login
Expansion of e.g.f.: exp(cos(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4-15/5!*x^5...
0

%I #6 Jul 21 2024 15:09:51

%S 1,1,1,-1,-7,-15,25,359,1297,3713,785,347151,3237577,62839153,

%T 476552297,10196506423,93536269473,2397571040897,25410713978785,

%U 714196911010335,8498142387238425,263318643848985457

%N Expansion of e.g.f.: exp(cos(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4-15/5!*x^5...

%t With[{nn=30},CoefficientList[Series[Exp[Cos[x]ArcSin[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jul 21 2024 *)

%K sign

%O 0,5

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

%E Definition clarified by _Harvey P. Dale_, Jul 21 2024