cp's OEIS Frontend

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.

A355120 E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(2 * log(1+x)).

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%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