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A232783
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j^2*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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4
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29, 110, 110, 338, 1140, 338, 898, 9315, 9315, 898, 2139, 63536, 220424, 63536, 2139, 4667, 371914, 4237458, 4237458, 371914, 4667, 9450, 1940081, 67436728, 241302250, 67436728, 1940081, 9450, 18046, 9154020, 946103684, 11306030383, 11306030383
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OFFSET
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1,1
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COMMENTS
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Table starts
....29.....110.......338.........898........2139.........4667........9450
...110....1140......9315.......63536......371914......1940081.....9154020
...338....9315....220424.....4237458....67436728....946103684.11847657204
...898...63536...4237458...241302250.11306030383.462682303760
..2139..371914..67436728.11306030383
..4667.1940081.946103684
..9450.9154020
.18046
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LINKS
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EXAMPLE
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Some solutions for n=2 k=4
..1..0..1..2..1....0..1..2..0..0....0..0..0..0..0....0..1..1..0..2
..1..1..0..2..2....0..2..0..2..2....0..0..1..1..2....1..2..0..1..2
..0..1..2..1..2....2..1..2..2..2....0..0..1..1..2....0..0..2..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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