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 A384410 #11 May 28 2025 09:18:59 %S A384410 1,541,51270122,76788748015146,669464791102102157065, %T A384410 21339839181227035325658510557,1900606380926543510490023912037413624, %U A384410 396633271551441702901523258702004560154006264,171270169295129060094464591065561066259566766138488074 %N A384410 Expansion of Product_{k>=1} 1/(1 - k^5 * x)^((1/2)^(k+1)). %F A384410 G.f.: exp(Sum_{k>=1} A000670(5*k) * x^k/k). %o A384410 (PARI) a000670(n) = sum(k=0, n, k!*stirling(n, k, 2)); %o A384410 my(N=10, x='x+O('x^N)); Vec(exp(sum(k=1, N, a000670(5*k)*x^k/k))) %Y A384410 Cf. A084784, A384408. %Y A384410 Cf. A000670. %K A384410 nonn %O A384410 0,2 %A A384410 _Seiichi Manyama_, May 28 2025