A004360 - OEIS

%I #13 Oct 25 2023 23:49:57

%S 1,36,861,17296,316251,5461512,90858768,1473109704,23446881315,

%T 368136785016,5720645481903,88188515933856,1350990969850340,

%U 20592957740312160,312629484400483356,4730523156632595024

%N Binomial coefficient C(6n,n-5).

%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="/A004360/b004360.txt">Table of n, a(n) for n = 5..855</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 a(n+1) = a(n)*72*(6*n+1)*(3*n+1)*(2*n+1)*(3*n+2)*(6*n+5)*(n+1)/(5*(5*n+6)*(5*n+7)*(5*n+8)*(5*n+9)*(n+2)*(n-4)). - _Robert Israel_, Feb 04 2018

%p seq(binomial(6*n,n-5),n=5..20); # _Robert Israel_, Feb 04 2018

%K nonn,easy

%O 5,2

%A _N. J. A. Sloane_