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A232138
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Number of (1+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.
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1
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6, 36, 200, 1140, 6468, 36752, 208772, 1186044, 6737864, 38277700, 217454804, 1235356496, 7018035732, 39869322348, 226496831848, 1286724024020, 7309853741220, 41527134586384, 235914830581476, 1340227488431516
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 6*a(n-1) - 11*a(n-3) + 4*a(n-4).
Empirical g.f.: 2*x*(3 - 8*x^2 + 3*x^3) / (1 - 6*x + 11*x^3 - 4*x^4). - Colin Barker, Oct 03 2018
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EXAMPLE
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Some solutions for n=6:
..0..1..2..0..2..1..0....0..1..0..1..2..0..1....0..1..2..2..0..1..0
..2..1..1..2..1..2..1....2..0..1..0..1..0..1....2..0..0..1..2..2..1
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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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