A374615 a(n) = Sum_{k=0..n} (k/n)^3 * binomial(n,k)^5.

1, 5, 82, 1421, 29626, 657662, 15528640, 381137549, 9656742322, 250689517130, 6638957500924, 178721359853390, 4878005765458528, 134712060315562784, 3758101325718600832, 105769714118196065933, 3000003700599260555650, 85677293959381174518986

Offset

1,2

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = Sum_{k=0..n-1} binomial(n-1,k)^3 * binomial(n,k)^2.

Prog

(PARI) a(n) = sum(k=0, n-1, binomial(n-1, k)^3*binomial(n, k)^2);

Crossrefs

Cf. A005261, A374614, A374616.

Cf. A181069.

Sequence in context: A280220 A280675 A209102 * A274388 A308753 A163011

Adjacent sequences: A374612 A374613 A374614 * A374616 A374617 A374618

Keyword

nonn

Author

Seiichi Manyama, Jul 14 2024

Status

approved