A346186 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * a(k) * a(n-k-1).
1, 1, 2, 12, 132, 2664, 86328, 4257504, 302249232, 29749088160, 3929593244256, 678729769735680, 149951093054923584, 41593439995316826624, 14254785976456164378240, 5952723682598023085466624, 2992204352832467277009072384, 1791038631707465961597691673088
Offset: 0
Keywords
Programs
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Mathematica
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}]