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 A354728 #13 Jun 04 2022 09:42:26 %S A354728 1,1,1,-1,-6,39,97,-4481,33912,676236,-26413226,238849819,14313503696, %T A354728 -755420105545,10108190752293,933595772081187,-74703766573019512, %U A354728 1828010869875477868,148132864489851652128,-19789393233722946227592,910780967051245532791008 %N A354728 E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(log(1+x)). %F A354728 E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + x*A(x). %F A354728 a(0) = 1; a(n) = Sum_{k=1..n} k * Stirling1(n,k) * a(k-1). %o A354728 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*stirling(i, j, 1)*v[j])); v; %Y A354728 Cf. A135750, A213357, A354729. %K A354728 sign %O A354728 0,5 %A A354728 _Seiichi Manyama_, Jun 04 2022