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A017767 Binomial coefficients C(51,n). 1
1, 51, 1275, 20825, 249900, 2349060, 18009460, 115775100, 636763050, 3042312350, 12777711870, 47626016970, 158753389900, 476260169700, 1292706174900, 3188675231420, 7174519270695, 14771069086725, 27900908274925, 48459472266975, 77535155627160 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 19 06:15 EST 2019. Contains 319304 sequences. (Running on oeis4.)