A004382 Binomial coefficient C(8n, n-1).

1, 16, 276, 4960, 91390, 1712304, 32468436, 621216192, 11969016345, 231900297200, 4513667845896, 88188515933856, 1728597141547640, 33976189889821200, 669413654240461560, 13216710966550396800, 261429178502421685800, 5179613286663806829696, 102772779816546716009700

Offset

1,2

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

Vincenzo Librandi, Table of n, a(n) for n = 1..120

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972.

Formula

a(n) ~ 2^(24*n+1) / (7^(7*n+3/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[8n, n-1], {n, 20}] (* Harvey P. Dale, Jul 17 2017 *)

Prog

(Magma) [ Binomial(8*n, n-1): n in [1..60] ]; // Vincenzo Librandi, Apr 22 2011
(PARI) a(n) = binomial(8*n, n-1); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A221176 A231695 A363754 * A382657 A204955 A189955

Adjacent sequences: A004379 A004380 A004381 * A004383 A004384 A004385

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved