OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..223
FORMULA
a(n) ~ sqrt(Pi) * cosh(Pi^2/4) * (2*n)! / (2 * n^(3/2)). - Vaclav Kotesovec, Feb 08 2015
EXAMPLE
sinh(arcsin(x)*arcsin(x)) = 2*x^2/2! + 8*x^4/4! + 248*x^6/6! + 11328*x^8/8! + ...
MATHEMATICA
nn = 20; Table[(CoefficientList[Series[Sinh[ArcSin[x]^2], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Feb 08 2015 *)
PROG
(PARI) x='x+O('x^50); v=Vec(serlaplace(sinh(asin(x)*asin(x)))); vector(#v\2, n, v[2*n-1]) \\ G. C. Greubel, Apr 11 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved