A004366 Binomial coefficient C(6n,n-11).

1, 72, 3003, 95284, 2555190, 61124064, 1346548665, 27883218168, 550339251858, 10456592670160, 192657357567675, 3461014728350400, 60881281549022688, 1052134368066259632, 17910906207136060650, 300991119217548679920, 5001965640658402056270, 82320404442262027172208

Offset

11,2

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=11..28.

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+23/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Mathematica

Table[Binomial[6n, n-11], {n, 11, 40}] (* Harvey P. Dale, Sep 25 2020 *)

Prog

(PARI) a(n) = binomial(6*n, n-11); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A017735 A141054 A173192 * A004389 A111598 A116312

Adjacent sequences: A004363 A004364 A004365 * A004367 A004368 A004369

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved