%I #6 May 06 2021 17:27:52
%S 1,0,1,-1,9,-25,235,-1125,12145,-83305,1037475,-9280225,132009625,
%T -1456021125,23378099875,-306453818125,5493040502625,-83388492864625,
%U 1652566180607875,-28500730684349625,619275939126495625
%N exp(arcsin(x)-log(x+1))=1+1/2!*x^2-1/3!*x^3+9/4!*x^4-25/5!*x^5...
%t With[{nn=20},CoefficientList[Series[Exp[ArcSin[x]-Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 06 2021 *)
%K sign
%O 0,5
%A Patrick Demichel (patrick.demichel(AT)hp.com)