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A219852
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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 nonincreasing columns, 0..2 nXk array
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14
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3, 3, 6, 6, 7, 10, 10, 17, 16, 15, 15, 33, 65, 33, 21, 21, 56, 218, 225, 62, 28, 28, 86, 591, 1302, 669, 108, 36, 36, 125, 1437, 5950, 6367, 1815, 177, 45, 45, 173, 3195, 23946, 48677, 28116, 4617, 276, 55, 55, 230, 6668, 88110, 328442, 356688, 116212, 11125
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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...........36
..6....7.....17.......33.........56..........86..........125..........173
.10...16.....65......218........591........1437.........3195.........6668
.15...33....225.....1302.......5950.......23946........88110.......303739
.21...62....669.....6367......48677......328442......2061724.....12323578
.28..108...1815....28116.....356688.....4032388.....43528933....457223032
.36..177...4617...116212....2458431....47321720....902318235..17136806921
.45..276..11125...452177...16110182...539690445..18538578004.645090935308
.55..413..25523..1661479..100697878..5969586828.371652215049
.66..597..55964..5791018..602555826.63786858888
.78..838.117681.19242699.3462463890
.91.1147.238066.61244524
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..0..0....0..0..0..0....1..1..1..1....1..1..0..0....1..0..0..0
..0..0..0..2....0..0..0..1....1..1..1..1....0..0..0..0....1..0..0..0
..0..2..0..0....1..1..1..2....1..1..1..1....0..0..1..2....2..0..0..1
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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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