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A248842
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T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in 0..i and no value appearing more than k times
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7
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2, 2, 4, 2, 6, 8, 2, 6, 22, 16, 2, 6, 24, 96, 32, 2, 6, 24, 118, 482, 64, 2, 6, 24, 120, 686, 2736, 128, 2, 6, 24, 120, 718, 4598, 17302, 256, 2, 6, 24, 120, 720, 4994, 34872, 120576, 512, 2, 6, 24, 120, 720, 5038, 39556, 295044, 917762, 1024, 2, 6, 24, 120, 720, 5040
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OFFSET
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1,1
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COMMENTS
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Table starts
....2.......2........2........2........2........2........2........2........2
....4.......6........6........6........6........6........6........6........6
....8......22.......24.......24.......24.......24.......24.......24.......24
...16......96......118......120......120......120......120......120......120
...32.....482......686......718......720......720......720......720......720
...64....2736.....4598.....4994.....5038.....5040.....5040.....5040.....5040
..128...17302....34872....39556....40260....40318....40320....40320....40320
..256..120576...295044...351320...361636...362804...362878...362880...362880
..512..917762..2753958..3456742..3606044..3626872..3628706..3628798..3628800
.1024.7574016.28103804.37314126.39517182.39874764.39913932.39916686.39916798
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LINKS
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EXAMPLE
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Some solutions for n=6 k=4
..0....0....0....0....0....0....1....0....0....1....0....0....0....1....1....1
..1....0....1....1....1....1....0....2....1....0....0....2....2....2....0....0
..3....1....0....1....1....3....1....3....1....0....0....2....2....2....3....2
..0....1....4....3....2....2....2....0....3....4....1....0....4....4....1....0
..1....2....5....2....3....4....3....4....0....5....5....2....3....5....0....5
..4....6....4....0....3....5....1....3....0....6....3....2....6....2....6....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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