Datasets:
christopher
/
oeis

Dataset card Data Studio Files
xet
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
2.35k
offset_a
int64
-14,827
666,262,453B
offset_b
int64
0
635M
⌀
cross_references
listlengths
1
128
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former_ids
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3
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author
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231
⌀
timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-07-19 00:40:46
filename
stringlengths
29
29
hash
stringlengths
32
32
A012301
Expansion of e.g.f. arctanh(sin(x)*sin(x)), even powers only.
[ "0", "2", "-8", "272", "-13568", "1290752", "-181296128", "36501112832", "-9859508338688", "3453141256896512", "-1520147333209653248", "821912974600193441792", "-535368543762962928631808", "413509146873290771683868672" ]
[ "sign" ]
15
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012301.seq
d6c396b8765502a9183c1c9c63ac1791
A012302
Expansion of e.g.f. sec(sin(x)*sin(x)), even powers only.
[ "1", "0", "12", "-240", "12432", "-1073280", "125898432", "-20938794240", "4567638266112", "-1267670125547520", "437480763704527872", "-183445824359628779520", "91908363767795383898112", "-54223577318067990113648640" ]
[ "sign" ]
25
0
3
[ "A012302", "A024264" ]
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012302.seq
38f35c2f47adef5e0cfb669b36f5ea97
A012303
Expansion of e.g.f. sech(sin(x)*sin(x)), even powers only.
[ "1", "0", "-12", "240", "4368", "-942720", "42639168", "8638506240", "-2287049555712", "38746394603520", "145600412857955328", "-42974022434701332480", "-7760313189299657306112", "11863589839842518338928640" ]
[ "sign" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012303.seq
2748dbc1b800d18227603343ed94c431
A012304
Expansion of e.g.f.: exp(arcsin(x)*log(x+1)).
[ "1", "0", "2", "-3", "24", "-100", "808", "-5439", "51800", "-469008", "5292162", "-59508075", "782885532", "-10464052248", "157781733198", "-2437533390915", "41504137389648", "-726658147836384", "13799849799221682", "-269818493378847219" ]
[ "sign" ]
14
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012304.seq
7530fca94ad0671f29dd824c169b467e
A012305
Expansion of e.g.f. arcsin(arcsin(x)*log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "358", "-2499", "25032", "-229104", "2865402", "-36173115", "550240020", "-8500522680", "149846317710", "-2762418635235", "56365118364240", "-1205267403147360", "27829436319559410", "-674568212738977395" ]
[ "sign" ]
17
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012305.seq
9df0db296612d9fa57ba34d95a61c4e7
A012306
Expansion of e.g.f. tan(arcsin(x) * log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "478", "-3759", "40152", "-387864", "4962042", "-64308915", "983170980", "-15335058960", "267831905430", "-4873619226735", "96888423426480", "-2014804884605520", "44917521867736050", "-1047513682848869955" ]
[ "sign" ]
15
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012306.seq
839d665ad07c434959a79b7aa62e4314
A012307
Expansion of e.g.f. arctan(arcsin(x) * log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "-2", "1281", "-20328", "247176", "-2335878", "18296685", "-30050460", "-2786088240", "84018996150", "-1739881819935", "29231087119920", "-366680093070480", "1450522417769970", "113001315573589245" ]
[ "sign" ]
17
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012307.seq
278c5959bf4a303830418e3eef2653a1
A012308
Expansion of e.g.f. cos(arcsin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7...
[ "1", "0", "0", "0", "-12", "60", "-450", "2940", "-23408", "179424", "-1610280", "13910160", "-137455032", "1245692448", "-12516311808", "93103526880", "-527152105728", "-11362927602816", "427180646000448", "-13403925787199616", "328077695114329728" ]
[ "sign" ]
11
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012308.seq
8268dd3cdbcb6abb8bfbad590dad636f
A012309
Expansion of e.g.f. sinh(arcsin(x) * log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "358", "-2499", "25032", "-229104", "2623482", "-29520315", "390572820", "-5214039480", "78852514830", "-1216517478435", "20752786409040", "-362913160817760", "6901242069396210", "-134803613131143795" ]
[ "sign" ]
15
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012309.seq
49b59ec9cf92780bb718b94bc38d8413
A012310
Expansion of e.g.f. arcsinh(arcsin(x) * log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "118", "21", "-5208", "88416", "-904518", "8456085", "-36204300", "-582795720", "25175931870", "-566080291035", "10469521737360", "-151909726765440", "1439879949016050", "12663393759659565", "-1154176350734965860" ]
[ "sign" ]
15
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012310.seq
c285e91cf1cceed87abb59e0a6be0454
A012311
Expansion of e.g.f. tanh(arcsin(x)*log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "-2", "1281", "-20328", "247176", "-2577798", "24949485", "-189717660", "500394960", "24648965430", "-804228701535", "18028676700720", "-340430894094480", "5649443088034290", "-76409572412090115", "580555717060321980" ]
[ "sign" ]
21
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012311.seq
ccf3b9c6918ce6bc4f604982a8159961
A012312
Expansion of e.g.f. arctanh(arcsin(x) * log(x+1)).
[ "0", "0", "2", "-3", "12", "-40", "478", "-3759", "40152", "-387864", "5203962", "-70961715", "1142838180", "-18621542160", "342700299030", "-6622936396335", "140637395893680", "-3129194141386320", "74723900156463090", "-1873298738386231875" ]
[ "sign" ]
15
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012312.seq
0c68da114dabab3ebdfdac19a27019c9
A012313
Expansion of e.g.f.: cosh(arcsin(x)*log(x+1)).
[ "1", "0", "0", "0", "12", "-60", "450", "-2940", "26768", "-239904", "2668680", "-29987760", "392312712", "-5250012768", "78929218368", "-1221015912480", "20751350980608", "-363744987018624", "6898607729825472", "-135014880247703424" ]
[ "sign" ]
13
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012313.seq
74c4ff9f27596f1670d6030bc1bad953
A012314
Expansion of e.g.f. sec(arcsin(x)*log(x+1)).
[ "1", "0", "0", "0", "12", "-60", "450", "-2940", "33488", "-360864", "4785480", "-62142960", "941944872", "-14815408608", "260792820288", "-4784515051680", "95341465939968", "-1988764871186304", "44407627224011712", "-1038296963667026304" ]
[ "sign" ]
13
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012314.seq
4c0a4eaa86159767056a423a286e5cd6
A012315
Expansion of e.g.f. sech(arcsin(x)*log(x+1)).
[ "1", "0", "0", "0", "-12", "60", "-450", "2940", "-16688", "58464", "506520", "-18245040", "332343528", "-5206192992", "71271712512", "-855046876320", "7211743218432", "15834692767104", "-2957850381938112", "99133043643679104", "-2542788978368967552" ]
[ "sign" ]
12
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012315.seq
72e04f4c632e17957700aa75ae1553cd
A012316
Expansion of e.g.f.: exp(arcsin(x)*exp(x)).
[ "1", "1", "3", "11", "49", "265", "1635", "11531", "90241", "785777", "7464483", "77615947", "870363377", "10565245561", "137126790723", "1910729723787", "28271549169025", "446132922949985", "7432565149802947", "131334851550591627" ]
[ "nonn" ]
13
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012316.seq
ffd0a178cc32a9a870d5079edf7c2276
A012317
Expansion of e.g.f. arcsin(arcsin(x) * exp(x)).
[ "0", "1", "2", "5", "20", "133", "1070", "10705", "125512", "1717321", "26518138", "459336605", "8787628060", "184388779469", "4205082557286", "103631769297641", "2743399950572304", "77654985344871313", "2340183966373322610" ]
[ "nonn" ]
15
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012317.seq
7fd1b53058d710b3d19b116da03af1b9
A012318
tan(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+240/5!*x^5...
[ "0", "1", "2", "6", "32", "240", "2000", "19656", "221888", "2846784", "40430848", "632914304", "10802538496", "199980939392", "3985563555584", "85138224664832", "1939700554334208", "46962544699670528", "1203843275552612352" ]
[ "nonn" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-06T09:13:48
oeisdata/seq/A012/A012318.seq
4e58828dbd8f25aa4d78c638ce4b3864
A012319
Expansion of e.g.f. arctan(arcsin(x) * exp(x)).
[ "0", "1", "2", "2", "-16", "-152", "-640", "3208", "93760", "903232", "-434432", "-177422848", "-3216258560", "-16228512640", "694840763136", "22720594160384", "271707063115776", "-4070997323902976", "-272647179903516672" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T02:21:54
oeisdata/seq/A012/A012319.seq
01b5308057db7dded59533792c0de928
A012320
Expansion of e.g.f.: cos(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-100/5!*x^5...
[ "1", "0", "-1", "-6", "-27", "-100", "-285", "70", "10857", "138456", "1345575", "12246322", "104657421", "905107892", "7506129995", "67825026750", "599458508113", "7155160301616", "87359515770831", "1675741434252522", "28468606356977333" ]
[ "sign" ]
6
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-03-03T12:12:34
oeisdata/seq/A012/A012320.seq
961e612cb012b677bf8e3d6be1b0fc99
A012321
Expansion of e.g.f. sinh(arcsin(x) * exp(x)).
[ "0", "1", "2", "5", "20", "125", "830", "6001", "45768", "394553", "3699418", "38758909", "433324828", "5299232757", "68428221654", "958395448297", "14101599762448", "223667919165041", "3706771205012274", "65843651814440309", "1215858569345385636" ]
[ "nonn" ]
10
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-01-06T18:48:56
oeisdata/seq/A012/A012321.seq
cece56c934f9bcf5313fac079b715f6b
A012322
Expansion of e.g.f. arcsinh(arcsin(x) * exp(x)).
[ "0", "1", "2", "3", "-4", "-67", "-370", "287", "30424", "365465", "1147258", "-42467557", "-994898540", "-8460851947", "120733095366", "5772181319543", "91988708308272", "-303397037546063", "-57859724492439438", "-1529772040322728013" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T02:21:59
oeisdata/seq/A012/A012322.seq
4480799c98d1b362399b96845e661320
A012323
Expansion of e.g.f.: tanh(arcsin(x)*exp(x))=x+2/2!*x^2+2/3!*x^3-16/4!*x^4-160/5!*x^5...
[ "0", "1", "2", "2", "-16", "-160", "-880", "-824", "51648", "800960", "6435328", "-2043776", "-1126578176", "-22272551808", "-223518587136", "765475969792", "87232814768128", "2039252913397760", "22937720650260480", "-211391911253512192" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-12-14T10:27:27
oeisdata/seq/A012/A012323.seq
81a93ee19e02747846b8f596647ac19a
A012324
arctanh(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+248/5!*x^5...
[ "0", "1", "2", "6", "32", "248", "2240", "24584", "314176", "4604864", "75708928", "1384714496", "27844334080", "610980624512", "14521108083456", "371703786041600", "10193800681881600", "298204898039689216", "9268641663992807424" ]
[ "nonn" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-05T07:51:30
oeisdata/seq/A012/A012324.seq
b1e1835314be9b76d8ea60d71bc2bb2a
A012325
cosh(arcsin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+29/4!*x^4+140/5!*x^5...
[ "1", "0", "1", "6", "29", "140", "805", "5530", "44473", "391224", "3765065", "38857038", "437038549", "5266012804", "68698569069", "952334275490", "14169949406577", "222465003784944", "3725793944790673", "65491199736151318", "1221997363331697037" ]
[ "nonn" ]
4
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:47
oeisdata/seq/A012/A012325.seq
8006e1b853e1e9795913b898a9313a22
A012326
sec(arcsin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+33/4!*x^4+220/5!*x^5...
[ "1", "0", "1", "6", "33", "220", "1905", "19250", "220353", "2820024", "40211745", "630374558", "10781914209", "199647892756", "3981913796497", "85074801848010", "1938930641416577", "46947275907107184", "1203626305882706241" ]
[ "nonn" ]
6
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-05-31T19:23:56
oeisdata/seq/A012/A012326.seq
5c851901af8e93eb0c7b03289bb8e5f9
A012327
sech(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-23/4!*x^4-20/5!*x^5...
[ "1", "0", "-1", "-6", "-23", "-20", "695", "8750", "59057", "27096", "-6378545", "-112547358", "-1027909159", "1643389124", "273544780743", "5934532973590", "63673713397473", "-375014334859344", "-35324004296221921", "-878127940239307318" ]
[ "sign" ]
7
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012327.seq
9919d525b11955010c16bee8eaaa7227
A012328
exp(arcsin(x)*sin(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+5264/8!*x^8...
[ "1", "2", "12", "160", "5264", "337408", "33558976", "4774458624", "925641066752", "234811196362752", "75489493100030976", "29994952555909038080", "14434169598255866957824", "8272551360591963469152256" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:47
oeisdata/seq/A012/A012328.seq
44eae2cdeabf86de36d08c8886e54b93
A012329
arcsin(arcsin(x)*sin(x))=2/2!*x^2+160/6!*x^6+1344/8!*x^8+458368/10!*x^10...
[ "2", "0", "160", "1344", "458368", "16445440", "8077598464", "720541868032", "493459770138624", "85668743495532544", "77756619165720870912", "22805228251600514711552", "26370717564373981237149696" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-07-09T17:31:14
oeisdata/seq/A012/A012329.seq
412be1cb091a5b45890eefc781d9d35c
A012330
tan(arcsin(x)*sin(x))=2/2!*x^2+280/6!*x^6+1344/8!*x^8+770848/10!*x^10...
[ "0", "2", "0", "280", "1344", "770848", "24428800", "11463637120", "1147515615232", "574163022303744", "126865257434619904", "74474679925545302016", "29259293718147520839680", "21004159848539137867063296" ]
[ "nonn" ]
11
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-02-29T07:40:50
oeisdata/seq/A012/A012330.seq
3e6419d596e0bb9222eb3cb36e89d516
A012331
arctan(arcsin(x)*sin(x))=2/2!*x^2-200/6!*x^6+1344/8!*x^8+609568/10!*x^10...
[ "0", "2", "0", "-200", "1344", "609568", "-7504640", "-8722673024", "485760120832", "492836371075584", "-36976815179227136", "-58897173274787112960", "11400113150368496795648", "17579088319490872510980096", "-4055464184781251145968975872", "-8248546055061339155814762643456", "3933564052895801858568954554875904", "7959329273059131348299768801469267968" ]
[ "sign" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-07-27T10:23:49
oeisdata/seq/A012/A012331.seq
409a4548839cfad8f1613a287b7df773
A012332
cos(arcsin(x)*sin(x))=1-12/4!*x^4-560/8!*x^8-120960/10!*x^10...
[ "1", "0", "-12", "0", "-560", "-120960", "-8243136", "-1217216000", "-240101205760", "-60353491365888", "-19412164057951232", "-7711037038987132928", "-3710008156348784881664", "-2126287045304329433743360" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2021-06-04T15:17:07
oeisdata/seq/A012/A012332.seq
3e983853e0d06e89a3a71f46e3d57044
A012333
sinh(arcsin(x)*sin(x))=2/2!*x^2+160/6!*x^6+1344/8!*x^8+216448/10!*x^10...
[ "2", "0", "160", "1344", "216448", "16445440", "2588594944", "488066424832", "124899844644864", "40104870299090944", "15952220652568215552", "7679842459021822656512", "4403590872401925633540096" ]
[ "nonn" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:47
oeisdata/seq/A012/A012333.seq
daebb9ee2e9cf3b2c3a5feddce08b137
A012334
arcsinh(arcsin(x)*sin(x))=2/2!*x^2-80/6!*x^6+1344/8!*x^8+256768/10!*x^10...
[ "2", "0", "-80", "1344", "256768", "478720", "-2027088128", "273426399232", "158140462424064", "-1238001757208576", "-9930099869342171136", "4752907831646575394816", "4870481397825377085751296" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-07-21T13:01:38
oeisdata/seq/A012/A012334.seq
97ecdea4e10e765632b5de99fe96a0d4
A012335
tanh(arcsin(x)*sin(x))=2/2!*x^2-200/6!*x^6+1344/8!*x^8+367648/10!*x^10...
[ "2", "0", "-200", "1344", "367648", "-7504640", "-2587904384", "253284677632", "79392079655424", "-6850403676839936", "-2011786530842634240", "1982840495232732151808", "855419792148094652522496" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-01-14T20:01:09
oeisdata/seq/A012/A012335.seq
3c497ca96b5bc13cc08c861f84c56d5c
A012336
arctanh(arcsin(x)*sin(x))=2/2!*x^2+280/6!*x^6+1344/8!*x^8...
[ "2", "0", "280", "1344", "1012768", "24428800", "20827231360", "1379991058432", "1430240557576704", "197659225530671104", "247901293373984372736", "60895825094704096133120", "91170066232981864478416896" ]
[ "nonn" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:47
oeisdata/seq/A012/A012336.seq
5509ad558126c6da206585a8beafa48d
A012337
cosh(arcsin(x)*sin(x))=1+12/4!*x^4+3920/8!*x^8+120960/10!*x^10...
[ "1", "0", "12", "0", "3920", "120960", "17113536", "2185863680", "437574641920", "109911351717888", "35384622800940032", "14042731903340822528", "6754327139234044301312", "3868960488190037835612160", "2602802755318373957242699776", "2031908876248511982604975472640" ]
[ "nonn" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-08-04T13:04:59
oeisdata/seq/A012/A012337.seq
3087ab92c100b974b8de6ba34ecaba94
A012338
sec(arcsin(x)*sin(x))=1+12/4!*x^4+10640/8!*x^8+120960/10!*x^10...
[ "1", "0", "12", "0", "10640", "120960", "74771136", "4123159040", "2129817514240", "315733300850688", "176225504731384832", "52096908207506505728", "34345862831326069035008", "16865198263103149299957760" ]
[ "nonn" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:47
oeisdata/seq/A012/A012338.seq
1180684ca55da811dd23fcccea25e2d7
A012339
Expansion of e.g.f.: sech(arcsin(x)*sin(x)).
[ "1", "0", "-12", "0", "6160", "-120960", "-30419136", "720079360", "289764450560", "-67943999090688", "-22346350979320832", "79039716551606272", "-455312101897953210368", "-1387404550704064289013760", "-763348964181211012935499776", "-349778941309176227928741642240" ]
[ "sign" ]
14
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-12-10T05:45:12
oeisdata/seq/A012/A012339.seq
966fb25e68b8f8d1a9a7266be63a89ef
A012340
exp(arcsin(x)*arcsin(x))=1+2/2!*x^2+20/4!*x^4+488/6!*x^6+22416/8!*x^8...
[ "1", "2", "20", "488", "22416", "1680672", "187766592", "29343408768", "6124074217728", "1647634955248128", "555774895924564992", "229837057464353187840", "114397631096541960376320", "67482635629160164765409280" ]
[ "nonn" ]
20
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-11-23T14:54:35
oeisdata/seq/A012/A012340.seq
4b2dd9bee8c9cf9ac2d7f0271d871309
A012341
arcsin(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+248/6!*x^6+11328/8!*x^8...
[ "0", "2", "8", "248", "11328", "1091232", "148080000", "30317577600", "8228536780800", "2957031184028160", "1336782441018009600", "749500660718368634880", "508063303148296391147520", "410659058984740631962951680" ]
[ "nonn" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T04:48:38
oeisdata/seq/A012/A012341.seq
b186c33af9aa5858e2a9e4dc7d2f8bc1
A012342
tan(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+368/6!*x^6+18048/8!*x^8...
[ "0", "2", "8", "368", "18048", "1827072", "253363200", "50403563520", "13158813696000", "4414765984972800", "1841972633056051200", "936689336904269168640", "569861032837432328847360", "408713488929007199437455360" ]
[ "nonn" ]
12
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-06T07:29:44
oeisdata/seq/A012/A012342.seq
a4b70510c9a356e0bf3db77af242f176
A012343
arctan(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8...
[ "2", "8", "-112", "-8832", "-27648", "71731200", "8459581440", "-999488716800", "-609228538183680", "-30947990077440000", "82287312014325841920", "35793618716907672698880", "-9141042424973375790120960" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-09-16T18:04:35
oeisdata/seq/A012/A012343.seq
424937da9beae909c95a4b65d0bee0ba
A012344
cos(arcsin(x)*arcsin(x))=1-12/4!*x^4-240/6!*x^6-7728/8!*x^8...
[ "1", "0", "-12", "-240", "-7728", "-428160", "-37912512", "-4960720128", "-901797013248", "-217415865765888", "-67097095431416832", "-25783170924788428800", "-12066773451365568000000", "-6755136268249010663424000" ]
[ "sign" ]
16
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-04-12T23:20:19
oeisdata/seq/A012/A012344.seq
5f233a16cded28364303434a762d2fe2
A012345
Coefficients in the expansion sinh(arcsin(x)*arcsin(x)) = 2*x^2/2!+8*x^4/4!+248*x^6/6!+11328*x^8/8!+...
[ "2", "8", "248", "11328", "849312", "94857600", "14819214720", "3091936512000", "831657655349760", "280473756197529600", "115967597965430077440", "57712257892456911912960", "34039765801079493369569280" ]
[ "nonn" ]
16
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-04-12T23:19:39
oeisdata/seq/A012/A012345.seq
e2ab1aeb07226ea4e8b7f5dbe4465ab8
A012346
E.g.f.: arcsinh(arcsin(x)^2) (even powers only).
[ "0", "2", "8", "8", "-2112", "42912", "30652800", "4329375360", "111548774400", "-87989094796800", "7067984075827200", "26753302456361994240", "13666529274765422837760", "1617292455279293013073920", "-1901977500391306259142574080" ]
[ "sign" ]
18
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-04-22T08:59:31
oeisdata/seq/A012/A012346.seq
38fac881f6f56d6773273a0bdd2b7754
A012347
tanh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8...
[ "0", "2", "8", "-112", "-8832", "-269568", "18508800", "4584990720", "373223424000", "-57291983093760", "-29502109561651200", "-4280300758758850560", "1571738277174218588160", "1306880625182819525591040" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T05:09:51
oeisdata/seq/A012/A012347.seq
5430037e9696f352650d6010dcc572cb
A012348
arctanh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+368/6!*x^6+18048/8!*x^8...
[ "0", "2", "8", "368", "18048", "2068992", "306585600", "69776517120", "20465184768000", "7935055273328640", "3823692307188940800", "2274500815301011046400", "1624840840672099644211200", "1378125905023775157056962560" ]
[ "nonn" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-05T09:15:46
oeisdata/seq/A012/A012348.seq
2a75c1304a2ef6043148f3acfa275090
A012349
cosh(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+11088/8!*x^8...
[ "1", "0", "12", "240", "11088", "831360", "92908992", "14524194048", "3032137705728", "815977299898368", "275301139727035392", "113869459498923110400", "56685373204085048463360", "33442869828080671395840000" ]
[ "nonn" ]
7
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T05:14:03
oeisdata/seq/A012/A012349.seq
b335a60e240bfa717e406984f48613dc
A012350
sec(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+17808/8!*x^8...
[ "1", "0", "12", "240", "17808", "1637760", "242818752", "48180857088", "12774673068288", "4307001787772928", "1807577755864845312", "922535092598044569600", "562968743814613569146880", "404689929495830909079552000" ]
[ "nonn" ]
7
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T05:19:07
oeisdata/seq/A012/A012350.seq
e53eef5f765af75fbdb2ac320f8652bb
A012351
sech(arcsin(x)*arcsin(x))=1-12/4!*x^4-240/6!*x^6-1008/8!*x^8...
[ "1", "0", "-12", "-240", "-1008", "378240", "32163648", "-363487488", "-690754821888", "-145507353366528", "-11585562008128512", "3150884675987558400", "573373842109571665920", "-1149448245885758287872000" ]
[ "sign" ]
7
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T05:28:33
oeisdata/seq/A012/A012351.seq
964a1305f969957c86dd80db0574c947
A012352
Expansion of e.g.f.: sin(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...
[ "0", "0", "2", "-3", "16", "-50", "200", "-336", "-6064", "116712", "-1823552", "24444200", "-343290400", "4725483984", "-68637208848", "1009375584840", "-15551178814464", "244877850035008", "-4005060390790656", "66944176204337280" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-01-17T09:12:07
oeisdata/seq/A012/A012352.seq
e8853db381d70b7903401cc23101833c
A012353
Expansion of e.g.f. arcsin(tan(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "440", "-2856", "30896", "-291528", "3760768", "-47794120", "742773920", "-11810509776", "214335913584", "-4059112319640", "84773616869376", "-1860974227719872", "44081861972926464", "-1097880401356246656", "29109695232734355712", "-810074412297240074880" ]
[ "sign" ]
10
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T18:50:14
oeisdata/seq/A012/A012353.seq
a79e620ceb318e82277e76a5c83a2621
A012354
Expansion of e.g.f. tan(tan(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "560", "-4116", "49376", "-495648", "6643648", "-86408080", "1355660480", "-21635261856", "389870008320", "-7287717739680", "148738206314496", "-3175392718618112", "72630134425104384", "-1740244201350372864", "44148745987324567552", "-1171621057231560284160" ]
[ "sign" ]
10
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-11-04T16:58:09
oeisdata/seq/A012/A012354.seq
65e822bf84c26e09ab71cc52447893b0
A012355
Expansion of e.g.f. sinh(tan(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "440", "-2856", "30896", "-291528", "3518848", "-41141320", "556495520", "-7659162576", "116623578864", "-1844238858840", "31500762034176", "-562615136891072", "10696734155925504", "-212805382639718016", "4464074777217786112", "-97816050420003646080" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T18:48:45
oeisdata/seq/A012/A012355.seq
e9dd1c23ed0044b0176c7deb194aba56
A012356
Arcsinh(tan(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 +...
[ "0", "0", "2", "-3", "16", "-50", "200", "-336", "-6064", "116712", "-1581632", "17791400", "-157012000", "574136784", "21325944432", "-798665850360", "19278624193536", "-380309849100992", "6114157546197504", "-63277940734496640", "-554593212740135168" ]
[ "sign" ]
13
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-03T09:01:23
oeisdata/seq/A012/A012356.seq
ab2094df4d4c47fde602f2661a3e2a63
A012357
Expansion of e.g.f. tanh(tan(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "80", "924", "-24544", "320832", "-4041152", "44762960", "-443911360", "3134031264", "10007901696", "-1090110964320", "32403860361216", "-748994799421952", "15182814672728064", "-270877746698076672", "3931180447615393792", "-28568579846042019840", "-934246098808782868480" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T18:47:29
oeisdata/seq/A012/A012357.seq
614f2d4eac6491af77ae2a18c2627d05
A012358
Expansion of e.g.f. arctanh(tan(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "560", "-4116", "49376", "-495648", "6885568", "-93060880", "1541938880", "-25786609056", "491456933760", "-9706007213280", "211232587063296", "-4810337505293312", "118025076480927744", "-3034967141004516864", "82967370464849969152", "-2375277511119683573760" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T18:46:09
oeisdata/seq/A012/A012358.seq
77cd32575a9b4d649b95f34af4c96ef6
A012359
sec(tan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7...
[ "1", "0", "0", "0", "12", "-60", "570", "-3780", "43680", "-447552", "6232200", "-82861680", "1313835336", "-21072521184", "381305512224", "-7156099161120", "146595771528960", "-3138961332436864", "71962899144642240" ]
[ "sign" ]
6
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-11-25T16:27:41
oeisdata/seq/A012/A012359.seq
ae1519a04fa981d408d9966d67444044
A012360
Expansion of e.g.f.: sech(tan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...
[ "1", "0", "0", "0", "-12", "60", "-570", "3780", "-26880", "145152", "67800", "-19702320", "483806664", "-8808530016", "143791860576", "-2098017710880", "26000312931840", "-200354333649536", "-2365679417115840", "173236427161446528" ]
[ "sign" ]
6
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-11-29T15:27:26
oeisdata/seq/A012/A012360.seq
0473669a6a990b7747bb09a606532e76
A012361
Expansion of e.g.f. arcsin(tan(x) * exp(x)).
[ "0", "1", "2", "6", "24", "160", "1312", "13496", "162624", "2282880", "36300032", "646542336", "12732724224", "274854736000", "6451455453952", "163604692933376", "4457345570893824", "129841475781611520", "4026939664026755072", "132480317530158575616", "4607985167132525543424" ]
[ "nonn" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-18T18:52:20
oeisdata/seq/A012/A012361.seq
21893f5e7d90c106474f4dc36bf0dff3
A012362
arcsinh(tan(x)*exp(x)) = x+2/2!*x^2+4/3!*x^3-60/5!*x^5-488/6!*x^6...
[ "0", "1", "2", "4", "0", "-60", "-488", "-1416", "20160", "427280", "3830432", "-7233536", "-955342080", "-18140316480", "-120169970048", "3583792700544", "145171043297280", "2388380775676160", "-7380519436860928", "-1710892457585202176" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-30T19:50:10
oeisdata/seq/A012/A012362.seq
228b0fedbd44b0805aae804b9f459cc7
A012363
arctanh(tan(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+285/5!*x^5...
[ "0", "1", "2", "7", "36", "285", "2662", "30147", "395976", "5968505", "101054282", "1901962687", "39368308716", "889051951125", "21749632880302", "573017429752827", "16174993678778256", "487024011982108145", "15580632579831576722" ]
[ "nonn" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-24T08:59:04
oeisdata/seq/A012/A012363.seq
264ee6f75d7dc1de383f8d2ce0153796
A012364
E.g.f.: sec(tan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+37/4!*x^4+260/5!*x^5...
[ "1", "0", "1", "6", "37", "260", "2317", "24178", "288937", "3858312", "57255609", "933952030", "16622217357", "320373757964", "6649221916677", "147840789218442", "3506147948661457", "88343770525310736", "2356871357851041777" ]
[ "nonn" ]
6
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-03-07T11:01:33
oeisdata/seq/A012/A012364.seq
b49a977c122d9b3c1fc5b53508db5616
A012365
Expansion of e.g.f.: sech(tan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-60/5!*x^5...
[ "1", "0", "-1", "-6", "-27", "-60", "483", "9422", "92393", "507528", "-2635609", "-125548830", "-2109466227", "-20314641204", "35281684683", "6713017752758", "172379768794193", "2531995009465104", "6214077724791503", "-977218995921967926" ]
[ "sign" ]
6
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-10-21T16:30:38
oeisdata/seq/A012/A012365.seq
246170386503c46856875065337db0ea
A012366
Duplicate of A009513.
[ "2", "4", "-58", "-1976", "-125878", "-9435956", "-836433778", "-89733620336" ]
[ "dead" ]
8
0
1
null
null
null
2023-02-05T12:29:20
oeisdata/seq/A012/A012366.seq
d21ff9835e87303626a5b997b0da45e2
A012367
arcsin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8...
[ "2", "4", "182", "4744", "529322", "48105484", "10255687262", "2093833598224", "726081240978002", "263899836304146964", "136202276398304865542", "76934684795610521975704", "55707277555172304209573882" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-12-31T15:13:56
oeisdata/seq/A012/A012367.seq
4de702173db2d078af023d3f1bce82a2
A012368
Duplicate of A009705.
[ "2", "4", "302", "8104", "947642", "86855404", "16203909542", "3130092938704" ]
[ "dead" ]
4
0
1
null
null
null
2008-06-29T03:00:00
oeisdata/seq/A012/A012368.seq
871c45e001d5d23dc1d023ae84de7de5
A012369
Duplicate of A009609.
[ "2", "4", "182", "4744", "287402", "21494284", "2264343902", "304602955024", "51600721945682" ]
[ "dead" ]
4
0
1
null
null
null
2008-06-29T03:00:00
oeisdata/seq/A012/A012369.seq
6842d69f8dfd335fd636397bdeb740d6
A012370
arcsinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...
[ "2", "4", "-58", "-1976", "116042", "17175244", "-594271858", "-470273780336", "-11672416091758", "34320709687067284", "5944386529990688342", "-5070047337737884665896", "-2469435785086687214539558" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-03-06T11:27:36
oeisdata/seq/A012/A012370.seq
6c9535fba7bcca7839cd425a0aecff43
A012371
Duplicate of A009815.
[ "2", "4", "-178", "-5336", "121082", "24994924", "661822982", "-273928948016" ]
[ "dead" ]
8
0
1
null
null
null
2023-02-05T12:27:22
oeisdata/seq/A012/A012371.seq
d4cf903007edba5a4240bc283f95944a
A012372
arctanh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+302/6!*x^6+8104/8!*x^8...
[ "2", "4", "302", "8104", "1189562", "113466604", "28069843622", "6004208983504", "2285772143562482", "867405503682334804", "478060568033873866142", "280896639757518649936504", "213833919524790465586194602" ]
[ "nonn" ]
10
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-02-15T12:54:04
oeisdata/seq/A012/A012372.seq
e54fa90c9402559728575f6480d391a8
A012373
sec(tan(x)*sin(x))=1+12/4!*x^4+120/6!*x^6+12432/8!*x^8...
[ "1", "0", "12", "120", "12432", "680640", "102772032", "14295765120", "3342487648512", "854980598876160", "298224965387983872", "119257847834622351360", "59074248780911484506112", "33687669462151354934968320" ]
[ "nonn" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:48
oeisdata/seq/A012/A012373.seq
07364e846fabcde3ffe25355852ea87e
A012374
sech(tan(x)*sin(x))=1-12/4!*x^4-120/6!*x^6+4368/8!*x^8...
[ "1", "0", "-12", "-120", "4368", "327360", "-762432", "-2379861120", "-176278202112", "34929443235840", "10554181240931328", "-234919154252175360", "-852275452306594394112", "-157606057918154970808320" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-01-31T09:39:25
oeisdata/seq/A012/A012374.seq
d5ec7759003b6d301f6c85ba50008458
A012375
exp(tan(x)*arcsin(x))=1+2/2!*x^2+24/4!*x^4+670/6!*x^6+33320/8!*x^8...
[ "1", "2", "24", "670", "33320", "2585578", "288966436", "44079504222", "8829945884336", "2255967459804498", "718404622768739004", "279841132618425752966", "131251206110226657893896", "73120300314496783663622266" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:48
oeisdata/seq/A012/A012375.seq
bdf38b57fd0ec44cef8c63ce5c578e03
A012376
sin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8...
[ "2", "12", "70", "-4200", "-589622", "-71780060", "-9953562866", "-1649406539984", "-331640559601518", "-81879655146380228", "-25184651270216865066", "-9774076865809985447224", "-4793386661964138913000614" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:48
oeisdata/seq/A012/A012376.seq
e4d9647279dcf9ba75d592e081c3b530
A012377
arcsin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8...
[ "2", "12", "310", "15960", "1517098", "224269540", "48197922526", "14130438821296", "5428021401209682", "2643726413982309052", "1592189299187949292422", "1161629303960888128771592", "1009558061720938140021739386" ]
[ "nonn" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:48
oeisdata/seq/A012/A012377.seq
3ebc488a74f8e0e32b88d1ba03f3880f
A012378
tan(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8...
[ "0", "2", "12", "430", "26040", "2661178", "402231940", "84456360742", "23476965450736", "8341678414816242", "3686586514781799292", "1982979948714026781726", "1275341677617693817452200", "966341800352400737116306986" ]
[ "nonn" ]
12
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-06T09:32:25
oeisdata/seq/A012/A012378.seq
9eeebad816cc68cbe25db575c44ebcec
A012379
Expansion of e.g.f. cos(tan(x)*arcsin(x)) (even powers only).
[ "1", "0", "-12", "-360", "-14000", "-705600", "-42520896", "-2581394816", "-50539790080", "43910434596864", "18893865109070848", "6357906196273494016", "1895076999147133456384", "366371561754009899909120", "-176926962056569654501195776", "-397908136700956338408562851840", "-528899949644745117870350321778688" ]
[ "sign" ]
18
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-08T08:44:38
oeisdata/seq/A012/A012379.seq
b48e65c814b6926bbc1f433cb9377193
A012380
sinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8...
[ "2", "12", "310", "15960", "1275178", "144435940", "22125155806", "4434275544496", "1132379391991122", "360443126615627452", "140377052282997200262", "65840588544634920144392", "36684663022679611837425786" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-04-16T16:48:31
oeisdata/seq/A012/A012380.seq
256558c739d302cb10e0796ef93482a4
A012381
arcsinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8...
[ "2", "12", "70", "-4200", "-347702", "8053540", "8370022414", "1537444327216", "-75026900539758", "-163917764618098628", "-46635653602838486826", "19561200248822504710856", "28903055462807082203920986" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-07-16T08:44:40
oeisdata/seq/A012/A012381.seq
e991c7271b683820945fdd189bdbdf57
A012382
tanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4-50/6!*x^6-14280/8!*x^8...
[ "2", "12", "-50", "-14280", "-1068422", "-30200060", "10958392198", "3463555073776", "545166839566962", "-49116089574216068", "-83255760459250654530", "-37791627619282937372632", "-5498203465858654403105814" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-11-26T17:13:09
oeisdata/seq/A012/A012382.seq
0c46b49ac0b8bf09b2d4a48cacad1c53
A012383
arctanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8...
[ "0", "2", "12", "430", "26040", "2903098", "482065540", "114403718182", "36427784932336", "15033693897929202", "7796959901543040892", "4965936966951067746846", "3810003526358223726689960", "3466033186882425920541836586" ]
[ "nonn" ]
13
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-05T09:26:45
oeisdata/seq/A012/A012383.seq
049e8377a85d0f974aef6f351600108c
A012384
cosh(tan(x)*arcsin(x))=1+12/4!*x^4+360/6!*x^6+17360/8!*x^8...
[ "1", "0", "12", "360", "17360", "1310400", "144530496", "21954348416", "4395670339840", "1123588067813376", "357961496153111552", "139464080335428552704", "65410617565591737749504", "36435637291817171826196480" ]
[ "nonn" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:48
oeisdata/seq/A012/A012384.seq
87548709b47ceb6ccae386fdaa5ca9db
A012385
sec(tan(x)*arcsin(x))=1+12/4!*x^4+360/6!*x^6+24080/8!*x^8...
[ "1", "0", "12", "360", "24080", "2520000", "388466496", "82494828416", "23101056559360", "8247662229497856", "3656849221865495552", "1971359917831265798144", "1269841106398055675924480", "963238435991748310206791680" ]
[ "nonn" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-04-21T17:27:52
oeisdata/seq/A012/A012385.seq
81de2c693c4fa9ba46cf7ed53085d389
A012386
sech(tan(x)*arcsin(x))=1-12/4!*x^4-360/6!*x^6-7280/8!*x^8...
[ "1", "0", "-12", "-360", "-7280", "504000", "121581504", "14369939584", "56810973440", "-657138821830656", "-255226784793623552", "-45397358372525164544", "15722139759017802895360", "20152649683846086682296320" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:50:48
oeisdata/seq/A012/A012386.seq
c25575d159984e5ac16db23783d827d6
A012387
Duplicate of A009518.
[ "0", "2", "16", "152", "-5504", "-1107808", "-155757824", "-22741022848", "-3557729644544" ]
[ "dead" ]
5
0
2
null
null
null
2007-05-11T03:00:00
oeisdata/seq/A012/A012387.seq
5f264d1c230a180c360f9c65b5df132f
A012388
arcsin(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+392/6!*x^6+21376/8!*x^8...
[ "0", "2", "16", "392", "21376", "2117792", "333550336", "76433892992", "23981418704896", "9862199971860992", "5144452992189485056", "3317894031273853601792", "2591931617534673513250816", "2411532576645611695219515392" ]
[ "nonn" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T05:53:12
oeisdata/seq/A012/A012388.seq
d40a52de4ae001289419b47ca7cd2680
A012389
Duplicate of A009710.
[ "2", "16", "512", "34816", "3821312", "618121216", "138682959872", "41171702972416" ]
[ "dead" ]
4
0
1
null
null
null
2005-07-19T03:00:00
oeisdata/seq/A012/A012389.seq
ff13af56fdd4099c9c646053d47798c0
A012390
Duplicate of A009613.
[ "2", "16", "392", "21376", "1875872", "227105536", "35750690432", "7110343684096" ]
[ "dead" ]
4
0
1
null
null
null
2008-06-29T03:00:00
oeisdata/seq/A012/A012390.seq
f3504b5c18072a80bdc49f7047e6e3da
A012391
arcsinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8...
[ "0", "2", "16", "152", "-5504", "-865888", "-49313024", "10192998272", "4634262163456", "729893872005632", "-280859292338008064", "-286057930617679095808", "-94104910901654903619584", "51677977224364973979901952" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-11-28T13:12:50
oeisdata/seq/A012/A012391.seq
9eefe1fac0d86ca7b28c5a2756d63664
A012392
Duplicate of A009819.
[ "2", "16", "32", "-18944", "-2146048", "-147605504", "12359002112", "9374161371136" ]
[ "dead" ]
6
0
1
null
null
null
2015-09-19T18:09:25
oeisdata/seq/A012/A012392.seq
96b8ebb2b8616936de3561e0b65b6143
A012393
E.g.f. arctanh(tan(x)*tan(x)) (even powers only).
[ "0", "2", "16", "512", "34816", "4063232", "724566016", "183240753152", "62382319599616", "27507470234550272", "15250953398036463616", "10384044045105304174592", "8517992937742473694806016", "8285310016381680852100186112" ]
[ "nonn" ]
32
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-12-30T04:16:46
oeisdata/seq/A012/A012393.seq
29add02b9d76a256dc2c8926f40a1f19
A012394
sec(tan(x)*tan(x))=1+12/4!*x^4+480/6!*x^6+32592/8!*x^8...
[ "1", "0", "12", "480", "32592", "3644160", "601225152", "136477985280", "40777726478592", "15519265846026240", "7330634507726810112", "4208431377781384765440", "2886028889205733569318912", "2330210584650322816604897280" ]
[ "nonn" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-08T06:00:59
oeisdata/seq/A012/A012394.seq
0d2e679f22de96d8d3dd16fd975cb9e9
A012395
sech(tan(x)*tan(x))=1-12/4!*x^4-480/6!*x^6-15792/8!*x^8...
[ "1", "0", "-12", "-480", "-15792", "387840", "232592448", "44951262720", "4538494871808", "-1173690989322240", "-1020600368000166912", "-406075179314308669440", "-50036577406600515366912", "87776293107173235762462720" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-02-27T16:06:03
oeisdata/seq/A012/A012395.seq
bd407baa433c78c73f4ba31708c891b5
A012396
Expansion of e.g.f. exp(arctan(x)*log(x+1)).
[ "1", "0", "2", "-3", "12", "-70", "418", "-2604", "20048", "-189288", "1883592", "-19386840", "226594632", "-3022978608", "42088762896", "-602721577080", "9458674967808", "-163559679584064", "2928052794471360", "-53694788632038144" ]
[ "sign" ]
12
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-01-29T02:53:45
oeisdata/seq/A012/A012396.seq
334dda48666199ab4b327ff3bcceb75e
A012397
Expansion of e.g.f. sin(arctan(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "88", "336", "-5040", "5256", "-39168", "4557960", "-52889760", "157744080", "-3302278800", "144206160840", "-1889577930240", "8430486227520", "-277909168727040", "12092516753915520", "-180143306775855360", "1024522489518595200", "-48298987852867664640", "2290850071901137232640" ]
[ "sign" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-19T02:56:56
oeisdata/seq/A012/A012397.seq
be92a6a0ec48fa04fb73728ae503c261
A012398
Expansion of e.g.f. arcsin(arctan(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "328", "-2184", "5040", "-40104", "1553472", "-21776040", "152681760", "-1439989200", "46442776560", "-1043187246360", "14230149373440", "-192510158608320", "5340852070126080", "-157714328056487040" ]
[ "sign" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-19T02:57:39
oeisdata/seq/A012/A012398.seq
fa9c24addb24d8c88ad6609c49b34742
A012399
arctan(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-32/6!*x^6...
[ "0", "0", "2", "-3", "0", "-10", "-32", "1596", "-10080", "27936", "-19008", "-4728240", "113762880", "-1378522080", "12151639680", "-24566643360", "-3018767431680", "84947924490240", "-1424022331422720", "18489594521756160", "-42627235124920320" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-11-28T18:27:17
oeisdata/seq/A012/A012399.seq
fe6bffbb7549180ed39a1b681021ffcd
A012400
Expansion of e.g.f.: cos(arctan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7...
[ "1", "0", "0", "0", "-12", "60", "-90", "420", "-11648", "88704", "-118440", "1491600", "-85167192", "865152288", "317981664", "19296033120", "-2535023513088", "30778504850304", "126137259616320", "388230513819264", "-214673614448387712" ]
[ "sign" ]
6
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-11-29T18:12:45
oeisdata/seq/A012/A012400.seq
1dc0ecf7b291637dc4528c9077a53704