A004365 Binomial coefficient C(6n,n-10).

1, 66, 2556, 76076, 1929501, 43949268, 927048304, 18466953120, 352025629371, 6481773410772, 116068178638776, 2031659407077300, 34898565177533200, 590080113475142976, 9844971586905715128, 162392216278033616560, 2652484238104647741795, 42958057855066276483260

Offset

10,2

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=10..27.

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+21/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[6n, n-10], {n, 10, 40}] (* Harvey P. Dale, Oct 12 2012 *)

Prog

(PARI) a(n) = binomial(6*n, n-10); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A017729 A230993 A173124 * A062152 A138875 A138877

Adjacent sequences: A004362 A004363 A004364 * A004366 A004367 A004368

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved