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A267966
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T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.
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7
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3, 9, 9, 24, 81, 24, 63, 576, 576, 63, 159, 3969, 9750, 3969, 159, 394, 25281, 157182, 157182, 25281, 394, 957, 155236, 2253828, 5843562, 2253828, 155236, 957, 2292, 915849, 30649446, 185900905, 185900905, 30649446, 915849, 2292, 5419, 5253264
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OFFSET
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1,1
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COMMENTS
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Table starts
.....3.........9...........24.............63..............159...............394
.....9........81..........576...........3969............25281............155236
....24.......576.........9750.........157182..........2253828..........30649446
....63......3969.......157182........5843562........185900905........5520230601
...159.....25281......2253828......185900905......12628574785......788980366553
...394....155236.....30649446.....5520230601.....788980366553...102223499117744
...957....915849....392792334...151596664089...44750006935212.11810588915957470
..2292...5253264...4834114074..3948855568663.2380009487628460
..5419..29365561..57285557832.97889332200024
.12678.160731684.658558589712
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 6*a(n-1) -9*a(n-2) -8*a(n-3) +24*a(n-4) -16*a(n-6)
k=2: [order 15]
k=3: [order 60]
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..1..2....2..0..2..0....2..0..1..0....2..0..1..1....0..1..2..1
..0..1..1..0....1..2..0..1....2..1..0..2....2..0..1..0....2..0..1..2
..2..0..2..1....2..1..0..0....0..2..2..1....0..1..2..2....1..0..0..1
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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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