A368852 a(n) = (n!)^3 * Sum_{k=0..n} (-1)^k/(k!)^3.

1, 0, 1, 26, 1665, 208124, 44954785, 15419491254, 7894779522049, 5755294271573720, 5755294271573720001, 7660296675464621321330, 13236992655202865643258241, 29081672863480695818238355476, 79800110337391029325246047426145

Offset

0,4

Links

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

Formula

a(n) = n^3 * a(n-1) + (-1)^n.

Prog

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

Crossrefs

Cf. A000166, A073701.

Cf. A217284.

Sequence in context: A042300 A282884 A080163 * A300578 A217228 A005644

Adjacent sequences: A368849 A368850 A368851 * A368853 A368854 A368855

Keyword

nonn,easy

Author

Seiichi Manyama, Jan 07 2024

Status

approved