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 A355232 #15 Jun 25 2022 10:00:42
%S A355232 0,1,0,4,6,136,810,28204,458766,30584656,1191878610,162323643604,
%T A355232 14307180186486,4073323890279736,788119370902131450,
%U A355232 472616432593062958204,197219048399199774543966,249355424516977575240738976
%N A355232 E.g.f. A(x) satisfies A'(x) = 1 + (exp(x) - 1) * A(2*x).
%F A355232 a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^k * binomial(n,k) * a(k).
%o A355232 (PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i-1, 2^j*binomial(i, j)*v[j])); concat(0, v);
%Y A355232 Cf. A087650, A352860, A355233.
%K A355232 nonn
%O A355232 0,4
%A A355232 _Seiichi Manyama_, Jun 25 2022