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a(n) = binomial(8*n, n-8).
5

%I #15 Sep 08 2022 08:44:32

%S 1,72,3160,109736,3321960,91962520,2392407864,59487568920,

%T 1429702652400,33469894423680,767464189477128,17307292232623120,

%U 385037822966765800,8470484585302467168,184606563010558803400,3991697442876739754640,85733828145510955528212

%N a(n) = binomial(8*n, n-8).

%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="/A004389/b004389.txt">Table of n, a(n) for n = 8..780</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].

%p A004389:=n->binomial(8*n,n-8): seq(A004389(n), n=8..30); # _Wesley Ivan Hurt_, Apr 18 2017

%t Table[Binomial[8 n, n - 8], {n, 8, 40}] (* _Vincenzo Librandi_, Apr 20 2017 *)

%o (Magma) [Binomial(8*n,n-8): n in [8..30]]; // _Vincenzo Librandi_, Apr 20 2017

%K nonn,easy

%O 8,2

%A _N. J. A. Sloane_