

A012035


sin(sin(arcsinh(x))) = x3/3!*x^3+41/5!*x^51291/7!*x^7+73169/9!*x^9...


0



1, 3, 41, 1291, 73169, 6551251, 852920953, 152425617371, 35839758063521, 10733139641944739, 3990221478883366601, 1803635523024068325803, 974372554797510153337201
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


LINKS



FORMULA

a(n) ~ (1)^n * 2^(2*n+1) * n^(2*n) * cosh(sinh(Pi/2)) * cosh(Pi/2) / exp(2*n).  Vaclav Kotesovec, Oct 30 2013


MATHEMATICA

Table[n!*SeriesCoefficient[Sin[Sin[ArcSinh[x]]], {x, 0, n}], {n, 1, 40, 2}] (* Vaclav Kotesovec, Oct 30 2013 *)


CROSSREFS



KEYWORD

sign


AUTHOR

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


STATUS

approved



