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%I #25 Sep 08 2022 08:44:43
%S 1,100,5050,171700,4421275,91962520,1609344100,24370067800,
%T 325949656825,3911395881900,42634215112710,426342151127100,
%U 3943664897925675,33976189889821200,274236389824985400
%N a(n) = binomial coefficient C(n,99).
%H G. C. Greubel, <a href="/A017763/b017763.txt">Table of n, a(n) for n = 99..10000</a>
%F From _G. C. Greubel_, Nov 12 2018: (Start)
%F G.f.: x^99/(1-x)^100.
%F E.g.f.: x^99*exp(x)/99!. (End)
%F From _Amiram Eldar_, Dec 20 2020: (Start)
%F Sum_{n>=99} 1/a(n) = 99/98.
%F Sum_{n>=99} (-1)^(n+1)/a(n) = A001787(99)*log(2) - A242091(99)/98! = 31374352355648677687043404333056*log(2) - 1914409165727592211172313915606888772651389180584205416988817447627229 / 88030776805192521672391172898121595400 = 0.9901924115... (End)
%t Table[Binomial[n,99],{n,99,5!}] (* _Vladimir Joseph Stephan Orlovsky_, Dec 25 2008 *)
%o (Sage) [binomial(n, 99) for n in range(99,114)] # _Zerinvary Lajos_, May 23 2009
%o (PARI) a(n)=binomial(n,99) \\ _Charles R Greathouse IV_, Jun 28 2012
%o (Magma) [Binomial(n,99): n in [99..120]]; // _G. C. Greubel_, Nov 12 2018
%Y Cf. A001787, A242091.
%K nonn,easy
%O 99,2
%A _N. J. A. Sloane_
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