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Expansion of e.g.f.: arcsin(arcsin(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+471/5!*x^5...
0

%I #6 Nov 21 2014 18:58:17

%S 0,2,-1,11,-30,471,-3015,58032,-643188,14520933,-236345445,6153059178,

%T -133142041494,3956037592815,-106753027544163,3588266331746712,

%U -115669410756336360,4361169482903542617,-162972793825872488073

%N Expansion of e.g.f.: arcsin(arcsin(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+471/5!*x^5...

%t With[{nn=20},CoefficientList[Series[ArcSin[ArcSin[x]+Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Nov 21 2014 *)

%K sign

%O 0,2

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

%E Definition clarified and zero prepended by _Harvey P. Dale_, Nov 21 2014