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 A017732 #22 Sep 08 2022 08:44:43 %S A017732 1,69,2415,57155,1028790,15020334,185250786,1984829850,18855883575, %T A017732 161322559475,1258315963905,9036996468045,60246643120300, %U A017732 375382930211100,2198671448379300,12165982014365460,63871405575418665 %N A017732 Binomial coefficients C(n,68). %H A017732 Michael De Vlieger, <a href="/A017732/b017732.txt">Table of n, a(n) for n = 68..10000</a> %F A017732 From _G. C. Greubel_, Nov 09 2018: (Start) %F A017732 G.f.: x^68/(1-x)^69. %F A017732 E.g.f.: x^68*exp(x)/68!. (End) %F A017732 From _Amiram Eldar_, Dec 17 2020: (Start) %F A017732 Sum_{n>=68} 1/a(n) = 68/67. %F A017732 Sum_{n>=68} (-1)^n/a(n) = A001787(68)*log(2) - A242091(68)/67! = 10035028776097996079104*log(2) - 202565512367285681545841250463735407356215875047 / 29122015159885695560022510 = 0.9859047391... (End) %t A017732 Array[Binomial[#, 68] &, 17, 68] (* _Michael De Vlieger_, Jul 06 2018 *) %o A017732 (Sage) [binomial(n, 68) for n in range(68,85)] # _Zerinvary Lajos_, May 23 2009 %o A017732 (PARI) for(n=68, 90, print1(binomial(n,68), ", ")) \\ _G. C. Greubel_, Nov 09 2018 %o A017732 (Magma) [Binomial(n,68): n in [68..90]]; // _G. C. Greubel_, Nov 09 2018 %Y A017732 Cf. A001787, A242091. %K A017732 nonn %O A017732 68,2 %A A017732 _N. J. A. Sloane_