A012635 sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9...

1, -5, 65, -2221, 119873, -9786229, 1171166529, -194493711517, 42939774236801, -12195226930738277, 4336542878659585857, -1888009822588324263693, 987916087242245073188545

Offset

0,2

Links

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

Formula

a(n) ~ (-1)^n * cosh(Pi*cosh(1)/2) * cosh(1) * 2^(2*n+1) * n^(2*n) / exp(2*n). - Vaclav Kotesovec, Nov 01 2013

Mathematica

Table[n!*SeriesCoefficient[Sin[ArcSinh[x]*Cos[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)

Crossrefs

Sequence in context: A300489 A214348 A195196 * A196975 A247540 A171800

Adjacent sequences: A012632 A012633 A012634 * A012636 A012637 A012638

Keyword

sign

Author

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

Status

approved