Datasets:
christopher
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oeis

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2
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7
7
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sequence
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1
348
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8
score
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2.35k
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int64
-14,827
666,262,453B
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635M
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timestamp
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1999-12-11 03:00:00
2025-07-19 00:40:46
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29
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32
32
A012601
tan(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1114272/10!*x^10...
[ "2", "328", "1114272", "20199941760", "1186280710279680", "172712964365318522880", "52709992654283449278504960", "30048263806420071363529720627200" ]
[ "nonn" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:02
oeisdata/seq/A012/A012601.seq
db52d7c0e08668848f05f3b9369327a9
A012602
arctan(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+469152/10!*x^10...
[ "2", "-152", "469152", "-4992585600", "302439240061440", "-25272513424650885120", "8822979791130082266685440", "-2618340641057955264580458086400" ]
[ "sign" ]
5
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:02
oeisdata/seq/A012/A012602.seq
372f97c3bfcd155ee457d431d24eb64a
A012603
cos(arcsinh(x)*arcsin(x))=1-12/4!*x^4-3248/8!*x^8-19157952/12!*x^12...
[ "1", "-12", "-3248", "-19157952", "-518516045568", "-41950819968248832", "-7989124180734318489600", "-3074627327620950467600302080", "-2150601092109458094146556003287040" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:02
oeisdata/seq/A012/A012603.seq
e99c20ac0690b4c0b80b045ca4b1557a
A012604
arcsinh(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6+237312/10!*x^10...
[ "2", "-32", "237312", "-193551360", "135588570562560", "2430443434345758720", "4058321003957697899397120", "710876639818620094374865797120" ]
[ "sign" ]
5
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:02
oeisdata/seq/A012/A012604.seq
c10b83a60280c85b62f23474cf48a353
A012605
tanh(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+227232/10!*x^10...
[ "2", "-152", "227232", "-795112320", "44292972802560", "2002112058391603200", "937365267083373473341440", "444372302749315420373243166720" ]
[ "sign" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-12-14T15:13:41
oeisdata/seq/A012/A012605.seq
6b0a2eee42e3e7c05fa00679f8f024f4
A012606
arctanh(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1356192/10!*x^10...
[ "2", "328", "1356192", "31500831360", "2418220114014720", "464609611973533501440", "188067307050238642631516160", "142618740583722182161589570273280", "186051291917638041446935694923779932160", "391317863095797958317622752419738277068144640" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-01-17T14:31:58
oeisdata/seq/A012/A012606.seq
6bc89196fc8a8670694edda155357983
A012607
Expansion of e.g.f. cosh(arcsinh(x)*arcsin(x)) in powers of x^4.
[ "1", "12", "6608", "38672832", "1035058952448", "83042522104507392", "15719007594987094364160", "6022323864926672477183262720", "4197932412058374095614953273753600", "4922389796431785545171098869117903175680", "9142247102564078197343781800203076548024074240" ]
[ "nonn" ]
11
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-11-06T01:10:12
oeisdata/seq/A012/A012607.seq
9a2f315a7740ff8a2d7e860bc3bdfbd8
A012608
sec(arcsinh(x)*arcsin(x)) = 1+12/4!*x^4+13328/8!*x^8+117619392/12!*x^12...
[ "1", "12", "13328", "117619392", "4062867095808", "388601301012237312", "83771183547685073326080", "35504181228757953494366208000", "26841389346007019483917993990225920", "33654478025536204699103406849552997416960", "66134661422427811384963352725241987600886005760" ]
[ "nonn" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012608.seq
f2fbb1aa886c1a77988596bca54017c4
A012609
Expansion of e.g.f. sech(arcsinh(x)*arcsin(x)) in powers of x^4.
[ "1", "-12", "3472", "-20044992", "-47937777408", "-20305698249280512", "-2854719816291959009280", "-1250271985277826533770444800", "-852308886538376231161133484933120", "-1020041468410487908146642041792342261760", "-1902990477565541776130152995745141108333608960" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-11-06T01:10:34
oeisdata/seq/A012/A012609.seq
db7139183436d8626f891caca3e95f63
A012610
Expansion of e.g.f. exp(arcsinh(x)*tan(x)) (even powers only).
[ "1", "2", "16", "350", "12248", "734218", "55640396", "6572508462", "822057317136", "170181011188626", "28436167156754964", "10592613470009612406", "1668642302509175576856", "1486955058235797307115866", "7689153648829475517246236", "472651116807461744585332416574", "-170571204803370595086655592041440" ]
[ "sign" ]
13
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-02-25T20:38:52
oeisdata/seq/A012/A012610.seq
93ea55f55dbf77896b436c92808683b2
A012611
sin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8...
[ "0", "2", "4", "-10", "-2872", "-158102", "-16416820", "-978422562", "-208568114544", "49226001618", "-7815364604207468", "2061047671608594374", "-1093492387339592903336", "671330623551827250908986", "-418843222601740399516096420", "353969402613094069055715957934" ]
[ "sign" ]
11
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-06-24T13:54:34
oeisdata/seq/A012/A012611.seq
a58c308c1ef4ccab20ad968d73348add
A012612
arcsin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+230/6!*x^6+3848/8!*x^8...
[ "2", "4", "230", "3848", "739018", "41124620", "15086858670", "1991912000016", "1097015309746578", "280098851345357332", "209537736711807583862", "90218727574059928609048", "87280770952178581593296986" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-11-27T15:11:07
oeisdata/seq/A012/A012612.seq
d160ef4d174541f3b2f69f41fec731e3
A012613
tan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8...
[ "0", "2", "4", "350", "7208", "1278298", "79874540", "24248146806", "3094746649296", "1450703467495218", "311518889830786132", "210537148539150077966", "67821849231894539132920", "62959878878133692157576586" ]
[ "nonn" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-31T10:48:56
oeisdata/seq/A012/A012613.seq
30ea00676eaf7400d819fc69e9e655f7
A012614
arctan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8...
[ "2", "4", "-130", "-6232", "209818", "44625260", "939197142", "-1343575704624", "-152431176198222", "67149769157026132", "36962943443013410990", "-7115636282012573400968", "-9527526213390925911666614" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:03
oeisdata/seq/A012/A012614.seq
00ae2608bd153d98e47d90772af0a34f
A012615
cos(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6-5040/8!*x^8...
[ "1", "0", "-12", "-120", "-5040", "-35520", "-10080576", "1291774848", "-129155669760", "70025050601472", "-12621771155397632", "7717419122045659136", "-2918362206037173678080", "1928021073359516653240320", "-1209535003923466323711246336", "977832736949625091059703971840" ]
[ "sign" ]
10
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-12-16T17:43:10
oeisdata/seq/A012/A012615.seq
a470a948cd7872da0ef98fe0f5fbfaed
A012616
arcsinh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8...
[ "0", "2", "4", "-10", "-2872", "83818", "10194380", "1201034718", "-434124645744", "-21017961579822", "3112138256976532", "12699119070248719814", "-2651876213664722621096", "-900449010135889648937414" ]
[ "sign" ]
11
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-31T10:58:08
oeisdata/seq/A012/A012616.seq
3c615f7b524b8b9e67955974e51f2171
A012617
E.g.f.: tanh(arcsinh(x)*tan(x)) = 2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8...
[ "2", "4", "-130", "-6232", "-32102", "18014060", "2634330582", "-33133771824", "-37925465839182", "-16267772522154668", "2012491810909723310", "52146402203293345912", "867090565519403243923786", "-388470254962420081890970180", "207203200777273698360429465094" ]
[ "sign" ]
16
1
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-30T12:53:55
oeisdata/seq/A012/A012617.seq
57ceb1b793d7bdc172e4f76ff76a124d
A012618
arctanh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8...
[ "0", "2", "4", "350", "7208", "1520218", "106485740", "38051376246", "6123846322896", "3217389043510578", "964215477538459732", "692917532440212444686", "338776184246581290006520", "318786053587029917056642186" ]
[ "nonn" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-31T12:07:37
oeisdata/seq/A012/A012618.seq
0fc73a3eda2f695530bddceb404fcc4c
A012619
cosh(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+8400/8!*x^8...
[ "1", "0", "12", "120", "8400", "237120", "41126976", "1414288512", "774359589120", "-7305842952192", "43904341686828032", "-6519096982922602496", "6522454342040400908288", "-2519478812073315269099520" ]
[ "sign" ]
10
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2021-12-20T15:14:52
oeisdata/seq/A012/A012619.seq
29330fe28335230e313d9df4e8cbac05
A012620
sec(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+15120/8!*x^8...
[ "1", "0", "12", "120", "15120", "640320", "143136576", "14091272832", "5105629251840", "906008454739968", "490783256100396032", "136461255865204086784", "104233836908816608661504", "41544908070600747941806080" ]
[ "nonn" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2025-06-16T11:26:33
oeisdata/seq/A012/A012620.seq
f9a9c592dbe333062b9718b46ab6e5ac
A012621
sech(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6+1680/8!*x^8...
[ "1", "0", "-12", "-120", "1680", "367680", "12095424", "-560956032", "-447394871040", "-8068784621568", "-1294533276204032", "6639186363172284416", "-1043706052752056152064", "641443809049086939217920" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-08-27T15:30:57
oeisdata/seq/A012/A012621.seq
f30a1f39a8b543ba3977e0695eeecaab
A012622
Expansion of e.g.f. exp(arcsinh(x)*arctan(x)) (even powers only).
[ "1", "2", "0", "-2", "56", "-2358", "136092", "-8379282", "-86371632", "375439810578", "-214530925771068", "116413070752178550", "-68704024823157716040", "45584029026653621816730", "-34279883031448204487212500" ]
[ "sign" ]
15
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-09-05T20:04:31
oeisdata/seq/A012/A012622.seq
cc96b248d37bf7f3976f34432a2e13cd
A012623
sin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8...
[ "2", "-12", "118", "168", "-314838", "60653340", "-12586913250", "3145598341200", "-959740793965230", "355199264316850500", "-157666664319013951290", "82936567630998372808440", "-51114833501551851944029830" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:03
oeisdata/seq/A012/A012623.seq
a7406716fd09bd9cdf7f62ff9280e61d
A012624
arcsin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+358/6!*x^6-19992/8!*x^8...
[ "2", "-12", "358", "-19992", "2033802", "-315229860", "70634865390", "-21500632868400", "8568722761815570", "-4328828352860125500", "2705283169021072846710", "-2049095504528923919551560", "1849840972092365870411519130" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-03-20T18:39:32
oeisdata/seq/A012/A012624.seq
e8adcee18035c26644800572e4e9429a
A012625
tan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...
[ "2", "-12", "478", "-30072", "3298842", "-533109060", "120154935990", "-35890600460400", "13718452402856370", "-6526678990152469500", "3781159226914921390350", "-2620167311178014908602600", "2139645753650552865382712010" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:03
oeisdata/seq/A012/A012625.seq
4297e6952a9a91f98777729cc17db051
A012626
arctan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4-2/6!*x^6+10248/8!*x^8...
[ "0", "2", "-12", "-2", "10248", "-672678", "-20843460", "16777261590", "-2958597356400", "-195442688499150", "352062527506877700", "-110808084056350289490", "-28855116263423436192360", "55915766816627672060266890" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-11-28T19:49:16
oeisdata/seq/A012/A012626.seq
beacb907d55090c90a2b2bc41ae77259
A012627
cos(arcsinh(x)*arctan(x))=1-12/4!*x^4+360/6!*x^6-16688/8!*x^8...
[ "1", "0", "-12", "360", "-16688", "1189440", "-122878272", "17448342912", "-3261902393088", "775178137884672", "-227406029305961472", "80264949964203755520", "-33279338195895762923520", "15813964958377484261376000" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-03-27T19:29:56
oeisdata/seq/A012/A012627.seq
1ff878333579706d4d663e8e20faee11
A012628
arcsinh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8...
[ "2", "-12", "118", "168", "-72918", "-19180260", "7673967390", "-1668580628400", "206209417380690", "17149380702207300", "-8171629445251404090", "-13542042383228350058760", "18432243823017229137614970" ]
[ "sign" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-12-30T10:56:17
oeisdata/seq/A012/A012628.seq
ec969a29e50bbb2b6f876f55b8b42315
A012629
Expansion of e.g.f. tanh(arcsinh(x)*arctan(x)) (only even powers).
[ "0", "2", "-12", "-2", "10248", "-914598", "58990140", "390971670", "-1399074591600", "414051949573170", "-75189740418805500", "-1988456671385842770", "10786170755283590925720", "-6649588570098570005749110", "2348244702630162770320062540", "166785234190504460598054627270", "-1188356567924627353096569058456800" ]
[ "sign" ]
20
0
2
[ "A012160", "A012626", "A012629" ]
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2025-01-25T04:28:45
oeisdata/seq/A012/A012629.seq
7ea78feeb878f672afcf475b40582e32
A012630
arctanh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...
[ "2", "-12", "478", "-30072", "3540762", "-612942660", "152039588790", "-50468748044400", "21718174357721010", "-11738352932289531900", "7790876172172937111310", "-6228079669260433576829160", "5903220687917269513392843210" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-08-02T19:01:49
oeisdata/seq/A012/A012630.seq
5e46fa9dd92e3489aa4a88c10119e8f6
A012631
cosh(arcsinh(x)*arctan(x))=1+12/4!*x^4-360/6!*x^6+20048/8!*x^8...
[ "1", "0", "12", "-360", "20048", "-1794240", "235532352", "-42633182592", "10177055117568", "-3097788814190592", "1171100833288338432", "-538330446029312133120", "295703061186623293870080", "-191289947652383750277120000" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:03
oeisdata/seq/A012/A012631.seq
764d714bd8b0c377ddf64b15930a96f7
A012632
sec(arcsinh(x)*arctan(x))=1+12/4!*x^4-360/6!*x^6+26768/8!*x^8...
[ "1", "0", "12", "-360", "26768", "-3003840", "500757312", "-114797434752", "34719912016128", "-13385737151096832", "6408112715151793152", "-3729311544255904696320", "2592887206723575200256000", "-2122643658026530680956928000" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-11-08T13:24:23
oeisdata/seq/A012/A012632.seq
e00002ad050bdc91c70dc3af1bc2e996
A012633
sech(arcsinh(x)*arctan(x))=1-12/4!*x^4+360/6!*x^6-9968/8!*x^8...
[ "1", "0", "-12", "360", "-9968", "-20160", "62513088", "-11126763648", "1288066390272", "19652873951232", "-83472832434404352", "36956701107235768320", "-9713959158890293555200", "-340935340396162516992000" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-21T11:39:44
oeisdata/seq/A012/A012633.seq
88489dc9896978c0b27b798bb9391544
A012634
E.g.f.: exp(arcsinh(x)*cos(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4-15/5!*x^5...
[ "1", "1", "1", "-3", "-15", "-15", "225", "1029", "-3423", "-46239", "58305", "2582701", "-3367023", "-223494895", "750974497", "31551766453", "-195722347967", "-6578644464703", "56832659001729", "1828823841664733", "-19485490128305615" ]
[ "sign" ]
10
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:35:55
oeisdata/seq/A012/A012634.seq
4ae602d2dd6c0e31b485f4f760250768
A012635
sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9...
[ "1", "-5", "65", "-2221", "119873", "-9786229", "1171166529", "-194493711517", "42939774236801", "-12195226930738277", "4336542878659585857", "-1888009822588324263693", "987916087242245073188545" ]
[ "sign" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:36:02
oeisdata/seq/A012/A012635.seq
395e3e1b7674787a1d830715f88cb5a3
A012636
arcsin(arcsinh(x)*cos(x))=x-3/3!*x^3-7/5!*x^5+133/7!*x^7+21233/9!*x^9...
[ "1", "-3", "-7", "133", "21233", "-943283", "-64681879", "-10372748843", "6179882408929", "-384576977940067", "-23526100511419175", "-184617412046324669403", "96969651542601504466641", "-10475657438994641401987347" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:03
oeisdata/seq/A012/A012636.seq
4c926faa1531972d4d89c41f3a276a51
A012637
tan(arcsinh(x)*cos(x))=x-2/3!*x^3-40/5!*x^5+824/7!*x^7+34880/9!*x^9...
[ "1", "-2", "-40", "824", "34880", "-3510784", "-105236352", "50170105088", "-740139765760", "-1822790066204672", "239991990818783232", "116554901577925656576", "-41369324496338787860480", "-15006195846954859719360512" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-09-05T19:04:52
oeisdata/seq/A012/A012637.seq
e88eae5270567a419ce14d888c5c3c6c
A012638
arctan(arcsinh(x)*cos(x))=x-6/3!*x^3+128/5!*x^5-7784/7!*x^7...
[ "1", "-6", "128", "-7784", "863168", "-153777536", "40156766336", "-14452100967680", "6857570007949312", "-4148412279035834368", "3116288727548544729088", "-2846053921629037944078336", "3105570670613041972460814336" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-04-17T17:22:19
oeisdata/seq/A012/A012638.seq
f7bd36367b17c8f5fe44cdf46205da90
A012639
cos(arcsinh(x)*cos(x))=1-1/2!*x^2+17/4!*x^4-385/6!*x^6+15073/8!*x^8...
[ "1", "-1", "17", "-385", "15073", "-1010945", "101590513", "-14396384769", "2765830859457", "-694784293696513", "221386930443511505", "-87298037019243856513", "41742102489497599699873", "-23796035609379191857799425" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:36:15
oeisdata/seq/A012/A012639.seq
74e2feb1cc0a7ca67b92fe33c432958f
A012640
arcsinh(arcsinh(x)*cos(x))=x-5/3!*x^3+73/5!*x^5-3565/7!*x^7...
[ "1", "-5", "73", "-3565", "337873", "-53181845", "12563583641", "-4158179320061", "1836546568939681", "-1043609929405146661", "741652625178569817577", "-644417189348695489885965", "672084091294680203529876081" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012640.seq
7d7b78dff501fdd8c23c49631b8ad8a7
A012641
tanh(arcsinh(x)*cos(x))=x-6/3!*x^3+120/5!*x^5-6216/7!*x^7...
[ "1", "-6", "120", "-6216", "548544", "-74860544", "14571230336", "-3827313412352", "1304171528695808", "-559299942314340352", "294737591597024591872", "-187195194238509459439616", "141014910901971840963870720" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-04T17:59:15
oeisdata/seq/A012/A012641.seq
51a8f04ea87d5905a1c337f21c53c647
A012642
arctanh(arcsinh(x)*cos(x))=x-2/3!*x^3-32/5!*x^5+152/7!*x^7+48448/9!*x^9...
[ "1", "-2", "-32", "152", "48448", "289408", "-393649024", "-34249082624", "12871254335488", "2591959365570560", "-694262452828553216", "-534293242711984668672", "97599429997759939117056", "140451121892184627503628288" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:36:22
oeisdata/seq/A012/A012642.seq
1eb663a025e190cb14c1bf84d4fd8615
A012643
cosh(arcsinh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+225/6!*x^6-3423/8!*x^8...
[ "1", "1", "-15", "225", "-3423", "58305", "-3367023", "750974497", "-195722347967", "56832659001729", "-19485490128305615", "8027995798338091873", "-3957958222909649739039", "2309625363907160407164225" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:36:28
oeisdata/seq/A012/A012643.seq
1bb6fb863719d6b5e47aa65183178706
A012644
sec(arcsinh(x)*cos(x))=1+1/2!*x^2-11/4!*x^4-35/6!*x^6+7817/8!*x^8...
[ "1", "1", "-11", "-35", "7817", "-79975", "-36304963", "2699226933", "396427182993", "-87651048858959", "-16569660529400315", "10430924939842521613", "-942407687412636958951", "-611722217603320514811575" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2021-06-16T10:41:50
oeisdata/seq/A012/A012644.seq
2d82bb7c2ee3796b9d6638ac71f418f7
A012645
sech(arcsinh(x)*cos(x))=1-1/2!*x^2+21/4!*x^4-765/6!*x^6+53193/8!*x^8...
[ "1", "-1", "21", "-765", "53193", "-6008025", "993328413", "-226691205013", "68261145008657", "-26216583047151921", "12507068079360896165", "-7255577391165958142893", "5029681350011635244424921", "-4106028806747521109741788425" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-05-15T16:46:23
oeisdata/seq/A012/A012645.seq
1c78b690963fc266839900e50b045ecd
A012646
exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8...
[ "1", "2", "12", "160", "2576", "95488", "668096", "402731264", "-50491782912", "14988492926976", "-4720247498150912", "1909488749227393024", "-925515319787778355200", "534630384211887797927936", "-362170991481315590982090752" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:35:33
oeisdata/seq/A012/A012646.seq
9c89484a838d629b110844a2e2854710
A012647
sin(arcsinh(x)*sinh(x))=2/2!*x^2-80/6!*x^6-1344/8!*x^8+14848/10!*x^10...
[ "0", "2", "0", "-80", "-1344", "14848", "-478720", "233089792", "-40950956032", "10897158856704", "-3658314845569024", "1494490439452852224", "-737151399778288664576", "431277629004040408989696", "-295401420454303808123568128" ]
[ "sign" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:35:25
oeisdata/seq/A012/A012647.seq
5400aaa7050b42a4e5957131901adf69
A012648
exp(arcsinh(x)*arcsinh(x))=1+2/2!*x^2+4/4!*x^4+8/6!*x^6-240/8!*x^8...
[ "1", "2", "4", "8", "-240", "17952", "-1948608", "295020672", "-59798806272", "15680355451392", "-5172616470494208", "2098138466506967040", "-1026884688371863449600", "596895972998821973729280", "-406569645650910092250562560" ]
[ "sign" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T05:35:14
oeisdata/seq/A012/A012648.seq
73aa50e49c4ce49570e3ae2753ebdb4f
A012649
sin(arcsinh(x)*arcsinh(x))=2/2!*x^2-8/4!*x^4+8/6!*x^6+2112/8!*x^8...
[ "0", "2", "-8", "8", "2112", "-199008", "22569600", "-3419806080", "685509888000", "-177249701752320", "57657923420313600", "-23084838758992066560", "11165823102677176074240", "-6422018427189941047418880" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2025-02-16T15:52:33
oeisdata/seq/A012/A012649.seq
8bf05721590e9b0c8f8bf13ee5983025
A012650
Expansion of e.g.f. sin(tanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "40", "504", "-2352", "-4824", "-182912", "3899720", "-27876640", "234373776", "-5435914640", "91625675400", "-1149581257216", "18172484297792", "-366469643887104", "6826755069373824", "-123759250799610112" ]
[ "sign" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-02-27T13:26:45
oeisdata/seq/A012/A012650.seq
69c30d30d333e03783fceb9b12cfd56f
A012651
Expansion of e.g.f. arcsin(tanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "280", "-2016", "7728", "-50184", "1167808", "-18442600", "185678240", "-1830386064", "35948019952", "-830271781080", "14637146499584", "-224802165350848", "4566858920948736", "-123373361063129472" ]
[ "sign" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2025-03-10T17:28:40
oeisdata/seq/A012/A012651.seq
bbfd7009a01317df41d35e1a7f639953
A012652
Expansion of e.g.f.: tan(tanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "400", "-3276", "12768", "-72864", "1933888", "-32108560", "322393280", "-3122225184", "60417280768", "-1349906937120", "23068109840384", "-351887538631168", "6985288388898816", "-174933529672527360" ]
[ "sign" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-06-19T18:46:50
oeisdata/seq/A012/A012652.seq
f55546917ea9eff02fdf2075306d636e
A012653
Expansion of e.g.f. arctan(tanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "-80", "1764", "-7392", "17856", "-41792", "-7382320", "134784320", "-1068379104", "7660192384", "35293839840", "-4466084847616", "93476460710912", "-1176630882269184", "10358160914068992", "214589448557477888" ]
[ "sign" ]
7
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-23T20:14:08
oeisdata/seq/A012/A012653.seq
3f84100ce1a9ffa4606bcdb1d722395f
A012654
E.g.f.: sinh(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+280/6!*x^6...
[ "0", "0", "2", "-3", "0", "-10", "280", "-2016", "7728", "-50184", "925888", "-11789800", "105844640", "-1138494864", "18956325232", "-310531760280", "4485718813184", "-69904446374848", "1305162861566976", "-25605760011368832", "494580429732524288" ]
[ "sign" ]
7
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-06-08T16:33:42
oeisdata/seq/A012/A012654.seq
343b01e06a0a0b7258aec29edd1c67e9
A012655
Expansion of e.g.f. arcsinh(tanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "40", "504", "-2352", "-4824", "59008", "-2753080", "51956960", "-457517424", "3806598640", "-21282319800", "-762122185216", "20040705852992", "-230870869215744", "1622064680555904", "59149402039301888" ]
[ "sign" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-08-27T09:00:58
oeisdata/seq/A012/A012655.seq
c9564a698909106dbaa572d3eab437f4
A012656
Expansion of e.g.f. tanh(tanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "0", "-10", "-80", "1764", "-7392", "17856", "-283712", "-729520", "54950720", "-376487904", "2292269824", "-55214177760", "28440387584", "13225268890112", "-126040313401344", "1502866020183552", "-50075653378957312", "223574694389975040", "11796635075419975680", "-128448524174854445056" ]
[ "sign" ]
14
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-24T02:51:56
oeisdata/seq/A012/A012656.seq
bc520822ac8bdf703e6478a066c23cab
A012657
E.g.f.: sec(tanh(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", "19040", "-245952", "1660680", "-12025200", "266431176", "-5435780064", "74009711776", "-910402889760", "17440536006400", "-420186078195584", "8609810161550016", "-157606804730862720" ]
[ "sign" ]
6
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-06-03T09:36:09
oeisdata/seq/A012/A012657.seq
b3ecc5fe3584d7808a7f3241ecffb1ad
A012658
sech(tanh(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", "-2240", "-56448", "607320", "-1834800", "23242824", "-229079136", "-4388159776", "77755073760", "-443094745600", "10064071501184", "-151026375297216", "-1331806005060480", "38225434479768448" ]
[ "sign" ]
4
0
5
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:03
oeisdata/seq/A012/A012658.seq
1696db0668b602d1b7dd14ea077aefd7
A012659
Expansion of e.g.f. arcsin(tanh(x) * exp(x)).
[ "0", "1", "2", "2", "8", "80", "512", "3992", "47168", "588800", "7903232", "124255232", "2161507328", "40505429120", "829919658752", "18433385276672", "438231826239488", "11136829247959040", "301669044409475072", "8662857659856269312" ]
[ "nonn" ]
9
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-24T09:42:56
oeisdata/seq/A012/A012659.seq
b252a18bbc89581630b40f23456a15de
A012660
Expansion of e.g.f. arctan(tanh(x) * exp(x)).
[ "0", "1", "2", "-1", "-28", "-115", "422", "10859", "62792", "-658855", "-17714998", "-105832681", "2697504812", "73345212005", "348796937582", "-22580196404221", "-608734768217968", "-1123101121107535", "335099557538486162", "8749237741065576239", "-28959745091935025548", "-8005533865658264577475" ]
[ "sign" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-24T09:44:06
oeisdata/seq/A012/A012660.seq
718a33e156a84ba546308d302182bea8
A012661
Expansion of e.g.f. arcsinh(tanh(x) * exp(x)).
[ "0", "1", "2", "0", "-16", "-60", "152", "4200", "25664", "-186480", "-5704288", "-39336000", "690642944", "20876856000", "130293779072", "-5328943401600", "-157981983410176", "-643110850533120", "73817890476319232", "2117532947966822400", "-32035386635677696", "-1662866885052169251840", "-45187519429186322679808" ]
[ "sign" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-24T09:44:12
oeisdata/seq/A012/A012661.seq
aa6224e2888b757076e54818f94e26c3
A012662
sec(tanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...
[ "1", "0", "1", "6", "21", "100", "957", "8498", "70217", "762696", "9950809", "128378910", "1775380893", "28325140012", "483428842197", "8558590549322", "163465935697169", "3367220579004048", "72712394227734577", "1648059951297530166" ]
[ "nonn" ]
4
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012662.seq
3f328ce8e473fde4cc251cd9783bd0a7
A012663
Expansion of e.g.f.: sech(tanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...
[ "1", "0", "-1", "-6", "-11", "100", "1043", "2702", "-47287", "-697656", "-2382009", "65150690", "1227815037", "4876299948", "-197964434917", "-4452683466122", "-19212329422319", "1119650941512592", "28926172679801103", "128264089711760074" ]
[ "sign" ]
6
0
4
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-06-23T15:14:57
oeisdata/seq/A012/A012663.seq
8608cc920ec55a57f268bf57770a6a82
A012664
arcsinh(tanh(x)*sin(x))=2/2!*x^2-12/4!*x^4+22/6!*x^6+6888/8!*x^8...
[ "0", "2", "-12", "22", "6888", "-422998", "-19858212", "10668149182", "-1244673483312", "-393680785867438", "254550574752219588", "-30031176795810056858", "-50358282178393089181512", "38448631613848702263196922" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-02T08:03:22
oeisdata/seq/A012/A012664.seq
7506c5d92e177e1ecde0a37ba765e91f
A012665
exp(tanh(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+110/6!*x^6+4552/8!*x^8...
[ "1", "2", "8", "110", "4552", "259978", "26613556", "3743931438", "726661861104", "184792697093010", "59372516216901100", "23630807435854817398", "11376266381571626239720", "6525912682382427845314906" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012665.seq
48287edbab9c02d1cd383bd43b8d4825
A012666
sinh(tanh(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+230/6!*x^6-3848/8!*x^8...
[ "2", "-4", "230", "-3848", "497098", "-14513420", "5158219950", "-47697728016", "177486854140818", "15468174530073068", "17111710452932214902", "4853812039531225331432", "4006433870309112576215386" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012666.seq
b8afbf4ee24858841b04f189e1e0eac8
A012667
Expansion of sin(tanh(x)*tan(x)).
[ "2", "-8", "-159328", "-1254489728", "-20109957303808", "-562928915963168768", "-18213125504516311441408", "1487241135313514473061711872" ]
[ "sign" ]
11
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-09-16T13:59:33
oeisdata/seq/A012/A012667.seq
3233ebbdf9c43d12b934d87b3f542274
A012668
arcsin(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+647072/10!*x^10...
[ "2", "232", "647072", "11510902912", "730537735434752", "121024350517590894592", "43334092203148352120594432", "29569225337018517420748948406272", "35135401746397350937514453454595162112", "67930055172164174273112190776969951565053952" ]
[ "nonn" ]
8
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-09-21T11:14:57
oeisdata/seq/A012/A012668.seq
97d592474a1a8f8c2bfc8c1e9938baf1
A012669
Expansion of tan(tanh(x)*tan(x)).
[ "2", "352", "1140992", "18447112192", "921987413245952", "110532127751546601472", "27112825353492257048625152", "12196239245956706589164638830592" ]
[ "nonn" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-03-22T11:01:41
oeisdata/seq/A012/A012669.seq
3d4c0bcf34714ea0501f78ffc80ed4b8
A012670
arctan(tanh(x)*tan(x))=2/2!*x^2-128/6!*x^6+253952/10!*x^10...
[ "2", "-128", "253952", "-2863136768", "107451055603712", "-10140668012798148608", "2022780765718183801782272", "-757569427466144902069404827648" ]
[ "sign" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012670.seq
1db41d796910efc3b088377c25f10f3b
A012671
sinh(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+405152/10!*x^10...
[ "2", "232", "405152", "3115956352", "68413355397632", "3412444856961083392", "334650367409781717573632", "58337032599905770133366013952", "16778439915509994766212708150935552", "7517731717169060247294932882974199775232" ]
[ "nonn" ]
10
0
1
[ "A009671", "A012671" ]
null
R. H. Hardin, Patrick Demichel (patrick.demichel(AT)hp.com)
2015-03-08T14:33:09
oeisdata/seq/A012/A012671.seq
72f2eb20dc3f9eb555e41dcde6846e88
A012672
arcsinh(tanh(x)*tan(x)) = 2/2!*x^2-8/6!*x^6+82592/10!*x^10...
[ "2", "-8", "82592", "-608724608", "22327881339392", "-1873956615576209408", "347762137588896627924992", "-121417393113776577986657681408", "73797732351936752045312739712827392", "-72816242431281104821128628533638537412608", "110758942324721681029366683611691936115004014592" ]
[ "sign" ]
13
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-03T10:50:39
oeisdata/seq/A012/A012672.seq
d77d091e31cac80baddead28d96ece6a
A012673
Expansion of tanh(tanh(x)*tan(x)).
[ "2", "-128", "12032", "365688832", "-2002811158528", "-67148259011330048", "3766780331499896963072", "40680896591210190242578432", "-72225295511520670153244114157568" ]
[ "sign" ]
7
0
1
[ "A009823", "A012673" ]
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012673.seq
faa125a0937e428a938343944a27715c
A012674
sec(tanh(x)*tan(x)) = 1+12/4!*x^4+14672/8!*x^8+120702912/12!*x^12...
[ "1", "12", "14672", "120702912", "3622154930432", "288623184943967232", "50388328491376236941312", "16943473357578443028001308672", "10004545242456252590707488012173312" ]
[ "nonn" ]
5
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012674.seq
8f6f62ec816d1fdcf92cc6bfa7c8839c
A012675
sech(tanh(x)*tan(x))=1-12/4!*x^4+2128/8!*x^8+3482688/12!*x^12...
[ "1", "-12", "2128", "3482688", "-28510476032", "-29203453996032", "18429307563035250688", "-709977989050867131727872", "-146234048852276431866584563712", "20573909798214617779391304930951168" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-09-10T14:46:06
oeisdata/seq/A012/A012675.seq
cdafa49013ddf2bff01c94a55a0016c7
A012676
exp(tanh(x)*arctan(x))=1+2/2!*x^2-4/4!*x^4-40/6!*x^6+2704/8!*x^8...
[ "1", "2", "-4", "-40", "2704", "-135392", "6955456", "-305645184", "-7730286336", "7469091807744", "-2423718751585280", "765682386623223808", "-278356000956737810432", "126892576689335471251456" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012676.seq
3f8eb18d30de32e8e5d92ae01db73db5
A012677
sin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8...
[ "2", "-16", "200", "1024", "-765152", "142708480", "-27846619008", "6367245656064", "-1746851978927616", "576681176370802688", "-228223153506206857216", "107581169796591942238208", "-59934829639539220412555264" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-11-24T11:45:55
oeisdata/seq/A012/A012677.seq
9e930fdcac6ef2f1d65e7c0a79c2befe
A012678
arcsin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8...
[ "2", "-16", "440", "-25856", "2702368", "-442400000", "104680527744", "-33826438987776", "14318658795815424", "-7689929339111084032", "5108988246588765059072", "-4113772753950316528205824", "3947181962951541949825294336" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-11-22T18:20:34
oeisdata/seq/A012/A012678.seq
0f66851664b9ea11d1509d438bec8716
A012679
tan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+560/6!*x^6-39296/8!*x^8...
[ "2", "-16", "560", "-39296", "4526848", "-774871040", "184332195840", "-58099536592896", "23416511012143104", "-11741974762852974592", "7167152797622391013376", "-5231209742433608374681600", "4498538959739976198689652736" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-06-16T18:34:08
oeisdata/seq/A012/A012679.seq
0e2fc2c9383d13f0be43062bdd4814b0
A012680
arctan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...
[ "0", "2", "-16", "80", "14464", "-1682432", "76011520", "26175092736", "-10889734127616", "1790915255599104", "628448342217064448", "-708415309969044275200", "277815404352915818676224", "89144743290434384702734336" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-11-28T19:50:54
oeisdata/seq/A012/A012680.seq
3733e0218c82b739c3d91fa2a199deb5
A012681
cos(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-25200/8!*x^8...
[ "1", "0", "-12", "480", "-25200", "1789440", "-165502656", "18976409088", "-2521802100480", "337469315481600", "-20084172331338752", "-21802197506685280256", "22192552544232587431936", "-18125174754251391091998720" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-05-23T10:48:31
oeisdata/seq/A012/A012681.seq
9b9346a2ad04ceed644d6d06752ca605
A012682
sinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8...
[ "2", "-16", "440", "-25856", "2460448", "-335955200", "62060029824", "-14940576792576", "4555904588849664", "-1719063029232504832", "787080093043649165312", "-430107147338505961406464", "276606088476056370612084736" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-01-01T12:44:07
oeisdata/seq/A012/A012682.seq
de52957f4c5eab47fdb2f158857e51de
A012683
arcsinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8...
[ "2", "-16", "200", "1024", "-523232", "36263680", "7024697472", "-3839533326336", "933770326393344", "5856130402316288", "-153024990104004376576", "83925295292036381278208", "4161808298471932199182336" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-06-10T16:16:49
oeisdata/seq/A012/A012683.seq
4a5586c3e1c64990f7b2a4f3fac609c4
A012684
tanh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...
[ "2", "-16", "80", "14464", "-1924352", "182456320", "-4821633024", "-5022496751616", "2274499602284544", "-641508042469015552", "58440162971714846720", "91048038738283980652544", "-93320295604487977397387264" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012684.seq
41f46cf653ee5003ca2eded1bbbaaa5a
A012685
cosh(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+28560/8!*x^8...
[ "1", "0", "12", "-480", "28560", "-2595840", "342910656", "-62365675008", "14932846506240", "-4548435497041920", "1716639310480919552", "-786314410657025941504", "429828791337549223596032", "-276479195899367035140833280" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-08-20T14:16:50
oeisdata/seq/A012/A012685.seq
103b94089837c963b66c37d8824b8567
A012686
sec(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+35280/8!*x^8...
[ "1", "0", "12", "-480", "35280", "-4208640", "737643456", "-178203637248", "56744323733760", "-23028982493429760", "11602867906455268352", "-7105927543880909185024", "5198792960623369943994368", "-4478214849312972324010721280" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:04
oeisdata/seq/A012/A012686.seq
82e06ab508618c6e26148beb0819a531
A012687
sech(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-18480/8!*x^8...
[ "1", "0", "-12", "480", "-18480", "176640", "149396544", "-38742692352", "6743113079040", "-363222941859840", "-455485254371044352", "322516524038804660224", "-135316725169663246512128", "19655917963465137568481280" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-04-19T09:03:14
oeisdata/seq/A012/A012687.seq
5c6b6ef24ee82a6ebb8d0d1ccf0ff861
A012688
arcsin(tanh(x)*cos(x))=x-4/3!*x^3+576/7!*x^7+8960/9!*x^9...
[ "1", "-4", "0", "576", "8960", "-2566144", "-79073280", "51695271936", "3314973409280", "-3424245425373184", "-358564361388687360", "553778978731900010496", "86787459990613183692800", "-186450610504520626836865024" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012688.seq
3668fca0915a037d14f6bdfa9440751b
A012689
arctan(tanh(x)*cos(x))=x-7/3!*x^3+165/5!*x^5-10827/7!*x^7...
[ "1", "-7", "165", "-10827", "1316585", "-257028847", "73616009805", "-29070305745267", "15137914082015825", "-10050622525103392087", "8286707825575406550645", "-8306718039292070745761307", "9948875920938941746670110265" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:05
oeisdata/seq/A012/A012689.seq
52e7798bf3ec9f7b6303d3b84c8d89af
A012690
arcsinh(tanh(x)*cos(x))=x-6/3!*x^3+100/5!*x^5-5096/7!*x^7...
[ "1", "-6", "100", "-5096", "523920", "-90215136", "23393880640", "-8507435854976", "4128617538965760", "-2577268751229359616", "2011624742314369377280", "-1919388801470757636909056", "2197928434387448658103603200" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T08:43:13
oeisdata/seq/A012/A012690.seq
a2ea813c4a4267d4a599166e17e306e0
A012691
sec(tanh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+57/6!*x^6+13825/8!*x^8...
[ "1", "1", "-15", "57", "13825", "-869711", "-32509455", "15341387817", "-1155396011135", "-466737414209183", "173446757621320305", "4992444359346419481", "-27407671098104949154175", "8541081671506270503758353" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-09-06T16:30:48
oeisdata/seq/A012/A012691.seq
9ba876c755c33bdb6983542b38d33140
A012692
sech(tanh(x)*cos(x))=1-1/2!*x^2+25/4!*x^4-1057/6!*x^6+81905/8!*x^8...
[ "1", "-1", "25", "-1057", "81905", "-10280289", "1887120585", "-476966767617", "158890850697185", "-67468163508862017", "35571148438980847225", "-22799419589275221917281", "17459463801481355245128145" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-04-13T16:59:01
oeisdata/seq/A012/A012692.seq
6cc39bf2ad50c946290adeb68d05b6f8
A012693
arctan(tanh(x)*sinh(x))=2/2!*x^2-4/4!*x^4-178/6!*x^6+5336/8!*x^8...
[ "2", "-4", "-178", "5336", "363002", "-51606124", "-2970605818", "1739354509616", "-3370162346638", "-146251701849391444", "20841577570771860542", "24665031557633886866696", "-10649944278498283837904278" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-11-12T05:35:27
oeisdata/seq/A012/A012693.seq
1fbeba7ebe5fab1f84bb3d97ced3a4a8
A012694
exp(tanh(x)*arcsinh(x))=1+2/2!*x^2-50/6!*x^6+1400/8!*x^8-35222/10!*x^10...
[ "1", "2", "0", "-50", "1400", "-35222", "94556", "170807390", "-38605204656", "8791324177746", "-2481630462515900", "912971947568647558", "-429970979043182394888", "249025730862440011229306", "-171416914808317798189712276" ]
[ "sign" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-01T08:43:10
oeisdata/seq/A012/A012694.seq
17dbb2d2d9e2e70dc58154fd135d74bd
A012695
arctan(tanh(x)*arcsinh(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+14280/8!*x^8...
[ "2", "-12", "-50", "14280", "-826502", "-49633540", "25407386758", "-3395749736176", "-840874377633678", "669385496489774468", "-130679263245845309250", "-109382532060795384014888", "114810087622932492884439786" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-06-07T17:12:23
oeisdata/seq/A012/A012695.seq
552186db898c39433a554b690f5ad245
A012696
arctan(tanh(x)*tanh(x))=2/2!*x^2-16/4!*x^4+32/6!*x^6+18944/8!*x^8...
[ "2", "-16", "32", "18944", "-1904128", "41160704", "41418432512", "-13226611572736", "1026478445821952", "1419327244545818624", "-990157599155377143808", "185269154824838954614784", "314145305969818487050207232" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:05
oeisdata/seq/A012/A012696.seq
cf52e4b356d6964b40b212b23520b6b1
A012697
Expansion of e.g.f.: exp(arctanh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+28/4!*x^4-110/5!*x^5...
[ "1", "0", "2", "-3", "28", "-110", "1058", "-6804", "75024", "-664488", "8456712", "-94737720", "1378535112", "-18587872368", "305610292752", "-4802794952760", "88232994448128", "-1580181612876864", "32119507894881216", "-644756418530970624" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-12-08T18:37:21
oeisdata/seq/A012/A012697.seq
a2ba19f5836531d63d9b7c16b008c066
A012698
E.g.f.: sin(arctanh(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", "248", "-504", "-1584", "94536", "-1464768", "23328360", "-336539040", "5198852880", "-79862710800", "1306170600840", "-21763435223040", "382939844024640", "-6915154663557120", "130859230589792640" ]
[ "sign" ]
8
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-12-02T02:36:56
oeisdata/seq/A012/A012698.seq
a6e3685e7340f0a3b5208fd23ee9d3bc
A012699
Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "488", "-3024", "35376", "-313704", "4361472", "-52901640", "869275680", "-13360922640", "252154734960", "-4681650438360", "100596004131840", "-2186713427586240", "52870374675586560", "-1312523172135192960" ]
[ "sign" ]
11
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-03-02T13:44:59
oeisdata/seq/A012/A012699.seq
df3a2342a4e00f22b1daba410a1d084c
A012700
Expansion of e.g.f. tan(arctanh(x) * log(x+1)).
[ "0", "0", "2", "-3", "16", "-50", "608", "-4284", "53856", "-517824", "7365312", "-93511440", "1542037440", "-24197565600", "452937477120", "-8397165641760", "176769352058880", "-3770083289172480", "88455117393715200", "-2127638031857717760" ]
[ "sign" ]
10
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-24T19:02:27
oeisdata/seq/A012/A012700.seq
b298c6219cc389b4e6285d7614619275