christopher/oeis · Datasets at Hugging Face

sequence_id stringlengths 7 7	sequence_name stringlengths 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 ⌀	former_ids listlengths 1 3 ⌀	author stringlengths 7 231 ⌀	timestamp timestamp[us]date 1999-12-11 03:00:00 2025-07-19 00:40:46	filename stringlengths 29 29	hash stringlengths 32 32
A013201	log(sech(x)+log(x+1)) = x - 3/2!x^2 + 10/3!x^3 - 51/4!x^4 + 373/5!x^5 + ...	[ "0", "1", "-3", "10", "-51", "373", "-3305", "34543", "-421722", "5884933", "-92262997", "1606210571", "-30753868288", "642299748231", "-14531175088131", "354020726656465", "-9240811268934752", "257285058656341145", "-7611050202054313081" ]	[ "sign" ]	9	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-05-01T18:04:49	oeisdata/seq/A013/A013201.seq	30c4a6a8a539fe0c07d7b64563e9c24b
A013202	Expansion of e.g.f. log(sech(x) + sin(x)).	[ "0", "1", "-2", "4", "-12", "60", "-392", "2784", "-23072", "225680", "-2475392", "29884864", "-397554432", "5784292800", "-91112993792", "1544557830144", "-28059800686592", "543835022577920", "-11198270349934592", "244140571254682624" ]	[ "sign" ]	7	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:04:23	oeisdata/seq/A013/A013202.seq	a603675e06315a2e9f2d467a45e8e33c
A013203	Expansion of e.g.f. log(sech(x) + arcsin(x)).	[ "0", "1", "-2", "6", "-20", "128", "-920", "7784", "-75616", "863168", "-10897792", "153777536", "-2374754560", "40156766336", "-733521418240", "14452100967680", "-304697481490432", "6857570007949312", "-163883915313774592" ]	[ "sign" ]	7	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:04:54	oeisdata/seq/A013/A013203.seq	4dd01d3ccb773993e582a2d6b4737c16
A013204	E.g.f. log(sech(x) + tan(x)).	[ "0", "1", "-2", "7", "-24", "165", "-1232", "10827", "-111104", "1316585", "-17449472", "257028847", "-4164086784", "73616009805", "-1409671718912", "29070305745267", "-642304219480064", "15137914082015825", "-379068532960919552", "10050622525103392087", "-281286704647327186944" ]	[ "sign" ]	26	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-10-19T17:39:02	oeisdata/seq/A013/A013204.seq	0e0be236c5aaedec908cb595e15b45e3
A013205	Expansion of e.g.f. log(sech(x) + arctan(x)).	[ "0", "1", "-2", "3", "-8", "53", "-320", "1799", "-14464", "154985", "-1601152", "16589771", "-211517440", "3172731677", "-47440986112", "721614303695", "-12501759557632", "241340829836497", "-4730336839303168", "94965599172723859" ]	[ "sign" ]	7	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:05:09	oeisdata/seq/A013/A013205.seq	2da922b0587c363e2ef0eb0dc3e1f2e6
A013206	E.g.f.: log(sech(x)+sinh(x))=x-2/2!x^2+6/3!x^3-20/4!x^4+120/5!x^5...	[ "0", "1", "-2", "6", "-20", "120", "-872", "7056", "-68000", "758400", "-9460352", "130918656", "-1995073280", "33173038080", "-597457144832", "11587651270656", "-240799724687360", "5337660866396160", "-125711013390221312" ]	[ "sign" ]	6	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2014-05-16T08:36:08	oeisdata/seq/A013/A013206.seq	43a226ed0ad605ede5dd3279a50ab6d8
A013207	Expansion of e.g.f.: log(sech(x)+arcsinh(x))=x-2/2!x^2+4/3!x^3-12/4!x^4+68/5!x^5...	[ "0", "1", "-2", "4", "-12", "68", "-440", "3064", "-26208", "265936", "-2945152", "35730176", "-485182720", "7235106240", "-115677206528", "1984468240000", "-36707903762432", "725871298851072", "-15190637885095936", "336136505074527232" ]	[ "sign" ]	6	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-03-22T18:02:47	oeisdata/seq/A013/A013207.seq	78c9959416b86f708cab98b90fb15c1f
A013208	Expansion of e.g.f. log(sech(x) + tanh(x)).	[ "0", "1", "-2", "3", "-8", "45", "-272", "1743", "-13568", "125625", "-1290752", "14554683", "-181296128", "2473184805", "-36501112832", "579439207623", "-9859508338688", "179018972217585", "-3453141256896512", "70518070842040563" ]	[ "sign" ]	9	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2023-10-22T11:38:11	oeisdata/seq/A013/A013208.seq	323603098162e77f83342297c794cab1
A013209	Expansion of e.g.f. log(sech(x) + arctanh(x)).	[ "0", "1", "-2", "7", "-24", "173", "-1280", "11779", "-120960", "1474969", "-19695232", "296068991", "-4847011840", "87094091589", "-1687646744576", "35308668668155", "-789939274514432", "18872654969343537", "-478658276989173760" ]	[ "sign" ]	8	1	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:05:27	oeisdata/seq/A013/A013209.seq	9bf39152a74c121aa41a420321b88560
A013210	Expansion of e.g.f.: sin(log(x+1) - sin(x)) = -1/2!x^2+3/3!x^3-6/4!x^4+23/5!x^5...	[ "0", "0", "-1", "3", "-6", "23", "-105", "406", "-1260", "1385", "55755", "-1232594", "20220354", "-312914383", "4892322435", "-78950848976", "1325556752520", "-23243942565943", "426334224758967", "-8180116120702106", "164087156833319710", "-3437833525919834035", "75145008886144335831" ]	[ "sign" ]	9	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-09-29T19:37:39	oeisdata/seq/A013/A013210.seq	c72f72e326b2b96e5676f986da832ece
A013211	arcsin(log(x+1)-sin(x))=-1/2!x^2+3/3!x^3-6/4!x^4+23/5!x^5...	[ "0", "0", "-1", "3", "-6", "23", "-135", "1036", "-8820", "79253", "-790965", "9009946", "-115646454", "1626322631", "-24603654075", "399276204328", "-6962632196520", "130208290075961", "-2596473574347177", "54889573679035678" ]	[ "sign" ]	7	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2017-06-08T16:33:42	oeisdata/seq/A013/A013211.seq	031e6cc2d95bf78419bc17426cb0776e
A013212	Expansion of e.g.f. tan(log(x+1) - sin(x)).	[ "0", "0", "-1", "3", "-6", "23", "-150", "1351", "-12600", "118187", "-1217160", "14287141", "-188257608", "2702562653", "-41510829360", "680290364755", "-11907404789280", "222160337026823", "-4398121126494144", "91965696132459313" ]	[ "sign" ]	10	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:05:36	oeisdata/seq/A013/A013212.seq	4a3cecdbd09a04be77296f014cafe6f9
A013213	Expansion of e.g.f. arctan(log(x+1) - sin(x)).	[ "0", "0", "-1", "3", "-6", "23", "-90", "91", "2520", "-37549", "453600", "-4950539", "46054008", "-322939255", "209249040", "58871058247", "-1726916711520", "36675055548935", "-665460508297536", "10471928861164609", "-129836456400150520" ]	[ "sign" ]	7	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:05:43	oeisdata/seq/A013/A013213.seq	cc72165d0a59ee6b354b1af9a8de9a22
A013214	E.g.f.: cos(log(x+1)-sin(x))= 1-3/4!x^4+30/5!x^5-180/6!x^6+1113/7!x^7...	[ "1", "0", "0", "0", "-3", "30", "-180", "1113", "-8379", "69804", "-628614", "6216155", "-67322211", "789438078", "-9958088140", "134602170675", "-1941190097399", "29743794572824", "-482464755060922", "8257903545778011", "-148698758217737671" ]	[ "sign" ]	10	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-01-27T08:49:13	oeisdata/seq/A013/A013214.seq	bd246b3ee29ab5c8f852e69f95b0a8f5
A013215	Expansion of e.g.f. sinh(log(x+1) - sin(x)).	[ "0", "0", "-1", "3", "-6", "23", "-135", "1036", "-8820", "79253", "-783405", "8594146", "-103172454", "1341998591", "-18791767995", "281865510928", "-4509653027880", "76663767284201", "-1379952916274457", "26219142105604030", "-524382882377053690" ]	[ "sign" ]	10	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:06:03	oeisdata/seq/A013/A013215.seq	d0b5a8262fa2f802784a5316ae774f07
A013216	Expansion of e.g.f. arcsinh(log(x+1) - sin(x)).	[ "0", "0", "-1", "3", "-6", "23", "-105", "406", "-1260", "1385", "48195", "-816794", "7746354", "-28590343", "-859023165", "32103094024", "-771444393720", "15805494180377", "-295855009807833", "5153505812257222", "-82415471899841090" ]	[ "sign" ]	9	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:06:15	oeisdata/seq/A013/A013216.seq	4cfee53a6eeff2c0c41672e0ab7f0f07
A013217	E.g.f.: tanh(log(x+1)-sin(x))=-1/2!x^2+3/3!x^3-6/4!x^4+23/5!x^5...	[ "0", "0", "-1", "3", "-6", "23", "-90", "91", "2520", "-37549", "461160", "-5366339", "58528008", "-607263295", "5930324400", "-49004509553", "192095423520", "4873161825335", "-189700932165696", "4680846631063441", "-99367558621150840", "1935131558912511581" ]	[ "sign" ]	8	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-07-16T12:39:53	oeisdata/seq/A013/A013217.seq	1f42edf2445a5590188df6b497308220
A013218	E.g.f.: arctanh(log(x+1)-sin(x)) = -1/2!x^2 + 3/3!x^3 - 6/4!x^4 + 23/5!x^5 + ...	[ "0", "0", "-1", "3", "-6", "23", "-150", "1351", "-12600", "118187", "-1224720", "14702941", "-200731608", "2986886693", "-47352985680", "800879433355", "-14538372969120", "282952402841303", "-5862543549637824", "128430397643505121", "-2964326737589237000", "71982961886998521617" ]	[ "sign" ]	9	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-10-01T16:11:08	oeisdata/seq/A013/A013218.seq	91fb579f8b506747f6d3808d3d90959b
A013219	cosh(log(x+1)-sin(x))= 1+3/4!x^4-30/5!x^5+180/6!x^6-1113/7!x^7...	[ "1", "0", "0", "0", "3", "-30", "180", "-1113", "8589", "-77364", "779814", "-8613935", "103330491", "-1342230318", "18788673904", "-281844035445", "4509647078489", "-76664498306728", "1379956990973194", "-26219133416048859", "524382648114394663" ]	[ "sign" ]	5	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:24	oeisdata/seq/A013/A013219.seq	603418bfdc807bb265dc044febfa8cbe
A013220	sec(log(x+1)-sin(x))= 1+3/4!x^4-30/5!x^5+180/6!x^6-1113/7!x^7...	[ "1", "0", "0", "0", "3", "-30", "180", "-1113", "9009", "-92484", "1082214", "-13409495", "175970751", "-2496463398", "38493086632", "-639838512285", "11345248531169", "-213247722492136", "4238445880373338", "-88930681789096755" ]	[ "sign" ]	5	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:24	oeisdata/seq/A013/A013220.seq	df8e516cb07552a4ddfb7ba41ceced34
A013221	Expansion of e.g.f.: sech(log(x+1)-sin(x))=1-3/4!x^4+30/5!x^5-180/6!x^6+1113/7!x^7...	[ "1", "0", "0", "0", "-3", "30", "-180", "1113", "-7959", "54684", "-326214", "1420595", "4070649", "-267497802", "5659842188", "-96370811565", "1502630963281", "-22116660281384", "303797514676022", "-3707479843755885", "33686225612995313" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-06-19T11:19:26	oeisdata/seq/A013/A013221.seq	509e4a099fecad9459b610aa189251b4
A013222	Expansion of e.g.f. sin(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-105", "390", "-3500", "15785", "-181125", "807750", "-12261150", "25793625", "-784508725", "-9327500000", "54587949000", "-5375441316375", "69535091676375", "-2529291250424250", "40837337931958750", "-1268829193109066875" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:06:25	oeisdata/seq/A013/A013222.seq	c9e4ce9fe5c43ecf5b3641f96d9dc499
A013223	Expansion of e.g.f. arcsin(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-135", "600", "-6580", "42805", "-554085", "4837050", "-72076950", "796427775", "-13416518115", "180272874600", "-3389491521000", "53781169937625", "-1117482909042825", "20474457815886750", "-466428359492228250" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T22:06:36	oeisdata/seq/A013/A013223.seq	3fd0f2e9a7565953985300fe34cc5025
A013224	Expansion of e.g.f. tan(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-150", "705", "-8120", "56315", "-743400", "6903675", "-103336200", "1205843925", "-20238618400", "284376581125", "-5302197732000", "87055019166375", "-1788619770288000", "33563618929137375", "-754531467461525000" ]	[ "sign" ]	9	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:25:20	oeisdata/seq/A013/A013224.seq	9fb1872b028612c473485ce1999cb345
A013225	Expansion of e.g.f. arctan(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-90", "285", "-1960", "2275", "-20160", "-739125", "5484600", "-142631775", "978257280", "-20452770975", "62899668000", "-1760322929625", "-37787340240000", "438469128896175", "-27777038217435000", "392637961158139125" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T23:00:59	oeisdata/seq/A013/A013225.seq	470e5de07b4b4497b5021bd1aa0fc907
A013226	cos(log(x+1)-arcsin(x))=1-3/4!x^4+10/5!x^5-100/6!x^6+525/7!x^7...	[ "1", "0", "0", "0", "-3", "10", "-100", "525", "-5355", "37980", "-440550", "3927275", "-52278875", "560837550", "-8500662300", "106552684875", "-1819369836375", "26079977287000", "-496530064488250", "8007335798362875", "-168440275093179375" ]	[ "sign" ]	4	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:24	oeisdata/seq/A013/A013226.seq	81819eb49c00ba7fd8afaf8933ded0be
A013227	Expansion of e.g.f.: sinh(log(x+1)-arcsin(x))=-1/2!x^2+1/3!x^3-6/4!x^4+15/5!x^5...	[ "0", "0", "-1", "1", "-6", "15", "-135", "600", "-6580", "42805", "-546525", "4698450", "-68473350", "732163575", "-12012875875", "153571600000", "-2805371985000", "41710773599625", "-840435196901625", "14241298404498750", "-313987574315496250" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2017-08-15T20:16:05	oeisdata/seq/A013/A013227.seq	8e027dc1812590497c2b6d550b1ca6bf
A013228	Expansion of e.g.f. arcsinh(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-105", "390", "-3500", "15785", "-188685", "946350", "-15864750", "90057825", "-2127610485", "15254857800", "-444774915000", "4213468013625", "-130378398500025", "1538133793366950", "-48054409884965250" ]	[ "sign" ]	9	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2021-09-26T12:36:03	oeisdata/seq/A013/A013228.seq	56549b32a966cb475ef961fa96cba686
A013229	Expansion of e.g.f. tanh(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-90", "285", "-1960", "2275", "-12600", "-877725", "9088200", "-206895975", "2291088800", "-43975670375", "519884196000", "-10108488755625", "124295092272000", "-2588043770222625", "31717643136725000" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-01T23:01:31	oeisdata/seq/A013/A013229.seq	2db9f08f25001e1d91d0f33e740f9b77
A013230	Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)).	[ "0", "0", "-1", "1", "-6", "15", "-150", "705", "-8120", "56315", "-750960", "7042275", "-106939800", "1270108125", "-21672530880", "312137314125", "-5928695604000", "100366159008375", "-2104970646729600", "40921600563449775" ]	[ "sign" ]	9	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:25:31	oeisdata/seq/A013/A013230.seq	6062a78036c744a38db5987aba2e7b54
A013231	Expansion of e.g.f.: cosh(log(x+1)-arcsin(x))=1+3/4!x^4-10/5!x^5+100/6!x^6-525/7!x^7...	[ "1", "0", "0", "0", "3", "-10", "100", "-525", "5565", "-40500", "490950", "-4581775", "63536275", "-723857550", "11365224000", "-152882218125", "2687668517625", "-41677719265000", "812130983706250", "-14259432279850875", "305288364810999375" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2017-01-09T14:40:47	oeisdata/seq/A013/A013231.seq	06a9bd38b794ca43b3b2e035dd1c142c
A013232	Expansion of e.g.f.: sec(log(x+1)-arcsin(x))=1+3/4!x^4-10/5!x^5+100/6!x^6-525/7!x^7...	[ "1", "0", "0", "0", "3", "-10", "100", "-525", "5985", "-45540", "591750", "-5890775", "86674775", "-1066113750", "17624076600", "-257870101125", "4747675466625", "-80439982441000", "1635873200172250", "-31462999921825875", "701530665349044375" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2017-05-29T12:34:45	oeisdata/seq/A013/A013232.seq	08d9ad3e042d49c238545429bca9dd6a
A013233	Expansion of e.g.f.: sech(log(x+1)-arcsin(x))=1-3/4!x^4+10/5!x^5-100/6!x^6+525/7!x^7...	[ "1", "0", "0", "0", "-3", "10", "-100", "525", "-4935", "32940", "-339750", "2618275", "-30387775", "251013750", "-3301268100", "26222434875", "-400587471375", "2197651183000", "-45694778418250", "-233584427890125", "-1331937583104375" ]	[ "sign" ]	8	0	5	null	null	Patrick Demichel (patrick.demichel(AT) hp.com)	2019-10-14T20:45:50	oeisdata/seq/A013/A013233.seq	4e5c6f6c06cd0f30ab95d0f2439c0eb3
A013234	Expansion of e.g.f. sin(log(x+1) - tan(x)).	[ "0", "0", "-1", "0", "-6", "8", "-105", "448", "-3780", "29360", "-231525", "2498848", "-20985426", "271494104", "-2503393893", "35568205216", "-346194368520", "4969746747488", "-41862411119529", "433992302190016", "4063211694577570", "-232678981367758168" ]	[ "sign" ]	9	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T02:36:07	oeisdata/seq/A013/A013234.seq	7b67014a94a0ce31395f833e230ea66f
A013235	E.g.f. arcsin(log(x+1)-tan(x))=-1/2!x^2-6/4!x^4+8/5!x^5-135/6!x^6...	[ "0", "0", "-1", "0", "-6", "8", "-135", "448", "-6300", "35408", "-503685", "4051168", "-61966674", "652583384", "-10926862947", "142548422560", "-2622105365880", "40794310136480", "-822873495765321", "14853219468665920", "-327327482638812190" ]	[ "sign" ]	33	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2019-01-19T03:16:10	oeisdata/seq/A013/A013235.seq	c054678089e555108e40c588ac01a379
A013236	Expansion of e.g.f. tan(log(x+1) - tan(x)).	[ "0", "0", "-1", "0", "-6", "8", "-150", "448", "-7560", "38432", "-642600", "4827328", "-83392848", "846371264", "-15413462064", "198308799232", "-3850826179200", "59939510237696", "-1248952432920192", "22723443584373760", "-509532711855338240", "10564033699974222848", "-255033199091475264768" ]	[ "sign" ]	11	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T02:36:24	oeisdata/seq/A013/A013236.seq	cf962027212bfdab642cc23da0f27f22
A013237	Expansion of e.g.f. arctan(log(x+1) - tan(x)).	[ "0", "0", "-1", "0", "-6", "8", "-90", "448", "-2520", "26336", "-120960", "1722688", "-8914752", "110138624", "-763819056", "2510508544", "-23764540800", "-1852444415488", "25138910788992", "-839278029937664", "14518492774196480", "-301837255570263040", "6080193763585041408", "-100072615179212095488" ]	[ "sign" ]	11	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T02:36:32	oeisdata/seq/A013/A013237.seq	8494abbdf1b2f1012fa2160f92af6d3b
A013238	cos(log(x+1)-tan(x))=1-3/4!x^4-90/6!x^6+168/7!x^7-4515/8!x^8...	[ "1", "0", "0", "0", "-3", "0", "-90", "168", "-4515", "22176", "-367164", "3056240", "-44886303", "514017504", "-7678036366", "108246861240", "-1737483795047", "28423328341696", "-499635179800312", "9187861099329504", "-177412155709129435" ]	[ "sign" ]	4	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:24	oeisdata/seq/A013/A013238.seq	994ebbaf192f95523b1893679524aef2
A013239	sinh(log(x+1)-tan(x)) = -1/2!x^2 - 6/4!x^4 + 8/5!x^5 - 135/6!x^6 + ...	[ "0", "0", "-1", "0", "-6", "8", "-135", "448", "-6300", "35408", "-496125", "4051168", "-59471874", "643934744", "-10139836707", "136494374560", "-2334659166840", "37300690086560", "-696737113793721", "12786540011455552", "-260937837571947070" ]	[ "sign" ]	10	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-10-08T17:24:09	oeisdata/seq/A013/A013239.seq	87742f61c712ed512b9a6d2a316ae48e
A013240	arcsinh(log(x+1)-tan(x))=-1/2!x^2-6/4!x^4+8/5!x^5-105/6!x^6...	[ "0", "0", "-1", "0", "-6", "8", "-105", "448", "-3780", "29360", "-239085", "2498848", "-23480226", "280142744", "-3229879653", "41622253216", "-582786564360", "8232828649568", "-134282588969529", "2159014224301504", "-39520792904437310" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-04T10:34:30	oeisdata/seq/A013/A013240.seq	197f249de1b8020de14921c15f10e08a
A013241	Expansion of e.g.f. tanh(log(x+1) - tan(x)).	[ "0", "0", "-1", "0", "-6", "8", "-90", "448", "-2520", "26336", "-113400", "1722688", "-6419952", "101489984", "-67603536", "-3543539456", "187400653440", "-5000257243648", "101437039896192", "-2393471184499712", "47958328313066240", "-1096842391672099840", "23404766719036851456" ]	[ "sign" ]	15	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-09-08T08:44:38	oeisdata/seq/A013/A013241.seq	074995bd06701f5dccc740fc1eafb45b
A013242	Expansion of e.g.f. arctanh(log(x+1) - tan(x)).	[ "0", "0", "-1", "0", "-6", "8", "-150", "448", "-7560", "38432", "-650160", "4827328", "-85887648", "855019904", "-16230758544", "204362847232", "-4163699379840", "63548399361536", "-1392682970270592", "24960951809133568", "-588583828329908480" ]	[ "sign" ]	9	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:25:08	oeisdata/seq/A013/A013242.seq	259366bee4fe0cf83d73dfc16f296589
A013243	Expansion of e.g.f.: cosh(log(x+1)-tan(x))=1+3/4!x^4+90/6!x^6-168/7!x^7+4725/8!x^8...	[ "1", "0", "0", "0", "3", "0", "90", "-168", "4725", "-22176", "404964", "-3167120", "51954903", "-563026464", "9315656350", "-126730926840", "2219178178217", "-35798640990400", "676619926058632", "-12499985614160160", "256672333451106667" ]	[ "sign" ]	8	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2021-08-02T17:12:57	oeisdata/seq/A013/A013243.seq	6edfa15dd975fb5c881098a550434426
A013244	sec(log(x+1)-tan(x))=1+3/4!x^4+90/6!x^6-168/7!x^7+5145/8!x^8...	[ "1", "0", "0", "0", "3", "0", "90", "-168", "5145", "-22176", "480564", "-3388880", "66715803", "-661044384", "12931436518", "-165061218840", "3342012731057", "-51969545948608", "1111264170332872", "-20261556663255072", "462081844937750131" ]	[ "sign" ]	4	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:25	oeisdata/seq/A013/A013244.seq	531151913d7d00335c295ba14e219365
A013245	Expansion of e.g.f.: sech(log(x+1)-tan(x))=1-3/4!x^4-90/6!x^6+168/7!x^7-4095/8!x^8...	[ "1", "0", "0", "0", "-3", "0", "-90", "168", "-4095", "22176", "-291564", "2834480", "-31372803", "415999584", "-4743336598", "72640890840", "-927946226207", "15092982705088", "-219492662105272", "3666238685959392", "-59492414408303971" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2024-07-13T11:56:36	oeisdata/seq/A013/A013245.seq	3041a1e4564d6fc311c999a106ab20b6
A013246	E.g.f.: sin(log(x+1)-arctan(x)) = -1/2!x^2+4/3!x^3-6/4!x^4-105/6!x^6...	[ "0", "0", "-1", "4", "-6", "0", "-105", "1020", "700", "-48160", "-29925", "2852100", "39624750", "-990132000", "2798670875", "35779061500", "2042289483000", "-56002989432000", "277252662828375", "1348783879306500", "236532018033561250" ]	[ "sign" ]	16	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:27:30	oeisdata/seq/A013/A013246.seq	24239c383871e235cdd858fce02492e7
A013247	Expansion of e.g.f. arcsin(log(x+1) - arctan(x)).	[ "0", "0", "-1", "4", "-6", "0", "-135", "1860", "-10780", "48160", "-705285", "12356100", "-144752850", "1590732000", "-25870559715", "486296892900", "-8228037051000", "144968627793600", "-3059375913585225", "67951188182650500" ]	[ "sign" ]	7	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:53:54	oeisdata/seq/A013/A013247.seq	80d6cf45f1863eb1819f9bb218c51049
A013248	Expansion of e.g.f. tan(log(x+1) - arctan(x)).	[ "0", "0", "-1", "4", "-6", "0", "-150", "2280", "-16520", "96320", "-1045800", "17316000", "-244530000", "3061344000", "-43372529200", "761044648000", "-14257920144000", "263995016064000", "-5068873669392000", "106427464573248000" ]	[ "sign" ]	7	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:54:05	oeisdata/seq/A013/A013248.seq	d29378fe6de215d6d71ef96208b1c09e
A013249	Expansion of e.g.f. arctan(log(x+1) - arctan(x)).	[ "0", "0", "-1", "4", "-6", "0", "-90", "600", "6440", "-96320", "282240", "-28800", "63518400", "-658944000", "-11371279920", "255692673600", "-859133808000", "9642264652800", "-1104139083715200", "14885344037491200", "258279234868512000" ]	[ "sign" ]	9	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-02T17:54:14	oeisdata/seq/A013/A013249.seq	d15dd83379bc3c4aff00e1ec18d839da
A013250	Expansion of e.g.f.: cos(log(x+1)-arctan(x))=1-3/4!x^4+40/5!x^5-250/6!x^6+840/7!x^7...	[ "1", "0", "0", "0", "-3", "40", "-250", "840", "-4515", "87120", "-949500", "4360400", "-24799775", "1013539800", "-16719504750", "82697979000", "-246429558375", "40173677908000", "-928344422395000", "3990578889492000", "32523853181113125" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2024-09-01T11:10:08	oeisdata/seq/A013/A013250.seq	f3aea50b6ab3df058e17f8d4e691dcf1
A013251	Expansion of e.g.f. sinh(log(x+1) - arctan(x)).	[ "0", "0", "-1", "4", "-6", "0", "-135", "1860", "-10780", "48160", "-697725", "11801700", "-124517250", "1110252000", "-17370227875", "346759094500", "-5312388315000", "71055274680000", "-1308651318365625", "30345122522578500", "-607045975529938750" ]	[ "sign" ]	17	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:22:31	oeisdata/seq/A013/A013251.seq	45d1a93092091e88d49621c72dc754fe
A013252	arcsinh(log(x+1)-arctan(x)) = -1/2!x^2+4/3!x^3-6/4!x^4-105/6!x^6...	[ "0", "0", "-1", "4", "-6", "0", "-105", "1020", "700", "-48160", "-37485", "3406500", "19389150", "-509652000", "-5641120485", "166841192700", "-280062549000", "-9498060561600", "-532972346765625", "12591110742783300", "60674315564333250", "-3333599851120344000", "-38693586241760875425" ]	[ "sign" ]	12	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2014-02-16T02:18:02	oeisdata/seq/A013/A013252.seq	65739e1758e6e79ccf935c735a8dc40c
A013253	Expansion of e.g.f. tanh(log(x+1) - arctan(x)).	[ "0", "0", "-1", "4", "-6", "0", "-90", "600", "6440", "-96320", "289800", "-583200", "83754000", "-1139424000", "-2961758800", "128868376000", "1166569872000", "-23158452096000", "-763427813616000", "16657066415808000", "110377962138080000" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:22:36	oeisdata/seq/A013/A013253.seq	8b73b600875295636030e417750119f1
A013254	Expansion of e.g.f. arctanh(log(x+1) - arctan(x)).	[ "0", "0", "-1", "4", "-6", "0", "-150", "2280", "-16520", "96320", "-1053360", "17870400", "-264765600", "3541824000", "-51903131280", "904820280000", "-17470217232000", "351612581299200", "-7290584110742400", "157383219788121600" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:22:42	oeisdata/seq/A013/A013254.seq	2fa85900792bfb675eee334be9d1044e
A013255	E.g.f.: cosh(log(x+1)-arctan(x))=1+3/4!x^4-40/5!x^5+250/6!x^6-840/7!x^7...	[ "1", "0", "0", "0", "3", "-40", "250", "-840", "4725", "-97200", "1188900", "-7994800", "66364375", "-1544127000", "26899674750", "-278709795000", "3240888275625", "-85063768972000", "1886327500213000", "-26696356464492000", "405832799545216875" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-06-24T16:34:58	oeisdata/seq/A013/A013255.seq	18d2bd69474fc56841c1b270422fcc0c
A013256	Expansion of e.g.f.: sec(log(x+1)-arctan(x))=1+3/4!x^4-40/5!x^5+250/6!x^6-840/7!x^7...	[ "1", "0", "0", "0", "3", "-40", "250", "-840", "5145", "-117360", "1667700", "-15263600", "150117275", "-2670166200", "50627578950", "-785508087000", "12133753256625", "-237020801836000", "5185811491549000", "-108420617788236000" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-12-19T13:31:44	oeisdata/seq/A013/A013256.seq	a9ede1561ab124aa43b256224048fec0
A013257	Expansion of e.g.f.: sech(log(x+1)-arctan(x))=1-3/4!x^4+40/5!x^5-250/6!x^6+840/7!x^7...	[ "1", "0", "0", "0", "-3", "40", "-250", "840", "-4095", "66960", "-470700", "-2908400", "57705725", "17230200", "273271050", "-194550993000", "2844134918625", "11555861044000", "-303831545875000", "-10640259365580000", "157518220758868125" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2020-10-24T12:50:56	oeisdata/seq/A013/A013257.seq	119ad4a170b87560d1400eb09462a57b
A013258	Expansion of e.g.f. sin(log(x+1)-sinh(x)).	[ "0", "0", "-1", "1", "-6", "23", "-105", "614", "-3500", "23785", "-160965", "1109414", "-6628446", "14323385", "625668043", "-19616745968", "448164492360", "-9492285973399", "198428984155863", "-4196829028100218", "90850331257510750", "-2024626265649361787" ]	[ "sign" ]	21	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2017-12-02T03:28:23	oeisdata/seq/A013/A013258.seq	17288b923d0236a4b0ea73e4098ab0b8
A013259	Expansion of e.g.f. arcsin(log(x+1) - sinh(x)).	[ "0", "0", "-1", "1", "-6", "23", "-135", "824", "-6580", "56853", "-574245", "6321434", "-77709654", "1034820863", "-15028496483", "234652617016", "-3939397037160", "70561239939417", "-1345864598250633", "27205562970320606", "-581454141374015770" ]	[ "sign" ]	13	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2021-04-14T15:12:35	oeisdata/seq/A013/A013259.seq	9df7bdbdbc7742a660028cc6ee67f7fb
A013260	Expansion of e.g.f. tan(log(x+1) - sinh(x)).	[ "0", "0", "-1", "1", "-6", "23", "-150", "929", "-8120", "73387", "-783720", "8979419", "-114601608", "1572411917", "-23422214816", "373361085733", "-6370742969760", "115548671959175", "-2223018007825536", "45175620448879391" ]	[ "sign" ]	11	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:04	oeisdata/seq/A013/A013260.seq	7c3653c1cc7cf3372d5b0764537aa17d
A013261	Expansion of e.g.f. arctan(log(x+1) - sinh(x)).	[ "0", "0", "-1", "1", "-6", "23", "-90", "509", "-1960", "7251", "20160", "-1028821", "16750008", "-249844519", "3354647296", "-42644099135", "506129014560", "-4945670890617", "23557830350976", "694520543221487", "-32533456838195320", "956551460942273757" ]	[ "sign" ]	11	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:14	oeisdata/seq/A013/A013261.seq	2e2293fa76953fb0b27652bf294ac304
A013262	E.g.f.: cos(log(x+1)-sinh(x))=1-3/4!x^4+10/5!x^5-100/6!x^6+693/7!x^7...	[ "1", "0", "0", "0", "-3", "10", "-100", "693", "-5803", "52092", "-505734", "5365195", "-61255579", "754182702", "-9947852044", "140160046635", "-2101501505751", "33422099566552", "-562127778341242", "9970641912040443", "-186034070549967727" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2014-08-26T13:25:25	oeisdata/seq/A013/A013262.seq	9249ae5e9c4d6ce67fc99c703a2e2d6f
A013263	Expansion of e.g.f. sinh(log(x+1) - sinh(x)).	[ "0", "0", "-1", "1", "-6", "23", "-135", "824", "-6580", "56853", "-566685", "6182834", "-74106054", "961908023", "-13463412963", "201897294416", "-3230214322920", "54911338071817", "-988396711394553", "18779422653489278", "-375588020724014010" ]	[ "sign" ]	11	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:20	oeisdata/seq/A013/A013263.seq	c84fbb986db923856e7bba55430cc9f1
A013264	arcsinh(log(x+1)-sinh(x))=-1/2!x^2+1/3!x^3-6/4!x^4+23/5!x^5...	[ "0", "0", "-1", "1", "-6", "23", "-105", "614", "-3500", "23785", "-168525", "1248014", "-10232046", "87236225", "-878874997", "11019659832", "-176261549880", "3445590738361", "-73605307413177", "1643075339474150", "-37315705749869570", "854635215667984933" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-04T10:35:12	oeisdata/seq/A013/A013264.seq	5dad23b1ce884da695943b25daa28cc4
A013265	Expansion of e.g.f. tanh(log(x+1) - sinh(x)).	[ "0", "0", "-1", "1", "-6", "23", "-90", "509", "-1960", "7251", "27720", "-1167421", "20353608", "-322757359", "4828920096", "-72221046535", "1088176720800", "-16527535024457", "253611377594496", "-3894220888850401", "59159990565014280" ]	[ "sign" ]	13	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:26	oeisdata/seq/A013/A013265.seq	b39d9dfc096e159a7e2723084a129d56
A013266	E.g.f.: arctanh(log(x+1)-sinh(x)) = -1/2!x^2 + 1/3!x^3 - 6/4!x^4 + 23/5!x^5 - ...	[ "0", "0", "-1", "1", "-6", "23", "-150", "929", "-8120", "73387", "-791280", "9118019", "-118205208", "1645324757", "-25017568576", "407175866733", "-7122304020000", "132554586404695", "-2623938745643136", "54936833779465199" ]	[ "sign" ]	9	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-07-26T01:11:58	oeisdata/seq/A013/A013266.seq	a16386d4670e3aad61e240776da07638
A013267	cosh(log(x+1)-sinh(x))=1+3/4!x^4-10/5!x^5+100/6!x^6-693/7!x^7...	[ "1", "0", "0", "0", "3", "-10", "100", "-693", "6013", "-54612", "556134", "-6130575", "73843539", "-960445902", "13455039728", "-201847162125", "3229894901881", "-54909246089576", "988382345047626", "-18779319891598203", "375587262559207119" ]	[ "sign" ]	4	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:25	oeisdata/seq/A013/A013267.seq	ff71d485aae7b301b4b1cb57b869fcee
A013268	sec(log(x+1)-sinh(x))=1+3/4!x^4-10/5!x^5+100/6!x^6-693/7!x^7...	[ "1", "0", "0", "0", "3", "-10", "100", "-693", "6433", "-59652", "656934", "-7661335", "99643159", "-1389188502", "20999144296", "-338912370405", "5846415568641", "-107035268122024", "2076101997603994", "-42490682821565523" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-12-13T15:25:04	oeisdata/seq/A013/A013268.seq	66c3c46258f8dd258332b14470f04c70
A013269	E.g.f.: sech(log(x+1)-sinh(x))=1-3/4!x^4+10/5!x^5-100/6!x^6+693/7!x^7...	[ "1", "0", "0", "0", "-3", "10", "-100", "693", "-5383", "47052", "-404934", "3834435", "-36703359", "357872502", "-3463205876", "30476792955", "-198853998991", "-654085861096", "67344661591926", "-2023504421641677", "49767870277602057" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-03-07T18:17:53	oeisdata/seq/A013/A013269.seq	c29975e88db2e8e5be2429e1b9de904f
A013270	Expansion of e.g.f. sin(log(x+1) - arcsinh(x)).	[ "0", "0", "-1", "3", "-6", "15", "-105", "630", "-1260", "-6615", "-4725", "103950", "19022850", "-387161775", "3887158275", "-49945896000", "1286674389000", "-26163490728375", "376381518888375", "-6290132811212250", "161471805183438750" ]	[ "sign" ]	17	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:32	oeisdata/seq/A013/A013270.seq	034170c794944e114494c2e33a9d8ba9
A013271	Expansion of e.g.f. arcsin(log(x+1) - arcsinh(x)).	[ "0", "0", "-1", "3", "-6", "15", "-135", "1260", "-8820", "65205", "-730485", "9459450", "-114448950", "1473647175", "-22993085115", "390145555800", "-6611360956200", "119388158314425", "-2419208528762025", "51974244237865950" ]	[ "sign" ]	16	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:46	oeisdata/seq/A013/A013271.seq	856337098cf36ced8a0eab3ef3efe9c7
A013272	tan(log(x+1)-arcsinh(x))=-1/2!x^2+3/3!x^3-6/4!x^4+15/5!x^5...	[ "0", "0", "-1", "3", "-6", "15", "-150", "1575", "-12600", "101115", "-1096200", "14293125", "-185862600", "2507429925", "-38410772400", "647097325875", "-11267340084000", "205801851630375", "-4076456247864000", "86033963719328625" ]	[ "sign" ]	8	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-03T12:10:43	oeisdata/seq/A013/A013272.seq	09fe871f9f8d4122a14473617b67e9f4
A013273	Expansion of e.g.f. arctan(log(x+1) - arcsinh(x)).	[ "0", "0", "-1", "3", "-6", "15", "-90", "315", "2520", "-42525", "332640", "-3170475", "43659000", "-387161775", "-469188720", "61992505575", "-1117425909600", "23419417796775", "-552570387969600", "9277455340778625", "-88132216543371000", "248023194743449125", "11316131820700106400", "-844433846165173589325" ]	[ "sign" ]	30	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-11-03T16:30:43	oeisdata/seq/A013/A013273.seq	598c7ace3db04b3a7735eb80bd9bc22d
A013274	E.g.f.: cos(log(x+1)-arcsinh(x))=1-3/4!x^4+30/5!x^5-180/6!x^6+945/7!x^7...	[ "1", "0", "0", "0", "-3", "30", "-180", "945", "-7035", "71820", "-670950", "5665275", "-60135075", "839188350", "-10954043100", "127205953875", "-1781461056375", "32362913583000", "-545592285488250", "7972311855382875", "-138305575427394375" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-08-12T08:32:25	oeisdata/seq/A013/A013274.seq	a022ccbc3b993eceafeb2d74608b17f7
A013275	E.g.f. sinh(log(x+1) - arcsinh(x)) = -1/2!x^2 + 3/3!x^3 - 6/4!x^4 + 15/5!x^5 + ...	[ "0", "0", "-1", "3", "-6", "15", "-135", "1260", "-8820", "65205", "-722925", "9043650", "-101974950", "1197971775", "-17665522875", "286053768000", "-4408292889000", "70284304715625", "-1307027554457625", "26160675737946750", "-509941992726416250" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-04T10:02:02	oeisdata/seq/A013/A013275.seq	907e0cc788ba5e75f8faf1d6d32fe3c1
A013276	Expansion of e.g.f. arcsinh(log(x+1) - arcsinh(x)).	[ "0", "0", "-1", "3", "-6", "15", "-105", "630", "-1260", "-6615", "-12285", "519750", "6548850", "-111486375", "-1379863485", "47789141400", "-560415655800", "8675814972825", "-266366151876825", "5553256188630150", "-63668362865357250" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:23:59	oeisdata/seq/A013/A013276.seq	6e7c5a8e5df8a588e93b9a5c581a1684
A013277	tanh(log(x+1)-arcsinh(x))=-1/2!x^2+3/3!x^3-6/4!x^4+15/5!x^5...	[ "0", "0", "-1", "3", "-6", "15", "-90", "315", "2520", "-42525", "340200", "-3586275", "56133000", "-662837175", "4767562800", "-32564156625", "551675124000", "-4287613955625", "-143803315656000", "4293290973596625", "-53086088130075000" ]	[ "sign" ]	10	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-04T13:51:24	oeisdata/seq/A013/A013277.seq	4403aab5c34f1b6bb79400f5153bca51
A013278	arctanh(log(x+1)-arcsinh(x))=-1/2!x^2+3/3!x^3-6/4!x^4+15/5!x^5...	[ "0", "0", "-1", "3", "-6", "15", "-150", "1575", "-12600", "101115", "-1103760", "14708925", "-198336600", "2783105325", "-43768604880", "754367488875", "-13648397162400", "262037979177975", "-5424089927256000", "118958487086664225" ]	[ "sign" ]	7	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-11-01T18:48:51	oeisdata/seq/A013/A013278.seq	cf6cc6256dfffa08e2bfb26567f3bde0
A013279	cosh(log(x+1)-arcsinh(x))=1+3/4!x^4-30/5!x^5+180/6!x^6-945/7!x^7...	[ "1", "0", "0", "0", "3", "-30", "180", "-945", "7245", "-79380", "822150", "-7952175", "92151675", "-1325674350", "19070251200", "-264982843125", "4134370865625", "-74940979113000", "1376877670418250", "-24833523534694875", "487380405271134375" ]	[ "sign" ]	7	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-04T10:04:32	oeisdata/seq/A013/A013279.seq	79ab688b72509da3a65f4403b62d0fcd
A013280	sec(log(x+1)-arcsinh(x))=1+3/4!x^4-30/5!x^5+180/6!x^6-945/7!x^7...	[ "1", "0", "0", "0", "3", "-30", "180", "-945", "7665", "-94500", "1124550", "-12525975", "156808575", "-2347294950", "37345908600", "-602685208125", "10429905110625", "-198454585329000", "3981241066052250", "-82461126798925875" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-10-28T11:16:23	oeisdata/seq/A013/A013280.seq	c3c4277a94237d479b15413c6123004d
A013281	sech(log(x+1)-arcsinh(x))=1-3/4!x^4+30/5!x^5-180/6!x^6+945/7!x^7...	[ "1", "0", "0", "0", "-3", "30", "-180", "945", "-6615", "56700", "-368550", "1091475", "3274425", "-85135050", "3235131900", "-86199238125", "1340238524625", "-15196606425000", "229968074085750", "-4642248475990125", "57810007510880625" ]	[ "sign" ]	4	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:25	oeisdata/seq/A013/A013281.seq	fdcd328f1506fe043ef502fc99e321f3
A013282	Expansion of e.g.f.: sin(log(x+1) - tanh(x)).	[ "0", "0", "-1", "4", "-6", "8", "-105", "572", "700", "-18800", "50715", "-903388", "31286574", "-466481992", "5285891611", "-81297834980", "1566498967800", "-27364241296480", "457841251437399", "-8635414723705660", "179513823574755490", "-3746483398412176664", "79423193110930596543", "-1794737225880978532228" ]	[ "sign" ]	17	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:24:04	oeisdata/seq/A013/A013282.seq	dcc09421f237bf9da7f8c1ef5f9c51ec
A013283	Expansion of e.g.f. arcsin(log(x+1) - tanh(x)).	[ "0", "0", "-1", "4", "-6", "8", "-135", "1412", "-10780", "83568", "-785925", "9561572", "-136414674", "1991159480", "-29164986851", "458554425604", "-8138629332600", "159215259140448", "-3271030693830729", "69435969035174084" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2019-06-19T11:31:12	oeisdata/seq/A013/A013283.seq	1bb4f6b7d8a05924d873e6c3730e15cf
A013284	tan(log(x+1)-tanh(x)) = -1/2!x^2+4/3!x^3-6/4!x^4+8/5!x^5... .	[ "-1", "4", "-6", "8", "-150", "1832", "-16520", "134752", "-1207080", "15001952", "-227853648", "3403403456", "-49799942192", "785688306496", "-14001828147840", "271414904202752", "-5476099665426048", "114256690024953344", "-2506464470623466240", "58420826002735436800", "-1436588695545973880064" ]	[ "sign" ]	14	2	2	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-11-23T19:44:54	oeisdata/seq/A013/A013284.seq	800b7734f09a24fe49bdab4b525f98e0
A013285	Expansion of e.g.f.: arctan(log(x+1)-tanh(x)).	[ "-1", "4", "-6", "8", "-90", "152", "6440", "-69984", "443520", "-4264768", "46842048", "-44493568", "-8172692528", "163418763328", "-2660756991360", "48794732729856", "-721585374360192", "4596412549813760", "89745640000513280" ]	[ "sign" ]	15	2	2	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2024-12-10T05:45:04	oeisdata/seq/A013/A013285.seq	c5f316f55280e67c8d9eef9ce7738a5a
A013286	cos(log(x+1)-tanh(x))=1-3/4!x^4+40/5!x^5-250/6!x^6+1008/7!x^7...	[ "1", "0", "0", "0", "-3", "40", "-250", "1008", "-6307", "77040", "-742524", "5642560", "-56921887", "809088696", "-10450329838", "122609052720", "-1712600698983", "28629942196960", "-466274068556152", "7411488125575680", "-130844029905109723" ]	[ "sign" ]	4	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:25	oeisdata/seq/A013/A013286.seq	70345e378dbcfe57692550371b95a940
A013287	Expansion of e.g.f. sinh(log(x+1) - tanh(x)).	[ "0", "0", "-1", "4", "-6", "8", "-135", "1412", "-10780", "83568", "-778365", "9007172", "-116179074", "1502030840", "-20018889891", "298432864004", "-4913874359160", "84111227898208", "-1492133395973049", "28208790397251716", "-568110070842919230" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2018-08-03T04:24:16	oeisdata/seq/A013/A013287.seq	c764bbb0a15c6b04339f5172731b0bf5
A013288	Expansion of e.g.f. arcsinh(log(x+1) - tanh(x)).	[ "0", "0", "-1", "4", "-6", "8", "-105", "572", "700", "-18800", "43155", "-348988", "11050974", "22646648", "-3799664869", "70348059420", "-1064959301640", "20100827554720", "-347358967505721", "3994110465051908", "-23620965746527550", "-181317478589886104", "16354059994502026335" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-09-08T08:44:38	oeisdata/seq/A013/A013288.seq	90cd9491e8b4e5ec2c8686e7589e46d7
A013289	Expansion of e.g.f. tanh(log(x+1) - tanh(x)).	[ "0", "0", "-1", "4", "-6", "8", "-90", "152", "6440", "-69984", "451080", "-4819168", "67077648", "-533622208", "882593712", "16010702528", "-325947073920", "15149145074176", "-402497641556352", "6097893929134592", "-75930618112953600", "1338998058465717248", "-21267088125132503808" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-09-08T08:44:38	oeisdata/seq/A013/A013289.seq	b956e631a8ace34a9a942eaa283663a1
A013290	Expansion of e.g.f. arctanh(log(x+1) - tanh(x)).	[ "0", "0", "-1", "4", "-6", "8", "-150", "1832", "-16520", "134752", "-1214640", "15556352", "-248089248", "3892532096", "-58976309392", "950047701696", "-17523231473280", "360338416640512", "-7742581556059008", "169950515543962112", "-3892670273719159040", "95372338941501045760" ]	[ "sign" ]	13	0	4	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-09-08T08:44:38	oeisdata/seq/A013/A013290.seq	123ba1a7626f77a00844c7e2f988285f
A013291	Expansion of e.g.f.: cosh(log(x+1)-tanh(x))=1+3/4!x^4-40/5!x^5+250/6!x^6-1008/7!x^7...	[ "1", "0", "0", "0", "3", "-40", "250", "-1008", "6517", "-87120", "981924", "-9387840", "103808727", "-1434810936", "20930063102", "-308368386480", "4838631496873", "-82524970065824", "1497919608463368", "-28494789851849472", "568078461069883755" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2022-05-07T11:52:48	oeisdata/seq/A013/A013291.seq	98e83ce7a80ad86c4f78b7a7979e0767
A013292	Expansion of e.g.f.: sec(log(x+1)-tanh(x))=1+3/4!x^4-40/5!x^5+250/6!x^6-1008/7!x^7...	[ "1", "0", "0", "0", "3", "-40", "250", "-1008", "6937", "-107280", "1460724", "-16878400", "198206107", "-2751120216", "45257093830", "-796023874800", "14139937791153", "-259510939790752", "5134675490787400", "-109869768885171456" ]	[ "sign" ]	6	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2016-08-25T17:46:44	oeisdata/seq/A013/A013292.seq	86bc99a87994ea5883ae1a4b35857441
A013293	E.g.f.: sech(log(x+1)-tanh(x))=1-3/4!x^4+40/5!x^5-250/6!x^6+1008/7!x^7...	[ "1", "0", "0", "0", "-3", "40", "-250", "1008", "-5887", "56880", "-263724", "-1848000", "36228093", "-377490984", "7141572490", "-132772794000", "1495810787297", "-10978685025568", "115616765332680", "-1113424428155904", "-36631866029794659" ]	[ "sign" ]	8	0	5	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2013-12-01T11:26:18	oeisdata/seq/A013/A013293.seq	1f1cf3001e2480cdbf1dfc3ef881fdb2
A013294	sin(log(x+1)-arctanh(x))=-1/2!x^2-6/4!x^4-105/6!x^6-3780/8!x^8...	[ "1", "6", "105", "3780", "231525", "21517650", "2810132325", "487540053000", "107478429683625", "28959878236038750", "9172717463134850625", "3251808972997572487500", "1181538736415476892578125" ]	[ "nonn" ]	4	0	2	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2012-02-24T12:51:25	oeisdata/seq/A013/A013294.seq	3a69abc5ccc4a2f53828eb5a6c105224
A013295	E.g.f.: -arcsin(log(x+1)-arctanh(x)) (even powers only).	[ "0", "1", "6", "135", "6300", "503685", "61434450", "10620124515", "2471073204600", "744907219281225", "282494651079390750", "131664032748125452575", "73997676994079578439700", "49364071776588936300058125", "38571353476865946088188086250", "34900798662291878654547561226875" ]	[ "nonn" ]	19	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2014-01-02T17:53:49	oeisdata/seq/A013/A013295.seq	20d93a7d0b45cef346376dffdf1ad4f5
A013296	tan(arctanh(x)-log(x+1)) = 1/2!x^2 + 6/4!x^4 + 150/6!x^6 + 7560/8!x^8...	[ "0", "1", "6", "150", "7560", "642600", "82328400", "14799985200", "3550699152000", "1095489931536000", "422416533258720000", "199001229578030880000", "112442434205652270720000", "75042084306026165328000000" ]	[ "nonn" ]	9	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2015-02-06T11:25:58	oeisdata/seq/A013/A013296.seq	05155f69ed7c1c0ad9a88dec0c04c5c6
A013297	-arctan(log(x+1)-arctanh(x))=1/2!x^2+6/4!x^4+90/6!x^6+2520/8!x^8...	[ "0", "1", "6", "90", "2520", "120960", "9979200", "1377295920", "285145660800", "78922558915200", "27250976424672000", "11359413770434329600", "5628391828843104921600", "3284252230408078849920000", "2238997166752030045320960000" ]	[ "nonn" ]	12	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2016-11-29T10:46:50	oeisdata/seq/A013/A013297.seq	5782d0acf54b19490b0d10ca23607506
A013298	cos(log(x+1)-arctanh(x))=1-3/4!x^4-90/6!x^6-4515/8!*x^8...	[ "1", "0", "-3", "-90", "-4515", "-359100", "-42047775", "-6839182350", "-1478380278375", "-410407616619000", "-142401495047686875", "-60416785362985301250", "-30781865895322663996875", "-18550414761518537710312500" ]	[ "sign" ]	6	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2019-03-17T16:20:53	oeisdata/seq/A013/A013298.seq	ba15023acf47487516993f3ba58db70a
A013299	-sinh(log(x+1)-arctanh(x)) = 1/2!x^2 + 6/4!x^4 + 135/6!x^6 + 6300/8!x^8 + ...	[ "1", "6", "135", "6300", "496125", "58939650", "9833098275", "2191376187000", "628651043645625", "225615874552818750", "99022807341232149375", "52176017395434685252500", "32501310835906189355203125" ]	[ "nonn" ]	20	0	2	[ "A013299", "A013302" ]	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2014-08-03T14:29:45	oeisdata/seq/A013/A013299.seq	1d658dd3451cc62d5f292f9d341fa604
A013300	-arcsinh(log(x+1)-arctanh(x))=1/2!x^2+6/4!x^4+105/6!x^6+3780/8!x^8...	[ "0", "1", "6", "105", "3780", "239085", "24012450", "3536618085", "716383067400", "190018401197625", "63663766667250750", "26240058743733259425", "13041458355044952132300", "7692606854418016599193125" ]	[ "nonn" ]	6	0	3	null	null	Patrick Demichel (patrick.demichel(AT)hp.com)	2016-11-29T10:50:21	oeisdata/seq/A013/A013300.seq	42b42e276e82733a170a27a5ad8b546f

A013201

log(sech(x)+log(x+1)) = x - 3/2!*x^2 + 10/3!*x^3 - 51/4!*x^4 + 373/5!*x^5 + ...

[ "0", "1", "-3", "10", "-51", "373", "-3305", "34543", "-421722", "5884933", "-92262997", "1606210571", "-30753868288", "642299748231", "-14531175088131", "354020726656465", "-9240811268934752", "257285058656341145", "-7611050202054313081" ]

[ "sign" ]

9

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-05-01T18:04:49

oeisdata/seq/A013/A013201.seq

30c4a6a8a539fe0c07d7b64563e9c24b

A013202

Expansion of e.g.f. log(sech(x) + sin(x)).

[ "0", "1", "-2", "4", "-12", "60", "-392", "2784", "-23072", "225680", "-2475392", "29884864", "-397554432", "5784292800", "-91112993792", "1544557830144", "-28059800686592", "543835022577920", "-11198270349934592", "244140571254682624" ]

[ "sign" ]

7

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:04:23

oeisdata/seq/A013/A013202.seq

a603675e06315a2e9f2d467a45e8e33c

A013203

Expansion of e.g.f. log(sech(x) + arcsin(x)).

[ "0", "1", "-2", "6", "-20", "128", "-920", "7784", "-75616", "863168", "-10897792", "153777536", "-2374754560", "40156766336", "-733521418240", "14452100967680", "-304697481490432", "6857570007949312", "-163883915313774592" ]

[ "sign" ]

7

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:04:54

oeisdata/seq/A013/A013203.seq

4dd01d3ccb773993e582a2d6b4737c16

A013204

E.g.f. log(sech(x) + tan(x)).

[ "0", "1", "-2", "7", "-24", "165", "-1232", "10827", "-111104", "1316585", "-17449472", "257028847", "-4164086784", "73616009805", "-1409671718912", "29070305745267", "-642304219480064", "15137914082015825", "-379068532960919552", "10050622525103392087", "-281286704647327186944" ]

[ "sign" ]

26

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-10-19T17:39:02

oeisdata/seq/A013/A013204.seq

0e0be236c5aaedec908cb595e15b45e3

A013205

Expansion of e.g.f. log(sech(x) + arctan(x)).

[ "0", "1", "-2", "3", "-8", "53", "-320", "1799", "-14464", "154985", "-1601152", "16589771", "-211517440", "3172731677", "-47440986112", "721614303695", "-12501759557632", "241340829836497", "-4730336839303168", "94965599172723859" ]

[ "sign" ]

7

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:05:09

oeisdata/seq/A013/A013205.seq

2da922b0587c363e2ef0eb0dc3e1f2e6

A013206

E.g.f.: log(sech(x)+sinh(x))=x-2/2!*x^2+6/3!*x^3-20/4!*x^4+120/5!*x^5...

[ "0", "1", "-2", "6", "-20", "120", "-872", "7056", "-68000", "758400", "-9460352", "130918656", "-1995073280", "33173038080", "-597457144832", "11587651270656", "-240799724687360", "5337660866396160", "-125711013390221312" ]

[ "sign" ]

6

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2014-05-16T08:36:08

oeisdata/seq/A013/A013206.seq

43a226ed0ad605ede5dd3279a50ab6d8

A013207

Expansion of e.g.f.: log(sech(x)+arcsinh(x))=x-2/2!*x^2+4/3!*x^3-12/4!*x^4+68/5!*x^5...

[ "0", "1", "-2", "4", "-12", "68", "-440", "3064", "-26208", "265936", "-2945152", "35730176", "-485182720", "7235106240", "-115677206528", "1984468240000", "-36707903762432", "725871298851072", "-15190637885095936", "336136505074527232" ]

[ "sign" ]

6

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-03-22T18:02:47

oeisdata/seq/A013/A013207.seq

78c9959416b86f708cab98b90fb15c1f

A013208

Expansion of e.g.f. log(sech(x) + tanh(x)).

[ "0", "1", "-2", "3", "-8", "45", "-272", "1743", "-13568", "125625", "-1290752", "14554683", "-181296128", "2473184805", "-36501112832", "579439207623", "-9859508338688", "179018972217585", "-3453141256896512", "70518070842040563" ]

[ "sign" ]

9

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2023-10-22T11:38:11

oeisdata/seq/A013/A013208.seq

323603098162e77f83342297c794cab1

A013209

Expansion of e.g.f. log(sech(x) + arctanh(x)).

[ "0", "1", "-2", "7", "-24", "173", "-1280", "11779", "-120960", "1474969", "-19695232", "296068991", "-4847011840", "87094091589", "-1687646744576", "35308668668155", "-789939274514432", "18872654969343537", "-478658276989173760" ]

[ "sign" ]

8

1

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:05:27

oeisdata/seq/A013/A013209.seq

9bf39152a74c121aa41a420321b88560

A013210

Expansion of e.g.f.: sin(log(x+1) - sin(x)) = -1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5...

[ "0", "0", "-1", "3", "-6", "23", "-105", "406", "-1260", "1385", "55755", "-1232594", "20220354", "-312914383", "4892322435", "-78950848976", "1325556752520", "-23243942565943", "426334224758967", "-8180116120702106", "164087156833319710", "-3437833525919834035", "75145008886144335831" ]

[ "sign" ]

9

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-09-29T19:37:39

oeisdata/seq/A013/A013210.seq

c72f72e326b2b96e5676f986da832ece

A013211

arcsin(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5...

[ "0", "0", "-1", "3", "-6", "23", "-135", "1036", "-8820", "79253", "-790965", "9009946", "-115646454", "1626322631", "-24603654075", "399276204328", "-6962632196520", "130208290075961", "-2596473574347177", "54889573679035678" ]

[ "sign" ]

7

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2017-06-08T16:33:42

oeisdata/seq/A013/A013211.seq

031e6cc2d95bf78419bc17426cb0776e

A013212

Expansion of e.g.f. tan(log(x+1) - sin(x)).

[ "0", "0", "-1", "3", "-6", "23", "-150", "1351", "-12600", "118187", "-1217160", "14287141", "-188257608", "2702562653", "-41510829360", "680290364755", "-11907404789280", "222160337026823", "-4398121126494144", "91965696132459313" ]

[ "sign" ]

10

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:05:36

oeisdata/seq/A013/A013212.seq

4a3cecdbd09a04be77296f014cafe6f9

A013213

Expansion of e.g.f. arctan(log(x+1) - sin(x)).

[ "0", "0", "-1", "3", "-6", "23", "-90", "91", "2520", "-37549", "453600", "-4950539", "46054008", "-322939255", "209249040", "58871058247", "-1726916711520", "36675055548935", "-665460508297536", "10471928861164609", "-129836456400150520" ]

[ "sign" ]

7

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:05:43

oeisdata/seq/A013/A013213.seq

cc72165d0a59ee6b354b1af9a8de9a22

A013214

E.g.f.: cos(log(x+1)-sin(x))= 1-3/4!*x^4+30/5!*x^5-180/6!*x^6+1113/7!*x^7...

[ "1", "0", "0", "0", "-3", "30", "-180", "1113", "-8379", "69804", "-628614", "6216155", "-67322211", "789438078", "-9958088140", "134602170675", "-1941190097399", "29743794572824", "-482464755060922", "8257903545778011", "-148698758217737671" ]

[ "sign" ]

10

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-01-27T08:49:13

oeisdata/seq/A013/A013214.seq

bd246b3ee29ab5c8f852e69f95b0a8f5

A013215

Expansion of e.g.f. sinh(log(x+1) - sin(x)).

[ "0", "0", "-1", "3", "-6", "23", "-135", "1036", "-8820", "79253", "-783405", "8594146", "-103172454", "1341998591", "-18791767995", "281865510928", "-4509653027880", "76663767284201", "-1379952916274457", "26219142105604030", "-524382882377053690" ]

[ "sign" ]

10

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:06:03

oeisdata/seq/A013/A013215.seq

d0b5a8262fa2f802784a5316ae774f07

A013216

Expansion of e.g.f. arcsinh(log(x+1) - sin(x)).

[ "0", "0", "-1", "3", "-6", "23", "-105", "406", "-1260", "1385", "48195", "-816794", "7746354", "-28590343", "-859023165", "32103094024", "-771444393720", "15805494180377", "-295855009807833", "5153505812257222", "-82415471899841090" ]

[ "sign" ]

9

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:06:15

oeisdata/seq/A013/A013216.seq

4cfee53a6eeff2c0c41672e0ab7f0f07

A013217

E.g.f.: tanh(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5...

[ "0", "0", "-1", "3", "-6", "23", "-90", "91", "2520", "-37549", "461160", "-5366339", "58528008", "-607263295", "5930324400", "-49004509553", "192095423520", "4873161825335", "-189700932165696", "4680846631063441", "-99367558621150840", "1935131558912511581" ]

[ "sign" ]

8

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-07-16T12:39:53

oeisdata/seq/A013/A013217.seq

1f42edf2445a5590188df6b497308220

A013218

E.g.f.: arctanh(log(x+1)-sin(x)) = -1/2!*x^2 + 3/3!*x^3 - 6/4!*x^4 + 23/5!*x^5 + ...

[ "0", "0", "-1", "3", "-6", "23", "-150", "1351", "-12600", "118187", "-1224720", "14702941", "-200731608", "2986886693", "-47352985680", "800879433355", "-14538372969120", "282952402841303", "-5862543549637824", "128430397643505121", "-2964326737589237000", "71982961886998521617" ]

[ "sign" ]

9

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-10-01T16:11:08

oeisdata/seq/A013/A013218.seq

91fb579f8b506747f6d3808d3d90959b

A013219

cosh(log(x+1)-sin(x))= 1+3/4!*x^4-30/5!*x^5+180/6!*x^6-1113/7!*x^7...

[ "1", "0", "0", "0", "3", "-30", "180", "-1113", "8589", "-77364", "779814", "-8613935", "103330491", "-1342230318", "18788673904", "-281844035445", "4509647078489", "-76664498306728", "1379956990973194", "-26219133416048859", "524382648114394663" ]

[ "sign" ]

5

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:24

oeisdata/seq/A013/A013219.seq

603418bfdc807bb265dc044febfa8cbe

A013220

sec(log(x+1)-sin(x))= 1+3/4!*x^4-30/5!*x^5+180/6!*x^6-1113/7!*x^7...

[ "1", "0", "0", "0", "3", "-30", "180", "-1113", "9009", "-92484", "1082214", "-13409495", "175970751", "-2496463398", "38493086632", "-639838512285", "11345248531169", "-213247722492136", "4238445880373338", "-88930681789096755" ]

[ "sign" ]

5

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:24

oeisdata/seq/A013/A013220.seq

df8e516cb07552a4ddfb7ba41ceced34

A013221

Expansion of e.g.f.: sech(log(x+1)-sin(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+1113/7!*x^7...

[ "1", "0", "0", "0", "-3", "30", "-180", "1113", "-7959", "54684", "-326214", "1420595", "4070649", "-267497802", "5659842188", "-96370811565", "1502630963281", "-22116660281384", "303797514676022", "-3707479843755885", "33686225612995313" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-06-19T11:19:26

oeisdata/seq/A013/A013221.seq

509e4a099fecad9459b610aa189251b4

A013222

Expansion of e.g.f. sin(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-105", "390", "-3500", "15785", "-181125", "807750", "-12261150", "25793625", "-784508725", "-9327500000", "54587949000", "-5375441316375", "69535091676375", "-2529291250424250", "40837337931958750", "-1268829193109066875" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:06:25

oeisdata/seq/A013/A013222.seq

c9e4ce9fe5c43ecf5b3641f96d9dc499

A013223

Expansion of e.g.f. arcsin(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-135", "600", "-6580", "42805", "-554085", "4837050", "-72076950", "796427775", "-13416518115", "180272874600", "-3389491521000", "53781169937625", "-1117482909042825", "20474457815886750", "-466428359492228250" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T22:06:36

oeisdata/seq/A013/A013223.seq

3fd0f2e9a7565953985300fe34cc5025

A013224

Expansion of e.g.f. tan(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-150", "705", "-8120", "56315", "-743400", "6903675", "-103336200", "1205843925", "-20238618400", "284376581125", "-5302197732000", "87055019166375", "-1788619770288000", "33563618929137375", "-754531467461525000" ]

[ "sign" ]

9

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:25:20

oeisdata/seq/A013/A013224.seq

9fb1872b028612c473485ce1999cb345

A013225

Expansion of e.g.f. arctan(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-90", "285", "-1960", "2275", "-20160", "-739125", "5484600", "-142631775", "978257280", "-20452770975", "62899668000", "-1760322929625", "-37787340240000", "438469128896175", "-27777038217435000", "392637961158139125" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T23:00:59

oeisdata/seq/A013/A013225.seq

470e5de07b4b4497b5021bd1aa0fc907

A013226

cos(log(x+1)-arcsin(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+525/7!*x^7...

[ "1", "0", "0", "0", "-3", "10", "-100", "525", "-5355", "37980", "-440550", "3927275", "-52278875", "560837550", "-8500662300", "106552684875", "-1819369836375", "26079977287000", "-496530064488250", "8007335798362875", "-168440275093179375" ]

[ "sign" ]

4

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:24

oeisdata/seq/A013/A013226.seq

81819eb49c00ba7fd8afaf8933ded0be

A013227

Expansion of e.g.f.: sinh(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5...

[ "0", "0", "-1", "1", "-6", "15", "-135", "600", "-6580", "42805", "-546525", "4698450", "-68473350", "732163575", "-12012875875", "153571600000", "-2805371985000", "41710773599625", "-840435196901625", "14241298404498750", "-313987574315496250" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2017-08-15T20:16:05

oeisdata/seq/A013/A013227.seq

8e027dc1812590497c2b6d550b1ca6bf

A013228

Expansion of e.g.f. arcsinh(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-105", "390", "-3500", "15785", "-188685", "946350", "-15864750", "90057825", "-2127610485", "15254857800", "-444774915000", "4213468013625", "-130378398500025", "1538133793366950", "-48054409884965250" ]

[ "sign" ]

9

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2021-09-26T12:36:03

oeisdata/seq/A013/A013228.seq

56549b32a966cb475ef961fa96cba686

A013229

Expansion of e.g.f. tanh(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-90", "285", "-1960", "2275", "-12600", "-877725", "9088200", "-206895975", "2291088800", "-43975670375", "519884196000", "-10108488755625", "124295092272000", "-2588043770222625", "31717643136725000" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-01T23:01:31

oeisdata/seq/A013/A013229.seq

2db9f08f25001e1d91d0f33e740f9b77

A013230

Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)).

[ "0", "0", "-1", "1", "-6", "15", "-150", "705", "-8120", "56315", "-750960", "7042275", "-106939800", "1270108125", "-21672530880", "312137314125", "-5928695604000", "100366159008375", "-2104970646729600", "40921600563449775" ]

[ "sign" ]

9

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:25:31

oeisdata/seq/A013/A013230.seq

6062a78036c744a38db5987aba2e7b54

A013231

Expansion of e.g.f.: cosh(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7...

[ "1", "0", "0", "0", "3", "-10", "100", "-525", "5565", "-40500", "490950", "-4581775", "63536275", "-723857550", "11365224000", "-152882218125", "2687668517625", "-41677719265000", "812130983706250", "-14259432279850875", "305288364810999375" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2017-01-09T14:40:47

oeisdata/seq/A013/A013231.seq

06a9bd38b794ca43b3b2e035dd1c142c

A013232

Expansion of e.g.f.: sec(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7...

[ "1", "0", "0", "0", "3", "-10", "100", "-525", "5985", "-45540", "591750", "-5890775", "86674775", "-1066113750", "17624076600", "-257870101125", "4747675466625", "-80439982441000", "1635873200172250", "-31462999921825875", "701530665349044375" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2017-05-29T12:34:45

oeisdata/seq/A013/A013232.seq

08d9ad3e042d49c238545429bca9dd6a

A013233

Expansion of e.g.f.: sech(log(x+1)-arcsin(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+525/7!*x^7...

[ "1", "0", "0", "0", "-3", "10", "-100", "525", "-4935", "32940", "-339750", "2618275", "-30387775", "251013750", "-3301268100", "26222434875", "-400587471375", "2197651183000", "-45694778418250", "-233584427890125", "-1331937583104375" ]

[ "sign" ]

8

0

5

null

Patrick Demichel (patrick.demichel(AT) hp.com)

2019-10-14T20:45:50

oeisdata/seq/A013/A013233.seq

4e5c6f6c06cd0f30ab95d0f2439c0eb3

A013234

Expansion of e.g.f. sin(log(x+1) - tan(x)).

[ "0", "0", "-1", "0", "-6", "8", "-105", "448", "-3780", "29360", "-231525", "2498848", "-20985426", "271494104", "-2503393893", "35568205216", "-346194368520", "4969746747488", "-41862411119529", "433992302190016", "4063211694577570", "-232678981367758168" ]

[ "sign" ]

9

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T02:36:07

oeisdata/seq/A013/A013234.seq

7b67014a94a0ce31395f833e230ea66f

A013235

E.g.f. arcsin(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-135/6!*x^6...

[ "0", "0", "-1", "0", "-6", "8", "-135", "448", "-6300", "35408", "-503685", "4051168", "-61966674", "652583384", "-10926862947", "142548422560", "-2622105365880", "40794310136480", "-822873495765321", "14853219468665920", "-327327482638812190" ]

[ "sign" ]

33

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2019-01-19T03:16:10

oeisdata/seq/A013/A013235.seq

c054678089e555108e40c588ac01a379

A013236

Expansion of e.g.f. tan(log(x+1) - tan(x)).

[ "0", "0", "-1", "0", "-6", "8", "-150", "448", "-7560", "38432", "-642600", "4827328", "-83392848", "846371264", "-15413462064", "198308799232", "-3850826179200", "59939510237696", "-1248952432920192", "22723443584373760", "-509532711855338240", "10564033699974222848", "-255033199091475264768" ]

[ "sign" ]

11

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T02:36:24

oeisdata/seq/A013/A013236.seq

cf962027212bfdab642cc23da0f27f22

A013237

Expansion of e.g.f. arctan(log(x+1) - tan(x)).

[ "0", "0", "-1", "0", "-6", "8", "-90", "448", "-2520", "26336", "-120960", "1722688", "-8914752", "110138624", "-763819056", "2510508544", "-23764540800", "-1852444415488", "25138910788992", "-839278029937664", "14518492774196480", "-301837255570263040", "6080193763585041408", "-100072615179212095488" ]

[ "sign" ]

11

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T02:36:32

oeisdata/seq/A013/A013237.seq

8494abbdf1b2f1012fa2160f92af6d3b

A013238

cos(log(x+1)-tan(x))=1-3/4!*x^4-90/6!*x^6+168/7!*x^7-4515/8!*x^8...

[ "1", "0", "0", "0", "-3", "0", "-90", "168", "-4515", "22176", "-367164", "3056240", "-44886303", "514017504", "-7678036366", "108246861240", "-1737483795047", "28423328341696", "-499635179800312", "9187861099329504", "-177412155709129435" ]

[ "sign" ]

4

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:24

oeisdata/seq/A013/A013238.seq

994ebbaf192f95523b1893679524aef2

A013239

sinh(log(x+1)-tan(x)) = -1/2!*x^2 - 6/4!*x^4 + 8/5!*x^5 - 135/6!*x^6 + ...

[ "0", "0", "-1", "0", "-6", "8", "-135", "448", "-6300", "35408", "-496125", "4051168", "-59471874", "643934744", "-10139836707", "136494374560", "-2334659166840", "37300690086560", "-696737113793721", "12786540011455552", "-260937837571947070" ]

[ "sign" ]

10

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-10-08T17:24:09

oeisdata/seq/A013/A013239.seq

87742f61c712ed512b9a6d2a316ae48e

A013240

arcsinh(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-105/6!*x^6...

[ "0", "0", "-1", "0", "-6", "8", "-105", "448", "-3780", "29360", "-239085", "2498848", "-23480226", "280142744", "-3229879653", "41622253216", "-582786564360", "8232828649568", "-134282588969529", "2159014224301504", "-39520792904437310" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-04T10:34:30

oeisdata/seq/A013/A013240.seq

197f249de1b8020de14921c15f10e08a

A013241

Expansion of e.g.f. tanh(log(x+1) - tan(x)).

[ "0", "0", "-1", "0", "-6", "8", "-90", "448", "-2520", "26336", "-113400", "1722688", "-6419952", "101489984", "-67603536", "-3543539456", "187400653440", "-5000257243648", "101437039896192", "-2393471184499712", "47958328313066240", "-1096842391672099840", "23404766719036851456" ]

[ "sign" ]

15

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-09-08T08:44:38

oeisdata/seq/A013/A013241.seq

074995bd06701f5dccc740fc1eafb45b

A013242

Expansion of e.g.f. arctanh(log(x+1) - tan(x)).

[ "0", "0", "-1", "0", "-6", "8", "-150", "448", "-7560", "38432", "-650160", "4827328", "-85887648", "855019904", "-16230758544", "204362847232", "-4163699379840", "63548399361536", "-1392682970270592", "24960951809133568", "-588583828329908480" ]

[ "sign" ]

9

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:25:08

oeisdata/seq/A013/A013242.seq

259366bee4fe0cf83d73dfc16f296589

A013243

Expansion of e.g.f.: cosh(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+4725/8!*x^8...

[ "1", "0", "0", "0", "3", "0", "90", "-168", "4725", "-22176", "404964", "-3167120", "51954903", "-563026464", "9315656350", "-126730926840", "2219178178217", "-35798640990400", "676619926058632", "-12499985614160160", "256672333451106667" ]

[ "sign" ]

8

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2021-08-02T17:12:57

oeisdata/seq/A013/A013243.seq

6edfa15dd975fb5c881098a550434426

A013244

sec(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+5145/8!*x^8...

[ "1", "0", "0", "0", "3", "0", "90", "-168", "5145", "-22176", "480564", "-3388880", "66715803", "-661044384", "12931436518", "-165061218840", "3342012731057", "-51969545948608", "1111264170332872", "-20261556663255072", "462081844937750131" ]

[ "sign" ]

4

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:25

oeisdata/seq/A013/A013244.seq

531151913d7d00335c295ba14e219365

A013245

Expansion of e.g.f.: sech(log(x+1)-tan(x))=1-3/4!*x^4-90/6!*x^6+168/7!*x^7-4095/8!*x^8...

[ "1", "0", "0", "0", "-3", "0", "-90", "168", "-4095", "22176", "-291564", "2834480", "-31372803", "415999584", "-4743336598", "72640890840", "-927946226207", "15092982705088", "-219492662105272", "3666238685959392", "-59492414408303971" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2024-07-13T11:56:36

oeisdata/seq/A013/A013245.seq

3041a1e4564d6fc311c999a106ab20b6

A013246

E.g.f.: sin(log(x+1)-arctan(x)) = -1/2!*x^2+4/3!*x^3-6/4!*x^4-105/6!*x^6...

[ "0", "0", "-1", "4", "-6", "0", "-105", "1020", "700", "-48160", "-29925", "2852100", "39624750", "-990132000", "2798670875", "35779061500", "2042289483000", "-56002989432000", "277252662828375", "1348783879306500", "236532018033561250" ]

[ "sign" ]

16

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:27:30

oeisdata/seq/A013/A013246.seq

24239c383871e235cdd858fce02492e7

A013247

Expansion of e.g.f. arcsin(log(x+1) - arctan(x)).

[ "0", "0", "-1", "4", "-6", "0", "-135", "1860", "-10780", "48160", "-705285", "12356100", "-144752850", "1590732000", "-25870559715", "486296892900", "-8228037051000", "144968627793600", "-3059375913585225", "67951188182650500" ]

[ "sign" ]

7

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:53:54

oeisdata/seq/A013/A013247.seq

80d6cf45f1863eb1819f9bb218c51049

A013248

Expansion of e.g.f. tan(log(x+1) - arctan(x)).

[ "0", "0", "-1", "4", "-6", "0", "-150", "2280", "-16520", "96320", "-1045800", "17316000", "-244530000", "3061344000", "-43372529200", "761044648000", "-14257920144000", "263995016064000", "-5068873669392000", "106427464573248000" ]

[ "sign" ]

7

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:54:05

oeisdata/seq/A013/A013248.seq

d29378fe6de215d6d71ef96208b1c09e

A013249

Expansion of e.g.f. arctan(log(x+1) - arctan(x)).

[ "0", "0", "-1", "4", "-6", "0", "-90", "600", "6440", "-96320", "282240", "-28800", "63518400", "-658944000", "-11371279920", "255692673600", "-859133808000", "9642264652800", "-1104139083715200", "14885344037491200", "258279234868512000" ]

[ "sign" ]

9

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-02T17:54:14

oeisdata/seq/A013/A013249.seq

d15dd83379bc3c4aff00e1ec18d839da

A013250

Expansion of e.g.f.: cos(log(x+1)-arctan(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+840/7!*x^7...

[ "1", "0", "0", "0", "-3", "40", "-250", "840", "-4515", "87120", "-949500", "4360400", "-24799775", "1013539800", "-16719504750", "82697979000", "-246429558375", "40173677908000", "-928344422395000", "3990578889492000", "32523853181113125" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2024-09-01T11:10:08

oeisdata/seq/A013/A013250.seq

f3aea50b6ab3df058e17f8d4e691dcf1

A013251

Expansion of e.g.f. sinh(log(x+1) - arctan(x)).

[ "0", "0", "-1", "4", "-6", "0", "-135", "1860", "-10780", "48160", "-697725", "11801700", "-124517250", "1110252000", "-17370227875", "346759094500", "-5312388315000", "71055274680000", "-1308651318365625", "30345122522578500", "-607045975529938750" ]

[ "sign" ]

17

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:22:31

oeisdata/seq/A013/A013251.seq

45d1a93092091e88d49621c72dc754fe

A013252

arcsinh(log(x+1)-arctan(x)) = -1/2!*x^2+4/3!*x^3-6/4!*x^4-105/6!*x^6...

[ "0", "0", "-1", "4", "-6", "0", "-105", "1020", "700", "-48160", "-37485", "3406500", "19389150", "-509652000", "-5641120485", "166841192700", "-280062549000", "-9498060561600", "-532972346765625", "12591110742783300", "60674315564333250", "-3333599851120344000", "-38693586241760875425" ]

[ "sign" ]

12

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2014-02-16T02:18:02

oeisdata/seq/A013/A013252.seq

65739e1758e6e79ccf935c735a8dc40c

A013253

Expansion of e.g.f. tanh(log(x+1) - arctan(x)).

[ "0", "0", "-1", "4", "-6", "0", "-90", "600", "6440", "-96320", "289800", "-583200", "83754000", "-1139424000", "-2961758800", "128868376000", "1166569872000", "-23158452096000", "-763427813616000", "16657066415808000", "110377962138080000" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:22:36

oeisdata/seq/A013/A013253.seq

8b73b600875295636030e417750119f1

A013254

Expansion of e.g.f. arctanh(log(x+1) - arctan(x)).

[ "0", "0", "-1", "4", "-6", "0", "-150", "2280", "-16520", "96320", "-1053360", "17870400", "-264765600", "3541824000", "-51903131280", "904820280000", "-17470217232000", "351612581299200", "-7290584110742400", "157383219788121600" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:22:42

oeisdata/seq/A013/A013254.seq

2fa85900792bfb675eee334be9d1044e

A013255

E.g.f.: cosh(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7...

[ "1", "0", "0", "0", "3", "-40", "250", "-840", "4725", "-97200", "1188900", "-7994800", "66364375", "-1544127000", "26899674750", "-278709795000", "3240888275625", "-85063768972000", "1886327500213000", "-26696356464492000", "405832799545216875" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-06-24T16:34:58

oeisdata/seq/A013/A013255.seq

18d2bd69474fc56841c1b270422fcc0c

A013256

Expansion of e.g.f.: sec(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7...

[ "1", "0", "0", "0", "3", "-40", "250", "-840", "5145", "-117360", "1667700", "-15263600", "150117275", "-2670166200", "50627578950", "-785508087000", "12133753256625", "-237020801836000", "5185811491549000", "-108420617788236000" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-12-19T13:31:44

oeisdata/seq/A013/A013256.seq

a9ede1561ab124aa43b256224048fec0

A013257

Expansion of e.g.f.: sech(log(x+1)-arctan(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+840/7!*x^7...

[ "1", "0", "0", "0", "-3", "40", "-250", "840", "-4095", "66960", "-470700", "-2908400", "57705725", "17230200", "273271050", "-194550993000", "2844134918625", "11555861044000", "-303831545875000", "-10640259365580000", "157518220758868125" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2020-10-24T12:50:56

oeisdata/seq/A013/A013257.seq

119ad4a170b87560d1400eb09462a57b

A013258

Expansion of e.g.f. sin(log(x+1)-sinh(x)).

[ "0", "0", "-1", "1", "-6", "23", "-105", "614", "-3500", "23785", "-160965", "1109414", "-6628446", "14323385", "625668043", "-19616745968", "448164492360", "-9492285973399", "198428984155863", "-4196829028100218", "90850331257510750", "-2024626265649361787" ]

[ "sign" ]

21

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2017-12-02T03:28:23

oeisdata/seq/A013/A013258.seq

17288b923d0236a4b0ea73e4098ab0b8

A013259

Expansion of e.g.f. arcsin(log(x+1) - sinh(x)).

[ "0", "0", "-1", "1", "-6", "23", "-135", "824", "-6580", "56853", "-574245", "6321434", "-77709654", "1034820863", "-15028496483", "234652617016", "-3939397037160", "70561239939417", "-1345864598250633", "27205562970320606", "-581454141374015770" ]

[ "sign" ]

13

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2021-04-14T15:12:35

oeisdata/seq/A013/A013259.seq

9df7bdbdbc7742a660028cc6ee67f7fb

A013260

Expansion of e.g.f. tan(log(x+1) - sinh(x)).

[ "0", "0", "-1", "1", "-6", "23", "-150", "929", "-8120", "73387", "-783720", "8979419", "-114601608", "1572411917", "-23422214816", "373361085733", "-6370742969760", "115548671959175", "-2223018007825536", "45175620448879391" ]

[ "sign" ]

11

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:04

oeisdata/seq/A013/A013260.seq

7c3653c1cc7cf3372d5b0764537aa17d

A013261

Expansion of e.g.f. arctan(log(x+1) - sinh(x)).

[ "0", "0", "-1", "1", "-6", "23", "-90", "509", "-1960", "7251", "20160", "-1028821", "16750008", "-249844519", "3354647296", "-42644099135", "506129014560", "-4945670890617", "23557830350976", "694520543221487", "-32533456838195320", "956551460942273757" ]

[ "sign" ]

11

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:14

oeisdata/seq/A013/A013261.seq

2e2293fa76953fb0b27652bf294ac304

A013262

E.g.f.: cos(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7...

[ "1", "0", "0", "0", "-3", "10", "-100", "693", "-5803", "52092", "-505734", "5365195", "-61255579", "754182702", "-9947852044", "140160046635", "-2101501505751", "33422099566552", "-562127778341242", "9970641912040443", "-186034070549967727" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2014-08-26T13:25:25

oeisdata/seq/A013/A013262.seq

9249ae5e9c4d6ce67fc99c703a2e2d6f

A013263

Expansion of e.g.f. sinh(log(x+1) - sinh(x)).

[ "0", "0", "-1", "1", "-6", "23", "-135", "824", "-6580", "56853", "-566685", "6182834", "-74106054", "961908023", "-13463412963", "201897294416", "-3230214322920", "54911338071817", "-988396711394553", "18779422653489278", "-375588020724014010" ]

[ "sign" ]

11

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:20

oeisdata/seq/A013/A013263.seq

c84fbb986db923856e7bba55430cc9f1

A013264

arcsinh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5...

[ "0", "0", "-1", "1", "-6", "23", "-105", "614", "-3500", "23785", "-168525", "1248014", "-10232046", "87236225", "-878874997", "11019659832", "-176261549880", "3445590738361", "-73605307413177", "1643075339474150", "-37315705749869570", "854635215667984933" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-04T10:35:12

oeisdata/seq/A013/A013264.seq

5dad23b1ce884da695943b25daa28cc4

A013265

Expansion of e.g.f. tanh(log(x+1) - sinh(x)).

[ "0", "0", "-1", "1", "-6", "23", "-90", "509", "-1960", "7251", "27720", "-1167421", "20353608", "-322757359", "4828920096", "-72221046535", "1088176720800", "-16527535024457", "253611377594496", "-3894220888850401", "59159990565014280" ]

[ "sign" ]

13

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:26

oeisdata/seq/A013/A013265.seq

b39d9dfc096e159a7e2723084a129d56

A013266

E.g.f.: arctanh(log(x+1)-sinh(x)) = -1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 23/5!*x^5 - ...

[ "0", "0", "-1", "1", "-6", "23", "-150", "929", "-8120", "73387", "-791280", "9118019", "-118205208", "1645324757", "-25017568576", "407175866733", "-7122304020000", "132554586404695", "-2623938745643136", "54936833779465199" ]

[ "sign" ]

9

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-07-26T01:11:58

oeisdata/seq/A013/A013266.seq

a16386d4670e3aad61e240776da07638

A013267

cosh(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...

[ "1", "0", "0", "0", "3", "-10", "100", "-693", "6013", "-54612", "556134", "-6130575", "73843539", "-960445902", "13455039728", "-201847162125", "3229894901881", "-54909246089576", "988382345047626", "-18779319891598203", "375587262559207119" ]

[ "sign" ]

4

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:25

oeisdata/seq/A013/A013267.seq

ff71d485aae7b301b4b1cb57b869fcee

A013268

sec(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...

[ "1", "0", "0", "0", "3", "-10", "100", "-693", "6433", "-59652", "656934", "-7661335", "99643159", "-1389188502", "20999144296", "-338912370405", "5846415568641", "-107035268122024", "2076101997603994", "-42490682821565523" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-12-13T15:25:04

oeisdata/seq/A013/A013268.seq

66c3c46258f8dd258332b14470f04c70

A013269

E.g.f.: sech(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7...

[ "1", "0", "0", "0", "-3", "10", "-100", "693", "-5383", "47052", "-404934", "3834435", "-36703359", "357872502", "-3463205876", "30476792955", "-198853998991", "-654085861096", "67344661591926", "-2023504421641677", "49767870277602057" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-03-07T18:17:53

oeisdata/seq/A013/A013269.seq

c29975e88db2e8e5be2429e1b9de904f

A013270

Expansion of e.g.f. sin(log(x+1) - arcsinh(x)).

[ "0", "0", "-1", "3", "-6", "15", "-105", "630", "-1260", "-6615", "-4725", "103950", "19022850", "-387161775", "3887158275", "-49945896000", "1286674389000", "-26163490728375", "376381518888375", "-6290132811212250", "161471805183438750" ]

[ "sign" ]

17

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:32

oeisdata/seq/A013/A013270.seq

034170c794944e114494c2e33a9d8ba9

A013271

Expansion of e.g.f. arcsin(log(x+1) - arcsinh(x)).

[ "0", "0", "-1", "3", "-6", "15", "-135", "1260", "-8820", "65205", "-730485", "9459450", "-114448950", "1473647175", "-22993085115", "390145555800", "-6611360956200", "119388158314425", "-2419208528762025", "51974244237865950" ]

[ "sign" ]

16

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:46

oeisdata/seq/A013/A013271.seq

856337098cf36ced8a0eab3ef3efe9c7

A013272

tan(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...

[ "0", "0", "-1", "3", "-6", "15", "-150", "1575", "-12600", "101115", "-1096200", "14293125", "-185862600", "2507429925", "-38410772400", "647097325875", "-11267340084000", "205801851630375", "-4076456247864000", "86033963719328625" ]

[ "sign" ]

8

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-03T12:10:43

oeisdata/seq/A013/A013272.seq

09fe871f9f8d4122a14473617b67e9f4

A013273

Expansion of e.g.f. arctan(log(x+1) - arcsinh(x)).

[ "0", "0", "-1", "3", "-6", "15", "-90", "315", "2520", "-42525", "332640", "-3170475", "43659000", "-387161775", "-469188720", "61992505575", "-1117425909600", "23419417796775", "-552570387969600", "9277455340778625", "-88132216543371000", "248023194743449125", "11316131820700106400", "-844433846165173589325" ]

[ "sign" ]

30

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-11-03T16:30:43

oeisdata/seq/A013/A013273.seq

598c7ace3db04b3a7735eb80bd9bc22d

A013274

E.g.f.: cos(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...

[ "1", "0", "0", "0", "-3", "30", "-180", "945", "-7035", "71820", "-670950", "5665275", "-60135075", "839188350", "-10954043100", "127205953875", "-1781461056375", "32362913583000", "-545592285488250", "7972311855382875", "-138305575427394375" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-08-12T08:32:25

oeisdata/seq/A013/A013274.seq

a022ccbc3b993eceafeb2d74608b17f7

A013275

E.g.f. sinh(log(x+1) - arcsinh(x)) = -1/2!*x^2 + 3/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 + ...

[ "0", "0", "-1", "3", "-6", "15", "-135", "1260", "-8820", "65205", "-722925", "9043650", "-101974950", "1197971775", "-17665522875", "286053768000", "-4408292889000", "70284304715625", "-1307027554457625", "26160675737946750", "-509941992726416250" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-04T10:02:02

oeisdata/seq/A013/A013275.seq

907e0cc788ba5e75f8faf1d6d32fe3c1

A013276

Expansion of e.g.f. arcsinh(log(x+1) - arcsinh(x)).

[ "0", "0", "-1", "3", "-6", "15", "-105", "630", "-1260", "-6615", "-12285", "519750", "6548850", "-111486375", "-1379863485", "47789141400", "-560415655800", "8675814972825", "-266366151876825", "5553256188630150", "-63668362865357250" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:23:59

oeisdata/seq/A013/A013276.seq

6e7c5a8e5df8a588e93b9a5c581a1684

A013277

tanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...

[ "0", "0", "-1", "3", "-6", "15", "-90", "315", "2520", "-42525", "340200", "-3586275", "56133000", "-662837175", "4767562800", "-32564156625", "551675124000", "-4287613955625", "-143803315656000", "4293290973596625", "-53086088130075000" ]

[ "sign" ]

10

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-04T13:51:24

oeisdata/seq/A013/A013277.seq

4403aab5c34f1b6bb79400f5153bca51

A013278

arctanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...

[ "0", "0", "-1", "3", "-6", "15", "-150", "1575", "-12600", "101115", "-1103760", "14708925", "-198336600", "2783105325", "-43768604880", "754367488875", "-13648397162400", "262037979177975", "-5424089927256000", "118958487086664225" ]

[ "sign" ]

7

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-11-01T18:48:51

oeisdata/seq/A013/A013278.seq

cf6cc6256dfffa08e2bfb26567f3bde0

A013279

cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...

[ "1", "0", "0", "0", "3", "-30", "180", "-945", "7245", "-79380", "822150", "-7952175", "92151675", "-1325674350", "19070251200", "-264982843125", "4134370865625", "-74940979113000", "1376877670418250", "-24833523534694875", "487380405271134375" ]

[ "sign" ]

7

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-04T10:04:32

oeisdata/seq/A013/A013279.seq

79ab688b72509da3a65f4403b62d0fcd

A013280

sec(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...

[ "1", "0", "0", "0", "3", "-30", "180", "-945", "7665", "-94500", "1124550", "-12525975", "156808575", "-2347294950", "37345908600", "-602685208125", "10429905110625", "-198454585329000", "3981241066052250", "-82461126798925875" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-10-28T11:16:23

oeisdata/seq/A013/A013280.seq

c3c4277a94237d479b15413c6123004d

A013281

sech(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...

[ "1", "0", "0", "0", "-3", "30", "-180", "945", "-6615", "56700", "-368550", "1091475", "3274425", "-85135050", "3235131900", "-86199238125", "1340238524625", "-15196606425000", "229968074085750", "-4642248475990125", "57810007510880625" ]

[ "sign" ]

4

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:25

oeisdata/seq/A013/A013281.seq

fdcd328f1506fe043ef502fc99e321f3

A013282

Expansion of e.g.f.: sin(log(x+1) - tanh(x)).

[ "0", "0", "-1", "4", "-6", "8", "-105", "572", "700", "-18800", "50715", "-903388", "31286574", "-466481992", "5285891611", "-81297834980", "1566498967800", "-27364241296480", "457841251437399", "-8635414723705660", "179513823574755490", "-3746483398412176664", "79423193110930596543", "-1794737225880978532228" ]

[ "sign" ]

17

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:24:04

oeisdata/seq/A013/A013282.seq

dcc09421f237bf9da7f8c1ef5f9c51ec

A013283

Expansion of e.g.f. arcsin(log(x+1) - tanh(x)).

[ "0", "0", "-1", "4", "-6", "8", "-135", "1412", "-10780", "83568", "-785925", "9561572", "-136414674", "1991159480", "-29164986851", "458554425604", "-8138629332600", "159215259140448", "-3271030693830729", "69435969035174084" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2019-06-19T11:31:12

oeisdata/seq/A013/A013283.seq

1bb4f6b7d8a05924d873e6c3730e15cf

A013284

tan(log(x+1)-tanh(x)) = -1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... .

[ "-1", "4", "-6", "8", "-150", "1832", "-16520", "134752", "-1207080", "15001952", "-227853648", "3403403456", "-49799942192", "785688306496", "-14001828147840", "271414904202752", "-5476099665426048", "114256690024953344", "-2506464470623466240", "58420826002735436800", "-1436588695545973880064" ]

[ "sign" ]

14

2

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-11-23T19:44:54

oeisdata/seq/A013/A013284.seq

800b7734f09a24fe49bdab4b525f98e0

A013285

Expansion of e.g.f.: arctan(log(x+1)-tanh(x)).

[ "-1", "4", "-6", "8", "-90", "152", "6440", "-69984", "443520", "-4264768", "46842048", "-44493568", "-8172692528", "163418763328", "-2660756991360", "48794732729856", "-721585374360192", "4596412549813760", "89745640000513280" ]

[ "sign" ]

15

2

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2024-12-10T05:45:04

oeisdata/seq/A013/A013285.seq

c5f316f55280e67c8d9eef9ce7738a5a

A013286

cos(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7...

[ "1", "0", "0", "0", "-3", "40", "-250", "1008", "-6307", "77040", "-742524", "5642560", "-56921887", "809088696", "-10450329838", "122609052720", "-1712600698983", "28629942196960", "-466274068556152", "7411488125575680", "-130844029905109723" ]

[ "sign" ]

4

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:25

oeisdata/seq/A013/A013286.seq

70345e378dbcfe57692550371b95a940

A013287

Expansion of e.g.f. sinh(log(x+1) - tanh(x)).

[ "0", "0", "-1", "4", "-6", "8", "-135", "1412", "-10780", "83568", "-778365", "9007172", "-116179074", "1502030840", "-20018889891", "298432864004", "-4913874359160", "84111227898208", "-1492133395973049", "28208790397251716", "-568110070842919230" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2018-08-03T04:24:16

oeisdata/seq/A013/A013287.seq

c764bbb0a15c6b04339f5172731b0bf5

A013288

Expansion of e.g.f. arcsinh(log(x+1) - tanh(x)).

[ "0", "0", "-1", "4", "-6", "8", "-105", "572", "700", "-18800", "43155", "-348988", "11050974", "22646648", "-3799664869", "70348059420", "-1064959301640", "20100827554720", "-347358967505721", "3994110465051908", "-23620965746527550", "-181317478589886104", "16354059994502026335" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-09-08T08:44:38

oeisdata/seq/A013/A013288.seq

90cd9491e8b4e5ec2c8686e7589e46d7

A013289

Expansion of e.g.f. tanh(log(x+1) - tanh(x)).

[ "0", "0", "-1", "4", "-6", "8", "-90", "152", "6440", "-69984", "451080", "-4819168", "67077648", "-533622208", "882593712", "16010702528", "-325947073920", "15149145074176", "-402497641556352", "6097893929134592", "-75930618112953600", "1338998058465717248", "-21267088125132503808" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-09-08T08:44:38

oeisdata/seq/A013/A013289.seq

b956e631a8ace34a9a942eaa283663a1

A013290

Expansion of e.g.f. arctanh(log(x+1) - tanh(x)).

[ "0", "0", "-1", "4", "-6", "8", "-150", "1832", "-16520", "134752", "-1214640", "15556352", "-248089248", "3892532096", "-58976309392", "950047701696", "-17523231473280", "360338416640512", "-7742581556059008", "169950515543962112", "-3892670273719159040", "95372338941501045760" ]

[ "sign" ]

13

0

4

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-09-08T08:44:38

oeisdata/seq/A013/A013290.seq

123ba1a7626f77a00844c7e2f988285f

A013291

Expansion of e.g.f.: cosh(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7...

[ "1", "0", "0", "0", "3", "-40", "250", "-1008", "6517", "-87120", "981924", "-9387840", "103808727", "-1434810936", "20930063102", "-308368386480", "4838631496873", "-82524970065824", "1497919608463368", "-28494789851849472", "568078461069883755" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2022-05-07T11:52:48

oeisdata/seq/A013/A013291.seq

98e83ce7a80ad86c4f78b7a7979e0767

A013292

Expansion of e.g.f.: sec(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7...

[ "1", "0", "0", "0", "3", "-40", "250", "-1008", "6937", "-107280", "1460724", "-16878400", "198206107", "-2751120216", "45257093830", "-796023874800", "14139937791153", "-259510939790752", "5134675490787400", "-109869768885171456" ]

[ "sign" ]

6

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2016-08-25T17:46:44

oeisdata/seq/A013/A013292.seq

86bc99a87994ea5883ae1a4b35857441

A013293

E.g.f.: sech(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7...

[ "1", "0", "0", "0", "-3", "40", "-250", "1008", "-5887", "56880", "-263724", "-1848000", "36228093", "-377490984", "7141572490", "-132772794000", "1495810787297", "-10978685025568", "115616765332680", "-1113424428155904", "-36631866029794659" ]

[ "sign" ]

8

0

5

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2013-12-01T11:26:18

oeisdata/seq/A013/A013293.seq

1f1cf3001e2480cdbf1dfc3ef881fdb2

A013294

sin(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-105/6!*x^6-3780/8!*x^8...

[ "1", "6", "105", "3780", "231525", "21517650", "2810132325", "487540053000", "107478429683625", "28959878236038750", "9172717463134850625", "3251808972997572487500", "1181538736415476892578125" ]

[ "nonn" ]

4

0

2

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2012-02-24T12:51:25

oeisdata/seq/A013/A013294.seq

3a69abc5ccc4a2f53828eb5a6c105224

A013295

E.g.f.: -arcsin(log(x+1)-arctanh(x)) (even powers only).

[ "0", "1", "6", "135", "6300", "503685", "61434450", "10620124515", "2471073204600", "744907219281225", "282494651079390750", "131664032748125452575", "73997676994079578439700", "49364071776588936300058125", "38571353476865946088188086250", "34900798662291878654547561226875" ]

[ "nonn" ]

19

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2014-01-02T17:53:49

oeisdata/seq/A013/A013295.seq

20d93a7d0b45cef346376dffdf1ad4f5

A013296

tan(arctanh(x)-log(x+1)) = 1/2!*x^2 + 6/4!*x^4 + 150/6!*x^6 + 7560/8!*x^8...

[ "0", "1", "6", "150", "7560", "642600", "82328400", "14799985200", "3550699152000", "1095489931536000", "422416533258720000", "199001229578030880000", "112442434205652270720000", "75042084306026165328000000" ]

[ "nonn" ]

9

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2015-02-06T11:25:58

oeisdata/seq/A013/A013296.seq

05155f69ed7c1c0ad9a88dec0c04c5c6

A013297

-arctan(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+90/6!*x^6+2520/8!*x^8...

[ "0", "1", "6", "90", "2520", "120960", "9979200", "1377295920", "285145660800", "78922558915200", "27250976424672000", "11359413770434329600", "5628391828843104921600", "3284252230408078849920000", "2238997166752030045320960000" ]

[ "nonn" ]

12

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2016-11-29T10:46:50

oeisdata/seq/A013/A013297.seq

5782d0acf54b19490b0d10ca23607506

A013298

cos(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4515/8!*x^8...

[ "1", "0", "-3", "-90", "-4515", "-359100", "-42047775", "-6839182350", "-1478380278375", "-410407616619000", "-142401495047686875", "-60416785362985301250", "-30781865895322663996875", "-18550414761518537710312500" ]

[ "sign" ]

6

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2019-03-17T16:20:53

oeisdata/seq/A013/A013298.seq

ba15023acf47487516993f3ba58db70a

A013299

-sinh(log(x+1)-arctanh(x)) = 1/2!*x^2 + 6/4!*x^4 + 135/6!*x^6 + 6300/8!*x^8 + ...

[ "1", "6", "135", "6300", "496125", "58939650", "9833098275", "2191376187000", "628651043645625", "225615874552818750", "99022807341232149375", "52176017395434685252500", "32501310835906189355203125" ]

[ "nonn" ]

20

0

2

[ "A013299", "A013302" ]

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2014-08-03T14:29:45

oeisdata/seq/A013/A013299.seq

1d658dd3451cc62d5f292f9d341fa604

A013300

-arcsinh(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+105/6!*x^6+3780/8!*x^8...

[ "0", "1", "6", "105", "3780", "239085", "24012450", "3536618085", "716383067400", "190018401197625", "63663766667250750", "26240058743733259425", "13041458355044952132300", "7692606854418016599193125" ]

[ "nonn" ]

6

0

3

null

Patrick Demichel (patrick.demichel(AT)hp.com)

2016-11-29T10:50:21

oeisdata/seq/A013/A013300.seq

42b42e276e82733a170a27a5ad8b546f