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 A010992 #29 Jul 08 2025 01:48:22
%S A010992 1,40,820,11480,123410,1086008,8145060,53524680,314457495,1677106640,
%T A010992 8217822536,37353738800,158753389900,635013559600,2403979904200,
%U A010992 8654327655120,29749251314475,97997533741800,310325523515700,947309492837400,2794563003870330
%N A010992 Binomial coefficient C(n,39).
%H A010992 T. D. Noe, <a href="/A010992/b010992.txt">Table of n, a(n) for n = 39..1000</a>
%H A010992 <a href="/index/Rec#order_40">Index entries for linear recurrences with constant coefficients</a>, signature (40, -780, 9880, -91390, 658008, -3838380, 18643560, -76904685, 273438880, -847660528, 2311801440, -5586853480, 12033222880, -23206929840, 40225345056, -62852101650, 88732378800, -113380261800, 131282408400, -137846528820, 131282408400, -113380261800, 88732378800, -62852101650, 40225345056, -23206929840, 12033222880, -5586853480, 2311801440, -847660528, 273438880, -76904685, 18643560, -3838380, 658008, -91390, 9880, -780, 40, -1).
%F A010992 G.f.: x^39/(1-x)^40. - _Zerinvary Lajos_, Dec 19 2008
%F A010992 From _Amiram Eldar_, Dec 15 2020: (Start)
%F A010992 Sum_{n>=39} 1/a(n) = 39/38.
%F A010992 Sum_{n>=39} (-1)^(n+1)/a(n) = A001787(39)*log(2) - A242091(39)/38! = 10720238370816*log(2) - 63624578230235205349866541/8562390155550 = 0.9761396932... (End)
%p A010992 seq(binomial(n,39),n=39..57); # _Zerinvary Lajos_, Dec 19 2008
%t A010992 Table[Binomial[n,39],{n,39,70}] (* _Vladimir Joseph Stephan Orlovsky_, May 16 2011 *)
%o A010992 (Magma) [Binomial(n, 39): n in [39..70]]; // _Vincenzo Librandi_, Jun 12 2013
%Y A010992 Cf. A010990, A010991, A001787, A242091.
%K A010992 nonn
%O A010992 39,2
%A A010992 _N. J. A. Sloane_