%I #22 Sep 08 2022 08:44:32
%S 1,30,595,9880,148995,2118760,28989675,386206920,5047381560,
%T 65033528560,828931106355,10477677064400,131567066917650,
%U 1643385429346680,20439879147794485,253338471349988640
%N Binomial coefficient C(5n,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 Vincenzo Librandi, <a href="/A004347/b004347.txt">Table of n, a(n) for n = 5..940</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 From _Ilya Gutkovskiy_, Jan 31 2017: (Start)
%F E.g.f.: (1/120)*x^5*4F4(26/5,27/5,28/5,29/5; 13/2,27/4,7,29/4; 3125*x/256).
%F a(n) ~ 5^(5*n+1/2)/(sqrt(Pi*n)*2^(8*n+23/2)). (End)
%t Table[Binomial[5 n, n - 5], {n, 5, 40}] (* _Vincenzo Librandi_, Feb 01 2017 *)
%o (Magma) [Binomial(5*n, n-5): n in [5..40]]; // _Vincenzo Librandi_, Feb 01 2017
%K nonn,easy
%O 5,2
%A _N. J. A. Sloane_