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Expansion of e.g.f.: cos(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-100/5!*x^5...
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%I #6 Mar 03 2024 12:12:34

%S 1,0,-1,-6,-27,-100,-285,70,10857,138456,1345575,12246322,104657421,

%T 905107892,7506129995,67825026750,599458508113,7155160301616,

%U 87359515770831,1675741434252522,28468606356977333

%N Expansion of e.g.f.: cos(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-100/5!*x^5...

%t With[{nn=20},CoefficientList[Series[Cos[ArcSin[x]Exp[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Mar 03 2024 *)

%K sign

%O 0,4

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

%E Definition clarified by _Harvey P. Dale_, Mar 03 2024