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A239178
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors
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16
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6, 26, 12, 98, 82, 36, 378, 514, 676, 96, 1512, 3358, 9604, 4338, 264, 6018, 22396, 142884, 130890, 29380, 720, 23890, 148820, 2286144, 4140964, 1876940, 196698, 1968, 94846, 990458, 36216324, 141857204, 127574544, 26726740, 1321986, 5376
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 2*a(n-1) +2*a(n-2)
k=2: [order 19]
k=3: [order 67]
Empirical for row n:
n=1: a(n) = 4*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -4*a(n-5) +a(n-6)
n=2: [order 31]
n=3: [order 21]
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..2..2....0..1..2..2..2....2..2..1..1..0....1..1..0..1..1
..2..2..2..1..1....2..2..1..1..1....0..0..0..2..2....0..2..2..2..0
..2..2..2..0..0....2..2..2..2..2....0..0..1..2..2....0..0..0..0..0
..0..0..0..1..1....1..1..0..0..0....2..2..2..0..0....2..2..2..1..1
Table starts
....6......26.........98...........378.............1512................6018
...12......82........514..........3358............22396..............148820
...36.....676.......9604........142884..........2286144............36216324
...96....4338.....130890.......4140964........141857204..........4845741276
..264...29380....1876940.....127574544.......9704723126........733415243746
..720..196698...26726740....3901908720.....652274371446.....108383467365104
.1968.1321986..381984614..119751372066...44086966064930...16126266923705212
.5376.8867938.5442841504.3664449484670.2970697967221324.2391741572658733884
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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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