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A017744
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Binomial coefficients C(n,80).
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2
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1, 81, 3321, 91881, 1929501, 32801517, 470155077, 5843355957, 64276915527, 635627275767, 5720645481903, 47325339895743, 362827605867363, 2595612872743443, 17427686431277403, 110375347398090219
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OFFSET
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80,2
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LINKS
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FORMULA
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G.f.: x^80/(1-x)^81.
E.g.f.: x^80*exp(x)/80!. (End)
Sum_{n>=80} 1/a(n) = 80/79.
Sum_{n>=80} (-1)^n/a(n) = A001787(80)*log(2) - A242091(80)/79! = 48357032784585166988247040*log(2) - 3397298872212344557925469166982017642113449232981882085888 / 101355810171231196598821163455095 = 0.9879450412... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 80) for n in range(80, 96)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=80, 100, print1(binomial(n, 80), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 80): n in [80..100]]; // 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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