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A223762
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T(n,k)=Number of nXk 0..3 arrays with rows, antidiagonals and columns unimodal
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8
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4, 16, 16, 50, 256, 50, 130, 2500, 2500, 130, 296, 16900, 61733, 16900, 296, 610, 87616, 916107, 916107, 87616, 610, 1163, 372100, 9478535, 26631193, 9478535, 372100, 1163, 2083, 1352569, 74824917, 499583168, 499583168, 74824917, 1352569, 2083
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OFFSET
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1,1
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COMMENTS
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Table starts
....4.......16..........50............130..............296.................610
...16......256........2500..........16900............87616..............372100
...50.....2500.......61733.........916107..........9478535............74824917
..130....16900......916107.......26631193........499583168..........6754232986
..296....87616.....9478535......499583168......15947472102........350182483445
..610...372100....74824917.....6754232986.....350182483445......12025063773557
.1163..1352569...477860225....70657105931....5733827943118.....298630624023222
.2083..4338889..2571238699...600526842770...73972033945807....5692159574625373
.3544.12559936.12006271464..4295532642860..782389879664731...86933612444360250
.5776.33362176.49749360288.26553802745045.6990377642784235.1098959847553820404
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..127
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FORMULA
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Empirical: columns k=1..5 are polynomials of degree 6*k for n>0,0,0,2,5
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..3..2....1..2..1..0....0..0..2..3....0..0..2..0....1..1..2..0
..1..2..3..3....1..2..3..1....1..2..2..3....0..0..2..1....1..2..2..3
..1..3..3..2....1..3..3..3....1..2..2..0....0..1..3..1....0..2..3..0
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CROSSREFS
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Column 1 is A223659
Sequence in context: A224204 A238287 A223811 * A223850 A223663 A224113
Adjacent sequences: A223759 A223760 A223761 * A223763 A223764 A223765
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Mar 27 2013
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STATUS
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approved
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