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

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 56 of A007318.

Links

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

Crossrefs

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

Programs

Magma

[Binomial(56,n): n in [0..56]]; // G. C. Greubel, Nov 13 2018

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 *)

PARI

vector(56, n, n--; binomial(56,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(56, n) for n in range(57)] # Zerinvary Lajos, May 28 2009

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)