Datasets:
christopher
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oeis

Dataset card Data Studio Files
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Community
2
sequence_id
stringlengths
7
7
sequence_name
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4
573
sequence
listlengths
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
listlengths
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128
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former_ids
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author
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231
⌀
timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-04-28 00:58:08
filename
stringlengths
29
29
hash
stringlengths
32
32
A009401
Expansion of log(1+tanh(x)/cosh(x)).
[ "0", "1", "-1", "-3", "14", "-15", "-136", "1197", "-5776", "-255", "420224", "-5448003", "30166784", "241437105", "-8354415616", "104019879597", "-291139373056", "-17849464279935", "456381834297344", "-5108933510880003", "-26967886768439296", "2525823613297136625" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2015-06-23T21:37:20
oeisdata/seq/A009/A009401.seq
da850b332ae994a255914ed4f6157272
A009402
Expansion of log(1+tanh(x)/exp(x)).
[ "0", "1", "-3", "9", "-42", "285", "-2358", "23079", "-264792", "3479625", "-51399978", "843354699", "-15223184892", "299785177965", "-6395410234398", "146929245609519", "-3616700960240592", "94961188049020305", "-2649161419533345618" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-23T21:37:38
oeisdata/seq/A009/A009402.seq
7dcb4871be1959c57e0529513342246f
A009403
Expansion of e.g.f. log(1 + tanh(x)^2), even powers only.
[ "0", "2", "-28", "992", "-69088", "8110592", "-1448424448", "366436769792", "-124760831684608", "55014520738414592", "-30501848618302701568", "20768078187214502100992", "-17035983844637174375907328", "16570619538920401323784404992" ]
[ "sign" ]
22
0
2
[ "A009403", "A024299" ]
null
R. H. Hardin
2022-07-12T17:24:32
oeisdata/seq/A009/A009403.seq
5bec363b56b2f4840537a482871417a6
A009404
Squares formed by concatenating other squares, not ending in 0.
[ "49", "144", "169", "361", "441", "1225", "1369", "1444", "1681", "1936", "3249", "4225", "9025", "9409", "10404", "11025", "11449", "11664", "12544", "14161", "14641", "15625", "16641", "19044", "36481", "40401", "41616", "42025", "43681", "44944", "49729", "64009", "81225", "93025", "93636", "99225", "105625", "116964" ]
[ "nonn", "base" ]
2
1
1
[ "A009404", "A019547" ]
null
R. Muller
2003-05-16T03:00:00
oeisdata/seq/A009/A009404.seq
f98130e29ea094ea733f18a8a7c47cb2
A009405
Expansion of e.g.f. log(1+x)*cos(log(1+x)).
[ "0", "1", "-1", "-1", "12", "-76", "480", "-3284", "24752", "-205620", "1874340", "-18639820", "201028080", "-2337859200", "29162187600", "-388263812000", "5492326876800", "-82195910554800", "1296105033322800", "-21449073720082000", "371056401062968000", "-6682811910274568000", "124750905841882320000" ]
[ "sign", "easy" ]
36
0
5
null
null
R. H. Hardin
2024-05-30T03:04:40
oeisdata/seq/A009/A009405.seq
3ca765d0ce0bc5b953e51218e31aec1e
A009406
Expansion of e.g.f.: log(1+x)*cos(sin(x)).
[ "0", "1", "-1", "-1", "0", "29", "-105", "307", "-2744", "27417", "-236025", "2249895", "-25156296", "306281013", "-3983598801", "55800877467", "-839348702160", "13462454942385", "-229273833323025", "4133677629311823", "-78661216493101680", "1575432052386178509" ]
[ "sign", "easy" ]
15
0
6
null
null
R. H. Hardin
2015-06-23T21:38:07
oeisdata/seq/A009/A009406.seq
8463b489325dac06ac4521ec12c6e29a
A009407
Expansion of log(1+x)*cos(sinh(x)).
[ "0", "1", "-1", "-1", "0", "-11", "15", "27", "-504", "7785", "-74025", "835735", "-9654216", "121643677", "-1646734089", "23833558707", "-368032192080", "6033531089873", "-104751319907313", "1920112851095471", "-37066806679606640", "751794216181100869" ]
[ "sign", "easy" ]
14
0
6
null
null
R. H. Hardin
2015-06-23T21:38:20
oeisdata/seq/A009/A009407.seq
8f8b3d760ba6acbfa62a7558df5acd91
A009408
Expansion of log(1+x)*cos(tan(x)).
[ "0", "1", "-1", "-1", "0", "-31", "75", "-953", "3976", "-41631", "255375", "-2595825", "21904344", "-229744191", "2548875147", "-28954555113", "403320390960", "-5182050779583", "86114063275263", "-1283638256263905", "24297343149251280", "-420632032451656671" ]
[ "sign", "easy" ]
18
0
6
null
null
R. H. Hardin
2015-06-23T21:38:32
oeisdata/seq/A009/A009408.seq
97637b0ee9bdf897110475853f15c367
A009409
Expansion of log(1+x)*cos(tanh(x)).
[ "0", "1", "-1", "-1", "0", "49", "-165", "-393", "-504", "66753", "-414225", "21295", "-15435816", "561504241", "-5685997317", "34755442407", "-746778152400", "18822723988481", "-281687621998401", "3781703063806559", "-80079140948241200", "1899387285774263089" ]
[ "sign", "easy" ]
18
0
6
null
null
R. H. Hardin
2015-06-23T21:38:49
oeisdata/seq/A009/A009409.seq
2e536b3a53a36847e62c33ae478b3301
A009410
E.g.f. log(1+x)*cos(x).
[ "0", "1", "-1", "-1", "0", "9", "-45", "279", "-2072", "17265", "-160065", "1638031", "-18353544", "223578809", "-2943054205", "41639195623", "-630238419600", "10162622387809", "-173942578536993", "3149754003442847", "-60163773962649200", "1208991988527548137" ]
[ "sign", "easy" ]
31
0
6
[ "A009410", "A009416" ]
null
R. H. Hardin
2022-04-10T13:28:50
oeisdata/seq/A009/A009410.seq
e10b6e53f27723da08c5866a51885815
A009411
Expansion of log(1+x)*cosh(log(1+x)).
[ "0", "1", "-1", "5", "-24", "134", "-870", "6474", "-54432", "510768", "-5294160", "60090480", "-741407040", "9881421120", "-141493322880", "2166467990400", "-35323552051200", "611048958105600", "-11178032634316800", "215604729694771200", "-4373272831527936000" ]
[ "sign", "easy" ]
22
0
4
[ "A000254", "A009411" ]
null
R. H. Hardin
2015-06-24T04:35:38
oeisdata/seq/A009/A009411.seq
838de4ff551e06eb9ec3b9371fb84c56
A009412
Expansion of log(1+x)*cosh(sin(x)).
[ "0", "1", "-1", "5", "-12", "29", "-165", "993", "-7056", "58617", "-520065", "5139485", "-56499564", "676947413", "-8785333557", "122824831353", "-1839706861440", "29397288124913", "-499197383688033", "8976479629200565", "-170396114982640300", "3405066284386654349" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-23T21:39:55
oeisdata/seq/A009/A009412.seq
dd8a33a3a525c5b963dbcd986d9c4287
A009413
Expansion of log(1+x)*cosh(sinh(x)).
[ "0", "1", "-1", "5", "-12", "69", "-285", "1833", "-11536", "91689", "-782865", "7685325", "-82339884", "973147629", "-12466581309", "172666976433", "-2565893101440", "40742019960785", "-688062399893505", "12315242802523797", "-232832786354392620" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2023-11-16T14:05:55
oeisdata/seq/A009/A009413.seq
3d985070d22262b52534fc4f3801d21e
A009414
Expansion of log(1+x)*cosh(tan(x)).
[ "0", "1", "-1", "5", "-12", "89", "-345", "3093", "-17136", "178065", "-1313865", "15537125", "-145520364", "1937055977", "-22215578385", "330407321013", "-4508998213440", "74499864979361", "-1181547581150961", "21576252384049093", "-389965846387214380" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-23T21:40:23
oeisdata/seq/A009/A009414.seq
cdb0450c3c7d3d9bb7bc246142a7805c
A009415
Expansion of log(1+x)*cosh(tanh(x)).
[ "0", "1", "-1", "5", "-12", "9", "-105", "1413", "-8176", "42801", "-442665", "5165445", "-54556524", "637139385", "-8293744641", "113478922053", "-1717525727040", "28284932778977", "-475222905120177", "8340834063368709", "-159725733100784940", "3244894614657423849" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-23T21:40:40
oeisdata/seq/A009/A009415.seq
aea7623ffc9c1e3e5b55fee66c458b16
A009416
Expansion of e.g.f. log(1+x)*cosh(x).
[ "0", "1", "-1", "5", "-12", "49", "-225", "1301", "-8848", "69441", "-616185", "6095429", "-66475596", "792143793", "-10238194057", "142633278997", "-2130537219840", "33964965659649", "-575573407212753", "10331348137881349", "-195807849389362540", "3907452790559751857", "-81892400673047263761", "1798373345567005989781", "-41294565798306731368272", "989581607891834678407745" ]
[ "sign", "easy" ]
24
0
4
[ "A009410", "A009416" ]
null
R. H. Hardin
2022-04-10T13:28:23
oeisdata/seq/A009/A009416.seq
c99575537112b5af6fff1c55fb1a76b8
A009417
Expansion of log(1+x)*exp(sin(x)).
[ "0", "1", "1", "2", "-4", "-1", "-69", "321", "-1744", "17289", "-151169", "1476925", "-16575340", "199103189", "-2588516917", "36353994873", "-546329845632", "8754613833201", "-149061793849185", "2686816882818229", "-51112881539898028", "1023425692313274509" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-23T21:41:06
oeisdata/seq/A009/A009417.seq
314ab0595677deb0fa379e9d982e70de
A009418
Expansion of log(1+x)*exp(sinh(x)).
[ "0", "1", "1", "2", "4", "19", "11", "321", "-720", "12489", "-84849", "1008765", "-10502700", "131502669", "-1702662077", "24172986033", "-364322094976", "5871664124881", "-100335623138817", "1815293290581909", "-34642054850289196", "695636985512560149" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2015-06-23T21:41:17
oeisdata/seq/A009/A009418.seq
e38865c0bff758298cd66e9cd9b64ad5
A009419
Expansion of log(1+x)*exp(tan(x)).
[ "0", "1", "1", "2", "8", "29", "141", "846", "4472", "39969", "218881", "2810290", "14610320", "280561709", "1153474973", "38655408078", "73062816912", "7216310776161", "-11521981477983", "1796944146688834", "-11006978325918280", "585629030872958429" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-23T21:41:27
oeisdata/seq/A009/A009419.seq
11ab69929844e4747e90151d3dc71be9
A009420
Expansion of log(1+x)*exp(tanh(x)).
[ "0", "1", "1", "2", "-8", "-11", "-19", "846", "-1896", "-111", "-228159", "2453010", "-11353440", "173733429", "-3565851587", "41759789358", "-501111404080", "9579604130881", "-176443305192159", "2870638703204994", "-53275482352387864", "1134671091039714069" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2015-06-23T21:41:39
oeisdata/seq/A009/A009420.seq
ae56d7592786eca6ed57da10b21861c3
A009421
Cubes, not ending in 0, formed by concatenating other cubes.
[ "10648", "27818127", "1018108216", "11728027648", "27081081027", "216108018001", "216648648216", "1001801080216", "27008100810027", "125112533753375", "125180086413824", "216010800180001", "216064806480216", "216270112515625", "1000180010800216", "1728648081003375", "1812501158328125" ]
[ "nonn", "base" ]
20
1
1
[ "A000578", "A009421", "A019548", "A061341" ]
null
R. Muller
2021-07-21T09:37:50
oeisdata/seq/A009/A009421.seq
79a922ce113bb0048bbca1dce8aa0230
A009422
Expansion of log(1+x)*log(1+tan(x)).
[ "0", "0", "2", "-6", "30", "-160", "1084", "-8316", "74456", "-749184", "8474240", "-106035424", "1459781056", "-21914009728", "356711937152", "-6258266154752", "117778607150592", "-2366994133647360", "50601711980789760", "-1146653711692951552" ]
[ "sign", "easy" ]
15
0
3
null
null
R. H. Hardin
2015-06-23T21:41:56
oeisdata/seq/A009/A009422.seq
ed453132bcf2618572cc3bcfb891c61d
A009423
Expansion of log(1+x)*log(1+tanh(x)).
[ "0", "0", "2", "-6", "14", "-40", "204", "-1316", "8728", "-65472", "587520", "-5909024", "63996096", "-755614080", "9771577984", "-136347987712", "2032096826880", "-32315254874112", "547193693896704", "-9816654494863360", "185846783267553280", "-3704632705419493376" ]
[ "sign", "easy" ]
15
0
3
null
null
R. H. Hardin
2015-06-23T21:42:13
oeisdata/seq/A009/A009423.seq
575ccd83887fe6fbaa50aaf9ba7b994b
A009424
Expansion of log(1+x)/cos(log(1+x)).
[ "0", "1", "-1", "5", "-24", "154", "-1170", "10394", "-105392", "1201524", "-15210180", "211691380", "-3212711040", "52801793160", "-934299180360", "17708685967400", "-357960437635200", "7686847410694800", "-174756587308650000", "4193327411934706000" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-23T21:42:27
oeisdata/seq/A009/A009424.seq
8036abd79c87840853e4cd61a6372a89
A009425
Expansion of e.g.f.: log(1+x)/cos(sin(x)).
[ "0", "1", "-1", "5", "-12", "49", "-225", "1133", "-8176", "61665", "-567225", "5701365", "-62634924", "755601105", "-9768453513", "136547354973", "-2041147352640", "32565339301569", "-552510593169489", "9924462641102181", "-188278493388946860", "3759992000006225265" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2022-05-14T20:02:36
oeisdata/seq/A009/A009425.seq
41cd3e02b56d026471d9d4d1577d1538
A009426
Expansion of log(1+x)/cos(sinh(x)).
[ "0", "1", "-1", "5", "-12", "89", "-345", "3093", "-17136", "182097", "-1334025", "16371365", "-150969324", "2101489961", "-23556117585", "367038504693", "-4870660226880", "84100519126561", "-1293871061371761", "24562906630580293", "-430689316852061740" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-23T21:43:04
oeisdata/seq/A009/A009426.seq
f2d5f1730ff4412a8b3534e0e8bf55c7
A009427
Expansion of e.g.f. log(1+x)/cos(tan(x)).
[ "0", "1", "-1", "5", "-12", "109", "-405", "4913", "-24976", "372633", "-2419425", "42646845", "-338219244", "6863821509", "-64452230661", "1478191260393", "-16062969072000", "410493211996977", "-5072547848554017", "142840036992492789", "-1979718755185227180" ]
[ "sign", "easy" ]
25
0
4
[ "A009405", "A009420", "A009422", "A009426", "A009427", "A009428", "A009439" ]
null
R. H. Hardin
2023-09-06T03:14:52
oeisdata/seq/A009/A009427.seq
0ffeb49540ba4419e481d052e6e8895c
A009428
Expansion of e.g.f. log(1+x)/cos(tanh(x)).
[ "0", "1", "-1", "5", "-12", "29", "-165", "993", "-7056", "62649", "-540225", "5044445", "-56372844", "685980437", "-8868937077", "124034330553", "-1855540686720", "29570974192753", "-502444027531233", "9041323571823925", "-171561171727515820", "3427632445624110605" ]
[ "sign", "easy" ]
17
0
4
null
null
R. H. Hardin
2014-02-09T05:40:21
oeisdata/seq/A009/A009428.seq
93344b52e307d42bb4b2f9eef38a227a
A009429
E.g.f. log(1+x)/cos(x).
[ "0", "1", "-1", "5", "-12", "69", "-285", "2001", "-12208", "104073", "-854865", "8723549", "-90552396", "1088372557", "-13647385661", "190057979177", "-2787246189120", "44285819490065", "-742019231348865", "13267464006201781", "-249642268776311020" ]
[ "sign", "easy" ]
22
0
4
null
null
R. H. Hardin
2017-04-01T14:15:08
oeisdata/seq/A009/A009429.seq
21d168b9d1c477c8f690e689b0b8742b
A009430
Expansion of log(1+x)/cosh(log(1+x)).
[ "0", "1", "-1", "-1", "12", "-56", "180", "-204", "-2688", "26496", "-103680", "-679680", "18627840", "-229063680", "1990759680", "-12036729600", "40874803200", "-365550796800", "21248859340800", "-696906569318400", "16303221817344000", "-317662379016192000" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2015-06-23T21:43:48
oeisdata/seq/A009/A009430.seq
74334603e8b20425e3041d5c8b69953e
A009431
Expansion of log(1+x)/cosh(sin(x)).
[ "0", "1", "-1", "-1", "0", "49", "-165", "-393", "-504", "70785", "-434385", "-517265", "-12647976", "654552625", "-6276987717", "18362076327", "-636272644560", "22683808563841", "-312594994151361", "2817355930176479", "-72112751626318640", "2222078368780722865" ]
[ "sign", "easy" ]
13
0
6
null
null
R. H. Hardin
2015-06-23T21:44:02
oeisdata/seq/A009/A009431.seq
876559cd0823220d8e7787513d577343
A009432
Expansion of e.g.f. log(1+x)/cosh(sinh(x)).
[ "0", "1", "-1", "-1", "0", "9", "-45", "447", "-2744", "17553", "-171585", "1757535", "-19723176", "245370969", "-3189613245", "44636677407", "-674857335120", "10851333193249", "-185485926579489", "3356664148618047", "-64009236131219760", "1284480775318317225" ]
[ "sign", "easy" ]
16
0
6
[ "A009405", "A009420", "A009422", "A009431", "A009432", "A009433", "A009439" ]
null
R. H. Hardin
2023-09-08T04:04:29
oeisdata/seq/A009/A009432.seq
586ef7c856f219e5e06c2ca39c4ccd52
A009433
Expansion of e.g.f. log(1+x)/cosh(tan(x)).
[ "0", "1", "-1", "-1", "0", "-11", "15", "27", "-504", "11817", "-94185", "1226455", "-12442056", "155936221", "-1995562569", "27870901107", "-423463160400", "6793396567633", "-117302680146033", "2130615128588591", "-40960288523646320", "827190717641773765" ]
[ "sign", "easy" ]
21
0
6
[ "A009405", "A009420", "A009422", "A009432", "A009433", "A009434", "A009439" ]
null
R. H. Hardin
2023-09-06T04:32:03
oeisdata/seq/A009/A009433.seq
8c6f78d5c61c13640bbddfaa92113155
A009434
Expansion of e.g.f: log(1+x)/cosh(tanh(x)).
[ "0", "1", "-1", "-1", "0", "69", "-225", "-1653", "3976", "187401", "-965385", "-14516745", "61266744", "3032650893", "-21187300953", "-491788726653", "2947006495920", "166337505847057", "-1463633608132017", "-46261934493321105", "358635306874354320" ]
[ "sign", "easy" ]
22
0
6
[ "A009405", "A009420", "A009422", "A009433", "A009434", "A009435", "A009439" ]
null
R. H. Hardin
2023-09-06T04:32:06
oeisdata/seq/A009/A009434.seq
7ead42355b8f0eb55bc61ffb668be0ad
A009435
Expansion of e.g.f.: log(1+x)/cosh(x).
[ "0", "1", "-1", "-1", "0", "29", "-105", "139", "-2072", "31737", "-247545", "1824151", "-22456104", "313750293", "-3929185169", "51584719523", "-793292190480", "13137192234225", "-221862616530705", "3947317975733039", "-75492532592047280", "1522475446731094285" ]
[ "sign", "easy" ]
22
0
6
[ "A009405", "A009420", "A009422", "A009434", "A009435", "A009436", "A009439" ]
null
R. H. Hardin
2023-09-06T04:32:10
oeisdata/seq/A009/A009435.seq
3d49525624d0ad49748314a13d61ceac
A009436
Expansion of e.g.f. log(1+x)/exp(sin(x)).
[ "0", "1", "-3", "8", "-20", "59", "-261", "1665", "-12368", "99945", "-888961", "8802045", "-96423788", "1154791637", "-14982150197", "209295667833", "-3133083877248", "50039962416625", "-849332973526881", "15266142375582901", "-289679348425382572" ]
[ "sign", "easy" ]
21
0
3
[ "A009405", "A009420", "A009422", "A009435", "A009436", "A009437", "A009439" ]
null
R. H. Hardin
2023-09-08T04:04:01
oeisdata/seq/A009/A009436.seq
54e14f35ce82968bb57146c615ee5596
A009437
Expansion of e.g.f. log(1+x)/exp(sinh(x)).
[ "0", "1", "-3", "8", "-28", "119", "-581", "3345", "-22352", "170889", "-1480881", "14361885", "-154177068", "1814792589", "-23230500541", "321160966833", "-4767464107904", "75612375796689", "-1275789176648193", "22815192314465685", "-431023517858496044" ]
[ "sign", "easy" ]
22
0
3
[ "A009405", "A009420", "A009422", "A009436", "A009437", "A009438", "A009439" ]
null
R. H. Hardin
2023-09-08T04:04:47
oeisdata/seq/A009/A009437.seq
ad020ec80ac0996efb1f5f582ab1d55e
A009438
Expansion of e.g.f. log(1+x)/exp(tan(x)).
[ "0", "1", "-3", "8", "-32", "149", "-831", "5340", "-38744", "316161", "-2846611", "28263960", "-305651048", "3593550245", "-45584631743", "622159233948", "-9091059243792", "141783419182561", "-2351573180823939", "41355560621409352", "-768924714448510480" ]
[ "sign", "easy" ]
22
0
3
[ "A009405", "A009420", "A009422", "A009437", "A009438", "A009439" ]
null
R. H. Hardin
2023-09-08T04:04:34
oeisdata/seq/A009/A009438.seq
430aa22172b8957ae09a7bc7188e1506
A009439
Expansion of e.g.f. log(1+x)/exp(tanh(x)).
[ "0", "1", "-3", "8", "-16", "29", "-191", "1980", "-14456", "85713", "-657171", "7877880", "-97759608", "1100545341", "-13021637695", "185198054748", "-2933940050000", "46990261427073", "-774002505048195", "13811029423532424", "-266175983849182016" ]
[ "sign", "easy" ]
18
0
3
[ "A009405", "A009420", "A009422", "A009438", "A009439" ]
null
R. H. Hardin
2023-09-08T04:04:16
oeisdata/seq/A009/A009439.seq
1b71752b105feca7e7b09c442f55c1a5
A009440
a(n) is the concatenation of n and 6n.
[ "16", "212", "318", "424", "530", "636", "742", "848", "954", "1060", "1166", "1272", "1378", "1484", "1590", "1696", "17102", "18108", "19114", "20120", "21126", "22132", "23138", "24144", "25150", "26156", "27162", "28168", "29174", "30180", "31186", "32192", "33198", "34204", "35210", "36216", "37222", "38228", "39234", "40240" ]
[ "nonn", "base", "less", "easy" ]
19
1
1
[ "A009440", "A009441", "A009470", "A009474", "A019550", "A019551", "A019552", "A019553", "A020338" ]
null
David W. Wilson
2022-09-08T08:44:37
oeisdata/seq/A009/A009440.seq
2f8abe517d57b42513cb6b4424715239
A009441
a(n) is the concatenation of n and 7n.
[ "17", "214", "321", "428", "535", "642", "749", "856", "963", "1070", "1177", "1284", "1391", "1498", "15105", "16112", "17119", "18126", "19133", "20140", "21147", "22154", "23161", "24168", "25175", "26182", "27189", "28196", "29203", "30210", "31217", "32224", "33231", "34238", "35245", "36252", "37259", "38266", "39273", "40280" ]
[ "nonn", "base", "less", "easy" ]
17
1
1
[ "A009440", "A009441", "A009470", "A009474", "A019550", "A019551", "A019552", "A019553", "A020338" ]
null
David W. Wilson
2024-08-02T19:23:44
oeisdata/seq/A009/A009441.seq
b4c222ccc397a36638fff61eadb34e4e
A009442
E.g.f. log(1 + x/cos(x)).
[ "0", "1", "-1", "5", "-18", "109", "-720", "5977", "-56336", "612729", "-7453440", "100954061", "-1502172672", "24395453861", "-429076910080", "8128143367905", "-164961704478720", "3571195811862385", "-82142328351817728", "2000535014776893973" ]
[ "sign", "easy" ]
20
0
4
[ "A003957", "A009442" ]
null
R. H. Hardin
2017-04-01T14:16:37
oeisdata/seq/A009/A009442.seq
8dd09fb26e5297c9b342c30781a9ac10
A009443
Expansion of log(1+x/cosh(x)).
[ "0", "1", "-1", "-1", "6", "-11", "0", "83", "-784", "6921", "-34560", "-60281", "2821632", "-29132611", "184690688", "-208438245", "-19939461120", "427918448785", "-5036475875328", "22588439158415", "504121321717760", "-15853957892902395", "258254373528797184" ]
[ "sign", "easy" ]
12
0
5
null
null
R. H. Hardin
2015-06-23T22:06:16
oeisdata/seq/A009/A009443.seq
9e1ab14076e23ea9a07390e90651ca71
A009444
E.g.f. log(1 + x*exp(-x)).
[ "0", "1", "-3", "11", "-58", "409", "-3606", "38149", "-470856", "6641793", "-105398650", "1858413061", "-36044759796", "762659322385", "-17481598316742", "431535346662645", "-11413394655983536", "321989729198400385", "-9651573930139850610" ]
[ "sign", "easy" ]
46
0
3
[ "A006153", "A009306", "A009444", "A305990" ]
null
R. H. Hardin
2020-01-17T17:44:53
oeisdata/seq/A009/A009444.seq
2ac906a0caef882a4c0ab37f06accd42
A009445
a(n) = (2*n+1)!.
[ "1", "6", "120", "5040", "362880", "39916800", "6227020800", "1307674368000", "355687428096000", "121645100408832000", "51090942171709440000", "25852016738884976640000", "15511210043330985984000000", "10888869450418352160768000000", "8841761993739701954543616000000", "8222838654177922817725562880000000" ]
[ "nonn", "easy" ]
78
0
2
[ "A000142", "A001147", "A009445", "A010050", "A014481" ]
null
R. H. Hardin, Joe Keane (jgk(AT)jgk.org)
2025-03-09T13:49:36
oeisdata/seq/A009/A009445.seq
45e09d7e946c9702f7057f1ed64771b3
A009446
Expansion of e.g.f. sin(x*cos(x)) (odd powers only).
[ "1", "-4", "36", "-848", "23824", "-871872", "44942912", "-2860930816", "213856723200", "-19099352929280", "2010469524579328", "-242177953175506944", "32998102512641970176", "-5069553933584348397568", "870871673923373487243264", "-165613871131289362192596992", "34644281516790333651724337152" ]
[ "sign" ]
29
0
2
null
null
R. H. Hardin
2025-01-18T09:09:36
oeisdata/seq/A009/A009446.seq
309b30716e9c01f959de2ff1e518cd9d
A009447
Expansion of sin(cosh(x)*x).
[ "1", "2", "-24", "-624", "-7424", "242560", "23499776", "1002251264", "-2151563264", "-5583112077312", "-666018502836224", "-39230927775531008", "2301688982196453376", "1098354240121833783296", "184678513097428042776576" ]
[ "sign" ]
11
0
2
null
null
R. H. Hardin
2017-04-01T14:18:04
oeisdata/seq/A009/A009447.seq
110a3554e7ee26510369b2bcfd25d846
A009448
E.g.f. sin(x*exp(x)).
[ "0", "1", "2", "2", "-8", "-84", "-504", "-2304", "-6656", "15760", "484000", "5348320", "44393856", "288642368", "1137006976", "-5372233216", "-195241910272", "-2961479980800", "-34259767672320", "-320473550808576", "-2158264400250880", "-1727938748171264", "278774033845987328" ]
[ "sign", "easy" ]
27
0
3
[ "A009017", "A009448", "A009565", "A009635", "A297009" ]
null
R. H. Hardin
2021-10-02T07:57:18
oeisdata/seq/A009/A009448.seq
6a79502fc6b0653b748088f1bc0f943d
A009449
Expansion of e.g.f.: sin(log(1+log(1+x))).
[ "0", "1", "-2", "6", "-23", "99", "-379", "-262", "43940", "-1040942", "21148764", "-425218324", "8815744554", "-191341725498", "4373089531474", "-105434549548356", "2681427980474560", "-71863978166452700", "2026733667001278600", "-60049911134969228680" ]
[ "sign", "easy" ]
12
0
3
null
null
R. H. Hardin
2018-05-19T09:06:56
oeisdata/seq/A009/A009449.seq
5a67ab6c7aa23ffd2bb41912d85bf804
A009450
Expansion of e.g.f.: sin(log(1+sin(x))).
[ "0", "1", "-1", "0", "4", "-19", "74", "-290", "1184", "-5059", "22124", "-93580", "320464", "36401", "-19721976", "335907130", "-4599046656", "59558294361", "-766372344976", "10001627076840", "-133693424522176", "1839667828548821", "-26126020673633376" ]
[ "sign", "easy" ]
12
0
5
null
null
R. H. Hardin
2016-09-18T16:32:32
oeisdata/seq/A009/A009450.seq
dd3ea9af7e84e88b1bd1692f1bb6c021
A009451
Expansion of sin(log(1+sinh(x))).
[ "0", "1", "-1", "2", "-4", "1", "74", "-988", "11136", "-126059", "1500524", "-19039978", "258494576", "-3754232819", "58220860424", "-961696523968", "16874068290816", "-313647160028279", "6159716758535024", "-127495799251479958", "2774799857717137856" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2016-05-07T11:26:39
oeisdata/seq/A009/A009451.seq
3496f5e509ce6583259f555cb50669fe
A009452
Expansion of e.g.f.: sin(log(1+tan(x))).
[ "0", "1", "-1", "3", "-8", "26", "-46", "-542", "12272", "-196204", "2970284", "-46125412", "747689152", "-12796612984", "231568711464", "-4435090726232", "89781803413632", "-1918433012222064", "43187041330469744", "-1022364892192828752" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2022-07-18T14:50:10
oeisdata/seq/A009/A009452.seq
6df4cfd1e67c9f6d5714d213d0f9a426
A009453
Expansion of e.g.f. sin(log(1 + tanh(x))).
[ "0", "1", "-1", "-1", "8", "-14", "-46", "314", "48", "-7244", "13484", "233804", "-1002112", "-10692824", "79853864", "661278344", "-7758425472", "-52788251504", "928828095344", "5226295555184", "-135732896444032", "-617858881186784", "23892314499643424", "83518025870961824" ]
[ "sign", "easy" ]
29
0
5
[ "A009453", "A102573" ]
null
R. H. Hardin
2022-06-22T11:18:08
oeisdata/seq/A009/A009453.seq
8d7f8c61e0b056c4be7939e4a7167876
A009454
Expansion of e.g.f. sin(log(1+x)).
[ "0", "1", "-1", "1", "0", "-10", "90", "-730", "6160", "-55900", "549900", "-5864300", "67610400", "-839594600", "11186357000", "-159300557000", "2416003824000", "-38894192662000", "662595375078000", "-11911522255750000", "225382826562400000" ]
[ "sign", "easy" ]
55
0
6
[ "A003703", "A009454", "A231530", "A242652" ]
null
R. H. Hardin
2024-08-04T03:47:11
oeisdata/seq/A009/A009454.seq
1c36a703fb422177e56f22eed63cd635
A009455
Expansion of sin(log(1+x))*cos(x).
[ "0", "1", "-1", "-2", "6", "-15", "75", "-492", "3668", "-30955", "291555", "-3025926", "34283106", "-420908163", "5566032199", "-78872781080", "1192366871400", "-19156320275703", "325945717605927", "-5855722497051210", "110770076684790590", "-2200845760320344599" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2015-06-23T22:04:53
oeisdata/seq/A009/A009455.seq
f8086e342377b6b392e55836222710b8
A009456
Expansion of sin(log(1+x))*cosh(x).
[ "0", "1", "-1", "4", "-6", "5", "75", "-898", "8652", "-83347", "845955", "-9184144", "107036094", "-1338243751", "17908121959", "-255747266110", "3885901191000", "-62631253326023", "1067753665779687", "-19203106476922532", "363423688810695810" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2015-06-23T22:01:34
oeisdata/seq/A009/A009456.seq
1ab4f5fa25ad41a6101c94757e50a22c
A009457
Expansion of sin(log(1+x))*exp(x).
[ "0", "1", "1", "1", "2", "-5", "41", "-289", "2316", "-20383", "196965", "-2077319", "23780646", "-293954869", "3904755557", "-55497739465", "840656150296", "-13523247084319", "230285930161321", "-4139153666264303", "78317988438360330" ]
[ "sign" ]
11
0
5
null
null
R. H. Hardin
2015-06-23T22:01:51
oeisdata/seq/A009/A009457.seq
54e0dc317cfeef5b96bf748eadc6f3f1
A009458
Expansion of sin(log(1+x))*log(1+x).
[ "0", "0", "2", "-6", "18", "-60", "214", "-714", "984", "23040", "-468880", "7113040", "-102747560", "1501609200", "-22698373400", "358125772200", "-5919450952000", "102619545932800", "-1865622384074400", "35539903321740000", "-708618759088892000", "14768814409403208000" ]
[ "sign", "easy" ]
18
0
3
[ "A009458", "A024332" ]
null
R. H. Hardin
2015-06-24T04:20:26
oeisdata/seq/A009/A009458.seq
2b07f150d66af50c64a402e865bed311
A009459
Expansion of sin(log(1+x))/cos(x).
[ "0", "1", "-1", "4", "-6", "25", "15", "-338", "6972", "-70891", "859275", "-9640864", "120888174", "-1541505979", "21347932515", "-308351466590", "4764530724600", "-77278806586295", "1328450775136695", "-23972129893393796", "455516697937247010" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2015-06-23T22:02:45
oeisdata/seq/A009/A009459.seq
da70355ad86294c3950d7d38e4ea6f15
A009460
Expansion of e.g.f.: sin(log(1+x))/cosh(x).
[ "0", "1", "-1", "-2", "6", "5", "15", "-772", "5348", "-28579", "304875", "-4039686", "44824626", "-502746231", "6786025155", "-100850039760", "1517589587400", "-23931346331175", "408793231839735", "-7414418761808394", "140090661066968990", "-2772125867840390355" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2019-12-26T19:05:19
oeisdata/seq/A009/A009460.seq
ad6344de9896a196f7f543e88f09dab8
A009461
Expansion of e.g.f.: sin(log(1+x))/exp(x).
[ "0", "1", "-3", "7", "-14", "15", "109", "-1507", "14988", "-146311", "1494945", "-16290969", "190291542", "-2382532633", "31911488361", "-455996792755", "6931146231704", "-111739259567727", "1905221401398053", "-34267059287580761", "648529389183031290" ]
[ "sign", "easy" ]
16
0
3
null
null
R. H. Hardin
2014-08-29T03:38:57
oeisdata/seq/A009/A009461.seq
a14b6bacaa3034d61b241b10e9566019
A009462
Expansion of sin(log(1+x)*cos(x)).
[ "0", "1", "-1", "-2", "6", "5", "-105", "194", "1148", "-3859", "-31005", "258806", "334026", "-21158319", "305388811", "-5226531142", "104280927000", "-2074505799079", "41201480473191", "-841787827088690", "17873468221356590", "-394108056782690883", "9015165567479371839" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2015-06-23T22:03:07
oeisdata/seq/A009/A009462.seq
12e136bb101a820b980fc5cf121e12c2
A009463
Expansion of e.g.f.: sin(log(1+x)*cosh(x)).
[ "0", "1", "-1", "4", "-6", "-15", "255", "-2984", "27972", "-270715", "2655315", "-27141996", "290213814", "-3244179419", "37924786627", "-461313190168", "5805782143080", "-74822106476983", "970988704302663", "-12286902933891708", "140375955767835090" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2018-04-06T14:29:05
oeisdata/seq/A009/A009463.seq
d66bcb042c29520addcbfb4bbd121872
A009464
Expansion of e.g.f.: sin(log(1+x)*exp(x)).
[ "0", "1", "1", "1", "-6", "-25", "-155", "-275", "-1764", "11489", "-10787", "1096709", "-3898114", "91374439", "-918833799", "12516903737", "-187393123592", "2698255174081", "-45136473911271", "755066948613897", "-13675842977455934", "257889498152762215" ]
[ "sign", "easy" ]
12
0
5
null
null
R. H. Hardin
2021-07-06T17:12:40
oeisdata/seq/A009/A009464.seq
ba1492cd1a972084131f0e066a8a2fb1
A009465
Expansion of sin(log(1+x)/cos(x)).
[ "0", "1", "-1", "4", "-6", "5", "195", "-2704", "29652", "-331843", "3601035", "-41849436", "488807814", "-6056793535", "75941139183", "-991400372208", "12952602361800", "-170364782863687", "2130756803110071", "-23615067306171612", "149846016306473010" ]
[ "sign", "easy" ]
10
0
4
null
null
R. H. Hardin
2015-06-23T22:04:24
oeisdata/seq/A009/A009465.seq
cedfe38076c5d055d24b3380d7e1a528
A009466
Expansion of sin(log(1+x)/cosh(x)).
[ "0", "1", "-1", "-2", "6", "25", "-165", "-366", "6188", "5573", "-294885", "-813034", "35950266", "-141917555", "-1041102153", "-22047494262", "843256939320", "-9500491668343", "83224830490839", "-2409782172431474", "68273680978437710", "-1275838005728358495" ]
[ "sign", "easy" ]
18
0
4
null
null
R. H. Hardin
2015-06-23T22:04:40
oeisdata/seq/A009/A009466.seq
8f9843c27c401ad692c2ef832e0e0bbe
A009467
Expansion of sin(log(1+x)/exp(x)).
[ "0", "1", "-3", "7", "-6", "-125", "1745", "-17873", "166908", "-1485319", "12508457", "-93553781", "466864222", "2900675947", "-158026529323", "3854302742747", "-79552171943368", "1548695456005553", "-29548490392005579", "562097583466634703" ]
[ "sign", "easy" ]
14
0
3
null
null
R. H. Hardin
2015-06-23T22:00:51
oeisdata/seq/A009/A009467.seq
4eb5059303be2c9a2855599bd211760f
A009468
Expansion of sin(log(1+x)^2).
[ "0", "0", "2", "-6", "22", "-100", "428", "-1008", "-12504", "325152", "-5509368", "85326120", "-1301444520", "20069047440", "-316157970000", "5106165734880", "-84530527771200", "1430269752307200", "-24598613333889120", "426082994004863520", "-7316749927773684000" ]
[ "sign", "easy" ]
21
0
3
null
null
R. H. Hardin
2023-07-05T18:47:14
oeisdata/seq/A009/A009468.seq
e69a5113c71c82277e7bf5b6705ad4ef
A009469
Expansion of sin(sin(log(1+x))).
[ "0", "1", "-1", "0", "6", "-34", "150", "-556", "1288", "5444", "-124020", "1363304", "-11098824", "45441280", "843961664", "-33666774896", "837623746560", "-18618329327344", "402064539572592", "-8714839633275584", "192514023819866720", "-4367651716000415584" ]
[ "sign", "easy" ]
12
0
5
null
null
R. H. Hardin
2017-03-10T13:19:26
oeisdata/seq/A009/A009469.seq
14bb5cb466c7b1c944ea7d5e1e344eb0
A009470
a(n) is the concatenation of n and 8n.
[ "18", "216", "324", "432", "540", "648", "756", "864", "972", "1080", "1188", "1296", "13104", "14112", "15120", "16128", "17136", "18144", "19152", "20160", "21168", "22176", "23184", "24192", "25200", "26208", "27216", "28224", "29232", "30240", "31248", "32256", "33264", "34272", "35280", "36288", "37296", "38304", "39312" ]
[ "nonn", "base", "less", "easy" ]
18
1
1
[ "A009440", "A009441", "A009470", "A009474", "A019550", "A019551", "A019552", "A019553", "A020338" ]
null
David W. Wilson
2022-09-08T08:44:37
oeisdata/seq/A009/A009470.seq
5d826af563b8e50f058186e5f576e8e6
A009471
Expansion of sin(sin(sinh(x))).
[ "1", "-1", "-7", "111", "1073", "-94337", "-2853783", "123530351", "9169805409", "-451648395649", "-48860758779943", "9373388534437103", "1703756816472285841", "-102065089351854821633", "-63965097809194514212791" ]
[ "sign" ]
14
0
3
null
null
R. H. Hardin
2017-04-01T14:24:13
oeisdata/seq/A009/A009471.seq
511414ae0281ce49e7a049c91977a984
A009472
Expansion of sin(sin(tan(x))).
[ "1", "0", "-12", "-248", "-3504", "115904", "17130688", "265254272", "-452604387072", "-186145181366272", "-61549828575435776", "-19962789503984048128", "-6701962036325158170624", "-2365314657819650153562112" ]
[ "sign" ]
13
0
3
null
null
R. H. Hardin
2018-04-15T15:29:51
oeisdata/seq/A009/A009472.seq
0e594bcee3bd7c7d74556a9d204515f0
A009473
Expansion of sin(sin(tanh(x))).
[ "1", "-4", "68", "-2472", "152144", "-14034560", "1799730624", "-304857999232", "65741679927552", "-17551668357299200", "5675908680156886016", "-2184408933211162445824", "986028359061107747639296", "-515674384290974756211654656" ]
[ "sign" ]
11
0
2
null
null
R. H. Hardin
2017-04-01T14:26:11
oeisdata/seq/A009/A009473.seq
98e4c63adb1084a7916111a32297391a
A009474
a(n) is the concatenation of n and 9n.
[ "19", "218", "327", "436", "545", "654", "763", "872", "981", "1090", "1199", "12108", "13117", "14126", "15135", "16144", "17153", "18162", "19171", "20180", "21189", "22198", "23207", "24216", "25225", "26234", "27243", "28252", "29261", "30270", "31279", "32288", "33297", "34306", "35315", "36324", "37333", "38342", "39351" ]
[ "nonn", "base", "less", "easy" ]
19
1
1
[ "A009440", "A009441", "A009470", "A009474", "A019550", "A019551", "A019552", "A019553", "A020338" ]
null
David W. Wilson
2022-09-08T08:44:37
oeisdata/seq/A009/A009474.seq
d4c8b731a99b8ebb76c2779d133c9fc4
A009475
"Pascal sweep" for k=6: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).
[ "1", "7", "21", "36", "8", "64", "9", "57", "36", "10", "1", "232", "1", "12", "55", "121", "13", "193", "14", "166", "78", "15", "1", "594", "1", "17", "105", "287", "18", "451", "19", "365", "136", "20", "1", "1251", "1", "22", "171", "561", "23", "906", "24", "681", "210", "25", "1", "2327", "1", "27", "253", "970", "28", "1642", "29", "1141", "300", "30", "1", "3969", "1", "32", "351", "1541", "33" ]
[ "nonn" ]
5
1
2
null
null
David W. Wilson
2012-03-30T18:35:07
oeisdata/seq/A009/A009475.seq
893fc706a6ff73567c2f315fe20f18ad
A009476
Expansion of sin(sin(x))*cosh(x).
[ "1", "1", "-3", "61", "-1383", "28345", "-808299", "28955317", "-1188919631", "56978370417", "-3196912985683", "205147130407981", "-14832350200481207", "1202829572751744041", "-108800809337039215803", "10889243726402276714149" ]
[ "sign" ]
12
0
3
null
null
R. H. Hardin
2017-04-01T14:26:39
oeisdata/seq/A009/A009476.seq
59030ff677246cd1449595cec96535d6
A009477
Expansion of sin(sin(x))*exp(x).
[ "0", "1", "2", "1", "-4", "-3", "38", "61", "-456", "-1383", "6154", "28345", "-131660", "-808299", "3516334", "28955317", "-106736272", "-1188919631", "3902982930", "56978370417", "-170222268308", "-3196912985683", "8352824699446", "205147130407981", "-450765801976408" ]
[ "sign", "easy" ]
11
0
3
null
null
R. H. Hardin
2017-04-01T14:27:11
oeisdata/seq/A009/A009477.seq
d74cf1e8fe81d6290dc42e27aa9efce5
A009478
Expansion of sin(sin(x))*x.
[ "0", "2", "-8", "72", "-1024", "18720", "-451200", "13870976", "-517341184", "22907884032", "-1190546278400", "71557772290048", "-4904509780131840", "379465209995010048", "-32882543112668741632", "3167852772782079836160", "-336982188500401608720384" ]
[ "sign" ]
12
0
2
[ "A009478", "A024253" ]
null
R. H. Hardin
2017-04-01T14:27:37
oeisdata/seq/A009/A009478.seq
564049c986a9a7022de7f59770b35c52
A009479
Expansion of sin(sin(x))/cos(x).
[ "1", "1", "17", "201", "7041", "291025", "18979729", "1597285977", "176766161281", "24470008076193", "4166922390589073", "854427257015747305", "207778779976099167233", "59114568337761907619441" ]
[ "nonn" ]
14
0
3
null
null
R. H. Hardin
2014-01-27T09:12:52
oeisdata/seq/A009/A009479.seq
48e04cd8b6f8389d02fcc27624667d7c
A009480
E.g.f. sin(sin(x))/cosh(x) (odd powers only).
[ "1", "-5", "57", "-1157", "36753", "-1702725", "109438409", "-9375819525", "1036122313377", "-143739691502213", "24474485553698265", "-5019553507299889285", "1220644145831870289713", "-347288265291867822117829" ]
[ "sign" ]
16
1
2
null
null
R. H. Hardin
2017-04-01T14:28:09
oeisdata/seq/A009/A009480.seq
4cd83e6f5a28b708ceeb0223b6463ddc
A009481
Expansion of sin(sin(x)*cos(x)).
[ "1", "-5", "57", "-1661", "68529", "-3570613", "247557481", "-22399292077", "2476740370529", "-323000223133285", "49350756905258905", "-8776449485870211549", "1790258423701998409233", "-412819053275844054102037" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2022-09-07T16:57:17
oeisdata/seq/A009/A009481.seq
e89c1eea7a1dadd05ad7631a15c3026a
A009482
E.g.f. sin(sin(x)*cosh(x)) (odd powers only).
[ "1", "1", "-23", "-135", "4785", "102353", "-4499623", "-167774711", "9259741409", "697193437985", "-45391655836087", "-4778091975791591", "356972130348630673", "60384518907092417009", "-5135539171238913723207" ]
[ "sign" ]
22
0
3
null
null
R. H. Hardin
2018-02-27T17:59:33
oeisdata/seq/A009/A009482.seq
e16eb8d1c876b1fffec6985370fdead8
A009483
E.g.f. sin(sin(x)*exp(x)).
[ "0", "1", "2", "1", "-12", "-83", "-338", "-555", "4872", "58713", "355322", "988073", "-6857796", "-129165307", "-1078218906", "-4414644611", "23381079184", "664338643633", "7109036257394", "38790001170257", "-152532610916348", "-6632928177660835", "-87579228437764450" ]
[ "sign", "easy" ]
16
0
3
null
null
R. H. Hardin
2017-04-01T14:29:59
oeisdata/seq/A009/A009483.seq
812f222429a0f80408e4bab47b6b7d2b
A009484
From the expansion of sin(sin(x)*x).
[ "0", "2", "-4", "-114", "3352", "-35270", "-2244012", "198654470", "-8021832016", "-150983244558", "67525484385580", "-7526828271926018", "368068475511786696", "48206694242241834026", "-16586068178557581107068", "2563355081796258270543990", "-153878422314204916436611232" ]
[ "sign" ]
26
0
2
null
null
R. H. Hardin
2017-04-01T14:31:35
oeisdata/seq/A009/A009484.seq
6a4ae1a7635284b570eb8b1f60dab9de
A009485
Expansion of e.g.f. sin(sin(x)/cosh(x)), odd powers only.
[ "1", "-5", "77", "-2641", "149529", "-12183613", "1342074021", "-192192501897", "34713417890609", "-7713202738776565", "2065351603144405245", "-655189775541151687489", "242766537537541761422153", "-103817685952332598159305517" ]
[ "sign" ]
25
0
2
null
null
R. H. Hardin
2014-02-09T12:19:10
oeisdata/seq/A009/A009485.seq
23ab387f2b45f65491d2ff5601fca226
A009486
sin(sin(x)*sin(x)) = 2/2!*x^2 - 8/4!*x^4 - 88/6!*x^6 + 6592/8!*x^8 - ...
[ "0", "2", "-8", "-88", "6592", "-251488", "4158592", "551599232", "-94759774208", "9549823734272", "-506903275563008", "-67623197282080768", "30434079688615739392", "-6806476994628810661888", "994937886379415577198592" ]
[ "sign" ]
26
0
2
null
null
R. H. Hardin
2020-02-19T13:39:23
oeisdata/seq/A009/A009486.seq
d4044d7a7da4cd472a45a1c41671f29b
A009487
Expansion of e.g.f.: sin(sinh(log(1+x))).
[ "0", "1", "-1", "2", "-6", "16", "0", "-736", "12208", "-169784", "2318040", "-32444776", "472825056", "-7215401192", "115478109656", "-1937542156096", "34035113079360", "-624767330011904", "11958852841719552", "-238135073165940736", "4920755077661248000" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2015-09-15T10:40:01
oeisdata/seq/A009/A009487.seq
f02b82ee7088d5b126561ea926035db3
A009488
E.g.f. sin(sinh(sin(x))) (odd powers only).
[ "1", "-1", "-7", "223", "-2959", "-82721", "8156073", "-239061825", "-19348243487", "3454706477375", "-182295608480935", "-26905043182243041", "7790129367007385681", "-641827191323121911009", "-147325911341260680509175" ]
[ "sign" ]
22
1
3
null
null
R. H. Hardin
2017-04-02T01:39:57
oeisdata/seq/A009/A009488.seq
653499c8a4b1a39f4ea840a066532f17
A009489
Expansion of sin(sinh(tan(x))).
[ "1", "2", "8", "-344", "-44416", "-5130368", "-688030080", "-109875416832", "-20650894622720", "-4460981432725504", "-1069938200055119872", "-268541150093198032896", "-60666450534816002965504", "-3605301387144067469213696" ]
[ "sign" ]
17
0
2
null
null
R. H. Hardin
2017-04-01T15:44:16
oeisdata/seq/A009/A009489.seq
ce2da44caaa0e7d70b71a8f4c0bf58b4
A009490
Number of distinct orders of permutations of n objects; number of nonisomorphic cyclic subgroups of symmetric group S_n.
[ "1", "1", "2", "3", "4", "6", "6", "9", "11", "14", "16", "20", "23", "27", "31", "35", "43", "47", "55", "61", "70", "78", "88", "98", "111", "123", "136", "152", "168", "187", "204", "225", "248", "271", "296", "325", "356", "387", "418", "455", "495", "537", "581", "629", "678", "732", "787", "851", "918", "986", "1056", "1133", "1217", "1307", "1399", "1498", "1600", "1708", "1823" ]
[ "nonn", "nice", "easy" ]
64
0
3
[ "A000792", "A000793", "A009490", "A034891", "A051613", "A051625", "A256067" ]
null
David W. Wilson
2024-12-29T22:31:25
oeisdata/seq/A009/A009490.seq
54f9bddc58120ecfccdc290acc70b4e8
A009491
Expansion of sin(sinh(x))*cos(x).
[ "1", "-3", "-3", "105", "1081", "-5643", "-547467", "-12925983", "21466225", "19155660141", "1094661097965", "26420430767577", "-1642571602653527", "-274286926200408987", "-20254768947790658715", "-523768215819617513391", "104644184950018747924705" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2017-04-01T15:44:47
oeisdata/seq/A009/A009491.seq
c4ef2f31ebff4075691a58c68345b525
A009492
Expansion of e.g.f.: sin(sinh(x))*exp(x).
[ "0", "1", "2", "3", "4", "-3", "-42", "-217", "-888", "-2951", "-8086", "-5973", "115468", "1237173", "8863806", "52635599", "275344656", "1126610929", "2488177106", "-20058390573", "-369676840940", "-3920482183827", "-34139482063962", "-256734635981833", "-1691837365047912" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2017-04-01T15:45:19
oeisdata/seq/A009/A009492.seq
98a8e14620ba43766c263330c33afa82
A009493
Expansion of sin(sinh(x))*x.
[ "0", "2", "0", "-48", "-448", "640", "152064", "4331264", "46686208", "-2948087808", "-254321049600", "-10904188190720", "-96102216892416", "35338539139923968", "4288100201376251904", "288606238238197678080", "4574915805064126791680" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2017-04-01T15:46:10
oeisdata/seq/A009/A009493.seq
e16bc431218a06521dfd85e23d9242d5
A009494
Expansion of e.g.f. sin(sinh(x))/cos(x), odd powers only.
[ "1", "3", "17", "203", "5473", "254067", "16540721", "1419027899", "156472224961", "21673957780323", "3688273509233489", "756324514461534251", "183915828663739402273", "52326057512851162076883", "17220068908254192825659249", "6490500645147038725191540251", "2777808923824765305203681470849" ]
[ "nonn" ]
21
0
2
null
null
R. H. Hardin
2022-09-08T08:44:37
oeisdata/seq/A009/A009494.seq
0bf76b02bf0d27f6c08a9ea03d1a533d
A009495
Expansion of sin(sinh(x)*cos(x)).
[ "1", "-3", "17", "-259", "961", "8349", "-420847", "107714525", "-291144191", "-71679177795", "-2546217250159", "-1636072819714243", "-8332868001077567", "9423739309853690205", "688800640548102542225", "203496392515640478835997" ]
[ "sign" ]
12
0
2
null
null
R. H. Hardin
2017-04-01T15:46:34
oeisdata/seq/A009/A009495.seq
0d4740159de76e807d3b5ff2e8688a8f
A009496
Expansion of e.g.f. sin(sinh(x)*exp(x)).
[ "0", "1", "2", "3", "-4", "-83", "-658", "-4193", "-22440", "-83975", "120122", "7476315", "112365332", "1294231525", "12752263526", "105731717431", "610305421872", "-1116308339087", "-115998206237710", "-2570453790514893", "-43180432963618900", "-622814297059769699", "-7810135072307898658" ]
[ "sign", "easy" ]
18
0
3
[ "A009061", "A009496", "A121868" ]
null
R. H. Hardin
2025-02-16T08:32:32
oeisdata/seq/A009/A009496.seq
23fe6bf8ad4c723cf0a347e2f179fd67
A009497
Expansion of e.g.f. sin(sinh(x)*sin(x))/2 in odd powers of x^2.
[ "1", "-64", "25216", "-31711744", "93380755456", "-538721831747584", "5434440423098023936", "-88353705160970793385984", "2179843711161864280506105856", "-77903078128153520290915516678144", "3885493817309637834095425199974383616", "-262391914253566550682675647373292878168064" ]
[ "sign" ]
21
0
2
[ "A009497", "A012524" ]
null
R. H. Hardin
2025-01-12T12:11:08
oeisdata/seq/A009/A009497.seq
0014940c6817174fba56c2bd0ffb7cf0
A009498
Expansion of sin(sinh(x)/cos(x)).
[ "1", "3", "-3", "-1113", "-77063", "-5509845", "-430006731", "-33282260529", "-1454472663311", "448480622503635", "254015086363619949", "101877925964986614135", "39296835590108099513833", "15506451718661316904568571" ]
[ "sign" ]
13
0
2
null
null
R. H. Hardin
2023-02-25T17:11:26
oeisdata/seq/A009/A009498.seq
60f22461979995e2701e0c4204a0821e
A009499
Expansion of e.g.f. = sin(tan(log(1+x))).
[ "0", "1", "-1", "3", "-12", "56", "-300", "1544", "-4592", "-74068", "2546820", "-58043956", "1226919936", "-25894069928", "560051913512", "-12549128097416", "292671937925760", "-7117106442114544", "180518194901004912", "-4773533330473419152" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2015-06-23T22:00:04
oeisdata/seq/A009/A009499.seq
44cd020d2d5318305986c732d4a6599f
A009500
Expansion of sin(tan(sin(x))).
[ "1", "0", "-12", "-80", "4368", "194048", "-3700928", "-1030112512", "-37188370176", "9180483559424", "1551617290925056", "-57029184668422144", "-64584465763801165824", "-7584064591475257901056", "2920991959572460076482560" ]
[ "sign" ]
11
0
3
null
null
R. H. Hardin
2017-04-01T22:25:01
oeisdata/seq/A009/A009500.seq
0733e546f483acc65fcc44bb7ed5689e