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A017757 Binomial coefficients C(n,93). 2

%I #26 Sep 08 2022 08:44:43

%S 1,94,4465,142880,3464840,67910864,1120529256,16007560800,

%T 202095455100,2290415157800,23591276125340,223044792457760,

%U 1951641934005400,15913388077274800,121623751733457400,875691012480893280,5965645022526085470,38601232498698200100

%N Binomial coefficients C(n,93).

%H Michael De Vlieger, <a href="/A017757/b017757.txt">Table of n, a(n) for n = 93..10000</a>

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

%F G.f.: x^93/(1-x)^94.

%F E.g.f.: x^93*exp(x)/93!. (End)

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

%F Sum_{n>=93} 1/a(n) = 93/92.

%F Sum_{n>=93} (-1)^(n+1)/a(n) = A001787(93)*log(2) - A242091(93)/92! = 460513694614161462262474211328*log(2) - 154188882548936228348285592429207553818975770453922184600043633629 / 483042174022506354371285118995346300 = 0.9895789421... (End)

%t Table[Binomial[n, 93], {n, 93, 120}] (* _Vladimir Joseph Stephan Orlovsky_, Jul 15 2011 *)

%o (Sage) [binomial(n, 93) for n in range(93,108)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) for(n=93, 110, print1(binomial(n,93), ", ")) \\ _G. C. Greubel_, Nov 12 2018

%o (Magma) [Binomial(n,93): n in [93..110]]; // _G. C. Greubel_, Nov 12 2018

%Y Cf. A017758, A017759, A017760, A001787, A242091.

%K nonn

%O 93,2

%A _N. J. A. Sloane_

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Last modified April 24 19:06 EDT 2024. Contains 371962 sequences. (Running on oeis4.)