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.

A362205 Expansion of e.g.f. exp(x/(1-3*x)^(1/3)).

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%I A362205 #15 Apr 11 2023 11:33:24
%S A362205 1,1,3,19,185,2401,38731,745123,16630769,422157025,12005107091,
%T A362205 377957000851,13048046175913,490052749100929,19890724260375515,
%U A362205 867582126490694371,40467070835396193761,2009901604798183428673,105901641663222888913699
%N A362205 Expansion of e.g.f. exp(x/(1-3*x)^(1/3)).
%F A362205 a(n) = n! * Sum_{k=0..n} (-3)^k * binomial(-(n-k)/3,k)/(n-k)! = n! * Sum_{k=0..n} 3^(n-k) * binomial(n-2*k/3-1,n-k)/k!.
%o A362205 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x/(1-3*x)^(1/3))))
%Y A362205 Cf. A321837, A362164, A362188.
%K A362205 nonn,easy
%O A362205 0,3
%A A362205 _Seiichi Manyama_, Apr 11 2023