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A017730
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Binomial coefficients C(n,66).
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2
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1, 67, 2278, 52394, 916895, 13019909, 156238908, 1629348612, 15071474661, 125595622175, 954526728530, 6681687099710, 43430966148115, 263926640438545, 1508152231077400, 8144022047817960, 41738112995067045
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OFFSET
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66,2
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LINKS
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FORMULA
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G.f.: x^66/(1-x)^67.
E.g.f.: x^66*exp(x)/66!. (End)
Sum_{n>=66} 1/a(n) = 66/65.
Sum_{n>=66} (-1)^n/a(n) = A001787(66)*log(2) - A242091(66)/65! = 2434970217729660813312*log(2) - 3023365856228144500682860967025333056122272941 / 1791313460761851920471760 = 0.9854955419... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 66) for n in range(66, 83)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=66, 90, print1(binomial(n, 66), ", ")) \\ G. C. Greubel, Nov 08 2018
(Magma) [Binomial(n, 66): n in [66..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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