A004362 Binomial coefficient C(6n,n-7).

1, 48, 1431, 34220, 720720, 13991544, 256851595, 4529365776, 77515521435, 1296543270880, 21300860967540, 344985116783580, 5523060198105996, 87586833265107120, 1378095785451705375, 21540468229578953600, 334817778672726215400, 5179613286663806829696, 79802042605894718226075

Offset

7,2

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=7..25.

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+15/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[6n, n-7], {n, 7, 30}] (* Harvey P. Dale, Nov 15 2011 *)

Prog

(PARI) a(n) = binomial(6*n, n-7); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A173155 A174113 A089272 * A160368 A275042 A062195

Adjacent sequences: A004359 A004360 A004361 * A004363 A004364 A004365

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved