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 A365030 #15 Aug 19 2023 06:28:15
%S A365030 1,1,7,55,709,11761,243181,6054763,175803097,5847578785,219175994521,
%T A365030 9144024668131,420340277237365,21111584238219697,1150333949592549541,
%U A365030 67589878866533749531,4260172601206280708401,286737199114729515029569
%N A365030 E.g.f. satisfies A(x) = exp(x * (1 + x * A(x))^3).
%H A365030 Michael De Vlieger, <a href="/A365030/b365030.txt">Table of n, a(n) for n = 0..363</a>
%F A365030 a(n) = n! * Sum_{k=0..n} (n-k+1)^(k-1) * binomial(3*k,n-k)/k!.
%t A365030 Array[#!*Sum[ (# - k + 1)^(k - 1)*Binomial[3 k, # - k]/k!, {k, 0, #}] &, 18, 0] (* _Michael De Vlieger_, Aug 18 2023 *)
%o A365030 (PARI) a(n) = n!*sum(k=0, n, (n-k+1)^(k-1)*binomial(3*k, n-k)/k!);
%Y A365030 Cf. A125500, A363744.
%Y A365030 Cf. A364938.
%K A365030 nonn
%O A365030 0,3
%A A365030 _Seiichi Manyama_, Aug 17 2023