A012585 sin(arcsinh(x)*exp(x)) = x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5...

1, 2, 1, -12, -75, -290, -779, -504, 21353, 309658, 2312649, 4942652, -30773795, 551161910, 5842489277, -202099628912, -2781070598703, 37094805544626, 667109649353745, -13372667222408444, -244753093572037115, 5558587672503819534, 110344062209219143685

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..100

Formula

a(n) ~ 2*(cos(Pi*sin(1)/2)*cosh(Pi*cos(1)/2)*sin(n*Pi/2-1) - cos(n*Pi/2-1)*sin(Pi*sin(1)/2)*sinh(Pi*cos(1)/2)) * n^(n-1)/exp(n). - Vaclav Kotesovec, Oct 30 2013

Mathematica

With[{nn=30}, Rest[CoefficientList[Series[Sin[ArcSinh[x]Exp[x]], {x, 0, nn}], x]Range[0, nn]!]] (* Harvey P. Dale, Jan 29 2013 *)

Crossrefs

Sequence in context: A013159 A012590 A012291 * A053566 A009483 A181867

Adjacent sequences: A012582 A012583 A012584 * A012586 A012587 A012588

Keyword

sign

Author

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

Status

approved