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.

A362697 Expansion of e.g.f. Product_{k>0} (1 - x^(3*k-1))^(-1/(3*k-1)).

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%I A362697 #43 Jul 07 2023 14:57:00
%S A362697 1,0,1,0,9,24,225,504,16065,27216,1555281,6123600,159249321,779262120,
%T A362697 31816914129,240363179784,8207359913025,66059979227424,
%U A362697 2145292484152545,19782668403572256,1015331126023222281,7961977144683689400,454920488042137314561
%N A362697 Expansion of e.g.f. Product_{k>0} (1 - x^(3*k-1))^(-1/(3*k-1)).
%H A362697 Seiichi Manyama, <a href="/A362697/b362697.txt">Table of n, a(n) for n = 0..449</a>
%F A362697 a(0) = 1; a(n) = (n-1)! * Sum_{k=1..n} A001822(k) * a(n-k)/(n-k)!.
%o A362697 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, (1-x^(3*k-1))^(1/(3*k-1)))))
%Y A362697 Cf. A001822, A035386, A206303, A262946, A362696.
%K A362697 nonn
%O A362697 0,5
%A A362697 _Seiichi Manyama_, Jul 07 2023