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 A017715 #24 Sep 08 2022 08:44:43 %S A017715 1,52,1378,24804,341055,3819816,36288252,300674088,2217471399, %T A017715 14783142660,90177170226,508271323092,2668424446233,13136858812224, %U A017715 60992558771040,268367258592576,1123787895356412,4495151581425648 %N A017715 Binomial coefficients C(n,51). %H A017715 G. C. Greubel, <a href="/A017715/b017715.txt">Table of n, a(n) for n = 51..10000</a> %F A017715 From _G. C. Greubel_, Nov 03 2018: (Start) %F A017715 G.f.: x^51/(1-x)^52. %F A017715 E.g.f.: x^51*exp(x)/51!. (End) %F A017715 From _Amiram Eldar_, Dec 16 2020: (Start) %F A017715 Sum_{n>=51} 1/a(n) = 51/50. %F A017715 Sum_{n>=51} (-1)^(n+1)/a(n) = A001787(51)*log(2) - A242091(51)/50! = 57420895248973824*log(2) - 60463469751752265663579884559739219 / 1519139462865684660 = 0.9814572990... (End) %t A017715 Table[Binomial[n,51],{n,51,77}] (* _Vladimir Joseph Stephan Orlovsky_, May 16 2011 *) %o A017715 (Sage) [binomial(n, 51) for n in range(51,69)] # _Zerinvary Lajos_, May 23 2009 %o A017715 (PARI) for(n=51, 80, print1(binomial(n,51), ", ")) \\ _G. C. Greubel_, Nov 03 2018 %o A017715 (Magma) [Binomial(n,51): n in [51..80]]; // _G. C. Greubel_, Nov 03 2018 %Y A017715 Cf. A001787, A242091. %K A017715 nonn %O A017715 51,2 %A A017715 _N. J. A. Sloane_