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A186619
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T(n,k)=Number of (n+5)X(k+5) binary arrays with every 6X6 subblock commuting with each horizontal and vertical neighbor 6X6 subblock
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10
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68719476736, 78654, 78654, 140552, 3201, 140552, 654700, 5072, 5072, 654700, 3764191, 25852, 6758, 25852, 3764191, 15228305, 137138, 30997, 30997, 137138, 15228305, 40150599, 451621, 172192, 88336, 172192, 451621, 40150599, 71051374
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OFFSET
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1,1
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COMMENTS
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Table starts
.68719476736...78654..140552..654700.3764191.15228305.40150599.71051374
.......78654....3201....5072...25852..137138...451621...955892..1448220
......140552....5072....6758...30997..172192...614995..1360475..1965243
......654700...25852...30997...88336..439891..1478651..2676699..3211547
.....3764191..137138..172192..439891.1630171..3608091..4710363..4814107
....15228305..451621..614995.1478651.3608091..5490491..6009659..6088635
....40150599..955892.1360475.2676699.4710363..6009659..6820667..6908987
....71051374.1448220.1965243.3211547.4814107..6088635..6908987..7083459
....92432567.1759720.2222975.3276255.4823775..6098495..6919495..7094123
...100362959.1877180.2268227.3284387.4832547..6108363..6930031..7105051
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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-4)-a(n-5)+a(n-6)-a(n-7)-a(n-10)+a(n-11)+a(n-12)-a(n-16) for n>26,25,24,23,22,23,24,25 respectively for k=1..8
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EXAMPLE
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Some solutions for 8X7
..0..0..1..0..0..0..1....0..0..0..1..1..0..0....0..0..0..1..0..1..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..1..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..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..1..0..1..1..0..0....0..0..0..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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