A058085 a(n) = A058057(n,n-5).

1, 15, 105, 952, 9090, 95382, 1087842, 13434840, 178777899, 2551800461, 38906449491, 631240265424, 10861179600740, 197569486825452, 3788783963810532, 76401913920275280, 1616286241420420437, 35794282853874086955, 828206562646486747645

Offset

5,2

References

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 198.

Links

Seiichi Manyama, Table of n, a(n) for n = 5..450

Formula

a(n) = -Sum_{k=5..n} (-1)^k * (n-k)! * binomial(k,5) * binomial(2*n-k,k). - Seiichi Manyama, Jun 21 2026

Prog

(PARI) a(n) = -sum(k=5, n, (-1)^k*(n-k)!*binomial(k, 5)*binomial(2*n-k, k)); \\ Seiichi Manyama, Jun 21 2026

Crossrefs

A diagonal of A058057.

Sequence in context: A202493 A200852 A266503 * A060218 A226109 A264415

Adjacent sequences: A058082 A058083 A058084 * A058086 A058087 A058088

Keyword

nonn

Author

N. J. A. Sloane, Dec 02 2000

Extensions

Name changed by Seiichi Manyama, Jun 21 2026

Status

approved