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A017754
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Binomial coefficients C(n,90).
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2
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1, 91, 4186, 129766, 3049501, 57940519, 927048304, 12846240784, 157366449604, 1731030945644, 17310309456440, 158940114100040, 1350990969850340, 10704005376506540, 79515468511191440, 556608279578340080
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OFFSET
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90,2
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LINKS
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FORMULA
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G.f.: x^90/(1-x)^91.
E.g.f.: x^90*exp(x)/90!. (End)
Sum_{n>=90} 1/a(n) = 90/89.
Sum_{n>=90} (-1)^n/a(n) = A001787(90)*log(2) - A242091(90)/89! = 55707301767842112370460590080*log(2) - 19273610318617028543535699053216921237020997586282137829762590933 / 499143579823256566183661289628524510 = 0.9892424860... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 90) for n in range(90, 106)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=90, 110, print1(binomial(n, 90), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 90): n in [90..110]]; // G. C. Greubel, Nov 12 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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