A346185 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * a(k).

1, 1, 2, 11, 93, 1294, 26045, 714391, 26109426, 1224739755, 71807248783, 5173027197636, 450173748220033, 46617339568635115, 5677430539873463470, 804907754967314483801, 131598260940217897338131, 24609634809861999705338820, 5226508081059269450476666513

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Mathematica

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}]

Crossrefs

Cf. A000110, A061684, A101514, A181543, A336195.

Sequence in context: A355111 A363116 A099697 * A083069 A158837 A236962

Adjacent sequences: A346182 A346183 A346184 * A346186 A346187 A346188

Keyword

nonn

Author

Ilya Gutkovskiy, Jul 09 2021

Status

approved