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.
%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