A342198 a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k)^4 * a(k-1).

1, 1, 17, 179, 6083, 298583, 20015947, 2214261035, 332014246747, 64923646898023, 17220997162396851, 5898373172881341811, 2513698997312409032785, 1335813901379210302030497, 875400777321767437156156305, 692119702624591542667897216641, 653524900495231808524498551469617

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Mathematica

a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, k]^4 a[k - 1], {k, 1, n}]; Table[a[n], {n, 0, 16}]

Crossrefs

Cf. A040027, A061685, A336196, A342196, A342197, A342199.

Sequence in context: A121793 A042985 A125405 * A130651 A142214 A066521

Adjacent sequences: A342195 A342196 A342197 * A342199 A342200 A342201

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 04 2021

Status

approved