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 A354574 #12 Jun 05 2022 00:44:01 %S A354574 1,1,2,3,-8,-65,366,4284,-71392,-377919,28218760,-249587877, %T A354574 -14356069056,587285561746,153563287892,-954498079774950, %U A354574 39921820513516256,533333406684245239,-158979463609003391970,8008135971419079188618,190727236066813163686860 %N A354574 E.g.f. A(x) satisfies A(x) = 1 + x * A(1 - exp(-x)). %F A354574 a(0) = 1; a(n) = n * Sum_{k=0..n-1} (-1)^(n-k-1) * Stirling2(n-1,k) * a(k). %F A354574 a(n) = n * A353177(n-1) for n>0. %o A354574 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*sum(j=0, i-1, (-1)^(i-j-1)*stirling(i-1, j, 2)*v[j+1])); v; %Y A354574 Cf. A048801, A353177, A354729, A354730. %K A354574 sign %O A354574 0,3 %A A354574 _Seiichi Manyama_, Jun 04 2022