Datasets:
christopher
/
oeis

Dataset card Data Studio Files
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Community
2
sequence_id
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7
7
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573
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1
348
keywords
listlengths
1
8
score
int64
1
2.31k
offset_a
int64
-14,827
666,262,453B
offset_b
int64
0
635M
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cross_references
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author
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timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-04-28 00:58:08
filename
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29
29
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stringlengths
32
32
A009601
Expansion of e.g.f.: sinh(tan(log(1+x))).
[ "0", "1", "-1", "5", "-24", "166", "-1350", "13026", "-143808", "1790560", "-24782400", "377280056", "-6262125936", "112504698840", "-2174463129384", "44977635083096", "-991157036904960", "23178047520065536", "-573180268144301568", "14943307041391438080" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2018-01-31T03:17:55
oeisdata/seq/A009/A009601.seq
3219cea01ab838ca08cdf851282f426d
A009602
Expansion of e.g.f. sinh(tan(sin(x))) (odd powers only).
[ "1", "2", "8", "-64", "-5632", "-205184", "-240640", "859820032", "90170851328", "1502445600768", "-1320541298393088", "-272882319216148480", "-10828284839119028224", "10466976817322751164416", "3607763969688114359697408" ]
[ "sign" ]
31
0
2
null
null
R. H. Hardin
2018-01-31T03:18:48
oeisdata/seq/A009/A009602.seq
5b645fb26bf34a84e792a544a7c0e0c3
A009603
Expansion of sinh(tan(tan(x))) (odd powers only).
[ "1", "5", "113", "5669", "494081", "65835109", "12394430129", "3124415825605", "1014225530028161", "411568350375102789", "203968457810172592497", "121149200509578256609253", "84912250115184457330480001" ]
[ "nonn" ]
15
0
2
null
null
R. H. Hardin
2018-01-31T03:18:43
oeisdata/seq/A009/A009603.seq
01bbdf1244c233255a6488a292250533
A009604
Expansion of e.g.f. sinh(tan(x))*cos(x), odd powers only.
[ "1", "0", "12", "280", "11536", "703296", "59653440", "6715007104", "967972497664", "173764741920768", "37986612815698944", "9929613975171315712", "3056815269626584895488", "1094148286150918628229120" ]
[ "nonn" ]
19
0
3
null
null
R. H. Hardin
2024-05-02T14:41:07
oeisdata/seq/A009/A009604.seq
87a19195842f65567c21f0b48b3719e6
A009605
Expansion of e.g.f. sinh(tan(x))*exp(x).
[ "0", "1", "2", "6", "16", "72", "288", "1848", "9920", "81088", "541184", "5318016", "42274816", "483162240", "4449451776", "57865303296", "605255720960", "8815813734400", "103187353223168", "1662921003208704", "21528004660707328", "380141599264751616", "5391886872902762496", "103492751953073897472" ]
[ "nonn", "easy" ]
13
0
3
null
null
R. H. Hardin
2018-01-31T03:20:43
oeisdata/seq/A009/A009605.seq
911266903dc64d71270c637615dc67ef
A009606
Expansion of e.g.f. sinh(tan(x))*sin(x) (even powers only).
[ "0", "2", "8", "168", "5760", "310304", "23894144", "2481859968", "333725331456", "56329065984512", "11650274400684032", "2895770490247219200", "851263005980215443456", "292012329049579197046784", "115560631410392130840461312", "52240866338892496235877335040" ]
[ "nonn" ]
36
0
2
[ "A009606", "A024259" ]
null
R. H. Hardin
2024-08-04T03:05:02
oeisdata/seq/A009/A009606.seq
41dcb8d030d32420522e227dbe8e6920
A009607
Expansion of e.g.f. sinh(tan(x))/cos(x), odd powers only.
[ "1", "6", "92", "2688", "127312", "8850336", "845380928", "105911556096", "16814357324032", "3294279618252288", "779927283014454272", "219346023009485242368", "72245888404549697916928", "27535159087648660044718080", "12019428370649765064698642432", "5955630440267924458161515003904" ]
[ "nonn" ]
14
0
2
null
null
R. H. Hardin
2018-01-31T03:18:14
oeisdata/seq/A009/A009607.seq
c8e67272dcbcebf76bf2b8e127739e2a
A009608
Expansion of e.g.f. sinh(tan(x)*exp(x)).
[ "0", "1", "2", "6", "24", "152", "1072", "8512", "71680", "662080", "6603392", "71748864", "837838848", "10499561984", "139880866816", "1976422924288", "29453086916608", "462014697656320", "7601785735454720", "130960983301496832", "2356171689814425600", "44197586399696322560", "862635671043302490112" ]
[ "nonn", "easy" ]
13
0
3
null
null
R. H. Hardin
2025-01-18T09:12:13
oeisdata/seq/A009/A009608.seq
961d0df9f68b560ce7defd78707d94e4
A009609
sinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8...
[ "0", "2", "4", "182", "4744", "287402", "21494284", "2264343902", "304602955024", "51600721945682", "10697629642233364", "2665265431805294342", "785147451273373098904", "269855118987322780537082", "106983136938538203343804444", "48443492657600381889310646702" ]
[ "nonn" ]
12
0
2
null
null
R. H. Hardin
2015-05-18T16:51:09
oeisdata/seq/A009/A009609.seq
5afd8730e5e3949bb7eeb129b9ea2411
A009610
sinh(sinh(x)*tan(x)) = 2/2!*x^2 + 12/4!*x^4 + 262/6!*x^6 + 13272/8!*x^8 + ...
[ "0", "2", "12", "262", "13272", "957962", "92373732", "11700940942", "1898239676592", "383856666320402", "94495162415525052", "27775889989675653142", "9596246875502670987912", "3846428998586880438721562", "1769213328996568414223239572", "925116125161545668585359733662" ]
[ "nonn" ]
15
0
2
null
null
R. H. Hardin
2014-01-27T09:12:58
oeisdata/seq/A009/A009610.seq
70d315b7f8a7185514d33c805b30c3e2
A009611
Expansion of sinh(tan(x)*x).
[ "0", "2", "8", "216", "8896", "553120", "48069504", "5564225408", "827281160192", "153537251480064", "34761966006691840", "9422306473314752512", "3010196845995598430208", "1118714469509146379657216", "478278367951534466053799936", "232972682112352062801913282560" ]
[ "nonn" ]
17
0
2
null
null
R. H. Hardin
2015-01-25T09:47:24
oeisdata/seq/A009/A009611.seq
a36ba41e3b6e684eb86ba8f8b2de079f
A009612
Expansion of e.g.f. sinh(tan(x)/cos(x)), odd powers only.
[ "1", "6", "112", "4592", "318208", "32169984", "4399544320", "779244812288", "173483433263104", "47421793222656000", "15607317689652477952", "6082241638882756001792", "2766961182829040965255168", "1451710442535733909612658688" ]
[ "nonn" ]
23
0
2
null
null
R. H. Hardin
2014-02-09T12:52:20
oeisdata/seq/A009/A009612.seq
b343b3c4ce7547d08d1315aa17ed674c
A009613
Expansion of e.g.f. sinh(tan(x)*tan(x)) (even powers only).
[ "0", "2", "16", "392", "21376", "1875872", "227105536", "35750690432", "7110343684096", "1750588208886272", "523940264885702656", "187423773435078920192", "78905518064423548911616", "38568578386644134655598592" ]
[ "nonn" ]
19
0
2
null
null
R. H. Hardin
2018-01-27T06:29:40
oeisdata/seq/A009/A009613.seq
97ba04dbd5c4533c6801856727ee31c6
A009614
Expansion of sinh(tanh(log(1+x))).
[ "0", "1", "-1", "1", "0", "-14", "150", "-1154", "6272", "-10016", "-305280", "5160376", "-49699056", "248457496", "1844013080", "-69019386344", "1062420810240", "-9790634309504", "3214679190912", "2104758733135744", "-52208434879690240", "764746718991861376" ]
[ "sign", "easy" ]
12
0
6
null
null
R. H. Hardin
2020-12-04T19:05:04
oeisdata/seq/A009/A009614.seq
e2748abf3e9b9dba85020ea615f5720f
A009615
Expansion of e.g.f.: sinh(tanh(x))*exp(x).
[ "0", "1", "2", "2", "0", "-8", "-32", "184", "1984", "-5568", "-118016", "231552", "8529920", "-11751296", "-754714880", "596164352", "79868821504", "-4342886400", "-9749056634880", "-10035384119296", "1296267479826432", "3825733461393408", "-165153529347768320" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2017-07-30T10:47:56
oeisdata/seq/A009/A009615.seq
3d2eaa9191f54c961de01d2809aa885b
A009616
Expansion of e.g.f.: sinh(tanh(x)*exp(x)).
[ "0", "1", "2", "2", "8", "72", "272", "128", "1024", "51264", "275072", "-1287680", "-7871488", "206883328", "1471104000", "-19670491136", "-159374082048", "3293417492480", "29559475576832", "-595302140223488", "-5903345189421056", "137666774002696192" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2018-02-11T16:56:16
oeisdata/seq/A009/A009616.seq
3b0fc0b327463e574d7e4b2f76395b85
A009617
Expansion of e.g.f. sinh(tanh(x)*tan(x))/2 in odd powers of x^2.
[ "1", "116", "202576", "1557978176", "34206677698816", "1706222428480541696", "167325183704890858786816", "29168516299952885066683006976", "8389219957754997383106354075467776", "3758865858584530123647466441487099887616", "2506919694437630172543194103107513029881757696" ]
[ "nonn" ]
14
0
2
[ "A009617", "A012671" ]
null
R. H. Hardin
2025-01-12T12:11:17
oeisdata/seq/A009/A009617.seq
e6a1f079e9b8b608d2399e60607b4c59
A009618
Expansion of sinh(x)*cos(log(1+x)).
[ "0", "1", "0", "-2", "12", "-59", "300", "-1700", "10808", "-76835", "604440", "-5201734", "48397140", "-480836407", "5029687572", "-54376704304", "590140657200", "-6060696430375", "49142463616368", "25189857279350", "-16700280706496420", "638685917560435181" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2015-06-22T22:49:58
oeisdata/seq/A009/A009618.seq
5161e86fe5e537020f64ede31d6e1c1b
A009619
Expansion of sinh(x)*cos(sin(x)).
[ "1", "-2", "16", "-104", "1600", "-29952", "644736", "-18383616", "645554176", "-25645936640", "1160636121088", "-60217271582720", "3462113293664256", "-212189015619731456", "13428030504825257984", "-819223993894210109440", "36420049717189727485952" ]
[ "sign" ]
12
0
2
null
null
R. H. Hardin
2017-04-02T01:41:39
oeisdata/seq/A009/A009619.seq
50b62e3f60928dd7ed3d20b7a826ced8
A009620
Expansion of sinh(x)*cos(tan(x)).
[ "1", "-2", "-44", "-944", "-27632", "-975072", "-27882048", "1986004224", "850359527680", "222801125934592", "57863671042155520", "16141663294163980288", "4939136307747239694336", "1663039626931665431732224" ]
[ "sign" ]
12
0
2
null
null
R. H. Hardin
2017-04-02T01:41:22
oeisdata/seq/A009/A009620.seq
69cb204f07017f3366c5cda5ccb5c2ae
A009621
Expansion of sinh(x)*cosh(log(1+x)).
[ "0", "1", "0", "4", "-12", "71", "-420", "2962", "-23688", "213229", "-2132280", "23455136", "-281461620", "3659001139", "-51226015932", "768390239086", "-12294243825360", "209002145031257", "-3762038610562608", "71478733600689724", "-1429574672013794460" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:49:38
oeisdata/seq/A009/A009621.seq
c0a951b18906a8af309a254e9735ca23
A009622
Expansion of sinh(x)*exp(sin(x)).
[ "0", "1", "2", "4", "4", "-4", "-42", "-104", "8", "1360", "5354", "1024", "-99956", "-494272", "22974", "13790848", "72550928", "-68726528", "-3076799278", "-15167771648", "44239291156", "993154165760", "4012843624614", "-28626523621376", "-426360266016232", "-1093475947065344" ]
[ "sign", "easy" ]
11
0
3
null
null
R. H. Hardin
2017-04-02T01:40:34
oeisdata/seq/A009/A009622.seq
66e6390859aa8137e3ed47d4fc2022ff
A009623
Expansion of sinh(x).exp(sinh(x)).
[ "0", "1", "2", "4", "12", "36", "118", "456", "1816", "7888", "37354", "184064", "974372", "5444544", "31769182", "195982208", "1259350576", "8441139456", "59073098706", "428299217920", "3226127944764", "25165446157312", "202778723085382", "1689266143553536" ]
[ "nonn", "easy" ]
13
0
3
[ "A003724", "A009541", "A009623" ]
null
R. H. Hardin
2022-06-07T15:02:33
oeisdata/seq/A009/A009623.seq
70eaf67ab6bda8729e21b9a6b1cae9fd
A009624
Expansion of sinh(x)*exp(tan(x)).
[ "0", "1", "2", "4", "16", "56", "288", "1576", "9920", "70912", "541184", "4668544", "42274816", "423673472", "4449451776", "50674728448", "605255720960", "7717401038848", "103187353223168", "1456461190426624", "21528004660707328", "333308651379949568" ]
[ "nonn", "easy" ]
12
0
3
null
null
R. H. Hardin
2021-12-02T18:13:19
oeisdata/seq/A009/A009624.seq
ce5a790a767bcbc20861cfe7b7f8a393
A009625
Expansion of sinh(x)*exp(tanh(x)).
[ "0", "1", "2", "4", "0", "-24", "-32", "456", "1984", "-11264", "-118016", "289664", "8529920", "3000960", "-754714880", "-2697206272", "79868821504", "625547980800", "-9749056634880", "-138214081974272", "1296267479826432", "32824743592198144" ]
[ "sign", "easy" ]
11
0
3
null
null
R. H. Hardin
2017-04-02T01:40:10
oeisdata/seq/A009/A009625.seq
ba0ec146fb749e9e53eba85b66be7c61
A009626
Expansion of sinh(x)*sin(sin(x)).
[ "0", "2", "-4", "38", "-456", "6154", "-131660", "3516334", "-106736272", "3902982930", "-170222268308", "8352824699446", "-450765801976408", "26680683413522714", "-1687649113840410588", "107139301840519550910", "-5929940305488915501344" ]
[ "sign" ]
17
0
2
null
null
R. H. Hardin
2017-04-02T01:39:48
oeisdata/seq/A009/A009626.seq
b4e4a81cf86b6b658a04a4ac952993e3
A009627
Expansion of sinh(x)*sin(tan(x)).
[ "0", "2", "8", "8", "-2304", "-183776", "-15141248", "-1461427328", "-166452797440", "-21941424508416", "-3231615038191616", "-498564870033053696", "-67544768806700253184", "-435077810759086759936", "7017404598452791761076224" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2017-04-02T01:39:29
oeisdata/seq/A009/A009627.seq
b8ab5492fddd62d75c28e5d88b2607cd
A009628
Expansion of e.g.f.: sinh(x)/(1+x).
[ "0", "1", "-2", "7", "-28", "141", "-846", "5923", "-47384", "426457", "-4264570", "46910271", "-562923252", "7318002277", "-102452031878", "1536780478171", "-24588487650736", "418004290062513", "-7524077221125234", "142957467201379447", "-2859149344027588940", "60042136224579367741" ]
[ "sign", "easy" ]
51
0
3
[ "A000166", "A000522", "A009179", "A009628", "A051397", "A087208", "A186763" ]
null
R. H. Hardin
2023-03-19T18:00:52
oeisdata/seq/A009/A009628.seq
b98d5b35747ab4b9e2b8047542b61c90
A009629
Expansion of sinh(x)/cos(log(1+x)).
[ "0", "1", "0", "4", "-12", "91", "-660", "5902", "-59528", "677353", "-8557560", "118927656", "-1802780100", "29602064259", "-523414634652", "9915150539946", "-200333301044880", "4300435439719377", "-97740817953852528", "2344794532033126188" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:49:20
oeisdata/seq/A009/A009629.seq
5781999cec7c7db732dcd098b79bcbc3
A009630
Expansion of sinh(x)/cos(sin(x)).
[ "1", "4", "16", "-104", "-5504", "-69376", "5144192", "431779328", "3270959104", "-2994808352768", "-327470564016128", "13424788329791488", "9902586724481662976", "1141033124277100085248", "-243917918992354704359424" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2022-02-02T14:33:43
oeisdata/seq/A009/A009630.seq
ab96d65129aea9e21306c98b9fa3ffa5
A009631
Expansion of sinh(x)/cos(tan(x)).
[ "1", "4", "76", "3256", "235408", "25823744", "4007103296", "836059707008", "225808591264000", "76659294873275392", "31954924327960714240", "16046151385106990553088", "9553929740491469212061696", "6655283798759275562178347008" ]
[ "nonn" ]
10
0
2
null
null
R. H. Hardin
2023-09-04T11:33:41
oeisdata/seq/A009/A009631.seq
b5249798b60ac32fbb45c4e76e1fc3c5
A009632
Expansion of sinh(x)/cosh(log(1+x)).
[ "0", "1", "0", "-2", "12", "-39", "60", "400", "-4872", "29449", "-75240", "-792054", "14470500", "-126336287", "451892532", "6486922156", "-158017858320", "1804082178225", "-8296746885072", "-150859861660106", "4593579141365820", "-64784591020059959" ]
[ "sign", "easy", "changed" ]
12
0
4
null
null
R. H. Hardin
2025-04-17T12:27:40
oeisdata/seq/A009/A009632.seq
2c56b07d48ed6920580120b09e4be48a
A009633
E.g.f. tan(cos(x)*x) (odd powers only).
[ "1", "-1", "-39", "55", "39697", "-2289", "-235548247", "-1367615353", "4617417380769", "85802560805023", "-226896487004217095", "-9332987296855749801", "23509703520941274769841", "1792438008018628579394735" ]
[ "sign" ]
18
0
3
null
null
R. H. Hardin
2019-09-24T10:38:11
oeisdata/seq/A009/A009633.seq
27c879110f39b13160a6d21136a46e75
A009634
E.g.f. tan(x*cosh(x)), zeros omitted.
[ "1", "5", "81", "3429", "238273", "25669093", "3923627345", "807194393477", "215176572950017", "72120516857475141", "29686285367774651089", "14721686852776234894885", "8656857857596485141973441", "5955926696414663185424979749" ]
[ "nonn" ]
29
0
2
null
null
R. H. Hardin
2017-09-06T17:47:39
oeisdata/seq/A009/A009634.seq
90c3110021ddcfad850d337ba2e5eaf9
A009635
Expansion of e.g.f. tan(x*exp(x)).
[ "0", "1", "2", "5", "28", "201", "1566", "14349", "154456", "1870225", "25034650", "368887573", "5938767924", "103580577881", "1945112687350", "39137964503837", "840076566197552", "19158967944112929", "462642378426338994", "11792392190823752229" ]
[ "nonn" ]
31
0
3
[ "A009017", "A009448", "A009635", "A009768", "A191719" ]
null
R. H. Hardin
2021-10-02T07:57:29
oeisdata/seq/A009/A009635.seq
faec7e88bb701dea23cd46cf74a57d2a
A009636
Expansion of tan(log(1+log(1+x))).
[ "0", "1", "-2", "9", "-59", "504", "-5284", "65510", "-936298", "15143182", "-273248976", "5439702914", "-118392773322", "2796058524492", "-71201990804372", "1944545286662376", "-56688882983623352", "1756963601887874632", "-57683888928277239984" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-22T22:48:54
oeisdata/seq/A009/A009636.seq
691672e53cbee521fb0cce4c07a9257f
A009637
Expansion of e.g.f.: tan(log(1+sin(x))).
[ "0", "1", "-1", "3", "-14", "71", "-466", "3553", "-30904", "303821", "-3318856", "39897503", "-523448144", "7440769571", "-113918718096", "1868810091853", "-32702430873984", "608043493983321", "-11970695844343936", "248764988012724603", "-5441743349749959424" ]
[ "sign", "easy" ]
18
0
4
null
null
R. H. Hardin
2017-04-02T01:43:59
oeisdata/seq/A009/A009637.seq
6e148aefacc991455eb44553fdf6317c
A009638
Expansion of e.g.f.: tan(log(1+sinh(x))).
[ "0", "1", "-1", "5", "-22", "151", "-1186", "11255", "-121752", "1493101", "-20381896", "306816905", "-5045231632", "89977880851", "-1729461315856", "35637607318955", "-783658693590912", "18315607922069401", "-453368586519154816", "11848112075773043405" ]
[ "sign", "easy" ]
17
0
4
null
null
R. H. Hardin
2023-02-20T13:06:24
oeisdata/seq/A009/A009638.seq
ce896757d71ad8fbb7721a37e2cc1ed1
A009639
E.g.f.: tan(log(1+tan(x))).
[ "0", "1", "-1", "6", "-26", "206", "-1666", "17476", "-201256", "2686856", "-39501256", "644639696", "-11460605936", "221416107056", "-4607717991696", "102865898480416", "-2450540846322816", "62064658738621056", "-1664916515878596736" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2015-06-22T22:48:29
oeisdata/seq/A009/A009639.seq
c5b6b72b5222ca1f866304baad3d47a7
A009640
Expansion of e.g.f.: tan(log(1+tanh(x))).
[ "0", "1", "-1", "2", "-10", "46", "-226", "1532", "-11880", "96136", "-882376", "9179312", "-102310000", "1223945776", "-15941391376", "222827194592", "-3303846357120", "52077034777216", "-871329939918976", "15375474411183872", "-285315305595562240", "5562663216718387456", "-113653337185088018176" ]
[ "sign", "easy" ]
22
0
4
null
null
R. H. Hardin
2023-06-20T11:30:17
oeisdata/seq/A009/A009640.seq
615747915a30ec3c8398ac5ee3fcb8f1
A009641
a(n) = Product_{i=0..6} floor((n+i)/7).
[ "0", "0", "0", "0", "0", "0", "0", "1", "2", "4", "8", "16", "32", "64", "128", "192", "288", "432", "648", "972", "1458", "2187", "2916", "3888", "5184", "6912", "9216", "12288", "16384", "20480", "25600", "32000", "40000", "50000", "62500", "78125", "93750", "112500", "135000", "162000", "194400", "233280", "279936", "326592", "381024" ]
[ "nonn", "easy" ]
45
0
9
[ "A001015", "A002620", "A006501", "A008233", "A008382", "A008881", "A009641", "A009694", "A009714", "A013665", "A354600" ]
null
N. J. A. Sloane
2025-01-17T07:33:03
oeisdata/seq/A009/A009641.seq
ca3e3595c17d52d9d9b942aab8bce525
A009642
Expansion of tan(log(1+x))*cos(x).
[ "0", "1", "-1", "1", "-12", "75", "-555", "4863", "-48832", "552293", "-6948765", "96252429", "-1455398604", "23851683999", "-421107222263", "7967875766875", "-160844272481760", "3450332758515657", "-78376836240861273", "1879454111175884697" ]
[ "sign", "easy" ]
14
0
5
null
null
R. H. Hardin
2015-06-22T22:48:17
oeisdata/seq/A009/A009642.seq
b7ce5561ad2b04e66361cd6ba9176839
A009643
Expansion of tan(log(1+x))*cosh(x).
[ "0", "1", "-1", "7", "-24", "155", "-1095", "9497", "-94248", "1059845", "-13281525", "183496091", "-2769635616", "45333709967", "-799674327179", "15121294153565", "-305107579902960", "6542782753769737", "-148587216992008713", "3562420906863755695" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2015-06-22T22:48:06
oeisdata/seq/A009/A009643.seq
59d964426272558fba65f3c1ee0f267b
A009644
Expansion of tan(log(1+x))*exp(x).
[ "0", "1", "1", "4", "-4", "55", "-349", "3176", "-31536", "356981", "-4486515", "62124676", "-939083124", "15387231899", "-271629760609", "5139109612040", "-103734448063424", "2225145262126601", "-50544116286741191", "1212003840479789476" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:47:54
oeisdata/seq/A009/A009644.seq
eda75c2360f9758d43a1fa89ae68f0c1
A009645
Expansion of e.g.f.: tan(log(1+x))*log(1+x).
[ "0", "0", "2", "-6", "30", "-180", "1324", "-11424", "113376", "-1271232", "15889280", "-218989760", "3298513600", "-53897151360", "949389619840", "-17931842342400", "361486218406400", "-7746121344512000", "175813073606092800", "-4213227577441536000" ]
[ "sign", "easy" ]
18
0
3
null
null
R. H. Hardin
2015-06-22T22:47:43
oeisdata/seq/A009/A009645.seq
26da3c44c6dc92728541e68d1214d806
A009646
Expansion of tan(log(1+x))/cos(x).
[ "0", "1", "-1", "7", "-24", "175", "-1155", "10477", "-100968", "1147901", "-14251005", "197307251", "-2969362176", "48613104059", "-856679861583", "16197513235945", "-326703748009200", "7005133086139705", "-159063002342367705", "3813308579832354079" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:47:20
oeisdata/seq/A009/A009646.seq
538f3287ab8e7096341887ffecf59cf6
A009647
Expansion of tan(log(1+x))/cosh(x).
[ "0", "1", "-1", "1", "-12", "95", "-615", "5003", "-52192", "600029", "-7464645", "102853749", "-1558643724", "25565811531", "-450966117147", "8528942156655", "-172180452813600", "3693485934629625", "-83891436038405865", "2011562464233339561" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2015-06-22T22:46:58
oeisdata/seq/A009/A009647.seq
f0c7c74fee249d280a4475cb88590bc4
A009648
Expansion of tan(log(1+x))/exp(x).
[ "0", "1", "-3", "10", "-44", "255", "-1841", "15818", "-156960", "1762709", "-22076535", "304867506", "-4600188108", "75280188035", "-1327718893749", "25103478695090", "-506480711742496", "10860420245412873", "-246630317697276235", "5912837973247721914" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-22T22:46:46
oeisdata/seq/A009/A009648.seq
28d76389d8cb726b23be019d4669a182
A009649
Expansion of tan(log(1+x)*cos(x)).
[ "0", "1", "-1", "1", "-12", "35", "-195", "1979", "-13552", "131333", "-1540845", "16920341", "-219934044", "3138657015", "-46097651327", "745768998623", "-12886218266880", "233789283755465", "-4532667637516281", "92739558324236905", "-1991654643609977740" ]
[ "sign", "easy" ]
11
0
5
null
null
R. H. Hardin
2015-06-22T22:46:35
oeisdata/seq/A009/A009649.seq
02c701e70bf33e793a07377d27e4dbbb
A009650
Expansion of tan(log(1+x)*cosh(x)).
[ "0", "1", "-1", "7", "-24", "195", "-1455", "15181", "-163128", "2091653", "-28920645", "448752819", "-7526839056", "137636522647", "-2702715523235", "56982020356457", "-1280413674123600", "30591670993049033", "-773721824135574825" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2015-06-22T22:46:25
oeisdata/seq/A009/A009650.seq
d3594a9602b9875e779ade68386dad81
A009651
Expansion of tan(log(1+x)*exp(x)).
[ "0", "1", "1", "4", "12", "95", "475", "4660", "33936", "405989", "3882973", "54431804", "647183900", "10409228947", "148114866471", "2688534660812", "44565537391168", "901505382712297", "17060031938483289", "380716426667440788" ]
[ "nonn", "easy" ]
10
0
4
null
null
R. H. Hardin
2015-06-22T22:46:13
oeisdata/seq/A009/A009651.seq
5cc7bcbcb4efa88a6769cd4534fea704
A009652
Expansion of tan(log(1+x)/cos(x)).
[ "0", "1", "-1", "7", "-24", "215", "-1515", "16721", "-176568", "2363165", "-32662125", "521810859", "-8824531056", "165050184611", "-3283420714119", "70591429387077", "-1610563051907280", "39183483858949049", "-1007242998864835257" ]
[ "sign", "easy" ]
22
0
4
null
null
R. H. Hardin
2015-06-22T22:45:40
oeisdata/seq/A009/A009652.seq
2f22f56e6f29ed043c3af708f2be5874
A009653
Expansion of tan(log(1+x)/cosh(x)).
[ "0", "1", "-1", "1", "-12", "55", "-255", "2679", "-23632", "201245", "-2409525", "30433181", "-383307804", "5609915779", "-89478694851", "1470425213763", "-26173709472960", "501554172182201", "-10043883092049993", "212501921779526329", "-4764376768067195020" ]
[ "sign", "easy" ]
15
0
5
null
null
R. H. Hardin
2015-06-22T22:45:29
oeisdata/seq/A009/A009653.seq
0ef3b2845608e486ad134de5001f07bb
A009654
Expansion of e.g.f.: tan(log(1+x)/exp(x)).
[ "0", "1", "-3", "10", "-60", "535", "-5545", "65182", "-880992", "13534757", "-231683143", "4360580794", "-89533557212", "1992568741579", "-47774231187709", "1227455840670542", "-33641659053337888", "979722562830640169", "-30211554791018748267" ]
[ "sign", "easy" ]
12
0
3
null
null
R. H. Hardin
2016-01-07T18:29:24
oeisdata/seq/A009/A009654.seq
8de0964df288f7deca88b6b86a36807e
A009655
Expansion of tan(log(1+x)^2).
[ "0", "0", "2", "-6", "22", "-100", "788", "-8568", "103416", "-1307808", "17722512", "-264361680", "4373968080", "-79413478560", "1558387903200", "-32713320769920", "731007454396800", "-17347090012492800", "436154519763744000", "-11585396062022112000" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2017-04-02T01:47:16
oeisdata/seq/A009/A009655.seq
36ed9fe70474d4e8a28828954a5ee79f
A009656
Expansion of tan(sin(log(1+x))).
[ "0", "1", "-1", "3", "-12", "56", "-300", "1712", "-9296", "31580", "332820", "-12153628", "262379568", "-5078814272", "95841606224", "-1814643998048", "34867500286080", "-682633762485424", "13618529773949232", "-276121278370253456", "5659794902282891840" ]
[ "sign", "easy" ]
10
0
4
null
null
R. H. Hardin
2015-06-22T22:45:03
oeisdata/seq/A009/A009656.seq
4856c210b8244b50dfb6b6bfc322f255
A009657
Expansion of tan(sin(sin(x))).
[ "1", "0", "-12", "88", "4176", "-238912", "-1798976", "1359954560", "-82934087424", "-12122717059072", "3176281608315904", "-22431206333925376", "-144730933261140701184", "27574419119401032040448", "6996748839515967274205184" ]
[ "sign" ]
13
0
3
null
null
R. H. Hardin
2020-01-15T18:13:51
oeisdata/seq/A009/A009657.seq
6ddbd29286f9735f56976ff2ac5f0932
A009658
Expansion of tan(sin(sinh(x))).
[ "1", "2", "8", "-120", "-12160", "-750080", "-36334464", "147613952", "499312189440", "118002014031872", "18886517107687424", "1095225249188249600", "-831828929736605794304", "-517984611085464701173760" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2023-10-05T11:24:23
oeisdata/seq/A009/A009658.seq
695c8eb9571cf1de36655069a55dbae8
A009659
Expansion of tan(sin(tan(x))).
[ "1", "3", "33", "571", "897", "-2454829", "-541025183", "-111302329717", "-24150003737343", "-5473538199891421", "-1184916732110463071", "-160650662732139980197", "73044130261960254992001", "109307715032177255302278131" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2018-01-02T19:34:38
oeisdata/seq/A009/A009659.seq
a07b9ac899f0215b49c3d42289293895
A009660
Expansion of tan(sin(tanh(x))).
[ "1", "-1", "-7", "447", "-19471", "612127", "37384233", "-15027743521", "3099354722529", "-493631745542209", "34013990822822489", "22054949830590352511", "-16492842082602835130159", "7774163613641172354365407" ]
[ "sign" ]
14
0
3
null
null
R. H. Hardin
2019-01-18T12:12:06
oeisdata/seq/A009/A009660.seq
7b81257fd240d707a63aa39e1935c330
A009661
Smallest number m such that m^m+1 is divisible by n.
[ "0", "0", "5", "3", "2", "5", "3", "7", "17", "9", "21", "11", "6", "3", "29", "15", "24", "17", "27", "19", "41", "21", "11", "23", "18", "25", "53", "3", "14", "29", "15", "31", "35", "33", "69", "35", "6", "27", "77", "39", "25", "41", "63", "35", "89", "11", "23", "47", "97", "49", "101", "51", "26", "53", "109", "55", "113", "35", "117", "59", "30", "15", "125", "63", "18", "35", "99", "67", "11", "69", "35", "71", "9", "27" ]
[ "nonn" ]
15
1
3
[ "A009661", "A014566", "A133090", "A268466" ]
null
David W. Wilson
2024-01-03T13:22:53
oeisdata/seq/A009/A009661.seq
0cf2fce49a985d121421ca7c7c3fd22a
A009662
Expansion of tan(sin(x))*cos(x).
[ "1", "-2", "-8", "-16", "2304", "68352", "-843776", "-221382656", "-9865887744", "888186732544", "200433787207680", "8060855544971264", "-3814697273321848832", "-890946236332166348800", "9668703713250158575616" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2017-04-02T02:10:48
oeisdata/seq/A009/A009662.seq
07c902b1ebeaf46af2bce4944fe71b59
A009663
Expansion of tan(sin(x))*cosh(x).
[ "1", "4", "12", "-128", "-5232", "-54848", "5325504", "403442176", "558723328", "-2994514283520", "-295655443772416", "17110494845845504", "9628494110111469568", "971219320278689300480", "-262986198032101769035776" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2021-05-15T20:15:27
oeisdata/seq/A009/A009663.seq
40f7452671834405f2f8a567ef2622ad
A009664
Expansion of tan(sin(x))*exp(x).
[ "0", "1", "2", "4", "8", "12", "8", "-128", "-960", "-5232", "-24416", "-54848", "174976", "5325504", "55072384", "403442176", "2417174528", "558723328", "-157596298752", "-2994514283520", "-36515570849792", "-295655443772416", "-1639992400689152", "17110494845845504" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2021-04-09T18:43:12
oeisdata/seq/A009/A009664.seq
6fde38f1c5cbf8d5107025fe58cf60dc
A009665
E.g.f. tan(sin(x))*sin(x) (even powers only).
[ "0", "2", "0", "-32", "-640", "1024", "661504", "25305088", "-948699136", "-216606572544", "-10006005547008", "2013855760777216", "462400685741178880", "10633324821284388864", "-16549579084211148554240" ]
[ "sign" ]
15
0
2
null
null
R. H. Hardin
2017-04-02T02:09:37
oeisdata/seq/A009/A009665.seq
6b2aa37ab09ee348981cd7ee30c5188e
A009666
Expansion of tan(sin(x))*sinh(x).
[ "0", "2", "8", "8", "-960", "-24416", "174976", "55072384", "2417174528", "-157596298752", "-36515570849792", "-1639992400689152", "545678443552096256", "129227252689536917504", "760653447239073103872", "-6729535404906273785610240", "-1588610710637517290637099008" ]
[ "sign" ]
15
0
2
null
null
R. H. Hardin
2017-04-02T02:08:43
oeisdata/seq/A009/A009666.seq
be410735e38d1beb0edd22dfda95a133
A009667
E.g.f. tan(sin(x))*x, even numbered terms only.
[ "0", "2", "4", "-18", "-856", "-10950", "502764", "42386918", "552455120", "-212988964878", "-23803145936300", "497029073217886", "554580759766596984", "68481112266792124458", "-10157252026016020122820" ]
[ "sign" ]
18
0
2
[ "A009667", "A024225" ]
null
R. H. Hardin
2019-03-11T12:38:31
oeisdata/seq/A009/A009667.seq
d834adafacadcff2bd4c95e5a05f04fa
A009668
Expansion of tan(sin(x))/cos(x).
[ "1", "4", "32", "432", "10752", "504832", "35418112", "3115462656", "333569720320", "44698511474688", "7574890049699840", "1575934549490139136", "387157222106970718208", "110017544405171642040320" ]
[ "nonn" ]
8
0
2
null
null
R. H. Hardin
2014-01-27T09:12:59
oeisdata/seq/A009/A009668.seq
b3a82df4ca7be26b06d3ae3f3a559a7c
A009669
Expansion of tan(sin(x))/cosh(x).
[ "1", "-2", "12", "-296", "8208", "-317088", "22384832", "-1922265216", "200049877248", "-28532108907008", "4916900759571456", "-987493645187344384", "241526023834975735808", "-69201642972421758361600" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2018-06-08T14:32:44
oeisdata/seq/A009/A009669.seq
afdf1b09f29e3c5f3d315d8468fa2ea9
A009670
E.g.f. tan(sin(x)*cos(x)) (odd powers only).
[ "1", "-2", "-48", "880", "59136", "-4558336", "-358510592", "87349164032", "5261729398784", "-4294386293800960", "-9972473469599744", "442881767885962739712", "-50940651947982996897792", "-83250857495799899292172288" ]
[ "sign" ]
18
0
2
[ "A009670", "A101921" ]
null
R. H. Hardin
2017-04-02T11:56:06
oeisdata/seq/A009/A009670.seq
be1bebb8958b779ade382290a57891aa
A009671
Expansion of e.g.f. tan(sin(x)*cosh(x)), odd powers only.
[ "1", "4", "52", "1776", "95184", "8098880", "965358656", "155373092608", "32381834795264", "8483377324590080", "2729934728621511680", "1058257916995852103680", "486461302251310562234368", "261629260950851535726460928", "162758580940261631762847645696" ]
[ "nonn" ]
31
0
2
null
null
R. H. Hardin
2014-02-09T16:56:43
oeisdata/seq/A009/A009671.seq
33d1098cc89b6ce7a7e5885cd86785ec
A009672
Expansion of e.g.f. tan(sin(x)*exp(x)).
[ "0", "1", "2", "4", "24", "172", "1192", "10176", "106176", "1212048", "15123872", "210069440", "3195595392", "52434870464", "926003117184", "17548224583168", "354716499392512", "7614573123195136", "173087393243492864", "4153672167748662272" ]
[ "nonn", "easy" ]
18
0
3
null
null
R. H. Hardin
2018-07-31T16:39:12
oeisdata/seq/A009/A009672.seq
cd40e52a72a70b3f55fe3ab85541d3fc
A009673
Expansion of tan(sin(x)*x).
[ "0", "2", "-4", "246", "-6728", "614890", "-55387212", "8450249822", "-1527219657616", "372125006557650", "-109398463655126420", "39693749843486489542", "-17074884680310522056664", "8684084243275368565840826" ]
[ "sign" ]
11
0
2
null
null
R. H. Hardin
2017-04-02T11:55:25
oeisdata/seq/A009/A009673.seq
72ed81d60b3691fb562ace1c58b63259
A009674
Expansion of tan(sin(x)/cosh(x)).
[ "1", "-2", "-28", "1160", "-3504", "-3908896", "360691008", "14544047232", "-11198480094976", "1531305962216960", "340347851378082816", "-234547726326061201408", "32383387692585279868928", "30186184832886791121723392" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2017-04-02T11:55:07
oeisdata/seq/A009/A009674.seq
6613c1f101400c31633015908c07d38f
A009675
Tan(sin(x)^2) = 2/2!*x^2 - 8/4!*x^4 + 272/6!*x^6 - 13568/8!*x^8 + ...
[ "0", "2", "-8", "272", "-13568", "1048832", "-128073728", "21002749952", "-4567924441088", "1269483920556032", "-437557299535413248", "183472013004069404672", "-91918408815486181572608", "54224850406884797340188672" ]
[ "sign" ]
22
0
2
[ "A009675", "A024264" ]
null
R. H. Hardin
2017-04-02T21:25:51
oeisdata/seq/A009/A009675.seq
37044a6f5e82d00dcc746fd750fccebc
A009676
Expansion of tan(sinh(log(1+x))).
[ "0", "1", "-1", "5", "-24", "166", "-1350", "13082", "-145376", "1827376", "-25592400", "395118272", "-6664254432", "121895495632", "-2402856317680", "50776649007632", "-1144984530078720", "27440409496420096", "-696465326225541888" ]
[ "sign", "easy" ]
10
0
4
null
null
R. H. Hardin
2015-06-22T22:44:52
oeisdata/seq/A009/A009676.seq
b031bec47402f8fcb4e45a0b47a22892
A009677
Expansion of e.g.f. tan(sinh(sin(x))), odd powers only.
[ "1", "2", "8", "-8", "-4096", "-184064", "-6462336", "141778176", "56652931072", "7990288265216", "604515399630848", "-52091469346013184", "-36361552578811101184", "-9602033551463759937536", "-1234912222481784889933824" ]
[ "sign" ]
22
0
2
null
null
R. H. Hardin
2014-02-09T12:53:32
oeisdata/seq/A009/A009677.seq
413c2aa046ed15c252f0af6988355e8e
A009678
Expansion of tan(sinh(tan(x))).
[ "1", "5", "113", "5725", "509729", "70109269", "13747568721", "3638247408429", "1248754592688193", "539284011302978597", "286116175138397606705", "182918545555610954788989", "138683263058208603513689441" ]
[ "nonn" ]
8
0
2
null
null
R. H. Hardin
2014-01-27T09:12:59
oeisdata/seq/A009/A009678.seq
37799cec060b66e177f32663cc79968b
A009679
Number of partitions of {1, ..., 2n} into coprime pairs.
[ "1", "2", "4", "18", "60", "252", "1860", "9552", "59616", "565920", "4051872", "33805440", "465239808", "4294865664", "35413136640", "768372168960", "8757710173440", "79772814777600", "1986906367584000", "22082635812268800", "280886415019776000", "7683780010315046400" ]
[ "nonn" ]
26
1
2
[ "A001147", "A009679" ]
null
David W. Wilson
2022-03-18T00:10:26
oeisdata/seq/A009/A009679.seq
29e35a6ef9e2434e6f37b33c9d6f9d96
A009680
E.g.f. tan(sinh(x))*cos(x) (odd powers only).
[ "1", "0", "12", "336", "15760", "1144704", "117385920", "16206548736", "2897776619776", "651455951990784", "179856295521635328", "59822762558026321920", "23594335379577078059008", "10887666560228980302446592" ]
[ "nonn" ]
19
1
3
null
null
R. H. Hardin
2015-01-24T04:41:38
oeisdata/seq/A009/A009680.seq
5c42a428006cbe1b8ac4057a51b764d7
A009681
Expansion of tan(sinh(x))*exp(x).
[ "0", "1", "2", "6", "16", "72", "288", "1904", "10368", "89344", "610304", "6445824", "52885504", "660602880", "6324756480", "91175548928", "997700468736", "16301080281088", "200677417680896", "3664597991424000", "50126593037172736", "1011727950085619712" ]
[ "nonn", "easy" ]
11
0
3
null
null
R. H. Hardin
2015-01-23T14:10:50
oeisdata/seq/A009/A009681.seq
653f7298d25c2a66521e81667b8e41f2
A009682
Expansion of tan(sinh(x))*sin(x).
[ "0", "2", "8", "168", "6208", "365984", "31759232", "3799039104", "599327352832", "120551382086144", "30112348370954240", "9144842254707320832", "3318219571077818269696", "1417778434388262802202624" ]
[ "nonn" ]
12
0
2
null
null
R. H. Hardin
2015-01-23T14:13:39
oeisdata/seq/A009/A009682.seq
9b751a5c64c617a971267b9047cb863c
A009683
Expansion of tan(sinh(x))*x.
[ "0", "2", "12", "222", "8120", "478810", "41517828", "4965965942", "783389808112", "157572900435762", "39359784790117500", "11953192658425797262", "4337232551752795660968", "1853172813592086586350218" ]
[ "nonn" ]
11
0
2
null
null
R. H. Hardin
2015-01-23T14:15:36
oeisdata/seq/A009/A009683.seq
40cae14f486bf3aaa57fd701983d0031
A009684
Expansion of tan(sinh(x))/cos(x) (odd powers only).
[ "1", "6", "92", "2744", "135568", "10052064", "1046433728", "145777470848", "26210435272960", "5912584665282048", "1635801299492215808", "544795386333006067712", "215040848214192589017088", "99279916831031214863081472" ]
[ "nonn" ]
13
1
2
null
null
R. H. Hardin
2015-01-23T14:19:40
oeisdata/seq/A009/A009684.seq
fd7148a466df214751f29e92a3518a1d
A009685
Expansion of e.g.f. tan(sinh(x)*cos(x)), odd powers only.
[ "1", "0", "-28", "-448", "12112", "1368576", "6365504", "-12034425856", "-1083196126976", "198483816038400", "67920087885661184", "-1384610933181693952", "-5947819353252706660352", "-1087299291711947739365376" ]
[ "sign" ]
23
0
3
null
null
R. H. Hardin
2014-02-09T12:56:50
oeisdata/seq/A009/A009685.seq
2e9487876c068ae0697a950c0a8f4cc0
A009686
Expansion of tan(sinh(x).exp(x)).
[ "0", "1", "2", "6", "32", "232", "1952", "18928", "211584", "2677504", "37670912", "582734592", "9835366400", "179895500800", "3544111063040", "74812812851200", "1684542923735040", "40302006976086016", "1020944014293204992" ]
[ "nonn", "easy" ]
8
0
3
null
null
R. H. Hardin
2014-01-27T09:12:59
oeisdata/seq/A009/A009686.seq
9f0f2dca65f85c1cb41e0e7de0b7e39e
A009687
Expansion of e.g.f. tan(sinh(x)*sin(x))/2 in odd powers of x^2.
[ "1", "116", "221776", "2035313216", "57114906593536", "3831406959743783936", "525282700343846052745216", "132012923141044737907744587776", "56143990156951992731353775556591616", "38005061403111079268112619476719676686336", "39010496884020339788347064320442556327459291136" ]
[ "nonn" ]
13
0
2
[ "A009687", "A024347" ]
null
R. H. Hardin
2025-01-12T12:11:21
oeisdata/seq/A009/A009687.seq
48356ac1463aa4d1b314852e92e20d02
A009688
Expansion of tan(sinh(x)/cos(x)).
[ "1", "6", "132", "6888", "631120", "88901472", "17815778112", "4813349520000", "1685527674636544", "742370072201602560", "401601528167832511488", "261760691714482869528576", "202316143535276408972627968" ]
[ "nonn" ]
11
0
2
null
null
R. H. Hardin
2023-03-20T09:21:14
oeisdata/seq/A009/A009688.seq
28ab0489f18d9abf401fc383c890dd77
A009689
Expansion of tan(tan(log(1+x))).
[ "0", "1", "-1", "6", "-30", "236", "-2100", "22712", "-279776", "3914264", "-60987960", "1048837952", "-19714584912", "402125014864", "-8843878384432", "208597059565312", "-5252013479541120", "140581822236104576", "-3986197501417665408" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2019-05-14T13:47:57
oeisdata/seq/A009/A009689.seq
cb3756481a148ef27f987f3f45240cd3
A009690
Expansion of tan(tan(sin(x))).
[ "1", "3", "33", "739", "26913", "1416995", "101493889", "9507242819", "1129063338945", "165774337045955", "29468302949572705", "6227421783562843427", "1539946012373786340321", "439696998663601508079587" ]
[ "nonn" ]
10
0
2
null
null
R. H. Hardin
2021-06-01T12:42:08
oeisdata/seq/A009/A009690.seq
936da9fa709a8fc865e3dd531a705ad7
A009691
Expansion of tan(tan(sinh(x))) (odd powers only).
[ "1", "5", "113", "5781", "520001", "72300997", "14337027825", "3838128112661", "1332896717838849", "582503435362842629", "312774761747765633777", "202388665054249928155157", "155314408487077603685528641" ]
[ "nonn" ]
13
1
2
null
null
R. H. Hardin
2015-01-23T16:55:11
oeisdata/seq/A009/A009691.seq
a62179799e26e2a9f66b41d7c6ddf03b
A009692
Number of partitions of {1, 2, ..., 2n} into pairs whose differences are primes.
[ "1", "0", "1", "3", "10", "40", "153", "921", "5144", "30717", "230748", "1766056", "14052445", "116580521", "897876519", "7657321097", "75743979608", "788733735080", "7569825650083", "75242386295617", "831978453306391", "9444103049405370", "120064355466770831", "1579842230380587833" ]
[ "nonn", "hard" ]
23
0
4
[ "A000341", "A009692" ]
null
David W. Wilson
2021-03-01T10:15:59
oeisdata/seq/A009/A009692.seq
ed4be9a3d8649170c63568c8cf815087
A009693
Expansion of tan(tan(tanh(x))).
[ "1", "2", "8", "48", "-256", "-6656", "930816", "-94216192", "9099706368", "-822565076992", "27885670498304", "20948024601608192", "-10620485000782413824", "3800373452911396519936", "-1166459964091299721641984" ]
[ "sign" ]
11
0
2
null
null
R. H. Hardin
2017-04-02T12:09:58
oeisdata/seq/A009/A009693.seq
31d58b26643e5adbea2fb2bcf371838d
A009694
a(n) = Product_{i=0..7} floor((n+i)/8).
[ "0", "0", "0", "0", "0", "0", "0", "0", "1", "2", "4", "8", "16", "32", "64", "128", "256", "384", "576", "864", "1296", "1944", "2916", "4374", "6561", "8748", "11664", "15552", "20736", "27648", "36864", "49152", "65536", "81920", "102400", "128000", "160000", "200000", "250000", "312500" ]
[ "nonn", "easy" ]
30
0
10
[ "A001016", "A002620", "A006501", "A008233", "A008382", "A008881", "A009641", "A009694", "A009714", "A013666", "A354600" ]
null
N. J. A. Sloane
2023-01-10T01:49:04
oeisdata/seq/A009/A009694.seq
bce7c48853563e0f1b49a4f77fda5a40
A009695
Expansion of tan(tan(x))*cos(x) (odd powers only).
[ "1", "1", "37", "1517", "108393", "11820345", "1828543693", "380880450277", "102776857839441", "34874008165786609", "14532999645144493557", "7296638106447614270813", "4344082656476890774001593", "3025958669024832261385239593" ]
[ "nonn" ]
12
1
3
null
null
R. H. Hardin
2015-01-23T14:26:50
oeisdata/seq/A009/A009695.seq
6bb2979dfbca35bb238935aef373fe91
A009696
Expansion of tan(tan(x))*cosh(x) (odd powers only).
[ "1", "7", "117", "4555", "317577", "34316335", "5287957053", "1099518892339", "296443784525713", "100546719214082775", "41891900484967019141", "21030561862406486561563", "12519930918307503306140953" ]
[ "nonn" ]
20
1
2
null
null
R. H. Hardin
2018-02-19T18:13:38
oeisdata/seq/A009/A009696.seq
190c590749c16639a03a27cbc8b0d656
A009697
Expansion of tan(tan(x))*exp(x).
[ "0", "1", "2", "7", "20", "117", "518", "4555", "27432", "317577", "2405194", "34316335", "312554428", "5287957053", "56240197198", "1099518892339", "13369846932560", "296443784525713", "4056020122211730", "100546719214082775", "1528702557462347620" ]
[ "nonn", "easy" ]
11
0
3
null
null
R. H. Hardin
2015-01-23T14:33:31
oeisdata/seq/A009/A009697.seq
0f0923a547458df67a44e5b4e1b631da
A009698
Expansion of tan(tan(x))*sin(x).
[ "0", "2", "12", "358", "19352", "1709194", "222722596", "40122780142", "9543330683696", "2895895566420498", "1091590070839432764", "500335689476146083190", "274027979513688992336584", "176734166480671985581245594" ]
[ "nonn" ]
12
0
2
null
null
R. H. Hardin
2015-01-23T14:35:50
oeisdata/seq/A009/A009698.seq
83007bea230f186e06e1314b01fd59ec
A009699
Expansion of tan(tan(x))*sinh(x).
[ "0", "2", "20", "518", "27432", "2405194", "312554428", "56240197198", "13369846932560", "4056020122211730", "1528702557462347620", "700644649971815625622", "383722595185095053746040", "247477546043660240025524954" ]
[ "nonn" ]
12
0
2
null
null
R. H. Hardin
2015-01-23T14:37:56
oeisdata/seq/A009/A009699.seq
659dacb090277943dbbb301af91e29d4
A009700
Expansion of tan(tan(x))*x.
[ "0", "2", "16", "432", "23168", "2039040", "265344000", "47773128704", "11359970459648", "3446710775119872", "1299134788619468800", "595445934379289804800", "326113437715996197519360", "210324874581761164037849088" ]
[ "nonn" ]
14
0
2
null
null
R. H. Hardin
2015-02-01T04:20:41
oeisdata/seq/A009/A009700.seq
a84344e7072c82650ee469ce982dc54c