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A007009 Number of 3-voter voting schemes with n linearly ranked choices.
(Formerly M3435)
+0
2
1, 4, 12, 27, 54, 96, 160, 250, 375, 540, 756, 1029, 1372, 1792, 2304, 2916, 3645, 4500, 5500, 6655, 7986, 9504, 11232, 13182, 15379, 17836, 20580, 23625, 27000, 30720, 34816, 39304, 44217, 49572, 55404, 61731, 68590, 76000, 84000, 92610 (list; graph; listen)
OFFSET

1,2

LINKS

D. E. Loeb (daniel.loeb(AT)verizon.net), On Games, Voting Schemes, and Distributive Lattices. LaBRI Report 625-93, University of Bordeaux I, 1993.

FORMULA

G.f.: (1 - x^3 ) / (1 - x)^4 (1 - x^2 )^2.

a(n) = (1/2)*Sum_{k=1..n+1} k*floor(k/2)*ceil(k/2). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 29 2006

CROSSREFS

A006009/4.

Sequence in context: A047732 A104385 A062479 this_sequence A104384 A013697 A064444

Adjacent sequences: A007006 A007007 A007008 this_sequence A007010 A007011 A007012

KEYWORD

nonn

AUTHOR

daniel.loeb(AT)verizon.net (Daniel LOEB)

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 08 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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