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A268092
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T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero.
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11
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1, 3, 3, 9, 27, 8, 26, 243, 192, 21, 74, 2028, 4608, 1323, 53, 208, 16428, 98830, 83349, 8427, 132, 580, 129792, 2028304, 4523326, 1339893, 52272, 323, 1608, 1009200, 40109966, 231625525, 176935858, 20699712, 312987, 783, 4440, 7756992, 774613334
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OFFSET
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1,2
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COMMENTS
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Table starts
....1........3............9..............26................74...............208
....3.......27..........243............2028.............16428............129792
....8......192.........4608...........98830...........2028304..........40109966
...21.....1323........83349.........4523326.........231625525.......11291781118
...53.....8427......1339893.......176935858.......21743763815.....2513690254246
..132....52272.....20699712......6564461764.....1911026997488...517166705601727
..323...312987....303284403....226972598646...153835391484442.95786441193596382
..783..1839267...4320438183...7559736791208.11819612140199748
.1880.10603200..59802048000.242339515066412
.4485.60345675.811951057125
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3)
k=2: a(n) = 10*a(n-1) -8*a(n-2) -163*a(n-3) +306*a(n-4) +684*a(n-5) -1296*a(n-6)
k=3: [order 10]
Empirical for row n:
n=1: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3)
n=2: a(n) = 14*a(n-1) -44*a(n-2) -88*a(n-3) +352*a(n-4) +320*a(n-5) -256*a(n-6)
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..2..1....0..1..1..2....0..1..1..0....0..0..2..2....0..0..0..1
..1..1..0..1....0..2..0..2....1..2..0..2....2..0..0..1....0..1..0..1
..2..0..0..0....2..2..1..0....1..1..0..2....2..1..2..2....2..0..2..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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