A342196 a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k)^2 * a(k-1).

1, 1, 5, 23, 155, 1355, 14371, 183911, 2781283, 48726355, 976903875, 22183097191, 565060532965, 16016170519017, 501714014484813, 17265124180702953, 649178961366102597, 26544344366333824055, 1175291769917975444817, 56133021061270139242637, 2881893164859601701738005

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Mathematica

a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, k]^2 a[k - 1], {k, 1, n}]; Table[a[n], {n, 0, 20}]

Crossrefs

Cf. A023998, A040027, A101514, A102221, A342197, A342198, A342199.

Sequence in context: A157306 A306185 A336183 * A228851 A308362 A054749

Adjacent sequences: A342193 A342194 A342195 * A342197 A342198 A342199

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 04 2021

Status

approved