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A233353
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
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6
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80, 464, 556, 2164, 11562, 3362, 8538, 190529, 256099, 18445, 29595, 2607957, 15632055, 5139176, 94060, 92282, 30702571, 792134993, 1176261450, 95102518, 454538, 263644, 318690200, 34363298528, 225502088136, 81564498707, 1651408189
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OFFSET
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1,1
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COMMENTS
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Table starts
......80........464........2164.........8538.......29595.........92282
.....556......11562......190529......2607957....30702571.....318690200
....3362.....256099....15632055....792134993.34363298528.1305785141000
...18445....5139176..1176261450.225502088136
...94060...95102518.81564498707
..454538.1651408189
.2109213
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LINKS
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EXAMPLE
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Some solutions for n=2 k=4
..2..0..0..0..2....0..0..0..0..3....2..0..0..2..0....2..0..0..2..3
..2..1..1..2..2....2..1..2..0..2....0..0..3..2..3....2..0..0..2..3
..1..2..2..2..3....0..1..1..3..3....1..2..1..2..3....1..3..3..2..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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