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A186609
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T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock
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10
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33554432, 6187, 6187, 11884, 543, 11884, 42120, 916, 916, 42120, 156276, 3455, 1566, 3455, 156276, 403567, 10882, 5813, 5813, 10882, 403567, 707955, 23977, 19840, 19248, 19840, 23977, 707955, 912129, 38625, 44120, 54040, 54040, 44120, 38625
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OFFSET
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1,1
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COMMENTS
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Table starts
.33554432..6187.11884..42120.156276.403567.707955.912129.992000.1040400.1082540
.....6187...543...916...3455..10882..23977..38625..49309..52849...53957...54873
....11884...916..1566...5813..19840..44120..61336..66332..67552...68580...69616
....42120..3455..5813..19248..54040..90664..98376..99820.101072..102332..103620
...156276.10882.19840..54040.101080.126344.132040.133484.134936..136416..138160
...403567.23977.44120..90664.126344.169400.176696.178372.180076..182044..185232
...707955.38625.61336..98376.132040.176696.191232.193000.195032..198284..206372
...912129.49309.66332..99820.133484.178372.193000.195916.199176..207272..230808
...992000.52849.67552.101072.134936.180076.195032.199176.208164..231708..275600
..1040400.53957.68580.102332.136416.182044.198284.207272.231708..276500..325272
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LINKS
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FORMULA
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Empirical, for all columns: a(n)=a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9)+a(n-10)-a(n-13) for n>21,20,19,18,19,20,21,22 respectively for k in 1..8
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EXAMPLE
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Some solutions for 7X6
..0..0..0..0..0..0....0..0..0..1..1..1....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..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
..1..1..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..1..0..0..0..0
..1..1..1..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0
..0..0..1..1..0..0....1..1..1..1..0..0....0..1..0..0..0..0....0..1..0..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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