login
Binomial coefficients C(n,62).
2

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

%S 1,63,2016,43680,720720,9657648,109453344,1078897248,9440350920,

%T 74473879480,536211932256,3558497368608,21944067106416,

%U 126600387152400,687259244541600,3527930788646880,17198662594653540

%N Binomial coefficients C(n,62).

%H Michael De Vlieger, <a href="/A017726/b017726.txt">Table of n, a(n) for n = 62..10000</a>

%F From _G. C. Greubel_, Nov 03 2018: (Start)

%F G.f.: x^62/(1-x)^63.

%F E.g.f.: x^62*exp(x)/62!. (End)

%F From _Amiram Eldar_, Dec 17 2020: (Start)

%F Sum_{n>=62} 1/a(n) = 62/61.

%F Sum_{n>=62} (-1)^n/a(n) = A001787(62)*log(2) - A242091(62)/61! = 142962266571249025024*log(2) - 11810022875891189455681976554324422104059517 / 119180129445849018902355 = 0.9846014143... (End)

%t With[{x = 62}, Binomial[Range[x, x + 16], x]] (* _Michael De Vlieger_, Jan 31 2018 *)

%o (Sage) [binomial(n, 62) for n in range(62,79)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) for(n=62, 80, print1(binomial(n,62), ", ")) \\ _G. C. Greubel_, Nov 03 2018

%o (Magma) [Binomial(n,62): n in [62..80]]; // _G. C. Greubel_, Nov 03 2018

%Y Cf. A001787, A242091.

%K nonn

%O 62,2

%A _N. J. A. Sloane_