A186612 Number of (n+5) X 7 binary arrays with every 6 X 6 subblock commuting with each horizontal and vertical neighbor 6 X 6 subblock.

78654, 3201, 5072, 25852, 137138, 451621, 955892, 1448220, 1759720, 1877180, 1901280, 1907684, 1913192, 1918708, 1924488, 1935913, 1995810, 2261835, 3001848, 4341477, 6086182, 7974728, 9935846, 12109496, 14762642, 18020920, 21690054

Offset

1,1

Comments

Column 2 of A186619.

Links

R. H. Hardin, Table of n, a(n) for n = 1..142

Formula

Empirical: 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>25.

Example

Some solutions for 9 X 7
..0..0..0..0..1..0..0....0..0..0..0..0..1..0....1..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..1..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
..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..1..0..0..0..0....0..0..0..0..0..0..0....0..1..0..1..0..0..0
..0..1..1..1..0..0..0....1..1..1..0..1..0..0....0..0..0..0..0..0..0

Crossrefs

Cf. A186619.

Sequence in context: A368560 A123159 A184230 * A180973 A264950 A204570

Adjacent sequences: A186609 A186610 A186611 * A186613 A186614 A186615

Keyword

nonn

Author

R. H. Hardin, Feb 24 2011

Status

approved