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A012035 sin(sin(arcsinh(x))) = x-3/3!*x^3+41/5!*x^5-1291/7!*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

Table of n, a(n) for n=0..12.

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

Sequence in context: A012162 A012225 A012129 * A012016 A207993 A187540

Adjacent sequences:  A012032 A012033 A012034 * A012036 A012037 A012038

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified September 18 09:05 EDT 2021. Contains 347518 sequences. (Running on oeis4.)