A017724 Binomial coefficients C(n,60).

1, 61, 1891, 39711, 635376, 8259888, 90858768, 869648208, 7392009768, 56672074888, 396704524216, 2560547383576, 15363284301456, 86270750308176, 456002537343216, 2280012686716080, 10830060261901380

Offset

60,2

Links

G. C. Greubel, Table of n, a(n) for n = 60..10000

Formula

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

G.f.: x^60/(1-x)^61.

E.g.f.: x^60*exp(x)/60!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=60} 1/a(n) = 60/59.

Sum_{n>=60} (-1)^n/a(n) = A001787(60)*log(2) - A242091(60)/59! = 34587645138205409280*log(2) - 96803466195829421764873254519753705481420 / 4037796735323846542047 = 0.9841116589... (End)

Mathematica

Table[Binomial[n, 60], {n, 60, 5!}] (* Vladimir Joseph Stephan Orlovsky, Sep 25 2008 *)

Prog

(Sage) [binomial(n, 60) for n in range(60, 77)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=60, 80, print1(binomial(n, 60), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 60): n in [60..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A242382 A017777 A113054 * A009841 A038650 A224441

Adjacent sequences: A017721 A017722 A017723 * A017725 A017726 A017727

Keyword

nonn

Author

N. J. A. Sloane

Status

approved