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A009637 Expansion of e.g.f.: tan(log(1+sin(x))). 1
0, 1, -1, 3, -14, 71, -466, 3553, -30904, 303821, -3318856, 39897503, -523448144, 7440769571, -113918718096, 1868810091853, -32702430873984, 608043493983321, -11970695844343936, 248764988012724603, -5441743349749959424 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

FORMULA

a(n) ~ (-1)^(n+1) * n! / (sqrt(2*exp(Pi/2)-1) * (arcsin(1-exp(-Pi/2)))^(n+1)). - Vaclav Kotesovec, Feb 02 2015

MATHEMATICA

With[{nn=20}, CoefficientList[Series[Tan[Log[1+Sin[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 09 2014 *)

CROSSREFS

Sequence in context: A137177 A158196 A191649 * A098648 A026295 A118650

Adjacent sequences:  A009634 A009635 A009636 * A009638 A009639 A009640

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

Definition clarified and prior Mathematica program replaced by Harvey P. Dale, Dec 09 2014

STATUS

approved

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Last modified February 20 14:12 EST 2020. Contains 332078 sequences. (Running on oeis4.)