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A268019
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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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7
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3, 9, 9, 27, 81, 27, 78, 729, 729, 78, 222, 6084, 19683, 6084, 222, 622, 49284, 474552, 474552, 49284, 622, 1722, 386884, 10941048, 31831908, 10941048, 386884, 1722, 4719, 2965284, 240641848, 2012075697, 2012075697, 240641848, 2965284, 4719
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OFFSET
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1,1
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COMMENTS
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Table starts
.....3..........9.............27................78.................222
.....9.........81............729..............6084...............49284
....27........729..........19683............474552............10941048
....78.......6084.........474552..........31831908..........2012075697
...222......49284.......10941048........2012075697........343790697459
...622.....386884......240641848......119453097281......54331933243657
..1722....2965284.....5106219048.....6761580343329....8093513353675817
..4719...22268961...105087226959...367501986337710.1146370541408659891
.12821..164378041..2107490863661.19300005472710895
.34575.1195430625.41332013859375
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..84
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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) -4*a(n-3) +9*a(n-4) +6*a(n-5) +a(n-6)
k=2: [order 15]
k=3: [order 28]
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..1..0....0..2..1..2....0..0..2..1....0..0..2..2....0..1..2..1
..0..1..0..0....0..2..1..1....0..1..0..0....1..1..1..2....0..1..1..1
..0..1..2..1....1..0..2..0....0..1..0..1....1..0..1..0....1..2..2..1
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CROSSREFS
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Sequence in context: A072404 A222996 A268026 * A228977 A223576 A125824
Adjacent sequences: A268016 A268017 A268018 * A268020 A268021 A268022
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Jan 24 2016
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STATUS
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approved
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