%I #26 Sep 22 2025 16:00:25

%S 1,72,2628,64824,1215450,18474840,237093780,2641902120,26088783435,

%T 231900297200,1878392407320,14002561581840,96851050941060,

%U 625806790696080,3799541229226200,21784036380896880

%N Binomial coefficients C(n,71).

%H Michael De Vlieger, <a href="/A017735/b017735.txt">Table of n, a(n) for n = 71..10000</a>

%F From _G. C. Greubel_, Nov 09 2018: (Start)

%F G.f.: x^71/(1-x)^72.

%F E.g.f.: x^71*exp(x)/71!. (End)

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

%F Sum_{n>=71} 1/a(n) = 71/70.

%F Sum_{n>=71} (-1)^(n+1)/a(n) = A001787(71)*log(2) - A242091(71)/70! = 83822005070936202543104*log(2) - 5752860551230913355902609244829259806879158448759 / 99014851543611364904076534 = 0.9864769747... (End)

%t Binomial[Range[71,90],71] (* _Harvey P. Dale_, Jul 20 2011 *)

%o (SageMath) [binomial(n, 71) for n in range(71,87)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) for(n=71, 90, print1(binomial(n,71), ", ")) \\ _G. C. Greubel_, Nov 09 2018

%o (Magma) [Binomial(n,71): n in [71..90]]; // _G. C. Greubel_, Nov 09 2018

%Y Cf. A001787, A242091.

%K nonn

%O 71,2

%A _N. J. A. Sloane_