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Expansion of e.g.f.: arcsin(arcsinh(x)*log(x+1)).
1

%I #11 Jul 17 2015 18:26:15

%S 0,0,2,-3,4,-20,278,-2079,12024,-102024,1526202,-21144915,254194620,

%T -3422013660,60148579710,-1146224919735,21194144971440,

%U -407432463085200,8837992445168370,-209438776595814435,5103026808528257460,-128021892811081933860

%N Expansion of e.g.f.: arcsin(arcsinh(x)*log(x+1)).

%e arcsin(arcsinh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 4/4!*x^4 - 20/5!*x^5 + ...

%t With[{nn=20},CoefficientList[Series[ArcSin[ArcSinh[x]Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jul 17 2015 *)

%K sign

%O 0,3

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

%E First two terms inserted by _Harvey P. Dale_, Jul 17 2015