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A230275
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T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero
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8
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0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 8, 28, 8, 0, 0, 30, 258, 258, 30, 0, 0, 108, 2318, 5734, 2318, 108, 0, 0, 386, 19996, 115630, 115630, 19996, 386, 0, 0, 1376, 173042, 2348840, 5524854, 2348840, 173042, 1376, 0, 0, 4902, 1495602, 47524048, 261026756
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OFFSET
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1,8
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COMMENTS
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Table starts
.0....0.......0.........0............0...............0..................0
.0....0.......2.........8...........30.............108................386
.0....2......28.......258.........2318...........19996.............173042
.0....8.....258......5734.......115630.........2348840...........47524048
.0...30....2318....115630......5524854.......261026756........12303458948
.0..108...19996...2348840....261026756.....28716109350......3159756711522
.0..386..173042..47524048..12303458948...3159756711522....810027275568580
.0.1376.1495602.960953664.580318201510.347321368287746.207640367754692812
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3)
k=3: [order 10]
k=4: [order 34]
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..0..1....0..1..2..1....0..1..2..0....0..1..2..0....0..1..2..0
..1..2..0..2....2..1..0..2....2..2..0..1....2..0..1..1....2..0..2..1
..0..2..1..0....2..0..0..1....1..1..0..2....1..2..0..2....2..0..1..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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