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%I #28 Dec 15 2023 11:07:11
%S 1,46,1081,17296,211876,2118760,18009460,133784560,886322710,
%T 5317936260,29248649430,148902215280,707285522580,3155581562280,
%U 13298522298180,53194089192720,202802465047245,739632519584070,2588713818544245,8719878125622720,28339603908273840
%N a(n) = binomial coefficient C(n,45).
%H T. D. Noe, <a href="/A010998/b010998.txt">Table of n, a(n) for n = 45..1000</a>
%H <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (46, -1035, 15180, -163185, 1370754, -9366819, 53524680, -260932815, 1101716330, -4076350421, 13340783196, -38910617655, 101766230790, -239877544005, 511738760544, -991493848554, 1749695026860, -2818953098830, 4154246671960, -5608233007146, 6943526580276, -7890371113950, 8233430727600, -7890371113950, 6943526580276, -5608233007146, 4154246671960, -2818953098830, 1749695026860, -991493848554, 511738760544, -239877544005, 101766230790, -38910617655, 13340783196, -4076350421, 1101716330, -260932815, 53524680, -9366819, 1370754, -163185, 15180, -1035, 46, -1).
%F G.f.: x^45/(1-x)^46. - _Zerinvary Lajos_, Dec 20 2008
%F From _Amiram Eldar_, Dec 15 2020: (Start)
%F Sum_{n>=45} 1/a(n) = 45/44.
%F Sum_{n>=45} (-1)^(n+1)/a(n) = A001787(45)*log(2) - A242091(45)/44! = 791648371998720*log(2) - 14357776821749657880334247281129/26165522663340060 = 0.9791324188... (End)
%p seq(binomial(n,45),n=45..67); # _Zerinvary Lajos_, Dec 20 2008
%t Table[Binomial[n,45],{n,45,77}] (* _Vladimir Joseph Stephan Orlovsky_, May 16 2011 *)
%o (Magma) [Binomial(n, 45): n in [45..70]]; // _Vincenzo Librandi_, Jun 12 2013
%Y Cf. A010996, A010997, A001787, A242091.
%K nonn
%O 45,2
%A _N. J. A. Sloane_
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