A017726 Binomial coefficients C(n,62).

1, 63, 2016, 43680, 720720, 9657648, 109453344, 1078897248, 9440350920, 74473879480, 536211932256, 3558497368608, 21944067106416, 126600387152400, 687259244541600, 3527930788646880, 17198662594653540

Offset: 62

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 62..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,62): n in [62..80]]; // G. C. Greubel, Nov 03 2018

Mathematica

With[{x = 62}, Binomial[Range[x, x + 16], x]] (* Michael De Vlieger, Jan 31 2018 *)

PARI

for(n=62, 80, print1(binomial(n,62), ", ")) \\ G. C. Greubel, Nov 03 2018

Sage

[binomial(n, 62) for n in range(62,79)] # Zerinvary Lajos, May 23 2009

Formula

From G. C. Greubel, Nov 03 2018: (Start)

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

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

From Amiram Eldar, Dec 17 2020: (Start)

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

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