049 8952908795 70896790513 562818102227 4476415458169 35654571422315
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074560: 3 20 154 1268 10738 92060 794314 6882308 59830498 521657900 4560585274 39971171348 351149544658 3091623236540 27274843749034 241075518532388
loop(\(x,i).(x * 2),x,loop(\(x,i).(((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1))
A140406: 1 56 1792 43008 860160 15138816 242221056 3598712832 50381979648 671759728640 8598524526592 106309030510592 1275708366127104 14915974742409216 170468282770391040 1909244767028379648
loop(\(x,i).(x * 2),x,loop(\(x,i).((((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1))
A173155: 1 48 1344 28672 516096 8257536 121110528 1660944384 21592276992 268703891456 3224446697472 37520834297856 425236122042368 4710307813392384 51140484831117312 545498504865251328
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),x,1))
A016317: 1 20 284 3520 40656 450240 4851904 51315200 535521536 5534172160 56773377024 579187015680 5883496124416 59567968993280 601543751942144 6062350015528960
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),x,1))
A018092: 1 24 405 5940 81081 1061424 13533885 169579980 2099526561 25775439624 314535422565 3821496571620 46281602898441 559192032726624 6744619579010445 81244271639092860
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * 2)),x,1)
A016282: 1 11 83 535 3171 17871 97483 520055 2731091 14179231 72992283 373347975 1900290211 9635660591 48715157483 245723238295
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A016291: 1 15 163 1587 14779 135027 1223371 11042979 99517627 896182419 8067737899 72618027651 653595799195 5882496402291 52943004475147 476489187727203
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((0 - x) * (2 + 1)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A249994: 1 3 19 63 307 1095 4843 18111 76483 294327 1213147 4747119 19308979 76282599 308006731 1223430687
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A000453: 1 10 65 350 1701 7770 34105 145750 611501 2532530 10391745 42355950 171798901 694337290 2798806985 11259666950
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2) * x) - loop(\(x,i).((x * 2) * 2),x,1))
A068552: ~1 0 8 56 304 1496 6992 31664 140384 613016 2646544 11325200 48122528 203306736 854829344 3579783776
loop(\(x,i).(x * 2),x,loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),x,1))
A016307: 1 18 232 2640 28336 295008 3020032 30620160 308720896 3102325248 31113951232 311683706880 3120102240256 31220613439488 312323680632832 3123942083788800
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x * 2)),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A002041: 1 6 35 180 921 4626 23215 116160 581141 2906046 14531595 72659340 363302161 1816516266 9082603175 45413037720
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A016273: 1 10 69 410 2261 11970 61909 315850 1598421 8050130 40425749 202656090 1014866581 5079099490 25409813589 127092049130
loop(\(x,i).(x * x),1,loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)))
A038544: 1 3025 25502500 250500250000 2500500025000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod (2 + 2)) <= 0 then 1 else x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A177863: 1 2 1 6 10 1 1 18 22 1 30 1 1 42 46 1
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A076009: 1 54 2025 65610 1974861 57041334 1607609025 44625100770 1226874595221 33521945231214 912229968911625 24758714599712730 670798674525559581 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (2 + 1)),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A075916: 1 36 900 19440 390096 7511616 141134400 2611802880 47870735616 871982724096 15819463296000 286235993272320 5170077903015936 93275375604350976 1681524519443251200 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A076003: 1 48 1600 46080 1232896 31653888 792985600 19566428160 478167433216 11613323132928 280917704704000 6777200695050240 163215697915150336 3926183399462535168 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A075911: 1 30 625 11250 188125 3018750 47265625 728906250 11133203125 168996093750 2554931640625 38523925781250 579858642578125 8717878417968750 130968170166015625 1966522521972656250
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),x,1)
A016278: 1 14 145 1370 12541 113534 1023865 9221090 83008981 747138854 6724424785 60520350410 544684739821 4902167424974 44119521140905 397075733249330
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A074527: 3 10 38 160 722 3400 16418 80440 397442 1973320 9825698 49007320 244676162 1222305640 6108314978 30531959800
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1))
A135160: 1 6 30 144 690 3336 16290 80184 396930 1972296 9823650 49003224 244667970 1222289256 6108282210 30531894264
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A135159: 1 4 20 106 560 2914 14960 76066 384320 1933954 9707600 48653026 243613280 1219116994 6098749040 30503261986
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1))
A135158: ~1 0 12 90 528 2850 14832 75810 383808 1932930 9705552 48648930 243605088 1219100610 6098716272 30503196450
loop(\(x,i).((x * 2) * 2),(x + 1),(loop(\(x,i).(((2 + 2) + 1) * x),x,2) + loop(\(x,i).(x * 2),x,1)))
A212596: 12 192 3456 66048 1296384 25731072 513048576 10248388608 204867108864 4096536870912 81924294967296 1638434359738368 32768274877906944 655362199023255552 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),i,(x * 2)),x,1)
A051357: 1 6 180 37800 87318000 2622159540000 1338638666765400000 4611686018427387903 4611686018427387903 4611686018427387903
(2 - loop(\(x,i).((x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) + (if (x - 2) <= 0 then 1 else 2)),1,(x + 1)))
A194880: 0 ~1 ~1 ~4 ~5 ~2 ~7 ~8 ~3 ~10 ~11 ~4 ~13 ~14 ~5 ~16
(loop(\(x,i).((loop(\(x,i).(0 - (loop(\(x,i).(x * 2),x,2) mod (x + 1))),2,x) + x) + 2),x,1) + (x + 1))
A066614: 2 5 8 12 20 23 33
(loop(\(x,i).(x * x),1,loop(\(x,i).(((2 + 1) * x) - (1 mod loop(\(x,i).(x * x),x,2))),x,1)) + (x + 1))
A324126: 2 6 28 200 4611686018427387903
loop(\(x,i).(i * x),x,(loop(\(x,i).(((loop(\(x,i).(i * x),i,1) + x) * (i + 1)) + x),x,1) * (x + 1)))
A129460: 1 10 156 3696 125280 5780160 349090560 26760222720 2540101939200 292579402752000 40213832085504000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),x,1),(x div 2),(loop(\(x,i).(x * x),(2 + 1),((x mod 2) + 2)) mod (x + 1)))
A264933: 0 1 2 2 4 256 4611686018427387903
compr(\x.loop(\(x,i).(if x <= 0 then (2 + 1) else (loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2)),(2 + 1),x),(x + 1))
A014311: 7 11 13 14 19 21 22 25 26 28 35 37 38 41 42 44
(loop(\(x,i).(x - (loop(\(x,i).(x - (if x <= 0 then 0 else ((i div (2 + 1)) + 1))),x,x) - 1)),2,x) + (x + 1))
A184410: 3 5 8 11 12 15 16 20 21 25 26 27 31 32 33 38
(if ((if x <= 0 then 1 else x) mod ((2 + 2) * 2)) <= 0 then (x - 2) else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A341042: 1 1 3 1 5 3 7 1 6 5 11 3 13 7 15 1
(loop(\(x,i).(x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))),x,x) + 1)
A323075: 1 2 3 3 5 3 7 5 7 3 11 7 13 5 11 7
loop(\(x,i).(loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),(i - 1),1) + x),x,1)
A072100: 1 2 3 5 8 14 24 44 79 149 275 527 989 1913 3629 7061
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) - 1) * x),1,loop(\(x,i).((x * 2) * 2),(i - 1),1)) * x),x,1)
A053291: 1 3 180 181440 2961100800 775476766310400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074534: 3 13 69 415 2673 17863 121809 840055 5830593 40616263 283524849 1981523095 13858068513 96956127463 678491524689 4748635284535
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A001579: 3 14 70 368 2002 11144 63010 360248 2076802 12050504 70290850 411802328 2421454402 14282991464 84472462690 500716911608
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A074537: 3 13 65 349 1937 10933 62345 358189 2070497 12031333 70232825 411627229 2420927057 14281405333 84467696105 500702595469
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A074563: 3 17 105 701 4977 36917 281865 2191661 17233377 136432997 1084556025 8642957021 68980394577 551043625877 4404418462185 35215963408781
(loop(\(x,i).(((x * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A074539: 3 15 93 645 4737 35925 277833 2175405 17168097 136171365 1083508473 8638764765 68963621457 550976525205 4404150043113 35214889699725
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A074554: 3 17 115 881 7267 62417 547795 4863281 43443907 389393297 3496609075 31430064881 282674208547 2543088125777 22882900753555 205921664021681
(1 - loop(\(x,i).((1 - ((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (i * x))) + 1) div (2 + 1))) + x),x,1))
A218599: 0 0 0 1 0 2 1 0 4 3 2 1 0 8 7 6
(loop(\(x,i).((((x + 2) + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,1))
A084869: 1 2 5 17 71 317 1415 6197 26591 112157 466775 1923077 7863311 31972397 129459335 522571157
((loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,(2 + 1)) + 1)) div 2) - loop(\(x,i).((2 + 1) * x),x,1))
A083330: 1 4 17 73 311 1309 5447 22453 91871 373789 1514327 6115333 24636431 99073069 397878407 1596280213
((loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).(x * 2),x,1) + 1)) div 2) - loop(\(x,i).((2 + 1) * x),x,1))
A220788: 0 1 4 16
A133789: 0 1 4 16 70 316 1414 6196 26590 112156 466774 1923076 7863310 31972396 129459334 522571156
loop(\(x,i).((if x <= 0 then 1 else ((if (x - 1) <= 0 then (i * x) else (((x * x) * x) * (x * x))) - 1)) + x),x,1)
A112980: 1 1 2 33 39135425 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),i,1)) * x),x,1)
A028682: 1 380 60648000 3880986816000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),i,1)) * x),x,1)
A028677: 1 210 10584000 120522654000000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),i,1)) * x),x,1)
A028680: 1 306 32023512 1089004102288704 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),i,1)) * x),x,1)
A028686: 1 552 182822400 34935377382604800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) + x),x,1)
A024525: 1 5 14 39 88 209 378 667 1028 1557 2398 3359 4728 6409 8258 10467
loop(\(x,i).(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) * x),x,1)
A061742: 1 4 36 900 44100 5336100 901800900 260620460100 94083986096100 49770428644836900 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),i,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) + x),x,1)
A112044: 1 5 17 57 169 521 1353 3529 8393 20169 49865 113353 264905 600777 1305289 2845385
loop(\(x,i).(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),i,1) + x),x,1)
A023538: 1 4 10 21 39 68 110 169 247 348 478 639 837 1076 1358 1687
loop(\(x,i).(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + (x + 1)),i,1) - x),x,1)
A073738: 1 2 4 7 11 18 24 35 43 58 72 89 109 130 152 177
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),i,1)) * x),x,1)
A028676: 1 182 6956040 52356666223680 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1)) + x),x,1)
A167892: 1 5 30 226 1990 19414 203455 2248355 25887399 307993015 3763786811 47032778955 598933188955 7751562502555 101741582076580 1351906409905480
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),i,1)) * x),x,1)
A028675: 1 156 4429152 21368939889024 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1)) * x),x,1)
A028673: 1 110 1597200 2827411356000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),i,1)) * x),x,1)
A028679: 1 272 22639104 546341708980224 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),i,1) + x),x,1)
A143293: 1 3 9 39 249 2559 32589 543099 10242789 233335659 6703028889 207263519019 7628001653829 311878265181039 13394639596851069 628284422185342479
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2)) + x),x,1)
A115257: 1 5 41 441 5341 68845 922621 12701245 178338145 2542242545 36677022081 534311328705 7846771001041 116019251361041 1725360846921041 25786805857871441
loop(\(x,i).(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),i,2) + x),x,1)
A217723: 1 7 37 247 2557 32587 543097 10242787 233335657 6703028887 207263519017 7628001653827 311878265181037 13394639596851067 628284422185342477 4611686018427387903
loop(\(x,i).((x + 1) * x),1,(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1))
A024701: 2 6 12 30 42 72 90 132 210 240 342 420 462 552 702 870
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) - 1) * 2)),i,1) + x) + x),x,1)
A168584: 1 7 41 215 1041 4767 21001 90055 378881 1572527 6463161 26375895 107081521 433076287 1746588521 7029269735
loop(\(x,i).((if (x mod (i + 1)) <= 0 then (loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)) else x) + x),x,1)
A018325: 1 2 4 47 94 188
((if (x - 1) <= 0 then x else loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),x,x)) + 1)
A024521: 1 2 6 11 18 29 42 59 78 101 130 161 198 239 282 329
loop(\(x,i).(loop(\(x,i).(((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1),1,i) + x),x,1)
A080277: 1 4 5 12 13 16 17 32 33 36 37 44 45 48 49 80
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,x) div (2 + 1)) + x),1,i) + x),x,1)
A027660: 1 4 11 26 56 112 210 372 627 1012 1573 2366 3458 4928 6868 9384
loop(\(x,i).(loop(\(x,i).((x + 2) * x),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i)) * x),x,1)
A318766: 1 3 24 576 27648 3317760 557383680 160526499840 57789539942400 30512877089587200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x * x),loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,x),x,1))
A247859: 1 2 32 5120 9175040 197300060160 53337309063413760 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1))
A054340: 1 40 880 14080 183040 2050048 20500480 187432960 1593180160 12745441280 96865353728 704475299840 4931327098880 33381291130880 219362770288640 1403921729847296
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A139641: 1 35 735 12005 168070 2117682 24706290 271769190 2853576495 28852829005 282757724249 2699051004195 25191142705820 230595844768660 2075362602917940 18401548412539068
((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).((x * 2) * 2),(x div 2),(1 - (if x <= 0 then 2 else 0)))) * 2)
A032087: 4 6 24 120 480 2016 8064 32640 130560 523776 2095104 8386560 33546240 134209536 536838144 2147450880
(loop(\(x,i).((x * 2) * 2),x,((if x <= 0 then 2 else (if (x mod 2) <= 0 then (2 + 2) else ((0 - 2) - 1))) + 1)) div 2)
A091104: 1 ~4 40 ~64 640 ~1024 10240 ~16384 163840 ~262144 2621440 ~4194304 41943040 ~67108864 671088640 ~1073741824
(loop(\(x,i).(x * 2),x,((loop(\(x,i).(((2 + 1) * x) - 1),x,2) + loop(\(x,i).(x * 2),x,1)) + 1)) div 2)
A266797: 2 8 38 200 1112 6368 37088 218240 1292672 7689728 45874688 274196480 1640978432 9829081088 58907353088 353175633920
(if (x mod (2 + 1)) <= 0 then (if (x mod 2) <= 0 then (((((2 + 1) * 2) + 1) * 2) * (if x <= 0 then 1 else 2)) else 1) else 2)
A040193: 14 2 2 1 2 2 28 2 2 1 2 2 28 2 2 1
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((x + 1) * 2),(x * 2),2)) - 1)) * 2)
A167440: 2 724 30248 1028176 33390752 1072431424 34349253248 1099427742976 35183701002752 1125894538138624 36028754069301248 1152921161009483776 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((loop(\(x,i).(x * 2),(x - 1),(if (x mod (2 + 1)) <= 0 then 1 else 2)) + 1) div (2 + 1)) * 2))
A087628: 1 2 2 2 10 22 22 86 170 170 682 1366 1366 5462 10922 10922
(((compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),2,x),x) * 2) + 1) * 2)
A079702: 14 26 34 38 62 74 86 94 118 122 134 142 146 158 194 202
((loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,(x * 2)) mod (x + 1)) * 2)
A303603: 0 0 0 2 4 2 8 10 8 14 16 14 20 18 16 26
loop(\(x,i).(loop(\(x,i).(x * x),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i)) * x),(x + 1),2)
A307124: 2 8 128 4608 460800 66355200 16986931200 5503765708800 2663822603059200 2088436920798412800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).(x * x),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x - 1),2)))
A284494: 1 4 4 16 100 784 7056 69696 736164 8179600 94556176 1128422464 13823175184 173075968576 2207601640000 28610517254400
(((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((2 + 2) * 2) else 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2))
A040287: 17 2 6 2 34 2 6 2 34 2 6 2 34 2 6 2
((if (x div 2) <= 0 then 1 else (((((x mod 2) + 2) * 2) * 2) - ((if x <= 0 then 2 else x) div 2))) * (if x <= 0 then 1 else 2))
A073143: 1 2 14 22 12
((loop(\(x,i).(((x + 2) + 1) * x),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A134168: 1 3 9 30 111 438 1779 7290 29871 121998 496299 2011650 8129031 32769558 131850819 529745610
((if x <= 0 then 2 else (1 - (((x * 2) + 1) mod (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1)))) div 2)
A339737: 1 1 0 1 1 0 2 0 1 0 2 1 1 1 0 3
(x - ((if (x * 2) <= 0 then x else (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 0) + x),x,x) - 1)) div 2))
A209384: 0 1 1 1 1 1 1 2 3 4 5 6 7 7 8 8
(loop(\(x,i).(loop(\(x,i).(((if (x mod 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * x),1,i) + x),x,1) div 2)
A303298: 0 1 18 21 55 60 111 118 186 195 280 291 393 406 525 540
((loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(x + 2)),((x + 2) + 2),1) * 2) * 2)
A270298: 44 52 68 76 92 116 124 148 164 172 188 212 236 244 268 284
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),((x + 1) div 2),2))
A180967: 0 0 4 4 20 24 88 116 372 520 1544 2248 6344 9520 25904 39796
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,(if x <= 0 then 1 else 2)) * 2)
A272590: 2 8 24 120 840 9240 120120 2042040 38798760 892371480 25878772920 802241960520 29682952539240 1217001054108840 52331045326680120 2459559130353965640
(1 - ((((loop(\(x,i).(x * x),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) - x) + 1) div 2) div 2))
A193739: 1 1 1 2 2 1 3 3 2 1 4 4 3 2 1 5
((if x <= 0 then 2 else ((loop(\(x,i).(x * x),1,loop(\(x,i).((x * x) * x),(x - 1),(2 + 2))) div 2) div 2)) * 2)
A057841: 4 8 2048 34359738368 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (x - (((x - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))) div 2) div 2)))
A138585: 1 1 2 1 2 3 3 4 5 6 4 5 6 7 8 7
((if (x - 2) <= 0 then x else loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2))) * 2)
A079236: 0 2 4 108000
((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).((2 + 1) * x),x,2)) + 2)
A254030: 10 20 50 146 470 1610 5750 21146 79430 303050 1169750 4554746 17852390 70322090 278050550 1102537946
(0 - loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x),1,(((2 + 1) * x) + 2)))
A087298: 1 4 7 10 11 16 18 22 23 26 31 34 35 39 41 46
(compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,(x + 1))),x) + 2)
A124485: 2 3 6 12 15 21 27 42 45 57 66 87 90 96 117 120
(compr(\x.loop(\(x,i).loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,(x + 1)),2,(x + 1)),x) + 2)
A043321: 3 6 10 11 12 15 19 20 21 24 31 32 34 35 37 38
loop(\(x,i).(loop(\(x,i).(i * x),x,1) + x),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2))
A267898: 4 9 125 5047 39916811 6227020813 355687428096017 121645100408832019 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),x,1) - x),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2))
A267897: 0 3 115 5033 39916789 6227020787 355687428095983 121645100408831981 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(x * 2),x,(x + 2)),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) * 2)
A299795: 4 12 80 448 11264 53248 1114112 4980736 96468992 7784628224 33285996544 2542620639232 45079976738816 189115999977472 3307330976350208 238690780250636288
loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2))
A141083: 2 12 240 4032 1047552 16773120 4294901760 68719214592 17592181850112 72057593769492480 1152921503533105152 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * 2),x,(x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A098096: 16 72 800 6272 247808 1384448 37879808 189267968 4437573632 451508436992 2063731785728 188153927303168 3696558092582912 16263975998062592 310889111776919552 4611686018427387903
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i + 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),2,(x * 2)),x) + 2)
A067656: 7 13 17 19 24 25 27 31 32 34 37 38 43 45 47 49
((if x <= 0 then 1 else compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x div 2) + (x * 2)))),x)) div 2)
A222010: 0 1 3 7
A111223: 0 1 3 7 9 13 19 21 25 27 31 33 39 45 51 55
loop(\(x,i).(loop(\(x,i).(x * x),1,((loop(\(x,i).((x * x) * x),2,x) + (x * x)) * (x * x))) * 2),x,2)
A324440: 2 8520192 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) + 1),loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),2,x),1) mod (x + 2))
A344852: 1 1 1 1 1 1 3 1 1 1 3 1 3 3 15 1
loop(\(x,i).loop(\(x,i).(((((((2 + 2) * 2) * 2) + 1) * x) div (if i <= 0 then 1 else i)) - x),x,1),1,(x * 2))
A110839: 1 120 1820 8008 12870 8008 1820 120 1
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x div (if i <= 0 then 1 else i)) - (x * 2)) * 2),x,1)) div (1 - (x * 2)))
A010370: 1 ~4 ~12 ~80 ~700 ~7056 ~77616 ~906048 ~11042460 ~139053200 ~1796567344 ~23696871744 ~317933029232 ~4326899214400 ~59605244280000 ~829705000377600
((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (2 + 1)) else 2) - (x mod 2))
A010135: 6 1 2 2 2 1 12 1 2 2 2 1 12 1 2 2
(loop(\(x,i).(((x * 2) * 2) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)),x,x) div 2)
A018218: 0 1 9 58 325 1686 8330 39796 185517 848830 3827230 17053356 75249954 329353948 1431575220 6185613032
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,x) + loop(\(x,i).((x * 2) * 2),x,x)) div 2)
A100511: 0 3 22 126 652 3190 15060 69356 313624 1398438 6166660 26948548 116888232 503811516 2159864392 9216445080
(2 - ((loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))),2,x) - x) div 2))
A155124: 1 0 2 ~1 2 2 ~2 2 2 2 ~3 2 2 2 2 ~4
((if x <= 0 then 0 else compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),x)) + 2)
A175075-A094743: 2 5 7 13 19 31 43 61 73 103 109 139 151 181 193 199
loop(\(x,i).(loop(\(x,i).(0 - x),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) + x),x,2)
A066033: 2 5 0 7 ~4 9 ~8 11 ~12 17 ~14 23 ~18 25 ~22 31
loop(\(x,i).(loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i),2) + x),x,2)
A111179: 2 8 128 5168 39921968 6266942768 355693695038768 122000794103870768 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),i,2) + x),x,2)
A014148: 2 7 17 34 62 103 161 238 338 467 627 824 1062 1343 1671 2052
loop(\(x,i).(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),i,2) + x),x,2)
A060389: 2 8 38 248 2558 32588 543098 10242788 233335658 6703028888 207263519018 7628001653828 311878265181038 13394639596851068 628284422185342478 4611686018427387903
(loop(\(x,i).((x - 1) * x),1,compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x)) div 2)
A030007: 0 0 1 6 10 21 28 45 78 91 136 171 190 231 300 378
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i + 1),1) + ((x * 2) * 2)),i,2) + x) + x),x,2)
A095262: 2 21 137 735 3557 16191 70877 302295 1266437 5239311 21481517 87506055 354778517 1433405631 5776554557 23235129015
(((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i + 1),i) + x),i,1) + x),x,1) * 2) - 1) - x)
A100190: 1 20 147 760 3317 13164 49255 177200 620073 2125828 7174523 23914920 78919069 258280412 839411151 2711943520
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((x * x) + (2 + 1))),x)
A111040: 1 2 4 5 7 8 11 13 14 16 17 20 22 25 26 31
compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,((x * 2) + 1))),x)
A244087: 0 2 5 20 32 44 47 59 62 89 104 107 110 122 164 170
(((if x <= 0 then 2 else ((if x <= 0 then 1 else (loop(\(x,i).(i * x),(x - 2),x) * ((x mod 2) + 1))) + x)) + 1) + x)
A079481: 3 5 7 13 17 71
((loop(\(x,i).(loop(\(x,i).(((x + 1) * 2) + 1),x,0) div loop(\(x,i).((x + 1) * x),2,2)),2,x) + 1) + x)
A345900: 1 2 3 4 5 6 8 44
compr(\x.(2 - (x - loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,(x + 1)))),x)
A079364: 9 15 21 25 26 27 33 34 35 39 45 49 50 51 55 56
loop(\(x,i).(if x <= 0 then 1 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) - 2) * x)),(x + 1),x)
A059862: 1 1 2 8 64 640 8960 143360 2867200 74547200 2087321600 70968934400 2696819507200 107872780288000 4746402332672000 237320116633600000
(loop(\(x,i).(if x <= 0 then 1 else (((loop(\(x,i).((i * x) * (2 + 1)),x,1) + 1) div 2) * 2)),1,(x - 1)) * x)
A052690: 0 1 8 54 648 9720 174960 3674160 88179840 2380855680 71425670400 2357047123200 84853696435200 3309294160972800 138990354760857600 4611686018427387903
(loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,1) + loop(\(x,i).((x * 2) * 2),(x - 1),x))
A241524: 1 7 38 188 886 4052 18156 80152 349862 1513604 6501316 27759272 117935548 498920008 2102905496 8835174960
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1) + loop(\(x,i).((x * 2) * 2),(x - 1),x))
A241478: 1 3 14 68 326 1532 7068 32104 143942 638444 2806196 12239768 53035804 228504408 979640696 4181649360
compr(\x.(if ((x div 2) mod 2) <= 0 then 1 else (x - (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1))),x)
A201363: 2 3 7
A045326: 2 3 7 11 19 23 31 43 47 59 67 71 79 83 103 107
((loop(\(x,i).((2 + 1) * x),x,(if (x - 2) <= 0 then loop(\(x,i).(((i mod 2) + 2) * x),x,1) else 0)) div 2) - x)
A234319: 0 3 25 ~3 ~4 ~5 ~6 ~7 ~8 ~9 ~10 ~11 ~12 ~13 ~14 ~15
compr(\x.((loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 1)),x,x) + 1),2,(x * 2)) + 1) + 2),x)
A195613: 25 28 32 38 46 58 60 62 72 77 80 85 88 92 93 94
loop(\(x,i).(1 - ((((x + 2) * x) + 1) mod (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))),2,x)
A245570: 1 1 1 3 1 1 2 3 1 1 1 1 3 1 1 3
((if x <= 0 then 1 else ((x - ((if (x - 2) <= 0 then 1 else 0) - loop(\(x,i).(((i mod 2) + 2) * x),x,1))) * 2)) + x)
A066009: 1 7 16 45 84
loop(\(x,i).(loop(\(x,i).(x * 2),x,2) div (x + 2)),1,compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x))
A007663: 1 3 9 93 315 3855 13797 182361 9256395 34636833 1857283155 26817356775 102280151421 1497207322929 84973577874915 4885260612740877
compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 2 else 1)),x,(x * 2)) + 1),2,x) mod (x + 2)),x)
A243811: 0 1 4 7 13 19 28 34 49 52 67 73 88 94 97 112
(x - (loop(\(x,i).(x - loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),x,(x + 1))),1,(x * 2)) + x))
A130140: 1 3 5 7 3 11 13
A326577-A090368: 1 3 5 7 3 11 13 3 17 19 3 23 5 3 29 31
(1 - loop(\(x,i).(x - (if x <= 0 then 0 else loop(\(x,i).(((((x mod 2) + x) div (2 + 1)) + x) + 1),i,1))),x,x))
A280514: 1 2 1 3 2 1 5 4 3 2 1 8 7 6 5 4
(if x <= 0 then 2 else compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),x))
A201363: 2 3 7
A172238: 2 3 7 13 19 37 43 67 79 97 103 109 127 163 193 223
loop(\(x,i).(if x <= 0 then 1 else (((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) + x) * 2)),1,(x * x))
A342235: 1 4 12 28 50 76 110 148 194 244 302 364 434 508 590 676
((if x <= 0 then 1 else (((if (x - 1) <= 0 then 1 else ((loop(\(x,i).(x * 2),x,1) + x) + 1)) * 2) + x)) - (x * x))
A281353: 1 2 12 18 30 56
loop(\(x,i).(((x + 2) + 1) * x),1,compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x))
A222963: 0 4 10 28 40 70 88 130 208 238 340 418 460 550 700 868
loop(\(x,i).((2 + 1) * x),((x + 1) * 2),loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),(x + 1),0))
A220094: 45 4455 404595 36446355 3280467195 295244704755 26572047342795 2391484476085155 215233604784766395 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),(x + 1),0))
A138147: 10 1100 111000 11110000 1111100000 111111000000 11111110000000 1111111100000000 111111111000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2) <= 0 then 1 else (if (x mod ((2 + 2) * 2)) <= 0 then 2 else 0))
A286564: 1 1 1 1 0 1 1 0 2 1 1 0 0 0 1 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) + (if ((x - 1) mod (2 + 2)) <= 0 then 2 else 0))
A163976: 1 4 4 6 10 14 16 18 22 30 30 36 40 44 46 52
loop(\(x,i).(((i * i) * (i * i)) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),0)
A098997: 17 98 979 4676 39974 89271 327369 562666 1431244 4463999 6197520 14822755 24607093 31137590 48343448 87633963
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),0))
A155670: 1 19 201 2059 21201 220099 2303001 24270139 257405601 2745368179 29424209001 316692730219 3420857913201 37064577972259 402626626038201 4383139301510299
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),0))
A155672: 1 3 41 603 8081 102003 1240121 14704203 171312161 1970527203 22450640201 253930611003 2855998840241 31980846315603 356873041128281 3971357037321003
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0))
A138148: 0 101 11011 1110111 111101111 11111011111 1111110111111 111111101111111 11111111011111111 1111111110111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0))
A244842: 0 99 10989 1109889 111098889 11110988889 1111109888889 111111098888889 11111110988888889 1111111109888888889 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155649: 1 16 156 1546 15936 168826 1818216 19767106 216038496 2368025386 25997890776 285674467666 3140605159056 34535772837946 379828197747336 4177718354400226
(loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155665: 1 18 184 1842 18736 193818 2033704 21584322 231136096 2492165418 27011166424 293901605202 3207147853456 35072467957818 384147880094344 4212432541504482
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155638: 1 15 145 1455 15265 164175 1787185 19565295 214749505 2359900815 25947190225 285360498735 3138672517345 34523932847055 379755937098865 4177278686993775
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155657: 1 16 148 1342 12400 116806 1117648 10823542 105764800 1040353606 10282475248 101977326742 1013841287200 10096889010406 100678223072848 1004747561509942
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x div 2),1) + loop(\(x,i).((x * 2) + 1),x,0))
A258143: 1 2 6 10 25 41 98 162 381 637 1485 2509 5811 9907 22818 39202
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) + x) - loop(\(x,i).((x * 2) + 1),x,0))
A004303: 1 1 1 1 3 16 75 309 1183 4360 15783 56750 203929 734722 2658071 9662093
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - x) + loop(\(x,i).((x * 2) + 1),x,0))
A338726: 1 1 3 9 25 68 189 549 1677 5364 17809 60822 212095 751078 2690809 9727597
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (2 + 1)) - (if (x - 1) <= 0 then x else 0))
A063534: 6 8 15 21 33 39 51 57 69 87 93 111 123 129 141 159
(x - (1 - (loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2) - loop(\(x,i).((x + 2) * 2),x,0))))
A013981: 1 2 9 44 195 804 3185 12368 47607 182720 701349 2695978 10384231 40083848 155052001 600949336
loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) * (2 + 1)),(i - 1),1) + ((x * 2) * 2)),x,0)
A180847: 0 1 31 853 23095 623821 16844191 454797253 12279542215 331547705341 8951788306351 241698285320053 6525853707835735 176198050128342061 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i - 2),1) + ((x * 2) * 2)),x,0)
A258431: 0 1 5 23 102 443 1898 8054 33932 142163 592962 2464226 10209620 42190558 173962532 715908428
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((((2 + 2) * (x + 1)) + x) * 2),x,0))
A184337: 0 81 8811 888111 88881111 8888811111 888888111111 88888881111111 8888888811111111 888888888111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),x,0))
A155661: 1 4 52 658 7600 83194 882352 9176458 94235200 959646394 9717524752 98022673258 986158712800 9903110989594 99321776927152 995252438490058
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0))
A155644: 1 7 97 1207 14017 157927 1755937 19409047 213968257 2355994567 25927658977 285262842487 3138184236097 34521491440807 379743730067617 4177217651837527
((x mod ((x mod (((x - (1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x))) mod (x + 1)) + 1)) + 1)) + 1)
A318459: 1 1 1 1 1 2 1 4 3 2 1 2 1 2 1 1
(loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) div ((2 mod ((x mod (2 + 1)) + 1)) + 1))
A067047: 1 5 5 35 70 42 210 330 165 715 1001 455 1820 2380 1020 3876
loop(\(x,i).(x * x),1,((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1))
A055491: 1 4 9 1 25 36 49 4 1 100 121 9 169 196 225 1
(((x + 1) div (loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,((x * 2) + 1)) + 1)) + 1)
A254046: 1 2 1 1 3 1 1 2 1 1 2 1 1 4 1 1
(loop(\(x,i).(((x * x) * (2 + 1)) + x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1)) - 1)
A171656: 13 373 30703 3007003 300070003 30000700003 3000007000003 300000070000003 30000000700000003 3000000007000000003 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1))
A083909: 9 990 99900 9999000 999990000 99999900000 9999999000000 999999990000000 99999999900000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 2) div loop(\(x,i).(x * 2),(((loop(\(x,i).(x * 2),(x div 2),1) + (x div 2)) div (x + 1)) + 1),1))
A242998: 0 1 1 2 1 1 2 2 1 1 0 0 0 0 0 0
(((x div 2) + 1) div ((if x <= 0 then 0 else (if (x mod ((((x div 2) mod (2 + 1)) + 2) + 1)) <= 0 then 2 else 1)) + 1))
A060426: 1 0 1 1 1 1 1 2 1 2 2 3 2 3 4 4
((if x <= 0 then 0 else loop(\(x,i).(i * 2),(((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)) + 1)
A057334: 1 2 2 3 2 3 3 5 2 3 3 5 3 5 5 7
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else 1)
A040790: 28 1 1 1 1 1 1 1 1 1 56 1 1 1 1 1
(if x <= 0 then 0 else (((x div 2) div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 2)) + 1)) + 1))
A164879: 0 1 1 2 1 2 1 4 3 2 1 3 1 2 3 8
((loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).(x * 2),x,1) div (((((2 + 2) * 2) * 2) * 2) + 1))) - 1)
A222010: 0 1 3 7
A224521: 0 1 3 7 15 31 62 124 248 496 992 1985 3971 7943 15887 31775
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017351: 362797056 17592186044416 3670344486987776 131621703842267136 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017387: 31381059609 116490258898219 12200509765705829 317475837322472439 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((x * 2) - (x div (0 - 2))) + 1)),x,((2 + 2) + 1)) + 1)
A070870: 6 15 8 20 50 125 63 32 80 200 500 1250 3125 1563 782 1955
((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((x div (2 + 2)) + 2)) + 1) div (2 + 1)) + 1)
A209435: 1 1 2 1 2 3 1 2 4 5 1 2 4 6 8 1
(if x <= 0 then 0 else (((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) div ((2 + 2) + 1)) mod (2 + 1)) + 1))
A332897: 0 1 1 1 2 1 2 1 2 2 3 1 3 2 1 1
(((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,(2 + 1))) * (2 + 1)) + 1)
A184031: 16 28 49 91 169 325 625 1225 2401 4753 9409 18721 37249 74305 148225 296065
((loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x),1) div (2 + 1)) + 1)
A139164: 2 21 841 6652801 1037836801 59281238016001 20274183401472001 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017663: 285311670611 952809757913927 96549157373046875 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if x <= 0 then 1 else ((loop(\(x,i).(x * x),2,(x * x)) + (x * x)) + 2)) * (x + 1)) * (2 + 1)) - 1)
A069151: 2 23 2357
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * x),1)) * (2 + 1)) + 1)
A160432: 7 331 300030001 3000000003000000001
((x + 1) div (((if x <= 0 then 0 else (if (((x div (2 + 2)) + x) mod (2 + 1)) <= 0 then 1 else 2)) * (2 + 1)) + 1))
A029281: 1 0 0 1 0 1 1 1 1 1 2 1 3 2 2 4
(((if x <= 0 then 0 else (if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 1 else 2)) * (2 + 1)) + 1)
A254398: 1 4 7 4 7 7 4 7 7 7 4 7 7 7 7 4
(((((if x <= 0 then 0 else ((loop(\(x,i).(x * 2),((x - 1) div 2),x) + 2) div 2)) + 1) * 2) * (2 + 1)) + 1)
A272381: 7 13 19 31 37 73
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017615: 1977326743 116490258898219 25408476896404831 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - (((((x * 2) + 1) * 2) * (2 + 1)) + 1)))
A017482: 282475249 3570467226624 420707233300201 10485760000000000 119042423827613001 839299365868340224 4297625829703557649 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - (((((x * 2) + 1) * 2) * (2 + 1)) + 1)))
A017484: 13841287201 1156831381426176 353814783205469041 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017591: 48828125 34271896307633 12200509765705829 550329031716248441 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(x * 2),x,2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 2) div (2 + 1)) + 1)
A054992: 1 1 2 1 2 2 2 1 4 3 2 2 2 3 4 1
((((if x <= 0 then 1 else ((loop(\(x,i).(((2 - x) + 1) * 2),x,1) mod (x + 1)) div 2)) + 2) div (2 + 1)) + 1)
A230798: 2 1 1 2 1 2 1 2 2 2 1 3 1 2 3 2
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((2 + 2) + 1) * x) + 1)),x,(((2 + 2) * (2 + 1)) - 1))
A259193: 11 56 28 14 7 36 18 9 46 23 116 58 29 146 73 366
(compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (((2 + 2) * (2 + 1)) - 1))
A097932: 11 12 13 15 16 18 19 21 24 25 28 30 31 33 36 39
(((if x <= 0 then 1 else ((x * 2) * 2)) - ((((if ((x div 2) - 2) <= 0 then 2 else 1) - x) * 2) div (2 + 1))) + 1)
A314890: 1 5 9 14 19 23 29 33 38 43 47 52 57 61 66 71
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017255: 1977326743 17592186044416 2384185791015625 70188843638032384 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017231: 48828125 4049565169664 952809757913927 36028797018963968 550329031716248441 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1),2,(x - 1)) + x) * 2) div (2 + 1)) + 1)
A111801: 1 3 4 5 7 8 11 13 15 16 17 19 20 21 23 24
((loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x),2) div (2 + 1)) + 1)
A139161: 3 41 1681 13305601 2075673601 118562476032001 40548366802944001 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x),2) div (2 + 1)) - 1)
A139191: 1 39 1679 13305599 2075673599 118562476031999 40548366802943999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((x * 2) - loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x)) * 2) div (2 + 1)) + 1)
A184835: 1 3 4 7 8 10 11 15 16 18 19 22 23 25 27 31
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) * (2 + 1)) + 1)
A225227: 1 7 13
A123365: 1 7 13 19 31 37 43 61 67 73 79 97 103 109 127 139
((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) * (2 + 1)) + 1)
A272409-A272406-A272384-A144921-A002476: 7 13 19 31 37 43 61 67 73 79 97 103 109 127 139 151
(x div ((((x - 1) * x) + 2) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)))
A064891: 0 1 2 0 2 0 1 0 0 0 1 0 1 0 0 0
(loop(\(x,i).(((i - 1) * i) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1) - 1)
A127919: 2 8 40 112 440 728 1632 2280 4048 8120 9920 16872 22960 26488 34592 49608
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 2),1) + 1))
A164367: 101 10010 1000100 100001000 10000010000 1000000100000 100000001000000 10000000010000000 1000000000100000000 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,1) div loop(\(x,i).(x * 2),((((x * x) * x) div 2) div ((x + 2) + 1)),1))
A331055: 1 4 16 16 16 8 1
(((x div (2 + 2)) + 1) div ((if (x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)) <= 0 then x else 1) + 1))
A292374: 1 0 0 0 1 0 1 0 1 0 1 0 2 0 0 0
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1)
A155654: 1 6 86 1116 13346 153276 1724906 19207236 212679266 2347869996 25876958426 284948873556 3136251594386 34509651449916 379671469419146 4176777984431076
(loop(\(x,i).((loop(\(x,i).((((x + 2) + 2) * x) + 2),2,(2 + 1)) mod (x + 1)) + (x + 1)),x,1) + 1)
A323395: 2 4 8 16 32 48 96 144 192
loop(\(x,i).(i * x),(compr(\x.(loop(\(x,i).(((x + 1) * x) div 2),((2 + 2) + 1),2) mod (x + 1)),x) + 1),1)
A088258: 1 2 6 24 720 5040 39916800 479001600 87178291200 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + 1)
A155668: 1 4 58 820 10546 128284 1509418 17390020 197581666 2223729964 24863682778 276721736020 3069708899986 33972956330044 375351787072138 4142063797326820
(loop(\(x,i).((((2 + 1) * x) + 2) * (x + 1)),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A171630: 11 353 30503 3005003 300050003 30000500003 3000005000003 300000050000003 30000000500000003 3000000005000000003 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 1) * x) + 2) * x) + 2),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A171248: 8 323 30203 3002003 300020003 30000200003 3000002000003 300000020000003 30000000200000003 3000000002000000003 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * x) + 2) * (x + 2)),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) - 1)
A171718: 14 383 30803 3008003 300080003 30000800003 3000008000003 300000080000003 30000000800000003 3000000008000000003 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((x + 2) + 2) + 2) + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A225813: 9 171 10701 1007001 100070001 10000700001 1000007000001 100000070000001 10000000700000001 1000000007000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) * 2) + x) + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A171553: 11 191 10901 1009001 100090001 10000900001 1000009000001 100000090000001 10000000900000001 1000000009000000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 - loop(\(x,i).(((2 - x) - (x * 2)) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1)))
A171583: 10 343 30403 3004003 300040003 30000400003 3000004000003 300000040000003 30000000400000003 3000000004000000003 4611686018427387903 4611686018427387903
loop(\(x,i).((((i * 2) + 1) * x) * 2),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1),1)
A075069: 6 60 15120 8648640 14079294028800 32382376266240000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((x * x) * x) + 1) * x) * (((x + 1) * x) + 1)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A034670: 7 127 5461 299593 17895697 1108378657 69810262081 4432676798593
A020516: 7 127 5461 299593 17895697 1108378657 69810262081 4432676798593 282578800148737 18049651735527937 1154048505100108801 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) - x) + loop(\(x,i).(x * 2),x,1)) - 1)
A181490: 1 2 6 18
A132790: 1 2 6 18 53 158 486 1550 5109 17298 59799 210048 746983 2682618 9711214 35390422
(x div (((loop(\(x,i).(i * x),x,loop(\(x,i).(((i mod 2) + x) * 2),(x div 2),1)) - 1) mod (x + 1)) + 1))
A292936: 0 1 1 0 2 0 2 0 0 0 3 0 1 0 0 0
((((loop(\(x,i).loop(\(x,i).(((x * x) div ((x + 2) + 2)) + 2),2,x),2,x) * 2) + 1) mod (x + 1)) + 1)
A062406: 1 2 3 4 5 4 3 2 1 2 3 4 5 4 5 4
((((x mod (1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)))) + 1) mod (x + 1)) + 1)
A306680: 1 1 2 1 1 3 1 1 2 4 1 1 1 3 5 1
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(if (x mod ((2 + 2) * 2)) <= 0 then 1 else 0)) mod (x + 1)),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A129944-A097375-A089189-A042987-A007459: 2 3 5 7 11 13 19 23 29 31 37 43 47 53 59 61
((loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1) mod ((2 - (x mod 2)) * (x + 1))) - 1)
A078788: 0 0 3 0 5 3 7 0 3 5 11 3 13 7 3 0
loop(\(x,i).((loop(\(x,i).((((x + 2) + 2) * (x + 2)) * (x + 1)),1,(x * x)) - 1) * x),(x + 1),1)
A144839: 29 17393796001 4611686018427387903
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)
A213642: 2 2 5 2 11 5 17 2 23 11 31 5 41 17 47 2
(loop(\(x,i).(x * x),1,(((2 + 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) - 1)
A065915: 15 63 15 255 15 63 15 1023 15 63 15 255 15 63 15 4095
(loop(\(x,i).((x * x) * 2),1,(((x + 1) * 2) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) - 1)
A065916: 7 31 7 127 7 31 7 511 7 31 7 127 7 31 7 2047
loop(\(x,i).(x - (x div ((2 + 2) + 1))),2,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A068057: 1 2 1 4 1 2 1 6 1 2 1 4 1 2 1 11
loop(\(x,i).((2 + 1) * x),((2 + 1) * x),((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A157094: 1 54 729 78732 531441 28697814 387420489 83682825624 282429536481 15251194969974 205891132094649 22236242266222092 150094635296999121 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A156192: 1 14 49 1372 2401 33614 117649 6588344 5764801 80707214 282475249 7909306972 13841287201 193778020814 678223072849 75960984159088
(loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) - loop(\(x,i).((x * 2) * 2),(x - 1),1))
A127275: 1 1 2 4 6 ~4 ~100 ~664 ~3514 ~16916 ~77388 ~343144 ~1490148 ~6376616 ~26992264 ~113317936
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * ((i * 2) - 1)) * ((i * 2) + 1)),i,1) * x),(x - 1),1)
A107254: 1 1 12 8640 870912000 22122558259200000 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),i,i) + x),(x - 1),0) * 2) + 1)
A281593: 1 1 3 11 41 153 573 2157 8163 31043 118559 454479 1747771 6740059 26055459 100939779
(((loop(\(x,i).(((2 + 1) * x) + 1),x,0) - loop(\(x,i).((((2 + 2) + 1) * x) - 1),x,0)) div 2) + 1)
A233106: 1 2 6 23 99 452 2136 10313 50469 249062 1235466 6147803 30650439 152986472 764135196 3818284493
((loop(\(x,i).(((if (x mod 2) <= 0 then 2 else ((x - 2) mod ((x div (2 + 2)) + 1))) + x) + 1),x,0) div 2) + 1)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A180643: 1 2 3 4 5 6 7 8 9 10 11 12 14 17 18 22
((((if x <= 0 then 1 else (if (x mod (((x div ((2 + 2) + 1)) + 1) * (2 + 1))) <= 0 then 2 else 0)) + 1) * 2) + 1)
A120275: 5 3 3 7 3 3 7 3 3 3 3 3 3 3 3 3
(if (x mod (2 + 2)) <= 0 then 0 else ((((x mod ((loop(\(x,i).(x * 2),x,x) mod (x + 1)) - 1)) + 1) div 2) + 1))
A299485: 0 1 1 1 0 2 2 1 0 2 2 2 0 2 3 1
(((if x <= 0 then 0 else (((loop(\(x,i).((x + 2) * 2),(x div 2),(x mod 2)) + 1) div (2 + 1)) + 1)) * 2) + 1)
A169969: 1 3 5 7 11 13 21 27 43 53 85 107 171 213 341 427
((2 - (if x <= 0 then 1 else ((0 - (x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1))) div 2))) + 1)
A177876: 2 3 3 4
A077603-A077567: 2 3 3 4 3 3 3 5 4 3 3 5 3 3 3 6
((loop(\(x,i).(x * 2),x,(loop(\(x,i).(((x * 2) div ((x div 2) + 1)) + (x * 2)),x,1) - 1)) div 2) + 1)
A256959: 1 4 19 89 385 1601 6529 26369 105985 424961 1701889 6811649 27254785 109035521 436174849 1744764929
((loop(\(x,i).(x * x),1,((loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) * (x + 1)) + 1)) * 2) - 1)
A157664: 80801 321601 722401 1283201 2004001 2884801 3925601 5126401 6487201 8008001 9688801 11529601 13530401 15691201 18012001 20492801
((loop(\(x,i).(x * x),1,((loop(\(x,i).(((x + 2) * (x + 2)) * 2),2,0) * (x + 1)) - 1)) * 2) - 1)
A157661: 79201 318401 717601 1276801 1996001 2875201 3914401 5113601 6472801 7992001 9671201 11510401 13509601 15668801 17988001 20467201
((if x <= 0 then 1 else x) div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1))
A070777: 1 1 2 1 4 2 6 1 2 4 10 2 12 6 4 1
((loop(\(x,i).(x * x),1,(((loop(\(x,i).((i + x) * x),2,(2 + 2)) + 1) * (x + 1)) + 1)) * 2) - 1)
A157741: 390727 1559377 3505951 6230449 9732871 14013217 19071487 24907681 31521799 38913841 47083807 56031697 65757511 76261249 87542911 99602497
(x div (((if x <= 0 then 2 else ((loop(\(x,i).(((x + 2) * (x + 1)) div 2),2,x) mod (x + 1)) + 1)) div 2) + 1))
A331803: 0 1 1 1 2 2 3 1 4 2 5 3 6 6 7 1
((loop(\(x,i).i,(((x div (((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)) + 1)) + 1) div 2),1) * 2) + 1)
A076566: 3 3 3 5 3 7 3 3 5 11 3 13 7 5 3 17
(((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,x) - 1) mod (2 + 2)) + 1) div 2) - 1)
A309048: 1 1 1 0 1 1 0 1 1 ~1 0 0 1 1 1 0
(2 div (((if x <= 0 then 2 else ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) * ((x mod (2 + 2)) + 1))) div 2) + 1))
A115211: 1 1 1 0 2 1 1 0 2 1 1 0 1 0 0 0
((((loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) + 2) + 1) * 2) + 1)
A241679: 11 15 39 135 2055 8199 131079 524295 8388615 536870919 2147483655 137438953479 2199023255559 8796093022215 140737488355335 9007199254740999
(((((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,2)) + 2) + 1) * 2) + 1)
A184041: 15 21 31 51 87 159 295 567 1095 2151 4231 8391 16647 33159 66055 131847
((((((loop(\(x,i).((2 + 1) * x),x,2) + x) + loop(\(x,i).(x * 2),x,1)) + 1) * (2 + 1)) div 2) + 1)
A169877: 7 16 38 100 275
(if x <= 0 then 1 else loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 1)),(x - 1),(((2 + 1) * 2) + 1)))
A146533: 1 7 21 70 245 882 3234 12012 45045 170170 646646 2469012 9464546 36402100 140408100 542911320
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 1) * 2) + 1) * x) + 1)),x,(((2 + 1) * 2) + 1))
A271623: 7 50 25 176 88 44 22 11 78 39 274 137 960 480 240 120
(((((loop(\(x,i).(loop(\(x,i).((i + 2) * x),i,1) + ((i * i) * x)),x,1) + x) div 2) + 1) div 2) + 1)
A320946: 1 2 9 80 1340
((((compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,((x * 2) * 2)),x) * 2) + 1) * 2) - 1)
A091113: 1 9 21 25 33 45 49 57 65 69 77 81 85 93 105 117
(x div ((((2 - loop(\(x,i).(x - (if x <= 0 then 0 else ((i * 2) + 1))),x,x)) mod ((x + 2) + 1)) * 2) + 1))
A030398: 0 1 0 0 0 0 0 1 1 0 0 0 1 1 2 3
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017315: 177147 1792160394037 952809757913927 50542106513726817 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1))),x) + 1) * 2) + 1)
A089255: 5 9 11 17 21 23 29 33 39 47 51 53 57 59 71 77
(loop(\(x,i).(((x + 2) * 2) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),2) + 1)
A098116: 11 35 323 2915 236195 2125763 172186883 1549681955 125524238435 91507169819843 823564528378595 600378541187996483 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((((((x - 2) * x) * (x - 1)) div (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div 2),1)
A122214: 1 2 4 32 4096 67108864 4503599627370496 4611686018427387903 4611686018427387903
((loop(\(x,i).((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1),1,(x + 1)) div 2) + 1)
A088529: 1 1 2 1 1 1 3 2 1 1 3 1 1 1 4 1
(x mod ((((loop(\(x,i).(x * 2),((if ((x div 2) - 2) <= 0 then 1 else 2) + x),1) - 2) mod (x + 1)) div 2) + 1))
A215486: 0 0 0 1 0 1 0 3 2 1 0 3 0 1 6 7
loop(\(x,i).(x - ((x * x) * (1 - x))),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x + 1) * 2),1))
A055617: 990100 999900010000 999999000001000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1) + x),((x + 1) div 2),1)
A166588: 1 2 2 3 3 5 5 10 10 24 24 66 66 198 198 627
((if x <= 0 then 0 else loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x div 2),((x + 1) mod 2))) + 1)
A329696: 1 1 2 1 3 1 6 1 15 1 43 1 133 1 430 1
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) * 2) + 1)
A082496: 7 11 23 35 59 83 119 143 203 215 275 299 359 383 395 455
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) div 2) + 1)
A040040: 2 3 6 9 15 21 30 36 51 54 69 75 90 96 99 114
((((((loop(\(x,i).(if (x - 2) <= 0 then 0 else (x * x)),(x div 2),x) + 1) * x) div 2) * (x - 1)) div 2) + 1)
A326216: 1 1 1 16 772
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * (((2 + 1) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040417: 20 1 12 1 40 1 12 1 40 1 12 1 40 1 12 1
(if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * (((2 + 1) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A010236: 13 1 12 1 26 1 12 1 26 1 12 1 26 1 12 1
(if (x mod 2) <= 0 then (((((x - 1) mod (2 + 2)) * (((2 + 2) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040699: 26 1 16 1 52 1 16 1 52 1 16 1 52 1 16 1
(if (x mod 2) <= 0 then (((((2 - x) mod (2 + 2)) * (((2 + 2) * 2) + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040370: 19 1 2 1 38 1 2 1 38 1 2 1 38 1 2 1
(if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * (((2 + 2) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040304: 17 1 16 1 34 1 16 1 34 1 16 1 34 1 16 1
(if (x mod 2) <= 0 then ((((((2 - x) mod (2 + 2)) + 2) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040378: 19 1 18 1 38 1 18 1 38 1 18 1 38 1 18 1
(if (x mod 2) <= 0 then ((((((2 - x) mod (2 + 2)) * 2) * ((2 + 2) + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040451: 21 1 2 1 42 1 2 1 42 1 2 1 42 1 2 1
(if (x mod 2) <= 0 then (((((((2 - x) mod (2 + 2)) + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040550: 23 1 22 1 46 1 22 1 46 1 22 1 46 1 22 1
(if (x mod 2) <= 0 then ((((2 - (x mod (2 + 2))) * ((2 + 2) * (2 + 1))) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040637: 25 1 2 1 50 1 2 1 50 1 2 1 50 1 2 1
((((((loop(\(x,i).(x * 2),x,2) + 1) div (2 + 1)) * (loop(\(x,i).(x * 2),x,1) + 1)) div 2) div 2) + 1)
A022016: 1 1 4 12 47 174
loop(\(x,i).((x * 2) * 2),(x + 1),(((loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),1) - 2) * 2) - 1))
A094506: 44 1968 65216 2095872 67103744 2147463168 68719394816 2199022927872 70368742866944 2251799808442368 72057594016956416 2305843009129807872 4611686018427387903 4611686018427387903 4611686018427387903
(((((((loop(\(x,i).((2 + 1) * x),x,2) - loop(\(x,i).(x * 2),x,2)) * 2) * 2) + 1) * 2) * 2) + 1)
A305861: 5 37 165 613 2085 6757 21285 65893 201765 613477 1856805 5603173 16875045 50756197 152530725 458116453
(((((loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,x) + x) * ((2 + 2) + 1)) div 2) + 2) + 1)
A277600: 3 8 13 18 23 28 30 33 38 43 48 53 58 63 68 73
((((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) * (2 + 1)) div 2) * 2) + 1)
A074938: 1 3 9 13 27 31 37 39 81 85 91 93 109 111 117 121
(((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div 2) div 2) + 1)
A139166: 16 631 4989601 778377601 44460928512001 15205637551104001 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div 2) div 2) - 1)
A139196: 14 629 4989599 778377599 44460928511999 15205637551103999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) - 1)),(x + 1)) * 2) * 2) - 1)
A091236: 15 27 35 39 51 55 63 75 87 91 95 99 111 115 119 123
((((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2) div 2) + 1)
A193661: 1 3 15 93 621 4263 29595 206433 1442841 10093323 70633575 494375973 3460454661 24222651183 169556963955 1186893964713
(((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) div 2) + 1)) div 2) div 2) div 2) + 1)
A259799-A208447-A047913: 1 1 1 1 1 2 1 1 2 3 1 1 2 4 5 1
((((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),x,2) * 2) * 2) * 2) + 1)
A295932: 17 153 1289 10521 84809 680409 5449097 43610265 348934601 2791634265 22333546505 178669789209 1429362565193 11434913276121 91479344472713 731834870572953
((loop(\(x,i).(((2 + 2) + 1) * x),x,2) - loop(\(x,i).((x * 2) + 1),x,0)) div (((2 + 2) * 2) + 1))
A180928: 0 1 5 27
A084177: 0 1 5 27 137 691 3465 17347 86777 433971 2170025 10850467 54253017 271266451 1356334985 6781680387
((loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,1) - loop(\(x,i).(x * 2),x,1)) div (((2 + 2) * 2) + 1))
A084153: 0 0 1 6 33 170 861 4326 21673 108450 542421 2712446 13562913 67815930 339082381 1695417366
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),x,x) mod (((2 + 2) * 2) + 1))
A283556: 0 2 5 1 8 1 5 4 5 1 3 7 8 4 2 4
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,((2 + 2) * 2)) - 1)
A228698: 7 23 119 839 9239 120119 2042039 38798759 892371479 25878772919 802241960519 29682952539239 1217001054108839 52331045326680119 2459559130353965639 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017639: 31381059609 350277500542221 50542106513726817 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(x - ((((((2 + 1) * x) + 2) * 2) * 2) + 1)))
A017506: 3486784401 10240000000000 819628286980801 17080198121677824 174887470365513049 1152921504606846976 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(x - ((((((2 + 1) * x) + 2) * 2) * 2) + 1)))
A017508: 282429536481 4096000000000000 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) div (if ((x + 1) mod (((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2) + 2)) <= 0 then (2 + 2) else 1))
A001438: 1 2 3 4 1 6 7 8
A235380: 1 2 3 4 1 6 7 8 9 10 11 3 13 14 3 16
((((if (((if x <= 0 then 2 else x) div ((x mod 2) + 2)) mod 2) <= 0 then x else 1) div (2 + 1)) + 1) mod ((2 + 2) + 1))
A248473: 1 1 1 1 2 1 1 3 3 1 1 1 0 0 1 1
(loop(\(x,i).((x div 2) * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) div ((2 + 2) + 1))
A274766: 0 11 1221 123321 12344321 1234554321 123456654321 12345677654321 1234567887654321 123456789987654321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(i + 1),x) + 1),x,1) div 2) div ((2 + 2) + 1))
A101305: 0 10 10100 101001000 10100100010000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x * 2) + 1) * x),1,loop(\(x,i).(((x * 2) + 1) * 2),x,2)) div 2) div ((2 + 2) + 1))
A006105: 1 21 357 5797 93093 1490853 23859109 381767589 6108368805 97734250405 1563749404581 25019996065701 400319959420837 6405119440211877 102481911401303973
(if x <= 0 then 1 else (loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),(x mod 2)) * ((2 + 2) + 1)))
A328332: 1 5 10 60 110 610 1110 6110 11110 61110 111110 611110 1111110 6111110 11111110 61111110
(loop(\(x,i).((x - 1) * x),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) mod ((2 + 2) + 1))
A086937: 0 0 1 0 2 0 0 2 0 2 2 0 2 0 0 0
(loop(\(x,i).((x div 2) * x),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) mod ((2 + 2) + 1))
A051830: 0 0 3 0 1 0 0 1 0 1 1 0 1 0 0 0
(((((loop(\(x,i).((x + 1) * 2),(x - 2),(loop(\(x,i).(x * 2),x,1) + 1)) div 2) + x) div 2) div 2) + 1)
A253927: 1 1 2 4 11 37 136
(loop(\(x,i).((x * x) * 2),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1)) div (2 + 1))
A178633: 54 6534 665334 66653334 6666533334 666665333334 66666653333334 6666666533333334 666666665333333334 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(1 - (((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) mod (((2 + 1) * 2) + 1)) + 1) div (2 + 1)))
A141679: 1 ~1 1 ~1 ~1 1 0 ~1 ~1 1 0 0 ~1 ~1 1 0
((((if (x mod 2) <= 0 then (if x <= 0 then 1 else 2) else (0 - 1)) * (2 + 1)) mod ((x div (2 + 1)) + 1)) mod (2 + 1))
A057594: 0 0 0 1 0 1 0 0 0 1 2 1 1 2 1 0
(loop(\(x,i).((x * x) * 2),2,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) * (2 + 1))
A059157: 24 384 24 6144 24 384 24 98304 24 384 24 6144 24 384 24 1572864
((((loop(\(x,i).(x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1)),2,x) + 1) div 2) + 1) mod (2 + 1))
A003137: 1 2 1 0 1 1 1 2 2 0 2 1 2 2 1 0
((((if x <= 0 then 1 else (((if ((x div 2) - 2) <= 0 then 0 else 1) + ((x * 2) * 2)) * 2)) * 2) + 1) div (2 + 1))
A314133: 1 5 11 16 21 27 33 39 44 49 55 60 65 71 76 81
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) + 1)),x,((((2 + 2) * 2) + 1) * (2 + 1)))
A008884: 27 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242
((loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((i * x) * (2 + 1)) + x),x,1)) div (2 + 1)) div (2 + 1))
A249352: 0 7 2439 2439111 5358727111 21949346247111 150550565908935111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((i div 2) + x),(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2),1) div (2 + 1))
A081115: 2 4 10 14 24 30 44 70 80 114 140 154 184 234 290 310
((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(2 + 2)) * ((x + 2) + 1)) div (2 + 1))
A002012: 4 32 200 1120 5880 29568 144144
((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 2)) * ((x + 2) + 1)) div (2 + 1))
A189769: 2 24 200 1400 8820 51744 288288 1544400 8022300 40646320 201753552 984312784 4732273000 22465296000 105479913600 490481598240
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1) div (2 + 1)))
A315536: 1 6 11 17 23 28 33 39 45 50 56 62 67 73 79 84
((loop(\(x,i).((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x),(2 + 2),x) * ((x * 2) + 1)) mod (2 + 1))
A029321: 1 0 0 1 0 0 1 0 1 1 0 2 2 0 2 2
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).((x * 2) * (2 + 1)),(x div 2),1)) * (2 + 1))
A320524: 0 15 90 630 3780 23220 139320 839160 5034960 30229200 181375200 1088367840 6530207040 39181942080 235091652480 1410554113920
loop(\(x,i).(((x * 2) + 1) * x),1,(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (2 + 1)))
A319170: 21 2211 222111 22221111 2222211111 222222111111 22222221111111 2222222211111111 222222222111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((((2 + 2) + 1) * x) - 1) * x) div 2),1,loop(\(x,i).((x * 2) * 2),x,1)) * (2 + 1))
A121544: 6 114 1896 30624 491136 7862784 125822976 2013241344 32212156416 515395682304 8246335635456 131941389041664 2111062300164096 33776997104615424 540431954881806336 4611686018427387903
((loop(\(x,i).(((x * 2) - ((i mod 2) * (2 + 1))) * 2),x,2) + loop(\(x,i).(x * 2),x,1)) div (2 + 1))
A214142: 1 1 4 11 40 147 568 2227 8824 35123 140152 559923 2238328 8950579 35796856 143176499
(1 - (((((loop(\(x,i).loop(\(x,i).(i * x),i,x),x,(0 - x)) - 1) * x) + 1) * (x + 1)) div (2 + 1)))
A060595: 1 2 10 148 7686
(x - ((x - (if x <= 0 then 1 else (loop(\(x,i).((x - 1) * x),2,((x * 2) * 2)) mod (x + 1)))) div (2 + 1)))
A140859: 1 1 2 2 3 4 5 6 6 6 9 10 9
((if (x mod (2 + 2)) <= 0 then (x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) else 0) * ((x + 1) div (2 + 1)))
A264769: 0 0 0 0 4 0 0 0 24 0 0 0 16 0 0 0
(loop(\(x,i).(x * x),1,(((x + 1) * 2) div loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)))) div (2 + 1))
A296306: 1 5 1 21 1 5 1 85 1 5 1 21 1 5 1 341
((loop(\(x,i).(x div (2 - (x mod 2))),x,(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))) + 2) div (2 + 1))
A126760: 0 1 1 1 1 2 1 3 1 1 2 4 1 5 3 2
((((loop(\(x,i).(((if (i mod 2) <= 0 then (2 + 2) else 1) + 1) * x),x,1) + 1) div (2 + 1)) + 2) div (2 + 1))
A081857: 0 1 1 3 11 23 111 223 1111 2223 11111 22223 111111 222223 1111111 2222223
(((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) + loop(\(x,i).(x * 2),(x + 2),(2 + 1))) + 2) * (2 + 1))
A235878: 51 105 231 537 1311 3345 8871 24297 68271 195585 568311 1668057 4930431 14643825 43636551 130319817
((compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) - 1)),(x + 1)) * 2) * (2 + 1))
A162886: 24 42 54 60 78 84 96 114 132 138 144 150 168 174 180 186
((loop(\(x,i).loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),(x - 2),x),1,(x + 1)) + 2) mod (2 + 1))
A122807: 0 1 1 2 1 2 1 0 2 0 1 2 1 0 2 0
((1 - ((loop(\(x,i).(x * 2),x,((if (x mod (2 + 2)) <= 0 then 2 else 0) + 2)) mod (x + 1)) div 2)) mod (2 + 1))
A113414: 1 1 0 1 2 2 0 1 1 2 0 2 2 2 0 1
(((loop(\(x,i).(x * 2),((loop(\(x,i).(i * x),x,2) mod (x + 1)) div 2),2) mod (x + 1)) * 2) mod (2 + 1))
A319395: 0 0 1 1 2 1 2 1 1 1 2 1 0 1 1 1
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(x - (1 - (((x + 1) * 2) * (2 + 1)))))
A017051: 48828125 743008370688 116490258898219 3670344486987776 50542106513726817 419430400000000000 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),(x div 2),((x + 1) mod 2))) div (2 + 1))
A122006: 0 1 2 9 24 81 234 729 2160 6561 19602 59049 176904 531441 1593594 4782969
((((if x <= 0 then 1 else loop(\(x,i).((i + x) - ((x + 1) div ((2 + 2) + 1))),x,0)) + 2) * 2) div (2 + 1))
A077075: 2 2 3 5 7 9 12 14 17 20 23 26 30 33 36 40
((((loop(\(x,i).(x - (x div ((x mod 2) - 2))),x,2) + loop(\(x,i).(x * 2),x,1)) div 2) + 2) div (2 + 1))
A036557: 1 1 2 3 6 10 20 35 70 126 252 463 926 1730 3460 6555
((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,1)) + ((2 + 2) * (2 + 1)))
A183981: 15 17 20 26 36 56 92 164 300 572 1100 2156 4236 8396 16652 33164
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,((2 + 2) * (2 + 1)))
A001041: 12 24 72 360 2520 27720 360360 6126120 116396280 2677114440 77636318760 2406725881560 89048857617720 3651003162326520 156993135980040360 4611686018427387903
((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * x),2,(x * 2)) * (x + 1)),x,2) div 2) * (2 + 1))
A306594: 3 144000 4611686018427387903 4611686018427387903
((loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 2 else 0) + x) + (((x * 2) * 2) * 2)),x,2) * 2) div (2 + 1))
A037602: 1 12 108 973 8760 78840 709561 6386052 57474468 517270213 4655431920 41898887280 377089985521 3393809869692 30544288827228 274898599445053
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A084922: 4 8 20 28 48 60 88 140 160 228 280 308 368 468 580 620
loop(\(x,i).((2 + 1) * x),((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2),(2 + 1))
A100627: 243 2187 177147 14348907 94143178827 7625597484987 50031545098999707 4052555153018976267 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,(2 + 1)) mod (x + 2))) mod ((x + 2) + 2)) mod (2 + 1))
A239003: 1 0 0 1 0 1 0 0 2 0 0 1 0 2 0 0
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(1 - (x - (((x * 2) * 2) * (2 + 1)))))
A017411: 1 743008370688 952809757913927 70188843638032384 1532278301220703125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017423: 2048 1792160394037 1521681143169024 96549157373046875 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 0 else (if x <= 0 then 1 else (((x + 2) div (((2 + 1) * 2) + 1)) + 2))) + ((x div 2) div (2 + 1)))
A029551: 0 2 2 2 2 3 4 4 4 4 4 4 6 6 6 6
loop(\(x,i).(0 - x),x,(1 - (compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) mod (2 + 1))))
A089045: 1 0 ~1 ~1 ~1 0 1 0 ~1 0 1 1 1 0 ~1 ~1
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1)),x,(2 + 1))
A037110: 3 76 38 19 476 238 119 2976 1488 744 372 186 93 2326 1163 29076
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 1) * x) * (2 + 1)) * (2 + 1)) + 1)),x,(2 + 1))
A037111: 3 82 41 1108 554 277 7480 3740 1870 935 25246 12623 340822 170411 4601098 2300549
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 1) * 2) + 1) * x) * (2 + 1)) + 1)),x,(2 + 1))
A037108: 3 64 32 16 8 4 2 1 22 11 232 116 58 29 610 305
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - (((x * 2) * 2) * ((2 + 2) + 1))))),x,(2 + 1))
A037107: 3 58 29 552 276 138 69 1312 656 328 164 82 41 780 390 195
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - ((((x * 2) * 2) * 2) * (2 + 1))))),x,(2 + 1))
A037109: 3 70 35 806 403 9270 4635 106606 53303 1225970 612985 14098656 7049328 3524664 1762332 881166
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((((2 + 2) * 2) * 2) * 2) + 1) * x) + 1)),x,(2 + 1))
A037114: 3 100 50 25 826 413 13630 6815 224896 112448 56224 28112 14056 7028 3514 1757
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((((2 + 2) * 2) * 2) * 2) - 1) * x) + 1)),x,(2 + 1))
A037113: 3 94 47 1458 729 22600 11300 5650 2825 87576 43788 21894 10947 339358 169679 5260050
loop(\(x,i).((x * x) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)))
A178398: 18 48 180 448 1584 2548 5508 7600 13248 26100 31744 53428 72324 83248 108288 154548
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,(2 + 2)) - loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 1)))
A081033: 1 13 121 997 7729 57853 423721 3059797 21887329 155555053 1100604121 7762822597 54632726929 383893932253 2694581744521 18898693305397
((((((((loop(\(x,i).(loop(\(x,i).(i * x),x,i) + i),x,0) div 2) + 1) + x) div 2) + 1) + x) * 2) + 1)
A172291: 3 7 13 1093
((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) * 2) + 1)
A125164: 11 21 25 31 39 41 47 51 53 61 67 69 71 73 81 91
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017363: 1977326743 34271896307633 5559060566555523 177917621779460413 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else ((2 + 2) + 1))),x,x) + 1),x) * 2) - 1)
A209839: 1 3 7 13 15 21 25 27 31 37 43 45 51 55 57 63
(x div ((loop(\(x,i).((x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * (i + 1)) + 1)) + 1),2,x) * 2) + 1))
A262436: 0 0 0 0 0 1 1 2 0 1 2 1 2 1 1 3
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2),1)
A269327: 49 343 16807 823543 1977326743 96889010407 232630513987207 11398895185373143 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A181151: 13 37 151 393 1453 2367 5203 7221 12697 25231 30753 52023 70603 81357 106033 151687
(loop(\(x,i).(((x * x) + 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A181150: 11 31 131 351 1343 2211 4931 6879 12191 24419 29823 50691 68963 79551 103871 148931
(2 - loop(\(x,i).(i - ((2 - x) * 2)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1))
A243139: 6 11 37 135 2059 8205 131089 524307 8388631 536870941 2147483679 137438953509 2199023255593 8796093022251 140737488355375 9007199254741045
(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),1) div ((((x mod 2) * x) div 2) + 1))
A089849: 1 1 2 1 6 2 20 5 70 14 252 42 924 132 3432 429
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1))
A147589: 1 1110 1111100 1111111000 1111111110000 1111111111100000 1111111111111000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x * 2),1))
A063079: 1 5 63 429 12155 88179 1300075 9694845 583401555 4418157975 67282234305 514589420475 15801325804719 121683714103007 1879204156221315 14544636039226909
loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),(x * 2),1))
A001795: 1 1 7 33 715 4199 52003 334305 17678835 119409675 1641030105 11435320455 322476036831 2295919134019 32968493968795 238436656380769
loop(\(x,i).((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 0 else 1) + ((((2 + 2) + 1) * x) * 2)),(x * 2),1)
A265688: 1 111 11101 1110111 111011101 11101110111 1110111011101 111011101110111 11101110111011101 1110111011101110111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) * 2) + 1) * ((x * 2) + 1))
A163506: 1 27 75 147 225 297 429 525 663 855 1029 1173 1375 1539 1827 2015
(((compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) * 2) + 1) mod ((x * 2) + 1))
A163505: 0 0 0 0 7 5 7 5 5 7 7 5 5 3 5 3
((loop(\(x,i).((((x * 2) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),(x * 2),1) + x) div ((x * 2) + 1))
A000971: 1 9 42 132 334 728 1428 2584 4389 7084 10963 16380 23751 33563 46376 62832
loop(\(x,i).(x * x),1,(if (2 - x) <= 0 then ((((x mod ((x div (2 + 2)) + 1)) div 2) + 1) + (x mod 2)) else 1))
A330571: 1 1 1 4 1 4 1 4 4 4 1 9 1 4 4 9
loop(\(x,i).i,((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) - (x mod 2)),1)
A319694: 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 6
(((if (x mod (2 + 1)) <= 0 then (((2 + 2) * (2 + 1)) + 1) else 1) * (if x <= 0 then 1 else 2)) div ((x mod 2) + 1))
A010229: 13 1 2 13 2 1 26 1 2 13 2 1 26 1 2 13
((((if (x mod (2 + 1)) <= 0 then (((2 + 2) + 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) div ((x mod 2) + 1))
A010191: 11 2 4 11 4 2 22 2 4 11 4 2 22 2 4 11
((((loop(\(x,i).(x - (if x <= 0 then 1 else (x div ((x mod 2) + 1)))),x,(x + 1)) + x) + x) - (x mod 2)) - 1)
A093050: 0 0 3 2 6 4 7 6 11 8 11 10 14 12 15 14
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,0)),x,1)
A294344: 1 9 79 679 5679 45679 345679 2345679 12345679 12345679 ~987654321 ~20987654321 ~320987654321 ~4320987654321 ~54320987654321 ~654320987654321
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) * (((2 + 1) * 2) + 1)) + 1)),x,1)
A033973: 1 36 18 9 316 158 79 2766 1383 48406 24203 847106 423553 14824356 7412178 3706089
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)) + 1)),x,1)
A033978: 1 46 23 1036 518 259 11656 5828 2914 1457 65566 32783 1475236 737618 368809 16596406
(compr(\x.(((compr(\x.loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),x) + 1) mod (2 + 1)) - 1),x) + 1)
A091177: 1 3 5 7 9 10 13 15 16 17 20 23 24 26 28 30
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)) + 1)),x,1)
A033975: 1 40 20 10 5 196 98 49 1912 956 478 239 9322 4661 181780 90890
(compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) mod (2 + 1)) - 1),x) + 1)
A138969: 1 2 4 6 8 9 12 14 15 16 19 22 23 25 27 29
loop(\(x,i).(((2 + 2) + 1) * x),compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),x),1)
A062875: 1 5 25 125 3125 15625 390625 1953125 48828125 6103515625 30517578125 3814697265625 95367431640625 476837158203125 11920928955078125 1490116119384765625
(if x <= 0 then 1 else (compr(\x.(1 - (x mod ((loop(\(x,i).(((2 + 1) * x) + 2),x,0) mod (x + 1)) + 1))),x) + 1))
A195101: 1 6 8 9 12 14 15 16 18 20 21 24 26 27 30 32
(compr(\x.((loop(\(x,i).((x + 1) * 2),x,2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1),x) + 1)
A241071: 1 2 4 6 8 10 12
A090778: 1 2 4 6 8 10 12 16 18 20 24 32 36 40 42 48
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (x - ((((x - (((x * 2) * 2) * 2)) * 2) * 2) - 1))),x,1)
A033971: 1 30 15 436 218 109 3162 1581 45850 22925 664826 332413 9639978 4819989 139779682 69889841
loop(\(x,i).(((x + 1) * 2) - (if ((x + 1) mod (((x mod ((x mod 2) + 2)) + 2) + 2)) <= 0 then 2 else 1)),x,1)
A112306: 1 3 6 13 27 54 109 218 437 874 1749 3499 6998 13997 27994 55989
(if x <= 0 then 0 else (((loop(\(x,i).i,(x - (((2 + 2) * 2) + 1)),1) * (((2 + 2) * 2) + 1)) + x) + 1))
A216589: 0 11 12 13 14 15 16 17 18 19 20 30 40 50 60 70
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (((2 + 2) * 2) + 1)),x,1)
A173192: 1 72 2916 87480 2165130 46766808 911952756 16415149608 277005649635 4432090394160 67810983030648 998670840996816 14231059484204628 197045439012064080 2660113426662865080 4611686018427387903
loop(\(x,i).((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else x) + x) + (((x * 2) * 2) * 2)) + 1),x,1)
A290112: 1 11 101 1011 10111 101111 1011111 10111111 101111111 1011111111 10111111111 101111111111 1011111111111 10111111111111 101111111111111 1011111111111111
loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)),1,((((2 + 2) + 1) * x) + 1))
A151989: 1 126 1001 3876 10626 23751 46376 82251 135751 211876 316251 455126 635376 864501 1150626 1502501
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x) + 1)
A005125: 1 2 4 5 7 8 13 14 19 20 22 23 25 29 34 35
loop(\(x,i).(((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))) * (((x div 2) mod 2) + 1)),x,1)
A257546: 1 1 2 6 24 40 80 140 280 504 1008 1848 3696 6864 13728 25740
(compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod (2 + 1)),x) + 1)
A138968: 3 5 7 10 11 13 17 18 20 21 24 26 28 30 33 35
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - (((((x * 2) * 2) * 2) * 2) * (2 + 1))))),x,1)
A033979: 1 48 24 12 6 3 142 71 3338 1669 78444 39222 19611 921718 460859 21660374
loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016263: 1 22 355 5080 68341 886522 11236135 140214460 1731001081 21207861022 258416964715 3136307268640 37953420452221 458300644483522 5525344125314095 66535757027375620
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016267: 1 23 387 5755 80171 1073163 13989067 178979915 2258870091 28217552203 349721737547 4307771961675 52804374651211 644763606925643 7848274394218827 95290403841737035
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016255: 1 20 297 3964 50369 624036 7625689 92469068 1116354417 13443332212 161649541001 1942101373212 23321364646945 279969412942148 3360424215557433 40330629408450796
loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * (2 + 1))),x,1)
A016247: 1 18 241 2910 33565 378546 4219993 46755846 516329845 5691721530 62681496241 689931815118 7591862105101 83526155988930 918881752875145 10108263503608086
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) + (x mod (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A081034: 1 15 162 1548 13896 120240 1016352 8457408 69618816 568707840 4620206592 37384915968 301618907136 2428188733440 19516934725632 156684026953728
loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016250: 1 17 210 2290 23411 230307 2210020 20850980 194384421 1796538997 16498405430 150792530070 1373280939031 12472565630087 113044350922440 1022937980063560
loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016252: 1 18 237 2770 30501 324618 3383437 34795170 354677301 3593852218 36268076637 364987647570 3666024644101 36773283619818 368524096449837 3690779786259970
loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016183: 1 18 247 3060 36061 413478 4665907 52148520 579398521 6413737338 70833585967 781146772380 8606455783381 94767902627598 1043125151976427 11479124233250640
loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),x,1)
A016261: 1 20 291 3730 44681 513240 5730271 62683550 675263061 7188478660 75807419051 793377882570 8251512054241 85374719599280 879483587504631 9026463398652790
(compr(\x.(2 - ((loop(\(x,i).(x * 2),x,2) - 1) mod ((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1))),x) + 1)
A157695: 4 8 10 14 16 20 22 25 26 28 32 34 35 38 40 44
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * 2),loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A147816: 1 1100 1110000 1111000000 1111100000000 1111110000000000 1111111000000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((loop(\(x,i).(x * 2),((x mod 2) + 2),(x div 2)) - 1) div (x + 2)) + (x * 2)) + 1),x,1)
A290198: 1 2 5 13 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534
loop(\(x,i).(((i * 2) + 1) * x),(x * 2),loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1))
A290819: 1 45 9450 4729725 4341887550 6352181485650 13566444744352500 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) * ((i * 2) - 1)) * ((i * 2) - 1)),x,1)
A283678: 1 2 54 4500 771750 225042300 99843767100 62673358948200 52880646612543750 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x) + 1)),x,1)
A033976: 1 42 21 862 431 17672 8836 4418 2209 90570 45285 1856686 928343 38062064 19031032 9515516
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x) + 1)),x,1)
A033974: 1 38 19 704 352 176 88 44 22 11 408 204 102 51 1888 944
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) + 1)),x,1)
A033980: 1 50 25 1226 613 30038 15019 735932 367966 183983 9015168 4507584 2253792 1126896 563448 281724
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,2) - loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1))
A016237: 1 16 191 2066 21441 218316 2202691 22124566 221733941 2219780816 22210015191 222161187066 2221917046441 22220696343316 222214592827691 2222184075249566
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 1 else 0)) mod (x + 1)),x) + 1)
A143390: 1 2 3 5 7 11 13 17 23 31 37 41 43 47 53 61
(if (x div (2 + 2)) <= 0 then ((x + 2) + 1) else (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))
A137922: 3 4 5 6 7 11 13 17 19 23 29 31 37 41 43 47
(compr(\x.(loop(\(x,i).((x * 2) * 2),1,(loop(\(x,i).((x * 2) * (0 - 2)),x,1) - 1)) mod (x + 1)),x) + 1)
A123091: 1 2 3 4 5 7 10 11 13 15 17 19 20 23 29 31
(compr(\x.(2 - ((loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),2) - 1) mod (x + 1))),x) + 1)
A119486: 9 12 15 18 20 21 24 25 27 28 30 33
(compr(\x.(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((x - i) * 2),x,2) mod (x + 1))) mod (x + 1)),x) + 1)
A187731: 1 2 3 5 7 11 13 15 17 19 23 29 31 37 41 43
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).((x - i) * 2),x,2) mod (x + 1))) mod (x + 1)),x) + 1)
A325623: 1 2 3 5 7 9 11 13 17 19 23 25 29 31 37 41
loop(\(x,i).(((x - 1) * x) div 2),1,(compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1))
A161777: 0 6 15 28 36 45 66 91 105 120 153 190 210 231 276 300
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(x * x),2,((((x mod 2) + 2) * 2) * 2)) mod (x + 1)),x) + 1))
A063755: 1 4 16 36 64 144 256 324 576 1024 1296 2304 2916 4096 5184 9216
(compr(\x.(loop(\(x,i).(((loop(\(x,i).(((x * 2) + 1) * x),2,2) * x) + 2) * x),2,x) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018442: 1 2 4 8 13 16 26 32 52 104 208 416
loop(\(x,i).(loop(\(x,i).(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1,i) + (x + 1)),x,1)
A097911: 1 3 5 8
A330038: 1 3 5 8 10 13 16 20 22 25 28 32 35 39 43 48
loop(\(x,i).(((((x * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)) * ((i * 2) + 1)) div (i + 1)),x,1)
A000894: 1 6 60 700 8820 116424 1585584 22084920 312869700 4491418360 65166397296 953799087696 14062422446800 208618354980000 3111393751416000 46619049708716400
loop(\(x,i).((x - (((x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) mod (2 + 1)) - 1)) * 2),x,1)
A168673: 1 4 10 20 38 74 148 298 598 1196 2390 4778 9556 19114 38230 76460
(compr(\x.((x - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) + 1))) mod 2),x) + 1)
A124934: 2 5 8 11 12 14 17 19 20 23 26 29 30 32 33 35
(((((((if (x div 2) <= 0 then 1 else ((if (x mod 2) <= 0 then 2 else x) div 2)) mod (2 + 2)) + 1) div 2) * 2) + x) - 1)
A199426: 1 2 3 4 5 6 7 10 9 8 11 12 13 14 15 18
loop(\(x,i).((((((if (x - 2) <= 0 then x else (((x + 2) + 2) + 1)) * (x + 2)) div 2) + 1) div 2) * 2),x,1)
A248872: 1 2 4 28 496
loop(\(x,i).(loop(\(x,i).(x - ((((2 + 2) + 1) * x) * 2)),(i - 1),1) + (((x * 2) * 2) * 2)),x,1)
A165510: 1 9 63 585 3951 38169 246303 2501865 15231951 164902329 931798143 10941169545 56148296751 731615910489 3311061455583 49365284099625
loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),x,1)
A016259: 1 20 293 3808 46569 549708 6346381 72206936 813450257 9101344516 101341923189 1124578223184 12448896999865 137566159357244 1518254091799517 16741005720753352
loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,(i + 1)) + ((x * 2) * 2)),x,1)
A029760: 1 8 47 244 1186 5536 25147 112028 491870 2135440 9188406 39249768 166656772 704069248 2961699667 12412521388
(((if x <= 0 then 1 else (((x div (if (x mod (2 + 2)) <= 0 then (2 + 2) else 1)) mod 2) + ((x * 2) * 2))) + x) + 1)
A297469: 2 7 11 17 22 27 31 37 41 47 51 57 62 67 71 77
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,(x + 2)) - loop(\(x,i).((x * 2) * 2),x,1))
A112613: 1 5 24
A296770: 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 4035441491
loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),x,1)
A016238: 1 17 218 2554 28875 321531 3556372 39217748 431883509 4753160005 52296967086 575327673102 6328909579903 69619531257839 765822473230760 8424085352511016
loop(\(x,i).((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2) + x) + ((x * 2) * 2)),x,1)
A144635: 1 7 41 225 1195 6227 32059 163727 831505 4206145 21215481 106782837 536618341 2693492305 13507578125 67693008145
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * 2) div (if i <= 0 then 2 else i)) + ((x * 2) * 2)),x,1)
A020930: 1 38 798 12236 152950 1651860 15967980 141430680 1166803110 9075135300 67156001220 476197099560 3254013513660 21526550936520 138384970306200 867212480585520
(loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),x,1) mod loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A204544: 0 5 25 375 625 59375 390625 859375 62890625 443359375 6650390625 49755859375 746337890625 6195068359375 92926025390625 893890380859375
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A155872: 2 21 221 2331 24641 261051 2771561 29487171 314358881 3357947691 35937424601 385311670611 4138428376721 44522712143931 479749833583241 5177248169415651
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A016195: 0 1 21 331 4641 61051 771561 9487171 114358881 1357947691 15937424601 185311670611 2138428376721 24522712143931 279749833583241 3177248169415651
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) mod loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A091947: 0 1 21 331 4641 61051 771561 9487171 14358881 357947691 5937424601 85311670611 138428376721 4522712143931 79749833583241 177248169415651
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x + 2),loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A244663: 111 10111 1001111 100011111 10000111111 1000001111111 100000011111111 10000000111111111 1000000001111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x) + 1)
A024913: 1 2 3 5 6 8 9 11 12 17 18 20 23 24 27 29
(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),(((((x div 2) div (2 + 1)) + x) div 2) + x),1))
A056577: 0 1 1 11 17 115 217 139 2465 3299 26281 46075 7153 545747 588665 5960299
loop(\(x,i).(x - ((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1) + x) * 2)),x,1)
A181641: 1 ~3 1 ~5 ~5 ~23 ~61 ~203 ~655 ~2205 ~7519 ~26073 ~91499 ~324525 ~1161275 ~4187605
loop(\(x,i).((loop(\(x,i).((((i * 2) - 1) * x) * 2),i,1) + x) + ((((i * 2) + 1) * x) * 2)),x,1)
A143167: 1 9 111 1785 35595 848925 23586255 748471185 26715409875 1059544210725 46230843633975 2201008238854425 113546715232225275 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((x * x) * (x * x)) + 1) * ((x * x) + 1)) * (x + 1)),1,loop(\(x,i).(x * 2),x,1))
A034674: 8 255 21845 2396745 286331153 35468117025 4467856773185 567382630219905 72340172838076673 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((x * x) div 2) mod (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1)) + loop(\(x,i).(x * 2),x,1))
A083322: 1 2 6 11 22 42 85 170 342 683 1366 2730 5461 10922 21846 43691
(loop(\(x,i).((((((i * x) div (i + 1)) + x) * i) * (i - 1)) + x),x,1) + loop(\(x,i).(x * 2),x,1))
A201363: 2 3 7
A119662: 2 3 7 41 757
loop(\(x,i).(((if (x div 2) <= 0 then 2 else (((2 + 2) + 1) * x)) + ((x * 2) * (2 + 1))) + (x mod 2)),x,1)
A056002: 1 9 100 1100 12100 133100 1464100 16105100 177156100 1948717100 21435888100 235794769100 2593742460100 28531167061100 313842837672100 3452271214393100
loop(\(x,i).(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x) * (2 - (x mod 2))),x,1)
A303557: 1 2 12 120 1680 36960 960960 32672640 1241560320 57111774720 3312482933760 205373941893120 15197671700090880 1246209079407452160 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1))
A038679: 3 14 59 242 982 3964 15955 64106 257282 1031780 4135518 16569204 66365964 265761016 1064046979 4259609626
((((1 - (x * 2)) mod loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)) + 1) div (x + 1))
A289653: 1 1 1 4 12 40 130 427 1428 4860 16794 58784 208010 742898 2674438 9694843
loop(\(x,i).(if x <= 0 then 1 else (x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1)))),(2 + 1),(x + 1))
A132125: 1 2 3 4 5 6 7 7 7 7 8 8 9 9 9 9
compr(\x.(x mod (((x mod loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x)) * 2) + 1)),(x + 1))
A034884: 2 3 4 6 8 10 12 14 15 16 18 20 24 28 30 32
loop(\(x,i).(((x + 1) * x) div 2),1,(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (x + 1)))
A077695: 1 253 55611 9876790 1543206790 222222111111 30246911419753 3950617249382716 499999999500000000 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (x + 1))
A186414: 1 2 24 500 13720 444528 16099776 631628712 26317863000 1149330319280 52120705189696 2437827529099872 117006104720150464 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),(x - 2),((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,x) + 1) div (x + 1)))
A291807: 1 5 67 3000
(((if x <= 0 then 2 else (((if (x mod 2) <= 0 then 1 else ((0 - x) - 1)) + x) - (x div (2 + 1)))) div 2) + (x + 1))
A054082: 2 1 4 3 7 5 9 6 12 8 15 10 17 11 20 13
(((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) * (x + 1)) div 2) * (x + 1))
A259455: 1 30 270 1400 5250 15876 41160 95040 200475 393250 726726 1277640 2153060 3498600 5508000 8434176
loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),((2 + 2) * 2),(x + 1))
A147575: 9699690 19399380 29099070 38798760 48498450 58198140 67897830 77597520 87297210 96996900 106696590 116396280 126095970 135795660 145495350 155195040
(loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) + ((((x + 1) * x) div 2) * (x + 1)))
A008779: 1 7 24 59 120 216 357 554 819 1165 1606 2157 2834 3654 4635 5796
((loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,2)) * (x + 1))
A018217: 0 4 36 232 1300 6744 33320 159184 742068 3395320 15308920 68213424 300999816 1317415792 5726300880 24742452128
((loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + x),(x + 2),x) * 2) * (x + 1))
A177082: 6 32 90 208 390 672 1050 1568 2286 3160 4290 5664 7254 9128 11370 14016
(((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) + loop(\(x,i).(x * 2),x,2)) + 1) + ((x + 2) * (x + 1)))
A169878: 8 20 48 118 306
((x * 2) mod (x - loop(\(x,i).(x - (if x <= 0 then 1 else ((((2 + 2) * (2 + 1)) - 1) * i))),2,(x + 1))))
A004521: 0 2 4 6 8 10 1 3 5 7 9 22 24 26 28 30
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x)),(x + 1))
A153307: 3 6 8 9 10 12 13 15 18 21 23 24 27 28 30 31
((x + 1) div loop(\(x,i).((2 - (x mod (2 + 2))) * x),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))))
A055975: 1 2 ~1 4 1 ~2 ~1 8 1 2 ~1 ~4 1 ~2 ~1 16
loop(\(x,i).(x div (2 - (x mod 2))),x,compr(\x.loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x),(x + 1)))
A207873: 1 1 1 5 1 9 5 1 17 9 5 21 1 33 17 9
(((((x + 1) * 2) div ((2 + 2) + 1)) + 1) div (loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + 1))
A194543: 1 1 1 2 1 1 3 2 1 1 5 2 2 1 1 7
loop(\(x,i).((if (x mod (((2 + 2) * 2) + 1)) <= 0 then (((x + 1) * (2 + 1)) * (2 + 1)) else 1) + x),x,1)
A239138: 1 2 3 4 5 6 7 8 9 99 999 9999 99999 999999 9999999 99999999
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) - loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A016197: 0 1 23 397 6095 87781 1214423 16344637 215622815 2801832661 35979939623 457696700077 5777672071535 72470493235141 904168630965623 11229773405170717
(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,1) mod loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1))
A245805: 0 1 23 397 6095 87781 1214423 16344637 1263934 443884970 10042515022 172385029466 2639243694814 3425068947279 144668963799141 2875277066339415
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A139745: 0 4 72 988 12240 144244 1653912 18663628 208594080 2317594084 25654949352 283334343868 3124587089520 34425823133524 379071610510392 4172500607905708
((x * 2) - (loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)))
A121203: 0 4 28 224 1784 13692 102036 745432 5374192 38400500 272709644 1928498640 13597146600 95668307308 672119557252 4717043931848
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (x * 2)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A121201: 2 10 70 462 3018 19922 133262 901654 6155410 42306714 292240854 2026154846 14085427802 98109713506 684326588446 4778079088038
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(x - 1),x) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A081107: 1 8 63 490 3773 28812 218491 1647086 12353145 92236816 686011319 5084554482 37569208117 276825744020 2034669218547 14920907602678
((((x * 2) * 2) * 2) - (loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)))
A120969: 0 10 32 122 576 2922 14944 75994 384128 1933514 9706656 48651066 243609280 1219108906 6098732768 30503229338
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + (x * 2)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A121200: 2 14 78 474 3034 19942 133286 901682 6155442 42306750 292240894 2026154890 14085427850 98109713558 684326588502 4778079088098
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - (x * 2)) - loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A121204: 0 0 20 212 1768 13672 102012 745404 5374160 38400464 272709604 1928498596 13597146552 95668307256 672119557196 4717043931788
loop(\(x,i).(((((if ((x mod ((2 + 2) + 1)) mod 2) <= 0 then 1 else (x mod (2 + 1))) + x) mod 2) + 1) + x),x,1)
A229785: 1 2 4 6 7 8 9 10 12 14 16 18 19 20 22 24
loop(\(x,i).(loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) * ((2 + 2) + 1)),i,1) + x),x,1)
A112699: 1 6 56 681 9431 140681 2203181 35718806 594312556 10090406306 174113843806 3044524000056 53828703687556 960689055250056 17284175383375056 313147365080640681
loop(\(x,i).(loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * (2 + 1)),i,1) + x),x,1)
A112700: 1 7 79 1159 19303 345895 6504487 126597031 2528447911 51526205863 1067116097959 22394503831975 475191351108007 10177980935594407 219758235960500647 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((((x * 2) * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * 2),i,1) + x),x,1)
A112702: 1 9 137 2697 60041 1436297 36039305 935717513 24927136393 677493729929 18712061405833 523679956331145 14818155751139977 423231749888535177 4611686018427387903 4611686018427387903
loop(\(x,i).(((x - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1)) * 2) + x),x,1)
A137720: 1 1 1 ~1 ~13 ~67 ~285 ~1119 ~4215 ~15505 ~56239 ~202309 ~724499 ~2589521 ~9254363 ~33111969
((((((if x <= 0 then 2 else loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x)) + x) + x) + x) + x) - 1)
A313117: 1 4 9 14 19 24 29 34 39 44 49 54 58 62 67 72
loop(\(x,i).((((((2 + 1) * x) * (2 + 1)) * (((2 + 1) * 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017727: 1 64 2080 45760 766480 10424128 119877472 1198774720 10639125640 85113005120 621324937376 4179822305984 26123889412400 152724276564800 839983521106400 4367914309753280
loop(\(x,i).(((((((2 + 2) * (2 + 1)) + 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017729: 1 66 2211 50116 864501 12103014 143218999 1473109704 13442126049 110524147514 828931106355 5727160371180 36749279048405 220495674290430 1244225590638855 6635869816740560
loop(\(x,i).(((((((2 + 2) * (2 + 1)) - 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017719: 1 56 1596 30856 455126 5461512 55525372 491796152 3872894697 27540584512 179013799328 1074082795968 5996962277488 31368725759168 154603005527328 721480692460864
loop(\(x,i).(((((((2 + 2) * (2 + 1)) - 1) * x) * ((2 + 2) + 1)) div (if i <= 0 then 1 else i)) - x),x,1)
A017770: 1 54 1431 24804 316251 3162510 25827165 177100560 1040465790 5317936260 23930713170 95722852680 343006888770 1108176102180 3245372870670 8654327655120
loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1)
A017763: 1 100 5050 171700 4421275 91962520 1609344100 24370067800 325949656825 3911395881900 42634215112710 426342151127100 3943664897925675 33976189889821200 274236389824985400
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),((x div 2) + 1),(if (x mod 2) <= 0 then 1 else (0 - 2)))
A099364: 1 ~2 2 ~4 5 ~10 14 ~28 42 ~84 132 ~264 429 ~858 1430 ~2860
(loop(\(x,i).((loop(\(x,i).(x + 1),(x div (((i * 2) * 2) - 1)),(x + 1)) mod 2) + (x * 2)),x,0) div 2)
A215411: 0 0 1 2 5 10 21 42 84 169 338 677 1355 2710 5420 10841
(loop(\(x,i).(loop(\(x,i).(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),1,i) + x),x,0) * 2)
A077071: 0 2 8 16 30 46 66 88 118 150 186 224 268 314 364 416
(((if (x mod (2 + 2)) <= 0 then 0 else (if (x mod ((((x * 2) mod (2 + 1)) * 2) + 1)) <= 0 then 2 else 0)) + 1) * 2)
A240501: 2 2 2 6 2 2 6 2 2 6 6 2 2 2 2 6
((if (x mod (2 + 2)) <= 0 then 2 else (((x div 2) div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) div 2)
A144477: 1 0 0 0 1 1 0 1 1 1 0 1 1 2 1 2
((if x <= 0 then 2 else ((x div ((((if (x mod (2 + 1)) <= 0 then 2 else 1) + (x mod 2)) * (2 + 1)) + 1)) + 1)) div 2)
A277210: 1 0 0 0 1 0 0 1 1 0 1 1 1 1 2 1
(((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1)) + 1) div 2)
A007008: 0 1 1 3 5 11 22 47 93 193 386 793 1586 3238 6476 13167
((((loop(\(x,i).((0 - x) * (2 + 1)),x,2) + loop(\(x,i).((x * 2) * 2),x,1)) div (2 + 1)) + 1) div 2)
A192355: 1 0 6 2 70 90 926 2002 13110 37130 194446 640002 2973350 10653370 46333566 174174002
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017651: 100000000000 584318301411328 70188843638032384 1951354384207722496 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if (x div 2) <= 0 then x else (((loop(\(x,i).(x * 2),(x - ((2 + 2) + 1)),1) + x) * (2 + 1)) + 1)) + 2)
A173903: 2 3 12 15 18 21 27
((loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * (2 + 2)) * ((i * 2) - 1)),x,1) + 1) div 2)
A187535: 1 2 36 1200 58800 3810240 307359360 29682132480 3339239904000 428906814336000 61934143990118400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(((if (((((x + 2) mod (2 + 2)) + 2) * 2) - x) <= 0 then 2 else 1) mod (x + 1)) + 1),2)
A054006: 4 8 8 8 8 8 16 16 16 8 16 16 16 16 16 16
(loop(\(x,i).((loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),i,1) + x) + (x * 2)),(x + 1),1) * 2)
A337418: 32 290 2240 16322 116192 819170 5751680 40314242 282357152 1976972450 13840224320 96885821762 678213506912 4747532812130 33232844476160 232630255706882
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 1) * 2)
A088525-A054735: 8 12 24 36 60 84 120 144 204 216 276 300 360 384 396 456
(loop(\(x,i).((x * 2) * 2),(x + 1),((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) * 2)
A255932: 8 64 128 2048 2048 16384 32768 1048576 524288 4194304 8388608 134217728 134217728 1073741824 2147483648 137438953472
((((x - ((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * ((2 + 2) + 1)) - 1)) div 2) + 1) div 2)
A294317: 0 2 1 4 3 2 6 5 4 3 8 7 6 5 4 10
(x div (((((x div ((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * 2) + 1)) + 1) div 2) + 1) * 2))
A109754: 0 0 1 0 1 1 0 1 2 2 0 1 3 3 3 0
(((if x <= 0 then 1 else (x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2))) + 1) div 2)
A070821: 1 0 0 1 0 1 0 2 1 1 0 2 0 1 1 4
(if x <= 0 then 1 else (((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * 2))
A278525: 1 2 2 4 2 4 2 8 6 4 2 8 2 4 6 16
(if x <= 0 then 1 else ((((x - (((loop(\(x,i).((i + x) + x),(x - 2),1) div 2) mod 2) - 1)) div 2) + 1) * 2))
A256416: 1 4 4 4 6 6 8 10 10 10 12 14 14 14 16 18
((((((loop(\(x,i).(x - (((x div (if i <= 0 then 1 else i)) - x) div 2)),x,1) div 2) div 2) + 1) div 2) + 1) div 2)
A173693: 0 0 0 0 1 1 1 1 2 2 3 5 7 10 14 20
((((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i - 1),x) + x),x,1) * ((2 + 2) + 1)) div 2) + 1) div 2)
A188545: 1 3 10
A015487: 1 3 10 100 2800 229600 56022400 40896352000 89481218176000 587175753670912000 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)),1,(x + 1)) div 2) + 1) div 2)
A064577: 0 0 1 0 1 0 2 1 1 0 3 0 1 1 4 0
(if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,(x - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1) * 2))
A062570: 1 2 2 4 4 4 6 8 6 8 10 8 12 12 8 16
((x - loop(\(x,i).i,((loop(\(x,i).((x + 1) * 2),x,(1 - ((x mod 2) * 2))) mod (x + 1)) div 2),1)) + 2)
A141258: 1 2 3 4 5 6 7 6 9 10 11 10 13 14 11 10
((if (x mod 2) <= 0 then (((((2 - x) mod (2 + 2)) * ((2 + 2) + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040481: 22 2 4 2 44 2 4 2 44 2 4 2 44 2 4 2
(((((loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).((x + 1) * 2),x,0)) div 2) div 2) div 2) + 1) div 2)
A288720: 0 1 16 184 1744 15136 126016 1028224 8306944 66781696 535561216 4289726464 34338770944 274794029056 2198687727616 17590843899904
((((loop(\(x,i).((x * x) * 2),(if x <= 0 then 1 else (x * 2)),2) div 2) + (((2 + 2) * 2) * 2)) + 1) + 2)
A104068: 23 83 1073741843 4611686018427387903 4611686018427387903
(((((loop(\(x,i).((x + 2) * x),1,((if (x mod 2) <= 0 then 2 else 0) + (x div 2))) div 2) div 2) div 2) + 1) div 2)
A025802: 1 0 1 0 2 1 2 1 3 2 4 2 5 3 6 4
(((loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),(x + 2),2) div 2) + 1) div 2)
A002661: 1 2 3 5 10 18 35 63 126 231 462 858 1716 3218 6435 12155
(((loop(\(x,i).(loop(\(x,i).(x * 2),x,2) mod (x + 1)),1,((x + 1) * 2)) - 1) div ((2 + 2) + 1)) + 2)
A195352: 2 2 2 3 2 2 3 2 2 3 2 3 7 2 2 3
loop(\(x,i).(x * 2),((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((2 + 2) + 1)),2)
A100629: 2048 65536 67108864 68719476736 72057594037927936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(if (x mod 2) <= 0 then 1 else x),1) - (((2 + 2) + 1) * 2))
A277864: 1 1 1 1101 1 111101 1 11111101 1 1111111101 1 111111111101 1 11111111111101 1 1111111111111101
(if x <= 0 then 1 else ((((if (2 - (x mod (((2 - x) mod (2 + 2)) + 1))) <= 0 then x else 1) + 1) div (2 + 1)) + 2))
A305980: 1 2 2 3 2 2 2 4 5 2 2 6 2 2 2 7
(if x <= 0 then 1 else ((((2 + 1) * x) - (((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1) div (2 + 1))) * 2))
A315327: 1 6 10 16 22 26 30 36 42 46 52 58 62 68 74 78
((if x <= 0 then 1 else ((if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 2) * (2 + 1))) + 2)
A278545: 3 5 5 5 8 5 5 8 8 5 5 8 8 8 5 5
(((loop(\(x,i).(((x * x) div 2) * x),1,loop(\(x,i).(1 - (x * 2)),x,(2 + 1))) div 2) div (2 + 1)) div 2)
A015266: 1 ~5 55 ~385 3311 ~25585 208335 ~1652145 13275471 ~105970865 848699215 ~6785865905 54301841231 ~434355079345 3475079247695 ~27799679551665
(if x <= 0 then 1 else (((loop(\(x,i).((x + 1) * 2),(((x + 1) div 2) div (2 + 1)),1) + x) div (2 + 1)) + 2))
A308172: 1 2 3 3 3 5 5 5 6 6 6 9 9 9 10 10
(if x <= 0 then 1 else ((compr(\x.((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) - 1),x) * (2 + 1)) + 2))
A162939: 1 5 8 11 17 20 26 29 35 44 47 56 62 65 71 80
((if (x mod 2) <= 0 then ((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) * (2 + 1)) else 1) div ((x mod (2 + 1)) + 2))
A341980-A219202: 1 0 0 0 1 0 1 0 0 0 2 0 3 0 1 0
((((x + 1) mod ((if x <= 0 then 2 else loop(\(x,i).((x - (((x div 2) mod 2) - 1)) div 2),2,x)) + 2)) + 1) div 2)
A293112-A292085-A286653-A262163-A255636: 1 1 0 1 1 0 1 1 1 0 1 1 2 2 0 1
(loop(\(x,i).(((i - 1) * i) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1) div 2)
A127920: 1 4 20 56 220 364 816 1140 2024 4060 4960 8436 11480 13244 17296 24804
((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,((x + 2) + 2)) * ((x + 2) + 1)) div 2)
A001303: 6 50 225 735 1960 4536 9450 18150 32670 55770 91091 143325 218400 323680 468180 662796
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),(x * 2),1)) div 2)
A081192: 1 10 101 1030 10601 110050 1151501 12135070 128702801 1372684090 14712104501 158346365110 1710428956601 18532288986130 201313313019101 2191569650755150
(if x <= 0 then 1 else loop(\(x,i).((x * x) * x),1,((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)))
A342980: 1 0 0 0 1 0 0 1 1 0 0 1 8 1 0 0
(((x + 2) div (loop(\(x,i).((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1),(x div 2),(x mod 2)) + 1)) div 2)
A029368: 1 0 0 0 1 0 0 1 1 0 0 2 2 0 1 2
((loop(\(x,i).((x * 2) * (2 + 1)),((x + 1) div 2),1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A056308: 1 6 21 126 666 3996 23436 140616 840456 5042736 30236976 181421856 1088414496 6530486976 39182222016 235093332096
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)) - loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A165150: 1 12 132 1392 14352 146112 1476672 14860032 149160192 1494961152 14969766912 149818601472 1498911608832 14993469652992 149960817917952 1499764907507712
(loop(\(x,i).(x div ((x mod 2) + 1)),(x * 2),loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) div 2)
A086223: 0 1 3 69 694 6944 69444 694444 6944444 69444444 694444444 6944444444 69444444444 694444444444 6944444444444 69444444444444
(loop(\(x,i).(x div (2 - (x mod 2))),x,loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1)) * 2)
A322756: 2 6 10 70 126 462 858 12870 24310 92378 176358 1352078 2600150 10029150 19389690 601080390
((loop(\(x,i).((((x * 2) * 2) + (x mod 2)) + 1),x,1) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)) div 2)
A099621: 0 1 6 31 144 637 2730 11467 47508 194953 794574 3222583 13023192 52491349 211161138 848231779
((compr(\x.(loop(\(x,i).(x * x),2,((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1)) mod (x + 1)),x) + 1) * 2)
A278568: 2 6 10 14 18 22 26 34 38 46 50 54 58 62 74 82
((compr(\x.(2 - (loop(\(x,i).(x * 2),x,(if ((x div (2 + 1)) - 2) <= 0 then 2 else 1)) mod (x + 1))),x) + 1) * 2)
A334166: 6 10 12 14 18 20 24 28 30 36 40 42 44 48 50 52
((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),x,(2 + 1)) - loop(\(x,i).(((x * 2) * 2) * 2),x,1)) div 2)
A165152: 1 14 184 2336 29056 356864 4347904 52699136 636583936 7672561664 92339175424 1110217588736 13339790934016 160214930161664 1923678673567744 23092940175835136
((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) + loop(\(x,i).((x * 2) * 2),x,1)) div 2)
A032443: 1 3 11 42 163 638 2510 9908 39203 155382 616666 2449868 9740686 38754732 154276028 614429672
(loop(\(x,i).(((x - 1) * x) * ((2 + 2) + 1)),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * 2)
A093798: 0 900 99000 9990000 999900000 99999000000 9999990000000 999999900000000 99999999000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
A093230: 0 900 99000 9990000 999900000 99999000000 9999990000000 999999900000000 99999999000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (loop(\(x,i).((((x div ((((x div 2) div (2 + 1)) + 2) + 1)) mod 2) + x) + 2),x,1) * 2))
A315727: 1 6 12 18 22 26 30 36 42 48 54 60 66 70 74 78
loop(\(x,i).((((i * 2) + 1) * x) * 2),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1),2)
A262204: 12 120 30240 17297280 28158588057600 64764752532480000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(x * 2),(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2),1) div 2) + 1) mod (x + 1)) div 2)
A292377: 0 0 1 0 1 1 2 0 0 1 3 1 3 2 2 0
loop(\(x,i).(x * x),1,(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),(x + 1)) div 2))
A337901: 1 25 441 7056 108900 1656369 25050025 378224704 5712638724 86394844900 1308887012356 19868414760000 302198588499600 4605510959127225 70321771565375625 1075697380745222400
(compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) div 2) mod 2),(x + 1)) + 2)
A024705: 3 5 6 8 10 12 14 16 17 18 19 23 26 28 29 32
((loop(\(x,i).((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) * (x + 1)) div 2)
A104670: 1 24 216 1200 4950 16632 48048 123552 289575 629200 1283568 2482272 4585308 8139600 13953600 23193984
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2)
A087679: 5 9 15 21 39 45 69 81 99 105 111 129 165 195 225 231
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) * 2)
A165986: 6 14 26 38 74 86 134 158 194 206 218 254 326 386 446 458
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) div 2)
A047847: 1 3 6 9 18 21 33 39 48 51 54 63 81 96 111 114
(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2)
A029708: 9 15 21 39 45 69 81 99 105 111 129 165 195 225 231 279
((if (x mod (((x mod (2 + 2)) * 2) + 1)) <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 2)
A162277: 3 3 5 3 3 5 9 3 3 3 3 5 3 9 17 3
((loop(\(x,i).(((2 + 2) + 1) * x),((x + 1) div 2),1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A032122: 1 5 15 75 325 1625 7875 39375 195625 978125 4884375 24421875 122078125 610390625 3051796875 15258984375
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A152429: 1 8 73 728 7633 82088 893593 9782648 107374753 1179950408 12973595113 142680249368 1569336258673 17261966423528 189877968549433 2088639343496888
((loop(\(x,i).(x - ((((2 - x) - (x * 2)) * 2) * 2)),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A198900: 1 4 33 380 4801 62004 804833 10459180 135958401 1767426404 22976444833 298693487580 3883014452801 50479185229204 656229400008033 8530982176189580
(loop(\(x,i).((((loop(\(x,i).((x * 2) * 2),(i - 1),1) * (2 + 1)) - (x mod 2)) + 1) - x),x,1) div 2)
A227451: 0 1 5 18 77 306 1229 4914 19661 78642 314573 1258290 5033165 20132658 80530637 322122546
(((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),(x + 1)) * (2 + 1)) div 2) * 2)
A107755: 2 8 12 26 30 36 38 80 84 90 92 108 110 116 120 242
(((loop(\(x,i).(((x + 2) * x) - 2),1,loop(\(x,i).((x * 2) * 2),(x div 2),1)) mod (x + 1)) + 2) div 2)
A332294: 1 1 1 2 1 3 1 4 3 4 1 6 1 5 4 8
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 2) * 2)
A176810: 10 14 26 38 62 86 122 146 206 218 278 302 362 386 398 458
(if x <= 0 then 1 else ((if (x mod ((2 + 2) + 1)) <= 0 then 0 else (1 - (((x div ((2 + 2) + 1)) mod 2) * 2))) * 2))
A305029: 1 2 2 2 2 0 ~2 ~2 ~2 ~2 0 2 2 2 2 0
((((((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * x),(x - 1),2)) * x) div 2) * (x - 1)) div 2) div 2) div 2)
A087085: 0 0 2 48 3072 2621440 515396075520 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),(x div 2),(2 - ((if x <= 0 then 1 else (((x - ((x mod (2 + 1)) div 2)) div 2) div 2)) mod 2)))
A236680: 1 2 4 4 4 4 8 8 16 32 64 64 64 64 128 128
((x * 2) - (loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((((x + 1) div 2) div 2) + 2) + 2)))
A095834: 0 2 0 6 3 0 12 8 4 0 20 15 10 5 0 30
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * loop(\(x,i).((x * x) * (2 + 2)),2,2))
A137485: 3072 5120 7168 11264 13312 17408 19456 23552 29696 31744 37888 41984 44032 48128 54272 60416
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) mod (loop(\(x,i).(((x * x) * x) + 2),2,2) - 2))
A216131: 1 11 121 331 641 51 561 171 881 691 601 611 721 931 241 651
(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - ((2 + 2) * 2))
A153482: 8 73 617 2393 14633 28553 83513 130313 279833 707273 923513 1874153 2825753 3418793 4879673 7890473
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * loop(\(x,i).(x * x),2,((2 + 2) * 2)))
A137489: 12288 20480 28672 45056 53248 69632 77824 94208 118784 126976 151552 167936 176128 192512 217088 241664
((compr(\x.loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,x),x) + 1) + (x div ((2 + 2) * 2)))
A063756: 1 2 3 5 6 8 9 14 16 18 19 24 25 27 28 42
(x mod ((((if (x mod (2 + 1)) <= 0 then (if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) else 0) + x) mod (2 + 2)) + 2))
A337005: 0 1 2 1 0 2 1 2 0 1 2 1 0 1 2 0
(((((loop(\(x,i).((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x),x,(x + 1)) div 2) + x) + 2) + 2) + 2)
A026286: 6 8 10 12 14 17 20 23 26 29 31 34 36 39 41 44
(1 - ((loop(\(x,i).((x - 2) * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2) + 2) * 2))
A098231: ~7 ~3 21 117 2037 8181 131061 524277 8388597 536870901 2147483637 137438953461 2199023255541 8796093022197 140737488355317 9007199254740981
((loop(\(x,i).(x * 2),x,((((loop(\(x,i).((i + x) * 2),x,x) div 2) + 2) + 2) + (x * 2))) div 2) div 2)
A082307: 1 4 16 66 280 1208 5248 22816 98944 427392 1838080 7870976 33568768 142637056 604045312 2550276096
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + (((x * 2) * 2) * 2))
A120948: 2 16 50 176 738 3408 16402 80368 397250 1972880 9824754 49005360 244672162 1222297552 6108298706 30531927152
((loop(\(x,i).(((((if (i mod 2) <= 0 then 2 else 0) + x) div (2 + 1)) + x) + 1),(x div 2),(x mod 2)) + 2) + 2)
A120189: 4 5 5 6 7 8 9 10 12 13 15 17 20 23 26 30
(((if (x mod (2 + 2)) <= 0 then ((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((x mod 2) + 2)) * 2)
A040764: 28 6 4 6 56 6 4 6 56 6 4 6 56 6 4 6
(((if x <= 0 then 1 else compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)) - 1) + (((x mod 2) * 2) * 2))
A082455: 0 4 1 7 5 13 11 19 17 25 27 33 35 43 41 49
((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (i + 1))),x,x) + 1),x) + 1) * (2 + 2))
A186293: 8 20 36 44 48 56 68 96 116 120 128 140 156 168 176 200
(((if x <= 0 then 1 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * x)) - 1) mod (2 + 2))
A340867: 0 2 1 0 3 0 1 0 3 0 1 2 3 2 1 2
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * loop(\(x,i).((x * x) * x),2,(2 + 2)))
A175747: 786432 1310720 1835008 2883584 3407872 4456448 4980736 6029312 7602176 8126464 9699328 10747904 11272192 12320768 13893632 15466496
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,(2 + 2)))
A212403: 5 19 74 291 1150 4558 18100 71971 286454 1140954 4547020 18129294 72309164 288493756 1151300584 4595507491
((((loop(\(x,i).(((if (x - (2 + 2)) <= 0 then 1 else 2) + x) + (x div (2 + 2))),x,1) - 1) + x) div 2) div 2)
A239468: 0 0 1 1 2 3 4 6 7 10 12 16 20 25 31 39
((((if x <= 0 then 1 else (x - ((x + 1) mod (((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2)))) + x) div 2) + 2)
A093841: 2 3 3 5 5 7 7 8 8 9 9 13 13 14 14 15
((loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,2)) * 2)
A332705: 6 72 1056 18048 336384 6531072 129048576 2568388608 51267108864 1024536870912 20484294967296 409634359738368 8192274877906944 163842199023255552 3276817592186044416 4611686018427387903
(loop(\(x,i).((x * x) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138416: 2 9 50 147 605 1014 2312 3249 5819 11774 14415 24642 33620 38829 50807 73034
(loop(\(x,i).(((x * x) + 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A066886: 5 15 65 175 671 1105 2465 3439 6095 12209 14911 25345 34481 39775 51935 74465
(loop(\(x,i).(((x * x) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A127918: 3 12 60 168 660 1092 2448 3420 6072 12180 14880 25308 34440 39732 51888 74412
(loop(\(x,i).((x - (i - 1)) * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138418: 6 36 300 1176 7260 14196 41616 64980 139656 353220 461280 936396 1412040 1708476 2438736 3943836
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * x) - 2))),x) * 2) * 2)
A110558: 8 12 16 24 28 32 40 44 52 60 68 72 84 88 96 100
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) + (loop(\(x,i).(1 - x),x,(x + 2)) div 2))
A014694: 4 4 9 9 16 14 23 19 34 26 43 35 50 40 61 51
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + (loop(\(x,i).(1 - x),x,(x + 2)) div 2))
A014693: 3 2 7 5 14 10 21 15 28 24 37 31 48 36 55 45
(if x <= 0 then 1 else (((loop(\(x,i).(((i mod 2) - 2) * x),x,1) mod ((x div (2 + 2)) + 1)) + (x * 2)) * 2))
A311153: 1 4 8 12 16 20 24 28 34 40 44 46 48 52 56 60
(if x <= 0 then 1 else (((((if ((x div 2) - 2) <= 0 then x else ((x + 2) + 2)) + 1) div (2 + 1)) + (x * 2)) * 2))
A310380: 1 4 10 14 18 24 30 36 40 44 50 54 58 64 68 72
(if x <= 0 then 1 else (((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)) + (x * 2)) * 2))
A312549: 1 4 8 14 18 24 28 32 36 40 46 50 56 60 64 68
(if x <= 0 then 1 else (((((if (((x div 2) - 2) - 2) <= 0 then x else (x + 2)) + 2) div (2 + 1)) + (x * 2)) * 2))
A315203: 1 6 10 14 20 24 28 34 38 42 48 54 58 62 68 72
(if x <= 0 then 1 else ((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) * 2) div (2 + 1)) + (x * 2)) * 2))
A315650: 1 6 12 16 22 28 32 38 44 48 54 60 66 72 76 82
((if x <= 0 then 1 else (((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1))) + ((x * 2) * 2))
A058759: 1 4 8 13
A311914: 1 4 8 13 17 22 26 30 34 38 43 47 52 56 60 64
((if x <= 0 then 1 else (x - ((1 - (if ((x div 2) - 2) <= 0 then x else (x + 2))) div (2 + 1)))) + ((x * 2) * 2))
A301726: 1 5 11 16 21 27 33 38 43 49 54 59 65 70 75 81
(((x - ((2 + 2) div (if ((x div 2) - 2) <= 0 then 2 else (x - 2)))) + 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313739: 1 5 10 15 20 25 31 37 42 47 52 57 62 67 72 77
((((x - (if ((x div (2 + 2)) - 2) <= 0 then 0 else 2)) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313876: 1 5 10 16 21 26 32 37 42 48 53 58 63 68 74 79
((if x <= 0 then 1 else ((loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + x) - 1)) + ((x * 2) * 2))
A314254: 1 5 11 17 23 29 35 41 47 53 59 65 70 75 81 87
(if x <= 0 then 1 else (((if (x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 1 else 2) + (x div 2)) * 2))
A007843: 1 2 4 4 6 8 8 8 10 12 12 14 16 16 16 16
((if (x mod (2 + 2)) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1) + ((x mod 2) * 2))
A010220: 13 3 1 3 26 3 1 3 26 3 1 3 26 3 1 3
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),x) + 2) + 2)
A067830: 5 7 11 17 23 41 47 71 83 101 107 113 131 167 197 227
(compr(\x.((((loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1) + x) mod (2 + 1)) - 1),x) + 2)
A116000: 2 3 4 5 6 7 10 11 13 16 17 19 22 23 25 27
((x - (1 - (1 mod (((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) - x)))) + 2)
A135680: 1 2 3 4 5 4 7 4 5 4 11 4 13 4 5 4
(((loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 2)) + 1) + x) + 2)
A107745: 5 11 17 23 29 5 41 47 53 59 5 71 7 83 89 5
(compr(\x.(1 - (loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)) mod (((2 + 1) * 2) + 1))),x) + 2)
A072538: 2 3 5 11 13 17 19 23 29
(compr(\x.((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod (2 + 1)),x) + 2)
A091178: 4 6 8 11 12 14 18 19 21 22 25 27 29 31 34 36
loop(\(x,i).(x * x),1,(((loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x + 2)) div (2 + 1)) - x) - 2))
A223719: 9 81 484 2116 7396 21904 57121 134689 292681 594441 1140624 2085136 3655744 6180196 10118761 16104169
(loop(\(x,i).(x * 2),2,compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) - (((2 + 1) * x) + 2))
A122264: 2 7 12 25 30 43 48 61 82 87 108 121 126 139 160 181
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * x) * 2) + 1))),x) * 2)
A078402: 0 6 12 36 48 72 78 96 114 126 162 168 198 204 246 258
loop(\(x,i).(((((((x * 2) div (if i <= 0 then 1 else i)) * 2) + x) * 2) div (i + 1)) * ((i * 2) + 1)),x,2)
A189770: 2 30 300 2450 17640 116424 720720 4247100 24066900 132100540 706137432 3691172940 18929092000 95477508000 474659611200 2329787591640
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2))
A332112: 2 121 11211 1112111 111121111 11111211111 1111112111111 111111121111111 11111111211111111 1111111112111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) div (i + 1)) + ((x * 2) * 2)),x,(2 + 1)) - loop(\(x,i).((x * 2) * 2),x,2))
A296769-A000531: 1 7 38 187 874 3958 17548 76627 330818 1415650 6015316 25413342 106853668 447472972 1867450648 7770342787
(compr(\x.(1 - loop(\(x,i).(if x <= 0 then 1 else (x - (((2 + 2) * (2 + 1)) - 1))),x,((x * 2) * 2))),x) - 2)
A275672: 0 1 3 4 6 7 9
A026315: 0 1 3 4 6 7 9 10 13 16 19 22 23 25 26 28
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * x) + 2) * 2))),x) * 2)
A114274: 0 6 24 30 36 54 90 96 114 120 126 144 150 180 186 204
(compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x) * 2)
A087505: 0 2 4 8 10 14 16 20 22 32 34 38 44 46 52 56
(compr(\x.((loop(\(x,i).(x * 2),x,(if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2)) - 1) mod (x + 2)),x) + 2)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A176164-A133956: 2 3 5 7 11 13 17 19 29 31 41 43 47 53 59 61
loop(\(x,i).(((x * x) + 1) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A131991: 15 40 156 400 1464 2380 5220 7240 12720 25260 30784 52060 70644 81400 106080 151740
((loop(\(x,i).(x * x),2,(x + 1)) + 1) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A246864: 0 2 2 5 10 10 5 12 7 25 10 17 26 18 7 29
loop(\(x,i).(((x div 2) * x) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A117762: 6 12 60 168 660 1092 2448 3420 6072 12180 14880 25308 34440 39732 51888 74412
loop(\(x,i).(((x * x) * x) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138403: 8 54 500 2058 13310 26364 78608 123462 267674 682892 893730 1823508 2756840 3339294 4775858 7741604
(loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A297966: 1 0 2 4 1 1 11 6 18 5 13 10 38 36 42 15
loop(\(x,i).(x - ((x * x) * (1 - x))),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A083558: 6 21 105 301 1221 2041 4641 6517 11661 23577 28861 49321 67281 77701 101661 146121
loop(\(x,i).((((x + 1) * x) + 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A181149: 14 39 155 399 1463 2379 5219 7239 12719 25259 30783 52059 70643 81399 106079 151739
loop(\(x,i).((((x * x) * x) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138401: 14 78 620 2394 14630 28548 83504 130302 279818 707252 923490 1874124 2825720 3418758 4879634 7890428
loop(\(x,i).((x mod ((2 + 1) * 2)) + x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A263483: 4 6 10 8 16 14 22 20 28 34 32 38 46 44 52 58
loop(\(x,i).((2 - (x mod (2 + 2))) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A073579: 0 ~3 5 ~7 ~11 13 17 ~19 ~23 29 ~31 37 41 ~43 ~47 53
loop(\(x,i).((((2 + 1) * x) - 2) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A267144: 8 21 65 133 341 481 833 1045 1541 2465 2821 4033 4961 5461 6533 8321
loop(\(x,i).(((x * x) * x) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A050997: 32 243 3125 16807 161051 371293 1419857 2476099 6436343 20511149 28629151 69343957 115856201 147008443 229345007 418195493
loop(\(x,i).(((x div 2) mod 2) + (x * 2)),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A075520: 10 15 21 31 47 53 69 79 95 117 127 149 165 175 191 213
compr(\x.((1 - (loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) + x)) mod (2 + 1)),(x + 2))
A332245: 5 8 9 11 12 14 17 20 21 23 26 29 30 32 35 36
(loop(\(x,i).(loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x) - 1),(x + 1),(x + 1)) + (x + 2))
A038374: 1 1 2 1 1 2 3 1 1 1 2 2 2 3 4 1
(((loop(\(x,i).(((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 1) * 2) * 2),x,1) * 2) + 1) + (x * 2))
A154299: 3 11 101 103
((((if (if (x mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0) <= 0 then 1 else (x mod (2 + 1))) + x) + 2) + (x * 2))
A156242: 3 6 9 12 15 19 21 24 27 30 33 36 39 42 45 47
((loop(\(x,i).((loop(\(x,i).(x * 2),x,(((2 + 2) + 1) * 2)) - 1) mod (x + 2)),2,x) + x) + (x * 2))
A287338: 1 4 10 12 16 18 19 22 28 30 34 36 40 42 46 48
loop(\(x,i).(if x <= 0 then 1 else (x - (((x div ((x mod (0 - 2)) - 2)) mod 2) - (x mod 2)))),(x mod 2),(x div 2))
A123621: 0 1 1 1 2 1 3 3 4 4 5 6 6 5 7 7
((x + 1) - ((if ((x * x) mod (((2 + 1) * 2) + 1)) <= 0 then (if x <= 0 then 0 else (2 + 1)) else 0) - (x mod 2)))
A078936: 1 3 3 5 5 7 7 6 9 11 11 13 13 15 12 17
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),loop(\(x,i).(0 - x),(x + 1),(x * 2)),1) - (x mod 2))
A266301: 1 110 1 1111110 1 11111111110 1 111111111111110 1 1111111111111111110 1 4611686018427387903 1 4611686018427387903 1 4611686018427387903
((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) else 2) - (x mod 2))
A040742: 27 1 2 1 54 1 2 1 54 1 2 1 54 1 2 1
(((if (x mod (2 + 2)) <= 0 then ((((2 + 2) * 2) * (2 + 1)) - 1) else 1) * (if x <= 0 then 1 else 2)) - (x mod 2))
A040540: 23 1 2 1 46 1 2 1 46 1 2 1 46 1 2 1
(((if (x mod ((((1 - x) * 2) mod ((x div 2) + 1)) + 1)) <= 0 then 0 else 2) + (if x <= 0 then 1 else 2)) - (x mod 2))
A088696: 1 1 2 1 2 3 2 1 2 3 2 3 4 3 2 1
((if (x mod (2 + 1)) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2)))
A040491: 22 1 2 22 2 1 44 1 2 22 2 1 44 1 2 22
((if (x mod (2 + 1)) <= 0 then (((((2 + 1) * 2) + 1) * 2) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2)))
A040793: 28 1 2 28 2 1 56 1 2 28 2 1 56 1 2 28
((((2 + 2) + 1) * x) - loop(\(x,i).(0 - x),(x div 2),(x - (if x <= 0 then 1 else (x div (2 - (x mod 2)))))))
A137002: 1 5 11 15
A164355: 1 5 11 15 18 25 33 35 36 45 55 55 54 65 77 75
loop(\(x,i).(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * ((i * 2) + 1)) + x),x,2)
A316322: 2 11 36 85 184 327 548 833 1224 1775 2426 3277 4302 5463 6826 8469
(loop(\(x,i).(loop(\(x,i).(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1,i) + x),x,x) * 2)
A067699: 0 4 8 14 18 24 30 38 42 48 54 62 68 76 84 94
((((1 - (if (if ((x * 2) mod (((x + 2) + 2) + 1)) <= 0 then 2 else 0) <= 0 then x else 1)) mod (2 + 1)) + 1) + x)
A235452: 1 2 5 5 5 6 8 8 11 11 11 14 14 14 17 17
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 1))),x)
A167055: 0 1 2 3 4 7 8 9 11 12 14 16 19 21 22 23
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) - 1))),x)
A110801: 1 3 5 6 8 9 13 15 16 19 20 23 26 28 29 31
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) * (2 + 1)) - 1)),x)
A153400: 0 3 5 8 12 13 14 16 18 19 20 23 25 26 28 31
(loop(\(x,i).(x * 2),(((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1) div 2),1) + x)
A069208: 1 2 3 5 5 6 7 11 10 10 11 15 13 14 15 23
((((loop(\(x,i).loop(\(x,i).((((i * 2) + 1) * x) * 2),(i * i),x),2,x) mod (x + 1)) * 2) + 1) + x)
A161978: 1 2 3 4 5 6 7 8 9 10 27 12 27 14 15 16
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) + 1))),x)
A127590: 0 2 3 6 9 11 12 14 17 18 23 24 26 38 41 42
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) - 1))),x)
A011990: 1 6 7 12
A155942: 1 6 7 12 15 16 21 22 25 27 28 36 37 40 42 48
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017459: 48828125 17592186044416 5559060566555523 238572050223552512 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x - ((0 - loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1)) div ((2 + 2) + 1))) - x)
A008646: 1 1 3 7 14 26 42 66 99 143 201 273 364 476 612 776
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017519: 100000000000 350277500542221 36028797018963968 929293739471222707 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) * 2) + 1) * (2 + 1)) - x))
A017435: 177147 4049565169664 2384185791015625 131621703842267136 2472159215084012303 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.((loop(\(x,i).(x * 2),((loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2) + 1),x) + 1) mod (2 + 1)),x)
A074226: 1 4 10 11 13 14 16 23 25 34 35 37 38 40 44 47
((loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((((x + 1) * x) div 2) + 2),2,(x - 1)) div (2 + 1))) - x)
A002664: 0 0 0 0 0 1 7 29 93 256 638 1486 3302 7099 14913 30827
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - x))
A017471: 362797056 34271896307633 8293509467471872 317475837322472439 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,x) div 2) + 1) div 2) div (2 + 1)) * x)
A300850: 0 0 10 105 840 5775 36036 210210 1166880 6235515 32332300 163601438 811246800 3954828150 19001896200 90162058500
compr(\x.(1 - (x mod (((x mod loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x)) * 2) + 1))),x)
A005763: 1 5 7 9 11 13 17
A035034: 1 5 7 9 11 13 17 19 21 22 23 25 26 27 29 31
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((2 mod ((x div 2) + 1)) + x))
A215658-A192579: 2 3 5 7 17
A072885: 2 3 5 7 17 19 23
A178209: 2 3 5 7 17 19 23 29 31 37 41 43 47 53 59 61
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) - 1))),x)
A225647: 1 3 4 6 7
A024912: 1 3 4 6 7 10 13 15 18 19 21 24 25 27 28 31
((if (x - 2) <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) div (x + 1))) + x)
A185092: 1 2 3 4 6 12
A306348: 1 2 3 4 6 12 24 60
loop(\(x,i).(if x <= 0 then 1 else (((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) - 1)),(x - 1),x)
A011606-A011594: 0 1 ~1 1 1 1 ~1 1 ~1 1 ~1 ~1 1 ~1 ~1 1
loop(\(x,i).((x mod ((loop(\(x,i).(x * 2),(((x mod 2) * (2 + 1)) + 2),1) mod (x + 1)) + 1)) + 1),2,x)
A339899: 1 1 1 1 3 1 1 1 5 1 1 1 1 5 3 1
((if x <= 0 then 1 else (loop(\(x,i).((((x div (2 + 2)) * 2) + x) + 1),(((x + 1) div 2) div 2),1) * 2)) + x)
A057811: 1 3 4 7 8 9 10 13 14 15 16 19 20 21 22 29
loop(\(x,i).(x * x),1,((if (x - 1) <= 0 then 1 else ((x div 2) - (((x - 1) div ((2 + 2) + 1)) mod 2))) + x))
A000548: 1 4 9 16 36 49 64 81 121 144 196 256 324 361 441 484
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 2))),x)
A167056: 0 1 2 3 5 6 8 10 11 12 13 16 17 18 22 23
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) - 2))),x)
A138620: 1 2 4 5 6 7 9 11 14 15 16 19 20 21 22 26
compr(\x.(((if x <= 0 then 2 else loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1)) div 2) mod 2),x)
A072823: 1 7 11 13 14 15 19 21 22 23 25 26 27 28 29 30
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(((((x * 2) * (2 + 1)) + 2) * 2) - x))
A017447: 4194304 8649755859375 3670344486987776 177917621779460413 3116402981210161152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) - x))
A017495: 8589934592 116490258898219 17714700000000000 550329031716248441 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((2 + 1) * x) + 2) * 2) * 2)),x)
A240531: 3 4 7 9 10 14 16 17 18 19 24 27 29 31 34 38
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) + 2) * 2))),x)
A167057: 0 1 3 4 5 6 8 10 13 14 15 18 19 20 21 25
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * 2)))),x)
A105042: 2 3 6 8 9 11 14 15 18 20 23 24 27 35 36 38
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) + 2))),x)
A102342: 0 1 3 4 6 9 10 12 13 15 16 19 22 25 27 30
compr(\x.((if x <= 0 then 1 else loop(\(x,i).((((x * x) * x) * (x * x)) mod (((2 + 2) * 2) + 1)),x,x)) mod 2),x)
A107743: 2 3 4 5 6 7 8 9 12 15 17 18 20 21 22 23
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x))),x)
A090614: 0 1 2 4 5 7 11 14 16 17 19 20 22 25 26 29
compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x + 1) * 2) * (2 + 1)) + x)),x)
A331386: 3 5 6 9 10 11 12 15 17 18 20 21 22 24 25 27
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 2) * (x + 1)) + x))),x)
A126785: 0 2 3 5 6 9 12 14 17 18 20 23 24 26 27 30
((loop(\(x,i).((x div ((x div ((x mod (2 + 2)) + 1)) + 2)) - (if x <= 0 then 0 else 1)),x,(x + 1)) + x) + x)
A191535-A100598: 1 2 4 5 8 10
A131391: 1 2 4 5 8 10 11 13 16 17 19 21 24 25 28 29
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A177069: 1 12 2169 178478 4208945 48989176 364568617 1996813914 8804293473 33739007300 125937424601 570623341222 3881436747409 36314872537968 383799398752905 4185897925275026
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - (loop(\(x,i).((x * x) * x),2,x) * (x * x)))
A024138: 1 10 ~1927 ~175816 ~4179663 ~48667074 ~361025495 ~1957839572 ~8375575711 ~29023111918 ~74062575399 0 2395420006033 32730551749894 375700268413577 4168598413556276
loop(\(x,i).(loop(\(x,i).((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)),1,i) + x),x,x)
A181132: 0 0 1 1 3 4 5 5 8 10 12 13 15 16 17 17
loop(\(x,i).(((x * 2) + 1) * 2),(((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)),0)
A305566: 0 0 0 0 0 2 0 0 0 2 0 10 0 2 2 0
(if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((((x + 2) + 2) * 2) div ((2 + 2) + 1)) else 0)
A132825: 1 0 2 0 0 3 0 0 0 5 0 0 0 0 7 0
((x + 1) - ((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) - loop(\(x,i).((i + x) * 2),x,0)))
A124671: 1 3 7 16 37 85 191 418 893 1871 3863 7892 16005 32297 64959 130374
((x + 1) div ((if (x mod ((((x - 1) * x) mod ((2 + 2) * 2)) + 1)) <= 0 then (x mod (2 + 1)) else 0) + 1))
A280488: 1 1 3 4 5 2 7 8 3 10 11 12 13 14 5 16
((x + 1) - ((x + 1) mod ((if (x mod 2) <= 0 then (((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) else 0) + 1)))
A274016: 1 2 3 4 5 6 7 8 8 10 8 12 12 14 8 16
((((2 + 1) mod (((x div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1)) + 1) + (if x <= 0 then 0 else 1))
A100549: 1 2 2 3 2 2 2 3 3 2 2 3 2 2 2 5
((x div ((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)) + (if x <= 0 then 0 else 1))
A019530: 0 2 3 2 5 6 7 4 3 10 11 6 13 14 15 4
(x - (((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)) + (if x <= 0 then 0 else 1)))
A338233: 0 0 1 1 3 4 5 5 6 8 9 9 11 12 13 12
(((((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) div 2) + 1) mod (2 + 1)) - (if x <= 0 then 0 else 1))
A128431: 1 1 0 1 ~1 0 1 0 ~1 0 1 ~1 ~1 0 0 1
((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1))
A326191-A326190-A326189-A324190-A305822-A302037-A277013-A257091-A253557-A098893-A069248-A001222: 0 1 1 2 1 2 1 3 2 2 1 3 1 2 2 4
(loop(\(x,i).((((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + 1) + (x div (2 + 1))) + x),x,0) + 1)
A169985: 1 2 3 4 7 11 18 29 47 76 123 199 322 521 843 1364
((x div ((x mod ((x div (((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) * 2) + 1)) + 1)) + 1)) + 1)
A326690: 1 1 1 4 1 3 1 8 9 5 1 4 1 7 15 16
loop(\(x,i).(x * x),1,((x div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1)) - 1))
A167354: 1 0 1 0 9 0 25 0 1 0 81 0 121 0 9 0
((if x <= 0 then 0 else (((x + 1) mod (((((x - 2) div ((x div 2) + 2)) + x) mod (2 + 1)) + 1)) + 1)) + 1)
A099774: 1 2 2 2 3 2 2 4 2 2 4 2 3 4 2 2
((x mod ((x div (((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) * 2) + 1)) + 1)) + 1)
A034684: 1 2 3 4 5 2 7 8 9 2 11 3 13 2 3 16
(2 div ((if x <= 0 then 1 else (x mod ((x div (((x mod ((((x mod 2) * 2) + 1) * 2)) * 2) + 1)) + 1))) + 1))
A134269: 1 2 0 2 0 2 0 1 0 1 0 1 0 0 0 2
(loop(\(x,i).((x * x) * 2),1,((((((x * 2) * 2) + 1) * 2) * (((2 + 2) * 2) + 1)) - 1)) - 1)
A157264: 577 15841 51841 108577 186049 284257 403201 542881 703297 884449 1086337 1308961 1552321 1816417 2101249 2406817
(x div (((if (((x * 2) mod ((x div 2) + 2)) - 2) <= 0 then 2 else 1) * ((x div ((2 + 2) + 1)) + 1)) + 1))
A342263: 0 0 0 1 1 1 1 2 2 1 2 1 1 1 2 3
((((2 + 2) + 1) mod ((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) * (x + 1)) div (2 + 1)) + 1)) + 1)
A080967: 1 1 2 2 2 3 3 3 2 2 6 6 6 6 6 6
(loop(\(x,i).((x * x) * 2),1,(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1)) + 1)) - 1)
A157367: 4999 19601 43807 77617 121031 174049 236671 308897 390727 482161 583199 693841 814087 943937 1083391 1232449
((x mod (((0 - loop(\(x,i).(((((x mod 2) + (x * 2)) * 2) + x) + 1),x,1)) mod (x + 1)) + 1)) + 1)
A300711: 1 1 1 1 5 1 7 1 1 1 11 1 13 7 5 1
((x mod (((x mod 2) - (if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 2)) - 1)) + 1)
A204183: 1 1 1 1 ~1 1 1 0 0 1 1 0 1 0 1 1
((x + 1) div ((if x <= 0 then 0 else (((x div ((((x * x) + (x div 2)) mod (2 + 1)) + 1)) div 2) + 1)) + 1))
A106806: 1 1 1 2 1 1 1 2 3 2 1 1 1 2 3 3
((if x <= 0 then 0 else ((((x div (2 + 1)) + 1) div ((((x + 2) mod ((2 + 1) * 2)) + 1) * 2)) + 1)) + 1)
A175064: 1 2 2 2 3 2 2 2 2 2 4 3 2 2 2 2
(if x <= 0 then 0 else ((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1))
A272604-A126387: 0 1 1 2 1 1 2 3 1 1 1 2 2 2 3 4
(((if ((x + 1) mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 2) * 2) else 1) * (((2 + 1) * 2) + 1)) + 1)
A088841: 8 8 8 8 8 8 57 8 8 8 8 8 8 57 8 8
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * (((2 + 1) * 2) + 1)) + 1)
A129073: 22 29 43 57 85 99 127 141 169 211 225 267 295 309 337 379
((x + 1) div (((if (((x + 1) div (2 + 1)) mod (2 + 2)) <= 0 then x else 1) * (((2 + 1) * 2) + 1)) + 1))
A017859: 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 2
loop(\(x,i).(x * 2),((((x div (2 + 1)) + 1) div ((((x * x) * 2) mod ((x div 2) + 1)) + 2)) + 1),1)
A066671: 2 2 2 4 2 2 4 2 2 4 4 4 4 4 8 4
loop(\(x,i).(i * x),(((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2) + 1),1)
A155795: 1 1 1 1 2 1 1 6 6 1 1 24 24 24 1 1
((((if (x mod 2) <= 0 then x else 0) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A125778-A050176-A047130-A047110: 1 1 1 1 1 1 1 2 2 1 1 3 2 3 1 1
loop(\(x,i).(i * 2),(((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)),1)
A278218: 1 1 1 1 2 1 1 2 2 1 1 4 6 4 1 1
(((((x + 2) * (x + 1)) div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A153186: 1 7 4 7 4 7 1 1 1 1 7 4 7 4 7 1
(((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A130856: 1 1 2 5 5 6 6 6 8 2 2 7 4 4 9 9
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),(x + 1)) div 2) * (((2 + 2) * 2) + 1)) + 1)
A078427: 46 901 13501 180001 2250001 27000001 315000001 3600000001 40500000001 450000000001 4950000000001 54000000000001 585000000000001 6300000000000001 67500000000000001 720000000000000001
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((x mod (((2 + 2) * 2) + 1)) + 1))
A141071: 0 1 2 3 1 1 3 3 5 0 1 1 1 3 5 4
loop(\(x,i).(((2 + 2) + 1) * x),(x * 2),((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1))
A156965: 1 50 625 62500 390625 19531250 244140625 48828125000 152587890625 7629394531250 95367431640625 9536743164062500 59604644775390625 2980232238769531250 4611686018427387903 4611686018427387903
((2 + 1) mod ((if x <= 0 then 1 else (((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1))) + 1))
A320659: 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 3
(2 - ((2 div ((1 - (if ((x + 2) mod (((x div 2) mod 2) + 2)) <= 0 then x else 0)) mod ((2 + 2) + 1))) - 1))
A090402: 1 1 1 1 2 1 1 3 3 1 1 1 3 1 1 1
(((((if (((x div 2) - 2) - 2) <= 0 then x else ((x + 2) + 1)) * 2) * (2 + 1)) div ((2 + 2) + 1)) + 1)
A324766: 1 2 3 4 5 7 8 9 10 11 16 17 19 20 21 22
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + 1))
A017347: 279936 268435456 8031810176 78364164096 435817657216 1727094849536 5455160701056 14645194571776 34792782221696 75144747810816 150363025899136 282621973446656 504189521813376 860542568759296
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A017383: 4782969 893871739 17249876309 137231006679 678223072849 2488651484819 7446353252589 19203908986159 44231334895529 93206534790699 182803912081669 337931541778439 594467302491009
(((((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2) * 2) div ((2 + 2) + 1)) + 1)
A253558: 1 1 2 1 3 2 4 1 2 3 5 2 6 4 3 1
loop(\(x,i).((x + 1) * x),(2 - (((x * 2) + 1) mod (((x div (2 + 2)) + x) + ((2 + 2) + 1)))),1)
A174215: 2 1 1 1 1 6 2 1 1 1 1 1 1 1 1 1
((x mod ((((if (((x * 2) mod ((2 + 2) + 1)) mod (2 + 1)) <= 0 then 2 else 0) + (x mod 2)) * 2) - 1)) + 1)
A307372: 1 1 1 1 2 1 1 1 1 5 2 1 1 1 3 1
(if x <= 0 then 1 else (((1 - ((x + 1) mod ((x div (((x + 2) mod (2 + 2)) + 1)) + 1))) mod (2 + 1)) - 1))
A298601: 1 0 0 0 ~1 0 0 0 0 ~1 0 0 0 1 0 0
((((loop(\(x,i).i,(x - ((2 + 2) * 2)),1) + 2) * ((x div ((2 + 2) + 1)) + 1)) div (2 + 1)) - 1)
A099562: 0 0 0 0 0 1 1 1 1 1 3 4 5 6 7 11
(((x + 2) + 1) mod ((((loop(\(x,i).(1 - (x * 2)),x,(x + 1)) div (2 + 1)) + 1) mod (2 + 1)) + 1))
A138088: 1 0 1 0 1 0 0 0 2 0 0 0 0 1 0 0
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) mod (((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) - 1))
A036132: 1 7 49 59 58 51 2 14 27 47 45 31 4 28 54 23
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) - 1) * ((((2 + 2) * (2 + 1)) * (2 + 1)) - 1))
A175774: 35 665 6965 69965 699965 6999965 69999965 699999965 6999999965 69999999965 699999999965 6999999999965 69999999999965 699999999999965 6999999999999965 69999999999999965
((((if x <= 0 then 1 else (x - ((x div ((0 - 2) - 2)) div (0 - 2)))) + (x div (2 + 1))) mod (2 + 1)) - 1)
A296030: 0 0 1 0 1 1 0 1 ~1 1 ~1 0 ~1 ~1 0 ~1
((((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) - (x div (2 + 1))) div (2 + 1)) + 1)
A068998: 2 3 5 6 7 8 9 11 12 13 16 17 18 19 21 22
(((x - compr(\x.(1 - (x mod ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2))),(x + 1))) mod (2 + 1)) + 1)
A339584: 1 3 2 1 1 1 3 2 1 3 2 1 3 2 1 1
((((((if ((2 - x) + 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * 2) * (x + 1)) * (2 + 1)) + 1)
A309809: 13 25 37 49 511 613 715 817 919 1021 1123 1225 1327 1429 1531 1633
loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A299906-A117401: 1 1 1 1 2 1 1 4 4 1 1 8 16 8 1 1
loop(\(x,i).(i * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A157528: 1 1 1 1 2 1 1 4 4 1 1 6 8 6 1 1
loop(\(x,i).(i * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A155794: 1 1 1 1 1 1 1 2 2 1 1 6 24 6 1 1
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((2 + 2) * (x + 1)) * (2 + 1)) - 1))
A017659: 19487171 3404825447 64339296875 506623120463 2488651484819 9095120158391 27136050989627 69833729609375 160578147647843 337931541778439 662062621900811 1222791080775407 2149422977421875
((loop(\(x,i).((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x),1,(x - 1)) div (2 + 1)) + 1)
A208342: 1 1 1 1 1 2 1 1 3 3 1 1 4 5 5 1
(((loop(\(x,i).(((((2 + 2) + 1) * x) - (x mod (2 + 1))) + 1),(x + 1),1) div 2) div (2 + 1)) + 1)
A046633: 1 5 21 101 505 2521 12601 63005 315021 1575101 7875505 39377521 196887601 984438005 4922190021 24610950101
(((((((loop(\(x,i).(x div (((x mod 2) * 2) + 1)),2,x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A060682: 1 1 2 1 2 1 3 2 3 1 3 1 3 2 4 1
((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + 1)
A325765: 1 1 1 2 1 3 1 3 2 3 1 5 1 3 3 4
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod (((((((2 + 2) * 2) * 2) + 1) * 2) * (2 + 1)) + 1))
A036139: 1 5 25 22 7 35 72 51 49 39 92 48 34 67 26 27
((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1) * ((2 + 2) + 1)) div 2) div (2 + 1)) + 1)
A336920-A336473-A336159: 1 1 2 1 3 2 4 1 5 3 6 2 6 4 7 1
(((loop(\(x,i).((x + 1) * x),1,((((x + 1) * x) div 2) * ((2 + 2) + 1))) div 2) div (2 + 1)) + 1)
A257602: 1 6 41 156 426 951 1856 3291 5431 8476 12651 18206 25416 34581 46026 60101
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 1) * 2) * (2 + 1)) + 1))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A033633: 2 3 5 7 11 13 17 0 4 10 12 18 3 5 9 15
loop(\(x,i).((x + 2) * x),(2 - ((((2 + 2) * (x + 1)) + x) mod (((2 + 1) * 2) * (2 + 1)))),1)
A285865: 1 1 1 3 1 1 1 1 1 1 15 1 1 1 1 1
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) + 1))
A017611: 823543 893871739 27512614111 271818611107 1522435234375 6060711605323 19203908986159 51676101935731 122987386542487 266001988046875 532875860165503 1002544368429379 1789940649848551
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - (((((x * 2) + 1) * 2) * (2 + 1)) + 1)))
A017478: 117649 34012224 594823321 4096000000 17596287801 56800235584 151334226289 351298031616 735091890625 1418519112256 2565164201769 4398046511104 7212549413161 11390625000000 17416274304961 25892303048704
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1))
A017587: 78125 410338673 17249876309 194754273881 1174711139837 4902227890625 16048523266853 44231334895529 107213535210701 235260548044817 476837158203125 905824306333433 1630436461403549
((((((loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),2,x) + x) * 2) + 1) * 2) div (2 + 1)) + 1)
A260395: 1 4 7 9 12 15 17 20 23 25 28 31 32 33 36 39
((((((loop(\(x,i).(((x div (2 + 2)) + x) + 2),x,2) + 1) div (2 + 1)) + 2) * 2) div (2 + 1)) - 1)
A121659: 1 1 1 2 3 4 5 7 9 12 15 20 25 32 40 51
((((((((if x <= 0 then 2 else ((x div (2 + 1)) * x)) div 2) + 2) div (2 + 1)) + 2) * 2) div (2 + 1)) - 1)
A025148: 1 0 0 1 1 1 1 2 2 3 3 4 5 6 7 9
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) * 2) * (2 + 1)) + 1)
A129072: 37 49 73 97 145 169 217 241 289 361 385 457 505 529 577 649
((((loop(\(x,i).((i + x) - (x div (((0 - 2) - 2) * (2 + 1)))),x,1) + 2) * 2) div (2 + 1)) - 1)
A179385: 1 2 4 7 10 15 20 27 35 44 55 67 81 97 115 135
(((x - (((((if ((x div 2) mod (2 + 1)) <= 0 then 1 else x) * (2 + 1)) div 2) div 2) * 2)) mod (2 + 1)) + 1)
A101608: 1 2 1 3 2 3 1 2 3 1 3 2 1 2 1 3
(((if x <= 0 then 1 else (((((1 - x) * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 2)) div (2 + 1)) + 1)
A204018: 1 2 2 2 1 2 2 3 3 2 2 3 1 3 2 2
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * 2) * (2 + 1)) + 1))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242123: 2 3 5 7 11 13 17 19 23 4 6 12 16 18 22 3
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * 2) * (2 + 1)) - 1))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A229786: 2 3 5 7 11 13 17 19 0 6 8 14 18 20 1 7
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((2 + 2) + 1) * x),1) * (((2 + 2) * (2 + 1)) - 1))
A324267: 11 184877 3107227739 52223176609373 877714929273732011 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x + 2) * x) + 1) - loop(\(x,i).(x * x),1,(x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1)))))
A162497: 1 4 9 16 25 36 49 64 81 100 121 144 168 192 216 240
(((loop(\(x,i).((x * 2) + 1),((x + 1) div 2),((x div 2) + 1)) div ((x mod 2) + 2)) div (2 + 1)) + 1)
A319645: 1 1 1 2 3 4 7 9 16 22 38
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) + 1))
A017251: 823543 268435456 6103515625 52523350144 271818611107 1028071702528 3142742836021 8235430000000 19203908986159 40867559636992 80798284478113 150363025899136 266001988046875 450766669594624
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A017227: 78125 105413504 3404825447 34359738368 194754273881 781250000000 2488651484819 6722988818432 16048523266853 34792782221696 69833729609375 131593177923584 235260548044817 402271083010688
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((((2 + 1) * x) + 2) * (2 + 1)) - 1))
A081496: 5 14 46 160 574 2100 7788 29172 110110 418132 1595620 6113744 23505356 90633800 350351640 1357278300
((x + 1) div (loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + (x div (((x div 2) mod (2 + 1)) + 1))))
A157187: 1 1 0 2 0 1 0 1 0 1 0 2 0 0 0 2
((((loop(\(x,i).((((x - 2) * x) * (x - 1)) div ((2 + 2) + 1)),2,x) * x) div 2) div (2 + 1)) + 1)
A140441: 1 1 1 1 3 221
(((((if x <= 0 then 1 else (x + 2)) * 2) * (x + 1)) - ((((1 - (x * x)) * x) div 2) div (2 + 1))) - 1)
A055820: 1 11 24 43 69 103 146 199 263 339 428 531 649 783 934 1103
((if x <= 0 then 0 else ((((x + 1) div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2) + (x div (2 + 1)))) + 1)
A194303: 1 2 2 3 3 3 4 4 4 4 5 4 6 5 5 6
(1 - (((if ((x * 2) mod (((x div (2 + 1)) + 2) + 2)) <= 0 then 0 else 1) + 1) mod ((x div (2 + 1)) + 1)))
A016414: 1 1 1 1 1 0 0 ~1 ~1 ~1 ~1 ~1 0 ~1 ~1 ~1
((((if (((x + 2) + 1) mod ((x div ((2 + 2) + 1)) + 2)) <= 0 then 2 else 0) + 1) mod ((x div 2) + 1)) + 1)
A081755: 1 1 2 2 2 2 4 2 2 4 2 2 2 4 2 2
((if (x - 1) <= 0 then x else (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) + (x mod 2)) + 1)) - 1)
A225721: ~1 0 0 1 0 1 0 2 1 1 0 1 0 2 1 1
((((if (((x div (2 + 2)) + 1) mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 0) + 1) * ((x mod 2) + 1)) - 1)
A092147: 0 1 0 1 2 1 0 1 0 5 0 1 2 1 2 1
((((x div ((if ((x + 2) mod ((x div ((2 + 2) + 1)) + 2)) <= 0 then 2 else 0) + 1)) + 1) mod (x + 1)) + 1)
A263646: 1 1 2 1 3 1 1 4 1 1 5 1 1 1 6 1
(((loop(\(x,i).(x * 2),((x - ((x mod ((x div (2 + 2)) + 1)) div 2)) + 1),1) - 1) mod (x + 1)) + 1)
A061142: 1 2 2 4 2 4 2 8 4 4 2 8 2 4 4 16
(((((if ((x - 1) mod (2 + 1)) <= 0 then ((x div (2 + 2)) + 2) else 1) mod (2 + 1)) + 1) mod (x + 1)) + 1)
A102313: 1 2 3 3 2 3 3 2 3 3 3 3 3 4 3 3
((x * 2) - (((if (((x div 2) + 1) mod ((2 + 2) + 1)) <= 0 then (x div (2 + 1)) else 1) mod (x + 1)) - 1))
A241071: 1 2 4 6 8 10 12
A302696: 1 2 4 6 8 10 12 14 15 16 20 22 24 26 28 30
((x + 1) mod (((1 - ((x + 1) mod (((if (x mod (2 + 2)) <= 0 then 0 else 2) * 2) + 1))) mod (x + 1)) + 1))
A060953: 0 0 1 0 1 0 0 1 1 0 0 0 1 2 1 0
(((((((x mod (((if (x mod (2 + 2)) <= 0 then 0 else 2) * 2) + 1)) mod 2) * 2) * 2) + 1) mod (x + 1)) + 1)
A278247: 1 2 2 2 2 2 6 2 2 2 2 6 2 6 2 2
((x + 1) mod (((((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) + (x mod (2 + 1))) mod (x + 1)) + 1))
A044933: 0 0 1 1 0 1 0 0 1 0 1 2 1 0 1 1
((loop(\(x,i).(((((x * 2) + 1) div ((x mod ((2 + 2) * (2 + 1))) + 1)) + x) + 1),x,0) div 2) + 1)
A297182: 1 2 3 4 5 6 7 20 33 46 59 72 85 254 423 592
(((((loop(\(x,i).(((x * x) * 2) div (x + 1)),2,x) div 2) mod (((2 + 2) * 2) + 1)) + 1) div 2) + 1)
A105932: 1 1 2 3 4 5 1 2 3 4 5 2 3 4 5 1
loop(\(x,i).(x * 2),(x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)),1)
A319004: 1 1 1 2 1 2 1 4 2 2 1 4 1 2 2 8
((((((loop(\(x,i).(x * x),1,(((x div (2 + 1)) + x) + 1)) div 2) div 2) div (2 + 1)) + 1) div 2) + 1)
A029035: 1 1 1 2 3 3 4 5 6 8 9 10 13 15 16 19
((if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 0 else 1) * ((((x div (2 + 1)) + 1) div 2) + 1))
A320471: 0 1 1 0 2 2 2 2 0 3 3 3 3 3 3 0
((loop(\(x,i).(x * x),1,((((((2 + 2) + 1) * 2) * ((2 + 2) + 1)) * (x + 1)) - 1)) * 2) - 1)
A157516: 4801 19601 44401 79201 124001 178801 243601 318401 403201 498001 602801 717601 842401 977201 1122001 1276801
(loop(\(x,i).(x * x),1,(((x + 1) mod (((((x mod (2 + 1)) + 1) * 2) mod (x + 1)) + 1)) div 2)) + 1)
A337278: 1 1 1 1 1 1 1 2 2 1 1 5 1 5 1 1
((((((loop(\(x,i).(x * 2),x,(2 + 1)) div ((2 + 2) + 1)) * ((2 + 2) + 1)) div 2) + 1) * 2) + 1)
A100720: 3 7 13 23 47 97 193 383 767 1537 3073 6143 12287 24577 49153 98303
(((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then x else (x + 2)) + (((x div 2) + 1) div 2)) + 1) * 2) - 1)
A069254: 1 3 7 9 11 13 17 19 21 23 27 29 31 33 37 43
(x div (((x div (((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) * 2) + 1)) * 2) + 1))
A260737: 0 0 0 0 0 1 0 0 0 3 0 2 0 2 2 0
((((loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + (x mod 2)) + 1),(2 - x),1) * 2) + 1) * 2) + 1)
A178812: 487 51
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (x + 2)) mod (((2 + 2) + 1) * 2)) + 1)
A089103: 3 5 8 1 6 9 4 7 2 9 2 9 4 7 2 9
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) * (((x mod ((2 + 2) + 1)) * 2) + 1))
A158859: 1 333 55555 7777777 999999999 11111111111 3333333333333 555555555555555 77777777777777777 4611686018427387903 4611686018427387903 4611686018427387903
((((((if x <= 0 then 1 else (((x div (2 + 2)) + 1) * (x div (2 + 1)))) - (x mod 2)) div 2) + 1) div 2) + 1)
A259357: 1 1 1 1 2 1 2 2 3 3 3 3 5 5 5 6
((x + 1) div (((x + 1) div ((if (x mod (2 + 2)) <= 0 then 0 else ((x mod ((x mod 2) + 2)) + 1)) + 2)) + 1))
A340382: 1 2 1 2 1 3 2 2 1 2 2 4 1 3 2 2
(1 - (x mod (((if x <= 0 then 2 else (((((x * x) * x) div ((x + 2) + 1)) + 1) mod (2 + 1))) - 2) - 1)))
A330739: 1 2 1 1 1 2 1 1 1 2 1 2 1 3 2 1
(((loop(\(x,i).(x * x),1,((x - (((x div ((2 + 2) + 1)) * 2) * 2)) - 1)) div (2 + 1)) div 2) + 1)
A097886: 1 1 1 1 2 1 1 1 2 3 1 1 2 3 5 1
(((((loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),2) div (2 + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1)
A337753: 2 8 41 208 1042 5209 26042 130208 651041 3255208 16276042 81380209 406901042 2034505208 10172526041 50862630208
(((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1)
A319002-A317545-A308063-A050363: 1 1 1 2 1 2 1 4 2 2 1 5 1 2 2 8
(((((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) div (2 + 1)) * (2 + 1)) div 2) + 1)
A207336: 2 4 5 7 8 10 11 14 16 19 20 22 23 26 29 31
loop(\(x,i).((x - (x div (0 - 2))) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A147582: 1 4 4 12 4 12 12 36 4 12 12 36 12 36 36 108
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A102377: 1 10 10 100 10 100 100 1000 10 100 100 1000 100 1000 1000 10000
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A161343: 1 7 7 49 7 49 49 343 7 49 49 343 49 343 343 2401
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((x + 1) * 2) * (2 + 1)),1) div (((2 + 1) * 2) + 1))
A146754: 142857 142857142857 142857142857142857 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - ((1 - (if (2 - (x div (2 + 2))) <= 0 then (x mod ((2 + 2) * 2)) else 1)) * (((2 + 1) * 2) + 1)))
A255693-A255593-A030107: 0 1 2 3 4 5 6 7 1 9 17 25 33 41 49 57
((loop(\(x,i).((2 + 2) * (x + 1)),(x + 1),2) * (((x * 2) * 2) + 1)) mod (((2 + 1) * 2) + 1))
A254247: 5 1 4 2 2 0 6
(loop(\(x,i).((((((2 + 2) * 2) + x) * 2) * ((2 + 2) + 1)) + 1),x,1) * (((2 + 1) * 2) + 1))
A175601: 7 637 6937 69937 699937 6999937 69999937 699999937 6999999937 69999999937 699999999937 6999999999937 69999999999937 699999999999937 6999999999999937 69999999999999937
((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * (((2 + 1) * 2) + 1))
A085130-A080194: 7 14 21 28 35 42 49 56 63 70 84 98 105 112 126 140
(((((loop(\(x,i).((((2 + 2) + 1) * x) + 1),x,1) + 2) div 2) + 2) * 2) div (((2 + 1) * 2) + 1))
A178873: 0 1 5 23 112 558 2790 13951 69755 348773 1743862 8719308 43596540 217982701 1089913505 5449567523
((if x <= 0 then 1 else ((x * 2) * 2)) - (((2 - x) div ((2 + 2) + 1)) - (x div (((2 + 1) * 2) + 1))))
A058759: 1 4 8 13
A311822-A311821: 1 4 8 13 17 21 25 30 35 39 43 47 51 56 61 65
((if x <= 0 then 1 else ((x * 2) * 2)) - ((x div (1 - ((2 + 2) * 2))) - (x div (((2 + 1) * 2) + 1))))
A314674: 1 5 9 13 17 21 25 30 35 39 43 47 51 55 60 65
(((((((x mod ((if (x mod (2 + 2)) <= 0 then x else 0) - 2)) div 2) + 2) * 2) - (x mod (2 + 1))) div 2) - 1)
A128519: 1 ~1 0 0 0 ~1 1 ~1 1 0 0 ~1 2 ~1 0 0
loop(\(x,i).((((x * 2) + 1) * x) * x),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1)
A174546: 1 1 1 1 3 1 1 3 3 1 1 3 63 3 1 1
((((loop(\(x,i).(((x * x) * x) mod (((2 + 1) * 2) * ((2 + 2) + 1))),x,x) div 2) + 1) div 2) + 1)
A307450: 1 1 2 8 2 2 3 4 3
((loop(\(x,i).(((x * 2) - ((((x div (2 + 1)) * (x - 2)) - x) div (2 + 1))) + 1),x,1) div 2) + 1)
A329513: 1 3 6 9 9 8 8 8 8 8 8 8 8 8 8 8
((loop(\(x,i).((x - (((x div (2 + 2)) * (2 + 1)) div 2)) * (((2 + 2) * 2) + 1)),x,1) div 2) + 1)
A243669: 1 5 28 158 892
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((((2 + 2) + 1) * x) + 1) * 2) + 1))
A017311: 2187 62748517 3404825447 42618442977 271818611107 1174711139837 3938980639167 11047398519097 27136050989627 60170087060757 122987386542487 235260548044817 425927596977747 736141813551277
((((loop(\(x,i).(x * x),1,(((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2)) + x) + 1) div 2) + 1)
A284511: 1 2 2 3 4 4 4 5 7 8 7 7 8 8 8 9
(((((((x * x) div (((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) + x) + 1) * 2) + 1)
A267549: 3 5 7 13 23 113
((x + 1) - (((x - (loop(\(x,i).(x - (x div ((2 + 2) * 2))),((2 + 1) * 2),x) - 1)) * 2) - 1))
A287655: 0 1 2 3 4 5 6 7 6 5 4 3 2 1 2 3
((if x <= 0 then 2 else ((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2)) - 1)
A334744: 1 ~1 ~1 ~1 ~1 0 ~1 0 ~1 0 ~1 2 ~1 0 0 1
((((loop(\(x,i).(((x * 2) - 1) * x),1,(((2 + 2) + 1) * (x + 1))) - 1) * (x + 1)) div 2) + 1)
A167467: 23 190 652 1559 3061 5308 8450 12637 18019 24746 32968 42835 54497 68104 83806 101753
loop(\(x,i).i,(x div ((((((x div (2 + 2)) + 2) + 2) * (((x - 1) * 2) - 1)) mod (x + 1)) + 2)),1)
A337131: 1 1 1 1 2 1 1 1 1 4 2 1 2 1 1 1
(if x <= 0 then 1 else (((((((2 + 2) * (x + 1)) + x) * 2) div ((x + 2) + 1)) + ((x + 1) * 2)) + 1))
A138945: 1 9 12 15 17 20 22 24 27 29 31 33 35 37 39 41
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (x + 1)) * (((x + 1) div 2) + 1))
A083175: 2 12 30 84 165 312 476 760 1035 1740 2046 3108 3731 4816 5640 7632
((loop(\(x,i).((((x div ((((x - (x div (2 + 2))) div 2) mod 2) + 2)) mod 2) + 1) + x),x,1) * 2) + 1)
A309203: 3 5 7 11 13 17 19 23 27 29 31 35 37 39 41 43
(x - (((x * 2) + 1) div (((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)))
A227859-A193564: 0 0 1 2 1 3 2 4 5 3 6 7 4 8 5 9
(((loop(\(x,i).(((((x - ((x mod ((0 - 2) - 1)) * 2)) * 2) + 1) * 2) - 1),x,0) + 2) + 2) - 1)
A189738: 3 4 24 88 360 1432 5736 22936 91752 367000 1468008 5872024 23488104 93952408 375809640 1503238552
(((((x mod ((((loop(\(x,i).((2 + 1) * x),x,1) + 2) + 2) mod (x + 1)) + 2)) + 1) div 2) div 2) + 1)
A333765: 1 1 1 2 1 1 2 3 1 1 2 1 2 2 4 5
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((((2 + 2) + 1) * 2) * 2) + 1))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242121: 2 3 5 7 11 13 17 19 2 8 10 16 20 1 5 11
(((((((loop(\(x,i).(x * 2),x,((x div (2 + 2)) + 2)) div (2 + 1)) + x) div 2) + 1) div 2) div 2) + 1)
A283314: 1 1 1 2 3 5 10 18 44
(((((2 - ((if (x mod 2) <= 0 then (2 - x) else x) mod (((2 + 1) * 2) + 1))) mod (x + 1)) div 2) div 2) + 1)
A129176: 1 1 1 1 1 1 2 1 1 1 2 3 3 3 1 1
((((((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 2) * ((2 + 2) + 1)) mod (x + 1)) div 2) div 2) + 1)
A132844: 1 1 1 1 1 1 1 2 1 1 3 2 3 1 1 3
((((((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else 1) + x) + x) + 2) * (x + 1)) div 2) div 2) + 1)
A254835: 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 133
((if x <= 0 then 1 else (x - ((1 - ((x * 2) - (x mod 2))) div (2 + 1)))) mod ((((x + 1) div 2) div 2) + 1))
A334153: 0 0 0 1 1 0 0 2 1 0 2 2 0 1 3 0
(((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) * 2) - 1)
A225822: 7 23 31 39 55 71 87 95 103 119 127 135 151 159 167 183
(x - (((((((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x) + 1) * (2 + 1)) div 2) div 2) div 2) - 1))
A168560: 1 2 2 3 4 4 5 5 6 10 7 8 9 9 10 10
((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) * (2 + 1)) div 2) div 2) div 2) + 1)
A342085-A050379: 1 1 1 2 1 2 1 3 2 2 1 5 1 2 2 6
(x - ((loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) * 2) - 1))
A076535: ~3 ~6 ~5 ~12 ~3 ~10 ~9 ~24 1 ~6 ~5 ~20 ~3 ~18 ~17 ~48
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - x) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)))
A312892: 1 4 9 13 17 21 25 29 33 38 42 46 51 55 59 63
((((loop(\(x,i).(((((((x div (2 + 2)) + x) + 1) div 2) div 2) + x) + 2),x,1) div 2) div 2) div 2) + 1)
A115593: 1 1 1 2 2 3 4 6 7 10 13 17 22 29 38 50
((if x <= 0 then 1 else ((x - ((0 - ((x - (((x + 1) div 2) mod ((2 + 1) * 2))) div 2)) div 2)) * 2)) + 1)
A193063-A165132: 2 3 5 7 11 13
A072697: 2 3 5 7 11 13 15 17 19 21 23 29 31 33 35 37
(loop(\(x,i).((2 + 1) * x),((x * x) mod (((2 + 1) * 2) + 1)),1) mod ((((2 + 2) * 2) * 2) - 1))
A331065: 1 3 6 9 9 6 3 1
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x) * ((x * 2) - 1)) div (((2 + 2) * 2) + 1))
A055504: 0 0 0 0 0 15 110 455 1400 3570 7980 16170 30360 53625 90090 145145
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),((x mod 2) + 1)) * (((2 + 2) * 2) + 1))
A050250: 9 18 108 198 1098 1998 10998 19998 109998 199998 1099998 1999998 10999998 19999998 109999998 199999998
(loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(((2 + 1) * x) + 1)) div (((2 + 2) * 2) + 1))
A282232: 0 455 13072 111111 536312 1864135 5227320 12597767 27126736 53543367 98611520 171644935 285080712 455111111 702373672 1052699655
((loop(\(x,i).(x + 1),((((((x div 2) mod 2) + x) div 2) - 2) - 2),x) + 1) * (((2 + 2) * 2) + 1))
A085132: 9 18 27 36 45 54 63 72 81 90 108 126 135 144 162 180
(if x <= 0 then 1 else (compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) + (((2 + 2) * 2) + 1)))
A115844: 1 10 11 12 13 14 15 16 17 18 20 30 40 50 60 70
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((2 + 2) * 2),1) * x) div (((2 + 2) * 2) + 1))
A070189: 0 12345679 24691358 37037037 49382716 61728395 74074074 86419753 98765432 111111111 123456790 135802469 148148148 160493827 172839506 185185185
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) + 1))
A017635: 4782969 1801088541 42618442977 373669453125 1954897493193 7446353252589 22876792454961 60170087060757 140710042265625 300124211606973 594467302491009 1107984764452581 1962637152460137 3329565857578125 5442680797299153 8614550657858229
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(x - ((((((2 + 1) * x) + 2) * 2) * 2) + 1)))
A017502: 531441 64000000 887503681 5489031744 22164361129 68719476736 177978515625 404567235136 832972004929 1586874322944 2839760855281 4826809000000 7858047974841 12332795428864 18755369578009
((loop(\(x,i).((2 - ((((x * x) div (2 + 1)) mod ((x * 2) + 1)) mod 2)) + x),x,1) mod (2 + 2)) + 1)
A106645: 2 4 1 2 4 1 3 1 2 4 1 2 4 1 3 1
((((((((x div (if (x mod 2) <= 0 then (2 + 1) else (0 - 2))) + 1) * 2) - 1) * x) div 2) mod (2 + 2)) + 1)
A083954: 1 4 2 4 3 4 4 4 1 4 4 4 3 4 4 4
(((((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2) * 2) - 1) div ((2 + 2) + 1))
A328167: 0 0 1 0 2 1 3 0 1 2 4 1 5 3 1 0
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((x mod 2) + x) + 1) * (2 + 1)) div ((2 + 2) + 1)))
A137002: 1 5 11 15
A314053: 1 5 11 15 21 26 32 37 43 48 54 59 65 69 75 80
(((loop(\(x,i).((x * 2) + 1),((x + 2) + 2),((2 + 1) * 2)) * 2) div (2 + 1)) div ((2 + 2) + 1))
A263119: 14 29 59 119 238 477 955 1911 3822 7645 15291 30583 61166 122333 244667 489335
((((loop(\(x,i).(((x * x) - 1) * x),1,((x + 2) + 2)) div 2) div 2) div (2 + 1)) div ((2 + 2) + 1))
A084624: 1 2 3 5 8 12 16 22 28 36 45 56 68 81 96 114
((compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1) * ((2 + 2) + 1))
A086761: 5 10 20 25 40 50 80 100 125 160 200 250 320 400 500 625
((loop(\(x,i).(x - ((1 - (x * 2)) * (2 + 1))),(x + 1),((2 + 2) + 1)) div 2) div ((2 + 2) + 1))
A037775: 3 22 154 1080 7563 52942 370594 2594160 18159123 127113862 889797034 6228579240 43600054683 305200382782 2136402679474 14954818756320
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 1) * 2) * ((2 + 2) + 1)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A095959: 2 3 5 7 11 13 17 19 23 29 1 7 11 13 17 23
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((((2 + 2) * 2) + x) + 2)) div 2) div ((2 + 2) + 1))
A081122: 1 11 120 1300 14000 150000 1600000 17000000 180000000 1900000000 20000000000 210000000000 2200000000000 23000000000000 240000000000000 2500000000000000
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((x div 2) mod ((2 + 2) + 1)) + x) div ((2 + 2) + 1)))
A315749: 1 6 12 18 23 29 35 40 46 52 58 64 70 76 81 87
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x div 2) mod ((2 + 2) + 1)) + x) div ((2 + 2) + 1)))
A313692: 1 5 10 15 19 24 29 33 38 43 48 53 58 63 67 72
(((if (x div (((2 + 1) * 2) + 1)) <= 0 then 1 else ((x + 1) * (2 + 1))) + x) + (x div ((2 + 2) + 1)))
A212317: 1 2 3 4 5 7 8 32
((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * 2) * (((2 + 1) * 2) + 1)) + x) div 2) div 2) - 1)
A190701: 2 6 10 13 17 21 28 32 36 39 43 47 51 54 58 62
(((loop(\(x,i).(((2 + 2) * (x + 1)) - (((1 - x) * 2) div ((2 + 2) + 1))),2,x) div 2) div 2) - 1)
A189396: 4 8 14 18 24 28 33 38 43 48 52 57 62 67 72 77
(((((if x <= 0 then 1 else ((((x div 2) + 1) div (2 + 1)) + (((x * 2) + 1) * 2))) + x) + 2) + 2) + 1)
A212449: 6 12 17 22 28 33 38 43 48 53 59 64 69 74 79 84
((((((loop(\(x,i).((i + 1) * x),((x div (2 + 2)) + 2),1) mod (x + 1)) + 2) + x) div 2) div 2) + 1)
A107452: 1 1 2 2 3 2 3 3 4 3 6 4 5 6 5 5
(x mod ((((if (2 - x) <= 0 then (1 - (x mod ((((x mod 2) * 2) * 2) + 1))) else 1) + (x mod 2)) * 2) - 1))
A248395: 0 1 0 0 0 2 0 0 0 ~1 0 0 0 ~2 0 0
((x + 1) div (((if x <= 0 then 1 else ((((x mod ((x mod 2) + 2)) + 1) * (2 + 1)) + (x mod 2))) * 2) - 1))
A204389-A101048: 1 0 0 0 1 0 1 0 1 1 2 0 2 1 3 2
(loop(\(x,i).(x * 2),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * (((x mod 2) * 2) + 1))
A071044: 1 3 2 6 2 6 4 12 2 6 4 12 4 12 8 24
(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),(x div 2),((x mod 2) + 1)) * (((x mod 2) * 2) + 1))
A182752: 1 6 14 84 196 1176 2744 16464 38416 230496 537824 3226944 7529536 45177216 105413504 632481024
((((loop(\(x,i).(x * x),1,(((x * 2) * 2) - 1)) div ((2 + 2) + 1)) div (2 + 1)) + 1) mod (2 + 1))
A081285: 1 1 1 0 1 1 0 1 2 1 0 1 1 0 1 2
(((loop(\(x,i).(x * x),1,((((x + 2) + 2) * 2) div ((2 + 2) + 1))) div (2 + 1)) + 1) mod (2 + 1))
A160096: 1 2 2 2 1 1 0 0 0 0 0 1 1 1 2 2
((((loop(\(x,i).(((x * x) * x) div 2),1,(((x + 2) * x) + 1)) div 2) div (2 + 1)) + 1) div (2 + 1))
A061004: 0 2 20 114 434 1296 3268 7282 14762 27778 49210 82944 134078 209154 316406 466034
((((((loop(\(x,i).(x * x),1,((x + 2) * 2)) + x) * (x + 1)) div 2) div (2 + 1)) + 1) div (2 + 1))
A131177-A092498: 1 4 11 23 41 67 102 147 204 274 358 458 575 710 865 1041
(((loop(\(x,i).((2 + 1) * x),(((((x mod (2 + 1)) - 1) * x) div 2) - 1),1) * 2) + 1) div (2 + 1))
A090163: 1 1 1 1 1 2 1 1 18
((1 - (if x <= 0 then 0 else (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1))) mod (2 + 1))
A171919: 1 0 0 2 0 0 0 0 2 0 0 1 0 0 0 2
((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) - ((x + 2) div ((2 + 2) + 1)))) * 2) + 1) div (2 + 1))
A137002: 1 5 11 15
A314049: 1 5 11 15 21 26 31 37 41 47 52 57 63 67 73 78
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((2 - x) div ((2 + 2) + 1))) * 2)) * 2) + 1) div (2 + 1))
A301718: 1 5 11 17 23 28 33 39 45 51 56 61 67 73 79 84
((((if x <= 0 then 1 else (((2 div ((((2 + 2) * 2) * 2) - x)) + (x + 1)) * 2)) * 2) + 1) div (2 + 1))
A187885: 1 3 4 5 7 8 9 11 12 13 15 16 17 19 21 24
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * 2) + 1) * (2 + 1)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242125: 2 3 5 7 11 13 17 19 23 2 4 10 14 16 20 26
((loop(\(x,i).((x + 1) * 2),x,1) mod ((((x * 2) * (2 + 1)) + 2) * ((2 + 2) + 1))) mod (2 + 1))
A240021: 1 1 1 1 1 1 0 0 1 2 1 1 1 0 1 1
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((((x div 2) mod 2) + x) div 2) * 2) + 1) div (2 + 1)))
A315540: 1 6 11 17 23 29 34 39 45 51 57 62 68 74 79 85
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((((((x div 2) mod 2) + x) div 2) * 2) + 1) div (2 + 1)))
A314893: 1 5 9 14 19 24 28 32 37 42 47 51 56 61 65 70
((((if x <= 0 then 1 else (((x * 2) * (2 + 1)) - ((((x div 2) mod 2) - x) div 2))) * 2) + 1) div (2 + 1))
A314683: 1 5 9 13 17 22 26 30 35 39 43 47 52 57 61 65
((loop(\(x,i).(((2 + 1) * x) * (2 + 1)),x,((((2 + 2) * 2) + x) + 1)) div (2 + 1)) div (2 + 1))
A081109: 1 10 99 972 9477 91854 885735 8503056 81310473 774840978 7360989291 69735688020 659002251789 6213449802582 58462914051567 549043018919064
(((((x + 1) div ((if (x mod ((x mod (2 + 2)) + 2)) <= 0 then 2 else 1) + 1)) + 2) div (2 + 1)) mod (2 + 1))
A217463-A216501: 0 1 1 1 1 1 1 2 1 1 2 2 2 0 0 2
((x div 2) - (2 - (((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * (2 + 1))))
A285979: 1 4 11 14 18 24 31 37 41 44 51 54 58 64 68 71
(((loop(\(x,i).(x * x),1,(((x + 2) * (x + 1)) div 2)) * (x + 1)) * ((x + 2) + 1)) div (2 + 1))
A165187: 1 24 180 800 2625 7056 16464 34560 66825 121000 207636 340704 538265 823200 1224000 1775616
((((((x div 2) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2))) + (((x * 2) + 1) div (2 + 1)))
A313862: 1 5 10 16 21 25 31 37 41 46 52 57 62 67 72 78
((((x * 2) * 2) - ((((x div 2) mod 2) - (if x <= 0 then 1 else x)) div 2)) + (((x * 2) + 1) div (2 + 1)))
A315274: 1 6 10 15 21 26 31 36 41 47 52 56 62 68 72 77
((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) div (2 + 2)) + x) + 1) + (((x div 2) + 1) div (2 + 1)))
A288378: 1 2 3 5 7 8 10 11 12 13 16 17 18 19 21 22
(((((((if (x - (2 + 1)) <= 0 then x else 0) + (x * 2)) div (2 + 1)) * 2) + 1) * (x + 1)) mod (2 + 1))
A135298: 1 0 0 1 1 0 0 0 0 1 2 0 2 1 0 0
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1)) + ((x + 2) * (x + 1))) + (2 + 1))
A188555: 5 9 16 28 48 80 129 201 303 443 630 874 1186 1578 2063 2655
((((((loop(\(x,i).((x + 2) * 2),x,(2 + 1)) * ((2 + 2) + 1)) + 1) * 2) + 1) * 2) * (2 + 1))
A304614: 198 618 1458 3138 6498 13218 26658 53538 107298 214818 429858 859938 1720098 3440418 6881058 13762338
(((((((loop(\(x,i).(((x * 2) + 1) * i),x,1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A064875: 0 0 1 1 0 1 1 1 2 0 1 1 2 2 2 2
(((((((loop(\(x,i).((x div 2) + x),x,(2 + 1)) - (x mod 2)) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A057591: 1 1 2 2 2 4 5 7 11 16 24
((if x <= 0 then 1 else (((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + 2)) + (2 + 1))
A136004: 4 5 6 5 6 7 6 5 6 7 8 7 6 7 6 5
(((((if x <= 0 then 1 else ((x * 2) * 2)) * 2) - ((x * 2) div (((2 + 1) * 2) + 1))) * 2) div (2 + 1))
A313836: 1 5 10 16 20 26 31 36 41 46 52 56 62 67 72 77
(((loop(\(x,i).(((x * 2) * (2 + 1)) + 2),(x div 2),(x mod 2)) * ((2 + 2) + 1)) + 2) * (2 + 1))
A056488: 6 21 36 126 216 756 1296 4536 7776 27216 46656 163296 279936 979776 1679616 5878656
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((x - ((2 - x) div ((2 + 2) + 1))) * 2)) div (2 + 1)))
A250120: 1 5 9 15 19 24 29 33 39 43 48 53 57 63 67 72
(((((((if (x mod 2) <= 0 then 2 else 0) + (x div 2)) * ((x div 2) + 1)) + 1) div (2 + 1)) + 2) div (2 + 1))
A266755: 1 0 1 1 2 1 3 2 4 3 5 4 7 5 8 7
(((loop(\(x,i).((((((2 + 2) + 1) * 2) * 2) + x) * 2),(x + 1),1) + (2 + 1)) * 2) * (2 + 1))
A278130: 270 762 1746 3714 7650 15522 31266 62754 125730 251682 503586 1007394 2015010 4030242 8060706 16121634
((loop(\(x,i).(x - (((x div 2) - 2) div (2 + 1))),2,x) + (x - 1)) * (((2 + 1) * 2) * (2 + 1)))
A044120: 18 54 90 108 126 162 198 234 270 306 324 342 378 414 450 486
((loop(\(x,i).((x + 1) * x),1,((((x + 2) * (x + 2)) - 1) * ((x + 2) + 1))) div 2) div (2 + 1))
A024197: 15 176 950 3480 10045 24640 53676 106800 197835 345840 576290 922376 1426425 2141440 3132760 4479840
((loop(\(x,i).(x * x),1,((((((x + 2) + 2) * (x + 2)) div 2) - (x mod 2)) + 1)) div 2) div (2 + 1))
A338429: 4 8 28 48 104 160 280 400 620 840 1204 1568 2128 2688 3504 4320
((((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A027801: 5 45 210 700 1890 4410 9240 17820 32175 55055 90090 141960 216580 321300 465120 658920
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(x - (1 - (((x + 1) * 2) * (2 + 1)))))
A017047: 78125 35831808 893871739 8031810176 42618442977 163840000000 506623120463 1338925209984 3142742836021 6722988818432 13348388671875 24928547056768 44231334895529 75144747810816
(((loop(\(x,i).((((1 - x) * 2) div ((2 + 2) + 1)) * 2),x,(0 - x)) mod (x + 1)) + 2) div (2 + 1))
A343333: 0 0 1 1 1 2 1 2 2 2 3 2 3 2 4 2
((((((x div (2 + 1)) div ((if ((x div (2 + 2)) - 2) <= 0 then 2 else 0) + 1)) + 1) * 2) * 2) div (2 + 1))
A032558: 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 8
(((((x div ((if (((x div 2) * x) mod 2) <= 0 then x else (x mod (2 + 1))) + 1)) + 1) * 2) * 2) div (2 + 1))
A323921: 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 21
(((loop(\(x,i).(((x * x) * 2) * ((2 + 2) + 1)),(((2 + 1) * x) + 1),1) * 2) * 2) div (2 + 1))
A093671: 13 1333333333333333 4611686018427387903 4611686018427387903
((((((if ((x - 1) mod (2 + 1)) <= 0 then (x * 2) else 0) + 1) * ((2 + 2) + 1)) div 2) * 2) div (2 + 1))
A267318: 1 4 1 1 14 1 1 24 1 1 34 1 1 44 1 1
((x * x) div (((if x <= 0 then 1 else (x - (((x mod ((x div 2) + 2)) div (2 + 1)) * 2))) + 2) + (2 + 1)))
A248517: 0 0 0 1 1 2 3 4 4 6 7 8 9 10 11 14
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1)))
A315761: 1 6 12 18 24 29 34 40 46 52 58 64 70 76 82 87
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1)))
A313719: 1 5 10 15 20 24 28 33 38 43 48 53 58 63 68 72
((((loop(\(x,i).(x * 2),x,((x mod ((x mod (2 + 2)) + 2)) + 1)) mod (x + 1)) + 2) * 2) mod (2 + 1))
A143111: 1 1 1 1 0 1 1 1 0 2 1 0 0 0 1 1
(((((1 - (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div (2 + 1))) mod (x + 1)) + 2) * 2) mod (2 + 1))
A064692: 1 0 0 0 1 0 1 0 2 1 1 0 0 0 1 0
loop(\(x,i).(((((((x + 2) + 2) * 2) * ((2 + 2) + 1)) + (x + 1)) * (x + 1)) div 2),2,(2 + 1))
A263081: 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340 124340
(((((if (2 - x) <= 0 then (((x - 1) mod (((2 + 2) * 2) + 1)) + 2) else 1) + 2) + 2) + 2) + (2 + 1))
A063660: 10 10 12 13 14 15 16 17 18 19 11 12 13 14 15 16
(((((((if (2 - x) <= 0 then ((x div (2 + 2)) + 2) else 1) + x) * (2 + 1)) div 2) * 2) * 2) div (2 + 1))
A308416: 1 4 8 9 13 16 17 20 24 25 28 29 33 36 37 40
(((((loop(\(x,i).(((x + 2) + 2) * (2 + 1)),(x + 1),0) mod (x + 1)) div 2) + 2) * 2) mod (2 + 1))
A225245: 1 1 1 1 0 1 2 1 0 0 1 1 1 1 1 1
((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1))
A307408: 2 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((x - ((((x + 1) div 2) div 2) div 2)) * 2) div (2 + 1)))
A315490: 1 6 11 16 22 27 32 38 44 49 54 60 65 70 76 82
((((((((loop(\(x,i).((2 + 1) * x),(x - 2),x) + x) div 2) div 2) div 2) div 2) + 2) * 2) mod (2 + 1))
A141647: 1 1 1 1 2 2 1 0 2 1 1 2 0 0 2 1
((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod ((((x mod (2 + 2)) + 2) * 2) * 2)) mod (2 + 1))
A035196: 1 1 0 1 2 0 1 1 1 2 2 0 2 1 0 1
(1 - (if (x - 1) <= 0 then (x * 2) else ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (2 + 1))))
A143209: 1 ~1 1 1 2 1 1 2 2 1 1 2 2 2 1 1
((((loop(\(x,i).(x - ((((x mod 2) - x) - 1) div ((2 + 2) + 1))),x,1) + x) div 2) + 2) + (2 + 1))
A120190: 5 6 7 8 9 10 12 13 15 17 20 23 26 30 34 39
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((1 - (((((x div 2) mod 2) + x) div 2) * 2)) div (2 + 1)))
A314124: 1 5 11 16 21 26 32 38 43 48 53 59 64 69 75 80
((((((((loop(\(x,i).(x * x),(2 + 2),2) mod (x + 1)) + 2) * x) + 2) * x) + 2) + 2) div (2 + 1))
A337639: 1 2 6 9 20 54
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(1 - (x - (((x * 2) * 2) * (2 + 1)))))
A017407: 1 35831808 3404825447 52523350144 373669453125 1727094849536 6060711605323 17565568854912 44231334895529 100000000000000 207616015289871 402271083010688 736141813551277 1283918464548864
loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(1 - (x - (((x * 2) * 2) * (2 + 1)))))
A050490: 1 12 46 170 630 2352 8844 33462 127270 486200 1864356 7171892 27665596 106977600 414538200 1609344270
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(2 - (x - (((x * 2) * 2) * (2 + 1)))))
A017419: 128 62748517 4586471424 64339296875 435817657216 1954897493193 6722988818432 19203908986159 47829690000000 107213535210701 221068140740608 425927596977747 775771085481344 1347646586640625
((x + 1) - ((((((if x <= 0 then 1 else x) + (x div 2)) mod ((x div (2 + 1)) + 1)) + x) + 2) div (2 + 1)))
A005185: 1 1 2 3 3 4 5 5 6 6 6 8 8 8 10 9
((((if (((x - 1) * x) mod ((2 + 2) + 1)) <= 0 then (x mod ((2 + 2) * 2)) else 1) + x) * 2) mod (2 + 1))
A229764: 0 1 0 2 1 2 0 1 0 2 0 1 2 1 0 2
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1)))
A315488: 1 6 11 16 22 27 32 37 42 48 53 58 64 70 75 80
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1)))
A314706: 1 5 9 13 18 22 26 30 34 39 43 47 52 57 61 65
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((((x div 2) div (2 + 1)) mod 2) - x) * 2) div (2 + 1)))
A315703: 1 6 12 17 23 29 34 39 45 51 56 62 68 74 80 85
((if x <= 0 then 1 else ((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1))) + ((x * 2) * (2 + 1)))
A314252: 1 5 11 17 23 29 35 41 47 53 58 63 69 75 81 87
((if x <= 0 then 1 else ((((((x div 2) div (2 + 1)) mod 2) - x) * 2) div (2 + 1))) + ((x * 2) * (2 + 1)))
A313879: 1 5 10 16 21 26 32 38 43 48 54 59 64 69 74 80
((if x <= 0 then 1 else ((((x * 2) + 1) div (((2 + 1) * 2) + 1)) - (2 + 2))) + ((x * 2) * (2 + 1)))
A272930: 1 2 8 15
A213082: 1 2 8 15 21 27 33 40 46 52 59 65 71 77 84 90
((((((((2 + 2) * (2 + 1)) - 1) * x) * x) + 1) * (if x <= 0 then 1 else x)) + ((x * 2) * (2 + 1)))
A008528: 1 18 102 318 732 1410 2418 3822 5688 8082 11070 14718 19092 24258 30282 37230
(((loop(\(x,i).((((x - ((x div 2) div (2 + 1))) div 2) + x) + (2 + 1)),2,x) + x) * 2) - (2 + 1))
A209624-A175888: 11 17 23 29 37 41 47 53 59 67 71 79 83 89 97 101
(((((if x <= 0 then 1 else (((((x * x) div ((2 + 2) * 2)) * 2) + x) * 2)) + x) + x) + 2) div (2 + 1))
A127758: 1 2 3 6 8 11 14 18 22 26 30 35 40 46 51 58
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((((x div (2 + 1)) + x) mod (2 + 1)) + x) div (2 + 1)))
A314848: 1 5 9 14 18 24 28 33 37 42 47 51 56 60 66 70
(((((((((loop(\(x,i).((i + x) * 2),x,2) - 1) * 2) * 2) * 2) * 2) + 1) * 2) + x) div (2 + 1))
A059135: 11 54 161 396 887 1890 3917 7992 16163 32526 65273 130788 261839 523962 1048229
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((((((x div 2) mod 2) + x) div 2) * 2) + x)) div (2 + 1)))
A313099: 1 4 9 14 19 23 28 33 37 42 47 52 56 60 65 70
(((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) + ((x + 1) * (2 + 1))) + (x div (2 + 1)))
A190306: 3 7 10 15 18 22 26 30 33 38 41 45 50 53 57 61
(((if x <= 0 then 2 else (x - (((x mod ((2 + 1) * 2)) + (x div (2 + 2))) div 2))) div 2) - (x div (2 + 1)))
A029415: 1 0 0 0 0 0 1 1 1 0 0 1 1 1 2 1
((((if x <= 0 then 1 else (((((x div 2) + (x * 2)) + 1) + (x div (2 + 1))) * 2)) + x) + x) + (2 + 1))
A063215: 4 11 19 27 35 41 51 57 65 73 81 87 97 103 111 119
(((loop(\(x,i).((x + 1) * x),1,((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) - 1)) + x) * 2) + 1)
A143452: 1 3 5 7 9 11 13 15 17 19 21 27 37 51 69 91
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((2 + 2) * (x + 1)) + x) * 2) - 1))
A017359: 823543 410338673 10460353203 94931877133 506623120463 1954897493193 6060711605323 16048523266853 37725479487783 80798284478113 160578147647843 300124211606973 532875860165503
(((x * 2) - ((((x + 1) div 2) div 2) - (((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2))) + 1)
A231407: 1 4 6
A189473: 1 4 6 8 10 13 15 17 19 22 24 26 29 31 34 35
(x mod ((((((((if (x mod 2) <= 0 then x else 1) + x) div ((2 + 2) + 1)) * (2 + 1)) div 2) + x) div 2) + 1))
A161229: 0 0 0 1 1 1 1 2 1 2 1 3 2 4 3 5
((((((if x <= 0 then 1 else (((((((x + 2) + 2) + 2) * 2) * 2) + x) * 2)) + 2) + 2) + x) * 2) + 1)
A174270: 11 127 149
((((if x <= 0 then 1 else (compr(\x.((((((x div 2) div (2 + 1)) + x) div 2) + 1) mod 2),x) + 2)) + x) div 2) + 1)
A231407: 1 4 6
A299540: 1 4 6 8 9 10 11 13 14 16 17 19 21 22 24 26
(loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),(x * 2),1) * ((((x + 2) * x) * 2) + 1))
A256462: 1 14 238 4092 70070 1192516 20177164 339653880 5692584870 95050101300 1581953021220 26255495764680 434697697648188 7181635051211432 118422830335911640 1949458102569167344
(loop(\(x,i).(x * 2),x,1) mod compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1)))
A222011: 1 2 4 8
A175156: 1 2 4 8 6 8 8 8 0 8 4 11 4 8 9 8
(loop(\(x,i).(x * 2),x,2) mod compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1)))
A073800: 2 4 0 7 2 4 2 1 0 16 8 1 8 16 18 16
(((loop(\(x,i).(((2 + 2) + 1) * x),x,(x + 2)) * ((x + 2) + 2)) * (x + 1)) * ((x + 2) + 1))
A154128: 24 600 9000 105000 1050000 9450000 78750000 618750000 4640625000 33515625000 234609375000 1599609375000 10664062500000 69726562500000 448242187500000 2838867187500000
(((((if (x mod (2 + 1)) <= 0 then (2 - ((x div 2) mod 2)) else 0) + 1) * (x mod 2)) + 2) * ((x + 2) + 1))
A114797: 6 12 10 24 14 24 18 30 22 60 26 42 30 48 34 72
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - (((1 - x) * 2) div ((x + 2) + 1)))
A098393: 2 3 6 8 12 14 19 21 25 31 33 39 43 45 49 55
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) - (((2 + 1) * x) div ((x + 2) + 1)))
A163292: 1 2 3 5 9 11 14 16 20 26 28 34 38 40 44 50
(((((loop(\(x,i).((i + x) - (x div (((2 + 1) * 2) + 1))),x,1) + x) + x) div 2) + (x * 2)) + 1)
A181625: 1 5 9 13 18 23 28 33 39 44 50 56 62 68 74 80
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x div 2),((x mod 2) + 1)) * ((x div 2) + 1))
A222011: 1 2 4 8
A026023: 1 2 4 8 15 30 56 112 210 420 792 1584 3003 6006 11440 22880
((((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) + (if x <= 0 then 0 else 1)) * 2) - (x mod 2)) + 1)
A288569: 1 2 3 2 3 4 3 2 3 4 3 4 3 4 5 2
(if (x mod 2) <= 0 then 1 else (((x div ((x div (((2 - (x div 2)) mod (2 + 2)) + 1)) + 2)) + (x mod 2)) + 1))
A308551-A285324: 1 2 1 3 1 2 1 4 1 3 1 3 1 2 1 5
(loop(\(x,i).((2 + 1) * x),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((x mod 2) + 1))
A323642: 1 2 3 6 3 6 9 18 3 6 9 18 9 18 27 54
(compr(\x.((((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 0 else x) + 1) mod ((x div (2 + 1)) + 1)) - 1),x) + 1)
A334929: 1 2 3 4 5 6 7 8 9 12 15 18 21 22 24 27
(compr(\x.((x mod (((loop(\(x,i).(1 - (x * 2)),x,((2 + 1) * 2)) - 1) mod (x + 1)) + 1)) - 1),x) + 1)
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A082918: 1 2 3 4 5 6 7 8 9 10 12 13 14 19 21 24
(compr(\x.((((loop(\(x,i).((((2 + 2) + 1) * x) + 2),x,1) div (x + 1)) + 1) mod (2 + 1)) - 1),x) + 1)
A201363: 2 3 7
A246448: 2 3 7 8 10 11 12 13 14 15 17 18 19 20 22 23
((((1 - x) mod (((1 - loop(\(x,i).((x - 2) * 2),(x - 2),0)) mod ((x * 2) + 1)) + 1)) + x) + 1)
A222011: 1 2 4 8
A258096: 1 2 4 8 7 10 12 8 18 18 16 24 21 20 28 32
(compr(\x.((x + 1) mod ((x div (((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + (x mod 2)) + 1)) + 1)),x) + 1)
A141113: 1 2 4 6 12 15 16 20 21 24 27 28 32 33 36 39
(compr(\x.(x mod (((loop(\(x,i).((x - (i mod 2)) * 2),x,((x * 2) + 1)) - 1) mod (x + 1)) + 1)),x) + 1)
A340077-A179458: 1 3 5 7 11 13 15 17 19 23 29 31 37 41 43 47
(compr(\x.(((loop(\(x,i).((((x * x) - 2) * 2) * (2 + 1)),2,(x + 1)) + 1) mod (x + 1)) - 1),x) + 1)
A185092: 1 2 3 4 6 12
A018683: 1 2 3 4 6 12 71 142 213 284 426 852
(compr(\x.(((((2 + 1) * x) * (2 + 1)) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1),x) + 1)
A052347: 1 2 3 4 5 6 8 9 10 12 16 18 20 24 32 36
(compr(\x.((x - (((2 + 2) * (x + 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) - 1),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A233205: 1 2 3 4 5 6 8 10 12 16 24 32 48 64 96 128
loop(\(x,i).((x * x) * x),1,(compr(\x.(x mod (((x mod (x - ((x mod (2 + 2)) + 1))) div 2) + 1)),x) + 1))
A125496: 1 8 27 64 125 343 512 729 1331 2197 3375 4096 4913 6859 9261 12167
(compr(\x.(1 - ((x div 2) mod ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 1) * 2)) + 1))),x) + 1)
A237417: 3 5 6 9 10 12 15 17 18 20 21 23 24 27 29 30
(compr(\x.(x mod (((((x * 2) mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) * 2) + 1)),x) + 1)
A231407: 1 4 6
A133483: 1 4 6 7 10 11 13 16
A153082: 1 4 6 7 10 11 13 16 18 19 21 22 25 26 28 31
(if x <= 0 then 0 else ((((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) * (((2 + 2) * 2) + 1)) + x) + 1))
A162672: 0 11 12 13 14 15 16 17 18 19 110 111 112 113 114 115
loop(\(x,i).((((((x * 2) * (2 + 1)) * (2 + 1)) div (i + 1)) + (x * 2)) * ((2 + 2) + 1)),x,1)
A053113: 1 55 2200 71500 2002000 50050000 1144000000 24310000000 486200000000 9237800000000 167960000000000 2939300000000000 49742000000000000 817190000000000000 4611686018427387903 4611686018427387903
(compr(\x.(2 - ((((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2) + 1) mod (2 + 1))),x) + 1)
A154663: 3 5 6 7 10 11
A335657-A038550: 3 5 6 7 10 11 12 13 14 17 19 20 22 23 24 26
((((((x + 1) div (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 1)) * 2) * (2 + 1)) - x) - 1)
A307151: 5 10 15 20 1 30 35 40 45 2 55 60 65 70 3 80
(compr(\x.((0 - ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2)) mod (2 + 1)),x) + 1)
A171561: 1 2 3 5 7 8 11 13 17 19 23 27 29 31 32 37
((((((((loop(\(x,i).(x * x),2,(2 + 1)) + 2) * (x + 1)) + 1) * 2) * 2) * (2 + 1)) + x) + 1)
A100776: 1009 2006 3003 4000 4997 5994 6991 7988 8985 9982 10979 11976 12973 13970 14967 15964
(((((((if ((x - 1) mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 2) + x) + x) * 2) div (2 + 1)) + x) + 1)
A187686: 2 4 7 9 11 14 16 18 20 23 25 28 30 32 35 36
loop(\(x,i).(((((((i * 2) + 1) * x) * 2) * ((i * 2) + 1)) div (i + 1)) * ((i * 2) + 1)),x,1)
A060629: 1 27 2250 385875 112521150 49921883550 31336679474100 26440323306271875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) + 1)),x,1)
A000891: 1 3 20 175 1764 19404 226512 2760615 34763300 449141836 5924217936 79483257308 1081724803600 14901311070000 207426250094400 2913690606794775
(compr(\x.(loop(\(x,i).((x * x) * x),2,((((2 + 2) * 2) * ((2 + 2) + 1)) - 1)) mod (x + 1)),x) + 1)
A107364: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 2187
(compr(\x.(2 - (loop(\(x,i).(x * x),2,((((2 + 2) * (2 + 1)) * (2 + 1)) - 1)) mod (x + 1))),x) + 1)
A219256: 10 11 13 14 15 19 20 21 22 23 26 27 28 29 30 31
(compr(\x.(loop(\(x,i).((x * x) * x),2,((((((2 + 2) * 2) * 2) * 2) * 2) + 1)) mod (x + 1)),x) + 1)
A107466: 1 5 13 25 65 125 169 325 625 845 1625 2197 3125 4225 8125 10985
(compr(\x.(loop(\(x,i).((((2 + 2) * 2) + x) * (x + 2)),2,(((2 + 2) * 2) + 1)) mod (x + 1)),x) + 1)
A218584: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91
(compr(\x.(loop(\(x,i).((x + 2) * x),2,(((((x mod 2) * 2) + 1) * 2) * (2 + 1))) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A336505: 1 2 3 4 5 6 8 10 12 15 16 18 20 24 25 30
(compr(\x.(x - ((loop(\(x,i).((((x * 2) * 2) + (i mod 2)) * x),2,(x * 2)) + 1) mod (x + 1))),x) + 1)
A018646: 1 2 3 6 131 262 393 786
(compr(\x.(((loop(\(x,i).(x * x),2,(((x * 2) * 2) * ((2 + 2) + 1))) * x) + 1) mod (x + 1)),x) + 1)
A018432: 1 3 7 19 21 57 133 399
(compr(\x.((loop(\(x,i).((x * 2) * 2),((((2 + 2) * (2 + 1)) - 1) * 2),x) + 1) mod (x + 1)),x) + 1)
A003549: 1 3 5 15 23 69 89 115 267 345 397 445 683 1191 1335 1985
(compr(\x.((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 + 2) + 1) * 2),x) + 1) mod (x + 1)),x) + 1)
A027895: 1 3 9 11 33 41 99 123 271 369 451 813 1353 2439 2981 4059
(compr(\x.(((loop(\(x,i).(x * x),2,((x - ((2 - x) * (2 + 2))) * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018586: 1 3 5 9 15 25 27 45 75 135 225 675
(compr(\x.(((loop(\(x,i).((x - ((x * x) * (2 + 1))) - 1),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018595: 1 2 4 173 346 692
(compr(\x.(((loop(\(x,i).(((x + 1) * x) * ((2 + 2) + 1)),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018513: 1 3 9 61 183 549
(compr(\x.(x - (((loop(\(x,i).(((x * x) * (2 + 2)) - 1),2,(x * 2)) * x) + 1) mod (x + 1))),x) + 1)
A318165: 1 3 13
A018709: 1 3 13 23 39 69 299 897
(compr(\x.(((loop(\(x,i).(((((x * 2) * 2) + 1) * x) + 1),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018719: 1 3 5 15 61 183 305 915
(compr(\x.(((loop(\(x,i).((((x * x) * (2 + 1)) + x) + 1),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018420: 1 2 11 17 22 34 187 374
(compr(\x.(((loop(\(x,i).(((((2 + 1) * x) - 2) * x) + 1),2,(x * 2)) * x) + 1) mod (x + 1)),x) + 1)
A018672: 1 7 17 49 119 833
(compr(\x.(((loop(\(x,i).(((x * x) * x) * (x * x)),1,((2 + 1) * x)) * x) + 1) mod (x + 1)),x) + 1)
A018352: 1 2 4 61 122 244
(compr(\x.(((loop(\(x,i).(((x - ((x * x) * (2 + 1))) * 2) - 1),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018491: 1 2 11 22 23 46 253 506
(compr(\x.(((loop(\(x,i).(((((1 - x) * (x * 2)) - 1) * 2) - 1),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018505: 1 2 4 7 14 19 28 38 76 133 266 532
(compr(\x.(((loop(\(x,i).((((x + 2) * x) - 2) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018747: 1 2 4 241 482 964
(compr(\x.(((loop(\(x,i).(((0 - x) * (x * 2)) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018768: 1 7 11 13 77 91 143 1001
(compr(\x.(((loop(\(x,i).((((i + x) * x) + 2) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018548: 1 3 7 21 29 87 203 609
(compr(\x.(((loop(\(x,i).((((x + 2) + 2) * x) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018666: 1 2 4 8 103 206 412 824
(compr(\x.(((loop(\(x,i).((((x * 2) * (x - 1)) - 1) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018449: 1 2 4 107 214 428
(compr(\x.(((loop(\(x,i).((((x * x) - 2) * (2 + 1)) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018603: 1 2 5 10 71 142 355 710
(compr(\x.(((loop(\(x,i).((((0 - x) * x) * (2 + 1)) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018615: 1 2 5 10 73 146 365 730
(compr(\x.(((loop(\(x,i).(((((x * 2) - 1) * x) + 1) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018670: 1 2 5 10 83 166 415 830
(compr(\x.(((loop(\(x,i).(((((x * x) * 2) - 1) * 2) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018447: 1 5 17 25 85 425
(compr(\x.(((loop(\(x,i).((1 - ((x * x) * (2 + 2))) * (2 + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018751: 1 2 5 10 97 194 485 970
(compr(\x.(((loop(\(x,i).(x - (((1 - x) * (x * 2)) * (2 + 1))),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018584: 1 2 5 10 67 134 335 670
(compr(\x.(((loop(\(x,i).(((2 + 2) * (x - 1)) * ((x * 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018475: 1 5 19 25 95 475
(compr(\x.(((loop(\(x,i).((((((x * x) * 2) - 1) * 2) * 2) * 2),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018776: 1 5 7 29 35 145 203 1015
(compr(\x.(((loop(\(x,i).((1 - ((x * 2) * (2 + 1))) * (x + 2)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018418: 1 2 5 10 37 74 185 370
(compr(\x.(((loop(\(x,i).(((((i + 2) * x) * (2 + 1)) + 1) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018639: 1 5 25 31 155 775
(compr(\x.(((loop(\(x,i).(((((x * 2) * 2) * (i + 1)) - 1) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018745: 1 2 13 26 37 74 481 962
(compr(\x.(((loop(\(x,i).((x - (2 - ((x * 2) * (2 + 1)))) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018512: 1 2 4 137 274 548
(compr(\x.(((loop(\(x,i).((((((x * 2) * 2) + i) * 2) - 1) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018440: 1 2 4 103 206 412
(compr(\x.(loop(\(x,i).((((x * x) * x) + 1) * (2 + 1)),2,(((2 + 2) + 1) * 2)) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018616: 1 2 3 4 6 12 61 122 183 244 366 732
(compr(\x.((loop(\(x,i).((x + 1) * x),2,((((x * 2) + 1) * 2) * (2 + 1))) - 2) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018726: 1 2 4 8 16 29 32 58 116 232 464 928
(compr(\x.(loop(\(x,i).(((2 + 2) * (x + 1)) * (x + 1)),2,(((x * 2) * 2) * 2)) mod (x + 1)),x) + 1)
A018647: 1 2 4 197 394 788
(compr(\x.(((loop(\(x,i).(((x * x) * x) * (x - 1)),1,((x * 2) * 2)) * x) + 2) mod (x + 1)),x) + 1)
A018390: 1 2 3 6 53 106 159 318
(compr(\x.(x - (((loop(\(x,i).((((x * 2) * 2) + 1) * x),2,(x * 2)) * x) + 2) mod (x + 1))),x) + 1)
A018650: 1 3 5 15 53 159 265 795
(compr(\x.(loop(\(x,i).(((((2 + 2) * 2) * (x + 1)) - 1) * (x + 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018648: 1 2 5 10 79 158 395 790
((((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) mod (x + 1)) + x) + 1)
A332994: 1 3 4 7 6 9 8 15 13 13 12 19 14 17 19 31
(compr(\x.(((loop(\(x,i).((((x * 2) + 1) * x) * ((2 + 2) + 1)),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018367: 1 3 7 13 21 39 91 273
(compr(\x.(((loop(\(x,i).(((2 + 2) * (x - 1)) * ((x * 2) + 1)),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018474: 1 2 3 6 79 158 237 474
(compr(\x.(((loop(\(x,i).((((x * x) * (2 + 1)) * (2 + 1)) + 2),2,x) * x) + 2) mod (x + 1)),x) + 1)
A057245-A018282: 1 3 9 11 33 99
A004668: 1 3 9 11 33 99 121 363
A239661: 1 3 9 11 33 99 121 363 1089
(compr(\x.(((loop(\(x,i).((((((x * x) * 2) - 1) * 2) * 2) * 2),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018274: 1 2 3 6 13 26 39 78
A018775: 1 2 3 6 13 26 39 78 169 338 507 1014
(compr(\x.(((loop(\(x,i).((((i + 2) + 2) * x) * ((x + 2) + 2)),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018761: 1 2 4 13 19 26 38 52 76 247 494 988
(compr(\x.(((loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + 1) * x),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018531: 1 2 3 6 97 194 291 582
(compr(\x.(((loop(\(x,i).((x - ((1 - (x * 2)) * (2 + 1))) * x),2,x) * x) + 2) mod (x + 1)),x) + 1)
A018583: 1 2 4 167 334 668
(compr(\x.(((loop(\(x,i).(((x * 2) * 2) * (x + 1)),2,(x * 2)) * (x * x)) + 2) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018377: 1 2 5 10 29 58 145 290
(compr(\x.(loop(\(x,i).(((((x * x) * (x * x)) + 2) * x) * 2),1,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018488: 1 2 3 6 83 166 249 498
(compr(\x.(loop(\(x,i).((((x * x) * x) * ((x * 2) - 1)) * x),1,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018522: 1 3 7 9 21 27 63 81 189 567
(compr(\x.(loop(\(x,i).(((((x * x) * 2) - 1) * x) * (x * x)),1,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018466: 1 3 9 17 27 51 153 459
(compr(\x.(loop(\(x,i).(((((x * x) + (2 + 2)) * x) * x) * x),1,((2 + 1) * x)) mod (x + 1)),x) + 1)
A018407: 1 3 9 13 27 39 117 351
(compr(\x.(loop(\(x,i).(((((x + 2) + 2) * x) + 1) * (((2 + 1) * 2) + 1)),2,x) mod (x + 1)),x) + 1)
A018760: 1 3 7 21 47 141 329 987
(compr(\x.(loop(\(x,i).((((((x * 2) * 2) * 2) + 1) * x) * ((2 + 2) + 1)),2,x) mod (x + 1)),x) + 1)
A018319: 1 5 7 25 35 175
(compr(\x.(loop(\(x,i).(((((x * 2) - 1) * 2) * ((x * 2) - 1)) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018566: 1 2 3 6 107 214 321 642
(compr(\x.(loop(\(x,i).((((((x + 1) * x) * (2 + 1)) + 1) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018632: 1 2 3 6 127 254 381 762
(compr(\x.(loop(\(x,i).((((((x + 1) * x) * (2 + 1)) - 1) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018506: 1 2 3 6 89 178 267 534
(compr(\x.(loop(\(x,i).(((((x * 2) - (x mod (2 + 2))) * 2) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A344470-A053640: 1 2 3 4 6 8 9 12 16 18 20 24 32 36 40 48
(compr(\x.(loop(\(x,i).((((1 - (x * 2)) * 2) * (2 + 1)) * ((x * 2) - 1)),2,x) mod (x + 1)),x) + 1)
A018574: 1 2 3 6 109 218 327 654
(compr(\x.(loop(\(x,i).((((((i + x) * (x + 2)) * (2 + 1)) + 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018455: 1 2 4 109 218 436
(compr(\x.(loop(\(x,i).(((((((x * 2) + 1) * (2 + 1)) + x) * x) + 2) * 2),2,x) mod (x + 1)),x) + 1)
A225841: 1 2 4 523 1046 2092
(compr(\x.(loop(\(x,i).((((((x div 2) + x) + ((x * 2) * 2)) * 2) + 1) * x),2,x) mod (x + 1)),x) + 1)
A018516: 1 3 5 15 37 111 185 555
(((loop(\(x,i).((((((x * x) + 1) * x) * x) + 1) * (x + 1)),1,(x * x)) * (x + 1)) * x) + 1)
A060887: 1 13 8191 797161 22369621 305175781 2612138803 16148168401 78536544841 317733228541 1111111111111 3452271214393 9726655034461 25239592216021 61054982558011 139013933454241
loop(\(x,i).((((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2) * ((i * 2) - 1)) div (i + 1)),x,1)
A005568: 1 2 10 70 588 5544 56628 613470 6952660 81662152 987369656 12228193432 154532114800 1986841476000 25928281261800 342787130211150
(((((if (x mod (2 + 1)) <= 0 then 0 else (1 - (((x div ((2 + 2) + 1)) mod 2) * 2))) * 2) * 2) + x) + 1)
A230848: 1 6 7 4 9 2 7
(compr(\x.((x + 1) mod (if x <= 0 then 1 else (((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) + 2) * 2))),x) + 1)
A048168: 1 4 8 16 32 48 64 80 96 112 128 144 160 176 192 208
(((((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) - (x mod 2)) + 1) * (((x + 2) * x) + 1))
A082814: 12 88 207
((x - loop(\(x,i).((((((x - 2) * 2) div ((x div (2 + 2)) + 2)) mod 2) + x) + 1),x,0)) + (x + 1))
A285763: 1 2 2 2 3 4 4 4 5 6 7 8 8 8 8 8
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + (if x <= 0 then 0 else 1)) * (x + 1))
A188385: 0 2 3 8 5 6 7 24 18 10 11 24 13 14 15 64
compr(\x.(((x + 1) mod (((x + 1) div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) - 1),(x + 1))
A122957: 1 2 3 4 6 8 10 12 14 18 20 24 30 36 42 48
((((x div 2) div ((x mod ((if ((x mod (2 + 1)) - 1) <= 0 then (x div 2) else 2) + 1)) + 1)) + 1) * (x + 1))
A334463: 1 2 3 4 10 6 14 8 18 10 22 24 26 14 45 16
(((if x <= 0 then 2 else ((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1))) - 1) * (x + 1))
A224892: 1 ~2 ~3 ~4 ~5 0 ~7 0 ~9 0 ~11 12 ~13 0 0 0
(((x mod ((((if (x mod ((2 + 1) * 2)) <= 0 then (x * 2) else 1) + 1) mod (x + 1)) + 1)) + 1) mod (x + 1))
A308896: 0 1 0 1 2 3 0 2 3 1 2 3 0 2 3 1
((if x <= 0 then 0 else (((x - (((((1 - x) * x) div 2) div ((2 + 2) + 1)) - 1)) * 2) + 1)) div (x + 1))
A339085: 0 2 3 2 3 2 3 3 3 3 3 3 4 4 4 4
(((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 1) * (x + 1))
A064549: 1 4 9 8 25 36 49 16 27 100 121 72 169 196 225 32
(loop(\(x,i).(x * 2),(((((x mod (2 + 2)) + 1) * ((x div (2 + 1)) + 1)) div 2) div 2),1) div (x + 1))
A321188: 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 4
compr(\x.(x mod (((((x * 2) mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) * 2) + 1)),(x + 1))
A080307: 3 5 6 9 10 12 15 17 18 20 21 24 25 27 30 33
((((((loop(\(x,i).(x * 2),(x + 1),(0 - 2)) mod (x + 1)) div 2) div 2) + 1) mod (2 + 1)) mod (x + 1))
A062831: 0 1 1 1 1 2 1 1 1 1 2 2 0 2 1 1
(((if x <= 0 then 1 else ((((((x * x) * x) * (x * x)) + 1) * x) * (2 + 1))) * (2 + 1)) * (x + 1))
A272660: 3 36 1782
((((loop(\(x,i).(((i + 2) + 2) * x),x,(x + 2)) * ((x + 2) + 1)) div 2) div (2 + 1)) * (x + 1))
A001755: 1 20 300 4200 58800 846720 12700800 199584000 3293136000 57081024000 1038874636800 19833061248000 396661224960000 8299373322240000 181400588328960000 4135933413900288000
((((((if (x - 2) <= 0 then 1 else (((2 + 2) * 2) * 2)) * (2 + 1)) + 2) * 2) + (2 + 1)) * (x + 1))
A019551: 13 26 39 412 515 618 721 824 927 1030 1133 1236 1339 1442 1545 1648
(((((((loop(\(x,i).(x - (x div ((0 - 2) - 1))),x,1) + 1) div 2) + 1) * x) div 2) + 1) div (x + 1))
A322340: 1 1 1 1 1 2 3 4 5 6 8 11 15 20 27 36
loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (i + 1)) + (x * 2)),((x * 2) + 1),(x + 1))
A054327: 9 660 20592 411840 6223360 77395968 833495040 8033304576 70882099200 581979340800 4500640235520 33087710822400 232937484189696 1579462143508480 10363761453957120 66060621396836352
(((((if ((x + 2) mod ((2 + 1) * 2)) <= 0 then (x div (2 + 2)) else 0) + 1) - (x mod 2)) + 1) mod (x + 1))
A184166: 0 1 2 1 3 1 2 1 2 1 4 1 2 1 2 1
(loop(\(x,i).(((((((2 + 1) * i) * (2 + 1)) - 1) * x) div (i + 1)) * (2 + 1)),x,1) * (x + 1))
A097192: 1 24 612 15912 417690 11027016 292215924 7764594552 206732329947 5512862131920 147193418922264 3934078651195056 105236603919467748 2817102935690367408 4611686018427387903 4611686018427387903
compr(\x.(loop(\(x,i).(((x * x) * x) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1)),2,x) - 1),(x + 1))
A095034: 1 7 9 10 12 16 26 33 34
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) mod ((((x + 2) * x) + 1) * (x + 1)))
A099907: 0 3 10 35 1 30 1 291 253 378 1 782 1 2404 1260 291
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + ((((x + 2) * x) + 1) * (x + 1)))
A089620: 3 11 32 71 136 229 360 531 752 1029 1362 1765 2238 2787 3422 4149
(loop(\(x,i).((((((((x * 2) * 2) * 2) * 2) * 2) * (2 + 1)) div (i + 1)) + x),x,1) * (x + 1))
A017761: 1 98 4851 161700 4082925 83291670 1429840335 21243342120 278818865325 3283866636050 35137373005735 344985116783580 3133614810784185 26515202245096950 210227674943268675 1569699972909739440
((loop(\(x,i).(((((x * x) * x) + 1) * x) * (((x + 1) * x) + 1)),1,(x * x)) + 1) * (x + 1))
A104376: 1 14 16383 2391484 89478485 1525878906 15672832819 113037178808 628292358729 2859599056870 11111111111111 37974983358324 116719860413533 328114698808274 854769755812155 2085209001813616
(((((x div ((((x mod 2) + 2) * 2) + 1)) - ((x div 2) mod 2)) + (if x <= 0 then 0 else 1)) + 2) mod (x + 1))
A072660: 0 1 2 2 3 3 3 3 4 4 4 3 5 4 4 4
((((((loop(\(x,i).(((x + 1) * x) + 1),2,x) + 1) * (x + 1)) div (2 + 1)) + 1) * 2) + (x + 1))
A036235: 5 22 121 496
(((x - ((0 - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) div ((2 + 2) + 1))) + 2) mod (x + 1))
A270096: 0 1 1 2 1 2 1 3 3 2 1 2 1 2 3 4
((((loop(\(x,i).(((x + 2) * (x + 2)) * (2 + 1)),2,1) * (x + 1)) * (2 + 1)) + 2) * (x + 1))
A031765: 7571 30280 68127 121112 189235 272496 370895 484432 613107 756920 915871 1089960 1279187 1483552 1703055 1937696
((((loop(\(x,i).((((x + 1) * x) div 2) * ((x * 2) + 1)),2,2) + 1) * (x + 1)) + 2) * (x + 1))
A031739: 3723 14888 33495 59544 93035 133968 182343 238160 301419 372120 450263 535848 628875 729344 837255 952608
(((loop(\(x,i).(((x + 2) + 1) * ((x + 2) + 1)),2,((2 + 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031745: 4491 17960 40407 71832 112235 161616 219975 287312 363627 448920 543191 646440 758667 879872 1010055 1149216
(((loop(\(x,i).(((x + 2) + 2) * ((x + 2) + 2)),2,((2 + 2) + 1)) * (x + 1)) + 2) * (x + 1))
A031763: 7227 28904 65031 115608 180635 260112 354039 462416 585243 722520 874247 1040424 1221051 1416128 1625655 1849632
(((loop(\(x,i).(((((x + 2) * 2) * 2) * (x + 1)) + 1),2,(2 + 1)) * (x + 1)) + 2) * (x + 1))
A157820: 27227 108904 245031 435608 680635 980112 1334039 1742416 2205243 2722520 3294247 3920424 4601051 5336128 6125655 6969632
(((loop(\(x,i).(((((x + 2) * 2) * 2) * (x + 1)) + 1),2,(2 + 1)) * (x + 1)) - 2) * (x + 1))
A157814: 27223 108896 245019 435592 680615 980088 1334011 1742384 2205207 2722480 3294203 3920376 4600999 5336072 6125595 6969568
((loop(\(x,i).(((((((2 + 2) * 2) * 2) * 2) - 1) * x) * (2 + 1)),2,(x + 1)) + 2) * (x + 1))
A031771: 8651 34600 77847 138392 216235 311376 423815 553552 700587 864920 1046551 1245480 1461707 1695232 1946055 2214176
((loop(\(x,i).(((((2 + 2) * (2 + 1)) * ((2 + 2) + 1)) - 1) * x),2,(x + 1)) + 2) * (x + 1))
A031737: 3483 13928 31335 55704 87035 125328 170583 222800 281979 348120 421223 501288 588315 682304 783255 891168
((loop(\(x,i).(((((((2 + 2) * 2) * 2) * 2) * (2 + 1)) - 1) * x),2,(x + 1)) + 2) * (x + 1))
A031773: 9027 36104 81231 144408 225635 324912 442239 577616 731043 902520 1092047 1299624 1525251 1768928 2030655 2310432
((((x mod (((if (((x + 1) * x) mod ((2 + 2) * 2)) <= 0 then 2 else 0) * 2) + 1)) * 2) * 2) + (x + 1))
A285724: 1 2 3 4 5 6 7 16 21 10 11 12 13 14 15 16
(((loop(\(x,i).(x * x),1,(x - ((((1 - ((2 + 2) * 2)) * 2) * 2) - 1))) div 2) div 2) - (x + 1))
A159274: 209 223 237 252 267 283 299 316 333 351 369 388 407 427 447 468
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - ((1 - ((x mod 2) * 2)) * (x + 1)))
A176624: 1 5 2 11 6 19 10 27 14 39 20 49 28 57 32 69
((if x <= 0 then 1 else ((((((((((2 + 1) * x) - 2) * x) div 2) + 1) * 2) * 2) + 1) - x)) - (x + 1))
A211620: 0 2 16 38 76 122 184 254 340 434 544 662 796 938 1096 1262
(((((loop(\(x,i).(x * 2),((x - 2) div ((2 + 2) + 1)),1) + x) * 2) div (2 + 1)) + x) mod (x + 1))
A335599: 0 0 1 1 2 3 3 5 5 6 7 7 9 10 11 11
(((if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) + 1) * ((x * 2) + 1))) + x) div (x + 1))
A019433: 0 9 1 28 1 48 1 68 1 88 1 108 1 128 1 148
loop(\(x,i).(((((((((2 + 1) * 2) + 1) * x) * 2) div (i + 1)) + (x * 2)) * 2) * 2),x,(x + 1))
A141054: 1 72 2880 84480 2027520 42172416 787218432 13495173120 215922769920 3262832967680 46984794734592 649244436332544 8656592484433920 111869810568069120 1406363332855726080 4611686018427387903
loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * 2) div (i + 1)) + ((x * 2) * 2)),x,(x + 1))
A020932: 1 42 966 16100 217350 2521260 26053020 245642760 2149374150 17672631900 137846528820 1027583214840 7364346373020 50983936428600 342320716020600 2236495344667920
loop(\(x,i).(((((((2 + 2) + 1) * x) * 2) * (((2 + 2) * 2) + 1)) div (i + 1)) - x),x,(x + 1))
A017804: 1 88 3828 109736 2331890 39175752 541931236 6348337336 64276915527 571350360240 4513667845896 32006008361808 205371886988268 1200635647008336 6431976680401800 31731084956648880
loop(\(x,i).(((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) * 2) div (i + 1)) - x),x,(x + 1))
A017812: 1 96 4560 142880 3321960 61124064 927048304 11919192480 132601016340 1296543270880 11279926456656 88188515933856 624668654531480 4036320536972640 23929614612052080 130815226545884704
(loop(\(x,i).(((((x * x) * (x * x)) + 1) * ((x * x) + 1)) * (x + 1)),1,(x * x)) * (x + 1))
A105312: 1 16 65535 21523360 1431655765 38146972656 564221981491 5538821761600 40210710958665 231627523606480 1111111111111111 4594972986357216 16807659899548765 55451384098598320 167534872139182395 469172025408063616
loop(\(x,i).((x div (((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 1),1,(x - 1))
A090078: 0 1 2 3 2 5 6 7 2 5 10 11 6 13 14 15
loop(\(x,i).((x mod ((((x div (2 + 1)) + 1) mod (((x + 1) mod (2 + 2)) + 1)) + 1)) + 1),1,(x - 1))
A079115: 1 1 2 1 1 1 3 3 1 1 2 1 1 1 2 1
(loop(\(x,i).((((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + 1) + (x div (2 + 1))) + x),x,0) div 2)
A245968: 0 0 1 1 3 5 8 14 23 37 61 99 160 260 421 681
((loop(\(x,i).((((((((x * 2) * 2) * 2) * (2 + 1)) + 1) div (x + 1)) * 2) + 1),x,0) + 1) div 2)
A186682: 0 2 19 24 24 24 24 24 24 24 24 24 24 24 24 24
((((x + 1) mod ((x div (((2 - ((x mod (2 + 1)) div 2)) * 2) + 1)) + 1)) + (if x <= 0 then 0 else 1)) * 2)
A211449: 0 2 2 2 2 2 4 2 2 2 6 2 4 6 2 2
((((x + 1) mod ((if x <= 0 then 0 else ((x div (((((x div 2) mod 2) + 1) * 2) + 1)) + 1)) + 1)) + 1) div 2)
A066360: 0 0 1 0 1 0 1 1 1 0 2 0 1 1 2 1
(2 - ((2 - x) div (((x div 2) div ((x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) + 2)))
A194335: 1 2 2 3 3 3 4 4 4 4 5 5 6 5 4 5
((x mod ((x mod (((x - ((loop(\(x,i).(x * 2),x,2) mod (x + 2)) - 1)) mod (x + 1)) + 1)) + 1)) + 2)
A091963: 2 3 2 5 2 7 2 3 2 11 3 13 2 3 2 17
(((((x div 2) + 1) mod (((x - 1) mod ((if (x mod ((x mod 2) + 2)) <= 0 then 2 else 0) + 2)) + 1)) + 1) div 2)
A338690: 1 0 0 1 2 0 0 0 1 0 0 0 2 0 0 1
(loop(\(x,i).((2 + 1) * x),(2 - ((x + 1) mod (((2 - (x mod ((0 - 2) - 2))) * 2) + 1))),1) div 2)
A156393: 1 0 0 0 4 0 0 1 0 0 0 0 0 0 0 0
((((((loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,1) * 2) + 1) * 2) * ((2 + 2) + 1)) - 1) * 2)
A305263: 58 738 2098 4818 10258 21138 42898 86418 173458 347538 695698 1392018 2784658 5569938 11140498 22281618
(((if x <= 0 then 1 else (x div (((((x + 2) * x) mod (((2 + 1) * 2) + 1)) + 1) * (2 + 1)))) + 1) div 2)
A029399: 1 0 0 0 0 1 0 1 0 1 1 0 2 0 2 1
((if x <= 0 then 2 else (((x - (((((1 - x) div (2 + 1)) * (x - 1)) div 2) - 1)) div (2 + 1)) + 1)) div 2)
A029146: 1 0 1 1 1 2 2 2 3 4 4 5 6 6 8 9
((((((x + 2) * 2) mod ((if (x - 1) <= 0 then ((2 + 1) * 2) else (2 + 2)) + 1)) * (2 + 1)) + 1) div 2)
A254276: 6 9 5 0 3
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x + 1) * 2) * (2 + 1)) - 1) * 2))
A017647: 10000000 2494357888 52523350144 435817657216 2207984167552 8235430000000 24928547056768 64847759419264 150363025899136 318547390056832 627485170000000 1164175380274048 2054210978157184
(if x <= 0 then 1 else (((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) * 2))
A087135: 1 2 2 4 4 6 8 10 12 16 20 24 30 36 44 54
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * (2 + 1)) + 1) * 2))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242124: 2 3 5 7 11 13 17 19 23 3 5 11 15 17 21 1
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 2) * (2 + 1)) - 1) * 2))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242122: 2 3 5 7 11 13 17 19 1 7 9 15 19 21 3 9
((((loop(\(x,i).((((x * 2) div (((2 + 1) * 2) + 1)) + x) + 2),x,1) - x) div (2 + 1)) + 1) div 2)
A237751: 0 0 1 1 1 2 3 4 6 8 10 14 18 24 32 41
(((loop(\(x,i).((((((x + 2) * x) + 2) * 2) div ((2 + 2) + 1)) + 1),2,x) div (2 + 1)) + 1) div 2)
A265317: 1 1 3 5 10 17 33 53
(((x + 1) * 2) - (if x <= 0 then 1 else ((x mod 2) - (((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2))))
A120511: 1 3 6 7 11 12 14 15 20 21 23 24 27 28 30 31
(((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + 1) div ((x mod 2) + 1)) + 1) div 2)
A025812: 1 0 1 0 1 1 1 1 1 1 2 1 3 1 3 2
(1 - (((x + 1) mod ((((((if x <= 0 then 1 else x) + 1) mod (2 + 1)) + 1) * ((x mod 2) + 1)) + 1)) div 2))
A013596: 1 0 1 ~1 1 1 1 1 1 1 0 1 1 1 1 1
((x + 1) div (((x div 2) div ((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1)) + 2))
A316314-A183096-A183093-A095960: 0 1 1 1 1 3 1 1 1 3 1 4 1 3 3 1
((compr(\x.(loop(\(x,i).(i * x),((x mod ((x div (2 + 1)) + 1)) + 1),1) mod (x + 1)),(x + 1)) + 1) * 2)
A122181: 24 30 36 40 42 48 54 56 60 64 66 70 72 78 80 84
((((1 - ((((if (x mod (2 + 2)) <= 0 then 0 else 1) * ((x div 2) + 1)) div 2) * 2)) mod (x + 1)) + 1) div 2)
A071912: 0 1 1 2 1 3 2 3 1 4 3 4 1 5 4 5
(((((((x * 2) div (2 + 1)) * x) div 2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) div 2)
A277322: 0 0 1 0 2 1 3 0 1 1 4 1 5 2 2 0
((loop(\(x,i).(((((x * 2) div (((2 + 1) * 2) + 1)) + (x div (2 + 1))) + 1) + x),x,1) + 1) div 2)
A254729: 1 1 2 3 4 7 11 18 29 47 76 123 199 322 521 843
(x - ((2 + 1) - (((((if (x mod 2) <= 0 then (((x div 2) + 1) mod (2 + 2)) else 1) + 1) div 2) + 1) * 2)))
A267299: 1 2 3 4 7 6 5 8 9 10 11 12 15 14 13 16
(((((((loop(\(x,i).((i - (x div ((0 - 2) - 2))) + x),x,1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A239833: 0 1 1 1 2 2 3 4 6 7 10 13 17 22 28 36
(((((if (x div 2) <= 0 then 2 else ((x div (2 + 1)) * (x - 2))) mod (((2 + 1) * 2) + 1)) div 2) + 1) div 2)
A261612: 1 1 0 0 1 1 0 1 1 0 1 2 1 1 2 1
((((((loop(\(x,i).(x * 2),x,((x div (2 + 2)) + 1)) mod ((x + 2) + 1)) div 2) + 1) div 2) + 1) div 2)
A294019: 0 1 1 1 1 0 1 1 1 0 1 2 1 0 0 2
(((((((x - loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) * (2 + 1)) + 1) * (2 + 1)) div 2) + 1) div 2)
A165498: 1 3 1 8 1
A319045: 1 3 1 8 1 8 1 17 1
(if x <= 0 then 1 else (((x * 2) - ((x div (1 - ((2 + 2) * 2))) - (x div (((2 + 1) * 2) + 1)))) * 2))
A315175: 1 6 10 14 18 22 26 32 38 42 46 50 54 58 64 70
(((((((loop(\(x,i).(((x div 2) div (2 + 1)) + x),(x - 1),x) + 1) + x) div 2) + 1) div 2) + 1) div 2)
A026838: 0 1 1 1 1 2 3 3 4 5 6 7 9 11 14 16
(((((loop(\(x,i).(x * 2),(x * 2),((x div ((x mod 2) + 2)) + 1)) - 1) mod (x + 1)) div 2) + 1) div 2)
A333124: 0 0 0 1 1 0 1 2 2 1 1 1 2 1 2 4
(((((((if ((((x div 2) + x) mod (2 + 2)) - 2) <= 0 then 1 else 0) * 2) + 1) * (x + 1)) div 2) + 1) div 2)
A026366: 1 2 1 3 4 2 5 6 7 8 3 9 10 4 11 12
((((x + 1) div ((((if ((x - 2) mod ((2 + 1) * 2)) <= 0 then x else 2) + 1) mod (x + 1)) + 2)) + 1) div 2)
A115878: 0 0 1 0 1 1 1 1 2 1 1 1 1 1 4 2
(((x div (((((if (x mod (2 + 1)) <= 0 then 1 else 2) + (x mod (2 + 2))) * 2) mod (x + 1)) + 2)) + 1) div 2)
A063993: 0 0 0 1 0 1 0 1 1 1 1 0 2 1 1 1
(((((loop(\(x,i).((((x * 2) div (((2 + 1) * 2) + 1)) + x) + 2),x,2) + 1) div 2) div 2) + 1) div 2)
A064651: 0 1 1 2 2 3 4 5 7 9 12 15 20 25 33 42
((if x <= 0 then 2 else (((x - (((((0 - x) mod (2 + 2)) + 1) * ((x div 2) + 1)) div 2)) div 2) + 1)) div 2)
A025867: 1 0 0 0 1 0 0 1 2 0 0 1 2 0 1 2
((((loop(\(x,i).(((x div ((((x mod (2 + 1)) div 2) + 2) + 2)) + x) + 2),x,1) div 2) div 2) + 1) div 2)
A240200: 0 0 1 1 1 2 3 3 4 5 7 9 11 14 17 21
(1 - ((((x mod ((loop(\(x,i).(x * 2),((x + 1) mod (2 + 2)),2) mod (x + 1)) + 2)) div 2) + 1) div 2))
A279255: 1 1 0 0 0 1 0 0 0 ~1 0 0 1 0 0 0
(((loop(\(x,i).((x - (((x div (2 + 1)) + x) div ((2 + 2) + 1))) * 2),(x - 1),2) div 2) + 1) + 2)
A019527: 4 4 5 6 8 11 15 21 30 43 62 90 131 191 279 408
(if x <= 0 then 1 else (((x * 2) - ((1 - x) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1))) * 2))
A310368: 1 4 10 14 18 22 26 30 34 40 44 48 54 58 62 66
(((((loop(\(x,i).((x + 1) * 2),x,(((((2 + 2) * 2) * 2) - x) + 1)) div 2) div 2) div 2) + 1) div 2)
A222011: 1 2 4 8
A008936: 1 2 4 8 15 28 52 96 176 320 576 1024 1792 3072 5120 8192
(((((loop(\(x,i).((((x div ((2 + 2) + 1)) * 2) + x) + 1),(x + 1),2) div 2) div 2) div 2) + 1) div 2)
A289432: 0 0 0 1 1 1 1 2 3 4 6 8 11 15 21 30
(if (x div (2 + 1)) <= 0 then 1 else ((((x + 2) div ((x div ((0 - 2) - 2)) + ((2 + 2) * 2))) + 1) * 2))
A140839: 1 1 1 2 2 4
A098667: 1 1 1 2 2 4 4 4 4 6 6 6 6 8 10 10
((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),(x mod 2)) * (((2 + 2) * 2) + 1)) + 2)
A094629: 2 11 20 110 200 1100 2000 11000 20000 110000 200000 1100000 2000000 11000000 20000000 110000000
(((loop(\(x,i).((((x + 2) * x) + 2) * x),1,((x + 2) * (x + 1))) div 2) div ((2 + 2) + 1)) div 2)
A085465: 1 15 102 442 1443 3885 9100 19188 37269 67771 116754 192270 304759 467481 696984 1013608
((((loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),2,(x + 1)) - 2) * 2) * ((2 + 2) + 1)) * 2)
A157660: 7960 15960 23960 31960 39960 47960 55960 63960 71960 79960 87960 95960 103960 111960 119960 127960
(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) + (if x <= 0 then 1 else (((2 + 2) + 1) * 2)))
A284062: 1 11 12 13 14 15 16 17 18 19 21 31 41 51 61 71
(if x <= 0 then 1 else ((((2 + 1) * x) - ((((x div 2) mod ((2 + 2) + 1)) + x) div ((2 + 2) + 1))) * 2))
A315732: 1 6 12 18 22 28 34 38 44 50 56 62 68 74 78 84
((((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 2 else 0) - 1) * (((x div 2) * 2) + 1)) div 2)
A285779: 0 ~1 ~2 1 ~3 2 3 ~4 ~5 4 5 ~6 6 ~7 ~8 7
(((((((x mod (((if (x mod 2) <= 0 then x else 2) * 2) + 1)) div 2) + 1) div (2 + 1)) + 1) * (2 + 1)) - 2)
A318281: 1 1 1 1 4 1 4 1 4 4 7 1 7 1 7 1
((((((x div 2) * x) mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1)) * (2 + 1)) * (2 + 1)) div 2)
A071327: 0 0 0 4 0 0 0 4 9 0 0 4 0 0 0 4
(if x <= 0 then 1 else ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 2))
A142240: 1 2 2 2 3 2 2 4 4 2 2 5 6 5 2 2
((((((x mod ((if (x mod ((2 + 2) * 2)) <= 0 then x else 1) + 2)) div 2) * (2 + 1)) + 2) * (2 + 1)) - 2)
A088838: 4 4 13 4 4 13 4 4 40 4 4 13 4 4 13 4
(if x <= 0 then 1 else (((x * 2) - ((1 - (x - (((1 - (x * 2)) div (2 + 1)) * 2))) div (2 + 1))) * 2))
A315343: 1 6 10 16 22 28 34 40 44 50 56 60 66 72 78 84
((((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + (2 + 1)),(x + 1),2) div 2) + 2) div (2 + 1)) + 2)
A120172: 3 4 4 5 6 7 9 11 13 15 18 22 26 32 38 46
((((loop(\(x,i).((x + 1) * x),1,(x - ((x * x) div ((2 + 2) * 2)))) div 2) + 2) div (2 + 1)) div 2)
A334246: 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 13
((((loop(\(x,i).((x + 2) * x),1,((((x * x) * x) * (x * x)) + 2)) div 2) + 2) div (2 + 1)) div 2)
A274252: 1 1 102 5043 87894 815365 5042737 23548008 89494870 290594892 833383334 2161532576 5159904769 11488393301 24104823494 48054578907
(if ((x - 1) mod ((2 + 2) * 2)) <= 0 then 1 else (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)))
A330004: 0 1 1 2 1 2 2 3 1 1 2 3 2 3 3 4
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,((((2 + 2) + 1) * x) + (2 + 1))) div 2)
A165205: 1 4 13 45 161 588 2178 8151 30745 116688 445094 1704794 6552378 25258600 97617060 378098955
(loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) * 2) * 2),x,(2 + 1)) - 2)
A082816: 1 2 6 10 14 30 66
((((((loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * 2) + 1)) div 2) + 1) * 2) - (x mod (2 + 1))) div 2)
A076840: 1 1 2 5 3 2 1 1 2 5 3 2 1 1 2 5
(((loop(\(x,i).(((((2 + 2) + 1) * x) - (x mod (2 + 1))) + 1),x,2) div 2) + (x mod (2 + 1))) * 2)
A320521: 2 10 50 230 1150
((((if x <= 0 then 2 else ((((((x - 2) * x) * (x - 1)) div 2) div ((2 + 2) + 1)) + x)) div 2) + 1) div 2)
A321176: 1 0 1 1 2 3 5 7 10 15 21 28
(((((((x + 2) div (if ((x + 2) mod (((2 + 2) * 2) * 2)) <= 0 then 2 else 1)) div 2) + x) div 2) + 1) * 2)
A085271: 2 4 6 6 8 10 12 12 14 16 18 18 20 22 20 24
loop(\(x,i).(x * x),1,(((((((x + 2) * x) * (x + 1)) div (2 + 1)) + 1) * ((x div 2) + 1)) div 2))
A270538: 0 1 81 441 3721
(x div (((((((if ((x div 2) - 2) <= 0 then 0 else 1) + (x * 2)) * 2) * 2) + 1) mod ((x div 2) + 1)) + 2))
A242425: 0 0 0 1 2 1 2 2 1 2 3 2 2 2 2 2
((loop(\(x,i).((((((x mod 2) + (x * 2)) * (2 + 1)) + x) + 2) + x),(x div 2),(x mod 2)) + 1) div 2)
A299913: 0 1 1 7 9 55 73 439 585 3511 4681 28087 37449 224695 299593 1797559
((((((loop(\(x,i).((((i * i) * x) * (2 + 1)) div 2),x,1) div (x + 1)) + x) * x) div 2) + 1) div 2)
A085617: 0 0 2 17 392
((((loop(\(x,i).(x - (((((2 - (x div 2)) mod (x + 1)) div 2) div 2) - 1)),2,x) + x) * 2) - 1) * 2)
A062316: 6 14 22 30 38 42 46 54 62 66 70 78 86 94 102 110
((((loop(\(x,i).((x + 1) * 2),((x div (((2 + 1) * 2) + 1)) * 2),1) div (x + 1)) + x) + 1) div 2)
A238884: 1 1 1 2 2 3 3 4 5 5 5 6 6 7 9 9
(loop(\(x,i).(((((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2) div 2) mod 2) + (x * 2)),x,1) div 2)
A293322: 0 1 2 4 9 19 39 79 158 316 632 1265 2531 5062 10125 20251
((x - 1) mod (((if (x mod 2) <= 0 then ((x mod (((x - 1) mod (2 + 1)) + 2)) + 1) else 0) mod (x + 1)) + 2))
A219204: 1 0 1 0 0 0 0 0 2 0 0 0 2 0 3 0
(((((if x <= 0 then 1 else (((((x * x) * 2) - 1) * (2 + 1)) * (2 + 1))) div 2) + 1) * (x + 1)) div 2)
A215543: 0 5 48 154 350 663 1120 1748 2574 3625 4928 6510 8398 10619 13200 16168
((((loop(\(x,i).(((((x + 2) * 2) * 2) div (i + 1)) + x),x,(2 + 1)) * 2) - 1) * (x + 1)) * 2)
A086115: 10 100 390 1080 2470 4980 9170 15760 25650 39940 59950 87240 123630 171220 232410 309920
(x div ((((loop(\(x,i).((x - (((x div (2 + 2)) + 2) + 2)) * 2),x,1) * 2) + 1) mod (x + 1)) + 2))
A126306: 0 0 0 1 0 1 1 1 2 0 1 1 1 2 1 2
((loop(\(x,i).(((((x * x) + 2) * x) div (2 + 1)) + x),1,(((x + 2) * x) + 1)) * (x + 1)) div 2)
A331353: 1 28 387 2784 13125 46836 137543 349952 797769 1667500 3248971 5973408 10459917 17571204 28479375 44742656
(compr(\x.(((0 - (x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1))) mod (x + 1)) div 2),(x + 1)) * 2)
A101814: 2 4 6 8 10 12 18 20 24 30 36 40 42 48 50 54
(((((x - ((x + 1) mod (if x <= 0 then 1 else ((((x mod 2) * 2) + 1) * 2)))) div 2) + 2) * (x + 1)) div 2)
A212189: 1 1 3 2 7 12 14 16
((((loop(\(x,i).(((x div (((x div 2) + 2) + 2)) + x) + 2),(x - 1),2) + 2) + 2) * (x + 1)) div 2)
A066140: 3 6 12 20 30 45 63 84
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((x mod 2) + 2)) * (x + 1)) div 2)
A083174: 2 9 15 42 55 117 119 228 207 435 341 666 533 903 705 1272
(((((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * ((2 + 2) + 1)) - (x mod 2)) + 1) * ((x + 1) div 2))
A256749: 0 60 61 120 122 180 183 240 244 300 305 360 366 420 427 480
((if x <= 0 then 1 else ((x - ((((((x div 2) + x) * x) + 2) div (x + 2)) div 2)) * 2)) + ((x + 1) div 2))
A110261: 1 3 3 6 6 9 9 10 12 13 13 16 16 17 17 20
((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 1 else 2))
A326196-A222084-A073093: 1 2 2 3 2 3 2 4 3 3 2 4 2 3 3 5
(((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + (if x <= 0 then 1 else 2))
A108502: 1 2 2 2 2 3 2 3 2 3 2 5 2 3 3 4
((loop(\(x,i).(((((x + 2) * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) + x) + 2),x,0) div 2) div 2)
A003070: 0 0 1 3 5 7 10 13 16 19 22 26 29 33 37 41
((((x * x) - (if x <= 0 then 1 else ((((1 - (x * x)) mod ((2 + 2) * 2)) * (2 + 1)) - 1))) div 2) div 2)
A214297: ~1 0 ~3 2 3 6 5 12 15 20 21 30 35 42 45 56
(2 - (if x <= 0 then 1 else (((((x mod ((x mod (2 + 1)) + 2)) + 2) mod ((x div (2 + 1)) + 1)) mod 2) * 2)))
A054978: 1 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0
((if (x - 1) <= 0 then 1 else ((((((x mod ((x mod (2 + 2)) + 2)) + 1) * 2) div (x + 1)) + 1) * 2)) div 2)
A244328: 0 0 3 3 1 2 1 1 1 1 1 1 1 1 1 1
((if (x mod 2) <= 0 then 1 else (((x mod (((x mod (((x mod (2 + 2)) + 1) * 2)) + 1) * 2)) + 1) * 2)) * 2)
A074723: 2 8 2 16 2 8 2 32 2 8 2 16 2 8 2 64
(((((if ((x + 2) mod (2 + 2)) <= 0 then 2 else 1) + ((x * 2) * 2)) * (((2 + 1) * 2) + 1)) div 2) + 2)
A232057: 5 19 37 47 61 75
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((((2 + 1) * 2) + 1) * 2) * 2))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242126: 2 3 5 7 11 13 17 19 23 1 3 9 13 15 19 25
(((2 + 1) - (((loop(\(x,i).(((x * 2) - (((x div 2) * x) * 2)) * 2),x,1) div 2) + 1) * 2)) * 2)
A228931: 2 ~6 34 1154 1331714 1773462177794 4611686018427387903 4611686018427387903
((x + 1) mod ((((x div ((loop(\(x,i).((i + 2) * x),(2 + 2),2) mod (x + 1)) + 2)) + 1) * 2) * 2))
A097751: 1 2 3 4 5 6 3 8 9 10 3 12 5 6 15 16
(((((((x div ((loop(\(x,i).((i + x) + x),x,0) mod (x + 1)) + 1)) + 2) div 2) div 2) + 1) * 2) + 2)
A139324: 4 4 4 4 6 4 6 4 4 6 6 6 8 6 4 4
loop(\(x,i).((x div 2) + 1),(x div 2),((((x mod (((x mod ((x div 2) + 2)) div 2) + 2)) + 1) mod 2) * 2))
A039701: 2 0 2 1 2 1 2 1 2 2 1 1 2 1 2 2
(((((x div ((loop(\(x,i).((x + 1) * 2),x,1) mod (x + 1)) + 2)) + 1) * ((2 + 2) + 1)) div 2) div 2)
A007735: 1 1 1 1 2 1 3 1 3 2 5 1 6 3 2 1
((0 - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod ((((2 + 2) + 1) * 2) * 2))
A074972: 18 17 15 13 9 7 3 1 17 11 9 3 19 17 13 7
((((((loop(\(x,i).(x * 2),x,((((x + 2) + 2) + 2) + 1)) div 2) * (x + 2)) div 2) + 1) div 2) div 2)
A058396: 1 3 9 25 66 168 416 1008 2400 5632 13056 29952 68096 153600 344064 765952
((((((x + 1) div (((if ((x div 2) - 2) <= 0 then 0 else 2) * (2 + 1)) + 1)) + 1) * (2 + 1)) div 2) - 2)
A255873: 1 2 4 5 7 8 1 1 1 1 1 1 1 2 2 2
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((x - (x div ((2 + 2) + 1))) * (2 + 1)) div 2) div 2))
A315477: 1 6 11 16 21 27 33 38 43 48 54 60 65 70 75 81
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x - (x div ((2 + 2) + 1))) * (2 + 1)) div 2) div 2))
A314685: 1 5 9 13 17 22 27 31 35 39 44 49 53 57 61 66
(((((((((x + 2) + 2) + 2) * ((if x <= 0 then 1 else x) + 2)) * (x + 1)) div 2) div (2 + 1)) + 2) + 2)
A184063: 7 11 20 34 54 81 116 160 214 279 356 446 550 669 804 956
((((((((if ((x div 2) - 2) <= 0 then 1 else 2) * (2 + 1)) + x) * (x + 1)) div 2) div (2 + 1)) + 2) * 2)
A046458: 4 6 8 12 14 20 32 38
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else ((((x div 2) + 1) div 2) * 2))
A283796: 1 1 1 1 2 1 1 4 4 1 1 6 6 6 1 1
(((((if (x mod (2 + 1)) <= 0 then ((((2 + 1) * 2) + 1) * 2) else 1) * (2 + 1)) mod (x + 1)) + 2) div 2)
A032539: 1 1 1 2 2 2 1 2 2 2 2 2 2 2 2 6
((x - (((x - (if x <= 0 then 1 else ((x - (1 div ((x * x) - (2 + 1)))) * 2))) * (x + 1)) div 2)) + 2)
A162523: 3 6 4 11 16 22
(if (x mod (2 + 2)) <= 0 then 1 else ((((2 - ((x + 2) mod (1 - ((2 + 2) * 2)))) mod (x + 1)) div 2) div 2))
A165125: 1 0 0 0 1 0 0 1 1 1 1 0 1 2 1 1
(2 - ((2 - x) div ((x div ((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 1 else 2) * 2)) + 2)))
A097747: 1 2 2 3 3 3 3 4 3 4 4 5 4 5 5 4
(if (x mod 2) <= 0 then 1 else (((x div ((x div (((x div 2) mod ((x mod (2 + 2)) + 1)) + 1)) + 2)) + 2) + 2))
A195986: 1 4 1 5 1 4 1 6 1 4 1 5 1 4 1 7
(((((if ((x - 1) mod ((2 + 2) * 2)) <= 0 then x else 1) + (x div (((2 + 2) * 2) + 1))) div 2) * 2) * 2)
A018816: 0 0 0 0 0 0 0 0 0 20 4 4 4 4 4 4
((((((loop(\(x,i).((((2 + 2) * 2) + x) * 2),(x + 1),1) - 2) - 2) * (2 + 1)) - 2) * 2) * 2)
A278122: 160 568 1384 3016 6280 12808 25864 51976 104200 208648 417544 835336 1670920 3342088 6684424 13369096
(((if x <= 0 then 1 else (((x - ((x div 2) - ((x * 2) * (2 + 1)))) - (x div (2 + 1))) * 2)) + 2) + 2)
A063141: 5 18 30 42 54 68 78 92 104 116 128 142 152 166 178 190
(((((loop(\(x,i).(x - ((((x + 1) div 2) div (2 + 1)) - 1)),2,x) + x) * (2 + 1)) div 2) * 2) - 2)
A277570: 4 10 16 22 24 28 34 40 46 52 58 60 64 70 76 82
(((if x <= 0 then 1 else ((((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * x) div 2) + 1) + 2)) + 2) div 2)
A299287: 1 10 33 72 126 196 281 382 498 630 777 940 1118 1312 1521 1746
(((((((loop(\(x,i).((x * 2) - (i mod 2)),(x - 1),1) div 2) * 2) - 1) * (x + 1)) div 2) div 2) + 2)
A089892: 1 1 1 3 3 9 17 44
((if x <= 0 then 2 else (((((((x * 2) mod ((x div (2 + 1)) + 2)) mod 2) + 1) * (x + 1)) div 2) div 2)) div 2)
A073700: 1 0 0 0 0 1 0 1 1 2 1 1 1 1 1 2
((((((((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) + (x mod 2)) * (2 + 1)) mod (x + 1)) + 2) div 2) div 2)
A340996-A072530: 0 0 0 0 1 0 1 2 1 1 1 2 2 2 1 3
((((x + 1) mod ((((x div 2) + 1) div ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) + 2)) + 2) div 2)
A336005: 1 1 1 1 2 1 2 1 1 2 2 2 2 3 2 1
((2 - (if x <= 0 then 1 else ((x mod 2) - ((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2)))) * 2)
A054844: 2 2 4 2 4 4 4 2 6 4 4 4 4 4 8 2
((if x <= 0 then 1 else ((((((x mod ((2 + 2) + 1)) + 1) * (x div ((2 + 2) + 1))) div 2) div 2) + 2)) + 2)
A288177: 3 4 4 4 4 4 4 4 5 5 4 5 5 6 6 4
(((loop(\(x,i).((x - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) * 2),(x + 1),2) div 2) + 2) + 2)
A048585: 6 7 9 12 16 22 31 44 63 91 132 192 280 409 598 875
(((((if x <= 0 then 1 else ((x - ((((x * x) div 2) + 1) div ((x + 2) + 1))) + 2)) + 2) + 2) * 2) + 2)
A189685: 12 16 18 20 20 22 22 24 24 26 28 28 30 30 32 32
((if x <= 0 then 0 else 1) div (1 - ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2) div 2) * 2)))
A279907: 0 0 1 0 ~1 1 0 1 ~1 1 0 ~1 ~1 ~1 1 0
(((if x <= 0 then 1 else ((x - (((((1 - (x div 2)) div (2 + 1)) * (x div 2)) div 2) div 2)) + 2)) + 2) * 2)
A100367-A098902: 6 10 12 14 18 20 22 24 26 28 34 36 38 40 44 46
(((((loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x) * (2 + 2)) * 2) * 2) * 2)
A044219: 32 96 160 224 256 288 352 416 480 544 608 672 736 768 800 864
((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * ((2 + 2) + 1)) div 2) + ((x div (2 + 2)) mod 2)) div 2)
A187897: 1 2 3 5 6 8 10 11 12 13 15 16 18 19 20 21
(((((loop(\(x,i).(x * x),1,(((x div (2 + 2)) + x) * (2 + 1))) - 1) + (x * 2)) div 2) + 2) div 2)
A171686: 0 3 10 22 59 84
((loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) * 2) div (i + 1)) + (x * 2)),(x * 2),2) * 2) * 2)
A054326: 8 480 12672 219648 2928640 32587776 317521920 2794192896 22682271744 172438323200 1241555927040 8538764083200 56469693136896 361019918516224 2240813287342080 13550896696786944
(((loop(\(x,i).(((x div (((2 + 1) * 2) + 1)) + ((x + 1) div (2 + 1))) + x),x,2) div 2) div 2) div 2)
A111388: 0 0 0 0 0 1 1 2 3 5 8 12 17 26 38 56
((if x <= 0 then 1 else ((((((2 + 2) * (2 + 1)) - 1) * x) - (x div (2 + 1))) * 2)) + ((2 + 2) * 2))
A063161: 9 30 52 72 94 116 136 158 180 200 222 244 264 286 308 328
((2 - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + (((((2 + 1) * x) + 2) * 2) * 2))
A245071: 10 21 31 41 49 59 67 77 85 91 101 107 115 125 133 139
(((((if x <= 0 then 1 else ((((x div 2) + 1) div (2 + 1)) + (((x * 2) + 1) * 2))) + x) + 2) + 2) + 2)
A212454: 7 13 18 23 29 34 39 44 49 54 60 65 70 75 80 85
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + ((x * x) div (((x + 2) + 2) * 2)))
A004683: 2 3 5 7 12 14 18 21 25 32 34 41 45 47 52 58
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (2 + 1)) - (x div 2)) div 2) div 2)
A293262: 1 2 3 5 7 9 12 13 16 20 22 26 29 30 33 38
((if x <= 0 then 2 else ((((x div ((x mod ((((x mod 2) * 2) + 1) * 2)) + 2)) + 1) + (x mod 2)) div 2)) div 2)
A029414: 1 0 0 0 0 0 1 1 1 0 1 0 1 1 2 1
((((if ((((x + 2) * x) div 2) mod (2 + 1)) <= 0 then 1 else 2) * 2) mod ((x div (2 + 1)) + 1)) mod (2 + 2))
A054009: 0 0 0 0 0 0 2 1 1 0 2 0 2 0 0 0
(((((((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) mod (2 + 2))
A140086: 0 1 1 2 1 2 2 3 1 0 2 1 2 1 3 2
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((((x - 1) div 2) mod 2) + x)) div (2 + 2))
A097428: 0 0 1 2 3 4 5 6 7 9 9 11 13 13 14 16
((if x <= 0 then 1 else (compr(\x.((((((x div (2 + 1)) * (x div 2)) div 2) * 2) mod (2 + 1)) - 1),x) + 2)) + 2)
A154663: 3 5 6 7 10 11
A067351: 3 5 6 7 10 11 13 16 17 18 19 20 21 22 23 24
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((((x + 2) + 2) + 1) * x) + 2)) div 2)
A132820: 1 4 16 65 266 1092 4488 18447 75790 311168 1276496 5231954 21425236 87662200 358374960 1463921595
(if x <= 0 then 1 else ((((((2 - ((1 - x) div ((x div (2 + 2)) + 2))) * (2 + 1)) div 2) + x) div 2) + 2))
A061508: 1 4 5 5 6 7 8 8 9 9 10 11 11 12 12 13
((((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 2 else 0) * (x + 1)) * (2 + 1)) div ((x + 2) + 2))
A104117: 1 2 0 3 0 0 0 4 0 0 0 0 0 0 0 5
(((loop(\(x,i).(((i + 2) + 2) * x),x,(x + 2)) * ((x + 2) + 1)) * (x + 1)) * ((x + 2) + 2))
A001806: 24 600 10800 176400 2822400 45722880 762048000 13172544000 237105792000 4452319872000 87265469491200 1784975512320000 38079477596160000 846536078868480000 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),2) * (x + 1)) div ((x + 2) + 2))
A002057: 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) * (((x - 1) * x) div ((x + 2) * 2)))
A270819: 0 0 0 0 10 12 16 36 44 84 90 144 160 210 230 312
(if x <= 0 then 1 else ((((x + 2) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)) + (x * 2)) * 2))
A312466: 1 4 8 14 18 22 26 30 34 38 42 46 52 58 62 66
(if x <= 0 then 1 else ((((x mod (((x - ((1 - x) div (2 + 1))) mod (2 + 1)) + 2)) div 2) + (x * 2)) * 2))
A311337: 1 4 8 12 16 22 26 28 32 36 40 44 48 52 58 62
(if x <= 0 then 1 else (((x + 2) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)) + ((x * 2) * 2)))
A058759: 1 4 8 13
A311798: 1 4 8 13 17 21 25 29 33 37 41 45 50 55 59 63
(if x <= 0 then 1 else (((((x - (((1 - x) div (2 + 1)) * 2)) * 2) + 1) div (2 + 1)) + ((x * 2) * 2)))
A137002: 1 5 11 15
A314034: 1 5 11 15 20 26 31 35 41 46 51 57 61 66 72 77
((if x <= 0 then 1 else (((x - (x div (((2 + 2) * (2 + 1)) + 1))) * 2) div (2 + 1))) + ((x * 2) * 2))
A313054: 1 4 9 14 18 23 28 32 37 42 46 51 56 60 64 69
((if x <= 0 then 1 else (((x - ((x * 2) div (1 - ((2 + 2) * 2)))) * 2) div (2 + 1))) + ((x * 2) * 2))
A313613: 1 5 10 14 20 24 29 34 39 44 48 54 58 63 68 73
(if x <= 0 then 1 else ((((((((x div 2) mod (2 + 2)) + x) div 2) + x) * 2) div (2 + 1)) + ((x * 2) * 2)))
A310458: 1 4 10 15 20 25 30 36 40 44 50 55 60 65 70 76
((if x <= 0 then 1 else ((((x + 2) div (2 - (((x div 2) div (0 - 2)) div 2))) + x) - 1)) + ((x * 2) * 2))
A313782: 1 5 10 15 21 26 31 37 42 47 52 57 62 67 73 78
((((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313116: 1 4 9 14 19 24 29 34 39 44 48 52 57 62 67 72
(((((x - ((x div 2) div ((2 + 2) + 1))) * 2) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314220: 1 5 11 17 22 28 34 39 45 51 56 61 67 73 78 84
((((x - (x mod (((x div (2 + 1)) + 2) + 2))) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313752: 1 5 10 15 20 26 32 37 42 47 52 57 62 67 72 78
((((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314222: 1 5 11 17 22 28 34 40 46 51 57 63 68 73 79 85
((((((((x div 2) div (2 + 1)) mod 2) - x) * 2) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A058759: 1 4 8 13
A311861: 1 4 8 13 17 21 26 31 35 39 44 48 52 56 60 65
(((((((x div (2 + 1)) + x) mod (2 + 1)) + x) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314141: 1 5 11 16 22 26 32 37 43 48 53 59 64 70 74 80
(((if x <= 0 then 1 else ((((2 + 2) + 1) * (x + 1)) mod (((2 + 2) * 2) + 1))) + x) + ((x * 2) * 2))
A101239: 1 6 16 17 27 28 38 39 40 50 51 61 62 72 73 83
(if x <= 0 then 1 else (((((((x div 2) mod ((2 + 2) + 1)) - x) div ((2 + 2) + 1)) + x) + (x * 2)) * 2))
A310532: 1 4 10 16 22 28 34 40 46 52 56 60 66 72 78 84
(loop(\(x,i).(x * 2),((((((x - 2) * x) * (x - 1)) div 2) * (x - 1)) div 2),1) + ((x div 2) mod 2))
A049384: 1 1 2 9 262144
((((((((loop(\(x,i).(x * 2),x,2) + 1) div (2 + 1)) * (x + 2)) + 1) * 2) - 1) + (x mod 2)) - 2)
A341549: 3 6 23 50 131 294 687 1530 3419 7502 16391 35490 76467 163830 349535 742730
(((((x - 1) mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) + x) div 2)
A202479: 1 1 2 2 4 3 6 4 6 6 10 6 12 9 9 8
(((x div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + x) + 2)
A070229: 2 4 6 6 10 9 14 10 12 15 22 15 26 21 20 18
((((((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + 2) * (x + 1)) div (((2 + 1) * 2) + 1)) + x) + 2)
A026428: 2 3 5 6 8 9 11 12 13 16 18 19 21 23 24 26
loop(\(x,i).(((((((1 - (x div (2 + 2))) mod (2 + 1)) + x) - 2) mod ((x * 2) + 1)) * 2) + 1),x,2)
A046689: 2 3 5 7 11 23
A165802: 2 3 5 7 11 23 47
(compr(\x.(2 - (x mod (((loop(\(x,i).((x + 1) * x),2,((2 + 2) * 2)) mod (x + 1)) * 2) + 1))),x) * 2)
A270660: 12 18 20 24 30 32 36 38 40 42 44 48 50 52 54 56
(compr(\x.(x mod (((((x * 2) mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) * 2) + 1)),x) + 2)
A153083: 2 5 7 8 11 12 14 17 19 20 22 23 26 27 29 32
(((2 - (((x * x) div 2) mod (((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1) * (2 + 1)))) + x) + 2)
A303275: 4 5 4 6 0 9
((((((((if (x - (2 + 2)) <= 0 then 1 else 2) * (x + 1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + x) + 2)
A248792: 2 3 5 6 7 10 11 13 14 15 17 19 20 21 23 24
(if x <= 0 then 1 else ((((((x * 2) - ((x * 2) div (((2 + 1) * 2) + 1))) * 2) div (2 + 1)) + x) * 2))
A312289: 1 4 8 14 16 22 26 30 34 38 44 46 52 56 60 64
loop(\(x,i).((((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) + 1)),x,2)
A267981: 2 6 40 350 3528 38808 453024 5521230 69526600 898283672 11848435872 158966514616 2163449607200 29802622140000 414852500188800 5827381213589550
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1)) + (((((x + 2) * x) - 1) * x) div 2))
A252870: 0 1 8 26 61 120 211 343 526 771 1090 1496 2003 2626 3381 4285
(2 - ((1 - ((((x * 2) div (((x div (2 + 2)) + 2) + 2)) mod 2) * 2)) * ((if x <= 0 then 1 else x) mod 2)))
A026490: 1 1 2 3 2 1 2 1 2 3 2 3 2 3 2 1
(((if x <= 0 then 1 else (((((((x div 2) + x) * ((x * 2) + 1)) * (x - 1)) div 2) + 1) * 2)) + x) * 2)
A120824: 2 6 36 122 336
((loop(\(x,i).((((x + 2) * x) + 1) * ((2 + 2) + 1)),(x - 1),(((2 + 2) + 1) * 2)) + x) + 2)
A099415: 12 13 609
(if x <= 0 then 1 else (((((((x mod (x - ((x mod (2 + 2)) - 1))) mod 2) + x) * (2 + 1)) div 2) + x) * 2))
A310416: 1 4 10 14 20 24 32 34 40 44 52 54 60 64 72 74
((((((((if (x - ((2 + 1) * 2)) <= 0 then 0 else 2) + 2) * 2) + 1) mod ((x div 2) + 1)) + 2) + x) div 2)
A087875: 1 1 2 3 4 4 4 5 7 7 7 8 8 8 8 9
(if x <= 0 then 1 else ((((x * 2) * 2) - ((x div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + x)) * 2))
A315733: 1 6 12 18 22 28 34 40 44 50 56 62 68 74 80 84
(((((x - ((loop(\(x,i).(x + 2),(x - ((2 + 2) * 2)),x) div (2 + 1)) * 2)) div 2) div 2) + x) + 2)
A121603: 2 3 4 5 6 7 8 9 11
A123241: 2 3 4 5 6 7 8 9 11 11 12 13 14 14 15 16
(if x <= 0 then 1 else (((((((x div 2) - 1) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + x) div 2) + x) + 2))
A288934: 1 3 5 6 8 10 11 12 14 16 17 19 21 22 23 24
((((loop(\(x,i).((((((i + 2) + 2) * x) div ((x + 2) + 1)) + x) + 1),x,1) + x) div 2) + x) div 2)
A195311: 0 1 3 5 7 10 13 17 21 25 29 33 38 43 48 54
(((((((((loop(\(x,i).((x div 2) * x),(x - 2),x) div 2) + x) div 2) + x) div 2) + x) div 2) + x) + 2)
A103850: 2 3 5 7 11 89
(compr(\x.(loop(\(x,i).((x * x) * (x + 1)),2,((((2 + 2) * 2) * 2) * (2 + 1))) mod (x + 2)),x) + 2)
A269804: 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28
(((((x + 2) * x) + 1) * (x + 1)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A167622: 1 2 2 1 4 8 3 18 16 14 29 26 24 35 38 15
(((if (x - 1) <= 0 then (((x * 2) * 2) * 2) else ((((2 + 2) * 2) * (2 + 1)) - 1)) + 1) + (x + 2))
A260815: 3 12 28 29 30 31 32 33 34 35 36 37 38 39 40 41
(((((x - 1) mod (if (((x + 1) * x) mod ((2 + 2) * 2)) <= 0 then (2 + 2) else 1)) * 2) + 1) mod (x + 2))
A329346: 1 1 1 1 1 1 1 5 7 1 1 1 1 1 1 5
((loop(\(x,i).(((((2 + 2) + 1) * x) div (i + 1)) + x),x,((2 + 1) * 2)) div (2 + 1)) div (x + 2))
A222011: 1 2 4 8
A084626: 1 2 4 8 14 22 33 47 66 91 121 158 204 258 323 399
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) * (((x + 1) * x) + 1)) div (x + 2))
A034267: 0 1 7 39 196 930 4257 19019 83512 361998 1553630 6615686 27992472 117823940 493768485 2061580275
((loop(\(x,i).(((x * x) + 2) * x),1,(((x + 2) * (x + 1)) div 2)) - 1) + ((x * x) * (x + 2)))
A193576: 2 35 243 1064 3500 9477 22295 47168 91854 167375 288827 476280 755768 1160369 1731375 2519552
((if x <= 0 then 1 else (x mod (((1 - (((x + 2) * x) mod ((2 + 2) * 2))) mod (x + 1)) + 1))) + (x * 2))
A241071: 1 2 4 6 8 10 12
A255385: 1 2 4 6 8 10 12 15 16 18 20 26 24 26 28 34
(((if ((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1)) <= 0 then 2 else 1) + x) + (x * 2))
A287420: 2 4 7 10 13 17 19 23 25 28 31 35 37 41 43 47
(((((if x <= 0 then 1 else (x * 2)) - (((x div 2) + x) div (2 + 2))) * ((2 + 2) + 1)) + x) + (x * 2))
A188471: 5 13 26 34 47 60 68 81 89 102 115 123 136 149 157 170
(((((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + 1),x,1) div 2) * 2) div (2 + 1)) + 1) - (x mod 2))
A069910: 1 0 1 1 2 2 3 3 5 5 7 8 11 12 16 18
(((loop(\(x,i).(x * 2),(((2 + 1) * x) div ((x mod (2 + 2)) + 1)),1) mod (x + 1)) - 1) + (x mod 2))
A326067: ~1 0 0 0 0 2 0 0 0 2 0 4 0 2 3 0
((((((((if (x mod (2 + 2)) <= 0 then x else (x div 2)) + 2) div (2 + 1)) + 1) div 2) * 2) + 1) + (x mod 2))
A099034: 1 2 3 4 3 4 3 4 5 4 3 4 5 4 5 6
(((((loop(\(x,i).((((x - 1) div 2) * x) div 2),2,x) div 2) div (2 + 1)) + 1) div (2 + 1)) * (x mod 2))
A164735: 0 0 0 0 0 0 0 1 0 4 0 10 0 20 0 36
((if x <= 0 then 1 else ((((x div ((((x - 1) mod (2 + 2)) + 2) * (2 + 1))) mod 2) + 1) * 2)) - (x mod 2))
A331541: 1 1 2 1 2 1 2 1 2 3 4 1 2 1 4 3
((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) - (x mod 2))
A248104: 4 11 16 19 28 35 44 47 52 59 64 67 76 79 84 91
((if x <= 0 then 1 else (((x - (((x * x) mod (x - ((2 - x) div 2))) div (x + 1))) mod 2) + x)) + (x mod 2))
A135762: 1 3 2 5 4 7 6 8 9 11 10 13 12 14 15 17
(((((((loop(\(x,i).(((x - (x div (2 + 2))) div 2) + x),2,x) + x) div 2) + x) + 2) + x) + x) + 2)
A207673: 4 8 13 17 21 26 30 35 39 43 48 53 57 62 66 71
compr(\x.(((loop(\(x,i).((x * x) * x),2,x) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1)) - 1),x)
A010385: 0 1 2 3 4 6 8 9 12 13 16 18
A010407: 0 1 2 3 4 6 8 9 12 13 16 18 23 24 25 26
(((loop(\(x,i).((2 + 2) * (x + 1)),(x + 1),((2 + 2) * (x + 1))) div ((2 + 2) + 1)) + 1) + x)
A180635: 5 31 173 891 4373
(((((x - ((x mod (1 - ((if (x mod (2 + 2)) <= 0 then 0 else 2) * 2))) - 1)) * 2) div (2 + 1)) + 1) + x)
A328983: 1 4 5 6 8 10 11 14 15 16 19 20 21 24 25 26
compr(\x.(2 - ((loop(\(x,i).((x * x) * x),2,x) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1))),x)
A028736: 5 7 10 11 14 15 17 19 20 21 22
A278579-A028759: 5 7 10 11 14 15 17 19 20 21 22 28 30 33 34 37
((((loop(\(x,i).((x - 1) * x),1,(2 - ((2 - x) div ((x div 2) + 2)))) + x) div (2 + 1)) + 1) + x)
A120515: 1 3 4 7 8 9 11 12 13 17 18 19 21 22 23 25
((if x <= 0 then 1 else (((x - (((x mod ((((x + 1) div 2) div (2 + 1)) + 2)) div 2) - 1)) * 2) + 1)) + x)
A189728: 1 6 9 12 15 16 21 24 25 30 33 34 39 42 43 46
((((((if (x - ((2 + 1) * 2)) <= 0 then 0 else 2) + 1) + (x div (((2 + 2) * 2) + 1))) * 2) + 1) + x)
A154660: 3 4 5 6 7 8
A096828: 3 4 5 6 7 8 9 14 15 18 19 20 21 22 23 24
((((((if (x mod 2) <= 0 then ((2 - x) mod ((x div (2 + 2)) + 1)) else 0) + 1) mod (2 + 1)) * 2) - 1) + x)
A332808-A108548: 1 2 3 4 5 6 7 8 9 10 13 12 11 14 15 16
(((((loop(\(x,i).(x * x),2,((x mod 2) * 2)) mod (x + 1)) * x) div 2) div (((2 + 1) * 2) + 1)) + x)
A233569: 0 1 2 3 4 6 6 7 8 12 10 14 12 14 14 15
compr(\x.(1 - (x mod (((if (x mod ((((x mod 2) * 2) * ((2 + 2) + 1)) + 1)) <= 0 then 0 else 2) * 2) + 1))),x)
A236208: 1 3 7 9 13 17 19 21 23 27 29 31 37 39 41 43
compr(\x.((x + 1) mod ((((if (x mod ((2 + 2) + 1)) <= 0 then (((2 + 2) + 1) * 2) else 1) * 2) * 2) + 1)),x)
A277601: 4 9 14 19 24 29 34 39 40 44 49 54 59 64 69 74
compr(\x.(1 - (x mod (((((x * 2) mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) * 2) + 1))),x)
A080308: 1 2 4 7 8 11 13 14 16 19 22 23 26 28 29 31
((1 mod ((((1 - (x - (((((x mod 2) + 2) + 2) + 2) * 2))) * (if x <= 0 then 1 else 2)) * 2) - 1)) + x)
A318891-A318890: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 10 15
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x))
A017455: 78125 268435456 10460353203 114415582592 678223072849 2799360000000 9095120158391 24928547056768 60170087060757 131593177923584 266001988046875 504189521813376 905824306333433 1555363874947072 2569093262823519 4103386730000000
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x))
A017515: 10000000 1801088541 34359738368 271818611107 1338925209984 4902227890625 14645194571776 37725479487783 86812553324672 182803912081669 358318080000000 662062621900811 1164175380274048
(((loop(\(x,i).(((((x * x) div (2 + 1)) + x) div 2) + 2),2,(x - 1)) div 2) div ((2 + 2) + 1)) * x)
A308822: 0 0 0 0 0 5 6 14 24 45 70 110 156 234 322 450
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + (((x * x) * x) * (x * x))) + (((2 + 2) + 1) * x))
A220511: 1 11 67 383 1669 6275 23431 94967 423433 2012219 9865675 48989231 244389517 1221074483 6104053519 30518337575
((((((((((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1)) * (2 + 1)) + 1) + x) div 2) * 2) + 1) - x)
A154127: 1 2 5 8 7 4 1 2 5 8 7 4 1 2 5 8
((((if (x div (2 + 2)) <= 0 then ((x + 1) mod ((2 - (x mod (2 + 2))) + 2)) else (x div 2)) * 2) - 1) + x)
A067016: 1 4 3 2 7 8 11 12 15 16 19 20 23 24 27 28
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) * 2) + 1) * (2 + 1)) - x))
A017431: 2187 105413504 6103515625 78364164096 506623120463 2207984167552 7446353252589 20971520000000 51676101935731 114868566764928 235260548044817 450766669594624 817215093984375 1414067010444416
((((((((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 1) + x) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + x)
A289166: 1 2 4 5 6 8 9 11 12 13 16 17 18 19 21 23
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) + 1) * 2) * (2 + 1)) - x))
A017467: 279936 410338673 13492928512 137231006679 781250000000 3142742836021 10030613004288 27136050989627 64847759419264 140710042265625 282621973446656 532875860165503 953133216331392 1630436461403549 2684354560000000 4275360817613091
((((((loop(\(x,i).(x - (((x mod 2) - x) div (2 + 1))),x,2) * 2) - 1) + x) + 2) div (2 + 1)) - x)
A219282: 1 1 1 2 3 4 6 9 13 18 25 35 49 68 93 126
(((if (x mod (((2 - (((x div (2 + 1)) mod 2) - 1)) * 2) + 1)) <= 0 then 2 else 0) + 1) + ((2 + 1) * x))
A287410: 3 4 7 10 13 18 19 24 25 28 33 34 37 40 45 48
((((loop(\(x,i).((((i * i) + x) div ((x div 2) + 1)) + x),x,1) div (2 + 1)) + x) + (2 + 1)) + x)
A336803: 3 6 9 12 15 19 22 26 30 34 38 43 47 51 56 60
(((((loop(\(x,i).(((x + 2) * (x + 1)) div 2),x,(2 + 2)) - 1) div (2 + 1)) + (x mod 2)) + 1) - x)
A307147: 2 5 44 3149
((compr(\x.((loop(\(x,i).(x * 2),x,1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) - 1),x) + 1) - x)
A195850: 1 1 1 1 1 1 1 2 3 4 4 4 4 4 5 7
(loop(\(x,i).((((((((i * 2) + 1) * x) * 2) div (i + 2)) div (i + 1)) + x) + (2 + 1)),x,1) - x)
A034223: 1 4 10 20 35 57 87 127 179 245 327 428 550 696 869
((loop(\(x,i).(x - (((((x - ((x mod (2 + 1)) div 2)) div 2) + (x mod 2)) div 2) - 1)),2,x) + 1) + x)
A229089: 3 5 6 7 9 11 13 14 17 18 19 20 22 23 25 26
(((((x * 2) * 2) div ((if (x mod (((2 + 1) * 2) + 1)) <= 0 then ((2 + 1) * 2) else 0) + 1)) * 2) - x)
A283444: 0 7 14 21 28 35 42 1 56 63 70 77 84 91 2 105
compr(\x.(((if x <= 0 then 0 else (((((x - 2) * (2 + 1)) mod ((x div 2) + 1)) div (2 + 1)) + 1)) + 1) mod 2),x)
A208982: 1 2 3 4 5 6 9 10 12 15 16 17 18 19 21 22
loop(\(x,i).((x mod ((x mod (((x + 1) div (((x mod ((2 + 2) + 1)) * 2) + 1)) + 2)) + 1)) + 1),2,x)
A214069: 2 1 2 1 2 1 2 1 2 2 6 1 2 1 2 2
compr(\x.(((((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then (2 + 1) else x) mod ((2 + 2) + 1)) div 2) + 1) mod 2),x)
A201363: 2 3 7
A055053: 2 3 7 8 12 13 15 17 18 22 23 27 28 31 32 33
compr(\x.(1 - (x mod ((((if (x mod 2) <= 0 then (x * x) else (x + 1)) + x) mod (((2 + 2) * 2) + 1)) + 2))),x)
A336360: 1 2 3 5 6 7 10 11 12 13 14 15 17 19 20 21
(((((if ((x div (2 + 2)) - 1) <= 0 then x else ((2 + 2) * 2)) + 1) + (x div ((2 + 2) + 1))) div 2) + x)
A138390: 0 2 3 5 6 8 10 11 13 14 15 16 17 18 19 21
((((x div 2) - ((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) * 2) - (x div 2)) div (2 + 1))) + 2) + x)
A285567: 2 3 6 7 9 10 12 13 16 17 19 20 21 22 24 25
((((((loop(\(x,i).((x div 2) - 2),(x - 1),((x + 2) + 2)) div (2 + 1)) * 2) + x) + 1) div 2) + x)
A003860: 1 3 3 4 5
A011977: 1 3 3 4 5 6 7 9 10 12 13 15 16 18 19 21
compr(\x.((loop(\(x,i).(x * 2),((x - (x div ((2 + 2) + 1))) mod ((2 + 2) + 1)),1) mod (x + 1)) div 2),x)
A048302: 0 1 2 3 4 6 12 18 24 25 31 37 43 49 50 56
compr(\x.(loop(\(x,i).(((((((x - 1) mod (2 + 1)) + x) mod ((2 + 2) + 1)) mod 2) + 1) + x),x,1) mod 2),x)
A327138: 2 5 8 11 12 14 15 17 18 20 21 24 27 30 33 34
(x - ((((x - (loop(\(x,i).(((((x div 2) + x) div (2 + 2)) + x) + 1),x,0) - 1)) div 2) div 2) + x))
A232482: 0 0 0 0 0 1 1 2 3 5 7 11 16 23 33 46
((1 - (((((if x <= 0 then 0 else ((((x mod (2 + 1)) div 2) + x) + 1)) + 1) * (2 + 1)) div 2) div 2)) + x)
A029258: 1 0 0 1 1 0 1 2 1 2 2 2 3 3 3 4
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(((((x * 2) * (2 + 1)) + 2) * 2) - x))
A017443: 16384 170859375 8031810176 94931877133 587068342272 2488651484819 8235430000000 22876792454961 55784660123648 122987386542487 250226879128704 476837158203125 860542568759296 1483273860320763
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,((((((2 + 1) * x) + 2) * 2) * 2) - x))
A017491: 2097152 893871739 21870000000 194754273881 1028071702528 3938980639167 12151280273024 32057708828125 75144747810816 160578147647843 318547390056832 594467302491009 1054135040000000 1789940649848551 2928229434235008 4637914326451397
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - ((x * x) div (((x + 2) * 2) + x)))
A004684: 2 3 5 7 10 12 16 18 21 27 29 34 38
(((if x <= 0 then 1 else ((x * 2) * 2)) - ((((0 - ((x div 2) div (2 + 1))) mod (2 + 1)) - x) div 2)) + x)
A315521: 1 6 11 17 22 28 32 38 43 49 54 60 66 71 77 82
((if x <= 0 then 1 else (((((x - (((x div 2) mod 2) - 1)) div 2) + ((x + 1) div (2 + 1))) + x) * 2)) + x)
A313416: 1 5 10 13 18 25 28 31 38 43 46 51 56 61 66 69
(((((loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),2,x) div 2) div (2 + 1)) + x) div 2) + x)
A121925: 0 45 91 136 182 227 273 319 364 410 455 501 547 592 638 683
loop(\(x,i).(((x mod (((((x + 1) div 2) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1)) * 2) + x),2,x)
A340632: 0 1 2 3 4 7 6 7 8 15 14 15 12 15 14 15
((compr(\x.((((x + 1) div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2)) mod 2) - (x mod 2)),x) + 2) - x)
A066997: 2 2 3 4 4 4 5 6 7 8 8 8 8 8 9 10
(loop(\(x,i).(((x + 1) * 2) - (((((x - 2) * 2) div ((x div (2 + 2)) + 2)) mod 2) - 1)),2,x) - x)
A083134: 8 9 14 15 19 24 26
(((if x <= 0 then 1 else (((x * 2) - ((x * 2) div ((((x * 2) * 2) div (x + 2)) + 2))) * 2)) + x) + x)
A315312: 1 6 10 16 20 26 32 38 42 48 52 58 64 68 74 78
(((if x <= 0 then 1 else (((((((2 + 2) + 1) mod ((x div (2 + 2)) + 1)) + x) div 2) + x) * 2)) + x) + x)
A310420: 1 4 10 14 20 26 30 36 42 46 52 56 60 66 70 76
(((loop(\(x,i).((x * x) * x),1,((x div (2 - (x mod 2))) - x)) * x) div 2) + ((x * x) * (x * x)))
A309336: 0 1 15 81 240 625 1215 2401 3840 6561 9375 14641 19440 28561 36015 50625
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - ((((x * x) * x) * (x * x)) * (x * x)))
A024134: 1 10 ~7 ~856 ~1743 82926 1491625 18663628 212261729 2353164722 25927424601 285292183440 3138392544913 34522649395414 379749728169737 4177247998556276
((((if x <= 0 then 2 else (((((x - 1) * x) div (2 + 1)) div (((2 + 1) * 2) + 1)) + 1)) + x) + x) + x)
A135678: 2 4 7 10 13 16 20 24 27 31 35 39 43 47 51 56
((x div ((x mod ((x mod ((x mod ((x div ((x div ((2 + 2) * 2)) + 2)) + 1)) + 1)) + 1)) + 1)) + 1)
A088444: 1 2 3 2 5 2 7 2 3 5 11 3 13 7 3 4
(((x + 1) mod (((x - 1) mod ((x mod ((((x - 2) * (2 + 1)) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A220464: 1 1 1 2 1 1 1 2 1 1 2 1 2 1 1 3
((x div ((x mod ((x mod ((x div (((x div 2) mod ((2 - (x mod 2)) + 1)) + 2)) + 1)) + 1)) + 1)) + 1)
A096776: 1 2 3 2 5 2 7 4 3 2 11 3 13 2 3 4
((x div (2 - ((1 - x) div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1)))) + 1)
A322873: 1 1 1 2 1 2 1 2 2 3 1 3 1 4 3 4
((x div ((x mod (((x mod ((((x * x) div (2 + 2)) mod (x + 1)) + 2)) div (2 + 1)) + 1)) + 1)) + 1)
A135875: 1 2 3 2 5 6 7 8 3 10 11 6 13 14 15 8
((x mod ((x mod ((((((0 - (x mod (2 + 2))) * 2) * (2 + 1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)
A322362-A087258: 1 2 1 4 1 2 1 8 1 2 1 4 1 2 5 16
((x mod ((x mod (((((x mod ((x div (((x div 2) mod 2) + 2)) + 1)) div 2) + 1) * 2) - 1)) + 1)) + 1)
A093803: 1 1 1 1 1 3 1 1 3 5 1 3 1 7 5 1
((x div ((x mod ((x mod (((((0 - x) mod (2 + 2)) + 1) mod ((x div 2) + 1)) + 2)) + 1)) + 1)) + 1)
A086956: 1 1 1 2 5 2 7 2 3 5 11 3 13 7 3 4
((x mod (((((x div (2 - (((x div 2) * x) mod 2))) + 1) * 2) mod (((x + 1) div 2) + 1)) + 1)) + 1)
A059807: 1 1 1 1 1 3 1 2 1 5 1 4 1 7 1 4
((x + 1) div ((x mod (((x mod (((2 + 2) * (2 + 1)) + 1)) mod (((2 + 2) * 2) + 1)) + 1)) + 1))
A235600: 1 1 1 1 1 1 1 1 1 10 11 4 13 14 15 16
((x div ((x mod (((((x + 2) * x) mod (((2 + 2) * (2 + 1)) + 1)) + 1) * (2 + 1))) + 1)) + 1)
A344970: 1 1 1 1 1 1 1 1 1 1 1 4 1 7 5 1
(2 - ((1 - x) div (((x + 2) mod ((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) + 1)) + 1)))
A331299: 1 2 3 3 5 6 7 5 6 10 11 12 13 14 15 7
((x mod (((1 - (((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1))) mod (2 + 1)) + 1)) + 1)
A030338: 1 2 1 2 1 1 1 1 3 1 1 2 1 1 3 2
((x mod (((((x - 1) mod (((x div ((x mod (2 + 2)) + 1)) + 2) + 1)) mod 2) * (2 + 1)) + 1)) + 1)
A001165: 1 1 3 1 1 1 1 1 1 2 3 1 1 2 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div 2) div (2 + 1)) + 1)) + 1)
A027948: 1 1 1 1 2 1 1 3 3 1 1 3 7 4 1 1
(((x + 1) div ((((2 mod ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1) mod ((x div 2) + 1)) + 1)) + 1)
A204905: 2 3 2 3 3 4 4 3 5 6 6 4 7 8 4 5
((x div (((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1)
A109395: 1 2 3 2 5 3 7 2 3 5 11 3 13 7 15 2
(((x - 1) mod (((((((x + 2) + 1) mod (((2 + 1) * 2) + 1)) mod 2) + 1) mod (x + 1)) + 1)) + 1)
A099910: 1 1 2 1 2 2 2 1 2 3 2 1 3 1 2 1
((x mod ((((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * 2) * 2)) mod (x + 1)) + 1)) + 1)
A076775: 1 2 1 4 1 2 1 8 1 10 1 4 1 2 1 16
((((x mod (2 + 1)) - 1) mod (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1)) + 1)
A318498: 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 8
(((x + 1) div (((((((x * 2) + 1) mod ((x div ((x mod 2) + 2)) + 2)) div 2) + 1) * 2) + 1)) + 1)
A046663: 1 1 1 2 2 2 2 2 2 2 4 3 5 3 4 4
(((((((((2 + 1) * x) + 2) * (x + 1)) div 2) * (2 + 1)) + 1) div (((2 + 1) * 2) + 1)) + 1)
A025744: 1 3 6 10 16 23 31 40 51 63 76 91 107 124 142 162
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) + 1) div 2) + 1)) + 1)
A050177-A013580: 1 1 1 1 3 1 1 4 4 1 1 5 9 5 1 1
(((1 div (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))) * ((((x div 2) + 1) div 2) + 1)) + 1)
A130296: 1 2 1 3 1 1 4 1 1 1 5 1 1 1 1 6
((x div (((((x div 2) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)) + 2) * 2) - 1)) + 1)
A056692: 1 1 1 2 1 2 1 3 2 2 1 3 1 2 3 4
((((x * 2) + 1) mod ((((x + 1) div (((x mod ((2 - (x mod 2)) * 2)) + 1) * 2)) div 2) + 1)) + 1)
A267134: 1 1 1 1 2 1 1 2 3 2 1 2 2 2 2 2
((((2 - ((x div 2) mod 2)) * x) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1)
A176346: 1 1 1 1 3 1 1 2 2 1 1 3 5 3 1 1
(((((((((x + 2) * 2) * (2 + 1)) + 2) * 2) * 2) * (x + 1)) * (((2 + 2) * 2) + 1)) - 1)
A179172: 503 1439
(((((((2 + 2) * 2) + x) + 1) * (((2 + 2) * 2) + 1)) + (x div (((2 + 2) * 2) + 1))) + 1)
A282114: 82 91 100 109 118 127 136 145 154 164 173 182 191 200 209 218
(((2 + 2) + 1) div ((2 - (((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1))) + 1))
A318670-A114717: 1 1 1 1 1 2 1 1 1 2 1 5 1 2 2 1
((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) mod (((x div (2 + 2)) * 2) + 1)) + 1)
A136788: 1 1 1 1 2 1 1 2 4 1 1 2 6 7 1 1
((((((((2 + 2) * (x + 1)) * (2 + 1)) - (x mod (2 + 1))) - 1) * 2) div ((2 + 2) + 1)) + 1)
A226724: 5 9 14 19 24 28 34 38 43 48 53 57 63 67 71 77
(((((((((2 + 1) * x) + 2) * 2) * (((2 + 1) * 2) + 1)) + 2) * 2) * ((2 + 2) + 1)) + 1)
A256101: 301 721 1141 1561 1981 2401 2821 3241 3661 4081 4501 4921 5341 5761 6181 6601
(((((((((x div ((2 + 2) + 1)) + x) * (x + 1)) div 2) + 2) div 2) + 2) div ((2 + 2) + 1)) + 1)
A097920-A029042: 1 1 1 2 2 3 4 4 5 6 8 9 10 12 13 16
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((0 - x) mod ((2 + 2) + 1))) + 1)
A320796: 1 1 1 1 2 1 1 4 3 1 1 5 7 3 1 1
((((1 - x) mod ((((2 + 2) * (x - 1)) mod ((x div 2) + 1)) + 1)) * (x div ((2 + 2) + 1))) + 1)
A076037: 1 1 1 1 1 1 1 1 2 2 1 1 3 5 5 1
(((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (x + 1)) div ((x mod (2 + 2)) + 1)) + 1)
A326135: 1 1 1 1 1 4 1 1 1 6 1 4 1 8 6 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x mod ((x mod 2) + 2)) + 1)) + 1)
A343658-A343656-A194005-A077592: 1 1 1 1 2 1 1 3 2 1 1 4 3 3 1 1
(((x - (((1 - x) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)) - 1)) mod (2 + 1)) - 1)
A281772: 0 1 0 1 ~1 0 1 ~1 0 ~1 0 1 0 1 ~1 0
((((x mod (((((((1 - x) * (x div 2)) div 2) mod (x + 2)) div 2) * 2) + 1)) + 1) mod (2 + 1)) - 1)
A072784: 0 0 ~1 0 1 ~1 0 0 1 ~1 0 0 0 1 ~1 0
((((((1 - ((x mod 2) * 2)) * (x + 1)) - (2 + 2)) mod ((x div (2 + 1)) + 1)) mod (2 + 1)) + 1)
A341052: 1 1 1 1 2 1 1 1 3 3 1 1 2 3 2 2
(((((((x + 2) div ((2 + 2) + 1)) + 1) mod ((x div ((2 + 2) + 1)) + 2)) + 1) mod (2 + 1)) - 1)
A016416-A016410-A016388-A016372-A016366-A014024: 1 1 1 0 0 ~1 ~1 ~1 0 0 0 0 0 0 0 1
(((((x mod (((x mod 2) + 1) * 2)) + 1) * ((((x div (2 + 2)) + 1) div 2) + 1)) div (2 + 1)) + 1)
A072347: 1 1 1 2 1 2 1 3 1 2 1 3 2 3 2 5
(x div ((x + 2) div ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) div (2 + 1)) + 1)))
A238010: 0 0 1 0 1 1 0 1 1 1 0 1 3 1 1 0
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)) + 1)
A296180: 1 1 1 1 4 1 1 7 7 1 1 10 13 10 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x * 2) - 1) div (2 + 1))) + 1)
A121522: 1 1 1 1 3 1 1 5 6 1 1 8 15 9 1 1
(((((((x div 2) - ((((x + 1) div 2) div 2) mod 2)) mod (2 + 1)) + 1) mod (x + 1)) mod (2 + 1)) + 1)
A245553: 1 2 3 2 3 3 1 2 3 3 1 3 1 1 2 3
(((((((((x + 2) * (x + 2)) div 2) * (x + 2)) div 2) div (2 + 1)) + (x + 1)) div (2 + 1)) + 1)
A275580: 1 2 3 5 8 12 17 23 31 41 52 65 81 99 119 142
((x + 1) mod ((((((((x mod 2) * 2) + 1) * ((2 + 2) + 1)) * 2) mod (x + 1)) mod (2 + 1)) + 1))
A124060: 0 0 1 1 0 0 0 0 1 0 1 0 1 2 1 1
(((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * ((x div 2) + 1)) + ((x + 1) * (2 + 1))) + 1)
A185657: 41 44 84 87 127 130 170 173 213 216 256 259 299 302 342 345
(((((x mod ((((((2 - x) div (2 + 2)) - x) div 2) mod (2 + 2)) + 1)) + 1) * 2) div (2 + 1)) + 1)
A191770: 1 2 3 1 1 2 1 3 1 1 2 2 1 1 3 1
(((1 - (((((1 - ((x mod 2) * 2)) * (x + 1)) mod ((2 + 2) + 1)) + 1) div 2)) mod (2 + 1)) - 1)
A292301: ~1 1 1 ~1 0 1 ~1 ~1 1 0 ~1 1 1 ~1 0 1
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) mod (2 + 1)) + 1)
A116479: 1 1 1 2 1 2 1 3 2 2 1 3 1 2 2 1
(((((x + 2) mod ((((x + 1) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1)) + 2) mod (2 + 1)) - 1)
A166234: 1 1 1 ~1 1 1 1 ~1 ~1 1 1 ~1 1 1 1 0
((((((((((x * x) div (2 + 1)) - (x mod 2)) + 1) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1)
A029002-A008751: 1 1 2 3 4 5 7 8 11 13 16 19 23 26 31 35
((x + 1) div ((((x - ((((((x div 2) * x) div (2 + 2)) + 1) div 2) - 1)) div 2) * (2 + 1)) + 1))
A017851: 1 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4
(2 div ((((((x * 2) + 1) mod (((x mod (2 + 1)) + 1) * ((2 + 2) + 1))) + 2) div (2 + 1)) + 1))
A179519-A179317-A109502: 1 1 0 1 0 0 1 0 1 0 1 0 2 0 0 1
(((x - ((((x + 1) div (2 + 1)) - ((1 - (x div (2 + 1))) div (2 + 1))) * 2)) mod (2 + 1)) + 1)
A105203: 1 2 1 2 3 2 1 2 1 2 3 2 3 1 3 2
(((((((1 - ((x mod 2) * 2)) * (x + 2)) * (x + 1)) * ((x + 2) + 1)) div 2) div (2 + 1)) - 1)
A216414: 0 ~5 9 ~21 34 ~57 83 ~121 164 ~221 285 ~365 454 ~561 679 ~817
((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) * (2 + 1)) + 1)
A050347: 1 1 1 1 1 4 1 4 1 4 1 10 1 4 4 7
((((((x - ((1 - ((2 + 2) * 2)) * (2 + 1))) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) - 1)
A087863: 6 21 45 79 124 181 251 335 434 549 681 831 1000 1189 1399 1631
(((((((((2 + 2) * 2) + 1) - (((1 - x) * x) div 2)) * x) * (x + 1)) div 2) div (2 + 1)) + 1)
A136395: 1 4 11 25 51 96 169 281 445 676 991 1409 1951 2640 3501 4561
(((((((x mod ((((x div 2) mod 2) + 2) + (x mod (2 + 1)))) div 2) + 1) * 2) * 2) div (2 + 1)) + 1)
A078545: 2 2 3 2 2 2 2 3 2 2 3 2 2 2 5 2
(((((((x div ((2 + 2) + 1)) + x) + ((x + 1) div ((2 + 2) + 1))) * 2) * 2) div (2 + 1)) + 1)
A193622: 1 2 3 5 7 10
A325160: 1 2 3 5 7 10 11 13 14 17 19 21 22 23 26 29
((((((((((x div ((2 + 2) * 2)) + x) + 1) div 2) + (x * 2)) + 1) * 2) * 2) div (2 + 1)) + 1)
A003145: 2 6 9 13 15 19 22 26 30 33 37 39 43 46 50 53
((((((((((x div ((2 + 2) * 2)) + x) + 1) div 2) + (x * 2)) + 1) * 2) * 2) div (2 + 1)) - 1)
A308199: 0 4 7 11 13 17 20 24 28 31 35 37 41 44 48 51
((((((((((x div (2 + 1)) + 1) div (2 + 1)) * (2 + 1)) + x) + 1) * 2) * 2) div (2 + 1)) - 1)
A023713: 0 1 3 4 5 7 12 13 15 16 17 19 20 21 23 28
(((1 - ((((((x div (2 + 1)) * (x - 2)) * (1 - (x div 2))) div 2) div 2) div 2)) div (2 + 1)) + 1)
A008925: 1 1 1 1 1 1 2 2 3 4 5 6 9 10 13 17
(((((((x - (((x mod 2) + x) div ((2 + 2) + 1))) mod 2) + (x * 2)) + 2) * 2) div (2 + 1)) + 1)
A112233: 2 4 5 7 7 9 11 11 13 15 15 17 18 20 21 22
((((((x + 2) * (2 + 1)) - 1) * ((2 + 2) + 1)) * (x + 1)) div (((2 + 2) * (2 + 1)) - 1))
A194140: 2 7 15 25 38 54 73 94 118 145 175 207 242 280 320 363
((((((((((2 + 2) * (x + 1)) + 1) * (x + 2)) * 2) + 1) * (x + 2)) * 2) div (2 + 1)) - 1)
A143938: 27 109 279 569 1011 1637 2479 3569 4939 6621 8647 11049 13859 17109 20831 25057
((((((((((x div ((2 + 2) * (2 + 1))) + x) div 2) + x) + 1) * 2) * 2) + x) div (2 + 1)) + 1)
A316326: 2 4 7 8 11 13 16 18 21 22 25 27 30 33 35 38
(((((((((x mod ((x div (2 + 1)) + 1)) + 1) * (x div 2)) div 2) div 2) * 2) + x) div (2 + 1)) + 1)
A325393-A320388: 1 1 1 2 2 3 3 4 5 5 6 8 7 9 11 10
((compr(\x.(((x - (((x * 2) + 1) mod ((x div (2 + 2)) + 1))) mod 2) - (x mod 2)),x) mod (2 + 1)) + 1)
A099054-A003270: 1 2 3 1 3 2 3 1 2 3 2 1 3 1 2 1
((2 + 1) div ((((((x * x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod ((x + 2) + 1)) + 1))
A346061-A305161-A294250-A293960-A250484-A226873-A183134: 1 1 0 1 1 0 1 1 1 0 1 1 3 1 0 1
(x - (x div (((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) mod ((x div 2) + 1)) + 1)))
A331176: 0 0 0 2 0 3 0 6 6 5 0 9 0 7 0 14
((x + 1) div (((((((((x mod 2) * 2) * 2) * 2) * (2 + 1)) + x) * (2 + 1)) div (x + 1)) + 1))
A029219: 1 0 1 0 1 0 2 0 3 1 3 1 4 1 5 2
(((((((x div (((x + 2) mod ((2 + 2) * 2)) + 1)) mod 2) + 1) - (x mod 2)) + 1) mod (x + 1)) + 1)
A076225: 1 2 3 2 3 2 3 3 3 2 3 3 4 3 3 3
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) * (((((x + 2) * x) + 2) * (x + 1)) - 1))
A292350: 0 9 116 670 2580 7735 19544 43596 88440 166485 295020 497354 804076 1254435 1897840 2795480
((((((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) + 1)) + 1) * x) * (x + 1)) + 1)
A060885: 1 11 2047 88573 1398101 12207031 72559411 329554457 1227133513 3922632451 11111111111 28531167061 67546215517 149346699503 311505013051 617839704241
(((((x - (2 + 2)) mod (((x mod ((2 + 1) * 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1) * 2) - 1)
A163378: 1 1 1 3 1 3 1 3 3 3 1 3 1 3 3 7
((((x mod ((x mod ((x div (((1 - (x div (2 + 2))) mod (2 + 1)) + 2)) + 1)) + 1)) + 1) div 2) + 1)
A322872: 1 1 1 2 1 2 1 3 2 1 1 2 1 2 3 3
((2 + 1) mod (((((x + 1) div (((((x * x) div (2 + 1)) + 1) mod (x + 1)) + 1)) + 1) div 2) + 1))
A124921: 1 1 1 0 1 1 1 0 1 1 3 1 1 3 1 1
((x div ((x div (((x mod ((x mod (((2 - x) div (2 + 1)) - 1)) - 1)) mod (2 + 1)) + 1)) + 2)) + 1)
A249973: 1 1 1 2 1 2 1 2 1 1 2 3 1 2 1 3
(((((x div (2 + 1)) + 1) div (((x - (x div ((2 + 2) * (2 + 1)))) mod (2 + 1)) + 1)) div 2) + 1)
A335438: 1 1 1 2 1 1 2 1 1 3 2 1 1 3 2 2
(x mod ((((2 - (((x - 2) - (x div (2 + 1))) mod (2 + 1))) mod ((x div (2 + 1)) + 1)) * 2) + 1))
A103822: 0 0 0 0 1 0 0 2 2 0 0 1 2 1 0 0
(((((((x * x) div (((((x div 2) * (x + 1)) mod 2) * (2 + 1)) + 1)) + 1) div 2) + 1) div 2) - 1)
A214630: ~1 0 0 2 3 6 2 12 15 20 6 30 35 42 12 56
((((x div 2) div ((x mod (((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) * 2) + 1)
A299766: 1 1 3 1 5 3 7 1 3 5 11 3 13 7 5 1
((((((x + 1) mod (((((x - 1) * x) mod ((2 + 2) + 1)) * (2 + 1)) + 1)) div 2) + 1) div 2) + 1)
A244840: 1 1 2 1 2 1 1 1 1 2 1 1 3 2 1 1
((x div ((x div ((x mod ((((2 - (x mod ((2 + 2) * 2))) mod (2 + 1)) + 1) * 2)) + 1)) + 2)) + 1)
A078899: 1 1 1 2 1 2 1 3 3 2 1 4 1 2 3 4
((((((((((((x div 2) * x) mod 2) + x) * (x * x)) + 2) div (2 + 1)) + 1) div 2) + 1) div 2) + 1)
A179183: 1 2 2 4 7 12 19 34
((x div (((x mod (((x mod (((((x div 2) - 1) mod (2 + 2)) + 1) * 2)) + 1) * 2)) + 1) * 2)) + 1)
A336933: 1 1 2 1 3 2 4 1 5 3 6 2 7 4 3 1
((((x * 2) mod ((((x * 2) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) * 2) + 1)) div 2) + 1)
A337266: 1 1 1 1 2 1 1 3 1 1 1 1 4 2 1 1
(2 div ((((x mod ((x mod ((((x mod (2 + 1)) * 2) + 1) * ((2 + 2) + 1))) + 2)) + 1) div 2) + 1))
A263250: 2 1 1 0 0 0 2 0 0 0 0 0 2 0 0 1
((((x + 2) * 2) - ((x - ((((x * x) + 1) * (2 + 1)) div (((2 + 1) * 2) + 1))) div 2)) + 1)
A159018: 5 7 9 12 15 18 22 26 31 36 42 48 54 61 68 76
(((((x * x) div 2) mod (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) * 2) + 1)) div 2) + 1)
A164953: 1 1 1 1 2 1 1 3 2 1 1 3 4 3 1 1
((((x div (((((x mod ((x mod (2 + 1)) + 2)) + 1) * (2 + 1)) mod (x + 1)) + 2)) + 1) div 2) + 1)
A343240: 1 1 2 1 2 2 2 1 2 2 2 4 2 2 2 2
((((((((((1 - x) * 2) mod (((2 + 2) * 2) + 1)) - 1) div 2) mod (x + 1)) div 2) + 1) div 2) + 1)
A106476: 1 1 1 2 1 1 2 2 1 1 4 2 2 1 1 2
(((((((x mod ((((x * x) div (2 + 1)) mod (x + 1)) + (2 + 1))) + 1) div 2) div 2) + 1) * 2) + 1)
A162022: 3 3 3 5 3 3 5 3 3 7 3 5 3 3 5 3
((x div ((x div ((((((x - (2 + 1)) * 2) div ((x div (2 + 1)) + 1)) mod 2) * 2) + 1)) + 2)) + 1)
A300655: 1 1 1 1 2 1 1 1 3 2 3 1 3 1 1 1
(((x mod ((((((((x - (x div ((2 + 2) * 2))) div 2) + 1) mod 2) + 2) * 2) * 2) - 1)) div 2) + 1)
A071508-A071505: 1 1 2 2 3 3 4 1 1 5 6 3 3 2 2 1
(((((x - ((0 - ((x - (((x + 1) div 2) mod ((2 + 1) * 2))) div 2)) div 2)) * 2) + 1) * 2) + 1)
A160785: 3 7 11 15 23 27 31 35 39 43 47 59 63 67 71 75
((((((((((((x + 1) * 2) * (2 + 1)) + 1) * (x + 1)) + 2) * 2) * 2) * 2) - 1) * 2) - 1)
A228597: 141 445 941 1629 2509 3581 4845 6301 7949 9789 11821 14045 16461 19069 21869 24861
((((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) + 1)
A176149: 1 1 1 1 3 1 1 3 3 1 1 5 3 5 1 1
((((x div (2 + 1)) + 1) div (((x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) + 1) * 2)) + 1)
A079211-A026835: 1 1 1 2 1 1 2 1 1 1 3 2 1 1 1 4
(2 div ((((((1 - (x div ((x mod (2 + 2)) + 1))) mod ((x div 2) + 1)) mod (2 + 2)) + 1) div 2) + 1))
A157865: 2 2 1 1 2 1 0 2 0 1 2 1 0 1 1 1
((((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * ((2 + 2) + 1)) div 2) + 1)
A191278: 1 1 1 1 1 3 1 1 1 3 1 6 1 3 3 1
(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) + ((x mod (((2 + 2) + 1) * 2)) + 1))
A160927: 1 3 5 7 9 11 13 15 17 19 12 23 34 45 56 67
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) * 2) + 1)
A196493-A132729: 1 1 1 1 1 1 1 3 3 1 1 5 9 5 1 1
((((((((((x - 1) div 2) div 2) * (x div ((2 + 2) + 1))) + 1) + x) mod (2 + 2)) + 1) div 2) + 1)
A325518: 2 2 3 1 2 3 1 2 2 1 3 1 2 1 2 2
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div 2) + 2) + 1)) div 2) + 1)
A147290: 1 1 1 1 3 1 1 4 4 1 1 5 10 5 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div 2) - 2) - 1)) div 2) + 1)
A132823: 1 1 1 1 0 1 1 1 1 1 1 2 4 2 1 1
((x div (((((x div (2 + 1)) - (x div (((1 - x) div (2 + 1)) - 1))) + 1) mod (2 + 1)) + 2)) + 1)
A110884: 1 1 1 2 2 2 2 4 3 4 4 4 4 4 4 8
((((((x div 2) + 2) div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) * (2 + 1)) div 2) + 1)
A327790-A206941: 1 1 1 1 2 1 2 1 2 2 4 1 4 2 2 2
((2 + 2) mod (((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) div (2 + 1)) * 2) + 1))
A135302: 1 0 1 0 1 1 0 1 1 1 0 1 4 1 1 0
(((((((((x * x) mod ((2 + 1) * 2)) * (2 + 1)) mod (x + 1)) div 2) div 2) * (2 + 1)) div 2) + 1)
A046591-A046563: 1 1 1 1 1 1 1 1 1 4 1 1 1 1 5 4
((x + 1) div (((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)) + 1))
A135941: 1 2 1 4 2 3 2 8 4 5 3 6 4 4 3 16
(((((x + 2) * (x + 2)) * (((x + 2) * x) + 1)) * ((2 + 2) + 1)) * (((2 + 1) * 2) + 1))
A317984: 140 1260 5040 14000 31500 61740 109760 181440 283500 423500 609840 851760 1159340 1543500 2016000 2589440
(((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1)) + 1) * 2) * (((2 + 1) * 2) + 1))
A157366: 700 1386 2072 2758 3444 4130 4816 5502 6188 6874 7560 8246 8932 9618 10304 10990
((((((((((x + 2) * 2) * 2) * 2) + x) * 2) + x) * (x + 1)) div 2) div (((2 + 1) * 2) + 1))
A184976: 2 7 15 25 38 54 73 94 118 145 174 206 241 279 319 362
(((((((((2 + 2) * 2) * (x + 1)) - 1) * 2) - 1) * (2 + 1)) + x) * (((2 + 1) * 2) + 1))
A157374: 273 616 959 1302 1645 1988 2331 2674 3017 3360 3703 4046 4389 4732 5075 5418
((((((x div 2) + 1) div ((x mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + (x div (2 + 1))) div 2) + 1)
A339147-A062821: 1 1 2 2 3 2 4 3 4 3 4 3 6 4 4 4
(((x mod ((2 + 2) + 1)) + 1) mod (((x div ((2 + 2) * 2)) + 1) * (((x div (2 + 1)) mod 2) + 1)))
A035440: 0 0 0 0 1 1 0 0 0 1 1 2 1 0 1 1
(((((((((x * x) div (2 + 1)) mod (x + 1)) div 2) div 2) * (2 + 1)) - (x mod (2 + 1))) div 2) + 1)
A029305: 1 0 0 1 0 0 2 0 0 2 0 1 4 0 1 4
((((((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + x) div 2) + 1) div 2) + 1)
A057022: 1 1 2 2 3 3 4 3 4 4 6 4 7 6 6 6
(((((((((x div (2 + 1)) + x) * (x + 1)) div 2) div ((2 + 2) + 1)) + (x div 2)) + 1) * 2) - 1)
A225523: 1 1 3 5 9 11 17 21 27 33 39 43 53 59 69 79
((((((1 - (x mod (((2 - (x mod 2)) * 2) * 2))) + (x mod 2)) + 1) mod ((x div 2) + 1)) div 2) + 1)
A285521: 1 1 1 1 1 2 1 1 2 2 1 1 3 2 3 1
((x div ((x div ((((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) * 2) + (x mod 2)) + 1)) + 2)) + 1)
A322866: 1 1 1 2 1 2 1 3 3 2 1 3 1 2 3 4
((((((((((((x * x) * (2 + 1)) + x) + 1) * 2) + 1) * (x + 1)) - 1) * x) + 1) * 2) - 1)
A272124: 1 43 369 1507 4273 9771 19393 34819 58017 91243 137041 198243 277969 379627 506913 663811
(((((((((((((x div 2) * x) mod 2) + x) * (x + 2)) div 2) + 1) div 2) div 2) + x) + 1) div 2) + 1)
A082463: 1 2 3 4 5 6 7 9 10
A284831: 1 2 3 4 5 6 7 9 10 12 14 16 18 20 22 26
(((((x mod ((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1)
A306467: 1 1 1 1 1 2 1 3 2 2 1 3 1 2 3 5
(((((x div (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1)) + 1) mod (x + 1)) div 2) + 1)
A345062: 1 1 1 1 1 2 1 1 1 3 1 4 1 4 3 1
(((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) div 2) + 1)
A337093-A326334-A323438-A318559-A317791-A317508-A317141-A305254-A252665-A218320-A001055: 1 1 1 2 1 2 1 3 2 2 1 4 1 2 2 5
(((((x - (((((((x + 1) div 2) * (2 + 1)) div 2) + 1) div 2) * 2)) + 1) mod (x + 1)) * 2) + 1)
A234587: 1 1 3 1 3 5 7 5 7 5 7 5 7 9 11 9
((x div ((((((x div ((((x div 2) mod 2) * 2) + 1)) mod 2) - (x mod 2)) + 1) mod (x + 1)) + 2)) + 1)
A187181: 1 1 1 2 2 2 3 4 3 4 3 4 5 5 5 6
(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) - ((x div ((x div (0 - 2)) - 2)) - 1))
A178994: 1 2 2 2 3 2 3 4 4 3 3 4 5 4 3 3
(((((x div (((((x - 2) * 2) div (((x div (2 + 2)) + 2) + 2)) mod 2) + 1)) + 1) div 2) div 2) + 1)
A176816: 1 1 1 2 2 1 2 3 3 3 3 2 4 2 3 3
(((((x mod (((x div ((((x + 2) mod ((x mod 2) + 2)) + 2) * 2)) * 2) + 1)) + 1) div 2) * 2) + 1)
A131248: 1 1 1 1 3 1 1 3 5 1 1 3 7 7 1 1
((((x - (((x * x) * x) div (x - (((((2 + 2) * 2) * 2) * (2 + 1)) + 1)))) div 2) div 2) + 1)
A179241: 1 1 1 2 2 3 4 5 6 8 10 12 15 19 24 29
(x - ((((((x - (((1 - x) div (((2 + 1) * 2) + 1)) * (2 + 1))) div 2) + 1) div 2) * 2) - 1))
A245615: 1 2 1 0 1 2 3 2 3 2 3 4 3 4 5 6
(((((x div (((((2 + 2) * 2) - (x div 2)) * 2) * 2)) * (((2 + 1) * 2) + 1)) div 2) * 2) + 1)
A147056-A146804-A146735-A146711-A146703-A146671-A146639-A146631-A146615-A146466-A146410-A146402: 1 1 1 1 1 1 1 1 1 1 1 1 7 7 21 21
((x div ((x mod ((x div ((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) + 1)) + 2)) + 2)) + 1)
A330942: 1 1 1 1 1 1 1 2 1 1 1 4 7 1 1 1
(((x + 2) * x) div (((((((2 + 2) * (x + 1)) * (x + 1)) mod ((2 + 2) + 1)) div 2) * 2) + 1))
A146975: 0 3 8 3 24 7 48 63 16 99
((((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) div 2) div 2) - 1)
A081689: 0 2 6 11 17 25 34 44 55 68 82 97 113 130 149 169
((((((((((((2 + 2) * (x + 1)) + x) * 2) * 2) + x) * (x + 2)) div 2) + 1) div 2) div 2) + 1)
A194150: 5 15 30 50 76 107 143 184 231 283 340 402 470 543 621 704
(((((((((2 + 2) * 2) * (x + 1)) + 1) * (((x + 1) * 2) + 1)) + (2 + 1)) * 2) * 2) - 1)
A243581: 119 351 711 1199 1815 2559 3431 4431 5559 6815 8199 9711 11351 13119 15015 17039
(((((((((((x + 2) * (x + 2)) * 2) - x) * 2) - 1) * (x + 1)) * (2 + 1)) div 2) div 2) + 1)
A248230: 12 50 133 280 507 833 1276 1855 2586 3488 4579 5878 7401 9167 11194 13501
((((((((x + 2) * 2) - ((2 - x) div ((x div (2 + 2)) + 2))) * 2) div (2 + 1)) + 2) + 2) + 1)
A248636: 7 9 10 12 13 15 17 18 19 21 22 24 25 27 28 29
(((((x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2)) * (2 + 1)) div 2) * 2) + 1)
A026175-A026139: 1 3 7 9 15 19 21 25 27 33 39 43 45 51 55 57
((((((((((((x div 2) - 1) div 2) * (2 + 1)) div 2) div 2) + x) + 2) * (2 + 1)) div 2) * 2) - 1)
A206547: 1 5 11 13 17 19 23 25 29 31 37 41 43 47 53 55
(x mod (((((((2 - ((1 - x) div (((x div 2) div (2 + 1)) + 1))) * x) div 2) + 1) div 2) div 2) + 1))
A099314: 0 0 0 1 1 0 1 2 1 1 0 1 2 2 1 1
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) * 2) + 1)
A302997-A238339-A026714-A008288: 1 1 1 1 3 1 1 5 5 1 1 7 13 7 1 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) + 1)
A338934: 1 1 1 1 3 1 1 5 5 1 1 7 15 7 1 1
(((((((((1 - ((x mod 2) * 2)) * (x + 2)) + 2) * (2 + 1)) - 1) * (x + 1)) div 2) div 2) + 1)
A142888: 3 ~1 13 ~9 29 ~23 51 ~43 79 ~69 113 ~101 153 ~139 199 ~183
(((x mod (((0 - (((x mod ((x mod (2 + 2)) + 1)) + 1) * (2 + 1))) mod (x + 1)) + 2)) div 2) + 1)
A122085: 1 1 1 1 1 1 1 1 1 2 2 1 1 2 4 2
((((x - ((0 - (((x + 1) mod ((2 + 2) * (2 + 1))) * (2 + 1))) div (x + 1))) div 2) * 2) + 1)
A079886: 3 5 5 7 7 9 9 11 11 13 13 11 13 15 15 17
(((((x + 1) * 2) mod (((((((2 + 2) * 2) * (2 + 1)) - 1) * 2) mod (x + 1)) + 2)) div 2) + 1)
A049998: 1 1 1 1 1 1 2 1 1 3 2 1 5 3 1 1
(((x + 1) div (((((2 - (x div (((2 - x) div (2 + 2)) - 1))) * 2) mod (x + 1)) + 2) * 2)) + 1)
A240837: 1 1 1 2 1 1 1 2 2 3 2 1 1 1 1 1
((((((((2 + 1) * x) + 2) * 2) * (2 + 1)) div ((2 + 2) + 1)) + (((x + 1) div 2) div 2)) + 1)
A189530: 3 7 10 15 18 22 26 30 34 37 41 46 49 53 56 61
(((((x - 1) mod ((x mod ((x mod (2 - ((x div (2 + 2)) div (0 - 2)))) + 1)) + 2)) div 2) * 2) + 1)
A212181: 1 1 1 3 1 1 1 1 3 1 1 3 1 1 1 5
((((((x - (((((2 - x) div (2 + 2)) * 2) - 1) div (2 + 1))) * (2 + 1)) div 2) * 2) * 2) + 1)
A162597-A008846: 5 13 17 25 29 37 41 53 61 65 73 85 89 97 101 109
compr(\x.((x div 2) mod 2),(((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2) + 1))
A143334: 1 1 1 1 4 1 1 5 5 1 1 8 8 8 1 1
(((((((((x + 2) * 2) * 2) + x) * 2) + 1) * 2) * (x + 1)) div ((((2 + 2) * 2) * 2) + 1))
A194143: 2 6 13 22 33 47 63 81 102 125 151 179 209 242 277 314
(((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1) + (x div ((((2 + 2) * 2) * 2) - 1)))
A003484: 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 9
compr(\x.((x div 2) mod 2),(((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)))
A258197: 0 0 0 0 1 0 0 1 1 0 0 4 5 4 0 0
(((((x div (((2 + 2) * 2) + 1)) + x) * (((2 + 2) * 2) + 1)) + 1) * (((2 + 2) * 2) + 1))
A044641: 9 90 171 252 333 414 495 576 657 819 900 981 1062 1143 1224 1305
(((((((x + 2) * (x + 2)) * ((x + 2) + 2)) * (x + 1)) div 2) + 1) div (((2 + 2) * 2) + 1))
A216173: 1 5 16 39 80 147 249 396 600 874 1232 1690 2265 2975 3840 4881
((((((((x + 1) * 2) * (2 + 1)) + x) * 2) * (x + 1)) * (2 + 1)) * (((2 + 2) * 2) + 1))
A305070: 324 1404 3240 5832 9180 13284 18144 23760 30132 37260 45144 53784 63180 73332 84240 95904
(((((x + 1) * 2) * ((2 + 2) + 1)) + (x mod (((2 + 2) + 1) * 2))) * (((2 + 2) * 2) + 1))
A282473: 90 189 288 387 486 585 684 783 882 981 990 1089 1188 1287 1386 1485
((((((x mod ((2 + 2) + 1)) + 1) * (x div ((2 + 2) + 1))) div 2) div 2) * (((2 + 2) * 2) + 1))
A229758: 0 0 0 0 0 0 0 0 9 9 0 9 9 18 18 0
((((x + 1) div ((x mod (((2 + 2) * (2 + 1)) - 1)) + 2)) + 1) + (x div (((2 + 2) * 2) + 1)))
A061828: 1 1 1 1 1 1 1 1 1 2 2 8 6 5 5 4
((((compr(\x.(((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)),x) + 2) div 2) * 2) - 1)
A050826: 1 1 3 3 5 7 7 9 11 13 15 17 17 19 19 21
((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) div ((x mod ((x mod 2) + 2)) + 2)) + 1)
A168316: 1 0 1 0 2 1 0 1 2 1 0 1 3 2 1 0
(2 div ((((((x div 2) - 1) mod (((x div 2) div (((x mod 2) * 2) + 1)) + 1)) + 1) mod (2 + 2)) + 1))
A216282: 1 1 1 1 0 1 0 1 2 0 1 1 0 0 0 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) mod (2 + 2)) + 1)
A095140: 1 1 1 1 2 1 1 3 3 1 1 4 1 4 1 1
(((((((((2 + 2) * 2) * 2) * (x + 1)) div (2 + 1)) * 2) * (2 + 1)) + 1) div ((2 + 2) + 1))
A190265: 6 12 19 25 31 38 44 50 57 63 69 77 83 89 96 102
(2 - ((((((x - (((x + 1) mod (2 + 1)) - 1)) * (2 + 1)) div 2) div 2) + 1) mod ((2 + 2) + 1)))
A037865: 1 1 ~1 ~1 ~1 2 2 2 0 0 0 2 2 2 0 0
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1) * (2 + 1)) mod ((2 + 2) + 1))
A138070: 3 3 3 3 1 3 3 1 1 3 3 1 4 1 3 3
((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + ((2 + 2) + 1))
A079696: 5 7 9 10 11 13 15 16 17 19 21 22 23 25 26 27
((((((x + 1) * 2) - ((x + 1) mod (((2 + 2) + 1) * 2))) * 2) * (2 + 1)) div ((2 + 2) + 1))
A059589: 1 2 3 4 6 7 8 9 10 24 25 26 27 28 30 31
(((((((((x + 2) * (x + 2)) * (2 + 1)) + 1) * 2) * 2) * 2) * (2 + 1)) * ((2 + 2) + 1))
A069475: 1560 3360 5880 9120 13080 17760 23160 29280 36120 43680 51960 60960 70680 81120 92280 104160
(((((((((2 + 2) * 2) + x) * (x + 2)) - 1) * (x + 2)) div 2) div (2 + 1)) div ((2 + 2) + 1))
A026053: 1 2 5 9 14 21 29 40 53 68 86 106 130 157 187 221
((compr(\x.((x mod (((2 + 2) + 1) * 2)) * (x mod (((2 + 1) * 2) + 1))),x) + 2) + ((2 + 2) + 1))
A092433: 7 14 17 21 27 28 35 37 42 47 49 56 57 63 67 70
((((((((x - (x div ((2 + 2) * (2 + 1)))) mod 2) * 2) + 1) * 2) + x) + 2) div ((2 + 2) + 1))
A260617: 0 1 1 2 1 2 2 3 2 3 2 3 4 3 4 3
(((((((((x * x) div (2 + 2)) + (x * 2)) * ((x + 2) + 2)) div (2 + 1)) + x) div 2) div 2) + 1)
A008804: 1 2 4 6 10 14 20 26 35 44 56 68 84 100 120 140
(((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) * 2) + 1)
A037227: 1 3 1 5 1 3 1 7 1 3 1 5 1 3 1 9
((((((((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1)) * (2 + 2)) + 1) + (x mod 2)) * 2) - 1)
A120821: 1 179 529
((((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) - (x mod 2)) * 2) + 1)
A145812: 1 3 9 11 33 35 41 43 129 131 137 139 161 163 169 171
(((x * x) div ((x mod ((((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1)) + 1)) mod (2 + 1))
A060950: 0 1 1 0 1 0 0 1 1 1 1 1 0 0 2 0
(((x + 1) div ((x mod (((x - (((x div 2) + 2) div (2 + 1))) mod (2 + 1)) + 1)) + 1)) div (2 + 1))
A264010: 0 0 1 1 1 1 2 2 3 1 1 4 4 2 1 5
(((x div ((((x div ((((((x mod 2) * 2) + 1) * 2) * 2) + 1)) + 1) mod 2) + 1)) + 1) div (2 + 1))
A154263: 0 0 0 0 1 1 2 1 3 1 2 2 2 4 2 5
((((((((((x + 1) * x) + 1) * 2) * 2) * 2) * ((x * 2) + 1)) div (2 + 1)) + 1) div (2 + 1))
A299261: 1 8 31 81 168 303 497 760 1103 1537 2072 2719 3489 4392 5439 6641
((((((((x - (x div (0 - 2))) * (x + 1)) div 2) + 1) * (x + 1)) div (2 + 1)) + 1) mod (2 + 1))
A059963: 1 0 0 0 0 0 0 1 1 0 2 2 2 2 2 0
(((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + 1) mod (2 + 1))
A111397: 1 0 2 0 1 0 2 0 1 0 2 0 1 0 1 2
((((((x + 2) * (x + 1)) div 2) * ((x + 2) + 1)) * (((2 + 2) * (2 + 1)) - 1)) div (2 + 1))
A111080: 11 44 110 220 385 616 924 1320 1815 2420 3146 4004 5005 6160 7480 8976
(2 - ((((x + 1) div ((((2 - x) mod ((2 + 2) + 1)) + 2) + (x div (2 + 1)))) + 1) mod (2 + 1)))
A216228: 1 1 0 1 1 0 0 2 0 0 0 2 2 0 0 0
((((x + 2) mod (((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1) * 2)) + 1) div (2 + 1))
A346070-A254990-A191258: 0 1 0 2 0 1 0 3 0 1 0 2 0 1 0 0
((((((x + 2) * (x + 1)) div 2) * (x + 1)) * (((((x + 1) * x) + 1) * 2) + 1)) div (2 + 1))
A077538: 1 14 90 360 1075 2646 5684 11040 19845 33550 53966 83304 124215 179830 253800 350336
(((x * 2) * (2 + 1)) - (((((x - ((2 - (x div 2)) div (x + 2))) * 2) * 2) + 1) div (2 + 1)))
A314885: 1 5 9 14 19 23 27 31 36 41 45 50 55 59 64 69
(((((((((x div (2 + 2)) - (x mod (2 + 2))) div 2) * 2) - 1) mod (x + 2)) div 2) + 1) div (2 + 1))
A181676-A181674: 0 0 0 0 1 1 1 1 0 2 2 2 0 0 2 3
((((((2 + 2) * 2) * ((x * 2) + 1)) mod (((2 + 2) * (2 + 1)) + 1)) div (2 + 1)) mod (2 + 1))
A287240: 2 0 0 1 2 0 0 1 2 0 1 0 1 2 0 0
((1 - (x div (((x mod (((x mod (((x mod 2) + 2) + 1)) + 1) * 2)) + 1) * (2 + 1)))) mod (2 + 1))
A035200: 1 1 1 1 0 1 2 1 1 0 0 1 0 2 0 1
((2 - ((((x - ((x + 1) mod (((2 - x) mod (2 + 2)) + 1))) * 2) + 1) div (2 + 1))) mod (2 + 1))
A125070: 0 1 1 0 1 2 1 0 0 2 1 1 1 2 2 1
(1 - ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)))
A176625: 1 1 1 1 ~2 1 1 ~5 ~5 1 1 ~8 ~11 ~8 1 1
(((((((x * x) - 2) mod (((2 + 2) * (2 + 1)) + 1)) * 2) + 1) div ((x mod 2) + 1)) - (2 + 1))
A216289: 20 9 2 4 0
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((((x + 2) + 2) * x) + 1) * (2 + 1)))
A103145: 3 19 43 76 119 173 239 318 411 519 643 784 943 1121 1319 1538
(1 - (((((((x * 2) + 1) mod (((2 + 1) * 2) + 1)) * (2 + 1)) + 1) mod (x + 1)) mod (2 + 1)))
A074711: 1 1 0 0 ~1 0 ~1 0 0 1 0 0 1 ~1 0 0
(((1 - (x mod ((((((2 + 2) * 2) * 2) div (x + 1)) * (2 + 1)) - 1))) * (x + 1)) mod (2 + 1))
A171368: 1 0 0 1 0 0 0 1 0 0 2 0 1 0 0 0
(((1 - (((((x div ((2 + 2) * 2)) + x) mod ((2 + 2) + 1)) * 2) - 1)) mod (x + 1)) div (2 + 1))
A221515: 0 0 0 0 1 0 0 2 1 0 0 3 3 2 0 0
((((((((((x * 2) * (2 + 1)) + 2) * 2) + x) * (x + 1)) div 2) + 1) * (x + 1)) div (2 + 1))
A100183: 1 12 46 116 235 416 672 1016 1461 2020 2706 3532 4511 5656 6980 8496
(((((((((((2 + 1) * x) + 2) * 2) * 2) - x) * (x + 1)) div 2) - 1) * (x + 1)) div (2 + 1))
A100156: 1 12 44 108 215 376 602 904 1293 1780 2376 3092 3939 4928 6070 7376
(((((((2 + 2) + 1) * x) + (2 + 1)) * ((((x * 2) * 2) * 2) + 1)) * (x + 1)) div (2 + 1))
A100146: 1 48 221 600 1265 2296 3773 5776 8385 11680 15741 20648 26481 33320 41245 50336
((((x div (((2 - x) div (2 + 2)) - 2)) + x) + (((x * 2) * 2) + 1)) - ((x + 1) div (2 + 1)))
A314830: 1 5 9 14 18 22 27 32 36 40 45 49 54 59 63 68
(((((x - ((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1))) * (2 + 1)) + 1) * 2) * (2 + 1))
A277985: 6 24 204 546 1050 1716 2544 3534 4686 6000 7476 9114 10914 12876 15000 17286
((((((((((x + 1) * x) + 2) * 2) + 1) * ((x * 2) + 1)) div (2 + 1)) + 1) * 2) div (2 + 1))
A299265: 1 6 19 45 90 159 257 390 563 781 1050 1375 1761 2214 2739 3341
(1 - (((x - (((((((x div 2) * (x + 1)) div 2) + 1) * 2) div (2 + 1)) - 1)) * 2) div (2 + 1)))
A321404: 1 0 0 0 1 0 1 1 3 4 6
(((((((((1 - x) * (2 + 1)) mod ((x div 2) + 1)) + 2) * 2) div (2 + 1)) + 1) * 2) mod (2 + 1))
A321854: 1 1 0 1 1 1 0 0 1 0 2 1 0 0 0 0
(((((((((x * x) * x) div (((2 + 2) * 2) + x)) + 2) * 2) div (2 + 1)) + 1) * 2) div (2 + 1))
A125811: 1 1 1 2 3 5 8 11 15 20 26 32 39 47 56 66
(((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) * 2) + 1) * 2) div (2 + 1))
A275812-A212172: 0 0 0 2 0 0 0 3 2 0 0 2 0 0 0 4
((((((((x div ((2 + 2) * (2 + 1))) + x) div 2) + ((x + 1) * 2)) * 2) + 1) * 2) div (2 + 1))
A287176: 3 6 10 12 16 19 23 26 30 32 36 39 43 47 50 54
(((((x mod (1 - (x mod ((x div ((2 + 2) * (0 - 2))) - 1)))) + 1) * (2 + 1)) div 2) * (2 + 1))
A179802: 3 9 3 9 3 9 3 9 3 3 9 9 3 9 3 3
((((2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) + ((x + 1) div (2 + 1))) + 2) mod (2 + 1))
A079632: 0 1 2 0 0 1 1 2 0 0 0 1 1 1 2 0
(((((((((x + 1) * 2) * ((2 + 2) + 1)) + x) * (x + 1)) div 2) div (2 + 1)) + 2) div (2 + 1))
A025736-A022784: 1 3 6 10 15 22 30 39 49 61 74 88 103 119 137 156
((((x + 2) * x) * ((x div 2) + 1)) - (((((x * x) - 1) * ((x + 2) + 1)) div 2) div (2 + 1)))
A024598: 1 3 14 22 55 73 140 172 285 335 506 578 819 917 1240 1368
((((((((x - (x div (2 + 1))) div (2 + 1)) + ((x + 1) * 2)) * 2) + x) + 1) * 2) div (2 + 1))
A189368: 3 6 10 13 18 21 24 28 32 36 39 42 46 50 54 57
(((((((((x mod (2 + 2)) + 1) + (x mod (2 + 1))) div 2) * 2) + 1) mod (x + 1)) + 2) div (2 + 1))
A332997: 0 1 1 1 1 2 1 2 1 1 2 3 1 1 2 2
((x mod (((1 - ((((2 + 2) + 1) * 2) * (((2 + 2) * 2) + 1))) mod (x + 1)) + 2)) div (2 + 1))
A284269: 0 0 0 1 0 0 0 2 0 0 3 0 0 0 0 2
((((x - (((((x div 2) - ((2 + 2) * 2)) * 2) div (2 + 1)) * 2)) mod (x + 1)) + 2) div (2 + 1))
A336929: 0 1 0 1 1 1 0 3 2 2 1 1 1 1 1 1
((((((x + 2) * x) - ((((1 - x) * x) * ((2 + 2) * 2)) * 2)) * (x + 1)) div 2) div (2 + 1))
A237617: 0 1 20 74 180 355 616 980 1464 2085 2860 3806 4940 6279 7840 9640
((((((((x + 2) * x) * (x + 1)) div 2) * ((((x + 2) + 2) + 2) + 1)) div 2) div 2) div (2 + 1))
A005582: 0 2 9 25 55 105 182 294 450 660 935 1287 1729 2275 2940 3740
(((((2 - ((x + 1) mod ((((1 - x) div ((x div 2) + 2)) * 2) - 1))) div 2) * 2) * 2) div (2 + 1))
A101566: 1 1 1 2 1 1 2 2 1 1 4 2 2 1 1 4
(((((2 - (x mod (((x div 2) mod (0 - ((x div (2 + 2)) + 2))) - 2))) div 2) * 2) * 2) div (2 + 1))
A036065: 1 1 1 1 2 1 1 1 1 1 1 4 1 4 1 1
(((1 - (x mod ((0 - x) - (2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))))) + 2) div (2 + 1))
A146565-A115594-A086623-A086461-A072405-A047089: 1 1 1 1 1 1 1 2 2 1 1 3 4 3 1 1
(((((((((((x + 2) * 2) * 2) - (x mod 2)) + 1) * (x + 2)) div 2) + 2) + 2) * 2) + (2 + 1))
A138052: 29 47 79 111
(((((x - ((((x mod 2) - x) - 1) div ((2 + 2) + 1))) + 2) * ((x + 2) + 2)) div 2) mod (2 + 1))
A082786: 0 1 0 0 1 0 2 0 0 0 0 0 1 0 0 1
((((((x - (((x div 2) - (((x - 1) * x) div (2 + 2))) div 2)) div 2) + x) + 2) * 2) div (2 + 1))
A164043: 1 2 3 4 5 6 8 9 10 12 14 16 18 20 21 24
(((((((x + 1) * 2) * ((2 + 2) + 1)) + (x div 2)) * (2 + 1)) + ((x div 2) mod 2)) - (2 + 1))
A260440: 27 57 91 121 153 183 217 247 279 309 343 373 405 435 469 499
((((((((((x div ((2 + 2) * (2 + 1))) + x) div 2) + x) + 2) * 2) * 2) + x) + 2) div (2 + 1))
A107792: 3 5 8 9 12 14 17 19 22 23 26 28 31 34 36 39
((((((((((x + 1) div (((2 + 1) * 2) + 1)) * x) div 2) + x) div 2) + 2) + x) * 2) div (2 + 1))
A102799: 1 2 3 4 5 6 8 9 10 11 12 14 15 18 20 21
((((((x - (((x * x) * (x * x)) div ((x div (0 - 2)) - 1))) * x) div 2) * x) div 2) mod (2 + 1))
A340728: 0 0 1 1 0 1 0 2 0 1 0 1 0 2 1 0
(((((((x + 2) * x) * (2 + 2)) * (x + 1)) div (2 + 1)) + (((x + 2) * x) div 2)) div (2 + 1))
A001860: 0 3 12 29 57 99 157 234 333 456 606 786 998 1245 1530 1855
(1 - (((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) - (x mod 2)) mod (2 + 1)))
A077009: 1 ~1 1 ~1 0 ~1 1 1 1 ~1 0 ~1 0 0 1 ~1
(((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) - (x mod 2)) * (2 + 1))
A001196: 0 3 12 15 48 51 60 63 192 195 204 207 240 243 252 255
(((((((((x div (2 + 2)) + 2) * ((x + 1) div (2 + 1))) div 2) div 2) * 2) + 1) + x) div (2 + 1))
A053046: 0 0 1 1 1 2 3 3 5 5 5 6 7 8 9 9
((x + 1) - ((((x div (((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2)) + 2) + x) div (2 + 1)))
A006165: 1 1 2 2 3 4 4 4 5 6 7 8 8 8 8 8
((x * 2) - ((((x div (((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2)) + 2) + x) div (2 + 1)))
A294456: 0 1 3 4 6 8 9 10 12 14 16 18 19 20 21 22
(((((x - ((((x - (x div (2 + 2))) div 2) - ((x + 1) * 2)) * 2)) * 2) * 2) + x) - (2 + 1))
A134864: 13 34 47 68 89 102 123 136 157 178 191 212 233 246 267 280
(((((((x div 2) div ((2 + 2) + 1)) + 2) * 2) mod ((x div (2 + 1)) + 1)) + 2) + (x div (2 + 1)))
A076973: 2 2 2 3 3 3 5 5 5 5 7 7 7 7 7 7
(((((((((x + 1) mod ((x mod (2 + 2)) + 1)) div 2) + 2) mod (x + 1)) + 2) + x) + x) + (2 + 1))
A280199: 5 7 11 13 15 17 19 21 23 25 28 29 31 33 35 37
((x + 1) div (((((((x * x) * (2 + 1)) mod (((2 + 2) * (2 + 1)) - 1)) + 1) * x) div 2) + 1))
A219484: 1 0 1 0 0 0 0 0 0 1 0 2 0 1 0 0
((compr(\x.(x mod (((((x * x) * x) * ((x + 2) + 2)) mod (((2 + 2) * 2) + 1)) + 1)),x) + 2) + 1)
A189637: 3 6 8 9 12 15 17 18 21 23 24 26 27 30 33 35
(((((((((x - (x mod (((x div 2) + 2) + 2))) div (2 + 1)) + x) + 1) div 2) + 1) + x) * 2) + 1)
A340933: 3 7 9 13 15 19 21 27 29 33 37 39 43 45 49 51
(((((((((x + 2) * 2) * 2) * (((x + 1) * x) + 1)) div (2 + 1)) div (2 + 1)) + x) div 2) + 1)
A188123: 1 3 8 16 31 51 80 118 167 227 302 390 495 617 758 918
(((((((x + 1) * x) - ((x * x) div ((((2 + 2) * 2) * (2 + 1)) + x))) + 1) + x) div 2) + 1)
A118028: 1 3 5 9 13 19 25 32 40 50 60 71 83 97 111 126
(((((((((((x + 2) * x) div ((2 + 2) + 1)) * (x + 1)) div 2) + 1) div 2) div 2) + x) div 2) + 1)
A003107: 1 1 2 3 4 6 8 10 14 17 22 27 33 41 49 59
((((((((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1) * (x div 2)) div 2) div 2) + x) div 2) + 1)
A136343: 1 1 2 2 4 4 6 7 10 11 14 16 21 23 29 32
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (2 + 2)) + x)) div 2) + 1)
A114172: 1 1 1 1 3 1 1 5 6 1 1 7 16 9 1 1
(((((((((x * x) * (x + 1)) div 2) div (((2 + 2) * (2 + 1)) - 1)) + x) div 2) + x) div 2) + 1)
A067996-A020702: 1 1 2 3 4 6 8 10 13 16 21 25 31 37 44 53
((((((((x * x) * x) div (((2 + 2) * (2 + 1)) + ((x + 1) div 2))) + x) div 2) + x) div 2) + 1)
A242717-A001400: 1 1 2 3 5 6 9 11 15 18 23 27 34 39 47 54
(compr(\x.((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) - 1),(x + 2)) - 1)
A323648: 1 2 3 5 7 9 11 15 17 19 23 27 29 31 35 39
((((((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 2) * x) + (x mod 2)) div ((x + 2) + 1))
A319685-A076526-A069157: 0 1 1 2 1 2 1 3 2 2 1 4 1 2 2 4
(((((((x + 2) * 2) - ((1 - (x div 2)) div ((2 + 2) + 1))) * 2) div (2 + 1)) + (x * 2)) + 1)
A285359: 3 7 10 13 17 21 24 27 31 34 37 41 44 47 51 55
((((((x * x) mod ((((2 + 2) * 2) * 2) - 1)) mod 2) - (x div 2)) div (2 + 1)) + ((x * 2) + 1))
A184820: 1 3 4 7 8 10 12 14 15 17 19 21 23 25 27 28
((1 - x) mod (((((((x div 2) - (x div ((2 + 2) + 1))) mod (2 + 1)) + x) mod 2) * (x div 2)) + 1))
A294614: 0 0 1 0 0 0 0 2 0 2 0 2 3 0 0 0
((x + 1) div ((((((x - (((x * x) + (x div 2)) div (2 + 1))) div 2) mod 2) + 1) + (x mod 2)) + 1))
A102351: 0 0 1 1 1 2 3 2 3 3 3 4 4 3 5 4
(((x div (((x div 2) div (((x mod (((1 - x) mod (2 + 2)) + 2)) div 2) + 1)) + 2)) + (x mod 2)) + 1)
A327394: 1 2 2 3 2 3 2 4 3 3 2 4 2 3 4 5
(x div ((((((((((x + 1) mod (2 + 2)) + 2) * x) div 2) + 2) mod (2 + 1)) + 2) + (x mod 2)) + 1))
A302481: 0 0 0 0 0 1 1 1 1 1 3 2 2 2 3 2
(((((((((x div (2 + 2)) * 2) + 1) + 2) * 2) div (2 + 1)) - 1) - (x mod 2)) div ((x mod 2) + 1))
A029190: 1 0 1 0 2 0 2 0 3 1 3 1 5 2 5 2
(1 - (2 mod (((((x div (2 + 1)) - ((x + 1) mod (((x - 1) mod (2 + 1)) + 1))) + 1) - x) - 1)))
A301337: 1 1 2 2 2 3 4 4 6 6 6 7 8 8 10 10
(compr(\x.(x mod ((((((x + 2) * x) + 1) * ((2 + 2) + 1)) mod (((2 + 2) * 2) + 1)) + 1)),x) + 1)
A026227: 1 3 6 7 9 12 15 16 18 19 21 24 25 27 30 33
(compr(\x.((x + 1) mod (((((((x div 2) + 1) div 2) * 2) - 1) mod ((x div (2 + 2)) + 1)) + 1)),x) + 1)
A143896: 1 2 3 4 6 8 9 10 12 14 16 18 20 24 25 28
(compr(\x.((((((x div (2 + 1)) + x) * 2) - (x div (((2 + 1) * 2) + 1))) mod (2 + 1)) - 1),x) + 1)
A333227: 1 3 5 6 7 9 11 12 13 14 15 17 18 19 20 23
(compr(\x.(2 - ((((((x + 1) * 2) + 1) * x) * (x + 2)) mod (((2 + 2) * (2 + 1)) - 1))),x) + 1)
A284958: 2 4 6 7 8 9 11 13 15 17 18 19 20 22 24 26
(compr(\x.(1 - (x mod (((((((x div 2) div (2 + 1)) + x) mod (2 + 1)) + 1) mod (x + 1)) + 1))),x) - 1)
A026439: 2 3 4 6 9 10 12 13 14 16 18 20 21 22 24 28
(compr(\x.((x + 1) mod ((x div (1 - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2)))) + 1)),x) + 1)
A241562-A071562: 1 2 4 6 8 9 12 15 16 18 20 24 25 28 30 32
((((x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) - 1)) * (((2 + 2) * 2) + 1)) + x) + 1)
A209932-A057169: 10 20 30 40 50 60 70 80 90 100 101 102 103 104 105 106
((((x - ((x div (2 + 1)) - (((2 - x) + 1) div (((2 + 2) * 2) + 1)))) * (2 + 1)) + x) + 1)
A111102: 1 5 9 10 11 15 16 20 24 25 29 33 34 35 39 40
(((((((((2 + 2) + 1) * (x + 1)) + (x div ((2 + 2) + 1))) * 2) * 2) div (2 + 1)) + x) + 1)
A206906: 7 15 23 30 38 47 55 62 70 78 87 94 102 110 117 126
(((((((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) * 2) * 2) div (2 + 1)) + x) + 1)
A099849: 1 2 3 4 5 7 8 9 10 12 13 16 17 19 21 22
((((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) * ((((x + 2) * x) * 2) + 1)) - x) - 1)
A071902: ~1 5 65 306 975 2479 5425 10660 19311 32825 53009 82070 122655 177891 251425 347464
(((((((((x - 2) * x) * (x - 1)) div 2) div ((((2 + 2) * 2) * 2) - 1)) + 1) div 2) + x) + 1)
A039853: 1 2 3 4 5 7 9 12 15 18 23 29 35 43 51 62
(((x div ((x div (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1)) + 2)) + x) + 1)
A076752: 1 2 3 5 5 6 7 10 10 10 11 15 13 14 15 21
((((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (x + 1)) div 2) + 1) div 2) div 2) + x) + 1)
A246084: 1 2 3 4 5 6 7 8 9 10 12 15 18 21 24 28
(((((((((x + 1) div 2) div (2 + 1)) + ((x + 1) * 2)) * ((2 + 2) + 1)) div 2) div 2) + x) + 1)
A189999: 3 7 10 14 17 22 25 29 32 36 39 44 48 51 55 58
(((((((((((x div 2) + x) div (2 + 2)) + ((x + 1) * 2)) * x) div 2) + 1) div 2) div 2) + x) + 1)
A076268: 1 2 4 7 10 14 19 24 30 36 42 50 58 66 76 85
(((((((x * 2) div ((((2 + 2) * 2) * 2) - 1)) * 2) + (((x + 1) div 2) div 2)) * 2) + x) + 1)
A132188: 1 2 3 6 7 8 9 12 17 18 19 22 23 24 25 32
(((((((((x * x) div ((((2 + 2) * 2) * 2) - 1)) + 2) * (2 + 1)) div 2) + x) div 2) + x) + 1)
A295579: 2 4 5 7 9 10 13 15 17 19 22 25 27
(((((((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1)) mod 2) + x) * 2) + x) + 1)
A011990: 1 6 7 12
A287412: 1 6 7 12 13 16 19 22 27 30 31 34 37 40 45 46
(((x mod ((((2 - ((x div 2) mod 2)) * (x + 2)) mod ((x div (2 + 1)) + 1)) + 1)) + 1) * (x + 1))
A131959: 1 2 3 8
A135874: 1 2 3 8 5 6 7 8 27 10 11 24 13 14 15 64
(((x mod (((x mod ((((x mod ((2 + 2) + 1)) + 1) * 2) + 1)) div (2 + 1)) + 1)) + 1) mod (x + 1))
A124010: 0 1 1 2 1 1 1 1 3 2 1 1 1 2 1 1
compr(\x.(x - (((((x * 2) + 1) mod (((2 + 1) * 2) + 1)) * (((2 + 2) * 2) + 1)) - 1)),(x + 1))
A289105: 1 2 4 5 6 7 8 9 11 12 13 15 16 19 20 22
((x - (((((x * x) div (2 + 2)) + ((x * 2) * 2)) mod (((x + 2) + 2) + 1)) - 1)) div (x + 1))
A132976: 1 ~1 0 ~1 0 0 1 0 0 1 0 0 ~1 0 0 0
(((((((2 - ((1 - x) div ((x div (2 + 2)) + 2))) + 2) * 2) + x) div (2 + 1)) + 1) mod (x + 1))
A065860: 0 0 2 1 0 0 0 7 7 8 9 9 9 10 10 10
(((((x div 2) div ((x mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) * 2) + 1) * (x + 1))
A318680: 1 2 9 4 25 18 49 8 27 50 121 36 169 98 225 48
((((((x div (2 + 1)) + 1) div ((x mod (2 - (x mod ((0 - 2) - 1)))) + 1)) mod 2) + 1) mod (x + 1))
A065203: 0 1 1 2 1 1 2 1 2 1 2 2 2 1 2 2
(((((x div ((((((x mod 2) * 2) + 1) * 2) mod ((x div 2) + 1)) + 2)) + 1) div 2) + 1) mod (x + 1))
A066088: 0 1 2 2 2 2 2 2 2 3 2 4 3 2 3 2
compr(\x.((x + 1) mod ((x div (1 - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2)))) + 1)),(x + 1))
A276112: 1 3 5 7 8 11 14 15 17 19 23 24 27 29 31 34
((x * 2) - ((((((((x - ((x div 2) mod 2)) div 2) + x) * (2 + 1)) div 2) * 2) - 1) div (x + 1)))
A013930: 1 2 3 4 5 7 9 11 13 15 17 19 20 23 25 26
((((((((x + 1) mod (2 + 2)) + (x div (2 + 2))) + (x mod (2 + 1))) div 2) div 2) + 1) mod (x + 1))
A087974: 0 1 2 1 1 2 2 1 2 2 2 2 2 2 3 1
((((((((((x * 2) mod ((x div (2 + 2)) + 2)) + 1) * x) div 2) + 1) div 2) * 2) + 1) div (x + 1))
A271592-A204459: 1 0 1 0 1 1 0 1 0 1 0 1 2 1 1 0
(((((((x * 2) mod (((x div (2 + 2)) * 2) - 1)) mod 2) * (2 + 1)) * 2) * (2 + 1)) mod (x + 1))
A344973: 0 0 0 0 0 0 0 0 0 0 0 6 0 4 3 0
(((compr(\x.((x + 1) mod (((((x mod 2) * 2) + x) div ((2 + 2) + 1)) + 1)),x) * 2) + 1) div (x + 1))
A035453: 1 1 1 1 1 1 2 2 3 3 3 3 3 4 5 6
((((x + 1) div ((((((x div 2) - 1) * (x div (2 + 1))) div 2) mod (2 + 1)) + 1)) + 2) div (x + 1))
A251482: 3 2 1 1 1 1 0 0 1 0 1 1 0 0 1 1
((((((((((x div (2 + 1)) + 1) div 2) * x) div ((2 + 2) + 1)) + 1) div 2) + 1) * 2) + (x + 1))
A092860: 3 4 5 6 7 10 11 12 13 16 17 18 19 22 23 28
((((x div 2) div ((x mod (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 1)) + 2) mod (x + 1))
A201443: 0 0 2 3 4 3 5 2 3 2 4
((((((2 - x) mod (((2 + 2) * (2 + 1)) - 1)) mod 2) + (x div ((2 + 2) + 1))) + 2) mod (x + 1))
A124831: 0 1 2 2 3 3 4 3 4 3 5 4 5 4 4 6
compr(\x.(1 - (x mod (((x - ((((((x - 1) div 2) div 2) - 1) div 2) * 2)) mod (2 + 1)) + 2))),(x + 1))
A302403: 2 3 5 7 9 10 11 13 17 19 21 23 25 26 27 29
(((((((((((x + 1) div 2) div 2) div 2) + x) * (2 + 1)) + 2) * 2) + (2 + 1)) * 2) - (x + 1))
A104342: 13 24 35 46 57 68 79
A266912: 13 24 35 46 57 68 79 102 113 124 135 146 157 168 179 202
compr(\x.((((x mod (((((x div 2) mod ((2 + 2) + 1)) + 2) * 2) + 1)) + 1) mod (x + 1)) - 2),(x + 1))
A032907-A032873: 1 2 3 4 5 6 7 8 9 10 11 20 21 22 30 31
compr(\x.(((x + 1) mod (((x div ((((x * x) mod (2 + 1)) + 2) * (2 + 1))) + 1) * 2)) - 2),(x + 1))
A326841-A274222-A219301: 1 2 3 4 5 7 8 9 11 12 13 16 17 19 23 25
(1 - (((x div 2) + 1) mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)))))
A322190: 1 1 1 1 1 1 1 2 2 1 1 4 5 4 1 1
(((((x * x) - 1) mod ((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + 2) * 2)) - 2) div (x + 1))
A077606: 1 ~1 0 0 1 0 0 ~1 0 0 0 0 1 0 0 0
(compr(\x.(1 - (((((x * 2) - (((x div 2) + x) div (2 + 2))) + 1) * 2) mod (2 + 1))),x) mod (x + 1))
A087177: 0 0 1 1 1 1 1 1 2 3 4 5 5 5 5 6
((((x + 1) div ((x mod (((((x - 1) mod ((x mod (2 + 1)) + 1)) + 1) * 2) + 1)) + 1)) + 1) div 2)
A248514: 1 1 1 2 1 3 4 2 1 5 6 3 7 4 2 8
((x - ((x div (((((x + 2) * x) div 2) mod ((x div ((x div (2 + 1)) + 2)) + 1)) + 1)) - 1)) div 2)
A144741: 0 0 0 1 0 2 0 2 2 3 0 4 0 4 4 4
(((((((x * 2) * 2) mod (((2 + 2) * (2 + 1)) + 1)) + 1) mod ((x div (2 + 1)) + 1)) + 1) div 2)
A276007: 0 0 0 1 0 0 0 0 1 2 1 1 0 1 0 2
(((((((x - 1) mod ((x div (2 + 2)) + 2)) * (2 + 1)) - 1) mod ((x div (2 + 1)) + 1)) + 1) div 2)
A089339: 0 0 0 1 1 0 1 1 1 2 1 1 1 0 2 3
((((x + 1) mod (((((x div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2) + 1) * 2) + 1)) + 1) div 2)
A293461: 1 1 0 1 1 0 1 1 0 0 1 1 2 1 0 1
((((x + 1) div (((((((((x div 2) + 1) div 2) * x) div (2 + 1)) div 2) + 1) div 2) + 1)) + 1) div 2)
A271099: 1 1 2 2 3 3 2 2 2 2 1 2 2 2 1 1
((((x + 1) mod (((((2 div (((2 + 1) * 2) - (x div (2 + 1)))) * 2) * 2) * 2) + 1)) + 1) div 2)
A308925: 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 8
((((((((x + 2) mod ((2 + 2) + 1)) * (2 + 1)) mod (x + 1)) div 2) mod ((2 + 2) + 1)) + 1) div 2)
A309416-A296239: 0 0 0 0 1 0 1 1 0 1 2 2 1 0 1 2
(x div ((x div (((x - (x div ((2 - ((x div 2) - ((2 + 2) * 2))) + 1))) mod (2 + 1)) + 1)) + 2))
A192062-A172371: 0 0 1 0 1 1 0 1 1 1 0 1 1 2 2 0
((((((((x + 2) * x) + 2) * ((2 + 2) + 1)) * (((x + 2) * x) + 1)) * (2 + 1)) + 1) * 2)
A069473: 62 602 2702 8162 19502 39962 73502 124802 199262 303002 442862 626402 861902 1158362 1525502 1973762
((((((((2 - (((x div 2) * x) mod 2)) * 2) * (x + 1)) * (x + 1)) div 2) mod (2 + 1)) + 1) + 2)
A291040: 5 5 3 4 5 3 5 4 3 5 5 3 5 5 3 4
((((x - (((x mod ((((1 - x) mod ((x div 2) + 2)) + 2) + 1)) div 2) * 2)) mod (2 + 1)) + 1) + 2)
A052384: 3 4 3 4 4 3 3 4 5 4 5 4 5 4 5 3
((((((x - ((x - ((x div 2) mod (2 + 2))) div ((2 + 2) + 1))) * 2) * 2) div (2 + 1)) + 1) + 2)
A024355: 3 4 5 7 8 9 11 12 12 13 15 15 16 17 19 20
(((2 + 2) + 1) mod ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) * (2 + 1)) - 1) div 2))
A339209: 1 0 1 0 0 1 0 1 0 1 0 0 5 0 1 0
((((((((((((x div 2) * x) div (2 + 1)) + x) div 2) + 1) * x) div 2) div 2) div (2 + 1)) + 1) div 2)
A026928: 0 0 0 0 1 1 2 2 3 4 6 7 10 11 14 16
((((((((x + 2) - (((2 - (x div 2)) div 2) div 2)) + 1) * (x + 2)) div 2) div (2 + 1)) + 1) div 2)
A008757: 1 1 2 3 4 5 7 8 10 12 14 16 19 21 25 28
((((((x * x) * x) * (x * x)) * (x * x)) * (((((2 + 1) * x) + 2) * (2 + 1)) + 1)) div 2)
A229150: 0 8 1600 37179 352256 2031250 8538048 28824005 82837504 210450636 485000000 1032820063 2060328960 3890408054 7009998016 12131015625
((((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x + 2) * (x + 2)) * (2 + 1))) + 1) div 2)
A026055: 6 14 25 40 59 84 114 150 192 242 299 364 437 520 612 714
((((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x + 2) * (x + 2)) * (2 + 1))) - 1) - 2)
A023551: 9 24 46 76 115 164 224 296 381 480 594 724 871 1036 1220 1424
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - 2)) div (2 + 1)) - 1) div 2)
A172971-A172970: ~1 ~1 ~1 ~1 ~1 ~1 ~1 0 0 ~1 ~1 1 2 1 ~1 ~1
(((((x div ((((x * 2) mod (((2 + 1) * 2) + 1)) + 2) + 1)) + 1) div ((x mod 2) + 1)) + 1) div 2)
A109698-A025820: 1 0 1 0 1 0 1 1 1 1 1 1 2 1 3 1
((compr(\x.((x + 1) mod ((x mod ((x div ((x div ((2 + 2) * 2)) + 2)) + 1)) + 1)),(x + 1)) + 1) * 2)
A097619: 4 6 8 12 16 18 20 24 30 32 36 40 42 48 50 52
((((x + 1) div (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) mod 2) + ((x div ((0 - 2) - 1)) mod 2))
A191336: 1 1 2 1 1 0 0 1 2 2 1 0 0 1 2 2
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (0 - 2)) - 1)) div 2))
A173117-A028262: 1 1 1 1 3 1 1 4 4 1 1 5 8 5 1 1
((((((x + 1) div (((x - ((x div 2) mod ((2 + 2) + 1))) mod (2 + 1)) + 1)) + 1) div 2) + 1) div 2)
A337763: 1 1 1 1 1 2 2 1 1 1 2 1 1 4 4 2
((((((x + 1) div ((x mod ((x mod (((x div (2 + 2)) * 2) - 1)) + 2)) + 1)) + 1) div 2) + 1) div 2)
A226378: 1 1 1 1 2 1 2 1 3 2 2 1 4 1 2 2
(((((x + 1) mod (((((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)) * (2 + 1)) + 1)) div 2) + 1) * 2)
A255671: 2 4 2 2 6 2 4 2 2 4 2 2 8 2 4 2
(((x + 1) mod (((((((1 - ((x * x) div 2)) mod (2 + 1)) + x) mod (2 + 1)) + 1) * 2) + 1)) div 2)
A322338: 0 1 1 0 1 0 1 0 2 0 1 0 1 0 0 0
(((((x div 2) div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) * 2) + 1) * 2)
A099985: 2 2 6 2 10 6 14 2 6 10 22 6 26 14 30 2
(((((((x div ((2 + 2) * 2)) + x) + (2 + 2)) * 2) + x) + (x div (((2 + 1) * 2) + 1))) div 2)
A146968: 4 5 7
A219958: 4 5 7 8 10 11 13 15 17 19 20 22 23 25 27 28
(((((((x - 1) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod ((x div (2 + 1)) + 2)) + 1) div 2)
A284593: 1 1 1 1 0 1 2 1 1 2 2 1 0 1 2 3
(((((((((((x div (2 + 1)) * (x div 2)) div 2) + 1) div 2) + 1) - (x mod 2)) + 1) div 2) + 1) div 2)
A282970: 1 0 1 0 1 1 1 1 1 1 2 1 2 2 2 3
(((x mod ((((((x + 1) div ((((x div 2) mod 2) + 2) * 2)) * 2) + 1) mod (x + 1)) + 2)) + 1) div 2)
A078821: 0 1 1 0 2 0 1 1 1 1 0 2 2 2 0 1
(1 - (((x div (((((x * x) mod ((((x mod 2) + 2) * 2) * 2)) + 2) mod (x + 1)) + 2)) + 1) div 2))
A143840: 1 1 0 1 0 0 1 0 0 ~1 0 0 ~1 0 0 0
((((((((x * 2) - (x mod 2)) + 2) * 2) + 1) * ((x div 2) + 1)) * (((x + 1) * 2) + 1)) * 2)
A218327: 30 70 364 540 1386 1794 3480 4216 7030 8190 12420 14100 20034 22330 30256 33264
((((((((((x * x) div (2 + 2)) * (((x + 1) div 2) + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2)
A062890: 0 0 0 0 1 1 1 2 3 4 5 7 8 11 12 16
(((x div ((((((((x + 1) * x) mod ((2 + 2) + 1)) - 1) * 2) mod (x + 1)) + 2) * 2)) + 1) + 2)
A259581: 3 3 3 3 3 3 3 4 4 3 3 4 6 4 3 3
((((((((x - (x div ((1 - ((2 + 2) * 2)) * 2))) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2)
A139542: 1 2 3 4 6 8 10 12 15 18 21 24 28 32 36 42
((((x div ((x div (((x div 2) mod (2 + 1)) + 2)) + 2)) + 1) mod ((((x + 1) div 2) div 2) + 1)) * 2)
A241658: 0 0 0 0 0 0 0 4 0 4 0 6 4 4 6 6
(((((((((((2 - x) + 1) div (2 + 1)) mod (x + 1)) + 2) * (x + 1)) div 2) div 2) div 2) + 1) div 2)
A268084: 0 0 0 1 2 3 4 4 5 6 7 8 10 11 12 14
(((((((((x - (2 mod ((x div (2 + 2)) + 1))) * (x + 2)) div 2) div 2) + 2) div 2) div 2) + 1) + 2)
A120196: 3 3 4 4 5 5 6 7 7 8 9 10 12 13 15 17
((((((((2 + 2) * 2) * 2) * 2) * 2) * (x + 1)) - (x div ((((2 + 2) * 2) * 2) - 1))) - 2)
A103584: 62 126 190 254 318 382 446 510 574 638 702 766 830 894 958 1021
(((((((((((2 + 2) * 2) * 2) * 2) - 1) * x) - 1) * x) div 2) div (((2 + 2) * 2) + 1)) div 2)
A235532: 0 0 3 7 13 21 30 42 54 69 85 103 123 145 168 193
((((((((x + 2) + 2) + 2) * (x + 2)) * (x + 1)) div 2) * ((((x + 2) + 2) + 2) + 1)) div 2)
A104676: 21 84 216 450 825 1386 2184 3276 4725 6600 8976 11934 15561 19950 25200 31416
(((x - ((((x mod ((2 + 2) * 2)) - x) * (((2 + 2) * 2) + 1)) - 1)) * ((2 + 2) + 1)) * 2)
A044835: 10 20 30 40 50 60 70 80 810 820 830 840 850 860 870 880
(((((((((((x + 1) div 2) div 2) + 2) + 2) * 2) - 1) * (x + 1)) div 2) div ((2 + 2) + 1)) + 2)
A334142: 2 3 4 5 6 7 8 10 11 13 14 17 18 20 21 26
((((((2 + 1) * 2) + 1) * (x + 1)) - (x div (((2 + 2) * 2) + 1))) mod (((2 + 2) + 1) * 2))
A237042: 7 4 1 8 5 2 9 6 3 9 6 3 0 7 4 1
(compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1)) mod (((2 + 2) + 1) * 2))
A083786: 4 6 8 9 0 2 4 5 6 8 0 1 2 4 5 6
(((((x + 1) * 2) div (1 - ((2 + 2) * 2))) + ((2 + 2) * (x + 1))) mod (((2 + 2) + 1) * 2))
A071792: 3 7 1 4 8 2 6 9 3 7 0 4 8 2 5 9
(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) - (x - (x mod (((2 + 2) + 1) * 2))))
A103303: 0 1 2 3 4 5 6 7 8 9
A345110-A004086: 0 1 2 3 4 5 6 7 8 9 1 11 21 31 41 51
(((((x mod ((((x * x) div (2 + 2)) mod (x + 1)) + 2)) div 2) + 1) + (x div ((2 + 2) + 1))) div 2)
A318440: 0 0 1 1 1 1 1 1 3 1 1 2 1 1 2 3
(((((((((((x - (x div (0 - 2))) * (x + 2)) div 2) div 2) * 2) + 1) + x) div 2) div 2) + 1) div 2)
A262249: 0 1 1 2 3 4 5 7 9 11 13 15 17 21 23 26
((x div 2) - (1 - (((x div (2 + 2)) - ((((x mod ((2 + 2) + 1)) div 2) + 1) mod (2 + 1))) mod 2)))
A306878: 0 0 0 0 2 1 2 3 3 3 5 5 6 6 7 6
((((((x + 1) div (2 - ((((2 + 2) * 2) * 2) mod ((0 - x) - 1)))) div 2) + 1) * (2 + 1)) div 2)
A346403: 1 1 1 3 1 1 1 4 3 1 1 1 1 1 1 7
(((x - (((x + 1) div (((2 + 1) * 2) + 1)) - (((x + 1) * 2) * (2 + 1)))) * (2 + 1)) div 2)
A189798: 9 19 30 40 51 61 70 81 91 102 112 123 133 142 153 163
(((2 + 1) * 2) - (x - ((((x + 1) div (2 + 1)) - ((1 - (x div (2 + 1))) div (2 + 1))) * 2)))
A106154: 6 5 6 5 4 5 6 5 6 5 4 5 4 3 4 5
(((((((((x + 2) * x) * (x + 1)) div (2 + 1)) + x) * 2) * ((x * 2) + 1)) * (2 + 1)) * 2)
A129027: 0 108 600 1932 4752 9900 18408 31500 50592 77292 113400 160908 222000 299052 394632 511500
(x - ((x - (((((((x * x) + 2) * x) div (((2 + 2) * 2) + 1)) + x) + 1) div (2 + 1))) div 2))
A175864: 0 1 2 3 4 6 8 11 15 20 26 33 41 50 61 73
(1 - ((((0 - (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1))) mod (x + 1)) div (2 + 1)) * 2))
A123562: 1 1 1 1 ~1 1 1 ~3 ~3 1 1 ~5 ~3 ~5 1 1
(((x - ((((x * 2) + 1) div (((2 + 2) * 2) + 1)) - ((2 + 2) * (x + 1)))) * (2 + 1)) div 2)
A330177: 6 13 21 28 34 42 49 57 64 70 78 85 93 99 106 114
(((((((((x + 1) * x) + 1) * ((2 + 2) + 1)) + 1) * (x + 2)) * (x + 1)) div (2 + 1)) * 2)
A167239: 8 64 288 880 2120 4368 8064 13728 21960 33440 48928 69264
((((x - (((x div (2 + 2)) + x) div (0 - 2))) * ((2 + 2) + 1)) + ((x + 1) * (2 + 1))) + 2)
A035338: 5 18 26 39 52 60 73 81 94 107 115 128 141 149 162 170
(((((((((x + 2) * 2) + x) * (((x + 2) * x) + 1)) - 1) * (x + 1)) div 2) div (2 + 1)) * 2)
A215191: 0 18 88 276 664 1366 2512 4264 6800 10330 15080 21308 29288 39326 51744 66896
(((((((((((x + 2) * 2) + x) * x) + 2) * x) * (x + 1)) * (x + 1)) div 2) div (2 + 1)) div 2)
A132122: 0 3 33 164 550 1455 3283 6608 12204 21075 34485 53988 81458 119119 169575 235840
(((((((((((2 + 2) + 1) * x) - 1) * x) * (x + 2)) div 2) * (x + 1)) div 2) div (2 + 1)) div 2)
A002418: 0 1 9 35 95 210 406 714 1170 1815 2695 3861 5369 7280 9660 12580
((((((((((2 + 2) * 2) + x) + 1) * (x + 2)) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) div 2)
A127407: 3 15 44 100 195 343 560 864 1275 1815 2508 3380 4459 5775 7360 9248
(((((((((((x * x) div (2 + 2)) + x) div (2 + 1)) + x) div 2) + x) + 2) * 2) div (2 + 1)) + 2)
A100966: 3 4 5 6 8 9 10 12 14 15 16 18 20 22 24 26
(x - ((((((((x * x) div (x - ((2 - x) div 2))) mod 2) * 2) - 1) - (x mod 2)) * (2 + 1)) div 2))
A105364: 2 1 4 6 3 5 8 10 7 12 9 11 14 16 13 18
((((((x - ((((x mod (((2 + 2) + 1) * 2)) - x) * 2) - 1)) div 2) div 2) + x) * (2 + 1)) * 2)
A061822: 0 6 12 24 30 36 42 54 60 66 102 114 120 126 132 144
(((((((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1)) + 1) * 2) - (x mod (2 + 1))) div 2)
A008681: 1 0 0 1 1 1 2 1 2 3 3 3 5 4 5 7
((((((((x div (2 + 2)) + 1) mod ((x div (2 + 1)) + 1)) div 2) + 1) * 2) - (x mod (2 + 1))) div 2)
A029295: 1 0 0 1 0 0 2 1 0 2 1 1 3 2 2 3
(((((x div (((((2 + 2) * 2) mod ((x div 2) + 1)) + 2) + 2)) + 1) * 2) - (x mod (2 + 1))) div 2)
A029292: 1 0 0 1 0 0 2 1 1 2 1 1 3 2 3 4
(((((((((x * x) - 1) div 2) div ((2 + 2) + 1)) + (((x + 1) div 2) div 2)) + x) div 2) + 1) + 2)
A121603: 2 3 4 5 6 7 8 9 11
A072495: 2 3 4 5 6 7 8 9 11 12 13 16 17 19 21 23
((x div (((x div (2 + 2)) + 2) + 1)) - ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2))
A239287: 0 0 0 1 0 1 1 0 0 1 2 1 0 1 2 2
((x * 2) div ((x div (((((1 - x) div (2 - (x mod ((0 - 2) - 2)))) mod 2) + (x mod 2)) + 1)) + 2))
A187808: 0 1 1 2 1 3 1 2 1 3 2 3 1 4 1 4
(((((((((x * 2) - 1) * x) * 2) * ((2 + 2) + 1)) div (((2 + 1) * 2) + 1)) + x) + 1) div 2)
A293502: 0 1 5 12 22 35 50 69 90 114 141 171 203 239 277 318
((((((((2 + 2) * (x + 1)) * (x + 1)) * (2 + 1)) div (((2 + 1) * 2) + 1)) + x) + 1) div 2)
A194106: 1 4 9 15 23 33 45 58 73 90 109 129 151 175 200 227
((((((((((x mod 2) + (x * 2)) * 2) + x) + 1) * (((2 + 2) * 2) + 1)) div 2) + x) + 1) + 2)
A164135: 7 40 54 87 101 134 148 181 195 228 242 275 289 322 336 369
(((((((((x + 2) * 2) * 2) + 1) * (x + 1)) * (((x + 1) * 2) + 1)) - 1) * (x + 1)) div 2)
A076457: 13 129 534 1510 3435 6783 12124 20124 31545 47245 68178 95394 130039 173355 226680 291448
(((((((((2 + 1) * x) mod (((2 + 1) * 2) + 1)) mod (2 + 1)) + 1) * 2) + 1) mod (x + 1)) div 2)
A025485: 0 0 0 1 1 2 2 1 1 1 3 3 2 2 1 1
((((((((x * x) div ((0 - 2) - 2)) mod ((2 + 2) + 1)) mod (2 + 1)) * 2) + 1) mod (x + 1)) div 2)
A075685: 0 0 0 0 1 0 1 2 1 1 0 1 1 2 1 0
(((((((((x - (x div (2 + 1))) div (2 + 1)) * 2) * 2) div (2 + 1)) * 2) + 1) mod (x + 1)) + 2)
A087418: 2 3 3 3 5 5 5 5 7 7 7 7 7 11 11 11
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((((x + 1) * 2) + 1) * (x + 1)) * 2))
A051941: 6 21 46 82 130 191 266 356 462 585 726 886 1066 1267 1490 1736
(((((((x - 1) mod (((x div ((x mod 2) + 1)) + 2) + 1)) mod 2) - (x mod 2)) + 1) * (x + 1)) div 2)
A341310: 0 0 3 0 5 0 7 0 9 5 11 0 13 7 15 0
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) * 2) - 2) div (x + 1)) + 2)
A275015: 0 1 2 1 3 2 1 3 3 2 1 3 3 3 2 1
(1 - (x div (((((((x mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2) + 2) * 2) mod (x + 1)) + 2)))
A206959: 1 1 1 0 0 ~1 0 1 0 0 0 0 ~1 0 0 ~1
(x div (((((2 + 2) div ((2 - ((x mod ((x div 2) + 1)) div 2)) + 2)) - (x mod 2)) mod (x + 1)) + 2))
A319396: 0 0 0 1 1 2 2 3 2 3 2 3 3 2 2 3
((x - (((x - ((2 - (x div (2 + 1))) mod ((2 + 2) + 1))) mod (2 + 1)) - 1)) + ((x + 1) * 2))
A287436-A026602: 2 4 9 10 15 17 21 23 25 28 33 35 39 41 43 47
(((((((2 + 2) * (2 + 1)) - 1) * x) * (x + 1)) div (((2 + 2) * 2) + 1)) + ((x + 1) * 2))
A194137: 2 6 13 22 34 48 65 84 106 130 156 185 216 250 286 325
((((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) * ((2 + 2) + 1)) + ((x + 1) * 2))
A187975: 12 24 41 53 70 82 94 111 123 140 152 164 181 193 210 222
(((((((x div (2 + 2)) + x) + 1) div 2) + ((x + 1) * 2)) * ((2 + 2) + 1)) - ((x + 1) * 2))
A134862: 8 21 29 42 55 63 76 84 97 110 118 131 144 152 165 173
((2 + 1) - (((1 - ((((((2 + 2) * 2) * (2 + 1)) + (x div 2)) * 2) + x)) * (x + 1)) div 2))
A217235: 27 51 80 107
(((x mod ((((x mod (((((x + 1) div 2) mod (2 + 1)) + 2) * 2)) + 1) mod (x + 1)) + 1)) + 2) div 2)
A274888: 1 1 1 1 1 2 2 1 1 1 2 1 1 1 2 4
((((((((x - (((x div 2) + x) div ((2 + 2) + 1))) div 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2)
A340276: 0 0 1 1 1 2 2 3 4 5 5 7 8 10 11 12
((((((((((x div (2 + 1)) + x) * 2) div ((2 + 2) + 1)) + x) * (x + 1)) div 2) + 1) div 2) div 2)
A239517: 0 0 1 2 4 5 8 10 13 16 20 24 29 33 39 46
((((((((((x mod ((2 + 2) * 2)) + 2) mod (x + 1)) + 2) * (x + 1)) div 2) div 2) + 1) div 2) div 2)
A033102: 0 0 0 1 1 1 1 1 2 3 4 5 6 8 9 11
(((((x - ((0 - ((x - (((x + 1) div 2) mod ((2 + 1) * 2))) div 2)) div 2)) * 2) + 1) * 2) * 2)
A081770: 4 12 20 28 44 52 60 68 76 84 92 116 124 132 140 148
(((((x + 2) - (((((x div (2 + 1)) mod 2) - x) * 2) div (2 + 1))) * ((2 + 2) + 1)) div 2) - 2)
A277555: 3 8 13 15 18 23 28 33 38 40 43 48 53 58 63 65
((((((x - (x div (1 - ((2 + 2) * 2)))) div 2) + ((x + 1) * 2)) * ((2 + 2) + 1)) div 2) div 2)
A189515: 2 6 8 12 15 18 21 25 28 31 35 37 41 43 47 51
(((compr(\x.(2 - (((2 + 1) * x) mod (((2 + 2) * (2 + 1)) + 1))),x) * ((2 + 2) + 1)) div 2) div 2)
A076437: 1 2 3 5 6 7 8 10 12 13 15 17 18 20 21 22
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) * 2) * 2)
A190113: 0 0 0 0 0 0 0 4 4 0 0 8 16 8 0 0
(((((((((((x div (2 + 1)) * x) mod 2) + (x * 2)) + 2) + 2) * (x + 2)) div 2) + 1) div 2) * 2)
A343907: 4 10 16 28 36 52 64 82 100
(x - (((((x * 2) + 1) mod (((((x div ((2 + 2) + 1)) mod 2) * 2) + 1) * (2 + 1))) div 2) * 2))
A167877: 0 1 0 3 4 3 2 1 0 9 10 9 12 13 12 11
((x - ((((x * 2) + 1) mod (((((x div ((2 + 2) + 1)) mod 2) * 2) + 1) * (2 + 1))) div 2)) * 2)
A167878: 0 2 2 6 8 8 8 8 8 18 20 20 24 26 26 26
(((x + 1) div ((((x * x) div (2 - (x mod ((x div ((2 + 2) * 2)) + 1)))) mod (2 + 1)) + 2)) div 2)
A219254: 0 0 0 0 0 1 1 2 1 2 1 2 3 2 1 4
(x - ((((x - ((x div ((((x div (2 + 1)) mod (2 + 1)) + 2) + 1)) * 2)) * (2 + 1)) div 2) div 2))
A333536: 0 1 1 1 3 3 3 4 4 7 7 8 8 8 8 9
(x - ((((((((0 - ((x div (2 + 2)) + 1)) * (x + 1)) div 2) div 2) + 2) * (2 + 1)) div 2) div 2))
A096276: 0 1 2 3 5 6 8 9 12 14 16 17 21 22 24 26
((x + 1) div (((x div (((((x + 2) * (x + 2)) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + 2) * 2))
A143974: 0 0 0 1 1 1 1 2 2 1 1 2 3 2 1 2
(((((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - (((x div (2 + 2)) + 2) mod (2 + 1))) div 2) + 2)
A233420: 1 2 1 2 3 2 3 4 3 1 2 3 2 3 1 2
(((((((x * 2) - ((x + 1) mod (((x div 2) div (2 + 1)) + 1))) * (2 + 1)) + x) + 1) div 2) div 2)
A076355: 0 2 3 5 7 9 10 12 13 16 17 19 20 21 24 25
(((((((((x + 1) * x) * (2 + 1)) + 2) * (2 + 1)) - 1) * (((x + 1) * x) + 1)) div 2) div 2)
A160767: 1 17 103 367 971 2131 4117 7253 11917 18541 27611 39667 55303 75167 99961 130441
((x mod ((((((x mod (((((x mod 2) * 2) + 1) * 2) + 1)) div 2) * 2) + 1) mod (x + 1)) + 2)) div 2)
A304650: 0 0 0 1 0 2 0 0 1 2 0 2 0 2 2 0
((((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) div 2) div 2) * 2)
A109592: 2 6 14 24 36 52 70 90 112 138 166 196 228 262 300 340
(((((((((x + 2) * x) div (((2 + 2) * 2) + 1)) + 2) div (2 + 1)) * (2 + 1)) div 2) + 2) div 2)
A029107: 1 1 1 1 1 1 2 3 3 4 4 4 5 6 7 8
(((x mod ((((((x * x) mod (((x + 2) + 2) + 1)) + 2) * (2 + 1)) mod (x + 1)) + 2)) div 2) + 2)
A252375: 2 2 2 2 2 2 2 2 2 6 2 2 2 8 3 2
(x div (((x mod (((((x - ((x * x) div (2 + 2))) + 2) * (2 + 1)) mod (x + 1)) + 2)) + 2) + 2))
A079066: 0 0 0 0 0 1 1 0 2 1 1 2 0 1 1 2
((((((2 - ((((x * x) * x) mod ((x div 2) + 2)) mod 2)) * (2 + 1)) mod (x + 1)) + 2) div 2) * 2)
A330772: 2 2 2 4 2 4 4 4 8 4 8 4 8 4 8 8
((((x * x) mod (((2 - (x mod (((x - 1) mod (((2 + 2) * 2) + 1)) + 1))) + 2) + 2)) + 2) div 2)
A107335: 1 1 3 2 3 1 1 1 3 2 3 1 1 3 1 1
((((((x - (((x - (((x div 2) - 1) div 2)) div 2) * 2)) + 1) * ((x + 1) div 2)) div 2) div 2) div 2)
A098822: 0 0 0 0 0 0 1 1 1 1 1 3 2 3 4 4
(x div (((x + 1) div (((x mod ((x mod (2 - ((x div (2 + 2)) div (0 - 2)))) + 2)) + 2) * 2)) + 2))
A232194: 0 0 1 1 2 1 2 2 2 3 3 3 2 3 4 2
(((((x div (((2 + 2) * 2) + 1)) - (x mod (x - ((x - 1) mod ((2 + 2) * 2))))) * 2) * 2) * 2)
A055959: 0 0 0 0 0 0 0 0 0 8 0 ~8 ~16 ~24 ~32 ~40
(((((x - ((2 - ((x div 2) mod ((2 + 2) + 1))) * ((2 + 2) + 1))) mod (x + 2)) div 2) + 2) div 2)
A037162: 1 1 1 1 2 2 1 1 3 3 1 1 2 3 4 4
((((((((((((x + 2) * 2) * 2) * 2) + x) * (2 + 1)) + x) + 1) * (x + 2)) div 2) div 2) div 2)
A126195: 12 28 52 83 120
(((((((x mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1)) * (2 + 1)) + x) div 2) + 2) div 2)
A061499: 1 2 3 4 5 6 7 8 9 3 3 4 5 6 7 8
((((((((x + 2) * x) + 2) div (1 - (x - (((2 + 2) * 2) * (2 + 1))))) + x) + 2) + 2) + 2)
A120191: 6 7 8 9 11 12 14 16 18 21 24 27 31 35 40 46
(((((((((x * x) div ((((2 + 1) * 2) + 1) * 2)) + x) div 2) * (2 + 1)) - x) div 2) + 2) div 2)
A320614: 1 0 1 1 1 2 2 3 3 4 4 5 6 6 8 8
(((((((((((x - 1) mod ((x div 2) + 2)) div 2) + 2) * 2) + x) div (2 + 1)) + x) + 2) + 2) + 2)
A125134: 7 8 10 12 13 14 15 16 18 20 21 22 24 26 27 28
((((((((x div ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) * 2) + x) + 1) + x) + 2) * 2) * 2)
A255136: 12 28 36 44 52 68 76 84 92 100 116 124 132 140 148 156
((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * 2)
A028326: 2 2 2 2 4 2 2 6 6 2 2 8 12 8 2 2
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2))
A113245-A109128: 1 1 1 1 3 1 1 5 5 1 1 7 11 7 1 1
(1 - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (x + 1)) * (x + 2)) div 2) div 2))
A049687: 0 1 1 1 3 1 1 4 4 1 1 5 5 5 1 1
(2 - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div (x + 1)) * (x + 2)) div 2) div 2))
A049627: 1 2 2 2 4 2 2 5 5 2 2 6 6 6 2 2
(((((x mod (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) * 2)) + 1) mod (x + 1)) + 1) mod (2 + 2))
A330466: 1 1 1 1 2 1 0 1 2 1 0 1 2 1 0 3
(((((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod (x + 1)) div 2) + 1) mod (2 + 2))
A211313: 1 1 1 1 3 1 1 0 0 1 1 2 3 2 1 1
((1 - ((x - (x mod ((((x - (x div (2 + 1))) mod (2 + 1)) * 2) + 1))) mod (2 + 1))) mod (2 + 2))
A143333: 1 1 1 1 0 1 1 3 3 1 1 0 0 0 1 1
((((((((((x * 2) + 1) * x) div (2 + 1)) mod (2 + 1)) * 2) + 1) - (x mod 2)) - 1) mod (2 + 2))
A221168: 0 1 0 1 0 3 0 3 0 3 2 3 2 3 0 3
((1 - (((x mod ((((x - 1) * x) mod (((x div (2 + 2)) + 2) + 2)) + 1)) + 1) div 2)) mod (2 + 2))
A103306: 1 1 0 1 0 1 1 0 0 1 1 0 2 0 1 1
(((((((((x + 1) * x) div (2 + 2)) * (((x + 1) * x) + 1)) div (2 + 1)) + 1) + x) + 2) + 2)
A066901: 5 6 9 21 44
(x - (x mod (1 - ((((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) + x) div 2) * 2))))
A206914-A175298: 0 1 3 3 5 5 7 7 9 9 15 15 15 15 15 15
(((((((((((x div 2) + 1) div (2 + 1)) mod 2) + (x * 2)) + 1) * 2) div (2 + 1)) + x) + 2) + 2)
A025054: 4 7 9 11 14 17 19 21 24 26 28 30 32 35 37 39
((((((((x - ((1 - x) * (2 + 2))) * x) * ((x * 2) + 1)) div 2) div (2 + 1)) + x) div 2) div 2)
A212068: 0 0 3 10 25 49 86 137 206 294 405 540 703 895 1120 1379
((((((((((((x * 2) * 2) + 1) * 2) * 2) + x) * (x + 2)) div 2) div (2 + 1)) + x) div 2) + 2)
A194112: 2 7 15 26 40 56 75 97 122 150 181 214 250 289 331 376
((((((x div (((x div ((x mod ((x mod 2) + 2)) + 2)) mod 2) + 2)) + x) div (2 + 1)) + x) + 2) + 2)
A272054: 4 5 6 8 10 11 12 14 16 17 18 20 22 23 24 25
((x - ((((x - (((x - 1) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1))) div 2) - x) * 2)) + 2)
A055938: 2 5 6 9 12 13 14 17 20 21 24 27 28 29 30 33
((((((((x div ((((2 + 2) * 2) - (x div 2)) + 1)) + x) + 2) * (2 + 1)) div 2) + x) + 2) div 2)
A229992: 2 3 5 6 7 8 10 12 13 14 16 17 20 21 25 26
((((((((((((x * x) div 2) + 2) div (x + 2)) + x) + x) * (2 + 1)) div 2) div 2) + x) + 2) + 2)
A191407: 4 6 9 12 14 18 20 23 26 28 32 34 37 40 43 46
((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((((x * x) + 1) div 2) * (x + 2)) div 2))
A212970: 0 2 8 22 44 80 128 196 280 390 520 682 868 1092 1344 1640
(compr(\x.((x + 1) mod ((x mod ((x div ((x mod ((((x mod 2) * 2) + 1) * 2)) + 2)) + 1)) + 1)),x) + 2)
A000430: 2 3 4 5 7 9 11 13 17 19 23 25 29 31 37 41
(((((((x mod ((x div 2) - (((x div 2) + 1) mod (2 + 1)))) div 2) + 2) mod (2 + 2)) + 1) + x) - 2)
A290492: 1 2 3 4 5 6 7 8 9 10 11 12 14
A191431: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 13 16
((((((((((x + 2) + 2) * x) * ((x * 2) - 1)) div 2) div (2 + 1)) + x) div (2 + 1)) + x) div 2)
A025196: 0 0 2 4 8 14 22 32 45 61 80 103 130 162 198 239
((((((((((((2 + 2) * 2) + x) * x) * (x + 1)) div (2 + 1)) + 1) + x) * 2) + 1) + x) * 2)
A207106: 6 36 98 200 350 556 826 1168 1590 2100 2706 3416 4238 5180 6250 7456
((((((((x div (2 + 2)) + x) + ((2 + 2) * (x + 1))) * (2 + 1)) + x) div (x + 1)) + x) * 2)
A048260: 24 30 32 36 38 40 42 44 48 50 52 54 56 58 60 62
((((((((x * 2) - (x mod 2)) * ((x div 2) + 1)) mod (((2 + 1) * 2) + 1)) + 1) div 2) + x) div 2)
A194817: 0 1 1 2 3 4 4 4 5 5 5 5 6 6 7 8
((((((((2 mod ((x div (2 + 2)) + 1)) + x) + 1) mod (((2 + 2) * 2) + 1)) + 1) div 2) + x) div 2)
A337774: 0 1 2 2 3 4 5 5 4 5 6 7 7 8 9 7
((((((((((x * x) * x) div (((2 + 2) * 2) + 1)) + x) + 2) div (2 + 1)) + 1) div 2) + x) div 2)
A062188: 0 1 1 2 3 4 5 7 9 12 15 19 23 28 33 40
(((((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2) * (2 + 1)) div 2) + x) + 2)
A161827: 5 7 10 11 13 14 17 18 19 21 22 23 26 27 28 29
(((((((x - ((x * x) div (((x + 2) + 2) + 2))) + 2) * ((2 + 2) + 1)) div 2) div 2) + x) - 2)
A090946: 0 2 5 6 8 9 10 12 13 14 15 16 17 19 20 21
((((((x - ((((x div ((2 + 2) + 1)) - x) * 2) div (2 + 1))) * (2 + 1)) div 2) div 2) + x) + 2)
A187838: 2 4 7 8 11 13 15 17 19 22 24 25 28 30 32 34
((((((((2 + 1) * x) - ((1 - x) div ((x div (2 + 2)) + 2))) * (2 + 1)) div 2) div 2) + x) + 2)
A184926: 2 5 9 12 15 19 23 26 29 32 36 40 43 46 49 53
(((((((1 - ((1 - x) div (((2 + 1) * 2) + 1))) * ((2 + 2) + 1)) div 2) + 2) + 2) + x) + 2)
A079525: 8 9 13 14 15 16 17 18 19 22
(((((((x * x) - (((((x + 2) * x) div ((2 + 2) + 1)) + x) + 1)) div 2) div 2) div 2) + x) + 2)
A331903: 1 2 4 5 6 8 10 12 14 17 20 23 26 29 33 36
((((((((((((x * x) + 2) * x) * (x + 1)) div 2) div (2 + 1)) + x) + 1) * x) + 2) * x) + 2)
A131682: 2 7 42 242 1050 3537 9842 23732 51282 101675 188122 328902 548522 878997 1361250 2046632
(x - ((((((((((((2 - x) * x) div (2 + 2)) * x) div 2) div 2) div 2) div 2) + x) div 2) + x) div 2))
A096792: 0 1 1 1 2 2 3 3 4 5 6 8 9 11 13 16
((((((((((((x * x) * x) * (x * x)) + 1) * x) * (x * x)) div 2) + 2) * x) + 2) * x) * 2)
A054609: 0 10 1080 59340 1049680 9768870 60474120 282492280 1073774880 3486843810 10000100440 25937586180 61917613680 137858863870 289255193640 576651150960
((((((((x + 2) + 2) * x) * ((2 + 2) + 1)) + 1) * (x + 1)) div 2) div (((x + 2) * x) + 2))
A182617: 0 5 9 12 15 18 21 23 26 29 31 34 36 39 41 44
(((compr(\x.(1 - (x mod (((x - (x div ((0 - 2) - 2))) mod (2 + 1)) + 1))),x) * 2) + 1) div (x + 2))
A316844: 1 2 2 2 3 3 3 3 3 4 4 4 4 3 4 4
(((((((x * x) - 1) * x) * (x - 1)) div 2) div (2 + 1)) + ((((x + 1) * x) + 2) * (x + 2)))
A225894: 4 12 33 78 162 304 527 858 1328 1972 2829 3942 5358 7128 9307 11954
((((((x * 2) mod (((x div 2) + 2) + 2)) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1) + (x * 2))
A131628: 1 3 5 7 9 12 13
A191749: 1 3 5 7 9 12 13 16 18 20 21 25 27 28 30 32
((((1 - ((x + 1) mod (((x - 1) mod ((x div (2 + 1)) + 1)) + 1))) mod (2 + 1)) + 1) + (x * 2))
A189010: 2 4 6 8 9 12 13 16 17 20 21 24 25 29 30 31
((((1 - ((x + 1) mod (1 - ((1 - x) div ((x div (2 + 1)) + 2))))) mod (2 + 1)) + 1) + (x * 2))
A189205: 2 4 5 8 9 12 13 17 18 19 23 24 25 29 30 31
((((((((2 - (x mod (((1 - x) div 2) - 1))) + x) + x) + 2) * 2) div (2 + 1)) - 1) + (x * 2))
A287114: 1 5 8 12 16 19 23 25 29 32 36 39 43 45 49 52
(((((((x * 2) + 1) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) div ((2 + 2) + 1)) + (x * 2))
A161569: 0 2 5 9 13 17 22 28 34 40 47 55 63 71 80 89
(((((x mod ((x mod (((x div ((2 + 2) + 1)) + 1) * 2)) + 1)) + 1) mod (x + 1)) + 1) + (x mod 2))
A306652: 1 2 2 4 2 4 2 6 2 4 2 8 2 4 4 10
(((((((x - 1) div 2) mod (0 - (((x div (2 + 2)) + 2) + 2))) mod (2 + 1)) div 2) + 1) + (x mod 2))
A230259: 2 2 1 2 2 2 1 2 1 2 1 3 1 3 2 2
(1 - ((((1 - (((x div ((2 + 2) + 1)) mod 2) * 2)) * ((x div (0 - 2)) mod 2)) * 2) + (x mod 2)))
A065364: 1 ~2 ~1 0 1 2 3 0 1 2 ~1 0 1 ~2 ~1 0
(((((((((((((x div 2) * x) div (2 + 2)) + 1) * x) div 2) * x) + 1) * 2) + 1) + x) + x) + 2)
A336581: 5 7 13 17 61
(((((((((x * 2) * 2) - (((x div 2) * (x + 1)) mod 2)) + 1) * 2) div (2 + 1)) + x) + x) + 2)
A190518: 2 7 11 16 21 26 30 35 40 44 48 54 58 63 67 72
compr(\x.(((((x + 1) div ((((x div 2) mod ((2 + 2) + 1)) + 2) * (2 + 1))) + 1) mod (2 + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A247753: 0 1 2 3 4 5 6 7 8 9 11 20 21 22 23 24
(((((((x * x) div (((((x div 2) div (2 + 1)) * 2) + x) + 1)) + 2) * 2) div (2 + 1)) + 1) + x)
A024609: 2 3 5 6 8 10 11 12 13 15 17 18 19 21 23 24
compr(\x.(((((x - (x div (((2 + 1) * 2) + 1))) mod (((2 + 1) * 2) + 1)) + 1) mod (x + 1)) - 1),x)
A048304: 0 1 2 3 4 5 6 8 16 24 32 40 48 49 57 65
compr(\x.((((x + 1) mod ((((x mod ((1 - ((2 + 2) * 2)) * (2 + 1))) div 2) * 2) + 1)) div 2) + 1),x)
A330982: 1 2 3 4 5 6 7 8 9 11 12 14 15 16 18 22
((((((x div ((((2 + 2) * 2) - (x div 2)) * (2 + 1))) * (x + 1)) div (2 + 1)) div 2) + 1) + x)
A180648: 1 2 3 4 5 6 7 8 9 10 12 14 17 18 25 29
(((x div ((((((x div 2) - ((x div (2 + 2)) mod 2)) mod (2 + 1)) + 1) mod (x + 1)) + 2)) + 1) + x)
A176253: 1 2 3 4 6 7 8 9 11 12 13 14 15 16 19 21
compr(\x.(x mod (((((((((2 + 2) * 2) * 2) - x) + 1) mod ((x div (2 + 1)) + 1)) div 2) * 2) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A171827: 0 1 2 3 4 5 6 7 8 9 12 15 16 17 20 24
(((((((((x * 2) div (((2 + 1) * 2) + 1)) * (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) + x)
A230998: 1 2 3 4 8 9 10 13 14 15 16 19 20 21 24 25
(((((compr(\x.((((((x div 2) + 1) div 2) * (x div 2)) div 2) mod (2 + 1)),x) + 1) div 2) div 2) + 1) + x)
A085921-A005243: 1 2 3 5 6 8 10 11 14 16 17 18 19 21 22 24
(((((((x mod (2 - (x - (x mod (((2 + 2) + 1) * 2))))) * 2) mod (x + 1)) div 2) div 2) + 1) + x)
A110029: 1 2 3 4 5 6 7 8 9 10 13 12 14 16 17 19
((((x - ((((((x * 2) div ((x div (2 + 2)) + 1)) + 1) * (2 + 1)) div 2) div 2)) div 2) + 1) + x)
A341534: 1 1 2 3 5 6 7 8 11 12 13 14 16 18 19 20
compr(\x.(2 - ((x * x) div (1 - (x - ((x mod (((2 + 2) + 1) * 2)) * (((2 + 2) * 2) + 1)))))),x)
A297272-A297146-A296713-A071589: 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 34
(((((x mod (((2 + 2) * 2) + 1)) - x) mod ((((2 + 2) + 1) * 2) * 2)) * ((2 + 2) + 1)) + x)
A004859: 0 1 2 3 4 5 6 7 8 64 65 66 67 68 69 70
(((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((x - 1) * x) * ((2 + 2) + 1))) - x)
A266398: 0 0 12 37 76 130 200 287 392 516 660 825 1012 1222 1456 1715
((((((x - (((2 - x) * (x div 2)) div ((2 + 2) * 2))) div 2) div 2) + ((x * 2) * 2)) + 1) + x)
A315519: 1 6 11 17 22 27 33 38 43 49 54 60 66 71 77 82
compr(\x.(((((((x * 2) - (x mod (((2 + 1) * 2) + 1))) * 2) * 2) div (2 + 1)) + 1) mod (2 + 1)),x)
A283769: 2 4 6 8 13 15 17 19 21 26 28 30 32 39 41 43
compr(\x.(1 - ((((((x * x) * x) mod (((2 + 2) * (2 + 1)) + 1)) + 1) * (x + 1)) mod (2 + 1))),x)
A010376: 0 1 3 4 9 10 12
A010400: 0 1 3 4 9 10 12 13 16 22 25 27 30 36
A010439: 0 1 3 4 9 10 12 13 16 22 25 27 30 36 39 40
((((((((x mod 2) + (x * 2)) + (x mod ((0 - 2) - 1))) + 1) * (x + 1)) div 2) div (2 + 1)) + x)
A010390: 0 1 4 8 9 16 21 25
(((((((x + 1) * 2) - (((x mod 2) - (x div ((2 + 2) + 1))) div 2)) + 2) * 2) div (2 + 1)) + x)
A029901: 2 5 7 9 12 14 17 19 22 23 26 29 31 33 36 38
(((((((x - ((((x div 2) div (2 + 1)) * (2 + 1)) div 2)) div 2) + x) + 2) * 2) * (2 + 1)) + x)
A136770: 12 19 32 39 52 59 66 79 86 99 106 119 120 133 140 153
((compr(\x.(((1 - (((x * x) * 2) div ((((x + 2) + 2) + 2) + 1))) mod (2 + 1)) - 1),x) + 1) - x)
A078474: 1 1 1 1 2 3 4 5 5 5 5 6 6 6 6 7
((compr(\x.(((((((((x div 2) * x) mod 2) + x) div (2 + 1)) + x) * 2) mod (2 + 1)) - 1),x) + 1) - x)
A285764: 1 2 3 3 3 3 4 5 6 6 6 6 7 8 9 10
((((x div ((x mod (((((2 + 1) * x) mod ((x div 2) + 2)) div 2) + 1)) + 1)) + 2) mod (x + 1)) + x)
A334023: 0 2 3 4 5 9 7 8 9 15 11 16 13 21 20 16
compr(\x.((((1 - (x mod (x - ((x - 1) mod ((2 + 2) * 2))))) mod ((x div (2 + 1)) + 1)) + 1) mod 2),x)
A154660: 3 4 5 6 7 8
A026458: 3 4 5 6 7 8 9 11 12 14 15 17 20 21 23 24
(((((((((((x mod 2) + x) div ((2 + 2) + 1)) + 2) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + x)
A196277: 1 2 3 4 6 8 9 10 12 14 16 17 19 20 22 25
((((x + 1) mod (((((x div (((((2 + 2) * 2) * 2) - x) * 2)) * 2) * 2) * 2) + 1)) div 2) + x)
A103303: 0 1 2 3 4 5 6 7 8 9
A281943-A215009: 0 1 2 3 4 5 6 7 8 9 10 12 14 20 21 23
compr(\x.(((((x * 2) + 1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)) mod ((2 + 2) + 1)) * 2),x)
A190486: 2 7 12 14 19 24 31 36 41 43 48 53 60 65 70 72
(((((((((x * 2) - (x mod 2)) + 1) * 2) + 1) + ((x div 2) mod 2)) * ((2 + 2) + 1)) div 2) + x)
A026318: 7 13 32 38 51 57 76 82 95 101 120 126 139 145 164 170
(((((((((((x div 2) + 1) div (2 + 1)) * (x + 1)) div 2) div 2) + 1) div 2) * (2 + 1)) div 2) + x)
A268231: 0 1 2 3 5 6 7 8 9 10 14 15 16 19 20 21
compr(\x.(((((((0 - 2) - 2) * (x + 1)) mod ((((2 + 2) * 2) * 2) + 1)) + 2) div (2 + 1)) mod 2),x)
A190764: 2 5 6 9 12 13 15 16 19 22 23 26 29 30 32 33
compr(\x.((((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1)) div 2) mod 2),x)
A233524: 0 1 2 4 5 8
A010443-A010402: 0 1 2 4 5 8 9 10 16 18 20 21 23 25 31 32
compr(\x.(((compr(\x.(2 - (x mod ((((((x mod 2) * 2) * 2) + 1) * 2) + 1))),x) * (2 + 1)) div 2) mod 2),x)
A152520: 1 3 4 8 10 11
A327185: 1 3 4 8 10 11 15 17 18 19 22 24 25 26 29 31
compr(\x.((x - ((((x - ((x * 2) div ((2 + 2) + 1))) * (((2 + 1) * 2) + 1)) div 2) div 2)) + 2),x)
A162918: 12 17 19 22 24 26 27 29 31 32 33 34 36 37 38 39
(((2 - ((((((x * x) div ((((2 + 2) * 2) * 2) * 2)) + 2) * (2 + 1)) div 2) div 2)) + 2) + x)
A154660: 3 4 5 6 7 8
A009041: 3 4 5 6 7 8 8 9 9 10 11 12 12 12 12 13
compr(\x.(((((((((x div ((2 + 2) * 2)) + x) div 2) + x) * ((2 + 2) + 1)) div 2) + 2) div 2) mod 2),x)
A102701: 1 2 3 4 6 8 9 11 13 16 18 23
(((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) + (x div ((2 + 2) * 2))) + x)
A138083: 0 1 2 4 5 6
A129132: 0 1 2 4 5 6 7 10 12 13 14 16 17 18 19 23
(((1 - x) div ((((((((1 - x) mod (2 + 1)) + x) * (2 + 1)) div 2) div 2) + 1) + (x mod 2))) + x)
A128557: 1 1 1 2 3 4 5 6 7 8 8 10 10 11 13 14
(((((((((((x + 2) div ((2 + 2) + 1)) * (x - 1)) div 2) div 2) + 1) div 2) * 2) + 1) + x) + x)
A307001: 1 3 5 7 9 13 15 17 21 23 25 29 31 37 39 41
((((x - ((x - (((x * 2) * (2 + 1)) * (((x + 1) * 2) + 1))) * 2)) * 2) + 1) + (x * x))
A118058: 1 120 337 652 1065 1576 2185 2892 3697 4600 5601 6700 7897 9192 10585 12076
loop(\(x,i).((if (if x <= 0 then 1 else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)) <= 0 then (x + 1) else x) + x),x,1)
A125050: 1 2 4 9 19 38 77 155 311 622 1245 2491 4983 9967 19934 39869
(loop(\(x,i).(x - (if x <= 0 then 1 else (x - (if x <= 0 then 1 else loop(\(x,i).(if (i * x) <= 0 then 1 else (x - 1)),i,x))))),x,x) + x)
A140358: 0 1 3 2 3 5 3 5 4 5 4 5 7 5 7 5
(if (x mod (2 + 1)) <= 0 then (if x <= 0 then 1 else loop(\(x,i).(if (x mod 2) <= 0 then x else ((x mod 2) + 2)),(x mod 2),(x div 2))) else 0)
A160540: 1 0 0 3
A341794: 1 0 0 3 0 0 3 0 0 4 0 0 6 0 0 3
((x + 1) div ((if x <= 0 then 0 else loop(\(x,i).((x + 1) * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1)) + 1))
A202452: 1 1 0 2 1 0 3 1 0 0 5 2 1 0 0 8
(((loop(\(x,i).(x * x),1,loop(\(x,i).(loop(\(x,i).loop(\(x,i).((i * i) * x),i,x),i,1) + x),x,1)) + 1) div 2) + 1)
A254380: 2 3 19 11251
(((if x <= 0 then 2 else loop(\(x,i).(if x <= 0 then 2 else (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2)),2,x)) * 2) mod (2 + 1))
A035144: 1 1 0 1 2 0 0 1 1 2 2 0 0 0 0 1
(if x <= 0 then 1 else loop(\(x,i).((x - 1) * x),1,(2 - (if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1))))
A167356: 1 0 0 0 6 0 20 0 0 0 72 0 110 0 0 0
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).(x mod 2),(x mod 2),(x div 2)))),x,x) + x),x,((x mod 2) + 1))
A087756: 1 3 3 5 5 15 15 17 17 51 51 85 85 255 255 257
((compr(\x.loop(\(x,i).(if x <= 0 then 1 else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) - 1))),2,x),x) * 2) - 1)
A307390: 5 11 13 17 23 29 41 43 47 53 59 61 67 71 73 83
((x + 1) mod (loop(\(x,i).(if x <= 0 then 0 else ((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * 2) + 1)),2,x) + 1))
A068494: 0 0 1 0 1 0 1 0 3 2 1 0 1 2 7 0
(loop(\(x,i).(1 - loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 1 else 2)),x,x),1,(x * 2))),x,1) div (x + 1))
A128023: 1 1 1 2 3 5 9 16 28 51 92 169 312 580 1082 2029
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)) - x),x,1)
A275822: 1 7 209 7791 335209 15667799 773221225 39651016343 2092095886657 112840936041343 6193764391911873 344853399798469695 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).(if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),2,x) + 2)),2,x),x) + 1)
A238246: 3 5 6 7 9 10 12 13 14 15 17 18 20 24 25 26
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + (i * x)),i,1) + (i * x)),i,1) + (i * x)),x,1)
A082031: 1 5 28 176 1240 9752 85120 819296 8639872 99209600 1233416704 16517058560 237137769472 3634932675584 59263206154240 1024222802014208
loop(\(x,i).loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),i,x),i,x),x,1)
A066120: 1 2 24 8640 653184000 114069441024000000 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(if x <= 0 then 1 else ((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) * x)),2,x) + 1),x,0) div 2)
A094027: 0 1 100 101 10100 10101 1010100 1010101 101010100 101010101 10101010100 10101010101 1010101010100 1010101010101 101010101010100 101010101010101
(loop(\(x,i).loop(\(x,i).loop(\(x,i).(loop(\(x,i).((i * x) + 1),i,1) - (i * x)),x,1),1,(x + 1)),1,(x + 1)) div 2)
A114633: 1 3 18 70 555 2961 31108 213228 2799765 23455135 369569046 3659001138 67261566463 768390239085 16142775951240 209002145031256
loop(\(x,i).(x * x),1,loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else (i - (x mod 2)))),x,x)),1,((x + 1) * 2)))
A152205: 1 4 9 1 16 4 25 9 1 36 16 4 49 25 9 1
loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,(x + 1)),x,((x + 1) * 2))
A120303: 2 5 7 7 11 13 13 17 19 19 23 23 23 29 31 31
((compr(\x.loop(\(x,i).(if x <= 0 then 1 else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) - 1))),2,x),x) - 1) * 2)
A109274: 4 10 12 16 22 28 40 42 46 52 58 60 66 70 72 82
(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((if (2 - x) <= 0 then x else 0) + 1)))),x,(x + 1)) + x)
A135523: 1 2 0 3 0 1 0 4 0 1 0 2 0 1 0 5
(loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).(2 - ((if x <= 0 then 1 else x) mod 2)),(x mod 2),(x div 2)))),x,(x + 1)) + x)
A300118: 1 2 3 3 4 4 5 4 6 5 6 5 7 6 7 5
loop(\(x,i).loop(\(x,i).(x * 2),x,x),1,(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x))
A183037: 2 8 2 24 2 8 2 64 2 8 2 24 2 8 2 160
(loop(\(x,i).((if (x - 2) <= 0 then 0 else loop(\(x,i).loop(\(x,i).(i * x),(x - 2),x),1,(x - 1))) * x),1,(x - 1)) * x)
A052759: 0 0 0 0 24 60 240 1260 8064 60480 518400 4989600 53222400 622702080 7925299200 108972864000
compr(\x.(0 - loop(\(x,i).loop(\(x,i).loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),1,(x + 1)),2,x)),x)
A116958: 0 3 6 12 18 27 33 48 51 66 72 87 93 96 111 117
(loop(\(x,i).(x - (if x <= 0 then 1 else (loop(\(x,i).(x - (if (x mod ((i + 1) * 2)) <= 0 then 1 else 0)),x,i) + 1))),x,x) + x)
A229878: 0 0 1 0 1 2
A336684: 0 0 1 0 1 2 0 1 2 3 1 2 3 4 0 1
compr(\x.(loop(\(x,i).loop(\(x,i).(if x <= 0 then (2 + 1) else (loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2)),2,x),2,x) * x),x)
A084561-A084345: 0 1 2 4 8 15 16 23 27 29 30 32 39 43 45 46
compr(\x.loop(\(x,i).loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),x,(x + 1)),1,(x * x)),x)
A235331: 1 2 4 5 7 8 9 10 11 14 16 17 18 19 20 22
loop(\(x,i).(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) + x),(x + 1),0)
A122102: 16 97 722 3123 17764 46325 129846 260167 540008 1247289 2170810 4044971 6870732 10289533 15169214 23059695
loop(\(x,i).(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) + x),(x + 1),0)
A133547: 9 34 83 204 373 662 1023 1552 2393 3354 4723 6404 8253 10462 13271 16752
loop(\(x,i).(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) + x),(x + 1),0)
A133549: 81 706 3107 17748 46309 129830 260151 539992 1247273 2170794 4044955 6870716 10289517 15169198 23059679 35177040
loop(\(x,i).(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),i) + x),(x + 1),0)
A086167: 3 8 19 36 65 106 165 236 337 444 581 730 909 1100 1297 1524
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).((x * 2) + 1),x,0))
A090020: 0 1 13 91 529 2851 14833 75811 383809 1932931 9705553 48648931 243605089 1219100611 6098716273 30503196451
(loop(\(x,i).(((x * 2) + 1) * x),1,loop(\(x,i).((x * 2) + 1),x,0)) * loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A160875: 0 3 84 1365 18600
loop(\(x,i).((x + 1) * (2 + 1)),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),0)
A085296: 3 12 3 39 3 12 3 120 3 12 3 39 3 12 3 363
loop(\(x,i).loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i - 1),1) + x),(i - 1),x),x,0)
A143954: 0 0 1 5 19 68 243 880 3233 12021 45119 170595 648787 2479057 9509627 36598497
loop(\(x,i).((x * 2) * 2),(x - 1),loop(\(x,i).(loop(\(x,i).((i * i) * x),(i - 1),1) + ((i * i) * x)),x,0))
A002455: 0 1 20 784 52480 5395456 791691264 157294854144 40683662475264 13288048674471936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then (x * 2) else (loop(\(x,i).(x * 2),((loop(\(x,i).((x - (i mod 2)) * 2),x,2) div (2 + 1)) + 1),1) - 1))
A222010: 0 1 3 7
A277028: 0 1 3 7 31 255 32767
(loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),1,(((x * 2) * (2 + 1)) + 1)) - 1)
A141515: 1 6 12 18 22 30 36 42 46 52 60 66 72 78 82 88
(loop(\(x,i).(x * 2),x,(((loop(\(x,i).((2 + 1) * x),x,2) + loop(\(x,i).(x * 2),x,1)) + 1) * (2 + 1))) + 1)
A290396: 13 55 277 1513 8593 49825 292417 1729153 10275073 61254145 365945857 2189371393 13111037953 78565515265 470990340097 2824331231233
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 2) * (2 + 1)) else 1)
A040749: 27 1 6 1 54 1 6 1 54 1 6 1 54 1 6 1
(if (x mod 2) <= 0 then ((((if (x mod (2 + 2)) <= 0 then ((2 + 2) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) * (2 + 1)) else 1)
A040752: 27 1 12 1 54 1 12 1 54 1 12 1 54 1 12 1
(if x <= 0 then 1 else (loop(\(x,i).(x * 2),x,(if (x mod (((2 + 1) * 2) + 1)) <= 0 then 2 else 1)) mod ((x div (2 + 1)) + 1)))
A017848: 1 0 0 0 0 0 1 1 1 0 0 0 1 2 3 2
((x - 1) mod (if (x mod 2) <= 0 then (((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1) + (if (2 - x) <= 0 then 2 else 1)) else 1))
A003966: 1 0 1 0 3 0 5 0 2 0 9 0 11 0 3 0
(if (x * 2) <= 0 then x else (loop(\(x,i).(i * x),((((x div 2) * (x div 2)) div 2) + (if x <= 0 then 1 else (x * 2))),1) + 1))
A062411: 0 3 25 721 3628801 479001601 20922789888001 6402373705728001 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),i,1) + x),((x * 2) + 1),1)
A274104: 2 7 23 78 274 988 3628 13495 50675 191673 729145 2786655 10691111 41150011 158825371 614483086
(loop(\(x,i).(loop(\(x,i).(i * x),x,1) + x),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1)) + 1)
A100856: 3 5 29 727 3628811 479001613 20922789888017 6402373705728019 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (compr(\x.((loop(\(x,i).((x + 1) * 2),(if (x mod 2) <= 0 then x else 1),1) mod (x + 1)) - 1),(x + 1)) + 1))
A193339: 1 3 4 5 7 9 11 13 17 19 23 29 31 37 41 43
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,(i + 1)) + x),i,1) + x),(x + 1),1)
A221619: 24 410 6120 85035 1130256 14576404 183919920 2282493365 27960543720 338950264686 4073680032984 48607978698655 576460247379360 6800560019808680 79860630502888416 934066108666694889
(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 1) + 1)),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)
A003960: 1 1 2 1 3 2 4 1 4 3 6 2 7 4 6 1
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + 1) * (loop(\(x,i).(((2 + 2) + 1) * x),x,1) + 1))
A034662: 6 42 546 9198 170898 3304182 65019786 1290094638 25700456418 513002215782 10250010815226 204900053024478 4097000260921938 81930001287820182 1638500006371967466 4611686018427387903
((loop(\(x,i).((x * x) * (x + 2)),1,loop(\(x,i).((x * 2) + 1),x,0)) - loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A090023: 0 1 37 415 3745 31471 257257 2078455 16704865 133935391 1072633177 8585561095 68702163985 549687102511 4397773276297 35183283965335
(loop(\(x,i).(((x * x) + 1) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) * (loop(\(x,i).((2 + 1) * x),x,1) + 1))
A034664: 8 60 850 16380 358258 8253300 194402650 4624699020 110523825058 2647111898340 63466433646250 1522433108644860 36529334450076658 876595894555956180 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) * x),x,1) + 1)
A189409: 2 5 37 901 44101 5336101 901800901 260620460101 94083986096101 49770428644836901 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (2 + 1)) <= 0 then (if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else 2) else 1)
A040788: 28 1 1 2 1 1 56 1 1 2 1 1 56 1 1 2
(if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * 2) else 1)
A040487: 22 1 1 2 1 1 44 1 1 2 1 1 44 1 1 2
((((compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),2,x),x) * 2) + 1) * 2) + 1)
A053177: 15 27 35 39 63 75 87 95 119 123 135 143 147 159 195 203
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1) * (if (x - 1) <= 0 then 2 else 1))
A121069: 2 4 6 30 210 2310 30030 510510 9699690 223092870 6469693230 200560490130 7420738134810 304250263527210 13082761331670030 614889782588491410
(if (x mod 2) <= 0 then ((((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040376: 19 1 8 1 38 1 8 1 38 1 8 1 38 1 8 1
(if (x mod 2) <= 0 then (((((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040548: 23 1 10 1 46 1 10 1 46 1 10 1 46 1 10 1
(if (x mod 2) <= 0 then ((((if (x mod (2 + 2)) <= 0 then (((2 + 2) * 2) + 1) else 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040375: 19 1 6 1 38 1 6 1 38 1 6 1 38 1 6 1
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((((2 + 2) * 2) * (2 + 1)) - 1) else 2) * (if x <= 0 then 1 else 2)) else 1)
A040544: 23 1 4 1 46 1 4 1 46 1 4 1 46 1 4 1
(if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (((2 + 2) * (2 + 1)) + 1) else 1) * (if x <= 0 then 1 else 2)) * 2) else 1)
A040693: 26 1 4 1 52 1 4 1 52 1 4 1 52 1 4 1
loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2)) + 1))
A174623: 25 81 1089 16641 4198401 67125249 17180131329 274878955521 70368760954881 288230377225453569 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),(2 + 2)) - 1))
A174744: 9 49 961 16129 4190209 67092481 17179607041 274876858369 70368727400449 288230375077969921 4611686014132420609 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x + 2) + 2)),2,x),(x + 1)) + 1) + (2 + 1))
A105575: 5 11 17 23 29 31 41 47 53 59 61 71 73 83 89 101
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 2)) + x),1,((x + 1) * (2 + 1)))
A087230: 1 4 1 2 1 3 1 2 1 6 1 2 1 3 1 2
((if x <= 0 then 1 else ((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),(x div 2),1)) div 2)) * (2 + 1))
A032086: 3 3 9 36 108 351 1053 3240 9720 29403 88209 265356 796068 2390391 7171173 21520080
(loop(\(x,i).(if loop(\(x,i).((x * x) * x),2,x) <= 0 then 1 else ((((x * 2) * 2) + 1) * 2)),x,(2 + 2)) + (2 + 1))
A075996: 7 37 277 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x)),1,(((2 + 1) * x) + 2)) + 2) div (2 + 1))
A189018-A189015: 1 3 6 7 10 11 12 16 17 18 23 24 25 26 31 32
loop(\(x,i).((if x <= 0 then 0 else (loop(\(x,i).(((i * 2) - 1) * x),i,1) + (((i * 2) - 1) * x))) + x),x,(2 + 1))
A123332: 3 7 31 201 1713 18075 227295 3317265 55103265 1026318195 21181092975 479733356025 11829834687825 315481555464075 9046941599670975 277598531343758625
((((if x <= 0 then 0 else (compr(\x.loop(\(x,i).(if ((x + 1) mod (i + 1)) <= 0 then 0 else x),x,(x * 2)),x) + 1)) + x) * 2) + 1)
A165955: 1 13 21 29 35 39 47 51 57 65 71 75 81 85 93 97
loop(\(x,i).(if x <= 0 then 0 else ((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1)))),(((x + 1) * x) div 2),1)
A331504: 1 1 3 20 252 6435 352716 40116600 9075135300 4116715363800 3824345300380220 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,(x - 1))),x) * 2) - 1)
A161896: 5 11 23 29 41 53 83 89 113 131 173 179 191 233 239 251
((compr(\x.(if x <= 0 then 1 else ((loop(\(x,i).(x * 2),x,(if (x mod (2 + 1)) <= 0 then 0 else 2)) mod (x + 1)) - 2)),x) * 2) - 1)
A330225: 1 3 5 7 11 13 17 19 23 29 31 35 41 43 47 53
(loop(\(x,i).loop(\(x,i).((x * 2) * 2),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A100689: 31 191 5119 114687 46137343 872415231 292057776127 5222680231935 1618481116086271 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).((2 + 1) * x),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A100688: 17 80 1214 15308 1948616 20726198 2195382770 22082967872 2165293113020 1990280943581606 19147875284802356 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),i,(x * 2)),x,2) + 1)
A066266: 3 13 361 75601 174636001 5244319080001 2677277333530800001 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),i,(x * 2)),x,2) - 1)
A066268: 1 11 359 75599 174635999 5244319079999 2677277333530799999 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),x,2)) - 1)
A092780: 3 24 99 288 783 1680 3363 5928 9999 16640 25599 38808 56643 78960 107583 145160
((((loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1) * (if x <= 0 then 1 else 2)) + (x * 2)) + 1)
A020484: 2 5 7 11 11 13 17 17 19 23 23 29 29 29 31 37
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074540: 3 16 110 862 7202 62206 547130 4861222 43437602 389374126 3496551050 31429889782 282673681202 2543086539646 22882895986970 205921649705542
(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x mod 2) + 1)))
A307768: 0 0 2 4 10 20 44 88 186 372 772 1544 3172 6344 12952 25904
(x - (((loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2))),2,x) + x) div 2) - 1))
A167407: 0 ~1 1 ~2 1 1 ~3 1 1 1 ~4 1 1 1 1 ~5
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016281: 1 17 223 2741 33103 397901 4776871 57328757 687964255 8255629085 99067724119 1188813216773 14265760187407 171189127015469 2054269538501767 24651234505002389
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A021076: 1 13 113 833 5649 36561 230161 1424401 8720657 53021969 320925969 1936736529 11665150225 70169841937 421734846737 2533272326417
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * (2 + 1))),x,1))
A016326: 1 24 412 6192 86800 1166592 15249088 195489024 2470868224 30900418560 383305022464 4724660269056 57945923227648 707851078729728 8619212944752640 104680555337023488
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * (2 + 1))),x,1)
A016295: 1 13 117 905 6461 43953 289717 1868425 11861421 74423393 462815717 2858273145 17556537181 107373722833 654414852117 3977351721065
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A016765: 1 13 115 865 5971 39193 249355 1555105 9573091 58428073 354585595 2143759345 12928070611 77832076153 468051849835 2812563019585
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A016306: 1 17 205 2165 21421 204437 1909885 17608805 160998541 1464103157 13267627165 119952839045 1082840722861 9765157542677 88003964122045 792740954558885
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021029: 1 12 97 672 4333 26964 164809 998184 6017605 36192156 217414561 1305276336 7834033117 47011340388 282089500153 1692601439928
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016285: 1 13 119 953 7167 52185 373423 2646601 18657023 131122937 919956687 6448083369 45170133919 316325146969 2214812883311 15505837634057
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016276: 1 12 103 786 5713 40656 286651 2012862 14109205 98822460 691932319 4844053578 33909961177 237374494824 1661635779907 11631493440534
loop(\(x,i).(0 - x),x,loop(\(x,i).(x - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1)),x,1))
A099324: 1 0 ~1 3 ~8 22 ~64 196 ~625 2055 ~6917 23713 ~82499 290511 ~1033411 3707851
((loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).(x * 2),x,1) + 1)) div 2) - loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A032263: 0 0 0 3 30 195 1050 5103 23310 102315 437250 1834503 7597590 31175235 127067850 515396703
loop(\(x,i).(x * 2),x,(loop(\(x,i).(((x * 2) * (2 + 1)) + 2),x,2) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)))
A016309: 1 20 292 3824 47824 585536 7096384 85576448 1029436672 12368356352 148510974976 1782675894272 21395375902720 256764101869568 3081286768672768 36976146501533696
(compr(\x.(loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),1,((x + 2) * x)) - 1),x) + 1)
A143834: 1 5 9 12 14 16 19 20 23 26 27 29 30 31 32 33
(if x <= 0 then 2 else (compr(\x.(loop(\(x,i).(x * x),2,((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1)) mod (x + 1)),x) + 1))
A319151-A305081: 2 3 5 7 9 11 13 17 19 23 25 27 29 31 37 41
loop(\(x,i).(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),i,x) div (i + 1)),x,1)
A071627: 1 1 2 15 630 242550 1040539500 66400727518125 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * 2),x,1) - (loop(\(x,i).(((2 + 1) * x) + 2),x,2) - loop(\(x,i).((x + 1) * 2),x,1)))
A028244: 0 0 0 6 60 390 2100 10206 46620 204630 874500 3669006 15195180 62350470 254135700 1030793406
loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1) + ((((x * 2) * 2) * 2) * 2)),x,1)
A167713: 1 18 294 4724 75654 1210716 19372380 309961512 4959397062 79350401612 1269606610548 20313706474200 325019306291356 5200308911062296 83204942617113336 1331279082028930896
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + (((x * 2) * 2) * 2)),x,1)
A006096: 1 15 155 1395 11811 97155 788035 6347715 50955971 408345795 3269560515 26167664835 209386049731 1675267338435 13402854502595 107225699266755
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + (((x * 2) * 2) * 2)),x,1)
A016297: 1 15 159 1475 12831 107835 888679 7239555 58567311 471793355 3790622199 30406356435 243657749791 1951296498075 15620544499719 125015218606115
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A016849: 1 15 157 1431 12229 101199 823789 6649287 53436757 428483583 3431885821 27471332343 219836173285 1758953038767 14072683703053 112585721544999
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A016316: 1 19 255 2975 32231 333759 3353335 32976175 319155111 3051352799 28893830615 271497720975 2535105456391 23548956856639 217804673719095 2007154559579375
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021044: 1 14 137 1186 9789 79278 637249 5107322 40887077 327183142 2617726761 20942603058 167543199565 1340352738206 10722843363473 85782811346794
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(x * x),2,(2 + 1)) * x) + 1),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A022253: 1 91 7462 605242 49031983 3971657053 321704819164 26058095733124 2110705802810605 170967170463507055 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(((((((2 + 1) * 2) + 1) * x) div (if i <= 0 then 1 else i)) + x) * (2 + 2)),x,1))
A053107: 1 64 2304 61440 1351680 25952256 449839104 7197425664 107961384960 1535450808320 20882130993152 273366078455808 3462636993773568 42617070692597760 511404848311173120 4611686018427387903
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A016753: 1 12 97 660 4081 23772 133057 724260 3863761 20308332 105558817 544039860 2785713841 14192221692 72020501377 364354427460
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A021074: 1 12 95 630 3801 21672 119155 639210 3370301 17549532 90541815 463889790 2364180001 11999840592 60714998075 306438236370
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A016909: 1 16 181 1804 17017 156520 1422877 12864868 116026273 1045225984 9411051013 84715704892 762506858569 6862825379608 61766487809389 555902642205076
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,2) * (x + 1)) - loop(\(x,i).((x * 2) * 2),x,1))
A296665: 1 4 20 96 444 2000 8840 38528 166124 710256 3016056 12736064 53530840 224107936 935062544 3890018816
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))
A074547: 3 12 50 216 962 4392 20450 96696 462722 2234952 10873250 53199576 261449282 1289406312 6376734050 31605668856
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).((x * 2) * 2),x,1))
A083325: 1 4 18 88 450 2344 12258 63928 331650 1710664 8776098 44810968 227894850 1155188584 5839863138 29458185208
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))
A083320: 1 6 32 162 800 3906 18992 92322 449600 2195586 10755152 52845282 260386400 1286217666 6367168112 31576971042
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).((x * 2) * 2),x,1))
A193052: ~1 ~2 0 34 288 1858 10800 59554 318528 1671298 8658000 44456674 226831968 1151999938 5830297200 29429487394
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A016298: 1 16 183 1850 17681 164316 1504843 13673710 123714261 1116683216 10066424303 90679197570 816519676441 7350711587716 66166576804563 595550053849430
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A021024: 1 11 80 490 2751 14721 76630 392480 1990901 10041031 50466780 253122870 1267989451 6347088941 31756902530 158848951660
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016279: 1 15 169 1755 17761 178275 1784809 17854395 178563121 1785689235 17857067449 178571201835 1785713604481 17857140811395 178571422430089 1785714267282075
loop(\(x,i).(x * x),1,(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 2) * x) + 2))),x) + 1))
A075408: 1 4 16 36 100 196 256 400 576 676 1296 1600 2916 3136 4356 5476
loop(\(x,i).(loop(\(x,i).(i * x),x,1) div (x + 1)),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1))
A091330: 0 0 4 102 329890 36846276 1230752346352 336967037143578 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(i * x),x,2) div (x + 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A130775: 0 1 8 180 604800 68428800 2324754432000 640237370572800 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(if (x mod (2 + 2)) <= 0 then (x div 2) else x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A081728: 1 2 2 6 10 6 8 18 22 14 30 18 20 42 46 26
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),x,1))
A075922: 1 42 1225 30870 722701 16235562 355888225 7683656190 164302593301 3491636199282 73902587019625 1560051480424710 32874455072382301 691950889177526202 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) + 1),x,(loop(\(x,i).(x * 2),((x mod 2) * x),2) - 1)) div loop(\(x,i).(x * 2),x,1))
A266980: 1 6 5 122 21 2026 85 32682 341 523946 1365 8387242 5461 134212266 21845 2147461802
(((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) - loop(\(x,i).(x * 2),x,2)) * (x + 1)) div loop(\(x,i).(x * 2),x,1))
A139754: 1 5 14 32 65 124 225 394 673 1133 1880 3089 5034 8146 13106 20986
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A074529: 3 12 62 378 2498 17082 118442 825858 5771618 40373802 282535322 1977505938 13841822738 96890612922 678227872202 4747575891618
(loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),x,(x + 2)) - loop(\(x,i).(x * 2),x,1))
A296663: 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627
loop(\(x,i).(((if ((x div 2) - 2) <= 0 then 1 else (if x <= 0 then 1 else ((((2 + 1) * 2) + 1) * x))) + x) + (x * 2)),x,1)
A067634: 1 4 13 130 1300 13000 130000 1300000 13000000 130000000 1300000000 13000000000 130000000000 1300000000000 13000000000000 130000000000000
compr(\x.(loop(\(x,i).(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x * 2)) - 1),2,x) - 1),(x + 1))
A073216: 1 2 3 5 6 9 14 15 18 27 41 42 45 54 81 122
((loop(\(x,i).(x * x),1,(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1)) div (x + 1)) mod (x + 1))
A076981: 0 0 1 2 1 4 3 6 5 4 4 10 9 12 11 10
(if (x mod (((2 + 2) + 1) * 2)) <= 0 then 1 else loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(x + 1)))
A172500: 1 2 1 4 5 2 7 8 1 10 1 4 13 14 5 16
((x + 1) div loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * x) * 2) - 1),2,2) * x),2,x) mod (x + 1)),2,(x + 1)))
A056623: 1 1 1 4 1 1 1 1 9 1 1 4 1 1 1 16
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(if (x - (2 + 1)) <= 0 then x else (x + 1)))
A106118-A059168-A050757-A032758-A029743: 2 3 5 7 13 17 19 23 29 31 37 41 43 47 53 59
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(if ((x div 2) - 2) <= 0 then x else (x + 1)))
A193063-A165132: 2 3 5 7 11 13
A095074-A057447: 2 3 5 7 11 13 19 23 29 31 37 41 43 47 53 59
compr(\x.loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) div (i + 1)) * x),2,x),(x + 1))
A268415: 1 2 3 4 6 7 8 12 14 15 16 21 24 28 30 31
loop(\(x,i).(x * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)))
A108570: 9 25 121 289 841 1681 3481 5041 10201 11449 18769 22201 32041 36481 38809 51529
(if x <= 0 then 0 else loop(\(x,i).(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) * (x - 1)),1,(x - 1)))
A217213: 0 0 0 4 30 168 840 3960 18018 80080 350064 1511640 6466460 27457584 115892400 486748080
(loop(\(x,i).(x div ((if (x mod 2) <= 0 then (if ((x + 2) mod (((x div 2) mod 2) + 2)) <= 0 then 2 else 0) else 1) + 1)),x,x) + 1)
A161788: 1 1 3 1 1 3 7 1 3 1 1 3 1 7 15 1
(if (1 - ((x mod 2) * 2)) <= 0 then ((x div 2) + 2) else loop(\(x,i).(((if (i mod 2) <= 0 then (2 + 2) else 1) + 1) * x),x,1))
A332701: 1 2 10 3 100 4 1000 5 10000 6 100000 7 1000000 8 10000000 9
loop(\(x,i).(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),(i - 1),1) + x),x,1)
A084737: 1 2 4 10 40 250 2560 32590 543100 10242790 233335660 6703028890 207263519020 7628001653830 311878265181040 13394639596851070
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074555: 3 16 94 586 3778 24826 165034 1105666 7450978 50450986 343000474 2340300946 16018600978 109951298746 756592019914 5217760843426
(loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074541: 3 15 89 567 3713 24615 164369 1103607 7444673 50431815 342942449 2340125847 16018073633 109949712615 756587253329 5217746527287
(loop(\(x,i).((x * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074568: 3 19 129 919 6753 50599 383889 2937079 22607553 174833479 1357265649 10571455639 82577541153 646711933159 5076538019409 39933007340599
(loop(\(x,i).(((x * x) + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074544: 3 17 117 863 6513 49607 379857 2920823 22542273 174571847 1356218097 10567263383 82560768033 646644832487 5076269600337 39931933631543
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074559: 3 19 139 1099 9043 76099 649819 5608699 48818083 427793779 3769318699 33358563499 296271355123 2638756433059 23555020310779 210638707953499
loop(\(x,i).(((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((2 + 1) * x),(i + 1),1)) + 1) div (2 + 1)) * x),x,1)
A003787: 1 24 5616 12130560 237783237120 42064805779476480 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),1,((2 + 1) * x)),x) + 1)
A060461: 20 24 31 34 36 41 48 50 54 57 69 71 79 86 88 89
((loop(\(x,i).((x * 2) + 1),x,((loop(\(x,i).(x * 2),x,1) + 2) + 2)) div 2) - loop(\(x,i).((2 + 1) * x),x,1))
A134165: 1 3 8 24 86 348 1478 6324 26846 112668 467798 1925124 7867406 31980588 129475718 522603924
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),i,1)) * x),x,1)
A028683: 1 420 81496800 6988909668048000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),i,1)) * x),x,1)
A028684: 1 462 108002664 12244181663697984 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1)) + x),x,1)
A167893: 1 9 134 2878 76966 2376934 81330523 3005537523 117938569451 4856184495787 208008478587443 9208478072445171 419215292661445171 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),i,1)) * x),x,1)
A028681: 1 342 44446320 2090711424299040 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),i,1)) * x),x,1)
A028685: 1 506 141331872 20920469730667584 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i - 1),1) + x),i,1) - x),x,1)
A106269: 1 1 4 11 39 137 501 1853 6936 26163 99314 378879 1451392 5579179 21509692 83137939
loop(\(x,i).(loop(\(x,i).(0 - ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x)),i,1) + x),x,1)
A265184: 1 ~1 5 ~25 185 ~2125 27905 ~482605 9217085 ~213875785 6255817445 ~194304672685 7226433462125 ~297023830065085 12785737501604945 ~602104045086886465
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(i - 1),2)) + x),x,1)
A079727: 1 9 225 8225 351225 16354233 805243257 41229480825 2172976383825 117106008311825 6423711336265041 357470875526646609 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(1 - loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),1,(((x + 2) + 2) * x))),x) + 1)
A089623: 1 2 4 6 8 12 14 18 20 26 28 32 34 36 42 46
loop(\(x,i).(loop(\(x,i).((x - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) * x),x,1)
A335334: 1 6 120 5040 554400 86486400 23524300800 8045310873600 4070927302041600 3305592969257779200 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)),1,i) + x),x,1)
A058759: 1 4 8 13
A071994: 1 4 8 13 20 29 40 52 65 80 96 113 132 152 173 196
loop(\(x,i).(x * 2),((2 + 1) * x),loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) div (if i <= 0 then 1 else i)) + x),x,1))
A196280: 1 80 3520 112640 2928640 65601536 1312030720 23991418880 407854120960 6525665935360 99190122217472 1442765414072320 20198715797012480 273459536944168960 3594039628409077760 4611686018427387903
loop(\(x,i).((((2 + 2) * 2) + (i + 1)) * x),x,loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A062151: 1 50 1650 46200 1201200 30270240 756756000 19027008000 485188704000 12614906304000 335556507686400 9151541118720000 256243151324160000 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A196221: 1 99 5346 208494 6567561 177324147 4255779528 93019181112 1883638417518 35789129932842 644204338791156 11068601821048044 182631930047292726 2908062270753045714 4611686018427387903 4611686018427387903
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1) div loop(\(x,i).(i * x),x,1))
A135568: 1 2 3 5 8 19 41 101 240 614 1782 5024 15492 48859 150069 470216
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1) mod loop(\(x,i).(i * x),x,1))
A182254: 0 0 0 0 18 30 510 1470 22890 284550 3171630 18486930 45347610 4254260010 2349577230 371965003410
((((loop(\(x,i).(x * 2),(0 - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)),1) + 2) div (2 + 1)) + 1) div 2)
A332954-A316074: 1 1 1 1 1 1 2 1 1 1 3 2 1 1 1 6
(loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),1,(((x * 2) * (2 + 1)) + 1)) + 2)
A107986: 4 9 15 21 25 33 39 45 49 55 63 69 75 81 85 91
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),1) + loop(\(x,i).(x * 2),(x - 1),1)) div 2)
A116406: 1 1 2 3 7 11 26 42 99 163 382 638 1486 2510 5812 9908
((loop(\(x,i).(if x <= 0 then 0 else ((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1)))),x,(x - 1)) + 1) div 2)
A191527: 0 0 1 3 9 20 50 105 245 504 1134 2310 5082 10296 22308 45045
((((if x <= 0 then 2 else ((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0) + 1) * 2) mod (x + 1)) + 1)) div 2) + 1) div 2)
A107110: 1 0 1 0 1 1 0 0 1 1 0 0 2 1 1 0
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),((x + 1) div 2),1)) div 2)
A294175: 0 0 1 1 5 6 22 29 93 130 386 562 1586 2380 6476 9949
(if x <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,(if (x mod 2) <= 0 then ((x div 2) mod 2) else x)) mod (x + 1)) div 2) + 1) * 2))
A273258: 1 2 2 2 2 6 2 2 2 10 2 6 2 14 6 2
((if (x mod 2) <= 0 then (((if ((x div 2) mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2)
A040482: 22 2 8 2 44 2 8 2 44 2 8 2 44 2 8 2
(if (x mod 2) <= 0 then (if (x mod (2 + 1)) <= 0 then (((((2 + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) else 2)
A040522: 23 2 1 2 1 2 46 2 1 2 1 2 46 2 1 2
(loop(\(x,i).(x * 2),(x - 1),(loop(\(x,i).(x * 2),x,1) - (((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)) - 1))) div 2)
A073996: 0 1 3 12 60 256 1008 4032 16320 65536 261888 1047552 4193280 16777216 67104768 268419072
(if x <= 0 then 0 else ((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + x) + (((x * 2) + 1) * 2)))
A210254: 0 7 12 15 21 23 28 31 38 39 44 47 53 55 60 63
((2 + 1) div (((loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x)) * 2) + 1) * 2))
A185018: 1 ~2 1 1 ~2 1 0 1 ~2 1 0 0 1 ~2 1 0
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(x + 1)) - loop(\(x,i).((x * 2) * 2),x,1)) div 2)
A139262: 0 0 1 8 47 244 1186 5536 25147 112028 491870 2135440 9188406 39249768 166656772 704069248
(if x <= 0 then 1 else ((((x * 2) * 2) - (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1)) * 2))
A310533: 1 4 10 16 22 28 34 40 46 52 58 62 66 72 78 84
((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),x,1) - loop(\(x,i).(x * 2),x,1)) * 2)
A130072: 0 12 90 528 2850 14832 75810 383808 1932930 9705552 48648930 243605088 1219100610 6098716272 30503196450 152544778368
(((loop(\(x,i).(((x * 2) * 2) + 1),x,2) + loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1)) div 2)
A246986: 1 5 21 84 331 1300 5111 20144 79611 315420 1252351 4980904 19837091 79086740 315557991 1259856864
((loop(\(x,i).((x * 2) * 2),x,(2 + 1)) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)) div 2)
A265939: 1 5 21 86 349 1410 5682 22860 91869 368906 1480486 5938740 23813746 95462996 382594884 1533053976
((((1 - x) mod loop(\(x,i).(compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(x + 2)),x) + i),2,x)) + 1) div 2)
A076236: 1 0 7 7 8 9 10 10 10 10 12 12 12 12 13 13
(if x <= 0 then 1 else (if (x mod ((x mod 2) + 2)) <= 0 then (x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)) else ((x + 1) div 2)))
A214918: 1 1 2 1 4 3 2 4 8 3 10 6 4 7 14 5
((loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,2) + 1)) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A083316: 1 5 28 167 1024 6335 39208 241967 1487584 9110975 55612888 338471567 2054977744 12451139615 75314797768 454933369967
((loop(\(x,i).((((2 + 2) + 1) * x) - loop(\(x,i).(x * 2),i,1)),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) div 2)
A188545: 1 3 10
A086444: 1 3 10 37 150 653 2990 14157 68470 335533 1657470 8227277 40957190 204250413 1019649550 5093448397
((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) * (2 + 1)),(x + 1),1) - 1),1,(x + 2)) div 2) + 2)
A250749: 72 237 756 2361 7272 22197 67356 203601 613872 1847757 5555556 16691241 50122872 150466917 451597356 1355185281
((loop(\(x,i).(2 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2))),1,(x + 2)) * 2) + 2)
A212595: 2 2 4 2 2 4 2 4 6 2 2 4 6 2 4 2
(loop(\(x,i).(loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1),2,((x * 2) * (2 + 1))) + (2 + 2))
A164383: 6 9 15 21 27 33 35 45 51 57 63 65 75 77 87 93
(loop(\(x,i).((x div (2 + 2)) + ((x + 1) * 2)),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div (2 + 2))
A229878: 0 0 1 0 1 2
A180662: 0 0 1 0 1 2 0 1 2 6 0 1 2 6 15 0
loop(\(x,i).(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) + x),x,(2 + 2))
A024450: 4 13 38 87 208 377 666 1027 1556 2397 3358 4727 6408 8257 10466 13275
(((if x <= 0 then 1 else compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x div 2) + (x * 2)))),x)) + 2) div 2)
A222011: 1 2 4 8
A024895: 1 2 4 8 10 14 20 22 26 28 32 34 40 46 52 56
(if (if (x mod ((2 + 2) * 2)) <= 0 then x else 0) <= 0 then loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) else ((x + 2) + 2))
A336652: 1 1 3 1 5 3 7 1 12 5 11 3 13 7 15 1
(loop(\(x,i).(loop(\(x,i).(x * 2),i,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) + x),x,2) div 2)
A135483: 1 4 14 42 130 338 882 2098 5042 12466 28338 66226 150194 326322 711346 1579698
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),1,((x * 2) + 1)),x) + 2)
A217707: 14 16 19 23 29 30 31 36 40 44 46 47 51 52 54 55
(loop(\(x,i).((x + 1) * x),1,compr(\x.(loop(\(x,i).(0 - (if (x mod (i + 1)) <= 0 then 0 else x)),(x div 2),x) + 1),x)) div 2)
A034955: 6 28 66 190 276 496 946 1128 1770 2278 2556 3160 3486 5356 5778 8128
loop(\(x,i).loop(\(x,i).((x * x) * x),2,(x * x)),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 2))
A030637: 262144 387420489 3814697265625 1628413597910449 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2))
A060286: 6 28 496 8128 2096128 33550336 8589869056 137438691328 35184367894528 144115187807420416 2305843008139952128 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),(2 + 2),x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138032: 131072 129140163 762939453125 232630513987207 505447028499293771 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A030629: 1024 59049 9765625 282475249 25937424601 137858491849 2015993900449 6131066257801 41426511213649 420707233300201 819628286980801 4808584372417849 13422659310152401
loop(\(x,i).(loop(\(x,i).(x * 2),x,1) + (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A097058: 8 17 57 177 2169 8361 131361 524649 8389137 536871753 2147484609 137438954841 2199023257233 8796093024057 140737488357537 9007199254743801
loop(\(x,i).(loop(\(x,i).(x * 2),x,1) - (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A098105: 0 ~1 7 79 1927 8023 130783 523927 8388079 536870071 2147482687 137438952103 2199023253871 8796093020359 140737488353119 9007199254738183
loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A030631: 4096 531441 244140625 13841287201 3138428376721 23298085122481 582622237229761 2213314919066161 21914624432020321 353814783205469041 787662783788549761 4611686018427387903
loop(\(x,i).((if (loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) <= 0 then 2 else 1) + x),(x + 1),(x + 2))
A219786: 4 6 9 10 14 15 18 21 24 25 27 28 32 34 36 38
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(if ((x div 2) - 2) <= 0 then x else (x + 2)))
A193063-A165132: 2 3 5 7 11 13
A181172: 2 3 5 7 11 13 23 29 31 37 41 43 47 53 59 61
(if x <= 0 then (2 + 1) else compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2)))
A172070: 3 11 17 29 41 59 71 101 107 137 149 179 191 197 227 239
((2 - (loop(\(x,i).(if x <= 0 then 0 else ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)),2,x) mod (2 + 1))) + (x * 2))
A287332: 2 4 5 6 10 12 14 15 16 20 21 22 26 27 28 32
((loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x),1,((2 + 1) * x)) + x) + (x * 2))
A240883: 0 0 2 1 2 0 2 2 2 2 4 1 2 1 3 3
((if (x mod (2 + 1)) <= 0 then (if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 0) else 1) + (x mod 2))
A010160: 9 2 1 1 1 2 18 2 1 1 1 2 18 2 1 1
(loop(\(x,i).(x - ((if x <= 0 then 1 else (if (x mod ((((x * x) div 2) mod (x + 2)) + 2)) <= 0 then 2 else 0)) - 1)),x,x) * 2)
A304651: 0 4 8 8 8 16 16 16 16 16 24 24 24 32 32 32
loop(\(x,i).((x * x) * x),1,loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,2))
A115964: 8 216 27000 9261000 12326391000 27081081027000 133049351085651000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((if x <= 0 then 0 else ((if (x mod ((x mod 2) + 2)) <= 0 then 1 else x) mod (2 + 2))) + x) + 2),x,0) + 1) + x)
A311356: 1 4 8 12 16 22 26 32 36 40 44 48 52 56 60 64
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x + 2) * (x + 1)) + 1)),x)
A224870: 1 2 5 7 10 11 16 20 22 25 37 40 41 46 50 55
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,(x - (1 - ((x * 2) * (2 + 1))))),x)
A105772: 0 3 5 11 15 21 23 27 33 45 47 51 53 57 63 65
(if x <= 0 then 1 else compr(\x.(x mod (((x mod loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x)) * 2) + 1)),x))
A175495: 1 2 3 4 6 8 10 12 14 15 16 18 20 24 28 30
loop(\(x,i).(loop(\(x,i).((x + 1) * 2),x,0) div (x + 1)),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x))
A064535: 0 1 2 6 18 186 630 7710 27594 364722 18512790 69273666 3714566310 53634713550 204560302842 2994414645858
compr(\x.(loop(\(x,i).(x * x),2,(loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) - 2)) mod (x + 1)),x)
A328607-A258209-A257250: 0 1 2 3 4 6 7 8 12 14 15 16 24 26 28 30
((x - (if x <= 0 then 0 else loop(\(x,i).(loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x) - 1),x,(x + 1)))) - x)
A283972: 0 1 1 3 4 4 4 7 8 9 9 10 11 11 11 15
loop(\(x,i).(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(x + 1)) mod ((2 + 2) + 1)),(x - 1),x)
A048138: 0 1 1 0 2 1 2 1 1 1 1 2 2 2 2 2
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((if (x - (2 + 2)) <= 0 then 1 else 2) + x))
A216285: 3 5 7 11 13 19 23 29 31 37 41 43 47 53 59 61
compr(\x.(loop(\(x,i).(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x * 2)) - 1),2,(x + 1)) div 2),x)
A233524: 0 1 2 4 5 8
A031988-A023745: 0 1 2 4 5 8 13 14 17 26 40 41 44 53 80 121
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 1) * x) div 2) + 2)),x)
A027756: 0 2 3 5 8 9 11 12 17 18 24 26 29 30 32 33
(x - (loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x),1,(((x + 2) * x) * 2)) + x))
A281264: 0 4 15 26 46 67 94 120 158 194 236 281 333 386 445 502
compr(\x.(loop(\(x,i).(x div (2 - (((if (x - 2) <= 0 then x else (if (x mod (2 + 2)) <= 0 then 0 else 1)) + 1) mod 2))),x,x) div 2),x)
A280873: 0 1 3 6 7 13 14 15 26 27 29 30 31 53 54 55
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (i - (((x div (2 + 1)) + x) div ((2 + 2) + 1))))),x,x) + x),2,x)
A078349: 0 1 1 1 2 1 2 1 1 2 3 1 2 2 2 1
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,((((2 + 2) * (2 + 1)) - 1) * x)),x)
A102686: 0 4 10 14 16 20 28 38 40 44 46 56 58 68 70 76
compr(\x.(1 - loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1)) - 2),2,x)),x)
A043683: 21 37 41 42 43 45 53 69 73 74 75 77 81 82 83 84
(((loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) - 1),x,x),1,((2 + 1) * x)) + x) + x) + x)
A036555: 0 2 2 2 2 4 2 3 2 4 4 2 2 4 3 4
(if (x mod 2) <= 0 then (((((((loop(\(x,i).(i + x),(x - 2),1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) else 0)
A240146-A240145-A240144-A240143-A035363: 1 0 1 0 2 0 3 0 5 0 7 0 11 0 15 0
loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),((x * 2) + 1),0))
A138118: 10 11100 11111000 11111110000 11111111100000 11111111111000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x * 2),loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),(x + 1),0))
A138119: 10 11000 11100000 11110000000 11111000000000 11111100000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (2 - x) <= 0 then (if (x mod (2 + 1)) <= 0 then 2 else (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))) else 0)
A180094: 0 0 1 2 1 2 2 3 1 2 2 3 2 3 3 2
loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,(1 - loop(\(x,i).(((x - 2) * 2) * ((2 + 2) + 1)),x,0)))
A332121: 1 212 22122 2221222 222212222 22222122222 2222221222222 222222212222222 22222222122222222 2222222221222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155673: 1 20 220 2330 24640 261050 2771560 29487170 314358880 3357947690 35937424600 385311670610 4138428376720 44522712143930 479749833583240 5177248169415650
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(x - (((1 - x) * 2) * ((2 + 2) + 1))),x,0))
A155658: 1 17 169 1673 17041 177857 1889209 20310713 220123681 2398301297 26219899849 287288997353 3152269663921 34619601154337 380428056656089 4181995730925593
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + loop(\(x,i).(x - (((1 - x) * 2) * (2 + 1))),x,0))
A155662: 1 5 73 989 12241 144245 1653913 18663629 208594081 2317594085 25654949353 283334343869 3124587089521 34425823133525 379071610510393 4172500607905709
loop(\(x,i).((((((x + 1) * 2) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * (2 + 1)) + x) + 1),x,0)
A097254: 0 7 56 63 448 455 504 511 3584 3591 3640 3647 4032 4039 4088 4095
((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 2),x,0) div (2 + 1)) * loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A275635: 0 0 24 780 21840 595320 16120104 435647940 11766101280 317717078640 8578651865784 231626215995900 6253931369278320 168856358797449960 4559123593944869064 4611686018427387903
(if x <= 0 then 1 else (if ((x - (((((x div (2 + 2)) * (2 + 1)) div 2) - ((x - 1) div 2)) div 2)) mod 2) <= 0 then x else 0))
A063973: 1 0 2 3 4 5 0 7 8 9 0 11 0 13 0 0
(loop(\(x,i).(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (((x * 2) * 2) * 2)) - 1),x,0) + 1)
A095807: 1 10 181 2620 33571 402130 4619161 51572440 564151951 6077367550 64696307941 682266771460 7140400943131 74263608488170 768372476393521 7915352287541680
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).(((x + 1) * (2 + 1)) * (2 + 1)),x,0)) + 1)
A217094: 2 2 11 182 2621 33572 402131 4619162 51572441 564151952 6077367551 64696307942 682266771461 7140400943132 74263608488171 768372476393522
(loop(\(x,i).((x + 1) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) - (if x <= 0 then 0 else 1))
A266533: 1 3 3 9 3 9 9 21 3 9 9 21 9 21 21 45
((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) div 2) + (if x <= 0 then 0 else 1))
A318473-A008481: 0 1 1 2 1 2 1 3 2 2 1 3 1 2 2 5
loop(\(x,i).(x * 2),(((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + (if x <= 0 then 0 else 1)),1)
A166242: 1 2 4 2 4 8 4 2 4 8 16 8 4 8 4 2
loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),1)
A080100: 1 1 2 1 4 2 2 1 8 4 4 2 4 2 2 1
((if x <= 0 then 0 else ((x mod (((((loop(\(x,i).(x * 2),x,x) mod (x + 1)) * 2) * 2) div (2 + 1)) + 1)) + 1)) + 1)
A325971: 1 2 4 2 6 7 8 2 3 11 12 7 14 15 16 2
((x div ((x mod ((loop(\(x,i).(x * 2),x,(if (x - (2 + 2)) <= 0 then 1 else 2)) mod ((x * 2) + 1)) + 1)) + 1)) + 1)
A322020: 1 1 1 2 1 1 1 4 3 1 1 4 1 1 1 16
((x div ((x mod (((loop(\(x,i).(x * 2),x,loop(\(x,i).((i * x) + 2),x,2)) - 1) mod (x + 1)) + 1)) + 1)) + 1)
A097706: 1 1 3 1 1 3 7 1 9 1 11 3 1 7 3 1
((x mod ((x mod ((loop(\(x,i).((if (x - (2 + 2)) <= 0 then (2 + 1) else x) + x),x,1) mod (x + 1)) + 1)) + 1)) + 1)
A180172: 1 1 1 1 1 3 1 1 1 1 11 3 1 1 1 1
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1)) - 1)
A181965: 8 989 99899 9998999 999989999 99999899999 9999998999999 999999989999999 99999999899999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - (if x <= 0 then 0 else ((x mod (((((loop(\(x,i).(x * 2),x,x) mod (x + 1)) * 2) * 2) div (2 + 1)) + 1)) + 1)))
A325970: 0 0 ~1 2 ~1 ~1 ~1 6 6 ~1 ~1 5 ~1 ~1 ~1 14
((if (2 - x) <= 0 then (1 - (compr(\x.(if (x mod 2) <= 0 then ((x div (2 + 1)) mod (2 + 1)) else 0),x) mod (2 + 1))) else 1) + 1)
A316344: 2 2 0 2 0 1 2 1 0 1 2 0 2 1 0 2
(if (x mod 2) <= 0 then ((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else (x div ((2 + 2) + 1))) + 1) mod (x + 1)) + 1) else 1)
A278538: 1 1 2 1 2 1 3 1 3 1 2 1 4 1 4 1
(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (((x * 2) * 2) * 2)),(x + 1),1) - 1)
A083445: 18 270 3438 40950 468558 5217030 56953278 612579510 6513215598 68618940390 717570463518 7458134171670 77123207545038 794108867905350 8146979811148158 83322818300333430
(((if x <= 0 then 1 else x) div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1)
A111089: 2 2 3 2 5 3 7 2 3 5 11 3 13 7 5 2
((x * 2) - ((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((((x + 1) div 2) div 2) + 2) + 1)) - 1))
A128140: 1 3 2 7 5 3 13 10 7 4 21 17 13 9 5 31
((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),(x + 1)) * (((2 + 2) * 2) + 1)) - 1)
A265104: 8 26 35 80 89 107 116 242 251 269 278 323 332 350 359 728
((loop(\(x,i).(i * x),(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2),1) div ((2 + 2) + 1)) + 1)
A139163: 25 1009 7983361 1245404161 71137485619201 24329020081766401 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(i * x),(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2),1) div ((2 + 2) + 1)) - 1)
A139193: 23 1007 7983359 1245404159 71137485619199 24329020081766399 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * ((2 + 2) + 1)) - 1)
A332194: 4 949 99499 9994999 999949999 99999499999 9999994999999 999999949999999 99999999499999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div ((2 + 2) + 1)) + 1)
A139168: 13 505 3991681 622702081 35568742809601 12164510040883201 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div ((2 + 2) + 1)) - 1)
A139198: 11 503 3991679 622702079 35568742809599 12164510040883199 4611686018427387903 4611686018427387903 4611686018427387903
((x div ((((if (x mod (2 + 2)) <= 0 then 0 else (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x)) + (x mod 2)) + 2) + 1)) + 1)
A323524: 1 1 1 1 2 1 2 1 3 2 3 1 5 1 4 4
(if (x mod (2 + 1)) <= 0 then (((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 2 else 0) + 1) * (2 + 1)) else 1)
A109012: 9 1 1 3 1 1 3 1 1 9 1 1 3 1 1 3
((((if ((x div 2) mod (2 + 1)) <= 0 then 0 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) div (2 + 1)) + 1)
A295665: 1 1 2 1 3 2 1 1 4 3 5 2 1 1 6 1
((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((x div ((2 + 2) + 1)) + 2)) + 1) div (2 + 1)) + 1)
A318806: 1 1 2 1 2 3 1 2 3 4 1 2 4 5 6 1
(x mod (((loop(\(x,i).loop(\(x,i).((2 + 1) * x),((x - 1) div 2),1),(x mod 2),(x div 2)) + 1) div (2 + 1)) + 1))
A067166: 0 0 0 0 0 0 0 1 0 1 1 3 0 1 2 5
((if ((((x div (2 + 1)) * x) div 2) mod (2 + 1)) <= 0 then (if x <= 0 then 0 else 1) else 0) * (((x + 1) div (2 + 1)) + 1))
A091227: 0 1 2 0 0 0 3 0 0 0 4 0 5 0 0 0
(((loop(\(x,i).(x div (2 - (x mod 2))),x,(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))) + 2) div (2 + 1)) + 1)
A126759: 1 2 2 2 2 3 2 4 2 2 3 5 2 6 4 3
(x - ((((((loop(\(x,i).((if (x - i) <= 0 then x else 0) + x),x,1) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) - 1))
A119671: 1 1 1 2 1 2 3 4 2 3 4 5 6 7 8 9
(((loop(\(x,i).(x * x),1,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) * 2) div (2 + 1)) + 1)
A276391: 1 3 1 11 1 3 1 43 1 3 1 11 1 3 1 171
((((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) * (2 + 1)) + 2) * (2 + 1)) - 1)
A265100: 5 14 32 41 86 95 113 122 248 257 275 284 329 338 356 365
((x + 1) div (if x <= 0 then 1 else ((((if (x mod (((x - 1) mod (2 + 2)) + 1)) <= 0 then 1 else 2) * 2) * (2 + 1)) - 1)))
A029328: 1 0 0 0 1 1 1 0 1 2 2 1 2 2 3 3
(((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) * 2) div (2 + 1)) + 1)
A286679: 17 33 81 113 193 241 353 561 641 913 1121 1233 1473 1873 2321 2481
(((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div 2) div (2 + 1)) - 1)
A171140: 3 7 19 27 47 59 87 139 159 227 279 307 367 467 579 619
((((x + 1) - loop(\(x,i).(x - (((if (x mod (2 + 1)) <= 0 then 2 else 1) + x) div (2 + 2))),2,x)) mod (2 + 1)) + 1)
A288724: 2 2 2 3 1 1 2 2 3 3 3 1 1 1 2 3
((((if ((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + x) mod (2 + 1)) <= 0 then 2 else 1) + 1) mod ((x div 2) + 1)) + 1)
A157790: 1 1 2 2 3 3 4 3 4 4 4 3 4 3 4 4
(((loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,(x mod 2)))) - 1) * ((x mod 2) + 1)) + 1)
A267055: 1 3 20 47 336 703 5440 11007 87296 175103 1397760 2797567 22368256 44744703 357908480 715849727
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1) * (loop(\(x,i).((x * 2) * 2),x,1) - 1))
A131568: 0 3 45 630 8925 128898 1891890
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A155674: 1 2 22 332 4642 61052 771562 9487172 114358882 1357947692 15937424602 185311670612 2138428376722 24522712143932 279749833583242 3177248169415652
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1),1)
A031974: 11 111 11111 1111111 11111111111 1111111111111 11111111111111111 1111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1),1)
A210461: 91 7381 597871 3922632451 317733228541 2084647712458321 168856464709124011 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else 0)) mod (x + 1)),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A216882-A216881-A042966: 2 3 5 7 11 13 17 19 23 31 37 41 47 53 59 61
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(if (x mod (((2 + 2) * 2) + 1)) <= 0 then 1 else 0)) mod (x + 1)),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A299956: 2 3 5 7 11 13 17 23 29 31 41 43 47 53 59 61
(compr(\x.(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((x - i) * 2),x,2) mod (x + 1))) mod (x + 1)),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A240960-A182140: 2 3 5 7 11 13 15 17 19 23 29 31 37 41 43 47
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).((x - i) * 2),x,2) mod (x + 1))) mod (x + 1)),(x + 1)) + 1)
A136327-A070566: 2 3 5 7 9 11 13 17 19 23 25 29 31 37 41 43
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x div 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1))
A164046: 11 101 1010 10010 100100 1000100 10001000 100001000 1000010000 10000010000 100000100000 1000000100000 10000001000000 100000001000000 1000000010000000 10000000010000000
loop(\(x,i).(((((x + 1) * x) + 1) div (2 + 1)) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1))
A281858: 370 336700 333667000 333366670000 333336666700000 333333666667000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x div (if (x mod (((x mod (2 + 2)) * 2) + 1)) <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) + 1)
A161399: 1 2 1 4 5 2 1 8 9 10 11 4 13 2 1 16
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A156372: 1 30 225 13500 50625 1518750 11390625 1366875000 2562890625 76886718750 576650390625 34599023437500 129746337890625 3892390136718750 29192926025390625 4611686018427387903
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1))
A156293: 1 22 121 5324 14641 322102 1771561 155897368 214358881 4715895382 25937424601 1141246682444 3138428376721 69045424287862 379749833583241 66835970710650416
(loop(\(x,i).((if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then ((((x * 2) * 2) + 1) * 2) else 1) + x),x,1) - 1)
A103303: 0 1 2 3 4 5 6 7 8 9
A055649: 0 1 2 3 4 5 6 7 8 9 10 100 101 102 103 104
(loop(\(x,i).(((if (((0 - x) * 2) mod ((2 + 2) + 1)) <= 0 then ((2 + 1) * x) else 1) * (2 + 1)) + x),x,1) + 1)
A135050: 2 5 8 11 101 1001 10001 100001 1000001 10000001 100000001 1000000001 10000000001 100000000001 1000000000001 10000000000001
(if x <= 0 then 1 else (x - (x mod ((((x * 2) mod ((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 0) + 1)) * 2) + 1))))
A325962: 1 1 0 3 0 5 0 7 7 9 0 11 0 13 10 15
(((if x <= 0 then 2 else ((((loop(\(x,i).((x * 2) * 2),x,1) mod ((x * 2) + 1)) + 1) div (2 + 1)) + 1)) div 2) + 1)
A103961: 2 1 1 1 2 1 1 2 1 1 2 1 4 3 1 1
((((loop(\(x,i).((((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) * x) + 1),(x * 2),1) div (2 + 1)) + 1) div 2) + 1)
A137823: 1 2 3 7 8 21 61 62 183 547 548 1641 4921 4922 14763 44287
((((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * 2),(x div 2),(((x mod 2) + 2) + 1))) div (x + 1)) + 1) div 2) - 1)
A000633: 1 1 3 7 18 42 109
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2)) - 1)
A332197: 7 979 99799 9997999 999979999 99999799999 9999997999999 999999979999999 99999999799999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 2 else ((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) - 1)) * 2) - 1)
A260191: 3 5 13 17 21 29 37 45 49 53 61 65 69 77 81 85
((((loop(\(x,i).(loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)),1,(x + 1)) div 2) + 1) div 2) + 1)
A335079: 1 1 2 1 2 1 3 2 2 1 4 1 2 2 5 1
(((((loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1) + 2) * 2) + 1) * 2) + 1)
A241680: 15 19 43 139 2059 8203 131083 524299 8388619 536870923 2147483659 137438953483 2199023255563 8796093022219 140737488355339 9007199254741003
(loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1))
A166456: 1 2 6 12 30 60 124 248 510 1020 2044 4088 8188 16376 32760 65520
((((if x <= 0 then 0 else (loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1)) + 2) * (2 + 1)) div (((2 + 1) * 2) + 1))
A340717: 0 1 1 2 1 3 2 4 1 5 3 6 2 6 4 7
(loop(\(x,i).((x + 1) * x),1,(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) div 2) + 1) * 2)) - 1)
A039914: 5 5 19 41 109 155 271 341 505 811 929 1331 1639 1805 2161 2755
((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),2,x) + ((x * 2) * (2 + 1))),x,1) div 2) + 1)
A282839: 1 65 6796
((loop(\(x,i).((x - ((1 - (x * 2)) * 2)) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * 2) - 1)
A332195: 5 959 99599 9995999 999959999 99999599999 9999995999999 999999959999999 99999999599999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((loop(\(x,i).(x * 2),(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2),1) div 2) + 1) mod (x + 1)) div 2) + 1)
A292583: 1 1 2 1 2 2 3 1 1 2 4 2 4 3 3 1
loop(\(x,i).(x * x),1,((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 1))
A078615: 1 4 9 4 25 36 49 4 9 100 121 36 169 196 225 4
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) div 2) + 1)
A088762: 2 4 7 10 19 22 34 40 49 52 55 64 82 97 112 115
((loop(\(x,i).(x - (x div ((2 + 2) * (2 + 1)))),x,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) + 1)
A334867: 1 1 2 1 3 2 4 1 5 3 6 2 6 4 6 1
(if (x mod 2) <= 0 then ((((((x - 1) mod (2 + 2)) + 1) * (((2 + 1) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040754: 27 1 26 1 54 1 26 1 54 1 26 1 54 1 26 1
(if (x mod 2) <= 0 then ((((((2 - x) mod (2 + 2)) * 2) * (((2 + 1) * 2) + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040855: 29 1 2 1 58 1 2 1 58 1 2 1 58 1 2 1
(if (x mod 2) <= 0 then ((((((((2 - x) mod (2 + 2)) * 2) + 1) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040865: 29 1 10 1 58 1 10 1 58 1 10 1 58 1 10 1
(((((((loop(\(x,i).(x * x),1,(loop(\(x,i).((x * 2) * 2),x,2) + 2)) div 2) div 2) + 1) + 2) * 2) * 2) + 1)
A225928: 29 113 1169 16913 264209 4202513 67141649 1073872913 17180393489 274880004113 4398054899729 70368777732113 1125900041060369 18014399046352913 288230378299195409 4611686018427387903
(x - (((((loop(\(x,i).loop(\(x,i).(x div ((x mod 2) - 2)),x,(x + 1)),2,x) mod (x + 1)) + 2) div 2) div 2) - 1))
A288773: 1 2 2 4 4 5 5 8 8 8 9 9 11
((((loop(\(x,i).((x + 2) * x),1,loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * i),x,1)) div 2) div 2) div 2) + 1)
A001121: 1 1 2 2 37 722
((x * 2) - ((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((((x + 1) div 2) div 2) + 2) + 2)) - 1))
A323956: 1 3 1 7 4 1 13 9 5 1 21 16 11 6 1 31
((((((if x <= 0 then 2 else loop(\(x,i).((x * x) * x),1,((((2 + 1) * 2) + 1) * 2))) + 2) + 2) + 2) * 2) + 1)
A062659: 17 5501
(((x - ((((if (x mod 2) <= 0 then (if (x mod (2 + 1)) <= 0 then 1 else x) else (2 + 1)) + (x div 2)) div 2) div 2)) div 2) + 1)
A077105: 1 1 2 2 2 3 3 4 3 5 4 5 6 6 5 7
((loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x),1,(x - 1)) * x) div (((2 + 2) * 2) + 1))
A271040: 0 0 0 0 0 0 10 70 280 840 2100 4620 9240 17160 30030 50050
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (i + 1))),x,x) + 1),x) + 1) * (2 + 2)) + 1)
A186294: 9 21 37 45 49 57 69 97 117 121 129 141 157 169 177 201
(if x <= 0 then 1 else ((((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) * 2) + 1) * ((2 + 2) + 1)))
A082476: 1 5 5 5 5 25 5 5 5 25 5 25 5 25 25 5
(loop(\(x,i).(x * x),1,(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (2 + 1))) * ((2 + 2) + 1))
A178632: 45 5445 554445 55544445 5555444445 555554444445 55555544444445 5555555444444445 555555554444444445 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) + 1) * ((2 + 2) + 1))
A093194: 50 130 250 610 850 1450 1810 2650 4210 4810 6850 8410 9250 11050 14050
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),(x div 2),1)) * ((2 + 2) + 1))
A240437: 0 20 100 600 3000 15500 77500 390000 1950000 9762500 48812500 244125000 1220625000 6103437500 30517187500 152587500000
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))))
A017507: 31381059609 204800000000000 25408476896404831 717368321110468608 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x) * (2 + 2)) + 1)
A186297: 1 5 9 21 29 33 41 53 65 69 81 89 105 113 125 141
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)) * (((x * 2) * 2) + 1))
A267980: 1 5 36 325 3332 37044 435600 5337189 67481700 874644628 11566330256 155510720820 2120180615056 29250721730000 407699870875200 5733391194015525
(if (x mod (2 + 2)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else (((x mod 2) * 2) + 1))
A040770: 28 3 1 3 56 3 1 3 56 3 1 3 56 3 1 3
((if x <= 0 then 1 else ((((x mod (((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) * 2)) - 1) * 2) - 1)) mod (2 + 1))
A228817: 1 2 1 0 2
A000925: 1 2 1 0 2 2 0 0 1 2 2 0 0 2 0 0
((loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div (2 + 1)) mod (2 + 1))
A024712: 1 2 2 1 0 0 1 2 1 0 1 2 2 0 1 2
(((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 2)) div 2) * ((x + 2) + 1)) div (2 + 1))
A085374: 1 12 100 700 4410 25872 144144 772200 4011150 20323160 100876776 492156392 2366136500 11232648000 52739956800 245240799120
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2)) + 1) div (2 + 1))
A167379: 2 4 6 10 14 20 24 34 36 46 50 60 64 66 76 80
(if x <= 0 then 1 else ((compr(\x.(loop(\(x,i).(x * x),2,((((x mod 2) + 2) * 2) * 2)) mod (x + 1)),x) + 1) * (2 + 1)))
A187778: 1 6 12 18 24 36 48 54 72 96 108 144 162 192 216 288
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(((x * x) + 2) * x),2,(x * 2)) mod (x + 1)),x) + 1)) * (2 + 1))
A018230: 3 12 27 48 108 192 432 1728
(((loop(\(x,i).(if x <= 0 then 1 else (((((i * 2) - 1) * x) * 2) mod (i + 1))),x,0) + 1) * (x + 1)) mod (2 + 1))
A033762: 1 1 0 2 1 0 2 0 0 2 2 0 1 1 0 2
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(((((i + 2) + 2) + 1) * i) + x),(x + 1),0) div 2)) div (2 + 1))
A080421: 1 10 66 360 1755 7938 34020 139968 557685 2165130 8227494 30705480 112842639 409209570 1466777160 5203870272
((((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * (2 + 1)) + 2) * (2 + 1))
A059144: 15 24 15 33 15 24 15 42 15 24 15 33 15 24 15 51
(((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) * ((x + 2) + 1)) div 2) div (2 + 1))
A006542: 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))))
A017483: 1977326743 64268410079232 12200509765705829 419430400000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((((x div 2) + 1) * 2) div (2 + 1)))
A033302: 2 2 3 3 5 5 5 5 7 7 11 11 11 11 13 13
((((if x <= 0 then 1 else loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (2 + 1)),(x - 2),x)) + 1) * 2) mod (2 + 1))
A073265: 1 1 0 0 1 0 1 2 0 0 0 1 1 0 0 0
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),(((x * 2) * 2) * 2)) * 2) + (2 + 1))
A031912: 3 29 61 101 139 181 229 271 317 373 421 463 521 577 619 673
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)))
A315701: 1 6 12 17 23 28 34 40 46 52 57 63 68 74 80 86
(((loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),(x - 2),x) * (x - 1)),1,(x - 1)) * x) div 2) div (2 + 1))
A081143: 0 0 0 1 20 250 2500 21875 175000 1312500 9375000 64453125 429687500 2792968750 17773437500 111083984375
(loop(\(x,i).((x - (i - 1)) * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138419: 4 24 200 784 4840 9464 27744 43320 93104 235480 307520 624264 941360 1138984 1625824 2629224
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) * (((2 + 1) * 2) + 1)) + 1)),x,(2 + 1))
A037115: 3 106 53 1856 928 464 232 116 58 29 1016 508 254 127 4446 2223
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)) + 1)),x,(2 + 1))
A037120: 3 136 68 34 17 766 383 17236 8618 4309 193906 96953 4362886 2181443 98164936 49082468
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)) + 1)),x,(2 + 1))
A037117: 3 118 59 2302 1151 44890 22445 875356 437678 218839 8534722 4267361 166427080 83213540 41606770 20803385
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (x - ((((x - (((x * 2) * 2) * 2)) * 2) * 2) - 1))),x,(2 + 1))
A037112: 3 88 44 22 11 320 160 80 40 20 10 5 146 73 2118 1059
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (1 - (x - (((((x * 2) * 2) * 2) * 2) * (2 + 1))))),x,(2 + 1))
A037121: 3 142 71 3338 1669 78444 39222 19611 921718 460859 21660374 10830187 509018790 254509395 11961941566 5980970783
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * x) * 2) + 1))),x) div (2 + 1))
A056906: 0 1 2 6 8 12 13 16 19 21 27 28 33 34 41 43
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * x) + 1)),x,(2 + 1))
A037118: 3 124 62 31 1272 636 318 159 6520 3260 1630 815 33416 16708 8354 4177
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x) + 1)),x,(2 + 1))
A037116: 3 112 56 28 14 7 260 130 65 2406 1203 44512 22256 11128 5564 2782
loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) + 1)),x,(2 + 1))
A037122: 3 148 74 37 1814 907 44444 22222 11111 544440 272220 136110 68055 3334696 1667348 833674
(compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) * (x + 1)))),x) div (2 + 1))
A056900: 0 1 2 3 5 6 7 9 13 16 17 18 19 20 24 28
loop(\(x,i).(x div (2 - (x mod 2))),(x + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)))
A057024: 3 1 3 1 3 7 9 5 3 15 1 19 21 11 3 27
((((loop(\(x,i).(x * 2),x,loop(\(x,i).((x div 2) + x),x,(2 + 2))) div 2) + 1) div (2 + 1)) + (x div (2 + 1)))
A181490: 1 2 6 18
A156989: 1 2 6 18 52 150 450
loop(\(x,i).(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * ((i * 2) + 1)) + x),x,(2 + 1))
A083215: 3 12 37 86 185 328 549 834 1225 1776 2427 3278 4303 5464 6827 8470
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x) * 2) + 1)
A230076: 1 3 7 9 13 15 25 27 37 39 43 45 49 57 67 69
((((loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 2)) + 1) + x) * 2) + 1)
A107744: 7 13 19 5 31 37 43 7 5 61 67 73 79 5 7 97
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(x - (x div (((1 - x) div 2) - 1))))
A261123: 2 5 7 13 17 19 23 29 31 37 41 43 47 53 59 61
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x + 1) * x) - 1))),x) * 2) + 1)
A002731: 3 5 9 11 15 19 25 29 35 39 45 49 51 59 61 65
((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) * (x + 1)))),x) * 2) - 1)
A225227: 1 7 13
A129389: 1 7 13 19 31 37 43 55 79 97 103 109 115 121 145 169
loop(\(x,i).((x * x) * x),1,(loop(\(x,i).((((((x * x) + 1) * x) * ((2 + 2) + 1)) + 1) * 2),x,2) + 1))
A050650: 27 1092727 4611686018427387903 4611686018427387903
((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x) * 2) + 1)
A024896: 1 3 5 9 11 15 17 21 23 33 35 39 45 47 53 57
(((((((loop(\(x,i).(x * 2),1,loop(\(x,i).(i * x),(x - 1),1)) - 1) div (x + 1)) * x) + 2) * x) div 2) + 1)
A109302: 1 2 3 4 21 93
loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1)
A161744: 1 2 44 1854 14684570 2290792932 130850092279664 44750731559645106 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1)
A271512: 10 20 56 120 364 560 1140 1540 2600 4960 5984 9880 13244 15180 19600 27720
(loop(\(x,i).((((x + 1) * 2) * (2 + 1)) + x),(x + 2),2) - loop(\(x,i).(((2 + 1) * x) + 2),(x + 2),1))
A341552: 129 975 7041 49935 351489 2466255 17281281 121021455 847307649 5931625935 41522798721 290663842575 2034659652609 14242655832015 99698705615361 697891283681295
(((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) + x) * (2 + 1)) div ((x + 2) + 1))
A333600: 1 2 3 2 3 2 4 2 3 2 4 2 5 2 3 2
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x + 2),2) * ((x + 2) + 1)) * ((x + 2) + 1))
A202194: 108 640 3500 18144 90552 439296 2084940 9724000 44710952 203164416 914004728 4077035200 18052470000 79420170240 347424465420 1512176830560
(loop(\(x,i).(((x * 2) * 2) - (x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))),(x div 2),1) * ((x mod 2) + 1))
A018268: 1 2 3 6 11 22 33 66
A018613: 1 2 3 6 11 22 33 66 121 242 363 726
((if (x mod (2 + 1)) <= 0 then ((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) else 2) div ((x mod 2) + 1))
A040633: 25 1 2 25 2 1 50 1 2 25 2 1 50 1 2 25
(((if (x mod (2 + 1)) <= 0 then ((((2 + 1) * 2) * (2 + 1)) + 1) else 1) * (if x <= 0 then 1 else 2)) div ((x mod 2) + 1))
A040367: 19 1 2 19 2 1 38 1 2 19 2 1 38 1 2 19
(((if (x mod (2 + 2)) <= 0 then (((((2 + 2) * 2) * 2) * 2) - 1) else 1) * (if x <= 0 then 1 else 2)) * ((x mod 2) + 1))
A040943: 31 4 2 4 62 4 2 4 62 4 2 4 62 4 2 4
(compr(\x.(1 - ((x + 1) mod (((loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x) - 1) mod (x + 1)) + 1))),x) + 1)
A194470: 3 7 8 11 13 14 15 19 21 22 23 24 27 28 29 31
(compr(\x.(2 - ((if x <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,1) mod (x + 1)) div 2) + 1) * 2)) mod (2 + 1))),x) + 1)
A162721: 2 3 4 5 7 8 11 13 16 17 19 23 27 29 31 32
loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016268: 1 24 421 6516 94297 1308720 17653357 233276172 3035108833 39015048456 496711748533 6274383820068 78744877055209 982913508020832 12212686913191549 151147215944655804
loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016254: 1 19 266 3326 39387 452865 5118772 57267292 636665813 7050403151 77883989118 859030761498 9465486544879 104233389172477 1147358541148904 12626482774399544
loop(\(x,i).((loop(\(x,i).((((x * 2) * 2) - (x div (0 - 2))) * 2),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A081035: 1 17 209 2273 23201 228017 2186609 20620673 192174401 1775688017 16304021009 148995991073 1356782533601 12321773100017 111671069983409 1010465414433473
loop(\(x,i).((((x * x) * 2) * ((2 + 2) + 1)) + x),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A259937: 11 1221 123321 12344321 1234554321 123456654321 12345677654321 1234567887654321 123456789987654321 4611686018427387903 4611686018427387903 4611686018427387903
A261138: 11 1221 123321 12344321 1234554321 123456654321 12345677654321 1234567887654321 123456789987654321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1) div (2 + 1)) + x) + 1),x,1)
A033053: 1 3 6 7 13 15 26 27 30 31 53 55 61 63 106 107
(if ((x div ((2 + 2) + 1)) * 2) <= 0 then (x * 2) else (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))
A331417: 0 2 4 6 8 11 13 17 19 23 29 31 37 41 43 47
(compr(\x.((loop(\(x,i).((x * x) * x),1,loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2))) - 1) mod (x + 1)),x) + 1)
A027897: 1 3 7 9 11 13 21 27 33 37 39 63 77 91 99 101
(compr(\x.((loop(\(x,i).((x * x) * x),1,loop(\(x,i).((x * x) * (2 + 2)),2,(2 + 2))) - 1) mod (x + 1)),x) + 1)
A003547: 1 3 7 9 21 43 49 63 127 129 147 301 337 381 387 441
(compr(\x.(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(2 + 1),(((x + 1) * x) + 2)) * x),2,1) mod (x + 1)),x) + 1)
A128170: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29
(compr(\x.(loop(\(x,i).(((x * 2) + 1) * x),1,(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) mod (x + 1)),x) + 1)
A193622: 1 2 3 5 7 10
A117286: 1 2 3 5 7 10 11 13 17 19 23 29 31 37 39 41
(compr(\x.(((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * x),2,((2 + 2) + 1))) * x) + 2) mod (x + 1)),x) + 1)
A335878: 1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26
(compr(\x.(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(i + 1),x) + 1) * x),2,x) mod (x + 1)),x) + 1)
A018596: 1 3 7 9 11 21 33 63 77 99 231 693
loop(\(x,i).(((((x * 2) * 2) * (2 + 1)) * (2 + 1)) + loop(\(x,i).(((x * 2) * (2 + 1)) + 1),i,1)),x,1)
A022220: 1 43 1591 57535 2072815 74630671 2686760143 96723701071 3482055254095 125354001240655 4512744117222991 162458788655384143 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * 2) * 2) + loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1)),x,1)
A022242: 1 73 4745 304265 19477641 1246606473 79783113865 5106121684105 326791806956681 20914675798619273 1338539252338766985 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * 2),(((x - 1) * x) div 2),1) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1))
A326250: 0 0 0 3 50 982 32636 2096723
(loop(\(x,i).((((i * 2) - 1) * x) * 2),x,1) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1))
A089833: 0 1 10 115 1666 30198 665148 17296851 518916970 17643220738 670442556004 28158587998814 1295295050441588 64764752531737100 3497296636751245560 4611686018427387903
(compr(\x.(loop(\(x,i).(((loop(\(x,i).((x * 2) * 2),i,1) + x) div ((x * 2) + 1)) + x),(x + 1),1) mod 2),x) + 1)
A231407: 1 4 6
A320985: 1 4 6 8 9 10 11 12 14 15 20 21 24 25 28 29
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) - 1) * 2))),x) - 1)
A127575: 1 2 4 7 11 13 14 16 22 23 26 28 29 37 44 46
(compr(\x.((loop(\(x,i).((loop(\(x,i).((x * x) + 1),2,(2 + 1)) * (x + 1)) - 1),2,1) mod (x + 1)) - 2),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A295298: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 25
loop(\(x,i).(loop(\(x,i).(((((((x * 2) * 2) * 2) * 2) * 2) * 2) + 1),i,1) - (((x * 2) * 2) * 2)),x,1)
A015259: 1 57 3705 236665 15150201 969583737 62053592185 3971428035705 254171409198201 16266970069380217 1041086085394771065 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A016262: 1 21 322 4362 55363 675423 8027524 93683604 1078947205 12304267305 139269572806 1567268992926 17557692150727 195994212714867 2181672731375368 24230027568735528
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * 2)))),x) - 1)
A102700: 1 2 5 7 8 10 13 14 17 19 22 23 26 34 35 37
loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1),i,1) + x) + ((x * 2) * 2)),x,1)
A006111: 1 31 806 20306 508431 12714681 317886556 7947261556 198682027181 4967053120931 124176340230306 3104408566792806 77610214474995931 1940255363400777181 4611686018427387903 4611686018427387903
(loop(\(x,i).((if (((x + 2) * x) mod (((((x mod 2) * 2) * 2) * 2) + 1)) <= 0 then (x + 1) else 0) + x),2,x) + 1)
A085050: 2 2 6 4 20 6 14 16 18 20 22 12 52 14 30 16
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) + 2))),x) + 1)
A024914: 1 2 4 5 7 10 11 13 14 16 17 20 23 26 28 31
loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016265: 1 22 353 4994 66045 837606 10324777 124683658 1482631349 17420055950 202731726561 2341160103282 26863872247213 306613705830454 3483861875246105 39433591738818266
loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) + (x mod (2 + 1))),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A081036: 1 19 262 3196 36568 402544 4320352 45562816 474502528 4896020224 50168161792 511345294336 5190762354688 52526098837504 530208790700032 5341670325600256
loop(\(x,i).((((((2 + 2) + 1) * x) * 2) + 1) * (x + 1)),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A319667: 22 1111 101101 10011001 1000110001 100001100001 10000011000001 1000000110000001 100000001100000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A332123: 3 232 22322 2223222 222232222 22222322222 2222223222222 222222232222222 22222222322222222 2222222223222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * x) div (2 + 2)) mod (x + 1)),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1))
A292411: 1 4 2 3 10 13 5 6 22 8 28 31 11 12 40 15
loop(\(x,i).((((x * 2) * 2) + 1) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A267217: 10 27 85 175 451 637 1105 1387 2047 3277 3751 5365 6601 7267 8695 11077
loop(\(x,i).(((x * x) * (x + 2)) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A244509: 6 48 480 2016 13200 26208 78336 123120 267168 682080 892800 1822176 2755200 3337488 4773696 7738848
loop(\(x,i).(((x * x) div (2 + 2)) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A331764: 0 1 12 45 225 396 960 1377 2541 5292 6525 11340 15600 18081 23805 34476
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + ((x + 2) * x)) + 1)
A106587: 5 13 34 65 146 205 338 425 610 941 1082 1513 1850 2045 2434 3065
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - ((x + 2) * x)) - 1)
A106588: 3 5 16 33 96 133 240 297 448 741 840 1225 1512 1653 1984 2553
(loop(\(x,i).(x * x),2,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (((x + 2) * x) + 1))
A186418: 1 4 144 10000 960400 112021056 14876193024 2167749739584 338710896810000 55880440123393600 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (((x + 2) * x) + 1))
A178445: 0 1 7 1 21 25 44 41 43 41 114 73 160 85 184 249
(2 - loop(\(x,i).loop(\(x,i).((((x div (2 + 2)) * (2 + 1)) div 2) + ((x - 1) div (2 + 1))),1,(x * 2)),x,1))
A175539: 1 2 3 5 8 12 17 25 36 51 73 104 148 210 297 421
((if x <= 0 then 0 else (((if (((((x div 2) + x) div 2) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) - (x mod 2)) + x)) + 1)
A161765: 1 2 4 4 6 6 9 8 10 10 12 12 15 15 16 16
((loop(\(x,i).(if x <= 0 then 1 else ((x - (((x div (2 + 1)) + x) div ((2 + 2) + 1))) * 2)),x,0) + 1) div (x + 1))
A286225: 1 1 1 1 1 1 2 3 4 5 7 9 13 18 25 34
(((loop(\(x,i).(if (x mod (((i mod 2) + 2) + 1)) <= 0 then 1 else x),x,(x + 1)) div ((2 + 2) + 1)) + 1) * (x + 1))
A241083: 1 2 3 4 10 6 14 8 9 30 33 12 39 42 15 16
(((loop(\(x,i).(x * 2),x,1) - (if x <= 0 then 0 else (((((x mod (2 + 1)) - 1) * x) div 2) - 1))) - 1) div (x + 1))
A056303: 0 1 1 2 3 5 9 16 28 51 93 170 315 585 1091 2048
(loop(\(x,i).((x * 2) * 2),x,((loop(\(x,i).(((((2 + 1) * x) + 2) * 2) * 2),x,1) * 2) - 1)) * (x + 1))
A015704: 1 312 23760
((((loop(\(x,i).(x * x),2,(((x * x) * (x * x)) + 1)) div loop(\(x,i).(x * 2),x,1)) div 2) + 1) mod (x + 1))
A275377: 0 1 1 2 1 1 1 5 4 6
((loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1)) * (x + 1))
A033504: 1 10 66 372 1930 9516 45332 210664 960858 4319100 19188796 84438360 368603716 1598231992 6889682280 29551095248
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) + loop(\(x,i).((x + 1) * 2),x,1)) - (x + 1))
A242429: 1 5 17 53 167 550 1899 6809 25067 93902 355775 1358208 5212573 20082860 77607895 300638481
(2 - (((if x <= 0 then 0 else (((loop(\(x,i).((x + 2) * 2),(x - 1),0) + 1) mod (x + 1)) + 1)) * 2) div (x + 1)))
A345079: 2 0 0 1 0 2 0 1 1 2 0 2 0 2 2 1
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),((2 + 1) * 2),2) * (x + 1))
A147574: 510510 1021020 1531530 2042040 2552550 3063060 3573570 4084080 4594590 5105100 5615610 6126120 6636630 7147140 7657650 8168160
((loop(\(x,i).(x * x),1,loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1)) * (x + 2)) * (x + 1))
A135389: 2 24 300 3920 52920 731808 10306296 147232800 2127513960 31031617760 456164781072 6749962774464 100445874620000 1502052155856000 22557604697766000 340044833169460800
loop(\(x,i).((2 - ((x mod 2) * x)) * x),(((x div 2) * x) mod 2),loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))
A040026: 1 1 3 1 5 3 7 1 9 5 11 ~3 13 7 15 1
((if x <= 0 then 1 else (loop(\(x,i).(((x div ((((x div 2) div (2 + 1)) + 2) + 1)) + x) + 1),x,1) - 1)) + (x - 1))
A260706: 0 1 3 6 9 12 16 20 25 30 35 40 45 51 57 63
loop(\(x,i).loop(\(x,i).(((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)),1,(((x - 1) * x) div 2)),1,(x - 1))
A093566: 0 0 0 0 1 20 120 455 1330 3276 7140 14190 26235 45760 76076 121485
((if x <= 0 then 0 else (loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),(x - 2)) div 2)) * (x - 1))
A002740: 0 0 0 2 15 84 420 1980 9009 40040 175032 755820 3233230 13728792 57946200 243374040
loop(\(x,i).((((loop(\(x,i).(((x + 1) * x) div 2),2,(((2 + 1) * 2) + 1)) + 1) mod (x + 1)) + 1) * x),x,1)
A106037: 1 2 6 12 60 2520
((((loop(\(x,i).((2 + 1) * x),(x - 1),x) * (x - 1)) div 2) div (2 + 1)) + loop(\(x,i).((2 + 1) * x),x,1))
A188545: 1 3 10
A081909: 1 3 10 36 135 513 1944 7290 26973 98415 354294 1259712 4428675 15411789 53144100 181752822
loop(\(x,i).(((x * x) * x) * (x * x)),1,((((x * 2) * 2) * (2 + 1)) + loop(\(x,i).((2 + 1) * x),x,1)))
A137468: 1 759375 39135393
loop(\(x,i).(loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) * (((2 + 1) * 2) + 1)),i,1) + x),x,1)
A112701: 1 8 106 1821 35435 741329 16270997 369570944 8613236374 204812473608 4949266755812 121188396669810 3000342229924222 74979188061284522 1888846103011564082 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((((i * 2) - 1) * x) * 2) div (i + 1)) * (((2 + 2) * 2) + 1)),i,1) + x),x,1)
A112703: 1 10 172 3817 95671 2575729 72725941 2124619642 63681430672 1947319848190 60511350647386 1905278320822060 60654011063307832 1949006134928921932 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * ((2 + 2) + 1)),i,1) + x),x,1)
A112704: 1 11 211 5211 145211 4345211 136345211 4426345211 147426345211 5009426345211 172969426345211 6051569426345211 214063569426345211 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((if ((x + 2) mod ((2 + 1) * 2)) <= 0 then 0 else 1) - 1) + (((x * 2) * 2) * 2)) + x) + x),x,1)
A105694: 1 10 99 990 9900 99000 990000 9900000 99000000 990000000 9900000000 99000000000 990000000000 9900000000000 99000000000000 990000000000000
loop(\(x,i).(loop(\(x,i).((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1),1,i) + x),x,1)
A219729: 1 2 3 5 6 8 9 11 14 16 17 20 21 23 26 30
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * 2)
A332120: 0 202 22022 2220222 222202222 22222022222 2222220222222 222222202222222 22222222022222222 2222222220222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - ((1 - (x * 2)) * ((2 + 2) + 1))),x,2) + loop(\(x,i).(((2 + 1) * x) + 1),x,0)) div 2)
A082724: 1 9 93 1005 11001 120849 1328853 14615925 160770801 1768465689 19453083213 213983797245 2353821415401 25892034506529 284812376383173 3132936130648965
(loop(\(x,i).(x * 2),(((((x - (x mod (((x mod 2) - 2) - 1))) div 2) div 2) + (if x <= 0 then 0 else 1)) + 1),1) div 2)
A039593: 1 2 2 4 4 4 4 8 8 8 16 16 16 16 16 32
((loop(\(x,i).(x * 2),x,(((1 - ((x mod 2) - loop(\(x,i).((x + 2) * 2),(x - 1),0))) * 2) + 1)) - 1) div 2)
A267681: 1 0 21 99 471 1935 8031 32319 130431 522495 2094591 8381439 33544191 134189055 536829951 2147368959
((((loop(\(x,i).(x * 2),(((x - ((if x <= 0 then 0 else 2) * (2 + 1))) * 2) - 1),1) + 1) div (2 + 1)) + 1) div 2)
A107247-A107246: 0 0 0 0 0 0 0 1 2 6 22 86 342 1366 5462 21846
(((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) * (2 + 1)) + 1) * 2)
A261971: 8 26 98 218 602 866 1538 1946 2906 4706 5402 7778 9602 10586 12698 16226
(((((loop(\(x,i).(x * 2),x,(loop(\(x,i).(x * 2),x,2) - 1)) div (2 + 1)) + (x + 1)) div (2 + 1)) + 1) * 2)
A280432: 2 4 10 30 114 454
((((((loop(\(x,i).((x - 2) * x),1,loop(\(x,i).(x * 2),x,2)) * x) + 1) * (x + 1)) div (2 + 1)) + 1) + 2)
A245646: 3 9 100 900
((if x <= 0 then 0 else (((((((loop(\(x,i).(x * 2),x,x) mod (x + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)) + 2)
A323466: 2 3 3 3 4 4 4 3 4 5 5 4 5 5 5 3
((if x <= 0 then 2 else ((((if x <= 0 then 1 else ((x mod (((x div (2 + 2)) * 2) - 1)) * 2)) * 2) div (2 + 1)) + 1)) div 2)
A294141: 1 0 0 0 0 0 0 0 1 0 1 1 1 2 3 0
(((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) * (2 + 1)) + 1) * 2)
A112772: 14 26 38 62 74 86 122 134 146 158 194 206 218 254 278 302
((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) + loop(\(x,i).(x * 2),((x * 2) - 1),1)) div 2)
A114121: 1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 21977516 87167164 345994216
(1 - ((((loop(\(x,i).(if (x mod 2) <= 0 then (((2 - x) * (2 + 2)) + 1) else (x div 2)),x,0) + 1) div 2) + 1) div 2))
A078052: 1 ~2 0 2 2 ~6 ~2 10 6 ~22 ~10 42 22 ~86 ~42 170
(((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) mod (2 + 1)) + 1)) + 1) div 2) + 1) div 2)
A321258: 0 0 1 0 1 1 0 1 1 2 0 1 1 3 1 0
((if x <= 0 then 2 else (((x mod ((x div ((if (x mod 2) <= 0 then ((x div 2) mod 2) else (2 + 1)) + 1)) + 1)) div 2) + 1)) div 2)
A029353: 1 0 0 0 1 0 1 0 2 0 1 1 3 0 2 1
(((((if x <= 0 then 0 else (((loop(\(x,i).(x - (((i mod 2) - x) div 2)),x,1) div 2) div 2) + 1)) + 1) div 2) + 1) div 2)
A316076: 0 1 1 1 1 1 1 2 2 3 4 6 8 12 18 26
(if x <= 0 then 1 else (((((loop(\(x,i).(i * x),x,(x - ((1 - (x * 2)) * (2 + 1)))) div 2) + 1) div 2) + 1) * 2))
A309514: 1 4 14 56 302
(x div (((((((if (x mod 2) <= 0 then (x * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) mod ((x div 2) + 1)) div 2) + 1) + 2))
A241472: 0 0 0 1 1 1 1 2 1 1 3 2 4 2 3 3
((if x <= 0 then 1 else (((loop(\(x,i).(x * 2),((((2 + 2) * 2) * 2) mod (x + 1)),1) mod (x + 1)) div 2) - 1)) div 2)
A283497: 0 ~1 0 ~1 0 0 0 ~1 0 0 2 0 1 0 0 ~1
(x div ((((loop(\(x,i).((x * 2) * 2),(if (x mod (2 + 1)) <= 0 then 1 else 0),(2 + 1)) mod (x + 1)) div 2) + 1) * 2))
A305629: 0 0 1 1 1 1 1 1 2 2 2 2 0 3 3 1
((((((loop(\(x,i).(x - (if ((x div 2) - 2) <= 0 then 0 else 1)),2,x) + x) * ((2 + 2) + 1)) div 2) + 2) + 1) * 2)
A277593: 6 16 26 36 46 56 60 66 76 86 96 106 116 126 136 146
((1 - (if x <= 0 then 0 else (if (x mod (2 + 2)) <= 0 then (((x * 2) + 1) * (x + 1)) else 0))) mod (((2 + 2) + 1) * 2))
A320832: 1 1 1 1 6 1 1 1 8 1 1 1 6 1 1 1
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (((2 + 2) + 1) * 2))
A137807: 4 9 5 9 1 9 9 1 9 1 1 9 1 9 9 9
(loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + x) + 2),x,2) mod (((2 + 2) + 1) * 2))
A096319: 2 5 0 7 8 1 8 7 0 9 0 7 8 1 8 1
(if x <= 0 then 1 else ((((2 + 1) * x) - (((if ((x div 2) - 2) <= 0 then x else ((x + 2) + 2)) + 1) div (2 + 1))) * 2))
A315326: 1 6 10 16 22 26 30 34 40 46 50 56 62 66 72 78
(((((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1) * (if x <= 0 then 1 else 2)) * (2 + 1)) - 2)
A285052: 1 4 4 4 4 16 4 4 4 16 4 16 4 16 16 4
((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) * (2 + 1)) - 2)
A138685: 13 28 34 43 55 58 67 73 76 88 97 100 103 106 118 133
(loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * (if x <= 0 then 1 else 2)) * ((x mod 2) + 1)),1,(x mod (2 + 1))) div 2)
A091720: 8 34 17 8 34 17 8 34 17 8 34 17 8 34 17 8
(((if (x mod 2) <= 0 then ((2 + 1) * 2) else ((0 - 2) - 2)) + loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 1))) div 2)
A189744: 4 5 40 185 940 4685 23440 117185 585940 2929685 14648440 73242185 366210940 1831054685 9155273440 45776367185
(loop(\(x,i).(x div 2),(x mod 2),(if (x mod (((2 + 1) * 2) + 1)) <= 0 then ((((2 + 2) + 1) * x) + 2) else 1)) div 2)
A340982: 1 0 0 0 0 0 0 9 0 0 0 0 0 0 36 0
(1 - (((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 0 else (if (x - (2 + 1)) <= 0 then x else 2)) + 1) div 2))
A127253-A117945: 1 0 1 ~1 0 1 0 0 0 1 0 0 0 0 1 0
(((((((loop(\(x,i).(x * x),1,loop(\(x,i).(x - ((i * x) + 1)),x,2)) + x) + 1) div 2) + x) div 2) + 1) div 2)
A231074: 1 1 1 1 2 12 244
(((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x) * 2) + 1) * 2)
A186296: 2 6 10 22 30 34 42 54 66 70 82 90 106 114 126 142
(if ((x div 2) - 1) <= 0 then loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) else (((x * 2) - 1) * 2))
A089410: 1 1 2 5 14 18 22 26 30 34 38 42 46 50 54 58
loop(\(x,i).(if x <= 0 then 1 else (((x + 2) * 2) * 2)),1,((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2))
A174096: 1 1 1 1 12 1 1 12 12 1 1 12 16 12 1 1
(if x <= 0 then 1 else loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + 1),2))
A267584: 1 2 4 2 8 4 4 2 16 8 8 4 8 4 4 2
((loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),((i * 2) + 1),1) + x),x,2) + 1) * 2)
A066797: 6 76 1000 13870 198626 2902782 43019382 644099772 9719235072 147565763892 2251664727612 34499268410712 530417801358816 8179108402119256 126443689966980680 1959067830909571214
(if x <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x - 1),(((2 + 1) * x) - 1)) * 2))
A028283: 1 4 10 32 110 392 1428 5280 19734 74360 281996 1074944 4115020 15808912 60917800 235350720
((compr(\x.(2 - ((loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),2) - 1) mod (x + 1))),x) + 1) * 2)
A076771: 18 24 30 36 40 42 48 50 54 56 60 66 70 72 78 80
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).((x - i) * 2),x,2) mod (x + 1))) mod (x + 1)),x) + 1) * 2)
A062091: 2 4 6 10 14 18 22 26 34 38 46 50 58 62 74 82
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,(x + 2)) - loop(\(x,i).((x * 2) * 2),x,1)) * 2)
A065982: 2 10 48 222 1000 4420 19264 83062 355128 1508028 6368032 26765420 112053968 467531272 1945009408 8070882982
((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x) + 1) * 2)
A309374: 2 4 6 10 12
A107304: 2 4 6 10 12 16 18 22 24 34 36 40 46 48 54 58
(((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1)) * (x + 1)) div 2)
A130783: 0 1 3 10 25 66 154 372 837 1930 4246 9516 20618 45332 97140 210664
(if ((x - 1) mod (2 + 1)) <= 0 then 1 else ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2)))
A331738: 1 1 1 2 1 1 1 1 3 1 1 2 1 1 1 8
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) div 2)
A152106: 1 9 85 837 8521 88929 944605 10155357 110061841 1199150649 13109949925 143644498677 1576134831961 17309800577169 190214028328045 2090997865462797
((compr(\x.((((x + 2) * x) + 1) mod loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x)),x) + 1) * 2)
A066192: 4 8 12 16 24 32 48 56 64 96 112 120 128 192 224 240
((((((loop(\(x,i).((if (i mod ((x mod 2) + 2)) <= 0 then 1 else x) + x),x,0) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A128216: 1 1 2 4 5 10 11 22 23 25 26 52 53 106 107 109
((loop(\(x,i).(x * x),1,((((if ((x div 2) mod (2 + 1)) <= 0 then 0 else 1) + x) + (x div (2 + 1))) + 1)) div 2) div 2)
A010386: 0 1 4 9 12 16
A210607: 0 1 4 9 12 16 20 25 36
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 1) * 2) * 2)
A111046: 16 24 48 72 120 168 240 288 408 432 552 600 720 768 792 912
(if x <= 0 then 1 else (((if x <= 0 then 2 else ((((1 - ((x * 2) div (2 + 1))) mod ((x div 2) + 1)) div 2) + 1)) div 2) * 2))
A028621: 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 4
(((compr(\x.((loop(\(x,i).(x * 2),x,2) mod ((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1)) - 1),x) + 1) * 2) * 2)
A335668: 4 8 16 24 32 48 64 72 96 120 128 144 168 192 216 240
(((loop(\(x,i).(((x * 2) * 2) * 2),x,(loop(\(x,i).(x * 2),((x mod 2) * x),2) - 1)) mod (x + 1)) div 2) * 2)
A074037: 0 0 0 0 0 0 0 0 0 4 0 0 0 10 4 0
(((((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 2)) + x) - 1) * (x + 1)) + 2) + 2)
A088482: 5 4 10 4 9 4 25 4 13 4 26 4 17 4 64 4
((x mod (((loop(\(x,i).(x * 2),(x mod ((2 + 2) * 2)),1) + loop(\(x,i).(x * 2),x,1)) mod (x + 1)) + 2)) div 2)
A343220: 0 0 1 0 0 2 1 0 0 1 1 2 0 2 2 0
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2) + 2)
A046132: 7 11 17 23 41 47 71 83 101 107 113 131 167 197 227 233
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2) * 2)
A167607: 10 18 30 42 78 90 138 162 198 210 222 258 330 390 450 462
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2) + 2)
A031505: 11 17 23 41 47 71 83 101 107 113 131 167 197 227 233 281
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2) div 2)
A111981: 4 7 10 19 22 34 40 49 52 55 64 82 97 112 115 139
(if x <= 0 then 1 else (((((((loop(\(x,i).(x * 2),x,(2 + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) + 2) + 2) + 2))
A076851: 1 11 20 40 88
(((loop(\(x,i).(x * x),1,(loop(\(x,i).(((((2 + 2) + 1) * x) + (i + 1)) * 2),x,2) + 1)) div 2) div 2) div 2)
A077694: 1 78 7626 761995 76205685 7620753696 762078456028 76207888812681 7620789436823655 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((loop(\(x,i).((x * 2) * 2),x,1) - 1) - (((x + 1) * 2) + 1)) - 1),x,1) div 2) + 2) div 2)
A048831: 1 0 1 2 4092
(x div (((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) + ((((x + 1) div 2) div 2) div 2)))
A334203: 0 0 0 1 0 2 0 2 2 3 0 3 0 4 3 3
(((((loop(\(x,i).(x * 2),x,((((loop(\(x,i).(x * 2),x,1) + 2) + 2) * 2) + 1)) + 1) + 2) * 2) * 2) * 2)
A235887: 112 232 568 1624 5272 18712 70168 271384 1067032 4231192 16850968 67256344 268730392 1074331672 4296146968 17182228504
(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + (((2 + 2) * 2) * 2))
A287925: 32 97 641 2417 14657 28577 83537 130337 279857 707297 923537 1874177 2825777 3418817 4879697 7890497
(((loop(\(x,i).(x * x),1,loop(\(x,i).((((i + 2) * (i + 1)) div 2) + x),x,1)) * ((x + 2) + 2)) div 2) div 2)
A108647: 1 20 150 700 2450 7056 17640 39600 81675 157300 286286 496860 828100 1332800 2080800 3162816
((x + 1) div (if (x mod 2) <= 0 then 1 else (loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + ((x div (2 + 2)) * 2))))
A059806: 1 2 3 4 5 1 7 2 9 1 11 1 13 1 15 2
((((((loop(\(x,i).(x * 2),x,((if (x mod (2 + 1)) <= 0 then x else 0) + 1)) mod (x + 1)) + 2) + x) div 2) + 2) div 2)
A045864: 1 1 2 2 2 3 3 3 4 3 4 6 4 5 6 5
((loop(\(x,i).((x - (i - 1)) * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2)
A138420: 3 18 150 588 3630 7098 20808 32490 69828 176610 230640 468198 706020 854238 1219368 1971918
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * loop(\(x,i).((x * x) * (x * 2)),2,(2 + 2)))
A175753: 12582912 20971520 29360128 46137344 54525952 71303168 79691776 96468992 121634816 130023424 155189248 171966464 180355072 197132288 222298112 247463936
((((if x <= 0 then 0 else (if (x mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 2 else 1)) + 1) + (x mod 2)) + (x div (2 + 2)))
A061266: 1 3 2 3 3 4 4 4 4 5 5 5 6 6 5 6
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) * (loop(\(x,i).(((2 + 1) * x) - 1),x,2) div 2))
A185010: 1 2 14 100 854 7644 72204 703560 7037030 71772844 743844452 7810307960 82909630972 888316731800 9593823377880 104332819539600
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2)) * 2)
A332124: 4 242 22422 2224222 222242222 22222422222 2222224222222 222222242222222 22222222422222222 2222222224222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((((if x <= 0 then 2 else (loop(\(x,i).((i + x) * x),2,(2 + 1)) + 1)) mod (x + 2)) div 2) div 2) + x) + 2) div 2)
A037458: 1 1 2 3 3 3 4 5 6 6 6 6 7 8 9 10
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,2) * (loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) + 2))
A332148: 8 484 44844 4448444 444484444 44444844444 4444448444444 444444484444444 44444444844444444 4444444448444444444 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) * x) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138423: 4 27 250 1029 6655 13182 39304 61731 133837 341446 446865 911754 1378420 1669647 2387929 3870802
(loop(\(x,i).(((x * x) div 2) * (x - 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A078837: 0 2 18 60 270 462 1080 1530 2772 5670 6960 11970 16380 18942 24840 35802
(loop(\(x,i).(((x * x) * (2 + 1)) - x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A116995: 5 12 35 70 176 247 425 532 782 1247 1426 2035 2501 2752 3290 4187
(loop(\(x,i).((((x * x) * x) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138417: 7 39 310 1197 7315 14274 41752 65151 139909 353626 461745 937062 1412860 1709379 2439817 3945214
(loop(\(x,i).((((x + 2) + 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A179546: 10 27 100 245 847 1352 2890 3971 6877 13456 16337 27380 36982 42527 55225 78652
(((((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x div 2)) mod (x + 1)) div 2) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314111: 1 5 11 16 21 26 31 36 41 47 52 57 63 68 73 78
((if x <= 0 then 2 else ((x + 1) mod ((if ((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) <= 0 then 1 else 2) + (x mod 2)))) * 2)
A058888: 4 4 2 0 2 0 0 0 2 2 0 0 2 0 0 2
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x div 2),(x mod 2))) * 2)
A202736: 2 2 8 10 32 44 128 186 512 772 2048 3172 8192 12952 32768 52666
(if (x mod (2 + 2)) <= 0 then (((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else ((x mod 2) + 2))
A040828: 29 3 2 3 58 3 2 3 58 3 2 3 58 3 2 3
(compr(\x.(((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod (2 + 1)) - 1),x) + 2)
A171820: 2 4 6 8 11 12 14 18 19 21 22 25 27 29 31 34
(loop(\(x,i).compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),1,((x div (((2 + 2) * 2) + 1)) + x)) + 2)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A102348: 2 3 5 7 11 13 17 19 23 31 37 41 43 47 53 59
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) - 1))),x) * 2)
A024894: 2 6 8 12 14 20 26 30 36 38 42 48 50 54 56 62
(loop(\(x,i).(x * x),1,((if (x - 1) <= 0 then 1 else ((x div 2) - (((x - 1) div ((2 + 2) + 1)) mod 2))) + x)) * 2)
A050804: 2 8 18 32 72 98 128 162 242 288 392 512 648 722 882 968
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * 2)))),x) * 2)
A153355: 4 6 12 16 18 22 28 30 36 40 46 48 54 70 72 76
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,((x + 2) + 1)) - loop(\(x,i).((x * 2) * 2),x,2))
A194460: 1 4 18 82 370 1648 7252 31582 136338 584248 2488156 10540484 44450068 186715072 781628008 3262239862
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) + 2))),x) * 2)
A111224: 0 2 6 8 12 18 20 24 26 30 32 38 44 50 54 60
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2))
A332113: 3 131 11311 1113111 111131111 11111311111 1111113111111 111111131111111 11111111311111111 1111111113111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((if (x div (2 + 2)) <= 0 then 1 else (((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1) div 2)) + x) + 2) + x) + 2)
A026282: 5 7 9 11 14 17 20 23 25 28 30 33 35 38 40 43
(compr(\x.((loop(\(x,i).(x * 2),x,(if (x mod (((2 + 2) * (2 + 1)) + 1)) <= 0 then 1 else 2)) - 1) mod (x + 2)),x) + 2)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A256484-A238242: 2 3 5 7 11 13 17 19 23 29 31 37 43 47 53 59
(compr(\x.((loop(\(x,i).(x * 2),x,(if (x mod (((2 + 2) * (2 + 1)) - 1)) <= 0 then 1 else 2)) - 1) mod (x + 2)),x) + 2)
A322477-A076805: 2 3 5 7 11 17 19 23 29 31 37 41 43 47 53 59
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 1)),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2)
A136268: 2 6 70 924 184756 2704156 601080390 9075135300 2104098963720 7648690600760440 118264581564861424 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x + 1) * x) * ((x * 2) + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A098996: 30 84 330 840 3036 4914 10710 14820 25944 51330 62496 105450 142926 164604 214320 306234
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A297967: 1 1 0 2 1 12 10 4 11 20 25 10 39 36 41 13
loop(\(x,i).(((x * x) * (x * x)) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138407: 16 162 2500 14406 146410 342732 1336336 2345778 6156502 19803868 27705630 67469796 113030440 143589642 224465326 410305012
loop(\(x,i).(((x * x) * x) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138406: 24 216 3000 16464 159720 369096 1414944 2469240 6424176 20486760 28599360 69293304 115787280 146928936 229241184 418046616
loop(\(x,i).(((x div 2) div ((2 + 2) + 1)) + x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A031216: 2 3 5 7 12 14 18 20 25 31 34 40 45 47 51 58
loop(\(x,i).((((x * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138404: 30 240 3120 16800 161040 371280 1419840 2476080 6436320 20511120 28629120 69343920 115856160 147008400 229344960 418195440
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) + x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A268185: 4 6 10 14 12 16 24 28 26 38 32 44 42 46 54 56
loop(\(x,i).((x mod (((2 + 2) + 1) * 2)) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A063482: 4 9 25 49 11 39 119 171 69 261 31 259 41 129 329 159
loop(\(x,i).(((((x * x) * x) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138405: 28 234 3100 16758 160930 371124 1419568 2475738 6435814 20510308 28628190 69342588 115854520 147006594 229342798 418192684
loop(\(x,i).(((x * x) div (2 + 2)) + (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A246010: 5 11 31 61 151 211 361 451 661 1051 1201 1711 2101 2311 2761 3511
loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A092758: 64 729 15625 117649 1771561 4826809 24137569 47045881 148035889
A030516: 64 729 15625 117649 1771561 4826809 24137569 47045881 148035889 594823321 887503681 2565726409 4750104241 6321363049 10779215329 22164361129
compr(\x.((x div 2) - (if (x mod 2) <= 0 then x else (2 + 2))),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A105930: 2 3 5 7 12 16 24 28 36 48 52 64 72 76 84 96
((loop(\(x,i).(((x * 2) * 2) - (x div 2)),x,1) + loop(\(x,i).((x + 1) * 2),x,1)) div (((x + 2) * x) + 2))
A185178: 1 1 2 4 8 18
A338729: 1 1 2 4 8 18 45 119
compr(\x.((x mod (((loop(\(x,i).((if (i - x) <= 0 then 0 else x) + 2),x,1) + (x - 2)) mod (x + 1)) + 1)) - 1),(x + 2))
A258159: 3 5 7 9 15 17 19 21 31 33 63 65 67 71 73 85
((x - ((if (x - 1) <= 0 then x else ((((((2 + 2) * 2) mod (if x <= 0 then 1 else x)) + 1) mod 2) + 1)) - 1)) + (x * 2))
A097911: 1 3 5 8
A022433: 1 3 5 8 11 15 17 21 23 26 29 32 35 38 41 44
((((loop(\(x,i).((x - 1) * 2),x,(loop(\(x,i).((x * 2) * 2),x,(2 + 2)) - 1)) * 2) + 1) + x) + (x * 2))
A290756: 7 60 499 4062 32689 261972 2096791 16776474 134216221 1073738784 8589928483 68719464486 549755789353 4398046461996 35184371990575 281474976514098
(loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1) + x),((x + 1) div 2),1) - (x mod 2))
A276032: 1 2 3 7 8 21 22 63 64 195 196 624 625 2054 2055 6916
(if (((loop(\(x,i).((x * 2) * 2),x,2) - 1) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) mod 2) <= 0 then 2 else (x mod 2))
A287528: 0 1 2 1 0 2 2 1 0 1 0 2 0 1 2 2
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x))),x) * 2)
A089033: 0 2 4 8 10 14 22 28 32 34 38 40 44 50 52 58
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x + 1) * 2) + 1) * x))),x) + 2)
A073338: 2 3 4 9 10 12 15 18 22 30 31 36 37 39 40 46
(compr(\x.(1 - loop(\(x,i).(x - (loop(\(x,i).(((x + 1) * x) div 2),2,((2 + 1) * x)) mod (x + 1))),x,x)),x) + 2)
A275340: 4 7 10 11 13 16 19 21 22 25 28 29 31 34 37 40
((x - (if x <= 0 then 1 else (if (2 - x) <= 0 then (1 - (((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2)) else 0))) - x)
A134323: ~1 0 ~1 1 ~1 1 ~1 1 ~1 ~1 1 1 ~1 1 ~1 ~1
((loop(\(x,i).((if x <= 0 then 1 else (i - (((x * x) mod (x - ((2 - x) div 2))) div (x + 1)))) + x),x,0) + 1) + x)
A061791: 1 3 6 10 15 21 28 36 45 55 66 77 90 104 119 134
(loop(\(x,i).((((if ((x div 2) mod (2 + 1)) <= 0 then 2 else 1) - (x mod 2)) + x) + 1),((x + 1) div (2 + 1)),1) + x)
A187578: 1 2 5 6 7 9 10 11 14 15 16 20 21 22 24 25
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * (2 + 1)) + 1))),x)
A139527: 0 1 2 4 6 7 8 11 12 13 16 19 21 23 27 28
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) * (2 + 1)) - 1))),x)
A111094: 1 2 4 6 7 9 10 11 15 17 21 22 24 27 29 30
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) + (if ((x div ((2 + 2) + 1)) - 2) <= 0 then 1 else x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A154363: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 67
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((x * 2) * 2) * 2) * 2) - 1))),x)
A133869: 3 6 8 11 14 18 20 21 24 29 36 38 39 44 50 53
(if x <= 0 then 1 else loop(\(x,i).(((x * x) * (x * x)) * (x * x)),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x)))
A177081: 1 16777216 387420489
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(((x div 2) div ((2 + 2) + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A100370-A095323: 2 3 5 7 11 13 17 19 23 29 37 41 43 47 53 59
(((loop(\(x,i).(((if x <= 0 then 1 else ((x mod 2) + 2)) * (2 + 1)) * (2 + 1)),(x div 2),(x mod 2)) * 2) + 1) + x)
A135559: 1 4 21 58 59 60 61 62 63 64 65 66 67 68 69 70
((((loop(\(x,i).((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then (x + 2) else 1) + x),x,x) div 2) div 2) + 1) + x)
A082741: 1 2 4 5 7 11 12 14 15 17 21 22 24 25 27 41
compr(\x.((loop(\(x,i).(x div (2 - (x mod 2))),x,(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1))) + 1) mod (2 + 1)),x)
A225838: 5 10 11 15 17 20 22 23 29 30 33 34 35 40 41 44
(((if (((x div (2 + 1)) + 1) mod (2 + 1)) <= 0 then (if (x div (2 + 2)) <= 0 then 2 else (0 - 2)) else 1) * (2 + 1)) + x)
A154660: 3 4 5 6 7 8
A004492: 3 4 5 6 7 8 0 1 2 12 13 14 15 16 17 9
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((((x + 1) div 2) div (2 + 1)) + x))
A042988: 2 3 5 7 11 17 19 23 29 31 37 43 47 53 59 61
((if x <= 0 then 1 else (((loop(\(x,i).((x - (x div (1 - ((2 + 2) * 2)))) * 2),x,1) div 2) + 2) * (2 + 1))) - x)
A076853: 1 11 19 39 86
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - (2 - ((x * 2) * (2 + 1)))))),x)
A138622: 1 3 6 7 10 12 13 16 18 21 22 25 30 31 33 36
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((2 + 2) + 1) * x) * 2) - 1))),x)
A124204: 2 3 5 9 12 14 20 21 23 26 27 30 32 33 35 38
(loop(\(x,i).(i + x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),0) - (((x * 2) + 1) * x))
A161626: 3 3 5 7 30 36 75 85 140 264 286 450 561 595 722 966
(((loop(\(x,i).(x - (if x <= 0 then 0 else ((((((x div 2) + 1) div 2) mod 2) * 2) - 1))),2,x) + (x mod 2)) + 1) - x)
A072175: 1 2 1 0 ~1 0 3 4 3 2 1 0 ~1 0 3 4
loop(\(x,i).loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x + 1)),1,((((x + 1) * x) + 1) * x))
A101355: 1 56 145422675 4611686018427387903 4611686018427387903
compr(\x.(2 - ((0 - loop(\(x,i).(x * 2),x,(if (x mod (((1 - x) mod (2 + 1)) + 2)) <= 0 then 1 else 0))) mod (x + 1))),x)
A275722: 4 6 8 9 10 12 16 18 20 21 22 24 27 28 30 32
(((loop(\(x,i).((x + 1) * 2),x,2) * (if (x - 1) <= 0 then (2 + 1) else 0)) + (((x * x) - 1) * (x + 1))) + x)
A106229: 5 19 11 35 79 149 251 391 575 809 1099 1451 1871 2365 2939 3599
compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) * (x + 1)))),x)
A123986: 1 4 7 10 25 34 37 49 67 70 115 130 142 154 160 202
(loop(\(x,i).(loop(\(x,i).((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)),1,i) + x),x,1) + x)
A059015: 1 1 2 2 4 5 6 6 9 11 13 14 16 17 18 18
loop(\(x,i).(x div 2),(x mod 2),loop(\(x,i).i,((x + 1) mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)),x))
A239062: 1 1 1 2 1 1 1 3 3 1 1 2 1 1 1 7
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * (2 + 1)) + 1) * 2))),x)
A139483: 0 1 3 4 5 6 8 9 11 15 18 19 20 25 26 30
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * (2 + 1)) - 1) * 2))),x)
A131210: 1 2 3 7 8 10 11 13 15 16 18 20 21 25 27 30
(((loop(\(x,i).(((x * 2) div (((2 + 1) * 2) + 1)) + x),2,(if x <= 0 then 1 else ((x * 2) * 2))) + 1) div 2) + x)
A058759: 1 4 8 13
A311817: 1 4 8 13 17 21 25 30 34 39 43 47 51 55 60 65
compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((2 + 1) * x) + 2) * 2) * 2))),x)
A192225: 0 1 2 5
A139532: 0 1 2 5 6 8 11 12 13 15 20 21 22 23 25 26
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((x div (((x div 2) + 2) + 2)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A316787: 2 3 5 7 11 13 17 23 29 31 37 41 43 47 53 59
((if x <= 0 then 1 else (((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)) + (x * 2)) * 2)) + x)
A313982: 1 5 10 17 22 29 34 39 44 49 56 61 68 73 78 83
compr(\x.((loop(\(x,i).(((x + 1) * i) + 1),((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2),1) - (x div 2)) div 2),x)
A004881: 0 1 2 3 4 5 6 7 8 256 257 258 259 260 261 262
((((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(2 + 1)) div ((2 + 2) + 1)) + x) + 2) + x)
A003041: 2 7 24 92 388
(((((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) + 2) + 1) mod (((2 + 1) * x) + 2)) + x)
A066494: 1 3 8 9 12 18 24
(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x))
A255311-A001223: 1 2 2 4 2 4 2 4 6 2 6 4 2 4 6 6
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x))
A033957-A031131: 3 4 6 6 6 6 6 10 8 8 10 6 6 10 12 8
(loop(\(x,i).(x * x),1,((0 - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)) - (x * x))
A163637: 1 3 5 7 20 24 45 51 80 144 156 240 297 315 380 504
(if (x mod 2) <= 0 then ((((((((((x mod (2 + 2)) * 2) - 1) * (x div 2)) div 2) + x) div 2) + 1) div 2) + 1) else 0)
A167156: 1 0 2 0 2 0 4 0 3 0 5 0 3 0 7 0
(((((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) div 2) + (if x <= 0 then 0 else 1))
A321271-A305193: 0 1 1 2 1 1 1 3 2 1 1 2 1 1 1 5
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + x) + (if x <= 0 then 0 else 1))
A222312: 0 2 3 5 5 7 7 10 10 11 11 14 13 15 16 19
((((x div (2 + 1)) + 1) mod ((if (((x + 2) * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 2 else 0) + 1)) - 1)
A080301: 0 ~1 0 ~1 ~1 ~1 ~1 ~1 ~1 ~1 0 ~1 1 ~1 ~1 ~1
((if x <= 0 then 0 else (((((x + 2) * x) div 2) mod ((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) + 1)) + 1)) + 1)
A010553: 1 2 2 2 2 3 2 3 2 3 2 4 2 3 3 2
((x mod ((x mod ((x - (compr(\x.(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)),x) mod (x + 1))) + 1)) + 1)) + 1)
A084309: 1 2 1 2 5 6 1 2 1 2 1 12 1 14 1 4
((x mod ((if x <= 0 then 0 else ((((((x mod 2) * 2) * (x + 1)) mod (((2 + 1) * 2) + 1)) * 2) + 1)) + 1)) + 1)
A281071: 1 2 1 4 1 6 1 2 1 10 1 4 1 2 1 6
((x + 1) - loop(\(x,i).(x * x),1,((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)))
A139716: 0 1 2 0 4 2 6 4 0 6 10 3 12 10 6 0
loop(\(x,i).(x * 2),((x mod ((((((x + 1) mod ((2 + 2) + 1)) * x) div ((2 + 2) * 2)) * 2) - 1)) - 1),1)
A300138: 1 1 1 1 1 1 1 1 1 1 1 2 16 2 1 1
(loop(\(x,i).((x * x) * 2),1,((((((2 + 2) * (x + 1)) - 1) * 2) * (((2 + 2) * 2) + 1)) + 1)) - 1)
A157267: 6049 32257 79201 146881 235297 344449 474337 624961 796321 988417 1201249 1434817 1689121 1964161 2259937 2576449
((if x <= 0 then 0 else (((((1 - ((x mod 2) * 2)) - (x mod (2 + 1))) mod ((x * 2) - 1)) div (2 + 1)) + 1)) + 1)
A344025-A329381-A329353-A329351-A328767-A328315-A327970-A327931-A320014-A319709-A319693-A319682-A319348-A317943-A305895-A305800-A305793-A300835-A300833-A300249-A300245-A300243-A300241-A300235-A300233-A300232-A300231-A296073-A293232-A293226-A293217-A293215: 1 2 2 3 2 4 2 5 6 7 2 8 2 9 10 11
((x mod ((((x + 2) * x) mod ((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 2) * (2 + 1))) + 1)) + 1)
A324284: 1 1 3 1 1 6 1 1 3 2 1 6 1 2 3 1
(x div ((x mod ((loop(\(x,i).((x * 2) * 2),((x - (x div (2 + 2))) div 2),2) mod ((x * 2) + 1)) + 1)) + 1))
A249421: 0 0 0 1 0 0 0 0 0 0 5 2 0 0 0 2
((x mod ((loop(\(x,i).((x * 2) + 1),x,((((2 + 1) * 2) * (2 + 1)) * (2 + 1))) mod (x + 1)) + 1)) + 1)
A343430-A247503: 1 2 1 4 5 2 1 8 1 10 11 4 1 2 5 16
((((x + 2) * x) div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1)
A253560: 1 4 9 8 25 18 49 16 27 50 121 36 169 98 75 32
loop(\(x,i).(x * x),1,((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1))
A246595: 1 1 1 4 1 1 4 9 1 1 1 4 4 4 9 16
((if x <= 0 then 0 else ((((((x + 2) mod ((((x div (2 + 2)) mod 2) + 2) * 2)) + 2) div (2 + 1)) mod 2) + 1)) + 1)
A264843: 1 3 2 3 2 3 3 3 3 3 2 3 3 3 2 2
(x - ((((x * 2) + 1) div (((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)) - 1))
A026242: 1 1 2 3 2 4 3 5 6 4 7 8 5 9 6 10
(((x div (2 + 2)) + 1) div ((if x <= 0 then 0 else (((((2 - x) mod (((2 + 1) * 2) + 1)) div 2) mod 2) + 1)) + 1))
A029346: 1 0 0 0 1 1 0 0 1 1 1 1 2 1 1 2
((if x <= 0 then 0 else (((((((((x - 1) div ((2 + 2) + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1)) + 1)
A085003: 1 2 2 2 2 3 4 4 4 4 5 6 7 7 7 8
((if x <= 0 then 0 else (((((((((((x mod 2) * 2) * 2) * 2) + 1) * 2) mod (x + 1)) + 2) div 2) div 2) + 1)) + 1)
A084966: 1 2 3 3 3 2 3 3 3 4 3 4 3 3 3 3
loop(\(x,i).(x * x),1,((x mod ((((((x + 1) mod ((2 + 2) + 1)) * x) div ((2 + 2) * 2)) * 2) - 1)) + 1))
A174126: 1 1 1 1 1 1 1 4 4 1 1 9 36 9 1 1
((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x div 2),((x mod 2) + 1)) * (((2 + 2) * 2) + 1)) + 1)
A070199: 10 19 109 199 1099 1999 10999 19999 109999 199999 1099999 1999999 10999999 19999999 109999999 199999999
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),x,((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1))
A156531: 1 34 289 19652 83521 2839714 24137569 3282709384 6975757441 237175752994 2015993900449 137087585230532 582622237229761 19809156065811874 168377826559400929 4611686018427387903
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (((((2 + 1) * 2) * ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1))
A036148: 1 6 36 65 88 75 148 133 43 107 38 77 9 54 22 132
((loop(\(x,i).((((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2) + x) + 1),x,1) div ((2 + 2) + 1)) + 1)
A240735: 1 1 1 2 2 3 4 5 6 8 10 13 17 21 27 35
((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) + 1) * 2) * ((2 + 2) + 1)) - 1)
A137558: 49 69 109 149 229 269 349 389 469 589 629 749 829 869 949 1069
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (2 + 1)) div 2) div ((2 + 2) + 1)) + 1)
A227683: 1 1 2 3 4 4 6 6 7 9 10 12 13 13 15 16
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A242127: 2 3 5 7 11 13 17 19 23 0 2 8 12 14 18 24
loop(\(x,i).(x * 2),((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)),1)
A209543: 1 1 1 1 1 1 1 2 2 1 1 4 16 4 1 1
(((if x <= 0 then 1 else (((((x - 1) mod ((x div (2 + 2)) + ((2 + 1) * 2))) * 2) - 1) - 1)) mod (2 + 1)) + 1)
A026146: 2 2 1 3 2 1 3 2 1 2 1 3 3 2 1 3
((((loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),(x div 2),(x mod 2)) * (2 + 1)) + 1) * (2 + 1)) + 1)
A094628: 4 13 40 130 400 1300 4000 13000 40000 130000 400000 1300000 4000000 13000000 40000000 130000000
(((x * 2) - 1) mod (((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1) mod (2 + 1)) + 1))
A035168: 1 1 0 1 0 0 0 1 1 0 1 0 2 0 0 1
(((((if (((x * 2) mod (((x div 2) + 2) + 2)) - 1) <= 0 then 1 else 0) * ((x div 2) + 1)) + 1) mod (2 + 1)) - 1)
A307424: 1 0 0 ~1 0 0 0 1 ~1 0 0 0 0 0 0 0
(((((x + 1) div (((x + 1) div ((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 1)) + 2)) + 1) mod (2 + 1)) - 1)
A332828: 0 1 1 1 1 0 1 ~1 1 ~1 0 ~1 ~1 ~1 ~1 0
((loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) div (2 + 1)) + 1)
A079314: 1 2 2 4 2 4 4 10 2 4 4 10 4 10 10 28
((((if x <= 0 then 1 else (((((x mod ((2 + 2) + 1)) + 1) * (x mod 2)) + x) - 1)) * (x + 1)) mod (2 + 1)) + 1)
A286634: 2 2 1 1 1 1 3 1 1 2 1 1 3 3 1 1
loop(\(x,i).((x * 2) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A136126: 1 1 1 1 3 1 1 7 7 1 1 15 31 15 1 1
loop(\(x,i).((i + x) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A299146: 1 1 1 1 3 1 1 6 6 1 1 10 15 10 1 1
loop(\(x,i).((x + 2) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A152602: 1 1 1 1 6 1 1 16 16 1 1 36 76 36 1 1
loop(\(x,i).((x * 2) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A118185: 1 1 1 1 4 1 1 16 16 1 1 64 256 64 1 1
loop(\(x,i).(x * x),1,((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A082043: 1 1 1 1 4 1 1 9 9 1 1 16 25 16 1 1
loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A118180: 1 1 1 1 3 1 1 9 9 1 1 27 81 27 1 1
loop(\(x,i).((i * 2) + x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A082039: 1 1 1 1 3 1 1 7 7 1 1 13 21 13 1 1
loop(\(x,i).((i + x) + x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A157210: 1 1 1 1 3 1 1 8 8 1 1 19 42 19 1 1
(((loop(\(x,i).(((((x div 2) div (2 + 1)) + x) + (x div ((2 + 2) + 1))) + 2),x,0) div 2) div (2 + 1)) + 1)
A173508: 1 1 1 2 2 3 4 6 8 11 15 20 28 38 52 71
(if x <= 0 then 0 else ((((((x div (2 + 2)) div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1) * 2) div (2 + 1)) + 1))
A238845: 0 1 1 1 2 1 2 1 3 2 3 1 3 2 3 1
(((((((if (((x + 1) div ((x mod 2) + 2)) mod 2) <= 0 then x else 1) + 1) div (2 + 1)) + 1) * 2) mod (2 + 1)) - 1)
A323378: 1 1 1 1 0 ~1 1 ~1 1 1 1 0 0 0 1 1
(if x <= 0 then 0 else ((((((((x + 1) mod ((2 + 1) * 2)) + (x div 2)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1))
A200747: 0 1 2 2 3 1 2 2 3 3 3 2 3 3 3 3
((loop(\(x,i).((((2 + 2) + 1) * x) + 1),(x + 1),((((2 + 2) * (x + 1)) - 1) * 2)) div (2 + 1)) - 1)
A022607: 9 117 926
((((loop(\(x,i).(x - (x div (((0 - 2) - 2) - 1))),x,(((2 + 2) + 1) * 2)) + 1) * 2) div (2 + 1)) + 1)
A120176: 8 9 11 13 16 19 23 28 33 40 48 57 69 83 99 119
(((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * 2) + 1) * 2) * (2 + 1)) + 1)
A135984: 55 79 127 175 271 319 415 463 559 703 751 895 991 1039 1135 1279
(((loop(\(x,i).(x - (((x div 2) - 2) div (2 + 1))),2,x) + (x - 1)) * (((2 + 1) * 2) * (2 + 1))) - 1)
A044500: 17 53 89 107 125 161 197 233 269 305 323 341 377 413 449 485
((((((1 - (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div (2 + 1))) mod (x + 1)) + 2) * 2) mod (2 + 1)) + 1)
A064693: 2 1 1 1 2 1 2 1 3 2 2 1 1 1 2 1
((((((x - ((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x - 2)) * 2)) mod (x + 1)) + 2) * 2) div (2 + 1)) - 1)
A316827: 0 1 1 2 0 1 1 2 3 3 3 3 3 3 3 3
(((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1)) + 1)
A114148: 2 3 5 6 7 9 11 12 13 15 17 19 21 22 23 25
((((((if x <= 0 then 1 else (x - (((x div ((2 + 2) + 1)) div (0 - 2)) * 2))) + 2) + 2) * 2) div (2 + 1)) + 1)
A257291: 4 4 5 5 6 8 9 9 10 11 11 12 13 13 14 16
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),((((2 + 1) * 2) + 1) * x),1) * (((2 + 2) * (2 + 1)) + 1))
A324270: 13 10706059 8816899947037 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),x,x) div 2) + 2) mod (((2 + 2) * (2 + 1)) + 1))
A113491: 2 12 1 9 4
((compr(\x.(loop(\(x,i).(((x * x) * 2) * (x + 1)),2,2) mod (x + 1)),x) + 1) * (((2 + 2) * (2 + 1)) - 1))
A070022: 11 22 33 44 55 66 88 99 110 132 165 176 198 220 264 275
((((((if x <= 0 then 1 else (((x * 2) * 2) - ((((x div 2) + 1) div 2) div 2))) + x) + 2) * 2) div (2 + 1)) + 1)
A191403: 3 5 9 12 15 19 21 25 28 31 35 38 41 45 47 51
(((((((loop(\(x,i).(x * 2),((x - 2) div (2 + 1)),1) + x) * 2) div (2 + 1)) + x) * 2) div (2 + 1)) + 1)
A133813: 1 2 3 4 5 7 8 9 11 12 13 16 17 19 23 24
(x - (((x div (2 + 1)) + 1) div (((((if (x - (2 + 2)) <= 0 then 0 else 2) + 1) * 2) - (x div (2 + 1))) + 1)))
A227191: 0 1 2 2 3 5 6 7 8 8 9 10 11 12 13 12
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) + ((((x + 2) * x) * ((x * 2) + 1)) + 1))
A143059: 1 11 46 121 252 456 751 1156 1691 2377 3236 4291 5566 7086 8877 10966
(if x <= 0 then 0 else ((x div ((((((((x + 1) div 2) div (2 + 1)) * (2 + 1)) div 2) + 1) + (x mod 2)) + 1)) + 1))
A185816: 0 1 2 2 3 2 3 2 3 3 4 2 3 3 3 3
(((((2 + 2) * 2) + 1) mod (compr(\x.(loop(\(x,i).(x * x),2,(((2 + 2) + 1) * 2)) mod (x + 1)),x) + 1)) + 1)
A083456: 1 2 2 5 2 10 10 10 10 10 10 10 10 10 10 10
(compr(\x.((x mod (((loop(\(x,i).(x * 2),x,((x mod (2 + 2)) - 1)) - 1) mod (x + 1)) + 1)) - 1),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A079603: 2 3 5 7 11 13 17 19 23 27 29 31 37 41 43 47
((((x mod ((((if (x mod ((2 + 1) * 2)) <= 0 then (x * 2) else 1) + 1) mod (x + 1)) + 1)) + 1) mod (x + 1)) + 1)
A308897: 1 2 1 2 3 4 1 3 4 2 3 4 1 3 4 2
(x div (((((x mod (((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) * 2)) mod (2 + 1)) - 1) mod (x + 1)) + 1))
A143574: 0 1 1 0 4 5 0 0 4 9 10 0 0 13 0 0
((((((((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) * (x + 1)) div (2 + 1)) + 1) * 2) - 1) mod (x + 1)) + 1)
A076435: 1 2 2 4 3 6 2 6 5 8
(((((x mod ((((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 2) + 2) * 2) + 1)) * 2) + 1) mod (x + 1)) + 1)
A276716: 1 2 3 4 5 6 7 8 9 2 2 6 8 10 12 14
(loop(\(x,i).((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2),1,(x + 1)) + 1)
A303386-A295636: 1 1 1 1 2 1 2 1 2 1 4 1 2 2 3 1
((((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 1) * (x + 1)) + 1)
A078310: 2 5 10 9 26 37 50 17 28 101 122 73 170 197 226 33
(x - (((((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) * 2) * (2 + 1)) mod (x + 1)) - 1))
A336965: 1 2 3 2 5 6 7 6 6 10 11 6 13 14 15 2
(compr(\x.(loop(\(x,i).(((x * x) * (2 + 2)) * (((x + 1) * 2) + 1)),2,(2 + 1)) mod (x + 1)),(x + 1)) + 1)
A219174: 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - (x * 2)) * (2 + 1)) + x) div (x + 1)) + 1)
A163127: 1 0 0 1 2 2 3 3 3 4 4 5 5 5 5 5
loop(\(x,i).(((((((i * 2) + 1) * x) * 2) div (i + 2)) div (i + 1)) * (((i * 2) + 1) * 2)),(x - 1),1)
A125558: 1 1 6 50 490 5292 60984 736164 9202050 118195220 1551580888 20734762776 281248448936 3863302870000 53644719852000 751920156592200
((loop(\(x,i).((((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + 1) + (x div (2 + 1))) + x),x,0) div 2) + 1)
A173495: 1 1 2 2 4 6 9 15 24 38 62 100 161 261 422 682
(((x div (2 - ((1 - x) div ((if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 2 else 0) + 1)))) * 2) + 1)
A336839: 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 5
((((x mod ((x mod ((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + (x div (2 + 1)))) + 1)) + 1) div 2) + 1)
A257695-A257694: 1 1 1 2 1 2 1 2 2 3 2 3 1 2 2 3
(if (x mod (2 + 1)) <= 0 then 0 else (((((x div (2 + 2)) mod ((x mod (((2 + 2) + 1) * 2)) + 1)) + 1) div 2) + 1))
A215879: 0 1 1 0 2 2 0 2 2 0 1 1 0 3 3 0
((loop(\(x,i).(1 - x),x,((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)) div 2) + 1)
A344299: 1 1 1 0 1 1 1 0 2 1 1 0 1 1 1 ~1
loop(\(x,i).((i + 1) * x),(x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)),1)
A130675: 1 1 1 2 1 2 1 6 2 2 1 6 1 2 2 24
((x div ((x div (((x - (((if (x mod (2 + 2)) <= 0 then x else 0) - 1) div (2 + 1))) mod (2 + 1)) + 1)) + 2)) + 1)
A305875: 1 1 1 2 1 1 2 2 1 2 3 1 1 3 1 2
((((x div ((if ((x + 1) mod ((x div (((x div 2) mod 2) + 2)) + 1)) <= 0 then 1 else 2) * (2 + 1))) + 1) div 2) + 1)
A306468: 1 1 1 2 1 2 2 2 2 3 2 3 2 3 3 2
((((x + 1) * 2) - (if x <= 0 then 1 else ((x mod 2) - (((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2)))) + 1)
A233273: 2 4 7 8 12 13 15 16 21 22 24 25 28 29 31 32
(((x + 1) div (((x div 2) div ((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1)) + 2)) + 1)
A316398-A304817-A183095-A073180: 1 2 2 2 2 4 2 2 2 4 2 5 2 4 4 2
((((loop(\(x,i).((((((x div ((2 + 2) + 1)) * 2) * 2) div (2 + 1)) + x) + 2),x,1) div 2) + 1) div 2) + 1)
A063827: 1 2 2 3 4 5 6 8 10 13 16 21 26 33 42 53
((((((loop(\(x,i).(x * 2),x,(((((x div 2) + 1) div 2) div 2) + 1)) + 1) mod (x + 1)) div 2) + 1) div 2) + 1)
A123926-A082902: 1 1 2 1 2 2 2 1 1 2 2 2 2 2 4 1
(((((loop(\(x,i).((x - (((x mod (2 + 2)) - 2) * 2)) * 2),(x - 1),1) mod (x + 1)) div 2) + 1) div 2) + 1)
A023582: 1 1 1 1 2 1 2 1 2 2 1 1 1 2 2 3
(((((x + 1) div ((((if ((x - 2) mod ((2 + 1) * 2)) <= 0 then x else 2) + 1) mod (x + 1)) + 2)) + 1) div 2) + 1)
A176835: 1 1 2 1 2 2 2 2 3 2 2 2 2 2 5 3
((((x div (((((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) - 1) - (x mod 2)) mod (x + 1)) + 2)) + 1) div 2) + 1)
A115751: 1 1 1 2 1 2 1 2 2 2 1 4 1 2 3 2
((((x div ((((x mod 2) - (if ((x - 1) mod ((2 + 2) + 1)) <= 0 then 1 else x)) mod (x + 1)) + 2)) + 1) div 2) + 1)
A289494: 1 1 1 1 2 2 1 2 2 2 3 4 3 3 3 3
((((((loop(\(x,i).((((x * 2) div (((2 + 1) * 2) + 1)) + x) + 2),x,2) + 1) div 2) div 2) + 1) div 2) + 1)
A064650: 1 2 2 3 3 4 5 6 8 10 13 16 21 26 34 43
(((((x mod (((((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2) + 2) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1)
A115621: 1 1 2 1 1 1 3 1 1 1 2 1 2 4 1 1
(((((if (x mod 2) <= 0 then x else 0) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) + 1)
A046221-A046218: 1 1 1 1 1 1 1 3 3 1 1 5 3 5 1 1
((2 + 1) - (((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) mod (((2 + 2) + 1) * 2)) - 1))
A277097: 3 2 0 ~2 4 2 ~2 ~4 2 ~4 4 ~2 4 2 ~2 2
(((((((if (((x + 1) * x) mod ((2 + 2) * 2)) <= 0 then x else 0) + 2) div (2 + 1)) + 1) * (2 + 1)) div 2) - 1)
A144776: 0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 8
(((((((loop(\(x,i).((x * x) div (2 + 1)),2,x) div (x + 1)) mod (2 + 1)) * 2) + 1) mod (2 + 1)) * 2) - 1)
A177693: 1 1 1 1 ~1 1 1 ~1 ~1 1 1 3 3 3 1 1
((loop(\(x,i).(x * x),1,(x - (((((((2 + 2) * 2) + x) + 1) * (2 + 1)) + 2) * (2 + 1)))) * 2) - 1)
A157436: 15137 18049 21217 24641 28321 32257 36449 40897 45601 50561 55777 61249 66977 72961 79201 85697
((if ((x + 2) mod ((2 + 1) * 2)) <= 0 then 1 else (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))) + 1)
A329326: 1 2 2 3 2 3 3 4 2 3 2 4 3 4 4 5
loop(\(x,i).(((x * 2) - (x div (0 - 2))) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A151779: 1 6 6 30 6 30 30 150 6 30 30 150 30 150 150 750
loop(\(x,i).((x * 2) * 2),((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)),1)
A151783: 1 1 4 1 4 4 16 1 4 4 16 4 16 16 64 1
loop(\(x,i).((2 + 1) * x),((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)),1)
A147610: 1 1 3 1 3 3 9 1 3 3 9 3 9 9 27 1
(loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),(x + 1),(((2 + 1) * 2) + 1)) * (((2 + 1) * 2) + 1))
A203880: 637 8281 107653 1399489 18193357 236513641 3074677333 39970805329 519620469277 6755066100601 87815859307813 1141606171001569 14840880223020397 192931442899265161 2508108757690447093
(((((loop(\(x,i).((i + x) * x),2,(2 + 2)) * (x + 1)) + x) * 2) * (2 + 1)) * (((2 + 1) * 2) + 1))
A157738: 18480 37002 55524 74046 92568 111090 129612 148134 166656 185178 203700 222222 240744 259266 277788 296310
((compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1) * (((2 + 1) * 2) + 1))
A178335: 7 14 28 35 56 70 112 140 175 224 280 350 448 560 700 875
(((((loop(\(x,i).(x * 2),x,(2 + 2)) + 1) * (((2 + 2) * 2) + 1)) + 1) * 2) * (((2 + 1) * 2) + 1))
A304607: 644 1148 2156 4172 8204 16268 32396 64652 129164 258188 516236 1032332 2064524 4128908 8257676 16515212
(((compr(\x.(loop(\(x,i).((i + x) * (x + 1)),(2 + 2),2) mod (x + 1)),x) + 1) * 2) * (((2 + 1) * 2) + 1))
A033847: 14 28 56 98 112 196 224 392 448 686 784 896 1372 1568 1792 2744
((2 + 1) - (loop(\(x,i).(((2 + 1) * x) + 1),(x - 1),(((2 + 2) * 2) * 2)) mod (((2 + 1) * 2) + 1)))
A138034: 1 1 3 2 ~1 ~3 ~2 1 3 2 ~1 ~3 ~2 1 3 2
(((((if x <= 0 then 2 else (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x)) div 2) + 1) div 2) + 1)
A155798: 2 1 1 1 2 1 1 3 3 1 1 4 7 4 1 1
((if x <= 0 then 1 else ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2)) + 1)
A055652: 2 1 1 1 2 1 1 3 3 1 1 4 8 4 1 1
(((if x <= 0 then 1 else (compr(\x.(1 - (x mod ((((x * 2) + 1) mod (((2 + 1) * 2) + 1)) + 2))),x) + 1)) * 2) + 1)
A235387: 3 7 9 13 15 17 19 21 25 29 31 35 37 39 41 43
((loop(\(x,i).(((((((x * 2) div (((x div (2 + 2)) + 2) + 2)) mod 2) * 2) * 2) + x) + 2),x,1) div 2) + 1)
A288730: 1 2 5 8 9 10 11 12 15 18 21 24 25 26 27 28
((loop(\(x,i).(((((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2) div 2) mod 2) + (x * 2)),x,1) div 2) + 1)
A293323: 1 2 3 5 10 20 40 80 159 317 633 1266 2532 5063 10126 20252
((((((if (x - 1) <= 0 then 1 else ((((x * 2) + 1) * x) * (2 + 1))) * (2 + 1)) + 1) * (x + 1)) div 2) + 1)
A225672: 3 5 137 381
(2 div ((x + 1) div (((((loop(\(x,i).((x + 1) * 2),x,0) mod ((x * 2) + 1)) - 1) mod (x + 1)) div 2) + 1)))
A257265: 2 1 0 1 1 0 0 1 2 0 1 1 0 0 0 1
((x div ((((loop(\(x,i).((x - (((x div (2 + 2)) + 2) + 2)) * 2),x,1) * 2) + 1) mod (x + 1)) + 2)) + 1)
A067995: 1 1 1 2 1 2 2 2 3 1 2 2 2 3 2 3
((x + 2) - (((((x mod ((loop(\(x,i).((i + x) * 2),x,1) mod (x + 1)) + 2)) + 1) mod (x + 1)) * 2) + 1))
A091564: 1 2 1 4 5 2 3 8 7 10 9 4 7 6 5 16
(if (x div (((2 + 2) * 2) + 1)) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * (x + 1)) else (((x + 1) * 2) + 1))
A060314: 11 22 33 44 55 66 77 88 99 21 23 25 27 29 31 33
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 1 else 2)) + 1)
A177876: 2 3 3 4
A305716: 2 3 3 4 3 4 3 5 4 4 3 5 3 4 4 6
(((((x div ((x mod (((loop(\(x,i).(x * 2),(x div 2),2) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) * 2) + 1)
A163381: 1 1 3 1 3 3 7 1 3 5 7 3 7 7 15 1
((((((loop(\(x,i).(((((x * x) div (2 + 1)) + x) div 2) + (x * 2)),x,2) - 2) * 2) + 1) * 2) * 2) - 1)
A261716: 3 27 115 643
((((((x div (if (x mod (2 + 2)) <= 0 then (((x mod (2 + 1)) div 2) + 2) else 1)) + 1) * (2 + 1)) div 2) div 2) + 1)
A324533: 1 2 3 4 3 5 6 7 3 8 9 10 6 11 12 13
(((((((if ((x div (2 + 2)) mod 2) <= 0 then x else (0 - x)) mod ((2 + 2) * 2)) + 1) * (2 + 1)) div 2) div 2) + 1)
A030241: 1 2 3 4 4 4 3 2 1 2 3 4 4 4 3 2
(((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) * (2 + 1)) div 2) div 2) + 1)
A083716: 1 1 1 1 1 1 1 3 2 1 1 3 1 1 2 6
((x + 2) div (((x + 2) div (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 1))
A319149: 1 1 1 2 1 3 1 3 2 3 1 6 1 3 3 5
((((if x <= 0 then 1 else (((((((2 + 2) + 1) * x) * 2) * ((x * x) + 1)) * (2 + 1)) + 2)) + 2) * 2) - 1)
A157438: 5 127 607
((x + 1) div ((((((1 - (loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1))) mod (x + 1)) + 2) div 2) div 2) + 1))
A062789: 1 2 3 2 5 6 7 4 3 10 11 4 13 14 3 8
(((((x mod (((((loop(\(x,i).(x * 2),(x div 2),2) * 2) * 2) + 1) mod (x + 1)) + 2)) + 2) div 2) div 2) + 1)
A275344: 1 1 2 1 2 1 2 1 2 3 2 2 2 2 1 1
((((loop(\(x,i).((x - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) * 2),(x + 1),2) div 2) + 2) + 2) + 1)
A048588: 7 8 10 13 17 23 32 45 64 92 133 193 281 410 599 876
((((((loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x) * (2 + 2)) * 2) * 2) * 2) - 1)
A044599: 31 95 159 223 255 287 351 415 479 543 607 671 735 767 799 863
((loop(\(x,i).(((x * 2) * 2) * 2),x,((((2 + 1) * 2) * (2 + 1)) + 1)) + (((2 + 2) * 2) * 2)) + 1)
A330770: 36 169 1233 9745 77841 622609 4980753 39845905 318767121 2550136849 20401094673 163208757265 1305670058001 10445360463889 83562883710993 668503069687825
((compr(\x.(loop(\(x,i).((i + x) * x),2,((2 + 2) + 1)) mod (x + 1)),x) + 1) * ((((2 + 2) * 2) * 2) + 1))
A070814: 17 34 51 68 85 102 136 170 204 255 272 340 408 510 544 680
((((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x) div 2) div (2 + 1)) div ((((2 + 2) * 2) * 2) - 1))
A011843: 0 0 0 0 0 0 1 3 9 21 42 77 132 214 333 500
loop(\(x,i).((((x * x) div 2) + 1) mod (x + 2)),1,((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A292835: 1 0 1 0 0 1 0 3 0 1 0 0 6 0 1 0
(((((((((loop(\(x,i).i,(x - ((2 + 2) * 2)),1) + x) + 2) * (x + 2)) div 2) + x) div 2) div 2) div 2) + 1)
A266480: 1 1 2 3 4 5 6 7 8 10 12 15 18 21 24 28
(2 div (((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod (((2 + 2) * (2 + 1)) + 1)) mod (2 + 2)) + 1))
A053694: 1 1 0 1 1 0 0 1 1 1 0 0 2 0 0 1
(((((((if ((x div (2 + 1)) - 2) <= 0 then 1 else 2) + x) * ((x + 1) div 2)) + 1) div 2) + 1) div ((2 + 2) + 1))
A229950: 0 0 0 1 1 2 2 3 3 5 6 8 8 10 11 13
(2 - (loop(\(x,i).(x div (0 - 2)),(((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2),1) mod ((2 + 2) + 1)))
A156593: 1 1 1 1 ~2 1 1 2 2 1 1 2 ~2 2 1 1
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x) div ((((2 + 2) * 2) * 2) - 1)) div ((2 + 2) + 1))
A011851: 0 0 0 0 0 0 1 4 11 25 50 92 158 257 400 600
((((loop(\(x,i).(((x * x) - 1) * x),1,((x + 2) * (x + 2))) div 2) div 2) div (2 + 1)) div ((2 + 2) + 1))
A213547: 1 12 68 260 777 1960 4368 8856 16665 29524 49764 80444 125489 189840 279616 402288
(((compr(\x.(loop(\(x,i).((x * x) * (2 + 2)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1) * 2) * ((2 + 2) + 1))
A033846: 10 20 40 50 80 100 160 200 250 320 400 500 640 800 1000 1250
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1)))))
A017503: 4782969 1280000000 27512614111 230539333248 1174711139837 4398046511104 13348388671875 34792782221696 80798284478113 171382426877952 337931541778439 627485170000000 1107984764452581 1874584905187328 3057125241215467 4828861374436224
((((loop(\(x,i).((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x),x,2) - 2) * 2) * 2) * ((2 + 2) + 1))
A257319: 0 1840 88320 4152880 195187200 9173800240 431168613120 20264924818480 952451466470400 44765218924110640 2103965289433201920 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.(2 - ((x + 1) mod (((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1) * 2) + 1))),x) * 2) * 2) - 1)
A080065: 3 15 27 39 51 63 75 87 91 99 111 123 135 147 159 171
(if x <= 0 then 1 else (x - (((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1)) - (((x * 2) * 2) - 1))))
A311429: 1 4 8 12 17 21 25 29 33 38 42 46 51 56 60 64
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),(((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) div 2),1)
A074800: 1 32 32768 1048576 34359738368 1099511627776 1125899906842624 36028797018963968 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 0 else (((x + 1) mod (((((x mod ((x mod 2) + 2)) * 2) * 2) + 1) * 2)) + 1)) + 1) div (2 + 1))
A160550: 0 1 1 0 1 2 1 3 1 0 1 4 1 2 1 0
(((x mod (((if x <= 0 then 1 else (x - ((x * x) mod ((((2 + 2) + 1) * 2) * 2)))) * 2) - 1)) + 1) mod (2 + 1))
A104607: 1 1 1 0 1 1 1 1 2 1 2 0 1 1 0 1
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod (((((2 + 2) * 2) * 2) * 2) - 1)) - 1) div (2 + 1))
A021035: 0 3 2 2 5 8 0 6 4 5 1 6 1 2 9 0
(((loop(\(x,i).(((x div 2) + 1) * 2),x,(((2 + 1) * 2) + 1)) * (((2 + 2) * 2) + 1)) + 1) * (2 + 1))
A039667: 192 219 273 327
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)) div (2 + 1))
A021033: 0 3 4 4 8 2 7 5 8 6 2 0 6 8 9 6
(((((loop(\(x,i).(((x * x) * x) div 2),1,(((x + 2) * x) + 1)) div 2) div 2) div (2 + 1)) + 1) div (2 + 1))
A061005: 0 1 10 57 217 648 1634 3641 7381 13889 24605 41472 67039 104577 158203 233017
(1 - (((((((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1) div 2) div 2) + 1) div 2) + 1) mod (2 + 1)))
A079872: 0 0 0 0 0 ~1 0 0 0 ~1 0 ~1 0 1 1 0
((((if x <= 0 then 1 else ((((x * x) * x) mod (((2 - (x mod 2)) * (2 + 1)) + 1)) * 2)) * 2) + 1) mod (2 + 1))
A285110: 0 2 2 1 2 2 1 1 2 2 1 1 1 2 1 1
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((x - (((x div 2) mod 2) - 1)) div 2) * 2) + 1) div (2 + 1)))
A314240: 1 5 11 17 23 28 34 40 45 51 57 63 68 73 79 85
((((((2 - (if (x mod ((2 + 2) + 1)) <= 0 then 1 else (x div (2 + 1)))) mod (x + 1)) div 2) * 2) + 1) mod (2 + 1))
A267632: 1 1 0 1 1 1 1 1 1 0 1 2 2 1 1 1
((((((((loop(\(x,i).(x - (((i mod 2) - x) * 2)),x,1) div 2) div 2) + 1) + x) div 2) * 2) - 1) mod (2 + 1))
A004610: 2 1 1 0 0 1 0 2 0 0 0 2 2 0 2 1
((if x <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) mod (2 + 1))
A196078: 1 0 0 0 1 0 0 2 2 0 0 0 1 0 0 0
(if x <= 0 then 1 else ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod ((x div 2) + 1)) mod (2 + 1)))
A264394-A263234: 1 0 1 1 0 1 0 2 0 1 2 0 2 0 1 1
((((2 + 1) * 2) + 1) mod (((if (x mod 2) <= 0 then (((x div 2) + 1) mod ((2 + 1) * 2)) else x) + 1) * (2 + 1)))
A031182: 1 1 7 7 7 7 7 7 7 7 1 7 1 7 7 7
(loop(\(x,i).(((((((i * 2) - 1) * x) * 2) * (((i + 1) * 2) + 1)) div (i + 1)) * 2),x,1) * (2 + 1))
A113677: 3 30 840 37800 2328480 181621440 17124307200 1892235945600 239683219776000 34226763784012800 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((((((x div 2) mod 2) + x) div 2) * 2) + x) + 1) div (2 + 1)))
A315476: 1 6 11 16 21 27 32 37 43 48 53 58 64 70 75 80
((((loop(\(x,i).(((x div ((((x mod 2) + 2) + 2) + 2)) + x) + 2),x,0) * 2) + 1) * (x + 1)) mod (2 + 1))
A119395: 1 1 0 1 2 0 0 1 0 1 0 0 2 1 0 0
(((if (x mod (2 + 1)) <= 0 then (1 - (x div (((2 - x) div (2 + 2)) - 2))) else 1) + 1) + ((x + 1) div (2 + 1)))
A205153: 2 2 3 4 3 4 6 4 5 8 5 6 9 6 7 10
((((x * 2) * 2) - (((1 - x) * (x - 1)) div loop(\(x,i).(x * x),2,(2 + 1)))) + ((x + 1) div (2 + 1)))
A310373: 1 4 10 14 18 23 27 31 36 40 44 50 54 58 64 68
(((((((x div 2) div (2 + 1)) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2))) + ((x + 1) div (2 + 1)))
A310400: 1 4 10 14 19 24 29 34 39 44 48 54 58 62 68 72
((((x * 2) * 2) - (((((x div 2) div (2 + 1)) mod 2) - (if x <= 0 then 1 else x)) div 2)) + ((x + 1) div (2 + 1)))
A313702: 1 5 10 15 19 25 29 33 39 43 48 53 58 63 68 73
(loop(\(x,i).(x div (2 - (((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1) mod 2))),x,(x + 1)) mod (2 + 1))
A035208: 1 1 0 1 2 0 0 1 1 2 2 0 1 0 0 1
(1 - (((if x <= 0 then 2 else ((((x * x) * x) * (x * x)) mod (((2 + 2) * (2 + 1)) - 1))) div 2) mod (2 + 1)))
A165591-A011627: 0 1 ~1 1 1 1 ~1 ~1 ~1 1 ~1 1 1 ~1 1 1
((((((x div ((loop(\(x,i).((x + 1) * i),(x div 2),2) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A232353: 0 1 1 0 1 1 0 1 1 2 1 2 2 1 1 2
(((((((x * x) div ((loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2) + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))
A344858: 2 1 0 0 0 1 2 2 0 0 0 1 2 2 1 0
(if x <= 0 then 1 else (((((((((x mod ((2 + 2) + 1)) * 2) - 1) mod (x + 1)) div 2) div 2) + 1) * 2) div (2 + 1)))
A029403: 1 0 0 0 0 1 0 0 1 1 2 0 0 1 1 2
(((((if x <= 0 then 1 else ((x * 2) * 2)) * 2) - (((x * 2) + 1) div (((2 + 2) * 2) + 1))) * 2) div (2 + 1))
A313837: 1 5 10 16 20 26 31 36 42 46 52 57 62 67 72 78
(((((loop(\(x,i).((((x div 2) div (2 + 1)) + x) + 2),(x - 1),1) * 2) + 1) div (2 + 1)) + 2) div (2 + 1))
A281744: 1 1 1 1 2 3 3 4 5 6 7 9 11 13 15 18
(((((if (x mod (2 + 1)) <= 0 then ((((x div 2) * (x + 1)) mod 2) + 2) else 1) + x) div (2 + 1)) * 2) + (2 + 1))
A075260: 3 3 5 5 5 7 9 7 9 9 9 11 11 11 13 13
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - ((x mod ((x div (2 + 1)) + 2)) div (2 + 1)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A171057: 2 3 5 7 11 13 17 18 23 28 31 37 41 43 47 53
((((if x <= 0 then 1 else ((((((((x + 1) div 2) div 2) div 2) * (2 + 1)) div 2) + x) * 2)) + 1) * 2) div (2 + 1))
A242925: 1 2 3 4 6 7 8 11 12 14 15 16 18 19 20 24
((((loop(\(x,i).((((i + 2) * 2) + 1) * x),x,(x + 2)) * (x + 1)) * ((x + 2) + 1)) div 2) div (2 + 1))
A038121: 1 28 630 13860 315315 7567560 192972780 5237832600 151242416325 4638100767300 150738274937250 5179915266025500 187771928393424375 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(x * x),1,(((x + 2) * (x + 1)) div 2)) * (x + 2)) * ((x + 2) + 1)) div 2) div (2 + 1))
A108648: 1 18 120 500 1575 4116 9408 19440 37125 66550 113256 184548 289835 441000 652800 943296
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))))
A017479: 823543 612220032 17249876309 163840000000 897410677851 3521614606208 11047398519097 29509034655744 69833729609375 150363025899136 300124211606973 562949953421312 1002544368429379 1708593750000000 2804020163098721 4453476124377088
((((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) * ((x + 2) + 2)) * (x + 1)) div 2) div (2 + 1))
A027778: 10 75 315 980 2520 5670 11550 21780 38610 65065 105105 163800 247520 364140 523260 736440
(1 - (((((((1 - (x div (2 + 1))) mod (2 + 1)) + x) div (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) mod (2 + 1)))
A342563: 0 ~1 0 0 0 0 1 ~1 ~1 ~1 ~1 0 0 0 0 1
(((((((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else 1) + x) + x) * ((2 + 2) + 1)) div 2) * 2) * (2 + 1))
A226944: 30 60 90 120 150 180 210 240 270 300 330 360 390 420 450 462
((((((loop(\(x,i).((((i + 2) + 1) * i) + x),x,0) * (x + 1)) div 2) div (2 + 1)) + 2) * 2) mod (2 + 1))
A035193: 1 0 0 1 2 0 2 0 1 0 1 0 0 0 0 1
((loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + ((x + 1) mod (2 + 1))) + 1),(x + 1),2) div 2) div (2 + 1))
A037672: 3 29 261 2352 21170 190530 1714773 15432959 138896631 1250069682 11250627140 101255644260 911300798343 8201707185089 73815364665801 664338281992212
((((((loop(\(x,i).((x * x) * x),1,((x + 2) + 1)) * (x + 2)) div 2) * (x + 1)) div 2) div 2) div (2 + 1))
A061608: 2 16 62 180 428 896
((((loop(\(x,i).(((((x + 1) * x) div 2) * (2 + 1)) div 2),(2 + 1),x) mod (x + 1)) + 2) * 2) mod (2 + 1))
A117479: 1 0 1 0 1 1 0 2 1 1 1 0 2 2 1 2
((2 - ((x + 1) mod ((((if (x mod 2) <= 0 then (x div 2) else (x * 2)) mod ((x + 2) + 2)) + 2) + 2))) + (2 + 1))
A030586: 4 3 2 1 0 4 5 4 4 4 3 4 2 4 1 4
(((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * ((2 + 2) + 1)) div 2) div 2) + x) + 2) * 2) div (2 + 1))
A285302: 2 3 4 6 8 10 12 13 14 16 18 19 20 22 24 25
(((((loop(\(x,i).(x - ((((x * x) * (2 + 1)) - x) * 2)),2,x) div (x + 1)) + 1) * x) div 2) mod (2 + 1))
A166712: 0 2 1 1 0 2 0 2 1 0 1 1 0 1 2 1
(((((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),x) + x) - 1) * x) div 2) mod (2 + 1))
A338203: 0 0 0 0 1 2 0 0 1 0 1 2 0 2 0 0
((((((if x <= 0 then 1 else ((((2 + 1) * x) - ((x div 2) div (2 + 1))) * 2)) + 2) + 2) + x) * 2) div (2 + 1))
A184917: 3 7 12 16 21 26 29 34 38 43 48 52 56 60 65 70
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((((x div 2) mod (2 + 2)) + x) div 2) + x) * 2) div (2 + 1)))
A315259: 1 6 10 15 20 25 30 34 40 46 50 55 60 65 70 74
((((((x * x) + 1) * x) div 2) * (x + 1)) - (loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)))
A179095: 0 1 10 45 135 320 651 1190 2010 3195 4840 7051 9945 13650 18305 24060
(if x <= 0 then 1 else (((x div (1 - ((2 + 2) * 2))) - (x div (((2 + 1) * 2) + 1))) + ((x * 2) * (2 + 1))))
A314249: 1 5 11 17 23 29 35 40 45 51 57 63 69 75 80 85
((if x <= 0 then 1 else ((1 - x) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1))) + ((x * 2) * (2 + 1)))
A315547: 1 6 11 17 23 29 35 41 47 52 58 64 69 75 81 87
((((((x div (2 + 1)) + x) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2))) - ((x div 2) div (2 + 1)))
A313887: 1 5 10 16 21 27 31 37 42 48 53 58 63 68 74 79
(x - (((x - 1) * x) div (((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) div (2 + 1)) + x) + (2 + 1))))
A319856-A161511: 0 1 2 2 3 3 4 3 4 4 5 4 6 5 6 4
(loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) * 2) * 2),(2 + 1),x) mod (2 + 1))
A049115: 0 0 1 0 1 1 2 0 2 1 2 1 2 2 1 0
(((2 - loop(\(x,i).(1 - (((x + 1) * 2) - (((x + 1) div 2) div (2 + 1)))),(2 + 1),x)) + x) div (2 + 1))
A231407: 1 4 6
A189363: 1 4 6 9 11 13 16 18 21 23 25 27 30 33 35 38
((compr(\x.(2 - ((x + 1) mod (((if (((x + 1) div 2) mod ((2 + 1) * 2)) <= 0 then 2 else 0) * 2) + 1))),x) * 2) + 1)
A112073: 23 25 47 73 95 97 143 145 167 193 215 217 263 265 287 313
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + ((x * x) div (((x div 2) + (x * 2)) - 1)))
A338361: 2 4 6 8 12 15 19 22 26 32 35 41 45 48 52 59
(if ((x div ((2 + 2) + 1)) - 1) <= 0 then x else (((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * ((x * 2) + 1)))
A103303: 0 1 2 3 4 5 6 7 8 9
A145461: 0 1 2 3 4 5 6 7 8 9 777
(if (x - 1) <= 0 then x else (((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + (x mod 2)) + 1))
A157226: 0 1 1 2 1 3 1 2 1 3 1 4 1 3 2 2
(if x <= 0 then 0 else (((x div (((x div 2) div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)) + 2)) + (x mod 2)) + 1))
A079243: 0 2 2 3
A080256: 0 2 2 3 2 4 2 4 3 4 2 5 2 4 4 5
(((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) + (x mod 2)) - 1)
A248105: 3 12 15 20 27 36 43 48 51 60 63 68 75 80 83 92
(loop(\(x,i).((x * 2) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((x mod 2) + 1))
A213178: 1 8 4 32 4 32 16 128 4 32 16 128 16 128 64 512
(((((x mod ((if (((x + 2) * x) mod ((2 + 1) * 2)) <= 0 then x else 1) + 2)) div 2) * 2) + 1) + ((x mod 2) + 1))
A126801: 2 3 4 3 6 5 8 3 4 3 12 5 14 3 4 3
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),((x - 1) div 2),1) * (x + 1)) div ((x mod 2) + 1))
A047074: 1 1 3 2 5 6 14 20 45 70 154 252 546 924 1980 3432
(compr(\x.((x mod ((((1 - loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) mod (x + 1)) + 1)) - 1),x) + 1)
A029749: 1 2 4 5 7 8 10 14 16 20 28 32 40 56 64 80
(compr(\x.(((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) - 1) mod (2 + 1)) - 1),x) + 1)
A174896: 4 6 9 10 12 14 15 16 18 20 21 22 24 25 26 28
(((((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 1)) * (x + 1)) div (2 + 1)) div ((2 + 2) + 1)) + x) + 1)
A185092: 1 2 3 4 6 12
A161701: 1 2 3 4 6 12 28 64 135 262 473 804 1300 2016 3018 4384
(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + x) + 1)
A134871: 1 2 3 5 5 8 7 10 10 12 11 16 13 16 17 19
(compr(\x.(loop(\(x,i).((x * x) * x),2,(((((2 + 1) * 2) * (2 + 1)) * (2 + 1)) + 1)) mod (x + 1)),x) + 1)
A003598: 1 5 11 25 55 121 125 275 605 625 1331 1375 3025 3125 6655 6875
(compr(\x.(loop(\(x,i).((x + 2) * x),2,((x mod ((((2 + 2) * 2) + (x mod 2)) + 1)) - 1)) mod (x + 1)),x) + 1)
A276393: 1 2 3 4 5 6 7 8 9 10 11 12 16 20 22 26
(compr(\x.(loop(\(x,i).((x + 2) * x),(2 + 1),(((x div ((2 + 2) + 1)) * 2) * (2 + 1))) mod (x + 1)),x) + 1)
A067319: 1 2 3 4 5 6 8 10 12
A162002: 1 2 3 4 5 6 8 10 12 14 15 16 17 18 20 24
(compr(\x.(x - ((loop(\(x,i).(((x * x) * (x + 2)) * (x + 1)),1,((x * x) + 2)) + 1) mod (x + 1))),x) + 1)
A018322: 1 2 7 13 14 26 91 182
(compr(\x.((loop(\(x,i).((((2 + 2) + 1) * x) * 2),((((2 + 2) * 2) * 2) - 1),x) + 1) mod (x + 1)),x) + 1)
A111117: 1 3 9 27 31 37 41 93 111 123 271 279 333 369 813 837
(compr(\x.((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) * (((x + 1) * 2) + 1)),2,x) + 1) mod (x + 1)),x) + 1)
A133027: 1 3 7 9 21 27 63 81 189 243 567 1701
(compr(\x.((loop(\(x,i).(((((x * x) + 1) * x) div 2) + (((2 + 2) * 2) + 1)),2,x) + 1) mod (x + 1)),x) + 1)
A018298: 1 3 5 9 15 27 45 135
(compr(\x.((loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((x mod 2) + 1) * 2),x) + 1) mod (x + 1)),x) + 1)
A188591-A002183: 1 2 3 4 6 8 9 10 12 16 18 20 24 30 32 36
(compr(\x.(((loop(\(x,i).((((((x + 2) * x) - 1) * 2) * (2 + 1)) - 1),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018682: 1 2 5 10 17 25 34 50 85 170 425 850
(compr(\x.(((loop(\(x,i).(((((2 + 1) * x) + 2) * x) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018446: 1 2 4 8 53 106 212 424
(compr(\x.(((loop(\(x,i).(((((x * 2) * 2) * 2) + 1) * ((x * 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018684: 1 2 7 14 61 122 427 854
(compr(\x.(((loop(\(x,i).(((((((2 + 2) + 1) * x) + 1) * x) - 1) * 2),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018417: 1 3 9 41 123 369
(compr(\x.(((loop(\(x,i).((2 - (x - (((x * 2) * 2) * (2 + 1)))) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018715: 1 2 4 227 454 908
(compr(\x.(((loop(\(x,i).((1 - (((((2 + 2) + 1) * x) + 2) * 2)) * x),2,x) * x) + 1) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018472: 1 2 5 10 47 94 235 470
(compr(\x.(loop(\(x,i).((((x * 2) * (2 + 1)) + 2) * (x + 2)),2,(((x * 2) * 2) * 2)) mod (x + 1)),x) + 1)
A018517: 1 2 4 139 278 556
(compr(\x.(((((loop(\(x,i).((((x * x) * (2 + 1)) + 1) * 2),2,x) * x) + 1) * x) + 2) mod (x + 1)),x) + 1)
A018427: 1 3 9 43 129 387
(compr(\x.(loop(\(x,i).(((((x * x) * (x * x)) + 1) * x) * ((x * x) + 1)),1,(x * 2)) mod (x + 1)),x) + 1)
A172411: 1 2 5 10
A018315: 1 2 5 10 17 34 85 170
(compr(\x.(loop(\(x,i).(((((x * 2) * (2 + 1)) + 1) * 2) * ((x * 2) + 1)),2,(x * 2)) mod (x + 1)),x) + 1)
A018363: 1 2 7 14 19 38 133 266
((loop(\(x,i).((x + 1) * x),1,((((x * x) * x) * (x * x)) * (x * x))) + 1) div (((x + 1) * x) + 1))
A269483: 1 1 2359 368089 12783421 196890121 1822428931 11898664849 60247241209 251393376241 900900990991 2855262053161 8177824843189 21515718297529 52663539957211 121132473843361
(compr(\x.(loop(\(x,i).((x mod 2) - ((((x + 2) + 1) * ((x + 2) + 1)) div 2)),(2 + 1),x) mod (x + 1)),x) + 1)
A018381: 1 3 9 11 27 33 99 297
(compr(\x.(loop(\(x,i).(((((((2 + 2) + 1) * x) + 1) * (x + 2)) + 1) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018725: 1 3 9 103 309 927
(compr(\x.(loop(\(x,i).((((((x + 1) * x) * ((2 + 2) + 1)) - 1) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018707: 1 2 3 6 149 298 447 894
(compr(\x.(loop(\(x,i).((((((((x + 1) * 2) * (2 + 1)) - 1) * x) * 2) + 1) * 2),2,x) mod (x + 1)),x) + 1)
A018759: 1 2 17 29 34 58 493 986
(compr(\x.(loop(\(x,i).(((((((x + 2) * x) * (2 + 2)) * (2 + 1)) + 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018364: 1 2 4 67 134 268
(compr(\x.(loop(\(x,i).((((((((x * 2) * 2) * 2) * 2) * 2) * (2 + 1)) + 1) * x),2,x) mod (x + 1)),x) + 1)
A018581: 1 5 7 19 35 95 133 665
loop(\(x,i).(((2 - (((x + 1) * 2) mod ((2 + 2) + 1))) + (((x * 2) * 2) * 2)) + ((x + 1) * 2)),x,1)
A037680: 1 10 102 1023 10231 102310 1023102 10231023 102310231 1023102310 10231023102 102310231023 1023102310231 10231023102310 102310231023102 1023102310231023
loop(\(x,i).((((((((x * x) * (x + 1)) div 2) * (((x + 2) * x) + 1)) div (2 + 1)) + 1) div 2) * 2),x,1)
A067765: 1 2 18 370386 4611686018427387903
((((if x <= 0 then 1 else (((((x * x) div (2 + 2)) + ((x * 2) * (2 + 1))) div (x + 2)) + 2)) * 2) + x) - 1)
A265412: 1 8 11 14 15 18 19 22 23 24 27 28 29 32 33 34
((loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + ((x + 1) * 2)),(((2 + 1) * 2) + 1),(2 + 2)) + x) - 1)
A177949: 15684 15685 15686 15687 15688 15689 15690 15691 15692 15693 15694 15695 15696 15697 15698 15699
loop(\(x,i).((((x mod ((((x * x) * 2) mod (((2 + 1) * 2) * ((2 + 2) + 1))) + 2)) div 2) + x) * 2),x,1)
A181490: 1 2 6 18
A214799: 1 2 6 18 54 120 240 480 960 1920
(compr(\x.(1 - (loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) mod (((x mod 2) * x) + 2))),x) + 1)
A336488-A080389: 1 2 3 4 6 7 8 10 12 15 16 18 20 22 24 26
(((if x <= 0 then 2 else (x div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1))) - 1) * (x + 1))
A167339: 1 0 3 0 15 0 35 0 9 0 99 0 143 0 45 0
(((x mod (x - (((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) mod ((x div (2 + 1)) + 1)) - 1))) + 1) * (x + 1))
A210966: 1 4 9 4 25 6 49 8 18 10 121 12 26 14 225 16
(((x mod ((((x * 2) + 1) mod (x - ((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1))) + 1)) + 1) mod (x + 1))
A229878: 0 0 1 0 1 2
A176095: 0 0 1 0 1 2 1 0 3 2 1 4 1 2 7 0
compr(\x.(((loop(\(x,i).((x * x) * x),2,x) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1)) - 1),(x + 1))
A095037: 1 2 3 4 6 8 9 12 13 16 18
A035240: 1 2 3 4 6 8 9 12 13 16 18 23 24 25 26 27
compr(\x.((((x mod (((if (x mod ((2 + 2) * 2)) <= 0 then 1 else 2) * (2 + 1)) + 1)) + 1) mod (x + 1)) - 1),(x + 1))
A245802: 1 2 3 4 5 6 7 8 14 16 21 24 28 32 35 40
((((((((loop(\(x,i).(x * x),2,(x + 1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) * 2) - 1) div (x + 1))
A184633: 1 4 12 28 55 96 152 227 324 444 591 768 976 1219 1500 1820
((((((if ((x div 2) - 2) <= 0 then 0 else 2) * (2 + 1)) + 1) * (x + 1)) * (((2 + 1) * 2) + 1)) + (x + 1))
A020335: 8 16 24 32 40 48 350 400 450 500 550 600 650 700 750 800
(((((((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) + x) * 2) div (2 + 1)) + 1) + x) * 2) - 1) div (x + 1))
A275663: 1 1 3 2 3 3 3 2 4 3 3 3 3 3 3 3
(1 - ((((((loop(\(x,i).(x * 2),((x - 1) div 2),1) mod (x + 2)) + 1) mod 2) - (x mod 2)) + 1) mod (x + 1)))
A178948: 1 1 0 0 ~1 0 ~1 0 ~1 1 ~1 0 ~1 0 ~1 1
(loop(\(x,i).(x - ((1 - (((x + 1) * 2) - (x div (((2 + 1) * 2) + 1)))) div (2 + 1))),x,1) div (x + 1))
A078620: 1 1 1 1 2 3 4 6 9 14 21 31 46 70 106 161
(loop(\(x,i).(0 - (((((x * 2) * 2) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) - 1))),x,1) * (x + 1))
A295383: 1 ~4 72 ~2400 117600 ~7620480 614718720 ~59364264960 6678479808000 ~857813628672000 123868287980236800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + 1) + (x div (2 + 1))) + x),x,1) div (x + 1))
A172128: 1 1 1 1 2 2 4 5 8 12 18 26 40 60 90 137
compr(\x.((((x + 1) div (((x - (if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else 1)) mod 2) + 1)) + 1) mod 2),(x + 1))
A276936: 2 6 9 10 14 18 22 26 30 34 36 38 42 45 46 50
(((((((if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1) * (((x mod 2) * 2) + 1)) + 1) * 2) + 1) * 2) mod (x + 1))
A341410: 0 0 1 2 0 0 3 2 1 0 10 6 10 2 10 2
((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)) + ((((x + 2) * (x + 1)) div 2) * (x + 1)))
A022815: 1 7 23 55 110 196 322 498 735 1045 1441 1937 2548 3290 4180 5236
((((((((if (x - 1) <= 0 then 1 else (((2 + 2) * 2) * 2)) * (2 + 1)) + 2) * 2) + 1) * 2) * 2) * (x + 1))
A248365: 44 88 1212 1616 2020 2424 2828 3232 3636 4040 4444 4848 5252 5656 6060 6464
((2 - (if x <= 0 then 1 else ((x mod 2) - ((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2)))) * (x + 1))
A245579: 1 2 6 4 10 12 14 8 27 20 22 24 26 28 60 16
(loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) + ((x * 2) * (x + 1)))
A128806: 1 6 14 28 42 64 88 120 146 184 224 272 316 372 428 496
loop(\(x,i).((((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2) * ((i * 2) - 1)) div (i + 1)),x,(x + 1))
A172392: 1 4 30 280 2940 33264 396396 4907760 62573940 816621520 10861066216 146738321184 2008917492400 27815780664000 388924218927000 5484594083378400
compr(\x.(x - loop(\(x,i).((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1)),2,x)),(x + 1))
A072600: 1 3 5 6 7 11 13 14 15 19 21 22 23 25 26 27
loop(\(x,i).((((x div (((((((x div 2) + x) div (2 + 2)) + 1) mod 2) + (x mod 2)) + 1)) mod 2) + 1) + x),x,1)
A160992: 1 2 4 5 6 8 9 10 11 13 14 15 17 19 21 22
loop(\(x,i).(((((((((((2 + 2) + 1) * x) * x) * ((2 + 2) + 1)) * 2) - 1) * 2) * 2) + 1) * x),x,1)
A145452: 1 197 1529074009 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) + 1)) * i),x,1)
A204515: 1 3 40 1050 42336 2328480 163088640 13913499600 1401656256000 162984589447680 21497802046156800 3172717285311974400 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2)
A255201: 0 2 2 4 2 4 2 6 4 4 2 6 2 4 4 8
((((x + 1) div ((x mod ((x div (if (x mod 2) <= 0 then 2 else (x mod (((2 + 2) + 1) * 2)))) + 1)) + 1)) + 1) div 2)
A134838: 1 1 2 1 1 2 1 2 1 3 1 1 1 2 1 2
((if x <= 0 then 0 else (x - (((((x div ((2 + 2) * 2)) + 1) * (x + 1)) div (((2 + 1) * 2) + 1)) - 1))) + 2)
A195994: 2 4 5 6 7 8 8 9 9 10 10 11 12 12 13 14
(((((x div ((2 + 2) + 1)) + 1) div ((x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 2)) + 1)) + 1) div 2)
A029419: 1 0 0 0 0 0 1 1 0 1 0 0 2 1 1 1
(if x <= 0 then 0 else ((x div (2 + 1)) - ((x mod 2) - (((x + 1) div ((x mod (((2 + 2) * 2) + 1)) + 1)) mod 2))))
A070804: 0 0 1 1 2 1 3 2 3 2 4 2 5 3 4 4
(((((((((if x <= 0 then 2 else ((x + 1) div 2)) * (x + 1)) div 2) * x) div 2) div (2 + 1)) div (2 + 1)) + 1) div 2)
A340589: 0 0 0 0 1 1 2 3 4 6 8 11 13 18 20 27
(((loop(\(x,i).(((((2 + 1) * x) * (2 + 1)) + ((x + 1) mod (2 + 1))) + 1),x,1) * (2 + 1)) + 1) div 2)
A037623: 2 18 165 1487 13383 120450 1084052 9756468 87808215 790273937 7112465433 64012188900 576109700102 5184987300918 46664885708265 419983971374387
(((if x <= 0 then 0 else ((((((1 - x) mod (((((2 + 2) + 1) * 2) * 2) + 1)) + 1) div 2) * x) + 1)) + 1) div 2)
A106673: 0 1 11 16 19 23 25
((compr(\x.(2 - ((((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2) * (x + 1)) mod ((2 + 2) + 1))),(x + 1)) + 1) * 2)
A028876: 4 6 8 12 14 16 22 24 32 34 36 38 42 44 46 52
(loop(\(x,i).((((((x * x) div (2 + 2)) mod (((2 + 1) * 2) + 1)) * (2 + 1)) + x) + 1),(x + 1),1) div 2)
A152083: 1 3 6 7 7 8 10 13 14 14 15 17 20 21 21 22
(1 - (((((((loop(\(x,i).(1 - x),(x div ((x mod 2) + 2)),(x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2))
A026821: 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 2
(((((((loop(\(x,i).(x * 2),(2 - ((1 - x) div (2 + 1))),2) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) div 2)
A331195: 0 0 0 1 0 0 1 1 0 1 1 1 2 0 0 2
(((x div 2) + 1) - (1 - ((if x <= 0 then 2 else (1 - ((x + 1) mod ((((x div 2) div (2 + 1)) * 2) + 1)))) div 2)))
A332436: 1 0 1 1 2 2 3 2 4 4 4 5 5 4 7 7
(((((((x + 1) div (2 - (if (x mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0))) + 1) mod (x + 1)) div 2) + 1) div 2)
A127322: 0 0 1 1 1 0 1 1 1 2 2 2 2 2 2 0
(2 - (((x mod 2) * 2) - (if x <= 0 then 1 else ((((((x div (2 + 1)) * (x - 2)) mod (x + 1)) div 2) + 1) * 2))))
A013633: 3 2 4 2 6 4 4 4 6 2 6 4 4 4 6 2
((((loop(\(x,i).(((((x + 1) div 2) div (2 + 1)) + x) + 2),(((x + 2) + 2) + 1),1) div 2) div 2) + 1) + 2)
A120183: 6 7 9 10 12 14 16 19 22 26 30 35 41 48 56 65
(2 - ((((loop(\(x,i).((x * x) * x),1,((1 - ((x mod 2) * 2)) * ((x * 2) + 1))) div 2) div 2) + 1) + 2))
A305291: ~1 6 ~32 85 ~183 332 ~550 843 ~1229 1714 ~2316 3041 ~3907 4920 ~6098 7447
((((loop(\(x,i).((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2),(x + 1),(x + 1)) div 2) div 2) + 1) div 2)
A082145: 1 5 42 336 2640 20592 160160 1244672 9674496 75246080 585761792 4564377600 35602145280 277970595840 2172375244800 16992801914880
((((if x <= 0 then 2 else (x - (((x - (((x * x) * x) div (((2 + 2) * 2) * 2))) div 2) div 2))) div 2) + 1) div 2)
A199122: 1 0 1 1 1 2 2 3 4 5 6 7 9 11 14 16
((((if x <= 0 then x else (((x mod ((x div ((2 + 2) + 1)) + 1)) + 1) * ((x mod 2) + 1))) mod (2 + 2)) + 1) div 2)
A333809: 0 1 1 1 1 0 1 0 1 0 1 1 1 0 2 0
(((2 - ((((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) * 2) + 1) * 2) mod (x + 1))) mod ((2 + 2) + 1)) div 2)
A304685: 1 1 1 0 2 1 0 0 1 0 0 0 0 1 2 0
((((2 + 2) + 1) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (((2 + 2) + 1) * 2))
A048199: 3 2 0 8 4 2 8 6 2 6 4 8 4 2 8 2
((((((loop(\(x,i).((x + 2) * x),1,((x div 2) - (x mod 2))) div 2) div 2) div (2 + 1)) + 1) * (2 + 1)) div 2)
A029151: 1 0 1 1 1 1 3 1 4 3 4 4 7 4 9 7
((((if ((x mod (((x div (2 + 2)) * 2) - 1)) mod 2) <= 0 then 1 else x) mod (((2 + 1) * 2) + 1)) * (2 + 1)) div 2)
A232530: 1 1 1 1 1 1 1 1 1 1 4 1 1 9 1 1
(((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x div 2),1) * (((x mod 2) * 2) + 1)) * (2 + 1)) div 2)
A173712: 1 4 16 49 166 499 1666 4999 16666 49999 166666 499999 1666666 4999999 16666666 49999999
(((1 - (((x mod (((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) * 2) + 1)) + 1) div (2 + 1))) * (2 + 1)) div 2)
A307039: 1 1 0 1 1 0 1 1 0 0 1 1 1 ~2 0 1
(((((x div (((if (x mod (((2 + 2) + 1) * 2)) <= 0 then 0 else 2) * 2) + 1)) div 2) * (2 + 1)) * (2 + 1)) div 2)
A018817: 0 0 0 0 0 0 0 0 0 0 22 4 4 4 4 4
(((((loop(\(x,i).((x + 2) + 2),(((x - 1) div (2 + 1)) - 2),x) div (2 + 1)) + x) + 1) * (2 + 1)) - 2)
A202822: 1 4 7 13 16 19 25 28 31 37 43 49 52 61 64 67
(((loop(\(x,i).((((((x * 2) - 1) div ((x div (2 + 2)) + 2)) mod 2) + 2) + x),x,1) * 2) div (2 + 1)) + 2)
A112235: 2 4 5 7 9 11 13 15 17 18 20 21 22 24 25 26
((((((2 - (loop(\(x,i).(((x div 2) + x) - 2),x,0) div 2)) * ((2 + 2) + 1)) div 2) + 2) div (2 + 1)) div 2)
A329758: 1 1 2 3 4 7 10 15 22 34 51 76 114 171 257 385
((x + 1) div (if x <= 0 then 1 else ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) * 2) div (2 + 1)) + 2)))
A283845: 1 1 1 2 1 2 3 2 2 3 5 3 2 3 5 8
(if x <= 0 then 1 else (((((((x * 2) * 2) - (((x + 1) * 2) div ((2 + 2) + 1))) * 2) + x) div (2 + 1)) * 2))
A315313: 1 6 10 16 20 26 32 38 44 48 54 60 64 70 76 82
(if x <= 0 then 1 else (((((((x * 2) * 2) - (((x div (2 + 2)) + x) div (2 + 1))) * 2) + x) div (2 + 1)) * 2))
A315647: 1 6 12 16 22 26 32 38 44 50 54 60 64 70 76 82
(((((((loop(\(x,i).(x * 2),x,1) mod ((x div 2) + 1)) div 2) + 1) * (2 + 1)) div 2) + (x mod (2 + 1))) div 2)
A287475: 0 1 1 0 1 2 0 1 1 1 2 2 0 2 1 0
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),1) * (((x + 2) * (x + 2)) + 1)) div 2)
A034274: 5 25 119 546 2442 10725 46475 199342 848198 3585946 15080870 63146500 263432340 1095517485 4543460595 18798494550
((((loop(\(x,i).((((2 + 1) * 2) + 1) * (x + 1)),(x div 2),(x mod 2)) + 2) + 1) div ((x * 2) + 1)) div 2)
A086826: 1 0 1 1 3 4 15 24 82
((compr(\x.(2 - ((((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2) + 1) mod (2 + 1))),x) + 1) * 2)
A128691-A100368-A036348: 6 10 12 14 20 22 24 26 28 34 38 40 44 46 48 52
((((((((((x mod 2) + x) div ((2 + 2) + 1)) + x) + (if x <= 0 then 1 else 2)) * 2) * (2 + 1)) + x) + 1) div 2)
A188373: 3 10 13 17 20 27 30 34 37 44 47 51 54 58 61 68
(((((((if x <= 0 then 1 else (((x - ((x div (2 + 1)) mod 2)) div 2) + 2)) * (2 + 1)) div 2) div 2) + x) + 1) * 2)
A139710: 2 6 10 12 14 18 20 22 26 28 30 34 38 40 42 44
(compr(\x.((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) mod (((2 + 2) + 1) * 2)),(x + 1)) div 2)
A082583: 1 2 3 5 6 8 9 11 14 15 18 20 21 22 23 26
(((loop(\(x,i).(((((x + 2) + 2) * (x + 2)) * (x + 1)) div 2),1,((x + 2) * x)) div 2) * (x + 1)) div 2)
A075664: 1 35 405 2584 11375 38961 111475 278720 627669 1300375 2516921 4604040 8030035 13446629 21738375 34080256
((loop(\(x,i).(((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A010991: 1 39 780 10660 111930 962598 7059052 45379620 260932815 1362649145 6540715896 29135916264 121399651100 476260169700 1768966344600 6250347750920
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + x) + (if x <= 0 then 1 else 2))
A064800: 1 3 4 6 6 8 8 11 11 12 12 15 14 16 17 20
((if x <= 0 then 2 else ((((x + 1) div ((x mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2)) + 1)) + 1) div 2)) div 2)
A108455: 1 0 1 0 1 1 0 1 1 2 0 1 1 2 1 0
((((loop(\(x,i).((((2 + 2) * 2) + x) * 2),x,(((2 + 2) * (2 + 1)) + 1)) * (2 + 1)) + 1) * 2) * 2)
A278129: 160 508 1204 2596 5380 10948 22084 44356 88900 177988 356164 712516 1425220 2850628 5701444 11403076
(((((loop(\(x,i).((((x * x) div 2) - (x mod 2)) + 1),1,(x - 1)) * (x - 1)) div (2 + 1)) + 1) div 2) div 2)
A032801: 0 0 0 0 1 3 5 9 14 22 30 42 55 73 91 115
((loop(\(x,i).(x * x),1,((((x + 2) div (2 + 1)) - (((x div (2 + 1)) * 2) div (2 + 1))) + 1)) div 2) div 2)
A178305: 0 1 1 1 2 2 1 2 2 1 2 2 2 4 4 2
(((((((x div ((loop(\(x,i).(1 - (i * x)),x,1) mod (x + 1)) + 2)) + 1) * x) div (2 + 1)) + 1) div 2) div 2)
A241165: 0 0 0 0 0 0 0 1 2 1 3 1 2 2 3 2
((x + 1) div (((x div 2) - (x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2))) + 2))
A328892: 0 1 1 2 1 2 1 4 2 2 1 3 1 2 2 8
(((x div (((loop(\(x,i).(x * 2),x,((((x div 2) div (2 + 1)) + 2) + 2)) - 1) mod (x + 1)) + 1)) + 2) div 2)
A072038: 1 1 2 1 1 2 1 1 3 1 2 2 2 1 1 1
(((loop(\(x,i).((((x + 2) + 2) * x) * 2),1,(((x mod ((2 + 2) * 2)) + 1) mod (x + 1))) + 1) * 2) - 2)
A177725: 0 0 0 0 0 0 0 0 20 48 84 128 180 240 308 384
(if x <= 0 then 1 else ((x div ((x div (((((((x mod 2) * x) div 2) + 1) mod ((2 + 2) + 1)) mod 2) + 1)) + 2)) + 2))
A078570: 1 2 2 2 3 3 3 2 3 2 3 3 3 2 3 3
((((((loop(\(x,i).(x * 2),(x - (((2 + 2) + 1) * 2)),1) div (2 + 1)) * (x + 1)) div 2) + 1) div 2) div 2)
A210634: 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 20
(((((x div (((loop(\(x,i).(x * 2),x,((x mod 2) + 2)) - 1) mod (x + 1)) + 1)) + 1) * (2 + 1)) div 2) div 2)
A079067: 0 0 1 0 2 0 3 0 1 1 4 0 5 2 1 0
(((((loop(\(x,i).((((i mod 2) + x) * (2 + 1)) + x),x,1) - ((x mod 2) * 2)) + 1) * (2 + 1)) div 2) + 2)
A276300: 5 11 45 173 693 2765 11061 44237 176949 707789 2831157 11324621 45298485 181193933 724775733 2899102925
(((((((loop(\(x,i).((x div ((x mod 2) + 2)) + x),x,2) + 1) * (x + 2)) div 2) div 2) div (2 + 1)) + 2) div 2)
A337495: 1 1 1 2 3 4 7 11 16 26 42
(((compr(\x.(2 - (x mod (((if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1) + 2) * (2 + 1)))),x) * (2 + 1)) div 2) - 2)
A213539: 1 2 4 5 7 8 10 11 14 16 19 20 22 23 28 29
((((((loop(\(x,i).(1 - ((x * x) div (x - ((2 - x) div 2)))),2,x) + x) div 2) + x) * (2 + 1)) div 2) + 2)
A183234: 2 5 8 9 12 14 17 20 23 26 27 30 33 35 38 41
((loop(\(x,i).(x * 2),x,compr(\x.(x mod ((((x mod ((x mod 2) + 2)) * 2) * 2) + 1)),((x + 2) + 1))) div 2) div 2)
A240135: 1 3 8 18 40 96 224 480 1024 2304 5120 10752 22528 49152 102400 212992
(((compr(\x.((x + 1) mod ((x div ((loop(\(x,i).((x + 1) * 2),x,1) mod (x + 1)) + 2)) + 1)),x) + 1) * 2) * 2)
A322136: 4 8 12 16 24 32 36 40 48 64 72 80 96 108 112 120
((x - ((loop(\(x,i).(x * 2),x,((x mod ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1)) mod (x + 1)) div 2)) div 2)
A085599: 0 0 1 1 2 1 3 3 3 3 5 3 6 5 4 7
((((loop(\(x,i).(x * 2),x,((x mod ((2 + 1) * 2)) - (x mod ((2 + 2) + 1)))) - 1) mod (x + 1)) div 2) div 2)
A333707: 0 0 0 0 1 0 1 1 1 1 0 1 2 2 1 3
(1 - ((x mod (((((if (((x div 2) - 2) - 2) <= 0 then 1 else (x div (2 + 1))) * 2) + 1) mod (x + 1)) + 2)) div 2))
A321895-A321758: 1 1 1 0 ~1 1 1 0 0 ~1 1 0 1 0 0 0
((((((x mod 2) + x) div ((2 + 2) + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2))) - (((x + 1) div 2) div 2))
A313581: 1 5 10 14 19 25 30 34 39 45 50 54 59 64 69 74
((((((if (x mod (1 - (((1 - x) div ((x div 2) + 2)) * 2))) <= 0 then 1 else x) + 2) * (2 + 1)) div 2) div 2) - 2)
A271439: 0 0 1 0 2 3 0 4 5 6 0 7 8 9 10 0
((((loop(\(x,i).(((x * 2) * 2) * 2),x,(((((2 + 1) * x) + 2) * (2 + 1)) + 1)) div 2) div 2) div 2) div 2)
A229282: 0 8 100 1088 11008 106496 999424 9175040 82837504 738197504 6509559808 56908316672 493921239040 4260607557632 36558761623552 312261302288384
((loop(\(x,i).(x * x),1,((x div (1 - ((1 - x) div (((x mod ((2 + 1) * 2)) + 1) + 2)))) * 2)) div 2) div 2)
A262690: 0 1 1 1 4 4 4 4 4 9 9 9 4 9 9 9
((((((((((loop(\(x,i).(x * 2),x,2) * (2 + 1)) + 2) * 2) * (2 + 1)) - 1) * 2) * 2) * 2) * 2) + 2)
A304608: 754 1330 2482 4786 9394 18610 37042 73906 147634 295090 590002 1179826 2359474 4718770 9437362 18874546
((((((loop(\(x,i).((x * x) * x),1,((((x * 2) * 2) * (x + 1)) + 1)) div 2) div 2) div 2) div 2) div 2) div 2)
A219089: 0 11 244 1838 8303 27680 75418 177978 377149 735091 1340095 2313060 3814697 6053445 9294114 13867245
(1 - ((x + 1) div ((x div (if (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2) <= 0 then 1 else (2 + 2))) + 2)))
A335977: 1 1 1 1 0 1 1 ~1 ~1 1 1 ~2 ~1 ~1 1 1
loop(\(x,i).((((((((x + 2) * 2) * 2) + x) * 2) * ((2 + 2) + 1)) - 1) * (x + 1)),x,((2 + 2) * 2))
A100351: 8 4311
(((((((((if x <= 0 then 2 else 1) - x) mod (((2 + 2) * 2) + 1)) + (x * 2)) div (2 + 1)) + x) + 2) * 2) - 2)
A194388: 2 4 14 16 18 22 24 26 30 32 34 44 46 48 52 54
((x div 2) - ((x - ((loop(\(x,i).(((((x * x) div (2 + 2)) + x) div (2 + 1)) + 1),2,x) div 2) div 2)) div 2))
A067772: 0 0 0 0 0 0 1 0 1 1 2 2 4 4 6 7
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else ((x div 2) - (((x div 2) mod 2) * 2)))
A205552: 1 1 1 1 2 1 1 1 4 1 1 3 6 6 1 1
(((((((x + 2) + 2) * 2) * (2 + 1)) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) mod (2 + 2))
A035148: 1 1 1 1 0 1 1 1 1 0 0 1 2 1 0 1
((if x <= 0 then 1 else (((((((x div 2) + 1) div (2 + 1)) * ((((x + 1) div 2) div 2) + 1)) div 2) + x) + 2)) + 2)
A216189: 3 5 6 7 9 10 11 12 13 14 17 19 20 21 22 24
(((((x * x) div loop(\(x,i).(x + 1),(((x * 2) div (((x div (2 + 2)) + 2) + 2)) + 2),2)) + x) div 2) + 2)
A060620: 2 2 3 4 5 6 8 9 11 12 14 16 18 20 21 23
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),(x + 2)) * (x + 1)) div ((x + 2) + 2))
A002694: 1 6 28 120 495 2002 8008 31824 125970 497420 1961256 7726160 30421755 119759850 471435600 1855967520
((((loop(\(x,i).((((x + 2) * 2) + x) * ((x + 2) + 2)),(x * 2),(2 + 1)) * 2) + 1) + (x * 2)) - 2)
A242833: 5 52631 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1)) + (x * 2)) * 2))
A311612: 1 4 8 12 18 22 28 32 36 40 44 48 52 58 62 68
(if x <= 0 then 1 else (((((((x - ((x * 2) div ((2 + 2) + 1))) * (2 + 1)) - x) div 2) div 2) + (x * 2)) * 2))
A310342: 1 4 10 12 18 22 26 32 34 40 44 48 54 56 62 66
((if x <= 0 then 1 else ((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1))) + ((x * 2) * 2))
A311458: 1 4 8 12 17 21 26 30 34 38 42 46 50 55 59 64
(if x <= 0 then 1 else ((((((((1 - (x div 2)) mod (2 + 2)) + x) div 2) + x) * 2) div (2 + 1)) + ((x * 2) * 2)))
A313635: 1 5 10 14 20 26 30 35 40 45 50 54 60 66 70 75
((((((x - (((x div 2) div (2 + 1)) mod 2)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A312926: 1 4 9 13 18 22 26 30 34 39 43 48 52 56 61 65
compr(\x.((x - ((x * x) mod ((((2 + 2) * (x + 1)) * (2 + 1)) - x))) div 2),(if x <= 0 then 1 else ((x * 2) * 2)))
A058759: 1 4 8 13
A311797: 1 4 8 13 17 21 25 29 33 37 41 45 50 54 59 63
(((((((2 - (x div 2)) mod ((2 + 1) * 2)) + x) div (2 + 1)) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314841: 1 5 9 14 18 23 28 33 38 42 47 51 56 61 65 70
((((1 - x) div ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314898: 1 5 9 14 19 24 29 34 39 43 48 53 57 62 67 72
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + (((((x + 1) div 2) div 2) * (x div 2)) mod 2))
A171048: 2 3 5 8 11 13 18 19 23 29 31 38 41 43 48 53
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - (((((x + 1) div 2) div 2) * (x div 2)) mod 2))
A171040: 2 3 5 6 11 13 16 19 23 29 31 36 41 43 46 53
((((((if x <= 0 then 1 else (((((x * 2) * 2) * 2) - (x div (2 + 1))) * 2)) + 2) + 2) + x) + (x mod 2)) + 2)
A063165: 7 24 40 56 72 90 104 122 138 154 170 188 202 220 236 252
(compr(\x.(((loop(\(x,i).(((x * 2) - ((1 - (x div 2)) div (2 + 1))) + 1),x,1) div 2) mod (2 + 1)) - 1),x) + 2)
A286057: 2 3 4 6 7 9 10 11 12 13 14 15 18 19 20 22
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((((x mod ((2 + 2) * 2)) + 1) * x) + 2))
A171014: 0 3 5 7 11 13 17 19 3 9 31 37 41 43 47 53
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) * ((((x * 2) + 1) * (2 + 1)) + x)) div 2)
A026619: 1 5 17 60 217 798 2970 11154 42185 160446 613054 2351440 9048522 34916300 135059220 523521630
(if x <= 0 then 1 else ((((x - ((((x * 2) div (((x div (2 + 2)) + 2) + 2)) mod 2) * 2)) div (2 + 1)) + x) * 2))
A058825: 1 2 4 6 8 12 16 18 20 22 24 28 30 32 36 40
loop(\(x,i).(x * x),1,((((((((x + 1) div ((2 + 2) + 1)) * (x div (2 + 1))) div 2) + 1) div 2) + x) + 2))
A340674: 4 9 16 25 36 49 81 100 121 169 196 225 256 289 361 441
(if x <= 0 then 1 else ((((((x - ((((1 - x) * (x div 2)) div 2) div (2 + 1))) mod (2 + 1)) + x) div 2) + x) * 2))
A231407: 1 4 6
A171945: 1 4 6 10 14 16 18 22 24 26 30 34 38 40 42 46
(compr(\x.(1 - (loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) mod (((x mod 2) * x) + 2))),x) + 2)
A273200: 2 3 4 5 7 8 9 11 13 16 17 19 21 23 25 27
compr(\x.(2 - ((x + 2) mod ((2 + 2) * (2 + 1)))),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A031344: 2 3 5 7 13 15 19 21 27 33 37 43 49 51 55 63
((((x div ((2 + 2) * 2)) + 2) * (x + 1)) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A082899: 0 1 1 1 ~1 ~1 ~3 ~3 4 1 2 ~1 ~2 ~1 ~2 ~5
compr(\x.(2 - ((x + 2) mod (((2 + 2) + 1) * 2))),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A004682: 2 3 5 7 13 15 21 23 27 35 37 45 51 53 57 65
(1 - ((((x + 1) mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1) mod (x + 2)))
A295306-A295303: 0 0 1 ~1 1 1 1 0 ~1 1 1 0 1 1 1 ~1
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),((x div 2) + 1),((x mod 2) + 1)) - 1) - (x + 2))
A194124: 0 2 5 14 28 62 117 242 451 912 1703 3418 6420 12854 24293 48602
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(2 - (x - (((x * 2) * 2) * 2)))) div (x + 2))
A000782: 1 3 8 23 70 222 726 2431 8294 28730 100776 357238 1277788 4605980 16715250 61020495
((((((x div ((if (x mod 2) <= 0 then ((x div 2) mod 2) else (2 + 1)) + 1)) + 1) * 2) mod (2 + 1)) + 1) + (x * 2))
A325428: 3 5 6 9 10 12 15 16 17 19 21 23 27 29 30 33
(((if x <= 0 then 1 else ((((x - (((x mod ((2 + 1) * 2)) - (x div 2)) div 2)) div 2) div 2) + x)) + x) + (x * 2))
A311292: 1 4 8 12 16 21 26 30 34 38 42 46 51 56 60 64
((((x * 2) - ((1 - (((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2))) div (2 + 1))) + 1) - (x div 2))
A285971: 2 6 8 11 14 18 21 24 26 30 32 35 38 41 43 47
((if x <= 0 then 0 else ((x mod 2) - (1 - (x mod ((((x div 2) - (x mod 2)) mod ((x div 2) + 1)) + 1))))) + (x div 2))
A117248: 0 0 0 1 2 3 4 4 6 5 8 6 10 7 12 8
((((loop(\(x,i).((((((x * x) div 2) div (2 + 1)) + x) div 2) + 1),2,x) div (2 + 1)) + x) div 2) - (x div 2))
A238708: 0 0 0 1 0 1 1 2 2 3 4 5 6 8 10 13
((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) - (x mod 2)) + 1) + x) + (x div 2))
A284791: 2 3 8 9 13 15 20 22 26 27 32 33 37 39 43 44
(((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 1)) + 1)) + 1) + (x mod 2))
A276632-A134332-A079866: 1 2 3 2 5 2 7 2 3 3 11 2 13 3 3 2
(((if (x - 1) <= 0 then 0 else (((x - 1) mod ((x mod ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1) + (x mod 2))
A196437: 1 2 2 3 2 4 2 3 3 3 2 5 2 3 3 3
(((((x div 2) * x) mod ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then ((2 + 2) * 2) else 1) + 1)) + 1) + (x mod 2))
A268361: 1 2 1 3 1 2 1 5 1 2 1 3 1 2 1 8
((((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + (i mod 2)),x,1) * (2 + 1)) * (2 + 1)) + 1) - (x mod 2))
A179557: 10 99 991 9909 99091 990909 9909091 99090909 990909091 9909090909 99090909091 990909090909 9909090909091 99090909090909 990909090909091 9909090909090909
((((x + 1) div (((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 2) * (x mod 2)) + 1)) + 1) - (x mod 2))
A109170: 2 1 4 2 6 2 8 4 10 3 12 4 14 4 16 8
((((((0 - x) mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1) mod (x + 1)) + 1) + (x mod 2))
A327730: 1 2 2 4 2 4 2 4 2 4 2 8 2 4 4 4
((((((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2) + (if x <= 0 then 0 else 1)) * 2) + 1) - (x mod 2))
A086374: 1 2 3 2 3 4 3 2 5 4 3 4 3 4 7 2
(((x + 1) div (if x <= 0 then 1 else ((((1 - (((x div 2) mod 2) * 2)) mod ((x div 2) + 1)) + 1) * 2))) - (x mod 2))
A280605: 1 0 0 0 1 0 0 0 2 1 0 0 3 2 0 0
((if x <= 0 then 1 else (((((x div 2) div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1) div (2 + 1)) + 2)) - (x mod 2))
A073407: 1 1 2 1 3 1 3 1 3 2 4 1 4 2 4 1
((if (x - 1) <= 0 then 1 else (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) + (x mod 2)) * 2)) - (x mod 2))
A204065-A056898: 1 0 0 1 0 1 0 3 2 1 0 1 0 3 2 1
(loop(\(x,i).((((((((i * 2) + 1) * x) * 2) div (i + 2)) * ((i * 2) - 1)) div (i + 1)) * 2),x,x) div 2)
A046715: 0 1 10 105 1176 13860 169884 2147145 27810640 367479684 4936848280 67255063876 927192688800 12914469594000 181497968832600 2570903476583625
(((((if (x div ((2 + 2) * 2)) <= 0 then 1 else (x div (((2 - x) div (2 + 2)) - 2))) + (x * 2)) + x) + x) + 2)
A254311: 3 7 11 15 19 23 27 31 32 35 39 43 47 51 55 59
(((((if x <= 0 then 1 else (((((((x mod 2) + x) * (2 + 1)) + x) + 1) * 2) * 2)) * 2) * (2 + 1)) + 1) + x)
A308610: 7 194 219
((((((if x <= 0 then 0 else (1 - ((0 - ((1 - x) mod ((2 + 2) + 1))) div 2))) + 1) + x) div (2 + 1)) + 1) + x)
A288224: 1 3 5 6 7 8 9 11 13 14 15 16 18 19 20 22
((if x <= 0 then 1 else (((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((x + 2) * x) * (2 + 1))) - 1)) + x)
A330395: 1 9 26 51 85 129 184 251 331 425 534 659 801 961 1140 1339
compr(\x.(1 - (x mod (((2 - (((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) - 1)) * 2) + 1))),x)
A345944: 1 2 3 4 5 7 9 11 13 16 17 19 23 25 27 29
((((((x * 2) + 1) div ((((x mod ((if (x mod (2 + 2)) <= 0 then 0 else 2) + 1)) div 2) * 2) + 1)) * 2) + 1) - x)
A120229: 3 6 1 12 15 2 21 24 27 30 33 4 39 42 5 48
(((loop(\(x,i).((x div 2) + 2),(x - ((2 + 2) * 2)),1) + ((x * 2) * 2)) + ((x + 1) div (2 + 1))) + x)
A315690: 1 6 12 17 22 28 33 38 44 50 56 62 67 72 78 83
(((x * x) div (((if x <= 0 then 1 else (x - (((x mod ((x div 2) + 2)) div (2 + 1)) * 2))) + 2) + (2 + 1))) + x)
A060831: 0 1 2 4 5 7 9 11 12 15 17 19 21 23 25 29
((((((((x + 2) div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2)) + x) + 2) + x) * 2) div (2 + 1)) - x)
A324473: 1 2 2 3 4 4 4 5 6 6 7 7 7 7 8 9
((if (x - 1) <= 0 then 1 else (2 - ((1 - ((((x div ((2 + 2) * 2)) * (2 + 1)) * 2) + x)) div (2 + 1)))) + x)
A193260: 1 2 5 6 7 9 10 11 15 16 17 19 20 21 23 24
((((loop(\(x,i).(x - ((((((x mod 2) * 2) - 1) - x) div ((2 + 2) + 1)) - 1)),x,1) + x) div 2) + 1) - x)
A066447: 1 1 2 2 3 4 6 8 10 13 16 20 26 32 40 50
(((((loop(\(x,i).(x * x),1,(((1 - x) * (x * 2)) - 1)) div (2 + 1)) + ((x - 1) * x)) div 2) + 1) - x)
A345897: 1 0 4 29 107 286 630 1219 2149 3532 5496 8185 11759 16394 22282 29631
((((loop(\(x,i).((1 - (((((2 - x) div (2 + 2)) - x) div 2) * (2 + 1))) - 1),2,x) div 2) + x) + 1) + x)
A190546: 1 6 8 13 18 20 25 30 32 35 37 42 47 49 54 59
((((((if x <= 0 then 1 else ((((x + 1) div ((2 + 2) + 1)) * 2) + x)) + x) * 2) * (2 + 1)) div (x + 1)) + x)
A083133: 6 7 10 12 16 17 18
((loop(\(x,i).(((((x * x) * (x * x)) + 1) * x) * ((x * x) + 1)),1,(x + 1)) + 1) + ((x + 1) * x))
A123111: 5 173 2467 17489 81401 287965 840743 2130497 4842829 10101101 19649675 36082513 63122177 105954269 171622351 269488385
loop(\(x,i).((((((x - ((((((x - 1) * x) div 2) + 1) div 2) div 2)) div 2) + x) + 2) div 2) + x),(x - 1),x)
A079287: 0 1 4 10 18 23 25
(x - ((((x - ((((x * x) + 2) * ((x + 2) + 1)) div (2 + 1))) div 2) + (x * 2)) + (if x <= 0 then 1 else x)))
A306262: 0 0 0 4 11 24 42 68 101 144 196 260 335 424 526 644
compr(\x.(if x <= 0 then 1 else ((x mod ((x div (((((x * 2) mod (((2 + 1) * 2) + 1)) + 1) * 2) + 1)) + 1)) * 2)),x)
A128168: 1 2 3 4 5 6 8 9 10 12 15 16 20 24 27 30
(((((((((loop(\(x,i).((((x div 2) + x) + 1) * 2),x,1) * x) div 2) + 1) div 2) + 1) div 2) + 1) * 2) * x)
A265084: 0 4 20 108 544 2540
loop(\(x,i).((x mod (((2 + 2) * 2) + 1)) - 1),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),x)
A180018: 0 0 1 1 3 3 4 4 7 7 ~1 ~1 1 1 2 2
((x + 1) - loop(\(x,i).((((x * 2) + 1) div (2 + 1)) - ((((x - 1) * x) div 2) div ((x + 2) + 1))),2,x))
A227065: 1 1 2 3 3 5 5 6 7 8 8 9 10 12 12 14
((((((loop(\(x,i).((i * x) * (2 + 2)),((2 + 2) + 1),x) + 1) * (x + 1)) + 2) * (x + 1)) + 2) + x)
A123693: 5 491531
compr(\x.((x - (1 - (x mod ((x div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)))) mod ((2 + 2) * 2)),x)
A319281: 1 16 17 33 49 65 81 97 113 129 145 161 177 193 209 225
(if (2 - ((x + 1) div (((((x div 2) * (x + 1)) mod (2 + 1)) * 2) + 1))) <= 0 then ((x div (2 + 2)) + 2) else x)
A079243: 0 2 2 3
A229989: 0 2 2 3 4 3 3 3 4 4 4 4 5 5 5 5
((((((((if (x mod (2 + 2)) <= 0 then 2 else 1) + (x * 2)) + (x div (2 + 1))) + x) div (2 + 1)) + 2) + x) + x)
A184872: 2 5 8 11 15 17 21 24 27 30 33 36 40 42 45 49
((if x <= 0 then 1 else ((((x mod ((((((x div (2 + 2)) + 1) mod 2) * (x div 2)) + 2) + 1)) div 2) * 2) + x)) - x)
A103272: 1 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0
(loop(\(x,i).(((x - ((2 - ((x + 1) mod (1 - (x mod (1 - ((2 + 2) * 2)))))) div 2)) div 2) + 2),2,x) + x)
A299491: 2 4 6 7 8 9 10 11 13 14 15 16 18 19 20 22
loop(\(x,i).((((((x + 2) + 2) + 2) * 2) * (((2 + 1) * 2) + 1)) + x),1,(((x * x) * x) * (x * x)))
A113931: 84 99 564
(((((((((if ((x - 1) mod (2 + 2)) <= 0 then 1 else 2) * (x + 1)) div (2 + 1)) + 1) + x) mod 2) + x) + x) + x)
A190742: 1 3 7 9 12 15 19 22 25 28 30 33 37 39 43 45
((((if x <= 0 then 1 else (((x div (((x mod (2 + 1)) + 1) * ((2 + 2) + 1))) mod 2) + (x * 2))) + x) + x) + x)
A313736: 1 5 10 15 20 25 31 35 40 46 51 55 60 66 70 76
(((((((((((loop(\(x,i).((x * x) * x),2,x) + x) div 2) + x) * x) * x) * x) div 2) * x) * x) * x) * x)
A283028: 0 1 16576 10766601 1073790976 38147265625 705278736576 8308236966001 70368756760576 463255079498001 2500000075000000 11487432626662201 46221065046245376 166354152907593001 544488335559184576 1642102090850390625
((x div ((x mod ((x mod ((x div ((2 div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + 1)) + 1)) + 1)) + 1)
A346152-A088387: 1 2 3 2 5 3 7 2 3 5 11 2 13 7 5 2
((x div ((x mod ((x mod ((x div ((((x * 2) mod ((x div (2 + 1)) + 1)) mod 2) + 2)) + 1)) + 1)) + 1)) + 1)
A071889: 1 2 3 2 5 2 7 2 3 2 11 2 13 7 3 2
((x div ((x mod (x - ((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) - 1))) + 1)) + 1)
A340679-A340677-A290479-A166142: 1 1 1 1 1 6 1 1 1 10 1 6 1 14 15 1
compr(\x.((x div 2) mod 2),(((x div 2) mod ((x mod (((((2 + 1) * 2) + 1) mod ((x div 2) + 1)) + 1)) + 1)) + 1))
A212173: 1 1 1 4 1 1 1 8 4 1 1 4 1 1 1 16
((x mod ((x mod ((((((1 - x) mod (2 + 2)) * (((2 + 1) * 2) + 1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)
A235872: 1 2 1 4 1 2 1 8 9 2 1 4 1 2 1 16
((x mod ((x mod ((((x mod ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)
A303781: 1 1 1 1 1 2 1 4 3 2 1 6 1 2 1 1
((x mod ((x mod ((x div (((((((x div (2 + 2)) + 1) * (x div 2)) div 2) + 1) mod 2) + 2)) + 1)) + 1)) + 1)
A098372: 1 1 1 2 1 2 1 4 3 2 1 6 1 2 5 4
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((0 - x) mod ((2 + 2) + 1)) - 1)) + 1)
A259341: 1 1 1 1 1 1 1 3 2 1 1 4 5 2 1 1
(((x * x) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1)
A245185-A242093-A131373-A034853: 1 1 1 1 1 1 1 2 2 1 1 2 5 2 1 1
(((x + 1) mod ((((((((x * x) div ((x div (2 + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A200648: 1 1 2 2 3 3 3 4 3 4 4 4 5 4 4 5
(((1 - (x * 2)) mod ((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div (2 + 1)) + 1)) + 1)
A108888: 1 1 1 1 2 1 1 3 1 1 1 4 3 1 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1)
A146532-A082907: 1 1 1 1 2 1 1 1 1 1 1 4 2 4 1 1
(x - (((1 - (((x div ((2 + 2) + 1)) mod 2) * 2)) mod ((((x mod ((2 + 2) + 1)) + 1) * 2) + 1)) - 1))
A167831: 0 1 2 3 4 4 3 2 1 0 10 11 12 13 14 14
((x + 1) div ((x mod ((((x div 2) + 1) mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 1))
A090395: 1 1 3 4 5 3 7 2 3 5 11 2 13 7 15 16
(((2 + 1) mod ((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + 1)) + 1)
A329618: 1 1 1 2 1 2 1 1 2 2 1 1 1 2 2 4
((x mod ((((2 - (((x - 2) - (x div (2 + 1))) mod (2 + 1))) mod ((x div (2 + 1)) + 1)) * 2) + 1)) + 1)
A098802-A048804: 1 1 1 1 2 1 1 3 3 1 1 2 3 2 1 1
(((x * x) mod ((((((x * 2) * 2) - 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * 2) + 1)) + 1)
A165194: 1 1 1 1 1 2 1 1 1 2 1 2 5 2 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div ((2 + 2) + 1)) * 2) + 1)) + 1)
A274310-A172991: 1 1 1 1 2 1 1 4 4 1 1 6 11 6 1 1
(((x + 1) div (((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)) + 1)) + 1)
A131470: 2 3 2 5 3 4 3 9 5 6 4 7 5 5 4 17
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((x - 1) div 2) mod 2) * 2) - 1)) + 1)
A307079: 1 1 1 1 2 1 1 2 2 1 1 2 3 0 1 1
(((((((x + 1) * 2) * (2 + 1)) - (x div (((2 + 1) * 2) + 1))) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A037905: 6 3 9 6 3 9 6 2 8 5 2 8 5 2 7 4
(((((((((x + 1) div 2) div 2) mod (2 + 2)) + 1) * ((x div (2 + 1)) + 1)) + 1) div ((2 + 2) + 1)) + 1)
A194621: 1 1 1 2 2 2 2 3 3 3 3 4 5 5 5 2
(((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) div (((x * x) mod (((x + 2) + 2) + 1)) + 1))
A176918: 1 ~1 0 ~1 0 0 ~1 1 0 0 ~1 0 0 0 0 ~1
((((x + 1) - (x div (((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1))) div (2 + 1)) + 1)
A336424: 1 1 1 2 1 1 1 3 2 1 1 3 1 1 1 5
(((((x + 1) div (((((((x * 2) mod ((x div 2) + 2)) - 1) div 2) mod 2) * 2) - 1)) + 1) mod (2 + 1)) - 1)
A091338: 1 ~1 0 1 ~1 0 ~1 ~1 0 1 1 0 1 1 0 1
((((((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) - 1) mod (2 + 1)) - 1)
A103447: 1 1 1 1 ~1 1 1 ~1 ~1 1 1 0 1 0 1 1
(((((x + 2) mod (((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1) * 2)) + 1) div (2 + 1)) + 1)
A317954: 1 2 1 3 1 2 1 4 1 2 1 3 1 2 1 1
((((x + 1) div 2) div 2) div ((((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod (2 + 1)) + 1))
A093555: 0 0 0 0 1 0 0 1 1 2 0 1 3 1 1 1
(((((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) div 2) * ((x div (2 + 2)) + 1)) div (2 + 1)) + 1)
A179009: 1 1 1 1 1 2 1 1 2 3 1 2 2 3 5 1
(((x - (1 - (((x mod ((((x mod ((2 + 2) + 1)) + 1) * 2) + 1)) + 1) div (2 + 1)))) mod (2 + 1)) - 1)
A174854: 1 ~1 1 ~1 0 1 1 ~1 0 1 ~1 0 0 0 1 1
((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) + (x mod 2)) div (2 + 1)) * (2 + 1)) + 1)
A316620-A316123-A305360-A304952-A304676-A304010: 1 1 1 1 4 1 1 7 7 1 1 13 13 13 1 1
((((1 - (((((x div ((2 + 2) * 2)) + x) mod ((2 + 2) + 1)) * 2) - 1)) mod (x + 1)) div (2 + 1)) + 1)
A186807-A114282-A093628: 1 1 1 1 2 1 1 3 2 1 1 4 4 3 1 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 + 1)) + 1) div 2) * (2 + 1)) + 1)
A174095: 1 1 1 1 7 1 1 7 7 1 1 7 10 7 1 1
(1 div ((x + 1) mod ((((((((x * 2) - 1) mod (((2 + 1) * 2) + 1)) * 2) - 1) * 2) * (2 + 1)) - 1)))
A284502: 1 0 0 0 ~1 0 0 0 0 0 0 ~1 0 0 0 1
((((((((x * 2) + 1) mod ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) div 2) + 1) * 2) div (2 + 1)) + 1)
A106036: 1 2 1 2 3 1 2 1 2 3 1 2 3 3 1 2
(((((((x + 1) div (2 - ((((2 + 2) * 2) * 2) mod ((0 - x) - 1)))) div 2) + 1) * 2) div (2 + 1)) + 1)
A306694-A296134: 1 1 1 2 1 1 1 3 2 1 1 1 1 1 1 4
((((((((((x * 2) + 1) div (2 + 1)) * ((x div (2 + 1)) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A029058: 1 1 1 2 2 2 3 3 3 5 6 6 8 9 9 11
((((((((1 - (((x div 2) div (2 + 1)) + 2)) * ((2 - x) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A029109: 1 1 1 1 1 1 2 3 3 3 3 4 5 6 7 7
(((((((x * 2) - (x div ((2 + 2) * (2 + 1)))) + 2) + (x div ((2 + 2) + 1))) * 2) div (2 + 1)) + 1)
A242482-A085784-A085783: 2 3 5 6 7 9 11 12 13 15 17 18 19 20 21 23
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) * (2 + 1)) + 1)
A287326: 1 1 1 1 7 1 1 13 13 1 1 19 25 19 1 1
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) * (2 + 1)) + 1)
A124376-A047671: 1 1 1 1 4 1 1 7 7 1 1 10 19 10 1 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * (2 + 1)) + 1)
A081577: 1 1 1 1 4 1 1 7 7 1 1 10 22 10 1 1
((((((x + 1) * 2) * (2 + 1)) + (x div (((2 + 2) * 2) + 1))) - (((x + 1) div 2) div (2 + 1))) - 1)
A189751: 5 11 17 23 29 34 40 46 52 59 65 70 76 82 88 94
(((x - ((((2 - ((2 - x) div ((2 + 2) * 2))) mod ((x div (2 + 1)) + 1)) div 2) * 2)) mod (2 + 1)) + 1)
A106590: 1 2 3 1 2 3 1 2 3 2 3 3 3 1 2 3
((x + 1) mod ((((((((x + 2) * x) div (((x div 2) + x) + (2 + 2))) + 1) * 2) * 2) div (2 + 1)) + 1))
A029315: 1 0 0 1 0 0 1 1 0 1 1 1 2 1 2 2
((x - (((x mod (((2 + 2) + 1) * 2)) - x) * (((2 + 2) * 2) + 1))) * (((2 + 2) * (2 + 1)) - 1))
A338754: 0 11 22 33 44 55 66 77 88 99 1100 1111 1122 1133 1144 1155
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 - (x div 2))) div 2) mod (2 + 1)) + 1)
A178395-A098505: 1 1 1 1 1 1 1 3 3 1 1 2 3 2 1 1
((((((((x - (((x - 2) * 2) div (((2 + 1) * 2) + 1))) * 2) * 2) + 1) + x) * 2) div (2 + 1)) - 1)
A094350: 2 5 6 9 13 16 17 20 23 24 27 31 34 35 38 41
((((((((((x * x) div (2 + 1)) * ((2 + 2) + 1)) * (2 + 1)) + 2) + x) + x) * 2) div (2 + 1)) - 1)
A292472: 0 1 13 34 55
((((((((x div (2 - (x div (((2 - x) div (2 + 2)) - 1)))) + x) + 1) * 2) * 2) + x) div (2 + 1)) + 1)
A187951: 2 4 5 7 10 12 13 15 17 18 20 23 25 26 28 31
(((((((1 - x) div ((((x + 1) div 2) div (2 + 1)) + 2)) + ((x + 1) * 2)) * 2) + x) div (2 + 1)) + 1)
A184867: 2 4 5 6 7 9 11 12 13 15 17 18 20 22 23 24
(2 div (((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) * (2 + 1)) + 1) mod ((x + 2) + 1)) + 1))
A176891: 1 1 0 1 0 0 1 2 0 0 1 0 0 0 0 1
(((x mod 2) + 1) div ((x mod ((((((x + 2) mod (((2 + 1) * 2) + 1)) mod 2) + 1) + (x mod 2)) + 1)) + 1))
A257217: 1 1 1 0 1 0 1 1 0 2 0 0 1 1 1 0
((x mod (((((x * 2) mod ((((((x mod 2) * 2) * 2) * 2) + 1) * (2 + 1))) * 2) + (x mod 2)) + 1)) + 1)
A064830: 1 2 3 4 5 6 1 8 3 10 1 12 1 14 3 8
(x - ((((x div ((((x + 2) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)) + 1) mod (x + 1)) - 1))
A293303: 1 2 3 2 5 6 7 6 6 10 11 6 13 14 15 12
((((((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + 2)) + 1) mod (2 + 1)) - 1) mod (x + 1)) + 1)
A331287: 1 2 1 1 1 2 1 2 9 2 1 12 1 2 1 1
(x - ((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1)) - 1))
A108514: 1 2 2 4 4 4 6 8 6 8 10 8 12 12 10 16
(((1 - (((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod ((2 + 2) + 1))) div (x + 1)) + 1)
A128189: 1 ~1 1 0 0 1 0 0 0 1 0 0 1 0 1 0
(x - ((x mod ((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 2)) - 1))
A101322: 1 1 1 4 1 5 1 6 9 7 1 11 1 9 13 16
((((x + 1) * x) div ((2 + 2) + 1)) mod ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1))
A123391: 0 0 0 2 0 0 0 3 2 0 0 2 0 0 0 0
(((x + 1) div (((x div ((((x div ((2 + 2) * 2)) + 1) * ((x mod 2) + 1)) * (2 + 1))) + 1) + 2)) + 1)
A078705: 1 1 2 2 2 3 2 3 3 4 3 5 3 4 4 5
(((x - (((((((((x - 2) div (2 + 1)) * (x div 2)) + 1) div 2) + 1) * 2) div (2 + 1)) - 1)) div 2) + 1)
A238407: 1 2 2 3 3 3 3 4 4 4 4 4 4 5 3 4
(((x mod ((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) + 1)) div 2) + 1)
A331485: 1 1 1 1 1 1 1 2 2 1 1 3 7 3 1 1
((((((x div (((x - 1) mod (((((x div (2 + 1)) mod 2) + 1) * 2) + 1)) + 1)) + 1) div 2) + 1) div 2) + 1)
A141256: 1 2 2 2 2 2 2 3 2 2 2 4 2 5 3 2
((((((x div (((((((1 - x) mod ((2 + 2) * 2)) + 2) + 1) div 2) div 2) + 1)) + 1) div 2) + 1) div 2) + 1)
A072628: 1 2 1 2 2 2 2 2 2 4 2 2 2 3 3 3
(((((x - ((((x div ((2 + 2) + 1)) + 1) mod ((((x + 1) div 2) div 2) + 1)) - 1)) mod 2) + 1) * 2) - 1)
A122567: 3 1 3 3 1 1 3 1 3 1 3 3 1 3 1 1
((((((x + 1) mod (((((x + 1) mod ((2 + 2) * 2)) mod (2 + 1)) * (2 + 1)) + 1)) div 2) + 1) * 2) - 1)
A255670: 1 3 1 1 5 1 3 1 1 3 1 1 7 1 3 1
(((((((((((x - (((x div 2) - 1) div 2)) * (x + 2)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1)
A018119: 1 2 2 2 2 2 3 3 4 4 4 5 6 7 7 8
((((((((x * x) - (x - (((((x * x) div 2) mod (x + 1)) div 2) * 2))) div 2) + 1) div 2) + 1) div 2) + 1)
A029011: 1 1 2 2 3 4 6 7 9 10 13 15 19 21 25 28
((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) mod (((x mod (((2 + 1) * 2) + 1)) * 2) + 1))
A140084: 0 1 1 2 1 2 2 0 1 2 2 3 2 3 0 1
(((((x div 2) + 1) div ((((((2 - (x mod 2)) * (2 + 1)) + 1) mod ((x div 2) + 1)) * 2) + 1)) div 2) + 1)
A135222: 1 1 1 2 1 1 1 3 1 1 2 1 4 1 1 1
(2 - (((x * 2) + 1) mod (0 - (((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) + 1))))
A136510: 2 2 3 2 3 3 3 2 3 3 5 3 4 3 3 2
(((((x + 1) div ((((x div (((2 - (((x div 2) * x) mod 2)) * 2) + 1)) + 1) mod 2) + 2)) + 1) div 2) + 1)
A344150: 1 1 2 2 2 3 3 2 3 4 3 4 3 3 4 5
(((((x mod ((((x mod ((x div ((x mod (2 + 1)) + 2)) + 2)) + 1) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1)
A270928: 1 1 2 1 1 1 2 1 2 2 1 2 2 1 1 3
((((((((x - ((x * x) div ((((2 + 2) * 2) * 2) + x))) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1)
A044919: 1 2 3 4 5 6 7 8 10 11 13 15 16 19 20 21
((((((((1 - (((x + 2) * x) mod (((2 + 1) * 2) + 1))) mod (x + 1)) + 2) div 2) div 2) + 1) div 2) + 1)
A167404: 1 1 1 1 2 1 2 1 2 1 1 3 1 2 1 3
(((((((((x - (((x * x) * 2) mod ((2 + 2) + 1))) div 2) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + 1)
A103372: 1 1 1 1 1 2 2 2 2 3 4 4 4 5 7 8
(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x - (x mod ((2 + 2) + 1))) div 2) + 1))
A129533: 0 0 0 0 1 0 0 3 3 0 0 6 12 6 0 0
((((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + (2 + 1)) * 2) + 1)
A192992: 7 11 15 17 19 23 27 29 31 35 39 41 43 47 49 51
(((((1 - (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))) mod ((x * 2) + 1)) div (2 + 1)) div 2) + 1)
A294453: 1 1 1 1 2 2 1 3 3 3 1 4 5 5 5 1
((((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) * (2 + 1)) div 2) + 1)
A296131: 1 1 1 2 1 2 1 4 2 2 1 4 1 2 2 5
(((((((((((x mod ((x mod (2 + 2)) + 2)) * x) div 2) + 1) div 2) div 2) + 1) div 2) * (2 + 1)) div 2) + 1)
A248597: 1 1 1 2 1 2 2 2 1 1 2 2 1 2 4 1
((((((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod (x + 1)) div 2) * (2 + 1)) div 2) + 1)
A156050-A136489: 1 1 1 1 4 1 1 5 5 1 1 8 10 8 1 1
((2 + 1) div ((((((((x * x) * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) + 2) div (2 + 1)) * 2) + 1))
A328747: 1 1 1 1 1 0 1 1 1 0 1 1 3 1 0 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - ((x div 2) div (2 + 1))) div 2)) + 1)
A026374: 1 1 1 1 3 1 1 4 4 1 1 6 11 6 1 1
((((((x + 1) * (2 + 1)) * (2 + 1)) * ((((2 + 2) * 2) * 2) + 1)) - 1) div (((2 + 1) * 2) + 1))
A135391: 21 43 65 87 109 131 152 174 196 218 240 262 284 305 327 349
((((x - ((x div 2) - ((2 + 2) * (x + 1)))) * (((2 + 2) * 2) + 1)) + 1) div (((2 + 1) * 2) + 1))
A190323: 5 11 16 23 28 34 40 46 51 58 63 69 74 81 86 92
(x - (((x * x) - ((((x - 2) * x) * (x - 1)) div (((2 + 2) * 2) + 1))) div (((2 + 1) * 2) + 1)))
A074732: 0 1 2 2 2 3 3 4 5 6 8 10 13 16 21 27
(((x div (2 + 2)) + 1) div ((1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (((2 + 1) * 2) + 1)))
A325458: 1 0 1 0 0 2 0 0 0 3 0 0 0 1 4 0
(2 div ((2 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x)) mod (((2 + 1) * 2) + 1)))
A250211-A093662: 1 1 1 1 0 1 1 1 2 1 1 0 0 0 1 1
((((((((((((x + 2) * x) div (2 + 2)) + x) * (x + 1)) div 2) div (2 + 1)) + x) div 2) + 1) div 2) + 1)
A028290: 1 1 2 3 4 6 8 10 14 17 22 27 33 40 48 57
(((compr(\x.(x - (((((x * x) * x) mod (((2 + 2) * (2 + 1)) - 1)) + 1) * (2 + 1))),x) + 1) * 2) + 1)
A082720: 3 5 7 9 11 13 15 17 19 21 23 29 31 33 37 41
((((((x - (((x mod (((x div (2 + 2)) + (x mod 2)) + 1)) div 2) - 1)) * 2) + 1) mod (x + 1)) * 2) - 1)
A128060: ~1 1 1 1 1 9 1 1 15 1 1 21 1 25 27 1
(((x + 1) div ((((((((2 + 2) * 2) * (x + 1)) div ((2 + 2) + 1)) * 2) + 1) mod (x + 1)) + 2)) + 1)
A104307: 1 1 2 2 2 3 2 3 3 3 3 3 4 3 3 4
((((((1 - ((x * 2) mod (((2 - (x mod 2)) * (2 + 1)) + 1))) mod (x + 1)) + 2) mod (x + 1)) div 2) + 1)
A265575: 1 1 2 1 2 1 3 1 1 1 5 1 1 1 2 1
(((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 2) mod (x + 1)) div 2) + 1)
A060764: 1 1 2 1 2 2 2 1 3 2 2 3 2 2 4 1
((((2 + 2) + 1) * 2) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div 2) + 1))
A301400-A300776: 0 0 0 0 1 0 0 2 2 0 0 4 3 4 0 0
(((((x - (((x div (2 + 2)) + x) div (0 - 2))) + 2) * ((2 + 2) + 1)) + x) + (((x + 1) * 2) + 1))
A101870: 13 26 34 47 60 68 81 89 102 115 123 136 149 157 170 178
(x - ((((x - (x div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1))) div 2) * 2) - 1))
A195637: 1 2 3 2 5 4 7 2 3 6 11 4 13 8 15 2
((((compr(\x.(1 - (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1))),x) * ((2 + 2) + 1)) div 2) div 2) + 1)
A020900: 2 3 4 6 8 9 11 12 14 16 18 21 22 23 24 27
((((((((((x * x) div (2 + 2)) + x) div (((2 + 1) * 2) + 1)) * (x + 2)) div 2) + 1) div 2) div 2) + 1)
A002723: 1 1 1 1 2 2 3 3 5 6 8 9 11 14 19 22
(((x mod ((((x mod ((((((x div 2) div (2 + 1)) mod 2) + 2) * 2) + 1)) + 1) mod (x + 1)) + 2)) div 2) + 1)
A227543: 1 1 1 1 1 2 1 1 1 3 3 3 2 1 1 1
(((x div ((x mod ((x div ((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) + 1)) + 2)) + 2)) * 2) + 1)
A263159-A229142: 1 1 1 1 1 1 1 3 1 1 1 7 13 1 1 1
(((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div ((2 + 2) + 1)) * 2) * 2) * 2) + 1)
A197401: 1 1 1 1 1 1 1 9 9 1 1 17 17 17 1 1
(((((((((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1)) + 2) * (x + 1)) div 2) div 2) div 2) + 1)
A145933: 1 1 1 2 2 3 3 4 5 6 7 8 10 11 14 17
((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) * (x + 1)) div 2) div 2) div 2) div 2) + 1)
A155161: 1 0 1 0 1 1 0 2 2 1 0 3 5 3 1 0
(1 - (((2 - ((x * x) div 2)) div (2 + 1)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)))
A164381: 1 1 1 1 0 1 1 1 ~1 1 1 0 0 ~1 1 1
(((((((((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1)) + 1) * (x + 2)) div 2) div 2) div 2) + 1)
A286219: 1 1 1 1 2 2 3 3 4 5 7 7 9 10 13 15
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x + 1) div ((x div (2 + 2)) + 2))) + 1)
A255741-A132892: 1 1 1 1 2 1 1 3 3 1 1 4 5 3 1 1
(((((((((((x * 2) + 1) div (((2 + 2) * 2) + 1)) * 2) * 2) div (2 + 1)) + x) + 2) * 2) * 2) + 1)
A227062: 9 13 17 21 29 33 37 41 45 53 57 61 65 77 81 85
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x div (2 - ((x div 2) mod 2)))) div 2) + 1)
A026769: 1 1 1 1 2 1 1 4 3 1 1 6 7 4 1 1
((((((((x - ((x mod (((2 + 2) + 1) * 2)) - 1)) + (x div (2 + 1))) + x) + x) + 2) div 2) div 2) + 1)
A175858: 1 2 2 3 4 4 5 5 6 7 10 10 11 11 12 13
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) mod ((2 + 2) + 1))
A177974-A095141: 1 1 1 1 2 1 1 3 3 1 1 4 0 4 1 1
((1 - (x mod ((((x - 1) mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) * 2) + 1))) mod ((2 + 2) + 1))
A060036: 1 1 1 1 0 1 1 4 4 1 1 4 3 4 1 1
(((x div ((((((x div ((2 + 2) * 2)) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2)) + 1) mod ((2 + 2) + 1))
A181631: 1 1 2 1 2 3 1 1 2 3 4 1 1 1 2 2
(((((((((2 + 2) * (2 + 1)) * (2 + 1)) * (2 + 1)) + x) + 1) * 2) * (2 + 1)) div ((2 + 2) + 1))
A043604: 130 132 133 134 135 136 138 139 140 141 142 144 145 146 147 148
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) mod ((2 + 2) + 1))
A341288-A325820-A323473: 0 0 0 0 1 0 0 2 2 0 0 3 1 3 0 0
(((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + x) + ((2 + 2) + 1))
A161537: 5 8 11 13 15 18 21 23 25 28 31 33 35 38 40 42
(((((((((((2 + 1) * 2) * (2 + 1)) + 1) * x) div (x + 2)) * 2) + 1) + x) + x) div ((2 + 2) + 1))
A202307: 0 3 4 5 6 7 8 8 9 9 10 11 11 11 12 12
(((((((((((x * 2) + 1) * 2) * (2 + 1)) + x) mod (((2 + 2) * 2) + 1)) + 1) + x) div 2) div 2) + 1)
A240450: 2 1 3 2 3 4 3 4 3 5 4 5 4 5 6 5
(((((((2 - ((2 - (((x mod 2) * x) - (x div 2))) div (x + 1))) * (x + 1)) div 2) + x) div 2) div 2) + 1)
A046700: 1 1 1 2 3 4 4 5 5 7 6 8 7 9 8 10
((((((x mod (((2 - (x mod ((2 + 2) * 2))) mod (x + 1)) + 1)) div (2 + 1)) + 1) + (x mod 2)) * 2) + 1)
A095366: 3 5 3 7 3 5 3 7 3 5 3 11 3 5 3 7
((1 - ((x mod 2) - (((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1)))) div (((x mod 2) * 2) + 1))
A029191: 1 0 1 0 2 0 2 0 3 0 4 1 5 1 6 2
((1 - (((x + 1) div ((2 + 2) + 1)) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1))) mod (2 + 1))
A035194: 1 1 1 1 0 1 0 1 1 0 2 1 2 0 0 1
(1 - (((x mod ((((x mod (((2 - x) mod ((x div (2 + 1)) + 2)) + 1)) + 1) * 2) + 1)) + 1) div (2 + 1)))
A345416: 1 1 0 1 1 0 1 ~1 1 0 1 1 1 0 0 1
((((((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) - 1) * x) div 2) div (2 + 1)) + 1) div (2 + 1))
A293414: 0 3 11 24 43 68 98 133 174 220 272 329 391 459 533 612
((x mod ((x div ((((x mod (((((x mod 2) - 2) * 2) * 2) - 1)) mod 2) + (x mod 2)) + 1)) + 1)) div (2 + 1))
A210722: 0 0 0 0 0 0 0 0 1 0 3 1 4 2 4 2
((((x mod (((x + 1) mod (((((x + 1) * 2) mod ((2 + 2) + 1)) * 2) - 1)) + 1)) * 2) + 1) mod (2 + 1))
A271606: 1 0 1 1 1 1 1 1 1 1 0 2 1 1 1 0
(((((((((x mod (((2 - x) div (2 + 2)) - 2)) div 2) mod 2) * 2) + 1) * (x + 1)) * 2) + 1) div (2 + 1))
A026216-A026196-A026177: 1 4 2 3 10 12 5 16 6 7 22 8 9 28 30 11
(((((x + 2) mod ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) + (x + 1))) div 2) + 1) div (2 + 1))
A123262: 0 0 1 0 0 1 0 0 0 2 0 0 0 1 3 0
(((((((((x * 2) * 2) * 2) * (((2 + 1) * 2) + 1)) + 1) div ((x + 2) + 1)) + x) + 1) div (2 + 1))
A344443: 0 5 8 10 12 13 14 15 16 17 18 18 19 19 20 20
(1 - (((((x - ((x mod 2) - ((x - (x div (2 + 2))) mod 2))) mod (2 + 1)) - 1) mod (x + 1)) mod (2 + 1)))
A070965: 1 1 0 1 0 1 1 0 0 1 1 0 1 0 ~1 0
(((((((((x + 1) * x) * (2 + 1)) * (2 + 1)) + 1) div ((x mod 2) + 1)) + 1) * (x + 1)) * (2 + 1))
A061495: 6 60 504 660 2730 2448 7980 6072 17550 12180 32736 21420 54834 34440 85140 51888
(((((((x + 1) div ((x div (((2 - x) mod (2 + 2)) + 2)) + 2)) + 1) * 2) + 1) * (x + 1)) mod (2 + 1))
A124210: 0 1 0 1 1 0 2 2 0 1 1 0 1 2 0 0
(((((((1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))) * x) + 1) * 2) + 1) * (x + 1)) div (2 + 1))
A100163: 1 26 119 324 685 1246 2051 3144 4569 6370 8591 11276 14469 18214 22555 27536
((((((((((x + 2) * 2) + x) * (x + 1)) div 2) * (2 + 1)) + 1) * (x + 2)) * (x + 1)) * (2 + 1))
A224455: 42 396 1656 4740 10890 21672 38976 65016 102330 153780 222552 312156 426426 569520 745920 960432
((((((2 + 1) * x) + 2) * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) - ((x + 1) div (2 + 1)))
A189399: 4 10 15 20 26 31 37 42 47 53 58 63 69 75 79 85
((((x div (((x mod (((x mod (((x mod 2) + 2) + 1)) + 1) * 2)) + 1) * (2 + 1))) + 1) * 2) div (2 + 1))
A064559: 0 0 0 0 1 0 2 0 0 1 1 0 3 2 1 0
(((((((((x mod ((x mod 2) + 2)) + 2) * x) + 1) * ((x div 2) + 1)) div (2 + 1)) + 1) * 2) + (2 + 1))
A263467: 5 7 11 13 23 47
(((compr(\x.(2 - (x mod (((((x * 2) mod ((2 + 2) + 1)) * 2) * 2) + 1))),(x + 1)) + 1) * 2) + (2 + 1))
A061116: 11 13 17 19 21 23 27 29 31 37 41 43 47 49 51 53
((((((x div ((((2 - (x div 2)) * ((2 + 1) * 2)) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1))
A308117: 0 0 1 0 1 1 1 1 1 0 1 1 2 1 3 2
(x - (((((((((((x div (2 + 2)) + 1) div 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) * 2) - (2 + 1)))
A268233: 1 2 3 4 3 4 5 6 7 8 9 8 7 6 7 8
((((((1 - ((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2)) * (x + 1)) div 2) + 1) div 2) mod (2 + 1))
A060154: 0 1 0 1 0 0 1 2 1 0 1 0 0 0 0 1
(((((((((x + 2) + 2) * ((2 + 2) + 1)) - 1) * 2) * (x + 1)) div ((2 + 2) + 1)) + 2) div (2 + 1))
A024388: 3 7 12 18 26 35 46 58 71 86 101 119 137 157 178 201
((((compr(\x.((x + 2) mod (((((x mod 2) * 2) * 2) * 2) + 1)),(x + 1)) + 1) * (2 + 1)) div 2) - (2 + 1))
A055047: 1 4 7 9 10 13 16 19 22 25 28 31 34 36 37 40
(((((x + 2) * 2) - ((1 - x) div (((x - (x mod ((2 + 2) * 2))) * 2) + (2 + 1)))) * 2) div (2 + 1))
A138204: 2 4 6 7 8 10 12 13 14 15 16 18 19 20 22 23
(((((2 + 1) * x) - ((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1))) + 2) * (2 + 1))
A198682: 6 12 18 30 36 51 54 69 75 84 90 105 108 123 129 141
((((((((x + 1) div ((x mod (2 + 2)) + 1)) mod 2) + (x div (2 + 1))) + x) * (2 + 1)) div 2) * (2 + 1))
A155504: 3 9 12 21 27 30 36 39 48 57 63 66 75 81 84 90
((((((((((x + 1) * x) div 2) + 2) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1))
A256859: 1 6 25 80 210 476 966 1800 3135 5170 8151 12376 18200 26040 36380 49776
((((((((((2 + 2) + 1) * x) + 2) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1))
A051799: 1 14 60 170 385 756 1344 2220 3465 5170 7436 10374 14105 18760 24480 31416
(((compr(\x.(1 - ((x + 1) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1))),x) + 1) * 2) mod (2 + 1))
A108964: 0 1 2 1 0 1 2 0 2 1 0 2 0 1 2 1
((((((((((2 + 2) + 1) * (x + 1)) + 1) * (x + 2)) * (x + 1)) div 2) * (x + 1)) div 2) div (2 + 1))
A117066: 1 11 48 140 325 651 1176 1968 3105 4675 6776 9516 13013 17395 22800 29376
((((x - (((((1 - x) * (x * 2)) * (((2 + 1) * 2) + 1)) - x) * 2)) * (x + 1)) div 2) div (2 + 1))
A256650: 0 1 31 118 290 575 1001 1596 2388 3405 4675 6226 8086 10283 12845 15800
(((((x - ((((1 - x) * x) div 2) * (((2 + 2) * 2) + 1))) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A264852: 0 1 22 100 290 665 1316 2352 3900 6105 9130 13156 18382 25025 33320 43520
((((((((x - (((1 - x) * 2) * (2 + 1))) * (2 + 1)) + x) - 1) * x) * (x + 1)) div 2) div (2 + 1))
A256716: 0 1 25 94 230 455 791 1260 1884 2685 3685 4906 6370 8099 10115 12440
((((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (x - ((x * x) div (0 - 2)))) div 2) * (2 + 1))
A213486: 0 3 12 27 48 78 120 174 240 321 420 537 672 828 1008 1212
(((((((((((x * x) mod (2 + 1)) + x) div (2 + 2)) + x) * (2 + 1)) div 2) + 1) * 2) * 2) - (2 + 1))
A231754: 1 5 13 17 29 37 41 53 61 65 73 85 89 97 101 109
((((((((((((x div 2) * x) * 2) div ((2 + 2) + 1)) + x) div 2) + 1) div 2) + 1) * 2) * 2) div (2 + 1))
A342498: 1 1 2 2 4 4 5 6 8 9 12 12 14 16 18 20
((((((((((((2 + 2) * 2) * 2) + x) - 1) * x) * (x + 1)) div 2) div (2 + 1)) div 2) + 2) div (2 + 1))
A320272: 0 1 3 6 11 17 25 34 46 60 77 96 117 142 169 200
(((((((((x + 2) * (x + 2)) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div 2) div (2 + 1))
A006414: 1 9 40 125 315 686 1344 2430 4125 6655 10296 15379 22295 31500 43520 58956
(((((((((x * 2) + 1) * (2 + 1)) * (((2 + 2) * 2) + 1)) + 1) * (x + 1)) - 2) * 2) * (2 + 1))
A304619: 156 972 2436 4548 7308 10716 14772 19476 24828 30828 37476 44772 52716 61308 70548 80436
((((((x mod 2) - ((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2)) mod (x + 1)) + 2) * 2) div (2 + 1))
A080215: 1 2 1 2 1 1 1 2 1 1 1 1 1 1 10 2
(((((((x - ((((x * 2) - 1) * x) div ((x + 2) + 1))) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1))
A161205: 1 2 2 3 4 4 4 4 5 6 6 6 6 6 6 7
(((((((x - ((1 - x) div (((x + 1) div ((2 + 2) + 1)) + 1))) + 2) + 2) + x) + 2) * 2) div (2 + 1))
A186381: 3 5 7 9 10 12 14 15 17 18 19 21 22 24 25 26
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) * 2) div (2 + 1)))
A128545: 1 1 1 1 2 1 1 3 3 1 1 5 8 5 1 1
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * (2 + 1)))
A131060: 1 1 1 1 4 1 1 7 7 1 1 10 16 10 1 1
((x - ((((x - (((x - 1) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1))) div 2) - x) * 2)) + (2 + 1))
A045412: 3 6 7 10 13 14 15 18 21 22 25 28 29 30 31 34
(((((((((((x * x) div (2 + 1)) + x) div (2 + 1)) * 2) + x) div (2 + 1)) * 2) + x) + 2) div (2 + 1))
A249724: 0 1 2 3 4 5 6 7 8 11 12 14 16 17 20 22
(((((((((x + 2) div (((((2 + 2) * 2) * 2) - x) * 2)) div 2) + 1) + 2) + 2) + x) + 2) + (2 + 1))
A322322: 10 11 12 13 14 15 16 17 18 19 20 21 22 24 26 29
((((((((((x + 2) * x) * (x + 1)) div ((2 + 2) + 1)) + 1) * 2) div (2 + 1)) + 1) + x) mod (2 + 1))
A254011-A025878: 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 2
(((x + 1) * 2) - ((((x div (((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2)) + 2) + x) div (2 + 1)))
A275202: 2 3 5 6 8 10 11 12 14 16 18 20 21 22 23 24
(compr(\x.((2 - (x mod ((((x * 2) mod (((2 + 1) * 2) + 1)) * (2 + 1)) + 1))) - (x mod 2)),x) * (2 + 1))
A276381: 3 6 9 15 18 27 30 33 36 39 45 48 51 54 57 60
(x - ((x div 2) - ((((x + 1) div (((2 + 1) * 2) + 1)) + ((2 + 2) * (x + 1))) + (x div (2 + 1)))))
A184912: 4 9 13 19 23 28 34 39 43 49 53 58 63 69 73 79
(((((((x - (((x div (2 + 2)) + x) div (0 - 2))) + 2) * ((2 + 2) + 1)) + x) + x) + x) - (2 + 1))
A134863: 7 20 28 41 54 62 75 83 96 109 117 130 143 151 164 172
((((((((1 - (((x mod (2 + 1)) - x) div (2 + 2))) * ((2 + 2) + 1)) div 2) div 2) + 1) + x) * 2) - 1)
A165887: 3 5 7 11 13 15 19 21 23 29 31 33 35 37 39 43
(((((((((((((2 mod (x + 1)) + x) div (2 + 1)) * x) div 2) div 2) + 1) div 2) div 2) + 1) + x) * 2) - 1)
A256862: 1 3 5 7 9 11 15 17 19 21 25 29 31 35 37 39
(((x + 2) + 1) div (((x + 2) + 2) - (((((x * x) div ((((x div 2) + 2) + 2) + 1)) + x) div 2) + 1)))
A274144: 1 1 1 1 1 2 2 2 2 4 4 4 5 8 8 9
(((((((((((((x + 2) * x) div (2 + 2)) + x) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 1)
A055104: 1 1 2 3 4 6 8 10 13 16 20 24 29 34 41 47
(((((((((((((x div 2) * x) div (2 + 2)) + x) * (x - 1)) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 1)
A029012: 1 1 2 2 3 4 5 7 8 10 12 14 17 19 23 26
((((((((((((((x * x) div (2 + 1)) + x) div 2) + 2) * x) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 1)
A330500: 1 1 2 3 4 5 6 7 9 11 13 16 19 22 26 30
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((1 - x) mod (2 + 2)) + x)) div 2) + 1)
A108359-A106597-A100936-A086620: 1 1 1 1 3 1 1 5 5 1 1 7 14 7 1 1
((((((((((((x * x) + 1) * x) div 2) * (x - 1)) div 2) div ((2 + 2) + 1)) + x) div 2) + x) div 2) + 1)
A115992: 1 1 2 4 6 11 19 32 52
(((((((((((((x div 2) * x) div (2 + 2)) + x) * (x - 1)) div 2) div 2) div 2) + x) div 2) + x) div 2) + 1)
A085756-A029006-A008755: 1 1 2 3 4 5 7 8 10 12 14 16 20 22 26 30
((((((((((((2 + 2) * 2) * 2) + 1) * x) * (x + 1)) div 2) + 1) + 1) * 2) + 1) * ((x * 2) + 1))
A006221: 5 117 535 1463 3105 5665 9347 14355 20893 29165 39375 51727 66425 83673 103675 126635
(((((((((((x + 2) * 2) + x) * (x + 2)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) - 1)
A181025: 2 6 9 15 22 31 39
((x + 1) div (((x div (((x div 2) div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)) + 2)) + (x mod 2)) + 1))
A078709: 1 1 1 1 2 1 3 2 3 2 5 2 6 3 3 3
(((x div (((x + 1) div (((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1) * 2)) + 2)) + (x mod 2)) + 1)
A125747: 1 2 2 3 2 3 2 4 3 4 2 5 2 4 4 5
(((((((((((x div 2) + 1) div 2) * (x div 2)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) div ((x mod 2) + 1))
A029214: 1 0 1 0 1 0 2 1 3 1 3 1 4 2 6 3
(((x + 1) * 2) - (compr(\x.(1 - (x mod ((x mod (((x * x) mod (((x + 2) + 2) + 1)) + 1)) + 1))),x) + 1))
A244230: 0 1 2 3 4 4 5 6 7 8 8 8 8 8 8 9
(compr(\x.(((((x + 1) div ((((x mod ((2 + 2) * 2)) + 2) mod (x + 1)) + 2)) + 1) mod (2 + 1)) - 1),x) + 1)
A184939: 1 2 6 7 8 9 10 18 19 20 21 22 23 24 25 26
(compr(\x.((((((x - (((((x - 1) div 2) mod 2) * 2) - 1)) * 2) div (2 + 1)) + 2) mod (2 + 1)) - 1),x) + 1)
A062895: 1 2 3 4 5 6 7 8 9 11 13 15 17 22 24 26
(((((2 + 2) + 1) mod (((((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) * x) div (2 + 1)) + 1)) + x) + 1)
A058189: 1 2 3 5 5 6 7 10 11 10 11 13 13 14 15 21
(compr(\x.(((((x mod (((2 + 2) * (2 + 1)) - 1)) mod (((2 + 2) * 2) + 1)) + 1) mod (x + 1)) - 1),x) + 1)
A033075: 1 2 3 4 5 6 7 8 9 10 12 21 23 32 34 43
(compr(\x.(1 - ((x + 1) mod ((x div (1 - (x div ((((2 - x) div 2) div ((2 + 2) + 1)) - 2)))) + 1))),x) + 1)
A241561-A241008-A071561: 3 5 7 10 11 13 14 17 19 21 22 23 26 27 29 31
(compr(\x.((x + 1) mod ((((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) * 2) * 2) + 1)),x) + 1)
A103848: 1 3 5 7 9 10 11 13 15 17 19 23 25 27 29 30
((((((((((((x div (2 + 2)) + 1) div 2) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div (2 + 1)) + x) + 1)
A119931: 1 2 3 4 6 7 8 10 11 12 13 15 18 20 21 22
((((((((((x div ((2 + 2) * 2)) + x) + 1) div 2) + ((x + 1) * 2)) * 2) * 2) div (2 + 1)) + x) + 1)
A189758: 3 8 12 17 21 26 29 34 39 43 48 52 57 60 65 69
((((((x - ((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2)) + 2) * 2) div (2 + 1)) + x) + 1)
A159615: 2 4 5 7 9 10 11 13 15 17 19 20 21 22 23 25
((((((((((((x * x) div 2) * 2) div ((2 + 2) + 1)) + x) div 2) + x) + 2) * 2) div (2 + 1)) + x) + 1)
A070978: 2 4 6 8 11 13 16 19 22 25 29 32 35 39 43 46
(((((x mod (((x * 2) div ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 1) mod (x + 1)) + x) + 1)
A336465: 1 2 3 6 5 6 7 12 12 10 11 18 13 14 15 24
((x * x) mod (((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + x) + 1))
A277027: 0 1 1 4 1 4 1 9 4 4 1 9 1 4 4 16
((((((x - (((x div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) - 1)) * 2) div (2 + 1)) * 2) + x) + 1)
A080578: 1 4 7 8 11 14 15 16 19 22 23 26 29 30 31 32
(((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (((2 + 2) * 2) + 1)) + 1) div 2) * 2) + x) + 1)
A068860: 1 2 3 4 5 6 7 8 9 10 21 30 41 50 61 70
((((((((((((x + 2) * (x + 1)) div 2) div (2 + 1)) + 1) * (x - 1)) div 2) + 1) div 2) div 2) + x) + 1)
A193622: 1 2 3 5 7 10
A062684: 1 2 3 5 7 10 13 18 23 29 37 46 55 68 81 96
(((((x - ((x - ((((2 + 1) * x) div (((2 + 1) * 2) + 1)) * (2 + 1))) div 2)) div 2) * 2) - x) + 1)
A130911: 1 0 ~1 0 1 2 1 2 1 0 1 2 3 2 3 2
((((((((((((x - 2) * x) * (x - 1)) div ((2 + 2) + 1)) + x) div 2) + 1) div 2) + x) div 2) + x) + 1)
A220850: 1 2 4 6 8 10 14 17 22 28 35 43 53 65 78 93
compr(\x.(((((((x + 2) * x) + 1) * ((2 + 2) + 1)) - 1) mod ((x div ((2 + 2) + 1)) + 1)) - 1),(x + 1))
A247397: 1 2 3 4 5 6 7 8 9 10 12 13
A091401: 1 2 3 4 5 6 7 8 9 10 12 13 16 18 25
((((((1 - (x - ((((x * 2) + 1) * 2) * (2 + 1)))) * x) div 2) * ((2 + 2) + 1)) + 1) * (x + 1))
A100169: 1 92 438 1204 2555 4656 7672 11768 17109 23860 32186 42252 54223 68264 84540 103216
(((((((((x - ((1 - x) div (2 + 1))) * 2) + 1) * (x - 1)) div 2) + 1) * (2 + 1)) + 1) div (x + 1))
A306221: 1 2 4 7 10 15 18 21 27
((((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) * (2 + 1)) + 1) div (x + 1))
A280151: 1 0 0 1 0 1 1 1 1 2 2 2 3 3 4 4
compr(\x.((((x mod ((((x * 2) mod (((2 + 1) * 2) + 1)) + 2) * (2 + 1))) + 1) mod (x + 1)) - 1),(x + 1))
A064390: 1 2 3 4 5 6 8 9 10 12 13 16 17 18 20 24
compr(\x.(1 - ((x + 1) mod (((((x div (2 + 2)) + 1) div ((x mod ((2 + 2) + 1)) + 1)) * 2) + 1))),(x + 1))
A037359: 5 6 10 12 13 15 16 18 19 20 21 22 24 25 26 27
((((((((x - ((x + 1) mod (((2 + 2) * (0 - 2)) - 1))) * 2) + 1) * 2) + 1) * 2) + 1) + (x + 1))
A133899: 72 73 74 75 76 77 78 79 80 153 154 155 156 157 158 159
compr(\x.(1 - ((x + 1) mod (((((x mod (((x mod ((2 + 1) * 2)) * 2) + 1)) mod 2) + 1) * 2) + 1))),(x + 1))
A026432: 1 3 4 5 6 7 8 9 10 12 13 15 16 18 21 22
((((((((((x div 2) div (2 + 1)) mod 2) + 1) + (x div (2 + 1))) + x) + x) * 2) div (2 + 1)) mod (x + 1))
A071940: 0 0 0 1 1 2 3 4 4 5 5 6 6 6 7 8
(((((((x mod ((0 - (x mod (((2 + 1) * 2) + 1))) - 2)) mod 2) * 2) + 1) - (x mod 2)) + 1) mod (x + 1))
A234022: 0 1 2 1 2 1 2 3 4 3 2 3 2 3 2 1
((((((x + 1) div ((((x * 2) - 1) mod (((2 + 2) * 2) + 1)) + 1)) mod 2) + (x mod 2)) + 1) mod (x + 1))
A265893: 0 1 1 2 1 2 1 3 2 3 2 3 1 3 2 3
((compr(\x.(1 - (x mod ((((((x * 2) + 1) mod ((x div 2) + 2)) div 2) + (x mod 2)) + 1))),x) + 1) - (x + 1))
A199332: 1 2 3 4 4 4 5 6 7 8 9 9 9 9 9 10
(((x mod 2) - ((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2))) + (x + 1))
A089279: 1 3 2 5 4 6 5 9 8 10 9 12 11 13 12 17
((((((((x mod (((x mod (2 + 1)) + 1) * 2)) mod (2 + 1)) * 2) + 1) mod (x + 1)) + 2) * 2) div (x + 1))
A266143: 4 3 2 2 1 2 0 0 1 1 1 1 0 0 0 0
(((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) + (x div ((2 + 2) * 2))) + (x + 1))
A140661: 1 2 3 5 6 7 8 11 13 14 15 17 18 19 20 24
((x + 1) div (((x div 2) mod ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 2))
A105612: 0 1 1 1 2 3 3 2 3 5 5 3 6 7 5 3
((((x + 1) div (((2 - (((x div ((2 + 2) + 1)) + x) mod ((2 + 2) + 1))) mod (x + 1)) + 1)) + 1) div 2)
A181802: 1 1 2 1 1 2 4 1 1 2 6 1 1 2 4 1
((((x + 1) mod ((((x mod ((((((x - 2) * 2) mod (x + 2)) mod 2) * 2) + 1)) + 1) * 2) + 1)) + 1) div 2)
A157897: 1 1 0 1 1 0 1 2 0 1 1 3 1 2 0 1
(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + ((x div ((x div ((2 + 2) + 1)) + 1)) mod 2))
A094718: 0 1 0 1 1 0 1 2 1 0 1 2 2 1 0 1
(((((((((((2 + 2) + 1) * x) + 1) * (x + 1)) - (x div 2)) * (x + 1)) div 2) div (2 + 1)) + 1) div 2)
A212981: 0 2 8 21 43 77 125 190 274 380 510 667 853 1071 1323 1612
(((((((((x - (((x mod 2) + x) * (2 + 2))) div 2) + x) div 2) + x) * 2) + (x mod (2 + 1))) + 1) div 2)
A071046: 0 0 2 1 4 3 4 5 7 5 8 8 9 9 11 10
(x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2))
A337345-A294904-A055212: 0 0 0 1 0 1 0 2 1 1 0 3 0 1 1 3
(((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 2) mod (x + 1)) + 1) div 2)
A086598: 0 1 1 1 1 2 1 1 2 2 1 3 1 2 3 1
((((((x + 1) div ((((x + 2) * x) mod ((x div ((x div (2 + 2)) + 2)) + 1)) + 1)) + 1) div 2) + 1) div 2)
A116482: 1 1 1 1 2 1 2 2 1 3 3 1 4 4 2 1
((x - ((((x div (((((((2 + 2) * 2) * 2) * 2) - 1) mod ((x * 2) + 1)) + 1)) + 1) div 2) - 1)) div 2)
A125186: 0 1 1 2 2 3 3 3 4 5 5 5 6 6 6 4
((((((x + 1) div (((((x mod ((2 + 2) + 1)) mod (2 + 1)) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) div 2)
A146290: 1 1 1 1 2 1 2 1 1 3 1 3 2 1 4 1
((((((x + 1) mod ((((x mod ((((x div 2) div (2 + 1)) * 2) + 1)) + 1) * 2) + 1)) + 1) div 2) + 1) div 2)
A282011: 1 1 0 1 1 0 1 1 1 1 1 2 2 2 1 1
((((((x + 1) div ((((x + 1) mod ((((x div (2 + 2)) + 1) div 2) + 1)) * 2) + 1)) + 1) div 2) + 1) div 2)
A232440: 1 1 1 1 1 2 1 2 1 3 1 3 1 1 4 2
(((2 + 1) mod ((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + 1)) * 2)
A193511: 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 6
((((((((x + 1) div ((x mod (((x + 1) mod (2 + 1)) + 2)) + 1)) + 2) mod (x + 1)) + 1) div 2) + 1) div 2)
A277824: 0 1 1 1 1 2 1 1 1 1 2 2 1 3 1 1
((((((((((((x div 2) * x) * (x + 1)) div ((2 + 2) + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A033100: 0 0 1 1 1 1 2 3 4 5 7 9 12 14 19 21
(x div ((x div ((((((x div ((((x * x) div (2 + 1)) mod (x + 1)) + 2)) + 1) mod 2) + 1) * 2) + 1)) + 2))
A230037: 0 0 1 1 2 1 2 1 2 1 2 2 2 3 3 2
((x + 1) div (((((x div (((2 - (x div ((2 + 2) + 1))) mod ((2 + 2) + 1)) + 2)) + 1) div 2) + 1) * 2))
A326647-A326028: 0 1 1 2 1 1 1 2 2 1 1 1 1 1 1 4
(((((((((((x + 1) div (2 - (x mod 2))) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + 1) div 2)
A161282-A161257-A161053: 0 0 0 1 1 1 1 2 1 2 1 3 2 4 3 6
((((x mod ((((x - 2) mod (((((x + 1) mod ((2 + 2) + 1)) mod 2) + 1) * 2)) * 2) + 1)) div 2) + 1) * 2)
A225953: 2 2 2 2 2 6 2 2 2 2 2 4 4 2 2 2
(((((((((((((x div 2) + 1) * (x div 2)) div 2) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2)
A309712: 0 0 0 0 1 1 2 2 3 3 5 6 9 10 13 14
((((((x + 1) mod (((((2 - (((x div 2) * x) mod 2)) * 2) mod (x + 1)) + 2) * 2)) + 1) div 2) + 1) div 2)
A071441: 1 1 1 1 2 2 2 0 3 3 3 1 1 1 1 0
(((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2) mod ((x div ((2 + 2) + 1)) + 2)) + 1) div 2)
A124790: 1 0 1 0 0 1 0 1 1 1 0 1 2 1 1 0
((2 + 2) div (((((((((2 + 2) * 2) * 2) mod (x + 1)) + 2) * 2) * 2) mod (((2 + 1) * 2) + 1)) + 2))
A035162: 1 1 0 1 0 0 1 1 1 0 2 0 0 1 0 1
(((((((((x + 1) div ((2 + 2) + 1)) * ((x div (2 + 2)) + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) div 2)
A035433-A029210: 1 0 1 0 1 1 1 1 1 2 2 2 3 2 4 3
(((x mod (((((((x mod (1 - ((2 + 2) * 2))) + 2) * 2) * 2) * (x + 2)) mod (x + 1)) + 2)) + 1) div 2)
A071086: 0 1 0 1 1 1 0 1 0 5 0 1 0 1 2 1
(((((((x - (x div ((1 - ((2 + 2) * 2)) * 2))) * (2 + 1)) * ((2 + 2) + 1)) div 2) div 2) + 1) + 2)
A190706: 3 10 14 18 21 25 29 33 36 40 44 48 51 55 59 66
((((((((((x + 2) * x) + 1) * ((2 + 2) + 1)) + 2) * (((x + 2) * x) + 1)) div 2) div 2) + 1) div 2)
A093198: 1 11 53 164 397 819 1513 2576 4121 6275 9181 12996 17893 24059 31697 41024
(1 - ((((((1 - ((1 - ((x mod 2) * 2)) + (((x + 1) div 2) div 2))) * (x + 1)) div 2) div 2) + 1) div 2))
A213423: 1 0 1 0 2 0 2 1 3 1 4 2 6 3 7 5
(2 - ((((((((x - 1) * x) - (((((x * x) - 1) * x) div 2) div (2 + 1))) div 2) div 2) div 2) + 1) * 2))
A049322-A014557: 0 0 0 0 0 0 2 4 8 12 20 28 40 52 70 88
(((((((((((x mod ((x mod (2 + 2)) + 2)) + 2) * 2) * 2) + 1) mod (x + 1)) + 2) div 2) div 2) + 1) div 2)
A098490: 0 0 1 0 1 1 1 0 0 1 1 0 1 2 1 1
((x - ((((((1 - (x mod (((2 - (x div 2)) mod (2 + 2)) + 1))) mod (x + 1)) + 2) div 2) div 2) - 1)) div 2)
A285734: 0 1 1 2 2 3 2 3 3 5 5 6 6 7 5 6
((((1 - ((x + 1) mod ((((x * 2) * 2) mod (2 - ((x div 2) div (0 - 2)))) + 1))) mod (2 + 2)) + 1) * 2)
A046587: 4 4 4 4 2 4 4 4 4 4 4 8 2 8 4 4
((((((x mod ((((x mod 2) * (2 + 1)) + 2) * 2)) + 1) * (x + 1)) * (2 + 1)) mod ((2 + 2) + 1)) div 2)
A035224: 1 1 1 1 0 1 1 1 1 0 2 1 2 1 0 1
((((x * x) * x) mod ((((2 + 2) * (2 + 1)) - 1) * ((x mod (2 + 1)) + 1))) mod (((2 + 2) + 1) * 2))
A096340: 0 1 8 5 0 6 7
((((((((((1 - x) mod (2 + 1)) + x) mod ((2 + 2) + 1)) * 2) + 1) + x) + x) div ((2 + 2) + 1)) * 2)
A287394: 0 2 4 6 6 6 6 6 6 6 8 10 12 12 12 12
((((x div (((x div 2) div (((((x div 2) + 1) div 2) div 2) + 1)) + 2)) + 1) * ((x div (2 + 2)) + 1)) div 2)
A278959: 0 0 0 1 2 2 3 3 4 4 4 4 6 6 8 8
((((((((x + 1) * x) div 2) - (((1 - x) * (x * 2)) * (2 + 1))) * (2 + 1)) + 1) * (2 + 1)) - 2)
A050408: 1 10 136 379 739 1216 1810 2521 3349 4294 5356 6535 7831 9244 10774 12421
(x - ((x - (((((2 + 1) * x) + 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) * (2 + 1))) div 2))
A292655: 3 8 13 17 22 27 32 35 40 45 49 54 59 64 67 72
(((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1) * (2 + 1)) div 2)
A296120-A050345: 1 1 1 1 1 3 1 3 1 3 1 6 1 3 3 4
((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) + (x mod 2)) div (2 + 1)) * (2 + 1)) div 2)
A335682: 0 0 0 0 1 0 0 3 3 0 0 6 6 6 0 0
((((((((x * x) div (((((2 + 2) * 2) * 2) + x) + 1)) + x) * 2) + x) div (2 + 1)) * (2 + 1)) div 2)
A275672: 0 1 3 4 6 7 9
A089038: 0 1 3 4 6 7 9 12 13 16 18 19 21 24 27 28
(((((((((x div ((2 + 2) + 1)) + 1) * x) div (((2 + 2) * 2) + 1)) + x) * 2) + 1) * (2 + 1)) + 2)
A144920-A144918-A007528: 5 11 17 23 29 41 47 53 59 71 83 89 101 107 113 131
(1 - (2 mod (1 - ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2))))
A340910: 1 1 1 1 1 1 1 2 2 1 1 4 6 4 1 1
(((x div ((x div (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1)) + 2)) * (2 + 1)) div 2)
A244963: 0 0 0 1 0 0 0 3 1 0 0 4 0 0 0 7
(((((((x * x) mod (((((x + 1) div 2) div 2) + 2) + 2)) mod (2 + 1)) * (2 + 1)) div 2) * (2 + 1)) div 2)
A278987: 0 1 0 1 1 0 1 1 1 0 1 4 1 1 0 1
(((((x - ((((((1 - (x div 2)) div (2 + 1)) * x) div 2) div 2) div 2)) * (2 + 1)) div 2) * (2 + 1)) + 2)
A026228: 2 5 11 14 23 29 32 38 41 50 59 65 68 77 83 86
((((((((x - ((2 + 2) * 2)) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2)
A167543: ~2 ~7 ~15 ~25 ~35 ~42 ~42 ~30 0 55 143 273 455 700 1020 1428
(2 - (((((x - (((x - ((1 - x) * (2 + 2))) * x) * (2 + 2))) * (x + 1)) div 2) div (2 + 1)) + 2))
A172117: 0 1 23 86 210 415 721 1148 1716 2445 3355 4466 5798 7371 9205 11320
(((((((x - ((((1 - x) * 2) * (2 + 1)) - 1)) * x) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) div 2)
A264850: 0 1 18 80 230 525 1036 1848 3060 4785 7150 10296 14378 19565 26040 34000
(x - ((((x div ((2 + 2) + 1)) * 2) * 2) - (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))))
A096289: 0 2 3 5 5 3 4 6 5 7 4 6 6 8 9 7
((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2)
A005122: 1 3 4 6 9 10 13 16 19 21 24 25 28 30 33 34
(((((x div (((((x + 1) * x) div (2 + 2)) mod ((x * 2) + 1)) + 2)) + 1) * 2) + (x mod (2 + 1))) div 2)
A291771: 1 1 2 1 1 2 1 1 4 2 2 2 1 1 2 1
((((((x + 1) div ((x div ((((x div 2) mod (2 + 1)) mod 2) + 2)) + 2)) + 1) * 2) - (x mod (2 + 1))) div 2)
A333516: 1 1 1 2 1 1 2 1 2 3 1 1 2 1 2 3
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + (x mod 2)) + ((x mod (2 + 1)) div 2))
A169611: 0 1 1 2 0 2 0 3 2 1 0 3 0 1 1 4
((x * 2) div ((((((x * x) * x) * (x * x)) * (x * x)) mod (((((2 + 2) + 1) * x) * 2) + 1)) + 2))
A096693: 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 3
(((((((((((2 + 2) * (x + 1)) + x) * ((x * 2) - 1)) * x) div 2) div (2 + 1)) + x) div 2) + 1) div 2)
A212247: 0 1 4 13 29 56 95 150 222 315 430 571 739 938 1169 1436
(((((x div ((x div ((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1)) + 2)) + 1) - (x mod 2)) + 1) div 2)
A034178: 1 0 1 1 1 0 1 1 2 0 1 1 1 0 2 2
((((((((((x div 2) + 1) div ((x mod 2) + 1)) * ((x div 2) + 1)) div 2) div 2) + 1) - (x mod 2)) + 1) div 2)
A029178: 1 0 1 0 2 0 3 1 4 1 5 2 7 3 9 4
((((((((x * 2) + 1) * 2) - (((1 - x) * 2) div (((2 + 2) * 2) + 1))) * (2 + 1)) + x) + 1) div 2)
A035488: 3 10 18 24 31 37 45 52 58 65 71 79 86 92 99 107
((((((x mod (((((x - 1) div 2) mod (2 + 1)) * (2 + 1)) - 1)) + 1) mod (2 + 1)) - 1) mod (x + 1)) * 2)
A216921: 0 0 0 2 0 0 2 0 0 2 0 2 24 0 0 2
((((((x - ((x mod (1 - (((x mod (2 + 1)) + 2) * 2))) - 1)) * 2) * (2 + 1)) + 1) mod (x + 1)) div 2)
A268142: 0 0 0 0 1 0 0 1 0 0 0 3 0 6 0 0
((x - (((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1))) div 2)
A072106: 0 0 0 1 1 1 2 3 2 3 4 3 5 5 4 7
((((((((((x + 1) * 2) div (((2 + 1) * 2) + 1)) * 2) * 2) div (2 + 1)) * 2) + 1) mod (x + 1)) + 2)
A280740: 2 3 3 5 5 5 7 7 7 7 11 11 11 13 13 13
((((((((((x * 2) + 1) div (((2 + 2) * 2) + 1)) * 2) * 2) div (2 + 1)) * 2) + 1) mod (x + 1)) + 2)
A137847: 2 3 3 3 5 5 5 5 5 7 7 7 7 11 11 11
((((((((x + 1) div ((x div ((2 + 2) + 1)) + 1)) + (x div (2 + 1))) div 2) * 2) + 1) mod (x + 1)) div 2)
A322006: 0 0 0 0 1 2 2 3 3 4 3 3 4 4 4 4
(((((((1 - (x mod (((x mod 2) + 2) + 1))) mod (x + 1)) div ((2 + 2) + 1)) + 1) * 2) mod (x + 1)) div 2)
A338117: 0 0 1 1 1 1 1 2 2 1 1 3 1 1 3 3
((((((((x + 1) mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 1)) + 1) div 2) + 1) * 2) mod (x + 1)) div 2)
A280726: 0 0 1 1 1 1 2 1 2 1 4 1 2 2 1 1
((((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((((x + 1) * 2) + 1) * 2)) * (x + 1)) div 2)
A219621: 3 11 27 56 105 183 301 472 711 1035 1463 2016 2717 3591 4665 5968
(((((x + 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) - 1) mod ((x + 1) * 2))
A130140: 1 3 5 7 3 11 13
A099984: 1 3 5 7 3 11 13 15 17 19 21 23 5 3 29 31
((((((((x mod 2) + 1) * (x + 1)) mod ((x div ((2 + 2) + 1)) + 1)) + 1) * ((2 + 2) + 1)) - 2) div 2)
A193454-A193254: 1 1 1 1 1 1 4 1 4 1 6 1 4 4 1 1
(((((x * 2) * (2 + 1)) - ((((x + 1) mod (2 + 2)) + ((x * 2) * 2)) div ((2 + 2) + 1))) + 2) + 2)
A184515: 4 9 14 20 25 30 35 41 46 51 56 62 67 72 77 82
(((((((x div 2) div ((2 + 2) + 1)) + ((x + 1) * 2)) * 2) + 1) * x) div ((((2 + 2) + 1) * 2) * 2))
A194224: 0 0 1 2 4 6 8 11 14 18 23 28 33 38 44 50
((((((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (2 + 1)) div 2) * 2)
A230831: 0 0 0 0 2 0 0 2 2 0 0 6 8 6 0 0
((((((x div (2 + 1)) + 2) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (2 + 1)) div 2) * 2)
A216800: 0 0 0 0 2 0 0 2 2 0 0 6 0 6 0 0
((x + 1) div ((x div (((x - ((x - ((x div ((2 + 2) + 1)) mod 2)) div (2 + 1))) mod (2 + 1)) + 2)) + 2))
A164995: 0 1 1 2 1 2 2 2 1 2 2 3 2 1 2 3
((x + 1) div (((((x mod ((((((2 + 2) * 2) * 2) mod (x + 1)) * 2) + 1)) + 2) div (2 + 1)) + 2) * 2))
A139353: 0 0 0 1 0 0 1 2 0 1 0 2 1 2 2 4
(((((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 2) * (2 + 1)) div 2) div 2)
A015753: 1 1 1 2 2 3 3 4 5 6 8 9 12 14 17 21
(((((((x - ((((x - 2) div ((x div 2) + 2)) + 1) * 2)) + 1) * (x + 1)) div 2) div (2 + 1)) + 2) div 2)
A327720-A327716: 1 1 1 1 2 3 3 3 4 6 7 9 10 12 14 17
(((((((((((x + 2) * 2) + x) * ((x + 2) + 2)) div 2) div (2 + 1)) + x) + 2) * (2 + 1)) div 2) div 2)
A027920: 3 6 10 15 20 26 33 40 49 58 68 78 90 102 115 129
(((((((((x * x) * x) div (((((2 + 2) * 2) * 2) * 2) + x)) + x) + 1) + x) div (2 + 1)) + 2) div 2)
A104648: 1 1 1 2 2 3 4 4 5 7 8 9 11 13 15 18
(((((((x - (((1 - x) div ((x div (2 + 2)) + 2)) - 2)) mod (2 + 1)) * 2) + 1) mod (x + 1)) + 2) div 2)
A105265: 1 1 2 1 2 1 2 3 1 2 1 2 3 1 2 3
((x mod (((((((x * 2) * 2) mod (((2 + 2) * (2 + 1)) + 1)) + 1) * (2 + 1)) mod (x + 1)) + 2)) div 2)
A276004: 0 0 0 1 0 0 0 0 1 2 1 1 0 1 0 1
((((x - (((x - (((x - (x div ((2 + 2) + 1))) mod (2 + 1)) div 2)) div 2) * 2)) * (x + 1)) div 2) + 2)
A284278: 2 3 5 4 2 5 9 6 2 7 13 8 2 9 2 10
(((((((((x + 2) * (x + 1)) div 2) * (((2 + 2) * 2) + 1)) - 1) * (x + 2)) * (x + 1)) div 2) div 2)
A024212: 4 39 159 445 1005 1974 3514 5814 9090 13585 19569 27339 37219 49560 64740 83164
((((((((x * x) * (x - 2)) div ((((2 + 2) * 2) * 2) + 1)) + 2) + (x mod 2)) * (x - 1)) div 2) + 2)
A126250: 1 2 3 5 6 16 27
(((x + 1) * 2) - ((x - (((((x div ((2 + 2) + 1)) + x) * (((2 + 2) * 2) + 1)) div 2) div 2)) div 2))
A189757: 2 5 7 10 13 16 19 22 24 27 31 33 36 38 41 45
(((((((((x + 1) mod (((2 + 2) * (2 + 1)) + 1)) div 2) + 1) * (2 + 1)) mod (x + 1)) + 2) div 2) div 2)
A159700: 0 0 0 0 1 0 1 2 2 2 2 2 1 1 2 2
((((((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * (((x + 2) * x) + 1)) - 1) div 2) div 2) div 2) div 2)
A090398: 2 9 20 36 57 83 113 147 187 231 279 332 390 453 520 591
(((((((((((2 + 2) * (x + 1)) - 1) * 2) * (2 + 1)) + x) * ((2 + 2) + 1)) + 2) * 2) * 2) * 2)
A067866: 736 1736 2736 3736 4736 5736 6736 7736 8736 9736 10736 11736 12736 13736 14736 15736
(((((((((((x div (2 + 2)) * 2) + x) + 2) * ((2 + 2) + 1)) + 2) div (2 + 1)) + 2) + 2) + 2) + 2)
A226099: 12 13 15 17 22 23 25 27 32 33 35 37 42 43 45 47
((((((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) + 1) * 2) + 1) + ((x + 1) div 2)) div 2) + 2) div 2)
A051415: 1 3 4 5 6 7 8 9 18 20 21 22 23 24 25 26
(x - (((((x div (((2 + 2) * 2) + 1)) - (x mod (x - ((x - 1) mod ((2 + 2) * 2))))) * 2) * 2) * 2))
A255594-A030108: 0 1 2 3 4 5 6 7 8 1 10 19 28 37 46 55
((x - ((((x div (((2 + 2) * 2) + 1)) - (x mod (x - ((x - 1) mod ((2 + 2) * 2))))) * 2) * 2)) * 2)
A319747-A055958: 0 2 4 6 8 10 12 14 16 10 20 30 40 50 60 70
(((2 - (x mod (2 - (((x * x) div 2) - (2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))))))) div 2) div 2)
A147609: 0 0 0 0 1 1 3 4 6 7 10 12 15 18 20 24
(((((x * x) + 2) - (((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2)) div 2) div 2)
A213673: 0 0 0 1 0 2 4 7 0 4 8 13 16 22 28 35
(1 - ((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2) * 2))
A131061: 1 1 1 1 5 1 1 9 9 1 1 13 21 13 1 1
((((((((((x + 2) * x) div ((2 + 2) * 2)) + x) + 2) + 2) + 2) + 2) * (x + 1)) div ((2 + 2) * 2))
A231408: 1 2 4 6 9
A090631-A064985: 1 2 4 6 9 12 17 22 29 36 45 54 66 78 93 108
(((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) - (x mod 2)) + ((2 + 2) * 2))
A131864: 8 9 12 13 24 25 28 29 72 73 76 77 88 89 92 93
(((((x + 1) mod (((((x mod (2 + 1)) + 1) * 2) mod (x + 1)) + 1)) div 2) + 1) mod ((x mod (2 + 2)) + 2))
A331510: 1 1 1 1 1 1 1 2 0 1 1 3 1 0 1 1
(((((((((((((x * x) div (2 + 1)) + 2) * (x + 2)) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 2) div 2)
A008675: 1 1 1 2 2 3 4 5 6 8 10 12 15 17 21 25
(x mod ((((((((x mod ((x mod (((2 + 2) + 1) * 2)) + 2)) + 1) * (2 + 1)) div 2) + x) div 2) + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A247149: 0 1 2 3 4 5 6 7 8 9 1 0 2 0 1 2
((((((((((x div 2) div (((2 + 1) * 2) + 1)) + x) mod (2 + 2)) + 2) + (x div 2)) + x) div 2) + 2) * 2)
A079772: 6 8 10 12 12 14 16 18 18 20 22 24 24 26 30 28
((((((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((2 + 2) + 1) * x)) + 1) * (x + 2)) div 2) + 2)
A220147: 3 11 26 52 95 163 266 416 627 915 1298 1796 2431 3227 4210 5408
(((x mod ((((((x * 2) * (2 + 1)) * (2 + 1)) + 1) mod (((x + 2) + 2) + 1)) + 1)) + 1) div (2 + 2))
A326819: 0 0 0 1 0 0 1 2 0 2 0 1 3 0 0 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) + 1) mod (2 + 2))
A285117: 1 1 1 1 0 1 1 3 3 1 1 2 0 2 1 1
((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) mod (2 + 2))
A034931: 1 1 1 1 2 1 1 3 3 1 1 0 2 0 1 1
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) mod (2 + 2)))
A173120: 1 1 1 1 ~2 1 1 ~1 ~1 1 1 0 ~2 0 1 1
(((((((x * x) div ((((2 + 2) * 2) * 2) - (x div (2 + 1)))) mod (2 + 1)) + 1) + x) div 2) + (2 + 2))
A178400: 4 5 5 6 7 7 8 8 9 9 10 10 10 12 12 13
(((((((((x mod ((2 + 2) * 2)) + 2) + (x mod (2 + 1))) + 2) * 2) div (2 + 1)) + 1) + x) div (2 + 2))
A078342: 0 1 2 2 2 3 3 4 3 3 3 4 4 5 5 5
(((((x div (((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2)) + 2) + x) div (2 + 1)) + (x div (2 + 2)))
A074753: 0 1 1 2 3 3 4 5 6 6 6 6 8 9 10 11
((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) * (x div (2 + 2)))
A061064: 0 0 0 0 0 1 0 3 0 2 0 4 0 3 0 12
((((((((x div (((2 + 2) * (2 + 1)) + 1)) + x) * 2) mod (((2 + 1) * 2) + 1)) + 1) + x) div 2) div 2)
A342385: 0 1 1 2 1 2 3 2 2 3 4 3 4 3 4 5
((((((((x + 1) div (((2 + 1) * 2) + 1)) + 1) * (x + 1)) div (((2 + 2) * 2) + 1)) + x) + 2) * 2)
A061344: 4 6 8 10 12 14 18 20 24 26 28 30 32 38 42 44
((((((((x * 2) + 1) * 2) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) * (2 + 1)) + x) div 2) + 2)
A189406: 5 11 18 23 29 36 42 47 54 60 67 72 78 85 90 96
(((((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + x) div 2) + 1) + x) + 2) * 2)
A177085: 6 8 12 16 18 20 24 28 30 32 36 40 42 44 48 54
(((((((x * x) * x) * (x * x)) * (x * x)) mod ((((2 + 2) * 2) * ((x * 2) + 1)) + x)) + 2) div 2)
A191648: 1 1 2 3 23 3
(((((((((((1 - (x div (2 + 2))) * 2) + 1) div (2 + 1)) * (2 + 1)) div 2) + x) div 2) + x) + 2) + 2)
A242286: 4 6 7 9 10 11 13 14 15 16 18 19 21 22 24 25
((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) - (x mod 2)) + 1) mod ((x mod 2) + 2))
A114643: 1 0 1 1 1 0 1 2 0 0 1 1 1 0 1 0
(((((((((((x div (2 + 1)) + x) * (x - 1)) div 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + x) * 2)
A234941: 2 4 6 10 14 18 22 28 34 42 48 56 66 74 82 94
(((((((x + 1) div ((1 - (x div (((0 - 2) - 2) * (2 + 1)))) + 1)) + 1) mod (x + 1)) + 1) + x) + 2)
A020884: 3 5 7 8 9 11 12 13 15 16 17 19 20 20 21 23
(compr(\x.(1 - ((x + 1) mod ((x div ((((x - 2) div (2 + 1)) mod ((x mod (2 + 2)) + 1)) + 2)) + 1))),x) + 2)
A063806: 4 6 8 9 10 12 14 15 18 20 21 22 24 25 26 27
((((((((((((1 - x) mod (((x div 2) + 2) + 2)) div 2) + x) div 2) div 2) + x) + 1) div 2) + 1) + x) + 2)
A225554: 3 5 7 8 10 11 13 14 16 18 19 21 23 25 26 28
((x - (((((((1 mod (((2 + 2) * 2) - (x div 2))) + x) * 2) - x) - 1) mod ((2 + 2) + 1)) - x)) + 2)
A037325: 1 2 3 4 10 11 12 13 14 20 21 22 23 24 27 28
((((((((((x + 2) mod (((2 + 1) * 2) + 1)) + 2) * 2) + x) div (2 + 1)) * 2) div (2 + 1)) + x) div 2)
A325953: 0 1 2 3 4 3 4 5 6 6 7 8 7 8 9 10
(((((((((((x div ((2 + 2) * 2)) + x) + 1) div 2) + (x * 2)) + 1) * 2) * 2) div (2 + 1)) + x) + 2)
A140103: 3 8 12 17 20 25 29 34 39 43 48 51 56 60 65 69
((((((((((x div ((2 + 2) * (2 + 1))) + x) div 2) + (x * 2)) + 1) * 2) * 2) div (2 + 1)) + x) + 2)
A107790: 3 7 12 15 20 24 29 33 38 41 46 50 55 60 64 69
(((((((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) div (x + 2)) + 1) + x) div 2) + 1) + x) div 2)
A121901: 0 5 8 10 11 13 14 15 16 17 18 19 20 21 21 22
(((((x mod (((x + 1) div (((((x + 2) * x) div 2) mod (2 + 1)) + 1)) + 2)) + 1) mod (x + 1)) + x) div 2)
A304183: 0 0 1 1 2 3 3 4 5 6 5 8 6 9 10 10
((((x - ((x * x) div ((x - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) + (2 + 1)))) + 2) + x) + 2)
A091984: 4 6 8 9 10 11 12 12 13 14 15 15 16 17 17 18
((((((((2 - ((1 - (x * 2)) div ((2 + 2) + 1))) * 2) + x) * ((2 + 2) + 1)) div 2) div 2) + x) div 2)
A050099: 2 4 6 7 9 10 13 14 15 17 18 21 22 23 25 26
((((((((1 - (x mod (((2 - (x div 2)) mod (2 + 2)) + 1))) mod (x + 1)) + 2) div 2) div 2) + 2) + x) div 2)
A285735: 1 1 2 2 3 3 5 5 6 5 6 6 7 7 10 10
((((((x - (((((x + 2) * (x + 1)) div 2) + x) div (((2 + 1) * 2) + 1))) div 2) + x) div 2) + x) + 2)
A232532: 2 3 5 7 8 10 11 12 14 15 17 18 19 20 21 23
((((((((((((x * x) div 2) * (x * x)) div ((2 + 2) + 1)) + x) div 2) + x) div 2) + x) div 2) + x) + 2)
A086676: 2 3 5 8 12 18 29 44 68
((((((x - (((((x + 2) * x) * 2) + 1) div (((2 + 1) * 2) + 1))) div 2) + 1) * 2) - 1) mod (x + 2))
A194738: 1 1 1 4 3 2 1 7 5 3 1 10 7 4 15 11
((((((x - 1) div ((x mod ((((x + 1) div 2) div (2 + 1)) + 1)) + 1)) mod 2) + (x mod 2)) + 1) + (x * 2))
A024807: 2 4 6 8 10 12 14 17 18 20 22 25 26 28 29 32
(((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2))
A101113: 1 2 2 4 2 4 2 6 4 4 2 8 2 4 4 10
((((x mod (x - ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1))) div 2) + 1) + (x mod 2))
A081373: 1 2 1 2 1 3 1 2 2 3 1 4 1 3 1 2
(((x div (((x + 1) div (((((x div ((2 + 2) + 1)) * (2 + 1)) div 2) * 2) + 1)) + 2)) + 1) - (x mod 2))
A344246: 1 0 1 0 1 1 2 1 2 1 4 3 5 3 4 5
(((((((1 - (x mod (((2 - (x div 2)) mod (2 + 2)) + 1))) mod (x + 1)) + 2) div 2) div 2) + 1) - (x mod 2))
A285736: 1 0 1 0 1 0 3 2 3 0 1 0 1 0 5 4
(x - (((x - (((((((x - 1) * x) div 2) + ((x * 2) * 2)) * (x - 1)) div (2 + 1)) - x)) * x) div 2))
A326247: 0 0 1 9 32 80 165 301 504 792 1185 1705 2376 3224 4277 5565
(((((((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + x) + 2) * ((2 + 2) + 1)) + x) + x) + x) - 2)
A047925: 8 16 29 37 50 63 71 84 92 105 118 126 139 152 160 173
((((1 div (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))) * ((((x div 2) + 1) div 2) + 1)) + 1) + x)
A132119: 1 3 3 6 5 6 10 8 9 10 15 12 13 14 15 21
compr(\x.(1 - ((x div 2) mod ((((x - (x mod (2 + 1))) * (x div (2 + 1))) mod (((2 + 2) * 2) + 1)) + 1))),x)
A133896: 3 4 5 6 7 12 13 14 15 21 22 23 26 30 31 34
((((((((((((((x + 1) * x) div 2) + 1) div 2) div 2) + x) div 2) + x) + 1) * 2) div (2 + 1)) + 1) - x)
A325358: 1 1 1 2 2 2 3 4 4 5 6 6 7 9 10 11
(((((x - ((((((((x div 2) + 1) div 2) * x) div (2 + 1)) div 2) + 1) div 2)) * 2) div (2 + 1)) + 1) + x)
A289243: 1 2 4 6 7 9 10 12 13 14 15 17 19 20 21 22
((((((((((x * 2) div (((2 + 1) * 2) + 1)) * 2) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1) + x)
A129989: 1 2 3 4 6 7 8 10 11 12 13 17 18 19 21 22
(((((((((((x - 1) div (2 + 1)) * (x + 1)) div 2) + 2) div (2 + 1)) + 2) * 2) div (2 + 1)) - 1) + x)
A158746: 0 1 2 3 5 6 7 9 10 12 14 15 17 20 21 22
((((((((((((x div (2 + 1)) + 1) div 2) * (x div 2)) div 2) + x) div 2) + x) * 2) div (2 + 1)) + 1) - x)
A058769: 1 0 1 0 1 1 1 1 1 2 2 2 3 2 3 4
compr(\x.(1 - (x mod (((((x - (((x - 1) div (2 + 1)) * (x div 2))) mod (2 + 1)) + 1) mod (x + 1)) + 1))),x)
A286607: 3 5 7 10 11 13 14 15 17 19 21 22 23 25 28 29
((((((x - (((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) div 2) - 1)) div 2) + 1) mod (x + 1)) + 1) + x)
A233745: 1 2 5 7 8 10 11 13 14 16 17 18 20 21 22 23
((((((((x div (((x + 2) mod ((2 + 2) * 2)) + 1)) mod 2) + 1) - (x mod 2)) + 1) mod (x + 1)) + 1) + x)
A338363: 1 3 5 5 7 7 9 10 11 11 13 14 16 16 17 18
((((x - (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) - 1)) div 2) + 1) + x)
A225647: 1 3 4 6 7
A274829: 1 3 4 6 7 8 10 12 13 14 15 18 19 20 22 24
compr(\x.((x + 2) mod (((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div (2 + 1)) * 2) + 1)),x)
A324689: 0 1 2 3 4 5 6 8 9 10 14 15 18 19 21 22
((((((((((2 + 1) * x) * (2 + 1)) + (x div (2 + 1))) div ((x + 2) + 2)) + x) + 1) div 2) + 1) + x)
A335155: 1 3 6 8 9 11 13 14 16 18 19 21 23 24 26 27
compr(\x.((x div (((((((x div (2 + 2)) mod 2) + 1) * ((2 + 2) + 1)) * (2 + 1)) mod (x + 1)) + 2)) - 1),x)
A336205: 0 1 2 3 6 7 8 9 10 15 16 17 18 19 20 24
((((((((((2 + 2) * 2) + x) + 2) * x) + (x mod (((2 + 2) + 1) * 2))) div (x + 1)) div 2) + 1) + x)
A184108: 1 5 7 9 11 12 14 15 17 19 20 21 23 24 26 27
((((((((((((x * 2) + 1) * (x + 2)) - 1) * (x + 2)) div 2) div (2 + 1)) + 1) * 2) * 2) + 1) + x)
A209116: 5 22 55 120 221 362 559 816 1137 1538 2023 2596 3273 4058 4955 5980
((((x - ((x * 2) div ((x mod (((x mod ((x div ((2 + 2) * 2)) + 1)) * 2) + 1)) + 2))) * 2) + 1) * x)
A103303: 0 1 2 3 4 5 6 7 8 9
A326302: 0 1 2 3 4 5 6 7 8 9 10 143 12 143 14 15
(((((((((((x - ((x div 2) mod 2)) div 2) * 2) * ((x + 1) div 2)) div 2) div 2) + 1) div 2) div 2) + 1) + x)
A334298-A304686: 1 2 3 4 5 7 8 9 11 12 13 16 17 19 20 23
((((((((((x * x) mod ((((x div (2 + 2)) * 2) + x) + 1)) div 2) + x) div 2) + 1) div 2) * 2) + 1) + x)
A080727: 1 2 5 6 7 8 11 14 17 18 19 20 21 22 23 24
((x - ((((x mod (((2 + 2) + 1) * 2)) * 2) div (((2 + 2) * 2) + 1)) * (((2 + 2) * 2) + 1))) + x)
A169909: 0 2 4 6 8 1 3 5 7 0 20 22 24 26 28 21
compr(\x.(1 - (((((((x * x) * 2) mod ((((2 + 2) * 2) * 2) + 1)) * 2) + 1) * (x + 1)) mod (2 + 1))),x)
A010412: 0 1 4 9 13 15 16 18 19 21 25 30 33 34 36 42
((((((((((x + 2) + 2) + 2) * x) * (x + 1)) div 2) * (((x + 2) + 2) + 1)) div 2) div (2 + 1)) - x)
A166796: 0 6 26 69 146 270 456 721 1084 1566 2190 2981 3966 5174 6636 8385
((((((((((((((2 + 2) + 1) * x) - 1) * 2) - 1) * 2) * 2) * 2) + x) + 1) * 2) * (2 + 1)) * x)
A304837: 0 348 1668 3960 7224 11460 16668 22848 30000 38124 47220 57288 68328 80340 93324 107280
((((((((((((2 div (x + 1)) + 2) * x) * 2) div (2 + 1)) + x) + 2) + 2) + x) * 2) div (2 + 1)) + x)
A190344: 2 6 8 12 15 18 22 25 28 31 34 37 41 44 47 51
(((((x - (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) * 2)) * 2) mod (2 + 1)) + 1) + ((2 + 1) * x))
A287435-A026601: 1 6 8 12 14 16 20 22 27 30 32 34 38 40 45 46
(((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + (((((x + 2) + 2) + 1) * x) * (2 + 1))) + x)
A264444: 0 20 48 85 132 190 260 343 440 552 680 825 988 1170 1372 1595
(((((((((x div 2) div (2 + 1)) + 1) * ((x div ((2 + 2) + 1)) + 1)) div 2) * 2) + x) div (2 + 1)) + x)
A087063: 0 1 2 4 5 7 9 10 12 13 15 16 18 20 21 24
(((((((((1 - ((x mod ((2 + 2) + 1)) * 2)) mod ((x + 2) + 1)) div 2) div 2) + 1) + x) div 2) + 1) + x)
A225647: 1 3 4 6 7
A018825: 1 3 4 6 7 9 11 12 14 15 16 19 21 22 23 24
((compr(\x.(1 - (x mod ((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) + (x mod 2)) + 1))),x) - 1) - x)
A103303: 0 1 2 3 4 5 6 7 8 9
A340835: 0 1 2 3 4 5 6 7 8 9 11 11 12 12 12 12
((compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) - (x - (x mod (((2 + 2) + 1) * 2)))) * x)
A061205: 0 1 4 9 16 25 36 49 64 81 10 121 252 403 574 765
compr(\x.(x - ((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) * ((x div ((2 + 2) + 1)) + 2))),x)
A023798: 0 1 2 3 5 6 7 11 15 19 21
((((((((x div ((2 + 2) * 2)) + 1) * (x div (((2 + 1) * 2) + 1))) * 2) + 1) mod (x + 1)) + 2) + x)
A167493: 2 4 5 6 7 8 9 12 15 16 17 18 19 20 25 26
((((((((((x - (((x div 2) mod 2) - 1)) * (2 + 1)) div 2) + 2) * 2) * (2 + 1)) - 1) div 2) div 2) + x)
A229004: 4 8 9 11 17 21 22 24 30 34 35 37 43 47 48 50
((((compr(\x.(1 - (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1))),x) * ((2 + 2) + 1)) div 2) div 2) - x)
A070046: 1 1 1 2 3 3 4 4 5 6 7 9 9 9 9 11
compr(\x.((((((x - ((((x * 2) mod ((x div (2 + 2)) + 2)) + 1) - (x * 2))) * x) div 2) + 1) div 2) mod 2),x)
A254130: 0 3 5 6 7 8 9 13 16
compr(\x.(2 - ((x + 2) mod ((((1 - (((1 - x) div (((2 + 1) * 2) + 1)) * 2)) mod (x + 1)) + 2) * 2))),x)
A253200: 0 1 3 4 5 6 7 9 10 11 14 15 18 19 20 21
(x div (((1 - (((x mod (((((((x div 2) * x) mod 2) + x) * 2) div (2 + 1)) + 1)) mod 2) * 2)) * 2) + x))
A085975: 0 0 0 0 2 1 1 1 0 0 1 0 1 0 0 0
((((((((x - (((((x div (2 + 2)) mod 2) - x) * 2) - 1)) * (2 + 1)) div 2) + 2) div 2) + 2) div 2) + x)
A231407: 1 4 6
A190485: 1 4 6 8 9 11 13 16 18 21 23 25 26 28 30 33
(((((((((x * x) - 1) * x) div 2) div (2 + 1)) + (((((x + 1) * x) + 1) * x) div 2)) div 2) * 2) + x)
A137930: 0 1 10 25 56 101 170 261 384 537 730 961 1240 1565 1946 2381
(((((((x div ((((x * 2) + 1) mod (((2 + 2) * 2) + 1)) + 1)) + 1) + x) mod 2) + (x * 2)) + 2) + x)
A287421: 3 5 9 11 15 18 20 24 27 29 33 36 38 42 45 48
((((((((x * 2) * (2 + 1)) + 2) * 2) * ((x * 2) + 1)) * (((2 + 1) * 2) + 1)) + 1) + (x * x))
A156640: 29 338 985 1970 3293 4954 6953 9290 11965 14978 18329 22018 26045 30410 35113 40154
(loop(\(x,i).((if (if x <= 0 then 2 else loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1))) <= 0 then x else 1) + x),x,1) + 1)
A081869: 2 3 4 5 9 10 11 21 22 23 45 46 91 92 183 365
((loop(\(x,i).(loop(\(x,i).((if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else (i * 2))),x,x)) + x),1,i) + x),x,1) div 2) + 1)
A004737: 1 1 2 1 1 2 3 2 1 1 2 3 4 3 2 1
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,x))),x,x) + 1),x,1)
A215523: 1 2 3 6 9 14 15 18 21 26 29 30 33 36 39 44
loop(\(x,i).(if x <= 0 then 2 else (if x <= 0 then 1 else ((if (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) <= 0 then x else 1) * x))),x,(x + 2))
A281384: 2 9 4 5 6 49 8 9 10 11 12 13 14 225 16 17
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),(x div 2),1)) div 2),1,i) + x),x,0)
A220788: 0 1 4 16
A107767: 0 1 4 16 52 169 520 1600 4840 14641 44044 132496 397852 1194649 3585040 10758400
(if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (2 + 1)) + (if x <= 0 then 1 else 2)) else 1)
A010234: 13 1 5 1 26 1 5 1 26 1 5 1 26 1 5 1
loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).((x * 2) * 2),(if x <= 0 then 1 else (loop(\(x,i).(x * 2),x,2) - (x mod 2))),1))
A099058: 28 8128 8589869056 2305843008139952128 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else ((compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,x)),x) * 2) + 1))
A118332: 2 3 5 11 23
A246857-A005384: 2 3 5 11 23 29 41 53 83 89 113 131 173 179 191 233
((compr(\x.loop(\(x,i).(if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),2,x) + 2)),2,x),x) * 2) + 1)
A043766-A043757-A043749-A043742-A043736-A043731-A043727-A043570: 5 9 11 13 17 19 23 25 27 29 33 35 39 47 49 51
((loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((if (2 - x) <= 0 then x else 0) + 1)))),x,(x + 1)) + x) + 1)
A135560: 2 3 1 4 1 2 1 5 1 2 1 3 1 2 1 6
((x + 1) div ((if x <= 0 then 0 else (loop(\(x,i).(1 - (x * 2)),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) + x)) + 1))
A121467: 1 0 1 0 1 0 0 1 0 2 0 1 0 1 0 0
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)) + ((x * 2) * 2)),x,1)
A167859: 1 8 68 672 7588 93856 1229200 16695424 232418596 3293578784 47309094672 686870685312 10059942413584 148412250014336 2202990595617344 32873407393419776
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)) + (x * 2)),x,1)
A167867: 1 10 236 8472 359944 16722896 822334816 42068907200 2215884717400 119364801362800 6545334930678816 364137834051739200 4611686018427387903 4611686018427387903 4611686018427387903
(2 - loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 1)))
A117123: 1 1 3 2 4 5 7 5 7 8 10 10 12 13 15 12
loop(\(x,i).((if x <= 0 then 1 else (loop(\(x,i).((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 1) * x),(x + 1),(x + 1)) - 1)) + x),x,1)
A018573: 1 2 4 163 326 652
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) - x),x,1)
A099110: 1 8 47 238 1113 4956 21379 90266 375485 1545544 6313671 25650534 103792417 418745972 1685723723 6775136242
loop(\(x,i).(x * x),1,loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),i,x),x,1))
A239350: 1 4 144 129600 5715360000 30497732496000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,(if (x mod 2) <= 0 then 1 else loop(\(x,i).((x + 1) * 2),x,0))) - 1)) + 2)
A103830-A062802: 2 11 29 2999
((loop(\(x,i).(x * 2),(x * x),(if x <= 0 then 1 else (if (x - 2) <= 0 then x else loop(\(x,i).((x * x) * x),x,(2 + 1))))) + 1) div 2)
A330716: 1 1 16 1952152956156672
(loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod ((i * 2) + 1)) <= 0 then x else 0))),x,x) + x),1,((x * 2) + 1)) div 2)
A341585: 1 0 1 1 0 2 3 0 4 4 0 5 1 0 7 7
((loop(\(x,i).(i * x),x,((if (if x <= 0 then 1 else (loop(\(x,i).((i - 1) * i),(x - 2),1) * x)) <= 0 then x else 0) + 1)) div 2) * 2)
A052686: 0 0 2 24 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else i)),x,x) + x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A057060: 1 2 2 1 1 3 2 4 2 1 3 1 5 7 2 8
(0 - loop(\(x,i).loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)))
A243111: 1 0 1 3 4 2 4 2 5 7 5 8 4 2 8 2
(1 - loop(\(x,i).loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)))
A057061: 2 1 2 4 5 3 5 3 6 8 6 9 5 3 9 3
(if x <= 0 then 1 else loop(\(x,i).loop(\(x,i).(x * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)),1,(x + 2)))
A240775: 1 121 169 289 361 529
loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)))),x,(x + 1)) + x),1,(x + 2))
A087088: 1 2 3 1 4 2 1 5 3 1 2 6 1 4 2 1
((loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).((if x <= 0 then 2 else 0) - 1),(x mod 2),(x div 2)))),x,(x + 1)) + x) + (x * 2))
A120512: 1 4 8 9 14 15 17 18 24 25 27 28 31 32 34 35
((x + 1) - loop(\(x,i).(if x <= 0 then 2 else loop(\(x,i).((if (x mod (i + 1)) <= 0 then i else 0) + x),(x div 2),(x + 1))),1,(x div 2)))
A308048: ~1 0 1 2 2 3 2 3 4 5 4 5 6 7 4 5
((loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else (if (2 - x) <= 0 then ((x div 2) + 2) else 1)))),x,x) + x) + 2)
A327565: 2 3 4 3 5 4 4 5 6 4 5 6 5 5 6 5
((loop(\(x,i).(x * 2),x,loop(\(x,i).loop(\(x,i).(x * 2),x,(if x <= 0 then 2 else ((x * 2) - 1))),1,((2 + 1) * x))) div 2) * x)
A268151: 0 40 2816 104448 3014656 76021760 1761607680 38520487936 807453851648 16389595201536 324355930193920 6289206510878720 119908340078739456 2254051613498933248 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 2)) + x)
A080801: 2 1 3 2 2 1 4 3 3 2 3 2 2 1 5 4
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x))
A037126: 2 2 3 2 3 5 2 3 5 7 2 3 5 7 11 2
(if (x - 1) <= 0 then 1 else (if (x mod ((2 + 2) + 1)) <= 0 then 1 else loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)))
A337126: 1 1 0 1 0 1 1 0 0 1 1 2 1 0 0 1
loop(\(x,i).(loop(\(x,i).(x * x),(2 + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) + x),(x + 1),0)
A236214: 256 6817 397442 6162243 220521124 1036251845 8012009286 24995572327 103306557608 603552970569 1456444008010 4968923461931 12953848691052 24642048968653 48453335630414 110713026041775
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2)) + x),(x + 1),0)
A133548: 27 152 495 1826 4023 8936 15795 27962 52351 82142 132795 201716 281223 385046 533923 739302
(loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - loop(\(x,i).((if (x - 1) <= 0 then x else i) + 1),(x - 1),0))
A289615: 1 1 1 3 10 37 126 422 1422 4853 16786 58775 208000 742887 2674426 9694830
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) * loop(\(x,i).(((2 + 1) * x) + 1),x,0))
A134939: 0 2 64 1274 21760 348722 5422144 83000234 1259729920 19027002722 286576949824 4309163074394 64731832372480 971825991711122 14585021567101504 218843984372767754
loop(\(x,i).(x * x),1,loop(\(x,i).(loop(\(x,i).(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1,i) + x),x,0))
A220788: 0 1 4 16
A163095: 0 1 4 16 25 49 81 144 169 225 289 400 484 625 784 1024
loop(\(x,i).loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x),1,((((x + 1) * 2) * ((2 + 2) + 1)) - 1))
A268488: 1 19 29 13 49 59 23 79 89 11 109 119 43 139 149 53
(if x <= 0 then 1 else ((((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) mod (((2 + 1) * 2) + 1)) + 1) mod (2 + 1)) - 1))
A142475: 1 0 0 ~1 0 0 1 ~1 0 0 0 1 ~1 0 0 ~1
(loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),1,((x + 1) * (2 + 1))) + 1)
A087229: 4 2 3 2 6 2 3 2 4 2 3 2 5 2 3 2
((loop(\(x,i).((2 + 1) * x),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + x),1) div (2 + 1)) + 1)
A061393: 1 2 4 2 10 2 4 2 28 2 4 2 10 2 4 2
((loop(\(x,i).(((x * 2) + 1) * x),1,loop(\(x,i).((x * 2) + 1),x,0)) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)) + 1)
A051375: 0 0 9 66 345 1590 6909 29106 120465 493230 2005509 8116746 32744985 131801670 529647309 2125861986
(loop(\(x,i).(loop(\(x,i).(i * x),x,1) div (x + 1)),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1)) + 1)
A007619: 1 1 5 103 329891 36846277 1230752346353 336967037143579 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1)
A135171: 5 19 211 2059 175099 1586131 129009091 1161737179 94134790219 68629840493971 617671248800299 450283768452043891 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 1))
A075369: 16 36 144 324 900 1764 3600 5184 10404 11664 19044 22500 32400 36864 39204 51984
loop(\(x,i).((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) * x) + x),(x + 1),1)
A082100: 5 50 1300 65000 7930000 1348100000 390949000000 141523538000000 75007475140000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + 1) * (loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + 1))
A241031: 6 56 1050 25112 655746 17766056 489541650 13599182072 379283617986 10599157616456 296486304875250 8297561014164632 232274972859656226 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((2 + 1) * x) + 1),x,(loop(\(x,i).(x * 2),x,1) + 1)) div loop(\(x,i).(((2 + 2) + 1) * x),x,1)) - 1)
A096791: 1 1 0 1 1 1 2 2 3 4 5 6 7 9 11 14
(((loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) * (2 + 1)) + loop(\(x,i).((2 + 1) * x),x,1)) + 1)
A283456: 5 13 40 136 490 1828 6970 26956 105250 413668 1633450 6471676 25703410 102269908 407460730 1625010796
((loop(\(x,i).(x * 2),x,((((loop(\(x,i).((2 + 1) * x),x,2) + 2) + loop(\(x,i).(x * 2),x,1)) + 2) + 1)) div 2) + 1)
A281698: 5 14 55 269 1465 8369 48865 288449 1713025 10210049 60993025 364899329 2185181185 13094268929 78498422785 470721937409
(if (x mod ((2 + 2) + 1)) <= 0 then (if (x mod 2) <= 0 then ((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) else 2) else 1)
A040630: 25 1 1 1 1 2 1 1 1 1 50 1 1 1 1 2
(((if x <= 0 then 0 else (compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),((x + 2) + 2)) + 1)) * 2) + 1)
A322275-A008366: 1 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73
((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (x * 2)),x,(2 + 1)) * 2) - 1)
A126642: 5 25 125 601 2765 12265 52925 223801 932525 3844105 15722525 63936601 258902285 1045109545 4209004925 16921851001
(((x - ((loop(\(x,i).(((x + 2) + 1) * x),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) div 2) - 1)) * 2) - 1)
A185877: 1 3 1 7 5 1 13 11 7 1 21 19 15 9 1 31
((loop(\(x,i).loop(\(x,i).(x * x),1,(((x + 1) * x) + 1)),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * 2) - 1)
A171687: 17 24641 204060401 2004006004001 20004000600040001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) + 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040731: 27 1 1 4 1 1 54 1 1 4 1 1 54 1 1 4
(if (x mod 2) <= 0 then (((if ((x div 2) mod 2) <= 0 then (((((2 + 1) * 2) + 1) * 2) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040860: 29 1 4 1 58 1 4 1 58 1 4 1 58 1 4 1
(if (x mod 2) <= 0 then ((((if (x mod (2 + 2)) <= 0 then ((2 + 1) * 2) else 1) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1)
A040864: 29 1 8 1 58 1 8 1 58 1 8 1 58 1 8 1
(if (x mod (2 + 1)) <= 0 then (((((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040484: 22 1 1 14 1 1 44 1 1 14 1 1 44 1 1 14
(if (x mod (2 + 1)) <= 0 then ((((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040962: 31 1 1 8 1 1 62 1 1 8 1 1 62 1 1 8
(if (x mod (2 + 1)) <= 0 then (((((if (x mod 2) <= 0 then ((2 + 2) * 2) else 1) + 2) * (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) else 1)
A040961: 31 1 1 20 1 1 62 1 1 20 1 1 62 1 1 20
(((compr(\x.(if (x mod (2 + 2)) <= 0 then 1 else loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),x) + 1) * 2) + 1)
A216777-A216747-A216739-A216735-A045442: 5 7 13 17 23 29 31 37 41 47 53 61 71 73 79 89
((((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).((2 + 1) * x),x,1)) + 2) + 2) + 1)
A229355: 12 20 44 122 392 1370 5024 18962 72872 283370 1110704 4377602 17320952 68727770 273267584 1088189042
(((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (x * 2)),x,2) * 2) * 2) - 1)
A126718: 7 43 235 1171 5467 24403 105595 447091 1864027 7686163 31440955 127865011 517788187 2090186323 8417944315 33843570931
(if (loop(\(x,i).(x * 2),x,((if (x mod 2) <= 0 then (((2 + 2) + 1) * 2) else 1) * 2)) mod (x + 1)) <= 0 then 0 else ((2 + 2) + 1))
A237660: 0 0 5 0 0 5 5 0 5 5 5 5 5 5 5 0
((2 + 1) - loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),1,(((x + 2) + 2) + 1)))
A322984: 1 1 2 1 2 3 1 1 2 3 1 2 1 1 2 1
((((loop(\(x,i).(x * 2),(x - loop(\(x,i).((if x <= 0 then (i * 2) else x) - 1),x,0)),1) mod (x + 1)) div 2) + 1) mod (2 + 1))
A052343: 1 1 1 1 1 0 2 1 0 1 1 1 1 1 0 1
((compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,(x - 1))),x) * 2) div (2 + 1))
A317626: 2 4 8 10 14 18 28 30 38 44 58 60 64 78 80 84
((if x <= 0 then 1 else (x - (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1))) + ((x * 2) * (2 + 1)))
A314253: 1 5 11 17 23 29 35 41 47 53 59 64 69 75 81 87
loop(\(x,i).(x * x),1,((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) * 2) + 1))
A110284: 9 25 49 121 169 289 625 841 961 1225 1681 1849 2401 3025 4489 5929
loop(\(x,i).(x * x),1,((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) - 1))),x) * 2) + 1))
A110013: 25 49 81 121 169 289 361 441 529 729 961 1089 1521 1681 1849 2401
(loop(\(x,i).loop(\(x,i).(((2 + 2) + 1) * x),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A100690: 49 374 15624 546874 537109374 15869140624 12969970703124 362396240234374 274181365966796874 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),x,1) + loop(\(x,i).((2 + 1) * x),x,1)),1,((x * 2) + 1))
A138199: 17 2771 538067 105415691 20661066467 4049565346811 793714774848467 155568095572161131 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((x * 2) - 1)))),x,(x + 1)) + x) + ((x * 2) + 1))
A084432: 2 5 4 10 6 11 8 19 10 17 12 24 14 23 16 36
((loop(\(x,i).((x * 2) * (2 + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074567: 3 19 133 1009 8113 67849 582193 5079289 44791873 397760329 3548299153 31748050969 284623096033 2554993631209 22955425054513 206362390821049
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074564: 3 18 122 918 7442 63198 551162 4877478 43502882 389635758 3497598602 31434082038 282690454322 2543153640318 22883164406042 205922723414598
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074545: 3 18 134 1080 8978 75888 649154 5606640 48811778 427774608 3769260674 33358388400 296270827778 2638754846928 23555015544194 210638693637360
((compr(\x.loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) - 1)),1,((x + 1) * x)),x) * 2) + 1)
A106563: 1 11 17 23 25 31 39 41 45 51 53 57 59 65 67 73
((if x <= 0 then 1 else compr(\x.(((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) + 1) mod (2 + 1)) - 1),x)) + 1)
A246647: 2 3 6 7 9 12 15 16 18 19 21 24 25 27 28 30
loop(\(x,i).(((((if x <= 0 then 0 else ((loop(\(x,i).(((x - 1) * x) div 2),2,x) * x) + 1)) + 2) * 2) * (2 + 1)) + 1),x,1)
A070632: 1 19 1657009 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021104: 1 19 263 3311 40383 487263 5857951 70338847 844240415 10131583007 121581790239 1458992663583 17507956694047 210095659269151 2521148627024927 30253786387545119
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016302: 1 19 267 3407 41915 508167 6124003 73618159 884068779 10612080215 127361237939 1528416234111 18341401707643 220098854991463 2641196432412675 31694408051560463
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016324: 1 23 379 5483 74227 966635 12282883 153544091 1897874803 23272609547 283754322787 3445398949499 41707911082579 503763046196459 6074569573223491 73159552048508507
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021064: 1 18 241 2982 36085 433986 5210857 62539614 750503869 9006132954 108073857073 1296887073846 15562647261253 186751774276722 2241021312778489 26892255817780878
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,(x - (1 - ((x * 2) * (2 + 1))))),x) + 1)
A231407: 1 4 6
A024904: 1 4 6 12 16 22 24 28 34 46 48 52 54 58 64 66
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + ((x * 2) * 2)) * 2) - 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A021184: 1 17 197 1957 17973 157749 1345909 11271029 93191285 763669621 6218195061 50398593141 407106949237 3280364834933 26383974158453 211918126207093
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A016304: 1 15 157 1419 11869 94731 733069 5551323 41378557 304766187 2224062061 16112628987 116053574365 831966057483 5941308640333 42294437942811
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019333: 1 18 220 2280 21616 194208 1685440 14290560 119232256 983566848 8047836160 65462691840 530198327296 4280634482688 34479631482880 277245459333120
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A017932: 1 17 199 1997 18487 163205 1398223 11743469 97300423 798539093 6509186047 52798905341 426744275959 3440074001381 27677315556271 222358880070413
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019443: 1 19 247 2743 28063 273847 2596399 24174631 222479455 2032023895 18467516431 167287650439 1512085646527 13647818683063 123064923768943 1108992721390567
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021354: 1 14 129 994 6965 46158 295513 1850618 11423709 69851782 424437377 2568196722 15496267333 93328343486 561380193321 3373943212906
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A016103: 1 15 151 1275 9751 70035 481951 3216795 20991751 134667555 852639151 5343198315 33212784151 205111785075 1260114546751 7708980203835
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A017269: 1 14 133 1070 7861 54614 365653 2385950 15282421 96547814 603612373 3743478830 23070427381 141471930614 864083198293 5260771611710
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021114: 1 14 131 1036 7497 51450 341167 2209592 14071013 88494406 551310123 3409583268 20966120449 128339843282 782754695399 4760106416464
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074561: 3 15 77 405 2177 11925 66377 374445 2135777 12292965 71280377 415819485 2437700177 14348506005 84736115177 501776304525
((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A083326: 1 5 27 155 927 5675 35127 218195 1354527 8386715 51749127 318163235 1949418927 11907099755 72529083927 440741148275
loop(\(x,i).((loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021079: 1 14 133 1086 8253 60438 433861 3080462 21737485 152860422 1072817109 7520900478 52691034397 369016181366 2583829064677 18089666698734
loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016296: 1 14 137 1162 9165 69342 511393 3709874 26619989 189594790 1343438889 9485451066 66805055773 469669890158 3297861746225 23135894831938
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016801: 1 14 135 1120 8621 63714 460195 3280340 23204841 163423414 1147981055 8052113160 56430306661 395275799114 2767989986715 19380181827580
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016312: 1 18 229 2538 26197 259290 2498293 23637546 220808533 2043771642 18789409717 171872944074 1566234297109 14231753285274 129035291862901 1167964212866922
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021034: 1 13 116 902 6615 47271 333922 2346784 16455989 115278449 807210768 5651264346 39561225523 276935720347 1938571500254 13570064940788
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016311: 1 17 203 2101 20163 184821 1643251 14298917 122461955 1036190485 8684988819 72248167173 597363137827 4914549713909 40265910006707 328773866154469
(if (x mod 2) <= 0 then loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) else loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A285474: 1 11 100 1111 10000 111111 1000000 11111111 100000000 1111111111 10000000000 111111111111 1000000000000 11111111111111 100000000000000 1111111111111111
((loop(\(x,i).((x * 2) + 1),x,((loop(\(x,i).(x * 2),x,1) + 2) + 2)) div 2) - loop(\(x,i).(((2 + 1) * x) + 1),x,1))
A134019: 1 2 4 11 46 227 1114 5231 23566 102827 438274 1836551 7601686 31183427 127084234 515429471
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(x * x),2,((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1)) mod (x + 1)),x) + 1))
A259417: 1 9 25 49 81 121 169 289 361 529 625 729 841 961 1369 1681
(loop(\(x,i).(loop(\(x,i).((((x * 2) - (x div (if i <= 0 then 1 else i))) * 2) + 1),i,1) + x),x,1) div (((x + 1) * x) + 1))
A321994: 1 1 2 4 9 22 59 165
(compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x * 2)) + 1),2,x) mod (x + 1)),x) + 1)
A045753: 1 3 15 18 27 45 48 57 60 78 87 105 108 150 165 207
(compr(\x.(loop(\(x,i).(x * x),1,loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),(x mod (2 + 2)),x))) mod (x + 1)),x) + 1)
A322492: 1 2 4 6 8 12 16 18 24 32 36 48 64 72 96 108
((2 + 2) mod ((if x <= 0 then 2 else (loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - ((x div 2) mod 2))))),x,(x + 1)) + x)) + 1))
A260189: 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 4
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A019664: 1 21 301 3669 40957 433125 4418317 43942773 428973853 4128937989 39306876973 370937567637 3475860284989 32382187083813 300235508341069 2772487245505461
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021374: 1 16 173 1604 13833 115032 938821 7588108 61024865 489508448 3921394269 31392726612 251228899897 2010181938664 16082865641717 128668587186716
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A018250: 1 17 197 1945 17661 152817 1284277 10599305 86485421 700600417 5649437157 45422860665 364536479581 2922126916817 23406459170837 187399966290025
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A017521: 1 16 177 1688 14945 127008 1054033 8624296 69961089 564542000 4540661489 36447096504 292186326433 2340539977792 18739571436945 149992843917512
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021129: 1 16 175 1650 14481 122316 1010995 8250550 66817861 538611216 4329233415 34735589850 278393339641 2229689837716 17850234337435 142865452943550
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A018056: 1 20 277 3296 36169 377804 3819229 37727192 366384337 3512195588 33327711781 313693195088 2933189599705 27278314742972 252541704234733 2329170324845384
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074553: 3 16 98 664 4802 36136 278498 2177464 17174402 136190536 1083566498 8638939864 68964148802 550978111336 4404154809698 35214904015864
loop(\(x,i).((loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021084: 1 16 179 1766 16545 151572 1374943 12417922 111935549 1008117968 9075855867 81693883518 735289682713 6617786085004 59560790560151 536049978287354
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021048: 1 15 160 1530 14071 127605 1151470 10372560 93381541 840520395 7564945180 68085295590 612770035411 5514937460385 49634458601290 446710191850620
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),x,1)
A016293: 1 17 215 2485 27831 308157 3397855 37409045 411630311 4528457197 49815125295 547974764805 6027755963191 66305449804637 729360484705535 8022967479211765
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A018911: 1 18 223 2376 23485 222894 2067787 18935172 172107529 1557684810 14063797111 126801537408 1142367430933 10287141958566 92613721463395 833671786093884
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A021344: 1 13 110 770 4851 28623 161680 885940 4749701 25058033 130616850 674656710 3460370551 17652592243 89673093620 454027521080
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A021092: 1 17 205 2205 22701 229677 2307565 23119085 231365101 2314349037 23146284525 231474025965 2314784990701 23148028847597 231481004271085 2314812905956845
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A016981: 1 17 207 2245 23231 235677 2370967 23768645 237928911 2380278637 23806803527 238084281045 2380908324991 23809346902397 238094528416887 2380949536089445
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))
A074549: 3 14 74 434 2738 18074 122474 842114 5836898 40635434 283582874 1981698194 13858595858 96957713594 678496291274 4748649600674
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) + ((x * 2) * 2)) * 2),i,1) + x) + ((x * 2) * 2)),x,1)
A092794: 1 21 265 2733 25441 223461 1895545 15736413 128882641 1046542101 8451838825 68020609293 546227922241 4380272835141 35094966838105 281025802973373
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A016299: 1 17 209 2293 23961 244797 2473969 24869813 249349001 2496744877 24983724129 249918620133 2499593099641 24997965496157 249989827476689 2499949137375253
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A017897: 1 17 202 2090 20251 189707 1745332 15900020 144066901 1301455397 11737424062 105758621150 952437144751 8574983669087 77190104636392 694787214149480
((x + 1) mod (loop(\(x,i).(if x <= 0 then 0 else (x - ((if (((x div 2) + x) mod (2 + 2)) <= 0 then 2 else 1) - (x mod 2)))),2,x) + 1))
A298972: 0 0 1 0 2 0 1 0 3 0 1 2 2 0 1 0
loop(\(x,i).(((if x <= 0 then 1 else (if (x mod ((((x * 2) mod (2 + 1)) * 2) + 1)) <= 0 then (x div (2 + 1)) else 1)) + x) * 2),x,1)
A322060: 1 4 10 26 54 144
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016321: 1 21 313 4065 49081 566721 6350473 69654225 751887961 8016991521 84652923433 886876310385 9231886792441 95586981129921 985282830165193 10117545471478545
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A021049: 1 16 185 1940 19701 197976 1982785 19837180 198400301 1984089536 19841156985 198412358820 1984125963301 19841266774696 198412689204785 1984126956486860
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016280: 1 16 195 2210 24521 270396 2976415 32746870 360234741 3962640176 43589217035 479481914730 5274302648161 58017333896356 638190687176055 7020097601917790
loop(\(x,i).((loop(\(x,i).(i * x),x,1) div (x + 1)) div 2),1,(compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x) + 1))
A129742: 0 0 2 51 164945 18423138 615376173176 168483518571789 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),x,1) div (x + 1)),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1))
A180511: 5 51 585 95325 1290555 252645135 3616814565 764877654105 2484744621997515 37191016277640225 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A236959: 1 2 4 2 10 4 16 6 22 28 10 12 40 14 46 52
loop(\(x,i).((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A136035: 0 3 1 7 7 1 13 7 7 1 31 1 31 7 31 13
loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A099585: 1 2 4 2 10 4 16 2 22 28 10 4 40 14 46 52
(compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x * 2)) + 1),2,x) mod (x + 2)),x) + 1)
A174237: 1 2 5 11 17 20 26 32 41 56 77 95 110 116 122 125
((compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + x),2,x) - 1),(x * 2)) + x) + 1)
A285973: 1 5 8 13 17 21 24 28 32 37 40 45 49 53 58 61
loop(\(x,i).((loop(\(x,i).((x * 2) * 2),x,(if (x mod ((2 - (x mod 2)) + 2)) <= 0 then 1 else 0)) div (x + 1)) + (x * 2)),x,1)
A018348: 1 2 4 59 118 236
((loop(\(x,i).(1 - (x * 2)),x,loop(\(x,i).(x mod 2),(x div 2),(1 - ((x mod 2) * 2)))) - 1) + loop(\(x,i).(x * 2),x,1))
A231407: 1 4 6
A087231: 1 4 6 2 26 10 106 42 426 170 1706 682 6826 2730 27306 10922
(loop(\(x,i).((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 2) * x),x,(2 + 1)) - loop(\(x,i).(x * 2),x,1))
A330349: 2 13 101 1147 14999 255223 4849781 111546307 3234846359 100280244553 3710369066381 152125131761557 6541380665830919 307444891294237513 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1) + loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * 2),x,1)))
A085812: 1 5 22 91 366 1454 5748 22691 89590 354010 1400268 5544334 21973420 87158972 345977832 1374249251
(loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(i - 1),1) + x),x,1) - loop(\(x,i).(x * 2),x,1))
A306376: 0 0 1 7 34 144 574 2226 8533 32587 124453 476145 1826175 7022379 27072487 104614863
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A074538: 3 14 78 476 3042 19964 133338 901796 6155682 42307244 292241898 2026156916 14085431922 98109721724 684326604858 4778079120836
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,(x + 1)) - loop(\(x,i).((x * 2) * 2),x,1)) div (x + 1))
A282708: 0 0 0 4 18 81 338 1384 5588 22405 89430 355906 1413600 5607109 22220902 88008656
(loop(\(x,i).(loop(\(x,i).(((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1),1,i) + x),x,1) + (x + 1))
A326300: 2 6 8 16 18 22 24 40 42 46 48 56 58 62 64 96
loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)))
A037074: 15 35 143 323 899 1763 3599 5183 10403 11663 19043 22499 32399 36863 39203 51983
(((if x <= 0 then 1 else (((if (x mod (2 + 1)) <= 0 then 0 else (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x)) + x) * 2)) + x) + (x + 1))
A020583: 2 7 11 13 19 31
(((loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x),1,((2 + 1) * x)) + x) + x) + (x + 1))
A046818: 1 1 3 2 3 1 3 3 3 3 5 2 3 2 4 4
(loop(\(x,i).((i + 2) * x),compr(\x.((loop(\(x,i).(i * x),x,1) - 1) mod (x + 2)),x),2) - loop(\(x,i).(i * x),x,(x + 1)))
A261457: 1 4 114 5016 39916680 6227020080 355687428090960 121645100408791680 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else loop(\(x,i).loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2),1,(x - 1)))
A131136: 1 2 4 4 8 4 8 8 16 4 8 8 16 8 16 16
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,(((((x * 2) + 1) * 2) * 2) + x)),x) + 1)
A024910: 1 5 7 9 11 17 25 27 31 35 37 39 41 47 49 51
loop(\(x,i).(loop(\(x,i).((x div ((x mod ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1),1,i) + x),x,1)
A268398: 1 2 3 7 8 9 10 14 17 18 19 23 24 25 26 42
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),1,i) * x),x,1)
A053106: 1 17 408 12648 480624 21628080 1124660160 66354949440 4379426663040 319698146401920 25575851712153600 2225099098957363200 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,loop(\(x,i).((((((2 + 2) + 1) * x) * 2) div (if i <= 0 then 1 else i)) + x),x,1))
A197193: 1 77 3234 98098 2403401 50471421 942133192 16016264264 252256162158 3727785507446 52188997104244 697434779483988 8950413003377846 110847422580294862 1330169070963538344 4611686018427387903
((if x <= 0 then 2 else loop(\(x,i).((x - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1)) * 2),x,0)) div 2)
A158495: 1 ~1 ~3 ~8 ~21 ~56 ~154 ~440 ~1309 ~4048 ~12958 ~42712 ~144210 ~496432 ~1735764 ~6145968
((loop(\(x,i).(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + x),1,((x + 1) * (2 + 1))) + 1) * 2)
A136799: 10 16 22 28 36 40 46 52 58 66 70 78 82 88 96 100
(((((((if x <= 0 then 1 else ((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * x) div 2)) + 1) div 2) + 1) div 2) + 1) div 2)
A238794: 1 0 1 0 1 1 0 1 1 2 0 1 2 3 4 0
((loop(\(x,i).(x * 2),x,(2 + 1)) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),((x + 1) div 2),1)) div 2)
A117186: 1 2 5 9 21 38 86 157 349 642 1410 2610 5682 10572 22860 42717
((if x <= 0 then 2 else ((((((loop(\(x,i).((if (x mod 2) <= 0 then 1 else x) * x),1,(x - 2)) div 2) div 2) + 1) div 2) div 2) + 1)) div 2)
A263395: 1 0 0 0 0 0 0 1 0 2 0 3 0 4 1 5
((((if x <= 0 then 2 else (loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) div ((x mod 2) + 2))) div 2) + 1) div 2)
A141099: 1 0 0 0 1 0 0 1 1 0 1 1 1 1 2 0
(loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(x + 2)),((x + 2) + 2),1) mod (((2 + 2) + 1) * 2))
A093336: 1 3 7 9 3 9 1 7 1 3 7 3 9 1 7 1
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - (if (x - 2) <= 0 then 2 else 1)) div 2)
A112051: 1 3 11 24 60 84 144 180 264 420 480 684 840 924 1104 1404
(1 - ((loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(i * x),(x div 2),1) - loop(\(x,i).(i * x),x,1))) div (2 + 1)) div 2))
A330124: 1 1 2 22 1776
(1 - (((((if x <= 0 then 2 else (loop(\(x,i).(((i mod 2) - 2) * x),x,1) - loop(\(x,i).(x * 2),x,1))) + x) div 2) + 1) div 2))
A091328: 0 1 1 3 3 9 13 33 59
(((if x <= 0 then 1 else compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2))) + 1) div 2)
A168544: 1 6 9 15 21 30 36 51 54 69 75 90 96 99 114 120
(2 - ((loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (((i + 1) * 2) + 1))),x,(x * 2)) + 1),1,(x * 2)) + 1) div 2))
A271647: 1 2 4 3 6 5 9 8 7 12 11 10 16 15 14 13
((loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),x,(x + 1)) + loop(\(x,i).(x * 2),x,1)) div 2)
A172411: 1 2 5 10
A323988: 1 2 5 10 23 46 102 204 443 886 1898 3796 8054 16108 33932 67864
((loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),x,(x + 1)) - loop(\(x,i).(x * 2),x,1)) div 2)
A107373: 0 0 1 2 7 14 38 76 187 374 874 1748 3958 7916 17548 35096
((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x + 1) mod 2)) + loop(\(x,i).(x * 2),x,1)) div 2)
A027306: 1 1 3 4 11 16 42 64 163 256 638 1024 2510 4096 9908 16384
(compr(\x.(loop(\(x,i).(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x * 2)) - 1),2,x) - 1),(x + 1)) * 2)
A309374: 2 4 6 10 12
A055235: 2 4 6 10 12 18 28 30 36 54 82 84 90 108 162 244
(compr(\x.loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) div (i + 1)) * x),2,x),(x + 1)) * 2)
A043726: 2 4 6 8 12 14 16 24 28 30 32 42 48 56 60 62
(loop(\(x,i).(x * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) - 2)
A137367: 7 23 119 287 839 1679 3479 5039 10199 11447 18767 22199 32039 36479 38807 51527
loop(\(x,i).(x * x),1,(compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 2))
A108604: 25 49 169 361 961 1849 3721 5329 10609 11881 19321 22801 32761 37249 39601 52441
(((((if (x mod (2 + 2)) <= 0 then ((2 + 2) * 2) else 1) * 2) * (if x <= 0 then 1 else 2)) * (2 - (x mod 2))) - (if x <= 0 then 1 else 2))
A040958: 31 2 6 2 62 2 6 2 62 2 6 2 62 2 6 2
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),1,((2 + 1) * x)),x) + 1) * 2)
A120382: 40 48 62 68 72 82 96 100 108 114 138 142 158 172 176 178
(loop(\(x,i).(x * 2),(((x + 2) * (2 + 1)) - loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x)),1) * 2)
A093528: 128 2048 16384 524288 4194304 67108864 536870912 34359738368 274877906944 4398046511104 35184372088832 1125899906842624 9007199254740992 144115188075855872 1152921504606846976
((loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,1)) + 1)) div 2) div 2)
A096222: 1 3 9 30 100 360 1296 4896 18496 71808 278784 1098240 4326400 17172480 68161536 271589376
((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (((2 + 1) * 2) + 1)) else 2) div 2)
A040204: 14 1 3 1 28 1 3 1 28 1 3 1 28 1 3 1
(loop(\(x,i).((x + 1) * x),1,(if x <= 0 then 1 else ((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 2))) div 2)
A122916: 1 3 3 3 3
A337328: 1 3 3 3 3 10 3 3 3 10 3 10 3 10 10 3
((loop(\(x,i).(1 - loop(\(x,i).((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) * 2) - 1),(x * 2),x)),1,(x + 1)) div 2) div 2)
A120069: 1 2 16 32 128 256 4096 8192 32768 65536 524288 1048576 4194304 8388608 268435456 536870912
((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x + 1) mod 2))) div 2)
A058622: 0 1 1 4 5 16 22 64 93 256 386 1024 1586 4096 6476 16384
(((loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 2 else 0) + x),x,(x + 2)),(((x + 2) + 2) + 2),1) * 2) * 2) * 2)
A270301: 136 152 184 232 248 296 328 344 376 424 472 488 536 568 584 632
((if x <= 0 then 0 else (compr(\x.((loop(\(x,i).(x * 2),x,((if (x mod 2) <= 0 then (x * 2) else 1) + 1)) mod (x + 2)) - 1),x) + 2)) div 2)
A143738: 0 1 2 2 3 3 4 5 6 6 8 8 9 11 12 14
(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)),1,(((x + 1) * x) + 2)) div 2)
A121824: 17 353 198593
(loop(\(x,i).((2 + 1) * x),(x div 2),loop(\(x,i).((x * 2) - ((if (i mod 2) <= 0 then 1 else (x * 2)) div (i + 1))),x,2)) div 2)
A098662: 1 1 6 9 54 90 540 945 5670 10206 61236 112266 673596 1250964 7505784 14073345
(if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((2 + 2) * (2 + 1)) else 1) * 2) * (if x <= 0 then 1 else 2)) else ((x mod 2) + 2))
A040565: 24 3 2 4 2 3 48 3 2 4 2 3 48 3 2 4
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x - 1),(0 - x)) * 2)))
A098580: 1 ~4 ~16 ~96 ~640 ~4480 ~32256 ~236544 ~1757184 ~13178880 ~99573760 ~756760576 ~5778898944 ~44304891904 ~340806860800 ~2629081497600
(loop(\(x,i).loop(\(x,i).(((2 + 2) + 1) * x),((x * 2) - 1),1),1,(((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) * x)) + 2)
A182330: 3 7 127 762939453127
loop(\(x,i).(x * x),1,((if x <= 0 then 2 else loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,((2 + 1) * x))) div 2))
A338727: 1 1 9 81 784 8100 88209 1002001 11778624 142420356 1763160100 22268399076 286105172544 3730846771600 49286086364025 658580586980625
loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1),1,(((x + 1) * x) div 2))
A113511: 1 2 30 30030 6469693230 614889782588491410 4611686018427387903 4611686018427387903 4611686018427387903
((((x div (((if loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,x) <= 0 then 2 else 1) * 2) + 1)) * 2) + x) div 2)
A334043: 0 0 1 2 2 3 5 4 5 7 8 8 10 8 9 12
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x * x) + (2 + 1)) * 2)),x) * 2)
A121982: 2 4 8 14 16 22 26 32 34 38 44 46 52 64 68 76
loop(\(x,i).loop(\(x,i).(((i * 2) - 1) * x),(x div 2),1),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A207332: 1 1 3 15 945 10395 2027025 34459425 13749310575 213458046676875 6190283353629375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((if (x mod 2) <= 0 then 2 else 0) + (x div 2)) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A112456: 6 3 10 21 55 78 136 171 253 406 465 666 820 903 1081 1378
loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A079395: 2048 177147 48828125 1977326743 285311670611 1792160394037 34271896307633 116490258898219 952809757913927 12200509765705829 25408476896404831 177917621779460413 550329031716248441
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),x,x) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A097205: 72 729 30375 750141 235782657 3502727631 634465620819 7971951402153 1145440056788109 1673826273552131487 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),2,((x * x) * x)) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138031: 8192 1594323 1220703125 96889010407 34522712143931 302875106592253 9904578032905937 42052983462257059 504036361936467383 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A065858: 6 8 10 14 20 22 27 30 35 44 46 54 58 62 66 75
compr(\x.loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A078782: 4 6 9 12 18 21 26 28 34 42 45 52 57 60 65 74
((((loop(\(x,i).(((x - 1) * x) div 2),1,loop(\(x,i).((x * 2) * 2),x,1)) div 2) div 2) - 1) mod loop(\(x,i).(x * 2),x,2))
A284405: 1 0 5 7 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535
(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) div (loop(\(x,i).((2 + 1) * x),x,(2 + 1)) - loop(\(x,i).(x * 2),x,2)))
A191695: 5 5 6 9 14 23 37 61 101 168 278 462 769 1280 2131 3550
(loop(\(x,i).((0 - x) * (2 + 1)),x,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)) div (1 - (x * 2)))
A108735: 1 6 ~18 108 ~810 6804 ~61236 577368 ~5629338 56293380 ~574192476 5950722024 ~62482581252 663276631752 ~7106535340200 76750581674160
((if x <= 0 then 1 else loop(\(x,i).(if x <= 0 then 0 else (((((x - 1) * x) div 2) * ((2 + 2) + 1)) + 1)),1,(x - 1))) + (x * 2))
A116733: 1 2 5 12 24 41 63 90 122 159 201 248 300 357 419 486
(((((loop(\(x,i).(x * 2),x,(if (x mod (2 + 1)) <= 0 then 1 else 2)) + 1) div (2 + 1)) * 2) + 1) + (if x <= 0 then 1 else (x * 2)))
A020629: 2 5 11 13 31 53
(((if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then (2 + 2) else 0) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1)) + (x mod 2))
A040216: 15 4 3 7 3 4 30 4 3 7 3 4 30 4 3 7
(((if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1) * (if x <= 0 then 1 else 2)) else 1) * 2) - (x mod 2))
A040201: 14 1 2 3 2 1 28 1 2 3 2 1 28 1 2 3
((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * (2 + 1)) else 2) - (x mod 2))
A040331: 18 1 2 2 2 1 36 1 2 2 2 1 36 1 2 2
(loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else ((loop(\(x,i).((x * 2) - (x mod (2 + 2))),2,(x * 2)) * 2) + 1)),x,x) div 2)
A079237: 0 2 2 4642
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1),1,(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2))
A181363: 1 1 2 1 3 2 5 1 7 3 11 2 13 5 17 1
(compr(\x.(1 - loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1)) - 2),2,x)),x) * 2)
A043769-A043760-A043752-A043745-A043733-A043573: 42 74 82 84 86 90 106 138 146 148 150 154 162 164 166 168
compr(\x.loop(\(x,i).(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x * 2) * 2) + 1))),1,((x * 2) * (2 + 1))),x)
A114913-A111174: 3 4 8 10 13 14 17 18 19 24 25 28 32 39 42 43
((loop(\(x,i).((if x <= 0 then x else (x - (if x <= 0 then 1 else ((x div (((x div 2) div (2 + 1)) + 2)) - 1)))) + 1),2,x) - 1) + x)
A026420: 2 4 5 6 7 9 11 13 15 16 17 19 21 23 25 27
(loop(\(x,i).(x - (if x <= 0 then 1 else (((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1) mod (2 + 1)) - 1))),x,(x + 1)) + x)
A244731: 1 2 5 6 10 11 12 13 17 21 22 23 24 25 29 30
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x * 2) * (2 + 1)) + 2) * 2)),x)
A139528: 0 2 3 4 5 7 9 10 14 17 18 19 20 23 24 27
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 2) * (x + 1)) div 2) + 2)),x)
A175282: 1 2 4 7 8 10 11 16 17 23 25 28 29 31 32 37
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,(((((2 + 2) * (2 + 1)) + 1) * x) + 2)),x)
A154610: 0 2 6 8 18 24 32 38 44 56 62 66 72 74 78 84
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,((((((2 + 2) * 2) * 2) + 1) * x) + 2)),x)
A138624: 0 4 6 16 18 22 36 42 46 48 58 64 72 76 82 84
((((((if x <= 0 then 1 else loop(\(x,i).((if x <= 0 then ((((i + 1) * i) + 1) * i) else x) - 1),x,0)) + x) + 1) + x) + 2) - x)
A087573: 4 6 6 6 90 90
(((2 - (loop(\(x,i).(if x <= 0 then 0 else ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)),2,x) mod (2 + 1))) + (x * 2)) + x)
A287363: 2 5 7 9 14 17 20 22 24 29 31 33 38 40 42 47
compr(\x.(1 - loop(\(x,i).(loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),(x div 2),((x * 2) - 1)) - 1),1,((x * x) div 2))),x)
A028870: 2 3 5 7 9 13 15 19 21 27 29 33 35 37 43 47
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x)),x)
A102721: 0 6 8 14 18 20 24 36 38 48 50 54 60 66 68 74
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,((((((x * 2) * 2) + 1) * 2) * 2) + x)),x)
A138630: 0 2 6 12 18 20 26 36 38 48 50 62 66 68 72 80
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod (i + 2)) <= 0 then 0 else 1)),x,x),1,((((((2 + 1) * x) + 2) * 2) * 2) + x)),x)
A111369: 0 2 6 12 14 20 26 30 36 42 50 56 72 80 84 86
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) * loop(\(x,i).((x * x) * x),x,x))
A052072: 0 1331 700227072 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(i + x),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),0)
A343877: 0 0 0 1 0 3 0 3 1 3 0 10 0 3 3 6
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) - (if (x - 1) <= 0 then ((((2 + 2) + 1) * x) * 2) else 0))
A267937: 1 101 11111 1111111 111111111 11111111111 1111111111111 111111111111111 11111111111111111 1111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x - ((0 - (((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1)) div ((2 + 2) + 1))),x,0)
A345297: 0 1 2 3 5 6 7 10 11 13 14 15 22 23 26 27
loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((x + 2) + 1),loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0))
A244845: 111 101111 11011111 1110111111 111101111111 11111011111111 1111110111111111 111111101111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x + 1),loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) - 1)
A173521: 0 1010 110110 11101110 1111011110 111110111110 11111101111110 1111111011111110 111111110111111110 4611686018427387903 4611686018427387903 4611686018427387903
((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1))
A325770-A305611-A294928-A239707: 0 1 1 2 1 3 1 3 2 3 1 5 1 3 3 4
loop(\(x,i).((x * 2) * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),1)
A309074: 1 1 4 1 16 4 4 1 64 16 16 4 16 4 4 1
loop(\(x,i).((2 + 1) * x),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),1)
A309057: 1 1 3 1 9 3 3 1 27 9 9 3 9 3 3 1
((x mod ((x mod ((loop(\(x,i).(x * 2),x,((if (x mod ((x mod 2) + 2)) <= 0 then 1 else x) + 1)) mod (x + 1)) + 1)) + 1)) + 1)
A069226: 1 1 3 1 1 1 1 1 9 5 1 1 1 1 3 1
loop(\(x,i).(i * x),((x div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1),1)
A102068: 1 2 6 2 120 6 5040 2 6 120 39916800 6 6227020800 5040 120 2
(loop(\(x,i).(x * 2),((((if x <= 0 then 2 else (((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1))) div 2) * 2) - 1),1) - 1)
A271697: 1 0 0 0 1 0 0 1 1 0 0 1 7 1 0 0
(((x * 2) div (((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x * 2)) + 1) mod (2 + 1)) + 1)) + 1)
A026210-A026186-A026172-A026136: 1 3 2 7 9 4 5 15 6 19 21 8 25 27 10 11
(loop(\(x,i).(((((x + 1) * x) + 1) div (2 + 1)) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1)) + 1)
A281860: 371 336701 333667001 333366670001 333336666700001 333333666667000001 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x mod (((loop(\(x,i).((x + 1) * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1) - (x mod 2)) mod (x + 1)) + 1)) + 1)
A340082: 1 1 1 1 1 2 1 1 1 4 1 2 1 6 4 1
((((1 - (if (2 - (x div (2 + 2))) <= 0 then (x mod ((2 + 2) * 2)) else 1)) * (2 + 1)) * ((if x <= 0 then 0 else 2) + 1)) - 1)
A160925: ~1 ~1 ~1 ~1 ~1 ~1 ~1 ~1 8 ~1 ~10 ~19 ~28 ~37 ~46 ~55
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1)) - 1)
A332196: 6 969 99699 9996999 999969999 99999699999 9999996999999 999999969999999 99999999699999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((if x <= 0 then 0 else (loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1)) + 2) * (2 + 1)) div (((2 + 1) * 2) + 1)) + 1)
A323889: 1 2 2 3 2 4 3 5 2 6 4 7 3 7 5 8
((if (x - 1) <= 0 then 0 else (((x div (((if (((x - 1) div 2) mod (2 + 2)) <= 0 then 2 else 1) + (x mod 2)) + 1)) mod 2) + 1)) + 1)
A332297: 1 1 2 3 2 3 3 2 2 2 3 3 2 2 3 3
((x mod ((x div ((loop(\(x,i).(x * 2),(x - 1),(if (x mod ((x mod 2) + 2)) <= 0 then 1 else 0)) mod (x + 1)) + 2)) + 1)) + 1)
A094522: 1 1 1 2 1 3 1 4 3 2 1 6 1 7 3 8
(((((loop(\(x,i).((if x <= 0 then 1 else (((x * 2) * (i - 1)) * (i - 2))) + x),x,x) - 1) * (x + 1)) div 2) + 1) + 1)
A326224: 1 2 3 30 649
(if x <= 0 then 0 else (((((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2) * 2) div ((2 + 2) + 1)) + 1))
A061395: 0 1 2 1 3 2 4 1 2 3 5 2 6 4 3 1
((loop(\(x,i).((((x + 2) * x) + 2) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1)) div (2 + 1)) + 1)
A281859: 407 340067 334000667 333400006667 333340000066667 333334000000666667 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if x <= 0 then 1 else x) mod (((if (((x + 2) mod ((2 + 2) * 2)) mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)) mod (2 + 1)) + 1)
A241815: 2 2 3 1 2 1 1 3 1 1 1 2 1 1 3 1
(if x <= 0 then 1 else (((0 - ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1))) mod (2 + 1)) - 1))
A307420: 1 ~1 ~1 1 ~1 1 ~1 0 1 1 ~1 ~1 ~1 1 1 0
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2)) + 1) div (2 + 1)) + 1)
A177139: 3 5 7 11 15 21 25 35 37 47 51 61 65 67 77 81
(if x <= 0 then 0 else ((((((((loop(\(x,i).(x * 2),(x div 2),2) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A309981: 0 1 1 1 2 2 2 1 2 2 3 2 3 2 1 1
(((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((x + 1) div 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A221640: 1 1 2 1 2 3 1 3 4 7 1 3 5 9 11 1
loop(\(x,i).(i * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),1)
A216864: 1 1 1 2 1 4 1 4 2 4 1 8 1 4 4 6
(((if x <= 0 then 1 else (((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) + 2)) mod (2 + 1)) - 1)
A317146: 0 1 1 ~1 1 ~1 1 0 ~1 ~1 1 1 1 ~1 ~1 0
((loop(\(x,i).(((2 + 2) + 1) * x),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),2) * (2 + 1)) - 1)
A098117: 29 149 3749 93749 58593749 1464843749 915527343749 22888183593749 14305114746093749 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((2 - (x div (2 + 2))) * x),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) mod (2 + 1)) - 1)
A005094: 0 0 ~1 0 1 ~1 ~1 0 ~1 1 ~1 ~1 1 ~1 0 0
(((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) - 1)),x) * 2) * (2 + 1)) + 1)
A216869: 1 25 49
A091300: 1 25 49 55 85 91 115 121 133 145 169 175 187 205 217 235
(if (2 - x) <= 0 then loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) else ((((2 + 1) * x) * (2 + 1)) + 1))
A267887: 1 10 11111 1111111 111111111 11111111111 1111111111111 111111111111111 11111111111111111 1111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) * (x + 1)))),x) div (2 + 1)) + 1)
A091199: 1 2 3 4 6 7 8 10 14 17 18 19 20 21 25 29
(((((if (x mod (2 + 1)) <= 0 then 0 else (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1)) + 1) * 2) - (x mod (2 + 1))) - 1)
A249694: 1 2 1 1 4 1 1 2 1 1 2 1 1 2 3 1
loop(\(x,i).(((x * 2) * (2 + 1)) + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,((2 + 2) * 2)) mod (x + 1)),x) + 1),1)
A165210: 7 43 55987 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) + 1) * (loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1))
A332190: 0 909 99099 9990999 999909999 99999099999 9999990999999 999999909999999 99999999099999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1)
A290059: 3 10 126 1716 352716 5200300 1166803110 17672631900 4116715363800 15033633249770520 232714176627630544 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1)
A246669: 2 5 42 429 58786 742900 129644790 1767263190 343059613650 1002242216651368 14544636039226909 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(x - (if (x mod ((2 + 2) + 1)) <= 0 then ((1 - ((x mod 2) * 2)) * ((2 + 2) + 1)) else 0)),1,(x + 1)) - 1)
A222244: 0 1 2 3 9 5 6 7 8 4 10 11 12 13 19 15
((((((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) mod (x + 2)) div 2) div 2) + 1) mod (x + 1)) + 1)
A129654: 1 2 2 2 3 2 2 3 3 2 3 2 2 4 3 2
((((loop(\(x,i).(((x * 2) + 1) * 2),(if x <= 0 then 2 else (0 - 1)),((x * 2) * 2)) * (x + 1)) + 2) * (x + 1)) - 1)
A106231: 11 19 77 199 409 731 1189 1807 2609 3619 4861 6359 8137 10219 12629 15391
(loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)) * (((2 + 2) * (x + 1)) - 1))
A267844: 3 7 44 375 3724 40572 470448 5705271 71571500 921922716 12130541488 162422308412 2206718599344 30354522550000 422005129502400 5921371233163575
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1))
A262778: 12 103 1005 10007 100011 1000013 10000017 100000019 1000000023 10000000029 100000000031 1000000000037 10000000000041 100000000000043 1000000000000047 10000000000000053
(if x <= 0 then 2 else ((((if (2 - x) <= 0 then (1 - (((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2)) else 0) + 1) * 2) + 1))
A039704: 2 3 5 1 5 1 5 1 5 5 1 1 5 1 5 5
((loop(\(x,i).(x * x),1,(((loop(\(x,i).((x + 2) * x),2,((2 + 1) * 2)) * (x + 1)) * (2 + 1)) + 1)) * 2) - 1)
A157863: 103708801 414777601 933206401 1658995201 2592144001 3732652801 5080521601 6635750401 8398339201 10368288001 12545596801 14930265601 17522294401 20321683201 23328432001 26542540801
((loop(\(x,i).(x * x),1,(((loop(\(x,i).((x + 2) * x),2,((2 + 1) * 2)) * (x + 1)) * (2 + 1)) - 1)) * 2) - 1)
A157859: 103651201 414662401 933033601 1658764801 2591856001 3732307201 5080118401 6635289601 8397820801 10367712001 12544963201 14929574401 17521545601 20320876801 23327568001 26541619201
((((loop(\(x,i).((((x * 2) * 2) * (2 + 1)) + 1),x,1) div loop(\(x,i).(((x * 2) * 2) - 1),x,1)) + 1) div 2) + 1)
A263459: 2 3 8 23 67 200 597 1790 5369 16105 48314 144939 434816 1304447 3913339 11740016
((if x <= 0 then 1 else x) div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 1)) + 2)) + 1))
A268336: 1 1 2 1 4 1 6 1 2 2 10 1 12 3 4 1
((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) mod (2 + 1)) + 1)) + 1) div 2) + 1) div 2) + 1)
A308694: 1 1 2 1 2 2 1 2 2 3 1 2 2 4 2 1
(loop(\(x,i).(x * x),1,(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * (2 + 1))) * (((2 + 1) * 2) + 1))
A178634: 63 7623 776223 77762223 7777622223 777776222223 77777762222223 7777777622222223 777777776222222223 4611686018427387903 4611686018427387903 4611686018427387903
((((2 - ((x + 1) mod (((if ((if x <= 0 then 1 else x) mod ((2 + 1) * 2)) <= 0 then 2 else 0) * 2) + 1))) mod (x + 1)) * 2) + 1)
A125563: 1 1 5 5 5 5 1 5 5 5 5 5 25 5 5 5
(((((((loop(\(x,i).((if (x - 2) <= 0 then 1 else ((i * x) * (x - 1))) + x),x,0) + 1) div 2) div 2) + 1) div 2) div 2) + 1)
A071881: 1 1 1 1 3 222
((((((x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1)
A323906: 1 1 1 2 1 3 1 4 3 4 1 5 1 6 4 7
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - (if (((x + 1) div 2) mod ((2 + 1) * 2)) <= 0 then 2 else 1))
A249425: 0 2 4 6 10 12 16 18 22 28 30 35 39 42 46 52
loop(\(x,i).(x * 2),((((((loop(\(x,i).(x * 2),(x - 1),1) div (2 + 1)) * ((2 + 2) + 1)) + 1) div 2) + 2) div 2),1)
A160179: 2 2 2 4 8 128 8192 134217728 9007199254740992
((((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (i + 1))),x,x) + 1),x) + 1) * (2 + 2)) * 2) + 1)
A141174-A007519: 17 41 73 89 97 113 137 193 233 241 257 281 313 337 353 401
((((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then x else (i + 1))),x,x) + 1),x) + 1) * (2 + 2)) * 2) - 1)
A186295: 15 39 71 87 95 111 135 191 231 239 255 279 311 335 351 399
(if x <= 0 then 1 else ((((((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) * (2 + 1)) - 1) div (x + 1)) * (((2 + 2) * 2) + 1)))
A169736: 1 18 9 9 9 9 9 9 9 9 9 0 0 0 0 0
(((loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x),1,(x - 1)) * x) div 2) div (((2 + 2) * 2) + 1))
A000910: 0 0 0 0 0 0 5 35 140 420 1050 2310 4620 8580 15015 25025
((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x) * ((2 + 2) * 2)) + 1)
A186298: 1 9 17 41 57 65 81 105 129 137 161 177 209 225 249 281
(loop(\(x,i).(x * 2),(x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)),1) mod ((2 + 2) + 1))
A323903: 1 1 1 2 1 2 1 3 4 2 1 3 1 2 4 3
(((loop(\(x,i).((x - 1) * x),1,compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) * 2) + 1) mod ((2 + 2) + 1))
A051834: 1 1 3 1 0 1 1 0 1 0 0 1 0 1 1 1
(loop(\(x,i).((((2 + 1) * x) + 2) * x),1,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) div ((2 + 2) + 1))
A099638: 1 77 7437 741037 74077037 7407437037 740741037037 74074077037037 7407407437037037 740740741037037037 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((x * 2) * (2 + 1)) + 1) * x),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * ((2 + 2) + 1))
A343586: 35 3050 300500 30005000 3000050000 300000500000 30000005000000 3000000050000000 300000000500000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + loop(\(x,i).((x * 2) * (x + 1)),2,((2 + 2) + 1)))
A295004: 7322 7323 7325 7327 7331 7333 7337 7339 7343 7349 7351 7357 7361 7363 7367 7373
(((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div ((2 + 2) + 1))
A137831: 0 0 1 2 6 8 14 18 26 42 48 68 84 92 110 140
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(x - ((1 - (x div 2)) div ((2 + 2) + 1))))
A042990: 2 3 5 7 13 17 19 23 29 31 37 41 43 47 59 61
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * (2 + 1))
A332130: 0 303 33033 3330333 333303333 33333033333 3333330333333 333333303333333 33333333033333333 3333333330333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.((x div 2) mod 2),(if x <= 0 then 1 else (((x mod (((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) * 2) + 1)) + 1) div (2 + 1))))
A137252-A098172: 1 0 1 0 0 1 0 0 1 1 0 0 0 4 1 0
(((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 2)) div 2) * (((x + 1) * 2) + 1)) div (2 + 1))
A002803: 1 15 140 1050 6930 42042 240240 1312740 6928350 35565530 178474296 878850700 4259045700 20359174500 96172862400 449608131720
(1 - ((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * 2),((x + 1) div (((2 + 1) * 2) + 1)),1)) div (2 + 1)) mod (2 + 1)))
A011635: 1 1 0 ~1 ~1 0 1 0 ~1 ~1 0 1 1
A014555: 1 1 0 ~1 ~1 0 1 0 ~1 ~1 0 1 1 ~1 ~1 0
((((loop(\(x,i).(((x * 2) * (2 + 1)) + 2),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) * 2) div (2 + 1)) div (2 + 1))
A200674: 0 1 9 61 385 2365 14353 86605 521089 3130909 18798577 112830829 677103073 4062972733 24378899281 146276584333
((((((loop(\(x,i).(x * 2),((if (x mod 2) <= 0 then 1 else x) - (x div 2)),1) div (x + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A052120: 1 1 0 1 0 1 0 1 0 2 0 2 0 4 0 6
((if x <= 0 then 1 else x) - (((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)))
A062968: 1 1 2 2 4 3 6 5 7 7 10 7 12 11 12 12
((1 - (((x div (((loop(\(x,i).(x * 2),x,(if (x - 2) <= 0 then 1 else 2)) - 1) mod (x + 1)) + 2)) + 1) div 2)) mod (2 + 1))
A035220: 1 1 0 1 0 0 0 1 1 0 2 0 2 0 0 1
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),((((x * 2) * 2) * 2) + 1)) * 2) + (2 + 1))
A031908: 5 31 67 103 149 191 233 277 331 379 431 467 523 587 631 677
((loop(\(x,i).((x * 2) + 1),x,((((loop(\(x,i).((x * 2) * 2),x,2) div (x + 1)) + x) * 2) + 1)) * 2) mod (2 + 1))
A255648: 1 1 2 1 0 2 2 1 2 0 0 2 2 2 0 1
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),((((2 + 2) + 1) * x) + 1)) * 2) + (2 + 1))
A031379: 5 19 41 61 83 107 137 163 191 223 241 271 307 337 367 397
((loop(\(x,i).(((x + 1) * x) * ((x * 2) + 1)),1,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) div 2) div (2 + 1))
A130612: 1 385 338350 333833500 333383335000 333338333350000 333333833333500000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x * x) - 1) * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2) div (2 + 1))
A126995: 1 10 35 165 286 680 969 1771 3654 4495 7770 10660 12341 16215 23426 32509
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2) div (2 + 1))
A157834: 3 5 7 13 15 23 27 33 35 37 43 55 65 75 77 93
(((if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 2) * 2) div (2 + 1))
A010137: 6 1 5 1 12 1 5 1 12 1 5 1 12 1 5 1
((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1))
A335519-A325560-A322986-A318412-A302051-A184395-A179942-A179941-A167447-A134687-A122668-A122667-A073668-A000005: 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5
(((((if x <= 0 then 0 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2)) + 2) * 2) * 2) * (2 + 1))
A055669: 24 96 144 192 288 336 432 480 576 720 768 912 1008 1056 1152 1296
((((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div 2) div 2) div 2) div (2 + 1))
A024702: 1 2 5 7 12 15 22 35 40 57 70 77 92 117 145 155
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),((((2 + 2) + 1) * x) + 2)) * 2) + (2 + 1))
A031371: 7 23 43 67 89 109 139 167 193 227 251 277 311 347 373 401
((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) * 2)) div (2 + 1)))
A314684: 1 5 9 13 17 22 26 31 35 39 43 48 53 57 61 65
((loop(\(x,i).(((x * x) div 2) * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A127921: 2 10 28 110 182 408 570 1012 2030 2480 4218 5740 6622 8648 12402 17110
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),((((2 + 1) * 2) + 1) * x)) * 2) + (2 + 1))
A031907: 3 23 53 83 113 157 193 233 271 313 359 401 443 487 541 587
((((if x <= 0 then 2 else ((((loop(\(x,i).((x * 2) - (i mod 2)),x,1) * (x - 1)) div 2) + 1) * 2)) + x) * 2) div (2 + 1))
A259545: 1 2 4 7 16 34 78 178
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((x - ((1 - x) * (2 + 2))) * 2),x,2)) * (2 + 1))
A332136: 6 363 33633 3336333 333363333 33333633333 3333336333333 333333363333333 33333333633333333 3333333336333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) div 2) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138421: 2 12 100 392 2420 4732 13872 21660 46552 117740 153760 312132 470680 569492 812912 1314612
((((2 + 2) + 1) * x) - (loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((2 + 1) * x) - 1)),(2 + 1),x) mod (2 + 1)))
A075326: 0 3 9 13 18 23 29 33 39 43 49 53 58 63 69 73
(((loop(\(x,i).(x * 2),x,(1 - ((loop(\(x,i).((x * 2) * 2),x,2) - 1) mod (x + 1)))) div (x + 1)) + x) mod (2 + 1))
A074942: 1 1 2 2 1 2 0 1 0 1 1 1 0 0 2 2
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)))
A332114: 4 141 11411 1114111 111141111 11111411111 1111114111111 111111141111111 11111111411111111 1111111114111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 1)))
A332125: 5 252 22522 2225222 222252222 22222522222 2222225222222 222222252222222 22222222522222222 2222222225222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if x <= 0 then 2 else loop(\(x,i).(((((x * 2) + 1) * x) * 2) div (2 + 1)),x,1)) + 1) div (2 + 1)) - (x div (2 + 1)))
A326974: 1 1 2 16 1212
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (x + 1)) + 1))),x) * 2) + 1)
A007591: 1 3 5 7 13 15 17 27 33 35 37 45 47 57 65 67
(if (2 - x) <= 0 then loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) else (((((2 + 2) + 1) * x) * 2) + 1))
A267940: 1 11 11111 1111111 111111111 11111111111 1111111111111 111111111111111 11111111111111111 1111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x - 2),0),(x - 1),(((((2 + 2) + 1) * x) * 2) + 1))
A243534: 1 11 1111111111111111111 4611686018427387903
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x + 1) * x) + 1) * 2))),x) * 2) + 1)
A114269: 1 5 11 19 25 31 35 61 65 79 89 91 109 131 145 151
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x + 1) * x) + 2) * 2))),x) * 2) + 1)
A114273: 1 3 7 11 13 27 31 39 49 53 57 59 71 77 81 83
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * 2)))),x) * 2) - 1)
A024897: 3 5 11 15 17 21 27 29 35 39 45 47 53 69 71 75
(loop(\(x,i).((((x * x) + 1) * x) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A131992: 31 121 781 2801 16105 30941 88741 137561 292561 732541 954305 1926221 2896405 3500201 4985761 8042221
(loop(\(x,i).(x - ((2 - (x * x)) * (x * 2))),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1)
A297491: 9 44 234 664 2628 4354 9774 13660 24264 48690 59488 101194 137718 158884 207504 297594
(loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A137521: 245 345 545 745 1145 1345 1745 1945 2345 2945 3145 3745 4145 4345 4745 5345
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(x - (((x div 2) * x) div ((x + 2) + 1))))
A039734: 2 3 5 7 7 11 11 13 17 17 19 23 23 29 29 31
(if x <= 0 then 1 else ((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 1)) + (x * 2)) - 1))
A081495: 1 5 17 55 189 681 2519 9451 35765 136153 520695 1998745 7696467 29716025 115000947 445962899
(loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),x,1)) div ((x * 2) + 1))
A138552: 1 2 11 90 889 9723 113322 1380522 17382365 224573349 2962117366 39741658047 540862505806 7450655906450 103713126384420 1456845308244810
((loop(\(x,i).((x * 2) * 2),x,1) div loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) - ((x * 2) + 1))
A152737: 0 1 3 5 9 13 18 23 28 34 41 48 55 63 71 79
(if x <= 0 then 0 else ((((x div ((if (x mod 2) <= 0 then ((((x mod (2 + 1)) div 2) + 1) * 2) else 1) + 1)) + 1) - (x mod 2)) + 1))
A252759: 0 1 2 2 3 3 4 4 3 5 5 6 6 7 4 8
((((if x <= 0 then 0 else ((x div (((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1) + 2)) + 1)) + 1) - (x mod 2)) - 1)
A318995: 0 0 1 0 2 1 3 0 2 2 4 1 5 3 3 0
((((loop(\(x,i).(x * 2),x,((if ((x + 1) mod (2 + 1)) <= 0 then (x * 2) else 1) + 1)) mod (x + 1)) div 2) - (x mod 2)) + 1)
A329321: 1 0 2 0 2 2 2 0 3 2 2 2 2 2 6 0
((if x <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),((x - 1) div 2),1) * 2)) div ((x mod 2) + 1))
A089408: 1 1 2 1 2 2 4 5 10 14 28 42 84 132 264 429
(((if (x mod ((2 + 2) + 1)) <= 0 then ((((2 + 2) * 2) * (2 + 1)) - 1) else 1) * (if x <= 0 then 1 else 2)) div ((x mod 2) + 1))
A040539: 23 1 2 1 2 23 2 1 2 1 46 1 2 1 2 23
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x))),x) * 2) + 1)
A024903: 1 3 5 9 11 15 23 29 33 35 39 41 45 51 53 59
((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x))),x) * 2) - 1)
A111250: 1 3 7 9 13 21 27 31 33 37 39 43 49 51 57 67
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 2) * (x + 1)) + x))),x) * 2) + 1)
A081759: 1 5 7 11 13 19 25 29 35 37 41 47 49 53 55 61
(compr(\x.(((1 - loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)),x,((x + 1) * 2))) mod (x + 1)) - 1),x) + 1)
A119930: 1 2 3 4 6 7 8 9 11 12 13 15 18 20 21 22
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) * loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A053655: 1 1221 1233321 1234444321 1234555554321 1234566666654321 1234567777777654321 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1))
A064008: 2 33 555 7777 122221 1444443 18888887 211111109 2555555553 32222222219 344444444441 4111111111107 45555555555551 477777777777773 5222222222222217 58888888888888883
(compr(\x.(2 - ((0 - loop(\(x,i).(x * 2),x,(if (x mod (((1 - x) mod (2 + 1)) + 2)) <= 0 then 1 else 0))) mod (x + 1))),x) + 1)
A275718: 5 7 9 10 11 13 17 19 21 22 23 25 28 29 31 33
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))
A159461: 0 1 2 4 4 4 4 4 8 6 6 8 4 4 8 10
(compr(\x.(2 - (loop(\(x,i).(x * 2),x,((if ((x + 1) mod ((2 - (x mod 2)) + 1)) <= 0 then x else 1) - 1)) mod (x + 1))),x) + 1)
A324455: 6 10 12 14 15 18 20 21 22 24 26 28 30 33 34 36
(compr(\x.(loop(\(x,i).((x + 1) * x),1,(1 - (loop(\(x,i).((x * 2) + 1),(x * 2),2) mod (x + 1)))) mod (x + 1)),x) + 1)
A121912: 1 2 3 5 6 7 9 10 11 13 15 17 18 19 23 29
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) div (x + 1)) + x) + 1)
A090682: 4 4 6 8 10 12 15 16 20 20 23 24 26 27 28 30
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),x,loop(\(x,i).((((((i * 2) * 2) - 1) * x) * 2) div (i + 1)),x,1))
A254286: 1 96 14336 2523136 484442112 98180268032 20645907791872 4459516083044352 983075545417777152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * 2) + 1)) + x) + 2) * 2) * (x - 1)) + 1) * 2),x,1)
A002782: 1 2 34 5678 4611686018427387903
loop(\(x,i).((1 - ((((if x <= 0 then 1 else 2) + 1) * ((x * 2) + 1)) mod (((2 + 1) * 2) + 1))) + ((x + 1) * 2)),x,1)
A202349: 1 3 9 20 39 75 148 297 597 1196 2391 4779 9556 19113 38229 76460
loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * ((2 + 2) + 1)) + 1),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A002453: 1 35 966 24970 631631 15857205 397027996 9931080740 248325446061 6208571999575 155218222621826 3880490869237710 97012589464171291 2425317596203339145 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1))
A176246: 1 1 3 1 3 1 3 5 1 5 3 1 3 5 5 1
((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) + 1)
A178984: 3 3 5 3 5 3 5 7 3 7 5 3 5 7 7 3
(compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A046933: 0 1 1 3 1 3 1 3 5 1 5 3 1 3 5 5
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + 1)
A119912: 2 3 3 5 3 5 3 5 7 3 7 5 3 5 7 7
(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - (compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 1))
A135732: 2 1 3 1 3 1 3 5 1 5 3 1 3 5 5 1
(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (((x + 2) * x) + 1))
A186415: 1 4 72 2000 68600 2667168 112698432 5053029696 236860767000 11493303192800 573327757086656 29253930349198464 1521079361361956032 4611686018427387903 4611686018427387903 4611686018427387903
((((((loop(\(x,i).(((i div 2) + x) + (x * 2)),x,0) * (x - 1)) div 2) + 1) div 2) div 2) div loop(\(x,i).(x * 2),x,1))
A179111: 0 0 0 0 0 0 1 2 4 7 12 20 33 54 88 143
(((((loop(\(x,i).(if (i - x) <= 0 then 1 else (x + 2)),x,1) mod (x + 1)) - 1) mod ((x + 1) * (2 + 1))) - 1) div (x + 1))
A106347: 1 ~1 2 ~1 0 0 2 ~1 0 0 0 0 0 0 2 ~1
(((loop(\(x,i).(loop(\(x,i).((x + 1) * 2),x,2) * (((x + 2) + 2) + 2)),x,(2 + 2)) * (2 + 1)) - 1) * (x + 1))
A134806: 11 3718 4611686018427387903
((((((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(x * 2),(x div 2),(x mod 2))) + 1) div (2 + 1)) * 2) + 1) div (x + 1))
A165920: 1 0 1 1 2 3 6 10 19 33 62 112 210 387 728 1360
compr(\x.(((((loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1) * (x + 1)) div 2) + 1) mod (2 + 1)),(x + 1))
A090466: 6 9 10 12 15 16 18 21 22 24 25 27 28 30 33 34
compr(\x.(1 - (((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)) mod (x + 1)) div 2) mod (2 + 1))),(x + 1))
A034784: 3 5 8 9 11 14 15 20 21 23 26 29 33 35 39 41
((((((x * x) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + x) div 2) + 1) mod (x + 1))
A204187: 0 1 2 0 4 3 6 0 6 5 10 0 12 7 10 0
(loop(\(x,i).(((x + 1) * (2 + 1)) * (2 + 1)),2,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) mod (x + 1))
A114795: 0 1 0 1 1 3 3 1 0 1 6 9 2 1 6 1
loop(\(x,i).loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x * 2),1),1,(((x + 2) * (x + 1)) * (x + 1)))
A173866: 42 4861946401452 4611686018427387903
((if x <= 0 then 1 else (((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * 2)) * (x + 1))
A231407: 1 4 6
A129597: 1 4 6 16 10 24 14 64 54 40 22 96 26 56 90 256
((((if x <= 0 then 0 else (if (x mod (x - ((x - 1) mod ((2 + 2) * 2)))) <= 0 then ((2 + 2) + 1) else x)) + 1) * 2) - (x + 1))
A249591: 1 10 9 8 7 6 5 4 3 2 11 12 13 14 15 16
(((if (x mod (((x mod (2 + 2)) * 2) + 1)) <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 2) * (x + 1))
A162276: 3 6 15 12 15 30 63 24 27 30 33 60 39 126 255 48
(((((((loop(\(x,i).((if x <= 0 then (i + 1) else 0) + x),x,(1 - x)) * (x + 1)) div 2) div 2) + 1) * 2) * 2) div (x + 1))
A030788: 4 4 1 4 2 1 4 3 2 1 5 4 3 2 1 6
((((((x * x) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + x) div 2) + 2) mod (x + 1))
A201560: 0 0 0 1 0 4 0 1 7 6 0 1 0 8 11 1
(((((loop(\(x,i).(x + 1),(if x <= 0 then (2 + 1) else x),(2 + 1)) * (x + 1)) * (x + 1)) + 1) * (x + 2)) div (x + 1))
A079505: 14 25 61 121 211 337 505 721 991 1321 1717 2185 2731 3361 4081 4897
((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x * 2))) * (x + 1))
A153337: 1 4 24 136 720 3624 17584 83024 383904 1746280 7839216 34812144 153204064 669108496 2903267040 12526343584
(((x + 1) div (((((x + 1) div 2) div 2) + 2) - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x))) + 1)
A070081: 1 2 2 3 2 3 4 3 3 4 3 5 4 3 4 5
(loop(\(x,i).((2 + 1) * x),(((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x),1) * loop(\(x,i).((2 + 1) * x),x,1))
A344402: 1 9 81 2187 19683 177147 4782969 43046721 387420489 31381059609 282429536481 2541865828329 68630377364883 617673396283947 5559060566555523 150094635296999121
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(((((((2 + 1) * i) * ((2 + 2) + 1)) + 1) * x) div (i + 1)) + x),x,1))
A034996: 1 36 1632 81600 4308480 235530240 13189693440 751812526080 43438057062400 2536782532444160 149439552820346880 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).loop(\(x,i).((((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) + 1)),i,x),x,1)
A120307: 1 3 60 10500 18522000 359400888000 81408613942656000 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x + 1),loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) div 2)
A332150: 0 505 55055 5550555 555505555 55555055555 5555550555555 555555505555555 55555555055555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,(1 - loop(\(x,i).(((x - 2) * 2) * ((2 + 2) + 1)),x,0))) * 2)
A332142: 2 424 44244 4442444 444424444 44444244444 4444442444444 444444424444444 44444444244444444 4444444442444444444 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then loop(\(x,i).((x * 2) + 1),(x div (2 + 2)),1) else 0) + 1) div 2)
A134309: 1 0 1 0 0 2 0 0 0 4 0 0 0 0 8 0
(((loop(\(x,i).(((2 + 1) * x) + 1),x,1) div ((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) + 1) div 2)
A329008: 1 1 7 5 61 91 547 205 4921 7381 44287 33215 398581 597871 3587227 672605
(((((2 + 2) + 1) * 2) * 2) div (if (x mod (2 + 1)) <= 0 then (if (x mod 2) <= 0 then ((((2 + 2) * 2) * 2) - 1) else 1) else 2))
A331057: 1 10 10 20 10 10 1
((if x <= 0 then 0 else ((((loop(\(x,i).(((((2 mod (x + 1)) + 2) * 2) + 1) * x),x,1) + 1) * 2) div (2 + 1)) + 1)) + 2)
A222940: 2 7 33 273 2433 21873 196833 1771473 15943233 143489073 1291401633 11622614673 104603532033 941431788273 8472886094433 76255974849873
((((loop(\(x,i).(x * x),1,((loop(\(x,i).((x * x) * x),2,x) * (x * x)) + (2 + 1))) div 2) div (2 + 1)) + 1) div 2)
A274254: 1 1 350550 2615176875 1466017600854 198682173665365 10968475501587457 325818421703912376 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x + 1) div 2) - (((((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * 2) + 1) * 2) div (2 + 1)) - 1)) div 2)
A335607: 0 1 1 2 2 2 4 3 3 3 5 5 4 4 4 7
((((if x <= 0 then 1 else ((((loop(\(x,i).((x - i) * 2),x,2) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 1)) + 1) div 2)
A153452: 1 1 1 1 1 2 1 1 2 3 1 3 1 4 5 1
(((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x - 1) div 2) div (2 + 1)) + 1)) + 1) div 2) + 1) div 2)
A172237: 0 0 1 0 1 1 0 1 1 2 0 1 1 3 3 0
(1 - ((((((((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2))
A191781-A155092-A095133: 1 1 1 1 1 1 2 2 1 1 3 3 2 1 1 6
((((((loop(\(x,i).(((x div ((i mod 2) + 2)) + x) + 2),x,2) + loop(\(x,i).(x * 2),x,1)) div 2) + 1) div 2) + 1) div 2)
A290075: 1 1 2 3 5 8 14 24 44 80 152 288 560 1088 2144 4224
(1 - ((((if x <= 0 then 1 else ((if ((x - 1) mod (2 + 1)) <= 0 then ((x div (2 + 2)) + 2) else 1) * (2 + 1))) div 2) + 1) div 2))
A290976: 1 ~1 0 0 ~1 0 0 ~1 0 0 ~2 0 0 ~3 0 0
loop(\(x,i).(1 - x),x,(x div ((x div ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) + ((x mod (2 + 1)) div 2)) + 1)) + 2)))
A317531: 0 1 1 0 1 0 1 ~1 2 0 1 ~1 1 0 2 ~2
((((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x + 1),1) div loop(\(x,i).((2 + 1) * x),(x * 2),1)) div 2) + 1) div 2)
A227391: 3 4 5 7 9 13 17 22 30 40 53 71 95 126 168 224
((if x <= 0 then 2 else (((((2 - ((if (x mod (2 + 2)) <= 0 then 0 else 2) + (x div (2 + 2)))) mod (x + 1)) div 2) div 2) + 1)) div 2)
A029379: 1 0 0 0 0 1 1 1 0 1 1 1 2 1 2 2
((loop(\(x,i).(x * 2),x,(loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) div (2 + 1))) div ((2 + 2) + 1)) * 2)
A124723: 2 12 56 224 806 2688 8448 25344 73216 205004 559104 1490944 3899392 10027008 25401752 63504384
(if x <= 0 then 1 else (((((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2) * 2) div ((2 + 2) + 1)) + 2))
A159081: 1 2 3 2 4 3 5 2 3 4 6 3 7 5 4 2
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) div (if (x - (2 + 1)) <= 0 then 1 else (((2 + 2) + 1) * 2)))
A077648: 2 3 5 7 1 1 1 1 2 2 3 3 4 4 4 5
((loop(\(x,i).((((x * 2) div (if i <= 0 then 1 else i)) * (2 + 1)) + x),x,((2 + 1) * 2)) * (((x + 2) + 2) + 1)) div 2)
A027779: 15 126 588 2016 5670 13860 30492 61776 117117 210210 360360 594048 946764 1465128 2209320 3255840
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2)) + 1) div (2 + 1)) div 2)
A193622: 1 2 3 5 7 10
A002822: 1 2 3 5 7 10 12 17 18 23 25 30 32 33 38 40
((((loop(\(x,i).(if x <= 0 then 1 else (((((i * 2) - 1) * x) * 2) mod (i + 1))),x,0) + 1) * (x + 1)) mod (2 + 1)) * 2)
A005881: 2 2 0 4 2 0 4 0 0 4 4 0 2 2 0 4
(if x <= 0 then 1 else ((((x div ((x mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1)) + 2) div (2 + 1)) + 2))
A324183: 1 2 3 2 4 3 4 2 5 4 6 3 6 4 4 2
((((loop(\(x,i).((((x mod (2 + 1)) + x) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) div (2 + 1)) div 2) * (2 + 1)) * 2)
A321579: 0 0 6 36 132 540 2076 8316 32892 131580 524796 2099196 8390652 33562620 134225916 536903676
(if x <= 0 then 1 else (((x * 2) - ((1 - ((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) * 2)) div (2 + 1))) * 2))
A315186: 1 6 10 14 18 24 28 34 38 42 46 52 58 62 66 70
loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (((((((((x + 2) + 2) + 2) + 1) * x) * (x + 2)) div 2) div (2 + 1)) * 2)))
A100313: 1 16 96 400 1408 4480 13312 37632 102400 270336 696320 1757184 4358144 10649600 25690112 61276160
(x div (((((if (x mod (2 + 2)) <= 0 then 0 else (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x)) + (x mod 2)) + 2) * (2 + 1)) div 2))
A340732: 0 0 0 0 1 0 1 0 2 1 2 0 4 0 3 2
((compr(\x.(2 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1))),x) * (2 + 1)) - 2)
A138694: 1 4 7 10 16 19 22 25 31 37 40 46 49 52 61 64
(((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x) * 2) + 1) * 2)
A186299: 2 6 14 18 26 30 50 54 74 78 86 90 98 114 134 138
((if x <= 0 then 0 else ((2 - ((x * 2) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) div 2)) mod (((x * 2) + 1) * 2))
A307170: 0 0 0 12 0 21 0 24
(((loop(\(x,i).(loop(\(x,i).(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1,i) + x),x,1) - x) - 1) * 2)
A076178: 0 0 0 2 2 4 6 10 10 12 14 18 20 24 28 34
((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * 2)
A332146: 6 464 44644 4446444 444464444 44444644444 4444446444444 444444464444444 44444444644444444 4444444446444444444 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) * (x + 2)) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) div 2)
A230325: 3 24 240 1008 6600 13104 39168 61560 133584 341040 446400 911088 1377600 1668744 2386848 3869424
((loop(\(x,i).(((x + 1) * x) div 2),1,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) mod (x + 1)) div 2)
A238618: 0 0 0 1 0 1 0 2 0 1 0 5 0 1 0 4
((x + 1) div (((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * 2),((x mod ((x div 2) + 1)) div 2),2)) - 1) mod (x + 1)) + 2))
A229878: 0 0 1 0 1 2
A324827: 0 0 1 0 1 2 1 0 1 1 1 2 1 2 3 0
loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) div (2 + 1)),1,(((((x + 2) + 2) + 2) * (x + 1)) div 2))
A234249: 15 210 1365 5985 20475 58905 148995 341055 720720 1426425 2672670 4780230 8214570 13633830 21947850 34389810
(loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,1) + (((((x + 2) + 2) * (x + 2)) * (x + 1)) div 2))
A006504: 5 20 51 105 190 315 490 726 1035 1430 1925 2535 3276 4165 5220 6460
((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(2 + 1)) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) div 2)
A165151: 1 13 157 1825 20761 233173 2598517 28818985 318655921 3516744733 38764899277 426978842545 4700721921481 51735623710693 569285638838437 6263498473368505
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x))),x) + 1) * 2)
A309374: 2 4 6 10 12
A033868: 2 4 6 10 12 16 24 30 34 36 40 42 46 52 54 60
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x + 1) * 2) + 1) * x))),x) + 1) * 2)
A096174: 2 4 6 16 18 22 28 34 42 58 60 70 72 76 78 90
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * 2) * 2)
A332140: 0 404 44044 4440444 444404444 44444044444 4444440444444 444444404444444 44444444044444444 4444444440444444444 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * (((2 + 1) * 2) + 1)) + 2) + 2)
A059141: 11 18 11 25 11 18 11 32 11 18 11 25 11 18 11 39
(1 - ((((((loop(\(x,i).(((x + 1) * 2) - loop(\(x,i).(x * 2),x,1)),1,(x div 2)) + 1) div 2) div 2) + 1) div 2) * 2))
A147048: 1 1 1 1 1 1 1 1 3 3 5 5 13 13 29 29
((loop(\(x,i).loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2),2,(x + 1)) - 2) - 2)
A288775: 0 0 0 0 0 0 4 0 0 0 4 0 4 4 28 0
(x div (if (x - 1) <= 0 then 1 else (((x + 1) div ((if (x mod ((((x + 1) div 2) div (2 + 1)) + 1)) <= 0 then 1 else 2) * 2)) * 2)))
A136177: 0 1 1 0 1 2 1 1 1 2 1 1 1 2 2 0
(((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) + loop(\(x,i).((2 + 1) * x),x,1)) + 1) * 2) * 2) * 2)
A326576: 96 832 8080
(((((((loop(\(x,i).((x + 2) * x),1,loop(\(x,i).((i mod 2) + (x * 2)),x,0)) div 2) div 2) div 2) + 1) div 2) * 2) * 2)
A241684: 0 0 4 8 32 120 464 1848 7312 29240 116624 466488 1864592 7458360 29827984 119311928
((loop(\(x,i).(x * x),1,(((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) + 2)) div 2) div 2)
A281118: 1 1 1 2 1 2 1 4 2 2 1 6 1 2 2 12
((((if x <= 0 then 1 else (((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) div (2 + 1)) + 2)) + 2) + 2) + 2)
A192268: 7 10 11 12 13 14 15 17 18 20 21 22 23 25 27 28
(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - ((((2 + 2) * 2) * 2) * 2))
A153483: ~16 49 593 2369 14609 28529 83489 130289 279809 707249 923489 1874129 2825729 3418769 4879649 7890449
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (if (x div 2) <= 0 then ((x * 2) + 1) else ((2 + 2) * 2)))
A120700: 2 9 40 56 88 104 136 152 184 232 248 296 328 344 376 424
((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) + 2) mod ((2 + 2) * 2))
A165242: 5 7 5 3 7 3 5 1 7 5 3 7 5 1 7 5
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(x - ((x * x) div (((x + 2) + 2) + 2))))
A115732: 2 3 5 5 7 7 7 11 11 11 11 11 11 13 13 13
(((loop(\(x,i).(((2 + 1) * x) - 2),(x - 1),((2 + 2) + 1)) * loop(\(x,i).((x * 2) * 2),x,2)) + 2) div (2 + 2))
A233257: 3 10 104 1184 13952 166400 1992704 23896064 286687232 3439984640 41278767104 495341010944 5944075354112 71328837140480 855945777250304 10271348253261824
(2 - ((loop(\(x,i).((x - ((loop(\(x,i).(x * 2),x,2) mod (x + 2)) - 1)) mod (x + 1)),1,(x + 1)) + x) mod (2 + 2)))
A049340: 1 1 1 0 1 1 0 0 1 2 1 0 0 1 1 0
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 2)))
A332115: 5 151 11511 1115111 111151111 11111511111 1111115111111 111111151111111 11111111511111111 1111111115111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 2)))
A332126: 6 262 22622 2226222 222262222 22222622222 2222226222222 222222262222222 22222222622222222 2222222226222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) * (x * x)) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138439: 8 81 1250 7203 73205 171366 668168 1172889 3078251 9901934 13852815 33734898 56515220 71794821 112232663 205152506
(loop(\(x,i).(((x * x) * x) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138432: 12 108 1500 8232 79860 184548 707472 1234620 3212088 10243380 14299680 34646652 57893640 73464468 114620592 209023308
(loop(\(x,i).((((x * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138424: 15 120 1560 8400 80520 185640 709920 1238040 3218160 10255560 14314560 34671960 57928080 73504200 114672480 209097720
(loop(\(x,i).(((((x + 2) * x) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A229738: 14 63 425 1519 8591 16393 46529 71839 151823 377609 491071 987049 1480961 1787983 2542559 4092713
(loop(\(x,i).(((((x * x) * x) + 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A297027: 18 126 1575
(loop(\(x,i).(((((x * x) * x) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138431: 14 117 1550 8379 80465 185562 709784 1237869 3217907 10255154 14314095 34671294 57927260 73503297 114671399 209096342
((((if x <= 0 then 0 else ((x div (((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1) + 2)) + 1)) + 1) - (x mod 2)) div 2)
A339823: 0 0 1 0 1 1 2 0 1 1 2 1 3 2 2 0
(((((if x <= 0 then 2 else ((x mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1)) div 2) + 1) + (x mod 2)) div 2)
A320439: 1 1 0 2 0 1 0 3 0 1 0 2 0 1 1 5
((if x <= 0 then 1 else ((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 2))
A023645: 0 0 1 1 1 2 1 2 2 2 1 4 1 2 3 3
(compr(\x.(((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) mod ((2 + 2) + 1)) - 1),x) + 2)
A244737: 2 5 6 9 11 13 14 16 18 20 21 23 26 27 30 32
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) * (2 + 1)) - 1))),x) * 2)
A024911-A024906: 2 4 8 12 14 18 20 22 30 34 42 44 48 54 58 60
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - (1 - ((x * 2) * (2 + 1)))))),x) * 2)
A024905: 4 6 10 16 18 28 30 34 40 48 54 60 64 66 70 78
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((2 + 1) * 2) + 1) * x) + 1))),x) * 2)
A111367: 0 2 6 8 12 14 18 24 32 36 38 44 54 56 62 66
((((x * 2) * 2) * 2) mod (loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),x,1) mod ((x * 2) + 1)) + 1),2,x) div 2))
A110620: 0 0 0 0 0 0 0 0 0 0 3 0 0 6 8 0
(if x <= 0 then 1 else ((((x * 2) * 2) - ((((if ((x div (2 + 1)) - 2) <= 0 then 2 else (x div 2)) mod (x + 1)) div 2) + x)) * 2))
A315344: 1 6 10 16 22 28 34 40 46 50 56 62 66 72 78 84
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) + ((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 2 else x) div 2))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A329191-A167773-A127566-A103146-A049545: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 59
(compr(\x.((((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + 1) * (2 + 1)) div 2) mod 2),x) + 2)
A024704: 4 7 9 11 13 15 20 21 22 24 25 27 30 31 33 36
((((((loop(\(x,i).((((x * 2) * 2) div (if i <= 0 then 1 else i)) + x),x,((x + 2) + 1)) + x) + 2) * x) + 2) + x) div 2)
A133718: 1 13 81 325 995 2541 5698 11586 21825 38665 65131 105183 163891 247625 364260 523396
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2))
A086874: 2187 78125 823543 19487171 62748517 410338673 893871739 3404825447 17249876309 27512614111 94931877133 194754273881 271818611107 506623120463 1174711139837 2488651484819
((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) div 2)
A028334: 1 1 2 1 2 1 2 3 1 3 2 1 2 3 3 1
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) - 2)
A262777: 8 97 995 9993 99989 999987 9999983 99999981 999999977 9999999971 99999999969 999999999963 9999999999959 99999999999957 999999999999953 9999999999999947
loop(\(x,i).((((x * x) * x) * (x * x)) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138412: 32 486 12500 100842 1610510 4455516 22717712 44569782 141599546 574312172 858874530 2496382452 4634248040 6174354606 10549870322 21746165636
loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138411: 48 648 15000 115248 1756920 4798248 24054048 46915560 147756048 594116040 886580160 2563852248 4747278480 6317944248 10774335648 22156470648
loop(\(x,i).(x - ((x mod (((2 + 2) + 1) * 2)) * 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A274698: ~2 ~3 ~5 ~7 9 7 3 1 17 11 29 23 39 37 33 47
loop(\(x,i).(((((x * x) * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138408: 62 726 15620 117642 1771550 4826796 24137552 47045862 148035866 594823292 887503650 2565726372 4750104200 6321363006 10779215282 22164361076
((0 - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A091803: 1 2 0 1 10 9 8 4 21 11 26 11 23 5 43 6
loop(\(x,i).((((((x * x) + 1) * x) + 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135182: 44 279 3275 17199 162503 373659 1425059 2483319 6449039 20536379 28659903 69395979 115926803 147089799 229451039 418347179
loop(\(x,i).((((((x * x) + 1) * x) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135181: 36 261 3225 17101 162261 373321 1424481 2482597 6447981 20534697 28657981 69393241 115923441 147086101 229446621 418341561
loop(\(x,i).((((((x * x) - 1) * x) + 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135180: 28 225 3025 16513 159841 369265 1415233 2469601 6424705 20487601 28600321 69294673 115788961 146930785 229243393 418049425
loop(\(x,i).((((((x * x) - 1) * x) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135179: 20 207 2975 16415 159599 368927 1414655 2468879 6423647 20485919 28598399 69291935 115785599 146927087 229238975 418043807
loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138409: 60 720 15600 117600 1771440 4826640 24137280 47045520 148035360 594822480 887502720 2565725040 4750102560 6321361200 10779213120 22164358320
loop(\(x,i).(((((x * x) * x) - 1) * x) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A138410: 56 702 15500 117306 1770230 4824612 24132656 47039022 148023722 594798932 887473890 2565675756 4750035320 6321283542 10779111506 22164212252
loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A092759: 128 2187 78125 823543 19487171 62748517 410338673 893871739 3404825447 17249876309 27512614111 94931877133 194754273881 271818611107 506623120463 1174711139837
(loop(\(x,i).(((((i * 2) - 1) * x) + 2) * 2),x,2) div (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A245901: 1 2 10 74 667
loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A028302: 2 6 25 98 462 1716 7293 27170 111826 487084 1822366 7696444 30458900 115000920 455657715 1873956510
(compr(\x.(2 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) - (x div 2)))),x) div 2)
A158806: 0 2 3 4 6 7 11 12 13 14 16 20 23 24 25 27
((if (x mod 2) <= 0 then ((((x mod ((2 + 1) * 2)) * (((2 + 2) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) mod (x + 2))
A340081: 1 1 2 1 4 1 6 1 4 1 10 1 12 1 2 1
((loop(\(x,i).(((((2 + 2) + 1) * x) div (if i <= 0 then 1 else i)) + x),x,(x + 2)) * (((x + 2) + 2) + 1)) div (x + 2))
A027765: 5 36 147 448 1134 2520 5082 9504 16731 28028 45045 69888 105196 154224 220932 310080
loop(\(x,i).loop(\(x,i).(((((x * 2) * (2 + 1)) * (2 + 1)) div (i + 1)) + (x * 2)),x,((2 + 2) + 1)),1,(x * 2))
A054332: 5 440 16016 366080 6223360 85995520 1018716160 10711072768 102385254400 905301196800 7501067059200 58822597017600 439993025691648 3158924287016960 21879051958353920 146801380881858560
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) div 2) + 1) + (x * 2))
A163059: 2 5 10 15 23 31 42 50 67 72 89 97 114 122 127 144
compr(\x.((loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)),1,(x - ((2 - x) div 2))) + 1) mod (2 + 1)),(x * 2))
A331831: 3 11 15 23 29 35 43 47 53 59 63 71 77 83 91 95
(x - loop(\(x,i).(x - ((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) - 1)),1,(x div 2)))
A284389: 1 2 4 5 9 10 12 13 15 16 20 21 25 26 30 31
(((if x <= 0 then 0 else (if (x mod ((((((2 + 1) * 2) mod ((x div 2) + 1)) + 1) mod 2) + 2)) <= 0 then 2 else 1)) + 1) - (x mod 2))
A078314: 1 1 2 2 2 1 3 1 3 1 2 1 3 1 2 2
(((((if (if ((x + 2) mod (((x - 1) mod (2 + 1)) + 1)) <= 0 then 1 else 0) <= 0 then x else 0) + 1) div (2 + 1)) + 1) + (x mod 2))
A293247: 1 2 1 3 1 4 3 2 1 5 1 6 5 2 1 7
((((((((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(i * x),(x div 2),1)) div 2) div 2) + 1) div 2) * 2) + 1) + (x mod 2))
A018251: 1 2 3 6 9 18
A091326: 1 2 3 6 9 18 31 64 123
(((if x <= 0 then (2 + 1) else (((if ((x mod ((x mod 2) + 2)) - 1) <= 0 then 1 else (x * 2)) div (2 + 1)) + 1)) + 2) * (x mod 2))
A132748: 0 3 0 3 0 6 0 3 0 3 0 10 0 3 0 3
((if (x mod (2 + 2)) <= 0 then ((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) else ((2 + 1) * 2)) + (x mod 2))
A040606: 25 7 6 7 50 7 6 7 50 7 6 7 50 7 6 7
((((if (x mod 2) <= 0 then ((2 - (x mod (2 + 2))) * (((2 + 2) * 2) + 1)) else 1) + 1) * (if x <= 0 then 1 else 2)) + (x mod 2))
A040348: 19 5 2 5 38 5 2 5 38 5 2 5 38 5 2 5
(((if (x mod ((2 + 2) * 2)) <= 0 then ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) else 1) * (if x <= 0 then 1 else 2)) - (x mod 2))
A040854: 29 1 2 1 2 1 2 1 58 1 2 1 2 1 2 1
(compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) * (2 + 1)) + 1) * x))),x) * 2)
A155853: 0 2 8 16 20 28 32 40 46 50 58 62 68 76 82 98
(((if x <= 0 then 0 else ((x div ((x + 2) div ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2))) + 1)) + 1) + x)
A231407: 1 4 6
A075656: 1 4 6 6 10 12 14 10 12 20 22 18 26 28 30 18
((loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),(((x * 2) * 2) * 2),1) + 1) - x)
A053823: 2 111546435 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((x div (((2 + 2) * (2 + 1)) + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A219669-A109611-A086472: 2 3 5 7 11 13 17 19 23 29 31 37 41 47 53 59
((loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1) + loop(\(x,i).((x * 2) * 2),(x - 1),1)) * x)
A339240: 0 2 14 78 396 1910 8916 40684 182552 808614 3545220 15414212 66556584 285707708 1220340296 5189913240
((((((loop(\(x,i).((if x <= 0 then 1 else (((x mod 2) * x) + (x div 2))) + x),x,0) + 1) div (x + 1)) + 1) div 2) + 1) + x)
A211385: 2 3 4 5 6 8 10 12 18 30
loop(\(x,i).(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2),1,(((x div 2) div (((2 + 1) * 2) + 1)) + x))
A191376-A179429: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 59 61
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(((x div 2) div (((2 + 1) * 2) + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A049555: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 53 59
compr(\x.(if (x mod 2) <= 0 then 1 else (1 - (x mod ((((x mod (((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2) * 2) + 1)))),x)
A147956: 1 7 11 17 19 23 29 31 37 41 43 47 49 53 59 61
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((((x div 2) * 2) div ((2 + 2) + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A176162: 2 3 5 7 11 13 19 23 29 31 41 43 47 53 59 61
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(((x mod ((x div 2) + 1)) div (2 + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A165671: 2 3 5 7 11 13 17 23 29 31 37 41 43 53 59 61
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(((x mod ((x div 2) + 2)) div (2 + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A161929: 2 3 5 7 11 13 17 19 23 31 37 41 43 47 53 61
((((((if x <= 0 then 1 else ((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) + (x mod 2)) * 2)) + x) + x) + 2) div (2 + 1)) + x)
A231407: 1 4 6
A284654: 1 4 6 9 10 13 16 19 20 23 25 28 30 33 34 37
((((if x <= 0 then 1 else ((if (x mod 2) <= 0 then x else (((x - 1) * x) div (2 + 2))) * x)) + 2) div (2 + 1)) + ((2 + 1) * x))
A079541-A064435-A020488: 1 3 8 10 18 24 30
compr(\x.(((x - ((loop(\(x,i).((2 + 1) * x),x,1) mod loop(\(x,i).(((x * 2) + 1) * x),2,2)) - 1)) + (x * 2)) + 1),x)
A293715: 2 3 4 5 6 7 8 9 10 11 12 16 18 19 21 23
(((loop(\(x,i).((((x * 2) * 2) + 1) * 2),(x div 2),(x mod 2)) * (2 + 1)) + loop(\(x,i).((x + 2) * 2),x,1)) - x)
A066011: 1 8 20 63 126
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x))
A075527: 2 3 4 6 6 6 6 6 10 8 8 10 6 6 10 12
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x))
A075526: 1 1 2 2 4 2 4 2 4 6 2 6 4 2 4 6
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x))
A230846: 2 2 3 3 5 3 5 3 5 7 3 7 5 3 5 7
(loop(\(x,i).(x * x),1,((loop(\(x,i).((x * x) * x),(x * x),x) + ((((2 + 2) * 2) * 2) - 1)) * (x + 1))) + x)
A272674: 225 1025 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(loop(\(x,i).((x mod (2 + 1)) - 1),(x - 2),(if ((x + 2) mod ((((x mod 2) + 2) * 2) + 1)) <= 0 then 0 else 1)) * 2),x)
A154660: 3 4 5 6 7 8
A026436: 3 4 5 6 7 8 9 10 12 13 15 16 18 21 22 24
compr(\x.(if (x mod 2) <= 0 then 1 else (2 - (((((loop(\(x,i).(((x mod 2) * x) + (x div 2)),x,x) + 1) div 2) div 2) + 1) div 2))),x)
A039505: 17 21 23 25 31 33 37 41 45 49 55 61 67 73 83 91
compr(\x.(2 - ((x + 1) mod ((if (x mod (((if (x mod ((x mod 2) + 2)) <= 0 then 0 else 2) * (2 + 1)) + 1)) <= 0 then 0 else 2) + 2))),x)
A004613: 1 5 13 17 25 29 37 41 53 61 65 73 85 89 97 101
(if (x - (2 + 1)) <= 0 then (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) else ((((2 + 2) * 2) * 2) + x))
A320584: 2 3 5 7 20 21 22 23 24 25 26 27 28 29 30 31
((((((loop(\(x,i).((if ((x div (2 + 1)) mod 2) <= 0 then (2 + 1) else (x * 2)) + x),x,1) div 2) + x) + 2) div 2) * 2) - x)
A085453: 2 3 8 9 24 69
(x - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)))
A147966: 1 3 4 7 6 9 8 11 14 11 16 15 14 17 20 21
loop(\(x,i).(if x <= 0 then 1 else (((((((((x + 2) + 1) * x) div 2) * ((2 + 2) + 1)) + 1) div 2) + 1) * 2)),1,(x * x))
A008533: 1 12 72 272 762 1752 3512 6372 10722 17012 25752 37512 52922 72672 97512 128252
compr(\x.loop(\(x,i).(loop(\(x,i).(((x * x) * x) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1)),2,x) - 1),1,(x * x)),x)
A010435-A010398: 0 1 3 4 7 9 10 11 12 16 21 25 26 27 28 30
loop(\(x,i).(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + ((x mod ((2 + 2) + 1)) + 2)),(x - 1),0)
A021408: 0 0 2 4 7 5 2 4 7 5 2 4 7 5 2 4
loop(\(x,i).(i + x),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),0)
A107105-A100862-A098568-A088925: 1 1 1 1 3 1 1 6 6 1 1 10 21 10 1 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) mod (2 + 2)) + (if x <= 0 then 0 else 1))
A225043: 0 1 1 1 2 1 1 3 3 1 1 4 1 4 1 1
((x div ((x mod ((x mod ((((2 + 2) * 2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) + 1)) + 1)) + 1)
A343250: 1 2 1 4 5 2 7 8 1 5 11 4 13 7 5 16
(loop(\(x,i).(x * 2),((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1),1) - 1)
A246674: 1 1 1 3 1 1 3 7 1 1 1 3 3 3 7 15
((x div ((x mod (((loop(\(x,i).(x * 2),x,(((1 - x) mod (2 + 1)) - (x mod 2))) - 1) mod (x + 1)) + 1)) + 1)) + 1)
A248101: 1 1 3 1 1 3 7 1 9 1 1 3 13 7 3 1
(loop(\(x,i).((i + x) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) - 1)
A285192: 0 0 0 0 2 0 0 5 5 0 0 9 14 9 0 0
((x mod (2 - (x div ((((2 - (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) div 2) div (2 + 1)) - 1)))) + 1)
A201059: 1 2 3 4 5 1 7 8 9 5 11 6 13 7 1 16
((x mod ((((x div (((x div (((if (x mod 2) <= 0 then x else 2) * (2 + 1)) + 1)) * 2) + 1)) + 1) mod (x + 1)) + 1)) + 1)
A132588: 1 1 1 1 1 1 1 4 1 5 1 2 1 2 1 1
((x div (((((if x <= 0 then 1 else (x mod ((((x + 1) div 2) div (2 + 1)) + 1))) * (2 + 1)) - 1) mod (x + 1)) + 1)) + 1)
A302788: 1 1 1 1 1 2 1 3 1 4 1 2 1 5 3 1
((x mod (((loop(\(x,i).(x - (((((x div (2 + 1)) * 2) + 1) div (2 + 1)) - 1)),2,x) + 1) mod (x + 1)) + 1)) + 1)
A096089: 1 1 1 1 1 1 1 1 1 10 1 1 2 2 3 3
((loop(\(x,i).(i - 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1) mod (((2 + 1) * 2) + 1)) + 1)
A138068: 2 2 2 2 7 2 2 7 7 2 2 7 1 7 2 2
((((x + 1) div 2) + 1) div ((if x <= 0 then 0 else (((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2) + 1)) + 1))
A124772: 1 1 1 1 1 2 1 1 1 3 3 3 1 2 1 1
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),x,((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1))
A156892: 1 46 529 48668 279841 12872686 148035889 27238603576 78310985281 3602305322926 41426511213649 3811239031655708 21914624432020321 1008072723872934766 4611686018427387903 4611686018427387903
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) - 1) * x),x,((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1))
A157499: 1 62 961 119164 923521 57258302 887503681 220100912888 852891037441 52879244321342 819628286980801 101633907585619324 787662783788549761 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x * 2) * (2 + 1)),x,1) mod (((((((2 + 2) * 2) * (2 + 1)) - 1) * 2) * ((2 + 2) + 1)) - 1))
A036162: 1 6 36 216 151 219 169 98 130 93 100 142 165 74 215 145
((((x mod ((((if (x mod (2 + 1)) <= 0 then (((x div (2 + 2)) mod 2) * 2) else 1) + 1) * 2) + 1)) + 1) div (2 + 1)) + 1)
A256106: 1 1 2 1 2 1 3 2 2 1 1 1 3 2 2 1
loop(\(x,i).(x * 2),(((((((((x * 2) - (x div (2 + 1))) * 2) + 1) * 2) * 2) div (2 + 1)) + 1) div (2 + 1)),1)
A101653: 1 4 16 32 128 256 512 2048 8192 16384 32768 131072 262144 1048576 4194304 8388608
(((if x <= 0 then 0 else (((((1 - (x div 2)) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + x) div 2) + 1)) * (2 + 1)) + 1)
A088744: 1 4 7 7 10 13 13 13 16 19 22 22 22 25 25 25
(((2 + 2) * 2) mod ((((if (x mod (2 + 2)) <= 0 then 1 else (x mod ((x mod 2) + 2))) * ((x * 2) + 1)) div (2 + 1)) + 1))
A069971: 0 0 0 0 0 0 0 2 2 0 0 8 8 8 0 0
((((loop(\(x,i).((x * x) * x),1,(x - (1 - (((x + 1) * 2) * (2 + 1))))) - 1) * (x + 1)) * (2 + 1)) + 1)
A134161: 373 10363 61723 210901 539041 1151983 2180263 3779113 6128461 9432931 13921843 19849213 27493753 37158871 49172671 63887953
loop(\(x,i).((x * 2) * (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A158116: 1 1 1 1 6 1 1 36 36 1 1 216 1296 216 1 1
loop(\(x,i).(((x * 2) * 2) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176642: 1 1 1 1 8 1 1 64 64 1 1 512 4096 512 1 1
loop(\(x,i).((i * 2) + (x + 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A082046: 1 1 1 1 5 1 1 11 11 1 1 19 29 19 1 1
loop(\(x,i).((x div 2) + (x * 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176420-A139332-A099927: 1 1 1 1 2 1 1 5 5 1 1 12 30 12 1 1
loop(\(x,i).(((x div 2) * i) + 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A268079-A268056-A202549: 1 1 1 1 2 1 1 4 4 1 1 8 18 8 1 1
loop(\(x,i).((x + 2) mod (i + 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A157654: 1 1 1 1 0 1 1 2 2 1 1 4 0 4 1 1
loop(\(x,i).(((2 + 2) + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A118190: 1 1 1 1 5 1 1 25 25 1 1 125 625 125 1 1
loop(\(x,i).(((i + 2) * 2) + x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A082110: 1 1 1 1 7 1 1 15 15 1 1 25 37 25 1 1
loop(\(x,i).(((2 - x) div 2) * i),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A342936: 1 1 1 1 0 1 1 2 2 1 1 0 4 0 1 1
(2 - loop(\(x,i).((2 - i) * i),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1))
A092450: 1 1 1 1 1 1 1 2 2 1 1 5 10 5 1 1
(((1 - ((((((if (2 - x) <= 0 then x else 0) + 1) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1) div 2)) mod (2 + 1)) + 1)
A332089: 1 1 2 1 1 2 3 1 2 1 3 2 1 1 2 3
(if x <= 0 then 0 else (((((((x div ((x mod (x - ((x + 1) mod (2 + 2)))) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A196046: 0 1 2 2 2 2 3 3 2 2 2 3 3 3 2 4
((((((loop(\(x,i).(x * 2),x,1) - (((x div ((x mod 2) - 2)) + 1) mod (2 + 1))) * 2) + 1) * 2) div (2 + 1)) + 1)
A130625: 1 4 7 11 20 41 85 172 343 683 1364 2729 5461 10924 21847 43691
(if x <= 0 then 1 else ((((x + 1) * 2) - ((1 - ((((x * x) * (2 + 2)) div ((2 + 2) + 1)) + 2)) div (2 + 1))) + 1))
A084806: 1 6 9 12 16 20 25 31 37 43 50 58 66 75 84 94
(((((loop(\(x,i).i,(((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)),1) - 1) * (x + 1)) div 2) div (2 + 1)) + 1)
A219727: 1 1 1 1 1 1 1 2 2 1 1 5 9 3 1 1
(((((1 - (loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * (2 + 1)))) mod (x + 1)) + 2) div (2 + 1)) + 1)
A327163-A326193: 1 2 2 2 2 3 2 2 2 4 2 5 2 4 6 2
((((if x <= 0 then 1 else (((x * 2) - ((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1))) * 2)) + 2) mod (2 + 1)) + 1)
A103682: 1 1 2 1 2 1 2 1 2 3 1 2 1 2 1 2
(((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * 2) * 2) * 2) div (2 + 1)) + 1)
A317144-A050336: 1 1 1 3 1 3 1 6 3 3 1 9 1 3 3 14
((((((((loop(\(x,i).((x * x) * x),x,((2 + 2) + 1)) + 1) div (2 + 1)) div 2) + 2) + 2) * 2) * (2 + 1)) + 1)
A104049: 31 151 1953151 4611686018427387903 4611686018427387903 4611686018427387903
((x div ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1))) + 1)
A334762: 1 1 2 2 3 2 4 2 3 3 6 2 7 4 4 4
(((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 2),(x + 1),2) * (2 + 1)) div 2) div (((2 + 2) * (2 + 1)) + 1))
A037630: 2 21 189 1703 15330 137970 1241732 11175591 100580319 905222873 8147005860 73323052740 659907474662 5939167271961 53452505447649 481072549028843
((((((if (x - 1) <= 0 then 0 else (((x mod ((((x div 2) + 1) div 2) + 1)) div 2) + 1)) + 1) * 2) + x) div (2 + 1)) + 1)
A039728: 1 2 3 3 3 4 4 4 5 5 6 6 6 6 8 7
((((((((loop(\(x,i).(x - (x div ((x mod (0 - 2)) - 2))),x,1) + 1) div 2) + 1) div 2) + 1) + 1) div (x + 1)) + 1)
A285001: 4 2 2 1 1 1 1 1 2 2 2 2 3 4 5 6
((loop(\(x,i).((x * 2) + 1),((((x + 2) * x) div 2) mod ((x div ((x div (2 + 2)) + 2)) + 1)),1) mod (x + 1)) + 1)
A303809: 1 2 2 4 2 4 2 4 4 4 2 8 2 4 4 16
(compr(\x.(x mod (((loop(\(x,i).(x * 2),(x div ((x mod ((x mod 2) + 2)) + 2)),1) + x) mod (x + 1)) + 1)),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A092579-A054403: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 49
(((((((1 - (x * 2)) mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1) * 2) - 1) mod (x + 1)) + 1)
A318316: 1 2 2 4 2 4 2 8 4 4 2 8 2 4 4 8
((loop(\(x,i).(x * x),1,((((((2 + 2) + 1) * 2) * ((2 + 2) + 1)) * (((x * 2) * 2) + 1)) - 1)) * 2) - 1)
A157628: 4801 124001 403201 842401 1441601 2200801 3120001 4199201 5438401 6837601 8396801 10116001 11995201 14034401 16233601 18592801
((x + 1) div (((if x <= 0 then 0 else ((((((((x - 1) div 2) * (x div 2)) div 2) + x) * 2) mod (2 + 1)) + 1)) * 2) + 1))
A029255: 1 0 0 1 1 0 2 1 1 2 2 2 4 2 3 5
((((((x mod ((((if (x mod ((2 + 2) * 2)) <= 0 then 1 else (x mod 2)) * 2) * (2 + 1)) + 1)) + 1) div 2) + 1) div 2) + 1)
A303755: 1 2 1 2 1 3 1 1 2 2 1 2 1 3 1 2
((((((x mod ((loop(\(x,i).((x * 2) + 1),(2 + 1),((x mod 2) * 2)) mod (x + 1)) + 1)) + 1) div 2) + 1) div 2) + 1)
A261787: 1 2 1 2 2 3 1 3 1 2 2 4 2 2 3 3
(((((((((if (x mod (((2 + 2) + 1) * 2)) <= 0 then (x + 2) else 0) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) - 1)
A088469: 0 0 0 0 0 0 0 0 0 1 17 1 1 1 1 1
(if x <= 0 then 0 else (((x + 1) div ((((((x + 1) div ((x div (((x mod 2) + 2) + 2)) + 2)) + 1) div 2) + 1) * 2)) + 1))
A096198: 0 1 1 2 2 2 2 3 3 2 3 3 4 3 3 3
loop(\(x,i).(i + x),(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2),1)
A156184-A126770: 1 1 1 1 2 1 1 4 4 1 1 7 16 7 1 1
((((((((loop(\(x,i).((((x div 2) div (2 + 1)) + x) + 2),x,1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A186964: 1 2 2 3 4 6 9 12 16 21 28 36 47 60 76 96
((loop(\(x,i).((x div ((x mod 2) + 1)) * x),1,((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) div 2) + 1)
A172279: 1 1 1 1 2 1 1 3 2 1 1 2 6 2 1 1
(x div ((if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 2) * ((x mod (((2 + 2) + 1) * 2)) + 1)))
A343103: 0 0 0 0 0 0 0 0 0 0 10 2 2 1 2 2
loop(\(x,i).(((((x div (2 + 2)) * 2) + 1) * 2) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A160721: 1 4 4 12 4 12 12 28 4 12 12 28 12 28 28 60
loop(\(x,i).((((2 + 1) * 2) + (2 div (x + 1))) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A151791: 1 7 7 42 7 42 42 252 7 42 42 252 42 252 252 1512
loop(\(x,i).((x * 2) * (2 + 1)),((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)),1)
A151784: 1 1 6 1 6 6 36 1 6 6 36 6 36 36 216 1
loop(\(x,i).(((x * 2) * 2) * 2),((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)),1)
A151786: 1 1 8 1 8 8 64 1 8 8 64 8 64 64 512 1
loop(\(x,i).(((2 + 2) + 1) * x),((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)),1)
A151780: 1 1 5 1 5 5 25 1 5 5 25 5 25 25 125 1
((((loop(\(x,i).((x div ((2 + 2) + 1)) + x),x,((2 + 2) + 1)) * (x + 1)) div 2) + 1) div (((2 + 1) * 2) + 1))
A239100: 0 1 1 2 3 4 6 8 10 13 17 22 28 37 47 59
(((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x) div ((((2 + 2) * 2) * 2) - 1)) * (((2 + 1) * 2) + 1))
A266387: 0 0 0 0 0 7 42 147 392 882 1764 3234 5544 9009 14014 21021
((1 - (((x mod (((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) * 2) + 1)) + 1) div (2 + 1))) mod (((2 + 1) * 2) + 1))
A293486: 1 1 0 1 1 0 1 1 0 0 1 1 1 6 0 1
((((((loop(\(x,i).((i + x) * x),2,(2 + 2)) + 1) * (x + 1)) + 1) * 2) * (2 + 1)) * (((2 + 1) * 2) + 1))
A157740: 18564 37086 55608 74130 92652 111174 129696 148218 166740 185262 203784 222306 240828 259350 277872 296394
(loop(\(x,i).((((x * x) * x) * (x * x)) * (x * x)),(x + 1),(((2 + 2) + 1) * 2)) div (((2 + 1) * 2) + 1))
A242824: 1428571 4611686018427387903
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (if (x mod (2 + 1)) <= 0 then 2 else 1))
A329331: 0 0 0 0 1 0 0 2 2 0 0 3 8 3 0 0
loop(\(x,i).((2 + 1) * i),((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2),1)
A054120: 1 1 1 1 3 1 1 6 6 1 1 9 18 9 1 1
(((if x <= 0 then 1 else ((((x div (((((2 - x) mod (2 + 2)) + 1) mod (x + 1)) + 2)) + 1) - (x mod 2)) + 1)) div 2) + 1)
A062843: 1 1 2 2 2 2 3 2 2 2 3 2 3 3 4 2
(x - (((((loop(\(x,i).((x * 2) * 2),x,((2 + 2) + 1)) mod (((x + 1) * 2) + 1)) - 1) mod (x + 1)) div 2) - 1))
A084841: 1 2 2 4 4 4 5 6 7 8 8 9 9 10 11 14
((((loop(\(x,i).(x * 2),x,(1 - (((x mod ((x mod ((2 + 2) + 1)) + 2)) mod 2) * 2))) - 1) mod (x + 1)) div 2) + 1)
A247074: 1 1 1 2 1 2 1 4 3 4 1 4 1 6 2 8
((((((((loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + 2),x,1) * (x + 1)) div 2) div 2) div 2) + 1) div 2) div 2) + 1)
A122130: 1 1 1 2 2 3 4 5 7 9 11 14 18 22 27 34
((((((if (x mod 2) <= 0 then x else 0) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) * 2) + 1)
A046571-A046568: 1 1 1 1 1 1 1 5 5 1 1 9 5 9 1 1
((compr(\x.(loop(\(x,i).((x - i) * x),2,((2 + 2) * 2)) mod (x + 1)),x) + 1) * (((((2 + 2) + 1) * 2) * 2) + 1))
A086794: 21 42 63 84 126 147 168 189 252 294 336 378 441 504 567 588
((((((x - (if ((x div 2) - 2) <= 0 then ((x div ((2 + 2) + 1)) - 1) else 1)) + x) * ((2 + 2) + 1)) div 2) * 2) + 1)
A323354: 5 15 25 35 45 51 55 65 75 85 95 105 115 125 135 145
(((loop(\(x,i).((x * 2) - (((x - ((((x div 2) div (2 + 1)) * (2 + 1)) div 2)) div 2) - 1)),x,1) div 2) div 2) + 1)
A147659: 1 1 2 3 5 8 13 21 34 55 90 146 237 385 625 1015
(((loop(\(x,i).(((((x + 1) div (1 - ((2 + 2) * 2))) mod 2) + x) + ((x * 2) * (2 + 1))),x,1) div 2) div 2) + 1)
A046635: 1 3 15 99 689 4817 33713 235987 1651903 11563315 80943201 566602401 3966216801 27763517603 194344623215 1360412362499
(((x - ((x * x) - (1 - (((1 - (loop(\(x,i).((2 + 1) * x),(x div 2),2) + x)) * (x + 1)) div 2)))) div 2) + 1)
A129881: 2 2 6 6 22 24 90 100
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),(((2 + 2) + 1) * x),1) * (((((2 + 2) * 2) * 2) * 2) - 1))
A324268: 31 4992581 804060162631 129494693251885181 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)) div (2 + 1)) div ((((2 + 2) * 2) * 2) + 1))
A119027: 0 1 2 4 9 18 36 72 145 291 582 1164 2329 4658 9316 18632
(((loop(\(x,i).(((x * 2) * 2) * 2),(x div 2),(((x mod 2) * 2) + 1)) + 1) div (2 + 1)) mod (((2 + 2) * 2) + 1))
A156227: 0 1 3 8 3 1 0 8 6 1 6 8 0 1 3 8
(loop(\(x,i).((x * 2) * 2),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((((x mod 2) * 2) * 2) + 1))
A269695: 1 5 4 20 4 20 16 80 4 20 16 80 16 80 64 320
((x mod 2) - ((((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1) * 2) - 1) div ((2 + 2) + 1)))
A228368: 0 0 0 ~1 0 0 0 ~4 0 0 0 ~1 0 0 0 ~11
(((((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) * 2) * (2 + 1)) mod (x + 1)) mod ((2 + 2) + 1))
A057108: 0 0 0 2 0 0 0 2 3 0 0 1 0 0 0 4
((if (x mod 2) <= 0 then 1 else (((x mod (((x mod (((x mod (2 + 2)) + 1) * 2)) + 1) * 2)) + 1) * 2)) mod ((2 + 2) + 1))
A089612: 1 4 1 3 1 4 1 1 1 4 1 3 1 4 1 2
((((x mod ((if (x mod ((x mod 2) + 2)) <= 0 then 1 else (x div (2 + 2))) + 1)) + 1) mod (x + 1)) + (x div ((2 + 2) + 1)))
A007828: 0 1 1 2 1 3 2 3 2 3 3 5 3 4 3 5
loop(\(x,i).(i * x),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1)
A321789: 1 1 1 1 2 1 1 6 6 1 1 24 720 24 1 1
loop(\(x,i).(x * x),1,(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) - 1))
A008459: 1 1 1 1 4 1 1 9 9 1 1 16 36 16 1 1
loop(\(x,i).(x * x),2,(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) - 1))
A202750: 1 1 1 1 16 1 1 81 81 1 1 256 1296 256 1 1
((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 2),(x + 1)) * (x + 2)) div (((x + 2) + 2) + 1))
A002058: 2 14 72 330 1430 6006 24752 100776 406980 1634380 6537520 26075790 103791870 412506150 1637618400 6495886320
(((((((x div 2) div ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) * 2) * (x + 1)) div (2 + 1)) + 1) mod (2 + 1))
A344652-A335451: 1 1 1 1 1 2 1 0 1 2 1 2 1 2 2 0
((1 - (x mod ((((((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2) * (2 + 1)) + 1) mod (x + 1)) + 1))) mod (2 + 1))
A035145: 1 0 1 1 1 0 2 0 1 0 0 1 0 0 1 1
(((x mod 2) - ((loop(\(x,i).((((x * 2) div (i + 1)) + ((x * 2) * (2 + 1))) * 2),x,1) div 2) - 1)) mod (2 + 1))
A108921: 1 1 1 2 0 0 0 2 1 2 0 1 0 0 1 1
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((x - (x div ((2 + 2) * (2 + 1)))) div 2)) * 2)) * 2) + 1) div (2 + 1))
A315024: 1 5 9 15 19 24 28 33 37 43 47 52 57 61 67 71
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x - (x div (2 + 2))) + 1) div 2) div 2)) * 2)) * 2) + 1) div (2 + 1))
A137002: 1 5 11 15
A314029: 1 5 11 15 20 25 31 36 41 45 51 56 61 67 71 76
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((x - (x div (1 - ((2 + 2) * 2)))) div 2)) * 2)) * 2) + 1) div (2 + 1))
A312974: 1 4 9 13 19 23 28 32 36 41 45 51 55 60 64 68
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x div 2) mod (2 + 2)) + x) div (2 + 2))) * 2)) * 2) + 1) div (2 + 1))
A137002: 1 5 11 15
A314026: 1 5 11 15 20 25 29 35 40 45 51 55 60 65 69 75
((((((x - (x div ((2 + 2) * (2 + 1)))) div 2) + ((if x <= 0 then 1 else ((x * 2) * 2)) * 2)) * 2) + 1) div (2 + 1))
A314239: 1 5 11 17 23 28 34 39 45 51 57 62 67 73 79 85
((loop(\(x,i).(x * 2),1,(((1 - ((x * x) mod (((2 + 1) * x) + 2))) div (2 + 1)) + 1)) div (2 + 1)) mod (2 + 1))
A089617: 0 0 0 1 0 1 0 0 1 1 0 0 0 2 2 1
(((((((x div 2) div (2 + 1)) mod 2) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2))) + (((x * 2) + 1) div (2 + 1)))
A313774: 1 5 10 15 21 25 31 37 41 47 52 57 62 67 72 77
(((if x <= 0 then 1 else ((x * 2) * 2)) - (((2 - x) * 2) div (((2 + 2) * 2) + 1))) - (((x div 2) + 1) div (2 + 1)))
A058759: 1 4 8 13
A311685: 1 4 8 13 16 20 24 29 33 37 40 44 49 53 57 61
((((x mod ((((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) div 2) * (2 + 1)) + 1)) + 1) mod (x + 1)) mod (2 + 1))
A341595-A056169: 0 1 1 0 1 2 1 0 0 2 1 1 1 2 2 0
((((((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (x * 2) else (x div 2)) + 1) mod (x + 1)) + 1) * (x + 1)) mod (2 + 1))
A069850: 1 1 0 0 1 0 2 1 0 1 2 0 2 1 0 0
loop(\(x,i).(((x mod 2) + 2) * x),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A316801-A305223-A304263: 0 0 0 0 3 0 0 4 4 0 0 9 8 9 0 0
((if x <= 0 then 1 else (((((2 + 2) + 1) * x) - (x div (((2 - x) div (2 + 2)) - 2))) - 1)) + ((x + 1) div (2 + 1)))
A314159: 1 5 11 16 22 28 33 38 44 50 55 61 66 71 77 82
(((((x * x) div ((if ((x div 2) - 2) <= 0 then x else (x + 2)) + 1)) + ((x * 2) * 2)) + 1) - ((x + 1) div (2 + 1)))
A314884: 1 5 9 14 19 23 27 31 35 40 45 49 54 59 63 68
((x - ((((((x div 2) div (2 + 1)) mod 2) - x) div 2) - (if x <= 0 then 1 else ((x * 2) * 2)))) - ((x + 1) div (2 + 1)))
A315318: 1 6 10 16 21 26 31 36 41 46 52 56 62 68 72 78
((((if (x - 1) <= 0 then 0 else (((x div 2) div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)) + 1)) + 1) * 2) div (2 + 1))
A297167: 0 0 1 1 2 1 3 2 2 2 4 2 5 3 2 3
(((((loop(\(x,i).((x + 1) * x),1,(((x div 2) - ((x mod 2) * 2)) + 1)) + 1) div (2 + 1)) + 1) * 2) div (2 + 1))
A008798: 1 0 2 0 3 1 5 2 7 3 10 5 13 7 16 10
(((((((loop(\(x,i).((((x + 1) * x) div 2) div (2 + 1)),2,(x - 2)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A308954: 0 0 0 0 0 0 0 1 1 2 2 4 5 8 10 13
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((x - (((x div 2) div (2 + 1)) mod 2)) div 2) + 1) * 2) div (2 + 1)))
A315527: 1 6 11 17 22 28 34 40 46 51 57 62 68 74 79 85
((x - ((if (x mod (1 - (((x mod (2 + 2)) - (x div 2)) div (2 + 1)))) <= 0 then x else ((2 + 2) + 1)) div 2)) div (2 + 1))
A071285: 0 0 0 0 0 1 1 1 2 2 1 3 2 3 4 2
((((loop(\(x,i).(((((x * x) * 2) + 1) * (x + 2)) * (x + 1)),1,(x + 1)) div 2) div (2 + 1)) + 2) div (2 + 1))
A238702: 1 6 21 55 119 227 396 645 996 1474 2106 2922 3955 5240 6815 8721
(((((((((if ((x - 2) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + x) + 2) * 2) div (2 + 1)) + x) + 1) * 2) mod (2 + 1))
A230417: 0 1 0 1 2 0 2 1 1 0 1 2 1 2 0 2
((((((((loop(\(x,i).(x - (((x div (2 + 1)) - x) * 2)),x,1) div 2) div 2) + 1) div 2) + 1) * 2) * 2) div (2 + 1))
A003007: 1 1 2 4 8 17 38 89 208
((((loop(\(x,i).((x + 1) * 2),(((x mod ((2 + 2) * 2)) + 1) mod (x + 1)),1) mod (x + 1)) div 2) + 2) div (2 + 1))
A079135: 0 0 0 0 0 0 0 0 1 0 0 2 1 2 1 3
((if x <= 0 then 1 else (2 - (x mod ((((1 - ((x mod (((2 + 1) * 2) + 1)) * 2)) mod (x + 1)) + 2) + 2)))) mod (2 + 1))
A033798: 1 1 0 2 1 0 2 0 0 2 2 0 1 2 1 2
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1)))
A315748: 1 6 12 18 23 29 34 40 46 52 58 64 70 75 81 86
(((((if x <= 0 then 1 else (((((x div ((2 + 2) * 2)) * x) div ((2 + 2) + 1)) + x) + 2)) + 2) + 2) + 2) + (2 + 1))
A065206: 10 12 13 14 15 16 17 18 20 21 23 24 25 26 27 29
((((((((((loop(\(x,i).((x + 1) * x),2,x) div 2) div (2 + 1)) + x) div 2) * 2) + x) - 1) * x) div 2) mod (2 + 1))
A340683: 0 1 0 0 1 2 0 2 0 0 2 0 0 1 1 0
((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - (((((((1 - (x div 2)) mod (2 + 2)) + x) div 2) + x) * 2) div (2 + 1)))
A313826: 1 5 10 16 20 24 30 35 40 45 50 56 60 64 70 75
(((if x <= 0 then 1 else (((x - (x div ((2 + 2) + 1))) div (2 + 1)) + ((x * 2) * 2))) + x) - ((x * 2) div (2 + 1)))
A314887: 1 5 9 14 19 23 27 33 37 41 46 51 55 60 65 69
(((((loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + x),x,(2 + 2)) div (x + 1)) * 2) - 1) + x) mod (2 + 1))
A171774-A074941-A002324: 1 0 1 1 0 0 2 0 1 0 0 1 2 0 0 1
((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - ((((x - ((1 - (x div 2)) div (2 + 1))) mod (2 + 1)) + x) div (2 + 1)))
A314847: 1 5 9 14 18 24 28 32 38 42 47 51 56 61 65 70
((((((((if (x - 2) <= 0 then 1 else ((((2 + 2) * (x + 1)) - 1) * 2)) + x) + x) * 2) + 1) + x) + x) * (2 + 1))
A062231: 9 27 45 237
((((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * (2 + 1)) + x) div 2) + 1)
A285965: 4 10 14 17 24 30 37 40 44 50 54 57 64 67 71 77
((((((((if ((x div (2 + 1)) - 2) <= 0 then x else ((x + 2) + 2)) div (2 + 1)) + 2) * 2) div (2 + 1)) + x) * 2) - 1)
A325129: 1 3 5 9 11 13 15 17 19 25 27 29 31 33 37 39
(((((((((loop(\(x,i).(x * 2),((((x - 1) div 2) div 2) - 1),x) + x) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1)
A318736: 1 2 3 4 5 6 7 8 9 11 13 14 15 19 21 22
((((((((loop(\(x,i).((i + 1) * x),x,(x + 1)) * (((x + 2) * x) + 1)) div 2) div 2) + 1) div 2) + x) div 2) + 1)
A245897: 1 2 12 98 940
((x + 1) div ((loop(\(x,i).((x + 1) * 2),((1 - (x - (((x + 2) * 2) * (2 + 1)))) div 2),1) mod (x + 2)) + 1))
A335324: 1 1 1 4 1 1 1 4 9 1 1 4 1 1 1 1
(loop(\(x,i).(x * 2),x,(((((((x - (x div (0 - 2))) * (x + 1)) + 1) div 2) + 1) + x) + 2)) div ((x + 2) + 1))
A322059: 1 3 8 21 50 128
compr(\x.(1 - (x mod ((if x <= 0 then 1 else ((((x mod ((x mod 2) + 2)) + 1) * (2 + 1)) + (x mod 2))) + 1))),((x * 2) + 1))
A161580: 2 5 7 10 14 18 21 23 26 29 31 34 37 39 42 46
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(((x mod 2) * 2) + 1),(x + 2)) div 2) * ((x div 2) + 1))
A085047: 1 7 4 24 9 51 16 88 25 135 36 192 49 259 64 336
(((loop(\(x,i).(i * 2),(((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)),1) + 1) + (x mod 2)) - 1)
A101872: 1 2 1 3 1 2 1 5 2 2 1 3 1 2 1 7
((x + 1) div (((if x <= 0 then 0 else ((((((x mod 2) * 2) * 2) + 1) * 2) * ((x mod (2 + 1)) + 1))) + (x mod 2)) + 1))
A341978-A219200: 1 0 0 0 1 0 2 0 1 0 2 0 4 0 2 1
(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (x mod 2)) + 1)
A340273: 1 2 1 3 1 4 1 4 2 4 1 6 1 4 3 5
((((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) * ((x mod 2) + 1))
A023159-A023153: 1 2 2 2 2 4 3 2 3 4 3 4 3 6 4 2
((2 - (if x <= 0 then 1 else ((x mod 2) - ((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2)))) * ((x mod 2) + 1))
A069733: 1 2 2 2 2 4 2 2 3 4 2 4 2 4 4 2
(if x <= 0 then 1 else (compr(\x.(1 - (x mod ((x mod ((((x * 2) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 2)) + 1))),x) + 1))
A231407: 1 4 6
A228358: 1 4 6 8 10 12 13 14 16 18 20 22 23 24 26 27
loop(\(x,i).(compr(\x.(1 - (x mod (((((((x div (2 + 2)) + 1) div 2) * (2 + 1)) + 1) mod (x + 1)) + 2))),x) + 1),x,1)
A083505: 1 3 6 10 14
A269745: 1 3 6 10 14 18 23 29 36 44 52 60 68 76
(compr(\x.(loop(\(x,i).(x - (((((2 + 2) * (2 + 1)) - 1) * x) * x)),2,((x * 2) * (2 + 1))) mod (x + 1)),x) + 1)
A018434: 1 2 3 6 67 134 201 402
(compr(\x.(((loop(\(x,i).((((((x * 2) * 2) + 1) * 2) + 1) * ((x * 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1)
A222011: 1 2 4 8
A018473: 1 2 4 8 59 118 236 472
((((loop(\(x,i).(((((x * x) * x) + 1) * x) * (((x + 1) * x) + 1)),1,(x * x)) + 1) * (x + 1)) * x) + 1)
A104682: 1 15 32767 7174453 357913941 7629394531 94036996915 791260251657 5026338869833 25736391511831 111111111111111 417724816941565 1400638324962397 4265491084507563 11966776581370171 31278135027204241
(compr(\x.(loop(\(x,i).((((((x * x) * x) * (x * x)) + 1) * x) * ((x * 2) + 1)),1,(x * 2)) mod (x + 1)),x) + 1)
A018324: 1 2 3 6 31 62 93 186
(compr(\x.(loop(\(x,i).((((((x * x) * (2 + 2)) * 2) + (x mod (2 + 1))) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A097273: 1 2 3 4 6 8 9 12 15 16 18 24 27 30 32 36
(compr(\x.(loop(\(x,i).((((((((x * x) * 2) * ((2 + 2) + 1)) + x) * 2) + 1) * 2) * 2),2,x) mod (x + 1)),x) + 1)
A018500: 1 2 4 131 262 524
(((loop(\(x,i).(((((x * x) * (x * x)) + 1) * ((x * x) + 1)) * (x + 1)),1,(x * x)) * (x + 1)) * x) + 1)
A269442: 1 17 131071 64570081 5726623061 190734863281 3385331888947 38771752331201 321685687669321 2084647712458321 11111111111111111 50544702849929377 201691918794585181 720867993281778161 2345488209948553531 4611686018427387903
loop(\(x,i).((((((((x * x) * (x * x)) * (x * x)) div ((((2 + 2) + 1) * x) + 1)) + x) div 2) + 1) * 2),x,1)
A179056: 1 2 8 6402
(compr(\x.((((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) mod (x + 1)) - 2),x) + 1)
A225657: 1 2 3 4 5 6 7 8 9 11 13 16 17 19 23 25
loop(\(x,i).(((((((i * 2) - 1) * x) * 2) * ((2 + 2) + 1)) div (i + 1)) + ((((x * 2) * 2) * 2) * 2)),x,1)
A034789: 1 21 546 15561 466830 14471730 458960580 14801478705 483514971030 15955994043990 530899438190940 17785131179396490 599222112044281740 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((((((x mod ((((((2 + 2) * 2) * 2) mod (x + 1)) * 2) + 1)) mod 2) + 1) + x) div 2) + 2) * 2),x,1)
A315726: 1 6 12 18 22 26 30 34 40 46 52 58 64 70 74 78
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * (x + 1))
A066959: 0 2 3 8 5 12 7 24 18 20 11 36 13 28 30 64
compr(\x.((x mod (((loop(\(x,i).(x * 2),x,2) - (((x mod (2 + 1)) * (2 + 1)) div 2)) mod (x + 1)) + 1)) - 1),(x + 1))
A059877: 1 3 4 5 6 10 11 12 13 15 16 17 18 21 22 24
(((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) - 1) mod ((x + 2) + 1)) - 1) div (x + 1))
A298249: 1 ~1 0 0 0 ~1 1 0 0 0 0 0 0 0 ~1 1
((((loop(\(x,i).(x * 2),((x - ((x mod ((x div (2 + 2)) + 1)) div 2)) + 1),1) - 1) mod (x + 1)) + 1) * (x + 1))
A231407: 1 4 6
A123667: 1 4 6 16 10 24 14 64 36 40 22 96 26 56 60 256
(loop(\(x,i).(i * 2),(x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)),1) mod (x + 1))
A345344: 0 1 1 2 1 2 1 4 2 2 1 4 1 2 2 6
((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - ((x mod 2) * x)) - (x div 2)) + 1) mod (x + 1))
A137345: 0 1 2 2 3 0 4 4 5 0 6 7 7 0 9 8
loop(\(x,i).((((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2) * ((i * 2) - 1)) div (i + 1)),(x + 1),(x + 1))
A067636: 2 20 210 2352 27720 339768 4294290 55621280 734959368 9873696560 134510127752 1854385377600 25828939188000 362995937665200 5141806953167250 73343003232628800
compr(\x.loop(\(x,i).((x + 1) * 2),1,(1 - (x mod (((x mod ((((x - 1) mod (2 + 1)) + 2) * 2)) + 1) * 2)))),(x + 1))
A343217: 3 5 6 7 8 10 11 12 14 15 17 19 20 21 22 23
compr(\x.((x mod ((((loop(\(x,i).(x * 2),x,(2 - ((x div 2) mod 2))) mod (x + 1)) div 2) + (x mod 2)) + 1)) * 2),(x + 1))
A309374: 2 4 6 10 12
A132631: 2 4 6 10 12 16 18 20 22 24 28 30 36 40 42 46
(((if x <= 0 then 0 else (1 - (((x mod (((((x * x) mod (2 + 1)) + 2) * 2) + 1)) + 1) mod (x + 1)))) * 2) div (x + 1))
A031283: 0 1 0 0 0 0 ~1 0 ~1 ~1 ~1 ~1 ~1 ~1 0 0
compr(\x.(x - (((x div ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) + ((x mod (2 + 1)) div 2)) + 1)) + 2) * 2)),(x + 1))
A229461: 1 2 3 4 5 6 8 9 10 12 13 16 18 21 22 24
compr(\x.((((if (1 - (x mod (((x - 1) mod (((2 + 1) * 2) + 1)) + 1))) <= 0 then x else 0) + 1) div 2) mod (2 + 2)),(x + 1))
A032904-A032870: 1 2 3 4 5 6 7 8 14 15 16 21 22 23 24 28
(((((((x div ((if (x - (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + 2)) + 1) + (x * 2)) + 1) + x) - 2) + (x + 1))
A314707: 1 5 9 13 18 22 26 30 35 39 43 48 53 57 61 66
compr(\x.(x - (loop(\(x,i).((((x * x) * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1)),2,x) * 2)),(x + 1))
A072601: 1 2 3 5 6 7 9 10 11 12 13 14 15 19 21 22
((((((((loop(\(x,i).(((x * x) + 1) * x),1,((x * x) - 1)) + 1) * x) div 2) + 1) div 2) * x) div 2) * (x + 1))
A079240: 0 0 48 2344
((loop(\(x,i).((((x * 2) + 1) div (2 + 1)) - ((((x - 1) * x) div 2) div ((x + 2) + 1))),2,x) * 2) * (x + 1))
A226237: 0 4 6 8 20 12 28 32 36 40 66 72 78 56 90 64
((((((loop(\(x,i).(x - (x div (((2 - x) div (2 + 2)) - 2))),x,1) + 1) + x) * 2) div (2 + 1)) + x) + (x + 1))
A276217: 2 5 9 12 16 20 24 29 33 38 43 48 53 59 64 69
(loop(\(x,i).(((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + x),2,x) - (x - 1))
A318805-A180360-A175331: 1 1 1 1 2 1 1 3 2 1 1 5 4 2 1 1
(loop(\(x,i).((i * x) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),0) div 2)
A283522: 0 0 0 0 0 0 0 1 1 0 0 5 20 5 0 0
((if x <= 0 then 2 else ((x mod (((x div 2) div ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 1)) div 2)
A029382: 1 0 0 0 0 1 1 1 0 0 1 1 3 1 1 1
((loop(\(x,i).((x + 1) * i),((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1),1) + 1) div 2)
A256692: 1 1 1 3 1 1 1 11 3 1 1 3 1 1 1 44
((if x <= 0 then 2 else (((x - (((((x div (2 + 1)) * 2) * 2) div (2 + 1)) * 2)) mod ((x div (2 + 1)) + 1)) + 1)) div 2)
A035460: 1 0 0 1 0 1 1 0 1 1 1 2 1 2 2 2
(((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x + 2) + 1) else 0) div ((x div ((2 + 2) + 1)) + 1)) div 2)
A130209: 1 0 2 0 0 2 0 0 0 3 0 0 0 0 2 0
((((loop(\(x,i).(x * x),1,(((((x * x) * x) * (x * x)) * (x * x)) + (2 + 1))) div 2) div (2 + 1)) + 1) div 2)
A274253: 1 1 1430 399675 22377814 508665365 6530486977 56519001176 366504924502 1906401762732 8333338333334 31645829208856 106993223294977 328114730182533 926000621503254 2432743920878907
(loop(\(x,i).((((((((i * 2) + 1) * x) * 2) div (i + 2)) * 2) * ((i * 2) - 1)) div (i + 1)),(x + 1),1) div 2)
A000356: 1 5 35 294 2772 28314 306735 3476330 40831076 493684828 6114096716 77266057400 993420738000 12964140630900 171393565105575 2291968851019650
(2 - (x - ((((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1)) + ((x * 2) * (x + 1))) + 1) * 2)))
A239031: 4 11 28 59 110 189 306 473 704 1015 1424 1951 2618 3449 4470 5709
(((loop(\(x,i).((((((x * 2) + 1) div (((2 + 1) * 2) + 1)) + 1) + (x div (2 + 1))) + x),x,0) div 2) + 1) div 2)
A227047: 0 0 1 1 2 3 4 7 12 19 31 50 80 130 211 341
(((((loop(\(x,i).(x * 2),x,1) mod (((((((x div 2) mod 2) + x) div 2) + 1) - (x mod 2)) + 1)) + 1) div 2) + 1) div 2)
A094215: 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 2
(((((loop(\(x,i).((((x + 2) div (((2 - x) mod ((2 + 2) * 2)) + 2)) + 1) + x),x,1) div 2) + 1) div 2) + 1) div 2)
A239880: 0 1 1 1 1 1 2 2 3 3 5 5 7 7 10 11
((((((if x <= 0 then 1 else ((((((x * 2) * 2) * (2 + 1)) + (x mod 2)) * 2) - 1)) + x) * (x + 1)) div 2) + 1) div 2)
A222964: 0 13 37 76 124 189 261 352 448 565 685 828 972 1141 1309 1504
((if x <= 0 then 2 else ((((x - (((x + 1) div (((((2 + 2) + 1) * 2) mod (x + 1)) + 1)) - 1)) div 2) div 2) + 1)) div 2)
A029378: 1 0 0 0 0 1 1 1 1 0 1 1 2 2 2 2
((x + 1) div (if x <= 0 then 1 else ((((x + 1) div ((((((x + 1) * x) div 2) mod ((2 + 2) + 1)) + 2) + 2)) + 1) * 2)))
A043277: 1 1 1 2 1 1 1 2 2 1 1 2 3 2 1 1
(((compr(\x.(loop(\(x,i).(((x * x) * 2) * (x + 1)),2,2) mod (x + 1)),x) + 1) * ((((2 + 2) * 2) * 2) - 1)) * 2)
A143207-A069819: 30 60 90 120 150 180 240 270 300 360 450 480 540 600 720 750
((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2)
A080843: 0 1 0 2 0 1 0 0 1 0 2 0 1 0 1 0
((((((if (x mod ((2 - (x mod 2)) * 2)) <= 0 then (x mod ((2 + 2) * 2)) else 1) + 1) * 2) + x) div ((2 + 2) + 1)) * 2)
A005137: 0 2 2 2 4 2 4 4 4 4 4 6 8 6 6 6
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) div (((2 + 1) * 2) + 1)) * (2 + 1)) + 2)
A244480: 2 2 2 5 5 8 8 8 11 14 14 17 20 20 20 23
(((compr(\x.(loop(\(x,i).((x + 1) * 2),(((2 + 2) * (2 + 1)) * (2 + 1)),0) mod (x + 1)),x) + 1) * (2 + 1)) div 2)
A002977: 1 3 4 7 9 10 13 15 19 21 22 27 28 31 39 40
(((((loop(\(x,i).((x - (i - 1)) * x),2,(x + 2)) * ((x + 2) + 1)) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2)
A090448: 9 96 500 1800 5145 12544 27216 54000 99825 174240 290004 463736 716625 1075200 1572160 2247264
(((((2 - ((if (x mod (((1 - x) mod (2 + 1)) + 2)) <= 0 then 1 else 0) - (x mod 2))) mod (x + 1)) + 2) mod (2 + 1)) + 2)
A177864: 4 2 3 3 2 4 2 4 2 3 2 4 2 4 3 3
(2 - ((if (x - 2) <= 0 then 1 else 2) - ((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2))))
A265262: 1 1 2 0 1 1 2 0 1 1 2 1 2 2 3 0
(((((x div (((((if (2 - x) <= 0 then x else 2) + x) mod ((2 + 2) + 1)) + 2) * 2)) + 1) * 2) - (x mod (2 + 1))) div 2)
A029290: 1 0 0 1 0 1 1 0 1 1 2 1 2 2 1 4
(((((((((loop(\(x,i).i,(x - ((2 + 2) + 1)),1) + x) * (2 + 1)) div 2) * 2) + 1) + x) + x) div (2 + 1)) + 2)
A295581: 3 5 6 8 9 11 13 15 18 21 23 26 29
(((((((((x * x) * x) div (((loop(\(x,i).(x * 2),x,1) div (x + 1)) * 2) - 1)) + x) div 2) + x) div 2) + 1) div 2)
A095395: 0 1 2 2 3 4 4 4 4 4 4 5 5 5 5 6
(((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 2),(x + 1)) * (x + 2)) * ((x + 2) + 1)) div 2)
A055660: 15 168 1260 7920 45045 240240 1225224 6046560 29099070 137287920 637408200 2920488480 13233463425 59400885600 264475371600 1169259537600
(((x div ((if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 2) + 2)) + 1) - (((x div 2) + 1) div 2))
A264997: 1 1 0 1 1 1 1 0 1 2 1 0 1 1 1 2
((((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (2 + 2)) + 1) div (2 + 1)) * 2) * 2) + (x mod 2)) - 1) * 2)
A234648: 6 24 30 40 54 72 86 96 102 120 126 136 150 160 166 184
((compr(\x.((x + 1) mod ((((x mod ((((if (x mod (2 + 1)) <= 0 then 0 else 2) * 2) * 2) + 1)) * 2) * 2) + 1)),x) + 1) + 2)
A119888: 3 6 9 12 15 18 21 22 24 27 30 33 36 39 42 44
((((loop(\(x,i).((((2 + 2) * (x + 1)) - (((1 - x) * 2) div ((2 + 2) + 1))) - 1),2,x) div 2) + x) + 1) div 2)
A189459: 4 9 15 20 26 31 36 42 47 53 58 62 68 73 79 84
(((loop(\(x,i).(((i + x) + (x * 2)) + 2),((2 + 1) * 2),(2 + 1)) * (x + 1)) * (((x + 2) * x) + 1)) div 2)
A280428: 1729 13832 46683 110656 216125 373464 593047 885248 1260441 1729000 2301299 2987712 3798613 4744376 5835375 7081984
((((((((loop(\(x,i).(x * x),2,((x * x) * 2)) + 2) * (x + 1)) div (2 + 1)) + 1) * 2) + 1) * (x + 1)) * 2)
A288629: 6 108 49194
((((((loop(\(x,i).((((x div (2 + 2)) * (2 + 1)) div 2) + (x div 2)),2,x) + 1) div 2) * 2) + 1) mod (x + 1)) + 2)
A338451: 2 3 3 3 5 5 7 7 7 7 11 11 11 11 11 11
(((((((x * 2) mod (2 - (x div (1 - ((if (x - (2 + 2)) <= 0 then 0 else 2) + 2))))) div 2) * 2) + 1) mod (x + 1)) + 2)
A184995: 2 3 3 3 5 5 3 7 3 5 5 7 3 7 3 5
((loop(\(x,i).((((((((2 + 2) * 2) * 2) + 1) * x) * ((2 + 2) + 1)) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A017750: 1 87 3828 113564 2555190 46504458 713068356 9473622444 111315063717 1174992339235 11279926456656 99468442390512 812325612855848 6186171974825304 44186942677323600 297525414027312240
((loop(\(x,i).((((((((2 + 1) * 2) * (2 + 1)) + 1) * x) * (2 + 1)) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A017722: 1 59 1770 35990 557845 7028847 74974368 696190560 5743572120 42757703560 290752384208 1823810410032 10638894058520 58104729088840 298824321028320 1454278362337824
((loop(\(x,i).(((((((((2 + 2) * 2) * 2) * 2) - 1) * x) * (2 + 1)) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A017758: 1 95 4560 147440 3612280 71523144 1192052400 17199613200 219295068300 2509710226100 26100986351440 249145778809200 2200787712814600 18114175790089400 139737927523546800 1015428940004440080
((loop(\(x,i).((((x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)) * 2) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A017723: 1 60 1830 37820 595665 7624512 82598880 778789440 6522361560 49280065120 340032449328 2163842859360 12802736917880 70907466006720 369731787035040 1824010149372864
((loop(\(x,i).((((((((2 + 2) * 2) * (2 + 1)) * (2 + 1)) + 1) * x) div (i + 1)) + x),x,2) * (x + 1)) div 2)
A017738: 1 75 2850 73150 1426425 22537515 300500200 3477216600 35641470150 328693558050 2761025887620 21335200040700 152902266958350 1023269017336650 6431976680401800 38163061637050680
((loop(\(x,i).((x * 2) + 1),(x + 1),((((x + 1) * 2) * (x + 1)) * (2 + 1))) div (2 + 1)) div ((x + 1) * 2))
A333186: 2 8 24 64 161 385 899 2053 4617 10257 22559 49208 106601 229571 491884 1049258
(((((loop(\(x,i).(x - (x div (((2 - x) div (2 + 2)) - 2))),x,1) + 1) + x) * 2) div (2 + 1)) + ((x + 1) * 2))
A276219: 3 6 10 13 17 21 25 30 34 39 44 49 54 60 65 70
((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * (if x <= 0 then 1 else 2))
A134058: 1 2 2 2 4 2 2 6 6 2 2 8 12 8 2 2
(if x <= 0 then 1 else (((x + 1) div ((((((x + 1) div ((x div (((x mod 2) + 2) + 2)) + 2)) + 1) div 2) + 1) * 2)) + 2))
A072768-A071673: 1 2 2 3 3 3 3 4 4 3 4 4 5 4 4 4
((((((((x + 1) div (2 - (if (x mod ((2 + 2) + 1)) <= 0 then (x mod 2) else 0))) + 1) mod (x + 1)) div 2) + 1) div 2) + 2)
A194883: 2 2 3 3 3 2 3 3 3 4 4 4 4 4 4 2
((if x <= 0 then 1 else ((((((x mod ((x mod (((2 - (x mod 2)) * 2) + 1)) + 2)) + 1) mod (x + 1)) div 2) + 1) * 2)) div 2)
A345266: 0 1 1 2 1 2 1 2 3 2 1 3 1 2 2 2
((((((((loop(\(x,i).(x * x),1,((((x - 1) div 2) * x) div (2 + 1))) div 2) div 2) + 1) div 2) div 2) + 1) div 2) div 2)
A035548: 0 0 0 0 0 0 0 1 1 2 2 5 6 10 12 19
((((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x + 2) + 1) else 0) * (((2 + 2) * 2) + 1)) div 2) div 2)
A158897: 6 0 11 0 0 18 0 0 0 27 0 0 0 0 38 0
(((x div 2) + 1) div (((x + 1) div (((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * 2)) + 2))
A292598: 0 0 1 0 1 1 2 0 0 1 2 1 2 2 2 0
((loop(\(x,i).((x * 2) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),((2 + 2) + 1)) div 2) div 2)
A151789: 1 5 5 20 5 20 20 80 5 20 20 80 20 80 80 320
(if (x * 2) <= 0 then 2 else (((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) div 2) div 2))
A201363: 2 3 7
A061577: 2 3 7 12 18 26 35 45 56 69 83 98 114 131 150 170
loop(\(x,i).((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1,(x - (((x div ((2 + 2) + 1)) - 2) * 2)))
A203947: 1 0 0 1 1 1 1 0 0 1 0 1 2 1 0 1
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2))
A235803-A174802: 1 1 1 1 2 1 1 3 3 1 1 5 5 4 1 1
(x - ((((if x <= 0 then 1 else (((x mod (((2 + 2) * 2) + 1)) - x) * (((2 + 2) * 2) + 1))) * (2 + 1)) div 2) div 2))
A024655: 0 1 2 3 4 5 6 7 8 70 71 72 73 74 75 76
(((((if x <= 0 then 1 else (((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1) * 2)) * 2) div (2 + 1)) + 2) + 2)
A111653: 4 6 6 8 8 8 9 9 9 9 10 10 10 10 10 12
(((((((((if (2 - x) <= 0 then ((x div (2 + 2)) + 2) else 1) + x) * (2 + 1)) div 2) * 2) * 2) div (2 + 1)) + 2) + 2)
A079896: 5 8 12 13 17 20 21 24 28 29 32 33 37 40 41 44
((loop(\(x,i).(x * 2),((x div ((x div ((((x + 2) * x) mod ((2 + 1) * 2)) + 2)) + 2)) + (x mod 2)),1) div 2) div 2)
A053470: 0 0 0 1 0 2 0 2 1 4 0 4 0 4 1 4
((loop(\(x,i).((((((((2 + 1) * x) div (((2 + 1) * 2) + 1)) * 2) + x) div (2 + 1)) + x) + 1),x,1) div 2) div 2)
A201864: 0 0 0 1 2 3 6 10 16 27 44 71 116 188 304 493
((x mod ((((((((loop(\(x,i).(x * 2),x,1) mod (x + 1)) div 2) * 2) + (x mod 2)) * 2) + 1) mod (x + 1)) + 2)) div 2)
A328515: 0 0 1 1 0 1 0 1 0 0 0 1 0 2 1 0
((((((if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 1 else 0) - (x mod 2)) * (2 + 1)) mod (x + 1)) + 2) div 2)
A243561: 1 1 1 1 1 2 1 3 2 4
A300980: 1 1 1 1 1 2 1 3 2 4 1 5 1 6 1 1
(((((((if ((x div (2 + 1)) mod (2 + 1)) <= 0 then (x mod 2) else 0) + 1) * 2) - (x mod (2 + 1))) mod (x + 1)) + 2) div 2)
A218799-A078770: 1 1 1 2 1 1 2 1 1 3 1 2 2 1 1 2
((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + (x div 2)) div 2) + 1) * (2 + 1)) div 2) div 2) + (((x + 1) div 2) div 2))
A194813: 0 0 1 2 2 2 3 4 5 5 5 6 6 6 6 7
((x + 2) div (((((((x mod ((if (x mod (2 + 2)) <= 0 then (2 + 2) else 1) * 2)) + 1) div 2) * (2 + 1)) div 2) + 2) + 2))
A290983: 0 0 1 1 0 1 2 1 2 2 3 2 2 3 4 3
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) * 2) * 2)
A160429: 8 56 56 392 56 392 392 2744 56 392 392 2744 392 2744 2744 19208
((((((((loop(\(x,i).(x * x),(2 + 1),((x * 2) + 1)) div ((x * 2) + 1)) div 2) div 2) div 2) div 2) div 2) div 2) div 2)
A219090: 0 17 610 6433 37366 152243 490222 1334838 3205770 6983372 14071004 26600198 47683715 81721509 134764658 214942297
(((((x + 1) div 2) div 2) + 1) div (if x <= 0 then 1 else (((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) div 2) + 2)))
A029398: 1 0 0 0 0 1 0 1 0 1 1 1 1 0 2 1
(((loop(\(x,i).((((x * 2) div (((x div (2 + 2)) + 2) + 2)) + x) + 2),x,1) div (2 + 1)) + ((x * 2) * 2)) div 2)
A094065: 0 2 5 7 10 13 16 19 22 26 29 32 36 39 42 46
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) mod (2 + 2))
A125030: 0 1 1 2 1 2 1 3 2 2 1 3 1 2 2 0
((((((loop(\(x,i).(((((2 + 1) * x) + 2) * 2) * 2),2,(2 + 1)) * 2) + 1) * (x + 1)) - 2) + 1) div (2 + 2))
A096613: 268 536 804 1072 1341 1609 1877 2145 2414 2682 2950 3218 3487 3755 4023 4291
(compr(\x.(((if x <= 0 then 1 else 2) - (((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2)) - (x mod 2)),(x + 1)) + (2 + 2))
A076979: 12 13 15 17 20 21 22 23 24 25 26 27 28 29 30 31
((((((loop(\(x,i).(x * x),1,(((((x * x) * x) div 2) * (x + 1)) div 2)) div 2) div 2) div 2) + 1) div 2) div (2 + 2))
A092707: 0 0 0 10 100 540
(((((if x <= 0 then 2 else ((((x + 1) div (((((2 + 2) * 2) * 2) - x) + 1)) * 2) + 1)) + x) + x) + 2) div (2 + 2))
A334742: 1 1 1 2 2 3 3 4 5 5 6 7 7 8 10 12
(loop(\(x,i).((x + 1) * x),1,((((((x + 1) div ((x mod (2 + 2)) + 1)) mod 2) + (x div (2 + 1))) + x) * 2)) div 2)
A298856: 3 10 21 55 78 105 136 171 253 351 406 465 595 666 741 820
((((((((loop(\(x,i).((((x - (x div (2 + 2))) div 2) + x) + 2),x,2) div 2) + x) div 2) + 2) + 2) - x) div 2) div 2)
A206737: 1 1 1 1 1 2 3 4 5 7 10 14 20 28 39 54
(if (x - 2) <= 0 then 0 else (1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)))
A094495: 0 0 0 1 2 1 1 3 3 1 1 4 6 4 1 1
((((((((x + 2) * x) * 2) - 1) div (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + x) + 2) + 2)
A065940: 3 6 9 11 12 14 15 17 18 19 21 22 24 26 27 28
(((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 1),2) * (x + 1)) * (x + 2)) div ((x + 2) + 2))
A006659: 2 12 56 240 990 4004 16016 63648 251940 994840 3922512 15452320 60843510 239519700 942871200 3711935040
(if x <= 0 then 1 else ((((((((x - (x div ((2 + 2) * (2 + 1)))) div 2) * 2) + x) + 1) div (2 + 1)) + (x * 2)) * 2))
A310520: 1 4 10 16 22 26 32 36 42 48 54 58 62 68 74 80
(if x <= 0 then 1 else (((x - ((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1))) + (x * 2)) * 2))
A315731: 1 6 12 18 22 28 32 38 44 50 56 62 68 72 78 82
((compr(\x.(loop(\(x,i).(((2 - (x mod 2)) * x) * (x + 1)),2,((x div 2) + 1)) mod (x + 1)),x) + 1) + ((x * 2) * 2))
A315498: 1 6 11 16 22 28 34 40 46 51 56 62 68 73 78 84
((((((x - ((1 - (x div 2)) div (2 + 1))) mod (2 + 1)) + x) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2)))
A314142: 1 5 11 16 22 26 32 38 42 48 53 59 64 69 75 80
(((if (x - 1) <= 0 then 1 else (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) + (x mod 2)) * 2)) - (x mod 2)) * 2)
A308046: 2 0 0 2 0 2 0 6 4 2 0 2 0 6 4 2
((((((if ((x - 1) mod (2 + 2)) <= 0 then ((x * 2) * 2) else 1) * (x + 1)) div (((x mod 2) * 2) + 1)) + 1) + x) div 2)
A120716: 1 2 3 2 5 23 7
(((loop(\(x,i).(((x div ((x div ((x mod (((2 - x) mod (2 + 2)) + 1)) + 2)) + 2)) + x) + 1),x,1) + 1) + x) div 2)
A333309: 1 2 3 4 6 8 9 11 12 14 17 19 22 24 27 30
(((((((((if ((x div (2 + 1)) - 2) <= 0 then 2 else 1) + x) div 2) + x) * 2) + (((x + 1) div 2) div 2)) + 1) + x) div 2)
A189372: 1 3 5 7 10 11 14 16 18 20 21 24 26 28 30 33
(((((((loop(\(x,i).((x div (((2 + 2) * (i + 1)) - 1)) + x),2,x) + 1) + x) * (2 + 1)) div 2) div 2) + x) + 2)
A190087: 2 5 7 10 12 15 17 21 23 26 29 31 34 36 40 42
(if x <= 0 then 1 else (((((((((((x div (2 + 1)) mod 2) + x) * ((2 + 2) + 1)) div 2) + x) div 2) + x) div 2) + x) * 2))
A312656: 1 4 8 14 20 24 28 32 38 44 48 52 56 60 66 72
(loop(\(x,i).(i * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) mod (x + 2))
A174640: 1 1 1 1 1 1 1 2 2 1 1 6 10 6 1 1
(((loop(\(x,i).((((x * x) * (x + 2)) * (((x + 2) * x) + 1)) * 2),2,(2 + 1)) * (x + 1)) + 1) mod (x + 2))
A316786: 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 4
((((loop(\(x,i).((x - (((1 - (x * 2)) div ((2 + 2) + 1)) * (2 + 1))) - 1),x,2) div 2) * 2) - 1) - (x * 2))
A033943: 1 1 3 13 33 81 189
loop(\(x,i).(((((((((x + 2) div (2 + 1)) * (x div (2 + 2))) div 2) + 1) * (2 + 1)) div 2) div 2) + 1),2,(x * 2))
A010578: 1 1 1 1 2 2 2 2 4 4 7 10
((if x <= 0 then 1 else (((x * 2) - ((x div (((2 + 1) * 2) + 1)) - (x div (1 - ((2 + 2) * 2))))) * 2)) + (x * 2))
A310529: 1 4 10 16 22 28 34 38 42 48 54 60 66 72 76 80
((((((if x <= 0 then 1 else (((((x div 2) + (x * 2)) + 1) + (x div (2 + 1))) * 2)) + x) + x) + 2) + 2) + (x * 2))
A063223: 5 14 24 34 44 52 64 72 82 92 102 110 122 130 140 150
(((((x - 1) mod (((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 0) * ((2 + 2) + 1)) - 1)) div 2) + 1) + (x mod 2))
A070304: 1 2 1 2 2 2 1 2 1 6 1 2 1 2 3 2
((((((((((x * x) - 1) * x) div 2) div (2 + 1)) + loop(\(x,i).(x * x),1,((x + 2) * 2))) + 1) + x) + x) - 2)
A059605: 15 37 68 109 161 225 302 393 499 621 760 917 1093 1289 1506 1745
compr(\x.(((((loop(\(x,i).(x * 2),x,2) - 1) mod ((((2 + 2) * 2) * ((2 + 2) + 1)) + 1)) * 2) mod (2 + 1)) - 1),x)
A169968: 1 3 7 9 10 11 12 13 14 15 16 17 18 19 21 23
(((((((if x <= 0 then 1 else ((((x + 2) div (((2 + 1) * 2) + 1)) + 2) * 2)) + x) + 2) * 2) div (2 + 1)) - 1) + x)
A231407: 1 4 6
A327204: 1 4 6 8 9 12 14 16 17 19 21 22 25 27 29 30
(((((loop(\(x,i).(x * 2),x,1) mod ((x mod ((((x mod 2) * 2) * (2 + 1)) + 1)) + 1)) + 1) mod (x + 1)) + 1) + x)
A333694: 1 3 4 5 6 9 8 9 10 13 12 16 14 17 16 17
compr(\x.(1 - (x mod ((((x div 2) - (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 1) * 2) + 1))) mod (x + 1)) + 1))),x)
A154663: 3 5 6 7 10 11
A295307-A073803: 3 5 6 7 10 11 13 14 15 17 19 20 21 22 23 24
(((loop(\(x,i).((((x mod (((x mod (((2 + 1) * 2) + 1)) * (2 + 1)) + 1)) mod 2) + x) + 1),x,1) * 2) + 1) - x)
A285402: 3 6 9 12 13 14 15 16 19 22 25 28 31 32 33 34
((((((x - (((x div 2) div (2 + 1)) mod 2)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 1 else (((2 + 2) + 1) * x)))
A314144: 1 5 11 16 22 27 32 37 42 48 53 59 64 69 75 80
(((((((((((if (x mod (((2 + 2) * 2) + 1)) <= 0 then 0 else x) + 1) div 2) + x) * 2) + 1) + x) div 2) * 2) + 1) + x)
A118549: 1 8 11 18 21 28 31 38 41 38 51 58 61 68 71 78
(((((((loop(\(x,i).(((x div (2 + 2)) + x) + (2 + 1)),x,1) * 2) + 1) * 2) div (2 + 1)) + 1) div (2 + 1)) - x)
A105780: 1 1 2 3 5 7 10 14 19 26 35 46 61 79 102 131
compr(\x.(1 - ((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) - 1) * (x + 1)) div 2) mod (2 + 1))),x)
A161577: 2 3 4 6 7 8 9 10 12 14 15 18 19 20 21 24
((((loop(\(x,i).(((((x + 2) + 2) * (x + 2)) * (x + 1)) div 2),1,((x + 2) + 1)) * x) div 2) div (2 + 1)) - x)
A092327: 0 19 61 137 260 445 709 1071 1552 2175 2965 3949 5156 6617 8365 10435
compr(\x.((((compr(\x.(((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) - 1),x) + 1) + x) + 2) mod (2 + 1)),x)
A039084: 0 3 4 5 6 7 8 11 19 27 30 31 32 33 34 35
(((((if (x mod 2) <= 0 then (((x - ((x div (((0 - 2) - 2) - 1)) - 1)) * 2) + 1) else (0 - 2)) + x) div 2) + 1) - x)
A270439: 2 ~1 4 ~2 5 ~3 7 ~4 8 ~5 9 ~6 11 ~7 12 ~8
compr(\x.((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x - 1),((x * x) div 2)) div ((2 + 2) + 1)) mod 2),x)
A267414: 0 1 2 4 9 10 11 12 14 15 16 17 18 19 20 21
((((((((((x * x) * x) div loop(\(x,i).((x * x) * x),1,((2 + 1) * 2))) + x) + 1) + 1) + x) + 2) + 2) - x)
A120199: 6 7 8 9 10 11 13 14 16 18 20 23 26 29 32 36
((if x <= 0 then 1 else ((((((((((x * x) + 1) * x) div ((2 + 2) + 1)) + x) * (2 + 1)) div 2) + 1) + x) * 2)) + x)
A318790: 1 7 20 37 64 109
((((((((((((if (x - (2 + 2)) <= 0 then 1 else 2) + x) * (x + 2)) div 2) + 1) div 2) div 2) + x) div 2) + x) + 2) + x)
A094019: 2 5 7 10 14 17 21 24 28 32 36 40 44 48 53 57
compr(\x.((if (x mod 2) <= 0 then 1 else (((x + 1) div (((((2 - x) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1)) mod 2)) * x),x)
A082916: 0 1 3 5 7 9 11 13 17 19 23 25 27 29 31 37
(((if x <= 0 then 1 else ((x - ((((((x * x) div 2) div ((((2 + 2) * 2) * 2) - 1)) + x) div 2) * 2)) * 2)) + x) + x)
A071339: 1 4 4 8 8 12 12 12 12 16 16 16 16 16 16 16
((x mod ((x mod (((((x mod (((2 + 2) + 1) * 2)) * (((2 + 2) * 2) + 1)) - 1) mod (x + 1)) + 1)) + 1)) + 1)
A139378: 1 1 3 1 1 3 1 1 9
A109848: 1 1 3 1 1 3 1 1 9 1 11 3 1 1 3 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x + 2) div ((x mod ((2 + 2) + 1)) + 1))) + 1)
A307133: 1 1 1 1 2 1 1 4 3 1 1 7 9 4 1 1
(((((x + 1) div 2) div 2) div ((((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod (2 + 1)) + 1)) + 1)
A057820: 1 1 1 1 2 1 1 2 2 3 1 2 4 2 2 2
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div ((2 + 2) + 1)) * (2 + 1)) + 1)) + 1)
A197242: 1 1 1 1 2 1 1 5 5 1 1 8 15 8 1 1
(((0 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1))) mod (((x + 1) div (2 + 1)) + 1)) + 1)
A260876: 1 1 1 1 1 2 1 1 2 3 1 1 4 5 5 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((2 - x) div 2) * 2) div (2 + 1)) + 1)) + 1)
A180957: 1 1 1 1 1 1 1 0 0 1 1 ~2 ~5 ~2 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((2 - (x div 2)) div 2) mod (2 + 1)) + 1)) + 1)
A176388: 1 1 1 1 2 1 1 4 4 1 1 3 5 3 1 1
(x - (((x + 1) mod ((x mod ((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) + x) div 2) + 1)) + 1)) - 1))
A329004: 1 2 3 4 4 6 6 8 8 10 10 12 12 12 12 12
((x mod ((x div ((((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1) - (x mod 2)) + 1)) + 1)) + 1)
A343998: 1 2 1 4 2 2 3 8 4 2 5 4 6 4 3 16
(((x + 1) mod ((x div (((((x + 1) div ((((2 - x) div 2) div (2 + 1)) - 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 1)
A152443: 1 1 2 1 3 1 1 1 5 1 1 1 7 5 8 1
(((0 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) div ((((x * x) div 2) mod (((2 + 1) * x) + 1)) + 1)) + 1)
A115359: 1 ~1 1 0 0 1 0 ~1 0 1 0 0 0 0 1 0
((x mod (((x mod ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod (x + 1)) + 1)) div 2) + 1)) + 1)
A098824: 1 1 1 2 1 1 3 1 1 1 5 2 1 1 1 8
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x - (x mod ((2 + 2) + 1))) div 2) + 1)) + 1)
A086629: 1 1 1 1 2 1 1 4 4 1 1 7 13 7 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 + 1)) mod ((((x div 2) + 1) div 2) + 1)) + 1)
A305720: 1 1 1 1 2 1 1 1 1 1 1 4 3 4 1 1
((((2 + 2) + 1) mod ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1)) - 1)
A172088: ~1 ~1 ~1 ~1 0 ~1 ~1 0 0 ~1 ~1 4 4 4 ~1 ~1
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) mod ((2 + 2) + 1)) + 1)
A335174-A125605-A110570-A082905: 1 1 1 1 2 1 1 3 3 1 1 4 2 4 1 1
(((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * x) div ((2 + 2) + 1)) + 1)
A342061-A045995: 1 1 1 1 1 1 1 2 2 1 1 3 8 3 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div 2) div (2 - ((x div 2) mod 2))) + 1)) + 1)
A208510: 1 1 1 1 3 1 1 5 4 1 1 7 9 5 1 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (((x div 2) mod 2) + 1)) + 1)
A224698-A179749-A117935-A103462: 1 1 1 1 2 1 1 2 3 1 1 2 5 4 1 1
compr(\x.((x div (2 + 2)) mod 2),(((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) div (2 + 1)) + 1))
A293515: 1 1 1 2 1 1 1 3 2 1 1 2 1 1 1 10
(((((x + 1) div (((x div 2) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)) + 2)) + 1) mod (2 + 1)) - 1)
A304438: 0 1 1 ~1 1 ~1 1 1 0 ~1 1 1 1 ~1 0 ~1
((x div ((((((((x mod ((2 + 2) + 1)) + 1) mod 2) - (x mod 2)) + 1) + ((x div 2) mod 2)) + 1) * (2 + 1))) + 1)
A216612: 1 1 1 1 1 1 1 1 2 2 1 2 2 5 2 2
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div 2) mod 2) + x)) + 1) div (2 + 1)) + 1)
A147532: 1 1 1 1 2 1 1 4 4 1 1 5 9 5 1 1
((((((x + 1) div ((x div (((((x + 2) * x) mod ((2 + 1) * 2)) + 2) + 1)) + 1)) + 1) * 2) div (2 + 1)) - 1)
A293435: 0 1 1 2 1 3 1 2 2 3 1 3 1 2 3 3
(((((((((((x - (((x div 2) mod 2) - 1)) div 2) * (x + 1)) div 2) + 1) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A029069: 1 1 1 1 2 3 3 3 4 5 6 6 8 9 10 11
(((((((((((x + 1) * x) mod (((2 + 1) * 2) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A272647: 1 3 5 4 5 3 1 1 3 5 4 5 3 1 1 3
((((((((((2 + 2) * 2) + x) * ((x + 2) + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) + 1)
A224000: 9 31 76 155 281 469 736 1101 1585 2211 3004 3991 5201 6665 8416 10489
((x + 2) - ((((((((x mod ((2 - (x mod 2)) + 2)) + 1) + (x div (2 + 1))) + x) + 2) * 2) div (2 + 1)) - 1))
A344961: 1 1 1 2 2 1 1 2 3 2 1 2 3 2 2 3
(1 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((2 - x) div 2) * 2) div (2 + 1)) + 1)))
A254414: 1 1 1 1 1 1 1 2 2 1 1 4 7 4 1 1
(((((((((((((x div 2) + x) + 1) * (x + 1)) div 2) + 1) div 2) + 2) div (2 + 1)) + x) * 2) div (2 + 1)) + 1)
A325461-A051532: 1 2 3 4 5 7 9 11 13 15 17 19 23 25 29 31
(((x + 2) + 1) mod (((((x div (((((2 + 2) * 2) * 2) mod ((x div 2) + 1)) + 2)) + 2) + x) div (2 + 1)) + 1))
A229878: 0 0 1 0 1 2
A080776-A053646: 0 0 1 0 1 2 1 0 1 2 3 4 3 2 1 0
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * x) div ((x div 2) + 1)) + 1)
A156580: 1 1 1 1 2 1 1 4 4 1 1 6 7 6 1 1
(x - ((((x div ((x mod (((((x + 1) * x) div 2) mod (((x mod 2) + 1) * 2)) + 1)) + 1)) + 1) mod (x + 1)) - 1))
A094758: 1 1 3 4 5 3 7 8 9 5 11 8 13 7 15 16
(x div ((((((x + 1) div (((x mod (((x mod ((2 + 1) * 2)) * 2) + 1)) div 2) + 1)) div 2) + 1) mod (x + 1)) + 1))
A241918: 0 1 1 1 2 1 1 1 2 2 1 1 1 1 3 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) mod (x + 1)) + 1)
A211315: 1 1 1 1 3 1 1 5 5 1 1 7 2 7 1 1
(((((x + 1) div (((2 - (((x div ((2 + 2) + 1)) + x) mod ((2 + 2) + 1))) mod (x + 1)) + 1)) + 1) div 2) + 1)
A108939: 2 2 3 2 2 3 5 2 2 3 7 2 2 3 5 2
(((x + 1) * 2) - (((((((((x * x) * x) + 2) div (2 + 1)) + 1) mod (((2 + 1) * 2) + 1)) + 1) div 2) - 1))
A188029: 2 4 5 7 10 12 13 15 17 18 20 23 25 26 28 30
((((((((((x + 2) * 2) * (2 + 1)) + x) * (((x + 1) * 2) + 1)) div 2) div ((2 + 2) + 1)) + 1) div 2) - 1)
A027924: 1 4 8 14 21 30 40 51 64 78 93 110 129 148 170 192
((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) * ((x div (2 + 1)) + 1)) div (2 + 1)) + 1) div 2) + 1)
A345032: 1 1 1 1 2 2 1 3 3 2 1 4 6 4 3 1
((x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + 1)
A343652-A316365-A294894-A292886-A034836-A033273: 1 1 1 2 1 2 1 3 2 2 1 4 1 2 2 4
(((x - ((((x mod (((((x * 2) mod (((2 + 1) * 2) + 1)) * 2) * 2) + 1)) + 1) mod (x + 1)) - 1)) div 2) + 1)
A181988: 1 2 2 3 3 4 4 4 5 6 6 6 7 8 8 5
(((((((((x div ((((x - 1) mod (2 + 1)) + (x mod 2)) + 2)) + 1) + x) div 2) + 1) mod (x + 1)) + 1) div 2) + 1)
A087842: 1 1 2 3 3 3 4 4 4 4 6 5 6 6 6 6
((x + 1) div ((x div ((x div ((x mod (((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 2)) + 1))
A285708: 1 2 3 2 5 3 7 2 3 5 11 4 13 7 5 2
((((((((((((((x * x) div 2) - 1) div (2 + 1)) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1)
A098527: 1 1 1 2 2 2 2 3 4 5 7 9 11 13 16 20
((x + 1) div ((((x + 2) mod ((((((((x + 2) * x) mod ((2 + 1) * 2)) + 2) * 2) + 1) * 2) + 1)) * 2) - 1))
A342123: 0 0 0 0 0 0 0 0 0 0 11 0 2 0 0 0
(((((((((((x div ((((2 + 2) * 2) * 2) - 1)) + x) * 2) + 1) * (x div 2)) div 2) + 1) div 2) + 1) div 2) + 1)
A029008: 1 1 2 2 4 4 6 7 10 11 14 16 20 22 27 30
(2 div (((((((((x div 2) + 1) mod (((2 - (x mod 2)) * 2) * 2)) + 1) + (x mod (2 + 1))) div 2) + 1) div 2) + 1))
A277085: 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 2
((((x div ((((((2 - (x div (((1 - x) div (2 + 1)) - 1))) * 2) * 2) + 1) mod (x + 1)) + 2)) + 1) div 2) + 1)
A227156: 1 1 1 2 2 1 2 2 1 3 1 2 2 2 2 2
(x div (((x - (((x mod ((x - (x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1)))) + 2)) div 2) - 1)) div 2) + 1))
A057768: 0 0 1 1 2 1 2 2 2 2 1 2 3 1 1 1
((((((((((((((x div 2) * x) mod 2) + x) - 1) * ((x * 2) + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A027583: 1 1 1 2 2 3 3 4 5 6 7 9 10 11 13 16
((((((x + 1) mod (((((((x div 2) div (2 + 1)) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1)
A067390: 1 1 1 1 2 1 1 2 2 2 2 1 3 2 1 1
(((((((((((((((x div 2) + x) - 1) div 2) div 2) + 1) + 2) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1)
A071557: 2 3 4 5 6 7 9 10 11 14 15 16 19 20 24 25
(((((x mod (((x mod (2 + 1)) - ((1 - x) div ((((x + 1) div 2) div (2 + 1)) + 2))) + 2)) div 2) + 1) div 2) + 1)
A230643: 1 1 2 1 2 2 2 2 1 2 2 2 2 1 3 2
((((((((((((x * x) div (((2 + 1) * 2) + 1)) + x) div 2) + 1) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + 1)
A309999: 1 1 1 2 2 3 4 5 6 8 10 12 15 18 22 25
(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),(x + 1)) - (x - ((x mod (((2 + 2) + 1) * 2)) - 1)))
A265556: 0 1 2 3 4 5 6 7 8 10 10 20 30 40 50 60
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x + 2) div ((x mod ((2 + 2) + 1)) + 2))) + 1)
A258708-A113983: 1 1 1 1 2 1 1 3 3 1 1 5 7 4 1 1
(((((((((x * x) div (((((2 + 2) * 2) * 2) + x) + 1)) + x) * 2) + x) div (2 + 1)) * (2 + 1)) div 2) - 1)
A161720: ~1 0 2 3 5 6 8 11 12 15 17 18 20 23 26 27
(((((1 - (((((x div ((2 + 2) * 2)) + x) mod ((2 + 2) + 1)) * 2) - 1)) mod (x + 1)) div (2 + 1)) * 2) + 1)
A114278: 1 1 1 1 3 1 1 5 3 1 1 7 7 5 1 1
(x div (((x + 2) div ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 2)) + 1))
A122218: 0 0 0 1 1 1 1 2 2 1 1 3 4 3 1 1
((1 - (2 mod (1 - ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2)))) + 1)
A174373: 2 2 2 2 2 2 2 3 3 2 2 5 7 5 2 2
((x + 1) div (((((x * 2) + 1) div ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + (2 + 1))) * 2) + 1))
A172101: 1 0 1 0 1 1 0 1 1 1 0 1 2 2 1 0
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - (1 - ((x div 2) div (2 + 1))))) div 2) + 1)
A339285: 1 1 1 1 2 1 1 4 5 1 1 6 14 8 1 1
((2 - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) mod (((2 + 1) * 2) + 1))
A036238: 2 2 2 2 1 2 2 0 0 2 2 6 5 6 2 2
(((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) + 1)
A153766: 2 4 5 7 10 11 14 17 20 22 25 26 29 31 34 35
(((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) - 1)
A139487: 0 2 3 5 8 9 12 15 18 20 23 24 27 29 32 33
(((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * x) div 2) + 1) div 2) + 1)
A309876-A123610-A059922: 1 1 1 1 2 1 1 3 3 1 1 4 10 4 1 1
(((((((((((((x + 2) * x) div (2 + 2)) + x) * (x + 1)) div (2 + 1)) + x) div 2) + x) div 2) + 1) div 2) + 1)
A008772: 1 1 2 3 5 6 9 11 15 18 23 28 35 41 50 59
((x + 2) mod (x - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) - 1)))
A341314: 0 1 1 1 2 1 1 3 3 1 1 4 2 4 1 1
((((((((((((x div 2) - 2) * (x div 2)) mod (x + 1)) mod 2) + 1) - (x mod 2)) + 1) - (x mod 2)) + 1) * 2) - 1)
A122002: 5 1 5 3 5 1 7 3 5 1 5 3 7 1 7 3
(((((((((x + 1) div (((2 + 1) * 2) + 1)) + 1) * (x + 1)) div (((2 + 2) * 2) + 1)) + x) + 1) * 2) + 1)
A325372-A098903: 3 5 7 9 11 13 17 19 23 25 27 29 31 37 41 43
(((((((compr(\x.(1 - (x mod (((x mod ((x mod 2) + 2)) * 2) + 1))),x) * (2 + 1)) div 2) div 2) + x) + 1) div 2) + 1)
A231407: 1 4 6
A256792: 1 4 6 7 9 11 13 14 16 17 20 22 23 25 26 28
(((((x mod ((((((x * 2) * 2) mod ((((2 + 2) * 2) * 2) + 1)) + 2) * 2) + 1)) + 1) mod (x + 1)) * 2) + 1)
A137795: 1 1 1 1 1 1 1 1 1 3 1 1 1 15 1 1
(((((x mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)))) * 2) mod (x + 1)) div 2) + 1)
A227655-A225816: 1 1 1 1 1 1 1 2 1 1 1 6 4 1 1 1
((((((((((x div 2) * x) mod (1 - ((2 - x) div ((2 + 2) * 2)))) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1)
A056608: 2 2 2 3 2 2 2 3 2 2 2 3 2 2 5 2
(((((((x mod 2) - ((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) + 1)) mod (x + 1)) + 1) div 2) div 2) + 1)
A266348: 1 1 1 1 2 2 2 1 2 3 3 4 4 4 4 1
(((((((((((((x * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + 2) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1)
A259201: 1 1 1 2 2 3 4 4 5 7 8 9 11 11 14 16
((((((((((((((x * x) div (2 + 1)) + x) div 2) + 1) div 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1)
A058706-A027581: 1 1 1 2 2 3 4 5 6 8 10 12 15 17 21 26
(((((((((((x + 2) * x) div (((2 + 2) * 2) + 1)) + 2) * ((x + 1) div 2)) div 2) div 2) + 1) div 2) div 2) + 1)
A274146: 1 1 1 1 1 2 2 3 3 5 5 7 8 11 12 16
(((((((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)) * (((x div (2 + 2)) * 2) - 1)) div 2) div 2) + 1)
A025149: 1 0 0 0 1 1 1 1 1 2 2 3 3 4 4 6
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2)) + 1)
A026747: 1 1 1 1 3 1 1 4 4 1 1 6 11 5 1 1
(((((((((((((2 + 1) * 2) + 1) * ((x * 2) + 1)) + (x div 2)) + 2) * x) div 2) div 2) + 1) div 2) div 2) + 1)
A201993: 1 2 6 11 18 26 37 49 63 79 97 116 138 161 186 213
((((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) * (2 + 1)) div 2) * 2) + 1)
A319137: 1 1 1 1 1 3 1 3 1 3 1 9 1 3 3 7
(((x mod (((((((x div ((x mod (((x div 2) + 2) + 2)) + 1)) + 1) mod 2) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1)
A094006: 1 1 1 2 3 1 1 1 2 3 1 2 2 1 2 1
(((x + 1) div ((((((((x * x) * x) mod (((2 + 2) * (2 + 1)) - 1)) + 1) * 2) mod (x + 1)) + 2) + 2)) + 1)
A216665: 1 1 1 2 2 1 2 1 2 1 3 3 2 2 1 3
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) * 2) * 2) * 2) + 1)
A197364: 1 1 1 1 1 1 1 9 9 1 1 17 33 17 1 1
((((((x * x) mod (((((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) * (2 + 1)) + x) + 1)) + 2) div 2) div 2) + 1)
A316790-A294338: 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 5
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x + 1) div ((((x - 1) div 2) mod 2) + 2))) + 1)
A210341: 1 1 1 1 2 1 1 3 4 1 1 5 9 8 1 1
(((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) * (x + 1)) div 2) div 2) div 2) div 2) div 2) + 1)
A110540: 1 0 1 0 1 1 0 1 1 1 0 2 3 2 1 0
(((((((2 + 2) * 2) * ((2 + 2) + 1)) + 1) * (((x + 2) * x) + 1)) - 1) div ((((2 + 2) * 2) * 2) - 1))
A224837: 2 10 24 43 68 98 133 174 221 273 330 393 461 535 614 699
(((((x div ((x mod 2) + 2)) + 2) mod (2 + 1)) div 2) div ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1))
A232714: 1 ~1 0 0 0 0 ~1 0 0 1 0 0 0 0 0 0
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div ((2 - (x mod 2)) * 2)) + 2)) div 2) + 1)
A050447-A022818: 1 1 1 1 2 1 1 3 3 1 1 4 6 5 1 1
((((((((2 + 2) * (2 + 1)) - 1) * x) + (x div (((2 + 1) * 2) + 1))) * x) div 2) div (((2 + 2) * 2) + 1))
A152738: 0 0 2 5 9 15 22 30 39 50 61 74 88 104 121 139
((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (((2 + 2) * 2) + 1)) + 1) + (x mod (((2 + 2) * 2) + 1)))
A121760-A084011: 1 2 3 4 5 6 7 8 9 1 11 21 31 41 51 61
(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x + 1) div (((2 - ((x div 2) mod 2)) * 2) + 1)))
A192396: 0 0 0 0 1 0 0 2 1 0 0 4 4 2 0 0
(2 - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) mod ((2 + 2) + 1)))
A144431: 1 1 1 1 0 1 1 ~1 ~1 1 1 ~2 2 ~2 1 1
(((((((x + 2) * 2) - ((((x - 2) mod ((x div 2) + 1)) mod (2 + 1)) mod 2)) + x) * 2) - 1) * ((2 + 2) + 1))
A297150: 35 65 95 115 155 185 215 235 265 305 335 365 395 415 445 485
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * ((2 + 2) + 1)))
A131063: 1 1 1 1 6 1 1 11 11 1 1 16 26 16 1 1
(((x div (((x - (((x * x) - 2) div (((x + 2) + 2) + 2))) mod (2 + 1)) + 2)) + 1) + (x div ((2 + 2) + 1)))
A194816: 1 1 1 2 3 4 4 4 4 5 6 6 6 6 6 7
(2 - ((((x div (2 + 1)) div ((x div ((((1 - (x div (2 + 1))) mod (2 + 1)) + 2) * 2)) + 1)) + 1) mod (2 + 1)))
A228552: 1 1 1 0 1 1 2 2 0 0 0 0 0 0 0 2
(((((((((((2 + 2) * 2) * 2) * (x + 1)) div (2 + 1)) * 2) - 1) * (x + 1)) div (2 + 1)) + 1) mod (2 + 1))
A337518: 1 1 2 1 2 1 0 0 1 0 2 2 0 0 1 2
(((((((((((x + 1) * x) * (x + 1)) + 1) * (x + 1)) div 2) * (x + 2)) div 2) div (2 + 1)) + 1) mod (2 + 1))
A128521: 1 0 1 1 1 1 0 1 1 1 1 2 2 1 1 0
((((((((((((((x + 2) * (x + 2)) div 2) * x) div 2) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1) mod (2 + 1))
A317675: 1 1 1 2 2 0 1 0 1 1 0 1 2 0 2 2
((((((x mod ((x mod ((((x div 2) div ((2 + 2) + 1)) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1) mod (2 + 1))
A344606-A341592: 1 1 1 1 1 2 1 0 1 2 1 1 1 2 2 0
((((1 - (x mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1))))) * 2) + 1) div (2 + 1))
A199333-A181031-A089980: 1 1 1 1 2 1 1 3 3 1 1 5 7 5 1 1
(1 - (1 mod (1 - ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)))))
A197342: 1 1 1 1 2 1 1 5 5 1 1 8 11 8 1 1
(1 - (2 mod (2 - ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)))))
A086626: 1 1 1 1 1 1 1 3 3 1 1 6 9 6 1 1
(((((((((((((x + 1) * x) div 2) * (2 + 1)) + 1) * (x + 1)) div 2) + x) + 1) * x) div 2) + 1) div (2 + 1))
A259474: 0 1 6 21 55 120 231 406 665 1035 1540 2211
(((x * 2) * (2 + 1)) - (((((((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2)) + x) * 2) + 1) div (2 + 1)))
A137002: 1 5 11 15
A314048: 1 5 11 15 21 26 31 36 41 47 51 57 62 67 73 77
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) mod ((x div 2) + 1)) + 1) * 2) div (2 + 1))
A300646-A300465: 0 0 0 0 1 0 0 2 2 0 0 4 2 4 0 0
((((((((((1 - (((x * x) div (2 + 1)) + 2)) - 1) mod (x + 1)) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A254688: 0 0 0 1 1 1 0 2 1 1 2 2 1 2 2 1
((x - (((x div (2 + 1)) - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1)) * 2)) div (2 + 1))
A144001: 0 1 1 1 2 1 1 2 2 1 2 3 3 3 2 2
(((((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) * 2) + 1) * 2) div (2 + 1))
A144494-A136166: 0 0 0 2 0 2 0 3 2 2 0 3 0 2 2 4
((((((((x mod (((x - 1) mod (2 + 1)) + 2)) + 1) * ((x div (2 + 2)) + 1)) div 2) div 2) + 1) * 2) div (2 + 1))
A246369: 0 0 0 1 0 1 1 1 2 1 0 2 1 2 2 3
(((((((((2 + 1) * x) + 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) * 2) + x) + 1) * 2) div (2 + 1))
A022806: 3 8 12 16 20 25 30 33 38 42 46 50 55 60 63 68
(((((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * ((2 + 2) + 1)) + 1) mod (x + 1)) + 2) div (2 + 1))
A327164-A326194: 0 1 1 1 1 0 1 1 1 2 1 2 1 2 2 1
(((((((((2 + 2) * 2) * 2) + 1) * (x mod (((2 + 1) * 2) + 1))) * (x + 1)) * (x + 1)) div 2) mod (2 + 1))
A072612: 0 1 0 0 1 0 0 0 1 2 1 0 0 0 0 1
((((((((((((2 + 2) * 2) * 2) + x) + 1) * (x + 2)) * (2 + 1)) div 2) div 2) + (x + 1)) + 2) div (2 + 1))
A006624: 9 14 20 27 33 41 49 57
((((((((((x + 2) * 2) * ((2 + 2) + 1)) + x) * (x + 1)) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A007291: 7 63 254 710 1605 3157 5628 9324 14595 21835 31482 44018 59969 79905 104440 134232
((((((((((((2 + 1) * x) + 2) * (x + 2)) * 2) - 1) * 2) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1))
A024378: 5 59 254 730 1675 3325 5964 9924 15585 23375 33770 47294 64519 86065 112600 144840
((((((((((x + 2) + 1) * x) div 2) + (((x * 2) + 1) * 2)) + 1) * (x + 2)) * (x + 1)) div 2) * (2 + 1))
A207064: 9 81 288 720 1485 2709 4536 7128 10665 15345 21384 29016 38493 50085 64080 80784
(1 - (((x div ((x div (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1)) + 2)) * 2) mod (2 + 1)))
A053864: 1 1 1 ~1 1 1 1 0 ~1 1 1 1 1 1 1 0
(((((x + 1) mod ((((((x * 2) div (((2 + 2) * 2) + 1)) * (2 + 1)) div 2) * 2) + 1)) + 2) * 2) mod (2 + 1))
A255315: 1 1 1 1 1 1 0 2 1 1 0 2 1 1 1 0
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) * 2) div (2 + 1)) + 2) * 2) div (2 + 1))
A161126-A128562: 1 1 1 1 2 1 1 4 4 1 1 6 12 6 1 1
(((((((((((x div ((x mod (2 + 2)) + 1)) + 2) + 1) * (x - 1)) div 2) div 2) + 1) div 2) + 2) * 2) mod (2 + 1))
A106823: 1 1 1 0 1 1 1 1 0 0 0 1 1 2 2 2
(1 - ((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2) * (2 + 1)))
A131065: 1 1 1 1 7 1 1 13 13 1 1 19 31 19 1 1
(((((x div 2) div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 1) mod (2 + 2)) mod (2 + 1))
A091392: 1 1 2 1 0 2 0 1 2 0 2 2 0 0 0 1
(((((((((((x + 2) * 2) * ((x * 2) + 1)) div (2 + 1)) + x) * 2) div (x + 1)) + x) + 2) * 2) div (2 + 1))
A171504: 2 6 9 12 14 16 19 22 24 26 29 32 34 36 39 41
(((((((((((x - (x div (0 - 2))) * 2) + 1) * (x + 2)) div 2) + 1) * 2) div (2 + 1)) + x) + 2) div (2 + 1))
A022939: 1 2 4 7 10 15 19 26 31 39 45 55 62 73 82 94
(((((((((((x + 2) * 2) * 2) - 1) * ((x + 2) + 2)) * (x + 1)) div 2) div (2 + 1)) + x) + 2) div (2 + 1))
A241526: 2 7 16 31 53 83 123 174 237 314 406 514 640 785 950 1137
((((((((((x * 2) * 2) * (x + 1)) * (2 + 1)) + 1) * ((x * 2) + 1)) * (x + 1)) * x) div 2) div (2 + 1))
A059255: 0 25 365 2030 7230 19855 45955 94220 176460 308085 508585 802010 1217450 1789515 2558815 3572440
((((((((((2 + 1) * x) - (((x div 2) - 2) - 2)) * ((x + 1) div 2)) + 1) + 2) + x) + x) + 2) div (2 + 1))
A231407: 1 4 6
A158138: 1 4 6 11 13 22 24 35 39 52 56 73 77 96 102 123
((((((x - ((x * x) div (((x div (2 + 2)) + x) + (((2 + 2) + 1) * 2)))) + 2) + 2) + 2) + x) + (2 + 1))
A334688: 9 11 13 15 16 18 19 21 22 24 25 26 28 29 30 31
((x - ((((1 - ((2 + 2) * 2)) * ((x div (2 + 1)) + 1)) * (2 + 1)) div ((2 + 2) + 1))) + (x div (2 + 1)))
A273929: 5 6 7 13 14 15 21 22 23 29 30 31 37 38 39 46
(((((x mod ((x mod ((x div (((x mod (((2 - x) mod (2 + 2)) + 1)) div 2) + 1)) + 1)) + 1)) + 1) + x) div 2) + 1)
A277886: 1 2 3 3 5 6 7 6 5 10 11 9 13 14 15 12
(((((x mod ((x mod ((x div ((((x + 1) mod ((x div (2 + 2)) + 1)) * 2) + 1)) + 1)) + 1)) + 1) + x) div 2) + 1)
A290732: 1 2 3 4 3 6 4 8 9 6 6 12 7 8 9 16
((((((((((((x div (2 + 1)) + x) * (x - 1)) div 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + x) * 2) - 1)
A342474: 1 3 5 9 13 17
A123509: 1 3 5 9 13 17 21 27 33 41 47 55
A196094: 1 3 5 9 13 17 21 27 33 41 47 55 65 73 81 93
(((((((((((((x * x) * (x + 1)) div 2) + 2) div 2) div 2) div 2) + 1) div 2) div 2) + ((x + 1) * x)) div 2) + 1)
A095233: 1 2 4 7 11 17 24 32 41 52 64 78 93 110 129 149
(((((((((((((x + 2) * x) div (2 + 2)) + x) * (x + 2)) div 2) div (2 + 1)) div 2) + 1) div 2) + x) div 2) + 1)
A280241: 1 1 2 3 4 5 7 8 11 13 16 19 23 26 31 36
((((((x - (((x * x) * x) div (1 - (((((2 + 2) * 2) * 2) * 2) + x)))) div 2) div 2) + 1) - (x mod 2)) + 1)
A003113: 2 1 2 2 3 3 5 5 7 8 10 11 15 16 20 23
(((x div ((x div ((((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) * 2) + 1)) + 2)) + (x mod 2)) + 1)
A331179: 1 2 1 3 1 2 1 4 3 2 1 4 1 2 1 5
(compr(\x.((((((x * 2) - (((x mod (2 + 1)) + x) div (((2 + 1) * 2) + 1))) + 1) * 2) + 1) mod (2 + 1)),x) + 1)
A231407: 1 4 6
A089960: 1 4 6 7 9 12 14 17 20 22 25 27 28 30 33 35
(((((compr(\x.(1 - (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1))),x) * ((2 + 2) + 1)) div 2) div 2) - x) + 1)
A063124: 2 2 2 3 4 4 5 5 6 7 8 10 10 10 10 12
(compr(\x.(((((1 - (((x - (((x - 1) * x) div (2 + 2))) div 2) div (2 + 1))) * (x - 1)) div 2) div 2) mod 2),x) + 1)
A285276: 2 3 4 5 7 10 11 12 14 15 16 18 19 20 21 24
(((((((((x * 2) + 1) * (2 + 1)) + x) * x) + 2) * ((x * 2) + 1)) * (x + 1)) - (((x + 2) * x) + 1))
A027850: 1 68 531 2056 5645 12636 24703 43856 72441 113140 168971 243288 339781 462476 615735 804256
(((x div (((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) mod ((x div 2) + 1)) + 1)) + 1) * (x + 1))
A072995-A050399: 1 4 9 8 25 18 49 16 27 50 121 36 169 98 225 32
compr(\x.((((x mod (((((x + 1) * (2 + 1)) mod (((2 + 1) * 2) + 1)) * 2) + 1)) + 1) mod (2 + 1)) - 1),(x + 1))
A028803-A028758: 2 3 5 6 7 8 11 12 13 14 15 17 18 20 21 22
((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) div 2) + 1) * (x + 1))
A131959: 1 2 3 8
A344368: 1 2 3 8 5 12 7 24 18 20 11 48 13 28 30 80
(x - ((compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) + (x mod (((2 + 2) + 1) * 2))) - (x + 1)))
A160928: 1 1 1 1 1 1 1 1 1 1 10 1 ~8 ~17 ~26 ~35
((compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) - (x - (x mod (((2 + 2) + 1) * 2)))) * (x + 1))
A160929: 0 2 6 12 20 30 42 56 72 90 11 132 273 434 615 816
((1 - ((1 - ((((1 - ((((x - 1) * x) div (2 + 1)) mod (2 + 1))) mod (x + 1)) + 1) div 2)) div 2)) mod (x + 1))
A107682: 0 1 1 2 1 1 1 3 1 1 1 1 4 1 1 1
(((((((((x + 1) * 2) mod (((x mod (2 + 1)) * (2 + 1)) + 1)) * 2) + 1) mod (x + 1)) + 2) * 2) div (x + 1))
A182425: 4 3 2 1 0 2 0 0 0 0 1 1 0 0 0 0
(((((((((2 - ((x div (2 + 2)) mod 2)) * 2) mod (x + 1)) + 2) + x) div 2) + (x div (2 + 2))) * 2) + (x + 1))
A285662: 3 4 7 8 15 16 19 20 27 28 31 32 35 36 39 40
((((((((((x div 2) div (2 + 1)) + x) * (((2 + 1) * 2) + 1)) div 2) div 2) + x) div 2) + (x * 2)) + (x + 1))
A314832: 1 5 9 14 18 22 28 32 36 41 45 50 55 59 64 68
((x - (((x mod (((((x div (((x div (2 + 1)) + 2) + 1)) mod 2) + (x div 2)) + 2) - 1)) * 2) - x)) - (x - 1))
A232113: 1 2 3 2 5 4 5 4 5 4 5 4 5 4 3 4
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 - ((x div 2) div (0 - 2))))
A068606: 0 0 0 0 3 0 0 8 8 0 0 15 20 15 0 0
((x + 1) div ((x mod (((x div 2) - (((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1))) + 1)) + 2))
A076511: 0 1 1 1 1 2 1 1 1 3 1 2 1 4 7 1
((((((((((x mod (((x mod (2 + 2)) + 2) * 2)) + 1) * 2) * 2) + 1) mod (x + 1)) + 2) div (2 + 1)) + 1) div 2)
A089611: 0 1 1 1 0 1 1 1 1 2 1 2 1 2 3 2
((((((((((((x + 2) div (2 - (x mod 2))) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 2) div (2 + 1)) + 1) div 2)
A127682: 0 1 1 1 1 2 1 2 2 3 2 4 3 5 4 7
((((((((x * x) mod (((2 + 2) * (2 + 1)) - 1)) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1) div 2) + 1) div 2)
A164067: 0 1 1 0 2 0 1 1 0 1 1 0 1 1 0 2
(((((((((((((((x * x) * (2 + 2)) + 1) * 2) + 1) * x) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A222010: 0 1 3 7
A176690: 0 1 3 7 17 32 55 87 129 184 251
(((((((((x - ((1 - (((x * x) div (2 + 1)) + (x * 2))) div 2)) * x) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A309408: 0 1 1 2 3 5 7 10 13 18 23 29 36 44 53 63
(((((x div (((2 - (x mod (((((2 - x) mod (2 + 2)) + 1) * 2) + 1))) mod (x + 1)) + 2)) + 1) div 2) + 1) div 2)
A333948: 0 0 1 0 0 1 1 1 1 0 1 2 1 0 2 1
((((((((((((x - 1) * x) div (2 + 2)) * (x + 1)) div ((2 + 2) * 2)) + x) div 2) + x) + 1) div 2) + 1) div 2)
A153178: 0 1 1 1 2 3 3 4 5 6 8 9 11 14 16 19
((x - ((((x - (((x div (((((x div 2) * x) mod 2) - 2) * 2)) div (2 + 1)) * 2)) mod (x + 1)) * 2) - 1)) div 2)
A102563: 0 0 0 1 1 2 2 1 3 4 4 3 5 4 4 3
(((((x + 1) * 2) + 1) mod ((((((((x * x) mod (((x + 2) + 2) + 1)) div 2) mod 2) + 1) * 2) * 2) - 1)) div 2)
A341354: 0 1 0 0 2 0 0 1 0 0 1 0 0 0 1 0
((((((((((((((x div 2) * x) mod 2) + (x * 2)) * 2) + 1) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2)
A145807: 0 0 1 2 3 4 6 8 9 12 14 18 20 23 27 32
((((((1 - ((((1 - (((x mod 2) - (x div 2)) div 2)) div 2) mod 2) - (x mod 2))) * (x + 1)) div 2) div 2) + 1) div 2)
A045841: 0 1 0 1 0 1 0 1 0 1 1 2 2 4 2 4
(1 - (((((((((0 - ((((x - 1) div 2) * (x div 2)) div 2)) div 2) - 1) * (x + 1)) div 2) div 2) div 2) + 1) div 2))
A193942: 1 1 1 1 2 2 2 2 3 4 5 6 8 10 12 14
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((1 - (x div 2)) * 2) * 2) + 1)) div 2))
A047812: 1 1 1 1 3 1 1 5 7 1 1 9 20 11 1 1
((((((((x * x) * (2 + 1)) + x) * (x + 1)) * ((x * 2) + 1)) div (2 + 1)) * (((x * 2) * 2) + 1)) div 2)
A011197: 0 20 315 1820 6630 18480 43225 89320 168300 295260 489335 774180 1178450 1736280 2487765 3479440
(x div (((x div (((((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) - (x mod 2)) + 2)) + 1) * 2))
A342652: 0 0 1 0 2 0 1 1 2 0 2 0 3 2 3 0
((((2 + 2) * 2) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 2))
A066340: 1 1 1 1 0 1 1 1 1 1 1 4 3 4 1 1
((((x + 1) div (((x div 2) div (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1)) + 2)) * (2 + 1)) div 2)
A334019: 0 1 1 1 1 3 1 1 1 3 1 4 1 3 4 1
((((((((((2 + 2) * (2 + 1)) + x) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2)
A095661: 3 13 35 75 140 238 378 570 825 1155 1573 2093 2730 3500 4420 5508
(((((((((((2 + 2) * 2) * 2) + x) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2)
A095667: 4 17 45 95 175 294 462 690 990 1375 1859 2457 3185 4060 5100 6324
((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) div 2) * (2 + 1)) div 2)
A337525: 0 0 0 1 0 1 0 3 1 1 0 4 0 1 1 6
((((1 - (x mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1))))) div 2) * (2 + 1)) div 2)
A335681: 0 0 0 0 1 0 0 3 3 0 0 6 7 6 0 0
((((((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) div 2)
A006322: 1 8 31 85 190 371 658 1086 1695 2530 3641 5083 6916 9205 12020 15436
(((1 - ((((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) div 2)) * (2 + 1)) div 2)
A326815: 1 1 1 0 1 1 1 ~2 0 1 1 0 1 1 1 ~5
((2 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * (2 + 1))) div 2)
A026659-A026637-A026386: 1 1 1 1 2 1 1 4 4 1 1 5 8 5 1 1
((((((((((x * 2) + 1) * 2) div ((2 + 2) + 1)) + 2) * 2) * (x + 1)) div (2 + 1)) + 1) + ((2 + 1) * 2))
A256073: 8 11 15 17 23 31
((((((((((x * 2) - ((x div (2 + 1)) mod (2 + 1))) + 1) * 2) * 2) * 2) div (2 + 1)) + x) div (2 + 1)) + 2)
A285413: 2 5 7 8 10 12 13 15 18 21 24 26 27 29 31 32
(((((x mod (x - ((((x div (((2 + 1) * 2) + 1)) * 2) * (2 + 1)) - 1))) div 2) + 1) + (x mod (2 + 1))) div 2)
A164885: 0 1 2 1 2 2 2 1 2 0 1 2 1 2 2 1
(((((((((((((x + 1) div 2) div 2) + 1) * x) div 2) + 1) div 2) + 1) div 2) mod (2 + 1)) + (x mod (2 + 1))) div 2)
A229878: 0 0 1 0 1 2
A037889: 0 0 1 0 1 2 1 0 1 0 1 1 0 1 1 0
(((((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) + 1) * ((x div 2) + 1)) div 2) * ((x mod (2 + 1)) div 2))
A193291: 0 0 1 0 0 3 0 0 2 0 0 12 0 0 4 0
((x - (x mod ((((x div ((((((2 + 2) * 2) * (2 + 1)) - 1) mod ((x * 2) + 1)) + 1)) + x) div 2) + 1))) div 2)
A342881: 0 0 1 1 1 2 2 2 2 3 3 0 3 3 4 4
(((((((((((((((x - 1) * x) div 2) div (2 + 1)) + 2) * x) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 1) + 2)
A120180: 3 3 4 5 5 6 7 8 10 11 13 15 18 21 24 28
((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) - ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2))
A344838-A344835-A087061-A082860-A003984: 0 1 1 2 1 2 3 2 2 3 4 3 2 3 4 5
(((((((((((2 + 2) + 1) * (x + 1)) + ((x div 2) div (2 + 1))) div 2) * (2 + 1)) div 2) * 2) + x) + 1) div 2)
A184925: 3 8 11 17 20 25 30 34 38 42 47 51 55 61 64 69
(1 - (x div ((((((((x * 2) mod (((x mod (2 + 1)) * 2) + 1)) + 2) + (x mod 2)) * 2) - 1) mod (x + 1)) + 2)))
A199918: 1 1 1 0 0 1 0 ~1 0 0 0 0 ~1 0 0 ~1
((((((((x + 2) * x) * (x + 1)) div 2) div (2 + 1)) + ((((x + 2) * x) + 2) * (x + 1))) * (x + 1)) div 2)
A185505: 1 11 51 156 375 771 1421 2416 3861 5875 8591 12156 16731 22491 29625 38336
(((((x div ((((((x mod (2 + 1)) div 2) + 1) * ((x mod 2) + 1)) mod (x + 1)) + 2)) + 1) * 2) mod (x + 1)) div 2)
A317243: 0 0 1 1 2 1 3 2 3 3 4 2 5 4 4 4
((((x - ((x mod (((((x + 1) div 2) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1)) * 2)) * 2) mod (x + 1)) div 2)
A279645: 0 0 0 1 1 0 2 3 3 2 0 1 5 4 6 7
((((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) + 2) * (x + 1)) div 2)
A267092: 1 3 3 8 5 9 7 20 9 15 11 24 13 21 15 48
(((((((x - (x div (2 + 2))) div 2) + ((x + 1) * (2 + 1))) * ((2 + 2) + 1)) div 2) div 2) + ((x + 1) * 2))
A184822: 5 11 18 24 30 37 42 49 55 61 68 74 79 86 92 99
(((((((x div ((x div ((((x + 2) mod ((2 + 2) + 1)) div 2) + 2)) + 2)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A086876: 1 1 2 2 2 2 2 4 2 2 4 4 4 2 2 4
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 - (x mod (((0 - 2) - 2) - 1)))) + 2) div 2)
A055216: 1 1 1 1 2 1 1 3 3 1 1 4 6 3 1 1
((((((((x - (((((x * x) div (2 + 2)) - x) - 1) div (2 + 1))) + 1) * (x + 1)) div 2) div 2) + 1) div 2) div 2)
A319468: 0 0 1 1 2 2 3 3 4 4 5 4 5 4 4 3
((((((((((((x mod ((x div 2) + 1)) div 2) + (x * 2)) * 2) + 1) + x) * (x + 1)) div 2) div 2) + 1) div 2) div 2)
A260732: 0 1 2 4 6 10 14 19 24 31 38 45 53 63 72 82
((((((((((((x * x) div 2) + 1) div (2 + 1)) + 1) * (((x + 2) + 2) + 2)) div 2) div 2) div 2) + 1) div 2) * 2)
A162776: 0 0 2 2 6 6 10 14 22 26
(((((((((((((((x + 2) * 2) * (x + 1)) - 1) * 2) * 2) - 1) + x) + x) + 2) * 2) * 2) - 1) * 2) * 2)
A292346: 204 748 1548 2604 3916 5484 7308 9388 11724 14316 17164 20268 23628 27244 31116 35244
((((((x - (x div (2 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)))) div 2) + 1) * ((2 + 2) + 1)) div 2) - 2)
A135090: 0 0 0 0 3 0 0 5 5 0 0 8 8 8 0 0
((x * 2) - (((compr(\x.(1 - (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1))),x) * ((2 + 2) + 1)) div 2) div 2))
A331677: ~1 0 1 1 1 2 2 3 3 3 3 2 3 4 5 4
((((x - (((((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2) * 2) - 1)) * (2 + 1)) div 2) div 2)
A035531: 0 1 2 1 2 3 3 1 2 3 3 3 3 4 5 1
((((((((((x div ((2 + 2) + 1)) + 1) * x) div (((2 + 2) * 2) + 1)) + x) * 2) + 1) * (2 + 1)) + 2) * 2)
A232540: 10 22 34 46 58 82 94 106 118 142 166 178 202 214 226 262
((((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) * (2 + 1)) + 2) * 2)
A059132: 4 10 4 16 4 10 4 22 4 10 4 16 4 10 4 28
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((2 - x) div 2) - ((2 + 1) * 2))) div 2))
A173119-A028313: 1 1 1 1 5 1 1 6 6 1 1 7 12 7 1 1
((((((((2 + 2) * 2) * 2) + x) * 2) - (x mod 2)) + 1) + (((((2 + 1) * 2) * (x div (2 + 1))) + 2) * 2))
A071887: 37 38 41 54 57 58
(((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * x) div 2) + 1) div 2) + 2)
A309865: 2 2 2 2 3 2 2 4 4 2 2 5 11 5 2 2
(((((((((((((((x - 2) * x) * (x - 1)) div 2) div 2) div 2) div 2) + 1) div 2) + x) div 2) + x) + 1) div 2) div 2)
A118302: 0 0 1 1 1 2 3 3 4 5 6 8 9 11 14 16
((((((((1 - (x mod (((x mod 2) + 2) + 1))) mod (x + 1)) div ((2 + 2) + 1)) + 1) * 2) mod (x + 1)) + 2) div 2)
A320111: 1 1 2 2 2 2 2 3 3 2 2 4 2 2 4 4
((((((((((((x * x) div (((x + 2) + 2) + 1)) + 1) * x) div 2) + 2) * 2) div (2 + 1)) + 1) div 2) + 2) div 2)
A096938: 1 1 1 2 2 2 3 4 4 6 7 8 10 12 14 16
(((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * (((x div ((2 + 2) + 1)) + 2) * (2 + 1))) div 2) div 2) div 2)
A108797: 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 11
(((((((((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2) + x) + 2) * 2) + 1) + ((x + 1) div 2)) div 2) + 2)
A077094: 4 6 8 9 10 12 14 15 16 18 20 21 22 25 26 27
((((((((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod (2 + 1)) + 1) + (((x + 1) div 2) div 2)) div 2)
A057226: 1 1 1 2 1 2 2 2 2 1 2 2 2 3 2 3
((((((((((x + 2) * 2) * 2) + x) - 1) * (x + 1)) div 2) + ((((x div (2 + 1)) + 1) * 2) * 2)) div 2) div 2)
A266811: 1 4 7 13 18 26 35 45 55 69 82 97 113 131 149 170
(1 - (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2) * 2) * 2))
A168625: 1 1 1 1 9 1 1 17 17 1 1 25 41 25 1 1
(((((((((((((x div 2) + 1) div 2) * 2) - 1) mod (x + 1)) * 2) + 1) mod (x + 1)) div 2) + 2) mod (2 + 2)) - 2)
A343642: 0 0 0 1 1 1 0 ~1 ~1 ~1 0 1 1 1 0 ~1
(((((((((((x + 2) * 2) * 2) + x) * (x + 1)) div 2) * (2 + 1)) + 1) * (x + 1)) div 2) mod ((2 + 2) * 2))
A289487: 6 0 3 6 7 6 0
((((((((((x mod 2) * 2) + x) * ((2 + 2) + 1)) * 2) mod (((2 + 1) * 2) + 1)) + 1) + (x mod 2)) div 2) div 2)
A133300: 0 1 1 0 1 0 1 2 1 1 0 1 0 1 0 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) mod 2) * 2) + 1)) * (x div (2 + 2)))
A062707: 0 0 0 0 1 0 0 3 2 0 0 6 6 3 0 0
((compr(\x.((((x + 2) * x) + 2) mod (((((((x mod 2) + 2) + 2) + 2) * 2) - 1) * ((2 + 2) + 1))),x) + 2) div 2)
A203464: 4 9 56 61 69 74 121 126 134 139 186 191 199 204 251 256
(((((((((((((x + 2) + 2) + 2) * (x + 2)) + 1) * 2) + 1) * (x + 1)) div 2) div (2 + 1)) + x) + 2) * 2)
A152135: 12 36 74 134 216 328 470 650 868 1132 1442 1806 2224 2704 3246 3858
((((((x - ((((x mod 2) - x) - 2) * ((2 + 2) + 1))) - (((x + 1) div 2) div (2 + 1))) + 2) + x) + 2) * 2)
A230855: 28 32 56 60 84 86 110 114 138 142 166 168 192 196 220 224
compr(\x.((x div 2) mod 2),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)))
A166455: 1 1 1 1 4 1 1 5 5 1 1 8 12 8 1 1
((((((((((((((x + 2) * (x + 1)) div 2) div 2) + 2) * x) div 2) + 2) div (2 + 1)) + x) div 2) + x) + 2) div 2)
A306385: 1 2 3 4 5 7 9 12 15 18 23 28 33 40 47 56
(((((((((x + 2) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) - 1) - ((x * 2) * 2))
A124479: 0 1 11 37 88 175 311 511 792 1173 1675 2321 3136 4147 5383 6875
(((((((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) div 2) * 2) + (x mod 2)) + 2)
A101876: 2 3 2 5 2 3 2 7 4 3 2 5 2 3 2 11
(((x div ((x mod (((x + 1) mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 2)) + 1) div ((x mod 2) + 2))
A291598: 0 0 1 0 1 1 2 1 2 1 2 2 3 1 2 2
(x div ((((((2 - (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2)) * (x + 1)) div (2 + 1)) + 1) + x) div 2))
A254606: 0 1 0 1 1 0 1 1 2 0 1 1 1 3 0 1
((((((((((2 + 2) * 2) * ((2 + 2) + 1)) + x) + (x div (((2 + 2) * 2) + 1))) div 2) * 2) + 1) + x) div 2)
A270045: 20 21 22 23 24 25 26 27 28 30 30 32 32 34 34 36
(((((((((((2 + 2) * 2) * 2) * 2) + 1) * ((x * 2) + 1)) div ((x + 2) + 1)) + 2) div (x + 1)) + x) div 2)
A343436: 6 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9
(((((((((x + 1) * (2 + 1)) - ((2 - x) div (((x mod 2) + 2) + 2))) + x) + 2) * (2 + 1)) div 2) + x) div 2)
A288175: 3 7 10 15 18 22 25 29 33 36 40 43 48 51 55 58
(((((compr(\x.(1 - (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1))),x) * ((2 + 2) + 1)) div 2) div 2) + x) + 2)
A298862: 3 5 7 10 13 15 18 20 23 26 29 33 35 37 39 43
(((((((((x div (((2 - x) div (2 + 2)) - 2)) * (((2 + 1) * x) + 2)) div 2) div 2) + x) + 2) div 2) + x) div 2)
A131840: 0 0 1 2 1 2 2 2 3 1 2 2 2 2 2 2
((((((((((x - (((x div 2) + x) div ((2 + 2) + 1))) div 2) + x) * 2) + x) + 1) + (x div 2)) div 2) + x) + 2)
A189472: 2 5 9 11 14 18 21 23 27 30 33 36 39 43 46 48
((((((((((x + 2) + 2) + 2) * 2) + 1) * x) * ((((x + 2) + 2) + 2) + 1)) div 2) div (2 + 1)) - (x + 2))
A073775: ~2 17 47 90 148 223 317 432 570 733 923 1142 1392 1675 1993 2348
((((((((((((2 mod ((x div 2) + 1)) + x) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) + x) * 2) - 1) - (x div 2))
A285412: 1 3 4 6 9 11 14 16 17 19 20 22 23 25 28 30
(((((((((x * 2) - ((x div (2 + 2)) mod 2)) + 1) * ((2 + 2) + 1)) div (2 + 1)) + 1) div (2 + 1)) + 1) - x)
A338409: 1 2 2 2 1 1 2 2 2 2 3 3 2 2 2 3
compr(\x.(((((((((1 - (x mod (((2 + 2) * 2) + 1))) mod (x + 1)) + 2) div 2) div 2) + 1) * 2) mod (2 + 1)) - 1),x)
A037343: 2 3 4 5 6 7 8 20 21 22 23 24 25 26 29 30
compr(\x.((((((x - ((((x div (2 + 1)) + x) div ((2 + 2) + 1)) * 2)) + 1) mod (2 + 1)) + 1) mod (x + 1)) - 1),x)
A090893: 0 1 2 4 7 9 14 16 21 23 26 28 30 33 35 40
(((((x mod (((((x * x) * x) mod ((((2 + 2) * 2) * (2 + 1)) + 1)) + 2) * 2)) + 1) mod (x + 1)) + 1) + x)
A098098: 1 2 3 4 5 8 7 8 9 10 14 12 16 14 15 20
((((((((((((x - ((x mod (2 + 1)) div 2)) div 2) + x) + 1) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1) + x)
A097046: 1 2 3 5 7 9 11 13 16 19 22 25 28 31 34 39
compr(\x.(2 - (((((x - ((((1 - (x * 2)) div (2 + 1)) * 2) - 1)) div (2 + 1)) + 1) + x) mod ((2 + 2) + 1))),x)
A213356: 1 2 4 6 7 9 10 12 13 15 18 21 23 24 26 27
((((((2 - x) * 2) div ((((x div 2) div (2 + 1)) + 2) + 2)) + ((x * 2) * 2)) + ((x + 1) div (2 + 1))) + x)
A137002: 1 5 11 15
A314028: 1 5 11 15 20 25 30 35 40 45 49 55 60 65 71 75
((1 - ((((2 - ((x mod ((((x + 2) * x) mod ((2 + 2) * 2)) + 1)) - 1)) mod (x + 1)) div 2) mod (2 + 1))) + x)
A306890: 1 2 3 4 4 5 6 6 8 9 10 12 12 13 14 16
(((((((((x + 1) div ((2 + 2) + 1)) * ((((x + 1) div 2) div 2) + 1)) div 2) + x) + 2) * 2) div (2 + 1)) - x)
A016348: 1 1 0 0 0 0 0 ~1 ~1 0 0 0 0 ~1 0 1
((((((((((((x * x) div (2 + 2)) + x) div ((2 + 2) + 1)) + x) * (2 + 1)) div 2) div 2) + x) div 2) + 1) - x)
A280169: 1 0 0 1 0 1 1 1 1 1 2 2 2 3 3 4
((((((((((x - ((1 - x) * (x div 2))) * (2 + 1)) - 2) * ((2 + 2) + 1)) div 2) div 2) + 2) + 2) + 2) - x)
A226220: 3 6 12 19 37 47
((((((((((((((x - 1) mod (2 + 1)) + x) * (x + 1)) div 2) div 2) + 1) div 2) + x) div 2) + x) + 2) div 2) - x)
A087897: 1 0 0 1 0 1 1 1 1 2 2 2 3 3 4 5
((((((((((x - ((1 - (x * x)) div ((x + 2) + 2))) * 2) + x) + 1) * 2) div (2 + 1)) - 1) + x) + 2) + x)
A314096: 1 5 11 16 20 25 31 36 41 47 52 56 61 67 72 77
(((((((((((((x div (2 + 2)) + x) * (2 + 1)) + 2) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + x) div 2) + x)
A237886: 0 2 4 6 8 11 14 17 21 24 28 32 37 41 46 50
((((((((((((x * 2) + 1) * (2 + 1)) + x) * (x + 2)) div (2 + 1)) + x) div 2) + x) div 2) + 1) + (x * x))
A025734: 1 5 12 22 35 51 71 94 120 149 181 216 255 297 342 390
((((((((((2 + 2) * 2) * (x + 1)) * (2 + 1)) div (((2 + 1) * 2) + 1)) + x) + x) + 2) + 2) + (x * x))
A236312: 7 13 22 32 45 59 76 94 114 137 161 188 216 247 279 313
(((((((((0 - ((x - (x div (2 + 2))) div 2)) * (((2 + 1) * 2) + 1)) + 1) + x) + x) + 2) + x) + x) + x)
A080939: 3 8 6 11 16 14 19 17 22 27 25 30 35 33 38 36
(if x <= 0 then 1 else loop(\(x,i).(x * 2),((if x <= 0 then 1 else loop(\(x,i).(x - (if (x mod 2) <= 0 then ((if x <= 0 then 2 else x) div 2) else 1)),x,x)) + x),2))
A189007: 1 4 8 16 16 32 32 64 32 64 64 128 64 128 128 256
(loop(\(x,i).(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1)) * x),x,1) - (if x <= 0 then 0 else 1))
A135516: 1 3 35 899 44099 5336099 901800899 260620460099 94083986096099 49770428644836899 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + (x * 2)),i,1) + x),(x + 1),1)
A222993: 9 50 222 867 3123 10660 35064 112373 353517 1097430 3374226 10302919 31301991 94757960 286108908 862258905
loop(\(x,i).((2 + 1) * x),x,((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)) + 1))
A220442: 4 30 270 2700 28674 315900 3564810 40896900 474714594 5557298220 65464673850 774752404500 9200707298514 109548133495740 1306873625950890 15613382906014500
(((loop(\(x,i).((if x <= 0 then 1 else loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x * 2))) + x),x,1) + 1) * 2) + 1)
A227770: 5 7 11 19 31 59 113 223 443 883 1759 3511 7019 14033 28057 56101
(((((loop(\(x,i).((if x <= 0 then 1 else loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,x)) + x),2,x) + 1) div 2) + 1) * 2) + 1)
A076568: 5 5 5 5 7 5 5 5 11 5 13 7 5 5 17 5
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * (2 + 1)) else 1) + (if x <= 0 then 1 else 2)) else 1)
A040372: 19 1 3 1 38 1 3 1 38 1 3 1 38 1 3 1
(compr(\x.(0 - loop(\(x,i).loop(\(x,i).loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(x * 2)),1,(x + 1)),2,x)),x) div (2 + 1))
A153196: 0 1 2 4 6 9 11 16 17 22 24 29 31 32 37 39
(if x <= 0 then 2 else ((((if ((loop(\(x,i).(x * x),x,loop(\(x,i).(i * x),x,1)) + 1) div (2 + 1)) <= 0 then 1 else (x * 2)) * x) * 2) + 1))
A067976: 2 3 17 37 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A025966: 1 20 260 2800 27216 248640 2182720 18656000 156544256 1296655360 10641146880 86744985600 703688298496 5688011079680 45855653642240 368956766617600
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A020724: 1 27 495 7695 109431 1474767 19198215 244167615 3055792311 37811613807 464078786535 5662363023135 68791291322391 833094971965647 10065613312624455 121404092777808255
loop(\(x,i).(loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1)) + ((x * 2) * 2)),x,1)
A167869: 1 12 264 9056 379224 17519904 858968640 43860112128 2307187351512 124161781334048 6803252453289408 378260174003539200 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((i + 1) * x) div ((i div 2) + 1)),(x - 1),1)),1,loop(\(x,i).(x * 2),x,1))
A037267: 1 2 10 186 52666 3693886906 4611686018427387903
(((if x <= 0 then 1 else (((if x <= 0 then 1 else ((loop(\(x,i).loop(\(x,i).((i + 2) * x),x,x),x,1) + 1) * 2)) + 2) * 2)) + x) + (x + 1))
A273976: 2 23 733 4611686018427387903
loop(\(x,i).(x * 2),x,(loop(\(x,i).((x * 2) * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) - loop(\(x,i).((2 + 1) * x),x,1)))
A057010: 1 26 604 14120 334576 7987616 191318464 4588288640 110090411776 2641931680256 63404394241024 1521689370306560 36520413978750976 876488875160477696 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) * x),x,1)
A126680: 1 10 650 227500 386977500 3006815175000 102547431543375000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(x * x),1,loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),i,1)) + x),x,1)
A189997: 1 5 41 941 45041 5381141 907182041 261527642141 94345513738241 49864774158575141 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,loop(\(x,i).((x + 1) * 2),(2 + 2),x)),x) + 1)
A127577: 3 5 6 11 14 18 26 30 33 35 39 44 45 48 51 54
(if x <= 0 then 1 else (loop(\(x,i).loop(\(x,i).((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1) + (i * x)) + x),x,1),x,1) div 2))
A297023: 1 1 3 29931
loop(\(x,i).((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)) + 1),1,((x + 1) * 2))
A091775: 30 354 4890 72354 1108650 17312754 273234810 4338079554 69107159370 1102999460754 17623571298330 281757423024354 4506141560307690 72080471098818354 1153127396812683450 4611686018427387903
(((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (2 + 1)) else 1) * (2 + 1)) - (if x <= 0 then 1 else 2))
A040302: 17 1 7 1 34 1 7 1 34 1 7 1 34 1 7 1
(if (x - 2) <= 0 then loop(\(x,i).(x * 2),x,2) else loop(\(x,i).(x * x),2,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)))
A062286: 2 4 8 14641
compr(\x.((((if loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x) <= 0 then 0 else x) - 1) mod (2 + 1)) - 1),x)
A140137: 1 2 4 7 8 11 13 14 16 19 22 23 25 26 28 29
(((if x <= 0 then 0 else loop(\(x,i).(((if x <= 0 then 1 else (loop(\(x,i).(((x * x) + 1) * x),x,1) - 1)) - x) * (2 + 1)),x,1)) + 1) + x)
A116899: 1 2 6 3022
(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else loop(\(x,i).i,(((x div 2) - 1) div 2),1)))),(x + 1),(x + 1)) + x)
A302039-A056239: 0 1 2 2 3 3 4 3 4 4 5 4 6 5 5 4
(if (x - 1) <= 0 then 1 else loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)))
A267811: 1 1 11011 1110111 111101111 11111011111 1111110111111 111111101111111 11111111011111111 1111111110111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) - loop(\(x,i).(if x <= 0 then 1 else ((((2 + 2) + 1) * x) * 2)),x,0))
A267775: 1 110 11101 1111011 111110111 11111101111 1111111011111 111111110111111 11111111101111111 1111111111011111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) * 2),x,1)) - loop(\(x,i).(((2 + 1) * x) + 2),x,0))
A090022: 0 1 25 253 2065 15541 112825 804973 5692705 40071781 281367625 1972955293 13823978545 96820307221 677949854425 4746473419213
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1),1,i) + x),x,0)
A160724: 0 3 6 15 18 27 36 63 66 75 84 111 120 147 174 255
((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x * x),1) + 1) * loop(\(x,i).(((x * 2) * 2) + 1),(if (x - 1) <= 0 then 1 else 0),1))
A140362: 10 65 20737
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),2,(if x <= 0 then 0 else 1)))
A267923: 1 11 11011 1111011 111111011 11111111011 1111111111011 111111111111011 11111111111111011 1111111111111111011 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),(compr(\x.(loop(\(x,i).((x * x) * (x - 1)),2,x) mod (x + 1)),x) + 1),1)) + 1)
A162455: 3 7 43 601 519121
(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1) - 1)
A242083: 4 18 210 2058 175098 1586130 129009090 1161737178 94134790218 68629840493970 617671248800298 450283768452043890 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else (((x + 1) * 2) div (((x * 2) + 1) div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))))
A231407: 1 4 6
A095196-A074828: 1 4 6 2 10 2 14 2 3 2 22 2 26 2 3 2
(1 - (if x <= 0 then 0 else ((if (x - 1) <= 0 then (x * 2) else loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),1)) + 1)))
A115141: 1 ~2 ~1 ~2 ~5 ~14 ~42 ~132 ~429 ~1430 ~4862 ~16796 ~58786 ~208012 ~742900 ~2674440
(((x + 1) mod (loop(\(x,i).(if x <= 0 then 0 else (x - ((if (((x div 2) + x) mod (2 + 2)) <= 0 then 2 else 1) - (x mod 2)))),2,x) + 1)) + 1)
A244569: 1 1 2 1 3 1 2 1 4 1 2 3 3 1 2 1
(loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 1)
A323704: 2 3 5 3 11 5 17 7 23 29 11 13 41 15 47 53
(loop(\(x,i).(loop(\(x,i).((x + 1) * 2),x,0) div (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) - 1)
A092679: 0 1 5 17
A164740: 0 1 5 17 185 629 7709 27593 364721 18512789 69273665 3714566309 53634713549 204560302841 2994414645857 169947155749829
(loop(\(x,i).(loop(\(x,i).((i * x) * 2),x,1) div (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 1)
A091825: 2 3 77 6583 337808291 150922350277 80658585770586353 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) - 1)
A120875: 14 34 142 322 898 1762 3598 5182 10402 11662 19042 22498 32398 36862 39202 51982
((loop(\(x,i).((((x * x) + 1) * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + 1) * (loop(\(x,i).((2 + 1) * x),x,1) + 1))
A034668: 10 124 3410 131068 5732210 264105844 12441770330 591961476748 28294099221410 1355321291969764 64989628053819050 3117943006504850428 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 0 else (compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),(((x + 2) + 2) + 1)) + 1)) * 2) + 1)
A166061: 1 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79
(if (x mod 2) <= 0 then (if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,(2 - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1) * 2)) else 1)
A318658-A318512: 1 1 2 1 2 1 2 1 8 1 2 1 2 1 4 1
(((if x <= 0 then 0 else (compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),(((x + 2) + 2) + 2)) + 1)) * 2) + 1)
A166063: 1 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83
(if (x mod 2) <= 0 then (if (x mod (2 + 2)) <= 0 then (((((2 + 2) * 2) * (2 + 1)) - 1) * (if x <= 0 then 1 else 2)) else ((2 + 1) * 2)) else 1)
A040546: 23 1 6 1 46 1 6 1 46 1 6 1 46 1 6 1
(((compr(\x.(loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)),1,((x + 1) * x)) - 1),x) + 1) * 2) - 1)
A225227: 1 7 13
A180263: 1 7 13 17 21 23 27 31 33 37 41 43 47 53 55 57
(((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x + 1) mod 2)) + loop(\(x,i).(x * 2),x,1)) div 2) - 1)
A226881: 0 0 2 3 10 15 41 63 162 255 637 1023 2509 4095 9907 16383
((loop(\(x,i).(((loop(\(x,i).((x - 1) * (2 + 1)),x,2) + loop(\(x,i).(x * 2),x,2)) * (2 + 1)) + 1),1,(x + 1)) * 2) + 1)
A183625: 45 87 189 447 1125 2967 8109 22767 65205 189447 556029 1643487 4881285 14545527 43439949 129926607
(((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x + 2) + 1) * x)),x) + 1) * 2) + 1)
A109358: 3 5 7 11 13 19 23 25 29 31 37 41 47 55 65 67
(((compr(\x.(if ((x + 2) mod (2 + 2)) <= 0 then 1 else loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),x) + 1) * 2) + 1)
A045403: 3 5 11 13 17 19 29 37 41 43 53 59 61 67 73 83
((x + 1) - (((loop(\(x,i).(((if x <= 0 then 1 else (loop(\(x,i).((x - 2) * (2 + 1)),x,0) * 2)) + x) + 2),x,0) div 2) * 2) - 1))
A258819: 2 1 156 153
((if x <= 0 then 0 else ((((loop(\(x,i).(((x + 2) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) + 2) + 2) + 2) + 1)) div ((2 + 2) + 1))
A322752: 0 2 3 9 30 110 423
(loop(\(x,i).((x + 1) * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),(x - 1),x) + x),1) mod ((2 + 2) + 1))
A110914: 1 0 2 0 1 0 2 0 4 0 2 0 1 0 2 0
((if (x mod 2) <= 0 then (if x <= 0 then 1 else ((x - (if ((x mod (2 + 1)) mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else 0)) div 2)) else 0) mod (2 + 1))
A297115: 1 0 1 0 1 0 2 0 0 0 2 0 2 0 1 0
loop(\(x,i).((2 + 1) * x),(x - 1),loop(\(x,i).(x * x),1,(loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x - 1),1) * (2 + 1))))
A058200: 9 9 3888 1679616 725594112 313456656384 135413275557888 58498535041007616 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(x * 2),x,2) div (x + 1)),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 1)) div (2 + 1))
A145756: 2 6 62 210 2570 9198 121574 6170930 23091222 1238188770 17878237850 68186767614 998138215286 56649051916610 3256840408493918 12600235023025650
(1 - ((((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((loop(\(x,i).(x * 2),x,1) div (x + 2)) + x))) + 1) div 2) * 2) mod (2 + 1)))
A144475: ~1 ~1 1 ~1 1 1 ~1 1 1 ~1 ~1 1 0 ~1 1 ~1
((loop(\(x,i).compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),1,(((x + 1) * x) div 2)) * 2) + (2 + 1))
A078722: 3 5 11 19 37 59 83 113 163 211 269 337 409 487 587 673
(loop(\(x,i).((loop(\(x,i).(x * 2),x,2) - 1) div (x + 2)),1,compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x)) div (2 + 1))
A096060: 1 3 31 105 1285 4599 60787 3085465 11545611 619094385 8939118925 34093383807 499069107643 28324525958305 1628420204246959 6300117511512825
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x * 2) * 2) + (x div 2))),x) + 2) - 1)
A024907: 1 2 4 6 10 12 16 20 22 26 30 32 36 40 44 50
(2 div (((loop(\(x,i).(x * 2),x,(if (loop(\(x,i).(x * 2),x,(2 + 1)) mod ((x + 2) + 1)) <= 0 then 2 else 1)) - 1) mod (x + 2)) + 1))
A039974: 1 1 0 2 0 2 0 1 0 2 0 0 0 0 0 0
(((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)) div 2) * ((x * 2) + 1))
A303602: 0 3 25 154 837 4246 20618 97140 447661 2028478 9070110 40122028 175913250 765561564 3310623412 14238676712
loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 2)),x,((2 + 1) * x))) div 2),1,((x * 2) - 1))
A127769: 1 1 9 90 1001 11934 149226 1931540 25662825 347993910 4796857230 67016296620 946844533674 13505406670700 194214400834356 2812744285440936
((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074579: 3 23 181 1457 11953 99593 840241 7160057 61503553 531715913 4620992401 40333791257 353325795553 3104682336233 27353203130161 241545689168057
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074573: 3 20 142 1070 8482 69950 593722 5141030 45116962 399451310 3557016202 31792684790 284850459442 2556147225470 22961260134682 206391834657350
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074576: 3 22 170 1366 11282 94942 809210 6958246 60214562 523591342 4570291850 40019822326 351393153842 3092842345342 27280942481690 241106021761606
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074569: 3 20 146 1136 9218 76880 653186 5622896 48877058 428036240 3770308226 33362580656 296287600898 2638821947600 23555283963266 210639767346416
((if (x mod (2 + 1)) <= 0 then ((((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((x mod 2) + 1))
A010222: 13 2 1 12 1 2 26 2 1 12 1 2 26 2 1 12
((x * 2) div ((loop(\(x,i).(x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))),x,x) * 2) + 1))
A323076: 0 0 0 1 0 2 0 1 1 3 0 1 0 2 1 2
loop(\(x,i).((x * x) * x),(x - 2),((if (loop(\(x,i).(x * x),(x - 2),(((x * x) * x) * (x * x))) * x) <= 0 then x else 2) + 1))
A271938: 1 3 3 27 19683 4611686018427387903
(compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x + 2) * x) * (2 + 1))) - 1),x) + 1)
A143826: 1 2 3 5 7 8 10 12 13 17 20 22 27 28 30 32
(compr(\x.((loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((2 + 1) * x)) + 1) mod (2 + 1)),x) + 1)
A121765: 6 11 13 16 21 26 27 35 37 46 51 55 56 61 62 63
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + ((x * 2) * 2)) * 2) - 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021279: 1 23 371 5227 68955 877371 10927867 134329979 1637524859 19854820219 239894019963 2891817662331 34806527338363 418516051199867 5028894399547259 60400347075823483
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016315: 1 21 319 4305 55015 683697 8369047 101581473 1227048295 14781074385 177768357559 2135988547329 25651240368391 307950529031985 3696355860679255 44362916914251873
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A018071: 1 23 373 5279 69853 890519 11105221 136616783 1666241005 20209628615 244233494869 2944545727487 35444499573757 426213603230711 5121600110316517 61515496310530991
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A019722: 1 25 433 6457 89089 1174537 15047761 189169369 2347464097 28866716329 352675969009 4288594179961 51971489903425 628233183645001 7579976215410577 91330317763703833
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021404: 1 20 285 3640 44681 540540 6505045 78138080 937976961 11257033060 135089723405 1621098253320 19453266126841 233439544261580 2801275941271365 33615316957309360
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A019041: 1 21 313 4125 51601 630741 7630633 91892685 1104403201 13261555461 159183299353 1910426955645 22926277062001 275121159824181 3301483361726473 39617948633641005
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A017918: 1 20 289 3740 46321 563300 6797569 81762860 982121041 11790305780 141507994849 1698217742780 20379222467761 244553718979460 2934659879368129 35215994824839500
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * (2 + 1)) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021214: 1 21 313 4137 51961 637497 7733881 93310329 1122747001 13491103353 162002078329 1944677972601 23340053875321 280104155744889 3361390924417657 40337537425951353
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021164: 1 20 287 3694 45609 553776 6677779 80295938 964364717 11576444932 138937682871 1667353916982 20008755624625 240107610616088 2881304043028763 34575712094589226
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) * 2)) - 1),i,1) + ((x * 2) * (2 + 1))),x,1)
A021194: 1 18 223 2388 23809 228246 2138131 19746936 180745477 1644848634 14912475799 134865314844 1217706037705 10982863580382 98986827702427 891727782261312
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * (2 + 1))),x,1)
A016308: 1 19 261 3191 37037 419055 4679557 51894967 573363933 6322119551 69634013813 766518346503 8434966982989 92804227849807 1020964052585829 11231309855904599
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A019316: 1 17 195 1885 16571 137277 1092715 8456045 64100091 478409437 3528167435 25777174605 186937014811 1347606967997 9667804397355 69083038251565
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A017931: 1 16 175 1630 13921 112756 881875 6730810 50468341 373414096 2734771975 19868820790 143434778761 1030163245036 7367866260475 52515419443570
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A020579: 1 23 355 4595 53851 592403 6240235 63710915 635468251 6225852083 60146237515 574587484835 5439634923451 51116555484563 477406092913195 4435981769620355
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021814: 1 19 239 2519 24135 218343 1903783 16194343 135426599 1118993447 9166829607 74629521447 604827848743 4885462331431 39365093814311 316610553147431
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021503: 1 18 217 2214 20701 183906 1582129 13325598 110626021 909165114 7418351161 60217256502 486961532461 3927035533842 31604351090113 253963231160526
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019783: 1 19 243 2615 25571 235599 2086603 17981815 151979091 1266533279 10446235163 85502523015 695860175011 5639142048559 45552803794923 367090952376215
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021744: 1 16 167 1442 11193 81228 563179 3779974 24771725 159439280 1012078431 6355276746 39568060897 244679845972 1504794392723 9213774596558
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019483: 1 20 276 3280 36176 383040 3962176 40428800 409195776 4121666560 41395966976 415039672320 4156893515776 41607983022080 416314385842176 4164552265891840
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019793: 1 20 271 3110 32641 324800 3125011 29414090 272851381 2506362980 22871235751 207773763470 1881803862121 17008495407560 153516126074491 1384313656687250
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021414: 1 15 148 1218 9079 63693 429346 2815296 18097717 114645531 718257904 4461736734 27532164115 169004094729 1033087293022 6293858904732
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021202: 1 19 251 2891 31227 326235 3346267 33966427 342687323 3445012571 34558963803 346242670683 3466344910939 34686958350427 347010638983259 3470952722772059
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021174: 1 16 173 1592 13461 108192 841261 6392584 47771141 352537328 2576599389 18689228376 134742802741 966708860224 6908017500557 49202455443368
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A017952: 1 19 253 2935 31861 333919 3431773 34875415 352106821 3541203919 35532912493 356054541895 3564898452181 35675104315519 356907766700413 3570018022624375
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074572: 3 19 125 853 6017 43669 324425 2455213 18847457 146248549 1143973625 9001559773 71140399697 564037211029 4482514190825 35685074651533
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074565: 3 17 101 623 3953 25607 168401 1119863 7509953 50693447 343990001 2344318103 16034846753 110016813287 756855672401 5218820236343
loop(\(x,i).((loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + ((x * 2) * 2)) * 2) - 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021224: 1 18 221 2322 22485 207306 1850557 16149474 138611429 1174801914 9859790733 82107957906 679471095733 5594020809642 45859930816349 374633796970818
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((x * 2) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019512: 1 19 245 2675 26661 251139 2278165 20125075 174364421 1488724259 12567504885 105148209075 873459639781 7213661997379 59291458568405 485407880414675
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A017997: 1 18 223 2364 23053 213654 1914571 16756128 144132505 1223664090 10283600119 85728989892 710053773157 5849984757726 47986764852067 392202340697256
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019613: 1 20 273 3172 33809 342132 3348241 32033924 301669137 2808831124 25937190929 238042888356 2174659962385 19797924540596 179763483454737 1628947562960068
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021364: 1 15 150 1270 9891 73605 533800 3814140 27018981 190442395 1338423450 9390536610 65820843271 461096642385 3229086629100 22609268456680
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A018209: 1 16 173 1580 13161 103656 787333 5836420 42545921 306538496 2190403293 15560186460 110074899481 776359376536 5463959472053 38396009227700
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A017389: 1 15 154 1350 10891 83685 623764 4558380 32875381 234980955 1669192174 11806149810 83252603071 585817587825 4115974729384 28888095527640
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021124: 1 15 152 1314 10479 79821 591214 4301088 30921077 220515867 1563954756 11049405822 77854461595 547524351753 3845386097978 26981280929916
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016313: 1 19 257 3047 33825 361767 3782353 38976439 397835009 4034844935 40743914289 410207399511 4121451795553 41350162566823 414451137963665 4151157965737463
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A017998: 1 19 250 2830 29611 295729 2866900 27241660 255258421 2367929839 21805655950 199711092490 1821621686431 16564149750349 150264234543400 1360686332771320
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x * 2) + 1) * (x + 2)) - 1)),x) + 1)
A155736: 1 2 3 4 5 8 10 12 13 14 15 19 22 23 24 25
(compr(\x.(loop(\(x,i).((x * x) * x),1,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) mod (x + 1)),x) + 1)
A322546: 1 2 3 4 5 7 8 9 11 13 17 19 23
A339841-A334393-A115975: 1 2 3 4 5 7 8 9 11 13 17 19 23 25 27 29
(compr(\x.(1 - (loop(\(x,i).(x * x),2,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) mod (x + 1))),x) + 1)
A105642: 6 10 12 14 15 18 20 21 22 24 26 28 30 32 33 34
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 2) * x) * (2 + 1)) div 2)),x) + 1)
A089681: 1 2 4 6 8 12 14 18 22 26 28 30 34 40 44 48
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((x + 2) * x) * 2) + 1) * 2)),x) + 1)
A143827: 1 2 3 4 5 9 11 12 14 17 18 19 21 23 25 26
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) * 2)) - 1),i,1) + (((x * 2) * 2) * 2)),x,1)
A021264: 1 20 275 3250 35481 369240 3722575 36698750 355853861 3407206660 32301037275 303798758250 2838904214641 26387861071280 244192534790375 2251347094369750
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),x,1)
A016318: 1 21 315 4145 51051 605241 7007155 79874865 900993051 10089880361 112420339395 1248076978785 13820472734251 152758207825881 1686204348094035 18595160325141905
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021764: 1 18 215 2160 19821 172638 1456915 12056220 98541641 799142058 6448579215 51871439880 416407919461 3338534836278 26744994007115 214144960297140
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A019671: 1 22 332 4280 50736 571872 6238912 66567040 699159296 7259766272 74744097792 764616652800 7783588704256 78935331561472 798149140201472 8051859072450560
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A020343: 1 22 327 4100 46781 503202 5201827 52278640 514595961 4986022382 47721236927 452316244380 4253691236341 39747202125562 369442770633627 3418759065309320
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021434: 1 17 194 1882 16827 143835 1197868 9822164 79783253 644325253 5184986742 41632083246 333818409679 2674358387471 21413929824416 171406773741928
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021268: 1 21 305 3825 44481 494721 5346625 56661825 592183361 6126355521 62899732545 642086748225 6525582872641 66093551865921 667637303808065 6729987319337025
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A018069: 1 21 307 3873 45235 504633 5465323 58007361 606913219 6283868745 64556638939 659310178449 6703052628403 67910134629657 686138217844555 6917677165178337
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074558: 3 18 122 882 6578 49818 380522 2922882 22548578 174591018 1356276122 10567438482 82561295378 646646418618 5076274366922 39931947947682
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021379: 1 17 198 2002 19019 175539 1598416 14463284 130489557 1175715541 10586766554 95302471446 857809330015 7720634709623 69487122519012 625389764724088
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021134: 1 17 200 2050 19731 184047 1688890 15362600 139076861 1255760077 11322184380 102001381950 918521058391 8269232646107 74435809450670 669985863300100
(compr(\x.(1 - loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(x - ((1 - (x * 2)) * 2)))),x) - 1)
A153380: 0 3 4 6 9 11 12 15 16 18 20 21 24 25 27 28
loop(\(x,i).((x * 2) * (2 + 1)),x,loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),x,1))
A089513: 1 90 6156 387720 23705136 1432922400 86230132416 5179923146880 310942155338496 18660051727004160 1119687641441381376 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A018912: 1 19 251 2879 30891 320439 3266131 32986399 331554971 3324266759 33287301411 333100377519 3332157369451 33327408774679 333303531583091 3333183608754239
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A019682: 1 23 363 4891 60515 710619 8059507 89191307 969344739 10390594555 110181318611 1158295737963 12091317123523 125488476039131 1296062772061875 13331230899395659
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A021384: 1 18 225 2470 25701 261378 2632345 26400990 264329901 2644608538 26451412065 264535693110 2645444018101 26454790920498 264549319337385 2645498855426830
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A021094: 1 18 233 2718 30549 338706 3736561 41145606 452775917 4981233114 54796358409 602771123214 6630527086405 72935976891042 802296461596577 8825263940808342
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A017065: 1 18 235 2760 31141 345918 3819295 42071220 463025881 5094274218 56041033555 616467614880 6781209278221 74593565712918 820530282235015 9025837356505740
(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) + 1) * 2)) + 1),x,1) div loop(\(x,i).((x * 2) * 2),x,1))
A108870: 1 4 9 20 46 103 233 525 1182 2660 5985 13467 30301 68178 153401 345152
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))
A074562: 3 16 90 532 3282 20956 137370 918052 6220962 42568876 293289450 2030349172 14102205042 98176822396 684595023930 4779152829892
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),x,1)
A016301: 1 18 237 2810 31941 356538 3947917 43557210 479780181 5280836858 58105480797 639241667610 7032065242021 77354752161978 850912446296877 9360087771874010
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A021144: 1 18 227 2520 26481 271278 2745247 27615060 276964061 2773708938 27757433067 277676053200 2777269152841 27775234648998 277765062125687 2777714199500940
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A017916: 1 18 229 2562 27061 278058 2818549 28377522 284741941 2852272698 28547052469 285592329282 2856532847221 28568377838538 285699029999989 2857066572421842
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A018090: 1 22 337 4450 54301 631462 7111417 78287530 847442101 9055541902 95785566097 1004927161810 10472915657101 108541954516342 1119734731454377 11506184005511290
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016322: 1 22 345 4730 60461 740982 8834065 103324210 1191912021 13609144142 154183593785 1736366607690 19463156373181 217362833310502 2420404185281505 26889163207923170
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A021054: 1 17 212 2422 26943 297339 3273754 36020624 396255365 4358895541 47948112576 527430027306 5801732675467 63819066571823 702009753747878 7722107355665668
(loop(\(x,i).loop(\(x,i).(x * x),(x - 1),(if x <= 0 then 1 else (((x * x) * x) * (x * x)))),1,(x + 1)) div (((x + 2) * x) + 1))
A008972: 1 256 387420489 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 1) * x) * (2 + 1)) - 2)),(x + 1))
A138918: 1 3 4 5 6 10 11 13 14 15 20 24 25 26 28 29
((((loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1) + loop(\(x,i).(x * 2),x,1)) - 1) - (x mod 2)) mod (x + 1))
A318841: 0 1 1 3 1 4 1 7 7 6 1 10 1 8 7 15
loop(\(x,i).(if x <= 0 then 1 else (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,x) * (((x mod 2) * 2) - 1))),1,(x - 1))
A158500: 1 1 1 ~4 15 ~56 210 ~792 3003 ~11440 43758 ~167960 646646 ~2496144 9657700 ~37442160
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1))
A074552: 3 15 83 495 3107 20175 134003 903855 6161987 42326415 292299923 2026332015 14085959267 98111307855 684331371443 4778093436975
loop(\(x,i).(((x * x) * x) * (x * x)),1,loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1) * x),x,1))
A342455: 1 32 7776 24300000 408410100000 65774855015100000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1),1,i) + x),x,1)
A130665: 1 4 7 16 19 28 37 64 67 76 85 112 121 148 175 256
(((loop(\(x,i).(x * 2),x,2) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x mod 2) + 1))) + 1) div 2)
A164991: 1 1 3 6 13 26 54 108 221 442 898 1796 3634 7268 14668 29336
(loop(\(x,i).(((2 + 2) + 1) * x),(x - 1),loop(\(x,i).(x * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + 1))) div 2)
A163449: 1 11 1010 100100 10001000 1000010000 100000100000 10000001000000 1000000010000000 100000000100000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2) mod ((2 + 2) + 1)) + 1) * (2 + 1)) div 2)
A245093: 1 1 3 1 3 4 1 3 4 7 1 3 4 7 6 1
(((loop(\(x,i).(x * 2),(x - 1),2) + loop(\(x,i).((x + 1) * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)) + ((2 + 1) * 2))
A271743: 10 15 29 63 149 375 989 2703 7589 21735 63149 185343 547829 1627095 4848509 14479983
(loop(\(x,i).(((x * 2) * 2) * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),(2 + 1)) div 2)
A059154: 12 96 12 768 12 96 12 6144 12 96 12 768 12 96 12 49152
((loop(\(x,i).(((((x + 2) + 2) + 1) * x) div 2),1,loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)) - 2)
A134018: 0 1 3 10 45 226 1113 5230 23565 102826 438273 1836550 7601685 31183426 127084233 515429470
(loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) - 2)
A124659: 13 33 141 321 897 1761 3597 5181 10401 11661 19041 22497 32397 36861 39201 51981
(loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) * 2)
A071142: 30 70 286 646 1798 3526 7198 10366 20806 23326 38086 44998 64798 73726 78406 103966
(loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) div 2)
A120876: 7 17 71 161 449 881 1799 2591 5201 5831 9521 11249 16199 18431 19601 25991
((((if x <= 0 then 1 else loop(\(x,i).((((loop(\(x,i).(i * x),x,1) - (x mod 2)) + 1) * x) div 2),1,(x - 1))) + x) * (x - 1)) + 2)
A169982: 1 2 4 14 41 222
(((if (x mod 2) <= 0 then (((2 - ((x div 2) mod 2)) * ((2 + 2) + 1)) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1)) - (if x <= 0 then 1 else 2))
A040868: 29 1 28 1 58 1 28 1 58 1 28 1 58 1 28 1
(loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(((x div 2) + x) * (x div 2)),1,loop(\(x,i).((2 + 1) * x),x,(2 + 1))) div 2)) div 2)
A227524: 1 39 1170 32670 891891 24169509 653373540 17648258940 476567558181 12867905191779 347438670325110 9380891170278810 253284485241566871 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) div 2) div 2)
A117849: 2 6 30 72 210 420 870 1260 2550 2862 4692 5550 8010 9120 9702 12882
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + loop(\(x,i).((i + x) * (x + 1)),2,2))
A138693: 114 119 135 159 231 279 399 471 639 951 1071 1479 1791 1959 2319 2919
(if x <= 0 then 1 else ((loop(\(x,i).((if x <= 0 then 1 else ((((x + 2) * 2) * ((2 + 2) + 1)) + 1)) + 1),(x div 2),(x mod 2)) + 2) * 2))
A250256: 1 6 8 68 88 688 888 6888 8888 68888 88888 688888 888888 6888888 8888888 68888888
(if x <= 0 then 0 else (loop(\(x,i).(x * 2),(x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)),1) mod (2 + 2)))
A105661: 0 1 1 2 1 2 1 0 0 2 1 0 1 2 0 0
(compr(\x.((((if (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 2 else 1)),x,x) + 1) <= 0 then 1 else x) + 1) mod ((2 + 2) + 1)) - 1),x) + 2)
A045372: 2 7 11 17 31 37 41 47 61 67 71 97 101 107 127 131
loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),x,2),1,((((2 + 2) + 1) * x) + 2))
A140762: 30 9699690 304250263527210 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((x + 2) + 2) * x) * 2) + 1)),x) + 2)
A091271: 2 4 5 9 10 14 16 19 21 24 26 31 35 39 40 45
(((loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),(x div 2),((x mod 2) + 1)) + loop(\(x,i).(x * 2),x,1)) * x) div 2)
A230137: 0 2 6 18 44 110 252 588 1304 2934 6380 14036 30120 65260 138712 297240
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) + x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A088805: 102 1003 100005 10000007 100000000011 10000000000013 100000000000000017 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A088736: 98 997 99995 9999993 99999999989 9999999999987 99999999999999983 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),x,1) + ((x * x) * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A097059: 17 54 368 2530 178478 1596520 129145076 1162268326 94143190994 68630377389272 617673396313738 450283905891048016 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.(x - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x - 2),x)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A201363: 2 3 7
A055003: 2 3 7 13 29 37 53 61 79 107 113 151 173 181 199 239
compr(\x.(x - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),x)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A006450: 3 5 11 17 31 41 59 67 83 109 127 157 179 191 211 241
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(if (x - (((2 + 2) + 1) * 2)) <= 0 then x else (x + 2)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A283225: 2 3 5 7 11 13 17 19 23 29 31 43 47 53 59 61
((loop(\(x,i).(x * 2),(if (loop(\(x,i).((x * x) * 2),(x * 2),2) div 2) <= 0 then 1 else (((x * 2) * 2) + 1)),2) - 1) - (x * 2))
A224451: 3 61 1019 4611686018427387903 4611686018427387903
((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((((2 + 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1)) else 1) + (x mod 2))
A040434: 21 2 1 4 1 2 42 2 1 4 1 2 42 2 1 4
((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((2 + 2) + 1)) else 2) - (x mod 2))
A040634: 25 1 2 4 2 1 50 1 2 4 2 1 50 1 2 4
((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * ((2 + 2) + 1)) else 1) * (2 + 1)) else 2) - (x mod 2))
A040912: 30 1 2 2 2 1 60 1 2 2 2 1 60 1 2 2
((if (x mod (2 + 1)) <= 0 then ((((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) * 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2)))
A040685: 26 1 2 6 2 1 52 1 2 6 2 1 52 1 2 6
compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x * 2) + 1) * 2) * (2 + 1))) - 1),x)
A010375: 0 1 3 4 5 9
A139531: 0 1 3 4 5 9 10 11 14 16 18 21 23 24 25 26
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((x * 2) + 1) * 2) * (2 + 1)) - 1)),x)
A139529: 0 1 2 4 6 7 9 11 14 15 16 17 22 25 27 29
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 2) * 2) * ((x * 2) + 1)) - 1)),x)
A105135: 0 3 7 10 12 13 18 27 30 31 37 40 42 46 48 55
((((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else loop(\(x,i).(((x - 1) * x) div 2),(2 + 1),x))) * (x + 1)) + 1) div (2 + 1)) + x)
A327129: 0 1 2 35 2804
((((((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((i * i) + x),x,0) mod (x + 1)),1,i) + x),x,0) div 2) div 2) + x) div 2) + 1) + x)
A022301: 1 2 4 6 7 9 10 12 15 17 18 20 21 24 27 29
compr(\x.loop(\(x,i).(2 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) - 1))),1,((x * 2) + 1)),x)
A105134: 2 4 5 8 14 17 19 25 28 32 35 37 38 47 50 53
(if x <= 0 then ((((2 + 2) * 2) * 2) + 1) else (loop(\(x,i).((x * x) * x),1,loop(\(x,i).((x * x) * x),2,((x * 2) + 1))) * x))
A271562: 17 7625597484987 4611686018427387903
(2 - (if (x mod (((2 + 2) * 2) + 1)) <= 0 then 1 else (loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x)))
A330261: 1 0 1 ~1 1 0 1 ~2 1 1 1 ~1 1 0 1 ~3
compr(\x.(1 - loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 2) * (x + 1)) - 1) * 2))),x)
A153264: 0 3 5 6 8 9 10 12 15 17 18 19 20 21 24 25
(if x <= 0 then 1 else (x - loop(\(x,i).(x - (((x mod (((if (x mod 2) <= 0 then 1 else (x div (2 + 2))) * 2) + 1)) + 1) div (2 + 1))),2,x)))
A343873-A054923: 1 0 1 0 0 1 0 0 1 2 0 0 0 2 3 0
((((((loop(\(x,i).(i * x),(x - 1),loop(\(x,i).loop(\(x,i).(i - 2),((i + x) div 2),1),x,1)) div 2) + 1) div 2) * 2) * 2) * x)
A052521: 0 0 0 0 0 0 720 10080 120960 1451520 18144000 239500800 3353011200 49816166400 784604620800 13076743680000
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((x * 2) * 2) + 1) * 2) * 2) - x)),x)
A158614: 0 1 2 3 4 6 8 9 10 13 14 15 16 17 21 23
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (1 - (if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 0)))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A226159: 2 3 5 7 11 13 17 19 23 29 31 ~37 41 43 47 53
(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x div 2),(((x mod 2) * 2) + 1)) + loop(\(x,i).((x * 2) + 1),x,0))
A231407: 1 4 6
A261682: 1 4 6 16 25 61 98 232 381 889 1485 3433 5811 13339 22818 52072
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(1 - loop(\(x,i).(((x - ((2 + 1) * 2)) * 2) * ((2 + 2) + 1)),x,0))) - 1)
A246880: 0 609 66099 6660999 666609999 66666099999 6666660999999 666666609999999 66666666099999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x - ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)))
A049820: 0 0 1 1 3 2 5 4 6 6 9 6 11 10 11 11
(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1))
A177876: 2 3 3 4
A334954: 2 3 3 4 3 5 3 5 4 5 3 7 3 5 5 6
(loop(\(x,i).(x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)),1,(x - (if x <= 0 then 0 else 1))) + 1)
A323436: 1 1 1 1 2 1 2 1 3 2 2 1 3 1 2 2
(((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A166923: 4 9 7 4 4 7 1 1 7 4 7 1 7 4 4 1
((x + 1) div ((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) * ((x div ((2 + 2) * 2)) + 1)) + 1))
A324120: 0 0 0 1 0 2 0 2 1 2 0 2 0 2 2 3
(((loop(\(x,i).(x * x),1,((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1)) div 2) div ((2 + 2) + 1)) - 1)
A332193: 3 939 99399 9993999 999939999 99999399999 9999993999999 999999939999999 99999999399999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(x - (2 mod (0 - ((x div ((2 + 2) + 1)) + 1)))))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A233393-A233265: 2 3 5 7 11 13 17 19 23 29 37 41 43 47 53 61
((loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * (2 + 1)) + 1)
A332131: 1 313 33133 3331333 333313333 33333133333 3333331333333 333333313333333 33333333133333333 3333333331333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),x,1)) * (2 + 1)) - 1)
A332192: 2 929 99299 9992999 999929999 99999299999 9999992999999 999999929999999 99999999299999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 2) + 1) * x) + 2) * 2),x,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) * (2 + 1)) + 1)
A332134: 4 343 33433 3334333 333343333 33333433333 3333334333333 333333343333333 33333333433333333 3333333334333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 2 else (x - ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) - 1)))
A059292: 2 2 3 3 5 4 7 6 8 8 11 8 13 12 13 13
((x + 1) div (if x <= 0 then 1 else ((((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) div 2) mod 2) + 1) * 2) * (2 + 1)) - 1)))
A127838: 1 0 0 0 1 0 0 1 1 0 1 2 1 1 3 3
((((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) + 1) * 2) * (2 + 1)) - 1)
A092256: 35 65 77 95 119 125 143 155 161 185 203 209 215 221 245 275
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div 2) mod (((2 + 2) * (2 + 1)) - 1))
A024715: 1 2 5 7 1 4 0 2 7 2 4 0 4 7 2 1
(((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((x * 2) * (x + 1)))),x) * 2) div (2 + 1)) + 1)
A232011: 1 3 5 7 11 13 15 19 27 33 35 37 39 41 49 57
(2 div (if x <= 0 then 2 else (((loop(\(x,i).(x - (1 - ((x * 2) mod (2 - (x mod ((0 - 2) - 2)))))),2,x) + x) mod (2 + 1)) + 1)))
A035169: 1 0 1 1 2 0 1 0 1 0 2 1 0 0 2 1
((loop(\(x,i).(((x * 2) - 1) * ((2 + 2) + 1)),((x * 2) + 1),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) - 1)
A332143: 3 434 44344 4443444 444434444 44444344444 4444443444444 444444434444444 44444444344444444 4444444443444444444 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),((x * 2) + 1),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) - 1)
A332189: 9 898 88988 8889888 888898888 88888988888 8888889888888 888888898888888 88888888988888888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),((x * 2) + 1),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) - 1)
A332187: 7 878 88788 8887888 888878888 88888788888 8888887888888 888888878888888 88888888788888888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 2),(x * 2),2) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1)
A332132: 2 323 33233 3332333 333323333 33333233333 3333332333333 333333323333333 33333333233333333 3333333332333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(1 - (((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,((x * 2) + 1)) mod (x + 1)) div 2) mod (2 + 1))),(x + 1)) + 1)
A174166: 4 6 9 10 12 15 16 21 22 24 27 30 34 36 40 42
loop(\(x,i).(loop(\(x,i).((((((((i * 2) + 1) * x) * 2) * ((i * 2) - 1)) div (i + 1)) * 2) * i),i,1) * x),(x - 1),1)
A107252: 1 1 6 1440 36288000 184354652160000 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),((x + 1) div (((x div 2) div ((2 mod (if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1)) + 1)) + 2)),1)
A295557: 1 2 2 2 2 8 2 2 2 8 2 16 2 8 8 2
((loop(\(x,i).(x * x),1,((loop(\(x,i).((x - (((1 - x) * 2) * (2 + 1))) * (x + 1)),2,2) * (x + 1)) + 1)) * 2) - 1)
A157081: 32821201 131252401 295293601 524944801 820206001 1181077201 1607558401 2099649601 2657350801 3280662001 3969583201 4724114401 5544255601 6430006801 7381368001 8398339201
((loop(\(x,i).(x * x),1,((loop(\(x,i).((x - (((1 - x) * 2) * (2 + 1))) * (x + 1)),2,2) * (x + 1)) - 1)) * 2) - 1)
A157080: 32788801 131187601 295196401 524815201 820044001 1180882801 1607331601 2099390401 2657059201 3280338001 3969226801 4723725601 5543834401 6429553201 7380882001 8397820801
((((if (x - 1) <= 0 then x else (((((if ((x + 1) mod ((2 - (x mod 2)) + 1)) <= 0 then x else 1) + 1) div 2) + 1) * 2)) + 1) div 2) + 1)
A322809: 1 2 3 4 3 5 3 6 6 7 3 8 3 9 9 10
((x + 1) div ((((((((loop(\(x,i).(x * 2),x,(if (x mod 2) <= 0 then 2 else 0)) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) - 1))
A126773: 1 2 3 1 5 2 7 1 1 2 11 1 13 2 3 1
(loop(\(x,i).(x * 2),x,1) mod (2 - loop(\(x,i).(((x * x) * x) - (((((x * 2) + 1) mod ((2 + 2) + 1)) * 2) + 1)),2,1)))
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A036161: 1 2 4 8 16 32 64 128 29 58 116 5 10 20 40 80
((((((loop(\(x,i).(x * 2),x,(((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1) - (x mod 2))) - 1) mod (x + 1)) div 2) + 1) div 2) + 1)
A304486: 1 1 1 2 1 2 2 3 2 2 1 4 2 4 2 5
(((((if x <= 0 then 0 else (if (x mod ((x mod ((2 + 1) * 2)) + 1)) <= 0 then 2 else 1)) + 1) * ((((x + 1) div 2) div 2) + 1)) div 2) + 1)
A132073: 1 2 2 3 3 3 4 4 4 4 5 5 7 5 5 6
((((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x) * (2 + 2)) + 1) * 2) + 1)
A252802: 3 11 19
A294912-A007520: 3 11 19 43 59 67 83 107 131 139 163 179 211 227 251 283
((((compr(\x.(1 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x) * (2 + 2)) + 1) * 2) + 1)
A294993: 11 19 43 59 67 83 107 131 139 163 179 211 227 251 283 307
(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * (((2 + 1) * 2) + 1))
A093270: 0 700 77000 7770000 777700000 77777000000 7777770000000 777777700000000 77777777000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 div ((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + loop(\(x,i).(x * 2),x,2)) div 2) + 1) mod (((2 + 1) * 2) + 1)))
A035147: 1 0 0 1 0 0 0 0 1 0 2 0 2 0 0 1
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div (2 + 1)) mod (((2 + 1) * 2) + 1))
A024714: 1 2 5 0 5 1 1 0 5 1 0 0 1 5 5 1
((loop(\(x,i).(loop(\(x,i).(x * x),2,(((x * x) * x) * (x * x))) * x),1,(x * x)) div (2 + 1)) div (((2 + 1) * 2) + 1))
A108496: 0 0 209430786243 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then (if x <= 0 then 1 else 0) else (x * 2)) mod (((2 + 1) * 2) + 1))
A259784: 1 0 0 0 1 0 0 0 2 0 0 1 3 5 0 0
((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x) * 2) + 1) * 2) + 1)
A186300: 3 7 15 19 27 31 51 55 75 79 87 91 99 115 135 139
(x - ((loop(\(x,i).(x * 2),(x - 1),(0 - (((loop(\(x,i).(((2 + 1) * x) - 1),(x * 2),1) + x) div 2) + 1))) * 2) + 1))
A131655: 1 8 89 1482
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + (x mod (((2 + 1) * 2) + 1))),x) + 1) * 2) + 1)
A045437: 3 17 31 59 73 101 157 199 227 241 269 283 311 353 367 409
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + (x mod (((2 + 2) + 1) * 2))),x) + 1) * 2) + 1)
A105854: 3 23 43 83 103 163 223 263 283 383 443 463 503 523 563 643
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + ((x + 1) mod ((2 + 1) * 2))),x) + 1) * 2) + 1)
A141122: 13 37 61 73 97 109 157 181 193 229 241 277 313 337
A068228: 13 37 61 73 97 109 157 181 193 229 241 277 313 337 349 373
(((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * 2)))),x) - 1) * 2) - 1)
A111230: 1 3 9 13 15 19 25 27 33 37 43 45 51 67 69 73
((((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1)) mod (x + 1)) div 2) + 1)
A318362: 1 1 1 2 1 2 1 3 3 2 1 5 1 2 3 5
(((x + 1) div (((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * 2),((x mod ((x div 2) + 1)) div 2),2)) - 1) mod (x + 1)) + 2)) + 1)
A338170: 1 1 2 1 2 3 2 1 2 2 2 3 2 3 4 1
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) + 2))),(x + 1)) * 2) - 1)
A111226: 1 5 7 11 17 19 23 25 29 31 37 43 49 53 59 61
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - (1 - (((loop(\(x,i).(((2 + 2) + 1) * x),(x - 2),x) * (x - 1)) div 2) + 1)))
A081911: 1 5 26 140 775 4375 25000 143750 828125 4765625 27343750 156250000 888671875 5029296875 28320312500 158691406250
((((((loop(\(x,i).(x * 2),x,(((loop(\(x,i).(i * x),(x * 2),1) - 1) * x) + 1)) + 1) div (2 + 1)) + 1) div 2) * 2) + 1)
A295169: 1 3 65 5757
((((((((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + loop(\(x,i).(x * 2),x,2)) + 2) + 1) + 2) + 2) + 2) * 2) - 1)
A184042: 25 31 41 61 97 169 305 577 1105 2161 4241 8401 16657 33169 66065 131857
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)))
A005145: 2 3 3 5 5 5 7 7 7 7 11 11 11 11 11 13
((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) + 1)) div (2 + 1)) div ((2 + 2) + 1))
A332168: 8 686 66866 6668666 666686666 66666866666 6666668666666 666666686666666 66666666866666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x - 1) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1)) div (2 + 1)) div ((2 + 2) + 1))
A332164: 4 646 66466 6664666 666646666 66666466666 6666664666666 666666646666666 66666666466666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) + 1)))
A332116: 6 161 11611 1116111 111161111 11111611111 1111116111111 111111161111111 11111111611111111 1111111116111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) + 1)))
A332127: 7 272 22722 2227222 222272222 22222722222 2222227222222 222222272222222 22222222722222222 2222222227222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(x div ((((((loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then (2 + 1) else 0) + x) + x),x,0) mod (x + 1)) + 2) + x) div 2) div 2) + 1))
A206829: 0 1 1 1 2 2 1 1 2 1 1 2 3 1 2 1
(((if x <= 0 then 1 else ((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 2)) + 1)
A076984: 1 1 2 2 2 3 2 3 3 3 2 5 2 3 4 4
(((if (x mod (2 + 2)) <= 0 then ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1) else 1) * (if x <= 0 then 1 else 2)) * (((x mod 2) * 2) + 1))
A040820: 29 6 2 6 58 6 2 6 58 6 2 6 58 6 2 6
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,(1 - loop(\(x,i).(((x - 2) * 2) * ((2 + 2) + 1)),x,0))) * (2 + 1))
A332163: 3 636 66366 6663666 666636666 66666366666 6666663666666 666666636666666 66666666366666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(x * 2),(x - 1),loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * (x + 1)) div (2 + 1)) + 1) mod (2 + 1))
A249223: 1 1 1 0 1 1 1 0 1 1 2 1 0 0 1 1
(if (x - 2) <= 0 then 1 else (loop(\(x,i).((x * 2) * 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1) div (2 + 1)))
A180977: 1 1 1 0 1 0 0 1 1 0 0 1 5 1 0 0
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 2)) + 1) div (2 + 1)) div (2 + 1))
A257121: 0 1 2 3 4 6 8 11 12 15 16 20 21 22 25 26
(((loop(\(x,i).(((x * 2) - 1) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1)) div 2) div (2 + 1)) * (2 + 1))
A093275: 0 75 9750 997500 99975000 9999750000 999997500000 99999975000000 9999999750000000 999999997500000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x mod 2) - (if (x mod (2 + 1)) <= 0 then ((if (x mod ((((x mod 2) * 2) * 2) + 1)) <= 0 then 1 else 0) - (x mod 2)) else 1)) + (2 + 1))
A217607: 2 3 2 5 2 3 2 3 2 5 2 3 2 3 2 4
((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * (2 + 1))
A332169: 9 696 66966 6669666 666696666 66666966666 6666669666666 666666696666666 66666666966666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((x div (((if (x - (2 + 2)) <= 0 then 0 else 2) + 2) + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2))) + ((x + 1) div (2 + 1)))
A314216: 1 5 11 17 22 28 33 38 44 49 55 61 66 71 77 83
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * 2) * (2 + 1))
A332160: 0 606 66066 6660666 666606666 66666066666 6666660666666 666666606666666 66666666066666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if x <= 0 then 2 else ((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((x + 2) div (2 + 1)) else 0) + 1)) * 2) div (2 + 1))
A130207: 1 0 1 0 0 2 0 0 0 2 0 0 0 0 4 0
(((if x <= 0 then 2 else (((((((loop(\(x,i).(i * x),x,1) + 2) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1)) - 2) mod (2 + 1))
A326786: 0 1 1 0 2 2 2 2 1 0 0 0 0 0 0 0
((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A229878: 0 0 1 0 1 2
A238158: 0 0 1 0 1 2 0 2 2 4 0 2 3 4 6 0
(((((loop(\(x,i).(loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),i,1) + (x * 2)),x,1) + 1) div 2) + 1) * 2) div (2 + 1))
A139627: 1 1 2 4 12 37 162
((if x <= 0 then 1 else (x * 2)) - (((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)))
A286002: 1 2 4 5 8 8 12 12 15 16 20 18 24 24 26 27
((((loop(\(x,i).((loop(\(x,i).(i * x),x,((((2 + 2) + 1) * x) + 1)) div 2) + 1),1,(x + 2)) div 2) + 1) div 2) div (2 + 1))
A141052: 1 4 21 130 930 7560 68880 695520 7711200 93139200 1217462400 17124307200 257902444800 4140968832000 70614415872000 1274546617344000
((((loop(\(x,i).(x * 2),(x div 2),((x mod 2) + 2)) + 2) + loop(\(x,i).(x * 2),x,1)) + 2) + (((2 + 1) * 2) * (2 + 1)))
A183982: 25 27 30 36 46 66 102 174 310 582 1110 2166 4246 8406 16662 33174
((if x <= 0 then 0 else (x - ((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod ((x * 2) - 1)) - 2))) mod (2 + 1))
A059018: 0 0 2 2 0 1 2 0 2 2 0 0 2 0 1 2
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),(((((2 + 1) * 2) + 1) * x) + 1)) * 2) + (2 + 1))
A031394: 5 29 59 89 127 163 197 239 277 317 367 409 449 491 547 593
(((compr(\x.(2 - ((loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then 2 else (x mod 2))) - 1) mod (x + 1))),x) + 1) * 2) + (2 + 1))
A075824: 9 11 17 19 21 25 27 33 35 39 41 43 45 49 51 53
((((loop(\(x,i).((x - i) * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) div 2) div 2) div 2) div (2 + 1))
A262248: 0 0 5 35 330 715 2380 3876 8855 23751 31465 66045 101270 123410 178365 292825
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 2) + (((2 + 2) * 2) * (2 + 1)))
A138689: 30 35 51 75 147 195 315 387 555 867 987 1395 1707 1875 2235 2835
((((if x <= 0 then 1 else (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then ((2 + 2) * 2) else 1)) + x) mod ((2 + 2) * 2)) mod (2 + 1))
A280634: 1 1 0 0 2 0 1 1 1 2 0 1 2 0 1 1
(((loop(\(x,i).(((x * x) div 2) * x),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) div 2) div 2) div (2 + 1))
A127922: 1 5 14 55 91 204 285 506 1015 1240 2109 2870 3311 4324 6201 8555
((loop(\(x,i).(((x * x) div 2) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A138422: 1 6 50 196 1210 2366 6936 10830 23276 58870 76880 156066 235340 284746 406456 657306
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + (((x * 2) * 2) * (2 + 1)))
A121199: 2 24 98 504 3074 19992 133346 901752 6155522 42306840 292240994 2026155000 14085427970 98109713688 684326588642 4778079088248
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + (((x * 2) * 2) * (2 + 1)))
A121202: 0 14 48 254 1824 13742 102096 745502 5374272 38400590 272709744 1928498750 13597146720 95668307438 672119557392 4717043931998
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) * (2 + 1))
A332139: 9 393 33933 3339333 333393333 33333933333 3333339333333 333333393333333 33333333933333333 3333333339333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) + (loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) * (2 + 1)))
A332117: 7 171 11711 1117111 111171111 11111711111 1111117111111 111111171111111 11111111711111111 1111111117111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),(x * 2),2) + (loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) * (2 + 1)))
A332128: 8 282 22822 2228222 222282222 22222822222 2222228222222 222222282222222 22222222822222222 2222222228222222222 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * x) * x) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138433: 8 72 1000 5488 53240 123032 471648 823080 2141392 6828920 9533120 23097768 38595760 48976312 76413728 139348872
(loop(\(x,i).((((x * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138425: 10 80 1040 5600 53680 123760 473280 825360 2145440 6837040 9543040 23114640 38618720 49002800 76448320 139398480
(loop(\(x,i).((((x * x) * (x * x)) div 2) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138427: 5 40 520 2800 26840 61880 236640 412680 1072720 3418520 4771520 11557320 19309360 24501400 38224160 69699240
(compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) * (x + 1)))),x) div (2 + 1))
A201541: 0 1 2 3 8 11 12 16 22 23 38 43 47 51 53 67
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) mod (2 + 1))
A137264: 1 2 2 1 2 1 2 1 0 2 0 1 2 1 0 0
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) * (2 + 1)) + 1))),x) * 2) + 1)
A024909: 1 3 5 7 13 15 17 19 27 29 33 35 39 43 45 47
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((x + 1) * x) + 2) * 2) + 1))),x) * 2) + 1)
A114275: 1 5 7 13 19 23 29 35 37 41 43 47 55 61 85 89
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * (2 + 1))))),x) * 2) - 1)
A024902: 1 7 9 15 19 21 25 27 37 39 49 55 61 69 79 81
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - (1 - ((x * 2) * (2 + 1)))))),x) * 2) - 1)
A111249: 3 5 9 15 17 27 29 33 39 47 53 59 63 65 69 77
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - (2 - ((x * 2) * (2 + 1)))))),x) * 2) - 1)
A024900: 1 5 11 13 19 23 25 31 35 41 43 49 59 61 65 71
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((2 + 1) * 2) + 1) * x) + 1))),x) * 2) + 1)
A024901: 1 3 7 9 13 15 19 25 33 37 39 45 55 57 63 67
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),((x * 2) + 1),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) - 1)
A332186: 6 868 88688 8886888 888868888 88888688888 8888886888888 888888868888888 88888888688888888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) * 2) - 1)
A100803: 1 3 3 7 3 7 3 7 11 3 11 7 3 7 11 11
loop(\(x,i).((if x <= 0 then 1 else (x * 2)) - (((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) - 1)),(x * 2),1)
A147597: 1 7 31 119 455 1799 7175 28679 114695 458759 1835015 7340039 29360135 117440519 469762055 1879048199
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(x - ((x * x) div (((x div 2) + (x * 2)) - 1))))
A079953: 2 2 3 5 7 7 11 11 13 17 17 19 23 23 29 29
compr(\x.(((if (x mod 2) <= 0 then 2 else ((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) mod (2 + 1)) - 1),((x * 2) + 1))
A233388: 11 19 35 47 59 67 79 91 107 115 131 143 155 171 179 191
((if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,(x - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 1))
A293484-A000010: 1 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8
(compr(\x.((x mod (((loop(\(x,i).(x * 2),x,(1 - loop(\(x,i).((x - (i mod 2)) * 2),x,0))) - 1) mod (x + 1)) + 1)) - 1),x) + 1)
A325100: 1 2 3 5 6 7 11 13 14 17 19 21 23 26 29 31
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((x div (((2 + 2) * (2 + 1)) + 1)) + x)) + 1)
A214583: 3 4 6 8 12 14 18 20 24 30 32 38 42 48 54 60
(compr(\x.(1 - (x mod (((((if (x mod 2) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (2 + 1)) - 1) mod (x + 1)) + 1))),x) - 1)
A231407: 1 4 6
A286494: 1 4 6 7 10 11 12 13 15 16 17 18 19 22 24 25
(compr(\x.(1 - ((x - (((loop(\(x,i).(x * 2),(if (x mod (2 + 1)) <= 0 then x else 1),2) mod (x + 1)) div 2) - 1)) mod (2 + 1))),x) + 1)
A231408: 1 2 4 6 9
A288623: 1 2 4 6 9 10 12 15 16 18 21 22 24 25 27 28
(compr(\x.(1 - (((loop(\(x,i).((x div 2) * x),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) div 2) mod (2 + 1))),x) + 1)
A028786: 5 7 10 11 13 14 15 17 20 21 22 26 28 29 30 31
loop(\(x,i).((loop(\(x,i).(((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A022231: 1 57 2850 140050 6865251 336416907 16484565700 807744680100 39579496050501 1939395353553757 95030372653688550 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(loop(\(x,i).(((loop(\(x,i).(((x * 2) + 1) * x),2,2) * (x + 1)) + 2) * (x + 1)),2,(2 + 1)) mod (x + 1)),x) + 1)
A185092: 1 2 3 4 6 12
A018765: 1 2 3 4 6 12 83 166 249 332 498 996
(((((((2 + 2) * 2) * 2) + 1) * x) + (x div 2)) mod (loop(\(x,i).loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)),2,x) + 1))
A101979: 0 1 1 0 2 1 1 0 2 1 3 0 2 1 1 0
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1))
A083553: 2 8 24 60 120 192 288 396 616 840 1080 1440 1680 1932 2392 3016
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1))
A037166: 4 12 30 70 132 208 306 418 644 870 1116 1480 1722 1978 2444 3074
(x - ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) - 1))
A123128: 2 4 5 8 7 10 9 12 15 12 17 16 15 18 21 22
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) * (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1))
A037167: 3 10 28 66 130 204 304 414 638 868 1110 1476 1720 1974 2438 3068
((loop(\(x,i).(x * x),2,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (x + 1)) * (((x + 2) * x) + 1))
A186419: 1 8 432 40000 4802000 672126336 104133351168 17341997916672 3048398071290000 558804401233936000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((((if x <= 0 then 1 else ((((x div ((2 + 2) * 2)) + x) + 1) * (2 + 1))) div 2) + 1) div 2) mod 2) + (x * 2)),x,1)
A222011: 1 2 4 8
A160686: 1 2 4 8 16 32 64
A117302: 1 2 4 8 16 32 64 129 258 516 1032 2064 4128 8256 16513 33026
((0 - loop(\(x,i).(x * x),1,((x mod ((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1))) mod (x + 1))
A326186: 0 1 2 0 4 5 6 0 0 9 10 8 12 13 14 0
((((if x <= 0 then 1 else x) div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1) * (x + 1))
A129598: 2 4 9 8 25 18 49 16 27 50 121 36 169 98 75 32
((loop(\(x,i).((x div 2) * x),1,((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1))) + 1) mod (x + 1))
A318577: 0 1 1 1 1 1 1 3 1 1 1 4 1 1 1 11
((x mod ((2 + 2) * 2)) mod (if x <= 0 then 2 else (loop(\(x,i).((x * x) * x),2,((((2 + 1) * 2) * (2 + 1)) + 1)) mod (x + 1))))
A165072: 0 0 0 0 0 0 0 1 0 1 2 3 4 5 2 1
((((((loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x) * x) div 2) * (2 + 1)) + 1) div (x + 1))
A340785: 1 2 1 3 1 2 1 5 1 2 1 4 1 2 1 7
compr(\x.(((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) + 1) mod (2 + 1)) + 1) mod (x + 1)) - 1),(x + 1))
A026179: 1 2 5 6 8 11 14 15 17 18 20 23 24 26 29 32
loop(\(x,i).loop(\(x,i).((((x + 1) * 2) * ((2 + 2) + 1)) + 1),((x * 2) + 1),1),1,((((x + 2) * x) + 1) * (x + 1)))
A091189: 2221 222222222222222221 4611686018427387903
(((loop(\(x,i).(x * 2),((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1),1) - 1) mod (x + 2)) mod (x + 1))
A124372: 0 1 1 3 1 1 1 6 7 1 1 2 1 1 1 12
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) * (x + 1))
A231407: 1 4 6
A141042: 1 4 6 16 10 24 14 32 54 20 66 48 26 56 90 96
(if x <= 0 then 0 else ((((if x <= 0 then 1 else (((x - ((((2 - x) * (x * 2)) * (x - 1)) div (2 + 1))) - 2) * 2)) + x) + x) + 1))
A092679: 0 1 5 17
A174794: 0 1 5 17 45 97 181 305 477 705 997 1361 1805 2337 2965 3697
((if ((x mod ((((2 + 2) * 2) * 2) - 1)) - 1) <= 0 then (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) else 0) div 2)
A291551: 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 26
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) div ((2 + 2) + 1)) + 1) div 2)
A120440: 0 1 1 2 3 4 6 7 10 11 14 15 18 19 20 23
((((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) + 1) * (2 + 1)) + 1) * 2)
A343974: 38 68 80 98 122 128 146 158 164 188 206 212 218 224 248 278
((((compr(\x.loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((2 + 1) * x) + 1)),x) + 2) * (2 + 1)) - 1) * 2)
A064635: 40 70 82 100 124 130 148 160 166 190 208 214 220 226 250 280
((((x + 1) div (if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2))) - 1) * 2)
A279228: 0 0 0 0 2 0 4 0 2 0 8 0 10 2 4 0
((((((loop(\(x,i).(x * 2),x,(if (((x div 2) + x) mod (2 + 2)) <= 0 then 1 else 2)) mod (x + 1)) div 2) * (2 + 1)) div 2) + 1) div 2)
A229878: 0 0 1 0 1 2
A326987: 0 0 1 0 1 2 1 0 2 2 1 3 1 2 3 0
(if x <= 0 then 1 else (((x div (((((if x <= 0 then 1 else ((x mod ((x div (2 + 2)) + 2)) + 2)) * 2) + 1) mod (x + 1)) + 2)) + 1) * 2))
A179651: 1 2 2 2 4 4 2 2 4 4 2 2 4 4 2 6
(((x + 1) * 2) - (if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,(x - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1) * 2)))
A053196: 1 2 4 4 6 8 8 8 12 12 12 16 14 16 22 16
((x + 2) - ((x + 1) div (if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2))))
A244361: 1 2 3 4 4 6 5 8 8 10 7 12 8 13 13 16
((((loop(\(x,i).((((x * 2) div (((if ((x div 2) - 2) <= 0 then 1 else 2) * (2 + 1)) + 2)) + x) + 2),x,1) + 2) + 2) + 1) + 2)
A120166: 8 10 13 16 20 25 31 39 49 61 76 95 119 149 186 232
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 1) mod (2 + 2)) + 1) div 2)
A074943: 1 2 2 0 2 1 2 1 0 1 2 0 2 1 1 2
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)) - 2) mod ((2 + 2) + 1)) - 2)
A120439: ~1 1 2 ~2 0 2 0 2 2 ~2 ~2 0 0 2 ~2 ~2
((if (((x div (2 + 2)) + 1) mod (2 + 2)) <= 0 then loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) else x) mod (((2 + 2) + 1) * 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A081286-A080867: 0 1 2 3 4 5 6 7 8 9 0 1 3 7 5 1
(compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x) + (((2 + 2) + 1) * 2))
A108584: 10 11 12 14 15 17 18 20 21 26 27 29 32 33 36 38
(if x <= 0 then 1 else (((((if x <= 0 then 2 else (((x * 2) * 2) - (((x - 1) mod ((x div 2) + 2)) div 2))) * 2) + 1) div (2 + 1)) * 2))
A315215: 1 6 10 14 20 26 32 38 42 46 52 58 62 66 72 78
((if (x - 1) <= 0 then x else (((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1))) + 2)
A096737: 2 3 2 3 2 4 2 4 3 4 2 6 2 4 4 5
(((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),(x div 2),(((x + 2) + 2) * x))),(x + 1)) + 2) div (2 + 1)) div 2)
A056956: 1 2 3 6 7 11 13 16 17 18 21 27 32 37 38 46
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * 2)
A062011: 2 4 4 6 4 8 4 8 6 8 4 12 4 8 8 10
(if x <= 0 then 1 else (((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) * 2))
A131089: 1 4 4 6 4 8 4 8 6 8 4 12 4 8 8 10
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((((x * x) div (x - ((2 - x) div 2))) + 1) div 2))
A087731: 2 3 3 3 5 5 5 5 7 7 11 11 11 11 13 13
((compr(\x.((x + 1) mod (((if x <= 0 then 1 else (2 - (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)))) mod (2 + 1)) + 1)),x) + 1) * 2)
A280270: 6 8 12 18 20 24 28 30 32 36 40 42 44 48 50 52
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * (2 + 1))))),x) - 1) * 2)
A101123: 0 6 8 14 18 20 24 26 36 38 48 54 60 68 78 80
((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 1)) + loop(\(x,i).((x * 2) * 2),x,1)) div 2)
A277924: 1 4 15 57 219 848 3302 12911 50643 199140 784626 3096514 12236830 48412432 191718188 759852347
((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 2),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 2)
A332145: 5 454 44544 4445444 444454444 44444544444 4444445444444 444444454444444 44444444544444444 4444444445444444444 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((x + 1) * 2) div (loop(\(x,i).(x div (2 - (x mod 2))),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 2))
A023506: 0 1 2 1 1 2 4 1 1 2 1 2 3 1 1 2
((if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,(x - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1) * 2)) * ((x + 1) div 2))
A079242: 0 2 2 8
A268342: 0 2 2 8 8 12 18 32 24 40 50 48 72 84 56 128
(2 - ((((((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) - 1) - (x mod 2)) - (x mod 2)) * (if x <= 0 then 1 else 2)))
A327951: 3 8 2 6 0 8
(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + x) + (if x <= 0 then 1 else 2))
A158907: 1 3 4 6 6 9 8 11 11 13 12 17 14 17 18 20
((((x + 1) div (((((x + 1) div 2) div 2) + 2) - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x))) + 1) + 2)
A107574: 3 4 4 5 4 5 6 5 5 6 5 7 6 5 6 7
((loop(\(x,i).(((((2 + 2) + 1) * x) + 1) * 2),x,(1 - loop(\(x,i).(((x - 2) * 2) * ((2 + 2) + 1)),x,0))) * 2) * 2)
A332184: 4 848 88488 8884888 888848888 88888488888 8888884888888 888888848888888 88888888488888888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((x div ((2 + 2) + 1)) * x),1,((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1)) div 2) - 2)
A332191: 1 919 99199 9991999 999919999 99999199999 9999991999999 999999919999999 99999999199999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) div (if x <= 0 then 1 else (((loop(\(x,i).(x * x),2,((((2 + 2) * 2) + x) + 1)) mod (((2 + 1) * 2) + 1)) + 2) * 2)))
A017838: 1 0 0 0 0 1 1 1 0 0 1 2 3 2 1 1
((((((loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * x) * (2 + 2)) * 2),x,(2 + 1))) div 2) div 2) div 2) + 1) div 2) * 2)
A132638: 4 46656 8916100448256 4611686018427387903
(loop(\(x,i).((x + 1) * x),1,((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) + 1) * 2))) div 2)
A161625: 3 6 15 28 1 6 28 45 6 45 1 28 1 6 28 6
(if x <= 0 then 0 else (if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else (((x div ((2 + 2) + 1)) + 2) * 2)))
A049702: 0 1 1 1 4 1 1 6 6 1 1 8 8 8 1 1
((((((loop(\(x,i).(x * 2),x,(if (((x div 2) + x) mod (2 + 2)) <= 0 then 1 else 2)) mod (x + 1)) div 2) + 2) * (2 + 1)) div 2) div 2)
A111944: 1 1 2 1 2 3 2 1 3 3 2 4 2 3 4 1
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2) + (((if ((x div ((2 + 2) + 1)) - 2) <= 0 then 0 else 2) * 2) * 2))
A191378: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 67
(((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * 2) * 2) * 2)
A332180: 0 808 88088 8880888 888808888 88888088888 8888880888888 888888808888888 88888888088888888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((((loop(\(x,i).(((x + 2) * x) - 2),1,loop(\(x,i).((i mod 2) + (x * 2)),x,0)) div 2) div 2) div 2) + 1) div 2) * 2) * 2)
A241893: 0 0 0 8 28 120 460 1848 7308 29240 116620 466488 1864588 7458360 29827980 119311928
((loop(\(x,i).(((x * x) * x) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2)
A138434: 6 54 750 4116 39930 92274 353736 617310 1606044 5121690 7149840 17323326 28946820 36732234 57310296 104511654
(((if x <= 0 then 1 else ((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 2)) + 2)
A062558: 2 2 3 3 3 4 3 4 4 4 3 6 3 4 5 5
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) + (2 + 2))
A001043: 5 8 12 18 24 30 36 42 52 60 68 78 84 90 100 112
((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) - (x div (((2 + 2) * (2 + 1)) - 1))),x) + 2) * 2)
A275671: 4 6 8 12 14 18 20 24 28 30 32 36 38 40 42 44
((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((((2 + 1) * 2) + 1) * x) + 1))),x) + 2) * 2)
A089079: 4 6 10 12 16 18 22 28 36 40 42 48 58 60 66 70
((((if x <= 0 then 1 else ((((((loop(\(x,i).((i * i) * (x + 1)),(x - 1),1) + x) div 2) + 1) div 2) + 1) * 2)) + x) + 2) + 2)
A117771: 5 9 10 17 70
(loop(\(x,i).(x * 2),x,((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) * (((x + 2) * 2) + x)) div 2)) div 2)
A275827: 1 7 50 364 2688 20064 151008 1144000 8712704 66646528 511673344 3940579328 30429184000 235521884160 1826663915520 14192851599360
((loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),((x * 2) + 1),0) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) div 2)
A332156: 6 565 55655 5556555 555565555 55555655555 5555556555555 555555565555555 55555555655555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),((x * 2) + 1),0) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) div 2)
A332154: 4 545 55455 5554555 555545555 55555455555 5555554555555 555555545555555 55555555455555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x * 2) + 1) * ((2 + 2) + 1)),((x * 2) + 1),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) div 2)
A332178: 8 787 77877 7778777 777787777 77777877777 7777778777777 777777787777777 77777777877777777 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) + 1),(x * 2),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) + 2)
A332135: 5 353 33533 3335333 333353333 33333533333 3333335333333 333333353333333 33333333533333333 3333333335333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) div 2) + 2)
A024675: 4 6 9 12 15 18 21 26 30 34 39 42 45 50 56 60
(loop(\(x,i).((((x * x) * x) * (x * x)) * (x - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138460: 16 243 6250 50421 805255 2227758 11358856 22284891 70799773 287156086 429437265 1248191226 2317124020 3087177303 5274935161 10873082818
(loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138453: 24 324 7500 57624 878460 2399124 12027024 23457780 73878024 297058020 443290080 1281926124 2373639240 3158972124 5387167824 11078235324
(loop(\(x,i).(((((x * x) * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138440: 31 363 7810 58821 885775 2413398 12068776 23522931 74017933 297411646 443751825 1282863186 2375052100 3160681503 5389607641 11082180538
(loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138441: 30 360 7800 58800 885720 2413320 12068640 23522760 74017680 297411240 443751360 1282862520 2375051280 3160680600 5389606560 11082179160
(loop(\(x,i).(((((x * x) * x) - 1) * x) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)
A138452: 28 351 7750 58653 885115 2412306 12066328 23519511 74011861 297399466 443736945 1282837878 2375017660 3160641771 5389555753 11082106126
(((loop(\(x,i).(((x * 2) div (i + 1)) + ((x * 2) * 2)),x,(2 + 1)) - loop(\(x,i).((x * 2) * 2),x,2)) * (x + 2)) * 2)
A118447: 4 42 304 1870 10488 55412 280768 1379286 6616360 31144300 144367584 660746892 2991902704 13424189160 59758420736 264191654758
(if x <= 0 then 1 else ((((((((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1)) * 2) + x) + 1) div (2 + 1)) + ((x * 2) * 2)))
A312938: 1 4 9 13 18 23 26 32 37 39 45 50 52 59 64 65
(if x <= 0 then 1 else ((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) div (2 + 1)) * 2) + x) + 1) div (2 + 1)) + ((x * 2) * 2)))
A313046: 1 4 9 14 18 23 27 32 37 41 46 50 55 60 64 68
(loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((x div (((2 + 2) * (2 + 1)) + 1)) + x)) + 2)
A146968: 4 5 7
A139690: 4 5 7 9 13 15 19 21 25 31 33 39 43 49 55 61
(((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).(x * x),1,((x + 2) * 2)) - 1)) div 2) div (2 + 1)) + (((2 + 1) * x) + 2))
A193390: 42 215 680 1661 3446 6387 10900 17465 26626 38991 55232 76085 102350 134891 174636 222577
((((((((loop(\(x,i).(((loop(\(x,i).((x * x) * x),2,x) + x) + x) * x),x,1) + 1) * x) div 2) + 1) div 2) div 2) + x) + 2)
A197635: 2 3 14771
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2))
A006094: 6 15 35 77 143 221 323 437 667 899 1147 1517 1763 2021 2491 3127
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2))
A090076: 10 21 55 91 187 247 391 551 713 1073 1271 1591 1927 2279 2773 3233
loop(\(x,i).(x mod (((x - 1) mod (((2 + 2) * 2) + 1)) + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A179656: 0 0 0 0 1 1 1 0 3 1 3 0 1 1 1 5
loop(\(x,i).((((((x * x) + 1) * x) * x) + 1) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A131993: 63 364 3906 19608 177156 402234 1508598 2613660 6728904 21243690 29583456 71270178 118752606 150508644 234330768 426237714
(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A246714: 1 2 0 0 9 2 4 5 9 5 10 35 21 12 14 45
(((((x + 2) * x) + 1) * (x + 1)) mod loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)))
A167623: 1 8 2 15 4 47 54 151 200 159 370 359 516 895 1166 1287
((x - (((if (x - 2) <= 0 then 1 else ((2 + 2) * 2)) + x) + 2)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A338530: 1 0 2 4 1 3 7 9 13 19 21 27 31 33 37 43
((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A261468: 1 1 1 6 6 6 6 10 8 8 10 6 6 10 12 8
(x - (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)))
A147965: 1 1 2 1 4 3 6 5 4 9 6 9 12 11 10 11
(((((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,(x - 1)) div 2) div 2) div 2) + 1) div loop(\(x,i).(x * 2),x,2))
A001949: 0 0 0 0 0 1 2 4 8 16 32 63 124 244 480 944
((loop(\(x,i).(x - 1),(1 - (((loop(\(x,i).((x * x) div (2 + 1)),2,x) * x) div (2 + 1)) mod (2 + 1))),1) + x) + (x + 2))
A051244: 2 4 6 8 11 13 14 16 19 20 23 25 26 29 30 32
((if x <= 0 then 1 else (((loop(\(x,i).(x - (x div ((2 + 2) * 2))),2,(x - 1)) + x) + ((x + 1) div (2 + 1))) + x)) + (x * 2))
A310462: 1 4 10 15 20 26 31 36 42 46 50 56 61 66 72 77
compr(\x.loop(\(x,i).(x * x),1,(((loop(\(x,i).((x * x) * x),2,x) * (x * x)) mod ((((2 + 2) * 2) * (2 + 1)) - 1)) - 1)),x)
A095037: 1 2 3 4 6 8 9 12 13 16 18
A278580: 1 2 3 4 6 8 9 12 13 16 18 24 25 26 27 29
(((x div ((if x <= 0 then 1 else x) div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1))) + 1) + x)
A132009: 1 3 4 7 6 8 8 15 13 12 12 17 14 16 18 31
(((if ((x div ((2 + 2) + 1)) * 2) <= 0 then (x * 2) else (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)) + 1) - x)
A331418: 1 2 3 4 5 7 8 11 12 15 20 21 26 29 30 33
compr(\x.(((loop(\(x,i).(x * 2),x,1) - loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x div 2),1)) mod (x + 1)) - 1),x)
A010378: 0 1 4 6 9 10
A171401: 0 1 4 6 9 10 12 16 18 21 22 25 28 30 33 36
(((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) div 2) - x)
A024678: 2 3 5 7 9 11 13 17 20 23 27 29 31 35 40 43
(((if x <= 0 then 1 else (((((((loop(\(x,i).(x * 2),(x - 2),x) div 2) * (x - 1)) * (2 + 1)) div 2) div 2) + x) * 2)) + x) * x)
A265083: 0 3 12 51 192 675
compr(\x.(1 - loop(\(x,i).(loop(\(x,i).(((x * x) * x) mod ((((2 + 2) * (2 + 1)) * (2 + 1)) + 1)),2,x) - 1),1,(x * x))),x)
A028787-A028750: 2 5 6 8 13 14 15 17 18 19 20 22 23 24 29 31
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) else 0)
A144217: 0 1 1 2 0 2 3 0 0 3 4 0 0 0 4 5
((x div ((x mod ((x div (((((x * 2) mod ((x mod (2 + 2)) + 1)) div 2) + (x mod 2)) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1))
A329313: 0 1 1 2 1 2 1 3 1 2 2 3 1 2 1 4
((((x div ((x div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 2)) + 1) div 2) + (if x <= 0 then 0 else 1))
A059829: 0 1 1 2 1 2 1 3 2 2 1 2 1 2 1 4
((x div ((x mod ((x div ((loop(\(x,i).(x * 2),(x - 1),(((0 - x) mod (2 + 2)) + 1)) mod (x + 1)) + 2)) + 1)) + 1)) + 1)
A208644: 1 2 3 2 5 6 7 2 3 5 11 6 13 7 15 2
((2 + 1) mod ((if ((((x - ((x div 2) mod (2 + 1))) mod ((2 + 2) + 1)) + 1) mod (2 + 1)) <= 0 then (x div (2 + 1)) else 1) + 1))
A298667: 1 1 1 1 1 1 1 0 0 1 1 1 3 1 1 1
((x mod ((((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) - 1) mod ((x * 2) + 1)) + 1)) + 1)
A304339-A304328-A160400-A055231: 1 2 3 1 5 6 7 1 1 10 11 3 13 14 15 1
((x div (((((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) - 1) - 1) mod (x + 1)) + 1)) + 1)
A014673: 1 1 1 2 1 3 1 2 3 5 1 2 1 7 5 2
((if x <= 0 then 0 else (((x - (1 - ((1 - x) div (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1)))) div 2) + 1)) + 1)
A327162: 1 2 2 2 2 3 2 2 2 4 2 4 2 5 6 2
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (if (x mod (2 + 1)) <= 0 then 2 else 1)) + 1)
A099597: 1 1 1 1 2 1 1 3 3 1 1 4 9 4 1 1
((if x <= 0 then 0 else ((x div ((((1 - ((x mod ((2 + 1) * 2)) * (((2 + 2) * 2) + 1))) mod (x + 1)) + 2) + 2)) + 1)) + 1)
A079085: 1 2 2 2 3 2 3 3 3 3 2 3 4 3 2 3
(((x * x) div (((x - ((1 - ((((loop(\(x,i).(x * 2),(x - 1),1) + 2) div (x + 1)) + x) div 2)) div 2)) * 2) - 1)) + 1)
A343437: 1 2 2 2 2 2 3 3 3 3 3 2 2 1 1 1
((x * 2) - ((loop(\(x,i).(x * 2),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * (((x mod 2) * 2) + 1)) - 1))
A071043: 0 0 3 1 7 5 9 3 15 13 17 11 21 15 21 7
(if (x - 1) <= 0 then 1 else ((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (2 + 1)) - 1))
A141591: 1 1 ~1 ~1 2 ~1 ~1 2 2 ~1 ~1 2 8 2 ~1 ~1
(((loop(\(x,i).(((((x + 2) + 2) + 1) * x) div 2),2,((((2 + 2) + 1) * x) + 1)) div ((2 + 2) + 1)) div (2 + 1)) + 1)
A234043: 1 42 273 969 2530 5481 10472 18278 29799 46060 68211 97527 135408 183379 243090 316316
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176627: 1 1 1 1 12 1 1 144 144 1 1 1728 20736 1728 1 1
loop(\(x,i).(((x * 2) - (x mod 2)) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A196641-A196636: 1 1 1 1 2 1 1 5 5 1 1 10 21 10 1 1
(loop(\(x,i).(((x + 2) + 2) * x),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) + 1)
A082105: 1 1 1 1 6 1 1 13 13 1 1 22 33 22 1 1
loop(\(x,i).((((x div 2) + 1) * i) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A197090: 1 1 1 1 2 1 1 5 5 1 1 10 25 10 1 1
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A158117: 1 1 1 1 10 1 1 100 100 1 1 1000 10000 1000 1 1
loop(\(x,i).((x div (2 + 1)) + x),2,((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A147649: 1 1 1 1 2 1 1 5 5 1 1 6 8 6 1 1
loop(\(x,i).((x mod ((2 + 2) + 1)) + x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A137854: 1 1 1 1 2 1 1 4 4 1 1 8 11 8 1 1
(((loop(\(x,i).(x * x),1,((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)) * 2) div (2 + 1)) + 1)
A055210: 1 1 1 3 1 1 1 3 7 1 1 3 1 1 1 11
(((((loop(\(x,i).i,((x div 2) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)),1) * 2) + 1) * 2) div (2 + 1)) - 1)
A065371: 1 1 1 1 2 1 3 1 1 2 6 1 7 3 2 1
(((((((((loop(\(x,i).(x * 2),x,(2 - ((x div 2) mod 2))) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A039636: 1 1 1 2 1 2 1 3 3 2 1 3 1 2 2 4
(if x <= 0 then 0 else (((((((x + 1) div (2 - ((((2 + 2) * 2) * 2) mod ((0 - x) - 1)))) div 2) + 1) * 2) div (2 + 1)) + 1))
A327503-A158378-A071178-A052409-A051904: 0 1 1 2 1 1 1 3 2 1 1 1 1 1 1 4
((((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod (((2 + 2) * 2) + 1)) - 1) * (x + 1)) div 2) mod (2 + 1)) + 1)
A272084: 1 1 1 1 2 1 1 1 2 3 3 1 2 1 2 1
((1 - x) mod (((((if x <= 0 then 0 else (2 - ((x + 1) mod ((x div (((x mod 2) + 2) + 2)) + 2)))) + 2) * 2) mod (2 + 1)) + 1))
A133827: 1 0 0 1 1 2 0 0 0 0 0 2 1 0 2 0
((((((if x <= 0 then 1 else (((x * 2) * (2 + 1)) - (((x - 1) mod ((x div 2) + 2)) div 2))) + x) + 2) * 2) div (2 + 1)) - 1)
A314725: 1 5 9 13 18 23 28 33 37 41 46 51 55 59 64 69
(loop(\(x,i).((2 + 1) * x),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((((x mod 2) * 2) * (2 + 1)) + 1))
A160797: 1 7 3 21 3 21 9 63 3 21 9 63 9 63 27 189
(if x <= 0 then 0 else ((x div ((((2 - (((x - 1) mod ((((x div 2) div (2 + 1)) + 2) + 2)) div 2)) + 2) + (x mod 2)) + 1)) + 1))
A172245: 0 1 1 1 2 1 2 2 3 2 4 2 5 3 3 4
(compr(\x.((x mod ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) * 2) * (2 + 1)) - 1)) - 1),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A327783-A319333: 2 3 5 7 11 13 17 19 23 29 30 31 37 41 43 47
((loop(\(x,i).(i * 2),(x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)),1) mod (x + 1)) + 1)
A105560: 1 2 2 3 2 3 2 5 3 3 2 5 2 3 3 7
(compr(\x.((x + 1) mod ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * 2) + 1)),(x + 1)) + 1)
A106843: 2 3 5 6 7 9 11 13 15 17 18 19 21 23 27 29
((((x mod ((x div (((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 1 else 2) + (x mod 2)) + 1)) + 1)) + 1) div 2) + 1)
A243866: 1 1 1 2 1 2 2 2 2 2 3 2 4 2 3 3
((loop(\(x,i).(x * x),1,(((((((2 + 2) * (x + 1)) - 1) * 2) * ((2 + 2) + 1)) * ((2 + 2) + 1)) + 1)) * 2) - 1)
A157653: 45601 246401 607201 1128001 1808801 2649601 3650401 4811201 6132001 7612801 9253601 11054401 13015201 15136001 17416801 19857601
((((((x mod ((loop(\(x,i).((x * 2) + 1),x,(((x mod 2) * 2) * 2)) mod (x + 1)) + 2)) + 1) div (2 + 1)) + 1) div 2) + 1)
A198339: 1 1 1 2 1 1 1 2 2 3 1 1 1 2 2 4
((((((((loop(\(x,i).(((x div ((2 + 2) * 2)) + x) + 2),x,1) * (x + 1)) div 2) div 2) + 1) div (2 + 1)) + 1) div 2) + 1)
A241772: 1 1 2 2 3 4 6 7 9 12 15 19 24 30 37 45
((x + 1) - ((((if x <= 0 then 0 else ((x + 1) mod ((((x - 2) mod ((x div ((2 + 2) + 1)) + 1)) + 1) * 2))) + 1) * 2) - 1))
A105033: 0 1 0 3 2 1 4 7 6 5 0 11 10 9 12 15
((x + 1) div ((((((((((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) * 2) - 1))
A107454: 1 0 1 0 1 2 1 1 1 1 3 1 1 1 1 3
((((((((loop(\(x,i).(x * x),1,(((x div 2) * (2 + 1)) + (x div (2 + 1)))) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1)
A126793: 1 1 2 2 3 3 5 5 7 8 11 11 16 16 21 22
(((((loop(\(x,i).(x * 2),x,(((x mod (((x div 2) div ((x mod 2) + 1)) + 2)) div 2) + 1)) mod (x + 1)) div 2) + 1) div 2) + 1)
A184241: 1 1 2 1 1 2 1 1 3 2 2 2 2 2 4 1
((((((if x <= 0 then 1 else ((((((((x mod (2 + 1)) + 1) * x) div 2) + 1) div 2) + 1) * 2)) mod (x + 1)) div 2) + 1) div 2) + 1)
A054988: 1 1 1 1 1 2 3 2 2 3 1 3 3 2 3 4
loop(\(x,i).((x * 2) + 1),(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2),1)
A059328: 1 1 1 1 3 1 1 7 7 1 1 15 63 15 1 1
(((((((1 - (((x div 2) - (if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 0 else 1)) mod 2)) * (x + 1)) div 2) div 2) + 1) div 2) + 1)
A034003: 1 1 1 2 1 1 2 1 1 1 2 3 1 1 3 1
((((((((1 - (((if (x mod (2 + 1)) <= 0 then 1 else x) mod ((2 + 2) + 1)) * 2)) mod (x + 1)) + 2) div 2) div 2) + 1) div 2) + 1)
A275992: 1 1 1 2 2 1 2 2 2 2 1 3 3 2 2 3
(((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2) + 1)
A119647-A092782: 1 2 1 3 1 2 1 1 2 1 3 1 2 1 2 1
((((((if (x mod 2) <= 0 then x else 0) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (2 + 1)) div 2) + 1)
A202735: 1 1 1 1 1 1 1 2 2 1 1 4 2 4 1 1
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + (x mod (2 + 2))),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)
A151782: 1 8 8 56 8 56 56 392 8 56 56 392 56 392 392 2744
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)),1)
A151785: 1 1 7 1 7 7 49 1 7 7 49 7 49 49 343 1
((((((((((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 0) + (x mod 2)) + 2) + x) + 2) * x) div 2) + 1) div 2) + 1)
A341578: 1 3 4 8 9 14 16 24 25 33 36 45 49 60 64 80
(((((((x div ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 1)) + 1) * 2) - 2) mod (x + 1)) div 2) + 1)
A309786: 1 1 1 1 2 1 3 1 3 2 5 1 6 3 4 1
((((x + 1) div (if x <= 0 then 1 else ((((((((((2 + 2) + 1) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) + 1) * 2))) div 2) + 1)
A329462: 1 1 1 2 2 1 1 2 2 3 1 2 2 2 2 3
((compr(\x.((loop(\(x,i).(((x * x) * x) - 1),2,(2 + 2)) + 1) mod (x + 1)),x) + 1) * (((((2 + 2) + 1) * 2) * 2) + 1))
A033850: 21 63 147 189 441 567 1029 1323 1701 3087 3969 5103 7203 9261 11907 15309
loop(\(x,i).i,(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2)),1)
A194672: 1 1 1 1 2 1 1 3 3 1 1 5 10 4 1 1
(x - (((((((x + 1) div (((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1)) + 1) * (2 + 1)) div 2) div 2) - 1))
A117386: 1 2 3 4 1 5 6 7 8 2 9 10 11 12 3 13
(((((((x + 1) div ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 2)) + 1) * (2 + 1)) div 2) div 2) + 1)
A335286-A064839: 1 1 2 1 3 1 4 1 2 2 5 1 6 3 4 1
((compr(\x.(loop(\(x,i).((x * x) * x),2,((((2 + 2) * 2) * 2) - 1)) mod (x + 1)),x) + 1) * ((((2 + 2) * 2) * 2) - 1))
A033849: 15 45 75 135 225 375 405 675 1125 1215 1875 2025 3375 3645 5625 6075
((((((((if x <= 0 then 1 else (((((x div (2 + 1)) + x) div (2 + 1)) + x) + 2)) + 2) + 2) * (x + 2)) div 2) div 2) div 2) - 1)
A029899: 0 1 3 5 7 10 13 17 20 25 29 33 39 44 51 56
(loop(\(x,i).((x * 2) * 2),((x div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * (((((x mod 2) * 2) * 2) * 2) + 1))
A164032: 1 9 4 36 4 36 16 144 4 36 16 144 16 144 64 576
(((((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2) * (x + 1)) - 1) * 2) - 1) * 2) - 1) div (((2 + 2) * 2) + 1))
A039065: 0 1 3 4 5 7 8 9 11 12 13 15 22 24 25 27
loop(\(x,i).i,((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)))
A159335-A109004: 0 1 1 2 1 2 3 1 1 3 4 1 2 1 4 5
(((((loop(\(x,i).(x * x),2,((((((2 + 2) + 1) * x) + 1) * 2) + 1)) div 2) div 2) div (2 + 1)) div 2) * ((2 + 2) + 1))
A251820: 15 5950
((((((x div (((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) + 2) * 2) div (2 + 1)) - 1) mod (2 + 1))
A338757: 0 1 1 1 1 0 1 2 1 0 1 0 1 0 0 2
((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) - ((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)))) * 2) + 1) div (2 + 1))
A137002: 1 5 11 15
A314039: 1 5 11 15 21 25 31 35 41 46 51 57 61 67 71 77
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1))) * 2)) * 2) + 1) div (2 + 1))
A137002: 1 5 11 15
A314021: 1 5 11 15 20 24 29 33 39 44 49 55 59 64 68 73
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x - ((x div (2 + 2)) mod 2)) div 2) + 1) div 2)) * 2)) * 2) + 1) div (2 + 1))
A315061: 1 5 9 15 20 25 31 35 40 45 49 55 60 65 71 75
((((if x <= 0 then 1 else ((((x * 2) * 2) - (x div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2))) * 2)) * 2) + 1) div (2 + 1))
A314095: 1 5 11 16 20 25 31 36 40 45 51 56 61 67 72 76
((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2))) * 2)) * 2) + 1) div (2 + 1))
A314090: 1 5 11 16 20 24 29 35 40 45 51 56 60 64 69 75
((((if x <= 0 then 1 else ((((((x - ((x div 2) div (2 + 1))) * 2) div (2 + 1)) + x) + (x * 2)) * 2)) * 2) + 1) div (2 + 1))
A313212: 1 4 9 15 19 24 28 33 37 43 48 52 56 61 67 71
((((if x <= 0 then 1 else (((((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)) + x) + (x * 2)) * 2)) * 2) + 1) div (2 + 1))
A058759: 1 4 8 13
A311993: 1 4 8 13 17 23 27 32 36 40 44 48 53 57 63 67
((((if x <= 0 then 1 else (((((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2) + x) + (x * 2)) * 2)) * 2) + 1) div (2 + 1))
A312897: 1 4 9 13 17 21 27 31 35 39 44 48 52 57 61 65
((((compr(\x.(1 - (x mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 0) + 1))),x) * 2) * (2 + 1)) * ((2 + 2) + 1)) + (2 + 1))
A096023: 63 123 183 243 303 363 483 543 603 663 723 783 903 963 1023 1083
(1 - ((((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) * ((x div ((2 + 2) + 1)) + 1)) + 1) div (2 + 1)) mod (2 + 1)))
A010890: 1 ~1 0 1 ~1 1 0 ~1 1
A015254-A015194-A015104-A015074-A015014-A014924-A014894-A014804-A014714-A014654-A014624-A014564-A014474-A014444-A014354-A014294-A014264: 1 ~1 0 1 ~1 1 0 ~1 1 0 0 0 0 0 0 0
((1 - (((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod (((2 + 2) * (2 + 1)) - 1)) + 1) div (2 + 1))) mod (2 + 1))
A035226: 1 1 0 1 2 0 2 1 1 2 1 0 0 2 0 1
(if x <= 0 then 1 else ((x div ((((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) mod 2) + (x mod 2)) + 1)) mod (2 + 1)))
A039980: 1 0 2 1 1 2 0 2 1 1 1 0 0 1 2 2
(((((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) * ((x + 2) + 1)) div (2 + 1)) * 2) * (x + 1)) div (2 + 1))
A027790: 10 80 350 1120 2940 6720 13860 26400 47190 80080 130130 203840 309400 456960 658920 930240
((((x * 2) * 2) - ((((((x div 2) div (2 + 1)) mod 2) - (if x <= 0 then 1 else x)) * 2) div (2 + 1))) + ((x + 1) div (2 + 1)))
A137002: 1 5 11 15
A314031: 1 5 11 15 20 26 30 34 40 45 49 55 60 65 71 75
((((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1)) + (if x <= 0 then 1 else ((x * 2) * (2 + 1)))) - ((x + 1) div (2 + 1)))
A313909: 1 5 10 16 22 26 32 38 43 48 53 58 64 70 74 80
(((if x <= 0 then 1 else ((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1))) + ((x * 2) * 2)) + ((x + 1) div (2 + 1)))
A310444: 1 4 10 15 19 25 30 35 41 45 50 56 60 64 70 75
(((((((x div (2 + 2)) mod (2 + 1)) + x) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2))) - ((x + 1) div (2 + 1)))
A315058: 1 5 9 15 20 25 30 35 40 45 51 55 60 65 69 75
(((((((loop(\(x,i).((x * x) * 2),(2 + 1),((2 + 1) * 2)) mod (x + 1)) + 2) * 2) div (2 + 1)) + 1) * 2) mod (2 + 1))
A035154: 1 1 1 1 2 1 0 1 1 2 0 1 2 0 2 1
((((((x div ((loop(\(x,i).((x * 2) + 1),((x * 2) div (2 + 1)),1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A318451: 0 0 1 0 1 1 1 0 3 1 1 1 1 1 2 0
(((((loop(\(x,i).((((2 + 2) * (2 + 1)) + x) * 2),x,((((2 + 2) * 2) * 2) + 1)) - 1) * 2) - 1) * 2) + (2 + 1))
A305157: 65 229 557 1213 2525 5149 10397 20893 41885 83869 167837 335773 671645 1343389 2686877 5373853
((((loop(\(x,i).(((((x + 2) * 2) + x) * (x + 1)) div 2),1,(((x + 2) * x) + 1)) - 1) * (x + 1)) div 2) div (2 + 1))
A072474: 1 13 77 294 855 2071 4403 8492 15189 25585 41041 63218 94107 136059 191815 264536
(((if x <= 0 then 1 else (((x mod ((x div (((x div 2) mod ((x mod (2 + 2)) + 1)) + 1)) + 2)) + 1) mod (x + 1))) + 2) div (2 + 1))
A170978: 1 0 0 1 0 0 0 1 0 0 1 2 0 0 2 1
(((((loop(\(x,i).(((((x div 2) + x) + (x * 2)) * 2) * (2 + 1)),(x + 1),1) * (2 + 1)) * 2) * 2) * 2) * (2 + 1))
A203820: 1296 27216 571536 12002256 252047376 5292994896 111152892816 2334210749136 49018425731856 1029386940368976 21617125747748496 453959640702718416 4611686018427387903 4611686018427387903
((((((loop(\(x,i).((((((2 + 1) * 2) - (x div (2 + 1))) * 2) + x) + 1),2,x) div 2) + x) + 2) + 2) + 2) + (2 + 1))
A270044: 18 19 20 21 22 23 24 25 27 27 29 29 31 31 33 33
(x - (1 - (((((if x <= 0 then 1 else ((((x - 1) mod ((x div 2) + 2)) div 2) + ((x * 2) * 2))) + x) + 2) * 2) div (2 + 1))))
A313025: 1 4 9 14 18 22 26 30 35 40 44 48 53 58 62 66
(if x <= 0 then 1 else ((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * (2 + 1)))
A134059: 1 3 3 3 6 3 3 9 9 3 3 12 18 12 3 3
(compr(\x.((((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) mod (x + 1)) - 1),(x + 2)) + 1)
A050150: 3 5 7 9 11 13 17 19 23 25 29 31 37 41 43 47
(loop(\(x,i).(x * x),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) mod ((x + 2) + 1))
A165727: 0 0 0 0 1 0 0 4 4 0 0 9 1 9 0 0
(x mod (((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (x div 2)) + 1))
A003165: 0 0 0 0 1 0 2 1 2 2 4 1 5 4 4 4
(2 div ((((x mod ((x mod ((x mod ((loop(\(x,i).((x * 2) * 2),x,2) mod (x + 2)) + 1)) + 1)) + 1)) + 1) - (x mod 2)) + 1))
A077618: 1 1 1 0 1 2 1 0 0 2 1 0 1 1 1 0
(((if x <= 0 then 1 else ((((((1 - (((2 + 2) * 2) - (x div 2))) mod ((x div 2) + 1)) + 1) div 2) + 1) * 2)) - (x mod 2)) - 1)
A319666: 0 0 1 0 3 2 1 0 3 2 5 4 7 6 1 0
(((((x div ((x mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1)) + 1) mod (x + 1)) + 1) div ((x mod 2) + 1))
A319567: 1 1 1 1 1 2 1 1 1 3 1 2 1 4 6 1
(compr(\x.(1 - (x mod ((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),x,1) mod (((2 + 2) * 2) + 1)) + 1))),x) + 1)
A121603: 2 3 4 5 6 7 8 9 11
A257671: 2 3 4 5 6 7 8 9 11 12 13 17 18 19 20 22
(((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) + 1) * x) + 1)
A345741: 1 4 7 13 13 26 19 36 33 46 31 78 37 66 71 91
(compr(\x.(x mod ((((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) mod (x + 1)) + 1)),x) + 1)
A084400-A079852-A026477: 1 2 3 4 5 7 9 11 13 16 17 19 23 25 29 31
(compr(\x.((((((((loop(\(x,i).((x div (2 + 1)) + x),2,(x - 1)) + x) div 2) + 1) + x) div 2) + 1) + x) mod (2 + 1)),x) + 1)
A190686: 1 2 5 9 13 16 17 20 24 28 31 32 35 39 42 43
(compr(\x.(((loop(\(x,i).((((((x + 2) * 2) * 2) * (((x + 1) * 2) + 1)) - 1) * 2),2,x) * x) + 1) mod (x + 1)),x) + 1)
A018743: 1 3 11 29 33 87 319 957
(compr(\x.(loop(\(x,i).((((((((x * x) * 2) * ((2 + 2) + 1)) + x) * 2) + 1) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018734: 1 2 3 6 157 314 471 942
((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * (2 + 1)) - 2) div (((2 + 2) * 2) + x)) + 1)
A246778: 2 2 3 4 6 6 8 8 9 11 11 12 13 13 13 14
loop(\(x,i).((((((((((((x * x) * x) div ((2 + 2) * 2)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + x) * 2),x,1)
A064773: 1 2 4 14 672
(loop(\(x,i).(x * x),1,((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 1)) - (x + 1))
A139717: 0 2 6 0 20 3 42 8 0 15 110 4 156 35 10 0
(((x mod ((x mod ((x div (((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 2) * 2) + 1)) + 1)) + 1)) + 1) mod (x + 1))
A229878: 0 0 1 0 1 2
A345221: 0 0 1 0 1 2 1 0 1 2 1 3 1 2 3 0
loop(\(x,i).((x div ((x div (((x div 2) mod ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)) + 1)) + 2)) + 1),1,(x + 1))
A326622: 1 1 2 1 1 1 3 2 1 1 2 1 1 2 4 1
((((((if ((x + 1) mod (((2 + 2) + 1) * 2)) <= 0 then 2 else 1) + x) - (x div 2)) mod (((2 + 2) * 2) + 1)) - 1) mod (x + 1))
A083802: 0 1 1 2 2 3 3 4 4 6 5 6 6 7 7 15
(((((1 - x) mod ((((if ((x mod ((2 + 2) + 1)) - 2) <= 0 then 1 else 2) + (x mod 2)) * 2) + 1)) div (2 + 1)) + 1) mod (x + 1))
A257696: 0 1 1 2 1 1 1 2 2 3 1 1 1 1 1 1
loop(\(x,i).(((((((x + 2) + 2) * (x + 2)) * ((x + 2) + 1)) div 2) div (2 + 1)) + ((x * 2) * (2 + 1))),1,(x + 1))
A255994: 16 32 53 80 114 156 207 268 340 424 521 632 758 900 1059 1236
(((x div (((x + 1) div (((if (((2 + 2) * 2) mod (x + 1)) <= 0 then 2 else 1) * ((2 + 2) + 1)) + 2)) + 2)) + 1) mod (x + 1))
A126302: 0 1 2 2 3 3 3 4 3 4 4 4 5 4 4 4
((((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(x + 1)) * (2 + 1)) - 1) div 2) div 2) + 1) mod ((2 + 2) * (x + 1)))
A182688: 1 7 9 8 0 0 0 0 0 0 0 0 0 0 0 0
(((loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((x * 2) + 1)) + x) div (x + 1))
A071051: 1 3 4 7 4 8 8 15 4 8 8 16 8 16 16 31
((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) * (x + 1)) div 2) div (((2 + 1) * 2) + 1)) + 1) div 2)
A322337: 0 0 0 0 0 1 0 1 1 2 0 4 0 4 3 5
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else (x - ((x div ((x mod ((2 + 2) + 1)) + 1)) + 2)))
A179743: 1 1 1 1 2 1 1 3 4 1 1 4 6 8 1 1
(((((((if x <= 0 then 0 else (((x * 2) div (((x div (2 + 2)) + 2) + 2)) + 1)) + 2) + 2) * (x + 1)) div (2 + 1)) + 1) div 2)
A257144: 1 2 3 4 5 7 8 9 11 13 15 16 17 19 23 24
(((((((if x <= 0 then 2 else (x - (((x mod ((2 + 1) * 2)) mod ((x div 2) + 1)) - 1))) div 2) + 1) * 2) * (2 + 1)) - 1) - 2)
A251559: 9 9 9 9 15 15 21 21 21 21 21 21 39 39 39 39
((((((loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x) div ((((2 + 2) * 2) * 2) - 1)) + 2) div (2 + 1)) + 1) div 2)
A053643: 0 0 0 0 0 1 1 4 10 21 42 77 132 215 334 501
(((((((loop(\(x,i).((((((2 + 2) + 1) * 2) * 2) + x) * 2),(x + 1),1) - 2) - 1) div 2) * 2) * (2 + 1)) - 1) - 2)
A304831: 111 357 849 1833 3801 7737 15609 31353 62841 125817 251769 503673 1007481 2015097 4030329 8060793
((((x - (if ((x div 2) - 2) <= 0 then ((x div ((2 + 2) + 1)) - 1) else 1)) + x) * ((((2 + 2) * 2) * (2 + 1)) + 1)) * 2)
A044382: 50 150 250 350 450 500 550 650 750 850 950 1050 1150 1250 1350 1450
(((((((if (x - 1) <= 0 then 0 else (((x mod ((((x div 2) + 1) div 2) + 1)) div 2) + 1)) + 1) * 2) + x) div (2 + 1)) + 1) * 2)
A050823: 2 4 6 6 6 8 8 8 10 10 12 12 12 12 16 14
(1 - ((if x <= 0 then 2 else (((1 - ((x + 1) mod (((x mod ((2 + 2) + 1)) + 1) * ((2 + 2) + 1)))) mod (x + 1)) + 1)) div 2))
A229656: 0 0 0 0 0 1 0 0 0 0 1 ~5 0 0 0 1
((((((x + 1) mod (((loop(\(x,i).((x * 2) + 1),x,((2 + 1) * 2)) mod ((2 + 2) + 1)) * 2) + 1)) + 1) div 2) + 1) div 2)
A321750: 1 1 1 0 1 2 1 0 0 1 1 0 1 0 0 0
((((if x <= 0 then 2 else ((((x mod ((((0 - x) mod (2 + 2)) * ((2 + 2) + 1)) - 1)) + 1) mod (x + 1)) + 1)) div 2) + 1) div 2)
A025869: 1 0 0 0 1 0 0 1 1 0 1 1 1 0 2 1
(if x <= 0 then 1 else ((((((((((x * x) * (2 + 2)) div (2 - (x mod 2))) * ((2 + 2) + 1)) div 2) div 2) + 1) div 2) + 1) * 2))
A009926: 1 8 12 48 42 128 92 248 162 408 252 608 362 848 492 1128
((((((((((loop(\(x,i).(((i + 1) div 2) * x),x,1) div (2 + 1)) + 2) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2)
A308349: 0 0 0 1 1 1 3 13 55
((loop(\(x,i).(x * 2),x,1) - (((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) * 2) + 1)) div 2)
A337698: 0 0 1 2 6 13 28 59 122 248 502 1012 2033 4078 8170 16357
(((((if x <= 0 then 1 else ((((x * x) * x) mod (((2 + 2) * (2 + 1)) + 1)) * 2)) * 2) - 1) mod (((2 + 1) * 2) + 1)) div 2)
A089643: 0 1 1 1 2 1 1 2 2 1 2 2 2 3 1 1
(if x <= 0 then 1 else ((((((x mod ((x mod (((((x div 2) + 1) div (2 + 1)) + 1) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1) * 2))
A147848: 1 2 2 4 2 4 2 6 2 4 2 8 2 4 4 6
(((x mod ((((((x - 1) mod ((x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 2)) + 1)) * 2) + 1) mod (x + 1)) + 2)) + 1) div 2)
A185279: 0 1 0 0 1 0 1 0 1 1 1 0 2 0 1 1
((((x mod (((((x mod ((loop(\(x,i).((x + 2) * x),2,2) mod (x + 1)) + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1) div 2)
A319227: 0 0 1 0 0 1 2 0 2 0 1 1 0 2 0 0
(1 - ((((((2 - (x - loop(\(x,i).((((x * x) - 2) div ((x + 2) + 2)) + 2),2,x))) * (x + 1)) div 2) div 2) + 1) div 2))
A017840: 1 0 0 0 0 1 1 1 1 1 1 2 3 4 5 5
(1 - ((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2))
A317198: 1 0 1 ~1 1 0 1 1 0 1 ~1 1 0 1 0 1
(loop(\(x,i).(i + x),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1) div 2)
A304942-A090011: 1 1 1 1 2 1 1 3 3 1 1 5 11 5 1 1
(x div (((((if (x mod (2 + 2)) <= 0 then 2 else ((1 - ((x mod 2) * 2)) * ((x div (2 + 1)) + 1))) * 2) - 1) mod (x + 1)) + 2))
A304081: 0 0 0 0 0 1 0 2 1 3 1 2 2 2 1 3
(loop(\(x,i).(compr(\x.(x mod (x - ((x mod (((2 + 2) + 1) * 2)) - 1))),x) + (x mod (((2 + 2) + 1) * 2))),1,(x + 1)) div 2)
A079827: 1 2 3 4 5 6 7 8 9 5 11 16 22 27 33 38
(((((((((loop(\(x,i).(x * 2),x,((x mod 2) + 2)) div (x + 1)) + x) + 2) + 2) mod (x + 1)) + 2) + 1) * (x + 1)) div 2)
A136136: 1 3 7 8 17 12 10
((((((if x <= 0 then 1 else (((x - ((((x mod (2 + 2)) - 1) * 2) - 1)) div 2) * (2 + 1))) + x) + x) + 2) * (x + 1)) div 2)
A145830: 1 7 9 16 47 63
((loop(\(x,i).((i * x) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div 2)
A282441-A281034: 0 0 0 0 0 0 0 2 2 0 0 12 96 12 0 0
(((((((if ((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) <= 0 then (x mod (2 + 1)) else 1) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A129706: 1 2 2 1 2 2 1 2 2 2 2 2 2 2 4 2
((if x <= 0 then 1 else (((((((((x + 2) * x) + 1) * ((2 + 2) + 1)) div (((2 + 1) * 2) + 1)) + 1) div 2) + 1) * 2)) div 2)
A117634: 0 2 4 7 10 14 19 24 30 37 44 52 61 71 81 92
((if x <= 0 then 1 else (((((((((((2 - x) * 2) mod ((x div 2) + 2)) div 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) * 2)) div 2)
A301895: 0 1 1 1 1 2 2 1 1 4 4 3 4 3 3 1
((((((((((loop(\(x,i).(x - (((1 - x) div (2 + 1)) - 1)),x,1) div 2) div 2) + 1) * x) div 2) div 2) div 2) + 1) div 2) div 2)
A024791: 0 0 0 0 0 0 1 1 2 3 5 7 11 16 23 32
((x + 1) div ((((loop(\(x,i).((x * 2) * 2),x,1) mod ((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)) div (2 + 1)) + 2) + 2))
A035636: 0 0 0 0 0 0 1 0 0 1 1 2 1 1 3 3
((((((((((loop(\(x,i).((x - i) * x),2,(x - 1)) * (x - 1)) div 2) div (2 + 1)) + x) + 1) * x) div 2) + 1) div 2) + 2)
A261639: 2 3 4 5 19 110
((((loop(\(x,i).((((x + 2) * x) - 1) * x),1,((((2 + 1) * 2) * ((2 + 2) + 1)) - 1)) - 1) mod (x + 1)) + 2) div 2)
A003636: 1 1 1 1 1 1 1 1 3 1 3 1 2 1 1 5
(((((((x mod (((loop(\(x,i).i,(x - ((2 + 2) * 2)),1) * 2) * 2) + 1)) mod (2 + 1)) * 2) + 1) mod (x + 1)) + 2) div 2)
A248141: 1 1 2 1 2 1 2 3 1 2 2 3 1 2 3 1
((((1 - (x mod (1 - (((x + 1) mod (((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1)) * 2)))) mod (x + 1)) + 2) div 2)
A131107: 1 1 1 1 1 1 1 3 4 1 1 2 3 2 1 1
(((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * 2) * 2) * 2) - 1) * 2) * 2) * 2) * 2)
A098823: 368 496 752 1008 1520 1776 2288 2544 3056 3824 4080 4848 5360 5616 6128 6896
(((loop(\(x,i).(x * 2),x,(((((((((x - 2) * x) * (x - 1)) div 2) div (2 + 1)) + 2) + 2) + 2) + 2)) div 2) div 2) div 2)
A081913: 1 2 4 9 24 72 224 688 2048 5888 16384 44288 116736 301056 761856 1896448
(if x <= 0 then 1 else (((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * 2) * 2))
A132200: 1 4 4 4 8 4 4 12 12 4 4 16 24 16 4 4
(x - ((2 - (((loop(\(x,i).(((x + 2) * (x + 1)) div 2),2,(((2 + 2) * 2) + 1)) - 1) + x) div 2)) div ((2 + 2) * 2)))
A301516-A204581-A134999: 100 101 102 103 104 105 106 107 108 109 110 112 113 114 115 116
(((((((x * x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * (2 + 1)) + 1) div (x + 2)) + 2) div 2)
A229945: 1 1 2 1 2 3 1 2 3 4 1 2 3 5 1 2
loop(\(x,i).((x * x) * x),1,(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)))
A181543: 1 1 1 1 8 1 1 27 27 1 1 64 216 64 1 1
((((((((if (x - 1) <= 0 then 1 else (x - ((x + 1) mod (((2 + 2) * (2 + 1)) + 1)))) + x) div 2) + x) + 2) + x) div 2) + 2)
A288228: 3 4 5 6 7 9 10 11 12 14 15 16 21 22 23 24
(if x <= 0 then 1 else ((((((((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2)) + x) * 2) + 1) div (2 + 1)) + ((x * 2) * 2)))
A315026: 1 5 9 15 19 24 29 34 39 43 49 53 58 63 67 73
(((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1)) + ((x * 2) * 2))
A315691: 1 6 12 17 22 28 34 39 44 50 56 62 68 73 78 84
((((((loop(\(x,i).((x + 1) * x),1,(((((x - 1) * x) div 2) + 1) div 2)) div 2) div (2 + 1)) + 1) div (2 + 1)) + x) div 2)
A321728: 0 0 1 1 2 3 5 7 10 14 20 28 37 50
(if x <= 0 then 1 else ((((((((x - ((((x mod 2) + x) + 1) div ((2 + 2) + 1))) + x) * 2) + x) + 1) div (2 + 1)) + x) * 2))
A315212: 1 6 10 14 20 26 30 36 42 46 50 56 62 66 70 76
((x + 1) div ((if (((x + 1) div 2) mod (2 + 2)) <= 0 then ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) else x) + 2))
A078771: 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 8
((((((((((loop(\(x,i).(((2 + 2) * (x + 1)) + x),x,0) mod (x + 1)) + 2) + x) div 2) + 2) - x) + 2) div 2) + x) div 2)
A166079: 1 1 2 2 3 3 3 4 5 5 5 5 5 6 7 8
(((((((((compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 2) * (x + 1)) div 2) div 2) div 2) + x) div 2) + x) + 2)
A278299: 2 4 6 9 12 15 19 24 30 34
(loop(\(x,i).(i * x),((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)),1) mod (x + 2))
A299581: 1 1 1 1 1 1 1 1 1 1 1 2 10 2 1 1
((((((loop(\(x,i).(x * 2),x,(2 - (((x + 1) * 2) mod ((2 + 2) + 1)))) mod (x + 1)) div 2) * 2) + x) * 2) div (x + 2))
A080573: 0 0 1 1 2 1 2 1 2 2 1 2 1 3 2 1
((((((if x <= 0 then 1 else (((x * 2) * 2) - (((1 - x) - (x mod 2)) div (2 + 1)))) + 2) * 2) div (2 + 1)) - 1) + (x * 2))
A313704: 1 5 10 15 19 25 29 35 39 44 49 54 59 64 69 73
(((((if x <= 0 then 1 else (((x * 2) - ((((x div 2) mod (2 + 2)) - x) div (2 + 2))) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315411: 1 6 11 15 20 25 29 34 40 46 51 55 60 65 69 74
(((((if x <= 0 then 1 else ((((x - (x div ((2 + 2) * (2 + 1)))) div 2) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A137002: 1 5 11 15
A314052: 1 5 11 15 21 26 32 37 43 47 53 58 63 69 73 79
(((((if x <= 0 then 1 else ((((((x - (x div (2 + 2))) + 1) div 2) div 2) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315056: 1 5 9 15 20 25 29 34 39 45 49 54 59 63 69 74
(((((if x <= 0 then 1 else ((((x - (x div (1 - ((2 + 2) * 2)))) div 2) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315511: 1 6 11 17 21 27 32 38 44 49 55 59 65 70 76 82
(((((if x <= 0 then 1 else (((((((x div 2) div (2 + 1)) mod 2) + x) div 2) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A137002: 1 5 11 15
A314054: 1 5 11 15 21 26 32 38 43 49 53 59 64 69 75 79
((((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1)) + x) + (x * 2))
A313506: 1 5 10 14 18 23 28 32 36 41 46 51 56 60 64 69
((1 - (x - (((((((if x <= 0 then 0 else 2) * (2 + 1)) * (2 + 1)) * ((2 + 2) + 1)) + x) + x) * (2 + 1)))) - (x div 2))
A084802: 1 276 280 285 289 294 298 303 307 312 316 321 325 330 334 339
((((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x div 2),(x mod 2)) * (2 + 1)) * ((x mod 2) + 1)) + 1) - (x mod 2))
A308900: 1 6 4 66 34 666 334 6666 3334 66666 33334 666666 333334 6666666 3333334 66666666
((((((if x <= 0 then 1 else ((((((x div 2) + x) + ((x * 2) * 2)) + 1) + (x div (2 + 1))) * 2)) + 2) + 2) + x) + x) + 2)
A063235: 7 20 34 48 62 74 90 102 116 130 144 156 172 184 198 212
((((1 - ((if (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1)) <= 0 then 1 else 2) * 2)) + (x mod 2)) + 1) + ((x * x) div 2))
A192225: 0 1 2 5
A038191: 0 1 2 5 6 13 18 23 30 41 50 59 70
((((((loop(\(x,i).(x - ((((((x div (2 + 2)) mod 2) - x) div 2) - 1) div 2)),x,1) + x) + 2) * 2) div (2 + 1)) - 1) - x)
A115671-A105782: 1 1 1 2 3 4 6 8 11 15 20 26 34 44 56 72
((((((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + (x div (2 + 1))) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1) + x)
A094210: 1 2 3 4 5 7 8 9 10 12 14 15 18 19 20 23
loop(\(x,i).i,(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) mod ((2 + 2) + 1)),x)
A159623: 1 1 1 1 2 1 1 3 3 1 1 4 12 4 1 1
((((((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((1 - x) mod (2 + 1)) + x) div (2 + 2))) * 2) + 1) div (2 + 1)) + x)
A314899: 1 5 9 14 19 24 29 34 39 44 49 53 58 63 67 72
compr(\x.(((((loop(\(x,i).(2 - (x - ((((x div 2) + 2) div (2 + 1)) * (2 + 1)))),2,x) + x) div 2) + x) div (2 + 1)) mod 2),x)
A268678: 0 1 3 4 5 7 8 11 15 16 18 19 20 22 23 26
((((((loop(\(x,i).(x - ((((1 - x) * 2) div (((2 + 1) * 2) + 1)) - 1)),(x * 2),1) - 1) + x) div 2) + 2) div 2) - x)
A320921: 1 1 1 3 5 10 19 35 60
((((((((((x * x) div ((if x <= 0 then 1 else (x div (2 + 1))) + x)) + (x + 1)) mod (2 + 1)) + 1) + x) div 2) + 1) + x) + x)
A190324: 2 4 7 9 12 14 17 19 21 24 26 30 32 35 37 39
(((if x <= 0 then 1 else ((((((((((x mod 2) + x) + 1) div ((2 + 2) + 1)) * 2) + x) + 1) div (2 + 1)) + x) * 2)) + x) + x)
A310496: 1 4 10 16 20 24 30 34 38 44 50 54 58 64 70 74
((x mod ((x mod (((x + 1) div ((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1)) + 1)) + 1)) + 1)
A277708: 1 2 3 1 5 2 7 2 1 2 11 3 13 2 3 1
((x mod ((x mod ((((x - ((x mod (((2 + 2) + 1) * 2)) * (((2 + 2) * 2) + 1))) + 1) mod (x + 1)) + 1)) + 1)) + 1)
A068822: 1 2 1 2 5 2 1 2 1 10 1 4 1 2 5 4
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (((2 - ((x div 2) mod 2)) * 2) + 1)) + 1)) + 1)
A026758-A026725: 1 1 1 1 2 1 1 4 3 1 1 5 7 4 1 1
(((((2 + 1) * 2) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1)
A342767-A176653: 1 1 1 1 2 1 1 2 2 1 1 4 3 4 1 1
(((((x + 1) * x) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1)
A276162: 1 1 1 1 2 1 1 1 2 1 1 2 3 4 1 1
(((1 - ((2 + 2) * 2)) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1)
A158565: 1 1 1 1 2 1 1 3 3 1 1 2 4 2 1 1
(((x + 1) mod ((x div ((((((x div (2 + 1)) + 1) div ((x mod ((x mod 2) + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 1)
A219094: 1 1 2 1 1 1 4 3 5 1 1 1 7 1 8 1
(1 - (1 mod (1 - (x div ((x mod ((((x mod ((x mod (((x mod (2 + 2)) * 2) - 1)) + 1)) + 1) mod (x + 1)) + 1)) + 1)))))
A345990: 1 1 1 2 3 1 5 2 7 3 9 2 11 5 3 6
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (((x * 2) mod ((2 + 2) + 1)) + 2)) + 1)) + 1)
A113749-A112564-A109225: 1 1 1 1 2 1 1 3 4 1 1 4 7 6 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x + 1) div ((x mod ((2 + 2) + 1)) + 2)) + 1)) + 1)
A110470-A058717-A055080-A034371-A034367: 1 1 1 1 2 1 1 4 3 1 1 6 9 4 1 1
((((2 + 2) + 1) mod (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) + 1)) + 1)
A307239-A204087-A080396-A080381: 1 1 1 1 2 1 1 3 3 1 1 2 6 2 1 1
((((x div 2) + 1) mod ((x div ((((((((x div (2 + 1)) * 2) * 2) div (2 + 1)) + x) mod (2 + 1)) + 2) + 2)) + 1)) + 1)
A214257-A214248-A214246: 1 1 1 1 1 2 1 1 2 2 1 1 2 4 3 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1)
A204006: 1 2 2 3 4 3 4 5 5 4 5 6 7 6 5 6
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) * (2 + 1)) div ((2 + 2) + 1)) + 1)
A197957: 1 1 1 1 2 1 1 3 4 1 1 4 8 5 1 1
((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * x) + 1) div ((2 + 2) + 1)) + 1)
A318045: 1 1 1 1 2 1 1 2 2 1 1 3 8 3 1 1
(((((((x mod ((x mod ((((x div 2) div ((2 + 2) + 1)) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1) mod (2 + 1)) - 1)
A231122: 0 0 0 0 0 1 0 ~1 0 1 0 0 0 1 1 ~1
(((x - ((x div ((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) + 2) + 2)) * (2 + 1))) div (2 + 1)) + 1)
A117535: 1 1 1 2 2 1 2 2 1 3 3 2 4 4 2 3
compr(\x.((x div ((x mod 2) + 2)) mod 2),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A152236: 1 1 1 1 4 1 1 7 7 1 1 8 12 8 1 1
((((((((((((x - 1) * x) div 2) mod ((x div (2 + 2)) + 1)) * 2) + 1) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1)
A080311: 1 1 1 1 1 1 3 3 3 1 1 3 3 3 4 3
(((((x + 1) div (((x - (((((x - 1) div 2) * (x div (2 + 1))) div 2) div 2)) mod (2 + 1)) + 1)) + 2) mod (2 + 1)) + 1)
A112505: 1 1 1 1 2 2 2 2 1 1 2 1 3 1 2 2
(((((((x div ((((x mod ((((2 - x) div 2) div (2 + 1)) - 2)) mod 2) + 1) * 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A152724: 1 1 2 2 2 2 3 3 2 2 3 2 3 3 4 4
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) * 2) div (2 + 1)) + 1)
A132735: 1 1 1 1 3 1 1 4 4 1 1 5 7 5 1 1
(((((((((x - ((2 - ((((2 + 2) * 2) * 2) mod (x + 1))) div 2)) div 2) div 2) + x) * 2) + 1) * 2) div (2 + 1)) + 1)
A029675: 0 3 4 5 8 9 11 12 15 16 19 20 21 23 24 25
(((((((((x + 2) mod ((x div (((x div (2 + 2)) + 2) + 2)) + 1)) + 1) * 2) - 1) mod (x + 1)) + 2) mod (2 + 1)) - 1)
A307445: 1 ~1 ~1 ~1 ~1 1 ~1 1 ~1 1 ~1 1 ~1 1 1 0
(x div (((((x - (((x - ((x - (x div (2 + 1))) div (2 + 1))) * 2) * (2 + 1))) mod (x + 1)) + 2) div (2 + 1)) + 1))
A049819: 0 0 1 1 2 1 2 3 2 2 3 3 4 3 3 3
(((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) * 2) div (2 + 1)) + 2) * 2) div (2 + 1)) + 1)
A074589: 2 2 2 2 3 2 2 5 5 2 2 7 13 7 2 2
((((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) + (x mod 2)) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1)
A215297-A181039: 1 1 1 1 2 1 1 3 3 1 1 6 6 6 1 1
((((((((x + 1) div ((x mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2)) + 1)) + 1) div 2) div 2) + 2) mod (2 + 1)) - 1)
A054527: 1 1 ~1 1 ~1 ~1 1 ~1 ~1 0 1 ~1 ~1 0 ~1 1
(((x div (2 + 1)) + 1) div ((x div ((((x mod (((x - (x div (2 + 1))) mod (2 + 1)) + 2)) div 2) + 2) * (2 + 1))) + 1))
A214707: 1 1 1 2 2 2 1 3 1 2 2 2 1 1 2 2
(((((((x div ((((x + 1) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + (x mod 2)) * 2) mod (2 + 1)) + 1) mod (x + 1)) + 1)
A102641: 1 2 2 4 2 4 2 3 2 4 2 4 2 4 2 2
((x + 1) div (((((((((x + 1) * x) mod ((((2 + 2) * 2) * 2) + 1)) + 1) * (2 + 1)) * 2) - 1) mod (x + 1)) + 1))
A175069: 1 1 1 2 1 1 1 2 3 1 1 1 1 1 1 8
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 - ((x div 2) div (0 - 2)))) + 1)
A176282: 1 1 1 1 4 1 1 9 9 1 1 16 21 16 1 1
((((x mod ((x div (((((x div (((((x mod 2) * 2) + 1) * 2) * 2)) mod 2) + 1) + (x mod 2)) + 1)) + 1)) + 1) div 2) + 1)
A325622: 1 1 1 2 1 2 1 2 3 2 3 3 2 2 3 3
(((((x + 1) div ((((x mod ((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 1)) + 2)) + 1) * 2) + 1)) + 1) div 2) + 1)
A105068: 1 1 1 2 2 2 2 2 3 2 2 2 3 2 4 4
((x + 1) mod (((x - ((((((x - ((x * x) div (((x + 2) * 2) + x))) + 1) + x) * 2) div (2 + 1)) + 1)) * 2) + 1))
A292160: 0 ~1 0 ~2 ~1 0 ~3 ~2 ~1 0 ~4 ~3 ~2 0 0 ~5
((((((((((((2 - ((x div 2) mod 2)) * (x + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) mod (x + 1)) + 1) div 2) + 1)
A245908: 1 1 2 2 3 3 2 3 3 4 3 3 4 4 3 3
(((((x mod (((1 - (x mod (((x * x) mod ((((2 + 1) * 2) + 1) * 2)) + 1))) mod (x + 1)) + 1)) div 2) + 1) div 2) + 1)
A023586-A023584: 1 1 2 1 1 2 1 1 2 1 1 1 4 1 1 1
(((((x mod (((1 - ((((x div ((2 + 2) * 2)) + x) mod ((2 + 2) + 1)) * 2)) mod (x + 1)) + 1)) div 2) + 1) div 2) + 1)
A309914: 1 1 1 2 1 1 3 1 2 1 4 1 2 2 1 5
(((((((x mod (((((x mod ((2 + 1) * 2)) + 2) * ((2 + 2) + 1)) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) div 2) + 1)
A253051: 1 1 2 1 1 2 1 2 1 2 1 3 1 1 1 2
(((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (x + 1)) div 2) + 1) div 2) + 1)
A229556: 1 1 1 1 2 1 1 3 3 1 1 4 11 5 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((2 - ((x div 2) div (0 - 2))) * 2) + 1)) div 2) + 1)
A147289: 1 1 1 1 4 1 1 5 5 1 1 6 12 6 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div ((2 + 2) + 1)) * 2) * 2) + 1)) div 2) + 1)
A196989: 1 1 1 1 1 1 1 3 3 1 1 5 10 5 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((x div 2) div (2 + 1)) + 2) * 2) + 1)) div 2) + 1)
A077228: 1 1 1 1 3 1 1 4 4 1 1 4 10 5 1 1
(((((x mod ((((((((x - 1) * x) div 2) mod ((x div (2 + 2)) + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1)
A337633: 1 1 2 1 1 2 1 2 2 1 1 1 2 3 2 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) div (2 - ((x div 2) mod 2))) + 1) div 2)) + 1)
A308813: 1 1 1 1 2 1 1 3 2 1 1 4 5 3 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (((x div 2) mod 2) + 1)) * 2) + 1)
A110291: 1 1 1 1 3 1 1 3 5 1 1 3 9 7 1 1
(x - ((((x div ((x div (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1)) + 2)) * (2 + 1)) div 2) - 1))
A344705: 1 2 3 3 5 6 7 5 8 10 11 8 13 14 15 9
(((((((x div 2) div (((((x * 2) + 1) * x) mod ((2 + 2) * (2 + 1))) + 2)) * (2 + 1)) div 2) * (2 + 1)) div 2) + 1)
A184097: 1 1 1 1 2 1 1 1 1 1 1 2 7 2 1 1
((((((((2 + 2) * (2 + 1)) - 1) * (((x + 2) * x) + 1)) * (x + 1)) div 2) div (2 + 1)) div (((2 + 1) * 2) + 1))
A228189: 0 2 7 16 32 56 89 134 190 261 348 452 575 718 883 1072
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * (((2 + 1) * 2) + 1)))
A131067: 1 1 1 1 8 1 1 15 15 1 1 22 36 22 1 1
(((((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) * (((2 + 2) * 2) + 1)) + x) div (((2 + 1) * 2) + 1))
A189384: 2 5 9 12 16 18 21 25 28 32 34 37 41 44 48 51
((((((((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * (2 + 1)) div 2) * x) div 2) + 1) div 2) + 1)
A074761: 1 1 1 1 1 2 1 1 1 3 1 9 1 4 5 1
(((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) - ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) + 1)
A342765-A321126-A051125: 1 2 2 3 2 3 4 3 3 4 5 4 3 4 5 6
(((x div (2 + 1)) + 1) div (((x div (2 + 1)) + 1) div (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + 1)))
A343033: 1 1 1 1 2 1 1 3 3 1 1 2 5 2 1 1
(((x * 2) - ((((((((x div 2) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) mod (x + 1)) div 2)) + 1)
A024515: 1 3 4 7 8 10 12 13 15 18 19 21 24 25 27 28
(2 - (((x * 2) + 1) mod (1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) - 1))))
A240656: 1 1 1 1 2 1 1 2 2 1 1 3 9 3 1 1
(((((((((((((x + 2) + 1) mod (((2 + 2) * 2) + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) div 2) + 1)
A213194: 1 1 1 2 2 3 1 1 2 2 3 3 4 4 5 1
((((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) * ((2 + 2) + 1)) div 2) * 2) + 1)
A050349: 1 1 1 1 1 5 1 5 1 5 1 15 1 5 5 11
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (((x * 2) mod ((2 + 2) + 1)) + 2)) + 2)) + 1)
A135226: 1 1 1 1 3 1 1 4 5 1 1 5 9 7 1 1
(((x * 2) - (((compr(\x.(1 - (x mod ((((x mod ((2 + 2) + 1)) * 2) * 2) + 1))),x) * ((2 + 2) + 1)) div 2) div 2)) + 1)
A334051: 0 1 2 2 2 3 3 4 4 4 4 3 4 5 6 5
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - ((x div ((x mod ((2 + 2) + 1)) + 2)) + 2))) + 1)
A054142: 1 1 1 1 3 1 1 5 6 1 1 7 15 10 1 1
(((((((x div 2) div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1)
A336395-A336393-A295877: 1 1 2 1 3 2 4 1 2 3 5 2 6 4 7 1
(((((((((((((x mod 2) + x) div (2 + 1)) + x) + 2) * 2) + 1) * 2) + 1) + ((x + 1) div (2 + 1))) div 2) div 2) - 1)
A289012: 1 2 4 6 7 9 10 11 12 14 15 17 18 19 21 23
((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * ((x div 2) + 1)) div 2) * 2) + 1)
A253670: 1 1 1 1 3 1 1 5 5 1 1 7 21 7 1 1
((((((x mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)))) * 2) mod (x + 1)) div 2) * 2) + 1)
A152795: 1 1 1 1 1 1 1 3 1 1 1 11 7 1 1 1
(((((((((x * x) div ((((x mod 2) + 2) * (2 + 1)) + 1)) * 2) + 1) mod (x + 1)) div 2) + (x div (2 + 2))) div 2) + 1)
A131909: 1 1 1 1 1 2 2 1 2 3 3 2 3 3 5 5
(((0 - 2) mod (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2))) + 1)
A274643-A259698-A132731: 1 1 1 1 2 1 1 4 4 1 1 6 10 6 1 1
(((((x - ((x - ((((((2 - x) div 2) * (x + 2)) div 2) div 2) - 2)) div 2)) div 2) + 1) mod (x + 1)) mod ((2 + 2) + 1))
A031268: 0 1 1 1 1 1 1 0 0 0 0 1 2 2 3 3
compr(\x.((((x div 2) + 1) div 2) mod 2),((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)))
A201195: 0 0 0 0 0 0 0 1 1 0 0 6 8 6 0 0
((((((((x div (((((x mod 2) * 2) + 1) * 2) + 1)) mod 2) + 1) * 2) mod (x + 1)) div 2) + 1) + (x div ((2 + 2) + 1)))
A230022: 1 1 2 2 3 3 3 4 3 4 5 5 4 5 4 5
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * (x div ((2 + 2) + 1))))
A333513: 1 1 1 1 1 1 1 3 3 1 1 7 11 7 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) mod 2) * 2) + 1)) * (x div (2 + 2))) + 1)
A101321: 1 1 1 1 2 1 1 4 3 1 1 7 7 4 1 1
(2 - (((x div ((x mod ((((2 - (x - (((2 + 2) * 2) * 2))) * 2) mod ((x div 2) + 1)) + 1)) + 1)) + 1) mod (2 + 1)))
A219840: 1 0 2 1 0 0 1 1 2 0 0 1 1 1 2 0
(((x mod ((x mod ((x div (((((((x div 2) + x) div (2 + 2)) + 1) mod 2) + (x mod 2)) + 1)) + 1)) + 1)) + 1) mod (2 + 1))
A122190: 1 1 1 2 2 0 1 2 0 2 2 1 1 2 0 2
(((((((x div (((0 - 2) - 2) - (x mod (2 + 2)))) mod 2) + (x div 2)) + x) * 2) * (((x * x) div 2) + 1)) mod (2 + 1))
A101662: 0 1 0 2 0 1 2 1 0 1 0 2 2 1 0 2
((((2 + 1) * 2) + 1) mod (1 - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod ((0 - x) - 1)) div (2 + 1))))
A343858: 0 0 1 0 1 1 0 1 1 3 0 1 1 1 1 0
((1 - (((compr(\x.(1 - ((((1 - (x mod (2 + 2))) mod (x + 1)) mod (2 + 1)) mod 2)),x) * 2) - 1) mod (x + 1))) mod (2 + 1))
A029367: 1 0 0 0 1 0 0 1 1 0 1 1 2 0 2 1
(((((((((x + 1) div ((x mod ((2 - (x mod (2 + 2))) + 2)) + 1)) + 1) div 2) + 1) div (2 + 1)) + 1) * 2) div (2 + 1))
A087010: 0 0 1 1 1 0 1 1 2 2 2 2 2 1 2 2
((((((((x + 2) div (((x div ((2 + 2) + 1)) + 2) * ((x mod 2) + 1))) * 2) + 1) div (2 + 1)) + 1) * 2) mod (2 + 1))
A138253: 1 2 1 1 0 1 1 1 0 1 0 1 0 1 2 1
(((((((((((x + 2) * 2) + x) * (x + 1)) div 2) * ((2 + 2) + 1)) div (2 + 1)) div (2 + 1)) + 1) * 2) mod (2 + 1))
A039977: 1 2 0 0 1 1 2 1 1 0 1 2 2 0 0 1
((((((x + 1) mod ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) + (x + 1))) div (2 + 1)) + 1) * 2) div (2 + 1))
A087623: 0 0 1 0 0 2 0 0 0 2 0 0 0 1 4 0
((((((((((2 + 2) * 2) * (x + 1)) * (2 + 1)) + 1) * (x + 2)) * 2) div (((2 + 2) * 2) + 1)) + 2) div (2 + 1))
A226183: 4 11 22 36 54 75 100 129 161 197 236 278 325 375 428 485
(((((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (2 + 1)) div 2) * (2 + 1))
A230652: 0 0 0 0 3 0 0 3 3 0 0 9 3 9 0 0
(((x - ((((compr(\x.(1 - (((1 - x) * x) mod ((2 + 2) * 2))),(x + 1)) - 1) * x) div 2) div (2 + 1))) * 2) mod (2 + 1))
A217864: 0 2 2 2 0 2 1 2 2 1 1 2 0 1 2 1
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) * 2) * 2) div (2 + 1))
A131399: 1 1 1 1 4 1 1 6 6 1 1 9 12 9 1 1
((((x mod (((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) div (2 + 1)) * 2) + 1)) + 2) * 2) div (2 + 1))
A282748: 1 1 1 1 2 1 1 2 3 1 1 4 3 4 1 1
((((((((((((x + 1) * x) * (x + 1)) + 1) * (x + 1)) div 2) * (x + 2)) div 2) div (2 + 1)) + 2) * 2) mod (2 + 1))
A128184: 1 2 1 1 1 1 2 1 1 1 1 0 0 1 1 2
(((((((((((((x + 2) * 2) + 1) * (x + 2)) div (2 + 1)) + x) + x) + 2) * (x + 1)) div 2) div 2) + 2) mod (2 + 1))
A210255: 0 1 0 1 2 0 0 1 2 1 1 2 0 0 0 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) + x) div 2) + 2)) + 2) * 2) div (2 + 1))
A102413: 1 1 1 1 4 1 1 6 6 1 1 8 16 8 1 1
(x mod ((compr(\x.((((((x * 2) - ((x div (2 + 2)) mod 2)) + 1) * (2 + 1)) mod ((2 + 2) + 1)) - 1),x) + 2) div (2 + 1)))
A035389: 0 0 0 1 1 0 0 1 1 2 1 1 1 2 3 3
(((((((((((((x div (2 + 1)) mod 2) + x) * (2 + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x) + (2 + 1))
A067611: 4 6 8 9 11 13 14 15 16 19 20 21 22 24 26 27
(((((((x + 2) * (x + 2)) div (2 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) * (2 + 1)) div 2) - (x div (2 + 1)))
A052336: 1 1 1 2 2 3 4 5 7 9 12 15 18 23 29 35
(((((((((((((2 + 1) * 2) mod ((x div 2) + 1)) + 1) * 2) div (2 + 1)) + 1) + x) * 2) + 1) + x) + x) div (2 + 1))
A166111: 1 2 3 5 6 7 10 11 12 13 14 15 19 21 22 23
((((((((((((((x + 1) * x) div 2) * (2 + 1)) * (x - 1)) + 2) * (x + 1)) - 1) div 2) div 2) + 1) + x) * 2) + 1)
A155778: 3 5 23 83 239
((((((((((((((x - 2) * x) + 1) div ((2 + 2) + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) + x) div 2) + 1)
A052816: 1 2 2 3 4 5 7 9 11 14 18 22 27 33 40 49
(((x + 2) + 2) div ((((((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1) * 2) * 2) - (x mod 2)) + 1))
A303051: 0 0 1 0 1 1 2 0 0 1 2 0 3 2 3 0
(compr(\x.((((((((((x + 1) div 2) mod (2 + 1)) + 1) * (((x div 2) - 1) div 2)) div 2) + x) * 2) mod (2 + 1)) - 1),x) + 1)
A140181: 1 2 3 4 6 7 8 9 12 14 15 17 18 19 20 21
(compr(\x.(1 - (x mod ((((((x + 2) mod (((2 + 2) + 1) * 2)) mod (((2 + 2) * 2) + 1)) + 1) mod (x + 1)) + 1))),x) - 1)
A325440: 1 3 4 6 9 10 12 13 14 15 16 18 20 21 22 24
((((((x * 2) * (2 + 1)) + 1) * 2) * (((((2 + 2) + 1) * x) * 2) + 1)) + (((((x + 2) + 2) + 2) * x) + 1))
A157440: 3 162 563 1206 2091 3218 4587 6198 8051 10146 12483 15062 17883 20946 24251 27798
((((((x * 2) div (((x + 2) div ((x div (2 + 2)) + 2)) + 1)) + 1) mod ((x div ((2 + 2) + 1)) + 1)) + 1) mod (x + 1))
A327522: 0 1 1 1 1 1 2 1 1 2 1 1 1 2 3 1
compr(\x.((x mod ((((((x mod (((2 + 2) * 2) + 1)) - x) * (((2 + 2) * 2) + 1)) - 2) mod (x + 1)) + 1)) - 1),(x + 1))
A185660: 1 2 3 4 5 6 7 8 9 11 13 15 16 17 20 22
compr(\x.(((((x + 1) div (((((x div ((2 + 2) * 2)) + x) mod ((2 + 2) + 1)) * 2) - 1)) + 1) mod (2 + 1)) - 1),(x + 1))
A183172: 1 3 4 5 7 9 10 12 13 14 16 17 18 19 22 23
(((x * x) mod ((((((((x div ((2 + 2) * 2)) + x) mod ((2 + 2) + 1)) div 2) + 1) * 2) * (2 + 1)) - 1)) div (x + 1))
A095750: 0 0 1 2 3 0 0 0 1 0 0 0 0 1 0 0
((((((((((((x + 2) * (x + 2)) div 2) div ((x mod 2) + 2)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div (x + 1))
A008584: 1 0 1 0 1 1 2 1 3 2 4 3 6 4 8 6
(((((((x - ((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * 2)) + 1) div (2 + 1)) + 1) - (x mod 2)) - 1) mod (x + 1))
A287730: 0 1 1 0 1 1 2 1 3 2 3 1 2 1 1 0
(((x div ((((((x + 1) mod ((x div (((x div 2) mod 2) + 2)) + 1)) + 1) mod (x + 1)) + 1) + (x mod 2))) + 1) mod (x + 1))
A198897: 0 1 2 2 2 2 3 2 2 4 3 4 2
((((((((((((((x + 1) * x) + 1) * 2) * 2) + 1) * (x + 1)) div 2) div (2 + 1)) + 1) * 2) + x) - 1) * (x + 1))
A071092: 1 20 93 296 725
(((2 + 1) - (((((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (x + 2)) div 2) div 2) + 1) * 2)) mod (x + 1))
A066504: 0 1 1 1 1 5 1 1 1 7 1 7 1 9 8 1
compr(\x.(1 - (x mod ((((((((x mod (2 + 1)) + 1) * ((2 + 2) + 1)) mod (x + 1)) + 2) div 2) mod (2 + 1)) + 2))),(x + 1))
A026451: 2 4 5 7 8 9 11 13 14 15 17 19 21 23 25 26
(((((((((((((x + 2) + 2) + 1) * (x + 2)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 2) + 2) + 2) + 2) + (x + 1))
A159020: 11 14 17 21 25 30 35 40 46 52 59 66 74 82 91 100
((((x + 1) div ((x div (((((x mod ((x mod ((2 - (x mod 2)) + 1)) + 1)) + 1) mod (x + 1)) * 2) + 1)) + 1)) + 1) div 2)
A097848: 1 1 1 2 1 2 1 2 2 3 1 2 1 2 3 2
(((x mod ((x div ((((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1) - (x mod 2)) + 1)) + 1)) + 1) * 2)
A343997: 2 4 2 8 4 4 6 16 8 4 10 8 12 8 6 32
((((((((((2 + 2) * 2) * 2) * (((x + 2) * x) + 1)) - 1) * (x + 1)) div 2) div (((2 + 1) * 2) + 1)) + 1) div 2)
A184631: 1 5 15 36 71 123 196 292 416 571 760 987 1255 1568 1928 2340
(1 - ((x + 1) mod (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x mod 2) + 1)) + 1) * 2))))
A109626: 1 1 1 1 2 1 1 3 1 1 1 4 3 2 1 1
((((((x + 1) mod ((((((((x * x) * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1) * 2) + 1)) + 1) div 2) + 1) div 2)
A277537-A052154: 1 1 0 1 1 0 1 1 0 0 1 1 2 0 0 1
(((((((x div (((1 - ((((x - 1) mod (2 + 2)) * 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1) div 2) + 1) div 2) + 1) div 2)
A031123: 0 1 0 0 1 1 0 0 0 2 0 0 0 2 0 0
(1 - ((((((((((2 - ((x * 2) mod (((2 + 2) * 2) + 1))) * (x - 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2))
A287417: 1 1 1 1 1 0 1 1 2 0 1 1 2 3 0 1
(2 div ((((2 - (x mod ((((((x + 2) + 2) + 1) div ((((x mod 2) + 1) * 2) * (2 + 1))) * 2) + 1))) * 2) + 1) * 2))
A243841: 0 0 1 0 0 0 0 0 ~1 0 0 1 1 0 0 0
((((((x mod ((((((x mod (((1 - x) div (2 + 1)) - 2)) div 2) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) div 2)
A174656: 0 0 1 0 1 0 1 1 1 1 0 2 0 1 1 1
((((((((((x - (((((x div 2) mod 2) - x) div 2) - 2)) * 2) + (2 + 1)) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2)
A022956: 1 2 3 4 6 9 11 14 18 22 26 30 35 41 46 51
((((((((((((x + 1) div (2 - (((x div 2) * x) mod 2))) div 2) div 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2)
A097576: 0 1 1 1 1 1 1 2 2 2 2 4 3 3 3 6
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((x div 2) + 1) div 2) + 1)) div 2)
A299334-A298629-A298461-A297978: 0 0 0 0 1 0 0 3 3 0 0 6 8 6 0 0
compr(\x.(((x - 1) div 2) mod 2),(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2))
A147644: 1 1 1 1 2 1 1 5 5 1 1 6 10 6 1 1
(((x * x) - (((((x * x) - (((((((x - 2) * x) * (x - 1)) div 2) div 2) div (2 + 1)) + 1)) div 2) div 2) + 1)) div 2)
A025206: 0 0 1 3 6 10 14 20 27 35 45 55 67 81 96 112
(1 - ((((((((2 - ((((((x div 2) - 1) mod (2 + 1)) + x) div 2) + 2)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2))
A029090: 1 1 1 1 1 2 3 3 3 3 4 5 7 7 7 8
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + (((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 1))) div 2)
A115862: 0 0 1 0 1 1 0 2 1 2 0 2 1 2 2 0
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((2 - x) div (2 + 2)) * ((2 + 2) + 1))) div 2))
A069322: 1 1 1 1 4 1 1 6 6 1 1 9 16 9 1 1
(((((((((((((x + 1) * x) div 2) * ((2 + 2) + 1)) + 2) * (x + 1)) div 2) div (2 + 1)) + x) div 2) div 2) + 1) div 2)
A025222: 0 0 1 3 6 10 16 25 35 48 65 84 108 135 166 203
(((compr(\x.(x mod ((((((x + 2) * x) + 1) * ((2 + 2) + 1)) mod (((2 + 2) * 2) + 1)) + 1)),x) + 1) * (2 + 1)) - 2)
A026226: 1 7 16 19 25 34 43 46 52 55 61 70 73 79 88 97
(((((((((((2 + 2) * 2) * (2 + 1)) + x) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2)
A096958: 6 25 65 135 245 406 630 930 1320 1815 2431 3185 4095 5180 6460 7956
((((((((((((x * 2) + 1) * 2) * 2) + x) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2)
A051798: 1 13 55 155 350 686 1218 2010 3135 4675 6721 9373 12740 16940 22100 28356
((((((((((x + 2) * (x + 1)) div 2) * (((2 + 1) * 2) + 1)) - 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) div 2)
A006323: 1 10 41 115 260 511 910 1506 2355 3520 5071 7085 9646 12845 16780 21556
((((((((((((x - 2) * (x - 2)) div 2) div ((x + 2) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) + x) * (2 + 1)) div 2)
A225647: 1 3 4 6 7
A068675: 1 3 4 6 7 9 10 13 15 18 19 21 24 25 27 28
((x + 1) mod ((((((x - ((1 - ((2 + 2) * 2)) * 2)) * 2) * (2 + 1)) mod (((2 + 2) * (2 + 1)) - 1)) + 2) + 2))
A031076: 1 2 3 4 5 6 7 8 1 0 1 1 1 2 1 3
((((((x div (((((((((2 - (x mod 2)) + 1) * 2) * 2) mod (x + 1)) + 2) div 2) * 2) + 1)) + 1) div 2) + 1) * 2) - 2)
A276812: 0 0 0 2 0 2 0 2 2 0 4 2 0 2 0 2
(((((((((x mod (2 - (x div (((2 - x) div (2 + 2)) - 1)))) + 1) div (2 + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2)
A233567: 0 0 1 1 0 1 1 2 2 2 3 1 3 2 4 2
(((((((1 mod (1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2)))) mod (x + 1)) div 2) + 1) * ((2 + 2) + 1)) div 2) div 2)
A096583: 1 1 1 1 3 1 1 5 5 1 1 7 8 7 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x div 2) + 2) + 1)) div 2) div 2)
A300175-A299602-A299554-A298841: 0 0 0 0 1 0 0 3 3 0 0 6 9 6 0 0
(((((((((((x * 2) + 1) * (2 + 1)) + x) * (((x + 1) * 2) + 1)) div 2) div (2 + 1)) + 2) div (2 + 1)) div 2) div 2)
A248358: 0 0 1 3 4 7 9 12 15 19 23 27 32 38 43 49
((((((((((x * x) div ((((x div ((2 + 2) + 1)) * 2) + x) + 1)) + x) + 2) + 2) + x) * 2) div (2 + 1)) + 2) + 2)
A050199: 6 8 10 12 14 15 17 18 20 22 24 26 28 30 32 33
((((((((((2 + 2) * (2 + 1)) - 1) * (((2 + 1) * x) + 1)) mod (x + 1)) + 2) * (2 + 1)) div (x + 1)) + 2) div 2)
A182199: 4 2 3 2 2 2 2 1 2 2 1 1 1 1 2 2
(((((((((((((x mod 2) + x) * ((2 + 2) + 1)) + x) + 1) * 2) * 2) + x) div 2) + x) * 2) * ((x + 1) div 2)) div 2)
A219258: 0 25 29 104 112 237 249 424 440 665 685 960 984 1309 1337 1712
((((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) * 2) * 2)
A186303: 4 12 16 24 36 40 52 64 76 84 96 100 112 120 132 136
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 2) * 2)) + 1) mod ((((x + 1) div 2) div 2) + 2))
A167269: 1 1 1 1 2 1 1 3 1 1 1 4 1 3 1 1
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (1 - (((((x div 2) + 1) div 2) * 2) * 2))) div 2))
A128254-A103450: 1 1 1 1 3 1 1 5 5 1 1 7 12 7 1 1
(1 - ((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2) * 2) * 2) * 2))
A176203: 1 1 1 1 17 1 1 33 33 1 1 49 81 49 1 1
((((((((((((((x - 1) div 2) div 2) + (x mod (2 + 2))) + 1) + x) div 2) + 2) + 2) * (x + 2)) div 2) div 2) + 2) * 2)
A165143: 8 10 16 20 22 32 40 48
((((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * (x + 1)) + 1) * (x + 1)) div ((2 + 2) + 1)) div ((2 + 2) * 2))
A101418: 1 4 11 19 30 44 60 78 99 122 148 176 207 240 276 314
(1 - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((2 - x) div (2 + 2))) div 2))
A225910: 1 1 1 1 2 1 1 3 3 1 1 6 7 6 1 1
(((((((((((x + 1) div (((2 + 2) * 2) - ((x + 2) div (2 + 1)))) * 2) + x) * 2) + 1) + x) + x) + 2) * 2) * 2)
A223454: 12 28 44 60 76 108 124 140 156 188 204 236 252 284 316 332
((((((((((((x div 2) - ((x div (2 + 2)) mod 2)) + 1) * (2 + 1)) div 2) * 2) * 2) div (2 + 1)) + 1) + x) + 2) * 2)
A287270: 8 10 18 20 22 24 28 30 40 42 50 52 54 56 60 62
((((compr(\x.((x mod ((((x mod (((x mod ((2 + 2) + 1)) * 2) - 1)) * 2) mod (x + 1)) + 2)) div 2),x) + 1) + x) div 2) + 2)
A028789: 2 3 6 7 8 10 11 12 13 14 15 18 19 21 22 23
(((((((((((((((x + 1) * 2) * (2 + 1)) - 1) div (x + 2)) mod 2) + 1) + x) + x) + x) + 2) + 2) + x) + 2) + 2)
A011767: 9 14 17 21 25 30 34 38 42 46 50
(((compr(\x.(1 - (x mod (((((x + 2) * (x + 1)) div 2) mod (((2 + 2) * 2) + 1)) + 1))),(x + 1)) + 1) + (x * 2)) div 2)
A288463: 1 3 4 6 9 10 12 14 15 17 20 21 23 24 26 29
((compr(\x.((((x + 1) div ((((x * 2) + 1) mod (((2 + 2) * 2) + 1)) + 1)) mod 2) - (x mod 2)),x) + 1) + ((x * 2) * 2))
A315495: 1 6 11 16 22 28 34 39 44 50 56 61 66 72 78 84
((((((((((((x * 2) div (((2 + 2) * 2) + (x mod 2))) + x) + 2) + 2) + x) + 2) * 2) div (2 + 1)) - 1) + x) - 2)
A097911: 1 3 5 8
A288474: 1 3 5 8 11 13 15 18 21 23 25 28 31 32 35 38
((((((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) - (x mod 2)) * (2 + 1)) + 1) - x) div 2)
A224915: 0 1 5 6 22 23 27 28 92 93 97 98 114 115 119 120
((((((((((((2 + 2) * 2) * 2) + x) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) + x) + 2)
A200872: 10 37 94 195 356 595 932 1389 1990 2761 3730 4927 6384 8135 10216 12665
(((((((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) + x) + 1) * 2) div (2 + 1)) + x) div 2)
A010376: 0 1 3 4 9 10 12
A276986: 0 1 3 4 9 10 12 13 28 29 31 32 37 38 40 41
(((((((((((((2 + 2) * 2) * (x + 1)) + x) * (x + 2)) div 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) + x) div 2)
A111201: 1 4 8 12 18 25 33 41 51 62 74 86 100 115 131 148
((((((((((((1 - (x mod (2 + 1))) mod (x + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + x) div 2)
A049982: 0 0 1 1 2 3 3 3 6 5 5 8 6 7 12 8
((((((((((((((x * x) * x) * (x - 1)) div 2) div (2 + 1)) + x) div 2) + x) div 2) + x) * (2 + 1)) div 2) + x) + 2)
A006808: 2 4 8 15 28 50 90 156
(((((((((((((x * x) * x) div ((2 + 2) + 1)) mod 2) * (2 + 1)) + 1) * x) div 2) div (2 + 1)) + 2) div 2) + x) div 2)
A309965: 0 1 1 2 2 3 4 4 4 6 5 6 8 9 8 10
((((((((((((((x + 1) * x) div 2) div (((2 + 1) * 2) + 1)) + x) + x) * x) div 2) + 1) div 2) + x) div 2) + x) div 2)
A194238: 0 1 2 3 5 7 10 13 16 20 24 29 35 41 48 55
((compr(\x.(1 - ((((((x * 2) - ((x mod ((0 - 2) - 2)) div 2)) + 2) * 2) - 1) mod ((2 + 2) + 1))),x) + 1) + (x div 2))
A237590: 1 2 4 5 7 8 10 11 14 16 18 19 21 23 26 27
(((((((((((x * x) div (((2 + 1) * 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) mod (x + 1)) + 1) - (x mod 2))
A326668: 1 1 2 2 3 3 4 4 6 5 7 7 9 9 12 12
((((((x - (((2 - ((1 - x) div ((x div (2 + 2)) + 2))) * (2 + 1)) div 2)) div 2) + 1) mod (x + 1)) + 1) - (x mod 2))
A029182: 1 0 1 0 2 0 2 1 3 2 3 3 4 4 5 5
((((((((x - ((x - (x div (2 + 1))) div (2 + 1))) * 2) + x) + (2 + 1)) + (((x + 1) div 2) div 2)) + x) + x) div 2)
A231407: 1 4 6
A184814: 1 4 6 9 11 13 16 19 20 23 25 28 31 32 35 38
((((((((((((x + 2) * x) + 1) * ((2 + 2) + 1)) - 1) * x) + 2) * (2 + 1)) + 1) * (2 + 1)) - (x * x)) + 2)
A062640: 23 193 811
(((((((((((((((x * x) + 2) * x) div (2 + 1)) + x) + 2) * x) div (2 + 2)) + 1) + 2) + x) + x) + x) + x) + 2)
A215449: 5 10 17 29 51 90
compr(\x.(((((((x - ((x div 2) div ((2 + 2) + 1))) mod 2) - (x mod 2)) + 1) * ((x div (2 + 1)) + 1)) div (2 + 1)) - 1),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A289351: 0 1 2 3 4 5 6 7 8 9 11 13 15 17 19 31
(((((x - ((((x div ((((((x mod 2) * 2) + 1) * 2) * 2) + 1)) + (x mod 2)) * 2) + 1)) * 2) div (2 + 1)) + 1) + x)
A180020: 0 0 3 4 7 7 9 10 12 14 14 17 17 19 21 22
((((((((((((((x + 2) * (x + 1)) div 2) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) + x) * 2) div (2 + 1)) + 1) - x)
A323089: 1 1 1 2 1 2 3 3 4 4 5 6 7 9 10 12
compr(\x.(1 - (x mod ((((((x mod (((1 - (x * 2)) mod ((2 + 2) + 1)) + 1)) + 1) - (x mod 2)) + 1) mod (x + 1)) + 1))),x)
A154660: 3 4 5 6 7 8
A207966: 3 4 5 6 7 8 10 11 13 14 17 19 20 22 23 25
(((((((((((((x div 2) + x) div (((x div 2) + 2) + 2)) + 1) + 2) * (2 + 1)) * 2) - 1) div 2) div 2) * 2) + 1) + x)
A258469: 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 30
((((x - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) - x) div 2)) div 2) + 1) + x)
A342740: 1 3 4 6 8 10 11 13 14 17 18 19 21 23 25 27
compr(\x.(1 - ((((((((x * x) * x) div ((((x mod (2 + 1)) * 2) + 1) * (2 + 1))) + 1) div 2) + 1) * 2) mod (2 + 1))),x)
A138083: 0 1 2 4 5 6
A276005: 0 1 2 4 5 6 7 12 14 16 18 19 20 22 23 24
((((((((((x - (((x div (2 + 2)) * (2 + 1)) div 2)) * 2) + x) * (2 + 1)) div 2) + 2) div 2) * 2) div (2 + 1)) - x)
A330957: 0 1 1 1 1 1 2 3 1 1 2 3 2 3 3 3
((((((((((((x + 1) div (2 + 1)) * (x div (2 + 1))) + x) + 1) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) - x)
A067357-A051059: 1 1 2 2 2 3 4 4 5 6 6 8 10 10 12 14
compr(\x.(2 - (x mod (((((((x mod ((x mod ((2 - (x mod 2)) + 1)) + 1)) + 1) mod (x + 1)) * 2) + 1) + (x mod 2)) + 1))),x)
A269390: 3 5 6 9 10 11 13 14 17 18 19 20 22 23 25 26
((((((((((2 + 1) * x) mod ((((x + 2) * 2) div (((2 + 2) * 2) + 1)) + 1)) + 1) div 2) + 1) mod 2) + x) + 1) + x)
A189214: 2 4 6 7 10 11 14 16 18 20 22 24 26 28 29 31
((((((((((((((2 + 2) * 2) * 2) + 1) * x) * (x + 1)) div 2) + 1) div ((2 + 2) + 1)) + x) + 2) + x) + 1) + x)
A194139: 3 9 19 32 49 69 92 119 149 183 220 260 304 351 402 456
(((((x - ((((((x mod (((2 + 2) + 1) * 2)) mod ((x div 2) + 1)) + 1) * 2) mod (2 + 1)) - 1)) div 2) + 1) * 2) - x)
A165592-A165578: 0 1 0 1 2 3 2 1 0 1 0 1 2 1 2 3
((1 - (((((((((((x mod (((x mod 2) + 2) + 1)) mod 2) * 2) - 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2)) + x)
A125616: 1 2 3 3 4 5 7 7 9 9 10 11 14 13 16 15
compr(\x.(x - (((x + 1) mod (((((((x mod (((2 + 2) + 1) * 2)) * 2) * (2 + 1)) - 1) mod (x + 1)) * 2) + 1)) * 2)),x)
A233524: 0 1 2 4 5 8
A095031: 0 1 2 4 5 8 10
A323976: 0 1 2 4 5 8 10 12 14 15 19
((((((((((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + x)
A051382: 0 1 2 3 4 6 7 9 10 11 12 13 18 19 21 22
(((((((((2 + 2) * (2 + 1)) + x) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) * ((x + 2) + 1)) - ((x + 2) * x))
A252178: 12 49 132 285 536 917 1464 2217 3220 4521 6172 8229 10752 13805 17456 21777
(loop(\(x,i).(loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A247207: 10 30 354 72354 4338079554 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,x))),x,x) + 1),x,1) * 2) + 1)
A100859: 3 5 7 13 19 29 31 37 43 53 59 61 67 73 79 89
((if x <= 0 then 2 else (loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((if (2 - x) <= 0 then x else 0) + 1)))),x,(x + 1)) + x)) + 1)
A241235: 3 3 1 4 1 2 1 5 1 2 1 3 1 2 1 6
loop(\(x,i).(loop(\(x,i).(x * 2),x,loop(\(x,i).(((2 + 1) * x) + 2),x,0)) - loop(\(x,i).((2 + 1) * x),x,1)),1,loop(\(x,i).(x * 2),x,1))
A061063: 1 23 1199 1672799 2821066795199 4611686018427387903 4611686018427387903
(loop(\(x,i).(1 - loop(\(x,i).(x - (if x <= 0 then 0 else (loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) - 1))),x,x)),2,(x + 1)) - (x + 1))
A085931: 2 4 12 17 23 39 48 58 69 95 109 124 140 157 195 215
loop(\(x,i).compr(\x.(1 - (x mod ((if x <= 0 then 1 else loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x)) + 2))),x),2,x)
A050198: 2 3 4 5 7 9 11 13 16 19 21 23 25 27 29 31
compr(\x.loop(\(x,i).(if x <= 0 then 1 else ((if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1))) - 2)),2,x),x)
A268412: 0 5 9 10 11 13 17 18 19 20 22 23 25 26 27 29
((if (x - 1) <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else (if (x div (2 + 1)) <= 0 then x else (if (x mod ((x mod 2) + 2)) <= 0 then 1 else x)))),x,x)) + x)
A082691: 1 2 1 2 3 1 2 1 2 3 4 1 2 1 2 3
loop(\(x,i).(x * 2),(x - 1),(loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(((x * 2) * 2) + 1),x,0))))
A228700: 0 0 0 8 160 2080 22400 217728 1989120 17461760 149248000 1252354048 10373242880 85129175040 693959884800 5629506387968
(loop(\(x,i).(loop(\(x,i).(i * x),x,1) + loop(\(x,i).(x * 2),x,1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)) - 1)
A186450: 2 5 13 151 5167 39918847
loop(\(x,i).(x * 2),(x - 1),(if x <= 0 then 0 else loop(\(x,i).(x * x),1,loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),(x - 1),1))))
A116421: 0 1 18 400 9800 254016 6830208 188457984 5300380800 151289881600 4369251780608 127394382495744 3743979352236032 110768619888640000 3295931587706880000 4611686018427387903
(if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * 2) * (((2 + 1) * 2) + 1)) else 1) + (if x <= 0 then 1 else 2)) else 1)
A040858: 29 1 3 1 58 1 3 1 58 1 3 1 58 1 3 1
(if (x mod 2) <= 0 then (((if (x mod (2 + 2)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((2 + 2) + 1)) + (if x <= 0 then 1 else 2)) else 1)
A040696: 26 1 7 1 52 1 7 1 52 1 7 1 52 1 7 1
loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,(if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1))
A105574: 2 3 5 3 11 3 17 3 5 3 31 3 41 3 5 3
(loop(\(x,i).(x - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,(x + 1))),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A147849: 3 6 6 10 15 15 21 21 28 36 36 45 45 45 55 55
(if (if x <= 0 then 1 else (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) <= 0 then (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) else 1)
A259182: 1 3 5 1 11 1 17 1 1 1 31 1 41 1 1 1
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + ((x * 2) * (2 + 1))),x,1))
A025979: 1 26 452 6664 90384 1169952 14730304 182323328 2232488192 27147248128 328628192256 3966436411392 47780455321600 574831345147904 6909703728939008 83010267592032256
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A025970: 1 24 388 5376 69328 862848 10547776 127767552 1540506880 18530383872 222632510464 2673205936128 32088199647232 385116900458496 4621754370506752 55463163983560704
loop(\(x,i).(x * 2),(((x + 1) * 2) - (if x <= 0 then 2 else (loop(\(x,i).(x - (if x <= 0 then 1 else (x div ((x mod 2) + 1)))),x,(x + 1)) + x))),1)
A278312: 1 8 16 128 128 2048 4096 32768 16384 524288 1048576 8388608 8388608 134217728 268435456 2147483648
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + (x * 2)) * 2) - 1),i,1) + (((x * 2) * 2) * 2)),x,1))
A028258: 1 30 620 11160 188976 3108960 50434240 812507520 13044728576 209073047040 3348029967360 53591377582080 857645259698176 13723790036459520 219592368170516480 3513571713573027840
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A025977: 1 24 380 5040 60816 693504 7625920 81818880 862797056 8985360384 92714818560 950046289920 9683681284096 98302694129664 994754528460800 10041368129372160
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A075907: 1 40 1040 22400 435456 7956480 139694080 2387968000 40075329536 663887544320 10896534405120 177653730508800 2882307270639616 46596186764738560 751299029274460160 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A028085: 1 30 585 9450 137781 1888110 24862545 318755250 4012058061 49847787990 613622150505 7503229474650 91300979746341 1106997911204670 13386607046238465 161563913916523650
loop(\(x,i).(x * 2),x,loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1))
A025968: 1 22 320 3920 44016 471072 4904320 50237440 509670656 5141007872 51677982720 518395637760 5193684791296 51995352604672 520305091051520 5205162447994880
(loop(\(x,i).loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),i) + 2) * x),i,(x * 2)),x,1) div loop(\(x,i).(x * 2),x,1))
A302156: 1 3 45 4725 5457375 81942485625 20916229168209375 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(loop(\(x,i).(x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))),x,x) - 1),x,x) + (x + 1))
A297616: 1 2 3 3 4 3 4 4 4 3 4 4 5 4 4 4
((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,1))) + loop(\(x,i).(((2 + 2) + 1) * x),x,1))
A198628: 1 3 15 81 435 2313 12195 63801 331395 1710153 8775075 44808921 227890755 1155180393 5839846755 29458152441
((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1))) - loop(\(x,i).((2 + 1) * x),x,1))
A137787: ~2 ~4 ~4 26 272 1826 10736 59426 318272 1670786 8656976 44454626 226827872 1151991746 5830280816 29429454626
loop(\(x,i).(loop(\(x,i).loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)),1,i) + x),x,1)
A109242: 1 111 11211 1122211 112232211 11223332211 1122334332211 112233444332211 11223344544332211 1122334455544332211 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(i - 2),1) + x),x,1),1,loop(\(x,i).(x * 2),x,1)) - 2)
A083942: 0 1 8 625 13402696 19720133460129649 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),x,((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1)) div 2))
A055787: 0 4 80 1408 23808 395264 6496256 106102784 1725759488 27987017728 452890460160 7316694892544 118053383700480 1902813588226048 30644438111879168 493182667873845248
(((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * ((2 + 2) + 1)) else 1) * (2 + 1)) - (if x <= 0 then 1 else 2))
A040866: 29 1 13 1 58 1 13 1 58 1 13 1 58 1 13 1
(((if (x mod 2) <= 0 then ((if (if (x mod ((x mod (2 + 2)) + 2)) <= 0 then x else 0) <= 0 then 1 else 2) * (2 + 1)) else 1) * (2 + 1)) - (if x <= 0 then 1 else 2))
A010157: 8 1 7 1 16 1 7 1 16 1 7 1 16 1 7 1
(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),x,2) + 1) - loop(\(x,i).(((x - 2) * 2) * 2),x,0)),1,(x * 2)) + 1),1,(x + 2)) div 2)
A166916: 357 5525 87637 1399125 22373717 357930325 5726688597 91626231125 1466016552277 23456252253525 375299985724757 6004799570269525 96076792319006037 1537228673882871125 4611686018427387903
loop(\(x,i).loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,((x * 2) + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A119653: 5 7 11 1 23 1 1 1 47 59 1 1 83 1 1 107
loop(\(x,i).(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A135172: 13 35 275 2315 179195 1602515 129271235 1162785755 94151567435 68630914235795 617675543767595 450284043329950835 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if (if x <= 0 then 1 else (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) <= 0 then 1 else (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A259175: 2 1 1 7 1 13 1 19 23 29 1 37 1 43 47 53
loop(\(x,i).loop(\(x,i).((if (x mod (i + 1)) <= 0 then 1 else 0) + x),x,(x * 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A059786: 5 7 11 17 23 29 37 41 47 59 67 79 83 89 97 107
(1 - loop(\(x,i).loop(\(x,i).(x - (if x <= 0 then 0 else ((i * 2) + 1))),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)))
A106044: 2 1 4 2 5 3 8 6 2 7 5 12 8 6 2 11
((loop(\(x,i).(x * 2),x,1) - (loop(\(x,i).((2 + 1) * x),(x - 2),1) - loop(\(x,i).((2 + 1) * x),x,1))) div loop(\(x,i).(x * 2),x,2))
A179523: 0 1 1 2 2 3 5 8 11 17 26 38 58 86 130 195
((loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 1)) + x) + (x * 2))
A193259: 1 4 5 9 10 12 13 18 19 21 22 25 26 28 29 35
(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else (((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) * (x mod 2)) + 1)))),x,x) + x)
A064918: 0 0 1 0 2 0 1 1 3 0 1 0 2 1 2 0
loop(\(x,i).(x * 2),((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) div 2) + (if x <= 0 then 0 else 1)),1)
A318474-A318312: 1 2 2 4 2 4 2 8 4 4 2 8 2 4 4 32
(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1),1) - 1)
A244841: 6 36 780 14196 4017156 65514540 17050729020 273715645476 70274600998836 288161745774346860 4611068345031103956 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((loop(\(x,i).loop(\(x,i).((((x * x) div (2 + 1)) + x) + 1),x,1),x,1) + 1) div 2) * (((2 + 2) * 2) + 1)) + 1))
A045646: 1 10 19 199 4611686018427387903
(((loop(\(x,i).(if x <= 0 then (x + 1) else (2 - loop(\(x,i).(x - (((i mod 2) - (x * 2)) * 2)),x,0))),x,1) * (x + 1)) * (2 + 1)) - 1)
A069151: 2 23 2357
A124513: 2 23 2357 4611686018427387903
(if (x - 1) <= 0 then 1 else ((loop(\(x,i).(x * 2),x,((loop(\(x,i).((x - (((i mod 2) * x) - 2)) * 2),x,1) + 1) div 2)) div (2 + 1)) - 1))
A282802: 1 1 7 4 31 20 127 84 511 340 2047 1364 8191 5460 32767 21844
(((loop(\(x,i).((2 + 1) * x),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),1) div 2) div (2 + 1)) + 1)
A236313: 1 2 1 5 1 2 1 14 1 2 1 5 1 2 1 41
(compr(\x.(loop(\(x,i).((x * x) * x),1,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) mod (x + 1)),(x + 1)) + 1)
A283262-A277187-A087797: 2 3 4 5 7 8 9 11 13 17 19 23 25 27 29 31
(if x <= 0 then 1 else (loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x * 2),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1)))
A267815: 1 11 10111 1101111 111011111 11110111111 1111101111111 111111011111111 11111110111111111 1111111101111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)))
A156762: 1 42 441 37044 194481 8168202 85766121 14408708328 37822859361 1588560093162 16679880978201 1401110002168884 7355827511386641 308944755478238922 3243919932521508681 4611686018427387903
(((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + 1)
A134006: 4 16 84 496 3108 20176 134004 903856 6161988 42326416 292299924 2026332016 14085959268 98111307856 684331371444 4778093436976
((((compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,((x * 2) + 1))),x) * 2) + 1) * 2) + 1)
A002515: 3 11 23 83 131 179 191 239 251 359 419 431 443 491 659 683
((x div ((x mod ((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (if (x mod 2) <= 0 then (((x mod 2) * 2) - 1) else x))) mod (x + 2)) + 1)) + 2)) + 1)
A094521: 1 1 2 1 2 1 4 3 2 1 4 1 2 5 8 1
(((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 2) + 1) * x) * 2)),x) + 1) * 2) + 1)
A028879: 3 5 7 13 17 23 25 47 53 55 65 67 73 77 83 85
((((((((loop(\(x,i).(x * x),1,loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x)) * (x + 1)) div 2) div 2) div 2) + 1) div 2) div 2) + 1)
A274859-A113143: 1 1 1 1 1 2 1 1 2 4 1 1 2 5 8 1
((if x <= 0 then 2 else (2 - (if x <= 0 then 2 else ((if ((x - ((x div ((2 + 2) + 1)) mod 2)) mod (2 + 1)) <= 0 then 2 else 1) + 1)))) + ((2 + 2) + 1))
A098842: 7 5 5 4 5 5 5 4 5 5 5 5 4 5 5 5
(loop(\(x,i).((if (x mod 2) <= 0 then 1 else (((if (x mod (2 + 1)) <= 0 then 0 else 2) + 2) + 1)) + (((2 + 2) + 1) * x)),(x + 1),1) div (2 + 1))
A037794: 3 17 86 430 2153 10767 53836 269180 1345903 6729517 33647586 168237930 841189653 4205948267 21029741336 105148706680
(((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),1,((2 + 1) * x)),x) + 1) * 2) * (2 + 1))
A259826: 120 144 186 204 216 246 288 300 324 342 414 426 474 516 528 534
((if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1) + ((x mod 2) * (2 + 1)))
A040278: 17 4 1 7 1 4 34 4 1 7 1 4 34 4 1 7
compr(\x.((if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else ((x * x) mod (((((x mod 2) * 2) * 2) * x) + 1)))),x,x)) + x),((x * 2) + 1))
A331830: 7 13 19 27 31 39 45 51 55 61 67 75 79 87 93 99
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074578: 3 22 166 1288 10258 83632 695746 5886448 50491138 437851792 3829725826 33721183408 298447606018 2651815532752 23633379691906 211108878589168
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074580: 3 24 194 1584 13058 108624 911234 7703664 65588738 561991824 4843001474 41948320944 364990300418 3188510652624 27953062038914 245823065693424
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((2 + 1) * x),(x * 2),1))
A074575: 3 21 155 1197 9587 78981 664715 5684637 49202147 429727221 3779025275 33407214477 296514964307 2639975541861 23561119043435 210669211182717
(loop(\(x,i).compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),1,((x div (((2 + 2) * (2 + 1)) - 1)) + x)) + 1)
A027563: 1 2 3 5 6 8 9 11 14 15 18 21 23 26 29 30
(compr(\x.((((loop(\(x,i).(x * 2),loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2),2,x),2) div 2) div 2) + 1) mod (2 + 1)),x) - 1)
A004752: 10 18 20 21 26 34 36 37 40 41 42 43 50 52 53 58
loop(\(x,i).(loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) * 2)) - 1),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021304: 1 24 403 5886 80113 1046748 13329631 166873722 2064748525 25337358072 309091680859 3754490630358 45462401712937 549225447909396 6623795021132887 79783347069641394
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016633: 1 25 447 6989 101759 1417941 19180519 253983853 3309800367 42599540357 542895780791 6863463633117 86197420501375 1076563471968373 13382900349107463 165700329729679181
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021844: 1 23 363 4963 63539 787731 9609811 116281811 1401253587 16850623699 202422366419 2430363281619 29172151056595 350112652220627 4201633221810387 50421288464357587
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021534: 1 22 337 4522 57253 705334 8574889 103567234 1246828045 14986093486 179978152081 2160608272186 25932522746677 311221616234278 3734847461630713 44819297962008178
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020594: 1 26 460 6920 95536 1254176 15958720 199053440 2450711296 29915173376 363095649280 4390419138560 52953377222656 637600367845376 7668561507696640 92162065025761280
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A019869: 1 23 367 5075 65551 817643 10013527 121451315 1465540351 17637184763 211960186087 2545454874755 30557298487951 366759842503883 4401557777453047 52821361851453395
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A019628: 1 23 369 5143 66977 841575 10367953 126315191 1529146113 18443562247 221980457777 2668373663319 32052757927009 384859080003239 4619891122628241 55449769683406327
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A018055: 1 22 343 4696 60493 755146 9267091 112644652 1361819305 16412435710 197443515919 2372782379968 28497610413637 342140879536114 4106877441223627 49290837516564244
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020978: 1 29 565 9245 137221 1915949 25677205 334395965 4265954341 53604494669 666045061045 8206250792285 100467119521861 1224084180206189 14859716922480085 179888148281902205
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021944: 1 25 425 6185 83241 1072425 13462825 166325545 2034167081 24716438825 299050134825 3608230161705 43455812660521 522726247165225 6282767285808425 75473627419962665
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021674: 1 24 397 5676 75529 966048 12071269 148688052 1814929057 22024557672 266258052541 3210803780028 38655303353785 464868906584496 5586469016901013 67101965327432004
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020448: 1 25 429 6305 85541 1108665 13976989 173186065 2122320981 25822510505 312717161549 3775431050625 45488017644421 547320192731545 6579560264282109 79048497300991985
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021794: 1 22 335 4460 56061 686802 8317435 100210120 1204613321 14466168782 173649468135 2084076423780 25010353485781 300131513309962 3601614875036435 43219563508677440
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A019747: 1 26 468 7240 103376 1406496 18541888 239158400 3036523776 38104777216 473923294208 5853743400960 71911576293376 879605537447936 10721932937084928 130329861195857920
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020566: 1 26 463 7040 98461 1310486 16902043 213488540 2658229321 32768006546 401049136423 4883135986040 59232793113781 716511189600206 8649599428831603 104258410046219540
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021484: 1 21 310 4050 50371 613671 7411240 89174100 1071295141 12861600921 154369595770 1852587338550 22231809806311 266785528785771 3201445408153900 38417440232993400
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021324: 1 25 437 6629 93429 1260021 16509109 211998133 2682866357 33583284917 416888307381 5141548576437 63087471804085 770938550533813 9390151495286453 114070706832309941
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021254: 1 22 341 4646 59661 743358 9112405 110693878 1337742173 16118816558 193887174117 2329875721446 27981116089837 335931645121822 4032287505801077 48395204420052950
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A018207: 1 25 439 6685 94471 1276405 16745119 215226205 2725568791 34135388485 423910350799 5229781276525 64185946519111 784517071831765 9557062002788479 116113315455883645
loop(\(x,i).((loop(\(x,i).(((loop(\(x,i).(x * 2),i,1) + ((x * 2) * 2)) * 2) - 1),i,1) - x) + (((x * 2) * 2) * (2 + 1))),x,1)
A021274: 1 22 337 4482 55533 660774 7667929 87542794 988535845 11078416206 123498755601 1371575734386 15192048468637 167950256294518 1854154604388553 20449314929530458
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A020571: 1 22 325 4030 45301 478702 4851925 47752510 460048501 4362445582 40876539925 379553364190 3499808594101 32098136255662 293160602826325 2668857246099070
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((x * 2) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A021804: 1 18 213 2098 18669 155946 1248661 9704706 73804797 552214234 4080381669 29857556274 216794571085 1564401539082 11232205936437 80315244188002
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A021494: 1 17 192 1822 15743 128499 1010374 7741184 58209525 431623621 3166395596 23035216386 166469995147 1196633240183 8564499500658 61079918944228
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 2) + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A019757: 1 18 217 2190 19981 170898 1398097 11075670 85654261 650280378 4865931577 35994162750 263799130141 1918854559458 13871649322657 99770067275430
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A021824: 1 20 267 3010 31073 304920 2901319 27075950 249555405 2281579300 20749095731 188036746170 1700122392697 15347941075760 138412864844703 1247405586235270
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A022111: 1 20 263 2878 28449 264048 2350651 20332466 172311557 1438844836 11885079999 97387603014 793247778025 6432389826584 51985193621507 419076145997722
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A020584: 1 24 388 5280 65296 760704 8515648 92705280 989122816 10397865984 108092228608 1114193633280 11410283892736 116262680100864 1179983894560768 11939165879009280
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A020570: 1 21 295 3465 36751 365001 3463615 31794105 284628751 2499039081 21606842335 184519243545 1559982264751 13079717026761 108915112739455 901732722577785
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021504: 1 19 244 2674 27055 261793 2467018 22871728 209866789 1912958047 17361652672 157125321262 1419351371803 12805505620381 115437617402806 1040066979064876
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021829: 1 21 297 3577 39753 422793 4384969 44813769 454009545 4575676105 45971643081 461011315401 4617904831177 46225887853257 462540273695433 4627092539587273
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019488: 1 21 307 3897 46243 529953 5961259 66380889 735097555 8115781905 89452902331 985061928201 10842178002787 119303005894977 1312567620466123 14439652232597433
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019839: 1 21 301 3681 41461 445641 4658221 47871201 486836581 4919066361 49504632541 496978967121 4981629662101 49888557269481 499325240101261 4995920923029441
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A020595: 1 25 421 5965 76741 929005 10791061 121699645 1342777381 14569879885 156038219701 1653799781725 17380932862021 181408804717165 1882561696208341 19442349988398205
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021514: 1 20 273 3208 35069 368988 3800761 38676176 390782997 3931986916 39464899409 395519441304 3960417893485 39635522209004 396543288909417 3966561311533792
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((x * 2) * 2) * 2) * (2 + 1)) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A299074: 1 33 853 20853 502789 12080901 290025541 6961116741 167069824837 4009693935429 96232763288389 2309586971953989 55430091245099845 1330322213391637317 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021204: 1 20 281 3472 40509 459564 5139121 57034088 630398021 6952517572 76586531385 843104877888 9278071860877 102082299710684 1123046352296513 12354356208201112
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A017953: 1 20 283 3518 41209 468608 5247271 58277666 644406997 7108612676 78315612739 862197157094 9488521761265 104399859167624 1148555174389087 12635047273900202
(loop(\(x,i).(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)) * 2) - 1),x,1) * loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A089518: 1 138 10476 683208 42315696 2570768928 155010407616 9318969502848 559578466388736 33585275183251968 2015370124337581056 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074577: 3 21 149 1071 7793 57351 426449 3200631 24221633 184649031 1416683249 10930058391 84737546273 659705518311 5154633748049 40402118583351
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1))
A074571: 3 18 110 684 4322 27708 179930 1181604 7835042 52384428 352707050 2388951924 16262210162 111170407548 762690752570 5248264072644
loop(\(x,i).((loop(\(x,i).(((loop(\(x,i).(x * 2),i,2) + x) + (((x * 2) * 2) * 2)) - 1),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021229: 1 19 248 2786 28983 288273 2786566 26424112 247232645 2291004287 21080414004 192953358078 1759187655187 15990940940461 145026232803362 1312990445670284
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A016314: 1 20 287 3634 43329 500136 5666179 63480878 706360277 7826457892 86486501751 954119775882 10514695335145 115797293297888 1274719738572203 14028563710395046
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A020782: 1 24 385 5160 62401 706104 7628545 79669320 810888001 8089258584 79415935105 769621605480 7379461252801 70134974713464 661651583000065 6203106293141640
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021854: 1 20 265 2940 29601 280740 2558905 22683980 197048401 1685772660 14253277545 119401486620 992861126401 8206523123780 67497981692185 552905862106860
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021544: 1 19 242 2606 25659 239313 2153884 18910012 163042517 1386706607 11670306726 97399296618 807453069775 6657437827501 54644202679568 446846543376824
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019928: 1 20 269 3040 31161 300300 2775109 24887960 218303921 1882786180 16026538749 135010883280 1127921219881 9359429537660 77233958267189 634411837477000
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021754: 1 17 190 1770 14931 118587 905920 6742340 49288261 355826757 2546230050 18106416510 128181315991 904540692527 6368500164580 44764509392280
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019618: 1 21 303 3745 42711 464961 4918663 51086385 524227671 5336085601 54018566823 544793838225 5480212349431 55028108373441 551863246323783 5529708675105265
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019943: 1 21 298 3570 38971 401751 3988468 38583300 366449941 3434404281 31873887838 293663563830 2690806228111 24553315831611 223338364450408 2026585451393160
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021424: 1 16 170 1520 12411 96096 719860 5278240 38153621 273134576 1942326750 13748476560 97001079631 682818667456 4798793396840 33686888924480
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021234: 1 20 277 3324 37149 398916 4181269 43157708 440992717 4475837652 45219751941 455427151452 4576878947005 45927041513828 460378179477493 4611536145214956
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A017999: 1 20 279 3370 37841 407640 4281739 44256950 452652981 4597133860 46465625999 468116448930 4705386343321 47223418005680 473421066847059 4742518890351310
(if x <= 0 then 1 else (compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)))
A046930: 1 1 2 4 4 4 4 4 8 6 6 8 4 4 8 10
(compr(\x.(loop(\(x,i).(((x * 2) - 1) * x),1,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) mod (x + 1)),x) + 1)
A098962: 1 2 3 5 6 7 11 13 15 17 19 23 25 29 31 35
(compr(\x.(1 - (loop(\(x,i).((x * x) * x),1,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) mod (x + 1))),x) + 1)
A325265: 6 10 12 14 15 16 18 20 21 22 24 26 28 30 32 33
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + (((x * 2) * 2) * 2)),x,1)
A021904: 1 22 323 3992 44949 478074 4896391 48839164 477813017 4606751006 43913627979 414851195616 3890711480605 36272898564418 336508406905487 3108995652410948
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021634: 1 21 298 3594 39763 417567 4236796 41963988 408348325 3920543913 37248255694 350941450782 3284131050487 30562445793459 283104150028192 2612274474873576
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021914: 1 23 355 4635 55371 627243 6866155 73433195 772592491 8032358763 82776456555 847393109355 8630981813611 87566313375083 885715453576555 8937574526027115
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A019672: 1 23 365 4975 62661 753783 8811805 101107775 1145674421 12870591943 143722946445 1598128085775 17716831119781 195984586836503 2164626279788285 23881256748106975
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A229026: 1 19 238 2490 23631 211509 1823908 15348100 127057261 1040261799 8453319978 68343722910 550640774491 4426107030889 35521389816448 284771933350920
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A020346: 1 23 359 4747 57351 655683 7229839 77760587 821694071 8571599443 88563029919 908455411227 9267399149191 94137972490403 953097676407599 9624750893682667
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A020976: 1 27 487 7335 99631 1265607 15341887 179688375 2050086511 22913907687 251930201887 2733012078615 29322230800591 311701053949767 3287717299503487 34448718207176055
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021644: 1 22 329 4202 49437 554070 6019393 64026754 670939973 6954808718 71511447657 730821626106 7433874254509 75344008884166 761482226728721 7679159391907058
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A018070: 1 22 339 4532 56357 672210 7813303 89300464 1009144713 11315328398 126186563867 1401795991596 15529706751469 171706382611786 1895807080277631 20910172869786728
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).(((x * 2) * 2) * 2),x,1))
A074574: 3 20 138 980 7122 52700 395418 2998820 22932642 176524460 1365982698 10616089460 82804904562 647865527420 5082373099578 39962451176900
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021772: 1 19 242 2618 26103 248997 2316784 21251956 193359485 1751044295 15814841406 142616378814 1284983809747 11572125768313 104185847231708 937857633325592
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021454: 1 18 220 2310 22561 212268 1957600 17857620 161924521 1463379918 13200803980 118959425130 1071396569881 9646380238968 86836484875360 781623699024840
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021284: 1 22 335 4400 53481 620202 6970675 76624900 828512861 8845504382 93498427815 980374738200 10212261530641 105799242660562 1091082072825755 11208627544304300
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A029887: 1 11 82 515 2934 15694 80324 397923 1922510 9105690 42438076 195165646 887516252 3997537980 17857602568 79200753059
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A021774: 1 20 271 3150 34041 354480 3620611 36607010 368161981 3692428740 36979730151 370080107670 3702237477121 37029646251800 370333177834891 3703516786589130
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A019040: 1 20 281 3460 40161 453300 5048041 55853540 616079921 6785596180 74686191801 821775473220 9040683799681 99453356876660 1094016369479561 12034328357198500
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A021394: 1 19 254 3014 34155 380073 4199368 46270588 509296469 5603570687 61644604242 678112219122 7459321497343 82052887210261 902583169445276 9928420525951016
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A020494: 1 24 391 5394 67921 808164 9257851 103242534 1128792181 12157176504 129404822911 1364594578074 14281107062041 148528742855244 1536752582181571 15830742722056014
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A021464: 1 19 248 2810 29871 307929 3126478 31504000 316245941 3168518639 31715571108 317307900390 3173840747611 31742218586149 317441248586138 3174507821007980
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A021154: 1 19 256 3066 35007 391545 4339462 47896672 527676853 5808513711 63913994508 703155662118 7735220904139 85089973066117 936002419362994 10296090191237004
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A017917: 1 19 258 3110 35651 399609 4433668 48962380 539552901 5939935199 65363612678 719121544050 7910946538951 87023461294789 957273325857288 10530082856852120
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A016325: 1 23 377 5395 71841 915243 11317657 136994195 1631936081 19201296763 223714264137 2585856904995 29694425953921 339138685491083 3855525540397817 43660780944367795
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A019687: 1 24 397 5628 73513 914112 11008549 129690276 1504024705 17241418920 195930981181 2211723344844 24837316537177 277785786712848 3096821665511893 34435641499407732
loop(\(x,i).(x * 2),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)),1)
A218075: 2 4 4 16 4 16 4 16 64 4 64 16 4 16 64 64
((loop(\(x,i).((x * x) * x),1,((((2 + 2) * 2) * (2 + 1)) + 1)) - loop(\(x,i).((x + 1) * 2),x,0)) mod loop(\(x,i).(x * 2),x,1))
A321082: 0 1 3 3 11 11 11 11 11 267 267 1291 3339 7435 15627 15627
((((loop(\(x,i).(x * 2),x,(((loop(\(x,i).((x * 2) * 2),x,2) + 2) + loop(\(x,i).(x * 2),x,1)) + 1)) + 2) * 2) - 1) mod (x + 1))
A341411: 0 1 0 3 0 1 1 3 0 5 4 7 2 13 0 3
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x)),x) + 1)
A215667: 1 3 4 9 15 16 18 19 21 28 30 31 33 39 40 43
(((if x <= 0 then 0 else (((loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),(x - 2),2) - 1) div (x + 1))) mod (x + 1)) div 2) + 1)) + 1) div 2)
A099245: 0 1 1 1 1 2 2 1 1 1 1 3 1 3 3 1
((((x + 1) div ((loop(\(x,i).((x * 2) + 1),1,loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x)) * 2) + 1)) + 1) * 2)
A144412: 2 2 4 0 ~8 0 0 0 0 0 0 0 0 0 0 0
((((x mod 2) - 2) mod (if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then (((2 + 2) * 2) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1)) + 2)
A040285: 17 2 2 5 2 2 34 2 2 5 2 2 34 2 2 5
((((((((loop(\(x,i).(i * x),x,loop(\(x,i).(loop(\(x,i).(i * x),i,2) + x),x,1)) + 2) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2)
A322012: 1 2 8 60 1009
((((if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((x mod 2) + 2)) + 1) div 2)
A010140: 7 2 1 6 1 2 14 2 1 6 1 2 14 2 1 6
(((if x <= 0 then 2 else ((compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((2 + 1) * x) + 1))),x) * 2) + 1)) * (2 + 1)) div 2)
A144919-A007645: 3 7 13 19 31 37 43 61 67 73 79 97 103 109 127 139
(((loop(\(x,i).(loop(\(x,i).(i * x),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),i) + 2),1) + x),x,2) + 1) div (2 + 1)) + 2)
A114337: 3 43 1723 13307323
(if x <= 0 then 1 else loop(\(x,i).(x * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),2))
A100577: 1 2 2 4 2 8 2 8 4 8 2 32 2 8 8 16
((loop(\(x,i).(loop(\(x,i).(x * 2),x,1) - (x * x)),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) div (2 + 1)) div 2)
A166743: 1 13 321 1337 21797 87321 1398013 89478345 357913781 22906492017 366503875645 1466015503393 23456248058853 1501199875789697 96076792050570001 384307168202281705
(((loop(\(x,i).((x * 2) * (2 + 1)),x,2) + loop(\(x,i).(((x * 2) * 2) * 2),x,1)) - loop(\(x,i).((x * 2) * 2),x,(2 + 1))) div 2)
A178294: 0 4 44 376 2960 22624 171584 1303936 9969920 76793344
((compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x + 2) * x) * (2 + 1))) - 1),x) + 1) * 2)
A089238: 2 4 6 10 14 16 20 24 26 34 40 44 54 56 60 64
loop(\(x,i).((x * 2) * 2),x,((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) + loop(\(x,i).((x * 2) * 2),x,1)) div 2))
A045952: 1 12 176 2688 41728 653312 10280960 162332672 2569207808 40732459008 646621167616 10275491151872 163421593010176 2600786039144448 41413155926048768 659738836733001728
(loop(\(x,i).(x * 2),x,1) - ((loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),(x - 1),2) - loop(\(x,i).((x * 2) * 2),x,1)) div 2))
A246472: 1 3 9 30 109 418 1650 6604 26589 107274 432934 1746484 7040626 28362324 114175812 459344920
(loop(\(x,i).(((((loop(\(x,i).(((2 + 1) * x) - 1),x,2) * loop(\(x,i).((x + 1) * 2),x,0)) + 1) * 2) + 1) * 2),1,(x + 1)) - 2)
A183633: 44 340 2300 14644 90524 551380 3333500 20077684
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 1) * x) * (2 + 1)) - 2)),(x + 1)) * 2)
A258663: 2 6 8 10 12 20 22 26 28 30 40 48 50 52 56 58
((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (((2 + 2) * 2) + 1)) else 2) + ((2 - (x mod 2)) * (if x <= 0 then 1 else 2)))
A040825: 29 4 6 4 58 4 6 4 58 4 6 4 58 4 6 4
((if x <= 0 then 1 else (((((((loop(\(x,i).(((if (i mod 2) <= 0 then 2 else 0) + x) * 2),x,1) div (2 + 1)) + 1) div 2) + 1) div 2) + 1) * 2)) + 2)
A343883: 3 4 6 8 10 16 30 54
((((if (x mod 2) <= 0 then ((((if (x mod (2 + 2)) <= 0 then 2 else 1) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 0) * (2 + 1)) + 2) div 2)
A040208: 14 1 13 1 28 1 13 1 28 1 13 1 28 1 13 1
((loop(\(x,i).(x * x),1,((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) * 2) + 1)) div 2) + 2)
A107317: 6 14 26 62 86 146 314 422 482 614 842 926 1202 1514 2246 2966
((loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) + 2) * 2)
A063533: 34 74 290 650 1802 3530 7202 10370 20810 23330 38090 45002 64802 73730 78410 103970
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + loop(\(x,i).((i * x) * (x + 1)),2,2)) + 2)
A138692: 90 95 111 135 207 255 375 447 615 927 1047 1455 1767 1935 2295 2895
(((((((((if x <= 0 then 1 else (loop(\(x,i).(x - ((if x <= 0 then 0 else i) + 1)),x,x) + 2)) + x) + 2) + 2) * (x + 1)) div 2) div 2) + 2) div 2)
A283734-A247714-A087465: 1 2 3 4 5 7 6 8 10 12 9 11 14 16 19 13
(((loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).(x * 2),x,1) + 1)) div 2) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)) * ((2 + 2) * 2))
A000919: 0 0 0 24 240 1560 8400 40824 186480 818520 3498000 14676024 60780720 249401880 1016542800 4123173624
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((x + 2) + 2) * x) * 2) + 1)),x) + 2) * 2)
A090696: 4 8 10 18 20 28 32 38 42 48 52 62 70 78 80 90
(compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 1) * x) + 2) * (2 + 1))) - 1),x) + 2)
A246965: 2 4 5 6 7 11 12 14 15 16 21 25 26 27 29 30
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(1 - (x - (((x * 2) * 2) * (2 + 1))))),x) * 2)
A108233: 0 6 12 16 24 28 34 36 42 52 54 58 64 72 78 82
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 1) * 2) * ((2 + 2) + 1)) + x)),x) * 2)
A102731: 0 4 6 16 28 30 34 36 40 54 58 60 64 76 78 84
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 2) * 2) * ((x * 2) + 1)) + x)),x) * 2)
A108976: 0 2 12 14 20 26 32 36 42 54 56 60 74 84 86 90
compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((2 + 2) + 1) * x) + 2) * (2 + 1))) - 1),x)
A158648: 0 1 3 4 5 6 7 8 10 11 15 18 19 20 21 22
compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((2 + 1) * 2) + 1) * x) * (2 + 1))) - 1),x)
A163627: 0 1 2 3 4 6 9 11 12 14 16 17 18 21 22 23
compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((((x * 2) * 2) + 1) * 2) * 2) * 2) + 1)),x)
A127591: 2 4 10 13 17 19 20 22 23 25 29 32 37 44 50 53
compr(\x.(1 - (((loop(\(x,i).loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),1,(x + 1)) + 1) * (x + 1)) mod (2 + 1))),x)
A014419: 0 1 3 4 6 9 10 12 13 15 18 19 21 22 27 28
compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((2 + 2) * 2) * 2) * 2) + 1) * x)) - 1),x)
A157202: 0 1 2 4 6 7 9 12 13 14 16 18 19 23 26 27
(if x <= 0 then 2 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)))
A054541: 2 1 2 2 4 2 4 2 4 6 2 6 4 2 4 6
(if x <= 0 then 1 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)))
A076368: 1 2 3 3 5 3 5 3 5 7 3 7 5 3 5 7
loop(\(x,i).loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),(x + 1),0)),1,((x + 1) * x))
A080319: 10 111000 11111110000000 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + (loop(\(x,i).((x * 2) * 2),x,1) div 2)) + 2) - x)
A152123: 4 12 49 220 1007
(if (x * x) <= 0 then 1 else ((loop(\(x,i).(((x * x) * (x * x)) * (x * x)),(x - 1),((loop(\(x,i).(x * 2),x,2) + 1) * x)) div 2) * x))
A135235: 1 2 34012224
((((loop(\(x,i).(if x <= 0 then 0 else ((((loop(\(x,i).(((x * 2) - 1) * x),2,x) + 1) + x) * x) + 1)),(x * 2),x) + 1) + x) * 2) + x)
A082912: 2 12367 4611686018427387903
loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)))
A076821: 1 4 4 16 4 16 4 16 36 4 36 16 4 16 36 36
compr(\x.((if x <= 0 then 1 else (((((loop(\(x,i).((if (x mod (i + 1)) <= 0 then 0 else x) - (x * 2)),x,x) div (x + 1)) + 1) div 2) + 1) * 2)) + x),x)
A226025: 15 21 27 33 35 39 45 51 55 57 63 65 69 75 77 81
(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (x div 2)) + (if x <= 0 then 0 else 1))
A088922: 0 1 2 3 3 5 4 6 6 7 6 10 7 9 10 11
loop(\(x,i).((x * 2) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165825: 1 4 4 16 4 16 4 64 16 16 4 64 4 16 16 256
loop(\(x,i).((0 - x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165872: 1 ~2 ~2 4 ~2 4 ~2 ~8 4 4 ~2 ~8 ~2 4 4 16
loop(\(x,i).((2 + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165824: 1 3 3 9 3 9 3 27 9 9 3 27 3 9 9 81
((x div ((((((x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + 1) + 2) + 2) div (2 + 1)) + 1)) + 1)
A107324: 1 1 2 2 3 2 4 3 3 3 6 3 7 4 4 4
((x mod ((((loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)) * 2) - 1) mod (x + 1)) + 1)) + 1)
A071416: 1 2 1 2 1 6 1 2 1 2 1 4 1 2 15 2
((((x * 2) + 1) mod ((((x mod (1 - loop(\(x,i).(x - (if x <= 0 then 1 else ((i + 1) * 2))),x,(x * 2)))) + 1) mod (x + 1)) + 1)) + 1)
A175892: 1 1 2 1 1 3 1 1 2 4 1 1 1 1 5 1
(((x + 1) mod ((((loop(\(x,i).((x + 1) * 2),x,(if (x mod ((x mod (2 + 2)) + 2)) <= 0 then 1 else 0)) mod (x + 1)) div 2) * 2) + 1)) + 1)
A321649: 1 1 1 2 1 1 1 2 1 1 1 1 1 3 2 2
(((loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1) mod (((2 + 2) * 2) + 1)) + 1)
A073637: 8 9 8 1 8 1 8 1 8 8 1 1 8 1 8 8
(((loop(\(x,i).(x * x),1,((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1)) div (2 + 1)) div ((2 + 2) + 1)) - 1)
A332162: 2 626 66266 6662666 666626666 66666266666 6666662666666 666666626666666 66666666266666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x * 2),x,((loop(\(x,i).(x * 2),x,1) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) - 1)) + 1) mod (2 + 1)) + 1)
A102668: 1 3 1 3 2 1 2 3 1 3 1 3 2 1 2 3
(((((((((if x <= 0 then 1 else (if (x mod (2 + 2)) <= 0 then (x div 2) else x)) * 2) - 1) mod (x + 1)) + 2) * 2) * (x + 1)) mod (2 + 1)) - 1)
A106549: 0 ~1 ~1 ~1 1 ~1 ~1 0 ~1 ~1 0 ~1 1 0 ~1 ~1
(((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) div (if x <= 0 then 2 else ((x mod ((2 + 2) * 2)) + 1))) + 1) div 2) mod (2 + 1)) + 1)
A085029: 1 1 2 1 2 1 2 1 3 2 3 1 2 2 2 1
(((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((((x + 1) div 2) div 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A225597: 1 1 2 1 2 3 1 3 3 5 1 3 4 5 7 1
(((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((x + 1) mod (2 + 2)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A079723-A079722: 1 1 3 1 2 3 1 2 3 5 1 2 3 5 7 1
(if (x * 2) <= 0 then 1 else (((((((if (1 - (((x + 1) * x) mod ((2 + 2) + 1))) <= 0 then x else 1) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A254618: 1 2 2 3 2 2 3 4 4 2 2 5 5 6 2 2
(if x <= 0 then 0 else ((((((((loop(\(x,i).(((x mod (i + 1)) * 2) + 1),x,1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A325121: 0 1 1 2 2 2 1 3 2 3 2 3 2 2 3 4
((if (x - 1) <= 0 then x else ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1))) + 1)
A212356: 1 2 3 4 3 5 3 5 4 5 3 7 3 5 5 6
(loop(\(x,i).(x * 2),((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)),1) mod (((2 + 2) * (2 + 1)) - 1))
A111588: 1 1 1 2 1 2 1 4 2 2 1 8 1 2 2 10
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)) + 1)
A023523: 3 7 16 36 78 144 222 324 438 668 900 1148 1518 1764 2022 2492
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)) - 1)
A023515: 1 5 14 34 76 142 220 322 436 666 898 1146 1516 1762 2020 2490
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) - 1)
A037165: 1 7 23 59 119 191 287 395 615 839 1079 1439 1679 1931 2391 3015
(((loop(\(x,i).(x * x),1,((x mod ((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1)) - 1) mod (x + 1)) + 1)
A274006-A203025-A057521: 1 1 1 4 1 1 1 8 9 1 1 4 1 1 1 16
(if (x mod 2) <= 0 then 1 else (((1 - ((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1) mod (2 + 1))) mod (x + 1)) + 1))
A237835: 1 1 1 1 1 6 1 1 1 2 1 12 1 2 1 1
((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) * 2) + 1)
A114003: 1 3 3 5 3 7 3 7 5 7 3 11 3 7 7 9
((((((loop(\(x,i).loop(\(x,i).(((((i * 2) - 1) * i) + (x * 2)) + x),x,1),x,0) + 1) * (x + 1)) div (2 + 1)) + 1) * 2) + 1)
A177007: 3 5 13 631 4611686018427387903
(((if x <= 0 then 2 else ((((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) + ((x mod 2) + 2)) div (2 + 1)) * 2) div (2 + 1)) + 1)) div 2) + 1)
A245077: 2 1 1 2 1 2 2 1 2 2 1 2 2 1 3 3
(loop(\(x,i).(x * 2),x,1) mod (((((((((loop(\(x,i).(i * x),(x - 1),1) + x) div 2) + 1) div (x + 1)) + 1) div 2) + 1) * 2) - 1))
A260019: 1 2 0 0 1 2 9 34
((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x) * (2 + 2)) + 1) * 2) + 1)
A186301: 3 11 27 35 51 59 99 107 147 155 171 179 195 227 267 275
((((loop(\(x,i).(((loop(\(x,i).(((x - 1) * x) - 1),x,((2 + 2) * 2)) - 1) * 2) - 1),(x + 1),2) + 1) * (2 + 1)) * 2) + 1)
A172712: 35617 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) * (((2 + 1) * 2) + 1))
A332170: 0 707 77077 7770777 777707777 77777077777 7777770777777 777777707777777 77777777077777777 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(x - ((x div (2 + 2)) * (2 + 1))),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1) div 2) - 1)
A208882: 0 1 0 1 2 1 2 3 3 3 4 4 5 6 6 6
(if x <= 0 then 0 else ((x div ((x div ((((x - 1) mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + (x mod 2)) + 1)) + 2)) + 1))
A171453: 0 1 1 2 1 2 1 4 3 2 1 3 1 2 2 8
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + ((x + 1) mod (((2 + 2) * 2) + 1))),x) + 1) * 2) + 1)
A061237: 19 37 73 109 127 163 181 199 271 307 379 397 433 487 523 541
((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) mod ((((2 + 2) * 2) * 2) + 1)),1,((x + 1) * 2)) + (x + 1)),x,1) * 2) + 1)
A277167: 3 11 31 47 53
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + (((x div 2) + 1) mod ((2 + 1) * 2))),x) + 1) * 2) + 1)
A130063: 23 47 71 73 97 167 191 193 239 241 263 311 313 337 359 383
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) + 1) div 2) + 1)
A078444: 2 3 5 8 11 14 17 20 25 29 33 38 41 44 49 55
(((x * 2) * (2 + 1)) mod (((if x <= 0 then 2 else (loop(\(x,i).((x * x) * x),2,(((2 + 2) * (2 + 1)) - 1)) mod (x + 1))) + 2) - 1))
A126164: 0 0 0 2 0 0 0 2 3 0 0 6 0 0 0 6
((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + x) + (if x <= 0 then 1 else 2)) + 1)
A062249: 2 4 5 7 7 10 9 12 12 14 13 18 15 18 19 21
(((loop(\(x,i).((x + 1) * x),1,(((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) + 1)) div 2) div 2) + 1)
A292504: 1 1 1 2 1 2 1 4 2 2 1 6 1 2 2 11
(((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) + 1))),x) * 2) + 1) * 2) * 2) + 1)
A294919-A007521: 5 13 29 37 53 61 101 109 149 157 173 181 197 229 269 277
(((((((((((loop(\(x,i).(loop(\(x,i).(i * x),(x - 2),1) + x),x,0) div 2) - 1) div 2) * x) + 2) * x) div 2) + 1) div 2) div 2) + 1)
A218122: 1 1 1 2 2 5 34 4611686018427387903
(((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + (x div (2 + 2))) + 1) mod ((((x + 1) div 2) div 2) + 1))
A138319: 0 0 0 1 1 1 0 0 1 2 2 2 0 2 1 2
(loop(\(x,i).((((x * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((2 + 2) + 1))
A138426: 6 48 624 3360 32208 74256 283968 495216 1287264 4102224 5725824 13868784 23171232 29401680 45868992 83639088
(loop(\(x,i).((((x * x) * (x * x)) div 2) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((2 + 2) + 1))
A138428: 3 24 312 1680 16104 37128 141984 247608 643632 2051112 2862912 6934392 11585616 14700840 22934496 41819544
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) + ((2 + 2) + 1))
A092949: 6 9 13 19 25 31 37 43 53 61 69 79 85 91 101 113
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x)) + ((2 + 2) + 1))
A111254: 8 11 17 21 29 33 41 49 55 67 73 81 89 97 107 115
((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) * (x + 1)))),x) * (2 + 2)) + 1)
A071695: 5 17 29 41 101 137 149 197 269 281 461 521 569 617 641 809
((((loop(\(x,i).(x * 2),x,(if ((x + 1) mod (((2 - x) mod ((2 + 2) + 1)) + 2)) <= 0 then 2 else 0)) + 1) div (2 + 1)) + 1) mod (2 + 1))
A121361: 1 1 1 1 0 1 1 2 1 0 1 1 1 1 1 0
((((loop(\(x,i).(x * 2),x,((loop(\(x,i).((x * 2) * (2 + 1)),x,(x + 1)) mod ((x * 2) + 1)) + 1)) div 2) div 2) + 1) mod (2 + 1))
A033687: 1 1 2 0 2 1 2 0 1 2 2 0 2 0 2 0
(((((if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * 2) * 2) + 1) div (2 + 1))
A010215: 12 1 11 1 24 1 11 1 24 1 11 1 24 1 11 1
((((if x <= 0 then 1 else (((((x - (if ((x div (2 + 2)) - 2) <= 0 then 0 else 2)) div (2 + 1)) + x) + (x * 2)) * 2)) * 2) + 1) div (2 + 1))
A058759: 1 4 8 13
A311889: 1 4 8 13 17 21 27 31 35 40 44 48 52 56 61 65
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2),1) div (2 + 1)) div (2 + 1))
A259102: 111 11111 1111111 11111111111 1111111111111 11111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(x * 2),x,((if ((x * 2) mod ((((x + 1) mod (2 + 2)) + 2) + 2)) <= 0 then (2 + 2) else 0) + 1)) mod (x + 1)) mod (2 + 1))
A229878: 0 0 1 0 1 2
A318463: 0 0 1 0 1 2 1 0 1 0 1 2 1 2 2 0
(((2 - ((x mod 2) - loop(\(x,i).((((2 - (x mod 2)) * 2) * 2) * (if x <= 0 then 1 else 2)),(x mod (2 + 2)),1))) mod (x + 1)) mod (2 + 1))
A228360: 0 1 0 1 0 0 1 1 0 0 1 2 0 0 0 1
((loop(\(x,i).(x * 2),(((1 - x) mod (((x - ((x div (2 + 1)) mod (2 + 1))) div 2) + 1)) + (if x <= 0 then 0 else 1)),1) * 2) div (2 + 1))
A090079: 0 1 2 1 2 5 2 1 2 5 10 5 2 5 2 1
(if x <= 0 then 1 else (((x + 1) div 2) - (((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1))))
A319318: 1 1 1 1 2 1 3 2 3 3 5 2 6 5 5 5
((loop(\(x,i).((if x <= 0 then 1 else (x - (((x - 1) div ((2 + 2) + 1)) * (2 + 1)))) + x),(x div 2),((x + 1) mod 2)) + 2) div (2 + 1))
A262090: 1 0 1 1 2 1 3 2 5 3 7 5 11 7 15 11
((x + 1) mod ((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)))
A054008: 0 0 1 1 1 2 1 0 0 2 1 0 1 2 3 1
((loop(\(x,i).(((x * x) * (x + 2)) * (x + 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A098741: 8 30 175 588 3146 5915 16473 25270 52900 130355 169136 338143 505981 610170 865928 1390455
((loop(\(x,i).(((x * x) * x) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A138435: 4 36 500 2744 26620 61516 235824 411540 1070696 3414460 4766560 11548884 19297880 24488156 38206864 69674436
((loop(\(x,i).(((x * x) * x) * ((x * x) div 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A138437: 2 18 250 1372 13310 30758 117912 205770 535348 1707230 2383280 5774442 9648940 12244078 19103432 34837218
(loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138454: 16 216 5000 38416 585640 1599416 8018016 15638520 49252016 198038680 295526720 854617416 1582426160 2105981416 3591445216 7385490216
(loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138442: 20 240 5200 39200 590480 1608880 8045760 15681840 49345120 198274160 295834240 855241680 1583367520 2107120400 3593071040 7388119440
(loop(\(x,i).(((((x * x) * (x * x)) div 2) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1))
A138445: 10 120 2600 19600 295240 804440 4022880 7840920 24672560 99137080 147917120 427620840 791683760 1053560200 1796535520 3694059720
((((((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((x + 1) div 2)) + x) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1)
A283962: 1 2 3 4 5 6 7 8 9 11 10 12 13 15 17 14
((((compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) + 1) + compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)) div 2) + 1)
A097911: 1 3 5 8
A062839: 1 3 5 8 10 14 16 20 24 27 33 36 40 44 48 53
(((((((compr(\x.loop(\(x,i).(x div ((if (x mod 2) <= 0 then 2 else 0) + 1)),x,(x * 2)),x) + 1) * ((2 + 2) + 1)) div 2) div 2) + x) div 2) + 1)
A036795: 1 2 4 5 9 10 12 13 22 23 25 26 30 31 33 34
(((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1)
A091802: 2 1 5 4 10 1 5 17 20 6 19 1 16 36 40 46
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) - ((x * 2) - 1))
A108568: 2 3 5 9 13 17 21 25 33 39 45 53 57 61 69 79
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else (if (x mod (2 + 1)) <= 0 then ((2 + 2) * 2) else ((x div 2) + 1)))
A275204: 1 1 1 1 3 1 1 4 5 1 1 6 8 7 1 1
(if x <= 0 then 1 else (((((((x div (2 + 1)) + 1) div ((if (x mod ((2 - (x mod 2)) + 2)) <= 0 then 2 else 0) + 1)) div 2) + 1) - (x mod 2)) + 1))
A188550: 1 1 2 1 2 2 3 2 2 1 4 3 2 3 4 2
(x div (((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) + (x div (((2 + 1) * 2) + 1))) - (x mod 2)) + 1))
A324285: 0 0 0 1 0 2 0 2 1 3 0 3 0 4 2 3
(compr(\x.(2 - ((if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2)) mod (2 + 1))),x) + 1)
A268391-A246551: 2 3 5 7 8 11 13 17 19 23 27 29 31 32 37 41
((compr(\x.(loop(\(x,i).(((i div 2) + 1) * x),x,1) mod (x + 1)),x) + 1) + (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))
A171639: 2 6 9 13 16 21 25 31 34 39 47 51 58 63 67 72
(compr(\x.(((loop(\(x,i).loop(\(x,i).((((x * x) * x) + 1) * x),1,((x * 2) + 1)),1,((2 + 1) * x)) * x) + 2) mod (x + 1)),x) + 1)
A018553: 1 2 3 6 103 206 309 618
loop(\(x,i).((if (2 - (((1 - (x * 2)) * 2) mod (((x div (2 + 2)) + 2) + 2))) <= 0 then 1 else 0) + ((((2 + 2) + 1) * x) * 2)),x,1)
A266680: 1 11 110 1101 11011 110111 1101111 11011111 110111111 1101111111 11011111111 110111111111 1101111111111 11011111111111 110111111111111 1101111111111111
((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 1)) * (compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 1))
A087105: 12 24 60 96 192 252 396 560 720 1080 1280 1596 1932 2288 2784 3240
((((loop(\(x,i).(((x div (if i <= 0 then 1 else i)) + (x * 2)) * 2),x,(x + 2)) div 2) * (((x + 1) * 2) + 1)) div (2 + 1)) * (x + 1))
A106440: 1 30 420 4200 34650 252252 1681680 10501920 62355150 355655300 1963217256 10546208400 55367594100 285028443000 1442592936000 7193730107520
(((if x <= 0 then 1 else x) - (((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1))) * (x + 1))
A069553: 1 2 6 8 20 18 42 40 63 70 110 84 156 154 180 192
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * (x + 1))
A231407: 1 4 6
A038040: 1 4 6 12 10 24 14 32 27 40 22 72 26 56 60 80
((compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) * (x + 1))
A147967: 0 2 3 12 5 18 7 24 45 10 55 36 13 42 75 80
(loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - ((((x + 2) * x) + 1) * (x + 1)))
A262186: 7 19 98 279 1206 1981 4570 6347 11438 23389 28460 48925 66724 76763 100448 144781
(((if x <= 0 then 1 else ((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 2)) * (x + 1))
A296966: 0 0 3 4 5 12 7 16 18 20 11 48 13 28 45 48
(((if x <= 0 then 1 else (((((loop(\(x,i).(((x div ((i + 2) + 2)) + x) * 2),x,1) * (x + 1)) - 1) div 2) div 2) * 2)) + x) div (x + 1))
A034007: 1 0 2 4 9 20 44 96 208 448 960 2048 4352 9216 19456 40960
loop(\(x,i).(loop(\(x,i).((((((x * 2) * 2) div (i + 1)) * ((i * 2) - 1)) div (i + 1)) * ((i * 2) + 1)),i,(i + 1)) + x),x,1)
A082578: 1 7 67 767 9587 126011 1711595 23796515 336666215 4828084575 69994481871 1023793569567 15086216016367 223704570996367 3335098322412367 49954148031128767
loop(\(x,i).(loop(\(x,i).(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1,i) + x),x,1)
A163866: 1 2 3 4 6 7 8 11 14 15 16 20 26 30 31 32
(loop(\(x,i).((((((((((loop(\(x,i).(((i + 1) * i) + x),i,0) + x) + x) + x) + x) + x) + x) + x) + x) + x) + x),x,0) div 2)
A262183: 0 1 14 150 1520 15235 152406 1524144 15241560 152415765 1524157870 15241578986 152415790224 1524157902695 15241579027510 152415790275780
(((((compr(\x.((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) + 1) mod (2 + 1)),x) + 1) * 2) * (2 + 1)) - 1) div 2)
A026231: 8 17 20 26 35 44 47 53 56 62 71 74 80 89 98 101
((compr(\x.(1 - (x mod ((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod (x + 1)) + 2))),(x + 1)) + 1) * 2)
A083348: 8 12 16 18 20 24 28 30 32 36 40 44 48 52 54 56
((((loop(\(x,i).(x * 2),x,(((if (x mod (2 + 2)) <= 0 then 2 else (x mod 2)) * ((x div (2 + 2)) + 1)) - 1)) mod (x + 1)) div 2) + 1) div 2)
A288002: 0 0 1 0 1 1 2 0 1 1 3 1 2 2 3 0
(((((loop(\(x,i).((2 + 1) * x),(if x <= 0 then 1 else (((x div (2 + 2)) * (2 + 1)) div 2)),1) * (2 + 1)) mod (x + 1)) div 2) + 1) div 2)
A335230: 0 0 0 1 1 1 1 0 0 0 1 2 2 1 1 1
(((((loop(\(x,i).((((((x div 2) mod 2) + x) div 2) + (if x <= 0 then 1 else (x * 2))) + ((x * 2) * 2)),2,x) + 1) div 2) div 2) + 1) div 2)
A314120: 1 5 11 16 21 26 32 38 42 47 53 59 64 68 74 80
((((loop(\(x,i).(((((if (x - 2) <= 0 then 1 else ((x + 1) div (((2 + 1) * 2) + 1))) + x) div 2) + x) + 2),x,1) div 2) div 2) + 1) div 2)
A023437: 0 1 1 2 3 5 8 13 20 32 50 79 124 195 306 481
((((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2) + 1)) div 2) div (2 + 1)) * ((2 + 2) + 1)) - 2)
A332138: 8 383 33833 3338333 333383333 33333833333 3333338333333 333333383333333 33333333833333333 3333333338333333333 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) div 2) + (if x <= 0 then 0 else 1)) * (2 + 1)) div 2)
A290080-A289617: 0 1 1 3 1 3 1 4 3 3 1 4 1 3 3 7
((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) mod ((2 + 1) * 2))
A054763: 1 2 2 4 2 4 2 4 0 2 0 4 2 4 0 0
(((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) * (x + 1)))),x) * 2) + 1) * 2)
A335908: 6 18 30 42 102 138 150 198 270 282 462 522 570 618 642 810
(((compr(\x.(2 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),(((((2 + 1) * 2) + 1) * 2) * 2),x)),x) * 2) + 1) + 2)
A073523: 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2)
A099407: 1 4 12 30 60 96 144 198 308 420 540 720 840 966 1196 1508
(((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2)
A014302: 5 14 33 65 102 152 207 319 434 555 738 860 987 1219 1534 1769
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2)
A014303: 2 6 15 35 66 104 153 209 322 435 558 740 861 989 1222 1537
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + (compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 1)) div 2)
A073273: 3 4 7 9 13 15 19 23 26 32 35 39 43 47 52 56
(((x - (((if x <= 0 then 2 else ((if x <= 0 then 2 else ((((x div ((x mod 2) + 2)) + 1) div 2) + 1)) div 2)) * (2 + 1)) - 1)) mod (x + 1)) div 2)
A154258: 0 0 0 0 1 1 2 2 3 3 2 4 3 5 4 5
((((((if x <= 0 then 2 else (2 - ((x + 1) mod (((if ((x - 1) mod (2 + 2)) <= 0 then 2 else 1) * 2) + 1)))) div 2) + 1) * 2) mod (x + 1)) div 2)
A284478: 0 0 0 1 1 1 1 1 2 2 1 2 1 0 2 1
((x + 2) mod (((((if (x * x) <= 0 then 1 else ((loop(\(x,i).((x * 2) * 2),(x - 2),(2 + 1)) * 2) + 1)) + x) * 2) mod (x + 1)) + 2))
A330167: 0 1 0 1 2 1 0 1 0 1 1 1 2 3 2 1
((((((if (x mod 2) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 1) * (2 + 1)) mod ((x div (2 + 1)) + 1)) + 1) + 2) div 2)
A198898: 1 1 1 2 1 2 1 1 1 3 2 3 3 3 3 3
(((((((x div ((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,2) - 1) mod (x + 1)) + 2) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A140993-A137940-A027935: 1 1 1 1 2 1 1 2 4 1 1 2 5 7 1 1
(((x + 2) - ((x + 1) div (if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2)))) * 2)
A244363: 2 4 6 8 8 12 10 16 16 20 14 24 16 26 26 32
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + ((((((2 + 2) * 2) * 2) + 1) * 2) * 2))
A138691: 72 77 93 117 189 237 357 429 597 909 1029 1437 1749 1917 2277 2877
(2 - ((x mod 2) - (((x + 1) mod ((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod (x + 1)) + 2)) div 2)))
A048684: 2 1 2 1 2 2 2 1 4 2 2 1 2 2 2 1
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + ((((((2 + 1) * 2) + 1) * 2) * 2) * 2))
A138690: 60 65 81 105 177 225 345 417 585 897 1017 1425 1737 1905 2265 2865
(((((((loop(\(x,i).(x * 2),x,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) + (x mod 2)) + 1) * (x + 1)) div 2) div 2) + 2)
A201363: 2 3 7
A103173: 2 3 7 8 53 77
(loop(\(x,i).((x + 1) * x),1,(2 - (if x <= 0 then 1 else ((x mod 2) - ((((x * 2) + 1) mod (1 - (x div ((0 - 2) - 2)))) div 2))))) div 2)
A337333: 1 1 3 1 3 3 3 1 6 3 3 3 3 3 10 1
((if x <= 0 then 2 else (((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((2 + 2) * (2 + 1))) + 2) div 2) div 2)) + 2)
A180217: 4 3 3 4 5 2 3 4 5 3 4 2 3 4 5 3
((((loop(\(x,i).loop(\(x,i).((((x * 2) + 1) * 2) * 2),(x + 1),0),1,((((x + 2) * x) + 2) * (x + 1))) div 2) div 2) + 2) div 2)
A171407: 37 613566757 4611686018427387903
(((loop(\(x,i).(((x * x) * x) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div 2)
A138436: 3 27 375 2058 19965 46137 176868 308655 803022 2560845 3574920 8661663 14473410 18366117 28655148 52255827
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((x * 2) + 1),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 2))) div 2)
A332157: 7 575 55755 5557555 555575555 55555755555 5555557555555 555555575555555 55555555755555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((x * 2) + 1),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(2 + 2))) div 2)
A332153: 3 535 55355 5553555 555535555 55555355555 5555553555555 555555535555555 55555555355555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2)
A138455: 12 162 3750 28812 439230 1199562 6013512 11728890 36939012 148529010 221645040 640963062 1186819620 1579486062 2693583912 5539117662
((loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2)
A138443: 15 180 3900 29400 442860 1206660 6034320 11761380 37008840 148705620 221875680 641431260 1187525640 1580340300 2694803280 5541089580
((((if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),(x - (((2 + 1) * 2) + 1)),1) div 2) + 1) div 2) + 1) * 2)) - (x mod 2)) div 2) div 2)
A251759: 0 0 0 0 0 0 0 0 1 0 1 2 4 8 16 32
(((((loop(\(x,i).(((x * 2) - 1) * (x div 2)),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) div 2) div 2) + 1) mod (2 + 2))
A271714: 1 1 1 1 3 1 1 1 1 3 2 1 3 1 2 1
(((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) div 2)
A102770: 7 17 38 71 110 161 218 333 449 573 758 881 1010 1245 1563 1799
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) - 2)
A124669: 4 13 33 75 141 219 321 435 665 897 1145 1515 1761 2019 2489 3125
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) * 2)
A069486: 12 30 70 154 286 442 646 874 1334 1798 2294 3034 3526 4042 4982 6254
(2 - ((if x <= 0 then 2 else (((((x mod 2) * 2) - 1) * (x + 1)) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))) div 2))
A163294: 1 3 6 4 10 6 14 8 18 12 23 15 29 17 33 21
(((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) * (x + 2)) div 2)
A162775: 2 3 8 5 12 7 16 27 10 33 24 13 28 45 48 17
((((((x div (((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) + 2) + 1)) + x) + x) * 2) div (2 + 1)) + (if x <= 0 then 1 else ((x * 2) * 2)))
A313918: 1 5 10 16 22 27 33 38 44 50 55 60 65 70 76 82
(if (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) <= 0 then 1 else (if ((x div 2) mod 2) <= 0 then (x div 2) else 2))
A110971: 1 1 1 1 2 1 1 2 4 1 1 2 6 6 1 1
(((loop(\(x,i).(if x <= 0 then 1 else (((x + 1) * (2 + 1)) - ((x - (x div (2 + 1))) div (2 + 1)))),1,((x + 1) div 2)) + 1) + x) - 2)
A164018: 0 6 7 11 12 16 17 20 21 25 26 30 31 35 36 39
(if x <= 0 then 1 else ((((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1)) + x) * 2))
A315637: 1 6 12 16 20 26 32 36 40 46 52 58 64 68 72 78
(if x <= 0 then 1 else ((((((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) * (2 + 1)) div 2) * (2 + 1)) div 2) + x) div 2) + x) * 2))
A315730: 1 6 12 18 22 28 32 38 42 48 54 60 66 72 78 82
((((((if x <= 0 then 1 else ((loop(\(x,i).(0 - ((x div ((i + 2) + 2)) + x)),2,x) + x) * 2)) + 2) * 2) div (2 + 1)) - 1) + (x * 2))
A315418: 1 6 11 15 20 26 32 37 41 46 52 58 63 67 72 78
(((((((if x <= 0 then 0 else ((((2 + 1) * x) + (x div (2 + 1))) + 1)) + x) + 2) + (x div 2)) * 2) + 1) + (if x <= 0 then 1 else (x * 2)))
A063230: 6 17 29 41 53 63 77 87 99 111 123 133 147 157 169 181
((((((loop(\(x,i).(x * 2),x,(((if (x mod ((2 + 2) + 1)) <= 0 then 0 else 2) * 2) + 1)) - 1) mod (x + 1)) div 2) * 2) + 1) + (x mod 2))
A072014: 1 2 1 4 5 2 5 8 1 10 1 4 5 10 5 16
loop(\(x,i).(x * x),1,((if (x - 1) <= 0 then 1 else (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) + (x mod 2)) * 2)) - (x mod 2)))
A056897: 1 0 0 1 0 1 0 9 4 1 0 1 0 9 4 1
((((loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))),1,i) + x),x,1) + x) + x) + x) + 2)
A194141: 3 10 21 35 53 75 101 130 163 200 241 285 333 385 440 499
((((((if (x - 1) <= 0 then 1 else ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 2)) + 2) * 2) div (2 + 1)) - 1) + x)
A145110: 1 2 3 6 5 10 7 13 11 14
(((((loop(\(x,i).(loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x) - 1),x,(x + 1)) mod ((x + 1) * 2)) div 2) * 2) + 1) - x)
A124071: 1 2 3 2 3 4 5 2 3 2 3 4 3 4 5 2
((((loop(\(x,i).(x - (x div ((2 + 2) * 2))),2,(x - 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2))) - ((x + 1) div (2 + 1))) - x)
A058759: 1 4 8 13
A312100: 1 4 8 13 18 22 27 32 36 40 44 48 53 58 62 67
(if (x div (((2 + 1) * 2) + 1)) <= 0 then (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) else (((2 + 2) * (2 + 1)) + x))
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A331046: 2 3 5 7 11 13 17 19 20 21 22 23 24 25 26 27
compr(\x.(((((x - (if (x mod (((x + 2) div ((2 + 2) + 1)) + 1)) <= 0 then (if x <= 0 then 0 else 1) else 2)) div (2 + 2)) + x) + 2) mod (2 + 1)),x)
A231407: 1 4 6
A190499: 1 4 6 11 16 18 21 23 28 30 33 35 40 42 45 47
(((((((loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),i) + 1),(x - 1),1) + x) div 2) + 1) + x) div 2) + 1) + x)
A139130: 1 3 5 7 9 12 14 17 19 22 24 28 30 33 36 38
(((((loop(\(x,i).(((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) + x),2,x) + 1) + x) div 2) + 1) - x)
A039637: 1 1 1 2 1 2 1 3 2 2 1 3 1 2 4 4
(((((loop(\(x,i).(x * 2),(x - 1),((if x <= 0 then 2 else (((((x + 2) + 2) + 1) * x) div 2)) - 1)) * (x + 1)) div 2) + 1) div 2) * x)
A058649: 0 1 18 132 680 2880 10752 36736 117504 357120 1041920 2939904 8067072 21618688 56770560 146472960
compr(\x.(1 - ((((((if x <= 0 then 1 else (x - (loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * 2) + 1)))) mod (x + 1)) * 2) + 1) - x) div 2)),x)
A292046: 1 3 6 7 11 12 13 14 16 17 18 19 20 21 22 23
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) - loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x))
A094053: 0 1 0 2 2 0 3 4 3 0 4 6 6 4 0 5
((if x <= 0 then 1 else ((x - ((x - ((loop(\(x,i).(((x * x) + 1) * x),1,((x * x) * (x * x))) * x) div 2)) div 2)) * x)) * (x * x))
A283027: 0 1 16456 10763361 1073758336 38147070625 705277897416 8308234084801 70368748374016 463255057977921 2500000025005000 11487432519490081 46221064831264896 166354152499741921 544488334821309256 1642102089568970625
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) + loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x))
A295181: 1 1 0 1 0 0 1 0 1 0 1 0 2 2 0 1
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 1) else 0)
A103516: 1 2 2 3 0 3 4 0 0 4 5 0 0 0 5 6
(1 - loop(\(x,i).((x * 2) - (2 - ((((((2 - ((x div (2 + 2)) mod 2)) * 2) * (x + 1)) div ((2 + 2) + 1)) + 1) mod 2))),x,0))
A118255: 1 2 4 9 18 37 74 149 299 599 1198 2397 4794 9589 19179 38359
((if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) else 0) + 1)
A131821: 1 2 2 3 1 3 4 1 1 4 5 1 1 1 5 6
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) * (2 + 1)) div 2) + (if x <= 0 then 0 else 1))
A132311: 0 1 1 1 1 1 1 2 2 1 1 4 7 4 1 1
((x mod (((x * 2) div (((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) mod (x + 1)) + 1)) + 1)) + 1)
A078834: 1 2 3 2 5 3 7 2 1 5 11 3 13 7 3 2
((x mod ((x mod ((x div ((if x <= 0 then 0 else ((((x div (((x * 2) mod (2 + 1)) + 1)) mod 2) - (x mod 2)) + 1)) + 2)) + 1)) + 1)) + 1)
A280696: 1 1 1 2 1 3 1 4 3 2 1 4 1 7 3 4
((if x <= 0 then 0 else (((((((x + 1) div (2 - ((((2 + 2) * 2) * 2) mod ((0 - x) - 1)))) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A328162: 1 2 2 3 2 2 2 4 3 2 2 2 2 2 2 5
(((x + 2) mod ((((((x + 1) div (if ((x + 1) mod ((2 + 2) + 1)) <= 0 then (2 + 2) else 1)) mod (2 + 1)) + 1) mod (x + 1)) + 1)) + 1)
A277427: 1 2 1 3 1 2 3 2 1 4 1 2 3 4 1 3
(if ((x + 1) mod (2 + 2)) <= 0 then 0 else ((x div ((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1)) + 1))
A336597: 1 1 3 0 5 3 7 0 3 5 11 0 13 7 3 0
((x + 1) mod (((x + 1) div (if (x mod ((((x div 2) div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 1) * (2 + 1))) <= 0 then 2 else 1)) + 1))
A182659: 0 2 3 1 5 6 7 8 9 4 11 12 13 14 15 16
loop(\(x,i).(x + 1),(((x div (((2 + 2) * 2) + 1)) - 1) - ((x div (1 - ((2 + 2) * 2))) - (x div (((2 + 1) * 2) + 1)))),1)
A029117: 1 1 1 1 1 1 1 2 3 4 4 4 4 4 5 6
loop(\(x,i).i,((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((x div 2) + 1) div 2) + 1)),1)
A157635-A075798: 1 1 1 1 2 1 1 6 6 1 1 12 16 12 1 1
((((loop(\(x,i).(x * 2),(((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((2 + 2) + 1)) + 1) div (2 + 1)) - 1)
A284002: 1 1 1 2 1 2 2 6 1 2 2 6 2 6 6 12
(((x + 1) div (((x mod (((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * (2 + 1))) + 1) * (2 + 1))) + 1)
A037226: 1 1 1 2 1 1 1 2 2 1 2 2 1 1 1 6
(((((((x div (((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) + 2) * 2) div (2 + 1)) + 1) mod (2 + 1)) - 1)
A129667: 1 ~1 ~1 ~1 ~1 1 ~1 0 ~1 1 ~1 1 ~1 1 1 0
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176639: 1 1 1 1 15 1 1 225 225 1 1 3375 50625 3375 1 1
loop(\(x,i).(((2 + 1) * x) + (x div (2 + 1))),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A172339: 1 1 1 1 3 1 1 10 10 1 1 33 110 33 1 1
loop(\(x,i).(((x div 2) + x) * ((x mod 2) + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A129439: 1 1 1 1 2 1 1 3 3 1 1 8 12 8 1 1
loop(\(x,i).((x - (x div ((2 + 2) + 1))) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A255256-A099594: 1 1 1 1 2 1 1 4 4 1 1 8 14 8 1 1
loop(\(x,i).((x div (2 + 2)) + ((x + 1) * 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A168287: 1 1 1 1 4 1 1 11 11 1 1 26 60 26 1 1
loop(\(x,i).(((x div ((2 + 2) + 1)) + x) + 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A296327: 1 1 1 1 3 1 1 5 5 1 1 8 11 8 1 1
loop(\(x,i).((((x mod (2 + 1)) div 2) + x) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A223257-A155864-A145903: 1 1 1 1 2 1 1 6 6 1 1 12 24 12 1 1
loop(\(x,i).((x div ((2 + 2) + 1)) + (x * 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A331406: 1 1 1 1 2 1 1 4 4 1 1 8 17 8 1 1
loop(\(x,i).(((x mod ((2 + 2) + 1)) + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A173881: 1 1 1 1 2 1 1 6 6 1 1 12 36 12 1 1
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A156581: 1 1 1 1 17 1 1 289 289 1 1 4913 83521 4913 1 1
loop(\(x,i).(((((x div 2) + 1) div 2) + 1) * i),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A173886-A139331-A090441: 1 1 1 1 1 1 1 2 2 1 1 6 12 6 1 1
(((((if x <= 0 then 1 else (x - ((x div ((((x mod (2 + 1)) - 1) * 2) - (2 + 1))) * 2))) - (x mod 2)) * (x + 1)) div (2 + 1)) + 1)
A265495: 1 2 7 6 14 29
((x + 2) - (((((((x - (if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 1)) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) - 1))
A309704: 3 4 5 4 5 6 7 7 8 8 9 10 10 10 11 11
((((if x <= 0 then 1 else (((((x mod ((x div (2 + 2)) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1)) + 1) * 2)) * 2) div (2 + 1)) + 1)
A329601: 1 2 2 3 2 2 2 5 3 2 2 6 2 2 2 7
((((x + 2) * x) mod ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1))) + 1)
A306671: 1 2 1 1 1 4 1 4 3 4 1 6 1 4 1 1
((((x * x) * x) mod ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1))) + 1)
A009191: 1 2 1 1 1 2 1 4 3 2 1 6 1 2 1 1
(((((if x <= 0 then 1 else (((((((x div 2) mod (2 + 2)) - x) div (2 + 2)) + (x * 2)) + (x * 2)) * 2)) + 2) * 2) div (2 + 1)) - 1)
A313258: 1 4 9 15 20 25 31 36 40 44 49 55 60 65 71 76
((((((if x <= 0 then 1 else (((x * 2) * (2 + 1)) - ((((x mod 2) + x) + 1) div ((2 + 2) + 1)))) + x) + 2) * 2) div (2 + 1)) - 1)
A314720: 1 5 9 13 18 23 27 32 37 41 45 50 55 59 63 68
((((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) - ((((1 - x) mod (2 + 1)) + x) div (2 + 2)))) + x) + 2) * 2) div (2 + 1)) - 1)
A315549: 1 6 11 17 23 29 35 41 47 53 59 64 70 76 81 87
(((((((if x <= 0 then 1 else ((((1 - x) - (x mod 2)) div (2 + 1)) + ((x * 2) * (2 + 1)))) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A313772: 1 5 10 15 21 25 31 35 41 46 51 56 61 66 71 77
(((((((if x <= 0 then 1 else ((((x - 1) mod ((x div 2) + 2)) div 2) + ((x * 2) * (2 + 1)))) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A314209: 1 5 11 17 22 27 32 37 43 49 54 59 65 71 76 81
(((((1 - (((((x * x) mod ((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) * (2 + 1))) + 1) div 2) div 2)) + x) + 2) mod (2 + 1)) + 1)
A082846: 1 2 3 1 2 3 1 2 2 3 1 3 1 2 2 3
(if x <= 0 then 0 else (x - (((x + 1) mod (((x div (((((x + 1) * x) mod ((2 + 2) * 2)) + 2) * (2 + 1))) + (x mod 2)) + 1)) - 1)))
A161658: 0 2 3 4 5 6 7 6 8 10 11 12 13 14 14 16
((if (x - 1) <= 0 then x else ((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + (x mod 2)) + 1)) + 1)
A320538-A093640: 1 2 2 3 2 4 2 4 2 4 2 6 2 4 3 5
(if x <= 0 then 1 else ((((compr(\x.(1 - ((x + 1) mod ((x div (((x div (2 + 2)) mod (2 + 1)) + 2)) + 1))),x) * 2) - 1) mod (x + 1)) - 1))
A179764: 1 0 1 0 1 0 1 2 3 4 3 2 1 0 1 2
((loop(\(x,i).(((x div 2) * i) + 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) * 2) - 1)
A022166: 1 1 1 1 3 1 1 7 7 1 1 15 35 15 1 1
(((if x <= 0 then 2 else (((((x mod ((x mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) + 1)) + 1) * 2) div (2 + 1)) + 1)) div 2) + 1)
A321944: 2 1 1 2 1 2 1 2 2 2 1 2 1 3 3 2
(((((x mod ((((x - (loop(\(x,i).(x div (2 - (x mod 2))),x,x) * 2)) mod (((2 + 1) * 2) + 1)) * 2) + 1)) div 2) + 1) div 2) + 1)
A275648: 1 1 1 2 2 1 1 1 3 3 1 2 4 1 1 2
((x mod ((((((((((if (x mod ((2 + 2) + 1)) <= 0 then 1 else 2) + (x mod (2 + 2))) * x) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) + 1)
A001438: 1 2 3 4 1 6 7 8
A076388: 1 2 3 4 1 6 7 8 3 10 1 12 5 2 15 16
((((x mod 2) + 2) + 1) div ((x div ((x div ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) + ((x mod (2 + 1)) div 2)) + 1)) + 2)) + 1))
A204999: 3 4 1 2 1 2 1 1 1 2 1 1 1 2 1 1
(loop(\(x,i).((x + 1) * x),1,(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2)) - 1)
A144403: ~1 ~1 ~1 ~1 1 ~1 ~1 5 5 ~1 ~1 11 29 11 ~1 ~1
((((((((loop(\(x,i).(x * x),1,(((x div ((2 + 2) + 1)) + x) + ((x div 2) + 1))) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A339094-A182086-A057537-A001313-A001312-A001302-A001301-A000008: 1 1 2 2 3 4 5 6 7 8 11 12 15 16 19 22
((((((((((loop(\(x,i).(((x * 2) * 2) * 2),(x + 1),1) mod (x + 1)) + x) div 2) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1)
A331854: 1 1 2 2 3 3 3 3 4 4 5 4 5 5 4 4
((((((((if (2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) <= 0 then 0 else ((x - 1) * x)) - 1) div 2) div 2) div 2) + 1) div 2) + 1)
A216645-A216635: 1 1 1 1 1 2 1 1 1 5 1 1 1 1 12 1
loop(\(x,i).i,(((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (((2 - ((x div 2) mod 2)) * 2) + 1)) + 2)),1)
A130523-A034363: 1 1 1 1 2 1 1 4 3 1 1 5 8 4 1 1
((((compr(\x.(((loop(\(x,i).(((x - i) * x) * ((2 + 2) + 1)),2,x) * x) + 1) mod (x + 1)),x) + 1) * ((2 + 2) + 1)) * 2) + 1)
A293659: 11 31 71 191 211
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1))
A071920: 0 0 0 0 1 0 0 2 1 0 0 3 4 1 0 0
((loop(\(x,i).(x * x),1,(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) - 1)) * 2) - 1)
A141597: 1 1 1 1 7 1 1 17 17 1 1 31 71 31 1 1
((loop(\(x,i).(((x * x) div 2) * x),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) div 2) + 1)
A196786: 1 1 1 1 1 1 1 3 3 1 1 7 17 7 1 1
(((((loop(\(x,i).(((x div (2 + 1)) + 2) * 2),(((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1),1) + x) div 2) + 1) div 2) + 1)
A063712: 1 2 2 3 4 3 4 5 5 4 5 6 6 6 5 6
(((((((((loop(\(x,i).((x div ((x mod 2) + 2)) + x),x,2) div (x + 2)) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) - 1)
A206557: 0 0 0 0 0 0 1 0 1 1 2 2 4 5 7 9
(2 div (((((loop(\(x,i).((x - (((i mod 2) * 2) - 1)) * 2),x,1) * ((((x mod 2) * 2) * 2) + 1)) + 1) mod (x + 1)) div 2) + 1))
A086137: 2 2 2 1 1 1 1 1 0 2 1 1 1 2 1 1
((loop(\(x,i).(((2 + 2) + 1) * x),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1) + 1) div (((x + 1) div 2) + 1))
A180997: 2 1 1 0 2 0 0 1 1 0 0 0 3 0 0 0
((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * (((if x <= 0 then 0 else 2) * 2) + 1))
A135089: 1 5 5 5 10 5 5 15 15 5 5 20 30 20 5 5
(x - ((((x - ((((((loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1) * x) div 2) + 1) mod ((2 + 2) + 1)) - 1)) div 2) * 2) - 1))
A105969: 1 2 3 2 1 2 3 4 5 2 1 2 1 2 3 2
(((((((((if x <= 0 then 2 else ((((x + 2) + 1) mod ((x div (2 + 2)) + 1)) + 1)) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) - 1)
A029358: 1 0 0 0 1 0 1 0 1 0 1 1 3 0 1 1
(((((((((((loop(\(x,i).((x div ((x mod 2) + 2)) + x),x,2) div 2) div 2) + 1) div 2) * 2) * (x + 1)) div 2) + 1) div 2) div 2) + 1)
A096445: 1 1 2 2 2 4 4
A010238: 1 1 2 2 2 4 4 7 12 18
(((((((((((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) div 2) + 1)
A318810: 1 1 1 1 1 1 1 2 2 1 1 3 1 1 2 6
(((((((if (x mod 2) <= 0 then x else 0) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (2 + 1)) div 2) * 2) - 1)
A144432: ~1 ~1 ~1 ~1 ~1 ~1 ~1 1 1 ~1 ~1 5 1 5 ~1 ~1
(((((((((((if (x mod 2) <= 0 then 2 else 0) + (x div 2)) * ((x div 2) + 1)) div 2) + 2) div (2 + 1)) + 2) * (2 + 1)) div 2) div 2) - 1)
A029142: 1 0 1 1 2 1 3 2 4 3 5 4 8 5 9 8
(x - ((if x <= 0 then 2 else (x - (((((x div 2) - 1) div 2) - ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) div 2))) + 1))
A140056: ~3 ~2 ~1 ~1 ~2 ~1 ~1 ~1 ~1 ~1 0 ~1 ~1 ~1 0 0
((((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * (if x <= 0 then 1 else 2)) * 2) - 1)
A135087: 1 3 3 3 7 3 3 11 11 3 3 15 23 15 3 3
(((((loop(\(x,i).(((x div ((2 + 2) + 1)) + 1) * x),1,((((2 + 2) * (2 + 1)) + 1) * (x + 1))) div 2) div 2) div 2) div 2) + 1)
A338631: 3 10 20 36 57 79
((((((compr(\x.(1 - (x mod ((if (x mod ((2 + 2) * 2)) <= 0 then 2 else 1) + 1))),x) + 2) * ((2 + 2) + 1)) mod (x + 2)) div 2) div 2) + 1)
A072811-A048996: 1 1 1 1 1 2 1 1 2 1 3 1 1 2 2 3
((((((((((x + 2) * (x + 1)) div 2) + loop(\(x,i).(x * 2),x,1)) * ((x mod 2) + 2)) + 1) * 2) div (2 + 1)) + 1) div (2 + 1))
A260818: 1 3 5 12 14 35 41
((((loop(\(x,i).(x * 2),x,1) mod (((((x * 2) * 2) mod (((2 + 2) * (2 + 1)) + 1)) * (2 + 1)) + 1)) * 2) + 1) mod (2 + 1))
A194305: 1 2 0 2 1 0 1 2 1 0 1 1 2 1 0 1
((((if x <= 0 then 1 else ((((x * 2) * 2) - (((((x div (2 + 1)) + x) mod (2 + 1)) + x) div (2 + 1))) * 2)) * 2) + 1) div (2 + 1))
A315033: 1 5 9 15 19 25 29 35 39 44 49 53 59 63 69 73
((((if x <= 0 then 1 else (((x * 2) * (2 + 1)) - (((2 - x) * 2) div ((((x div 2) div (2 + 1)) + 2) + 2)))) * 2) + 1) div (2 + 1))
A058759: 1 4 8 13
A311809: 1 4 8 13 17 21 25 29 34 38 43 47 51 55 59 63
((((if x <= 0 then 1 else (((((((x div (2 + 1)) mod (2 + 1)) + (x * 2)) div (2 + 1)) + x) + (x * 2)) * 2)) * 2) + 1) div (2 + 1))
A313241: 1 4 9 15 20 24 29 35 40 44 48 53 59 64 68 73
(((((((((loop(\(x,i).(x * 2),(x - 1),x) div (x + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) * ((x * 2) + 1)) mod (2 + 1))
A256852: 1 0 1 0 0 0 2 0 0 0 0 1 1 0 0 0
(((((loop(\(x,i).((x * x) * x),1,(((((2 + 2) + 1) * x) + 1) * 2)) div (x + 1)) * 2) - 1) * ((x * 2) + 1)) mod (2 + 1))
A023555: 0 0 1 0 0 2 0 0 1 2 0 0 2 0 2 0
(((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - (((((x div 2) mod 2) + x) div 2) * 2)) div (2 + 1))) + (((x * 2) + 1) div (2 + 1)))
A313726: 1 5 10 15 20 24 30 36 40 45 50 55 60 65 70 75
(if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then 1 else (((2 - ((x div 2) mod 2)) * ((x div 2) + 1)) div (2 + 1)))
A047150-A047140: 1 1 1 1 2 1 1 1 3 1 1 2 4 4 1 1
loop(\(x,i).((((x * x) + 1) * (2 + 1)) div 2),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A108470: 1 1 1 1 3 1 1 7 7 1 1 15 25 15 1 1
(((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((((((x div 2) mod 2) + x) div 2) * 2) + 1) div (2 + 1))) + ((x + 1) div (2 + 1)))
A313744: 1 5 10 15 20 26 30 34 40 45 50 55 60 65 70 75
(((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((((x div 2) div (2 + 1)) mod 2) + x) * 2) div (2 + 1))) - ((x + 1) div (2 + 1)))
A315271: 1 6 10 15 21 25 30 35 39 45 50 54 60 66 70 75
(((if x <= 0 then 1 else ((((((x div 2) div (2 + 1)) mod 2) - x) * 2) div (2 + 1))) + ((x * 2) * (2 + 1))) - ((x + 1) div (2 + 1)))
A315053: 1 5 9 15 20 24 30 36 40 45 51 55 60 65 69 75
(((if x <= 0 then 1 else ((x * 2) * 2)) - ((1 - ((((((x div 2) mod 2) + x) div 2) * 2) + x)) div (2 + 1))) + ((x + 1) div (2 + 1)))
A310457: 1 4 10 15 20 25 30 35 40 45 50 56 60 64 70 75
((((((x div ((loop(\(x,i).(x * 2),(((((x div 2) + 1) div 2) div 2) + 1),2) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1))
A124764: 0 0 0 1 0 0 1 2 0 0 1 1 1 1 2 3
(((((((if (x mod (2 + 2)) <= 0 then (x * 2) else (x div 2)) + 1) * ((((x mod 2) * 2) * 2) + 1)) + 1) div (2 + 1)) + 2) div (2 + 1))
A317988: 0 1 1 1 1 2 1 3 2 3 1 4 3 4 1 5
((((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 2),(x + 1)) * (x + 2)) * ((x + 2) + 1)) div 2) div (2 + 1))
A030060: 5 56 420 2640 15015 80080 408408 2015520 9699690 45762640 212469400 973496160 4411154475 19800295200 88158457200 389753179200
(((compr(\x.(2 - (loop(\(x,i).((((2 - x) mod (2 + 2)) + 1) * (x + 1)),x,((2 + 2) + 1)) mod (x + 1))),x) + 1) * 2) - (2 + 1))
A217460: 7 9 15 17 21 23 25 27 31 33 35 39 41 43 45 47
(((((((((loop(\(x,i).(((x + 2) * 2) + x),x,(x + 2)) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) * 2) * 2) div (2 + 1))
A292482: 2 9 32 112 384 1296 4320 14256 46656 151632 489888 1574640 5038848 16061328 51018336 161558064
(((((((loop(\(x,i).(x - ((x div ((x mod (0 - 2)) - 2)) * (2 + 1))),x,1) + 2) div 2) + 2) div (2 + 1)) + 2) * 2) mod (2 + 1))
A287320: 0 0 2 2 1 0 0 0 2 2 1 0 2 2 1 0
((((compr(\x.((x + 1) mod ((x mod ((loop(\(x,i).((x * x) * x),2,(x * 2)) mod (x + 1)) + 2)) + 1)),x) + 1) * 2) * 2) div (2 + 1))
A184967: 1 2 4 5 6 8 9 10 12 13 16 20 21 22 24 25
(if x <= 0 then 1 else (1 - ((((((((x mod (((((x mod 2) * 2) + 1) * 2) * 2)) + 1) * 2) - 1) mod (x + 1)) + 2) * 2) mod (2 + 1))))
A253414: 1 1 ~1 0 1 ~1 ~1 1 1 0 ~1 ~1 1 0 ~1 1
((x * 2) - (1 - ((((if x <= 0 then 1 else (((x * 2) - (((2 - x) + 1) div (((2 + 1) * 2) + 1))) * 2)) + 2) * 2) div (2 + 1))))
A314954: 1 5 9 14 20 25 29 34 39 43 48 54 59 63 68 73
((((((((if (((x div 2) + 1) mod ((2 + 1) * 2)) <= 0 then 2 else 0) + ((x + 1) * 2)) * 2) div (2 + 1)) + 1) + x) * 2) div (2 + 1))
A213733: 1 2 4 6 7 9 10 12 14 15 18 19 20 21 23 24
(((((if x <= 0 then 1 else (((((x * 2) + 1) div (((2 + 2) * 2) + 1)) + ((x * 2) * (2 + 1))) * 2)) + x) + x) + 2) div (2 + 1))
A313611: 1 5 10 14 20 24 29 34 38 44 48 53 58 63 68 72
((((loop(\(x,i).(((x + 1) * x) div 2),1,((x mod ((x mod ((((x mod 2) * 2) + 1) * 2)) + 1)) + 1)) mod (x + 1)) + x) div 2) + 1)
A300271: 1 2 2 3 3 5 4 6 5 7 6 11 7 9 8 13
(loop(\(x,i).(i * x),((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)),1) mod ((x + 2) + 1))
A298589: 1 1 1 1 1 1 1 1 1 1 1 2 9 2 1 1
loop(\(x,i).(x * 2),(((x * 2) - ((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2))) + (x * 2)),1)
A120785: 1 16 128 4096 32768 524288 4194304 268435456 2147483648 34359738368 274877906944 8796093022208 70368744177664 1125899906842624 9007199254740992 1152921504606846976
(compr(\x.((x mod ((((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) mod (x + 1)) + 1)) - 1),x) + 1)
A334965-A166401-A133811: 1 2 3 4 5 7 8 9 11 13 16 17 18 19 23 25
loop(\(x,i).((((((((((x + 1) div ((2 - (x mod 2)) + 1)) * 2) + 1) * (x + 1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1),x,1)
A307140: 1 3 5 11 36 207
(compr(\x.(1 - (x mod ((((((2 + 2) * (x - 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) mod (2 + 1)) + 1))),x) + 1)
A263636: 4 6 16 20 24 28 36 44 52 60 64 68 76 80 84 92
(compr(\x.((((x mod ((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1) mod (x + 1)) - 1),x) + 1)
A180934: 1 2 3 5 7 9 11 13 17 19 23 25 28 29 31 37
loop(\(x,i).((((((((x div 2) mod ((((x mod 2) * 2) * (2 + 1)) + 1)) + 1) * (2 + 1)) - 1) * (2 + 1)) div 2) * (2 + 1)),x,1)
A181403: 1 9 63 48
(compr(\x.((x - loop(\(x,i).(((2 + 1) * x) + 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1)) mod (x + 1)),x) + 1)
A294455: 1 2 3 6 18 27 54 81 162
(compr(\x.(loop(\(x,i).(((((((((2 + 2) * 2) * 2) + x) * (x + 1)) * (2 + 1)) - 1) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A018714: 1 2 3 6 151 302 453 906
loop(\(x,i).((x div ((x mod ((x div (((((x * 2) mod ((x mod (2 + 2)) + 1)) div 2) + (x mod 2)) + 1)) + 1)) + 2)) + 1),1,(x + 1))
A329312: 1 1 2 1 2 1 3 1 2 2 3 1 2 1 4 1
compr(\x.((((x mod (((if (x mod ((2 + 2) * (2 + 1))) <= 0 then (x div 2) else 0) + 2) * ((2 + 2) + 1))) + 1) mod (x + 1)) - 1),(x + 1))
A342650-A342262-A328273: 1 2 3 4 5 6 7 8 9 10 12 20 24 30 36 40
(((((2 - (x - ((if (x - 2) <= 0 then 1 else ((x + 2) div ((2 + 2) + 1))) mod 2))) mod ((x div (2 + 1)) + 1)) * 2) + 1) mod (x + 1))
A329984: 0 1 1 1 3 1 1 5 1 3 1 7 1 1 9 1
(loop(\(x,i).(((((((((i * 2) + 1) * x) * 2) div (i + 2)) * ((i * 2) - 1)) div (i + 1)) * 2) * (2 + 2)),x,1) * (x + 1))
A254633: 1 16 480 17920 752640 34062336 1623638016 80408739840 4100845731840 214072431738880 11388653368508416 615465127495335936 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(((((((i * 2) + 1) * x) * 2) div (i + 2)) div (i + 1)) * (((i * 2) + 1) * 2)),(x + 1),1) div 2) * (x + 1))
A337902: 3 50 735 10584 152460 2208492 32207175 472780880 6982113996 103673813880 1546866469148 23179817220000 348690679038000 5263441096145400 79698007774092375 1210159553338375200
(((x - ((((loop(\(x,i).(x * 2),x,1) mod ((((x mod (2 + 2)) * 2) * 2) + 1)) mod (2 + 1)) - 1) - (x mod 2))) * 2) + (x + 1))
A287458: 3 4 7 10 15 16 19 22 27 28 31 36 39 40 43 46
(1 - (((x mod (((((x + 1) mod ((((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1)) + 1)) + 1) mod (x + 1)) + 1)) + 1) div 2))
A111412: 1 0 0 0 0 0 1 ~1 0 0 1 ~1 1 0 ~1 0
((((loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x + 2),(x + 1)) * (x + 2)) div (((x + 2) + 2) + 1)) + 1) div 2)
A003516: 1 7 36 165 715 3003 12376 50388 203490 817190 3268760 13037895 51895935 206253075 818809200 3247943160
(((loop(\(x,i).((2 + 1) * x),((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1),1) div (2 + 1)) + 1) div 2)
A069739-A066060: 1 1 1 2 1 1 1 5 2 1 1 2 1 1 1 14
((((((x div ((loop(\(x,i).(((x + 1) * x) + 2),2,((2 + 2) * (2 + 1))) mod (x + 1)) + 1)) + 2) * 2) div (2 + 1)) + 1) div 2)
A143258: 1 1 1 2 1 1 2 1 1 1 4 1 1 1 1 2
((compr(\x.(loop(\(x,i).((2 - ((x * x) - 1)) * (x * x)),(2 + 1),2) mod (x + 1)),x) + 1) * ((((2 + 2) * (2 + 1)) + 1) * 2))
A288162: 26 52 104 208 338 416 676 832 1352 1664 2704 3328 4394 5408 6656 8788
(((compr(\x.(loop(\(x,i).((i + x) * (x + 1)),(2 + 2),((2 + 2) + 1)) mod (x + 1)),x) + 1) * (((2 + 2) * (2 + 1)) - 1)) * 2)
A033848: 22 44 88 176 242 352 484 704 968 1408 1936 2662 2816 3872 5324 5632
(((((((((((((loop(\(x,i).(x * 2),x,1) + x) div (x + 1)) + x) div 2) + x) div 2) + x) + 2) div (2 + 1)) + 1) div 2) + 1) * 2)
A033825: 2 4 4 4 6 6 8 8 10 12 16 24
(((((((loop(\(x,i).(x * 2),x,2) div (((((((x mod 2) * 2) * 2) + 1) * 2) * (2 + 1)) + 1)) + 1) div 2) + 1) div 2) + 1) div 2)
A316193: 0 0 1 0 1 1 3 1 10 5
(((((((((1 - loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x)) mod (x + 1)) * (2 + 1)) div 2) div 2) + 1) div 2) + 1) div 2)
A301572: 0 0 0 1 0 0 1 1 0 0 0 1 2 3 2 1
(((((((((((((if (x mod 2) <= 0 then x else 0) * ((x div 2) + 1)) div 2) + 1) + x) div 2) + 1) + (x mod 2)) div 2) + 1) div 2) + 1) div 2)
A326850: 0 1 1 1 1 1 2 1 2 1 3 1 4 1 5 2
(loop(\(x,i).(x * x),1,((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) - 1)) div 2)
A282593: 0 0 0 0 0 0 0 4 4 0 0 12 84 12 0 0
(((((((loop(\(x,i).(((x * 2) * 2) * 2),x,(((((2 + 2) * 2) * 2) * (2 + 1)) + 1)) div 2) div 2) div 2) div 2) div 2) + 1) div 2)
A055847: 1 6 49 392 3136 25088 200704 1605632 12845056 102760448 822083584 6576668672 52613349376 420906795008 3367254360064 26938034880512
((2 + 2) - ((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2))
A276789: 4 3 4 2 4 3 4 4 3 4 2 4 3 4 3 4
(((((loop(\(x,i).((((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2) + x) + 1),x,1) div 2) div 2) + 1) * (2 + 1)) - 2)
A244481: 1 1 1 4 4 4 7 7 7 10 10 13 16 19 19 19
(((((((((x * x) * (x * x)) mod (((((2 + 2) * 2) * 2) * 2) - 1)) mod 2) + (if x <= 0 then 0 else 1)) * 2) + x) div (2 + 1)) + 2)
A177876: 2 3 3 4
A341053: 2 3 3 4 4 5 5 5 5 5 6 7 6 7 8 7
(1 - ((x + 1) div (((loop(\(x,i).((x - 1) * 2),(((x div (2 + 1)) mod 2) + 1),((x div (2 + 2)) + 1)) - 1) mod (x + 1)) + 2)))
A016353: 1 1 1 0 0 ~1 ~1 ~1 0 0 0 0 0 ~1 ~1 0
(1 - ((((((((x mod ((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) * 2) mod (x + 1)) div 2))
A226350: 1 1 0 0 ~1 0 0 0 0 ~2 0 0 ~1 ~1 0 0
(((((((((loop(\(x,i).(x * x),1,(((x div 2) + x) + (2 + 2))) div 2) div 2) + 1) div 2) * 2) + 1) - (x mod 2)) mod (x + 1)) div 2)
A238211: 0 0 0 0 1 0 0 1 1 1 1 2 3 3 3 5
((x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + (if x <= 0 then 1 else 2))
A335549-A335516-A326082-A319686-A181796-A088873-A085082: 1 2 2 3 2 3 2 4 3 3 2 5 2 3 3 5
(((((((((x + 1) mod (((((x + 1) div 2) div (2 + 1)) + 2) + (if x <= 0 then 0 else 1))) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A060778: 1 2 1 1 2 2 2 1 1 2 2 2 2 4 1 1
(((x + 1) - ((((((((((loop(\(x,i).((x div 2) + x),x,2) div (x + 1)) + x) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) + 2)
A175266: 1 2 3 2 3 4 5 6 7 8 9 8 9 10 9 8
(((loop(\(x,i).(i div (2 + 1)),((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)),1) * ((2 + 2) + 1)) div 2) div 2)
A296068-A144064: 1 1 0 1 1 0 1 2 2 0 1 3 5 3 0 1
((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + (2 + 2)) * 2) div (2 + 1)) + x) + 2) * (2 + 1)) div 2) div 2)
A071259: 3 4 6 8 10 12 15 17 19 23 25 29 31 33 36 39
((((((loop(\(x,i).((i + 2) * x),((((2 + 2) * 2) * 2) * (x + 1)),1) div 2) div 2) div 2) + 1) div 2) div (((2 + 2) * 2) * 2))
A172719-A172615: 12504636144000 4611686018427387903 4611686018427387903 4611686018427387903
(((((((if (x - 1) <= 0 then 1 else ((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2))) + 2) + 1) + x) div 2) + 2) * 2)
A166082: 8 8 8 8 12 12 12 12 16 16 18 18 20 20 20 20
(if x <= 0 then 1 else (((((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) div 2) div 2) + x) + (2 + 2)))
A022954: 1 8 13 19 26 35 45 56 68 82 97 113 130 148 168 189
loop(\(x,i).(((x + 1) div 2) * x),1,(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)))
A168641: 1 1 1 1 2 1 1 6 6 1 1 8 18 8 1 1
((loop(\(x,i).(i * x),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1),1) div (x + 2)) * 2)
A230513: 0 0 0 0 0 0 0 0 0 0 0 2 16 2 0 0
(((((loop(\(x,i).(x * x),2,(((2 + 1) * x) + 2)) div 2) + 1) + (((((2 + 2) + 1) * x) * 2) + 1)) * 2) * ((x * 2) * 2))
A326747: 0 2592 33120
(((if x <= 0 then 1 else ((((((((((x div (2 + 2)) * (2 + 1)) div 2) * (x div 2)) + 1) div 2) + 1) div 2) + 1) * 2)) - (x mod 2)) div 2)
A088931: 0 0 1 0 2 1 2 1 4 3 5 4 7 6 8 7
(((((((((((loop(\(x,i).(x * x),1,(((x * x) div (2 + 1)) + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2) div 2) + 1) + x) div 2)
A098492: 0 1 1 2 2 3 4 6 8 11 14 19 25 32 41 53
((((((((if x <= 0 then 1 else ((x - (((x div 2) - 1) div (2 + 1))) * 2)) * 2) + 1) div (2 + 1)) * ((2 + 2) + 1)) div 2) + x) div 2)
A011982: 1 4 4 6 8 11 13 14 15
(((((((((if x <= 0 then 1 else (((x - ((x div 2) mod ((2 + 2) + 1))) div 2) + 2)) * 2) + x) div (2 + 1)) + 2) + 2) + 2) + x) + 2)
A033872: 8 10 12 14 15 16 18 20 21 22 26 27 28 30 32 33
(if (x * x) <= 0 then 1 else (((((((((x - ((((1 - x) * x) div 2) div (2 + 1))) * (x + 1)) div 2) + 1) div 2) + x) div 2) + x) div 2))
A062438: 1 1 2 3 5 7 9 12 16 20 24 30 36 44 52 61
(x - ((loop(\(x,i).(1 - (((((((x + 2) * (x + 2)) div 2) - (x mod 2)) + 1) * (x + 2)) div (2 + 1))),1,(x + 2)) + x) + 2))
A097478: 9 17 35 53 85 117
(((((((((if x <= 0 then 1 else (((x * 2) - ((x div 2) mod 2)) * 2)) * 2) + 1) div (2 + 1)) + 2) * 2) div (2 + 1)) - 1) + (x * 2))
A310737: 1 4 7 11 15 19 22 25 30 34 37 41 45 49 52 56
(((((if x <= 0 then 1 else (((x * 2) - ((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1))) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315416: 1 6 11 15 20 26 31 35 40 46 52 57 61 66 72 77
(((((if x <= 0 then 1 else ((((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315068: 1 5 9 15 20 26 31 37 41 46 51 55 61 66 72 77
(((((if x <= 0 then 1 else (((x div ((((x div 2) div ((2 + 2) + 1)) + 2) + 2)) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A314955: 1 5 9 14 20 25 29 34 40 45 49 54 59 63 68 74
(((((if x <= 0 then 1 else ((((((1 - (x div 2)) mod (2 + 2)) + x) div (2 + 2)) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A314969: 1 5 9 14 20 26 31 35 40 45 49 54 60 66 71 75
((((((((((loop(\(x,i).((x * 2) * 2),(x div 2),2) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2))
A026100: 1 2 1 3 1 2 1 4 3 2 1 4 1 2 3 5
(if (x - 1) <= 0 then 1 else ((((x mod (x - ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1))) div 2) + 1) + (x mod 2)))
A303757: 1 1 1 2 1 3 1 2 2 3 1 4 1 3 1 2
(((x div (((x + 1) div ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) * 2) + 1)) + 2)) + 1) - (x mod 2))
A068322: 1 0 1 1 1 1 1 2 2 2 1 3 1 3 3 5
loop(\(x,i).(((((x * x) * x) mod (((((((x mod 2) * 2) * 2) + 1) * 2) * (2 + 1)) + 1)) + (2 + 1)) * 2),(x div 2),(x mod 2))
A093479: 0 1 6 8 18 8 8 8 8 8 8 8 8 8 8 8
(((((((((((loop(\(x,i).((2 + 1) * x),(((x * x) + 2) * x),1) div 2) + 1) * x) div 2) + 1) div 2) * 2) + 1) + x) + x) + 2)
A092830: 3 13 265729
((((((((((((if (((x div 2) - 2) - 2) <= 0 then 1 else x) * x) div (2 + 1)) div 2) + 1) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A136040: 1 2 3 4 5 6 7 8 9 10 14 16 17 19 21 22
(((((((if x <= 0 then 1 else (((x * 2) * (2 + 1)) - (((x - 1) mod ((x div 2) + 2)) div 2))) + x) + 2) * 2) div (2 + 1)) - 1) + x)
A315496: 1 6 11 16 22 28 34 40 45 50 56 62 67 72 78 84
compr(\x.(1 - (x mod ((loop(\(x,i).(x * 2),x,((((2 + 1) * x) mod (((x mod ((2 + 1) * 2)) + 1) * 2)) + 1)) mod (x + 1)) + 1))),x)
A294675: 5 8 11 13 14 16 17 19 21 22 23 24 25 26 27 28
(((((((((((loop(\(x,i).((i * x) * 2),(x - 1),1) div (2 + 1)) + 1) div (2 + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) + x)
A191783: 1 2 3 5 6 12 61
((((((x * x) * x) * (x * x)) * (x * x)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + ((((2 + 1) * 2) + 1) * x))
A220528: 1 15 191 2551 18813 94967 397627 1647135 7862009 45136639 292475319 1996813991 13877119093 96951759015 678328486451 4747732369423
((if (x - ((2 + 2) * (2 + 1))) <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) + x)
A102450: 1 2 3 4 5 6 7 8 9 10 11 12 13 16 14 15
((((((((((((if ((x div (2 + 2)) - 2) <= 0 then 0 else 2) * 2) * 2) + x) * (2 + 1)) div 2) + 2) div 2) * 2) * 2) div (2 + 1)) + x)
A308496: 1 2 4 7 9 10 12 15 17 18 20 23 33 34 36 39
(((((if x <= 0 then 0 else ((((((((((x mod ((x div 2) + 1)) div 2) + x) div 2) + x) + 2) + 2) + 2) - x) + 1)) + x) + 2) + 2) + x)
A022416: 4 13 16 18 21 24 26 29 31 34 37 39 42 45 47 50
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((x + 1) div 2) div 2) * (x div ((2 + 2) + 1))) + 1)) + 1)
A328887: 1 1 1 1 2 1 1 4 4 1 1 8 15 8 1 1
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((2 - ((x div 2) mod 2)) * (x div ((2 + 2) + 1))) + 1)) + 1)
A256161: 1 1 1 1 2 1 1 3 4 1 1 4 11 6 1 1
(((((x div (2 + 2)) * 2) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1)
A309939-A309931-A164306-A111603: 1 1 1 1 2 1 1 1 3 1 1 2 3 4 1 1
((2 div ((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) mod (((2 + 1) * 2) + 1)) + 1) div 2) + 1)) - 1)
A294254: 1 1 0 1 ~1 0 1 ~1 1 0 1 ~1 ~1 ~1 0 1
(((x + 1) div ((((((((x div ((x div ((((x div 2) * x) mod 2) + 2)) + 2)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1)) - 1)
A063276: ~1 0 0 0 0 1 1 1 2 2 2 1 3 3 4 2
((((((((x * 2) - ((1 - x) div ((x div (2 + 2)) + 2))) + 1) * 2) div (2 + 1)) + (2 + 1)) mod (((2 + 2) * 2) + 1)) + 1)
A308375: 4 6 8 9 1 3 5 6 7 9 2 3 4 6 7 8
((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div (2 + 1)) - (x mod (2 - ((x div 2) mod 2)))) + 1)) + 1)
A026670: 1 1 1 1 3 1 1 4 4 1 1 5 11 5 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((2 + 2) + 1)) + 1) div (2 + 1)) + 1)
A238498-A136482-A026648-A026626: 1 1 1 1 3 1 1 4 4 1 1 6 8 6 1 1
((((x + 1) div ((x mod ((x div (((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 2)) + 1)) div (2 + 1)) + 1)
A316789: 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 6
compr(\x.((x mod ((x mod (2 + 2)) + 1)) - 1),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A173740: 1 1 1 1 4 1 1 5 5 1 1 6 8 6 1 1
compr(\x.(x mod (((x div (2 + 2)) * 2) + 1)),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A215292: 1 1 1 1 2 1 1 3 3 1 1 6 10 6 1 1
compr(\x.((x mod (2 + 2)) * (x div (2 + 1))),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A154867-A100631-A064298: 1 1 1 1 2 1 1 4 4 1 1 8 12 8 1 1
((((((((((1 - ((x * 2) mod (((2 + 2) * 2) + 1))) mod (x + 1)) + 1) div (2 + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A168258: 1 1 1 2 2 1 2 2 2 1 3 3 3 2 1 3
((((((x mod ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod (x + 1)) + 1)) div 2) + 1) * 2) div (2 + 1)) + 1)
A160182: 1 1 1 2 1 1 3 1 1 1 5 2 1 1 1 6
((((x * 2) * (2 + 1)) + 1) div (((((((((2 + 1) * x) div ((x div (2 + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A027440: 1 3 4 6 8 10 12
A334905: 1 3 4 6 8 10 12 14 16 18 20 22 24 26 21 30
((((((((((1 - ((1 - x) div (((x div 2) div (2 + 1)) + 2))) * (x + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A157524: 1 1 2 2 3 3 3 3 5 5 5 7 6 6 7 8
(((((((((((((x * 2) + 1) * x) + 1) div (((2 + 1) * 2) + 1)) + 1) * 2) div (2 + 1)) + x) + 1) * 2) div (2 + 1)) + 1)
A129895: 1 2 3 5 7 9 11 13 15 18 21 25 29 33 37 41
(1 - ((x + 1) mod ((0 - (((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * (x + 1))) - 1)))
A174545: 1 1 1 1 2 1 1 2 2 1 1 2 28 2 1 1
((((x mod (((x + 1) div (((((x mod (((2 - (x div 2)) mod ((2 + 1) * 2)) + 1)) + 1) div 2) + 1) * 2)) + 1)) + 1) div 2) + 1)
A271778: 1 1 1 2 2 2 2 2 1 2 2 2 4 2 4 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((((x + 1) div 2) div 2) + 1) * 2) + 1)) + 1) div 2) + 1)
A173118-A028275: 1 1 1 1 4 1 1 5 5 1 1 6 10 6 1 1
(((x + 1) * 2) - (((x - ((((x mod (((((2 + 2) * (2 + 1)) - 1) mod (x + 1)) + 1)) + 1) mod (x + 1)) - 1)) div 2) + 1))
A206285: 1 2 4 5 7 8 11 13 14 15 16 17 19 21 23 25
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div ((x mod ((2 + 2) + 1)) + 1)) + 2) + 1)) div 2) + 1)
A214987: 1 1 1 1 2 1 1 3 3 1 1 5 8 4 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((x div 2) + 1) div 2) + 1)) div 2) + 1)
A296157: 1 1 1 1 2 1 1 4 4 1 1 7 9 7 1 1
((((((((((((((x + 2) div (2 + 1)) * ((x - 1) div 2)) + 1) * (x + 1)) div 2) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A036847: 1 1 1 1 1 2 2 2 3 3 4 5 5 8 8 10
((((((((x div ((x mod ((x mod ((x div ((2 - (x mod 2)) + 1)) + 2)) + 1)) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1)
A139169: 1 1 2 3 3 2 4 3 4 3 5 3 6 4 3 4
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((((x div 2) + 1) div 2) * 2) * 2) * 2) + 1)) div 2) + 1)
A157169: 1 1 1 1 5 1 1 9 9 1 1 13 26 13 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 2) + 1)
A204002: 3 4 4 5 6 5 6 7 7 6 7 8 9 8 7 8
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) div (2 - ((x div 2) mod 2))) * 2) + 1)) div 2) + 1)
A257365-A177976-A161492-A060098-A034781: 1 1 1 1 2 1 1 4 3 1 1 6 8 4 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x + 2) mod (2 + 2)) + 1)) div 2) + 1)
A244911: 1 1 1 1 2 1 1 3 4 1 1 4 7 7 1 1
(((((((x - 1) mod ((x mod ((x mod (2 - ((x div (2 + 2)) div (0 - 2)))) + 1)) + 2)) div 2) + 1) * ((2 + 2) + 1)) div 2) - 1)
A193349: 1 1 1 4 1 1 1 1 4 1 1 4 1 1 1 6
(((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) * 2) div (2 + 1)) * 2) + 1)
A132737: 1 1 1 1 5 1 1 7 7 1 1 9 13 9 1 1
(((((((((((((x * 2) + 1) * 2) * 2) + x) * (x + 2)) * (x + 1)) div 2) * ((x + 2) + 1)) div 2) div (2 + 1)) div 2) - 1)
A088941: 0 12 54 154 349 685 1217 2009 3134 4674 6720 9372 12739 16939 22099 28355
(((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) * 2) + 1) mod (((2 + 1) * 2) + 1))
A211314: 1 1 1 1 3 1 1 5 5 1 1 0 6 0 1 1
((((x - (((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 2) div 2) * 2) - 2)) * 2) + 1) div (((2 + 1) * 2) + 1))
A342859: 0 1 1 2 1 2 3 2 2 3 4 3 3 3 4 5
((x * 2) - ((((x * 2) - ((((((((x - (x div (0 - 2))) * (x div 2)) + 1) + (x mod 2)) + x) * 2) - x) - 1)) * 2) + 1))
A272705: 1 5 13 25 49 69 109 137 193 229 301 345 433 485 589 649
(((((((((((((x - (x div ((2 + 2) * 2))) mod 2) * 2) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) * 2) + 1)
A109599: 1 1 1 3 1 3 1 3 3 3 5 3 5 3 5 3
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((2 + 2) * 2) + 1)) div 2) div 2) + 1)
A134398-A026681-A026615: 1 1 1 1 3 1 1 5 5 1 1 7 10 7 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x div 2) + 2) + 1)) div 2) div 2) + 1)
A295213-A113582: 1 1 1 1 2 1 1 4 4 1 1 7 10 7 1 1
((((((((((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * 2) + ((x + 1) * x)) div 2) + 1) + 2) * (2 + 1)) div 2) * 2) - 1)
A268428: 149 151 157 167 179 193 211 233 257 283 313 347 383 421 463 509
(x div ((((((((x + 1) mod (((((x div ((2 + 2) + 1)) * (2 + 1)) div 2) * 2) + 1)) * 2) + 1) mod (x + 1)) + 2) * 2) - 1))
A309784: 0 0 0 0 0 1 0 0 1 1 0 0 4 2 1 0
(((((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) * 2) * 2) - 1)
A186302: 3 11 15 23 35 39 51 63 75 83 95 99 111 119 131 135
((((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) * (((x + 1) * 2) + 1)) mod (2 + 2)) + 1)
A329382: 1 1 1 2 1 2 1 3 4 2 1 3 1 2 4 4
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1))
A037872-A037854: 0 0 0 1 0 0 0 2 1 0 0 3 2 1 0 1
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div ((2 + 2) + 1)) * (2 + 1)) div 2) mod (2 + 2)) + 1)
A123566: 1 1 1 1 1 1 1 2 2 1 1 4 3 4 1 1
(((((((((x mod ((((x + 2) mod ((2 + 2) + 1)) * (2 + 1)) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1) mod (2 + 1))
A285194: 1 2 2 1 1 0 1 1 1 2 0 2 0 1 2 2
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) + 1) * ((2 + 2) + 1)) div (2 + 1))
A026703: 1 1 1 1 3 1 1 5 5 1 1 6 13 6 1 1
compr(\x.((x + 2) mod ((((x - 1) div 2) mod 2) + 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A097859: 2 2 2 2 4 2 2 6 6 2 2 7 10 7 2 2
((2 - (x mod 2)) div (((x div (2 + 2)) + 2) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))))
A187080: 1 0 1 0 1 0 0 1 1 0 0 1 2 0 0 0
((((((x mod ((((x mod (((2 - (((x div 2) * x) mod 2)) * 2) + 1)) + 1) * 2) + 1)) + 1) div (2 + 1)) + 1) * 2) div (2 + 1))
A216789: 0 0 1 0 1 1 0 1 2 2 0 1 2 1 1 0
((((((x div (((x - ((((x div 2) div ((x mod (2 + 2)) + 1)) * 2) - 1)) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A136568: 0 1 1 2 1 1 1 3 2 1 1 1 2 1 1 1
((((((((((((x div (2 + 1)) * (x div 2)) div 2) + 2) div (2 + 1)) + 1) * 2) - (x mod (2 + 1))) div 2) + 1) * 2) div (2 + 1))
A058762: 1 0 0 1 1 1 2 1 2 2 2 2 4 3 4 5
((((((((((((((2 + 1) * x) + 2) * x) * ((2 + 2) + 1)) div 2) div (2 + 1)) div 2) + 1) div 2) div 2) + 1) * 2) div (2 + 1))
A214294: 0 0 1 2 4 6 8 12 14 18 22 27 32 37 43 49
(((((((((x - (2 div ((x div 2) - ((2 + 2) * 2)))) * 2) + 1) div ((2 + 2) + 1)) * (2 + 1)) + x) + 1) mod 2) * (2 + 1))
A084055: 3 3 0 3 3 0 0 3 0 0 3 3 0 3 3 3
((((x mod ((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div (2 + 1)) * 2) + 1)) + 2) * 2) div (2 + 1))
A152650: 1 1 1 1 2 1 1 2 3 1 1 4 9 4 1 1
((((((x mod ((((x mod (((x mod (2 + 2)) + 1) * (2 + 1))) + 1) mod (x + 1)) + 2)) + 1) mod (x + 1)) + 2) * 2) div (2 + 1))
A118177: 1 1 2 2 2 2 2 2 4 4 3 2 2 2 6 4
((1 - ((x mod ((((((1 - (x mod (((2 - (x mod 2)) * 2) * 2))) mod (x + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2)) mod (2 + 1))
A024940: 1 1 0 1 1 0 1 1 0 1 2 1 0 1 1 1
(((((((((((((((x * 2) - (x mod 2)) + 2) * 2) + 1) * 2) + 1) + 1) * 2) + 1) * 2) + 1) - (x mod 2)) + 2) + (2 + 1))
A043938: 56 71 120 135 184 199 248 263 312 327 376 391 440 455 504 519
((((((((((((((2 + 2) * 2) * 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2) div (2 + 1)) + 2) div (2 + 1)) + x) div 2) + 1)
A022785: 1 4 10 19 30 44 61 81 103 128 156 186 219 255 294 335
((((((((((((x * 2) - (x mod ((2 + 2) * 2))) * 2) - (x mod (2 + 2))) * 2) + x) + 1) * 2) div (2 + 1)) + x) div 2) + 1)
A004792: 1 2 4 5 10 11 13 14 29 30 32 33 38 39 41 42
(((((((((((((1 - (x mod (2 + 1))) mod (x + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + x) div 2) + 1)
A049980: 1 1 2 2 3 4 4 4 7 6 6 9 7 8 13 9
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (((x div 2) mod 2) + 2)) + 1)) + 1) div ((x div 2) + 1))
A339829-A301345: 1 1 0 0 1 0 0 1 1 0 0 0 2 1 0 0
(((((((((((2 - ((x * 2) mod ((x div 2) + 2))) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) - 1)
A124748: 0 1 0 2 1 1 0 3 2 2 2 1 1 1 0 4
(((x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + (x mod 2)) + 1)
A344774: 1 2 1 3 1 3 1 4 2 3 1 5 1 3 2 5
(compr(\x.(((((((x - ((x mod ((((2 + 1) * 2) mod ((x div 2) + 1)) + 2)) div 2)) * 2) + 1) * 2) + x) mod (2 + 1)) - 1),x) + 1)
A028778: 2 3 5 6 7 8 11 12 13 15 17 18 19 20 21 22
(compr(\x.(2 - (((((((x div (1 - (((1 - x) div ((x div 2) + 2)) * 2))) + 1) + x) div 2) + 1) + x) mod ((2 + 2) + 1))),x) + 1)
A117672: 2 3 5 6 8 9 11 12 14 15 17 18 21 24 25 27
(compr(\x.(1 - ((((((((x * 2) - ((((2 - x) div (2 + 2)) - x) div 2)) + 1) * 2) * 2) div (2 + 1)) + 1) mod (2 + 1))),x) + 1)
A284790: 1 4 5 6 7 10 11 12 14 16 17 18 19 21 23 24
(compr(\x.(1 - (((((((((((x div 2) + 1) * (2 + 1)) * (2 + 1)) mod (x + 1)) + 2) div 2) div 2) + 1) * 2) mod (2 + 1))),x) + 1)
A051534: 1 2 3 4 5 6 7 8 9 10 11 13 15 17 19 20
((((((((((((((x div 2) + x) div ((2 + 2) * 2)) * 2) + x) + 1) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) + x) + 1)
A187575: 2 4 7 8 11 13 16 18 20 22 24 27 29 32 33 36
(compr(\x.(((((((1 - x) div ((x div 2) + 2)) + (x div ((2 + 2) + 1))) + x) + ((x * 2) * 2)) mod ((x div 2) + 1)) mod 2),x) + 1)
A342777: 1 2 4 7 8 9 10 11 13 14 15 16 17 20 22 23
(((((((((x mod (x - ((x - 1) mod ((2 + 2) * 2)))) * ((x div (2 + 2)) + 1)) div 2) + 1) * (2 + 1)) div 2) div 2) + x) + 1)
A102576: 1 2 3 4 5 6 7 8 9 10 12 15 18 20 23 25
(((((((((((x div 2) + 2) div (2 + 1)) + 1) * ((((x div 2) + 1) div 2) + 1)) div 2) + 1) * 2) div (2 + 1)) + 1) + (x + 1))
A050023: 2 3 6 7 8 9 10 11 13 14 16 17 18 19 23 24
((((((x mod ((((((x * 2) * 2) mod ((((2 + 2) * 2) * 2) + 1)) + 2) * 2) + 1)) + 1) mod (x + 1)) * 2) + 1) * (x + 1))
A072941: 1 2 3 4 5 6 7 8 9 30 11 12 13 210 15 16
((((((((((((2 + 2) * (2 + 1)) - 1) * (x + 1)) div (((x + 2) + 2) + 2)) + x) + 2) + 2) + 2) + 2) + 2) - (x + 1))
A109394: 10 12 13 13 14 15 15 15 16 16 16 16 16 17 17 17
compr(\x.((((x div (((2 + 1) * 2) + 1)) * 2) - (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))) - (x mod 2)),(x + 1))
A082463: 1 2 3 4 5 6 7 9 10
A283970: 1 2 3 4 5 6 7 9 10 11 12 13 15 17 19 23
((((((((x - ((((x mod ((0 - 2) - (x div (2 + 1)))) + 1) mod 2) - 1)) + x) + x) + 2) * 2) + (2 + 1)) + x) + (x + 1))
A043101: 8 18 24 32 40 50 56 66 72 82 88 96 104 114 120 128
((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) div (2 + 1)) * ((x div (((2 + 1) * 2) + 1)) + 1)) + 1) div 2)
A333310: 1 0 1 0 1 1 0 1 1 1 0 1 2 1 2 0
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div ((0 - (x mod ((2 + 2) + 1))) - 1)) - 1)) div 2))
A213086-A050446-A026736: 1 1 1 1 2 1 1 3 3 1 1 5 6 4 1 1
(((x div ((((((((x div ((2 + 2) + 1)) * 2) + x) + 1) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 1) * (2 + 1))) + 1) + 2)
A216944: 3 3 3 3 3 3 5 3 5 3 3 3 3 7 3 5
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((1 - (x div 2)) div (2 + 1)) * (2 + 1)) - 1)) div 2))
A091442: 1 1 1 1 3 1 1 3 3 1 1 5 8 5 1 1
(x div (((((((((((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * (x div 2)) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2))
A213726-A213725: 0 0 1 0 0 1 1 0 0 1 2 0 1 1 1 0
(((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * (x + 1)) mod (((2 + 2) * 2) + 1)) + 2) div (2 + 1)) + 1) div 2)
A228601: 1 1 0 0 1 0 0 2 0 0 0 1 1 1 0 0
((((((((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 2)) - 1) * (2 + 1)) mod (((2 + 1) * 2) + 1)) + 1) div 2) + 1) div 2)
A096810: 0 2 0 2 1 0 2 1 2 0 2 2 1 1 0 2
(1 - (((((((((((((2 - (((x - 1) div 2) * (x div 2))) * x) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2))
A017830: 1 0 0 0 1 1 1 1 2 2 3 4 6 7 9 12
(((((((x mod ((((((x - ((x div 2) mod 2)) mod ((2 + 2) + 1)) * 2) + 1) mod (x + 1)) + 2)) + 1) div 2) + 1) div 2) + 1) div 2)
A070000: 0 1 0 0 1 1 0 1 1 2 2 1 1 1 1 1
(((((x div (((2 - (x mod ((((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) * 2) + 1))) mod (x + 1)) + 2)) + 1) div 2) + 1) div 2)
A280134: 0 0 1 0 1 1 1 1 1 0 1 2 2 1 1 1
(((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) * (((x + 2) + 2) + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2)
A167749: 1 0 1 0 1 1 0 1 2 1 0 2 3 3 1 0
(((((((((x + 2) * x) + 2) * (x + 2)) - (((((x + 2) * x) * (x + 1)) div 2) div (2 + 1))) * (x + 1)) div 2) + 1) div 2)
A007715: 1 7 27 75 170 336 602 1002 1575 2365 3421 4797 6552 8750 11460 14756
(x - (((((((((x div ((x div ((x mod (((2 + 2) + 1) * 2)) + 2)) + 2)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2))
A337020: 0 1 1 2 3 4 4 5 5 6 8 9 9 9 10 11
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((2 - ((x div ((2 + 2) + 1)) * 2)) * 2) + 1)) div 2))
A111028: 1 1 1 1 ~1 1 1 1 1 1 1 3 4 3 1 1
(1 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) - ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2)))
A204004: 1 3 3 5 4 5 7 6 6 7 9 8 7 8 9 11
(1 - (1 mod (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) + 1) * (2 + 1)) - 2)))
A197217: 1 1 1 1 2 1 1 5 5 1 1 8 14 8 1 1
(((1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) * 2) div (2 + 1))) * (2 + 1)) div 2)
A102716: 1 1 1 1 3 1 1 4 4 1 1 7 12 7 1 1
((((((((((x + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + 1) * (x + 2)) * (((x + 2) * x) + 1)) div 2) div (2 + 1)) div 2)
A108676: 1 16 93 340 950 2226 4606 8688 15255 25300 40051 60996 89908 128870 180300 246976
((((((((((((2 + 1) * x) + 2) * (x + 1)) div 2) * ((2 + 2) + 1)) + 1) * (x + 2)) * (x + 1)) div 2) div (2 + 1)) div 2)
A302560: 1 13 61 185 440 896 1638 2766 4395 6655 9691 13663 18746 25130 33020 42636
(((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) * 2) div (2 + 1)) * 2)
A271910: 0 0 0 0 4 0 0 10 10 0 0 16 36 16 0 0
((((((((((x + 1) div ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) * 2) mod (x + 1)) + 2) + 2) + x) div (2 + 1)) div 2)
A319821: 0 0 1 1 2 1 2 2 2 3 3 4 3 3 3 4
((((((((((((2 + 2) * 2) * ((x mod 2) + 1)) mod (x + 1)) + 2) div (2 + 1)) + 1) div 2) + 1) * 2) - (x mod (2 + 1))) div 2)
A000360: 1 0 1 1 1 1 2 0 2 2 2 1 3 1 2 1
(((((((((((((((x * x) div 2) - (x div (2 + 1))) div 2) div 2) * 2) + 1) + x) div 2) * 2) + 1) + x) + x) div (2 + 1)) + 2)
A135785: 2 3 4 5 7 9 11 13 15 17 19 23 25 29 31 35
(((((x mod ((((x - 1) div (2 + 1)) * 2) - 1)) div 2) * 2) + 1) + ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2))
A137855: 1 1 1 1 2 1 1 2 4 1 1 2 5 8 1 1
(((((((((x * 2) + 1) * 2) * 2) - (((x div (2 + 1)) + x) div ((2 + 2) + 1))) + (((x + 1) div 2) div 2)) + x) + 1) + 2)
A326664: 7 16 25 35 43 52 61 71 79 88 97 107 115 124 133 142
((((((x - ((((((x * x) div (2 + 2)) mod (x + 1)) mod (2 + 1)) mod 2) * 2)) * (x + 1)) mod (2 + 1)) + 1) mod (x + 1)) + 2)
A098201: 2 3 3 3 4 3 3 4 3 3 5 3 4 5 3 3
(((((1 - ((x div 2) - ((((((x div 2) + 1) * (2 + 1)) + x) * 2) + 1))) * (2 + 1)) * (2 + 1)) - 1) + ((x + 1) mod 2))
A043967: 72 89 153 170 234 251 315 332 396 413 477 494 558 575 639 656
(((((x + 1) div ((x mod ((x div (((1 mod (1 - (x * 2))) mod (((x div (2 + 2)) + 2) + 2)) + 2)) + 1)) + 1)) + 1) div 2) div 2)
A104245: 0 0 1 0 1 1 0 1 2 2 0 1 3 2 1 0
(((((((((x mod ((((x + 2) mod (((x mod 2) + 1) * 2)) * 2) + 1)) + 1) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A336722: 1 1 1 1 1 4 1 1 1 2 1 2 1 4 1 1
(((((((((x mod ((((x mod ((2 + 2) + 1)) * (x div (2 + 2))) div 2) + 1)) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A113926: 1 1 1 1 2 1 1 2 1 4 1 2 1 4 1 1
(((x mod (((((x + 1) mod (((x div ((((x div 2) mod ((2 + 2) + 1)) + 2) + 1)) + 2) * 2)) + 1) mod (x + 1)) + 1)) + 2) div 2)
A240128: 1 1 1 1 1 1 1 2 2 2 1 2 2 1 3 4
(1 - (((((((((1 - (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) div 2))
A330617: 1 1 1 1 1 2 1 2 2 2 1 2 2 2 4 1
(((((((((((x + 1) mod (((x mod ((2 + 2) + 1)) * 2) + 1)) mod 2) * 2) + 2) * 2) + 1) * x) mod ((2 + 2) + 1)) + 2) div 2)
A242012: 1 1 2 1 1 1 3 2 1 1 1 1 2 1 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (x - (x div (2 + 2)))) + 1) div 2) div 2)
A338034: 0 0 0 0 1 0 0 3 3 0 0 7 9 7 0 0
((((((((((((((((x * x) * x) div (2 + 2)) div (2 + 1)) + 1) div 2) + 1) div 2) + 2) div 2) * 2) * 2) + x) + 1) div 2) div 2)
A218947: 1 1 1 2 3 3 4 6 8 10 13 18 22
(((((((((((x * x) * x) mod ((((2 + 2) * 2) * 2) + 1)) * (2 + 1)) div (x + 1)) * 2) + x) * 2) mod (x + 1)) div 2) div 2)
A132213: 0 0 0 0 0 1 1 0 1 1 2 0 1 3 0 0
(2 - (1 mod (2 - (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2) * 2) * 2))))
A132733: 1 1 1 1 3 1 1 7 7 1 1 11 19 11 1 1
(((((((((((((x + 1) * x) div 2) * ((2 + 2) + 1)) div (2 + 1)) + x) * (2 + 1)) div 2) * 2) + 1) + (x mod 2)) div 2) div 2)
A267454: 0 2 5 10 15 23 30 40 51 63 75 91 106 123 141 161
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x mod (((2 + 1) * 2) + 1)) * 2) - 1)) + 1) mod (2 + 2))
A127967: 1 1 1 1 0 1 1 0 2 1 1 0 3 0 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((((x + 1) div 2) div 2) div 2) * 2) + 1)) + 1) mod (2 + 2))
A204179: 1 1 1 1 2 1 1 0 0 1 1 0 3 0 1 1
(((((((((x + 2) + 2) + 2) * ((x + 2) + 2)) * (((x + 2) + 2) + 1)) div 2) div (2 + 1)) div ((2 + 2) + 1)) div (2 + 2))
A084627: 1 1 2 4 6 8 11 14 18 22 28 34 40 48 57 66
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (2 - ((x div 2) mod 2))) + 1)) + 1) div 2) mod (2 + 2))
A143655: 0 0 0 0 2 0 0 0 3 0 0 2 3 0 0 0
(((((((((x * 2) * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) * 2) - (((x + 1) div 2) div 2)) + 2) + x) div 2) + 2)
A189403: 3 7 12 15 19 24 28 31 36 40 44 48 52 57 60 64
(((((((((((1 - x) mod ((x div ((x mod 2) + 2)) + 2)) + 2) + x) + x) + x) + 2) * 2) div (2 + 1)) - 1) + ((x div 2) mod 2))
A217682: 2 3 8 9 10 13 14 18 21
((((((((((((x + 2) * x) div 2) mod (((2 + 2) * (2 + 1)) - 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) div 2)
A193330: 0 1 1 2 1 2 1 3 2 2 1 2 2 3 1 2
((((((((((x - (((x div 2) - 2) div (2 + 1))) div 2) + ((x + 1) * (2 + 1))) * 2) + x) + 1) * 2) div (2 + 1)) + x) div 2)
A184813: 2 5 8 12 15 17 21 24 27 30 33 36 39 43 46 49
((((((((((((((x * x) div 2) * (x - 2)) div (2 + 1)) + (x * x)) div 2) div 2) + x) div 2) + x) + 2) div (2 + 1)) + x) + 2)
A058577: 2 4 5 7 9 11 14 16 20 23 27 31 36 42 48 54
((((((((((((x * 2) + 1) mod (((((2 + 2) * 2) * 2) * 2) - 1)) + 1) * 2) div (2 + 1)) + 1) + x) div 2) + 1) + x) div 2)
A302839: 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 12
(((((((((((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + x) * 2)
A249721: 0 2 4 6 8 12 14 18 20 22 24 26 36 38 42 44
(((((((((((x - (x div (((2 + 2) * 2) + 1))) div 2) + ((x + 1) * 2)) + 2) + 2) + x) + x) * (2 + 1)) div 2) + x) - 2)
A190367: 7 14 22 29 38 45 53 60 69 76 83 91 98 107 114 122
((((((((((((((x div (2 + 2)) - 1) * (x div 2)) + 2) * (x + 1)) div 2) div 2) + x) div 2) + 2) + (x + 1)) div 2) + x) div 2)
A084689: 0 1 2 3 4 5 6 7 9
A174328: 0 1 2 3 4 5 6 7 9 10 11 13 16 18 20 21
(((((((((((((x * 2) * 2) + 1) * 2) + 1) * (x + 2)) div 2) div (2 + 1)) + 1) * 2) div ((2 + 2) + 1)) + 1) mod (x + 2))
A008802: 1 0 2 0 3 0 4 0 5 1 7 2 9 3 11 4
((((x - ((((x div (((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) + 1)) + 1) mod (x + 1)) - 1)) div 2) + 1) + (x div 2))
A074882: 1 2 3 4 5 4 7 8 9 7 11 9 13 10 13 16
((((((((((((x * x) div (2 + 2)) * (x - 1)) + 1) div ((2 + 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2))
A321185: 1 0 1 1 2 2 5 5 9 11 17 20
((((((((x div (((x - ((x div 2) mod ((2 + 2) + 1))) mod (2 + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2))
A126237: 1 2 1 2 2 3 3 3 2 3 3 3 3 4 4 4
((((((((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) div 2) + 1) * (2 + 1)) div 2) * (x mod 2))
A318455: 0 1 0 3 0 1 0 4 0 1 0 3 0 1 0 7
compr(\x.(1 - (x mod ((x mod ((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1)) + 1))),x)
A113837: 5 7 11 13 14 15 17 19 22 23 26 27 29 31 33 34
(((((((((((((x * 2) * 2) * 2) * 2) * 2) + 1) * (x - 1)) * ((x - 1) div (2 + 1))) div 2) + 1) div (2 + 1)) + 1) + x)
A066776: 1 2 3 4 69 113
(((((((((((((((x mod (2 + 1)) + x) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A146215: 1 2 4 5 6 7 8 10 11 12 14 16 17 18 21 22
compr(\x.(((((((x mod (((x - 1) mod ((((x mod (2 + 1)) + 2) * 2) + 1)) + 1)) * 2) + 1) mod (x + 1)) + 2) mod (2 + 1)) - 1),x)
A211202: 1 2 3 4 5 6 7 8 12 15 16 18 20 21 22 23
(((((((((((((((x div (2 + 1)) + x) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + x) * 2) div (2 + 1)) + 1) - x)
A339395: 1 0 1 0 1 1 1 2 2 3 4 4 6 7 8 10
((((((((((((((x div ((2 + 2) + 1)) + x) * (x - 1)) div 2) div 2) div 2) + x) + 2) div 2) + x) * 2) div (2 + 1)) + 1) - x)
A108932: 1 1 1 1 1 2 3 3 3 4 5 6 7 8 10 12
compr(\x.(2 - ((((x div 2) + x) div (2 + 2)) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))),x)
A169692: 6 9 10 14 15 16 17 19 22 23 24 25 26 27 28 30
((((((((((((((((x * x) * (2 + 1)) + x) div 2) * (2 + 1)) div 2) + x) div 2) + x) div 2) + x) * 2) + x) div 2) + 1) - x)
A294864: 1 2 6 9 15 21 29 38 48 59 71 84 99 114 131 148
((compr(\x.(1 - ((((((((((((x div 2) mod 2) + x) div 2) * 2) + x) + 1) * 2) div (2 + 1)) + 1) * 2) mod (2 + 1))),x) + 1) - x)
A305557: 1 1 1 2 2 3 4 5 5 6 6 6 6 6 7 7
((compr(\x.(1 - (((((((((((x div (2 + 2)) - 1) * 2) mod (x + 1)) div 2) + x) div 2) + x) + 2) * 2) mod (2 + 1))),x) + 1) - x)
A284520: 1 2 2 2 3 4 4 4 4 5 6 7 8 8 8 8
(((2 - (((x mod ((x div (((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 2)) + 1) mod (x + 1))) div 2) + x)
A081210: 1 2 3 3 5 6 7 7 7 10 11 9 13 14 15 15
compr(\x.((((x + 1) mod ((((1 - ((((x - 1) * 2) mod ((x div (2 + 2)) + 2)) mod (2 + 1))) mod (2 + 1)) * 2) + 1)) mod 2) * 2),x)
A269389: 1 2 4 6 7 8 11 13 14 16 18 19 20 21 22 23
compr(\x.(1 - ((x mod (((((((x div (2 + 1)) + 1) mod ((x mod ((x div (2 + 1)) + 1)) + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2)),x)
A242401: 2 5 7 8 11 12 13 14 17 18 19 20 22 23 24 26
((((((((((((x * 2) * (x + 1)) + 1) * ((x * 2) + 1)) + x) div ((2 + 2) + 1)) + 1) * 2) div (2 + 1)) + 1) + x) + x)
A299276: 1 5 14 31 59 101 161 242 347 479 641 837 1070 1343 1659 2021
(compr(\x.(loop(\(x,i).((if x <= 0 then 1 else (if (x mod 2) <= 0 then x else loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x))) + x),2,x) - 1),x) + 1)
A241071: 1 2 4 6 8 10 12
A239063-A151999: 1 2 4 6 8 10 12 16 18 20 24 30 32 34 36 40
loop(\(x,i).(((if x <= 0 then 1 else loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,1))) + x) + (x * 2)),x,1)
A167868: 1 11 249 8747 369241 17110731 840221217 42944901219 2260581606657 121714776747971 6671749658197129 371062413164972955 4611686018427387903 4611686018427387903 4611686018427387903
compr(\x.loop(\(x,i).(if x <= 0 then 1 else ((if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1))) - 2)),2,x),(x + 1))
A043682: 5 9 10 11 13 17 18 19 20 22 23 25 26 27 29 33
((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) else 1) + (if x <= 0 then 1 else 2)) else 1) + (if x <= 0 then 1 else 2))
A010189: 11 3 5 3 22 3 5 3 22 3 5 3 22 3 5 3
compr(\x.loop(\(x,i).(1 - x),x,(if x <= 0 then 1 else ((if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1))) - 2))),x)
A280998: 2 4 5 6 8 9 11 12 13 14 16 17 19 21 23 24
compr(\x.loop(\(x,i).(loop(\(x,i).((x + 1) - (if x <= 0 then 2 else (loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1))),2,x) * (x + 1)),2,x),x)
A174219: 2 3 4 5 6 7 11 12 13 17 18 19 23 29 30 31
(loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).(x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))),2,x))),x,x) + x)
A304091: 0 1 1 2 1 3 1 3 2 2 1 4 1 3 2 3
((if (if x <= 0 then 1 else (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) <= 0 then x else (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 1)
A068519: 2 2 3 7 5 13 7 19 23 29 11 37 13 43 47 53
(((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1)) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + 1)
A001552: 5 15 55 225 979 4425 20515 96825 462979 2235465 10874275 53201625 261453379 1289414505 6376750435 31605701625
(((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1))) - loop(\(x,i).((2 + 1) * x),x,1)) - 1)
A147976: ~3 ~5 ~5 25 271 1825 10735 59425 318271 1670785 8656975 44454625 226827871 1151991745 5830280815 29429454625
(1 - ((if x <= 0 then 0 else (((loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2) mod ((2 + 2) + 1)) + 1)) mod (2 + 1)))
A227985: 1 0 ~1 0 ~1 1 0 ~1 1 ~1 0 ~1 1 ~1 0 0
((loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 2)) + x) + ((x * 2) + 1))
A193532: 3 4 8 9 11 12 17 18 20 21 24 25 27 28 34 35
((compr(\x.loop(\(x,i).(x - loop(\(x,i).(x - (x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1))),x,x)),2,x),x) * 2) + 1)
A182058: 1 3 5 7 9 13 17 21 25 29 33 37 41 45 49 57
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A026738: 1 28 516 7952 111440 1477056 18912832 236879104 2924469504 35764112384 434623874048 5259666886656 63472710995968 764545789837312 9197653087371264 110557371200503808
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025440: 1 15 145 1155 8281 55755 360865 2276835 14126761 86681595 527948785 3199656915 19327384441 116486845035 701025539905 4214614099395
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A025984: 1 28 524 8288 119952 1646400 21834688 282827776 3602179328 45309135872 564541565952 6982826532864 85877229359104 1051359996166144 12824652929417216 155979167054692352
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025467: 1 17 191 1813 15855 132909 1089607 8828501 71093759 570671101 4573228023 36617788389 293071750063 2345096538893 18762876780839 150111475106677
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A163942: 1 14 121 834 5037 27918 145777 728858 3526933 16640262 76952793 350167122 1572467389 6984206846 30735634369 134202204426
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1))
A026562: 1 26 440 6160 77616 915936 10347520 113400320 1215923456 12829712896 133751654400 1381696942080 14173677776896 144610035654656 1469203965870080 14877573810749440
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A025211: 1 14 125 910 5901 35574 204205 1132670 6129101 32566534 170691885 885423630 4556561101 23305343894 118631189165 601616805790
loop(\(x,i).((2 + 1) * x),(x * 2),loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A076010: 1 90 5265 255150 11160261 458810730 18124795305 697117731750 26323112938221 981154011007170 36233774365169745 1329174591745823550 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * (2 + 1)),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A075917: 1 60 2340 75600 2204496 60419520 1591202880 40800672000 1027086863616 25522067450880 628349082117120 15366613964083200 373968813041012736 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A076004: 1 80 4160 179200 6967296 254607360 8940421120 305659904000 10259284361216 339910422691840 11158051230842880 363834840082022400 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(((2 + 2) + 1) * x),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A075912: 1 50 1625 43750 1063125 24281250 532890625 11386718750 238867578125 4946347656250 101481884765625 2068161621093750 41943091064453125 847579699707031250 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A025470: 1 18 217 2238 21493 199506 1821889 16508646 149043565 1343313114 12097677241 108911059374 980328977317 8823483334242 79413454477873 714729551160822
(0 - loop(\(x,i).loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)))
A080085: 1 1 3 4 8 10 15 16 19 25 26 34 38 39 42 49
(2 - (loop(\(x,i).((2 + 1) * x),x,1) - (loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,1)))))
A081684: 1 ~1 ~1 29 275 1829 10739 59429 318275 1670789 8656979 44454629 226827875 1151991749 5830280819 29429454629
(2 - ((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).((x - 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1))))
A090024: 0 1 45 571 5841 55651 515025 4702531 42649281 385447171 3476958705 31332052291 282184860321 2540643522691 22870684139985 205860600134851
(if (x * x) <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,(loop(\(x,i).((x + 1) * 2),x,1) div 2)) div loop(\(x,i).((2 + 1) * x),x,1)) div 2) + 1) div 2))
A182097: 1 0 1 1 1 2 2 3 4 5 7 9 12 16 21 28
(loop(\(x,i).((2 + 1) * x),(x - 1),(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),x,1))) div 2)
A322914: 0 1 15 198 2511 31266 385398 4721004 57590271 700465482 8501284530 103007201364 1246500179910 15068548264212 182007001727244 2196875784339288
(((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(x * 2),x,1))) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) div 2)
A083327: 0 1 7 40 217 1156 6097 31900 165697 855076 4387537 22404460 113945377 577590196 2919923377 14729076220
(if (x * 2) <= 0 then 1 else ((((if x <= 0 then 1 else ((if x <= 0 then 1 else ((loop(\(x,i).(((x div 2) + x) * 2),x,1) + (x * x)) + 2)) * 2)) - x) div 2) div 2))
A335725: 1 2 5 13 35 93 260
loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).(x * 2),compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x),2)))
A133052: 216 21952 122023936 536971313152 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,loop(\(x,i).(loop(\(x,i).((x * x) * x),2,x) * (x * x)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)))
A137486: 4194304 31381059609 2384185791015625 3909821048582988049 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((if x <= 0 then 1 else 2) * (2 + 1)) else 1) * ((2 + 2) + 1)) else 1) + (if x <= 0 then 1 else 2)) - (x mod 2))
A040253: 16 2 3 6 3 2 32 2 3 6 3 2 32 2 3 6
compr(\x.(loop(\(x,i).(1 - (x * 2)),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)))),x,(x + 1)) + x),1) * 2),x)
A233524: 0 1 2 4 5 8
A072756: 0 1 2 4 5 8 9 10 11 14 17 18 19 20 22 23
loop(\(x,i).(i + x),((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)),0)
A066446: 0 1 1 3 1 6 1 6 3 6 1 15 1 6 6 10
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) div (2 + 1)),1,i) + x),x,0)
A192225: 0 1 2 5
A160714: 0 1 2 5 6 9 12 21 22 25 28 37 40 49 58 85
loop(\(x,i).(loop(\(x,i).((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)),1,i) + x),x,0)
A077597: 0 2 4 7 9 13 15 19 22 26 28 34 36 40 44 49
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)) + (if x <= 0 then 0 else 1))
A011974: 2 5 8 12 18 24 30 36 42 52 60 68 78 84 90 100
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) mod loop(\(x,i).((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 2) - 1) * 2) - 1),1,1))
A036156: 1 5 25 125 46 37 185 153 186 158 18 90 64 127 56 87
(((0 - (if (x mod (2 + 1)) <= 0 then ((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,x) div 2) mod (2 + 1)) else 1)) mod (2 + 1)) + 1)
A111629: 1 3 3 1 3 3 3 3 3 1 3 3 2 3 3 2
(x div ((((((loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2) * ((2 + 2) + 1)) + 1) * 2) div (2 + 1)) + 1))
A220692: 0 1 0 3 0 0 6 1 1 0 10 2 1 0 0 15
loop(\(x,i).(i * x),((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)),1)
A130674: 1 2 2 6 2 24 2 24 6 24 2 720 2 24 24 120
(loop(\(x,i).(x * 2),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)),1) + 1)
A137780: 3 5 5 17 5 17 5 17 65 5 65 17 5 17 65 65
(x - (((((loop(\(x,i).(x * 2),loop(\(x,i).(x div ((x mod 2) + 1)),x,x),1) + loop(\(x,i).(x * 2),x,1)) - 1) - (x mod 2)) mod (x + 1)) - 1))
A173557: 1 1 2 1 4 2 6 1 2 4 10 2 12 6 8 1
(((if 1 <= 0 then ((loop(\(x,i).((x * x) * 2),(x * x),2) div 2) * x) else (loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) - 1)) * 2) + 1)
A160452: 19 199 1999 4611686018427387903
((((loop(\(x,i).(x * 2),(if x <= 0 then 2 else (((x mod 2) * 2) + 1)),loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + 1) div ((2 + 2) + 1)) * 2) + 1)
A339545: 3 19 29 691
(((((compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,(x - 1))),x) * 2) * 2) div (2 + 1)) * 2) - 1)
A317510: 7 15 31 39 55 71 111 119 151 175 231 239 255 311 319 335
((((loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,2) + 1)) + loop(\(x,i).(((2 + 1) * x) + 2),(x * 2),2)) + (2 + 1)) * 2) - 1)
A206170: 15 85 641 5257 44585 385465 3375401 29817817 264999305 2364834745 21162573161 189737549977 1703284356425 15303437762425 137574211418921 1237227532571737
(((if x <= 0 then 2 else (((((((loop(\(x,i).loop(\(x,i).((x + 1) * i),x,2),x,1) + 2) * 2) div (2 + 1)) + x) + x) * 2) * (2 + 1))) * 2) + 1)
A092838: 5 61 277 4611686018427387903 4611686018427387903
(loop(\(x,i).(((x * 2) * 2) * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),1) div (((2 + 1) * 2) + 1))
A318935: 1 9 1 73 1 9 1 585 1 9 1 73 1 9 1 4681
(((compr(\x.(1 - loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x * 2) * (x + 1)) + 1))),x) + 1) * 2) - 1)
A263722: 9 11 19 21 23 25 29 31 39 41 43 49 51 53 55 59
((loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(2 + 1)),1,i) + x),x,1) div 2) + 1)
A151788: 1 4 7 13 16 22 28 40 43 49 55 67 73 85 97 121
((((compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x * 2)) + 1),2,x) mod (x + 1)),x) + 1) * 2) * 2) + 1)
A071699: 5 13 61 73 109 181 193 229 241 313 349 421 433 601 661 829
((((compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x * 2)) + 1),2,x) mod (x + 1)),x) + 1) * 2) * 2) - 1)
A089188-A071698: 3 11 59 71 107 179 191 227 239 311 347 419 431 599 659 827
(((((((if x <= 0 then 1 else (loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * ((x div ((2 + 2) + 1)) + 1))) * 2) - 1) div 2) div 2) div 2) + 1)
A318601-A214568: 1 0 1 0 1 1 0 1 1 2 0 1 2 3 3 0
((((if x <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) + 1)) + 1) div (2 + 1)) * (2 + 1)) + 2)) * 2) * 2) - 1)
A306970: 3 43 163 907
((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) - (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1))) * 2) + 1) div (2 + 1))
A312944: 1 4 9 13 18 23 27 32 37 41 46 50 54 59 63 68
((loop(\(x,i).(x * 2),x,loop(\(x,i).((if x <= 0 then 1 else (((((x + 2) * (x + 1)) div 2) + x) + (2 + 1))) + x),1,(x + 1))) div 2) - (2 + 1))
A048507: 1 10 35 101 269 685 1693 4093 9725 22781 52733 120829 274429 618493 1384445 3080189
((loop(\(x,i).((x + 2) * x),1,compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1))) * 2) + (2 + 1))
A184417: 33 73 289 649 1801 3529 7201 10369 20809 23329 38089 45001 64801 73729 78409 103969
((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((x * x) * x),(x * x),(x * 2)) + 1)) + 2)) div 2) * (2 + 1))
A250435: 30 12834 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)))
A035116: 1 4 4 9 4 16 4 16 9 16 4 36 4 16 16 25
loop(\(x,i).(i * x),x,((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)))
A318249: 1 2 4 18 48 480 1440 20160 120960 1451520 7257600 239500800 958003200 24908083200 348713164800 6538371840000
((((((loop(\(x,i).(loop(\(x,i).(((x * 2) - (x div (if i <= 0 then 1 else i))) * 2),i,x) + x),x,1) div 2) + (x * 2)) + 1) + x) * 2) + (2 + 1))
A129924: 5 13 37 463
((((((compr(\x.loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x),(x + 1)) + 1) div 2) + 1) div 2) + x) + (2 + 1))
A179242: 4 6 7 9 10 11 14 15 16 18 22 23 24 26 29 35
((if (x mod (2 + 1)) <= 0 then (((if (x mod 2) <= 0 then ((((2 + 2) * (2 + 1)) - 1) * 2) else 1) + 1) * (if x <= 0 then 1 else 2)) else 1) * ((x mod 2) + 1))
A040521: 23 2 1 8 1 2 46 2 1 8 1 2 46 2 1 8
(compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((x + 2) * x) * 2) + 1) * (2 + 1))) - 1),x) + 1)
A187102: 1 2 3 4 6 7 9 11
A143831: 1 2 3 4 6 7 9 11 13 14 15 17 20 22 24 25
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + ((((x * 2) * 2) * (2 + 1)) * (2 + 1))),x,1)
A163927: 1 49 1897 69553 2515513 90663937 3264855049 117543378001 4231639039705 152339702576545 5484235568128681 197432536935184369 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((x * 2) * 2) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024114: 1 27 487 7407 102943 1357119 17315839 216369279 2667080575 32582253951 395677903231 4786097041791 57739474264447 695339842109823 8363901349806463 100525966375567743
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A022448: 1 24 391 5466 71017 888660 10902187 132353502 1597893853 19235078616 231195264703 2776650139458 33333948627409 400093791131292 4801651568584339 57623013420037734
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020758: 1 28 532 8560 125776 1747648 23401792 305401600 3912299776 49432480768 618099069952 7666644643840 94496470552576 1158938055589888 14157139120832512 172384964172513280
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020577: 1 25 427 6229 83779 1076341 13459699 165601573 2017494787 24431946517 294797887891 3549239159557 42674698231075 512696237681653 6156632228705203 73909998565124581
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020972: 1 28 529 8428 122257 1673980 22067473 283450636 3574941073 44501447452 548719235857 6718924954924 81849587868049 993294339107644 12020103854584081 145151139884150092
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((x * 2) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021894: 1 24 393 5536 72513 914088 11282041 137597232 1666743345 20110305592 242090763369 2910464426688 34963222353697 419822302356936 5039713424985177 60489483108391504
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021629: 1 23 366 5062 65555 820701 10087792 122732444 1484551749 17896987459 215340503378 2588122883346 31085733296983 373226612833097 4480104054056724 53770941570620968
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 2) + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020341: 1 24 397 5652 74665 946992 11736613 143526444 1741517569 21034565640 253379036989 3047347017156 36615998359513 439728040092768 5279095003079125 63365680208288988
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021974: 1 26 459 6916 96005 1270542 16318303 205487672 2552951769 31419668098 384095637107 4672689817068 56644179720493 684877363365494 8264853578776071 99595171342479904
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A022725: 1 26 455 6760 92301 1200966 15177955 188364020 2310685001 28133195506 340850357055 4116281407680 49604299052101 596924491783646 7176484756065755 86224982057057740
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020980: 1 30 604 10200 156016 2241120 30844864 411749760 5373888256 68949788160 873102490624 10942870149120 136039563882496 1680275743334400 20645716733968384 252607863319265280
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 1) * 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020969: 1 27 493 7611 107293 1432011 18457741 232505307 2883927805 35398400235 431393410669 5231599117563 63232056214237 762504498009099 9180490786688077 110414131486397979
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021704: 1 25 430 6370 87451 1148875 14682760 184262740 2283789301 28059228925 342594651490 4164091223110 50445694121551 609637726848175 7354257305858620 88598528944951480
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021994: 1 27 495 7735 111111 1517607 20059495 259217895 3295741671 41400518887 515323813095 6369067214055 78280643507431 957886180955367 11679819118040295 142009680313898215
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A019752: 1 27 505 8115 120241 1695387 23126185 308127555 4034342881 52117311147 666165944665 8442335850195 106239836635921 1329127977509307 16546285315207945 205119670292296035
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020568: 1 27 499 7863 113731 1561647 20724139 268611543 3422947891 43073421567 536871293179 6642406690023 81708636139651 1000502412972687 12206022852156619 148472243708301303
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020983: 1 31 643 11155 174811 2566291 36012523 489103555 6481822171 84295081651 1080159920203 13679489505955 171612008243131 2136467306462611 26431716545456683 325327578356628355
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021724: 1 26 465 7150 101621 1378026 18123145 233349350 2958918141 37094306626 461004657425 5690785933950 69876732453061 854393804284826 10411455807073305 126524771262956950
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021334: 1 26 473 7462 109221 1527162 20707681 274691534 3584491901 46184032258 589079813049 7452543446166 93649963947541 1170213435915914 14553113785023377 180253443514702558
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A018208: 1 26 475 7520 110341 1545446 20980975 278565740 3637529881 46892529266 598374287875 7572794935160 95188878040621 1189735265087486 14798979200433175 183331466632763780
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A022033: 1 19 236 2426 22407 193305 1591402 12667072 98321333 748601711 5614533288 41608696038 305407826179 2224262385637 16095911708294 115865978983724
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A020572: 1 23 357 4675 55781 628803 6831637 72401555 754291461 7764923683 79263766517 804302170035 8126850016741 81868359076163 822960967286997 8260021493532115
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A023954: 1 24 379 4974 58825 651228 6891463 70602378 706070629 6931922712 67078160227 641665645062 6081300568513 57197856053076 534603948966271 4970585718586626
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A023955: 1 25 413 5693 70989 831693 9347341 102052621 1091175437 11489041421 119581270029 1233774903309 12644058796045 128906738896909 1308890633457677 13248056512466957
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A023949: 1 22 317 3782 40533 405534 3869149 35663254 320292005 2819331086 24426173421 208945416966 1768927681717 14848644708478 123763757447933 1025496480025718
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A020593: 1 25 423 6053 79079 977613 11662351 135834661 1556251287 17625401981 197992990559 2211194243349 24591484236775 272666167778029 3016684939110447 33322861263616517
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021834: 1 22 329 4226 50469 580422 6541681 72922570 808020125 8923802030 98376704361 1083438632562 11925616635349 131228622530326 1443796242996449 15883448475593882
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A022291: 1 21 292 3402 36043 360843 3485854 32899944 305751325 2812114305 25683350056 233457113526 2115260975647 19123756383207 172639882457698 1556953539144948
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A022343: 1 22 323 4004 45465 491106 5149327 53020528 539857109 5458923470 54963556011 551942523132 5533572185233 55422129454714 554747369555975 5550668292585416
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A019854: 1 22 333 4334 52325 606606 6874477 76908238 854115189 9445967630 104219612861 1148348383182 12643672205893 139152654913294 1531118871452685 16844976107996366
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A021524: 1 21 304 3822 45031 513639 5760910 64038576 708445573 7817058249 86132670988 948329828082 10436851589347 114836710756971 1263391885146058 13898439159046260
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021864: 1 21 294 3466 37275 379407 3727648 35761572 337430709 3146261833 29083452762 267126341118 2441786303503 22239710844099 202003194298836 1830950757258904
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A022452: 1 21 290 3330 34491 334791 3109900 27997860 246301781 2129087961 18155626710 153166509990 1281087729871 10640517267531 87874475534720 722286313011720
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A020838: 1 25 419 5885 74811 892605 10199659 113009005 1223954171 13030808285 136920690699 1424085096525 14693717768731 150657001125565 1537006821834539 15618310264486445
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021594: 1 20 270 3100 32711 328440 3195340 30437000 285695421 2653625260 24459281210 224170373700 2045792060131 18609941810480 168874176353880 1529560509125200
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021874: 1 22 325 4070 46781 511742 5430405 56516790 580744461 5916830062 59935396885 604729235110 6084941584541 61113049957982 612976296281765 6142684971387030
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019623: 1 22 335 4400 53661 628122 7178395 80862100 902846921 10025125022 110934086055 1224883116600 13505988249781 148791855626722 1638292574483315 18032294531183900
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A019958: 1 22 329 4178 48621 537222 5744929 60136378 620564021 6341995022 64384199529 650640568578 6554239839421 65878458172822 661143103694129 6627971208280778
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A020970: 1 26 453 6610 87221 1079106 12770773 146348690 1637020341 17972357986 194425446293 2078548587570 22007974284661 231179027537666 2412362060669013 25033514235831250
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021604: 1 21 300 3670 41511 449151 4730890 48987840 501640821 5098774681 51564400680 519680849610 5225067192931 52448485198611 525869552045670 5268388442396980
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021244: 1 21 308 3942 47271 547407 6213586 69694464 776054741 8602512633 95089014384 1049208790266 11563904125411 127361197423299 1402080935995502 15430644646390548
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A018054: 1 21 310 3990 48031 557571 6338620 71164380 792891661 8792412321 97210822930 1072779241170 11824793506891 130242283148271 1433852001421240 15780680237514360
((if x <= 0 then 2 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x))) + 1)
A230847: 3 2 3 3 5 3 5 3 5 7 3 7 5 3 5 7
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021924: 1 24 389 5364 68025 821808 9633613 110741388 1256415809 14127007752 157849954197 1755978039972 19472809159753 215457395996256 2380083675784541 26261340423891516
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A022469: 1 23 350 4450 51231 554433 5756260 58034900 572630861 5558653243 53279890170 505596134550 4759287370891 44506489496453 413949260130080 3832708325439400
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A022565: 1 24 383 5130 62481 718164 7948003 85708590 907402661 9479002104 98042032023 1006497443250 10273896592441 104411869082844 1057509545490443 10682260439173110
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A020447: 1 24 393 5480 70161 853944 10066393 116192520 1322205921 14898923864 166735197993 1856912289960 20608880226481 228161663489784 2521496249891193 27830232878409800
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A021664: 1 23 362 4894 61251 733461 8546764 97847228 1106991941 12422320339 138608884206 1540404875802 17070111627271 188776494239057 2084583574516688 22994756444303416
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021954: 1 24 387 5278 65793 776412 8835919 98027226 1067371965 11457966520 121639285131 1279935023094 13371252146617 138859728185748 1434922500247623 14766153399643282
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021684: 1 23 360 4810 59111 690573 7801990 86089520 933531621 9989073523 105774639620 1110701801430 11583617458531 120125571974873 1239860303429250 12746044308940540
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021294: 1 23 368 5098 65559 806541 9640606 112964816 1304876837 14914020979 169097614764 1905464222454 21368620595635 238731453906137 2659135639187642 29548298847110812
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A018091: 1 23 370 5150 66451 819413 9810340 115087100 1330524901 15216894803 172615989910 1945847389850 21827965327351 243920416546193 2717439768299080 30200674142257400
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A021784: 1 21 302 3762 43923 497223 5545264 61398804 677478725 7463074905 82149266706 903924739926 9944608539607 109397965416267 1203414334895828 13237742692094328
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A019742: 1 25 431 6365 86511 1117605 13957591 170189245 2038704671 24092243285 281680643751 3265150951725 37583315950831 430083097386565 4897580558961911 55540052099419805
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A021474: 1 20 278 3388 39039 438648 4872316 53834696 593387597 6533322796 71896935474 791018479524 8701965018475 95725426313264 1052998752170552 11583081609022672
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),x,1)
A021314: 1 24 401 5796 77637 992880 12310537 149304732 1781240813 20982537576 244696801713 2830553706708 32524979660629 371663665151712 4227189205549529 47887970149917324
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * (2 + 1))),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A020606: 1 26 457 6782 91693 1170218 14373409 171896534 2016642805 23325176930 266916367081 3029497622606 34167408893437 383440973924762 4286324362209073 47766301010614598
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A020499: 1 25 426 6170 81851 1029315 12498676 148149460 1726010901 19855374605 226242178526 2559210312750 28786474721551 322368894171895 3597522989519976 40035969784960040
loop(\(x,i).((x * 2) * 2),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)),1)
A140299: 4 16 16 256 16 256 16 256 4096 16 4096 256 16 256 4096 4096
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),x,1)
A018206: 1 24 403 5850 78601 1007364 12509263 151886670 1813607701 21378247704 249446413723 2886767617890 33183014997601 379298878576044 4315144805143783 48895164279003510
loop(\(x,i).(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 1))),1,(x + 1))
A138156: 0 2 14 74 352 1588 6946 29786 126008 527900 2195580 9080772 37392864 153434536 627778954 2562441466
((if loop(\(x,i).((((x * 2) * 2) * (2 + 1)) + 1),(x * 2),1) <= 0 then 1 else loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1)) * (x + 1))
A000461: 1 22 333 4444 55555 666666 7777777 88888888 999999999 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else ((((((loop(\(x,i).((2 + 1) * x),(x div 2),1) div (if (x mod (2 + 1)) <= 0 then 1 else 2)) div 2) + 1) div 2) + 1) * 2)) div (x + 1))
A319773: 1 1 0 1 0 0 2 1 2 4 5
(if x <= 0 then 1 else loop(\(x,i).((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1),(if x <= 0 then 0 else 1),(x - 1)))
A193515: 1 1 1 1 1 2 1 1 3 3 1 1 4 5 4 1
loop(\(x,i).(if x <= 0 then 1 else (x - ((1 - (loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) div (2 + 1))) div (2 + 1)))),1,(x - 1))
A001646: 1 1 1 2 3 5 10 21 55
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))) - x),x,1)
A020977: 1 28 525 8240 116921 1555428 19795525 244020280 2937425841 34724726828 404763120125 4666104381120 53319258206761 604990586218228 6825603208406325 76653180504610760
(((loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2),1,i) + x),x,1) div 2) + 1) div 2)
A193494: 0 1 2 4 5 7 9 13 14 16 18 22 24 28 32 40
((if x <= 0 then (2 + 1) else (if (x - 1) <= 0 then x else (((loop(\(x,i).(x - ((((x mod 2) - x) - 1) div ((2 + 2) + 1))),x,1) div 2) * 2) + 1))) div 2)
A058703: 1 0 1 2 2 3 4 5 6 8 10 12 15 18 22 27
(((compr(\x.(2 - (x mod loop(\(x,i).((x * 2) * 2),(1 - loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x)),1))),x) * 2) + 1) + 2)
A001132: 7 17 23 31 41 47 71 73 79 89 97 103 113 127 137 151
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((2 + 1) * x) + 2) * (2 + 1)) - 1)),x) + 1) * 2)
A024908: 2 4 8 12 16 18 22 24 26 32 38 42 46 52 56 64
(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) div (i + 1)) * ((i * 2) + 1)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1) * 2)
A000184: 2 22 164 1030 5868 31388 160648 795846 3845020 18211380 84876152 390331292 1775032504 7995075960 35715205136 158401506118
((2 - ((x mod 2) - ((if (x mod 2) <= 0 then ((((if x <= 0 then 0 else 2) + 2) * (2 + 1)) * ((2 + 2) + 1)) else 1) * (2 + 1)))) - (if x <= 0 then 1 else 2))
A283896: 91 2 180 2 180 2 180 2 180 2 180 2 180 2 180 2
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) div 2) + (if x <= 0 then 1 else 2))
A231407: 1 4 6
A162735: 1 4 6 9 12 15 18 21 26 30 34 39 42 45 50 56
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((2 + 2) * 2) * 2) * (x + 1)) + x)),x) + 1) * 2)
A124127: 6 8 14 18 24 26 36 38 54 56 60 66 74 78 80 84
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((x * 2) * (2 + 1)) + 2) * 2) + x)),x) + 1) div 2)
A067570: 0 1 2 3 4 5 7
A191848: 0 1 2 3 4 5 7 8 9 11 13 14 18 20 21 22
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((2 + 1) * x) + 2) * 2) * 2) - x)),x) + 1) * 2)
A107992: 2 4 10 14 16 22 26 32 46 50 52 56 64 74 80 92
((((((if ((if x <= 0 then 1 else (x div ((if (x mod 2) <= 0 then 2 else x) mod (2 + 2)))) mod 2) <= 0 then x else 1) div (2 + 1)) + 1) * ((2 + 2) + 1)) div 2) div 2)
A271187-A157694: 1 1 1 1 2 1 1 3 3 1 1 1 6 1 1 1
((if x <= 0 then 1 else loop(\(x,i).(x * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),2)) * 2)
A338506: 2 4 4 8 4 16 4 16 8 16 4 64 4 16 16 32
(((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x + 2) * 2) * (x + 1)) + 1)),x) + 1) * 2) - 2)
A129412: 0 2 4 10 12 14 24 30 32 34 42 44 54 62 64 70
(((((loop(\(x,i).((loop(\(x,i).(x - (loop(\(x,i).(1 - (x * x)),2,(2 + 2)) mod (x + 1))),2,x) + x) + 1),x,1) div 2) + 1) div 2) + 2) + 2)
A158650: 4 5 6 8 12 20 28 36
(((loop(\(x,i).(x * x),1,((compr(\x.(2 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),x,(((x + 1) * x) + 1))),x) * 2) + 1)) div 2) + 2) div 2)
A002383: 3 7 13 31 43 73 157 211 241 307 421 463 601 757 1123 1483
((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) + compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + (2 + 2))
A283623: 4 6 9 13 18 22 27 31 38 45 50 58 63 67 74 83
(loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).(loop(\(x,i).(x div (2 - (((x div 2) * x) mod 2))),x,x) - 1),(x + 1),(x + 1)) + (x + 2))) div 2)
A245541: 1 1 3 1 1 3 6 1 1 1 3 3 3 6 10 1
((loop(\(x,i).((if x <= 0 then 1 else ((x * x) * x)) + x),x,loop(\(x,i).((((x * 2) * 2) * 2) * ((2 + 2) + 1)),x,1)) + 1) - ((x * 2) * 2))
A051833: 2 64037 4611686018427387903
((loop(\(x,i).(loop(\(x,i).loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1),1,i) + x),x,1) + x) + 2)
A151923: 3 7 11 21 25 35 45 73 77 87 97 125 135 163 191 273
(x - (loop(\(x,i).(x - (if x <= 0 then 0 else (if (x mod (2 + 1)) <= 0 then 1 else ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)))),2,x) div 2))
A086155: 0 1 1 2 3 3 4 5 5 6 5 6 7 8 7 8
(1 - ((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) * 2))
A062234: 1 1 3 3 9 9 15 15 17 27 25 33 39 39 41 47
(loop(\(x,i).((x + 1) * 2),loop(\(x,i).(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),1,((x div (2 + 2)) + x)),x) div (x + 2))
A103901: 3 7 31 127
A057612: 3 7 31 127 8191 131071 524287 8388607
(((((if x <= 0 then 1 else (((loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1) + x) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315410: 1 6 11 15 20 25 29 34 39 43 48 54 60 65 69 74
((if x <= 0 then 1 else ((((((loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) div 2),2,(x + 1)) + 1) div 2) + 1) div 2) + 1) * 2)) + (x * 2))
A231407: 1 4 6
A020645: 1 4 6 8 10 12 16 16 18 20 24 24 28 30 32 32
(compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((x * 2) * (2 + 1)) + 1) * 2) * 2) - x)),x) * 2)
A102768: 0 4 6 10 16 24 30 36 42 46 64 70 72 76 90 100
compr(\x.(1 - (x mod ((((loop(\(x,i).(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1),1,(x - 2)) div 2) mod 2) * 2) + 1))),x)
A173977: 5 8 11 13 14 17 20 23 25 26 28 29 32 35 38 41
compr(\x.(1 - loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((x + 2) + 2) + 2) * (2 + 1)) + 2) div 2))),x)
A199595: 1 4 9 11 14 18 21 23 24 31 32 33 34 37 40 41
loop(\(x,i).((x * 2) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165827: 1 6 6 36 6 36 6 216 36 36 6 216 6 36 36 1296
loop(\(x,i).(((x * 2) * 2) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165829: 1 8 8 64 8 64 8 512 64 64 8 512 8 64 64 4096
loop(\(x,i).(((2 + 2) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A256693-A165826: 1 5 5 25 5 25 5 125 25 25 5 125 5 25 25 625
(((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 1) * (((2 + 2) * 2) + 1)) + 1)
A171226: 19 919 90109 9001009 900010009 90000100009 9000001000009 900000010000009 90000000100000009 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((((((((if (if (x mod 2) <= 0 then x else 0) <= 0 then (x mod (2 + 2)) else 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A248222: 1 1 2 3 3 2 3 4 3 3 4 5 5 3 5 7
(((((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + (if (x mod ((2 + 2) * 2)) <= 0 then x else 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)
A072084: 1 1 2 1 2 2 3 1 4 2 3 2 3 3 4 1
((((((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x * 2)) + 1) mod (2 + 1)) + 1) * x) + 1) * 2) div (2 + 1)) + 1)
A026207-A026199-A026183: 1 2 5 3 4 11 13 6 17 7 8 23 9 10 29 31
((((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) * 2) div (2 + 1)) + 1)
A087458: 1 2 2 3 2 3 2 3 5 2 5 3 2 3 5 5
(loop(\(x,i).(((((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) + 1)) + 1) * x) * (x + 1)),1,loop(\(x,i).(x * 2),x,1)) + 1)
A020519: 11 2047 1398101 1227133513 1172812402961 1162219258676257 1171221845949812801 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((loop(\(x,i).(i * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),1) mod (x + 1)) + 1)
A342086: 1 2 2 3 2 5 2 5 3 5 2 9 2 5 5 7
((x + 1) div (loop(\(x,i).(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),1,(x + 1)) + 1))
A131755: 1 2 1 4 1 6 2 4 3 10 2 12 4 4 3 16
((((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * (x + 1)) + 1)
A083271: 2 5 7 13 11 25 15 33 28 41 23 73 27 57 61 81
(compr(\x.(loop(\(x,i).((x + 1) * 2),x,(x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2))) mod (x + 1)),(x + 1)) + 1)
A193063-A165132: 2 3 5 7 11 13
A020625: 2 3 5 7 11 13 17
A247142: 2 3 5 7 11 13 17 19 23 29 31 35 37 41 43 47
(loop(\(x,i).(if (x - 1) <= 0 then 1 else ((x - ((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) - 1)) * 2)),1,(x - 1)) - 1)
A159482: 0 0 0 5 7 7 11 13 13 17 19 19 23 23 23 29
loop(\(x,i).((x * 2) * 2),(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2),1)
A165837: 1 16 16 256 16 256 16 4096 256 256 16 4096 16 256 256 65536
loop(\(x,i).((2 + 1) * x),(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2),1)
A165830: 1 9 9 81 9 81 9 729 81 81 9 729 9 81 81 6561
((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - ((1 - (x * 2)) * (2 + 1))))),x) * 2) - 1) * 2) + 1)
A111517: 3 15 19 31 39 43 51 55 75 79 99 111 123 139 159 163
((((compr(\x.(1 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) * (x + 1)))),x) * 2) + 1) * 2) + 1)
A071696: 7 19 31 43 103 139 151 199 271 283 463 523 571 619 643 811
(if x <= 0 then 0 else ((((loop(\(x,i).(x * 2),x,((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1)) - 1) mod (x + 1)) div 2) + 1))
A334033: 0 1 1 2 1 3 1 4 2 3 1 6 1 3 3 8
(if x <= 0 then 0 else (((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 2) * (2 + 1)) + 1)) + 1) div 2) div 2) + 1))
A317905: 0 1 1 2 1 2 1 1 1 1 1 1 4 1 1 2
(((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) * 2))),x) * (2 + 2)) + 1) * 2) * 2) - 1)
A091968: 3 19 67 83 131 163 179 211 227 307 419 467 499 547 563 643
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) - 1) div 2) div 2) + 1)
A160830: 1 1 2 4 5 7 8 10 12 14 16 19 20 22 24 27
((((loop(\(x,i).(loop(\(x,i).(((x - 1) * x) div 2),2,(x - 2)) * x),1,(x - 1)) * x) div 2) div (2 + 1)) div ((((2 + 2) * 2) * 2) - 1))
A000579: 0 0 0 0 0 0 1 7 28 84 210 462 924 1716 3003 5005
(((if x <= 0 then 2 else ((loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) * ((((2 + 1) * 2) * (2 + 1)) + 1)) + 1)) * 2) div ((2 + 2) + 1))
A136962: 0 76 760 7600 76000 760000 7600000 76000000 760000000 7600000000 76000000000 760000000000 7600000000000 76000000000000 760000000000000
(loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((2 + 2) + 1))
A138444: 12 144 3120 23520 354288 965328 4827456 9409104 29607072 118964496 177500544 513145008 950020512 1264272240 2155842624 4432871664
(loop(\(x,i).(((((x * x) * (x * x)) div 2) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((2 + 2) + 1))
A138446: 6 72 1560 11760 177144 482664 2413728 4704552 14803536 59482248 88750272 256572504 475010256 632136120 1077921312 2216435832
loop(\(x,i).i,(((((((((((loop(\(x,i).(x * 2),x,1) + x) div (x + 1)) + x) div 2) * 2) + 1) div ((x * 2) + 1)) + 1) + x) div 2) - 2),1)
A005860: 1 1 1 1 1 1 2 2 3 4 6 7 11 16 24
((((((loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) - 1),x,2) div (2 + 1)),1,(x + 1)) + 1) * (x + 1)) div 2) div (2 + 1)) + 1) mod (2 + 1))
A115382-A115381: 1 1 1 0 2 0 1 1 1 1 0 1 2 1 0 0
(((if x <= 0 then 1 else ((((((loop(\(x,i).(x - (((i mod 2) - (x * 2)) - 1)),x,1) div 2) div 2) + 1) div 2) + 1) * 2)) * (x + 1)) mod (2 + 1))
A112607: 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 2
(((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + (loop(\(x,i).((x + 1) * 2),x,2) * (2 + 1))) + 2) mod (x + 1)) + 2) div (2 + 1))
A161064: 0 1 1 1 1 2 1 2 3 2 3 4 3 5 5 5
((x - ((if x <= 0 then 1 else ((((((x mod ((if (x mod ((x mod 2) + 2)) <= 0 then 2 else 0) + 2)) + 1) mod (x + 1)) div 2) + 1) * 2)) div 2)) mod (2 + 1))
A283319: 0 0 1 2 0 0 1 2 1 1 2 0 2 2 0 0
(((x - ((if x <= 0 then 1 else (loop(\(x,i).(((x * x) * x) * (x * x)),1,(((2 + 2) * (2 + 1)) - 1)) mod (x + 1))) div 2)) + 2) div (2 + 1))
A283190: 0 1 1 1 2 1 2 2 2 3 4 2 3 3 3 4
(((loop(\(x,i).(((x * x) * x) * ((x * x) div 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div (2 + 1))
A138438: 1 9 125 686 6655 15379 58956 102885 267674 853615 1191640 2887221 4824470 6122039 9551716 17418609
((loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A138456: 8 108 2500 19208 292820 799708 4009008 7819260 24626008 99019340 147763360 427308708 791213080 1052990708 1795722608 3692745108
((loop(\(x,i).(((((x * x) * (x * x)) div 2) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1))
A138447: 5 60 1300 9800 147620 402220 2011440 3920460 12336280 49568540 73958560 213810420 395841880 526780100 898267760 1847029860
(x div (((loop(\(x,i).(x * 2),x,((loop(\(x,i).(((x * 2) * 2) * 2),x,1) + (((x * x) * x) * (x * x))) - 1)) - 1) mod (x + 2)) + 1))
A096863: 0 1 0 1 1 1 0 1 1 1 2 0 1 1 0 1
(((((x + 1) div (if x <= 0 then 1 else ((((if (x mod ((x mod 2) + 2)) <= 0 then 1 else x) mod ((x div (2 + 2)) + 1)) + 1) * 2))) + 1) - (x mod 2)) - 1)
A112219: 1 0 1 1 1 0 1 1 2 1 2 1 3 2 3 3
(if x <= 0 then 0 else ((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + x) + (x mod 2)) + 1))
A295220: 0 3 3 6 5 9 7 11 10 13 11 17 13 17 17 20
(compr(\x.((x + 1) mod (loop(\(x,i).(x * 2),((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1),1) - 1)),x) + 1)
A325327: 1 2 3 5 6 7 11 13 17 19 21 23 29 30 31 37
(compr(\x.(1 - ((((((((if x <= 0 then 1 else x) mod 2) - loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) div 2) + 1) * 2) mod (2 + 1))),x) + 1)
A345917: 1 2 4 5 7 8 9 11 14 16 17 18 19 21 22 23
((loop(\(x,i).(1 - ((x div ((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1)) + 1)),1,(x + 1)) + x) + 1)
A076563: 0 0 2 0 3 0 6 6 5 0 9 0 7 10 14 0
(((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) * 2) - x) + 1)
A134156: 1 2 1 2 ~1 2 ~3 0 ~3 ~2 ~7 0 ~9 ~6 ~7 ~6
((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x * 2) + 1),1) + 1) div (2 + 1)) * 2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A332167: 7 676 66766 6667666 666676666 66666766666 6666667666666 666666676666666 66666666766666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * 2) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166625: 1 8 12 64 20 96 28 512 144 160 44 768 52 224 240 4096
loop(\(x,i).((2 + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166624: 1 6 9 36 15 54 21 216 81 90 33 324 39 126 135 1296
((loop(\(x,i).(x * 2),(((((2 + 2) * (x - 1)) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) mod (2 + 2)) + 1),2) - 1) * (x + 1))
A328567: 3 6 21 12 75 42 105 24 279 150 341 84 403 210 465 48
((if (x mod (2 + 1)) <= 0 then 1 else (((((x mod ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 1)) * 2) + 1)) + 1) mod (x + 1)) div 2) + 2)) * (x + 1))
A231407: 1 4 6
A143174: 1 4 6 4 15 12 7 24 27 10 33 36 13 42 45 16
((if ((x div (0 - 2)) mod 2) <= 0 then (1 - ((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * 2) mod (2 + 1))) else 0) + 2)
A136165-A134193: 1 2 2 1 2 2 2 1 1 2 2 3 2 2 2 1
((((if x <= 0 then 2 else ((loop(\(x,i).((((((x * x) + (x div 2)) div (2 + 1)) + 1) div (2 + 1)) + 1),2,x) div (2 + 1)) + 1)) div 2) + 1) div 2)
A017842: 1 0 0 0 0 1 1 1 1 1 2 3 3 4 5 7
(((loop(\(x,i).(loop(\(x,i).(x - ((x - (((2 - ((x div 2) mod 2)) * (x + 1)) mod (2 + 1))) div 2)),2,x) + x),(x + 1),1) div 2) + 1) div 2)
A052337: 1 1 1 2 2 3 5 6 8 10 13 17 21 27 34 42
((x + 1) div (if x <= 0 then 1 else ((((((loop(\(x,i).(x div (2 - ((x - (x div ((2 + 2) * 2))) mod 2))),x,x) + 1) div 2) + 1) div 2) + 1) * 2)))
A345138: 1 0 0 1 1 1 1 1 1 2 1 2 1 3 1 2
(if x <= 0 then 1 else (((((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) div 2) * (2 + 1)) div 2) + 1) * 2))
A328721: 1 2 2 4 2 4 2 8 4 4 2 8 2 4 4 14
(((x + 1) div (((loop(\(x,i).(x * 2),x,(2 - (((loop(\(x,i).(x div ((x mod 2) - 2)),x,x) + 2) div 2) mod 2))) mod (x + 1)) div 2) + 1)) + 2)
A182258: 3 4 5 6 7 4 5 10 5 5 13
(((((((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then ((if x <= 0 then 0 else (x + 2)) + 2) else 0) + 1) * (2 + 1)) div 2) div 2) + 1) div 2)
A133109: 1 0 3 0 0 4 0 0 0 5 0 0 0 0 7 0
(((loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),2) - 2)) div 2) div ((((2 + 2) * 2) * 2) - 1)) div 2)
A332165: 5 656 66566 6665666 666656666 66666566666 6666665666666 666666656666666 66666666566666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((compr(\x.(0 - loop(\(x,i).((if (x mod (i + 2)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) * 2))),x) * 2) + 1) * ((2 + 2) + 1)) - 2)
A030431: 3 13 23 43 53 73 83 103 113 163 173 193 223 233 263 283
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,loop(\(x,i).((((x + 2) * 2) * ((2 + 2) + 1)) - 1),x,1)) * ((2 + 2) + 1)) div 2)
A332172: 2 727 77277 7772777 777727777 77777277777 7777772777777 777777727777777 77777777277777777 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((2 + 2) * (x + 1)) - 1),1) mod (loop(\(x,i).(x * x),(((2 + 1) * x) + 2),(2 + 1)) - 2))
A132661: 27 823543 4611686018427387903
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) mod ((2 + 1) * 2))
A084302: 1 2 2 3 2 4 2 4 3 4 2 0 2 4 4 5
(x - (((x div ((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod (x + 1)) + 2)) + 1) * ((x mod (2 + 1)) div 2)))
A101684: 0 1 0 3 4 3 6 7 6 9 10 8 12 13 11 15
(loop(\(x,i).(((((x div ((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) + 1)) + 1) * 2) + (x mod 2)) + 1),1,(x + 1)) div 2)
A126594: 2 3 2 5 2 7 2 3 3 11 2 13 4 4 2 17
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) + ((x + 1) * 2))
A140482: 3 6 8 11 12 16 16 20 21 24 24 30 28 32 34 37
(((loop(\(x,i).((2 + 1) * x),(x * 2),1) div (loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + (((x * x) * x) * (x * x)))) + 1) div 2)
A175773: 1 1 1 1 1 1 2 3 4 5 6 8 10 13 17 22
((((x - ((((if x <= 0 then 1 else ((((if (x mod (2 + 1)) <= 0 then 0 else x) + 1) div (2 + 1)) * 2)) + 1) div 2) + 1)) mod ((2 + 2) + 1)) + 2) div 2)
A225332: 2 1 1 2 2 2 1 3 3 2 1 1 1 2 2 3
((((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 1) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2) div 2)
A087427: 2 6 15 30 48 72 99 154 210 270 360 420 483 598 754 870
((((x + 2) - ((x + 1) div (if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2)))) * 2) * 2)
A274919: 4 8 12 16 16 24 20 32 32 40 28 48 32 52 52 64
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),((x * 2) + 1),1) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,((2 + 2) * 2))) div 2)
A332159: 9 595 55955 5559555 555595555 55555955555 5555559555555 555555595555555 55555555955555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div 2)
A138457: 6 81 1875 14406 219615 599781 3006756 5864445 18469506 74264505 110822520 320481531 593409810 789743031 1346791956 2769558831
((((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) * 2) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 2) + 2)
A210497: 4 7 9 15 15 21 21 27 35 33 43 45 45 51 59 65
(((if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * (((2 + 2) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * ((2 + 2) + 1)) div (2 + 2))
A040460: 21 1 20 1 42 1 20 1 42 1 20 1 42 1 20 1
(((((((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).(x * 2),x,2)) + 1) * (2 + 1)) * (2 + 1)) * (2 + 1)) * (2 + 1)) * (2 + 2))
A337313: 0 0 648 3888 16200 58320 195048 625968 1960200 6045840 18468648 56068848 169533000 511252560 1539065448 4627812528
((compr(\x.(1 - (x - (loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) * ((((2 + 2) * 2) * (2 + 1)) - 1)))),x) + 2) * 2)
A242058: 6 8 12 14 18 20 24 30 32 38 42 44 48 52 54 58
((((((((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),x) + 2) * (2 + 1)) div 2) + x) div 2) + x) + 2) div 2)
A196276: 5 7 11 13 15 18 21 23 24 29 30 31 32 33 36 38
(if x <= 0 then 1 else (((((((((if ((x div 2) - 2) <= 0 then x else ((x + 2) + 2)) + 1) div (2 + 1)) * 2) + x) + 1) div (2 + 1)) + (x * 2)) * 2))
A310505: 1 4 10 16 20 26 32 38 42 48 54 58 62 68 74 78
((((loop(\(x,i).(((x * x) * x) * (x * x)),1,loop(\(x,i).((((((2 + 1) * 2) + 1) * x) * 2) + 1),(x + 2),1)) * 2) + 1) * x) div 2)
A054213: 0 225313610074846875 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((((((((if (x mod 2) <= 0 then (if x <= 0 then 0 else ((x * 2) + 1)) else 0) + 1) * (x + 1)) div 2) + 1) div 2) + 2) div 2) * 2) + 1) + x) div 2)
A137442: 1 2 4 3 9 5 16 6 25 7 36 8 49 10 64 11
(((x * 2) * 2) div ((loop(\(x,i).(((loop(\(x,i).((((x * 2) * 2) + 1) * 2),2,(x * 2)) * x) + 1) mod (x + 1)),1,(x + 1)) + x) + 2))
A060502: 0 1 1 2 1 1 1 2 2 3 2 2 1 2 1 2
((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) + (if x <= 0 then 1 else ((x div (if (x mod 2) <= 0 then (2 + 2) else 1)) - 1))) div (x + 2))
A218171: 1 ~1 0 0 0 0 ~1 0 0 0 0 1 0 1 0 0
compr(\x.loop(\(x,i).((x + 1) * x),1,(2 - ((((((loop(\(x,i).(((x mod 2) * x) + (x div 2)),x,x) + 1) div 2) div 2) + 1) div 2) * (2 + 1)))),x)
A039501: 5 7 9 10 13 14 18 19 20 26 27 28 35 36 38 40
(loop(\(x,i).((x + 2) - ((1 - x) div (loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) + 1))),x,1) + x)
A311312: 1 4 8 12 16 21 26 31 36 40 44 48 52 56 60 64
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) + loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x))
A128139: 1 1 2 1 3 3 1 4 5 4 1 5 7 7 5 1
(((loop(\(x,i).(((loop(\(x,i).((((x mod 2) + x) * (2 + 2)) + 1),x,0) + (x * 2)) + 1) + (x mod 2)),(x - 1),(x mod 2)) + 2) + x) + x)
A062621: 2 5 7 701
loop(\(x,i).(((((((((((x div 2) div (((2 + 1) * 2) + 1)) + x) * (2 + 2)) div (2 + 1)) + 1) + x) + 2) * 2) div (2 + 1)) - 1),x,0)
A202278: 0 1 2 3 5 8 13 21 34 55 89
A132636: 0 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987
((if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2) else 0) + 1)
A131843: 1 3 3 5 1 5 7 1 1 7 9 1 1 1 9 11
((x mod ((x mod (((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod ((x mod ((2 + 2) * (2 + 1))) + 1)) + 1)) + 1)) + 1)
A084310: 1 2 3 4 1 2 1 4 3 10 1 2 1 2 3 2
((x mod ((x mod ((x mod ((((((if (x mod (2 + 2)) <= 0 then 0 else 2) * 2) * (((2 + 1) * 2) + 1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A079893: 1 2 3 2 1 6 1 2 1 10 1 6 1 2 15 2
(loop(\(x,i).((x - (x div ((2 + 2) + 1))) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) - 1)
A299904: 0 0 0 0 1 0 0 3 3 0 0 7 13 7 0 0
((if x <= 0 then 0 else ((((((((((x - (x div (2 + 1))) div (2 + 1)) + 1) * ((x div 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A039730: 1 2 2 2 3 3 4 4 4 4 5 5 6 7 8 8
(((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + (if x <= 0 then 0 else 1)) mod ((x mod (((2 + 2) * (2 + 1)) - 1)) + 1))
A328919-A267115: 0 1 1 2 1 1 1 3 2 1 1 0 1 1 1 4
((x mod ((((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) - 1) * (x + 1)) div 2) - 1) mod (x + 1)) + 1)) + 1)
A340079-A323072-A055032: 1 1 1 4 1 3 1 8 9 5 1 12 1 7 15 16
loop(\(x,i).i,((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((x div (2 + 1)) + 1) div 2) + 1)),1)
A154218: 1 1 1 1 2 1 1 4 4 1 1 9 12 9 1 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1)) + 1)
A112739: 1 1 1 1 2 1 1 3 2 1 1 4 5 2 1 1
((((x div ((x mod (((loop(\(x,i).(x * 2),x,(((1 - x) mod (2 + 1)) - (x mod 2))) - 1) mod (x + 1)) + 1)) + 1)) + 1) div (2 + 1)) + 1)
A319522: 1 1 2 1 1 2 3 1 4 1 1 2 5 3 2 1
((loop(\(x,i).(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1,(x + 1)) div (2 + 1)) + 1)
A275420: 1 1 1 1 1 1 2 2 1 1 2 3 2 1 1 5
loop(\(x,i).((((x * 2) * 2) * 2) * ((2 + 2) + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176644: 1 1 1 1 40 1 1 1600 1600 1 1 64000 2560000 64000 1 1
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176643: 1 1 1 1 21 1 1 441 441 1 1 9261 194481 9261 1 1
loop(\(x,i).(((x * 2) mod (((2 + 1) * 2) + 1)) + 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A261790: 1 1 1 1 4 1 1 3 3 1 1 8 4 8 1 1
loop(\(x,i).((x - ((2 - (i mod (2 + 2))) div 2)) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A333157: 1 1 1 1 2 1 1 4 4 1 1 10 18 10 1 1
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 2)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A176641: 1 1 1 1 28 1 1 784 784 1 1 21952 614656 21952 1 1
loop(\(x,i).(((2 mod ((x div (2 + 2)) + 1)) + x) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A155971: 1 1 1 1 2 1 1 4 4 1 1 8 20 8 1 1
(((((loop(\(x,i).(x * x),1,((x mod (((((x div 2) + 2) + 2) mod ((x div (2 + 1)) + 1)) + 1)) + 1)) div 2) + 1) * 2) div (2 + 1)) + 1)
A069290: 1 1 1 3 1 1 1 3 4 1 1 3 1 1 1 7
(if x <= 0 then 2 else ((((((((((((x mod (2 + 2)) + 2) * (2 + 1)) mod (x + 1)) + 2) div (2 + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A194822: 2 2 1 2 2 2 2 3 2 3 2 2 2 3 3 3
(((((((((loop(\(x,i).(((((x + 2) * x) div (2 + 1)) + x) + (x * 2)),x,1) - 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A326973: 1 1 3 19 1243
(if x <= 0 then 0 else ((((((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * ((x div 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1))
A218027: 0 1 1 1 1 1 1 1 1 1 1 1 2 3 5 7
(if x <= 0 then 1 else (((((((2 - ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2)) div 2) mod (x + 1)) + 2) * 2) div (2 + 1)) - 1))
A265117: 1 1 0 1 0 0 1 0 0 0 1 0 8 0 0 1
((((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1))) * 2)) + x) + 2) * 2) div (2 + 1)) - 1)
A315696: 1 6 12 17 23 27 33 38 44 50 56 62 67 73 77 83
((((((if x <= 0 then 1 else ((((x * 2) * 2) * 2) - ((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2))) + x) + 2) * 2) div (2 + 1)) - 1)
A315548: 1 6 11 17 23 29 35 41 47 53 58 64 70 75 81 87
((((((if x <= 0 then 1 else ((((x * 2) * 2) - ((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2)) * 2)) + x) + 2) * 2) div (2 + 1)) - 1)
A315539: 1 6 11 17 23 29 33 39 45 51 56 62 68 73 79 85
loop(\(x,i).(x * x),1,(1 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((2 - x) div 2) * 2) div (2 + 1)) + 1))))
A189150: 1 1 1 1 1 1 1 4 4 1 1 16 49 16 1 1
(((((((if x <= 0 then 1 else (((((x mod 2) + x) + 1) div ((2 + 2) + 1)) + ((x * 2) * (2 + 1)))) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A314210: 1 5 11 17 22 27 33 38 43 49 55 60 65 71 77 82
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - ((if x <= 0 then 1 else (2 - (x mod ((2 + 2) + 1)))) + 1))) div 2) + 1)
A249488: 1 1 1 1 3 1 1 4 5 1 1 5 12 7 1 1
(((x * x) div (1 - ((x div ((0 - 2) - 1)) - ((((loop(\(x,i).(x - (x div ((0 - 2) - 1))),x,1) + 1) div (2 + 1)) + 1) * 2)))) + 1)
A341166: 1 1 1 2 2 3 3 4 4 4 4 4 3 3 3 3
((loop(\(x,i).((((2 + 2) + 1) * i) + x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) + 1)
A177944: 1 1 1 1 4 1 1 9 9 1 1 16 26 16 1 1
(((x + 1) div ((((((x + 1) div ((if (x mod ((((x - 1) * x) mod ((2 + 2) * 2)) + 1)) <= 0 then 2 else 0) + 1)) + 1) div 2) + 1) * 2)) + 1)
A071891: 1 2 1 1 1 2 1 1 2 2 1 1 1 1 2 3
((((((((((((loop(\(x,i).((((i + 1) div 2) * x) + 1),x,0) - 1) * (x - 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1)
A006249: 1 1 1 2 2 6 17 79
((2 + 2) - (((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2) - 1))
A305394: 5 4 5 3 5 4 5 5 4 5 3 5 4 5 4 5
(1 - ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1)))
A336201: 1 1 1 1 0 1 1 ~1 0 1 1 ~2 ~3 0 1 1
loop(\(x,i).i,((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) * 2) div (2 + 1)) * 2),1)
A143188-A141540-A132046: 1 1 1 1 4 1 1 6 6 1 1 8 12 8 1 1
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (((2 + 2) * (2 + 1)) - 1)) * 2) - 1) div (((2 + 1) * 2) + 1))
A097426: 6 9 15 21 34 40 53 59 72 91 97 116 128 135 147 166
((((loop(\(x,i).((x * 2) * 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1) div (2 + 1)) * ((x div 2) + 1)) div 2) + 1)
A137896: 1 1 1 1 2 1 1 3 3 1 1 4 18 4 1 1
((((loop(\(x,i).((x * x) * x),1,((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) * ((x div (2 + 1)) + 1)) div 2) div 2) + 1)
A298444: 1 1 1 1 1 1 1 1 1 1 1 2 11 2 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (if (x mod (2 + 1)) <= 0 then 2 else 1)) * 2) * 2) + 1)
A081578: 1 1 1 1 5 1 1 9 9 1 1 13 33 13 1 1
(((((((x - (((0 - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) div 2) div 2)) * (x + 1)) div 2) + 1) div 2) div 2) + 1)
A002877: 1 1 2 3 6 13 35 116
(if x <= 0 then 0 else ((((((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + 1) * ((x div (2 + 2)) + 1)) div 2) div 2) + 1))
A209062: 0 1 1 1 1 2 1 1 1 2 1 3 2 3 3 2
loop(\(x,i).i,((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2) * (2 + 1)) div 2) * 2),1)
A283795: 1 1 1 1 2 1 1 6 6 1 1 8 14 8 1 1
(((x * 2) + 1) mod (if (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) <= 0 then ((x div (2 + 2)) + 2) else 1))
A145677: 1 1 1 1 0 2 1 0 0 3 1 0 0 0 4 1
(if x <= 0 then 0 else (((0 - 2) mod (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2))) + 1))
A128966-A055907: 0 1 1 1 2 1 1 4 4 1 1 6 10 6 1 1
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) mod (((x + 1) mod (2 + 2)) + 1))
A344478: 0 1 1 0 1 2 1 0 0 2 1 0 1 2 2 0
(((((((((loop(\(x,i).(((i * x) * (2 + 2)) - (x mod 2)),x,1) * 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div ((2 + 2) + 1))
A245896: 1 2 14 165 2639
loop(\(x,i).((((2 + 2) + 1) * x) * 2),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1)
A178166: 10 10 10 10 100 10 10 1000 1000 10 10 10000 1000000 10000 10 10
(2 - ((((if x <= 0 then 2 else (((((x + 1) div 2) + 1) mod ((((x mod (2 + 1)) div 2) + 1) * ((x mod 2) + 1))) + 1)) div 2) + 1) mod (2 + 1)))
A316771: 0 1 1 0 1 1 1 0 0 1 1 2 1 1 1 0
(((x mod (((((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 1 else 2) * ((x mod 2) + 1)) + 1) mod (x + 1)) + 2)) + 1) div (2 + 1))
A319662: 0 0 0 1 1 0 1 0 1 1 1 1 0 2 1 0
(((((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(x * x)) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) mod (2 + 1))
A287146: 1 1 0 1 0 0 1 1 0 0 0 1 1 2 1 1
((((if x <= 0 then 1 else ((((((x - ((x * 2) div (1 - ((2 + 2) * 2)))) * 2) div (2 + 1)) + x) + (x * 2)) * 2)) * 2) + 1) div (2 + 1))
A137002: 1 5 11 15
A314040: 1 5 11 15 21 25 31 36 41 47 51 57 61 67 72 77
((((((((loop(\(x,i).(((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)) + 1),x,0) + 1) * 2) * x) + 1) * x) div 2) + 1) div (2 + 1))
A296782: 0 1 63 6216
((((((loop(\(x,i).(((((x * 2) * 2) * 2) * (2 + 1)) + 1),2,(x * x)) - 1) div (x + 1)) * 2) + 1) * ((x * 2) + 1)) mod (2 + 1))
A116852: 1 0 1 1 0 0 0 0 2 1 0 1 0 0 0 0
(((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((((((x div 2) mod 2) + x) div 2) * 2) + x) + 1) div (2 + 1))) - ((x + 1) div (2 + 1)))
A315260: 1 6 10 15 20 25 30 35 40 45 50 54 60 66 70 75
((((((x - ((1 - (x div 2)) div (2 + 1))) mod (2 + 1)) + x) div (2 + 1)) + (if x <= 0 then 1 else ((x * 2) * 2))) + ((x + 1) div (2 + 1)))
A310393: 1 4 10 14 19 23 28 33 37 42 46 52 56 60 66 70
((((((((2 - (x div 2)) mod ((2 + 1) * 2)) + x) div (2 + 1)) + x) div 2) + (if x <= 0 then 1 else ((x * 2) * 2))) + ((x + 1) div (2 + 1)))
A313707: 1 5 10 15 19 25 30 35 41 45 50 55 60 65 70 75
((((((x div ((x mod (((loop(\(x,i).(x * 2),x,(x div (2 - (x mod 2)))) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A335904: 0 0 1 0 2 1 2 0 2 2 4 1 4 2 3 0
(((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((x div (2 + 2)) + 1) * 2)) + 1) div 2) + 1) * 2) div (2 + 1))
A255337: 0 1 1 1 2 1 1 2 2 2 1 1 1 2 3 2
(((((((loop(\(x,i).((x - 1) * 2),x,(((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A279792: 0 0 0 1 1 1 0 1 2 1 0 2 1 1 2 1
(1 - (((((((x - (loop(\(x,i).(x - ((((x div (2 + 1)) - x) - 1) div (2 + 1))),x,1) * 2)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)))
A018120: 1 1 1 1 2 3 3 4 5 7 9 11 13 17 21 27
((((((((((loop(\(x,i).((((x * 2) + 1) * 2) * 2),(x + 1),0) - 1) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2) mod (2 + 1))
A026610: 0 2 0 2 1 1 1 0 1 2 1 1 1 0 2 0
((((((((((((loop(\(x,i).(x div (2 - (x mod 2))),x,x) * 2) mod (x + 1)) + 2) + x) * x) div 2) + 1) div 2) div 2) + 1) div 2) mod (2 + 1))
A105700: 0 0 1 1 2 1 2 1 0 2 2 1 0 1 2 2
(loop(\(x,i).(x * x),1,((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * 2)) - (2 + 1))
A141596: 1 1 1 1 13 1 1 33 33 1 1 61 141 61 1 1
(((((((loop(\(x,i).((x + 1) * x),1,((((((x * 2) + 1) * 2) * 2) + x) * 2)) div 2) div (2 + 1)) + 1) + x) + 2) * 2) * (2 + 1))
A304165: 90 726 2010 3942 6522 9750 13626 18150 23322 29142 35610 42726 50490 58902 67962 77670
((((((((((((loop(\(x,i).(x * 2),x,(x + 2)) - 1) div (2 + 1)) + x) + 2) + x) * 2) div (2 + 1)) + x) + 1) + x) * 2) mod (2 + 1))
A025883: 1 0 0 0 0 1 0 1 0 1 1 0 1 0 2 1
((((((((((loop(\(x,i).(((x div ((x mod (2 + 2)) + 1)) + x) + 1),x,0) div 2) + 1) div 2) div 2) + 1) + x) + x) + x) + 2) div (2 + 1))
A141340: 1 2 3 4 5 6 7 8 10 12 14 16 18 24 30 36
(if x <= 0 then (x + 1) else (((((((((((x mod ((x div 2) + 1)) div (2 + 1)) * (2 + 1)) + x) + 1) div 2) * 2) + 1) + x) + x) - (2 + 1)))
A222011: 1 2 4 8
A226872: 1 2 4 8 10 14 16 22 26 28 32 34 38 44 46 50
((((((((((((((loop(\(x,i).((x * 2) * 2),(x - 2),x) div 2) + 1) div 2) div 2) + 1) div 2) * 2) + 1) - x) div 2) div 2) + x) div 2) + 1)
A318895: 1 1 1 2 3 8 27 115
(1 - (((((((x - ((((loop(\(x,i).((x div 2) + x),x,2) div 2) div 2) + 1) div 2)) div 2) + 1) * (x + 1)) div 2) + 1) div ((x * 2) + 1)))
A218026: 0 1 1 1 1 1 1 1 1 1 1 2 3 5 7 11
(((((((((x div ((loop(\(x,i).((x * 2) + 1),x,(x mod 2)) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) - 1)
A071338: 0 1 1 1 2 2 2 1 1 2 4 2 4 3 2 1
(compr(\x.(1 - (x mod ((((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) - 1) mod ((x * 2) + 1)) + 1))),x) + 1)
A028741: 2 3 5 6 7 10 11 12 13 14 15 17 18 19 20 22
(compr(\x.(((((((loop(\(x,i).((((2 + 1) * x) + 1) - ((x + 1) div ((2 + 2) + 1))),x,1) + x) div 2) div 2) + 1) div 2) + x) mod 2),x) + 1)
A227194: 1 2 3 4 6 7 9 10 11 12 14 15 16 23 24 25
(((x mod ((x mod ((x mod ((x div (((if ((x + 1) mod (((x div 2) mod 2) + 2)) <= 0 then x else 1) * 2) + 1)) + 1)) + 1)) + 1)) + 1) mod (x + 1))
A304495: 0 1 1 2 1 1 1 2 3 1 1 1 1 1 1 4
(((x mod ((((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) - 1) mod ((x * 2) + 1)) + 1)) + 1) * (x + 1))
A197863-A087321-A087320: 1 4 9 4 25 36 49 8 9 100 121 36 169 196 225 16
((if x <= 0 then 2 else (((((((x mod (x - ((x mod ((2 + 2) * (2 + 1))) + 1))) * 2) + x) + 1) mod ((x div 2) + 1)) div 2) + 1)) mod (x + 1))
A072625: 0 1 1 1 2 1 2 1 3 1 3 1 1 3 3 1
((((((x + 1) * 2) * (2 + 1)) mod (((((((if x <= 0 then 0 else 2) + 2) * 2) * (2 + 1)) + (x mod 2)) + 1) * (2 + 1))) * 2) mod (x + 1))
A084342: 0 0 0 0 0 0 0 0 0 0 0 0 6 12 0 4
((((((loop(\(x,i).((((x + 2) * (x + 1)) div 2) * (x + 1)),1,(((x + 2) * x) + 1)) + 1) div (x + 1)) + x) + 1) * 2) div (x + 1))
A197903: 16 40 124 327 732 1447 2604 4359 6892 10407 15132 21319 29244 39207 51532 66567
((loop(\(x,i).(((x + 1) div 2) * (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) - 1) * 2)
A272626: 0 0 0 0 4 0 0 10 10 0 0 16 28 16 0 0
((loop(\(x,i).(((x div 2) + x) * x),1,((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1) div 2)
A146769: 1 1 1 1 3 1 1 6 6 1 1 12 18 12 1 1
((((x + 1) mod (((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + ((x - 1) mod (2 + 2))) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2)
A278522: 0 0 1 0 0 0 1 1 2 0 1 1 1 0 1 2
(loop(\(x,i).((((x - 1) mod (2 + 1)) + x) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2)
A221768: 0 0 0 0 1 0 0 3 3 0 0 8 16 8 0 0
(if x <= 0 then 1 else (((x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + 1) * 2))
A322327: 1 2 2 4 2 4 2 6 4 4 2 8 2 4 4 8
((x + 1) div (if x <= 0 then 1 else (((((((x div (((x + 1) mod (((x mod ((x mod 2) + 2)) + 1) * 2)) + 1)) + 1) div 2) + 1) div 2) + 1) * 2)))
A178526: 1 1 0 1 1 1 1 1 2 1 1 1 2 3 2 1
((((((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),(x - 2),x) * ((x - 1) div 2)) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A282742: 0 0 0 1 1 4 11 56 198
(if (x - 1) <= 0 then 1 else (((((x + 1) mod (((x div (((((x + 2) * x) mod ((2 + 1) * 2)) + 1) * (2 + 1))) * 2) + 1)) div 2) + 1) * 2))
A248913: 1 1 2 2 4 2 4 2 2 2 6 2 6 4 2 2
((((((((((loop(\(x,i).(x - ((((2 - x) div 2) div (2 + 1)) - 1)),x,1) + 2) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2)
A233693: 1 1 2 3 4 6 8 11 14 18 24 30 38 48 60 75
((((((x + 1) div (((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * 2)) div 2) + 1) * (((x mod 2) * 2) + 1)) div 2)
A318315: 0 1 0 3 0 1 0 4 1 1 0 3 0 1 0 7
(loop(\(x,i).(x * 2),(((x div (((x div 2) div ((x mod (((x mod (2 + 1)) div 2) + 2)) + 1)) + 2)) + (x mod 2)) + 1),1) div ((2 + 1) * 2))
A319164: 0 0 0 1 0 2 0 2 1 2 0 5 0 2 2 5
(((loop(\(x,i).((x * 2) * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) * (x + 2)) div (2 + 1)) + ((2 + 1) * 2))
A100599: 7 14 16 59
(if x <= 0 then 1 else (((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) mod ((x div 2) + 1)) + 2))
A242285: 1 2 3 3 2 3 3 3 2 3 3 3 4 2 3 3
((((((((((if (x mod 2) <= 0 then x else 1) + x) div (2 + 1)) * ((x div ((2 + 2) + 1)) + 1)) + 1) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2)
A029196: 1 0 1 0 1 1 2 1 2 1 4 2 5 2 5 4
((((loop(\(x,i).((((1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) + 1) * x),(x + 1),1) div (2 + 1)) + 1) div 2) + 2)
A098463: 2 3 5 7 167
(((((((x div ((if (((x div 2) * x) mod 2) <= 0 then x else (x mod (2 + 1))) + 1)) + 1) div (2 + 1)) + 1) * (((2 + 1) * 2) + 1)) div 2) div 2)
A091842: 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 10
((((if x <= 0 then 1 else (x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2))) * (((2 + 1) * 2) + 1)) div 2) div 2)
A216677: 1 0 0 1 0 1 0 3 1 1 0 3 0 1 1 5
((((x - (((x - (((if x <= 0 then 1 else ((((((x div 2) mod 2) + x) div 2) + (x * 2)) * 2)) + x) + 2)) * 2) - 1)) * (2 + 1)) div 2) div 2)
A027884: 5 10 20 30 36 43
((((((((((loop(\(x,i).(((2 + 2) + 1) * x),x,(2 + 2)) div (2 + 1)) * 2) div (2 + 1)) + x) + 2) - x) div 2) * (2 + 1)) div 2) div 2)
A276508: 0 2 9 42 208 1041 5208 26042 130209 651042 3255208 16276041 81380208 406901042 2034505209 10172526042
((((((((((x - (((((x div 2) mod 2) - (if (2 - x) <= 0 then x else 0)) div 2) - 1)) + x) + 2) + x) + x) + x) + 2) * (2 + 1)) div 2) div 2)
A189361: 3 7 12 15 20 24 28 32 36 41 45 48 53 57 61 65
(((((x * x) - ((((((((loop(\(x,i).((i * i) + x),(x - 1),x) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) div 2) div 2) + 2)
A341159: 1 1 2 3 4 6 8 9 11 13 14 15 16 16 15 15
(((loop(\(x,i).(x * x),1,((((((x * 2) + 1) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 1)) + 1)) + 1) * 2) + 1)) div 2) div 2) div 2)
A115017: 1 1 3 1 1 6 1 1 3 10 1 6 1 1 15 1
(((((((((if ((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) - 1) <= 0 then x else 0) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) div 2) div 2)
A322841: 0 0 0 0 0 0 1 1 1 0 2 0 3 0 0 5
(2 - ((if x <= 0 then 1 else ((((x - (((2 - (x mod (((x div ((2 + 2) + 1)) * 2) - 1))) div 2) * 2)) + 1) - (x mod 2)) + 1)) mod (2 + 2)))
A194947: 1 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0
(((1 - (x mod (((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * 2) * 2) - 1))) mod ((x + 1) * 2)) mod (2 + 2))
A091959: 1 0 1 1 3 0 1 0 1 0 1 1 3 0 1 1
((((((((((if x <= 0 then (((x + 2) * (2 + 1)) + 1) else 1) + (x * x)) + 2) * (2 + 1)) + 1) * (x * x)) + 2) + 1) * x) * (2 + 2))
A008513: 0 64 728 4032 14896 42560 102024 215488 413792 737856 1240120 1985984 3055248 4543552 6563816 9247680
((((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) * (x + 1)) * x) div 2) div 2)
A088110: 0 1 3 9
A308084: 0 1 3 9 10 30 21 56 54 90 55 198 78 182 210 300
(((if x <= 0 then 1 else ((((((2 - x) mod (((((((x * x) div (2 + 2)) + x) + 1) div 2) div 2) + 1)) + 1) div 2) + 1) * 2)) - (x mod 2)) div 2)
A185216: 0 0 1 1 2 1 2 1 2 1 2 1 3 2 4 3
(if x <= 0 then 1 else (((((((((x * 2) - ((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2)) + 2) + x) * 2) div (2 + 1)) - 1) + x) * 2))
A315345: 1 6 10 16 22 28 34 40 46 52 56 62 68 72 78 84
(if x <= 0 then 1 else ((((((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1)) + x) + ((x + 1) div (2 + 1))) + x) * 2))
A310421: 1 4 10 14 20 26 32 36 42 46 50 56 60 66 72 78
(compr(\x.(((loop(\(x,i).(((x * x) * (x * x)) mod ((((2 + 2) * 2) + 1) * (2 + 1))),2,((x * 2) + 1)) div 2) div 2) div (2 + 1)),x) + 2)
A175904: 2 3 6 8 9 10 12 14 15 16 18 20 21 22 24 27
(((((((((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1) + x) * 2) + 1) mod (x + 1)) + 2) + x) div 2)
A097246: 1 2 3 3 5 6 7 6 5 10 11 9 13 14 15 9
((if (x - 1) <= 0 then 1 else (((((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (x + 1)) div (2 + 1)) + 1) + x) * 2)) mod (x + 2))
A047994: 1 1 2 3 4 2 6 7 8 4 10 6 12 6 8 15
(((((if x <= 0 then 1 else ((((((x * 2) * 2) - (x div (((2 + 1) * 2) + 1))) * 2) div (2 + 1)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A314193: 1 5 11 17 21 27 33 38 43 49 55 59 65 71 76 81
(((((if x <= 0 then 1 else ((((((x div (2 + 1)) mod (2 + 1)) + (x * 2)) div (2 + 1)) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A314231: 1 5 11 17 23 27 33 39 45 50 55 61 67 73 77 83
((((x + 1) div (if ((((x div (((x * 2) mod (2 + 1)) + 1)) mod 2) - (x mod 2)) + 1) <= 0 then ((x + 1) * (2 + 1)) else 1)) + 1) + (x div 2))
A026221-A026214: 2 1 5 6 8 3 11 4 14 15 17 18 20 7 23 24
(((((((((x * 2) - (x div (2 + 2))) + 1) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) * 2) div (2 + 1)) + 1) + (x mod 2))
A228367: 2 4 2 7 2 4 2 12 2 4 2 7 2 4 2 21
(((((((((if ((x + 2) mod ((x mod (2 + 2)) + 1)) <= 0 then 1 else 2) * ((x div 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2))
A106348: 1 0 2 1 1 1 3 2 2 2 2 2 2 2 4 3
(((((((((((loop(\(x,i).(x * 2),(x div 2),(0 - 2)) mod (x + 1)) div 2) + x) + 2) - x) div 2) * 2) + x) div (2 + 1)) + 1) + (x mod 2))
A125748: 1 3 2 3 3 5 4 5 5 7 5 7 5 9 8 7
(((((((((((((((if ((x div 2) - 2) <= 0 then 2 else 1) + x) * x) div 2) + 1) div 2) + 1) div 2) * 2) + 1) + x) + x) div (2 + 1)) + 1) - x)
A327719: 1 1 1 1 2 3 3 3 4 6 7 9 10 12 14 16
(((((loop(\(x,i).(((x * x) * x) mod (((((2 + 2) * 2) * 2) * (2 + 1)) - 1)),2,x) * (2 + 1)) * (2 + 1)) div (x + 1)) + 1) - x)
A068891: 1 4 125 81
((((((((loop(\(x,i).(x * 2),((x mod 2) + 2),(x div 2)) + 1) * (2 + 1)) - 1) * 2) * (x + 1)) + 2) div (((x div 2) mod 2) + 1)) + x)
A242488: 6 11 45 108
compr(\x.((((((((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) * (2 + 1)) div 2) + 1) div 2) + 2) div 2) div 2) - 1) - x) mod (2 + 1)),x)
A190685: 3 6 7 10 14 18 21 22 25 29 33 36 40 44 47 48
((((2 - (x mod (((((if (x mod (2 + 1)) <= 0 then (((2 + 1) * 2) + 1) else (x div 2)) + x) div (2 + 1)) mod (2 + 1)) + 1))) + x) + 2) + x)
A272475: 4 6 8 10 11 12 16 18 20 22 23 24 28 30 32 33
(((1 - ((((((x div ((loop(\(x,i).(x - ((1 - (x * 2)) * 2)),x,1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))) + x) + x)
A184823: 1 3 4 7 8 10 11 15 16 18 19 22 23 25 28 30
((((((((((loop(\(x,i).((((i + 1) * x) div ((x div (2 + 2)) + 2)) + x),x,1) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) + x)
A134918: 1 4 7 11 15 20 26 32 39 47 55 63 72 82 92 102
(((if x <= 0 then 1 else (((((1 - (((((((x * 2) - 1) mod (((2 + 1) * 2) + 1)) + 1) + x) div 2) div 2)) + x) div 2) + x) * 2)) + x) + x)
A315202: 1 6 10 14 20 24 28 32 38 42 46 52 58 62 66 72
((x div ((x mod ((x mod ((((x - ((x mod (((2 + 2) + 1) * 2)) * (((2 + 2) * 2) + 1))) + 1) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A078268: 1 1 3 2 1 3 7 4 9 1 11 3 13 7 3 4
((x mod (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x mod (2 + 1)) mod 2) + 1)) + 1)) + 1)
A192650: 1 1 1 1 2 1 1 3 3 1 1 4 3 7 1 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) mod ((x mod ((x mod ((2 + 2) * 2)) + 1)) + 1)) + 1)
A207974: 1 1 1 1 2 1 1 3 1 1 1 4 2 2 1 1
((((((x * 2) div (2 + 1)) * 2) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1)
A111604: 1 1 1 1 2 1 1 1 3 1 1 4 3 2 1 1
((((x div 2) + 1) mod (((((((((((2 + 2) * 2) * ((2 + 2) + 1)) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A256972: 1 1 1 1 1 2 1 1 2 1 1 1 1 2 3 3
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)) * ((((x + 1) div 2) div 2) + 1)) + 1)
A176284: 1 1 1 1 7 1 1 19 19 1 1 37 49 37 1 1
(((((((((((x + 1) * x) * (2 + 1)) + 1) * ((x * 2) + 1)) * (x + 1)) div 2) div (2 + 1)) + 1) mod (((2 + 2) * 2) + 1)) + 1)
A097881: 2 9 4 3 9 4 2 7
((x mod ((((((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * (2 + 1)) div 2) * x) mod ((2 + 2) * 2)) + 1)) + 1)
A344877: 1 1 1 1 1 6 1 1 1 2 1 2 1 2 1 1
(2 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((x * x) + 2) * 2) div (2 + 1)) + 1)) mod (2 + 1)) - 1))
A337265: 3 3 3 3 2 3 3 1 3 3 3 1 2 2 3 3
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * (((2 + 1) * 2) + 1)) div (2 + 1)) + 1)
A056152: 1 1 1 1 3 1 1 5 5 1 1 8 17 8 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x - 1) mod (2 + 2)) + 1)) div (2 + 1)) + 1)
A067049: 1 1 1 1 2 1 1 3 3 1 1 4 6 2 1 1
(((1 - ((((x div (((x mod (((x mod (((x mod 2) + 2) + 1)) + 1) * 2)) + 1) * (2 + 1))) + 1) * 2) mod (2 + 1))) mod (2 + 1)) - 1)
A089509: 1 1 1 1 ~1 1 0 1 1 ~1 ~1 1 ~1 0 ~1 1
(((((((((((((((x div 2) * (x div 2)) div 2) + x) div 2) + 1) - (x div 2)) + 2) - (x mod 2)) + 1) div 2) + 1) * 2) div (2 + 1)) - 1)
A213424: 1 0 1 0 1 1 1 1 2 1 3 2 3 3 5 4
(((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * ((x div 2) + 1)) div 2) * 2) * (2 + 1)) + 1)
A081580: 1 1 1 1 7 1 1 13 13 1 1 19 61 19 1 1
(((((((((((((x div (2 + 1)) div ((x div (2 + 2)) + 1)) * 2) + x) + 2) * 2) div (2 + 1)) + x) + 2) + x) * 2) div (2 + 1)) - 1)
A183988: 1 3 4 7 8 9 12 14 15 17 19 21 23 25 27 28
(((((x * 2) + 1) div ((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) - (x mod 2)) + 1) + 1)) mod (x + 1)) + 1)
A279513-A000026: 1 2 3 4 5 6 7 6 6 10 11 12 13 14 15 8
(((((((((1 - (((x mod 2) - ((x - (((x + 2) * x) div (2 + 1))) div 2)) div 2)) + x) + x) + x) div 2) div 2) + 1) mod (x + 1)) + 1)
A240676: 1 1 3 4 5 5 6 6 7 7 8 8 8 8 9 9
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((x - 1) div (2 + 1)) - 1) mod (2 + 1)) + 1)) + 1) * 2) - 1)
A277930: 1 1 1 1 3 1 1 5 5 1 1 7 13 3 1 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * ((x mod ((2 + 2) + 1)) + 1)) div 2) + 1)
A124234: 1 1 1 1 3 1 1 4 5 1 1 4 11 7 1 1
(((((((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) + x) mod (2 + 1)) - 1) mod (x + 1)) + 1) div 2) div 2) + 1) div 2) + 1)
A143421: 1 1 1 2 1 1 2 1 2 2 1 3 1 1 1 3
((((((((((((((x + 2) * (x + 1)) div 2) div (2 + 1)) + 1) + ((2 + 1) * x)) * (x + 2)) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A071424: 1 2 3 5 8 11 15 20 26 33 41 50 60 71 84 98
(((((((x mod ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod (x + 1)) + 1)) * (2 + 1)) div 2) div 2) + 1) div 2) + 1)
A195825: 1 1 1 2 1 1 3 1 1 1 5 2 1 1 1 7
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) div 2) + 1) div 2) * (((((x + 1) div 2) div 2) + 1) div 2)) + 1)
A171246: 1 1 1 1 2 1 1 3 3 1 1 7 13 7 1 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((x + 1) div 2) div 2) * (2 + 1)) - 1)) * (2 + 1)) div 2) + 1)
A132789: 1 1 1 1 4 1 1 8 8 1 1 13 25 13 1 1
compr(\x.((x div (((2 + 1) * 2) + 1)) mod 2),(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1))
A176700: 1 1 1 1 3 1 1 5 5 1 1 14 16 14 1 1
((((((((x div (2 + 1)) + 2) mod (((x * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * ((2 + 2) + 1)) div 2) * (2 + 1)) div 2) + 1)
A298575: 1 1 1 1 4 1 1 4 4 1 1 8 1 8 1 1
((((((1 - (((x + 1) mod (((1 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) + 2)) div 2)) + x) div 2) + 1) div 2) + 1)
A182210: 1 1 2 2 2 3 2 3 3 4 3 4 4 4 5 3
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((2 + 2) * (2 + 1)) + 1)) div 2) div 2) + 1)
A157172: 1 1 1 1 4 1 1 7 7 1 1 10 14 10 1 1
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * ((x div (2 + 1)) + 1)) div 2) div 2) + 1)
A124976: 1 1 1 1 1 1 1 2 2 1 1 4 9 4 1 1
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x div 2) + 1) div 2)) + 1) div 2) * 2) + 1)
A176481: 1 1 1 1 3 1 1 5 5 1 1 11 13 11 1 1
((((((((((((((x + 2) * (x + 2)) div 2) - (x mod 2)) + 1) * (x + 1)) div ((2 + 2) + 1)) + 1) div 2) div 2) + 1) div 2) div 2) + 1)
A199120: 1 1 1 1 2 3 4 5 7 8 11 13 17 20 25 30
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((2 + 2) * 2) * 2) + 1)) div 2) div 2) + 1)
A296128-A183450-A157174: 1 1 1 1 5 1 1 9 9 1 1 13 18 13 1 1
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (x - (x div (2 + 2)))) + 1) div 2) div 2) + 1)
A306326-A156006: 1 1 1 1 2 1 1 4 4 1 1 8 10 8 1 1
((((((((x + 1) mod ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) + (x + 1))) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1)
A334215: 1 1 2 1 1 3 1 1 1 4 1 1 1 2 5 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - ((((x + 1) div 2) div 2) * 2))) * (2 + 1)) div 2) div 2) + 1)
A175105: 1 1 1 1 2 1 1 3 4 1 1 4 10 6 1 1
((((((((1 - (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))) mod ((x + 2) + 1)) * (2 + 1)) + 1) mod (x + 1)) div 2) div 2) + 1)
A202084: 1 1 1 1 2 2 1 1 1 2 1 1 2 4 2 1
((((((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) * 2) * 2) * 2) - 1)
A141175-A007522: 7 23 31 47 71 79 103 127 151 167 191 199 223 239 263 271
((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) - (x div ((((2 + 2) * 2) * 2) - 1)))
A216219-A180181: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 0
(((((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) * 2) + 1) * 2) * (((2 + 2) * 2) + 1))
A059137: 18 54 18 90 18 54 18 126 18 54 18 90 18 54 18 162
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)))
A059036: 0 1 1 2 3 2 3 5 5 3 4 7 8 7 4 5
((1 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x - (x mod ((2 + 2) + 1))) div 2) + 1))) mod ((2 + 2) + 1))
A283798: 1 1 1 1 0 1 1 3 3 1 1 0 4 0 1 1
((((((((((((x div (2 + 2)) + 1) div 2) * 2) * (x + 1)) div (2 + 1)) + 1) div (2 + 1)) + 1) div 2) + 1) + (x div ((2 + 2) + 1)))
A120506: 1 1 1 1 2 3 3 3 3 3 4 5 6 6 7 8
(((((((((((((x * x) div (2 + 2)) * (x - 1)) div 2) div (2 + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) + (x div ((2 + 2) + 1)))
A304885: 1 1 1 1 2 3 3 4 5 6 8 10 12 14 17 21
((((((((x mod ((((((2 + 2) * (2 + 1)) * (2 + 1)) - 1) mod (x + 1)) + 2)) + 1) * 2) + 1) * 2) div (2 + 1)) + 1) div (2 + 1))
A113924: 1 1 1 2 1 3 1 1 4 1 1 5 1 2 1 1
(1 - (((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) mod ((2 + 2) * 2)) + 1) div 2) + 1) * 2) div (2 + 1)))
A110503: 1 1 1 1 ~1 1 1 ~2 1 1 1 ~1 1 ~1 1 1
(1 - ((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) mod (((x * x) div (2 + 2)) + 1)) mod (x + 1)) div 2) mod (2 + 1)))
A128190: 1 1 1 0 0 1 0 0 0 1 0 0 ~1 0 1 0
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((2 + 1) * 2) + 1)) + 2) * 2) div (2 + 1))
A144395: 1 1 1 1 6 1 1 10 10 1 1 15 20 15 1 1
((((((((((((((2 + 2) * 2) + x) + 1) * (2 + 1)) + 2) * 2) * 2) div (((2 + 1) * 2) + 1)) + 1) * 2) * 2) * 2) div (2 + 1))
A295493: 45 50 56 58
(x - ((((((((((x + 1) div ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) + (2 + 1)) + x) div 2) + 2) + 2) * 2) + (2 + 1)))
A291575: ~15 ~16 ~15 ~16 ~15 ~18 ~15 ~16 ~15 ~16 ~15 ~18 ~15 ~16 ~15 ~16
(((x - ((((((x - ((x div (0 - ((((x * 2) mod ((2 + 2) + 1)) + 2) * 2))) mod 2)) mod 2) * 2) - 1) - x) div 2)) + 2) mod (2 + 1))
A287438: 0 1 2 1 2 0 2 1 0 1 2 0 2 1 0 0
(((((((((((((((((x + 1) * x) div 2) + 1) div 2) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + x) * 2) mod (2 + 1))
A084934: 0 1 0 1 1 0 2 2 1 0 2 2 2 1 0 2
(1 - (((((((((((((2 + 2) + 1) * 2) * 2) div (x + 1)) + 1) mod (((2 + 2) + 1) * 2)) + 1) + 2) + 2) + x) * 2) mod (2 + 1)))
A016242-A015780-A015472-A015318-A011642: 1 ~1 0 0 0 0 0 1 ~1 0 0 1 ~1 0 1 ~1
((((((((((((((x + 2) * x) div 2) * (2 + 1)) + 1) * (x + 2)) div (2 + 1)) + 1) div (2 + 1)) * 2) + 1) + x) + x) mod (2 + 1))
A258124: 1 2 2 1 2 1 2 2 0 0 2 2 1 2 0 0
(((((((((x * x) div ((((((x div ((2 + 2) * 2)) + 1) * 2) * (2 + 1)) + x) + 1)) + 1) * 2) div (2 + 1)) + 1) + x) * 2) - 1)
A111622: 1 3 5 7 11 15 17 19 21 23 27 31 33 35 39 43
((((((((((((((((x * x) div (2 + 1)) + x) * ((x div 2) + 2)) div 2) div 2) + 1) div 2) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1)
A229769: 1 2 3 4 5 6 7 8 10 11 14 15 18 20 23 25
(((x + 1) * 2) - (compr(\x.((((1 - ((((x - (x div (2 + 2))) div 2) + ((x + 1) * 2)) * 2)) mod (x + 1)) mod (2 + 1)) - 1),x) + 1))
A071754: 1 2 2 3 4 5 6 7 7 7 7 7 8 9 10 10
(compr(\x.(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) mod (((2 + 2) * 2) + 1)) + 1) mod (x + 1)) - 1),x) + 1)
A198323: 1 2 3 4 5 6 7 8 9 10 11 15 16 19 22 25
((((((((((((((2 + 2) * 2) * 2) * 2) - 1) * (x + 1)) div (((2 + 2) * 2) + 1)) * 2) + x) + 1) * 2) div (2 + 1)) + x) + 1)
A190365: 5 11 18 24 31 36 43 49 56 62 67 74 80 87 93 100
compr(\x.((((x mod ((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 2)) + 1) mod (x + 1)) - 1),(x + 1))
A230374: 1 2 3 4 6 8 10 12 15 16 18 20 24 28 30 36
(((((((((((((x + 2) * (x + 2)) * ((x * 2) + 1)) - 1) * (x + 1)) div 2) div (2 + 1)) div 2) + 1) div 2) * 2) + 1) div (x + 1))
A227016: 1 2 7 14 27 45 69 101 141 191 252 323 408 506 618 746
(((((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1)) div 2) + (x mod 2)) + 1) mod (x + 1))
A182850: 0 0 1 2 1 3 1 2 2 3 1 4 1 3 3 2
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div ((0 - (x mod ((2 + 2) + 1))) - 1)) * 2) + 1)) div 2))
A214986: 1 1 1 1 2 1 1 4 3 1 1 7 8 5 1 1
((2 + 1) - ((((((x + 1) div (((x + 1) div (((x - (((x - 1) div 2) div (2 + 1))) mod (2 + 1)) + 1)) + 2)) + 1) div 2) + 1) * 2))
A123271: 1 1 ~1 1 ~1 ~1 1 1 ~1 ~1 1 ~1 ~1 ~1 1 ~1
(((((((((((((((x + 1) div (2 - (x mod 2))) div 2) div 2) + 1) mod 2) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) + 1) div 2) + 1) * 2)
A049111: 2 4 4 4 4 4 4 6 4 6 4 4 4 4 6 8
(x - ((((((x * x) - ((((((x - (((1 - x) * 2) * (2 + 1))) * x) - 1) * x) * 2) div (2 + 1))) * (2 + 1)) div 2) + 1) div 2))
A307253: 0 0 14 62 166 346 624 1020 1556 2252 3130 4210 5514 7062 8876 10976
((((x + 1) div ((((((((((x div (((2 + 1) * 2) + 1)) mod 2) + 1) + 2) + 2) + 2) * (2 + 1)) - 1) mod (x + 1)) + 2)) + 1) div 2)
A125184: 0 1 0 1 1 1 0 0 1 1 2 0 1 1 1 1
((((((((((((2 + 1) * 2) * (2 + 1)) + 1) * (x + 1)) mod (((2 + 2) * (2 + 1)) - 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2)
A190698: 3 2 1 4 3 2 1 4 3 2 0 3 2 1 4 3
(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((2 - (x mod ((2 + 2) + 1))) * x) div 2) div 2) + 1)) div 2))
A327785: 1 1 1 1 2 1 1 1 2 1 1 0 0 3 1 1
(((x div (2 + 1)) + 1) div (((((x div 2) div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 1) * (2 + 1)) div 2))
A113503: 1 1 0 2 0 0 0 3 1 1 0 1 0 0 0 6
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x - (x mod ((2 + 2) + 1))) div 2) + 1)) + 1) * (2 + 1)) div 2)
A056241: 1 1 1 1 3 1 1 6 6 1 1 10 19 10 1 1
(((1 - (((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x div ((0 - (x mod ((2 + 2) + 1))) - 1)))) * (2 + 1)) div 2)
A162430: 1 1 1 1 3 1 1 6 4 1 1 10 13 7 1 1
((((x + 1) div (((((x * 2) + 1) div ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + (2 + 1))) * 2) + 1)) * (2 + 1)) div 2)
A343875-A343874: 1 0 1 0 1 1 0 1 1 1 0 1 3 3 1 0
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x div 2) + 1) div 2)) + 1) * (2 + 1)) div 2)
A063394: 1 1 1 1 3 1 1 7 7 1 1 15 19 15 1 1
((((x div ((x mod ((x div (((((x - 2) mod (2 - (x div ((0 - 2) - 1)))) mod 2) + (x mod 2)) + 1)) + 2)) + 2)) + 1) * (2 + 1)) div 2)
A333752: 1 1 1 3 1 3 1 3 4 3 1 6 1 3 4 3
((((((1 - (x mod (1 - ((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1))))) * 2) + 1) div (2 + 1)) * (2 + 1)) div 2)
A180979-A174032: 1 1 1 1 3 1 1 4 4 1 1 7 10 7 1 1
(((((((((((((((x * 2) - (x mod 2)) + 2) * 2) + 1) * 2) + 1) * 2) + 1) * (2 + 1)) div 2) - (x mod 2)) + 1) * (2 + 1)) + 2)
A039555: 107 140 251 284 395 428 539 572 683 716 827 860 971 1004 1115 1148
(x mod ((((((((((((((2 + 2) * 2) * (2 + 1)) - 1) mod (x + 1)) + 2) * 2) + 1) div (x + 1)) + 2) + 2) + 2) * (2 + 1)) div 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A047813: 0 1 2 3 4 5 6 7 8 9 1 11 2 3 4 5
(((((((((((x * x) mod (((((x * 2) div (2 + 1)) * 2) * 2) - 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2)
A029170: 1 0 1 1 1 1 2 1 2 2 2 3 4 3 5 5
(((x - ((1 - (((((((x * x) div (((x div (2 + 2)) + 2) + 1)) - 1) div 2) + 2) * 2) div (2 + 1))) - (x mod 2))) mod (x + 1)) div 2)
A238209: 0 0 1 0 0 0 1 1 1 2 2 3 3 4 4 6
(((((((((x + 1) * 2) - ((x - (x div ((2 + 2) + 1))) div (2 + 1))) * 2) div (2 + 1)) + x) * 2) div (2 + 1)) + ((x + 1) * 2))
A189395: 2 6 10 12 16 20 23 26 30 34 37 40 44 47 50 54
(((x - (((((((((((x * x) div (2 + 2)) + ((x * 2) * 2)) div (x + 2)) + 2) * 2) + 1) * (2 + 1)) div 2) div 2) - 1)) div 2) + 2)
A029278: 1 0 0 1 0 1 1 1 2 1 2 2 2 3 3 4
((((((((0 - (x mod (((x div (((x mod 2) + 2) * 2)) * 2) + 1))) mod (x + 1)) div (2 + 1)) * 2) + 1) * ((2 + 2) + 1)) div 2) div 2)
A109647: 1 1 1 1 3 1 1 6 6 1 1 8 6 8 1 1
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div (2 + 1)) * ((2 + 2) + 1)) + 2) div 2)
A157636: 1 1 1 1 1 1 1 3 3 1 1 6 8 6 1 1
(1 - (((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (x - (x div (2 + 2)))) + 1) div 2) div 2))
A176224: 1 1 1 1 0 1 1 ~2 ~2 1 1 ~6 ~8 ~6 1 1
((((((((((x + 1) * 2) - ((((x div (2 + 1)) mod (2 + 1)) - x) div (2 + 1))) + 1) * 2) div (2 + 1)) + 1) * (2 + 1)) div 2) - 2)
A286693: 2 5 7 8 11 14 16 17 20 23 26 28 29 32 35 37
(((((((((((((((x div (2 + 2)) + 2) * (x + 2)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x) * (2 + 1)) div 2) - 2)
A191535-A100598: 1 2 4 5 8 10
A138007: 1 2 4 5 8 10 11 13 17 19 20 23 26 28 31 34
(1 - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (1 - ((((x div 2) + 1) div 2) * 2))) div 2))
A176480: 1 1 1 1 2 1 1 4 4 1 1 9 11 9 1 1
(((((((((((((2 + 2) * (x + 1)) * (2 + 1)) div ((2 + 2) + 1)) * (2 + 1)) div 2) + 2) + 2) + 2) * (x + 1)) div 2) div 2) div 2)
A007187: 1 3 6 9 15 20 26 34 41
(((((((((((((((2 + 2) * 2) * 2) * 2) * (x + 1)) - 1) * 2) div (((x + 1) * 2) + 1)) + x) + 2) + 2) + 2) + 2) + 2) + 2)
A345491: 32 38 41 43 44 46 47 49 50 51 52 53 54 55 56 57
((2 + 1) - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) - (((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2))) * 2))
A204022: 1 3 3 5 3 5 7 5 5 7 9 7 5 7 9 11
((((((((((2 + 1) * 2) * (2 + 1)) + 1) * (x + 1)) mod (((2 + 2) * (2 + 1)) - 1)) + 1) * (2 + 1)) + 1) div ((2 + 2) * 2))
A190704: 3 2 1 4 3 2 0 3 2 1 0 3 2 1 4 3
((((((((x - ((x - (((x div (2 + 1)) * (x div 2)) div 2)) div 2)) div 2) mod 2) + ((x mod 2) * 2)) + 1) * x) div (2 + 1)) div (2 + 2))
A037281: 0 0 0 1 0 1 0 1 1 2 0
A114325: 0 0 0 1 0 1 0 1 1 2 0 2 1 3 2 3
((x div ((x mod (((x + 1) div (((((x * 2) div (((x + 1) div ((2 + 2) + 1)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + (x mod 2))
A318979: 0 1 0 2 0 2 0 3 0 2 0 4 0 2 1 4
((((((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) * (x + 1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + x)
A333645: 1 2 3 5 5 6 7 12 11 10 11 15 13 14 15 27
compr(\x.((x * x) mod ((((((((((x mod ((2 + 2) * 2)) + 1) mod (x + 1)) * ((x div 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A075905: 0 1 2 3 4 5 6 7 8 9 10 18 20 24 25 30
(((compr(\x.(2 - ((((((x div (2 + 1)) + 1) * 2) * ((x div (2 + 1)) + 1)) div (2 + 1)) mod ((2 + 2) + 1))),x) div (2 + 1)) + 1) + x)
A284681: 2 3 4 9 10 11 13 14 15 17 18 19 21 22 23 28
((((((((((((((x div (((2 + 1) * 2) + 1)) + x) * (2 + 1)) div 2) div 2) + x) div 2) + x) * 2) + x) + 2) * 2) div (2 + 1)) + x)
A058759: 1 4 8 13
A311848: 1 4 8 13 17 21 26 30 34 39 43 47 50 55 60 63
(((((((((((((((x * x) div (2 + 2)) + (x * x)) div (2 + 1)) + x) div 2) + x) div 2) + x) div 2) + x) div 2) + (x * 2)) + 1) + x)
A058759: 1 4 8 13
A311808: 1 4 8 13 17 21 25 29 34 38 42 47 52 56 61 65
compr(\x.(1 - (((((((((((((x * 2) - 1) * x) * ((x + 2) + 1)) div 2) div (2 + 1)) + 1) div 2) + 1) * 2) mod (x + 1)) div 2) div 2)),x)
A132858: 4 6 8 9 10 14 15 16 18 20 21 22 25 26 27 28
compr(\x.(x - ((((((((((((x + 1) * x) mod (((2 + 2) * 2) + 1)) * 2) mod (x + 1)) - 2) div 2) * (2 + 1)) div 2) + x) div 2) * 2)),x)
A191920: 4 6 7 10 12 13 14 15 16 19 20 21 22 23 24 25
(compr(\x.(loop(\(x,i).(if x <= 0 then 1 else loop(\(x,i).(if (x mod 2) <= 0 then 2 else loop(\(x,i).(loop(\(x,i).(x div ((x mod 2) + 1)),x,x) - 1),x,x)),2,x)),2,x) - 1),x) + 1)
A222011: 1 2 4 8
A074202: 1 2 4 8 14 16 22 26 28 32 38 42 44 50 52 56
loop(\(x,i).((if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,x)) + x),1,(x - 1))
A008687: 0 1 1 2 1 3 2 2 1 4 3 3 2 3 2 2
((compr(\x.loop(\(x,i).(if x <= 0 then 1 else ((if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1))) - 2)),x,x),x) * 2) + 1)
A043725: 1 3 7 15 21 31 37 41 43 45 53 63 69 73 75 77
(loop(\(x,i).(x * 2),x,1) div loop(\(x,i).((loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x) + x) + ((x + 1) div 2)),x,1))
A225482: 1 0 0 1 1 1 1 2 2 3 4 4 6 8 10 12
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((if x <= 0 then 1 else (((((2 + 2) * (2 + 1)) - 1) * i) + 1)) + x),i,1) + x),i,1) + x),i,1) + x),x,1)
A056118: 1 16 81 266 686 1512 2982 5412 9207 14872 23023 34398 49868 70448 97308 131784
(compr(\x.loop(\(x,i).(if x <= 0 then 1 else ((if x <= 0 then 2 else (loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1))) - 2)),2,x),(x + 1)) * 2)
A043767-A043758-A043750-A043743-A043737-A043732-A043724-A043571: 10 18 20 22 26 34 36 38 40 44 46 50 52 54 58 66
(loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((((((loop(\(x,i).(loop(\(x,i).(((i * x) * x) + 1),x,2) + 1),x,0) + 1) div 2) + 1) div 2) + 1) * 2))) + 1)
A325624: 2 9 15625 4611686018427387903 4611686018427387903
loop(\(x,i).(x * x),1,(((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x + 2) + 1) * x)),x) + 1) * 2) + 1))
A109367: 9 25 49 121 169 361 529 625 841 961 1369 1681 2209 3025 4225 4489
((((loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).(x * 2),x,1) + 1)) div 2) - loop(\(x,i).(((2 + 1) * x) + 1),x,1)) + loop(\(x,i).(x * 2),x,2)) - 1)
A134045: 1 3 7 18 61 258 1177 5358 23821 103338 439297 1838598 7605781 31191618 127100617 515462238
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025929: 1 21 307 3969 48979 593817 7152139 85937313 1031713507 12382483113 148597656571 1783203843057 21398575559635 256783429254009 3081403255517803 36976847527073601
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025938: 1 19 237 2471 23429 210063 1818349 15380167 128060757 1054660607 8618507261 70035919863 566816115685 4573706232751 36824728021773 296008336113959
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A028019: 1 32 668 11536 179088 2599296 36043456 483836672 6341561600 81632911360 1036368313344 13015606775808 162070777434112 2004417298202624 24654551330373632 301916965980012544
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025958: 1 17 185 1645 13041 96117 674185 4565165 30122081 194911717 1242462585 7828123485 48869031121 302849847317 1865814241385 11440608686605
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025967: 1 21 289 3321 34705 343257 3282913 30740457 283960369 2599944633 23667405697 214622461833 1941330570193 17530479823449 158125883415841 1425244488222249
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A028003: 1 30 592 9744 145264 2038176 27478144 360357888 4633015552 58698511872 735496093696 9137636831232 112771744215040 1384481544019968 16926102208872448 206237168590258176
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025930: 1 16 165 1400 10661 75936 517525 3421000 22124421 140796656 885205685 5513890200 34098207781 209668346176 1283419890645 7827611393000
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025939: 1 20 265 2960 30301 295340 2795905 25996520 238988101 2181067460 19810829545 179385327680 1620996705901 14628147660380 131888407103185 1188406175868440
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025445: 1 16 167 1454 11529 86772 633739 4547818 32300477 228024368 1604029791 11260172742 78950652145 553177103404 3874344193523 27128870214626
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025960: 1 19 235 2415 22491 197799 1679875 13959055 114403531 929407479 7508252115 60439364895 485415209371 3892957335559 31192373841955 249784713973935
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025976: 1 23 347 4363 49683 532491 5483299 54909371 538792595 5206523179 49719923331 470377414299 4416615113587 41215417310987 382666342963043 3537819931431547
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025932: 1 18 213 2114 19173 165354 1384741 11393778 92748645 750039290 6040740069 48528576642 389243479717 3119026937226 24977625311397 199948094540306
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025948: 1 22 321 3938 44045 465894 4751017 47229226 460842789 4433881166 42195474113 398084143314 3729357886333 34737030515638 322015765266009 2973201855377402
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A025961: 1 20 263 2902 29289 281472 2630731 24196634 220500797 1998686404 18061169919 162923877246 1468215185425 13223572329416 119060866122227 1071793518338338
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A025927: 1 19 245 2735 28701 293079 2957125 29682895 297294701 2974868039 29756539605 297597360255 2976103045501 29761552993399 297617634403685 2976184804896815
loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A075923: 1 70 3185 120050 4084101 130590390 4012419145 120031392250 3525181576301 102196720335710 2935410756419505 83751552660170850 2377917929557166101 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A000481: 1 15 140 1050 6951 42525 246730 1379400 7508501 40075035 210766920 1096190550 5652751651 28958095545 147589284710 749206090500
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A025933: 1 19 240 2570 25391 240489 2226310 20352640 184772181 1670999759 15079423580 135917468310 1224272081371 11023527831829 99237160300050 893261534749580
loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),2),1,i) + x),x,1)
A064194: 1 3 7 9 17 21 25 27 43 51 59 63 71 75 79 81
((((loop(\(x,i).(x * 2),(loop(\(x,i).((loop(\(x,i).(i * x),x,2) div (x + 1)) + x),x,1) + 1),1) div 2) * (loop(\(x,i).(x * 2),x,2) + 1)) + 1) div 2)
A104603: 3 10 36 544 4611686018427387903
((loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 1) * 2)
A072056: 2 2 2 4 2 4 4 4 2 2 6 6 2 4 4 2
(if (x mod 2) <= 0 then ((((if (x mod 2) <= 0 then (if (x mod (2 + 2)) <= 0 then (((2 + 2) * (2 + 1)) + 1) else 2) else (x div 2)) * 2) + 1) * (if x <= 0 then 1 else 2)) else 2)
A040727: 27 2 10 2 54 2 10 2 54 2 10 2 54 2 10 2
(((((loop(\(x,i).(if x <= 0 then 1 else (x - (if x <= 0 then 1 else (loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1))))),2,x) + x) div 2) * 2) div (2 + 1)) * (x mod 2))
A336120: 0 0 0 1 0 2 0 2 0 4 0 4 0 8 0 5
((if (x mod 2) <= 0 then (loop(\(x,i).(x - ((if x <= 0 then 1 else (if (x mod (((x - 1) mod (((2 + 2) * 2) + 1)) + 1)) <= 0 then 2 else 0)) - 1)),x,x) + 1) else 1) + x)
A257738: 1 2 3 4 5 6 7 8 9 10 11 12 25 14 33 16
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)),1,(((x * 2) * 2) * (2 + 1))) + 1),1,(x * x))
A081508: 3 244672067 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x + 1),(if x <= 0 then 1 else ((((x + 1) * 2) - loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2)) - 1)),0)
A267445: 1 0 1 0 5 3 5 0 13 11 13 7 17 11 13 0
loop(\(x,i).((x + 1) * x),1,((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)))
A337524: 0 2 2 6 2 12 2 12 6 12 2 30 2 12 12 20
(loop(\(x,i).((x * 2) + 1),x,0) mod loop(\(x,i).((((loop(\(x,i).(x * x),1,((((x * 2) + 1) * ((2 + 2) + 1)) + x)) * 2) - 1) * 2) - 1),1,1))
A222010: 0 1 3 7
A305493: 0 1 3 7 15 31 63 127 255 511 2 5 11 23 47 95
(loop(\(x,i).(x * 2),((loop(\(x,i).((((loop(\(x,i).(((x * 2) * 2) * (2 + 1)),(x + 1),1) - 1) mod (x + 1)) + 1) * x),x,1) * 2) + 1),1) - 1)
A139314: 7 31 8191 2305843009213693951
((((((compr(\x.(x - loop(\(x,i).loop(\(x,i).(if (x mod (i + 2)) <= 0 then 0 else x),x,((x * 2) + 1)),2,((x * 2) + 1))),x) * 2) + 1) * 2) + 1) * 2) + 1)
A101789: 7 23 47 167 263 359 383 479 503 719 839 863 887 983 1319 1367
(((((((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,2)) mod (x + 1)) div 2) + 1) div 2) + 1)
A235122: 1 1 2 2 2 2 2 2 3 3 3 4 4 4 3 2
((((((((((loop(\(x,i).((x - 1) * x),1,(loop(\(x,i).loop(\(x,i).(x * 2),x,x),x,1) div 2)) div 2) div 2) div 2) * 2) + 1) * x) div 2) + 1) div 2) + 1)
A250495: 1 1 3 196418 4611686018427387903
(((if x <= 0 then 1 else loop(\(x,i).(x * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),2)) * 2) - 1)
A100587: 1 3 3 7 3 15 3 15 7 15 3 63 3 15 15 31
((((loop(\(x,i).(i * x),x,(loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1))) div 2) + 1) div 2) * ((2 + 2) + 1))
A245648: 5 15 145 2775
(loop(\(x,i).(x * x),2,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div loop(\(x,i).((2 + 1) * x),(x + 1),(((x + 2) + 2) + 1)))
A034188: 1 1 3 3 6 3 3 1 1 0 0 0 0 0 0 0
((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),1) div (2 + 1)) div (2 + 1))
A038713: 1 11 1 111 1 11 1 1111 1 11 1 111 1 11 1 11111
(((compr(\x.(loop(\(x,i).((2 - x) * 2),(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + 1),1) mod (x + 1)),x) + 1) * 2) + (2 + 1))
A144742: 5 7 11 17 23 29 37 41 47 53 59 67 71 79 83 89
loop(\(x,i).((x * x) * x),1,((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)))
A319089: 1 8 8 27 8 64 8 64 27 64 8 216 8 64 64 125
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x)) * 2) - 1)
A124115: 3 3 5 5 11 11 17 17 19 29 27 35 41 41 43 49
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * ((2 + 2) + 1))),x,1)
A080250: 1 35 871 19215 402591 8236095 166570111 3349906175 67183250431 1345516627455 26928850135551 538762184167935 10777095520297471 215560428864815615 4311393762242888191 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024347: 1 28 523 8218 117649 1592416 20790631 264958246 3320750557 41132364364 505211150899 6167574174034 74958865496425 908053837462072 10973667150086527 132377759927894782
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024435: 1 29 561 9121 134897 1882545 25284337 330685937 4242985713 53675466481 671774536433 8338419180273 102834889732849 1261772945322737 15418912066155249 187803876238668529
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A023953: 1 26 453 6682 90461 1166802 14626501 180228074 2197722861 26629669378 321427557269 3870666716826 46545364947901 559241602629554 6715873831334757 80625872396459338
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020766: 1 29 571 9521 144907 2083865 28847827 388709777 5134091323 66784487561 858403625443 10928093824193 138039056180299 1732402968047417 21624191213455219 268679676312195569
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A022456: 1 25 422 6074 80739 1027731 12764344 156290788 1897808357 22932373997 276311410986 3323658428142 39939656787655 479667696880423 5758762699959548 69124442908248536
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020974: 1 29 567 9337 139775 1971417 26715823 352001609 4543901439 57765992185 725866130639 9039113138601 111770394659743 1374351994892633 16823974751541615 205209952708309513
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024778: 1 30 595 9840 147061 2063010 27740215 362136180 4628090521 58232585190 724277646235 8930528438520 109397647960381 1333481828166570 16193198750646655 196081347032548860
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025007: 1 31 635 10835 166851 2407971 33252835 445002595 5818890851 74768679011 947871169635 11890741318755 147930305201251 1828206048535651 22473922782504035 275081786101769315
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 1) * 2) + 1) * x) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024440: 1 28 521 8132 115425 1547436 20005177 252510484 3136438289 38534838524 469928249193 5701527366756 68933583580993 831438081590092 10011928868278169 120426060354676148
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020981: 1 31 645 11255 177821 2636991 37440565 515147335 6923011341 91364030351 1188608942885 15286543614615 194762842152061 2462271368182111 30927944350627605 386358083836485095
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A022000: 1 28 533 8648 128889 1824276 24950461 333078016 4367420897 56484732044 722650676709 9164986526904 115404823162825 1444532800672132 17990818115880077 223110488408176112
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A023772: 1 27 490 7530 105991 1416477 18318520 231807060 2890036381 35658042927 436707179350 5319843165390 64552636279171 781063825879377 9430663254710980 113689073300930520
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A023947: 1 28 527 8390 122121 1683768 22407907 291019450 3713967341 46787388908 583658682087 7226065372110 88934701511761 1089437114484448 13295459966641067 161767703674942370
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A124099: 1 30 619 10920 177061 2726130 40547359 588485820 8387148121 117876868230 1638536364499 22574666496720 308755233696781 4197234089634330 56765041887676039 764357559726523620
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020569: 1 28 537 8780 131681 1872828 25708777 344166700 4522666161 58593270428 750663052217 9530987332620 120125429898241 1504795780456828 18753752307454857 232703290568738540
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021734: 1 27 502 8022 118363 1663809 22644784 301210524 3938740405 50831269671 649205557546 8222000492706 103410878533327 1293146143620813 16092125344053988 199423591976817768
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A023950: 1 23 348 4378 49679 528381 5380306 53132816 513181317 4875626899 45752166824 425305531014 3925114125115 36023250380777 329183853207102 2998041099306172
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A023951: 1 24 381 5056 60837 689640 7521277 79922832 834214293 8599137976 87862904493 892165074528 9019015091269 90887374167432 913848341454429 9173869834986544
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A020573: 1 24 391 5406 68497 824460 9612667 109824522 1238345653 13843811256 153896453503 1704525493398 18833608743769 207769555090212 2289742482517699 25217579128356834
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A024170: 1 26 447 6412 83153 1012158 11803219 133502864 1476280245 16046160130 172084379831 1825884161556 19206817023577 200615621740742 2083177317949083 21525527306347288
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A023956: 1 26 449 6502 85581 1063194 12725545 148560206 1704811493 19330213474 217323204033 2428517447382 27020001684157 299686169462186 3316371108572633 36639232372189150
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A022412: 1 23 356 4690 57015 663621 7538098 84446336 938561525 10384529155 114604142016 1262952525198 13906624731091 153059279644385 1684178151097070 18529154259093436
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A020726: 1 27 493 7599 106645 1411431 17955757 222093423 2690508229 32080473975 377794514461 4405195463487 50953884924853 585473143132359 6690087028209805 76090252032830991
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A024437: 1 25 410 5570 67971 774075 8402620 88071940 898959941 8988218525 88404153630 858025759110 8237487011911 78372461725375 740024044725440 6943130337867080
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A024438: 1 26 445 6330 81141 973746 11173405 124182410 1348136581 14378944866 151299635565 1575384732090 16269102500821 166926103626386 1703932925460925 17322243189947370
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A020968: 1 26 455 6700 89661 1130766 13712035 161844800 1874156921 21406992706 242089527615 2717862993300 30349359729781 337562780465846 3743627395703195 41428143398876200
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021884: 1 23 358 4758 58419 686541 7864936 88727036 991573957 11016698979 121950785034 1346833901634 14852822151415 163644677778137 1801937252261452 19834231783445352
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A022453: 1 22 320 3890 42861 444612 4433080 43016380 409466321 3843870602 35717758440 329381322270 3020187550381 27573503381992 250911867832400 2277497319225560
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A022454: 1 23 352 4530 53151 590373 6335302 66471680 687035701 7029030723 71413230252 722053798830 7276293638251 73154751811073 734297855505202 7362269063785980
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A020000: 1 23 362 4870 60411 715533 8243572 93366380 1046230421 11644889443 129058033182 1426436938290 15738640474831 173461105001753 1910430676985192 21031277618176600
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A021614: 1 22 332 4322 52353 609924 6948544 78112924 871004585 9663416906 106874239836 1179653481006 13004446987897 143246730136168 1577098731557408 17357778969071768
(if x <= 0 then (2 + 1) else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1)))
A125266: 3 1 2 2 4 2 4 2 4 6 2 6 4 2 4 6
(compr(\x.(loop(\(x,i).((x + 1) * x),1,((loop(\(x,i).((x + 1) * 2),x,2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) - 1)) mod (x + 1)),x) + 1)
A241071: 1 2 4 6 8 10 12
A267817: 1 2 4 6 8 10 12 16 18 20 24 30 32 36 40 42
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + (((x * 2) * 2) * 2)),x,1)
A024771: 1 28 515 7850 107481 1373088 16714975 196403350 2246489861 25160397548 277090599435 3010102678050 32332333478641 344033387428408 3631750686931895 38080468894107950
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A022628: 1 25 418 5898 76059 930003 10996396 127188916 1449394837 16348318701 183083516694 2039995806654 22648876033135 250810539522919 2772306789414112 30602539667823912
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A020979: 1 29 563 9145 134211 1845249 24249163 308352185 3824765171 46535545969 557596038363 6599196683625 77316285612931 898280118486689 10363489117309163 118857642802045465
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021964: 1 25 422 6050 79563 993675 12002224 141692500 1645717205 18887136125 214818117306 2426541462150 27263857999327 305049644712175 3401871310224068 37837512809631800
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A022845: 1 25 416 5810 73731 881895 10139746 113382280 1242174461 13399350965 142804173876 1507398751950 15788505813991 164317248669235 1701069830850806 17531812552906820
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A021694: 1 24 394 5544 71995 891408 10701748 125788848 1456313749 16673208552 189289198462 2135136588312 23963101915663 267883518461856 2985323286760936 33185997429018336
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),x,1)
A021984: 1 26 457 6822 93333 1210938 15168529 185357774 2224062445 26316305730 307996949481 3573147901206 41156463852037 471239561238602 5368820120200513 60908872219620318
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A020567: 1 26 461 6946 95781 1250466 15739501 193056386 2323229621 27553572706 323079534141 3753826047426 43291842381061 496209045488546 5658293396858381 64241196847864066
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A020971: 1 27 490 7470 103291 1343097 16753780 202932540 2405791381 28065859767 323426323870 3691983687210 41834308968271 471276683342037 5284615302054760 59040661951743480
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((((2 + 2) + 1) * x) * 2)),x,1)
A020982: 1 30 601 10050 151501 2135070 28702801 372684090 4712104501 58346365110 710428956601 8532288986130 101313313019101 1191569650755150 13901375026212001 161062105099480170
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),x,1)
A021714: 1 25 428 6278 84879 1092243 13601506 165488176 1979095877 23357343581 272803757304 3159571375194 36342586372795 415641464948839 4730786270092622 53625950549096132
((compr(\x.((((loop(\(x,i).loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1,((x + 1) * (2 + 1))) + 1) * 2) mod (2 + 1)) - 1),x) + 1) + (x + 1))
A185871: 5 12 14 23 25 27 38 40 42 44 57 59 61 63 65 80
(((((x mod 2) - loop(\(x,i).(x * 2),(x - (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))),1)) + 1) - loop(\(x,i).(x * 2),x,1)) mod (x + 1))
A141564: 0 1 2 1 4 2 6 1 2 4 10 2 12 6 8 1
(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) div (2 + 1)),1,i) + x),x,0) * 2)
A160716: 0 2 4 10 12 18 24 42 44 50 56 74 80 98 116 170
(loop(\(x,i).(x * 2),x,(((((loop(\(x,i).((x * x) * x),1,(loop(\(x,i).(i * x),x,1) + 1)) div (2 + 1)) div (2 + 1)) + 1) div (2 + 1)) + 1)) div 2)
A327145: 0 1 4 56 4640
((((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + 1) div 2)
A136422: 1 1 2 2 3 4 5 7 10 13 18 24 33 45 62 85
(((((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * (2 + 1)) else 1) * (2 + 1)) else 1) * (2 + 1)) - (x mod 2)) + 1) div 2)
A040748: 27 1 5 1 54 1 5 1 54 1 5 1 54 1 5 1
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(x - (1 - (((x + 1) * 2) * ((2 + 2) + 1))))),x) + 1) * 2)
A107960: 4 10 12 18 22 24 28 34 40 42 52 54 60 70 78 88
(((if x <= 0 then 0 else ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x))) + 1) div 2)
A162800: 0 2 4 6 9 12 15 18 21 26 30 34 39 42 45 50
(((compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)) + loop(\(x,i).(x * 2),x,1)) div 2)
A018251: 1 2 3 6 9 18
A085431: 1 2 3 6 9 18 33 66 131 257 515 1026 2049 4098 8195 16387
(loop(\(x,i).(loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,(((2 + 1) * x) + 1))),1,(x + 1)) div 2)
A006419: 0 1 7 37 176 794 3473 14893 63004 263950 1097790 4540386 18696432 76717268 313889477 1281220733
((((((x mod (loop(\(x,i).(((x - (1 - loop(\(x,i).(x - (if x <= 0 then 0 else i)),x,x))) mod (x + 1)) + 1),2,x) + 1)) div 2) + 1) * 2) mod (x + 1)) div 2)
A229878: 0 0 1 0 1 2
A051010: 0 0 1 0 1 2 0 1 1 2 0 1 2 3 2 0
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((2 + 2) * (x + 1)) * ((2 + 2) + 1)) + x)),x) + 1) * 2)
A124198: 2 6 10 16 18 20 22 26 30 32 36 42 46 48 50 52
((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((2 + 2) * (x + 1)) - 1) * 2) * 2) + x)),x) + 1) * 2)
A138628: 4 10 12 22 24 30 34 40 48 52 54 60 72 78 88 90
(x - ((((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((x * 2) div (2 + 1))),(x + 1)) * 2) - 1) div 2) div 2))
A112310: 0 1 1 2 2 2 3 2 3 3 3 4 3 3 4 3
(loop(\(x,i).(i + x),((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)),2) - 2)
A184389: 1 3 3 6 3 10 3 10 6 10 3 21 3 10 10 15
(((loop(\(x,i).((((x div ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + 1) * (2 + 1)) - 1),2,x) div (2 + 1)) + 2) div 2)
A143773: 1 1 1 2 1 2 1 3 2 3 1 5 1 4 3 6
(((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((((2 + 1) * x) + 2) * 2) * 2) - x)),x) + 1) * 2) - 2)
A108725: 0 2 8 12 14 20 24 30 44 48 50 54 62 72 78 90
(loop(\(x,i).(((((loop(\(x,i).((x * 2) * (2 + 1)),(x + 1),1) + loop(\(x,i).((x + 1) * 2),x,2)) mod (x + 1)) * 2) + 1) * (x + 1)),2,x) div 2)
A081618: 1 7 232 430
((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) - 2)
A062235: 1 4 18 38 108 152 270 338 500 810 924 1328 1638 1802 2156 2750
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2))
A251720: 12 45 175 539 1573 2873 5491 8303 15341 26071 35557 56129 72283 86903 117077 165731
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2))
A167770: 1 4 4 5 4 16 4 16 7 4 36 16 4 16 36 36
loop(\(x,i).(x * x),1,((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)))
A166329: 36 225 1225 5929 20449 48841 104329 190969 444889 808201 1315609 2301289 3108169 4084441 6205081 9778129
(loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) + 2)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2))
A179397: 1 1 1 1 3 10 2 5 18 6 7 36 36 14 3 11
(2 - ((loop(\(x,i).(loop(\(x,i).((x * 2) * (2 + 1)),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)),x,(((x * 2) * 2) * 2)) + 1) + x))
A307846: 1 4085185
(((if x <= 0 then 1 else loop(\(x,i).(x - ((if x <= 0 then 1 else (((((x - 1) div (((2 + 2) * (2 + 1)) + 1)) + 1) + 1) * 2)) div 2)),1,(x - 1))) + x) + x)
A145441: 1 2 3 6 9 12 15 18 21 24
A308012: 1 2 3 6 9 12 15 18 21 24 27 30 33 36 39 41
loop(\(x,i).(((x * 2) * 2) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165833: 1 12 12 144 12 144 12 1728 144 144 12 1728 12 144 144 20736
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165831: 1 10 10 100 10 100 10 1000 100 100 10 1000 10 100 100 10000
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165828: 1 7 7 49 7 49 7 343 49 49 7 343 7 49 49 2401
((x div ((x mod ((((loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)) * 2) - 1) mod (x + 1)) + 1)) + 1)) + 1)
A093527: 1 1 3 2 5 1 7 4 9 5 11 3 13 7 1 8
((x mod (((loop(\(x,i).(x * x),1,((x mod ((loop(\(x,i).(x * 2),x,((x mod 2) + 1)) mod ((x * 2) + 1)) + 1)) + 1)) - 1) mod (x + 1)) + 1)) + 1)
A071975: 1 2 3 1 5 6 7 4 1 10 11 3 13 14 15 1
((x div (if (x mod 2) <= 0 then 1 else (((1 - ((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1) mod (2 + 1))) mod (x + 1)) + 1))) + 1)
A237517: 1 2 3 4 5 1 7 8 9 5 11 1 13 7 15 16
(x div (((x + 1) div ((((((loop(\(x,i).(x * 2),x,(if (((x div 2) + x) mod (2 + 2)) <= 0 then 2 else 1)) - 1) mod (x + 1)) div 2) + 1) * 2) - 1)) + 1))
A086798: 0 0 0 1 0 0 0 3 4 0 0 2 0 0 2 7
(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) - 1),((x * 2) + 1),1) - (loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,(((2 + 1) * 2) + 1)) + 1))
A332181: 1 818 88188 8881888 888818888 88888188888 8888881888888 888888818888888 88888888188888888 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),(x * 2),1) - loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) * ((2 + 2) + 1)) + 1)
A332161: 1 616 66166 6661666 666616666 66666166666 6666661666666 666666616666666 66666666166666666 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) mod (2 + 1)) - 1)
A210826: 1 ~1 ~1 0 ~1 1 ~1 1 0 1 ~1 0 ~1 1 1 ~1
(((((compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x) - compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) div 2) + 1) mod (2 + 1)) - 1)
A341952: 1 1 ~1 1 ~1 1 ~1 0 1 0 ~1 1 ~1 0 0 1
(if x <= 0 then 0 else (((((((((loop(\(x,i).(x * 2),(x - (x div ((2 + 2) * 2))),2) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A284257: 0 1 1 2 1 2 1 3 2 1 1 3 1 1 2 4
(((((((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,((x * 2) + 1)) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A274515: 1 1 2 2 1 3 3 2 3 3 2 3 3 1 4 4
(((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 1))),x) * 2) + 1) * 2) * (2 + 1)) - 1)
A068230-A040117: 5 17 29 41 53 89 101 113 137 149 173 197 233 257 269 281
(((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (2 + 1)) + 2))),x) * 2) + 1) * 2) * (2 + 1)) + 1)
A068229: 7 19 31 43 67 79 103 127 139 151 163 199 211 223 271 283
(x - (((x + 1) mod ((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1))) - 1))
A161654: 1 2 2 3 4 4 6 8 9 8 10 12 12 12 12 15
loop(\(x,i).((x * 2) * (2 + 1)),(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2),1)
A165857: 1 36 36 1296 36 1296 36 46656 1296 1296 36 46656 36 1296 1296 1679616
loop(\(x,i).(((2 + 2) + 1) * x),(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2),1)
A165846: 1 25 25 625 25 625 25 15625 625 625 25 15625 25 625 625 390625
(((compr(\x.(loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) + ((((2 + 1) * x) + 2) mod (((2 + 1) * 2) + 1))),x) + 1) * 2) + 1)
A045471: 11 53 67 109 137 151 179 193 263 277 347 389 431 487 557 571
(((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2) + 2) + 1)
A201498: 4 7 15 33 63 99 147 201 311 423 543 723 843 969 1199 1511
(loop(\(x,i).((((x * x) * (x * x)) - 1) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((((2 + 2) * 2) * 2) - 1))
A138429: 2 16 208 1120 10736 24752 94656 165072 429088 1367408 1908608 4622928 7723744 9800560 15289664 27879696
(loop(\(x,i).((((x * x) * (x * x)) div 2) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((((2 + 2) * 2) * 2) - 1))
A138430: 1 8 104 560 5368 12376 47328 82536 214544 683704 954304 2311464 3861872 4900280 7644832 13939848
((((if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * (((2 + 2) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * 2) * (2 + 1)) div ((2 + 2) + 1))
A040418: 20 1 19 1 40 1 19 1 40 1 19 1 40 1 19 1
((loop(\(x,i).(((((x * x) * (x * x)) div 2) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div ((2 + 2) + 1))
A122220: 3 36 780 5880 88572 241332 1206864 2352276 7401768 29741124 44375136 128286252 237505128 316068060 538960656 1108217916
((((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) + ((x mod 2) * 2)) + 1)
A037852: 2 5 3 6 3 7 3 7 4 7 3 9 3 7 5 8
((((((if (x mod (((x mod (2 + 2)) * 2) + 1)) <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1) div (2 + 1)) + 1) div (2 + 1))
A245536: 0 0 1 0 0 1 2 0 0 0 0 1 0 2 3 0
(((loop(\(x,i).((x + 1) * 2),(if x <= 0 then 1 else (((x div ((x div ((x mod (((x mod 2) + 1) * 2)) + 1)) + 2)) + 1) * 2)),1) div 2) + 1) div (2 + 1))
A174354: 1 2 2 8 2 8 2 32 2 8 2 32 2 8 2 128
(((((loop(\(x,i).(x * 2),x,(2 - ((x mod 2) - (((loop(\(x,i).((x * 2) * 2),x,2) + 2) * 2) + 1)))) div 2) div (2 + 1)) + 1) * 2) div (2 + 1))
A243693: 1 5 32 233 1833
((((((((((((if (x div 2) <= 0 then 1 else ((if (x mod 2) <= 0 then 2 else x) div 2)) * (x + 1)) - 1) div 2) div 2) + x) div 2) + 1) div 2) + 1) * 2) mod (2 + 1))
A004578: 2 2 1 1 1 0 0 2 2 0 2 2 1 0 1 0
((((((((loop(\(x,i).(x * 2),x,(loop(\(x,i).(((x - 1) * x) div 2),2,(x + 1)) div (2 + 1))) div 2) div 2) + 1) div 2) div 2) + 1) div 2) mod (2 + 1))
A093315: 0 0 0 1 2 2 2 0 0 0 0 1 1 0 1 1
(if x <= 0 then 1 else (((x * 2) * (2 + 1)) - ((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1))))
A058759: 1 4 8 13
A312077: 1 4 8 13 18 22 26 31 36 40 44 48 52 57 62 66
(((((((((loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,1)) * (x + 1)) div (2 + 1)) + 1) div (2 + 1)) + 1) div 2) + 2) * 2) mod (2 + 1))
A242086: 1 0 1 0 1 0 0 1 0 1 0 2 0 1 0 0
(((loop(\(x,i).(((x * x) * (x * x)) * ((x * x) - 1)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div (2 + 1))
A138459: 4 54 1250 9604 146410 399854 2004504 3909630 12313004 49509670 73881680 213654354 395606540 526495354 897861304 1846372554
(((loop(\(x,i).(((x * x) * (x * x)) * ((x * x) div 2)),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div (2 + 1))
A138458: 2 27 625 4802 73205 199927 1002252 1954815 6156502 24754835 36940840 106827177 197803270 263247677 448930652 923186277
((if x <= 0 then 1 else ((x * 2) * 2)) - (1 - (((((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1))))
A315032: 1 5 9 15 19 25 29 34 39 43 49 53 59 63 68 73
(((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) * 2) - (x mod 2)) + 1)
A086369: 1 2 3 4 3 6 3 6 5 6 3 10 3 6 7 8
(x mod (x - (if x <= 0 then 1 else (((if (x mod ((2 + 2) + 1)) <= 0 then 1 else ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) - (x mod 2)) + 1))))
A076473: 0 0 0 0 0 1 1 1 2 0 2 1 3 1 1 1
(compr(\x.(loop(\(x,i).(((((loop(\(x,i).(x * x),2,(2 + 2)) * (x + 1)) - 1) * 2) * (2 + 1)) * (2 + 1)),2,((2 + 2) + 1)) mod (x + 1)),x) + 1)
A343238: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 29 30
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * (((x + 2) * x) + 1))
A034714: 1 8 18 48 50 144 98 256 243 400 242 864 338 784 900 1280
loop(\(x,i).((x * 2) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166627: 1 12 18 144 30 216 42 1728 324 360 66 2592 78 504 540 20736
loop(\(x,i).(((x * 2) * 2) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166629: 1 16 24 256 40 384 56 4096 576 640 88 6144 104 896 960 65536
loop(\(x,i).(((2 + 2) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166626: 1 10 15 100 25 150 35 1000 225 250 55 1500 65 350 375 10000
((2 - (x mod (if (x mod 2) <= 0 then (1 - ((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) * 2) + 1))) else 1))) mod (x + 1))
A325273: 0 0 1 2 2 2 3 2 2 2 4 2 2 2 2 2
(loop(\(x,i).(((2 + 1) * x) + 2),(x div ((x div ((((if (x mod 2) <= 0 then 1 else x) mod (2 + 2)) + ((x mod (2 + 1)) div 2)) + 1)) + 2)),1) div (x + 1))
A260649: 1 0 1 1 1 0 0 2 1 0 0 1 0 0 1 3
((((x - (loop(\(x,i).(((((((x * x) div 2) div ((2 + 2) + 1)) + 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) + 1),2,x) - 1)) * 2) + 1) mod (x + 1))
A341019: 0 1 0 1 2 3 4 3 4 5 6 7 6 7 6 5
(((((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * 2) * 2) * (x + 1))
A145229: 4 16 24 48 40 96 56 128 108 160 88 288 104 224 240 320
((compr(\x.((((if (x mod (2 + 1)) <= 0 then 0 else (if (((x div (2 + 1)) + 1) mod ((2 + 2) + 1)) <= 0 then 2 else 1)) + 1) mod (2 + 1)) - 1),x) + 2) mod (x + 1))
A260644: 0 1 2 3 4 3 2 1 2 3 4 5 4 3 2 3
(loop(\(x,i).(x * x),1,((if (x - 1) <= 0 then 1 else (((((x * x) mod (x - ((2 - x) div 2))) div (x + 1)) + (x mod 2)) * 2)) - (x mod 2))) + (x + 1))
A056896: 2 2 3 5 5 7 7 17 13 11 11 13 13 23 19 17
loop(\(x,i).(loop(\(x,i).((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) div 2) + 1) * 2),1,i) + x),x,1)
A101114: 1 3 5 9 11 15 17 23 27 31 33 41 43 47 51 61
((if x <= 0 then 2 else (((x + 1) mod ((((x mod ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) mod (x + 1)) + 1)) + 1)) div 2)
A331416: 1 0 0 1 0 0 0 1 1 0 0 0 0 0 2 1
(if x <= 0 then 1 else ((((x * 2) - ((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1))) + 1) * 2))
A045999: 1 2 2 4 6 6 6 8 10 10 10 10 10 12 14 14
((x + 1) div (if x <= 0 then 1 else (((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((x + 1) * 2) + 1)) + 1) div 2) + 1) * 2)))
A029396: 1 0 0 0 0 1 0 1 1 0 1 0 2 1 1 2
((x + 1) div (((((loop(\(x,i).((x div (((x mod 2) * 2) + 1)) + 2),1,((if ((x mod (2 + 1)) - 1) <= 0 then x else 2) + 1)) div 2) + 1) div 2) + 1) * 2))
A293909: 0 0 0 0 1 1 1 1 2 1 2 3 2 1 3 1
((((((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) + (((x + 1) div 2) div 2)) + 1) * 2) + 1) mod (x + 1)) div 2) + 1) div 2) + 1) div 2)
A333365: 0 0 1 0 1 1 1 0 1 1 1 2 0 0 1 2
((((if x <= 0 then 2 else (loop(\(x,i).(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) - (i div (2 + 1))),2,x) + 1)) div 2) + 1) div 2)
A221833: 1 0 1 0 1 1 0 0 2 1 0 0 3 3 1 0
(if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1)) - 1) mod (x + 1)) div 2) + 1) * 2))
A284011-A278524-A278523-A278237-A275468-A083260-A071364-A046523: 1 2 2 4 2 6 2 8 4 6 2 12 2 6 6 16
((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 2) + 1) * x) + 2))),x) * 2) + 1) * ((2 + 2) + 1)) + 2)
A030432: 7 17 37 47 67 97 107 127 137 157 167 197 227 257 277 307
((if (x mod (((2 + 1) * 2) + 1)) <= 0 then loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) else ((((2 + 2) * 2) * 2) + 1)) mod (((2 + 2) + 1) * 2))
A083947: 1 7 7 7 7 7 7 1 7 7 7 7 7 7 5 7
((((loop(\(x,i).((((((2 + 2) + 1) * x) + 1) * 2) + 1),(x * 2),2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1)) + 2) * (2 + 1)) + 2)
A171766: 17 737 70307 7003007 700030007 70000300007 7000003000007 700000030000007 70000000300000007 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 1 else ((((x * 2) * 2) - ((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1))) * 2))
A312658: 1 4 8 14 20 24 28 34 40 44 48 52 56 62 68 72
((((if x <= 0 then 1 else ((compr(\x.((loop(\(x,i).((x * 2) + 1),(x div ((x mod 2) + 1)),1) mod (x + 1)) - 1),(x + 1)) + 1) * 2)) - (x mod 2)) + 1) div 2)
A176175: 1 3 5 6 7 10 11 13 14 17 19 22 23 26 29 31
((((((loop(\(x,i).(x * 2),((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)),1) div 2) + 1) div 2) * 2) mod (x + 1)) * 2)
A345450: 0 0 0 4 0 4 0 4 4 4 0 8 0 4 4 0
(((((((loop(\(x,i).(x * 2),x,1) - (((1 - loop(\(x,i).(((x - 1) * x) div (i + 1)),2,(x - 1))) div 2) * 2)) + 1) div 2) div 2) + 1) div 2) div 2)
A261667: 0 0 0 0 1 2 6 12 25 48 90
(((((((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,((x div 2) + 1)) div 2) + 1) * (x - 1)) div 2) div 2) div 2) + 1) div 2) * 2)
A086973: 0 0 0 0 0 0 2 2 2 4 2 2 6 6 8 8
(((((x + 2) - ((x + 1) div (if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2)))) * 2) * 2) * 2)
A244371: 8 16 24 32 32 48 40 64 64 80 56 96 64 104 104 128
((((((compr(\x.(loop(\(x,i).(loop(\(x,i).(x * x),2,(x + 2)) * (x + 2)),2,1) mod (x + 1)),x) + 2) * 2) div (2 + 1)) + 1) div 2) mod ((2 + 2) * 2))
A274913: 1 2 3 1 4 1 2 3 2 3 1 4 1 4 1 2
(1 - ((((x mod (1 - ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2))) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) * 2))
A261033: 3 5 7 9 13
A157048: 3 5 7 9 13 15 19 21 25 31 35 39 43 45 49 55
((if x <= 0 then 1 else ((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) - 1) + (x * 2)) div (2 + 1))) + ((x * 2) * 2))
A314221: 1 5 11 17 22 28 34 40 45 51 57 62 67 73 79 84
(((((((if x <= 0 then 0 else (if x <= 0 then 1 else (compr(\x.(1 - (x mod (((x * 2) mod ((x div 2) + 1)) + 1))),x) * 2))) + 1) * 2) div (2 + 1)) + 1) + x) div 2)
A167376: 0 4 6 8 9 10 12 13 14 16 17 18 19 20 21 23
(if x <= 0 then 1 else ((((((loop(\(x,i).((((((x - 2) * 2) div ((x div 2) + 2)) mod 2) + x) + 1),x,1) + x) + x) * 2) div (2 + 1)) - 1) + (x * 2)))
A058759: 1 4 8 13
A311795: 1 4 8 13 17 21 25 29 33 37 41 45 49 53 58 63
(((((x div (((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod (x + 1)) + 2) * (2 + 1))) + 1) * 2) - 1) + (x * 2))
A165704: 1 3 5 7 9 11 15 15 17 19 23 23 29 29 29 33
(((((if x <= 0 then 1 else ((((((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x) * 2) div (2 + 1)) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2))
A315702: 1 6 12 17 23 29 33 39 45 50 56 62 68 74 79 85
(if (x div ((2 + 2) + 1)) <= 0 then (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) else ((((2 + 2) * (2 + 1)) * (2 + 1)) + (x div 2)))
A195337: 2 3 5 7 11 38 39
((if (x mod (2 + 2)) <= 0 then 1 else (if x <= 0 then 0 else ((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1))) + (x mod 2))
A036989: 1 2 1 3 1 2 2 4 1 2 1 3 1 3 3 5
((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1) + compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)) div 2) + 1) div 2) - x)
A024683: 0 0 0 0 0 1 1 2 2 4 5 6 7 8 8 10
(((if x <= 0 then 1 else (((((((((if (x mod (2 + 2)) <= 0 then (x * 2) else (x div 2)) + x) + 1) div 2) + 2) * 2) div (2 + 1)) - 1) + (x * 2))) + x) + x)
A314776: 1 5 9 13 20 23 27 31 40 41 45 49 60 59 63 67
((x div ((x mod ((x mod ((x div ((if x <= 0 then 0 else ((((x div (((x * 2) mod (2 + 1)) + 1)) mod 2) - (x mod 2)) + 1)) + 2)) + 1)) + 1)) + 1)) + 1)
A280697: 1 2 3 2 5 2 7 2 3 5 11 3 13 2 5 4
((x mod ((x mod (((loop(\(x,i).((x - 1) * x),1,((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) - 1) mod (x + 1)) + 1)) + 1)) + 1)
A324646: 1 2 3 2 1 6 1 2 3 10 1 6 1 2 15 2
(if x <= 0 then 2 else (((x + 1) mod ((((x mod (((x div (((x mod ((x mod ((x mod 2) + 2)) + 2)) * 2) + 1)) * 2) + 1)) + 1) mod (x + 1)) + 1)) + 1))
A162154: 2 1 1 1 1 3 1 1 1 3 1 1 1 3 1 5
(((loop(\(x,i).(x * x),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) * 2) mod (((2 + 1) * 2) + 1)) + 1)
A338878: 1 1 1 1 3 1 1 2 2 1 1 5 5 5 1 1
(2 div ((if x <= 0 then 0 else (((((((x div (((((2 + 2) * 2) mod ((x div 2) + 1)) + 2) + 2)) + (x mod 2)) * 2) mod (x + 1)) div 2) mod 2) + 1)) + 1))
A145679: 2 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1
((((((loop(\(x,i).(x * x),2,((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) * (x + 1)) div 2) div (2 + 1)) + 1) div (2 + 1)) + 1)
A299521: 1 1 1 1 1 1 1 1 1 1 1 2 12 2 1 1
(if (x - 1) <= 0 then x else ((((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1)) + 1) mod (2 + 1)) - 1))
A294079: 0 1 1 0 1 ~1 1 0 0 ~1 1 1 1 ~1 ~1 0
(((((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2) - 1) mod (2 + 1)) - 1)
A317193: 1 ~1 1 0 1 ~1 1 1 ~1 1 0 1 ~1 1 ~1 1
loop(\(x,i).((((2 + 2) + 1) * x) + (x div ((2 + 2) + 1))),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A172342: 1 1 1 1 5 1 1 26 26 1 1 135 702 135 1 1
loop(\(x,i).(((((((x + 1) div 2) div 2) - 1) div 2) - 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A156609: 1 1 1 1 ~2 1 1 4 4 1 1 ~4 8 ~4 1 1
(((((((((if x <= 0 then 1 else ((x * 2) * 2)) - (((x div 2) + x) div (2 + 2))) * ((x + 2) + 2)) * 2) div (2 + 1)) + 1) * 2) mod (2 + 1)) + 1)
A335620: 1 2 1 3 1 3 1 2 2 2 3 2 2 2 3 3
(((((((x div ((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod ((x mod ((2 + 2) * 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A050430: 1 1 2 2 3 2 3 3 4 3 3 2 3 3 4 4
((((((((loop(\(x,i).(x * 2),(x mod ((2 + 2) + 1)),1) * (((((x * 2) + 1) * 2) * 2) + 1)) div 2) div 2) div 2) + 1) * 2) mod (2 + 1)) - 1)
A011633: 1 1 0 ~1 ~1 ~1 0 1 1
A014339: 1 1 0 ~1 ~1 ~1 0 1 1 0 0 ~1 ~1 0 1 1
(x - ((x + 1) mod (((((((x - (((((if (x - (2 + 2)) <= 0 then 1 else x) + x) * 2) div (x + 2)) + x)) * 2) + 1) * 2) * 2) div (2 + 1)) + 1)))
A171592: 0 1 2 3 4 5 11 11 11 11 11 11 17 17 17 17
((x + 1) mod (((((((((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1) div (2 + 1)) + 1) + x) + 2) * 2) div (2 + 1)) - 1))
A093489: 0 0 0 1 1 1 1 3 2 3 2 4 2 3 4 5
((((x mod ((((x mod ((x div (((loop(\(x,i).((x * x) div (2 + 1)),2,x) * x) mod (2 + 1)) + 1)) + 2)) + 1) mod (x + 1)) + 1)) + 1) div 2) + 1)
A105535: 1 1 1 1 2 1 1 3 1 1 1 4 1 4 2 1
(x div ((((((((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),1) div (x + 1)) * 2) + 1) + x) + x) * 2) mod (2 + 1)) + 1) * 2) + 1))
A308028: 0 0 0 1 0 0 2 1 1 3 3 3 1 2 2 5
(((((x mod (((2 - ((x + 1) mod ((((loop(\(x,i).(1 - x),x,(x + 2)) mod (2 + 1)) + 1) * 2) + 1))) mod (x + 1)) + 1)) div 2) + 1) div 2) + 1)
A055893: 1 1 2 1 1 2 1 3 1 3 1 2 2 1 2 1
(((((((((((if x <= 0 then 1 else ((((x * x) * (2 + 1)) + 1) * 2)) * (((x + 1) * 2) + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2) - 1)
A299262: 1 7 25 65 137 249 411 631 919 1283 1733 2277 2925 3685 4567 5579
((((x + 1) div ((if ((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) * 2) <= 0 then (x + 1) else 0) + (x div (2 + 1)))) div 2) + 1)
A073802: 1 1 1 1 1 4 1 1 1 2 1 3 1 2 2 1
(((((loop(\(x,i).((x * 2) * 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1) div (2 + 1)) * ((x div 2) + 1)) div 2) * 2) + 1)
A137897: 1 1 1 1 3 1 1 5 5 1 1 7 35 7 1 1
((((((x - ((1 - ((if x <= 0 then 1 else ((((x * x) div (2 + 2)) mod (x + 1)) - 2)) mod (2 + 1))) - (x mod 2))) mod (x + 1)) + 2) div 2) div 2) + 1)
A027199: 1 1 1 2 1 1 2 1 1 1 4 1 1 1 1 5
(((if x <= 0 then 1 else (((x - ((x * 2) div (1 - ((2 + 2) * 2)))) * 2) div (2 + 1))) + ((x * 2) * 2)) + (((x + 1) * 2) div ((2 + 2) + 1)))
A137002: 1 5 11 15
A314065: 1 5 11 15 22 26 31 37 42 48 52 58 63 68 74 79
(((loop(\(x,i).(x * 2),(x - (((x div 2) - (((x div ((2 - (((x div 2) * x) mod 2)) + 2)) * (2 + 1)) div 2)) - 1)),1) * (x + 2)) div 2) - 1)
A147760: 1 5 7 39 47 111 127 1151 1279 2815 3071 13311 14335 30719 32767 557055
(if x <= 0 then 0 else (2 - (((((((x * 2) mod (((((2 - x) div 2) mod (2 + 2)) * 2) - 1)) div 2) + 2) mod ((x div (2 + 1)) + 1)) + 1) mod (2 + 1))))
A226456: 0 1 1 1 0 1 2 2 2 2 2 1 0 1 2 2
(((if x <= 0 then 1 else ((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1))) + ((x * 2) * 2)) + (((x * 2) + 1) div (2 + 1)))
A314945: 1 5 9 14 20 24 30 35 39 44 49 53 58 64 68 74
(if (((x div 2) + 1) mod ((x div ((2 + 2) + 1)) + 1)) <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A215703: 1 1 1 1 1 0 1 1 2 0 1 1 4 3 0 1
loop(\(x,i).(x div (((1 - (x mod (2 + 1))) * (2 + 1)) + 1)),1,(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A343316: 0 0 0 0 1 0 0 ~1 ~1 0 0 0 4 0 0 0
compr(\x.(if x <= 0 then 1 else ((x mod (((x div (2 + 1)) + 2) + 2)) - 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A050178: 1 1 1 1 5 1 1 6 6 1 1 7 20 7 1 1
(((if x <= 0 then 1 else ((x * 2) * (2 + 1))) - ((((x - ((1 - (x div 2)) div (2 + 1))) mod (2 + 1)) + x) div (2 + 1))) - ((x + 1) div (2 + 1)))
A315322: 1 6 10 16 21 27 32 37 43 48 54 58 64 70 74 80
(((((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1)) + x) + (if x <= 0 then 1 else ((x * 2) * 2))) + ((x + 1) div (2 + 1)))
A314163: 1 5 11 16 22 28 34 39 45 50 55 61 66 72 78 84
(((((((x - (((x div 2) div (2 + 1)) mod 2)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 1 else (((2 + 2) + 1) * x))) - ((x + 1) div (2 + 1)))
A313769: 1 5 10 15 21 25 30 35 39 45 50 55 60 65 70 75
((((if x <= 0 then 1 else ((x * 2) * 2)) - ((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1))) + x) + ((x + 1) div (2 + 1)))
A314099: 1 5 11 16 20 26 30 35 41 46 51 57 62 66 72 76
((((if x <= 0 then 1 else ((x * 2) * 2)) - ((((x * 2) div (((x div ((2 + 2) * 2)) + 2) + 2)) * 2) div (2 + 1))) + x) - ((x + 1) div (2 + 1)))
A314828: 1 5 9 14 18 22 26 31 35 40 45 49 54 58 62 66
(((((((((((x div ((if (x - ((2 + 1) * 2)) <= 0 then 1 else 2) * (2 + 1))) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A055748: 1 1 2 2 2 3 4 4 4 4 5 6 7 8 8 8
(((((((((((loop(\(x,i).(((2 - x) * 2) + (x div 2)),(x + 1),(2 + 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2) div 2) + 1) * 2) div (2 + 1))
A246579: 0 0 0 0 0 0 0 0 0 1 ~1 2 ~3 5 ~7 11
(((((((((loop(\(x,i).((((x + 2) * 2) * 2) + x),x,1) * (x + 1)) * (x + 1)) div 2) div (2 + 1)) + 1) div (2 + 1)) + 2) * 2) mod (2 + 1))
A175083: 1 1 1 0 1 2 1 0 0 2 1 2 1 1 1 0
((x * 2) - (1 - ((((if x <= 0 then 1 else ((((x - ((x div 2) mod ((0 - 2) - 2))) div ((2 + 2) + 1)) + (x * 2)) * 2)) + 2) * 2) div (2 + 1))))
A137002: 1 5 11 15
A314025: 1 5 11 15 20 25 29 34 39 43 49 54 59 65 69 74
((x * 2) - (1 - ((((if x <= 0 then 1 else (((x - (((x - ((x div 2) div (2 + 1))) * 2) div (2 + 1))) + (x * 2)) * 2)) + 2) * 2) div (2 + 1))))
A315426: 1 6 11 15 21 26 32 37 43 47 52 58 64 69 73 79
((((((((((loop(\(x,i).((((x * 2) div ((2 + 2) + 1)) + x) + 2),x,2) + x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x) div (2 + 1))
A005140: 0 1 1 2 3 4 5 6 7 10 13 16 22
(((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * 2) * (2 + 1)) - 1) div ((2 + 2) + 1)) + x) + 2) + x) div (2 + 1))
A061979: 1 2 3 5 7 9 11 12 15 18 19 22 25 26 28 31
((((((((((((((loop(\(x,i).((i + 2) * x),x,1) div (2 + 1)) * 2) + 1) * 2) + 1) * (x - 1)) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 1)
A330474: 1 1 2 7 48 424
((((((((((loop(\(x,i).(x - (((x div (2 + 2)) - 1) div 2)),2,(x - 1)) + x) + 2) + x) + x) + 2) * 2) div (2 + 1)) - 1) + (x * 2)) + 1)
A190374: 3 8 12 17 21 25 30 34 39 44 48 53 58 62 66 70
((x + 1) div ((((((((((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) + (x mod 2)) + 1))
A055941: 0 0 1 0 2 1 2 0 3 2 3 1 4 2 3 0
(((((((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + 1) + (x mod 2)) - 1)
A300510: 0 1 2 1 3 3 3 1 4 4 5 3 5 4 6 1
((((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) - (x mod 2)) + 1)
A345182: 1 0 1 1 1 2 1 2 2 2 1 5 1 2 3 4
(if (x - 1) <= 0 then x else ((((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1)) div 2) + (x mod 2)) + 1))
A323014-A293227: 0 1 1 2 1 3 1 2 2 3 1 4 1 3 3 2
(compr(\x.((((((((x * 2) mod ((x div (2 + 1)) + 2)) + 1) div 2) * (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) + 1) mod (x + 1)) - 1),x) + 1)
A081998: 1 2 3 4 5 7 9 11 13 17 19 21 23 26 29 31
(((((((loop(\(x,i).(((((x * x) * (x * x)) + 1) * ((x * x) + 1)) * (x + 1)),1,(x * x)) * (x + 1)) * x) + 1) * x) + 1) * x) + 1)
A269446: 1 19 524287 581130733 91625968981 4768371582031 121871948002099 1899815864228857 20587884010836553 168856464709124011 1111111111111111111 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * (((2 + 2) * 2) + 1)) + 1) mod (x + 1)) - 2),x) + 1)
A066050: 1 2 3 4 5 7 9 10 11 13 17 19 23 29 31 37
((((x + 1) div (((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) + (x mod 2)) * 2) - 1)) + 1) mod (x + 1))
A317840: 0 1 1 1 1 2 1 1 2 3 1 2 1 3 4 1
((((loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),(2 + 1)) div 2) div 2) + ((x * 2) * 2)) div (x + 1))
A267592: 0 3 3 4 3 4 4 6 3 4 4 5 4 5 5 7
(((if x <= 0 then 0 else ((((((((((x - (x div (2 + 1))) div (2 + 1)) + 1) * ((x div 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) * 2)
A050829: 2 4 4 4 6 6 8 8 8 8 10 10 12 14 16 16
((((((((x + 1) div ((((if ((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) <= 0 then 1 else x) + 1) mod (2 + 1)) + 1)) + 1) div 2) + 1) div 2) + 1) * 2)
A283207: 2 2 4 4 4 4 4 4 4 4 4 8 6 4 6 6
((x + 1) div (if x <= 0 then 1 else (((((((((((x * x) * x) * (x * x)) mod ((((2 + 2) * 2) * 2) + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2)))
A128764: 1 1 0 1 1 1 1 1 2 2 2 2 3 2 2 4
((((((((((if x <= 0 then 1 else (((((0 - x) * x) mod ((2 + 1) * 2)) + 1) * 2)) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + 1) div 2)
A178771: 0 1 1 1 1 2 1 2 1 2 2 3 1 4 2 3
(((((((((if x <= 0 then 0 else 2) + 2) * 2) * (2 + 1)) * ((((x + 1) div 2) mod (2 + 1)) + 1)) * (x + 1)) - 1) mod (((2 + 1) * 2) + 1)) + 2)
A255823: 6 6 5 2 4 5 8 7
(((x div (2 + 2)) + 1) - (((((if (x - 1) <= 0 then 1 else ((((((x mod 2) + 2) * (x + 1)) div 2) + 1) div 2)) + (x mod (2 + 1))) div 2) + 1) mod 2))
A317192: 0 1 0 1 1 2 1 2 3 2 3 3 4 3 4 3
((if ((x + 1) mod (2 + 2)) <= 0 then 1 else ((((2 + 1) div ((2 - ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) div 2)) + 2)) * 2) + 1)) div 2)
A321609: 1 0 1 0 1 1 0 0 1 1 0 0 3 1 1 0
(1 - ((((((x div ((((2 + 2) * 2) * 2) - 1)) * (2 + 1)) - (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) + 1) * 2))
A093893: 1 3 5 7 11 13 17 19 23 29 31 37 41 43 47 49
(((loop(\(x,i).((x * 2) * (2 + 1)),(((x - 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) div (((2 + 2) * 2) + 1)) * (2 + 1)) div 2)
A173066: 0 0 0 0 0 0 0 6 0 0 0 6 0 6 6 36
((1 - ((((((x div ((loop(\(x,i).((2 + 1) * x),(((x - 1) div 2) mod (2 + 2)),1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))) + 2)
A008335: 1 1 2 1 2 2 2 2 2 3 1 2 3 2 2 2
((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((x div (2 + 2)) + 1) * 2)) + 1) div 2) + 1) * 2) div (2 + 1)) * 2)
A255336: 0 2 2 2 4 2 2 4 4 4 2 2 2 4 6 4
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) mod ((((2 + 1) * 2) mod (x + 1)) + 2))
A173438: 0 1 1 2 1 0 1 3 2 2 1 3 1 2 2 4
((2 - ((x - (((((x - ((((if (x mod (2 + 1)) <= 0 then 1 else 2) + x) div (2 + 2)) * 2)) * (x div (2 + 1))) + 1) * (2 + 1)) - 1)) div 2)) div 2)
A036500: 1 1 1 1 2 2 6 4 5 10
(x - (((((((((if ((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) - 1) <= 0 then x else 0) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) div 2) div 2))
A330292: 0 1 2 3 4 5 5 6 7 9 8 11 9 13 14 10
((((((((((loop(\(x,i).(x * 2),(((x div (2 + 2)) + x) + 2),2) - 1) + (((x * 2) + 1) * 2)) + 1) div 2) div 2) + 1) + x) + 2) * 2) * 2)
A308664: 20 36 60 100 300
(((((((((((((loop(\(x,i).((x + 1) * 2),(x div 2),(x mod 2)) div 2) + 1) div 2) * 2) * 2) + 1) + x) + x) div (2 + 1)) + 2) + x) div 2) div 2)
A241651: 0 1 1 2 2 3 4 5 6 8 10 13 16 22 27 38
loop(\(x,i).((((x div (2 + 2)) * 2) + 1) * x),1,(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)))
A141542: 1 1 1 1 2 1 1 3 3 1 1 12 18 12 1 1
(((((((((((if x <= 0 then 1 else ((((x div 2) div ((2 + 2) + 1)) + x) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1) + (x mod 2)) div 2) + x) + 2)
A284657: 2 5 6 9 11 14 16 19 20 23 26 29 30 33 35 38
(if x <= 0 then 1 else ((((((((((((((x * 2) - (x mod ((2 + 2) + 1))) + 1) * (2 + 1)) div 2) div 2) + 1) + x) div 2) + 1) + x) div 2) + x) * 2))
A311347: 1 4 8 12 16 22 26 30 34 38 44 48 52 56 58 64
(((if x <= 0 then 1 else ((x mod ((((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) mod (x + 1)) + 1)) * 2)) * (2 + 1)) div (x + 2))
A080024: 1 2 0 3 0 0 0 4 1 0 0 0 0 0 0 5
((((((((x div ((x mod ((loop(\(x,i).((x + 1) * (2 + 1)),x,0) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2))
A127971: 1 2 2 2 3 3 3 2 4 4 5 3 5 4 4 2
((((((((x div ((loop(\(x,i).(((x - (x div (0 - 2))) * 2) + 1),x,0) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2))
A035191: 1 2 1 3 2 2 2 4 1 4 2 3 2 4 2 5
(if x <= 0 then 1 else ((((((((((((((x - (x div ((0 - 2) - 2))) div 2) * 2) + x) * (2 + 1)) div 2) div 2) + x) div 2) + x) + 2) + x) + x) - 2))
A058759: 1 4 8 13
A311851: 1 4 8 13 17 21 26 30 34 39 43 47 51 56 61 64
compr(\x.(1 - (((compr(\x.((x + 1) mod ((x mod (((loop(\(x,i).(((2 + 1) * x) + 2),x,0) mod (x + 1)) + 2) * 2)) + 1)),x) + 2) * 2) mod (2 + 1))),x)
A228082: 0 2 3 5 7 8 9 10 11 12 14 16 17 19 20 22
((x mod ((x mod ((((((((((((x div (2 - (x mod 2))) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2) - 1) mod (x + 1)) + 1)) + 1)) + 1)
A295310: 1 2 1 2 1 2 1 8 3 2 1 12 1 2 1 2
((((2 + 2) + 1) mod (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) mod (x + 1)) + 1)) + 1)
A146531: 1 1 1 1 3 1 1 1 1 1 1 6 2 6 1 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1)
A003991: 1 2 2 3 4 3 4 6 6 4 5 8 9 8 5 6
(((((((((0 - (((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) mod (2 + 1)) + 1) mod 2) * (2 + 1)) + 1)
A145079: 1 1 1 1 1 4 1 4 4 4 1 4 4 1 4 1
(((((((((((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A138904: 1 1 1 2 1 1 1 3 1 1 2 1 1 1 1 4
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * (((2 + 1) * 2) + 1)) + 2) div (2 + 1)) + 1)
A144480: 1 1 1 1 4 1 1 6 6 1 1 8 18 8 1 1
(((((x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) * 2) * 2) div (2 + 1)) + 1)
A299201: 1 1 1 2 1 2 1 3 2 2 1 5 1 2 2 5
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (1 - (((x div 2) mod 2) * 2))) * 2) div (2 + 1)) + 1)
A133815: 1 1 1 1 1 1 1 ~1 2 1 1 ~1 3 3 1 1
(((x * 2) mod (compr(\x.(((((1 - (((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2)) * ((x div 2) + 1)) div 2) mod 2) - (x mod 2)),x) + 1)) + 1)
A200262: 1 1 1 1 2 3 4 5 5 5 6 7 7 7 7 8
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((x div 2) mod 2) + 2) + 1)) + 1)) div 2) + 1)
A160449: 1 1 1 1 2 1 1 3 4 1 1 5 11 8 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div (((x mod 2) + 2) * 2)) + 1)) + 1) div 2) + 1)
A104559: 1 1 1 1 2 1 1 3 4 1 1 4 9 6 1 1
((((((((((((((2 + 1) * x) - 2) * (x - 1)) div 2) + 1) div 2) div ((2 + 2) + 1)) + 1) * ((x * 2) + 1)) div (2 + 1)) + 1) div 2) + 1)
A029866: 1 2 2 2 4 7 12 16
((((((((x div ((((((x - 1) * x) mod ((((x div 2) div (2 + 1)) + 2) + 1)) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1)
A096492: 1 1 2 1 1 2 2 2 1 1 2 2 2 3 2 1
((((x div ((((((((((x mod ((x div (2 + 2)) + 2)) + 1) mod 2) * 2) - (x mod (2 + 1))) * 2) * 2) - 1) mod (x + 1)) + 2)) + 1) div 2) + 1)
A255191: 1 1 1 1 2 1 3 2 1 1 2 2 2 2 1 2
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((x div 2) mod 2) + 2) * 2)) + 1)) div 2) + 1)
A080853-A071922: 1 1 1 1 2 1 1 3 4 1 1 4 9 7 1 1
(((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * x) div ((2 + 2) + 1)) * ((2 + 2) + 1)) div 2) + 1)
A174116: 1 1 1 1 1 1 1 3 3 1 1 6 18 6 1 1
((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) * (2 + 1)) div 2) + 1)
A296990: 1 1 1 1 2 1 1 4 4 1 1 7 14 7 1 1
(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (1 - (((((x + 1) div 2) div 2) div 2) * 2))) + 1) mod (((2 + 1) * 2) + 1))
A204244: 1 1 1 1 2 1 1 0 0 1 1 0 6 0 1 1
(1 - ((x + 1) div ((((x + 1) div (1 - (((x div 2) div ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) * 2))) * 2) + 1)))
A290103-A225395-A156061: 1 1 2 1 3 2 4 1 2 3 5 2 6 4 6 1
((((((x div ((x mod ((x div ((((x mod (((x div (2 + 1)) * 2) - 1)) mod 2) * 2) + 1)) + 2)) + 1)) + 1) * ((2 + 2) + 1)) div 2) div 2) - 1)
A284075: 0 0 0 0 0 0 0 1 0 0 0 6 15 0 0 0
((((((((((((x * x) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) * 2) - 1) - 1) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + 1) mod (2 + 1))
A290320: 1 1 1 1 1 0 1 2 2 1 1 2 2 1 0 1
(2 - ((((x mod ((((((((x mod ((x mod (2 + 2)) + 2)) + 1) * 2) mod ((x div 2) + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1) mod (2 + 1)))
A157045: 1 1 0 1 1 0 1 1 1 0 1 1 2 0 0 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div ((2 + 2) + 1)) * 2) + 1)) + 1) * ((2 + 2) + 1)) div (2 + 1))
A114176: 1 1 1 1 3 1 1 6 6 1 1 10 18 10 1 1
(((((((((((((((x * 2) * 2) + 1) div ((x div ((2 + 2) * 2)) + 2)) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) * 2) + 1) mod (2 + 1))
A049321: 0 0 1 2 0 0 1 2 1 2 0 1 2 0 0 1
((((((((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + 2) * 2) + (x mod (2 + 1))) div (2 + 1)) + 1) * 2) mod (2 + 1))
A152815: 1 1 0 1 1 0 1 1 0 0 1 2 1 0 0 1
(((((((((((((x * 2) * 2) + 1) * 2) + (x div (2 + 1))) * (((x + 1) * 2) + 1)) div 2) div (2 + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))
A219494: 1 1 0 0 0 0 0 1 2 2 1 0 0 0 0 1
((((((x div (((((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) * 2) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1))
A124737: 0 0 1 0 1 1 2 0 1 1 1 2 2 2 3 0
((((((((((((x - ((((1 - x) * 2) div ((2 + 2) + 1)) - 1)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + x) + 2) * 2) div (2 + 1))
A260317: 1 2 3 4 5 6 8 10 11 13 14 16 19 21 24 26
(((((((x - ((x * x) div ((((((x - 1) * x) div (((2 + 2) * (2 + 1)) - 1)) + 2) + 2) + 2))) + 2) + x) + x) div 2) * 2) * (2 + 1))
A188158: 6 12 24 30 36 42 48 54 60 66 72 84 90 96 108 114
(((((((((((((((x div (((2 + 1) * 2) + 1)) + x) + 2) * (x + 2)) div 2) div 2) div 2) + x) div 2) * (2 + 1)) div 2) + 1) + x) div 2) + 1)
A026480: 1 2 4 5 6 7 9 11 13 15 17 19 21 23 27 29
((((((((((x mod (((2 - ((x * 2) mod ((x div 2) + 2))) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) - 1)
A244417: 0 1 1 2 0 1 0 3 2 1 0 2 0 1 1 4
(((x div ((x mod (((x + 1) div (((((x * 2) div (((x + 1) div ((2 + 2) + 1)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + (x mod 2)) + 1)
A327530-A327513: 1 2 1 3 1 3 1 4 1 3 1 5 1 3 2 5
(((((((((x + 1) mod ((((x div 2) div (((((x + 1) div 2) div 2) div 2) + 1)) * 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) mod (x + 1))
A061394: 0 1 1 2 1 2 1 2 3 1 2 2 3 1 2 2
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2) * (((2 + 2) * (2 + 1)) - 1)) + 1) + 2)
A153491: 3 3 3 3 14 3 3 25 25 3 3 36 58 36 3 3
(1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x mod ((((x mod 2) - 2) - 2) - 1)) + 2) * 2) + 1)) + 1) div 2))
A265313: 1 1 1 1 ~1 1 1 ~1 0 1 1 ~1 2 1 1 1
((((((((((((((((x * 2) + 1) * 2) * 2) * (2 + 1)) div ((x + 2) + 2)) + x) + 1) * (2 + 1)) div 2) + 1) div 2) + 1) div 2) + 1) + 2)
A213443: 5 7 8 9 10 11 12 12 13 13 14 15 15 16 16 16
((x + 2) div ((((((((((((x + 2) mod ((((x * 2) mod (2 + 1)) * 2) + 1)) * 2) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2))
A216266: 1 0 1 1 1 0 2 0 1 1 0 1 2 2 1 2
(((((((((((((x + 1) * 2) * ((2 + 2) + 1)) + x) mod ((((2 + 2) * 2) * 2) - 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1) div 2)
A190683: 2 2 1 3 2 1 1 3 2 1 0 3 2 1 3 2
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((2 - (x mod 2)) * 2)) + 1)) div 2) + 1) div 2)
A298719-A298133-A298070-A297866: 0 0 0 0 1 0 0 2 2 0 0 5 4 5 0 0
(((((compr(\x.((((((((x + 1) div ((x div ((2 + 2) * 2)) + 2)) + 1) * 2) * 2) div (2 + 1)) + 1) mod (2 + 1)),x) + 1) div 2) div 2) + 1) + 2)
A011375: 3 3 4 4 5 5 5 6 7 8 8 8 8 9 9 9
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((((x div (2 + 1)) + 1) div 2) * 2) * 2) + 1)) div 2)
A278177: 0 0 0 0 2 0 0 5 5 0 0 13 18 13 0 0
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (2 - ((x div 2) mod 2))) + 1)) + 1) mod (((2 + 2) * 2) + 1)) div 2)
A173541: 0 0 0 0 2 0 0 0 3 0 0 2 3 4 0 0
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * (((x + 1) div 2) div 2)) + 1) * (2 + 1)) div 2)
A046802: 1 1 1 1 3 1 1 7 7 1 1 15 33 15 1 1
(1 - (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((2 - x) div 2) * (2 + 1)) div 2)) + 1) div 2) * (2 + 1)) div 2))
A173076: 1 1 1 1 3 1 1 4 4 1 1 7 13 7 1 1
((((x - ((2 - ((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) + 1) mod ((2 + 2) + 1)) - 1)) div 2)) mod 2) + 1) + ((x + 1) div 2))
A327982: 1 2 2 3 4 5 5 5 6 7 7 7 7 8 8 9
(((((((((((((x - (x div (((2 + 2) * (2 + 1)) - 1))) * (2 + 1)) div 2) + 2) + 2) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) div 2)
A067570: 0 1 2 3 4 5 7
A089237: 0 1 2 3 4 5 7 9 11 13 16 17 19 23 25 29
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - ((((x + 1) div 2) div 2) * 2))) + 1) * ((2 + 2) + 1)) div 2) div 2)
A271942: 1 1 1 1 3 1 1 5 6 1 1 7 16 10 1 1
(((((((((((((x div (2 + 2)) + 1) * ((2 + 2) + 1)) mod (x + 1)) + 2) + 2) + 2) + 1) * (x + 1)) div (2 + 1)) * (2 + 1)) div 2) - 2)
A251965: 1 5 11 13 14 31
((((((((((x + 2) mod ((((((x div 2) * x) + 1) div (2 + 1)) mod (2 + 1)) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) * (2 + 1)) div 2) div 2)
A295931: 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 6
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x + 1) mod (2 + 2))) + 2) * (2 + 1)) div 2) div 2)
A326153: 1 1 1 1 2 1 1 1 3 1 1 1 4 6 1 1
((((((((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) mod ((2 + 2) + 1)) + 1) mod (2 + 1)) * 2) + 1) mod (x + 1)) + 2) div 2)
A254123: 1 1 1 2 1 2 2 1 2 2 2 3 1 2 2 2
(((((((x * 2) div ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 2) * 2) mod (x + 1)) + 2) div 2)
A155582: 1 1 1 1 2 1 1 3 3 1 1 2 7 2 1 1
(1 - ((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (1 - ((x div ((2 + 2) + 1)) * 2))) div 2) * 2))
A176344: 1 1 1 1 1 1 1 3 3 1 1 11 13 11 1 1
((((((((x + 1) mod ((((x mod (((((x mod ((x mod 2) + 2)) * 2) * 2) * 2) + 1)) + 1) * 2) + 1)) * 2) mod (x + 1)) + 2) + x) div 2) div 2)
A322141: 0 0 1 1 2 1 2 2 2 3 4 3 4 5 4 4
(2 - ((((((((((((((x div (((2 + 1) * 2) + 1)) * x) div 2) + 1) div 2) + x) + 2) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) - x))
A225633: 0 0 1 2 2 3 3 3 3 4 4 5 5 6 5 5
(((((((((((((((((x div 2) div (2 + 1)) mod 2) + x) * 2) + x) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A191771: 1 4 5 7 9 10 13 14 16 18 19 22 23 24 26 28
(((((((((((((((((x div 2) + 1) div 2) * (2 + 1)) div 2) + x) * 2) + 1) + x) + x) div (2 + 1)) + 1) + x) * 2) div (2 + 1)) + 1) + x)
A178598: 1 4 7 10 12 14 18 20 23 26 29 31 34 36 40 42
((((((((((((2 - ((2 - x) div (2 - (x div ((0 - 2) - 2))))) * (2 + 1)) + x) div 2) + 1) * 2) div (2 + 1)) + 1) + x) + 2) + 2) - x)
A168679: 6 7 8 9 9 10 10 11 12 12 13 13 13 13 14 15
((((((((((((((((((x div 2) + x) div (2 + 2)) * 2) + x) + 1) * x) div 2) + 1) div 2) div 2) + 1) * (2 + 1)) div 2) div 2) + x) div 2) + x)
A186705: 0 1 3 5 7 9 12 14 18 20 23 27 30 33
((if x <= 0 then 0 else 1) - (loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).(x * 2),x,(loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((x * 2) + 1),x,0)))))
A178690: 0 0 0 36 432 3660 27000 185556 1223712 7862940 49653000 309776676 1915868592 11772890220 71992229400 438593697396
(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,1) div loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).((2 + 1) * x),x,1) + loop(\(x,i).((x * 2) + 1),x,0))))
A280127: 1 0 1 1 1 2 3 3 4 5 7 8 11 13 16 20
loop(\(x,i).((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)),1,(x - (if x <= 0 then 0 else 1)))
A032741: 0 0 1 1 2 1 3 1 3 2 3 1 5 1 3 3
(1 - (if x <= 0 then 0 else (((if (x mod 2) <= 0 then (if x <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,((x div (2 + 2)) + 1)) mod (x + 1)) div 2) + 1) * 2)) else 1) div 2) + 1)))
A181587: 1 0 ~1 0 ~2 0 ~2 0 ~2 0 ~2 0 ~3 0 ~1 0
(((loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 1) * 2) + 1)
A097524-A073703: 3 5 3 3 7 3 3 3 7 3 5 5 7 3 3 3
((((loop(\(x,i).(((loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x) + x) - (x mod 2)) + 1),x,1) div 2) + 2) * 2) div (2 + 1))
A028825: 1 2 2 3 3 4 4 4 5 6 6 7 7 8 10 11
(((((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),2,x) - 1) + x),x,x) div 2) + 1) + x) * 2) + 1)
A284795: 3 5 11 13 15 17 21 23 27 29 35 37 39 41 47 49
(((loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 1)) + x) + (x mod 2)) div ((x mod 2) + 1))
A066030: 1 1 1 2 2 1 1 2 3 2 2 2 2 1 1 3
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025942: 1 23 361 4907 62545 773171 9415897 113824139 1370909089 16481083619 197954225833 2376538571771 28524991618033 342339076723667 4108303998843769 49301058498065003
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025951: 1 25 423 6125 82103 1054725 13214671 163046125 1992333255 24194295125 292622085119 3529789897725 42504079369207 511221761969125 6144043634254767 73803583579040525
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025964: 1 23 359 4843 61287 753315 9137263 110167211 1324737623 15911030707 191005360767 2292437677179 27511152416359 330143464656899 3961770291040271 47541489215721547
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025982: 1 27 487 7431 103951 1382439 17812639 224794647 2797053391 34460823111 421597615231 5131789410423 62235068724271 752703321093543 9085382857597663 109501083478899159
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025936: 1 22 333 4406 55133 673566 8144701 98052262 1178225565 14146756910 169801508669 2037820760118 24454863987997 293463446955454 3521586773279037 42259168371397574
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025954: 1 26 457 6854 94789 1251002 16035889 201651758 2502830077 30781099778 376097622121 4573691815862 55428986530165 670050005786954 8084719590584353 97413710820261566
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A025937: 1 18 211 2052 18025 148806 1179487 9089784 68647909 510709914 3756191803 27381204396 198197187553 1426557620142 10220981500759 72957382445088
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025987: 1 21 285 3185 31941 299481 2685565 23352945 198684981 1663903241 13774041645 113050606305 921961387621 7483064823801 60518933442525 488128819261265
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028033: 1 21 283 3129 31003 287217 2547091 21931833 185027755 1538650113 12663786499 103454051337 840560481307 6802315926609 54886579262707 441905197121241
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A026561: 1 25 405 5405 64661 721725 7683685 79078285 793624821 7813101725 75772440965 726132366765 6891899656981 64900354798525 607206802510245 5650395374640845
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025965: 1 19 233 2351 21273 179823 1452361 11360767 86821625 652052687 4832272809 35441720223 257820455257 1863247878511 13394300154377 95871638560319
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028025: 1 18 205 1890 15421 116298 830845 5709330 38119741 249026778 1599719485 10142356770 63639854461 396031348458 2448208592125 15053605980210
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028034: 1 22 313 3682 39109 391174 3769921 35484394 328932637 3018821806 27523981849 249859595986 2261664434485 20432811986518 184363359728497 1662082800576058
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025988: 1 22 315 3740 40121 405042 3935095 37284280 347419941 3201202862 29273641475 266321046420 2414445954961 21837387317482 197190900709455 1778695458106160
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 1) * x) + 1),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A071952: 1 40 1092 25664 561104 11807616 243248704 4950550528 100040447232 2013177300992 40412056994816 810023815790592 16221871691714560 324694197936160768 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025940: 1 21 295 3525 38911 411741 4255255 43385925 438878671 4418961261 44370835015 444796211925 4454490876031 44584086067581 446075938835575 4462169900295525
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025943: 1 20 263 2890 28833 271320 2457211 21670550 187473605 1598611300 13480822719 112690635330 935435043817 7720854845360 63428474542787 519059289782830
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025959: 1 18 209 1998 17157 137970 1063273 7962966 58471853 423482202 3037367697 21634921854 153344743189 1083048862914 7630057197881 53656123623462
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025972: 1 22 317 3806 41421 424974 4198189 40430302 382529741 3573890606 33084972141 304212832638 2783085627661 25364095795918 230491675046573 2089930913053214
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((x * 2) * 2) * 2),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025971: 1 21 287 3249 33159 317457 2913079 25951233 226266887 1941258033 16450020951 138048250977 1149556141735 9512774280849 78317007130103 642041894674881
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025931: 1 17 188 1726 14343 112371 848506 6255392 45386165 325753285 2320698744 16447547298 116147697667 818112983159 5752200695702 40392496919044
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025944: 1 21 292 3414 36439 368607 3604114 34449888 324158197 3016246233 27838148416 255387389322 2332396465075 21228942680499 192722119904398 1746130572580116
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028027: 1 20 257 2716 25809 230244 1975009 16524332 136058417 1108775668 8975764161 72350153148 581586939025 4666887733892 37407122372513 299621333407564
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028043: 1 24 373 4788 55321 599088 6215581 62589516 616742401 5979165192 57244372549 542670685284 5103872340841 47693804106336 443316920660077 4102438007485692
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025997: 1 24 375 4850 56481 616164 6434155 65146950 644889861 6275802104 60272841135 572861926650 5399415089641 50546032304844 470534835243315 4359828735795950
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025949: 1 23 353 4579 54393 613419 6692161 71391683 749696585 7783261915 80123162769 819556503987 8342165636377 84594465902411 855327149649377 8628331464477091
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A025962: 1 21 293 3465 37821 396081 4058293 41102985 413760941 4151788641 41590878693 416282134905 4164721639261 41656852053201 416617235689493 4166418080133225
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A025980: 1 25 413 5717 71949 854517 9768541 108728389 1186801517 12764197589 135709713789 1429715165541 14950747454605 155389970948341 1606842713958557 16544916327312773
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A025928: 1 20 275 3310 37761 421440 4662175 51395570 565817021 6225908260 68492850075 753453315030 8288115908281 91169797529480 1002869877293975 11031577111093690
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A028028: 1 21 286 3234 33187 322455 3035152 28040628 256229413 2326373049 21042916258 189930286182 1712158289479 15423616827003 138884571944404 1250325501927096
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A025934: 1 20 269 3100 33261 344580 3507709 35392940 355527821 3563328340 35673709149 356939747580 3570412342381 35709202523300 357117435046589 3571301442515020
(loop(\(x,i).((2 + 1) * x),x,1) - ((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1)))
A135163: 0 3 29 237 1841 13893 102689 747477 5380481 38419653 272767649 1928673717 13597673921 95669893413 672124323809 4717058247957
(loop(\(x,i).((2 + 1) * x),x,1) - ((loop(\(x,i).(((2 + 2) + 1) * x),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1)))
A135164: 2 7 37 253 1873 13957 102817 747733 5380993 38420677 272769697 1928677813 13597682113 95669909797 672124356577 4717058313493
(((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A135168: 4 17 87 503 3123 20207 134067 903983 6162243 42326927 292300947 2026334063 14085963363 98111316047 684331387827 4778093469743
(((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1))
A135167: 2 13 79 487 3091 20143 133939 903727 6161731 42325903 292298899 2026329967 14085955171 98111299663 684331355059 4778093404207
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - ((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1)))
A135165: 0 7 61 433 2929 19657 132481 899353 6148609 42286537 292180801 2025975673 14084892289 98108111017 684321789121 4778064706393
(loop(\(x,i).(((2 + 2) + 1) * x),x,1) - ((loop(\(x,i).((2 + 1) * x),x,1) - loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1)))
A135166: 2 11 69 449 2961 19721 132609 899609 6149121 42287561 292182849 2025979769 14084900481 98108127401 684321821889 4778064771929
(((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1))
A135162: 0 1 19 199 1711 13471 101359 743359 5367871 38381311 272651599 1928323519 13596619231 95666721151 672114790639 4717029615679
(((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).((2 + 1) * x),x,1)) - loop(\(x,i).(((2 + 2) + 1) * x),x,1)) - loop(\(x,i).(x * 2),x,1))
A135161: ~2 ~3 11 183 1679 13407 101231 743103 5367359 38380287 272649551 1928319423 13596611039 95666704767 672114757871 4717029550143
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + x) + (x * 2)),x,1)
A025952: 1 24 385 5220 64741 760944 8633305 95554140 1038550381 11132642664 118050851425 1241028864660 12954973386421 134451901289184 1388638534032745 14283461073576780
compr(\x.(((loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),(x - 1),x) + x) mod (2 + 1)) - 1),(x + 1))
A143070: 2 4 5 6 9 10 11 12 13 14 16 19 21 22 23 25
loop(\(x,i).(loop(\(x,i).((((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0)) div (x + 1)) + 1) * 2),1,i) * x),x,1)
A198176: 1 6 168 26880
((x + 1) div (((x div 2) div ((loop(\(x,i).loop(\(x,i).((if x <= 0 then 2 else loop(\(x,i).(x div (2 - (x mod 2))),x,x)) div 2),2,x),1,(x + 1)) mod (2 + 1)) + 1)) + 2))
A083415: 0 1 1 2 1 1 2 2 1 1 3 1 2 2 1 3
((loop(\(x,i).compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 1) * 2)
A073123: 4 6 12 18 36 42 60 70 88 112 130 162 180 192 222 250
(loop(\(x,i).(x * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + x),1) div 2)
A077748: 1 2 4 2 2
A058384: 1 2 4 2 2 4 16 2 2 4 2 4 8 2 2 4
(loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),2),1,i) + x),x,1) div 2)
A268514: 0 1 3 4 8 10 12 13 21 25 29 31 35 37 39 40
((((loop(\(x,i).(loop(\(x,i).compr(\x.(1 - loop(\(x,i).(if (x mod (i + 1)) <= 0 then 0 else x),(x div 2),((x + 2) * x))),(x + 1)),1,i) + x),x,1) + x) + 2) + 2) + x)
A086168: 5 12 25 44 75 118 179 252 355 464 603 754 935 1128 1327 1556
compr(\x.((loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((((2 + 1) * 2) * (2 + 1)) + 1)))),x,(x + 1)) + x),2,x) + 1) + x),x)
A101373: 1 2 3 4 5 6 7 8 9 10 11 13 15 19 20 22
loop(\(x,i).(x div (2 - (x mod 2))),1,((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)))
A296082: 0 1 1 1 1 3 1 3 1 3 1 5 1 3 3 2
loop(\(x,i).(loop(\(x,i).((x * x) + 2),2,2) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165859: 1 38 38 1444 38 1444 38 54872 1444 1444 38 54872 38 1444 1444 2085136
((((((loop(\(x,i).loop(\(x,i).((x * x) * x),(2 + 2),2),(x - 2),loop(\(x,i).((x * 2) * (2 + 1)),x,1)) * 2) * (2 + 1)) - 1) * 2) * (2 + 1)) + 1)
A290008: 31 211 1291 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(if x <= 0 then 0 else ((((((((loop(\(x,i).((x + 1) * 2),x,0) * x) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A329322: 0 1 1 1 1 2 1 1 3 3 1 2 1 3 5 1
(((loop(\(x,i).((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div (2 + 1)) + 1),1,(x + 1)) * 2) div (2 + 1)) + 1)
A139089: 561 4435201 691891201 39520825344001 13516122267648001 4611686018427387903 4611686018427387903 4611686018427387903
(((loop(\(x,i).((loop(\(x,i).((i + 2) * x),compr(\x.(loop(\(x,i).(1 - (x * 2)),x,1) mod (x + 2)),x),1) div (2 + 1)) + 1),1,(x + 1)) * 2) div (2 + 1)) - 1)
A139197: 559 4435199 691891199 39520825343999 13516122267647999 4611686018427387903 4611686018427387903 4611686018427387903
((compr(\x.(loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x),2,x) - 1),(x + 1)) + 1) - (((x + 2) * (2 + 1)) - 1))
A095774: 1 0 ~1 0 1 2 1 0 1 0 ~1 0 ~1 ~2 ~1 0
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).((((((x * 2) * 2) * 2) * 2) * 2) + 1),(x + 1),1) div 2) * 2),1,1) * (2 + 1)) + 1) * x),((x * 2) + 1),1)
A155484: 3169 31824875809 319603256629306849 4611686018427387903 4611686018427387903 4611686018427387903
(compr(\x.(((((if x <= 0 then 1 else (((loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then 0 else 1)) mod (x + 1)) div 2) * 2)) * 2) - 1) mod (2 + 1)) - 1),(x + 1)) + 1)
A273157: 6 10 12 14 15 18 20 22 24 26 28 30 34 35 36 38
(((loop(\(x,i).((x * 2) * 2),x,1) - loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (x + 1)) mod loop(\(x,i).((x * 2) * 2),(x - 1),1))
A094780: 0 0 2 12 58 4 100 664 3514 16916 77388 343144 1490148 6376616 26992264 113317936
(loop(\(x,i).((((loop(\(x,i).((x * x) div 2),(x - 2),loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) + x) div (2 + 1)) + 1) + x),x,1) + 1)
A089678: 2 3 5 1608
(((if x <= 0 then 2 else (((((((x div (((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,2) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) div 2) - 1)
A057094: 0 0 ~1 0 0 ~1 0 0 1 ~1 0 0 0 2 ~1 0
((((if x <= 0 then 1 else (compr(\x.(loop(\(x,i).((1 - x) * 2),x,2) mod (x + 2)),x) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1))) + 1) div 2) + 1)
A162345: 2 2 2 3 3 3 3 3 5 4 4 5 3 3 5 6
loop(\(x,i).(x * 2),1,(((((((((loop(\(x,i).((x + 2) * x),1,loop(\(x,i).(((i + 2) * x) + 1),x,1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) - 1))
A111265: 2 10 82 1894
(loop(\(x,i).(x * 2),x,1) div ((((((((loop(\(x,i).(x * 2),(x mod (2 + 2)),1) + loop(\(x,i).(x * 2),x,1)) + 2) div (2 + 1)) div 2) + 1) div 2) div 2) + 1))
A290128: 1 2 4 4 8 16 16 18
((((((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,((((x * 2) * 2) + 1) * 2)),x) * 2) + 1) * 2) * 2) * 2) - 1)
A141194: 7 23 71 103 151 167 199 263 311 359 439 487 503 599 631 647
(((((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (2 + 1)) else 1) * (((2 + 1) * 2) + 1)) + 1) * 2) div ((2 + 2) + 1))
A040282: 17 3 8 3 34 3 8 3 34 3 8 3 34 3 8 3
(if x <= 0 then 0 else ((((((loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (x * 2)),x,((((x + 2) + 2) + 2) * 2)) div (2 + 1)) + 1) div 2) div 2) + 1) mod (2 + 1)))
A235644: 0 1 1 2 1 2 1 2 1 2 1 2 2 2 2 0
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024436: 1 30 601 10122 155029 2238894 31086721 419796498 5553887821 72338375382 930742000825 11858835825018 149897892005317 1882300860052734 23506492073507953 292186168385703522
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 1) * x) * (2 + 1)) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024443: 1 29 558 8986 131243 1805223 23872696 307323332 3882264405 48383711857 597102947714 7316027902638 89165615770687 1082459954878331 13102563809462412 158253703693612504
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024445: 1 30 597 9934 149709 2121126 28836949 380838558 4924739997 62690732182 788556862821 9827670001422 121598064661165 1495950059553798 18319924811095413 223529877519404926
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020975: 1 30 607 10344 160189 2335746 32694859 444486828 5913240457 77372622822 999305059831 12772807490352 161880145667605 2037329650638858 25491080959642723 317372095748963316
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025031: 1 32 675 11830 186641 2752932 38765455 527869010 7009691181 91304772832 1171464693035 14850954198990 186462962442121 2322930268904732 28754646814361415 354082225170989770
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025008: 1 32 677 11932 189753 2826744 40267309 555414644 7478425985 98842456336 1287451399221 16573995013836 211336837165897 2673608205348008 33601552555975613 419959636392460708
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A020984: 1 32 685 12260 198121 2997512 43322245 605523020 8251539841 110243798192 1449890883805 18826690025780 241910703467161 3081364962170072 38962058064701365 489593051613776540
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A023948: 1 29 566 9346 141027 2013855 27722632 371889332 4894555493 63487825921 814150878138 10345138210758 130470568108999 1635266348565827 20389018656020684 253092309224759224
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A021021: 1 33 727 13365 221431 3428733 50631967 721942485 10021257511 136192514733 1819621847407 23973890545605 312209398691191 4026262617877533 51492399583946047 653858524870924725
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A023952: 1 25 416 5822 74319 898779 10511446 120335968 1358681621 15202492877 169098946380 1873624439778 20707233183547 228476788273759 2518219270791458 27735798399148292
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A024434: 1 28 521 8120 114765 1526196 19481953 241575376 2932083605 35012557580 412807072041 4818002535528 55771887460381 641245030592740 7331332058802545 83421584091633536
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),i,1) + (((2 + 1) * x) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A024441: 1 27 480 7090 94311 1173417 13944190 160292880 1797313221 19769671207 214195117500 2292743705070 24300717989731 255479745527397 2667841806196410 27701356042027660
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A024439: 1 27 482 7182 96843 1227609 14939644 176784444 2050941365 23457934071 265547461686 2983410454986 33332770184767 370895550650613 4114522946353808 45542666345230008
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A022455: 1 24 386 5256 65667 781200 9024772 102391152 1148621573 12793511016 141851544198 1568288482488 17306928957319 190768033959072 2101198710944264 23132476329120864
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A020973: 1 28 527 8330 119361 1607088 20736787 259516390 3174562421 38159361548 452427201447 5305418786850 61660643651881 711374339146408 8156868543440507 93047809667655710
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A024772: 1 29 554 8794 125715 1681143 21476668 265496948 3202922789 37927649617 442690769742 5108795150862 58428053357623 663418639575851 7489021847982176 84142202352592936
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A024999: 1 30 593 9738 143949 1989198 26238361 334590546 4159355717 50694901686 608290940049 7207487623674 84523773236605 982803891723294 11346293009032457 130203935811077922
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A024346: 1 27 484 7266 98959 1269177 15642586 187539120 2204181925 25529358855 292445725936 3321943348542 37489352241979 420930326166741 4707254688375814 52473555698990412
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A023540: 1 26 452 6622 88473 1117788 13616464 161765924 1887776825 21743151430 247985329956 2807195642706 31593670364257 353962564536152 3951485554056128 43987455339016168
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A023946: 1 27 488 7434 103215 1353681 17093182 210149568 2533379189 30086951895 353166486036 4106992533462 47398834914523 543607880403069 6201901277261450 70443098125125516
loop(\(x,i).(1 - ((((loop(\(x,i).loop(\(x,i).(x * x),2,((x * x) * x)),1,(((((2 + 2) + 1) * x) * 2) + 1)) div 2) div 2) div (2 + 1)) + 1)),(x * x),1)
A015418: 1 ~261535698060 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 mod ((x + 2) div (if x <= 0 then 1 else (x - loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),2)))))
A151758: 0 ~1 0 2 0 2 2 0 0 2 2 0 2 0 0 0
(((((((((loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) * (((x + 2) + 2) + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A267998: 1 1 1 1 1 2 1 1 2 4 1 1 3 5 10 1
(((if (x mod 2) <= 0 then ((if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * (((2 + 2) * 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * (2 + 1)) else 1) + 2) div 2)
A040700: 26 1 25 1 52 1 25 1 52 1 25 1 52 1 25 1
((loop(\(x,i).(x * x),1,((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1))) div 2) div 2)
A337175: 0 1 1 2 1 4 1 4 2 4 1 9 1 4 4 6
(if x <= 0 then 0 else (((((loop(\(x,i).(((x + 1) * x) div 2),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) div (2 + 1)) + 1) + 2) + 2) + 2))
A343298: 0 7 8 12 42
((loop(\(x,i).(((((if x <= 0 then 0 else (((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + ((x + 2) + 2)) + 1)) + 1) * 2) div (2 + 1)) + 1),2,x) div 2) div 2)
A318781: 1 2 2 2 3 3 3 3 3 4 3 3 4 3 4 3
loop(\(x,i).(((((loop(\(x,i).((x * 2) * 2),x,((loop(\(x,i).(x - ((1 - x) * (2 + 2))),x,((2 + 2) * 2)) * 2) + 1)) * 2) - 1) * 2) * 2) + 1),x,2)
A290047: 2 45181 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((x * x) * x),1,((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)))
A152241: 216 3375 42875 456533 2924207 10793861 33698267 83453453 296740963 726572699 1509003523 3491055413 5479701947 8254655261 15456856771 30576209383
(((loop(\(x,i).(x + 2),(x - 1),(loop(\(x,i).((x * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2)) + 2) + 1) - (x * 2))
A110496: 7 14 63 172 666 1099 2457 3430 6084 12195 14896 25327 34461 39754 51912 74439
((((((loop(\(x,i).((((if x <= 0 then 2 else (loop(\(x,i).((x * 2) * 2),(x + 1),2) - 2)) div 2) + 2) * 2),x,2) * 2) * 2) + 1) * (x + 1)) * (2 + 1)) - x)
A132645: 27 3125 4611686018427387903
compr(\x.((if x <= 0 then 0 else ((((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),x,(x * 2)) + 1) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1)) mod 2),x)
A328727: 0 1 2 3 6 9 10 11 18 19 20 27 28 29 30 33
((x mod 2) - (1 - (if (x mod ((((((loop(\(x,i).(x * 2),(2 - (x mod 2)),(x div 2)) + x) mod ((2 + 2) + 1)) * 2) + 1) mod (x + 1)) + 2)) <= 0 then 2 else 0)))
A123739: 1 0 1 2 1 2 1 0 1 0 ~1 0 ~1 0 1 0
((x mod (((2 + 2) * 2) + 1)) - ((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)))
A075491: 0 0 1 1 3 2 5 4 6 ~3 0 ~3 2 1 2 2
loop(\(x,i).(((x * 2) * 2) * ((2 + 2) + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165841: 1 20 20 400 20 400 20 8000 400 400 20 8000 20 400 400 160000
loop(\(x,i).(((2 + 1) * x) * ((2 + 2) + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165836: 1 15 15 225 15 225 15 3375 225 225 15 3375 15 225 225 50625
loop(\(x,i).(((x * 2) * (2 + 1)) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165839: 1 18 18 324 18 324 18 5832 324 324 18 5832 18 324 324 104976
loop(\(x,i).((((x * 2) * 2) * 2) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165845: 1 24 24 576 24 576 24 13824 576 576 24 13824 24 576 576 331776
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165853: 1 32 32 1024 32 1024 32 32768 1024 1024 32 32768 32 1024 1024 1048576
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165835: 1 14 14 196 14 196 14 2744 196 196 14 2744 14 196 196 38416
loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165834: 1 13 13 169 13 169 13 2197 169 169 13 2197 13 169 169 28561
loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165832: 1 11 11 121 11 121 11 1331 121 121 11 1331 11 121 121 14641
loop(\(x,i).(((((2 + 2) * 2) * 2) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165838: 1 17 17 289 17 289 17 4913 289 289 17 4913 17 289 289 83521
((x mod ((x mod ((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)
A344704-A325975-A325813-A325640-A325633-A325632-A324544-A323166-A323160-A009194: 1 1 1 1 1 6 1 1 1 2 1 4 1 2 3 1
((if x <= 0 then 0 else (((((((x div (((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) + 2) * 2) div (2 + 1)) + 1) mod (2 + 1)) + 1)) + 1)
A322483-A061389: 1 2 2 2 2 4 2 3 2 4 2 4 2 4 4 3
(((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(x - (1 - ((x * 2) * (2 + 1)))))),x) * 2) * (((2 + 1) * 2) + 1)) + 1)
A140444-A042969-A042967: 29 43 71 113 127 197 211 239 281 337 379 421 449 463 491 547
(((((if x <= 0 then 1 else ((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2)) div ((x mod 2) + 2)) + 1) mod ((2 + 2) + 1)) - 1)
A105307: 0 0 1 1 1 2 1 2 2 2 1 ~1 1 2 3 3
(((((((if (x mod (((x mod (2 + 2)) * 2) + 1)) <= 0 then 1 else loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) * 2) + 1) div (2 + 1)) + 1) div (2 + 1)) + 1)
A144790: 1 1 2 1 1 2 3 1 1 1 1 2 1 3 4 1
(((((((((loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x) * (((((x + 1) div 2) div 2) + 2) + 1)) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A036995: 1 1 2 1 2 3 1 3 3 4 1 3 3 5 5 1
(if x <= 0 then 0 else ((((((((x mod (((loop(\(x,i).(x * 2),(x div ((x mod 2) + 2)),2) - 1) mod (x + 1)) + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A062842: 0 1 1 2 1 1 1 3 2 2 1 2 1 1 1 4
(if x <= 0 then 0 else (((((((x div ((loop(\(x,i).(x * 2),(2 - ((2 - x) div ((2 + 2) + 1))),1) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A274036-A086342: 0 1 1 2 1 2 2 3 1 2 2 2 2 2 3 4
(if x <= 0 then 0 else (((((((x div ((loop(\(x,i).(x * 2),(((((x div 2) + 1) div 2) div 2) + 1),2) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A124769: 0 1 1 2 1 1 2 3 1 1 2 2 2 2 3 4
((((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) + 2) * 2))),x) * 2) + 1) * 2) + 2) * (2 + 1)) - 1)
A068231: 11 23 47 59 71 83 107 131 167 179 191 227 239 251 263 311
loop(\(x,i).((((2 + 1) * 2) + 1) * x),(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2),1)
A165870: 1 49 49 2401 49 2401 49 117649 2401 2401 49 117649 49 2401 2401 5764801
((((if x <= 0 then 0 else (if (x mod ((((((((((x + 1) * 2) mod ((x div 2) + 2)) div 2) div 2) + 1) * 2) + 1) mod (x + 1)) + 2)) <= 0 then 2 else 1)) + 1) * 2) - 1)
A112755: 1 3 5 3 3 5 3 3 3 3 5 3 3 3 3 3
(((((((((loop(\(x,i).(x * x),1,((loop(\(x,i).(x * 2),x,1) + ((2 + 2) * 2)) - (x mod 2))) div 2) div 2) + 1) div (2 + 1)) + 1) div 2) + 1) div 2) - 1)
A056323: 1 1 2 4 11 31 107 379 1451 5611 22187 87979 350891 1400491 5597867 22379179
(((((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) + 1))),x) * 2) + 1) * 2) * 2) - 1) * 2) - 1)
A127589: 5 37 53 101 149 181 197 229 277 293 373 389 421 613 661 677
(((((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) + 1) * 2) * 2))),x) * 2) + 1) * 2) + 1) * 2) * 2) - 1)
A141195: 11 43 59 107 139 251 283 331 347 379 443 491 523 571 587 619
(((((x - (((x - loop(\(x,i).(x - ((x * x) div ((((2 + 2) * 2) * 2) + x))),2,(if x <= 0 then 1 else x))) mod (x + 1)) - 1)) * (2 + 1)) div 2) * 2) - 1)
A054500: 1 5 7 11 13 13 13 13 17 17 17 17 17 19 19 19
(((x mod (((if x <= 0 then 1 else (((((((loop(\(x,i).(((x div 2) + 2) * (2 + 1)),x,0) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) mod (x + 1)) + 2)) div 2) + 1)
A002784: 1 1 1 2 3 1 1 4 5 1 3 1 3 1 1 8
(loop(\(x,i).(((((x * x) * (x * x)) - 1) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div ((((2 + 2) * 2) * 2) - 1))
A138448: 4 48 1040 7840 118096 321776 1609152 3136368 9869024 39654832 59166848 171048336 316673504 421424080 718614208 1477623888
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) + (x div (((2 + 2) * 2) + 1)))
A134681: 1 2 2 3 2 4 2 4 3 5 3 7 3 5 5 6
((loop(\(x,i).(((((x * x) * (x * x)) div 2) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div (2 + 1)) div ((2 + 2) + 1))
A138450: 2 24 520 3920 59048 160888 804576 1568184 4934512 19827416 29583424 85524168 158336752 210712040 359307104 738811944
((((loop(\(x,i).(x * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),1) div 2) + 1) * 2) div (2 + 1))
A070288: 0 0 0 1 0 2 0 2 1 2 0 6 0 2 2 3
((((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((x * 2) * 2) * 2) - 1))),x) * 2) * 2) + 1) * 2) * 2) - (2 + 1))
A131204-A094407: 17 97 113 193 241 257 337 353 401 433 449 577 593 641 673 769
(((compr(\x.(1 - (x - (loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x) * ((((2 + 2) * 2) * (2 + 1)) - 1)))),x) + 2) * 2) - (2 + 1))
A160771: 3 5 9 11 15 17 21 27 29 35 39 41 45 49 51 55
loop(\(x,i).(((2 + 1) * x) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166630: 1 18 27 324 45 486 63 5832 729 810 99 8748 117 1134 1215 104976
loop(\(x,i).((((2 + 2) + 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166631: 1 20 30 400 50 600 70 8000 900 1000 110 12000 130 1400 1500 160000
loop(\(x,i).((((2 + 1) * 2) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(x + 1))
A166628: 1 14 21 196 35 294 49 2744 441 490 77 4116 91 686 735 38416
(1 - (((((((((((loop(\(x,i).(loop(\(x,i).((x - (i mod 2)) * 2),i,1) + (x * 2)),x,1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2))
A319762: 1 0 0 0 0 0 1 1 4 9 24
(((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 2)) mod (((2 + 2) + 1) * 2))
A137727: 6 5 5 7 3 1 3 7 7 9 7 7 3 1 1 7
((loop(\(x,i).(((((((loop(\(x,i).(((x * 2) + 1) * x),(2 + 1),x) + 1) + 2) * (x + 1)) * (2 + 1)) - 1) * 2) + 1),(x + 1),1) * (2 + 1)) - 2)
A172700: 32611 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
(2 - (((loop(\(x,i).(x - (if x <= 0 then 0 else (i + 1))),x,x) + 1) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) * 2))
A338896: 0 2 0 4 4 0 6 8 6 0 8 12 12 8 0 10
((((((loop(\(x,i).((x * x) * x),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) * (x + 1)) + 1) div 2) * (2 + 1)) * (x + 1)) div 2)
A323325: 1 3 54 1500 51450 2000376 84523824 3789772272 177645575250 8619977394600 429995817814992 21940447761898848 1140809521021467024 4611686018427387903 4611686018427387903 4611686018427387903
(((((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * (x + 2)) * (x + 1)) div 2)
A143272: 1 6 12 30 30 84 56 144 135 220 132 468 182 420 480 680
loop(\(x,i).(((if x <= 0 then 2 else (x - (((1 - (((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2)) mod 2) - 1))) * 2) + 1),1,((x + 1) div 2))
A270753: 5 3 3 5 5 7 7 11 11 11 11 13 13 17 17 17
(((((((((x div ((((loop(\(x,i).(if x <= 0 then i else (x div 2)),x,2) - 1) mod (x + 1)) + 2) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) * (2 + 1)) div 2) div 2)
A209563: 1 1 1 1 3 1 1 3 6 1 1 3 8 10 1 1
(((if x <= 0 then 0 else (((((((((loop(\(x,i).((i mod 2) + (x * 2)),x,((x mod 2) + 1)) div 2) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1)) + 1) - (x mod 2))
A123120: 1 2 4 5 7 10 13
A223729: 1 2 4 5 7 10 13 28
((if x <= 0 then 1 else (((x * 2) * (2 + 1)) - ((((x div (((if (((x div 2) - 2) - 2) <= 0 then 2 else 1) * 2) + 1)) + ((x + 1) * 2)) * 2) div (2 + 1)))) + x)
A313916: 1 5 10 16 22 27 32 38 44 49 54 59 64 70 76 81
((((if x <= 0 then 1 else (((((((((if (x mod (2 + 2)) <= 0 then (x * 2) else (x div 2)) + x) + 1) div 2) + 2) * 2) div (2 + 1)) - 1) + (x * 2))) + x) + x) + x)
A315505: 1 6 11 16 24 28 33 38 48 50 55 60 72 72 77 82
(2 div (((x + 1) div ((((((x div ((2 + 2) + 1)) + 1) * 2) div ((if ((x * 2) mod (((x div (2 + 2)) + 2) + 2)) <= 0 then 2 else 0) + 1)) * 2) + 1)) + 1))
A133696: 1 2 0 2 1 0 2 2 1 0 2 2 1 1 0 2
loop(\(x,i).(((((((x div 2) + 1) div 2) * 2) + 1) * (2 + 1)) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1)
A142595: 1 1 1 1 4 1 1 10 10 1 1 22 40 22 1 1
(((if ((x div ((2 + 2) + 1)) mod 2) <= 0 then 1 else x) mod (2 + 2)) div ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A153659: 1 1 1 1 0 1 2 1 0 1 1 0 0 0 1 3
((((((((x mod (((((if ((((x + 1) div 2) mod (2 + 2)) - 2) <= 0 then 1 else 0) * 2) - 1) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A161789: 1 1 2 1 1 2 3 1 2 1 1 2 1 3 4 1
((((loop(\(x,i).((x * 2) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) * 2) div (2 + 1)) div (x + 1)) + 1)
A331315: 1 1 1 1 1 1 1 2 2 1 1 4 14 4 1 1
(((x + 1) * 2) - ((((loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) * ((x * 2) + 1)) + x) div (x + 1)) + 1))
A071050: 0 0 1 0 5 3 5 0 13 11 13 7 17 11 13 0
((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * (((2 + 2) * 2) + 1)) div 2) + 1)
A173046: 1 1 1 1 5 1 1 10 10 1 1 19 37 19 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (if (x - 2) <= 0 then 1 else 2)) + (x div ((2 + 2) + 1))) div 2) + 1)
A143901: 1 1 1 2 2 2 2 3 3 2 3 4 5 4 3 3
(loop(\(x,i).((2 + 1) * x),(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2),1) mod (((2 + 1) * 2) + 1))
A143214: 1 1 1 1 3 1 1 2 2 1 1 6 5 6 1 1
((loop(\(x,i).(((2 + 2) + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div (((2 + 1) * 2) + 1))
A282189: 0 0 0 0 0 0 0 1 1 0 0 8 44 8 0 0
(((((((((loop(\(x,i).((((x div ((2 + 2) + 1)) * (2 + 1)) + x) + 1),x,1) div (x + 1)) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) - 1)
A308992: 0 0 0 0 0 0 0 0 1 1 2 3 5 7 12 17
(((((((((((loop(\(x,i).(((((x div 2) div (2 + 1)) * 2) + x) + 1),x,1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) - 1)
A035562: 0 0 0 0 0 0 1 0 1 1 2 3 4 5 8 10
(((loop(\(x,i).(((x div ((2 + 2) + 1)) + 2) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * 2) + 1)
A171229: 1 1 1 1 3 1 1 5 5 1 1 9 25 9 1 1
(((((((loop(\(x,i).((x * x) * x),1,((2 + 2) * (x + 1))) + x) + 1) * (2 + 1)) * ((x + 2) + 1)) div (2 + 1)) + 1) mod (((2 + 2) * 2) + 1))
A171677: 7 5 7 4 2 4 1 8 1 7 5 7 4 2 4 1
((loop(\(x,i).(((2 + 2) + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div (((2 + 2) * 2) + 1))
A283232: 0 0 0 0 0 0 0 1 1 0 0 6 34 6 0 0
((x + 2) - (((x * 2) + 1) mod (if (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) <= 0 then ((x div (2 + 2)) + 2) else 1)))
A194970: 1 2 3 4 6 5 7 9 10 8 11 13 14 15 12 16
(x - (((1 - ((if x <= 0 then 1 else (((((((x div (2 + 1)) mod (2 + 1)) + x) div (2 + 1)) + x) + (x * 2)) * 2)) * 2)) - (x div (2 + 1))) div (2 + 1)))
A313979: 1 5 10 17 22 28 33 40 45 50 55 60 67 72 78 83
(((((((((((((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),x,1) * x) div 2) + 1) div 2) * 2) + 1) + x) * x) div 2) + 1) div 2) * 2) mod (2 + 1))
A217522: 0 1 2 1 0 2 1 2 0 1 0 2 0 1 2 0
((((((loop(\(x,i).(((((2 + 1) * x) + 2) * 2) - (((x + 2) * 2) div ((2 + 2) + 1))),x,(2 + 1)) div 2) div (2 + 1)) + x) + 2) * 2) mod (2 + 1))
A035203: 1 0 1 1 2 0 1 0 1 0 0 1 0 0 2 1
((((((((if x <= 0 then 1 else ((((2 + 2) * 2) * ((x * 2) + 1)) mod ((((2 + 2) * 2) * 2) + 1))) + x) + 2) * 2) div (2 + 1)) + x) * 2) - (2 + 1))
A337254: 1 11 13 15 17 19 21 23 25 51 53 55 57 59 61 63
(((((((((((loop(\(x,i).(((x - 1) * x) div 2),2,((x + 2) + 2)) * (x + 1)) div (2 + 1)) div 2) div 2) div 2) + 1) div 2) + 2) div 2) + x) mod (2 + 1))
A321457: 1 0 0 1 0 0 1 0 0 2 0 1 2 0 2 2
compr(\x.((((((((((x - 1) * x) div ((if ((x - 2) mod ((x mod 2) + 2)) <= 0 then 1 else 2) * (2 + 1))) + 1) div 2) + 1) * 2) mod (x + 1)) div 2) div 2),(x + 1))
A090467: 1 2 3 4 5 7 8 11 13 14 17 19 20 23 26 29
(((((((loop(\(x,i).(x * 2),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),2) - (x mod (2 + 1))) div 2) + 1) * 2) div (2 + 1)) + 1) div 2)
A140191: 1 1 1 2 1 1 2 3 1 2 1 3 2 3 3 6
((compr(\x.((((((((((if (x mod 2) <= 0 then ((x + 2) + 1) else x) mod (x + 1)) + 2) * (x + 1)) div 2) div 2) + 1) div 2) mod (2 + 1)) - 1),(x + 1)) + 1) * 2)
A242483: 4 8 10 14 16 22 26 32 34 36 38 44 46 48 50 52
(((((x div ((loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + 1),1) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2)
A066012: 2 2 2 4 2 4 4 4 2 4 4 4 4 6 6 8
(if x <= 0 then 1 else ((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((((x div 2) + 1) div 2) * 2) * 2) * 2) - 1)) div 2) + 1) * 2))
A055921: 1 2 2 2 8 2 2 16 16 2 2 24 48 24 2 2
(x div (((x div (((((((((loop(\(x,i).(x * 2),x,2) mod ((x div (2 + 2)) + 2)) div 2) + 1) * 2) - 1) - (x mod 2)) + 1) mod (x + 1)) + 2)) + 1) * 2))
A081387: 0 0 1 0 2 1 1 1 1 1 1 1 2 3 2 1
((((loop(\(x,i).(x * x),1,(((x mod (((((((2 + 2) * 2) * 2) * 2) - 1) mod (x + 1)) + 1)) div (2 + 1)) + 1)) div (2 + 1)) + 1) * (2 + 1)) - 2)
A127707: 1 1 1 4 1 1 1 10 4 1 1 4 1 1 1 37
((((loop(\(x,i).(((x * 2) - 1) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) + 1) div (2 + 1)) * 2)
A230592-A230275: 0 0 0 0 0 0 0 2 2 0 0 8 28 8 0 0
(((((loop(\(x,i).((x + 2) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div 2) + 1) * (2 + 1)) div 2)
A157152: 1 1 1 1 3 1 1 7 7 1 1 15 30 15 1 1
(((loop(\(x,i).((x + 1) * x),1,(((((1 - ((((x * x) * x) div ((2 + 2) * 2)) mod 2)) * x) + (x mod 2)) div (2 + 1)) + 1)) div 2) * (2 + 1)) div 2)
A146955: 1 1 1 1 4 1 1 9 9 1 1 22 22 22 1 1
((((loop(\(x,i).((x + 1) * 2),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) - 1),1) * (2 + 1)) + 1) div 2) div 2)
A196809-A196646-A196601-A196578: 1 1 1 1 1 1 1 3 3 1 1 7 16 7 1 1
((loop(\(x,i).((((2 + 2) * 2) * (x + 1)) div (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div 2)
A290448: 0 0 0 0 1 0 0 4 4 0 0 11 30 11 0 0
((((((((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) + 2) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2)
A334861: 0 0 2 0 3 2 3 0 4 3 4 2 4 3 5 0
((((x + 2) * (2 + 1)) mod (2 - ((x mod 2) - ((((if x <= 0 then 1 else 2) * (2 + 1)) * (2 + 1)) - (x mod (((2 + 1) * 2) + 1)))))) div ((2 + 2) * 2))
A091430: 0 1 1 1 0 0 1 1 1 2 0 1 1 0 1 1
(((((if x <= 0 then 1 else (((x div ((((((x * 2) mod (((x div 2) div (2 + 1)) + 1)) + 1) mod (x + 1)) + 2) * (2 + 1))) + 1) * 2)) + x) + 2) div 2) + 2)
A037038: 3 4 5 5 6 6 7 7 8 9 10 10 11 10 12 12
(1 - ((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) mod ((x + 2) + 2)))
A176602: 1 1 1 1 0 1 1 ~2 ~2 1 1 ~8 ~10 ~8 1 1
(((((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * ((x * 2) + 1)) div 2) + 1) div 2) div 2) + 1) * 2) * 2) - 1) div (x + 2))
A098389: 1 2 3 5 8 10 13 15 19 25 27 32 36 38 42 48
((((((((((loop(\(x,i).(x * 2),(x * 2),((x div ((x mod 2) + 2)) + 1)) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2))
A177062: 1 2 1 3 2 2 2 4 3 3 2 3 3 3 3 5
(((((((((((((loop(\(x,i).(x * 2),x,((x div (2 + 2)) + 2)) div (2 + 1)) * x) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A125730: 1 2 3 5 8 13 23 46 123
compr(\x.((((((((((2 + 2) + 1) * (if x <= 0 then 1 else 2)) + (x div (((2 + 1) * 2) + 1))) mod (((2 + 2) * 2) + 1)) + 1) * (2 + 1)) div 2) div 2) - 1),x)
A028428: 1 2 3 4 5 6 56 57 58 59 60 61 62 63 64 65
compr(\x.(1 - (x mod (((((((if x <= 0 then 1 else (((x - ((1 - x) div (2 + 1))) div (2 + 1)) + ((x * 2) * 2))) + x) + x) + 2) * 2) mod (2 + 1)) + 2))),x)
A266114: 1 3 5 6 7 8 9 11 13 14 17 18 19 20 22 23
((((((x * x) - 1) - ((2 - ((((if (x mod 2) <= 0 then (((x - (((x mod (2 + 2)) + 1) div 2)) * 2) + 1) else 2) + x) + 1) div 2)) * 2)) div 2) + 2) + x)
A266617: 0 3 6 10 18 21 32 36 52 55 74 78 102 105 132 136
((((((((((loop(\(x,i).((x - 2) * x),2,((2 + 2) * 2)) + 1) * (x + 1)) div 2) div (2 + 1)) + 1) div 2) div (((2 + 2) * 2) + 1)) + x) + 2) + x)
A038153: 22 44 67 89 112 134 157 179 202 224 247 269 291 314 336 359
((x mod ((x mod (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) mod (((2 + 2) * 2) + 1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)
A100387: 1 2 1 2 1 2 1 1 1 2 1 4 3 2 1 2
((x div (((((((((((x div ((((x mod (2 + 2)) + 2) * 2) * 2)) + 1) * 2) - (x mod (2 + 1))) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1)) + 1)
A224076: 1 1 1 1 1 2 1 2 1 1 3 3 2 2 3 2
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x + 1) mod (2 + 2)) + 1)) + 1) * 2) div (2 + 1)) + 1)
A125127: 1 1 1 1 3 1 1 3 4 1 1 3 7 7 1 1
(((((((x mod ((((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) mod ((x div 2) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A331183: 1 1 1 2 1 1 1 3 2 2 1 1 1 1 1 4
(((((((x div (((((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) * 2) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A124736: 1 1 2 1 2 2 3 1 2 2 2 3 3 3 4 1
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) * (2 + 1)) div 2) + 2) * 2) mod (((2 + 1) * 2) + 1)) + 1) div 2) - 1)
A124961: 1 1 1 1 0 1 1 1 ~1 1 1 0 2 ~1 1 1
((((((((((((x div 2) + 1) div 2) * (2 + 1)) div 2) * 2) * 2) + 1) * ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2)) + 1) div 2) + 1)
A141541: 1 1 1 1 4 1 1 8 8 1 1 10 18 10 1 1
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) - (((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 2) + 1))
A201006: ~3 ~4 ~4 ~5 ~4 ~5 ~6 ~4 ~4 ~6 ~7 ~4 ~3 ~4 ~7 ~8
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2)) + 1)
A204250: 1 3 3 5 6 5 7 9 9 7 9 12 13 12 9 11
(((((((2 + 2) * 2) + 1) mod (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2))) + 1) div 2) + 1)
A214281: 1 1 1 1 1 1 1 3 3 1 1 2 6 2 1 1
((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((2 - ((x div 2) mod 2)) * (x div 2)) div (2 + 1)) - 1)) * (2 + 1)) div 2) + 1)
A229243: 1 1 1 1 1 1 1 1 2 1 1 1 10 5 1 1
((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div 2) - 2) - 1)) div 2) * 2) + 1) div (2 + 1)) * (2 + 1)) div 2) - 1)
A172972: ~1 ~1 ~1 ~1 ~3 ~1 ~1 ~1 ~1 ~1 ~1 0 2 0 ~1 ~1
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) * 2) div (2 + 1)) * (2 + 1)) div 2) + 1)
A319251: 1 1 1 1 4 1 1 8 8 1 1 13 28 13 1 1
((((((((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) - 1) * 2) + 1) * 2) * 2) + 1)
A186304: 5 21 29 45 69 77 101 125 149 165 189 197 221 237 261 269
((((((((((((((((x div 2) * x) div (2 + 2)) + 1) div ((2 + 2) + 1)) + 1) - (x mod 2)) + x) + 2) * (x + 1)) div 2) div 2) + 1) div 2) div 2) + 1)
A029017: 1 1 2 2 3 3 5 6 8 9 11 12 15 17 21 23
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x div (2 + 1)) mod 2) + 2) * 2) + 1)) div 2) div 2) + 1)
A285522: 1 1 1 1 2 1 1 3 3 1 1 6 6 4 1 1
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x + 1) mod (2 + 2)) + 2) * 2) + 1)) div 2) div 2) + 1)
A092422-A089899: 1 1 1 1 2 1 1 3 4 1 1 4 8 7 1 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((((x div 2) mod 2) + 1) * x) div (2 + 1)) + 1)) * (2 + 1)) div 2) div 2) + 1)
A210764-A138155-A091186: 1 1 1 1 2 1 1 4 3 1 1 7 8 4 1 1
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x div 2) + 1) div 2) * 2) * (((x + 1) div 2) div 2))) + 1)
A176293: 1 1 1 1 3 1 1 17 17 1 1 55 73 55 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) - 1) div (((x div (2 + 2)) + 2) + 2))) div 2) + 1)
A143902: 0 1 1 1 2 1 2 3 3 2 2 4 4 4 2 3
(((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (1 - ((x div (((2 + 1) * 2) + 1)) * 2))) mod ((2 + 2) + 1))
A298930-A298895-A298259: 0 0 0 0 1 0 0 3 3 0 0 2 1 2 0 0
((((((((((((((x - (((1 - x) * (2 + 2)) - 1)) * x) * (x + 1)) div 2) div (2 + 1)) div 2) + 1) div 2) * 2) * 2) * 2) * 2) + 1) mod (2 + 1))
A067742: 1 1 0 1 0 2 0 1 1 0 0 2 0 0 2 1
(((((((((((((((1 - ((x mod 2) * 2)) + (x div (2 + 1))) * 2) + x) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A340282: 0 0 1 1 2 2 4 4 6 6 9 8 13 12 16 16
((((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2)) * ((2 + 2) + 1)) div 2) div (2 + 1))
A309891: 0 1 1 3 1 3 1 5 3 3 1 6 1 3 3 8
(((((((((((2 + 2) * (x + 1)) + x) * ((x + 2) + 1)) div 2) + (((x + 2) * x) + 1)) + 1) * (x + 2)) * ((x + 2) + 1)) div 2) div (2 + 1))
A190048: 8 46 150 370 770 1428 2436 3900 5940 8690 12298 16926 22750 29960 38760 49368
((((compr(\x.(((((x mod (((((x + 1) * x) mod ((2 + 2) * 2)) + 2) * 2)) + 1) * (x + 1)) mod (2 + 1)) - 1),(x + 1)) + 1) * 2) * 2) div (2 + 1))
A285035: 2 4 5 6 8 9 12 14 16 17 18 20 21 24 25 26
(((((((((((((((x - (x mod (((2 + 2) + 1) * 2))) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) div 2) + 1) * 2) * 2) div (2 + 1))
A098732: 1 1 1 1 1 1 1 1 1 1 10 12 12 13 14 14
((((((((((x - ((x - ((1 - (((x + 1) div 2) mod ((2 + 2) + 1))) * (2 + 1))) div 2)) div 2) + 1) + x) + x) + x) + 2) + x) * 2) div (2 + 1))
A190521: 2 4 7 10 12 15 18 20 23 28 30 33 36 38 41 43
(x div (((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) + x) div 2) div 2) + 1) - (x mod 2)) + 1))
A207822: 0 1 1 1 1 2 2 1 1 3 2 2 1 2 2 3
(((x div ((x div ((((((x + 1) div 2) div (((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 1) + (x mod 2)) + 1)) + 1)) + 1) div 2)
A303639: 0 1 1 2 1 3 2 2 1 2 3 3 3 3 4 2
((((((((((((((x - (((x div ((2 + 2) * 2)) + 2) * 2)) mod (x + 1)) div 2) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2)
A238217: 0 0 0 1 0 1 1 1 1 1 2 2 3 3 5 5
(((((((((((((x + 1) mod (((((x div (2 + 2)) + 1) div 2) * 2) + 1)) div 2) + 1) * 2) * (2 + 1)) - 1) * 2) - 1) mod (x + 1)) div 2) + 1) div 2)
A152197: 0 0 0 0 0 1 1 1 0 2 3 2 2 1 2 2
((((((((((((((((((x * x) div (2 + 2)) + x) div 2) div (2 + 1)) + x) + 2) + 2) + x) + x) + x) + 2) + x) * (x + 1)) div 2) div 2) + 1) div 2)
A083462: 1 3 6 11
A023601: 1 3 6 11 17 24 33 44 56 69 84 101 120 140 161 184
((((x + 1) div (((((x div ((x mod ((x mod ((x div ((x div ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1)) + 1) * 2) div (2 + 1)) + 1)) * (2 + 1)) div 2)
A066839: 1 1 1 3 1 3 1 3 4 3 1 6 1 3 4 7
(((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x - (((x div 2) mod 2) + 1))) div 2) * (2 + 1)) div 2) + 1) * (2 + 1)) div 2)
A008278: 1 1 1 1 3 1 1 6 7 1 1 10 25 15 1 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (((2 - ((x div 2) mod 2)) * 2) + 1)) + x)) div 2) + 1) * (2 + 1)) div 2)
A146986: 1 1 1 1 4 1 1 7 7 1 1 12 22 12 1 1
((((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) div 2)
A231205: 0 1 1 2 1 2 3 2 2 3 4 2
A341839: 0 1 1 2 1 2 3 2 2 3 4 2 2 2 4 5
(((((((((((((((2 + 2) * (2 + 1)) + 1) * ((x * 2) + 1)) * (x + 2)) div 2) div (2 + 1)) + 1) div 2) * 2) + 1) + x) + x) div (2 + 1)) + 2)
A100967: 3 9 18 29 44 61 81 104 130 159 191 225 263 303 347 393
((((((((((((((x div 2) mod (((x * x) mod (((x mod 2) + 2) * 2)) + 1)) * 2) + 1) + x) div 2) + 2) div 2) * 2) + 1) + x) + x) * (2 + 1)) - 2)
A129904: 7 13 19 31 37 43 49 61 67 73 79 91 97 103 109 127
(((((((((((x div (((x div (((x - 1) mod ((2 + 2) + 1)) + 1)) + 2) + 2)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) * 2) + 1) mod (x + 1)) div 2)
A055255: 0 0 0 1 1 2 1 2 2 2 2 1 2 2 4 4
((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x div 2) + 2) + 1)) div 2) div 2) * 2) + 1) * 2) - 2)
A049207: 0 0 0 0 4 0 0 12 12 0 0 24 36 24 0 0
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) + 2) * 2))
A173395: 4 6 6 8 9 8 10 12 12 10 12 15 16 15 12 14
(1 - ((1 - (((x mod (((x div (2 + 2)) + 2) + 1)) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) div 2)) div 2))
A301367: 1 1 1 1 0 1 1 1 1 2 1 0 0 0 1 1
(((((((x - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) - x) div 2)) div 2) + 1) + x) * (2 + 1)) div 2) + 2)
A342744: 3 6 8 11 14 17 18 21 23 27 29 30 33 36 39 42
(x mod ((((((((1 - (x mod (((x - (((x div ((2 - (x mod 2)) * 2)) * 2) - 1)) mod (x + 1)) + 1))) * 2) + 1) + x) + x) div (2 + 1)) + 2) + 2))
A103303: 0 1 2 3 4 5 6 7 8 9
A093691: 0 1 2 3 4 5 6 7 8 9 0 0 2 0 3 0
(((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) * 2) * (((x + 1) div 2) div 2))
A058347: 0 0 0 0 2 0 0 8 8 0 0 24 54 24 0 0
(((((((x div (((x mod (((x mod (((x mod 2) + 2) + 1)) + 1) * 2)) + 1) * (2 + 1))) + 1) * 2) * (2 + 1)) - 1) div (2 + 1)) mod ((2 + 2) * 2))
A339903: 1 1 1 1 3 1 5 1 1 3 3 1 1 5 3 1
((((((((((((((((x + 1) div (((2 + 1) * 2) + 1)) * 2) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2) - 1) + (x * 2))
A005763: 1 5 7 9 11 13 17
A336366: 1 5 7 9 11 13 17 19 21 23 25 29 31 37 39 41
(((((((((((((((x mod (2 + 2)) * x) div 2) * (2 + 1)) mod (x + 1)) div 2) div 2) + (x + 1)) div 2) div (2 + 1)) * 2) + x) * 2) + 1) - (x * 2))
A241154: 1 1 1 1 1 5 5 5 5 5 9 9 9 9 13 9
(((((((((((((((((x * x) div (2 + 2)) + x) + 1) * (x - 1)) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2))
A035937: 1 0 1 1 2 2 3 3 5 6 8 9 13 14 19 22
(((((((((((((x - ((x + 1) mod (((2 + 2) * (2 + 1)) + 1))) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A277861: 1 2 3 4 5 6 7 8 9 10 11 12 20 22 23 24
((((((((((((((x - (((1 - x) div (2 + 1)) - 1)) * ((x + 2) + 1)) div 2) div 2) * 2) + x) div 2) + x) div 2) + 1) * 2) div (2 + 1)) + 1) - x)
A109950: 1 1 2 2 3 4 5 6 8 10 11 14 16 18 23 25
((((((((((((x - ((((1 - x) div (2 + 1)) * ((x div 2) + 1)) div 2)) div 2) + 1) * 2) div (2 + 1)) + 1) + x) + 2) * 2) div (2 + 1)) - 1) - x)
A264401: 1 0 1 1 1 1 1 1 2 2 1 2 3 2 4 4
compr(\x.(2 - ((((((((((((((2 + 2) + 1) * 2) * 2) mod ((x div 2) + 1)) * 2) + 1) + x) div 2) * 2) + 1) + x) + x) mod (((2 + 1) * 2) + 1))),x)
A225647: 1 3 4 6 7
A066650: 1 3 4 6 7 8 11 13 14 15 16 18 19 20 21 22
compr(\x.(1 - (((((((((((((x div ((x mod 2) - 2)) + (x mod (2 + 1))) div 2) + 1) mod (x + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) mod (2 + 1))),x)
A103303: 0 1 2 3 4 5 6 7 8 9
A336668: 0 1 2 3 4 5 6 7 8 9 11 20 22 24 26 28
compr(\x.((((((((((((x div ((2 - (((x div 2) * x) mod 2)) * 2)) + 1) div (2 + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) mod (2 + 1)) div 2),x)
A171551: 0 1 2 3 4 7 8 9 10 12 13 15 18 20 21 22
compr(\x.(((((((((((x + 1) div ((x div ((((x mod (2 + 1)) + 1) * 2) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) mod 2),x)
A079279: 1 2 3 4 8 9 10 14 15 16 21 22 26 27 28 32
(((((((((((((((((2 + 2) * 2) * 2) + x) * 2) * ((2 + 2) + 1)) + x) * (2 + 1)) div 2) div 2) div 2) + 1) + 2) + x) + (x * 2)) + 2) + x)
A282113: 65 73 81 89 97 105 113 121 130 138 146 154 162 170 178 186
(((((((((((((x - (((2 - x) * (x * 2)) div ((2 + 2) + 1))) * 2) + 1) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) - 1) + x) div 2) - x)
A211536: 0 0 0 2 3 4 6 8 11 14 17 21 24 29 34 39
((((((((((((((((((x mod 2) + x) div ((2 + 2) + 1)) + x) * (x + 1)) div 2) + 1) div 2) + x) div 2) + 1) + x) div 2) + 1) + x) + x) + x) + x)
A085813: 1 6 11 16 21 27 33 38 44 51 57 63 70 76 83 90
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A028138: 1 30 580 9240 132496 1784160 23095360 291434880 3616450816 44380976640 540619555840 6552897361920 79164966670336 954260234526720 11485602445803520 138104474808975360
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1))
A028136: 1 28 500 7280 94416 1138368 13069120 144981760 1569049856 16674065408 174788490240 1813347594240 18663674269696 190917377179648 1943653403279360 19713779492126720
(loop(\(x,i).(if x <= 0 then 1 else ((loop(\(x,i).(x * 2),x,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((x * 2) * 2),x,1))) + 1) * 2)),1,(x + 1)) - 2)
A291066: 24 672 14976 311808 6334464 127475712 2555805696 51166445568 1023731564544 20477852516352 409582820130816 8191862561046528 163838900488372224 3276791203906977792 4611686018427387903 4611686018427387903
(((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + 1)
A134007: 5 25 165 1225 9669 79225 665445 5686825 49208709 429746905 3779084325 33407391625 296515495749 2639977136185 23561123826405 210669225531625
(((loop(\(x,i).compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 1)) + 1) * 2) + 1)
A117249-A072677: 5 7 13 19 37 43 61 71 89 113 131 163 181 193 223 251
((((((loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 2)) + x) * (2 + 1)) + 1) div 2) div 2) + 1)
A207666: 2 2 3 2 2 2 4 3 3 2 3 2 2 2 5 4
((compr(\x.(1 - loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((x * 2) - 1)))),x,(x + 1)) + x),1,((x * 2) - 1))),x) div 2) mod (2 + 1))
A309011: 0 1 2 0 1 0 2 0 1 2 0 2 1 0 1 2
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025991: 1 25 417 5909 77369 972381 11958289 145367893 1756276137 21149737037 254259660161 3053974195077 36665246878105 440090336260093 5281738449973233 63384838751399861
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028037: 1 25 415 5845 76111 952525 11679655 141710965 1710104671 20579684125 247310795095 2969873300485 35651407676431 427894724193325 5135204742169735 61625269469056405
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028001: 1 29 553 8801 127033 1728833 22655881 289479377 3634751065 45081115937 554241018409 6770845059953 82332981442297 997760934850241 12061135182324937 145526363142458129
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025947: 1 24 391 5478 71449 898044 11063179 134771010 1631361325 19675158360 236793832639 2846370045246 34190350504129 410521580544372 4927920602312371 59146678721188986
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A026006: 1 27 483 7271 100083 1308831 16594651 206375367 2535071715 30892653935 374502469419 4524435989463 54536889623347 656393971978239 7892348208238587 94833193717469159
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028046: 1 27 481 7203 98665 1285179 16245937 201600531 2472643129 30100201131 364634299393 4403082925059 53056831273993 638440928326683 7675363823623249 92216951605023987
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028017: 1 31 627 10499 158219 2232387 30141979 394679923 5055314187 63715123043 793475307131 9793201406547 120053522334955 1464191224876099 17788099372232283 215464347026366771
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025975: 1 25 419 5981 78939 999453 12366859 151048909 1831243931 22106050109 266192557995 3200758779309 38454275485627 461767630974493 5543426384577227 66536622452560781
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028031: 1 24 385 5280 67441 833064 10129825 122282160 1471249681 17675304504 212209212865 2547054594240 30567440844721 366823482358344 4401953808801505 52823810060045520
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028049: 1 28 517 8008 113113 1513876 19589389 247937536 3091276705 38140546444 467097608341 5689887004984 69041150918377 835356636400132 10086046124610973 121588456137536752
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A026108: 1 28 519 8078 114617 1539720 19981483 253451506 3165132333 39098271212 479245678847 5841627343734 70916047801249 858343285202704 10366285999237011 124990982044693562
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025956: 1 27 493 7671 109813 1496031 19737181 254700567 3234969925 40605328335 505121007469 6240023291463 76665993102037 937849058035839 11432760118860157 138978835693603959
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A174515: 1 25 397 5125 58813 626725 6356749 62315125 596370205 5610245125 52128987181 480061573525 4392455087677 40002549209125 363080219023693 3287474035532725
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A026326: 1 24 373 4776 54853 588408 6028741 59809992 579668485 5521782552 51920105029 483393574248 4466595742597 41031327740856 375223258308037 3419303762715144
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A026324: 1 23 341 4147 45045 455091 4373797 40541699 365712149 3230463379 28067769093 240654781731 2041291828213 17162300683187 143239714105829 1188212150789443
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028135: 1 27 463 6447 79639 910959 9884071 103247199 1048457047 10419680271 101824958599 981887319231 9367184200375 88585292286063 831747262057447 7762970817850143
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028110: 1 23 335 3955 41391 401163 3691255 32746835 282966431 2398399003 20039831175 165661847715 1358507565871 11073172312043 89845493043095 726472924548595
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028054: 1 22 309 3542 36197 344190 3119173 27339334 233997093 1968524558 16351808837 134557949526 1099534023589 8937744119326 72366036152901 584189060834918
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028079: 1 26 433 5894 71533 807002 8661241 89694638 904552165 8939508578 86964763249 835481774582 7946080247197 74954796226154 702270481591657 6542793214395326
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025969: 1 23 353 4603 55449 640851 7242961 80866811 896831177 9909444259 109271790849 1203605509899 13249389022585 145801783940147 1604171188346417 17647994609290267
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028032: 1 20 255 2650 24521 210840 1725235 13631750 104995341 793395460 5908353815 43502236050 317443722961 2299938136880 16567618807995 118785894675550
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028111: 1 24 367 4578 50953 528612 5239459 50371926 474339085 4403719320 40486113031 369718215594 3360676724497 30451202305548 275320935296683 2485597397873982
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025986: 1 20 257 2704 25389 221676 1841449 14758568 115171397 880623172 6627177921 49248518592 362296167325 2643446894108 19158543110873 138087153497176
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025989: 1 23 347 4375 50211 546063 5750347 59371895 605580371 6130227103 61765086747 620509140615 6222647943331 62333853156143 623992946413547 6243906815856535
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028035: 1 23 345 4315 49121 530403 5553385 57088955 580462641 5863054483 58985130425 591995063595 5932878706561 59406619141763 594534243267465 5948154995694235
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A026795: 1 27 475 6915 90571 1110147 13011355 147722355 1638222091 17846324067 191730867835 2037261517395 21455455896811 224319716510787 2331201129229915 24104752246858035
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A025941: 1 22 327 4172 49553 567714 6382699 71043064 786493125 8681598926 95678810591 1053554778276 11595631317817 127591121803258 1403737417995603 15442522109891408
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025992: 1 22 313 3666 38493 377286 3529681 31947322 282198565 2447183310 20920905369 176852694018 1481626607917 12322682753494 101879323774177 838170485025354
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028038: 1 22 311 3608 37485 363594 3368947 30231916 265060169 2283904766 19419219183 163405866624 1363677239653 11304693716338 93205539717419 765024499566932
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028005: 1 26 437 6034 74469 855042 9338629 98346578 1007581157 10104420898 99624776901 968871159282 9317203571365 88769381856194 839190346712453 7881486986566546
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028026: 1 19 230 2270 19971 163569 1278040 9670540 71557541 521211119 3754036650 26822296410 190541788711 1347984742669 9507913700060 66919750327880
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025973: 1 23 349 4443 51597 568155 6054973 63196331 650620333 6637326267 67293219357 679380276939 6838972903309 68706054180059 689275354683901 6908259384473067
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028039: 1 23 342 4198 46403 481341 4792264 46410716 440901285 4131534979 38331795866 353038275954 3233774790247 29499248911337 268261230188748 2433731253526312
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025993: 1 23 344 4258 47487 496725 4981918 48547136 463544213 4361492707 40596873252 374857310334 3440520848779 31434357529169 286207079508746 2598999610410652
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025945: 1 22 323 4016 45873 499386 5280511 54817972 562288925 5721711710 57909049419 583934547768 5873255438857 58969928883394 591360924613847 5925240739579004
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025978: 1 25 415 5805 74271 902325 10616455 122340685 1390355791 15651303525 175025553495 1948179192765 21613189505311 239210965847125 2643048211482535 29167353171072045
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028120: 1 26 431 5824 70077 783510 8335867 85622108 857084393 8414359954 81378676743 777830951352 7365015041749 69207262292558 646271819803859 6003846344524756
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025998: 1 25 409 5565 68481 792645 8815129 95390845 1012475761 10596550965 109756131849 1127967674925 11523334499041 117184641488485 1187466959384569 11999684812451805
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028044: 1 25 407 5501 67239 773589 8559679 92246077 975897527 10187458853 105306474351 1080536075853 11025196931815 112010922356917 1134181907272223 11454404794267229
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028015: 1 29 545 8425 116481 1498569 18339025 216366425 2482819361 27879546409 307689294705 3348390668025 36019012136641 383739078223049 4055195455949585 42559109119075225
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A025950: 1 24 387 5306 66969 806148 9425599 108151662 1225448037 13766224472 153719012811 1709234017218 18948174785905 209602732183596 2315012544644823 25540197959076374
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A025963: 1 22 325 4110 48381 550062 6148165 68149870 752379661 8290355502 91266902805 1004309278830 11049302357341 121551961591342 1337120292662245 14708568942522990
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A028029: 1 22 317 3830 42381 447582 4608877 46813030 471994061 4740248942 47508048237 475624522230 4759030936141 47604501583102 476117036332397 4761534717751430
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A028047: 1 26 441 6214 79157 948090 10903777 121902638 1335052653 14395752514 153368576153 1618401466422 16946521522789 176328040607498 1825046893884369 18806371581048766
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A028064: 1 25 402 5306 62699 691299 7275724 74105812 736913397 7196762573 69311524646 660250818318 6234443691295 58450533199447 544794370231968 5053142176005224
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A026024: 1 26 443 6280 80481 969126 11196103 125634740 1380061661 14917299826 159239422563 1683073423200 17647253908441 183823250672126 1904399083525823 19639540889107660
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028055: 1 23 340 4130 45031 459893 4504690 42928160 401635861 3711270563 34005047440 309788905790 2811170579491 25442007146033 229842147512590 2073840099225020
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A025935: 1 21 300 3710 43071 485751 5405170 59772720 659098341 7258131881 79879876440 878881296930 9668709132811 106360879560411 1169995084978110 12870073026808340
((if x <= 0 then 1 else ((if (((x + 1) div 2) div 2) <= 0 then 1 else (if x <= 0 then 1 else (if ((x + 1) mod (((2 + 2) * 2) + 1)) <= 0 then (x + 1) else 0))) * ((x * 2) - 1))) div (x + 1))
A287285: 1 0 1 0 0 0 0 0 15 0 0 0 0 0 0 0
compr(\x.(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) * (((2 + 2) * 2) + 1)) + 1)))),x,x) + x),(x + 1))
A094695: 5 9 10 11 13 17 18 19 20 21 22 25 26 27 29 33
(loop(\(x,i).((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)),1,(x - (if x <= 0 then 0 else 1))) * 2)
A319410: 0 0 2 2 4 2 6 2 6 4 6 2 10 2 6 6
(((loop(\(x,i).((x * 2) * 2),x,1) - (loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1))) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) div 2)
A083328: 0 1 9 64 423 2716 17199 108004 673983 4183516 25845039 158993044 974443743 5952752716 36262150479 220363399684
((loop(\(x,i).(if x <= 0 then 1 else (((loop(\(x,i).((((loop(\(x,i).(((x - 1) * x) div 2),2,(x + 2)) * x) div (x + 1)) * x) div 2),x,2) div 2) div 2) * x)),x,0) + 1) - x)
A259329: 1 1 1 4872 4611686018427387903 4611686018427387903
(loop(\(x,i).((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)),(if x <= 0 then 0 else 1),(x - 1)) * x)
A168014: 0 0 2 3 8 5 18 7 24 18 30 11 60 13 42 45
(((loop(\(x,i).(x - (if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else ((((x * 2) + 1) mod (2 - ((2 - x) div ((2 + 2) + 1)))) - 1))),x,x))),2,x) + x) + 2) - x)
A293439-A144095: 0 1 1 1 1 2 1 0 1 2 1 2 1 2 2 1
(((((((if x <= 0 then 1 else ((((x * 2) * 2) - (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1)) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A313259: 1 4 9 15 20 25 31 36 41 47 52 56 60 65 71 76
((loop(\(x,i).((x * x) + 2),1,(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x))) div (2 + 1)) + 1)
A082910: 2 3 3 7 3 7 3 7 13 3 13 7 3 7 13 13
((x + 1) mod loop(\(x,i).(x * 2),((loop(\(x,i).(x * x),1,((x mod ((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1)) - 1) mod (x + 1)),1))
A286875: 0 0 0 4 0 0 0 8 9 0 0 4 0 0 0 16
((((((if x <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,2) mod loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) + 1) * 2)) - (x mod 2)) div 2) * (2 + 1)) div 2) + 1)
A244971: 1 1 4 1 4 1 4 1 8 4 4 1 4 4 8 1
(((((((((loop(\(x,i).(x * 2),loop(\(x,i).(x - (if (i - x) <= 0 then i else 0)),x,x),1) div 2) * ((2 + 2) + 1)) + 1) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1)
A104765: 1 1 3 1 3 4 1 3 4 7 1 3 4 7 11 1
((loop(\(x,i).(x * x),1,((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * (x + 1)) + 1))),x) * 2) + 1)) + 1) + (2 + 1))
A005473: 5 13 29 53 173 229 293 733 1093 1229 1373 2029 2213 3253 4229 4493
(((loop(\(x,i).((((loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).((2 + 1) * x),x,(2 + 1))) + 1) div 2) div 2),1,((2 + 1) * x)) * (2 + 1)) * x) * (2 + 1))
A216592: 0 108 27018
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A024446: 1 31 638 10982 171171 2506917 35201776 479688604 6392929061 83765551883 1083070611714 13855878102066 175736023769671 2213065674408529 27704146634051252 345076242383014568
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025130: 1 33 718 12978 211099 3208611 46530856 652053876 8903593717 119147391909 1569038275714 20395728301494 262306431768655 3343671393938727 42305729458640092 531898781072416632
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A025190: 1 34 761 14126 235557 3664290 54296257 776238742 10797496253 146990010986 1966611858393 25940502403998 338149901095189 4364412518972722 55856812102918769 709715336973843494
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A024442: 1 28 518 7988 111279 1454376 18208156 221140696 2626932077 30692791844 354119115714 4046102802924 45880411771195 517157095113232 5801772397167992 64842434348911472
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A024444: 1 29 556 8886 128247 1735335 22472122 281988512 3456550933 41615912481 494043113928 5799461900778 67460105552659 778834444699067 8935702988139574 101983512655795284
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(1 - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A025009: 1 31 632 10682 162183 2297253 31000054 403684144 5115788645 63462153755 773891110356 9306180096486 110619493115587 1302189143870737 15203564170082738 176265669269562908
(x div (if (x - 1) <= 0 then 1 else (((x div (((if x <= 0 then 1 else ((((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2) + 1) * 2)) mod (x + 1)) + 2)) + 1) * 2)))
A206483-A198337: 0 1 1 1 2 2 1 1 2 2 2 2 2 2 3 1
((loop(\(x,i).(x * x),1,(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1))) div 2) div 2)
A337174: 1 2 2 4 2 6 2 6 4 6 2 12 2 6 6 9
((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),1,((loop(\(x,i).(x * x),1,(loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - 1)) div 2) div 2)) * 2) - 1) * 2) + 2)
A093220: 0 800 98000 9980000 999800000 99998000000 9999980000000 999999800000000 99999998000000000 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else (2 - ((x mod 2) - ((((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) - loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) mod (x + 1)) div 2)))) div 2)
A227083: 0 0 1 0 1 1 1 1 2 2 1 3 1 2 2 3
(((x - loop(\(x,i).(x - (if x <= 0 then 1 else (1 - ((((x * x) + 1) div ((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) mod (2 + 1))))),x,x)) + x) div 2)
A280242: 0 0 0 0 1 2 3 4 3 4 5 6 6 6 5 6
((((loop(\(x,i).(if x <= 0 then 1 else (((((((loop(\(x,i).(i * x),(x - 1),1) + 1) div 2) div 2) + 1) div 2) + 1) * 2)),1,(x - 1)) * x) div ((2 + 2) + 1)) + 1) + x)
A335597: 1 2 3 5 6 10 16 52
((((compr(\x.(loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((x * 2) * (2 + 1)) * (2 + 1))) - 1),x) + 2) * 2) div (2 + 1)) - x)
A031231: 1 1 1 1 2 1 2 3 4 4 5 5 6 6 6 5
(if (((((2 + 2) + 1) * x) mod (((((2 + 2) * 2) * 2) * 2) + 1)) mod 2) <= 0 then 1 else (loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,(x + 1)) + x))
A265578: 1 2 1 3 1 2 1 1 1 1 1 1 1 1 1 5
(((if x <= 0 then 1 else ((((((((x - (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1)) * (2 + 1)) div 2) + 1) + x) div 2) + x) * 2)) + x) + x)
A312556: 1 4 8 14 18 24 28 34 38 44 48 52 56 60 66 70
(2 - ((if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 1 else 2) - ((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1))))
A257089: 0 1 1 2 1 2 1 4 2 2 1 3 1 2 2 5
loop(\(x,i).(((x * 2) * (2 + 1)) * ((2 + 2) + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165851: 1 30 30 900 30 900 30 27000 900 900 30 27000 30 900 900 810000
loop(\(x,i).((((x * 2) * 2) * 2) * ((2 + 2) + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165861: 1 40 40 1600 40 1600 40 64000 1600 1600 40 64000 40 1600 1600 2560000
loop(\(x,i).((((2 + 1) * x) * (2 + 1)) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165848: 1 27 27 729 27 729 27 19683 729 729 27 19683 27 729 729 531441
loop(\(x,i).(((((x * 2) * 2) * 2) * 2) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165869: 1 48 48 2304 48 2304 48 110592 2304 2304 48 110592 48 2304 2304 5308416
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165842: 1 21 21 441 21 441 21 9261 441 441 21 9261 21 441 441 194481
loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * (2 + 2)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165849: 1 28 28 784 28 784 28 21952 784 784 28 21952 28 784 784 614656
loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165847: 1 26 26 676 26 676 26 17576 676 676 26 17576 26 676 676 456976
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165843: 1 22 22 484 22 484 22 10648 484 484 22 10648 22 484 484 234256
loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165855: 1 34 34 1156 34 1156 34 39304 1156 1156 34 39304 34 1156 1156 1336336
loop(\(x,i).(((((2 + 1) * 2) * (2 + 1)) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165840: 1 19 19 361 19 361 19 6859 361 361 19 6859 19 361 361 130321
loop(\(x,i).(((((2 + 2) * 2) * (2 + 1)) - 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165844: 1 23 23 529 23 529 23 12167 529 529 23 12167 23 529 529 279841
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165854: 1 33 33 1089 33 1089 33 35937 1089 1089 33 35937 33 1089 1089 1185921
loop(\(x,i).((((((2 + 2) * 2) * 2) * 2) - 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165852: 1 31 31 961 31 961 31 29791 961 961 31 29791 31 961 961 923521
(if x <= 0 then 0 else (((((((x div ((x mod (((loop(\(x,i).(x * 2),(((x div 2) + x) + 1),2) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A333766: 0 1 2 1 3 2 2 1 4 3 2 2 3 2 2 1
(if x <= 0 then 0 else (((((((x mod ((x mod ((x div (((x div 2) mod ((if (x mod (2 + 1)) <= 0 then 0 else 2) + 1)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A173442: 0 1 1 2 1 2 1 3 2 3 1 2 1 3 3 4
((((((((x + 1) div (((1 - ((if x <= 0 then 2 else (loop(\(x,i).((i + x) + x),x,0) div (x + 1))) * 2)) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) - 1)
A249422: 0 0 0 0 0 1 0 0 0 0 0 0 0 2 5 0
(if x <= 0 then 0 else (((((((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * 2) - 1) mod (x + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1))
A053821: 0 1 1 1 2 2 2 1 1 3 2 2 3 3 3 1
((loop(\(x,i).(x * 2),((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) - 1),1) div 2) + 1)
A011776: 1 1 1 1 1 2 1 2 2 2 1 5 1 2 3 3
(((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * (if ((x + 1) mod ((2 + 2) * (2 + 1))) <= 0 then 2 else 1))
A066921: 0 1 1 2 1 2 1 3 2 2 1 6 1 2 2 4
(((((((((((loop(\(x,i).((if x <= 0 then 1 else (((x mod 2) * x) + (x div 2))) + x),x,1) div 2) div 2) + 1) + (x mod 2)) div 2) + 1) * 2) mod (x + 1)) div 2) div 2) + 1)
A201080: 1 1 1 1 1 1 2 1 1 1 1 3 3 4 3 3
(((loop(\(x,i).(((((x * x) * (x * x)) div 2) * x) * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div (2 + 1)) div ((2 + 2) + 1))
A138451: 1 12 260 1960 29524 80444 402288 784092 2467256 9913708 14791712 42762084 79168376 105356020 179653552 369405972
(((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) + (((x + 1) * 2) * ((2 + 2) + 1)))
A065998: 11 22 32 43 52 64 72 84 93 104 112 126 132 144 154 165
(1 - (((((x mod 2) - (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x))) * 2) + 1) div (2 + 1)))
A143117: 2 2 2 3 2 3 2 3 5 2 5 3 2 3 5 4
((loop(\(x,i).(x * 2),(((((((((((if x <= 0 then 0 else ((1 - (x div 2)) * 2)) + 1) * (2 + 1)) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1),1) * 2) - (2 + 1))
A151994: 5 13 13 29 29 61 61 61 61
((((((if (x mod 2) <= 0 then ((((2 - ((x div 2) mod 2)) * ((2 + 2) + 1)) - 1) * (if x <= 0 then 1 else 2)) else 1) * 2) * ((2 + 2) + 1)) div (2 + 1)) + 2) div (2 + 1))
A010184: 10 1 9 1 20 1 9 1 20 1 9 1 20 1 9 1
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * loop(\(x,i).(((x * x) * x) * (x * x)),(x * 2),(2 + 1))) * (2 + 1)) + ((x * 2) + 1))
A211378: 19 7625597484990 4611686018427387903
(compr(\x.(1 - ((((loop(\(x,i).((((x div (2 + 2)) + 2) + 2) * x),1,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) div 2) div (2 + 1)) mod (2 + 1))),x) + 1)
A184987: 3 5 6 7 9 10 11 12 13 14 15 17 18 20 22 23
compr(\x.(x mod 2),(compr(\x.(1 - ((((if x <= 0 then 1 else ((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div 2) + 1) * 2)) + 2) * 2) mod (2 + 1))),x) + 1))
A181794: 4 6 10 12 14 16 20 22 24 26 28 34 36 38 44 46
((((((((if x <= 0 then 1 else ((x - (x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)))) + ((x + 1) div 2))) + (x * 2)) + 1) + x) div 2) + x) * 2) div (x + 1))
A082090: 2 3 4 4 5 5 5 5 5 5 6 5 6 6 6 5
(((if x <= 0 then 0 else (((((((x div (((((loop(\(x,i).((x div 2) + x),x,2) div 2) div 2) + 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2)
A080345: 0 1 1 1 1 1 1 2 1 1 2 3 2 1 1 2
((if x <= 0 then 2 else ((((((((loop(\(x,i).(x div (2 - (x mod 2))),x,((((x + 1) * x) div 2) + 1)) div 2) div (2 + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) div 2)
A029271: 1 0 0 1 1 0 1 1 1 1 1 2 3 1 2 4
((1 - (if x <= 0 then 0 else (((((((((loop(\(x,i).(x * 2),(x - (x div ((2 + 2) * 2))),2) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))) - 2)
A299990: ~1 ~2 ~2 ~3 ~2 ~3 ~2 ~4 ~3 ~2 ~2 ~4 ~2 ~2 ~3 ~5
(((((((((loop(\(x,i).(((x * 2) - (x div ((if (x mod 2) <= 0 then 1 else ((2 + 2) * 2)) + 2))) + 1),x,1) div 2) div 2) + 1) * (2 + 1)) div 2) + 1) div 2) + 1) div 2)
A306006: 1 1 1 2 3 5 10 16 30 57
((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)) - (x div (((2 + 1) * 2) + 1))) div 2)
A331366: 1 1 1 1 2 1 2 1 2 3 1 3 2 1 1 2
(((((if x <= 0 then 1 else ((((((if (x mod 2) <= 0 then (((((2 + 1) * 2) + 1) * 2) * (x + 2)) else 2) * 2) * 2) + 1) mod (x + 1)) + 2)) * 2) + 1) div (2 + 1)) div 2)
A035456: 0 1 0 1 1 1 1 1 1 3 1 3 2 3 4 3
((if x <= 0 then 0 else (compr(\x.((((((if x <= 0 then 1 else (((((x mod 2) * 2) + x) div ((2 + 2) + 1)) + ((x * 2) * 2))) + x) + 2) * 2) mod (2 + 1)) - 1),x) + 1)) + 2)
A308395: 2 5 6 9 10 13 14 17 18 20 21 22 24 25 26 27
((((if x <= 0 then 0 else ((((((((((if (((x div 2) + x) mod ((2 + 2) + 1)) <= 0 then 2 else 1) + 1) * x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) + 2) div 2)
A285717: 1 2 2 3 3 3 3 4 3 4 5 4 4 4 4 5
((((((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) + 1) * (if x <= 0 then 1 else 2)) * (2 + 1)) - 1) div 2) * (2 + 1)) div 2) div 2)
A066637: 0 1 1 3 1 3 1 6 3 3 1 8 1 3 3 12
((loop(\(x,i).((((((((loop(\(x,i).((((2 + 2) + 1) * x) * 2),(x + 1),(x + 1)) - 2) * 2) * (2 + 1)) - 1) * 2) * (2 + 1)) + 1) * 2),x,1) + 2) * 2)
A134728: 6 28496 4611686018427387903 4611686018427387903
(loop(\(x,i).((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),2) * 2) * 2) div (2 + 1)) + 1),2,x) - 2)
A205545: 1 1 1 1 1 1 1 20 20 1 1 84 1 84 1 1
(((if x <= 0 then 1 else (((x * 2) - ((((((((((if ((x div 2) - 2) <= 0 then 1 else 0) + x) div 2) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) - 1)) * 2)) + x) + x)
A310341: 1 4 10 12 18 20 26 30 34 40 42 48 50 56 60 64
(((x - 1) mod ((x mod (((((((if x <= 0 then 2 else (1 - ((((x div (2 + 1)) * 2) * 2) div (2 + 1)))) + 1) mod (x + 1)) * 2) + 1) mod (x + 1)) + 2)) + 1)) + 1)
A332937: 1 1 2 3 4 1 1 1 2 1 1 1 3 1 2 5
(((loop(\(x,i).(x * 2),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1) - 2) mod (((2 + 2) * 2) + 1)) + 1)
A146900: 1 1 1 1 3 1 1 7 7 1 1 6 9 6 1 1
(((((((x div ((x mod (((loop(\(x,i).(x * 2),x,((((2 + 2) * 2) * (2 + 1)) - 1)) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A336470: 1 1 2 1 2 2 3 1 4 2 5 2 3 3 6 1
(if x <= 0 then 1 else ((((((((x mod ((((x - 1) mod ((x div (((x div 2) mod (2 + 1)) + 2)) + 1)) * 2) + 1)) + 1) * (2 + 1)) div 2) * 2) * 2) div (2 + 1)) + 1))
A115281: 1 2 2 2 5 2 2 6 6 2 2 6 9 6 2 2
(if (x * 2) <= 0 then 1 else (((((((((((((x mod ((x div 2) + 1)) div 2) + ((x * 2) * 2)) * 2) + x) + 1) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) - 1))
A314913: 1 5 9 14 19 25 29 34 39 44 49 53 58 63 68 73
((((((((if x <= 0 then 1 else (((((x * 2) * 2) - (((2 + 1) * x) div ((2 + 2) + 1))) * 2) div (2 + 1))) + (x * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A058759: 1 4 8 13
A311799: 1 4 8 13 17 21 25 29 33 37 41 46 50 55 59 63
((((x mod (((x mod ((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 2) + 1) * 2)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1)) + 1)
A080388: 1 1 1 1 2 1 1 1 2 1 6 1 2 3 1 1
(((((loop(\(x,i).(((x + 2) * (2 + 1)) - 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div 2) + 1) div 2) + 1)
A187617: 1 1 1 1 2 1 1 5 5 1 1 13 36 13 1 1
(if x <= 0 then 2 else ((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) * (2 + 1)) div 2) + 1))
A154844: 2 1 1 1 2 1 1 4 4 1 1 7 14 7 1 1
((((((((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) mod (((x mod (2 + 2)) + 2) * 2)) + 1) div 2) + 1) div 2) + 1) * 2) + (x mod (2 + 1))) div 2) - 1)
A199596: 1 1 2 1 1 2 2 1 2 2 1 2 1 1 3 1
((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + loop(\(x,i).(x * x),1,(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))))
A281385: 0 1 1 4 5 4 9 11 11 9 16 19 20 19 16 25
(((((loop(\(x,i).((2 + 1) * x),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) div (2 + 1)) + 1) mod (2 + 1)) + 1) - (((x mod 2) * 2) + 1))
A081729: 1 0 2 ~1 2 ~1 1 ~1 2 ~1 1 ~1 1 ~1 1 ~1
(((((loop(\(x,i).(x * x),1,(1 - ((((x * 2) - (x mod ((((x - 1) * x) mod ((2 + 2) * 2)) + 1))) + 1) * 2))) div 2) div 2) div (2 + 1)) + 1) mod (2 + 1))
A135341: 1 0 0 2 1 1 0 1 1 1 1 1 1 2 1 2
((((loop(\(x,i).(((x * 2) - (x mod 2)) + 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) * 2) * 2) + 1) div (2 + 1))
A176331: 1 1 1 1 3 1 1 7 7 1 1 13 28 13 1 1
(2 - ((((x mod (((((if (x - (2 + 2)) <= 0 then 0 else ((x mod ((x mod (2 + 2)) + 1)) + 1)) + 1) * ((2 + 2) + 1)) mod (x + 1)) + 2)) div 2) + 1) mod (2 + 1)))
A053692: 1 1 0 1 1 1 1 1 0 0 2 0 1 1 1 2
(loop(\(x,i).(x * x),1,(((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)))
A073254: 0 1 1 4 3 4 9 7 7 9 16 13 12 13 16 25
(((((if x <= 0 then 1 else ((((x * 2) * 2) - (((((x div (2 + 1)) + x) mod (2 + 1)) + x) div (2 + 1))) * 2)) * 2) + 1) div (2 + 1)) + ((x + 1) div (2 + 1)))
A313846: 1 5 10 16 20 27 31 37 42 47 52 57 63 67 74 78
((((((if x <= 0 then 1 else ((((((x div (2 + 1)) mod (2 + 1)) + (x * 2)) div (2 + 1)) + (x * 2)) * 2)) * 2) + 1) div (2 + 1)) + x) + ((x + 1) div (2 + 1)))
A310454: 1 4 10 15 20 24 29 34 40 44 48 54 59 64 68 73
((((((((((x * 2) * 2) - ((((((x div 2) div (2 + 1)) mod 2) - (if x <= 0 then 1 else x)) * 2) div (2 + 1))) * 2) * 2) div (2 + 1)) + x) + 1) * 2) div (2 + 1))
A313619: 1 5 10 14 20 25 29 33 38 44 48 53 58 63 68 72
(((((if x <= 0 then 1 else (((((((((x + 1) div (((x mod ((x mod 2) + 2)) + 1) * 2)) div 2) + 1) - (x mod 2)) + 1) + x) div 2) * 2)) + x) + x) + 2) mod (2 + 1))
A138363: 0 0 1 0 1 0 1 0 0 2 0 0 0 0 0 1
(((((((((((if (((x div 2) - 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) div (2 + 1)) + 1) + x) * 2) - 1) div (2 - ((1 - x) div (2 + 1))))
A293771: 0 2 3 4 5 5 6 6 6 7 8 7 8 8 8 8
(((((((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),((x * 2) - 1),1) * (x + 1)) div 2) + 1) div (2 + 1)) * 2) + 1) + x) + x) mod (2 + 1))
A008626: 1 0 0 0 0 0 0 1 1 0 1 2 1 0 0 2
(compr(\x.((x mod ((((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) mod ((2 + 2) * 2)) + 1) * 2) * (x + 1)) mod (2 + 1)) - 1) mod (x + 1)) + 1)) - 1),x) + 1)
A343108: 1 2 4 5 7 8 10 13 14 16 17 20 23 25 26 28
((((((((((((((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2) * 2) + 1) * ((x div 2) + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x + 1))
A194125-A073726: 2 3 4 5 6 7 9 10 11 15 17 18 20 21 22 23
((2 - ((((loop(\(x,i).((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)),(2 + 1),x) + 1) div (2 + 1)) + 1) mod ((2 + 2) + 1))) mod (x + 1))
A054070: 0 1 0 1 0 0 1 1 1 0 1 1 2 1 0 1
((((((((((((((((loop(\(x,i).((x - 2) * x),2,(x - 2)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div (2 + 1)) + 1) div 2)
A308929: 0 0 0 0 0 0 0 1 1 2 3 5 8 13 19 27
(((x div 2) - (1 - (x mod (((((((((loop(\(x,i).(((x mod 2) * x) + (x div 2)),x,x) + 1) mod 2) * x) + 1) mod (x + 1)) * 2) + 1) mod (x + 1)) + 1)))) div 2)
A051631: ~1 0 0 1 0 1 2 1 1 2 3 3 2 3 3 4
(((((((((((if x <= 0 then 1 else (((((x + 2) div (((x + 1) mod (2 + 1)) + 1)) div 2) + 1) * 2)) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A161039: 0 0 1 1 1 1 1 1 2 1 1 3 2 2 5 3
(((((((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) * (x + 1)) div 2) + 1) div 2) + x) div 2) + 1) - (x mod 2)) + 1) div 2) + 1) div 2)
A304714: 1 1 1 1 1 2 1 2 2 3 2 5 2 5 5 6
(((((loop(\(x,i).((((2 + 2) + 1) * x) + 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div 2) div 2) + 1) div 2)
A283494: 0 0 0 0 0 0 0 2 2 0 0 12 59 12 0 0
((loop(\(x,i).i,((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * 2) + 1) * 2) div (2 + 1)) * 2),1) * (2 + 1)) div 2)
A132047: 1 1 1 1 6 1 1 9 9 1 1 12 18 12 1 1
((((x - ((((((x * 2) + 1) div ((x div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1)) - ((x + 1) * 2)) * 2) div (2 + 1))) * 2) div (2 + 1)) div 2)
A045747: 0 1 1 2 1 3 2 5 3 5 3 8 4 7 5 12
(2 - ((((loop(\(x,i).(((((x + 1) mod ((x div ((x mod ((x mod 2) + 2)) + 2)) + 1)) + 1) mod (x + 1)) + 1),2,x) div 2) div 2) + 1) + ((x div (2 + 1)) mod 2)))
A187036: 1 1 1 0 ~1 0 1 0 0 0 ~1 0 0 0 1 0
(2 - ((loop(\(x,i).(1 - (x mod ((((x mod (((x mod ((2 + 2) + 1)) + 1) * ((x mod ((2 + 2) + 1)) + 1))) + 1) mod (x + 1)) + 1))),1,(x * 2)) + 1) div 2))
A319135: 1 1 1 2 1 1 2 1 1 2 1 3 1 2 1 1
((((((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) * 2) + 1) mod (x + 1)) + 2)
A105555: 2 3 3 5 3 7 3 7 5 7 3 13 3 7 7 11
((if x <= 0 then 1 else x) div ((((((((x div 2) div ((x mod (((x mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2))
A078897: 1 1 1 3 1 2 1 7 4 2 1 5 1 2 3 15
(((loop(\(x,i).(((x div 2) + 1) * (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) * ((2 + 2) + 1)) div 2) div 2)
A328300: 1 1 1 1 3 1 1 7 7 1 1 15 26 15 1 1
(if x <= 0 then 1 else ((((((((((((((((x div 2) div (2 + 1)) * (2 + 1)) div 2) + x) * (2 + 1)) div 2) + 1) + x) div 2) + 1) + x) * 2) div (2 + 1)) + x) * 2))
A315638: 1 6 12 16 20 26 32 38 42 46 52 58 64 70 74 78
(((((if (x mod (((2 + 1) * 2) + 1)) <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) + (x * 2)) + 1) + x) div 2)
A256133: 1 2 3 5 7 8 9 11 13 14 15 18 20 21 22 23
((if x <= 0 then 1 else ((((((x mod ((x div (((x div 2) mod ((x mod (((x * 2) mod (2 + 1)) + 1)) + 1)) + 1)) + 2)) + 1) mod (x + 1)) div 2) + 1) * 2)) - (x mod 2))
A060272: 1 1 2 1 2 1 2 3 2 1 6 5 2 1 2 1
((((((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x) + 1) + ((x mod 2) * 2)) + x) + x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A223133: 1 4 5 6 8 10 11 14 15 18 19 22 23 26 27 30
compr(\x.(((((((((x div (((x div 2) mod ((x mod ((if (x mod ((2 + 2) + 1)) <= 0 then 2 else 0) + 2)) + 1)) + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) mod (2 + 1)),x)
A295486: 9 12 13 14 16 19 23
((((if x <= 0 then 0 else (((((((x div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 2) * 2) + x)
A090384: 4 7 10 13 14 13 16 17 20 19 20
((x div ((x mod ((x mod ((((((((((((x div (2 - (x mod 2))) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2) - 1) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A295311: 1 1 3 2 5 3 7 1 3 5 11 1 13 7 15 8
((((((x div ((x div ((2 + 2) + 1)) + 1)) + 1) mod 2) * 2) - 1) div ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1))
A155076: 1 ~1 1 ~1 0 1 ~1 ~1 0 1 ~1 ~1 0 0 1 ~1
(x div (((((((((((((((x mod (2 + 1)) * x) div (2 + 1)) + 1) div (2 + 1)) + 1) * ((x * 2) + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A233867: 0 1 1 1 2 1 2 1 1 3 2 1 4 2 1 3
(((((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2)) * ((2 + 2) + 1)) div 2) div (2 + 1)) + 1)
A169594: 1 2 2 4 2 4 2 6 4 4 2 7 2 4 4 9
(((((((((((((((((((x div 2) mod 2) + x) div 2) + x) * 2) + x) + 1) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) + x) + 1) * 2) div (2 + 1)) + 1)
A043000: 2 4 7 9 11 13 16 19 21 23 25 27 29 31 35 37
(((((((((((x mod ((x mod ((x div ((x mod ((2 + 2) + 1)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) mod (x + 1)) + 2) mod (2 + 1)) - 1)
A344864: 1 ~1 ~1 ~1 ~1 0 ~1 0 ~1 0 ~1 1 ~1 0 0 ~1
(x div ((x div ((((((((((x mod (((((x mod (2 + 2)) * 2) - 1) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) + 1)) + 1))
A279346: 0 1 1 1 2 2 1 2 2 2 1 3 3 2 2 2
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 1)) div 2) + 1)
A271465-A124834: 1 1 1 1 2 1 1 3 4 1 1 4 11 8 1 1
(2 div (((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1) * (((2 - (x div (2 + 1))) mod (2 + 1)) + 1)) div 2) + 1))
A167230-A093658: 1 1 1 1 0 1 2 1 1 1 1 0 0 0 1 2
((((((((((((((x mod (2 - (x div (((x div 2) mod 2) + 1)))) mod 2) * (x + 1)) div (2 + 1)) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1)
A305976: 1 2 2 2 2 3 2 2 2 4 2 5 2 6 7 2
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((x div 2) + 1) div 2) + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1)
A046539: 1 1 1 1 1 1 1 4 4 1 1 7 8 7 1 1
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2)) div 2) + 1)
A135646: 1 2 2 3 3 3 4 5 5 4 5 6 7 6 5 6
((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((((((x div 2) + 1) div 2) * 2) * 2) * 2) - 1)) div 2) + 1) * 2) + 1) div (2 + 1))
A296541: 1 1 1 1 3 1 1 5 5 1 1 8 16 8 1 1
((compr(\x.(((((((((((((x mod ((x mod (2 + 2)) + 1)) + 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) mod (2 + 1)),x) - 1) mod (2 + 1))
A333451: 1 1 2 1 2 0 0 1 1 2 2 0 2 1 2 1
((((x div ((((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + (x mod 2)) + 1) mod (x + 1)) + 1)) + 1) * 2) div (2 + 1))
A304574: 0 1 1 1 2 1 2 1 3 2 4 1 4 2 3 2
(1 - (((((((((((x mod (((2 - ((x * 2) mod ((2 + 2) + 1))) mod (x + 1)) + 2)) + 1) div 2) * 2) + 1) mod (x + 1)) div 2) * 2) + 1) * 2) div (2 + 1)))
A238882: 1 1 1 1 1 ~1 1 1 ~1 1 ~1 ~1 1 ~1 1 ~2
(((((((((((((((x + 1) * x) * (2 + 1)) * ((2 + 2) + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) - x) + 1) * 2) mod (2 + 1))
A039978: 1 0 2 2 1 1 0 1 1 2 1 0 0 2 2 1
(((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div (2 + 1)) - (x mod (2 - ((x div 2) mod 2)))) + 1)) + 1) * 2) * 2) div (2 + 1))
A147566: 1 1 1 1 4 1 1 5 5 1 1 6 14 6 1 1
((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) * 2) div (2 + 1)) + 1) * 2) * 2) div (2 + 1))
A334552: 1 1 1 1 4 1 1 8 8 1 1 12 25 12 1 1
(((((((((((((((x div 2) mod 2) + x) div 2) * ((2 + 2) + 1)) + 1) div (2 + 1)) + 2) * 2) div (2 + 1)) - 1) + (x * 2)) + x) + (x div 2)) + (2 + 1))
A225521: 3 6 11 15 19 22 27 32 36 39 43 48 52
(((((((((((((((x div 2) + 1) * ((2 + 2) + 1)) + x) + 1) * 2) * (2 + 1)) - 1) * 2) div (2 + 1)) * ((2 + 2) + 1)) + 1) + x) + x) + (2 + 1))
A039557: 119 141 263 285 407 429 551 573 695 717 839 861 983 1005 1127 1149
(((((((((((((((((((x + 1) * x) * (2 + 1)) - 2) * x) div 2) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + x) * 2) + 1) div (2 + 1)) + 1) - (x + 1))
A173645: 0 0 0 0 1 3 6 10 15 22 31 42 55 70 87 107
compr(\x.(1 - (((((((x + 1) div ((((((x * x) mod ((x mod ((2 + 2) * 2)) + 2)) mod 2) + 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))),(x + 1))
A084368: 1 2 3 4 9 10 12 14 15 16 17 19 21 22 23 24
((((((((((((((((((x + 1) * x) + 1) * x) - 1) * (x + 1)) + 1) div (x + 1)) + x) * 2) + 1) + x) + x) div (2 + 1)) + x) * 2) + 1) div (x + 1))
A328363: 1 4 9 16 26 38 53 70 90 113 138 166 197 230 266 305
((2 - ((x + 1) mod ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (2 - (((x div ((x mod ((2 + 2) + 1)) + 1)) + 1) * 2))) - 1))) div 2)
A332700-A256268-A213275-A069777: 1 1 1 1 1 1 1 2 1 1 1 6 3 1 1 1
((((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) - ((x div ((x mod 2) + 2)) mod (2 + 1))) mod (x + 1)) + 1) div 2) + 1) div 2) + 1) div 2)
A108339: 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 2
((((((x mod (((((((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) div 2)
A248639: 0 0 0 1 0 0 1 0 0 0 1 1 1 2 0 0
((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 2) * (2 + 1))) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2)
A339231: 1 1 1 1 3 1 1 6 7 1 1 10 23 13 1 1
((2 + 1) mod ((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((2 - x) div 2)) div 2) + 1) div 2) * 2) + 1) * 2))
A174952: 1 1 1 1 1 1 1 ~1 ~1 1 1 ~11 ~15 ~11 1 1
((((x * x) div ((((((((((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) + 1) div 2) * 2) + x) + 2) div (2 + 1)) + 2) + 2)) + 1) div 2)
A325106: 0 0 0 1 1 2 3 4 4 5 6 7 8 9 10 13
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * 2) * 2)
A098352: 4 8 8 12 16 12 16 24 24 16 20 32 36 32 20 24
((((1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * (x div ((2 + 2) + 1)))) * ((2 + 2) + 1)) div 2) div 2)
A340934: 1 1 1 1 1 1 1 3 3 1 1 8 13 8 1 1
(((((((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div (0 - 2)) - 1)) div 2)) * (2 + 1)) div 2) + 1) * (2 + 1)) div 2) - 2)
A054110: 1 1 1 1 5 1 1 8 8 1 1 10 17 10 1 1
((((((0 - (x mod ((2 + 2) + 1))) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 2) * (2 + 1)) div 2) - 2)
A219585: 1 1 1 1 1 1 1 2 1 1 1 5 5 2 1 1
((((((((((((((x * 2) - (((x * 2) + 1) div (((2 + 1) * 2) + 1))) * 2) + 1) * 2) div (2 + 1)) + x) * 2) div (2 + 1)) + x) + x) + x) + 2) + 2)
A189388: 4 9 15 19 25 30 36 40 46 51 56 61 66 72 76 82
(((((x - (((x - ((((x - ((2 - ((x + 1) div ((2 - ((x div (2 + 2)) mod 2)) * 2))) div 2)) div 2) div 2) - 1)) * 2) div (2 + 1))) * 2) + 1) - x) + 2)
A285200: 1 2 1 2 3 2 1 2 3 2 1 2 3 4 3 2
(((((((((((((1 - ((x - ((x * x) div (2 + 1))) div (2 + 1))) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2))
A225044: 1 0 1 0 2 1 2 2 4 4 5 6 9 10 13 14
((((((((((((x + 1) * (2 + 1)) * (2 + 1)) - (x mod ((2 + 2) + 1))) * (((x + 1) * 2) + 1)) div 2) div (2 + 1)) + x) * 2) div (2 + 1)) + 1) - x)
A234940: 3 10 19 32 49 77
((((((((((((((x + 2) * x) + 2) div (1 - (x - (((2 + 2) * 2) * (2 + 1))))) + 1) * 2) div (2 + 1)) + 1) + x) + 2) + 2) + x) + (2 + 1)) - x)
A120209: 8 9 10 11 13 14 16 17 19 21 24 26 29 32 36 40
compr(\x.(((((((((((((2 mod ((x mod (2 + 1)) + 1)) - (x mod (((2 + 1) * 2) + 1))) + 1) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2),x)
A297135: 6 12 13 18 19 20 24 25 26 27 30 31 32 33 34 37
((((((((((((((((((2 + 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2) + 1) * (2 + 1)) div 2) div 2) + x) + x) + x) + x) + 2) div (2 + 1)) + 2) + x)
A034972: 2 8 17 29 44 63 85 110 138 170 205 243 284 329 376 427
compr(\x.(2 - (x mod ((((x + 1) mod (((((((((x + 1) div ((x mod ((2 - (x mod 2)) * 2)) + 2)) + 1) div 2) + 1) * 2) mod (2 + 1)) div 2) + 1)) + 2) + 2))),x)
A307414: 2 3 6 7 10 11 12 14 15 18 19 22 23 24 27 30
(((((((((((((((((((x + 2) * (x + 2)) * 2) div (2 + 1)) + x) + 1) + x) div (2 + 1)) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) + 2) + x) + x)
A190952: 4 8 12 16 21 26 30 35 40 45 51 56 61 67 72 78
((((((((((((((((x * x) * (x * x)) + 1) * x) * x) * ((x * x) + 1)) div 2) * (x - 1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + x) * x) + x)
A217524: 0 3 84 4935
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) + loop(\(x,i).(x * 2),i,1)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A028159: 1 34 740 13160 208656 3075744 43147840 584341120 7711252736 99794799104 1272281687040 16031996897280 200167551471616 2480945949220864 30569500530851840 374885865442672640
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A028143: 1 32 660 11200 170576 2429952 33121600 437888000 5663851776 72087887872 906450621440 11292447129600 139666259070976 1717603091873792 21027551488327680 256495170125824000
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A075510: 1 30 560 8400 111216 1360800 15790720 176563200 1922176256 20518417920 215825326080 2244998246400 23153670762496 237224718704640 2418102840688640 24549985173504000
(((((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else (((if x <= 0 then 2 else (loop(\(x,i).(x * 2),(x - 2),x) - ((if x <= 0 then 1 else x) * (x - 1)))) div 2) * 2))) div 2) + 1) div 2) + 1) div 2)
A159710: 0 0 0 0 8 80 528 2912 14592 69120 316160 1413632 6223872 27103232 117067776 502456320
(((loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,1))) + 2)
A001553: 6 21 91 441 2275 12201 67171 376761 2142595 12313161 71340451 415998681 2438235715 14350108521 84740914531 501790686201
((loop(\(x,i).(x * 2),(((((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((if ((x div (2 + 1)) - 2) <= 0 then 0 else 2) * 2))) - 1) mod (x + 1)) div 2) + 1) div 2),1) div (2 + 1)) + 1)
A232800: 1 1 1 1 1 1 2 2 2 2 1 2 1 2 1 6
(loop(\(x,i).((loop(\(x,i).((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) + compr(\x.(loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)),x)),1,i) + 1) + x),x,1) + 1)
A061802: 2 7 15 27 45 69 99 135 177 229 289 357 435 519 609 709
(((loop(\(x,i).(if x <= 0 then 1 else (((((loop(\(x,i).((loop(\(x,i).(((i + 2) * x) * 2),((x * 2) * 2),1) + 1) * 2),x,1) * 2) + 1) + x) * x) * 2)),2,x) + 1) * 2) - 1)
A116134-A116122-A116097: 92185 4611686018427387903 4611686018427387903 4611686018427387903
((((loop(\(x,i).((x + 1) * 2),(x - 1),(if x <= 0 then 1 else ((((loop(\(x,i).((2 + 1) * x),(x - 1),1) + 1) + loop(\(x,i).(x * 2),x,1)) + 1) div 2))) + 1) div 2) div 2) + 1)
A233162: 1 1 3 11 48 236 1248 6896 39168 226496 1325568 7821056 46399488 276294656 1649369088 9862639616
loop(\(x,i).(loop(\(x,i).(x * x),1,(if x <= 0 then 1 else ((((((loop(\(x,i).((((2 + 2) * (x - 1)) * ((2 + 2) + 1)) - 1),x,1) div 2) div 2) + 1) div 2) + 1) * 2))) - 1),x,1)
A135760: 1 3 43263 4611686018427387903 4611686018427387903
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(x * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A026543: 1 27 481 7191 98161 1272663 16005025 197611623 2412718033 29257382583 353312653057 4255864465671 51186427162417 615069092006487 7386770412718177 88683539390560935
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028082: 1 29 547 8561 121219 1617833 20812219 261490097 3235181587 39620718137 481957803691 5836292549633 70462254871555 848987132460041 10215522905076763 122808633740991569
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028141: 1 31 619 10171 150115 2075227 27499123 354164107 4472448739 55701408763 686884421587 8409900709483 102430894160323 1242818548606939 15036887507052211 181551642806017099
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028114: 1 27 475 6975 93451 1191447 14779315 180568575 2187814651 26388443367 317513959555 3815510712975 45819341339851 550037207863287 6601706608906195 79228188287078175
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loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A041001: 1 14 125 906 5810 34364 191901 1026610 5312230 26767940 131990066 639210404 3048892740 14354652152 66828135005 308078809794
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A028124: 1 28 503 7406 97545 1198344 14051227 159447442 1766581949 19223504300 206298840111 2189789938518 23040266816113 240689810119696 2499511822660355 25828790012697434
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A025983: 1 27 485 7335 101181 1319967 16597525 203384295 2445473261 28983189807 339647023365 3944444998455 45472205947741 521027509282047 5939635577526005 67419323254471815
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A028068: 1 27 472 6810 88351 1073217 12477502 140675040 1550817301 16809628407 179833708132 1904095702470 19993394169451 208508925363597 2162279358272362 22317580796873100
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028056: 1 24 373 4800 55861 613224 6497893 67364880 688931221 6985860024 70462212613 708365604960 7106726476981 71208736700424 712951450202533 7134775273637040
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A025946: 1 23 356 4702 57435 672441 7683502 86531384 965954429 10724321179 118659465288 1310098171746 14444989850383 159132262849037 1752116527119314 19284913291752988
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028075: 1 25 400 5230 60991 661675 6836950 68263360 664838581 6356961325 59947423900 559395635890 5177995501771 47632122760975 436056971109250 3977028159426820
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028089: 1 27 466 6558 82075 952329 10485532 111125916 1144265749 11522055831 113982102598 1111567913274 10714164992623 102277469691333 968483992074064 9108558269363832
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A025953: 1 25 420 5990 78431 976275 11762890 138612880 1607750661 18432396125 209480782160 2364808954170 26557583235691 297035583017575 3311510934334230 36823696010925860
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A028030: 1 23 350 4510 53691 614373 6891160 76527020 845660981 9322579123 102653929170 1129737260730 12429895581871 136743043622273 1504245500346380 16547064858237640
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A028070: 1 29 550 8690 124531 1684079 21954280 279351380 3496283461 43256856929 530819707210 6475595107670 78659578436791 952489924910579 11507069203563340 138779617656909560
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + x) + (x * 2)),x,1)
A025955: 1 26 455 6760 92121 1191606 14892475 181671620 2176950941 25732149586 300910712895 3488589043680 40160193084961 459619264745966 5234383334635715 59363930948274940
(loop(\(x,i).((((if (x - 1) <= 0 then 1 else (loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)) * 2)) + x) + 2) * 2),1,(x - 1)) mod (x + 1))
A074644: 0 0 2 0 0 4 0 0 0 0 0 4 0 0 10 0
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (x * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))) - x),x,1)
A026028: 1 27 480 7130 96111 1221537 14941750 178032960 2082076821 24019528247 274281235020 3107772782790 35002020287131 392372934746157 4382268859012290 48800507502984620
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + x) + x),x,1)
A028060: 1 24 370 4680 53011 560784 5670820 55595760 533237221 5034115944 46976235670 434592270840 3994583040631 36537064953504 332949559310920 3025434129325920
(loop(\(x,i).((loop(\(x,i).((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)),1,i) + 1) + x),x,0) + 2)
A156745: 2 5 8 12 15 20 23 28 32 37 40 47 50 55 60 66
(((((loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (if ((x mod (2 + 1)) div 2) <= 0 then x else ((x + 1) div 2)))),x,(x + 1)) + x),2,x) - 1) * (x + 1)) div (2 + 1)) + 1) * 2)
A038674: 2 2 4 4 2 6 6 2 8 8 16
((((((((loop(\(x,i).(((x * 2) * (2 + 1)) + 1),x,0) - loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).(x * 2),x,1)) - loop(\(x,i).(x * 2),x,1)) div 2) + 1) div 2) + 1) div 2)
A241271: 0 0 0 3 27 183 1143 6951 41895 251751 1511271 9069159 54418023 326514279 1959097959 11754612327
(loop(\(x,i).((((((((x * x) - (if x <= 0 then 1 else (x - (loop(\(x,i).loop(\(x,i).((i * i) + x),(x - 1),1),2,x) - 1)))) * x) div 2) div (2 + 1)) mod 2) + 1) + x),x,1) + 2)
A325439: 3 4 6 7 9 10 11 13 14 15 16 17 19 21 23 24
((((((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * (2 + 1)) else 1) * (2 + 1)) - (if x <= 0 then 1 else 2)) * ((2 + 2) + 1)) + 1) div (2 + 2))
A040458: 21 1 9 1 42 1 9 1 42 1 9 1 42 1 9 1
((if x <= 0 then 1 else (((((((loop(\(x,i).(((x * 2) * 2) * 2),x,1) - loop(\(x,i).(((2 + 1) * x) + 2),x,0)) + loop(\(x,i).(x * 2),x,1)) div 2) + x) div 2) + x) * 2)) - x)
A080503: 1 5 34 253 2024
(((((compr(\x.loop(\(x,i).loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 0 else 1)),x,x),1,(((((2 + 2) + 1) * x) + 2) * 2)),x) * 2) + 1) * 2) * ((2 + 2) + 1)) + 1)
A141884: 11 31 71 131 151 191 211 251 271 311 331 431 491 571 631 691
((loop(\(x,i).((x + 2) * x),1,((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1))) div (2 + 1)) + 1)
A342530-A328706: 1 2 2 3 2 6 2 6 3 6 2 12 2 6 6 9
(loop(\(x,i).(x * 2),x,1) div (((((((if (x - 1) <= 0 then x else loop(\(x,i).(((((i * 2) + 1) * x) * 2) div (i + 2)),(x - 2),1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A034214: 1 1 2 4 5 5 4 2 1 1 0 0 0 0 0 0
loop(\(x,i).(0 - x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),(if ((x + 1) mod ((2 + 2) * 2)) <= 0 then 2 else 1))
A307428: 1 ~1 ~1 1 ~1 1 ~1 ~2 1 1 ~1 ~1 ~1 1 1 2
(loop(\(x,i).(if x <= 0 then 1 else ((x mod ((2 + 2) + 1)) + (x div (2 + 1)))),((x mod (2 + 1)) + 1),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) mod (2 + 1))
A089679: 2 2 1 1 2 2 1 0 1 1 1 2 2 1 1 2
(compr(\x.((((((1 - (loop(\(x,i).(x * x),2,((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) mod (x + 1))) * (x + 1)) div 2) + 1) div 2) - 1),x) + 1)
A116998: 1 2 3 4 5 6 10 12 14 15 18 20 21 22 24 26
(compr(\x.(1 - (((((loop(\(x,i).(x * 2),x,loop(\(x,i).(((if (i mod (2 + 1)) <= 0 then 1 else 2) + x) + (x * 2)),x,1)) - 1) * (x + 1)) div (2 + 1)) + 1) mod (2 + 1))),x) + 1)
A050078: 1 2 3 4 6 8 9 10 11 12 14 17 18 20 21 22
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x + 1),loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) div 2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1))
A332151: 1 515 55155 5551555 555515555 55555155555 5555551555555 555555515555555 55555555155555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((((x + 1) div (((((if (x mod (2 + 1)) <= 0 then ((if (x mod 2) <= 0 then ((if x <= 0 then 0 else 2) + 2) else 1) * 2) else 1) - (x mod 2)) + 1) * (2 + 1)) - 1)) + 1) div 2) + 1) div 2)
A191225: 0 1 0 0 1 1 0 1 1 1 1 2 0 2 1 1
(if x <= 0 then 1 else ((((((x mod ((loop(\(x,i).((x + 1) * 2),(loop(\(x,i).(x - ((x * x) * (2 + 1))),2,2) mod (x + 1)),1) mod (x + 1)) + 1)) div 2) + 1) div 2) + 1) * 2))
A260123: 1 2 2 2 2 2 4 2 4 2 4 2 2 4 4 2
loop(\(x,i).(x * x),1,(if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,((((((x * 2) + 1) mod ((x div (2 + 2)) + 2)) div 2) * 2) + 1)) - 1) mod (x + 1)) div 2) + 1) * 2)))
A278254: 1 4 4 16 4 36 4 64 16 36 4 144 4 36 36 256
((if x <= 0 then 1 else ((((((((((((loop(\(x,i).(if (x - 2) <= 0 then i else (x * 2)),x,1) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) div ((x + 1) * 2))
A251766: 0 1 0 0 0 0 0 0 0 0 1 2 3 6 12 24
((loop(\(x,i).(((((2 + 2) + 1) * x) * 2) + 1),(x + 1),loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),x,0)) div 2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2))
A332152: 2 525 55255 5552555 555525555 55555255555 5555552555555 555555525555555 55555555255555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).((((2 + 2) + 1) * x) * (((2 + 1) * 2) + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165856: 1 35 35 1225 35 1225 35 42875 1225 1225 35 42875 35 1225 1225 1500625
loop(\(x,i).((((2 + 2) + 1) * x) * (((2 + 2) * 2) + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165866: 1 45 45 2025 45 2025 45 91125 2025 2025 45 91125 45 2025 2025 4100625
loop(\(x,i).(((((2 + 2) * (2 + 1)) + 1) * x) * (2 + 1)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165860: 1 39 39 1521 39 1521 39 59319 1521 1521 39 59319 39 1521 1521 2313441
loop(\(x,i).(x - (((x - (((x * 2) * 2) * 2)) * 2) * 2)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165850: 1 29 29 841 29 841 29 24389 841 841 29 24389 29 841 841 707281
loop(\(x,i).(((((2 + 2) * (2 + 1)) - 1) * x) * (2 + 2)),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165865: 1 44 44 1936 44 1936 44 85184 1936 1936 44 85184 44 1936 1936 3748096
loop(\(x,i).((((((2 + 2) * 2) * (2 + 1)) - 1) * x) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165867: 1 46 46 2116 46 2116 46 97336 2116 2116 46 97336 46 2116 2116 4477456
loop(\(x,i).(((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165858: 1 37 37 1369 37 1369 37 50653 1369 1369 37 50653 37 1369 1369 1874161
loop(\(x,i).((((((2 + 2) * 2) * 2) * (2 + 1)) - 1) * x),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1)
A165868: 1 47 47 2209 47 2209 47 103823 2209 2209 47 103823 47 2209 2209 4879681
((x div ((x mod ((x mod ((((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) + loop(\(x,i).((x * 2) * 2),x,1)) + 1) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A332883-A017666: 1 2 3 4 5 1 7 8 9 5 11 3 13 7 5 16
((2 + 1) mod ((if x <= 0 then 0 else (((((((x div (((x div 2) mod ((if (x mod 2) <= 0 then ((2 + 1) * 2) else 1) + 1)) + 1)) + 2) * 2) div (2 + 1)) + 1) mod (2 + 1)) + 1)) + 1))
A304326: 0 1 1 1 1 3 1 0 1 3 1 3 1 3 3 0
(((((((((loop(\(x,i).(x * 2),x,((if ((x mod (((2 + 1) * 2) + 1)) mod (2 + 1)) <= 0 then 2 else 0) + 1)) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A005793: 1 1 1 2 1 1 2 3 2 1 2 3 1 2 3 4
(x div (((((((loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1)) * (x + 1)) mod (compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) + 2) + x) div (2 + 1)) + 1))
A339210: 0 0 1 1 1 0 2 1 1 0 2 0 2 0 0 1
(((x mod (((((if x <= 0 then 0 else (compr(\x.((((loop(\(x,i).(1 - (x * x)),2,((x * 2) * 2)) * x) + 1) mod (x + 1)) - 1),x) + 1)) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1)
A030336: 1 1 2 1 1 1 1 2 1 1 1 1 3 2 2 1
((if x <= 0 then 1 else (((((((((((x + 1) mod ((((if (x mod 2) <= 0 then x else 2) + x) mod (2 + 1)) + 1)) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) mod (2 + 1))
A301366: 1 1 1 1 0 1 1 1 2 2 1 0 0 0 1 1
(((((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) + (x div ((2 + 2) + 1))) * 2) div (2 + 1))
A070956: 0 1 1 2 1 3 2 3 2 3 2 5 2 4 4 5
((((((((((if x <= 0 then 2 else (((loop(\(x,i).((i * x) - (((x mod 2) * 2) - 1)),(x - 2),1) + x) div (2 + 1)) + 1)) div 2) + x) div 2) + x) div 2) + 1) + x) div 2) + 1)
A085904: 1 2 3 4 5 6 7 8 14 48
(compr(\x.((x mod (((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),(((x mod 2) * 2) + 1),(x - 1)) + 1) mod (2 + 1)) - 1) mod (x + 1)) + 1)) - 1),x) + 1)
A026168: 1 2 3 5 6 9 11 12 14 15 18 21 23 24 27 29
loop(\(x,i).(((x * 2) * (2 + 1)) - (((((if x <= 0 then 1 else (((((x mod 2) + x) + 1) div ((2 + 2) + 1)) + ((x * 2) * (2 + 1)))) + 2) * 2) div (2 + 1)) - 1)),x,1)
A059633: 1 2 4 7 13 24 45 84 157 293 547 1021 1906 3558 6642 12399
(compr(\x.(x - ((((((if x <= 0 then 1 else (((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * 2)) + x) + 2) * 2) div (2 + 1)) - 1)),x) + 1)
A337800: 1 2 3 4 5 6 8 9 10 12 16 18 20 24 25 27
(compr(\x.(loop(\(x,i).(((((((((loop(\(x,i).(x * x),2,(2 + 1)) * (x + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) * 2) * 2) * 2) * (2 + 1)),2,x) mod (x + 1)),x) + 1)
A097755: 1 2 3 4 6 8 9 12 16 18 21 24 27 32 36 42
(((((loop(\(x,i).(x * x),1,((((((((loop(\(x,i).(x * 2),(x - ((2 + 2) * 2)),1) div 2) + 1) div 2) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2) div 2) + 1) div 2)
A144557: 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 18
((2 + 1) - ((((if x <= 0 then 2 else ((((if (2 - x) <= 0 then (1 - (((x mod ((((x + 1) div 2) div 2) + 1)) mod 2) * 2)) else 0) + 1) * 2) + 1)) + 1) mod ((2 + 2) + 1)) - 2))
A093779: 2 1 4 3 4 3 4 3 4 4 3 3 4 3 4 4
((loop(\(x,i).(x * 2),(if (x mod 2) <= 0 then ((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) - (x mod 2)) + 1) else 1),1) div 2) div 2)
A218881: 0 0 0 0 1 0 0 0 2 0 0 0 64 0 0 0
((((((if (((loop(\(x,i).((x * 2) * 2),x,(2 - (((x + 1) * 2) mod ((2 + 2) + 1)))) div (2 + 1)) + 2) div (2 + 1)) <= 0 then 1 else 2) * 2) * 2) div (x + 1)) + 2) + 2)
A121948: 8 6 6 5 5 4 4 5 4 4 4 4 4 4 4 4
(((((((((((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + x) + 2) div (2 + 1)) + 1) + x) * 2) + 1) mod (x + 1)) div 2) div 2) + 1) - (x mod 2))
A319820-A319819-A319818-A319817-A319799: 1 0 1 0 1 1 1 1 1 2 2 2 2 2 4 3
(((((((((((if x <= 0 then 2 else (((if x <= 0 then 1 else ((2 div ((x mod 2) - 2)) + ((x * 2) * 2))) * 2) - 1)) + x) * (x + 1)) div 2) + 1) div 2) * 2) + 1) + x) + x) - 2)
A298041: 1 5 25 49 89 129 189 245
compr(\x.(((x + 1) mod ((((((((loop(\(x,i).(loop(\(x,i).(x div (2 - (x mod 2))),x,x) + 1),2,x) mod (x + 1)) + 2) * x) + 1) div (x + 1)) mod (2 + 1)) * 2) + 1)) mod 2),x)
A175413: 1 2 3 4 6 7 8 11 12 13 14 15 16 19 23 24
(if (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) <= 0 then (((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * (2 + 1)) + 1) else 1)
A131844: 1 4 4 7 1 7 10 1 1 10 13 1 1 1 13 16
(((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * (((2 + 1) * 2) + 1)) + 1) div (2 + 1)) + 1)
A162747-A162745-A001263: 1 1 1 1 3 1 1 6 6 1 1 10 20 10 1 1
(((((loop(\(x,i).(x * 2),((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2),1) - (x mod 2)) div (2 + 1)) + 1) div (2 + 1)) + 1)
A299321: 1 1 1 1 1 1 1 1 1 1 1 2 15 2 1 1
((x + 2) div (((((((x div ((x mod (((((if ((x - 1) mod (2 + 1)) <= 0 then 1 else x) - (x mod 2)) + 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A218993: 2 3 2 5 3 7 2 3 2 11 4 13 2 5 2 17
((x + 1) mod ((((((((((((loop(\(x,i).(x * x),1,((((2 + 2) + 1) * x) + 1)) div (2 + 1)) div 2) + 1) div 2) * 2) + 1) + x) div 2) * 2) + 1) mod (x + 1)) + 1))
A160826: 0 0 0 0 0 0 0 0 1 2 5 4 3 0 0 0
((x + 1) div ((((if (x mod (2 + 1)) <= 0 then 0 else ((((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) + 1)) + 1) * 2) + 1))
A263390: 0 0 0 1 0 1 2 0 1 3 2 0 4 1 3 5
(((loop(\(x,i).(((x - ((1 - x) div (2 + 1))) + (2 + 1)) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) div 2) + 1)
A034801: 1 1 1 1 3 1 1 8 8 1 1 21 56 21 1 1
(((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) div ((2 - ((x div 2) mod 2)) + 2)) + 1)
A331572: 1 1 1 1 1 1 1 2 1 1 1 4 7 3 1 1
((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 2)) + 1) div 2) * (x div ((2 + 2) + 1)))
A282377-A281936: 0 0 0 0 0 0 0 1 1 0 0 6 20 6 0 0
((((((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) * 2) + 1) mod (x + 1)) mod (2 + 1))
A193347: 0 1 1 0 1 2 1 2 0 2 1 2 1 2 2 0
(((((if x <= 0 then 0 else (((x div ((x div (((x mod (((2 - (x mod (2 + 2))) mod (x + 1)) + 1)) div 2) + 1)) + 2)) + (x mod 2)) + 1)) * 2) + 1) + (x mod 2)) mod (2 + 1))
A197881: 1 0 0 2 0 0 0 1 2 0 0 0 0 0 0 1
(((((((1 - (x mod (((if (x mod 2) <= 0 then (x div 2) else (((x + 1) * 2) * (2 + 1))) mod (((2 + 1) * 2) + 1)) + 1))) mod (x + 1)) * 2) + 1) + x) + x) mod (2 + 1))
A165414: 1 0 1 2 0 2 1 2 1 0 1 0 1 2 1 2
(2 div (((((x + 1) mod ((((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2) + 1)) + 1) - (x mod 2)) + 1))
A330733: 1 0 1 0 0 1 0 1 0 2 0 0 0 0 1 0
(((if x <= 0 then 0 else (((((((x div ((x mod ((x div (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2)
A007895: 0 1 1 1 2 1 2 2 1 2 2 2 3 1 2 2
((((if x <= 0 then 2 else (((((((x div ((((((x div (2 - (x mod 2))) + 1) mod (2 + 1)) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) div 2) + 1) div 2)
A333179: 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 2
((((((((((((if x <= 0 then 1 else (((x mod ((x div 2) + 1)) div 2) * 2)) * (x + 1)) div ((2 + 2) + 1)) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) div 2)
A124789: 1 0 1 0 1 1 1 1 1 2 2 2 2 3 4 4
(x div (((((((((x mod ((((x div ((if ((x + 1) mod ((2 + 2) + 1)) <= 0 then 0 else 2) + 2)) + 1) - (x mod 2)) + 1)) + 1) * 2) - 1) - (x mod 2)) + 1) div 2) + 1) * 2))
A235330: 0 0 0 1 1 1 1 1 2 0 1 1 1 3 1 1
(((((loop(\(x,i).(x * x),1,(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) - 1)) * ((2 + 2) + 1)) div 2) div 2) + 1) div 2)
A180959: 1 1 1 1 3 1 1 6 6 1 1 10 23 10 1 1
(((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) mod (((((2 + 2) + 1) * 2) * 2) + 1)) * 2)
A230910: 0 0 0 0 2 0 0 8 8 0 0 26 38 26 0 0
(((((((((x + 1) mod (((((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 0 else 2) * 2) - 1) mod (x + 1)) + 2)) div 2) + 1) * 2) div (2 + 1)) + 1) mod (x + 1)) div 2)
A179229: 0 0 0 1 0 0 1 2 1 0 0 1 1 1 0 3
(((((((((((((loop(\(x,i).(((i * 2) - 1) * x),x,(0 - 2)) mod (x + 1)) * 2) + 1) * (x mod 2)) + 2) * 2) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A094756: 2 4 2 7 2 4 2 7 2 4 2 16 2 4 2 7
((((((1 - ((loop(\(x,i).((x + 1) * 2),x,((((x div (((2 + 1) * 2) + 1)) * 2) * 2) * (2 + 1))) mod ((2 + 2) + 1)) div 2)) * (2 + 1)) div 2) + 2) + 2) + 2)
A276792: 7 6 7 4 7 6 7 7 6 7 4 7 6 7 6 7
(((((((((if x <= 0 then 1 else (((((((x * 2) - ((x + 2) mod (2 + 2))) div (2 + 1)) + x) div 2) + (x * 2)) * 2)) + x) + x) + 2) div (2 + 1)) + x) + 2) + x) - 2)
A313031: 1 4 9 14 18 22 28 32 36 41 46 50 54 59 64 68
(((((((x - (((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x div 2) mod 2) - x) div (2 + 1))) * 2)) + 2) * 2) div (2 + 1)) - 1)) + x) + x) + x) + 2) + x) + x)
A128622: 1 1 2 3 2 3 3 4 3 4 5 4 5 4 5 5
(((((((x mod (((((((((x + 2) * x) div 2) mod ((((x div 2) + 1) div (2 + 1)) + 1)) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) div 2) + 1)
A322286-A282934-A248641: 1 1 1 2 1 1 2 1 1 1 2 2 2 3 1 1
(2 div ((((((((((((x + 2) * x) mod ((((x div ((2 + 2) * 2)) + 2) * 2) + 1)) + 1) div 2) + 1) div 2) + 1) * 2) - (x div (((2 + 1) * 2) + 1))) div 2) + 1))
A178687: 1 0 0 1 0 1 0 1 1 1 1 1 2 0 2 1
((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2) * 2) * 2) div (2 + 1)) * ((2 + 2) + 1)) div 2) * 2) + 1)
A296974-A296039: 1 1 1 1 5 1 1 11 11 1 1 21 31 21 1 1
((((((x + 1) div (((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2))) * ((2 + 2) + 1)) div 2) div 2) - 1)
A322838: 0 0 0 0 1 0 2 0 1 1 5 0 6 2 2 0
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * ((x div (2 + 2)) + 1)) div 2) + 1) * (2 + 1)) div 2) div 2) + 1)
A093541: 1 1 1 1 2 1 1 3 4 1 1 4 12 6 1 1
(((((((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2)) * (2 + 1)) div 2) div 2) + 1) mod (2 + 2)) - 1)
A299202: 0 1 1 ~1 1 ~1 1 0 ~1 ~1 1 2 1 ~1 ~1 ~1
(2 - (((((x mod (((2 + 2) * 2) + 1)) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1) mod ((2 + 2) + 1)))
A279006: 1 1 1 1 0 1 1 ~1 1 1 1 ~2 2 0 1 1
((compr(\x.((x mod (2 + 2)) * (x div (2 + 1))),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) * ((2 + 2) + 1)) div (2 + 1))
A189610: 1 1 1 1 3 1 1 6 6 1 1 13 20 13 1 1
(((((((((((((x + 1) div (((x mod (2 + 1)) + 1) * ((2 + 2) + 1))) + 2) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 2) mod ((2 + 2) + 1)) mod (2 + 1))
A277937: 0 1 1 0 1 2 0 0 1 2 2 1 0 1 0 0
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * 2) div (2 + 1))
A143979: 0 1 1 2 2 2 2 4 4 2 3 5 6 5 3 4
(compr(\x.(1 - ((((((((((((x div (2 + 2)) + x) * (2 + 1)) - (x mod 2)) * (2 + 1)) div (((2 + 1) * 2) + 1)) + x) div 2) + x) + 2) * 2) mod (2 + 1))),x) + 1)
A285279: 1 4 5 6 8 9 10 12 13 14 16 17 18 19 22 23
compr(\x.((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (1 - (x div (((1 - x) div (2 + 1)) - 1)))) + 1) * 2) + 1) mod (2 + 1)) - 1),(x + 1))
A141820: 1 2 3 4 5 6 8 9 10 12 14 15 16 18 21 24
compr(\x.(1 - ((((((x div ((x mod (((1 - (((x * 2) - 1) mod (((x div (2 + 2)) + 2) + 2))) mod (2 + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))),(x + 1))
A249053: 1 2 4 5 6 8 11 12 13 14 17 18 20 23 24 25
(((((((((x - (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * x) + 1) mod (2 + 1)))) mod (x + 1)) + 2) div 2) div 2) + 1) div 2) + 1) * 2)
A060267: 2 2 4 4 2 4 4 2 4 4 6 6 6 2 6 6
(((((((((((((((x + 2) * 2) - ((2 - x) div ((x div (2 + 2)) + 2))) * 2) div (2 + 1)) + 1) * 2) + (2 + 1)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2)
A193622: 1 2 3 5 7 10
A225645: 1 2 3 5 7 10 13 16 19 23 27 32 37 43 48 53
(((((((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) * (x + 1)) div 2) div 2) div 2) div 2) + 1) * (((2 + 2) * 2) + 1)) div 2) div 2) + 1) div 2)
A065177-A064044: 1 0 1 0 1 1 0 2 2 1 0 3 6 3 1 0
(x - (((((x * 2) * (2 + 1)) mod (compr(\x.((((x + 1) div (((x mod (((x mod (2 + 2)) + 1) * (2 + 1))) * 2) + 1)) mod 2) - (x mod 2)),x) + 1)) div (2 + 1)) * 2))
A163530: 0 1 2 3 2 1 2 3 4 5 6 7 6 5 4 3
(((((((((2 + 1) * 2) + 1) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2)
A183374: 1 1 1 1 4 1 1 4 4 1 1 9 6 9 1 1
(((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) * ((((x mod 2) * 2) * 2) + 1)) div ((x + 2) + 2)) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2)
A103524: 1 0 1 0 1 1 0 1 1 1 0 4 1 1 1 0
((((((((((((((((((x * 2) * (2 + 1)) div (x + 1)) + x) * (2 + 1)) div 2) + x) + 2) * 2) div (2 + 1)) + x) + 2) + x) * 2) div (2 + 1)) + x) + 1) + 2)
A275537: 5 10 14 18 21 25 29 32 35 39 42 46 49 53 56 60
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) + 2) * (2 + 1)) mod ((2 + 2) + 1)) * 2) + 1) mod (x + 1)) div 2)
A140885: 0 0 0 1 2 1 1 2 2 1 1 0 2 0 1 1
((((((((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) + 1) * (x mod 2)) * 2) + 1) * (2 + 1)) div 2) * (((2 + 1) * 2) + 1)) + 2) + 2)
A059134: 11 32 11 53 11 32 11 74 11 32 11 53 11 32 11 95
(((((compr(\x.(1 - (x mod ((((x mod ((((((x + 1) * 2) mod (((2 + 2) * 2) + 1)) + 2) * 2) + 1)) + 1) mod (x + 1)) + 1))),x) + 1) + (x * 2)) + 2) + 2) div 2)
A184113: 6 8 11 12 14 16 18 20 21 23 24 26 27 29 31 32
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x div 2) + 1) div 2) * (2 + 1)) + 1)) div 2) + 1) mod ((2 + 2) * 2))
A204181: 1 1 1 1 3 1 1 0 0 1 1 0 5 0 1 1
((((((((((((((((((x div ((x mod 2) + 2)) + 1) div 2) + 1) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x div 2))
A122433: 1 2 1 1 1 1 0 0 0 1 0 0 0 ~1 1 0
(((((((((((((((((((x * 2) mod ((x div (2 + 1)) + 2)) mod 2) + 1) * (x + 1)) div 2) + 1) div 2) * 2) + 1) + x) div 2) * 2) + 1) + x) div 2) div 2) + 1) + x)
A225647: 1 3 4 6 7
A341292: 1 3 4 6 7 10 11 13 14 17 17 19 20 23 24 26
compr(\x.(1 - ((1 - ((((((((2 - ((x * 2) mod (((x div (2 + 1)) + 2) + 2))) mod (((x + 2) * 2) + 1)) div 2) + 1) div 2) + 1) * 2) mod (2 + 1))) mod (2 + 1))),x)
A097044: 1 3 4 7 8 9 10 11 13 14 15 16 17 18 19 23
((((((((((((((x * 2) - ((x div 2) div (((0 - 2) - 2) - 1))) * 2) div ((2 + 2) + 1)) + x) + 2) + 2) div 2) * 2) mod (2 + 1)) div 2) + (x * 2)) + 2) + x)
A287409: 2 5 9 12 14 17 21 23 26 30 32 35 39 41 44 47
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1))
A028214: 1 36 820 15120 246736 3721536 53174080 730794240 9758653696 127501710336 1638112752640 20771546664960 260668843872256 3244288806567936 40111449573376000 493276560759521280
loop(\(x,i).((x * 2) * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A075908: 1 60 2240 67200 1779456 43545600 1010606080 22600089600 492077121536 10505429975040 221005133905920 4597756408627200 94837435443183616 1943344895628410880 4611686018427387903
(((if x <= 0 then 1 else (((x div ((x div (((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(if x <= 0 then i else (x div 2)),x,0)) mod (x + 1)) mod (2 + 1)) + 1)) + 2)) + 1) * 2)) + 2) mod (2 + 1))
A093997: 0 1 1 1 0 1 1 0 2 1 1 1 1 2 1 1
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028004: 1 31 633 10787 166481 2416827 33681481 456072739 6046236801 78876961163 1016157547769 12960408919731 163959874019761 2060322716086939 25744836645629097 320169349603453763
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028134: 1 29 543 8401 117383 1545873 19643191 244174337 2994192135 36408715057 440432748119 5310970152033 63918578839207 768370553038481 9230114440859127 110830456328561089
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028078: 1 28 511 7762 107065 1397536 17652307 218558494 2673170269 32451457324 392152259863 4725695939146 56851786048513 683251595827192 8206387016186779 98529159613684918
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028212: 1 35 775 13895 220591 3239495 45114175 605081015 7896440431 100983137255 1271943884575 15837914099735 195494604120271 2397051804927815 29242027752046975 355340314794184055
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028173: 1 31 615 9995 145511 1981731 25867375 328390315 4092662871 50378487731 614988087935 7465359578235 90280175113831 1089001243414531 13113567724769295 157729903649607755
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028176: 1 32 655 10970 164281 2296172 30679075 397562990 5043607261 63029650112 779227037095 9558498208610 116583782365441 1416013883792852 17145682731588715 207132506435751830
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028092: 1 30 583 9360 135373 1838130 23972131 304421700 3797192905 46789978950 571763347519 6946889160120 84072723694597 1014722669092890 12224658793966747 147088107868298220
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028119: 1 28 509 7688 105417 1368660 17211253 212371456 2591003393 31398579212 378973353837 4563240432504 54868960089529 659203880450884 7915910524882661 95029322307819632
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028013: 1 31 629 10595 160965 2293347 31302517 414606643 5373114725 68512221635 862890573909 10764894286419 133300183232581 1640952361357795 20105879474257205 245421711656823923
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028020: 1 33 711 12677 203175 3043341 43527247 602201829 8127414999 107618860349 1403846663583 18094236941781 230951316035623 2924174000253357 36776292351134319 459910668538753733
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((x * 2) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028148: 1 31 617 10079 147609 2022447 26547529 338695423 4238709497 52353238223 640806363561 7794824571807 94411354501465 1140149916014959 13741090450747913 165378493289389631
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028192: 1 34 735 12920 201821 2925054 40302475 535908340 6945496041 88331974874 1107704935415 13744775469360 169190996868661 2070039164549494 25209912745227555 305937712008039980
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028128: 1 31 623 10355 155151 2182251 29453143 386424115 4968644351 62947998971 788663289063 9797059846275 120896875524751 1484089915071691 18142382512443383 221041773758074835
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028162: 1 35 783 14287 231959 3494127 49989031 689059679 9238060887 121247325199 1565149220999 19940086389951 251372353802935 3141956721674351 38999543432154087 481325752085244703
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A026308: 1 30 597 9974 151629 2176086 30060949 404288598 5331243357 69255757142 889174566501 11309336465622 142744102829485 1790283986115798 22334320279686453 277371931128111446
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028103: 1 33 703 12309 192943 2819949 39304711 529663893 6962879935 89838427965 1142617774519 14370723472677 179151734300527 2217730946235981 27298909572676327 334504592037294261
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028052: 1 30 595 9900 149941 2145210 29561815 396813000 5224781881 67791656790 869540915035 11050958595300 139392712421821 1747306114774770 21788203659532255 270484281270892800
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028106: 1 34 745 13390 214981 3211234 45646225 626042230 8359948861 109374928234 1408284704905 17904343620670 225325039105141 2812442423778034 34869043816790785 429934709807000710
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A026542: 1 26 443 6292 81081 986622 11585911 132996344 1504338341 16852487938 187601429379 2079728352156 22993065448081 253755685986374 2797253854490447 30812086837337728
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A028200: 1 30 565 8550 113701 1388310 15958405 175419750 1863406501 19269697590 195034120645 1939826329350 19018419228901 184245490086870 1767124523521285 16805853434269350
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(((2 + 2) + 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A028165: 1 26 425 5590 64701 688506 6906145 66324830 616252901 5580303586 49508360265 432061044870 3720287489101 31681154472266 267320885100785 2238337148081710
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A028132: 1 27 465 6535 81921 956487 10657585 115031895 1214419041 12622599847 129754165905 1323318833655 13420125351361 135548860481607 1365156409213425 13720647130385815
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028137: 1 29 539 8209 111915 1425273 17363443 205288433 2377405019 27135022057 306533078787 3437326558497 38340790470763 426029329661081 4720802257754771 52206070294635601
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028171: 1 29 533 7945 105021 1285809 14944693 167428745 1826266541 19529198689 205738222053 2142884743545 22124707610461 226886218153169 2314414985326613 23511240805642345
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028210: 1 33 685 11445 168301 2275413 28994365 353654565 4172013901 47945991093 539606148445 5970648969285 65146124616301 702577801647573 7503184109388925 79467822863509605
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028000: 1 28 513 7808 107309 1384836 17143081 206182696 2429008197 28183193324 323282753729 3676063130064 41519535153565 466480044231892 5219284450672857 58204869911960312
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028113: 1 26 437 6082 76653 913218 10527349 119017634 1330185725 14766710530 163286454981 1801494203106 19849649018317 218551250986562 2405323875398933 26466271609592098
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028174: 1 30 571 8820 120841 1533210 18457111 213985200 2412703381 26633396790 289205203651 3099825799980 32880061861921 345809114026770 3611607266342191 37500386320109160
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028002: 1 29 551 8701 124047 1659525 21274807 264643037 3219794303 38520062581 454834639623 5314864742733 61583614410319 708640371952997 8107367772115799 92304987577062589
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028076: 1 26 435 5980 73721 849966 9381535 100546160 1055929941 10932713506 112061907035 1140487891140 11548313690161 116513300146646 1172500867726935 11777524096712920
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + (x * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028081: 1 28 507 7574 101801 1283016 15511399 182368858 2103357861 23935475564 269799417251 3020592495102 33653261722081 373625952944272 4137562797943263 45735549657446306
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028151: 1 32 657 11056 166481 2339904 31427089 409158992 5211577041 65347755616 810110258321 9959365988208 121687051820881 1480042546391168 17940274040148753 216912236044745104
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028063: 1 27 478 7086 95923 1234761 15440896 189849132 2311064965 27967760535 337282318594 4059193972938 48793580278327 586108780927749 7037421345862372 84477944245876104
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028166: 1 27 460 6330 76951 863457 9169210 93598560 928041301 9002652087 85889800360 809002365990 7544820424051 69822238375917 642271794705910 5880216219628620
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028007: 1 28 511 7722 105105 1340976 16393987 194632774 2263422469 25933837644 293957202903 3305777399106 36960914527993 411484609521832 4566596614746859 50561336628369918
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028146: 1 29 535 8025 106911 1320249 15480655 174931625 1923680671 20725530969 219822814575 2303376354825 23907223188031 246285893877689 2522150397345295 25706911853867625
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),(i * 2),1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028180: 1 29 530 7810 101451 1213359 13695340 148146020 1551618101 15847349089 158652680550 1562885008230 15193886293951 146104406183219 1392173613916160 13163974362722440
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028117: 1 26 433 5910 72261 826266 9049993 96336350 1005909421 10365632706 105846730353 1074027489990 10850349799381 109279857370346 1098262533175513 11021021340982830
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028149: 1 30 573 8902 122829 1570422 19052461 222558534 2527254477 28081375894 306750949869 3305552387046 35230183832845 372099762869046 3900761112145197 40636558684412038
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A025995: 1 25 412 5694 71799 859131 9961834 113290048 1272810517 14190510477 157439054136 1741315046562 19221270567955 211903646137663 2334237969260518 25699753556697636
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028090: 1 28 503 7394 96993 1183584 13750411 154260238 1686734885 18091012940 191193729519 1997666285082 20686716623977 212717150997496 2175158274827027 22143785088967526
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028016: 1 30 585 9410 135741 1826910 23449345 290918970 3519263781 41763254390 488289628905 5642683638930 64604625484621 734199837187470 8294002882781265 93241186270173290
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028122: 1 28 505 7500 100161 1254588 15084745 176531500 2028331921 23012251548 258784204185 2892049106700 32177076653281 356869970102908 3948976130302825 43626137399621100
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028190: 1 32 647 10570 152481 2028012 25481947 307098110 3585577061 40841792992 456139166847 5013707912850 54390770364841 583654905773972 6205991828373347 65478677349042790
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (x * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028018: 1 31 625 10395 155001 2155251 28559665 365471515 4555708201 55646962371 668889963105 7936976609835 93190238832601 1084660596151891 12532810309612945 143923263421271355
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + (x * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A028048: 1 27 478 7062 94699 1198209 14603176 173499804 2024524117 23314991271 265875954994 3009351209826 33865370166655 379381897212813 4234967357150332 47140543570858728
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),i,1) + ((x * 2) * 2)),x,1)
A028050: 1 28 515 7910 110241 1448328 18302575 225096970 2713995581 32234230028 378383333835 4400300953230 50784218810521 582435753818128 6644887820416295 75474715560668690
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A028066: 1 27 474 6902 90867 1126545 13446028 156530604 1791797733 20274317063 227558149182 2539586737506 28227640438999 312844584806781 3460030004311536 38210322891344408
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028087: 1 31 625 10435 157081 2218891 30058465 395576995 5099030761 64729573051 812287789105 10103508011155 124806994586041 1533359039348011 18757216238876545 228656612889142915
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028072: 1 30 589 9630 142621 1989510 26692669 348689550 4469016541 56480471190 706312706749 8761344810270 107992670570461 1324480424684070 16179464126208829 197010636086927790
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028095: 1 31 622 10294 153139 2133397 28467664 368853628 4681501957 58545953323 724357095826 8891996242402 108525576595255 1318871068893409 15976717061264308 193081291067943016
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028041: 1 25 410 5630 70551 839775 9697720 109955260 1232712701 13723263125 152103875430 1681194742890 18549572478451 204440573062075 2251614293669540 24787137412192520
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A028057: 1 25 408 5558 68999 813603 9315286 104854096 1168677477 12952000061 143075613044 1577575222314 17376397872835 191281848531799 2104964417048082 23159869359140612
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A028061: 1 25 404 5390 64791 731595 7939714 83955520 872430581 8959286765 91262059824 924426748050 9327520083571 93861018423535 942726158964734 9456149685174980
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + x) + x),x,1)
A028093: 1 29 540 8230 111911 1414839 17015290 197394560 2229204021 24659970049 268405356440 2883764656890 30659268255331 323156832303659 3381832557579990 35179011908571220
((x + 1) - loop(\(x,i).(x - loop(\(x,i).(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)) - 1),1,i)),x,1))
A233524: 0 1 2 4 5 8
A002541: 0 1 2 4 5 8 9 12 14 17 18 23 24 27 30 34
((loop(\(x,i).((x + 1) * x),1,(((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2) + 2) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1))) div (2 + 1)) - 1)
A248955: 1 3 3 5 3 9 3 9 5 9 3 17 3 9 9 13
(if x <= 0 then 0 else (((((loop(\(x,i).(x * 2),(((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)),1) div 2) + 1) * 2) div (2 + 1)) + 1))
A344462: 0 1 1 2 1 3 1 3 2 3 1 7 1 3 3 4
(((((((compr(\x.loop(\(x,i).(2 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,(((x * 2) * 2) - 1))),1,((x * 2) + 1)),x) * 2) + 1) * 2) * 2) + 1) * 2) - 1)
A105126: 41 73 89 137 233 281 313 409 457 521 569 601 617 761 809 857
(if x <= 0 then 1 else (1 - (((loop(\(x,i).(x * 2),(if (x - 2) <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))),1) div 2) + 1) mod (2 + 1))))
A178904: 1 ~1 ~1 0 ~1 0 0 1 1 0 0 ~1 1 ~1 0 0
(loop(\(x,i).((x * 2) + 1),(x - 1),(if x <= 0 then 1 else (((((((((loop(\(x,i).(i * x),(x - 1),(x + 1)) * (x - 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2))) div (2 + 1))
A280006: 0 0 1 6 39 399
(((loop(\(x,i).(loop(\(x,i).((((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)) * 2) * 2),1,i) + x),x,0) div 2) + 1) + 2)
A123567: 3 5 7 11 13 17 19 25 29 33 35 41 43 47 51 59
(if (x * 2) <= 0 then x else (if x <= 0 then 1 else (((((((((((((loop(\(x,i).((x * 2) - ((i - 1) div 2)),x,1) + x) + 2) + 2) + x) * x) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2)))
A000937: 0 4 6 8 14 26 48 96
(((((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),1)) mod (x + 1)) + x) div 2) + 1) div 2)
A113757: 0 0 1 1 2 2 2 2 3 4 4 4 4 4 6 4
(loop(\(x,i).(((loop(\(x,i).((((2 + 2) + 1) * x) + 2),(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2),2) * ((2 + 2) + 1)) * 2) - 1),1,((x * x) + 1)) + 2)
A181285: 3121 78121 30517578121 4611686018427387903 4611686018427387903
((if x <= 0 then 1 else ((((((x mod ((loop(\(x,i).((x + 1) * 2),(loop(\(x,i).(x - ((x * x) * (2 + 1))),2,2) mod (x + 1)),1) mod (x + 1)) + 1)) div 2) + 1) div 2) + 1) * 2)) * 2)
A260085: 2 4 4 4 4 4 8 4 8 4 8 4 4 8 8 4
(((loop(\(x,i).(((x + 1) * 2) * ((2 + 2) + 1)),((x * 2) + 1),0) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2)) div 2) + loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,2))
A332158: 8 585 55855 5558555 555585555 55555855555 5555558555555 555555585555555 55555555855555555 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((x + 1) mod ((((if x <= 0 then 0 else (((x - ((((x div ((x mod ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 1)) + 1) mod (x + 1)) - 1)) div 2) + 1)) + 1) * 2) - 1))
A140523: 0 2 3 4 5 1 7 8 9 3 11 1 13 5 2 16
((((((((x div ((x mod ((loop(\(x,i).((x + 2) * x),1,(loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1))) mod (x + 1)) + 1)) + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1)
A336472: 1 1 2 1 3 2 4 1 3 3 5 2 6 4 7 1
((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) div 2) + 1) * 2) div (2 + 1)) * 2) + 1) div (2 + 1))
A057165: 0 1 2 3 5 6 7 9 11 13 15 17 18 19 21 24
((loop(\(x,i).((x + 1) * 2),1,(x div ((x div ((loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1) mod (((2 + 2) * 2) + 1)) + 1)) + 2))) mod (x + 1)) mod (2 + 1))
A237348: 0 0 1 0 1 0 1 0 1 1 0 2 2 2 2 2
((((((((((if x <= 0 then 0 else (((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 2)) + 2) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1) * 2) div (2 + 1))
A252505: 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 4
(((((((((((((loop(\(x,i).(((2 + 1) * x) + 1),x,0) - loop(\(x,i).((2 + 1) * x),(x div 2),1)) div 2) + 1) div 2) + x) div 2) + x) div 2) + 1) div 2) + 1) * 2) mod (2 + 1))
A306863: 2 2 1 0 2 0 1 2 1 0 1 0 2 0 1 2
(compr(\x.((loop(\(x,i).(((x * 2) * 2) * 2),((x div ((x div (((((x + 2) * x) div 2) mod (((x mod 2) + 2) + 1)) + 1)) + 2)) + (if x <= 0 then 0 else 1)),1) div (x + 1)) - 1),x) + 1)
A322271: 1 5 7 11 13 17 19 23
A067291: 1 5 7 11 13 17 19 23 25 29 31 33 34 35 37 38
(((((((((if x <= 0 then 1 else (((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * 2)) * 2) - 1) div 2) * (2 + 1)) div 2) * 2) - 1) div (x + 1))
A280827: ~1 0 0 1 0 1 0 2 1 0 0 1 0 0 0 2
(((loop(\(x,i).((x * 2) * 2),((loop(\(x,i).((((((2 + 2) * 2) * 2) + 1) * x) * 2),2,((x * 2) + 1)) + 1) mod (x + 1)),x) * (((2 + 1) * x) + 2)) + 1) mod (x + 1))
A337224: 0 1 2 1 2 5 2 1 2 5 2 5 4 5 2 1
(((x * 2) + 1) div (if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1)) - (x mod 2)) mod (x + 1)) div 2) + 1) * 2)))
A345046: 1 1 2 1 4 2 6 1 4 4 10 2 12 6 4 1
((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,(loop(\(x,i).((x - i) * 2),x,2) mod (x + 1))) mod (x + 1)),x) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) mod (x + 1)) div 2)
A240866: 0 0 0 0 0 0 1 0 2 1 3 2 4 3 5 6
(((((((if x <= 0 then 1 else ((((((((if x <= 0 then 2 else ((((2 - (x mod 2)) * 2) + x) + 2)) + 2) + 2) * 2) div (2 + 1)) - 1) + x) + 2)) + 2) + 2) + 2) * (x + 1)) div 2) - 2)
A029756: 1 12 23 32 48
(((((((((((((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) div 2) div 2) div 2) div 2) + 1) div 2) div 2) + 2) + 2) + 2) + x) * 2) + 2)
A053425: 14 16 18 22 26 28 34 38 46 58
((((((((((((compr(\x.loop(\(x,i).(x - (if (x mod ((i * 2) + 1)) <= 0 then 2 else 1)),x,(x + 2)),x) * ((2 + 2) + 1)) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) + x) + x)
A134445: 8 14 23 28 34 42 49
(loop(\(x,i).((((((((x div 2) mod 2) + 1) * 2) * (x div (2 + 1))) div 2) - 2) - 1),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) + 1)
A177227: 2 2 2 2 ~2 2 2 ~3 ~3 2 2 ~4 ~6 ~4 2 2
((if x <= 0 then 0 else ((((((((((((1 - ((x mod 2) - (((x div (2 + 1)) mod 2) * (2 + 1)))) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A338687-A338686: 1 2 2 3 3 3 3 2 3 4 4 4 3 2 3 4
(((x + 1) div ((((if (x mod (2 + 1)) <= 0 then 0 else ((((((x * x) div 2) - 1) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * 2) + 1)) + 1) * 2) + 1)) + 1)
A163491: 1 1 1 2 1 2 3 1 2 4 3 1 5 2 4 6
loop(\(x,i).((x * 2) * 2),((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1) * (2 + 1)) div 2) div 2) - 1),1)
A173778: 1 1 1 1 1 1 1 16 16 1 1 16 256 16 1 1
((((if x <= 0 then 0 else (((((((x div ((x mod ((x div (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2) + 1)
A143299: 1 2 2 2 3 2 3 3 2 3 3 3 4 2 3 3
(((((((((if (x mod (2 + 1)) <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) * (x + 2)) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A108461: 1 1 1 1 2 1 2 2 2 2 1 4 2 4 1 2
((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div ((2 + 2) + 1)) + (x div ((2 + 2) + 1))) div 2) + 1)
A215959: 1 1 1 1 1 1 1 2 2 1 2 4 10 4 2 2
((((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * (((2 + 1) * 2) + 1)) + 1) div (2 + 1)) * 2) + 1)
A132787: 1 1 1 1 5 1 1 11 11 1 1 19 39 19 1 1
((((((((((((((((loop(\(x,i).((i + x) * x),2,(2 + 2)) + 1) * (x + 1)) + 1) * 2) * (2 + 1)) * (2 + 1)) * 2) + 1) * 2) * 2) - 1) * 2) - 1) * 2) * 2) - 1)
A076337: 509203
((x + 2) div (((((((((if (x mod (2 + 1)) <= 0 then 1 else (((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2))) + (x mod 2)) * 2) - 1) mod (x + 1)) + 2) div 2) * 2) + 1))
A277692: 0 1 1 1 2 1 2 1 3 2 2 1 4 1 2 3
(((((((x + 1) div ((((((((if x <= 0 then 0 else ((((x + 1) div ((x mod 2) + 2)) div 2) + 1)) + 1) * 2) + 1) mod (x + 1)) div 2) * 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A264744: 1 1 1 2 1 2 3 1 4 1 1 1 1
(((((loop(\(x,i).(((x mod ((2 + 2) + 1)) + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) + 1) * 2) * 2) - (2 + 1))
A143007: 1 1 1 1 5 1 1 13 13 1 1 25 73 25 1 1
(((((((((loop(\(x,i).((((2 + 2) * (2 + 1)) + 1) * x),x,1) mod (((((2 + 2) * 2) * 2) * 2) - 1)) - 1) mod (x + 1)) + 1) * (x + 1)) div 2) + 2) * 2) mod (2 + 1))
A255318: 1 0 1 1 1 1 0 1 0 1 1 1 0 2 1 0
(((((((((((if x <= 0 then 1 else ((((((((x * x) div ((2 + 2) * 2)) mod 2) * 2) + x) div 2) + x) * 2)) + x) + x) * 2) div (2 + 1)) + x) + x) + x) + 2) * 2) mod (2 + 1))
A122856: 1 2 1 0 0 2 2 0 2 2 1 0 0 2 0 0
loop(\(x,i).(x * 2),(((((((((((((((((x + 2) * x) div (2 + 2)) + (x * 2)) * 2) div (2 + 1)) + x) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + x) div 2),1)
A222011: 1 2 4 8
A074700: 1 2 4 8 16 64 256 1024 8192 131072 1048576
(x - (((if x <= 0 then 0 else (((((((x div ((x mod ((x div (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2))
A219641: 0 0 1 2 2 4 4 5 7 7 8 9 9 12 12 13
((x - 1) mod ((((((((((((((((loop(\(x,i).(((x mod (i + 1)) * 2) + 1),x,1) * 2) + 1) * x) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2))
A332845: 1 0 1 2 3 0 5 6 7 0 9 2 11 0 3 14
(((((((x mod (((((((if x <= 0 then 0 else ((((x * 2) mod ((x div (2 + 1)) + 2)) mod 2) + 1)) + 1) + (x mod 2)) * 2) + 1) mod (x + 1)) + 2)) + 1) div 2) + 1) div 2) + 1) div 2)
A258045: 0 1 1 1 0 0 1 1 1 2 1 1 1 1 0 1
((((((((((((((((((if (x mod 2) <= 0 then 2 else x) + x) div 2) * x) div 2) + 1) div (2 + 1)) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) div 2)
A029209: 1 0 1 0 1 1 1 1 1 2 2 3 2 3 3 4
((((((((loop(\(x,i).(i * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * (2 + 1)) div 2) + 1) div 2) + 1) * (2 + 1)) - 2)
A172347: 1 1 1 1 1 1 1 4 4 1 1 7 28 7 1 1
((((((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * 2) + 1) div (2 + 1)) * (2 + 1)) div 2) * 2) * 2)
A203285: 0 0 0 0 4 0 0 4 4 0 0 16 28 16 0 0
(((((((((((loop(\(x,i).((((((x div 2) + x) div (2 + 2)) * 2) + x) + 1),((x + 1) div 2),1) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) div 2) div 2)
A034394: 0 0 0 0 0 1 0 1 0 1 1 2 1 3 3 5
(((if x <= 0 then 0 else ((x div ((((((((((((((2 + 2) * 2) * 2) * 2) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) + 1)) + 1)) + 1) - (x mod 2))
A318881: 1 1 2 2 3 2 4 3 4 3 4 3 5 4 6 6
compr(\x.((((((((((((((if x <= 0 then 1 else (((x div (((x div 2) + 2) + 2)) + x) + (2 + 2))) + x) + 2) + 2) + x) div 2) + 2) div 2) + 2) + 2) + x) div 2) + 2) mod (2 + 1)),x)
A190778: 1 4 5 8 11 15 18 21 22 25 28 32 35 39 42 45
((((((((((((((((((if ((x div 2) - 2) <= 0 then 1 else 2) + x) * (2 + 2)) div (2 + 1)) * 2) - 1) + x) * 2) div (2 + 1)) - 1) * x) div 2) div 2) + x) div 2) + x) div 2) + x)
A185595: 0 1 4 6 9 12 16 20 24 28 33 38 43 49 55 60
(((((((0 - 2) mod (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2))) + 1) * 2) - (x div (2 + 1))) div (2 + 1)) + 1)
A216201: 1 1 1 1 2 1 1 3 3 0 0 4 6 3 0 0
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * 2) div (2 + 1)) + 1)
A143997: 1 2 2 3 3 3 3 5 5 3 4 6 7 6 4 5
(((((((((x + 1) div ((x mod ((x div (((x div 2) mod ((x mod (((2 - x) mod (2 + 2)) + 1)) + 1)) + 1)) + 2)) + 1)) div (2 + 1)) + 1) + 1) * 2) * 2) div (2 + 1)) - 1)
A295920: 1 1 1 3 1 1 1 3 3 1 1 1 1 1 1 8
(((x + 2) + 1) div ((x div ((((((((((x div ((x mod ((x mod ((x mod 2) + 2)) + 2)) + 2)) + 1) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) + 1)) + 1))
A187824: 3 4 5 6 3 4 4 5 3 6 4 4 3 5 5 4
((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((((x + 2) div ((((x div 2) mod 2) * 2) + 1)) + 1) div 2) div 2) + 1)) div 2) + 1)
A138028-A009999: 1 1 1 1 2 1 1 3 4 1 1 4 9 8 1 1
(((((((((((((((((2 - x) * (2 + 1)) - 1) mod ((x div 2) + 1)) + 2) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) + (x mod (2 + 1))) div 2) + 1)
A216199: 3 3 5 3 4 5 4 3 5 4 6 5 6 4 5 3
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((x div (2 + 2)) - (x div ((2 + 2) + 1))) + 2)) * (2 + 1)) div 2) div 2) + 1)
A104730: 1 1 1 1 3 1 1 4 5 1 1 5 10 7 1 1
(((((((1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)) * (2 + 1)) - (x div ((2 + 2) + 1))) div 2) + 1) * 2) div (2 + 1))
A216210: 1 1 1 1 2 1 1 3 3 1 0 4 6 4 0 0
((((((((((((((((((x * 2) mod ((x div 2) + 1)) + 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2) div (2 + 1))
A341974: 1 0 1 1 2 1 1 1 2 2 2 2 2 3 3 4
(x - (((((((((((((((((((x div (2 + 2)) + 1) div 2) * 2) + 1) * (x + 2)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * (2 + 1)) div 2) div 2) + 1) * 2) - (2 + 1)))
A076827: 1 2 1 2 3 2 3 4 5 6 5 6 5 6 7 6
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * 2) + 2) div (2 + 1))
A143976: 1 2 2 2 3 2 3 4 4 3 4 6 6 6 4 4
((x - ((((((((((((((2 - ((1 - x) div ((x div (2 + 2)) + 2))) + 2) * 2) + x) div (2 + 1)) + 1) * 2) mod (x + 1)) + 2) + x) div 2) + 2) div 2) * 2)) + (2 + 1))
A030307: 1 2 1 2 3 4 3 2 3 2 3 4 5 4 5 6
((((((((((((x - (((x div 2) - (((x div (2 + 2)) - 1) div 2)) mod 2)) * 2) + 1) - (x mod 2)) + 1) * 2) + 1) div (2 + 1)) + ((x + 1) * 2)) * 2) + x) div (2 + 1))
A190366: 1 3 7 9 12 14 16 19 22 25 26 29 32 34 38 40
((((((((((((((((((2 + 1) * 2) * (2 + 1)) + 1) * x) * (x + 1)) div 2) + 1) div 2) + 2) * 2) * 2) + 1) * (x + 1)) div (2 + 1)) + 1) div (2 + 1)) div (x + 1))
A202821: 1 5 14 26 43 64 89 119 153 191 233 279 330 385 444 507
((((((((((((((((((((x * x) * x) div (x + 2)) * 2) div (2 + 1)) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) * 2) + 1) + x) + x) div (2 + 1)) * 2) - (x - 1))
A123581: 3 6 9 12 15 20 25 30 35 42 49 56 63 70 77 88
((((((((((((x mod (x - ((x mod (((x mod (((2 - x) mod (2 + 2)) + 1)) + 1) * 2)) + 1))) div 2) + 1) + (x mod 2)) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A344174: 0 1 1 1 1 2 1 1 2 2 1 3 1 3 1 2
(((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (x mod (((((((x + 1) div 2) div 2) + 1) div 2) * 2) + 1))) + 1) * (2 + 1)) div 2)
A263950: 1 1 1 1 3 1 1 4 7 1 1 6 13 15 1 1
((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) * ((2 + 2) + 1)) div 2) + 1) * (2 + 1)) div 2)
A124216: 1 1 1 1 4 1 1 9 9 1 1 16 34 16 1 1
(((((((((x div ((((x mod ((x div (((x + 1) mod ((2 + 2) + 1)) + 2)) + 1)) div 2) + 1) + 2)) + 1) div ((x div (2 + 2)) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A337539: 2 2 2 4 2 2 2 2 2 1 2 2 2 2 1 2
((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (((x div 2) mod 2) + 1)) + 1) * (2 + 1)) div 2) * ((2 + 2) + 1)) div 2) div 2)
A116445: 1 1 1 1 3 1 1 3 5 1 1 3 8 7 1 1
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * (2 + 1)) div 2) div 2)
A143998: 0 1 1 2 3 2 3 4 4 3 3 6 6 6 3 4
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((1 - x) mod (2 + 2)) + x)) div 2) + 1) * 2) - 1) * (((2 + 1) * 2) + 1)) - 2) div 2) div 2)
A157170: 1 1 1 1 8 1 1 15 15 1 1 22 46 22 1 1
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + ((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2)) div 2) + 2) * 2) * 2)
A295782: 8 12 12 16 16 16 20 24 24 20 24 28 32 28 24 28
(((((((((((x + 1) div (((((x * 2) * (2 + 1)) + 1) mod (((x div (2 + 2)) + 2) + 2)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) div 2) mod (2 + 2))
A125029: 0 1 1 1 1 2 1 1 1 2 1 2 1 2 2 0
(loop(\(x,i).(x * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (if (x mod 2) <= 0 then (x div 2) else ((loop(\(x,i).(x * x),2,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + x) - 1)))),x,x) + x),1) div 2)
A341509: 0 1 2 1 4 0 2 1 8 0 0 0 4 0 2 1
((loop(\(x,i).(loop(\(x,i).loop(\(x,i).(x * 2),(compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x)),1),1,i) + x),x,1) div 2) + 1)
A086769: 1 3 5 13 15 23 25 33 65 67 99 107 109 117 149 181
(((((((if x <= 0 then 1 else (x - loop(\(x,i).loop(\(x,i).(x - ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)),x,x),1,(x * 2)))) + x) * 2) mod (x + 1)) div 2) div 2) + 1)
A151552: 1 1 1 1 2 2 1 1 2 2 2 3 4 3 1 1
loop(\(x,i).(i * x),((((if ((loop(\(x,i).((1 - loop(\(x,i).((2 + 1) * x),x,loop(\(x,i).((x - 2) * (2 + 1)),x,0))) * x),x,1) * (x + 1)) + 1) <= 0 then x else 2) + 2) * (2 + 1)) - x),1)
A072232: 479001600 39916800 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((2 + 1) * x),i,1) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1))
A001241: 1 50 1660 46760 1217776 30480800 747497920 18139003520 437786795776 10536798272000 253246254177280 6082300519393280 146028165842661376 3505313580591718400 4611686018427387903 4611686018427387903
loop(\(x,i).(((x * 2) * 2) * 2),x,loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(((2 + 1) * x) + 1),i,1) + x) + ((x * 2) * 2)),i,1) + (x * 2)),i,1) + ((x * 2) * 2)),x,1))
A076005: 1 120 8960 537600 28471296 1393459200 64678789120 2892811468800 125971743113216 5378780147220480 226309257119662080 4611686018427387903 4611686018427387903 4611686018427387903
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A227078: 1 9 25 121 32761
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A028100: 1 31 618 10094 147203 1997037 25786636 321380188 3901566405 46429426043 544051398254 6298258575882 72214033934407 821632688021449 9290501272470672 104524684322022776
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * 2)),x,1)
A028127: 1 30 581 9270 132861 1781910 22867141 284524950 3461329421 41398890390 488675095701 5708526430230 66125948101981 760712837896470 8701144748444261 99045775841641110
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),i,1) + x) + ((x * 2) * 2)),x,1)
A028071: 1 29 548 8590 121551 1615119 20584858 254810960 3087662501 36816560209 433529214768 5054413691730 58455083456251 671574295857299 7673016284430278 87260245701154900
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A028084: 1 29 544 8414 116935 1521023 18936478 228705968 2702760709 31433459057 361216744252 4113147855362 46506852459523 522961531303331 5855208956119066 65331927878971796
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (x * 2)),x,1)
A028073: 1 31 630 10670 163691 2363901 32800480 442568140 5850370581 76144382171 979096198730 12468275928810 157530257684671 1977386553510841 24685911967987380 306761026472700680
((if x <= 0 then 1 else (((((loop(\(x,i).((((((loop(\(x,i).((x * 2) * 2),x,2) - loop(\(x,i).((2 + 1) * x),x,1)) div 2) div 2) + 1) div 2) * 2),x,1) div 2) + 1) div 2) + 1) * 2)) + (x + 1))
A333185: 2 6 9 940
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(x * 2),i,1) - (x - (((x * 2) * 2) * (2 + 1)))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)) + x),x,1)
A026149: 1 28 517 7980 111741 1473948 18687397 230431180 2784091981 33121756668 389323047477 4532472142380 52356786665821 600922618820188 6860138634498757 77961474116861580
(if x <= 0 then 1 else (((x * 2) * (2 + 1)) - (if x <= 0 then 1 else (((((((x - (loop(\(x,i).((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + x),2,x) - 1)) * 2) + 1) + x) + x) div (2 + 1)) * 2))))
A315305: 1 6 10 16 20 24 30 34 38 44 48 54 60 64 70 74
(((((((if (x mod 2) <= 0 then ((if (x mod (2 + 2)) <= 0 then (((if x <= 0 then 0 else 2) + 2) * 2) else 1) * (2 + 1)) else 1) * (2 + 1)) + (if x <= 0 then 1 else 2)) + (x mod 2)) + 1) * (2 + 1)) div (2 + 2))
A040766: 28 5 9 5 56 5 9 5 56 5 9 5 56 5 9 5
((x + 1) - (loop(\(x,i).(x * 2),(((((((((loop(\(x,i).(x * 2),x,(if (x mod (2 + 2)) <= 0 then 2 else (x mod 2))) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1),1) - 1))
A075424: 0 1 0 1 4 5 0 1 2 9 4 5 12 13 0 1
((if x <= 0 then 0 else (((((((x div (((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) - loop(\(x,i).((x * 2) * 2),x,1)) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A329612: 1 2 2 3 2 2 2 4 3 4 2 2 2 4 2 5
((if x <= 0 then 2 else ((((if (x - 2) <= 0 then x else (if ((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) <= 0 then (((x div ((2 + 2) + 1)) + 1) * 2) else 1)) + 1) div (2 + 1)) + 1)) div 2)
A304871: 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 2
(((((((((((loop(\(x,i).((i mod 2) + (x * 2)),x,2) div (2 + 1)) + loop(\(x,i).(x * 2),x,1)) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + loop(\(x,i).(x * 2),x,1)) div 2) + 1) div 2)
A164363: 1 1 2 3 6 12 23 46 91 182 364 727 1454 2908 5816 11631
(((((((((((((loop(\(x,i).((2 + 1) * x),x,(2 + 1)) - loop(\(x,i).(x * 2),x,2)) + x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + loop(\(x,i).(x * 2),x,1)) div 2) + 1) div 2)
A279196: 1 1 2 5 13 36 102 295 864
(((if x <= 0 then 1 else ((((((((((loop(\(x,i).(if x <= 0 then 2 else (((x * 2) - (x div (i + 1))) * 2)),x,0) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2) + 1) * 2)) div (x + 1)) div 2)
A192225: 0 1 2 5
A058495: 0 1 2 5 15 47 149 489
(((loop(\(x,i).(x * x),1,((if x <= 0 then (2 + 2) else (((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(2 + 1)) + 1) div (x + 1)) + 2)) * (2 + 1))) * (2 + 1)) - 1) + (x * 2))
A179173: 431 9748
((((((((((loop(\(x,i).(x * 2),x,(2 - (if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1))) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2))
A112329: 1 0 2 1 2 0 2 2 3 0 2 2 2 0 4 3
((if x <= 0 then 0 else ((((((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * (((2 + 2) * 2) + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1)
A294337: 1 2 2 4 2 4 2 6 4 4 2 7 2 4 4 10
((((loop(\(x,i).(((((((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,(2 + 2)) - 1) * 2) * (2 + 1)) - 1) div 2) * (2 + 1)) + 2),x,1) + 2) * 2) * ((2 + 2) + 1)) + 1)
A177465: 31 3881 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903 4611686018427387903
((((if x <= 0 then 0 else (((((((x div ((((if (x mod ((((x div 2) div (2 + 1)) + 2) + 1)) <= 0 then 1 else 0) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2) + 1)
A329614-A071187: 1 2 2 3 2 2 2 2 3 2 2 2 2 2 2 5
loop(\(x,i).i,(((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * (((2 + 1) * 2) + 1)) + 1) div (2 + 1)) * 2),1)
A174043: 1 1 1 1 4 1 1 10 10 1 1 18 38 18 1 1
((((x + 1) div 2) div (((2 - (x mod (1 - (loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),2) + 2)))) div 2) * 2)) + 1)
A320012: 1 1 1 2 1 2 1 2 1 3 1 2 1 2 4 5
(((((loop(\(x,i).(((x + 2) * x) - (((x * x) * x) * (x * x))),1,(compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2)) - 1) * (x + 1)) div (2 + 1)) + 1) mod (2 + 1))
A276729-A257629: 1 1 0 0 1 0 1 0 1 1 2 2 1 1 2 1
((if x <= 0 then 1 else (((((((loop(\(x,i).((((((1 - ((x mod 2) * 2)) * ((x + 1) * x)) div 2) - 1) div 2) * 2),1,(x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) div ((x * 2) + 1))
A306216: 1 1 0 0 ~1 0 ~1 0 ~1 0 ~1 0 ~1 1 ~1 1
(if x <= 0 then 1 else (((((((((((loop(\(x,i).(x * 2),x,((x mod (((x + 1) mod (2 + 1)) + 1)) + 1)) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1))
A056691: 1 1 2 2 2 1 2 3 3 2 2 3 2 2 3 4
((((((((((if x <= 0 then 1 else (compr(\x.((x mod (x - ((loop(\(x,i).(x * 2),x,1) mod (x + 1)) - 1))) - 1),(x + 1)) + 1)) * 2) + 1) div (2 + 1)) + x) * 2) div (2 + 1)) + 1) + x) + 1)
A187344: 2 5 7 9 12 15 16 19 21 24 26 29 32 33 36 39
((((((((((((((((loop(\(x,i).(((if (i mod 2) <= 0 then 2 else i) * i) + x),x,0) * (x + 1)) div 2) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A027194: 0 0 0 1 1 1 1 2 2 3 4 6 7 10 12 17
(((x div (((((((x mod ((loop(\(x,i).((x + 1) * 2),(loop(\(x,i).(x * x),(2 + 2),2) mod (x + 1)),1) mod (x + 1)) + 1)) div 2) + 1) * 2) * (2 + 1)) mod (x + 1)) + 2)) + 1) * 2)
A175462: 2 2 4 2 2 6 2 2 4 4 4 4 2 2 6 4
(loop(\(x,i).((((((((((((loop(\(x,i).((x * 2) + 1),x,((x mod 2) * 2)) mod (x + 1)) div (2 + 1)) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2),1,(x + 1)) div 2)
A295635: 1 1 2 1 2 1 2 2 2 1 4 1 2 2 6 1
(((((loop(\(x,i).((((((loop(\(x,i).(x * x),1,(((((x * 2) + 1) * 2) * 2) + x)) * 2) * (2 + 1)) * (2 + 1)) * (2 + 1)) - 1) * 2),1,0) + 1) * x) + 2) * (x + 1)) div 2)
A130859: 1 1729 5184 10366 17275 25911 36274 48364 62181 77725 94996 113994 134719 157171 181350 207256
((if x <= 0 then (2 + 1) else ((((((((loop(\(x,i).(((2 + 1) * x) - 1),(((x + 1) div 2) - (((x div (2 + 2)) * (2 + 1)) div 2)),1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) - 2)
A102395: 1 0 0 2 0 2 2 2 0 2 2 2 2 2 2 6
(((compr(\x.(2 - (x mod ((((((((loop(\(x,i).(if (x mod (i + 1)) <= 0 then 1 else x),x,((x * 2) + 1)) div (x + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) + 2) - (2 + 1)))),x) + 1) * 2) - 2)
A263458: 4 6 12 22 28 30 36 46 52 60 70 78 100 102 108 126
((((((((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * 2) + 1) * x))),x) + 1) + 2) + 2) + x) * 2) div (2 + 1)) + x) + x) + x) - 2)
A313698: 1 5 10 15 19 24 30 36 41 45 50 55 60 65 70 75
((if x <= 0 then 1 else ((((x * 2) * 2) - (((((((if x <= 0 then 1 else (((((x div (2 + 1)) + x) div ((2 + 2) + 1)) + (x * 2)) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1)) * 2)) + x)
A034697: 1 1 2 3 2 3 4 5 2 3 4 5 4 5 6 5
((x div (((x + 1) div (((((x mod ((if x <= 0 then 0 else ((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2)) + 1)) + 1)
A302791: 1 2 2 2 2 3 2 4 2 4 2 3 2 4 4 2
(((((loop(\(x,i).(x * x),2,(((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) - 1)) div 2) div (2 + 1)) + 1) div (((2 + 1) * 2) + 1)) + 1)
A197529-A197373: 1 1 1 1 1 1 1 3 3 1 1 7 32 7 1 1
((loop(\(x,i).(((((((x div ((2 + 2) + 1)) + 1) * 2) + 1) * (2 + 1)) div 2) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) + 1)
A132048: 1 1 1 1 5 1 1 8 8 1 1 11 17 11 1 1
((((((x div ((x mod (((((((((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1) div 2) + 1) + x) * 2) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) - 1)
A331736: 1 1 1 3 1 1 1 3 9 1 1 3 1 1 1 5
(if x <= 0 then 1 else (((((((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) div 2) + 1) * (2 + 1)) div 2) * ((2 + 2) + 1)) div 2) div 2) + 1))
A124315: 1 2 2 4 2 4 2 6 4 4 2 8 2 4 4 9
(((if x <= 0 then 0 else ((((((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 2) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) + (x div (2 + 1)))
A321211: 1 2 3 3 4 4 5 4 6 6 6 7 7 7 8 7
(2 div ((((((((x + 1) mod ((((((x * 2) + 1) mod (((x * 2) mod ((x div (2 + 2)) + 2)) + 1)) + (if x <= 0 then 0 else 1)) * 2) + 1)) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1))
A307666: 1 0 1 1 0 1 0 0 1 2 0 0 0 0 1 1
(((((x div ((1 - (((loop(\(x,i).(((x * 2) * 2) * 2),((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2),1) div 2) + 2) div (2 + 1))) * (2 + 1))) + 1) div 2) + 1) div 2)
A108063: 0 0 0 1 0 1 1 0 0 1 1 ~1 0 ~1 1 2
((x + 1) div (((((((((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * (2 + 1)) div 2) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2))
A109967: 0 1 0 1 1 1 1 2 1 2 2 1 3 2 2 2
((x + 2) div (((x mod (((((((((x mod (((if ((((2 + 2) * 2) * 2) mod (x + 1)) <= 0 then 1 else 2) * 2) + 1)) + 1) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) * 2)) + 1) * 2))
A029380: 1 0 0 0 0 1 1 1 0 0 2 1 2 1 1 2
((((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * ((x div ((2 + 2) + 1)) + 2)) - 1) * 2) div (2 + 1)) + 2)
A008518: 1 1 1 1 2 1 1 5 5 1 1 12 22 12 1 1
(1 - ((x * x) div (((((((((((((((((loop(\(x,i).((2 + 1) * x),(x div 2),1) div 2) + 1) * x) div 2) + 1) div 2) + 1) div 2) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1) * 2)))
A016004-A015794-A011650: 1 1 1 0 0 ~1 ~1 ~2 ~1 ~1 0 0 1 1 1 1
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) div (if ((x + 2) mod ((2 + 2) + 1)) <= 0 then 2 else 1)) + 1) * (((2 + 1) * 2) + 1)) div 2) div 2)
A134836: 1 1 1 1 3 1 1 5 3 1 1 7 8 3 1 1
(((if x <= 0 then 1 else (((((((((((((((((((x div 2) * x) div (2 + 1)) + 1) * x) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) - (x mod 2)) div 2)
A185215: 0 0 1 1 2 1 2 1 2 1 3 2 4 3 5 5
((x div ((((((((((x * x) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1) * ((x div (2 + 1)) + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1) * 2) + 1)) + 1)
A143786: 1 1 1 2 1 2 2 1 1 2 3 2 1 2 3 2
(((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((2 - (x mod 2)) * 2)) + 1)) div 2) + 1) div 2) * 2) * 2) div (2 + 1)) + 1)
A124975: 1 1 1 1 2 1 1 3 3 1 1 7 6 7 1 1
((((((x div ((x div (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x - (x mod ((2 + 2) + 1))) div 2) + 1)) * 2) + 1)) + 1)) + 1) div 2) + 1) * 2) - 1)
A108553: 1 1 1 1 3 1 1 5 5 1 1 13 13 7 1 1
(((((((((((compr(\x.(1 - (x mod (((((x - ((x div 2) mod 2)) div 2) + 1) mod ((2 + 2) + 1)) + 2))),x) * (2 + 1)) div 2) - 1) * 2) + 1) * (2 + 1)) + 2) * 2) + 1) * 2) - 1)
A178389: 21 69 93 141 213 237 309 381 453 501 573 597 669 717 789 813
((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 2)) * (2 + 1)) div 2) div 2) + 1)
A247285: 1 1 1 1 3 1 1 5 7 1 1 7 19 14 1 1
((((((((((((2 - (x * x)) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) * ((x div 2) + 1)) div 2) * 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + 1)
A144463: 1 1 1 1 4 1 1 6 6 1 1 8 24 8 1 1
((((((x div (((1 - ((((((x mod ((x div (2 + 2)) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1)) + 1) * 2) mod (2 + 1))) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1))
A175070: 0 0 0 2 0 0 0 2 3 0 0 0 0 0 0 6
(x div (((((((((x + 1) div ((((((x div (2 + 1)) * x) mod (((2 - (x div 2)) mod (2 + 2)) + 1)) - (x mod 2)) + 1) + 1)) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1))
A098236: 0 0 1 1 1 1 2 3 2 1 2 3 3 2 3 5
(compr(\x.((((x mod ((x mod (x - (((x - ((x - (1 - ((x + 1) mod (((x - (x mod (((2 + 2) + 1) * 2))) * 2) - 1)))) div 2)) div 2) - 1))) + 2)) + 1) mod (x + 1)) - 1),x) + 1)
A193622: 1 2 3 5 7 10
A267521: 1 2 3 5 7 10 11 12 13 14 15 16 17 18 19 21
(compr(\x.(((((((((((compr(\x.(1 - (x mod (((x div (((x div 2) div (2 + 1)) + 2)) * 2) + 1))),x) + 1) + x) + 2) * 2) div (2 + 1)) - 1) + x) div 2) + x) + 1) mod (2 + 1)),x) - 1)
A003664: 2 5 6 9 10 13 17 20 21 24 28 32 35 36 39 43
(1 - (((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((((x * 2) + 1) * 2) mod (((x div (2 + 2)) + 2) + 1)) + 1) div 2) + 1)) div 2))
A307884: 1 1 1 1 0 1 1 ~1 ~2 1 1 ~2 ~3 0 1 1
((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) * 2) * 2) * 2) div (2 + 1)) + 1) * (2 + 1)) div 2)
A259333: 1 1 1 1 4 1 1 9 9 1 1 16 37 16 1 1
(((((((((((((((x * 2) - ((((x - 2) div (2 + 1)) - x) div (2 + 1))) + 1) * ((2 + 2) + 1)) div 2) div (2 + 1)) + x) + 2) + x) * 2) + 1) + x) + x) div (2 + 1)) + 2)
A191404: 4 7 11 13 17 20 23 27 29 33 37 39 43 46 49 53
((((((((((((((x - ((((x - 1) * x) div 2) div (((2 + 1) * 2) + 1))) * 2) - x) div (2 + 1)) + ((x + 1) * 2)) + 1) * (x + 1)) div 2) + 1) div 2) + x) div 2) + 1) div 2)
A219643: 0 1 2 3 5 7 8 10 13 15 18 21 23 26 29 32
(((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((((((x + 1) div 2) div 2) mod 2) * 2) + 1) * 2) + 1)) div 2) div 2) + 1) * 2) - 2)
A230899: 0 0 0 0 2 0 0 2 2 0 0 10 14 10 0 0
(((((((((((((((((((x * 2) - ((x div 2) div (2 + 1))) + 1) * 2) * 2) div (2 + 1)) + 1) * (2 + 1)) div 2) * 2) + 1) + x) + x) div (2 + 1)) * 2) + 1) + x) div 2) div 2)
A286340: 1 3 4 7 8 10 12 13 15 18 19 21 22 25 26 28
((((((((((((((((((((x * x) - 1) * ((x + 2) + 1)) div 2) div (2 + 1)) + 1) * (x + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + x) + 2) div 2) + x) div 2) + x) div 2)
A067570: 0 1 2 3 4 5 7
A318156: 0 1 2 3 4 5 7 9 12 16 21 27 35 44 55 69
loop(\(x,i).(loop(\(x,i).(if x <= 0 then 1 else (loop(\(x,i).((x + 1) * x),1,(loop(\(x,i).((2 + 1) * x),x,((loop(\(x,i).((x - 1) * x),1,loop(\(x,i).(x * x),x,2)) + 1) * 2)) + 1)) - 1)),x,0) + 1),x,0)
A196750: 0 1 2 6320
(((loop(\(x,i).((x * 2) * (2 + 1)),x,1) - ((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1))) - loop(\(x,i).(x * 2),x,1)) - 1)
A147977: ~4 ~9 ~19 ~9 317 3351 26141 183111 1216637 7842231 49591901 309595431 1915328957 11771279511 71987413661 438579282951
(loop(\(x,i).(x * 2),x,(2 + 1)) - (loop(\(x,i).((x * 2) * 2),x,1) - (loop(\(x,i).((x * 2) * (2 + 1)),x,1) - (loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)))))
A081685: 1 0 ~2 24 382 3480 26398 183624 1217662 7844280 49595998 309603624 1915345342 11771312280 71987479198 438579414024
(((((loop(\(x,i).((loop(\(x,i).loop(\(x,i).loop(\(x,i).(x * x),1,loop(\(x,i).(((x - ((i * x) * 2)) * 2) div (i + 1)),x,1)),1,(x - 1)),1,i) + x) * x),x,1) * (x + 1)) div 2) + 1) div 2) div 2)
A030249: 0 0 2 30 3187
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028208: 1 35 777 13999 223769 3314031 46600009 631601663 8333511417 107767060687 1372468494761 17273924107167 215413939302745 2666835630709103 32824988535796233 402159883923086911
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028215: 1 37 867 16457 276563 4296369 63218779 894460009 12289771395 165102658721 2179224895211 28361892985881 364934200067347 4651876568586193 58839203762144763 739393306409353673
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028223: 1 37 863 16241 269703 4129041 59748151 829986817 11183795975 147236359985 1903757010519 24269169222753 305923748441767 3821741982426769 47397910610955767 584393237595955649
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028154: 1 34 743 13316 213453 3189558 45453091 626299192 8418437225 111046371722 1443490546719 18546769677228 236067224376517 2981598548144926 37417475152222427 467041996357853024
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((2 + 1) * x),(i * 2),1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028226: 1 38 909 17518 297437 4648350 68550973 968960366 13264544733 177146894782 2320188183677 29920806791694 381057655784989 4803870896957534 60058812824159421 745739268125744302
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028195: 1 36 825 15380 254721 3910596 56993545 800115060 10923586641 145981963556 1918518760665 24879137417940 319158529241761 4058064014390916 51218264422582185 642449405949396020
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028163: 1 36 829 15576 260425 4039212 59479093 843439392 11625297409 156744987828 2076870835117 27134173366248 350447396932153 4483154549898684 56894676264296101 717171756670960944
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028164: 1 37 875 16865 288891 4584297 68969155 997819105 14012533931 192242650457 2588592449235 34328260342545 449522440061371 5824352378123017 74789809096438115 953017761256677185
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028179: 1 34 741 13226 211037 3139050 44543077 611425162 8191217133 107740573226 1397106491573 17913626282058 227607187590589 2870438906000362 35976385743457029 448561605029480714
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028188: 1 34 737 13022 204885 2995842 41695033 560476774 7346285309 94497418730 1198353224289 15030879260046 186924790959973 2308975949692498 28368854500004105 347054225208330038
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (x * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028108: 1 36 835 15870 269041 4235856 63339535 911961090 12757140781 174463937076 2343013658635 31002931521510 405218193255721 5241917197644696 67218151176880135 855512978401565130
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A028202: 1 32 647 10582 153153 2049684 26010139 317905634 3781590725 44096537056 506668749951 5757875493006 64896612687817 726942456592748 8105282135259683 90059836210434298
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028211: 1 34 729 12614 192605 2711058 36061873 460391518 5699774949 68923376522 818303379257 9575924656662 110774806146733 1269639423098626 14443439746998081 163313818986599246
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028213: 1 35 773 13783 216909 3146703 43129381 567128471 7227535997 89900761951 1097000610069 13181200344039 156403487677165 1836701044549679 21383695384607237 247159815109688887
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028177: 1 32 653 10864 160965 2216256 29037037 367278608 4526901269 54714980320 651369416061 7662042543792 89264097643813 1031793631351424 11849055184966925 135335527957665616
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028182: 1 31 610 9750 138411 1822821 22826140 275975500 3254034421 37677164811 430475351670 4870239751650 54700558488031 611065572906001 6798955260233200 75422919700042200
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028150: 1 31 614 9926 142995 1915077 24414088 300588892 3608146949 42498447563 493420114122 5665664143698 64496965543063 729264545514289 8201673484111916 91847355888191144
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028152: 1 32 655 10950 163161 2259732 29775715 378619250 4689039421 56915519232 680089278375 8025775900350 93763747253281 1086429328159532 12502585856078635 143058153091970250
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028168: 1 29 536 8086 108927 1369095 16458142 192115232 2198921813 24838420321 278088555108 3094968268938 34308450088459 379311805532507 4186301510180234 46149086679258004
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A028193: 1 34 733 12810 198261 2836554 38431933 500511850 6327324421 78172168074 948456878733 11341481077290 134023690999381 1568398573483594 18205481984727133 209885052725681130
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A028191: 1 33 690 11690 175371 2432283 31956940 403804980 4956450741 59506980533 702298022790 8177594495070 94207230682111 1076026739628783 12205736906550240 137681865037361960
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A028161: 1 34 737 12998 203493 2949042 40498969 534679966 6850824365 85749662570 1053427606881 12745999413654 152297310673717 1800758893450018 21104410600012073 245479747499528462
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A028175: 1 31 612 9842 140903 1874733 23747074 290631904 3469802325 40674188555 470287309856 5380934171886 61072079752867 688801372689097 7730331225654558 86417957138887388
(loop(\(x,i).((2 + 1) * x),(x * 2),1) - (loop(\(x,i).((((2 + 2) + 1) * x) * 2),x,1) - loop(\(x,i).((loop(\(x,i).((((2 + 2) + 1) * x) * 2),i,1) + x) + (((x * 2) * 2) * 2)),x,1)))
A088924: 1 18 252 3168 37512 427608 4748472 51736248 555626232 5900636088 62105724792 648951523128 6740563708152 69665073373368 716985660360312 7352870943242808
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + (x * 2)),x,1)
A028098: 1 33 706 12462 197575 2928471 41480272 568927644 7620023389 100232692989 1300003138798 16672816906746 211898596387843 2673025439802387 33510157279049884 417902567586112968
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + x) + x) + x),x,1)
A028096: 1 31 620 10190 149931 2056881 26907430 340238680 4195278461 50745196931 604662792240 7119407163570 83018865142591 960430934574181 11038161347163050 126162293709144860
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + x) + x),x,1)
A028107: 1 35 790 14630 242011 3723545 54492880 769001660 10558544821 141919432655 1875649181770 24453637571090 315271616180431 4027179810711365 51043597496835460 642723844104282920
loop(\(x,i).(((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + x) + x),x,1)
A028105: 1 33 700 12150 187951 2698923 36799570 483082800 6161352901 76830423813 940920228040 11355049670250 135378462029851 1597705036844703 18694490136746110 217145575509718500
((((((((x + 1) div ((((((if x <= 0 then 0 else ((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1)) + 1) * 2) + 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A141242: 2 2 3 2 2 3 2 2 5 2 2 2 3 2 2 2
((loop(\(x,i).(((((((loop(\(x,i).((x * x) * x),1,(((x * 2) + 1) * ((2 + 2) + 1))) - 1) - 1) - loop(\(x,i).(x * 2),(x - 1),1)) * 2) * (2 + 1)) * (2 + 1)) + 1),x,1) * 2) - 1)
A068136: 1 121393 4611686018427387903
(((if x <= 0 then 1 else (((((loop(\(x,i).(x * 2),x,(compr(\x.(loop(\(x,i).((((x + 2) + 2) * (x + 2)) * 2),2,((x + 2) * x)) mod (x + 1)),x) + 1)) div 2) div 2) + 1) div 2) * 2)) + x) div (x + 1))
A245899: 1 1 2 3 7 14 37 80
(if x <= 0 then 1 else (((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x)) mod ((2 + 2) + 1)) mod ((x div (2 + 2)) + 1)) + 1) * 2))
A270438: 1 2 2 2 2 4 2 4 2 4 4 4 2 4 4 8
loop(\(x,i).((x + 1) * x),1,(1 - (((((((((if x <= 0 then 0 else (((x * 2) - (if (x mod (2 + 2)) <= 0 then (x div (2 + 2)) else 0)) + 1)) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2)))
A116564: 0 0 0 0 0 0 2 2 2 2 6 6 12 12 20 12
((if x <= 0 then 1 else ((((((loop(\(x,i).(x * 2),x,(((((((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) mod (x + 1)) div 2) + 1) div 2) + 1) * 2)) div 2)
A193523: 0 1 2 1 2 2 2 1 2 2 2 2 2 3 1 1
((((((((((((loop(\(x,i).(((((2 + 1) * 2) + 1) * x) * x),1,loop(\(x,i).((((i mod 2) + x) * 2) - 1),x,0)) div 2) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1)
A006250: 1 1 1 2 2 6 17 69
(((loop(\(x,i).((x + 1) * 2),x,((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((x - 1) div (2 + 1))) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) div 2) div 2) + 1)
A222011: 1 2 4 8
A014225: 1 2 4 8 20
A236397: 1 2 4 8 20 40 96 224
((((((((x - (((if (x mod (2 + 1)) <= 0 then (((2 + 2) + 1) * (if x <= 0 then 1 else 2)) else 1) * (2 - (x mod 2))) * 2)) * (2 + 1)) div 2) * 2) + 1) mod (((2 + 1) * 2) + 1)) + 2) div (2 + 2))
A109066: 1 1 1 1 0 1 1 0 2 1 1 2 0 1 1 2
(((((((((((x div ((x mod (((loop(\(x,i).(x - (if (x mod (i + 1)) <= 0 then 1 else 0)),x,x) + 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) + x) div 2)
A071693: 1 1 2 2 4 3 5 4 6 6 7 6 9 7 10 9
((((((((loop(\(x,i).(((x * 2) - 1) * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) + 1) div (2 + 1)) * 2) + 1) * 2) div (2 + 1)) + 1)
A196904-A196746: 1 1 1 1 1 1 1 3 3 1 1 7 20 7 1 1
(((((((((((if x <= 0 then 1 else ((((x * 2) * 2) - ((((x div 2) mod 2) + x) div 2)) * 2)) * 2) + 1) div (2 + 1)) + (x * 2)) + ((x + 1) div (2 + 1))) + x) + 2) * 2) div (2 + 1)) - 1)
A137002: 1 5 11 15
A314060: 1 5 11 15 21 27 32 37 43 49 53 59 64 69 75 79
(((((((if x <= 0 then 1 else (((((((((x * 2) - ((x - (((x div (2 + 1)) + x) div (2 + 1))) div 2)) + 2) + x) * 2) div (2 + 1)) - 1) + x) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A315062: 1 5 9 15 20 25 31 36 41 47 51 56 61 65 71 76
((((((((loop(\(x,i).(x * x),1,((((((2 + 2) * 2) * (2 + 1)) - 1) * (x + 1)) + (x div (((2 + 2) * 2) + 1)))) + 2) * 2) * 2) * 2) * (2 + 1)) - 1) * 2) mod ((2 + 2) + 1))
A112085: 1 2 2 1 4 1 2 2 1 2 2 1 4 1 2 2
((((((((((((((loop(\(x,i).((((x * 2) div (i + 1)) * ((i * 2) - 1)) * (2 + 1)),x,1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2) - 1) * (x + 1)) div 2) + 1) mod (2 + 1))
A199322: 1 1 2 0 1 1 1 1 2 0 2 1 2 1 2 1
((((((loop(\(x,i).(x * 2),(1 - ((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2)),1) - 2) mod (((2 + 2) * 2) + 1)) + 1) * 2) * 2) div (2 + 1))
A152237: 1 1 1 1 4 1 1 9 9 1 1 8 12 8 1 1
((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (if (x mod (2 + 1)) <= 0 then 2 else 1)) + 1) * 2) * 2) + 1) div (2 + 1)) * 2) * 2) div (2 + 1))
A204621: 1 1 1 1 4 1 1 5 5 1 1 6 16 6 1 1
(((((x - ((((((((((((x - (x div ((if ((x div (2 + 2)) - 2) <= 0 then 1 else 2) + 2))) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) div 2) - 1)) div 2) + 1) + x) + (2 + 1))
A225871: 4 6 7 9 10 11 12 13 15 16 17 18 18 19 20 21
(((x + 1) * 2) - (((if x <= 0 then 0 else (((((((x div ((x mod ((x div (((1 - (x * 2)) mod ((x div (2 + 2)) + 2)) + 2)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2))
A288625: 2 3 5 7 8 11 12 14 17 18 20 22 23 27 28 30
(((((((((((if x <= 0 then 1 else (((((((((x + 2) * x) + 1) * (2 + 1)) div ((2 + 2) + 1)) + 1) + x) + x) div 2)) + (x mod 2)) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A062426: 1 1 2 3 4 7 10 14 19 26 33 42 52 65 78 94
(if x <= 0 then 1 else (((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x * 2) + 1) mod (((x div (2 + 2)) + 2) + 1)) div 2) + 1)) div 2) + 1) * 2))
A140818-A139813: 1 2 2 2 2 2 2 6 6 2 2 8 6 8 2 2
(((((((((x mod (((((if (((x mod (2 + 1)) * x) mod ((2 + 2) + 1)) <= 0 then 1 else 2) * ((x mod 2) + 1)) + 1) mod (x + 1)) + 2)) + 1) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A003643: 1 1 1 2 2 1 2 1 2 2 2 2 1 4 2 1
(x div ((((x + 1) mod ((((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) mod (((2 + 1) * 2) + 1)) + 1) div 2) + 2) + 2) + 2) mod (x + 1)) + 2) + 2)) + 2) + 2))
A036848: 0 0 0 0 0 0 1 1 0 0 0 2 3 1 2 1
(((((((((((((((((loop(\(x,i).(((x * x) div (2 + 1)) + x),1,(x - 1)) * x) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) + ((x * 2) * 2))
A314825: 1 5 9 14 18 22 26 30 34 38 43 47 52 57 61 66
(((((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((2 + 2) + 1)) mod ((((2 + 1) * 2) * (2 + 1)) + 1)) + 1) div 2) * 2) + 1) mod (x + 1)) div 2) + 2) + x) div 2)
A226142: 1 1 2 3 3 4 4
A084242: 1 1 2 3 3 4 4 5 5 6 7 7 8 9 11 9
(((((((((((((((((((x - (loop(\(x,i).(x * 2),x,1) mod (((2 + 2) * 2) + 1))) + x) + 2) + x) div 2) + x) + x) + x) div 2) + x) + 2) + x) + x) div 2) + x) + 2) + x) + x) - 2)
A315692: 1 6 12 17 22 28 34 40 45 50 56 62 68 74 79 84
((((((((((((((((((((((((x + 2) + 2) + 2) * (2 + 1)) - 1) * x) div 2) div 2) div 2) + 1) div 2) + x) div 2) + x) + 2) + x) + x) + 2) + x) + x) + 2) * 2) div (2 + 1)) + 1)
A190951: 5 9 13 17 21 26 31 36 41 46 51 56 62 67 73 79
((((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) * 2) + 1) div (x + 1)) + 1)
A123402: 4 2 2 1 2 1 1 3 3 1 1 2 3 2 1 1
((x + 1) div ((((((((((((((((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) mod (2 + 1)) + 1) * 2) + 1))
A330601: 0 0 0 0 0 0 1 1 1 1 2 4 4 4 2 3
((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x + 1) div ((x mod ((2 + 2) + 1)) + 2)) + 1)) + 1) * 2) * (2 + 1)) - 1) div ((2 + 2) + 1)) * 2) - 1)
A108625: 1 1 1 1 3 1 1 7 5 1 1 13 19 7 1 1
(((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 2)) * (2 + 1)) div 2) div 2) div 2) + 1)
A162717-A122175: 1 1 1 1 2 1 1 3 4 1 1 4 10 7 1 1
(((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) * 2) * 2) * 2) div (2 + 1)) + 1) * 2) + 1) div (2 + 1))
A202979: 1 1 1 1 2 1 1 4 4 1 1 7 17 7 1 1
((((((((((((((((((((x div 2) div ((2 + 2) + 1)) + x) * (2 + 1)) div 2) * 2) + 1) + x) + x) * (2 + 1)) div 2) div 2) + 1) + x) * 2) + 1) + x) + x) div (2 + 1)) mod (2 + 1))
A303942: 1 1 0 0 1 1 0 0 1 2 1 0 0 1 1 0
((((x div (((x + 1) div (((x div ((x mod (((x + 1) div (((((x * 2) div ((x div (2 + 2)) + 1)) mod 2) + (x mod 2)) + 1)) + 1)) + 2)) + (x mod 2)) + 1)) + 1)) + 1) - (x mod 2)) - 1)
A085122: 0 ~1 0 0 0 0 0 1 1 1 0 2 0 1 1 2
(((((((((((((((((((((x mod 2) + x) + 1) * (x + 1)) div ((x div (2 + 1)) + 1)) + 2) + 2) + 2) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A226591: 1 1 1 1 1 2 2 2 3 3 4 5 4 6 6 7
(((((((((((((((((((((x - 2) * x) * (x - 1)) div (((2 + 2) * 2) + 1)) * 2) + 1) - x) div 2) div 2) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2)
A035547: 0 0 0 0 0 0 1 1 1 2 4 5 7 10 14 19
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x mod (((x div ((2 + 2) + 1)) + 2) * 2)) * 2) + 1)) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A192404: 1 1 1 1 2 1 1 4 5 1 1 7 14 10 1 1
(((((((((x mod (((x div (2 + 2)) * 2) + 1)) + 1) * 2) mod ((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) + 1) * 2) mod (x + 1)) + 2) * 2)
A333167: 4 4 8 8 8 8 8 12 16 8 8 8 16 16 8 8
(((((((((((((((((((((((x - 1) * x) div 2) + (x div (2 + 1))) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) + x) + x) + x) * 2) div (2 + 1)) + x) + 1) + x) div 2) + 1) + x)
A281582: 1 5 9 13 16 20 24 28 33 37 41 46 50 55 60 64
compr(\x.(if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else (x - loop(\(x,i).(if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else (x - (if x <= 0 then 1 else (((((i * 2) - 1) * x) * 2) div (i + 2)))))),1,x)),2,x)))),x,x)),x)
A342792: 2 5 6 7 12 13 14 15 16 17 27 28 29 30 31 32
(((loop(\(x,i).((((if x <= 0 then 0 else loop(\(x,i).(x * 2),(loop(\(x,i).(loop(\(x,i).(x - (if x <= 0 then 1 else (x div (2 - (x mod 2))))),x,x) + x),2,x) - 1),1)) + 1) + x) + ((x + 1) div 2)),x,1) div 2) + 2) div 2)
A081226: 1 2 3 5 8 12 18 27 41 62 93 139 209 314 472 708
(((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((((((loop(\(x,i).(x * 2),x,(loop(\(x,i).(((2 + 2) + 1) * x),(x + 1),1) - ((x * x) * x))) div 2) div 2) + 1) div 2) + 1) * 2))) + 1) div (2 + 1)) + 1)
A234283: 1 10 161 3196
((loop(\(x,i).(x * 2),(x - 1),(if x <= 0 then 1 else ((((((((((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),x,1)) - 1) * x) div 2) div (2 + 1)) + 1) div 2) + 1) div 2) + 1) * 2))) + 2) div (2 + 1))
A297118: 1 1 3 16 539
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028219: 1 39 961 19131 336217 5446035 83308177 1221791547 17352006793 240304555491 3261449180353 43542585627723 573464912457529 7467052092622707 96294712139682289 1231626797709018459
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028209: 1 36 823 15282 251881 3847032 55777051 779149134 10588135261 140901434388 1844713666159 23841089487306 304926682591441 3866889746187504 48692419436767747 609526612369569798
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028224: 1 38 911 17632 301245 4745706 70660507 1009770884 13991407529 189303883054 2513736124263 32882696484456 424941717543253 5436863390984882 68985988087521779 869260000449137548
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016092: 1 40 1005 20300 360521 5881680 90375685 1328528500 18879767841 261281940920 3540146411165 47147861315100 619093593987961 8034113714073760 103234967777291445 1315472793832108100
loop(\(x,i).(loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016093: 1 41 1055 21805 395871 6595701 103397575 1549123085 22414242191 315506452261 4343673465495 58723278269565 781995624847711 10282227616659221 133750220517219815 1723860289008683245
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028218: 1 38 913 17738 304549 4824806 72271081 1039149506 14486436877 197162419454 2632865400529 34623882428954 449653998040885 5779288950415382 73637791767193657 931419802216938482
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028199: 1 38 917 17950 311181 4984638 75555157 1099718270 15519848861 213791759038 2888580642597 38416793758590 504293367484141 6547729455298238 84231046860437237 1075013759173110910
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + ((x * 2) * (2 + 1))),x,1)
A028207: 1 34 731 12716 195657 2781030 37422967 484054192 6078887573 74632686986 900223323363 10706758727028 125901196014049 1466781515230702 16957557634824719 194793155476604024
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + ((x * 2) * (2 + 1))),x,1)
A028216: 1 36 817 14952 241213 3582348 50196889 673865424 8755297045 110878147380 1375697840881 16786476031416 202032169207597 2403762666000732 28323951022216393 331005811232778528
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028220: 1 35 770 13630 212331 3041745 41087740 531634460 6658867061 81336796255 974120693910 11484949238490 133713902876191 1540987906351565 17612518552867280 199940810374681720
loop(\(x,i).((loop(\(x,i).(loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028222: 1 36 815 14850 238161 3512376 48835795 650202750 8376184421 105168836916 1293777896775 15655641961050 186905779340281 2206620573868656 25809833134389755 299526474742773750
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((x * 2) * (2 + 1))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028205: 1 33 688 11598 172879 2380371 31036006 389148576 4740682837 56509956789 662486064604 7666900074834 87835709417275 998290939845687 11274360941128882 126686827598516772
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028189: 1 35 782 14254 231459 3493041 50160064 695287148 9389676197 124321003807 1620910078866 20877357884682 266266935091015 3368664326093933 42334402590112388 529044108699525256
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028187: 1 33 692 11790 178311 2498643 33230002 425666400 5302894421 64673833653 775796369712 9184400635410 107582646828931 1249287573291063 14403306409895822 165064341717134820
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)
A016075: 1 38 905 17290 289821 4453638 64331905 887339330 11810819141 152832918238 1933092302505 23997027406170 293289532268461 3537885908902838 42204462297434705 498697803478957810
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A028198: 1 37 870 16610 281171 4403367 65339080 932218420 12912631941 174806957897 2323925673290 30446318392230 394142295428311 5052076439311627 64222440261259500 810705252920074040
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),x,1)
A028196: 1 35 776 13930 221151 3240825 44906926 597218720 7698198101 96837355615 1194615734676 14505367659510 173840151316651 2060770407338405 24205227062904026 282088240414000300
(loop(\(x,i).(if x <= 0 then 1 else (((((((((loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(((x * 2) - (x div (i + 1))) * 2),x,1)) + 1) * (x + 1)) + 1) div 2) div 2) + 1) div 2) + 1) * 2)),1,(x - 1)) + x)
A245894: 1 2 14 163 2558
(if x <= 0 then 0 else ((((((((x + 1) div (if x <= 0 then 1 else ((((((loop(\(x,i).(x * 2),x,((x div ((2 + 2) * 2)) + 1)) mod (x + 1)) div 2) + 1) div 2) + 1) * 2))) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A196067: 0 2 2 2 2 2 3 3 2 2 2 3 3 3 2 4
(((loop(\(x,i).(x * x),1,(((((((((((loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).((2 + 1) * x),x,1)) div (2 + 1)) + 1) div 2) div 2) + 1) * 2) div (2 + 1)) + 1) + x) * 2) - 1)) div 2) div 2) div 2)
A138496: 0 1 10 120 3003
((x mod ((x mod ((x mod (((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (x - (if (x mod ((((2 + 2) * 2) * 2) - 1)) <= 0 then 2 else 0))) + 1) mod (x + 1)) + 1)) + 1)) + 1)) + 1)
A180173: 1 1 3 1 1 1 1 1 3 1 1 1 13 1 15 1
(((((((((((((((loop(\(x,i).(if x <= 0 then 1 else ((x - (((x div (2 + 2)) * (2 + 1)) div 2)) * 2)),x,0) + 1) + x) div 2) + 1) + x) div 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1)
A318053: 1 1 2 2 3 4 5 7 9 12 15 19 24 31 39 50
(compr(\x.(((((((((((loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1)) + (loop(\(x,i).((x + 1) * 2),x,0) mod (x + 1))) div 2) div 2) + 1) div 2) + 1) * 2) - 1) mod (x + 1)) mod (2 + 1)) - 1),x) + 1)
A028826: 1 2 3 4 5 6 7 8 10 11 12 14 15 21 23
loop(\(x,i).((((((((((((((loop(\(x,i).(x * 2),((((x * 2) mod ((2 + 2) + 1)) * 2) + 1),(x div 2)) + 1) div (2 + 1)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2),x,1)
A328217: 1 2 14 22 120
(((((((((compr(\x.(1 - (x mod ((((if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1) + 1) mod (x + 1)) + 2))),(x + 1)) + 1) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + x) - 2)
A304452: 1 3 5 6 7 10 11 13 14 16 18 20 22 24 25 26
((((((((((((((((loop(\(x,i).(x - (x div ((x mod (0 - 2)) - 2))),x,1) div 2) + 2) div (2 + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2) div (2 + 1)) - 1)
A332286: 0 0 0 0 0 0 0 0 1 0 1 1 2 3 5 5
(loop(\(x,i).((((((((((((((((((((((x div 2) + 2) + 2) * (x + 1)) div 2) div 2) div 2) * 2) + 1) + x) * (x + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1) mod 2) + x) + 1),x,1) - 1)
A155498: 0 1 2 3 5 7 9 11 12 13 15 17 18 19 20 22
((((((((((x mod ((if x <= 0 then 0 else ((x div ((((((((x - 1) * x) + 2) mod ((x + 2) + 2)) div 2) + 1) * 2) + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) + 1) mod (2 + 1)) + 1) mod (x + 1)) + 1)
A173439: 1 2 2 2 2 4 2 3 2 4 2 4 2 4 4 2
((((((((((((((((((if ((x div 2) mod (((x mod 2) * 2) + 1)) <= 0 then 2 else 0) + x) div 2) mod 2) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2) - (x mod (2 + 1))) div 2) - 1)
A138468: 1 0 0 1 0 0 1 0 1 1 0 1 2 1 0 2
((((((((((((loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),x,((x mod 2) + 1)) div 2) div 2) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) * ((x mod 2) + 1)) div (2 + 1)) div ((2 + 2) + 1))
A152435: 0 1 3 133 366 16105 44289 1948717 5358972 235794769 648435615 28531167061 78460709418 3452271214393 9493745839581 417724816941565
((((((((((((((((((loop(\(x,i).(((x div 2) + x) + 2),(x div 2),(x mod 2)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A274759: 0 1 1 1 1 2 2 2 3 4 4 6 7 8 12 14
loop(\(x,i).(((((((((((((((((((x * 2) div (((2 + 1) * 2) + 1)) + x) + 2) * (2 + 1)) div 2) + x) + 2) div 2) div 2) * 2) + 1) * (2 + 1)) + x) div 2) + 1) mod 2) + x) + (2 + 2)),x,1)
A313689: 1 5 10 15 19 24 28 33 37 42 47 52 57 62 67 71
(((((((((((((x div ((x mod ((x div ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x) + 2) * 2) mod (2 + 1)) + 1) mod (x + 1))
A171899: 0 0 1 3 1 3 2 2 1 3 2 1 3 1 3 2
((((((((((((((((loop(\(x,i).(x * 2),(((x div 2) - ((x mod 2) * 2)) + 1),2) + 1) div (2 + 1)) div 2) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) div 2)
A029234: 1 0 1 0 1 0 1 1 1 1 2 1 3 1 4 1
((1 - ((((((((loop(\(x,i).(x * 2),x,((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1)) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) mod (2 + 1))) + 2)
A222580: 1 1 1 2 1 1 1 3 2 1 1 3 2 3 2 2
(((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (if (x mod (2 + 1)) <= 0 then 2 else 1)) + 1) * 2) * 2) + 1) div (2 + 1)) * 2) * 2) div (2 + 1)) - 2)
A143199: ~1 ~1 ~1 ~1 2 ~1 ~1 3 3 ~1 ~1 4 14 4 ~1 ~1
((((if (x mod 2) <= 0 then ((((((((((((((((x div (2 + 1)) * (x div 2)) div 2) * 2) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) else 0) - (x mod 2)) + 1) div 2)
A046767: 1 0 1 0 1 0 2 0 3 0 4 0 8 0 10 0
((((((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) + 1) mod ((x + 2) + 2)) * 2) * (2 + 1)) - 1) div 2) div 2)
A306344: 1 1 1 1 2 1 1 5 5 1 1 14 17 14 1 1
((((((((((((((2 - (x mod 2)) mod ((if ((x mod (2 + 1)) - 1) <= 0 then 2 else 0) + 1)) + 1) * (2 + 1)) mod ((2 + 2) + 1)) div 2) + 2) + 2) * (2 + 1)) + 2) + (2 + 1)) * (2 + 1)) + 2) + 2)
A153646: 73 55 64 55 73
(((((((((((((((((loop(\(x,i).((((x * 2) - (x mod 2)) * 2) * 2),x,1) div (2 + 1)) + 1) + x) * 2) + 1) mod (x + 1)) div 2) * 2) + 1) mod (x + 1)) * 2) + 1) + x) div 2) + 2) div 2) div 2)
A078641: 0 1 1 1 1 2 1 2 2 2 2 2 2 3 4 5
(((1 - ((((((((((((((((if ((x + 1) mod ((2 - (x mod 2)) + 1)) <= 0 then x else 1) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) div 2)) + 2) + x)
A062854: 1 2 3 3 5 4 7 5 6 6 11 6 13 8 9 8
((((((((((((((((((loop(\(x,i).(((x * x) div (2 + 1)) + x),1,(x - 1)) * x) div 2) + 1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) + ((x * 2) * 2)) + x)
A315517: 1 6 11 17 22 27 32 37 42 47 53 58 64 70 75 81
(((((((((((0 - 2) mod (1 - (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((2 - x) div 2)) div 2) * 2))) + 1) * 2) * (2 + 1)) * (2 + 1)) div 2) div 2) + 1) div 2) - 1)
A177947: 1 1 1 1 4 1 1 8 8 1 1 13 22 13 1 1
((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 2)) * (2 + 1)) div 2) div 2) + 1) div 2) + 1)
A137153-A073165: 1 1 1 1 2 1 1 3 4 1 1 4 10 8 1 1
(((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div ((x mod ((2 + 2) + 1)) + 1)) + 2) * 2) - 1)) + 1) * (2 + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A062715: 1 1 1 1 2 1 1 4 4 1 1 8 12 6 1 1
((((((((((((((((((((((2 + 2) * (x + 1)) + x) * 2) - 1) * (x + 2)) div 2) div 2) + 1) * 2) + 1) + x) + x) div (2 + 1)) * 2) + 1) + x) + x) div (2 + 1)) + 2) + x) div (2 + 1))
A184015: 1 3 6 9 14 19 25 31 38 46 55 64 75 86 97 110
(x div ((((((((((((((((((((x + 1) * 2) mod ((2 + 2) + 1)) * (2 + 1)) + 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) + 1))
A230243: 0 0 0 0 1 1 1 1 2 2 2 1 3 1 4 2
(x div ((((((((((x div (((((x mod ((2 + 2) + 1)) + 1) * ((2 + 2) + 1)) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div ((x mod ((x div (2 + 1)) + 1)) + 1)) * 2) + 1) mod (x + 1)) + 2))
A035459: 0 0 1 1 0 1 1 1 1 1 2 3 1 2 4 3
(1 - ((((((((1 - (((((x mod (((x mod (((x mod ((x div (2 + 1)) + 1)) + 1) * 2)) + 1) * 2)) + 1) mod (x + 1)) + 1) mod (2 + 1))) mod (x + 1)) + 1) div 2) + 1) * 2) mod (x + 1)) div 2))
A157657: 1 1 1 0 1 ~1 1 0 0 ~1 1 0 1 ~1 ~1 0
(1 - ((1 - (((((((((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1)) * 2) * 2) * 2) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) div 2) div 2)) div 2))
A244580: 1 2 2 3 2 3 4 3 3 4 5 4 4 4 5 6
((((((((((((((((((((((((x - 1) * x) div 2) div (2 + 1)) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x) + 2) + 2)
A191846: 5 7 8 9 10 11 12 13 15 16 17 19 21 22 25 26
((((((((x div (((1 - ((((((x mod ((x div (2 + 2)) + 1)) + 1) div (((x + 1) mod (2 + 2)) + 1)) + 1) * 2) mod (2 + 1))) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x)
A175067: 1 2 3 6 5 6 7 10 12 10 11 12 13 14 15 22
(x div (((x + 1) div (((((((loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 1)) + x) * (2 + 1)) div 2) div 2) + 1) mod (2 + 1)) + 1)) + 1))
A188921: 0 1 1 0 2 1 1 1 0 0 2 0 2 2 1 1
((if x <= 0 then 1 else ((((((loop(\(x,i).(x * 2),x,1) - (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) - compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x))) div 2) + 1) div 2) + 1) * 2)) mod (2 + 1))
A194852: 1 2 1 1 1 1 1 1 2 0 2 1 1 1 2 1
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A028228: 1 40 1007 20414 364329 5979036 92485219 1369339018 19606630637 273438929192 3733694351751 50109751007862 662977655746225 8667106208101108 112162143040653803 1438993526155501346
loop(\(x,i).(loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + (((x * 2) * 2) * (2 + 1))),x,1)
A016094: 1 42 1105 23310 431221 7309722 116419465 1769717670 25948716541 369730963602 5147200519825 70298695224030 944897655707461 12530341519244682 164265473257148185 2132247784185258390
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + (((x * 2) * 2) * (2 + 1))),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028227: 1 39 958 18966 330883 5313693 80518096 1169149692 16435587685 225292911987 3026941267714 40015278899778 522017655765607 6735488552529321 86110477932406612 1092366397140622824
loop(\(x,i).((loop(\(x,i).((loop(\(x,i).(loop(\(x,i).((((2 + 2) * (2 + 1)) - 1) * x),i,1) + ((((2 + 2) + 1) * x) * 2)),i,1) + x) + (((x * 2) * 2) * 2)),i,1) + x) + ((x * 2) * (2 + 1))),x,1)
A028225: 1 37 860 16070 263991 3983007 56583850 768771040 10093501781 129000877577 1613435099640 19826334683610 240097655804371 2872253241385747 34007147715912230 399112139110865780
((((((if x <= 0 then 1 else (((((((((loop(\(x,i).(x * x),1,(compr(\x.(loop(\(x,i).((2 - x) * 2),x,1) mod (x + 1)),x) + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) * (x + 1)) div 2) + 1) div 2) + 2)
A146747: 2 3 5 6 7 20 30
(((((((((((((loop(\(x,i).(x * 2),x,(2 - (if (x mod 2) <= 0 then (if ((x mod (2 + 1)) - 1) <= 0 then x else 2) else 1))) - 1) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) * 2) - 2)
A094572: 2 0 4 2 4 0 4 4 6 0 4 4 4 0 8 6
(1 - (if (x - 1) <= 0 then 0 else ((((((((((((((((x mod ((x div (if (x mod 2) <= 0 then (2 + 2) else 1)) + 1)) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) mod (x + 1)) div 2) mod 2) + 1)))
A113681: 1 1 0 ~1 0 0 0 ~1 ~1 0 0 0 0 0 ~1 0
(((((((((if x <= 0 then 0 else (((((((x div ((x mod (x - ((loop(\(x,i).(x * 2),x,2) mod (x + 1)) - 1))) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2)
A336471: 1 1 2 1 2 2 3 1 4 2 3 2 3 3 5 1
(((((((((((compr(\x.(0 - loop(\(x,i).((if (x mod ((i * 2) + 1)) <= 0 then 0 else x) - 1),x,((((2 + 1) * x) * (2 + 1)) + 1))),x) * 2) + 1) * 2) * (2 + 1)) - 1) * 2) * (2 + 1)) - 1) div 2) div 2) - 2)
A061240: 5 23 41 59 113 131 149 167 239 257 293 311 347 383 401 419
compr(\x.((x - (((loop(\(x,i).(x * 2),x,((((((((if (x mod 2) <= 0 then 1 else ((((((x mod 2) * 2) * 2) * 2) + 1) * 2)) * (x + 1)) div 2) div 2) + 1) * 2) mod (2 + 1)) - 1)) mod (x + 1)) div 2) * x)) * 2),x)
A165991: 0 5 8 9 10 11 13 14 17 19 20 21 22 23 24 25
(if x <= 0 then 0 else (((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x - 1) div 2)) + 1) div 2) * (((2 + 1) * 2) + 1)) * (2 + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) + 1))
A141398: 0 1 1 1 5 1 1 8 8 1 1 11 19 11 1 1
((((((((((((((if x <= 0 then 1 else ((((((x div 2) mod 2) + x) div 2) + (x * 2)) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1) + (x * 2)) + ((x + 1) div (2 + 1))) + x) + 2) * 2) div (2 + 1)) - 1)
A314189: 1 5 11 17 21 27 32 37 43 47 53 59 64 69 75 81
(((((((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) * ((2 + 2) + 1)) div 2) * 2) + 1)
A056940: 1 1 1 1 5 1 1 15 15 1 1 35 105 35 1 1
((((((((((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) * (((x + 2) * 2) + 1)) div (2 + 1)) + 1) div 2) div 2) + 1) div 2) div 2) + 1) + x) div 2) + 1) + x) + 2) * 2) div (2 + 1))
A075471: 2 3 4 5 6 8 10 11 13 15 17 20 22 24 26 29
((((((((loop(\(x,i).(x * 2),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) * ((x div ((2 + 2) + 1)) + 1)) * (2 + 1)) + 1) div 2) * 2) + 1) div (x + 1))
A327693: 1 0 0 0 1 0 0 1 1 0 0 3 5 2 0 0
(((((((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) + 1) * ((2 + 2) + 1)) div 2) div 2) div 2) + 1) * (2 + 1)) div 2)
A171145: 1 1 1 1 3 1 1 4 4 1 1 10 27 10 1 1
((((((((((loop(\(x,i).(i * x),((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + 1),1) div 2) + 1) * 2) div (2 + 1)) + 1) * (2 + 1)) div 2) * 2) div (2 + 1)) * 2)
A204301: 0 0 0 0 4 0 0 4 4 0 0 16 80 16 0 0
((((((((((((((((((((((x mod 2) * 2) + x) + 2) * x) div 2) + 1) + (x mod 2)) * 2) div (2 + 1)) + 1) + x) + 2) * (x + 1)) div 2) + 1) div 2) * 2) + (x div (2 + 1))) + (x + 1)) * 2) + 1)
A319304: 7 17 31 67 89
(((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 2)) * (2 + 1)) div 2) div 2) + 1) div 2) * 2) + 1)
A047969: 1 1 1 1 3 1 1 5 7 1 1 7 19 15 1 1
((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x + 1) div 2) div 2) + 1) div 2)) + 1) * (2 + 1)) div 2) + 1) * ((2 + 2) + 1)) div 2) div 2) - 1)
A174037: 1 1 1 1 4 1 1 5 5 1 1 12 16 12 1 1
(((1 - (((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((2 - x) div 2) * (2 + 1)) div 2)) + 1) div 2) * (2 + 1)) div 2)) + (((x div ((2 + 2) + 1)) + 1) * 2)) div (2 + 1))
A294783: 1 1 1 1 1 1 1 2 2 1 2 4 6 4 2 3
((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x div 2) + 1) div 2) * 2) + 1)) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + 1) * (2 + 1)) div 2)
A157632: 1 1 1 1 6 1 1 18 18 1 1 36 48 36 1 1
((((2 + 1) * 2) + 1) mod (((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (2 + 1)) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) + 1) div 2) + 2))
A204242: 1 1 1 1 3 1 1 0 0 1 1 0 7 0 1 1
((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((((x div 2) mod 2) * 2) + 1)) * (x div (2 + 2))) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * (2 + 1)) div 2) div 2)
A167630-A137743-A099239-A055587: 1 1 1 1 2 1 1 4 3 1 1 8 8 4 1 1
((((((((x + 1) div (((x + 1) div (((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2))) + 2)) + 1) * (2 + 1)) div 2) div 2) + 1) + (x mod 2))
A286605: 1 2 2 3 2 4 2 4 3 4 2 5 2 4 4 6
((((((((((((((((x * 2) - (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) div 2) + 1) + x) div 2) + 1) - x)
A016338: 1 1 0 0 0 0 0 ~1 ~1 0 0 ~1 ~1 0 1 1
(compr(\x.(1 - (((((loop(\(x,i).(x * 2),(loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,(x + 1)) + x),1) div 2) div (2 + 1)) + 1) div 2) mod (2 + 1))),x) + 1)
A144754: 4 8 9 10 12 17 18 19 20 21 22 24 25 26 28 32
(loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + ((loop(\(x,i).(x * 2),x,2) - 1) div ((x + 2) + 1))) div 2) + 1) div 2) + 1) div 2) + 1) * 2))) mod (2 + 1))
A281491: 1 1 1 2 0 1 1 1 2 0 2 0 1 2 1 1
(((loop(\(x,i).(x * 2),x,(loop(\(x,i).(if (x mod 2) <= 0 then (x div 2) else (((((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,2) * ((2 + 2) + 1)) - 1) * (2 + 1)) * (2 + 1)) + 1)),x,(2 + 1)) + 1)) + 1) + 1) * 2)
A069048: 12 123456 4611686018427387903 4611686018427387903 4611686018427387903
((((((if x <= 0 then 1 else (((((((((if x <= 0 then 1 else (((2 + 2) + 1) * x)) - (((1 - x) * 2) div (((2 + 2) * 2) + 1))) + x) + x) + x) * 2) div (2 + 1)) - 1) + (x * 2))) + x) + x) + 2) * 2) div (2 + 1))
A277690: 2 6 13 19 26 32 38 44 51 57 63 70 76 82 88 95
(((((((x div ((x mod (((loop(\(x,i).(x * 2),((x div (((x div 2) div ((x mod ((x mod (((x mod 2) + 2) + 1)) + 1)) + 1)) + 2)) + 1),1) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A336390: 1 1 2 1 3 2 2 1 4 3 3 2 5 2 6 1
(((((((((((((((((if x <= 0 then 1 else ((((((x div 2) mod 2) + x) div 2) + ((x * 2) * 2)) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1) + x) + 2) + x) * (2 + 1)) div 2) div 2) + 1) * 2) div (2 + 1)) - 1)
A315018: 1 5 9 15 19 23 28 33 37 41 47 51 56 61 65 71
(((((((if x <= 0 then 1 else ((((((((((((((x * 2) div ((2 + 2) + 1)) + (x * 2)) * 2) + x) + 1) * 2) div (2 + 1)) + x) + 2) * 2) div (2 + 1)) - 1) + (x * 2))) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A315030: 1 5 9 15 19 25 29 33 39 43 49 53 58 63 67 73
((((((((((loop(\(x,i).((x + 1) * (2 + 1)),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div 2) + 1) * ((2 + 2) + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1))
A060854: 1 1 1 1 2 1 1 5 5 1 1 14 42 14 1 1
(((loop(\(x,i).(((((((((((((((((x div (2 + 2)) + x) * ((2 + 2) + 1)) + x) + 1) * 2) + 1) + x) + x) div (2 + 1)) + 2) + x) + x) * 2) div (2 + 1)) - 1) + (x * 2)),x,1) * 2) * 2) div (2 + 1))
A037540: 1 9 64 449 3145 22016 154113 1078793 7551552 52860865 370026057 2590182400 18131276801 126918937609 888432563264 6219027942849
(if x <= 0 then 1 else ((((((x + 1) * 2) mod ((((((((x mod (((x mod ((x div (2 + 2)) + 1)) + 1) * ((x mod 2) + 1))) + 1) mod (x + 1)) + 1) + (x mod 2)) * (x + 1)) mod (2 + 1)) + 1)) + 1) - (x mod 2)) + 1))
A067005: 1 1 2 1 2 1 4 1 2 1 2 1 4 2 2 1
((((((((((x mod ((x mod ((((((((((if (x mod 2) <= 0 then (2 + 2) else 1) * x) * (x + 1)) div 2) + 1) div (2 + 1)) * 2) - 1) mod (x + 1)) + 1)) + 1)) + 1) * x) div 2) div 2) + 1) div 2) * 2) + 1) div (x + 1))
A029324: 1 0 0 1 0 0 1 0 0 2 0 1 3 0 1 3
(x - (((if x <= 0 then 1 else (((((x - ((x - ((((((((x - ((((((((x mod 2) * 2) + x) * x) div 2) div 2) + 1) div 2)) * x) div 2) + 1) div 2) * 2) + x) div 2)) div 2)) div 2) + x) div 2) + x)) - (x mod 2)) div 2))
A127685: 0 1 1 1 1 2 1 2 2 3 2 4 3 5 5 7
((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * 2) * 2) + 1) div (2 + 1)) + 1) * 2) div (2 + 1))
A319840: 1 2 2 3 4 3 4 6 6 4 5 8 8 8 5 6
((((x + 1) mod (((1 - ((((((((((((((2 + 2) * (2 + 1)) * (2 + 1)) + 1) div (x + 1)) * 2) + 1) * (x + 1)) div 2) + 1) div 2) + 2) * 2) * (2 + 1))) mod (((2 + 2) * 2) + 1)) + 1)) + 1) div 2)
A296559: 1 0 1 0 1 1 1 0 2 1 1 2 1 3 1 1
((((loop(\(x,i).(if x <= 0 then 1 else ((((((loop(\(x,i).loop(\(x,i).(((2 + 2) + 1) * x),x,1),(i - (x mod (2 + 1))),loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + 1) * (2 + 1)) - 1) + x) * x) * 2)),x,0) * 2) + 1) * 2) - 1)
A145232: 1 5 75025 4611686018427387903 4611686018427387903
(((x * 2) + 1) div (if x <= 0 then 1 else (((((loop(\(x,i).((x + 1) * 2),((((((loop(\(x,i).((((i * 2) + 1) * i) + x),x,0) mod (x + 1)) div 2) + 1) * 2) div (2 + 1)) + (if x <= 0 then 0 else 1)),1) div 2) + 1) div 2) + 1) * 2)))
A279507: 1 0 1 0 2 0 3 1 2 1 5 0 6 1 2 1
(((((if x <= 0 then 1 else ((((loop(\(x,i).(x * 2),x,loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),1)) mod (x + 1)) div 2) + 1) * 2)) - (x mod 2)) div 2) + 1) div 2)
A331410: 0 0 1 0 2 1 1 0 2 2 2 1 2 1 3 0
((((((((loop(\(x,i).(x * 2),x,loop(\(x,i).(loop(\(x,i).((loop(\(x,i).((2 + 1) * x),i,1) + x) + ((x * 2) * 2)),i,1) + (((x * 2) * 2) * 2)),x,1)) - 1) * (x + 1)) div (2 + 1)) + 1) div (2 + 1)) + 1) div 2) + 2)
A180058: 2 6 120 3003
((if x <= 0 then 1 else (x - (((if x <= 0 then 1 else (((((((((loop(\(x,i).(x * x),1,(((x mod ((2 + 2) + 1)) * (((2 + 2) * 2) + 1)) - 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) mod (x + 1)) * 2))) mod (2 + 1))
A220354: 1 1 1 0 1 1 0 2 1 0 0 2 1 0 1 2
(((((((((((((loop(\(x,i).((((2 + 2) * (x + 1)) + 1) * 2),x,loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) div 2) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div (2 + 1))
A100459: 3 11 143 623
loop(\(x,i).(((((((((((((if x <= 0 then 1 else (((((x - (x div ((2 + 2) * (2 + 1)))) div 2) + x) + (x * 2)) * 2)) + 2) * 2) div (2 + 1)) - 1) + (x * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1) + (x * 2)),x,1)
A243670: 1 7 54 418 3236
(x div ((((((((((((((if x <= 0 then 1 else (((if ((x + 1) mod ((x div (2 + 2)) + 1)) <= 0 then 1 else 2) + ((x mod (2 + 1)) div 2)) * 2)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) mod (x + 1)) div 2) + 1) * 2))
A054845: 0 0 1 1 0 2 0 1 1 0 1 1 1 1 0 1
(loop(\(x,i).(((((((((((((((((((((x * 2) * 2) * 2) + 1) div ((if x <= 0 then 0 else 2) + 1)) * 2) + 1) + x) + x) div (2 + 1)) * 2) + 1) + x) + x) * (2 + 1)) div 2) div 2) + 1) div 2) mod 2) + (x * 2)),x,1) + 2)
A282390: 3 5 8 14 27 53 104 206 410 818 1635 3269 6536 13070 26139 52277
(((((((if x <= 0 then 1 else (((((((((((((((x * 2) - ((x * 2) div (((2 + 1) * 2) + 1))) * 2) * 2) + x) + 1) div (2 + 1)) + x) + 1) + x) div 2) + x) div 2) + x) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1)
A315049: 1 5 9 15 20 24 29 33 39 44 49 53 59 64 68 73
(loop(\(x,i).((((((((((((((((((((((x * x) div (2 + 2)) + 1) * (((x + 1) * 2) + 1)) div 2) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) mod 2) + (x * 2)),x,1) div 2)
A329355: 0 1 3 6 12 25 50 101 203 406 813 1627 3254 6508 13017 26034
(((((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (x div (2 - ((x div 2) mod 2)))) div 2) + 1) * 2) * (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) - 1)
A320435: 1 1 1 1 3 1 1 5 4 1 1 9 10 5 1 1
((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 2)) * (2 + 1)) div 2) div 2) div 2) + 1) + 1) * 2) - (2 + 1))
A099608: 1 1 1 1 3 1 1 5 7 1 1 7 19 13 1 1
(((((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) div (2 + 1)) + 1) * (2 + 1)) div 2) * 2) + 1) * 2) * (2 + 1)) - 1) div ((2 + 2) + 1)) div 2)
A171142: 1 1 1 1 4 1 1 5 5 1 1 8 18 8 1 1
(((((((((1 - (((((((((x mod 2) - 2) mod ((((1 - x) * 2) mod (((x div (2 + 2)) + 2) + 2)) - 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)) * (2 + 1)) div 2) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) - 2)
A176261: 1 1 1 1 ~2 1 1 ~2 ~2 1 1 ~11 ~11 ~11 1 1
((loop(\(x,i).((((((((((if x <= 0 then 1 else loop(\(x,i).(x - (if x <= 0 then 1 else (x - ((if x <= 0 then 2 else loop(\(x,i).(x div ((x mod 2) + 1)),x,x)) div 2)))),x,x)) + x) * (x + 1)) div 2) div 2) + 1) div 2) + x) div 2) + 1),1,(x + 1)) div 2) + 1)
A048688: 1 2 2 3 3 3 3 4 4 5 5 5 5 6 5 8
((((loop(\(x,i).(x * 2),x,(if x <= 0 then 1 else ((((((((loop(\(x,i).(((x * 2) - 1) * x),1,loop(\(x,i).(((((i * 2) - 1) * x) * 2) div (i + 1)),x,1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2))) div 2) + 1) div 2) mod (2 + 1))
A141747: 0 1 1 1 2 0 1 0 1 1 2 0 1 0 0 0
(((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x div ((x mod ((2 + 2) + 1)) + 1)) + 2) + 1)) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) * (2 + 1)) div 2) div 2) + 1) * 2) div (2 + 1))
A104382: 1 1 1 1 2 1 1 4 4 1 1 7 12 6 1 1
(((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((x div ((((((x div 2) mod 2) * 2) + 1) * 2) + 1)) + 2)) * (2 + 1)) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A193636: 1 1 1 1 4 1 1 7 10 1 1 10 28 20 1 1
((loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1) + 1) - ((((loop(\(x,i).((2 + 1) * x),x,(loop(\(x,i).(x * 2),x,1) + 1)) + loop(\(x,i).(((2 + 2) + 1) * x),x,1)) + loop(\(x,i).((x * 2) + 1),x,loop(\(x,i).(x * 2),x,1))) + 2) + 1))
A147978: ~5 ~14 ~42 ~98 126 4606 50478 446782 3622206 28040446 211134798 1561328062 11403051486 82538901886 593482158318 4245770823742
(((loop(\(x,i).((x + 1) * 2),x,(if x <= 0 then 1 else (((((((((((loop(\(x,i).((2 + 1) * x),(x - 1),loop(\(x,i).((x + 1) * x),1,loop(\(x,i).(i * x),x,1))) div 2) div 2) div 2) + 1) div 2) + x) div 2) + 1) div 2) + 1) * 2))) div 2) div 2) + 1)
A275904: 1 2 6 36 2048
(((((((x div ((x mod ((x div (if x <= 0 then 1 else (((((if x <= 0 then 1 else (((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * 2)) * 2) - 1) div 2) * 2))) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A329345-A329045: 1 2 2 3 2 3 2 4 4 3 2 5 2 3 6 7
(((loop(\(x,i).(x * 2),x,(1 - (((((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2))) mod (x + 1)) div 2) + 1)
A184441: 1 1 1 1 1 2 1 1 3 2 1 1 2 5 3 1
((((((((((((((((((((((loop(\(x,i).(((loop(\(x,i).(x * 2),x,1) + x) - (x mod 2)) + 1),x,1) div 2) + 1) div 2) * 2) + 1) + x) div 2) * 2) + 1) + x) + x) div (2 + 1)) + 1) + x) div 2) + 1) + x) * 2) + 1) + x) + x) + 2)
A087714: 5 13 19 367
((((((x + 1) div (((((((x mod (((if (x mod ((2 + 2) + 1)) <= 0 then 1 else (((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1))) * 2) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2) + 1) div 2)
A171850: 1 1 1 1 1 1 2 1 1 3 2 1 1 1 4 4
((((((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (if (x - 2) <= 0 then 1 else 2)) + (x div ((2 + 2) + 1))) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * (2 + 1)) div 2) div 2)
A115263: 1 1 1 2 2 2 2 3 3 2 3 4 6 4 3 3
((((((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div 2) + 1)) div 2) * 2) * 2) * 2) div (2 + 1)) * 2) * 2) div (2 + 1)) + 1) * (((2 + 1) * 2) + 1)) div 2) div 2) + 1) * 2) div (2 + 1))
A100754: 1 1 1 1 4 1 1 8 8 1 1 13 29 13 1 1
(((((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) + (((x * 2) + 1) div (((x div (2 + 2)) + 2) + 1))) + 1) * 2) div (2 + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2)
A179004: 1 1 1 2 2 2 2 4 4 2 3 4 5 4 3 4
((((((loop(\(x,i).(((2 + 2) + 1) * x),x,1) + loop(\(x,i).((2 + 1) * x),x,1)) + loop(\(x,i).((x * 2) * 2),x,1)) + loop(\(x,i).((x * 2) * (2 + 1)),x,1)) + loop(\(x,i).((((2 + 1) * 2) + 1) * x),x,1)) + loop(\(x,i).(x * 2),x,1)) + 1)
A001554: 7 28 140 784 4676 29008 184820 1200304 7907396 52666768 353815700 2393325424 16279522916 111239118928 762963987380 5249352196144
((((((((((((((((((((if (x - 1) <= 0 then 1 else ((x - (((((1 - x) * x) div 2) div ((2 + 2) + 1)) - 1)) * 2)) + (x * 2)) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) div 2) + 1) + x) + x) * (x + 1)) div 2) + 1) div 2) div 2) + 1)
A293239: 1 2 4 7 11 15 21 28 35 43 53 64 76 88 102 117
(compr(\x.(((((((((((((((((((((((loop(\(x,i).(x * 2),x,2) mod (x + 1)) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) + 2) * (2 + 1)) div 2) * 2) mod (2 + 1)) - 1),x) + 1)
A333312: 9 15 20 21 24 25 27 28 33 35 36 39 40 44 45 48
(((loop(\(x,i).(((x - (1 - (((((((((((((x div ((x mod ((x mod ((x div ((2 - (x mod 2)) * 2)) + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) + 2) * 2) div (2 + 1)))) div 2) * 2),x,1) div 2) + 1) + 2)
A130788: 3 4 5 6 8 11 15 21 26 30
(((((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((x div ((2 + 2) + 1)) + 1) * 2) * 2) + 1)) div 2) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + 1)
A296405: 1 1 1 1 4 1 1 8 8 1 1 17 24 17 1 1
((((((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * (((((((x div 2) + 1) div 2) + 1) * 2) * 2) + 1)) div 2) div 2) + 1) * (2 + 1)) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A332307: 1 1 1 1 4 1 1 8 8 1 1 14 20 14 1 1
((x - ((x - ((((((((((((((((((((((x mod (2 + 2)) + x) * ((x div (2 + 2)) + 1)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) * 2) * (x + 1)) div 2) + 1) div 2) * 2) + 1) + x) + x) + 2) div (2 + 1)) + 2)) div 2)) div 2)
A328085: 1 1 2 3 5 8 12 18 26 38 52
((((((((((((((loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),2) + 1) div (2 + 1)) + 1) - (x mod 2)) + 1) * ((2 + 2) + 1)) div 2) div 2) + 1) div 2) + 1) * 2) mod (2 + 1)) + 1)
A089280: 1 2 1 2 3 2 1 2 2 3 3 2 3 2 1 2
(((((((((((if x <= 0 then 0 else (((((((((((x div (((if (x mod 2) <= 0 then (2 + 1) else (0 - 2)) mod (x + 1)) + 1)) + 1) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + x) + 2)) + 1) div 2) div 2) + 1) * (x + 1)) div 2) + 1) div 2) + 1) div 2)
A264396: 0 1 1 2 2 3 3 4 5 5 6 8 8 9 12 12
((((((((((((((((((((loop(\(x,i).(x div ((if (x mod (2 + 1)) <= 0 then 2 else 0) + 1)),2,((x * 2) + 1)) + 1) div 2) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) div 2) div 2) + 1) * (2 + 1)) div 2) * (2 + 1)) div 2) div 2) + x) + 2) div 2)
A302779: 1 1 2 3 3 4 5 5 6 6 6 7 8 7 9 10
(((if x <= 0 then 0 else (((((((x div ((x mod (((((((((((x mod ((x mod ((((x div 2) mod 2) + 2) * 2)) + 1)) + 1) mod (x + 1)) div 2) + 1) * (2 + 1)) div 2) * 2) - 1) mod (x + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)) + 1) div 2)
A067148: 0 1 1 1 2 1 2 2 2 1 3 1 3 2 2 1
(((((((((((((((loop(\(x,i).((2 + 1) * x),(((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)),1) div (2 + 1)) + 1) * (2 + 1)) div 2) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) * (2 + 1)) div 2) div 2)
A131235: 1 1 1 1 3 1 1 6 6 1 1 10 26 10 1 1
(((((((x div ((loop(\(x,i).(x * 2),x,((x mod 2) - (((loop(\(x,i).(x * 2),(((((((2 + 2) * 2) mod ((x div 2) + 1)) + 1) div 2) - (x mod 2)) + (if x <= 0 then 0 else 1)),2) + 1) div (2 + 1)) + 1))) mod (x + 1)) + 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1)
A343068: 1 1 1 2 2 1 1 3 2 2 2 2 2 1 2 4
((if x <= 0 then 1 else ((((((((((((((compr(\x.(loop(\(x,i).((x + 1) * 2),x,2) mod (x + 2)),x) + 2) * (compr(\x.((loop(\(x,i).(x * 2),x,2) - 1) mod (x + 2)),x) + 1)) div 2) div 2) + 1) * 2) * 2) div (2 + 1)) + 1) + 2) * 2) div (2 + 1)) - 1) + (x * 2))) + x)
A225227: 1 7 13
A337433: 1 7 13 26 43 62
(((((((((((((((((x div ((((loop(\(x,i).(x * 2),x,((x mod (((x mod 2) + 1) * 2)) + 1)) - (x mod 2)) - 1) mod ((x * 2) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) - 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1)
A331175: 1 1 1 2 1 2 1 3 3 2 1 4 1 2 1 4
((((((((((((((((((((((x div ((x mod ((loop(\(x,i).(x * 2),x,2) mod ((x * 2) + 1)) + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + (x mod 2)) - 1) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2)
A077191: 1 1 1 2 1 2 1 4 2 2 1 5 1 2 1 11
((((((((((((((((((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * ((x div ((x mod ((2 + 2) + 1)) + 1)) + 1)) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2) + 1) * 2) - (2 + 1))
A344527: 1 1 1 1 3 1 1 7 7 1 1 15 25 11 1 1
((((((((if x <= 0 then 1 else ((((((((((((((if x <= 0 then 1 else ((((x - (x div (2 + 2))) div 2) + (x * 2)) * 2)) + x) + x) + 2) * 2) div (2 + 1)) - 1) + (x * 2)) + x) + x) * 2) div (2 + 1)) - 1) + (x * 2))) + x) + x) + 2) + x) + 2) * 2) mod (2 + 1))
A218907: 1 2 0 2 0 1 2 0 2 1 2 0 2 2 1 2
(1 - ((((((((((((((if x <= 0 then 1 else ((((((((((x - loop(\(x,i).(((((x * 2) - 1) * x) div ((x + 2) + 1)) + 1),2,x)) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2)) * (x + 1)) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2))
A017899-A017846: 1 0 0 0 0 1 1 1 1 1 2 3 4 5 6 8
(((((((((((((((((((((((((((x * 2) - ((x * 2) div (((2 + 1) * 2) + 1))) * 2) + 1) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) + x) * 2) + 1) + x) + x) div (2 + 1)) + 2) + x) * 2) div (2 + 1)) + x) + 1) + x) + 2) * 2) div (2 + 1)) - 1)
A191406: 2 5 7 11 13 16 19 21 25 27 30 33 35 39 41 45
(compr(\x.(1 - (((((((((((((((((2 - ((x * 2) mod (((x div (2 + 2)) + 2) + 2))) mod (x + 1)) div (2 + 1)) * ((((x div 2) + 1) div 2) + 1)) + 1) * 2) div (2 + 1)) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2) mod (2 + 1))),(x + 1)) + 1)
A287531: 2 3 4 6 7 10 11 12 14 15 16 17 18 20 21 23
(1 - (((((((x mod (((((((((x div (2 + 1)) + 1) div (((((((x div (2 + 1)) * (x - 2)) mod ((x div 2) + 1)) div 2) * (((x - (x mod ((2 + 2) + 1))) div 2) + 1)) + 1) * 2)) + 1) + (x mod 2)) * 2) + 1) mod (x + 1)) + 2)) + 1) div 2) + 1) div 2) + 1) div 2))
A291955: 1 0 1 0 0 0 0 1 0 ~1 0 0 0 0 0 0
(((((((if x <= 0 then 1 else ((((((x mod (((((((if x <= 0 then 1 else (((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * 2)) - (x mod 2)) div 2) * 2) + 1) mod (x + 1)) + 2)) div 2) + 1) div 2) + 1) * 2)) - (x mod 2)) div 2) mod 2) * 2) + (x mod 2)) + 1)
A171171: 1 2 3 4 1 2 3 2 3 4 3 4 1 4 1 2
(((((((((((((((((((((((((loop(\(x,i).(x * x),1,(((loop(\(x,i).(((((i + 1) * i) div 2) + 1) + x),x,1) - 1) div 2) + 1)) + 1) div 2) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A218025: 0 1 1 1 1 1 1 1 1 1 2 3 5 7 11 15
(((((((((((((((((((((((((((((((loop(\(x,i).(((i mod 2) + x) * 2),(x - 2),1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * (2 + 1)) div 2) + (x mod (2 + 1))) div 2) + 2)
A295569: 2 3 3 3 4 4 3 4 4 3 4 4 3 4 5 5
(compr(\x.(1 - ((((((x div ((((((((((((x div (((((((2 div (((2 + 1) div ((loop(\(x,i).(x div ((x mod 2) + 1)),x,x) div 2) + 1)) + 1)) + 1) + x) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) + x) * 2) - 1) mod (x + 1)) + 1)) + 1) div 2) + 1) * 2) mod (2 + 1))),(x + 1)) + 1)
A087721: 2 3 4 5 6 8 10 11 12 16 20 21 22 23 24 25
(if x <= 0 then 0 else (((((((((((((((((((((((((((((x * x) div loop(\(x,i).(x div (2 - (x mod 2))),x,(x + 1))) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1) - (x mod 2)) + 1) div 2) + 1) * 2) div (2 + 1)) + 1))
A318490: 0 2 2 2 3 2 3 2 3 2 3 2 3 2 3 5
(((((((((((((((((((((((((((((((x div ((x div ((loop(\(x,i).((x * 2) + 1),x,0) mod (x + 1)) + 1)) + 2)) + 1) * (x + 1)) div 2) + 1) div 2) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2) + 1) * 2) * (2 + 1)) - 1) div 2) div 2) + 1) div 2)
A163373: 1 1 1 2 1 2 2 4 4 2 2 4 2 4 4 8
(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((if x <= 0 then 0 else ((loop(\(x,i).(i * x),x,1) div (x + 1)) + x)) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2)
A213002: 0 1 1 1 1 1 1 1 1 1 1 1 1 1 3 39
(((((((if x <= 0 then 1 else (((((((((((((((((((((((((((((((((((((((((((((((((((((((loop(\(x,i).((x * 2) - 1),(x - 1),loop(\(x,i).(x * 2),x,1)) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) div 2) + 1) * 2)) * (x + 1)) div 2) + 1) div 2) * x) div 2)
A069693: 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 300