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

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,60): n in [60..80]]; // G. C. Greubel, Nov 03 2018

Mathematica

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

PARI

for(n=60, 80, print1(binomial(n,60), ", ")) \\ G. C. Greubel, Nov 03 2018

Sage

[binomial(n, 60) for n in range(60,77)] # Zerinvary Lajos, May 23 2009

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)