%I #10 Dec 10 2024 05:38:39
%S 1,2,12,208,6608,438912,38672832,5956592640,1035058952448,
%T 288405058560000,83042522104507392,36519438671549890560,
%U 15719007594987094364160,10017433660808198506414080
%N Eexpansion of e.g.f. exp(arcsinh(x)*arcsin(x)).
%H Harvey P. Dale, <a href="/A012598/b012598.txt">Table of n, a(n) for n = 0..200</a>
%e 1+2/2!*x^2+12/4!*x^4+208/6!*x^6+6608/8!*x^8...
%t 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 *)
%K nonn
%O 0,2
%A Patrick Demichel (patrick.demichel(AT)hp.com)
%E Definition clarified by _Harvey P. Dale_, May 19 2012