A017779 Binomial coefficients C(63,n).

1, 63, 1953, 39711, 595665, 7028847, 67945521, 553270671, 3872894697, 23667689815, 127805525001, 615790256823, 2668424446233, 10468434365991, 37387265592825, 122131734269895, 366395202809685, 1012974972473835, 2588713818544245, 6131164307078475

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 63 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..63 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017778, A017780-A017816.

Programs

Magma

[Binomial(63,n): n in [0..63]]; // G. C. Greubel, Nov 14 2018

Maple

seq(binomial(63,n), n=0..63); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[63, Range[0,63]] (* G. C. Greubel, Nov 14 2018 *)

PARI

vector(63, n, n--; binomial(63,n)) \\ G. C. Greubel, Nov 14 2018

Sage

[binomial(63, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

Formula

From G. C. Greubel, Nov 14 2018: (Start)

G.f.: (1+x)^63.

E.g.f.: 1F1(-63; 1; -x), where 1F1 is the confluent hypergeometric function. (End)