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A017738
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Binomial coefficients C(n,74).
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2
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1, 75, 2850, 73150, 1426425, 22537515, 300500200, 3477216600, 35641470150, 328693558050, 2761025887620, 21335200040700, 152902266958350, 1023269017336650, 6431976680401800, 38163061637050680
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OFFSET
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74,2
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LINKS
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FORMULA
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G.f.: x^74/(1-x)^75.
E.g.f.: x^74*exp(x)/74!. (End)
Sum_{n>=74} 1/a(n) = 74/73.
Sum_{n>=74} (-1)^n/a(n) = A001787(74)*log(2) - A242091(74)/73! = 698910239464707491627008*log(2) - 6719341123837706799694347993519215590602682862640625 / 13870107447311829845887261506 = 0.9870045330... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 74) for n in range(74, 90)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=74, 90, print1(binomial(n, 74), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 74): n in [74..90]]; // G. C. Greubel, Nov 09 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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