Datasets:
christopher
/
oeis

Dataset card Data Studio Files
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Community
2
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stringlengths
7
7
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4
573
sequence
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1
348
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8
score
int64
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2.35k
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int64
-14,827
666,262,453B
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635M
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cross_references
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128
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231
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timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-07-19 00:40:46
filename
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29
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32
32
A012901
Expansion of e.g.f. tan(arcsin(x) + log(x+1)).
[ "0", "2", "-1", "19", "-54", "845", "-5430", "87295", "-918680", "16270805", "-238487400", "4764161125", "-88762680600", "2008590276875", "-45022914664000", "1149365559242875", "-29931318941628000", "855642174671233625", "-25288573510727280000" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2021-11-04T13:23:49
oeisdata/seq/A012/A012901.seq
cd8d30c7023f4b2dc3abad0d8c069b23
A012902
Expansion of e.g.f. arctan(arcsin(x) + log(x+1)).
[ "0", "2", "-1", "-13", "42", "501", "-4410", "-41949", "837816", "5284125", "-248270400", "-488121291", "104085035208", "-402493400001", "-57558177252576", "685798849437471", "39562885528800480", "-935890930678896423", "-31753772314067599488" ]
[ "sign" ]
15
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-29T18:59:24
oeisdata/seq/A012/A012902.seq
8c93bf266f7ff3ae2c568a09c1576e79
A012903
Expansion of e.g.f.: cos(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5...
[ "1", "0", "-4", "6", "-11", "10", "20", "-735", "6325", "-72900", "677450", "-8170525", "88464325", "-1197032850", "15007986500", "-229038025125", "3278247987625", "-56064152729000", "903660871343750", "-17171288454601125", "308020615136820625" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-08-28T15:46:41
oeisdata/seq/A012/A012903.seq
f1f34add824767bf03a15efdf3b054c0
A012904
E.g.f.: sinh(arcsin(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+215/5!*x^5...
[ "0", "2", "-1", "11", "-30", "215", "-1095", "9200", "-67060", "676565", "-6364125", "75816050", "-870716550", "12014125175", "-162677426275", "2556597056000", "-39838813521000", "703292880031625", "-12389158068197625", "242880759376082750" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-03-14T14:48:23
oeisdata/seq/A012/A012904.seq
cebbc89d80288b5f5d8a63234005f843
A012905
Expansion of e.g.f: arcsinh(arcsin(x)+log(x+1))=2*x-1/2!*x^2-5/3!*x^3+18/4!*x^4+171/5!*x^5...
[ "0", "2", "-1", "-5", "18", "171", "-1545", "-10782", "239988", "1096641", "-62140365", "-24333498", "23204064114", "-125220001599", "-11614731493365", "159067996590888", "7270653671958600", "-190675584788792103", "-5297005049241975993" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-10-18T14:00:49
oeisdata/seq/A012/A012905.seq
bcb648e233e22ad020336351995f4452
A012906
Expansion of e.g.f. tanh(arcsin(x) + log(x+1)).
[ "0", "2", "-1", "-13", "42", "245", "-2490", "-4765", "209720", "-530035", "-22851000", "212068925", "2756074200", "-63885256825", "-209294612800", "19894322342375", "-99845235204000", "-6458228568556375", "102934030004208000", "1969133836186414625", "-73966351106066965000", "-303630429195570173125" ]
[ "sign" ]
16
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-27T04:37:46
oeisdata/seq/A012/A012906.seq
a5753aa20f6800b6c42772288c7539fe
A012907
Expansion of e.g.f. arctanh(arcsin(x) + log(x+1)).
[ "0", "2", "-1", "19", "-54", "1101", "-7350", "164799", "-1896216", "47373669", "-798078960", "22351446621", "-499519816488", "15693898179267", "-436537157408352", "15341994434915379", "-508785690545526240", "19903928558305223817", "-763707284830490571648", "33059096840135852582481", "-1436314940244218000486520" ]
[ "sign" ]
13
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-27T04:37:24
oeisdata/seq/A012/A012907.seq
2057e396a540c73b65340ea58ae9e815
A012908
cosh(arcsin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+43/4!*x^4-170/5!*x^5...
[ "1", "0", "4", "-6", "43", "-170", "1300", "-8085", "74365", "-622260", "6828550", "-71435375", "916947475", "-11485611150", "169312686400", "-2467472314125", "41136075813625", "-683273434337000", "12720608899482250", "-237102839757034875" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:11
oeisdata/seq/A012/A012908.seq
2b4b83a2a6b63d60ba2378fe8104e43c
A012909
sec(arcsin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5...
[ "1", "0", "4", "-6", "107", "-490", "7780", "-66045", "1113185", "-14056740", "264337750", "-4409272175", "93796875575", "-1927625491350", "46373594683000", "-1124449061497125", "30408904419466625", "-845698069130473000" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:11
oeisdata/seq/A012/A012909.seq
52c5b20c2b86750f4c3df81660ab72e4
A012910
E.g.f.: sech(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5...
[ "1", "0", "-4", "6", "53", "-310", "-1180", "21945", "-3175", "-2137140", "11656250", "251460275", "-3687426175", "-28037901450", "1119181111100", "-870863209125", "-357796134031375", "3533382651695000", "115201679883533750" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-03-17T18:10:59
oeisdata/seq/A012/A012910.seq
d13b472896eb9348de50cece0a0af3c4
A012911
Expansion of e.g.f. log(arcsin(x) + exp(x)).
[ "0", "2", "-3", "12", "-66", "488", "-4464", "49112", "-628624", "9201728", "-151417984", "2768998144", "-55689376768", "1221892625536", "-29042327308032", "743397015460096", "-20387623448193024", "596407256671842304", "-18537290145521811456" ]
[ "sign" ]
8
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-27T04:35:11
oeisdata/seq/A012/A012911.seq
9158f38da093aea9dc0d67d0cb1b0626
A012912
Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...
[ "1", "2", "4", "8", "16", "42", "184", "1192", "8320", "63954", "529824", "5076392", "52633728", "615675322", "7595502464", "104080146632", "1487529832448", "23400806440098", "380497987834368", "6758267272643528", "123182327672588288" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-07-02T13:40:21
oeisdata/seq/A012/A012912.seq
08931d04933807539c61c28186d67354
A012913
E.g.f. = arcsin(arcsin(x)+sin(x))=2*x+8/3!*x^3+298/5!*x^5+29864/7!*x^7...
[ "2", "8", "298", "29864", "5869522", "1909683624", "928881876154", "631294998872264", "571333821748459682", "664222773223901955016", "964668706096244776942666", "1711569530812742078746227816", "3642858069303424513561283367026" ]
[ "nonn" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012913.seq
81caaec886f0a7439121c59ec3b0f69f
A012914
tan(arcsin(x)+sin(x))=2*x+16/3!*x^3+522/5!*x^5+36720/7!*x^7...
[ "2", "16", "522", "36720", "4461330", "830213360", "219316022746", "78023205911120", "35958898030220578", "20839302944521398608", "14832042611278187449258", "12718289601867562421920688", "12931877167403668813222980658" ]
[ "nonn" ]
11
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-07T04:57:08
oeisdata/seq/A012/A012914.seq
e0835217b16004e0b8a9f534ba4f307c
A012915
arctan(arcsin(x)+sin(x))=2*x-16/3!*x^3+778/5!*x^5-93616/7!*x^7...
[ "2", "-16", "778", "-93616", "21074194", "-7620799536", "4042289549530", "-2956250841424336", "2851001343645856034", "-3505606623923415246032", "5352926041940658837364906", "-9937511692827308946423419760" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-04-27T13:20:35
oeisdata/seq/A012/A012915.seq
31721dbac31e1d828feacadd54773de7
A012916
cos(arcsin(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-184/6!*x^6+1152/8!*x^8...
[ "1", "-4", "16", "-184", "1152", "-99744", "-5133696", "-906195840", "-171321409536", "-44275226644992", "-14354506519279616", "-5752303885373679616", "-2787951257303019290624", "-1607824416338974332624896" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:12
oeisdata/seq/A012/A012916.seq
af08d76ead6988beda63ea2a8b14d338
A012917
sinh(arcsin(x) + sin(x)) = 2*x+8/3!*x^3+42/5!*x^5+1192/7!*x^7 ... .
[ "2", "8", "42", "1192", "63954", "5076392", "615675322", "104080146632", "23400806440098", "6758267272643528", "2438041675354644298", "1074467739302301394024", "568047079307626755260018", "354831538774222730953869416" ]
[ "nonn" ]
8
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-05-25T15:03:57
oeisdata/seq/A012/A012917.seq
21703ef59dfd07ce1fb640770503484f
A012918
arcsinh(arcsin(x)+sin(x))=2*x-8/3!*x^3+298/5!*x^5-29416/7!*x^7...
[ "2", "-8", "298", "-29416", "5805010", "-1886608616", "917162117818", "-622654532107336", "562865488506452130", "-653565528977071759176", "947976470998802461571146", "-1679754223193478305467460648", "3570405336414257223991774221426" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-10-13T18:21:54
oeisdata/seq/A012/A012918.seq
de550bc023229d3b705423cc331c0893
A012919
tanh(arcsin(x)+sin(x))=2*x-16/3!*x^3+522/5!*x^5-36272/7!*x^7...
[ "2", "-16", "522", "-36272", "4332306", "-790580272", "204634311130", "-71299016389072", "32177435417679138", "-18258713934191944912", "12723759781734763643818", "-10682188209509894403494768", "10634244661728432806888813618" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:12
oeisdata/seq/A012/A012919.seq
ec9f6648b13eeb132c7a73f882d67ea6
A012920
arctanh(arcsin(x)+sin(x))=2*x+16/3!*x^3+778/5!*x^5+94064/7!*x^7...
[ "2", "16", "778", "94064", "21203218", "7679356144", "4079013377242", "2987290363267664", "2884950332801855778", "3552295906912003762512", "5431778247093958269249706", "10097951729467246217104155568" ]
[ "nonn" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-05T15:42:52
oeisdata/seq/A012/A012920.seq
6eb8becb5c3265238d8c4f02d7cf8ca8
A012921
cosh(arcsin(x)+sin(x))=1+4/2!*x^2+16/4!*x^4+184/6!*x^6+8320/8!*x^8...
[ "1", "4", "16", "184", "8320", "529824", "52633728", "7595502464", "1487529832448", "380497987834368", "123182327672588288", "49234752596303947776", "23812565081465676070912", "13707078729819239829938176" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:12
oeisdata/seq/A012/A012921.seq
78733d8d431cd77a951388805b78f340
A012922
sec(arcsin(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+4024/6!*x^6+380544/8!*x^8...
[ "1", "4", "80", "4024", "380544", "57960864", "12957750912", "3995431992192", "1624807254577152", "842520079540277760", "542544550547724265472", "424772248087529271371776", "397354005571214204967354368" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:12
oeisdata/seq/A012/A012922.seq
a2e51ace6d8342472d4d8a1cca518377
A012923
sech(arcsin(x)+sin(x))=1-4/2!*x^2+80/4!*x^4-4024/6!*x^6+373376/8!*x^8...
[ "1", "-4", "80", "-4024", "373376", "-55810464", "12218736768", "-3690395100032", "1469402675519488", "-746064489482211840", "470375829415840688128", "-360567791801354924107776", "330231250494338680414994432" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:12
oeisdata/seq/A012/A012923.seq
1afa913e611f97b3c22e86b6a8282e5d
A012924
exp(tan(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+82/5!*x^5...
[ "1", "2", "3", "6", "21", "82", "399", "2198", "13769", "96514", "741659", "6271430", "57131613", "564082066", "5940252647", "66977636630", "799946033937", "10133856674178", "135255348669235", "1901070660453382", "28024821142319397" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-07-04T14:04:34
oeisdata/seq/A012/A012924.seq
f03aefd9141d9115e6fcb0bea24b3dfe
A012925
Expansion of e.g.f. sin(tan(x)+log(x+1)).
[ "0", "2", "-1", "-4", "18", "-118", "495", "-3336", "16492", "-124390", "697995", "-5665356", "31847574", "-230282830", "297803779", "15399702624", "-527666397480", "11555528032498", "-238917247672905", "4947107036570988", "-102644658064599590" ]
[ "sign" ]
12
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-05-30T17:04:56
oeisdata/seq/A012/A012925.seq
0f9a510806a4fbd2a03b0a14d7681d06
A012926
Expansion of e.g.f. arcsin(tan(x) + log(x+1)).
[ "0", "2", "-1", "12", "-30", "518", "-3135", "64792", "-691180", "16502714", "-261559125", "7121210052", "-151437029370", "4664635385070", "-124619795266603", "4313193388041072", "-138442144387249560", "5347435223354818034", "-199835788440955821417" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-11-17T15:49:08
oeisdata/seq/A012/A012926.seq
69be93f25432aab74f3b40abcee16b22
A012927
Expansion of e.g.f. tan(tan(x) + log(x+1)).
[ "0", "2", "-1", "20", "-54", "932", "-5670", "99648", "-1005704", "19127984", "-273119400", "5764554528", "-106046677968", "2504052726944", "-55986392252336", "1478337150849408", "-38674242587249280", "1136792156499528448" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-27T19:24:37
oeisdata/seq/A012/A012927.seq
4f45a02ba0c5e6438553c370f9acfaac
A012928
Expansion of e.g.f.: cos(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...
[ "1", "0", "-4", "6", "-19", "20", "26", "-1218", "13021", "-123624", "1277216", "-12476530", "142470545", "-1576920228", "20310039174", "-259802497290", "3783797829145", "-55910099232336", "917432601399236", "-15504261990312618", "284553809208217365" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-08-09T16:12:46
oeisdata/seq/A012/A012928.seq
3eb2fd9acd6f83263c8684ee7f881326
A012929
Expansion of e.g.f. sinh(tan(x) + log(x+1)).
[ "0", "2", "-1", "12", "-30", "262", "-1215", "11480", "-79212", "843946", "-7748685", "93797220", "-1071775914", "14707276846", "-200262193131", "3096277157360", "-48775756669080", "843212284894418", "-15047773283930841", "288546782603059900" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-04-17T21:31:33
oeisdata/seq/A012/A012929.seq
34c39385297a0da997e211e69432f980
A012930
arcsinh(tan(x)+log(x+1)) = 2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4+138/5!*x^5...
[ "0", "2", "-1", "-4", "18", "138", "-1425", "-7368", "207340", "481578", "-49899645", "122677012", "17081066310", "-160273109518", "-7677995678717", "153514412519392", "4141750812789720", "-158348457721397742", "-2343499454063177433" ]
[ "sign" ]
13
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-03T10:03:08
oeisdata/seq/A012/A012930.seq
c2f2e609be83979b8bbb95cd33fbf2f2
A012931
Tanh(tan(x)+log(x+1)) = 2*x - 1/2!*x^2 - 12/3!*x^3 + 42/4!*x^4 + 172/5!*x^5 - ...
[ "0", "2", "-1", "-12", "42", "172", "-2250", "896", "153384", "-952688", "-11282040", "209648736", "279312528", "-43286799008", "318803909424", "8375677890176", "-180484941598080", "-918969731775232", "79664942329607808", "-561407566293575168" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-01-28T00:59:48
oeisdata/seq/A012/A012931.seq
ec1bb4aed1ca7f3d6b0d29b60fd1bf46
A012932
Arctanh(tan(x)+log(x+1)) = 2*x - 1/2!*x^2 + 20/3!*x^3 - 54/4!*x^4 + 1188/5!*x^5 + ...
[ "0", "2", "-1", "20", "-54", "1188", "-7590", "181632", "-2019080", "53249472", "-874603440", "25606617472", "-562552304160", "18326040005024", "-504598523011856", "18267771678474112", "-603047158364227200", "24178616400492978432", "-927480579061871147904", "40990916944151608195584" ]
[ "sign" ]
9
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-05-03T14:29:58
oeisdata/seq/A012/A012932.seq
849fc18dcb9fdce3682d2175748cbeb2
A012933
Expansion of e.g.f.: cosh(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+51/4!*x^4-180/5!*x^5...
[ "1", "0", "4", "-6", "51", "-180", "1614", "-9282", "92981", "-747432", "8490344", "-87525790", "1128907527", "-14143194780", "206202445778", "-3029299520730", "49575702703017", "-833078428220240", "15183028632600076", "-286645711942606518" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-05-07T14:52:16
oeisdata/seq/A012/A012933.seq
b387f719f99a85200adfe2f1c6cc0ba2
A012934
Expansion of e.g.f.: sec(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...
[ "1", "0", "4", "-6", "115", "-500", "8734", "-70602", "1289945", "-15743304", "315266344", "-5159155430", "115185531211", "-2350119405036", "58713986375802", "-1425578090696970", "39746678648110001", "-1113352395040853712" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-12-07T18:27:55
oeisdata/seq/A012/A012934.seq
4fded7e1dbd3356778fc73a0162f92d9
A012935
sech(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+45/4!*x^4-300/5!*x^5...
[ "1", "0", "-4", "6", "45", "-300", "-534", "18102", "-53375", "-1330056", "14429056", "83284630", "-3017899731", "8484163116", "613472266078", "-8040573553530", "-103350766263711", "3850271965266992", "-4102891850851420", "-1601296818449786010" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:13
oeisdata/seq/A012/A012935.seq
35951731d19a1a860abd399a70745e16
A012936
Expansion of e.g.f.: exp(tan(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+89/5!*x^5...
[ "1", "2", "4", "9", "24", "89", "438", "2527", "16072", "111257", "851866", "7138923", "65286276", "641779181", "6769229670", "76040241775", "908362886512", "11481062493713", "153172480730482", "2149793170916115", "31664861861245692" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-05-01T15:12:23
oeisdata/seq/A012/A012936.seq
2a67cec9fc9f03cd42f53416695ce72a
A012937
sin(tan(x)+sin(x))=2*x-7/3!*x^3+9/5!*x^5-865/7!*x^7-12375/9!*x^9...
[ "2", "-7", "9", "-865", "-12375", "-848621", "-34580971", "-1631142593", "100600927153", "62231815768555", "20774283625070381", "6639875773736986167", "2242689817858462241481", "821491704576305014178467", "328684614938160876954025861", "143534888422953578956304571183" ]
[ "sign" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012937.seq
428c6b1472936e390c2378e3b876e2e8
A012938
arcsin(tan(x)+sin(x))=2*x+9/3!*x^3+345/5!*x^5+35679/7!*x^7...
[ "2", "9", "345", "35679", "7287705", "2469409899", "1251685072365", "886694457686319", "836562454066455825", "1013979474894148785939", "1535427152182443806492085", "2840548817963811288388584759", "6304091268712286478093099125145" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-12-26T13:47:28
oeisdata/seq/A012/A012938.seq
11f00c92a57643a34965213c292946a8
A012939
tan(tan(x)+sin(x))=2*x+17/3!*x^3+609/5!*x^5+47183/7!*x^7...
[ "2", "17", "609", "47183", "6302193", "1287739735", "373294251737", "145684622344879", "73644231787309153", "46808510431782973735", "36537199084739607908105", "34359533746606613833938495", "38314231054861075994802320721" ]
[ "nonn" ]
9
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-07T05:15:44
oeisdata/seq/A012/A012939.seq
3d5dd79af7aa90ed7262e12c8e982d09
A012940
cos(tan(x)+sin(x))=1-4/2!*x^2+8/4!*x^4-118/6!*x^6+1912/8!*x^8...
[ "1", "-4", "8", "-118", "1912", "53094", "7487532", "722809274", "92118225104", "13286089862286", "2227449108601940", "418148868660099330", "84975662262230959480", "17350569219593304893078", "2817250972553523348038716", "-252622788373980942633484214" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012940.seq
6d40066b400ad0aee32b1192564ce05f
A012941
sinh(tan(x)+sin(x))=2*x+9/3!*x^3+89/5!*x^5+2527/7!*x^7...
[ "2", "9", "89", "2527", "111257", "7138923", "641779181", "76040241775", "11481062493713", "2149793170916115", "488379128031442997", "132245839817990044279", "42060741963935894795801", "15518361679394598879383835" ]
[ "nonn" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:13
oeisdata/seq/A012/A012941.seq
7b211c97426a492b38f7559f8abfed2d
A012942
arcsinh(tan(x)+sin(x))=2*x-7/3!*x^3+265/5!*x^5-25057/7!*x^7...
[ "2", "-7", "265", "-25057", "4755625", "-1487826157", "695606193685", "-454203430112257", "394845201696352945", "-440870517608275534357", "614891740513394365279405", "-1047641908006405960227528457", "2141116578378965145859645589065" ]
[ "sign" ]
12
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-04T06:35:41
oeisdata/seq/A012/A012942.seq
0978f6fd4991317c7f4069002d7ab6f2
A012943
tanh(tan(x)+sin(x))=2*x-15/3!*x^3+449/5!*x^5-28721/7!*x^7...
[ "2", "-15", "449", "-28721", "3151889", "-528627033", "125743579433", "-40263668914097", "16699083371803553", "-8708208808970477865", "5576841084485883897593", "-4302777965593093610367809", "3936500695596850373178005681" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:13
oeisdata/seq/A012/A012943.seq
272b7b900839e7ec800acb5f03a1ea47
A012944
E.g.f.: arctanh(tan(x)+sin(x))=2*x+17/3!*x^3+865/5!*x^5+109007/7!*x^7...
[ "2", "17", "865", "109007", "25619185", "9676271447", "5360201676505", "4094035686738287", "4123461735603625825", "5295201587012317791527", "8444330016251458512555145", "16372171162004294836053543167" ]
[ "nonn" ]
8
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-05T15:44:54
oeisdata/seq/A012/A012944.seq
5c0b7fe7e5ad5b4424d22c8c9ccea06a
A012945
cosh(tan(x)+sin(x))=1+4/2!*x^2+24/4!*x^4+438/6!*x^6+16072/8!*x^8...
[ "1", "4", "24", "438", "16072", "851866", "65286276", "6769229670", "908362886512", "153172480730482", "31664861861245692", "7869073015313071518", "2313193245685672638952", "793542325131834122104042" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:13
oeisdata/seq/A012/A012945.seq
f2a351364c144a2134160a00c17fdc9a
A012946
sec(tan(x)+sin(x))=1+4/2!*x^2+88/4!*x^4+4918/6!*x^6+512840/8!*x^8...
[ "1", "4", "88", "4918", "512840", "85832346", "21060321252", "7123975341478", "3177627678241264", "1807126392930146418", "1276246453970596099996", "1095817970658515950880094", "1124188719460916437784957096" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:13
oeisdata/seq/A012/A012946.seq
331dfa848dc12e26497a4e005031cd3c
A012947
sech(tan(x)+sin(x))=1-4/2!*x^2+72/4!*x^4-3318/6!*x^6+283640/8!*x^8...
[ "1", "-4", "72", "-3318", "283640", "-38913946", "7833273228", "-2173778522118", "795497453081936", "-371167668444757618", "215062106038617789684", "-151501184773295673275454", "127516166752654555516090424" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-10-29T18:39:16
oeisdata/seq/A012/A012947.seq
e6446d95797d6a4fb9b5a0b9bf09f3ba
A012948
Expansion of e.g.f.: exp(tan(x)+arcsin(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5...
[ "1", "2", "4", "11", "40", "177", "934", "5665", "39064", "301209", "2572314", "24156365", "247234332", "2751134557", "33003190406", "426920246945", "5905698391952", "87530592395793", "1378247307547506", "23127717388170197", "409930747848171812" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-03-31T10:01:42
oeisdata/seq/A012/A012948.seq
cb6f016d99c0241460dcd00c4eb9ebd5
A012949
E.g.f. = sin(tan(x)+arcsin(x))=2*x-5/3!*x^3-63/5!*x^5-1311/7!*x^7-40503/9!*x^9...
[ "2", "-5", "-63", "-1311", "-40503", "-1746571", "-107820971", "-11358568591", "-2325027955727", "-758733754118995", "-316897192245332147", "-156022193472911939575", "-88731619980459755789207" ]
[ "sign" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012949.seq
8b1ccf3a946b72cbfb470e1b03907be7
A012950
a(n) = (2n+1)! * [x^(2n+1)]; expansion of arcsin(tan(x)+arcsin(x)).
[ "2", "11", "433", "47777", "10445209", "3792307917", "2060929368925", "1565891035323617", "1584908855099457809", "2061186455316106953685", "3349214731529157234143461", "6649249948563897129719525769", "15836980365691934720682871441241", "44569352711436570809863777097634621" ]
[ "nonn" ]
16
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-07-21T17:42:26
oeisdata/seq/A012/A012950.seq
f620ad495e93eb4d2ad6950909f845af
A012951
tan(tan(x)+arcsin(x))=2*x+19/3!*x^3+777/5!*x^5+68913/7!*x^7...
[ "2", "19", "777", "68913", "10552545", "2473498553", "822718602721", "368440852318193", "213728212488651073", "155891727584133609833", "139640409724657756366273", "150696011591407998679347809", "192838464530919232345949380513" ]
[ "nonn" ]
9
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-07T05:25:46
oeisdata/seq/A012/A012951.seq
87ad142fd2c44db3d5be4ff2699cb8fb
A012952
cos(tan(x)+arcsin(x))=1-4/2!*x^2-8/4!*x^4+26/6!*x^6+4008/8!*x^8...
[ "1", "-4", "-8", "26", "4008", "288486", "23670420", "2395713498", "304636017840", "49472656345230", "10516377983584300", "2991272711709675554", "1135988864475032518984", "557539993775779096522774" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-03-23T10:25:34
oeisdata/seq/A012/A012952.seq
ca91831876659ee1aae1992aefede492
A012953
sinh(tan(x)+arcsin(x))=2*x+11/3!*x^3+177/5!*x^5+5665/7!*x^7...
[ "2", "11", "177", "5665", "301209", "24156365", "2751134557", "426920246945", "87530592395793", "23127717388170197", "7706606195256664933", "3175507031728096474441", "1589048123886691201083353", "949941051045279216948594749", "668518010348943936014011388589" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-05-28T19:20:37
oeisdata/seq/A012/A012953.seq
6fbbc92da8fc1bc7194677a932d2f4f5
A012954
arcsinh(tan(x)+arcsin(x))=2*x-5/3!*x^3+193/5!*x^5-16543/7!*x^7...
[ "2", "-5", "193", "-16543", "2878153", "-818673803", "348172234837", "-206572325773903", "163130348972145393", "-165417368904178869075", "209489646598962151351501", "-324053551878860145326926775", "601237252095423311815599678441" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-10-01T18:35:19
oeisdata/seq/A012/A012954.seq
7bcfeede6db2c425fa88850c3684184f
A012955
tanh(tan(x)+arcsin(x))=2*x-13/3!*x^3+297/5!*x^5-14159/7!*x^7...
[ "2", "-13", "297", "-14159", "1160001", "-145101559", "25744031185", "-6148333270639", "1901959189083393", "-739758301216077031", "353356041582793698193", "-203342136439150617071903", "138755544150262881446540993" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-12-09T09:45:44
oeisdata/seq/A012/A012955.seq
1e1248800fe8f058b91e7488a0fa5d53
A012956
arctanh(tan(x)+arcsin(x))=2*x+19/3!*x^3+1033/5!*x^5+139697/7!*x^7...
[ "2", "19", "1033", "139697", "35245537", "14290318777", "8497769039329", "6967293521417777", "7532911599857139777", "10384169309400234051945", "17776358796209666513666881", "36997487367543781033857758881" ]
[ "nonn" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-02-05T15:57:08
oeisdata/seq/A012/A012956.seq
f8741488a2e9c3ebed42afd4617e220f
A012957
cosh(tan(x)+arcsin(x))=1+4/2!*x^2+40/4!*x^4+934/6!*x^6+39064/8!*x^8...
[ "1", "4", "40", "934", "39064", "2572314", "247234332", "33003190406", "5905698391952", "1378247307547506", "409930747848171812", "152227803027302287806", "69261955789532321824024", "37950380064596445532181866" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-04-04T08:40:56
oeisdata/seq/A012/A012957.seq
26940fe73476fd49ff0b648259c5581d
A012958
sec(tan(x)+arcsin(x))=1+4/2!*x^2+104/4!*x^4+6694/6!*x^6+801048/8!*x^8...
[ "1", "4", "104", "6694", "801048", "153856794", "43323364476", "16817632212294", "8608497639495696", "5618149971940668018", "4553225539309052888516", "4486447408838286577963006", "5281810573883783813034431960" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012958.seq
5502c3b77cb904cebbfc5b688e216cf4
A012959
sech(tan(x)+arcsin(x))=1-4/2!*x^2+56/4!*x^4-1894/6!*x^6+120872/8!*x^8...
[ "1", "-4", "56", "-1894", "120872", "-12371994", "1856495604", "-384431704934", "104893865610544", "-36513587479094898", "15776775677608315084", "-8290816621524021595806", "5204162380787016330112520" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012959.seq
3e3470df426cf3f24980b4f8a2034b08
A012960
Expansion of e.g.f. exp(arctan(x)+log(x+1)).
[ "1", "2", "3", "2", "-11", "-30", "175", "1010", "-6135", "-60670", "374875", "5719650", "-35199875", "-779710750", "4687746375", "145208599250", "-836951243375", "-35435177514750", "191995883837875", "10975003189933250", "-54688433347786875" ]
[ "sign" ]
12
0
2
[ "A002019", "A012960" ]
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2020-05-10T13:42:48
oeisdata/seq/A012/A012960.seq
369484c8c215bad663a91ccb837ced59
A012961
Expansion of e.g.f. sin(arctan(x) + log(x+1)).
[ "0", "2", "-1", "-8", "18", "50", "15", "-4580", "19180", "126890", "-76725", "-26697200", "158352150", "2084909450", "-4854010525", "-695709345500", "5181906327000", "115119442831250", "-487098850343625", "-54146131234247000", "475896724869036250" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-29T18:57:05
oeisdata/seq/A012/A012961.seq
d899c95260de7d573adec6e623dae21c
A012962
Expansion of e.g.f. arcsin(arctan(x) + log(x+1)).
[ "0", "2", "-1", "8", "-30", "366", "-2655", "41652", "-514668", "9980586", "-173007765", "4004890848", "-89829444474", "2436388004358", "-66690826525323", "2084372053480332", "-67131989795427480", "2384198449214048082", "-88073922412026784233" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-29T19:00:12
oeisdata/seq/A012/A012962.seq
eef1a5ce340bcf5d34ec97f647e18694
A012963
Expansion of e.g.f.: arctan(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+756/5!*x^5...
[ "0", "2", "-1", "-16", "42", "756", "-5130", "-82584", "1145256", "15632064", "-405336960", "-4218834816", "206734828608", "1303793191008", "-142600433831856", "-162973525708224", "126855035118725760", "-683674107835961088" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-01-27T18:02:02
oeisdata/seq/A012/A012963.seq
fe137bd2727943cb87826dff40ed02e1
A012964
Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...
[ "1", "0", "-4", "6", "13", "-20", "-550", "1470", "23965", "-91800", "-1736800", "5533550", "261341425", "-1560159900", "-32046389050", "113528073750", "10312454985625", "-82637650862000", "-1992440583581500", "7977656452281750" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2021-05-20T13:47:28
oeisdata/seq/A012/A012964.seq
4a47e022d19e9442cf3db81a3850ccc5
A012965
Expansion of e.g.f. sinh(arctan(x) + log(x+1)).
[ "0", "2", "-1", "8", "-30", "110", "-735", "6260", "-46060", "353690", "-3869325", "47962400", "-535492650", "6256290950", "-94256473675", "1540899327500", "-23184083247000", "363941070067250", "-6966275933345625", "141502264507955000" ]
[ "sign" ]
7
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-29T19:43:41
oeisdata/seq/A012/A012965.seq
19266022d1c608f718a4237f8ebc0024
A012966
Expansion of e.g.f. arcsinh(arctan(x) + log(x+1)).
[ "0", "2", "-1", "-8", "18", "306", "-1905", "-26532", "353388", "4334778", "-110509245", "-1021609008", "50779213254", "272982059658", "-32111535861405", "-11592260316252", "26485822571365080", "-161024492765786958", "-27356021208171990873" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-29T19:43:52
oeisdata/seq/A012/A012966.seq
ece2ec2127b94c7362573a1f9ef9484a
A012967
E.g.f.: tanh(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+500/5!*x^5...
[ "0", "2", "-1", "-16", "42", "500", "-3210", "-31960", "409640", "3197360", "-78190200", "-405352000", "20714298000", "39783504800", "-7213870190800", "15836666456000", "3165414330000000", "-23690623723936000", "-1688397526908144000" ]
[ "sign" ]
11
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2014-03-13T02:54:06
oeisdata/seq/A012/A012967.seq
7bab4f8f9a8ee02d74330a156da6b8ee
A012968
arctanh(arctan(x)+log(x+1))=2*x-1/2!*x^2+16/3!*x^3-54/4!*x^4+876/5!*x^5...
[ "0", "2", "-1", "16", "-54", "876", "-6630", "122904", "-1558536", "33455520", "-601095600", "14941817856", "-346714064928", "9916498091808", "-280431880000272", "9142107223322304", "-303483440198252160", "11161636493381966592" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-11-28T20:51:24
oeisdata/seq/A012/A012968.seq
b1a31042b5763cd8d6f262bbc4f5f28c
A012969
Expansion of e.g.f.: cosh(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...
[ "1", "0", "4", "-6", "19", "-140", "910", "-5250", "39925", "-414360", "4244200", "-42242750", "500292775", "-7036001700", "98944220050", "-1395690728250", "22347132003625", "-399376247582000", "7158271817183500", "-130527261318021750" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-08-04T17:28:32
oeisdata/seq/A012/A012969.seq
f709bb05cbb739860a37ea1a4f14f820
A012970
sec(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+83/4!*x^4-460/5!*x^5...
[ "1", "0", "4", "-6", "83", "-460", "5470", "-53130", "722585", "-9842040", "159135400", "-2720898950", "51918624875", "-1059369023700", "23452521576250", "-553824975590250", "13985888446648625", "-374715350908366000", "10638956635471235500" ]
[ "sign" ]
4
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012970.seq
863cbe532b0debe39f5b034fdb948935
A012971
Expansion of e.g.f.: sech(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+77/4!*x^4-340/5!*x^5...
[ "1", "0", "-4", "6", "77", "-340", "-3670", "34230", "303425", "-5406840", "-35315200", "1225800950", "4445446925", "-374586782700", "9072379550", "147143429091750", "-687446930233375", "-71491380123358000", "767045215539726500" ]
[ "sign" ]
6
0
3
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-12-26T12:54:15
oeisdata/seq/A012/A012971.seq
81338bc9f51dffd48de54dcf27de7aee
A012972
Expansion of e.g.f. log(arctan(x) + exp(x)).
[ "0", "2", "-3", "9", "-42", "293", "-2454", "23807", "-273304", "3629945", "-53958154", "887374939", "-16082430268", "318456745189", "-6826882284078", "157521655230391", "-3895161014873424", "102760306169663089", "-2880160526862435858", "85467391529053927219", "-2677188255115662866532", "88276488832167340241821" ]
[ "sign" ]
13
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2018-07-30T03:35:14
oeisdata/seq/A012/A012972.seq
8c97a22a7a4b47735ea8a0edade54b40
A012973
exp(arctan(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...
[ "1", "2", "4", "5", "-8", "-63", "-26", "1087", "424", "-51399", "4314", "4655147", "1175508", "-614607875", "-586563610", "110785434767", "202456213808", "-26276828035887", "-74723085885198", "7942606908264467", "31720351727685548" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012973.seq
c8af48d82c9ab822f8367a80c6f8b218
A012974
sin(arctan(x)+sin(x))=2*x-11/3!*x^3+177/5!*x^5-5889/7!*x^7...
[ "2", "-11", "177", "-5889", "354825", "-34194349", "4812801541", "-929134537249", "235303563551473", "-75620298761841685", "30055739610273190333", "-14472301025418311845801", "8300739781085990833250473" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012974.seq
fe1a18126ccfdff9418fc548a0e68b0f
A012975
arcsin(arctan(x)+sin(x))=2*x+5/3!*x^3+193/5!*x^5+16319/7!*x^7...
[ "2", "5", "193", "16319", "2867257", "812120619", "345585820669", "204800140817999", "161621142321132497", "163745409197491716115", "207199912831985170715941", "320237187283296947168085591", "593645895442500883916704175801" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2024-07-03T17:28:04
oeisdata/seq/A012/A012975.seq
14c5f08d7baed99e481eee909a09d037
A012976
arctan(arctan(x)+sin(x))=2*x-19/3!*x^3+1033/5!*x^5-139921/7!*x^7...
[ "2", "-19", "1033", "-139921", "35331409", "-14334032601", "8528641989385", "-6996533376858481", "7568756053179558689", "-10439411395932267346985", "17880910414730276822733721", "-37235878792206753318991025025" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-04-05T11:59:52
oeisdata/seq/A012/A012976.seq
0c3121a047d87389d874bccbffd29e11
A012977
cos(arctan(x)+sin(x))=1-4/2!*x^2+40/4!*x^4-934/6!*x^6+42648/8!*x^8...
[ "1", "-4", "40", "-934", "42648", "-3295194", "387494364", "-64310993478", "14291172086544", "-4092687247885554", "1467156197049970084", "-643428519154728257086", "338835140564954843727832", "-210975968109576390124392746" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012977.seq
75fc90f12098208fd71c24fae7b12ba8
A012978
sinh(arctan(x)+sin(x))=2*x+5/3!*x^3-63/5!*x^5+1087/7!*x^7...
[ "2", "5", "-63", "1087", "-51399", "4655147", "-614607875", "110785434767", "-26276828035887", "7942606908264467", "-2980404613442707547", "1359327160139797369495", "-740576016766767185246407", "475017662287177042879384091" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2015-10-20T12:40:43
oeisdata/seq/A012/A012978.seq
d5a060a66a1af5cace47e9464d53b78f
A012979
arcsinh(arctan(x)+sin(x))=2*x-11/3!*x^3+433/5!*x^5-48001/7!*x^7...
[ "2", "-11", "433", "-48001", "10498825", "-3811807661", "2071932466693", "-1574801726490721", "1594618241011192305", "-2074802841008119102485", "3373030497583959151077181", "-6699988532738300297415156713" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012979.seq
da681897b200a36b5784f99c33fdc1fb
A012980
tanh(arctan(x)+sin(x))=2*x-19/3!*x^3+777/5!*x^5-69137/7!*x^7...
[ "2", "-19", "777", "-69137", "10638417", "-2507750617", "839139592969", "-378121773804337", "220718283821767713", "-162004120310722473001", "146031595896623765319193", "-158588958155287462968094529", "204221537438129307495799630193" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012980.seq
5a503ecd8eab4279650201dc5d1af4ba
A012981
arctanh(arctan(x)+sin(x))=2*x+13/3!*x^3+553/5!*x^5+57839/7!*x^7...
[ "2", "13", "553", "57839", "11359153", "3579398359", "1655031037177", "1054978773554159", "886822655405158113", "950463966040325692455", "1265021553451798971633001", "2047001827823001219625900543", "3957634961967849174268972586001" ]
[ "nonn" ]
9
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-11-28T20:53:45
oeisdata/seq/A012/A012981.seq
7d9dc13759163888bd5a15f03945880d
A012982
cosh(arctan(x)+sin(x))=1+4/2!*x^2-8/4!*x^4-26/6!*x^6+424/8!*x^8...
[ "1", "4", "-8", "-26", "424", "4314", "1175508", "-586563610", "202456213808", "-74723085885198", "31720351727685548", "-15704109567909173154", "9057266333254873075336", "-6050602176713431738303574", "4648623295941041403621558724" ]
[ "sign" ]
10
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012982.seq
4f2d4a8b26df9b7c637f3fa06fbd1ec2
A012983
sec(arctan(x)+sin(x))=1+4/2!*x^2+56/4!*x^4+1894/6!*x^6+117288/8!*x^8...
[ "1", "4", "56", "1894", "117288", "11804634", "1728907572", "351044605734", "93615747164592", "31926736599252978", "13490290255530367052", "6942626443208363650846", "4262966686937642406398792", "3085748295626999896052048426" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-02-10T14:10:49
oeisdata/seq/A012/A012983.seq
6b73919b51f67e110f2e26b7cc59e338
A012984
sech(arctan(x)+sin(x))=1-4/2!*x^2+104/4!*x^4-6694/6!*x^6...
[ "1", "-4", "104", "-6694", "804632", "-155439834", "44039778108", "-17203328738054", "8861587113743248", "-5819908969853023218", "4746578915592187681348", "-4706547390563027522258046", "5575973518183361179212558488" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-12-22T12:46:26
oeisdata/seq/A012/A012984.seq
56aa2af2b353b2e60248c30c98b5fae6
A012985
exp(arctan(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+25/5!*x^5...
[ "1", "2", "4", "7", "8", "25", "310", "1985", "4600", "14905", "695450", "9006925", "32209900", "20012525", "9441571750", "202749678625", "1024927826000", "-3158018147375", "439344864507250", "14186901874647125", "96071120715212500" ]
[ "sign" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012985.seq
e4458cb86d72fbafc41baa6545214b43
A012986
sin(arctan(x)+arcsin(x))=2*x-9/3!*x^3+105/5!*x^5-4095/7!*x^7...
[ "2", "-9", "105", "-4095", "235305", "-24792075", "3350672325", "-682570263375", "167108397080625", "-55823919598321875", "21575234944726588125", "-10710021193954531824375", "5999211692915481431015625" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012986.seq
da994e512491c77f518925973c7737c9
A012987
arcsin(arctan(x)+arcsin(x))=2*x+7/3!*x^3+281/5!*x^5+26177/7!*x^7...
[ "2", "7", "281", "26177", "5040953", "1583032653", "746492313069", "491286421003617", "430704974221071057", "485015732780851752021", "682312690169782121262933", "1172627483603034267343876041", "2417509824116710251212901804537" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2025-06-05T17:34:12
oeisdata/seq/A012/A012987.seq
f001005bcf4b3d8962c52969fa4813a2
A012988
arctan(arctan(x)+arcsin(x))=2*x-17/3!*x^3+881/5!*x^5-111919/7!*x^7...
[ "2", "-17", "881", "-111919", "26533505", "-10100912631", "5639610453681", "-4341268802719599", "4406801928941004417", "-5703476313460410444519", "9166802819086051420527153", "-17912428427903720892882856479" ]
[ "sign" ]
7
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A012/A012988.seq
b53b99eff6f17380c1bd27338633f296
A012989
Expansion of e.g.f. cos(arctan(x) + arcsin(x)) = ((1-x^2)^(1/2) - x^2)/(1+x^2)^(1/2), even powers only.
[ "1", "-4", "24", "-630", "27720", "-2353050", "267567300", "-46909412550", "10103827734000", "-3007951147451250", "1049953727680357500", "-474655168783984938750", "244316469166238814345000", "-155979504015802517206406250" ]
[ "sign" ]
18
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2023-07-23T18:23:41
oeisdata/seq/A012/A012989.seq
55174058c90bee971b77c786f6d1ecad
A012990
sinh(arctan(x)+arcsin(x))=2*x+7/3!*x^3+25/5!*x^5+1985/7!*x^7...
[ "2", "7", "25", "1985", "14905", "9006925", "20012525", "202749678625", "-3158018147375", "14186901874647125", "-671237145329976875", "2393939114315833215625", "-224442506249023480234375", "829987864326478226455328125" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-01-13T13:43:05
oeisdata/seq/A012/A012990.seq
5e75c7331fb03e16f1a9861691387c1c
A012991
arcsinh(arctan(x)+arcsin(x))=2*x-9/3!*x^3+361/5!*x^5-37247/7!*x^7...
[ "2", "-9", "361", "-37247", "7669801", "-2611958283", "1332778136517", "-950743937966607", "903562629244729137", "-1103376848629556507859", "1683455518560856213155933", "-3138189120711848323676011959" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2016-09-02T19:17:50
oeisdata/seq/A012/A012991.seq
2a5e32eb92ee342998018111f4263528
A012992
tanh(arctan(x)+arcsin(x))=2*x-17/3!*x^3+625/5!*x^5-50095/7!*x^7...
[ "2", "-17", "625", "-50095", "6958465", "-1481513975", "447942184625", "-182407755827375", "96230887606218625", "-63838323636651718375", "52010513762604762600625", "-51051665095162460001089375", "59420118823159622809910890625" ]
[ "sign" ]
4
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:14
oeisdata/seq/A012/A012992.seq
4b464d8f143fc11cc952de515a089d88
A012993
arctanh(arctan(x)+arcsin(x))=2*x+15/3!*x^3+721/5!*x^5+84049/7!*x^7...
[ "2", "15", "721", "84049", "18372769", "6443708601", "3315504514305", "2351891535306609", "2200048869778398657", "2623946039095984617321", "3886333930223496753553953", "6998154777889427559892675041" ]
[ "nonn" ]
11
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-09-04T10:03:20
oeisdata/seq/A012/A012993.seq
ab29abb9dddf5d725d75370b79a50df4
A012994
cosh(arctan(x)+arcsin(x))=1+4/2!*x^2+8/4!*x^4+310/6!*x^6+4600/8!*x^8...
[ "1", "4", "8", "310", "4600", "695450", "32209900", "9441571750", "1024927826000", "439344864507250", "96071120715212500", "52160549887581638750", "20873814687864446035000", "13171711293701017616406250" ]
[ "nonn" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2021-07-31T20:04:29
oeisdata/seq/A012/A012994.seq
913a26ec8f7dffe9c69ac169c66357e2
A012995
sec(arctan(x)+arcsin(x))=1+4/2!*x^2+72/4!*x^4+3510/6!*x^6+315000/8!*x^8...
[ "1", "4", "72", "3510", "315000", "45898650", "9783981900", "2881566037350", "1118460016674000", "553787154746075250", "340453667922140272500", "254502044013845436558750", "227301229608843762807435000" ]
[ "nonn" ]
4
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2012-02-24T12:51:15
oeisdata/seq/A012/A012995.seq
ab00ec2517217acda17537f7a7e69b0b
A012996
sech(arctan(x)+arcsin(x))=1-4/2!*x^2+88/4!*x^4-5110/6!*x^6...
[ "1", "-4", "88", "-5110", "553160", "-96580250", "24721393700", "-8728515353350", "4063560953062000", "-2412185091080859250", "1778146182982493577500", "-1593628484999043797378750", "1706481881516410825432385000" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2025-02-15T14:56:08
oeisdata/seq/A012/A012996.seq
28ac4d0823c09d67b45e9bbd85dcaf9f
A012997
Expansion of e.g.f.: exp(arctan(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5...
[ "1", "2", "4", "8", "16", "72", "544", "3040", "11008", "64896", "1060224", "10595840", "38065152", "87854080", "9708670976", "170663275520", "276991311872", "-13108265091072", "283899182678016", "9548887177330688", "-9456062364418048" ]
[ "sign" ]
6
0
2
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2019-07-07T10:53:26
oeisdata/seq/A012/A012997.seq
ace95b61c9150aaaf031d66409b68a3b
A012998
sin(arctan(x)+tan(x))=2*x-8/3!*x^3+72/5!*x^5-3936/7!*x^7...
[ "2", "-8", "72", "-3936", "193920", "-21876736", "2967878656", "-589063146496", "149737853943808", "-48291040167362560", "19310260456438693888", "-9310185546185219768320", "5359263862743046978797568" ]
[ "sign" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2017-12-17T13:47:13
oeisdata/seq/A012/A012998.seq
d30c0116de2a4d20d7be311dab34e110
A012999
arcsin(arctan(x)+tan(x))=2*x+8/3!*x^3+328/5!*x^5+31712/7!*x^7...
[ "2", "8", "328", "31712", "6354304", "2085514752", "1027652193280", "707087567055872", "648127370395910144", "763186372089893650432", "1122739235799995992047616", "2017897729638659884887834624", "4350781970507936954099174998016" ]
[ "nonn" ]
6
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2022-01-03T15:00:46
oeisdata/seq/A012/A012999.seq
049fa0fc0a58081badf9bfa21221e86d
A013000
arctan(arctan(x)+tan(x))=2*x-16/3!*x^3+808/5!*x^5-99328/7!*x^7...
[ "2", "-16", "808", "-99328", "22756480", "-8373489408", "4518380796928", "-3361577372366848", "3297920024665948160", "-4125214890387616169984", "6407889739355365222383616", "-12101572905129973895312965632" ]
[ "sign" ]
10
0
1
null
null
Patrick Demichel (patrick.demichel(AT)hp.com)
2013-11-21T12:46:01
oeisdata/seq/A013/A013000.seq
28a0ddf53dd1c33c4c30b5141d6877bd