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A017762
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Binomial coefficients C(n,98).
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5
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1, 99, 4950, 166650, 4249575, 87541245, 1517381580, 22760723700, 301579589025, 3585446225075, 38722819230810, 383707936014390, 3517322746798575, 30032524991895525, 240260199935164200, 1809960172844903640, 12895966231519938435, 87237418624987818825
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OFFSET
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98,2
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LINKS
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FORMULA
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G.f.: x^98/(1-x)^99.
E.g.f.: x^98*exp(x)/98!. (End)
Sum_{n>=98} 1/a(n) = 98/97.
Sum_{n>=98} (-1)^n/a(n) = A001787(98)*log(2) - A242091(98)/97! = 15528719852795810168334614265856*log(2) - 1914409165727592211172313915606799843601351282016393511620277508464529 / 177858100075797135623810737079878325400 = 0.9900952340... (End)
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MAPLE
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 98) for n in range(98, 113)] # Zerinvary Lajos, May 23 2009
(Magma) [Binomial(n, 98): n in [98..115]]; // G. C. Greubel, Nov 12 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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