A341185 - OEIS

A341185

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

1, 1, 12, 315, 15088, 1141625, 124989156, 18659050795, 3638892086208, 897534389449809, 272981684150035300, 100316132701760094251, 43802068733570039425776, 22409162143775383385763913, 13274030650412266312507931652

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..14.

MATHEMATICA

a[0] = 1; a[n_] := Sum[k^n * k! * Binomial[n, k]^2, {k, 0, n}]; Array[a, 15, 0] (* Amiram Eldar, Feb 06 2021 *)

PROG

(PARI) a(n) = sum(k=0, n, k^n*k!*binomial(n, k)^2);

CROSSREFS

Cf. A002720, A332408, A336828, A341197.

Sequence in context: A129583 A323839 A163585 * A279293 A180790 A277072

Adjacent sequences: A341182 A341183 A341184 * A341186 A341187 A341188

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 06 2021

STATUS

approved