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A186619
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
10
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
OFFSET
1,1
COMMENTS
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
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Sequence in context: A352987 A344667 A186610 * A186611 A017004 A017076
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 24 2011
STATUS
approved