A012598 Eexpansion of e.g.f. exp(arcsinh(x)*arcsin(x)).

1, 2, 12, 208, 6608, 438912, 38672832, 5956592640, 1035058952448, 288405058560000, 83042522104507392, 36519438671549890560, 15719007594987094364160, 10017433660808198506414080

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..200

Example

1+2/2!*x^2+12/4!*x^4+208/6!*x^6+6608/8!*x^8...

Mathematica

With[{nn=30}, Take[CoefficientList[Series[Exp[ArcSinh[x]ArcSin[x]], {x, 0, nn}], x]Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, May 19 2012 *)

Crossrefs

Sequence in context: A209832 A094157 A306715 * A156489 A129893 A008352

Adjacent sequences: A012595 A012596 A012597 * A012599 A012600 A012601

Keyword

nonn

Author

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

Extensions

Definition clarified by Harvey P. Dale, May 19 2012

Status

approved