A012598 Expansion 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

Author

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

Keywords

• nonn

Examples

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

Links

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

Programs

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 *)

Extensions

Definition clarified by Harvey P. Dale, May 19 2012