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%I #22 Sep 08 2022 08:44:43
%S 1,66,2211,50116,864501,12103014,143218999,1473109704,13442126049,
%T 110524147514,828931106355,5727160371180,36749279048405,
%U 220495674290430,1244225590638855,6635869816740560,33594090947249085
%N Binomial coefficients C(n,65).
%H Michael De Vlieger, <a href="/A017729/b017729.txt">Table of n, a(n) for n = 65..10000</a>
%F From _G. C. Greubel_, Nov 08 2018: (Start)
%F G.f.: x^65/(1-x)^66.
%F E.g.f.: x^65*exp(x)/65!. (End)
%F From _Amiram Eldar_, Dec 17 2020: (Start)
%F Sum_{n>=65} 1/a(n) = 65/64.
%F Sum_{n>=65} (-1)^(n+1)/a(n) = A001787(65)*log(2) - A242091(65)/64! = 1199038364791120855040*log(2) - 3023365856228144500681042094895944098787640077 / 3637744258777914669265728 = 0.9852818956... (End)
%t Array[Binomial[#, 65] &, 17, 65] (* _Michael De Vlieger_, Jul 06 2018 *)
%o (Sage) [binomial(n, 65) for n in range(65,82)] # _Zerinvary Lajos_, May 23 2009
%o (PARI) for(n=65, 90, print1(binomial(n,65), ", ")) \\ _G. C. Greubel_, Nov 08 2018
%o (Magma) [Binomial(n,65): n in [65..90]]; // _G. C. Greubel_, Nov 08 2018
%Y Cf. A001787, A242091.
%K nonn
%O 65,2
%A _N. J. A. Sloane_
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