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 A354729 #19 Jun 04 2022 09:42:20 %S A354729 1,1,2,3,-4,-30,234,679,-35848,305208,6762360,-290545486,2866197828, %T A354729 186075548048,-10575881477630,151622861284395,14937532353298992, %U A354729 -1269964031741331704,32904195657758601624,2814524425307181390432,-395787864674458924551840 %N A354729 E.g.f. A(x) satisfies A(x) = 1 + x * A(log(1+x)). %F A354729 a(0) = 1; a(n) = n * Sum_{k=0..n-1} Stirling1(n-1,k) * a(k). %F A354729 a(n) = n * A354728(n-1) for n>0. %o A354729 (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, stirling(i-1, j, 1)*v[j+1])); v; %Y A354729 Cf. A048801, A354728, A354730. %K A354729 sign %O A354729 0,3 %A A354729 _Seiichi Manyama_, Jun 04 2022