A186613 Number of (n+5) X 8 binary arrays with every 6 X 6 subblock commuting with each horizontal and vertical neighbor 6 X 6 subblock.

140552, 5072, 6758, 30997, 172192, 614995, 1360475, 1965243, 2222975, 2268227, 2275143, 2281163, 2287191, 2293247, 2300019, 2311383, 2361616, 2636173, 3542458, 5299299, 7528860, 9808265, 12133455, 14688989, 17882279, 21932181, 26461575

Offset

1,1

Comments

Column 3 of A186619.

Links

R. H. Hardin, Table of n, a(n) for n = 1..87

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 > 24.

Example

Some solutions for 7 X 8
..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..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..1....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
..1..0..1..0..0..0..0..0....1..0..0..0..0..0..0..0....1..1..0..0..0..0..0..0

Crossrefs

Cf. A186619.

Sequence in context: A242143 A156409 A281583 * A036527 A250570 A252017

Adjacent sequences: A186610 A186611 A186612 * A186614 A186615 A186616

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved