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Expansion of e.g.f.: arctanh(sech(x)*log(x+1))=x-1/2!*x^2+1/3!*x^3-12/4!*x^4+63/5!*x^5...
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%I #6 Feb 16 2016 17:50:41

%S 0,1,-1,1,-12,63,-375,3687,-35056,378613,-4917645,67955413,

%T -1033969596,17404675923,-314140085987,6110547378491,-127722302945280,

%U 2840677016304009,-67146193511101593,1681517639666168201

%N Expansion of e.g.f.: arctanh(sech(x)*log(x+1))=x-1/2!*x^2+1/3!*x^3-12/4!*x^4+63/5!*x^5...

%t With[{nn=20},CoefficientList[Series[ArcTanh[Sech[x]Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Feb 16 2016 *)

%K sign

%O 0,5

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

%E Zero prepended and definition clarified by _Harvey P. Dale_, Feb 16 2016