A004375 Binomial coefficient C(7n,n-7).

1, 56, 1953, 54740, 1353275, 30872016, 666563898, 13834413152, 278818865325, 5494563394320, 106395830418878, 2031659407077300, 38359579905883600, 717595238609316480, 13321581681795883020, 245722278467924356560, 4507944342815596914910, 82320404442262027172208

Offset

7,2

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

Vincenzo Librandi, Table of n, a(n) for n = 7..820

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+15/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

 Table[Binomial[7 n, n - 7], {n, 7, 20}] (* Vincenzo Librandi, Feb 02 2017 *)

Prog

(Magma) [Binomial(7*n, n-7): n in [7..30]]; // Vincenzo Librandi, Feb 02 2017
(PARI) a(n) = binomial(7*n, n-7); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A000504 A130646 A038649 * A103726 A332859 A004387

Adjacent sequences: A004372 A004373 A004374 * A004376 A004377 A004378

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved