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 A384407 #13 May 29 2025 07:46:08
%S A384407 1,1,13,533,46091,6868835,1568192799,508404298647,222017327728032,
%T A384407 125619393196237384,89384894988513559768,78116626967146591776664,
%U A384407 82253687701869747574913672,102704417752375981385023218632,150045690407598038822943364871144,253563964213823585133287012876023080
%N A384407 Expansion of Product_{k>=1} 1/(1 - k^2 * x)^((1/3) * (1/2)^(k+1)).
%F A384407 G.f.: exp((1/3) * Sum_{k>=1} A000670(2*k) * x^k/k).
%F A384407 a(n) ~ sqrt(Pi) * 2^(2*n) * n^(2*n - 1/2) / (3 * exp(2*n) * log(2)^(2*n+1)). - _Vaclav Kotesovec_, May 29 2025
%o A384407 (PARI) a000670(n) = sum(k=0, n, k!*stirling(n, k, 2));
%o A384407 my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, a000670(2*k)*x^k/k)/3))
%Y A384407 Cf. A000670, A227044, A384409.
%K A384407 nonn
%O A384407 0,3
%A A384407 _Seiichi Manyama_, May 28 2025