A017768 Binomial coefficients C(52,n).

1, 52, 1326, 22100, 270725, 2598960, 20358520, 133784560, 752538150, 3679075400, 15820024220, 60403728840, 206379406870, 635013559600, 1768966344600, 4481381406320, 10363194502115, 21945588357420, 42671977361650, 76360380541900, 125994627894135

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 52 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..52 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017816.

Programs

Magma

[Binomial(52,n): n in [0..52]]; // G. C. Greubel, Nov 13 2018

Maple

seq(binomial(52,n), n=0..52); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[52,Range[0,50]] (* Harvey P. Dale, Jun 02 2017 *)

PARI

vector(52, n, n--; binomial(52,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(52, n) for n in range(53)] # Zerinvary Lajos, May 23 2009

Formula

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

G.f.: (1+x)^52.

E.g.f.: 1F1(-52; 1; -x), where 1F1 is the confluent hypergeometric function. (End)