A188104 Number of (n+3)X11 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

20888, 3110, 4285, 6253, 9265, 11245, 12477, 14853, 17589, 20717, 24669, 30593, 40709, 52461, 66065, 83805, 108473, 140714, 178759, 226864, 292013, 376487, 480369, 612051, 785445, 1010405, 1292818, 1651136, 2116315, 2717534, 3480088

Offset

1,1

Comments

Column 8 of A188105

Links

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

Formula

Empirical: a(n)=2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>18

Example

Some solutions for 5X11
..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..1..1
..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..1..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

Crossrefs

Sequence in context: A256840 A031813 A043654 * A278903 A233649 A262668

Adjacent sequences: A188101 A188102 A188103 * A188105 A188106 A188107

Keyword

nonn

Author

R. H. Hardin Mar 20 2011

Status

approved