A017773 Binomial coefficients C(57,n).

1, 57, 1596, 29260, 395010, 4187106, 36288252, 264385836, 1652411475, 8996462475, 43183019880, 184509266760, 707285522580, 2448296039700, 7694644696200, 22057981462440, 57902201338905, 139646485582065, 310325523515700, 636983969321700

Offset

0,2

Comments

Row 57 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..57 (full sequence)

Formula

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

G.f.: (1+x)^57.

E.g.f.: 1F1(-57; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(57, n), n=0..57); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[57, Range[0, 57]] (* G. C. Greubel, Nov 13 2018 *)

Prog

(Sage) [binomial(57, n) for n in range(58)] # Zerinvary Lajos, May 28 2009
(PARI) vector(57, n, n--; binomial(57, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(57, n): n in [0..57]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017772, A017774-A017816.

Sequence in context: A332911 A179466 A345457 * A017720 A009702 A282932

Adjacent sequences: A017770 A017771 A017772 * A017774 A017775 A017776

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved