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%I #24 Sep 08 2022 08:44:43
%S 1,75,2850,73150,1426425,22537515,300500200,3477216600,35641470150,
%T 328693558050,2761025887620,21335200040700,152902266958350,
%U 1023269017336650,6431976680401800,38163061637050680
%N Binomial coefficients C(n,74).
%H Michael De Vlieger, <a href="/A017738/b017738.txt">Table of n, a(n) for n = 74..10000</a>
%F From _G. C. Greubel_, Nov 09 2018: (Start)
%F G.f.: x^74/(1-x)^75.
%F E.g.f.: x^74*exp(x)/74!. (End)
%F From _Amiram Eldar_, Dec 18 2020: (Start)
%F Sum_{n>=74} 1/a(n) = 74/73.
%F Sum_{n>=74} (-1)^n/a(n) = A001787(74)*log(2) - A242091(74)/73! = 698910239464707491627008*log(2) - 6719341123837706799694347993519215590602682862640625 / 13870107447311829845887261506 = 0.9870045330... (End)
%t Binomial[Range[74,90],74] (* _Harvey P. Dale_, Jul 25 2017 *)
%o (Sage) [binomial(n, 74) for n in range(74,90)] # _Zerinvary Lajos_, May 23 2009
%o (PARI) for(n=74, 90, print1(binomial(n,74), ", ")) \\ _G. C. Greubel_, Nov 09 2018
%o (Magma) [Binomial(n,74): n in [74..90]]; // _G. C. Greubel_, Nov 09 2018
%Y Cf. A001787, A242091.
%K nonn
%O 74,2
%A _N. J. A. Sloane_
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