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%I #5 Jul 10 2021 03:04:26
%S 1,1,2,11,93,1294,26045,714391,26109426,1224739755,71807248783,
%T 5173027197636,450173748220033,46617339568635115,5677430539873463470,
%U 804907754967314483801,131598260940217897338131,24609634809861999705338820,5226508081059269450476666513
%N a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * a(k).
%t a[0] = 1; a[n_] := a[n] = Sum[Binomial[n - 1, k]^3 a[k], {k, 0, n - 1}]; Table[a[n], {n, 0, 18}]
%Y Cf. A000110, A061684, A101514, A181543, A336195.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Jul 09 2021