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 A361493 #11 Mar 14 2023 12:58:47 %S A361493 1,1,2,11,39,172,1163,6547,41772,335139,2486215,20078610,186139957, %T A361493 1676540257,16077206122,168739976555,1763716943267,19358116589964, %U A361493 226362412711759,2669223655597955,32748447519013132,421204995451111971,5496921281576148363 %N A361493 Expansion of e.g.f. exp(exp(x) - 1 + x^3). %F A361493 a(0) = a(1) = 1, a(2) = 2; a(n) = 6 * binomial(n-1,2) * a(n-3) + Sum_{k=1..n} binomial(n-1,k-1) * a(n-k). %o A361493 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(exp(x)-1+x^3))) %Y A361493 Cf. A355337, A361489. %K A361493 nonn,easy %O A361493 0,3 %A A361493 _Seiichi Manyama_, Mar 14 2023