A017726 Binomial coefficients C(n,62).

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

Offset

62,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 62) for n in range(62, 79)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=62, 80, print1(binomial(n, 62), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 62): n in [62..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A160896 A017779 A110826 * A240421 A170932 A173191

Adjacent sequences: A017723 A017724 A017725 * A017727 A017728 A017729

Keyword

nonn

Author

N. J. A. Sloane

Status

approved