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A239424
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T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest, modulo 4
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5
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3, 6, 6, 14, 18, 14, 32, 80, 80, 32, 72, 320, 684, 320, 72, 164, 1244, 4740, 4740, 1244, 164, 372, 4990, 34728, 60626, 34728, 4990, 372, 844, 19560, 247942, 811554, 811554, 247942, 19560, 844, 1916, 77220, 1823840, 10575232, 21127494, 10575232, 1823840
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OFFSET
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1,1
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COMMENTS
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Table starts
....3.......6........14..........32...........72...........164...........372
....6......18........80.........320.........1244..........4990.........19560
...14......80.......684........4740........34728........247942.......1823840
...32.....320......4740.......60626.......811554......10575232.....145743440
...72....1244.....34728......811554.....21127494.....503941286...13584156020
..164....4990....247942....10575232....503941286...22336992290.1143701274244
..372...19560...1823840...145743440..13584156020.1143701274244
..844...77220..13104784..1928821306.331591613568
.1916..304224..96061078.26684346362
.4348.1197958.695765782
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3)
k=2: [order 14] for n>15
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EXAMPLE
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Some solutions for n=4 k=4
..1..3..3..1....3..2..3..3....3..2..2..1....3..1..2..3....3..2..2..1
..3..0..0..2....2..0..0..1....2..0..1..0....2..0..0..0....2..0..3..0
..2..1..2..0....2..0..0..3....3..1..1..2....3..0..0..2....2..1..0..0
..3..1..2..1....2..0..1..2....3..2..2..2....3..0..1..2....1..0..0..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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