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 A010988 #32 Dec 15 2023 10:57:11 %S A010988 1,36,666,8436,82251,658008,4496388,26978328,145008513,708930508, %T A010988 3190187286,13340783196,52251400851,192928249296,675248872536, %U A010988 2250829575120,7174519270695,21945588357420,64617565719070,183649923622620,505037289962205,1346766106565880 %N A010988 Binomial coefficient C(n,35). %H A010988 T. D. Noe, <a href="/A010988/b010988.txt">Table of n, a(n) for n = 35..1000</a> %H A010988 <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (36, -630, 7140, -58905, 376992, -1947792, 8347680, -30260340, 94143280, -254186856, 600805296, -1251677700, 2310789600, -3796297200, 5567902560, -7307872110, 8597496600, -9075135300, 8597496600, -7307872110, 5567902560, -3796297200, 2310789600, -1251677700, 600805296, -254186856, 94143280, -30260340, 8347680, -1947792, 376992, -58905, 7140, -630, 36, -1). %F A010988 G.f.: x^35/(1-x)^36. - _Zerinvary Lajos_, Dec 19 2008; adapted to offset by _Enxhell Luzhnica_, Jan 23 2017 %F A010988 From _Amiram Eldar_, Dec 12 2020: (Start) %F A010988 Sum_{n>=35} 1/a(n) = 35/34. %F A010988 Sum_{n>=35} (-1)^(n+1)/a(n) = A001787(35)*log(2) - A242091(35)/34! = 601295421440*log(2) - 429895798851992810179897/1031453949240 = 0.9736160133... (End) %p A010988 seq(binomial(n,35),n=35..55); # _Zerinvary Lajos_, Dec 19 2008 %t A010988 Table[Binomial[n,35],{n,35,66}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 26 2011 *) %o A010988 (Magma) [Binomial(n, 35): n in [35..70]]; // _Vincenzo Librandi_, Jun 12 2013 %Y A010988 Cf. A010985, A010986, A010987, A001787, A242091. %K A010988 nonn %O A010988 35,2 %A A010988 _N. J. A. Sloane_