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%I #22 Sep 08 2022 08:44:43
%S 1,68,2346,54740,971635,13991544,170230452,1799579064,16871053725,
%T 142466675900,1096993404430,7778680504140,51209646652255,
%U 315136287090800,1823288518168200,9967310565986160,51705423561053205
%N Binomial coefficients C(n,67).
%H Michael De Vlieger, <a href="/A017731/b017731.txt">Table of n, a(n) for n = 67..10000</a>
%F From _G. C. Greubel_, Nov 03 2018: (Start)
%F G.f.: x^67/(1-x)^68.
%F E.g.f.: x^67*exp(x)/67!. (End)
%F From _Amiram Eldar_, Dec 17 2020: (Start)
%F Sum_{n>=67} 1/a(n) = 67/66.
%F Sum_{n>=67} (-1)^(n+1)/a(n) = A001787(67)*log(2) - A242091(67)/66! = 4943727411754159833088*log(2) - 202565512367285681545811693791632836799528091007 / 59113344205141113375568080 = 0.9857030700... (End)
%t Array[Binomial[#, 67] &, 17, 67]
%o (Sage) [binomial(n, 67) for n in range(67,84)] # _Zerinvary Lajos_, May 23 2009
%o (PARI) for(n=67, 90, print1(binomial(n,67), ", ")) \\ _G. C. Greubel_, Nov 08 2018
%o (Magma) [Binomial(n,67): n in [67..90]]; // _G. C. Greubel_, Nov 08 2018
%Y Cf. A001787, A242091.
%K nonn
%O 67,2
%A _N. J. A. Sloane_
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