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A186589
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T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
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10
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43046721, 8824, 8824, 38608, 827, 38608, 192026, 1991, 1991, 192026, 805791, 12263, 5879, 12263, 805791, 1728546, 42313, 39757, 39757, 42313, 1728546, 2296065, 79015, 115699, 163723, 115699, 79015, 2296065, 2604716, 98893, 149305, 293665, 293665
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OFFSET
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1,1
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COMMENTS
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Table starts
.43046721...8824..38608.192026.805791.1728546.2296065.2604716.2927679.3089510
.....8824....827...1991..12263..42313...79015...98893..104983..108805..112735
....38608...1991...5879..39757.115699..149305..156259..160945..165739..171145
...192026..12263..39757.163723.293665..328891..335737..342691..350257..364195
...805791..42313.115699.293665.569947..626233..635779..645937..662467..701065
..1728546..79015.149305.328891.626233..811795..823249..841075..880969.1019683
..2296065..98893.156259.335737.635779..823249..855715..895753.1034611.1222033
..2604716.104983.160945.342691.645937..841075..895753.1049539.1237105.1449115
..2927679.108805.165739.350257.662467..880969.1034611.1237105.1464331.1727785
..3089510.112735.171145.364195.701065.1019683.1222033.1449115.1727785.2211763
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LINKS
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FORMULA
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Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+2*a(n-4)-4*a(n-5)+2*a(n-6)+2*a(n-8)-2*a(n-9) for n>24,14,13,14,15,16,17,18 for k=1..8
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EXAMPLE
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Some solutions for 6X5
..0..1..2..2..2....0..0..1..1..0....0..0..1..1..0....0..0..0..0..0
..0..0..1..2..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..1..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....2..2..2..0..0....0..0..0..0..1....2..1..0..0..0
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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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