This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A017727 #25 Sep 08 2022 08:44:43 %S A017727 1,64,2080,45760,766480,10424128,119877472,1198774720,10639125640, %T A017727 85113005120,621324937376,4179822305984,26123889412400, %U A017727 152724276564800,839983521106400,4367914309753280,21566576904406820 %N A017727 Binomial coefficients C(n,63). %H A017727 Michael De Vlieger, <a href="/A017727/b017727.txt">Table of n, a(n) for n = 63..10000</a> %F A017727 From _G. C. Greubel_, Nov 03 2018: (Start) %F A017727 G.f.: x^63/(1-x)^64. %F A017727 E.g.f.: x^63*exp(x)/63!. (End) %F A017727 From _Amiram Eldar_, Dec 17 2020: (Start) %F A017727 Sum_{n>=63} 1/a(n) = 63/62. %F A017727 Sum_{n>=63} (-1)^(n+1)/a(n) = A001787(63)*log(2) - A242091(63)/62! = 290536219160925437952*log(2) - 23620045751782378911483133238094693227021389 / 117288381359406970983270 = 0.9848351324... (End) %t A017727 With[{x = 63}, Binomial[Range[x, x + 16], x]] (* _Michael De Vlieger_, Jan 31 2018 *) %o A017727 (Sage) [binomial(n, 63) for n in range(63,80)] # _Zerinvary Lajos_, May 23 2009 %o A017727 (PARI) for(n=63, 80, print1(binomial(n,63), ", ")) \\ _G. C. Greubel_, Nov 03 2018 %o A017727 (Magma) [Binomial(n,63): n in [63..80]]; // _G. C. Greubel_, Nov 03 2018 %Y A017727 Cf. A001787, A242091. %K A017727 nonn %O A017727 63,2 %A A017727 _N. J. A. Sloane_