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A305467 a(n) = Sum_{k=0..floor(n/2)} ((n-k)!/k!)*binomial(n-k,k)*n^(n-2*k)*(-1)^k. 3
1, 1, 7, 150, 5857, 363045, 32817311, 4078256168, 667231014401, 139047475691385, 35961972186044999, 11303290914120251574, 4243674498966718214113, 1875719852330658989518045, 964140893268009386931042943, 570249392860305817156465883040 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..232

FORMULA

a(n) ~ n! * n^n. - Vaclav Kotesovec, Jun 03 2018

PROG

(PARI) {a(n) = sum(k=0, n/2, ((n-k)!/k!)*binomial(n-k, k)*n^(n-2*k)*(-1)^k)}

CROSSREFS

Main diagonal of A305466.

Cf. A305465.

Sequence in context: A291677 A152552 A308581 * A229806 A229880 A070248

Adjacent sequences:  A305464 A305465 A305466 * A305468 A305469 A305470

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jun 02 2018

STATUS

approved

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Last modified July 25 03:32 EDT 2021. Contains 346282 sequences. (Running on oeis4.)