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

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

R. H. Hardin, Table of n, a(n) for n = 1..448

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

Adjacent sequences: A186616 A186617 A186618 * A186620 A186621 A186622

Keyword

nonn,tabl

Author

R. H. Hardin Feb 24 2011

Status

approved