A017775 Binomial coefficients C(59,n).

1, 59, 1711, 32509, 455126, 5006386, 45057474, 341149446, 2217471399, 12565671261, 62828356305, 279871768995, 1119487075980, 4047376351620, 13298522298180, 39895566894540, 109712808959985, 277508869722315, 647520696018735, 1397281501935165

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 59 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..59 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017774, A017776-A017816.

Programs

Magma

[Binomial(59,n): n in [0..59]]; // G. C. Greubel, Nov 13 2018

Maple

seq(binomial(59,n), n=0..59); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[59,#]&/@Range[0,20]  (* Harvey P. Dale, Mar 06 2011 *)

PARI

vector(59, n, n--; binomial(59,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(59, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

Formula

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

G.f.: (1+x)^59.

E.g.f.: 1F1(-59; 1; -x), where 1F1 is the confluent hypergeometric function. (End)