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A231850
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Number of n X 3 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).
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1
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3, 34, 656, 12404, 234336, 4426924, 83630516, 1579892344, 29846280396, 563836173564, 10651619780176, 201223350436284, 3801378343993156, 71813123491132504, 1356645994919661436, 25628858153744306924
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OFFSET
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1,1
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 21*a(n-1) - 41*a(n-2) + 22*a(n-3) for n>4.
Empirical g.f.: x*(3 - 29*x + 65*x^2 - 44*x^3) / (1 - 21*x + 41*x^2 - 22*x^3). - Colin Barker, Oct 01 2018
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EXAMPLE
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Some solutions for n=5:
..0..0..1....0..0..1....0..0..1....0..0..2....0..0..2....0..0..0....0..0..0
..0..2..2....0..1..2....0..1..2....0..2..1....0..2..2....1..1..0....1..2..2
..0..2..2....0..2..0....0..2..1....0..1..1....2..0..1....0..2..2....0..2..2
..0..1..2....2..0..1....2..0..1....2..0..2....1..1..0....1..0..0....2..0..1
..0..0..1....1..2..2....2..2..2....2..2..0....1..0..0....1..0..0....0..2..2
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CROSSREFS
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Column 3 of A231855.
Sequence in context: A332679 A256512 A277391 * A109521 A274744 A222869
Adjacent sequences: A231847 A231848 A231849 * A231851 A231852 A231853
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Nov 14 2013
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STATUS
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approved
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