A004384 Binomial coefficient C(8n,n-3).

1, 32, 780, 17296, 367290, 7624512, 156238908, 3176716400, 64276915527, 1296543270880, 26100986351440, 524780754733872, 10542859559688820, 211709328983644800, 4250305029168216000, 85323087086516197776, 1712879663609111933495, 34390163638286322098400, 690576726154531450166856

Offset

3,2

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=3..21.

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+7/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-3], {n, 3, 20}] (* Harvey P. Dale, Dec 17 2016 *)

Prog

(PARI) a(n) = binomial(8*n, n-3); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A283127 A295713 A087423 * A248071 A183215 A282396

Adjacent sequences: A004381 A004382 A004383 * A004385 A004386 A004387

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Amiram Eldar, Sep 10 2025

Status

approved