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 A355100 #11 Jun 19 2022 08:40:37 %S A355100 1,2,8,60,688,11060,234744,6314196,208825376,8296326612,388694773720, %T A355100 21155834296476,1321107368127408,93662776272057356, %U A355100 7471576015922028248,665418775120254506940,65714704859545872003008,7153378915302503698953860 %N A355100 E.g.f. A(x) satisfies A(x) = 1 + 2 * x * A(exp(x) - 1). %F A355100 a(0) = 1; a(n) = 2 * n * Sum_{k=0..n-1} Stirling2(n-1,k) * a(k). %F A355100 a(n) = 2 * n * A355083(n-1) for n>0. %o A355100 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*i*sum(j=0, i-1, stirling(i-1, j, 2)*v[j+1])); v; %Y A355100 Cf. A048801, A355101. %Y A355100 Cf. A355083. %K A355100 nonn %O A355100 0,2 %A A355100 _Seiichi Manyama_, Jun 19 2022