cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A123333 a(n) = 3^n*(Gamma(n+1/3)/Gamma(1/3) + (n-1)!).

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%I A123333 #10 Oct 12 2017 10:52:03
%S A123333 4,13,82,766,9472,145720,2681200,57411760,1402226560,38468725120,
%T A123333 1171102777600,39174663404800,1428249121868800,56366281606835200,
%U A123333 2393966461645158400,108871544042829568000
%N A123333 a(n) = 3^n*(Gamma(n+1/3)/Gamma(1/3) + (n-1)!).
%C A123333 The EXP-transform of a(n) is equal to A121630(n).
%H A123333 G. C. Greubel, <a href="/A123333/b123333.txt">Table of n, a(n) for n = 1..380</a>
%F A123333 E.g.f.: (1-3*x)^(-1/3) - 1 - log(1-3*x).
%t A123333 With[{nmax = 50}, CoefficientList[Series[(1 - 3*x)^(-1/3) - 1 - Log[1 - 3*x], {x, 0, nmax}], x] Range[0, nmax]!] (* _G. C. Greubel_, Oct 12 2017 *)
%o A123333 (PARI) x='x+O('x^30); Vec(serlaplace((1-3*x)^(-1/3) - 1 - log(1-3*x))) \\ _G. C. Greubel_, Oct 12 2017
%Y A123333 Cf. A121630.
%K A123333 nonn
%O A123333 1,1
%A A123333 _Karol A. Penson_, Sep 26 2006