A017772 Binomial coefficients C(56,n).

1, 56, 1540, 27720, 367290, 3819816, 32468436, 231917400, 1420494075, 7575968400, 35607051480, 148902215280, 558383307300, 1889912732400, 5804731963800, 16253249498640, 41648951840265, 97997533741800, 212327989773900, 424655979547800, 785613562163430

Offset

0,2

Comments

Row 56 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..56 (full sequence)

Formula

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

G.f.: (1+x)^56.

E.g.f.: 1F1(-56; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(56, n), n=0..56); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[56, Range[0, 20]] (* Harvey P. Dale, Sep 05 2013 *)

Prog

(Sage) [binomial(56, n) for n in range(57)] # Zerinvary Lajos, May 28 2009
(PARI) vector(56, n, n--; binomial(56, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(56, n): n in [0..56]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017771, A017773-A017816.

Sequence in context: A030649 A319310 A022081 * A233981 A035723 A035799

Adjacent sequences: A017769 A017770 A017771 * A017773 A017774 A017775

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved