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A231221
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Number of (n+2) X (2+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
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1
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2, 4, 8, 17, 45, 103, 264, 676, 1724, 4501, 11679, 30579, 80180, 210494, 553858, 1457853, 3840945, 10124071, 26693522, 70402100, 185706800, 489925347, 1292616577, 3410640207, 8999588762, 23747752874, 62666069376, 165367179091
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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) = 3*a(n-1) + 2*a(n-2) - 6*a(n-3) - 7*a(n-4) + 5*a(n-5) - a(n-6) + 6*a(n-7) + 17*a(n-8) - 20*a(n-9) - 2*a(n-10) + 4*a(n-11).
Empirical g.f.: x*(2 - 2*x - 8*x^2 - 3*x^3 + 16*x^4 + 5*x^6 + 19*x^7 - 34*x^8 - 2*x^9 + 8*x^10) / ((1 - x)*(1 - 2*x - 4*x^2 + 2*x^3 + 9*x^4 + 4*x^5 + 5*x^6 - x^7 - 18*x^8 + 2*x^9 + 4*x^10)). - Colin Barker, Sep 27 2018
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EXAMPLE
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Some solutions for n=5:
..0..0..1..1....0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0
..0..0..1..1....0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0
..1..1..0..0....0..0..1..1....0..0..1..1....0..0..1..1....1..1..1..1
..1..1..0..0....1..1..1..1....1..1..0..0....1..1..1..1....1..1..1..1
..1..1..0..0....1..1..0..0....1..1..0..0....1..1..2..2....1..1..1..1
..0..0..1..1....0..0..0..0....1..1..0..0....2..2..2..2....0..0..0..0
..0..0..1..1....0..0..0..0....1..1..0..0....2..2..2..2....0..0..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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