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Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...
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%I #6 Jul 02 2020 13:40:21

%S 1,2,4,8,16,42,184,1192,8320,63954,529824,5076392,52633728,615675322,

%T 7595502464,104080146632,1487529832448,23400806440098,380497987834368,

%U 6758267272643528,123182327672588288

%N Expansion of e.g.f.: exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...

%t With[{nn=20},CoefficientList[Series[Exp[ArcSin[x]+Sin[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jul 02 2020 *)

%K nonn

%O 0,2

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

%E Definition clarified by _Harvey P. Dale_, Jul 02 2020