A017766 Binomial coefficients C(50,n).

1, 50, 1225, 19600, 230300, 2118760, 15890700, 99884400, 536878650, 2505433700, 10272278170, 37353738800, 121399651100, 354860518600, 937845656300, 2250829575120, 4923689695575, 9847379391150, 18053528883775, 30405943383200, 47129212243960

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 50 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..50 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017816.

Programs

Magma

[Binomial(50,n): n in [0..50]]; // G. C. Greubel, Nov 13 2018

Maple

seq(binomial(50,n), n=0..50); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[50,Range[0,50]] (* Harvey P. Dale, Sep 25 2014 *)

PARI

vector(50, n, n--; binomial(50,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(50, n) for n in range(51)] # Zerinvary Lajos, May 21 2009

Formula

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

G.f.: (1+x)^50.

E.g.f.: 1F1(-50; 1; -x), where 1F1 is the confluent hypergeometric function. (End)