A017776 Binomial coefficients C(60,n).

1, 60, 1770, 34220, 487635, 5461512, 50063860, 386206920, 2558620845, 14783142660, 75394027566, 342700125300, 1399358844975, 5166863427600, 17345898649800, 53194089192720, 149608375854525, 387221678682300, 925029565741050, 2044802197953900

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 60 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..60 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017775, A017777-A017816.

Programs

Magma

[Binomial(60,n): n in [0..60]]; // G. C. Greubel, Nov 13 2018

Maple

seq(binomial(60,n), n=0..60); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[60, Range[0,60]] (* G. C. Greubel, Nov 13 2018 *)

PARI

vector(60, n, n--; binomial(60,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(60, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

Formula

From G. C. Greubel, Nov 13 2018: (Start)

G.f.: (1+x)^60.

E.g.f.: 1F1(-60; 1; -x), where 1F1 is the confluent hypergeometric function. (End)