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A186881
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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock
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10
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262144, 2428, 2428, 19236, 421, 19236, 46583, 1201, 1201, 46583, 104701, 6829, 6712, 6829, 104701, 186096, 14221, 20152, 20152, 14221, 186096, 277659, 18517, 28984, 79096, 28984, 18517, 277659, 322910, 21661, 32992, 100600, 100600, 32992, 21661
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OFFSET
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1,1
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COMMENTS
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Table starts
.262144..2428..19236..46583.104701.186096..277659..322910..569446..975469
...2428...421...1201...6829..14221..18517...21661...25381...34645...64384
..19236..1201...6712..20152..28984..32992...37576...46624...73744..138808
..46583..6829..20152..79096.100600.108640..121144..148048..208576..364504
.104701.14221..28984.100600.214264.230224..260584..310528..410080..683224
.186096.18517..32992.108640.230224.287368..338176..414184..568744..927136
.277659.21661..37576.121144.260584.338176..443560..571984..798832.1272712
.322910.25381..46624.148048.310528.414184..571984..801208.1130584.1842208
.569446.34645..73744.208576.410080.568744..798832.1130584.1845448.2954656
.975469.64384.138808.364504.683224.927136.1272712.1842208.2954656.6154456
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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)+3*a(n-3)-6*a(n-4)+3*a(n-5)+3*a(n-6)-3*a(n-7) for n>20,10,11,12,13,14,15,16 respectively for row=1..8
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EXAMPLE
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Some solutions for 5X4
..0..0..0..2....0..0..1..1....0..0..0..0....1..0..0..0....3..3..3..3
..0..0..0..0....0..0..0..3....0..0..0..0....0..0..0..3....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..3..0..0..0....0..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0
..3..3..0..0....3..0..0..0....3..0..0..0....2..0..0..0....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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