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A188105
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T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
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10
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65536, 708, 708, 1417, 143, 1417, 3594, 243, 243, 3594, 8274, 643, 486, 643, 8274, 13814, 1482, 1421, 1421, 1482, 13814, 17850, 2374, 3013, 3341, 3013, 2374, 17850, 20888, 2866, 3765, 5037, 5037, 3765, 2866, 20888, 24117, 3110, 4041, 5661, 7661
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OFFSET
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1,1
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COMMENTS
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Table starts
.65536..708.1417.3594..8274.13814.17850.20888.24117.26596.29585.35384.46623
...708..143..243..643..1482..2374..2866..3110..3322..3542..3834..4523..6132
..1417..243..486.1421..3013..3765..4041..4285..4537..4817..5317..6393..9606
..3594..643.1421.3341..5037..5661..5953..6253..6581..7077..8093.10545.15169
..8274.1482.3013.5037..7661..8509..8873..9265..9825.10805.13085.16429.22789
.13814.2374.3765.5661..8509.10229.10653.11245.12257.14405.17321.21217.28861
.17850.2866.4041.5953..8873.10653.11457.12477.14633.17361.20685.25233.34381
.20888.3110.4285.6253..9265.11245.12477.14853.17589.20717.24669.30593.40709
.24117.3322.4537.6581..9825.12257.14633.17589.20945.24693.29997.36761.47833
.26596.3542.4817.7077.10805.14405.17361.20717.24693.30013.36133.43725.56393
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LINKS
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FORMULA
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Empirical for columns 1-8: a(n)=2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>15,14,13,14,15,16,17,18 respectively
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EXAMPLE
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Some solutions for 6X5
..0..0..0..0..1....0..0..0..0..0....1..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..0..0
..0..0..0..0..0....1..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..0..0..0..0....0..1..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..1..0..0..0....0..0..1..0..0....0..0..0..0..1....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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