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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
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
KEYWORD
nonn,fini,full,easy
STATUS
approved