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A268249
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T(n,k)=Number of nXk 0..k arrays with every repeated value in every row greater than, and every column greater than or equal to, the previous repeated value.
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3
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2, 9, 4, 60, 81, 8, 570, 3600, 729, 15, 6960, 324900, 216000, 6084, 28, 104006, 48441600, 185193000, 12067722, 49284, 51, 1837752, 10817248036, 337153536000, 98956027822, 648144348, 386884, 92, 37478718, 3377332413504, 1125058699232216
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OFFSET
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1,1
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COMMENTS
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Table starts
...2........9............60...............570.................6960
...4.......81..........3600............324900.............48441600
...8......729........216000.........185193000.........337153536000
..15.....6084......12067722.......98956027822.....2213773305829075
..28....49284.....648144348....50740994294843.13958709698552890082
..51...386884...33600202086.25094770808231271
..92..2965284.1691726672094
.164.22268961
.290
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)
k=2: [order 15]
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EXAMPLE
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Some solutions for n=2 k=4
..2..3..1..1....3..1..4..3....0..1..0..3....4..0..0..4....0..2..4..3
..1..1..0..4....1..1..3..4....1..0..0..4....0..4..3..1....0..0..1..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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