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Binomial coefficients C(n,92).
2

%I #22 Sep 08 2022 08:44:43

%S 1,93,4371,138415,3321960,64446024,1052618392,14887031544,

%T 186087894300,2088319702700,21300860967540,199453516332420,

%U 1728597141547640,13961746143269400,105710363656182600

%N Binomial coefficients C(n,92).

%H Michael De Vlieger, <a href="/A017756/b017756.txt">Table of n, a(n) for n = 92..10000</a>

%F From _G. C. Greubel_, Nov 12 2018: (Start)

%F G.f.: x^92/(1-x)^93.

%F E.g.f.: x^92*exp(x)/92!. (End)

%F From _Amiram Eldar_, Dec 20 2020: (Start)

%F Sum_{n>=92} 1/a(n) = 92/91.

%F Sum_{n>=92} (-1)^n/a(n) = A001787(92)*log(2) - A242091(92)/91! = 227780967228509970581438857216*log(2) - 77094441274468114174142796214359630593269987993501692756181777652 / 488292632435794466918799087680078325 = 0.9894691541... (End)

%t Array[Binomial[#, 92] &, 15, 92] (* _Michael De Vlieger_, Jul 06 2018 *)

%o (Sage) [binomial(n, 92) for n in range(92,107)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) for(n=92, 110, print1(binomial(n,92), ", ")) \\ _G. C. Greubel_, Nov 12 2018

%o (Magma) [Binomial(n,92): n in [92..110]]; // _G. C. Greubel_, Nov 12 2018

%Y Cf. A001787, A242091.

%K nonn

%O 92,2

%A _N. J. A. Sloane_