%I #9 Nov 01 2013 05:35:33
%S 1,2,12,160,2576,95488,668096,402731264,-50491782912,14988492926976,
%T -4720247498150912,1909488749227393024,-925515319787778355200,
%U 534630384211887797927936,-362170991481315590982090752
%N exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8...
%F a(n) ~ (-1)^(n+1) * sin(1) * 2^(2*n) * n^(2*n-1) / exp(2*n + sin(1)*Pi/2). - _Vaclav Kotesovec_, Nov 01 2013
%t With[{nn=30},Take[CoefficientList[Series[Exp[ArcSinh[x]Sinh[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, May 05 2013 *)
%K sign
%O 0,2
%A Patrick Demichel (patrick.demichel(AT)hp.com)