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A232079
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Number of (3+1)X(n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero
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1
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34, 602, 6624, 91636, 1313477, 18480458, 259478100, 3648082844, 51295928745, 721205855171, 10139874360108, 142563684195350, 2004404663282803, 28181342842446164, 396221424711381995, 5570757356145256130
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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) = 9*a(n-1) +51*a(n-2) +222*a(n-3) +815*a(n-4) +770*a(n-5) -1668*a(n-6) -4457*a(n-7) -7039*a(n-8) -6459*a(n-9) +2910*a(n-10) +4218*a(n-11) +4541*a(n-12) +9610*a(n-13) -285*a(n-14) -4890*a(n-15) -152*a(n-16) -224*a(n-17) +432*a(n-18) +512*a(n-19) -256*a(n-20)
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EXAMPLE
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Some solutions for n=4
..0..1..0..1..0....0..1..1..0..1....0..1..0..0..1....0..0..0..0..1
..1..0..1..0..0....1..0..0..1..1....0..0..1..1..0....0..1..1..1..1
..1..1..1..0..0....1..0..1..1..0....1..0..0..0..0....0..0..1..1..0
..1..0..0..0..0....0..1..1..0..0....0..1..1..0..0....0..0..1..0..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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