A012596 exp(arcsinh(x)*sin(x))=1+2/2!*x^2+4/4!*x^4-40/6!*x^6-688/8!*x^8...

1, 2, 4, -40, -688, 23968, -1134784, 188393088, -40676275968, 10688526352896, -3523678949366784, 1431294964438824960, -701609173130329731072, 408385401482058726547456

Offset

0,2

Links

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

Formula

a(n) ~ (-1)^(n+1) * sinh(1) * 2^(2*n) * n^(2*n-1) / exp(2*n+Pi*sinh(1)/2). - Vaclav Kotesovec, Oct 31 2013

Mathematica

Table[n!*SeriesCoefficient[Exp[ArcSinh[x]*Sin[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Oct 31 2013 *)

Crossrefs

Sequence in context: A187468 A238719 A158213 * A292700 A012676 A184245

Adjacent sequences: A012593 A012594 A012595 * A012597 A012598 A012599

Keyword

sign

Author

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

Status

approved