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<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).
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(MAGMAMagma) [Binomial(n, 45): n in [45..70]]; // Vincenzo Librandi, Jun 12 2013
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G.f.: x^45/(1-x)^46. [_- _Zerinvary Lajos_, Dec 20 2008]
From Amiram Eldar, Dec 15 2020: (Start)
Sum_{n>=45} 1/a(n) = 45/44.
Sum_{n>=45} (-1)^(n+1)/a(n) = A001787(45)*log(2) - A242091(45)/44! = 791648371998720*log(2) - 14357776821749657880334247281129/26165522663340060 = 0.9791324188... (End)
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Binomial a(n) = binomial coefficient C(n,45).
G.f.: x^45/(1-x)^46. [From __Zerinvary Lajos_, Dec 20 2008]
seq(binomial(n, 45), n=45..67); # [From __Zerinvary Lajos_, Dec 20 2008]
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