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A013168 exp(arctanh(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+97/5!*x^5... 0

%I #9 Oct 24 2013 17:01:32

%S 1,2,4,9,24,97,534,3647,27272,232345,2170874,22882827,260563908,

%T 3272680621,43811275382,637916495327,9816624434928,162606798592913,

%U 2827858695802930,52505736635681875,1018209224687676028

%N exp(arctanh(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+97/5!*x^5...

%F a(n) ~ 2*exp(sin(1)) * n^n / exp(n). - _Vaclav Kotesovec_, Oct 24 2013

%t With[{nn=30},CoefficientList[Series[Exp[ArcTanh[x]+Sin[x]],{x,0,nn}],x]Range[0,nn]!] (* _Harvey P. Dale_, Oct 15 2012 *)

%K nonn

%O 0,2

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

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Last modified August 16 21:21 EDT 2024. Contains 375191 sequences. (Running on oeis4.)