A004392 Binomial coefficient C(8n,n-11).

1, 96, 5356, 227920, 8214570, 264566400, 7858539612, 219683466288, 5859727868575, 150599264060960, 3756161027103408, 91408035226209520, 2179449368215754180, 51079330206309343680, 1179791641436990551200, 26911362362624730004560, 607265047705724030031291, 13575175640790466320762144

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

Robert Israel, Table of n, a(n) for n = 11..771

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

7*(n - 10)*(7*n + 12)*(7*n + 13)*(n + 2)*(7*n + 15)*(7*n + 16)*(7*n + 17)*(7*n + 18)*a(n + 1) = 128*(8*n + 1)*(4*n + 1)*(8*n + 3)*(2*n + 1)*(8*n + 5)*(4*n + 3)*(8*n + 7)*(n + 1)*a(n). - Robert Israel, Aug 05 2020

a(n) ~ 2^(24*n+1) / (7^(7*n+23/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 09 2025

Maple

seq(binomial(8*n, n-11), n=11..40); # Robert Israel, Aug 05 2020

Mathematica

Table[Binomial[8n, n-11], {n, 11, 30}]  (* Harvey P. Dale, Apr 13 2011 *)

Prog

(PARI) a(n) = binomial(8*n, n-11); \\ Amiram Eldar, Sep 09 2025

Crossrefs

Sequence in context: A035809 A017759 A251159 * A229585 A093296 A093248

Adjacent sequences: A004389 A004390 A004391 * A004393 A004394 A004395

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved