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A012639 cos(arcsinh(x)*cos(x))=1-1/2!*x^2+17/4!*x^4-385/6!*x^6+15073/8!*x^8... 0
1, -1, 17, -385, 15073, -1010945, 101590513, -14396384769, 2765830859457, -694784293696513, 221386930443511505, -87298037019243856513, 41742102489497599699873, -23796035609379191857799425 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..13.

FORMULA

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

MATHEMATICA

Table[n!*SeriesCoefficient[Cos[ArcSinh[x]*Cos[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)

CROSSREFS

Sequence in context: A132541 A159244 A318043 * A327732 A012200 A007925

Adjacent sequences:  A012636 A012637 A012638 * A012640 A012641 A012642

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified October 23 05:56 EDT 2019. Contains 328335 sequences. (Running on oeis4.)