A004367 Binomial coefficient C(6n,n-12).

1, 78, 3486, 117480, 3321960, 83291670, 1913554188, 41146859952, 840261910995, 16466440817750, 312058705015200, 5752562036128128, 103619293824707388, 1830311583210984300, 31794836537065001400, 544431634357377094560, 9206887338937200407418, 154010858458060501542684

Offset

12,2

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=12..29.

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) ~ 64^n * 3^(6*n+1/2) / (5^(5*n+25/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[6n, n-12], {n, 12, 30}] (* Harvey P. Dale, Jul 19 2016 *)

Prog

(PARI) a(n) = binomial(6*n, n-12); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A035734 A017741 A060562 * A194568 A276177 A093278

Adjacent sequences: A004364 A004365 A004366 * A004368 A004369 A004370

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved