A186602 Number of (n+4) X 6 binary arrays with every 5 X 5 subblock commuting with each horizontal and vertical neighbor 5 X 5 subblock.

6187, 543, 916, 3455, 10882, 23977, 38625, 49309, 52849, 53957, 54873, 55797, 56857, 59338, 67619, 89028, 127253, 177594, 232896, 295106, 371360, 465354, 572524, 687136, 816937, 982191, 1203410, 1488146, 1835626, 2260505, 2797091, 3483636

Offset

1,1

Comments

Column 2 of A186609.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9)+a(n-10)-a(n-13) for n>20.

Example

Some solutions for 8 X 6
..0..0..0..1..0..1....0..0..1..1..0..1....0..0..0..1..1..0....1..1..1..1..1..1
..0..0..0..0..0..1....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..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....1..0..1..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..1..0..0..0..0....1..0..1..0..0..0....1..0..1..0..0..0....0..0..0..0..0..1

Crossrefs

Cf. A186609.

Sequence in context: A068757 A278868 A255791 * A031836 A094494 A235277

Adjacent sequences: A186599 A186600 A186601 * A186603 A186604 A186605

Keyword

nonn

Author

R. H. Hardin, Feb 24 2011

Status

approved