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 A384344 #11 May 27 2025 10:34:24
%S A384344 1,1,-2,10,-77,787,-9972,150552,-2637729,52615903,-1177590290,
%T A384344 29228602546,-796945212035,23681656958269,-761803800466856,
%U A384344 26376749702235900,-978091742247376932,38674335439691203644,-1624351949069462807480,72221688529265896447384
%N A384344 Expansion of Product_{k>=1} (1 + k*x)^((1/6) * (2/3)^k).
%F A384344 G.f. A(x) satisfies A(x) = (1+x)^(1/3) * A(x/(1+x))^(2/3).
%F A384344 G.f.: exp(Sum_{k>=1} (-1)^(k-1) * A050351(k) * x^k/k).
%F A384344 G.f.: 1/B(-x), where B(x) is the g.f. of A090351.
%o A384344 (PARI) my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, (-1)^(k-1)*sum(j=0, k, 2^(j-1)*j!*stirling(k, j, 2))*x^k/k)))
%Y A384344 Cf. A381890, A384343, A384345.
%Y A384344 Cf. A050351, A090351.
%K A384344 sign
%O A384344 0,3
%A A384344 _Seiichi Manyama_, May 26 2025