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A204616
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T(n,k) = Number of (n+1) X (k+1) 0..1 arrays with the determinants of 2 X 2 subblocks nondecreasing rightwards and downwards.
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9
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16, 47, 47, 125, 181, 125, 335, 749, 749, 335, 907, 3254, 4901, 3254, 907, 2470, 14199, 31805, 31805, 14199, 2470, 6740, 62031, 205117, 313597, 205117, 62031, 6740, 18406, 271125, 1322417, 3084029, 3084029, 1322417, 271125, 18406, 50278, 1185255
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OFFSET
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1,1
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COMMENTS
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Table starts:
....16......47......125........335..........907..........2470............6740
....47.....181......749.......3254........14199.........62031..........271125
...125.....749.....4901......31805.......205117.......1322417.........8522985
...335....3254....31805.....313597......3084029......30487865.......301345617
...907...14199...205117....3084029.....45645661.....681254361.....10133992449
..2470...62031..1322417...30487865....681254361...15468240213....349154906413
..6740..271125..8522985..301345617..10133992449..349154906413..11909737623605
.18406.1185255.54938417.2981578169.150976448169.7906679632133.408218289321933
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..480
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EXAMPLE
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Some solutions for n=4, k=3:
..1..0..1..1....0..1..0..1....0..1..0..0....0..0..1..0....1..0..1..1
..0..0..0..0....0..0..0..1....0..1..0..0....1..0..0..0....1..0..1..1
..0..1..1..0....1..0..0..0....0..1..0..1....0..0..0..1....0..0..1..1
..0..0..0..0....1..0..0..0....0..1..0..0....0..0..0..1....1..0..0..0
..1..1..1..1....1..0..0..0....0..1..0..0....0..0..0..0....1..0..0..0
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CROSSREFS
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Sequence in context: A133345 A253231 A253350 * A204800 A194268 A292171
Adjacent sequences: A204613 A204614 A204615 * A204617 A204618 A204619
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Jan 17 2012
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STATUS
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approved
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