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 A355120 #8 Jun 20 2022 08:36:10 %S A355120 1,1,3,26,654,45084,7934924,3381663872,3365978050576,7632454575648720, %T A355120 38732162420625498608,434139952882119137261024, %U A355120 10640704036253473615712677216,565765176687479152385624223741568,64834956096893473256448986077914291328 %N A355120 E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(2 * log(1+x)). %F A355120 E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + x*A(2*x). %F A355120 a(0) = 1; a(n) = Sum_{k=1..n} k * 2^(k-1) * Stirling1(n,k) * a(k-1). %o A355120 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*2^(j-1)*stirling(i, j, 1)*v[j])); v; %Y A355120 Cf. A354728, A355084, A355096, A355133. %K A355120 nonn %O A355120 0,3 %A A355120 _Seiichi Manyama_, Jun 20 2022