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A004344 Binomial coefficient C(5n+10,n). 2

%I #14 Oct 25 2023 00:41:53

%S 1,15,190,2300,27405,324632,3838380,45379620,536878650,6358402050,

%T 75394027566,895068996640,10638894058520,126600387152400,

%U 1508152231077400,17984495151670680,214667221708410075,2564603660132096265,30664510802988208300,366934961273420740200

%N Binomial coefficient C(5n+10,n).

%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 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) = C(5n+10,n) = (n+2)*A233738(n)/2. _Wesley Ivan Hurt_, Sep 01 2014

%p A004344:=n->binomial(5*n+10,n): seq(A004344(n), n=0..20); # _Wesley Ivan Hurt_, Sep 01 2014

%t Table[Binomial[5 n + 10, n], {n, 0, 20}] (* _Wesley Ivan Hurt_, Sep 01 2014 *)

%o (Magma) [Binomial(5*n+10,n) : n in [0..20]]; // _Wesley Ivan Hurt_, Sep 01 2014

%Y Cf. A233738.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E Name and offset changed by _Wesley Ivan Hurt_, Sep 01 2014

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Last modified April 23 09:48 EDT 2024. Contains 371905 sequences. (Running on oeis4.)