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%I #25 Sep 08 2022 08:44:43
%S 1,64,2080,45760,766480,10424128,119877472,1198774720,10639125640,
%T 85113005120,621324937376,4179822305984,26123889412400,
%U 152724276564800,839983521106400,4367914309753280,21566576904406820
%N Binomial coefficients C(n,63).
%H Michael De Vlieger, <a href="/A017727/b017727.txt">Table of n, a(n) for n = 63..10000</a>
%F From _G. C. Greubel_, Nov 03 2018: (Start)
%F G.f.: x^63/(1-x)^64.
%F E.g.f.: x^63*exp(x)/63!. (End)
%F From _Amiram Eldar_, Dec 17 2020: (Start)
%F Sum_{n>=63} 1/a(n) = 63/62.
%F Sum_{n>=63} (-1)^(n+1)/a(n) = A001787(63)*log(2) - A242091(63)/62! = 290536219160925437952*log(2) - 23620045751782378911483133238094693227021389 / 117288381359406970983270 = 0.9848351324... (End)
%t With[{x = 63}, Binomial[Range[x, x + 16], x]] (* _Michael De Vlieger_, Jan 31 2018 *)
%o (Sage) [binomial(n, 63) for n in range(63,80)] # _Zerinvary Lajos_, May 23 2009
%o (PARI) for(n=63, 80, print1(binomial(n,63), ", ")) \\ _G. C. Greubel_, Nov 03 2018
%o (Magma) [Binomial(n,63): n in [63..80]]; // _G. C. Greubel_, Nov 03 2018
%Y Cf. A001787, A242091.
%K nonn
%O 63,2
%A _N. J. A. Sloane_
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