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A267933
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T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.
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6
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4, 16, 16, 60, 256, 60, 222, 3600, 3600, 222, 804, 49284, 178068, 49284, 804, 2872, 646416, 8459154, 8459154, 646416, 2872, 10132, 8248384, 376812420, 1376175262, 376812420, 8248384, 10132, 35383, 102657424, 16109362560, 205495778969
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OFFSET
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1,1
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COMMENTS
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Table starts
......4..........16.............60..............222...............804
.....16.........256...........3600............49284............646416
.....60........3600.........178068..........8459154.........376812420
....222.......49284........8459154.......1376175262......205495778969
....804......646416......376812420.....205495778969...100687082932722
...2872.....8248384....16109362560...29057389299071.46100277695598540
..10132...102657424...663451196118.3909876972823819
..35383..1251956689.26507885328672
.122480.15001350400
.420752
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 8]
k=2: [order 21]
k=3: [order 81]
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EXAMPLE
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Some solutions for n=3 k=4
..0..2..0..0....2..2..3..2....2..0..0..2....2..2..1..3....0..2..3..0
..2..1..2..3....2..1..3..1....0..2..0..3....2..1..1..2....2..3..2..1
..0..0..2..3....0..0..1..3....0..0..3..2....0..2..0..3....0..0..3..3
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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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