A188103 Number of (n+3)X10 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

17850, 2866, 4041, 5953, 8873, 10653, 11457, 12477, 14633, 17361, 20685, 25233, 34381, 45145, 57105, 71309, 94870, 122775, 155200, 194417, 252139, 324969, 414279, 524585, 676957, 872342, 1116632, 1421135, 1825426, 2345560, 3003909, 3832777

Offset

1,1

Comments

Column 7 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>17

Example

Some solutions for 5X10
..0..0..0..0..0..0..0..0..1..0....0..0..0..0..0..0..1..1..1..1
..0..0..0..0..0..0..0..0..1..0....0..0..0..0..0..0..0..1..1..1
..0..0..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..1..1
..1..0..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..0..1
..1..1..0..0..0..0..0..0..0..0....0..1..0..0..0..0..0..0..0..0

Crossrefs

Sequence in context: A235782 A235787 A235563 * A250078 A165106 A205661

Adjacent sequences: A188100 A188101 A188102 * A188104 A188105 A188106

Keyword

nonn

Author

R. H. Hardin Mar 20 2011

Status

approved