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 A355133 #9 Jun 20 2022 08:36:47 %S A355133 1,2,14,292,16836,2517888,927979616,811623678304,1639230314891936, %T A355133 7494183556478948928,76401967141928846136512, %U A355133 1716972732272402536841957760,84279193103775042893631925450624,8968818994749615710061662692132983296 %N A355133 E.g.f. A(x) satisfies A(x) = 1 + 2 * log(1+x) * A(2 * log(1+x)). %F A355133 E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + 2*x*A(2*x). %F A355133 a(0) = 1; a(n) = Sum_{k=1..n} k * 2^k * Stirling1(n,k) * a(k-1). %o A355133 (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*stirling(i, j, 1)*v[j])); v; %Y A355133 Cf. A354728, A355120, A355124. %K A355133 nonn %O A355133 0,2 %A A355133 _Seiichi Manyama_, Jun 20 2022