A004387 Binomial coefficient C(8n,n-6).

1, 56, 2016, 59640, 1581580, 39175752, 927048304, 21243342120, 475491062970, 10456592670160, 226846154180800, 4868956823342976, 103619293824707388, 2190038132512694800, 46026828991565696400, 962811747862713768096, 20062118235172477959495, 416662771316751452624040

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..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) ~ 2^(24*n+1) / (7^(7*n+13/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-6], {n, 6, 20}]  (* Harvey P. Dale, Apr 11 2011 *)

Prog

(PARI) a(n) = binomial(8*n, n-6); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A004375 A103726 A332859 * A111597 A111781 A221398

Adjacent sequences: A004384 A004385 A004386 * A004388 A004389 A004390

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved