A004374 Binomial coefficient C(7n,n-6).

1, 49, 1540, 39711, 916895, 19757815, 406481544, 8093990190, 157366449604, 3005047770725, 56594002961496, 1054285955968882, 19470069317824125, 357039166816301200, 6509613950241656640, 118118024245256829444, 2134712294190092847615, 38450113512250679568350, 690576726154531450166856

Offset

6,2

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=6..24.

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+13/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

a[n_] := Binomial[7*n, n-6]; Array[a, 25, 6] (* Amiram Eldar, Sep 09 2025 *)

Prog

(PARI) a(n) = binomial(7*n, n-6); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A032655 A387316 A001458 * A203500 A069327 A088068

Adjacent sequences: A004371 A004372 A004373 * A004375 A004376 A004377

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved