A013378 cos(sin(x)-arcsinh(x)) = 1-8064/10!*x^10 + 1419264/12!*x^12 ...

1, 0, 0, 0, 0, -8064, 1419264, -262662400, 59455492096, -16726941245440, 5796860719775744, -2439524053684551680, 1228699611612771516416, -730845840019971307929600, 507327256430827248463380480

Offset

0,6

Links

Table of n, a(n) for n=0..14.

Formula

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

Mathematica

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

Crossrefs

Sequence in context: A159224 A234446 A318104 * A013458 A172775 A172843

Adjacent sequences: A013375 A013376 A013377 * A013379 A013380 A013381

Keyword

sign

Author

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

Status

approved