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 A346186 #6 Jul 10 2021 03:04:33
%S A346186 1,1,2,12,132,2664,86328,4257504,302249232,29749088160,3929593244256,
%T A346186 678729769735680,149951093054923584,41593439995316826624,
%U A346186 14254785976456164378240,5952723682598023085466624,2992204352832467277009072384,1791038631707465961597691673088
%N A346186 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * a(k) * a(n-k-1).
%t A346186 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n - 1, k]^3 a[k] a[n - k - 1], {k, 0, n - 1}]; Table[a[n], {n, 0, 17}]
%Y A346186 Cf. A000142, A132228, A181543, A346185, A346187.
%K A346186 nonn
%O A346186 0,3
%A A346186 _Ilya Gutkovskiy_, Jul 09 2021