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A219627
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T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array
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14
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3, 3, 6, 6, 11, 10, 10, 24, 27, 15, 15, 54, 130, 56, 21, 21, 103, 582, 566, 105, 28, 28, 178, 2109, 5072, 2134, 183, 36, 36, 290, 6637, 37215, 37787, 7259, 301, 45, 45, 453, 19166, 231634, 556742, 248473, 22715, 472, 55, 55, 684, 51491, 1278800, 6834071, 7236952
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OFFSET
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1,1
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COMMENTS
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Table starts
..3....3.......6........10..........15............21............28
..6...11......24........54.........103...........178...........290
.10...27.....130.......582........2109..........6637.........19166
.15...56.....566......5072.......37215........231634.......1278800
.21..105....2134.....37787......556742.......6834071......72702948
.28..183....7259....248473.....7236952.....172829660....3504611581
.36..301...22715...1468544....83758183....3863292782..149566037863
.45..472...66250...7970617...883579212...78707033574.5869938821256
.55..711..181791..40301719..8637866670.1486531293773
.66.1035..472662.191514623.79017000203
.78.1463.1171147.860805160
.91.2016.2778770
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..1..0....0..0..0..1....0..0..1..1....1..1..1..2....0..0..1..1
..0..0..0..0....0..0..2..1....1..1..2..2....1..1..2..2....0..0..0..0
..1..0..1..2....1..1..0..0....2..2..2..2....2..2..2..2....0..0..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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