

A012083


arctanh(arcsin(tan(x)))=x+5/3!*x^3+129/5!*x^5+8133/7!*x^7+949281/9!*x^9...


0



1, 5, 129, 8133, 949281, 177127653, 48290752353, 18102997908453, 8931245615625921, 5609823664317348165, 4370983985597526359745, 4137308650120582099800453, 4676183786000402886175691745
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..12.


FORMULA

a(n) ~ (2*n)! / (arctan(sin(1)))^(2*n+1).  Vaclav Kotesovec, Feb 05 2015


MATHEMATICA

With[{nn=30}, Take[CoefficientList[Series[ArcTanh[ArcSin[Tan[x]]], {x, 0, nn}], x] Range[0, nn1]!, {2, 1, 2}]] (* Harvey P. Dale, Nov 26 2014 *)


CROSSREFS

Sequence in context: A012022 A012176 A012187 * A012226 A281818 A332317
Adjacent sequences: A012080 A012081 A012082 * A012084 A012085 A012086


KEYWORD

nonn


AUTHOR

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


STATUS

approved



