%I #7 Dec 21 2014 16:36:38
%S 1,2,2,12,80,512,4832,53872,654320,9264032,147228512,2559080832,
%T 48910122560,1017566317952,22822627908992,550081215323392,
%U 14178080204748800,388900281882678272,11314716065658294272
%N arcsin(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+80/5!*x^5...
%t With[{nn=30},Rest[CoefficientList[Series[ArcSin[Exp[x]-Cos[x]],{x,0,nn}],x] Range[0,nn]!]] (* _Harvey P. Dale_, Dec 21 2014 *)
%K nonn
%O 1,2
%A Patrick Demichel (patrick.demichel(AT)hp.com)