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

0,2

Comments

Row 52 of A007318.

Links

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

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)

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 *)

Prog

(Sage) [binomial(52, n) for n in range(53)] # Zerinvary Lajos, May 23 2009
(PARI) vector(52, n, n--; binomial(52, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(52, n): n in [0..52]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017816.

Sequence in context: A216939 A130000 A160153 * A035721 A035798 A017715

Adjacent sequences: A017765 A017766 A017767 * A017769 A017770 A017771

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved