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A232526
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T(n,k) = number of (n+1) X (k+1) 0..3 arrays x(i,j) with every row sum{j*x(i,j), j=1..k+1} equal, and every column sum{i*x(i,j), i=1..n+1} equal, with top left element <= 1.
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4
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4, 4, 4, 2, 16, 2, 8, 19, 19, 8, 10, 50, 223, 50, 10, 2, 124, 619, 619, 124, 2, 22, 575, 523, 25138, 523, 575, 22, 36, 3144, 16285, 84849, 84849, 16285, 3144, 36, 2, 4295, 141433, 150081, 21748991, 150081, 141433, 4295, 2, 94, 6598, 2231968, 32216904, 347675392
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Table starts:
..4....4.......2........8........10.........2.......22.........36........2
..4...16......19.......50.......124.......575.....3144.......4295.....6598
..2...19.....223......619.......523.....16285...141433....2231968.20520962
..8...50.....619....25138.....84849....150081.32216904.3452170860
.10..124.....523....84849..21748991.347675392
..2..575...16285...150081.347675392
.22.3144..141433.32216904
.36.4295.2231968
..2.6598
.94
Some solutions for n=3 and k=4:
..1..3..1..1..2....1..0..2..3..1....0..1..1..0..2....0..2..2..1..2
..2..1..1..3..1....2..1..1..3..1....0..3..3..0..0....1..2..0..1..3
..1..1..3..3..0....1..2..0..1..3....2..1..1..2..0....2..2..2..3..0
..2..2..1..0..3....2..2..3..1..1....1..0..0..1..2....2..1..2..1..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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