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 A010987 #33 Dec 15 2023 10:47:09 %S A010987 1,35,630,7770,73815,575757,3838380,22481940,118030185,563921995, %T A010987 2481256778,10150595910,38910617655,140676848445,482320623240, %U A010987 1575580702584,4923689695575,14771069086725,42671977361650,119032357903550,321387366339585,841728816603675 %N A010987 Binomial coefficient C(n,34). %H A010987 T. D. Noe, <a href="/A010987/b010987.txt">Table of n, a(n) for n = 34..1000</a> %H A010987 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (35, -595, 6545, -52360, 324632, -1623160, 6724520, -23535820, 70607460, -183579396, 417225900, -834451800, 1476337800, -2319959400, 3247943160, -4059928950, 4537567650, -4537567650, 4059928950, -3247943160, 2319959400, -1476337800, 834451800, -417225900, 183579396, -70607460, 23535820, -6724520, 1623160, -324632, 52360, -6545, 595, -35, 1). %F A010987 G.f.: x^34/(1-x)^35 . - _Zerinvary Lajos_, Dec 19 2008; adapted to offset by _Enxhell Luzhnica_, Jan 23 2017 %F A010987 From _Amiram Eldar_, Dec 12 2020: (Start) %F A010987 Sum_{n>=34} 1/a(n) = 34/33. %F A010987 Sum_{n>=34} (-1)^n/a(n) = A001787(34)*log(2) - A242091(34)/33! = 292057776128*log(2) - 429895798850931019349797/2123581660200 = 0.9728992064... (End) %p A010987 seq(binomial(n,34),n=34..55); # _Zerinvary Lajos_, Dec 19 2008 %t A010987 Table[Binomial[n,34],{n,34,60}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 26 2011 *) %o A010987 (Magma) [Binomial(n, 34): n in [34..70]]; // _Vincenzo Librandi_, Jun 12 2013 %o A010987 (PARI) x='x+O('x^50); Vec(x^34/(1-x)^35) \\ _G. C. Greubel_, Nov 23 2017 %Y A010987 Cf. A010984, A010985, A010986, A001787, A242091. %K A010987 nonn %O A010987 34,2 %A A010987 _N. J. A. Sloane_