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 A352841 #12 Apr 05 2022 21:20:46 %S A352841 1,1,7,64,851,13906,277972,6466650,172651643,5186830537,173327806752, %T A352841 6373233407498,255743444526584,11119651415719744,520752884139087852, %U A352841 26132341317365562754,1398900109763305183707,79569524691656775423766 %N A352841 Expansion of e.g.f. 1/(1 - Sum_{k>=1} sigma_k(k) * x^k/k!). %F A352841 a(0) = 1; a(n) = Sum_{k=1..n} sigma_k(k) * binomial(n,k) * a(n-k). %o A352841 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=1, N, sigma(k, k)*x^k/k!)))) %o A352841 (PARI) a(n) = if(n==0, 1, sum(k=1, n, sigma(k, k)*binomial(n, k)*a(n-k))); %Y A352841 Cf. A340903, A340904, A352693. %Y A352841 Cf. A023887, A352839, A352843. %K A352841 nonn %O A352841 0,3 %A A352841 _Seiichi Manyama_, Apr 05 2022