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listlengths 1
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timestamp[us]date 1999-12-11 03:00:00
2025-04-28 00:58:08
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A005601 | Decimal expansion of proton-to-electron mass ratio. | [
"1",
"8",
"3",
"6",
"1",
"5",
"2",
"6",
"7",
"3"
] | [
"cons",
"nonn",
"nice",
"hard"
] | 42 | 4 | 2 | [
"A003677",
"A005601"
] | [
"M4470"
] | N. J. A. Sloane | 2024-05-14T14:04:54 | oeisdata/seq/A005/A005601.seq | 588036d5f3d6306c7f7645e85f7b939a |
A005602 | Smallest prime beginning a complete Cunningham chain of length n (of the first kind). | [
"13",
"3",
"41",
"509",
"2",
"89",
"1122659",
"19099919",
"85864769",
"26089808579",
"665043081119",
"554688278429",
"4090932431513069",
"95405042230542329",
"90616211958465842219",
"810433818265726529159"
] | [
"nonn"
] | 35 | 1 | 1 | [
"A005384",
"A005385",
"A005602",
"A005603",
"A007700",
"A023272",
"A023302",
"A023330",
"A057331"
] | [
"M4885"
] | N. J. A. Sloane | 2025-02-22T09:56:54 | oeisdata/seq/A005/A005602.seq | cfdc25890886919908b1dbb72b0a65e1 |
A005603 | Smallest prime beginning a complete Cunningham chain (of the second kind) of length n. | [
"11",
"7",
"2",
"2131",
"1531",
"385591",
"16651",
"15514861",
"857095381",
"205528443121",
"1389122693971",
"216857744866621",
"758083947856951",
"107588900851484911",
"69257563144280941",
"3203000719597029781"
] | [
"nonn",
"more"
] | 26 | 1 | 1 | [
"A005382",
"A005383",
"A005602",
"A005603",
"A057326",
"A057327",
"A057328",
"A057329",
"A057330",
"A057331",
"A064812"
] | [
"M4766"
] | N. J. A. Sloane. | 2023-04-03T10:36:09 | oeisdata/seq/A005/A005603.seq | ff0366c83355886794e9b21cd3ef9b3a |
A005604 | a(n) = a(n-1)! + a(n-2)!. | [
"1",
"1",
"2",
"3",
"8",
"40326"
] | [
"nonn",
"easy"
] | 10 | 0 | 3 | [
"A005604",
"A114020"
] | null | N. J. A. Sloane. | 2023-03-03T23:13:14 | oeisdata/seq/A005/A005604.seq | a59d5bfb00e788f546c14912d7aff5ad |
A005605 | a(n) = a(n-1) + (-1)^(n-1) * a(n-2)^2 for n >= 2 with a(0) = 0 and a(1) = 1. | [
"0",
"1",
"1",
"2",
"1",
"5",
"4",
"29",
"13",
"854",
"685",
"730001",
"260776",
"532901720777",
"464897598601",
"283984244007552571082330",
"67854466822576053925129",
"80647050844541158378200602801460469923692154029"
] | [
"nonn",
"easy",
"nice"
] | 34 | 0 | 4 | null | [
"M0176"
] | N. J. A. Sloane | 2019-11-03T22:36:49 | oeisdata/seq/A005/A005605.seq | baa50d5169b45863f203744fbd920aef |
A005606 | Position of first letter of n (in English) in alphabet. | [
"26",
"15",
"20",
"20",
"6",
"6",
"19",
"19",
"5",
"14",
"20",
"5",
"20",
"20",
"6",
"6",
"19",
"19",
"5",
"14",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19",
"19"
] | [
"word",
"nonn",
"nice",
"easy"
] | 31 | 0 | 1 | null | [
"M4958"
] | N. J. A. Sloane | 2023-08-27T19:28:56 | oeisdata/seq/A005/A005606.seq | 54fef6cb4cdd57b8e7120c57d4f4231e |
A005607 | a(n) = (a(n-1) + a(n-2))!. | [
"1",
"1",
"2",
"6",
"40320"
] | [
"nonn",
"easy"
] | 12 | 0 | 3 | null | null | N. J. A. Sloane | 2017-10-04T00:03:00 | oeisdata/seq/A005/A005607.seq | 434afbed014b54953dd2621652b925d5 |
A005608 | Number of Boolean functions realized by cascades of n gates. | [
"729",
"47601",
"3450897",
"252034065",
"18416334609",
"1345741836561",
"98337982792977",
"7185895596690705",
"525098182736403729",
"38370735838630837521",
"2803882049628099984657",
"204889334969084697296145",
"14971970589722490394623249"
] | [
"nonn"
] | 28 | 1 | 1 | [
"A005608",
"A005609",
"A005618"
] | [
"M5476"
] | N. J. A. Sloane | 2017-10-04T00:49:51 | oeisdata/seq/A005/A005608.seq | 9435ada068e4b8bbc95d39524a0ebd2b |
A005609 | Number of Boolean functions realized by cascades of n gates. | [
"64",
"1744",
"48784",
"1365904",
"38245264",
"1070867344",
"29984285584",
"839559996304",
"23507679896464",
"658215037100944",
"18430021038826384",
"516040589087138704",
"14449136494439883664",
"404575821844316742544",
"11328123011640868791184"
] | [
"nonn",
"easy"
] | 46 | 1 | 1 | [
"A005608",
"A005609",
"A005618"
] | [
"M5333"
] | N. J. A. Sloane | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005609.seq | 408f2fede4288726e08c939fab79dde8 |
A005610 | Number of Boolean functions realized by cascades of n gates. | [
"2",
"14",
"86",
"518",
"3110",
"18662",
"111974",
"671846",
"4031078",
"24186470",
"145118822",
"870712934",
"5224277606",
"31345665638",
"188073993830",
"1128443962982",
"6770663777894",
"40623982667366",
"243743896004198",
"1462463376025190"
] | [
"nonn",
"easy"
] | 45 | 1 | 1 | [
"A003464",
"A005610"
] | [
"M4936"
] | N. J. A. Sloane | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005610.seq | e552ebe5b610a22385a4e3c84a960cab |
A005611 | Number of Boolean functions realized by cascades of n gates. | [
"14",
"254",
"65534",
"77575934",
"103901883134",
"139822513851134",
"188194296960699134",
"253301985063859899134",
"340934405511339833019134",
"458884164841017463404219134",
"617639855071600405782329019134",
"831318706997666563130793785019134"
] | [
"nonn"
] | 27 | 1 | 1 | null | [
"M4951"
] | N. J. A. Sloane | 2017-10-04T00:48:01 | oeisdata/seq/A005/A005611.seq | 9477b77752dc783ad9e2a260559b1703 |
A005612 | Number of Boolean functions of n variables that are variously called "unate cascades" or "1-decision list functions" or "read-once threshold functions". | [
"2",
"8",
"64",
"736",
"10624",
"183936",
"3715072",
"85755392",
"2226939904",
"64255903744",
"2039436820480",
"70614849282048",
"2648768014680064",
"106998205418995712",
"4630973410260287488",
"213794635951073787904",
"10486975675879356104704"
] | [
"nonn",
"easy"
] | 56 | 1 | 1 | [
"A005612",
"A005840"
] | [
"M1895"
] | N. J. A. Sloane | 2023-05-02T14:41:29 | oeisdata/seq/A005/A005612.seq | 39f7bb1c8a9db0765c35cb6004e1c9e5 |
A005613 | Cascade-realizable Boolean functions of n variables. | [
"2",
"2",
"10",
"114",
"1842",
"37226",
"902570",
"25530658",
"825345250",
"30016622298",
"1212957186330",
"53916514446482",
"2614488320210258",
"137345270749953610",
"7770078330925987210",
"470977659902530345986",
"30451167044311817097666",
"2091878780326890801618362"
] | [
"nonn"
] | 36 | 0 | 1 | null | [
"M1982"
] | N. J. A. Sloane | 2017-10-04T00:04:28 | oeisdata/seq/A005/A005613.seq | 356be6ac72bc0b317ddf1fda8dccfb97 |
A005614 | The binary complement of the infinite Fibonacci word A003849. Start with 1, apply 0->1, 1->10, iterate, take limit. | [
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0"
] | [
"nonn",
"easy",
"nice"
] | 227 | 0 | 1 | [
"A000045",
"A000201",
"A001030",
"A001468",
"A001911",
"A001950",
"A003622",
"A003842",
"A003849",
"A004641",
"A005206",
"A005614",
"A014565",
"A014675",
"A022342",
"A036299",
"A044432",
"A088462",
"A096270",
"A114986",
"A124841",
"A171676",
"A178992",
"A221150",
"A221151",
"A221152",
"A339051",
"A339052"
] | null | N. J. A. Sloane | 2025-02-16T08:32:29 | oeisdata/seq/A005/A005614.seq | 42adb9905c12ad45b36f6ab4037fb0e8 |
A005615 | Number of non-degenerate fanout-free Boolean functions of n variables using And, Or, Not and Majority gates. | [
"2",
"2",
"8",
"72",
"1152",
"26304",
"773376",
"27792384",
"1180606464",
"57878949888",
"3216287711232",
"199772566437888",
"13715535726379008",
"1031385107381354496",
"84305991898648018944",
"7442748678347943837696",
"705753951277588515127296",
"71539473538360558749745152"
] | [
"nonn"
] | 45 | 0 | 1 | [
"A005615",
"A005742",
"A005743"
] | [
"M1899"
] | N. J. A. Sloane | 2025-04-04T01:19:33 | oeisdata/seq/A005/A005615.seq | 37c90fed1af8e0df9ba5c3051bc67d6f |
A005616 | Number of non-degenerate disjunctively-realizable functions of n variables. | [
"2",
"2",
"10",
"114",
"2154",
"56946",
"1935210",
"80371122",
"3944568042",
"223374129138",
"14335569726570",
"1028242536825906",
"81514988432370666",
"7077578056972377714",
"667946328512863533930",
"68080118128074301929138",
"7453010693997492901047018"
] | [
"nonn"
] | 49 | 0 | 1 | [
"A005616",
"A005738",
"A005739"
] | [
"M1983"
] | N. J. A. Sloane | 2025-04-03T23:05:02 | oeisdata/seq/A005/A005616.seq | abd64b1532e89c3784cf115486ad2fbc |
A005617 | Number of non-degenerate fanout-free Boolean functions of n variables using And, Or, Xor, Not, and Majority gates. | [
"2",
"2",
"10",
"122",
"2554",
"75386",
"2865370",
"133191386",
"7319102842",
"464161640378",
"33365010466330",
"2680736773291418",
"238072159069838266",
"23157446685020355194",
"2448496007747625525850",
"279603850797891071481434",
"34294941015273001096282618"
] | [
"nonn"
] | 41 | 0 | 1 | [
"A005616",
"A005617",
"A005740",
"A005741"
] | [
"M1985"
] | N. J. A. Sloane | 2025-04-04T11:06:14 | oeisdata/seq/A005/A005617.seq | b7ca8f64cfef8f62df71681f005030fe |
A005618 | a(n) = 6*a(n-1) - 8. | [
"4",
"16",
"88",
"520",
"3112",
"18664",
"111976",
"671848",
"4031080",
"24186472",
"145118824",
"870712936",
"5224277608",
"31345665640",
"188073993832",
"1128443962984",
"6770663777896",
"40623982667368",
"243743896004200",
"1462463376025192"
] | [
"nonn",
"easy"
] | 44 | 0 | 1 | [
"A005608",
"A005609",
"A005618"
] | [
"M3528"
] | N. J. A. Sloane | 2024-02-19T01:48:50 | oeisdata/seq/A005/A005618.seq | f6b59d886513afa92b0e2401bc1d3781 |
A005619 | Number of Boolean functions realized by n-input cascades. | [
"16",
"240",
"6448",
"187184",
"5474096",
"160196400",
"4688357168",
"137211717424",
"4015706384176",
"117525666899760",
"3439564830058288",
"100664021209884464",
"2946083492311639856",
"86221550057181718320",
"2523402922444883797808",
"73851169513661744064304"
] | [
"nonn"
] | 40 | 2 | 1 | null | [
"M5020"
] | N. J. A. Sloane | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005619.seq | d795d1340697533c772d295ab1386c1c |
A005620 | Spiral sieve using Fibonacci numbers. | [
"1",
"2",
"4",
"5",
"7",
"17",
"25",
"40",
"63",
"99",
"156",
"249",
"397",
"538",
"1019",
"1637",
"2434",
"3989",
"6847",
"10634",
"17845",
"28827",
"46584",
"75299",
"121741",
"196862",
"318375",
"514947",
"832952",
"1347429",
"2179785",
"3526456",
"5705275",
"9230503",
"14934216"
] | [
"nonn"
] | 23 | 1 | 2 | null | [
"M0967"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005620.seq | 602f2ccd4a0f6d379125e68f246f7875 |
A005621 | Spiral sieve using Fibonacci numbers. | [
"1",
"4",
"6",
"7",
"9",
"13",
"21",
"46",
"71",
"109",
"168",
"265",
"417",
"562",
"1051",
"1677",
"2484",
"4053",
"6601",
"10738",
"17979",
"28997",
"46800",
"75573",
"120697",
"197306",
"318939",
"515665",
"830216",
"1343949",
"2181261",
"3528334",
"5698111",
"9233541",
"14938080"
] | [
"nonn",
"easy"
] | 19 | 1 | 2 | null | [
"M3270"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005621.seq | 4f9883f5baa2e59d54310034a0575fce |
A005622 | Spiral sieve using Fibonacci numbers. | [
"1",
"3",
"6",
"8",
"9",
"17",
"25",
"28",
"79",
"119",
"132",
"281",
"437",
"586",
"1083",
"1557",
"2534",
"4117",
"6683",
"10842",
"18113",
"29167",
"47016",
"74751",
"121045",
"197750",
"317247",
"516383",
"831128",
"1345109",
"2176833",
"3530212",
"5700499",
"9224427",
"14926488"
] | [
"nonn"
] | 18 | 1 | 2 | null | [
"M2518"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005622.seq | 18c0ec0cf131502d21c5372f07b01983 |
A005623 | Spiral sieve using Fibonacci numbers. | [
"1",
"3",
"5",
"6",
"8",
"17",
"25",
"34",
"67",
"103",
"134",
"265",
"405",
"616",
"1031",
"1565",
"2568",
"4205",
"6603",
"11000",
"18069",
"28975",
"46730",
"74855",
"120469",
"197412",
"317819",
"516103",
"830538",
"1343773",
"2177369",
"3527314",
"5699815",
"9228387",
"14926778"
] | [
"nonn"
] | 18 | 1 | 2 | null | [
"M2394"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005623.seq | 2e3feb566a3834a8bb34fb1e15f593dd |
A005624 | Spiral sieve using Fibonacci numbers. | [
"1",
"2",
"5",
"7",
"8",
"13",
"21",
"40",
"75",
"113",
"146",
"281",
"425",
"544",
"1063",
"1605",
"2418",
"4013",
"6685",
"10688",
"18203",
"29145",
"46946",
"75129",
"120817",
"197856",
"318383",
"516821",
"831450",
"1344933",
"2178845",
"3529192",
"5702203",
"9231425",
"14930642"
] | [
"nonn"
] | 18 | 1 | 2 | null | [
"M1327"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005624.seq | 4c34886c0bbe901fe1feda3acc0a35bd |
A005625 | Spiral sieve using Fibonacci numbers. | [
"1",
"2",
"4",
"7",
"9",
"17",
"25",
"46",
"51",
"83",
"158",
"233",
"365",
"568",
"967",
"1645",
"2468",
"4077",
"6767",
"10792",
"17801",
"28635",
"46298",
"75403",
"121165",
"196524",
"318947",
"514667",
"832362",
"1346093",
"2180321",
"3523558",
"5704591",
"9234463",
"14934506"
] | [
"nonn"
] | 18 | 1 | 2 | null | [
"M1034"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005625.seq | 7069257b4ea5117bb0369b6c7119c99e |
A005626 | Spiral sieve using Fibonacci numbers. | [
"1",
"3",
"4",
"6",
"9",
"13",
"21",
"28",
"59",
"93",
"122",
"249",
"385",
"592",
"999",
"1525",
"2518",
"4141",
"6849",
"10896",
"17935",
"28805",
"46514",
"74581",
"121513",
"196968",
"317255",
"515385",
"833274",
"1347253",
"2175893",
"3525436",
"5706979",
"9225349",
"14922914"
] | [
"nonn"
] | 18 | 1 | 2 | null | [
"M2326"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005626.seq | 2296fb0ad0217f541bbb72d5266138b7 |
A005627 | Number of achiral planted trees with n nodes. | [
"1",
"1",
"1",
"2",
"3",
"5",
"8",
"14",
"23",
"41",
"69",
"122",
"208",
"370",
"636",
"1134",
"1963",
"3505",
"6099",
"10908",
"19059",
"34129",
"59836",
"107256",
"188576",
"338322",
"596252",
"1070534",
"1890548",
"3396570",
"6008908",
"10801816",
"19139155",
"34422537",
"61074583",
"109894294",
"195217253"
] | [
"nonn"
] | 42 | 0 | 4 | [
"A000625",
"A005627"
] | [
"M0698"
] | N. J. A. Sloane | 2024-07-07T03:34:17 | oeisdata/seq/A005/A005627.seq | 6e0919a341f12dd449a81391b3049c62 |
A005628 | Number of chiral planted trees with n nodes. | [
"0",
"0",
"0",
"0",
"2",
"6",
"20",
"60",
"176",
"510",
"1484",
"4314",
"12624",
"37126",
"109864",
"326958",
"978528",
"2943384",
"8895792",
"27001378",
"82281216",
"251636434",
"772101086",
"2376186784",
"7333094178",
"22688117658",
"70360646672",
"218678194238",
"681016789056"
] | [
"nonn"
] | 24 | 0 | 5 | [
"A000625",
"A005627",
"A005628"
] | [
"M1641"
] | N. J. A. Sloane. | 2024-07-07T05:59:21 | oeisdata/seq/A005/A005628.seq | 6f9ec9cd19ea76e2161a4824b287da96 |
A005629 | Number of achiral trees with n nodes. | [
"1",
"1",
"1",
"2",
"3",
"5",
"7",
"14",
"21",
"40",
"61",
"118",
"186",
"355",
"567",
"1081",
"1755",
"3325",
"5454",
"10306",
"17070",
"32136",
"53628",
"100704",
"169175",
"316874",
"535267",
"1000524",
"1698322",
"3168500",
"5400908",
"10059823",
"17211368",
"32010736",
"54947147",
"102059572",
"175702378"
] | [
"nonn"
] | 38 | 1 | 4 | [
"A000625",
"A005627",
"A005629"
] | [
"M0677"
] | N. J. A. Sloane | 2025-04-07T12:00:24 | oeisdata/seq/A005/A005629.seq | 784ca2afa511a47dfc4e435359562ad5 |
A005630 | Number of chiral trees with n nodes. | [
"0",
"0",
"0",
"0",
"0",
"0",
"4",
"10",
"34",
"96",
"284",
"782",
"2226",
"6208",
"17560",
"49618",
"141500",
"405104",
"1168316",
"3386538",
"9875232",
"28939944",
"85235762",
"252159572",
"749160544",
"2234378156",
"6688358338",
"20088296030",
"60524845158",
"182893018756"
] | [
"nonn"
] | 30 | 1 | 7 | null | [
"M3399"
] | N. J. A. Sloane | 2025-04-07T11:58:12 | oeisdata/seq/A005/A005630.seq | f7b24e778e629d66f94692f5d3c137eb |
A005631 | Bishops on a 2n+1 X 2n+1 board (see Robinson paper for details). | [
"1",
"2",
"6",
"18",
"60",
"200",
"760",
"2888",
"11856",
"48672",
"215904",
"957728",
"4506304",
"21203072",
"105494400",
"524880000",
"2737670400",
"14279148032",
"77836363264",
"424289980928",
"2405307227136",
"13635728197632",
"80188215392256",
"471566299547648",
"2867649768509440",
"17438513317683200"
] | [
"nonn"
] | 22 | 0 | 2 | [
"A005631",
"A005635",
"A123071"
] | [
"M1628"
] | N. J. A. Sloane | 2022-07-23T19:26:30 | oeisdata/seq/A005/A005631.seq | 85cf02a8deb4462b6d1f8b6a90312199 |
A005632 | Bishops on a 2n+1 X 2n+1 board (see Robinson paper for details). | [
"0",
"0",
"5",
"22",
"258",
"1628",
"18052",
"145976",
"1837272",
"18407664",
"265312848",
"3184567136",
"52020223648",
"728304073664",
"13317701313600",
"213083801827200",
"4314950946864000",
"77669134543011584",
"1725980887361498368",
"34519618313219995136",
"835374767116711506432",
"18378244896208168541184"
] | [
"nonn"
] | 20 | 1 | 3 | null | [
"M3923"
] | N. J. A. Sloane | 2022-07-23T19:26:25 | oeisdata/seq/A005/A005632.seq | 794b54fee655ad10f705402d0dd303c7 |
A005633 | Bishops on an n X n board (see Robinson paper for details). | [
"0",
"1",
"0",
"2",
"2",
"8",
"14",
"36",
"112",
"216",
"928",
"1440",
"8616",
"11520",
"87864",
"100800",
"997952",
"1008000",
"12427904",
"10886400",
"169435936",
"130636800",
"2501216992",
"1676505600",
"39837528576",
"23471078400",
"679494214656",
"348713164800",
"12370158205568",
"5579410636800",
"239109033342848"
] | [
"nonn"
] | 16 | 1 | 4 | null | [
"M0376"
] | N. J. A. Sloane. | 2022-07-23T19:26:06 | oeisdata/seq/A005/A005633.seq | cf9b3b9c8b7b03d8951884808cff906a |
A005634 | Bishops on an n X n board (see Robinson paper for details). | [
"0",
"0",
"1",
"4",
"28",
"85",
"630",
"3096",
"23220",
"123952",
"1036080",
"7230828",
"66349440",
"500721252",
"5080269600",
"45925520096",
"508031496000",
"4919774752448",
"59256847036800",
"656763354386032",
"8532986691801600",
"100525956801641104",
"1405335512577427200",
"18431883446961030912"
] | [
"nonn"
] | 26 | 2 | 4 | null | [
"M3621"
] | N. J. A. Sloane | 2024-01-20T19:18:14 | oeisdata/seq/A005/A005634.seq | eb9930f8cf0d7b225da0026775a98bad |
A005635 | Number of ways of placing n non-attacking bishops on an n X n board so that every square is attacked (or occupied). | [
"1",
"1",
"1",
"1",
"3",
"8",
"36",
"110",
"666",
"3250",
"23436",
"125198",
"1037520",
"7241272",
"66360960",
"500827928",
"5080370400",
"45926666984",
"508032504000",
"4919789029480",
"59256857923200",
"656763542278304",
"8532986822438400",
"100525959568386848",
"1405335514253932800",
"18431883489984091552"
] | [
"easy",
"nonn"
] | 31 | 0 | 5 | [
"A005631",
"A005632",
"A005633",
"A005634",
"A005635",
"A122749",
"A123071",
"A123072",
"A182333"
] | [
"M2761"
] | N. J. A. Sloane | 2022-07-23T19:26:01 | oeisdata/seq/A005/A005635.seq | 0bdd10af274eba7ec3949f573f5f2394 |
A005636 | Number of n-node connected graphs without points of degree 2. | [
"1",
"1",
"0",
"2",
"5",
"32",
"234",
"3638",
"106147",
"6039504",
"633754161",
"120131932774",
"41036773627286",
"25445404202438466",
"28918219616495404542",
"60799423389360189091576",
"238378454962362129667078385"
] | [
"nonn"
] | 18 | 1 | 4 | null | [
"M1548"
] | N. J. A. Sloane. | 2018-01-10T16:10:26 | oeisdata/seq/A005/A005636.seq | f2f63405ebf6466936bf6c4ed07812d4 |
A005637 | Number of n-node graphs without nodes of degree 2. | [
"1",
"1",
"2",
"2",
"5",
"10",
"45",
"284",
"3960",
"110356",
"6153615",
"640014800",
"120777999811",
"41158185726269",
"25486682538903526",
"28943747337743989421",
"60828392582465943631269",
"238439312273287947102629832"
] | [
"nonn"
] | 17 | 0 | 3 | null | [
"M0352"
] | N. J. A. Sloane. | 2018-01-10T16:10:35 | oeisdata/seq/A005/A005637.seq | 34726e214e4a065ae2c1cb1f3379ba23 |
A005638 | Number of unlabeled trivalent (or cubic) graphs with 2n nodes. | [
"1",
"0",
"1",
"2",
"6",
"21",
"94",
"540",
"4207",
"42110",
"516344",
"7373924",
"118573592",
"2103205738",
"40634185402",
"847871397424",
"18987149095005",
"454032821688754",
"11544329612485981",
"310964453836198311",
"8845303172513781271"
] | [
"nonn",
"nice"
] | 53 | 0 | 4 | [
"A000012",
"A000421",
"A002851",
"A005176",
"A005638",
"A008483",
"A033301",
"A051031",
"A059841",
"A165626",
"A165627",
"A165628",
"A165653",
"A180260",
"A185133",
"A185134",
"A185135",
"A185136",
"A185334",
"A185335",
"A185336",
"A275744"
] | [
"M1656"
] | N. J. A. Sloane | 2025-02-16T08:32:29 | oeisdata/seq/A005/A005638.seq | 22e0d031e1b9c6a65b299448ec0e451e |
A005639 | Number of self-converse oriented graphs with n nodes. | [
"1",
"2",
"5",
"18",
"102",
"848",
"12452",
"265759",
"10454008",
"598047612",
"63620448978",
"9974635937844",
"2905660724913768",
"1268590412128132389",
"1023130650177394611897",
"1258149993547327488275562",
"2834863110716120144290954314",
"9900859865505110360978721901778"
] | [
"nonn",
"easy",
"nice"
] | 32 | 1 | 2 | [
"A002785",
"A005639"
] | [
"M1518"
] | N. J. A. Sloane | 2019-08-17T09:56:20 | oeisdata/seq/A005/A005639.seq | 339193d6e5dfbcbb1a63de5ecded70cd |
A005640 | Number of phylogenetic trees with n labels. | [
"1",
"1",
"2",
"8",
"64",
"832",
"15104",
"352256",
"10037248",
"337936384",
"13126565888",
"577818263552",
"28425821618176",
"1545553369366528",
"92034646352592896",
"5956917762776367104",
"416397789920380321792",
"31262503202358260924416",
"2508985620606225641111552",
"214348807882902869374926848",
"19422044917978876510600167424"
] | [
"nonn",
"nice",
"easy"
] | 39 | 0 | 3 | [
"A000311",
"A005172",
"A005263",
"A005640",
"A006351"
] | [
"M1896"
] | N. J. A. Sloane | 2025-03-29T11:18:51 | oeisdata/seq/A005/A005640.seq | 4b7ac1fc49f1a60df024cf191c06d5b5 |
A005641 | Number of 2-diregular digraphs with n nodes. | [
"1",
"3",
"8",
"27",
"131",
"711",
"5055",
"41607",
"389759",
"4065605",
"46612528",
"581713045",
"7846380548",
"113718755478",
"1762208816647",
"29073392136390",
"508777045979418"
] | [
"nonn"
] | 26 | 2 | 2 | [
"A005641",
"A005642"
] | [
"M2757"
] | N. J. A. Sloane | 2019-05-12T18:22:08 | oeisdata/seq/A005/A005641.seq | 0c152a3e438c9a353e400bb9dfd0d095 |
A005642 | Number of 2-diregular connected digraphs with n nodes. | [
"1",
"3",
"7",
"24",
"117",
"663",
"4824",
"40367",
"381554",
"4001849",
"46043780",
"576018785",
"7783281188",
"112953364381",
"1752128923245",
"28930230194371",
"506596534953769"
] | [
"nonn"
] | 24 | 2 | 2 | [
"A005641",
"A005642",
"A123544",
"A306892"
] | [
"M2689"
] | N. J. A. Sloane | 2022-05-12T17:12:24 | oeisdata/seq/A005/A005642.seq | c368a6a5e367971698cc04b2b5a78336 |
A005643 | Number of labeled irreducible 2-connected graphs with n edges. | [
"1",
"26",
"1858",
"236856",
"53458832",
"21494404400",
"15580475076986",
"20666605559464968",
"50987322515860980236",
"237747564913232367202656",
"2125708395579372100915553094"
] | [
"nonn"
] | 12 | 4 | 2 | [
"A005643",
"A054597"
] | [
"M5191"
] | N. J. A. Sloane. | 2018-12-01T10:13:34 | oeisdata/seq/A005/A005643.seq | e783e2627c9701a76d6e4605c2ff361f |
A005644 | Number of labeled 3-connected graphs with n nodes. | [
"1",
"26",
"1768",
"225096",
"51725352",
"21132802544",
"15463799747936",
"20604021770403328",
"50928019401158515328",
"237644423948928994197504",
"2125373296900166452199861760",
"36884133903194627014531723872256"
] | [
"nonn"
] | 16 | 4 | 2 | [
"A005644",
"A123542"
] | [
"M5190"
] | N. J. A. Sloane. | 2018-12-25T22:35:58 | oeisdata/seq/A005/A005644.seq | c8580e7321ecafa533fa745a48ceede1 |
A005645 | Number of sensed 3-connected planar maps with n edges. | [
"1",
"0",
"1",
"2",
"3",
"4",
"15",
"32",
"89",
"266",
"797",
"2496",
"8012",
"26028",
"85888",
"286608",
"965216",
"3278776",
"11221548",
"38665192",
"134050521",
"467382224",
"1638080277",
"5768886048",
"20407622631",
"72494277840",
"258527335373",
"925322077852",
"3323258053528",
"11973883092034",
"43273374700200",
"156836969693756",
"569967330200576",
"2076647113454878",
"7584534277720818",
"27764845224462192",
"101862027752012402",
"374484866509396780",
"1379489908513460150"
] | [
"nonn"
] | 33 | 6 | 4 | [
"A002840",
"A005645",
"A239893"
] | [
"M0599"
] | N. J. A. Sloane | 2021-03-31T04:55:47 | oeisdata/seq/A005/A005645.seq | f7264aeced0e8f0162283141c24afef6 |
A005646 | Number of classifications of n elements. | [
"1",
"1",
"1",
"3",
"6",
"26",
"122",
"1015",
"11847",
"208914",
"5236991",
"184321511"
] | [
"nonn",
"nice",
"more"
] | 21 | 1 | 4 | [
"A000055",
"A005646",
"A171872",
"A171873"
] | [
"M2600"
] | N. J. A. Sloane | 2022-06-17T14:45:32 | oeisdata/seq/A005/A005646.seq | 30293732dc4ab5ef6b270c3d0e221c13 |
A005647 | Salié numbers. | [
"1",
"1",
"3",
"19",
"217",
"3961",
"105963",
"3908059",
"190065457",
"11785687921",
"907546301523",
"84965187064099",
"9504085749177097",
"1251854782837499881",
"191781185418766714683",
"33810804270120276636139",
"6796689405759438360407137",
"1545327493049348356667631841"
] | [
"nonn",
"easy",
"nice"
] | 46 | 0 | 3 | [
"A000795",
"A000982",
"A005647"
] | [
"M3066"
] | Simon Plouffe, N. J. A. Sloane | 2024-12-28T23:20:05 | oeisdata/seq/A005/A005647.seq | 08d97c18fedce66f30de5ad5043d63f6 |
A005648 | Number of 2n-bead black-white reversible necklaces with n black beads. | [
"1",
"1",
"2",
"3",
"8",
"16",
"50",
"133",
"440",
"1387",
"4752",
"16159",
"56822",
"200474",
"718146",
"2587018",
"9398520",
"34324174",
"126068558",
"465093571",
"1723176308",
"6407924300",
"23910576230",
"89494164973",
"335913918902",
"1264107416466"
] | [
"nonn",
"nice",
"easy"
] | 68 | 0 | 3 | [
"A000984",
"A003239",
"A005648"
] | [
"M0878"
] | N. J. A. Sloane | 2020-07-03T06:23:11 | oeisdata/seq/A005/A005648.seq | 2994612630f2996c3da4f6929312ce3c |
A005649 | Expansion of e.g.f. (2 - e^x)^(-2). | [
"1",
"2",
"8",
"44",
"308",
"2612",
"25988",
"296564",
"3816548",
"54667412",
"862440068",
"14857100084",
"277474957988",
"5584100659412",
"120462266974148",
"2772968936479604",
"67843210855558628",
"1757952715142990612",
"48093560991292628228",
"1385244691781856307124"
] | [
"nonn",
"easy",
"nice"
] | 122 | 0 | 2 | [
"A000110",
"A000670",
"A003242",
"A005649",
"A008277",
"A052841",
"A055932",
"A083410",
"A089677",
"A106356",
"A124762",
"A238279",
"A238424",
"A317081",
"A333381",
"A333382",
"A380977"
] | [
"M1866"
] | N. J. A. Sloane, Simon Plouffe | 2025-02-28T10:02:37 | oeisdata/seq/A005/A005649.seq | 3cb32fe4683eafe1fa05637a804a1297 |
A005650 | Number of "magic squares" of order n (see comment line for exact definition). | [
"1",
"1",
"3",
"7",
"47",
"207",
"2249",
"14501",
"216273",
"1830449",
"34662523",
"362983263",
"8330310559",
"103938238111",
"2801976629841",
"40574514114061",
"1256354802202337",
"20708839411614753",
"724160187180691379",
"13386284447024070647"
] | [
"nonn",
"nice",
"easy"
] | 31 | 0 | 3 | null | [
"M2704"
] | N. J. A. Sloane, Simon Plouffe | 2017-10-03T01:31:23 | oeisdata/seq/A005/A005650.seq | 003dd6aba25e05464d94839481a5d665 |
A005651 | Sum of multinomial coefficients (n_1+n_2+...)!/(n_1!*n_2!*...) where (n_1, n_2, ...) runs over all integer partitions of n. | [
"1",
"1",
"3",
"10",
"47",
"246",
"1602",
"11481",
"95503",
"871030",
"8879558",
"98329551",
"1191578522",
"15543026747",
"218668538441",
"3285749117475",
"52700813279423",
"896697825211142",
"16160442591627990",
"307183340680888755",
"6147451460222703502",
"129125045333789172825",
"2841626597871149750951"
] | [
"nonn",
"easy",
"nice"
] | 137 | 0 | 3 | [
"A000041",
"A000110",
"A000258",
"A000670",
"A005651",
"A007837",
"A008277",
"A008480",
"A036038",
"A140585",
"A178682",
"A212855",
"A226873",
"A226874",
"A247551",
"A261719",
"A262071",
"A300335",
"A309951",
"A309973",
"A318762",
"A327801",
"A327803"
] | [
"M2870"
] | Simon Plouffe | 2023-10-27T19:48:24 | oeisdata/seq/A005/A005651.seq | 9fa16d99ce952cf4f958759af6fd6a56 |
A005652 | Lexicographically least increasing sequence, starting with 1, such that the sum of 2 distinct terms is never a Fibonacci number. | [
"1",
"3",
"6",
"8",
"9",
"11",
"14",
"16",
"17",
"19",
"21",
"22",
"24",
"27",
"29",
"30",
"32",
"35",
"37",
"40",
"42",
"43",
"45",
"48",
"50",
"51",
"53",
"55",
"56",
"58",
"61",
"63",
"64",
"66",
"69",
"71",
"74",
"76",
"77",
"79",
"82",
"84",
"85",
"87",
"90",
"92",
"95",
"97",
"98",
"100",
"103",
"105",
"106",
"108",
"110",
"111",
"113",
"116",
"118",
"119",
"121",
"124",
"126",
"129",
"131"
] | [
"nonn",
"easy",
"nice"
] | 77 | 1 | 2 | [
"A005652",
"A005653",
"A078588",
"A279934"
] | [
"M2517"
] | N. J. A. Sloane, Simon Plouffe | 2024-08-06T05:25:54 | oeisdata/seq/A005/A005652.seq | 351a727706824e4cb612813fa7b64371 |
A005653 | Lexicographically least increasing sequence, starting with 2, such that the sum of two distinct terms of the sequence is never a Fibonacci number. | [
"2",
"4",
"5",
"7",
"10",
"12",
"13",
"15",
"18",
"20",
"23",
"25",
"26",
"28",
"31",
"33",
"34",
"36",
"38",
"39",
"41",
"44",
"46",
"47",
"49",
"52",
"54",
"57",
"59",
"60",
"62",
"65",
"67",
"68",
"70",
"72",
"73",
"75",
"78",
"80",
"81",
"83",
"86",
"88",
"89",
"91",
"93",
"94",
"96",
"99",
"101",
"102",
"104",
"107",
"109",
"112",
"114",
"115",
"117",
"120",
"122",
"123",
"125",
"127",
"128"
] | [
"nonn",
"easy"
] | 54 | 1 | 1 | [
"A005652",
"A005653",
"A078588"
] | [
"M0965"
] | Simon Plouffe and N. J. A. Sloane | 2024-08-06T05:26:50 | oeisdata/seq/A005/A005653.seq | ac6c68a0cd9bdd772043c2cd2067a8d3 |
A005654 | Number of bracelets (turn over necklaces) with n red, 1 pink and n-1 blue beads; also reversible strings with n red and n-1 blue beads; also next-to-central column in Losanitsch's triangle A034851. | [
"1",
"2",
"6",
"19",
"66",
"236",
"868",
"3235",
"12190",
"46252",
"176484",
"676270",
"2600612",
"10030008",
"38781096",
"150273315",
"583407990",
"2268795980",
"8836340260",
"34461678394",
"134564560988",
"526024917288",
"2058358034616",
"8061901596814",
"31602652961516",
"123979635837176",
"486734861612328"
] | [
"nonn",
"easy",
"nice"
] | 62 | 1 | 2 | [
"A005654",
"A034851"
] | [
"M1640"
] | N. J. A. Sloane | 2022-09-08T08:44:33 | oeisdata/seq/A005/A005654.seq | 2b6ad5710be885f3c684d8fcc0be2067 |
A005655 | Number of board configurations in Mu Torere (for one player). | [
"1",
"3",
"6",
"15",
"46",
"148",
"522",
"1869",
"6910",
"25767",
"97256",
"369127",
"1409362",
"5401698",
"20778162",
"80149210",
"309945150",
"1201140154",
"4663660518",
"18137774091",
"70646533096",
"275537046276",
"1075960410806",
"4206210234205",
"16459717112530",
"64469413339498",
"252727724406852"
] | [
"nonn",
"easy",
"nice"
] | 41 | 0 | 2 | [
"A000984",
"A005648",
"A005654",
"A005655"
] | [
"M2590"
] | N. J. A. Sloane | 2022-06-17T14:45:20 | oeisdata/seq/A005/A005655.seq | 2913d84f880c164431a2e60eed17c0f8 |
A005656 | Number of bracelets (turn over necklaces) with n red, 1 pink and n - 3 blue beads; also reversible strings with n red and n-3 blue beads. | [
"0",
"0",
"1",
"3",
"12",
"44",
"170",
"651",
"2520",
"9752",
"37854",
"147070",
"572264",
"2229096",
"8692788",
"33933459",
"132594480",
"518584880",
"2029976630",
"7952706234",
"31179618184",
"122331419080",
"480283635468",
"1886828198398"
] | [
"nonn"
] | 44 | 1 | 4 | [
"A005656",
"A034851"
] | [
"M2920"
] | N. J. A. Sloane | 2022-09-08T08:44:33 | oeisdata/seq/A005/A005656.seq | 740b3c51f8ad83e17fbadae95b82db7c |
A005657 | a(n) = floor( tan(n)^2 ). | [
"0",
"2",
"4",
"0",
"1",
"11",
"0",
"0",
"46",
"0",
"0",
"51053",
"0",
"0",
"52",
"0",
"0",
"12",
"1",
"0",
"5",
"2",
"0",
"2",
"4",
"0",
"1",
"10",
"0",
"0",
"41",
"0",
"0",
"5672",
"0",
"0",
"60",
"0",
"0",
"13",
"1",
"0",
"5",
"2",
"0",
"2",
"4",
"0",
"1",
"10",
"0",
"0",
"36",
"0",
"0",
"2041",
"0",
"0",
"69",
"0",
"0",
"14",
"1",
"0",
"5",
"2",
"0",
"2",
"4",
"0",
"1",
"9",
"0",
"0",
"32",
"0",
"0",
"1041",
"0",
"0",
"81",
"0",
"0",
"15",
"1",
"0",
"5",
"2",
"0",
"2",
"3",
"0",
"1",
"8",
"0",
"0",
"29",
"0",
"0",
"629"
] | [
"nonn",
"easy"
] | 26 | 0 | 2 | [
"A000503",
"A005657",
"A005699"
] | null | N. J. A. Sloane | 2024-02-28T08:08:10 | oeisdata/seq/A005/A005657.seq | a1391e8b288676d2152660f51295ed24 |
A005658 | If n appears so do 2n, 3n+2, 6n+3. | [
"1",
"2",
"4",
"5",
"8",
"9",
"10",
"14",
"15",
"16",
"17",
"18",
"20",
"26",
"27",
"28",
"29",
"30",
"32",
"33",
"34",
"36",
"40",
"44",
"47",
"50",
"51",
"52",
"53",
"54",
"56",
"57",
"58",
"60",
"62",
"63",
"64",
"66",
"68",
"72",
"80",
"83",
"86",
"87",
"88",
"89",
"92",
"93",
"94",
"98",
"99",
"100",
"101",
"102",
"104",
"105",
"106",
"108",
"110",
"111",
"112",
"114",
"116",
"120",
"122",
"123"
] | [
"nonn",
"easy",
"nice",
"changed"
] | 52 | 1 | 2 | [
"A002977",
"A005658",
"A185661"
] | [
"M0969"
] | N. J. A. Sloane | 2025-04-27T14:48:38 | oeisdata/seq/A005/A005658.seq | 8b7197726364f41c68d73fd9fa9c3709 |
A005659 | If k appears so do 2k-2 and 3k-3. (duplicates omitted.) | [
"4",
"6",
"9",
"10",
"15",
"16",
"18",
"24",
"27",
"28",
"30",
"34",
"42",
"45",
"46",
"51",
"52",
"54",
"58",
"66",
"69",
"78",
"81",
"82",
"87",
"88",
"90",
"99",
"100",
"102",
"106",
"114",
"123",
"130",
"132",
"135",
"136",
"150",
"153",
"154",
"159",
"160",
"162",
"171",
"172",
"174",
"178",
"195",
"196",
"198",
"202",
"204",
"210",
"226",
"231",
"240",
"243",
"244",
"258"
] | [
"nonn",
"easy"
] | 34 | 1 | 1 | [
"A005659",
"A005661"
] | [
"M3275"
] | N. J. A. Sloane | 2025-03-21T16:16:43 | oeisdata/seq/A005/A005659.seq | b749acb823bd3360e4faa5826831b63b |
A005660 | If k appears so do 2k+2 and 3k+3. (duplicates omitted.) | [
"3",
"8",
"12",
"18",
"26",
"27",
"38",
"39",
"54",
"56",
"57",
"78",
"80",
"81",
"84",
"110",
"114",
"116",
"117",
"120",
"158",
"162",
"164",
"165",
"170",
"171",
"174",
"222",
"230",
"234",
"236",
"237",
"242",
"243",
"246",
"255",
"318",
"326",
"330",
"332",
"333",
"342",
"344",
"345",
"350",
"351",
"354",
"363",
"446",
"462",
"470",
"474",
"476",
"477",
"486"
] | [
"nonn",
"easy"
] | 37 | 1 | 1 | [
"A005660",
"A005662"
] | [
"M2716"
] | N. J. A. Sloane | 2024-02-29T10:49:40 | oeisdata/seq/A005/A005660.seq | 32dfdbcdc178913f11350596e0e0a68e |
A005661 | k in S implies 2k-2, 3k-3 in S. | [
"5",
"8",
"12",
"14",
"21",
"22",
"26",
"33",
"39",
"40",
"42",
"50",
"60",
"63",
"64",
"75",
"76",
"78",
"82",
"96",
"98",
"114",
"117",
"118",
"123",
"124",
"126",
"147",
"148",
"150",
"154",
"162",
"177",
"186",
"189",
"190",
"194",
"222",
"225",
"226",
"231",
"232",
"234",
"243",
"244",
"246",
"250",
"285",
"291",
"292",
"294",
"298",
"306",
"322",
"339",
"348",
"351"
] | [
"nonn"
] | 36 | 1 | 1 | [
"A005659",
"A005661"
] | [
"M3779"
] | N. J. A. Sloane | 2024-03-01T09:35:52 | oeisdata/seq/A005/A005661.seq | 1252a085a804dd904c6070d3e70d8e92 |
A005662 | Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.) | [
"4",
"10",
"15",
"22",
"32",
"33",
"46",
"48",
"66",
"68",
"69",
"94",
"98",
"99",
"102",
"134",
"138",
"140",
"141",
"147",
"190",
"198",
"200",
"201",
"206",
"207",
"210",
"270",
"278",
"282",
"284",
"285",
"296",
"297",
"300",
"309",
"382",
"398",
"402",
"404",
"405",
"414",
"416",
"417",
"422",
"423",
"426",
"444",
"542",
"558",
"566",
"570",
"572",
"573",
"594"
] | [
"nonn",
"easy"
] | 38 | 1 | 1 | [
"A005660",
"A005662"
] | [
"M3375"
] | N. J. A. Sloane | 2024-02-29T10:49:33 | oeisdata/seq/A005/A005662.seq | 87e25e5e6b482becb494829494e603f7 |
A005663 | Numerators of convergents to log_2(3) = log(3)/log(2). | [
"1",
"2",
"3",
"8",
"19",
"65",
"84",
"485",
"1054",
"24727",
"50508",
"125743",
"176251",
"301994",
"16785921",
"17087915",
"85137581",
"272500658",
"357638239",
"630138897",
"9809721694",
"10439860591",
"103768467013",
"217976794617",
"1193652440098",
"8573543875303"
] | [
"frac",
"easy",
"nonn"
] | 37 | 0 | 2 | [
"A005663",
"A005664",
"A020857",
"A028507"
] | [
"M0883"
] | N. J. A. Sloane | 2017-10-06T22:04:58 | oeisdata/seq/A005/A005663.seq | 3adc0bc63d92c3e03a8955bc3ebf3491 |
A005664 | Denominators of convergents to log_2 3. | [
"1",
"1",
"2",
"5",
"12",
"41",
"53",
"306",
"665",
"15601",
"31867",
"79335",
"111202",
"190537",
"10590737",
"10781274",
"53715833",
"171928773",
"225644606",
"397573379",
"6189245291",
"6586818670",
"65470613321",
"137528045312",
"753110839881",
"5409303924479",
"6162414764360"
] | [
"nonn",
"frac",
"easy"
] | 43 | 0 | 3 | [
"A005663",
"A005664",
"A020857",
"A028507"
] | [
"M1428"
] | N. J. A. Sloane, R. K. Guy | 2023-09-25T14:41:48 | oeisdata/seq/A005/A005664.seq | b3066a1cd67eaf7efb13cfa0b1cd1de8 |
A005665 | Minimal number of moves for the cyclic variant of the Towers of Hanoi for 3 pegs and n disks, with the final peg one step away. | [
"0",
"1",
"5",
"15",
"43",
"119",
"327",
"895",
"2447",
"6687",
"18271",
"49919",
"136383",
"372607",
"1017983",
"2781183",
"7598335",
"20759039",
"56714751",
"154947583",
"423324671",
"1156544511",
"3159738367",
"8632565759",
"23584608255",
"64434348031",
"176037912575",
"480944521215",
"1313964867583",
"3589818777599",
"9807567290367"
] | [
"nonn",
"nice",
"easy"
] | 100 | 0 | 3 | [
"A005665",
"A005666",
"A007664",
"A007665",
"A026150",
"A292764",
"A338024",
"A338089"
] | [
"M3857"
] | N. J. A. Sloane | 2024-11-01T20:33:12 | oeisdata/seq/A005/A005665.seq | 0fb202a6130183d93aff58d6d243e235 |
A005666 | Minimal number of moves for the cyclic variant of the Towers of Hanoi for 3 pegs and n disks, with the final peg two steps away. | [
"0",
"2",
"7",
"21",
"59",
"163",
"447",
"1223",
"3343",
"9135",
"24959",
"68191",
"186303",
"508991",
"1390591",
"3799167",
"10379519",
"28357375",
"77473791",
"211662335",
"578272255",
"1579869183",
"4316282879",
"11792304127",
"32217174015",
"88018956287",
"240472260607",
"656982433791",
"1794909388799"
] | [
"nonn",
"nice",
"easy"
] | 79 | 0 | 2 | [
"A005665",
"A005666",
"A052945",
"A292764",
"A338024",
"A338089"
] | [
"M1755"
] | N. J. A. Sloane | 2025-04-11T16:20:11 | oeisdata/seq/A005/A005666.seq | bec4b53314e81040fc95a3af080c79aa |
A005667 | Numerators of continued fraction convergents to sqrt(10). | [
"1",
"3",
"19",
"117",
"721",
"4443",
"27379",
"168717",
"1039681",
"6406803",
"39480499",
"243289797",
"1499219281",
"9238605483",
"56930852179",
"350823718557",
"2161873163521",
"13322062699683",
"82094249361619",
"505887558869397",
"3117419602578001",
"19210405174337403",
"118379850648602419"
] | [
"nonn",
"frac",
"easy"
] | 91 | 0 | 2 | [
"A005667",
"A005668",
"A010467",
"A040006",
"A084134"
] | [
"M3056"
] | N. J. A. Sloane, R. K. Guy | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005667.seq | fa2fb72ff7aa00a3ace4ed85ba010da9 |
A005668 | Denominators of continued fraction convergents to sqrt(10). | [
"0",
"1",
"6",
"37",
"228",
"1405",
"8658",
"53353",
"328776",
"2026009",
"12484830",
"76934989",
"474094764",
"2921503573",
"18003116202",
"110940200785",
"683644320912",
"4212806126257",
"25960481078454",
"159975692596981",
"985814636660340",
"6074863512559021",
"37434995712014466",
"230684837784645817"
] | [
"nonn",
"cofr",
"frac",
"easy"
] | 166 | 0 | 3 | [
"A000045",
"A000129",
"A001076",
"A005667",
"A005668",
"A006190",
"A052918",
"A073133",
"A172236",
"A175185",
"A243399",
"A352361"
] | [
"M4227"
] | N. J. A. Sloane, Simon Plouffe, R. K. Guy | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005668.seq | c5dca028c1f021e200a946933af54bfb |
A005669 | Indices of primes where largest gap occurs. | [
"1",
"2",
"4",
"9",
"24",
"30",
"99",
"154",
"189",
"217",
"1183",
"1831",
"2225",
"3385",
"14357",
"30802",
"31545",
"40933",
"103520",
"104071",
"149689",
"325852",
"1094421",
"1319945",
"2850174",
"6957876",
"10539432",
"10655462",
"20684332",
"23163298",
"64955634",
"72507380",
"112228683",
"182837804",
"203615628",
"486570087"
] | [
"nonn"
] | 92 | 1 | 2 | [
"A000101",
"A002386",
"A005250",
"A005669"
] | [
"M1193"
] | N. J. A. Sloane | 2024-09-10T03:50:41 | oeisdata/seq/A005/A005669.seq | 5f2679bfbc1e09385998312ecd38537a |
A005670 | Mrs. Perkins's quilt: smallest coprime dissection of n X n square. | [
"1",
"4",
"6",
"7",
"8",
"9",
"9",
"10",
"10",
"11",
"11",
"11",
"11",
"12",
"12",
"12",
"12",
"13",
"13",
"13",
"13",
"13",
"13",
"14",
"14",
"14",
"14",
"14",
"14",
"15",
"15",
"15",
"15",
"15",
"15",
"15",
"15",
"15",
"15",
"16",
"15",
"16",
"16",
"16",
"16",
"16",
"16",
"16",
"16",
"16",
"16",
"16",
"16",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17"
] | [
"nonn",
"nice"
] | 60 | 1 | 2 | [
"A005670",
"A005842",
"A089046",
"A089047"
] | [
"M3267"
] | N. J. A. Sloane | 2025-02-16T08:32:29 | oeisdata/seq/A005/A005670.seq | 88195c66cf62a818834eee4196155451 |
A005671 | Nearest integer to tan(n)^2. | [
"0",
"2",
"5",
"0",
"1",
"11",
"0",
"1",
"46",
"0",
"0",
"51054",
"0",
"0",
"52",
"1",
"0",
"12",
"1",
"0",
"5",
"2",
"0",
"3",
"5",
"0",
"1",
"11",
"0",
"1",
"41",
"0",
"0",
"5672",
"0",
"0",
"60",
"1",
"0",
"13",
"1",
"0",
"5",
"2",
"0",
"3",
"4",
"0",
"1",
"10",
"0",
"1",
"37",
"0",
"0",
"2042",
"0",
"0",
"69",
"1",
"0",
"14",
"1",
"0",
"6",
"2",
"0",
"3",
"4",
"0",
"1"
] | [
"nonn"
] | 8 | 0 | 2 | null | null | N. J. A. Sloane. | 2017-10-06T22:07:16 | oeisdata/seq/A005/A005671.seq | 1b6eb8ae915bf1dfe97d89941d5a394c |
A005672 | a(n) = Fibonacci(n+1) - 2^floor(n/2). | [
"0",
"0",
"0",
"1",
"1",
"4",
"5",
"13",
"18",
"39",
"57",
"112",
"169",
"313",
"482",
"859",
"1341",
"2328",
"3669",
"6253",
"9922",
"16687",
"26609",
"44320",
"70929",
"117297",
"188226",
"309619",
"497845",
"815656",
"1313501",
"2145541"
] | [
"nonn",
"easy"
] | 26 | 0 | 6 | [
"A005672",
"A054143"
] | [
"M3253"
] | N. J. A. Sloane | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005672.seq | a3c86af3e663e52656d24c7e394eee77 |
A005673 | F(n+1)-2^[ (n+1)/2 ] -2^[ n/2 ] +1. | [
"0",
"0",
"0",
"0",
"1",
"2",
"6",
"11",
"24",
"42",
"81",
"138",
"250",
"419",
"732",
"1214",
"2073",
"3414",
"5742",
"9411",
"15664",
"25586",
"42273",
"68882",
"113202",
"184131",
"301428",
"489654",
"799273",
"1297118",
"2112774"
] | [
"nonn"
] | 28 | 0 | 6 | null | [
"M1578"
] | N. J. A. Sloane. | 2024-04-22T10:44:41 | oeisdata/seq/A005/A005673.seq | 93eca71c8d35991b26ce1ce993622db7 |
A005674 | a(n) = 2^(n-1) + 2^[ n/2 ] + 2^[ (n-1)/2 ] - F(n+3). | [
"0",
"0",
"0",
"0",
"1",
"3",
"10",
"25",
"63",
"144",
"327",
"711",
"1534",
"3237",
"6787",
"14056",
"28971",
"59283",
"120894",
"245457",
"497167",
"1004256",
"2025199",
"4077007",
"8198334",
"16467597",
"33052491",
"66293208"
] | [
"nonn",
"easy"
] | 33 | 0 | 6 | [
"A005674",
"A027558",
"A079289"
] | [
"M2837"
] | N. J. A. Sloane. | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005674.seq | 3b9868d6e89ff105516eb511e4f9e70a |
A005675 | Deficit in peeling rinds. | [
"1",
"2",
"8",
"18",
"55",
"138",
"470",
"1164",
"4055",
"10140",
"35609",
"89782",
"316513",
"803040"
] | [
"nonn",
"more"
] | 17 | 1 | 2 | null | [
"M1829"
] | N. J. A. Sloane, R. K. Guy | 2021-08-15T05:09:16 | oeisdata/seq/A005/A005675.seq | 4c11cbf87ccab40f41cfdf6c894f9755 |
A005676 | a(n) = Sum_{k=0..n} C(n-k,4*k). | [
"1",
"1",
"1",
"1",
"1",
"2",
"6",
"16",
"36",
"71",
"128",
"220",
"376",
"661",
"1211",
"2290",
"4382",
"8347",
"15706",
"29191",
"53824",
"99009",
"182497",
"337745",
"627401",
"1167937",
"2174834",
"4046070",
"7517368",
"13951852",
"25880583",
"48009456",
"89090436",
"165392856",
"307137901"
] | [
"nonn",
"easy"
] | 54 | 0 | 6 | [
"A005676",
"A306680"
] | [
"M1610"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005676.seq | 6e34b3cdb8bc2f7e494e6c7c3e37d732 |
A005677 | Maximal size of equidistant permutation array R(n,1). | [
"1",
"1",
"2",
"3",
"5",
"10",
"13",
"16"
] | [
"nonn",
"hard",
"nice"
] | 16 | 1 | 3 | [
"A005677",
"A013578"
] | [
"M0722"
] | N. J. A. Sloane | 2019-02-21T04:15:10 | oeisdata/seq/A005/A005677.seq | 08c79968005b0967c74cb4fe2f1e0d39 |
A005678 | A squarefree ternary sequence. | [
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2"
] | [
"nonn"
] | 25 | 1 | 2 | null | [
"M0134"
] | N. J. A. Sloane | 2024-12-23T11:33:00 | oeisdata/seq/A005/A005678.seq | 08dd0bd39a7268d5347af42f626216fb |
A005679 | A squarefree (or Thue-Morse) ternary sequence: closed under a->abc, b->ac, c->b. | [
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"1",
"2",
"3",
"2",
"1",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3"
] | [
"nonn",
"easy",
"nice"
] | 42 | 1 | 1 | [
"A005679",
"A005681"
] | [
"M0140"
] | N. J. A. Sloane | 2024-02-18T03:53:49 | oeisdata/seq/A005/A005679.seq | 5e563d4e482369bbe7921dc8570d6736 |
A005680 | A squarefree ternary sequence. | [
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"2",
"3",
"1",
"2",
"1",
"3"
] | [
"nonn"
] | 16 | 1 | 2 | [
"A005680",
"A036582"
] | [
"M0403"
] | N. J. A. Sloane | 2020-11-09T00:01:02 | oeisdata/seq/A005/A005680.seq | aa6238f8d52cb7afe99f3aeca15eef98 |
A005681 | A squarefree quaternary sequence. | [
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"4",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"1",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"4",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"1",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"4",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"1",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"4",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"1",
"2",
"4",
"3",
"2",
"3",
"1",
"2",
"4",
"3",
"1",
"2",
"3",
"2",
"4",
"3",
"2",
"3",
"1",
"2"
] | [
"nonn"
] | 28 | 1 | 1 | [
"A001285",
"A005679",
"A005681",
"A245188"
] | [
"M0934"
] | N. J. A. Sloane | 2021-02-18T12:43:53 | oeisdata/seq/A005/A005681.seq | 8be124f74e7d9cbdea1a7977afd7b6db |
A005682 | Number of Twopins positions. | [
"1",
"2",
"4",
"8",
"15",
"28",
"51",
"92",
"165",
"294",
"522",
"924",
"1632",
"2878",
"5069",
"8920",
"15686",
"27570",
"48439",
"85080",
"149405",
"262320",
"460515",
"808380",
"1418916",
"2490432",
"4370944",
"7671188",
"13462945",
"23627078",
"41464296",
"72766972",
"127700055",
"224101844",
"393276447",
"690158844",
"1211153337"
] | [
"nonn",
"easy"
] | 47 | 5 | 2 | null | [
"M1106"
] | N. J. A. Sloane | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005682.seq | c3741e85292752f3409db8b6fdac4dc9 |
A005683 | Numbers of Twopins positions. | [
"1",
"2",
"3",
"5",
"8",
"13",
"22",
"37",
"63",
"108",
"186",
"322",
"559",
"973",
"1697",
"2964",
"5183",
"9071",
"15886",
"27835",
"48790",
"85545",
"150021",
"263136",
"461596",
"809812",
"1420813",
"2492945",
"4374273",
"7675598",
"13468787",
"23634817",
"41474548",
"72780553",
"127718046",
"224125677",
"393308019",
"690200668"
] | [
"nonn"
] | 46 | 3 | 2 | [
"A000931",
"A005251",
"A005683"
] | [
"M0695"
] | N. J. A. Sloane | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005683.seq | 31727835cbe3e0ed43f0129c81102cc6 |
A005684 | Number of Twopins positions. | [
"1",
"2",
"4",
"6",
"11",
"18",
"32",
"52",
"88",
"142",
"236",
"382",
"629",
"1018",
"1664",
"2692",
"4383",
"7092",
"11520",
"18640",
"30232",
"48916",
"79264",
"128252",
"207705",
"336074",
"544084"
] | [
"nonn"
] | 25 | 6 | 2 | null | [
"M1019"
] | N. J. A. Sloane. | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005684.seq | db70d191d134f0232b629f9432a08874 |
A005685 | Number of Twopins positions. | [
"1",
"2",
"3",
"5",
"7",
"11",
"16",
"26",
"40",
"65",
"101",
"163",
"257",
"416",
"663",
"1073",
"1719",
"2781",
"4472",
"7236",
"11664",
"18873",
"30465",
"49293",
"79641",
"128862",
"208315",
"337061",
"545071",
"881943",
"1426520",
"2308158",
"3733880",
"6041545",
"9774133"
] | [
"nonn"
] | 42 | 4 | 2 | null | [
"M0664"
] | N. J. A. Sloane. | 2024-12-29T00:52:23 | oeisdata/seq/A005/A005685.seq | 825ada5c9510220f11cf95b9a1cfcf4f |
A005686 | Number of Twopins positions. | [
"0",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"3",
"3",
"4",
"5",
"6",
"8",
"9",
"12",
"14",
"18",
"22",
"27",
"34",
"41",
"52",
"63",
"79",
"97",
"120",
"149",
"183",
"228",
"280",
"348",
"429",
"531",
"657",
"811",
"1005",
"1240",
"1536",
"1897",
"2347",
"2902",
"3587",
"4438",
"5484",
"6785",
"8386",
"10372",
"12824",
"15856",
"19609",
"24242",
"29981",
"37066",
"45837"
] | [
"nonn",
"easy"
] | 76 | 0 | 7 | [
"A001687",
"A005686"
] | [
"M0267"
] | N. J. A. Sloane | 2024-03-03T10:41:39 | oeisdata/seq/A005/A005686.seq | 3e094f015efa7e3b06e8e87268799d72 |
A005687 | Number of Twopins positions. | [
"1",
"2",
"4",
"6",
"9",
"14",
"22",
"36",
"57",
"90",
"139",
"214",
"329",
"506",
"780",
"1200",
"1845",
"2830",
"4337",
"6642",
"10170",
"15572",
"23838",
"36486",
"55828",
"85408",
"130641",
"199814",
"305599",
"467366",
"714735",
"1092980",
"1671335",
"2555650",
"3907781",
"5975202",
"9136288",
"13969560",
"21359528"
] | [
"nonn",
"easy"
] | 37 | 7 | 2 | null | [
"M1004"
] | N. J. A. Sloane. | 2024-03-03T10:42:51 | oeisdata/seq/A005/A005687.seq | ef8dd8bc4baf0464f6027e2de21b106d |
A005688 | Numbers of Twopins positions. | [
"1",
"2",
"3",
"5",
"7",
"10",
"14",
"20",
"30",
"45",
"69",
"104",
"157",
"236",
"356",
"540",
"821",
"1252",
"1908",
"2909",
"4434",
"6762",
"10319",
"15755",
"24066",
"36766",
"56176",
"85837",
"131172",
"200471",
"306410",
"468371",
"715975",
"1094516",
"1673232",
"2557997",
"3910683"
] | [
"nonn",
"easy"
] | 21 | 5 | 2 | null | [
"M0647"
] | N. J. A. Sloane. | 2019-08-26T15:54:58 | oeisdata/seq/A005/A005688.seq | b515202be2d2d2439a2b86d9915f2aa9 |
A005689 | Number of Twopins positions. | [
"1",
"2",
"4",
"7",
"11",
"16",
"22",
"30",
"42",
"61",
"91",
"137",
"205",
"303",
"443",
"644",
"936",
"1365",
"1999",
"2936",
"4316",
"6340",
"9300",
"13625",
"19949",
"29209",
"42785",
"62701",
"91917",
"134758",
"197548",
"289547"
] | [
"nonn"
] | 41 | 6 | 2 | null | [
"M1042"
] | N. J. A. Sloane. | 2025-01-05T19:51:33 | oeisdata/seq/A005/A005689.seq | 829ee6801f90c17a9f64c0218a33ed9d |
A005690 | Number of Twopins positions. | [
"1",
"2",
"4",
"6",
"9",
"12",
"18",
"26",
"41",
"62",
"96",
"142",
"212",
"308",
"454",
"662",
"979",
"1438",
"2128",
"3126",
"4606",
"6748",
"9910",
"14510",
"21298",
"31212",
"45820",
"67176",
"98571",
"144476"
] | [
"nonn"
] | 23 | 8 | 2 | null | [
"M0999"
] | N. J. A. Sloane. | 2022-04-13T13:25:17 | oeisdata/seq/A005/A005690.seq | 99be012575af1f17a81bbb2c6250d9c9 |
A005691 | Number of Twopins positions. | [
"1",
"2",
"3",
"5",
"7",
"10",
"13",
"18",
"24",
"35",
"50",
"75",
"109",
"161",
"231",
"336",
"482",
"703",
"1020",
"1498",
"2188",
"3214",
"4694",
"6877",
"10039",
"14699",
"21487",
"31489",
"46097",
"67582",
"98977",
"145071",
"212463",
"311344",
"456045",
"668328",
"979182",
"1435107",
"2102900",
"3082037",
"4516347",
"6618985",
"9699527",
"14215176"
] | [
"nonn"
] | 22 | 6 | 2 | [
"A005691",
"A228570"
] | [
"M0643"
] | N. J. A. Sloane | 2017-11-10T14:10:26 | oeisdata/seq/A005/A005691.seq | e8f91322aa8d4b00f1a921df18ccdc22 |
A005692 | Shortest wins at Beanstalk. | [
"0",
"7",
"5",
"65",
"11",
"63",
"9",
"17",
"61",
"69",
"7",
"15",
"59",
"23",
"67",
"93",
"31",
"13",
"57",
"57",
"21",
"65",
"21",
"91",
"29",
"73",
"11",
"55",
"11",
"55",
"19",
"63",
"63",
"19",
"45",
"89",
"27",
"27",
"71",
"27",
"53",
"53",
"9",
"35",
"53",
"79",
"17",
"61",
"61",
"61",
"17",
"43",
"61"
] | [
"nonn"
] | 14 | 0 | 2 | null | [
"M4328"
] | N. J. A. Sloane. | 2017-09-19T12:06:52 | oeisdata/seq/A005/A005692.seq | 9453b7585cc057714a37ec6b4c8e580d |
A005693 | Erroneous version of A321442. | [
"2",
"1",
"30",
"3",
"29",
"2",
"4",
"28",
"2",
"1",
"3",
"17",
"4",
"2",
"12",
"8",
"2",
"4",
"9",
"3",
"28",
"2",
"11",
"4",
"2",
"3",
"3",
"2",
"8",
"2",
"10",
"27",
"2",
"8",
"10",
"3",
"3",
"2",
"4",
"5",
"2",
"1",
"3",
"7",
"4",
"2",
"9",
"26",
"2",
"4",
"7",
"3",
"9",
"2",
"7",
"4",
"2",
"3",
"3",
"4",
"97",
"2",
"8",
"12",
"2",
"6",
"4",
"3"
] | [
"dead"
] | 17 | 1 | 1 | [
"A005693",
"A321442"
] | [
"M0184"
] | N. J. A. Sloane | 2018-11-09T21:50:55 | oeisdata/seq/A005/A005693.seq | de176ca553ca6f8a790c24bc304c3dee |
A005694 | Positions of remoteness 6 in Beans-Don't-Talk. | [
"6",
"12",
"23",
"45",
"46",
"89",
"91",
"92",
"93",
"177",
"179",
"183",
"185",
"354",
"355",
"359",
"367",
"707",
"708",
"709",
"711",
"717",
"718",
"719",
"733",
"739",
"1415",
"1417",
"1433",
"1435",
"1437",
"1438",
"1465",
"1469",
"1479",
"2831",
"2845",
"2870",
"2873",
"2875",
"2876",
"2877",
"2933",
"2937",
"5661",
"5663",
"5667",
"5689"
] | [
"nonn"
] | 15 | 1 | 1 | null | [
"M4097"
] | N. J. A. Sloane. | 2017-09-18T12:11:26 | oeisdata/seq/A005/A005694.seq | 646d5c82addb06567fa0c504a8a18136 |
A005695 | Positions of remoteness 3 in Beans-Don't-Talk. | [
"2",
"9",
"10",
"19",
"37",
"39",
"75",
"76",
"77",
"149",
"151",
"152",
"155",
"299",
"303",
"309",
"597",
"605",
"607",
"619",
"1195",
"1211",
"1213",
"1214",
"1237",
"2389",
"2421",
"2427",
"2475",
"4779",
"4843",
"4853",
"4854",
"4855",
"4949",
"9557",
"9685",
"9707",
"9709",
"9899",
"19115",
"19371",
"19413",
"19417",
"19419",
"19797"
] | [
"nonn"
] | 14 | 1 | 1 | null | [
"M1914"
] | N. J. A. Sloane. | 2017-09-18T12:11:23 | oeisdata/seq/A005/A005695.seq | a08d54a0d60da3b231db28391de6d0f4 |
A005696 | Positions of remoteness 4 in Beans-Don't-Talk. | [
"13",
"25",
"50",
"51",
"99",
"101",
"103",
"199",
"202",
"403",
"404",
"405",
"413",
"797",
"807",
"809",
"825",
"1593",
"1618",
"3229",
"3235",
"3236",
"3237",
"3299",
"6371",
"6457",
"6471",
"6473",
"6599",
"12743",
"12945",
"25827",
"25885",
"25891",
"26397",
"50973",
"51655",
"51769",
"51779",
"51783",
"52793"
] | [
"nonn"
] | 14 | 1 | 1 | null | [
"M4891"
] | N. J. A. Sloane. | 2017-09-18T12:11:20 | oeisdata/seq/A005/A005696.seq | cade2f0ab07bcc03c42a1bcfa99ce4aa |
A005697 | Positions of remoteness 5 in Beans-Don't-Talk. | [
"4",
"8",
"17",
"33",
"34",
"35",
"66",
"67",
"69",
"133",
"134",
"135",
"137",
"138",
"139",
"265",
"266",
"267",
"269",
"270",
"275",
"277",
"531",
"533",
"537",
"539",
"549",
"551",
"555",
"1061",
"1063",
"1067",
"1075",
"1076",
"1077",
"1078",
"1079",
"1099",
"1100",
"1101",
"1109",
"2123",
"2124",
"2125",
"2133",
"2149",
"2152",
"2153"
] | [
"nonn"
] | 14 | 1 | 1 | null | [
"M3334"
] | N. J. A. Sloane. | 2017-09-18T12:11:17 | oeisdata/seq/A005/A005697.seq | 24ab314a7f6d70ac4c7314a3df1f9cce |
A005698 | Positions of remoteness 2 in Beans-Don't-Talk. | [
"7",
"29",
"57",
"227",
"455",
"1821",
"3641",
"14563",
"29127",
"116509",
"233017",
"932067",
"1864135",
"7456541",
"14913081",
"59652323",
"119304647",
"477218589",
"954437177",
"3817748707",
"7635497415",
"30541989661",
"61083979321",
"244335917283",
"488671834567",
"1954687338269"
] | [
"nonn"
] | 16 | 1 | 1 | null | [
"M4394"
] | N. J. A. Sloane | 2021-12-19T09:14:02 | oeisdata/seq/A005/A005698.seq | cc011cd80c0c0f3ad19c267641cf9509 |
A005699 | a(n) = ceiling(tan(n)^2). | [
"0",
"3",
"5",
"1",
"2",
"12",
"1",
"1",
"47",
"1",
"1",
"51054",
"1",
"1",
"53",
"1",
"1",
"13",
"2",
"1",
"6",
"3",
"1",
"3",
"5",
"1",
"2",
"11",
"1",
"1",
"42",
"1",
"1",
"5673",
"1",
"1",
"61",
"1",
"1",
"14",
"2",
"1",
"6",
"3",
"1",
"3",
"5",
"1",
"2",
"11",
"1",
"1",
"37",
"1",
"1",
"2042",
"1",
"1",
"70",
"1",
"1",
"15",
"2",
"1",
"6",
"3",
"1",
"3",
"5",
"1",
"2",
"10",
"1",
"1",
"33",
"1",
"1",
"1042",
"1",
"1",
"82",
"1",
"1",
"16",
"2",
"1",
"6",
"3",
"1",
"3",
"4",
"1",
"2",
"9",
"1",
"1",
"30",
"1",
"1",
"630",
"1",
"1",
"96",
"1",
"1",
"17"
] | [
"nonn",
"easy"
] | 12 | 0 | 2 | [
"A005657",
"A005699",
"A195910"
] | null | N. J. A. Sloane. | 2025-03-17T14:49:32 | oeisdata/seq/A005/A005699.seq | c0b9560d43f8e512c978dea0ea8969f6 |
A005700 | a(n) = C(n)*C(n+2) - C(n+1)^2 where C() are the Catalan numbers A000108. | [
"1",
"1",
"3",
"14",
"84",
"594",
"4719",
"40898",
"379236",
"3711916",
"37975756",
"403127256",
"4415203280",
"49671036900",
"571947380775",
"6721316278650",
"80419959684900",
"977737404590100",
"12058761323277900",
"150656212896017400",
"1904342169333848400",
"24328661192286773400",
"313839729380499376860"
] | [
"nonn",
"walk",
"easy"
] | 165 | 0 | 3 | [
"A000108",
"A005700",
"A006149",
"A006150",
"A138349",
"A179898",
"A185249",
"A193691",
"A193692",
"A248152"
] | [
"M2975"
] | N. J. A. Sloane | 2024-09-20T03:04:39 | oeisdata/seq/A005/A005700.seq | a4a1883f2f67bbad5a33d226894153f8 |
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