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A017763
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a(n) = binomial coefficient C(n,99).
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6
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1, 100, 5050, 171700, 4421275, 91962520, 1609344100, 24370067800, 325949656825, 3911395881900, 42634215112710, 426342151127100, 3943664897925675, 33976189889821200, 274236389824985400
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OFFSET
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99,2
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LINKS
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FORMULA
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G.f.: x^99/(1-x)^100.
E.g.f.: x^99*exp(x)/99!. (End)
Sum_{n>=99} 1/a(n) = 99/98.
Sum_{n>=99} (-1)^(n+1)/a(n) = A001787(99)*log(2) - A242091(99)/98! = 31374352355648677687043404333056*log(2) - 1914409165727592211172313915606888772651389180584205416988817447627229 / 88030776805192521672391172898121595400 = 0.9901924115... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 99) for n in range(99, 114)] # Zerinvary Lajos, May 23 2009
(Magma) [Binomial(n, 99): n in [99..120]]; // 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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