A004372 Binomial coefficient C(7n,n-4).

1, 35, 861, 18424, 367290, 7028847, 131115985, 2404808340, 43595145594, 783768050065, 14005614014756, 249145778809200, 4416904685676756, 78098259661387182, 1378095785451705375, 24278663343508481600, 427193415484608717000, 7509179688415371671859, 131891734097901618879115

Offset

4,2

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=4..22.

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+9/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[7n, n-4], {n, 4, 20}] (* Harvey P. Dale, Jul 17 2018 *)

Prog

(PARI) a(n) = binomial(7*n, n-4); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A267834 A001724 A062194 * A080250 A014934 A115473

Adjacent sequences: A004369 A004370 A004371 * A004373 A004374 A004375

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved