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A184137
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T(n,k)=Number of nXk 0..2 arrays with rows and columns in nondecreasing order
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8
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3, 6, 6, 10, 29, 10, 15, 112, 112, 15, 21, 356, 1169, 356, 21, 28, 972, 10020, 10020, 972, 28, 36, 2359, 70243, 250841, 70243, 2359, 36, 45, 5217, 414848, 5136783, 5136783, 414848, 5217, 45, 55, 10704, 2126064, 86649029, 318174607, 86649029, 2126064
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OFFSET
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1,1
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COMMENTS
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Empirical: T(n,k) for elements in 0..z is a polynomial in n of degree ((z+1)^k)-1 for fixed k
Table starts
..3.....6........10............15................21....................28
..6....29.......112...........356...............972..................2359
.10...112......1169.........10020.............70243................414848
.15...356.....10020........250841...........5136783..............86649029
.21...972.....70243.......5136783.........318174607...........16226388113
.28..2359....414848......86649029.......16226388113.........2533164987353
.36..5217...2126064....1235699769......692646032166.......330480778987068
.45.10704...9681099...15270848022....25325301730396.....36743249714104252
.55.20647..39886396..166834456961...809428667338479...3551368791876387512
.66.37818.150795172.1636866521557.22988798937359989.303434279544306336607
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LINKS
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EXAMPLE
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Some solutions for 4X3
..0..1..2....0..0..0....0..1..2....0..1..2....0..0..2....0..0..0....1..1..2
..1..0..2....0..0..1....1..0..2....1..1..2....0..0..2....0..0..1....1..2..2
..2..0..0....0..0..2....2..1..2....1..2..1....0..2..2....0..1..2....2..1..0
..2..0..1....2..2..0....2..2..1....1..2..1....2..1..1....0..2..1....2..1..0
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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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