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A220191
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Majority value maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..2 n X 2 array.
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2
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2, 6, 25, 88, 297, 1009, 3464, 11908, 40900, 140420, 482098, 1655276, 5683418, 19514012, 67001232, 230048192, 789868912, 2712009916, 9311668340, 31971552436, 109774116312, 376908710416, 1294113595256, 4443330573456, 15256146488528
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + 8*a(n-3) + 2*a(n-4) + 16*a(n-5) + 2*a(n-6) + 6*a(n-7) for n>10.
Empirical g.f.: x*(2 + 2*x + 9*x^2 + 10*x^3 + 19*x^4 - 5*x^5 - 2*x^6 - 14*x^7 - 4*x^8 - 4*x^9) / (1 - 2*x - 2*x^2 - 8*x^3 - 2*x^4 - 16*x^5 - 2*x^6 - 6*x^7). - Colin Barker, Mar 13 2018
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EXAMPLE
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Some solutions for n=3:
..1..0....1..0....1..1....1..1....1..1....0..0....0..1....1..1....0..0....1..1
..0..0....1..1....0..1....1..1....1..1....0..0....1..1....1..1....1..1....0..1
..0..0....1..0....1..1....0..0....1..0....1..0....1..1....0..1....1..1....0..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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