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A231950
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Number of (n+1)X(1+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero
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8
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4, 18, 64, 236, 888, 3336, 12512, 46928, 176032, 660320, 2476928, 9291200, 34852224, 130734208, 490397184, 1839529216, 6900259328, 25883567616, 97091868672, 364201376768, 1366156040192, 5124588881920, 19222848954368, 72106842214400
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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) = 4*a(n-1) -2*a(n-2) +4*a(n-3)
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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..1
..0..0....0..0....1..0....0..1....0..0....0..1....0..1....1..0....1..0....0..1
..0..1....0..0....1..0....1..0....0..0....0..1....1..1....1..1....0..1....0..0
..0..1....1..0....1..0....1..0....1..0....0..0....0..1....0..1....0..1....1..0
..1..1....0..1....0..0....1..0....0..1....0..0....0..1....0..1....1..0....0..1
..0..1....1..0....0..1....0..1....0..1....1..1....1..0....1..1....0..0....0..1
..1..0....0..1....1..1....1..0....1..0....0..1....1..0....0..0....1..0....1..0
..0..1....1..1....0..0....0..0....0..0....0..1....0..1....1..1....1..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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