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A231357
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Number of (n+1)X(2+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order
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1
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2, 5, 16, 51, 180, 685, 2735, 11243, 47120, 199945, 855484, 3679681, 15882263, 68701955, 297607842, 1290360591, 5597964012, 24294536389, 105460450143, 457862871585, 1988029384006, 8632497563339, 37485816423762, 162782662033991
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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) = 6*a(n-1) +2*a(n-2) -55*a(n-3) +50*a(n-4) +98*a(n-5) -140*a(n-6) +6*a(n-7) +73*a(n-8) -20*a(n-9) -71*a(n-10) +19*a(n-11) +24*a(n-12) +9*a(n-13) for n>14
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EXAMPLE
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Some solutions for n=7
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0
..0..0..0....0..0..1....0..0..0....0..0..0....0..0..0....0..1..1....0..0..1
..0..1..1....0..1..1....0..1..1....0..0..0....1..1..1....1..1..1....0..1..1
..1..1..2....1..1..1....1..1..1....0..0..0....1..1..1....1..1..1....1..1..2
..2..2..2....2..2..2....1..1..2....0..1..1....0..0..0....2..2..2....2..2..2
..2..2..2....2..2..2....1..2..2....1..1..1....0..0..0....2..2..1....2..2..3
..3..3..2....2..2..1....2..2..1....2..2..1....2..2..0....1..1..1....3..3..3
..3..3..2....2..1..1....2..1..1....2..2..1....2..2..0....1..1..1....3..3..3
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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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