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A201155
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T(n,k)=Number of nXk 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
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8
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3, 6, 6, 11, 20, 11, 19, 56, 56, 19, 32, 140, 235, 140, 32, 53, 330, 860, 860, 330, 53, 87, 745, 2910, 4572, 2910, 745, 87, 142, 1634, 9287, 22183, 22183, 9287, 1634, 142, 231, 3504, 28452, 100362, 153796, 100362, 28452, 3504, 231, 375, 7388, 84473, 432048
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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.....56......140........330.........745..........1634...........3504
..11....56....235......860.......2910........9287.........28452..........84473
..19...140....860.....4572......22183......100362........432048........1791740
..32...330...2910....22183.....153796......988216.......6002677.......34907951
..53...745...9287...100362.....988216.....9005581......77316192......632331257
..87..1634..28452...432048....6002677....77316192.....938925282....10844322561
.142..3504..84473..1791740...34907951...632331257...10844322561...177169920997
.231..7388.244933..7225068..196209473..4971371594..120031503310..2771232663847
.375.15366.697065.28510387.1073245835.37852928161.1282802588833.41769721151444
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LINKS
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EXAMPLE
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Some solutions for n=3 k=7
..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..1..1..1
..0..1..1..1..2..1..1....0..0..1..2..2..2..2....0..0..1..1..1..2..2
..1..1..1..1..2..2..2....0..0..1..1..2..1..1....1..1..2..2..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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