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A013094 tan(arcsinh(x)+tan(x))=2*x+17/3!*x^3+617/5!*x^5+48303/7!*x^7... 1
2, 17, 617, 48303, 6522881, 1347329463, 394859190065, 155788454490063, 79615692221453953, 51158770289333605479, 40370803594653993695153, 38380940325618664357898303, 43267817873570429233783437313 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

FORMULA

Limit n->infinity (a(n)/(2*n+1)!)^(1/(2*n+1)) = 1.37072091851392158... - Vaclav Kotesovec, Nov 01 2013

MATHEMATICA

With[{nn=30}, Take[CoefficientList[Series[Tan[ArcSinh[x]+Tan[x]], {x, 0, nn}], x] Range[ 0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, May 01 2013 *)

CROSSREFS

Sequence in context: A007759 A062710 A012939 * A013063 A012992 A054867

Adjacent sequences:  A013091 A013092 A013093 * A013095 A013096 A013097

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified July 23 22:18 EDT 2019. Contains 325269 sequences. (Running on oeis4.)