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 A355236 #15 Jun 25 2022 10:00:50
%S A355236 0,1,0,2,3,36,205,3982,59143,2256856,77934585,6150325562,472040621283,
%T A355236 78339827803476,13070683708717765,4582625922523426342,
%U A355236 1640266593049835803423,1214338374811373816693296,924005045104558757129996145
%N A355236 E.g.f. A(x) satisfies A'(x) = 1 + (exp(x) - 1) * A(2*x)/2.
%F A355236 a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^(k-1) * binomial(n,k) * a(k).
%o A355236 (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-1)*binomial(i, j)*v[j])); concat(0, v);
%Y A355236 Cf. A087650, A355232.
%K A355236 nonn
%O A355236 0,4
%A A355236 _Seiichi Manyama_, Jun 25 2022