A358611 - OEIS

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A358611

a(n) = Sum_{k=0..floor(n/5)} (-1)^k * (n-5*k)!.

4

1, 1, 2, 6, 24, 119, 719, 5038, 40314, 362856, 3628681, 39916081, 478996562, 6226980486, 87177928344, 1307670739319, 20922749971919, 355686949099438, 6402367478747514, 121645013230903656, 2432900700505900681, 51090921248959468081, 1124000372090658580562

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

OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..449

FORMULA

a(n) = n * a(n-1) - a(n-5) + n * a(n-6) for n > 5.

PROG

(PARI) a(n) = sum(k=0, n\5, (-1)^k*(n-5*k)!);

CROSSREFS

Cf. A358607, A358608, A358609.

Sequence in context: A005395 A370383 A357920 * A362332 A092495 A110808

Adjacent sequences: A358608 A358609 A358610 * A358612 A358613 A358614

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 23 2022

STATUS

approved