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A233117
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing
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8
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29, 112, 123, 365, 1182, 464, 1079, 9514, 11741, 1636, 2969, 67130, 252958, 110078, 5523, 7697, 427059, 4736663, 6419678, 980034, 18027, 19161, 2495541, 79223727, 326851781, 155904223, 8365600, 57505, 46225, 13620058, 1206772195, 14834218690
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OFFSET
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1,1
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COMMENTS
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Table starts
.....29......112........365........1079........2969.........7697.......19161
....123.....1182.......9514.......67130......427059......2495541....13620058
....464....11741.....252958.....4736663....79223727...1206772195.16999415895
...1636...110078....6419678...326851781.14834218690.610630273520
...5523...980034..155904223.21857081167
..18027..8365600.3638300272
..57505.69167118
.180104
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LINKS
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EXAMPLE
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Some solutions for n=2 k=4
..0..1..1..0..0....2..0..2..0..0....1..2..0..0..0....2..0..0..0..2
..0..1..1..0..0....0..0..1..1..2....0..0..0..2..1....1..2..1..1..0
..0..0..1..2..2....0..1..1..2..2....0..1..2..1..2....1..1..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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