A004373 Binomial coefficient C(7n,n-5).

1, 42, 1176, 27720, 595665, 12103014, 237093780, 4529365776, 84986896995, 1573664496040, 28848458598960, 524780754733872, 9488573603719938, 170737530940919250, 3060335715568296000, 54680757182029915776, 974473700023368842913, 17328840976366636057110, 307600908098005436546800

Offset

5,2

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=5..23.

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+11/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

a[n_] := Binomial[7*n, n-5]; Array[a, 25, 5] (* Amiram Eldar, Sep 09 2025 *)

Prog

(PARI) a(n) = binomial(7*n, n-5); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A004361 A264178 A260584 * A001778 A111780 A075922

Adjacent sequences: A004370 A004371 A004372 * A004374 A004375 A004376

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved