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Binomial coefficient C(7n,n-7).
5

%I #14 Oct 25 2023 23:54:30

%S 1,56,1953,54740,1353275,30872016,666563898,13834413152,278818865325,

%T 5494563394320,106395830418878,2031659407077300,38359579905883600,

%U 717595238609316480,13321581681795883020,245722278467924356560,4507944342815596914910

%N Binomial coefficient C(7n,n-7).

%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="/A004375/b004375.txt">Table of n, a(n) for n = 7..820</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].

%t Table[Binomial[7 n, n - 7], {n, 7, 20}] (* _Vincenzo Librandi_, Feb 02 2017 *)

%o (Magma) [Binomial(7*n, n-7): n in [7..30]]; // _Vincenzo Librandi_, Feb 02 2017

%K nonn,easy

%O 7,2

%A _N. J. A. Sloane_