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 A384356 #12 May 27 2025 10:33:09
%S A384356 1,1,19,1147,145606,31784062,10617130378,5033441934298,
%T A384356 3213448742033479,2657684269018334807,2763967539211567981613,
%U A384356 3530274805575983022456005,5432490565296371673408076892,9912854399723224290769677025316,21163615551469069985356131546443588
%N A384356 Expansion of Product_{k>=1} 1/(1 - k*(k+1)/2 * x)^((1/18) * (2/3)^k).
%F A384356 G.f.: exp((1/4) * Sum_{k>=1} A384362(2,k) * x^k/k).
%o A384356 (PARI) a384362(n, k) = sum(i=0, k*n, 2^i*sum(j=0, i, (-1)^j*binomial(i, j)*binomial(i-j, n)^k));
%o A384356 my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, a384362(2, k)*x^k/k)/4))
%Y A384356 Cf. A384362.
%K A384356 nonn
%O A384356 0,3
%A A384356 _Seiichi Manyama_, May 27 2025