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A017729
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Binomial coefficients C(n,65).
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2
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1, 66, 2211, 50116, 864501, 12103014, 143218999, 1473109704, 13442126049, 110524147514, 828931106355, 5727160371180, 36749279048405, 220495674290430, 1244225590638855, 6635869816740560, 33594090947249085
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OFFSET
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65,2
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LINKS
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FORMULA
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G.f.: x^65/(1-x)^66.
E.g.f.: x^65*exp(x)/65!. (End)
Sum_{n>=65} 1/a(n) = 65/64.
Sum_{n>=65} (-1)^(n+1)/a(n) = A001787(65)*log(2) - A242091(65)/64! = 1199038364791120855040*log(2) - 3023365856228144500681042094895944098787640077 / 3637744258777914669265728 = 0.9852818956... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 65) for n in range(65, 82)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=65, 90, print1(binomial(n, 65), ", ")) \\ G. C. Greubel, Nov 08 2018
(Magma) [Binomial(n, 65): n in [65..90]]; // G. C. Greubel, Nov 08 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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