A004377 Binomial coefficient C(7n,n-9).

1, 70, 2926, 95284, 2672670, 67910864, 1609344100, 36227890512, 784244450262, 16466440817750, 337429331439200, 6779606178721740, 134025863244159796, 2614066792211961240, 50410336514571953200, 962811747862713768096, 18238289304702252690450, 343036509457204317226290

Offset

9,2

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=9..26.

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+19/2) * sqrt(2*Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[7n, n-9], {n, 9, 30}] (* Harvey P. Dale, Sep 06 2024 *)

Prog

(PARI) a(n) = binomial(7*n, n-9); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A017733 A197192 A213468 * A069296 A349466 A075923

Adjacent sequences: A004374 A004375 A004376 * A004378 A004379 A004380

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved