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%I #22 Sep 08 2022 08:44:43
%S 1,83,3486,98770,2123555,36949857,541931236,6890268572,77515521435,
%T 783768050065,7210666060598,60962903966874,477542747740513,
%U 3489735464257595,23929614612052080,154744841157936784
%N Binomial coefficients C(n,82).
%H Michael De Vlieger, <a href="/A017746/b017746.txt">Table of n, a(n) for n = 82..10000</a>
%F From _G. C. Greubel_, Nov 09 2018: (Start)
%F G.f.: x^82/(1-x)^83.
%F E.g.f.: x^82*exp(x)/82!. (End)
%F From _Amiram Eldar_, Dec 18 2020: (Start)
%F Sum_{n>=82} 1/a(n) = 82/81.
%F Sum_{n>=82} (-1)^n/a(n) = A001787(82)*log(2) - A242091(82)/81! = 198263834416799184651812864*log(2) - 20383793233274067347552815456116292175605687562978728740013 / 148325575860338336486079751397700 = 0.9882289899... (End)
%t Array[Binomial[#, 82] &, 16, 82] (* _Michael De Vlieger_, Jul 06 2018 *)
%o (Sage) [binomial(n, 82) for n in range(82,98)] # _Zerinvary Lajos_, May 23 2009
%o (PARI) for(n=82, 100, print1(binomial(n,82), ", ")) \\ _G. C. Greubel_, Nov 09 2018
%o (Magma) [Binomial(n,82): n in [82..100]]; // _G. C. Greubel_, Nov 09 2018
%Y Cf. A001787, A242091.
%K nonn
%O 82,2
%A _N. J. A. Sloane_
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