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A004347 Binomial coefficient C(5n,n-5). 5

%I

%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_.

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Last modified October 19 13:23 EDT 2021. Contains 348088 sequences. (Running on oeis4.)