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 A007010 Number of 4-voter voting schemes with n linearly ranked choices. (Formerly M4851) 1
 1, 12, 81, 372, 1332, 3984, 10420, 24540, 53145, 107436, 205065, 372792, 649936, 1092672, 1779408, 2817288, 4350105, 6567660, 9716905, 14114892, 20163924, 28368912, 39357396, 53902212, 72947329, 97636812, 129347505, 169725360, 220726080, 284659968, 364241728 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Daniel E. Loeb, On Games, Voting Schemes and Distributive Lattices. LaBRI Report 625-93, University of Bordeaux I, 1993. [broken link] Index entries for linear recurrences with constant coefficients, signature (6,-12,2,27,-36,0,36,-27,-2,12,-6,1). FORMULA G.f.: x*(1+6*x+21*x^2+28*x^3+21*x^4+6*x^5+x^6)/((1+x)^3*(1-x)^9). - Ralf Stephan, Apr 23 2004 From Colin Barker, Jan 07 2016: (Start) a(n) = (n^8+16*n^7+106*n^6+376*n^5+784*n^4+1024*n^3+864*n^2+384*n)/3840 for n even. a(n) = (n^8+16*n^7+106*n^6+376*n^5+784*n^4+1024*n^3+894*n^2+504*n+135)/3840 for n odd. (End) PROG (PARI) Vec(x*(1+6*x+21*x^2+28*x^3+21*x^4+6*x^5+x^6)/((1+x)^3*(1-x)^9) + O(x^100)) \\ Colin Barker, Jan 07 2016 CROSSREFS Sequence in context: A009500 A012195 A147650 * A069996 A183504 A194493 Adjacent sequences:  A007007 A007008 A007009 * A007011 A007012 A007013 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified September 20 08:44 EDT 2018. Contains 315232 sequences. (Running on oeis4.)