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A200534
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T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards
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8
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3, 6, 6, 11, 20, 11, 19, 57, 57, 19, 32, 146, 243, 146, 32, 53, 354, 905, 905, 354, 53, 87, 825, 3135, 4848, 3135, 825, 87, 142, 1873, 10292, 23925, 23925, 10292, 1873, 142, 231, 4169, 32556, 111085, 167171, 111085, 32556, 4169, 231, 375, 9144, 100065, 494555
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OFFSET
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1,1
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COMMENTS
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Table starts
...3.....6.....11.......19.........32..........53............87............142
...6....20.....57......146........354.........825..........1873...........4169
..11....57....243......905.......3135.......10292.........32556.........100065
..19...146....905.....4848......23925......111085........494555........2132979
..32...354...3135....23925.....167171.....1092645.......6820330.......41135050
..53...825..10292...111085....1092645....10000162......87098434......731106792
..87..1873..32556...494555....6820330....87098434....1056792824....12348422785
.142..4169.100065..2132979...41135050...731106792...12348422785...201092476918
.231..9144.300847..8981773..241717185..5964324991..140068079857..3178929109296
.375.19825.888587.37125420.1391776867.47562454949.1551453118671.49064050909052
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..198
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EXAMPLE
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Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..1
..0..0..1..2....0..0..0..0....0..0..0..1....0..0..1..2....0..0..1..1
..0..1..1..2....0..2..2..2....0..0..0..1....0..2..1..2....0..1..2..1
..0..2..2..2....1..1..1..2....1..1..1..2....0..1..2..2....0..1..1..1
..0..2..1..2....1..1..2..2....2..2..2..2....2..2..2..2....0..2..2..2
..0..2..2..2....2..2..2..2....1..1..2..2....1..2..2..2....1..1..2..2
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CROSSREFS
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Column 1 is A001911(n+1)
Sequence in context: A066779 A132384 A201155 * A184284 A066297 A160713
Adjacent sequences: A200531 A200532 A200533 * A200535 A200536 A200537
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Nov 18 2011
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STATUS
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approved
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