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Binomial coefficient C(8n,n-11).
1

%I #15 Oct 25 2023 23:59:12

%S 1,96,5356,227920,8214570,264566400,7858539612,219683466288,

%T 5859727868575,150599264060960,3756161027103408,91408035226209520,

%U 2179449368215754180,51079330206309343680,1179791641436990551200

%N Binomial coefficient C(8n,n-11).

%D 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.

%H Robert Israel, <a href="/A004392/b004392.txt">Table of n, a(n) for n = 11..771</a>

%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

%F 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

%p seq(binomial(8*n,n-11),n=11..40); # _Robert Israel_, Aug 05 2020

%t Table[Binomial[8n,n-11],{n,11,30}] (* _Harvey P. Dale_, Apr 13 2011 *)

%K nonn,easy

%O 11,2

%A _N. J. A. Sloane_