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 A384412 #13 May 28 2025 09:19:06
%S A384412 1,1,37,4477,1139503,498101431,332955009307,315774077663395,
%T A384412 403232260150593946,667010006578379121074,1387375789650073950228650,
%U A384412 3544016332332206162590402778,10907098996548018595779254922854,39804369748279182675138824291484662,169958609977149735126105997027662792638
%N A384412 Expansion of Product_{k>=1} 1/(1 - k^2 * x)^((1/30) * (2/3)^k).
%F A384412 G.f.: exp((1/10) * Sum_{k>=1} b(2*k) * x^k/k), where b(n) = Sum_{k=0..n} 2^k * k! * Stirling2(n,k).
%o A384412 (PARI) b(n) = sum(k=0, n, 2^k*k!*stirling(n, k, 2));
%o A384412 my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, b(2*k)*x^k/k)/10))
%Y A384412 Cf. A004123, A050351, A247082, A384414.
%K A384412 nonn
%O A384412 0,3
%A A384412 _Seiichi Manyama_, May 28 2025