A017767 Binomial coefficients C(51,n).

1, 51, 1275, 20825, 249900, 2349060, 18009460, 115775100, 636763050, 3042312350, 12777711870, 47626016970, 158753389900, 476260169700, 1292706174900, 3188675231420, 7174519270695, 14771069086725, 27900908274925, 48459472266975, 77535155627160

Offset

0,2

Comments

Row 51 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..51 (full sequence)

Formula

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

G.f.: (1+x)^51.

E.g.f.: 1F1(-51; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(51, n), n=0..51); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[51, Range[0, 20]] (* Harvey P. Dale, Dec 31 2012 *)

Prog

(Sage) [binomial(51, n) for n in range(52)] # Zerinvary Lajos, May 21 2009
(PARI) vector(51, n, n--; binomial(51, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(51, n): n in [0..51]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017816.

Sequence in context: A153221 A172639 A231648 * A017714 A202044 A238319

Adjacent sequences: A017764 A017765 A017766 * A017768 A017769 A017770

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved