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A233167
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Number of n X 7 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs).
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1
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1248, 32768, 4325376, 587202560, 83751862272, 12919261626368, 2216615441596416, 427841964600197120, 91657259616244334592, 21176862196618565255168, 5128490000396434702073856
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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) = 384*a(n-1) - 32768*a(n-2) for n>3.
G.f.: 32*x*(39 - 13952*x + 1019904*x^2) / ((1 - 128*x)*(1 - 256*x)).
a(n) = 2^(7*n-6) * (2^n+124) for n>1.
(End)
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EXAMPLE
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Some solutions for n=2:
..0..1..2..1..2..1..2....0..1..2..6..7..6..0....0..1..2..6..7..1..5
..2..3..0..3..0..4..0....5..3..7..4..2..3..5....5..3..7..3..2..4..7
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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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