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A265005
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T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with rows and columns nondecreasing.
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7
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1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 3, 7, 9, 1, 1, 3, 14, 29, 21, 1, 1, 4, 21, 112, 140, 51, 1, 1, 4, 41, 261, 1095, 758, 127, 1, 1, 5, 54, 846, 4919, 13009, 4448, 323, 1, 1, 5, 86, 1720, 27000, 120096, 175865, 27782, 835, 1, 1, 6, 120, 4193, 97341, 1268728, 3558888, 2647438
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OFFSET
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1,5
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COMMENTS
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Table starts
.1....1.......1.........1............1..............1..............1
.1....2.......2.........3............3..............4..............4
.1....4.......7........14...........21.............41.............54
.1....9......29.......112..........261............846...........1720
.1...21.....140......1095.........4919..........27000..........97341
.1...51.....758.....13009.......120096........1268728........8360853
.1..127....4448....175865......3558888.......76714325.....1001060834
.1..323...27782...2647438....123026475.....5732148226...155796077603
.1..835..182322..43347498...4817478608...507120480166.30055866217955
.1.2188.1245399.760869739.209081118730.51689513352516
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LINKS
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EXAMPLE
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Some solutions for n=4 k=4
..0..0..1..1....0..0..2..2....0..0..0..1....0..0..1..2....0..0..0..2
..0..1..2..3....0..0..2..2....0..1..2..2....0..1..2..2....0..1..2..3
..0..1..2..3....1..1..3..3....1..1..2..2....0..1..2..3....1..1..2..3
..2..2..3..3....1..1..3..3....3..3..3..3....1..3..3..3....1..2..3..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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