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 A010986 #33 Dec 15 2023 10:46:24 %S A010986 1,34,595,7140,66045,501942,3262623,18643560,95548245,445891810, %T A010986 1917334783,7669339132,28760021745,101766230790,341643774795, %U A010986 1093260079344,3348108992991,9847379391150,27900908274925,76360380541900,202355008436035,520341450264090 %N A010986 Binomial coefficient C(n,33). %H A010986 T. D. Noe, <a href="/A010986/b010986.txt">Table of n, a(n) for n = 33..1000</a> %H A010986 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (34, -561, 5984, -46376, 278256, -1344904, 5379616, -18156204, 52451256, -131128140, 286097760, -548354040, 927983760, -1391975640, 1855967520, -2203961430, 2333606220, -2203961430, 1855967520, -1391975640, 927983760, -548354040, 286097760, -131128140, 52451256, -18156204, 5379616, -1344904, 278256, -46376, 5984, -561, 34, -1). %F A010986 G.f.: x^33/(1-x)^34. - _Zerinvary Lajos_, Dec 19 2008; adapted to offset by _Enxhell Luzhnica_, Jan 23 2017 %F A010986 From _Amiram Eldar_, Dec 12 2020: (Start) %F A010986 Sum_{n>=33} 1/a(n) = 33/32. %F A010986 Sum_{n>=33} (-1)^(n+1)/a(n) = A001787(33)*log(2) - A242091(33)/32! = 141733920768*log(2) - 429895798848743086730197/4375865239200 = 0.9721422619... (End) %p A010986 seq(binomial(n,33),n=33..55); # _Zerinvary Lajos_, Dec 19 2008 %t A010986 Table[Binomial[n,33],{n,33,60}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 26 2011 *) %o A010986 (Magma) [Binomial(n, 33): n in [33..70]]; // _Vincenzo Librandi_, Jun 12 2013 %o A010986 (PARI) for(n=33, 60, print1(binomial(n,33), ", ")) \\ _G. C. Greubel_, Nov 23 2017 %Y A010986 Cf. A010984, A010985, A001787, A242091. %K A010986 nonn,easy %O A010986 33,2 %A A010986 _N. J. A. Sloane_