A004376 Binomial coefficient C(7n,n-8).

1, 63, 2415, 73150, 1929501, 46504458, 1052618392, 22760723700, 475491062970, 9672348219898, 192657357567675, 3773073433365600, 72880766421258705, 1391807041381659420, 26327386978706181060, 494021297842805141360, 9206887338937200407418, 170581647026332833987150

Offset

8,2

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

Links

Table of n, a(n) for n=8..25.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Formula

a(n) ~ 7^(7*n+1/2) / (6^(6*n+17/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[7n, n-8], {n, 8, 30}] (* Harvey P. Dale, Jul 16 2011 *)

Prog

(PARI) a(n) = binomial(7*n, n-8); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A173191 A143401 A075516 * A094938 A006110 A132051

Adjacent sequences: A004373 A004374 A004375 * A004377 A004378 A004379

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved