A004379 Binomial coefficient C(7n,n-11).

1, 84, 4095, 152096, 4780230, 134153712, 3470108187, 84431259000, 1959267085776, 43790762164380, 949517708685546, 20082459351180240, 416047580521136200, 8470484585302467168, 169921950043809807675, 3365771970722154761040, 65942283772708033788405, 1279695717825012754353360

Offset

11,2

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=11..28.

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+23/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

a[n_] := Binomial[7*n, n-11]; Array[a, 25, 11] (* Amiram Eldar, Sep 09 2025 *)

Prog

(PARI) a(n) = binomial(7*n, n-11); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A017747 A223959 A143402 * A075906 A075909 A132052

Adjacent sequences: A004376 A004377 A004378 * A004380 A004381 A004382

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved