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A267997
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T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.
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4
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4, 16, 16, 64, 256, 64, 250, 4096, 4096, 250, 964, 62500, 262144, 62500, 964, 3674, 929296, 15625000, 15625000, 929296, 3674, 13868, 13498276, 895841344, 3552627426, 895841344, 13498276, 13868, 51917, 192321424, 49592666024
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OFFSET
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1,1
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COMMENTS
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Table starts
......4..........16..............64...............250................964
.....16.........256............4096.............62500.............929296
.....64........4096..........262144..........15625000..........895841344
....250.......62500........15625000........3552627426.......766970396055
....964......929296.......895841344......766970396055....615504325372174
...3674....13498276.....49592666024...158016399692284.465926430628469626
..13868...192321424...2667113508032.31323853192497584
..51917..2695374889.139935778112213
.192980.37241280400
.712868
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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 40]
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EXAMPLE
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Some solutions for n=2 k=4
..3..1..2..0....0..1..3..3....1..2..1..1....3..2..3..1....2..2..0..1
..3..0..3..0....1..0..2..0....0..3..3..3....3..2..0..3....2..1..0..2
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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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