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 A355216 #14 Jun 25 2022 07:37:45 %S A355216 1,1,3,19,239,5675,249983,20404811,3112376543,898693573515, %T A355216 498042936169343,536255530818837835,1132713758105613132319, %U A355216 4726517343060928547800331,39145565125819857567685815231,645447728030234045716450604490955 %N A355216 E.g.f. A(x) satisfies A'(x) = 1 + A(2 * (exp(x) - 1))/2. %H A355216 Seiichi Manyama, <a href="/A355216/b355216.txt">Table of n, a(n) for n = 1..82</a> %F A355216 a(1) = 1; a(n+1) = Sum_{k=1..n} 2^(k-1) * Stirling2(n,k) * a(k). %o A355216 (PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i, 2^(j-1)*stirling(i, j, 2)*v[j])); v; %Y A355216 Cf. A355122, A355210. %K A355216 nonn %O A355216 1,3 %A A355216 _Seiichi Manyama_, Jun 24 2022