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A013035 tan(sinh(x)+arcsin(x))=2*x+18/3!*x^3+682/5!*x^5+55762/7!*x^7... 1
2, 18, 682, 55762, 7861330, 1695960882, 519152347066, 213968420883442, 114231299480266658, 76681416778961132498, 63215479683812222209738, 62785613460405843207533202, 73943247063260517632498040818 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

FORMULA

a(n) ~ 2 * (2*n+1)! / ((1/sqrt(1-r^2) + cosh(r)) * r^(2*n+2)), where r = 0.7137663392321306757068472447735817625797877657851167410885... is the root of the equation sinh(r) + arcsin(r) = Pi/2. - Vaclav Kotesovec, Feb 07 2015

MATHEMATICA

nn = 20; Table[(CoefficientList[Series[Tan[ArcSin[x] + Sinh[x]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 07 2015 *)

CROSSREFS

Sequence in context: A071352 A258384 A296376 * A132520 A297707 A131631

Adjacent sequences:  A013032 A013033 A013034 * A013036 A013037 A013038

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified May 22 14:32 EDT 2019. Contains 323480 sequences. (Running on oeis4.)