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A013155 Expansion of e.g.f.: exp(arctanh(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+90/5!*x^5... 0

%I #7 Oct 05 2021 15:50:59

%S 1,2,3,6,21,90,495,3150,23625,198450,1885275,19646550,225935325,

%T 2809456650,37927664775,547844046750,8491582724625,139700231921250,

%U 2444754058621875,45123174910563750,879901910755993125

%N Expansion of e.g.f.: exp(arctanh(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+90/5!*x^5...

%t With[{nn=20},CoefficientList[Series[Exp[ArcTanh[x]+Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Oct 05 2021 *)

%Y a(2n+1) = 2 * A079484(n+1).

%K nonn

%O 0,2

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

%E Definition clarified by _Harvey P. Dale_, Oct 05 2021

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Last modified September 24 22:14 EDT 2023. Contains 365582 sequences. (Running on oeis4.)