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A233374
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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^2*x(i,j), i=1..n+1} nondecreasing
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7
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28, 98, 117, 286, 1046, 444, 729, 7595, 10496, 1588, 1678, 46935, 202692, 100400, 5387, 3555, 254725, 3297833, 5346837, 905636, 17645, 7048, 1242042, 46482312, 241678714, 133229754, 7828287, 56425, 13215, 5538026, 579835701, 9480398444
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OFFSET
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1,1
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COMMENTS
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Table starts
.....28.......98........286.........729.......1678.........3555.......7048
....117.....1046.......7595.......46935.....254725......1242042....5538026
....444....10496.....202692.....3297833...46482312....579835701.6509469538
...1588...100400....5346837...241678714.9480398444.328735086329
...5387...905636..133229754.16837550455
..17645..7828287.3183753917
..56425.65352179
.177289
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..40
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..1..0..1....2..1..1..2..0....0..2..2..0..1....1..2..0..1..1
..0..1..1..2..2....0..2..0..2..2....0..2..1..2..2....0..0..2..2..1
..1..2..2..2..2....1..1..2..1..2....1..0..2..2..2....1..1..1..1..2
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CROSSREFS
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Sequence in context: A189808 A130085 A211495 * A231230 A233375 A219691
Adjacent sequences: A233371 A233372 A233373 * A233375 A233376 A233377
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Dec 08 2013
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STATUS
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approved
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