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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.

A010996 Binomial coefficient C(n,43).

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%I A010996 #25 Jul 08 2025 01:48:30
%S A010996 1,44,990,15180,178365,1712304,13983816,99884400,636763050,3679075400,
%T A010996 19499099620,95722852680,438729741450,1889912732400,7694644696200,
%U A010996 29752626158640,109712808959985,387221678682300,1312251244423350,4282083008118300,13488561475572645
%N A010996 Binomial coefficient C(n,43).
%H A010996 T. D. Noe, <a href="/A010996/b010996.txt">Table of n, a(n) for n = 43..1000</a>
%H A010996 <a href="/index/Rec#order_44">Index entries for linear recurrences with constant coefficients</a>, signature (44, -946, 13244, -135751, 1086008, -7059052, 38320568, -177232627, 708930508, -2481256778, 7669339132, -21090682613, 51915526432, -114955808528, 229911617056, -416714805914, 686353797976, -1029530696964, 1408831480056, -1761039350070, 2012616400080, -2104098963720, 2012616400080, -1761039350070, 1408831480056, -1029530696964, 686353797976, -416714805914, 229911617056, -114955808528, 51915526432, -21090682613, 7669339132, -2481256778, 708930508, -177232627, 38320568, -7059052, 1086008, -135751, 13244, -946, 44, -1).
%F A010996 G.f.: x^43/(1-x)^44. - _Zerinvary Lajos_, Dec 20 2008
%F A010996 From _Amiram Eldar_, Dec 15 2020: (Start)
%F A010996 Sum_{n>=43} 1/a(n) = 43/42.
%F A010996 Sum_{n>=43} (-1)^(n+1)/a(n) = A001787(43)*log(2) - A242091(43)/42! = 189115999977472*log(2) - 897361051359348522193323713869/6845630929362225 = 0.9782220374... (End)
%p A010996 seq(binomial(n,43),n=43..57); # _Zerinvary Lajos_, Dec 20 2008
%t A010996 Table[Binomial[n, 43], {n, 43, 70}] (* _Vladimir Joseph Stephan Orlovsky_, May 16 2011 *)
%o A010996 (Magma) [Binomial(n, 43): n in [43..70]]; // _Vincenzo Librandi_, Jun 12 2013
%Y A010996 Cf. A010994, A010996, A001787, A242091.
%K A010996 nonn,easy
%O A010996 43,2
%A A010996 _N. J. A. Sloane_