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

0,2

Comments

Row 50 of A007318.

Links

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

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)

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 *)

Prog

(Sage) [binomial(50, n) for n in range(51)] # Zerinvary Lajos, May 21 2009
(PARI) vector(50, n, n--; binomial(50, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(50, n): n in [0..50]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017816.

Sequence in context: A160152 A318760 A250520 * A187459 A035720 A161695

Adjacent sequences: A017763 A017764 A017765 * A017767 A017768 A017769

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved